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 |
|---|---|---|---|---|---|---|---|---|
[
31,
51,
29,
29
] | 11 | [
"31-29=2",
"51-29=22",
"22/2=11"
] | Current State: 11:[31, 51, 29, 29], Operations: []
Exploring Operation: 31-29=2, Resulting Numbers: [51, 2]
Generated Node #2: [51, 2] from Operation: 31-29=2
Current State: 11:[51, 2], Operations: ['31-29=2']
Exploring Operation: 51-29=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 51-29=22
Current State: 11:[2, 22], Operations: ['31-29=2', '51-29=22']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[31, 51, 29, 29], Operations: []
Exploring Operation: 51-29=22, Resulting Numbers: [31, 29, 22]
Generated Node #0,0: 11:[31, 29, 22] Operation: 51-29=22
Exploring Operation: 51-31=20, Resulting Numbers: [29, 29, 20]
Generated Node #0,1: 11:[29, 29, 20] Operation: 51-31=20
Exploring Operation: 51-29=22, Resulting Numbers: [31, 29, 22]
Generated Node #0,2: 11:[31, 29, 22] Operation: 51-29=22
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[29, 29, 20], Operations: ['51-31=20']
Exploring Operation: 29-20=9, Resulting Numbers: [29, 9]
Generated Node #0,1,0: 11:[29, 9] Operation: 29-20=9
Exploring Operation: 29/29=1, Resulting Numbers: [20, 1]
Generated Node #0,1,1: 11:[20, 1] Operation: 29/29=1
Exploring Operation: 29-29=0, Resulting Numbers: [20, 0]
Generated Node #0,1,2: 11:[20, 0] Operation: 29-29=0
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 11:[20, 1], Operations: ['51-31=20', '29/29=1']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,11 unequal: No Solution
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 11:[29, 9], Operations: ['51-31=20', '29-20=9']
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Exploring Operation: 29*9=261, Resulting Numbers: [261]
261,11 unequal: No Solution
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 11:[20, 0], Operations: ['51-31=20', '29-29=0']
Exploring Operation: 20+0=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 20*0=0, Resulting Numbers: [0]
0,11 unequal: No Solution
Exploring Operation: 20-0=20, Resulting Numbers: [20]
20,11 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
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[31, 29, 22], Operations: ['51-29=22']
Exploring Operation: 31-29=2, Resulting Numbers: [22, 2]
Generated Node #0,0,0: 11:[22, 2] Operation: 31-29=2
Exploring Operation: 29-22=7, Resulting Numbers: [31, 7]
Generated Node #0,0,1: 11:[31, 7] Operation: 29-22=7
Exploring Operation: 31-22=9, Resulting Numbers: [29, 9]
Generated Node #0,0,2: 11:[29, 9] Operation: 31-22=9
Moving to Node #0,0,0
Current State: 11:[22, 2], Operations: ['51-29=22', '31-29=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[31, 51, 29, 29], Operations: []
Exploring Operation: 51-29=22, Resulting Numbers: [31, 29, 22]
Generated Node #0,0: 11:[31, 29, 22] Operation: 51-29=22
Moving to Node #0,0
Current State: 11:[31, 29, 22], Operations: ['51-29=22']
Exploring Operation: 31-29=2, Resulting Numbers: [22, 2]
Generated Node #0,0,0: 11:[22, 2] Operation: 31-29=2
Moving to Node #0,0,0
Current State: 11:[22, 2], Operations: ['51-29=22', '31-29=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
43,
24,
14,
20
] | 86 | [
"43*20=860",
"24-14=10",
"860/10=86"
] | Current State: 86:[43, 24, 14, 20], Operations: []
Exploring Operation: 43*20=860, Resulting Numbers: [24, 14, 860]
Generated Node #2: [24, 14, 860] from Operation: 43*20=860
Current State: 86:[24, 14, 860], Operations: ['43*20=860']
Exploring Operation: 24-14=10, Resulting Numbers: [860, 10]
Generated Node #3: [860, 10] from Operation: 24-14=10
Current State: 86:[860, 10], Operations: ['43*20=860', '24-14=10']
Exploring Operation: 860/10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[43, 24, 14, 20], Operations: []
Exploring Operation: 24-20=4, Resulting Numbers: [43, 14, 4]
Generated Node #0,0: 86:[43, 14, 4] Operation: 24-20=4
Exploring Operation: 24+20=44, Resulting Numbers: [43, 14, 44]
Generated Node #0,1: 86:[43, 14, 44] Operation: 24+20=44
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[43, 14, 44], Operations: ['24+20=44']
Exploring Operation: 43+44=87, Resulting Numbers: [14, 87]
Generated Node #0,1,0: 86:[14, 87] Operation: 43+44=87
Exploring Operation: 44-43=1, Resulting Numbers: [14, 1]
Generated Node #0,1,1: 86:[14, 1] Operation: 44-43=1
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 86:[14, 87], Operations: ['24+20=44', '43+44=87']
Exploring Operation: 87-14=73, Resulting Numbers: [73]
73,86 unequal: No Solution
Exploring Operation: 14+87=101, Resulting Numbers: [101]
101,86 unequal: No Solution
No 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: 86:[14, 1], Operations: ['24+20=44', '44-43=1']
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,86 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,86 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: 86:[43, 14, 4], Operations: ['24-20=4']
Exploring Operation: 14*4=56, Resulting Numbers: [43, 56]
Generated Node #0,0,0: 86:[43, 56] Operation: 14*4=56
Exploring Operation: 14-4=10, Resulting Numbers: [43, 10]
Generated Node #0,0,1: 86:[43, 10] Operation: 14-4=10
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 86:[43, 10], Operations: ['24-20=4', '14-4=10']
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 43+10=53, Resulting Numbers: [53]
53,86 unequal: No Solution
No 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: 86:[43, 56], Operations: ['24-20=4', '14*4=56']
Exploring Operation: 56-43=13, Resulting Numbers: [13]
13,86 unequal: No Solution
Exploring Operation: 43+56=99, Resulting Numbers: [99]
99,86 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 |
[
46,
36,
29,
68
] | 86 | [
"36*68=2448",
"46+2448=2494",
"2494/29=86"
] | Current State: 86:[46, 36, 29, 68], Operations: []
Exploring Operation: 36*68=2448, Resulting Numbers: [46, 29, 2448]
Generated Node #2: [46, 29, 2448] from Operation: 36*68=2448
Current State: 86:[46, 29, 2448], Operations: ['36*68=2448']
Exploring Operation: 46+2448=2494, Resulting Numbers: [29, 2494]
Generated Node #3: [29, 2494] from Operation: 46+2448=2494
Current State: 86:[29, 2494], Operations: ['36*68=2448', '46+2448=2494']
Exploring Operation: 2494/29=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[46, 36, 29, 68], Operations: []
Exploring Operation: 29+68=97, Resulting Numbers: [46, 36, 97]
Generated Node #0,0: 86:[46, 36, 97] Operation: 29+68=97
Exploring Operation: 68-29=39, Resulting Numbers: [46, 36, 39]
Generated Node #0,1: 86:[46, 36, 39] Operation: 68-29=39
Moving to Node #0,1
Current State: 86:[46, 36, 39], Operations: ['68-29=39']
Exploring Operation: 46+36=82, Resulting Numbers: [39, 82]
Generated Node #0,1,0: 86:[39, 82] Operation: 46+36=82
Exploring Operation: 39-36=3, Resulting Numbers: [46, 3]
Generated Node #0,1,1: 86:[46, 3] Operation: 39-36=3
Moving to Node #0,0
Current State: 86:[46, 36, 97], Operations: ['29+68=97']
Exploring Operation: 97-46=51, Resulting Numbers: [36, 51]
Generated Node #0,0,0: 86:[36, 51] Operation: 97-46=51
Exploring Operation: 46+36=82, Resulting Numbers: [97, 82]
Generated Node #0,0,1: 86:[97, 82] Operation: 46+36=82
Moving to Node #0,1,1
Current State: 86:[46, 3], Operations: ['68-29=39', '39-36=3']
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[39, 82], Operations: ['68-29=39', '46+36=82']
Exploring Operation: 39+82=121, Resulting Numbers: [121]
121,86 unequal: No Solution
Exploring Operation: 82-39=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[97, 82], Operations: ['29+68=97', '46+36=82']
Exploring Operation: 97+82=179, Resulting Numbers: [179]
179,86 unequal: No Solution
Exploring Operation: 97-82=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[36, 51], Operations: ['29+68=97', '97-46=51']
Exploring Operation: 51-36=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Exploring Operation: 36+51=87, Resulting Numbers: [87]
87,86 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
44,
87,
46,
58
] | 55 | [
"87-44=43",
"58-46=12",
"43+12=55"
] | Current State: 55:[44, 87, 46, 58], Operations: []
Exploring Operation: 87-44=43, Resulting Numbers: [46, 58, 43]
Generated Node #2: [46, 58, 43] from Operation: 87-44=43
Current State: 55:[46, 58, 43], Operations: ['87-44=43']
Exploring Operation: 58-46=12, Resulting Numbers: [43, 12]
Generated Node #3: [43, 12] from Operation: 58-46=12
Current State: 55:[43, 12], Operations: ['87-44=43', '58-46=12']
Exploring Operation: 43+12=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[44, 87, 46, 58], Operations: []
Exploring Operation: 87-44=43, Resulting Numbers: [46, 58, 43]
Generated Node #0,0: 55:[46, 58, 43] Operation: 87-44=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[46, 58, 43], Operations: ['87-44=43']
Exploring Operation: 46-43=3, Resulting Numbers: [58, 3]
Generated Node #0,0,0: 55:[58, 3] Operation: 46-43=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 55:[58, 3], Operations: ['87-44=43', '46-43=3']
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[44, 87, 46, 58], Operations: []
Exploring Operation: 87-44=43, Resulting Numbers: [46, 58, 43]
Generated Node #0,0: 55:[46, 58, 43] Operation: 87-44=43
Moving to Node #0,0
Current State: 55:[46, 58, 43], Operations: ['87-44=43']
Exploring Operation: 46-43=3, Resulting Numbers: [58, 3]
Generated Node #0,0,0: 55:[58, 3] Operation: 46-43=3
Moving to Node #0,0,0
Current State: 55:[58, 3], Operations: ['87-44=43', '46-43=3']
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
20,
38,
2,
34
] | 50 | [
"38-20=18",
"2*34=68",
"68-18=50"
] | Current State: 50:[20, 38, 2, 34], Operations: []
Exploring Operation: 38-20=18, Resulting Numbers: [2, 34, 18]
Generated Node #2: [2, 34, 18] from Operation: 38-20=18
Current State: 50:[2, 34, 18], Operations: ['38-20=18']
Exploring Operation: 2*34=68, Resulting Numbers: [18, 68]
Generated Node #3: [18, 68] from Operation: 2*34=68
Current State: 50:[18, 68], Operations: ['38-20=18', '2*34=68']
Exploring Operation: 68-18=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[20, 38, 2, 34], Operations: []
Exploring Operation: 20+34=54, Resulting Numbers: [38, 2, 54]
Generated Node #0,0: 50:[38, 2, 54] Operation: 20+34=54
Exploring Operation: 38-34=4, Resulting Numbers: [20, 2, 4]
Generated Node #0,1: 50:[20, 2, 4] Operation: 38-34=4
Exploring Operation: 38-20=18, Resulting Numbers: [2, 34, 18]
Generated Node #0,2: 50:[2, 34, 18] Operation: 38-20=18
Moving to Node #0,1
Current State: 50:[20, 2, 4], Operations: ['38-34=4']
Exploring Operation: 20/2=10, Resulting Numbers: [4, 10]
Generated Node #0,1,0: 50:[4, 10] Operation: 20/2=10
Exploring Operation: 20+4=24, Resulting Numbers: [2, 24]
Generated Node #0,1,1: 50:[2, 24] Operation: 20+4=24
Exploring Operation: 20/4=5, Resulting Numbers: [2, 5]
Generated Node #0,1,2: 50:[2, 5] Operation: 20/4=5
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 50:[2, 5], Operations: ['38-34=4', '20/4=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,50 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,50 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,50 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 #0,1,0
Current State: 50:[4, 10], Operations: ['38-34=4', '20/2=10']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,50 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,50 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 #0,1,1
Current State: 50:[2, 24], Operations: ['38-34=4', '20+4=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,50 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,50 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,50 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:[38, 2, 54], Operations: ['20+34=54']
Exploring Operation: 54-38=16, Resulting Numbers: [2, 16]
Generated Node #0,0,0: 50:[2, 16] Operation: 54-38=16
Exploring Operation: 38+2=40, Resulting Numbers: [54, 40]
Generated Node #0,0,1: 50:[54, 40] Operation: 38+2=40
Exploring Operation: 38/2=19, Resulting Numbers: [54, 19]
Generated Node #0,0,2: 50:[54, 19] Operation: 38/2=19
Moving to Node #0,2
Current State: 50:[2, 34, 18], Operations: ['38-20=18']
Exploring Operation: 18/2=9, Resulting Numbers: [34, 9]
Generated Node #0,2,0: 50:[34, 9] Operation: 18/2=9
Exploring Operation: 34+18=52, Resulting Numbers: [2, 52]
Generated Node #0,2,1: 50:[2, 52] Operation: 34+18=52
Exploring Operation: 34-18=16, Resulting Numbers: [2, 16]
Generated Node #0,2,2: 50:[2, 16] Operation: 34-18=16
Moving to Node #0,2,1
Current State: 50:[2, 52], Operations: ['38-20=18', '34+18=52']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[20, 38, 2, 34], Operations: []
Exploring Operation: 38-20=18, Resulting Numbers: [2, 34, 18]
Generated Node #0,2: 50:[2, 34, 18] Operation: 38-20=18
Moving to Node #0,2
Current State: 50:[2, 34, 18], Operations: ['38-20=18']
Exploring Operation: 34+18=52, Resulting Numbers: [2, 52]
Generated Node #0,2,1: 50:[2, 52] Operation: 34+18=52
Moving to Node #0,2,1
Current State: 50:[2, 52], Operations: ['38-20=18', '34+18=52']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 0.977431 | hs_3 | sum_heuristic |
[
83,
99,
69,
3
] | 50 | [
"99-83=16",
"69-3=66",
"66-16=50"
] | Current State: 50:[83, 99, 69, 3], Operations: []
Exploring Operation: 99-83=16, Resulting Numbers: [69, 3, 16]
Generated Node #2: [69, 3, 16] from Operation: 99-83=16
Current State: 50:[69, 3, 16], Operations: ['99-83=16']
Exploring Operation: 69-3=66, Resulting Numbers: [16, 66]
Generated Node #3: [16, 66] from Operation: 69-3=66
Current State: 50:[16, 66], Operations: ['99-83=16', '69-3=66']
Exploring Operation: 66-16=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[83, 99, 69, 3], Operations: []
Exploring Operation: 69/3=23, Resulting Numbers: [83, 99, 23]
Generated Node #0,0: 50:[83, 99, 23] Operation: 69/3=23
Exploring Operation: 99/3=33, Resulting Numbers: [83, 69, 33]
Generated Node #0,1: 50:[83, 69, 33] Operation: 99/3=33
Exploring Operation: 99-83=16, Resulting Numbers: [69, 3, 16]
Generated Node #0,2: 50:[69, 3, 16] Operation: 99-83=16
Exploring Operation: 99-69=30, Resulting Numbers: [83, 3, 30]
Generated Node #0,3: 50:[83, 3, 30] Operation: 99-69=30
Exploring Operation: 83-69=14, Resulting Numbers: [99, 3, 14]
Generated Node #0,4: 50:[99, 3, 14] Operation: 83-69=14
Moving to Node #0,2
Current State: 50:[69, 3, 16], Operations: ['99-83=16']
Exploring Operation: 16-3=13, Resulting Numbers: [69, 13]
Generated Node #0,2,0: 50:[69, 13] Operation: 16-3=13
Exploring Operation: 69-3=66, Resulting Numbers: [16, 66]
Generated Node #0,2,1: 50:[16, 66] Operation: 69-3=66
Exploring Operation: 69-16=53, Resulting Numbers: [3, 53]
Generated Node #0,2,2: 50:[3, 53] Operation: 69-16=53
Exploring Operation: 3*16=48, Resulting Numbers: [69, 48]
Generated Node #0,2,3: 50:[69, 48] Operation: 3*16=48
Exploring Operation: 69/3=23, Resulting Numbers: [16, 23]
Generated Node #0,2,4: 50:[16, 23] Operation: 69/3=23
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 50:[3, 53], Operations: ['99-83=16', '69-16=53']
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[83, 99, 69, 3], Operations: []
Exploring Operation: 99-83=16, Resulting Numbers: [69, 3, 16]
Generated Node #0,2: 50:[69, 3, 16] Operation: 99-83=16
Moving to Node #0,2
Current State: 50:[69, 3, 16], Operations: ['99-83=16']
Exploring Operation: 69-16=53, Resulting Numbers: [3, 53]
Generated Node #0,2,2: 50:[3, 53] Operation: 69-16=53
Moving to Node #0,2,2
Current State: 50:[3, 53], Operations: ['99-83=16', '69-16=53']
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
70,
43,
87,
33
] | 59 | [
"70+43=113",
"87-33=54",
"113-54=59"
] | Current State: 59:[70, 43, 87, 33], Operations: []
Exploring Operation: 70+43=113, Resulting Numbers: [87, 33, 113]
Generated Node #2: [87, 33, 113] from Operation: 70+43=113
Current State: 59:[87, 33, 113], Operations: ['70+43=113']
Exploring Operation: 87-33=54, Resulting Numbers: [113, 54]
Generated Node #3: [113, 54] from Operation: 87-33=54
Current State: 59:[113, 54], Operations: ['70+43=113', '87-33=54']
Exploring Operation: 113-54=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[70, 43, 87, 33], Operations: []
Exploring Operation: 87-33=54, Resulting Numbers: [70, 43, 54]
Generated Node #0,0: 59:[70, 43, 54] Operation: 87-33=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[70, 43, 54], Operations: ['87-33=54']
Exploring Operation: 70-43=27, Resulting Numbers: [54, 27]
Generated Node #0,0,0: 59:[54, 27] Operation: 70-43=27
Moving to Node #0,0,0
Current State: 59:[54, 27], Operations: ['87-33=54', '70-43=27']
Exploring Operation: 54+27=81, Resulting Numbers: [81]
81,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
8,
3,
34,
1
] | 31 | [
"8+1=9",
"9/3=3",
"34-3=31"
] | Current State: 31:[8, 3, 34, 1], Operations: []
Exploring Operation: 8+1=9, Resulting Numbers: [3, 34, 9]
Generated Node #2: [3, 34, 9] from Operation: 8+1=9
Current State: 31:[3, 34, 9], Operations: ['8+1=9']
Exploring Operation: 9/3=3, Resulting Numbers: [34, 3]
Generated Node #3: [34, 3] from Operation: 9/3=3
Current State: 31:[34, 3], Operations: ['8+1=9', '9/3=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[8, 3, 34, 1], Operations: []
Exploring Operation: 8+1=9, Resulting Numbers: [3, 34, 9]
Generated Node #0,0: 31:[3, 34, 9] Operation: 8+1=9
Exploring Operation: 8*3=24, Resulting Numbers: [34, 1, 24]
Generated Node #0,1: 31:[34, 1, 24] Operation: 8*3=24
Exploring Operation: 8+3=11, Resulting Numbers: [34, 1, 11]
Generated Node #0,2: 31:[34, 1, 11] Operation: 8+3=11
Exploring Operation: 34-3=31, Resulting Numbers: [8, 1, 31]
Generated Node #0,3: 31:[8, 1, 31] Operation: 34-3=31
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[34, 1, 24], Operations: ['8*3=24']
Exploring Operation: 34/1=34, Resulting Numbers: [24, 34]
Generated Node #0,1,0: 31:[24, 34] Operation: 34/1=34
Exploring Operation: 34-1=33, Resulting Numbers: [24, 33]
Generated Node #0,1,1: 31:[24, 33] Operation: 34-1=33
Exploring Operation: 1+24=25, Resulting Numbers: [34, 25]
Generated Node #0,1,2: 31:[34, 25] Operation: 1+24=25
Exploring Operation: 34*1=34, Resulting Numbers: [24, 34]
Generated Node #0,1,3: 31:[24, 34] Operation: 34*1=34
Moving to Node #0,1,1
Current State: 31:[24, 33], Operations: ['8*3=24', '34-1=33']
Exploring Operation: 24+33=57, Resulting Numbers: [57]
57,31 unequal: No Solution
Exploring Operation: 24*33=792, Resulting Numbers: [792]
792,31 unequal: No Solution
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,31 unequal: No Solution
Moving to Node #0,1,2
Current State: 31:[34, 25], Operations: ['8*3=24', '1+24=25']
Exploring Operation: 34*25=850, Resulting Numbers: [850]
850,31 unequal: No Solution
Exploring Operation: 34+25=59, Resulting Numbers: [59]
59,31 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,31 unequal: No Solution
Moving to Node #0,1,3
Current State: 31:[24, 34], Operations: ['8*3=24', '34*1=34']
Exploring Operation: 24+34=58, Resulting Numbers: [58]
58,31 unequal: No Solution
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,31 unequal: No Solution
Exploring Operation: 24*34=816, Resulting Numbers: [816]
816,31 unequal: No Solution
Moving to Node #0,1,0
Current State: 31:[24, 34], Operations: ['8*3=24', '34/1=34']
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,31 unequal: No Solution
Exploring Operation: 24*34=816, Resulting Numbers: [816]
816,31 unequal: No Solution
Exploring Operation: 24+34=58, Resulting Numbers: [58]
58,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[3, 34, 9], Operations: ['8+1=9']
Exploring Operation: 3+9=12, Resulting Numbers: [34, 12]
Generated Node #0,0,0: 31:[34, 12] Operation: 3+9=12
Exploring Operation: 3*9=27, Resulting Numbers: [34, 27]
Generated Node #0,0,1: 31:[34, 27] Operation: 3*9=27
Exploring Operation: 34-3=31, Resulting Numbers: [9, 31]
Generated Node #0,0,2: 31:[9, 31] Operation: 34-3=31
Exploring Operation: 3+34=37, Resulting Numbers: [9, 37]
Generated Node #0,0,3: 31:[9, 37] Operation: 3+34=37
Moving to Node #0,0,1
Current State: 31:[34, 27], Operations: ['8+1=9', '3*9=27']
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,31 unequal: No Solution
Exploring Operation: 34+27=61, Resulting Numbers: [61]
61,31 unequal: No Solution
Exploring Operation: 34*27=918, Resulting Numbers: [918]
918,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[9, 31], Operations: ['8+1=9', '34-3=31']
Exploring Operation: 9+31=40, Resulting Numbers: [40]
40,31 unequal: No Solution
Exploring Operation: 9*31=279, Resulting Numbers: [279]
279,31 unequal: No Solution
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Moving to Node #0,0,0
Current State: 31:[34, 12], Operations: ['8+1=9', '3+9=12']
Exploring Operation: 34*12=408, Resulting Numbers: [408]
408,31 unequal: No Solution
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Exploring Operation: 34+12=46, Resulting Numbers: [46]
46,31 unequal: No Solution
Moving to Node #0,0,3
Current State: 31:[9, 37], Operations: ['8+1=9', '3+34=37']
Exploring Operation: 9+37=46, Resulting Numbers: [46]
46,31 unequal: No Solution
Exploring Operation: 9*37=333, Resulting Numbers: [333]
333,31 unequal: No Solution
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[34, 1, 11], Operations: ['8+3=11']
Exploring Operation: 1+11=12, Resulting Numbers: [34, 12]
Generated Node #0,2,0: 31:[34, 12] Operation: 1+11=12
Exploring Operation: 34*1=34, Resulting Numbers: [11, 34]
Generated Node #0,2,1: 31:[11, 34] Operation: 34*1=34
Exploring Operation: 34/1=34, Resulting Numbers: [11, 34]
Generated Node #0,2,2: 31:[11, 34] Operation: 34/1=34
Exploring Operation: 34-1=33, Resulting Numbers: [11, 33]
Generated Node #0,2,3: 31:[11, 33] Operation: 34-1=33
Moving to Node #0,2,0
Current State: 31:[34, 12], Operations: ['8+3=11', '1+11=12']
Exploring Operation: 34+12=46, Resulting Numbers: [46]
46,31 unequal: No Solution
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Exploring Operation: 34*12=408, Resulting Numbers: [408]
408,31 unequal: No Solution
Moving to Node #0,2,3
Current State: 31:[11, 33], Operations: ['8+3=11', '34-1=33']
Exploring Operation: 11*33=363, Resulting Numbers: [363]
363,31 unequal: No Solution
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Exploring Operation: 11+33=44, Resulting Numbers: [44]
44,31 unequal: No Solution
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Moving to Node #0,2,2
Current State: 31:[11, 34], Operations: ['8+3=11', '34/1=34']
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,31 unequal: No Solution
Exploring Operation: 11*34=374, Resulting Numbers: [374]
374,31 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,31 unequal: No Solution
Moving to Node #0,2,1
Current State: 31:[11, 34], Operations: ['8+3=11', '34*1=34']
Exploring Operation: 11*34=374, Resulting Numbers: [374]
374,31 unequal: No Solution
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,31 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 31:[8, 1, 31], Operations: ['34-3=31']
Exploring Operation: 1*31=31, Resulting Numbers: [8, 31]
Generated Node #0,3,0: 31:[8, 31] Operation: 1*31=31
Exploring Operation: 8*1=8, Resulting Numbers: [31, 8]
Generated Node #0,3,1: 31:[31, 8] Operation: 8*1=8
Exploring Operation: 8/1=8, Resulting Numbers: [31, 8]
Generated Node #0,3,2: 31:[31, 8] Operation: 8/1=8
Exploring Operation: 8+1=9, Resulting Numbers: [31, 9]
Generated Node #0,3,3: 31:[31, 9] Operation: 8+1=9
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 31:[31, 9], Operations: ['34-3=31', '8+1=9']
Exploring Operation: 31*9=279, Resulting Numbers: [279]
279,31 unequal: No Solution
Exploring Operation: 31+9=40, Resulting Numbers: [40]
40,31 unequal: No Solution
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 31:[8, 31], Operations: ['34-3=31', '1*31=31']
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,31 unequal: No Solution
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,31 unequal: No Solution
Exploring Operation: 8*31=248, Resulting Numbers: [248]
248,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 31:[31, 8], Operations: ['34-3=31', '8*1=8']
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,31 unequal: No Solution
Exploring Operation: 31+8=39, Resulting Numbers: [39]
39,31 unequal: No Solution
Exploring Operation: 31*8=248, Resulting Numbers: [248]
248,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 31:[31, 8], Operations: ['34-3=31', '8/1=8']
Exploring Operation: 31+8=39, Resulting Numbers: [39]
39,31 unequal: No Solution
Exploring Operation: 31*8=248, Resulting Numbers: [248]
248,31 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
25,
72,
62,
48
] | 13 | [
"25+72=97",
"62+48=110",
"110-97=13"
] | Current State: 13:[25, 72, 62, 48], Operations: []
Exploring Operation: 25+72=97, Resulting Numbers: [62, 48, 97]
Generated Node #2: [62, 48, 97] from Operation: 25+72=97
Current State: 13:[62, 48, 97], Operations: ['25+72=97']
Exploring Operation: 62+48=110, Resulting Numbers: [97, 110]
Generated Node #3: [97, 110] from Operation: 62+48=110
Current State: 13:[97, 110], Operations: ['25+72=97', '62+48=110']
Exploring Operation: 110-97=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[25, 72, 62, 48], Operations: []
Exploring Operation: 72-48=24, Resulting Numbers: [25, 62, 24]
Generated Node #0,0: 13:[25, 62, 24] Operation: 72-48=24
Exploring Operation: 72-62=10, Resulting Numbers: [25, 48, 10]
Generated Node #0,1: 13:[25, 48, 10] Operation: 72-62=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[25, 48, 10], Operations: ['72-62=10']
Exploring Operation: 25-10=15, Resulting Numbers: [48, 15]
Generated Node #0,1,0: 13:[48, 15] Operation: 25-10=15
Exploring Operation: 48-25=23, Resulting Numbers: [10, 23]
Generated Node #0,1,1: 13:[10, 23] Operation: 48-25=23
Moving to Node #0,1,1
Current State: 13:[10, 23], Operations: ['72-62=10', '48-25=23']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[25, 72, 62, 48], Operations: []
Exploring Operation: 72-62=10, Resulting Numbers: [25, 48, 10]
Generated Node #0,1: 13:[25, 48, 10] Operation: 72-62=10
Moving to Node #0,1
Current State: 13:[25, 48, 10], Operations: ['72-62=10']
Exploring Operation: 48-25=23, Resulting Numbers: [10, 23]
Generated Node #0,1,1: 13:[10, 23] Operation: 48-25=23
Moving to Node #0,1,1
Current State: 13:[10, 23], Operations: ['72-62=10', '48-25=23']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
16,
35,
33,
15
] | 21 | [
"16+33=49",
"15*49=735",
"735/35=21"
] | Current State: 21:[16, 35, 33, 15], Operations: []
Exploring Operation: 16+33=49, Resulting Numbers: [35, 15, 49]
Generated Node #2: [35, 15, 49] from Operation: 16+33=49
Current State: 21:[35, 15, 49], Operations: ['16+33=49']
Exploring Operation: 15*49=735, Resulting Numbers: [35, 735]
Generated Node #3: [35, 735] from Operation: 15*49=735
Current State: 21:[35, 735], Operations: ['16+33=49', '15*49=735']
Exploring Operation: 735/35=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[16, 35, 33, 15], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [16, 15, 2]
Generated Node #0,0: 21:[16, 15, 2] Operation: 35-33=2
Exploring Operation: 35-15=20, Resulting Numbers: [16, 33, 20]
Generated Node #0,1: 21:[16, 33, 20] Operation: 35-15=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[16, 15, 2], Operations: ['35-33=2']
Exploring Operation: 16-15=1, Resulting Numbers: [2, 1]
Generated Node #0,0,0: 21:[2, 1] Operation: 16-15=1
Exploring Operation: 16/2=8, Resulting Numbers: [15, 8]
Generated Node #0,0,1: 21:[15, 8] Operation: 16/2=8
Moving to Node #0,0,0
Current State: 21:[2, 1], Operations: ['35-33=2', '16-15=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,21 unequal: No Solution
Moving to Node #0,0,1
Current State: 21:[15, 8], Operations: ['35-33=2', '16/2=8']
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,21 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[16, 33, 20], Operations: ['35-15=20']
Exploring Operation: 33-20=13, Resulting Numbers: [16, 13]
Generated Node #0,1,0: 21:[16, 13] Operation: 33-20=13
Exploring Operation: 33-16=17, Resulting Numbers: [20, 17]
Generated Node #0,1,1: 21:[20, 17] Operation: 33-16=17
Moving to Node #0,1,1
Current State: 21:[20, 17], Operations: ['35-15=20', '33-16=17']
Exploring Operation: 20+17=37, Resulting Numbers: [37]
37,21 unequal: No Solution
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,21 unequal: No Solution
Moving to Node #0,1,0
Current State: 21:[16, 13], Operations: ['35-15=20', '33-20=13']
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,21 unequal: No Solution
Exploring Operation: 16+13=29, Resulting Numbers: [29]
29,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
72,
74,
52,
23
] | 98 | [
"74-72=2",
"23*2=46",
"52+46=98"
] | Current State: 98:[72, 74, 52, 23], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [52, 23, 2]
Generated Node #2: [52, 23, 2] from Operation: 74-72=2
Current State: 98:[52, 23, 2], Operations: ['74-72=2']
Exploring Operation: 23*2=46, Resulting Numbers: [52, 46]
Generated Node #3: [52, 46] from Operation: 23*2=46
Current State: 98:[52, 46], Operations: ['74-72=2', '23*2=46']
Exploring Operation: 52+46=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[72, 74, 52, 23], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [52, 23, 2]
Generated Node #0,0: 98:[52, 23, 2] Operation: 74-72=2
Exploring Operation: 72-23=49, Resulting Numbers: [74, 52, 49]
Generated Node #0,1: 98:[74, 52, 49] Operation: 72-23=49
Exploring Operation: 74+23=97, Resulting Numbers: [72, 52, 97]
Generated Node #0,2: 98:[72, 52, 97] Operation: 74+23=97
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[52, 23, 2], Operations: ['74-72=2']
Exploring Operation: 52-2=50, Resulting Numbers: [23, 50]
Generated Node #0,0,0: 98:[23, 50] Operation: 52-2=50
Exploring Operation: 23-2=21, Resulting Numbers: [52, 21]
Generated Node #0,0,1: 98:[52, 21] Operation: 23-2=21
Exploring Operation: 23*2=46, Resulting Numbers: [52, 46]
Generated Node #0,0,2: 98:[52, 46] Operation: 23*2=46
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 98:[52, 46], Operations: ['74-72=2', '23*2=46']
Exploring Operation: 52*46=2392, Resulting Numbers: [2392]
2392,98 unequal: No Solution
Exploring Operation: 52+46=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[72, 74, 52, 23], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [52, 23, 2]
Generated Node #0,0: 98:[52, 23, 2] Operation: 74-72=2
Moving to Node #0,0
Current State: 98:[52, 23, 2], Operations: ['74-72=2']
Exploring Operation: 23*2=46, Resulting Numbers: [52, 46]
Generated Node #0,0,2: 98:[52, 46] Operation: 23*2=46
Moving to Node #0,0,2
Current State: 98:[52, 46], Operations: ['74-72=2', '23*2=46']
Exploring Operation: 52+46=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
9,
58,
84,
98
] | 42 | [
"58-9=49",
"84*49=4116",
"4116/98=42"
] | Current State: 42:[9, 58, 84, 98], Operations: []
Exploring Operation: 58-9=49, Resulting Numbers: [84, 98, 49]
Generated Node #2: [84, 98, 49] from Operation: 58-9=49
Current State: 42:[84, 98, 49], Operations: ['58-9=49']
Exploring Operation: 84*49=4116, Resulting Numbers: [98, 4116]
Generated Node #3: [98, 4116] from Operation: 84*49=4116
Current State: 42:[98, 4116], Operations: ['58-9=49', '84*49=4116']
Exploring Operation: 4116/98=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[9, 58, 84, 98], Operations: []
Exploring Operation: 84-58=26, Resulting Numbers: [9, 98, 26]
Generated Node #0,0: 42:[9, 98, 26] Operation: 84-58=26
Exploring Operation: 98-58=40, Resulting Numbers: [9, 84, 40]
Generated Node #0,1: 42:[9, 84, 40] Operation: 98-58=40
Exploring Operation: 98-84=14, Resulting Numbers: [9, 58, 14]
Generated Node #0,2: 42:[9, 58, 14] Operation: 98-84=14
Moving to Node #0,2
Current State: 42:[9, 58, 14], Operations: ['98-84=14']
Exploring Operation: 58-9=49, Resulting Numbers: [14, 49]
Generated Node #0,2,0: 42:[14, 49] Operation: 58-9=49
Exploring Operation: 14-9=5, Resulting Numbers: [58, 5]
Generated Node #0,2,1: 42:[58, 5] Operation: 14-9=5
Exploring Operation: 58-14=44, Resulting Numbers: [9, 44]
Generated Node #0,2,2: 42:[9, 44] Operation: 58-14=44
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 42:[9, 44], Operations: ['98-84=14', '58-14=44']
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,42 unequal: No Solution
Exploring Operation: 9*44=396, Resulting Numbers: [396]
396,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 42:[14, 49], Operations: ['98-84=14', '58-9=49']
Exploring Operation: 14*49=686, Resulting Numbers: [686]
686,42 unequal: No Solution
Exploring Operation: 14+49=63, Resulting Numbers: [63]
63,42 unequal: No Solution
Exploring Operation: 49-14=35, Resulting Numbers: [35]
35,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 42:[58, 5], Operations: ['98-84=14', '14-9=5']
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,42 unequal: No Solution
Exploring Operation: 58+5=63, Resulting Numbers: [63]
63,42 unequal: No Solution
Exploring Operation: 58*5=290, Resulting Numbers: [290]
290,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 42:[9, 84, 40], Operations: ['98-58=40']
Exploring Operation: 84-9=75, Resulting Numbers: [40, 75]
Generated Node #0,1,0: 42:[40, 75] Operation: 84-9=75
Exploring Operation: 9+40=49, Resulting Numbers: [84, 49]
Generated Node #0,1,1: 42:[84, 49] Operation: 9+40=49
Exploring Operation: 84-40=44, Resulting Numbers: [9, 44]
Generated Node #0,1,2: 42:[9, 44] Operation: 84-40=44
Moving to Node #0,0
Current State: 42:[9, 98, 26], Operations: ['84-58=26']
Exploring Operation: 98-9=89, Resulting Numbers: [26, 89]
Generated Node #0,0,0: 42:[26, 89] Operation: 98-9=89
Exploring Operation: 98-26=72, Resulting Numbers: [9, 72]
Generated Node #0,0,1: 42:[9, 72] Operation: 98-26=72
Exploring Operation: 26-9=17, Resulting Numbers: [98, 17]
Generated Node #0,0,2: 42:[98, 17] Operation: 26-9=17
Moving to Node #0,1,2
Current State: 42:[9, 44], Operations: ['98-58=40', '84-40=44']
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,42 unequal: No Solution
Exploring Operation: 9*44=396, Resulting Numbers: [396]
396,42 unequal: No Solution
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Moving to Node #0,0,1
Current State: 42:[9, 72], Operations: ['84-58=26', '98-26=72']
Exploring Operation: 9+72=81, Resulting Numbers: [81]
81,42 unequal: No Solution
Exploring Operation: 72/9=8, Resulting Numbers: [8]
8,42 unequal: No Solution
Exploring Operation: 72-9=63, Resulting Numbers: [63]
63,42 unequal: No Solution
Moving to Node #0,1,0
Current State: 42:[40, 75], Operations: ['98-58=40', '84-9=75']
Exploring Operation: 40+75=115, Resulting Numbers: [115]
115,42 unequal: No Solution
Exploring Operation: 40*75=3000, Resulting Numbers: [3000]
3000,42 unequal: No Solution
Exploring Operation: 75-40=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Moving to Node #0,1,1
Current State: 42:[84, 49], Operations: ['98-58=40', '9+40=49']
Exploring Operation: 84*49=4116, Resulting Numbers: [4116]
4116,42 unequal: No Solution
Exploring Operation: 84+49=133, Resulting Numbers: [133]
133,42 unequal: No Solution
Exploring Operation: 84-49=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Moving to Node #0,0,0
Current State: 42:[26, 89], Operations: ['84-58=26', '98-9=89']
Exploring Operation: 26+89=115, Resulting Numbers: [115]
115,42 unequal: No Solution
Exploring Operation: 26*89=2314, Resulting Numbers: [2314]
2314,42 unequal: No Solution
Exploring Operation: 89-26=63, Resulting Numbers: [63]
63,42 unequal: No Solution
Moving to Node #0,0,2
Current State: 42:[98, 17], Operations: ['84-58=26', '26-9=17']
Exploring Operation: 98*17=1666, Resulting Numbers: [1666]
1666,42 unequal: No Solution
Exploring Operation: 98-17=81, Resulting Numbers: [81]
81,42 unequal: No Solution
Exploring Operation: 98+17=115, Resulting Numbers: [115]
115,42 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
48,
66,
28,
14
] | 60 | [
"66-48=18",
"28+14=42",
"18+42=60"
] | Current State: 60:[48, 66, 28, 14], Operations: []
Exploring Operation: 66-48=18, Resulting Numbers: [28, 14, 18]
Generated Node #2: [28, 14, 18] from Operation: 66-48=18
Current State: 60:[28, 14, 18], Operations: ['66-48=18']
Exploring Operation: 28+14=42, Resulting Numbers: [18, 42]
Generated Node #3: [18, 42] from Operation: 28+14=42
Current State: 60:[18, 42], Operations: ['66-48=18', '28+14=42']
Exploring Operation: 18+42=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[48, 66, 28, 14], Operations: []
Exploring Operation: 48-28=20, Resulting Numbers: [66, 14, 20]
Generated Node #0,0: 60:[66, 14, 20] Operation: 48-28=20
Exploring Operation: 28/14=2, Resulting Numbers: [48, 66, 2]
Generated Node #0,1: 60:[48, 66, 2] Operation: 28/14=2
Exploring Operation: 48-14=34, Resulting Numbers: [66, 28, 34]
Generated Node #0,2: 60:[66, 28, 34] Operation: 48-14=34
Exploring Operation: 48+14=62, Resulting Numbers: [66, 28, 62]
Generated Node #0,3: 60:[66, 28, 62] Operation: 48+14=62
Exploring Operation: 66-48=18, Resulting Numbers: [28, 14, 18]
Generated Node #0,4: 60:[28, 14, 18] Operation: 66-48=18
Moving to Node #0,4
Current State: 60:[28, 14, 18], Operations: ['66-48=18']
Exploring Operation: 28-14=14, Resulting Numbers: [18, 14]
Generated Node #0,4,0: 60:[18, 14] Operation: 28-14=14
Exploring Operation: 28/14=2, Resulting Numbers: [18, 2]
Generated Node #0,4,1: 60:[18, 2] Operation: 28/14=2
Exploring Operation: 14+18=32, Resulting Numbers: [28, 32]
Generated Node #0,4,2: 60:[28, 32] Operation: 14+18=32
Exploring Operation: 18-14=4, Resulting Numbers: [28, 4]
Generated Node #0,4,3: 60:[28, 4] Operation: 18-14=4
Exploring Operation: 28-18=10, Resulting Numbers: [14, 10]
Generated Node #0,4,4: 60:[14, 10] Operation: 28-18=10
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 60:[14, 10], Operations: ['66-48=18', '28-18=10']
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 14*10=140, Resulting Numbers: [140]
140,60 unequal: No Solution
Exploring Operation: 14+10=24, Resulting Numbers: [24]
24,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 60:[18, 2], Operations: ['66-48=18', '28/14=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 60:[28, 4], Operations: ['66-48=18', '18-14=4']
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,60 unequal: No Solution
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,60 unequal: No Solution
Exploring Operation: 28*4=112, Resulting Numbers: [112]
112,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 60:[18, 14], Operations: ['66-48=18', '28-14=14']
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 18*14=252, Resulting Numbers: [252]
252,60 unequal: No Solution
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 60:[28, 32], Operations: ['66-48=18', '14+18=32']
Exploring Operation: 28+32=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[48, 66, 28, 14], Operations: []
Exploring Operation: 66-48=18, Resulting Numbers: [28, 14, 18]
Generated Node #0,4: 60:[28, 14, 18] Operation: 66-48=18
Moving to Node #0,4
Current State: 60:[28, 14, 18], Operations: ['66-48=18']
Exploring Operation: 14+18=32, Resulting Numbers: [28, 32]
Generated Node #0,4,2: 60:[28, 32] Operation: 14+18=32
Moving to Node #0,4,2
Current State: 60:[28, 32], Operations: ['66-48=18', '14+18=32']
Exploring Operation: 28+32=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_5 | mult_heuristic |
[
10,
90,
92,
33
] | 53 | [
"92-90=2",
"10*2=20",
"33+20=53"
] | Current State: 53:[10, 90, 92, 33], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [10, 33, 2]
Generated Node #2: [10, 33, 2] from Operation: 92-90=2
Current State: 53:[10, 33, 2], Operations: ['92-90=2']
Exploring Operation: 10*2=20, Resulting Numbers: [33, 20]
Generated Node #3: [33, 20] from Operation: 10*2=20
Current State: 53:[33, 20], Operations: ['92-90=2', '10*2=20']
Exploring Operation: 33+20=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[10, 90, 92, 33], Operations: []
Exploring Operation: 92-10=82, Resulting Numbers: [90, 33, 82]
Generated Node #0,0: 53:[90, 33, 82] Operation: 92-10=82
Exploring Operation: 90-10=80, Resulting Numbers: [92, 33, 80]
Generated Node #0,1: 53:[92, 33, 80] Operation: 90-10=80
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[90, 33, 82], Operations: ['92-10=82']
Exploring Operation: 90-33=57, Resulting Numbers: [82, 57]
Generated Node #0,0,0: 53:[82, 57] Operation: 90-33=57
Exploring Operation: 82-33=49, Resulting Numbers: [90, 49]
Generated Node #0,0,1: 53:[90, 49] Operation: 82-33=49
Moving to Node #0,0,0
Current State: 53:[82, 57], Operations: ['92-10=82', '90-33=57']
Exploring Operation: 82-57=25, Resulting Numbers: [25]
25,53 unequal: No Solution
Exploring Operation: 82+57=139, Resulting Numbers: [139]
139,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[90, 49], Operations: ['92-10=82', '82-33=49']
Exploring Operation: 90+49=139, Resulting Numbers: [139]
139,53 unequal: No Solution
Exploring Operation: 90-49=41, Resulting Numbers: [41]
41,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[92, 33, 80], Operations: ['90-10=80']
Exploring Operation: 80-33=47, Resulting Numbers: [92, 47]
Generated Node #0,1,0: 53:[92, 47] Operation: 80-33=47
Exploring Operation: 92-33=59, Resulting Numbers: [80, 59]
Generated Node #0,1,1: 53:[80, 59] Operation: 92-33=59
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 53:[80, 59], Operations: ['90-10=80', '92-33=59']
Exploring Operation: 80+59=139, Resulting Numbers: [139]
139,53 unequal: No Solution
Exploring Operation: 80-59=21, Resulting Numbers: [21]
21,53 unequal: No Solution
No 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: 53:[92, 47], Operations: ['90-10=80', '80-33=47']
Exploring Operation: 92+47=139, Resulting Numbers: [139]
139,53 unequal: No Solution
Exploring Operation: 92-47=45, Resulting Numbers: [45]
45,53 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 |
[
27,
27,
86,
23
] | 23 | [
"27-27=0",
"86*0=0",
"23+0=23"
] | Current State: 23:[27, 27, 86, 23], Operations: []
Exploring Operation: 27-27=0, Resulting Numbers: [86, 23, 0]
Generated Node #2: [86, 23, 0] from Operation: 27-27=0
Current State: 23:[86, 23, 0], Operations: ['27-27=0']
Exploring Operation: 86*0=0, Resulting Numbers: [23, 0]
Generated Node #3: [23, 0] from Operation: 86*0=0
Current State: 23:[23, 0], Operations: ['27-27=0', '86*0=0']
Exploring Operation: 23+0=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[27, 27, 86, 23], Operations: []
Exploring Operation: 86-23=63, Resulting Numbers: [27, 27, 63]
Generated Node #0,0: 23:[27, 27, 63] Operation: 86-23=63
Exploring Operation: 27-27=0, Resulting Numbers: [86, 23, 0]
Generated Node #0,1: 23:[86, 23, 0] Operation: 27-27=0
Exploring Operation: 86-27=59, Resulting Numbers: [27, 23, 59]
Generated Node #0,2: 23:[27, 23, 59] Operation: 86-27=59
Exploring Operation: 27/27=1, Resulting Numbers: [86, 23, 1]
Generated Node #0,3: 23:[86, 23, 1] Operation: 27/27=1
Exploring Operation: 86-27=59, Resulting Numbers: [27, 23, 59]
Generated Node #0,4: 23:[27, 23, 59] Operation: 86-27=59
Moving to Node #0,2
Current State: 23:[27, 23, 59], Operations: ['86-27=59']
Exploring Operation: 27+23=50, Resulting Numbers: [59, 50]
Generated Node #0,2,0: 23:[59, 50] Operation: 27+23=50
Exploring Operation: 27-23=4, Resulting Numbers: [59, 4]
Generated Node #0,2,1: 23:[59, 4] Operation: 27-23=4
Exploring Operation: 27+59=86, Resulting Numbers: [23, 86]
Generated Node #0,2,2: 23:[23, 86] Operation: 27+59=86
Exploring Operation: 59-27=32, Resulting Numbers: [23, 32]
Generated Node #0,2,3: 23:[23, 32] Operation: 59-27=32
Exploring Operation: 59-23=36, Resulting Numbers: [27, 36]
Generated Node #0,2,4: 23:[27, 36] Operation: 59-23=36
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 23:[23, 32], Operations: ['86-27=59', '59-27=32']
Exploring Operation: 23*32=736, Resulting Numbers: [736]
736,23 unequal: No Solution
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 23+32=55, Resulting Numbers: [55]
55,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 23:[27, 36], Operations: ['86-27=59', '59-23=36']
Exploring Operation: 27*36=972, Resulting Numbers: [972]
972,23 unequal: No Solution
Exploring Operation: 27+36=63, Resulting Numbers: [63]
63,23 unequal: No Solution
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 23:[59, 4], Operations: ['86-27=59', '27-23=4']
Exploring Operation: 59*4=236, Resulting Numbers: [236]
236,23 unequal: No Solution
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,23 unequal: No Solution
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 23:[59, 50], Operations: ['86-27=59', '27+23=50']
Exploring Operation: 59-50=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 59*50=2950, Resulting Numbers: [2950]
2950,23 unequal: No Solution
Exploring Operation: 59+50=109, Resulting Numbers: [109]
109,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 23:[23, 86], Operations: ['86-27=59', '27+59=86']
Exploring Operation: 23+86=109, Resulting Numbers: [109]
109,23 unequal: No Solution
Exploring Operation: 23*86=1978, Resulting Numbers: [1978]
1978,23 unequal: No Solution
Exploring Operation: 86-23=63, Resulting Numbers: [63]
63,23 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: 23:[27, 23, 59], Operations: ['86-27=59']
Exploring Operation: 27+59=86, Resulting Numbers: [23, 86]
Generated Node #0,4,0: 23:[23, 86] Operation: 27+59=86
Exploring Operation: 59-23=36, Resulting Numbers: [27, 36]
Generated Node #0,4,1: 23:[27, 36] Operation: 59-23=36
Exploring Operation: 27+23=50, Resulting Numbers: [59, 50]
Generated Node #0,4,2: 23:[59, 50] Operation: 27+23=50
Exploring Operation: 27-23=4, Resulting Numbers: [59, 4]
Generated Node #0,4,3: 23:[59, 4] Operation: 27-23=4
Exploring Operation: 59-27=32, Resulting Numbers: [23, 32]
Generated Node #0,4,4: 23:[23, 32] Operation: 59-27=32
Moving to Node #0,0
Current State: 23:[27, 27, 63], Operations: ['86-23=63']
Exploring Operation: 63-27=36, Resulting Numbers: [27, 36]
Generated Node #0,0,0: 23:[27, 36] Operation: 63-27=36
Exploring Operation: 27+27=54, Resulting Numbers: [63, 54]
Generated Node #0,0,1: 23:[63, 54] Operation: 27+27=54
Exploring Operation: 27/27=1, Resulting Numbers: [63, 1]
Generated Node #0,0,2: 23:[63, 1] Operation: 27/27=1
Exploring Operation: 63-27=36, Resulting Numbers: [27, 36]
Generated Node #0,0,3: 23:[27, 36] Operation: 63-27=36
Exploring Operation: 27-27=0, Resulting Numbers: [63, 0]
Generated Node #0,0,4: 23:[63, 0] Operation: 27-27=0
Moving to Node #0,3
Current State: 23:[86, 23, 1], Operations: ['27/27=1']
Exploring Operation: 86-1=85, Resulting Numbers: [23, 85]
Generated Node #0,3,0: 23:[23, 85] Operation: 86-1=85
Exploring Operation: 86*1=86, Resulting Numbers: [23, 86]
Generated Node #0,3,1: 23:[23, 86] Operation: 86*1=86
Exploring Operation: 23*1=23, Resulting Numbers: [86, 23]
Generated Node #0,3,2: 23:[86, 23] Operation: 23*1=23
Exploring Operation: 86-23=63, Resulting Numbers: [1, 63]
Generated Node #0,3,3: 23:[1, 63] Operation: 86-23=63
Exploring Operation: 86/1=86, Resulting Numbers: [23, 86]
Generated Node #0,3,4: 23:[23, 86] Operation: 86/1=86
Moving to Node #0,1
Current State: 23:[86, 23, 0], Operations: ['27-27=0']
Exploring Operation: 86*0=0, Resulting Numbers: [23, 0]
Generated Node #0,1,0: 23:[23, 0] Operation: 86*0=0
Exploring Operation: 86-0=86, Resulting Numbers: [23, 86]
Generated Node #0,1,1: 23:[23, 86] Operation: 86-0=86
Exploring Operation: 86-23=63, Resulting Numbers: [0, 63]
Generated Node #0,1,2: 23:[0, 63] Operation: 86-23=63
Exploring Operation: 86+0=86, Resulting Numbers: [23, 86]
Generated Node #0,1,3: 23:[23, 86] Operation: 86+0=86
Exploring Operation: 23+0=23, Resulting Numbers: [86, 23]
Generated Node #0,1,4: 23:[86, 23] Operation: 23+0=23
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 23:[23, 0], Operations: ['27-27=0', '86*0=0']
Exploring Operation: 23*0=0, Resulting Numbers: [0]
0,23 unequal: No Solution
Exploring Operation: 23-0=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[27, 27, 86, 23], Operations: []
Exploring Operation: 27-27=0, Resulting Numbers: [86, 23, 0]
Generated Node #0,1: 23:[86, 23, 0] Operation: 27-27=0
Moving to Node #0,1
Current State: 23:[86, 23, 0], Operations: ['27-27=0']
Exploring Operation: 86*0=0, Resulting Numbers: [23, 0]
Generated Node #0,1,0: 23:[23, 0] Operation: 86*0=0
Moving to Node #0,1,0
Current State: 23:[23, 0], Operations: ['27-27=0', '86*0=0']
Exploring Operation: 23-0=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.955729 | hs_5 | sum_heuristic |
[
28,
78,
47,
35
] | 32 | [
"78-28=50",
"47+35=82",
"82-50=32"
] | Current State: 32:[28, 78, 47, 35], Operations: []
Exploring Operation: 78-28=50, Resulting Numbers: [47, 35, 50]
Generated Node #2: [47, 35, 50] from Operation: 78-28=50
Current State: 32:[47, 35, 50], Operations: ['78-28=50']
Exploring Operation: 47+35=82, Resulting Numbers: [50, 82]
Generated Node #3: [50, 82] from Operation: 47+35=82
Current State: 32:[50, 82], Operations: ['78-28=50', '47+35=82']
Exploring Operation: 82-50=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[28, 78, 47, 35], Operations: []
Exploring Operation: 78-35=43, Resulting Numbers: [28, 47, 43]
Generated Node #0,0: 32:[28, 47, 43] Operation: 78-35=43
Exploring Operation: 78-47=31, Resulting Numbers: [28, 35, 31]
Generated Node #0,1: 32:[28, 35, 31] Operation: 78-47=31
Exploring Operation: 78-28=50, Resulting Numbers: [47, 35, 50]
Generated Node #0,2: 32:[47, 35, 50] Operation: 78-28=50
Moving to Node #0,1
Current State: 32:[28, 35, 31], Operations: ['78-47=31']
Exploring Operation: 35-31=4, Resulting Numbers: [28, 4]
Generated Node #0,1,0: 32:[28, 4] Operation: 35-31=4
Exploring Operation: 31-28=3, Resulting Numbers: [35, 3]
Generated Node #0,1,1: 32:[35, 3] Operation: 31-28=3
Exploring Operation: 35-28=7, Resulting Numbers: [31, 7]
Generated Node #0,1,2: 32:[31, 7] Operation: 35-28=7
Moving to Node #0,0
Current State: 32:[28, 47, 43], Operations: ['78-35=43']
Exploring Operation: 47-43=4, Resulting Numbers: [28, 4]
Generated Node #0,0,0: 32:[28, 4] Operation: 47-43=4
Exploring Operation: 47-28=19, Resulting Numbers: [43, 19]
Generated Node #0,0,1: 32:[43, 19] Operation: 47-28=19
Exploring Operation: 43-28=15, Resulting Numbers: [47, 15]
Generated Node #0,0,2: 32:[47, 15] Operation: 43-28=15
Moving to Node #0,2
Current State: 32:[47, 35, 50], Operations: ['78-28=50']
Exploring Operation: 50-47=3, Resulting Numbers: [35, 3]
Generated Node #0,2,0: 32:[35, 3] Operation: 50-47=3
Exploring Operation: 50-35=15, Resulting Numbers: [47, 15]
Generated Node #0,2,1: 32:[47, 15] Operation: 50-35=15
Exploring Operation: 47-35=12, Resulting Numbers: [50, 12]
Generated Node #0,2,2: 32:[50, 12] Operation: 47-35=12
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 32:[35, 3], Operations: ['78-28=50', '50-47=3']
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,32 unequal: No Solution
Exploring Operation: 35*3=105, Resulting Numbers: [105]
105,32 unequal: No Solution
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[28, 78, 47, 35], Operations: []
Exploring Operation: 78-28=50, Resulting Numbers: [47, 35, 50]
Generated Node #0,2: 32:[47, 35, 50] Operation: 78-28=50
Moving to Node #0,2
Current State: 32:[47, 35, 50], Operations: ['78-28=50']
Exploring Operation: 50-47=3, Resulting Numbers: [35, 3]
Generated Node #0,2,0: 32:[35, 3] Operation: 50-47=3
Moving to Node #0,2,0
Current State: 32:[35, 3], Operations: ['78-28=50', '50-47=3']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
77,
16,
88,
99
] | 25 | [
"88-77=11",
"99/11=9",
"16+9=25"
] | Current State: 25:[77, 16, 88, 99], Operations: []
Exploring Operation: 88-77=11, Resulting Numbers: [16, 99, 11]
Generated Node #2: [16, 99, 11] from Operation: 88-77=11
Current State: 25:[16, 99, 11], Operations: ['88-77=11']
Exploring Operation: 99/11=9, Resulting Numbers: [16, 9]
Generated Node #3: [16, 9] from Operation: 99/11=9
Current State: 25:[16, 9], Operations: ['88-77=11', '99/11=9']
Exploring Operation: 16+9=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[77, 16, 88, 99], Operations: []
Exploring Operation: 99-88=11, Resulting Numbers: [77, 16, 11]
Generated Node #0,0: 25:[77, 16, 11] Operation: 99-88=11
Exploring Operation: 99-77=22, Resulting Numbers: [16, 88, 22]
Generated Node #0,1: 25:[16, 88, 22] Operation: 99-77=22
Moving to Node #0,0
Current State: 25:[77, 16, 11], Operations: ['99-88=11']
Exploring Operation: 77-16=61, Resulting Numbers: [11, 61]
Generated Node #0,0,0: 25:[11, 61] Operation: 77-16=61
Exploring Operation: 77/11=7, Resulting Numbers: [16, 7]
Generated Node #0,0,1: 25:[16, 7] Operation: 77/11=7
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 25:[16, 7], Operations: ['99-88=11', '77/11=7']
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,25 unequal: No Solution
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,25 unequal: No Solution
No 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: 25:[11, 61], Operations: ['99-88=11', '77-16=61']
Exploring Operation: 61-11=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Exploring Operation: 11+61=72, Resulting Numbers: [72]
72,25 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: 25:[16, 88, 22], Operations: ['99-77=22']
Exploring Operation: 88-16=72, Resulting Numbers: [22, 72]
Generated Node #0,1,0: 25:[22, 72] Operation: 88-16=72
Exploring Operation: 88/22=4, Resulting Numbers: [16, 4]
Generated Node #0,1,1: 25:[16, 4] Operation: 88/22=4
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 25:[16, 4], Operations: ['99-77=22', '88/22=4']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,25 unequal: No Solution
No 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: 25:[22, 72], Operations: ['99-77=22', '88-16=72']
Exploring Operation: 22+72=94, Resulting Numbers: [94]
94,25 unequal: No Solution
Exploring Operation: 72-22=50, Resulting Numbers: [50]
50,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
89,
19,
9,
35
] | 82 | [
"89+19=108",
"35-9=26",
"108-26=82"
] | Current State: 82:[89, 19, 9, 35], Operations: []
Exploring Operation: 89+19=108, Resulting Numbers: [9, 35, 108]
Generated Node #2: [9, 35, 108] from Operation: 89+19=108
Current State: 82:[9, 35, 108], Operations: ['89+19=108']
Exploring Operation: 35-9=26, Resulting Numbers: [108, 26]
Generated Node #3: [108, 26] from Operation: 35-9=26
Current State: 82:[108, 26], Operations: ['89+19=108', '35-9=26']
Exploring Operation: 108-26=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[89, 19, 9, 35], Operations: []
Exploring Operation: 19-9=10, Resulting Numbers: [89, 35, 10]
Generated Node #0,0: 82:[89, 35, 10] Operation: 19-9=10
Moving to Node #0,0
Current State: 82:[89, 35, 10], Operations: ['19-9=10']
Exploring Operation: 89-10=79, Resulting Numbers: [35, 79]
Generated Node #0,0,0: 82:[35, 79] Operation: 89-10=79
Moving to Node #0,0,0
Current State: 82:[35, 79], Operations: ['19-9=10', '89-10=79']
Exploring Operation: 79-35=44, Resulting Numbers: [44]
44,82 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
27,
3,
49,
48
] | 84 | [
"27+49=76",
"76-48=28",
"3*28=84"
] | Current State: 84:[27, 3, 49, 48], Operations: []
Exploring Operation: 27+49=76, Resulting Numbers: [3, 48, 76]
Generated Node #2: [3, 48, 76] from Operation: 27+49=76
Current State: 84:[3, 48, 76], Operations: ['27+49=76']
Exploring Operation: 76-48=28, Resulting Numbers: [3, 28]
Generated Node #3: [3, 28] from Operation: 76-48=28
Current State: 84:[3, 28], Operations: ['27+49=76', '76-48=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[27, 3, 49, 48], Operations: []
Exploring Operation: 49-27=22, Resulting Numbers: [3, 48, 22]
Generated Node #0,0: 84:[3, 48, 22] Operation: 49-27=22
Exploring Operation: 48/3=16, Resulting Numbers: [27, 49, 16]
Generated Node #0,1: 84:[27, 49, 16] Operation: 48/3=16
Exploring Operation: 49-48=1, Resulting Numbers: [27, 3, 1]
Generated Node #0,2: 84:[27, 3, 1] Operation: 49-48=1
Exploring Operation: 48-27=21, Resulting Numbers: [3, 49, 21]
Generated Node #0,3: 84:[3, 49, 21] Operation: 48-27=21
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[27, 3, 1], Operations: ['49-48=1']
Exploring Operation: 27*1=27, Resulting Numbers: [3, 27]
Generated Node #0,2,0: 84:[3, 27] Operation: 27*1=27
Exploring Operation: 3+1=4, Resulting Numbers: [27, 4]
Generated Node #0,2,1: 84:[27, 4] Operation: 3+1=4
Exploring Operation: 27/1=27, Resulting Numbers: [3, 27]
Generated Node #0,2,2: 84:[3, 27] Operation: 27/1=27
Exploring Operation: 27+1=28, Resulting Numbers: [3, 28]
Generated Node #0,2,3: 84:[3, 28] Operation: 27+1=28
Moving to Node #0,2,3
Current State: 84:[3, 28], Operations: ['49-48=1', '27+1=28']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,84 unequal: No Solution
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,84 unequal: No Solution
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[27, 3, 49, 48], Operations: []
Exploring Operation: 49-48=1, Resulting Numbers: [27, 3, 1]
Generated Node #0,2: 84:[27, 3, 1] Operation: 49-48=1
Moving to Node #0,2
Current State: 84:[27, 3, 1], Operations: ['49-48=1']
Exploring Operation: 27+1=28, Resulting Numbers: [3, 28]
Generated Node #0,2,3: 84:[3, 28] Operation: 27+1=28
Moving to Node #0,2,3
Current State: 84:[3, 28], Operations: ['49-48=1', '27+1=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
67,
98,
41,
44
] | 34 | [
"98-67=31",
"44-41=3",
"31+3=34"
] | Current State: 34:[67, 98, 41, 44], Operations: []
Exploring Operation: 98-67=31, Resulting Numbers: [41, 44, 31]
Generated Node #2: [41, 44, 31] from Operation: 98-67=31
Current State: 34:[41, 44, 31], Operations: ['98-67=31']
Exploring Operation: 44-41=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 44-41=3
Current State: 34:[31, 3], Operations: ['98-67=31', '44-41=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[67, 98, 41, 44], Operations: []
Exploring Operation: 98-67=31, Resulting Numbers: [41, 44, 31]
Generated Node #0,0: 34:[41, 44, 31] Operation: 98-67=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[41, 44, 31], Operations: ['98-67=31']
Exploring Operation: 44-41=3, Resulting Numbers: [31, 3]
Generated Node #0,0,0: 34:[31, 3] Operation: 44-41=3
Moving to Node #0,0,0
Current State: 34:[31, 3], Operations: ['98-67=31', '44-41=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[67, 98, 41, 44], Operations: []
Exploring Operation: 98-67=31, Resulting Numbers: [41, 44, 31]
Generated Node #0,0: 34:[41, 44, 31] Operation: 98-67=31
Moving to Node #0,0
Current State: 34:[41, 44, 31], Operations: ['98-67=31']
Exploring Operation: 44-41=3, Resulting Numbers: [31, 3]
Generated Node #0,0,0: 34:[31, 3] Operation: 44-41=3
Moving to Node #0,0,0
Current State: 34:[31, 3], Operations: ['98-67=31', '44-41=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
16,
95,
29,
33
] | 18 | [
"95-29=66",
"66/33=2",
"16+2=18"
] | Current State: 18:[16, 95, 29, 33], Operations: []
Exploring Operation: 95-29=66, Resulting Numbers: [16, 33, 66]
Generated Node #2: [16, 33, 66] from Operation: 95-29=66
Current State: 18:[16, 33, 66], Operations: ['95-29=66']
Exploring Operation: 66/33=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 66/33=2
Current State: 18:[16, 2], Operations: ['95-29=66', '66/33=2']
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[16, 95, 29, 33], Operations: []
Exploring Operation: 33-29=4, Resulting Numbers: [16, 95, 4]
Generated Node #0,0: 18:[16, 95, 4] Operation: 33-29=4
Exploring Operation: 95-33=62, Resulting Numbers: [16, 29, 62]
Generated Node #0,1: 18:[16, 29, 62] Operation: 95-33=62
Exploring Operation: 95-29=66, Resulting Numbers: [16, 33, 66]
Generated Node #0,2: 18:[16, 33, 66] Operation: 95-29=66
Exploring Operation: 95-16=79, Resulting Numbers: [29, 33, 79]
Generated Node #0,3: 18:[29, 33, 79] Operation: 95-16=79
Moving to Node #0,1
Current State: 18:[16, 29, 62], Operations: ['95-33=62']
Exploring Operation: 62-16=46, Resulting Numbers: [29, 46]
Generated Node #0,1,0: 18:[29, 46] Operation: 62-16=46
Exploring Operation: 29-16=13, Resulting Numbers: [62, 13]
Generated Node #0,1,1: 18:[62, 13] Operation: 29-16=13
Exploring Operation: 62-29=33, Resulting Numbers: [16, 33]
Generated Node #0,1,2: 18:[16, 33] Operation: 62-29=33
Exploring Operation: 16+29=45, Resulting Numbers: [62, 45]
Generated Node #0,1,3: 18:[62, 45] Operation: 16+29=45
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 18:[16, 33], Operations: ['95-33=62', '62-29=33']
Exploring Operation: 16*33=528, Resulting Numbers: [528]
528,18 unequal: No Solution
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,18 unequal: No Solution
Exploring Operation: 16+33=49, Resulting Numbers: [49]
49,18 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:[29, 46], Operations: ['95-33=62', '62-16=46']
Exploring Operation: 29*46=1334, Resulting Numbers: [1334]
1334,18 unequal: No Solution
Exploring Operation: 46-29=17, Resulting Numbers: [17]
17,18 unequal: No Solution
Exploring Operation: 29+46=75, Resulting Numbers: [75]
75,18 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:[62, 13], Operations: ['95-33=62', '29-16=13']
Exploring Operation: 62*13=806, Resulting Numbers: [806]
806,18 unequal: No Solution
Exploring Operation: 62-13=49, Resulting Numbers: [49]
49,18 unequal: No Solution
Exploring Operation: 62+13=75, Resulting Numbers: [75]
75,18 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:[62, 45], Operations: ['95-33=62', '16+29=45']
Exploring Operation: 62+45=107, Resulting Numbers: [107]
107,18 unequal: No Solution
Exploring Operation: 62-45=17, Resulting Numbers: [17]
17,18 unequal: No Solution
Exploring Operation: 62*45=2790, Resulting Numbers: [2790]
2790,18 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:[16, 33, 66], Operations: ['95-29=66']
Exploring Operation: 66/33=2, Resulting Numbers: [16, 2]
Generated Node #0,2,0: 18:[16, 2] Operation: 66/33=2
Exploring Operation: 66-33=33, Resulting Numbers: [16, 33]
Generated Node #0,2,1: 18:[16, 33] Operation: 66-33=33
Exploring Operation: 33-16=17, Resulting Numbers: [66, 17]
Generated Node #0,2,2: 18:[66, 17] Operation: 33-16=17
Exploring Operation: 66-16=50, Resulting Numbers: [33, 50]
Generated Node #0,2,3: 18:[33, 50] Operation: 66-16=50
Moving to Node #0,0
Current State: 18:[16, 95, 4], Operations: ['33-29=4']
Exploring Operation: 16/4=4, Resulting Numbers: [95, 4]
Generated Node #0,0,0: 18:[95, 4] Operation: 16/4=4
Exploring Operation: 95-4=91, Resulting Numbers: [16, 91]
Generated Node #0,0,1: 18:[16, 91] Operation: 95-4=91
Exploring Operation: 95-16=79, Resulting Numbers: [4, 79]
Generated Node #0,0,2: 18:[4, 79] Operation: 95-16=79
Exploring Operation: 16+4=20, Resulting Numbers: [95, 20]
Generated Node #0,0,3: 18:[95, 20] Operation: 16+4=20
Moving to Node #0,3
Current State: 18:[29, 33, 79], Operations: ['95-16=79']
Exploring Operation: 79-33=46, Resulting Numbers: [29, 46]
Generated Node #0,3,0: 18:[29, 46] Operation: 79-33=46
Exploring Operation: 29+33=62, Resulting Numbers: [79, 62]
Generated Node #0,3,1: 18:[79, 62] Operation: 29+33=62
Exploring Operation: 79-29=50, Resulting Numbers: [33, 50]
Generated Node #0,3,2: 18:[33, 50] Operation: 79-29=50
Exploring Operation: 33-29=4, Resulting Numbers: [79, 4]
Generated Node #0,3,3: 18:[79, 4] Operation: 33-29=4
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 18:[29, 46], Operations: ['95-16=79', '79-33=46']
Exploring Operation: 29*46=1334, Resulting Numbers: [1334]
1334,18 unequal: No Solution
Exploring Operation: 46-29=17, Resulting Numbers: [17]
17,18 unequal: No Solution
Exploring Operation: 29+46=75, Resulting Numbers: [75]
75,18 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:[33, 50], Operations: ['95-16=79', '79-29=50']
Exploring Operation: 33+50=83, Resulting Numbers: [83]
83,18 unequal: No Solution
Exploring Operation: 33*50=1650, Resulting Numbers: [1650]
1650,18 unequal: No Solution
Exploring Operation: 50-33=17, Resulting Numbers: [17]
17,18 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 #0,3,3
Current State: 18:[79, 4], Operations: ['95-16=79', '33-29=4']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,18 unequal: No Solution
Exploring Operation: 79*4=316, Resulting Numbers: [316]
316,18 unequal: No Solution
Exploring Operation: 79+4=83, Resulting Numbers: [83]
83,18 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:[79, 62], Operations: ['95-16=79', '29+33=62']
Exploring Operation: 79*62=4898, Resulting Numbers: [4898]
4898,18 unequal: No Solution
Exploring Operation: 79+62=141, Resulting Numbers: [141]
141,18 unequal: No Solution
Exploring Operation: 79-62=17, Resulting Numbers: [17]
17,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 18:[16, 2], Operations: ['95-29=66', '66/33=2']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,18 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[16, 95, 29, 33], Operations: []
Exploring Operation: 95-29=66, Resulting Numbers: [16, 33, 66]
Generated Node #0,2: 18:[16, 33, 66] Operation: 95-29=66
Moving to Node #0,2
Current State: 18:[16, 33, 66], Operations: ['95-29=66']
Exploring Operation: 66/33=2, Resulting Numbers: [16, 2]
Generated Node #0,2,0: 18:[16, 2] Operation: 66/33=2
Moving to Node #0,2,0
Current State: 18:[16, 2], Operations: ['95-29=66', '66/33=2']
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 0.956597 | hs_4 | mult_heuristic |
[
33,
75,
42,
44
] | 45 | [
"75-33=42",
"42/42=1",
"44+1=45"
] | Current State: 45:[33, 75, 42, 44], Operations: []
Exploring Operation: 75-33=42, Resulting Numbers: [42, 44, 42]
Generated Node #2: [42, 44, 42] from Operation: 75-33=42
Current State: 45:[42, 44, 42], Operations: ['75-33=42']
Exploring Operation: 42/42=1, Resulting Numbers: [44, 1]
Generated Node #3: [44, 1] from Operation: 42/42=1
Current State: 45:[44, 1], Operations: ['75-33=42', '42/42=1']
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[33, 75, 42, 44], Operations: []
Exploring Operation: 75-33=42, Resulting Numbers: [42, 44, 42]
Generated Node #0,0: 45:[42, 44, 42] Operation: 75-33=42
Exploring Operation: 75-42=33, Resulting Numbers: [33, 44, 33]
Generated Node #0,1: 45:[33, 44, 33] Operation: 75-42=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[42, 44, 42], Operations: ['75-33=42']
Exploring Operation: 44-42=2, Resulting Numbers: [42, 2]
Generated Node #0,0,0: 45:[42, 2] Operation: 44-42=2
Exploring Operation: 42/42=1, Resulting Numbers: [44, 1]
Generated Node #0,0,1: 45:[44, 1] Operation: 42/42=1
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 45:[44, 1], Operations: ['75-33=42', '42/42=1']
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,45 unequal: No Solution
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[33, 75, 42, 44], Operations: []
Exploring Operation: 75-33=42, Resulting Numbers: [42, 44, 42]
Generated Node #0,0: 45:[42, 44, 42] Operation: 75-33=42
Moving to Node #0,0
Current State: 45:[42, 44, 42], Operations: ['75-33=42']
Exploring Operation: 42/42=1, Resulting Numbers: [44, 1]
Generated Node #0,0,1: 45:[44, 1] Operation: 42/42=1
Moving to Node #0,0,1
Current State: 45:[44, 1], Operations: ['75-33=42', '42/42=1']
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
8,
50,
1,
28
] | 13 | [
"50-8=42",
"1+28=29",
"42-29=13"
] | Current State: 13:[8, 50, 1, 28], Operations: []
Exploring Operation: 50-8=42, Resulting Numbers: [1, 28, 42]
Generated Node #2: [1, 28, 42] from Operation: 50-8=42
Current State: 13:[1, 28, 42], Operations: ['50-8=42']
Exploring Operation: 1+28=29, Resulting Numbers: [42, 29]
Generated Node #3: [42, 29] from Operation: 1+28=29
Current State: 13:[42, 29], Operations: ['50-8=42', '1+28=29']
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[8, 50, 1, 28], Operations: []
Exploring Operation: 8+1=9, Resulting Numbers: [50, 28, 9]
Generated Node #0,0: 13:[50, 28, 9] Operation: 8+1=9
Exploring Operation: 28-8=20, Resulting Numbers: [50, 1, 20]
Generated Node #0,1: 13:[50, 1, 20] Operation: 28-8=20
Exploring Operation: 50-28=22, Resulting Numbers: [8, 1, 22]
Generated Node #0,2: 13:[8, 1, 22] Operation: 50-28=22
Exploring Operation: 50-8=42, Resulting Numbers: [1, 28, 42]
Generated Node #0,3: 13:[1, 28, 42] Operation: 50-8=42
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[8, 1, 22], Operations: ['50-28=22']
Exploring Operation: 8*1=8, Resulting Numbers: [22, 8]
Generated Node #0,2,0: 13:[22, 8] Operation: 8*1=8
Exploring Operation: 22-8=14, Resulting Numbers: [1, 14]
Generated Node #0,2,1: 13:[1, 14] Operation: 22-8=14
Exploring Operation: 22-1=21, Resulting Numbers: [8, 21]
Generated Node #0,2,2: 13:[8, 21] Operation: 22-1=21
Exploring Operation: 8+1=9, Resulting Numbers: [22, 9]
Generated Node #0,2,3: 13:[22, 9] Operation: 8+1=9
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 13:[1, 14], Operations: ['50-28=22', '22-8=14']
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 1*14=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[8, 50, 1, 28], Operations: []
Exploring Operation: 50-28=22, Resulting Numbers: [8, 1, 22]
Generated Node #0,2: 13:[8, 1, 22] Operation: 50-28=22
Moving to Node #0,2
Current State: 13:[8, 1, 22], Operations: ['50-28=22']
Exploring Operation: 22-8=14, Resulting Numbers: [1, 14]
Generated Node #0,2,1: 13:[1, 14] Operation: 22-8=14
Moving to Node #0,2,1
Current State: 13:[1, 14], Operations: ['50-28=22', '22-8=14']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
11,
29,
10,
35
] | 15 | [
"11+29=40",
"35-10=25",
"40-25=15"
] | Current State: 15:[11, 29, 10, 35], Operations: []
Exploring Operation: 11+29=40, Resulting Numbers: [10, 35, 40]
Generated Node #2: [10, 35, 40] from Operation: 11+29=40
Current State: 15:[10, 35, 40], Operations: ['11+29=40']
Exploring Operation: 35-10=25, Resulting Numbers: [40, 25]
Generated Node #3: [40, 25] from Operation: 35-10=25
Current State: 15:[40, 25], Operations: ['11+29=40', '35-10=25']
Exploring Operation: 40-25=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[11, 29, 10, 35], Operations: []
Exploring Operation: 35-11=24, Resulting Numbers: [29, 10, 24]
Generated Node #0,0: 15:[29, 10, 24] Operation: 35-11=24
Exploring Operation: 35-29=6, Resulting Numbers: [11, 10, 6]
Generated Node #0,1: 15:[11, 10, 6] Operation: 35-29=6
Exploring Operation: 29-10=19, Resulting Numbers: [11, 35, 19]
Generated Node #0,2: 15:[11, 35, 19] Operation: 29-10=19
Exploring Operation: 29-11=18, Resulting Numbers: [10, 35, 18]
Generated Node #0,3: 15:[10, 35, 18] Operation: 29-11=18
Exploring Operation: 35-10=25, Resulting Numbers: [11, 29, 25]
Generated Node #0,4: 15:[11, 29, 25] Operation: 35-10=25
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[11, 10, 6], Operations: ['35-29=6']
Exploring Operation: 11+10=21, Resulting Numbers: [6, 21]
Generated Node #0,1,0: 15:[6, 21] Operation: 11+10=21
Exploring Operation: 10+6=16, Resulting Numbers: [11, 16]
Generated Node #0,1,1: 15:[11, 16] Operation: 10+6=16
Exploring Operation: 11-10=1, Resulting Numbers: [6, 1]
Generated Node #0,1,2: 15:[6, 1] Operation: 11-10=1
Exploring Operation: 10-6=4, Resulting Numbers: [11, 4]
Generated Node #0,1,3: 15:[11, 4] Operation: 10-6=4
Exploring Operation: 11-6=5, Resulting Numbers: [10, 5]
Generated Node #0,1,4: 15:[10, 5] Operation: 11-6=5
Moving to Node #0,1,2
Current State: 15:[6, 1], Operations: ['35-29=6', '11-10=1']
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 6+1=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Exploring Operation: 6*1=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Moving to Node #0,1,3
Current State: 15:[11, 4], Operations: ['35-29=6', '10-6=4']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,15 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[11, 29, 10, 35], Operations: []
Exploring Operation: 35-29=6, Resulting Numbers: [11, 10, 6]
Generated Node #0,1: 15:[11, 10, 6] Operation: 35-29=6
Moving to Node #0,1
Current State: 15:[11, 10, 6], Operations: ['35-29=6']
Exploring Operation: 10-6=4, Resulting Numbers: [11, 4]
Generated Node #0,1,3: 15:[11, 4] Operation: 10-6=4
Moving to Node #0,1,3
Current State: 15:[11, 4], Operations: ['35-29=6', '10-6=4']
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
78,
24,
14,
2
] | 66 | [
"78-24=54",
"14-2=12",
"54+12=66"
] | Current State: 66:[78, 24, 14, 2], Operations: []
Exploring Operation: 78-24=54, Resulting Numbers: [14, 2, 54]
Generated Node #2: [14, 2, 54] from Operation: 78-24=54
Current State: 66:[14, 2, 54], Operations: ['78-24=54']
Exploring Operation: 14-2=12, Resulting Numbers: [54, 12]
Generated Node #3: [54, 12] from Operation: 14-2=12
Current State: 66:[54, 12], Operations: ['78-24=54', '14-2=12']
Exploring Operation: 54+12=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[78, 24, 14, 2], Operations: []
Exploring Operation: 78/2=39, Resulting Numbers: [24, 14, 39]
Generated Node #0,0: 66:[24, 14, 39] Operation: 78/2=39
Exploring Operation: 78-14=64, Resulting Numbers: [24, 2, 64]
Generated Node #0,1: 66:[24, 2, 64] Operation: 78-14=64
Moving to Node #0,1
Current State: 66:[24, 2, 64], Operations: ['78-14=64']
Exploring Operation: 24-2=22, Resulting Numbers: [64, 22]
Generated Node #0,1,0: 66:[64, 22] Operation: 24-2=22
Exploring Operation: 2+64=66, Resulting Numbers: [24, 66]
Generated Node #0,1,1: 66:[24, 66] Operation: 2+64=66
Moving to Node #0,0
Current State: 66:[24, 14, 39], Operations: ['78/2=39']
Exploring Operation: 39-14=25, Resulting Numbers: [24, 25]
Generated Node #0,0,0: 66:[24, 25] Operation: 39-14=25
Exploring Operation: 24+39=63, Resulting Numbers: [14, 63]
Generated Node #0,0,1: 66:[14, 63] Operation: 24+39=63
Moving to Node #0,1,0
Current State: 66:[64, 22], Operations: ['78-14=64', '24-2=22']
Exploring Operation: 64+22=86, Resulting Numbers: [86]
86,66 unequal: No Solution
Exploring Operation: 64-22=42, Resulting Numbers: [42]
42,66 unequal: No Solution
Moving to Node #0,1,1
Current State: 66:[24, 66], Operations: ['78-14=64', '2+64=66']
Exploring Operation: 24+66=90, Resulting Numbers: [90]
90,66 unequal: No Solution
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,66 unequal: No Solution
Moving to Node #0,0,0
Current State: 66:[24, 25], Operations: ['78/2=39', '39-14=25']
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Exploring Operation: 24+25=49, Resulting Numbers: [49]
49,66 unequal: No Solution
Moving to Node #0,0,1
Current State: 66:[14, 63], Operations: ['78/2=39', '24+39=63']
Exploring Operation: 14+63=77, Resulting Numbers: [77]
77,66 unequal: No Solution
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,66 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
5,
33,
6,
99
] | 23 | [
"99/33=3",
"6*3=18",
"5+18=23"
] | Current State: 23:[5, 33, 6, 99], Operations: []
Exploring Operation: 99/33=3, Resulting Numbers: [5, 6, 3]
Generated Node #2: [5, 6, 3] from Operation: 99/33=3
Current State: 23:[5, 6, 3], Operations: ['99/33=3']
Exploring Operation: 6*3=18, Resulting Numbers: [5, 18]
Generated Node #3: [5, 18] from Operation: 6*3=18
Current State: 23:[5, 18], Operations: ['99/33=3', '6*3=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[5, 33, 6, 99], Operations: []
Exploring Operation: 99-33=66, Resulting Numbers: [5, 6, 66]
Generated Node #0,0: 23:[5, 6, 66] Operation: 99-33=66
Exploring Operation: 99/33=3, Resulting Numbers: [5, 6, 3]
Generated Node #0,1: 23:[5, 6, 3] Operation: 99/33=3
Moving to Node #0,1
Current State: 23:[5, 6, 3], Operations: ['99/33=3']
Exploring Operation: 6*3=18, Resulting Numbers: [5, 18]
Generated Node #0,1,0: 23:[5, 18] Operation: 6*3=18
Exploring Operation: 5*3=15, Resulting Numbers: [6, 15]
Generated Node #0,1,1: 23:[6, 15] Operation: 5*3=15
Moving to Node #0,0
Current State: 23:[5, 6, 66], Operations: ['99-33=66']
Exploring Operation: 66/6=11, Resulting Numbers: [5, 11]
Generated Node #0,0,0: 23:[5, 11] Operation: 66/6=11
Exploring Operation: 5*6=30, Resulting Numbers: [66, 30]
Generated Node #0,0,1: 23:[66, 30] Operation: 5*6=30
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[5, 11], Operations: ['99-33=66', '66/6=11']
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,23 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 23:[66, 30], Operations: ['99-33=66', '5*6=30']
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,23 unequal: No Solution
Exploring Operation: 66+30=96, Resulting Numbers: [96]
96,23 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: 23:[5, 18], Operations: ['99/33=3', '6*3=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[5, 33, 6, 99], Operations: []
Exploring Operation: 99/33=3, Resulting Numbers: [5, 6, 3]
Generated Node #0,1: 23:[5, 6, 3] Operation: 99/33=3
Moving to Node #0,1
Current State: 23:[5, 6, 3], Operations: ['99/33=3']
Exploring Operation: 6*3=18, Resulting Numbers: [5, 18]
Generated Node #0,1,0: 23:[5, 18] Operation: 6*3=18
Moving to Node #0,1,0
Current State: 23:[5, 18], Operations: ['99/33=3', '6*3=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
60,
78,
3,
42
] | 84 | [
"60-42=18",
"18/3=6",
"78+6=84"
] | Current State: 84:[60, 78, 3, 42], Operations: []
Exploring Operation: 60-42=18, Resulting Numbers: [78, 3, 18]
Generated Node #2: [78, 3, 18] from Operation: 60-42=18
Current State: 84:[78, 3, 18], Operations: ['60-42=18']
Exploring Operation: 18/3=6, Resulting Numbers: [78, 6]
Generated Node #3: [78, 6] from Operation: 18/3=6
Current State: 84:[78, 6], Operations: ['60-42=18', '18/3=6']
Exploring Operation: 78+6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[60, 78, 3, 42], Operations: []
Exploring Operation: 60/3=20, Resulting Numbers: [78, 42, 20]
Generated Node #0,0: 84:[78, 42, 20] Operation: 60/3=20
Exploring Operation: 78-60=18, Resulting Numbers: [3, 42, 18]
Generated Node #0,1: 84:[3, 42, 18] Operation: 78-60=18
Moving to Node #0,1
Current State: 84:[3, 42, 18], Operations: ['78-60=18']
Exploring Operation: 18/3=6, Resulting Numbers: [42, 6]
Generated Node #0,1,0: 84:[42, 6] Operation: 18/3=6
Exploring Operation: 3+18=21, Resulting Numbers: [42, 21]
Generated Node #0,1,1: 84:[42, 21] Operation: 3+18=21
Moving to Node #0,0
Current State: 84:[78, 42, 20], Operations: ['60/3=20']
Exploring Operation: 42-20=22, Resulting Numbers: [78, 22]
Generated Node #0,0,0: 84:[78, 22] Operation: 42-20=22
Exploring Operation: 78-42=36, Resulting Numbers: [20, 36]
Generated Node #0,0,1: 84:[20, 36] Operation: 78-42=36
Moving to Node #0,1,0
Current State: 84:[42, 6], Operations: ['78-60=18', '18/3=6']
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 42+6=48, Resulting Numbers: [48]
48,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[42, 21], Operations: ['78-60=18', '3+18=21']
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[20, 36], Operations: ['60/3=20', '78-42=36']
Exploring Operation: 20+36=56, Resulting Numbers: [56]
56,84 unequal: No Solution
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,84 unequal: No Solution
Moving to Node #0,0,0
Current State: 84:[78, 22], Operations: ['60/3=20', '42-20=22']
Exploring Operation: 78-22=56, Resulting Numbers: [56]
56,84 unequal: No Solution
Exploring Operation: 78+22=100, Resulting Numbers: [100]
100,84 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
60,
98,
31,
11
] | 18 | [
"98-60=38",
"31-11=20",
"38-20=18"
] | Current State: 18:[60, 98, 31, 11], Operations: []
Exploring Operation: 98-60=38, Resulting Numbers: [31, 11, 38]
Generated Node #2: [31, 11, 38] from Operation: 98-60=38
Current State: 18:[31, 11, 38], Operations: ['98-60=38']
Exploring Operation: 31-11=20, Resulting Numbers: [38, 20]
Generated Node #3: [38, 20] from Operation: 31-11=20
Current State: 18:[38, 20], Operations: ['98-60=38', '31-11=20']
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[60, 98, 31, 11], Operations: []
Exploring Operation: 98-60=38, Resulting Numbers: [31, 11, 38]
Generated Node #0,0: 18:[31, 11, 38] Operation: 98-60=38
Exploring Operation: 60-31=29, Resulting Numbers: [98, 11, 29]
Generated Node #0,1: 18:[98, 11, 29] Operation: 60-31=29
Moving to Node #0,0
Current State: 18:[31, 11, 38], Operations: ['98-60=38']
Exploring Operation: 38-31=7, Resulting Numbers: [11, 7]
Generated Node #0,0,0: 18:[11, 7] Operation: 38-31=7
Exploring Operation: 31-11=20, Resulting Numbers: [38, 20]
Generated Node #0,0,1: 18:[38, 20] Operation: 31-11=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[11, 7], Operations: ['98-60=38', '38-31=7']
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[60, 98, 31, 11], Operations: []
Exploring Operation: 98-60=38, Resulting Numbers: [31, 11, 38]
Generated Node #0,0: 18:[31, 11, 38] Operation: 98-60=38
Moving to Node #0,0
Current State: 18:[31, 11, 38], Operations: ['98-60=38']
Exploring Operation: 38-31=7, Resulting Numbers: [11, 7]
Generated Node #0,0,0: 18:[11, 7] Operation: 38-31=7
Moving to Node #0,0,0
Current State: 18:[11, 7], Operations: ['98-60=38', '38-31=7']
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
2,
35,
41,
59
] | 42 | [
"2*59=118",
"35+41=76",
"118-76=42"
] | Current State: 42:[2, 35, 41, 59], Operations: []
Exploring Operation: 2*59=118, Resulting Numbers: [35, 41, 118]
Generated Node #2: [35, 41, 118] from Operation: 2*59=118
Current State: 42:[35, 41, 118], Operations: ['2*59=118']
Exploring Operation: 35+41=76, Resulting Numbers: [118, 76]
Generated Node #3: [118, 76] from Operation: 35+41=76
Current State: 42:[118, 76], Operations: ['2*59=118', '35+41=76']
Exploring Operation: 118-76=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[2, 35, 41, 59], Operations: []
Exploring Operation: 59-41=18, Resulting Numbers: [2, 35, 18]
Generated Node #0,0: 42:[2, 35, 18] Operation: 59-41=18
Exploring Operation: 59-35=24, Resulting Numbers: [2, 41, 24]
Generated Node #0,1: 42:[2, 41, 24] Operation: 59-35=24
Moving to Node #0,1
Current State: 42:[2, 41, 24], Operations: ['59-35=24']
Exploring Operation: 24/2=12, Resulting Numbers: [41, 12]
Generated Node #0,1,0: 42:[41, 12] Operation: 24/2=12
Exploring Operation: 24-2=22, Resulting Numbers: [41, 22]
Generated Node #0,1,1: 42:[41, 22] Operation: 24-2=22
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 42:[41, 22], Operations: ['59-35=24', '24-2=22']
Exploring Operation: 41+22=63, Resulting Numbers: [63]
63,42 unequal: No Solution
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,42 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 #0,1,0
Current State: 42:[41, 12], Operations: ['59-35=24', '24/2=12']
Exploring Operation: 41-12=29, Resulting Numbers: [29]
29,42 unequal: No Solution
Exploring Operation: 41+12=53, Resulting Numbers: [53]
53,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 42:[2, 35, 18], Operations: ['59-41=18']
Exploring Operation: 2+35=37, Resulting Numbers: [18, 37]
Generated Node #0,0,0: 42:[18, 37] Operation: 2+35=37
Exploring Operation: 35-18=17, Resulting Numbers: [2, 17]
Generated Node #0,0,1: 42:[2, 17] Operation: 35-18=17
Moving to Node #0,0,1
Current State: 42:[2, 17], Operations: ['59-41=18', '35-18=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,42 unequal: No Solution
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,42 unequal: No Solution
Moving to Node #0,0,0
Current State: 42:[18, 37], Operations: ['59-41=18', '2+35=37']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,42 unequal: No Solution
Exploring Operation: 18+37=55, Resulting Numbers: [55]
55,42 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
87,
4,
87,
26
] | 100 | [
"87/87=1",
"26-1=25",
"4*25=100"
] | Current State: 100:[87, 4, 87, 26], Operations: []
Exploring Operation: 87/87=1, Resulting Numbers: [4, 26, 1]
Generated Node #2: [4, 26, 1] from Operation: 87/87=1
Current State: 100:[4, 26, 1], Operations: ['87/87=1']
Exploring Operation: 26-1=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 26-1=25
Current State: 100:[4, 25], Operations: ['87/87=1', '26-1=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[87, 4, 87, 26], Operations: []
Exploring Operation: 87-87=0, Resulting Numbers: [4, 26, 0]
Generated Node #0,0: 100:[4, 26, 0] Operation: 87-87=0
Exploring Operation: 87/87=1, Resulting Numbers: [4, 26, 1]
Generated Node #0,1: 100:[4, 26, 1] Operation: 87/87=1
Exploring Operation: 87+4=91, Resulting Numbers: [87, 26, 91]
Generated Node #0,2: 100:[87, 26, 91] Operation: 87+4=91
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[4, 26, 1], Operations: ['87/87=1']
Exploring Operation: 4+1=5, Resulting Numbers: [26, 5]
Generated Node #0,1,0: 100:[26, 5] Operation: 4+1=5
Exploring Operation: 26-1=25, Resulting Numbers: [4, 25]
Generated Node #0,1,1: 100:[4, 25] Operation: 26-1=25
Exploring Operation: 4*1=4, Resulting Numbers: [26, 4]
Generated Node #0,1,2: 100:[26, 4] Operation: 4*1=4
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 100:[4, 25], Operations: ['87/87=1', '26-1=25']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,100 unequal: No Solution
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[87, 4, 87, 26], Operations: []
Exploring Operation: 87/87=1, Resulting Numbers: [4, 26, 1]
Generated Node #0,1: 100:[4, 26, 1] Operation: 87/87=1
Moving to Node #0,1
Current State: 100:[4, 26, 1], Operations: ['87/87=1']
Exploring Operation: 26-1=25, Resulting Numbers: [4, 25]
Generated Node #0,1,1: 100:[4, 25] Operation: 26-1=25
Moving to Node #0,1,1
Current State: 100:[4, 25], Operations: ['87/87=1', '26-1=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
22,
9,
51,
4
] | 80 | [
"22+9=31",
"51-31=20",
"4*20=80"
] | Current State: 80:[22, 9, 51, 4], Operations: []
Exploring Operation: 22+9=31, Resulting Numbers: [51, 4, 31]
Generated Node #2: [51, 4, 31] from Operation: 22+9=31
Current State: 80:[51, 4, 31], Operations: ['22+9=31']
Exploring Operation: 51-31=20, Resulting Numbers: [4, 20]
Generated Node #3: [4, 20] from Operation: 51-31=20
Current State: 80:[4, 20], Operations: ['22+9=31', '51-31=20']
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[22, 9, 51, 4], Operations: []
Exploring Operation: 51-22=29, Resulting Numbers: [9, 4, 29]
Generated Node #0,0: 80:[9, 4, 29] Operation: 51-22=29
Exploring Operation: 51-9=42, Resulting Numbers: [22, 4, 42]
Generated Node #0,1: 80:[22, 4, 42] Operation: 51-9=42
Exploring Operation: 22+51=73, Resulting Numbers: [9, 4, 73]
Generated Node #0,2: 80:[9, 4, 73] Operation: 22+51=73
Moving to Node #0,1
Current State: 80:[22, 4, 42], Operations: ['51-9=42']
Exploring Operation: 42-4=38, Resulting Numbers: [22, 38]
Generated Node #0,1,0: 80:[22, 38] Operation: 42-4=38
Exploring Operation: 42-22=20, Resulting Numbers: [4, 20]
Generated Node #0,1,1: 80:[4, 20] Operation: 42-22=20
Exploring Operation: 22-4=18, Resulting Numbers: [42, 18]
Generated Node #0,1,2: 80:[42, 18] Operation: 22-4=18
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[4, 20], Operations: ['51-9=42', '42-22=20']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[22, 9, 51, 4], Operations: []
Exploring Operation: 51-9=42, Resulting Numbers: [22, 4, 42]
Generated Node #0,1: 80:[22, 4, 42] Operation: 51-9=42
Moving to Node #0,1
Current State: 80:[22, 4, 42], Operations: ['51-9=42']
Exploring Operation: 42-22=20, Resulting Numbers: [4, 20]
Generated Node #0,1,1: 80:[4, 20] Operation: 42-22=20
Moving to Node #0,1,1
Current State: 80:[4, 20], Operations: ['51-9=42', '42-22=20']
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
76,
41,
68,
65
] | 98 | [
"76-41=35",
"68+65=133",
"133-35=98"
] | Current State: 98:[76, 41, 68, 65], Operations: []
Exploring Operation: 76-41=35, Resulting Numbers: [68, 65, 35]
Generated Node #2: [68, 65, 35] from Operation: 76-41=35
Current State: 98:[68, 65, 35], Operations: ['76-41=35']
Exploring Operation: 68+65=133, Resulting Numbers: [35, 133]
Generated Node #3: [35, 133] from Operation: 68+65=133
Current State: 98:[35, 133], Operations: ['76-41=35', '68+65=133']
Exploring Operation: 133-35=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[76, 41, 68, 65], Operations: []
Exploring Operation: 76-41=35, Resulting Numbers: [68, 65, 35]
Generated Node #0,0: 98:[68, 65, 35] Operation: 76-41=35
Exploring Operation: 41+68=109, Resulting Numbers: [76, 65, 109]
Generated Node #0,1: 98:[76, 65, 109] Operation: 41+68=109
Exploring Operation: 76-65=11, Resulting Numbers: [41, 68, 11]
Generated Node #0,2: 98:[41, 68, 11] Operation: 76-65=11
Exploring Operation: 76-68=8, Resulting Numbers: [41, 65, 8]
Generated Node #0,3: 98:[41, 65, 8] Operation: 76-68=8
Exploring Operation: 68-65=3, Resulting Numbers: [76, 41, 3]
Generated Node #0,4: 98:[76, 41, 3] Operation: 68-65=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 98:[41, 65, 8], Operations: ['76-68=8']
Exploring Operation: 41+65=106, Resulting Numbers: [8, 106]
Generated Node #0,3,0: 98:[8, 106] Operation: 41+65=106
Exploring Operation: 41+8=49, Resulting Numbers: [65, 49]
Generated Node #0,3,1: 98:[65, 49] Operation: 41+8=49
Exploring Operation: 41-8=33, Resulting Numbers: [65, 33]
Generated Node #0,3,2: 98:[65, 33] Operation: 41-8=33
Exploring Operation: 65-8=57, Resulting Numbers: [41, 57]
Generated Node #0,3,3: 98:[41, 57] Operation: 65-8=57
Exploring Operation: 65-41=24, Resulting Numbers: [8, 24]
Generated Node #0,3,4: 98:[8, 24] Operation: 65-41=24
Moving to Node #0,3,0
Current State: 98:[8, 106], Operations: ['76-68=8', '41+65=106']
Exploring Operation: 106-8=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[76, 41, 68, 65], Operations: []
Exploring Operation: 76-68=8, Resulting Numbers: [41, 65, 8]
Generated Node #0,3: 98:[41, 65, 8] Operation: 76-68=8
Moving to Node #0,3
Current State: 98:[41, 65, 8], Operations: ['76-68=8']
Exploring Operation: 41+65=106, Resulting Numbers: [8, 106]
Generated Node #0,3,0: 98:[8, 106] Operation: 41+65=106
Moving to Node #0,3,0
Current State: 98:[8, 106], Operations: ['76-68=8', '41+65=106']
Exploring Operation: 106-8=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
59,
59,
10,
59
] | 48 | [
"59/59=1",
"59-10=49",
"49-1=48"
] | Current State: 48:[59, 59, 10, 59], Operations: []
Exploring Operation: 59/59=1, Resulting Numbers: [10, 1]
Generated Node #2: [10, 1] from Operation: 59/59=1
Current State: 48:[10, 1], Operations: ['59/59=1']
Exploring Operation: 59-10=49, Resulting Numbers: [1, 49]
Generated Node #3: [1, 49] from Operation: 59-10=49
Current State: 48:[1, 49], Operations: ['59/59=1', '59-10=49']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[59, 59, 10, 59], Operations: []
Exploring Operation: 59/59=1, Resulting Numbers: [59, 10, 1]
Generated Node #0,0: 48:[59, 10, 1] Operation: 59/59=1
Exploring Operation: 59/59=1, Resulting Numbers: [59, 10, 1]
Generated Node #0,1: 48:[59, 10, 1] Operation: 59/59=1
Exploring Operation: 59/59=1, Resulting Numbers: [10, 59, 1]
Generated Node #0,2: 48:[10, 59, 1] Operation: 59/59=1
Exploring Operation: 59-59=0, Resulting Numbers: [10, 59, 0]
Generated Node #0,3: 48:[10, 59, 0] Operation: 59-59=0
Moving to Node #0,0
Current State: 48:[59, 10, 1], Operations: ['59/59=1']
Exploring Operation: 59-10=49, Resulting Numbers: [1, 49]
Generated Node #0,0,0: 48:[1, 49] Operation: 59-10=49
Exploring Operation: 10+1=11, Resulting Numbers: [59, 11]
Generated Node #0,0,1: 48:[59, 11] Operation: 10+1=11
Exploring Operation: 59-1=58, Resulting Numbers: [10, 58]
Generated Node #0,0,2: 48:[10, 58] Operation: 59-1=58
Exploring Operation: 10-1=9, Resulting Numbers: [59, 9]
Generated Node #0,0,3: 48:[59, 9] Operation: 10-1=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[1, 49], Operations: ['59/59=1', '59-10=49']
Exploring Operation: 49/1=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 1*49=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[59, 59, 10, 59], Operations: []
Exploring Operation: 59/59=1, Resulting Numbers: [59, 10, 1]
Generated Node #0,0: 48:[59, 10, 1] Operation: 59/59=1
Moving to Node #0,0
Current State: 48:[59, 10, 1], Operations: ['59/59=1']
Exploring Operation: 59-10=49, Resulting Numbers: [1, 49]
Generated Node #0,0,0: 48:[1, 49] Operation: 59-10=49
Moving to Node #0,0,0
Current State: 48:[1, 49], Operations: ['59/59=1', '59-10=49']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
9,
41,
69,
42
] | 38 | [
"69-42=27",
"27/9=3",
"41-3=38"
] | Current State: 38:[9, 41, 69, 42], Operations: []
Exploring Operation: 69-42=27, Resulting Numbers: [9, 41, 27]
Generated Node #2: [9, 41, 27] from Operation: 69-42=27
Current State: 38:[9, 41, 27], Operations: ['69-42=27']
Exploring Operation: 27/9=3, Resulting Numbers: [41, 3]
Generated Node #3: [41, 3] from Operation: 27/9=3
Current State: 38:[41, 3], Operations: ['69-42=27', '27/9=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[9, 41, 69, 42], Operations: []
Exploring Operation: 42-41=1, Resulting Numbers: [9, 69, 1]
Generated Node #0,0: 38:[9, 69, 1] Operation: 42-41=1
Exploring Operation: 69-9=60, Resulting Numbers: [41, 42, 60]
Generated Node #0,1: 38:[41, 42, 60] Operation: 69-9=60
Exploring Operation: 69-41=28, Resulting Numbers: [9, 42, 28]
Generated Node #0,2: 38:[9, 42, 28] Operation: 69-41=28
Exploring Operation: 69-42=27, Resulting Numbers: [9, 41, 27]
Generated Node #0,3: 38:[9, 41, 27] Operation: 69-42=27
Exploring Operation: 42-9=33, Resulting Numbers: [41, 69, 33]
Generated Node #0,4: 38:[41, 69, 33] Operation: 42-9=33
Moving to Node #0,3
Current State: 38:[9, 41, 27], Operations: ['69-42=27']
Exploring Operation: 27/9=3, Resulting Numbers: [41, 3]
Generated Node #0,3,0: 38:[41, 3] Operation: 27/9=3
Exploring Operation: 41-9=32, Resulting Numbers: [27, 32]
Generated Node #0,3,1: 38:[27, 32] Operation: 41-9=32
Exploring Operation: 41-27=14, Resulting Numbers: [9, 14]
Generated Node #0,3,2: 38:[9, 14] Operation: 41-27=14
Exploring Operation: 27-9=18, Resulting Numbers: [41, 18]
Generated Node #0,3,3: 38:[41, 18] Operation: 27-9=18
Exploring Operation: 9+27=36, Resulting Numbers: [41, 36]
Generated Node #0,3,4: 38:[41, 36] Operation: 9+27=36
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 38:[41, 3], Operations: ['69-42=27', '27/9=3']
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Exploring Operation: 41*3=123, Resulting Numbers: [123]
123,38 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[9, 41, 69, 42], Operations: []
Exploring Operation: 69-42=27, Resulting Numbers: [9, 41, 27]
Generated Node #0,3: 38:[9, 41, 27] Operation: 69-42=27
Moving to Node #0,3
Current State: 38:[9, 41, 27], Operations: ['69-42=27']
Exploring Operation: 27/9=3, Resulting Numbers: [41, 3]
Generated Node #0,3,0: 38:[41, 3] Operation: 27/9=3
Moving to Node #0,3,0
Current State: 38:[41, 3], Operations: ['69-42=27', '27/9=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
10,
27,
81,
23
] | 53 | [
"10*81=810",
"810/27=30",
"23+30=53"
] | Current State: 53:[10, 27, 81, 23], Operations: []
Exploring Operation: 10*81=810, Resulting Numbers: [27, 23, 810]
Generated Node #2: [27, 23, 810] from Operation: 10*81=810
Current State: 53:[27, 23, 810], Operations: ['10*81=810']
Exploring Operation: 810/27=30, Resulting Numbers: [23, 30]
Generated Node #3: [23, 30] from Operation: 810/27=30
Current State: 53:[23, 30], Operations: ['10*81=810', '810/27=30']
Exploring Operation: 23+30=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[10, 27, 81, 23], Operations: []
Exploring Operation: 27+23=50, Resulting Numbers: [10, 81, 50]
Generated Node #0,0: 53:[10, 81, 50] Operation: 27+23=50
Exploring Operation: 10+27=37, Resulting Numbers: [81, 23, 37]
Generated Node #0,1: 53:[81, 23, 37] Operation: 10+27=37
Exploring Operation: 10+23=33, Resulting Numbers: [27, 81, 33]
Generated Node #0,2: 53:[27, 81, 33] Operation: 10+23=33
Exploring Operation: 81-10=71, Resulting Numbers: [27, 23, 71]
Generated Node #0,3: 53:[27, 23, 71] Operation: 81-10=71
Exploring Operation: 81-27=54, Resulting Numbers: [10, 23, 54]
Generated Node #0,4: 53:[10, 23, 54] Operation: 81-27=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[10, 81, 50], Operations: ['27+23=50']
Exploring Operation: 81-50=31, Resulting Numbers: [10, 31]
Generated Node #0,0,0: 53:[10, 31] Operation: 81-50=31
Exploring Operation: 10+50=60, Resulting Numbers: [81, 60]
Generated Node #0,0,1: 53:[81, 60] Operation: 10+50=60
Exploring Operation: 10+81=91, Resulting Numbers: [50, 91]
Generated Node #0,0,2: 53:[50, 91] Operation: 10+81=91
Exploring Operation: 50-10=40, Resulting Numbers: [81, 40]
Generated Node #0,0,3: 53:[81, 40] Operation: 50-10=40
Exploring Operation: 81-10=71, Resulting Numbers: [50, 71]
Generated Node #0,0,4: 53:[50, 71] Operation: 81-10=71
Moving to Node #0,0,4
Current State: 53:[50, 71], Operations: ['27+23=50', '81-10=71']
Exploring Operation: 71-50=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 50*71=3550, Resulting Numbers: [3550]
3550,53 unequal: No Solution
Exploring Operation: 50+71=121, Resulting Numbers: [121]
121,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[81, 60], Operations: ['27+23=50', '10+50=60']
Exploring Operation: 81*60=4860, Resulting Numbers: [4860]
4860,53 unequal: No Solution
Exploring Operation: 81+60=141, Resulting Numbers: [141]
141,53 unequal: No Solution
Exploring Operation: 81-60=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[50, 91], Operations: ['27+23=50', '10+81=91']
Exploring Operation: 50+91=141, Resulting Numbers: [141]
141,53 unequal: No Solution
Exploring Operation: 91-50=41, Resulting Numbers: [41]
41,53 unequal: No Solution
Exploring Operation: 50*91=4550, Resulting Numbers: [4550]
4550,53 unequal: No Solution
Moving to Node #0,0,3
Current State: 53:[81, 40], Operations: ['27+23=50', '50-10=40']
Exploring Operation: 81*40=3240, Resulting Numbers: [3240]
3240,53 unequal: No Solution
Exploring Operation: 81+40=121, Resulting Numbers: [121]
121,53 unequal: No Solution
Exploring Operation: 81-40=41, Resulting Numbers: [41]
41,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[10, 31], Operations: ['27+23=50', '81-50=31']
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 10+31=41, Resulting Numbers: [41]
41,53 unequal: No Solution
Exploring Operation: 10*31=310, Resulting Numbers: [310]
310,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[81, 23, 37], Operations: ['10+27=37']
Exploring Operation: 81+23=104, Resulting Numbers: [37, 104]
Generated Node #0,1,0: 53:[37, 104] Operation: 81+23=104
Exploring Operation: 23+37=60, Resulting Numbers: [81, 60]
Generated Node #0,1,1: 53:[81, 60] Operation: 23+37=60
Exploring Operation: 81-23=58, Resulting Numbers: [37, 58]
Generated Node #0,1,2: 53:[37, 58] Operation: 81-23=58
Exploring Operation: 37-23=14, Resulting Numbers: [81, 14]
Generated Node #0,1,3: 53:[81, 14] Operation: 37-23=14
Exploring Operation: 81-37=44, Resulting Numbers: [23, 44]
Generated Node #0,1,4: 53:[23, 44] Operation: 81-37=44
Moving to Node #0,1,2
Current State: 53:[37, 58], Operations: ['10+27=37', '81-23=58']
Exploring Operation: 37+58=95, Resulting Numbers: [95]
95,53 unequal: No Solution
Exploring Operation: 37*58=2146, Resulting Numbers: [2146]
2146,53 unequal: No Solution
Exploring Operation: 58-37=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[81, 60], Operations: ['10+27=37', '23+37=60']
Exploring Operation: 81-60=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 81+60=141, Resulting Numbers: [141]
141,53 unequal: No Solution
Exploring Operation: 81*60=4860, Resulting Numbers: [4860]
4860,53 unequal: No Solution
Moving to Node #0,1,4
Current State: 53:[23, 44], Operations: ['10+27=37', '81-37=44']
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 23*44=1012, Resulting Numbers: [1012]
1012,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[37, 104], Operations: ['10+27=37', '81+23=104']
Exploring Operation: 37+104=141, Resulting Numbers: [141]
141,53 unequal: No Solution
Exploring Operation: 104-37=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Exploring Operation: 37*104=3848, Resulting Numbers: [3848]
3848,53 unequal: No Solution
Moving to Node #0,1,3
Current State: 53:[81, 14], Operations: ['10+27=37', '37-23=14']
Exploring Operation: 81*14=1134, Resulting Numbers: [1134]
1134,53 unequal: No Solution
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Exploring Operation: 81+14=95, Resulting Numbers: [95]
95,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 53:[27, 81, 33], Operations: ['10+23=33']
Exploring Operation: 27+81=108, Resulting Numbers: [33, 108]
Generated Node #0,2,0: 53:[33, 108] Operation: 27+81=108
Exploring Operation: 81-27=54, Resulting Numbers: [33, 54]
Generated Node #0,2,1: 53:[33, 54] Operation: 81-27=54
Exploring Operation: 27+33=60, Resulting Numbers: [81, 60]
Generated Node #0,2,2: 53:[81, 60] Operation: 27+33=60
Exploring Operation: 81/27=3, Resulting Numbers: [33, 3]
Generated Node #0,2,3: 53:[33, 3] Operation: 81/27=3
Exploring Operation: 81-33=48, Resulting Numbers: [27, 48]
Generated Node #0,2,4: 53:[27, 48] Operation: 81-33=48
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 53:[33, 54], Operations: ['10+23=33', '81-27=54']
Exploring Operation: 54-33=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 33*54=1782, Resulting Numbers: [1782]
1782,53 unequal: No Solution
Exploring Operation: 33+54=87, Resulting Numbers: [87]
87,53 unequal: No Solution
No 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: 53:[27, 48], Operations: ['10+23=33', '81-33=48']
Exploring Operation: 27+48=75, Resulting Numbers: [75]
75,53 unequal: No Solution
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 27*48=1296, Resulting Numbers: [1296]
1296,53 unequal: No Solution
No 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: 53:[81, 60], Operations: ['10+23=33', '27+33=60']
Exploring Operation: 81-60=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 81*60=4860, Resulting Numbers: [4860]
4860,53 unequal: No Solution
Exploring Operation: 81+60=141, Resulting Numbers: [141]
141,53 unequal: No Solution
No 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: 53:[33, 3], Operations: ['10+23=33', '81/27=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,53 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,53 unequal: No Solution
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,53 unequal: No Solution
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,53 unequal: No Solution
No 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: 53:[33, 108], Operations: ['10+23=33', '27+81=108']
Exploring Operation: 33*108=3564, Resulting Numbers: [3564]
3564,53 unequal: No Solution
Exploring Operation: 108-33=75, Resulting Numbers: [75]
75,53 unequal: No Solution
Exploring Operation: 33+108=141, Resulting Numbers: [141]
141,53 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: 53:[27, 23, 71], Operations: ['81-10=71']
Exploring Operation: 27-23=4, Resulting Numbers: [71, 4]
Generated Node #0,3,0: 53:[71, 4] Operation: 27-23=4
Exploring Operation: 27+23=50, Resulting Numbers: [71, 50]
Generated Node #0,3,1: 53:[71, 50] Operation: 27+23=50
Exploring Operation: 71-27=44, Resulting Numbers: [23, 44]
Generated Node #0,3,2: 53:[23, 44] Operation: 71-27=44
Exploring Operation: 71-23=48, Resulting Numbers: [27, 48]
Generated Node #0,3,3: 53:[27, 48] Operation: 71-23=48
Exploring Operation: 23+71=94, Resulting Numbers: [27, 94]
Generated Node #0,3,4: 53:[27, 94] Operation: 23+71=94
Moving to Node #0,3,1
Current State: 53:[71, 50], Operations: ['81-10=71', '27+23=50']
Exploring Operation: 71-50=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 71*50=3550, Resulting Numbers: [3550]
3550,53 unequal: No Solution
Exploring Operation: 71+50=121, Resulting Numbers: [121]
121,53 unequal: No Solution
Moving to Node #0,3,3
Current State: 53:[27, 48], Operations: ['81-10=71', '71-23=48']
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 27+48=75, Resulting Numbers: [75]
75,53 unequal: No Solution
Exploring Operation: 27*48=1296, Resulting Numbers: [1296]
1296,53 unequal: No Solution
Moving to Node #0,3,2
Current State: 53:[23, 44], Operations: ['81-10=71', '71-27=44']
Exploring Operation: 23*44=1012, Resulting Numbers: [1012]
1012,53 unequal: No Solution
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Moving to Node #0,3,0
Current State: 53:[71, 4], Operations: ['81-10=71', '27-23=4']
Exploring Operation: 71*4=284, Resulting Numbers: [284]
284,53 unequal: No Solution
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,53 unequal: No Solution
Moving to Node #0,3,4
Current State: 53:[27, 94], Operations: ['81-10=71', '23+71=94']
Exploring Operation: 27*94=2538, Resulting Numbers: [2538]
2538,53 unequal: No Solution
Exploring Operation: 27+94=121, Resulting Numbers: [121]
121,53 unequal: No Solution
Exploring Operation: 94-27=67, Resulting Numbers: [67]
67,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 53:[10, 23, 54], Operations: ['81-27=54']
Exploring Operation: 54-10=44, Resulting Numbers: [23, 44]
Generated Node #0,4,0: 53:[23, 44] Operation: 54-10=44
Exploring Operation: 10+23=33, Resulting Numbers: [54, 33]
Generated Node #0,4,1: 53:[54, 33] Operation: 10+23=33
Exploring Operation: 54-23=31, Resulting Numbers: [10, 31]
Generated Node #0,4,2: 53:[10, 31] Operation: 54-23=31
Exploring Operation: 10+54=64, Resulting Numbers: [23, 64]
Generated Node #0,4,3: 53:[23, 64] Operation: 10+54=64
Exploring Operation: 23-10=13, Resulting Numbers: [54, 13]
Generated Node #0,4,4: 53:[54, 13] Operation: 23-10=13
Moving to Node #0,4,1
Current State: 53:[54, 33], Operations: ['81-27=54', '10+23=33']
Exploring Operation: 54-33=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 54+33=87, Resulting Numbers: [87]
87,53 unequal: No Solution
Exploring Operation: 54*33=1782, Resulting Numbers: [1782]
1782,53 unequal: No Solution
Moving to Node #0,4,0
Current State: 53:[23, 44], Operations: ['81-27=54', '54-10=44']
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 23*44=1012, Resulting Numbers: [1012]
1012,53 unequal: No Solution
Moving to Node #0,4,3
Current State: 53:[23, 64], Operations: ['81-27=54', '10+54=64']
Exploring Operation: 23*64=1472, Resulting Numbers: [1472]
1472,53 unequal: No Solution
Exploring Operation: 23+64=87, Resulting Numbers: [87]
87,53 unequal: No Solution
Exploring Operation: 64-23=41, Resulting Numbers: [41]
41,53 unequal: No Solution
Moving to Node #0,4,4
Current State: 53:[54, 13], Operations: ['81-27=54', '23-10=13']
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,53 unequal: No Solution
Exploring Operation: 54+13=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Exploring Operation: 54*13=702, Resulting Numbers: [702]
702,53 unequal: No Solution
Moving to Node #0,4,2
Current State: 53:[10, 31], Operations: ['81-27=54', '54-23=31']
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 10+31=41, Resulting Numbers: [41]
41,53 unequal: No Solution
Exploring Operation: 10*31=310, Resulting Numbers: [310]
310,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
20,
76,
16,
22
] | 68 | [
"22-20=2",
"16/2=8",
"76-8=68"
] | Current State: 68:[20, 76, 16, 22], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [76, 16, 2]
Generated Node #2: [76, 16, 2] from Operation: 22-20=2
Current State: 68:[76, 16, 2], Operations: ['22-20=2']
Exploring Operation: 16/2=8, Resulting Numbers: [76, 8]
Generated Node #3: [76, 8] from Operation: 16/2=8
Current State: 68:[76, 8], Operations: ['22-20=2', '16/2=8']
Exploring Operation: 76-8=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[20, 76, 16, 22], Operations: []
Exploring Operation: 22-16=6, Resulting Numbers: [20, 76, 6]
Generated Node #0,0: 68:[20, 76, 6] Operation: 22-16=6
Exploring Operation: 22-20=2, Resulting Numbers: [76, 16, 2]
Generated Node #0,1: 68:[76, 16, 2] Operation: 22-20=2
Exploring Operation: 20-16=4, Resulting Numbers: [76, 22, 4]
Generated Node #0,2: 68:[76, 22, 4] Operation: 20-16=4
Moving to Node #0,1
Current State: 68:[76, 16, 2], Operations: ['22-20=2']
Exploring Operation: 76-16=60, Resulting Numbers: [2, 60]
Generated Node #0,1,0: 68:[2, 60] Operation: 76-16=60
Exploring Operation: 76/2=38, Resulting Numbers: [16, 38]
Generated Node #0,1,1: 68:[16, 38] Operation: 76/2=38
Exploring Operation: 76-2=74, Resulting Numbers: [16, 74]
Generated Node #0,1,2: 68:[16, 74] Operation: 76-2=74
Moving to Node #0,0
Current State: 68:[20, 76, 6], Operations: ['22-16=6']
Exploring Operation: 20-6=14, Resulting Numbers: [76, 14]
Generated Node #0,0,0: 68:[76, 14] Operation: 20-6=14
Exploring Operation: 76-6=70, Resulting Numbers: [20, 70]
Generated Node #0,0,1: 68:[20, 70] Operation: 76-6=70
Exploring Operation: 76-20=56, Resulting Numbers: [6, 56]
Generated Node #0,0,2: 68:[6, 56] Operation: 76-20=56
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 68:[20, 70], Operations: ['22-16=6', '76-6=70']
Exploring Operation: 20*70=1400, Resulting Numbers: [1400]
1400,68 unequal: No Solution
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,68 unequal: No Solution
Exploring Operation: 20+70=90, Resulting Numbers: [90]
90,68 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:[76, 14], Operations: ['22-16=6', '20-6=14']
Exploring Operation: 76*14=1064, Resulting Numbers: [1064]
1064,68 unequal: No Solution
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Exploring Operation: 76+14=90, Resulting Numbers: [90]
90,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 68:[6, 56], Operations: ['22-16=6', '76-20=56']
Exploring Operation: 6*56=336, Resulting Numbers: [336]
336,68 unequal: No Solution
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,68 unequal: No Solution
Exploring Operation: 6+56=62, Resulting Numbers: [62]
62,68 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:[76, 22, 4], Operations: ['20-16=4']
Exploring Operation: 22-4=18, Resulting Numbers: [76, 18]
Generated Node #0,2,0: 68:[76, 18] Operation: 22-4=18
Exploring Operation: 76/4=19, Resulting Numbers: [22, 19]
Generated Node #0,2,1: 68:[22, 19] Operation: 76/4=19
Exploring Operation: 76-4=72, Resulting Numbers: [22, 72]
Generated Node #0,2,2: 68:[22, 72] Operation: 76-4=72
Moving to Node #0,1,1
Current State: 68:[16, 38], Operations: ['22-20=2', '76/2=38']
Exploring Operation: 16+38=54, Resulting Numbers: [54]
54,68 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,68 unequal: No Solution
Exploring Operation: 16*38=608, Resulting Numbers: [608]
608,68 unequal: No Solution
Moving to Node #0,1,2
Current State: 68:[16, 74], Operations: ['22-20=2', '76-2=74']
Exploring Operation: 74-16=58, Resulting Numbers: [58]
58,68 unequal: No Solution
Exploring Operation: 16*74=1184, Resulting Numbers: [1184]
1184,68 unequal: No Solution
Exploring Operation: 16+74=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,2,1
Current State: 68:[22, 19], Operations: ['20-16=4', '76/4=19']
Exploring Operation: 22*19=418, Resulting Numbers: [418]
418,68 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,68 unequal: No Solution
Exploring Operation: 22+19=41, Resulting Numbers: [41]
41,68 unequal: No Solution
Moving to Node #0,1,0
Current State: 68:[2, 60], Operations: ['22-20=2', '76-16=60']
Exploring Operation: 2+60=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,68 unequal: No Solution
Moving to Node #0,2,2
Current State: 68:[22, 72], Operations: ['20-16=4', '76-4=72']
Exploring Operation: 22+72=94, Resulting Numbers: [94]
94,68 unequal: No Solution
Exploring Operation: 72-22=50, Resulting Numbers: [50]
50,68 unequal: No Solution
Exploring Operation: 22*72=1584, Resulting Numbers: [1584]
1584,68 unequal: No Solution
Moving to Node #0,2,0
Current State: 68:[76, 18], Operations: ['20-16=4', '22-4=18']
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,68 unequal: No Solution
Exploring Operation: 76+18=94, Resulting Numbers: [94]
94,68 unequal: No Solution
Exploring Operation: 76*18=1368, Resulting Numbers: [1368]
1368,68 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
8,
19,
48,
34
] | 93 | [
"19-8=11",
"48+34=82",
"11+82=93"
] | Current State: 93:[8, 19, 48, 34], Operations: []
Exploring Operation: 19-8=11, Resulting Numbers: [48, 34, 11]
Generated Node #2: [48, 34, 11] from Operation: 19-8=11
Current State: 93:[48, 34, 11], Operations: ['19-8=11']
Exploring Operation: 48+34=82, Resulting Numbers: [11, 82]
Generated Node #3: [11, 82] from Operation: 48+34=82
Current State: 93:[11, 82], Operations: ['19-8=11', '48+34=82']
Exploring Operation: 11+82=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[8, 19, 48, 34], Operations: []
Exploring Operation: 48/8=6, Resulting Numbers: [19, 34, 6]
Generated Node #0,0: 93:[19, 34, 6] Operation: 48/8=6
Exploring Operation: 48-19=29, Resulting Numbers: [8, 34, 29]
Generated Node #0,1: 93:[8, 34, 29] Operation: 48-19=29
Moving to Node #0,1
Current State: 93:[8, 34, 29], Operations: ['48-19=29']
Exploring Operation: 34-8=26, Resulting Numbers: [29, 26]
Generated Node #0,1,0: 93:[29, 26] Operation: 34-8=26
Exploring Operation: 34-29=5, Resulting Numbers: [8, 5]
Generated Node #0,1,1: 93:[8, 5] Operation: 34-29=5
Moving to Node #0,0
Current State: 93:[19, 34, 6], Operations: ['48/8=6']
Exploring Operation: 19+6=25, Resulting Numbers: [34, 25]
Generated Node #0,0,0: 93:[34, 25] Operation: 19+6=25
Exploring Operation: 19-6=13, Resulting Numbers: [34, 13]
Generated Node #0,0,1: 93:[34, 13] Operation: 19-6=13
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[34, 25], Operations: ['48/8=6', '19+6=25']
Exploring Operation: 34+25=59, Resulting Numbers: [59]
59,93 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 93:[34, 13], Operations: ['48/8=6', '19-6=13']
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,93 unequal: No Solution
Exploring Operation: 34+13=47, Resulting Numbers: [47]
47,93 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: 93:[29, 26], Operations: ['48-19=29', '34-8=26']
Exploring Operation: 29-26=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 29+26=55, Resulting Numbers: [55]
55,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[8, 5], Operations: ['48-19=29', '34-29=5']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,93 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
89,
36,
83,
27
] | 69 | [
"89+36=125",
"83-27=56",
"125-56=69"
] | Current State: 69:[89, 36, 83, 27], Operations: []
Exploring Operation: 89+36=125, Resulting Numbers: [83, 27, 125]
Generated Node #2: [83, 27, 125] from Operation: 89+36=125
Current State: 69:[83, 27, 125], Operations: ['89+36=125']
Exploring Operation: 83-27=56, Resulting Numbers: [125, 56]
Generated Node #3: [125, 56] from Operation: 83-27=56
Current State: 69:[125, 56], Operations: ['89+36=125', '83-27=56']
Exploring Operation: 125-56=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[89, 36, 83, 27], Operations: []
Exploring Operation: 89-27=62, Resulting Numbers: [36, 83, 62]
Generated Node #0,0: 69:[36, 83, 62] Operation: 89-27=62
Exploring Operation: 89-36=53, Resulting Numbers: [83, 27, 53]
Generated Node #0,1: 69:[83, 27, 53] Operation: 89-36=53
Exploring Operation: 89-83=6, Resulting Numbers: [36, 27, 6]
Generated Node #0,2: 69:[36, 27, 6] Operation: 89-83=6
Exploring Operation: 36+27=63, Resulting Numbers: [89, 83, 63]
Generated Node #0,3: 69:[89, 83, 63] Operation: 36+27=63
Exploring Operation: 36-27=9, Resulting Numbers: [89, 83, 9]
Generated Node #0,4: 69:[89, 83, 9] Operation: 36-27=9
Start Sub Search at level 1: Moving to Node #0,2
Current State: 69:[36, 27, 6], Operations: ['89-83=6']
Exploring Operation: 36+27=63, Resulting Numbers: [6, 63]
Generated Node #0,2,0: 69:[6, 63] Operation: 36+27=63
Exploring Operation: 36/6=6, Resulting Numbers: [27, 6]
Generated Node #0,2,1: 69:[27, 6] Operation: 36/6=6
Exploring Operation: 36-27=9, Resulting Numbers: [6, 9]
Generated Node #0,2,2: 69:[6, 9] Operation: 36-27=9
Exploring Operation: 36-6=30, Resulting Numbers: [27, 30]
Generated Node #0,2,3: 69:[27, 30] Operation: 36-6=30
Exploring Operation: 27-6=21, Resulting Numbers: [36, 21]
Generated Node #0,2,4: 69:[36, 21] Operation: 27-6=21
Moving to Node #0,2,1
Current State: 69:[27, 6], Operations: ['89-83=6', '36/6=6']
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,69 unequal: No Solution
Exploring Operation: 27*6=162, Resulting Numbers: [162]
162,69 unequal: No Solution
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,69 unequal: No Solution
Moving to Node #0,2,2
Current State: 69:[6, 9], Operations: ['89-83=6', '36-27=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,69 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,69 unequal: No Solution
Moving to Node #0,2,0
Current State: 69:[6, 63], Operations: ['89-83=6', '36+27=63']
Exploring Operation: 6*63=378, Resulting Numbers: [378]
378,69 unequal: No Solution
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,69 unequal: No Solution
Exploring Operation: 6+63=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[89, 36, 83, 27], Operations: []
Exploring Operation: 89-83=6, Resulting Numbers: [36, 27, 6]
Generated Node #0,2: 69:[36, 27, 6] Operation: 89-83=6
Moving to Node #0,2
Current State: 69:[36, 27, 6], Operations: ['89-83=6']
Exploring Operation: 36+27=63, Resulting Numbers: [6, 63]
Generated Node #0,2,0: 69:[6, 63] Operation: 36+27=63
Moving to Node #0,2,0
Current State: 69:[6, 63], Operations: ['89-83=6', '36+27=63']
Exploring Operation: 6+63=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | sum_heuristic |
[
19,
2,
26,
57
] | 25 | [
"26-19=7",
"57-7=50",
"50/2=25"
] | Current State: 25:[19, 2, 26, 57], Operations: []
Exploring Operation: 26-19=7, Resulting Numbers: [2, 57, 7]
Generated Node #2: [2, 57, 7] from Operation: 26-19=7
Current State: 25:[2, 57, 7], Operations: ['26-19=7']
Exploring Operation: 57-7=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 57-7=50
Current State: 25:[2, 50], Operations: ['26-19=7', '57-7=50']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[19, 2, 26, 57], Operations: []
Exploring Operation: 57/19=3, Resulting Numbers: [2, 26, 3]
Generated Node #0,0: 25:[2, 26, 3] Operation: 57/19=3
Exploring Operation: 57-26=31, Resulting Numbers: [19, 2, 31]
Generated Node #0,1: 25:[19, 2, 31] Operation: 57-26=31
Moving to Node #0,0
Current State: 25:[2, 26, 3], Operations: ['57/19=3']
Exploring Operation: 2*3=6, Resulting Numbers: [26, 6]
Generated Node #0,0,0: 25:[26, 6] Operation: 2*3=6
Exploring Operation: 2+3=5, Resulting Numbers: [26, 5]
Generated Node #0,0,1: 25:[26, 5] Operation: 2+3=5
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 25:[26, 5], Operations: ['57/19=3', '2+3=5']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,25 unequal: No Solution
Exploring Operation: 26+5=31, Resulting Numbers: [31]
31,25 unequal: No Solution
No 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: 25:[26, 6], Operations: ['57/19=3', '2*3=6']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,25 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: 25:[19, 2, 31], Operations: ['57-26=31']
Exploring Operation: 31-19=12, Resulting Numbers: [2, 12]
Generated Node #0,1,0: 25:[2, 12] Operation: 31-19=12
Exploring Operation: 19+2=21, Resulting Numbers: [31, 21]
Generated Node #0,1,1: 25:[31, 21] Operation: 19+2=21
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 25:[2, 12], Operations: ['57-26=31', '31-19=12']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,25 unequal: No Solution
No 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: 25:[31, 21], Operations: ['57-26=31', '19+2=21']
Exploring Operation: 31+21=52, Resulting Numbers: [52]
52,25 unequal: No Solution
Exploring Operation: 31-21=10, Resulting Numbers: [10]
10,25 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 |
[
60,
58,
77,
33
] | 82 | [
"60*77=4620",
"4620/33=140",
"140-58=82"
] | Current State: 82:[60, 58, 77, 33], Operations: []
Exploring Operation: 60*77=4620, Resulting Numbers: [58, 33, 4620]
Generated Node #2: [58, 33, 4620] from Operation: 60*77=4620
Current State: 82:[58, 33, 4620], Operations: ['60*77=4620']
Exploring Operation: 4620/33=140, Resulting Numbers: [58, 140]
Generated Node #3: [58, 140] from Operation: 4620/33=140
Current State: 82:[58, 140], Operations: ['60*77=4620', '4620/33=140']
Exploring Operation: 140-58=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[60, 58, 77, 33], Operations: []
Exploring Operation: 60-33=27, Resulting Numbers: [58, 77, 27]
Generated Node #0,0: 82:[58, 77, 27] Operation: 60-33=27
Exploring Operation: 60+33=93, Resulting Numbers: [58, 77, 93]
Generated Node #0,1: 82:[58, 77, 93] Operation: 60+33=93
Exploring Operation: 60-58=2, Resulting Numbers: [77, 33, 2]
Generated Node #0,2: 82:[77, 33, 2] Operation: 60-58=2
Exploring Operation: 77-33=44, Resulting Numbers: [60, 58, 44]
Generated Node #0,3: 82:[60, 58, 44] Operation: 77-33=44
Exploring Operation: 58+33=91, Resulting Numbers: [60, 77, 91]
Generated Node #0,4: 82:[60, 77, 91] Operation: 58+33=91
Moving to Node #0,2
Current State: 82:[77, 33, 2], Operations: ['60-58=2']
Exploring Operation: 77-33=44, Resulting Numbers: [2, 44]
Generated Node #0,2,0: 82:[2, 44] Operation: 77-33=44
Exploring Operation: 77+2=79, Resulting Numbers: [33, 79]
Generated Node #0,2,1: 82:[33, 79] Operation: 77+2=79
Exploring Operation: 77-2=75, Resulting Numbers: [33, 75]
Generated Node #0,2,2: 82:[33, 75] Operation: 77-2=75
Exploring Operation: 33-2=31, Resulting Numbers: [77, 31]
Generated Node #0,2,3: 82:[77, 31] Operation: 33-2=31
Exploring Operation: 33+2=35, Resulting Numbers: [77, 35]
Generated Node #0,2,4: 82:[77, 35] Operation: 33+2=35
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 82:[2, 44], Operations: ['60-58=2', '77-33=44']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,82 unequal: No Solution
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,82 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 82:[33, 79], Operations: ['60-58=2', '77+2=79']
Exploring Operation: 33+79=112, Resulting Numbers: [112]
112,82 unequal: No Solution
Exploring Operation: 79-33=46, Resulting Numbers: [46]
46,82 unequal: No Solution
Exploring Operation: 33*79=2607, Resulting Numbers: [2607]
2607,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 82:[77, 35], Operations: ['60-58=2', '33+2=35']
Exploring Operation: 77-35=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 77*35=2695, Resulting Numbers: [2695]
2695,82 unequal: No Solution
Exploring Operation: 77+35=112, Resulting Numbers: [112]
112,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 82:[33, 75], Operations: ['60-58=2', '77-2=75']
Exploring Operation: 33*75=2475, Resulting Numbers: [2475]
2475,82 unequal: No Solution
Exploring Operation: 75-33=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 33+75=108, Resulting Numbers: [108]
108,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 82:[77, 31], Operations: ['60-58=2', '33-2=31']
Exploring Operation: 77+31=108, Resulting Numbers: [108]
108,82 unequal: No Solution
Exploring Operation: 77-31=46, Resulting Numbers: [46]
46,82 unequal: No Solution
Exploring Operation: 77*31=2387, Resulting Numbers: [2387]
2387,82 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: 82:[60, 77, 91], Operations: ['58+33=91']
Exploring Operation: 77-60=17, Resulting Numbers: [91, 17]
Generated Node #0,4,0: 82:[91, 17] Operation: 77-60=17
Exploring Operation: 91-77=14, Resulting Numbers: [60, 14]
Generated Node #0,4,1: 82:[60, 14] Operation: 91-77=14
Exploring Operation: 91-60=31, Resulting Numbers: [77, 31]
Generated Node #0,4,2: 82:[77, 31] Operation: 91-60=31
Exploring Operation: 60+91=151, Resulting Numbers: [77, 151]
Generated Node #0,4,3: 82:[77, 151] Operation: 60+91=151
Exploring Operation: 60+77=137, Resulting Numbers: [91, 137]
Generated Node #0,4,4: 82:[91, 137] Operation: 60+77=137
Moving to Node #0,1
Current State: 82:[58, 77, 93], Operations: ['60+33=93']
Exploring Operation: 93-58=35, Resulting Numbers: [77, 35]
Generated Node #0,1,0: 82:[77, 35] Operation: 93-58=35
Exploring Operation: 77-58=19, Resulting Numbers: [93, 19]
Generated Node #0,1,1: 82:[93, 19] Operation: 77-58=19
Exploring Operation: 58+93=151, Resulting Numbers: [77, 151]
Generated Node #0,1,2: 82:[77, 151] Operation: 58+93=151
Exploring Operation: 93-77=16, Resulting Numbers: [58, 16]
Generated Node #0,1,3: 82:[58, 16] Operation: 93-77=16
Exploring Operation: 58+77=135, Resulting Numbers: [93, 135]
Generated Node #0,1,4: 82:[93, 135] Operation: 58+77=135
Moving to Node #0,0
Current State: 82:[58, 77, 27], Operations: ['60-33=27']
Exploring Operation: 58+27=85, Resulting Numbers: [77, 85]
Generated Node #0,0,0: 82:[77, 85] Operation: 58+27=85
Exploring Operation: 77-27=50, Resulting Numbers: [58, 50]
Generated Node #0,0,1: 82:[58, 50] Operation: 77-27=50
Exploring Operation: 77+27=104, Resulting Numbers: [58, 104]
Generated Node #0,0,2: 82:[58, 104] Operation: 77+27=104
Exploring Operation: 58-27=31, Resulting Numbers: [77, 31]
Generated Node #0,0,3: 82:[77, 31] Operation: 58-27=31
Exploring Operation: 77-58=19, Resulting Numbers: [27, 19]
Generated Node #0,0,4: 82:[27, 19] Operation: 77-58=19
Moving to Node #0,3
Current State: 82:[60, 58, 44], Operations: ['77-33=44']
Exploring Operation: 60+58=118, Resulting Numbers: [44, 118]
Generated Node #0,3,0: 82:[44, 118] Operation: 60+58=118
Exploring Operation: 60+44=104, Resulting Numbers: [58, 104]
Generated Node #0,3,1: 82:[58, 104] Operation: 60+44=104
Exploring Operation: 58-44=14, Resulting Numbers: [60, 14]
Generated Node #0,3,2: 82:[60, 14] Operation: 58-44=14
Exploring Operation: 60-44=16, Resulting Numbers: [58, 16]
Generated Node #0,3,3: 82:[58, 16] Operation: 60-44=16
Exploring Operation: 60-58=2, Resulting Numbers: [44, 2]
Generated Node #0,3,4: 82:[44, 2] Operation: 60-58=2
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 82:[44, 2], Operations: ['77-33=44', '60-58=2']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,82 unequal: No Solution
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,82 unequal: No Solution
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,82 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 82:[60, 14], Operations: ['77-33=44', '58-44=14']
Exploring Operation: 60*14=840, Resulting Numbers: [840]
840,82 unequal: No Solution
Exploring Operation: 60-14=46, Resulting Numbers: [46]
46,82 unequal: No Solution
Exploring Operation: 60+14=74, Resulting Numbers: [74]
74,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 82:[58, 16], Operations: ['77-33=44', '60-44=16']
Exploring Operation: 58+16=74, Resulting Numbers: [74]
74,82 unequal: No Solution
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 58*16=928, Resulting Numbers: [928]
928,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 82:[44, 118], Operations: ['77-33=44', '60+58=118']
Exploring Operation: 44+118=162, Resulting Numbers: [162]
162,82 unequal: No Solution
Exploring Operation: 44*118=5192, Resulting Numbers: [5192]
5192,82 unequal: No Solution
Exploring Operation: 118-44=74, Resulting Numbers: [74]
74,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 82:[58, 104], Operations: ['77-33=44', '60+44=104']
Exploring Operation: 104-58=46, Resulting Numbers: [46]
46,82 unequal: No Solution
Exploring Operation: 58+104=162, Resulting Numbers: [162]
162,82 unequal: No Solution
Exploring Operation: 58*104=6032, Resulting Numbers: [6032]
6032,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 82:[77, 85], Operations: ['60-33=27', '58+27=85']
Exploring Operation: 77+85=162, Resulting Numbers: [162]
162,82 unequal: No Solution
Exploring Operation: 77*85=6545, Resulting Numbers: [6545]
6545,82 unequal: No Solution
Exploring Operation: 85-77=8, Resulting Numbers: [8]
8,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[77, 35], Operations: ['60+33=93', '93-58=35']
Exploring Operation: 77*35=2695, Resulting Numbers: [2695]
2695,82 unequal: No Solution
Exploring Operation: 77+35=112, Resulting Numbers: [112]
112,82 unequal: No Solution
Exploring Operation: 77-35=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Moving to Node #0,4,2
Current State: 82:[77, 31], Operations: ['58+33=91', '91-60=31']
Exploring Operation: 77*31=2387, Resulting Numbers: [2387]
2387,82 unequal: No Solution
Exploring Operation: 77-31=46, Resulting Numbers: [46]
46,82 unequal: No Solution
Exploring Operation: 77+31=108, Resulting Numbers: [108]
108,82 unequal: No Solution
Moving to Node #0,0,3
Current State: 82:[77, 31], Operations: ['60-33=27', '58-27=31']
Exploring Operation: 77*31=2387, Resulting Numbers: [2387]
2387,82 unequal: No Solution
Exploring Operation: 77+31=108, Resulting Numbers: [108]
108,82 unequal: No Solution
Exploring Operation: 77-31=46, Resulting Numbers: [46]
46,82 unequal: No Solution
Moving to Node #0,4,0
Current State: 82:[91, 17], Operations: ['58+33=91', '77-60=17']
Exploring Operation: 91-17=74, Resulting Numbers: [74]
74,82 unequal: No Solution
Exploring Operation: 91+17=108, Resulting Numbers: [108]
108,82 unequal: No Solution
Exploring Operation: 91*17=1547, Resulting Numbers: [1547]
1547,82 unequal: No Solution
Moving to Node #0,0,1
Current State: 82:[58, 50], Operations: ['60-33=27', '77-27=50']
Exploring Operation: 58+50=108, Resulting Numbers: [108]
108,82 unequal: No Solution
Exploring Operation: 58-50=8, Resulting Numbers: [8]
8,82 unequal: No Solution
Exploring Operation: 58*50=2900, Resulting Numbers: [2900]
2900,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[93, 19], Operations: ['60+33=93', '77-58=19']
Exploring Operation: 93-19=74, Resulting Numbers: [74]
74,82 unequal: No Solution
Exploring Operation: 93*19=1767, Resulting Numbers: [1767]
1767,82 unequal: No Solution
Exploring Operation: 93+19=112, Resulting Numbers: [112]
112,82 unequal: No Solution
Moving to Node #0,4,1
Current State: 82:[60, 14], Operations: ['58+33=91', '91-77=14']
Exploring Operation: 60+14=74, Resulting Numbers: [74]
74,82 unequal: No Solution
Exploring Operation: 60*14=840, Resulting Numbers: [840]
840,82 unequal: No Solution
Exploring Operation: 60-14=46, Resulting Numbers: [46]
46,82 unequal: No Solution
Moving to Node #0,1,3
Current State: 82:[58, 16], Operations: ['60+33=93', '93-77=16']
Exploring Operation: 58+16=74, Resulting Numbers: [74]
74,82 unequal: No Solution
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 58*16=928, Resulting Numbers: [928]
928,82 unequal: No Solution
Moving to Node #0,0,4
Current State: 82:[27, 19], Operations: ['60-33=27', '77-58=19']
Exploring Operation: 27-19=8, Resulting Numbers: [8]
8,82 unequal: No Solution
Exploring Operation: 27+19=46, Resulting Numbers: [46]
46,82 unequal: No Solution
Exploring Operation: 27*19=513, Resulting Numbers: [513]
513,82 unequal: No Solution
Moving to Node #0,0,2
Current State: 82:[58, 104], Operations: ['60-33=27', '77+27=104']
Exploring Operation: 58*104=6032, Resulting Numbers: [6032]
6032,82 unequal: No Solution
Exploring Operation: 104-58=46, Resulting Numbers: [46]
46,82 unequal: No Solution
Exploring Operation: 58+104=162, Resulting Numbers: [162]
162,82 unequal: No Solution
Moving to Node #0,1,4
Current State: 82:[93, 135], Operations: ['60+33=93', '58+77=135']
Exploring Operation: 93*135=12555, Resulting Numbers: [12555]
12555,82 unequal: No Solution
Exploring Operation: 93+135=228, Resulting Numbers: [228]
228,82 unequal: No Solution
Exploring Operation: 135-93=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Moving to Node #0,4,4
Current State: 82:[91, 137], Operations: ['58+33=91', '60+77=137']
Exploring Operation: 137-91=46, Resulting Numbers: [46]
46,82 unequal: No Solution
Exploring Operation: 91*137=12467, Resulting Numbers: [12467]
12467,82 unequal: No Solution
Exploring Operation: 91+137=228, Resulting Numbers: [228]
228,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[77, 151], Operations: ['60+33=93', '58+93=151']
Exploring Operation: 77*151=11627, Resulting Numbers: [11627]
11627,82 unequal: No Solution
Exploring Operation: 77+151=228, Resulting Numbers: [228]
228,82 unequal: No Solution
Exploring Operation: 151-77=74, Resulting Numbers: [74]
74,82 unequal: No Solution
Moving to Node #0,4,3
Current State: 82:[77, 151], Operations: ['58+33=91', '60+91=151']
Exploring Operation: 151-77=74, Resulting Numbers: [74]
74,82 unequal: No Solution
Exploring Operation: 77+151=228, Resulting Numbers: [228]
228,82 unequal: No Solution
Exploring Operation: 77*151=11627, Resulting Numbers: [11627]
11627,82 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
35,
86,
11,
55
] | 44 | [
"35+86=121",
"121/11=11",
"55-11=44"
] | Current State: 44:[35, 86, 11, 55], Operations: []
Exploring Operation: 35+86=121, Resulting Numbers: [11, 55, 121]
Generated Node #2: [11, 55, 121] from Operation: 35+86=121
Current State: 44:[11, 55, 121], Operations: ['35+86=121']
Exploring Operation: 121/11=11, Resulting Numbers: [55, 11]
Generated Node #3: [55, 11] from Operation: 121/11=11
Current State: 44:[55, 11], Operations: ['35+86=121', '121/11=11']
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[35, 86, 11, 55], Operations: []
Exploring Operation: 86-35=51, Resulting Numbers: [11, 55, 51]
Generated Node #0,0: 44:[11, 55, 51] Operation: 86-35=51
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[11, 55, 51], Operations: ['86-35=51']
Exploring Operation: 55-51=4, Resulting Numbers: [11, 4]
Generated Node #0,0,0: 44:[11, 4] Operation: 55-51=4
Moving to Node #0,0,0
Current State: 44:[11, 4], Operations: ['86-35=51', '55-51=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[35, 86, 11, 55], Operations: []
Exploring Operation: 86-35=51, Resulting Numbers: [11, 55, 51]
Generated Node #0,0: 44:[11, 55, 51] Operation: 86-35=51
Moving to Node #0,0
Current State: 44:[11, 55, 51], Operations: ['86-35=51']
Exploring Operation: 55-51=4, Resulting Numbers: [11, 4]
Generated Node #0,0,0: 44:[11, 4] Operation: 55-51=4
Moving to Node #0,0,0
Current State: 44:[11, 4], Operations: ['86-35=51', '55-51=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
3,
51,
98,
6
] | 45 | [
"6/3=2",
"98-51=47",
"47-2=45"
] | Current State: 45:[3, 51, 98, 6], Operations: []
Exploring Operation: 6/3=2, Resulting Numbers: [51, 98, 2]
Generated Node #2: [51, 98, 2] from Operation: 6/3=2
Current State: 45:[51, 98, 2], Operations: ['6/3=2']
Exploring Operation: 98-51=47, Resulting Numbers: [2, 47]
Generated Node #3: [2, 47] from Operation: 98-51=47
Current State: 45:[2, 47], Operations: ['6/3=2', '98-51=47']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[3, 51, 98, 6], Operations: []
Exploring Operation: 98-6=92, Resulting Numbers: [3, 51, 92]
Generated Node #0,0: 45:[3, 51, 92] Operation: 98-6=92
Exploring Operation: 51/3=17, Resulting Numbers: [98, 6, 17]
Generated Node #0,1: 45:[98, 6, 17] Operation: 51/3=17
Exploring Operation: 51-6=45, Resulting Numbers: [3, 98, 45]
Generated Node #0,2: 45:[3, 98, 45] Operation: 51-6=45
Exploring Operation: 98-51=47, Resulting Numbers: [3, 6, 47]
Generated Node #0,3: 45:[3, 6, 47] Operation: 98-51=47
Start Sub Search at level 1: Moving to Node #0,3
Current State: 45:[3, 6, 47], Operations: ['98-51=47']
Exploring Operation: 6/3=2, Resulting Numbers: [47, 2]
Generated Node #0,3,0: 45:[47, 2] Operation: 6/3=2
Exploring Operation: 6-3=3, Resulting Numbers: [47, 3]
Generated Node #0,3,1: 45:[47, 3] Operation: 6-3=3
Exploring Operation: 3+6=9, Resulting Numbers: [47, 9]
Generated Node #0,3,2: 45:[47, 9] Operation: 3+6=9
Exploring Operation: 47-3=44, Resulting Numbers: [6, 44]
Generated Node #0,3,3: 45:[6, 44] Operation: 47-3=44
Moving to Node #0,3,1
Current State: 45:[47, 3], Operations: ['98-51=47', '6-3=3']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,45 unequal: No Solution
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,45 unequal: No Solution
Exploring Operation: 47*3=141, Resulting Numbers: [141]
141,45 unequal: No Solution
Moving to Node #0,3,3
Current State: 45:[6, 44], Operations: ['98-51=47', '47-3=44']
Exploring Operation: 6+44=50, Resulting Numbers: [50]
50,45 unequal: No Solution
Exploring Operation: 6*44=264, Resulting Numbers: [264]
264,45 unequal: No Solution
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,45 unequal: No Solution
Moving to Node #0,3,2
Current State: 45:[47, 9], Operations: ['98-51=47', '3+6=9']
Exploring Operation: 47+9=56, Resulting Numbers: [56]
56,45 unequal: No Solution
Exploring Operation: 47-9=38, Resulting Numbers: [38]
38,45 unequal: No Solution
Exploring Operation: 47*9=423, Resulting Numbers: [423]
423,45 unequal: No Solution
Moving to Node #0,3,0
Current State: 45:[47, 2], Operations: ['98-51=47', '6/3=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,45 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[3, 51, 98, 6], Operations: []
Exploring Operation: 98-51=47, Resulting Numbers: [3, 6, 47]
Generated Node #0,3: 45:[3, 6, 47] Operation: 98-51=47
Moving to Node #0,3
Current State: 45:[3, 6, 47], Operations: ['98-51=47']
Exploring Operation: 6/3=2, Resulting Numbers: [47, 2]
Generated Node #0,3,0: 45:[47, 2] Operation: 6/3=2
Moving to Node #0,3,0
Current State: 45:[47, 2], Operations: ['98-51=47', '6/3=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_4 | sum_heuristic |
[
95,
9,
10,
21
] | 93 | [
"95+9=104",
"21-10=11",
"104-11=93"
] | Current State: 93:[95, 9, 10, 21], Operations: []
Exploring Operation: 95+9=104, Resulting Numbers: [10, 21, 104]
Generated Node #2: [10, 21, 104] from Operation: 95+9=104
Current State: 93:[10, 21, 104], Operations: ['95+9=104']
Exploring Operation: 21-10=11, Resulting Numbers: [104, 11]
Generated Node #3: [104, 11] from Operation: 21-10=11
Current State: 93:[104, 11], Operations: ['95+9=104', '21-10=11']
Exploring Operation: 104-11=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[95, 9, 10, 21], Operations: []
Exploring Operation: 9*10=90, Resulting Numbers: [95, 21, 90]
Generated Node #0,0: 93:[95, 21, 90] Operation: 9*10=90
Exploring Operation: 9+21=30, Resulting Numbers: [95, 10, 30]
Generated Node #0,1: 93:[95, 10, 30] Operation: 9+21=30
Exploring Operation: 10+21=31, Resulting Numbers: [95, 9, 31]
Generated Node #0,2: 93:[95, 9, 31] Operation: 10+21=31
Exploring Operation: 10-9=1, Resulting Numbers: [95, 21, 1]
Generated Node #0,3: 93:[95, 21, 1] Operation: 10-9=1
Exploring Operation: 21-10=11, Resulting Numbers: [95, 9, 11]
Generated Node #0,4: 93:[95, 9, 11] Operation: 21-10=11
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[95, 9, 31], Operations: ['10+21=31']
Exploring Operation: 95+9=104, Resulting Numbers: [31, 104]
Generated Node #0,2,0: 93:[31, 104] Operation: 95+9=104
Exploring Operation: 31-9=22, Resulting Numbers: [95, 22]
Generated Node #0,2,1: 93:[95, 22] Operation: 31-9=22
Exploring Operation: 95-9=86, Resulting Numbers: [31, 86]
Generated Node #0,2,2: 93:[31, 86] Operation: 95-9=86
Exploring Operation: 95-31=64, Resulting Numbers: [9, 64]
Generated Node #0,2,3: 93:[9, 64] Operation: 95-31=64
Exploring Operation: 9+31=40, Resulting Numbers: [95, 40]
Generated Node #0,2,4: 93:[95, 40] Operation: 9+31=40
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 93:[31, 86], Operations: ['10+21=31', '95-9=86']
Exploring Operation: 86-31=55, Resulting Numbers: [55]
55,93 unequal: No Solution
Exploring Operation: 31*86=2666, Resulting Numbers: [2666]
2666,93 unequal: No Solution
Exploring Operation: 31+86=117, Resulting Numbers: [117]
117,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 93:[31, 104], Operations: ['10+21=31', '95+9=104']
Exploring Operation: 31*104=3224, Resulting Numbers: [3224]
3224,93 unequal: No Solution
Exploring Operation: 104-31=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 31+104=135, Resulting Numbers: [135]
135,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 93:[95, 22], Operations: ['10+21=31', '31-9=22']
Exploring Operation: 95*22=2090, Resulting Numbers: [2090]
2090,93 unequal: No Solution
Exploring Operation: 95-22=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 95+22=117, Resulting Numbers: [117]
117,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 93:[95, 40], Operations: ['10+21=31', '9+31=40']
Exploring Operation: 95+40=135, Resulting Numbers: [135]
135,93 unequal: No Solution
Exploring Operation: 95-40=55, Resulting Numbers: [55]
55,93 unequal: No Solution
Exploring Operation: 95*40=3800, Resulting Numbers: [3800]
3800,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 93:[9, 64], Operations: ['10+21=31', '95-31=64']
Exploring Operation: 9*64=576, Resulting Numbers: [576]
576,93 unequal: No Solution
Exploring Operation: 9+64=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[95, 10, 30], Operations: ['9+21=30']
Exploring Operation: 95+10=105, Resulting Numbers: [30, 105]
Generated Node #0,1,0: 93:[30, 105] Operation: 95+10=105
Exploring Operation: 30/10=3, Resulting Numbers: [95, 3]
Generated Node #0,1,1: 93:[95, 3] Operation: 30/10=3
Exploring Operation: 95-10=85, Resulting Numbers: [30, 85]
Generated Node #0,1,2: 93:[30, 85] Operation: 95-10=85
Exploring Operation: 30-10=20, Resulting Numbers: [95, 20]
Generated Node #0,1,3: 93:[95, 20] Operation: 30-10=20
Exploring Operation: 10+30=40, Resulting Numbers: [95, 40]
Generated Node #0,1,4: 93:[95, 40] Operation: 10+30=40
Moving to Node #0,1,1
Current State: 93:[95, 3], Operations: ['9+21=30', '30/10=3']
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,93 unequal: No Solution
Exploring Operation: 95*3=285, Resulting Numbers: [285]
285,93 unequal: No Solution
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,93 unequal: No Solution
Moving to Node #0,1,2
Current State: 93:[30, 85], Operations: ['9+21=30', '95-10=85']
Exploring Operation: 30*85=2550, Resulting Numbers: [2550]
2550,93 unequal: No Solution
Exploring Operation: 85-30=55, Resulting Numbers: [55]
55,93 unequal: No Solution
Exploring Operation: 30+85=115, Resulting Numbers: [115]
115,93 unequal: No Solution
Moving to Node #0,1,4
Current State: 93:[95, 40], Operations: ['9+21=30', '10+30=40']
Exploring Operation: 95*40=3800, Resulting Numbers: [3800]
3800,93 unequal: No Solution
Exploring Operation: 95+40=135, Resulting Numbers: [135]
135,93 unequal: No Solution
Exploring Operation: 95-40=55, Resulting Numbers: [55]
55,93 unequal: No Solution
Moving to Node #0,1,0
Current State: 93:[30, 105], Operations: ['9+21=30', '95+10=105']
Exploring Operation: 30+105=135, Resulting Numbers: [135]
135,93 unequal: No Solution
Exploring Operation: 30*105=3150, Resulting Numbers: [3150]
3150,93 unequal: No Solution
Exploring Operation: 105-30=75, Resulting Numbers: [75]
75,93 unequal: No Solution
Moving to Node #0,1,3
Current State: 93:[95, 20], Operations: ['9+21=30', '30-10=20']
Exploring Operation: 95-20=75, Resulting Numbers: [75]
75,93 unequal: No Solution
Exploring Operation: 95+20=115, Resulting Numbers: [115]
115,93 unequal: No Solution
Exploring Operation: 95*20=1900, Resulting Numbers: [1900]
1900,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 93:[95, 21, 1], Operations: ['10-9=1']
Exploring Operation: 21+1=22, Resulting Numbers: [95, 22]
Generated Node #0,3,0: 93:[95, 22] Operation: 21+1=22
Exploring Operation: 21*1=21, Resulting Numbers: [95, 21]
Generated Node #0,3,1: 93:[95, 21] Operation: 21*1=21
Exploring Operation: 95/1=95, Resulting Numbers: [21, 95]
Generated Node #0,3,2: 93:[21, 95] Operation: 95/1=95
Exploring Operation: 95*1=95, Resulting Numbers: [21, 95]
Generated Node #0,3,3: 93:[21, 95] Operation: 95*1=95
Exploring Operation: 95-1=94, Resulting Numbers: [21, 94]
Generated Node #0,3,4: 93:[21, 94] Operation: 95-1=94
Moving to Node #0,3,0
Current State: 93:[95, 22], Operations: ['10-9=1', '21+1=22']
Exploring Operation: 95+22=117, Resulting Numbers: [117]
117,93 unequal: No Solution
Exploring Operation: 95-22=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 95*22=2090, Resulting Numbers: [2090]
2090,93 unequal: No Solution
Moving to Node #0,3,4
Current State: 93:[21, 94], Operations: ['10-9=1', '95-1=94']
Exploring Operation: 21*94=1974, Resulting Numbers: [1974]
1974,93 unequal: No Solution
Exploring Operation: 94-21=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 21+94=115, Resulting Numbers: [115]
115,93 unequal: No Solution
Moving to Node #0,3,1
Current State: 93:[95, 21], Operations: ['10-9=1', '21*1=21']
Exploring Operation: 95*21=1995, Resulting Numbers: [1995]
1995,93 unequal: No Solution
Exploring Operation: 95+21=116, Resulting Numbers: [116]
116,93 unequal: No Solution
Exploring Operation: 95-21=74, Resulting Numbers: [74]
74,93 unequal: No Solution
Moving to Node #0,3,2
Current State: 93:[21, 95], Operations: ['10-9=1', '95/1=95']
Exploring Operation: 21+95=116, Resulting Numbers: [116]
116,93 unequal: No Solution
Exploring Operation: 21*95=1995, Resulting Numbers: [1995]
1995,93 unequal: No Solution
Exploring Operation: 95-21=74, Resulting Numbers: [74]
74,93 unequal: No Solution
Moving to Node #0,3,3
Current State: 93:[21, 95], Operations: ['10-9=1', '95*1=95']
Exploring Operation: 95-21=74, Resulting Numbers: [74]
74,93 unequal: No Solution
Exploring Operation: 21+95=116, Resulting Numbers: [116]
116,93 unequal: No Solution
Exploring Operation: 21*95=1995, Resulting Numbers: [1995]
1995,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[95, 21, 90], Operations: ['9*10=90']
Exploring Operation: 21+90=111, Resulting Numbers: [95, 111]
Generated Node #0,0,0: 93:[95, 111] Operation: 21+90=111
Exploring Operation: 90-21=69, Resulting Numbers: [95, 69]
Generated Node #0,0,1: 93:[95, 69] Operation: 90-21=69
Exploring Operation: 95-21=74, Resulting Numbers: [90, 74]
Generated Node #0,0,2: 93:[90, 74] Operation: 95-21=74
Exploring Operation: 95-90=5, Resulting Numbers: [21, 5]
Generated Node #0,0,3: 93:[21, 5] Operation: 95-90=5
Exploring Operation: 95+21=116, Resulting Numbers: [90, 116]
Generated Node #0,0,4: 93:[90, 116] Operation: 95+21=116
Moving to Node #0,0,3
Current State: 93:[21, 5], Operations: ['9*10=90', '95-90=5']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Exploring Operation: 21*5=105, Resulting Numbers: [105]
105,93 unequal: No Solution
Exploring Operation: 21+5=26, Resulting Numbers: [26]
26,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[95, 111], Operations: ['9*10=90', '21+90=111']
Exploring Operation: 111-95=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Exploring Operation: 95+111=206, Resulting Numbers: [206]
206,93 unequal: No Solution
Exploring Operation: 95*111=10545, Resulting Numbers: [10545]
10545,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[90, 74], Operations: ['9*10=90', '95-21=74']
Exploring Operation: 90*74=6660, Resulting Numbers: [6660]
6660,93 unequal: No Solution
Exploring Operation: 90-74=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Exploring Operation: 90+74=164, Resulting Numbers: [164]
164,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[95, 69], Operations: ['9*10=90', '90-21=69']
Exploring Operation: 95*69=6555, Resulting Numbers: [6555]
6555,93 unequal: No Solution
Exploring Operation: 95-69=26, Resulting Numbers: [26]
26,93 unequal: No Solution
Exploring Operation: 95+69=164, Resulting Numbers: [164]
164,93 unequal: No Solution
Moving to Node #0,0,4
Current State: 93:[90, 116], Operations: ['9*10=90', '95+21=116']
Exploring Operation: 90+116=206, Resulting Numbers: [206]
206,93 unequal: No Solution
Exploring Operation: 116-90=26, Resulting Numbers: [26]
26,93 unequal: No Solution
Exploring Operation: 90*116=10440, Resulting Numbers: [10440]
10440,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 93:[95, 9, 11], Operations: ['21-10=11']
Exploring Operation: 95-9=86, Resulting Numbers: [11, 86]
Generated Node #0,4,0: 93:[11, 86] Operation: 95-9=86
Exploring Operation: 9+11=20, Resulting Numbers: [95, 20]
Generated Node #0,4,1: 93:[95, 20] Operation: 9+11=20
Exploring Operation: 11-9=2, Resulting Numbers: [95, 2]
Generated Node #0,4,2: 93:[95, 2] Operation: 11-9=2
Exploring Operation: 9*11=99, Resulting Numbers: [95, 99]
Generated Node #0,4,3: 93:[95, 99] Operation: 9*11=99
Exploring Operation: 95-11=84, Resulting Numbers: [9, 84]
Generated Node #0,4,4: 93:[9, 84] Operation: 95-11=84
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 93:[95, 2], Operations: ['21-10=11', '11-9=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[95, 9, 10, 21], Operations: []
Exploring Operation: 21-10=11, Resulting Numbers: [95, 9, 11]
Generated Node #0,4: 93:[95, 9, 11] Operation: 21-10=11
Moving to Node #0,4
Current State: 93:[95, 9, 11], Operations: ['21-10=11']
Exploring Operation: 11-9=2, Resulting Numbers: [95, 2]
Generated Node #0,4,2: 93:[95, 2] Operation: 11-9=2
Moving to Node #0,4,2
Current State: 93:[95, 2], Operations: ['21-10=11', '11-9=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.917535 | hs_5 | sum_heuristic |
[
89,
48,
3,
44
] | 90 | [
"89+48=137",
"3+44=47",
"137-47=90"
] | Current State: 90:[89, 48, 3, 44], Operations: []
Exploring Operation: 89+48=137, Resulting Numbers: [3, 44, 137]
Generated Node #2: [3, 44, 137] from Operation: 89+48=137
Current State: 90:[3, 44, 137], Operations: ['89+48=137']
Exploring Operation: 3+44=47, Resulting Numbers: [137, 47]
Generated Node #3: [137, 47] from Operation: 3+44=47
Current State: 90:[137, 47], Operations: ['89+48=137', '3+44=47']
Exploring Operation: 137-47=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[89, 48, 3, 44], Operations: []
Exploring Operation: 48/3=16, Resulting Numbers: [89, 44, 16]
Generated Node #0,0: 90:[89, 44, 16] Operation: 48/3=16
Exploring Operation: 89-44=45, Resulting Numbers: [48, 3, 45]
Generated Node #0,1: 90:[48, 3, 45] Operation: 89-44=45
Exploring Operation: 48-44=4, Resulting Numbers: [89, 3, 4]
Generated Node #0,2: 90:[89, 3, 4] Operation: 48-44=4
Exploring Operation: 48-3=45, Resulting Numbers: [89, 44, 45]
Generated Node #0,3: 90:[89, 44, 45] Operation: 48-3=45
Moving to Node #0,2
Current State: 90:[89, 3, 4], Operations: ['48-44=4']
Exploring Operation: 3+4=7, Resulting Numbers: [89, 7]
Generated Node #0,2,0: 90:[89, 7] Operation: 3+4=7
Exploring Operation: 4-3=1, Resulting Numbers: [89, 1]
Generated Node #0,2,1: 90:[89, 1] Operation: 4-3=1
Exploring Operation: 89+4=93, Resulting Numbers: [3, 93]
Generated Node #0,2,2: 90:[3, 93] Operation: 89+4=93
Exploring Operation: 89+3=92, Resulting Numbers: [4, 92]
Generated Node #0,2,3: 90:[4, 92] Operation: 89+3=92
Moving to Node #0,3
Current State: 90:[89, 44, 45], Operations: ['48-3=45']
Exploring Operation: 89-44=45, Resulting Numbers: [45, 45]
Generated Node #0,3,0: 90:[45, 45] Operation: 89-44=45
Exploring Operation: 44+45=89, Resulting Numbers: [89, 89]
Generated Node #0,3,1: 90:[89, 89] Operation: 44+45=89
Exploring Operation: 89-45=44, Resulting Numbers: [44, 44]
Generated Node #0,3,2: 90:[44, 44] Operation: 89-45=44
Exploring Operation: 45-44=1, Resulting Numbers: [89, 1]
Generated Node #0,3,3: 90:[89, 1] Operation: 45-44=1
Moving to Node #0,1
Current State: 90:[48, 3, 45], Operations: ['89-44=45']
Exploring Operation: 48+45=93, Resulting Numbers: [3, 93]
Generated Node #0,1,0: 90:[3, 93] Operation: 48+45=93
Exploring Operation: 48-3=45, Resulting Numbers: [45, 45]
Generated Node #0,1,1: 90:[45, 45] Operation: 48-3=45
Exploring Operation: 48-45=3, Resulting Numbers: [3, 3]
Generated Node #0,1,2: 90:[3, 3] Operation: 48-45=3
Exploring Operation: 48/3=16, Resulting Numbers: [45, 16]
Generated Node #0,1,3: 90:[45, 16] Operation: 48/3=16
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[45, 45], Operations: ['89-44=45', '48-3=45']
Exploring Operation: 45*45=2025, Resulting Numbers: [2025]
2025,90 unequal: No Solution
Exploring Operation: 45/45=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 45+45=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[89, 48, 3, 44], Operations: []
Exploring Operation: 89-44=45, Resulting Numbers: [48, 3, 45]
Generated Node #0,1: 90:[48, 3, 45] Operation: 89-44=45
Moving to Node #0,1
Current State: 90:[48, 3, 45], Operations: ['89-44=45']
Exploring Operation: 48-3=45, Resulting Numbers: [45, 45]
Generated Node #0,1,1: 90:[45, 45] Operation: 48-3=45
Moving to Node #0,1,1
Current State: 90:[45, 45], Operations: ['89-44=45', '48-3=45']
Exploring Operation: 45+45=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_4 | sum_heuristic |
[
25,
17,
50,
27
] | 46 | [
"50/25=2",
"17+27=44",
"2+44=46"
] | Current State: 46:[25, 17, 50, 27], Operations: []
Exploring Operation: 50/25=2, Resulting Numbers: [17, 27, 2]
Generated Node #2: [17, 27, 2] from Operation: 50/25=2
Current State: 46:[17, 27, 2], Operations: ['50/25=2']
Exploring Operation: 17+27=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 17+27=44
Current State: 46:[2, 44], Operations: ['50/25=2', '17+27=44']
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[25, 17, 50, 27], Operations: []
Exploring Operation: 27-25=2, Resulting Numbers: [17, 50, 2]
Generated Node #0,0: 46:[17, 50, 2] Operation: 27-25=2
Exploring Operation: 50-27=23, Resulting Numbers: [25, 17, 23]
Generated Node #0,1: 46:[25, 17, 23] Operation: 50-27=23
Exploring Operation: 25+17=42, Resulting Numbers: [50, 27, 42]
Generated Node #0,2: 46:[50, 27, 42] Operation: 25+17=42
Exploring Operation: 17+27=44, Resulting Numbers: [25, 50, 44]
Generated Node #0,3: 46:[25, 50, 44] Operation: 17+27=44
Exploring Operation: 50/25=2, Resulting Numbers: [17, 27, 2]
Generated Node #0,4: 46:[17, 27, 2] Operation: 50/25=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[25, 17, 23], Operations: ['50-27=23']
Exploring Operation: 25-17=8, Resulting Numbers: [23, 8]
Generated Node #0,1,0: 46:[23, 8] Operation: 25-17=8
Exploring Operation: 23-17=6, Resulting Numbers: [25, 6]
Generated Node #0,1,1: 46:[25, 6] Operation: 23-17=6
Exploring Operation: 25+17=42, Resulting Numbers: [23, 42]
Generated Node #0,1,2: 46:[23, 42] Operation: 25+17=42
Exploring Operation: 25-23=2, Resulting Numbers: [17, 2]
Generated Node #0,1,3: 46:[17, 2] Operation: 25-23=2
Exploring Operation: 25+23=48, Resulting Numbers: [17, 48]
Generated Node #0,1,4: 46:[17, 48] Operation: 25+23=48
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 46:[23, 42], Operations: ['50-27=23', '25+17=42']
Exploring Operation: 23+42=65, Resulting Numbers: [65]
65,46 unequal: No Solution
Exploring Operation: 42-23=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Exploring Operation: 23*42=966, Resulting Numbers: [966]
966,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 46:[23, 8], Operations: ['50-27=23', '25-17=8']
Exploring Operation: 23*8=184, Resulting Numbers: [184]
184,46 unequal: No Solution
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 46:[25, 6], Operations: ['50-27=23', '23-17=6']
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,46 unequal: No Solution
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 46:[17, 2], Operations: ['50-27=23', '25-23=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,46 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,46 unequal: No Solution
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 46:[17, 48], Operations: ['50-27=23', '25+23=48']
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Exploring Operation: 17*48=816, Resulting Numbers: [816]
816,46 unequal: No Solution
Exploring Operation: 17+48=65, Resulting Numbers: [65]
65,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 46:[25, 50, 44], Operations: ['17+27=44']
Exploring Operation: 44-25=19, Resulting Numbers: [50, 19]
Generated Node #0,3,0: 46:[50, 19] Operation: 44-25=19
Exploring Operation: 50-25=25, Resulting Numbers: [44, 25]
Generated Node #0,3,1: 46:[44, 25] Operation: 50-25=25
Exploring Operation: 50-44=6, Resulting Numbers: [25, 6]
Generated Node #0,3,2: 46:[25, 6] Operation: 50-44=6
Exploring Operation: 50/25=2, Resulting Numbers: [44, 2]
Generated Node #0,3,3: 46:[44, 2] Operation: 50/25=2
Exploring Operation: 25+44=69, Resulting Numbers: [50, 69]
Generated Node #0,3,4: 46:[50, 69] Operation: 25+44=69
Moving to Node #0,3,3
Current State: 46:[44, 2], Operations: ['17+27=44', '50/25=2']
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[25, 17, 50, 27], Operations: []
Exploring Operation: 17+27=44, Resulting Numbers: [25, 50, 44]
Generated Node #0,3: 46:[25, 50, 44] Operation: 17+27=44
Moving to Node #0,3
Current State: 46:[25, 50, 44], Operations: ['17+27=44']
Exploring Operation: 50/25=2, Resulting Numbers: [44, 2]
Generated Node #0,3,3: 46:[44, 2] Operation: 50/25=2
Moving to Node #0,3,3
Current State: 46:[44, 2], Operations: ['17+27=44', '50/25=2']
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_5 | mult_heuristic |
[
86,
9,
96,
32
] | 83 | [
"9*32=288",
"288/96=3",
"86-3=83"
] | Current State: 83:[86, 9, 96, 32], Operations: []
Exploring Operation: 9*32=288, Resulting Numbers: [86, 96, 288]
Generated Node #2: [86, 96, 288] from Operation: 9*32=288
Current State: 83:[86, 96, 288], Operations: ['9*32=288']
Exploring Operation: 288/96=3, Resulting Numbers: [86, 3]
Generated Node #3: [86, 3] from Operation: 288/96=3
Current State: 83:[86, 3], Operations: ['9*32=288', '288/96=3']
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[86, 9, 96, 32], Operations: []
Exploring Operation: 9+32=41, Resulting Numbers: [86, 96, 41]
Generated Node #0,0: 83:[86, 96, 41] Operation: 9+32=41
Exploring Operation: 96-9=87, Resulting Numbers: [86, 32, 87]
Generated Node #0,1: 83:[86, 32, 87] Operation: 96-9=87
Moving to Node #0,0
Current State: 83:[86, 96, 41], Operations: ['9+32=41']
Exploring Operation: 86-41=45, Resulting Numbers: [96, 45]
Generated Node #0,0,0: 83:[96, 45] Operation: 86-41=45
Exploring Operation: 96-41=55, Resulting Numbers: [86, 55]
Generated Node #0,0,1: 83:[86, 55] Operation: 96-41=55
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 83:[86, 55], Operations: ['9+32=41', '96-41=55']
Exploring Operation: 86+55=141, Resulting Numbers: [141]
141,83 unequal: No Solution
Exploring Operation: 86-55=31, Resulting Numbers: [31]
31,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[96, 45], Operations: ['9+32=41', '86-41=45']
Exploring Operation: 96+45=141, Resulting Numbers: [141]
141,83 unequal: No Solution
Exploring Operation: 96-45=51, Resulting Numbers: [51]
51,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 83:[86, 32, 87], Operations: ['96-9=87']
Exploring Operation: 87-32=55, Resulting Numbers: [86, 55]
Generated Node #0,1,0: 83:[86, 55] Operation: 87-32=55
Exploring Operation: 86-32=54, Resulting Numbers: [87, 54]
Generated Node #0,1,1: 83:[87, 54] Operation: 86-32=54
Moving to Node #0,1,0
Current State: 83:[86, 55], Operations: ['96-9=87', '87-32=55']
Exploring Operation: 86+55=141, Resulting Numbers: [141]
141,83 unequal: No Solution
Exploring Operation: 86-55=31, Resulting Numbers: [31]
31,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[87, 54], Operations: ['96-9=87', '86-32=54']
Exploring Operation: 87+54=141, Resulting Numbers: [141]
141,83 unequal: No Solution
Exploring Operation: 87-54=33, Resulting Numbers: [33]
33,83 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
71,
69,
98,
87
] | 68 | [
"98-69=29",
"87/29=3",
"71-3=68"
] | Current State: 68:[71, 69, 98, 87], Operations: []
Exploring Operation: 98-69=29, Resulting Numbers: [71, 87, 29]
Generated Node #2: [71, 87, 29] from Operation: 98-69=29
Current State: 68:[71, 87, 29], Operations: ['98-69=29']
Exploring Operation: 87/29=3, Resulting Numbers: [71, 3]
Generated Node #3: [71, 3] from Operation: 87/29=3
Current State: 68:[71, 3], Operations: ['98-69=29', '87/29=3']
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[71, 69, 98, 87], Operations: []
Exploring Operation: 98-69=29, Resulting Numbers: [71, 87, 29]
Generated Node #0,0: 68:[71, 87, 29] Operation: 98-69=29
Exploring Operation: 87-71=16, Resulting Numbers: [69, 98, 16]
Generated Node #0,1: 68:[69, 98, 16] Operation: 87-71=16
Exploring Operation: 87-69=18, Resulting Numbers: [71, 98, 18]
Generated Node #0,2: 68:[71, 98, 18] Operation: 87-69=18
Exploring Operation: 98-71=27, Resulting Numbers: [69, 87, 27]
Generated Node #0,3: 68:[69, 87, 27] Operation: 98-71=27
Exploring Operation: 98-87=11, Resulting Numbers: [71, 69, 11]
Generated Node #0,4: 68:[71, 69, 11] Operation: 98-87=11
Moving to Node #0,4
Current State: 68:[71, 69, 11], Operations: ['98-87=11']
Exploring Operation: 69+11=80, Resulting Numbers: [71, 80]
Generated Node #0,4,0: 68:[71, 80] Operation: 69+11=80
Exploring Operation: 69-11=58, Resulting Numbers: [71, 58]
Generated Node #0,4,1: 68:[71, 58] Operation: 69-11=58
Exploring Operation: 71-11=60, Resulting Numbers: [69, 60]
Generated Node #0,4,2: 68:[69, 60] Operation: 71-11=60
Exploring Operation: 71-69=2, Resulting Numbers: [11, 2]
Generated Node #0,4,3: 68:[11, 2] Operation: 71-69=2
Exploring Operation: 71+11=82, Resulting Numbers: [69, 82]
Generated Node #0,4,4: 68:[69, 82] Operation: 71+11=82
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 68:[11, 2], Operations: ['98-87=11', '71-69=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,68 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,68 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,68 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 #0,4,2
Current State: 68:[69, 60], Operations: ['98-87=11', '71-11=60']
Exploring Operation: 69*60=4140, Resulting Numbers: [4140]
4140,68 unequal: No Solution
Exploring Operation: 69+60=129, Resulting Numbers: [129]
129,68 unequal: No Solution
Exploring Operation: 69-60=9, Resulting Numbers: [9]
9,68 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 #0,4,1
Current State: 68:[71, 58], Operations: ['98-87=11', '69-11=58']
Exploring Operation: 71*58=4118, Resulting Numbers: [4118]
4118,68 unequal: No Solution
Exploring Operation: 71+58=129, Resulting Numbers: [129]
129,68 unequal: No Solution
Exploring Operation: 71-58=13, Resulting Numbers: [13]
13,68 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 #0,4,0
Current State: 68:[71, 80], Operations: ['98-87=11', '69+11=80']
Exploring Operation: 80-71=9, Resulting Numbers: [9]
9,68 unequal: No Solution
Exploring Operation: 71*80=5680, Resulting Numbers: [5680]
5680,68 unequal: No Solution
Exploring Operation: 71+80=151, Resulting Numbers: [151]
151,68 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 #0,4,4
Current State: 68:[69, 82], Operations: ['98-87=11', '71+11=82']
Exploring Operation: 82-69=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 69+82=151, Resulting Numbers: [151]
151,68 unequal: No Solution
Exploring Operation: 69*82=5658, Resulting Numbers: [5658]
5658,68 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: 68:[69, 87, 27], Operations: ['98-71=27']
Exploring Operation: 87-27=60, Resulting Numbers: [69, 60]
Generated Node #0,3,0: 68:[69, 60] Operation: 87-27=60
Exploring Operation: 87-69=18, Resulting Numbers: [27, 18]
Generated Node #0,3,1: 68:[27, 18] Operation: 87-69=18
Exploring Operation: 69+27=96, Resulting Numbers: [87, 96]
Generated Node #0,3,2: 68:[87, 96] Operation: 69+27=96
Exploring Operation: 69-27=42, Resulting Numbers: [87, 42]
Generated Node #0,3,3: 68:[87, 42] Operation: 69-27=42
Exploring Operation: 87+27=114, Resulting Numbers: [69, 114]
Generated Node #0,3,4: 68:[69, 114] Operation: 87+27=114
Moving to Node #0,0
Current State: 68:[71, 87, 29], Operations: ['98-69=29']
Exploring Operation: 87-71=16, Resulting Numbers: [29, 16]
Generated Node #0,0,0: 68:[29, 16] Operation: 87-71=16
Exploring Operation: 71+29=100, Resulting Numbers: [87, 100]
Generated Node #0,0,1: 68:[87, 100] Operation: 71+29=100
Exploring Operation: 87-29=58, Resulting Numbers: [71, 58]
Generated Node #0,0,2: 68:[71, 58] Operation: 87-29=58
Exploring Operation: 71-29=42, Resulting Numbers: [87, 42]
Generated Node #0,0,3: 68:[87, 42] Operation: 71-29=42
Exploring Operation: 87/29=3, Resulting Numbers: [71, 3]
Generated Node #0,0,4: 68:[71, 3] Operation: 87/29=3
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 68:[71, 3], Operations: ['98-69=29', '87/29=3']
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,68 unequal: No Solution
Exploring Operation: 71*3=213, Resulting Numbers: [213]
213,68 unequal: No Solution
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[71, 69, 98, 87], Operations: []
Exploring Operation: 98-69=29, Resulting Numbers: [71, 87, 29]
Generated Node #0,0: 68:[71, 87, 29] Operation: 98-69=29
Moving to Node #0,0
Current State: 68:[71, 87, 29], Operations: ['98-69=29']
Exploring Operation: 87/29=3, Resulting Numbers: [71, 3]
Generated Node #0,0,4: 68:[71, 3] Operation: 87/29=3
Moving to Node #0,0,4
Current State: 68:[71, 3], Operations: ['98-69=29', '87/29=3']
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | mult_heuristic |
[
66,
12,
13,
8
] | 26 | [
"66+12=78",
"13*8=104",
"104-78=26"
] | Current State: 26:[66, 12, 13, 8], Operations: []
Exploring Operation: 66+12=78, Resulting Numbers: [13, 8, 78]
Generated Node #2: [13, 8, 78] from Operation: 66+12=78
Current State: 26:[13, 8, 78], Operations: ['66+12=78']
Exploring Operation: 13*8=104, Resulting Numbers: [78, 104]
Generated Node #3: [78, 104] from Operation: 13*8=104
Current State: 26:[78, 104], Operations: ['66+12=78', '13*8=104']
Exploring Operation: 104-78=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[66, 12, 13, 8], Operations: []
Exploring Operation: 66-12=54, Resulting Numbers: [13, 8, 54]
Generated Node #0,0: 26:[13, 8, 54] Operation: 66-12=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[13, 8, 54], Operations: ['66-12=54']
Exploring Operation: 54-13=41, Resulting Numbers: [8, 41]
Generated Node #0,0,0: 26:[8, 41] Operation: 54-13=41
Moving to Node #0,0,0
Current State: 26:[8, 41], Operations: ['66-12=54', '54-13=41']
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
2,
74,
32,
1
] | 21 | [
"2*1=2",
"74-32=42",
"42/2=21"
] | Current State: 21:[2, 74, 32, 1], Operations: []
Exploring Operation: 2*1=2, Resulting Numbers: [74, 32, 2]
Generated Node #2: [74, 32, 2] from Operation: 2*1=2
Current State: 21:[74, 32, 2], Operations: ['2*1=2']
Exploring Operation: 74-32=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 74-32=42
Current State: 21:[2, 42], Operations: ['2*1=2', '74-32=42']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[2, 74, 32, 1], Operations: []
Exploring Operation: 74/2=37, Resulting Numbers: [32, 1, 37]
Generated Node #0,0: 21:[32, 1, 37] Operation: 74/2=37
Exploring Operation: 74-32=42, Resulting Numbers: [2, 1, 42]
Generated Node #0,1: 21:[2, 1, 42] Operation: 74-32=42
Moving to Node #0,1
Current State: 21:[2, 1, 42], Operations: ['74-32=42']
Exploring Operation: 2+1=3, Resulting Numbers: [42, 3]
Generated Node #0,1,0: 21:[42, 3] Operation: 2+1=3
Exploring Operation: 42/2=21, Resulting Numbers: [1, 21]
Generated Node #0,1,1: 21:[1, 21] Operation: 42/2=21
Moving to Node #0,0
Current State: 21:[32, 1, 37], Operations: ['74/2=37']
Exploring Operation: 32-1=31, Resulting Numbers: [37, 31]
Generated Node #0,0,0: 21:[37, 31] Operation: 32-1=31
Exploring Operation: 37-32=5, Resulting Numbers: [1, 5]
Generated Node #0,0,1: 21:[1, 5] Operation: 37-32=5
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 21:[1, 5], Operations: ['74/2=37', '37-32=5']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 1+5=6, Resulting Numbers: [6]
6,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 21:[37, 31], Operations: ['74/2=37', '32-1=31']
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,21 unequal: No Solution
Exploring Operation: 37+31=68, Resulting Numbers: [68]
68,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 21:[1, 21], Operations: ['74-32=42', '42/2=21']
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[2, 74, 32, 1], Operations: []
Exploring Operation: 74-32=42, Resulting Numbers: [2, 1, 42]
Generated Node #0,1: 21:[2, 1, 42] Operation: 74-32=42
Moving to Node #0,1
Current State: 21:[2, 1, 42], Operations: ['74-32=42']
Exploring Operation: 42/2=21, Resulting Numbers: [1, 21]
Generated Node #0,1,1: 21:[1, 21] Operation: 42/2=21
Moving to Node #0,1,1
Current State: 21:[1, 21], Operations: ['74-32=42', '42/2=21']
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
12,
46,
20,
26
] | 52 | [
"12+46=58",
"26-20=6",
"58-6=52"
] | Current State: 52:[12, 46, 20, 26], Operations: []
Exploring Operation: 12+46=58, Resulting Numbers: [20, 26, 58]
Generated Node #2: [20, 26, 58] from Operation: 12+46=58
Current State: 52:[20, 26, 58], Operations: ['12+46=58']
Exploring Operation: 26-20=6, Resulting Numbers: [58, 6]
Generated Node #3: [58, 6] from Operation: 26-20=6
Current State: 52:[58, 6], Operations: ['12+46=58', '26-20=6']
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[12, 46, 20, 26], Operations: []
Exploring Operation: 26-20=6, Resulting Numbers: [12, 46, 6]
Generated Node #0,0: 52:[12, 46, 6] Operation: 26-20=6
Exploring Operation: 46-20=26, Resulting Numbers: [12, 26, 26]
Generated Node #0,1: 52:[12, 26, 26] Operation: 46-20=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[12, 26, 26], Operations: ['46-20=26']
Exploring Operation: 26-12=14, Resulting Numbers: [26, 14]
Generated Node #0,1,0: 52:[26, 14] Operation: 26-12=14
Exploring Operation: 26-12=14, Resulting Numbers: [26, 14]
Generated Node #0,1,1: 52:[26, 14] Operation: 26-12=14
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 52:[26, 14], Operations: ['46-20=26', '26-12=14']
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,52 unequal: No Solution
Exploring Operation: 26+14=40, Resulting Numbers: [40]
40,52 unequal: No Solution
No 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: 52:[26, 14], Operations: ['46-20=26', '26-12=14']
Exploring Operation: 26+14=40, Resulting Numbers: [40]
40,52 unequal: No Solution
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,52 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: 52:[12, 46, 6], Operations: ['26-20=6']
Exploring Operation: 12/6=2, Resulting Numbers: [46, 2]
Generated Node #0,0,0: 52:[46, 2] Operation: 12/6=2
Exploring Operation: 46+6=52, Resulting Numbers: [12, 52]
Generated Node #0,0,1: 52:[12, 52] Operation: 46+6=52
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 52:[12, 52], Operations: ['26-20=6', '46+6=52']
Exploring Operation: 12+52=64, Resulting Numbers: [64]
64,52 unequal: No Solution
Exploring Operation: 52-12=40, Resulting Numbers: [40]
40,52 unequal: No Solution
No 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: 52:[46, 2], Operations: ['26-20=6', '12/6=2']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,52 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 |
[
78,
76,
79,
52
] | 23 | [
"78+76=154",
"79+52=131",
"154-131=23"
] | Current State: 23:[78, 76, 79, 52], Operations: []
Exploring Operation: 78+76=154, Resulting Numbers: [79, 52, 154]
Generated Node #2: [79, 52, 154] from Operation: 78+76=154
Current State: 23:[79, 52, 154], Operations: ['78+76=154']
Exploring Operation: 79+52=131, Resulting Numbers: [154, 131]
Generated Node #3: [154, 131] from Operation: 79+52=131
Current State: 23:[154, 131], Operations: ['78+76=154', '79+52=131']
Exploring Operation: 154-131=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[78, 76, 79, 52], Operations: []
Exploring Operation: 78-52=26, Resulting Numbers: [76, 79, 26]
Generated Node #0,0: 23:[76, 79, 26] Operation: 78-52=26
Exploring Operation: 78-76=2, Resulting Numbers: [79, 52, 2]
Generated Node #0,1: 23:[79, 52, 2] Operation: 78-76=2
Exploring Operation: 79-78=1, Resulting Numbers: [76, 52, 1]
Generated Node #0,2: 23:[76, 52, 1] Operation: 79-78=1
Exploring Operation: 79-76=3, Resulting Numbers: [78, 52, 3]
Generated Node #0,3: 23:[78, 52, 3] Operation: 79-76=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 23:[76, 52, 1], Operations: ['79-78=1']
Exploring Operation: 52-1=51, Resulting Numbers: [76, 51]
Generated Node #0,2,0: 23:[76, 51] Operation: 52-1=51
Exploring Operation: 76-52=24, Resulting Numbers: [1, 24]
Generated Node #0,2,1: 23:[1, 24] Operation: 76-52=24
Exploring Operation: 76-1=75, Resulting Numbers: [52, 75]
Generated Node #0,2,2: 23:[52, 75] Operation: 76-1=75
Exploring Operation: 76*1=76, Resulting Numbers: [52, 76]
Generated Node #0,2,3: 23:[52, 76] Operation: 76*1=76
Moving to Node #0,2,1
Current State: 23:[1, 24], Operations: ['79-78=1', '76-52=24']
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,23 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[78, 76, 79, 52], Operations: []
Exploring Operation: 79-78=1, Resulting Numbers: [76, 52, 1]
Generated Node #0,2: 23:[76, 52, 1] Operation: 79-78=1
Moving to Node #0,2
Current State: 23:[76, 52, 1], Operations: ['79-78=1']
Exploring Operation: 76-52=24, Resulting Numbers: [1, 24]
Generated Node #0,2,1: 23:[1, 24] Operation: 76-52=24
Moving to Node #0,2,1
Current State: 23:[1, 24], Operations: ['79-78=1', '76-52=24']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
12,
94,
6,
3
] | 94 | [
"12/6=2",
"3-2=1",
"94*1=94"
] | Current State: 94:[12, 94, 6, 3], Operations: []
Exploring Operation: 12/6=2, Resulting Numbers: [94, 3, 2]
Generated Node #2: [94, 3, 2] from Operation: 12/6=2
Current State: 94:[94, 3, 2], Operations: ['12/6=2']
Exploring Operation: 3-2=1, Resulting Numbers: [94, 1]
Generated Node #3: [94, 1] from Operation: 3-2=1
Current State: 94:[94, 1], Operations: ['12/6=2', '3-2=1']
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[12, 94, 6, 3], Operations: []
Exploring Operation: 12/3=4, Resulting Numbers: [94, 6, 4]
Generated Node #0,0: 94:[94, 6, 4] Operation: 12/3=4
Exploring Operation: 12-6=6, Resulting Numbers: [94, 3, 6]
Generated Node #0,1: 94:[94, 3, 6] Operation: 12-6=6
Exploring Operation: 12/6=2, Resulting Numbers: [94, 3, 2]
Generated Node #0,2: 94:[94, 3, 2] Operation: 12/6=2
Moving to Node #0,2
Current State: 94:[94, 3, 2], Operations: ['12/6=2']
Exploring Operation: 3-2=1, Resulting Numbers: [94, 1]
Generated Node #0,2,0: 94:[94, 1] Operation: 3-2=1
Exploring Operation: 94+3=97, Resulting Numbers: [2, 97]
Generated Node #0,2,1: 94:[2, 97] Operation: 94+3=97
Exploring Operation: 94/2=47, Resulting Numbers: [3, 47]
Generated Node #0,2,2: 94:[3, 47] Operation: 94/2=47
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 94:[94, 1], Operations: ['12/6=2', '3-2=1']
Exploring Operation: 94/1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[12, 94, 6, 3], Operations: []
Exploring Operation: 12/6=2, Resulting Numbers: [94, 3, 2]
Generated Node #0,2: 94:[94, 3, 2] Operation: 12/6=2
Moving to Node #0,2
Current State: 94:[94, 3, 2], Operations: ['12/6=2']
Exploring Operation: 3-2=1, Resulting Numbers: [94, 1]
Generated Node #0,2,0: 94:[94, 1] Operation: 3-2=1
Moving to Node #0,2,0
Current State: 94:[94, 1], Operations: ['12/6=2', '3-2=1']
Exploring Operation: 94/1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
16,
9,
28,
60
] | 32 | [
"9*60=540",
"540-28=512",
"512/16=32"
] | Current State: 32:[16, 9, 28, 60], Operations: []
Exploring Operation: 9*60=540, Resulting Numbers: [16, 28, 540]
Generated Node #2: [16, 28, 540] from Operation: 9*60=540
Current State: 32:[16, 28, 540], Operations: ['9*60=540']
Exploring Operation: 540-28=512, Resulting Numbers: [16, 512]
Generated Node #3: [16, 512] from Operation: 540-28=512
Current State: 32:[16, 512], Operations: ['9*60=540', '540-28=512']
Exploring Operation: 512/16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[16, 9, 28, 60], Operations: []
Exploring Operation: 60-28=32, Resulting Numbers: [16, 9, 32]
Generated Node #0,0: 32:[16, 9, 32] Operation: 60-28=32
Exploring Operation: 60-9=51, Resulting Numbers: [16, 28, 51]
Generated Node #0,1: 32:[16, 28, 51] Operation: 60-9=51
Exploring Operation: 60-16=44, Resulting Numbers: [9, 28, 44]
Generated Node #0,2: 32:[9, 28, 44] Operation: 60-16=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[16, 9, 32], Operations: ['60-28=32']
Exploring Operation: 16-9=7, Resulting Numbers: [32, 7]
Generated Node #0,0,0: 32:[32, 7] Operation: 16-9=7
Exploring Operation: 32-16=16, Resulting Numbers: [9, 16]
Generated Node #0,0,1: 32:[9, 16] Operation: 32-16=16
Exploring Operation: 32/16=2, Resulting Numbers: [9, 2]
Generated Node #0,0,2: 32:[9, 2] Operation: 32/16=2
Moving to Node #0,0,0
Current State: 32:[32, 7], Operations: ['60-28=32', '16-9=7']
Exploring Operation: 32*7=224, Resulting Numbers: [224]
224,32 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,32 unequal: No Solution
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,32 unequal: No Solution
Moving to Node #0,0,1
Current State: 32:[9, 16], Operations: ['60-28=32', '32-16=16']
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Exploring Operation: 9*16=144, Resulting Numbers: [144]
144,32 unequal: No Solution
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,32 unequal: No Solution
Moving to Node #0,0,2
Current State: 32:[9, 2], Operations: ['60-28=32', '32/16=2']
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,32 unequal: No Solution
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,32 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 32:[9, 28, 44], Operations: ['60-16=44']
Exploring Operation: 44-9=35, Resulting Numbers: [28, 35]
Generated Node #0,2,0: 32:[28, 35] Operation: 44-9=35
Exploring Operation: 28-9=19, Resulting Numbers: [44, 19]
Generated Node #0,2,1: 32:[44, 19] Operation: 28-9=19
Exploring Operation: 44-28=16, Resulting Numbers: [9, 16]
Generated Node #0,2,2: 32:[9, 16] Operation: 44-28=16
Moving to Node #0,2,2
Current State: 32:[9, 16], Operations: ['60-16=44', '44-28=16']
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,32 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Exploring Operation: 9*16=144, Resulting Numbers: [144]
144,32 unequal: No Solution
Moving to Node #0,2,0
Current State: 32:[28, 35], Operations: ['60-16=44', '44-9=35']
Exploring Operation: 35-28=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Exploring Operation: 28+35=63, Resulting Numbers: [63]
63,32 unequal: No Solution
Exploring Operation: 28*35=980, Resulting Numbers: [980]
980,32 unequal: No Solution
Moving to Node #0,2,1
Current State: 32:[44, 19], Operations: ['60-16=44', '28-9=19']
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,32 unequal: No Solution
Exploring Operation: 44+19=63, Resulting Numbers: [63]
63,32 unequal: No Solution
Exploring Operation: 44*19=836, Resulting Numbers: [836]
836,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[16, 28, 51], Operations: ['60-9=51']
Exploring Operation: 51-16=35, Resulting Numbers: [28, 35]
Generated Node #0,1,0: 32:[28, 35] Operation: 51-16=35
Exploring Operation: 28-16=12, Resulting Numbers: [51, 12]
Generated Node #0,1,1: 32:[51, 12] Operation: 28-16=12
Exploring Operation: 51-28=23, Resulting Numbers: [16, 23]
Generated Node #0,1,2: 32:[16, 23] Operation: 51-28=23
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 32:[28, 35], Operations: ['60-9=51', '51-16=35']
Exploring Operation: 28*35=980, Resulting Numbers: [980]
980,32 unequal: No Solution
Exploring Operation: 28+35=63, Resulting Numbers: [63]
63,32 unequal: No Solution
Exploring Operation: 35-28=7, Resulting Numbers: [7]
7,32 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 #0,1,2
Current State: 32:[16, 23], Operations: ['60-9=51', '51-28=23']
Exploring Operation: 16+23=39, Resulting Numbers: [39]
39,32 unequal: No Solution
Exploring Operation: 16*23=368, Resulting Numbers: [368]
368,32 unequal: No Solution
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,32 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 #0,1,1
Current State: 32:[51, 12], Operations: ['60-9=51', '28-16=12']
Exploring Operation: 51*12=612, Resulting Numbers: [612]
612,32 unequal: No Solution
Exploring Operation: 51+12=63, Resulting Numbers: [63]
63,32 unequal: No Solution
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,32 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_3 | sum_heuristic |
[
42,
48,
85,
34
] | 45 | [
"48-42=6",
"85-34=51",
"51-6=45"
] | Current State: 45:[42, 48, 85, 34], Operations: []
Exploring Operation: 48-42=6, Resulting Numbers: [85, 34, 6]
Generated Node #2: [85, 34, 6] from Operation: 48-42=6
Current State: 45:[85, 34, 6], Operations: ['48-42=6']
Exploring Operation: 85-34=51, Resulting Numbers: [6, 51]
Generated Node #3: [6, 51] from Operation: 85-34=51
Current State: 45:[6, 51], Operations: ['48-42=6', '85-34=51']
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[42, 48, 85, 34], Operations: []
Exploring Operation: 42-34=8, Resulting Numbers: [48, 85, 8]
Generated Node #0,0: 45:[48, 85, 8] Operation: 42-34=8
Exploring Operation: 85-42=43, Resulting Numbers: [48, 34, 43]
Generated Node #0,1: 45:[48, 34, 43] Operation: 85-42=43
Exploring Operation: 85-34=51, Resulting Numbers: [42, 48, 51]
Generated Node #0,2: 45:[42, 48, 51] Operation: 85-34=51
Exploring Operation: 85-48=37, Resulting Numbers: [42, 34, 37]
Generated Node #0,3: 45:[42, 34, 37] Operation: 85-48=37
Moving to Node #0,2
Current State: 45:[42, 48, 51], Operations: ['85-34=51']
Exploring Operation: 51-48=3, Resulting Numbers: [42, 3]
Generated Node #0,2,0: 45:[42, 3] Operation: 51-48=3
Exploring Operation: 48-42=6, Resulting Numbers: [51, 6]
Generated Node #0,2,1: 45:[51, 6] Operation: 48-42=6
Exploring Operation: 42+48=90, Resulting Numbers: [51, 90]
Generated Node #0,2,2: 45:[51, 90] Operation: 42+48=90
Exploring Operation: 51-42=9, Resulting Numbers: [48, 9]
Generated Node #0,2,3: 45:[48, 9] Operation: 51-42=9
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 45:[42, 3], Operations: ['85-34=51', '51-48=3']
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[42, 48, 85, 34], Operations: []
Exploring Operation: 85-34=51, Resulting Numbers: [42, 48, 51]
Generated Node #0,2: 45:[42, 48, 51] Operation: 85-34=51
Moving to Node #0,2
Current State: 45:[42, 48, 51], Operations: ['85-34=51']
Exploring Operation: 51-48=3, Resulting Numbers: [42, 3]
Generated Node #0,2,0: 45:[42, 3] Operation: 51-48=3
Moving to Node #0,2,0
Current State: 45:[42, 3], Operations: ['85-34=51', '51-48=3']
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
3,
67,
28,
83
] | 47 | [
"67-3=64",
"28+83=111",
"111-64=47"
] | Current State: 47:[3, 67, 28, 83], Operations: []
Exploring Operation: 67-3=64, Resulting Numbers: [28, 83, 64]
Generated Node #2: [28, 83, 64] from Operation: 67-3=64
Current State: 47:[28, 83, 64], Operations: ['67-3=64']
Exploring Operation: 28+83=111, Resulting Numbers: [64, 111]
Generated Node #3: [64, 111] from Operation: 28+83=111
Current State: 47:[64, 111], Operations: ['67-3=64', '28+83=111']
Exploring Operation: 111-64=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[3, 67, 28, 83], Operations: []
Exploring Operation: 67-3=64, Resulting Numbers: [28, 83, 64]
Generated Node #0,0: 47:[28, 83, 64] Operation: 67-3=64
Exploring Operation: 3+28=31, Resulting Numbers: [67, 83, 31]
Generated Node #0,1: 47:[67, 83, 31] Operation: 3+28=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[28, 83, 64], Operations: ['67-3=64']
Exploring Operation: 64-28=36, Resulting Numbers: [83, 36]
Generated Node #0,0,0: 47:[83, 36] Operation: 64-28=36
Exploring Operation: 83-28=55, Resulting Numbers: [64, 55]
Generated Node #0,0,1: 47:[64, 55] Operation: 83-28=55
Moving to Node #0,0,1
Current State: 47:[64, 55], Operations: ['67-3=64', '83-28=55']
Exploring Operation: 64-55=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 64+55=119, Resulting Numbers: [119]
119,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[83, 36], Operations: ['67-3=64', '64-28=36']
Exploring Operation: 83+36=119, Resulting Numbers: [119]
119,47 unequal: No Solution
Exploring Operation: 83-36=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[3, 67, 28, 83], Operations: []
Exploring Operation: 67-3=64, Resulting Numbers: [28, 83, 64]
Generated Node #0,0: 47:[28, 83, 64] Operation: 67-3=64
Moving to Node #0,0
Current State: 47:[28, 83, 64], Operations: ['67-3=64']
Exploring Operation: 64-28=36, Resulting Numbers: [83, 36]
Generated Node #0,0,0: 47:[83, 36] Operation: 64-28=36
Moving to Node #0,0,0
Current State: 47:[83, 36], Operations: ['67-3=64', '64-28=36']
Exploring Operation: 83-36=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
52,
28,
84,
15
] | 21 | [
"28-15=13",
"52/13=4",
"84/4=21"
] | Current State: 21:[52, 28, 84, 15], Operations: []
Exploring Operation: 28-15=13, Resulting Numbers: [52, 84, 13]
Generated Node #2: [52, 84, 13] from Operation: 28-15=13
Current State: 21:[52, 84, 13], Operations: ['28-15=13']
Exploring Operation: 52/13=4, Resulting Numbers: [84, 4]
Generated Node #3: [84, 4] from Operation: 52/13=4
Current State: 21:[84, 4], Operations: ['28-15=13', '52/13=4']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[52, 28, 84, 15], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [52, 15, 3]
Generated Node #0,0: 21:[52, 15, 3] Operation: 84/28=3
Exploring Operation: 84-52=32, Resulting Numbers: [28, 15, 32]
Generated Node #0,1: 21:[28, 15, 32] Operation: 84-52=32
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[28, 15, 32], Operations: ['84-52=32']
Exploring Operation: 32-28=4, Resulting Numbers: [15, 4]
Generated Node #0,1,0: 21:[15, 4] Operation: 32-28=4
Exploring Operation: 32-15=17, Resulting Numbers: [28, 17]
Generated Node #0,1,1: 21:[28, 17] Operation: 32-15=17
Moving to Node #0,1,0
Current State: 21:[15, 4], Operations: ['84-52=32', '32-28=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,21 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,21 unequal: No Solution
Moving to Node #0,1,1
Current State: 21:[28, 17], Operations: ['84-52=32', '32-15=17']
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,21 unequal: No Solution
Exploring Operation: 28+17=45, Resulting Numbers: [45]
45,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[52, 15, 3], Operations: ['84/28=3']
Exploring Operation: 15/3=5, Resulting Numbers: [52, 5]
Generated Node #0,0,0: 21:[52, 5] Operation: 15/3=5
Exploring Operation: 52-15=37, Resulting Numbers: [3, 37]
Generated Node #0,0,1: 21:[3, 37] Operation: 52-15=37
Moving to Node #0,0,1
Current State: 21:[3, 37], Operations: ['84/28=3', '52-15=37']
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,21 unequal: No Solution
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,21 unequal: No Solution
Moving to Node #0,0,0
Current State: 21:[52, 5], Operations: ['84/28=3', '15/3=5']
Exploring Operation: 52+5=57, Resulting Numbers: [57]
57,21 unequal: No Solution
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
2,
59,
85,
31
] | 21 | [
"85-59=26",
"2*26=52",
"52-31=21"
] | Current State: 21:[2, 59, 85, 31], Operations: []
Exploring Operation: 85-59=26, Resulting Numbers: [2, 31, 26]
Generated Node #2: [2, 31, 26] from Operation: 85-59=26
Current State: 21:[2, 31, 26], Operations: ['85-59=26']
Exploring Operation: 2*26=52, Resulting Numbers: [31, 52]
Generated Node #3: [31, 52] from Operation: 2*26=52
Current State: 21:[31, 52], Operations: ['85-59=26', '2*26=52']
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[2, 59, 85, 31], Operations: []
Exploring Operation: 85-59=26, Resulting Numbers: [2, 31, 26]
Generated Node #0,0: 21:[2, 31, 26] Operation: 85-59=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[2, 31, 26], Operations: ['85-59=26']
Exploring Operation: 31-26=5, Resulting Numbers: [2, 5]
Generated Node #0,0,0: 21:[2, 5] Operation: 31-26=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 21:[2, 5], Operations: ['85-59=26', '31-26=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
77,
24,
39,
27
] | 67 | [
"77*24=1848",
"1848-39=1809",
"1809/27=67"
] | Current State: 67:[77, 24, 39, 27], Operations: []
Exploring Operation: 77*24=1848, Resulting Numbers: [39, 27, 1848]
Generated Node #2: [39, 27, 1848] from Operation: 77*24=1848
Current State: 67:[39, 27, 1848], Operations: ['77*24=1848']
Exploring Operation: 1848-39=1809, Resulting Numbers: [27, 1809]
Generated Node #3: [27, 1809] from Operation: 1848-39=1809
Current State: 67:[27, 1809], Operations: ['77*24=1848', '1848-39=1809']
Exploring Operation: 1809/27=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[77, 24, 39, 27], Operations: []
Exploring Operation: 24+27=51, Resulting Numbers: [77, 39, 51]
Generated Node #0,0: 67:[77, 39, 51] Operation: 24+27=51
Exploring Operation: 24+39=63, Resulting Numbers: [77, 27, 63]
Generated Node #0,1: 67:[77, 27, 63] Operation: 24+39=63
Moving to Node #0,0
Current State: 67:[77, 39, 51], Operations: ['24+27=51']
Exploring Operation: 77-39=38, Resulting Numbers: [51, 38]
Generated Node #0,0,0: 67:[51, 38] Operation: 77-39=38
Exploring Operation: 39+51=90, Resulting Numbers: [77, 90]
Generated Node #0,0,1: 67:[77, 90] Operation: 39+51=90
Moving to Node #0,1
Current State: 67:[77, 27, 63], Operations: ['24+39=63']
Exploring Operation: 77-27=50, Resulting Numbers: [63, 50]
Generated Node #0,1,0: 67:[63, 50] Operation: 77-27=50
Exploring Operation: 27+63=90, Resulting Numbers: [77, 90]
Generated Node #0,1,1: 67:[77, 90] Operation: 27+63=90
Moving to Node #0,1,0
Current State: 67:[63, 50], Operations: ['24+39=63', '77-27=50']
Exploring Operation: 63-50=13, Resulting Numbers: [13]
13,67 unequal: No Solution
Exploring Operation: 63+50=113, Resulting Numbers: [113]
113,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[77, 90], Operations: ['24+27=51', '39+51=90']
Exploring Operation: 77+90=167, Resulting Numbers: [167]
167,67 unequal: No Solution
Exploring Operation: 90-77=13, Resulting Numbers: [13]
13,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[77, 90], Operations: ['24+39=63', '27+63=90']
Exploring Operation: 77+90=167, Resulting Numbers: [167]
167,67 unequal: No Solution
Exploring Operation: 90-77=13, Resulting Numbers: [13]
13,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[51, 38], Operations: ['24+27=51', '77-39=38']
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,67 unequal: No Solution
Exploring Operation: 51+38=89, Resulting Numbers: [89]
89,67 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
21,
60,
6,
53
] | 22 | [
"21+60=81",
"6+53=59",
"81-59=22"
] | Current State: 22:[21, 60, 6, 53], Operations: []
Exploring Operation: 21+60=81, Resulting Numbers: [6, 53, 81]
Generated Node #2: [6, 53, 81] from Operation: 21+60=81
Current State: 22:[6, 53, 81], Operations: ['21+60=81']
Exploring Operation: 6+53=59, Resulting Numbers: [81, 59]
Generated Node #3: [81, 59] from Operation: 6+53=59
Current State: 22:[81, 59], Operations: ['21+60=81', '6+53=59']
Exploring Operation: 81-59=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[21, 60, 6, 53], Operations: []
Exploring Operation: 60/6=10, Resulting Numbers: [21, 53, 10]
Generated Node #0,0: 22:[21, 53, 10] Operation: 60/6=10
Exploring Operation: 60-53=7, Resulting Numbers: [21, 6, 7]
Generated Node #0,1: 22:[21, 6, 7] Operation: 60-53=7
Exploring Operation: 60-21=39, Resulting Numbers: [6, 53, 39]
Generated Node #0,2: 22:[6, 53, 39] Operation: 60-21=39
Exploring Operation: 60-6=54, Resulting Numbers: [21, 53, 54]
Generated Node #0,3: 22:[21, 53, 54] Operation: 60-6=54
Exploring Operation: 53-21=32, Resulting Numbers: [60, 6, 32]
Generated Node #0,4: 22:[60, 6, 32] Operation: 53-21=32
Moving to Node #0,1
Current State: 22:[21, 6, 7], Operations: ['60-53=7']
Exploring Operation: 21-7=14, Resulting Numbers: [6, 14]
Generated Node #0,1,0: 22:[6, 14] Operation: 21-7=14
Exploring Operation: 6+7=13, Resulting Numbers: [21, 13]
Generated Node #0,1,1: 22:[21, 13] Operation: 6+7=13
Exploring Operation: 21-6=15, Resulting Numbers: [7, 15]
Generated Node #0,1,2: 22:[7, 15] Operation: 21-6=15
Exploring Operation: 7-6=1, Resulting Numbers: [21, 1]
Generated Node #0,1,3: 22:[21, 1] Operation: 7-6=1
Exploring Operation: 21/7=3, Resulting Numbers: [6, 3]
Generated Node #0,1,4: 22:[6, 3] Operation: 21/7=3
Moving to Node #0,0
Current State: 22:[21, 53, 10], Operations: ['60/6=10']
Exploring Operation: 21+10=31, Resulting Numbers: [53, 31]
Generated Node #0,0,0: 22:[53, 31] Operation: 21+10=31
Exploring Operation: 53-10=43, Resulting Numbers: [21, 43]
Generated Node #0,0,1: 22:[21, 43] Operation: 53-10=43
Exploring Operation: 53-21=32, Resulting Numbers: [10, 32]
Generated Node #0,0,2: 22:[10, 32] Operation: 53-21=32
Exploring Operation: 53+10=63, Resulting Numbers: [21, 63]
Generated Node #0,0,3: 22:[21, 63] Operation: 53+10=63
Exploring Operation: 21-10=11, Resulting Numbers: [53, 11]
Generated Node #0,0,4: 22:[53, 11] Operation: 21-10=11
Moving to Node #0,2
Current State: 22:[6, 53, 39], Operations: ['60-21=39']
Exploring Operation: 6+53=59, Resulting Numbers: [39, 59]
Generated Node #0,2,0: 22:[39, 59] Operation: 6+53=59
Exploring Operation: 6+39=45, Resulting Numbers: [53, 45]
Generated Node #0,2,1: 22:[53, 45] Operation: 6+39=45
Exploring Operation: 39-6=33, Resulting Numbers: [53, 33]
Generated Node #0,2,2: 22:[53, 33] Operation: 39-6=33
Exploring Operation: 53-6=47, Resulting Numbers: [39, 47]
Generated Node #0,2,3: 22:[39, 47] Operation: 53-6=47
Exploring Operation: 53-39=14, Resulting Numbers: [6, 14]
Generated Node #0,2,4: 22:[6, 14] Operation: 53-39=14
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 22:[6, 14], Operations: ['60-21=39', '53-39=14']
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,22 unequal: No Solution
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,22 unequal: No Solution
No 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: 22:[53, 33], Operations: ['60-21=39', '39-6=33']
Exploring Operation: 53+33=86, Resulting Numbers: [86]
86,22 unequal: No Solution
Exploring Operation: 53*33=1749, Resulting Numbers: [1749]
1749,22 unequal: No Solution
Exploring Operation: 53-33=20, Resulting Numbers: [20]
20,22 unequal: No Solution
No 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: 22:[39, 47], Operations: ['60-21=39', '53-6=47']
Exploring Operation: 39*47=1833, Resulting Numbers: [1833]
1833,22 unequal: No Solution
Exploring Operation: 47-39=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Exploring Operation: 39+47=86, Resulting Numbers: [86]
86,22 unequal: No Solution
No 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: 22:[39, 59], Operations: ['60-21=39', '6+53=59']
Exploring Operation: 39*59=2301, Resulting Numbers: [2301]
2301,22 unequal: No Solution
Exploring Operation: 59-39=20, Resulting Numbers: [20]
20,22 unequal: No Solution
Exploring Operation: 39+59=98, Resulting Numbers: [98]
98,22 unequal: No Solution
No 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: 22:[53, 45], Operations: ['60-21=39', '6+39=45']
Exploring Operation: 53*45=2385, Resulting Numbers: [2385]
2385,22 unequal: No Solution
Exploring Operation: 53-45=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Exploring Operation: 53+45=98, Resulting Numbers: [98]
98,22 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: 22:[60, 6, 32], Operations: ['53-21=32']
Exploring Operation: 60-6=54, Resulting Numbers: [32, 54]
Generated Node #0,4,0: 22:[32, 54] Operation: 60-6=54
Exploring Operation: 60/6=10, Resulting Numbers: [32, 10]
Generated Node #0,4,1: 22:[32, 10] Operation: 60/6=10
Exploring Operation: 60+6=66, Resulting Numbers: [32, 66]
Generated Node #0,4,2: 22:[32, 66] Operation: 60+6=66
Exploring Operation: 32-6=26, Resulting Numbers: [60, 26]
Generated Node #0,4,3: 22:[60, 26] Operation: 32-6=26
Exploring Operation: 60-32=28, Resulting Numbers: [6, 28]
Generated Node #0,4,4: 22:[6, 28] Operation: 60-32=28
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 22:[6, 28], Operations: ['53-21=32', '60-32=28']
Exploring Operation: 6+28=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Exploring Operation: 6*28=168, Resulting Numbers: [168]
168,22 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[21, 60, 6, 53], Operations: []
Exploring Operation: 53-21=32, Resulting Numbers: [60, 6, 32]
Generated Node #0,4: 22:[60, 6, 32] Operation: 53-21=32
Moving to Node #0,4
Current State: 22:[60, 6, 32], Operations: ['53-21=32']
Exploring Operation: 60-32=28, Resulting Numbers: [6, 28]
Generated Node #0,4,4: 22:[6, 28] Operation: 60-32=28
Moving to Node #0,4,4
Current State: 22:[6, 28], Operations: ['53-21=32', '60-32=28']
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.959201 | hs_5 | mult_heuristic |
[
2,
22,
44,
61
] | 78 | [
"44-22=22",
"61-22=39",
"2*39=78"
] | Current State: 78:[2, 22, 44, 61], Operations: []
Exploring Operation: 44-22=22, Resulting Numbers: [2, 61, 22]
Generated Node #2: [2, 61, 22] from Operation: 44-22=22
Current State: 78:[2, 61, 22], Operations: ['44-22=22']
Exploring Operation: 61-22=39, Resulting Numbers: [2, 39]
Generated Node #3: [2, 39] from Operation: 61-22=39
Current State: 78:[2, 39], Operations: ['44-22=22', '61-22=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[2, 22, 44, 61], Operations: []
Exploring Operation: 61-22=39, Resulting Numbers: [2, 44, 39]
Generated Node #0,0: 78:[2, 44, 39] Operation: 61-22=39
Exploring Operation: 61-44=17, Resulting Numbers: [2, 22, 17]
Generated Node #0,1: 78:[2, 22, 17] Operation: 61-44=17
Exploring Operation: 22+61=83, Resulting Numbers: [2, 44, 83]
Generated Node #0,2: 78:[2, 44, 83] Operation: 22+61=83
Moving to Node #0,0
Current State: 78:[2, 44, 39], Operations: ['61-22=39']
Exploring Operation: 44/2=22, Resulting Numbers: [39, 22]
Generated Node #0,0,0: 78:[39, 22] Operation: 44/2=22
Exploring Operation: 44-39=5, Resulting Numbers: [2, 5]
Generated Node #0,0,1: 78:[2, 5] Operation: 44-39=5
Exploring Operation: 44-2=42, Resulting Numbers: [39, 42]
Generated Node #0,0,2: 78:[39, 42] Operation: 44-2=42
Moving to Node #0,1
Current State: 78:[2, 22, 17], Operations: ['61-44=17']
Exploring Operation: 22-17=5, Resulting Numbers: [2, 5]
Generated Node #0,1,0: 78:[2, 5] Operation: 22-17=5
Exploring Operation: 22+17=39, Resulting Numbers: [2, 39]
Generated Node #0,1,1: 78:[2, 39] Operation: 22+17=39
Exploring Operation: 2+22=24, Resulting Numbers: [17, 24]
Generated Node #0,1,2: 78:[17, 24] Operation: 2+22=24
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 78:[2, 39], Operations: ['61-44=17', '22+17=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[2, 22, 44, 61], Operations: []
Exploring Operation: 61-44=17, Resulting Numbers: [2, 22, 17]
Generated Node #0,1: 78:[2, 22, 17] Operation: 61-44=17
Moving to Node #0,1
Current State: 78:[2, 22, 17], Operations: ['61-44=17']
Exploring Operation: 22+17=39, Resulting Numbers: [2, 39]
Generated Node #0,1,1: 78:[2, 39] Operation: 22+17=39
Moving to Node #0,1,1
Current State: 78:[2, 39], Operations: ['61-44=17', '22+17=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
43,
77,
72,
2
] | 76 | [
"77-43=34",
"72-34=38",
"2*38=76"
] | Current State: 76:[43, 77, 72, 2], Operations: []
Exploring Operation: 77-43=34, Resulting Numbers: [72, 2, 34]
Generated Node #2: [72, 2, 34] from Operation: 77-43=34
Current State: 76:[72, 2, 34], Operations: ['77-43=34']
Exploring Operation: 72-34=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 72-34=38
Current State: 76:[2, 38], Operations: ['77-43=34', '72-34=38']
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[43, 77, 72, 2], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [43, 2, 5]
Generated Node #0,0: 76:[43, 2, 5] Operation: 77-72=5
Moving to Node #0,0
Current State: 76:[43, 2, 5], Operations: ['77-72=5']
Exploring Operation: 43-5=38, Resulting Numbers: [2, 38]
Generated Node #0,0,0: 76:[2, 38] Operation: 43-5=38
Moving to Node #0,0,0
Current State: 76:[2, 38], Operations: ['77-72=5', '43-5=38']
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[43, 77, 72, 2], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [43, 2, 5]
Generated Node #0,0: 76:[43, 2, 5] Operation: 77-72=5
Moving to Node #0,0
Current State: 76:[43, 2, 5], Operations: ['77-72=5']
Exploring Operation: 43-5=38, Resulting Numbers: [2, 38]
Generated Node #0,0,0: 76:[2, 38] Operation: 43-5=38
Moving to Node #0,0,0
Current State: 76:[2, 38], Operations: ['77-72=5', '43-5=38']
Exploring Operation: 2*38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
24,
91,
28,
30
] | 77 | [
"30-24=6",
"28*6=168",
"168-91=77"
] | Current State: 77:[24, 91, 28, 30], Operations: []
Exploring Operation: 30-24=6, Resulting Numbers: [91, 28, 6]
Generated Node #2: [91, 28, 6] from Operation: 30-24=6
Current State: 77:[91, 28, 6], Operations: ['30-24=6']
Exploring Operation: 28*6=168, Resulting Numbers: [91, 168]
Generated Node #3: [91, 168] from Operation: 28*6=168
Current State: 77:[91, 168], Operations: ['30-24=6', '28*6=168']
Exploring Operation: 168-91=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[24, 91, 28, 30], Operations: []
Exploring Operation: 28-24=4, Resulting Numbers: [91, 30, 4]
Generated Node #0,0: 77:[91, 30, 4] Operation: 28-24=4
Exploring Operation: 30-28=2, Resulting Numbers: [24, 91, 2]
Generated Node #0,1: 77:[24, 91, 2] Operation: 30-28=2
Exploring Operation: 30-24=6, Resulting Numbers: [91, 28, 6]
Generated Node #0,2: 77:[91, 28, 6] Operation: 30-24=6
Moving to Node #0,1
Current State: 77:[24, 91, 2], Operations: ['30-28=2']
Exploring Operation: 24/2=12, Resulting Numbers: [91, 12]
Generated Node #0,1,0: 77:[91, 12] Operation: 24/2=12
Exploring Operation: 24-2=22, Resulting Numbers: [91, 22]
Generated Node #0,1,1: 77:[91, 22] Operation: 24-2=22
Exploring Operation: 91-24=67, Resulting Numbers: [2, 67]
Generated Node #0,1,2: 77:[2, 67] Operation: 91-24=67
Moving to Node #0,2
Current State: 77:[91, 28, 6], Operations: ['30-24=6']
Exploring Operation: 28-6=22, Resulting Numbers: [91, 22]
Generated Node #0,2,0: 77:[91, 22] Operation: 28-6=22
Exploring Operation: 91-6=85, Resulting Numbers: [28, 85]
Generated Node #0,2,1: 77:[28, 85] Operation: 91-6=85
Exploring Operation: 91-28=63, Resulting Numbers: [6, 63]
Generated Node #0,2,2: 77:[6, 63] Operation: 91-28=63
Moving to Node #0,0
Current State: 77:[91, 30, 4], Operations: ['28-24=4']
Exploring Operation: 30-4=26, Resulting Numbers: [91, 26]
Generated Node #0,0,0: 77:[91, 26] Operation: 30-4=26
Exploring Operation: 91-4=87, Resulting Numbers: [30, 87]
Generated Node #0,0,1: 77:[30, 87] Operation: 91-4=87
Exploring Operation: 91-30=61, Resulting Numbers: [4, 61]
Generated Node #0,0,2: 77:[4, 61] Operation: 91-30=61
Moving to Node #0,1,0
Current State: 77:[91, 12], Operations: ['30-28=2', '24/2=12']
Exploring Operation: 91+12=103, Resulting Numbers: [103]
103,77 unequal: No Solution
Exploring Operation: 91-12=79, Resulting Numbers: [79]
79,77 unequal: No Solution
Exploring Operation: 91*12=1092, Resulting Numbers: [1092]
1092,77 unequal: No Solution
Moving to Node #0,1,2
Current State: 77:[2, 67], Operations: ['30-28=2', '91-24=67']
Exploring Operation: 2*67=134, Resulting Numbers: [134]
134,77 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,77 unequal: No Solution
Exploring Operation: 2+67=69, Resulting Numbers: [69]
69,77 unequal: No Solution
Moving to Node #0,2,2
Current State: 77:[6, 63], Operations: ['30-24=6', '91-28=63']
Exploring Operation: 6+63=69, Resulting Numbers: [69]
69,77 unequal: No Solution
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,77 unequal: No Solution
Exploring Operation: 6*63=378, Resulting Numbers: [378]
378,77 unequal: No Solution
Moving to Node #0,0,2
Current State: 77:[4, 61], Operations: ['28-24=4', '91-30=61']
Exploring Operation: 4*61=244, Resulting Numbers: [244]
244,77 unequal: No Solution
Exploring Operation: 4+61=65, Resulting Numbers: [65]
65,77 unequal: No Solution
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,77 unequal: No Solution
Moving to Node #0,2,1
Current State: 77:[28, 85], Operations: ['30-24=6', '91-6=85']
Exploring Operation: 28*85=2380, Resulting Numbers: [2380]
2380,77 unequal: No Solution
Exploring Operation: 28+85=113, Resulting Numbers: [113]
113,77 unequal: No Solution
Exploring Operation: 85-28=57, Resulting Numbers: [57]
57,77 unequal: No Solution
Moving to Node #0,1,1
Current State: 77:[91, 22], Operations: ['30-28=2', '24-2=22']
Exploring Operation: 91+22=113, Resulting Numbers: [113]
113,77 unequal: No Solution
Exploring Operation: 91-22=69, Resulting Numbers: [69]
69,77 unequal: No Solution
Exploring Operation: 91*22=2002, Resulting Numbers: [2002]
2002,77 unequal: No Solution
Moving to Node #0,2,0
Current State: 77:[91, 22], Operations: ['30-24=6', '28-6=22']
Exploring Operation: 91+22=113, Resulting Numbers: [113]
113,77 unequal: No Solution
Exploring Operation: 91*22=2002, Resulting Numbers: [2002]
2002,77 unequal: No Solution
Exploring Operation: 91-22=69, Resulting Numbers: [69]
69,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[91, 26], Operations: ['28-24=4', '30-4=26']
Exploring Operation: 91*26=2366, Resulting Numbers: [2366]
2366,77 unequal: No Solution
Exploring Operation: 91-26=65, Resulting Numbers: [65]
65,77 unequal: No Solution
Exploring Operation: 91+26=117, Resulting Numbers: [117]
117,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[30, 87], Operations: ['28-24=4', '91-4=87']
Exploring Operation: 30*87=2610, Resulting Numbers: [2610]
2610,77 unequal: No Solution
Exploring Operation: 30+87=117, Resulting Numbers: [117]
117,77 unequal: No Solution
Exploring Operation: 87-30=57, Resulting Numbers: [57]
57,77 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
46,
56,
63,
23
] | 14 | [
"46/23=2",
"63-56=7",
"2*7=14"
] | Current State: 14:[46, 56, 63, 23], Operations: []
Exploring Operation: 46/23=2, Resulting Numbers: [56, 63, 2]
Generated Node #2: [56, 63, 2] from Operation: 46/23=2
Current State: 14:[56, 63, 2], Operations: ['46/23=2']
Exploring Operation: 63-56=7, Resulting Numbers: [2, 7]
Generated Node #3: [2, 7] from Operation: 63-56=7
Current State: 14:[2, 7], Operations: ['46/23=2', '63-56=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[46, 56, 63, 23], Operations: []
Exploring Operation: 63-56=7, Resulting Numbers: [46, 23, 7]
Generated Node #0,0: 14:[46, 23, 7] Operation: 63-56=7
Moving to Node #0,0
Current State: 14:[46, 23, 7], Operations: ['63-56=7']
Exploring Operation: 46/23=2, Resulting Numbers: [7, 2]
Generated Node #0,0,0: 14:[7, 2] Operation: 46/23=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[7, 2], Operations: ['63-56=7', '46/23=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[46, 56, 63, 23], Operations: []
Exploring Operation: 63-56=7, Resulting Numbers: [46, 23, 7]
Generated Node #0,0: 14:[46, 23, 7] Operation: 63-56=7
Moving to Node #0,0
Current State: 14:[46, 23, 7], Operations: ['63-56=7']
Exploring Operation: 46/23=2, Resulting Numbers: [7, 2]
Generated Node #0,0,0: 14:[7, 2] Operation: 46/23=2
Moving to Node #0,0,0
Current State: 14:[7, 2], Operations: ['63-56=7', '46/23=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
10,
29,
10,
16
] | 89 | [
"16-10=6",
"10*6=60",
"29+60=89"
] | Current State: 89:[10, 29, 10, 16], Operations: []
Exploring Operation: 16-10=6, Resulting Numbers: [29, 6]
Generated Node #2: [29, 6] from Operation: 16-10=6
Current State: 89:[29, 6], Operations: ['16-10=6']
Exploring Operation: 10*6=60, Resulting Numbers: [29, 60]
Generated Node #3: [29, 60] from Operation: 10*6=60
Current State: 89:[29, 60], Operations: ['16-10=6', '10*6=60']
Exploring Operation: 29+60=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[10, 29, 10, 16], Operations: []
Exploring Operation: 10+16=26, Resulting Numbers: [29, 10, 26]
Generated Node #0,0: 89:[29, 10, 26] Operation: 10+16=26
Exploring Operation: 10+10=20, Resulting Numbers: [29, 16, 20]
Generated Node #0,1: 89:[29, 16, 20] Operation: 10+10=20
Exploring Operation: 10*10=100, Resulting Numbers: [29, 16, 100]
Generated Node #0,2: 89:[29, 16, 100] Operation: 10*10=100
Exploring Operation: 29+10=39, Resulting Numbers: [10, 16, 39]
Generated Node #0,3: 89:[10, 16, 39] Operation: 29+10=39
Exploring Operation: 10+29=39, Resulting Numbers: [10, 16, 39]
Generated Node #0,4: 89:[10, 16, 39] Operation: 10+29=39
Moving to Node #0,2
Current State: 89:[29, 16, 100], Operations: ['10*10=100']
Exploring Operation: 100-29=71, Resulting Numbers: [16, 71]
Generated Node #0,2,0: 89:[16, 71] Operation: 100-29=71
Exploring Operation: 29-16=13, Resulting Numbers: [100, 13]
Generated Node #0,2,1: 89:[100, 13] Operation: 29-16=13
Exploring Operation: 16+100=116, Resulting Numbers: [29, 116]
Generated Node #0,2,2: 89:[29, 116] Operation: 16+100=116
Exploring Operation: 29+16=45, Resulting Numbers: [100, 45]
Generated Node #0,2,3: 89:[100, 45] Operation: 29+16=45
Exploring Operation: 100-16=84, Resulting Numbers: [29, 84]
Generated Node #0,2,4: 89:[29, 84] Operation: 100-16=84
Moving to Node #0,1
Current State: 89:[29, 16, 20], Operations: ['10+10=20']
Exploring Operation: 29-16=13, Resulting Numbers: [20, 13]
Generated Node #0,1,0: 89:[20, 13] Operation: 29-16=13
Exploring Operation: 29+16=45, Resulting Numbers: [20, 45]
Generated Node #0,1,1: 89:[20, 45] Operation: 29+16=45
Exploring Operation: 20-16=4, Resulting Numbers: [29, 4]
Generated Node #0,1,2: 89:[29, 4] Operation: 20-16=4
Exploring Operation: 29+20=49, Resulting Numbers: [16, 49]
Generated Node #0,1,3: 89:[16, 49] Operation: 29+20=49
Exploring Operation: 16+20=36, Resulting Numbers: [29, 36]
Generated Node #0,1,4: 89:[29, 36] Operation: 16+20=36
Moving to Node #0,4
Current State: 89:[10, 16, 39], Operations: ['10+29=39']
Exploring Operation: 10+16=26, Resulting Numbers: [39, 26]
Generated Node #0,4,0: 89:[39, 26] Operation: 10+16=26
Exploring Operation: 10+39=49, Resulting Numbers: [16, 49]
Generated Node #0,4,1: 89:[16, 49] Operation: 10+39=49
Exploring Operation: 16-10=6, Resulting Numbers: [39, 6]
Generated Node #0,4,2: 89:[39, 6] Operation: 16-10=6
Exploring Operation: 10*16=160, Resulting Numbers: [39, 160]
Generated Node #0,4,3: 89:[39, 160] Operation: 10*16=160
Exploring Operation: 16+39=55, Resulting Numbers: [10, 55]
Generated Node #0,4,4: 89:[10, 55] Operation: 16+39=55
Moving to Node #0,0
Current State: 89:[29, 10, 26], Operations: ['10+16=26']
Exploring Operation: 29+26=55, Resulting Numbers: [10, 55]
Generated Node #0,0,0: 89:[10, 55] Operation: 29+26=55
Exploring Operation: 26-10=16, Resulting Numbers: [29, 16]
Generated Node #0,0,1: 89:[29, 16] Operation: 26-10=16
Exploring Operation: 29+10=39, Resulting Numbers: [26, 39]
Generated Node #0,0,2: 89:[26, 39] Operation: 29+10=39
Exploring Operation: 29-10=19, Resulting Numbers: [26, 19]
Generated Node #0,0,3: 89:[26, 19] Operation: 29-10=19
Exploring Operation: 10+26=36, Resulting Numbers: [29, 36]
Generated Node #0,0,4: 89:[29, 36] Operation: 10+26=36
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[10, 55], Operations: ['10+16=26', '29+26=55']
Exploring Operation: 55-10=45, Resulting Numbers: [45]
45,89 unequal: No Solution
Exploring Operation: 10*55=550, Resulting Numbers: [550]
550,89 unequal: No Solution
Exploring Operation: 10+55=65, Resulting Numbers: [65]
65,89 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 #0,0,2
Current State: 89:[26, 39], Operations: ['10+16=26', '29+10=39']
Exploring Operation: 26*39=1014, Resulting Numbers: [1014]
1014,89 unequal: No Solution
Exploring Operation: 26+39=65, Resulting Numbers: [65]
65,89 unequal: No Solution
Exploring Operation: 39-26=13, Resulting Numbers: [13]
13,89 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 #0,0,4
Current State: 89:[29, 36], Operations: ['10+16=26', '10+26=36']
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,89 unequal: No Solution
Exploring Operation: 29*36=1044, Resulting Numbers: [1044]
1044,89 unequal: No Solution
Exploring Operation: 29+36=65, Resulting Numbers: [65]
65,89 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 #0,0,1
Current State: 89:[29, 16], Operations: ['10+16=26', '26-10=16']
Exploring Operation: 29*16=464, Resulting Numbers: [464]
464,89 unequal: No Solution
Exploring Operation: 29+16=45, Resulting Numbers: [45]
45,89 unequal: No Solution
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,89 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 #0,0,3
Current State: 89:[26, 19], Operations: ['10+16=26', '29-10=19']
Exploring Operation: 26-19=7, Resulting Numbers: [7]
7,89 unequal: No Solution
Exploring Operation: 26+19=45, Resulting Numbers: [45]
45,89 unequal: No Solution
Exploring Operation: 26*19=494, Resulting Numbers: [494]
494,89 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: 89:[10, 16, 39], Operations: ['29+10=39']
Exploring Operation: 10*16=160, Resulting Numbers: [39, 160]
Generated Node #0,3,0: 89:[39, 160] Operation: 10*16=160
Exploring Operation: 16+39=55, Resulting Numbers: [10, 55]
Generated Node #0,3,1: 89:[10, 55] Operation: 16+39=55
Exploring Operation: 10+16=26, Resulting Numbers: [39, 26]
Generated Node #0,3,2: 89:[39, 26] Operation: 10+16=26
Exploring Operation: 10+39=49, Resulting Numbers: [16, 49]
Generated Node #0,3,3: 89:[16, 49] Operation: 10+39=49
Exploring Operation: 16-10=6, Resulting Numbers: [39, 6]
Generated Node #0,3,4: 89:[39, 6] Operation: 16-10=6
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 89:[10, 55], Operations: ['29+10=39', '16+39=55']
Exploring Operation: 10+55=65, Resulting Numbers: [65]
65,89 unequal: No Solution
Exploring Operation: 10*55=550, Resulting Numbers: [550]
550,89 unequal: No Solution
Exploring Operation: 55-10=45, Resulting Numbers: [45]
45,89 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 #0,3,2
Current State: 89:[39, 26], Operations: ['29+10=39', '10+16=26']
Exploring Operation: 39+26=65, Resulting Numbers: [65]
65,89 unequal: No Solution
Exploring Operation: 39-26=13, Resulting Numbers: [13]
13,89 unequal: No Solution
Exploring Operation: 39*26=1014, Resulting Numbers: [1014]
1014,89 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 #0,3,3
Current State: 89:[16, 49], Operations: ['29+10=39', '10+39=49']
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 16*49=784, Resulting Numbers: [784]
784,89 unequal: No Solution
Exploring Operation: 16+49=65, Resulting Numbers: [65]
65,89 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 #0,3,0
Current State: 89:[39, 160], Operations: ['29+10=39', '10*16=160']
Exploring Operation: 160-39=121, Resulting Numbers: [121]
121,89 unequal: No Solution
Exploring Operation: 39+160=199, Resulting Numbers: [199]
199,89 unequal: No Solution
Exploring Operation: 39*160=6240, Resulting Numbers: [6240]
6240,89 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 #0,3,4
Current State: 89:[39, 6], Operations: ['29+10=39', '16-10=6']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 39*6=234, Resulting Numbers: [234]
234,89 unequal: No Solution
Exploring Operation: 39+6=45, Resulting Numbers: [45]
45,89 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: 89:[100, 45], Operations: ['10*10=100', '29+16=45']
Exploring Operation: 100-45=55, Resulting Numbers: [55]
55,89 unequal: No Solution
Exploring Operation: 100+45=145, Resulting Numbers: [145]
145,89 unequal: No Solution
Exploring Operation: 100*45=4500, Resulting Numbers: [4500]
4500,89 unequal: No Solution
Moving to Node #0,2,4
Current State: 89:[29, 84], Operations: ['10*10=100', '100-16=84']
Exploring Operation: 84-29=55, Resulting Numbers: [55]
55,89 unequal: No Solution
Exploring Operation: 29+84=113, Resulting Numbers: [113]
113,89 unequal: No Solution
Exploring Operation: 29*84=2436, Resulting Numbers: [2436]
2436,89 unequal: No Solution
Moving to Node #0,2,1
Current State: 89:[100, 13], Operations: ['10*10=100', '29-16=13']
Exploring Operation: 100*13=1300, Resulting Numbers: [1300]
1300,89 unequal: No Solution
Exploring Operation: 100+13=113, Resulting Numbers: [113]
113,89 unequal: No Solution
Exploring Operation: 100-13=87, Resulting Numbers: [87]
87,89 unequal: No Solution
Moving to Node #0,2,2
Current State: 89:[29, 116], Operations: ['10*10=100', '16+100=116']
Exploring Operation: 116-29=87, Resulting Numbers: [87]
87,89 unequal: No Solution
Exploring Operation: 29*116=3364, Resulting Numbers: [3364]
3364,89 unequal: No Solution
Exploring Operation: 116/29=4, Resulting Numbers: [4]
4,89 unequal: No Solution
Exploring Operation: 29+116=145, Resulting Numbers: [145]
145,89 unequal: No Solution
Moving to Node #0,2,0
Current State: 89:[16, 71], Operations: ['10*10=100', '100-29=71']
Exploring Operation: 71-16=55, Resulting Numbers: [55]
55,89 unequal: No Solution
Exploring Operation: 16*71=1136, Resulting Numbers: [1136]
1136,89 unequal: No Solution
Exploring Operation: 16+71=87, Resulting Numbers: [87]
87,89 unequal: No Solution
Moving to Node #0,1,3
Current State: 89:[16, 49], Operations: ['10+10=20', '29+20=49']
Exploring Operation: 16*49=784, Resulting Numbers: [784]
784,89 unequal: No Solution
Exploring Operation: 16+49=65, Resulting Numbers: [65]
65,89 unequal: No Solution
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[20, 45], Operations: ['10+10=20', '29+16=45']
Exploring Operation: 20*45=900, Resulting Numbers: [900]
900,89 unequal: No Solution
Exploring Operation: 45-20=25, Resulting Numbers: [25]
25,89 unequal: No Solution
Exploring Operation: 20+45=65, Resulting Numbers: [65]
65,89 unequal: No Solution
Moving to Node #0,4,1
Current State: 89:[16, 49], Operations: ['10+29=39', '10+39=49']
Exploring Operation: 16*49=784, Resulting Numbers: [784]
784,89 unequal: No Solution
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 16+49=65, Resulting Numbers: [65]
65,89 unequal: No Solution
Moving to Node #0,4,0
Current State: 89:[39, 26], Operations: ['10+29=39', '10+16=26']
Exploring Operation: 39*26=1014, Resulting Numbers: [1014]
1014,89 unequal: No Solution
Exploring Operation: 39-26=13, Resulting Numbers: [13]
13,89 unequal: No Solution
Exploring Operation: 39+26=65, Resulting Numbers: [65]
65,89 unequal: No Solution
Moving to Node #0,4,4
Current State: 89:[10, 55], Operations: ['10+29=39', '16+39=55']
Exploring Operation: 55-10=45, Resulting Numbers: [45]
45,89 unequal: No Solution
Exploring Operation: 10+55=65, Resulting Numbers: [65]
65,89 unequal: No Solution
Exploring Operation: 10*55=550, Resulting Numbers: [550]
550,89 unequal: No Solution
Moving to Node #0,1,4
Current State: 89:[29, 36], Operations: ['10+10=20', '16+20=36']
Exploring Operation: 29+36=65, Resulting Numbers: [65]
65,89 unequal: No Solution
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,89 unequal: No Solution
Exploring Operation: 29*36=1044, Resulting Numbers: [1044]
1044,89 unequal: No Solution
Moving to Node #0,4,3
Current State: 89:[39, 160], Operations: ['10+29=39', '10*16=160']
Exploring Operation: 39*160=6240, Resulting Numbers: [6240]
6240,89 unequal: No Solution
Exploring Operation: 39+160=199, Resulting Numbers: [199]
199,89 unequal: No Solution
Exploring Operation: 160-39=121, Resulting Numbers: [121]
121,89 unequal: No Solution
Moving to Node #0,4,2
Current State: 89:[39, 6], Operations: ['10+29=39', '16-10=6']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 39*6=234, Resulting Numbers: [234]
234,89 unequal: No Solution
Exploring Operation: 39+6=45, Resulting Numbers: [45]
45,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[20, 13], Operations: ['10+10=20', '29-16=13']
Exploring Operation: 20+13=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 20*13=260, Resulting Numbers: [260]
260,89 unequal: No Solution
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,89 unequal: No Solution
Moving to Node #0,1,2
Current State: 89:[29, 4], Operations: ['10+10=20', '20-16=4']
Exploring Operation: 29*4=116, Resulting Numbers: [116]
116,89 unequal: No Solution
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,89 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
45,
32,
73,
79
] | 83 | [
"45+32=77",
"79-73=6",
"77+6=83"
] | Current State: 83:[45, 32, 73, 79], Operations: []
Exploring Operation: 45+32=77, Resulting Numbers: [73, 79, 77]
Generated Node #2: [73, 79, 77] from Operation: 45+32=77
Current State: 83:[73, 79, 77], Operations: ['45+32=77']
Exploring Operation: 79-73=6, Resulting Numbers: [77, 6]
Generated Node #3: [77, 6] from Operation: 79-73=6
Current State: 83:[77, 6], Operations: ['45+32=77', '79-73=6']
Exploring Operation: 77+6=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[45, 32, 73, 79], Operations: []
Exploring Operation: 45+32=77, Resulting Numbers: [73, 79, 77]
Generated Node #0,0: 83:[73, 79, 77] Operation: 45+32=77
Moving to Node #0,0
Current State: 83:[73, 79, 77], Operations: ['45+32=77']
Exploring Operation: 73+77=150, Resulting Numbers: [79, 150]
Generated Node #0,0,0: 83:[79, 150] Operation: 73+77=150
Moving to Node #0,0,0
Current State: 83:[79, 150], Operations: ['45+32=77', '73+77=150']
Exploring Operation: 150-79=71, Resulting Numbers: [71]
71,83 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
14,
66,
42,
26
] | 28 | [
"66-42=24",
"26-24=2",
"14*2=28"
] | Current State: 28:[14, 66, 42, 26], Operations: []
Exploring Operation: 66-42=24, Resulting Numbers: [14, 26, 24]
Generated Node #2: [14, 26, 24] from Operation: 66-42=24
Current State: 28:[14, 26, 24], Operations: ['66-42=24']
Exploring Operation: 26-24=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 26-24=2
Current State: 28:[14, 2], Operations: ['66-42=24', '26-24=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[14, 66, 42, 26], Operations: []
Exploring Operation: 66-42=24, Resulting Numbers: [14, 26, 24]
Generated Node #0,0: 28:[14, 26, 24] Operation: 66-42=24
Exploring Operation: 66-26=40, Resulting Numbers: [14, 42, 40]
Generated Node #0,1: 28:[14, 42, 40] Operation: 66-26=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[14, 26, 24], Operations: ['66-42=24']
Exploring Operation: 26-24=2, Resulting Numbers: [14, 2]
Generated Node #0,0,0: 28:[14, 2] Operation: 26-24=2
Exploring Operation: 24-14=10, Resulting Numbers: [26, 10]
Generated Node #0,0,1: 28:[26, 10] Operation: 24-14=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 28:[14, 2], Operations: ['66-42=24', '26-24=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[14, 66, 42, 26], Operations: []
Exploring Operation: 66-42=24, Resulting Numbers: [14, 26, 24]
Generated Node #0,0: 28:[14, 26, 24] Operation: 66-42=24
Moving to Node #0,0
Current State: 28:[14, 26, 24], Operations: ['66-42=24']
Exploring Operation: 26-24=2, Resulting Numbers: [14, 2]
Generated Node #0,0,0: 28:[14, 2] Operation: 26-24=2
Moving to Node #0,0,0
Current State: 28:[14, 2], Operations: ['66-42=24', '26-24=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
13,
65,
94,
56
] | 40 | [
"13+65=78",
"94-56=38",
"78-38=40"
] | Current State: 40:[13, 65, 94, 56], Operations: []
Exploring Operation: 13+65=78, Resulting Numbers: [94, 56, 78]
Generated Node #2: [94, 56, 78] from Operation: 13+65=78
Current State: 40:[94, 56, 78], Operations: ['13+65=78']
Exploring Operation: 94-56=38, Resulting Numbers: [78, 38]
Generated Node #3: [78, 38] from Operation: 94-56=38
Current State: 40:[78, 38], Operations: ['13+65=78', '94-56=38']
Exploring Operation: 78-38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[13, 65, 94, 56], Operations: []
Exploring Operation: 94-56=38, Resulting Numbers: [13, 65, 38]
Generated Node #0,0: 40:[13, 65, 38] Operation: 94-56=38
Exploring Operation: 94-65=29, Resulting Numbers: [13, 56, 29]
Generated Node #0,1: 40:[13, 56, 29] Operation: 94-65=29
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[13, 56, 29], Operations: ['94-65=29']
Exploring Operation: 56-29=27, Resulting Numbers: [13, 27]
Generated Node #0,1,0: 40:[13, 27] Operation: 56-29=27
Exploring Operation: 56-13=43, Resulting Numbers: [29, 43]
Generated Node #0,1,1: 40:[29, 43] Operation: 56-13=43
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 40:[13, 27], Operations: ['94-65=29', '56-29=27']
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[13, 65, 94, 56], Operations: []
Exploring Operation: 94-65=29, Resulting Numbers: [13, 56, 29]
Generated Node #0,1: 40:[13, 56, 29] Operation: 94-65=29
Moving to Node #0,1
Current State: 40:[13, 56, 29], Operations: ['94-65=29']
Exploring Operation: 56-29=27, Resulting Numbers: [13, 27]
Generated Node #0,1,0: 40:[13, 27] Operation: 56-29=27
Moving to Node #0,1,0
Current State: 40:[13, 27], Operations: ['94-65=29', '56-29=27']
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
28,
31,
27,
68
] | 77 | [
"31-28=3",
"27/3=9",
"68+9=77"
] | Current State: 77:[28, 31, 27, 68], Operations: []
Exploring Operation: 31-28=3, Resulting Numbers: [27, 68, 3]
Generated Node #2: [27, 68, 3] from Operation: 31-28=3
Current State: 77:[27, 68, 3], Operations: ['31-28=3']
Exploring Operation: 27/3=9, Resulting Numbers: [68, 9]
Generated Node #3: [68, 9] from Operation: 27/3=9
Current State: 77:[68, 9], Operations: ['31-28=3', '27/3=9']
Exploring Operation: 68+9=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[28, 31, 27, 68], Operations: []
Exploring Operation: 31-28=3, Resulting Numbers: [27, 68, 3]
Generated Node #0,0: 77:[27, 68, 3] Operation: 31-28=3
Exploring Operation: 31-27=4, Resulting Numbers: [28, 68, 4]
Generated Node #0,1: 77:[28, 68, 4] Operation: 31-27=4
Moving to Node #0,0
Current State: 77:[27, 68, 3], Operations: ['31-28=3']
Exploring Operation: 27*3=81, Resulting Numbers: [68, 81]
Generated Node #0,0,0: 77:[68, 81] Operation: 27*3=81
Exploring Operation: 27/3=9, Resulting Numbers: [68, 9]
Generated Node #0,0,1: 77:[68, 9] Operation: 27/3=9
Moving to Node #0,1
Current State: 77:[28, 68, 4], Operations: ['31-27=4']
Exploring Operation: 28+68=96, Resulting Numbers: [4, 96]
Generated Node #0,1,0: 77:[4, 96] Operation: 28+68=96
Exploring Operation: 28/4=7, Resulting Numbers: [68, 7]
Generated Node #0,1,1: 77:[68, 7] Operation: 28/4=7
Moving to Node #0,1,1
Current State: 77:[68, 7], Operations: ['31-27=4', '28/4=7']
Exploring Operation: 68-7=61, Resulting Numbers: [61]
61,77 unequal: No Solution
Exploring Operation: 68+7=75, Resulting Numbers: [75]
75,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[68, 9], Operations: ['31-28=3', '27/3=9']
Exploring Operation: 68+9=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[28, 31, 27, 68], Operations: []
Exploring Operation: 31-28=3, Resulting Numbers: [27, 68, 3]
Generated Node #0,0: 77:[27, 68, 3] Operation: 31-28=3
Moving to Node #0,0
Current State: 77:[27, 68, 3], Operations: ['31-28=3']
Exploring Operation: 27/3=9, Resulting Numbers: [68, 9]
Generated Node #0,0,1: 77:[68, 9] Operation: 27/3=9
Moving to Node #0,0,1
Current State: 77:[68, 9], Operations: ['31-28=3', '27/3=9']
Exploring Operation: 68+9=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 0.988715 | hs_2 | sum_heuristic |
[
81,
85,
79,
15
] | 55 | [
"81-79=2",
"15*2=30",
"85-30=55"
] | Current State: 55:[81, 85, 79, 15], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [85, 15, 2]
Generated Node #2: [85, 15, 2] from Operation: 81-79=2
Current State: 55:[85, 15, 2], Operations: ['81-79=2']
Exploring Operation: 15*2=30, Resulting Numbers: [85, 30]
Generated Node #3: [85, 30] from Operation: 15*2=30
Current State: 55:[85, 30], Operations: ['81-79=2', '15*2=30']
Exploring Operation: 85-30=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[81, 85, 79, 15], Operations: []
Exploring Operation: 85-81=4, Resulting Numbers: [79, 15, 4]
Generated Node #0,0: 55:[79, 15, 4] Operation: 85-81=4
Exploring Operation: 81-15=66, Resulting Numbers: [85, 79, 66]
Generated Node #0,1: 55:[85, 79, 66] Operation: 81-15=66
Exploring Operation: 81-79=2, Resulting Numbers: [85, 15, 2]
Generated Node #0,2: 55:[85, 15, 2] Operation: 81-79=2
Exploring Operation: 85-79=6, Resulting Numbers: [81, 15, 6]
Generated Node #0,3: 55:[81, 15, 6] Operation: 85-79=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[79, 15, 4], Operations: ['85-81=4']
Exploring Operation: 15-4=11, Resulting Numbers: [79, 11]
Generated Node #0,0,0: 55:[79, 11] Operation: 15-4=11
Exploring Operation: 15*4=60, Resulting Numbers: [79, 60]
Generated Node #0,0,1: 55:[79, 60] Operation: 15*4=60
Exploring Operation: 79-15=64, Resulting Numbers: [4, 64]
Generated Node #0,0,2: 55:[4, 64] Operation: 79-15=64
Exploring Operation: 79-4=75, Resulting Numbers: [15, 75]
Generated Node #0,0,3: 55:[15, 75] Operation: 79-4=75
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 55:[4, 64], Operations: ['85-81=4', '79-15=64']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,55 unequal: No Solution
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,55 unequal: No Solution
Exploring Operation: 4+64=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Exploring Operation: 4*64=256, Resulting Numbers: [256]
256,55 unequal: No Solution
No 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: 55:[79, 11], Operations: ['85-81=4', '15-4=11']
Exploring Operation: 79+11=90, Resulting Numbers: [90]
90,55 unequal: No Solution
Exploring Operation: 79-11=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Exploring Operation: 79*11=869, Resulting Numbers: [869]
869,55 unequal: No Solution
No 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: 55:[15, 75], Operations: ['85-81=4', '79-4=75']
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,55 unequal: No Solution
Exploring Operation: 15*75=1125, Resulting Numbers: [1125]
1125,55 unequal: No Solution
Exploring Operation: 75/15=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Exploring Operation: 15+75=90, Resulting Numbers: [90]
90,55 unequal: No Solution
No 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: 55:[79, 60], Operations: ['85-81=4', '15*4=60']
Exploring Operation: 79-60=19, Resulting Numbers: [19]
19,55 unequal: No Solution
Exploring Operation: 79+60=139, Resulting Numbers: [139]
139,55 unequal: No Solution
Exploring Operation: 79*60=4740, Resulting Numbers: [4740]
4740,55 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: 55:[81, 15, 6], Operations: ['85-79=6']
Exploring Operation: 81-15=66, Resulting Numbers: [6, 66]
Generated Node #0,3,0: 55:[6, 66] Operation: 81-15=66
Exploring Operation: 15-6=9, Resulting Numbers: [81, 9]
Generated Node #0,3,1: 55:[81, 9] Operation: 15-6=9
Exploring Operation: 81-6=75, Resulting Numbers: [15, 75]
Generated Node #0,3,2: 55:[15, 75] Operation: 81-6=75
Exploring Operation: 81+6=87, Resulting Numbers: [15, 87]
Generated Node #0,3,3: 55:[15, 87] Operation: 81+6=87
Moving to Node #0,3,0
Current State: 55:[6, 66], Operations: ['85-79=6', '81-15=66']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 66-6=60, Resulting Numbers: [60]
60,55 unequal: No Solution
Exploring Operation: 6*66=396, Resulting Numbers: [396]
396,55 unequal: No Solution
Exploring Operation: 6+66=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[15, 75], Operations: ['85-79=6', '81-6=75']
Exploring Operation: 15*75=1125, Resulting Numbers: [1125]
1125,55 unequal: No Solution
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,55 unequal: No Solution
Exploring Operation: 75/15=5, Resulting Numbers: [5]
5,55 unequal: No Solution
Exploring Operation: 15+75=90, Resulting Numbers: [90]
90,55 unequal: No Solution
Moving to Node #0,3,1
Current State: 55:[81, 9], Operations: ['85-79=6', '15-6=9']
Exploring Operation: 81+9=90, Resulting Numbers: [90]
90,55 unequal: No Solution
Exploring Operation: 81*9=729, Resulting Numbers: [729]
729,55 unequal: No Solution
Exploring Operation: 81/9=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[15, 87], Operations: ['85-79=6', '81+6=87']
Exploring Operation: 15*87=1305, Resulting Numbers: [1305]
1305,55 unequal: No Solution
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Exploring Operation: 15+87=102, Resulting Numbers: [102]
102,55 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 #0,2
Current State: 55:[85, 15, 2], Operations: ['81-79=2']
Exploring Operation: 85+2=87, Resulting Numbers: [15, 87]
Generated Node #0,2,0: 55:[15, 87] Operation: 85+2=87
Exploring Operation: 15-2=13, Resulting Numbers: [85, 13]
Generated Node #0,2,1: 55:[85, 13] Operation: 15-2=13
Exploring Operation: 85-2=83, Resulting Numbers: [15, 83]
Generated Node #0,2,2: 55:[15, 83] Operation: 85-2=83
Exploring Operation: 85-15=70, Resulting Numbers: [2, 70]
Generated Node #0,2,3: 55:[2, 70] Operation: 85-15=70
Moving to Node #0,2,3
Current State: 55:[2, 70], Operations: ['81-79=2', '85-15=70']
Exploring Operation: 2*70=140, Resulting Numbers: [140]
140,55 unequal: No Solution
Exploring Operation: 2+70=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,55 unequal: No Solution
Moving to Node #0,2,2
Current State: 55:[15, 83], Operations: ['81-79=2', '85-2=83']
Exploring Operation: 15+83=98, Resulting Numbers: [98]
98,55 unequal: No Solution
Exploring Operation: 15*83=1245, Resulting Numbers: [1245]
1245,55 unequal: No Solution
Exploring Operation: 83-15=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Moving to Node #0,2,1
Current State: 55:[85, 13], Operations: ['81-79=2', '15-2=13']
Exploring Operation: 85+13=98, Resulting Numbers: [98]
98,55 unequal: No Solution
Exploring Operation: 85-13=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Exploring Operation: 85*13=1105, Resulting Numbers: [1105]
1105,55 unequal: No Solution
Moving to Node #0,2,0
Current State: 55:[15, 87], Operations: ['81-79=2', '85+2=87']
Exploring Operation: 15+87=102, Resulting Numbers: [102]
102,55 unequal: No Solution
Exploring Operation: 15*87=1305, Resulting Numbers: [1305]
1305,55 unequal: No Solution
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,55 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:[85, 79, 66], Operations: ['81-15=66']
Exploring Operation: 79-66=13, Resulting Numbers: [85, 13]
Generated Node #0,1,0: 55:[85, 13] Operation: 79-66=13
Exploring Operation: 85+79=164, Resulting Numbers: [66, 164]
Generated Node #0,1,1: 55:[66, 164] Operation: 85+79=164
Exploring Operation: 85-79=6, Resulting Numbers: [66, 6]
Generated Node #0,1,2: 55:[66, 6] Operation: 85-79=6
Exploring Operation: 85-66=19, Resulting Numbers: [79, 19]
Generated Node #0,1,3: 55:[79, 19] Operation: 85-66=19
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 55:[66, 6], Operations: ['81-15=66', '85-79=6']
Exploring Operation: 66-6=60, Resulting Numbers: [60]
60,55 unequal: No Solution
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 66+6=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Exploring Operation: 66*6=396, Resulting Numbers: [396]
396,55 unequal: No Solution
No 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: 55:[85, 13], Operations: ['81-15=66', '79-66=13']
Exploring Operation: 85*13=1105, Resulting Numbers: [1105]
1105,55 unequal: No Solution
Exploring Operation: 85-13=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Exploring Operation: 85+13=98, Resulting Numbers: [98]
98,55 unequal: No Solution
No 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: 55:[79, 19], Operations: ['81-15=66', '85-66=19']
Exploring Operation: 79+19=98, Resulting Numbers: [98]
98,55 unequal: No Solution
Exploring Operation: 79-19=60, Resulting Numbers: [60]
60,55 unequal: No Solution
Exploring Operation: 79*19=1501, Resulting Numbers: [1501]
1501,55 unequal: No Solution
No 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: 55:[66, 164], Operations: ['81-15=66', '85+79=164']
Exploring Operation: 164-66=98, Resulting Numbers: [98]
98,55 unequal: No Solution
Exploring Operation: 66*164=10824, Resulting Numbers: [10824]
10824,55 unequal: No Solution
Exploring Operation: 66+164=230, Resulting Numbers: [230]
230,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
1,
52,
26,
13
] | 22 | [
"1*52=52",
"52/13=4",
"26-4=22"
] | Current State: 22:[1, 52, 26, 13], Operations: []
Exploring Operation: 1*52=52, Resulting Numbers: [26, 13, 52]
Generated Node #2: [26, 13, 52] from Operation: 1*52=52
Current State: 22:[26, 13, 52], Operations: ['1*52=52']
Exploring Operation: 52/13=4, Resulting Numbers: [26, 4]
Generated Node #3: [26, 4] from Operation: 52/13=4
Current State: 22:[26, 4], Operations: ['1*52=52', '52/13=4']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[1, 52, 26, 13], Operations: []
Exploring Operation: 52/13=4, Resulting Numbers: [1, 26, 4]
Generated Node #0,0: 22:[1, 26, 4] Operation: 52/13=4
Exploring Operation: 52-26=26, Resulting Numbers: [1, 13, 26]
Generated Node #0,1: 22:[1, 13, 26] Operation: 52-26=26
Exploring Operation: 52-13=39, Resulting Numbers: [1, 26, 39]
Generated Node #0,2: 22:[1, 26, 39] Operation: 52-13=39
Exploring Operation: 52/26=2, Resulting Numbers: [1, 13, 2]
Generated Node #0,3: 22:[1, 13, 2] Operation: 52/26=2
Moving to Node #0,3
Current State: 22:[1, 13, 2], Operations: ['52/26=2']
Exploring Operation: 13/1=13, Resulting Numbers: [2, 13]
Generated Node #0,3,0: 22:[2, 13] Operation: 13/1=13
Exploring Operation: 13-1=12, Resulting Numbers: [2, 12]
Generated Node #0,3,1: 22:[2, 12] Operation: 13-1=12
Exploring Operation: 13-2=11, Resulting Numbers: [1, 11]
Generated Node #0,3,2: 22:[1, 11] Operation: 13-2=11
Exploring Operation: 1*13=13, Resulting Numbers: [2, 13]
Generated Node #0,3,3: 22:[2, 13] Operation: 1*13=13
Moving to Node #0,1
Current State: 22:[1, 13, 26], Operations: ['52-26=26']
Exploring Operation: 26-1=25, Resulting Numbers: [13, 25]
Generated Node #0,1,0: 22:[13, 25] Operation: 26-1=25
Exploring Operation: 26-13=13, Resulting Numbers: [1, 13]
Generated Node #0,1,1: 22:[1, 13] Operation: 26-13=13
Exploring Operation: 13-1=12, Resulting Numbers: [26, 12]
Generated Node #0,1,2: 22:[26, 12] Operation: 13-1=12
Exploring Operation: 26/13=2, Resulting Numbers: [1, 2]
Generated Node #0,1,3: 22:[1, 2] Operation: 26/13=2
Moving to Node #0,0
Current State: 22:[1, 26, 4], Operations: ['52/13=4']
Exploring Operation: 1*26=26, Resulting Numbers: [4, 26]
Generated Node #0,0,0: 22:[4, 26] Operation: 1*26=26
Exploring Operation: 26-4=22, Resulting Numbers: [1, 22]
Generated Node #0,0,1: 22:[1, 22] Operation: 26-4=22
Exploring Operation: 26-1=25, Resulting Numbers: [4, 25]
Generated Node #0,0,2: 22:[4, 25] Operation: 26-1=25
Exploring Operation: 4-1=3, Resulting Numbers: [26, 3]
Generated Node #0,0,3: 22:[26, 3] Operation: 4-1=3
Moving to Node #0,2
Current State: 22:[1, 26, 39], Operations: ['52-13=39']
Exploring Operation: 1*26=26, Resulting Numbers: [39, 26]
Generated Node #0,2,0: 22:[39, 26] Operation: 1*26=26
Exploring Operation: 39-26=13, Resulting Numbers: [1, 13]
Generated Node #0,2,1: 22:[1, 13] Operation: 39-26=13
Exploring Operation: 26-1=25, Resulting Numbers: [39, 25]
Generated Node #0,2,2: 22:[39, 25] Operation: 26-1=25
Exploring Operation: 39-1=38, Resulting Numbers: [26, 38]
Generated Node #0,2,3: 22:[26, 38] Operation: 39-1=38
Moving to Node #0,3,1
Current State: 22:[2, 12], Operations: ['52/26=2', '13-1=12']
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,22 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,22 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,22 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,22 unequal: No Solution
Moving to Node #0,3,2
Current State: 22:[1, 11], Operations: ['52/26=2', '13-2=11']
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,22 unequal: No Solution
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,22 unequal: No Solution
Exploring Operation: 1+11=12, Resulting Numbers: [12]
12,22 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,22 unequal: No Solution
Moving to Node #0,1,3
Current State: 22:[1, 2], Operations: ['52-26=26', '26/13=2']
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,22 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Moving to Node #0,0,1
Current State: 22:[1, 22], Operations: ['52/13=4', '26-4=22']
Exploring Operation: 1*22=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[1, 52, 26, 13], Operations: []
Exploring Operation: 52/13=4, Resulting Numbers: [1, 26, 4]
Generated Node #0,0: 22:[1, 26, 4] Operation: 52/13=4
Moving to Node #0,0
Current State: 22:[1, 26, 4], Operations: ['52/13=4']
Exploring Operation: 26-4=22, Resulting Numbers: [1, 22]
Generated Node #0,0,1: 22:[1, 22] Operation: 26-4=22
Moving to Node #0,0,1
Current State: 22:[1, 22], Operations: ['52/13=4', '26-4=22']
Exploring Operation: 1*22=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 0.967882 | hs_4 | mult_heuristic |
[
86,
93,
89,
27
] | 100 | [
"93-86=7",
"27*7=189",
"189-89=100"
] | Current State: 100:[86, 93, 89, 27], Operations: []
Exploring Operation: 93-86=7, Resulting Numbers: [89, 27, 7]
Generated Node #2: [89, 27, 7] from Operation: 93-86=7
Current State: 100:[89, 27, 7], Operations: ['93-86=7']
Exploring Operation: 27*7=189, Resulting Numbers: [89, 189]
Generated Node #3: [89, 189] from Operation: 27*7=189
Current State: 100:[89, 189], Operations: ['93-86=7', '27*7=189']
Exploring Operation: 189-89=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[86, 93, 89, 27], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [93, 27, 3]
Generated Node #0,0: 100:[93, 27, 3] Operation: 89-86=3
Exploring Operation: 93-86=7, Resulting Numbers: [89, 27, 7]
Generated Node #0,1: 100:[89, 27, 7] Operation: 93-86=7
Exploring Operation: 93-89=4, Resulting Numbers: [86, 27, 4]
Generated Node #0,2: 100:[86, 27, 4] Operation: 93-89=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[93, 27, 3], Operations: ['89-86=3']
Exploring Operation: 93+3=96, Resulting Numbers: [27, 96]
Generated Node #0,0,0: 100:[27, 96] Operation: 93+3=96
Exploring Operation: 93/3=31, Resulting Numbers: [27, 31]
Generated Node #0,0,1: 100:[27, 31] Operation: 93/3=31
Exploring Operation: 27-3=24, Resulting Numbers: [93, 24]
Generated Node #0,0,2: 100:[93, 24] Operation: 27-3=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 100:[27, 96], Operations: ['89-86=3', '93+3=96']
Exploring Operation: 27+96=123, Resulting Numbers: [123]
123,100 unequal: No Solution
Exploring Operation: 96-27=69, Resulting Numbers: [69]
69,100 unequal: No Solution
Exploring Operation: 27*96=2592, Resulting Numbers: [2592]
2592,100 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 #0,0,1
Current State: 100:[27, 31], Operations: ['89-86=3', '93/3=31']
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 27*31=837, Resulting Numbers: [837]
837,100 unequal: No Solution
Exploring Operation: 27+31=58, Resulting Numbers: [58]
58,100 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 #0,0,2
Current State: 100:[93, 24], Operations: ['89-86=3', '27-3=24']
Exploring Operation: 93+24=117, Resulting Numbers: [117]
117,100 unequal: No Solution
Exploring Operation: 93*24=2232, Resulting Numbers: [2232]
2232,100 unequal: No Solution
Exploring Operation: 93-24=69, Resulting Numbers: [69]
69,100 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:[89, 27, 7], Operations: ['93-86=7']
Exploring Operation: 27-7=20, Resulting Numbers: [89, 20]
Generated Node #0,1,0: 100:[89, 20] Operation: 27-7=20
Exploring Operation: 89+7=96, Resulting Numbers: [27, 96]
Generated Node #0,1,1: 100:[27, 96] Operation: 89+7=96
Exploring Operation: 89-27=62, Resulting Numbers: [7, 62]
Generated Node #0,1,2: 100:[7, 62] Operation: 89-27=62
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 100:[27, 96], Operations: ['93-86=7', '89+7=96']
Exploring Operation: 27+96=123, Resulting Numbers: [123]
123,100 unequal: No Solution
Exploring Operation: 96-27=69, Resulting Numbers: [69]
69,100 unequal: No Solution
Exploring Operation: 27*96=2592, Resulting Numbers: [2592]
2592,100 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:[89, 20], Operations: ['93-86=7', '27-7=20']
Exploring Operation: 89*20=1780, Resulting Numbers: [1780]
1780,100 unequal: No Solution
Exploring Operation: 89-20=69, Resulting Numbers: [69]
69,100 unequal: No Solution
Exploring Operation: 89+20=109, Resulting Numbers: [109]
109,100 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:[7, 62], Operations: ['93-86=7', '89-27=62']
Exploring Operation: 62-7=55, Resulting Numbers: [55]
55,100 unequal: No Solution
Exploring Operation: 7+62=69, Resulting Numbers: [69]
69,100 unequal: No Solution
Exploring Operation: 7*62=434, Resulting Numbers: [434]
434,100 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 #0,2
Current State: 100:[86, 27, 4], Operations: ['93-89=4']
Exploring Operation: 86+4=90, Resulting Numbers: [27, 90]
Generated Node #0,2,0: 100:[27, 90] Operation: 86+4=90
Exploring Operation: 86-27=59, Resulting Numbers: [4, 59]
Generated Node #0,2,1: 100:[4, 59] Operation: 86-27=59
Exploring Operation: 86+27=113, Resulting Numbers: [4, 113]
Generated Node #0,2,2: 100:[4, 113] Operation: 86+27=113
Moving to Node #0,2,1
Current State: 100:[4, 59], Operations: ['93-89=4', '86-27=59']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,100 unequal: No Solution
Exploring Operation: 4*59=236, Resulting Numbers: [236]
236,100 unequal: No Solution
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,100 unequal: No Solution
Moving to Node #0,2,0
Current State: 100:[27, 90], Operations: ['93-89=4', '86+4=90']
Exploring Operation: 90-27=63, Resulting Numbers: [63]
63,100 unequal: No Solution
Exploring Operation: 27*90=2430, Resulting Numbers: [2430]
2430,100 unequal: No Solution
Exploring Operation: 27+90=117, Resulting Numbers: [117]
117,100 unequal: No Solution
Moving to Node #0,2,2
Current State: 100:[4, 113], Operations: ['93-89=4', '86+27=113']
Exploring Operation: 4*113=452, Resulting Numbers: [452]
452,100 unequal: No Solution
Exploring Operation: 113-4=109, Resulting Numbers: [109]
109,100 unequal: No Solution
Exploring Operation: 4+113=117, Resulting Numbers: [117]
117,100 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 |
[
37,
3,
24,
8
] | 72 | [
"37+3=40",
"24+8=32",
"40+32=72"
] | Current State: 72:[37, 3, 24, 8], Operations: []
Exploring Operation: 37+3=40, Resulting Numbers: [24, 8, 40]
Generated Node #2: [24, 8, 40] from Operation: 37+3=40
Current State: 72:[24, 8, 40], Operations: ['37+3=40']
Exploring Operation: 24+8=32, Resulting Numbers: [40, 32]
Generated Node #3: [40, 32] from Operation: 24+8=32
Current State: 72:[40, 32], Operations: ['37+3=40', '24+8=32']
Exploring Operation: 40+32=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[37, 3, 24, 8], Operations: []
Exploring Operation: 37-24=13, Resulting Numbers: [3, 8, 13]
Generated Node #0,0: 72:[3, 8, 13] Operation: 37-24=13
Exploring Operation: 3*24=72, Resulting Numbers: [37, 8, 72]
Generated Node #0,1: 72:[37, 8, 72] Operation: 3*24=72
Moving to Node #0,0
Current State: 72:[3, 8, 13], Operations: ['37-24=13']
Exploring Operation: 3*8=24, Resulting Numbers: [13, 24]
Generated Node #0,0,0: 72:[13, 24] Operation: 3*8=24
Exploring Operation: 13-3=10, Resulting Numbers: [8, 10]
Generated Node #0,0,1: 72:[8, 10] Operation: 13-3=10
Moving to Node #0,1
Current State: 72:[37, 8, 72], Operations: ['3*24=72']
Exploring Operation: 72/8=9, Resulting Numbers: [37, 9]
Generated Node #0,1,0: 72:[37, 9] Operation: 72/8=9
Exploring Operation: 72-37=35, Resulting Numbers: [8, 35]
Generated Node #0,1,1: 72:[8, 35] Operation: 72-37=35
Moving to Node #0,0,0
Current State: 72:[13, 24], Operations: ['37-24=13', '3*8=24']
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,72 unequal: No Solution
Exploring Operation: 13+24=37, Resulting Numbers: [37]
37,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[37, 9], Operations: ['3*24=72', '72/8=9']
Exploring Operation: 37+9=46, Resulting Numbers: [46]
46,72 unequal: No Solution
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[8, 10], Operations: ['37-24=13', '13-3=10']
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[8, 35], Operations: ['3*24=72', '72-37=35']
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,72 unequal: No Solution
Exploring Operation: 8+35=43, Resulting Numbers: [43]
43,72 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
23,
87,
70,
5
] | 42 | [
"23*5=115",
"87+70=157",
"157-115=42"
] | Current State: 42:[23, 87, 70, 5], Operations: []
Exploring Operation: 23*5=115, Resulting Numbers: [87, 70, 115]
Generated Node #2: [87, 70, 115] from Operation: 23*5=115
Current State: 42:[87, 70, 115], Operations: ['23*5=115']
Exploring Operation: 87+70=157, Resulting Numbers: [115, 157]
Generated Node #3: [115, 157] from Operation: 87+70=157
Current State: 42:[115, 157], Operations: ['23*5=115', '87+70=157']
Exploring Operation: 157-115=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[23, 87, 70, 5], Operations: []
Exploring Operation: 70-23=47, Resulting Numbers: [87, 5, 47]
Generated Node #0,0: 42:[87, 5, 47] Operation: 70-23=47
Exploring Operation: 87-70=17, Resulting Numbers: [23, 5, 17]
Generated Node #0,1: 42:[23, 5, 17] Operation: 87-70=17
Exploring Operation: 70/5=14, Resulting Numbers: [23, 87, 14]
Generated Node #0,2: 42:[23, 87, 14] Operation: 70/5=14
Exploring Operation: 87-23=64, Resulting Numbers: [70, 5, 64]
Generated Node #0,3: 42:[70, 5, 64] Operation: 87-23=64
Moving to Node #0,1
Current State: 42:[23, 5, 17], Operations: ['87-70=17']
Exploring Operation: 23-17=6, Resulting Numbers: [5, 6]
Generated Node #0,1,0: 42:[5, 6] Operation: 23-17=6
Exploring Operation: 17-5=12, Resulting Numbers: [23, 12]
Generated Node #0,1,1: 42:[23, 12] Operation: 17-5=12
Exploring Operation: 5+17=22, Resulting Numbers: [23, 22]
Generated Node #0,1,2: 42:[23, 22] Operation: 5+17=22
Exploring Operation: 23+17=40, Resulting Numbers: [5, 40]
Generated Node #0,1,3: 42:[5, 40] Operation: 23+17=40
Moving to Node #0,2
Current State: 42:[23, 87, 14], Operations: ['70/5=14']
Exploring Operation: 23-14=9, Resulting Numbers: [87, 9]
Generated Node #0,2,0: 42:[87, 9] Operation: 23-14=9
Exploring Operation: 87-14=73, Resulting Numbers: [23, 73]
Generated Node #0,2,1: 42:[23, 73] Operation: 87-14=73
Exploring Operation: 87-23=64, Resulting Numbers: [14, 64]
Generated Node #0,2,2: 42:[14, 64] Operation: 87-23=64
Exploring Operation: 23+14=37, Resulting Numbers: [87, 37]
Generated Node #0,2,3: 42:[87, 37] Operation: 23+14=37
Moving to Node #0,3
Current State: 42:[70, 5, 64], Operations: ['87-23=64']
Exploring Operation: 70-64=6, Resulting Numbers: [5, 6]
Generated Node #0,3,0: 42:[5, 6] Operation: 70-64=6
Exploring Operation: 70/5=14, Resulting Numbers: [64, 14]
Generated Node #0,3,1: 42:[64, 14] Operation: 70/5=14
Exploring Operation: 70-5=65, Resulting Numbers: [64, 65]
Generated Node #0,3,2: 42:[64, 65] Operation: 70-5=65
Exploring Operation: 64-5=59, Resulting Numbers: [70, 59]
Generated Node #0,3,3: 42:[70, 59] Operation: 64-5=59
Moving to Node #0,0
Current State: 42:[87, 5, 47], Operations: ['70-23=47']
Exploring Operation: 87-5=82, Resulting Numbers: [47, 82]
Generated Node #0,0,0: 42:[47, 82] Operation: 87-5=82
Exploring Operation: 47-5=42, Resulting Numbers: [87, 42]
Generated Node #0,0,1: 42:[87, 42] Operation: 47-5=42
Exploring Operation: 87+5=92, Resulting Numbers: [47, 92]
Generated Node #0,0,2: 42:[47, 92] Operation: 87+5=92
Exploring Operation: 87-47=40, Resulting Numbers: [5, 40]
Generated Node #0,0,3: 42:[5, 40] Operation: 87-47=40
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 42:[5, 40], Operations: ['70-23=47', '87-47=40']
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,42 unequal: No Solution
Exploring Operation: 5*40=200, Resulting Numbers: [200]
200,42 unequal: No Solution
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 42:[47, 82], Operations: ['70-23=47', '87-5=82']
Exploring Operation: 47+82=129, Resulting Numbers: [129]
129,42 unequal: No Solution
Exploring Operation: 82-47=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Exploring Operation: 47*82=3854, Resulting Numbers: [3854]
3854,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 42:[87, 42], Operations: ['70-23=47', '47-5=42']
Exploring Operation: 87+42=129, Resulting Numbers: [129]
129,42 unequal: No Solution
Exploring Operation: 87*42=3654, Resulting Numbers: [3654]
3654,42 unequal: No Solution
Exploring Operation: 87-42=45, Resulting Numbers: [45]
45,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 42:[47, 92], Operations: ['70-23=47', '87+5=92']
Exploring Operation: 47+92=139, Resulting Numbers: [139]
139,42 unequal: No Solution
Exploring Operation: 47*92=4324, Resulting Numbers: [4324]
4324,42 unequal: No Solution
Exploring Operation: 92-47=45, Resulting Numbers: [45]
45,42 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: 42:[5, 6], Operations: ['87-70=17', '23-17=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,42 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,42 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,42 unequal: No Solution
Moving to Node #0,3,0
Current State: 42:[5, 6], Operations: ['87-23=64', '70-64=6']
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,42 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,42 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,42 unequal: No Solution
Moving to Node #0,1,3
Current State: 42:[5, 40], Operations: ['87-70=17', '23+17=40']
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,42 unequal: No Solution
Exploring Operation: 5*40=200, Resulting Numbers: [200]
200,42 unequal: No Solution
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,42 unequal: No Solution
Moving to Node #0,1,2
Current State: 42:[23, 22], Operations: ['87-70=17', '5+17=22']
Exploring Operation: 23+22=45, Resulting Numbers: [45]
45,42 unequal: No Solution
Exploring Operation: 23*22=506, Resulting Numbers: [506]
506,42 unequal: No Solution
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,42 unequal: No Solution
Moving to Node #0,1,1
Current State: 42:[23, 12], Operations: ['87-70=17', '17-5=12']
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,42 unequal: No Solution
Exploring Operation: 23*12=276, Resulting Numbers: [276]
276,42 unequal: No Solution
Moving to Node #0,2,2
Current State: 42:[14, 64], Operations: ['70/5=14', '87-23=64']
Exploring Operation: 64-14=50, Resulting Numbers: [50]
50,42 unequal: No Solution
Exploring Operation: 14*64=896, Resulting Numbers: [896]
896,42 unequal: No Solution
Exploring Operation: 14+64=78, Resulting Numbers: [78]
78,42 unequal: No Solution
Moving to Node #0,3,1
Current State: 42:[64, 14], Operations: ['87-23=64', '70/5=14']
Exploring Operation: 64-14=50, Resulting Numbers: [50]
50,42 unequal: No Solution
Exploring Operation: 64*14=896, Resulting Numbers: [896]
896,42 unequal: No Solution
Exploring Operation: 64+14=78, Resulting Numbers: [78]
78,42 unequal: No Solution
Moving to Node #0,2,1
Current State: 42:[23, 73], Operations: ['70/5=14', '87-14=73']
Exploring Operation: 23*73=1679, Resulting Numbers: [1679]
1679,42 unequal: No Solution
Exploring Operation: 73-23=50, Resulting Numbers: [50]
50,42 unequal: No Solution
Exploring Operation: 23+73=96, Resulting Numbers: [96]
96,42 unequal: No Solution
Moving to Node #0,3,2
Current State: 42:[64, 65], Operations: ['87-23=64', '70-5=65']
Exploring Operation: 64+65=129, Resulting Numbers: [129]
129,42 unequal: No Solution
Exploring Operation: 64*65=4160, Resulting Numbers: [4160]
4160,42 unequal: No Solution
Exploring Operation: 65-64=1, Resulting Numbers: [1]
1,42 unequal: No Solution
Moving to Node #0,3,3
Current State: 42:[70, 59], Operations: ['87-23=64', '64-5=59']
Exploring Operation: 70+59=129, Resulting Numbers: [129]
129,42 unequal: No Solution
Exploring Operation: 70-59=11, Resulting Numbers: [11]
11,42 unequal: No Solution
Exploring Operation: 70*59=4130, Resulting Numbers: [4130]
4130,42 unequal: No Solution
Moving to Node #0,2,0
Current State: 42:[87, 9], Operations: ['70/5=14', '23-14=9']
Exploring Operation: 87*9=783, Resulting Numbers: [783]
783,42 unequal: No Solution
Exploring Operation: 87+9=96, Resulting Numbers: [96]
96,42 unequal: No Solution
Exploring Operation: 87-9=78, Resulting Numbers: [78]
78,42 unequal: No Solution
Moving to Node #0,2,3
Current State: 42:[87, 37], Operations: ['70/5=14', '23+14=37']
Exploring Operation: 87+37=124, Resulting Numbers: [124]
124,42 unequal: No Solution
Exploring Operation: 87*37=3219, Resulting Numbers: [3219]
3219,42 unequal: No Solution
Exploring Operation: 87-37=50, Resulting Numbers: [50]
50,42 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
66,
4,
69,
72
] | 45 | [
"72-66=6",
"4*6=24",
"69-24=45"
] | Current State: 45:[66, 4, 69, 72], Operations: []
Exploring Operation: 72-66=6, Resulting Numbers: [4, 69, 6]
Generated Node #2: [4, 69, 6] from Operation: 72-66=6
Current State: 45:[4, 69, 6], Operations: ['72-66=6']
Exploring Operation: 4*6=24, Resulting Numbers: [69, 24]
Generated Node #3: [69, 24] from Operation: 4*6=24
Current State: 45:[69, 24], Operations: ['72-66=6', '4*6=24']
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[66, 4, 69, 72], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [66, 4, 3]
Generated Node #0,0: 45:[66, 4, 3] Operation: 72-69=3
Exploring Operation: 69-66=3, Resulting Numbers: [4, 72, 3]
Generated Node #0,1: 45:[4, 72, 3] Operation: 69-66=3
Exploring Operation: 72-66=6, Resulting Numbers: [4, 69, 6]
Generated Node #0,2: 45:[4, 69, 6] Operation: 72-66=6
Moving to Node #0,0
Current State: 45:[66, 4, 3], Operations: ['72-69=3']
Exploring Operation: 66-4=62, Resulting Numbers: [3, 62]
Generated Node #0,0,0: 45:[3, 62] Operation: 66-4=62
Exploring Operation: 66/3=22, Resulting Numbers: [4, 22]
Generated Node #0,0,1: 45:[4, 22] Operation: 66/3=22
Exploring Operation: 66-3=63, Resulting Numbers: [4, 63]
Generated Node #0,0,2: 45:[4, 63] Operation: 66-3=63
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 45:[4, 22], Operations: ['72-69=3', '66/3=22']
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,45 unequal: No Solution
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,45 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 #0,0,0
Current State: 45:[3, 62], Operations: ['72-69=3', '66-4=62']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 3*62=186, Resulting Numbers: [186]
186,45 unequal: No Solution
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,45 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 #0,0,2
Current State: 45:[4, 63], Operations: ['72-69=3', '66-3=63']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,45 unequal: No Solution
Exploring Operation: 4*63=252, Resulting Numbers: [252]
252,45 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: 45:[4, 69, 6], Operations: ['72-66=6']
Exploring Operation: 4+6=10, Resulting Numbers: [69, 10]
Generated Node #0,2,0: 45:[69, 10] Operation: 4+6=10
Exploring Operation: 69-4=65, Resulting Numbers: [6, 65]
Generated Node #0,2,1: 45:[6, 65] Operation: 69-4=65
Exploring Operation: 69-6=63, Resulting Numbers: [4, 63]
Generated Node #0,2,2: 45:[4, 63] Operation: 69-6=63
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 45:[4, 63], Operations: ['72-66=6', '69-6=63']
Exploring Operation: 4*63=252, Resulting Numbers: [252]
252,45 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 4+63=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:[6, 65], Operations: ['72-66=6', '69-4=65']
Exploring Operation: 6*65=390, Resulting Numbers: [390]
390,45 unequal: No Solution
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 6+65=71, Resulting Numbers: [71]
71,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 45:[69, 10], Operations: ['72-66=6', '4+6=10']
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 69+10=79, Resulting Numbers: [79]
79,45 unequal: No Solution
Exploring Operation: 69*10=690, Resulting Numbers: [690]
690,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 45:[4, 72, 3], Operations: ['69-66=3']
Exploring Operation: 72/3=24, Resulting Numbers: [4, 24]
Generated Node #0,1,0: 45:[4, 24] Operation: 72/3=24
Exploring Operation: 72-4=68, Resulting Numbers: [3, 68]
Generated Node #0,1,1: 45:[3, 68] Operation: 72-4=68
Exploring Operation: 72/4=18, Resulting Numbers: [3, 18]
Generated Node #0,1,2: 45:[3, 18] Operation: 72/4=18
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 45:[3, 18], Operations: ['69-66=3', '72/4=18']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,45 unequal: No Solution
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,45 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 45:[4, 24], Operations: ['69-66=3', '72/3=24']
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,45 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 45:[3, 68], Operations: ['69-66=3', '72-4=68']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,45 unequal: No Solution
Exploring Operation: 3+68=71, Resulting Numbers: [71]
71,45 unequal: No Solution
Exploring Operation: 3*68=204, Resulting Numbers: [204]
204,45 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 |
[
87,
17,
94,
88
] | 31 | [
"94-87=7",
"17*7=119",
"119-88=31"
] | Current State: 31:[87, 17, 94, 88], Operations: []
Exploring Operation: 94-87=7, Resulting Numbers: [17, 88, 7]
Generated Node #2: [17, 88, 7] from Operation: 94-87=7
Current State: 31:[17, 88, 7], Operations: ['94-87=7']
Exploring Operation: 17*7=119, Resulting Numbers: [88, 119]
Generated Node #3: [88, 119] from Operation: 17*7=119
Current State: 31:[88, 119], Operations: ['94-87=7', '17*7=119']
Exploring Operation: 119-88=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[87, 17, 94, 88], Operations: []
Exploring Operation: 94-87=7, Resulting Numbers: [17, 88, 7]
Generated Node #0,0: 31:[17, 88, 7] Operation: 94-87=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[17, 88, 7], Operations: ['94-87=7']
Exploring Operation: 88-17=71, Resulting Numbers: [7, 71]
Generated Node #0,0,0: 31:[7, 71] Operation: 88-17=71
Moving to Node #0,0,0
Current State: 31:[7, 71], Operations: ['94-87=7', '88-17=71']
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,31 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 |
[
70,
48,
65,
9
] | 83 | [
"65-48=17",
"9*17=153",
"153-70=83"
] | Current State: 83:[70, 48, 65, 9], Operations: []
Exploring Operation: 65-48=17, Resulting Numbers: [70, 9, 17]
Generated Node #2: [70, 9, 17] from Operation: 65-48=17
Current State: 83:[70, 9, 17], Operations: ['65-48=17']
Exploring Operation: 9*17=153, Resulting Numbers: [70, 153]
Generated Node #3: [70, 153] from Operation: 9*17=153
Current State: 83:[70, 153], Operations: ['65-48=17', '9*17=153']
Exploring Operation: 153-70=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[70, 48, 65, 9], Operations: []
Exploring Operation: 70+9=79, Resulting Numbers: [48, 65, 79]
Generated Node #0,0: 83:[48, 65, 79] Operation: 70+9=79
Exploring Operation: 65+9=74, Resulting Numbers: [70, 48, 74]
Generated Node #0,1: 83:[70, 48, 74] Operation: 65+9=74
Exploring Operation: 48+9=57, Resulting Numbers: [70, 65, 57]
Generated Node #0,2: 83:[70, 65, 57] Operation: 48+9=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[48, 65, 79], Operations: ['70+9=79']
Exploring Operation: 65-48=17, Resulting Numbers: [79, 17]
Generated Node #0,0,0: 83:[79, 17] Operation: 65-48=17
Exploring Operation: 48+65=113, Resulting Numbers: [79, 113]
Generated Node #0,0,1: 83:[79, 113] Operation: 48+65=113
Exploring Operation: 48+79=127, Resulting Numbers: [65, 127]
Generated Node #0,0,2: 83:[65, 127] Operation: 48+79=127
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[79, 113], Operations: ['70+9=79', '48+65=113']
Exploring Operation: 79*113=8927, Resulting Numbers: [8927]
8927,83 unequal: No Solution
Exploring Operation: 79+113=192, Resulting Numbers: [192]
192,83 unequal: No Solution
Exploring Operation: 113-79=34, Resulting Numbers: [34]
34,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 83:[65, 127], Operations: ['70+9=79', '48+79=127']
Exploring Operation: 65+127=192, Resulting Numbers: [192]
192,83 unequal: No Solution
Exploring Operation: 65*127=8255, Resulting Numbers: [8255]
8255,83 unequal: No Solution
Exploring Operation: 127-65=62, Resulting Numbers: [62]
62,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[79, 17], Operations: ['70+9=79', '65-48=17']
Exploring Operation: 79*17=1343, Resulting Numbers: [1343]
1343,83 unequal: No Solution
Exploring Operation: 79-17=62, Resulting Numbers: [62]
62,83 unequal: No Solution
Exploring Operation: 79+17=96, Resulting Numbers: [96]
96,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[70, 48, 74], Operations: ['65+9=74']
Exploring Operation: 70+48=118, Resulting Numbers: [74, 118]
Generated Node #0,1,0: 83:[74, 118] Operation: 70+48=118
Exploring Operation: 48+74=122, Resulting Numbers: [70, 122]
Generated Node #0,1,1: 83:[70, 122] Operation: 48+74=122
Exploring Operation: 70-48=22, Resulting Numbers: [74, 22]
Generated Node #0,1,2: 83:[74, 22] Operation: 70-48=22
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[74, 118], Operations: ['65+9=74', '70+48=118']
Exploring Operation: 118-74=44, Resulting Numbers: [44]
44,83 unequal: No Solution
Exploring Operation: 74+118=192, Resulting Numbers: [192]
192,83 unequal: No Solution
Exploring Operation: 74*118=8732, Resulting Numbers: [8732]
8732,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[70, 122], Operations: ['65+9=74', '48+74=122']
Exploring Operation: 70+122=192, Resulting Numbers: [192]
192,83 unequal: No Solution
Exploring Operation: 70*122=8540, Resulting Numbers: [8540]
8540,83 unequal: No Solution
Exploring Operation: 122-70=52, Resulting Numbers: [52]
52,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 83:[74, 22], Operations: ['65+9=74', '70-48=22']
Exploring Operation: 74-22=52, Resulting Numbers: [52]
52,83 unequal: No Solution
Exploring Operation: 74*22=1628, Resulting Numbers: [1628]
1628,83 unequal: No Solution
Exploring Operation: 74+22=96, Resulting Numbers: [96]
96,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[70, 65, 57], Operations: ['48+9=57']
Exploring Operation: 70+57=127, Resulting Numbers: [65, 127]
Generated Node #0,2,0: 83:[65, 127] Operation: 70+57=127
Exploring Operation: 65+57=122, Resulting Numbers: [70, 122]
Generated Node #0,2,1: 83:[70, 122] Operation: 65+57=122
Exploring Operation: 70+65=135, Resulting Numbers: [57, 135]
Generated Node #0,2,2: 83:[57, 135] Operation: 70+65=135
Moving to Node #0,2,1
Current State: 83:[70, 122], Operations: ['48+9=57', '65+57=122']
Exploring Operation: 70+122=192, Resulting Numbers: [192]
192,83 unequal: No Solution
Exploring Operation: 70*122=8540, Resulting Numbers: [8540]
8540,83 unequal: No Solution
Exploring Operation: 122-70=52, Resulting Numbers: [52]
52,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[65, 127], Operations: ['48+9=57', '70+57=127']
Exploring Operation: 65+127=192, Resulting Numbers: [192]
192,83 unequal: No Solution
Exploring Operation: 65*127=8255, Resulting Numbers: [8255]
8255,83 unequal: No Solution
Exploring Operation: 127-65=62, Resulting Numbers: [62]
62,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[57, 135], Operations: ['48+9=57', '70+65=135']
Exploring Operation: 135-57=78, Resulting Numbers: [78]
78,83 unequal: No Solution
Exploring Operation: 57*135=7695, Resulting Numbers: [7695]
7695,83 unequal: No Solution
Exploring Operation: 57+135=192, Resulting Numbers: [192]
192,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
39,
33,
5,
94
] | 93 | [
"39-33=6",
"5+94=99",
"99-6=93"
] | Current State: 93:[39, 33, 5, 94], Operations: []
Exploring Operation: 39-33=6, Resulting Numbers: [5, 94, 6]
Generated Node #2: [5, 94, 6] from Operation: 39-33=6
Current State: 93:[5, 94, 6], Operations: ['39-33=6']
Exploring Operation: 5+94=99, Resulting Numbers: [6, 99]
Generated Node #3: [6, 99] from Operation: 5+94=99
Current State: 93:[6, 99], Operations: ['39-33=6', '5+94=99']
Exploring Operation: 99-6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[39, 33, 5, 94], Operations: []
Exploring Operation: 39-33=6, Resulting Numbers: [5, 94, 6]
Generated Node #0,0: 93:[5, 94, 6] Operation: 39-33=6
Moving to Node #0,0
Current State: 93:[5, 94, 6], Operations: ['39-33=6']
Exploring Operation: 5*6=30, Resulting Numbers: [94, 30]
Generated Node #0,0,0: 93:[94, 30] Operation: 5*6=30
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[94, 30], Operations: ['39-33=6', '5*6=30']
Exploring Operation: 94-30=64, Resulting Numbers: [64]
64,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
5,
99,
3,
39
] | 25 | [
"99-39=60",
"60/3=20",
"5+20=25"
] | Current State: 25:[5, 99, 3, 39], Operations: []
Exploring Operation: 99-39=60, Resulting Numbers: [5, 3, 60]
Generated Node #2: [5, 3, 60] from Operation: 99-39=60
Current State: 25:[5, 3, 60], Operations: ['99-39=60']
Exploring Operation: 60/3=20, Resulting Numbers: [5, 20]
Generated Node #3: [5, 20] from Operation: 60/3=20
Current State: 25:[5, 20], Operations: ['99-39=60', '60/3=20']
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[5, 99, 3, 39], Operations: []
Exploring Operation: 39-5=34, Resulting Numbers: [99, 3, 34]
Generated Node #0,0: 25:[99, 3, 34] Operation: 39-5=34
Exploring Operation: 99/3=33, Resulting Numbers: [5, 39, 33]
Generated Node #0,1: 25:[5, 39, 33] Operation: 99/3=33
Exploring Operation: 99-5=94, Resulting Numbers: [3, 39, 94]
Generated Node #0,2: 25:[3, 39, 94] Operation: 99-5=94
Exploring Operation: 99-39=60, Resulting Numbers: [5, 3, 60]
Generated Node #0,3: 25:[5, 3, 60] Operation: 99-39=60
Exploring Operation: 39/3=13, Resulting Numbers: [5, 99, 13]
Generated Node #0,4: 25:[5, 99, 13] Operation: 39/3=13
Moving to Node #0,1
Current State: 25:[5, 39, 33], Operations: ['99/3=33']
Exploring Operation: 5+33=38, Resulting Numbers: [39, 38]
Generated Node #0,1,0: 25:[39, 38] Operation: 5+33=38
Exploring Operation: 39-5=34, Resulting Numbers: [33, 34]
Generated Node #0,1,1: 25:[33, 34] Operation: 39-5=34
Exploring Operation: 33-5=28, Resulting Numbers: [39, 28]
Generated Node #0,1,2: 25:[39, 28] Operation: 33-5=28
Exploring Operation: 39-33=6, Resulting Numbers: [5, 6]
Generated Node #0,1,3: 25:[5, 6] Operation: 39-33=6
Exploring Operation: 5+39=44, Resulting Numbers: [33, 44]
Generated Node #0,1,4: 25:[33, 44] Operation: 5+39=44
Moving to Node #0,3
Current State: 25:[5, 3, 60], Operations: ['99-39=60']
Exploring Operation: 5+3=8, Resulting Numbers: [60, 8]
Generated Node #0,3,0: 25:[60, 8] Operation: 5+3=8
Exploring Operation: 60/3=20, Resulting Numbers: [5, 20]
Generated Node #0,3,1: 25:[5, 20] Operation: 60/3=20
Exploring Operation: 60/5=12, Resulting Numbers: [3, 12]
Generated Node #0,3,2: 25:[3, 12] Operation: 60/5=12
Exploring Operation: 60-5=55, Resulting Numbers: [3, 55]
Generated Node #0,3,3: 25:[3, 55] Operation: 60-5=55
Exploring Operation: 60-3=57, Resulting Numbers: [5, 57]
Generated Node #0,3,4: 25:[5, 57] Operation: 60-3=57
Moving to Node #0,4
Current State: 25:[5, 99, 13], Operations: ['39/3=13']
Exploring Operation: 5+99=104, Resulting Numbers: [13, 104]
Generated Node #0,4,0: 25:[13, 104] Operation: 5+99=104
Exploring Operation: 99-13=86, Resulting Numbers: [5, 86]
Generated Node #0,4,1: 25:[5, 86] Operation: 99-13=86
Exploring Operation: 99-5=94, Resulting Numbers: [13, 94]
Generated Node #0,4,2: 25:[13, 94] Operation: 99-5=94
Exploring Operation: 5+13=18, Resulting Numbers: [99, 18]
Generated Node #0,4,3: 25:[99, 18] Operation: 5+13=18
Exploring Operation: 13-5=8, Resulting Numbers: [99, 8]
Generated Node #0,4,4: 25:[99, 8] Operation: 13-5=8
Moving to Node #0,0
Current State: 25:[99, 3, 34], Operations: ['39-5=34']
Exploring Operation: 99+3=102, Resulting Numbers: [34, 102]
Generated Node #0,0,0: 25:[34, 102] Operation: 99+3=102
Exploring Operation: 99-3=96, Resulting Numbers: [34, 96]
Generated Node #0,0,1: 25:[34, 96] Operation: 99-3=96
Exploring Operation: 99/3=33, Resulting Numbers: [34, 33]
Generated Node #0,0,2: 25:[34, 33] Operation: 99/3=33
Exploring Operation: 34-3=31, Resulting Numbers: [99, 31]
Generated Node #0,0,3: 25:[99, 31] Operation: 34-3=31
Exploring Operation: 99-34=65, Resulting Numbers: [3, 65]
Generated Node #0,0,4: 25:[3, 65] Operation: 99-34=65
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 25:[34, 33], Operations: ['39-5=34', '99/3=33']
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,25 unequal: No Solution
Exploring Operation: 34*33=1122, Resulting Numbers: [1122]
1122,25 unequal: No Solution
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,25 unequal: No Solution
No 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: 25:[3, 65], Operations: ['39-5=34', '99-34=65']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,25 unequal: No Solution
Exploring Operation: 3*65=195, Resulting Numbers: [195]
195,25 unequal: No Solution
Exploring Operation: 3+65=68, Resulting Numbers: [68]
68,25 unequal: No Solution
No 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: 25:[34, 96], Operations: ['39-5=34', '99-3=96']
Exploring Operation: 34*96=3264, Resulting Numbers: [3264]
3264,25 unequal: No Solution
Exploring Operation: 96-34=62, Resulting Numbers: [62]
62,25 unequal: No Solution
Exploring Operation: 34+96=130, Resulting Numbers: [130]
130,25 unequal: No Solution
No 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: 25:[99, 31], Operations: ['39-5=34', '34-3=31']
Exploring Operation: 99*31=3069, Resulting Numbers: [3069]
3069,25 unequal: No Solution
Exploring Operation: 99+31=130, Resulting Numbers: [130]
130,25 unequal: No Solution
Exploring Operation: 99-31=68, Resulting Numbers: [68]
68,25 unequal: No Solution
No 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: 25:[34, 102], Operations: ['39-5=34', '99+3=102']
Exploring Operation: 34+102=136, Resulting Numbers: [136]
136,25 unequal: No Solution
Exploring Operation: 34*102=3468, Resulting Numbers: [3468]
3468,25 unequal: No Solution
Exploring Operation: 102-34=68, Resulting Numbers: [68]
68,25 unequal: No Solution
Exploring Operation: 102/34=3, Resulting Numbers: [3]
3,25 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: 25:[3, 39, 94], Operations: ['99-5=94']
Exploring Operation: 39/3=13, Resulting Numbers: [94, 13]
Generated Node #0,2,0: 25:[94, 13] Operation: 39/3=13
Exploring Operation: 94-3=91, Resulting Numbers: [39, 91]
Generated Node #0,2,1: 25:[39, 91] Operation: 94-3=91
Exploring Operation: 94-39=55, Resulting Numbers: [3, 55]
Generated Node #0,2,2: 25:[3, 55] Operation: 94-39=55
Exploring Operation: 39-3=36, Resulting Numbers: [94, 36]
Generated Node #0,2,3: 25:[94, 36] Operation: 39-3=36
Exploring Operation: 3+39=42, Resulting Numbers: [94, 42]
Generated Node #0,2,4: 25:[94, 42] Operation: 3+39=42
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 25:[3, 55], Operations: ['99-5=94', '94-39=55']
Exploring Operation: 3*55=165, Resulting Numbers: [165]
165,25 unequal: No Solution
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,25 unequal: No Solution
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,25 unequal: No Solution
No 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: 25:[94, 13], Operations: ['99-5=94', '39/3=13']
Exploring Operation: 94*13=1222, Resulting Numbers: [1222]
1222,25 unequal: No Solution
Exploring Operation: 94-13=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Exploring Operation: 94+13=107, Resulting Numbers: [107]
107,25 unequal: No Solution
No 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: 25:[39, 91], Operations: ['99-5=94', '94-3=91']
Exploring Operation: 91-39=52, Resulting Numbers: [52]
52,25 unequal: No Solution
Exploring Operation: 39+91=130, Resulting Numbers: [130]
130,25 unequal: No Solution
Exploring Operation: 39*91=3549, Resulting Numbers: [3549]
3549,25 unequal: No Solution
No 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: 25:[94, 36], Operations: ['99-5=94', '39-3=36']
Exploring Operation: 94-36=58, Resulting Numbers: [58]
58,25 unequal: No Solution
Exploring Operation: 94+36=130, Resulting Numbers: [130]
130,25 unequal: No Solution
Exploring Operation: 94*36=3384, Resulting Numbers: [3384]
3384,25 unequal: No Solution
No 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: 25:[94, 42], Operations: ['99-5=94', '3+39=42']
Exploring Operation: 94-42=52, Resulting Numbers: [52]
52,25 unequal: No Solution
Exploring Operation: 94+42=136, Resulting Numbers: [136]
136,25 unequal: No Solution
Exploring Operation: 94*42=3948, Resulting Numbers: [3948]
3948,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 25:[5, 6], Operations: ['99/3=33', '39-33=6']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,25 unequal: No Solution
Moving to Node #0,3,1
Current State: 25:[5, 20], Operations: ['99-39=60', '60/3=20']
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,25 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,25 unequal: No Solution
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[5, 99, 3, 39], Operations: []
Exploring Operation: 99-39=60, Resulting Numbers: [5, 3, 60]
Generated Node #0,3: 25:[5, 3, 60] Operation: 99-39=60
Moving to Node #0,3
Current State: 25:[5, 3, 60], Operations: ['99-39=60']
Exploring Operation: 60/3=20, Resulting Numbers: [5, 20]
Generated Node #0,3,1: 25:[5, 20] Operation: 60/3=20
Moving to Node #0,3,1
Current State: 25:[5, 20], Operations: ['99-39=60', '60/3=20']
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 0.9375 | hs_5 | sum_heuristic |
[
67,
36,
37,
28
] | 39 | [
"67-28=39",
"37-36=1",
"39*1=39"
] | Current State: 39:[67, 36, 37, 28], Operations: []
Exploring Operation: 67-28=39, Resulting Numbers: [36, 37, 39]
Generated Node #2: [36, 37, 39] from Operation: 67-28=39
Current State: 39:[36, 37, 39], Operations: ['67-28=39']
Exploring Operation: 37-36=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 37-36=1
Current State: 39:[39, 1], Operations: ['67-28=39', '37-36=1']
Exploring Operation: 39*1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[67, 36, 37, 28], Operations: []
Exploring Operation: 67-37=30, Resulting Numbers: [36, 28, 30]
Generated Node #0,0: 39:[36, 28, 30] Operation: 67-37=30
Exploring Operation: 67-36=31, Resulting Numbers: [37, 28, 31]
Generated Node #0,1: 39:[37, 28, 31] Operation: 67-36=31
Exploring Operation: 36-28=8, Resulting Numbers: [67, 37, 8]
Generated Node #0,2: 39:[67, 37, 8] Operation: 36-28=8
Exploring Operation: 67-28=39, Resulting Numbers: [36, 37, 39]
Generated Node #0,3: 39:[36, 37, 39] Operation: 67-28=39
Exploring Operation: 37-28=9, Resulting Numbers: [67, 36, 9]
Generated Node #0,4: 39:[67, 36, 9] Operation: 37-28=9
Moving to Node #0,3
Current State: 39:[36, 37, 39], Operations: ['67-28=39']
Exploring Operation: 36+37=73, Resulting Numbers: [39, 73]
Generated Node #0,3,0: 39:[39, 73] Operation: 36+37=73
Exploring Operation: 39-37=2, Resulting Numbers: [36, 2]
Generated Node #0,3,1: 39:[36, 2] Operation: 39-37=2
Exploring Operation: 36+39=75, Resulting Numbers: [37, 75]
Generated Node #0,3,2: 39:[37, 75] Operation: 36+39=75
Exploring Operation: 39-36=3, Resulting Numbers: [37, 3]
Generated Node #0,3,3: 39:[37, 3] Operation: 39-36=3
Exploring Operation: 37-36=1, Resulting Numbers: [39, 1]
Generated Node #0,3,4: 39:[39, 1] Operation: 37-36=1
Moving to Node #0,1
Current State: 39:[37, 28, 31], Operations: ['67-36=31']
Exploring Operation: 37-28=9, Resulting Numbers: [31, 9]
Generated Node #0,1,0: 39:[31, 9] Operation: 37-28=9
Exploring Operation: 37+28=65, Resulting Numbers: [31, 65]
Generated Node #0,1,1: 39:[31, 65] Operation: 37+28=65
Exploring Operation: 37-31=6, Resulting Numbers: [28, 6]
Generated Node #0,1,2: 39:[28, 6] Operation: 37-31=6
Exploring Operation: 28+31=59, Resulting Numbers: [37, 59]
Generated Node #0,1,3: 39:[37, 59] Operation: 28+31=59
Exploring Operation: 31-28=3, Resulting Numbers: [37, 3]
Generated Node #0,1,4: 39:[37, 3] Operation: 31-28=3
Moving to Node #0,0
Current State: 39:[36, 28, 30], Operations: ['67-37=30']
Exploring Operation: 36+28=64, Resulting Numbers: [30, 64]
Generated Node #0,0,0: 39:[30, 64] Operation: 36+28=64
Exploring Operation: 36-28=8, Resulting Numbers: [30, 8]
Generated Node #0,0,1: 39:[30, 8] Operation: 36-28=8
Exploring Operation: 36-30=6, Resulting Numbers: [28, 6]
Generated Node #0,0,2: 39:[28, 6] Operation: 36-30=6
Exploring Operation: 30-28=2, Resulting Numbers: [36, 2]
Generated Node #0,0,3: 39:[36, 2] Operation: 30-28=2
Exploring Operation: 28+30=58, Resulting Numbers: [36, 58]
Generated Node #0,0,4: 39:[36, 58] Operation: 28+30=58
Moving to Node #0,2
Current State: 39:[67, 37, 8], Operations: ['36-28=8']
Exploring Operation: 67+8=75, Resulting Numbers: [37, 75]
Generated Node #0,2,0: 39:[37, 75] Operation: 67+8=75
Exploring Operation: 67-37=30, Resulting Numbers: [8, 30]
Generated Node #0,2,1: 39:[8, 30] Operation: 67-37=30
Exploring Operation: 37+8=45, Resulting Numbers: [67, 45]
Generated Node #0,2,2: 39:[67, 45] Operation: 37+8=45
Exploring Operation: 37-8=29, Resulting Numbers: [67, 29]
Generated Node #0,2,3: 39:[67, 29] Operation: 37-8=29
Exploring Operation: 67-8=59, Resulting Numbers: [37, 59]
Generated Node #0,2,4: 39:[37, 59] Operation: 67-8=59
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 39:[8, 30], Operations: ['36-28=8', '67-37=30']
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,39 unequal: No Solution
Exploring Operation: 8+30=38, Resulting Numbers: [38]
38,39 unequal: No Solution
Exploring Operation: 8*30=240, Resulting Numbers: [240]
240,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 39:[37, 59], Operations: ['36-28=8', '67-8=59']
Exploring Operation: 37*59=2183, Resulting Numbers: [2183]
2183,39 unequal: No Solution
Exploring Operation: 37+59=96, Resulting Numbers: [96]
96,39 unequal: No Solution
Exploring Operation: 59-37=22, Resulting Numbers: [22]
22,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 39:[67, 45], Operations: ['36-28=8', '37+8=45']
Exploring Operation: 67+45=112, Resulting Numbers: [112]
112,39 unequal: No Solution
Exploring Operation: 67*45=3015, Resulting Numbers: [3015]
3015,39 unequal: No Solution
Exploring Operation: 67-45=22, Resulting Numbers: [22]
22,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 39:[37, 75], Operations: ['36-28=8', '67+8=75']
Exploring Operation: 37+75=112, Resulting Numbers: [112]
112,39 unequal: No Solution
Exploring Operation: 75-37=38, Resulting Numbers: [38]
38,39 unequal: No Solution
Exploring Operation: 37*75=2775, Resulting Numbers: [2775]
2775,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 39:[67, 29], Operations: ['36-28=8', '37-8=29']
Exploring Operation: 67+29=96, Resulting Numbers: [96]
96,39 unequal: No Solution
Exploring Operation: 67-29=38, Resulting Numbers: [38]
38,39 unequal: No Solution
Exploring Operation: 67*29=1943, Resulting Numbers: [1943]
1943,39 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: 39:[67, 36, 9], Operations: ['37-28=9']
Exploring Operation: 36/9=4, Resulting Numbers: [67, 4]
Generated Node #0,4,0: 39:[67, 4] Operation: 36/9=4
Exploring Operation: 67+9=76, Resulting Numbers: [36, 76]
Generated Node #0,4,1: 39:[36, 76] Operation: 67+9=76
Exploring Operation: 67-9=58, Resulting Numbers: [36, 58]
Generated Node #0,4,2: 39:[36, 58] Operation: 67-9=58
Exploring Operation: 67-36=31, Resulting Numbers: [9, 31]
Generated Node #0,4,3: 39:[9, 31] Operation: 67-36=31
Exploring Operation: 36+9=45, Resulting Numbers: [67, 45]
Generated Node #0,4,4: 39:[67, 45] Operation: 36+9=45
Moving to Node #0,3,3
Current State: 39:[37, 3], Operations: ['67-28=39', '39-36=3']
Exploring Operation: 37*3=111, Resulting Numbers: [111]
111,39 unequal: No Solution
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,39 unequal: No Solution
Exploring Operation: 37+3=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Moving to Node #0,1,4
Current State: 39:[37, 3], Operations: ['67-36=31', '31-28=3']
Exploring Operation: 37*3=111, Resulting Numbers: [111]
111,39 unequal: No Solution
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,39 unequal: No Solution
Exploring Operation: 37+3=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Moving to Node #0,3,4
Current State: 39:[39, 1], Operations: ['67-28=39', '37-36=1']
Exploring Operation: 39/1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[67, 36, 37, 28], Operations: []
Exploring Operation: 67-28=39, Resulting Numbers: [36, 37, 39]
Generated Node #0,3: 39:[36, 37, 39] Operation: 67-28=39
Moving to Node #0,3
Current State: 39:[36, 37, 39], Operations: ['67-28=39']
Exploring Operation: 37-36=1, Resulting Numbers: [39, 1]
Generated Node #0,3,4: 39:[39, 1] Operation: 37-36=1
Moving to Node #0,3,4
Current State: 39:[39, 1], Operations: ['67-28=39', '37-36=1']
Exploring Operation: 39/1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 0.951389 | hs_5 | mult_heuristic |
[
81,
92,
3,
34
] | 67 | [
"92-81=11",
"3*11=33",
"34+33=67"
] | Current State: 67:[81, 92, 3, 34], Operations: []
Exploring Operation: 92-81=11, Resulting Numbers: [3, 34, 11]
Generated Node #2: [3, 34, 11] from Operation: 92-81=11
Current State: 67:[3, 34, 11], Operations: ['92-81=11']
Exploring Operation: 3*11=33, Resulting Numbers: [34, 33]
Generated Node #3: [34, 33] from Operation: 3*11=33
Current State: 67:[34, 33], Operations: ['92-81=11', '3*11=33']
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[81, 92, 3, 34], Operations: []
Exploring Operation: 3+34=37, Resulting Numbers: [81, 92, 37]
Generated Node #0,0: 67:[81, 92, 37] Operation: 3+34=37
Exploring Operation: 81+3=84, Resulting Numbers: [92, 34, 84]
Generated Node #0,1: 67:[92, 34, 84] Operation: 81+3=84
Exploring Operation: 81-3=78, Resulting Numbers: [92, 34, 78]
Generated Node #0,2: 67:[92, 34, 78] Operation: 81-3=78
Exploring Operation: 3*34=102, Resulting Numbers: [81, 92, 102]
Generated Node #0,3: 67:[81, 92, 102] Operation: 3*34=102
Exploring Operation: 92-3=89, Resulting Numbers: [81, 34, 89]
Generated Node #0,4: 67:[81, 34, 89] Operation: 92-3=89
Moving to Node #0,0
Current State: 67:[81, 92, 37], Operations: ['3+34=37']
Exploring Operation: 92-37=55, Resulting Numbers: [81, 55]
Generated Node #0,0,0: 67:[81, 55] Operation: 92-37=55
Exploring Operation: 92+37=129, Resulting Numbers: [81, 129]
Generated Node #0,0,1: 67:[81, 129] Operation: 92+37=129
Exploring Operation: 81+37=118, Resulting Numbers: [92, 118]
Generated Node #0,0,2: 67:[92, 118] Operation: 81+37=118
Exploring Operation: 92-81=11, Resulting Numbers: [37, 11]
Generated Node #0,0,3: 67:[37, 11] Operation: 92-81=11
Exploring Operation: 81-37=44, Resulting Numbers: [92, 44]
Generated Node #0,0,4: 67:[92, 44] Operation: 81-37=44
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[81, 55], Operations: ['3+34=37', '92-37=55']
Exploring Operation: 81*55=4455, Resulting Numbers: [4455]
4455,67 unequal: No Solution
Exploring Operation: 81+55=136, Resulting Numbers: [136]
136,67 unequal: No Solution
Exploring Operation: 81-55=26, Resulting Numbers: [26]
26,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 67:[92, 44], Operations: ['3+34=37', '81-37=44']
Exploring Operation: 92+44=136, Resulting Numbers: [136]
136,67 unequal: No Solution
Exploring Operation: 92-44=48, Resulting Numbers: [48]
48,67 unequal: No Solution
Exploring Operation: 92*44=4048, Resulting Numbers: [4048]
4048,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 67:[81, 129], Operations: ['3+34=37', '92+37=129']
Exploring Operation: 129-81=48, Resulting Numbers: [48]
48,67 unequal: No Solution
Exploring Operation: 81*129=10449, Resulting Numbers: [10449]
10449,67 unequal: No Solution
Exploring Operation: 81+129=210, Resulting Numbers: [210]
210,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 67:[92, 118], Operations: ['3+34=37', '81+37=118']
Exploring Operation: 92+118=210, Resulting Numbers: [210]
210,67 unequal: No Solution
Exploring Operation: 92*118=10856, Resulting Numbers: [10856]
10856,67 unequal: No Solution
Exploring Operation: 118-92=26, Resulting Numbers: [26]
26,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 67:[37, 11], Operations: ['3+34=37', '92-81=11']
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,67 unequal: No Solution
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,67 unequal: No Solution
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,67 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: 67:[81, 34, 89], Operations: ['92-3=89']
Exploring Operation: 81-34=47, Resulting Numbers: [89, 47]
Generated Node #0,4,0: 67:[89, 47] Operation: 81-34=47
Exploring Operation: 34+89=123, Resulting Numbers: [81, 123]
Generated Node #0,4,1: 67:[81, 123] Operation: 34+89=123
Exploring Operation: 89-34=55, Resulting Numbers: [81, 55]
Generated Node #0,4,2: 67:[81, 55] Operation: 89-34=55
Exploring Operation: 89-81=8, Resulting Numbers: [34, 8]
Generated Node #0,4,3: 67:[34, 8] Operation: 89-81=8
Exploring Operation: 81+34=115, Resulting Numbers: [89, 115]
Generated Node #0,4,4: 67:[89, 115] Operation: 81+34=115
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 67:[81, 55], Operations: ['92-3=89', '89-34=55']
Exploring Operation: 81-55=26, Resulting Numbers: [26]
26,67 unequal: No Solution
Exploring Operation: 81*55=4455, Resulting Numbers: [4455]
4455,67 unequal: No Solution
Exploring Operation: 81+55=136, Resulting Numbers: [136]
136,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 67:[89, 47], Operations: ['92-3=89', '81-34=47']
Exploring Operation: 89*47=4183, Resulting Numbers: [4183]
4183,67 unequal: No Solution
Exploring Operation: 89+47=136, Resulting Numbers: [136]
136,67 unequal: No Solution
Exploring Operation: 89-47=42, Resulting Numbers: [42]
42,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 67:[81, 123], Operations: ['92-3=89', '34+89=123']
Exploring Operation: 123-81=42, Resulting Numbers: [42]
42,67 unequal: No Solution
Exploring Operation: 81+123=204, Resulting Numbers: [204]
204,67 unequal: No Solution
Exploring Operation: 81*123=9963, Resulting Numbers: [9963]
9963,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 67:[89, 115], Operations: ['92-3=89', '81+34=115']
Exploring Operation: 115-89=26, Resulting Numbers: [26]
26,67 unequal: No Solution
Exploring Operation: 89+115=204, Resulting Numbers: [204]
204,67 unequal: No Solution
Exploring Operation: 89*115=10235, Resulting Numbers: [10235]
10235,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 67:[34, 8], Operations: ['92-3=89', '89-81=8']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,67 unequal: No Solution
Exploring Operation: 34*8=272, Resulting Numbers: [272]
272,67 unequal: No Solution
Exploring Operation: 34+8=42, Resulting Numbers: [42]
42,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 67:[92, 34, 78], Operations: ['81-3=78']
Exploring Operation: 78-34=44, Resulting Numbers: [92, 44]
Generated Node #0,2,0: 67:[92, 44] Operation: 78-34=44
Exploring Operation: 34+78=112, Resulting Numbers: [92, 112]
Generated Node #0,2,1: 67:[92, 112] Operation: 34+78=112
Exploring Operation: 92-78=14, Resulting Numbers: [34, 14]
Generated Node #0,2,2: 67:[34, 14] Operation: 92-78=14
Exploring Operation: 92+34=126, Resulting Numbers: [78, 126]
Generated Node #0,2,3: 67:[78, 126] Operation: 92+34=126
Exploring Operation: 92-34=58, Resulting Numbers: [78, 58]
Generated Node #0,2,4: 67:[78, 58] Operation: 92-34=58
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 67:[78, 58], Operations: ['81-3=78', '92-34=58']
Exploring Operation: 78-58=20, Resulting Numbers: [20]
20,67 unequal: No Solution
Exploring Operation: 78+58=136, Resulting Numbers: [136]
136,67 unequal: No Solution
Exploring Operation: 78*58=4524, Resulting Numbers: [4524]
4524,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 67:[92, 44], Operations: ['81-3=78', '78-34=44']
Exploring Operation: 92*44=4048, Resulting Numbers: [4048]
4048,67 unequal: No Solution
Exploring Operation: 92-44=48, Resulting Numbers: [48]
48,67 unequal: No Solution
Exploring Operation: 92+44=136, Resulting Numbers: [136]
136,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 67:[92, 112], Operations: ['81-3=78', '34+78=112']
Exploring Operation: 92*112=10304, Resulting Numbers: [10304]
10304,67 unequal: No Solution
Exploring Operation: 112-92=20, Resulting Numbers: [20]
20,67 unequal: No Solution
Exploring Operation: 92+112=204, Resulting Numbers: [204]
204,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 67:[78, 126], Operations: ['81-3=78', '92+34=126']
Exploring Operation: 126-78=48, Resulting Numbers: [48]
48,67 unequal: No Solution
Exploring Operation: 78+126=204, Resulting Numbers: [204]
204,67 unequal: No Solution
Exploring Operation: 78*126=9828, Resulting Numbers: [9828]
9828,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 67:[34, 14], Operations: ['81-3=78', '92-78=14']
Exploring Operation: 34+14=48, Resulting Numbers: [48]
48,67 unequal: No Solution
Exploring Operation: 34*14=476, Resulting Numbers: [476]
476,67 unequal: No Solution
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 67:[81, 92, 102], Operations: ['3*34=102']
Exploring Operation: 81+102=183, Resulting Numbers: [92, 183]
Generated Node #0,3,0: 67:[92, 183] Operation: 81+102=183
Exploring Operation: 102-81=21, Resulting Numbers: [92, 21]
Generated Node #0,3,1: 67:[92, 21] Operation: 102-81=21
Exploring Operation: 102-92=10, Resulting Numbers: [81, 10]
Generated Node #0,3,2: 67:[81, 10] Operation: 102-92=10
Exploring Operation: 92-81=11, Resulting Numbers: [102, 11]
Generated Node #0,3,3: 67:[102, 11] Operation: 92-81=11
Exploring Operation: 81+92=173, Resulting Numbers: [102, 173]
Generated Node #0,3,4: 67:[102, 173] Operation: 81+92=173
Moving to Node #0,1
Current State: 67:[92, 34, 84], Operations: ['81+3=84']
Exploring Operation: 92+34=126, Resulting Numbers: [84, 126]
Generated Node #0,1,0: 67:[84, 126] Operation: 92+34=126
Exploring Operation: 84-34=50, Resulting Numbers: [92, 50]
Generated Node #0,1,1: 67:[92, 50] Operation: 84-34=50
Exploring Operation: 92-84=8, Resulting Numbers: [34, 8]
Generated Node #0,1,2: 67:[34, 8] Operation: 92-84=8
Exploring Operation: 92-34=58, Resulting Numbers: [84, 58]
Generated Node #0,1,3: 67:[84, 58] Operation: 92-34=58
Exploring Operation: 34+84=118, Resulting Numbers: [92, 118]
Generated Node #0,1,4: 67:[92, 118] Operation: 34+84=118
Moving to Node #0,1,3
Current State: 67:[84, 58], Operations: ['81+3=84', '92-34=58']
Exploring Operation: 84+58=142, Resulting Numbers: [142]
142,67 unequal: No Solution
Exploring Operation: 84*58=4872, Resulting Numbers: [4872]
4872,67 unequal: No Solution
Exploring Operation: 84-58=26, Resulting Numbers: [26]
26,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[92, 50], Operations: ['81+3=84', '84-34=50']
Exploring Operation: 92*50=4600, Resulting Numbers: [4600]
4600,67 unequal: No Solution
Exploring Operation: 92+50=142, Resulting Numbers: [142]
142,67 unequal: No Solution
Exploring Operation: 92-50=42, Resulting Numbers: [42]
42,67 unequal: No Solution
Moving to Node #0,3,1
Current State: 67:[92, 21], Operations: ['3*34=102', '102-81=21']
Exploring Operation: 92*21=1932, Resulting Numbers: [1932]
1932,67 unequal: No Solution
Exploring Operation: 92-21=71, Resulting Numbers: [71]
71,67 unequal: No Solution
Exploring Operation: 92+21=113, Resulting Numbers: [113]
113,67 unequal: No Solution
Moving to Node #0,3,2
Current State: 67:[81, 10], Operations: ['3*34=102', '102-92=10']
Exploring Operation: 81+10=91, Resulting Numbers: [91]
91,67 unequal: No Solution
Exploring Operation: 81*10=810, Resulting Numbers: [810]
810,67 unequal: No Solution
Exploring Operation: 81-10=71, Resulting Numbers: [71]
71,67 unequal: No Solution
Moving to Node #0,1,4
Current State: 67:[92, 118], Operations: ['81+3=84', '34+84=118']
Exploring Operation: 118-92=26, Resulting Numbers: [26]
26,67 unequal: No Solution
Exploring Operation: 92+118=210, Resulting Numbers: [210]
210,67 unequal: No Solution
Exploring Operation: 92*118=10856, Resulting Numbers: [10856]
10856,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[84, 126], Operations: ['81+3=84', '92+34=126']
Exploring Operation: 84+126=210, Resulting Numbers: [210]
210,67 unequal: No Solution
Exploring Operation: 126-84=42, Resulting Numbers: [42]
42,67 unequal: No Solution
Exploring Operation: 84*126=10584, Resulting Numbers: [10584]
10584,67 unequal: No Solution
Moving to Node #0,3,3
Current State: 67:[102, 11], Operations: ['3*34=102', '92-81=11']
Exploring Operation: 102-11=91, Resulting Numbers: [91]
91,67 unequal: No Solution
Exploring Operation: 102+11=113, Resulting Numbers: [113]
113,67 unequal: No Solution
Exploring Operation: 102*11=1122, Resulting Numbers: [1122]
1122,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[34, 8], Operations: ['81+3=84', '92-84=8']
Exploring Operation: 34+8=42, Resulting Numbers: [42]
42,67 unequal: No Solution
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,67 unequal: No Solution
Exploring Operation: 34*8=272, Resulting Numbers: [272]
272,67 unequal: No Solution
Moving to Node #0,3,0
Current State: 67:[92, 183], Operations: ['3*34=102', '81+102=183']
Exploring Operation: 92*183=16836, Resulting Numbers: [16836]
16836,67 unequal: No Solution
Exploring Operation: 92+183=275, Resulting Numbers: [275]
275,67 unequal: No Solution
Exploring Operation: 183-92=91, Resulting Numbers: [91]
91,67 unequal: No Solution
Moving to Node #0,3,4
Current State: 67:[102, 173], Operations: ['3*34=102', '81+92=173']
Exploring Operation: 102*173=17646, Resulting Numbers: [17646]
17646,67 unequal: No Solution
Exploring Operation: 102+173=275, Resulting Numbers: [275]
275,67 unequal: No Solution
Exploring Operation: 173-102=71, Resulting Numbers: [71]
71,67 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
32,
84,
85,
2
] | 19 | [
"84-32=52",
"2*52=104",
"104-85=19"
] | Current State: 19:[32, 84, 85, 2], Operations: []
Exploring Operation: 84-32=52, Resulting Numbers: [85, 2, 52]
Generated Node #2: [85, 2, 52] from Operation: 84-32=52
Current State: 19:[85, 2, 52], Operations: ['84-32=52']
Exploring Operation: 2*52=104, Resulting Numbers: [85, 104]
Generated Node #3: [85, 104] from Operation: 2*52=104
Current State: 19:[85, 104], Operations: ['84-32=52', '2*52=104']
Exploring Operation: 104-85=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[32, 84, 85, 2], Operations: []
Exploring Operation: 84/2=42, Resulting Numbers: [32, 85, 42]
Generated Node #0,0: 19:[32, 85, 42] Operation: 84/2=42
Exploring Operation: 84-32=52, Resulting Numbers: [85, 2, 52]
Generated Node #0,1: 19:[85, 2, 52] Operation: 84-32=52
Exploring Operation: 85-84=1, Resulting Numbers: [32, 2, 1]
Generated Node #0,2: 19:[32, 2, 1] Operation: 85-84=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[32, 2, 1], Operations: ['85-84=1']
Exploring Operation: 32/2=16, Resulting Numbers: [1, 16]
Generated Node #0,2,0: 19:[1, 16] Operation: 32/2=16
Exploring Operation: 32-1=31, Resulting Numbers: [2, 31]
Generated Node #0,2,1: 19:[2, 31] Operation: 32-1=31
Exploring Operation: 32-2=30, Resulting Numbers: [1, 30]
Generated Node #0,2,2: 19:[1, 30] Operation: 32-2=30
Moving to Node #0,2,0
Current State: 19:[1, 16], Operations: ['85-84=1', '32/2=16']
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,19 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,19 unequal: No Solution
Exploring Operation: 1*16=16, Resulting Numbers: [16]
16,19 unequal: No Solution
Moving to Node #0,2,1
Current State: 19:[2, 31], Operations: ['85-84=1', '32-1=31']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,19 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,19 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,19 unequal: No Solution
Moving to Node #0,2,2
Current State: 19:[1, 30], Operations: ['85-84=1', '32-2=30']
Exploring Operation: 1*30=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,19 unequal: No Solution
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[32, 85, 42], Operations: ['84/2=42']
Exploring Operation: 85-42=43, Resulting Numbers: [32, 43]
Generated Node #0,0,0: 19:[32, 43] Operation: 85-42=43
Exploring Operation: 42-32=10, Resulting Numbers: [85, 10]
Generated Node #0,0,1: 19:[85, 10] Operation: 42-32=10
Exploring Operation: 85-32=53, Resulting Numbers: [42, 53]
Generated Node #0,0,2: 19:[42, 53] Operation: 85-32=53
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[32, 43], Operations: ['84/2=42', '85-42=43']
Exploring Operation: 43-32=11, Resulting Numbers: [11]
11,19 unequal: No Solution
Exploring Operation: 32+43=75, Resulting Numbers: [75]
75,19 unequal: No Solution
Exploring Operation: 32*43=1376, Resulting Numbers: [1376]
1376,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 19:[42, 53], Operations: ['84/2=42', '85-32=53']
Exploring Operation: 42+53=95, Resulting Numbers: [95]
95,19 unequal: No Solution
Exploring Operation: 42*53=2226, Resulting Numbers: [2226]
2226,19 unequal: No Solution
Exploring Operation: 53-42=11, Resulting Numbers: [11]
11,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 19:[85, 10], Operations: ['84/2=42', '42-32=10']
Exploring Operation: 85*10=850, Resulting Numbers: [850]
850,19 unequal: No Solution
Exploring Operation: 85+10=95, Resulting Numbers: [95]
95,19 unequal: No Solution
Exploring Operation: 85-10=75, Resulting Numbers: [75]
75,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[85, 2, 52], Operations: ['84-32=52']
Exploring Operation: 52/2=26, Resulting Numbers: [85, 26]
Generated Node #0,1,0: 19:[85, 26] Operation: 52/2=26
Exploring Operation: 85-2=83, Resulting Numbers: [52, 83]
Generated Node #0,1,1: 19:[52, 83] Operation: 85-2=83
Exploring Operation: 85-52=33, Resulting Numbers: [2, 33]
Generated Node #0,1,2: 19:[2, 33] Operation: 85-52=33
Moving to Node #0,1,2
Current State: 19:[2, 33], Operations: ['84-32=52', '85-52=33']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,19 unequal: No Solution
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,19 unequal: No Solution
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,19 unequal: No Solution
Moving to Node #0,1,0
Current State: 19:[85, 26], Operations: ['84-32=52', '52/2=26']
Exploring Operation: 85+26=111, Resulting Numbers: [111]
111,19 unequal: No Solution
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,19 unequal: No Solution
Exploring Operation: 85*26=2210, Resulting Numbers: [2210]
2210,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[52, 83], Operations: ['84-32=52', '85-2=83']
Exploring Operation: 52+83=135, Resulting Numbers: [135]
135,19 unequal: No Solution
Exploring Operation: 52*83=4316, Resulting Numbers: [4316]
4316,19 unequal: No Solution
Exploring Operation: 83-52=31, Resulting Numbers: [31]
31,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
42,
99,
25,
3
] | 29 | [
"99-42=57",
"25+3=28",
"57-28=29"
] | Current State: 29:[42, 99, 25, 3], Operations: []
Exploring Operation: 99-42=57, Resulting Numbers: [25, 3, 57]
Generated Node #2: [25, 3, 57] from Operation: 99-42=57
Current State: 29:[25, 3, 57], Operations: ['99-42=57']
Exploring Operation: 25+3=28, Resulting Numbers: [57, 28]
Generated Node #3: [57, 28] from Operation: 25+3=28
Current State: 29:[57, 28], Operations: ['99-42=57', '25+3=28']
Exploring Operation: 57-28=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[42, 99, 25, 3], Operations: []
Exploring Operation: 99-42=57, Resulting Numbers: [25, 3, 57]
Generated Node #0,0: 29:[25, 3, 57] Operation: 99-42=57
Exploring Operation: 99/3=33, Resulting Numbers: [42, 25, 33]
Generated Node #0,1: 29:[42, 25, 33] Operation: 99/3=33
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[42, 25, 33], Operations: ['99/3=33']
Exploring Operation: 42-33=9, Resulting Numbers: [25, 9]
Generated Node #0,1,0: 29:[25, 9] Operation: 42-33=9
Exploring Operation: 42-25=17, Resulting Numbers: [33, 17]
Generated Node #0,1,1: 29:[33, 17] Operation: 42-25=17
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 29:[33, 17], Operations: ['99/3=33', '42-25=17']
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,29 unequal: No Solution
Exploring Operation: 33+17=50, Resulting Numbers: [50]
50,29 unequal: No Solution
No 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: 29:[25, 9], Operations: ['99/3=33', '42-33=9']
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,29 unequal: No Solution
Exploring Operation: 25+9=34, Resulting Numbers: [34]
34,29 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: 29:[25, 3, 57], Operations: ['99-42=57']
Exploring Operation: 25+3=28, Resulting Numbers: [57, 28]
Generated Node #0,0,0: 29:[57, 28] Operation: 25+3=28
Exploring Operation: 57/3=19, Resulting Numbers: [25, 19]
Generated Node #0,0,1: 29:[25, 19] Operation: 57/3=19
Moving to Node #0,0,1
Current State: 29:[25, 19], Operations: ['99-42=57', '57/3=19']
Exploring Operation: 25-19=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 25+19=44, Resulting Numbers: [44]
44,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[57, 28], Operations: ['99-42=57', '25+3=28']
Exploring Operation: 57+28=85, Resulting Numbers: [85]
85,29 unequal: No Solution
Exploring Operation: 57-28=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[42, 99, 25, 3], Operations: []
Exploring Operation: 99-42=57, Resulting Numbers: [25, 3, 57]
Generated Node #0,0: 29:[25, 3, 57] Operation: 99-42=57
Moving to Node #0,0
Current State: 29:[25, 3, 57], Operations: ['99-42=57']
Exploring Operation: 25+3=28, Resulting Numbers: [57, 28]
Generated Node #0,0,0: 29:[57, 28] Operation: 25+3=28
Moving to Node #0,0,0
Current State: 29:[57, 28], Operations: ['99-42=57', '25+3=28']
Exploring Operation: 57-28=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_2 | mult_heuristic |
[
3,
25,
59,
72
] | 52 | [
"25+59=84",
"72+84=156",
"156/3=52"
] | Current State: 52:[3, 25, 59, 72], Operations: []
Exploring Operation: 25+59=84, Resulting Numbers: [3, 72, 84]
Generated Node #2: [3, 72, 84] from Operation: 25+59=84
Current State: 52:[3, 72, 84], Operations: ['25+59=84']
Exploring Operation: 72+84=156, Resulting Numbers: [3, 156]
Generated Node #3: [3, 156] from Operation: 72+84=156
Current State: 52:[3, 156], Operations: ['25+59=84', '72+84=156']
Exploring Operation: 156/3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[3, 25, 59, 72], Operations: []
Exploring Operation: 59-3=56, Resulting Numbers: [25, 72, 56]
Generated Node #0,0: 52:[25, 72, 56] Operation: 59-3=56
Exploring Operation: 72-25=47, Resulting Numbers: [3, 59, 47]
Generated Node #0,1: 52:[3, 59, 47] Operation: 72-25=47
Exploring Operation: 72-59=13, Resulting Numbers: [3, 25, 13]
Generated Node #0,2: 52:[3, 25, 13] Operation: 72-59=13
Exploring Operation: 72/3=24, Resulting Numbers: [25, 59, 24]
Generated Node #0,3: 52:[25, 59, 24] Operation: 72/3=24
Exploring Operation: 72-3=69, Resulting Numbers: [25, 59, 69]
Generated Node #0,4: 52:[25, 59, 69] Operation: 72-3=69
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[3, 25, 13], Operations: ['72-59=13']
Exploring Operation: 25-13=12, Resulting Numbers: [3, 12]
Generated Node #0,2,0: 52:[3, 12] Operation: 25-13=12
Exploring Operation: 13-3=10, Resulting Numbers: [25, 10]
Generated Node #0,2,1: 52:[25, 10] Operation: 13-3=10
Exploring Operation: 25-3=22, Resulting Numbers: [13, 22]
Generated Node #0,2,2: 52:[13, 22] Operation: 25-3=22
Exploring Operation: 3+25=28, Resulting Numbers: [13, 28]
Generated Node #0,2,3: 52:[13, 28] Operation: 3+25=28
Exploring Operation: 3+13=16, Resulting Numbers: [25, 16]
Generated Node #0,2,4: 52:[25, 16] Operation: 3+13=16
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 52:[3, 12], Operations: ['72-59=13', '25-13=12']
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,52 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,52 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,52 unequal: No Solution
No 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: 52:[13, 28], Operations: ['72-59=13', '3+25=28']
Exploring Operation: 13+28=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Exploring Operation: 13*28=364, Resulting Numbers: [364]
364,52 unequal: No Solution
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,52 unequal: No Solution
No 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: 52:[25, 10], Operations: ['72-59=13', '13-3=10']
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 25*10=250, Resulting Numbers: [250]
250,52 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,52 unequal: No Solution
No 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: 52:[13, 22], Operations: ['72-59=13', '25-3=22']
Exploring Operation: 13*22=286, Resulting Numbers: [286]
286,52 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 13+22=35, Resulting Numbers: [35]
35,52 unequal: No Solution
No 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: 52:[25, 16], Operations: ['72-59=13', '3+13=16']
Exploring Operation: 25*16=400, Resulting Numbers: [400]
400,52 unequal: No Solution
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,52 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: 52:[25, 59, 24], Operations: ['72/3=24']
Exploring Operation: 25-24=1, Resulting Numbers: [59, 1]
Generated Node #0,3,0: 52:[59, 1] Operation: 25-24=1
Exploring Operation: 59+24=83, Resulting Numbers: [25, 83]
Generated Node #0,3,1: 52:[25, 83] Operation: 59+24=83
Exploring Operation: 25+24=49, Resulting Numbers: [59, 49]
Generated Node #0,3,2: 52:[59, 49] Operation: 25+24=49
Exploring Operation: 59-24=35, Resulting Numbers: [25, 35]
Generated Node #0,3,3: 52:[25, 35] Operation: 59-24=35
Exploring Operation: 59-25=34, Resulting Numbers: [24, 34]
Generated Node #0,3,4: 52:[24, 34] Operation: 59-25=34
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 52:[59, 1], Operations: ['72/3=24', '25-24=1']
Exploring Operation: 59+1=60, Resulting Numbers: [60]
60,52 unequal: No Solution
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,52 unequal: No Solution
Exploring Operation: 59/1=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,52 unequal: No Solution
No 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: 52:[59, 49], Operations: ['72/3=24', '25+24=49']
Exploring Operation: 59-49=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 59*49=2891, Resulting Numbers: [2891]
2891,52 unequal: No Solution
Exploring Operation: 59+49=108, Resulting Numbers: [108]
108,52 unequal: No Solution
No 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: 52:[25, 35], Operations: ['72/3=24', '59-24=35']
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 25*35=875, Resulting Numbers: [875]
875,52 unequal: No Solution
Exploring Operation: 25+35=60, Resulting Numbers: [60]
60,52 unequal: No Solution
No 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: 52:[24, 34], Operations: ['72/3=24', '59-25=34']
Exploring Operation: 24+34=58, Resulting Numbers: [58]
58,52 unequal: No Solution
Exploring Operation: 24*34=816, Resulting Numbers: [816]
816,52 unequal: No Solution
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,52 unequal: No Solution
No 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: 52:[25, 83], Operations: ['72/3=24', '59+24=83']
Exploring Operation: 83-25=58, Resulting Numbers: [58]
58,52 unequal: No Solution
Exploring Operation: 25+83=108, Resulting Numbers: [108]
108,52 unequal: No Solution
Exploring Operation: 25*83=2075, Resulting Numbers: [2075]
2075,52 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: 52:[3, 59, 47], Operations: ['72-25=47']
Exploring Operation: 3+59=62, Resulting Numbers: [47, 62]
Generated Node #0,1,0: 52:[47, 62] Operation: 3+59=62
Exploring Operation: 59-47=12, Resulting Numbers: [3, 12]
Generated Node #0,1,1: 52:[3, 12] Operation: 59-47=12
Exploring Operation: 59-3=56, Resulting Numbers: [47, 56]
Generated Node #0,1,2: 52:[47, 56] Operation: 59-3=56
Exploring Operation: 3+47=50, Resulting Numbers: [59, 50]
Generated Node #0,1,3: 52:[59, 50] Operation: 3+47=50
Exploring Operation: 47-3=44, Resulting Numbers: [59, 44]
Generated Node #0,1,4: 52:[59, 44] Operation: 47-3=44
Moving to Node #0,1,1
Current State: 52:[3, 12], Operations: ['72-25=47', '59-47=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,52 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,52 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Moving to Node #0,1,3
Current State: 52:[59, 50], Operations: ['72-25=47', '3+47=50']
Exploring Operation: 59*50=2950, Resulting Numbers: [2950]
2950,52 unequal: No Solution
Exploring Operation: 59+50=109, Resulting Numbers: [109]
109,52 unequal: No Solution
Exploring Operation: 59-50=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[47, 56], Operations: ['72-25=47', '59-3=56']
Exploring Operation: 47*56=2632, Resulting Numbers: [2632]
2632,52 unequal: No Solution
Exploring Operation: 56-47=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 47+56=103, Resulting Numbers: [103]
103,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[47, 62], Operations: ['72-25=47', '3+59=62']
Exploring Operation: 47*62=2914, Resulting Numbers: [2914]
2914,52 unequal: No Solution
Exploring Operation: 62-47=15, Resulting Numbers: [15]
15,52 unequal: No Solution
Exploring Operation: 47+62=109, Resulting Numbers: [109]
109,52 unequal: No Solution
Moving to Node #0,1,4
Current State: 52:[59, 44], Operations: ['72-25=47', '47-3=44']
Exploring Operation: 59*44=2596, Resulting Numbers: [2596]
2596,52 unequal: No Solution
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,52 unequal: No Solution
Exploring Operation: 59+44=103, Resulting Numbers: [103]
103,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[25, 72, 56], Operations: ['59-3=56']
Exploring Operation: 72-25=47, Resulting Numbers: [56, 47]
Generated Node #0,0,0: 52:[56, 47] Operation: 72-25=47
Exploring Operation: 56-25=31, Resulting Numbers: [72, 31]
Generated Node #0,0,1: 52:[72, 31] Operation: 56-25=31
Exploring Operation: 25+72=97, Resulting Numbers: [56, 97]
Generated Node #0,0,2: 52:[56, 97] Operation: 25+72=97
Exploring Operation: 72-56=16, Resulting Numbers: [25, 16]
Generated Node #0,0,3: 52:[25, 16] Operation: 72-56=16
Exploring Operation: 25+56=81, Resulting Numbers: [72, 81]
Generated Node #0,0,4: 52:[72, 81] Operation: 25+56=81
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 52:[25, 16], Operations: ['59-3=56', '72-56=16']
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Exploring Operation: 25*16=400, Resulting Numbers: [400]
400,52 unequal: No Solution
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,52 unequal: No Solution
No 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: 52:[56, 47], Operations: ['59-3=56', '72-25=47']
Exploring Operation: 56-47=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 56+47=103, Resulting Numbers: [103]
103,52 unequal: No Solution
Exploring Operation: 56*47=2632, Resulting Numbers: [2632]
2632,52 unequal: No Solution
No 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: 52:[72, 31], Operations: ['59-3=56', '56-25=31']
Exploring Operation: 72-31=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Exploring Operation: 72+31=103, Resulting Numbers: [103]
103,52 unequal: No Solution
Exploring Operation: 72*31=2232, Resulting Numbers: [2232]
2232,52 unequal: No Solution
No 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: 52:[56, 97], Operations: ['59-3=56', '25+72=97']
Exploring Operation: 56*97=5432, Resulting Numbers: [5432]
5432,52 unequal: No Solution
Exploring Operation: 97-56=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Exploring Operation: 56+97=153, Resulting Numbers: [153]
153,52 unequal: No Solution
No 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: 52:[72, 81], Operations: ['59-3=56', '25+56=81']
Exploring Operation: 72*81=5832, Resulting Numbers: [5832]
5832,52 unequal: No Solution
Exploring Operation: 72+81=153, Resulting Numbers: [153]
153,52 unequal: No Solution
Exploring Operation: 81-72=9, Resulting Numbers: [9]
9,52 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: 52:[25, 59, 69], Operations: ['72-3=69']
Exploring Operation: 69-25=44, Resulting Numbers: [59, 44]
Generated Node #0,4,0: 52:[59, 44] Operation: 69-25=44
Exploring Operation: 69-59=10, Resulting Numbers: [25, 10]
Generated Node #0,4,1: 52:[25, 10] Operation: 69-59=10
Exploring Operation: 25+69=94, Resulting Numbers: [59, 94]
Generated Node #0,4,2: 52:[59, 94] Operation: 25+69=94
Exploring Operation: 59-25=34, Resulting Numbers: [69, 34]
Generated Node #0,4,3: 52:[69, 34] Operation: 59-25=34
Exploring Operation: 25+59=84, Resulting Numbers: [69, 84]
Generated Node #0,4,4: 52:[69, 84] Operation: 25+59=84
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 52:[25, 10], Operations: ['72-3=69', '69-59=10']
Exploring Operation: 25*10=250, Resulting Numbers: [250]
250,52 unequal: No Solution
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,52 unequal: No Solution
No 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: 52:[59, 44], Operations: ['72-3=69', '69-25=44']
Exploring Operation: 59+44=103, Resulting Numbers: [103]
103,52 unequal: No Solution
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,52 unequal: No Solution
Exploring Operation: 59*44=2596, Resulting Numbers: [2596]
2596,52 unequal: No Solution
No 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: 52:[69, 34], Operations: ['72-3=69', '59-25=34']
Exploring Operation: 69-34=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 69+34=103, Resulting Numbers: [103]
103,52 unequal: No Solution
Exploring Operation: 69*34=2346, Resulting Numbers: [2346]
2346,52 unequal: No Solution
No 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: 52:[59, 94], Operations: ['72-3=69', '25+69=94']
Exploring Operation: 94-59=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 59*94=5546, Resulting Numbers: [5546]
5546,52 unequal: No Solution
Exploring Operation: 59+94=153, Resulting Numbers: [153]
153,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 52:[69, 84], Operations: ['72-3=69', '25+59=84']
Exploring Operation: 69*84=5796, Resulting Numbers: [5796]
5796,52 unequal: No Solution
Exploring Operation: 69+84=153, Resulting Numbers: [153]
153,52 unequal: No Solution
Exploring Operation: 84-69=15, Resulting Numbers: [15]
15,52 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 |
[
86,
18,
43,
80
] | 71 | [
"86/43=2",
"18/2=9",
"80-9=71"
] | Current State: 71:[86, 18, 43, 80], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [18, 80, 2]
Generated Node #2: [18, 80, 2] from Operation: 86/43=2
Current State: 71:[18, 80, 2], Operations: ['86/43=2']
Exploring Operation: 18/2=9, Resulting Numbers: [80, 9]
Generated Node #3: [80, 9] from Operation: 18/2=9
Current State: 71:[80, 9], Operations: ['86/43=2', '18/2=9']
Exploring Operation: 80-9=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[86, 18, 43, 80], Operations: []
Exploring Operation: 86-18=68, Resulting Numbers: [43, 80, 68]
Generated Node #0,0: 71:[43, 80, 68] Operation: 86-18=68
Exploring Operation: 18+43=61, Resulting Numbers: [86, 80, 61]
Generated Node #0,1: 71:[86, 80, 61] Operation: 18+43=61
Exploring Operation: 80-18=62, Resulting Numbers: [86, 43, 62]
Generated Node #0,2: 71:[86, 43, 62] Operation: 80-18=62
Exploring Operation: 86+18=104, Resulting Numbers: [43, 80, 104]
Generated Node #0,3: 71:[43, 80, 104] Operation: 86+18=104
Moving to Node #0,1
Current State: 71:[86, 80, 61], Operations: ['18+43=61']
Exploring Operation: 86-61=25, Resulting Numbers: [80, 25]
Generated Node #0,1,0: 71:[80, 25] Operation: 86-61=25
Exploring Operation: 86+61=147, Resulting Numbers: [80, 147]
Generated Node #0,1,1: 71:[80, 147] Operation: 86+61=147
Exploring Operation: 86-80=6, Resulting Numbers: [61, 6]
Generated Node #0,1,2: 71:[61, 6] Operation: 86-80=6
Exploring Operation: 80-61=19, Resulting Numbers: [86, 19]
Generated Node #0,1,3: 71:[86, 19] Operation: 80-61=19
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[80, 25], Operations: ['18+43=61', '86-61=25']
Exploring Operation: 80-25=55, Resulting Numbers: [55]
55,71 unequal: No Solution
Exploring Operation: 80+25=105, Resulting Numbers: [105]
105,71 unequal: No Solution
Exploring Operation: 80*25=2000, Resulting Numbers: [2000]
2000,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 71:[86, 19], Operations: ['18+43=61', '80-61=19']
Exploring Operation: 86-19=67, Resulting Numbers: [67]
67,71 unequal: No Solution
Exploring Operation: 86*19=1634, Resulting Numbers: [1634]
1634,71 unequal: No Solution
Exploring Operation: 86+19=105, Resulting Numbers: [105]
105,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 71:[61, 6], Operations: ['18+43=61', '86-80=6']
Exploring Operation: 61*6=366, Resulting Numbers: [366]
366,71 unequal: No Solution
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,71 unequal: No Solution
Exploring Operation: 61+6=67, Resulting Numbers: [67]
67,71 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:[80, 147], Operations: ['18+43=61', '86+61=147']
Exploring Operation: 147-80=67, Resulting Numbers: [67]
67,71 unequal: No Solution
Exploring Operation: 80+147=227, Resulting Numbers: [227]
227,71 unequal: No Solution
Exploring Operation: 80*147=11760, Resulting Numbers: [11760]
11760,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 71:[43, 80, 68], Operations: ['86-18=68']
Exploring Operation: 43+80=123, Resulting Numbers: [68, 123]
Generated Node #0,0,0: 71:[68, 123] Operation: 43+80=123
Exploring Operation: 68-43=25, Resulting Numbers: [80, 25]
Generated Node #0,0,1: 71:[80, 25] Operation: 68-43=25
Exploring Operation: 43+68=111, Resulting Numbers: [80, 111]
Generated Node #0,0,2: 71:[80, 111] Operation: 43+68=111
Exploring Operation: 80-43=37, Resulting Numbers: [68, 37]
Generated Node #0,0,3: 71:[68, 37] Operation: 80-43=37
Moving to Node #0,2
Current State: 71:[86, 43, 62], Operations: ['80-18=62']
Exploring Operation: 86-43=43, Resulting Numbers: [62, 43]
Generated Node #0,2,0: 71:[62, 43] Operation: 86-43=43
Exploring Operation: 62-43=19, Resulting Numbers: [86, 19]
Generated Node #0,2,1: 71:[86, 19] Operation: 62-43=19
Exploring Operation: 86+43=129, Resulting Numbers: [62, 129]
Generated Node #0,2,2: 71:[62, 129] Operation: 86+43=129
Exploring Operation: 43+62=105, Resulting Numbers: [86, 105]
Generated Node #0,2,3: 71:[86, 105] Operation: 43+62=105
Moving to Node #0,3
Current State: 71:[43, 80, 104], Operations: ['86+18=104']
Exploring Operation: 80-43=37, Resulting Numbers: [104, 37]
Generated Node #0,3,0: 71:[104, 37] Operation: 80-43=37
Exploring Operation: 104-80=24, Resulting Numbers: [43, 24]
Generated Node #0,3,1: 71:[43, 24] Operation: 104-80=24
Exploring Operation: 43+80=123, Resulting Numbers: [104, 123]
Generated Node #0,3,2: 71:[104, 123] Operation: 43+80=123
Exploring Operation: 104-43=61, Resulting Numbers: [80, 61]
Generated Node #0,3,3: 71:[80, 61] Operation: 104-43=61
Moving to Node #0,3,3
Current State: 71:[80, 61], Operations: ['86+18=104', '104-43=61']
Exploring Operation: 80+61=141, Resulting Numbers: [141]
141,71 unequal: No Solution
Exploring Operation: 80-61=19, Resulting Numbers: [19]
19,71 unequal: No Solution
Exploring Operation: 80*61=4880, Resulting Numbers: [4880]
4880,71 unequal: No Solution
Moving to Node #0,0,3
Current State: 71:[68, 37], Operations: ['86-18=68', '80-43=37']
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,71 unequal: No Solution
Exploring Operation: 68+37=105, Resulting Numbers: [105]
105,71 unequal: No Solution
Exploring Operation: 68*37=2516, Resulting Numbers: [2516]
2516,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[62, 43], Operations: ['80-18=62', '86-43=43']
Exploring Operation: 62-43=19, Resulting Numbers: [19]
19,71 unequal: No Solution
Exploring Operation: 62+43=105, Resulting Numbers: [105]
105,71 unequal: No Solution
Exploring Operation: 62*43=2666, Resulting Numbers: [2666]
2666,71 unequal: No Solution
Moving to Node #0,2,3
Current State: 71:[86, 105], Operations: ['80-18=62', '43+62=105']
Exploring Operation: 86*105=9030, Resulting Numbers: [9030]
9030,71 unequal: No Solution
Exploring Operation: 105-86=19, Resulting Numbers: [19]
19,71 unequal: No Solution
Exploring Operation: 86+105=191, Resulting Numbers: [191]
191,71 unequal: No Solution
Moving to Node #0,0,2
Current State: 71:[80, 111], Operations: ['86-18=68', '43+68=111']
Exploring Operation: 80+111=191, Resulting Numbers: [191]
191,71 unequal: No Solution
Exploring Operation: 111-80=31, Resulting Numbers: [31]
31,71 unequal: No Solution
Exploring Operation: 80*111=8880, Resulting Numbers: [8880]
8880,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[68, 123], Operations: ['86-18=68', '43+80=123']
Exploring Operation: 68+123=191, Resulting Numbers: [191]
191,71 unequal: No Solution
Exploring Operation: 123-68=55, Resulting Numbers: [55]
55,71 unequal: No Solution
Exploring Operation: 68*123=8364, Resulting Numbers: [8364]
8364,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[80, 25], Operations: ['86-18=68', '68-43=25']
Exploring Operation: 80-25=55, Resulting Numbers: [55]
55,71 unequal: No Solution
Exploring Operation: 80+25=105, Resulting Numbers: [105]
105,71 unequal: No Solution
Exploring Operation: 80*25=2000, Resulting Numbers: [2000]
2000,71 unequal: No Solution
Moving to Node #0,2,1
Current State: 71:[86, 19], Operations: ['80-18=62', '62-43=19']
Exploring Operation: 86*19=1634, Resulting Numbers: [1634]
1634,71 unequal: No Solution
Exploring Operation: 86+19=105, Resulting Numbers: [105]
105,71 unequal: No Solution
Exploring Operation: 86-19=67, Resulting Numbers: [67]
67,71 unequal: No Solution
Moving to Node #0,3,0
Current State: 71:[104, 37], Operations: ['86+18=104', '80-43=37']
Exploring Operation: 104+37=141, Resulting Numbers: [141]
141,71 unequal: No Solution
Exploring Operation: 104*37=3848, Resulting Numbers: [3848]
3848,71 unequal: No Solution
Exploring Operation: 104-37=67, Resulting Numbers: [67]
67,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[62, 129], Operations: ['80-18=62', '86+43=129']
Exploring Operation: 62*129=7998, Resulting Numbers: [7998]
7998,71 unequal: No Solution
Exploring Operation: 129-62=67, Resulting Numbers: [67]
67,71 unequal: No Solution
Exploring Operation: 62+129=191, Resulting Numbers: [191]
191,71 unequal: No Solution
Moving to Node #0,3,1
Current State: 71:[43, 24], Operations: ['86+18=104', '104-80=24']
Exploring Operation: 43*24=1032, Resulting Numbers: [1032]
1032,71 unequal: No Solution
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,71 unequal: No Solution
Exploring Operation: 43+24=67, Resulting Numbers: [67]
67,71 unequal: No Solution
Moving to Node #0,3,2
Current State: 71:[104, 123], Operations: ['86+18=104', '43+80=123']
Exploring Operation: 104*123=12792, Resulting Numbers: [12792]
12792,71 unequal: No Solution
Exploring Operation: 104+123=227, Resulting Numbers: [227]
227,71 unequal: No Solution
Exploring Operation: 123-104=19, Resulting Numbers: [19]
19,71 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
87,
5,
85,
81
] | 43 | [
"87-85=2",
"5+81=86",
"86/2=43"
] | Current State: 43:[87, 5, 85, 81], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [5, 81, 2]
Generated Node #2: [5, 81, 2] from Operation: 87-85=2
Current State: 43:[5, 81, 2], Operations: ['87-85=2']
Exploring Operation: 5+81=86, Resulting Numbers: [2, 86]
Generated Node #3: [2, 86] from Operation: 5+81=86
Current State: 43:[2, 86], Operations: ['87-85=2', '5+81=86']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[87, 5, 85, 81], Operations: []
Exploring Operation: 85/5=17, Resulting Numbers: [87, 81, 17]
Generated Node #0,0: 43:[87, 81, 17] Operation: 85/5=17
Moving to Node #0,0
Current State: 43:[87, 81, 17], Operations: ['85/5=17']
Exploring Operation: 87-81=6, Resulting Numbers: [17, 6]
Generated Node #0,0,0: 43:[17, 6] Operation: 87-81=6
Moving to Node #0,0,0
Current State: 43:[17, 6], Operations: ['85/5=17', '87-81=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,43 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
63,
26,
69,
63
] | 43 | [
"63+26=89",
"69+63=132",
"132-89=43"
] | Current State: 43:[63, 26, 69, 63], Operations: []
Exploring Operation: 63+26=89, Resulting Numbers: [69, 89]
Generated Node #2: [69, 89] from Operation: 63+26=89
Current State: 43:[69, 89], Operations: ['63+26=89']
Exploring Operation: 69+63=132, Resulting Numbers: [89, 132]
Generated Node #3: [89, 132] from Operation: 69+63=132
Current State: 43:[89, 132], Operations: ['63+26=89', '69+63=132']
Exploring Operation: 132-89=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[63, 26, 69, 63], Operations: []
Exploring Operation: 63-26=37, Resulting Numbers: [63, 69, 37]
Generated Node #0,0: 43:[63, 69, 37] Operation: 63-26=37
Exploring Operation: 69-63=6, Resulting Numbers: [63, 26, 6]
Generated Node #0,1: 43:[63, 26, 6] Operation: 69-63=6
Exploring Operation: 69-26=43, Resulting Numbers: [63, 63, 43]
Generated Node #0,2: 43:[63, 63, 43] Operation: 69-26=43
Exploring Operation: 63-26=37, Resulting Numbers: [69, 63, 37]
Generated Node #0,3: 43:[69, 63, 37] Operation: 63-26=37
Exploring Operation: 69-63=6, Resulting Numbers: [26, 63, 6]
Generated Node #0,4: 43:[26, 63, 6] Operation: 69-63=6
Start Sub Search at level 1: Moving to Node #0,2
Current State: 43:[63, 63, 43], Operations: ['69-26=43']
Exploring Operation: 63/63=1, Resulting Numbers: [43, 1]
Generated Node #0,2,0: 43:[43, 1] Operation: 63/63=1
Exploring Operation: 63-63=0, Resulting Numbers: [43, 0]
Generated Node #0,2,1: 43:[43, 0] Operation: 63-63=0
Exploring Operation: 63-43=20, Resulting Numbers: [63, 20]
Generated Node #0,2,2: 43:[63, 20] Operation: 63-43=20
Exploring Operation: 63-43=20, Resulting Numbers: [63, 20]
Generated Node #0,2,3: 43:[63, 20] Operation: 63-43=20
Exploring Operation: 63+63=126, Resulting Numbers: [43, 126]
Generated Node #0,2,4: 43:[43, 126] Operation: 63+63=126
Moving to Node #0,2,0
Current State: 43:[43, 1], Operations: ['69-26=43', '63/63=1']
Exploring Operation: 43+1=44, Resulting Numbers: [44]
44,43 unequal: No Solution
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[63, 26, 69, 63], Operations: []
Exploring Operation: 69-26=43, Resulting Numbers: [63, 63, 43]
Generated Node #0,2: 43:[63, 63, 43] Operation: 69-26=43
Moving to Node #0,2
Current State: 43:[63, 63, 43], Operations: ['69-26=43']
Exploring Operation: 63/63=1, Resulting Numbers: [43, 1]
Generated Node #0,2,0: 43:[43, 1] Operation: 63/63=1
Moving to Node #0,2,0
Current State: 43:[43, 1], Operations: ['69-26=43', '63/63=1']
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
38,
27,
68,
64
] | 67 | [
"38+27=65",
"68+64=132",
"132-65=67"
] | Current State: 67:[38, 27, 68, 64], Operations: []
Exploring Operation: 38+27=65, Resulting Numbers: [68, 64, 65]
Generated Node #2: [68, 64, 65] from Operation: 38+27=65
Current State: 67:[68, 64, 65], Operations: ['38+27=65']
Exploring Operation: 68+64=132, Resulting Numbers: [65, 132]
Generated Node #3: [65, 132] from Operation: 68+64=132
Current State: 67:[65, 132], Operations: ['38+27=65', '68+64=132']
Exploring Operation: 132-65=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[38, 27, 68, 64], Operations: []
Exploring Operation: 27+64=91, Resulting Numbers: [38, 68, 91]
Generated Node #0,0: 67:[38, 68, 91] Operation: 27+64=91
Exploring Operation: 38+27=65, Resulting Numbers: [68, 64, 65]
Generated Node #0,1: 67:[68, 64, 65] Operation: 38+27=65
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[68, 64, 65], Operations: ['38+27=65']
Exploring Operation: 68-64=4, Resulting Numbers: [65, 4]
Generated Node #0,1,0: 67:[65, 4] Operation: 68-64=4
Exploring Operation: 64+65=129, Resulting Numbers: [68, 129]
Generated Node #0,1,1: 67:[68, 129] Operation: 64+65=129
Moving to Node #0,1,1
Current State: 67:[68, 129], Operations: ['38+27=65', '64+65=129']
Exploring Operation: 129-68=61, Resulting Numbers: [61]
61,67 unequal: No Solution
Exploring Operation: 68+129=197, Resulting Numbers: [197]
197,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[65, 4], Operations: ['38+27=65', '68-64=4']
Exploring Operation: 65+4=69, Resulting Numbers: [69]
69,67 unequal: No Solution
Exploring Operation: 65-4=61, Resulting Numbers: [61]
61,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[38, 68, 91], Operations: ['27+64=91']
Exploring Operation: 91-38=53, Resulting Numbers: [68, 53]
Generated Node #0,0,0: 67:[68, 53] Operation: 91-38=53
Exploring Operation: 68-38=30, Resulting Numbers: [91, 30]
Generated Node #0,0,1: 67:[91, 30] Operation: 68-38=30
Moving to Node #0,0,0
Current State: 67:[68, 53], Operations: ['27+64=91', '91-38=53']
Exploring Operation: 68-53=15, Resulting Numbers: [15]
15,67 unequal: No Solution
Exploring Operation: 68+53=121, Resulting Numbers: [121]
121,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[91, 30], Operations: ['27+64=91', '68-38=30']
Exploring Operation: 91+30=121, Resulting Numbers: [121]
121,67 unequal: No Solution
Exploring Operation: 91-30=61, Resulting Numbers: [61]
61,67 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 |
[
2,
43,
30,
64
] | 41 | [
"2+30=32",
"64/32=2",
"43-2=41"
] | Current State: 41:[2, 43, 30, 64], Operations: []
Exploring Operation: 2+30=32, Resulting Numbers: [43, 64, 32]
Generated Node #2: [43, 64, 32] from Operation: 2+30=32
Current State: 41:[43, 64, 32], Operations: ['2+30=32']
Exploring Operation: 64/32=2, Resulting Numbers: [43, 2]
Generated Node #3: [43, 2] from Operation: 64/32=2
Current State: 41:[43, 2], Operations: ['2+30=32', '64/32=2']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[2, 43, 30, 64], Operations: []
Exploring Operation: 43-2=41, Resulting Numbers: [30, 64, 41]
Generated Node #0,0: 41:[30, 64, 41] Operation: 43-2=41
Exploring Operation: 2+30=32, Resulting Numbers: [43, 64, 32]
Generated Node #0,1: 41:[43, 64, 32] Operation: 2+30=32
Exploring Operation: 64/2=32, Resulting Numbers: [43, 30, 32]
Generated Node #0,2: 41:[43, 30, 32] Operation: 64/2=32
Moving to Node #0,2
Current State: 41:[43, 30, 32], Operations: ['64/2=32']
Exploring Operation: 30+32=62, Resulting Numbers: [43, 62]
Generated Node #0,2,0: 41:[43, 62] Operation: 30+32=62
Exploring Operation: 43+30=73, Resulting Numbers: [32, 73]
Generated Node #0,2,1: 41:[32, 73] Operation: 43+30=73
Exploring Operation: 43-30=13, Resulting Numbers: [32, 13]
Generated Node #0,2,2: 41:[32, 13] Operation: 43-30=13
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 41:[43, 62], Operations: ['64/2=32', '30+32=62']
Exploring Operation: 62-43=19, Resulting Numbers: [19]
19,41 unequal: No Solution
Exploring Operation: 43+62=105, Resulting Numbers: [105]
105,41 unequal: No Solution
Exploring Operation: 43*62=2666, Resulting Numbers: [2666]
2666,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 41:[32, 13], Operations: ['64/2=32', '43-30=13']
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,41 unequal: No Solution
Exploring Operation: 32*13=416, Resulting Numbers: [416]
416,41 unequal: No Solution
Exploring Operation: 32+13=45, Resulting Numbers: [45]
45,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 41:[32, 73], Operations: ['64/2=32', '43+30=73']
Exploring Operation: 32+73=105, Resulting Numbers: [105]
105,41 unequal: No Solution
Exploring Operation: 32*73=2336, Resulting Numbers: [2336]
2336,41 unequal: No Solution
Exploring Operation: 73-32=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[2, 43, 30, 64], Operations: []
Exploring Operation: 64/2=32, Resulting Numbers: [43, 30, 32]
Generated Node #0,2: 41:[43, 30, 32] Operation: 64/2=32
Moving to Node #0,2
Current State: 41:[43, 30, 32], Operations: ['64/2=32']
Exploring Operation: 43+30=73, Resulting Numbers: [32, 73]
Generated Node #0,2,1: 41:[32, 73] Operation: 43+30=73
Moving to Node #0,2,1
Current State: 41:[32, 73], Operations: ['64/2=32', '43+30=73']
Exploring Operation: 73-32=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
19,
97,
79,
27
] | 26 | [
"97-19=78",
"79-27=52",
"78-52=26"
] | Current State: 26:[19, 97, 79, 27], Operations: []
Exploring Operation: 97-19=78, Resulting Numbers: [79, 27, 78]
Generated Node #2: [79, 27, 78] from Operation: 97-19=78
Current State: 26:[79, 27, 78], Operations: ['97-19=78']
Exploring Operation: 79-27=52, Resulting Numbers: [78, 52]
Generated Node #3: [78, 52] from Operation: 79-27=52
Current State: 26:[78, 52], Operations: ['97-19=78', '79-27=52']
Exploring Operation: 78-52=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[19, 97, 79, 27], Operations: []
Exploring Operation: 97-19=78, Resulting Numbers: [79, 27, 78]
Generated Node #0,0: 26:[79, 27, 78] Operation: 97-19=78
Exploring Operation: 79-27=52, Resulting Numbers: [19, 97, 52]
Generated Node #0,1: 26:[19, 97, 52] Operation: 79-27=52
Exploring Operation: 97-79=18, Resulting Numbers: [19, 27, 18]
Generated Node #0,2: 26:[19, 27, 18] Operation: 97-79=18
Exploring Operation: 97-27=70, Resulting Numbers: [19, 79, 70]
Generated Node #0,3: 26:[19, 79, 70] Operation: 97-27=70
Moving to Node #0,2
Current State: 26:[19, 27, 18], Operations: ['97-79=18']
Exploring Operation: 19-18=1, Resulting Numbers: [27, 1]
Generated Node #0,2,0: 26:[27, 1] Operation: 19-18=1
Exploring Operation: 27-19=8, Resulting Numbers: [18, 8]
Generated Node #0,2,1: 26:[18, 8] Operation: 27-19=8
Exploring Operation: 27-18=9, Resulting Numbers: [19, 9]
Generated Node #0,2,2: 26:[19, 9] Operation: 27-18=9
Exploring Operation: 19+18=37, Resulting Numbers: [27, 37]
Generated Node #0,2,3: 26:[27, 37] Operation: 19+18=37
Moving to Node #0,3
Current State: 26:[19, 79, 70], Operations: ['97-27=70']
Exploring Operation: 19+79=98, Resulting Numbers: [70, 98]
Generated Node #0,3,0: 26:[70, 98] Operation: 19+79=98
Exploring Operation: 70-19=51, Resulting Numbers: [79, 51]
Generated Node #0,3,1: 26:[79, 51] Operation: 70-19=51
Exploring Operation: 79-70=9, Resulting Numbers: [19, 9]
Generated Node #0,3,2: 26:[19, 9] Operation: 79-70=9
Exploring Operation: 79-19=60, Resulting Numbers: [70, 60]
Generated Node #0,3,3: 26:[70, 60] Operation: 79-19=60
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 26:[19, 9], Operations: ['97-27=70', '79-70=9']
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,26 unequal: No Solution
Exploring Operation: 19*9=171, Resulting Numbers: [171]
171,26 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:[79, 51], Operations: ['97-27=70', '70-19=51']
Exploring Operation: 79+51=130, Resulting Numbers: [130]
130,26 unequal: No Solution
Exploring Operation: 79-51=28, Resulting Numbers: [28]
28,26 unequal: No Solution
Exploring Operation: 79*51=4029, Resulting Numbers: [4029]
4029,26 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:[70, 60], Operations: ['97-27=70', '79-19=60']
Exploring Operation: 70*60=4200, Resulting Numbers: [4200]
4200,26 unequal: No Solution
Exploring Operation: 70+60=130, Resulting Numbers: [130]
130,26 unequal: No Solution
Exploring Operation: 70-60=10, Resulting Numbers: [10]
10,26 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:[70, 98], Operations: ['97-27=70', '19+79=98']
Exploring Operation: 70+98=168, Resulting Numbers: [168]
168,26 unequal: No Solution
Exploring Operation: 70*98=6860, Resulting Numbers: [6860]
6860,26 unequal: No Solution
Exploring Operation: 98-70=28, Resulting Numbers: [28]
28,26 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:[19, 97, 52], Operations: ['79-27=52']
Exploring Operation: 19+97=116, Resulting Numbers: [52, 116]
Generated Node #0,1,0: 26:[52, 116] Operation: 19+97=116
Exploring Operation: 97-52=45, Resulting Numbers: [19, 45]
Generated Node #0,1,1: 26:[19, 45] Operation: 97-52=45
Exploring Operation: 52-19=33, Resulting Numbers: [97, 33]
Generated Node #0,1,2: 26:[97, 33] Operation: 52-19=33
Exploring Operation: 97-19=78, Resulting Numbers: [52, 78]
Generated Node #0,1,3: 26:[52, 78] Operation: 97-19=78
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 26:[19, 45], Operations: ['79-27=52', '97-52=45']
Exploring Operation: 19*45=855, Resulting Numbers: [855]
855,26 unequal: No Solution
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[19, 97, 79, 27], Operations: []
Exploring Operation: 79-27=52, Resulting Numbers: [19, 97, 52]
Generated Node #0,1: 26:[19, 97, 52] Operation: 79-27=52
Moving to Node #0,1
Current State: 26:[19, 97, 52], Operations: ['79-27=52']
Exploring Operation: 97-52=45, Resulting Numbers: [19, 45]
Generated Node #0,1,1: 26:[19, 45] Operation: 97-52=45
Moving to Node #0,1,1
Current State: 26:[19, 45], Operations: ['79-27=52', '97-52=45']
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 | hs_4 | sum_heuristic |
[
5,
7,
49,
67
] | 65 | [
"5+67=72",
"49/7=7",
"72-7=65"
] | Current State: 65:[5, 7, 49, 67], Operations: []
Exploring Operation: 5+67=72, Resulting Numbers: [7, 49, 72]
Generated Node #2: [7, 49, 72] from Operation: 5+67=72
Current State: 65:[7, 49, 72], Operations: ['5+67=72']
Exploring Operation: 49/7=7, Resulting Numbers: [72, 7]
Generated Node #3: [72, 7] from Operation: 49/7=7
Current State: 65:[72, 7], Operations: ['5+67=72', '49/7=7']
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[5, 7, 49, 67], Operations: []
Exploring Operation: 49/7=7, Resulting Numbers: [5, 67, 7]
Generated Node #0,0: 65:[5, 67, 7] Operation: 49/7=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[5, 67, 7], Operations: ['49/7=7']
Exploring Operation: 5+7=12, Resulting Numbers: [67, 12]
Generated Node #0,0,0: 65:[67, 12] Operation: 5+7=12
Moving to Node #0,0,0
Current State: 65:[67, 12], Operations: ['49/7=7', '5+7=12']
Exploring Operation: 67-12=55, Resulting Numbers: [55]
55,65 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 |
[
55,
19,
62,
24
] | 53 | [
"62-24=38",
"38/19=2",
"55-2=53"
] | Current State: 53:[55, 19, 62, 24], Operations: []
Exploring Operation: 62-24=38, Resulting Numbers: [55, 19, 38]
Generated Node #2: [55, 19, 38] from Operation: 62-24=38
Current State: 53:[55, 19, 38], Operations: ['62-24=38']
Exploring Operation: 38/19=2, Resulting Numbers: [55, 2]
Generated Node #3: [55, 2] from Operation: 38/19=2
Current State: 53:[55, 2], Operations: ['62-24=38', '38/19=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[55, 19, 62, 24], Operations: []
Exploring Operation: 19+24=43, Resulting Numbers: [55, 62, 43]
Generated Node #0,0: 53:[55, 62, 43] Operation: 19+24=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[55, 62, 43], Operations: ['19+24=43']
Exploring Operation: 62-43=19, Resulting Numbers: [55, 19]
Generated Node #0,0,0: 53:[55, 19] Operation: 62-43=19
Moving to Node #0,0,0
Current State: 53:[55, 19], Operations: ['19+24=43', '62-43=19']
Exploring Operation: 55-19=36, Resulting Numbers: [36]
36,53 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 |
[
78,
30,
40,
26
] | 34 | [
"78-30=48",
"40-26=14",
"48-14=34"
] | Current State: 34:[78, 30, 40, 26], Operations: []
Exploring Operation: 78-30=48, Resulting Numbers: [40, 26, 48]
Generated Node #2: [40, 26, 48] from Operation: 78-30=48
Current State: 34:[40, 26, 48], Operations: ['78-30=48']
Exploring Operation: 40-26=14, Resulting Numbers: [48, 14]
Generated Node #3: [48, 14] from Operation: 40-26=14
Current State: 34:[48, 14], Operations: ['78-30=48', '40-26=14']
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[78, 30, 40, 26], Operations: []
Exploring Operation: 78-26=52, Resulting Numbers: [30, 40, 52]
Generated Node #0,0: 34:[30, 40, 52] Operation: 78-26=52
Exploring Operation: 78/26=3, Resulting Numbers: [30, 40, 3]
Generated Node #0,1: 34:[30, 40, 3] Operation: 78/26=3
Exploring Operation: 40-26=14, Resulting Numbers: [78, 30, 14]
Generated Node #0,2: 34:[78, 30, 14] Operation: 40-26=14
Exploring Operation: 78-30=48, Resulting Numbers: [40, 26, 48]
Generated Node #0,3: 34:[40, 26, 48] Operation: 78-30=48
Exploring Operation: 78-40=38, Resulting Numbers: [30, 26, 38]
Generated Node #0,4: 34:[30, 26, 38] Operation: 78-40=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[30, 40, 3], Operations: ['78/26=3']
Exploring Operation: 40-30=10, Resulting Numbers: [3, 10]
Generated Node #0,1,0: 34:[3, 10] Operation: 40-30=10
Exploring Operation: 30-3=27, Resulting Numbers: [40, 27]
Generated Node #0,1,1: 34:[40, 27] Operation: 30-3=27
Exploring Operation: 30+3=33, Resulting Numbers: [40, 33]
Generated Node #0,1,2: 34:[40, 33] Operation: 30+3=33
Exploring Operation: 30/3=10, Resulting Numbers: [40, 10]
Generated Node #0,1,3: 34:[40, 10] Operation: 30/3=10
Exploring Operation: 40-3=37, Resulting Numbers: [30, 37]
Generated Node #0,1,4: 34:[30, 37] Operation: 40-3=37
Moving to Node #0,1,2
Current State: 34:[40, 33], Operations: ['78/26=3', '30+3=33']
Exploring Operation: 40+33=73, Resulting Numbers: [73]
73,34 unequal: No Solution
Exploring Operation: 40-33=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 40*33=1320, Resulting Numbers: [1320]
1320,34 unequal: No Solution
Moving to Node #0,1,4
Current State: 34:[30, 37], Operations: ['78/26=3', '40-3=37']
Exploring Operation: 37-30=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 30+37=67, Resulting Numbers: [67]
67,34 unequal: No Solution
Exploring Operation: 30*37=1110, Resulting Numbers: [1110]
1110,34 unequal: No Solution
Moving to Node #0,1,0
Current State: 34:[3, 10], Operations: ['78/26=3', '40-30=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,34 unequal: No Solution
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,34 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Moving to Node #0,1,1
Current State: 34:[40, 27], Operations: ['78/26=3', '30-3=27']
Exploring Operation: 40+27=67, Resulting Numbers: [67]
67,34 unequal: No Solution
Exploring Operation: 40*27=1080, Resulting Numbers: [1080]
1080,34 unequal: No Solution
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,34 unequal: No Solution
Moving to Node #0,1,3
Current State: 34:[40, 10], Operations: ['78/26=3', '30/3=10']
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,34 unequal: No Solution
Exploring Operation: 40*10=400, Resulting Numbers: [400]
400,34 unequal: No Solution
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,34 unequal: No Solution
Exploring Operation: 40+10=50, Resulting Numbers: [50]
50,34 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 #0,4
Current State: 34:[30, 26, 38], Operations: ['78-40=38']
Exploring Operation: 30+26=56, Resulting Numbers: [38, 56]
Generated Node #0,4,0: 34:[38, 56] Operation: 30+26=56
Exploring Operation: 38-30=8, Resulting Numbers: [26, 8]
Generated Node #0,4,1: 34:[26, 8] Operation: 38-30=8
Exploring Operation: 30-26=4, Resulting Numbers: [38, 4]
Generated Node #0,4,2: 34:[38, 4] Operation: 30-26=4
Exploring Operation: 26+38=64, Resulting Numbers: [30, 64]
Generated Node #0,4,3: 34:[30, 64] Operation: 26+38=64
Exploring Operation: 38-26=12, Resulting Numbers: [30, 12]
Generated Node #0,4,4: 34:[30, 12] Operation: 38-26=12
Moving to Node #0,4,2
Current State: 34:[38, 4], Operations: ['78-40=38', '30-26=4']
Exploring Operation: 38*4=152, Resulting Numbers: [152]
152,34 unequal: No Solution
Exploring Operation: 38+4=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[78, 30, 40, 26], Operations: []
Exploring Operation: 78-40=38, Resulting Numbers: [30, 26, 38]
Generated Node #0,4: 34:[30, 26, 38] Operation: 78-40=38
Moving to Node #0,4
Current State: 34:[30, 26, 38], Operations: ['78-40=38']
Exploring Operation: 30-26=4, Resulting Numbers: [38, 4]
Generated Node #0,4,2: 34:[38, 4] Operation: 30-26=4
Moving to Node #0,4,2
Current State: 34:[38, 4], Operations: ['78-40=38', '30-26=4']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 | hs_5 | sum_heuristic |
[
52,
80,
71,
41
] | 58 | [
"80-52=28",
"71-41=30",
"28+30=58"
] | Current State: 58:[52, 80, 71, 41], Operations: []
Exploring Operation: 80-52=28, Resulting Numbers: [71, 41, 28]
Generated Node #2: [71, 41, 28] from Operation: 80-52=28
Current State: 58:[71, 41, 28], Operations: ['80-52=28']
Exploring Operation: 71-41=30, Resulting Numbers: [28, 30]
Generated Node #3: [28, 30] from Operation: 71-41=30
Current State: 58:[28, 30], Operations: ['80-52=28', '71-41=30']
Exploring Operation: 28+30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[52, 80, 71, 41], Operations: []
Exploring Operation: 80-71=9, Resulting Numbers: [52, 41, 9]
Generated Node #0,0: 58:[52, 41, 9] Operation: 80-71=9
Exploring Operation: 80-52=28, Resulting Numbers: [71, 41, 28]
Generated Node #0,1: 58:[71, 41, 28] Operation: 80-52=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[52, 41, 9], Operations: ['80-71=9']
Exploring Operation: 41+9=50, Resulting Numbers: [52, 50]
Generated Node #0,0,0: 58:[52, 50] Operation: 41+9=50
Exploring Operation: 41-9=32, Resulting Numbers: [52, 32]
Generated Node #0,0,1: 58:[52, 32] Operation: 41-9=32
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 58:[52, 32], Operations: ['80-71=9', '41-9=32']
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,58 unequal: No Solution
Exploring Operation: 52+32=84, Resulting Numbers: [84]
84,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[52, 50], Operations: ['80-71=9', '41+9=50']
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 52+50=102, Resulting Numbers: [102]
102,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[71, 41, 28], Operations: ['80-52=28']
Exploring Operation: 41+28=69, Resulting Numbers: [71, 69]
Generated Node #0,1,0: 58:[71, 69] Operation: 41+28=69
Exploring Operation: 71-41=30, Resulting Numbers: [28, 30]
Generated Node #0,1,1: 58:[28, 30] Operation: 71-41=30
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 58:[28, 30], Operations: ['80-52=28', '71-41=30']
Exploring Operation: 28+30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[52, 80, 71, 41], Operations: []
Exploring Operation: 80-52=28, Resulting Numbers: [71, 41, 28]
Generated Node #0,1: 58:[71, 41, 28] Operation: 80-52=28
Moving to Node #0,1
Current State: 58:[71, 41, 28], Operations: ['80-52=28']
Exploring Operation: 71-41=30, Resulting Numbers: [28, 30]
Generated Node #0,1,1: 58:[28, 30] Operation: 71-41=30
Moving to Node #0,1,1
Current State: 58:[28, 30], Operations: ['80-52=28', '71-41=30']
Exploring Operation: 28+30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
88,
64,
10,
26
] | 22 | [
"26-10=16",
"88*16=1408",
"1408/64=22"
] | Current State: 22:[88, 64, 10, 26], Operations: []
Exploring Operation: 26-10=16, Resulting Numbers: [88, 64, 16]
Generated Node #2: [88, 64, 16] from Operation: 26-10=16
Current State: 22:[88, 64, 16], Operations: ['26-10=16']
Exploring Operation: 88*16=1408, Resulting Numbers: [64, 1408]
Generated Node #3: [64, 1408] from Operation: 88*16=1408
Current State: 22:[64, 1408], Operations: ['26-10=16', '88*16=1408']
Exploring Operation: 1408/64=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[88, 64, 10, 26], Operations: []
Exploring Operation: 88-26=62, Resulting Numbers: [64, 10, 62]
Generated Node #0,0: 22:[64, 10, 62] Operation: 88-26=62
Exploring Operation: 88-64=24, Resulting Numbers: [10, 26, 24]
Generated Node #0,1: 22:[10, 26, 24] Operation: 88-64=24
Moving to Node #0,1
Current State: 22:[10, 26, 24], Operations: ['88-64=24']
Exploring Operation: 26-24=2, Resulting Numbers: [10, 2]
Generated Node #0,1,0: 22:[10, 2] Operation: 26-24=2
Exploring Operation: 26-10=16, Resulting Numbers: [24, 16]
Generated Node #0,1,1: 22:[24, 16] Operation: 26-10=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 22:[10, 2], Operations: ['88-64=24', '26-24=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,22 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,22 unequal: No Solution
No 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: 22:[24, 16], Operations: ['88-64=24', '26-10=16']
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,22 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: 22:[64, 10, 62], Operations: ['88-26=62']
Exploring Operation: 64-62=2, Resulting Numbers: [10, 2]
Generated Node #0,0,0: 22:[10, 2] Operation: 64-62=2
Exploring Operation: 64-10=54, Resulting Numbers: [62, 54]
Generated Node #0,0,1: 22:[62, 54] Operation: 64-10=54
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[10, 2], Operations: ['88-26=62', '64-62=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,22 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,22 unequal: No Solution
No 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: 22:[62, 54], Operations: ['88-26=62', '64-10=54']
Exploring Operation: 62+54=116, Resulting Numbers: [116]
116,22 unequal: No Solution
Exploring Operation: 62-54=8, Resulting Numbers: [8]
8,22 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 |
[
6,
12,
89,
53
] | 71 | [
"12/6=2",
"89+53=142",
"142/2=71"
] | Current State: 71:[6, 12, 89, 53], Operations: []
Exploring Operation: 12/6=2, Resulting Numbers: [89, 53, 2]
Generated Node #2: [89, 53, 2] from Operation: 12/6=2
Current State: 71:[89, 53, 2], Operations: ['12/6=2']
Exploring Operation: 89+53=142, Resulting Numbers: [2, 142]
Generated Node #3: [2, 142] from Operation: 89+53=142
Current State: 71:[2, 142], Operations: ['12/6=2', '89+53=142']
Exploring Operation: 142/2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[6, 12, 89, 53], Operations: []
Exploring Operation: 6+12=18, Resulting Numbers: [89, 53, 18]
Generated Node #0,0: 71:[89, 53, 18] Operation: 6+12=18
Exploring Operation: 6*12=72, Resulting Numbers: [89, 53, 72]
Generated Node #0,1: 71:[89, 53, 72] Operation: 6*12=72
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[89, 53, 72], Operations: ['6*12=72']
Exploring Operation: 72-53=19, Resulting Numbers: [89, 19]
Generated Node #0,1,0: 71:[89, 19] Operation: 72-53=19
Exploring Operation: 89-53=36, Resulting Numbers: [72, 36]
Generated Node #0,1,1: 71:[72, 36] Operation: 89-53=36
Moving to Node #0,1,1
Current State: 71:[72, 36], Operations: ['6*12=72', '89-53=36']
Exploring Operation: 72-36=36, Resulting Numbers: [36]
36,71 unequal: No Solution
Exploring Operation: 72+36=108, Resulting Numbers: [108]
108,71 unequal: No Solution
Moving to Node #0,1,0
Current State: 71:[89, 19], Operations: ['6*12=72', '72-53=19']
Exploring Operation: 89-19=70, Resulting Numbers: [70]
70,71 unequal: No Solution
Exploring Operation: 89+19=108, Resulting Numbers: [108]
108,71 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
Current State: 71:[89, 53, 18], Operations: ['6+12=18']
Exploring Operation: 89-18=71, Resulting Numbers: [53, 71]
Generated Node #0,0,0: 71:[53, 71] Operation: 89-18=71
Exploring Operation: 53+18=71, Resulting Numbers: [89, 71]
Generated Node #0,0,1: 71:[89, 71] Operation: 53+18=71
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 71:[53, 71], Operations: ['6+12=18', '89-18=71']
Exploring Operation: 53+71=124, Resulting Numbers: [124]
124,71 unequal: No Solution
Exploring Operation: 71-53=18, Resulting Numbers: [18]
18,71 unequal: No Solution
No 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: 71:[89, 71], Operations: ['6+12=18', '53+18=71']
Exploring Operation: 89-71=18, Resulting Numbers: [18]
18,71 unequal: No Solution
Exploring Operation: 89+71=160, Resulting Numbers: [160]
160,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
46,
50,
60,
88
] | 38 | [
"50-46=4",
"88/4=22",
"60-22=38"
] | Current State: 38:[46, 50, 60, 88], Operations: []
Exploring Operation: 50-46=4, Resulting Numbers: [60, 88, 4]
Generated Node #2: [60, 88, 4] from Operation: 50-46=4
Current State: 38:[60, 88, 4], Operations: ['50-46=4']
Exploring Operation: 88/4=22, Resulting Numbers: [60, 22]
Generated Node #3: [60, 22] from Operation: 88/4=22
Current State: 38:[60, 22], Operations: ['50-46=4', '88/4=22']
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[46, 50, 60, 88], Operations: []
Exploring Operation: 88-60=28, Resulting Numbers: [46, 50, 28]
Generated Node #0,0: 38:[46, 50, 28] Operation: 88-60=28
Exploring Operation: 60-50=10, Resulting Numbers: [46, 88, 10]
Generated Node #0,1: 38:[46, 88, 10] Operation: 60-50=10
Exploring Operation: 88-50=38, Resulting Numbers: [46, 60, 38]
Generated Node #0,2: 38:[46, 60, 38] Operation: 88-50=38
Exploring Operation: 88-46=42, Resulting Numbers: [50, 60, 42]
Generated Node #0,3: 38:[50, 60, 42] Operation: 88-46=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[46, 50, 28], Operations: ['88-60=28']
Exploring Operation: 46+28=74, Resulting Numbers: [50, 74]
Generated Node #0,0,0: 38:[50, 74] Operation: 46+28=74
Exploring Operation: 46-28=18, Resulting Numbers: [50, 18]
Generated Node #0,0,1: 38:[50, 18] Operation: 46-28=18
Exploring Operation: 50-28=22, Resulting Numbers: [46, 22]
Generated Node #0,0,2: 38:[46, 22] Operation: 50-28=22
Exploring Operation: 50-46=4, Resulting Numbers: [28, 4]
Generated Node #0,0,3: 38:[28, 4] Operation: 50-46=4
Moving to Node #0,0,2
Current State: 38:[46, 22], Operations: ['88-60=28', '50-28=22']
Exploring Operation: 46-22=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 46+22=68, Resulting Numbers: [68]
68,38 unequal: No Solution
Exploring Operation: 46*22=1012, Resulting Numbers: [1012]
1012,38 unequal: No Solution
Moving to Node #0,0,3
Current State: 38:[28, 4], Operations: ['88-60=28', '50-46=4']
Exploring Operation: 28+4=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Exploring Operation: 28*4=112, Resulting Numbers: [112]
112,38 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,38 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Moving to Node #0,0,1
Current State: 38:[50, 18], Operations: ['88-60=28', '46-28=18']
Exploring Operation: 50*18=900, Resulting Numbers: [900]
900,38 unequal: No Solution
Exploring Operation: 50-18=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Exploring Operation: 50+18=68, Resulting Numbers: [68]
68,38 unequal: No Solution
Moving to Node #0,0,0
Current State: 38:[50, 74], Operations: ['88-60=28', '46+28=74']
Exploring Operation: 50*74=3700, Resulting Numbers: [3700]
3700,38 unequal: No Solution
Exploring Operation: 74-50=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 50+74=124, Resulting Numbers: [124]
124,38 unequal: No Solution
No 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:[46, 60, 38], Operations: ['88-50=38']
Exploring Operation: 46+60=106, Resulting Numbers: [38, 106]
Generated Node #0,2,0: 38:[38, 106] Operation: 46+60=106
Exploring Operation: 60-46=14, Resulting Numbers: [38, 14]
Generated Node #0,2,1: 38:[38, 14] Operation: 60-46=14
Exploring Operation: 46-38=8, Resulting Numbers: [60, 8]
Generated Node #0,2,2: 38:[60, 8] Operation: 46-38=8
Exploring Operation: 60-38=22, Resulting Numbers: [46, 22]
Generated Node #0,2,3: 38:[46, 22] Operation: 60-38=22
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 38:[38, 14], Operations: ['88-50=38', '60-46=14']
Exploring Operation: 38*14=532, Resulting Numbers: [532]
532,38 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,38 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:[46, 22], Operations: ['88-50=38', '60-38=22']
Exploring Operation: 46*22=1012, Resulting Numbers: [1012]
1012,38 unequal: No Solution
Exploring Operation: 46-22=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 46+22=68, Resulting Numbers: [68]
68,38 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:[60, 8], Operations: ['88-50=38', '46-38=8']
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,38 unequal: No Solution
Exploring Operation: 60+8=68, Resulting Numbers: [68]
68,38 unequal: No Solution
Exploring Operation: 60*8=480, Resulting Numbers: [480]
480,38 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:[38, 106], Operations: ['88-50=38', '46+60=106']
Exploring Operation: 38+106=144, Resulting Numbers: [144]
144,38 unequal: No Solution
Exploring Operation: 38*106=4028, Resulting Numbers: [4028]
4028,38 unequal: No Solution
Exploring Operation: 106-38=68, Resulting Numbers: [68]
68,38 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:[50, 60, 42], Operations: ['88-46=42']
Exploring Operation: 60-50=10, Resulting Numbers: [42, 10]
Generated Node #0,3,0: 38:[42, 10] Operation: 60-50=10
Exploring Operation: 60-42=18, Resulting Numbers: [50, 18]
Generated Node #0,3,1: 38:[50, 18] Operation: 60-42=18
Exploring Operation: 50+60=110, Resulting Numbers: [42, 110]
Generated Node #0,3,2: 38:[42, 110] Operation: 50+60=110
Exploring Operation: 50-42=8, Resulting Numbers: [60, 8]
Generated Node #0,3,3: 38:[60, 8] Operation: 50-42=8
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 38:[42, 10], Operations: ['88-46=42', '60-50=10']
Exploring Operation: 42*10=420, Resulting Numbers: [420]
420,38 unequal: No Solution
Exploring Operation: 42+10=52, Resulting Numbers: [52]
52,38 unequal: No Solution
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,38 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:[50, 18], Operations: ['88-46=42', '60-42=18']
Exploring Operation: 50+18=68, Resulting Numbers: [68]
68,38 unequal: No Solution
Exploring Operation: 50*18=900, Resulting Numbers: [900]
900,38 unequal: No Solution
Exploring Operation: 50-18=32, Resulting Numbers: [32]
32,38 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:[60, 8], Operations: ['88-46=42', '50-42=8']
Exploring Operation: 60+8=68, Resulting Numbers: [68]
68,38 unequal: No Solution
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,38 unequal: No Solution
Exploring Operation: 60*8=480, Resulting Numbers: [480]
480,38 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:[42, 110], Operations: ['88-46=42', '50+60=110']
Exploring Operation: 42*110=4620, Resulting Numbers: [4620]
4620,38 unequal: No Solution
Exploring Operation: 42+110=152, Resulting Numbers: [152]
152,38 unequal: No Solution
Exploring Operation: 110-42=68, Resulting Numbers: [68]
68,38 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:[46, 88, 10], Operations: ['60-50=10']
Exploring Operation: 88-10=78, Resulting Numbers: [46, 78]
Generated Node #0,1,0: 38:[46, 78] Operation: 88-10=78
Exploring Operation: 88-46=42, Resulting Numbers: [10, 42]
Generated Node #0,1,1: 38:[10, 42] Operation: 88-46=42
Exploring Operation: 46+10=56, Resulting Numbers: [88, 56]
Generated Node #0,1,2: 38:[88, 56] Operation: 46+10=56
Exploring Operation: 46-10=36, Resulting Numbers: [88, 36]
Generated Node #0,1,3: 38:[88, 36] Operation: 46-10=36
Moving to Node #0,1,1
Current State: 38:[10, 42], Operations: ['60-50=10', '88-46=42']
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Exploring Operation: 10+42=52, Resulting Numbers: [52]
52,38 unequal: No Solution
Exploring Operation: 10*42=420, Resulting Numbers: [420]
420,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[46, 78], Operations: ['60-50=10', '88-10=78']
Exploring Operation: 78-46=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Exploring Operation: 46+78=124, Resulting Numbers: [124]
124,38 unequal: No Solution
Exploring Operation: 46*78=3588, Resulting Numbers: [3588]
3588,38 unequal: No Solution
Moving to Node #0,1,3
Current State: 38:[88, 36], Operations: ['60-50=10', '46-10=36']
Exploring Operation: 88+36=124, Resulting Numbers: [124]
124,38 unequal: No Solution
Exploring Operation: 88-36=52, Resulting Numbers: [52]
52,38 unequal: No Solution
Exploring Operation: 88*36=3168, Resulting Numbers: [3168]
3168,38 unequal: No Solution
Moving to Node #0,1,2
Current State: 38:[88, 56], Operations: ['60-50=10', '46+10=56']
Exploring Operation: 88-56=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Exploring Operation: 88*56=4928, Resulting Numbers: [4928]
4928,38 unequal: No Solution
Exploring Operation: 88+56=144, Resulting Numbers: [144]
144,38 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 |
[
89,
34,
21,
14
] | 93 | [
"34-21=13",
"14*13=182",
"182-89=93"
] | Current State: 93:[89, 34, 21, 14], Operations: []
Exploring Operation: 34-21=13, Resulting Numbers: [89, 14, 13]
Generated Node #2: [89, 14, 13] from Operation: 34-21=13
Current State: 93:[89, 14, 13], Operations: ['34-21=13']
Exploring Operation: 14*13=182, Resulting Numbers: [89, 182]
Generated Node #3: [89, 182] from Operation: 14*13=182
Current State: 93:[89, 182], Operations: ['34-21=13', '14*13=182']
Exploring Operation: 182-89=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[89, 34, 21, 14], Operations: []
Exploring Operation: 89+14=103, Resulting Numbers: [34, 21, 103]
Generated Node #0,0: 93:[34, 21, 103] Operation: 89+14=103
Exploring Operation: 21+14=35, Resulting Numbers: [89, 34, 35]
Generated Node #0,1: 93:[89, 34, 35] Operation: 21+14=35
Exploring Operation: 21-14=7, Resulting Numbers: [89, 34, 7]
Generated Node #0,2: 93:[89, 34, 7] Operation: 21-14=7
Exploring Operation: 34-21=13, Resulting Numbers: [89, 14, 13]
Generated Node #0,3: 93:[89, 14, 13] Operation: 34-21=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[89, 34, 35], Operations: ['21+14=35']
Exploring Operation: 35-34=1, Resulting Numbers: [89, 1]
Generated Node #0,1,0: 93:[89, 1] Operation: 35-34=1
Exploring Operation: 34+35=69, Resulting Numbers: [89, 69]
Generated Node #0,1,1: 93:[89, 69] Operation: 34+35=69
Exploring Operation: 89-35=54, Resulting Numbers: [34, 54]
Generated Node #0,1,2: 93:[34, 54] Operation: 89-35=54
Exploring Operation: 89-34=55, Resulting Numbers: [35, 55]
Generated Node #0,1,3: 93:[35, 55] Operation: 89-34=55
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 93:[89, 1], Operations: ['21+14=35', '35-34=1']
Exploring Operation: 89/1=89, Resulting Numbers: [89]
89,93 unequal: No Solution
Exploring Operation: 89+1=90, Resulting Numbers: [90]
90,93 unequal: No Solution
Exploring Operation: 89*1=89, Resulting Numbers: [89]
89,93 unequal: No Solution
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 93:[34, 54], Operations: ['21+14=35', '89-35=54']
Exploring Operation: 34*54=1836, Resulting Numbers: [1836]
1836,93 unequal: No Solution
Exploring Operation: 54-34=20, Resulting Numbers: [20]
20,93 unequal: No Solution
Exploring Operation: 34+54=88, Resulting Numbers: [88]
88,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 93:[89, 69], Operations: ['21+14=35', '34+35=69']
Exploring Operation: 89+69=158, Resulting Numbers: [158]
158,93 unequal: No Solution
Exploring Operation: 89-69=20, Resulting Numbers: [20]
20,93 unequal: No Solution
Exploring Operation: 89*69=6141, Resulting Numbers: [6141]
6141,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 93:[35, 55], Operations: ['21+14=35', '89-34=55']
Exploring Operation: 35+55=90, Resulting Numbers: [90]
90,93 unequal: No Solution
Exploring Operation: 55-35=20, Resulting Numbers: [20]
20,93 unequal: No Solution
Exploring Operation: 35*55=1925, Resulting Numbers: [1925]
1925,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[89, 34, 7], Operations: ['21-14=7']
Exploring Operation: 34+7=41, Resulting Numbers: [89, 41]
Generated Node #0,2,0: 93:[89, 41] Operation: 34+7=41
Exploring Operation: 89+7=96, Resulting Numbers: [34, 96]
Generated Node #0,2,1: 93:[34, 96] Operation: 89+7=96
Exploring Operation: 89-7=82, Resulting Numbers: [34, 82]
Generated Node #0,2,2: 93:[34, 82] Operation: 89-7=82
Exploring Operation: 34-7=27, Resulting Numbers: [89, 27]
Generated Node #0,2,3: 93:[89, 27] Operation: 34-7=27
Moving to Node #0,2,1
Current State: 93:[34, 96], Operations: ['21-14=7', '89+7=96']
Exploring Operation: 34+96=130, Resulting Numbers: [130]
130,93 unequal: No Solution
Exploring Operation: 34*96=3264, Resulting Numbers: [3264]
3264,93 unequal: No Solution
Exploring Operation: 96-34=62, Resulting Numbers: [62]
62,93 unequal: No Solution
Moving to Node #0,2,3
Current State: 93:[89, 27], Operations: ['21-14=7', '34-7=27']
Exploring Operation: 89-27=62, Resulting Numbers: [62]
62,93 unequal: No Solution
Exploring Operation: 89+27=116, Resulting Numbers: [116]
116,93 unequal: No Solution
Exploring Operation: 89*27=2403, Resulting Numbers: [2403]
2403,93 unequal: No Solution
Moving to Node #0,2,2
Current State: 93:[34, 82], Operations: ['21-14=7', '89-7=82']
Exploring Operation: 34+82=116, Resulting Numbers: [116]
116,93 unequal: No Solution
Exploring Operation: 34*82=2788, Resulting Numbers: [2788]
2788,93 unequal: No Solution
Exploring Operation: 82-34=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Moving to Node #0,2,0
Current State: 93:[89, 41], Operations: ['21-14=7', '34+7=41']
Exploring Operation: 89-41=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Exploring Operation: 89+41=130, Resulting Numbers: [130]
130,93 unequal: No Solution
Exploring Operation: 89*41=3649, Resulting Numbers: [3649]
3649,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[34, 21, 103], Operations: ['89+14=103']
Exploring Operation: 34+21=55, Resulting Numbers: [103, 55]
Generated Node #0,0,0: 93:[103, 55] Operation: 34+21=55
Exploring Operation: 103-34=69, Resulting Numbers: [21, 69]
Generated Node #0,0,1: 93:[21, 69] Operation: 103-34=69
Exploring Operation: 34-21=13, Resulting Numbers: [103, 13]
Generated Node #0,0,2: 93:[103, 13] Operation: 34-21=13
Exploring Operation: 103-21=82, Resulting Numbers: [34, 82]
Generated Node #0,0,3: 93:[34, 82] Operation: 103-21=82
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 93:[34, 82], Operations: ['89+14=103', '103-21=82']
Exploring Operation: 34+82=116, Resulting Numbers: [116]
116,93 unequal: No Solution
Exploring Operation: 82-34=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Exploring Operation: 34*82=2788, Resulting Numbers: [2788]
2788,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 93:[103, 13], Operations: ['89+14=103', '34-21=13']
Exploring Operation: 103*13=1339, Resulting Numbers: [1339]
1339,93 unequal: No Solution
Exploring Operation: 103-13=90, Resulting Numbers: [90]
90,93 unequal: No Solution
Exploring Operation: 103+13=116, Resulting Numbers: [116]
116,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 93:[103, 55], Operations: ['89+14=103', '34+21=55']
Exploring Operation: 103-55=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Exploring Operation: 103+55=158, Resulting Numbers: [158]
158,93 unequal: No Solution
Exploring Operation: 103*55=5665, Resulting Numbers: [5665]
5665,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 93:[21, 69], Operations: ['89+14=103', '103-34=69']
Exploring Operation: 21*69=1449, Resulting Numbers: [1449]
1449,93 unequal: No Solution
Exploring Operation: 69-21=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Exploring Operation: 21+69=90, Resulting Numbers: [90]
90,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 93:[89, 14, 13], Operations: ['34-21=13']
Exploring Operation: 14+13=27, Resulting Numbers: [89, 27]
Generated Node #0,3,0: 93:[89, 27] Operation: 14+13=27
Exploring Operation: 14-13=1, Resulting Numbers: [89, 1]
Generated Node #0,3,1: 93:[89, 1] Operation: 14-13=1
Exploring Operation: 89+13=102, Resulting Numbers: [14, 102]
Generated Node #0,3,2: 93:[14, 102] Operation: 89+13=102
Exploring Operation: 89+14=103, Resulting Numbers: [13, 103]
Generated Node #0,3,3: 93:[13, 103] Operation: 89+14=103
Moving to Node #0,3,1
Current State: 93:[89, 1], Operations: ['34-21=13', '14-13=1']
Exploring Operation: 89*1=89, Resulting Numbers: [89]
89,93 unequal: No Solution
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,93 unequal: No Solution
Exploring Operation: 89/1=89, Resulting Numbers: [89]
89,93 unequal: No Solution
Exploring Operation: 89+1=90, Resulting Numbers: [90]
90,93 unequal: No Solution
Moving to Node #0,3,0
Current State: 93:[89, 27], Operations: ['34-21=13', '14+13=27']
Exploring Operation: 89+27=116, Resulting Numbers: [116]
116,93 unequal: No Solution
Exploring Operation: 89*27=2403, Resulting Numbers: [2403]
2403,93 unequal: No Solution
Exploring Operation: 89-27=62, Resulting Numbers: [62]
62,93 unequal: No Solution
Moving to Node #0,3,3
Current State: 93:[13, 103], Operations: ['34-21=13', '89+14=103']
Exploring Operation: 103-13=90, Resulting Numbers: [90]
90,93 unequal: No Solution
Exploring Operation: 13*103=1339, Resulting Numbers: [1339]
1339,93 unequal: No Solution
Exploring Operation: 13+103=116, Resulting Numbers: [116]
116,93 unequal: No Solution
Moving to Node #0,3,2
Current State: 93:[14, 102], Operations: ['34-21=13', '89+13=102']
Exploring Operation: 14+102=116, Resulting Numbers: [116]
116,93 unequal: No Solution
Exploring Operation: 14*102=1428, Resulting Numbers: [1428]
1428,93 unequal: No Solution
Exploring Operation: 102-14=88, Resulting Numbers: [88]
88,93 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 |
[
17,
20,
45,
96
] | 39 | [
"20-17=3",
"45*3=135",
"135-96=39"
] | Current State: 39:[17, 20, 45, 96], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [45, 96, 3]
Generated Node #2: [45, 96, 3] from Operation: 20-17=3
Current State: 39:[45, 96, 3], Operations: ['20-17=3']
Exploring Operation: 45*3=135, Resulting Numbers: [96, 135]
Generated Node #3: [96, 135] from Operation: 45*3=135
Current State: 39:[96, 135], Operations: ['20-17=3', '45*3=135']
Exploring Operation: 135-96=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[17, 20, 45, 96], Operations: []
Exploring Operation: 96-45=51, Resulting Numbers: [17, 20, 51]
Generated Node #0,0: 39:[17, 20, 51] Operation: 96-45=51
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[17, 20, 51], Operations: ['96-45=51']
Exploring Operation: 51/17=3, Resulting Numbers: [20, 3]
Generated Node #0,0,0: 39:[20, 3] Operation: 51/17=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[20, 3], Operations: ['96-45=51', '51/17=3']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
19,
36,
63,
45
] | 38 | [
"19*36=684",
"63-45=18",
"684/18=38"
] | Current State: 38:[19, 36, 63, 45], Operations: []
Exploring Operation: 19*36=684, Resulting Numbers: [63, 45, 684]
Generated Node #2: [63, 45, 684] from Operation: 19*36=684
Current State: 38:[63, 45, 684], Operations: ['19*36=684']
Exploring Operation: 63-45=18, Resulting Numbers: [684, 18]
Generated Node #3: [684, 18] from Operation: 63-45=18
Current State: 38:[684, 18], Operations: ['19*36=684', '63-45=18']
Exploring Operation: 684/18=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[19, 36, 63, 45], Operations: []
Exploring Operation: 63-45=18, Resulting Numbers: [19, 36, 18]
Generated Node #0,0: 38:[19, 36, 18] Operation: 63-45=18
Exploring Operation: 63-36=27, Resulting Numbers: [19, 45, 27]
Generated Node #0,1: 38:[19, 45, 27] Operation: 63-36=27
Exploring Operation: 63-19=44, Resulting Numbers: [36, 45, 44]
Generated Node #0,2: 38:[36, 45, 44] Operation: 63-19=44
Moving to Node #0,0
Current State: 38:[19, 36, 18], Operations: ['63-45=18']
Exploring Operation: 36-19=17, Resulting Numbers: [18, 17]
Generated Node #0,0,0: 38:[18, 17] Operation: 36-19=17
Exploring Operation: 36/18=2, Resulting Numbers: [19, 2]
Generated Node #0,0,1: 38:[19, 2] Operation: 36/18=2
Exploring Operation: 36-18=18, Resulting Numbers: [19, 18]
Generated Node #0,0,2: 38:[19, 18] Operation: 36-18=18
Moving to Node #0,1
Current State: 38:[19, 45, 27], Operations: ['63-36=27']
Exploring Operation: 45-27=18, Resulting Numbers: [19, 18]
Generated Node #0,1,0: 38:[19, 18] Operation: 45-27=18
Exploring Operation: 27-19=8, Resulting Numbers: [45, 8]
Generated Node #0,1,1: 38:[45, 8] Operation: 27-19=8
Exploring Operation: 45-19=26, Resulting Numbers: [27, 26]
Generated Node #0,1,2: 38:[27, 26] Operation: 45-19=26
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 38:[19, 18], Operations: ['63-36=27', '45-27=18']
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,38 unequal: No Solution
Exploring Operation: 19*18=342, Resulting Numbers: [342]
342,38 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,38 unequal: No Solution
No 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: 38:[45, 8], Operations: ['63-36=27', '27-19=8']
Exploring Operation: 45+8=53, Resulting Numbers: [53]
53,38 unequal: No Solution
Exploring Operation: 45*8=360, Resulting Numbers: [360]
360,38 unequal: No Solution
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,38 unequal: No Solution
No 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: 38:[27, 26], Operations: ['63-36=27', '45-19=26']
Exploring Operation: 27*26=702, Resulting Numbers: [702]
702,38 unequal: No Solution
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,38 unequal: No Solution
Exploring Operation: 27+26=53, Resulting Numbers: [53]
53,38 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: 38:[36, 45, 44], Operations: ['63-19=44']
Exploring Operation: 45-44=1, Resulting Numbers: [36, 1]
Generated Node #0,2,0: 38:[36, 1] Operation: 45-44=1
Exploring Operation: 44-36=8, Resulting Numbers: [45, 8]
Generated Node #0,2,1: 38:[45, 8] Operation: 44-36=8
Exploring Operation: 45-36=9, Resulting Numbers: [44, 9]
Generated Node #0,2,2: 38:[44, 9] Operation: 45-36=9
Moving to Node #0,0,1
Current State: 38:[19, 2], Operations: ['63-45=18', '36/18=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[19, 36, 63, 45], Operations: []
Exploring Operation: 63-45=18, Resulting Numbers: [19, 36, 18]
Generated Node #0,0: 38:[19, 36, 18] Operation: 63-45=18
Moving to Node #0,0
Current State: 38:[19, 36, 18], Operations: ['63-45=18']
Exploring Operation: 36/18=2, Resulting Numbers: [19, 2]
Generated Node #0,0,1: 38:[19, 2] Operation: 36/18=2
Moving to Node #0,0,1
Current State: 38:[19, 2], Operations: ['63-45=18', '36/18=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 0.977431 | hs_3 | sum_heuristic |
[
15,
41,
2,
11
] | 93 | [
"15+11=26",
"2*26=52",
"41+52=93"
] | Current State: 93:[15, 41, 2, 11], Operations: []
Exploring Operation: 15+11=26, Resulting Numbers: [41, 2, 26]
Generated Node #2: [41, 2, 26] from Operation: 15+11=26
Current State: 93:[41, 2, 26], Operations: ['15+11=26']
Exploring Operation: 2*26=52, Resulting Numbers: [41, 52]
Generated Node #3: [41, 52] from Operation: 2*26=52
Current State: 93:[41, 52], Operations: ['15+11=26', '2*26=52']
Exploring Operation: 41+52=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[15, 41, 2, 11], Operations: []
Exploring Operation: 15-11=4, Resulting Numbers: [41, 2, 4]
Generated Node #0,0: 93:[41, 2, 4] Operation: 15-11=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[41, 2, 4], Operations: ['15-11=4']
Exploring Operation: 41-4=37, Resulting Numbers: [2, 37]
Generated Node #0,0,0: 93:[2, 37] Operation: 41-4=37
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 93:[2, 37], Operations: ['15-11=4', '41-4=37']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
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