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 |
|---|---|---|---|---|---|---|---|---|
[
91,
81,
60,
30
] | 63 | [
"91-81=10",
"30/10=3",
"60+3=63"
] | Current State: 63:[91, 81, 60, 30], Operations: []
Exploring Operation: 91-81=10, Resulting Numbers: [60, 30, 10]
Generated Node #2: [60, 30, 10] from Operation: 91-81=10
Current State: 63:[60, 30, 10], Operations: ['91-81=10']
Exploring Operation: 30/10=3, Resulting Numbers: [60, 3]
Generated Node #3: [60, 3] from Operation: 30/10=3
Current State: 63:[60, 3], Operations: ['91-81=10', '30/10=3']
Exploring Operation: 60+3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[91, 81, 60, 30], Operations: []
Exploring Operation: 91-81=10, Resulting Numbers: [60, 30, 10]
Generated Node #0,0: 63:[60, 30, 10] Operation: 91-81=10
Exploring Operation: 91-30=61, Resulting Numbers: [81, 60, 61]
Generated Node #0,1: 63:[81, 60, 61] Operation: 91-30=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[60, 30, 10], Operations: ['91-81=10']
Exploring Operation: 30/10=3, Resulting Numbers: [60, 3]
Generated Node #0,0,0: 63:[60, 3] Operation: 30/10=3
Exploring Operation: 60/30=2, Resulting Numbers: [10, 2]
Generated Node #0,0,1: 63:[10, 2] Operation: 60/30=2
Moving to Node #0,0,1
Current State: 63:[10, 2], Operations: ['91-81=10', '60/30=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,63 unequal: No Solution
Moving to Node #0,0,0
Current State: 63:[60, 3], Operations: ['91-81=10', '30/10=3']
Exploring Operation: 60+3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[91, 81, 60, 30], Operations: []
Exploring Operation: 91-81=10, Resulting Numbers: [60, 30, 10]
Generated Node #0,0: 63:[60, 30, 10] Operation: 91-81=10
Moving to Node #0,0
Current State: 63:[60, 30, 10], Operations: ['91-81=10']
Exploring Operation: 30/10=3, Resulting Numbers: [60, 3]
Generated Node #0,0,0: 63:[60, 3] Operation: 30/10=3
Moving to Node #0,0,0
Current State: 63:[60, 3], Operations: ['91-81=10', '30/10=3']
Exploring Operation: 60+3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
41,
80,
4,
31
] | 94 | [
"41+80=121",
"31-4=27",
"121-27=94"
] | Current State: 94:[41, 80, 4, 31], Operations: []
Exploring Operation: 41+80=121, Resulting Numbers: [4, 31, 121]
Generated Node #2: [4, 31, 121] from Operation: 41+80=121
Current State: 94:[4, 31, 121], Operations: ['41+80=121']
Exploring Operation: 31-4=27, Resulting Numbers: [121, 27]
Generated Node #3: [121, 27] from Operation: 31-4=27
Current State: 94:[121, 27], Operations: ['41+80=121', '31-4=27']
Exploring Operation: 121-27=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[41, 80, 4, 31], Operations: []
Exploring Operation: 80-41=39, Resulting Numbers: [4, 31, 39]
Generated Node #0,0: 94:[4, 31, 39] Operation: 80-41=39
Exploring Operation: 80+31=111, Resulting Numbers: [41, 4, 111]
Generated Node #0,1: 94:[41, 4, 111] Operation: 80+31=111
Exploring Operation: 41-31=10, Resulting Numbers: [80, 4, 10]
Generated Node #0,2: 94:[80, 4, 10] Operation: 41-31=10
Exploring Operation: 41+4=45, Resulting Numbers: [80, 31, 45]
Generated Node #0,3: 94:[80, 31, 45] Operation: 41+4=45
Exploring Operation: 80-31=49, Resulting Numbers: [41, 4, 49]
Generated Node #0,4: 94:[41, 4, 49] Operation: 80-31=49
Start Sub Search at level 1: Moving to Node #0,4
Current State: 94:[41, 4, 49], Operations: ['80-31=49']
Exploring Operation: 49-4=45, Resulting Numbers: [41, 45]
Generated Node #0,4,0: 94:[41, 45] Operation: 49-4=45
Exploring Operation: 49-41=8, Resulting Numbers: [4, 8]
Generated Node #0,4,1: 94:[4, 8] Operation: 49-41=8
Exploring Operation: 41+4=45, Resulting Numbers: [49, 45]
Generated Node #0,4,2: 94:[49, 45] Operation: 41+4=45
Exploring Operation: 41-4=37, Resulting Numbers: [49, 37]
Generated Node #0,4,3: 94:[49, 37] Operation: 41-4=37
Exploring Operation: 41+49=90, Resulting Numbers: [4, 90]
Generated Node #0,4,4: 94:[4, 90] Operation: 41+49=90
Moving to Node #0,4,2
Current State: 94:[49, 45], Operations: ['80-31=49', '41+4=45']
Exploring Operation: 49*45=2205, Resulting Numbers: [2205]
2205,94 unequal: No Solution
Exploring Operation: 49-45=4, Resulting Numbers: [4]
4,94 unequal: No Solution
Exploring Operation: 49+45=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[41, 80, 4, 31], Operations: []
Exploring Operation: 80-31=49, Resulting Numbers: [41, 4, 49]
Generated Node #0,4: 94:[41, 4, 49] Operation: 80-31=49
Moving to Node #0,4
Current State: 94:[41, 4, 49], Operations: ['80-31=49']
Exploring Operation: 41+4=45, Resulting Numbers: [49, 45]
Generated Node #0,4,2: 94:[49, 45] Operation: 41+4=45
Moving to Node #0,4,2
Current State: 94:[49, 45], Operations: ['80-31=49', '41+4=45']
Exploring Operation: 49+45=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
73,
17,
63,
27
] | 54 | [
"73+17=90",
"63-27=36",
"90-36=54"
] | Current State: 54:[73, 17, 63, 27], Operations: []
Exploring Operation: 73+17=90, Resulting Numbers: [63, 27, 90]
Generated Node #2: [63, 27, 90] from Operation: 73+17=90
Current State: 54:[63, 27, 90], Operations: ['73+17=90']
Exploring Operation: 63-27=36, Resulting Numbers: [90, 36]
Generated Node #3: [90, 36] from Operation: 63-27=36
Current State: 54:[90, 36], Operations: ['73+17=90', '63-27=36']
Exploring Operation: 90-36=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[73, 17, 63, 27], Operations: []
Exploring Operation: 73-17=56, Resulting Numbers: [63, 27, 56]
Generated Node #0,0: 54:[63, 27, 56] Operation: 73-17=56
Exploring Operation: 73-63=10, Resulting Numbers: [17, 27, 10]
Generated Node #0,1: 54:[17, 27, 10] Operation: 73-63=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[17, 27, 10], Operations: ['73-63=10']
Exploring Operation: 17+10=27, Resulting Numbers: [27, 27]
Generated Node #0,1,0: 54:[27, 27] Operation: 17+10=27
Exploring Operation: 17-10=7, Resulting Numbers: [27, 7]
Generated Node #0,1,1: 54:[27, 7] Operation: 17-10=7
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 54:[27, 27], Operations: ['73-63=10', '17+10=27']
Exploring Operation: 27+27=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[73, 17, 63, 27], Operations: []
Exploring Operation: 73-63=10, Resulting Numbers: [17, 27, 10]
Generated Node #0,1: 54:[17, 27, 10] Operation: 73-63=10
Moving to Node #0,1
Current State: 54:[17, 27, 10], Operations: ['73-63=10']
Exploring Operation: 17+10=27, Resulting Numbers: [27, 27]
Generated Node #0,1,0: 54:[27, 27] Operation: 17+10=27
Moving to Node #0,1,0
Current State: 54:[27, 27], Operations: ['73-63=10', '17+10=27']
Exploring Operation: 27+27=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
5,
44,
15,
16
] | 38 | [
"44-5=39",
"16-15=1",
"39-1=38"
] | Current State: 38:[5, 44, 15, 16], Operations: []
Exploring Operation: 44-5=39, Resulting Numbers: [15, 16, 39]
Generated Node #2: [15, 16, 39] from Operation: 44-5=39
Current State: 38:[15, 16, 39], Operations: ['44-5=39']
Exploring Operation: 16-15=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 16-15=1
Current State: 38:[39, 1], Operations: ['44-5=39', '16-15=1']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[5, 44, 15, 16], Operations: []
Exploring Operation: 44-5=39, Resulting Numbers: [15, 16, 39]
Generated Node #0,0: 38:[15, 16, 39] Operation: 44-5=39
Exploring Operation: 5+15=20, Resulting Numbers: [44, 16, 20]
Generated Node #0,1: 38:[44, 16, 20] Operation: 5+15=20
Exploring Operation: 15/5=3, Resulting Numbers: [44, 16, 3]
Generated Node #0,2: 38:[44, 16, 3] Operation: 15/5=3
Exploring Operation: 16-15=1, Resulting Numbers: [5, 44, 1]
Generated Node #0,3: 38:[5, 44, 1] Operation: 16-15=1
Moving to Node #0,0
Current State: 38:[15, 16, 39], Operations: ['44-5=39']
Exploring Operation: 15+16=31, Resulting Numbers: [39, 31]
Generated Node #0,0,0: 38:[39, 31] Operation: 15+16=31
Exploring Operation: 39-16=23, Resulting Numbers: [15, 23]
Generated Node #0,0,1: 38:[15, 23] Operation: 39-16=23
Exploring Operation: 16-15=1, Resulting Numbers: [39, 1]
Generated Node #0,0,2: 38:[39, 1] Operation: 16-15=1
Exploring Operation: 39-15=24, Resulting Numbers: [16, 24]
Generated Node #0,0,3: 38:[16, 24] Operation: 39-15=24
Moving to Node #0,2
Current State: 38:[44, 16, 3], Operations: ['15/5=3']
Exploring Operation: 44-16=28, Resulting Numbers: [3, 28]
Generated Node #0,2,0: 38:[3, 28] Operation: 44-16=28
Exploring Operation: 16+3=19, Resulting Numbers: [44, 19]
Generated Node #0,2,1: 38:[44, 19] Operation: 16+3=19
Exploring Operation: 44-3=41, Resulting Numbers: [16, 41]
Generated Node #0,2,2: 38:[16, 41] Operation: 44-3=41
Exploring Operation: 44+3=47, Resulting Numbers: [16, 47]
Generated Node #0,2,3: 38:[16, 47] Operation: 44+3=47
Moving to Node #0,1
Current State: 38:[44, 16, 20], Operations: ['5+15=20']
Exploring Operation: 16+20=36, Resulting Numbers: [44, 36]
Generated Node #0,1,0: 38:[44, 36] Operation: 16+20=36
Exploring Operation: 20-16=4, Resulting Numbers: [44, 4]
Generated Node #0,1,1: 38:[44, 4] Operation: 20-16=4
Exploring Operation: 44-16=28, Resulting Numbers: [20, 28]
Generated Node #0,1,2: 38:[20, 28] Operation: 44-16=28
Exploring Operation: 44-20=24, Resulting Numbers: [16, 24]
Generated Node #0,1,3: 38:[16, 24] Operation: 44-20=24
Moving to Node #0,3
Current State: 38:[5, 44, 1], Operations: ['16-15=1']
Exploring Operation: 5*1=5, Resulting Numbers: [44, 5]
Generated Node #0,3,0: 38:[44, 5] Operation: 5*1=5
Exploring Operation: 44-5=39, Resulting Numbers: [1, 39]
Generated Node #0,3,1: 38:[1, 39] Operation: 44-5=39
Exploring Operation: 44-1=43, Resulting Numbers: [5, 43]
Generated Node #0,3,2: 38:[5, 43] Operation: 44-1=43
Exploring Operation: 5-1=4, Resulting Numbers: [44, 4]
Generated Node #0,3,3: 38:[44, 4] Operation: 5-1=4
Moving to Node #0,0,2
Current State: 38:[39, 1], Operations: ['44-5=39', '16-15=1']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[5, 44, 15, 16], Operations: []
Exploring Operation: 44-5=39, Resulting Numbers: [15, 16, 39]
Generated Node #0,0: 38:[15, 16, 39] Operation: 44-5=39
Moving to Node #0,0
Current State: 38:[15, 16, 39], Operations: ['44-5=39']
Exploring Operation: 16-15=1, Resulting Numbers: [39, 1]
Generated Node #0,0,2: 38:[39, 1] Operation: 16-15=1
Moving to Node #0,0,2
Current State: 38:[39, 1], Operations: ['44-5=39', '16-15=1']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 0.978299 | hs_4 | mult_heuristic |
[
8,
27,
29,
19
] | 93 | [
"27-19=8",
"8*8=64",
"29+64=93"
] | Current State: 93:[8, 27, 29, 19], Operations: []
Exploring Operation: 27-19=8, Resulting Numbers: [8, 29, 8]
Generated Node #2: [8, 29, 8] from Operation: 27-19=8
Current State: 93:[8, 29, 8], Operations: ['27-19=8']
Exploring Operation: 8*8=64, Resulting Numbers: [29, 64]
Generated Node #3: [29, 64] from Operation: 8*8=64
Current State: 93:[29, 64], Operations: ['27-19=8', '8*8=64']
Exploring Operation: 29+64=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[8, 27, 29, 19], Operations: []
Exploring Operation: 27-19=8, Resulting Numbers: [8, 29, 8]
Generated Node #0,0: 93:[8, 29, 8] Operation: 27-19=8
Exploring Operation: 8+19=27, Resulting Numbers: [27, 29, 27]
Generated Node #0,1: 93:[27, 29, 27] Operation: 8+19=27
Exploring Operation: 29-19=10, Resulting Numbers: [8, 27, 10]
Generated Node #0,2: 93:[8, 27, 10] Operation: 29-19=10
Exploring Operation: 19-8=11, Resulting Numbers: [27, 29, 11]
Generated Node #0,3: 93:[27, 29, 11] Operation: 19-8=11
Exploring Operation: 8+27=35, Resulting Numbers: [29, 19, 35]
Generated Node #0,4: 93:[29, 19, 35] Operation: 8+27=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[27, 29, 27], Operations: ['8+19=27']
Exploring Operation: 27-27=0, Resulting Numbers: [29, 0]
Generated Node #0,1,0: 93:[29, 0] Operation: 27-27=0
Exploring Operation: 27+27=54, Resulting Numbers: [29, 54]
Generated Node #0,1,1: 93:[29, 54] Operation: 27+27=54
Exploring Operation: 27/27=1, Resulting Numbers: [29, 1]
Generated Node #0,1,2: 93:[29, 1] Operation: 27/27=1
Exploring Operation: 29-27=2, Resulting Numbers: [27, 2]
Generated Node #0,1,3: 93:[27, 2] Operation: 29-27=2
Exploring Operation: 29-27=2, Resulting Numbers: [27, 2]
Generated Node #0,1,4: 93:[27, 2] Operation: 29-27=2
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 93:[29, 1], Operations: ['8+19=27', '27/27=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Exploring Operation: 29/1=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 29+1=30, Resulting Numbers: [30]
30,93 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 #0,1,0
Current State: 93:[29, 0], Operations: ['8+19=27', '27-27=0']
Exploring Operation: 29-0=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 29+0=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 29*0=0, Resulting Numbers: [0]
0,93 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:[27, 2], Operations: ['8+19=27', '29-27=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,93 unequal: No Solution
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,93 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 #0,1,4
Current State: 93:[27, 2], Operations: ['8+19=27', '29-27=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,93 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,93 unequal: No Solution
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,93 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:[29, 54], Operations: ['8+19=27', '27+27=54']
Exploring Operation: 54-29=25, Resulting Numbers: [25]
25,93 unequal: No Solution
Exploring Operation: 29+54=83, Resulting Numbers: [83]
83,93 unequal: No Solution
Exploring Operation: 29*54=1566, Resulting Numbers: [1566]
1566,93 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 #0,0
Current State: 93:[8, 29, 8], Operations: ['27-19=8']
Exploring Operation: 8+29=37, Resulting Numbers: [8, 37]
Generated Node #0,0,0: 93:[8, 37] Operation: 8+29=37
Exploring Operation: 29-8=21, Resulting Numbers: [8, 21]
Generated Node #0,0,1: 93:[8, 21] Operation: 29-8=21
Exploring Operation: 8-8=0, Resulting Numbers: [29, 0]
Generated Node #0,0,2: 93:[29, 0] Operation: 8-8=0
Exploring Operation: 8/8=1, Resulting Numbers: [29, 1]
Generated Node #0,0,3: 93:[29, 1] Operation: 8/8=1
Exploring Operation: 29+8=37, Resulting Numbers: [8, 37]
Generated Node #0,0,4: 93:[8, 37] Operation: 29+8=37
Moving to Node #0,0,3
Current State: 93:[29, 1], Operations: ['27-19=8', '8/8=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 29/1=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 29+1=30, Resulting Numbers: [30]
30,93 unequal: No Solution
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[29, 0], Operations: ['27-19=8', '8-8=0']
Exploring Operation: 29+0=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 29-0=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 29*0=0, Resulting Numbers: [0]
0,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[8, 37], Operations: ['27-19=8', '8+29=37']
Exploring Operation: 8+37=45, Resulting Numbers: [45]
45,93 unequal: No Solution
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 8*37=296, Resulting Numbers: [296]
296,93 unequal: No Solution
Moving to Node #0,0,4
Current State: 93:[8, 37], Operations: ['27-19=8', '29+8=37']
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 8*37=296, Resulting Numbers: [296]
296,93 unequal: No Solution
Exploring Operation: 8+37=45, Resulting Numbers: [45]
45,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[8, 21], Operations: ['27-19=8', '29-8=21']
Exploring Operation: 8*21=168, Resulting Numbers: [168]
168,93 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,93 unequal: No Solution
Exploring Operation: 8+21=29, Resulting Numbers: [29]
29,93 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:[27, 29, 11], Operations: ['19-8=11']
Exploring Operation: 27+11=38, Resulting Numbers: [29, 38]
Generated Node #0,3,0: 93:[29, 38] Operation: 27+11=38
Exploring Operation: 29-11=18, Resulting Numbers: [27, 18]
Generated Node #0,3,1: 93:[27, 18] Operation: 29-11=18
Exploring Operation: 27-11=16, Resulting Numbers: [29, 16]
Generated Node #0,3,2: 93:[29, 16] Operation: 27-11=16
Exploring Operation: 29-27=2, Resulting Numbers: [11, 2]
Generated Node #0,3,3: 93:[11, 2] Operation: 29-27=2
Exploring Operation: 29+11=40, Resulting Numbers: [27, 40]
Generated Node #0,3,4: 93:[27, 40] Operation: 29+11=40
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 93:[29, 38], Operations: ['19-8=11', '27+11=38']
Exploring Operation: 29*38=1102, Resulting Numbers: [1102]
1102,93 unequal: No Solution
Exploring Operation: 38-29=9, Resulting Numbers: [9]
9,93 unequal: No Solution
Exploring Operation: 29+38=67, Resulting Numbers: [67]
67,93 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 #0,3,3
Current State: 93:[11, 2], Operations: ['19-8=11', '29-27=2']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,93 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,93 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,93 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 #0,3,4
Current State: 93:[27, 40], Operations: ['19-8=11', '29+11=40']
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,93 unequal: No Solution
Exploring Operation: 27*40=1080, Resulting Numbers: [1080]
1080,93 unequal: No Solution
Exploring Operation: 27+40=67, Resulting Numbers: [67]
67,93 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 #0,3,2
Current State: 93:[29, 16], Operations: ['19-8=11', '27-11=16']
Exploring Operation: 29*16=464, Resulting Numbers: [464]
464,93 unequal: No Solution
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,93 unequal: No Solution
Exploring Operation: 29+16=45, Resulting Numbers: [45]
45,93 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 #0,3,1
Current State: 93:[27, 18], Operations: ['19-8=11', '29-11=18']
Exploring Operation: 27-18=9, Resulting Numbers: [9]
9,93 unequal: No Solution
Exploring Operation: 27+18=45, Resulting Numbers: [45]
45,93 unequal: No Solution
Exploring Operation: 27*18=486, Resulting Numbers: [486]
486,93 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:[8, 27, 10], Operations: ['29-19=10']
Exploring Operation: 8*10=80, Resulting Numbers: [27, 80]
Generated Node #0,2,0: 93:[27, 80] Operation: 8*10=80
Exploring Operation: 8+27=35, Resulting Numbers: [10, 35]
Generated Node #0,2,1: 93:[10, 35] Operation: 8+27=35
Exploring Operation: 27+10=37, Resulting Numbers: [8, 37]
Generated Node #0,2,2: 93:[8, 37] Operation: 27+10=37
Exploring Operation: 8+10=18, Resulting Numbers: [27, 18]
Generated Node #0,2,3: 93:[27, 18] Operation: 8+10=18
Exploring Operation: 10-8=2, Resulting Numbers: [27, 2]
Generated Node #0,2,4: 93:[27, 2] Operation: 10-8=2
Moving to Node #0,2,4
Current State: 93:[27, 2], Operations: ['29-19=10', '10-8=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,93 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,93 unequal: No Solution
Moving to Node #0,2,2
Current State: 93:[8, 37], Operations: ['29-19=10', '27+10=37']
Exploring Operation: 8+37=45, Resulting Numbers: [45]
45,93 unequal: No Solution
Exploring Operation: 8*37=296, Resulting Numbers: [296]
296,93 unequal: No Solution
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Moving to Node #0,2,1
Current State: 93:[10, 35], Operations: ['29-19=10', '8+27=35']
Exploring Operation: 10*35=350, Resulting Numbers: [350]
350,93 unequal: No Solution
Exploring Operation: 10+35=45, Resulting Numbers: [45]
45,93 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,93 unequal: No Solution
Moving to Node #0,2,0
Current State: 93:[27, 80], Operations: ['29-19=10', '8*10=80']
Exploring Operation: 27*80=2160, Resulting Numbers: [2160]
2160,93 unequal: No Solution
Exploring Operation: 27+80=107, Resulting Numbers: [107]
107,93 unequal: No Solution
Exploring Operation: 80-27=53, Resulting Numbers: [53]
53,93 unequal: No Solution
Moving to Node #0,2,3
Current State: 93:[27, 18], Operations: ['29-19=10', '8+10=18']
Exploring Operation: 27*18=486, Resulting Numbers: [486]
486,93 unequal: No Solution
Exploring Operation: 27-18=9, Resulting Numbers: [9]
9,93 unequal: No Solution
Exploring Operation: 27+18=45, Resulting Numbers: [45]
45,93 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:[29, 19, 35], Operations: ['8+27=35']
Exploring Operation: 35-29=6, Resulting Numbers: [19, 6]
Generated Node #0,4,0: 93:[19, 6] Operation: 35-29=6
Exploring Operation: 29+19=48, Resulting Numbers: [35, 48]
Generated Node #0,4,1: 93:[35, 48] Operation: 29+19=48
Exploring Operation: 29-19=10, Resulting Numbers: [35, 10]
Generated Node #0,4,2: 93:[35, 10] Operation: 29-19=10
Exploring Operation: 35-19=16, Resulting Numbers: [29, 16]
Generated Node #0,4,3: 93:[29, 16] Operation: 35-19=16
Exploring Operation: 19+35=54, Resulting Numbers: [29, 54]
Generated Node #0,4,4: 93:[29, 54] Operation: 19+35=54
Moving to Node #0,4,2
Current State: 93:[35, 10], Operations: ['8+27=35', '29-19=10']
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,93 unequal: No Solution
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,93 unequal: No Solution
Exploring Operation: 35*10=350, Resulting Numbers: [350]
350,93 unequal: No Solution
Moving to Node #0,4,3
Current State: 93:[29, 16], Operations: ['8+27=35', '35-19=16']
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,93 unequal: No Solution
Exploring Operation: 29*16=464, Resulting Numbers: [464]
464,93 unequal: No Solution
Exploring Operation: 29+16=45, Resulting Numbers: [45]
45,93 unequal: No Solution
Moving to Node #0,4,0
Current State: 93:[19, 6], Operations: ['8+27=35', '35-29=6']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,93 unequal: No Solution
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,93 unequal: No Solution
Exploring Operation: 19*6=114, Resulting Numbers: [114]
114,93 unequal: No Solution
Moving to Node #0,4,1
Current State: 93:[35, 48], Operations: ['8+27=35', '29+19=48']
Exploring Operation: 35+48=83, Resulting Numbers: [83]
83,93 unequal: No Solution
Exploring Operation: 48-35=13, Resulting Numbers: [13]
13,93 unequal: No Solution
Exploring Operation: 35*48=1680, Resulting Numbers: [1680]
1680,93 unequal: No Solution
Moving to Node #0,4,4
Current State: 93:[29, 54], Operations: ['8+27=35', '19+35=54']
Exploring Operation: 29*54=1566, Resulting Numbers: [1566]
1566,93 unequal: No Solution
Exploring Operation: 54-29=25, Resulting Numbers: [25]
25,93 unequal: No Solution
Exploring Operation: 29+54=83, Resulting Numbers: [83]
83,93 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 |
[
93,
51,
76,
57
] | 23 | [
"93-51=42",
"76-57=19",
"42-19=23"
] | Current State: 23:[93, 51, 76, 57], Operations: []
Exploring Operation: 93-51=42, Resulting Numbers: [76, 57, 42]
Generated Node #2: [76, 57, 42] from Operation: 93-51=42
Current State: 23:[76, 57, 42], Operations: ['93-51=42']
Exploring Operation: 76-57=19, Resulting Numbers: [42, 19]
Generated Node #3: [42, 19] from Operation: 76-57=19
Current State: 23:[42, 19], Operations: ['93-51=42', '76-57=19']
Exploring Operation: 42-19=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[93, 51, 76, 57], Operations: []
Exploring Operation: 93-76=17, Resulting Numbers: [51, 57, 17]
Generated Node #0,0: 23:[51, 57, 17] Operation: 93-76=17
Exploring Operation: 76-57=19, Resulting Numbers: [93, 51, 19]
Generated Node #0,1: 23:[93, 51, 19] Operation: 76-57=19
Exploring Operation: 93-57=36, Resulting Numbers: [51, 76, 36]
Generated Node #0,2: 23:[51, 76, 36] Operation: 93-57=36
Moving to Node #0,0
Current State: 23:[51, 57, 17], Operations: ['93-76=17']
Exploring Operation: 57-51=6, Resulting Numbers: [17, 6]
Generated Node #0,0,0: 23:[17, 6] Operation: 57-51=6
Exploring Operation: 51-17=34, Resulting Numbers: [57, 34]
Generated Node #0,0,1: 23:[57, 34] Operation: 51-17=34
Exploring Operation: 57-17=40, Resulting Numbers: [51, 40]
Generated Node #0,0,2: 23:[51, 40] Operation: 57-17=40
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[17, 6], Operations: ['93-76=17', '57-51=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[93, 51, 76, 57], Operations: []
Exploring Operation: 93-76=17, Resulting Numbers: [51, 57, 17]
Generated Node #0,0: 23:[51, 57, 17] Operation: 93-76=17
Moving to Node #0,0
Current State: 23:[51, 57, 17], Operations: ['93-76=17']
Exploring Operation: 57-51=6, Resulting Numbers: [17, 6]
Generated Node #0,0,0: 23:[17, 6] Operation: 57-51=6
Moving to Node #0,0,0
Current State: 23:[17, 6], Operations: ['93-76=17', '57-51=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
8,
13,
86,
1
] | 66 | [
"8+13=21",
"86+1=87",
"87-21=66"
] | Current State: 66:[8, 13, 86, 1], Operations: []
Exploring Operation: 8+13=21, Resulting Numbers: [86, 1, 21]
Generated Node #2: [86, 1, 21] from Operation: 8+13=21
Current State: 66:[86, 1, 21], Operations: ['8+13=21']
Exploring Operation: 86+1=87, Resulting Numbers: [21, 87]
Generated Node #3: [21, 87] from Operation: 86+1=87
Current State: 66:[21, 87], Operations: ['8+13=21', '86+1=87']
Exploring Operation: 87-21=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[8, 13, 86, 1], Operations: []
Exploring Operation: 86-13=73, Resulting Numbers: [8, 1, 73]
Generated Node #0,0: 66:[8, 1, 73] Operation: 86-13=73
Moving to Node #0,0
Current State: 66:[8, 1, 73], Operations: ['86-13=73']
Exploring Operation: 73-8=65, Resulting Numbers: [1, 65]
Generated Node #0,0,0: 66:[1, 65] Operation: 73-8=65
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[1, 65], Operations: ['86-13=73', '73-8=65']
Exploring Operation: 1+65=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[8, 13, 86, 1], Operations: []
Exploring Operation: 86-13=73, Resulting Numbers: [8, 1, 73]
Generated Node #0,0: 66:[8, 1, 73] Operation: 86-13=73
Moving to Node #0,0
Current State: 66:[8, 1, 73], Operations: ['86-13=73']
Exploring Operation: 73-8=65, Resulting Numbers: [1, 65]
Generated Node #0,0,0: 66:[1, 65] Operation: 73-8=65
Moving to Node #0,0,0
Current State: 66:[1, 65], Operations: ['86-13=73', '73-8=65']
Exploring Operation: 1+65=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
2,
47,
87,
25
] | 10 | [
"2*25=50",
"87-47=40",
"50-40=10"
] | Current State: 10:[2, 47, 87, 25], Operations: []
Exploring Operation: 2*25=50, Resulting Numbers: [47, 87, 50]
Generated Node #2: [47, 87, 50] from Operation: 2*25=50
Current State: 10:[47, 87, 50], Operations: ['2*25=50']
Exploring Operation: 87-47=40, Resulting Numbers: [50, 40]
Generated Node #3: [50, 40] from Operation: 87-47=40
Current State: 10:[50, 40], Operations: ['2*25=50', '87-47=40']
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[2, 47, 87, 25], Operations: []
Exploring Operation: 87-25=62, Resulting Numbers: [2, 47, 62]
Generated Node #0,0: 10:[2, 47, 62] Operation: 87-25=62
Exploring Operation: 47-25=22, Resulting Numbers: [2, 87, 22]
Generated Node #0,1: 10:[2, 87, 22] Operation: 47-25=22
Exploring Operation: 47-2=45, Resulting Numbers: [87, 25, 45]
Generated Node #0,2: 10:[87, 25, 45] Operation: 47-2=45
Exploring Operation: 87-47=40, Resulting Numbers: [2, 25, 40]
Generated Node #0,3: 10:[2, 25, 40] Operation: 87-47=40
Start Sub Search at level 1: Moving to Node #0,3
Current State: 10:[2, 25, 40], Operations: ['87-47=40']
Exploring Operation: 40-2=38, Resulting Numbers: [25, 38]
Generated Node #0,3,0: 10:[25, 38] Operation: 40-2=38
Exploring Operation: 25-2=23, Resulting Numbers: [40, 23]
Generated Node #0,3,1: 10:[40, 23] Operation: 25-2=23
Exploring Operation: 40/2=20, Resulting Numbers: [25, 20]
Generated Node #0,3,2: 10:[25, 20] Operation: 40/2=20
Exploring Operation: 40-25=15, Resulting Numbers: [2, 15]
Generated Node #0,3,3: 10:[2, 15] Operation: 40-25=15
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 10:[2, 15], Operations: ['87-47=40', '40-25=15']
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,10 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,10 unequal: No Solution
No 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: 10:[25, 20], Operations: ['87-47=40', '40/2=20']
Exploring Operation: 25*20=500, Resulting Numbers: [500]
500,10 unequal: No Solution
Exploring Operation: 25+20=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,10 unequal: No Solution
No 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: 10:[25, 38], Operations: ['87-47=40', '40-2=38']
Exploring Operation: 25+38=63, Resulting Numbers: [63]
63,10 unequal: No Solution
Exploring Operation: 25*38=950, Resulting Numbers: [950]
950,10 unequal: No Solution
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,10 unequal: No Solution
No 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: 10:[40, 23], Operations: ['87-47=40', '25-2=23']
Exploring Operation: 40+23=63, Resulting Numbers: [63]
63,10 unequal: No Solution
Exploring Operation: 40-23=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 40*23=920, Resulting Numbers: [920]
920,10 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: 10:[2, 47, 62], Operations: ['87-25=62']
Exploring Operation: 62-47=15, Resulting Numbers: [2, 15]
Generated Node #0,0,0: 10:[2, 15] Operation: 62-47=15
Exploring Operation: 47-2=45, Resulting Numbers: [62, 45]
Generated Node #0,0,1: 10:[62, 45] Operation: 47-2=45
Exploring Operation: 62-2=60, Resulting Numbers: [47, 60]
Generated Node #0,0,2: 10:[47, 60] Operation: 62-2=60
Exploring Operation: 62/2=31, Resulting Numbers: [47, 31]
Generated Node #0,0,3: 10:[47, 31] Operation: 62/2=31
Moving to Node #0,0,0
Current State: 10:[2, 15], Operations: ['87-25=62', '62-47=15']
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,10 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,10 unequal: No Solution
Moving to Node #0,0,3
Current State: 10:[47, 31], Operations: ['87-25=62', '62/2=31']
Exploring Operation: 47-31=16, Resulting Numbers: [16]
16,10 unequal: No Solution
Exploring Operation: 47+31=78, Resulting Numbers: [78]
78,10 unequal: No Solution
Exploring Operation: 47*31=1457, Resulting Numbers: [1457]
1457,10 unequal: No Solution
Moving to Node #0,0,2
Current State: 10:[47, 60], Operations: ['87-25=62', '62-2=60']
Exploring Operation: 47+60=107, Resulting Numbers: [107]
107,10 unequal: No Solution
Exploring Operation: 60-47=13, Resulting Numbers: [13]
13,10 unequal: No Solution
Exploring Operation: 47*60=2820, Resulting Numbers: [2820]
2820,10 unequal: No Solution
Moving to Node #0,0,1
Current State: 10:[62, 45], Operations: ['87-25=62', '47-2=45']
Exploring Operation: 62-45=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 62+45=107, Resulting Numbers: [107]
107,10 unequal: No Solution
Exploring Operation: 62*45=2790, Resulting Numbers: [2790]
2790,10 unequal: No Solution
No 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: 10:[2, 87, 22], Operations: ['47-25=22']
Exploring Operation: 87-2=85, Resulting Numbers: [22, 85]
Generated Node #0,1,0: 10:[22, 85] Operation: 87-2=85
Exploring Operation: 87-22=65, Resulting Numbers: [2, 65]
Generated Node #0,1,1: 10:[2, 65] Operation: 87-22=65
Exploring Operation: 22-2=20, Resulting Numbers: [87, 20]
Generated Node #0,1,2: 10:[87, 20] Operation: 22-2=20
Exploring Operation: 22/2=11, Resulting Numbers: [87, 11]
Generated Node #0,1,3: 10:[87, 11] Operation: 22/2=11
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 10:[2, 65], Operations: ['47-25=22', '87-22=65']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,10 unequal: No Solution
Exploring Operation: 2*65=130, Resulting Numbers: [130]
130,10 unequal: No Solution
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,10 unequal: No Solution
No 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: 10:[87, 11], Operations: ['47-25=22', '22/2=11']
Exploring Operation: 87+11=98, Resulting Numbers: [98]
98,10 unequal: No Solution
Exploring Operation: 87-11=76, Resulting Numbers: [76]
76,10 unequal: No Solution
Exploring Operation: 87*11=957, Resulting Numbers: [957]
957,10 unequal: No Solution
No 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: 10:[22, 85], Operations: ['47-25=22', '87-2=85']
Exploring Operation: 22*85=1870, Resulting Numbers: [1870]
1870,10 unequal: No Solution
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,10 unequal: No Solution
Exploring Operation: 22+85=107, Resulting Numbers: [107]
107,10 unequal: No Solution
No 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: 10:[87, 20], Operations: ['47-25=22', '22-2=20']
Exploring Operation: 87+20=107, Resulting Numbers: [107]
107,10 unequal: No Solution
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,10 unequal: No Solution
Exploring Operation: 87*20=1740, Resulting Numbers: [1740]
1740,10 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: 10:[87, 25, 45], Operations: ['47-2=45']
Exploring Operation: 87+25=112, Resulting Numbers: [45, 112]
Generated Node #0,2,0: 10:[45, 112] Operation: 87+25=112
Exploring Operation: 87-25=62, Resulting Numbers: [45, 62]
Generated Node #0,2,1: 10:[45, 62] Operation: 87-25=62
Exploring Operation: 87-45=42, Resulting Numbers: [25, 42]
Generated Node #0,2,2: 10:[25, 42] Operation: 87-45=42
Exploring Operation: 45-25=20, Resulting Numbers: [87, 20]
Generated Node #0,2,3: 10:[87, 20] Operation: 45-25=20
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 10:[25, 42], Operations: ['47-2=45', '87-45=42']
Exploring Operation: 42-25=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 25*42=1050, Resulting Numbers: [1050]
1050,10 unequal: No Solution
Exploring Operation: 25+42=67, Resulting Numbers: [67]
67,10 unequal: No Solution
No 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: 10:[45, 62], Operations: ['47-2=45', '87-25=62']
Exploring Operation: 45*62=2790, Resulting Numbers: [2790]
2790,10 unequal: No Solution
Exploring Operation: 62-45=17, Resulting Numbers: [17]
17,10 unequal: No Solution
Exploring Operation: 45+62=107, Resulting Numbers: [107]
107,10 unequal: No Solution
No 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: 10:[87, 20], Operations: ['47-2=45', '45-25=20']
Exploring Operation: 87*20=1740, Resulting Numbers: [1740]
1740,10 unequal: No Solution
Exploring Operation: 87+20=107, Resulting Numbers: [107]
107,10 unequal: No Solution
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,10 unequal: No Solution
No 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: 10:[45, 112], Operations: ['47-2=45', '87+25=112']
Exploring Operation: 45+112=157, Resulting Numbers: [157]
157,10 unequal: No Solution
Exploring Operation: 45*112=5040, Resulting Numbers: [5040]
5040,10 unequal: No Solution
Exploring Operation: 112-45=67, Resulting Numbers: [67]
67,10 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
1,
21,
81,
45
] | 58 | [
"1+21=22",
"81-45=36",
"22+36=58"
] | Current State: 58:[1, 21, 81, 45], Operations: []
Exploring Operation: 1+21=22, Resulting Numbers: [81, 45, 22]
Generated Node #2: [81, 45, 22] from Operation: 1+21=22
Current State: 58:[81, 45, 22], Operations: ['1+21=22']
Exploring Operation: 81-45=36, Resulting Numbers: [22, 36]
Generated Node #3: [22, 36] from Operation: 81-45=36
Current State: 58:[22, 36], Operations: ['1+21=22', '81-45=36']
Exploring Operation: 22+36=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[1, 21, 81, 45], Operations: []
Exploring Operation: 81-45=36, Resulting Numbers: [1, 21, 36]
Generated Node #0,0: 58:[1, 21, 36] Operation: 81-45=36
Exploring Operation: 45-21=24, Resulting Numbers: [1, 81, 24]
Generated Node #0,1: 58:[1, 81, 24] Operation: 45-21=24
Exploring Operation: 81-21=60, Resulting Numbers: [1, 45, 60]
Generated Node #0,2: 58:[1, 45, 60] Operation: 81-21=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[1, 21, 36], Operations: ['81-45=36']
Exploring Operation: 21+36=57, Resulting Numbers: [1, 57]
Generated Node #0,0,0: 58:[1, 57] Operation: 21+36=57
Exploring Operation: 1+21=22, Resulting Numbers: [36, 22]
Generated Node #0,0,1: 58:[36, 22] Operation: 1+21=22
Exploring Operation: 36-1=35, Resulting Numbers: [21, 35]
Generated Node #0,0,2: 58:[21, 35] Operation: 36-1=35
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[1, 57], Operations: ['81-45=36', '21+36=57']
Exploring Operation: 1+57=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[1, 21, 81, 45], Operations: []
Exploring Operation: 81-45=36, Resulting Numbers: [1, 21, 36]
Generated Node #0,0: 58:[1, 21, 36] Operation: 81-45=36
Moving to Node #0,0
Current State: 58:[1, 21, 36], Operations: ['81-45=36']
Exploring Operation: 21+36=57, Resulting Numbers: [1, 57]
Generated Node #0,0,0: 58:[1, 57] Operation: 21+36=57
Moving to Node #0,0,0
Current State: 58:[1, 57], Operations: ['81-45=36', '21+36=57']
Exploring Operation: 1+57=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
37,
78,
95,
33
] | 98 | [
"78+33=111",
"111/37=3",
"95+3=98"
] | Current State: 98:[37, 78, 95, 33], Operations: []
Exploring Operation: 78+33=111, Resulting Numbers: [37, 95, 111]
Generated Node #2: [37, 95, 111] from Operation: 78+33=111
Current State: 98:[37, 95, 111], Operations: ['78+33=111']
Exploring Operation: 111/37=3, Resulting Numbers: [95, 3]
Generated Node #3: [95, 3] from Operation: 111/37=3
Current State: 98:[95, 3], Operations: ['78+33=111', '111/37=3']
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[37, 78, 95, 33], Operations: []
Exploring Operation: 78-37=41, Resulting Numbers: [95, 33, 41]
Generated Node #0,0: 98:[95, 33, 41] Operation: 78-37=41
Exploring Operation: 95-78=17, Resulting Numbers: [37, 33, 17]
Generated Node #0,1: 98:[37, 33, 17] Operation: 95-78=17
Exploring Operation: 78+33=111, Resulting Numbers: [37, 95, 111]
Generated Node #0,2: 98:[37, 95, 111] Operation: 78+33=111
Exploring Operation: 37-33=4, Resulting Numbers: [78, 95, 4]
Generated Node #0,3: 98:[78, 95, 4] Operation: 37-33=4
Exploring Operation: 78-33=45, Resulting Numbers: [37, 95, 45]
Generated Node #0,4: 98:[37, 95, 45] Operation: 78-33=45
Start Sub Search at level 1: Moving to Node #0,4
Current State: 98:[37, 95, 45], Operations: ['78-33=45']
Exploring Operation: 37+95=132, Resulting Numbers: [45, 132]
Generated Node #0,4,0: 98:[45, 132] Operation: 37+95=132
Exploring Operation: 95-37=58, Resulting Numbers: [45, 58]
Generated Node #0,4,1: 98:[45, 58] Operation: 95-37=58
Exploring Operation: 37+45=82, Resulting Numbers: [95, 82]
Generated Node #0,4,2: 98:[95, 82] Operation: 37+45=82
Exploring Operation: 95-45=50, Resulting Numbers: [37, 50]
Generated Node #0,4,3: 98:[37, 50] Operation: 95-45=50
Exploring Operation: 45-37=8, Resulting Numbers: [95, 8]
Generated Node #0,4,4: 98:[95, 8] Operation: 45-37=8
Moving to Node #0,4,4
Current State: 98:[95, 8], Operations: ['78-33=45', '45-37=8']
Exploring Operation: 95*8=760, Resulting Numbers: [760]
760,98 unequal: No Solution
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,98 unequal: No Solution
Exploring Operation: 95+8=103, Resulting Numbers: [103]
103,98 unequal: No Solution
Moving to Node #0,4,3
Current State: 98:[37, 50], Operations: ['78-33=45', '95-45=50']
Exploring Operation: 37+50=87, Resulting Numbers: [87]
87,98 unequal: No Solution
Exploring Operation: 37*50=1850, Resulting Numbers: [1850]
1850,98 unequal: No Solution
Exploring Operation: 50-37=13, Resulting Numbers: [13]
13,98 unequal: No Solution
Moving to Node #0,4,1
Current State: 98:[45, 58], Operations: ['78-33=45', '95-37=58']
Exploring Operation: 45*58=2610, Resulting Numbers: [2610]
2610,98 unequal: No Solution
Exploring Operation: 58-45=13, Resulting Numbers: [13]
13,98 unequal: No Solution
Exploring Operation: 45+58=103, Resulting Numbers: [103]
103,98 unequal: No Solution
Moving to Node #0,4,2
Current State: 98:[95, 82], Operations: ['78-33=45', '37+45=82']
Exploring Operation: 95-82=13, Resulting Numbers: [13]
13,98 unequal: No Solution
Exploring Operation: 95+82=177, Resulting Numbers: [177]
177,98 unequal: No Solution
Exploring Operation: 95*82=7790, Resulting Numbers: [7790]
7790,98 unequal: No Solution
Moving to Node #0,4,0
Current State: 98:[45, 132], Operations: ['78-33=45', '37+95=132']
Exploring Operation: 45+132=177, Resulting Numbers: [177]
177,98 unequal: No Solution
Exploring Operation: 132-45=87, Resulting Numbers: [87]
87,98 unequal: No Solution
Exploring Operation: 45*132=5940, Resulting Numbers: [5940]
5940,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 98:[78, 95, 4], Operations: ['37-33=4']
Exploring Operation: 95+4=99, Resulting Numbers: [78, 99]
Generated Node #0,3,0: 98:[78, 99] Operation: 95+4=99
Exploring Operation: 78-4=74, Resulting Numbers: [95, 74]
Generated Node #0,3,1: 98:[95, 74] Operation: 78-4=74
Exploring Operation: 95-4=91, Resulting Numbers: [78, 91]
Generated Node #0,3,2: 98:[78, 91] Operation: 95-4=91
Exploring Operation: 95-78=17, Resulting Numbers: [4, 17]
Generated Node #0,3,3: 98:[4, 17] Operation: 95-78=17
Exploring Operation: 78+4=82, Resulting Numbers: [95, 82]
Generated Node #0,3,4: 98:[95, 82] Operation: 78+4=82
Moving to Node #0,3,3
Current State: 98:[4, 17], Operations: ['37-33=4', '95-78=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,98 unequal: No Solution
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,98 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,98 unequal: No Solution
Moving to Node #0,3,4
Current State: 98:[95, 82], Operations: ['37-33=4', '78+4=82']
Exploring Operation: 95*82=7790, Resulting Numbers: [7790]
7790,98 unequal: No Solution
Exploring Operation: 95-82=13, Resulting Numbers: [13]
13,98 unequal: No Solution
Exploring Operation: 95+82=177, Resulting Numbers: [177]
177,98 unequal: No Solution
Moving to Node #0,3,0
Current State: 98:[78, 99], Operations: ['37-33=4', '95+4=99']
Exploring Operation: 78+99=177, Resulting Numbers: [177]
177,98 unequal: No Solution
Exploring Operation: 99-78=21, Resulting Numbers: [21]
21,98 unequal: No Solution
Exploring Operation: 78*99=7722, Resulting Numbers: [7722]
7722,98 unequal: No Solution
Moving to Node #0,3,1
Current State: 98:[95, 74], Operations: ['37-33=4', '78-4=74']
Exploring Operation: 95+74=169, Resulting Numbers: [169]
169,98 unequal: No Solution
Exploring Operation: 95*74=7030, Resulting Numbers: [7030]
7030,98 unequal: No Solution
Exploring Operation: 95-74=21, Resulting Numbers: [21]
21,98 unequal: No Solution
Moving to Node #0,3,2
Current State: 98:[78, 91], Operations: ['37-33=4', '95-4=91']
Exploring Operation: 78*91=7098, Resulting Numbers: [7098]
7098,98 unequal: No Solution
Exploring Operation: 78+91=169, Resulting Numbers: [169]
169,98 unequal: No Solution
Exploring Operation: 91-78=13, Resulting Numbers: [13]
13,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[95, 33, 41], Operations: ['78-37=41']
Exploring Operation: 95-41=54, Resulting Numbers: [33, 54]
Generated Node #0,0,0: 98:[33, 54] Operation: 95-41=54
Exploring Operation: 95+33=128, Resulting Numbers: [41, 128]
Generated Node #0,0,1: 98:[41, 128] Operation: 95+33=128
Exploring Operation: 95-33=62, Resulting Numbers: [41, 62]
Generated Node #0,0,2: 98:[41, 62] Operation: 95-33=62
Exploring Operation: 33+41=74, Resulting Numbers: [95, 74]
Generated Node #0,0,3: 98:[95, 74] Operation: 33+41=74
Exploring Operation: 41-33=8, Resulting Numbers: [95, 8]
Generated Node #0,0,4: 98:[95, 8] Operation: 41-33=8
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 98:[95, 8], Operations: ['78-37=41', '41-33=8']
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,98 unequal: No Solution
Exploring Operation: 95*8=760, Resulting Numbers: [760]
760,98 unequal: No Solution
Exploring Operation: 95+8=103, Resulting Numbers: [103]
103,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[33, 54], Operations: ['78-37=41', '95-41=54']
Exploring Operation: 33+54=87, Resulting Numbers: [87]
87,98 unequal: No Solution
Exploring Operation: 33*54=1782, Resulting Numbers: [1782]
1782,98 unequal: No Solution
Exploring Operation: 54-33=21, Resulting Numbers: [21]
21,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 98:[41, 62], Operations: ['78-37=41', '95-33=62']
Exploring Operation: 41*62=2542, Resulting Numbers: [2542]
2542,98 unequal: No Solution
Exploring Operation: 62-41=21, Resulting Numbers: [21]
21,98 unequal: No Solution
Exploring Operation: 41+62=103, Resulting Numbers: [103]
103,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 98:[95, 74], Operations: ['78-37=41', '33+41=74']
Exploring Operation: 95*74=7030, Resulting Numbers: [7030]
7030,98 unequal: No Solution
Exploring Operation: 95+74=169, Resulting Numbers: [169]
169,98 unequal: No Solution
Exploring Operation: 95-74=21, Resulting Numbers: [21]
21,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 98:[41, 128], Operations: ['78-37=41', '95+33=128']
Exploring Operation: 41*128=5248, Resulting Numbers: [5248]
5248,98 unequal: No Solution
Exploring Operation: 41+128=169, Resulting Numbers: [169]
169,98 unequal: No Solution
Exploring Operation: 128-41=87, Resulting Numbers: [87]
87,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 98:[37, 95, 111], Operations: ['78+33=111']
Exploring Operation: 111/37=3, Resulting Numbers: [95, 3]
Generated Node #0,2,0: 98:[95, 3] Operation: 111/37=3
Exploring Operation: 111-95=16, Resulting Numbers: [37, 16]
Generated Node #0,2,1: 98:[37, 16] Operation: 111-95=16
Exploring Operation: 37+95=132, Resulting Numbers: [111, 132]
Generated Node #0,2,2: 98:[111, 132] Operation: 37+95=132
Exploring Operation: 95-37=58, Resulting Numbers: [111, 58]
Generated Node #0,2,3: 98:[111, 58] Operation: 95-37=58
Exploring Operation: 111-37=74, Resulting Numbers: [95, 74]
Generated Node #0,2,4: 98:[95, 74] Operation: 111-37=74
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 98:[95, 3], Operations: ['78+33=111', '111/37=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,98 unequal: No Solution
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[37, 78, 95, 33], Operations: []
Exploring Operation: 78+33=111, Resulting Numbers: [37, 95, 111]
Generated Node #0,2: 98:[37, 95, 111] Operation: 78+33=111
Moving to Node #0,2
Current State: 98:[37, 95, 111], Operations: ['78+33=111']
Exploring Operation: 111/37=3, Resulting Numbers: [95, 3]
Generated Node #0,2,0: 98:[95, 3] Operation: 111/37=3
Moving to Node #0,2,0
Current State: 98:[95, 3], Operations: ['78+33=111', '111/37=3']
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.934028 | hs_5 | mult_heuristic |
[
46,
56,
19,
58
] | 49 | [
"56-46=10",
"58-19=39",
"10+39=49"
] | Current State: 49:[46, 56, 19, 58], Operations: []
Exploring Operation: 56-46=10, Resulting Numbers: [19, 58, 10]
Generated Node #2: [19, 58, 10] from Operation: 56-46=10
Current State: 49:[19, 58, 10], Operations: ['56-46=10']
Exploring Operation: 58-19=39, Resulting Numbers: [10, 39]
Generated Node #3: [10, 39] from Operation: 58-19=39
Current State: 49:[10, 39], Operations: ['56-46=10', '58-19=39']
Exploring Operation: 10+39=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[46, 56, 19, 58], Operations: []
Exploring Operation: 58-46=12, Resulting Numbers: [56, 19, 12]
Generated Node #0,0: 49:[56, 19, 12] Operation: 58-46=12
Exploring Operation: 58-56=2, Resulting Numbers: [46, 19, 2]
Generated Node #0,1: 49:[46, 19, 2] Operation: 58-56=2
Exploring Operation: 56-46=10, Resulting Numbers: [19, 58, 10]
Generated Node #0,2: 49:[19, 58, 10] Operation: 56-46=10
Exploring Operation: 58-19=39, Resulting Numbers: [46, 56, 39]
Generated Node #0,3: 49:[46, 56, 39] Operation: 58-19=39
Exploring Operation: 56-19=37, Resulting Numbers: [46, 58, 37]
Generated Node #0,4: 49:[46, 58, 37] Operation: 56-19=37
Moving to Node #0,1
Current State: 49:[46, 19, 2], Operations: ['58-56=2']
Exploring Operation: 19*2=38, Resulting Numbers: [46, 38]
Generated Node #0,1,0: 49:[46, 38] Operation: 19*2=38
Exploring Operation: 19+2=21, Resulting Numbers: [46, 21]
Generated Node #0,1,1: 49:[46, 21] Operation: 19+2=21
Exploring Operation: 46-2=44, Resulting Numbers: [19, 44]
Generated Node #0,1,2: 49:[19, 44] Operation: 46-2=44
Exploring Operation: 19-2=17, Resulting Numbers: [46, 17]
Generated Node #0,1,3: 49:[46, 17] Operation: 19-2=17
Exploring Operation: 46+2=48, Resulting Numbers: [19, 48]
Generated Node #0,1,4: 49:[19, 48] Operation: 46+2=48
Moving to Node #0,3
Current State: 49:[46, 56, 39], Operations: ['58-19=39']
Exploring Operation: 56-39=17, Resulting Numbers: [46, 17]
Generated Node #0,3,0: 49:[46, 17] Operation: 56-39=17
Exploring Operation: 56+39=95, Resulting Numbers: [46, 95]
Generated Node #0,3,1: 49:[46, 95] Operation: 56+39=95
Exploring Operation: 56-46=10, Resulting Numbers: [39, 10]
Generated Node #0,3,2: 49:[39, 10] Operation: 56-46=10
Exploring Operation: 46+39=85, Resulting Numbers: [56, 85]
Generated Node #0,3,3: 49:[56, 85] Operation: 46+39=85
Exploring Operation: 46-39=7, Resulting Numbers: [56, 7]
Generated Node #0,3,4: 49:[56, 7] Operation: 46-39=7
Moving to Node #0,0
Current State: 49:[56, 19, 12], Operations: ['58-46=12']
Exploring Operation: 56-19=37, Resulting Numbers: [12, 37]
Generated Node #0,0,0: 49:[12, 37] Operation: 56-19=37
Exploring Operation: 19+12=31, Resulting Numbers: [56, 31]
Generated Node #0,0,1: 49:[56, 31] Operation: 19+12=31
Exploring Operation: 56+19=75, Resulting Numbers: [12, 75]
Generated Node #0,0,2: 49:[12, 75] Operation: 56+19=75
Exploring Operation: 56-12=44, Resulting Numbers: [19, 44]
Generated Node #0,0,3: 49:[19, 44] Operation: 56-12=44
Exploring Operation: 19-12=7, Resulting Numbers: [56, 7]
Generated Node #0,0,4: 49:[56, 7] Operation: 19-12=7
Moving to Node #0,2
Current State: 49:[19, 58, 10], Operations: ['56-46=10']
Exploring Operation: 19+10=29, Resulting Numbers: [58, 29]
Generated Node #0,2,0: 49:[58, 29] Operation: 19+10=29
Exploring Operation: 58-19=39, Resulting Numbers: [10, 39]
Generated Node #0,2,1: 49:[10, 39] Operation: 58-19=39
Exploring Operation: 19-10=9, Resulting Numbers: [58, 9]
Generated Node #0,2,2: 49:[58, 9] Operation: 19-10=9
Exploring Operation: 19+58=77, Resulting Numbers: [10, 77]
Generated Node #0,2,3: 49:[10, 77] Operation: 19+58=77
Exploring Operation: 58-10=48, Resulting Numbers: [19, 48]
Generated Node #0,2,4: 49:[19, 48] Operation: 58-10=48
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 49:[58, 9], Operations: ['56-46=10', '19-10=9']
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[46, 56, 19, 58], Operations: []
Exploring Operation: 56-46=10, Resulting Numbers: [19, 58, 10]
Generated Node #0,2: 49:[19, 58, 10] Operation: 56-46=10
Moving to Node #0,2
Current State: 49:[19, 58, 10], Operations: ['56-46=10']
Exploring Operation: 19-10=9, Resulting Numbers: [58, 9]
Generated Node #0,2,2: 49:[58, 9] Operation: 19-10=9
Moving to Node #0,2,2
Current State: 49:[58, 9], Operations: ['56-46=10', '19-10=9']
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_5 | mult_heuristic |
[
70,
97,
98,
89
] | 18 | [
"97-70=27",
"98-89=9",
"27-9=18"
] | Current State: 18:[70, 97, 98, 89], Operations: []
Exploring Operation: 97-70=27, Resulting Numbers: [98, 89, 27]
Generated Node #2: [98, 89, 27] from Operation: 97-70=27
Current State: 18:[98, 89, 27], Operations: ['97-70=27']
Exploring Operation: 98-89=9, Resulting Numbers: [27, 9]
Generated Node #3: [27, 9] from Operation: 98-89=9
Current State: 18:[27, 9], Operations: ['97-70=27', '98-89=9']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[70, 97, 98, 89], Operations: []
Exploring Operation: 98-89=9, Resulting Numbers: [70, 97, 9]
Generated Node #0,0: 18:[70, 97, 9] Operation: 98-89=9
Exploring Operation: 97-89=8, Resulting Numbers: [70, 98, 8]
Generated Node #0,1: 18:[70, 98, 8] Operation: 97-89=8
Exploring Operation: 97-70=27, Resulting Numbers: [98, 89, 27]
Generated Node #0,2: 18:[98, 89, 27] Operation: 97-70=27
Exploring Operation: 98-97=1, Resulting Numbers: [70, 89, 1]
Generated Node #0,3: 18:[70, 89, 1] Operation: 98-97=1
Moving to Node #0,3
Current State: 18:[70, 89, 1], Operations: ['98-97=1']
Exploring Operation: 70-1=69, Resulting Numbers: [89, 69]
Generated Node #0,3,0: 18:[89, 69] Operation: 70-1=69
Exploring Operation: 70*1=70, Resulting Numbers: [89, 70]
Generated Node #0,3,1: 18:[89, 70] Operation: 70*1=70
Exploring Operation: 89-70=19, Resulting Numbers: [1, 19]
Generated Node #0,3,2: 18:[1, 19] Operation: 89-70=19
Exploring Operation: 89-1=88, Resulting Numbers: [70, 88]
Generated Node #0,3,3: 18:[70, 88] Operation: 89-1=88
Moving to Node #0,0
Current State: 18:[70, 97, 9], Operations: ['98-89=9']
Exploring Operation: 97-70=27, Resulting Numbers: [9, 27]
Generated Node #0,0,0: 18:[9, 27] Operation: 97-70=27
Exploring Operation: 70+9=79, Resulting Numbers: [97, 79]
Generated Node #0,0,1: 18:[97, 79] Operation: 70+9=79
Exploring Operation: 70-9=61, Resulting Numbers: [97, 61]
Generated Node #0,0,2: 18:[97, 61] Operation: 70-9=61
Exploring Operation: 97-9=88, Resulting Numbers: [70, 88]
Generated Node #0,0,3: 18:[70, 88] Operation: 97-9=88
Moving to Node #0,1
Current State: 18:[70, 98, 8], Operations: ['97-89=8']
Exploring Operation: 70+8=78, Resulting Numbers: [98, 78]
Generated Node #0,1,0: 18:[98, 78] Operation: 70+8=78
Exploring Operation: 98-70=28, Resulting Numbers: [8, 28]
Generated Node #0,1,1: 18:[8, 28] Operation: 98-70=28
Exploring Operation: 70-8=62, Resulting Numbers: [98, 62]
Generated Node #0,1,2: 18:[98, 62] Operation: 70-8=62
Exploring Operation: 98-8=90, Resulting Numbers: [70, 90]
Generated Node #0,1,3: 18:[70, 90] Operation: 98-8=90
Moving to Node #0,2
Current State: 18:[98, 89, 27], Operations: ['97-70=27']
Exploring Operation: 98-27=71, Resulting Numbers: [89, 71]
Generated Node #0,2,0: 18:[89, 71] Operation: 98-27=71
Exploring Operation: 98+89=187, Resulting Numbers: [27, 187]
Generated Node #0,2,1: 18:[27, 187] Operation: 98+89=187
Exploring Operation: 89-27=62, Resulting Numbers: [98, 62]
Generated Node #0,2,2: 18:[98, 62] Operation: 89-27=62
Exploring Operation: 98-89=9, Resulting Numbers: [27, 9]
Generated Node #0,2,3: 18:[27, 9] Operation: 98-89=9
Moving to Node #0,3,2
Current State: 18:[1, 19], Operations: ['98-97=1', '89-70=19']
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,18 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[70, 97, 98, 89], Operations: []
Exploring Operation: 98-97=1, Resulting Numbers: [70, 89, 1]
Generated Node #0,3: 18:[70, 89, 1] Operation: 98-97=1
Moving to Node #0,3
Current State: 18:[70, 89, 1], Operations: ['98-97=1']
Exploring Operation: 89-70=19, Resulting Numbers: [1, 19]
Generated Node #0,3,2: 18:[1, 19] Operation: 89-70=19
Moving to Node #0,3,2
Current State: 18:[1, 19], Operations: ['98-97=1', '89-70=19']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 0.977431 | hs_4 | mult_heuristic |
[
77,
57,
3,
41
] | 45 | [
"77-41=36",
"36/3=12",
"57-12=45"
] | Current State: 45:[77, 57, 3, 41], Operations: []
Exploring Operation: 77-41=36, Resulting Numbers: [57, 3, 36]
Generated Node #2: [57, 3, 36] from Operation: 77-41=36
Current State: 45:[57, 3, 36], Operations: ['77-41=36']
Exploring Operation: 36/3=12, Resulting Numbers: [57, 12]
Generated Node #3: [57, 12] from Operation: 36/3=12
Current State: 45:[57, 12], Operations: ['77-41=36', '36/3=12']
Exploring Operation: 57-12=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[77, 57, 3, 41], Operations: []
Exploring Operation: 77-41=36, Resulting Numbers: [57, 3, 36]
Generated Node #0,0: 45:[57, 3, 36] Operation: 77-41=36
Exploring Operation: 57-41=16, Resulting Numbers: [77, 3, 16]
Generated Node #0,1: 45:[77, 3, 16] Operation: 57-41=16
Exploring Operation: 77-57=20, Resulting Numbers: [3, 41, 20]
Generated Node #0,2: 45:[3, 41, 20] Operation: 77-57=20
Exploring Operation: 57/3=19, Resulting Numbers: [77, 41, 19]
Generated Node #0,3: 45:[77, 41, 19] Operation: 57/3=19
Exploring Operation: 77-3=74, Resulting Numbers: [57, 41, 74]
Generated Node #0,4: 45:[57, 41, 74] Operation: 77-3=74
Moving to Node #0,2
Current State: 45:[3, 41, 20], Operations: ['77-57=20']
Exploring Operation: 20-3=17, Resulting Numbers: [41, 17]
Generated Node #0,2,0: 45:[41, 17] Operation: 20-3=17
Exploring Operation: 41-20=21, Resulting Numbers: [3, 21]
Generated Node #0,2,1: 45:[3, 21] Operation: 41-20=21
Exploring Operation: 41-3=38, Resulting Numbers: [20, 38]
Generated Node #0,2,2: 45:[20, 38] Operation: 41-3=38
Exploring Operation: 3+41=44, Resulting Numbers: [20, 44]
Generated Node #0,2,3: 45:[20, 44] Operation: 3+41=44
Exploring Operation: 3+20=23, Resulting Numbers: [41, 23]
Generated Node #0,2,4: 45:[41, 23] Operation: 3+20=23
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 45:[41, 17], Operations: ['77-57=20', '20-3=17']
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,45 unequal: No Solution
Exploring Operation: 41*17=697, Resulting Numbers: [697]
697,45 unequal: No Solution
Exploring Operation: 41+17=58, Resulting Numbers: [58]
58,45 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:[3, 21], Operations: ['77-57=20', '41-20=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,45 unequal: No Solution
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,45 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,45 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 45:[20, 44], Operations: ['77-57=20', '3+41=44']
Exploring Operation: 20+44=64, Resulting Numbers: [64]
64,45 unequal: No Solution
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,45 unequal: No Solution
Exploring Operation: 20*44=880, Resulting Numbers: [880]
880,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 45:[20, 38], Operations: ['77-57=20', '41-3=38']
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,45 unequal: No Solution
Exploring Operation: 20*38=760, Resulting Numbers: [760]
760,45 unequal: No Solution
Exploring Operation: 20+38=58, Resulting Numbers: [58]
58,45 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 #0,2,4
Current State: 45:[41, 23], Operations: ['77-57=20', '3+20=23']
Exploring Operation: 41+23=64, Resulting Numbers: [64]
64,45 unequal: No Solution
Exploring Operation: 41*23=943, Resulting Numbers: [943]
943,45 unequal: No Solution
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,45 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: 45:[57, 3, 36], Operations: ['77-41=36']
Exploring Operation: 57-36=21, Resulting Numbers: [3, 21]
Generated Node #0,0,0: 45:[3, 21] Operation: 57-36=21
Exploring Operation: 3+36=39, Resulting Numbers: [57, 39]
Generated Node #0,0,1: 45:[57, 39] Operation: 3+36=39
Exploring Operation: 36/3=12, Resulting Numbers: [57, 12]
Generated Node #0,0,2: 45:[57, 12] Operation: 36/3=12
Exploring Operation: 57-3=54, Resulting Numbers: [36, 54]
Generated Node #0,0,3: 45:[36, 54] Operation: 57-3=54
Exploring Operation: 57/3=19, Resulting Numbers: [36, 19]
Generated Node #0,0,4: 45:[36, 19] Operation: 57/3=19
Moving to Node #0,1
Current State: 45:[77, 3, 16], Operations: ['57-41=16']
Exploring Operation: 3*16=48, Resulting Numbers: [77, 48]
Generated Node #0,1,0: 45:[77, 48] Operation: 3*16=48
Exploring Operation: 77-16=61, Resulting Numbers: [3, 61]
Generated Node #0,1,1: 45:[3, 61] Operation: 77-16=61
Exploring Operation: 77-3=74, Resulting Numbers: [16, 74]
Generated Node #0,1,2: 45:[16, 74] Operation: 77-3=74
Exploring Operation: 16-3=13, Resulting Numbers: [77, 13]
Generated Node #0,1,3: 45:[77, 13] Operation: 16-3=13
Exploring Operation: 77+3=80, Resulting Numbers: [16, 80]
Generated Node #0,1,4: 45:[16, 80] Operation: 77+3=80
Moving to Node #0,3
Current State: 45:[77, 41, 19], Operations: ['57/3=19']
Exploring Operation: 77+19=96, Resulting Numbers: [41, 96]
Generated Node #0,3,0: 45:[41, 96] Operation: 77+19=96
Exploring Operation: 77-19=58, Resulting Numbers: [41, 58]
Generated Node #0,3,1: 45:[41, 58] Operation: 77-19=58
Exploring Operation: 77-41=36, Resulting Numbers: [19, 36]
Generated Node #0,3,2: 45:[19, 36] Operation: 77-41=36
Exploring Operation: 41-19=22, Resulting Numbers: [77, 22]
Generated Node #0,3,3: 45:[77, 22] Operation: 41-19=22
Exploring Operation: 41+19=60, Resulting Numbers: [77, 60]
Generated Node #0,3,4: 45:[77, 60] Operation: 41+19=60
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 45:[19, 36], Operations: ['57/3=19', '77-41=36']
Exploring Operation: 19*36=684, Resulting Numbers: [684]
684,45 unequal: No Solution
Exploring Operation: 19+36=55, Resulting Numbers: [55]
55,45 unequal: No Solution
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,45 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 #0,3,1
Current State: 45:[41, 58], Operations: ['57/3=19', '77-19=58']
Exploring Operation: 41*58=2378, Resulting Numbers: [2378]
2378,45 unequal: No Solution
Exploring Operation: 41+58=99, Resulting Numbers: [99]
99,45 unequal: No Solution
Exploring Operation: 58-41=17, Resulting Numbers: [17]
17,45 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 #0,3,3
Current State: 45:[77, 22], Operations: ['57/3=19', '41-19=22']
Exploring Operation: 77+22=99, Resulting Numbers: [99]
99,45 unequal: No Solution
Exploring Operation: 77*22=1694, Resulting Numbers: [1694]
1694,45 unequal: No Solution
Exploring Operation: 77-22=55, Resulting Numbers: [55]
55,45 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 #0,3,4
Current State: 45:[77, 60], Operations: ['57/3=19', '41+19=60']
Exploring Operation: 77-60=17, Resulting Numbers: [17]
17,45 unequal: No Solution
Exploring Operation: 77*60=4620, Resulting Numbers: [4620]
4620,45 unequal: No Solution
Exploring Operation: 77+60=137, Resulting Numbers: [137]
137,45 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 #0,3,0
Current State: 45:[41, 96], Operations: ['57/3=19', '77+19=96']
Exploring Operation: 41+96=137, Resulting Numbers: [137]
137,45 unequal: No Solution
Exploring Operation: 41*96=3936, Resulting Numbers: [3936]
3936,45 unequal: No Solution
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,45 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: 45:[57, 41, 74], Operations: ['77-3=74']
Exploring Operation: 74-57=17, Resulting Numbers: [41, 17]
Generated Node #0,4,0: 45:[41, 17] Operation: 74-57=17
Exploring Operation: 57-41=16, Resulting Numbers: [74, 16]
Generated Node #0,4,1: 45:[74, 16] Operation: 57-41=16
Exploring Operation: 57+41=98, Resulting Numbers: [74, 98]
Generated Node #0,4,2: 45:[74, 98] Operation: 57+41=98
Exploring Operation: 74-41=33, Resulting Numbers: [57, 33]
Generated Node #0,4,3: 45:[57, 33] Operation: 74-41=33
Exploring Operation: 41+74=115, Resulting Numbers: [57, 115]
Generated Node #0,4,4: 45:[57, 115] Operation: 41+74=115
Moving to Node #0,0,0
Current State: 45:[3, 21], Operations: ['77-41=36', '57-36=21']
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,45 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,45 unequal: No Solution
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,45 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,45 unequal: No Solution
Moving to Node #0,4,0
Current State: 45:[41, 17], Operations: ['77-3=74', '74-57=17']
Exploring Operation: 41*17=697, Resulting Numbers: [697]
697,45 unequal: No Solution
Exploring Operation: 41+17=58, Resulting Numbers: [58]
58,45 unequal: No Solution
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,45 unequal: No Solution
Moving to Node #0,0,4
Current State: 45:[36, 19], Operations: ['77-41=36', '57/3=19']
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,45 unequal: No Solution
Exploring Operation: 36+19=55, Resulting Numbers: [55]
55,45 unequal: No Solution
Exploring Operation: 36*19=684, Resulting Numbers: [684]
684,45 unequal: No Solution
Moving to Node #0,0,2
Current State: 45:[57, 12], Operations: ['77-41=36', '36/3=12']
Exploring Operation: 57-12=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[77, 57, 3, 41], Operations: []
Exploring Operation: 77-41=36, Resulting Numbers: [57, 3, 36]
Generated Node #0,0: 45:[57, 3, 36] Operation: 77-41=36
Moving to Node #0,0
Current State: 45:[57, 3, 36], Operations: ['77-41=36']
Exploring Operation: 36/3=12, Resulting Numbers: [57, 12]
Generated Node #0,0,2: 45:[57, 12] Operation: 36/3=12
Moving to Node #0,0,2
Current State: 45:[57, 12], Operations: ['77-41=36', '36/3=12']
Exploring Operation: 57-12=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 0.934028 | hs_5 | mult_heuristic |
[
35,
61,
20,
39
] | 33 | [
"61-35=26",
"20+39=59",
"59-26=33"
] | Current State: 33:[35, 61, 20, 39], Operations: []
Exploring Operation: 61-35=26, Resulting Numbers: [20, 39, 26]
Generated Node #2: [20, 39, 26] from Operation: 61-35=26
Current State: 33:[20, 39, 26], Operations: ['61-35=26']
Exploring Operation: 20+39=59, Resulting Numbers: [26, 59]
Generated Node #3: [26, 59] from Operation: 20+39=59
Current State: 33:[26, 59], Operations: ['61-35=26', '20+39=59']
Exploring Operation: 59-26=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[35, 61, 20, 39], Operations: []
Exploring Operation: 39-35=4, Resulting Numbers: [61, 20, 4]
Generated Node #0,0: 33:[61, 20, 4] Operation: 39-35=4
Exploring Operation: 35-20=15, Resulting Numbers: [61, 39, 15]
Generated Node #0,1: 33:[61, 39, 15] Operation: 35-20=15
Exploring Operation: 61-39=22, Resulting Numbers: [35, 20, 22]
Generated Node #0,2: 33:[35, 20, 22] Operation: 61-39=22
Exploring Operation: 61-20=41, Resulting Numbers: [35, 39, 41]
Generated Node #0,3: 33:[35, 39, 41] Operation: 61-20=41
Exploring Operation: 61-35=26, Resulting Numbers: [20, 39, 26]
Generated Node #0,4: 33:[20, 39, 26] Operation: 61-35=26
Start Sub Search at level 1: Moving to Node #0,3
Current State: 33:[35, 39, 41], Operations: ['61-20=41']
Exploring Operation: 41-35=6, Resulting Numbers: [39, 6]
Generated Node #0,3,0: 33:[39, 6] Operation: 41-35=6
Exploring Operation: 39-35=4, Resulting Numbers: [41, 4]
Generated Node #0,3,1: 33:[41, 4] Operation: 39-35=4
Exploring Operation: 35+39=74, Resulting Numbers: [41, 74]
Generated Node #0,3,2: 33:[41, 74] Operation: 35+39=74
Exploring Operation: 35+41=76, Resulting Numbers: [39, 76]
Generated Node #0,3,3: 33:[39, 76] Operation: 35+41=76
Exploring Operation: 41-39=2, Resulting Numbers: [35, 2]
Generated Node #0,3,4: 33:[35, 2] Operation: 41-39=2
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 33:[35, 2], Operations: ['61-20=41', '41-39=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[35, 61, 20, 39], Operations: []
Exploring Operation: 61-20=41, Resulting Numbers: [35, 39, 41]
Generated Node #0,3: 33:[35, 39, 41] Operation: 61-20=41
Moving to Node #0,3
Current State: 33:[35, 39, 41], Operations: ['61-20=41']
Exploring Operation: 41-39=2, Resulting Numbers: [35, 2]
Generated Node #0,3,4: 33:[35, 2] Operation: 41-39=2
Moving to Node #0,3,4
Current State: 33:[35, 2], Operations: ['61-20=41', '41-39=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
18,
95,
47,
97
] | 87 | [
"47+97=144",
"144/18=8",
"95-8=87"
] | Current State: 87:[18, 95, 47, 97], Operations: []
Exploring Operation: 47+97=144, Resulting Numbers: [18, 95, 144]
Generated Node #2: [18, 95, 144] from Operation: 47+97=144
Current State: 87:[18, 95, 144], Operations: ['47+97=144']
Exploring Operation: 144/18=8, Resulting Numbers: [95, 8]
Generated Node #3: [95, 8] from Operation: 144/18=8
Current State: 87:[95, 8], Operations: ['47+97=144', '144/18=8']
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[18, 95, 47, 97], Operations: []
Exploring Operation: 47-18=29, Resulting Numbers: [95, 97, 29]
Generated Node #0,0: 87:[95, 97, 29] Operation: 47-18=29
Exploring Operation: 97-95=2, Resulting Numbers: [18, 47, 2]
Generated Node #0,1: 87:[18, 47, 2] Operation: 97-95=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[95, 97, 29], Operations: ['47-18=29']
Exploring Operation: 97-29=68, Resulting Numbers: [95, 68]
Generated Node #0,0,0: 87:[95, 68] Operation: 97-29=68
Exploring Operation: 97-95=2, Resulting Numbers: [29, 2]
Generated Node #0,0,1: 87:[29, 2] Operation: 97-95=2
Moving to Node #0,0,1
Current State: 87:[29, 2], Operations: ['47-18=29', '97-95=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,87 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[95, 68], Operations: ['47-18=29', '97-29=68']
Exploring Operation: 95+68=163, Resulting Numbers: [163]
163,87 unequal: No Solution
Exploring Operation: 95-68=27, Resulting Numbers: [27]
27,87 unequal: No Solution
No 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: 87:[18, 47, 2], Operations: ['97-95=2']
Exploring Operation: 47-18=29, Resulting Numbers: [2, 29]
Generated Node #0,1,0: 87:[2, 29] Operation: 47-18=29
Exploring Operation: 47*2=94, Resulting Numbers: [18, 94]
Generated Node #0,1,1: 87:[18, 94] Operation: 47*2=94
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 87:[2, 29], Operations: ['97-95=2', '47-18=29']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,87 unequal: No Solution
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,87 unequal: No Solution
No 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: 87:[18, 94], Operations: ['97-95=2', '47*2=94']
Exploring Operation: 94-18=76, Resulting Numbers: [76]
76,87 unequal: No Solution
Exploring Operation: 18+94=112, Resulting Numbers: [112]
112,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
54,
8,
8,
85
] | 31 | [
"54+8=62",
"8+85=93",
"93-62=31"
] | Current State: 31:[54, 8, 8, 85], Operations: []
Exploring Operation: 54+8=62, Resulting Numbers: [85, 62]
Generated Node #2: [85, 62] from Operation: 54+8=62
Current State: 31:[85, 62], Operations: ['54+8=62']
Exploring Operation: 8+85=93, Resulting Numbers: [62, 93]
Generated Node #3: [62, 93] from Operation: 8+85=93
Current State: 31:[62, 93], Operations: ['54+8=62', '8+85=93']
Exploring Operation: 93-62=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[54, 8, 8, 85], Operations: []
Exploring Operation: 85-54=31, Resulting Numbers: [8, 8, 31]
Generated Node #0,0: 31:[8, 8, 31] Operation: 85-54=31
Exploring Operation: 8+8=16, Resulting Numbers: [54, 85, 16]
Generated Node #0,1: 31:[54, 85, 16] Operation: 8+8=16
Exploring Operation: 54-8=46, Resulting Numbers: [8, 85, 46]
Generated Node #0,2: 31:[8, 85, 46] Operation: 54-8=46
Exploring Operation: 54-8=46, Resulting Numbers: [8, 85, 46]
Generated Node #0,3: 31:[8, 85, 46] Operation: 54-8=46
Moving to Node #0,0
Current State: 31:[8, 8, 31], Operations: ['85-54=31']
Exploring Operation: 8+8=16, Resulting Numbers: [31, 16]
Generated Node #0,0,0: 31:[31, 16] Operation: 8+8=16
Exploring Operation: 8/8=1, Resulting Numbers: [31, 1]
Generated Node #0,0,1: 31:[31, 1] Operation: 8/8=1
Exploring Operation: 8-8=0, Resulting Numbers: [31, 0]
Generated Node #0,0,2: 31:[31, 0] Operation: 8-8=0
Exploring Operation: 8+31=39, Resulting Numbers: [8, 39]
Generated Node #0,0,3: 31:[8, 39] Operation: 8+31=39
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 31:[31, 16], Operations: ['85-54=31', '8+8=16']
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,31 unequal: No Solution
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,31 unequal: No Solution
Exploring Operation: 31*16=496, Resulting Numbers: [496]
496,31 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 #0,0,1
Current State: 31:[31, 1], Operations: ['85-54=31', '8/8=1']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[54, 8, 8, 85], Operations: []
Exploring Operation: 85-54=31, Resulting Numbers: [8, 8, 31]
Generated Node #0,0: 31:[8, 8, 31] Operation: 85-54=31
Moving to Node #0,0
Current State: 31:[8, 8, 31], Operations: ['85-54=31']
Exploring Operation: 8/8=1, Resulting Numbers: [31, 1]
Generated Node #0,0,1: 31:[31, 1] Operation: 8/8=1
Moving to Node #0,0,1
Current State: 31:[31, 1], Operations: ['85-54=31', '8/8=1']
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
5,
10,
17,
60
] | 58 | [
"5+10=15",
"60-17=43",
"15+43=58"
] | Current State: 58:[5, 10, 17, 60], Operations: []
Exploring Operation: 5+10=15, Resulting Numbers: [17, 60, 15]
Generated Node #2: [17, 60, 15] from Operation: 5+10=15
Current State: 58:[17, 60, 15], Operations: ['5+10=15']
Exploring Operation: 60-17=43, Resulting Numbers: [15, 43]
Generated Node #3: [15, 43] from Operation: 60-17=43
Current State: 58:[15, 43], Operations: ['5+10=15', '60-17=43']
Exploring Operation: 15+43=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[5, 10, 17, 60], Operations: []
Exploring Operation: 10+17=27, Resulting Numbers: [5, 60, 27]
Generated Node #0,0: 58:[5, 60, 27] Operation: 10+17=27
Moving to Node #0,0
Current State: 58:[5, 60, 27], Operations: ['10+17=27']
Exploring Operation: 60-5=55, Resulting Numbers: [27, 55]
Generated Node #0,0,0: 58:[27, 55] Operation: 60-5=55
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[27, 55], Operations: ['10+17=27', '60-5=55']
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
81,
27,
40,
18
] | 66 | [
"81/27=3",
"40-18=22",
"3*22=66"
] | Current State: 66:[81, 27, 40, 18], Operations: []
Exploring Operation: 81/27=3, Resulting Numbers: [40, 18, 3]
Generated Node #2: [40, 18, 3] from Operation: 81/27=3
Current State: 66:[40, 18, 3], Operations: ['81/27=3']
Exploring Operation: 40-18=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 40-18=22
Current State: 66:[3, 22], Operations: ['81/27=3', '40-18=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[81, 27, 40, 18], Operations: []
Exploring Operation: 27+40=67, Resulting Numbers: [81, 18, 67]
Generated Node #0,0: 66:[81, 18, 67] Operation: 27+40=67
Exploring Operation: 81-40=41, Resulting Numbers: [27, 18, 41]
Generated Node #0,1: 66:[27, 18, 41] Operation: 81-40=41
Exploring Operation: 81-18=63, Resulting Numbers: [27, 40, 63]
Generated Node #0,2: 66:[27, 40, 63] Operation: 81-18=63
Exploring Operation: 81/27=3, Resulting Numbers: [40, 18, 3]
Generated Node #0,3: 66:[40, 18, 3] Operation: 81/27=3
Moving to Node #0,3
Current State: 66:[40, 18, 3], Operations: ['81/27=3']
Exploring Operation: 40+18=58, Resulting Numbers: [3, 58]
Generated Node #0,3,0: 66:[3, 58] Operation: 40+18=58
Exploring Operation: 40-18=22, Resulting Numbers: [3, 22]
Generated Node #0,3,1: 66:[3, 22] Operation: 40-18=22
Exploring Operation: 18/3=6, Resulting Numbers: [40, 6]
Generated Node #0,3,2: 66:[40, 6] Operation: 18/3=6
Exploring Operation: 40-3=37, Resulting Numbers: [18, 37]
Generated Node #0,3,3: 66:[18, 37] Operation: 40-3=37
Moving to Node #0,2
Current State: 66:[27, 40, 63], Operations: ['81-18=63']
Exploring Operation: 63-40=23, Resulting Numbers: [27, 23]
Generated Node #0,2,0: 66:[27, 23] Operation: 63-40=23
Exploring Operation: 63-27=36, Resulting Numbers: [40, 36]
Generated Node #0,2,1: 66:[40, 36] Operation: 63-27=36
Exploring Operation: 27+40=67, Resulting Numbers: [63, 67]
Generated Node #0,2,2: 66:[63, 67] Operation: 27+40=67
Exploring Operation: 40-27=13, Resulting Numbers: [63, 13]
Generated Node #0,2,3: 66:[63, 13] Operation: 40-27=13
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 66:[63, 67], Operations: ['81-18=63', '27+40=67']
Exploring Operation: 63*67=4221, Resulting Numbers: [4221]
4221,66 unequal: No Solution
Exploring Operation: 63+67=130, Resulting Numbers: [130]
130,66 unequal: No Solution
Exploring Operation: 67-63=4, Resulting Numbers: [4]
4,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 66:[63, 13], Operations: ['81-18=63', '40-27=13']
Exploring Operation: 63+13=76, Resulting Numbers: [76]
76,66 unequal: No Solution
Exploring Operation: 63-13=50, Resulting Numbers: [50]
50,66 unequal: No Solution
Exploring Operation: 63*13=819, Resulting Numbers: [819]
819,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 66:[27, 23], Operations: ['81-18=63', '63-40=23']
Exploring Operation: 27+23=50, Resulting Numbers: [50]
50,66 unequal: No Solution
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,66 unequal: No Solution
Exploring Operation: 27*23=621, Resulting Numbers: [621]
621,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 66:[40, 36], Operations: ['81-18=63', '63-27=36']
Exploring Operation: 40*36=1440, Resulting Numbers: [1440]
1440,66 unequal: No Solution
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,66 unequal: No Solution
Exploring Operation: 40+36=76, Resulting Numbers: [76]
76,66 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: 66:[27, 18, 41], Operations: ['81-40=41']
Exploring Operation: 27+41=68, Resulting Numbers: [18, 68]
Generated Node #0,1,0: 66:[18, 68] Operation: 27+41=68
Exploring Operation: 41-18=23, Resulting Numbers: [27, 23]
Generated Node #0,1,1: 66:[27, 23] Operation: 41-18=23
Exploring Operation: 27-18=9, Resulting Numbers: [41, 9]
Generated Node #0,1,2: 66:[41, 9] Operation: 27-18=9
Exploring Operation: 41-27=14, Resulting Numbers: [18, 14]
Generated Node #0,1,3: 66:[18, 14] Operation: 41-27=14
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 66:[18, 68], Operations: ['81-40=41', '27+41=68']
Exploring Operation: 18+68=86, Resulting Numbers: [86]
86,66 unequal: No Solution
Exploring Operation: 68-18=50, Resulting Numbers: [50]
50,66 unequal: No Solution
Exploring Operation: 18*68=1224, Resulting Numbers: [1224]
1224,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 66:[27, 23], Operations: ['81-40=41', '41-18=23']
Exploring Operation: 27+23=50, Resulting Numbers: [50]
50,66 unequal: No Solution
Exploring Operation: 27*23=621, Resulting Numbers: [621]
621,66 unequal: No Solution
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 66:[18, 14], Operations: ['81-40=41', '41-27=14']
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,66 unequal: No Solution
Exploring Operation: 18*14=252, Resulting Numbers: [252]
252,66 unequal: No Solution
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 66:[41, 9], Operations: ['81-40=41', '27-18=9']
Exploring Operation: 41*9=369, Resulting Numbers: [369]
369,66 unequal: No Solution
Exploring Operation: 41+9=50, Resulting Numbers: [50]
50,66 unequal: No Solution
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,66 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: 66:[81, 18, 67], Operations: ['27+40=67']
Exploring Operation: 67-18=49, Resulting Numbers: [81, 49]
Generated Node #0,0,0: 66:[81, 49] Operation: 67-18=49
Exploring Operation: 81+18=99, Resulting Numbers: [67, 99]
Generated Node #0,0,1: 66:[67, 99] Operation: 81+18=99
Exploring Operation: 81-67=14, Resulting Numbers: [18, 14]
Generated Node #0,0,2: 66:[18, 14] Operation: 81-67=14
Exploring Operation: 81-18=63, Resulting Numbers: [67, 63]
Generated Node #0,0,3: 66:[67, 63] Operation: 81-18=63
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 66:[67, 63], Operations: ['27+40=67', '81-18=63']
Exploring Operation: 67+63=130, Resulting Numbers: [130]
130,66 unequal: No Solution
Exploring Operation: 67*63=4221, Resulting Numbers: [4221]
4221,66 unequal: No Solution
Exploring Operation: 67-63=4, Resulting Numbers: [4]
4,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 66:[18, 14], Operations: ['27+40=67', '81-67=14']
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,66 unequal: No Solution
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,66 unequal: No Solution
Exploring Operation: 18*14=252, Resulting Numbers: [252]
252,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[81, 49], Operations: ['27+40=67', '67-18=49']
Exploring Operation: 81+49=130, Resulting Numbers: [130]
130,66 unequal: No Solution
Exploring Operation: 81*49=3969, Resulting Numbers: [3969]
3969,66 unequal: No Solution
Exploring Operation: 81-49=32, Resulting Numbers: [32]
32,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 66:[67, 99], Operations: ['27+40=67', '81+18=99']
Exploring Operation: 67*99=6633, Resulting Numbers: [6633]
6633,66 unequal: No Solution
Exploring Operation: 67+99=166, Resulting Numbers: [166]
166,66 unequal: No Solution
Exploring Operation: 99-67=32, Resulting Numbers: [32]
32,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 66:[3, 22], Operations: ['81/27=3', '40-18=22']
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,66 unequal: No Solution
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[81, 27, 40, 18], Operations: []
Exploring Operation: 81/27=3, Resulting Numbers: [40, 18, 3]
Generated Node #0,3: 66:[40, 18, 3] Operation: 81/27=3
Moving to Node #0,3
Current State: 66:[40, 18, 3], Operations: ['81/27=3']
Exploring Operation: 40-18=22, Resulting Numbers: [3, 22]
Generated Node #0,3,1: 66:[3, 22] Operation: 40-18=22
Moving to Node #0,3,1
Current State: 66:[3, 22], Operations: ['81/27=3', '40-18=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 0.946181 | hs_4 | sum_heuristic |
[
88,
32,
81,
80
] | 57 | [
"88-32=56",
"81-80=1",
"56+1=57"
] | Current State: 57:[88, 32, 81, 80], Operations: []
Exploring Operation: 88-32=56, Resulting Numbers: [81, 80, 56]
Generated Node #2: [81, 80, 56] from Operation: 88-32=56
Current State: 57:[81, 80, 56], Operations: ['88-32=56']
Exploring Operation: 81-80=1, Resulting Numbers: [56, 1]
Generated Node #3: [56, 1] from Operation: 81-80=1
Current State: 57:[56, 1], Operations: ['88-32=56', '81-80=1']
Exploring Operation: 56+1=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[88, 32, 81, 80], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [88, 32, 1]
Generated Node #0,0: 57:[88, 32, 1] Operation: 81-80=1
Exploring Operation: 88-80=8, Resulting Numbers: [32, 81, 8]
Generated Node #0,1: 57:[32, 81, 8] Operation: 88-80=8
Exploring Operation: 88-81=7, Resulting Numbers: [32, 80, 7]
Generated Node #0,2: 57:[32, 80, 7] Operation: 88-81=7
Start Sub Search at level 1: Moving to Node #0,2
Current State: 57:[32, 80, 7], Operations: ['88-81=7']
Exploring Operation: 80-32=48, Resulting Numbers: [7, 48]
Generated Node #0,2,0: 57:[7, 48] Operation: 80-32=48
Exploring Operation: 32-7=25, Resulting Numbers: [80, 25]
Generated Node #0,2,1: 57:[80, 25] Operation: 32-7=25
Exploring Operation: 80-7=73, Resulting Numbers: [32, 73]
Generated Node #0,2,2: 57:[32, 73] Operation: 80-7=73
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 57:[7, 48], Operations: ['88-81=7', '80-32=48']
Exploring Operation: 7*48=336, Resulting Numbers: [336]
336,57 unequal: No Solution
Exploring Operation: 7+48=55, Resulting Numbers: [55]
55,57 unequal: No Solution
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 57:[80, 25], Operations: ['88-81=7', '32-7=25']
Exploring Operation: 80+25=105, Resulting Numbers: [105]
105,57 unequal: No Solution
Exploring Operation: 80-25=55, Resulting Numbers: [55]
55,57 unequal: No Solution
Exploring Operation: 80*25=2000, Resulting Numbers: [2000]
2000,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 57:[32, 73], Operations: ['88-81=7', '80-7=73']
Exploring Operation: 32*73=2336, Resulting Numbers: [2336]
2336,57 unequal: No Solution
Exploring Operation: 32+73=105, Resulting Numbers: [105]
105,57 unequal: No Solution
Exploring Operation: 73-32=41, Resulting Numbers: [41]
41,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 57:[32, 81, 8], Operations: ['88-80=8']
Exploring Operation: 81-32=49, Resulting Numbers: [8, 49]
Generated Node #0,1,0: 57:[8, 49] Operation: 81-32=49
Exploring Operation: 32-8=24, Resulting Numbers: [81, 24]
Generated Node #0,1,1: 57:[81, 24] Operation: 32-8=24
Exploring Operation: 32/8=4, Resulting Numbers: [81, 4]
Generated Node #0,1,2: 57:[81, 4] Operation: 32/8=4
Moving to Node #0,1,0
Current State: 57:[8, 49], Operations: ['88-80=8', '81-32=49']
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,57 unequal: No Solution
Exploring Operation: 8*49=392, Resulting Numbers: [392]
392,57 unequal: No Solution
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[88, 32, 81, 80], Operations: []
Exploring Operation: 88-80=8, Resulting Numbers: [32, 81, 8]
Generated Node #0,1: 57:[32, 81, 8] Operation: 88-80=8
Moving to Node #0,1
Current State: 57:[32, 81, 8], Operations: ['88-80=8']
Exploring Operation: 81-32=49, Resulting Numbers: [8, 49]
Generated Node #0,1,0: 57:[8, 49] Operation: 81-32=49
Moving to Node #0,1,0
Current State: 57:[8, 49], Operations: ['88-80=8', '81-32=49']
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_3 | sum_heuristic |
[
50,
22,
17,
66
] | 55 | [
"50-22=28",
"17+66=83",
"83-28=55"
] | Current State: 55:[50, 22, 17, 66], Operations: []
Exploring Operation: 50-22=28, Resulting Numbers: [17, 66, 28]
Generated Node #2: [17, 66, 28] from Operation: 50-22=28
Current State: 55:[17, 66, 28], Operations: ['50-22=28']
Exploring Operation: 17+66=83, Resulting Numbers: [28, 83]
Generated Node #3: [28, 83] from Operation: 17+66=83
Current State: 55:[28, 83], Operations: ['50-22=28', '17+66=83']
Exploring Operation: 83-28=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[50, 22, 17, 66], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [50, 17, 3]
Generated Node #0,0: 55:[50, 17, 3] Operation: 66/22=3
Exploring Operation: 66-50=16, Resulting Numbers: [22, 17, 16]
Generated Node #0,1: 55:[22, 17, 16] Operation: 66-50=16
Exploring Operation: 22-17=5, Resulting Numbers: [50, 66, 5]
Generated Node #0,2: 55:[50, 66, 5] Operation: 22-17=5
Exploring Operation: 66-17=49, Resulting Numbers: [50, 22, 49]
Generated Node #0,3: 55:[50, 22, 49] Operation: 66-17=49
Exploring Operation: 66-22=44, Resulting Numbers: [50, 17, 44]
Generated Node #0,4: 55:[50, 17, 44] Operation: 66-22=44
Moving to Node #0,0
Current State: 55:[50, 17, 3], Operations: ['66/22=3']
Exploring Operation: 50+17=67, Resulting Numbers: [3, 67]
Generated Node #0,0,0: 55:[3, 67] Operation: 50+17=67
Exploring Operation: 50-3=47, Resulting Numbers: [17, 47]
Generated Node #0,0,1: 55:[17, 47] Operation: 50-3=47
Exploring Operation: 50+3=53, Resulting Numbers: [17, 53]
Generated Node #0,0,2: 55:[17, 53] Operation: 50+3=53
Exploring Operation: 17-3=14, Resulting Numbers: [50, 14]
Generated Node #0,0,3: 55:[50, 14] Operation: 17-3=14
Exploring Operation: 17*3=51, Resulting Numbers: [50, 51]
Generated Node #0,0,4: 55:[50, 51] Operation: 17*3=51
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 55:[17, 53], Operations: ['66/22=3', '50+3=53']
Exploring Operation: 53-17=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 17*53=901, Resulting Numbers: [901]
901,55 unequal: No Solution
Exploring Operation: 17+53=70, Resulting Numbers: [70]
70,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 55:[50, 14], Operations: ['66/22=3', '17-3=14']
Exploring Operation: 50-14=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 50+14=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 50*14=700, Resulting Numbers: [700]
700,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 55:[50, 51], Operations: ['66/22=3', '17*3=51']
Exploring Operation: 50*51=2550, Resulting Numbers: [2550]
2550,55 unequal: No Solution
Exploring Operation: 50+51=101, Resulting Numbers: [101]
101,55 unequal: No Solution
Exploring Operation: 51-50=1, Resulting Numbers: [1]
1,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[3, 67], Operations: ['66/22=3', '50+17=67']
Exploring Operation: 3+67=70, Resulting Numbers: [70]
70,55 unequal: No Solution
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 3*67=201, Resulting Numbers: [201]
201,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 55:[17, 47], Operations: ['66/22=3', '50-3=47']
Exploring Operation: 17+47=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 17*47=799, Resulting Numbers: [799]
799,55 unequal: No Solution
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,55 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: 55:[50, 66, 5], Operations: ['22-17=5']
Exploring Operation: 50+5=55, Resulting Numbers: [66, 55]
Generated Node #0,2,0: 55:[66, 55] Operation: 50+5=55
Exploring Operation: 50-5=45, Resulting Numbers: [66, 45]
Generated Node #0,2,1: 55:[66, 45] Operation: 50-5=45
Exploring Operation: 66-5=61, Resulting Numbers: [50, 61]
Generated Node #0,2,2: 55:[50, 61] Operation: 66-5=61
Exploring Operation: 50/5=10, Resulting Numbers: [66, 10]
Generated Node #0,2,3: 55:[66, 10] Operation: 50/5=10
Exploring Operation: 66-50=16, Resulting Numbers: [5, 16]
Generated Node #0,2,4: 55:[5, 16] Operation: 66-50=16
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 55:[5, 16], Operations: ['22-17=5', '66-50=16']
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,55 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 #0,2,0
Current State: 55:[66, 55], Operations: ['22-17=5', '50+5=55']
Exploring Operation: 66-55=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 66*55=3630, Resulting Numbers: [3630]
3630,55 unequal: No Solution
Exploring Operation: 66+55=121, Resulting Numbers: [121]
121,55 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 #0,2,2
Current State: 55:[50, 61], Operations: ['22-17=5', '66-5=61']
Exploring Operation: 50+61=111, Resulting Numbers: [111]
111,55 unequal: No Solution
Exploring Operation: 61-50=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 50*61=3050, Resulting Numbers: [3050]
3050,55 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 #0,2,3
Current State: 55:[66, 10], Operations: ['22-17=5', '50/5=10']
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,55 unequal: No Solution
Exploring Operation: 66*10=660, Resulting Numbers: [660]
660,55 unequal: No Solution
Exploring Operation: 66+10=76, Resulting Numbers: [76]
76,55 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 #0,2,1
Current State: 55:[66, 45], Operations: ['22-17=5', '50-5=45']
Exploring Operation: 66*45=2970, Resulting Numbers: [2970]
2970,55 unequal: No Solution
Exploring Operation: 66-45=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 66+45=111, Resulting Numbers: [111]
111,55 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: 55:[22, 17, 16], Operations: ['66-50=16']
Exploring Operation: 22-16=6, Resulting Numbers: [17, 6]
Generated Node #0,1,0: 55:[17, 6] Operation: 22-16=6
Exploring Operation: 17-16=1, Resulting Numbers: [22, 1]
Generated Node #0,1,1: 55:[22, 1] Operation: 17-16=1
Exploring Operation: 22-17=5, Resulting Numbers: [16, 5]
Generated Node #0,1,2: 55:[16, 5] Operation: 22-17=5
Exploring Operation: 22+16=38, Resulting Numbers: [17, 38]
Generated Node #0,1,3: 55:[17, 38] Operation: 22+16=38
Exploring Operation: 22+17=39, Resulting Numbers: [16, 39]
Generated Node #0,1,4: 55:[16, 39] Operation: 22+17=39
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 55:[16, 5], Operations: ['66-50=16', '22-17=5']
Exploring Operation: 16+5=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,55 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 #0,1,0
Current State: 55:[17, 6], Operations: ['66-50=16', '22-16=6']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 17*6=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 #0,1,1
Current State: 55:[22, 1], Operations: ['66-50=16', '17-16=1']
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,55 unequal: No Solution
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 22+1=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,55 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 #0,1,4
Current State: 55:[16, 39], Operations: ['66-50=16', '22+17=39']
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 16*39=624, Resulting Numbers: [624]
624,55 unequal: No Solution
Exploring Operation: 16+39=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[50, 22, 17, 66], Operations: []
Exploring Operation: 66-50=16, Resulting Numbers: [22, 17, 16]
Generated Node #0,1: 55:[22, 17, 16] Operation: 66-50=16
Moving to Node #0,1
Current State: 55:[22, 17, 16], Operations: ['66-50=16']
Exploring Operation: 22+17=39, Resulting Numbers: [16, 39]
Generated Node #0,1,4: 55:[16, 39] Operation: 22+17=39
Moving to Node #0,1,4
Current State: 55:[16, 39], Operations: ['66-50=16', '22+17=39']
Exploring Operation: 16+39=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.94184 | hs_5 | sum_heuristic |
[
32,
49,
53,
60
] | 88 | [
"32+49=81",
"60-53=7",
"81+7=88"
] | Current State: 88:[32, 49, 53, 60], Operations: []
Exploring Operation: 32+49=81, Resulting Numbers: [53, 60, 81]
Generated Node #2: [53, 60, 81] from Operation: 32+49=81
Current State: 88:[53, 60, 81], Operations: ['32+49=81']
Exploring Operation: 60-53=7, Resulting Numbers: [81, 7]
Generated Node #3: [81, 7] from Operation: 60-53=7
Current State: 88:[81, 7], Operations: ['32+49=81', '60-53=7']
Exploring Operation: 81+7=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[32, 49, 53, 60], Operations: []
Exploring Operation: 60-53=7, Resulting Numbers: [32, 49, 7]
Generated Node #0,0: 88:[32, 49, 7] Operation: 60-53=7
Exploring Operation: 32+60=92, Resulting Numbers: [49, 53, 92]
Generated Node #0,1: 88:[49, 53, 92] Operation: 32+60=92
Moving to Node #0,0
Current State: 88:[32, 49, 7], Operations: ['60-53=7']
Exploring Operation: 32+49=81, Resulting Numbers: [7, 81]
Generated Node #0,0,0: 88:[7, 81] Operation: 32+49=81
Exploring Operation: 49-32=17, Resulting Numbers: [7, 17]
Generated Node #0,0,1: 88:[7, 17] Operation: 49-32=17
Moving to Node #0,1
Current State: 88:[49, 53, 92], Operations: ['32+60=92']
Exploring Operation: 53-49=4, Resulting Numbers: [92, 4]
Generated Node #0,1,0: 88:[92, 4] Operation: 53-49=4
Exploring Operation: 92-49=43, Resulting Numbers: [53, 43]
Generated Node #0,1,1: 88:[53, 43] Operation: 92-49=43
Moving to Node #0,1,0
Current State: 88:[92, 4], Operations: ['32+60=92', '53-49=4']
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,88 unequal: No Solution
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[32, 49, 53, 60], Operations: []
Exploring Operation: 32+60=92, Resulting Numbers: [49, 53, 92]
Generated Node #0,1: 88:[49, 53, 92] Operation: 32+60=92
Moving to Node #0,1
Current State: 88:[49, 53, 92], Operations: ['32+60=92']
Exploring Operation: 53-49=4, Resulting Numbers: [92, 4]
Generated Node #0,1,0: 88:[92, 4] Operation: 53-49=4
Moving to Node #0,1,0
Current State: 88:[92, 4], Operations: ['32+60=92', '53-49=4']
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
93,
3,
65,
60
] | 34 | [
"93-60=33",
"3*33=99",
"99-65=34"
] | Current State: 34:[93, 3, 65, 60], Operations: []
Exploring Operation: 93-60=33, Resulting Numbers: [3, 65, 33]
Generated Node #2: [3, 65, 33] from Operation: 93-60=33
Current State: 34:[3, 65, 33], Operations: ['93-60=33']
Exploring Operation: 3*33=99, Resulting Numbers: [65, 99]
Generated Node #3: [65, 99] from Operation: 3*33=99
Current State: 34:[65, 99], Operations: ['93-60=33', '3*33=99']
Exploring Operation: 99-65=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[93, 3, 65, 60], Operations: []
Exploring Operation: 93-65=28, Resulting Numbers: [3, 60, 28]
Generated Node #0,0: 34:[3, 60, 28] Operation: 93-65=28
Moving to Node #0,0
Current State: 34:[3, 60, 28], Operations: ['93-65=28']
Exploring Operation: 60-28=32, Resulting Numbers: [3, 32]
Generated Node #0,0,0: 34:[3, 32] Operation: 60-28=32
Moving to Node #0,0,0
Current State: 34:[3, 32], Operations: ['93-65=28', '60-28=32']
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,34 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
79,
74,
63,
31
] | 10 | [
"79+31=110",
"74-63=11",
"110/11=10"
] | Current State: 10:[79, 74, 63, 31], Operations: []
Exploring Operation: 79+31=110, Resulting Numbers: [74, 63, 110]
Generated Node #2: [74, 63, 110] from Operation: 79+31=110
Current State: 10:[74, 63, 110], Operations: ['79+31=110']
Exploring Operation: 74-63=11, Resulting Numbers: [110, 11]
Generated Node #3: [110, 11] from Operation: 74-63=11
Current State: 10:[110, 11], Operations: ['79+31=110', '74-63=11']
Exploring Operation: 110/11=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[79, 74, 63, 31], Operations: []
Exploring Operation: 74-63=11, Resulting Numbers: [79, 31, 11]
Generated Node #0,0: 10:[79, 31, 11] Operation: 74-63=11
Exploring Operation: 79-74=5, Resulting Numbers: [63, 31, 5]
Generated Node #0,1: 10:[63, 31, 5] Operation: 79-74=5
Exploring Operation: 79-63=16, Resulting Numbers: [74, 31, 16]
Generated Node #0,2: 10:[74, 31, 16] Operation: 79-63=16
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[63, 31, 5], Operations: ['79-74=5']
Exploring Operation: 31-5=26, Resulting Numbers: [63, 26]
Generated Node #0,1,0: 10:[63, 26] Operation: 31-5=26
Exploring Operation: 63-5=58, Resulting Numbers: [31, 58]
Generated Node #0,1,1: 10:[31, 58] Operation: 63-5=58
Exploring Operation: 63-31=32, Resulting Numbers: [5, 32]
Generated Node #0,1,2: 10:[5, 32] Operation: 63-31=32
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 10:[5, 32], Operations: ['79-74=5', '63-31=32']
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,10 unequal: No Solution
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,10 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,10 unequal: No Solution
No 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: 10:[63, 26], Operations: ['79-74=5', '31-5=26']
Exploring Operation: 63+26=89, Resulting Numbers: [89]
89,10 unequal: No Solution
Exploring Operation: 63*26=1638, Resulting Numbers: [1638]
1638,10 unequal: No Solution
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,10 unequal: No Solution
No 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: 10:[31, 58], Operations: ['79-74=5', '63-5=58']
Exploring Operation: 31*58=1798, Resulting Numbers: [1798]
1798,10 unequal: No Solution
Exploring Operation: 31+58=89, Resulting Numbers: [89]
89,10 unequal: No Solution
Exploring Operation: 58-31=27, Resulting Numbers: [27]
27,10 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: 10:[79, 31, 11], Operations: ['74-63=11']
Exploring Operation: 79-31=48, Resulting Numbers: [11, 48]
Generated Node #0,0,0: 10:[11, 48] Operation: 79-31=48
Exploring Operation: 79-11=68, Resulting Numbers: [31, 68]
Generated Node #0,0,1: 10:[31, 68] Operation: 79-11=68
Exploring Operation: 31-11=20, Resulting Numbers: [79, 20]
Generated Node #0,0,2: 10:[79, 20] Operation: 31-11=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 10:[11, 48], Operations: ['74-63=11', '79-31=48']
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,10 unequal: No Solution
Exploring Operation: 11+48=59, Resulting Numbers: [59]
59,10 unequal: No Solution
Exploring Operation: 11*48=528, Resulting Numbers: [528]
528,10 unequal: No Solution
No 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: 10:[31, 68], Operations: ['74-63=11', '79-11=68']
Exploring Operation: 31*68=2108, Resulting Numbers: [2108]
2108,10 unequal: No Solution
Exploring Operation: 31+68=99, Resulting Numbers: [99]
99,10 unequal: No Solution
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,10 unequal: No Solution
No 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: 10:[79, 20], Operations: ['74-63=11', '31-11=20']
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,10 unequal: No Solution
Exploring Operation: 79+20=99, Resulting Numbers: [99]
99,10 unequal: No Solution
Exploring Operation: 79*20=1580, Resulting Numbers: [1580]
1580,10 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: 10:[74, 31, 16], Operations: ['79-63=16']
Exploring Operation: 31-16=15, Resulting Numbers: [74, 15]
Generated Node #0,2,0: 10:[74, 15] Operation: 31-16=15
Exploring Operation: 74-16=58, Resulting Numbers: [31, 58]
Generated Node #0,2,1: 10:[31, 58] Operation: 74-16=58
Exploring Operation: 74-31=43, Resulting Numbers: [16, 43]
Generated Node #0,2,2: 10:[16, 43] Operation: 74-31=43
Moving to Node #0,2,2
Current State: 10:[16, 43], Operations: ['79-63=16', '74-31=43']
Exploring Operation: 16+43=59, Resulting Numbers: [59]
59,10 unequal: No Solution
Exploring Operation: 16*43=688, Resulting Numbers: [688]
688,10 unequal: No Solution
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Moving to Node #0,2,0
Current State: 10:[74, 15], Operations: ['79-63=16', '31-16=15']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,10 unequal: No Solution
Exploring Operation: 74*15=1110, Resulting Numbers: [1110]
1110,10 unequal: No Solution
Exploring Operation: 74+15=89, Resulting Numbers: [89]
89,10 unequal: No Solution
Moving to Node #0,2,1
Current State: 10:[31, 58], Operations: ['79-63=16', '74-16=58']
Exploring Operation: 31+58=89, Resulting Numbers: [89]
89,10 unequal: No Solution
Exploring Operation: 58-31=27, Resulting Numbers: [27]
27,10 unequal: No Solution
Exploring Operation: 31*58=1798, Resulting Numbers: [1798]
1798,10 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 |
[
73,
19,
69,
80
] | 64 | [
"80-73=7",
"19*7=133",
"133-69=64"
] | Current State: 64:[73, 19, 69, 80], Operations: []
Exploring Operation: 80-73=7, Resulting Numbers: [19, 69, 7]
Generated Node #2: [19, 69, 7] from Operation: 80-73=7
Current State: 64:[19, 69, 7], Operations: ['80-73=7']
Exploring Operation: 19*7=133, Resulting Numbers: [69, 133]
Generated Node #3: [69, 133] from Operation: 19*7=133
Current State: 64:[69, 133], Operations: ['80-73=7', '19*7=133']
Exploring Operation: 133-69=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[73, 19, 69, 80], Operations: []
Exploring Operation: 80-73=7, Resulting Numbers: [19, 69, 7]
Generated Node #0,0: 64:[19, 69, 7] Operation: 80-73=7
Exploring Operation: 73-69=4, Resulting Numbers: [19, 80, 4]
Generated Node #0,1: 64:[19, 80, 4] Operation: 73-69=4
Exploring Operation: 80-69=11, Resulting Numbers: [73, 19, 11]
Generated Node #0,2: 64:[73, 19, 11] Operation: 80-69=11
Exploring Operation: 80-19=61, Resulting Numbers: [73, 69, 61]
Generated Node #0,3: 64:[73, 69, 61] Operation: 80-19=61
Moving to Node #0,0
Current State: 64:[19, 69, 7], Operations: ['80-73=7']
Exploring Operation: 19-7=12, Resulting Numbers: [69, 12]
Generated Node #0,0,0: 64:[69, 12] Operation: 19-7=12
Exploring Operation: 69-19=50, Resulting Numbers: [7, 50]
Generated Node #0,0,1: 64:[7, 50] Operation: 69-19=50
Exploring Operation: 19+7=26, Resulting Numbers: [69, 26]
Generated Node #0,0,2: 64:[69, 26] Operation: 19+7=26
Exploring Operation: 69-7=62, Resulting Numbers: [19, 62]
Generated Node #0,0,3: 64:[19, 62] Operation: 69-7=62
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 64:[19, 62], Operations: ['80-73=7', '69-7=62']
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Exploring Operation: 19+62=81, Resulting Numbers: [81]
81,64 unequal: No Solution
Exploring Operation: 19*62=1178, Resulting Numbers: [1178]
1178,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[69, 12], Operations: ['80-73=7', '19-7=12']
Exploring Operation: 69*12=828, Resulting Numbers: [828]
828,64 unequal: No Solution
Exploring Operation: 69+12=81, Resulting Numbers: [81]
81,64 unequal: No Solution
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 64:[69, 26], Operations: ['80-73=7', '19+7=26']
Exploring Operation: 69+26=95, Resulting Numbers: [95]
95,64 unequal: No Solution
Exploring Operation: 69*26=1794, Resulting Numbers: [1794]
1794,64 unequal: No Solution
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 64:[7, 50], Operations: ['80-73=7', '69-19=50']
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Exploring Operation: 7+50=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Exploring Operation: 7*50=350, Resulting Numbers: [350]
350,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 64:[73, 19, 11], Operations: ['80-69=11']
Exploring Operation: 19-11=8, Resulting Numbers: [73, 8]
Generated Node #0,2,0: 64:[73, 8] Operation: 19-11=8
Exploring Operation: 19+11=30, Resulting Numbers: [73, 30]
Generated Node #0,2,1: 64:[73, 30] Operation: 19+11=30
Exploring Operation: 73-11=62, Resulting Numbers: [19, 62]
Generated Node #0,2,2: 64:[19, 62] Operation: 73-11=62
Exploring Operation: 73-19=54, Resulting Numbers: [11, 54]
Generated Node #0,2,3: 64:[11, 54] Operation: 73-19=54
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 64:[19, 62], Operations: ['80-69=11', '73-11=62']
Exploring Operation: 19*62=1178, Resulting Numbers: [1178]
1178,64 unequal: No Solution
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Exploring Operation: 19+62=81, Resulting Numbers: [81]
81,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 64:[73, 8], Operations: ['80-69=11', '19-11=8']
Exploring Operation: 73*8=584, Resulting Numbers: [584]
584,64 unequal: No Solution
Exploring Operation: 73+8=81, Resulting Numbers: [81]
81,64 unequal: No Solution
Exploring Operation: 73-8=65, Resulting Numbers: [65]
65,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 64:[73, 30], Operations: ['80-69=11', '19+11=30']
Exploring Operation: 73+30=103, Resulting Numbers: [103]
103,64 unequal: No Solution
Exploring Operation: 73*30=2190, Resulting Numbers: [2190]
2190,64 unequal: No Solution
Exploring Operation: 73-30=43, Resulting Numbers: [43]
43,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 64:[11, 54], Operations: ['80-69=11', '73-19=54']
Exploring Operation: 54-11=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Exploring Operation: 11+54=65, Resulting Numbers: [65]
65,64 unequal: No Solution
Exploring Operation: 11*54=594, Resulting Numbers: [594]
594,64 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: 64:[73, 69, 61], Operations: ['80-19=61']
Exploring Operation: 69-61=8, Resulting Numbers: [73, 8]
Generated Node #0,3,0: 64:[73, 8] Operation: 69-61=8
Exploring Operation: 73-69=4, Resulting Numbers: [61, 4]
Generated Node #0,3,1: 64:[61, 4] Operation: 73-69=4
Exploring Operation: 73+61=134, Resulting Numbers: [69, 134]
Generated Node #0,3,2: 64:[69, 134] Operation: 73+61=134
Exploring Operation: 73-61=12, Resulting Numbers: [69, 12]
Generated Node #0,3,3: 64:[69, 12] Operation: 73-61=12
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 64:[61, 4], Operations: ['80-19=61', '73-69=4']
Exploring Operation: 61*4=244, Resulting Numbers: [244]
244,64 unequal: No Solution
Exploring Operation: 61+4=65, Resulting Numbers: [65]
65,64 unequal: No Solution
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 64:[73, 8], Operations: ['80-19=61', '69-61=8']
Exploring Operation: 73*8=584, Resulting Numbers: [584]
584,64 unequal: No Solution
Exploring Operation: 73-8=65, Resulting Numbers: [65]
65,64 unequal: No Solution
Exploring Operation: 73+8=81, Resulting Numbers: [81]
81,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 64:[69, 12], Operations: ['80-19=61', '73-61=12']
Exploring Operation: 69*12=828, Resulting Numbers: [828]
828,64 unequal: No Solution
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Exploring Operation: 69+12=81, Resulting Numbers: [81]
81,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 64:[69, 134], Operations: ['80-19=61', '73+61=134']
Exploring Operation: 69+134=203, Resulting Numbers: [203]
203,64 unequal: No Solution
Exploring Operation: 69*134=9246, Resulting Numbers: [9246]
9246,64 unequal: No Solution
Exploring Operation: 134-69=65, Resulting Numbers: [65]
65,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 64:[19, 80, 4], Operations: ['73-69=4']
Exploring Operation: 80-19=61, Resulting Numbers: [4, 61]
Generated Node #0,1,0: 64:[4, 61] Operation: 80-19=61
Exploring Operation: 19-4=15, Resulting Numbers: [80, 15]
Generated Node #0,1,1: 64:[80, 15] Operation: 19-4=15
Exploring Operation: 80/4=20, Resulting Numbers: [19, 20]
Generated Node #0,1,2: 64:[19, 20] Operation: 80/4=20
Exploring Operation: 80-4=76, Resulting Numbers: [19, 76]
Generated Node #0,1,3: 64:[19, 76] Operation: 80-4=76
Moving to Node #0,1,0
Current State: 64:[4, 61], Operations: ['73-69=4', '80-19=61']
Exploring Operation: 4*61=244, Resulting Numbers: [244]
244,64 unequal: No Solution
Exploring Operation: 4+61=65, Resulting Numbers: [65]
65,64 unequal: No Solution
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[19, 20], Operations: ['73-69=4', '80/4=20']
Exploring Operation: 19*20=380, Resulting Numbers: [380]
380,64 unequal: No Solution
Exploring Operation: 19+20=39, Resulting Numbers: [39]
39,64 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Moving to Node #0,1,3
Current State: 64:[19, 76], Operations: ['73-69=4', '80-4=76']
Exploring Operation: 76/19=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 19*76=1444, Resulting Numbers: [1444]
1444,64 unequal: No Solution
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,64 unequal: No Solution
Exploring Operation: 19+76=95, Resulting Numbers: [95]
95,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[80, 15], Operations: ['73-69=4', '19-4=15']
Exploring Operation: 80+15=95, Resulting Numbers: [95]
95,64 unequal: No Solution
Exploring Operation: 80-15=65, Resulting Numbers: [65]
65,64 unequal: No Solution
Exploring Operation: 80*15=1200, Resulting Numbers: [1200]
1200,64 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
6,
14,
39,
10
] | 51 | [
"39*10=390",
"390/6=65",
"65-14=51"
] | Current State: 51:[6, 14, 39, 10], Operations: []
Exploring Operation: 39*10=390, Resulting Numbers: [6, 14, 390]
Generated Node #2: [6, 14, 390] from Operation: 39*10=390
Current State: 51:[6, 14, 390], Operations: ['39*10=390']
Exploring Operation: 390/6=65, Resulting Numbers: [14, 65]
Generated Node #3: [14, 65] from Operation: 390/6=65
Current State: 51:[14, 65], Operations: ['39*10=390', '390/6=65']
Exploring Operation: 65-14=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[6, 14, 39, 10], Operations: []
Exploring Operation: 10-6=4, Resulting Numbers: [14, 39, 4]
Generated Node #0,0: 51:[14, 39, 4] Operation: 10-6=4
Exploring Operation: 6+10=16, Resulting Numbers: [14, 39, 16]
Generated Node #0,1: 51:[14, 39, 16] Operation: 6+10=16
Exploring Operation: 6+39=45, Resulting Numbers: [14, 10, 45]
Generated Node #0,2: 51:[14, 10, 45] Operation: 6+39=45
Exploring Operation: 39+10=49, Resulting Numbers: [6, 14, 49]
Generated Node #0,3: 51:[6, 14, 49] Operation: 39+10=49
Exploring Operation: 14+39=53, Resulting Numbers: [6, 10, 53]
Generated Node #0,4: 51:[6, 10, 53] Operation: 14+39=53
Moving to Node #0,3
Current State: 51:[6, 14, 49], Operations: ['39+10=49']
Exploring Operation: 6+14=20, Resulting Numbers: [49, 20]
Generated Node #0,3,0: 51:[49, 20] Operation: 6+14=20
Exploring Operation: 14+49=63, Resulting Numbers: [6, 63]
Generated Node #0,3,1: 51:[6, 63] Operation: 14+49=63
Exploring Operation: 49-6=43, Resulting Numbers: [14, 43]
Generated Node #0,3,2: 51:[14, 43] Operation: 49-6=43
Exploring Operation: 6+49=55, Resulting Numbers: [14, 55]
Generated Node #0,3,3: 51:[14, 55] Operation: 6+49=55
Exploring Operation: 14-6=8, Resulting Numbers: [49, 8]
Generated Node #0,3,4: 51:[49, 8] Operation: 14-6=8
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 51:[49, 20], Operations: ['39+10=49', '6+14=20']
Exploring Operation: 49+20=69, Resulting Numbers: [69]
69,51 unequal: No Solution
Exploring Operation: 49*20=980, Resulting Numbers: [980]
980,51 unequal: No Solution
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 51:[14, 55], Operations: ['39+10=49', '6+49=55']
Exploring Operation: 14+55=69, Resulting Numbers: [69]
69,51 unequal: No Solution
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,51 unequal: No Solution
Exploring Operation: 14*55=770, Resulting Numbers: [770]
770,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 51:[49, 8], Operations: ['39+10=49', '14-6=8']
Exploring Operation: 49*8=392, Resulting Numbers: [392]
392,51 unequal: No Solution
Exploring Operation: 49+8=57, Resulting Numbers: [57]
57,51 unequal: No Solution
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 51:[14, 43], Operations: ['39+10=49', '49-6=43']
Exploring Operation: 14+43=57, Resulting Numbers: [57]
57,51 unequal: No Solution
Exploring Operation: 14*43=602, Resulting Numbers: [602]
602,51 unequal: No Solution
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 51:[6, 63], Operations: ['39+10=49', '14+49=63']
Exploring Operation: 6+63=69, Resulting Numbers: [69]
69,51 unequal: No Solution
Exploring Operation: 6*63=378, Resulting Numbers: [378]
378,51 unequal: No Solution
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,51 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: 51:[6, 10, 53], Operations: ['14+39=53']
Exploring Operation: 6+10=16, Resulting Numbers: [53, 16]
Generated Node #0,4,0: 51:[53, 16] Operation: 6+10=16
Exploring Operation: 53-10=43, Resulting Numbers: [6, 43]
Generated Node #0,4,1: 51:[6, 43] Operation: 53-10=43
Exploring Operation: 6*10=60, Resulting Numbers: [53, 60]
Generated Node #0,4,2: 51:[53, 60] Operation: 6*10=60
Exploring Operation: 10-6=4, Resulting Numbers: [53, 4]
Generated Node #0,4,3: 51:[53, 4] Operation: 10-6=4
Exploring Operation: 53-6=47, Resulting Numbers: [10, 47]
Generated Node #0,4,4: 51:[10, 47] Operation: 53-6=47
Moving to Node #0,0
Current State: 51:[14, 39, 4], Operations: ['10-6=4']
Exploring Operation: 14*4=56, Resulting Numbers: [39, 56]
Generated Node #0,0,0: 51:[39, 56] Operation: 14*4=56
Exploring Operation: 39+4=43, Resulting Numbers: [14, 43]
Generated Node #0,0,1: 51:[14, 43] Operation: 39+4=43
Exploring Operation: 14+4=18, Resulting Numbers: [39, 18]
Generated Node #0,0,2: 51:[39, 18] Operation: 14+4=18
Exploring Operation: 14+39=53, Resulting Numbers: [4, 53]
Generated Node #0,0,3: 51:[4, 53] Operation: 14+39=53
Exploring Operation: 39-14=25, Resulting Numbers: [4, 25]
Generated Node #0,0,4: 51:[4, 25] Operation: 39-14=25
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 51:[4, 53], Operations: ['10-6=4', '14+39=53']
Exploring Operation: 4*53=212, Resulting Numbers: [212]
212,51 unequal: No Solution
Exploring Operation: 4+53=57, Resulting Numbers: [57]
57,51 unequal: No Solution
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 51:[4, 25], Operations: ['10-6=4', '39-14=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,51 unequal: No Solution
Exploring Operation: 4+25=29, Resulting Numbers: [29]
29,51 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 51:[14, 43], Operations: ['10-6=4', '39+4=43']
Exploring Operation: 14*43=602, Resulting Numbers: [602]
602,51 unequal: No Solution
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,51 unequal: No Solution
Exploring Operation: 14+43=57, Resulting Numbers: [57]
57,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 51:[39, 18], Operations: ['10-6=4', '14+4=18']
Exploring Operation: 39+18=57, Resulting Numbers: [57]
57,51 unequal: No Solution
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,51 unequal: No Solution
Exploring Operation: 39*18=702, Resulting Numbers: [702]
702,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[39, 56], Operations: ['10-6=4', '14*4=56']
Exploring Operation: 39+56=95, Resulting Numbers: [95]
95,51 unequal: No Solution
Exploring Operation: 39*56=2184, Resulting Numbers: [2184]
2184,51 unequal: No Solution
Exploring Operation: 56-39=17, Resulting Numbers: [17]
17,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 51:[14, 39, 16], Operations: ['6+10=16']
Exploring Operation: 39-16=23, Resulting Numbers: [14, 23]
Generated Node #0,1,0: 51:[14, 23] Operation: 39-16=23
Exploring Operation: 39-14=25, Resulting Numbers: [16, 25]
Generated Node #0,1,1: 51:[16, 25] Operation: 39-14=25
Exploring Operation: 14+39=53, Resulting Numbers: [16, 53]
Generated Node #0,1,2: 51:[16, 53] Operation: 14+39=53
Exploring Operation: 39+16=55, Resulting Numbers: [14, 55]
Generated Node #0,1,3: 51:[14, 55] Operation: 39+16=55
Exploring Operation: 16-14=2, Resulting Numbers: [39, 2]
Generated Node #0,1,4: 51:[39, 2] Operation: 16-14=2
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 51:[16, 53], Operations: ['6+10=16', '14+39=53']
Exploring Operation: 16*53=848, Resulting Numbers: [848]
848,51 unequal: No Solution
Exploring Operation: 16+53=69, Resulting Numbers: [69]
69,51 unequal: No Solution
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 51:[14, 55], Operations: ['6+10=16', '39+16=55']
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,51 unequal: No Solution
Exploring Operation: 14*55=770, Resulting Numbers: [770]
770,51 unequal: No Solution
Exploring Operation: 14+55=69, Resulting Numbers: [69]
69,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 51:[14, 23], Operations: ['6+10=16', '39-16=23']
Exploring Operation: 14+23=37, Resulting Numbers: [37]
37,51 unequal: No Solution
Exploring Operation: 14*23=322, Resulting Numbers: [322]
322,51 unequal: No Solution
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 51:[16, 25], Operations: ['6+10=16', '39-14=25']
Exploring Operation: 16+25=41, Resulting Numbers: [41]
41,51 unequal: No Solution
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 16*25=400, Resulting Numbers: [400]
400,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 51:[39, 2], Operations: ['6+10=16', '16-14=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,51 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,51 unequal: No Solution
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 51:[14, 10, 45], Operations: ['6+39=45']
Exploring Operation: 14-10=4, Resulting Numbers: [45, 4]
Generated Node #0,2,0: 51:[45, 4] Operation: 14-10=4
Exploring Operation: 45-10=35, Resulting Numbers: [14, 35]
Generated Node #0,2,1: 51:[14, 35] Operation: 45-10=35
Exploring Operation: 14+45=59, Resulting Numbers: [10, 59]
Generated Node #0,2,2: 51:[10, 59] Operation: 14+45=59
Exploring Operation: 14+10=24, Resulting Numbers: [45, 24]
Generated Node #0,2,3: 51:[45, 24] Operation: 14+10=24
Exploring Operation: 10+45=55, Resulting Numbers: [14, 55]
Generated Node #0,2,4: 51:[14, 55] Operation: 10+45=55
Moving to Node #0,4,0
Current State: 51:[53, 16], Operations: ['14+39=53', '6+10=16']
Exploring Operation: 53*16=848, Resulting Numbers: [848]
848,51 unequal: No Solution
Exploring Operation: 53+16=69, Resulting Numbers: [69]
69,51 unequal: No Solution
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,51 unequal: No Solution
Moving to Node #0,4,3
Current State: 51:[53, 4], Operations: ['14+39=53', '10-6=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,51 unequal: No Solution
Exploring Operation: 53*4=212, Resulting Numbers: [212]
212,51 unequal: No Solution
Exploring Operation: 53+4=57, Resulting Numbers: [57]
57,51 unequal: No Solution
Moving to Node #0,2,0
Current State: 51:[45, 4], Operations: ['6+39=45', '14-10=4']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,51 unequal: No Solution
Exploring Operation: 45*4=180, Resulting Numbers: [180]
180,51 unequal: No Solution
Exploring Operation: 45+4=49, Resulting Numbers: [49]
49,51 unequal: No Solution
Moving to Node #0,2,4
Current State: 51:[14, 55], Operations: ['6+39=45', '10+45=55']
Exploring Operation: 14*55=770, Resulting Numbers: [770]
770,51 unequal: No Solution
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,51 unequal: No Solution
Exploring Operation: 14+55=69, Resulting Numbers: [69]
69,51 unequal: No Solution
Moving to Node #0,4,1
Current State: 51:[6, 43], Operations: ['14+39=53', '53-10=43']
Exploring Operation: 6+43=49, Resulting Numbers: [49]
49,51 unequal: No Solution
Exploring Operation: 6*43=258, Resulting Numbers: [258]
258,51 unequal: No Solution
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,51 unequal: No Solution
Moving to Node #0,4,4
Current State: 51:[10, 47], Operations: ['14+39=53', '53-6=47']
Exploring Operation: 47-10=37, Resulting Numbers: [37]
37,51 unequal: No Solution
Exploring Operation: 10*47=470, Resulting Numbers: [470]
470,51 unequal: No Solution
Exploring Operation: 10+47=57, Resulting Numbers: [57]
57,51 unequal: No Solution
Moving to Node #0,4,2
Current State: 51:[53, 60], Operations: ['14+39=53', '6*10=60']
Exploring Operation: 53+60=113, Resulting Numbers: [113]
113,51 unequal: No Solution
Exploring Operation: 53*60=3180, Resulting Numbers: [3180]
3180,51 unequal: No Solution
Exploring Operation: 60-53=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Moving to Node #0,2,3
Current State: 51:[45, 24], Operations: ['6+39=45', '14+10=24']
Exploring Operation: 45-24=21, Resulting Numbers: [21]
21,51 unequal: No Solution
Exploring Operation: 45*24=1080, Resulting Numbers: [1080]
1080,51 unequal: No Solution
Exploring Operation: 45+24=69, Resulting Numbers: [69]
69,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[10, 59], Operations: ['6+39=45', '14+45=59']
Exploring Operation: 10+59=69, Resulting Numbers: [69]
69,51 unequal: No Solution
Exploring Operation: 59-10=49, Resulting Numbers: [49]
49,51 unequal: No Solution
Exploring Operation: 10*59=590, Resulting Numbers: [590]
590,51 unequal: No Solution
Moving to Node #0,2,1
Current State: 51:[14, 35], Operations: ['6+39=45', '45-10=35']
Exploring Operation: 14*35=490, Resulting Numbers: [490]
490,51 unequal: No Solution
Exploring Operation: 14+35=49, Resulting Numbers: [49]
49,51 unequal: No Solution
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,51 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
26,
36,
8,
38
] | 54 | [
"38-26=12",
"36*12=432",
"432/8=54"
] | Current State: 54:[26, 36, 8, 38], Operations: []
Exploring Operation: 38-26=12, Resulting Numbers: [36, 8, 12]
Generated Node #2: [36, 8, 12] from Operation: 38-26=12
Current State: 54:[36, 8, 12], Operations: ['38-26=12']
Exploring Operation: 36*12=432, Resulting Numbers: [8, 432]
Generated Node #3: [8, 432] from Operation: 36*12=432
Current State: 54:[8, 432], Operations: ['38-26=12', '36*12=432']
Exploring Operation: 432/8=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[26, 36, 8, 38], Operations: []
Exploring Operation: 36-8=28, Resulting Numbers: [26, 38, 28]
Generated Node #0,0: 54:[26, 38, 28] Operation: 36-8=28
Exploring Operation: 38-26=12, Resulting Numbers: [36, 8, 12]
Generated Node #0,1: 54:[36, 8, 12] Operation: 38-26=12
Exploring Operation: 36-26=10, Resulting Numbers: [8, 38, 10]
Generated Node #0,2: 54:[8, 38, 10] Operation: 36-26=10
Exploring Operation: 38-36=2, Resulting Numbers: [26, 8, 2]
Generated Node #0,3: 54:[26, 8, 2] Operation: 38-36=2
Moving to Node #0,3
Current State: 54:[26, 8, 2], Operations: ['38-36=2']
Exploring Operation: 8-2=6, Resulting Numbers: [26, 6]
Generated Node #0,3,0: 54:[26, 6] Operation: 8-2=6
Exploring Operation: 8+2=10, Resulting Numbers: [26, 10]
Generated Node #0,3,1: 54:[26, 10] Operation: 8+2=10
Exploring Operation: 26-8=18, Resulting Numbers: [2, 18]
Generated Node #0,3,2: 54:[2, 18] Operation: 26-8=18
Exploring Operation: 26+2=28, Resulting Numbers: [8, 28]
Generated Node #0,3,3: 54:[8, 28] Operation: 26+2=28
Moving to Node #0,1
Current State: 54:[36, 8, 12], Operations: ['38-26=12']
Exploring Operation: 36+12=48, Resulting Numbers: [8, 48]
Generated Node #0,1,0: 54:[8, 48] Operation: 36+12=48
Exploring Operation: 36/12=3, Resulting Numbers: [8, 3]
Generated Node #0,1,1: 54:[8, 3] Operation: 36/12=3
Exploring Operation: 36-8=28, Resulting Numbers: [12, 28]
Generated Node #0,1,2: 54:[12, 28] Operation: 36-8=28
Exploring Operation: 36-12=24, Resulting Numbers: [8, 24]
Generated Node #0,1,3: 54:[8, 24] Operation: 36-12=24
Moving to Node #0,0
Current State: 54:[26, 38, 28], Operations: ['36-8=28']
Exploring Operation: 26+28=54, Resulting Numbers: [38, 54]
Generated Node #0,0,0: 54:[38, 54] Operation: 26+28=54
Exploring Operation: 26+38=64, Resulting Numbers: [28, 64]
Generated Node #0,0,1: 54:[28, 64] Operation: 26+38=64
Exploring Operation: 38-28=10, Resulting Numbers: [26, 10]
Generated Node #0,0,2: 54:[26, 10] Operation: 38-28=10
Exploring Operation: 38-26=12, Resulting Numbers: [28, 12]
Generated Node #0,0,3: 54:[28, 12] Operation: 38-26=12
Moving to Node #0,2
Current State: 54:[8, 38, 10], Operations: ['36-26=10']
Exploring Operation: 38-8=30, Resulting Numbers: [10, 30]
Generated Node #0,2,0: 54:[10, 30] Operation: 38-8=30
Exploring Operation: 8+38=46, Resulting Numbers: [10, 46]
Generated Node #0,2,1: 54:[10, 46] Operation: 8+38=46
Exploring Operation: 38-10=28, Resulting Numbers: [8, 28]
Generated Node #0,2,2: 54:[8, 28] Operation: 38-10=28
Exploring Operation: 38+10=48, Resulting Numbers: [8, 48]
Generated Node #0,2,3: 54:[8, 48] Operation: 38+10=48
Moving to Node #0,3,2
Current State: 54:[2, 18], Operations: ['38-36=2', '26-8=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,54 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,54 unequal: No Solution
Moving to Node #0,3,0
Current State: 54:[26, 6], Operations: ['38-36=2', '8-2=6']
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,54 unequal: No Solution
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,54 unequal: No Solution
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Moving to Node #0,1,1
Current State: 54:[8, 3], Operations: ['38-26=12', '36/12=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,54 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,54 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,54 unequal: No Solution
Moving to Node #0,3,1
Current State: 54:[26, 10], Operations: ['38-36=2', '8+2=10']
Exploring Operation: 26+10=36, Resulting Numbers: [36]
36,54 unequal: No Solution
Exploring Operation: 26*10=260, Resulting Numbers: [260]
260,54 unequal: No Solution
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Moving to Node #0,2,2
Current State: 54:[8, 28], Operations: ['36-26=10', '38-10=28']
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,54 unequal: No Solution
Exploring Operation: 8*28=224, Resulting Numbers: [224]
224,54 unequal: No Solution
Moving to Node #0,3,3
Current State: 54:[8, 28], Operations: ['38-36=2', '26+2=28']
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Exploring Operation: 8*28=224, Resulting Numbers: [224]
224,54 unequal: No Solution
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,54 unequal: No Solution
Moving to Node #0,0,2
Current State: 54:[26, 10], Operations: ['36-8=28', '38-28=10']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Exploring Operation: 26+10=36, Resulting Numbers: [36]
36,54 unequal: No Solution
Exploring Operation: 26*10=260, Resulting Numbers: [260]
260,54 unequal: No Solution
Moving to Node #0,1,3
Current State: 54:[8, 24], Operations: ['38-26=12', '36-12=24']
Exploring Operation: 8*24=192, Resulting Numbers: [192]
192,54 unequal: No Solution
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 8+24=32, Resulting Numbers: [32]
32,54 unequal: No Solution
Moving to Node #0,2,0
Current State: 54:[10, 30], Operations: ['36-26=10', '38-8=30']
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Exploring Operation: 10*30=300, Resulting Numbers: [300]
300,54 unequal: No Solution
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 10+30=40, Resulting Numbers: [40]
40,54 unequal: No Solution
Moving to Node #0,1,2
Current State: 54:[12, 28], Operations: ['38-26=12', '36-8=28']
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Exploring Operation: 12+28=40, Resulting Numbers: [40]
40,54 unequal: No Solution
Exploring Operation: 12*28=336, Resulting Numbers: [336]
336,54 unequal: No Solution
Moving to Node #0,0,3
Current State: 54:[28, 12], Operations: ['36-8=28', '38-26=12']
Exploring Operation: 28+12=40, Resulting Numbers: [40]
40,54 unequal: No Solution
Exploring Operation: 28*12=336, Resulting Numbers: [336]
336,54 unequal: No Solution
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Moving to Node #0,1,0
Current State: 54:[8, 48], Operations: ['38-26=12', '36+12=48']
Exploring Operation: 8+48=56, Resulting Numbers: [56]
56,54 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,54 unequal: No Solution
Exploring Operation: 8*48=384, Resulting Numbers: [384]
384,54 unequal: No Solution
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Moving to Node #0,2,3
Current State: 54:[8, 48], Operations: ['36-26=10', '38+10=48']
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Exploring Operation: 8*48=384, Resulting Numbers: [384]
384,54 unequal: No Solution
Exploring Operation: 8+48=56, Resulting Numbers: [56]
56,54 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,54 unequal: No Solution
Moving to Node #0,2,1
Current State: 54:[10, 46], Operations: ['36-26=10', '8+38=46']
Exploring Operation: 10+46=56, Resulting Numbers: [56]
56,54 unequal: No Solution
Exploring Operation: 10*46=460, Resulting Numbers: [460]
460,54 unequal: No Solution
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[38, 54], Operations: ['36-8=28', '26+28=54']
Exploring Operation: 38+54=92, Resulting Numbers: [92]
92,54 unequal: No Solution
Exploring Operation: 38*54=2052, Resulting Numbers: [2052]
2052,54 unequal: No Solution
Exploring Operation: 54-38=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Moving to Node #0,0,1
Current State: 54:[28, 64], Operations: ['36-8=28', '26+38=64']
Exploring Operation: 28+64=92, Resulting Numbers: [92]
92,54 unequal: No Solution
Exploring Operation: 28*64=1792, Resulting Numbers: [1792]
1792,54 unequal: No Solution
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,54 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
37,
17,
5,
8
] | 41 | [
"37+17=54",
"5+8=13",
"54-13=41"
] | Current State: 41:[37, 17, 5, 8], Operations: []
Exploring Operation: 37+17=54, Resulting Numbers: [5, 8, 54]
Generated Node #2: [5, 8, 54] from Operation: 37+17=54
Current State: 41:[5, 8, 54], Operations: ['37+17=54']
Exploring Operation: 5+8=13, Resulting Numbers: [54, 13]
Generated Node #3: [54, 13] from Operation: 5+8=13
Current State: 41:[54, 13], Operations: ['37+17=54', '5+8=13']
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[37, 17, 5, 8], Operations: []
Exploring Operation: 5*8=40, Resulting Numbers: [37, 17, 40]
Generated Node #0,0: 41:[37, 17, 40] Operation: 5*8=40
Moving to Node #0,0
Current State: 41:[37, 17, 40], Operations: ['5*8=40']
Exploring Operation: 37+17=54, Resulting Numbers: [40, 54]
Generated Node #0,0,0: 41:[40, 54] Operation: 37+17=54
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[40, 54], Operations: ['5*8=40', '37+17=54']
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
16,
14,
85,
32
] | 57 | [
"32/16=2",
"14*2=28",
"85-28=57"
] | Current State: 57:[16, 14, 85, 32], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [14, 85, 2]
Generated Node #2: [14, 85, 2] from Operation: 32/16=2
Current State: 57:[14, 85, 2], Operations: ['32/16=2']
Exploring Operation: 14*2=28, Resulting Numbers: [85, 28]
Generated Node #3: [85, 28] from Operation: 14*2=28
Current State: 57:[85, 28], Operations: ['32/16=2', '14*2=28']
Exploring Operation: 85-28=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[16, 14, 85, 32], Operations: []
Exploring Operation: 85-16=69, Resulting Numbers: [14, 32, 69]
Generated Node #0,0: 57:[14, 32, 69] Operation: 85-16=69
Exploring Operation: 85-32=53, Resulting Numbers: [16, 14, 53]
Generated Node #0,1: 57:[16, 14, 53] Operation: 85-32=53
Moving to Node #0,1
Current State: 57:[16, 14, 53], Operations: ['85-32=53']
Exploring Operation: 14+53=67, Resulting Numbers: [16, 67]
Generated Node #0,1,0: 57:[16, 67] Operation: 14+53=67
Exploring Operation: 16-14=2, Resulting Numbers: [53, 2]
Generated Node #0,1,1: 57:[53, 2] Operation: 16-14=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 57:[53, 2], Operations: ['85-32=53', '16-14=2']
Exploring Operation: 53+2=55, Resulting Numbers: [55]
55,57 unequal: No Solution
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 57:[16, 67], Operations: ['85-32=53', '14+53=67']
Exploring Operation: 16+67=83, Resulting Numbers: [83]
83,57 unequal: No Solution
Exploring Operation: 67-16=51, Resulting Numbers: [51]
51,57 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: 57:[14, 32, 69], Operations: ['85-16=69']
Exploring Operation: 32-14=18, Resulting Numbers: [69, 18]
Generated Node #0,0,0: 57:[69, 18] Operation: 32-14=18
Exploring Operation: 69-14=55, Resulting Numbers: [32, 55]
Generated Node #0,0,1: 57:[32, 55] Operation: 69-14=55
Moving to Node #0,0,0
Current State: 57:[69, 18], Operations: ['85-16=69', '32-14=18']
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,57 unequal: No Solution
Exploring Operation: 69+18=87, Resulting Numbers: [87]
87,57 unequal: No Solution
Moving to Node #0,0,1
Current State: 57:[32, 55], Operations: ['85-16=69', '69-14=55']
Exploring Operation: 32+55=87, Resulting Numbers: [87]
87,57 unequal: No Solution
Exploring Operation: 55-32=23, Resulting Numbers: [23]
23,57 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
52,
34,
23,
8
] | 55 | [
"52+34=86",
"23+8=31",
"86-31=55"
] | Current State: 55:[52, 34, 23, 8], Operations: []
Exploring Operation: 52+34=86, Resulting Numbers: [23, 8, 86]
Generated Node #2: [23, 8, 86] from Operation: 52+34=86
Current State: 55:[23, 8, 86], Operations: ['52+34=86']
Exploring Operation: 23+8=31, Resulting Numbers: [86, 31]
Generated Node #3: [86, 31] from Operation: 23+8=31
Current State: 55:[86, 31], Operations: ['52+34=86', '23+8=31']
Exploring Operation: 86-31=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[52, 34, 23, 8], Operations: []
Exploring Operation: 34-23=11, Resulting Numbers: [52, 8, 11]
Generated Node #0,0: 55:[52, 8, 11] Operation: 34-23=11
Exploring Operation: 52-34=18, Resulting Numbers: [23, 8, 18]
Generated Node #0,1: 55:[23, 8, 18] Operation: 52-34=18
Exploring Operation: 34+23=57, Resulting Numbers: [52, 8, 57]
Generated Node #0,2: 55:[52, 8, 57] Operation: 34+23=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[52, 8, 11], Operations: ['34-23=11']
Exploring Operation: 52+8=60, Resulting Numbers: [11, 60]
Generated Node #0,0,0: 55:[11, 60] Operation: 52+8=60
Exploring Operation: 11-8=3, Resulting Numbers: [52, 3]
Generated Node #0,0,1: 55:[52, 3] Operation: 11-8=3
Exploring Operation: 52-8=44, Resulting Numbers: [11, 44]
Generated Node #0,0,2: 55:[11, 44] Operation: 52-8=44
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 55:[11, 60], Operations: ['34-23=11', '52+8=60']
Exploring Operation: 60-11=49, Resulting Numbers: [49]
49,55 unequal: No Solution
Exploring Operation: 11*60=660, Resulting Numbers: [660]
660,55 unequal: No Solution
Exploring Operation: 11+60=71, Resulting Numbers: [71]
71,55 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:[52, 3], Operations: ['34-23=11', '11-8=3']
Exploring Operation: 52+3=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[52, 34, 23, 8], Operations: []
Exploring Operation: 34-23=11, Resulting Numbers: [52, 8, 11]
Generated Node #0,0: 55:[52, 8, 11] Operation: 34-23=11
Moving to Node #0,0
Current State: 55:[52, 8, 11], Operations: ['34-23=11']
Exploring Operation: 11-8=3, Resulting Numbers: [52, 3]
Generated Node #0,0,1: 55:[52, 3] Operation: 11-8=3
Moving to Node #0,0,1
Current State: 55:[52, 3], Operations: ['34-23=11', '11-8=3']
Exploring Operation: 52+3=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
78,
89,
90,
89
] | 78 | [
"89-89=0",
"90*0=0",
"78+0=78"
] | Current State: 78:[78, 89, 90, 89], Operations: []
Exploring Operation: 89-89=0, Resulting Numbers: [78, 90, 0]
Generated Node #2: [78, 90, 0] from Operation: 89-89=0
Current State: 78:[78, 90, 0], Operations: ['89-89=0']
Exploring Operation: 90*0=0, Resulting Numbers: [78, 0]
Generated Node #3: [78, 0] from Operation: 90*0=0
Current State: 78:[78, 0], Operations: ['89-89=0', '90*0=0']
Exploring Operation: 78+0=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[78, 89, 90, 89], Operations: []
Exploring Operation: 90-89=1, Resulting Numbers: [78, 89, 1]
Generated Node #0,0: 78:[78, 89, 1] Operation: 90-89=1
Exploring Operation: 89/89=1, Resulting Numbers: [78, 90, 1]
Generated Node #0,1: 78:[78, 90, 1] Operation: 89/89=1
Exploring Operation: 89-89=0, Resulting Numbers: [78, 90, 0]
Generated Node #0,2: 78:[78, 90, 0] Operation: 89-89=0
Exploring Operation: 90-89=1, Resulting Numbers: [78, 89, 1]
Generated Node #0,3: 78:[78, 89, 1] Operation: 90-89=1
Moving to Node #0,0
Current State: 78:[78, 89, 1], Operations: ['90-89=1']
Exploring Operation: 78/1=78, Resulting Numbers: [89, 78]
Generated Node #0,0,0: 78:[89, 78] Operation: 78/1=78
Exploring Operation: 78*1=78, Resulting Numbers: [89, 78]
Generated Node #0,0,1: 78:[89, 78] Operation: 78*1=78
Exploring Operation: 89-1=88, Resulting Numbers: [78, 88]
Generated Node #0,0,2: 78:[78, 88] Operation: 89-1=88
Exploring Operation: 89-78=11, Resulting Numbers: [1, 11]
Generated Node #0,0,3: 78:[1, 11] Operation: 89-78=11
Moving to Node #0,3
Current State: 78:[78, 89, 1], Operations: ['90-89=1']
Exploring Operation: 78/1=78, Resulting Numbers: [89, 78]
Generated Node #0,3,0: 78:[89, 78] Operation: 78/1=78
Exploring Operation: 89-1=88, Resulting Numbers: [78, 88]
Generated Node #0,3,1: 78:[78, 88] Operation: 89-1=88
Exploring Operation: 78*1=78, Resulting Numbers: [89, 78]
Generated Node #0,3,2: 78:[89, 78] Operation: 78*1=78
Exploring Operation: 89-78=11, Resulting Numbers: [1, 11]
Generated Node #0,3,3: 78:[1, 11] Operation: 89-78=11
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 78:[1, 11], Operations: ['90-89=1', '89-78=11']
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,78 unequal: No Solution
Exploring Operation: 1+11=12, Resulting Numbers: [12]
12,78 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,78 unequal: No Solution
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 78:[78, 88], Operations: ['90-89=1', '89-1=88']
Exploring Operation: 78+88=166, Resulting Numbers: [166]
166,78 unequal: No Solution
Exploring Operation: 78*88=6864, Resulting Numbers: [6864]
6864,78 unequal: No Solution
Exploring Operation: 88-78=10, Resulting Numbers: [10]
10,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 78:[89, 78], Operations: ['90-89=1', '78/1=78']
Exploring Operation: 89-78=11, Resulting Numbers: [11]
11,78 unequal: No Solution
Exploring Operation: 89*78=6942, Resulting Numbers: [6942]
6942,78 unequal: No Solution
Exploring Operation: 89+78=167, Resulting Numbers: [167]
167,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 78:[89, 78], Operations: ['90-89=1', '78*1=78']
Exploring Operation: 89+78=167, Resulting Numbers: [167]
167,78 unequal: No Solution
Exploring Operation: 89*78=6942, Resulting Numbers: [6942]
6942,78 unequal: No Solution
Exploring Operation: 89-78=11, Resulting Numbers: [11]
11,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 78:[78, 90, 1], Operations: ['89/89=1']
Exploring Operation: 90-1=89, Resulting Numbers: [78, 89]
Generated Node #0,1,0: 78:[78, 89] Operation: 90-1=89
Exploring Operation: 78/1=78, Resulting Numbers: [90, 78]
Generated Node #0,1,1: 78:[90, 78] Operation: 78/1=78
Exploring Operation: 90-78=12, Resulting Numbers: [1, 12]
Generated Node #0,1,2: 78:[1, 12] Operation: 90-78=12
Exploring Operation: 78*1=78, Resulting Numbers: [90, 78]
Generated Node #0,1,3: 78:[90, 78] Operation: 78*1=78
Moving to Node #0,2
Current State: 78:[78, 90, 0], Operations: ['89-89=0']
Exploring Operation: 78-0=78, Resulting Numbers: [90, 78]
Generated Node #0,2,0: 78:[90, 78] Operation: 78-0=78
Exploring Operation: 90*0=0, Resulting Numbers: [78, 0]
Generated Node #0,2,1: 78:[78, 0] Operation: 90*0=0
Exploring Operation: 90-78=12, Resulting Numbers: [0, 12]
Generated Node #0,2,2: 78:[0, 12] Operation: 90-78=12
Exploring Operation: 78+0=78, Resulting Numbers: [90, 78]
Generated Node #0,2,3: 78:[90, 78] Operation: 78+0=78
Moving to Node #0,1,2
Current State: 78:[1, 12], Operations: ['89/89=1', '90-78=12']
Exploring Operation: 1+12=13, Resulting Numbers: [13]
13,78 unequal: No Solution
Exploring Operation: 1*12=12, Resulting Numbers: [12]
12,78 unequal: No Solution
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,78 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,78 unequal: No Solution
Moving to Node #0,2,1
Current State: 78:[78, 0], Operations: ['89-89=0', '90*0=0']
Exploring Operation: 78*0=0, Resulting Numbers: [0]
0,78 unequal: No Solution
Exploring Operation: 78+0=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[78, 89, 90, 89], Operations: []
Exploring Operation: 89-89=0, Resulting Numbers: [78, 90, 0]
Generated Node #0,2: 78:[78, 90, 0] Operation: 89-89=0
Moving to Node #0,2
Current State: 78:[78, 90, 0], Operations: ['89-89=0']
Exploring Operation: 90*0=0, Resulting Numbers: [78, 0]
Generated Node #0,2,1: 78:[78, 0] Operation: 90*0=0
Moving to Node #0,2,1
Current State: 78:[78, 0], Operations: ['89-89=0', '90*0=0']
Exploring Operation: 78+0=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.962674 | hs_4 | mult_heuristic |
[
93,
76,
9,
96
] | 87 | [
"96-76=20",
"9*20=180",
"180-93=87"
] | Current State: 87:[93, 76, 9, 96], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [93, 9, 20]
Generated Node #2: [93, 9, 20] from Operation: 96-76=20
Current State: 87:[93, 9, 20], Operations: ['96-76=20']
Exploring Operation: 9*20=180, Resulting Numbers: [93, 180]
Generated Node #3: [93, 180] from Operation: 9*20=180
Current State: 87:[93, 180], Operations: ['96-76=20', '9*20=180']
Exploring Operation: 180-93=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[93, 76, 9, 96], Operations: []
Exploring Operation: 96-9=87, Resulting Numbers: [93, 76, 87]
Generated Node #0,0: 87:[93, 76, 87] Operation: 96-9=87
Exploring Operation: 96-76=20, Resulting Numbers: [93, 9, 20]
Generated Node #0,1: 87:[93, 9, 20] Operation: 96-76=20
Exploring Operation: 76+9=85, Resulting Numbers: [93, 96, 85]
Generated Node #0,2: 87:[93, 96, 85] Operation: 76+9=85
Exploring Operation: 96-93=3, Resulting Numbers: [76, 9, 3]
Generated Node #0,3: 87:[76, 9, 3] Operation: 96-93=3
Moving to Node #0,0
Current State: 87:[93, 76, 87], Operations: ['96-9=87']
Exploring Operation: 87-76=11, Resulting Numbers: [93, 11]
Generated Node #0,0,0: 87:[93, 11] Operation: 87-76=11
Exploring Operation: 93-87=6, Resulting Numbers: [76, 6]
Generated Node #0,0,1: 87:[76, 6] Operation: 93-87=6
Exploring Operation: 93+76=169, Resulting Numbers: [87, 169]
Generated Node #0,0,2: 87:[87, 169] Operation: 93+76=169
Exploring Operation: 93-76=17, Resulting Numbers: [87, 17]
Generated Node #0,0,3: 87:[87, 17] Operation: 93-76=17
Moving to Node #0,3
Current State: 87:[76, 9, 3], Operations: ['96-93=3']
Exploring Operation: 9*3=27, Resulting Numbers: [76, 27]
Generated Node #0,3,0: 87:[76, 27] Operation: 9*3=27
Exploring Operation: 76+9=85, Resulting Numbers: [3, 85]
Generated Node #0,3,1: 87:[3, 85] Operation: 76+9=85
Exploring Operation: 76+3=79, Resulting Numbers: [9, 79]
Generated Node #0,3,2: 87:[9, 79] Operation: 76+3=79
Exploring Operation: 9/3=3, Resulting Numbers: [76, 3]
Generated Node #0,3,3: 87:[76, 3] Operation: 9/3=3
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 87:[3, 85], Operations: ['96-93=3', '76+9=85']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,87 unequal: No Solution
Exploring Operation: 3*85=255, Resulting Numbers: [255]
255,87 unequal: No Solution
Exploring Operation: 3+85=88, Resulting Numbers: [88]
88,87 unequal: No Solution
No 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: 87:[76, 3], Operations: ['96-93=3', '9/3=3']
Exploring Operation: 76-3=73, Resulting Numbers: [73]
73,87 unequal: No Solution
Exploring Operation: 76+3=79, Resulting Numbers: [79]
79,87 unequal: No Solution
Exploring Operation: 76*3=228, Resulting Numbers: [228]
228,87 unequal: No Solution
No 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: 87:[76, 27], Operations: ['96-93=3', '9*3=27']
Exploring Operation: 76-27=49, Resulting Numbers: [49]
49,87 unequal: No Solution
Exploring Operation: 76+27=103, Resulting Numbers: [103]
103,87 unequal: No Solution
Exploring Operation: 76*27=2052, Resulting Numbers: [2052]
2052,87 unequal: No Solution
No 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: 87:[9, 79], Operations: ['96-93=3', '76+3=79']
Exploring Operation: 9*79=711, Resulting Numbers: [711]
711,87 unequal: No Solution
Exploring Operation: 79-9=70, Resulting Numbers: [70]
70,87 unequal: No Solution
Exploring Operation: 9+79=88, Resulting Numbers: [88]
88,87 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: 87:[93, 96, 85], Operations: ['76+9=85']
Exploring Operation: 93+85=178, Resulting Numbers: [96, 178]
Generated Node #0,2,0: 87:[96, 178] Operation: 93+85=178
Exploring Operation: 96-93=3, Resulting Numbers: [85, 3]
Generated Node #0,2,1: 87:[85, 3] Operation: 96-93=3
Exploring Operation: 96-85=11, Resulting Numbers: [93, 11]
Generated Node #0,2,2: 87:[93, 11] Operation: 96-85=11
Exploring Operation: 93-85=8, Resulting Numbers: [96, 8]
Generated Node #0,2,3: 87:[96, 8] Operation: 93-85=8
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 87:[85, 3], Operations: ['76+9=85', '96-93=3']
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,87 unequal: No Solution
Exploring Operation: 85*3=255, Resulting Numbers: [255]
255,87 unequal: No Solution
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,87 unequal: No Solution
No 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: 87:[93, 11], Operations: ['76+9=85', '96-85=11']
Exploring Operation: 93+11=104, Resulting Numbers: [104]
104,87 unequal: No Solution
Exploring Operation: 93*11=1023, Resulting Numbers: [1023]
1023,87 unequal: No Solution
Exploring Operation: 93-11=82, Resulting Numbers: [82]
82,87 unequal: No Solution
No 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: 87:[96, 8], Operations: ['76+9=85', '93-85=8']
Exploring Operation: 96/8=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 96*8=768, Resulting Numbers: [768]
768,87 unequal: No Solution
Exploring Operation: 96+8=104, Resulting Numbers: [104]
104,87 unequal: No Solution
Exploring Operation: 96-8=88, Resulting Numbers: [88]
88,87 unequal: No Solution
No 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: 87:[96, 178], Operations: ['76+9=85', '93+85=178']
Exploring Operation: 96+178=274, Resulting Numbers: [274]
274,87 unequal: No Solution
Exploring Operation: 96*178=17088, Resulting Numbers: [17088]
17088,87 unequal: No Solution
Exploring Operation: 178-96=82, Resulting Numbers: [82]
82,87 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: 87:[93, 9, 20], Operations: ['96-76=20']
Exploring Operation: 93-20=73, Resulting Numbers: [9, 73]
Generated Node #0,1,0: 87:[9, 73] Operation: 93-20=73
Exploring Operation: 93-9=84, Resulting Numbers: [20, 84]
Generated Node #0,1,1: 87:[20, 84] Operation: 93-9=84
Exploring Operation: 9+20=29, Resulting Numbers: [93, 29]
Generated Node #0,1,2: 87:[93, 29] Operation: 9+20=29
Exploring Operation: 20-9=11, Resulting Numbers: [93, 11]
Generated Node #0,1,3: 87:[93, 11] Operation: 20-9=11
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 87:[93, 29], Operations: ['96-76=20', '9+20=29']
Exploring Operation: 93-29=64, Resulting Numbers: [64]
64,87 unequal: No Solution
Exploring Operation: 93*29=2697, Resulting Numbers: [2697]
2697,87 unequal: No Solution
Exploring Operation: 93+29=122, Resulting Numbers: [122]
122,87 unequal: No Solution
No 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: 87:[20, 84], Operations: ['96-76=20', '93-9=84']
Exploring Operation: 20+84=104, Resulting Numbers: [104]
104,87 unequal: No Solution
Exploring Operation: 20*84=1680, Resulting Numbers: [1680]
1680,87 unequal: No Solution
Exploring Operation: 84-20=64, Resulting Numbers: [64]
64,87 unequal: No Solution
No 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: 87:[93, 11], Operations: ['96-76=20', '20-9=11']
Exploring Operation: 93-11=82, Resulting Numbers: [82]
82,87 unequal: No Solution
Exploring Operation: 93+11=104, Resulting Numbers: [104]
104,87 unequal: No Solution
Exploring Operation: 93*11=1023, Resulting Numbers: [1023]
1023,87 unequal: No Solution
No 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: 87:[9, 73], Operations: ['96-76=20', '93-20=73']
Exploring Operation: 73-9=64, Resulting Numbers: [64]
64,87 unequal: No Solution
Exploring Operation: 9*73=657, Resulting Numbers: [657]
657,87 unequal: No Solution
Exploring Operation: 9+73=82, Resulting Numbers: [82]
82,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 87:[87, 17], Operations: ['96-9=87', '93-76=17']
Exploring Operation: 87*17=1479, Resulting Numbers: [1479]
1479,87 unequal: No Solution
Exploring Operation: 87+17=104, Resulting Numbers: [104]
104,87 unequal: No Solution
Exploring Operation: 87-17=70, Resulting Numbers: [70]
70,87 unequal: No Solution
Moving to Node #0,0,1
Current State: 87:[76, 6], Operations: ['96-9=87', '93-87=6']
Exploring Operation: 76+6=82, Resulting Numbers: [82]
82,87 unequal: No Solution
Exploring Operation: 76-6=70, Resulting Numbers: [70]
70,87 unequal: No Solution
Exploring Operation: 76*6=456, Resulting Numbers: [456]
456,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[93, 11], Operations: ['96-9=87', '87-76=11']
Exploring Operation: 93+11=104, Resulting Numbers: [104]
104,87 unequal: No Solution
Exploring Operation: 93-11=82, Resulting Numbers: [82]
82,87 unequal: No Solution
Exploring Operation: 93*11=1023, Resulting Numbers: [1023]
1023,87 unequal: No Solution
Moving to Node #0,0,2
Current State: 87:[87, 169], Operations: ['96-9=87', '93+76=169']
Exploring Operation: 87*169=14703, Resulting Numbers: [14703]
14703,87 unequal: No Solution
Exploring Operation: 169-87=82, Resulting Numbers: [82]
82,87 unequal: No Solution
Exploring Operation: 87+169=256, Resulting Numbers: [256]
256,87 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
15,
8,
19,
23
] | 83 | [
"23-15=8",
"8*8=64",
"19+64=83"
] | Current State: 83:[15, 8, 19, 23], Operations: []
Exploring Operation: 23-15=8, Resulting Numbers: [8, 19, 8]
Generated Node #2: [8, 19, 8] from Operation: 23-15=8
Current State: 83:[8, 19, 8], Operations: ['23-15=8']
Exploring Operation: 8*8=64, Resulting Numbers: [19, 64]
Generated Node #3: [19, 64] from Operation: 8*8=64
Current State: 83:[19, 64], Operations: ['23-15=8', '8*8=64']
Exploring Operation: 19+64=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[15, 8, 19, 23], Operations: []
Exploring Operation: 15*8=120, Resulting Numbers: [19, 23, 120]
Generated Node #0,0: 83:[19, 23, 120] Operation: 15*8=120
Exploring Operation: 15+8=23, Resulting Numbers: [19, 23, 23]
Generated Node #0,1: 83:[19, 23, 23] Operation: 15+8=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[19, 23, 120], Operations: ['15*8=120']
Exploring Operation: 19+23=42, Resulting Numbers: [120, 42]
Generated Node #0,0,0: 83:[120, 42] Operation: 19+23=42
Exploring Operation: 120-19=101, Resulting Numbers: [23, 101]
Generated Node #0,0,1: 83:[23, 101] Operation: 120-19=101
Moving to Node #0,0,0
Current State: 83:[120, 42], Operations: ['15*8=120', '19+23=42']
Exploring Operation: 120+42=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 120-42=78, Resulting Numbers: [78]
78,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[23, 101], Operations: ['15*8=120', '120-19=101']
Exploring Operation: 101-23=78, Resulting Numbers: [78]
78,83 unequal: No Solution
Exploring Operation: 23+101=124, Resulting Numbers: [124]
124,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[19, 23, 23], Operations: ['15+8=23']
Exploring Operation: 19+23=42, Resulting Numbers: [23, 42]
Generated Node #0,1,0: 83:[23, 42] Operation: 19+23=42
Exploring Operation: 19+23=42, Resulting Numbers: [23, 42]
Generated Node #0,1,1: 83:[23, 42] Operation: 19+23=42
Moving to Node #0,1,0
Current State: 83:[23, 42], Operations: ['15+8=23', '19+23=42']
Exploring Operation: 42-23=19, Resulting Numbers: [19]
19,83 unequal: No Solution
Exploring Operation: 23+42=65, Resulting Numbers: [65]
65,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[23, 42], Operations: ['15+8=23', '19+23=42']
Exploring Operation: 42-23=19, Resulting Numbers: [19]
19,83 unequal: No Solution
Exploring Operation: 23+42=65, Resulting Numbers: [65]
65,83 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 |
[
54,
27,
39,
38
] | 50 | [
"54-27=27",
"39+38=77",
"77-27=50"
] | Current State: 50:[54, 27, 39, 38], Operations: []
Exploring Operation: 54-27=27, Resulting Numbers: [39, 38, 27]
Generated Node #2: [39, 38, 27] from Operation: 54-27=27
Current State: 50:[39, 38, 27], Operations: ['54-27=27']
Exploring Operation: 39+38=77, Resulting Numbers: [27, 77]
Generated Node #3: [27, 77] from Operation: 39+38=77
Current State: 50:[27, 77], Operations: ['54-27=27', '39+38=77']
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[54, 27, 39, 38], Operations: []
Exploring Operation: 39-27=12, Resulting Numbers: [54, 38, 12]
Generated Node #0,0: 50:[54, 38, 12] Operation: 39-27=12
Exploring Operation: 38-27=11, Resulting Numbers: [54, 39, 11]
Generated Node #0,1: 50:[54, 39, 11] Operation: 38-27=11
Exploring Operation: 39-38=1, Resulting Numbers: [54, 27, 1]
Generated Node #0,2: 50:[54, 27, 1] Operation: 39-38=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[54, 27, 1], Operations: ['39-38=1']
Exploring Operation: 54-27=27, Resulting Numbers: [1, 27]
Generated Node #0,2,0: 50:[1, 27] Operation: 54-27=27
Exploring Operation: 54-1=53, Resulting Numbers: [27, 53]
Generated Node #0,2,1: 50:[27, 53] Operation: 54-1=53
Exploring Operation: 54/27=2, Resulting Numbers: [1, 2]
Generated Node #0,2,2: 50:[1, 2] Operation: 54/27=2
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 50:[1, 2], Operations: ['39-38=1', '54/27=2']
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,50 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,50 unequal: No Solution
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,50 unequal: No Solution
No 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: 50:[1, 27], Operations: ['39-38=1', '54-27=27']
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Exploring Operation: 1*27=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,50 unequal: No Solution
No 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: 50:[27, 53], Operations: ['39-38=1', '54-1=53']
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,50 unequal: No Solution
Exploring Operation: 27+53=80, Resulting Numbers: [80]
80,50 unequal: No Solution
Exploring Operation: 27*53=1431, Resulting Numbers: [1431]
1431,50 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: 50:[54, 39, 11], Operations: ['38-27=11']
Exploring Operation: 54-39=15, Resulting Numbers: [11, 15]
Generated Node #0,1,0: 50:[11, 15] Operation: 54-39=15
Exploring Operation: 39+11=50, Resulting Numbers: [54, 50]
Generated Node #0,1,1: 50:[54, 50] Operation: 39+11=50
Exploring Operation: 39-11=28, Resulting Numbers: [54, 28]
Generated Node #0,1,2: 50:[54, 28] Operation: 39-11=28
Moving to Node #0,1,1
Current State: 50:[54, 50], Operations: ['38-27=11', '39+11=50']
Exploring Operation: 54*50=2700, Resulting Numbers: [2700]
2700,50 unequal: No Solution
Exploring Operation: 54+50=104, Resulting Numbers: [104]
104,50 unequal: No Solution
Exploring Operation: 54-50=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Moving to Node #0,1,0
Current State: 50:[11, 15], Operations: ['38-27=11', '54-39=15']
Exploring Operation: 11+15=26, Resulting Numbers: [26]
26,50 unequal: No Solution
Exploring Operation: 11*15=165, Resulting Numbers: [165]
165,50 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Moving to Node #0,1,2
Current State: 50:[54, 28], Operations: ['38-27=11', '39-11=28']
Exploring Operation: 54*28=1512, Resulting Numbers: [1512]
1512,50 unequal: No Solution
Exploring Operation: 54-28=26, Resulting Numbers: [26]
26,50 unequal: No Solution
Exploring Operation: 54+28=82, Resulting Numbers: [82]
82,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[54, 38, 12], Operations: ['39-27=12']
Exploring Operation: 38-12=26, Resulting Numbers: [54, 26]
Generated Node #0,0,0: 50:[54, 26] Operation: 38-12=26
Exploring Operation: 54-38=16, Resulting Numbers: [12, 16]
Generated Node #0,0,1: 50:[12, 16] Operation: 54-38=16
Exploring Operation: 38+12=50, Resulting Numbers: [54, 50]
Generated Node #0,0,2: 50:[54, 50] Operation: 38+12=50
Moving to Node #0,0,2
Current State: 50:[54, 50], Operations: ['39-27=12', '38+12=50']
Exploring Operation: 54*50=2700, Resulting Numbers: [2700]
2700,50 unequal: No Solution
Exploring Operation: 54-50=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 54+50=104, Resulting Numbers: [104]
104,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[54, 26], Operations: ['39-27=12', '38-12=26']
Exploring Operation: 54*26=1404, Resulting Numbers: [1404]
1404,50 unequal: No Solution
Exploring Operation: 54+26=80, Resulting Numbers: [80]
80,50 unequal: No Solution
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[12, 16], Operations: ['39-27=12', '54-38=16']
Exploring Operation: 12*16=192, Resulting Numbers: [192]
192,50 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,50 unequal: No Solution
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,50 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 |
[
59,
35,
94,
68
] | 67 | [
"59+35=94",
"94/94=1",
"68-1=67"
] | Current State: 67:[59, 35, 94, 68], Operations: []
Exploring Operation: 59+35=94, Resulting Numbers: [94, 68, 94]
Generated Node #2: [94, 68, 94] from Operation: 59+35=94
Current State: 67:[94, 68, 94], Operations: ['59+35=94']
Exploring Operation: 94/94=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 94/94=1
Current State: 67:[68, 1], Operations: ['59+35=94', '94/94=1']
Exploring Operation: 68-1=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[59, 35, 94, 68], Operations: []
Exploring Operation: 94-35=59, Resulting Numbers: [59, 68, 59]
Generated Node #0,0: 67:[59, 68, 59] Operation: 94-35=59
Moving to Node #0,0
Current State: 67:[59, 68, 59], Operations: ['94-35=59']
Exploring Operation: 59+59=118, Resulting Numbers: [68, 118]
Generated Node #0,0,0: 67:[68, 118] Operation: 59+59=118
Moving to Node #0,0,0
Current State: 67:[68, 118], Operations: ['94-35=59', '59+59=118']
Exploring Operation: 118-68=50, Resulting Numbers: [50]
50,67 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
83,
8,
69,
93
] | 86 | [
"93-69=24",
"24/8=3",
"83+3=86"
] | Current State: 86:[83, 8, 69, 93], Operations: []
Exploring Operation: 93-69=24, Resulting Numbers: [83, 8, 24]
Generated Node #2: [83, 8, 24] from Operation: 93-69=24
Current State: 86:[83, 8, 24], Operations: ['93-69=24']
Exploring Operation: 24/8=3, Resulting Numbers: [83, 3]
Generated Node #3: [83, 3] from Operation: 24/8=3
Current State: 86:[83, 3], Operations: ['93-69=24', '24/8=3']
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[83, 8, 69, 93], Operations: []
Exploring Operation: 83-69=14, Resulting Numbers: [8, 93, 14]
Generated Node #0,0: 86:[8, 93, 14] Operation: 83-69=14
Exploring Operation: 8+69=77, Resulting Numbers: [83, 93, 77]
Generated Node #0,1: 86:[83, 93, 77] Operation: 8+69=77
Exploring Operation: 93-8=85, Resulting Numbers: [83, 69, 85]
Generated Node #0,2: 86:[83, 69, 85] Operation: 93-8=85
Moving to Node #0,1
Current State: 86:[83, 93, 77], Operations: ['8+69=77']
Exploring Operation: 83-77=6, Resulting Numbers: [93, 6]
Generated Node #0,1,0: 86:[93, 6] Operation: 83-77=6
Exploring Operation: 93-83=10, Resulting Numbers: [77, 10]
Generated Node #0,1,1: 86:[77, 10] Operation: 93-83=10
Exploring Operation: 93-77=16, Resulting Numbers: [83, 16]
Generated Node #0,1,2: 86:[83, 16] Operation: 93-77=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[93, 6], Operations: ['8+69=77', '83-77=6']
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,86 unequal: No Solution
Exploring Operation: 93*6=558, Resulting Numbers: [558]
558,86 unequal: No Solution
Exploring Operation: 93+6=99, Resulting Numbers: [99]
99,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[77, 10], Operations: ['8+69=77', '93-83=10']
Exploring Operation: 77+10=87, Resulting Numbers: [87]
87,86 unequal: No Solution
Exploring Operation: 77-10=67, Resulting Numbers: [67]
67,86 unequal: No Solution
Exploring Operation: 77*10=770, Resulting Numbers: [770]
770,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 86:[83, 16], Operations: ['8+69=77', '93-77=16']
Exploring Operation: 83-16=67, Resulting Numbers: [67]
67,86 unequal: No Solution
Exploring Operation: 83*16=1328, Resulting Numbers: [1328]
1328,86 unequal: No Solution
Exploring Operation: 83+16=99, Resulting Numbers: [99]
99,86 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: 86:[83, 69, 85], Operations: ['93-8=85']
Exploring Operation: 85-83=2, Resulting Numbers: [69, 2]
Generated Node #0,2,0: 86:[69, 2] Operation: 85-83=2
Exploring Operation: 83-69=14, Resulting Numbers: [85, 14]
Generated Node #0,2,1: 86:[85, 14] Operation: 83-69=14
Exploring Operation: 85-69=16, Resulting Numbers: [83, 16]
Generated Node #0,2,2: 86:[83, 16] Operation: 85-69=16
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 86:[85, 14], Operations: ['93-8=85', '83-69=14']
Exploring Operation: 85+14=99, Resulting Numbers: [99]
99,86 unequal: No Solution
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 85*14=1190, Resulting Numbers: [1190]
1190,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 86:[69, 2], Operations: ['93-8=85', '85-83=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,86 unequal: No Solution
Exploring Operation: 69*2=138, Resulting Numbers: [138]
138,86 unequal: No Solution
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 86:[83, 16], Operations: ['93-8=85', '85-69=16']
Exploring Operation: 83+16=99, Resulting Numbers: [99]
99,86 unequal: No Solution
Exploring Operation: 83*16=1328, Resulting Numbers: [1328]
1328,86 unequal: No Solution
Exploring Operation: 83-16=67, Resulting Numbers: [67]
67,86 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: 86:[8, 93, 14], Operations: ['83-69=14']
Exploring Operation: 93-8=85, Resulting Numbers: [14, 85]
Generated Node #0,0,0: 86:[14, 85] Operation: 93-8=85
Exploring Operation: 14-8=6, Resulting Numbers: [93, 6]
Generated Node #0,0,1: 86:[93, 6] Operation: 14-8=6
Exploring Operation: 93-14=79, Resulting Numbers: [8, 79]
Generated Node #0,0,2: 86:[8, 79] Operation: 93-14=79
Moving to Node #0,0,1
Current State: 86:[93, 6], Operations: ['83-69=14', '14-8=6']
Exploring Operation: 93*6=558, Resulting Numbers: [558]
558,86 unequal: No Solution
Exploring Operation: 93+6=99, Resulting Numbers: [99]
99,86 unequal: No Solution
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[14, 85], Operations: ['83-69=14', '93-8=85']
Exploring Operation: 14*85=1190, Resulting Numbers: [1190]
1190,86 unequal: No Solution
Exploring Operation: 14+85=99, Resulting Numbers: [99]
99,86 unequal: No Solution
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[8, 79], Operations: ['83-69=14', '93-14=79']
Exploring Operation: 79-8=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 8+79=87, Resulting Numbers: [87]
87,86 unequal: No Solution
Exploring Operation: 8*79=632, Resulting Numbers: [632]
632,86 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
5,
4,
31,
75
] | 42 | [
"75/5=15",
"31-4=27",
"15+27=42"
] | Current State: 42:[5, 4, 31, 75], Operations: []
Exploring Operation: 75/5=15, Resulting Numbers: [4, 31, 15]
Generated Node #2: [4, 31, 15] from Operation: 75/5=15
Current State: 42:[4, 31, 15], Operations: ['75/5=15']
Exploring Operation: 31-4=27, Resulting Numbers: [15, 27]
Generated Node #3: [15, 27] from Operation: 31-4=27
Current State: 42:[15, 27], Operations: ['75/5=15', '31-4=27']
Exploring Operation: 15+27=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[5, 4, 31, 75], Operations: []
Exploring Operation: 75-5=70, Resulting Numbers: [4, 31, 70]
Generated Node #0,0: 42:[4, 31, 70] Operation: 75-5=70
Exploring Operation: 75-31=44, Resulting Numbers: [5, 4, 44]
Generated Node #0,1: 42:[5, 4, 44] Operation: 75-31=44
Exploring Operation: 31-5=26, Resulting Numbers: [4, 75, 26]
Generated Node #0,2: 42:[4, 75, 26] Operation: 31-5=26
Exploring Operation: 75/5=15, Resulting Numbers: [4, 31, 15]
Generated Node #0,3: 42:[4, 31, 15] Operation: 75/5=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[5, 4, 44], Operations: ['75-31=44']
Exploring Operation: 5*4=20, Resulting Numbers: [44, 20]
Generated Node #0,1,0: 42:[44, 20] Operation: 5*4=20
Exploring Operation: 5-4=1, Resulting Numbers: [44, 1]
Generated Node #0,1,1: 42:[44, 1] Operation: 5-4=1
Exploring Operation: 5+4=9, Resulting Numbers: [44, 9]
Generated Node #0,1,2: 42:[44, 9] Operation: 5+4=9
Exploring Operation: 44-4=40, Resulting Numbers: [5, 40]
Generated Node #0,1,3: 42:[5, 40] Operation: 44-4=40
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 42:[44, 20], Operations: ['75-31=44', '5*4=20']
Exploring Operation: 44*20=880, Resulting Numbers: [880]
880,42 unequal: No Solution
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,42 unequal: No Solution
Exploring Operation: 44+20=64, Resulting Numbers: [64]
64,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 42:[44, 1], Operations: ['75-31=44', '5-4=1']
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,42 unequal: No Solution
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,42 unequal: No Solution
Exploring Operation: 44-1=43, Resulting Numbers: [43]
43,42 unequal: No Solution
Exploring Operation: 44/1=44, Resulting Numbers: [44]
44,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 42:[5, 40], Operations: ['75-31=44', '44-4=40']
Exploring Operation: 5*40=200, Resulting Numbers: [200]
200,42 unequal: No Solution
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,42 unequal: No Solution
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,42 unequal: No Solution
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 42:[44, 9], Operations: ['75-31=44', '5+4=9']
Exploring Operation: 44*9=396, Resulting Numbers: [396]
396,42 unequal: No Solution
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 42:[4, 31, 15], Operations: ['75/5=15']
Exploring Operation: 31-4=27, Resulting Numbers: [15, 27]
Generated Node #0,3,0: 42:[15, 27] Operation: 31-4=27
Exploring Operation: 31-15=16, Resulting Numbers: [4, 16]
Generated Node #0,3,1: 42:[4, 16] Operation: 31-15=16
Exploring Operation: 4+31=35, Resulting Numbers: [15, 35]
Generated Node #0,3,2: 42:[15, 35] Operation: 4+31=35
Exploring Operation: 31+15=46, Resulting Numbers: [4, 46]
Generated Node #0,3,3: 42:[4, 46] Operation: 31+15=46
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 42:[4, 16], Operations: ['75/5=15', '31-15=16']
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,42 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,42 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,42 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 42:[4, 46], Operations: ['75/5=15', '31+15=46']
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,42 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[5, 4, 31, 75], Operations: []
Exploring Operation: 75/5=15, Resulting Numbers: [4, 31, 15]
Generated Node #0,3: 42:[4, 31, 15] Operation: 75/5=15
Moving to Node #0,3
Current State: 42:[4, 31, 15], Operations: ['75/5=15']
Exploring Operation: 31+15=46, Resulting Numbers: [4, 46]
Generated Node #0,3,3: 42:[4, 46] Operation: 31+15=46
Moving to Node #0,3,3
Current State: 42:[4, 46], Operations: ['75/5=15', '31+15=46']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 | hs_4 | mult_heuristic |
[
52,
46,
16,
12
] | 14 | [
"52-46=6",
"12/6=2",
"16-2=14"
] | Current State: 14:[52, 46, 16, 12], Operations: []
Exploring Operation: 52-46=6, Resulting Numbers: [16, 12, 6]
Generated Node #2: [16, 12, 6] from Operation: 52-46=6
Current State: 14:[16, 12, 6], Operations: ['52-46=6']
Exploring Operation: 12/6=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 12/6=2
Current State: 14:[16, 2], Operations: ['52-46=6', '12/6=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[52, 46, 16, 12], Operations: []
Exploring Operation: 52-46=6, Resulting Numbers: [16, 12, 6]
Generated Node #0,0: 14:[16, 12, 6] Operation: 52-46=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[16, 12, 6], Operations: ['52-46=6']
Exploring Operation: 12/6=2, Resulting Numbers: [16, 2]
Generated Node #0,0,0: 14:[16, 2] Operation: 12/6=2
Moving to Node #0,0,0
Current State: 14:[16, 2], Operations: ['52-46=6', '12/6=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[52, 46, 16, 12], Operations: []
Exploring Operation: 52-46=6, Resulting Numbers: [16, 12, 6]
Generated Node #0,0: 14:[16, 12, 6] Operation: 52-46=6
Moving to Node #0,0
Current State: 14:[16, 12, 6], Operations: ['52-46=6']
Exploring Operation: 12/6=2, Resulting Numbers: [16, 2]
Generated Node #0,0,0: 14:[16, 2] Operation: 12/6=2
Moving to Node #0,0,0
Current State: 14:[16, 2], Operations: ['52-46=6', '12/6=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
10,
82,
20,
33
] | 51 | [
"20/10=2",
"82-33=49",
"2+49=51"
] | Current State: 51:[10, 82, 20, 33], Operations: []
Exploring Operation: 20/10=2, Resulting Numbers: [82, 33, 2]
Generated Node #2: [82, 33, 2] from Operation: 20/10=2
Current State: 51:[82, 33, 2], Operations: ['20/10=2']
Exploring Operation: 82-33=49, Resulting Numbers: [2, 49]
Generated Node #3: [2, 49] from Operation: 82-33=49
Current State: 51:[2, 49], Operations: ['20/10=2', '82-33=49']
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[10, 82, 20, 33], Operations: []
Exploring Operation: 82-33=49, Resulting Numbers: [10, 20, 49]
Generated Node #0,0: 51:[10, 20, 49] Operation: 82-33=49
Moving to Node #0,0
Current State: 51:[10, 20, 49], Operations: ['82-33=49']
Exploring Operation: 20/10=2, Resulting Numbers: [49, 2]
Generated Node #0,0,0: 51:[49, 2] Operation: 20/10=2
Moving to Node #0,0,0
Current State: 51:[49, 2], Operations: ['82-33=49', '20/10=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[10, 82, 20, 33], Operations: []
Exploring Operation: 82-33=49, Resulting Numbers: [10, 20, 49]
Generated Node #0,0: 51:[10, 20, 49] Operation: 82-33=49
Moving to Node #0,0
Current State: 51:[10, 20, 49], Operations: ['82-33=49']
Exploring Operation: 20/10=2, Resulting Numbers: [49, 2]
Generated Node #0,0,0: 51:[49, 2] Operation: 20/10=2
Moving to Node #0,0,0
Current State: 51:[49, 2], Operations: ['82-33=49', '20/10=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
84,
4,
71,
78
] | 47 | [
"84-78=6",
"4*6=24",
"71-24=47"
] | Current State: 47:[84, 4, 71, 78], Operations: []
Exploring Operation: 84-78=6, Resulting Numbers: [4, 71, 6]
Generated Node #2: [4, 71, 6] from Operation: 84-78=6
Current State: 47:[4, 71, 6], Operations: ['84-78=6']
Exploring Operation: 4*6=24, Resulting Numbers: [71, 24]
Generated Node #3: [71, 24] from Operation: 4*6=24
Current State: 47:[71, 24], Operations: ['84-78=6', '4*6=24']
Exploring Operation: 71-24=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[84, 4, 71, 78], Operations: []
Exploring Operation: 84-4=80, Resulting Numbers: [71, 78, 80]
Generated Node #0,0: 47:[71, 78, 80] Operation: 84-4=80
Exploring Operation: 84/4=21, Resulting Numbers: [71, 78, 21]
Generated Node #0,1: 47:[71, 78, 21] Operation: 84/4=21
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[71, 78, 21], Operations: ['84/4=21']
Exploring Operation: 78-21=57, Resulting Numbers: [71, 57]
Generated Node #0,1,0: 47:[71, 57] Operation: 78-21=57
Exploring Operation: 71-21=50, Resulting Numbers: [78, 50]
Generated Node #0,1,1: 47:[78, 50] Operation: 71-21=50
Moving to Node #0,1,0
Current State: 47:[71, 57], Operations: ['84/4=21', '78-21=57']
Exploring Operation: 71-57=14, Resulting Numbers: [14]
14,47 unequal: No Solution
Exploring Operation: 71+57=128, Resulting Numbers: [128]
128,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[78, 50], Operations: ['84/4=21', '71-21=50']
Exploring Operation: 78+50=128, Resulting Numbers: [128]
128,47 unequal: No Solution
Exploring Operation: 78-50=28, Resulting Numbers: [28]
28,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[71, 78, 80], Operations: ['84-4=80']
Exploring Operation: 80-71=9, Resulting Numbers: [78, 9]
Generated Node #0,0,0: 47:[78, 9] Operation: 80-71=9
Exploring Operation: 80-78=2, Resulting Numbers: [71, 2]
Generated Node #0,0,1: 47:[71, 2] Operation: 80-78=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[78, 9], Operations: ['84-4=80', '80-71=9']
Exploring Operation: 78+9=87, Resulting Numbers: [87]
87,47 unequal: No Solution
Exploring Operation: 78-9=69, Resulting Numbers: [69]
69,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[71, 2], Operations: ['84-4=80', '80-78=2']
Exploring Operation: 71+2=73, Resulting Numbers: [73]
73,47 unequal: No Solution
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
96,
48,
81,
79
] | 96 | [
"96-48=48",
"81-79=2",
"48*2=96"
] | Current State: 96:[96, 48, 81, 79], Operations: []
Exploring Operation: 96-48=48, Resulting Numbers: [81, 79, 48]
Generated Node #2: [81, 79, 48] from Operation: 96-48=48
Current State: 96:[81, 79, 48], Operations: ['96-48=48']
Exploring Operation: 81-79=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 81-79=2
Current State: 96:[48, 2], Operations: ['96-48=48', '81-79=2']
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[96, 48, 81, 79], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [96, 48, 2]
Generated Node #0,0: 96:[96, 48, 2] Operation: 81-79=2
Exploring Operation: 96-81=15, Resulting Numbers: [48, 79, 15]
Generated Node #0,1: 96:[48, 79, 15] Operation: 96-81=15
Exploring Operation: 81-48=33, Resulting Numbers: [96, 79, 33]
Generated Node #0,2: 96:[96, 79, 33] Operation: 81-48=33
Exploring Operation: 96-79=17, Resulting Numbers: [48, 81, 17]
Generated Node #0,3: 96:[48, 81, 17] Operation: 96-79=17
Exploring Operation: 79-48=31, Resulting Numbers: [96, 81, 31]
Generated Node #0,4: 96:[96, 81, 31] Operation: 79-48=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[96, 48, 2], Operations: ['81-79=2']
Exploring Operation: 96/2=48, Resulting Numbers: [48, 48]
Generated Node #0,0,0: 96:[48, 48] Operation: 96/2=48
Exploring Operation: 96/48=2, Resulting Numbers: [2, 2]
Generated Node #0,0,1: 96:[2, 2] Operation: 96/48=2
Exploring Operation: 96-48=48, Resulting Numbers: [2, 48]
Generated Node #0,0,2: 96:[2, 48] Operation: 96-48=48
Exploring Operation: 48*2=96, Resulting Numbers: [96, 96]
Generated Node #0,0,3: 96:[96, 96] Operation: 48*2=96
Exploring Operation: 48/2=24, Resulting Numbers: [96, 24]
Generated Node #0,0,4: 96:[96, 24] Operation: 48/2=24
Moving to Node #0,0,0
Current State: 96:[48, 48], Operations: ['81-79=2', '96/2=48']
Exploring Operation: 48*48=2304, Resulting Numbers: [2304]
2304,96 unequal: No Solution
Exploring Operation: 48-48=0, Resulting Numbers: [0]
0,96 unequal: No Solution
Exploring Operation: 48+48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[96, 48, 81, 79], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [96, 48, 2]
Generated Node #0,0: 96:[96, 48, 2] Operation: 81-79=2
Moving to Node #0,0
Current State: 96:[96, 48, 2], Operations: ['81-79=2']
Exploring Operation: 96/2=48, Resulting Numbers: [48, 48]
Generated Node #0,0,0: 96:[48, 48] Operation: 96/2=48
Moving to Node #0,0,0
Current State: 96:[48, 48], Operations: ['81-79=2', '96/2=48']
Exploring Operation: 48+48=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
21,
53,
44,
59
] | 29 | [
"21+53=74",
"44+59=103",
"103-74=29"
] | Current State: 29:[21, 53, 44, 59], Operations: []
Exploring Operation: 21+53=74, Resulting Numbers: [44, 59, 74]
Generated Node #2: [44, 59, 74] from Operation: 21+53=74
Current State: 29:[44, 59, 74], Operations: ['21+53=74']
Exploring Operation: 44+59=103, Resulting Numbers: [74, 103]
Generated Node #3: [74, 103] from Operation: 44+59=103
Current State: 29:[74, 103], Operations: ['21+53=74', '44+59=103']
Exploring Operation: 103-74=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[21, 53, 44, 59], Operations: []
Exploring Operation: 59-53=6, Resulting Numbers: [21, 44, 6]
Generated Node #0,0: 29:[21, 44, 6] Operation: 59-53=6
Exploring Operation: 59-44=15, Resulting Numbers: [21, 53, 15]
Generated Node #0,1: 29:[21, 53, 15] Operation: 59-44=15
Exploring Operation: 53-21=32, Resulting Numbers: [44, 59, 32]
Generated Node #0,2: 29:[44, 59, 32] Operation: 53-21=32
Exploring Operation: 59-21=38, Resulting Numbers: [53, 44, 38]
Generated Node #0,3: 29:[53, 44, 38] Operation: 59-21=38
Exploring Operation: 53-44=9, Resulting Numbers: [21, 59, 9]
Generated Node #0,4: 29:[21, 59, 9] Operation: 53-44=9
Moving to Node #0,0
Current State: 29:[21, 44, 6], Operations: ['59-53=6']
Exploring Operation: 44+6=50, Resulting Numbers: [21, 50]
Generated Node #0,0,0: 29:[21, 50] Operation: 44+6=50
Exploring Operation: 21+6=27, Resulting Numbers: [44, 27]
Generated Node #0,0,1: 29:[44, 27] Operation: 21+6=27
Exploring Operation: 44-6=38, Resulting Numbers: [21, 38]
Generated Node #0,0,2: 29:[21, 38] Operation: 44-6=38
Exploring Operation: 21-6=15, Resulting Numbers: [44, 15]
Generated Node #0,0,3: 29:[44, 15] Operation: 21-6=15
Exploring Operation: 44-21=23, Resulting Numbers: [6, 23]
Generated Node #0,0,4: 29:[6, 23] Operation: 44-21=23
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 29:[44, 27], Operations: ['59-53=6', '21+6=27']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,29 unequal: No Solution
Exploring Operation: 44+27=71, Resulting Numbers: [71]
71,29 unequal: No Solution
Exploring Operation: 44*27=1188, Resulting Numbers: [1188]
1188,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 29:[21, 38], Operations: ['59-53=6', '44-6=38']
Exploring Operation: 38-21=17, Resulting Numbers: [17]
17,29 unequal: No Solution
Exploring Operation: 21+38=59, Resulting Numbers: [59]
59,29 unequal: No Solution
Exploring Operation: 21*38=798, Resulting Numbers: [798]
798,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[21, 50], Operations: ['59-53=6', '44+6=50']
Exploring Operation: 21*50=1050, Resulting Numbers: [1050]
1050,29 unequal: No Solution
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[21, 53, 44, 59], Operations: []
Exploring Operation: 59-53=6, Resulting Numbers: [21, 44, 6]
Generated Node #0,0: 29:[21, 44, 6] Operation: 59-53=6
Moving to Node #0,0
Current State: 29:[21, 44, 6], Operations: ['59-53=6']
Exploring Operation: 44+6=50, Resulting Numbers: [21, 50]
Generated Node #0,0,0: 29:[21, 50] Operation: 44+6=50
Moving to Node #0,0,0
Current State: 29:[21, 50], Operations: ['59-53=6', '44+6=50']
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | mult_heuristic |
[
8,
3,
2,
92
] | 18 | [
"8-3=5",
"92-2=90",
"90/5=18"
] | Current State: 18:[8, 3, 2, 92], Operations: []
Exploring Operation: 8-3=5, Resulting Numbers: [2, 92, 5]
Generated Node #2: [2, 92, 5] from Operation: 8-3=5
Current State: 18:[2, 92, 5], Operations: ['8-3=5']
Exploring Operation: 92-2=90, Resulting Numbers: [5, 90]
Generated Node #3: [5, 90] from Operation: 92-2=90
Current State: 18:[5, 90], Operations: ['8-3=5', '92-2=90']
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[8, 3, 2, 92], Operations: []
Exploring Operation: 92-3=89, Resulting Numbers: [8, 2, 89]
Generated Node #0,0: 18:[8, 2, 89] Operation: 92-3=89
Exploring Operation: 92-8=84, Resulting Numbers: [3, 2, 84]
Generated Node #0,1: 18:[3, 2, 84] Operation: 92-8=84
Exploring Operation: 8-2=6, Resulting Numbers: [3, 92, 6]
Generated Node #0,2: 18:[3, 92, 6] Operation: 8-2=6
Exploring Operation: 92-2=90, Resulting Numbers: [8, 3, 90]
Generated Node #0,3: 18:[8, 3, 90] Operation: 92-2=90
Exploring Operation: 92/2=46, Resulting Numbers: [8, 3, 46]
Generated Node #0,4: 18:[8, 3, 46] Operation: 92/2=46
Start Sub Search at level 1: Moving to Node #0,4
Current State: 18:[8, 3, 46], Operations: ['92/2=46']
Exploring Operation: 8-3=5, Resulting Numbers: [46, 5]
Generated Node #0,4,0: 18:[46, 5] Operation: 8-3=5
Exploring Operation: 3+46=49, Resulting Numbers: [8, 49]
Generated Node #0,4,1: 18:[8, 49] Operation: 3+46=49
Exploring Operation: 46-8=38, Resulting Numbers: [3, 38]
Generated Node #0,4,2: 18:[3, 38] Operation: 46-8=38
Exploring Operation: 8+3=11, Resulting Numbers: [46, 11]
Generated Node #0,4,3: 18:[46, 11] Operation: 8+3=11
Exploring Operation: 46-3=43, Resulting Numbers: [8, 43]
Generated Node #0,4,4: 18:[8, 43] Operation: 46-3=43
Moving to Node #0,4,2
Current State: 18:[3, 38], Operations: ['92/2=46', '46-8=38']
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,18 unequal: No Solution
Exploring Operation: 3*38=114, Resulting Numbers: [114]
114,18 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Moving to Node #0,4,4
Current State: 18:[8, 43], Operations: ['92/2=46', '46-3=43']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 8+43=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 8*43=344, Resulting Numbers: [344]
344,18 unequal: No Solution
Moving to Node #0,4,0
Current State: 18:[46, 5], Operations: ['92/2=46', '8-3=5']
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,18 unequal: No Solution
Exploring Operation: 46*5=230, Resulting Numbers: [230]
230,18 unequal: No Solution
Exploring Operation: 46+5=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Moving to Node #0,4,3
Current State: 18:[46, 11], Operations: ['92/2=46', '8+3=11']
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,18 unequal: No Solution
Exploring Operation: 46+11=57, Resulting Numbers: [57]
57,18 unequal: No Solution
Exploring Operation: 46*11=506, Resulting Numbers: [506]
506,18 unequal: No Solution
Moving to Node #0,4,1
Current State: 18:[8, 49], Operations: ['92/2=46', '3+46=49']
Exploring Operation: 8*49=392, Resulting Numbers: [392]
392,18 unequal: No Solution
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,18 unequal: No Solution
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,18 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
Current State: 18:[3, 2, 84], Operations: ['92-8=84']
Exploring Operation: 84-3=81, Resulting Numbers: [2, 81]
Generated Node #0,1,0: 18:[2, 81] Operation: 84-3=81
Exploring Operation: 3*2=6, Resulting Numbers: [84, 6]
Generated Node #0,1,1: 18:[84, 6] Operation: 3*2=6
Exploring Operation: 84/3=28, Resulting Numbers: [2, 28]
Generated Node #0,1,2: 18:[2, 28] Operation: 84/3=28
Exploring Operation: 84-2=82, Resulting Numbers: [3, 82]
Generated Node #0,1,3: 18:[3, 82] Operation: 84-2=82
Exploring Operation: 84/2=42, Resulting Numbers: [3, 42]
Generated Node #0,1,4: 18:[3, 42] Operation: 84/2=42
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 18:[2, 28], Operations: ['92-8=84', '84/3=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,18 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,18 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,18 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 18:[3, 42], Operations: ['92-8=84', '84/2=42']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Exploring Operation: 3*42=126, Resulting Numbers: [126]
126,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 18:[2, 81], Operations: ['92-8=84', '84-3=81']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,18 unequal: No Solution
Exploring Operation: 2*81=162, Resulting Numbers: [162]
162,18 unequal: No Solution
Exploring Operation: 2+81=83, Resulting Numbers: [83]
83,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 18:[3, 82], Operations: ['92-8=84', '84-2=82']
Exploring Operation: 3*82=246, Resulting Numbers: [246]
246,18 unequal: No Solution
Exploring Operation: 3+82=85, Resulting Numbers: [85]
85,18 unequal: No Solution
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 18:[84, 6], Operations: ['92-8=84', '3*2=6']
Exploring Operation: 84-6=78, Resulting Numbers: [78]
78,18 unequal: No Solution
Exploring Operation: 84+6=90, Resulting Numbers: [90]
90,18 unequal: No Solution
Exploring Operation: 84*6=504, Resulting Numbers: [504]
504,18 unequal: No Solution
Exploring Operation: 84/6=14, Resulting Numbers: [14]
14,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[8, 2, 89], Operations: ['92-3=89']
Exploring Operation: 89-8=81, Resulting Numbers: [2, 81]
Generated Node #0,0,0: 18:[2, 81] Operation: 89-8=81
Exploring Operation: 8-2=6, Resulting Numbers: [89, 6]
Generated Node #0,0,1: 18:[89, 6] Operation: 8-2=6
Exploring Operation: 8/2=4, Resulting Numbers: [89, 4]
Generated Node #0,0,2: 18:[89, 4] Operation: 8/2=4
Exploring Operation: 89-2=87, Resulting Numbers: [8, 87]
Generated Node #0,0,3: 18:[8, 87] Operation: 89-2=87
Exploring Operation: 8+2=10, Resulting Numbers: [89, 10]
Generated Node #0,0,4: 18:[89, 10] Operation: 8+2=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 18:[2, 81], Operations: ['92-3=89', '89-8=81']
Exploring Operation: 2+81=83, Resulting Numbers: [83]
83,18 unequal: No Solution
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,18 unequal: No Solution
Exploring Operation: 2*81=162, Resulting Numbers: [162]
162,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 18:[8, 87], Operations: ['92-3=89', '89-2=87']
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,18 unequal: No Solution
Exploring Operation: 8+87=95, Resulting Numbers: [95]
95,18 unequal: No Solution
Exploring Operation: 8*87=696, Resulting Numbers: [696]
696,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 18:[89, 6], Operations: ['92-3=89', '8-2=6']
Exploring Operation: 89*6=534, Resulting Numbers: [534]
534,18 unequal: No Solution
Exploring Operation: 89-6=83, Resulting Numbers: [83]
83,18 unequal: No Solution
Exploring Operation: 89+6=95, Resulting Numbers: [95]
95,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 18:[89, 4], Operations: ['92-3=89', '8/2=4']
Exploring Operation: 89*4=356, Resulting Numbers: [356]
356,18 unequal: No Solution
Exploring Operation: 89+4=93, Resulting Numbers: [93]
93,18 unequal: No Solution
Exploring Operation: 89-4=85, Resulting Numbers: [85]
85,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 18:[89, 10], Operations: ['92-3=89', '8+2=10']
Exploring Operation: 89-10=79, Resulting Numbers: [79]
79,18 unequal: No Solution
Exploring Operation: 89*10=890, Resulting Numbers: [890]
890,18 unequal: No Solution
Exploring Operation: 89+10=99, Resulting Numbers: [99]
99,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 18:[8, 3, 90], Operations: ['92-2=90']
Exploring Operation: 90-3=87, Resulting Numbers: [8, 87]
Generated Node #0,3,0: 18:[8, 87] Operation: 90-3=87
Exploring Operation: 90-8=82, Resulting Numbers: [3, 82]
Generated Node #0,3,1: 18:[3, 82] Operation: 90-8=82
Exploring Operation: 90/3=30, Resulting Numbers: [8, 30]
Generated Node #0,3,2: 18:[8, 30] Operation: 90/3=30
Exploring Operation: 8-3=5, Resulting Numbers: [90, 5]
Generated Node #0,3,3: 18:[90, 5] Operation: 8-3=5
Exploring Operation: 8+3=11, Resulting Numbers: [90, 11]
Generated Node #0,3,4: 18:[90, 11] Operation: 8+3=11
Moving to Node #0,3,2
Current State: 18:[8, 30], Operations: ['92-2=90', '90/3=30']
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Exploring Operation: 8*30=240, Resulting Numbers: [240]
240,18 unequal: No Solution
Exploring Operation: 8+30=38, Resulting Numbers: [38]
38,18 unequal: No Solution
Moving to Node #0,3,1
Current State: 18:[3, 82], Operations: ['92-2=90', '90-8=82']
Exploring Operation: 3*82=246, Resulting Numbers: [246]
246,18 unequal: No Solution
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,18 unequal: No Solution
Exploring Operation: 3+82=85, Resulting Numbers: [85]
85,18 unequal: No Solution
Moving to Node #0,3,0
Current State: 18:[8, 87], Operations: ['92-2=90', '90-3=87']
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,18 unequal: No Solution
Exploring Operation: 8*87=696, Resulting Numbers: [696]
696,18 unequal: No Solution
Exploring Operation: 8+87=95, Resulting Numbers: [95]
95,18 unequal: No Solution
Moving to Node #0,3,3
Current State: 18:[90, 5], Operations: ['92-2=90', '8-3=5']
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[8, 3, 2, 92], Operations: []
Exploring Operation: 92-2=90, Resulting Numbers: [8, 3, 90]
Generated Node #0,3: 18:[8, 3, 90] Operation: 92-2=90
Moving to Node #0,3
Current State: 18:[8, 3, 90], Operations: ['92-2=90']
Exploring Operation: 8-3=5, Resulting Numbers: [90, 5]
Generated Node #0,3,3: 18:[90, 5] Operation: 8-3=5
Moving to Node #0,3,3
Current State: 18:[90, 5], Operations: ['92-2=90', '8-3=5']
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.924479 | hs_5 | mult_heuristic |
[
57,
72,
69,
47
] | 28 | [
"72-69=3",
"57/3=19",
"47-19=28"
] | Current State: 28:[57, 72, 69, 47], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [57, 47, 3]
Generated Node #2: [57, 47, 3] from Operation: 72-69=3
Current State: 28:[57, 47, 3], Operations: ['72-69=3']
Exploring Operation: 57/3=19, Resulting Numbers: [47, 19]
Generated Node #3: [47, 19] from Operation: 57/3=19
Current State: 28:[47, 19], Operations: ['72-69=3', '57/3=19']
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[57, 72, 69, 47], Operations: []
Exploring Operation: 72-47=25, Resulting Numbers: [57, 69, 25]
Generated Node #0,0: 28:[57, 69, 25] Operation: 72-47=25
Exploring Operation: 69-57=12, Resulting Numbers: [72, 47, 12]
Generated Node #0,1: 28:[72, 47, 12] Operation: 69-57=12
Exploring Operation: 72-57=15, Resulting Numbers: [69, 47, 15]
Generated Node #0,2: 28:[69, 47, 15] Operation: 72-57=15
Exploring Operation: 69-47=22, Resulting Numbers: [57, 72, 22]
Generated Node #0,3: 28:[57, 72, 22] Operation: 69-47=22
Exploring Operation: 72-69=3, Resulting Numbers: [57, 47, 3]
Generated Node #0,4: 28:[57, 47, 3] Operation: 72-69=3
Start Sub Search at level 1: Moving to Node #0,4
Current State: 28:[57, 47, 3], Operations: ['72-69=3']
Exploring Operation: 47-3=44, Resulting Numbers: [57, 44]
Generated Node #0,4,0: 28:[57, 44] Operation: 47-3=44
Exploring Operation: 57+3=60, Resulting Numbers: [47, 60]
Generated Node #0,4,1: 28:[47, 60] Operation: 57+3=60
Exploring Operation: 57-47=10, Resulting Numbers: [3, 10]
Generated Node #0,4,2: 28:[3, 10] Operation: 57-47=10
Exploring Operation: 57/3=19, Resulting Numbers: [47, 19]
Generated Node #0,4,3: 28:[47, 19] Operation: 57/3=19
Exploring Operation: 57-3=54, Resulting Numbers: [47, 54]
Generated Node #0,4,4: 28:[47, 54] Operation: 57-3=54
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 28:[3, 10], Operations: ['72-69=3', '57-47=10']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 28:[47, 19], Operations: ['72-69=3', '57/3=19']
Exploring Operation: 47+19=66, Resulting Numbers: [66]
66,28 unequal: No Solution
Exploring Operation: 47*19=893, Resulting Numbers: [893]
893,28 unequal: No Solution
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[57, 72, 69, 47], Operations: []
Exploring Operation: 72-69=3, Resulting Numbers: [57, 47, 3]
Generated Node #0,4: 28:[57, 47, 3] Operation: 72-69=3
Moving to Node #0,4
Current State: 28:[57, 47, 3], Operations: ['72-69=3']
Exploring Operation: 57/3=19, Resulting Numbers: [47, 19]
Generated Node #0,4,3: 28:[47, 19] Operation: 57/3=19
Moving to Node #0,4,3
Current State: 28:[47, 19], Operations: ['72-69=3', '57/3=19']
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
52,
2,
6,
78
] | 64 | [
"52-6=46",
"78-46=32",
"2*32=64"
] | Current State: 64:[52, 2, 6, 78], Operations: []
Exploring Operation: 52-6=46, Resulting Numbers: [2, 78, 46]
Generated Node #2: [2, 78, 46] from Operation: 52-6=46
Current State: 64:[2, 78, 46], Operations: ['52-6=46']
Exploring Operation: 78-46=32, Resulting Numbers: [2, 32]
Generated Node #3: [2, 32] from Operation: 78-46=32
Current State: 64:[2, 32], Operations: ['52-6=46', '78-46=32']
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[52, 2, 6, 78], Operations: []
Exploring Operation: 78-52=26, Resulting Numbers: [2, 6, 26]
Generated Node #0,0: 64:[2, 6, 26] Operation: 78-52=26
Exploring Operation: 78/2=39, Resulting Numbers: [52, 6, 39]
Generated Node #0,1: 64:[52, 6, 39] Operation: 78/2=39
Exploring Operation: 52+6=58, Resulting Numbers: [2, 78, 58]
Generated Node #0,2: 64:[2, 78, 58] Operation: 52+6=58
Exploring Operation: 78/6=13, Resulting Numbers: [52, 2, 13]
Generated Node #0,3: 64:[52, 2, 13] Operation: 78/6=13
Exploring Operation: 78-6=72, Resulting Numbers: [52, 2, 72]
Generated Node #0,4: 64:[52, 2, 72] Operation: 78-6=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[2, 6, 26], Operations: ['78-52=26']
Exploring Operation: 26-6=20, Resulting Numbers: [2, 20]
Generated Node #0,0,0: 64:[2, 20] Operation: 26-6=20
Exploring Operation: 2+6=8, Resulting Numbers: [26, 8]
Generated Node #0,0,1: 64:[26, 8] Operation: 2+6=8
Exploring Operation: 6-2=4, Resulting Numbers: [26, 4]
Generated Node #0,0,2: 64:[26, 4] Operation: 6-2=4
Exploring Operation: 26/2=13, Resulting Numbers: [6, 13]
Generated Node #0,0,3: 64:[6, 13] Operation: 26/2=13
Exploring Operation: 6+26=32, Resulting Numbers: [2, 32]
Generated Node #0,0,4: 64:[2, 32] Operation: 6+26=32
Moving to Node #0,0,4
Current State: 64:[2, 32], Operations: ['78-52=26', '6+26=32']
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[52, 2, 6, 78], Operations: []
Exploring Operation: 78-52=26, Resulting Numbers: [2, 6, 26]
Generated Node #0,0: 64:[2, 6, 26] Operation: 78-52=26
Moving to Node #0,0
Current State: 64:[2, 6, 26], Operations: ['78-52=26']
Exploring Operation: 6+26=32, Resulting Numbers: [2, 32]
Generated Node #0,0,4: 64:[2, 32] Operation: 6+26=32
Moving to Node #0,0,4
Current State: 64:[2, 32], Operations: ['78-52=26', '6+26=32']
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
88,
56,
3,
96
] | 67 | [
"88-56=32",
"3+96=99",
"99-32=67"
] | Current State: 67:[88, 56, 3, 96], Operations: []
Exploring Operation: 88-56=32, Resulting Numbers: [3, 96, 32]
Generated Node #2: [3, 96, 32] from Operation: 88-56=32
Current State: 67:[3, 96, 32], Operations: ['88-56=32']
Exploring Operation: 3+96=99, Resulting Numbers: [32, 99]
Generated Node #3: [32, 99] from Operation: 3+96=99
Current State: 67:[32, 99], Operations: ['88-56=32', '3+96=99']
Exploring Operation: 99-32=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[88, 56, 3, 96], Operations: []
Exploring Operation: 88-3=85, Resulting Numbers: [56, 96, 85]
Generated Node #0,0: 67:[56, 96, 85] Operation: 88-3=85
Exploring Operation: 88+3=91, Resulting Numbers: [56, 96, 91]
Generated Node #0,1: 67:[56, 96, 91] Operation: 88+3=91
Exploring Operation: 56+3=59, Resulting Numbers: [88, 96, 59]
Generated Node #0,2: 67:[88, 96, 59] Operation: 56+3=59
Exploring Operation: 96-3=93, Resulting Numbers: [88, 56, 93]
Generated Node #0,3: 67:[88, 56, 93] Operation: 96-3=93
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[56, 96, 85], Operations: ['88-3=85']
Exploring Operation: 96-85=11, Resulting Numbers: [56, 11]
Generated Node #0,0,0: 67:[56, 11] Operation: 96-85=11
Exploring Operation: 56+96=152, Resulting Numbers: [85, 152]
Generated Node #0,0,1: 67:[85, 152] Operation: 56+96=152
Exploring Operation: 96-56=40, Resulting Numbers: [85, 40]
Generated Node #0,0,2: 67:[85, 40] Operation: 96-56=40
Exploring Operation: 85-56=29, Resulting Numbers: [96, 29]
Generated Node #0,0,3: 67:[96, 29] Operation: 85-56=29
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 67:[85, 40], Operations: ['88-3=85', '96-56=40']
Exploring Operation: 85*40=3400, Resulting Numbers: [3400]
3400,67 unequal: No Solution
Exploring Operation: 85+40=125, Resulting Numbers: [125]
125,67 unequal: No Solution
Exploring Operation: 85-40=45, Resulting Numbers: [45]
45,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[56, 11], Operations: ['88-3=85', '96-85=11']
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,67 unequal: No Solution
Exploring Operation: 56*11=616, Resulting Numbers: [616]
616,67 unequal: No Solution
Exploring Operation: 56+11=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[88, 56, 3, 96], Operations: []
Exploring Operation: 88-3=85, Resulting Numbers: [56, 96, 85]
Generated Node #0,0: 67:[56, 96, 85] Operation: 88-3=85
Moving to Node #0,0
Current State: 67:[56, 96, 85], Operations: ['88-3=85']
Exploring Operation: 96-85=11, Resulting Numbers: [56, 11]
Generated Node #0,0,0: 67:[56, 11] Operation: 96-85=11
Moving to Node #0,0,0
Current State: 67:[56, 11], Operations: ['88-3=85', '96-85=11']
Exploring Operation: 56+11=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_4 | mult_heuristic |
[
19,
73,
12,
62
] | 96 | [
"73-19=54",
"62-54=8",
"12*8=96"
] | Current State: 96:[19, 73, 12, 62], Operations: []
Exploring Operation: 73-19=54, Resulting Numbers: [12, 62, 54]
Generated Node #2: [12, 62, 54] from Operation: 73-19=54
Current State: 96:[12, 62, 54], Operations: ['73-19=54']
Exploring Operation: 62-54=8, Resulting Numbers: [12, 8]
Generated Node #3: [12, 8] from Operation: 62-54=8
Current State: 96:[12, 8], Operations: ['73-19=54', '62-54=8']
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[19, 73, 12, 62], Operations: []
Exploring Operation: 19+73=92, Resulting Numbers: [12, 62, 92]
Generated Node #0,0: 96:[12, 62, 92] Operation: 19+73=92
Exploring Operation: 73-62=11, Resulting Numbers: [19, 12, 11]
Generated Node #0,1: 96:[19, 12, 11] Operation: 73-62=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[19, 12, 11], Operations: ['73-62=11']
Exploring Operation: 19-11=8, Resulting Numbers: [12, 8]
Generated Node #0,1,0: 96:[12, 8] Operation: 19-11=8
Exploring Operation: 19+12=31, Resulting Numbers: [11, 31]
Generated Node #0,1,1: 96:[11, 31] Operation: 19+12=31
Moving to Node #0,1,0
Current State: 96:[12, 8], Operations: ['73-62=11', '19-11=8']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,96 unequal: No Solution
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[19, 73, 12, 62], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [19, 12, 11]
Generated Node #0,1: 96:[19, 12, 11] Operation: 73-62=11
Moving to Node #0,1
Current State: 96:[19, 12, 11], Operations: ['73-62=11']
Exploring Operation: 19-11=8, Resulting Numbers: [12, 8]
Generated Node #0,1,0: 96:[12, 8] Operation: 19-11=8
Moving to Node #0,1,0
Current State: 96:[12, 8], Operations: ['73-62=11', '19-11=8']
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
4,
72,
45,
8
] | 61 | [
"72-8=64",
"64/4=16",
"45+16=61"
] | Current State: 61:[4, 72, 45, 8], Operations: []
Exploring Operation: 72-8=64, Resulting Numbers: [4, 45, 64]
Generated Node #2: [4, 45, 64] from Operation: 72-8=64
Current State: 61:[4, 45, 64], Operations: ['72-8=64']
Exploring Operation: 64/4=16, Resulting Numbers: [45, 16]
Generated Node #3: [45, 16] from Operation: 64/4=16
Current State: 61:[45, 16], Operations: ['72-8=64', '64/4=16']
Exploring Operation: 45+16=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[4, 72, 45, 8], Operations: []
Exploring Operation: 4+8=12, Resulting Numbers: [72, 45, 12]
Generated Node #0,0: 61:[72, 45, 12] Operation: 4+8=12
Exploring Operation: 4+45=49, Resulting Numbers: [72, 8, 49]
Generated Node #0,1: 61:[72, 8, 49] Operation: 4+45=49
Exploring Operation: 72-4=68, Resulting Numbers: [45, 8, 68]
Generated Node #0,2: 61:[45, 8, 68] Operation: 72-4=68
Exploring Operation: 4*8=32, Resulting Numbers: [72, 45, 32]
Generated Node #0,3: 61:[72, 45, 32] Operation: 4*8=32
Moving to Node #0,3
Current State: 61:[72, 45, 32], Operations: ['4*8=32']
Exploring Operation: 72-32=40, Resulting Numbers: [45, 40]
Generated Node #0,3,0: 61:[45, 40] Operation: 72-32=40
Exploring Operation: 45+32=77, Resulting Numbers: [72, 77]
Generated Node #0,3,1: 61:[72, 77] Operation: 45+32=77
Exploring Operation: 45-32=13, Resulting Numbers: [72, 13]
Generated Node #0,3,2: 61:[72, 13] Operation: 45-32=13
Exploring Operation: 72+32=104, Resulting Numbers: [45, 104]
Generated Node #0,3,3: 61:[45, 104] Operation: 72+32=104
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 61:[72, 77], Operations: ['4*8=32', '45+32=77']
Exploring Operation: 72+77=149, Resulting Numbers: [149]
149,61 unequal: No Solution
Exploring Operation: 77-72=5, Resulting Numbers: [5]
5,61 unequal: No Solution
Exploring Operation: 72*77=5544, Resulting Numbers: [5544]
5544,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 61:[45, 40], Operations: ['4*8=32', '72-32=40']
Exploring Operation: 45*40=1800, Resulting Numbers: [1800]
1800,61 unequal: No Solution
Exploring Operation: 45-40=5, Resulting Numbers: [5]
5,61 unequal: No Solution
Exploring Operation: 45+40=85, Resulting Numbers: [85]
85,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 61:[72, 13], Operations: ['4*8=32', '45-32=13']
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,61 unequal: No Solution
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 72*13=936, Resulting Numbers: [936]
936,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 61:[45, 104], Operations: ['4*8=32', '72+32=104']
Exploring Operation: 45+104=149, Resulting Numbers: [149]
149,61 unequal: No Solution
Exploring Operation: 104-45=59, Resulting Numbers: [59]
59,61 unequal: No Solution
Exploring Operation: 45*104=4680, Resulting Numbers: [4680]
4680,61 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: 61:[72, 8, 49], Operations: ['4+45=49']
Exploring Operation: 49-8=41, Resulting Numbers: [72, 41]
Generated Node #0,1,0: 61:[72, 41] Operation: 49-8=41
Exploring Operation: 72+8=80, Resulting Numbers: [49, 80]
Generated Node #0,1,1: 61:[49, 80] Operation: 72+8=80
Exploring Operation: 8+49=57, Resulting Numbers: [72, 57]
Generated Node #0,1,2: 61:[72, 57] Operation: 8+49=57
Exploring Operation: 72-8=64, Resulting Numbers: [49, 64]
Generated Node #0,1,3: 61:[49, 64] Operation: 72-8=64
Moving to Node #0,0
Current State: 61:[72, 45, 12], Operations: ['4+8=12']
Exploring Operation: 45-12=33, Resulting Numbers: [72, 33]
Generated Node #0,0,0: 61:[72, 33] Operation: 45-12=33
Exploring Operation: 72+12=84, Resulting Numbers: [45, 84]
Generated Node #0,0,1: 61:[45, 84] Operation: 72+12=84
Exploring Operation: 72-12=60, Resulting Numbers: [45, 60]
Generated Node #0,0,2: 61:[45, 60] Operation: 72-12=60
Exploring Operation: 45+12=57, Resulting Numbers: [72, 57]
Generated Node #0,0,3: 61:[72, 57] Operation: 45+12=57
Moving to Node #0,2
Current State: 61:[45, 8, 68], Operations: ['72-4=68']
Exploring Operation: 8+68=76, Resulting Numbers: [45, 76]
Generated Node #0,2,0: 61:[45, 76] Operation: 8+68=76
Exploring Operation: 45+8=53, Resulting Numbers: [68, 53]
Generated Node #0,2,1: 61:[68, 53] Operation: 45+8=53
Exploring Operation: 45-8=37, Resulting Numbers: [68, 37]
Generated Node #0,2,2: 61:[68, 37] Operation: 45-8=37
Exploring Operation: 68-8=60, Resulting Numbers: [45, 60]
Generated Node #0,2,3: 61:[45, 60] Operation: 68-8=60
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 61:[68, 53], Operations: ['72-4=68', '45+8=53']
Exploring Operation: 68*53=3604, Resulting Numbers: [3604]
3604,61 unequal: No Solution
Exploring Operation: 68-53=15, Resulting Numbers: [15]
15,61 unequal: No Solution
Exploring Operation: 68+53=121, Resulting Numbers: [121]
121,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 61:[45, 60], Operations: ['72-4=68', '68-8=60']
Exploring Operation: 45*60=2700, Resulting Numbers: [2700]
2700,61 unequal: No Solution
Exploring Operation: 45+60=105, Resulting Numbers: [105]
105,61 unequal: No Solution
Exploring Operation: 60-45=15, Resulting Numbers: [15]
15,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 61:[45, 76], Operations: ['72-4=68', '8+68=76']
Exploring Operation: 45*76=3420, Resulting Numbers: [3420]
3420,61 unequal: No Solution
Exploring Operation: 45+76=121, Resulting Numbers: [121]
121,61 unequal: No Solution
Exploring Operation: 76-45=31, Resulting Numbers: [31]
31,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 61:[68, 37], Operations: ['72-4=68', '45-8=37']
Exploring Operation: 68+37=105, Resulting Numbers: [105]
105,61 unequal: No Solution
Exploring Operation: 68*37=2516, Resulting Numbers: [2516]
2516,61 unequal: No Solution
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 61:[72, 57], Operations: ['4+45=49', '8+49=57']
Exploring Operation: 72*57=4104, Resulting Numbers: [4104]
4104,61 unequal: No Solution
Exploring Operation: 72+57=129, Resulting Numbers: [129]
129,61 unequal: No Solution
Exploring Operation: 72-57=15, Resulting Numbers: [15]
15,61 unequal: No Solution
Moving to Node #0,1,3
Current State: 61:[49, 64], Operations: ['4+45=49', '72-8=64']
Exploring Operation: 49+64=113, Resulting Numbers: [113]
113,61 unequal: No Solution
Exploring Operation: 49*64=3136, Resulting Numbers: [3136]
3136,61 unequal: No Solution
Exploring Operation: 64-49=15, Resulting Numbers: [15]
15,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[72, 57], Operations: ['4+8=12', '45+12=57']
Exploring Operation: 72-57=15, Resulting Numbers: [15]
15,61 unequal: No Solution
Exploring Operation: 72*57=4104, Resulting Numbers: [4104]
4104,61 unequal: No Solution
Exploring Operation: 72+57=129, Resulting Numbers: [129]
129,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[45, 60], Operations: ['4+8=12', '72-12=60']
Exploring Operation: 45+60=105, Resulting Numbers: [105]
105,61 unequal: No Solution
Exploring Operation: 45*60=2700, Resulting Numbers: [2700]
2700,61 unequal: No Solution
Exploring Operation: 60-45=15, Resulting Numbers: [15]
15,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[72, 41], Operations: ['4+45=49', '49-8=41']
Exploring Operation: 72*41=2952, Resulting Numbers: [2952]
2952,61 unequal: No Solution
Exploring Operation: 72+41=113, Resulting Numbers: [113]
113,61 unequal: No Solution
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[49, 80], Operations: ['4+45=49', '72+8=80']
Exploring Operation: 80-49=31, Resulting Numbers: [31]
31,61 unequal: No Solution
Exploring Operation: 49*80=3920, Resulting Numbers: [3920]
3920,61 unequal: No Solution
Exploring Operation: 49+80=129, Resulting Numbers: [129]
129,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[72, 33], Operations: ['4+8=12', '45-12=33']
Exploring Operation: 72-33=39, Resulting Numbers: [39]
39,61 unequal: No Solution
Exploring Operation: 72*33=2376, Resulting Numbers: [2376]
2376,61 unequal: No Solution
Exploring Operation: 72+33=105, Resulting Numbers: [105]
105,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[45, 84], Operations: ['4+8=12', '72+12=84']
Exploring Operation: 45+84=129, Resulting Numbers: [129]
129,61 unequal: No Solution
Exploring Operation: 84-45=39, Resulting Numbers: [39]
39,61 unequal: No Solution
Exploring Operation: 45*84=3780, Resulting Numbers: [3780]
3780,61 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
24,
11,
82,
48
] | 91 | [
"48/24=2",
"11+82=93",
"93-2=91"
] | Current State: 91:[24, 11, 82, 48], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [11, 82, 2]
Generated Node #2: [11, 82, 2] from Operation: 48/24=2
Current State: 91:[11, 82, 2], Operations: ['48/24=2']
Exploring Operation: 11+82=93, Resulting Numbers: [2, 93]
Generated Node #3: [2, 93] from Operation: 11+82=93
Current State: 91:[2, 93], Operations: ['48/24=2', '11+82=93']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[24, 11, 82, 48], Operations: []
Exploring Operation: 48-24=24, Resulting Numbers: [11, 82, 24]
Generated Node #0,0: 91:[11, 82, 24] Operation: 48-24=24
Exploring Operation: 48/24=2, Resulting Numbers: [11, 82, 2]
Generated Node #0,1: 91:[11, 82, 2] Operation: 48/24=2
Exploring Operation: 24+48=72, Resulting Numbers: [11, 82, 72]
Generated Node #0,2: 91:[11, 82, 72] Operation: 24+48=72
Moving to Node #0,1
Current State: 91:[11, 82, 2], Operations: ['48/24=2']
Exploring Operation: 11+82=93, Resulting Numbers: [2, 93]
Generated Node #0,1,0: 91:[2, 93] Operation: 11+82=93
Exploring Operation: 82+2=84, Resulting Numbers: [11, 84]
Generated Node #0,1,1: 91:[11, 84] Operation: 82+2=84
Exploring Operation: 11+2=13, Resulting Numbers: [82, 13]
Generated Node #0,1,2: 91:[82, 13] Operation: 11+2=13
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 91:[2, 93], Operations: ['48/24=2', '11+82=93']
Exploring Operation: 2*93=186, Resulting Numbers: [186]
186,91 unequal: No Solution
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[24, 11, 82, 48], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [11, 82, 2]
Generated Node #0,1: 91:[11, 82, 2] Operation: 48/24=2
Moving to Node #0,1
Current State: 91:[11, 82, 2], Operations: ['48/24=2']
Exploring Operation: 11+82=93, Resulting Numbers: [2, 93]
Generated Node #0,1,0: 91:[2, 93] Operation: 11+82=93
Moving to Node #0,1,0
Current State: 91:[2, 93], Operations: ['48/24=2', '11+82=93']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
77,
72,
48,
16
] | 32 | [
"77-72=5",
"16*5=80",
"80-48=32"
] | Current State: 32:[77, 72, 48, 16], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [48, 16, 5]
Generated Node #2: [48, 16, 5] from Operation: 77-72=5
Current State: 32:[48, 16, 5], Operations: ['77-72=5']
Exploring Operation: 16*5=80, Resulting Numbers: [48, 80]
Generated Node #3: [48, 80] from Operation: 16*5=80
Current State: 32:[48, 80], Operations: ['77-72=5', '16*5=80']
Exploring Operation: 80-48=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[77, 72, 48, 16], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [48, 16, 5]
Generated Node #0,0: 32:[48, 16, 5] Operation: 77-72=5
Moving to Node #0,0
Current State: 32:[48, 16, 5], Operations: ['77-72=5']
Exploring Operation: 48-16=32, Resulting Numbers: [5, 32]
Generated Node #0,0,0: 32:[5, 32] Operation: 48-16=32
Moving to Node #0,0,0
Current State: 32:[5, 32], Operations: ['77-72=5', '48-16=32']
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,32 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
20,
2,
24,
4
] | 68 | [
"20*2=40",
"24+4=28",
"40+28=68"
] | Current State: 68:[20, 2, 24, 4], Operations: []
Exploring Operation: 20*2=40, Resulting Numbers: [24, 4, 40]
Generated Node #2: [24, 4, 40] from Operation: 20*2=40
Current State: 68:[24, 4, 40], Operations: ['20*2=40']
Exploring Operation: 24+4=28, Resulting Numbers: [40, 28]
Generated Node #3: [40, 28] from Operation: 24+4=28
Current State: 68:[40, 28], Operations: ['20*2=40', '24+4=28']
Exploring Operation: 40+28=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[20, 2, 24, 4], Operations: []
Exploring Operation: 20-2=18, Resulting Numbers: [24, 4, 18]
Generated Node #0,0: 68:[24, 4, 18] Operation: 20-2=18
Exploring Operation: 24-20=4, Resulting Numbers: [2, 4, 4]
Generated Node #0,1: 68:[2, 4, 4] Operation: 24-20=4
Exploring Operation: 24-4=20, Resulting Numbers: [20, 2, 20]
Generated Node #0,2: 68:[20, 2, 20] Operation: 24-4=20
Exploring Operation: 24/4=6, Resulting Numbers: [20, 2, 6]
Generated Node #0,3: 68:[20, 2, 6] Operation: 24/4=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[2, 4, 4], Operations: ['24-20=4']
Exploring Operation: 4/2=2, Resulting Numbers: [4, 2]
Generated Node #0,1,0: 68:[4, 2] Operation: 4/2=2
Exploring Operation: 4-2=2, Resulting Numbers: [4, 2]
Generated Node #0,1,1: 68:[4, 2] Operation: 4-2=2
Exploring Operation: 4/2=2, Resulting Numbers: [4, 2]
Generated Node #0,1,2: 68:[4, 2] Operation: 4/2=2
Exploring Operation: 4-2=2, Resulting Numbers: [4, 2]
Generated Node #0,1,3: 68:[4, 2] Operation: 4-2=2
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 68:[4, 2], Operations: ['24-20=4', '4/2=2']
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,68 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,68 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,68 unequal: No Solution
No 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: 68:[4, 2], Operations: ['24-20=4', '4-2=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,68 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,68 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,68 unequal: No Solution
No 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: 68:[4, 2], Operations: ['24-20=4', '4/2=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,68 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,68 unequal: No Solution
No 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: 68:[4, 2], Operations: ['24-20=4', '4-2=2']
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,68 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,68 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,68 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: 68:[20, 2, 6], Operations: ['24/4=6']
Exploring Operation: 20-2=18, Resulting Numbers: [6, 18]
Generated Node #0,3,0: 68:[6, 18] Operation: 20-2=18
Exploring Operation: 6/2=3, Resulting Numbers: [20, 3]
Generated Node #0,3,1: 68:[20, 3] Operation: 6/2=3
Exploring Operation: 20-6=14, Resulting Numbers: [2, 14]
Generated Node #0,3,2: 68:[2, 14] Operation: 20-6=14
Exploring Operation: 6-2=4, Resulting Numbers: [20, 4]
Generated Node #0,3,3: 68:[20, 4] Operation: 6-2=4
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 68:[6, 18], Operations: ['24/4=6', '20-2=18']
Exploring Operation: 6*18=108, Resulting Numbers: [108]
108,68 unequal: No Solution
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,68 unequal: No Solution
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,68 unequal: No Solution
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,68 unequal: No Solution
No 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: 68:[2, 14], Operations: ['24/4=6', '20-6=14']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,68 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,68 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,68 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,68 unequal: No Solution
No 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: 68:[20, 4], Operations: ['24/4=6', '6-2=4']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,68 unequal: No Solution
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,68 unequal: No Solution
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,68 unequal: No Solution
No 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: 68:[20, 3], Operations: ['24/4=6', '6/2=3']
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,68 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,68 unequal: No Solution
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,68 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: 68:[20, 2, 20], Operations: ['24-4=20']
Exploring Operation: 20-2=18, Resulting Numbers: [20, 18]
Generated Node #0,2,0: 68:[20, 18] Operation: 20-2=18
Exploring Operation: 20-20=0, Resulting Numbers: [2, 0]
Generated Node #0,2,1: 68:[2, 0] Operation: 20-20=0
Exploring Operation: 20/20=1, Resulting Numbers: [2, 1]
Generated Node #0,2,2: 68:[2, 1] Operation: 20/20=1
Exploring Operation: 20-2=18, Resulting Numbers: [20, 18]
Generated Node #0,2,3: 68:[20, 18] Operation: 20-2=18
Moving to Node #0,2,2
Current State: 68:[2, 1], Operations: ['24-4=20', '20/20=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,68 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,68 unequal: No Solution
Moving to Node #0,2,1
Current State: 68:[2, 0], Operations: ['24-4=20', '20-20=0']
Exploring Operation: 2+0=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 2-0=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 2*0=0, Resulting Numbers: [0]
0,68 unequal: No Solution
Moving to Node #0,2,3
Current State: 68:[20, 18], Operations: ['24-4=20', '20-2=18']
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Exploring Operation: 20*18=360, Resulting Numbers: [360]
360,68 unequal: No Solution
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Moving to Node #0,2,0
Current State: 68:[20, 18], Operations: ['24-4=20', '20-2=18']
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Exploring Operation: 20*18=360, Resulting Numbers: [360]
360,68 unequal: No Solution
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,68 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
Current State: 68:[24, 4, 18], Operations: ['20-2=18']
Exploring Operation: 24+4=28, Resulting Numbers: [18, 28]
Generated Node #0,0,0: 68:[18, 28] Operation: 24+4=28
Exploring Operation: 24/4=6, Resulting Numbers: [18, 6]
Generated Node #0,0,1: 68:[18, 6] Operation: 24/4=6
Exploring Operation: 24-18=6, Resulting Numbers: [4, 6]
Generated Node #0,0,2: 68:[4, 6] Operation: 24-18=6
Exploring Operation: 24-4=20, Resulting Numbers: [18, 20]
Generated Node #0,0,3: 68:[18, 20] Operation: 24-4=20
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 68:[4, 6], Operations: ['20-2=18', '24-18=6']
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,68 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,68 unequal: No Solution
No 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: 68:[18, 6], Operations: ['20-2=18', '24/4=6']
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,68 unequal: No Solution
Exploring Operation: 18*6=108, Resulting Numbers: [108]
108,68 unequal: No Solution
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,68 unequal: No Solution
Exploring Operation: 18+6=24, Resulting Numbers: [24]
24,68 unequal: No Solution
No 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: 68:[18, 20], Operations: ['20-2=18', '24-4=20']
Exploring Operation: 18*20=360, Resulting Numbers: [360]
360,68 unequal: No Solution
Exploring Operation: 18+20=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,68 unequal: No Solution
No 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: 68:[18, 28], Operations: ['20-2=18', '24+4=28']
Exploring Operation: 18+28=46, Resulting Numbers: [46]
46,68 unequal: No Solution
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,68 unequal: No Solution
Exploring Operation: 18*28=504, Resulting Numbers: [504]
504,68 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 |
[
24,
55,
37,
10
] | 16 | [
"55-24=31",
"37+10=47",
"47-31=16"
] | Current State: 16:[24, 55, 37, 10], Operations: []
Exploring Operation: 55-24=31, Resulting Numbers: [37, 10, 31]
Generated Node #2: [37, 10, 31] from Operation: 55-24=31
Current State: 16:[37, 10, 31], Operations: ['55-24=31']
Exploring Operation: 37+10=47, Resulting Numbers: [31, 47]
Generated Node #3: [31, 47] from Operation: 37+10=47
Current State: 16:[31, 47], Operations: ['55-24=31', '37+10=47']
Exploring Operation: 47-31=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[24, 55, 37, 10], Operations: []
Exploring Operation: 55-37=18, Resulting Numbers: [24, 10, 18]
Generated Node #0,0: 16:[24, 10, 18] Operation: 55-37=18
Moving to Node #0,0
Current State: 16:[24, 10, 18], Operations: ['55-37=18']
Exploring Operation: 24-10=14, Resulting Numbers: [18, 14]
Generated Node #0,0,0: 16:[18, 14] Operation: 24-10=14
Moving to Node #0,0,0
Current State: 16:[18, 14], Operations: ['55-37=18', '24-10=14']
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,16 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
87,
4,
89,
12
] | 16 | [
"89-87=2",
"12-4=8",
"2*8=16"
] | Current State: 16:[87, 4, 89, 12], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [4, 12, 2]
Generated Node #2: [4, 12, 2] from Operation: 89-87=2
Current State: 16:[4, 12, 2], Operations: ['89-87=2']
Exploring Operation: 12-4=8, Resulting Numbers: [2, 8]
Generated Node #3: [2, 8] from Operation: 12-4=8
Current State: 16:[2, 8], Operations: ['89-87=2', '12-4=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[87, 4, 89, 12], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [4, 12, 2]
Generated Node #0,0: 16:[4, 12, 2] Operation: 89-87=2
Moving to Node #0,0
Current State: 16:[4, 12, 2], Operations: ['89-87=2']
Exploring Operation: 4+12=16, Resulting Numbers: [2, 16]
Generated Node #0,0,0: 16:[2, 16] Operation: 4+12=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 16:[2, 16], Operations: ['89-87=2', '4+12=16']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,16 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 |
[
41,
78,
14,
83
] | 32 | [
"78-41=37",
"83-14=69",
"69-37=32"
] | Current State: 32:[41, 78, 14, 83], Operations: []
Exploring Operation: 78-41=37, Resulting Numbers: [14, 83, 37]
Generated Node #2: [14, 83, 37] from Operation: 78-41=37
Current State: 32:[14, 83, 37], Operations: ['78-41=37']
Exploring Operation: 83-14=69, Resulting Numbers: [37, 69]
Generated Node #3: [37, 69] from Operation: 83-14=69
Current State: 32:[37, 69], Operations: ['78-41=37', '83-14=69']
Exploring Operation: 69-37=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[41, 78, 14, 83], Operations: []
Exploring Operation: 83-41=42, Resulting Numbers: [78, 14, 42]
Generated Node #0,0: 32:[78, 14, 42] Operation: 83-41=42
Exploring Operation: 83-78=5, Resulting Numbers: [41, 14, 5]
Generated Node #0,1: 32:[41, 14, 5] Operation: 83-78=5
Exploring Operation: 78-41=37, Resulting Numbers: [14, 83, 37]
Generated Node #0,2: 32:[14, 83, 37] Operation: 78-41=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[41, 14, 5], Operations: ['83-78=5']
Exploring Operation: 41-14=27, Resulting Numbers: [5, 27]
Generated Node #0,1,0: 32:[5, 27] Operation: 41-14=27
Exploring Operation: 14-5=9, Resulting Numbers: [41, 9]
Generated Node #0,1,1: 32:[41, 9] Operation: 14-5=9
Exploring Operation: 41-5=36, Resulting Numbers: [14, 36]
Generated Node #0,1,2: 32:[14, 36] Operation: 41-5=36
Moving to Node #0,1,0
Current State: 32:[5, 27], Operations: ['83-78=5', '41-14=27']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,32 unequal: No Solution
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[41, 78, 14, 83], Operations: []
Exploring Operation: 83-78=5, Resulting Numbers: [41, 14, 5]
Generated Node #0,1: 32:[41, 14, 5] Operation: 83-78=5
Moving to Node #0,1
Current State: 32:[41, 14, 5], Operations: ['83-78=5']
Exploring Operation: 41-14=27, Resulting Numbers: [5, 27]
Generated Node #0,1,0: 32:[5, 27] Operation: 41-14=27
Moving to Node #0,1,0
Current State: 32:[5, 27], Operations: ['83-78=5', '41-14=27']
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
78,
21,
23,
8
] | 68 | [
"78+21=99",
"23+8=31",
"99-31=68"
] | Current State: 68:[78, 21, 23, 8], Operations: []
Exploring Operation: 78+21=99, Resulting Numbers: [23, 8, 99]
Generated Node #2: [23, 8, 99] from Operation: 78+21=99
Current State: 68:[23, 8, 99], Operations: ['78+21=99']
Exploring Operation: 23+8=31, Resulting Numbers: [99, 31]
Generated Node #3: [99, 31] from Operation: 23+8=31
Current State: 68:[99, 31], Operations: ['78+21=99', '23+8=31']
Exploring Operation: 99-31=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[78, 21, 23, 8], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [78, 8, 2]
Generated Node #0,0: 68:[78, 8, 2] Operation: 23-21=2
Exploring Operation: 78-8=70, Resulting Numbers: [21, 23, 70]
Generated Node #0,1: 68:[21, 23, 70] Operation: 78-8=70
Moving to Node #0,1
Current State: 68:[21, 23, 70], Operations: ['78-8=70']
Exploring Operation: 23-21=2, Resulting Numbers: [70, 2]
Generated Node #0,1,0: 68:[70, 2] Operation: 23-21=2
Exploring Operation: 21+23=44, Resulting Numbers: [70, 44]
Generated Node #0,1,1: 68:[70, 44] Operation: 21+23=44
Moving to Node #0,0
Current State: 68:[78, 8, 2], Operations: ['23-21=2']
Exploring Operation: 78/2=39, Resulting Numbers: [8, 39]
Generated Node #0,0,0: 68:[8, 39] Operation: 78/2=39
Exploring Operation: 78-8=70, Resulting Numbers: [2, 70]
Generated Node #0,0,1: 68:[2, 70] Operation: 78-8=70
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 68:[2, 70], Operations: ['23-21=2', '78-8=70']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[78, 21, 23, 8], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [78, 8, 2]
Generated Node #0,0: 68:[78, 8, 2] Operation: 23-21=2
Moving to Node #0,0
Current State: 68:[78, 8, 2], Operations: ['23-21=2']
Exploring Operation: 78-8=70, Resulting Numbers: [2, 70]
Generated Node #0,0,1: 68:[2, 70] Operation: 78-8=70
Moving to Node #0,0,1
Current State: 68:[2, 70], Operations: ['23-21=2', '78-8=70']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
89,
52,
92,
20
] | 29 | [
"89+52=141",
"92+20=112",
"141-112=29"
] | Current State: 29:[89, 52, 92, 20], Operations: []
Exploring Operation: 89+52=141, Resulting Numbers: [92, 20, 141]
Generated Node #2: [92, 20, 141] from Operation: 89+52=141
Current State: 29:[92, 20, 141], Operations: ['89+52=141']
Exploring Operation: 92+20=112, Resulting Numbers: [141, 112]
Generated Node #3: [141, 112] from Operation: 92+20=112
Current State: 29:[141, 112], Operations: ['89+52=141', '92+20=112']
Exploring Operation: 141-112=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[89, 52, 92, 20], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [52, 20, 3]
Generated Node #0,0: 29:[52, 20, 3] Operation: 92-89=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[52, 20, 3], Operations: ['92-89=3']
Exploring Operation: 52-20=32, Resulting Numbers: [3, 32]
Generated Node #0,0,0: 29:[3, 32] Operation: 52-20=32
Moving to Node #0,0,0
Current State: 29:[3, 32], Operations: ['92-89=3', '52-20=32']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[89, 52, 92, 20], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [52, 20, 3]
Generated Node #0,0: 29:[52, 20, 3] Operation: 92-89=3
Moving to Node #0,0
Current State: 29:[52, 20, 3], Operations: ['92-89=3']
Exploring Operation: 52-20=32, Resulting Numbers: [3, 32]
Generated Node #0,0,0: 29:[3, 32] Operation: 52-20=32
Moving to Node #0,0,0
Current State: 29:[3, 32], Operations: ['92-89=3', '52-20=32']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
88,
27,
21,
63
] | 73 | [
"88+27=115",
"63-21=42",
"115-42=73"
] | Current State: 73:[88, 27, 21, 63], Operations: []
Exploring Operation: 88+27=115, Resulting Numbers: [21, 63, 115]
Generated Node #2: [21, 63, 115] from Operation: 88+27=115
Current State: 73:[21, 63, 115], Operations: ['88+27=115']
Exploring Operation: 63-21=42, Resulting Numbers: [115, 42]
Generated Node #3: [115, 42] from Operation: 63-21=42
Current State: 73:[115, 42], Operations: ['88+27=115', '63-21=42']
Exploring Operation: 115-42=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[88, 27, 21, 63], Operations: []
Exploring Operation: 88-27=61, Resulting Numbers: [21, 63, 61]
Generated Node #0,0: 73:[21, 63, 61] Operation: 88-27=61
Exploring Operation: 88-21=67, Resulting Numbers: [27, 63, 67]
Generated Node #0,1: 73:[27, 63, 67] Operation: 88-21=67
Exploring Operation: 27+21=48, Resulting Numbers: [88, 63, 48]
Generated Node #0,2: 73:[88, 63, 48] Operation: 27+21=48
Exploring Operation: 21+63=84, Resulting Numbers: [88, 27, 84]
Generated Node #0,3: 73:[88, 27, 84] Operation: 21+63=84
Moving to Node #0,2
Current State: 73:[88, 63, 48], Operations: ['27+21=48']
Exploring Operation: 88+48=136, Resulting Numbers: [63, 136]
Generated Node #0,2,0: 73:[63, 136] Operation: 88+48=136
Exploring Operation: 88-63=25, Resulting Numbers: [48, 25]
Generated Node #0,2,1: 73:[48, 25] Operation: 88-63=25
Exploring Operation: 63+48=111, Resulting Numbers: [88, 111]
Generated Node #0,2,2: 73:[88, 111] Operation: 63+48=111
Exploring Operation: 88-48=40, Resulting Numbers: [63, 40]
Generated Node #0,2,3: 73:[63, 40] Operation: 88-48=40
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 73:[63, 40], Operations: ['27+21=48', '88-48=40']
Exploring Operation: 63+40=103, Resulting Numbers: [103]
103,73 unequal: No Solution
Exploring Operation: 63*40=2520, Resulting Numbers: [2520]
2520,73 unequal: No Solution
Exploring Operation: 63-40=23, Resulting Numbers: [23]
23,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 73:[88, 111], Operations: ['27+21=48', '63+48=111']
Exploring Operation: 88+111=199, Resulting Numbers: [199]
199,73 unequal: No Solution
Exploring Operation: 88*111=9768, Resulting Numbers: [9768]
9768,73 unequal: No Solution
Exploring Operation: 111-88=23, Resulting Numbers: [23]
23,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 73:[63, 136], Operations: ['27+21=48', '88+48=136']
Exploring Operation: 63*136=8568, Resulting Numbers: [8568]
8568,73 unequal: No Solution
Exploring Operation: 63+136=199, Resulting Numbers: [199]
199,73 unequal: No Solution
Exploring Operation: 136-63=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[88, 27, 21, 63], Operations: []
Exploring Operation: 27+21=48, Resulting Numbers: [88, 63, 48]
Generated Node #0,2: 73:[88, 63, 48] Operation: 27+21=48
Moving to Node #0,2
Current State: 73:[88, 63, 48], Operations: ['27+21=48']
Exploring Operation: 88+48=136, Resulting Numbers: [63, 136]
Generated Node #0,2,0: 73:[63, 136] Operation: 88+48=136
Moving to Node #0,2,0
Current State: 73:[63, 136], Operations: ['27+21=48', '88+48=136']
Exploring Operation: 136-63=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
92,
57,
44,
66
] | 54 | [
"57*44=2508",
"2508/66=38",
"92-38=54"
] | Current State: 54:[92, 57, 44, 66], Operations: []
Exploring Operation: 57*44=2508, Resulting Numbers: [92, 66, 2508]
Generated Node #2: [92, 66, 2508] from Operation: 57*44=2508
Current State: 54:[92, 66, 2508], Operations: ['57*44=2508']
Exploring Operation: 2508/66=38, Resulting Numbers: [92, 38]
Generated Node #3: [92, 38] from Operation: 2508/66=38
Current State: 54:[92, 38], Operations: ['57*44=2508', '2508/66=38']
Exploring Operation: 92-38=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[92, 57, 44, 66], Operations: []
Exploring Operation: 92-44=48, Resulting Numbers: [57, 66, 48]
Generated Node #0,0: 54:[57, 66, 48] Operation: 92-44=48
Exploring Operation: 92-57=35, Resulting Numbers: [44, 66, 35]
Generated Node #0,1: 54:[44, 66, 35] Operation: 92-57=35
Exploring Operation: 92-66=26, Resulting Numbers: [57, 44, 26]
Generated Node #0,2: 54:[57, 44, 26] Operation: 92-66=26
Moving to Node #0,2
Current State: 54:[57, 44, 26], Operations: ['92-66=26']
Exploring Operation: 57-44=13, Resulting Numbers: [26, 13]
Generated Node #0,2,0: 54:[26, 13] Operation: 57-44=13
Exploring Operation: 44-26=18, Resulting Numbers: [57, 18]
Generated Node #0,2,1: 54:[57, 18] Operation: 44-26=18
Exploring Operation: 57-26=31, Resulting Numbers: [44, 31]
Generated Node #0,2,2: 54:[44, 31] Operation: 57-26=31
Moving to Node #0,0
Current State: 54:[57, 66, 48], Operations: ['92-44=48']
Exploring Operation: 66-57=9, Resulting Numbers: [48, 9]
Generated Node #0,0,0: 54:[48, 9] Operation: 66-57=9
Exploring Operation: 66-48=18, Resulting Numbers: [57, 18]
Generated Node #0,0,1: 54:[57, 18] Operation: 66-48=18
Exploring Operation: 57-48=9, Resulting Numbers: [66, 9]
Generated Node #0,0,2: 54:[66, 9] Operation: 57-48=9
Moving to Node #0,1
Current State: 54:[44, 66, 35], Operations: ['92-57=35']
Exploring Operation: 44-35=9, Resulting Numbers: [66, 9]
Generated Node #0,1,0: 54:[66, 9] Operation: 44-35=9
Exploring Operation: 66-44=22, Resulting Numbers: [35, 22]
Generated Node #0,1,1: 54:[35, 22] Operation: 66-44=22
Exploring Operation: 66-35=31, Resulting Numbers: [44, 31]
Generated Node #0,1,2: 54:[44, 31] Operation: 66-35=31
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 54:[66, 9], Operations: ['92-57=35', '44-35=9']
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,54 unequal: No Solution
Exploring Operation: 66*9=594, Resulting Numbers: [594]
594,54 unequal: No Solution
Exploring Operation: 66+9=75, Resulting Numbers: [75]
75,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 54:[35, 22], Operations: ['92-57=35', '66-44=22']
Exploring Operation: 35+22=57, Resulting Numbers: [57]
57,54 unequal: No Solution
Exploring Operation: 35*22=770, Resulting Numbers: [770]
770,54 unequal: No Solution
Exploring Operation: 35-22=13, Resulting Numbers: [13]
13,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 54:[44, 31], Operations: ['92-57=35', '66-35=31']
Exploring Operation: 44-31=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 44+31=75, Resulting Numbers: [75]
75,54 unequal: No Solution
Exploring Operation: 44*31=1364, Resulting Numbers: [1364]
1364,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 54:[57, 18], Operations: ['92-66=26', '44-26=18']
Exploring Operation: 57*18=1026, Resulting Numbers: [1026]
1026,54 unequal: No Solution
Exploring Operation: 57+18=75, Resulting Numbers: [75]
75,54 unequal: No Solution
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,54 unequal: No Solution
Moving to Node #0,0,1
Current State: 54:[57, 18], Operations: ['92-44=48', '66-48=18']
Exploring Operation: 57*18=1026, Resulting Numbers: [1026]
1026,54 unequal: No Solution
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,54 unequal: No Solution
Exploring Operation: 57+18=75, Resulting Numbers: [75]
75,54 unequal: No Solution
Moving to Node #0,2,0
Current State: 54:[26, 13], Operations: ['92-66=26', '57-44=13']
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Exploring Operation: 26+13=39, Resulting Numbers: [39]
39,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[48, 9], Operations: ['92-44=48', '66-57=9']
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,54 unequal: No Solution
Exploring Operation: 48*9=432, Resulting Numbers: [432]
432,54 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,54 unequal: No Solution
Moving to Node #0,0,2
Current State: 54:[66, 9], Operations: ['92-44=48', '57-48=9']
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,54 unequal: No Solution
Exploring Operation: 66*9=594, Resulting Numbers: [594]
594,54 unequal: No Solution
Exploring Operation: 66+9=75, Resulting Numbers: [75]
75,54 unequal: No Solution
Moving to Node #0,2,2
Current State: 54:[44, 31], Operations: ['92-66=26', '57-26=31']
Exploring Operation: 44-31=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 44*31=1364, Resulting Numbers: [1364]
1364,54 unequal: No Solution
Exploring Operation: 44+31=75, Resulting Numbers: [75]
75,54 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
16,
55,
84,
97
] | 14 | [
"97-55=42",
"84/42=2",
"16-2=14"
] | Current State: 14:[16, 55, 84, 97], Operations: []
Exploring Operation: 97-55=42, Resulting Numbers: [16, 84, 42]
Generated Node #2: [16, 84, 42] from Operation: 97-55=42
Current State: 14:[16, 84, 42], Operations: ['97-55=42']
Exploring Operation: 84/42=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 84/42=2
Current State: 14:[16, 2], Operations: ['97-55=42', '84/42=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[16, 55, 84, 97], Operations: []
Exploring Operation: 97-84=13, Resulting Numbers: [16, 55, 13]
Generated Node #0,0: 14:[16, 55, 13] Operation: 97-84=13
Exploring Operation: 84-55=29, Resulting Numbers: [16, 97, 29]
Generated Node #0,1: 14:[16, 97, 29] Operation: 84-55=29
Moving to Node #0,0
Current State: 14:[16, 55, 13], Operations: ['97-84=13']
Exploring Operation: 55-16=39, Resulting Numbers: [13, 39]
Generated Node #0,0,0: 14:[13, 39] Operation: 55-16=39
Exploring Operation: 55-13=42, Resulting Numbers: [16, 42]
Generated Node #0,0,1: 14:[16, 42] Operation: 55-13=42
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[13, 39], Operations: ['97-84=13', '55-16=39']
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 14:[16, 42], Operations: ['97-84=13', '55-13=42']
Exploring Operation: 16+42=58, Resulting Numbers: [58]
58,14 unequal: No Solution
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 14:[16, 97, 29], Operations: ['84-55=29']
Exploring Operation: 97-16=81, Resulting Numbers: [29, 81]
Generated Node #0,1,0: 14:[29, 81] Operation: 97-16=81
Exploring Operation: 97-29=68, Resulting Numbers: [16, 68]
Generated Node #0,1,1: 14:[16, 68] Operation: 97-29=68
Moving to Node #0,1,1
Current State: 14:[16, 68], Operations: ['84-55=29', '97-29=68']
Exploring Operation: 68-16=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 16+68=84, Resulting Numbers: [84]
84,14 unequal: No Solution
Moving to Node #0,1,0
Current State: 14:[29, 81], Operations: ['84-55=29', '97-16=81']
Exploring Operation: 81-29=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 29+81=110, Resulting Numbers: [110]
110,14 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
33,
4,
29,
82
] | 80 | [
"33+29=62",
"82-62=20",
"4*20=80"
] | Current State: 80:[33, 4, 29, 82], Operations: []
Exploring Operation: 33+29=62, Resulting Numbers: [4, 82, 62]
Generated Node #2: [4, 82, 62] from Operation: 33+29=62
Current State: 80:[4, 82, 62], Operations: ['33+29=62']
Exploring Operation: 82-62=20, Resulting Numbers: [4, 20]
Generated Node #3: [4, 20] from Operation: 82-62=20
Current State: 80:[4, 20], Operations: ['33+29=62', '82-62=20']
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[33, 4, 29, 82], Operations: []
Exploring Operation: 33+4=37, Resulting Numbers: [29, 82, 37]
Generated Node #0,0: 80:[29, 82, 37] Operation: 33+4=37
Exploring Operation: 33-29=4, Resulting Numbers: [4, 82, 4]
Generated Node #0,1: 80:[4, 82, 4] Operation: 33-29=4
Moving to Node #0,1
Current State: 80:[4, 82, 4], Operations: ['33-29=4']
Exploring Operation: 4+4=8, Resulting Numbers: [82, 8]
Generated Node #0,1,0: 80:[82, 8] Operation: 4+4=8
Exploring Operation: 82-4=78, Resulting Numbers: [4, 78]
Generated Node #0,1,1: 80:[4, 78] Operation: 82-4=78
Moving to Node #0,0
Current State: 80:[29, 82, 37], Operations: ['33+4=37']
Exploring Operation: 37-29=8, Resulting Numbers: [82, 8]
Generated Node #0,0,0: 80:[82, 8] Operation: 37-29=8
Exploring Operation: 82-37=45, Resulting Numbers: [29, 45]
Generated Node #0,0,1: 80:[29, 45] Operation: 82-37=45
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[82, 8], Operations: ['33+4=37', '37-29=8']
Exploring Operation: 82+8=90, Resulting Numbers: [90]
90,80 unequal: No Solution
Exploring Operation: 82-8=74, Resulting Numbers: [74]
74,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[29, 45], Operations: ['33+4=37', '82-37=45']
Exploring Operation: 29+45=74, Resulting Numbers: [74]
74,80 unequal: No Solution
Exploring Operation: 45-29=16, Resulting Numbers: [16]
16,80 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: 80:[82, 8], Operations: ['33-29=4', '4+4=8']
Exploring Operation: 82-8=74, Resulting Numbers: [74]
74,80 unequal: No Solution
Exploring Operation: 82+8=90, Resulting Numbers: [90]
90,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[4, 78], Operations: ['33-29=4', '82-4=78']
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,80 unequal: No Solution
Exploring Operation: 4+78=82, Resulting Numbers: [82]
82,80 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
61,
21,
53,
57
] | 78 | [
"61+21=82",
"57-53=4",
"82-4=78"
] | Current State: 78:[61, 21, 53, 57], Operations: []
Exploring Operation: 61+21=82, Resulting Numbers: [53, 57, 82]
Generated Node #2: [53, 57, 82] from Operation: 61+21=82
Current State: 78:[53, 57, 82], Operations: ['61+21=82']
Exploring Operation: 57-53=4, Resulting Numbers: [82, 4]
Generated Node #3: [82, 4] from Operation: 57-53=4
Current State: 78:[82, 4], Operations: ['61+21=82', '57-53=4']
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[61, 21, 53, 57], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [21, 53, 4]
Generated Node #0,0: 78:[21, 53, 4] Operation: 61-57=4
Exploring Operation: 57-53=4, Resulting Numbers: [61, 21, 4]
Generated Node #0,1: 78:[61, 21, 4] Operation: 57-53=4
Exploring Operation: 61-53=8, Resulting Numbers: [21, 57, 8]
Generated Node #0,2: 78:[21, 57, 8] Operation: 61-53=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[21, 53, 4], Operations: ['61-57=4']
Exploring Operation: 21+4=25, Resulting Numbers: [53, 25]
Generated Node #0,0,0: 78:[53, 25] Operation: 21+4=25
Exploring Operation: 21+53=74, Resulting Numbers: [4, 74]
Generated Node #0,0,1: 78:[4, 74] Operation: 21+53=74
Exploring Operation: 53-21=32, Resulting Numbers: [4, 32]
Generated Node #0,0,2: 78:[4, 32] Operation: 53-21=32
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 78:[4, 74], Operations: ['61-57=4', '21+53=74']
Exploring Operation: 4*74=296, Resulting Numbers: [296]
296,78 unequal: No Solution
Exploring Operation: 4+74=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[61, 21, 53, 57], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [21, 53, 4]
Generated Node #0,0: 78:[21, 53, 4] Operation: 61-57=4
Moving to Node #0,0
Current State: 78:[21, 53, 4], Operations: ['61-57=4']
Exploring Operation: 21+53=74, Resulting Numbers: [4, 74]
Generated Node #0,0,1: 78:[4, 74] Operation: 21+53=74
Moving to Node #0,0,1
Current State: 78:[4, 74], Operations: ['61-57=4', '21+53=74']
Exploring Operation: 4+74=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
38,
32,
11,
77
] | 42 | [
"38-32=6",
"77/11=7",
"6*7=42"
] | Current State: 42:[38, 32, 11, 77], Operations: []
Exploring Operation: 38-32=6, Resulting Numbers: [11, 77, 6]
Generated Node #2: [11, 77, 6] from Operation: 38-32=6
Current State: 42:[11, 77, 6], Operations: ['38-32=6']
Exploring Operation: 77/11=7, Resulting Numbers: [6, 7]
Generated Node #3: [6, 7] from Operation: 77/11=7
Current State: 42:[6, 7], Operations: ['38-32=6', '77/11=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[38, 32, 11, 77], Operations: []
Exploring Operation: 77-32=45, Resulting Numbers: [38, 11, 45]
Generated Node #0,0: 42:[38, 11, 45] Operation: 77-32=45
Moving to Node #0,0
Current State: 42:[38, 11, 45], Operations: ['77-32=45']
Exploring Operation: 45-38=7, Resulting Numbers: [11, 7]
Generated Node #0,0,0: 42:[11, 7] Operation: 45-38=7
Moving to Node #0,0,0
Current State: 42:[11, 7], Operations: ['77-32=45', '45-38=7']
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,42 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
56,
25,
75,
30
] | 83 | [
"56+30=86",
"75/25=3",
"86-3=83"
] | Current State: 83:[56, 25, 75, 30], Operations: []
Exploring Operation: 56+30=86, Resulting Numbers: [25, 75, 86]
Generated Node #2: [25, 75, 86] from Operation: 56+30=86
Current State: 83:[25, 75, 86], Operations: ['56+30=86']
Exploring Operation: 75/25=3, Resulting Numbers: [86, 3]
Generated Node #3: [86, 3] from Operation: 75/25=3
Current State: 83:[86, 3], Operations: ['56+30=86', '75/25=3']
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[56, 25, 75, 30], Operations: []
Exploring Operation: 56+30=86, Resulting Numbers: [25, 75, 86]
Generated Node #0,0: 83:[25, 75, 86] Operation: 56+30=86
Exploring Operation: 25+30=55, Resulting Numbers: [56, 75, 55]
Generated Node #0,1: 83:[56, 75, 55] Operation: 25+30=55
Exploring Operation: 56+25=81, Resulting Numbers: [75, 30, 81]
Generated Node #0,2: 83:[75, 30, 81] Operation: 56+25=81
Moving to Node #0,1
Current State: 83:[56, 75, 55], Operations: ['25+30=55']
Exploring Operation: 56+75=131, Resulting Numbers: [55, 131]
Generated Node #0,1,0: 83:[55, 131] Operation: 56+75=131
Exploring Operation: 75+55=130, Resulting Numbers: [56, 130]
Generated Node #0,1,1: 83:[56, 130] Operation: 75+55=130
Exploring Operation: 56+55=111, Resulting Numbers: [75, 111]
Generated Node #0,1,2: 83:[75, 111] Operation: 56+55=111
Moving to Node #0,2
Current State: 83:[75, 30, 81], Operations: ['56+25=81']
Exploring Operation: 75-30=45, Resulting Numbers: [81, 45]
Generated Node #0,2,0: 83:[81, 45] Operation: 75-30=45
Exploring Operation: 75+30=105, Resulting Numbers: [81, 105]
Generated Node #0,2,1: 83:[81, 105] Operation: 75+30=105
Exploring Operation: 30+81=111, Resulting Numbers: [75, 111]
Generated Node #0,2,2: 83:[75, 111] Operation: 30+81=111
Moving to Node #0,0
Current State: 83:[25, 75, 86], Operations: ['56+30=86']
Exploring Operation: 86-25=61, Resulting Numbers: [75, 61]
Generated Node #0,0,0: 83:[75, 61] Operation: 86-25=61
Exploring Operation: 75-25=50, Resulting Numbers: [86, 50]
Generated Node #0,0,1: 83:[86, 50] Operation: 75-25=50
Exploring Operation: 25+75=100, Resulting Numbers: [86, 100]
Generated Node #0,0,2: 83:[86, 100] Operation: 25+75=100
Moving to Node #0,0,2
Current State: 83:[86, 100], Operations: ['56+30=86', '25+75=100']
Exploring Operation: 100-86=14, Resulting Numbers: [14]
14,83 unequal: No Solution
Exploring Operation: 86*100=8600, Resulting Numbers: [8600]
8600,83 unequal: No Solution
Exploring Operation: 86+100=186, Resulting Numbers: [186]
186,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[81, 105], Operations: ['56+25=81', '75+30=105']
Exploring Operation: 81*105=8505, Resulting Numbers: [8505]
8505,83 unequal: No Solution
Exploring Operation: 105-81=24, Resulting Numbers: [24]
24,83 unequal: No Solution
Exploring Operation: 81+105=186, Resulting Numbers: [186]
186,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[75, 61], Operations: ['56+30=86', '86-25=61']
Exploring Operation: 75-61=14, Resulting Numbers: [14]
14,83 unequal: No Solution
Exploring Operation: 75*61=4575, Resulting Numbers: [4575]
4575,83 unequal: No Solution
Exploring Operation: 75+61=136, Resulting Numbers: [136]
136,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[86, 50], Operations: ['56+30=86', '75-25=50']
Exploring Operation: 86+50=136, Resulting Numbers: [136]
136,83 unequal: No Solution
Exploring Operation: 86-50=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 86*50=4300, Resulting Numbers: [4300]
4300,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[75, 111], Operations: ['56+25=81', '30+81=111']
Exploring Operation: 75*111=8325, Resulting Numbers: [8325]
8325,83 unequal: No Solution
Exploring Operation: 111-75=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 75+111=186, Resulting Numbers: [186]
186,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[75, 111], Operations: ['25+30=55', '56+55=111']
Exploring Operation: 111-75=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 75*111=8325, Resulting Numbers: [8325]
8325,83 unequal: No Solution
Exploring Operation: 75+111=186, Resulting Numbers: [186]
186,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[81, 45], Operations: ['56+25=81', '75-30=45']
Exploring Operation: 81-45=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 81*45=3645, Resulting Numbers: [3645]
3645,83 unequal: No Solution
Exploring Operation: 81+45=126, Resulting Numbers: [126]
126,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[56, 130], Operations: ['25+30=55', '75+55=130']
Exploring Operation: 56+130=186, Resulting Numbers: [186]
186,83 unequal: No Solution
Exploring Operation: 130-56=74, Resulting Numbers: [74]
74,83 unequal: No Solution
Exploring Operation: 56*130=7280, Resulting Numbers: [7280]
7280,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[55, 131], Operations: ['25+30=55', '56+75=131']
Exploring Operation: 55*131=7205, Resulting Numbers: [7205]
7205,83 unequal: No Solution
Exploring Operation: 55+131=186, Resulting Numbers: [186]
186,83 unequal: No Solution
Exploring Operation: 131-55=76, Resulting Numbers: [76]
76,83 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
98,
4,
2,
39
] | 15 | [
"98-2=96",
"96/4=24",
"39-24=15"
] | Current State: 15:[98, 4, 2, 39], Operations: []
Exploring Operation: 98-2=96, Resulting Numbers: [4, 39, 96]
Generated Node #2: [4, 39, 96] from Operation: 98-2=96
Current State: 15:[4, 39, 96], Operations: ['98-2=96']
Exploring Operation: 96/4=24, Resulting Numbers: [39, 24]
Generated Node #3: [39, 24] from Operation: 96/4=24
Current State: 15:[39, 24], Operations: ['98-2=96', '96/4=24']
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[98, 4, 2, 39], Operations: []
Exploring Operation: 39-4=35, Resulting Numbers: [98, 2, 35]
Generated Node #0,0: 15:[98, 2, 35] Operation: 39-4=35
Exploring Operation: 98-39=59, Resulting Numbers: [4, 2, 59]
Generated Node #0,1: 15:[4, 2, 59] Operation: 98-39=59
Exploring Operation: 98-4=94, Resulting Numbers: [2, 39, 94]
Generated Node #0,2: 15:[2, 39, 94] Operation: 98-4=94
Exploring Operation: 98-2=96, Resulting Numbers: [4, 39, 96]
Generated Node #0,3: 15:[4, 39, 96] Operation: 98-2=96
Exploring Operation: 98/2=49, Resulting Numbers: [4, 39, 49]
Generated Node #0,4: 15:[4, 39, 49] Operation: 98/2=49
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[4, 2, 59], Operations: ['98-39=59']
Exploring Operation: 59-4=55, Resulting Numbers: [2, 55]
Generated Node #0,1,0: 15:[2, 55] Operation: 59-4=55
Exploring Operation: 4/2=2, Resulting Numbers: [59, 2]
Generated Node #0,1,1: 15:[59, 2] Operation: 4/2=2
Exploring Operation: 59-2=57, Resulting Numbers: [4, 57]
Generated Node #0,1,2: 15:[4, 57] Operation: 59-2=57
Exploring Operation: 4-2=2, Resulting Numbers: [59, 2]
Generated Node #0,1,3: 15:[59, 2] Operation: 4-2=2
Exploring Operation: 4+2=6, Resulting Numbers: [59, 6]
Generated Node #0,1,4: 15:[59, 6] Operation: 4+2=6
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 15:[2, 55], Operations: ['98-39=59', '59-4=55']
Exploring Operation: 2*55=110, Resulting Numbers: [110]
110,15 unequal: No Solution
Exploring Operation: 2+55=57, Resulting Numbers: [57]
57,15 unequal: No Solution
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,15 unequal: No Solution
No 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: 15:[4, 57], Operations: ['98-39=59', '59-2=57']
Exploring Operation: 4+57=61, Resulting Numbers: [61]
61,15 unequal: No Solution
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,15 unequal: No Solution
Exploring Operation: 4*57=228, Resulting Numbers: [228]
228,15 unequal: No Solution
No 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: 15:[59, 2], Operations: ['98-39=59', '4/2=2']
Exploring Operation: 59*2=118, Resulting Numbers: [118]
118,15 unequal: No Solution
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,15 unequal: No Solution
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,15 unequal: No Solution
No 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: 15:[59, 2], Operations: ['98-39=59', '4-2=2']
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,15 unequal: No Solution
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,15 unequal: No Solution
Exploring Operation: 59*2=118, Resulting Numbers: [118]
118,15 unequal: No Solution
No 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: 15:[59, 6], Operations: ['98-39=59', '4+2=6']
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,15 unequal: No Solution
Exploring Operation: 59*6=354, Resulting Numbers: [354]
354,15 unequal: No Solution
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,15 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: 15:[4, 39, 49], Operations: ['98/2=49']
Exploring Operation: 4+49=53, Resulting Numbers: [39, 53]
Generated Node #0,4,0: 15:[39, 53] Operation: 4+49=53
Exploring Operation: 49-39=10, Resulting Numbers: [4, 10]
Generated Node #0,4,1: 15:[4, 10] Operation: 49-39=10
Exploring Operation: 4+39=43, Resulting Numbers: [49, 43]
Generated Node #0,4,2: 15:[49, 43] Operation: 4+39=43
Exploring Operation: 49-4=45, Resulting Numbers: [39, 45]
Generated Node #0,4,3: 15:[39, 45] Operation: 49-4=45
Exploring Operation: 39-4=35, Resulting Numbers: [49, 35]
Generated Node #0,4,4: 15:[49, 35] Operation: 39-4=35
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 15:[4, 10], Operations: ['98/2=49', '49-39=10']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,15 unequal: No Solution
No 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: 15:[39, 45], Operations: ['98/2=49', '49-4=45']
Exploring Operation: 45-39=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 39+45=84, Resulting Numbers: [84]
84,15 unequal: No Solution
Exploring Operation: 39*45=1755, Resulting Numbers: [1755]
1755,15 unequal: No Solution
No 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: 15:[49, 35], Operations: ['98/2=49', '39-4=35']
Exploring Operation: 49*35=1715, Resulting Numbers: [1715]
1715,15 unequal: No Solution
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 49+35=84, Resulting Numbers: [84]
84,15 unequal: No Solution
No 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: 15:[39, 53], Operations: ['98/2=49', '4+49=53']
Exploring Operation: 39+53=92, Resulting Numbers: [92]
92,15 unequal: No Solution
Exploring Operation: 53-39=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 39*53=2067, Resulting Numbers: [2067]
2067,15 unequal: No Solution
No 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: 15:[49, 43], Operations: ['98/2=49', '4+39=43']
Exploring Operation: 49+43=92, Resulting Numbers: [92]
92,15 unequal: No Solution
Exploring Operation: 49*43=2107, Resulting Numbers: [2107]
2107,15 unequal: No Solution
Exploring Operation: 49-43=6, Resulting Numbers: [6]
6,15 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: 15:[98, 2, 35], Operations: ['39-4=35']
Exploring Operation: 98-2=96, Resulting Numbers: [35, 96]
Generated Node #0,0,0: 15:[35, 96] Operation: 98-2=96
Exploring Operation: 98+2=100, Resulting Numbers: [35, 100]
Generated Node #0,0,1: 15:[35, 100] Operation: 98+2=100
Exploring Operation: 35-2=33, Resulting Numbers: [98, 33]
Generated Node #0,0,2: 15:[98, 33] Operation: 35-2=33
Exploring Operation: 98/2=49, Resulting Numbers: [35, 49]
Generated Node #0,0,3: 15:[35, 49] Operation: 98/2=49
Exploring Operation: 98-35=63, Resulting Numbers: [2, 63]
Generated Node #0,0,4: 15:[2, 63] Operation: 98-35=63
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 15:[2, 63], Operations: ['39-4=35', '98-35=63']
Exploring Operation: 2+63=65, Resulting Numbers: [65]
65,15 unequal: No Solution
Exploring Operation: 2*63=126, Resulting Numbers: [126]
126,15 unequal: No Solution
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,15 unequal: No Solution
No 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: 15:[35, 49], Operations: ['39-4=35', '98/2=49']
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 35+49=84, Resulting Numbers: [84]
84,15 unequal: No Solution
Exploring Operation: 35*49=1715, Resulting Numbers: [1715]
1715,15 unequal: No Solution
No 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: 15:[35, 96], Operations: ['39-4=35', '98-2=96']
Exploring Operation: 35*96=3360, Resulting Numbers: [3360]
3360,15 unequal: No Solution
Exploring Operation: 35+96=131, Resulting Numbers: [131]
131,15 unequal: No Solution
Exploring Operation: 96-35=61, Resulting Numbers: [61]
61,15 unequal: No Solution
No 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: 15:[98, 33], Operations: ['39-4=35', '35-2=33']
Exploring Operation: 98+33=131, Resulting Numbers: [131]
131,15 unequal: No Solution
Exploring Operation: 98*33=3234, Resulting Numbers: [3234]
3234,15 unequal: No Solution
Exploring Operation: 98-33=65, Resulting Numbers: [65]
65,15 unequal: No Solution
No 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: 15:[35, 100], Operations: ['39-4=35', '98+2=100']
Exploring Operation: 35*100=3500, Resulting Numbers: [3500]
3500,15 unequal: No Solution
Exploring Operation: 35+100=135, Resulting Numbers: [135]
135,15 unequal: No Solution
Exploring Operation: 100-35=65, Resulting Numbers: [65]
65,15 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: 15:[2, 39, 94], Operations: ['98-4=94']
Exploring Operation: 94-2=92, Resulting Numbers: [39, 92]
Generated Node #0,2,0: 15:[39, 92] Operation: 94-2=92
Exploring Operation: 94-39=55, Resulting Numbers: [2, 55]
Generated Node #0,2,1: 15:[2, 55] Operation: 94-39=55
Exploring Operation: 94/2=47, Resulting Numbers: [39, 47]
Generated Node #0,2,2: 15:[39, 47] Operation: 94/2=47
Exploring Operation: 2+39=41, Resulting Numbers: [94, 41]
Generated Node #0,2,3: 15:[94, 41] Operation: 2+39=41
Exploring Operation: 39-2=37, Resulting Numbers: [94, 37]
Generated Node #0,2,4: 15:[94, 37] Operation: 39-2=37
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 15:[2, 55], Operations: ['98-4=94', '94-39=55']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,15 unequal: No Solution
Exploring Operation: 2*55=110, Resulting Numbers: [110]
110,15 unequal: No Solution
Exploring Operation: 2+55=57, Resulting Numbers: [57]
57,15 unequal: No Solution
No 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: 15:[39, 47], Operations: ['98-4=94', '94/2=47']
Exploring Operation: 39+47=86, Resulting Numbers: [86]
86,15 unequal: No Solution
Exploring Operation: 39*47=1833, Resulting Numbers: [1833]
1833,15 unequal: No Solution
Exploring Operation: 47-39=8, Resulting Numbers: [8]
8,15 unequal: No Solution
No 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: 15:[39, 92], Operations: ['98-4=94', '94-2=92']
Exploring Operation: 92-39=53, Resulting Numbers: [53]
53,15 unequal: No Solution
Exploring Operation: 39+92=131, Resulting Numbers: [131]
131,15 unequal: No Solution
Exploring Operation: 39*92=3588, Resulting Numbers: [3588]
3588,15 unequal: No Solution
No 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: 15:[94, 37], Operations: ['98-4=94', '39-2=37']
Exploring Operation: 94+37=131, Resulting Numbers: [131]
131,15 unequal: No Solution
Exploring Operation: 94*37=3478, Resulting Numbers: [3478]
3478,15 unequal: No Solution
Exploring Operation: 94-37=57, Resulting Numbers: [57]
57,15 unequal: No Solution
No 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: 15:[94, 41], Operations: ['98-4=94', '2+39=41']
Exploring Operation: 94+41=135, Resulting Numbers: [135]
135,15 unequal: No Solution
Exploring Operation: 94*41=3854, Resulting Numbers: [3854]
3854,15 unequal: No Solution
Exploring Operation: 94-41=53, Resulting Numbers: [53]
53,15 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: 15:[4, 39, 96], Operations: ['98-2=96']
Exploring Operation: 96-39=57, Resulting Numbers: [4, 57]
Generated Node #0,3,0: 15:[4, 57] Operation: 96-39=57
Exploring Operation: 39-4=35, Resulting Numbers: [96, 35]
Generated Node #0,3,1: 15:[96, 35] Operation: 39-4=35
Exploring Operation: 96-4=92, Resulting Numbers: [39, 92]
Generated Node #0,3,2: 15:[39, 92] Operation: 96-4=92
Exploring Operation: 4+39=43, Resulting Numbers: [96, 43]
Generated Node #0,3,3: 15:[96, 43] Operation: 4+39=43
Exploring Operation: 96/4=24, Resulting Numbers: [39, 24]
Generated Node #0,3,4: 15:[39, 24] Operation: 96/4=24
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 15:[39, 24], Operations: ['98-2=96', '96/4=24']
Exploring Operation: 39*24=936, Resulting Numbers: [936]
936,15 unequal: No Solution
Exploring Operation: 39+24=63, Resulting Numbers: [63]
63,15 unequal: No Solution
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[98, 4, 2, 39], Operations: []
Exploring Operation: 98-2=96, Resulting Numbers: [4, 39, 96]
Generated Node #0,3: 15:[4, 39, 96] Operation: 98-2=96
Moving to Node #0,3
Current State: 15:[4, 39, 96], Operations: ['98-2=96']
Exploring Operation: 96/4=24, Resulting Numbers: [39, 24]
Generated Node #0,3,4: 15:[39, 24] Operation: 96/4=24
Moving to Node #0,3,4
Current State: 15:[39, 24], Operations: ['98-2=96', '96/4=24']
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.915799 | hs_5 | mult_heuristic |
[
3,
99,
94,
77
] | 24 | [
"99-94=5",
"77-5=72",
"72/3=24"
] | Current State: 24:[3, 99, 94, 77], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [3, 77, 5]
Generated Node #2: [3, 77, 5] from Operation: 99-94=5
Current State: 24:[3, 77, 5], Operations: ['99-94=5']
Exploring Operation: 77-5=72, Resulting Numbers: [3, 72]
Generated Node #3: [3, 72] from Operation: 77-5=72
Current State: 24:[3, 72], Operations: ['99-94=5', '77-5=72']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[3, 99, 94, 77], Operations: []
Exploring Operation: 99-77=22, Resulting Numbers: [3, 94, 22]
Generated Node #0,0: 24:[3, 94, 22] Operation: 99-77=22
Exploring Operation: 99-94=5, Resulting Numbers: [3, 77, 5]
Generated Node #0,1: 24:[3, 77, 5] Operation: 99-94=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[3, 77, 5], Operations: ['99-94=5']
Exploring Operation: 77-3=74, Resulting Numbers: [5, 74]
Generated Node #0,1,0: 24:[5, 74] Operation: 77-3=74
Exploring Operation: 77-5=72, Resulting Numbers: [3, 72]
Generated Node #0,1,1: 24:[3, 72] Operation: 77-5=72
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 24:[3, 72], Operations: ['99-94=5', '77-5=72']
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[3, 99, 94, 77], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [3, 77, 5]
Generated Node #0,1: 24:[3, 77, 5] Operation: 99-94=5
Moving to Node #0,1
Current State: 24:[3, 77, 5], Operations: ['99-94=5']
Exploring Operation: 77-5=72, Resulting Numbers: [3, 72]
Generated Node #0,1,1: 24:[3, 72] Operation: 77-5=72
Moving to Node #0,1,1
Current State: 24:[3, 72], Operations: ['99-94=5', '77-5=72']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
70,
42,
60,
72
] | 51 | [
"72-70=2",
"42+60=102",
"102/2=51"
] | Current State: 51:[70, 42, 60, 72], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [42, 60, 2]
Generated Node #2: [42, 60, 2] from Operation: 72-70=2
Current State: 51:[42, 60, 2], Operations: ['72-70=2']
Exploring Operation: 42+60=102, Resulting Numbers: [2, 102]
Generated Node #3: [2, 102] from Operation: 42+60=102
Current State: 51:[2, 102], Operations: ['72-70=2', '42+60=102']
Exploring Operation: 102/2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[70, 42, 60, 72], Operations: []
Exploring Operation: 72-60=12, Resulting Numbers: [70, 42, 12]
Generated Node #0,0: 51:[70, 42, 12] Operation: 72-60=12
Exploring Operation: 72-70=2, Resulting Numbers: [42, 60, 2]
Generated Node #0,1: 51:[42, 60, 2] Operation: 72-70=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[42, 60, 2], Operations: ['72-70=2']
Exploring Operation: 60-42=18, Resulting Numbers: [2, 18]
Generated Node #0,1,0: 51:[2, 18] Operation: 60-42=18
Exploring Operation: 42/2=21, Resulting Numbers: [60, 21]
Generated Node #0,1,1: 51:[60, 21] Operation: 42/2=21
Moving to Node #0,1,0
Current State: 51:[2, 18], Operations: ['72-70=2', '60-42=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,51 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[60, 21], Operations: ['72-70=2', '42/2=21']
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,51 unequal: No Solution
Exploring Operation: 60+21=81, Resulting Numbers: [81]
81,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[70, 42, 12], Operations: ['72-60=12']
Exploring Operation: 70-12=58, Resulting Numbers: [42, 58]
Generated Node #0,0,0: 51:[42, 58] Operation: 70-12=58
Exploring Operation: 70-42=28, Resulting Numbers: [12, 28]
Generated Node #0,0,1: 51:[12, 28] Operation: 70-42=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 51:[42, 58], Operations: ['72-60=12', '70-12=58']
Exploring Operation: 58-42=16, Resulting Numbers: [16]
16,51 unequal: No Solution
Exploring Operation: 42+58=100, Resulting Numbers: [100]
100,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 51:[12, 28], Operations: ['72-60=12', '70-42=28']
Exploring Operation: 12+28=40, Resulting Numbers: [40]
40,51 unequal: No Solution
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,51 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 |
[
10,
89,
25,
85
] | 95 | [
"85-25=60",
"60/10=6",
"89+6=95"
] | Current State: 95:[10, 89, 25, 85], Operations: []
Exploring Operation: 85-25=60, Resulting Numbers: [10, 89, 60]
Generated Node #2: [10, 89, 60] from Operation: 85-25=60
Current State: 95:[10, 89, 60], Operations: ['85-25=60']
Exploring Operation: 60/10=6, Resulting Numbers: [89, 6]
Generated Node #3: [89, 6] from Operation: 60/10=6
Current State: 95:[89, 6], Operations: ['85-25=60', '60/10=6']
Exploring Operation: 89+6=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[10, 89, 25, 85], Operations: []
Exploring Operation: 10+89=99, Resulting Numbers: [25, 85, 99]
Generated Node #0,0: 95:[25, 85, 99] Operation: 10+89=99
Exploring Operation: 25-10=15, Resulting Numbers: [89, 85, 15]
Generated Node #0,1: 95:[89, 85, 15] Operation: 25-10=15
Exploring Operation: 10+85=95, Resulting Numbers: [89, 25, 95]
Generated Node #0,2: 95:[89, 25, 95] Operation: 10+85=95
Exploring Operation: 89-85=4, Resulting Numbers: [10, 25, 4]
Generated Node #0,3: 95:[10, 25, 4] Operation: 89-85=4
Moving to Node #0,2
Current State: 95:[89, 25, 95], Operations: ['10+85=95']
Exploring Operation: 89+25=114, Resulting Numbers: [95, 114]
Generated Node #0,2,0: 95:[95, 114] Operation: 89+25=114
Exploring Operation: 95-89=6, Resulting Numbers: [25, 6]
Generated Node #0,2,1: 95:[25, 6] Operation: 95-89=6
Exploring Operation: 25+95=120, Resulting Numbers: [89, 120]
Generated Node #0,2,2: 95:[89, 120] Operation: 25+95=120
Exploring Operation: 89-25=64, Resulting Numbers: [95, 64]
Generated Node #0,2,3: 95:[95, 64] Operation: 89-25=64
Moving to Node #0,3
Current State: 95:[10, 25, 4], Operations: ['89-85=4']
Exploring Operation: 25*4=100, Resulting Numbers: [10, 100]
Generated Node #0,3,0: 95:[10, 100] Operation: 25*4=100
Exploring Operation: 25-10=15, Resulting Numbers: [4, 15]
Generated Node #0,3,1: 95:[4, 15] Operation: 25-10=15
Exploring Operation: 25-4=21, Resulting Numbers: [10, 21]
Generated Node #0,3,2: 95:[10, 21] Operation: 25-4=21
Exploring Operation: 10-4=6, Resulting Numbers: [25, 6]
Generated Node #0,3,3: 95:[25, 6] Operation: 10-4=6
Moving to Node #0,1
Current State: 95:[89, 85, 15], Operations: ['25-10=15']
Exploring Operation: 89-85=4, Resulting Numbers: [15, 4]
Generated Node #0,1,0: 95:[15, 4] Operation: 89-85=4
Exploring Operation: 89-15=74, Resulting Numbers: [85, 74]
Generated Node #0,1,1: 95:[85, 74] Operation: 89-15=74
Exploring Operation: 89+15=104, Resulting Numbers: [85, 104]
Generated Node #0,1,2: 95:[85, 104] Operation: 89+15=104
Exploring Operation: 85+15=100, Resulting Numbers: [89, 100]
Generated Node #0,1,3: 95:[89, 100] Operation: 85+15=100
Moving to Node #0,0
Current State: 95:[25, 85, 99], Operations: ['10+89=99']
Exploring Operation: 99-85=14, Resulting Numbers: [25, 14]
Generated Node #0,0,0: 95:[25, 14] Operation: 99-85=14
Exploring Operation: 99-25=74, Resulting Numbers: [85, 74]
Generated Node #0,0,1: 95:[85, 74] Operation: 99-25=74
Exploring Operation: 25+85=110, Resulting Numbers: [99, 110]
Generated Node #0,0,2: 95:[99, 110] Operation: 25+85=110
Exploring Operation: 85-25=60, Resulting Numbers: [99, 60]
Generated Node #0,0,3: 95:[99, 60] Operation: 85-25=60
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[25, 14], Operations: ['10+89=99', '99-85=14']
Exploring Operation: 25*14=350, Resulting Numbers: [350]
350,95 unequal: No Solution
Exploring Operation: 25+14=39, Resulting Numbers: [39]
39,95 unequal: No Solution
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 95:[99, 110], Operations: ['10+89=99', '25+85=110']
Exploring Operation: 99+110=209, Resulting Numbers: [209]
209,95 unequal: No Solution
Exploring Operation: 99*110=10890, Resulting Numbers: [10890]
10890,95 unequal: No Solution
Exploring Operation: 110-99=11, Resulting Numbers: [11]
11,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[85, 74], Operations: ['10+89=99', '99-25=74']
Exploring Operation: 85*74=6290, Resulting Numbers: [6290]
6290,95 unequal: No Solution
Exploring Operation: 85-74=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 85+74=159, Resulting Numbers: [159]
159,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 95:[99, 60], Operations: ['10+89=99', '85-25=60']
Exploring Operation: 99+60=159, Resulting Numbers: [159]
159,95 unequal: No Solution
Exploring Operation: 99*60=5940, Resulting Numbers: [5940]
5940,95 unequal: No Solution
Exploring Operation: 99-60=39, Resulting Numbers: [39]
39,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 95:[4, 15], Operations: ['89-85=4', '25-10=15']
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,95 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[15, 4], Operations: ['25-10=15', '89-85=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,95 unequal: No Solution
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,95 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Moving to Node #0,3,2
Current State: 95:[10, 21], Operations: ['89-85=4', '25-4=21']
Exploring Operation: 10*21=210, Resulting Numbers: [210]
210,95 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,95 unequal: No Solution
Moving to Node #0,3,3
Current State: 95:[25, 6], Operations: ['89-85=4', '10-4=6']
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,95 unequal: No Solution
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,95 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,95 unequal: No Solution
Moving to Node #0,2,1
Current State: 95:[25, 6], Operations: ['10+85=95', '95-89=6']
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,95 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,95 unequal: No Solution
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,95 unequal: No Solution
Moving to Node #0,3,0
Current State: 95:[10, 100], Operations: ['89-85=4', '25*4=100']
Exploring Operation: 100/10=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 10*100=1000, Resulting Numbers: [1000]
1000,95 unequal: No Solution
Exploring Operation: 10+100=110, Resulting Numbers: [110]
110,95 unequal: No Solution
Exploring Operation: 100-10=90, Resulting Numbers: [90]
90,95 unequal: No Solution
Moving to Node #0,1,3
Current State: 95:[89, 100], Operations: ['25-10=15', '85+15=100']
Exploring Operation: 100-89=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 89+100=189, Resulting Numbers: [189]
189,95 unequal: No Solution
Exploring Operation: 89*100=8900, Resulting Numbers: [8900]
8900,95 unequal: No Solution
Moving to Node #0,1,2
Current State: 95:[85, 104], Operations: ['25-10=15', '89+15=104']
Exploring Operation: 85+104=189, Resulting Numbers: [189]
189,95 unequal: No Solution
Exploring Operation: 85*104=8840, Resulting Numbers: [8840]
8840,95 unequal: No Solution
Exploring Operation: 104-85=19, Resulting Numbers: [19]
19,95 unequal: No Solution
Moving to Node #0,2,0
Current State: 95:[95, 114], Operations: ['10+85=95', '89+25=114']
Exploring Operation: 95*114=10830, Resulting Numbers: [10830]
10830,95 unequal: No Solution
Exploring Operation: 114-95=19, Resulting Numbers: [19]
19,95 unequal: No Solution
Exploring Operation: 95+114=209, Resulting Numbers: [209]
209,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[89, 120], Operations: ['10+85=95', '25+95=120']
Exploring Operation: 120-89=31, Resulting Numbers: [31]
31,95 unequal: No Solution
Exploring Operation: 89*120=10680, Resulting Numbers: [10680]
10680,95 unequal: No Solution
Exploring Operation: 89+120=209, Resulting Numbers: [209]
209,95 unequal: No Solution
Moving to Node #0,2,3
Current State: 95:[95, 64], Operations: ['10+85=95', '89-25=64']
Exploring Operation: 95*64=6080, Resulting Numbers: [6080]
6080,95 unequal: No Solution
Exploring Operation: 95+64=159, Resulting Numbers: [159]
159,95 unequal: No Solution
Exploring Operation: 95-64=31, Resulting Numbers: [31]
31,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[85, 74], Operations: ['25-10=15', '89-15=74']
Exploring Operation: 85+74=159, Resulting Numbers: [159]
159,95 unequal: No Solution
Exploring Operation: 85*74=6290, Resulting Numbers: [6290]
6290,95 unequal: No Solution
Exploring Operation: 85-74=11, Resulting Numbers: [11]
11,95 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
31,
66,
1,
62
] | 32 | [
"31*66=2046",
"2046/62=33",
"33-1=32"
] | Current State: 32:[31, 66, 1, 62], Operations: []
Exploring Operation: 31*66=2046, Resulting Numbers: [1, 62, 2046]
Generated Node #2: [1, 62, 2046] from Operation: 31*66=2046
Current State: 32:[1, 62, 2046], Operations: ['31*66=2046']
Exploring Operation: 2046/62=33, Resulting Numbers: [1, 33]
Generated Node #3: [1, 33] from Operation: 2046/62=33
Current State: 32:[1, 33], Operations: ['31*66=2046', '2046/62=33']
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[31, 66, 1, 62], Operations: []
Exploring Operation: 66-62=4, Resulting Numbers: [31, 1, 4]
Generated Node #0,0: 32:[31, 1, 4] Operation: 66-62=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[31, 1, 4], Operations: ['66-62=4']
Exploring Operation: 31+1=32, Resulting Numbers: [4, 32]
Generated Node #0,0,0: 32:[4, 32] Operation: 31+1=32
Moving to Node #0,0,0
Current State: 32:[4, 32], Operations: ['66-62=4', '31+1=32']
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,32 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 |
[
51,
10,
69,
14
] | 22 | [
"51+10=61",
"69+14=83",
"83-61=22"
] | Current State: 22:[51, 10, 69, 14], Operations: []
Exploring Operation: 51+10=61, Resulting Numbers: [69, 14, 61]
Generated Node #2: [69, 14, 61] from Operation: 51+10=61
Current State: 22:[69, 14, 61], Operations: ['51+10=61']
Exploring Operation: 69+14=83, Resulting Numbers: [61, 83]
Generated Node #3: [61, 83] from Operation: 69+14=83
Current State: 22:[61, 83], Operations: ['51+10=61', '69+14=83']
Exploring Operation: 83-61=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[51, 10, 69, 14], Operations: []
Exploring Operation: 69-14=55, Resulting Numbers: [51, 10, 55]
Generated Node #0,0: 22:[51, 10, 55] Operation: 69-14=55
Exploring Operation: 69-10=59, Resulting Numbers: [51, 14, 59]
Generated Node #0,1: 22:[51, 14, 59] Operation: 69-10=59
Exploring Operation: 51-14=37, Resulting Numbers: [10, 69, 37]
Generated Node #0,2: 22:[10, 69, 37] Operation: 51-14=37
Exploring Operation: 51-10=41, Resulting Numbers: [69, 14, 41]
Generated Node #0,3: 22:[69, 14, 41] Operation: 51-10=41
Exploring Operation: 69-51=18, Resulting Numbers: [10, 14, 18]
Generated Node #0,4: 22:[10, 14, 18] Operation: 69-51=18
Moving to Node #0,4
Current State: 22:[10, 14, 18], Operations: ['69-51=18']
Exploring Operation: 10+14=24, Resulting Numbers: [18, 24]
Generated Node #0,4,0: 22:[18, 24] Operation: 10+14=24
Exploring Operation: 10+18=28, Resulting Numbers: [14, 28]
Generated Node #0,4,1: 22:[14, 28] Operation: 10+18=28
Exploring Operation: 18-10=8, Resulting Numbers: [14, 8]
Generated Node #0,4,2: 22:[14, 8] Operation: 18-10=8
Exploring Operation: 14-10=4, Resulting Numbers: [18, 4]
Generated Node #0,4,3: 22:[18, 4] Operation: 14-10=4
Exploring Operation: 18-14=4, Resulting Numbers: [10, 4]
Generated Node #0,4,4: 22:[10, 4] Operation: 18-14=4
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 22:[10, 4], Operations: ['69-51=18', '18-14=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,22 unequal: No Solution
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,22 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,22 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 #0,4,0
Current State: 22:[18, 24], Operations: ['69-51=18', '10+14=24']
Exploring Operation: 18+24=42, Resulting Numbers: [42]
42,22 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,22 unequal: No Solution
Exploring Operation: 18*24=432, Resulting Numbers: [432]
432,22 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 #0,4,2
Current State: 22:[14, 8], Operations: ['69-51=18', '18-10=8']
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,22 unequal: No Solution
Exploring Operation: 14*8=112, Resulting Numbers: [112]
112,22 unequal: No Solution
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[51, 10, 69, 14], Operations: []
Exploring Operation: 69-51=18, Resulting Numbers: [10, 14, 18]
Generated Node #0,4: 22:[10, 14, 18] Operation: 69-51=18
Moving to Node #0,4
Current State: 22:[10, 14, 18], Operations: ['69-51=18']
Exploring Operation: 18-10=8, Resulting Numbers: [14, 8]
Generated Node #0,4,2: 22:[14, 8] Operation: 18-10=8
Moving to Node #0,4,2
Current State: 22:[14, 8], Operations: ['69-51=18', '18-10=8']
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
29,
33,
71,
65
] | 56 | [
"29+33=62",
"71-65=6",
"62-6=56"
] | Current State: 56:[29, 33, 71, 65], Operations: []
Exploring Operation: 29+33=62, Resulting Numbers: [71, 65, 62]
Generated Node #2: [71, 65, 62] from Operation: 29+33=62
Current State: 56:[71, 65, 62], Operations: ['29+33=62']
Exploring Operation: 71-65=6, Resulting Numbers: [62, 6]
Generated Node #3: [62, 6] from Operation: 71-65=6
Current State: 56:[62, 6], Operations: ['29+33=62', '71-65=6']
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[29, 33, 71, 65], Operations: []
Exploring Operation: 71-33=38, Resulting Numbers: [29, 65, 38]
Generated Node #0,0: 56:[29, 65, 38] Operation: 71-33=38
Exploring Operation: 71-65=6, Resulting Numbers: [29, 33, 6]
Generated Node #0,1: 56:[29, 33, 6] Operation: 71-65=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[29, 33, 6], Operations: ['71-65=6']
Exploring Operation: 33-6=27, Resulting Numbers: [29, 27]
Generated Node #0,1,0: 56:[29, 27] Operation: 33-6=27
Exploring Operation: 33-29=4, Resulting Numbers: [6, 4]
Generated Node #0,1,1: 56:[6, 4] Operation: 33-29=4
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 56:[6, 4], Operations: ['71-65=6', '33-29=4']
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,56 unequal: No Solution
No 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: 56:[29, 27], Operations: ['71-65=6', '33-6=27']
Exploring Operation: 29+27=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[29, 33, 71, 65], Operations: []
Exploring Operation: 71-65=6, Resulting Numbers: [29, 33, 6]
Generated Node #0,1: 56:[29, 33, 6] Operation: 71-65=6
Moving to Node #0,1
Current State: 56:[29, 33, 6], Operations: ['71-65=6']
Exploring Operation: 33-6=27, Resulting Numbers: [29, 27]
Generated Node #0,1,0: 56:[29, 27] Operation: 33-6=27
Moving to Node #0,1,0
Current State: 56:[29, 27], Operations: ['71-65=6', '33-6=27']
Exploring Operation: 29+27=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
5,
86,
77,
75
] | 93 | [
"5+86=91",
"77-75=2",
"91+2=93"
] | Current State: 93:[5, 86, 77, 75], Operations: []
Exploring Operation: 5+86=91, Resulting Numbers: [77, 75, 91]
Generated Node #2: [77, 75, 91] from Operation: 5+86=91
Current State: 93:[77, 75, 91], Operations: ['5+86=91']
Exploring Operation: 77-75=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 77-75=2
Current State: 93:[91, 2], Operations: ['5+86=91', '77-75=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[5, 86, 77, 75], Operations: []
Exploring Operation: 86-77=9, Resulting Numbers: [5, 75, 9]
Generated Node #0,0: 93:[5, 75, 9] Operation: 86-77=9
Exploring Operation: 86-75=11, Resulting Numbers: [5, 77, 11]
Generated Node #0,1: 93:[5, 77, 11] Operation: 86-75=11
Exploring Operation: 77-75=2, Resulting Numbers: [5, 86, 2]
Generated Node #0,2: 93:[5, 86, 2] Operation: 77-75=2
Exploring Operation: 5+86=91, Resulting Numbers: [77, 75, 91]
Generated Node #0,3: 93:[77, 75, 91] Operation: 5+86=91
Exploring Operation: 75/5=15, Resulting Numbers: [86, 77, 15]
Generated Node #0,4: 93:[86, 77, 15] Operation: 75/5=15
Moving to Node #0,2
Current State: 93:[5, 86, 2], Operations: ['77-75=2']
Exploring Operation: 86-2=84, Resulting Numbers: [5, 84]
Generated Node #0,2,0: 93:[5, 84] Operation: 86-2=84
Exploring Operation: 86+2=88, Resulting Numbers: [5, 88]
Generated Node #0,2,1: 93:[5, 88] Operation: 86+2=88
Exploring Operation: 5-2=3, Resulting Numbers: [86, 3]
Generated Node #0,2,2: 93:[86, 3] Operation: 5-2=3
Exploring Operation: 5+2=7, Resulting Numbers: [86, 7]
Generated Node #0,2,3: 93:[86, 7] Operation: 5+2=7
Exploring Operation: 5+86=91, Resulting Numbers: [2, 91]
Generated Node #0,2,4: 93:[2, 91] Operation: 5+86=91
Moving to Node #0,1
Current State: 93:[5, 77, 11], Operations: ['86-75=11']
Exploring Operation: 11-5=6, Resulting Numbers: [77, 6]
Generated Node #0,1,0: 93:[77, 6] Operation: 11-5=6
Exploring Operation: 77-5=72, Resulting Numbers: [11, 72]
Generated Node #0,1,1: 93:[11, 72] Operation: 77-5=72
Exploring Operation: 77+11=88, Resulting Numbers: [5, 88]
Generated Node #0,1,2: 93:[5, 88] Operation: 77+11=88
Exploring Operation: 77/11=7, Resulting Numbers: [5, 7]
Generated Node #0,1,3: 93:[5, 7] Operation: 77/11=7
Exploring Operation: 5+77=82, Resulting Numbers: [11, 82]
Generated Node #0,1,4: 93:[11, 82] Operation: 5+77=82
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 93:[5, 7], Operations: ['86-75=11', '77/11=7']
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 93:[5, 88], Operations: ['86-75=11', '77+11=88']
Exploring Operation: 5+88=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[5, 86, 77, 75], Operations: []
Exploring Operation: 86-75=11, Resulting Numbers: [5, 77, 11]
Generated Node #0,1: 93:[5, 77, 11] Operation: 86-75=11
Moving to Node #0,1
Current State: 93:[5, 77, 11], Operations: ['86-75=11']
Exploring Operation: 77+11=88, Resulting Numbers: [5, 88]
Generated Node #0,1,2: 93:[5, 88] Operation: 77+11=88
Moving to Node #0,1,2
Current State: 93:[5, 88], Operations: ['86-75=11', '77+11=88']
Exploring Operation: 5+88=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
86,
12,
5,
87
] | 18 | [
"86-12=74",
"5+87=92",
"92-74=18"
] | Current State: 18:[86, 12, 5, 87], Operations: []
Exploring Operation: 86-12=74, Resulting Numbers: [5, 87, 74]
Generated Node #2: [5, 87, 74] from Operation: 86-12=74
Current State: 18:[5, 87, 74], Operations: ['86-12=74']
Exploring Operation: 5+87=92, Resulting Numbers: [74, 92]
Generated Node #3: [74, 92] from Operation: 5+87=92
Current State: 18:[74, 92], Operations: ['86-12=74', '5+87=92']
Exploring Operation: 92-74=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[86, 12, 5, 87], Operations: []
Exploring Operation: 86-5=81, Resulting Numbers: [12, 87, 81]
Generated Node #0,0: 18:[12, 87, 81] Operation: 86-5=81
Exploring Operation: 87-12=75, Resulting Numbers: [86, 5, 75]
Generated Node #0,1: 18:[86, 5, 75] Operation: 87-12=75
Exploring Operation: 86-12=74, Resulting Numbers: [5, 87, 74]
Generated Node #0,2: 18:[5, 87, 74] Operation: 86-12=74
Exploring Operation: 87-86=1, Resulting Numbers: [12, 5, 1]
Generated Node #0,3: 18:[12, 5, 1] Operation: 87-86=1
Moving to Node #0,3
Current State: 18:[12, 5, 1], Operations: ['87-86=1']
Exploring Operation: 5+1=6, Resulting Numbers: [12, 6]
Generated Node #0,3,0: 18:[12, 6] Operation: 5+1=6
Exploring Operation: 12+5=17, Resulting Numbers: [1, 17]
Generated Node #0,3,1: 18:[1, 17] Operation: 12+5=17
Exploring Operation: 12-5=7, Resulting Numbers: [1, 7]
Generated Node #0,3,2: 18:[1, 7] Operation: 12-5=7
Exploring Operation: 12-1=11, Resulting Numbers: [5, 11]
Generated Node #0,3,3: 18:[5, 11] Operation: 12-1=11
Moving to Node #0,2
Current State: 18:[5, 87, 74], Operations: ['86-12=74']
Exploring Operation: 87-74=13, Resulting Numbers: [5, 13]
Generated Node #0,2,0: 18:[5, 13] Operation: 87-74=13
Exploring Operation: 74-5=69, Resulting Numbers: [87, 69]
Generated Node #0,2,1: 18:[87, 69] Operation: 74-5=69
Exploring Operation: 87-5=82, Resulting Numbers: [74, 82]
Generated Node #0,2,2: 18:[74, 82] Operation: 87-5=82
Exploring Operation: 5+87=92, Resulting Numbers: [74, 92]
Generated Node #0,2,3: 18:[74, 92] Operation: 5+87=92
Moving to Node #0,1
Current State: 18:[86, 5, 75], Operations: ['87-12=75']
Exploring Operation: 75-5=70, Resulting Numbers: [86, 70]
Generated Node #0,1,0: 18:[86, 70] Operation: 75-5=70
Exploring Operation: 86-5=81, Resulting Numbers: [75, 81]
Generated Node #0,1,1: 18:[75, 81] Operation: 86-5=81
Exploring Operation: 86-75=11, Resulting Numbers: [5, 11]
Generated Node #0,1,2: 18:[5, 11] Operation: 86-75=11
Exploring Operation: 75/5=15, Resulting Numbers: [86, 15]
Generated Node #0,1,3: 18:[86, 15] Operation: 75/5=15
Moving to Node #0,0
Current State: 18:[12, 87, 81], Operations: ['86-5=81']
Exploring Operation: 87-81=6, Resulting Numbers: [12, 6]
Generated Node #0,0,0: 18:[12, 6] Operation: 87-81=6
Exploring Operation: 12+87=99, Resulting Numbers: [81, 99]
Generated Node #0,0,1: 18:[81, 99] Operation: 12+87=99
Exploring Operation: 87-12=75, Resulting Numbers: [81, 75]
Generated Node #0,0,2: 18:[81, 75] Operation: 87-12=75
Exploring Operation: 81-12=69, Resulting Numbers: [87, 69]
Generated Node #0,0,3: 18:[87, 69] Operation: 81-12=69
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[12, 6], Operations: ['86-5=81', '87-81=6']
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[86, 12, 5, 87], Operations: []
Exploring Operation: 86-5=81, Resulting Numbers: [12, 87, 81]
Generated Node #0,0: 18:[12, 87, 81] Operation: 86-5=81
Moving to Node #0,0
Current State: 18:[12, 87, 81], Operations: ['86-5=81']
Exploring Operation: 87-81=6, Resulting Numbers: [12, 6]
Generated Node #0,0,0: 18:[12, 6] Operation: 87-81=6
Moving to Node #0,0,0
Current State: 18:[12, 6], Operations: ['86-5=81', '87-81=6']
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_4 | mult_heuristic |
[
53,
28,
99,
37
] | 64 | [
"37-28=9",
"99/9=11",
"53+11=64"
] | Current State: 64:[53, 28, 99, 37], Operations: []
Exploring Operation: 37-28=9, Resulting Numbers: [53, 99, 9]
Generated Node #2: [53, 99, 9] from Operation: 37-28=9
Current State: 64:[53, 99, 9], Operations: ['37-28=9']
Exploring Operation: 99/9=11, Resulting Numbers: [53, 11]
Generated Node #3: [53, 11] from Operation: 99/9=11
Current State: 64:[53, 11], Operations: ['37-28=9', '99/9=11']
Exploring Operation: 53+11=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[53, 28, 99, 37], Operations: []
Exploring Operation: 99-37=62, Resulting Numbers: [53, 28, 62]
Generated Node #0,0: 64:[53, 28, 62] Operation: 99-37=62
Exploring Operation: 99-53=46, Resulting Numbers: [28, 37, 46]
Generated Node #0,1: 64:[28, 37, 46] Operation: 99-53=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[53, 28, 62], Operations: ['99-37=62']
Exploring Operation: 62-53=9, Resulting Numbers: [28, 9]
Generated Node #0,0,0: 64:[28, 9] Operation: 62-53=9
Exploring Operation: 53-28=25, Resulting Numbers: [62, 25]
Generated Node #0,0,1: 64:[62, 25] Operation: 53-28=25
Moving to Node #0,0,0
Current State: 64:[28, 9], Operations: ['99-37=62', '62-53=9']
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,64 unequal: No Solution
Exploring Operation: 28+9=37, Resulting Numbers: [37]
37,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[62, 25], Operations: ['99-37=62', '53-28=25']
Exploring Operation: 62+25=87, Resulting Numbers: [87]
87,64 unequal: No Solution
Exploring Operation: 62-25=37, Resulting Numbers: [37]
37,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[28, 37, 46], Operations: ['99-53=46']
Exploring Operation: 46-28=18, Resulting Numbers: [37, 18]
Generated Node #0,1,0: 64:[37, 18] Operation: 46-28=18
Exploring Operation: 46-37=9, Resulting Numbers: [28, 9]
Generated Node #0,1,1: 64:[28, 9] Operation: 46-37=9
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 64:[28, 9], Operations: ['99-53=46', '46-37=9']
Exploring Operation: 28+9=37, Resulting Numbers: [37]
37,64 unequal: No Solution
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 64:[37, 18], Operations: ['99-53=46', '46-28=18']
Exploring Operation: 37+18=55, Resulting Numbers: [55]
55,64 unequal: No Solution
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
92,
1,
23,
91
] | 96 | [
"92/23=4",
"1+91=92",
"4+92=96"
] | Current State: 96:[92, 1, 23, 91], Operations: []
Exploring Operation: 92/23=4, Resulting Numbers: [1, 91, 4]
Generated Node #2: [1, 91, 4] from Operation: 92/23=4
Current State: 96:[1, 91, 4], Operations: ['92/23=4']
Exploring Operation: 1+91=92, Resulting Numbers: [4, 92]
Generated Node #3: [4, 92] from Operation: 1+91=92
Current State: 96:[4, 92], Operations: ['92/23=4', '1+91=92']
Exploring Operation: 4+92=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[92, 1, 23, 91], Operations: []
Exploring Operation: 92/23=4, Resulting Numbers: [1, 91, 4]
Generated Node #0,0: 96:[1, 91, 4] Operation: 92/23=4
Exploring Operation: 1+91=92, Resulting Numbers: [92, 23, 92]
Generated Node #0,1: 96:[92, 23, 92] Operation: 1+91=92
Exploring Operation: 1+23=24, Resulting Numbers: [92, 91, 24]
Generated Node #0,2: 96:[92, 91, 24] Operation: 1+23=24
Exploring Operation: 92-91=1, Resulting Numbers: [1, 23, 1]
Generated Node #0,3: 96:[1, 23, 1] Operation: 92-91=1
Exploring Operation: 92+1=93, Resulting Numbers: [23, 91, 93]
Generated Node #0,4: 96:[23, 91, 93] Operation: 92+1=93
Start Sub Search at level 1: Moving to Node #0,3
Current State: 96:[1, 23, 1], Operations: ['92-91=1']
Exploring Operation: 1+1=2, Resulting Numbers: [23, 2]
Generated Node #0,3,0: 96:[23, 2] Operation: 1+1=2
Exploring Operation: 23+1=24, Resulting Numbers: [1, 24]
Generated Node #0,3,1: 96:[1, 24] Operation: 23+1=24
Exploring Operation: 23/1=23, Resulting Numbers: [1, 23]
Generated Node #0,3,2: 96:[1, 23] Operation: 23/1=23
Exploring Operation: 1*23=23, Resulting Numbers: [1, 23]
Generated Node #0,3,3: 96:[1, 23] Operation: 1*23=23
Exploring Operation: 1+23=24, Resulting Numbers: [1, 24]
Generated Node #0,3,4: 96:[1, 24] Operation: 1+23=24
Moving to Node #0,3,0
Current State: 96:[23, 2], Operations: ['92-91=1', '1+1=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,96 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,96 unequal: No Solution
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,96 unequal: No Solution
Moving to Node #0,3,4
Current State: 96:[1, 24], Operations: ['92-91=1', '1+23=24']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,96 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Moving to Node #0,3,1
Current State: 96:[1, 24], Operations: ['92-91=1', '23+1=24']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,96 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Moving to Node #0,3,2
Current State: 96:[1, 23], Operations: ['92-91=1', '23/1=23']
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,96 unequal: No Solution
Moving to Node #0,3,3
Current State: 96:[1, 23], Operations: ['92-91=1', '1*23=23']
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,96 unequal: No Solution
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[1, 91, 4], Operations: ['92/23=4']
Exploring Operation: 91+4=95, Resulting Numbers: [1, 95]
Generated Node #0,0,0: 96:[1, 95] Operation: 91+4=95
Exploring Operation: 1*4=4, Resulting Numbers: [91, 4]
Generated Node #0,0,1: 96:[91, 4] Operation: 1*4=4
Exploring Operation: 1+91=92, Resulting Numbers: [4, 92]
Generated Node #0,0,2: 96:[4, 92] Operation: 1+91=92
Exploring Operation: 91/1=91, Resulting Numbers: [4, 91]
Generated Node #0,0,3: 96:[4, 91] Operation: 91/1=91
Exploring Operation: 1*91=91, Resulting Numbers: [4, 91]
Generated Node #0,0,4: 96:[4, 91] Operation: 1*91=91
Moving to Node #0,0,0
Current State: 96:[1, 95], Operations: ['92/23=4', '91+4=95']
Exploring Operation: 1+95=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[92, 1, 23, 91], Operations: []
Exploring Operation: 92/23=4, Resulting Numbers: [1, 91, 4]
Generated Node #0,0: 96:[1, 91, 4] Operation: 92/23=4
Moving to Node #0,0
Current State: 96:[1, 91, 4], Operations: ['92/23=4']
Exploring Operation: 91+4=95, Resulting Numbers: [1, 95]
Generated Node #0,0,0: 96:[1, 95] Operation: 91+4=95
Moving to Node #0,0,0
Current State: 96:[1, 95], Operations: ['92/23=4', '91+4=95']
Exploring Operation: 1+95=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_5 | sum_heuristic |
[
94,
58,
82,
9
] | 78 | [
"94-58=36",
"36/9=4",
"82-4=78"
] | Current State: 78:[94, 58, 82, 9], Operations: []
Exploring Operation: 94-58=36, Resulting Numbers: [82, 9, 36]
Generated Node #2: [82, 9, 36] from Operation: 94-58=36
Current State: 78:[82, 9, 36], Operations: ['94-58=36']
Exploring Operation: 36/9=4, Resulting Numbers: [82, 4]
Generated Node #3: [82, 4] from Operation: 36/9=4
Current State: 78:[82, 4], Operations: ['94-58=36', '36/9=4']
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[94, 58, 82, 9], Operations: []
Exploring Operation: 94-82=12, Resulting Numbers: [58, 9, 12]
Generated Node #0,0: 78:[58, 9, 12] Operation: 94-82=12
Exploring Operation: 82-58=24, Resulting Numbers: [94, 9, 24]
Generated Node #0,1: 78:[94, 9, 24] Operation: 82-58=24
Exploring Operation: 94-58=36, Resulting Numbers: [82, 9, 36]
Generated Node #0,2: 78:[82, 9, 36] Operation: 94-58=36
Exploring Operation: 94-9=85, Resulting Numbers: [58, 82, 85]
Generated Node #0,3: 78:[58, 82, 85] Operation: 94-9=85
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[82, 9, 36], Operations: ['94-58=36']
Exploring Operation: 82-36=46, Resulting Numbers: [9, 46]
Generated Node #0,2,0: 78:[9, 46] Operation: 82-36=46
Exploring Operation: 36-9=27, Resulting Numbers: [82, 27]
Generated Node #0,2,1: 78:[82, 27] Operation: 36-9=27
Exploring Operation: 36/9=4, Resulting Numbers: [82, 4]
Generated Node #0,2,2: 78:[82, 4] Operation: 36/9=4
Exploring Operation: 82-9=73, Resulting Numbers: [36, 73]
Generated Node #0,2,3: 78:[36, 73] Operation: 82-9=73
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 78:[82, 27], Operations: ['94-58=36', '36-9=27']
Exploring Operation: 82-27=55, Resulting Numbers: [55]
55,78 unequal: No Solution
Exploring Operation: 82+27=109, Resulting Numbers: [109]
109,78 unequal: No Solution
Exploring Operation: 82*27=2214, Resulting Numbers: [2214]
2214,78 unequal: No Solution
No 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: 78:[82, 4], Operations: ['94-58=36', '36/9=4']
Exploring Operation: 82*4=328, Resulting Numbers: [328]
328,78 unequal: No Solution
Exploring Operation: 82+4=86, Resulting Numbers: [86]
86,78 unequal: No Solution
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[94, 58, 82, 9], Operations: []
Exploring Operation: 94-58=36, Resulting Numbers: [82, 9, 36]
Generated Node #0,2: 78:[82, 9, 36] Operation: 94-58=36
Moving to Node #0,2
Current State: 78:[82, 9, 36], Operations: ['94-58=36']
Exploring Operation: 36/9=4, Resulting Numbers: [82, 4]
Generated Node #0,2,2: 78:[82, 4] Operation: 36/9=4
Moving to Node #0,2,2
Current State: 78:[82, 4], Operations: ['94-58=36', '36/9=4']
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
84,
99,
75,
10
] | 75 | [
"99-84=15",
"10*15=150",
"150-75=75"
] | Current State: 75:[84, 99, 75, 10], Operations: []
Exploring Operation: 99-84=15, Resulting Numbers: [75, 10, 15]
Generated Node #2: [75, 10, 15] from Operation: 99-84=15
Current State: 75:[75, 10, 15], Operations: ['99-84=15']
Exploring Operation: 10*15=150, Resulting Numbers: [75, 150]
Generated Node #3: [75, 150] from Operation: 10*15=150
Current State: 75:[75, 150], Operations: ['99-84=15', '10*15=150']
Exploring Operation: 150-75=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[84, 99, 75, 10], Operations: []
Exploring Operation: 99-10=89, Resulting Numbers: [84, 75, 89]
Generated Node #0,0: 75:[84, 75, 89] Operation: 99-10=89
Exploring Operation: 84-75=9, Resulting Numbers: [99, 10, 9]
Generated Node #0,1: 75:[99, 10, 9] Operation: 84-75=9
Exploring Operation: 84-10=74, Resulting Numbers: [99, 75, 74]
Generated Node #0,2: 75:[99, 75, 74] Operation: 84-10=74
Exploring Operation: 99-84=15, Resulting Numbers: [75, 10, 15]
Generated Node #0,3: 75:[75, 10, 15] Operation: 99-84=15
Exploring Operation: 99-75=24, Resulting Numbers: [84, 10, 24]
Generated Node #0,4: 75:[84, 10, 24] Operation: 99-75=24
Start Sub Search at level 1: Moving to Node #0,3
Current State: 75:[75, 10, 15], Operations: ['99-84=15']
Exploring Operation: 75+10=85, Resulting Numbers: [15, 85]
Generated Node #0,3,0: 75:[15, 85] Operation: 75+10=85
Exploring Operation: 75/15=5, Resulting Numbers: [10, 5]
Generated Node #0,3,1: 75:[10, 5] Operation: 75/15=5
Exploring Operation: 15-10=5, Resulting Numbers: [75, 5]
Generated Node #0,3,2: 75:[75, 5] Operation: 15-10=5
Exploring Operation: 75-10=65, Resulting Numbers: [15, 65]
Generated Node #0,3,3: 75:[15, 65] Operation: 75-10=65
Exploring Operation: 10+15=25, Resulting Numbers: [75, 25]
Generated Node #0,3,4: 75:[75, 25] Operation: 10+15=25
Moving to Node #0,3,2
Current State: 75:[75, 5], Operations: ['99-84=15', '15-10=5']
Exploring Operation: 75+5=80, Resulting Numbers: [80]
80,75 unequal: No Solution
Exploring Operation: 75*5=375, Resulting Numbers: [375]
375,75 unequal: No Solution
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,75 unequal: No Solution
Exploring Operation: 75-5=70, Resulting Numbers: [70]
70,75 unequal: No Solution
Moving to Node #0,3,4
Current State: 75:[75, 25], Operations: ['99-84=15', '10+15=25']
Exploring Operation: 75+25=100, Resulting Numbers: [100]
100,75 unequal: No Solution
Exploring Operation: 75-25=50, Resulting Numbers: [50]
50,75 unequal: No Solution
Exploring Operation: 75/25=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 75*25=1875, Resulting Numbers: [1875]
1875,75 unequal: No Solution
Moving to Node #0,3,1
Current State: 75:[10, 5], Operations: ['99-84=15', '75/15=5']
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,75 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,75 unequal: No Solution
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,75 unequal: No Solution
Moving to Node #0,3,0
Current State: 75:[15, 85], Operations: ['99-84=15', '75+10=85']
Exploring Operation: 15*85=1275, Resulting Numbers: [1275]
1275,75 unequal: No Solution
Exploring Operation: 85-15=70, Resulting Numbers: [70]
70,75 unequal: No Solution
Exploring Operation: 15+85=100, Resulting Numbers: [100]
100,75 unequal: No Solution
Moving to Node #0,3,3
Current State: 75:[15, 65], Operations: ['99-84=15', '75-10=65']
Exploring Operation: 65-15=50, Resulting Numbers: [50]
50,75 unequal: No Solution
Exploring Operation: 15*65=975, Resulting Numbers: [975]
975,75 unequal: No Solution
Exploring Operation: 15+65=80, Resulting Numbers: [80]
80,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 75:[84, 10, 24], Operations: ['99-75=24']
Exploring Operation: 10+24=34, Resulting Numbers: [84, 34]
Generated Node #0,4,0: 75:[84, 34] Operation: 10+24=34
Exploring Operation: 84-10=74, Resulting Numbers: [24, 74]
Generated Node #0,4,1: 75:[24, 74] Operation: 84-10=74
Exploring Operation: 84-24=60, Resulting Numbers: [10, 60]
Generated Node #0,4,2: 75:[10, 60] Operation: 84-24=60
Exploring Operation: 24-10=14, Resulting Numbers: [84, 14]
Generated Node #0,4,3: 75:[84, 14] Operation: 24-10=14
Exploring Operation: 84+10=94, Resulting Numbers: [24, 94]
Generated Node #0,4,4: 75:[24, 94] Operation: 84+10=94
Moving to Node #0,4,1
Current State: 75:[24, 74], Operations: ['99-75=24', '84-10=74']
Exploring Operation: 24+74=98, Resulting Numbers: [98]
98,75 unequal: No Solution
Exploring Operation: 74-24=50, Resulting Numbers: [50]
50,75 unequal: No Solution
Exploring Operation: 24*74=1776, Resulting Numbers: [1776]
1776,75 unequal: No Solution
Moving to Node #0,4,3
Current State: 75:[84, 14], Operations: ['99-75=24', '24-10=14']
Exploring Operation: 84/14=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 84+14=98, Resulting Numbers: [98]
98,75 unequal: No Solution
Exploring Operation: 84-14=70, Resulting Numbers: [70]
70,75 unequal: No Solution
Exploring Operation: 84*14=1176, Resulting Numbers: [1176]
1176,75 unequal: No Solution
Moving to Node #0,4,0
Current State: 75:[84, 34], Operations: ['99-75=24', '10+24=34']
Exploring Operation: 84*34=2856, Resulting Numbers: [2856]
2856,75 unequal: No Solution
Exploring Operation: 84+34=118, Resulting Numbers: [118]
118,75 unequal: No Solution
Exploring Operation: 84-34=50, Resulting Numbers: [50]
50,75 unequal: No Solution
Moving to Node #0,4,2
Current State: 75:[10, 60], Operations: ['99-75=24', '84-24=60']
Exploring Operation: 60/10=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 10+60=70, Resulting Numbers: [70]
70,75 unequal: No Solution
Exploring Operation: 60-10=50, Resulting Numbers: [50]
50,75 unequal: No Solution
Exploring Operation: 10*60=600, Resulting Numbers: [600]
600,75 unequal: No Solution
Moving to Node #0,4,4
Current State: 75:[24, 94], Operations: ['99-75=24', '84+10=94']
Exploring Operation: 24+94=118, Resulting Numbers: [118]
118,75 unequal: No Solution
Exploring Operation: 94-24=70, Resulting Numbers: [70]
70,75 unequal: No Solution
Exploring Operation: 24*94=2256, Resulting Numbers: [2256]
2256,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[84, 75, 89], Operations: ['99-10=89']
Exploring Operation: 89-75=14, Resulting Numbers: [84, 14]
Generated Node #0,0,0: 75:[84, 14] Operation: 89-75=14
Exploring Operation: 89-84=5, Resulting Numbers: [75, 5]
Generated Node #0,0,1: 75:[75, 5] Operation: 89-84=5
Exploring Operation: 84+75=159, Resulting Numbers: [89, 159]
Generated Node #0,0,2: 75:[89, 159] Operation: 84+75=159
Exploring Operation: 84+89=173, Resulting Numbers: [75, 173]
Generated Node #0,0,3: 75:[75, 173] Operation: 84+89=173
Exploring Operation: 84-75=9, Resulting Numbers: [89, 9]
Generated Node #0,0,4: 75:[89, 9] Operation: 84-75=9
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 75:[75, 5], Operations: ['99-10=89', '89-84=5']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,75 unequal: No Solution
Exploring Operation: 75-5=70, Resulting Numbers: [70]
70,75 unequal: No Solution
Exploring Operation: 75*5=375, Resulting Numbers: [375]
375,75 unequal: No Solution
Exploring Operation: 75+5=80, Resulting Numbers: [80]
80,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[84, 14], Operations: ['99-10=89', '89-75=14']
Exploring Operation: 84*14=1176, Resulting Numbers: [1176]
1176,75 unequal: No Solution
Exploring Operation: 84/14=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 84-14=70, Resulting Numbers: [70]
70,75 unequal: No Solution
Exploring Operation: 84+14=98, Resulting Numbers: [98]
98,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 75:[89, 9], Operations: ['99-10=89', '84-75=9']
Exploring Operation: 89*9=801, Resulting Numbers: [801]
801,75 unequal: No Solution
Exploring Operation: 89+9=98, Resulting Numbers: [98]
98,75 unequal: No Solution
Exploring Operation: 89-9=80, Resulting Numbers: [80]
80,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 75:[89, 159], Operations: ['99-10=89', '84+75=159']
Exploring Operation: 89*159=14151, Resulting Numbers: [14151]
14151,75 unequal: No Solution
Exploring Operation: 89+159=248, Resulting Numbers: [248]
248,75 unequal: No Solution
Exploring Operation: 159-89=70, Resulting Numbers: [70]
70,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 75:[75, 173], Operations: ['99-10=89', '84+89=173']
Exploring Operation: 75*173=12975, Resulting Numbers: [12975]
12975,75 unequal: No Solution
Exploring Operation: 173-75=98, Resulting Numbers: [98]
98,75 unequal: No Solution
Exploring Operation: 75+173=248, Resulting Numbers: [248]
248,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[99, 75, 74], Operations: ['84-10=74']
Exploring Operation: 75+74=149, Resulting Numbers: [99, 149]
Generated Node #0,2,0: 75:[99, 149] Operation: 75+74=149
Exploring Operation: 99+74=173, Resulting Numbers: [75, 173]
Generated Node #0,2,1: 75:[75, 173] Operation: 99+74=173
Exploring Operation: 99-75=24, Resulting Numbers: [74, 24]
Generated Node #0,2,2: 75:[74, 24] Operation: 99-75=24
Exploring Operation: 99-74=25, Resulting Numbers: [75, 25]
Generated Node #0,2,3: 75:[75, 25] Operation: 99-74=25
Exploring Operation: 75-74=1, Resulting Numbers: [99, 1]
Generated Node #0,2,4: 75:[99, 1] Operation: 75-74=1
Moving to Node #0,2,3
Current State: 75:[75, 25], Operations: ['84-10=74', '99-74=25']
Exploring Operation: 75/25=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 75-25=50, Resulting Numbers: [50]
50,75 unequal: No Solution
Exploring Operation: 75*25=1875, Resulting Numbers: [1875]
1875,75 unequal: No Solution
Exploring Operation: 75+25=100, Resulting Numbers: [100]
100,75 unequal: No Solution
Moving to Node #0,2,2
Current State: 75:[74, 24], Operations: ['84-10=74', '99-75=24']
Exploring Operation: 74+24=98, Resulting Numbers: [98]
98,75 unequal: No Solution
Exploring Operation: 74*24=1776, Resulting Numbers: [1776]
1776,75 unequal: No Solution
Exploring Operation: 74-24=50, Resulting Numbers: [50]
50,75 unequal: No Solution
Moving to Node #0,2,4
Current State: 75:[99, 1], Operations: ['84-10=74', '75-74=1']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,75 unequal: No Solution
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,75 unequal: No Solution
Exploring Operation: 99/1=99, Resulting Numbers: [99]
99,75 unequal: No Solution
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,75 unequal: No Solution
Moving to Node #0,2,0
Current State: 75:[99, 149], Operations: ['84-10=74', '75+74=149']
Exploring Operation: 99*149=14751, Resulting Numbers: [14751]
14751,75 unequal: No Solution
Exploring Operation: 99+149=248, Resulting Numbers: [248]
248,75 unequal: No Solution
Exploring Operation: 149-99=50, Resulting Numbers: [50]
50,75 unequal: No Solution
Moving to Node #0,2,1
Current State: 75:[75, 173], Operations: ['84-10=74', '99+74=173']
Exploring Operation: 75+173=248, Resulting Numbers: [248]
248,75 unequal: No Solution
Exploring Operation: 173-75=98, Resulting Numbers: [98]
98,75 unequal: No Solution
Exploring Operation: 75*173=12975, Resulting Numbers: [12975]
12975,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[99, 10, 9], Operations: ['84-75=9']
Exploring Operation: 10-9=1, Resulting Numbers: [99, 1]
Generated Node #0,1,0: 75:[99, 1] Operation: 10-9=1
Exploring Operation: 10+9=19, Resulting Numbers: [99, 19]
Generated Node #0,1,1: 75:[99, 19] Operation: 10+9=19
Exploring Operation: 99-10=89, Resulting Numbers: [9, 89]
Generated Node #0,1,2: 75:[9, 89] Operation: 99-10=89
Exploring Operation: 99-9=90, Resulting Numbers: [10, 90]
Generated Node #0,1,3: 75:[10, 90] Operation: 99-9=90
Exploring Operation: 99/9=11, Resulting Numbers: [10, 11]
Generated Node #0,1,4: 75:[10, 11] Operation: 99/9=11
Moving to Node #0,1,4
Current State: 75:[10, 11], Operations: ['84-75=9', '99/9=11']
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,75 unequal: No Solution
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,75 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[9, 89], Operations: ['84-75=9', '99-10=89']
Exploring Operation: 9+89=98, Resulting Numbers: [98]
98,75 unequal: No Solution
Exploring Operation: 9*89=801, Resulting Numbers: [801]
801,75 unequal: No Solution
Exploring Operation: 89-9=80, Resulting Numbers: [80]
80,75 unequal: No Solution
Moving to Node #0,1,3
Current State: 75:[10, 90], Operations: ['84-75=9', '99-9=90']
Exploring Operation: 90/10=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Exploring Operation: 10*90=900, Resulting Numbers: [900]
900,75 unequal: No Solution
Exploring Operation: 10+90=100, Resulting Numbers: [100]
100,75 unequal: No Solution
Exploring Operation: 90-10=80, Resulting Numbers: [80]
80,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[99, 1], Operations: ['84-75=9', '10-9=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,75 unequal: No Solution
Exploring Operation: 99/1=99, Resulting Numbers: [99]
99,75 unequal: No Solution
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,75 unequal: No Solution
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[99, 19], Operations: ['84-75=9', '10+9=19']
Exploring Operation: 99-19=80, Resulting Numbers: [80]
80,75 unequal: No Solution
Exploring Operation: 99*19=1881, Resulting Numbers: [1881]
1881,75 unequal: No Solution
Exploring Operation: 99+19=118, Resulting Numbers: [118]
118,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
66,
20,
73,
51
] | 33 | [
"73-20=53",
"53-51=2",
"66/2=33"
] | Current State: 33:[66, 20, 73, 51], Operations: []
Exploring Operation: 73-20=53, Resulting Numbers: [66, 51, 53]
Generated Node #2: [66, 51, 53] from Operation: 73-20=53
Current State: 33:[66, 51, 53], Operations: ['73-20=53']
Exploring Operation: 53-51=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 53-51=2
Current State: 33:[66, 2], Operations: ['73-20=53', '53-51=2']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[66, 20, 73, 51], Operations: []
Exploring Operation: 73-66=7, Resulting Numbers: [20, 51, 7]
Generated Node #0,0: 33:[20, 51, 7] Operation: 73-66=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[20, 51, 7], Operations: ['73-66=7']
Exploring Operation: 51-20=31, Resulting Numbers: [7, 31]
Generated Node #0,0,0: 33:[7, 31] Operation: 51-20=31
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 33:[7, 31], Operations: ['73-66=7', '51-20=31']
Exploring Operation: 7+31=38, Resulting Numbers: [38]
38,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
58,
59,
9,
33
] | 75 | [
"58+59=117",
"9+33=42",
"117-42=75"
] | Current State: 75:[58, 59, 9, 33], Operations: []
Exploring Operation: 58+59=117, Resulting Numbers: [9, 33, 117]
Generated Node #2: [9, 33, 117] from Operation: 58+59=117
Current State: 75:[9, 33, 117], Operations: ['58+59=117']
Exploring Operation: 9+33=42, Resulting Numbers: [117, 42]
Generated Node #3: [117, 42] from Operation: 9+33=42
Current State: 75:[117, 42], Operations: ['58+59=117', '9+33=42']
Exploring Operation: 117-42=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[58, 59, 9, 33], Operations: []
Exploring Operation: 59-33=26, Resulting Numbers: [58, 9, 26]
Generated Node #0,0: 75:[58, 9, 26] Operation: 59-33=26
Exploring Operation: 59-58=1, Resulting Numbers: [9, 33, 1]
Generated Node #0,1: 75:[9, 33, 1] Operation: 59-58=1
Exploring Operation: 58-33=25, Resulting Numbers: [59, 9, 25]
Generated Node #0,2: 75:[59, 9, 25] Operation: 58-33=25
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[9, 33, 1], Operations: ['59-58=1']
Exploring Operation: 33-1=32, Resulting Numbers: [9, 32]
Generated Node #0,1,0: 75:[9, 32] Operation: 33-1=32
Exploring Operation: 9-1=8, Resulting Numbers: [33, 8]
Generated Node #0,1,1: 75:[33, 8] Operation: 9-1=8
Exploring Operation: 33-9=24, Resulting Numbers: [1, 24]
Generated Node #0,1,2: 75:[1, 24] Operation: 33-9=24
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 75:[1, 24], Operations: ['59-58=1', '33-9=24']
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,75 unequal: No Solution
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 75:[9, 32], Operations: ['59-58=1', '33-1=32']
Exploring Operation: 9*32=288, Resulting Numbers: [288]
288,75 unequal: No Solution
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,75 unequal: No Solution
Exploring Operation: 9+32=41, Resulting Numbers: [41]
41,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 75:[33, 8], Operations: ['59-58=1', '9-1=8']
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,75 unequal: No Solution
Exploring Operation: 33+8=41, Resulting Numbers: [41]
41,75 unequal: No Solution
Exploring Operation: 33*8=264, Resulting Numbers: [264]
264,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[59, 9, 25], Operations: ['58-33=25']
Exploring Operation: 59+25=84, Resulting Numbers: [9, 84]
Generated Node #0,2,0: 75:[9, 84] Operation: 59+25=84
Exploring Operation: 59+9=68, Resulting Numbers: [25, 68]
Generated Node #0,2,1: 75:[25, 68] Operation: 59+9=68
Exploring Operation: 59-25=34, Resulting Numbers: [9, 34]
Generated Node #0,2,2: 75:[9, 34] Operation: 59-25=34
Moving to Node #0,2,1
Current State: 75:[25, 68], Operations: ['58-33=25', '59+9=68']
Exploring Operation: 25*68=1700, Resulting Numbers: [1700]
1700,75 unequal: No Solution
Exploring Operation: 25+68=93, Resulting Numbers: [93]
93,75 unequal: No Solution
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,75 unequal: No Solution
Moving to Node #0,2,0
Current State: 75:[9, 84], Operations: ['58-33=25', '59+25=84']
Exploring Operation: 9+84=93, Resulting Numbers: [93]
93,75 unequal: No Solution
Exploring Operation: 9*84=756, Resulting Numbers: [756]
756,75 unequal: No Solution
Exploring Operation: 84-9=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[58, 59, 9, 33], Operations: []
Exploring Operation: 58-33=25, Resulting Numbers: [59, 9, 25]
Generated Node #0,2: 75:[59, 9, 25] Operation: 58-33=25
Moving to Node #0,2
Current State: 75:[59, 9, 25], Operations: ['58-33=25']
Exploring Operation: 59+25=84, Resulting Numbers: [9, 84]
Generated Node #0,2,0: 75:[9, 84] Operation: 59+25=84
Moving to Node #0,2,0
Current State: 75:[9, 84], Operations: ['58-33=25', '59+25=84']
Exploring Operation: 84-9=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_3 | sum_heuristic |
[
22,
41,
20,
49
] | 88 | [
"41-22=19",
"20+49=69",
"19+69=88"
] | Current State: 88:[22, 41, 20, 49], Operations: []
Exploring Operation: 41-22=19, Resulting Numbers: [20, 49, 19]
Generated Node #2: [20, 49, 19] from Operation: 41-22=19
Current State: 88:[20, 49, 19], Operations: ['41-22=19']
Exploring Operation: 20+49=69, Resulting Numbers: [19, 69]
Generated Node #3: [19, 69] from Operation: 20+49=69
Current State: 88:[19, 69], Operations: ['41-22=19', '20+49=69']
Exploring Operation: 19+69=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[22, 41, 20, 49], Operations: []
Exploring Operation: 41-20=21, Resulting Numbers: [22, 49, 21]
Generated Node #0,0: 88:[22, 49, 21] Operation: 41-20=21
Exploring Operation: 22-20=2, Resulting Numbers: [41, 49, 2]
Generated Node #0,1: 88:[41, 49, 2] Operation: 22-20=2
Exploring Operation: 49-41=8, Resulting Numbers: [22, 20, 8]
Generated Node #0,2: 88:[22, 20, 8] Operation: 49-41=8
Exploring Operation: 41+49=90, Resulting Numbers: [22, 20, 90]
Generated Node #0,3: 88:[22, 20, 90] Operation: 41+49=90
Moving to Node #0,2
Current State: 88:[22, 20, 8], Operations: ['49-41=8']
Exploring Operation: 22-8=14, Resulting Numbers: [20, 14]
Generated Node #0,2,0: 88:[20, 14] Operation: 22-8=14
Exploring Operation: 20-8=12, Resulting Numbers: [22, 12]
Generated Node #0,2,1: 88:[22, 12] Operation: 20-8=12
Exploring Operation: 22-20=2, Resulting Numbers: [8, 2]
Generated Node #0,2,2: 88:[8, 2] Operation: 22-20=2
Exploring Operation: 22+20=42, Resulting Numbers: [8, 42]
Generated Node #0,2,3: 88:[8, 42] Operation: 22+20=42
Moving to Node #0,3
Current State: 88:[22, 20, 90], Operations: ['41+49=90']
Exploring Operation: 90-22=68, Resulting Numbers: [20, 68]
Generated Node #0,3,0: 88:[20, 68] Operation: 90-22=68
Exploring Operation: 22-20=2, Resulting Numbers: [90, 2]
Generated Node #0,3,1: 88:[90, 2] Operation: 22-20=2
Exploring Operation: 90-20=70, Resulting Numbers: [22, 70]
Generated Node #0,3,2: 88:[22, 70] Operation: 90-20=70
Exploring Operation: 22+20=42, Resulting Numbers: [90, 42]
Generated Node #0,3,3: 88:[90, 42] Operation: 22+20=42
Moving to Node #0,0
Current State: 88:[22, 49, 21], Operations: ['41-20=21']
Exploring Operation: 22+21=43, Resulting Numbers: [49, 43]
Generated Node #0,0,0: 88:[49, 43] Operation: 22+21=43
Exploring Operation: 49-22=27, Resulting Numbers: [21, 27]
Generated Node #0,0,1: 88:[21, 27] Operation: 49-22=27
Exploring Operation: 49-21=28, Resulting Numbers: [22, 28]
Generated Node #0,0,2: 88:[22, 28] Operation: 49-21=28
Exploring Operation: 22-21=1, Resulting Numbers: [49, 1]
Generated Node #0,0,3: 88:[49, 1] Operation: 22-21=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[49, 43], Operations: ['41-20=21', '22+21=43']
Exploring Operation: 49*43=2107, Resulting Numbers: [2107]
2107,88 unequal: No Solution
Exploring Operation: 49-43=6, Resulting Numbers: [6]
6,88 unequal: No Solution
Exploring Operation: 49+43=92, Resulting Numbers: [92]
92,88 unequal: No Solution
No 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: 88:[21, 27], Operations: ['41-20=21', '49-22=27']
Exploring Operation: 21+27=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 27-21=6, Resulting Numbers: [6]
6,88 unequal: No Solution
Exploring Operation: 21*27=567, Resulting Numbers: [567]
567,88 unequal: No Solution
No 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: 88:[22, 28], Operations: ['41-20=21', '49-21=28']
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,88 unequal: No Solution
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,88 unequal: No Solution
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,88 unequal: No Solution
No 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: 88:[49, 1], Operations: ['41-20=21', '22-21=1']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,88 unequal: No Solution
Exploring Operation: 49/1=49, Resulting Numbers: [49]
49,88 unequal: No Solution
Exploring Operation: 49+1=50, Resulting Numbers: [50]
50,88 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: 88:[41, 49, 2], Operations: ['22-20=2']
Exploring Operation: 49-2=47, Resulting Numbers: [41, 47]
Generated Node #0,1,0: 88:[41, 47] Operation: 49-2=47
Exploring Operation: 49-41=8, Resulting Numbers: [2, 8]
Generated Node #0,1,1: 88:[2, 8] Operation: 49-41=8
Exploring Operation: 41+2=43, Resulting Numbers: [49, 43]
Generated Node #0,1,2: 88:[49, 43] Operation: 41+2=43
Exploring Operation: 41+49=90, Resulting Numbers: [2, 90]
Generated Node #0,1,3: 88:[2, 90] Operation: 41+49=90
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 88:[2, 8], Operations: ['22-20=2', '49-41=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,88 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,88 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,88 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,88 unequal: No Solution
No 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: 88:[2, 90], Operations: ['22-20=2', '41+49=90']
Exploring Operation: 2+90=92, Resulting Numbers: [92]
92,88 unequal: No Solution
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,88 unequal: No Solution
Exploring Operation: 2*90=180, Resulting Numbers: [180]
180,88 unequal: No Solution
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[22, 41, 20, 49], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [41, 49, 2]
Generated Node #0,1: 88:[41, 49, 2] Operation: 22-20=2
Moving to Node #0,1
Current State: 88:[41, 49, 2], Operations: ['22-20=2']
Exploring Operation: 41+49=90, Resulting Numbers: [2, 90]
Generated Node #0,1,3: 88:[2, 90] Operation: 41+49=90
Moving to Node #0,1,3
Current State: 88:[2, 90], Operations: ['22-20=2', '41+49=90']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.960938 | hs_4 | mult_heuristic |
[
49,
17,
51,
15
] | 30 | [
"49+17=66",
"51-15=36",
"66-36=30"
] | Current State: 30:[49, 17, 51, 15], Operations: []
Exploring Operation: 49+17=66, Resulting Numbers: [51, 15, 66]
Generated Node #2: [51, 15, 66] from Operation: 49+17=66
Current State: 30:[51, 15, 66], Operations: ['49+17=66']
Exploring Operation: 51-15=36, Resulting Numbers: [66, 36]
Generated Node #3: [66, 36] from Operation: 51-15=36
Current State: 30:[66, 36], Operations: ['49+17=66', '51-15=36']
Exploring Operation: 66-36=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[49, 17, 51, 15], Operations: []
Exploring Operation: 49-17=32, Resulting Numbers: [51, 15, 32]
Generated Node #0,0: 30:[51, 15, 32] Operation: 49-17=32
Exploring Operation: 51-17=34, Resulting Numbers: [49, 15, 34]
Generated Node #0,1: 30:[49, 15, 34] Operation: 51-17=34
Exploring Operation: 51-49=2, Resulting Numbers: [17, 15, 2]
Generated Node #0,2: 30:[17, 15, 2] Operation: 51-49=2
Exploring Operation: 51/17=3, Resulting Numbers: [49, 15, 3]
Generated Node #0,3: 30:[49, 15, 3] Operation: 51/17=3
Moving to Node #0,2
Current State: 30:[17, 15, 2], Operations: ['51-49=2']
Exploring Operation: 15*2=30, Resulting Numbers: [17, 30]
Generated Node #0,2,0: 30:[17, 30] Operation: 15*2=30
Exploring Operation: 17+15=32, Resulting Numbers: [2, 32]
Generated Node #0,2,1: 30:[2, 32] Operation: 17+15=32
Exploring Operation: 17-2=15, Resulting Numbers: [15, 15]
Generated Node #0,2,2: 30:[15, 15] Operation: 17-2=15
Exploring Operation: 17-15=2, Resulting Numbers: [2, 2]
Generated Node #0,2,3: 30:[2, 2] Operation: 17-15=2
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 30:[15, 15], Operations: ['51-49=2', '17-2=15']
Exploring Operation: 15*15=225, Resulting Numbers: [225]
225,30 unequal: No Solution
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[49, 17, 51, 15], Operations: []
Exploring Operation: 51-49=2, Resulting Numbers: [17, 15, 2]
Generated Node #0,2: 30:[17, 15, 2] Operation: 51-49=2
Moving to Node #0,2
Current State: 30:[17, 15, 2], Operations: ['51-49=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15, 15]
Generated Node #0,2,2: 30:[15, 15] Operation: 17-2=15
Moving to Node #0,2,2
Current State: 30:[15, 15], Operations: ['51-49=2', '17-2=15']
Exploring Operation: 15+15=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
61,
2,
2,
13
] | 47 | [
"61-13=48",
"2/2=1",
"48-1=47"
] | Current State: 47:[61, 2, 2, 13], Operations: []
Exploring Operation: 61-13=48, Resulting Numbers: [2, 2, 48]
Generated Node #2: [2, 2, 48] from Operation: 61-13=48
Current State: 47:[2, 2, 48], Operations: ['61-13=48']
Exploring Operation: 2/2=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 2/2=1
Current State: 47:[48, 1], Operations: ['61-13=48', '2/2=1']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[61, 2, 2, 13], Operations: []
Exploring Operation: 2*13=26, Resulting Numbers: [61, 2, 26]
Generated Node #0,0: 47:[61, 2, 26] Operation: 2*13=26
Moving to Node #0,0
Current State: 47:[61, 2, 26], Operations: ['2*13=26']
Exploring Operation: 2*26=52, Resulting Numbers: [61, 52]
Generated Node #0,0,0: 47:[61, 52] Operation: 2*26=52
Moving to Node #0,0,0
Current State: 47:[61, 52], Operations: ['2*13=26', '2*26=52']
Exploring Operation: 61-52=9, Resulting Numbers: [9]
9,47 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
76,
53,
88,
92
] | 84 | [
"76-53=23",
"92/23=4",
"88-4=84"
] | Current State: 84:[76, 53, 88, 92], Operations: []
Exploring Operation: 76-53=23, Resulting Numbers: [88, 92, 23]
Generated Node #2: [88, 92, 23] from Operation: 76-53=23
Current State: 84:[88, 92, 23], Operations: ['76-53=23']
Exploring Operation: 92/23=4, Resulting Numbers: [88, 4]
Generated Node #3: [88, 4] from Operation: 92/23=4
Current State: 84:[88, 4], Operations: ['76-53=23', '92/23=4']
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[76, 53, 88, 92], Operations: []
Exploring Operation: 76-53=23, Resulting Numbers: [88, 92, 23]
Generated Node #0,0: 84:[88, 92, 23] Operation: 76-53=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[88, 92, 23], Operations: ['76-53=23']
Exploring Operation: 92-88=4, Resulting Numbers: [23, 4]
Generated Node #0,0,0: 84:[23, 4] Operation: 92-88=4
Moving to Node #0,0,0
Current State: 84:[23, 4], Operations: ['76-53=23', '92-88=4']
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
31,
39,
84,
74
] | 60 | [
"31+39=70",
"84-74=10",
"70-10=60"
] | Current State: 60:[31, 39, 84, 74], Operations: []
Exploring Operation: 31+39=70, Resulting Numbers: [84, 74, 70]
Generated Node #2: [84, 74, 70] from Operation: 31+39=70
Current State: 60:[84, 74, 70], Operations: ['31+39=70']
Exploring Operation: 84-74=10, Resulting Numbers: [70, 10]
Generated Node #3: [70, 10] from Operation: 84-74=10
Current State: 60:[70, 10], Operations: ['31+39=70', '84-74=10']
Exploring Operation: 70-10=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[31, 39, 84, 74], Operations: []
Exploring Operation: 84-74=10, Resulting Numbers: [31, 39, 10]
Generated Node #0,0: 60:[31, 39, 10] Operation: 84-74=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[31, 39, 10], Operations: ['84-74=10']
Exploring Operation: 39-31=8, Resulting Numbers: [10, 8]
Generated Node #0,0,0: 60:[10, 8] Operation: 39-31=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[10, 8], Operations: ['84-74=10', '39-31=8']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
49,
51,
20,
27
] | 93 | [
"49+51=100",
"27-20=7",
"100-7=93"
] | Current State: 93:[49, 51, 20, 27], Operations: []
Exploring Operation: 49+51=100, Resulting Numbers: [20, 27, 100]
Generated Node #2: [20, 27, 100] from Operation: 49+51=100
Current State: 93:[20, 27, 100], Operations: ['49+51=100']
Exploring Operation: 27-20=7, Resulting Numbers: [100, 7]
Generated Node #3: [100, 7] from Operation: 27-20=7
Current State: 93:[100, 7], Operations: ['49+51=100', '27-20=7']
Exploring Operation: 100-7=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[49, 51, 20, 27], Operations: []
Exploring Operation: 51-49=2, Resulting Numbers: [20, 27, 2]
Generated Node #0,0: 93:[20, 27, 2] Operation: 51-49=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[20, 27, 2], Operations: ['51-49=2']
Exploring Operation: 27-20=7, Resulting Numbers: [2, 7]
Generated Node #0,0,0: 93:[2, 7] Operation: 27-20=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 93:[2, 7], Operations: ['51-49=2', '27-20=7']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,93 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 | sum_heuristic |
[
83,
2,
15,
57
] | 55 | [
"83+57=140",
"140/2=70",
"70-15=55"
] | Current State: 55:[83, 2, 15, 57], Operations: []
Exploring Operation: 83+57=140, Resulting Numbers: [2, 15, 140]
Generated Node #2: [2, 15, 140] from Operation: 83+57=140
Current State: 55:[2, 15, 140], Operations: ['83+57=140']
Exploring Operation: 140/2=70, Resulting Numbers: [15, 70]
Generated Node #3: [15, 70] from Operation: 140/2=70
Current State: 55:[15, 70], Operations: ['83+57=140', '140/2=70']
Exploring Operation: 70-15=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[83, 2, 15, 57], Operations: []
Exploring Operation: 83-15=68, Resulting Numbers: [2, 57, 68]
Generated Node #0,0: 55:[2, 57, 68] Operation: 83-15=68
Exploring Operation: 83-57=26, Resulting Numbers: [2, 15, 26]
Generated Node #0,1: 55:[2, 15, 26] Operation: 83-57=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[2, 57, 68], Operations: ['83-15=68']
Exploring Operation: 68-57=11, Resulting Numbers: [2, 11]
Generated Node #0,0,0: 55:[2, 11] Operation: 68-57=11
Exploring Operation: 57-2=55, Resulting Numbers: [68, 55]
Generated Node #0,0,1: 55:[68, 55] Operation: 57-2=55
Moving to Node #0,0,0
Current State: 55:[2, 11], Operations: ['83-15=68', '68-57=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[68, 55], Operations: ['83-15=68', '57-2=55']
Exploring Operation: 68+55=123, Resulting Numbers: [123]
123,55 unequal: No Solution
Exploring Operation: 68-55=13, Resulting Numbers: [13]
13,55 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:[2, 15, 26], Operations: ['83-57=26']
Exploring Operation: 26/2=13, Resulting Numbers: [15, 13]
Generated Node #0,1,0: 55:[15, 13] Operation: 26/2=13
Exploring Operation: 26-15=11, Resulting Numbers: [2, 11]
Generated Node #0,1,1: 55:[2, 11] Operation: 26-15=11
Moving to Node #0,1,1
Current State: 55:[2, 11], Operations: ['83-57=26', '26-15=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,55 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Moving to Node #0,1,0
Current State: 55:[15, 13], Operations: ['83-57=26', '26/2=13']
Exploring Operation: 15+13=28, Resulting Numbers: [28]
28,55 unequal: No Solution
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,55 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 |
[
83,
23,
19,
44
] | 93 | [
"23-19=4",
"44*4=176",
"176-83=93"
] | Current State: 93:[83, 23, 19, 44], Operations: []
Exploring Operation: 23-19=4, Resulting Numbers: [83, 44, 4]
Generated Node #2: [83, 44, 4] from Operation: 23-19=4
Current State: 93:[83, 44, 4], Operations: ['23-19=4']
Exploring Operation: 44*4=176, Resulting Numbers: [83, 176]
Generated Node #3: [83, 176] from Operation: 44*4=176
Current State: 93:[83, 176], Operations: ['23-19=4', '44*4=176']
Exploring Operation: 176-83=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[83, 23, 19, 44], Operations: []
Exploring Operation: 83-44=39, Resulting Numbers: [23, 19, 39]
Generated Node #0,0: 93:[23, 19, 39] Operation: 83-44=39
Exploring Operation: 83+19=102, Resulting Numbers: [23, 44, 102]
Generated Node #0,1: 93:[23, 44, 102] Operation: 83+19=102
Exploring Operation: 23-19=4, Resulting Numbers: [83, 44, 4]
Generated Node #0,2: 93:[83, 44, 4] Operation: 23-19=4
Exploring Operation: 44-19=25, Resulting Numbers: [83, 23, 25]
Generated Node #0,3: 93:[83, 23, 25] Operation: 44-19=25
Exploring Operation: 44-23=21, Resulting Numbers: [83, 19, 21]
Generated Node #0,4: 93:[83, 19, 21] Operation: 44-23=21
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[83, 44, 4], Operations: ['23-19=4']
Exploring Operation: 44/4=11, Resulting Numbers: [83, 11]
Generated Node #0,2,0: 93:[83, 11] Operation: 44/4=11
Exploring Operation: 83+4=87, Resulting Numbers: [44, 87]
Generated Node #0,2,1: 93:[44, 87] Operation: 83+4=87
Exploring Operation: 44-4=40, Resulting Numbers: [83, 40]
Generated Node #0,2,2: 93:[83, 40] Operation: 44-4=40
Exploring Operation: 83-44=39, Resulting Numbers: [4, 39]
Generated Node #0,2,3: 93:[4, 39] Operation: 83-44=39
Exploring Operation: 83-4=79, Resulting Numbers: [44, 79]
Generated Node #0,2,4: 93:[44, 79] Operation: 83-4=79
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 93:[4, 39], Operations: ['23-19=4', '83-44=39']
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,93 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Exploring Operation: 4*39=156, Resulting Numbers: [156]
156,93 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:[83, 11], Operations: ['23-19=4', '44/4=11']
Exploring Operation: 83*11=913, Resulting Numbers: [913]
913,93 unequal: No Solution
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,93 unequal: No Solution
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,93 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:[44, 87], Operations: ['23-19=4', '83+4=87']
Exploring Operation: 44+87=131, Resulting Numbers: [131]
131,93 unequal: No Solution
Exploring Operation: 87-44=43, Resulting Numbers: [43]
43,93 unequal: No Solution
Exploring Operation: 44*87=3828, Resulting Numbers: [3828]
3828,93 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 #0,2,2
Current State: 93:[83, 40], Operations: ['23-19=4', '44-4=40']
Exploring Operation: 83+40=123, Resulting Numbers: [123]
123,93 unequal: No Solution
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,93 unequal: No Solution
Exploring Operation: 83*40=3320, Resulting Numbers: [3320]
3320,93 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:[44, 79], Operations: ['23-19=4', '83-4=79']
Exploring Operation: 44*79=3476, Resulting Numbers: [3476]
3476,93 unequal: No Solution
Exploring Operation: 79-44=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Exploring Operation: 44+79=123, Resulting Numbers: [123]
123,93 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:[83, 23, 25], Operations: ['44-19=25']
Exploring Operation: 83+25=108, Resulting Numbers: [23, 108]
Generated Node #0,3,0: 93:[23, 108] Operation: 83+25=108
Exploring Operation: 83+23=106, Resulting Numbers: [25, 106]
Generated Node #0,3,1: 93:[25, 106] Operation: 83+23=106
Exploring Operation: 25-23=2, Resulting Numbers: [83, 2]
Generated Node #0,3,2: 93:[83, 2] Operation: 25-23=2
Exploring Operation: 83-23=60, Resulting Numbers: [25, 60]
Generated Node #0,3,3: 93:[25, 60] Operation: 83-23=60
Exploring Operation: 23+25=48, Resulting Numbers: [83, 48]
Generated Node #0,3,4: 93:[83, 48] Operation: 23+25=48
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 93:[83, 2], Operations: ['44-19=25', '25-23=2']
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,93 unequal: No Solution
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,93 unequal: No Solution
Exploring Operation: 83*2=166, Resulting Numbers: [166]
166,93 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 #0,3,1
Current State: 93:[25, 106], Operations: ['44-19=25', '83+23=106']
Exploring Operation: 25*106=2650, Resulting Numbers: [2650]
2650,93 unequal: No Solution
Exploring Operation: 25+106=131, Resulting Numbers: [131]
131,93 unequal: No Solution
Exploring Operation: 106-25=81, Resulting Numbers: [81]
81,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 93:[23, 108], Operations: ['44-19=25', '83+25=108']
Exploring Operation: 23*108=2484, Resulting Numbers: [2484]
2484,93 unequal: No Solution
Exploring Operation: 23+108=131, Resulting Numbers: [131]
131,93 unequal: No Solution
Exploring Operation: 108-23=85, Resulting Numbers: [85]
85,93 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 #0,3,4
Current State: 93:[83, 48], Operations: ['44-19=25', '23+25=48']
Exploring Operation: 83-48=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Exploring Operation: 83+48=131, Resulting Numbers: [131]
131,93 unequal: No Solution
Exploring Operation: 83*48=3984, Resulting Numbers: [3984]
3984,93 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 #0,3,3
Current State: 93:[25, 60], Operations: ['44-19=25', '83-23=60']
Exploring Operation: 25*60=1500, Resulting Numbers: [1500]
1500,93 unequal: No Solution
Exploring Operation: 60-25=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Exploring Operation: 25+60=85, Resulting Numbers: [85]
85,93 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 #0,0
Current State: 93:[23, 19, 39], Operations: ['83-44=39']
Exploring Operation: 23-19=4, Resulting Numbers: [39, 4]
Generated Node #0,0,0: 93:[39, 4] Operation: 23-19=4
Exploring Operation: 19+39=58, Resulting Numbers: [23, 58]
Generated Node #0,0,1: 93:[23, 58] Operation: 19+39=58
Exploring Operation: 39-19=20, Resulting Numbers: [23, 20]
Generated Node #0,0,2: 93:[23, 20] Operation: 39-19=20
Exploring Operation: 39-23=16, Resulting Numbers: [19, 16]
Generated Node #0,0,3: 93:[19, 16] Operation: 39-23=16
Exploring Operation: 23+19=42, Resulting Numbers: [39, 42]
Generated Node #0,0,4: 93:[39, 42] Operation: 23+19=42
Moving to Node #0,0,0
Current State: 93:[39, 4], Operations: ['83-44=39', '23-19=4']
Exploring Operation: 39*4=156, Resulting Numbers: [156]
156,93 unequal: No Solution
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,93 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Moving to Node #0,0,4
Current State: 93:[39, 42], Operations: ['83-44=39', '23+19=42']
Exploring Operation: 39+42=81, Resulting Numbers: [81]
81,93 unequal: No Solution
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 39*42=1638, Resulting Numbers: [1638]
1638,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[23, 20], Operations: ['83-44=39', '39-19=20']
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,93 unequal: No Solution
Exploring Operation: 23*20=460, Resulting Numbers: [460]
460,93 unequal: No Solution
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Moving to Node #0,0,3
Current State: 93:[19, 16], Operations: ['83-44=39', '39-23=16']
Exploring Operation: 19*16=304, Resulting Numbers: [304]
304,93 unequal: No Solution
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[23, 58], Operations: ['83-44=39', '19+39=58']
Exploring Operation: 23+58=81, Resulting Numbers: [81]
81,93 unequal: No Solution
Exploring Operation: 23*58=1334, Resulting Numbers: [1334]
1334,93 unequal: No Solution
Exploring Operation: 58-23=35, Resulting Numbers: [35]
35,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[23, 44, 102], Operations: ['83+19=102']
Exploring Operation: 23+44=67, Resulting Numbers: [102, 67]
Generated Node #0,1,0: 93:[102, 67] Operation: 23+44=67
Exploring Operation: 44-23=21, Resulting Numbers: [102, 21]
Generated Node #0,1,1: 93:[102, 21] Operation: 44-23=21
Exploring Operation: 102-23=79, Resulting Numbers: [44, 79]
Generated Node #0,1,2: 93:[44, 79] Operation: 102-23=79
Exploring Operation: 102-44=58, Resulting Numbers: [23, 58]
Generated Node #0,1,3: 93:[23, 58] Operation: 102-44=58
Exploring Operation: 23+102=125, Resulting Numbers: [44, 125]
Generated Node #0,1,4: 93:[44, 125] Operation: 23+102=125
Moving to Node #0,1,1
Current State: 93:[102, 21], Operations: ['83+19=102', '44-23=21']
Exploring Operation: 102*21=2142, Resulting Numbers: [2142]
2142,93 unequal: No Solution
Exploring Operation: 102+21=123, Resulting Numbers: [123]
123,93 unequal: No Solution
Exploring Operation: 102-21=81, Resulting Numbers: [81]
81,93 unequal: No Solution
Moving to Node #0,1,2
Current State: 93:[44, 79], Operations: ['83+19=102', '102-23=79']
Exploring Operation: 79-44=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Exploring Operation: 44*79=3476, Resulting Numbers: [3476]
3476,93 unequal: No Solution
Exploring Operation: 44+79=123, Resulting Numbers: [123]
123,93 unequal: No Solution
Moving to Node #0,1,0
Current State: 93:[102, 67], Operations: ['83+19=102', '23+44=67']
Exploring Operation: 102+67=169, Resulting Numbers: [169]
169,93 unequal: No Solution
Exploring Operation: 102-67=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Exploring Operation: 102*67=6834, Resulting Numbers: [6834]
6834,93 unequal: No Solution
Moving to Node #0,1,3
Current State: 93:[23, 58], Operations: ['83+19=102', '102-44=58']
Exploring Operation: 23+58=81, Resulting Numbers: [81]
81,93 unequal: No Solution
Exploring Operation: 58-23=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Exploring Operation: 23*58=1334, Resulting Numbers: [1334]
1334,93 unequal: No Solution
Moving to Node #0,1,4
Current State: 93:[44, 125], Operations: ['83+19=102', '23+102=125']
Exploring Operation: 44+125=169, Resulting Numbers: [169]
169,93 unequal: No Solution
Exploring Operation: 125-44=81, Resulting Numbers: [81]
81,93 unequal: No Solution
Exploring Operation: 44*125=5500, Resulting Numbers: [5500]
5500,93 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:[83, 19, 21], Operations: ['44-23=21']
Exploring Operation: 83+19=102, Resulting Numbers: [21, 102]
Generated Node #0,4,0: 93:[21, 102] Operation: 83+19=102
Exploring Operation: 83+21=104, Resulting Numbers: [19, 104]
Generated Node #0,4,1: 93:[19, 104] Operation: 83+21=104
Exploring Operation: 19+21=40, Resulting Numbers: [83, 40]
Generated Node #0,4,2: 93:[83, 40] Operation: 19+21=40
Exploring Operation: 21-19=2, Resulting Numbers: [83, 2]
Generated Node #0,4,3: 93:[83, 2] Operation: 21-19=2
Exploring Operation: 83-19=64, Resulting Numbers: [21, 64]
Generated Node #0,4,4: 93:[21, 64] Operation: 83-19=64
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 93:[83, 2], Operations: ['44-23=21', '21-19=2']
Exploring Operation: 83*2=166, Resulting Numbers: [166]
166,93 unequal: No Solution
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,93 unequal: No Solution
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 93:[21, 102], Operations: ['44-23=21', '83+19=102']
Exploring Operation: 21+102=123, Resulting Numbers: [123]
123,93 unequal: No Solution
Exploring Operation: 102-21=81, Resulting Numbers: [81]
81,93 unequal: No Solution
Exploring Operation: 21*102=2142, Resulting Numbers: [2142]
2142,93 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 #0,4,2
Current State: 93:[83, 40], Operations: ['44-23=21', '19+21=40']
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,93 unequal: No Solution
Exploring Operation: 83*40=3320, Resulting Numbers: [3320]
3320,93 unequal: No Solution
Exploring Operation: 83+40=123, Resulting Numbers: [123]
123,93 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 #0,4,1
Current State: 93:[19, 104], Operations: ['44-23=21', '83+21=104']
Exploring Operation: 19+104=123, Resulting Numbers: [123]
123,93 unequal: No Solution
Exploring Operation: 19*104=1976, Resulting Numbers: [1976]
1976,93 unequal: No Solution
Exploring Operation: 104-19=85, Resulting Numbers: [85]
85,93 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 #0,4,4
Current State: 93:[21, 64], Operations: ['44-23=21', '83-19=64']
Exploring Operation: 21+64=85, Resulting Numbers: [85]
85,93 unequal: No Solution
Exploring Operation: 64-21=43, Resulting Numbers: [43]
43,93 unequal: No Solution
Exploring Operation: 21*64=1344, Resulting Numbers: [1344]
1344,93 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_5 | mult_heuristic |
[
22,
57,
53,
29
] | 94 | [
"57-53=4",
"29*4=116",
"116-22=94"
] | Current State: 94:[22, 57, 53, 29], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [22, 29, 4]
Generated Node #2: [22, 29, 4] from Operation: 57-53=4
Current State: 94:[22, 29, 4], Operations: ['57-53=4']
Exploring Operation: 29*4=116, Resulting Numbers: [22, 116]
Generated Node #3: [22, 116] from Operation: 29*4=116
Current State: 94:[22, 116], Operations: ['57-53=4', '29*4=116']
Exploring Operation: 116-22=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[22, 57, 53, 29], Operations: []
Exploring Operation: 29-22=7, Resulting Numbers: [57, 53, 7]
Generated Node #0,0: 94:[57, 53, 7] Operation: 29-22=7
Exploring Operation: 22+29=51, Resulting Numbers: [57, 53, 51]
Generated Node #0,1: 94:[57, 53, 51] Operation: 22+29=51
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[57, 53, 51], Operations: ['22+29=51']
Exploring Operation: 57-51=6, Resulting Numbers: [53, 6]
Generated Node #0,1,0: 94:[53, 6] Operation: 57-51=6
Exploring Operation: 57-53=4, Resulting Numbers: [51, 4]
Generated Node #0,1,1: 94:[51, 4] Operation: 57-53=4
Moving to Node #0,1,1
Current State: 94:[51, 4], Operations: ['22+29=51', '57-53=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,94 unequal: No Solution
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,94 unequal: No Solution
Moving to Node #0,1,0
Current State: 94:[53, 6], Operations: ['22+29=51', '57-51=6']
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,94 unequal: No Solution
Exploring Operation: 53+6=59, Resulting Numbers: [59]
59,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[57, 53, 7], Operations: ['29-22=7']
Exploring Operation: 57-7=50, Resulting Numbers: [53, 50]
Generated Node #0,0,0: 94:[53, 50] Operation: 57-7=50
Exploring Operation: 57-53=4, Resulting Numbers: [7, 4]
Generated Node #0,0,1: 94:[7, 4] Operation: 57-53=4
Moving to Node #0,0,1
Current State: 94:[7, 4], Operations: ['29-22=7', '57-53=4']
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,94 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Moving to Node #0,0,0
Current State: 94:[53, 50], Operations: ['29-22=7', '57-7=50']
Exploring Operation: 53-50=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 53+50=103, Resulting Numbers: [103]
103,94 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 |
[
17,
34,
76,
66
] | 41 | [
"17+34=51",
"76-66=10",
"51-10=41"
] | Current State: 41:[17, 34, 76, 66], Operations: []
Exploring Operation: 17+34=51, Resulting Numbers: [76, 66, 51]
Generated Node #2: [76, 66, 51] from Operation: 17+34=51
Current State: 41:[76, 66, 51], Operations: ['17+34=51']
Exploring Operation: 76-66=10, Resulting Numbers: [51, 10]
Generated Node #3: [51, 10] from Operation: 76-66=10
Current State: 41:[51, 10], Operations: ['17+34=51', '76-66=10']
Exploring Operation: 51-10=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[17, 34, 76, 66], Operations: []
Exploring Operation: 66-17=49, Resulting Numbers: [34, 76, 49]
Generated Node #0,0: 41:[34, 76, 49] Operation: 66-17=49
Exploring Operation: 76-17=59, Resulting Numbers: [34, 66, 59]
Generated Node #0,1: 41:[34, 66, 59] Operation: 76-17=59
Moving to Node #0,0
Current State: 41:[34, 76, 49], Operations: ['66-17=49']
Exploring Operation: 76-49=27, Resulting Numbers: [34, 27]
Generated Node #0,0,0: 41:[34, 27] Operation: 76-49=27
Exploring Operation: 76-34=42, Resulting Numbers: [49, 42]
Generated Node #0,0,1: 41:[49, 42] Operation: 76-34=42
Moving to Node #0,1
Current State: 41:[34, 66, 59], Operations: ['76-17=59']
Exploring Operation: 66-34=32, Resulting Numbers: [59, 32]
Generated Node #0,1,0: 41:[59, 32] Operation: 66-34=32
Exploring Operation: 59-34=25, Resulting Numbers: [66, 25]
Generated Node #0,1,1: 41:[66, 25] Operation: 59-34=25
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 41:[59, 32], Operations: ['76-17=59', '66-34=32']
Exploring Operation: 59-32=27, Resulting Numbers: [27]
27,41 unequal: No Solution
Exploring Operation: 59+32=91, Resulting Numbers: [91]
91,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 41:[66, 25], Operations: ['76-17=59', '59-34=25']
Exploring Operation: 66+25=91, Resulting Numbers: [91]
91,41 unequal: No Solution
Exploring Operation: 66-25=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[17, 34, 76, 66], Operations: []
Exploring Operation: 76-17=59, Resulting Numbers: [34, 66, 59]
Generated Node #0,1: 41:[34, 66, 59] Operation: 76-17=59
Moving to Node #0,1
Current State: 41:[34, 66, 59], Operations: ['76-17=59']
Exploring Operation: 59-34=25, Resulting Numbers: [66, 25]
Generated Node #0,1,1: 41:[66, 25] Operation: 59-34=25
Moving to Node #0,1,1
Current State: 41:[66, 25], Operations: ['76-17=59', '59-34=25']
Exploring Operation: 66-25=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_2 | mult_heuristic |
[
74,
12,
21,
88
] | 90 | [
"74+88=162",
"12*21=252",
"252-162=90"
] | Current State: 90:[74, 12, 21, 88], Operations: []
Exploring Operation: 74+88=162, Resulting Numbers: [12, 21, 162]
Generated Node #2: [12, 21, 162] from Operation: 74+88=162
Current State: 90:[12, 21, 162], Operations: ['74+88=162']
Exploring Operation: 12*21=252, Resulting Numbers: [162, 252]
Generated Node #3: [162, 252] from Operation: 12*21=252
Current State: 90:[162, 252], Operations: ['74+88=162', '12*21=252']
Exploring Operation: 252-162=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[74, 12, 21, 88], Operations: []
Exploring Operation: 74-21=53, Resulting Numbers: [12, 88, 53]
Generated Node #0,0: 90:[12, 88, 53] Operation: 74-21=53
Exploring Operation: 74+12=86, Resulting Numbers: [21, 88, 86]
Generated Node #0,1: 90:[21, 88, 86] Operation: 74+12=86
Exploring Operation: 74+21=95, Resulting Numbers: [12, 88, 95]
Generated Node #0,2: 90:[12, 88, 95] Operation: 74+21=95
Exploring Operation: 88-74=14, Resulting Numbers: [12, 21, 14]
Generated Node #0,3: 90:[12, 21, 14] Operation: 88-74=14
Start Sub Search at level 1: Moving to Node #0,3
Current State: 90:[12, 21, 14], Operations: ['88-74=14']
Exploring Operation: 12+21=33, Resulting Numbers: [14, 33]
Generated Node #0,3,0: 90:[14, 33] Operation: 12+21=33
Exploring Operation: 21-14=7, Resulting Numbers: [12, 7]
Generated Node #0,3,1: 90:[12, 7] Operation: 21-14=7
Exploring Operation: 14-12=2, Resulting Numbers: [21, 2]
Generated Node #0,3,2: 90:[21, 2] Operation: 14-12=2
Exploring Operation: 21-12=9, Resulting Numbers: [14, 9]
Generated Node #0,3,3: 90:[14, 9] Operation: 21-12=9
Moving to Node #0,3,3
Current State: 90:[14, 9], Operations: ['88-74=14', '21-12=9']
Exploring Operation: 14*9=126, Resulting Numbers: [126]
126,90 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,90 unequal: No Solution
Moving to Node #0,3,2
Current State: 90:[21, 2], Operations: ['88-74=14', '14-12=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,90 unequal: No Solution
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,90 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,90 unequal: No Solution
Moving to Node #0,3,1
Current State: 90:[12, 7], Operations: ['88-74=14', '21-14=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,90 unequal: No Solution
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,90 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Moving to Node #0,3,0
Current State: 90:[14, 33], Operations: ['88-74=14', '12+21=33']
Exploring Operation: 14+33=47, Resulting Numbers: [47]
47,90 unequal: No Solution
Exploring Operation: 14*33=462, Resulting Numbers: [462]
462,90 unequal: No Solution
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[21, 88, 86], Operations: ['74+12=86']
Exploring Operation: 86-21=65, Resulting Numbers: [88, 65]
Generated Node #0,1,0: 90:[88, 65] Operation: 86-21=65
Exploring Operation: 88-86=2, Resulting Numbers: [21, 2]
Generated Node #0,1,1: 90:[21, 2] Operation: 88-86=2
Exploring Operation: 21+88=109, Resulting Numbers: [86, 109]
Generated Node #0,1,2: 90:[86, 109] Operation: 21+88=109
Exploring Operation: 21+86=107, Resulting Numbers: [88, 107]
Generated Node #0,1,3: 90:[88, 107] Operation: 21+86=107
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 90:[21, 2], Operations: ['74+12=86', '88-86=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,90 unequal: No Solution
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,90 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 90:[88, 107], Operations: ['74+12=86', '21+86=107']
Exploring Operation: 88*107=9416, Resulting Numbers: [9416]
9416,90 unequal: No Solution
Exploring Operation: 107-88=19, Resulting Numbers: [19]
19,90 unequal: No Solution
Exploring Operation: 88+107=195, Resulting Numbers: [195]
195,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 90:[88, 65], Operations: ['74+12=86', '86-21=65']
Exploring Operation: 88+65=153, Resulting Numbers: [153]
153,90 unequal: No Solution
Exploring Operation: 88-65=23, Resulting Numbers: [23]
23,90 unequal: No Solution
Exploring Operation: 88*65=5720, Resulting Numbers: [5720]
5720,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 90:[86, 109], Operations: ['74+12=86', '21+88=109']
Exploring Operation: 86+109=195, Resulting Numbers: [195]
195,90 unequal: No Solution
Exploring Operation: 109-86=23, Resulting Numbers: [23]
23,90 unequal: No Solution
Exploring Operation: 86*109=9374, Resulting Numbers: [9374]
9374,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 90:[12, 88, 95], Operations: ['74+21=95']
Exploring Operation: 95-88=7, Resulting Numbers: [12, 7]
Generated Node #0,2,0: 90:[12, 7] Operation: 95-88=7
Exploring Operation: 12+88=100, Resulting Numbers: [95, 100]
Generated Node #0,2,1: 90:[95, 100] Operation: 12+88=100
Exploring Operation: 95-12=83, Resulting Numbers: [88, 83]
Generated Node #0,2,2: 90:[88, 83] Operation: 95-12=83
Exploring Operation: 88-12=76, Resulting Numbers: [95, 76]
Generated Node #0,2,3: 90:[95, 76] Operation: 88-12=76
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 90:[12, 7], Operations: ['74+21=95', '95-88=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,90 unequal: No Solution
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,90 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 90:[88, 83], Operations: ['74+21=95', '95-12=83']
Exploring Operation: 88-83=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 88*83=7304, Resulting Numbers: [7304]
7304,90 unequal: No Solution
Exploring Operation: 88+83=171, Resulting Numbers: [171]
171,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 90:[95, 100], Operations: ['74+21=95', '12+88=100']
Exploring Operation: 100-95=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 95*100=9500, Resulting Numbers: [9500]
9500,90 unequal: No Solution
Exploring Operation: 95+100=195, Resulting Numbers: [195]
195,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 90:[95, 76], Operations: ['74+21=95', '88-12=76']
Exploring Operation: 95*76=7220, Resulting Numbers: [7220]
7220,90 unequal: No Solution
Exploring Operation: 95-76=19, Resulting Numbers: [19]
19,90 unequal: No Solution
Exploring Operation: 95+76=171, Resulting Numbers: [171]
171,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[12, 88, 53], Operations: ['74-21=53']
Exploring Operation: 88-53=35, Resulting Numbers: [12, 35]
Generated Node #0,0,0: 90:[12, 35] Operation: 88-53=35
Exploring Operation: 12+88=100, Resulting Numbers: [53, 100]
Generated Node #0,0,1: 90:[53, 100] Operation: 12+88=100
Exploring Operation: 53-12=41, Resulting Numbers: [88, 41]
Generated Node #0,0,2: 90:[88, 41] Operation: 53-12=41
Exploring Operation: 88-12=76, Resulting Numbers: [53, 76]
Generated Node #0,0,3: 90:[53, 76] Operation: 88-12=76
Moving to Node #0,0,2
Current State: 90:[88, 41], Operations: ['74-21=53', '53-12=41']
Exploring Operation: 88*41=3608, Resulting Numbers: [3608]
3608,90 unequal: No Solution
Exploring Operation: 88+41=129, Resulting Numbers: [129]
129,90 unequal: No Solution
Exploring Operation: 88-41=47, Resulting Numbers: [47]
47,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[12, 35], Operations: ['74-21=53', '88-53=35']
Exploring Operation: 35-12=23, Resulting Numbers: [23]
23,90 unequal: No Solution
Exploring Operation: 12+35=47, Resulting Numbers: [47]
47,90 unequal: No Solution
Exploring Operation: 12*35=420, Resulting Numbers: [420]
420,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[53, 100], Operations: ['74-21=53', '12+88=100']
Exploring Operation: 53+100=153, Resulting Numbers: [153]
153,90 unequal: No Solution
Exploring Operation: 53*100=5300, Resulting Numbers: [5300]
5300,90 unequal: No Solution
Exploring Operation: 100-53=47, Resulting Numbers: [47]
47,90 unequal: No Solution
Moving to Node #0,0,3
Current State: 90:[53, 76], Operations: ['74-21=53', '88-12=76']
Exploring Operation: 53*76=4028, Resulting Numbers: [4028]
4028,90 unequal: No Solution
Exploring Operation: 76-53=23, Resulting Numbers: [23]
23,90 unequal: No Solution
Exploring Operation: 53+76=129, Resulting Numbers: [129]
129,90 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 |
[
43,
5,
19,
51
] | 14 | [
"43*5=215",
"51+215=266",
"266/19=14"
] | Current State: 14:[43, 5, 19, 51], Operations: []
Exploring Operation: 43*5=215, Resulting Numbers: [19, 51, 215]
Generated Node #2: [19, 51, 215] from Operation: 43*5=215
Current State: 14:[19, 51, 215], Operations: ['43*5=215']
Exploring Operation: 51+215=266, Resulting Numbers: [19, 266]
Generated Node #3: [19, 266] from Operation: 51+215=266
Current State: 14:[19, 266], Operations: ['43*5=215', '51+215=266']
Exploring Operation: 266/19=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[43, 5, 19, 51], Operations: []
Exploring Operation: 43-19=24, Resulting Numbers: [5, 51, 24]
Generated Node #0,0: 14:[5, 51, 24] Operation: 43-19=24
Exploring Operation: 51-43=8, Resulting Numbers: [5, 19, 8]
Generated Node #0,1: 14:[5, 19, 8] Operation: 51-43=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[5, 19, 8], Operations: ['51-43=8']
Exploring Operation: 19-8=11, Resulting Numbers: [5, 11]
Generated Node #0,1,0: 14:[5, 11] Operation: 19-8=11
Exploring Operation: 19-5=14, Resulting Numbers: [8, 14]
Generated Node #0,1,1: 14:[8, 14] Operation: 19-5=14
Moving to Node #0,1,1
Current State: 14:[8, 14], Operations: ['51-43=8', '19-5=14']
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,14 unequal: No Solution
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,14 unequal: No Solution
Moving to Node #0,1,0
Current State: 14:[5, 11], Operations: ['51-43=8', '19-8=11']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,14 unequal: No Solution
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[5, 51, 24], Operations: ['43-19=24']
Exploring Operation: 51-5=46, Resulting Numbers: [24, 46]
Generated Node #0,0,0: 14:[24, 46] Operation: 51-5=46
Exploring Operation: 51-24=27, Resulting Numbers: [5, 27]
Generated Node #0,0,1: 14:[5, 27] Operation: 51-24=27
Moving to Node #0,0,1
Current State: 14:[5, 27], Operations: ['43-19=24', '51-24=27']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,14 unequal: No Solution
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,14 unequal: No Solution
Moving to Node #0,0,0
Current State: 14:[24, 46], Operations: ['43-19=24', '51-5=46']
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,14 unequal: No Solution
Exploring Operation: 24+46=70, Resulting Numbers: [70]
70,14 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 |
[
26,
13,
78,
41
] | 47 | [
"26-13=13",
"78/13=6",
"41+6=47"
] | Current State: 47:[26, 13, 78, 41], Operations: []
Exploring Operation: 26-13=13, Resulting Numbers: [78, 41, 13]
Generated Node #2: [78, 41, 13] from Operation: 26-13=13
Current State: 47:[78, 41, 13], Operations: ['26-13=13']
Exploring Operation: 78/13=6, Resulting Numbers: [41, 6]
Generated Node #3: [41, 6] from Operation: 78/13=6
Current State: 47:[41, 6], Operations: ['26-13=13', '78/13=6']
Exploring Operation: 41+6=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[26, 13, 78, 41], Operations: []
Exploring Operation: 26+13=39, Resulting Numbers: [78, 41, 39]
Generated Node #0,0: 47:[78, 41, 39] Operation: 26+13=39
Exploring Operation: 78-26=52, Resulting Numbers: [13, 41, 52]
Generated Node #0,1: 47:[13, 41, 52] Operation: 78-26=52
Exploring Operation: 78-13=65, Resulting Numbers: [26, 41, 65]
Generated Node #0,2: 47:[26, 41, 65] Operation: 78-13=65
Moving to Node #0,0
Current State: 47:[78, 41, 39], Operations: ['26+13=39']
Exploring Operation: 78-39=39, Resulting Numbers: [41, 39]
Generated Node #0,0,0: 47:[41, 39] Operation: 78-39=39
Exploring Operation: 78-41=37, Resulting Numbers: [39, 37]
Generated Node #0,0,1: 47:[39, 37] Operation: 78-41=37
Exploring Operation: 78/39=2, Resulting Numbers: [41, 2]
Generated Node #0,0,2: 47:[41, 2] Operation: 78/39=2
Moving to Node #0,1
Current State: 47:[13, 41, 52], Operations: ['78-26=52']
Exploring Operation: 13+41=54, Resulting Numbers: [52, 54]
Generated Node #0,1,0: 47:[52, 54] Operation: 13+41=54
Exploring Operation: 41-13=28, Resulting Numbers: [52, 28]
Generated Node #0,1,1: 47:[52, 28] Operation: 41-13=28
Exploring Operation: 52-13=39, Resulting Numbers: [41, 39]
Generated Node #0,1,2: 47:[41, 39] Operation: 52-13=39
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[52, 54], Operations: ['78-26=52', '13+41=54']
Exploring Operation: 52*54=2808, Resulting Numbers: [2808]
2808,47 unequal: No Solution
Exploring Operation: 52+54=106, Resulting Numbers: [106]
106,47 unequal: No Solution
Exploring Operation: 54-52=2, Resulting Numbers: [2]
2,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 47:[41, 39], Operations: ['78-26=52', '52-13=39']
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,47 unequal: No Solution
Exploring Operation: 41*39=1599, Resulting Numbers: [1599]
1599,47 unequal: No Solution
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[52, 28], Operations: ['78-26=52', '41-13=28']
Exploring Operation: 52*28=1456, Resulting Numbers: [1456]
1456,47 unequal: No Solution
Exploring Operation: 52+28=80, Resulting Numbers: [80]
80,47 unequal: No Solution
Exploring Operation: 52-28=24, Resulting Numbers: [24]
24,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 47:[26, 41, 65], Operations: ['78-13=65']
Exploring Operation: 65-41=24, Resulting Numbers: [26, 24]
Generated Node #0,2,0: 47:[26, 24] Operation: 65-41=24
Exploring Operation: 26+41=67, Resulting Numbers: [65, 67]
Generated Node #0,2,1: 47:[65, 67] Operation: 26+41=67
Exploring Operation: 65-26=39, Resulting Numbers: [41, 39]
Generated Node #0,2,2: 47:[41, 39] Operation: 65-26=39
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 47:[41, 39], Operations: ['78-13=65', '65-26=39']
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,47 unequal: No Solution
Exploring Operation: 41*39=1599, Resulting Numbers: [1599]
1599,47 unequal: No Solution
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 47:[65, 67], Operations: ['78-13=65', '26+41=67']
Exploring Operation: 65+67=132, Resulting Numbers: [132]
132,47 unequal: No Solution
Exploring Operation: 67-65=2, Resulting Numbers: [2]
2,47 unequal: No Solution
Exploring Operation: 65*67=4355, Resulting Numbers: [4355]
4355,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 47:[26, 24], Operations: ['78-13=65', '65-41=24']
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,47 unequal: No Solution
Exploring Operation: 26*24=624, Resulting Numbers: [624]
624,47 unequal: No Solution
Exploring Operation: 26+24=50, Resulting Numbers: [50]
50,47 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: 47:[41, 39], Operations: ['26+13=39', '78-39=39']
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,47 unequal: No Solution
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,47 unequal: No Solution
Exploring Operation: 41*39=1599, Resulting Numbers: [1599]
1599,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[39, 37], Operations: ['26+13=39', '78-41=37']
Exploring Operation: 39*37=1443, Resulting Numbers: [1443]
1443,47 unequal: No Solution
Exploring Operation: 39-37=2, Resulting Numbers: [2]
2,47 unequal: No Solution
Exploring Operation: 39+37=76, Resulting Numbers: [76]
76,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[41, 2], Operations: ['26+13=39', '78/39=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,47 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,47 unequal: No Solution
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,47 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
67,
35,
30,
64
] | 55 | [
"67-64=3",
"30*3=90",
"90-35=55"
] | Current State: 55:[67, 35, 30, 64], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [35, 30, 3]
Generated Node #2: [35, 30, 3] from Operation: 67-64=3
Current State: 55:[35, 30, 3], Operations: ['67-64=3']
Exploring Operation: 30*3=90, Resulting Numbers: [35, 90]
Generated Node #3: [35, 90] from Operation: 30*3=90
Current State: 55:[35, 90], Operations: ['67-64=3', '30*3=90']
Exploring Operation: 90-35=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[67, 35, 30, 64], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [35, 30, 3]
Generated Node #0,0: 55:[35, 30, 3] Operation: 67-64=3
Exploring Operation: 35-30=5, Resulting Numbers: [67, 64, 5]
Generated Node #0,1: 55:[67, 64, 5] Operation: 35-30=5
Exploring Operation: 35+30=65, Resulting Numbers: [67, 64, 65]
Generated Node #0,2: 55:[67, 64, 65] Operation: 35+30=65
Exploring Operation: 67-30=37, Resulting Numbers: [35, 64, 37]
Generated Node #0,3: 55:[35, 64, 37] Operation: 67-30=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[67, 64, 5], Operations: ['35-30=5']
Exploring Operation: 67-5=62, Resulting Numbers: [64, 62]
Generated Node #0,1,0: 55:[64, 62] Operation: 67-5=62
Exploring Operation: 67+5=72, Resulting Numbers: [64, 72]
Generated Node #0,1,1: 55:[64, 72] Operation: 67+5=72
Exploring Operation: 64-5=59, Resulting Numbers: [67, 59]
Generated Node #0,1,2: 55:[67, 59] Operation: 64-5=59
Exploring Operation: 67-64=3, Resulting Numbers: [5, 3]
Generated Node #0,1,3: 55:[5, 3] Operation: 67-64=3
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 55:[5, 3], Operations: ['35-30=5', '67-64=3']
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,55 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:[64, 62], Operations: ['35-30=5', '67-5=62']
Exploring Operation: 64+62=126, Resulting Numbers: [126]
126,55 unequal: No Solution
Exploring Operation: 64*62=3968, Resulting Numbers: [3968]
3968,55 unequal: No Solution
Exploring Operation: 64-62=2, Resulting Numbers: [2]
2,55 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 #0,1,2
Current State: 55:[67, 59], Operations: ['35-30=5', '64-5=59']
Exploring Operation: 67-59=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Exploring Operation: 67+59=126, Resulting Numbers: [126]
126,55 unequal: No Solution
Exploring Operation: 67*59=3953, Resulting Numbers: [3953]
3953,55 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:[64, 72], Operations: ['35-30=5', '67+5=72']
Exploring Operation: 72-64=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Exploring Operation: 64*72=4608, Resulting Numbers: [4608]
4608,55 unequal: No Solution
Exploring Operation: 64+72=136, Resulting Numbers: [136]
136,55 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 #0,2
Current State: 55:[67, 64, 65], Operations: ['35+30=65']
Exploring Operation: 67-64=3, Resulting Numbers: [65, 3]
Generated Node #0,2,0: 55:[65, 3] Operation: 67-64=3
Exploring Operation: 67+64=131, Resulting Numbers: [65, 131]
Generated Node #0,2,1: 55:[65, 131] Operation: 67+64=131
Exploring Operation: 65-64=1, Resulting Numbers: [67, 1]
Generated Node #0,2,2: 55:[67, 1] Operation: 65-64=1
Exploring Operation: 67-65=2, Resulting Numbers: [64, 2]
Generated Node #0,2,3: 55:[64, 2] Operation: 67-65=2
Moving to Node #0,2,0
Current State: 55:[65, 3], Operations: ['35+30=65', '67-64=3']
Exploring Operation: 65*3=195, Resulting Numbers: [195]
195,55 unequal: No Solution
Exploring Operation: 65+3=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,55 unequal: No Solution
Moving to Node #0,2,3
Current State: 55:[64, 2], Operations: ['35+30=65', '67-65=2']
Exploring Operation: 64*2=128, Resulting Numbers: [128]
128,55 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,55 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,55 unequal: No Solution
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,55 unequal: No Solution
Moving to Node #0,2,2
Current State: 55:[67, 1], Operations: ['35+30=65', '65-64=1']
Exploring Operation: 67*1=67, Resulting Numbers: [67]
67,55 unequal: No Solution
Exploring Operation: 67+1=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Exploring Operation: 67/1=67, Resulting Numbers: [67]
67,55 unequal: No Solution
Exploring Operation: 67-1=66, Resulting Numbers: [66]
66,55 unequal: No Solution
Moving to Node #0,2,1
Current State: 55:[65, 131], Operations: ['35+30=65', '67+64=131']
Exploring Operation: 131-65=66, Resulting Numbers: [66]
66,55 unequal: No Solution
Exploring Operation: 65*131=8515, Resulting Numbers: [8515]
8515,55 unequal: No Solution
Exploring Operation: 65+131=196, Resulting Numbers: [196]
196,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[35, 30, 3], Operations: ['67-64=3']
Exploring Operation: 35-30=5, Resulting Numbers: [3, 5]
Generated Node #0,0,0: 55:[3, 5] Operation: 35-30=5
Exploring Operation: 35+3=38, Resulting Numbers: [30, 38]
Generated Node #0,0,1: 55:[30, 38] Operation: 35+3=38
Exploring Operation: 35+30=65, Resulting Numbers: [3, 65]
Generated Node #0,0,2: 55:[3, 65] Operation: 35+30=65
Exploring Operation: 30/3=10, Resulting Numbers: [35, 10]
Generated Node #0,0,3: 55:[35, 10] Operation: 30/3=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 55:[3, 5], Operations: ['67-64=3', '35-30=5']
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,55 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 #0,0,2
Current State: 55:[3, 65], Operations: ['67-64=3', '35+30=65']
Exploring Operation: 3+65=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Exploring Operation: 3*65=195, Resulting Numbers: [195]
195,55 unequal: No Solution
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,55 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:[35, 10], Operations: ['67-64=3', '30/3=10']
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,55 unequal: No Solution
Exploring Operation: 35*10=350, Resulting Numbers: [350]
350,55 unequal: No Solution
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,55 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:[30, 38], Operations: ['67-64=3', '35+3=38']
Exploring Operation: 38-30=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Exploring Operation: 30+38=68, Resulting Numbers: [68]
68,55 unequal: No Solution
Exploring Operation: 30*38=1140, Resulting Numbers: [1140]
1140,55 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:[35, 64, 37], Operations: ['67-30=37']
Exploring Operation: 37-35=2, Resulting Numbers: [64, 2]
Generated Node #0,3,0: 55:[64, 2] Operation: 37-35=2
Exploring Operation: 64-37=27, Resulting Numbers: [35, 27]
Generated Node #0,3,1: 55:[35, 27] Operation: 64-37=27
Exploring Operation: 35+37=72, Resulting Numbers: [64, 72]
Generated Node #0,3,2: 55:[64, 72] Operation: 35+37=72
Exploring Operation: 64-35=29, Resulting Numbers: [37, 29]
Generated Node #0,3,3: 55:[37, 29] Operation: 64-35=29
Moving to Node #0,3,0
Current State: 55:[64, 2], Operations: ['67-30=37', '37-35=2']
Exploring Operation: 64*2=128, Resulting Numbers: [128]
128,55 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,55 unequal: No Solution
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,55 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[64, 72], Operations: ['67-30=37', '35+37=72']
Exploring Operation: 72-64=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Exploring Operation: 64+72=136, Resulting Numbers: [136]
136,55 unequal: No Solution
Exploring Operation: 64*72=4608, Resulting Numbers: [4608]
4608,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[37, 29], Operations: ['67-30=37', '64-35=29']
Exploring Operation: 37*29=1073, Resulting Numbers: [1073]
1073,55 unequal: No Solution
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,55 unequal: No Solution
Moving to Node #0,3,1
Current State: 55:[35, 27], Operations: ['67-30=37', '64-37=27']
Exploring Operation: 35+27=62, Resulting Numbers: [62]
62,55 unequal: No Solution
Exploring Operation: 35-27=8, Resulting Numbers: [8]
8,55 unequal: No Solution
Exploring Operation: 35*27=945, Resulting Numbers: [945]
945,55 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 |
[
34,
17,
58,
73
] | 88 | [
"34/17=2",
"73*2=146",
"146-58=88"
] | Current State: 88:[34, 17, 58, 73], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [58, 73, 2]
Generated Node #2: [58, 73, 2] from Operation: 34/17=2
Current State: 88:[58, 73, 2], Operations: ['34/17=2']
Exploring Operation: 73*2=146, Resulting Numbers: [58, 146]
Generated Node #3: [58, 146] from Operation: 73*2=146
Current State: 88:[58, 146], Operations: ['34/17=2', '73*2=146']
Exploring Operation: 146-58=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[34, 17, 58, 73], Operations: []
Exploring Operation: 73-58=15, Resulting Numbers: [34, 17, 15]
Generated Node #0,0: 88:[34, 17, 15] Operation: 73-58=15
Exploring Operation: 58-34=24, Resulting Numbers: [17, 73, 24]
Generated Node #0,1: 88:[17, 73, 24] Operation: 58-34=24
Exploring Operation: 34+58=92, Resulting Numbers: [17, 73, 92]
Generated Node #0,2: 88:[17, 73, 92] Operation: 34+58=92
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[34, 17, 15], Operations: ['73-58=15']
Exploring Operation: 34/17=2, Resulting Numbers: [15, 2]
Generated Node #0,0,0: 88:[15, 2] Operation: 34/17=2
Exploring Operation: 34-17=17, Resulting Numbers: [15, 17]
Generated Node #0,0,1: 88:[15, 17] Operation: 34-17=17
Exploring Operation: 34-15=19, Resulting Numbers: [17, 19]
Generated Node #0,0,2: 88:[17, 19] Operation: 34-15=19
Moving to Node #0,0,0
Current State: 88:[15, 2], Operations: ['73-58=15', '34/17=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,88 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,88 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Moving to Node #0,0,2
Current State: 88:[17, 19], Operations: ['73-58=15', '34-15=19']
Exploring Operation: 17*19=323, Resulting Numbers: [323]
323,88 unequal: No Solution
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Exploring Operation: 17+19=36, Resulting Numbers: [36]
36,88 unequal: No Solution
Moving to Node #0,0,1
Current State: 88:[15, 17], Operations: ['73-58=15', '34-17=17']
Exploring Operation: 15*17=255, Resulting Numbers: [255]
255,88 unequal: No Solution
Exploring Operation: 17-15=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Exploring Operation: 15+17=32, Resulting Numbers: [32]
32,88 unequal: No Solution
No 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: 88:[17, 73, 24], Operations: ['58-34=24']
Exploring Operation: 73-17=56, Resulting Numbers: [24, 56]
Generated Node #0,1,0: 88:[24, 56] Operation: 73-17=56
Exploring Operation: 17+73=90, Resulting Numbers: [24, 90]
Generated Node #0,1,1: 88:[24, 90] Operation: 17+73=90
Exploring Operation: 73-24=49, Resulting Numbers: [17, 49]
Generated Node #0,1,2: 88:[17, 49] Operation: 73-24=49
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 88:[24, 90], Operations: ['58-34=24', '17+73=90']
Exploring Operation: 24+90=114, Resulting Numbers: [114]
114,88 unequal: No Solution
Exploring Operation: 90-24=66, Resulting Numbers: [66]
66,88 unequal: No Solution
Exploring Operation: 24*90=2160, Resulting Numbers: [2160]
2160,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 88:[17, 49], Operations: ['58-34=24', '73-24=49']
Exploring Operation: 17*49=833, Resulting Numbers: [833]
833,88 unequal: No Solution
Exploring Operation: 17+49=66, Resulting Numbers: [66]
66,88 unequal: No Solution
Exploring Operation: 49-17=32, Resulting Numbers: [32]
32,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 88:[24, 56], Operations: ['58-34=24', '73-17=56']
Exploring Operation: 24+56=80, Resulting Numbers: [80]
80,88 unequal: No Solution
Exploring Operation: 24*56=1344, Resulting Numbers: [1344]
1344,88 unequal: No Solution
Exploring Operation: 56-24=32, Resulting Numbers: [32]
32,88 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: 88:[17, 73, 92], Operations: ['34+58=92']
Exploring Operation: 17+73=90, Resulting Numbers: [92, 90]
Generated Node #0,2,0: 88:[92, 90] Operation: 17+73=90
Exploring Operation: 92-73=19, Resulting Numbers: [17, 19]
Generated Node #0,2,1: 88:[17, 19] Operation: 92-73=19
Exploring Operation: 73-17=56, Resulting Numbers: [92, 56]
Generated Node #0,2,2: 88:[92, 56] Operation: 73-17=56
Moving to Node #0,2,0
Current State: 88:[92, 90], Operations: ['34+58=92', '17+73=90']
Exploring Operation: 92+90=182, Resulting Numbers: [182]
182,88 unequal: No Solution
Exploring Operation: 92*90=8280, Resulting Numbers: [8280]
8280,88 unequal: No Solution
Exploring Operation: 92-90=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Moving to Node #0,2,1
Current State: 88:[17, 19], Operations: ['34+58=92', '92-73=19']
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Exploring Operation: 17*19=323, Resulting Numbers: [323]
323,88 unequal: No Solution
Exploring Operation: 17+19=36, Resulting Numbers: [36]
36,88 unequal: No Solution
Moving to Node #0,2,2
Current State: 88:[92, 56], Operations: ['34+58=92', '73-17=56']
Exploring Operation: 92*56=5152, Resulting Numbers: [5152]
5152,88 unequal: No Solution
Exploring Operation: 92+56=148, Resulting Numbers: [148]
148,88 unequal: No Solution
Exploring Operation: 92-56=36, Resulting Numbers: [36]
36,88 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 |
[
93,
78,
3,
76
] | 45 | [
"93-3=90",
"78-76=2",
"90/2=45"
] | Current State: 45:[93, 78, 3, 76], Operations: []
Exploring Operation: 93-3=90, Resulting Numbers: [78, 76, 90]
Generated Node #2: [78, 76, 90] from Operation: 93-3=90
Current State: 45:[78, 76, 90], Operations: ['93-3=90']
Exploring Operation: 78-76=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 78-76=2
Current State: 45:[90, 2], Operations: ['93-3=90', '78-76=2']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[93, 78, 3, 76], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [93, 3, 2]
Generated Node #0,0: 45:[93, 3, 2] Operation: 78-76=2
Exploring Operation: 93-76=17, Resulting Numbers: [78, 3, 17]
Generated Node #0,1: 45:[78, 3, 17] Operation: 93-76=17
Exploring Operation: 93-78=15, Resulting Numbers: [3, 76, 15]
Generated Node #0,2: 45:[3, 76, 15] Operation: 93-78=15
Start Sub Search at level 1: Moving to Node #0,2
Current State: 45:[3, 76, 15], Operations: ['93-78=15']
Exploring Operation: 3*15=45, Resulting Numbers: [76, 45]
Generated Node #0,2,0: 45:[76, 45] Operation: 3*15=45
Exploring Operation: 76-15=61, Resulting Numbers: [3, 61]
Generated Node #0,2,1: 45:[3, 61] Operation: 76-15=61
Exploring Operation: 76-3=73, Resulting Numbers: [15, 73]
Generated Node #0,2,2: 45:[15, 73] Operation: 76-3=73
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 45:[3, 61], Operations: ['93-78=15', '76-15=61']
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,45 unequal: No Solution
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,45 unequal: No Solution
Exploring Operation: 3*61=183, Resulting Numbers: [183]
183,45 unequal: No Solution
No 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: 45:[15, 73], Operations: ['93-78=15', '76-3=73']
Exploring Operation: 15+73=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 73-15=58, Resulting Numbers: [58]
58,45 unequal: No Solution
Exploring Operation: 15*73=1095, Resulting Numbers: [1095]
1095,45 unequal: No Solution
No 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: 45:[76, 45], Operations: ['93-78=15', '3*15=45']
Exploring Operation: 76-45=31, Resulting Numbers: [31]
31,45 unequal: No Solution
Exploring Operation: 76*45=3420, Resulting Numbers: [3420]
3420,45 unequal: No Solution
Exploring Operation: 76+45=121, Resulting Numbers: [121]
121,45 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: 45:[78, 3, 17], Operations: ['93-76=17']
Exploring Operation: 78/3=26, Resulting Numbers: [17, 26]
Generated Node #0,1,0: 45:[17, 26] Operation: 78/3=26
Exploring Operation: 78-3=75, Resulting Numbers: [17, 75]
Generated Node #0,1,1: 45:[17, 75] Operation: 78-3=75
Exploring Operation: 78-17=61, Resulting Numbers: [3, 61]
Generated Node #0,1,2: 45:[3, 61] Operation: 78-17=61
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 45:[17, 26], Operations: ['93-76=17', '78/3=26']
Exploring Operation: 17*26=442, Resulting Numbers: [442]
442,45 unequal: No Solution
Exploring Operation: 17+26=43, Resulting Numbers: [43]
43,45 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,45 unequal: No Solution
No 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: 45:[3, 61], Operations: ['93-76=17', '78-17=61']
Exploring Operation: 3*61=183, Resulting Numbers: [183]
183,45 unequal: No Solution
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,45 unequal: No Solution
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,45 unequal: No Solution
No 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: 45:[17, 75], Operations: ['93-76=17', '78-3=75']
Exploring Operation: 17*75=1275, Resulting Numbers: [1275]
1275,45 unequal: No Solution
Exploring Operation: 17+75=92, Resulting Numbers: [92]
92,45 unequal: No Solution
Exploring Operation: 75-17=58, Resulting Numbers: [58]
58,45 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: 45:[93, 3, 2], Operations: ['78-76=2']
Exploring Operation: 93-2=91, Resulting Numbers: [3, 91]
Generated Node #0,0,0: 45:[3, 91] Operation: 93-2=91
Exploring Operation: 93/3=31, Resulting Numbers: [2, 31]
Generated Node #0,0,1: 45:[2, 31] Operation: 93/3=31
Exploring Operation: 93-3=90, Resulting Numbers: [2, 90]
Generated Node #0,0,2: 45:[2, 90] Operation: 93-3=90
Moving to Node #0,0,1
Current State: 45:[2, 31], Operations: ['78-76=2', '93/3=31']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,45 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,45 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,45 unequal: No Solution
Moving to Node #0,0,0
Current State: 45:[3, 91], Operations: ['78-76=2', '93-2=91']
Exploring Operation: 3*91=273, Resulting Numbers: [273]
273,45 unequal: No Solution
Exploring Operation: 3+91=94, Resulting Numbers: [94]
94,45 unequal: No Solution
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Moving to Node #0,0,2
Current State: 45:[2, 90], Operations: ['78-76=2', '93-3=90']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,45 unequal: No Solution
Exploring Operation: 2+90=92, Resulting Numbers: [92]
92,45 unequal: No Solution
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[93, 78, 3, 76], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [93, 3, 2]
Generated Node #0,0: 45:[93, 3, 2] Operation: 78-76=2
Moving to Node #0,0
Current State: 45:[93, 3, 2], Operations: ['78-76=2']
Exploring Operation: 93-3=90, Resulting Numbers: [2, 90]
Generated Node #0,0,2: 45:[2, 90] Operation: 93-3=90
Moving to Node #0,0,2
Current State: 45:[2, 90], Operations: ['78-76=2', '93-3=90']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.962674 | hs_3 | mult_heuristic |
[
21,
84,
6,
24
] | 31 | [
"21+24=45",
"84/6=14",
"45-14=31"
] | Current State: 31:[21, 84, 6, 24], Operations: []
Exploring Operation: 21+24=45, Resulting Numbers: [84, 6, 45]
Generated Node #2: [84, 6, 45] from Operation: 21+24=45
Current State: 31:[84, 6, 45], Operations: ['21+24=45']
Exploring Operation: 84/6=14, Resulting Numbers: [45, 14]
Generated Node #3: [45, 14] from Operation: 84/6=14
Current State: 31:[45, 14], Operations: ['21+24=45', '84/6=14']
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[21, 84, 6, 24], Operations: []
Exploring Operation: 84/6=14, Resulting Numbers: [21, 24, 14]
Generated Node #0,0: 31:[21, 24, 14] Operation: 84/6=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[21, 24, 14], Operations: ['84/6=14']
Exploring Operation: 21+14=35, Resulting Numbers: [24, 35]
Generated Node #0,0,0: 31:[24, 35] Operation: 21+14=35
Moving to Node #0,0,0
Current State: 31:[24, 35], Operations: ['84/6=14', '21+14=35']
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,31 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 |
[
11,
7,
83,
20
] | 51 | [
"7*83=581",
"581-20=561",
"561/11=51"
] | Current State: 51:[11, 7, 83, 20], Operations: []
Exploring Operation: 7*83=581, Resulting Numbers: [11, 20, 581]
Generated Node #2: [11, 20, 581] from Operation: 7*83=581
Current State: 51:[11, 20, 581], Operations: ['7*83=581']
Exploring Operation: 581-20=561, Resulting Numbers: [11, 561]
Generated Node #3: [11, 561] from Operation: 581-20=561
Current State: 51:[11, 561], Operations: ['7*83=581', '581-20=561']
Exploring Operation: 561/11=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[11, 7, 83, 20], Operations: []
Exploring Operation: 83-20=63, Resulting Numbers: [11, 7, 63]
Generated Node #0,0: 51:[11, 7, 63] Operation: 83-20=63
Exploring Operation: 11+7=18, Resulting Numbers: [83, 20, 18]
Generated Node #0,1: 51:[83, 20, 18] Operation: 11+7=18
Exploring Operation: 83-11=72, Resulting Numbers: [7, 20, 72]
Generated Node #0,2: 51:[7, 20, 72] Operation: 83-11=72
Exploring Operation: 83-7=76, Resulting Numbers: [11, 20, 76]
Generated Node #0,3: 51:[11, 20, 76] Operation: 83-7=76
Exploring Operation: 11-7=4, Resulting Numbers: [83, 20, 4]
Generated Node #0,4: 51:[83, 20, 4] Operation: 11-7=4
Moving to Node #0,0
Current State: 51:[11, 7, 63], Operations: ['83-20=63']
Exploring Operation: 11+7=18, Resulting Numbers: [63, 18]
Generated Node #0,0,0: 51:[63, 18] Operation: 11+7=18
Exploring Operation: 11-7=4, Resulting Numbers: [63, 4]
Generated Node #0,0,1: 51:[63, 4] Operation: 11-7=4
Exploring Operation: 63-11=52, Resulting Numbers: [7, 52]
Generated Node #0,0,2: 51:[7, 52] Operation: 63-11=52
Exploring Operation: 63/7=9, Resulting Numbers: [11, 9]
Generated Node #0,0,3: 51:[11, 9] Operation: 63/7=9
Exploring Operation: 63-7=56, Resulting Numbers: [11, 56]
Generated Node #0,0,4: 51:[11, 56] Operation: 63-7=56
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 51:[7, 52], Operations: ['83-20=63', '63-11=52']
Exploring Operation: 7+52=59, Resulting Numbers: [59]
59,51 unequal: No Solution
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,51 unequal: No Solution
Exploring Operation: 7*52=364, Resulting Numbers: [364]
364,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 51:[11, 56], Operations: ['83-20=63', '63-7=56']
Exploring Operation: 11+56=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 11*56=616, Resulting Numbers: [616]
616,51 unequal: No Solution
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 51:[11, 9], Operations: ['83-20=63', '63/7=9']
Exploring Operation: 11+9=20, Resulting Numbers: [20]
20,51 unequal: No Solution
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,51 unequal: No Solution
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[63, 18], Operations: ['83-20=63', '11+7=18']
Exploring Operation: 63*18=1134, Resulting Numbers: [1134]
1134,51 unequal: No Solution
Exploring Operation: 63-18=45, Resulting Numbers: [45]
45,51 unequal: No Solution
Exploring Operation: 63+18=81, Resulting Numbers: [81]
81,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 51:[63, 4], Operations: ['83-20=63', '11-7=4']
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 63*4=252, Resulting Numbers: [252]
252,51 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 51:[7, 20, 72], Operations: ['83-11=72']
Exploring Operation: 20-7=13, Resulting Numbers: [72, 13]
Generated Node #0,2,0: 51:[72, 13] Operation: 20-7=13
Exploring Operation: 7+72=79, Resulting Numbers: [20, 79]
Generated Node #0,2,1: 51:[20, 79] Operation: 7+72=79
Exploring Operation: 7+20=27, Resulting Numbers: [72, 27]
Generated Node #0,2,2: 51:[72, 27] Operation: 7+20=27
Exploring Operation: 72-7=65, Resulting Numbers: [20, 65]
Generated Node #0,2,3: 51:[20, 65] Operation: 72-7=65
Exploring Operation: 72-20=52, Resulting Numbers: [7, 52]
Generated Node #0,2,4: 51:[7, 52] Operation: 72-20=52
Moving to Node #0,3
Current State: 51:[11, 20, 76], Operations: ['83-7=76']
Exploring Operation: 11+20=31, Resulting Numbers: [76, 31]
Generated Node #0,3,0: 51:[76, 31] Operation: 11+20=31
Exploring Operation: 76-20=56, Resulting Numbers: [11, 56]
Generated Node #0,3,1: 51:[11, 56] Operation: 76-20=56
Exploring Operation: 76-11=65, Resulting Numbers: [20, 65]
Generated Node #0,3,2: 51:[20, 65] Operation: 76-11=65
Exploring Operation: 11+76=87, Resulting Numbers: [20, 87]
Generated Node #0,3,3: 51:[20, 87] Operation: 11+76=87
Exploring Operation: 20-11=9, Resulting Numbers: [76, 9]
Generated Node #0,3,4: 51:[76, 9] Operation: 20-11=9
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 51:[11, 56], Operations: ['83-7=76', '76-20=56']
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,51 unequal: No Solution
Exploring Operation: 11+56=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 11*56=616, Resulting Numbers: [616]
616,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 51:[20, 65], Operations: ['83-7=76', '76-11=65']
Exploring Operation: 20+65=85, Resulting Numbers: [85]
85,51 unequal: No Solution
Exploring Operation: 20*65=1300, Resulting Numbers: [1300]
1300,51 unequal: No Solution
Exploring Operation: 65-20=45, Resulting Numbers: [45]
45,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 51:[76, 9], Operations: ['83-7=76', '20-11=9']
Exploring Operation: 76-9=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 76*9=684, Resulting Numbers: [684]
684,51 unequal: No Solution
Exploring Operation: 76+9=85, Resulting Numbers: [85]
85,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 51:[76, 31], Operations: ['83-7=76', '11+20=31']
Exploring Operation: 76-31=45, Resulting Numbers: [45]
45,51 unequal: No Solution
Exploring Operation: 76+31=107, Resulting Numbers: [107]
107,51 unequal: No Solution
Exploring Operation: 76*31=2356, Resulting Numbers: [2356]
2356,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 51:[20, 87], Operations: ['83-7=76', '11+76=87']
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 20+87=107, Resulting Numbers: [107]
107,51 unequal: No Solution
Exploring Operation: 20*87=1740, Resulting Numbers: [1740]
1740,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 51:[83, 20, 18], Operations: ['11+7=18']
Exploring Operation: 83-20=63, Resulting Numbers: [18, 63]
Generated Node #0,1,0: 51:[18, 63] Operation: 83-20=63
Exploring Operation: 20-18=2, Resulting Numbers: [83, 2]
Generated Node #0,1,1: 51:[83, 2] Operation: 20-18=2
Exploring Operation: 83-18=65, Resulting Numbers: [20, 65]
Generated Node #0,1,2: 51:[20, 65] Operation: 83-18=65
Exploring Operation: 20+18=38, Resulting Numbers: [83, 38]
Generated Node #0,1,3: 51:[83, 38] Operation: 20+18=38
Exploring Operation: 83+20=103, Resulting Numbers: [18, 103]
Generated Node #0,1,4: 51:[18, 103] Operation: 83+20=103
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 51:[18, 63], Operations: ['11+7=18', '83-20=63']
Exploring Operation: 63-18=45, Resulting Numbers: [45]
45,51 unequal: No Solution
Exploring Operation: 18*63=1134, Resulting Numbers: [1134]
1134,51 unequal: No Solution
Exploring Operation: 18+63=81, Resulting Numbers: [81]
81,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 51:[20, 65], Operations: ['11+7=18', '83-18=65']
Exploring Operation: 65-20=45, Resulting Numbers: [45]
45,51 unequal: No Solution
Exploring Operation: 20*65=1300, Resulting Numbers: [1300]
1300,51 unequal: No Solution
Exploring Operation: 20+65=85, Resulting Numbers: [85]
85,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 51:[83, 2], Operations: ['11+7=18', '20-18=2']
Exploring Operation: 83*2=166, Resulting Numbers: [166]
166,51 unequal: No Solution
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,51 unequal: No Solution
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 51:[83, 38], Operations: ['11+7=18', '20+18=38']
Exploring Operation: 83-38=45, Resulting Numbers: [45]
45,51 unequal: No Solution
Exploring Operation: 83+38=121, Resulting Numbers: [121]
121,51 unequal: No Solution
Exploring Operation: 83*38=3154, Resulting Numbers: [3154]
3154,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 51:[18, 103], Operations: ['11+7=18', '83+20=103']
Exploring Operation: 18*103=1854, Resulting Numbers: [1854]
1854,51 unequal: No Solution
Exploring Operation: 18+103=121, Resulting Numbers: [121]
121,51 unequal: No Solution
Exploring Operation: 103-18=85, Resulting Numbers: [85]
85,51 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: 51:[83, 20, 4], Operations: ['11-7=4']
Exploring Operation: 83-20=63, Resulting Numbers: [4, 63]
Generated Node #0,4,0: 51:[4, 63] Operation: 83-20=63
Exploring Operation: 83+4=87, Resulting Numbers: [20, 87]
Generated Node #0,4,1: 51:[20, 87] Operation: 83+4=87
Exploring Operation: 20/4=5, Resulting Numbers: [83, 5]
Generated Node #0,4,2: 51:[83, 5] Operation: 20/4=5
Exploring Operation: 83-4=79, Resulting Numbers: [20, 79]
Generated Node #0,4,3: 51:[20, 79] Operation: 83-4=79
Exploring Operation: 20-4=16, Resulting Numbers: [83, 16]
Generated Node #0,4,4: 51:[83, 16] Operation: 20-4=16
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 51:[4, 63], Operations: ['11-7=4', '83-20=63']
Exploring Operation: 4*63=252, Resulting Numbers: [252]
252,51 unequal: No Solution
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 51:[20, 79], Operations: ['11-7=4', '83-4=79']
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,51 unequal: No Solution
Exploring Operation: 20+79=99, Resulting Numbers: [99]
99,51 unequal: No Solution
Exploring Operation: 20*79=1580, Resulting Numbers: [1580]
1580,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 51:[83, 16], Operations: ['11-7=4', '20-4=16']
Exploring Operation: 83*16=1328, Resulting Numbers: [1328]
1328,51 unequal: No Solution
Exploring Operation: 83-16=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 83+16=99, Resulting Numbers: [99]
99,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 51:[83, 5], Operations: ['11-7=4', '20/4=5']
Exploring Operation: 83+5=88, Resulting Numbers: [88]
88,51 unequal: No Solution
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,51 unequal: No Solution
Exploring Operation: 83*5=415, Resulting Numbers: [415]
415,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 51:[20, 87], Operations: ['11-7=4', '83+4=87']
Exploring Operation: 20*87=1740, Resulting Numbers: [1740]
1740,51 unequal: No Solution
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 20+87=107, Resulting Numbers: [107]
107,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,4
Current State: 51:[7, 52], Operations: ['83-11=72', '72-20=52']
Exploring Operation: 7*52=364, Resulting Numbers: [364]
364,51 unequal: No Solution
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,51 unequal: No Solution
Exploring Operation: 7+52=59, Resulting Numbers: [59]
59,51 unequal: No Solution
Moving to Node #0,2,3
Current State: 51:[20, 65], Operations: ['83-11=72', '72-7=65']
Exploring Operation: 65-20=45, Resulting Numbers: [45]
45,51 unequal: No Solution
Exploring Operation: 20+65=85, Resulting Numbers: [85]
85,51 unequal: No Solution
Exploring Operation: 20*65=1300, Resulting Numbers: [1300]
1300,51 unequal: No Solution
Moving to Node #0,2,0
Current State: 51:[72, 13], Operations: ['83-11=72', '20-7=13']
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,51 unequal: No Solution
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,51 unequal: No Solution
Exploring Operation: 72*13=936, Resulting Numbers: [936]
936,51 unequal: No Solution
Moving to Node #0,2,1
Current State: 51:[20, 79], Operations: ['83-11=72', '7+72=79']
Exploring Operation: 20+79=99, Resulting Numbers: [99]
99,51 unequal: No Solution
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,51 unequal: No Solution
Exploring Operation: 20*79=1580, Resulting Numbers: [1580]
1580,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[72, 27], Operations: ['83-11=72', '7+20=27']
Exploring Operation: 72*27=1944, Resulting Numbers: [1944]
1944,51 unequal: No Solution
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,51 unequal: No Solution
Exploring Operation: 72+27=99, Resulting Numbers: [99]
99,51 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
2,
44,
22,
58
] | 31 | [
"58/2=29",
"44/22=2",
"29+2=31"
] | Current State: 31:[2, 44, 22, 58], Operations: []
Exploring Operation: 58/2=29, Resulting Numbers: [44, 22, 29]
Generated Node #2: [44, 22, 29] from Operation: 58/2=29
Current State: 31:[44, 22, 29], Operations: ['58/2=29']
Exploring Operation: 44/22=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 44/22=2
Current State: 31:[29, 2], Operations: ['58/2=29', '44/22=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[2, 44, 22, 58], Operations: []
Exploring Operation: 58/2=29, Resulting Numbers: [44, 22, 29]
Generated Node #0,0: 31:[44, 22, 29] Operation: 58/2=29
Exploring Operation: 44/2=22, Resulting Numbers: [22, 58, 22]
Generated Node #0,1: 31:[22, 58, 22] Operation: 44/2=22
Exploring Operation: 44-2=42, Resulting Numbers: [22, 58, 42]
Generated Node #0,2: 31:[22, 58, 42] Operation: 44-2=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[44, 22, 29], Operations: ['58/2=29']
Exploring Operation: 44-22=22, Resulting Numbers: [29, 22]
Generated Node #0,0,0: 31:[29, 22] Operation: 44-22=22
Exploring Operation: 44-29=15, Resulting Numbers: [22, 15]
Generated Node #0,0,1: 31:[22, 15] Operation: 44-29=15
Exploring Operation: 44/22=2, Resulting Numbers: [29, 2]
Generated Node #0,0,2: 31:[29, 2] Operation: 44/22=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 31:[29, 22], Operations: ['58/2=29', '44-22=22']
Exploring Operation: 29+22=51, Resulting Numbers: [51]
51,31 unequal: No Solution
Exploring Operation: 29*22=638, Resulting Numbers: [638]
638,31 unequal: No Solution
Exploring Operation: 29-22=7, Resulting Numbers: [7]
7,31 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 #0,0,1
Current State: 31:[22, 15], Operations: ['58/2=29', '44-29=15']
Exploring Operation: 22*15=330, Resulting Numbers: [330]
330,31 unequal: No Solution
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,31 unequal: No Solution
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,31 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 #0,0,2
Current State: 31:[29, 2], Operations: ['58/2=29', '44/22=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,31 unequal: No Solution
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,31 unequal: No Solution
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[2, 44, 22, 58], Operations: []
Exploring Operation: 58/2=29, Resulting Numbers: [44, 22, 29]
Generated Node #0,0: 31:[44, 22, 29] Operation: 58/2=29
Moving to Node #0,0
Current State: 31:[44, 22, 29], Operations: ['58/2=29']
Exploring Operation: 44/22=2, Resulting Numbers: [29, 2]
Generated Node #0,0,2: 31:[29, 2] Operation: 44/22=2
Moving to Node #0,0,2
Current State: 31:[29, 2], Operations: ['58/2=29', '44/22=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_3 | sum_heuristic |
[
85,
89,
76,
12
] | 31 | [
"89-85=4",
"76/4=19",
"12+19=31"
] | Current State: 31:[85, 89, 76, 12], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [76, 12, 4]
Generated Node #2: [76, 12, 4] from Operation: 89-85=4
Current State: 31:[76, 12, 4], Operations: ['89-85=4']
Exploring Operation: 76/4=19, Resulting Numbers: [12, 19]
Generated Node #3: [12, 19] from Operation: 76/4=19
Current State: 31:[12, 19], Operations: ['89-85=4', '76/4=19']
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[85, 89, 76, 12], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [76, 12, 4]
Generated Node #0,0: 31:[76, 12, 4] Operation: 89-85=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[76, 12, 4], Operations: ['89-85=4']
Exploring Operation: 76/4=19, Resulting Numbers: [12, 19]
Generated Node #0,0,0: 31:[12, 19] Operation: 76/4=19
Moving to Node #0,0,0
Current State: 31:[12, 19], Operations: ['89-85=4', '76/4=19']
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[85, 89, 76, 12], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [76, 12, 4]
Generated Node #0,0: 31:[76, 12, 4] Operation: 89-85=4
Moving to Node #0,0
Current State: 31:[76, 12, 4], Operations: ['89-85=4']
Exploring Operation: 76/4=19, Resulting Numbers: [12, 19]
Generated Node #0,0,0: 31:[12, 19] Operation: 76/4=19
Moving to Node #0,0,0
Current State: 31:[12, 19], Operations: ['89-85=4', '76/4=19']
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
23,
73,
5,
80
] | 11 | [
"23+73=96",
"5+80=85",
"96-85=11"
] | Current State: 11:[23, 73, 5, 80], Operations: []
Exploring Operation: 23+73=96, Resulting Numbers: [5, 80, 96]
Generated Node #2: [5, 80, 96] from Operation: 23+73=96
Current State: 11:[5, 80, 96], Operations: ['23+73=96']
Exploring Operation: 5+80=85, Resulting Numbers: [96, 85]
Generated Node #3: [96, 85] from Operation: 5+80=85
Current State: 11:[96, 85], Operations: ['23+73=96', '5+80=85']
Exploring Operation: 96-85=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[23, 73, 5, 80], Operations: []
Exploring Operation: 80-73=7, Resulting Numbers: [23, 5, 7]
Generated Node #0,0: 11:[23, 5, 7] Operation: 80-73=7
Exploring Operation: 73-23=50, Resulting Numbers: [5, 80, 50]
Generated Node #0,1: 11:[5, 80, 50] Operation: 73-23=50
Exploring Operation: 80-23=57, Resulting Numbers: [73, 5, 57]
Generated Node #0,2: 11:[73, 5, 57] Operation: 80-23=57
Exploring Operation: 80/5=16, Resulting Numbers: [23, 73, 16]
Generated Node #0,3: 11:[23, 73, 16] Operation: 80/5=16
Exploring Operation: 23-5=18, Resulting Numbers: [73, 80, 18]
Generated Node #0,4: 11:[73, 80, 18] Operation: 23-5=18
Moving to Node #0,0
Current State: 11:[23, 5, 7], Operations: ['80-73=7']
Exploring Operation: 23-5=18, Resulting Numbers: [7, 18]
Generated Node #0,0,0: 11:[7, 18] Operation: 23-5=18
Exploring Operation: 23+5=28, Resulting Numbers: [7, 28]
Generated Node #0,0,1: 11:[7, 28] Operation: 23+5=28
Exploring Operation: 7-5=2, Resulting Numbers: [23, 2]
Generated Node #0,0,2: 11:[23, 2] Operation: 7-5=2
Exploring Operation: 5+7=12, Resulting Numbers: [23, 12]
Generated Node #0,0,3: 11:[23, 12] Operation: 5+7=12
Exploring Operation: 23-7=16, Resulting Numbers: [5, 16]
Generated Node #0,0,4: 11:[5, 16] Operation: 23-7=16
Moving to Node #0,3
Current State: 11:[23, 73, 16], Operations: ['80/5=16']
Exploring Operation: 23+16=39, Resulting Numbers: [73, 39]
Generated Node #0,3,0: 11:[73, 39] Operation: 23+16=39
Exploring Operation: 73-23=50, Resulting Numbers: [16, 50]
Generated Node #0,3,1: 11:[16, 50] Operation: 73-23=50
Exploring Operation: 23-16=7, Resulting Numbers: [73, 7]
Generated Node #0,3,2: 11:[73, 7] Operation: 23-16=7
Exploring Operation: 23+73=96, Resulting Numbers: [16, 96]
Generated Node #0,3,3: 11:[16, 96] Operation: 23+73=96
Exploring Operation: 73-16=57, Resulting Numbers: [23, 57]
Generated Node #0,3,4: 11:[23, 57] Operation: 73-16=57
Moving to Node #0,1
Current State: 11:[5, 80, 50], Operations: ['73-23=50']
Exploring Operation: 50/5=10, Resulting Numbers: [80, 10]
Generated Node #0,1,0: 11:[80, 10] Operation: 50/5=10
Exploring Operation: 80-50=30, Resulting Numbers: [5, 30]
Generated Node #0,1,1: 11:[5, 30] Operation: 80-50=30
Exploring Operation: 80/5=16, Resulting Numbers: [50, 16]
Generated Node #0,1,2: 11:[50, 16] Operation: 80/5=16
Exploring Operation: 50-5=45, Resulting Numbers: [80, 45]
Generated Node #0,1,3: 11:[80, 45] Operation: 50-5=45
Exploring Operation: 80-5=75, Resulting Numbers: [50, 75]
Generated Node #0,1,4: 11:[50, 75] Operation: 80-5=75
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 11:[5, 30], Operations: ['73-23=50', '80-50=30']
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,11 unequal: No Solution
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,11 unequal: No Solution
Exploring Operation: 5*30=150, Resulting Numbers: [150]
150,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 11:[50, 16], Operations: ['73-23=50', '80/5=16']
Exploring Operation: 50+16=66, Resulting Numbers: [66]
66,11 unequal: No Solution
Exploring Operation: 50*16=800, Resulting Numbers: [800]
800,11 unequal: No Solution
Exploring Operation: 50-16=34, Resulting Numbers: [34]
34,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 11:[80, 10], Operations: ['73-23=50', '50/5=10']
Exploring Operation: 80*10=800, Resulting Numbers: [800]
800,11 unequal: No Solution
Exploring Operation: 80-10=70, Resulting Numbers: [70]
70,11 unequal: No Solution
Exploring Operation: 80/10=8, Resulting Numbers: [8]
8,11 unequal: No Solution
Exploring Operation: 80+10=90, Resulting Numbers: [90]
90,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 11:[80, 45], Operations: ['73-23=50', '50-5=45']
Exploring Operation: 80-45=35, Resulting Numbers: [35]
35,11 unequal: No Solution
Exploring Operation: 80+45=125, Resulting Numbers: [125]
125,11 unequal: No Solution
Exploring Operation: 80*45=3600, Resulting Numbers: [3600]
3600,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 11:[50, 75], Operations: ['73-23=50', '80-5=75']
Exploring Operation: 75-50=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 50+75=125, Resulting Numbers: [125]
125,11 unequal: No Solution
Exploring Operation: 50*75=3750, Resulting Numbers: [3750]
3750,11 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: 11:[73, 5, 57], Operations: ['80-23=57']
Exploring Operation: 73-57=16, Resulting Numbers: [5, 16]
Generated Node #0,2,0: 11:[5, 16] Operation: 73-57=16
Exploring Operation: 5+57=62, Resulting Numbers: [73, 62]
Generated Node #0,2,1: 11:[73, 62] Operation: 5+57=62
Exploring Operation: 73+5=78, Resulting Numbers: [57, 78]
Generated Node #0,2,2: 11:[57, 78] Operation: 73+5=78
Exploring Operation: 57-5=52, Resulting Numbers: [73, 52]
Generated Node #0,2,3: 11:[73, 52] Operation: 57-5=52
Exploring Operation: 73-5=68, Resulting Numbers: [57, 68]
Generated Node #0,2,4: 11:[57, 68] Operation: 73-5=68
Moving to Node #0,4
Current State: 11:[73, 80, 18], Operations: ['23-5=18']
Exploring Operation: 73+18=91, Resulting Numbers: [80, 91]
Generated Node #0,4,0: 11:[80, 91] Operation: 73+18=91
Exploring Operation: 80-73=7, Resulting Numbers: [18, 7]
Generated Node #0,4,1: 11:[18, 7] Operation: 80-73=7
Exploring Operation: 73-18=55, Resulting Numbers: [80, 55]
Generated Node #0,4,2: 11:[80, 55] Operation: 73-18=55
Exploring Operation: 80-18=62, Resulting Numbers: [73, 62]
Generated Node #0,4,3: 11:[73, 62] Operation: 80-18=62
Exploring Operation: 73+80=153, Resulting Numbers: [18, 153]
Generated Node #0,4,4: 11:[18, 153] Operation: 73+80=153
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 11:[18, 7], Operations: ['23-5=18', '80-73=7']
Exploring Operation: 18*7=126, Resulting Numbers: [126]
126,11 unequal: No Solution
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[23, 73, 5, 80], Operations: []
Exploring Operation: 23-5=18, Resulting Numbers: [73, 80, 18]
Generated Node #0,4: 11:[73, 80, 18] Operation: 23-5=18
Moving to Node #0,4
Current State: 11:[73, 80, 18], Operations: ['23-5=18']
Exploring Operation: 80-73=7, Resulting Numbers: [18, 7]
Generated Node #0,4,1: 11:[18, 7] Operation: 80-73=7
Moving to Node #0,4,1
Current State: 11:[18, 7], Operations: ['23-5=18', '80-73=7']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.953125 | hs_5 | mult_heuristic |
[
6,
94,
17,
6
] | 75 | [
"6*6=36",
"94+17=111",
"111-36=75"
] | Current State: 75:[6, 94, 17, 6], Operations: []
Exploring Operation: 6*6=36, Resulting Numbers: [94, 17, 36]
Generated Node #2: [94, 17, 36] from Operation: 6*6=36
Current State: 75:[94, 17, 36], Operations: ['6*6=36']
Exploring Operation: 94+17=111, Resulting Numbers: [36, 111]
Generated Node #3: [36, 111] from Operation: 94+17=111
Current State: 75:[36, 111], Operations: ['6*6=36', '94+17=111']
Exploring Operation: 111-36=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[6, 94, 17, 6], Operations: []
Exploring Operation: 94-6=88, Resulting Numbers: [17, 6, 88]
Generated Node #0,0: 75:[17, 6, 88] Operation: 94-6=88
Exploring Operation: 17+6=23, Resulting Numbers: [6, 94, 23]
Generated Node #0,1: 75:[6, 94, 23] Operation: 17+6=23
Exploring Operation: 94-17=77, Resulting Numbers: [6, 6, 77]
Generated Node #0,2: 75:[6, 6, 77] Operation: 94-17=77
Exploring Operation: 94-6=88, Resulting Numbers: [6, 17, 88]
Generated Node #0,3: 75:[6, 17, 88] Operation: 94-6=88
Exploring Operation: 6+17=23, Resulting Numbers: [94, 6, 23]
Generated Node #0,4: 75:[94, 6, 23] Operation: 6+17=23
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[6, 6, 77], Operations: ['94-17=77']
Exploring Operation: 77-6=71, Resulting Numbers: [6, 71]
Generated Node #0,2,0: 75:[6, 71] Operation: 77-6=71
Exploring Operation: 77-6=71, Resulting Numbers: [6, 71]
Generated Node #0,2,1: 75:[6, 71] Operation: 77-6=71
Exploring Operation: 6-6=0, Resulting Numbers: [77, 0]
Generated Node #0,2,2: 75:[77, 0] Operation: 6-6=0
Exploring Operation: 6/6=1, Resulting Numbers: [77, 1]
Generated Node #0,2,3: 75:[77, 1] Operation: 6/6=1
Exploring Operation: 6+6=12, Resulting Numbers: [77, 12]
Generated Node #0,2,4: 75:[77, 12] Operation: 6+6=12
Moving to Node #0,2,3
Current State: 75:[77, 1], Operations: ['94-17=77', '6/6=1']
Exploring Operation: 77/1=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 77+1=78, Resulting Numbers: [78]
78,75 unequal: No Solution
Exploring Operation: 77*1=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,75 unequal: No Solution
Moving to Node #0,2,1
Current State: 75:[6, 71], Operations: ['94-17=77', '77-6=71']
Exploring Operation: 6*71=426, Resulting Numbers: [426]
426,75 unequal: No Solution
Exploring Operation: 6+71=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,75 unequal: No Solution
Moving to Node #0,2,4
Current State: 75:[77, 12], Operations: ['94-17=77', '6+6=12']
Exploring Operation: 77*12=924, Resulting Numbers: [924]
924,75 unequal: No Solution
Exploring Operation: 77-12=65, Resulting Numbers: [65]
65,75 unequal: No Solution
Exploring Operation: 77+12=89, Resulting Numbers: [89]
89,75 unequal: No Solution
Moving to Node #0,2,0
Current State: 75:[6, 71], Operations: ['94-17=77', '77-6=71']
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,75 unequal: No Solution
Exploring Operation: 6+71=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 6*71=426, Resulting Numbers: [426]
426,75 unequal: No Solution
Moving to Node #0,2,2
Current State: 75:[77, 0], Operations: ['94-17=77', '6-6=0']
Exploring Operation: 77-0=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 77+0=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 77*0=0, Resulting Numbers: [0]
0,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[17, 6, 88], Operations: ['94-6=88']
Exploring Operation: 6+88=94, Resulting Numbers: [17, 94]
Generated Node #0,0,0: 75:[17, 94] Operation: 6+88=94
Exploring Operation: 17+6=23, Resulting Numbers: [88, 23]
Generated Node #0,0,1: 75:[88, 23] Operation: 17+6=23
Exploring Operation: 88-6=82, Resulting Numbers: [17, 82]
Generated Node #0,0,2: 75:[17, 82] Operation: 88-6=82
Exploring Operation: 17-6=11, Resulting Numbers: [88, 11]
Generated Node #0,0,3: 75:[88, 11] Operation: 17-6=11
Exploring Operation: 88-17=71, Resulting Numbers: [6, 71]
Generated Node #0,0,4: 75:[6, 71] Operation: 88-17=71
Moving to Node #0,0,4
Current State: 75:[6, 71], Operations: ['94-6=88', '88-17=71']
Exploring Operation: 6+71=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 6*71=426, Resulting Numbers: [426]
426,75 unequal: No Solution
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,75 unequal: No Solution
Moving to Node #0,0,2
Current State: 75:[17, 82], Operations: ['94-6=88', '88-6=82']
Exploring Operation: 82-17=65, Resulting Numbers: [65]
65,75 unequal: No Solution
Exploring Operation: 17+82=99, Resulting Numbers: [99]
99,75 unequal: No Solution
Exploring Operation: 17*82=1394, Resulting Numbers: [1394]
1394,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[88, 23], Operations: ['94-6=88', '17+6=23']
Exploring Operation: 88+23=111, Resulting Numbers: [111]
111,75 unequal: No Solution
Exploring Operation: 88*23=2024, Resulting Numbers: [2024]
2024,75 unequal: No Solution
Exploring Operation: 88-23=65, Resulting Numbers: [65]
65,75 unequal: No Solution
Moving to Node #0,0,3
Current State: 75:[88, 11], Operations: ['94-6=88', '17-6=11']
Exploring Operation: 88-11=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 88/11=8, Resulting Numbers: [8]
8,75 unequal: No Solution
Exploring Operation: 88+11=99, Resulting Numbers: [99]
99,75 unequal: No Solution
Exploring Operation: 88*11=968, Resulting Numbers: [968]
968,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[17, 94], Operations: ['94-6=88', '6+88=94']
Exploring Operation: 17*94=1598, Resulting Numbers: [1598]
1598,75 unequal: No Solution
Exploring Operation: 17+94=111, Resulting Numbers: [111]
111,75 unequal: No Solution
Exploring Operation: 94-17=77, Resulting Numbers: [77]
77,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 75:[6, 17, 88], Operations: ['94-6=88']
Exploring Operation: 88-17=71, Resulting Numbers: [6, 71]
Generated Node #0,3,0: 75:[6, 71] Operation: 88-17=71
Exploring Operation: 6+17=23, Resulting Numbers: [88, 23]
Generated Node #0,3,1: 75:[88, 23] Operation: 6+17=23
Exploring Operation: 17-6=11, Resulting Numbers: [88, 11]
Generated Node #0,3,2: 75:[88, 11] Operation: 17-6=11
Exploring Operation: 6+88=94, Resulting Numbers: [17, 94]
Generated Node #0,3,3: 75:[17, 94] Operation: 6+88=94
Exploring Operation: 88-6=82, Resulting Numbers: [17, 82]
Generated Node #0,3,4: 75:[17, 82] Operation: 88-6=82
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 75:[6, 71], Operations: ['94-6=88', '88-17=71']
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,75 unequal: No Solution
Exploring Operation: 6+71=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 6*71=426, Resulting Numbers: [426]
426,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 75:[17, 82], Operations: ['94-6=88', '88-6=82']
Exploring Operation: 82-17=65, Resulting Numbers: [65]
65,75 unequal: No Solution
Exploring Operation: 17+82=99, Resulting Numbers: [99]
99,75 unequal: No Solution
Exploring Operation: 17*82=1394, Resulting Numbers: [1394]
1394,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 75:[88, 23], Operations: ['94-6=88', '6+17=23']
Exploring Operation: 88+23=111, Resulting Numbers: [111]
111,75 unequal: No Solution
Exploring Operation: 88*23=2024, Resulting Numbers: [2024]
2024,75 unequal: No Solution
Exploring Operation: 88-23=65, Resulting Numbers: [65]
65,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 75:[88, 11], Operations: ['94-6=88', '17-6=11']
Exploring Operation: 88*11=968, Resulting Numbers: [968]
968,75 unequal: No Solution
Exploring Operation: 88-11=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 88+11=99, Resulting Numbers: [99]
99,75 unequal: No Solution
Exploring Operation: 88/11=8, Resulting Numbers: [8]
8,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 75:[17, 94], Operations: ['94-6=88', '6+88=94']
Exploring Operation: 17*94=1598, Resulting Numbers: [1598]
1598,75 unequal: No Solution
Exploring Operation: 17+94=111, Resulting Numbers: [111]
111,75 unequal: No Solution
Exploring Operation: 94-17=77, Resulting Numbers: [77]
77,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[6, 94, 23], Operations: ['17+6=23']
Exploring Operation: 94-23=71, Resulting Numbers: [6, 71]
Generated Node #0,1,0: 75:[6, 71] Operation: 94-23=71
Exploring Operation: 23-6=17, Resulting Numbers: [94, 17]
Generated Node #0,1,1: 75:[94, 17] Operation: 23-6=17
Exploring Operation: 6+23=29, Resulting Numbers: [94, 29]
Generated Node #0,1,2: 75:[94, 29] Operation: 6+23=29
Exploring Operation: 6+94=100, Resulting Numbers: [23, 100]
Generated Node #0,1,3: 75:[23, 100] Operation: 6+94=100
Exploring Operation: 94-6=88, Resulting Numbers: [23, 88]
Generated Node #0,1,4: 75:[23, 88] Operation: 94-6=88
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 75:[6, 71], Operations: ['17+6=23', '94-23=71']
Exploring Operation: 6*71=426, Resulting Numbers: [426]
426,75 unequal: No Solution
Exploring Operation: 6+71=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 75:[23, 88], Operations: ['17+6=23', '94-6=88']
Exploring Operation: 23+88=111, Resulting Numbers: [111]
111,75 unequal: No Solution
Exploring Operation: 23*88=2024, Resulting Numbers: [2024]
2024,75 unequal: No Solution
Exploring Operation: 88-23=65, Resulting Numbers: [65]
65,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 75:[94, 17], Operations: ['17+6=23', '23-6=17']
Exploring Operation: 94-17=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 94*17=1598, Resulting Numbers: [1598]
1598,75 unequal: No Solution
Exploring Operation: 94+17=111, Resulting Numbers: [111]
111,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 75:[94, 29], Operations: ['17+6=23', '6+23=29']
Exploring Operation: 94+29=123, Resulting Numbers: [123]
123,75 unequal: No Solution
Exploring Operation: 94-29=65, Resulting Numbers: [65]
65,75 unequal: No Solution
Exploring Operation: 94*29=2726, Resulting Numbers: [2726]
2726,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 75:[23, 100], Operations: ['17+6=23', '6+94=100']
Exploring Operation: 100-23=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 23*100=2300, Resulting Numbers: [2300]
2300,75 unequal: No Solution
Exploring Operation: 23+100=123, Resulting Numbers: [123]
123,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 75:[94, 6, 23], Operations: ['6+17=23']
Exploring Operation: 94-23=71, Resulting Numbers: [6, 71]
Generated Node #0,4,0: 75:[6, 71] Operation: 94-23=71
Exploring Operation: 6+23=29, Resulting Numbers: [94, 29]
Generated Node #0,4,1: 75:[94, 29] Operation: 6+23=29
Exploring Operation: 94+6=100, Resulting Numbers: [23, 100]
Generated Node #0,4,2: 75:[23, 100] Operation: 94+6=100
Exploring Operation: 23-6=17, Resulting Numbers: [94, 17]
Generated Node #0,4,3: 75:[94, 17] Operation: 23-6=17
Exploring Operation: 94-6=88, Resulting Numbers: [23, 88]
Generated Node #0,4,4: 75:[23, 88] Operation: 94-6=88
Moving to Node #0,4,0
Current State: 75:[6, 71], Operations: ['6+17=23', '94-23=71']
Exploring Operation: 6*71=426, Resulting Numbers: [426]
426,75 unequal: No Solution
Exploring Operation: 6+71=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,75 unequal: No Solution
Moving to Node #0,4,4
Current State: 75:[23, 88], Operations: ['6+17=23', '94-6=88']
Exploring Operation: 23*88=2024, Resulting Numbers: [2024]
2024,75 unequal: No Solution
Exploring Operation: 88-23=65, Resulting Numbers: [65]
65,75 unequal: No Solution
Exploring Operation: 23+88=111, Resulting Numbers: [111]
111,75 unequal: No Solution
Moving to Node #0,4,3
Current State: 75:[94, 17], Operations: ['6+17=23', '23-6=17']
Exploring Operation: 94+17=111, Resulting Numbers: [111]
111,75 unequal: No Solution
Exploring Operation: 94-17=77, Resulting Numbers: [77]
77,75 unequal: No Solution
Exploring Operation: 94*17=1598, Resulting Numbers: [1598]
1598,75 unequal: No Solution
Moving to Node #0,4,1
Current State: 75:[94, 29], Operations: ['6+17=23', '6+23=29']
Exploring Operation: 94+29=123, Resulting Numbers: [123]
123,75 unequal: No Solution
Exploring Operation: 94-29=65, Resulting Numbers: [65]
65,75 unequal: No Solution
Exploring Operation: 94*29=2726, Resulting Numbers: [2726]
2726,75 unequal: No Solution
Moving to Node #0,4,2
Current State: 75:[23, 100], Operations: ['6+17=23', '94+6=100']
Exploring Operation: 23*100=2300, Resulting Numbers: [2300]
2300,75 unequal: No Solution
Exploring Operation: 23+100=123, Resulting Numbers: [123]
123,75 unequal: No Solution
Exploring Operation: 100-23=77, Resulting Numbers: [77]
77,75 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 |
[
2,
2,
55,
52
] | 58 | [
"52/2=26",
"55-26=29",
"2*29=58"
] | Current State: 58:[2, 2, 55, 52], Operations: []
Exploring Operation: 52/2=26, Resulting Numbers: [55, 26]
Generated Node #2: [55, 26] from Operation: 52/2=26
Current State: 58:[55, 26], Operations: ['52/2=26']
Exploring Operation: 55-26=29, Resulting Numbers: [29]
29,58 equal: Goal Reached
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[2, 2, 55, 52], Operations: []
Exploring Operation: 52/2=26, Resulting Numbers: [2, 55, 26]
Generated Node #0,0: 58:[2, 55, 26] Operation: 52/2=26
Exploring Operation: 2+55=57, Resulting Numbers: [2, 52, 57]
Generated Node #0,1: 58:[2, 52, 57] Operation: 2+55=57
Exploring Operation: 52/2=26, Resulting Numbers: [2, 55, 26]
Generated Node #0,2: 58:[2, 55, 26] Operation: 52/2=26
Exploring Operation: 55-52=3, Resulting Numbers: [2, 2, 3]
Generated Node #0,3: 58:[2, 2, 3] Operation: 55-52=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 58:[2, 2, 3], Operations: ['55-52=3']
Exploring Operation: 3-2=1, Resulting Numbers: [2, 1]
Generated Node #0,3,0: 58:[2, 1] Operation: 3-2=1
Exploring Operation: 2+2=4, Resulting Numbers: [3, 4]
Generated Node #0,3,1: 58:[3, 4] Operation: 2+2=4
Exploring Operation: 3-2=1, Resulting Numbers: [2, 1]
Generated Node #0,3,2: 58:[2, 1] Operation: 3-2=1
Exploring Operation: 2/2=1, Resulting Numbers: [3, 1]
Generated Node #0,3,3: 58:[3, 1] Operation: 2/2=1
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 58:[2, 1], Operations: ['55-52=3', '3-2=1']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,58 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,58 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 58:[2, 1], Operations: ['55-52=3', '3-2=1']
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,58 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 58:[3, 1], Operations: ['55-52=3', '2/2=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,58 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,58 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 58:[3, 4], Operations: ['55-52=3', '2+2=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,58 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,58 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[2, 55, 26], Operations: ['52/2=26']
Exploring Operation: 2+55=57, Resulting Numbers: [26, 57]
Generated Node #0,0,0: 58:[26, 57] Operation: 2+55=57
Exploring Operation: 55-26=29, Resulting Numbers: [2, 29]
Generated Node #0,0,1: 58:[2, 29] Operation: 55-26=29
Exploring Operation: 55-2=53, Resulting Numbers: [26, 53]
Generated Node #0,0,2: 58:[26, 53] Operation: 55-2=53
Exploring Operation: 2+26=28, Resulting Numbers: [55, 28]
Generated Node #0,0,3: 58:[55, 28] Operation: 2+26=28
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 58:[2, 29], Operations: ['52/2=26', '55-26=29']
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,58 unequal: No Solution
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[2, 2, 55, 52], Operations: []
Exploring Operation: 52/2=26, Resulting Numbers: [2, 55, 26]
Generated Node #0,0: 58:[2, 55, 26] Operation: 52/2=26
Moving to Node #0,0
Current State: 58:[2, 55, 26], Operations: ['52/2=26']
Exploring Operation: 55-26=29, Resulting Numbers: [2, 29]
Generated Node #0,0,1: 58:[2, 29] Operation: 55-26=29
Moving to Node #0,0,1
Current State: 58:[2, 29], Operations: ['52/2=26', '55-26=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.970486 | hs_4 | mult_heuristic |
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