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 |
|---|---|---|---|---|---|---|---|---|
[
95,
64,
22,
93
] | 40 | [
"95-64=31",
"93-22=71",
"71-31=40"
] | Current State: 40:[95, 64, 22, 93], Operations: []
Exploring Operation: 95-64=31, Resulting Numbers: [22, 93, 31]
Generated Node #2: [22, 93, 31] from Operation: 95-64=31
Current State: 40:[22, 93, 31], Operations: ['95-64=31']
Exploring Operation: 93-22=71, Resulting Numbers: [31, 71]
Generated Node #3: [31, 71] from Operation: 93-22=71
Current State: 40:[31, 71], Operations: ['95-64=31', '93-22=71']
Exploring Operation: 71-31=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[95, 64, 22, 93], Operations: []
Exploring Operation: 95-22=73, Resulting Numbers: [64, 93, 73]
Generated Node #0,0: 40:[64, 93, 73] Operation: 95-22=73
Exploring Operation: 95-93=2, Resulting Numbers: [64, 22, 2]
Generated Node #0,1: 40:[64, 22, 2] Operation: 95-93=2
Exploring Operation: 95-64=31, Resulting Numbers: [22, 93, 31]
Generated Node #0,2: 40:[22, 93, 31] Operation: 95-64=31
Exploring Operation: 93-64=29, Resulting Numbers: [95, 22, 29]
Generated Node #0,3: 40:[95, 22, 29] Operation: 93-64=29
Exploring Operation: 64-22=42, Resulting Numbers: [95, 93, 42]
Generated Node #0,4: 40:[95, 93, 42] Operation: 64-22=42
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[64, 22, 2], Operations: ['95-93=2']
Exploring Operation: 64-22=42, Resulting Numbers: [2, 42]
Generated Node #0,1,0: 40:[2, 42] Operation: 64-22=42
Exploring Operation: 22-2=20, Resulting Numbers: [64, 20]
Generated Node #0,1,1: 40:[64, 20] Operation: 22-2=20
Exploring Operation: 64/2=32, Resulting Numbers: [22, 32]
Generated Node #0,1,2: 40:[22, 32] Operation: 64/2=32
Exploring Operation: 22/2=11, Resulting Numbers: [64, 11]
Generated Node #0,1,3: 40:[64, 11] Operation: 22/2=11
Exploring Operation: 64-2=62, Resulting Numbers: [22, 62]
Generated Node #0,1,4: 40:[22, 62] Operation: 64-2=62
Moving to Node #0,1,0
Current State: 40:[2, 42], Operations: ['95-93=2', '64-22=42']
Exploring Operation: 2+42=44, Resulting Numbers: [44]
44,40 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[95, 64, 22, 93], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [64, 22, 2]
Generated Node #0,1: 40:[64, 22, 2] Operation: 95-93=2
Moving to Node #0,1
Current State: 40:[64, 22, 2], Operations: ['95-93=2']
Exploring Operation: 64-22=42, Resulting Numbers: [2, 42]
Generated Node #0,1,0: 40:[2, 42] Operation: 64-22=42
Moving to Node #0,1,0
Current State: 40:[2, 42], Operations: ['95-93=2', '64-22=42']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
5,
52,
56,
49
] | 40 | [
"52-5=47",
"56-49=7",
"47-7=40"
] | Current State: 40:[5, 52, 56, 49], Operations: []
Exploring Operation: 52-5=47, Resulting Numbers: [56, 49, 47]
Generated Node #2: [56, 49, 47] from Operation: 52-5=47
Current State: 40:[56, 49, 47], Operations: ['52-5=47']
Exploring Operation: 56-49=7, Resulting Numbers: [47, 7]
Generated Node #3: [47, 7] from Operation: 56-49=7
Current State: 40:[47, 7], Operations: ['52-5=47', '56-49=7']
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[5, 52, 56, 49], Operations: []
Exploring Operation: 56-49=7, Resulting Numbers: [5, 52, 7]
Generated Node #0,0: 40:[5, 52, 7] Operation: 56-49=7
Exploring Operation: 52-5=47, Resulting Numbers: [56, 49, 47]
Generated Node #0,1: 40:[56, 49, 47] Operation: 52-5=47
Exploring Operation: 52-49=3, Resulting Numbers: [5, 56, 3]
Generated Node #0,2: 40:[5, 56, 3] Operation: 52-49=3
Exploring Operation: 56-5=51, Resulting Numbers: [52, 49, 51]
Generated Node #0,3: 40:[52, 49, 51] Operation: 56-5=51
Exploring Operation: 56-52=4, Resulting Numbers: [5, 49, 4]
Generated Node #0,4: 40:[5, 49, 4] Operation: 56-52=4
Moving to Node #0,4
Current State: 40:[5, 49, 4], Operations: ['56-52=4']
Exploring Operation: 5*4=20, Resulting Numbers: [49, 20]
Generated Node #0,4,0: 40:[49, 20] Operation: 5*4=20
Exploring Operation: 5-4=1, Resulting Numbers: [49, 1]
Generated Node #0,4,1: 40:[49, 1] Operation: 5-4=1
Exploring Operation: 5+4=9, Resulting Numbers: [49, 9]
Generated Node #0,4,2: 40:[49, 9] Operation: 5+4=9
Exploring Operation: 49-5=44, Resulting Numbers: [4, 44]
Generated Node #0,4,3: 40:[4, 44] Operation: 49-5=44
Exploring Operation: 49-4=45, Resulting Numbers: [5, 45]
Generated Node #0,4,4: 40:[5, 45] Operation: 49-4=45
Moving to Node #0,0
Current State: 40:[5, 52, 7], Operations: ['56-49=7']
Exploring Operation: 52-5=47, Resulting Numbers: [7, 47]
Generated Node #0,0,0: 40:[7, 47] Operation: 52-5=47
Exploring Operation: 52-7=45, Resulting Numbers: [5, 45]
Generated Node #0,0,1: 40:[5, 45] Operation: 52-7=45
Exploring Operation: 5+7=12, Resulting Numbers: [52, 12]
Generated Node #0,0,2: 40:[52, 12] Operation: 5+7=12
Exploring Operation: 7-5=2, Resulting Numbers: [52, 2]
Generated Node #0,0,3: 40:[52, 2] Operation: 7-5=2
Exploring Operation: 5*7=35, Resulting Numbers: [52, 35]
Generated Node #0,0,4: 40:[52, 35] Operation: 5*7=35
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 40:[5, 45], Operations: ['56-49=7', '52-7=45']
Exploring Operation: 5+45=50, Resulting Numbers: [50]
50,40 unequal: No Solution
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,40 unequal: No Solution
Exploring Operation: 5*45=225, Resulting Numbers: [225]
225,40 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[5, 52, 56, 49], Operations: []
Exploring Operation: 56-49=7, Resulting Numbers: [5, 52, 7]
Generated Node #0,0: 40:[5, 52, 7] Operation: 56-49=7
Moving to Node #0,0
Current State: 40:[5, 52, 7], Operations: ['56-49=7']
Exploring Operation: 52-7=45, Resulting Numbers: [5, 45]
Generated Node #0,0,1: 40:[5, 45] Operation: 52-7=45
Moving to Node #0,0,1
Current State: 40:[5, 45], Operations: ['56-49=7', '52-7=45']
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
78,
65,
12,
54
] | 63 | [
"78-54=24",
"24/12=2",
"65-2=63"
] | Current State: 63:[78, 65, 12, 54], Operations: []
Exploring Operation: 78-54=24, Resulting Numbers: [65, 12, 24]
Generated Node #2: [65, 12, 24] from Operation: 78-54=24
Current State: 63:[65, 12, 24], Operations: ['78-54=24']
Exploring Operation: 24/12=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 24/12=2
Current State: 63:[65, 2], Operations: ['78-54=24', '24/12=2']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[78, 65, 12, 54], Operations: []
Exploring Operation: 78-12=66, Resulting Numbers: [65, 54, 66]
Generated Node #0,0: 63:[65, 54, 66] Operation: 78-12=66
Exploring Operation: 78-65=13, Resulting Numbers: [12, 54, 13]
Generated Node #0,1: 63:[12, 54, 13] Operation: 78-65=13
Exploring Operation: 65-54=11, Resulting Numbers: [78, 12, 11]
Generated Node #0,2: 63:[78, 12, 11] Operation: 65-54=11
Exploring Operation: 78-54=24, Resulting Numbers: [65, 12, 24]
Generated Node #0,3: 63:[65, 12, 24] Operation: 78-54=24
Start Sub Search at level 1: Moving to Node #0,3
Current State: 63:[65, 12, 24], Operations: ['78-54=24']
Exploring Operation: 65-12=53, Resulting Numbers: [24, 53]
Generated Node #0,3,0: 63:[24, 53] Operation: 65-12=53
Exploring Operation: 65+12=77, Resulting Numbers: [24, 77]
Generated Node #0,3,1: 63:[24, 77] Operation: 65+12=77
Exploring Operation: 24-12=12, Resulting Numbers: [65, 12]
Generated Node #0,3,2: 63:[65, 12] Operation: 24-12=12
Exploring Operation: 24/12=2, Resulting Numbers: [65, 2]
Generated Node #0,3,3: 63:[65, 2] Operation: 24/12=2
Moving to Node #0,3,3
Current State: 63:[65, 2], Operations: ['78-54=24', '24/12=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,63 unequal: No Solution
Exploring Operation: 65*2=130, Resulting Numbers: [130]
130,63 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[78, 65, 12, 54], Operations: []
Exploring Operation: 78-54=24, Resulting Numbers: [65, 12, 24]
Generated Node #0,3: 63:[65, 12, 24] Operation: 78-54=24
Moving to Node #0,3
Current State: 63:[65, 12, 24], Operations: ['78-54=24']
Exploring Operation: 24/12=2, Resulting Numbers: [65, 2]
Generated Node #0,3,3: 63:[65, 2] Operation: 24/12=2
Moving to Node #0,3,3
Current State: 63:[65, 2], Operations: ['78-54=24', '24/12=2']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
82,
59,
31,
71
] | 79 | [
"82-59=23",
"31+71=102",
"102-23=79"
] | Current State: 79:[82, 59, 31, 71], Operations: []
Exploring Operation: 82-59=23, Resulting Numbers: [31, 71, 23]
Generated Node #2: [31, 71, 23] from Operation: 82-59=23
Current State: 79:[31, 71, 23], Operations: ['82-59=23']
Exploring Operation: 31+71=102, Resulting Numbers: [23, 102]
Generated Node #3: [23, 102] from Operation: 31+71=102
Current State: 79:[23, 102], Operations: ['82-59=23', '31+71=102']
Exploring Operation: 102-23=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[82, 59, 31, 71], Operations: []
Exploring Operation: 59+31=90, Resulting Numbers: [82, 71, 90]
Generated Node #0,0: 79:[82, 71, 90] Operation: 59+31=90
Moving to Node #0,0
Current State: 79:[82, 71, 90], Operations: ['59+31=90']
Exploring Operation: 90-71=19, Resulting Numbers: [82, 19]
Generated Node #0,0,0: 79:[82, 19] Operation: 90-71=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[82, 19], Operations: ['59+31=90', '90-71=19']
Exploring Operation: 82-19=63, Resulting Numbers: [63]
63,79 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 |
[
30,
35,
7,
18
] | 60 | [
"30-18=12",
"35/7=5",
"12*5=60"
] | Current State: 60:[30, 35, 7, 18], Operations: []
Exploring Operation: 30-18=12, Resulting Numbers: [35, 7, 12]
Generated Node #2: [35, 7, 12] from Operation: 30-18=12
Current State: 60:[35, 7, 12], Operations: ['30-18=12']
Exploring Operation: 35/7=5, Resulting Numbers: [12, 5]
Generated Node #3: [12, 5] from Operation: 35/7=5
Current State: 60:[12, 5], Operations: ['30-18=12', '35/7=5']
Exploring Operation: 12*5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[30, 35, 7, 18], Operations: []
Exploring Operation: 35-30=5, Resulting Numbers: [7, 18, 5]
Generated Node #0,0: 60:[7, 18, 5] Operation: 35-30=5
Exploring Operation: 35/7=5, Resulting Numbers: [30, 18, 5]
Generated Node #0,1: 60:[30, 18, 5] Operation: 35/7=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[30, 18, 5], Operations: ['35/7=5']
Exploring Operation: 18-5=13, Resulting Numbers: [30, 13]
Generated Node #0,1,0: 60:[30, 13] Operation: 18-5=13
Exploring Operation: 30-18=12, Resulting Numbers: [5, 12]
Generated Node #0,1,1: 60:[5, 12] Operation: 30-18=12
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 60:[5, 12], Operations: ['35/7=5', '30-18=12']
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,60 unequal: No Solution
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[30, 35, 7, 18], Operations: []
Exploring Operation: 35/7=5, Resulting Numbers: [30, 18, 5]
Generated Node #0,1: 60:[30, 18, 5] Operation: 35/7=5
Moving to Node #0,1
Current State: 60:[30, 18, 5], Operations: ['35/7=5']
Exploring Operation: 30-18=12, Resulting Numbers: [5, 12]
Generated Node #0,1,1: 60:[5, 12] Operation: 30-18=12
Moving to Node #0,1,1
Current State: 60:[5, 12], Operations: ['35/7=5', '30-18=12']
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
91,
70,
33,
23
] | 26 | [
"91+70=161",
"161/23=7",
"33-7=26"
] | Current State: 26:[91, 70, 33, 23], Operations: []
Exploring Operation: 91+70=161, Resulting Numbers: [33, 23, 161]
Generated Node #2: [33, 23, 161] from Operation: 91+70=161
Current State: 26:[33, 23, 161], Operations: ['91+70=161']
Exploring Operation: 161/23=7, Resulting Numbers: [33, 7]
Generated Node #3: [33, 7] from Operation: 161/23=7
Current State: 26:[33, 7], Operations: ['91+70=161', '161/23=7']
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[91, 70, 33, 23], Operations: []
Exploring Operation: 91-33=58, Resulting Numbers: [70, 23, 58]
Generated Node #0,0: 26:[70, 23, 58] Operation: 91-33=58
Exploring Operation: 70-33=37, Resulting Numbers: [91, 23, 37]
Generated Node #0,1: 26:[91, 23, 37] Operation: 70-33=37
Exploring Operation: 91-70=21, Resulting Numbers: [33, 23, 21]
Generated Node #0,2: 26:[33, 23, 21] Operation: 91-70=21
Moving to Node #0,2
Current State: 26:[33, 23, 21], Operations: ['91-70=21']
Exploring Operation: 33-21=12, Resulting Numbers: [23, 12]
Generated Node #0,2,0: 26:[23, 12] Operation: 33-21=12
Exploring Operation: 33-23=10, Resulting Numbers: [21, 10]
Generated Node #0,2,1: 26:[21, 10] Operation: 33-23=10
Exploring Operation: 23-21=2, Resulting Numbers: [33, 2]
Generated Node #0,2,2: 26:[33, 2] Operation: 23-21=2
Moving to Node #0,0
Current State: 26:[70, 23, 58], Operations: ['91-33=58']
Exploring Operation: 58-23=35, Resulting Numbers: [70, 35]
Generated Node #0,0,0: 26:[70, 35] Operation: 58-23=35
Exploring Operation: 70-23=47, Resulting Numbers: [58, 47]
Generated Node #0,0,1: 26:[58, 47] Operation: 70-23=47
Exploring Operation: 70-58=12, Resulting Numbers: [23, 12]
Generated Node #0,0,2: 26:[23, 12] Operation: 70-58=12
Moving to Node #0,1
Current State: 26:[91, 23, 37], Operations: ['70-33=37']
Exploring Operation: 37-23=14, Resulting Numbers: [91, 14]
Generated Node #0,1,0: 26:[91, 14] Operation: 37-23=14
Exploring Operation: 91-37=54, Resulting Numbers: [23, 54]
Generated Node #0,1,1: 26:[23, 54] Operation: 91-37=54
Exploring Operation: 91-23=68, Resulting Numbers: [37, 68]
Generated Node #0,1,2: 26:[37, 68] Operation: 91-23=68
Moving to Node #0,2,0
Current State: 26:[23, 12], Operations: ['91-70=21', '33-21=12']
Exploring Operation: 23*12=276, Resulting Numbers: [276]
276,26 unequal: No Solution
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,26 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Moving to Node #0,0,2
Current State: 26:[23, 12], Operations: ['91-33=58', '70-58=12']
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 23*12=276, Resulting Numbers: [276]
276,26 unequal: No Solution
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,26 unequal: No Solution
Moving to Node #0,2,2
Current State: 26:[33, 2], Operations: ['91-70=21', '23-21=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,26 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,26 unequal: No Solution
Moving to Node #0,2,1
Current State: 26:[21, 10], Operations: ['91-70=21', '33-23=10']
Exploring Operation: 21*10=210, Resulting Numbers: [210]
210,26 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Moving to Node #0,1,1
Current State: 26:[23, 54], Operations: ['70-33=37', '91-37=54']
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 23+54=77, Resulting Numbers: [77]
77,26 unequal: No Solution
Exploring Operation: 23*54=1242, Resulting Numbers: [1242]
1242,26 unequal: No Solution
Moving to Node #0,0,1
Current State: 26:[58, 47], Operations: ['91-33=58', '70-23=47']
Exploring Operation: 58*47=2726, Resulting Numbers: [2726]
2726,26 unequal: No Solution
Exploring Operation: 58+47=105, Resulting Numbers: [105]
105,26 unequal: No Solution
Exploring Operation: 58-47=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[70, 35], Operations: ['91-33=58', '58-23=35']
Exploring Operation: 70-35=35, Resulting Numbers: [35]
35,26 unequal: No Solution
Exploring Operation: 70/35=2, Resulting Numbers: [2]
2,26 unequal: No Solution
Exploring Operation: 70+35=105, Resulting Numbers: [105]
105,26 unequal: No Solution
Moving to Node #0,1,2
Current State: 26:[37, 68], Operations: ['70-33=37', '91-23=68']
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,26 unequal: No Solution
Exploring Operation: 37*68=2516, Resulting Numbers: [2516]
2516,26 unequal: No Solution
Exploring Operation: 37+68=105, Resulting Numbers: [105]
105,26 unequal: No Solution
Moving to Node #0,1,0
Current State: 26:[91, 14], Operations: ['70-33=37', '37-23=14']
Exploring Operation: 91*14=1274, Resulting Numbers: [1274]
1274,26 unequal: No Solution
Exploring Operation: 91+14=105, Resulting Numbers: [105]
105,26 unequal: No Solution
Exploring Operation: 91-14=77, Resulting Numbers: [77]
77,26 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
17,
99,
1,
25
] | 92 | [
"17+99=116",
"25-1=24",
"116-24=92"
] | Current State: 92:[17, 99, 1, 25], Operations: []
Exploring Operation: 17+99=116, Resulting Numbers: [1, 25, 116]
Generated Node #2: [1, 25, 116] from Operation: 17+99=116
Current State: 92:[1, 25, 116], Operations: ['17+99=116']
Exploring Operation: 25-1=24, Resulting Numbers: [116, 24]
Generated Node #3: [116, 24] from Operation: 25-1=24
Current State: 92:[116, 24], Operations: ['17+99=116', '25-1=24']
Exploring Operation: 116-24=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[17, 99, 1, 25], Operations: []
Exploring Operation: 17+25=42, Resulting Numbers: [99, 1, 42]
Generated Node #0,0: 92:[99, 1, 42] Operation: 17+25=42
Moving to Node #0,0
Current State: 92:[99, 1, 42], Operations: ['17+25=42']
Exploring Operation: 99-1=98, Resulting Numbers: [42, 98]
Generated Node #0,0,0: 92:[42, 98] Operation: 99-1=98
Moving to Node #0,0,0
Current State: 92:[42, 98], Operations: ['17+25=42', '99-1=98']
Exploring Operation: 98-42=56, Resulting Numbers: [56]
56,92 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
52,
56,
73,
44
] | 84 | [
"56-52=4",
"44/4=11",
"73+11=84"
] | Current State: 84:[52, 56, 73, 44], Operations: []
Exploring Operation: 56-52=4, Resulting Numbers: [73, 44, 4]
Generated Node #2: [73, 44, 4] from Operation: 56-52=4
Current State: 84:[73, 44, 4], Operations: ['56-52=4']
Exploring Operation: 44/4=11, Resulting Numbers: [73, 11]
Generated Node #3: [73, 11] from Operation: 44/4=11
Current State: 84:[73, 11], Operations: ['56-52=4', '44/4=11']
Exploring Operation: 73+11=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[52, 56, 73, 44], Operations: []
Exploring Operation: 56-52=4, Resulting Numbers: [73, 44, 4]
Generated Node #0,0: 84:[73, 44, 4] Operation: 56-52=4
Exploring Operation: 73-56=17, Resulting Numbers: [52, 44, 17]
Generated Node #0,1: 84:[52, 44, 17] Operation: 73-56=17
Exploring Operation: 73-52=21, Resulting Numbers: [56, 44, 21]
Generated Node #0,2: 84:[56, 44, 21] Operation: 73-52=21
Moving to Node #0,0
Current State: 84:[73, 44, 4], Operations: ['56-52=4']
Exploring Operation: 73+4=77, Resulting Numbers: [44, 77]
Generated Node #0,0,0: 84:[44, 77] Operation: 73+4=77
Exploring Operation: 73-44=29, Resulting Numbers: [4, 29]
Generated Node #0,0,1: 84:[4, 29] Operation: 73-44=29
Exploring Operation: 44/4=11, Resulting Numbers: [73, 11]
Generated Node #0,0,2: 84:[73, 11] Operation: 44/4=11
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 84:[4, 29], Operations: ['56-52=4', '73-44=29']
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,84 unequal: No Solution
Exploring Operation: 4*29=116, Resulting Numbers: [116]
116,84 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 84:[44, 77], Operations: ['56-52=4', '73+4=77']
Exploring Operation: 77-44=33, Resulting Numbers: [33]
33,84 unequal: No Solution
Exploring Operation: 44+77=121, Resulting Numbers: [121]
121,84 unequal: No Solution
Exploring Operation: 44*77=3388, Resulting Numbers: [3388]
3388,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 84:[73, 11], Operations: ['56-52=4', '44/4=11']
Exploring Operation: 73*11=803, Resulting Numbers: [803]
803,84 unequal: No Solution
Exploring Operation: 73+11=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[52, 56, 73, 44], Operations: []
Exploring Operation: 56-52=4, Resulting Numbers: [73, 44, 4]
Generated Node #0,0: 84:[73, 44, 4] Operation: 56-52=4
Moving to Node #0,0
Current State: 84:[73, 44, 4], Operations: ['56-52=4']
Exploring Operation: 44/4=11, Resulting Numbers: [73, 11]
Generated Node #0,0,2: 84:[73, 11] Operation: 44/4=11
Moving to Node #0,0,2
Current State: 84:[73, 11], Operations: ['56-52=4', '44/4=11']
Exploring Operation: 73+11=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
12,
60,
38,
58
] | 92 | [
"12+60=72",
"58-38=20",
"72+20=92"
] | Current State: 92:[12, 60, 38, 58], Operations: []
Exploring Operation: 12+60=72, Resulting Numbers: [38, 58, 72]
Generated Node #2: [38, 58, 72] from Operation: 12+60=72
Current State: 92:[38, 58, 72], Operations: ['12+60=72']
Exploring Operation: 58-38=20, Resulting Numbers: [72, 20]
Generated Node #3: [72, 20] from Operation: 58-38=20
Current State: 92:[72, 20], Operations: ['12+60=72', '58-38=20']
Exploring Operation: 72+20=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[12, 60, 38, 58], Operations: []
Exploring Operation: 60/12=5, Resulting Numbers: [38, 58, 5]
Generated Node #0,0: 92:[38, 58, 5] Operation: 60/12=5
Exploring Operation: 58-12=46, Resulting Numbers: [60, 38, 46]
Generated Node #0,1: 92:[60, 38, 46] Operation: 58-12=46
Exploring Operation: 60-12=48, Resulting Numbers: [38, 58, 48]
Generated Node #0,2: 92:[38, 58, 48] Operation: 60-12=48
Exploring Operation: 60-38=22, Resulting Numbers: [12, 58, 22]
Generated Node #0,3: 92:[12, 58, 22] Operation: 60-38=22
Exploring Operation: 60-58=2, Resulting Numbers: [12, 38, 2]
Generated Node #0,4: 92:[12, 38, 2] Operation: 60-58=2
Moving to Node #0,4
Current State: 92:[12, 38, 2], Operations: ['60-58=2']
Exploring Operation: 12/2=6, Resulting Numbers: [38, 6]
Generated Node #0,4,0: 92:[38, 6] Operation: 12/2=6
Exploring Operation: 12*2=24, Resulting Numbers: [38, 24]
Generated Node #0,4,1: 92:[38, 24] Operation: 12*2=24
Exploring Operation: 38-12=26, Resulting Numbers: [2, 26]
Generated Node #0,4,2: 92:[2, 26] Operation: 38-12=26
Exploring Operation: 12+38=50, Resulting Numbers: [2, 50]
Generated Node #0,4,3: 92:[2, 50] Operation: 12+38=50
Exploring Operation: 38/2=19, Resulting Numbers: [12, 19]
Generated Node #0,4,4: 92:[12, 19] Operation: 38/2=19
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 92:[2, 26], Operations: ['60-58=2', '38-12=26']
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,92 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,92 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,92 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,92 unequal: No Solution
No 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: 92:[2, 50], Operations: ['60-58=2', '12+38=50']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,92 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,92 unequal: No Solution
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,92 unequal: No Solution
No 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: 92:[38, 24], Operations: ['60-58=2', '12*2=24']
Exploring Operation: 38*24=912, Resulting Numbers: [912]
912,92 unequal: No Solution
Exploring Operation: 38+24=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,92 unequal: No Solution
No 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: 92:[38, 6], Operations: ['60-58=2', '12/2=6']
Exploring Operation: 38*6=228, Resulting Numbers: [228]
228,92 unequal: No Solution
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,92 unequal: No Solution
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,92 unequal: No Solution
No 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: 92:[12, 19], Operations: ['60-58=2', '38/2=19']
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,92 unequal: No Solution
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,92 unequal: No Solution
Exploring Operation: 12*19=228, Resulting Numbers: [228]
228,92 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: 92:[12, 58, 22], Operations: ['60-38=22']
Exploring Operation: 22-12=10, Resulting Numbers: [58, 10]
Generated Node #0,3,0: 92:[58, 10] Operation: 22-12=10
Exploring Operation: 58+22=80, Resulting Numbers: [12, 80]
Generated Node #0,3,1: 92:[12, 80] Operation: 58+22=80
Exploring Operation: 58-12=46, Resulting Numbers: [22, 46]
Generated Node #0,3,2: 92:[22, 46] Operation: 58-12=46
Exploring Operation: 12+58=70, Resulting Numbers: [22, 70]
Generated Node #0,3,3: 92:[22, 70] Operation: 12+58=70
Exploring Operation: 58-22=36, Resulting Numbers: [12, 36]
Generated Node #0,3,4: 92:[12, 36] Operation: 58-22=36
Moving to Node #0,0
Current State: 92:[38, 58, 5], Operations: ['60/12=5']
Exploring Operation: 38+58=96, Resulting Numbers: [5, 96]
Generated Node #0,0,0: 92:[5, 96] Operation: 38+58=96
Exploring Operation: 58-5=53, Resulting Numbers: [38, 53]
Generated Node #0,0,1: 92:[38, 53] Operation: 58-5=53
Exploring Operation: 38-5=33, Resulting Numbers: [58, 33]
Generated Node #0,0,2: 92:[58, 33] Operation: 38-5=33
Exploring Operation: 38+5=43, Resulting Numbers: [58, 43]
Generated Node #0,0,3: 92:[58, 43] Operation: 38+5=43
Exploring Operation: 58-38=20, Resulting Numbers: [5, 20]
Generated Node #0,0,4: 92:[5, 20] Operation: 58-38=20
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 92:[5, 20], Operations: ['60/12=5', '58-38=20']
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,92 unequal: No Solution
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,92 unequal: No Solution
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,92 unequal: No Solution
No 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: 92:[5, 96], Operations: ['60/12=5', '38+58=96']
Exploring Operation: 96-5=91, Resulting Numbers: [91]
91,92 unequal: No Solution
Exploring Operation: 5*96=480, Resulting Numbers: [480]
480,92 unequal: No Solution
Exploring Operation: 5+96=101, Resulting Numbers: [101]
101,92 unequal: No Solution
No 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: 92:[38, 53], Operations: ['60/12=5', '58-5=53']
Exploring Operation: 38*53=2014, Resulting Numbers: [2014]
2014,92 unequal: No Solution
Exploring Operation: 53-38=15, Resulting Numbers: [15]
15,92 unequal: No Solution
Exploring Operation: 38+53=91, Resulting Numbers: [91]
91,92 unequal: No Solution
No 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: 92:[58, 43], Operations: ['60/12=5', '38+5=43']
Exploring Operation: 58+43=101, Resulting Numbers: [101]
101,92 unequal: No Solution
Exploring Operation: 58-43=15, Resulting Numbers: [15]
15,92 unequal: No Solution
Exploring Operation: 58*43=2494, Resulting Numbers: [2494]
2494,92 unequal: No Solution
No 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: 92:[58, 33], Operations: ['60/12=5', '38-5=33']
Exploring Operation: 58-33=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Exploring Operation: 58*33=1914, Resulting Numbers: [1914]
1914,92 unequal: No Solution
Exploring Operation: 58+33=91, Resulting Numbers: [91]
91,92 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: 92:[60, 38, 46], Operations: ['58-12=46']
Exploring Operation: 46-38=8, Resulting Numbers: [60, 8]
Generated Node #0,1,0: 92:[60, 8] Operation: 46-38=8
Exploring Operation: 60+46=106, Resulting Numbers: [38, 106]
Generated Node #0,1,1: 92:[38, 106] Operation: 60+46=106
Exploring Operation: 60-46=14, Resulting Numbers: [38, 14]
Generated Node #0,1,2: 92:[38, 14] Operation: 60-46=14
Exploring Operation: 60+38=98, Resulting Numbers: [46, 98]
Generated Node #0,1,3: 92:[46, 98] Operation: 60+38=98
Exploring Operation: 60-38=22, Resulting Numbers: [46, 22]
Generated Node #0,1,4: 92:[46, 22] Operation: 60-38=22
Moving to Node #0,2
Current State: 92:[38, 58, 48], Operations: ['60-12=48']
Exploring Operation: 48-38=10, Resulting Numbers: [58, 10]
Generated Node #0,2,0: 92:[58, 10] Operation: 48-38=10
Exploring Operation: 38+58=96, Resulting Numbers: [48, 96]
Generated Node #0,2,1: 92:[48, 96] Operation: 38+58=96
Exploring Operation: 58-38=20, Resulting Numbers: [48, 20]
Generated Node #0,2,2: 92:[48, 20] Operation: 58-38=20
Exploring Operation: 58-48=10, Resulting Numbers: [38, 10]
Generated Node #0,2,3: 92:[38, 10] Operation: 58-48=10
Exploring Operation: 38+48=86, Resulting Numbers: [58, 86]
Generated Node #0,2,4: 92:[58, 86] Operation: 38+48=86
Moving to Node #0,3,2
Current State: 92:[22, 46], Operations: ['60-38=22', '58-12=46']
Exploring Operation: 46-22=24, Resulting Numbers: [24]
24,92 unequal: No Solution
Exploring Operation: 22+46=68, Resulting Numbers: [68]
68,92 unequal: No Solution
Exploring Operation: 22*46=1012, Resulting Numbers: [1012]
1012,92 unequal: No Solution
Moving to Node #0,1,4
Current State: 92:[46, 22], Operations: ['58-12=46', '60-38=22']
Exploring Operation: 46*22=1012, Resulting Numbers: [1012]
1012,92 unequal: No Solution
Exploring Operation: 46-22=24, Resulting Numbers: [24]
24,92 unequal: No Solution
Exploring Operation: 46+22=68, Resulting Numbers: [68]
68,92 unequal: No Solution
Moving to Node #0,2,2
Current State: 92:[48, 20], Operations: ['60-12=48', '58-38=20']
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,92 unequal: No Solution
Exploring Operation: 48+20=68, Resulting Numbers: [68]
68,92 unequal: No Solution
Exploring Operation: 48*20=960, Resulting Numbers: [960]
960,92 unequal: No Solution
Moving to Node #0,1,3
Current State: 92:[46, 98], Operations: ['58-12=46', '60+38=98']
Exploring Operation: 98-46=52, Resulting Numbers: [52]
52,92 unequal: No Solution
Exploring Operation: 46*98=4508, Resulting Numbers: [4508]
4508,92 unequal: No Solution
Exploring Operation: 46+98=144, Resulting Numbers: [144]
144,92 unequal: No Solution
Moving to Node #0,2,1
Current State: 92:[48, 96], Operations: ['60-12=48', '38+58=96']
Exploring Operation: 48+96=144, Resulting Numbers: [144]
144,92 unequal: No Solution
Exploring Operation: 48*96=4608, Resulting Numbers: [4608]
4608,92 unequal: No Solution
Exploring Operation: 96/48=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 96-48=48, Resulting Numbers: [48]
48,92 unequal: No Solution
Moving to Node #0,2,3
Current State: 92:[38, 10], Operations: ['60-12=48', '58-48=10']
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,92 unequal: No Solution
Exploring Operation: 38+10=48, Resulting Numbers: [48]
48,92 unequal: No Solution
Exploring Operation: 38*10=380, Resulting Numbers: [380]
380,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[38, 14], Operations: ['58-12=46', '60-46=14']
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,92 unequal: No Solution
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,92 unequal: No Solution
Exploring Operation: 38*14=532, Resulting Numbers: [532]
532,92 unequal: No Solution
Moving to Node #0,2,0
Current State: 92:[58, 10], Operations: ['60-12=48', '48-38=10']
Exploring Operation: 58*10=580, Resulting Numbers: [580]
580,92 unequal: No Solution
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,92 unequal: No Solution
Exploring Operation: 58+10=68, Resulting Numbers: [68]
68,92 unequal: No Solution
Moving to Node #0,3,4
Current State: 92:[12, 36], Operations: ['60-38=22', '58-22=36']
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,92 unequal: No Solution
Exploring Operation: 12*36=432, Resulting Numbers: [432]
432,92 unequal: No Solution
Exploring Operation: 12+36=48, Resulting Numbers: [48]
48,92 unequal: No Solution
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[60, 8], Operations: ['58-12=46', '46-38=8']
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,92 unequal: No Solution
Exploring Operation: 60*8=480, Resulting Numbers: [480]
480,92 unequal: No Solution
Exploring Operation: 60+8=68, Resulting Numbers: [68]
68,92 unequal: No Solution
Moving to Node #0,2,4
Current State: 92:[58, 86], Operations: ['60-12=48', '38+48=86']
Exploring Operation: 58*86=4988, Resulting Numbers: [4988]
4988,92 unequal: No Solution
Exploring Operation: 86-58=28, Resulting Numbers: [28]
28,92 unequal: No Solution
Exploring Operation: 58+86=144, Resulting Numbers: [144]
144,92 unequal: No Solution
Moving to Node #0,3,0
Current State: 92:[58, 10], Operations: ['60-38=22', '22-12=10']
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,92 unequal: No Solution
Exploring Operation: 58+10=68, Resulting Numbers: [68]
68,92 unequal: No Solution
Exploring Operation: 58*10=580, Resulting Numbers: [580]
580,92 unequal: No Solution
Moving to Node #0,3,1
Current State: 92:[12, 80], Operations: ['60-38=22', '58+22=80']
Exploring Operation: 12*80=960, Resulting Numbers: [960]
960,92 unequal: No Solution
Exploring Operation: 80-12=68, Resulting Numbers: [68]
68,92 unequal: No Solution
Exploring Operation: 12+80=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[12, 60, 38, 58], Operations: []
Exploring Operation: 60-38=22, Resulting Numbers: [12, 58, 22]
Generated Node #0,3: 92:[12, 58, 22] Operation: 60-38=22
Moving to Node #0,3
Current State: 92:[12, 58, 22], Operations: ['60-38=22']
Exploring Operation: 58+22=80, Resulting Numbers: [12, 80]
Generated Node #0,3,1: 92:[12, 80] Operation: 58+22=80
Moving to Node #0,3,1
Current State: 92:[12, 80], Operations: ['60-38=22', '58+22=80']
Exploring Operation: 12+80=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 0.90625 | hs_5 | mult_heuristic |
[
54,
34,
85,
69
] | 23 | [
"54+34=88",
"88-85=3",
"69/3=23"
] | Current State: 23:[54, 34, 85, 69], Operations: []
Exploring Operation: 54+34=88, Resulting Numbers: [85, 69, 88]
Generated Node #2: [85, 69, 88] from Operation: 54+34=88
Current State: 23:[85, 69, 88], Operations: ['54+34=88']
Exploring Operation: 88-85=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 88-85=3
Current State: 23:[69, 3], Operations: ['54+34=88', '88-85=3']
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[54, 34, 85, 69], Operations: []
Exploring Operation: 85-54=31, Resulting Numbers: [34, 69, 31]
Generated Node #0,0: 23:[34, 69, 31] Operation: 85-54=31
Exploring Operation: 85-34=51, Resulting Numbers: [54, 69, 51]
Generated Node #0,1: 23:[54, 69, 51] Operation: 85-34=51
Exploring Operation: 69-54=15, Resulting Numbers: [34, 85, 15]
Generated Node #0,2: 23:[34, 85, 15] Operation: 69-54=15
Exploring Operation: 85-69=16, Resulting Numbers: [54, 34, 16]
Generated Node #0,3: 23:[54, 34, 16] Operation: 85-69=16
Exploring Operation: 69-34=35, Resulting Numbers: [54, 85, 35]
Generated Node #0,4: 23:[54, 85, 35] Operation: 69-34=35
Start Sub Search at level 1: Moving to Node #0,3
Current State: 23:[54, 34, 16], Operations: ['85-69=16']
Exploring Operation: 34+16=50, Resulting Numbers: [54, 50]
Generated Node #0,3,0: 23:[54, 50] Operation: 34+16=50
Exploring Operation: 54-34=20, Resulting Numbers: [16, 20]
Generated Node #0,3,1: 23:[16, 20] Operation: 54-34=20
Exploring Operation: 54-16=38, Resulting Numbers: [34, 38]
Generated Node #0,3,2: 23:[34, 38] Operation: 54-16=38
Exploring Operation: 34-16=18, Resulting Numbers: [54, 18]
Generated Node #0,3,3: 23:[54, 18] Operation: 34-16=18
Exploring Operation: 54+16=70, Resulting Numbers: [34, 70]
Generated Node #0,3,4: 23:[34, 70] Operation: 54+16=70
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 23:[16, 20], Operations: ['85-69=16', '54-34=20']
Exploring Operation: 16+20=36, Resulting Numbers: [36]
36,23 unequal: No Solution
Exploring Operation: 16*20=320, Resulting Numbers: [320]
320,23 unequal: No Solution
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,23 unequal: No Solution
No 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: 23:[34, 38], Operations: ['85-69=16', '54-16=38']
Exploring Operation: 38-34=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Exploring Operation: 34*38=1292, Resulting Numbers: [1292]
1292,23 unequal: No Solution
Exploring Operation: 34+38=72, Resulting Numbers: [72]
72,23 unequal: No Solution
No 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: 23:[54, 18], Operations: ['85-69=16', '34-16=18']
Exploring Operation: 54+18=72, Resulting Numbers: [72]
72,23 unequal: No Solution
Exploring Operation: 54/18=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,23 unequal: No Solution
Exploring Operation: 54*18=972, Resulting Numbers: [972]
972,23 unequal: No Solution
No 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: 23:[54, 50], Operations: ['85-69=16', '34+16=50']
Exploring Operation: 54*50=2700, Resulting Numbers: [2700]
2700,23 unequal: No Solution
Exploring Operation: 54+50=104, Resulting Numbers: [104]
104,23 unequal: No Solution
Exploring Operation: 54-50=4, Resulting Numbers: [4]
4,23 unequal: No Solution
No 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: 23:[34, 70], Operations: ['85-69=16', '54+16=70']
Exploring Operation: 34+70=104, Resulting Numbers: [104]
104,23 unequal: No Solution
Exploring Operation: 34*70=2380, Resulting Numbers: [2380]
2380,23 unequal: No Solution
Exploring Operation: 70-34=36, Resulting Numbers: [36]
36,23 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: 23:[34, 69, 31], Operations: ['85-54=31']
Exploring Operation: 69-31=38, Resulting Numbers: [34, 38]
Generated Node #0,0,0: 23:[34, 38] Operation: 69-31=38
Exploring Operation: 34-31=3, Resulting Numbers: [69, 3]
Generated Node #0,0,1: 23:[69, 3] Operation: 34-31=3
Exploring Operation: 69-34=35, Resulting Numbers: [31, 35]
Generated Node #0,0,2: 23:[31, 35] Operation: 69-34=35
Exploring Operation: 34+69=103, Resulting Numbers: [31, 103]
Generated Node #0,0,3: 23:[31, 103] Operation: 34+69=103
Exploring Operation: 34+31=65, Resulting Numbers: [69, 65]
Generated Node #0,0,4: 23:[69, 65] Operation: 34+31=65
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 23:[31, 35], Operations: ['85-54=31', '69-34=35']
Exploring Operation: 31*35=1085, Resulting Numbers: [1085]
1085,23 unequal: No Solution
Exploring Operation: 31+35=66, Resulting Numbers: [66]
66,23 unequal: No Solution
Exploring Operation: 35-31=4, Resulting Numbers: [4]
4,23 unequal: No Solution
No 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: 23:[34, 38], Operations: ['85-54=31', '69-31=38']
Exploring Operation: 38-34=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Exploring Operation: 34+38=72, Resulting Numbers: [72]
72,23 unequal: No Solution
Exploring Operation: 34*38=1292, Resulting Numbers: [1292]
1292,23 unequal: No Solution
No 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: 23:[69, 3], Operations: ['85-54=31', '34-31=3']
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[54, 34, 85, 69], Operations: []
Exploring Operation: 85-54=31, Resulting Numbers: [34, 69, 31]
Generated Node #0,0: 23:[34, 69, 31] Operation: 85-54=31
Moving to Node #0,0
Current State: 23:[34, 69, 31], Operations: ['85-54=31']
Exploring Operation: 34-31=3, Resulting Numbers: [69, 3]
Generated Node #0,0,1: 23:[69, 3] Operation: 34-31=3
Moving to Node #0,0,1
Current State: 23:[69, 3], Operations: ['85-54=31', '34-31=3']
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.963542 | hs_5 | sum_heuristic |
[
33,
96,
78,
6
] | 50 | [
"96-33=63",
"78/6=13",
"63-13=50"
] | Current State: 50:[33, 96, 78, 6], Operations: []
Exploring Operation: 96-33=63, Resulting Numbers: [78, 6, 63]
Generated Node #2: [78, 6, 63] from Operation: 96-33=63
Current State: 50:[78, 6, 63], Operations: ['96-33=63']
Exploring Operation: 78/6=13, Resulting Numbers: [63, 13]
Generated Node #3: [63, 13] from Operation: 78/6=13
Current State: 50:[63, 13], Operations: ['96-33=63', '78/6=13']
Exploring Operation: 63-13=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[33, 96, 78, 6], Operations: []
Exploring Operation: 96-78=18, Resulting Numbers: [33, 6, 18]
Generated Node #0,0: 50:[33, 6, 18] Operation: 96-78=18
Exploring Operation: 96/6=16, Resulting Numbers: [33, 78, 16]
Generated Node #0,1: 50:[33, 78, 16] Operation: 96/6=16
Exploring Operation: 96-33=63, Resulting Numbers: [78, 6, 63]
Generated Node #0,2: 50:[78, 6, 63] Operation: 96-33=63
Moving to Node #0,0
Current State: 50:[33, 6, 18], Operations: ['96-78=18']
Exploring Operation: 33-6=27, Resulting Numbers: [18, 27]
Generated Node #0,0,0: 50:[18, 27] Operation: 33-6=27
Exploring Operation: 33+18=51, Resulting Numbers: [6, 51]
Generated Node #0,0,1: 50:[6, 51] Operation: 33+18=51
Exploring Operation: 33-18=15, Resulting Numbers: [6, 15]
Generated Node #0,0,2: 50:[6, 15] Operation: 33-18=15
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 50:[6, 51], Operations: ['96-78=18', '33+18=51']
Exploring Operation: 6+51=57, Resulting Numbers: [57]
57,50 unequal: No Solution
Exploring Operation: 6*51=306, Resulting Numbers: [306]
306,50 unequal: No Solution
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,50 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 #0,0,2
Current State: 50:[6, 15], Operations: ['96-78=18', '33-18=15']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,50 unequal: No Solution
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[18, 27], Operations: ['96-78=18', '33-6=27']
Exploring Operation: 18*27=486, Resulting Numbers: [486]
486,50 unequal: No Solution
Exploring Operation: 27-18=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 18+27=45, Resulting Numbers: [45]
45,50 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: 50:[33, 78, 16], Operations: ['96/6=16']
Exploring Operation: 78-16=62, Resulting Numbers: [33, 62]
Generated Node #0,1,0: 50:[33, 62] Operation: 78-16=62
Exploring Operation: 33+16=49, Resulting Numbers: [78, 49]
Generated Node #0,1,1: 50:[78, 49] Operation: 33+16=49
Exploring Operation: 78-33=45, Resulting Numbers: [16, 45]
Generated Node #0,1,2: 50:[16, 45] Operation: 78-33=45
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 50:[16, 45], Operations: ['96/6=16', '78-33=45']
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,50 unequal: No Solution
Exploring Operation: 16*45=720, Resulting Numbers: [720]
720,50 unequal: No Solution
Exploring Operation: 16+45=61, Resulting Numbers: [61]
61,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 50:[33, 62], Operations: ['96/6=16', '78-16=62']
Exploring Operation: 33*62=2046, Resulting Numbers: [2046]
2046,50 unequal: No Solution
Exploring Operation: 62-33=29, Resulting Numbers: [29]
29,50 unequal: No Solution
Exploring Operation: 33+62=95, Resulting Numbers: [95]
95,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 50:[78, 49], Operations: ['96/6=16', '33+16=49']
Exploring Operation: 78-49=29, Resulting Numbers: [29]
29,50 unequal: No Solution
Exploring Operation: 78*49=3822, Resulting Numbers: [3822]
3822,50 unequal: No Solution
Exploring Operation: 78+49=127, Resulting Numbers: [127]
127,50 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: 50:[78, 6, 63], Operations: ['96-33=63']
Exploring Operation: 78-6=72, Resulting Numbers: [63, 72]
Generated Node #0,2,0: 50:[63, 72] Operation: 78-6=72
Exploring Operation: 78/6=13, Resulting Numbers: [63, 13]
Generated Node #0,2,1: 50:[63, 13] Operation: 78/6=13
Exploring Operation: 78-63=15, Resulting Numbers: [6, 15]
Generated Node #0,2,2: 50:[6, 15] Operation: 78-63=15
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 50:[6, 15], Operations: ['96-33=63', '78-63=15']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,50 unequal: No Solution
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 50:[63, 13], Operations: ['96-33=63', '78/6=13']
Exploring Operation: 63+13=76, Resulting Numbers: [76]
76,50 unequal: No Solution
Exploring Operation: 63*13=819, Resulting Numbers: [819]
819,50 unequal: No Solution
Exploring Operation: 63-13=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[33, 96, 78, 6], Operations: []
Exploring Operation: 96-33=63, Resulting Numbers: [78, 6, 63]
Generated Node #0,2: 50:[78, 6, 63] Operation: 96-33=63
Moving to Node #0,2
Current State: 50:[78, 6, 63], Operations: ['96-33=63']
Exploring Operation: 78/6=13, Resulting Numbers: [63, 13]
Generated Node #0,2,1: 50:[63, 13] Operation: 78/6=13
Moving to Node #0,2,1
Current State: 50:[63, 13], Operations: ['96-33=63', '78/6=13']
Exploring Operation: 63-13=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_3 | mult_heuristic |
[
58,
8,
66,
61
] | 61 | [
"58+8=66",
"66+61=127",
"127-66=61"
] | Current State: 61:[58, 8, 66, 61], Operations: []
Exploring Operation: 58+8=66, Resulting Numbers: [66, 61, 66]
Generated Node #2: [66, 61, 66] from Operation: 58+8=66
Current State: 61:[66, 61, 66], Operations: ['58+8=66']
Exploring Operation: 66+61=127, Resulting Numbers: [127]
127,61 equal: Goal Reached
Exploring Operation: 127-66=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[58, 8, 66, 61], Operations: []
Exploring Operation: 58+8=66, Resulting Numbers: [66, 61, 66]
Generated Node #0,0: 61:[66, 61, 66] Operation: 58+8=66
Exploring Operation: 66-8=58, Resulting Numbers: [58, 61, 58]
Generated Node #0,1: 61:[58, 61, 58] Operation: 66-8=58
Exploring Operation: 58-8=50, Resulting Numbers: [66, 61, 50]
Generated Node #0,2: 61:[66, 61, 50] Operation: 58-8=50
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[58, 61, 58], Operations: ['66-8=58']
Exploring Operation: 58+61=119, Resulting Numbers: [58, 119]
Generated Node #0,1,0: 61:[58, 119] Operation: 58+61=119
Exploring Operation: 58/58=1, Resulting Numbers: [61, 1]
Generated Node #0,1,1: 61:[61, 1] Operation: 58/58=1
Exploring Operation: 58+58=116, Resulting Numbers: [61, 116]
Generated Node #0,1,2: 61:[61, 116] Operation: 58+58=116
Moving to Node #0,1,2
Current State: 61:[61, 116], Operations: ['66-8=58', '58+58=116']
Exploring Operation: 61+116=177, Resulting Numbers: [177]
177,61 unequal: No Solution
Exploring Operation: 61*116=7076, Resulting Numbers: [7076]
7076,61 unequal: No Solution
Exploring Operation: 116-61=55, Resulting Numbers: [55]
55,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[61, 1], Operations: ['66-8=58', '58/58=1']
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[58, 8, 66, 61], Operations: []
Exploring Operation: 66-8=58, Resulting Numbers: [58, 61, 58]
Generated Node #0,1: 61:[58, 61, 58] Operation: 66-8=58
Moving to Node #0,1
Current State: 61:[58, 61, 58], Operations: ['66-8=58']
Exploring Operation: 58/58=1, Resulting Numbers: [61, 1]
Generated Node #0,1,1: 61:[61, 1] Operation: 58/58=1
Moving to Node #0,1,1
Current State: 61:[61, 1], Operations: ['66-8=58', '58/58=1']
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
5,
19,
91,
70
] | 92 | [
"19+91=110",
"110/5=22",
"70+22=92"
] | Current State: 92:[5, 19, 91, 70], Operations: []
Exploring Operation: 19+91=110, Resulting Numbers: [5, 70, 110]
Generated Node #2: [5, 70, 110] from Operation: 19+91=110
Current State: 92:[5, 70, 110], Operations: ['19+91=110']
Exploring Operation: 110/5=22, Resulting Numbers: [70, 22]
Generated Node #3: [70, 22] from Operation: 110/5=22
Current State: 92:[70, 22], Operations: ['19+91=110', '110/5=22']
Exploring Operation: 70+22=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[5, 19, 91, 70], Operations: []
Exploring Operation: 19+70=89, Resulting Numbers: [5, 91, 89]
Generated Node #0,0: 92:[5, 91, 89] Operation: 19+70=89
Exploring Operation: 70-19=51, Resulting Numbers: [5, 91, 51]
Generated Node #0,1: 92:[5, 91, 51] Operation: 70-19=51
Moving to Node #0,0
Current State: 92:[5, 91, 89], Operations: ['19+70=89']
Exploring Operation: 91-89=2, Resulting Numbers: [5, 2]
Generated Node #0,0,0: 92:[5, 2] Operation: 91-89=2
Exploring Operation: 5+89=94, Resulting Numbers: [91, 94]
Generated Node #0,0,1: 92:[91, 94] Operation: 5+89=94
Moving to Node #0,1
Current State: 92:[5, 91, 51], Operations: ['70-19=51']
Exploring Operation: 51-5=46, Resulting Numbers: [91, 46]
Generated Node #0,1,0: 92:[91, 46] Operation: 51-5=46
Exploring Operation: 91-51=40, Resulting Numbers: [5, 40]
Generated Node #0,1,1: 92:[5, 40] Operation: 91-51=40
Moving to Node #0,0,0
Current State: 92:[5, 2], Operations: ['19+70=89', '91-89=2']
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,92 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[91, 46], Operations: ['70-19=51', '51-5=46']
Exploring Operation: 91+46=137, Resulting Numbers: [137]
137,92 unequal: No Solution
Exploring Operation: 91-46=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[91, 94], Operations: ['19+70=89', '5+89=94']
Exploring Operation: 91+94=185, Resulting Numbers: [185]
185,92 unequal: No Solution
Exploring Operation: 94-91=3, Resulting Numbers: [3]
3,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[5, 40], Operations: ['70-19=51', '91-51=40']
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,92 unequal: No Solution
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,92 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
81,
15,
8,
36
] | 24 | [
"81+15=96",
"96/8=12",
"36-12=24"
] | Current State: 24:[81, 15, 8, 36], Operations: []
Exploring Operation: 81+15=96, Resulting Numbers: [8, 36, 96]
Generated Node #2: [8, 36, 96] from Operation: 81+15=96
Current State: 24:[8, 36, 96], Operations: ['81+15=96']
Exploring Operation: 96/8=12, Resulting Numbers: [36, 12]
Generated Node #3: [36, 12] from Operation: 96/8=12
Current State: 24:[36, 12], Operations: ['81+15=96', '96/8=12']
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[81, 15, 8, 36], Operations: []
Exploring Operation: 81-36=45, Resulting Numbers: [15, 8, 45]
Generated Node #0,0: 24:[15, 8, 45] Operation: 81-36=45
Exploring Operation: 81-15=66, Resulting Numbers: [8, 36, 66]
Generated Node #0,1: 24:[8, 36, 66] Operation: 81-15=66
Exploring Operation: 36-15=21, Resulting Numbers: [81, 8, 21]
Generated Node #0,2: 24:[81, 8, 21] Operation: 36-15=21
Exploring Operation: 81-8=73, Resulting Numbers: [15, 36, 73]
Generated Node #0,3: 24:[15, 36, 73] Operation: 81-8=73
Moving to Node #0,0
Current State: 24:[15, 8, 45], Operations: ['81-36=45']
Exploring Operation: 45/15=3, Resulting Numbers: [8, 3]
Generated Node #0,0,0: 24:[8, 3] Operation: 45/15=3
Exploring Operation: 15+8=23, Resulting Numbers: [45, 23]
Generated Node #0,0,1: 24:[45, 23] Operation: 15+8=23
Exploring Operation: 45-15=30, Resulting Numbers: [8, 30]
Generated Node #0,0,2: 24:[8, 30] Operation: 45-15=30
Exploring Operation: 45-8=37, Resulting Numbers: [15, 37]
Generated Node #0,0,3: 24:[15, 37] Operation: 45-8=37
Moving to Node #0,1
Current State: 24:[8, 36, 66], Operations: ['81-15=66']
Exploring Operation: 66-36=30, Resulting Numbers: [8, 30]
Generated Node #0,1,0: 24:[8, 30] Operation: 66-36=30
Exploring Operation: 36-8=28, Resulting Numbers: [66, 28]
Generated Node #0,1,1: 24:[66, 28] Operation: 36-8=28
Exploring Operation: 8+36=44, Resulting Numbers: [66, 44]
Generated Node #0,1,2: 24:[66, 44] Operation: 8+36=44
Exploring Operation: 66-8=58, Resulting Numbers: [36, 58]
Generated Node #0,1,3: 24:[36, 58] Operation: 66-8=58
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 24:[8, 30], Operations: ['81-15=66', '66-36=30']
Exploring Operation: 8*30=240, Resulting Numbers: [240]
240,24 unequal: No Solution
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Exploring Operation: 8+30=38, Resulting Numbers: [38]
38,24 unequal: No Solution
No 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: 24:[66, 28], Operations: ['81-15=66', '36-8=28']
Exploring Operation: 66+28=94, Resulting Numbers: [94]
94,24 unequal: No Solution
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,24 unequal: No Solution
Exploring Operation: 66*28=1848, Resulting Numbers: [1848]
1848,24 unequal: No Solution
No 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: 24:[36, 58], Operations: ['81-15=66', '66-8=58']
Exploring Operation: 36*58=2088, Resulting Numbers: [2088]
2088,24 unequal: No Solution
Exploring Operation: 36+58=94, Resulting Numbers: [94]
94,24 unequal: No Solution
Exploring Operation: 58-36=22, Resulting Numbers: [22]
22,24 unequal: No Solution
No 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: 24:[66, 44], Operations: ['81-15=66', '8+36=44']
Exploring Operation: 66-44=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Exploring Operation: 66+44=110, Resulting Numbers: [110]
110,24 unequal: No Solution
Exploring Operation: 66*44=2904, Resulting Numbers: [2904]
2904,24 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: 24:[81, 8, 21], Operations: ['36-15=21']
Exploring Operation: 81-8=73, Resulting Numbers: [21, 73]
Generated Node #0,2,0: 24:[21, 73] Operation: 81-8=73
Exploring Operation: 81-21=60, Resulting Numbers: [8, 60]
Generated Node #0,2,1: 24:[8, 60] Operation: 81-21=60
Exploring Operation: 21-8=13, Resulting Numbers: [81, 13]
Generated Node #0,2,2: 24:[81, 13] Operation: 21-8=13
Exploring Operation: 8+21=29, Resulting Numbers: [81, 29]
Generated Node #0,2,3: 24:[81, 29] Operation: 8+21=29
Moving to Node #0,3
Current State: 24:[15, 36, 73], Operations: ['81-8=73']
Exploring Operation: 15+36=51, Resulting Numbers: [73, 51]
Generated Node #0,3,0: 24:[73, 51] Operation: 15+36=51
Exploring Operation: 73-36=37, Resulting Numbers: [15, 37]
Generated Node #0,3,1: 24:[15, 37] Operation: 73-36=37
Exploring Operation: 73-15=58, Resulting Numbers: [36, 58]
Generated Node #0,3,2: 24:[36, 58] Operation: 73-15=58
Exploring Operation: 36-15=21, Resulting Numbers: [73, 21]
Generated Node #0,3,3: 24:[73, 21] Operation: 36-15=21
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 24:[15, 37], Operations: ['81-8=73', '73-36=37']
Exploring Operation: 15+37=52, Resulting Numbers: [52]
52,24 unequal: No Solution
Exploring Operation: 15*37=555, Resulting Numbers: [555]
555,24 unequal: No Solution
Exploring Operation: 37-15=22, Resulting Numbers: [22]
22,24 unequal: No Solution
No 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: 24:[36, 58], Operations: ['81-8=73', '73-15=58']
Exploring Operation: 36+58=94, Resulting Numbers: [94]
94,24 unequal: No Solution
Exploring Operation: 36*58=2088, Resulting Numbers: [2088]
2088,24 unequal: No Solution
Exploring Operation: 58-36=22, Resulting Numbers: [22]
22,24 unequal: No Solution
No 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: 24:[73, 21], Operations: ['81-8=73', '36-15=21']
Exploring Operation: 73-21=52, Resulting Numbers: [52]
52,24 unequal: No Solution
Exploring Operation: 73*21=1533, Resulting Numbers: [1533]
1533,24 unequal: No Solution
Exploring Operation: 73+21=94, Resulting Numbers: [94]
94,24 unequal: No Solution
No 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: 24:[73, 51], Operations: ['81-8=73', '15+36=51']
Exploring Operation: 73-51=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Exploring Operation: 73+51=124, Resulting Numbers: [124]
124,24 unequal: No Solution
Exploring Operation: 73*51=3723, Resulting Numbers: [3723]
3723,24 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: 24:[8, 3], Operations: ['81-36=45', '45/15=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[81, 15, 8, 36], Operations: []
Exploring Operation: 81-36=45, Resulting Numbers: [15, 8, 45]
Generated Node #0,0: 24:[15, 8, 45] Operation: 81-36=45
Moving to Node #0,0
Current State: 24:[15, 8, 45], Operations: ['81-36=45']
Exploring Operation: 45/15=3, Resulting Numbers: [8, 3]
Generated Node #0,0,0: 24:[8, 3] Operation: 45/15=3
Moving to Node #0,0,0
Current State: 24:[8, 3], Operations: ['81-36=45', '45/15=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 0.957465 | hs_4 | mult_heuristic |
[
98,
57,
71,
36
] | 29 | [
"71-57=14",
"98/14=7",
"36-7=29"
] | Current State: 29:[98, 57, 71, 36], Operations: []
Exploring Operation: 71-57=14, Resulting Numbers: [98, 36, 14]
Generated Node #2: [98, 36, 14] from Operation: 71-57=14
Current State: 29:[98, 36, 14], Operations: ['71-57=14']
Exploring Operation: 98/14=7, Resulting Numbers: [36, 7]
Generated Node #3: [36, 7] from Operation: 98/14=7
Current State: 29:[36, 7], Operations: ['71-57=14', '98/14=7']
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[98, 57, 71, 36], Operations: []
Exploring Operation: 98-71=27, Resulting Numbers: [57, 36, 27]
Generated Node #0,0: 29:[57, 36, 27] Operation: 98-71=27
Exploring Operation: 98-57=41, Resulting Numbers: [71, 36, 41]
Generated Node #0,1: 29:[71, 36, 41] Operation: 98-57=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[57, 36, 27], Operations: ['98-71=27']
Exploring Operation: 57-27=30, Resulting Numbers: [36, 30]
Generated Node #0,0,0: 29:[36, 30] Operation: 57-27=30
Exploring Operation: 57-36=21, Resulting Numbers: [27, 21]
Generated Node #0,0,1: 29:[27, 21] Operation: 57-36=21
Moving to Node #0,0,0
Current State: 29:[36, 30], Operations: ['98-71=27', '57-27=30']
Exploring Operation: 36-30=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 36+30=66, Resulting Numbers: [66]
66,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[27, 21], Operations: ['98-71=27', '57-36=21']
Exploring Operation: 27+21=48, Resulting Numbers: [48]
48,29 unequal: No Solution
Exploring Operation: 27-21=6, Resulting Numbers: [6]
6,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[71, 36, 41], Operations: ['98-57=41']
Exploring Operation: 71-36=35, Resulting Numbers: [41, 35]
Generated Node #0,1,0: 29:[41, 35] Operation: 71-36=35
Exploring Operation: 71-41=30, Resulting Numbers: [36, 30]
Generated Node #0,1,1: 29:[36, 30] Operation: 71-41=30
Moving to Node #0,1,1
Current State: 29:[36, 30], Operations: ['98-57=41', '71-41=30']
Exploring Operation: 36+30=66, Resulting Numbers: [66]
66,29 unequal: No Solution
Exploring Operation: 36-30=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Moving to Node #0,1,0
Current State: 29:[41, 35], Operations: ['98-57=41', '71-36=35']
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,29 unequal: No Solution
Exploring Operation: 41+35=76, Resulting Numbers: [76]
76,29 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 |
[
74,
91,
13,
77
] | 52 | [
"77-74=3",
"13*3=39",
"91-39=52"
] | Current State: 52:[74, 91, 13, 77], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [91, 13, 3]
Generated Node #2: [91, 13, 3] from Operation: 77-74=3
Current State: 52:[91, 13, 3], Operations: ['77-74=3']
Exploring Operation: 13*3=39, Resulting Numbers: [91, 39]
Generated Node #3: [91, 39] from Operation: 13*3=39
Current State: 52:[91, 39], Operations: ['77-74=3', '13*3=39']
Exploring Operation: 91-39=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[74, 91, 13, 77], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [91, 13, 3]
Generated Node #0,0: 52:[91, 13, 3] Operation: 77-74=3
Exploring Operation: 91-74=17, Resulting Numbers: [13, 77, 17]
Generated Node #0,1: 52:[13, 77, 17] Operation: 91-74=17
Exploring Operation: 91-77=14, Resulting Numbers: [74, 13, 14]
Generated Node #0,2: 52:[74, 13, 14] Operation: 91-77=14
Exploring Operation: 91/13=7, Resulting Numbers: [74, 77, 7]
Generated Node #0,3: 52:[74, 77, 7] Operation: 91/13=7
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[74, 13, 14], Operations: ['91-77=14']
Exploring Operation: 13+14=27, Resulting Numbers: [74, 27]
Generated Node #0,2,0: 52:[74, 27] Operation: 13+14=27
Exploring Operation: 74-13=61, Resulting Numbers: [14, 61]
Generated Node #0,2,1: 52:[14, 61] Operation: 74-13=61
Exploring Operation: 14-13=1, Resulting Numbers: [74, 1]
Generated Node #0,2,2: 52:[74, 1] Operation: 14-13=1
Exploring Operation: 74-14=60, Resulting Numbers: [13, 60]
Generated Node #0,2,3: 52:[13, 60] Operation: 74-14=60
Moving to Node #0,2,3
Current State: 52:[13, 60], Operations: ['91-77=14', '74-14=60']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,52 unequal: No Solution
Exploring Operation: 13+60=73, Resulting Numbers: [73]
73,52 unequal: No Solution
Exploring Operation: 13*60=780, Resulting Numbers: [780]
780,52 unequal: No Solution
Moving to Node #0,2,1
Current State: 52:[14, 61], Operations: ['91-77=14', '74-13=61']
Exploring Operation: 61-14=47, Resulting Numbers: [47]
47,52 unequal: No Solution
Exploring Operation: 14*61=854, Resulting Numbers: [854]
854,52 unequal: No Solution
Exploring Operation: 14+61=75, Resulting Numbers: [75]
75,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[74, 1], Operations: ['91-77=14', '14-13=1']
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,52 unequal: No Solution
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,52 unequal: No Solution
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,52 unequal: No Solution
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,52 unequal: No Solution
Moving to Node #0,2,0
Current State: 52:[74, 27], Operations: ['91-77=14', '13+14=27']
Exploring Operation: 74*27=1998, Resulting Numbers: [1998]
1998,52 unequal: No Solution
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,52 unequal: No Solution
Exploring Operation: 74+27=101, Resulting Numbers: [101]
101,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[13, 77, 17], Operations: ['91-74=17']
Exploring Operation: 17-13=4, Resulting Numbers: [77, 4]
Generated Node #0,1,0: 52:[77, 4] Operation: 17-13=4
Exploring Operation: 77-17=60, Resulting Numbers: [13, 60]
Generated Node #0,1,1: 52:[13, 60] Operation: 77-17=60
Exploring Operation: 77-13=64, Resulting Numbers: [17, 64]
Generated Node #0,1,2: 52:[17, 64] Operation: 77-13=64
Exploring Operation: 13+17=30, Resulting Numbers: [77, 30]
Generated Node #0,1,3: 52:[77, 30] Operation: 13+17=30
Moving to Node #0,1,1
Current State: 52:[13, 60], Operations: ['91-74=17', '77-17=60']
Exploring Operation: 13*60=780, Resulting Numbers: [780]
780,52 unequal: No Solution
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,52 unequal: No Solution
Exploring Operation: 13+60=73, Resulting Numbers: [73]
73,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[17, 64], Operations: ['91-74=17', '77-13=64']
Exploring Operation: 64-17=47, Resulting Numbers: [47]
47,52 unequal: No Solution
Exploring Operation: 17+64=81, Resulting Numbers: [81]
81,52 unequal: No Solution
Exploring Operation: 17*64=1088, Resulting Numbers: [1088]
1088,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[77, 4], Operations: ['91-74=17', '17-13=4']
Exploring Operation: 77*4=308, Resulting Numbers: [308]
308,52 unequal: No Solution
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,52 unequal: No Solution
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,52 unequal: No Solution
Moving to Node #0,1,3
Current State: 52:[77, 30], Operations: ['91-74=17', '13+17=30']
Exploring Operation: 77-30=47, Resulting Numbers: [47]
47,52 unequal: No Solution
Exploring Operation: 77+30=107, Resulting Numbers: [107]
107,52 unequal: No Solution
Exploring Operation: 77*30=2310, Resulting Numbers: [2310]
2310,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[91, 13, 3], Operations: ['77-74=3']
Exploring Operation: 91+3=94, Resulting Numbers: [13, 94]
Generated Node #0,0,0: 52:[13, 94] Operation: 91+3=94
Exploring Operation: 91-13=78, Resulting Numbers: [3, 78]
Generated Node #0,0,1: 52:[3, 78] Operation: 91-13=78
Exploring Operation: 91/13=7, Resulting Numbers: [3, 7]
Generated Node #0,0,2: 52:[3, 7] Operation: 91/13=7
Exploring Operation: 91-3=88, Resulting Numbers: [13, 88]
Generated Node #0,0,3: 52:[13, 88] Operation: 91-3=88
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 52:[3, 7], Operations: ['77-74=3', '91/13=7']
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 52:[3, 78], Operations: ['77-74=3', '91-13=78']
Exploring Operation: 3*78=234, Resulting Numbers: [234]
234,52 unequal: No Solution
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 3+78=81, Resulting Numbers: [81]
81,52 unequal: No Solution
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 52:[13, 88], Operations: ['77-74=3', '91-3=88']
Exploring Operation: 13*88=1144, Resulting Numbers: [1144]
1144,52 unequal: No Solution
Exploring Operation: 88-13=75, Resulting Numbers: [75]
75,52 unequal: No Solution
Exploring Operation: 13+88=101, Resulting Numbers: [101]
101,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[13, 94], Operations: ['77-74=3', '91+3=94']
Exploring Operation: 13+94=107, Resulting Numbers: [107]
107,52 unequal: No Solution
Exploring Operation: 13*94=1222, Resulting Numbers: [1222]
1222,52 unequal: No Solution
Exploring Operation: 94-13=81, Resulting Numbers: [81]
81,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 52:[74, 77, 7], Operations: ['91/13=7']
Exploring Operation: 77-7=70, Resulting Numbers: [74, 70]
Generated Node #0,3,0: 52:[74, 70] Operation: 77-7=70
Exploring Operation: 77/7=11, Resulting Numbers: [74, 11]
Generated Node #0,3,1: 52:[74, 11] Operation: 77/7=11
Exploring Operation: 77-74=3, Resulting Numbers: [7, 3]
Generated Node #0,3,2: 52:[7, 3] Operation: 77-74=3
Exploring Operation: 74-7=67, Resulting Numbers: [77, 67]
Generated Node #0,3,3: 52:[77, 67] Operation: 74-7=67
Moving to Node #0,3,2
Current State: 52:[7, 3], Operations: ['91/13=7', '77-74=3']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Moving to Node #0,3,1
Current State: 52:[74, 11], Operations: ['91/13=7', '77/7=11']
Exploring Operation: 74*11=814, Resulting Numbers: [814]
814,52 unequal: No Solution
Exploring Operation: 74+11=85, Resulting Numbers: [85]
85,52 unequal: No Solution
Exploring Operation: 74-11=63, Resulting Numbers: [63]
63,52 unequal: No Solution
Moving to Node #0,3,3
Current State: 52:[77, 67], Operations: ['91/13=7', '74-7=67']
Exploring Operation: 77*67=5159, Resulting Numbers: [5159]
5159,52 unequal: No Solution
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 77+67=144, Resulting Numbers: [144]
144,52 unequal: No Solution
Moving to Node #0,3,0
Current State: 52:[74, 70], Operations: ['91/13=7', '77-7=70']
Exploring Operation: 74+70=144, Resulting Numbers: [144]
144,52 unequal: No Solution
Exploring Operation: 74-70=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Exploring Operation: 74*70=5180, Resulting Numbers: [5180]
5180,52 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 |
[
32,
97,
5,
20
] | 43 | [
"32*5=160",
"97+20=117",
"160-117=43"
] | Current State: 43:[32, 97, 5, 20], Operations: []
Exploring Operation: 32*5=160, Resulting Numbers: [97, 20, 160]
Generated Node #2: [97, 20, 160] from Operation: 32*5=160
Current State: 43:[97, 20, 160], Operations: ['32*5=160']
Exploring Operation: 97+20=117, Resulting Numbers: [160, 117]
Generated Node #3: [160, 117] from Operation: 97+20=117
Current State: 43:[160, 117], Operations: ['32*5=160', '97+20=117']
Exploring Operation: 160-117=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[32, 97, 5, 20], Operations: []
Exploring Operation: 32+5=37, Resulting Numbers: [97, 20, 37]
Generated Node #0,0: 43:[97, 20, 37] Operation: 32+5=37
Exploring Operation: 97-20=77, Resulting Numbers: [32, 5, 77]
Generated Node #0,1: 43:[32, 5, 77] Operation: 97-20=77
Exploring Operation: 97-5=92, Resulting Numbers: [32, 20, 92]
Generated Node #0,2: 43:[32, 20, 92] Operation: 97-5=92
Exploring Operation: 97-32=65, Resulting Numbers: [5, 20, 65]
Generated Node #0,3: 43:[5, 20, 65] Operation: 97-32=65
Moving to Node #0,0
Current State: 43:[97, 20, 37], Operations: ['32+5=37']
Exploring Operation: 97+20=117, Resulting Numbers: [37, 117]
Generated Node #0,0,0: 43:[37, 117] Operation: 97+20=117
Exploring Operation: 20+37=57, Resulting Numbers: [97, 57]
Generated Node #0,0,1: 43:[97, 57] Operation: 20+37=57
Exploring Operation: 97-20=77, Resulting Numbers: [37, 77]
Generated Node #0,0,2: 43:[37, 77] Operation: 97-20=77
Exploring Operation: 97-37=60, Resulting Numbers: [20, 60]
Generated Node #0,0,3: 43:[20, 60] Operation: 97-37=60
Moving to Node #0,2
Current State: 43:[32, 20, 92], Operations: ['97-5=92']
Exploring Operation: 92-32=60, Resulting Numbers: [20, 60]
Generated Node #0,2,0: 43:[20, 60] Operation: 92-32=60
Exploring Operation: 32+20=52, Resulting Numbers: [92, 52]
Generated Node #0,2,1: 43:[92, 52] Operation: 32+20=52
Exploring Operation: 92-20=72, Resulting Numbers: [32, 72]
Generated Node #0,2,2: 43:[32, 72] Operation: 92-20=72
Exploring Operation: 32-20=12, Resulting Numbers: [92, 12]
Generated Node #0,2,3: 43:[92, 12] Operation: 32-20=12
Moving to Node #0,1
Current State: 43:[32, 5, 77], Operations: ['97-20=77']
Exploring Operation: 77-5=72, Resulting Numbers: [32, 72]
Generated Node #0,1,0: 43:[32, 72] Operation: 77-5=72
Exploring Operation: 32+5=37, Resulting Numbers: [77, 37]
Generated Node #0,1,1: 43:[77, 37] Operation: 32+5=37
Exploring Operation: 32-5=27, Resulting Numbers: [77, 27]
Generated Node #0,1,2: 43:[77, 27] Operation: 32-5=27
Exploring Operation: 77-32=45, Resulting Numbers: [5, 45]
Generated Node #0,1,3: 43:[5, 45] Operation: 77-32=45
Moving to Node #0,3
Current State: 43:[5, 20, 65], Operations: ['97-32=65']
Exploring Operation: 65-20=45, Resulting Numbers: [5, 45]
Generated Node #0,3,0: 43:[5, 45] Operation: 65-20=45
Exploring Operation: 5+20=25, Resulting Numbers: [65, 25]
Generated Node #0,3,1: 43:[65, 25] Operation: 5+20=25
Exploring Operation: 65-5=60, Resulting Numbers: [20, 60]
Generated Node #0,3,2: 43:[20, 60] Operation: 65-5=60
Exploring Operation: 20-5=15, Resulting Numbers: [65, 15]
Generated Node #0,3,3: 43:[65, 15] Operation: 20-5=15
Moving to Node #0,0,2
Current State: 43:[37, 77], Operations: ['32+5=37', '97-20=77']
Exploring Operation: 37*77=2849, Resulting Numbers: [2849]
2849,43 unequal: No Solution
Exploring Operation: 37+77=114, Resulting Numbers: [114]
114,43 unequal: No Solution
Exploring Operation: 77-37=40, Resulting Numbers: [40]
40,43 unequal: No Solution
Moving to Node #0,2,2
Current State: 43:[32, 72], Operations: ['97-5=92', '92-20=72']
Exploring Operation: 32*72=2304, Resulting Numbers: [2304]
2304,43 unequal: No Solution
Exploring Operation: 32+72=104, Resulting Numbers: [104]
104,43 unequal: No Solution
Exploring Operation: 72-32=40, Resulting Numbers: [40]
40,43 unequal: No Solution
Moving to Node #0,3,1
Current State: 43:[65, 25], Operations: ['97-32=65', '5+20=25']
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,43 unequal: No Solution
Exploring Operation: 65+25=90, Resulting Numbers: [90]
90,43 unequal: No Solution
Exploring Operation: 65*25=1625, Resulting Numbers: [1625]
1625,43 unequal: No Solution
Moving to Node #0,3,2
Current State: 43:[20, 60], Operations: ['97-32=65', '65-5=60']
Exploring Operation: 20*60=1200, Resulting Numbers: [1200]
1200,43 unequal: No Solution
Exploring Operation: 20+60=80, Resulting Numbers: [80]
80,43 unequal: No Solution
Exploring Operation: 60-20=40, Resulting Numbers: [40]
40,43 unequal: No Solution
Exploring Operation: 60/20=3, Resulting Numbers: [3]
3,43 unequal: No Solution
Moving to Node #0,3,0
Current State: 43:[5, 45], Operations: ['97-32=65', '65-20=45']
Exploring Operation: 5*45=225, Resulting Numbers: [225]
225,43 unequal: No Solution
Exploring Operation: 5+45=50, Resulting Numbers: [50]
50,43 unequal: No Solution
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,43 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,43 unequal: No Solution
Moving to Node #0,0,3
Current State: 43:[20, 60], Operations: ['32+5=37', '97-37=60']
Exploring Operation: 20*60=1200, Resulting Numbers: [1200]
1200,43 unequal: No Solution
Exploring Operation: 60/20=3, Resulting Numbers: [3]
3,43 unequal: No Solution
Exploring Operation: 60-20=40, Resulting Numbers: [40]
40,43 unequal: No Solution
Exploring Operation: 20+60=80, Resulting Numbers: [80]
80,43 unequal: No Solution
Moving to Node #0,2,0
Current State: 43:[20, 60], Operations: ['97-5=92', '92-32=60']
Exploring Operation: 20+60=80, Resulting Numbers: [80]
80,43 unequal: No Solution
Exploring Operation: 20*60=1200, Resulting Numbers: [1200]
1200,43 unequal: No Solution
Exploring Operation: 60-20=40, Resulting Numbers: [40]
40,43 unequal: No Solution
Exploring Operation: 60/20=3, Resulting Numbers: [3]
3,43 unequal: No Solution
Moving to Node #0,1,3
Current State: 43:[5, 45], Operations: ['97-20=77', '77-32=45']
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,43 unequal: No Solution
Exploring Operation: 5+45=50, Resulting Numbers: [50]
50,43 unequal: No Solution
Exploring Operation: 5*45=225, Resulting Numbers: [225]
225,43 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[77, 37], Operations: ['97-20=77', '32+5=37']
Exploring Operation: 77+37=114, Resulting Numbers: [114]
114,43 unequal: No Solution
Exploring Operation: 77-37=40, Resulting Numbers: [40]
40,43 unequal: No Solution
Exploring Operation: 77*37=2849, Resulting Numbers: [2849]
2849,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[32, 72], Operations: ['97-20=77', '77-5=72']
Exploring Operation: 72-32=40, Resulting Numbers: [40]
40,43 unequal: No Solution
Exploring Operation: 32+72=104, Resulting Numbers: [104]
104,43 unequal: No Solution
Exploring Operation: 32*72=2304, Resulting Numbers: [2304]
2304,43 unequal: No Solution
Moving to Node #0,1,2
Current State: 43:[77, 27], Operations: ['97-20=77', '32-5=27']
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,43 unequal: No Solution
Exploring Operation: 77*27=2079, Resulting Numbers: [2079]
2079,43 unequal: No Solution
Exploring Operation: 77+27=104, Resulting Numbers: [104]
104,43 unequal: No Solution
Moving to Node #0,3,3
Current State: 43:[65, 15], Operations: ['97-32=65', '20-5=15']
Exploring Operation: 65+15=80, Resulting Numbers: [80]
80,43 unequal: No Solution
Exploring Operation: 65-15=50, Resulting Numbers: [50]
50,43 unequal: No Solution
Exploring Operation: 65*15=975, Resulting Numbers: [975]
975,43 unequal: No Solution
Moving to Node #0,2,1
Current State: 43:[92, 52], Operations: ['97-5=92', '32+20=52']
Exploring Operation: 92*52=4784, Resulting Numbers: [4784]
4784,43 unequal: No Solution
Exploring Operation: 92+52=144, Resulting Numbers: [144]
144,43 unequal: No Solution
Exploring Operation: 92-52=40, Resulting Numbers: [40]
40,43 unequal: No Solution
Moving to Node #0,0,1
Current State: 43:[97, 57], Operations: ['32+5=37', '20+37=57']
Exploring Operation: 97*57=5529, Resulting Numbers: [5529]
5529,43 unequal: No Solution
Exploring Operation: 97-57=40, Resulting Numbers: [40]
40,43 unequal: No Solution
Exploring Operation: 97+57=154, Resulting Numbers: [154]
154,43 unequal: No Solution
Moving to Node #0,0,0
Current State: 43:[37, 117], Operations: ['32+5=37', '97+20=117']
Exploring Operation: 37+117=154, Resulting Numbers: [154]
154,43 unequal: No Solution
Exploring Operation: 37*117=4329, Resulting Numbers: [4329]
4329,43 unequal: No Solution
Exploring Operation: 117-37=80, Resulting Numbers: [80]
80,43 unequal: No Solution
Moving to Node #0,2,3
Current State: 43:[92, 12], Operations: ['97-5=92', '32-20=12']
Exploring Operation: 92*12=1104, Resulting Numbers: [1104]
1104,43 unequal: No Solution
Exploring Operation: 92-12=80, Resulting Numbers: [80]
80,43 unequal: No Solution
Exploring Operation: 92+12=104, Resulting Numbers: [104]
104,43 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
12,
29,
54,
63
] | 50 | [
"12+29=41",
"63-54=9",
"41+9=50"
] | Current State: 50:[12, 29, 54, 63], Operations: []
Exploring Operation: 12+29=41, Resulting Numbers: [54, 63, 41]
Generated Node #2: [54, 63, 41] from Operation: 12+29=41
Current State: 50:[54, 63, 41], Operations: ['12+29=41']
Exploring Operation: 63-54=9, Resulting Numbers: [41, 9]
Generated Node #3: [41, 9] from Operation: 63-54=9
Current State: 50:[41, 9], Operations: ['12+29=41', '63-54=9']
Exploring Operation: 41+9=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[12, 29, 54, 63], Operations: []
Exploring Operation: 63-12=51, Resulting Numbers: [29, 54, 51]
Generated Node #0,0: 50:[29, 54, 51] Operation: 63-12=51
Exploring Operation: 63-54=9, Resulting Numbers: [12, 29, 9]
Generated Node #0,1: 50:[12, 29, 9] Operation: 63-54=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[12, 29, 9], Operations: ['63-54=9']
Exploring Operation: 12-9=3, Resulting Numbers: [29, 3]
Generated Node #0,1,0: 50:[29, 3] Operation: 12-9=3
Exploring Operation: 29-9=20, Resulting Numbers: [12, 20]
Generated Node #0,1,1: 50:[12, 20] Operation: 29-9=20
Moving to Node #0,1,0
Current State: 50:[29, 3], Operations: ['63-54=9', '12-9=3']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,50 unequal: No Solution
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,50 unequal: No Solution
Moving to Node #0,1,1
Current State: 50:[12, 20], Operations: ['63-54=9', '29-9=20']
Exploring Operation: 12+20=32, Resulting Numbers: [32]
32,50 unequal: No Solution
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,50 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:[29, 54, 51], Operations: ['63-12=51']
Exploring Operation: 54-29=25, Resulting Numbers: [51, 25]
Generated Node #0,0,0: 50:[51, 25] Operation: 54-29=25
Exploring Operation: 54-51=3, Resulting Numbers: [29, 3]
Generated Node #0,0,1: 50:[29, 3] Operation: 54-51=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 50:[51, 25], Operations: ['63-12=51', '54-29=25']
Exploring Operation: 51+25=76, Resulting Numbers: [76]
76,50 unequal: No Solution
Exploring Operation: 51-25=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 #0,0,1
Current State: 50:[29, 3], Operations: ['63-12=51', '54-51=3']
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,50 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,50 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
No solution found.
| 0 | hs_2 | mult_heuristic |
[
55,
75,
61,
30
] | 99 | [
"55+75=130",
"61-30=31",
"130-31=99"
] | Current State: 99:[55, 75, 61, 30], Operations: []
Exploring Operation: 55+75=130, Resulting Numbers: [61, 30, 130]
Generated Node #2: [61, 30, 130] from Operation: 55+75=130
Current State: 99:[61, 30, 130], Operations: ['55+75=130']
Exploring Operation: 61-30=31, Resulting Numbers: [130, 31]
Generated Node #3: [130, 31] from Operation: 61-30=31
Current State: 99:[130, 31], Operations: ['55+75=130', '61-30=31']
Exploring Operation: 130-31=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[55, 75, 61, 30], Operations: []
Exploring Operation: 75-61=14, Resulting Numbers: [55, 30, 14]
Generated Node #0,0: 99:[55, 30, 14] Operation: 75-61=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[55, 30, 14], Operations: ['75-61=14']
Exploring Operation: 55-30=25, Resulting Numbers: [14, 25]
Generated Node #0,0,0: 99:[14, 25] Operation: 55-30=25
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 99:[14, 25], Operations: ['75-61=14', '55-30=25']
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
42,
5,
75,
90
] | 52 | [
"42-5=37",
"90-75=15",
"37+15=52"
] | Current State: 52:[42, 5, 75, 90], Operations: []
Exploring Operation: 42-5=37, Resulting Numbers: [75, 90, 37]
Generated Node #2: [75, 90, 37] from Operation: 42-5=37
Current State: 52:[75, 90, 37], Operations: ['42-5=37']
Exploring Operation: 90-75=15, Resulting Numbers: [37, 15]
Generated Node #3: [37, 15] from Operation: 90-75=15
Current State: 52:[37, 15], Operations: ['42-5=37', '90-75=15']
Exploring Operation: 37+15=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[42, 5, 75, 90], Operations: []
Exploring Operation: 90/5=18, Resulting Numbers: [42, 75, 18]
Generated Node #0,0: 52:[42, 75, 18] Operation: 90/5=18
Exploring Operation: 75/5=15, Resulting Numbers: [42, 90, 15]
Generated Node #0,1: 52:[42, 90, 15] Operation: 75/5=15
Exploring Operation: 90-75=15, Resulting Numbers: [42, 5, 15]
Generated Node #0,2: 52:[42, 5, 15] Operation: 90-75=15
Exploring Operation: 75-42=33, Resulting Numbers: [5, 90, 33]
Generated Node #0,3: 52:[5, 90, 33] Operation: 75-42=33
Exploring Operation: 90-42=48, Resulting Numbers: [5, 75, 48]
Generated Node #0,4: 52:[5, 75, 48] Operation: 90-42=48
Moving to Node #0,2
Current State: 52:[42, 5, 15], Operations: ['90-75=15']
Exploring Operation: 42-5=37, Resulting Numbers: [15, 37]
Generated Node #0,2,0: 52:[15, 37] Operation: 42-5=37
Exploring Operation: 42+5=47, Resulting Numbers: [15, 47]
Generated Node #0,2,1: 52:[15, 47] Operation: 42+5=47
Exploring Operation: 42+15=57, Resulting Numbers: [5, 57]
Generated Node #0,2,2: 52:[5, 57] Operation: 42+15=57
Exploring Operation: 42-15=27, Resulting Numbers: [5, 27]
Generated Node #0,2,3: 52:[5, 27] Operation: 42-15=27
Exploring Operation: 15/5=3, Resulting Numbers: [42, 3]
Generated Node #0,2,4: 52:[42, 3] Operation: 15/5=3
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 52:[5, 27], Operations: ['90-75=15', '42-15=27']
Exploring Operation: 5*27=135, Resulting Numbers: [135]
135,52 unequal: No Solution
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,52 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 52:[5, 57], Operations: ['90-75=15', '42+15=57']
Exploring Operation: 5*57=285, Resulting Numbers: [285]
285,52 unequal: No Solution
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[42, 5, 75, 90], Operations: []
Exploring Operation: 90-75=15, Resulting Numbers: [42, 5, 15]
Generated Node #0,2: 52:[42, 5, 15] Operation: 90-75=15
Moving to Node #0,2
Current State: 52:[42, 5, 15], Operations: ['90-75=15']
Exploring Operation: 42+15=57, Resulting Numbers: [5, 57]
Generated Node #0,2,2: 52:[5, 57] Operation: 42+15=57
Moving to Node #0,2,2
Current State: 52:[5, 57], Operations: ['90-75=15', '42+15=57']
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
43,
43,
53,
81
] | 81 | [
"43-43=0",
"53*0=0",
"81+0=81"
] | Current State: 81:[43, 43, 53, 81], Operations: []
Exploring Operation: 43-43=0, Resulting Numbers: [53, 81, 0]
Generated Node #2: [53, 81, 0] from Operation: 43-43=0
Current State: 81:[53, 81, 0], Operations: ['43-43=0']
Exploring Operation: 53*0=0, Resulting Numbers: [81, 0]
Generated Node #3: [81, 0] from Operation: 53*0=0
Current State: 81:[81, 0], Operations: ['43-43=0', '53*0=0']
Exploring Operation: 81+0=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[43, 43, 53, 81], Operations: []
Exploring Operation: 43/43=1, Resulting Numbers: [53, 81, 1]
Generated Node #0,0: 81:[53, 81, 1] Operation: 43/43=1
Exploring Operation: 53-43=10, Resulting Numbers: [43, 81, 10]
Generated Node #0,1: 81:[43, 81, 10] Operation: 53-43=10
Exploring Operation: 53-43=10, Resulting Numbers: [43, 81, 10]
Generated Node #0,2: 81:[43, 81, 10] Operation: 53-43=10
Exploring Operation: 43-43=0, Resulting Numbers: [53, 81, 0]
Generated Node #0,3: 81:[53, 81, 0] Operation: 43-43=0
Moving to Node #0,1
Current State: 81:[43, 81, 10], Operations: ['53-43=10']
Exploring Operation: 81+10=91, Resulting Numbers: [43, 91]
Generated Node #0,1,0: 81:[43, 91] Operation: 81+10=91
Exploring Operation: 43+10=53, Resulting Numbers: [81, 53]
Generated Node #0,1,1: 81:[81, 53] Operation: 43+10=53
Exploring Operation: 43-10=33, Resulting Numbers: [81, 33]
Generated Node #0,1,2: 81:[81, 33] Operation: 43-10=33
Exploring Operation: 81-43=38, Resulting Numbers: [10, 38]
Generated Node #0,1,3: 81:[10, 38] Operation: 81-43=38
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 81:[81, 33], Operations: ['53-43=10', '43-10=33']
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,81 unequal: No Solution
Exploring Operation: 81+33=114, Resulting Numbers: [114]
114,81 unequal: No Solution
Exploring Operation: 81*33=2673, Resulting Numbers: [2673]
2673,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 81:[10, 38], Operations: ['53-43=10', '81-43=38']
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 10+38=48, Resulting Numbers: [48]
48,81 unequal: No Solution
Exploring Operation: 10*38=380, Resulting Numbers: [380]
380,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[43, 91], Operations: ['53-43=10', '81+10=91']
Exploring Operation: 91-43=48, Resulting Numbers: [48]
48,81 unequal: No Solution
Exploring Operation: 43+91=134, Resulting Numbers: [134]
134,81 unequal: No Solution
Exploring Operation: 43*91=3913, Resulting Numbers: [3913]
3913,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[81, 53], Operations: ['53-43=10', '43+10=53']
Exploring Operation: 81*53=4293, Resulting Numbers: [4293]
4293,81 unequal: No Solution
Exploring Operation: 81+53=134, Resulting Numbers: [134]
134,81 unequal: No Solution
Exploring Operation: 81-53=28, Resulting Numbers: [28]
28,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 81:[43, 81, 10], Operations: ['53-43=10']
Exploring Operation: 81-43=38, Resulting Numbers: [10, 38]
Generated Node #0,2,0: 81:[10, 38] Operation: 81-43=38
Exploring Operation: 43-10=33, Resulting Numbers: [81, 33]
Generated Node #0,2,1: 81:[81, 33] Operation: 43-10=33
Exploring Operation: 43+10=53, Resulting Numbers: [81, 53]
Generated Node #0,2,2: 81:[81, 53] Operation: 43+10=53
Exploring Operation: 81+10=91, Resulting Numbers: [43, 91]
Generated Node #0,2,3: 81:[43, 91] Operation: 81+10=91
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 81:[81, 33], Operations: ['53-43=10', '43-10=33']
Exploring Operation: 81+33=114, Resulting Numbers: [114]
114,81 unequal: No Solution
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,81 unequal: No Solution
Exploring Operation: 81*33=2673, Resulting Numbers: [2673]
2673,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 81:[10, 38], Operations: ['53-43=10', '81-43=38']
Exploring Operation: 10+38=48, Resulting Numbers: [48]
48,81 unequal: No Solution
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 10*38=380, Resulting Numbers: [380]
380,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 81:[81, 53], Operations: ['53-43=10', '43+10=53']
Exploring Operation: 81+53=134, Resulting Numbers: [134]
134,81 unequal: No Solution
Exploring Operation: 81-53=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 81*53=4293, Resulting Numbers: [4293]
4293,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 81:[43, 91], Operations: ['53-43=10', '81+10=91']
Exploring Operation: 91-43=48, Resulting Numbers: [48]
48,81 unequal: No Solution
Exploring Operation: 43+91=134, Resulting Numbers: [134]
134,81 unequal: No Solution
Exploring Operation: 43*91=3913, Resulting Numbers: [3913]
3913,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 81:[53, 81, 1], Operations: ['43/43=1']
Exploring Operation: 81-53=28, Resulting Numbers: [1, 28]
Generated Node #0,0,0: 81:[1, 28] Operation: 81-53=28
Exploring Operation: 53-1=52, Resulting Numbers: [81, 52]
Generated Node #0,0,1: 81:[81, 52] Operation: 53-1=52
Exploring Operation: 53*1=53, Resulting Numbers: [81, 53]
Generated Node #0,0,2: 81:[81, 53] Operation: 53*1=53
Exploring Operation: 53/1=53, Resulting Numbers: [81, 53]
Generated Node #0,0,3: 81:[81, 53] Operation: 53/1=53
Moving to Node #0,3
Current State: 81:[53, 81, 0], Operations: ['43-43=0']
Exploring Operation: 81-53=28, Resulting Numbers: [0, 28]
Generated Node #0,3,0: 81:[0, 28] Operation: 81-53=28
Exploring Operation: 53*0=0, Resulting Numbers: [81, 0]
Generated Node #0,3,1: 81:[81, 0] Operation: 53*0=0
Exploring Operation: 53+0=53, Resulting Numbers: [81, 53]
Generated Node #0,3,2: 81:[81, 53] Operation: 53+0=53
Exploring Operation: 53-0=53, Resulting Numbers: [81, 53]
Generated Node #0,3,3: 81:[81, 53] Operation: 53-0=53
Moving to Node #0,0,0
Current State: 81:[1, 28], Operations: ['43/43=1', '81-53=28']
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,81 unequal: No Solution
Exploring Operation: 1*28=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 1+28=29, Resulting Numbers: [29]
29,81 unequal: No Solution
Moving to Node #0,3,1
Current State: 81:[81, 0], Operations: ['43-43=0', '53*0=0']
Exploring Operation: 81+0=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[43, 43, 53, 81], Operations: []
Exploring Operation: 43-43=0, Resulting Numbers: [53, 81, 0]
Generated Node #0,3: 81:[53, 81, 0] Operation: 43-43=0
Moving to Node #0,3
Current State: 81:[53, 81, 0], Operations: ['43-43=0']
Exploring Operation: 53*0=0, Resulting Numbers: [81, 0]
Generated Node #0,3,1: 81:[81, 0] Operation: 53*0=0
Moving to Node #0,3,1
Current State: 81:[81, 0], Operations: ['43-43=0', '53*0=0']
Exploring Operation: 81+0=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 0.953993 | hs_4 | mult_heuristic |
[
41,
78,
32,
78
] | 74 | [
"41+32=73",
"78/78=1",
"73+1=74"
] | Current State: 74:[41, 78, 32, 78], Operations: []
Exploring Operation: 41+32=73, Resulting Numbers: [78, 78, 73]
Generated Node #2: [78, 78, 73] from Operation: 41+32=73
Current State: 74:[78, 78, 73], Operations: ['41+32=73']
Exploring Operation: 78/78=1, Resulting Numbers: [73, 1]
Generated Node #3: [73, 1] from Operation: 78/78=1
Current State: 74:[73, 1], Operations: ['41+32=73', '78/78=1']
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[41, 78, 32, 78], Operations: []
Exploring Operation: 78-41=37, Resulting Numbers: [78, 32, 37]
Generated Node #0,0: 74:[78, 32, 37] Operation: 78-41=37
Exploring Operation: 41+32=73, Resulting Numbers: [78, 78, 73]
Generated Node #0,1: 74:[78, 78, 73] Operation: 41+32=73
Exploring Operation: 78-41=37, Resulting Numbers: [32, 78, 37]
Generated Node #0,2: 74:[32, 78, 37] Operation: 78-41=37
Exploring Operation: 78/78=1, Resulting Numbers: [41, 32, 1]
Generated Node #0,3: 74:[41, 32, 1] Operation: 78/78=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[78, 32, 37], Operations: ['78-41=37']
Exploring Operation: 78-32=46, Resulting Numbers: [37, 46]
Generated Node #0,0,0: 74:[37, 46] Operation: 78-32=46
Exploring Operation: 37-32=5, Resulting Numbers: [78, 5]
Generated Node #0,0,1: 74:[78, 5] Operation: 37-32=5
Exploring Operation: 78-37=41, Resulting Numbers: [32, 41]
Generated Node #0,0,2: 74:[32, 41] Operation: 78-37=41
Exploring Operation: 32+37=69, Resulting Numbers: [78, 69]
Generated Node #0,0,3: 74:[78, 69] Operation: 32+37=69
Moving to Node #0,0,1
Current State: 74:[78, 5], Operations: ['78-41=37', '37-32=5']
Exploring Operation: 78-5=73, Resulting Numbers: [73]
73,74 unequal: No Solution
Exploring Operation: 78+5=83, Resulting Numbers: [83]
83,74 unequal: No Solution
Exploring Operation: 78*5=390, Resulting Numbers: [390]
390,74 unequal: No Solution
Moving to Node #0,0,2
Current State: 74:[32, 41], Operations: ['78-41=37', '78-37=41']
Exploring Operation: 32+41=73, Resulting Numbers: [73]
73,74 unequal: No Solution
Exploring Operation: 32*41=1312, Resulting Numbers: [1312]
1312,74 unequal: No Solution
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,74 unequal: No Solution
Moving to Node #0,0,0
Current State: 74:[37, 46], Operations: ['78-41=37', '78-32=46']
Exploring Operation: 37+46=83, Resulting Numbers: [83]
83,74 unequal: No Solution
Exploring Operation: 37*46=1702, Resulting Numbers: [1702]
1702,74 unequal: No Solution
Exploring Operation: 46-37=9, Resulting Numbers: [9]
9,74 unequal: No Solution
Moving to Node #0,0,3
Current State: 74:[78, 69], Operations: ['78-41=37', '32+37=69']
Exploring Operation: 78+69=147, Resulting Numbers: [147]
147,74 unequal: No Solution
Exploring Operation: 78-69=9, Resulting Numbers: [9]
9,74 unequal: No Solution
Exploring Operation: 78*69=5382, Resulting Numbers: [5382]
5382,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[78, 78, 73], Operations: ['41+32=73']
Exploring Operation: 78-73=5, Resulting Numbers: [78, 5]
Generated Node #0,1,0: 74:[78, 5] Operation: 78-73=5
Exploring Operation: 78-78=0, Resulting Numbers: [73, 0]
Generated Node #0,1,1: 74:[73, 0] Operation: 78-78=0
Exploring Operation: 78-73=5, Resulting Numbers: [78, 5]
Generated Node #0,1,2: 74:[78, 5] Operation: 78-73=5
Exploring Operation: 78/78=1, Resulting Numbers: [73, 1]
Generated Node #0,1,3: 74:[73, 1] Operation: 78/78=1
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 74:[73, 1], Operations: ['41+32=73', '78/78=1']
Exploring Operation: 73/1=73, Resulting Numbers: [73]
73,74 unequal: No Solution
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[41, 78, 32, 78], Operations: []
Exploring Operation: 41+32=73, Resulting Numbers: [78, 78, 73]
Generated Node #0,1: 74:[78, 78, 73] Operation: 41+32=73
Moving to Node #0,1
Current State: 74:[78, 78, 73], Operations: ['41+32=73']
Exploring Operation: 78/78=1, Resulting Numbers: [73, 1]
Generated Node #0,1,3: 74:[73, 1] Operation: 78/78=1
Moving to Node #0,1,3
Current State: 74:[73, 1], Operations: ['41+32=73', '78/78=1']
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.973958 | hs_4 | sum_heuristic |
[
53,
73,
56,
54
] | 89 | [
"56-53=3",
"54*3=162",
"162-73=89"
] | Current State: 89:[53, 73, 56, 54], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [73, 54, 3]
Generated Node #2: [73, 54, 3] from Operation: 56-53=3
Current State: 89:[73, 54, 3], Operations: ['56-53=3']
Exploring Operation: 54*3=162, Resulting Numbers: [73, 162]
Generated Node #3: [73, 162] from Operation: 54*3=162
Current State: 89:[73, 162], Operations: ['56-53=3', '54*3=162']
Exploring Operation: 162-73=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[53, 73, 56, 54], Operations: []
Exploring Operation: 56+54=110, Resulting Numbers: [53, 73, 110]
Generated Node #0,0: 89:[53, 73, 110] Operation: 56+54=110
Exploring Operation: 53+56=109, Resulting Numbers: [73, 54, 109]
Generated Node #0,1: 89:[73, 54, 109] Operation: 53+56=109
Exploring Operation: 53+54=107, Resulting Numbers: [73, 56, 107]
Generated Node #0,2: 89:[73, 56, 107] Operation: 53+54=107
Exploring Operation: 53+73=126, Resulting Numbers: [56, 54, 126]
Generated Node #0,3: 89:[56, 54, 126] Operation: 53+73=126
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[73, 56, 107], Operations: ['53+54=107']
Exploring Operation: 107-56=51, Resulting Numbers: [73, 51]
Generated Node #0,2,0: 89:[73, 51] Operation: 107-56=51
Exploring Operation: 73+56=129, Resulting Numbers: [107, 129]
Generated Node #0,2,1: 89:[107, 129] Operation: 73+56=129
Exploring Operation: 107-73=34, Resulting Numbers: [56, 34]
Generated Node #0,2,2: 89:[56, 34] Operation: 107-73=34
Exploring Operation: 73-56=17, Resulting Numbers: [107, 17]
Generated Node #0,2,3: 89:[107, 17] Operation: 73-56=17
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 89:[73, 51], Operations: ['53+54=107', '107-56=51']
Exploring Operation: 73-51=22, Resulting Numbers: [22]
22,89 unequal: No Solution
Exploring Operation: 73+51=124, Resulting Numbers: [124]
124,89 unequal: No Solution
Exploring Operation: 73*51=3723, Resulting Numbers: [3723]
3723,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 89:[107, 129], Operations: ['53+54=107', '73+56=129']
Exploring Operation: 107*129=13803, Resulting Numbers: [13803]
13803,89 unequal: No Solution
Exploring Operation: 107+129=236, Resulting Numbers: [236]
236,89 unequal: No Solution
Exploring Operation: 129-107=22, Resulting Numbers: [22]
22,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 89:[56, 34], Operations: ['53+54=107', '107-73=34']
Exploring Operation: 56*34=1904, Resulting Numbers: [1904]
1904,89 unequal: No Solution
Exploring Operation: 56-34=22, Resulting Numbers: [22]
22,89 unequal: No Solution
Exploring Operation: 56+34=90, Resulting Numbers: [90]
90,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 89:[107, 17], Operations: ['53+54=107', '73-56=17']
Exploring Operation: 107-17=90, Resulting Numbers: [90]
90,89 unequal: No Solution
Exploring Operation: 107*17=1819, Resulting Numbers: [1819]
1819,89 unequal: No Solution
Exploring Operation: 107+17=124, Resulting Numbers: [124]
124,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[73, 54, 109], Operations: ['53+56=109']
Exploring Operation: 109-54=55, Resulting Numbers: [73, 55]
Generated Node #0,1,0: 89:[73, 55] Operation: 109-54=55
Exploring Operation: 73-54=19, Resulting Numbers: [109, 19]
Generated Node #0,1,1: 89:[109, 19] Operation: 73-54=19
Exploring Operation: 109-73=36, Resulting Numbers: [54, 36]
Generated Node #0,1,2: 89:[54, 36] Operation: 109-73=36
Exploring Operation: 73+54=127, Resulting Numbers: [109, 127]
Generated Node #0,1,3: 89:[109, 127] Operation: 73+54=127
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 89:[73, 55], Operations: ['53+56=109', '109-54=55']
Exploring Operation: 73+55=128, Resulting Numbers: [128]
128,89 unequal: No Solution
Exploring Operation: 73*55=4015, Resulting Numbers: [4015]
4015,89 unequal: No Solution
Exploring Operation: 73-55=18, Resulting Numbers: [18]
18,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 89:[109, 127], Operations: ['53+56=109', '73+54=127']
Exploring Operation: 127-109=18, Resulting Numbers: [18]
18,89 unequal: No Solution
Exploring Operation: 109*127=13843, Resulting Numbers: [13843]
13843,89 unequal: No Solution
Exploring Operation: 109+127=236, Resulting Numbers: [236]
236,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 89:[54, 36], Operations: ['53+56=109', '109-73=36']
Exploring Operation: 54*36=1944, Resulting Numbers: [1944]
1944,89 unequal: No Solution
Exploring Operation: 54-36=18, Resulting Numbers: [18]
18,89 unequal: No Solution
Exploring Operation: 54+36=90, Resulting Numbers: [90]
90,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 89:[109, 19], Operations: ['53+56=109', '73-54=19']
Exploring Operation: 109-19=90, Resulting Numbers: [90]
90,89 unequal: No Solution
Exploring Operation: 109+19=128, Resulting Numbers: [128]
128,89 unequal: No Solution
Exploring Operation: 109*19=2071, Resulting Numbers: [2071]
2071,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[53, 73, 110], Operations: ['56+54=110']
Exploring Operation: 73-53=20, Resulting Numbers: [110, 20]
Generated Node #0,0,0: 89:[110, 20] Operation: 73-53=20
Exploring Operation: 53+73=126, Resulting Numbers: [110, 126]
Generated Node #0,0,1: 89:[110, 126] Operation: 53+73=126
Exploring Operation: 110-53=57, Resulting Numbers: [73, 57]
Generated Node #0,0,2: 89:[73, 57] Operation: 110-53=57
Exploring Operation: 110-73=37, Resulting Numbers: [53, 37]
Generated Node #0,0,3: 89:[53, 37] Operation: 110-73=37
Moving to Node #0,0,2
Current State: 89:[73, 57], Operations: ['56+54=110', '110-53=57']
Exploring Operation: 73*57=4161, Resulting Numbers: [4161]
4161,89 unequal: No Solution
Exploring Operation: 73+57=130, Resulting Numbers: [130]
130,89 unequal: No Solution
Exploring Operation: 73-57=16, Resulting Numbers: [16]
16,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[110, 126], Operations: ['56+54=110', '53+73=126']
Exploring Operation: 126-110=16, Resulting Numbers: [16]
16,89 unequal: No Solution
Exploring Operation: 110+126=236, Resulting Numbers: [236]
236,89 unequal: No Solution
Exploring Operation: 110*126=13860, Resulting Numbers: [13860]
13860,89 unequal: No Solution
Moving to Node #0,0,3
Current State: 89:[53, 37], Operations: ['56+54=110', '110-73=37']
Exploring Operation: 53+37=90, Resulting Numbers: [90]
90,89 unequal: No Solution
Exploring Operation: 53-37=16, Resulting Numbers: [16]
16,89 unequal: No Solution
Exploring Operation: 53*37=1961, Resulting Numbers: [1961]
1961,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[110, 20], Operations: ['56+54=110', '73-53=20']
Exploring Operation: 110-20=90, Resulting Numbers: [90]
90,89 unequal: No Solution
Exploring Operation: 110+20=130, Resulting Numbers: [130]
130,89 unequal: No Solution
Exploring Operation: 110*20=2200, Resulting Numbers: [2200]
2200,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 89:[56, 54, 126], Operations: ['53+73=126']
Exploring Operation: 56+54=110, Resulting Numbers: [126, 110]
Generated Node #0,3,0: 89:[126, 110] Operation: 56+54=110
Exploring Operation: 56-54=2, Resulting Numbers: [126, 2]
Generated Node #0,3,1: 89:[126, 2] Operation: 56-54=2
Exploring Operation: 126-56=70, Resulting Numbers: [54, 70]
Generated Node #0,3,2: 89:[54, 70] Operation: 126-56=70
Exploring Operation: 126-54=72, Resulting Numbers: [56, 72]
Generated Node #0,3,3: 89:[56, 72] Operation: 126-54=72
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 89:[56, 72], Operations: ['53+73=126', '126-54=72']
Exploring Operation: 56+72=128, Resulting Numbers: [128]
128,89 unequal: No Solution
Exploring Operation: 72-56=16, Resulting Numbers: [16]
16,89 unequal: No Solution
Exploring Operation: 56*72=4032, Resulting Numbers: [4032]
4032,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 89:[54, 70], Operations: ['53+73=126', '126-56=70']
Exploring Operation: 54*70=3780, Resulting Numbers: [3780]
3780,89 unequal: No Solution
Exploring Operation: 54+70=124, Resulting Numbers: [124]
124,89 unequal: No Solution
Exploring Operation: 70-54=16, Resulting Numbers: [16]
16,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 89:[126, 110], Operations: ['53+73=126', '56+54=110']
Exploring Operation: 126*110=13860, Resulting Numbers: [13860]
13860,89 unequal: No Solution
Exploring Operation: 126-110=16, Resulting Numbers: [16]
16,89 unequal: No Solution
Exploring Operation: 126+110=236, Resulting Numbers: [236]
236,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 89:[126, 2], Operations: ['53+73=126', '56-54=2']
Exploring Operation: 126/2=63, Resulting Numbers: [63]
63,89 unequal: No Solution
Exploring Operation: 126+2=128, Resulting Numbers: [128]
128,89 unequal: No Solution
Exploring Operation: 126*2=252, Resulting Numbers: [252]
252,89 unequal: No Solution
Exploring Operation: 126-2=124, Resulting Numbers: [124]
124,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
72,
26,
77,
6
] | 56 | [
"77-72=5",
"6*5=30",
"26+30=56"
] | Current State: 56:[72, 26, 77, 6], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [26, 6, 5]
Generated Node #2: [26, 6, 5] from Operation: 77-72=5
Current State: 56:[26, 6, 5], Operations: ['77-72=5']
Exploring Operation: 6*5=30, Resulting Numbers: [26, 30]
Generated Node #3: [26, 30] from Operation: 6*5=30
Current State: 56:[26, 30], Operations: ['77-72=5', '6*5=30']
Exploring Operation: 26+30=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[72, 26, 77, 6], Operations: []
Exploring Operation: 77-26=51, Resulting Numbers: [72, 6, 51]
Generated Node #0,0: 56:[72, 6, 51] Operation: 77-26=51
Exploring Operation: 72/6=12, Resulting Numbers: [26, 77, 12]
Generated Node #0,1: 56:[26, 77, 12] Operation: 72/6=12
Exploring Operation: 77-72=5, Resulting Numbers: [26, 6, 5]
Generated Node #0,2: 56:[26, 6, 5] Operation: 77-72=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 56:[26, 6, 5], Operations: ['77-72=5']
Exploring Operation: 6*5=30, Resulting Numbers: [26, 30]
Generated Node #0,2,0: 56:[26, 30] Operation: 6*5=30
Exploring Operation: 6-5=1, Resulting Numbers: [26, 1]
Generated Node #0,2,1: 56:[26, 1] Operation: 6-5=1
Exploring Operation: 26+5=31, Resulting Numbers: [6, 31]
Generated Node #0,2,2: 56:[6, 31] Operation: 26+5=31
Moving to Node #0,2,1
Current State: 56:[26, 1], Operations: ['77-72=5', '6-5=1']
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,56 unequal: No Solution
Moving to Node #0,2,0
Current State: 56:[26, 30], Operations: ['77-72=5', '6*5=30']
Exploring Operation: 26*30=780, Resulting Numbers: [780]
780,56 unequal: No Solution
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 26+30=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[72, 26, 77, 6], Operations: []
Exploring Operation: 77-72=5, Resulting Numbers: [26, 6, 5]
Generated Node #0,2: 56:[26, 6, 5] Operation: 77-72=5
Moving to Node #0,2
Current State: 56:[26, 6, 5], Operations: ['77-72=5']
Exploring Operation: 6*5=30, Resulting Numbers: [26, 30]
Generated Node #0,2,0: 56:[26, 30] Operation: 6*5=30
Moving to Node #0,2,0
Current State: 56:[26, 30], Operations: ['77-72=5', '6*5=30']
Exploring Operation: 26+30=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
23,
71,
75,
99
] | 15 | [
"23+71=94",
"99-94=5",
"75/5=15"
] | Current State: 15:[23, 71, 75, 99], Operations: []
Exploring Operation: 23+71=94, Resulting Numbers: [75, 99, 94]
Generated Node #2: [75, 99, 94] from Operation: 23+71=94
Current State: 15:[75, 99, 94], Operations: ['23+71=94']
Exploring Operation: 99-94=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 99-94=5
Current State: 15:[75, 5], Operations: ['23+71=94', '99-94=5']
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[23, 71, 75, 99], Operations: []
Exploring Operation: 99-75=24, Resulting Numbers: [23, 71, 24]
Generated Node #0,0: 15:[23, 71, 24] Operation: 99-75=24
Moving to Node #0,0
Current State: 15:[23, 71, 24], Operations: ['99-75=24']
Exploring Operation: 71-24=47, Resulting Numbers: [23, 47]
Generated Node #0,0,0: 15:[23, 47] Operation: 71-24=47
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[23, 47], Operations: ['99-75=24', '71-24=47']
Exploring Operation: 47-23=24, Resulting Numbers: [24]
24,15 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 |
[
10,
55,
23,
87
] | 45 | [
"10+55=65",
"23+87=110",
"110-65=45"
] | Current State: 45:[10, 55, 23, 87], Operations: []
Exploring Operation: 10+55=65, Resulting Numbers: [23, 87, 65]
Generated Node #2: [23, 87, 65] from Operation: 10+55=65
Current State: 45:[23, 87, 65], Operations: ['10+55=65']
Exploring Operation: 23+87=110, Resulting Numbers: [65, 110]
Generated Node #3: [65, 110] from Operation: 23+87=110
Current State: 45:[65, 110], Operations: ['10+55=65', '23+87=110']
Exploring Operation: 110-65=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[10, 55, 23, 87], Operations: []
Exploring Operation: 87-55=32, Resulting Numbers: [10, 23, 32]
Generated Node #0,0: 45:[10, 23, 32] Operation: 87-55=32
Moving to Node #0,0
Current State: 45:[10, 23, 32], Operations: ['87-55=32']
Exploring Operation: 32-23=9, Resulting Numbers: [10, 9]
Generated Node #0,0,0: 45:[10, 9] Operation: 32-23=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 45:[10, 9], Operations: ['87-55=32', '32-23=9']
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,45 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,
41,
1,
72
] | 19 | [
"51+41=92",
"1+72=73",
"92-73=19"
] | Current State: 19:[51, 41, 1, 72], Operations: []
Exploring Operation: 51+41=92, Resulting Numbers: [1, 72, 92]
Generated Node #2: [1, 72, 92] from Operation: 51+41=92
Current State: 19:[1, 72, 92], Operations: ['51+41=92']
Exploring Operation: 1+72=73, Resulting Numbers: [92, 73]
Generated Node #3: [92, 73] from Operation: 1+72=73
Current State: 19:[92, 73], Operations: ['51+41=92', '1+72=73']
Exploring Operation: 92-73=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[51, 41, 1, 72], Operations: []
Exploring Operation: 72-51=21, Resulting Numbers: [41, 1, 21]
Generated Node #0,0: 19:[41, 1, 21] Operation: 72-51=21
Moving to Node #0,0
Current State: 19:[41, 1, 21], Operations: ['72-51=21']
Exploring Operation: 41-21=20, Resulting Numbers: [1, 20]
Generated Node #0,0,0: 19:[1, 20] Operation: 41-21=20
Moving to Node #0,0,0
Current State: 19:[1, 20], Operations: ['72-51=21', '41-21=20']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[51, 41, 1, 72], Operations: []
Exploring Operation: 72-51=21, Resulting Numbers: [41, 1, 21]
Generated Node #0,0: 19:[41, 1, 21] Operation: 72-51=21
Moving to Node #0,0
Current State: 19:[41, 1, 21], Operations: ['72-51=21']
Exploring Operation: 41-21=20, Resulting Numbers: [1, 20]
Generated Node #0,0,0: 19:[1, 20] Operation: 41-21=20
Moving to Node #0,0,0
Current State: 19:[1, 20], Operations: ['72-51=21', '41-21=20']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
13,
71,
69,
87
] | 46 | [
"71-13=58",
"69*58=4002",
"4002/87=46"
] | Current State: 46:[13, 71, 69, 87], Operations: []
Exploring Operation: 71-13=58, Resulting Numbers: [69, 87, 58]
Generated Node #2: [69, 87, 58] from Operation: 71-13=58
Current State: 46:[69, 87, 58], Operations: ['71-13=58']
Exploring Operation: 69*58=4002, Resulting Numbers: [87, 4002]
Generated Node #3: [87, 4002] from Operation: 69*58=4002
Current State: 46:[87, 4002], Operations: ['71-13=58', '69*58=4002']
Exploring Operation: 4002/87=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[13, 71, 69, 87], Operations: []
Exploring Operation: 87-69=18, Resulting Numbers: [13, 71, 18]
Generated Node #0,0: 46:[13, 71, 18] Operation: 87-69=18
Exploring Operation: 87-71=16, Resulting Numbers: [13, 69, 16]
Generated Node #0,1: 46:[13, 69, 16] Operation: 87-71=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[13, 71, 18], Operations: ['87-69=18']
Exploring Operation: 71-18=53, Resulting Numbers: [13, 53]
Generated Node #0,0,0: 46:[13, 53] Operation: 71-18=53
Exploring Operation: 71-13=58, Resulting Numbers: [18, 58]
Generated Node #0,0,1: 46:[18, 58] Operation: 71-13=58
Moving to Node #0,0,0
Current State: 46:[13, 53], Operations: ['87-69=18', '71-18=53']
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,46 unequal: No Solution
Exploring Operation: 13+53=66, Resulting Numbers: [66]
66,46 unequal: No Solution
Moving to Node #0,0,1
Current State: 46:[18, 58], Operations: ['87-69=18', '71-13=58']
Exploring Operation: 18+58=76, Resulting Numbers: [76]
76,46 unequal: No Solution
Exploring Operation: 58-18=40, Resulting Numbers: [40]
40,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[13, 69, 16], Operations: ['87-71=16']
Exploring Operation: 69-13=56, Resulting Numbers: [16, 56]
Generated Node #0,1,0: 46:[16, 56] Operation: 69-13=56
Exploring Operation: 69-16=53, Resulting Numbers: [13, 53]
Generated Node #0,1,1: 46:[13, 53] Operation: 69-16=53
Moving to Node #0,1,0
Current State: 46:[16, 56], Operations: ['87-71=16', '69-13=56']
Exploring Operation: 16+56=72, Resulting Numbers: [72]
72,46 unequal: No Solution
Exploring Operation: 56-16=40, Resulting Numbers: [40]
40,46 unequal: No Solution
Moving to Node #0,1,1
Current State: 46:[13, 53], Operations: ['87-71=16', '69-16=53']
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,46 unequal: No Solution
Exploring Operation: 13+53=66, Resulting Numbers: [66]
66,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
89,
2,
50,
80
] | 24 | [
"50+80=130",
"130/2=65",
"89-65=24"
] | Current State: 24:[89, 2, 50, 80], Operations: []
Exploring Operation: 50+80=130, Resulting Numbers: [89, 2, 130]
Generated Node #2: [89, 2, 130] from Operation: 50+80=130
Current State: 24:[89, 2, 130], Operations: ['50+80=130']
Exploring Operation: 130/2=65, Resulting Numbers: [89, 65]
Generated Node #3: [89, 65] from Operation: 130/2=65
Current State: 24:[89, 65], Operations: ['50+80=130', '130/2=65']
Exploring Operation: 89-65=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[89, 2, 50, 80], Operations: []
Exploring Operation: 80/2=40, Resulting Numbers: [89, 50, 40]
Generated Node #0,0: 24:[89, 50, 40] Operation: 80/2=40
Exploring Operation: 89-80=9, Resulting Numbers: [2, 50, 9]
Generated Node #0,1: 24:[2, 50, 9] Operation: 89-80=9
Exploring Operation: 80-50=30, Resulting Numbers: [89, 2, 30]
Generated Node #0,2: 24:[89, 2, 30] Operation: 80-50=30
Exploring Operation: 89-50=39, Resulting Numbers: [2, 80, 39]
Generated Node #0,3: 24:[2, 80, 39] Operation: 89-50=39
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[2, 50, 9], Operations: ['89-80=9']
Exploring Operation: 50/2=25, Resulting Numbers: [9, 25]
Generated Node #0,1,0: 24:[9, 25] Operation: 50/2=25
Exploring Operation: 50-2=48, Resulting Numbers: [9, 48]
Generated Node #0,1,1: 24:[9, 48] Operation: 50-2=48
Exploring Operation: 50-9=41, Resulting Numbers: [2, 41]
Generated Node #0,1,2: 24:[2, 41] Operation: 50-9=41
Exploring Operation: 2+9=11, Resulting Numbers: [50, 11]
Generated Node #0,1,3: 24:[50, 11] Operation: 2+9=11
Moving to Node #0,1,0
Current State: 24:[9, 25], Operations: ['89-80=9', '50/2=25']
Exploring Operation: 9+25=34, Resulting Numbers: [34]
34,24 unequal: No Solution
Exploring Operation: 9*25=225, Resulting Numbers: [225]
225,24 unequal: No Solution
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,24 unequal: No Solution
Moving to Node #0,1,2
Current State: 24:[2, 41], Operations: ['89-80=9', '50-9=41']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,24 unequal: No Solution
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,24 unequal: No Solution
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,24 unequal: No Solution
Moving to Node #0,1,1
Current State: 24:[9, 48], Operations: ['89-80=9', '50-2=48']
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,24 unequal: No Solution
Exploring Operation: 9+48=57, Resulting Numbers: [57]
57,24 unequal: No Solution
Exploring Operation: 9*48=432, Resulting Numbers: [432]
432,24 unequal: No Solution
Moving to Node #0,1,3
Current State: 24:[50, 11], Operations: ['89-80=9', '2+9=11']
Exploring Operation: 50*11=550, Resulting Numbers: [550]
550,24 unequal: No Solution
Exploring Operation: 50+11=61, Resulting Numbers: [61]
61,24 unequal: No Solution
Exploring Operation: 50-11=39, Resulting Numbers: [39]
39,24 unequal: No Solution
No 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: 24:[89, 2, 30], Operations: ['80-50=30']
Exploring Operation: 30-2=28, Resulting Numbers: [89, 28]
Generated Node #0,2,0: 24:[89, 28] Operation: 30-2=28
Exploring Operation: 30/2=15, Resulting Numbers: [89, 15]
Generated Node #0,2,1: 24:[89, 15] Operation: 30/2=15
Exploring Operation: 89-30=59, Resulting Numbers: [2, 59]
Generated Node #0,2,2: 24:[2, 59] Operation: 89-30=59
Exploring Operation: 89-2=87, Resulting Numbers: [30, 87]
Generated Node #0,2,3: 24:[30, 87] Operation: 89-2=87
Moving to Node #0,2,2
Current State: 24:[2, 59], Operations: ['80-50=30', '89-30=59']
Exploring Operation: 2*59=118, Resulting Numbers: [118]
118,24 unequal: No Solution
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,24 unequal: No Solution
Exploring Operation: 2+59=61, Resulting Numbers: [61]
61,24 unequal: No Solution
Moving to Node #0,2,1
Current State: 24:[89, 15], Operations: ['80-50=30', '30/2=15']
Exploring Operation: 89-15=74, Resulting Numbers: [74]
74,24 unequal: No Solution
Exploring Operation: 89*15=1335, Resulting Numbers: [1335]
1335,24 unequal: No Solution
Exploring Operation: 89+15=104, Resulting Numbers: [104]
104,24 unequal: No Solution
Moving to Node #0,2,3
Current State: 24:[30, 87], Operations: ['80-50=30', '89-2=87']
Exploring Operation: 30+87=117, Resulting Numbers: [117]
117,24 unequal: No Solution
Exploring Operation: 30*87=2610, Resulting Numbers: [2610]
2610,24 unequal: No Solution
Exploring Operation: 87-30=57, Resulting Numbers: [57]
57,24 unequal: No Solution
Moving to Node #0,2,0
Current State: 24:[89, 28], Operations: ['80-50=30', '30-2=28']
Exploring Operation: 89+28=117, Resulting Numbers: [117]
117,24 unequal: No Solution
Exploring Operation: 89-28=61, Resulting Numbers: [61]
61,24 unequal: No Solution
Exploring Operation: 89*28=2492, Resulting Numbers: [2492]
2492,24 unequal: No Solution
No 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: 24:[2, 80, 39], Operations: ['89-50=39']
Exploring Operation: 80/2=40, Resulting Numbers: [39, 40]
Generated Node #0,3,0: 24:[39, 40] Operation: 80/2=40
Exploring Operation: 39-2=37, Resulting Numbers: [80, 37]
Generated Node #0,3,1: 24:[80, 37] Operation: 39-2=37
Exploring Operation: 80-2=78, Resulting Numbers: [39, 78]
Generated Node #0,3,2: 24:[39, 78] Operation: 80-2=78
Exploring Operation: 80-39=41, Resulting Numbers: [2, 41]
Generated Node #0,3,3: 24:[2, 41] Operation: 80-39=41
Moving to Node #0,3,3
Current State: 24:[2, 41], Operations: ['89-50=39', '80-39=41']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,24 unequal: No Solution
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,24 unequal: No Solution
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,24 unequal: No Solution
Moving to Node #0,3,0
Current State: 24:[39, 40], Operations: ['89-50=39', '80/2=40']
Exploring Operation: 39*40=1560, Resulting Numbers: [1560]
1560,24 unequal: No Solution
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,24 unequal: No Solution
Exploring Operation: 39+40=79, Resulting Numbers: [79]
79,24 unequal: No Solution
Moving to Node #0,3,2
Current State: 24:[39, 78], Operations: ['89-50=39', '80-2=78']
Exploring Operation: 39+78=117, Resulting Numbers: [117]
117,24 unequal: No Solution
Exploring Operation: 78-39=39, Resulting Numbers: [39]
39,24 unequal: No Solution
Exploring Operation: 39*78=3042, Resulting Numbers: [3042]
3042,24 unequal: No Solution
Exploring Operation: 78/39=2, Resulting Numbers: [2]
2,24 unequal: No Solution
Moving to Node #0,3,1
Current State: 24:[80, 37], Operations: ['89-50=39', '39-2=37']
Exploring Operation: 80-37=43, Resulting Numbers: [43]
43,24 unequal: No Solution
Exploring Operation: 80+37=117, Resulting Numbers: [117]
117,24 unequal: No Solution
Exploring Operation: 80*37=2960, Resulting Numbers: [2960]
2960,24 unequal: No Solution
No 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: 24:[89, 50, 40], Operations: ['80/2=40']
Exploring Operation: 89-40=49, Resulting Numbers: [50, 49]
Generated Node #0,0,0: 24:[50, 49] Operation: 89-40=49
Exploring Operation: 50-40=10, Resulting Numbers: [89, 10]
Generated Node #0,0,1: 24:[89, 10] Operation: 50-40=10
Exploring Operation: 89-50=39, Resulting Numbers: [40, 39]
Generated Node #0,0,2: 24:[40, 39] Operation: 89-50=39
Exploring Operation: 89+50=139, Resulting Numbers: [40, 139]
Generated Node #0,0,3: 24:[40, 139] Operation: 89+50=139
Moving to Node #0,0,2
Current State: 24:[40, 39], Operations: ['80/2=40', '89-50=39']
Exploring Operation: 40*39=1560, Resulting Numbers: [1560]
1560,24 unequal: No Solution
Exploring Operation: 40+39=79, Resulting Numbers: [79]
79,24 unequal: No Solution
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,24 unequal: No Solution
Moving to Node #0,0,0
Current State: 24:[50, 49], Operations: ['80/2=40', '89-40=49']
Exploring Operation: 50-49=1, Resulting Numbers: [1]
1,24 unequal: No Solution
Exploring Operation: 50+49=99, Resulting Numbers: [99]
99,24 unequal: No Solution
Exploring Operation: 50*49=2450, Resulting Numbers: [2450]
2450,24 unequal: No Solution
Moving to Node #0,0,1
Current State: 24:[89, 10], Operations: ['80/2=40', '50-40=10']
Exploring Operation: 89*10=890, Resulting Numbers: [890]
890,24 unequal: No Solution
Exploring Operation: 89+10=99, Resulting Numbers: [99]
99,24 unequal: No Solution
Exploring Operation: 89-10=79, Resulting Numbers: [79]
79,24 unequal: No Solution
Moving to Node #0,0,3
Current State: 24:[40, 139], Operations: ['80/2=40', '89+50=139']
Exploring Operation: 40+139=179, Resulting Numbers: [179]
179,24 unequal: No Solution
Exploring Operation: 40*139=5560, Resulting Numbers: [5560]
5560,24 unequal: No Solution
Exploring Operation: 139-40=99, Resulting Numbers: [99]
99,24 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 |
[
13,
63,
27,
87
] | 16 | [
"13+63=76",
"87-27=60",
"76-60=16"
] | Current State: 16:[13, 63, 27, 87], Operations: []
Exploring Operation: 13+63=76, Resulting Numbers: [27, 87, 76]
Generated Node #2: [27, 87, 76] from Operation: 13+63=76
Current State: 16:[27, 87, 76], Operations: ['13+63=76']
Exploring Operation: 87-27=60, Resulting Numbers: [76, 60]
Generated Node #3: [76, 60] from Operation: 87-27=60
Current State: 16:[76, 60], Operations: ['13+63=76', '87-27=60']
Exploring Operation: 76-60=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[13, 63, 27, 87], Operations: []
Exploring Operation: 87-63=24, Resulting Numbers: [13, 27, 24]
Generated Node #0,0: 16:[13, 27, 24] Operation: 87-63=24
Exploring Operation: 87-27=60, Resulting Numbers: [13, 63, 60]
Generated Node #0,1: 16:[13, 63, 60] Operation: 87-27=60
Exploring Operation: 63-13=50, Resulting Numbers: [27, 87, 50]
Generated Node #0,2: 16:[27, 87, 50] Operation: 63-13=50
Exploring Operation: 63-27=36, Resulting Numbers: [13, 87, 36]
Generated Node #0,3: 16:[13, 87, 36] Operation: 63-27=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[13, 27, 24], Operations: ['87-63=24']
Exploring Operation: 27-24=3, Resulting Numbers: [13, 3]
Generated Node #0,0,0: 16:[13, 3] Operation: 27-24=3
Exploring Operation: 13+27=40, Resulting Numbers: [24, 40]
Generated Node #0,0,1: 16:[24, 40] Operation: 13+27=40
Exploring Operation: 24-13=11, Resulting Numbers: [27, 11]
Generated Node #0,0,2: 16:[27, 11] Operation: 24-13=11
Exploring Operation: 27-13=14, Resulting Numbers: [24, 14]
Generated Node #0,0,3: 16:[24, 14] Operation: 27-13=14
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 16:[13, 3], Operations: ['87-63=24', '27-24=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[13, 63, 27, 87], Operations: []
Exploring Operation: 87-63=24, Resulting Numbers: [13, 27, 24]
Generated Node #0,0: 16:[13, 27, 24] Operation: 87-63=24
Moving to Node #0,0
Current State: 16:[13, 27, 24], Operations: ['87-63=24']
Exploring Operation: 27-24=3, Resulting Numbers: [13, 3]
Generated Node #0,0,0: 16:[13, 3] Operation: 27-24=3
Moving to Node #0,0,0
Current State: 16:[13, 3], Operations: ['87-63=24', '27-24=3']
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
36,
3,
55,
17
] | 12 | [
"55-36=19",
"17+19=36",
"36/3=12"
] | Current State: 12:[36, 3, 55, 17], Operations: []
Exploring Operation: 55-36=19, Resulting Numbers: [3, 17, 19]
Generated Node #2: [3, 17, 19] from Operation: 55-36=19
Current State: 12:[3, 17, 19], Operations: ['55-36=19']
Exploring Operation: 17+19=36, Resulting Numbers: [3, 36]
Generated Node #3: [3, 36] from Operation: 17+19=36
Current State: 12:[3, 36], Operations: ['55-36=19', '17+19=36']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[36, 3, 55, 17], Operations: []
Exploring Operation: 36/3=12, Resulting Numbers: [55, 17, 12]
Generated Node #0,0: 12:[55, 17, 12] Operation: 36/3=12
Exploring Operation: 55-36=19, Resulting Numbers: [3, 17, 19]
Generated Node #0,1: 12:[3, 17, 19] Operation: 55-36=19
Moving to Node #0,1
Current State: 12:[3, 17, 19], Operations: ['55-36=19']
Exploring Operation: 19-17=2, Resulting Numbers: [3, 2]
Generated Node #0,1,0: 12:[3, 2] Operation: 19-17=2
Exploring Operation: 17-3=14, Resulting Numbers: [19, 14]
Generated Node #0,1,1: 12:[19, 14] Operation: 17-3=14
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 12:[3, 2], Operations: ['55-36=19', '19-17=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,12 unequal: No Solution
No 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: 12:[19, 14], Operations: ['55-36=19', '17-3=14']
Exploring Operation: 19-14=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 19+14=33, Resulting Numbers: [33]
33,12 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: 12:[55, 17, 12], Operations: ['36/3=12']
Exploring Operation: 55-17=38, Resulting Numbers: [12, 38]
Generated Node #0,0,0: 12:[12, 38] Operation: 55-17=38
Exploring Operation: 55-12=43, Resulting Numbers: [17, 43]
Generated Node #0,0,1: 12:[17, 43] Operation: 55-12=43
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 12:[12, 38], Operations: ['36/3=12', '55-17=38']
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,12 unequal: No Solution
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,12 unequal: No Solution
No 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: 12:[17, 43], Operations: ['36/3=12', '55-12=43']
Exploring Operation: 43-17=26, Resulting Numbers: [26]
26,12 unequal: No Solution
Exploring Operation: 17+43=60, Resulting Numbers: [60]
60,12 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 |
[
61,
94,
54,
90
] | 69 | [
"94-61=33",
"90-54=36",
"33+36=69"
] | Current State: 69:[61, 94, 54, 90], Operations: []
Exploring Operation: 94-61=33, Resulting Numbers: [54, 90, 33]
Generated Node #2: [54, 90, 33] from Operation: 94-61=33
Current State: 69:[54, 90, 33], Operations: ['94-61=33']
Exploring Operation: 90-54=36, Resulting Numbers: [33, 36]
Generated Node #3: [33, 36] from Operation: 90-54=36
Current State: 69:[33, 36], Operations: ['94-61=33', '90-54=36']
Exploring Operation: 33+36=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[61, 94, 54, 90], Operations: []
Exploring Operation: 94-90=4, Resulting Numbers: [61, 54, 4]
Generated Node #0,0: 69:[61, 54, 4] Operation: 94-90=4
Moving to Node #0,0
Current State: 69:[61, 54, 4], Operations: ['94-90=4']
Exploring Operation: 61-54=7, Resulting Numbers: [4, 7]
Generated Node #0,0,0: 69:[4, 7] Operation: 61-54=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[4, 7], Operations: ['94-90=4', '61-54=7']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
2,
46,
4,
16
] | 26 | [
"2+16=18",
"4*18=72",
"72-46=26"
] | Current State: 26:[2, 46, 4, 16], Operations: []
Exploring Operation: 2+16=18, Resulting Numbers: [46, 4, 18]
Generated Node #2: [46, 4, 18] from Operation: 2+16=18
Current State: 26:[46, 4, 18], Operations: ['2+16=18']
Exploring Operation: 4*18=72, Resulting Numbers: [46, 72]
Generated Node #3: [46, 72] from Operation: 4*18=72
Current State: 26:[46, 72], Operations: ['2+16=18', '4*18=72']
Exploring Operation: 72-46=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[2, 46, 4, 16], Operations: []
Exploring Operation: 46/2=23, Resulting Numbers: [4, 16, 23]
Generated Node #0,0: 26:[4, 16, 23] Operation: 46/2=23
Exploring Operation: 46-16=30, Resulting Numbers: [2, 4, 30]
Generated Node #0,1: 26:[2, 4, 30] Operation: 46-16=30
Exploring Operation: 46-4=42, Resulting Numbers: [2, 16, 42]
Generated Node #0,2: 26:[2, 16, 42] Operation: 46-4=42
Exploring Operation: 16-4=12, Resulting Numbers: [2, 46, 12]
Generated Node #0,3: 26:[2, 46, 12] Operation: 16-4=12
Exploring Operation: 16/4=4, Resulting Numbers: [2, 46, 4]
Generated Node #0,4: 26:[2, 46, 4] Operation: 16/4=4
Moving to Node #0,1
Current State: 26:[2, 4, 30], Operations: ['46-16=30']
Exploring Operation: 4-2=2, Resulting Numbers: [30, 2]
Generated Node #0,1,0: 26:[30, 2] Operation: 4-2=2
Exploring Operation: 30/2=15, Resulting Numbers: [4, 15]
Generated Node #0,1,1: 26:[4, 15] Operation: 30/2=15
Exploring Operation: 4/2=2, Resulting Numbers: [30, 2]
Generated Node #0,1,2: 26:[30, 2] Operation: 4/2=2
Exploring Operation: 30-2=28, Resulting Numbers: [4, 28]
Generated Node #0,1,3: 26:[4, 28] Operation: 30-2=28
Exploring Operation: 30-4=26, Resulting Numbers: [2, 26]
Generated Node #0,1,4: 26:[2, 26] Operation: 30-4=26
Moving to Node #0,0
Current State: 26:[4, 16, 23], Operations: ['46/2=23']
Exploring Operation: 4+23=27, Resulting Numbers: [16, 27]
Generated Node #0,0,0: 26:[16, 27] Operation: 4+23=27
Exploring Operation: 23-16=7, Resulting Numbers: [4, 7]
Generated Node #0,0,1: 26:[4, 7] Operation: 23-16=7
Exploring Operation: 16/4=4, Resulting Numbers: [23, 4]
Generated Node #0,0,2: 26:[23, 4] Operation: 16/4=4
Exploring Operation: 4+16=20, Resulting Numbers: [23, 20]
Generated Node #0,0,3: 26:[23, 20] Operation: 4+16=20
Exploring Operation: 16-4=12, Resulting Numbers: [23, 12]
Generated Node #0,0,4: 26:[23, 12] Operation: 16-4=12
Moving to Node #0,2
Current State: 26:[2, 16, 42], Operations: ['46-4=42']
Exploring Operation: 16-2=14, Resulting Numbers: [42, 14]
Generated Node #0,2,0: 26:[42, 14] Operation: 16-2=14
Exploring Operation: 42-16=26, Resulting Numbers: [2, 26]
Generated Node #0,2,1: 26:[2, 26] Operation: 42-16=26
Exploring Operation: 42/2=21, Resulting Numbers: [16, 21]
Generated Node #0,2,2: 26:[16, 21] Operation: 42/2=21
Exploring Operation: 2+16=18, Resulting Numbers: [42, 18]
Generated Node #0,2,3: 26:[42, 18] Operation: 2+16=18
Exploring Operation: 42-2=40, Resulting Numbers: [16, 40]
Generated Node #0,2,4: 26:[16, 40] Operation: 42-2=40
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 26:[2, 26], Operations: ['46-4=42', '42-16=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,26 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,26 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 26:[16, 21], Operations: ['46-4=42', '42/2=21']
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,26 unequal: No Solution
Exploring Operation: 16*21=336, Resulting Numbers: [336]
336,26 unequal: No Solution
Exploring Operation: 16+21=37, Resulting Numbers: [37]
37,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 26:[42, 14], Operations: ['46-4=42', '16-2=14']
Exploring Operation: 42+14=56, Resulting Numbers: [56]
56,26 unequal: No Solution
Exploring Operation: 42/14=3, Resulting Numbers: [3]
3,26 unequal: No Solution
Exploring Operation: 42*14=588, Resulting Numbers: [588]
588,26 unequal: No Solution
Exploring Operation: 42-14=28, Resulting Numbers: [28]
28,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 26:[16, 40], Operations: ['46-4=42', '42-2=40']
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Exploring Operation: 16+40=56, Resulting Numbers: [56]
56,26 unequal: No Solution
Exploring Operation: 16*40=640, Resulting Numbers: [640]
640,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 26:[42, 18], Operations: ['46-4=42', '2+16=18']
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Exploring Operation: 42+18=60, Resulting Numbers: [60]
60,26 unequal: No Solution
Exploring Operation: 42*18=756, Resulting Numbers: [756]
756,26 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: 26:[2, 46, 12], Operations: ['16-4=12']
Exploring Operation: 2+12=14, Resulting Numbers: [46, 14]
Generated Node #0,3,0: 26:[46, 14] Operation: 2+12=14
Exploring Operation: 46-2=44, Resulting Numbers: [12, 44]
Generated Node #0,3,1: 26:[12, 44] Operation: 46-2=44
Exploring Operation: 46/2=23, Resulting Numbers: [12, 23]
Generated Node #0,3,2: 26:[12, 23] Operation: 46/2=23
Exploring Operation: 46-12=34, Resulting Numbers: [2, 34]
Generated Node #0,3,3: 26:[2, 34] Operation: 46-12=34
Exploring Operation: 2*12=24, Resulting Numbers: [46, 24]
Generated Node #0,3,4: 26:[46, 24] Operation: 2*12=24
Moving to Node #0,4
Current State: 26:[2, 46, 4], Operations: ['16/4=4']
Exploring Operation: 46-2=44, Resulting Numbers: [4, 44]
Generated Node #0,4,0: 26:[4, 44] Operation: 46-2=44
Exploring Operation: 4/2=2, Resulting Numbers: [46, 2]
Generated Node #0,4,1: 26:[46, 2] Operation: 4/2=2
Exploring Operation: 46/2=23, Resulting Numbers: [4, 23]
Generated Node #0,4,2: 26:[4, 23] Operation: 46/2=23
Exploring Operation: 4-2=2, Resulting Numbers: [46, 2]
Generated Node #0,4,3: 26:[46, 2] Operation: 4-2=2
Exploring Operation: 46-4=42, Resulting Numbers: [2, 42]
Generated Node #0,4,4: 26:[2, 42] Operation: 46-4=42
Moving to Node #0,1,4
Current State: 26:[2, 26], Operations: ['46-16=30', '30-4=26']
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,26 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,26 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,26 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Moving to Node #0,1,1
Current State: 26:[4, 15], Operations: ['46-16=30', '30/2=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,26 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,26 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Moving to Node #0,0,4
Current State: 26:[23, 12], Operations: ['46/2=23', '16-4=12']
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,26 unequal: No Solution
Exploring Operation: 23*12=276, Resulting Numbers: [276]
276,26 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[16, 27], Operations: ['46/2=23', '4+23=27']
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 16+27=43, Resulting Numbers: [43]
43,26 unequal: No Solution
Exploring Operation: 16*27=432, Resulting Numbers: [432]
432,26 unequal: No Solution
Moving to Node #0,1,0
Current State: 26:[30, 2], Operations: ['46-16=30', '4-2=2']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,26 unequal: No Solution
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,26 unequal: No Solution
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,26 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,26 unequal: No Solution
Moving to Node #0,1,3
Current State: 26:[4, 28], Operations: ['46-16=30', '30-2=28']
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,26 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,26 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Exploring Operation: 4*28=112, Resulting Numbers: [112]
112,26 unequal: No Solution
Moving to Node #0,3,2
Current State: 26:[12, 23], Operations: ['16-4=12', '46/2=23']
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,26 unequal: No Solution
Exploring Operation: 12*23=276, Resulting Numbers: [276]
276,26 unequal: No Solution
Moving to Node #0,1,2
Current State: 26:[30, 2], Operations: ['46-16=30', '4/2=2']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,26 unequal: No Solution
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,26 unequal: No Solution
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,26 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,26 unequal: No Solution
Moving to Node #0,4,2
Current State: 26:[4, 23], Operations: ['16/4=4', '46/2=23']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,26 unequal: No Solution
Exploring Operation: 4+23=27, Resulting Numbers: [27]
27,26 unequal: No Solution
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,26 unequal: No Solution
Moving to Node #0,0,2
Current State: 26:[23, 4], Operations: ['46/2=23', '16/4=4']
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,26 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,26 unequal: No Solution
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,26 unequal: No Solution
Moving to Node #0,0,1
Current State: 26:[4, 7], Operations: ['46/2=23', '23-16=7']
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,26 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,26 unequal: No Solution
Moving to Node #0,3,3
Current State: 26:[2, 34], Operations: ['16-4=12', '46-12=34']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,26 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,26 unequal: No Solution
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,26 unequal: No Solution
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,26 unequal: No Solution
Moving to Node #0,0,3
Current State: 26:[23, 20], Operations: ['46/2=23', '4+16=20']
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,26 unequal: No Solution
Exploring Operation: 23*20=460, Resulting Numbers: [460]
460,26 unequal: No Solution
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,26 unequal: No Solution
Moving to Node #0,4,4
Current State: 26:[2, 42], Operations: ['16/4=4', '46-4=42']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,26 unequal: No Solution
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,26 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,26 unequal: No Solution
Exploring Operation: 2+42=44, Resulting Numbers: [44]
44,26 unequal: No Solution
Moving to Node #0,3,1
Current State: 26:[12, 44], Operations: ['16-4=12', '46-2=44']
Exploring Operation: 12+44=56, Resulting Numbers: [56]
56,26 unequal: No Solution
Exploring Operation: 44-12=32, Resulting Numbers: [32]
32,26 unequal: No Solution
Exploring Operation: 12*44=528, Resulting Numbers: [528]
528,26 unequal: No Solution
Moving to Node #0,4,3
Current State: 26:[46, 2], Operations: ['16/4=4', '4-2=2']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,26 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,26 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,26 unequal: No Solution
Moving to Node #0,4,1
Current State: 26:[46, 2], Operations: ['16/4=4', '4/2=2']
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,26 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,26 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,26 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Moving to Node #0,4,0
Current State: 26:[4, 44], Operations: ['16/4=4', '46-2=44']
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,26 unequal: No Solution
Exploring Operation: 4*44=176, Resulting Numbers: [176]
176,26 unequal: No Solution
Exploring Operation: 4+44=48, Resulting Numbers: [48]
48,26 unequal: No Solution
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Moving to Node #0,3,0
Current State: 26:[46, 14], Operations: ['16-4=12', '2+12=14']
Exploring Operation: 46+14=60, Resulting Numbers: [60]
60,26 unequal: No Solution
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,26 unequal: No Solution
Exploring Operation: 46*14=644, Resulting Numbers: [644]
644,26 unequal: No Solution
Moving to Node #0,3,4
Current State: 26:[46, 24], Operations: ['16-4=12', '2*12=24']
Exploring Operation: 46+24=70, Resulting Numbers: [70]
70,26 unequal: No Solution
Exploring Operation: 46*24=1104, Resulting Numbers: [1104]
1104,26 unequal: No Solution
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,26 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
14,
41,
34,
96
] | 39 | [
"14+34=48",
"96/48=2",
"41-2=39"
] | Current State: 39:[14, 41, 34, 96], Operations: []
Exploring Operation: 14+34=48, Resulting Numbers: [41, 96, 48]
Generated Node #2: [41, 96, 48] from Operation: 14+34=48
Current State: 39:[41, 96, 48], Operations: ['14+34=48']
Exploring Operation: 96/48=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 96/48=2
Current State: 39:[41, 2], Operations: ['14+34=48', '96/48=2']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[14, 41, 34, 96], Operations: []
Exploring Operation: 96-41=55, Resulting Numbers: [14, 34, 55]
Generated Node #0,0: 39:[14, 34, 55] Operation: 96-41=55
Moving to Node #0,0
Current State: 39:[14, 34, 55], Operations: ['96-41=55']
Exploring Operation: 55-14=41, Resulting Numbers: [34, 41]
Generated Node #0,0,0: 39:[34, 41] Operation: 55-14=41
Moving to Node #0,0,0
Current State: 39:[34, 41], Operations: ['96-41=55', '55-14=41']
Exploring Operation: 41-34=7, Resulting Numbers: [7]
7,39 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
75,
23,
92,
21
] | 19 | [
"75-23=52",
"92-21=71",
"71-52=19"
] | Current State: 19:[75, 23, 92, 21], Operations: []
Exploring Operation: 75-23=52, Resulting Numbers: [92, 21, 52]
Generated Node #2: [92, 21, 52] from Operation: 75-23=52
Current State: 19:[92, 21, 52], Operations: ['75-23=52']
Exploring Operation: 92-21=71, Resulting Numbers: [52, 71]
Generated Node #3: [52, 71] from Operation: 92-21=71
Current State: 19:[52, 71], Operations: ['75-23=52', '92-21=71']
Exploring Operation: 71-52=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[75, 23, 92, 21], Operations: []
Exploring Operation: 75-23=52, Resulting Numbers: [92, 21, 52]
Generated Node #0,0: 19:[92, 21, 52] Operation: 75-23=52
Exploring Operation: 92-75=17, Resulting Numbers: [23, 21, 17]
Generated Node #0,1: 19:[23, 21, 17] Operation: 92-75=17
Exploring Operation: 75-21=54, Resulting Numbers: [23, 92, 54]
Generated Node #0,2: 19:[23, 92, 54] Operation: 75-21=54
Exploring Operation: 92/23=4, Resulting Numbers: [75, 21, 4]
Generated Node #0,3: 19:[75, 21, 4] Operation: 92/23=4
Exploring Operation: 92-23=69, Resulting Numbers: [75, 21, 69]
Generated Node #0,4: 19:[75, 21, 69] Operation: 92-23=69
Moving to Node #0,1
Current State: 19:[23, 21, 17], Operations: ['92-75=17']
Exploring Operation: 21+17=38, Resulting Numbers: [23, 38]
Generated Node #0,1,0: 19:[23, 38] Operation: 21+17=38
Exploring Operation: 23-21=2, Resulting Numbers: [17, 2]
Generated Node #0,1,1: 19:[17, 2] Operation: 23-21=2
Exploring Operation: 23+17=40, Resulting Numbers: [21, 40]
Generated Node #0,1,2: 19:[21, 40] Operation: 23+17=40
Exploring Operation: 23-17=6, Resulting Numbers: [21, 6]
Generated Node #0,1,3: 19:[21, 6] Operation: 23-17=6
Exploring Operation: 21-17=4, Resulting Numbers: [23, 4]
Generated Node #0,1,4: 19:[23, 4] Operation: 21-17=4
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 19:[21, 6], Operations: ['92-75=17', '23-17=6']
Exploring Operation: 21+6=27, Resulting Numbers: [27]
27,19 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,19 unequal: No Solution
Exploring Operation: 21*6=126, Resulting Numbers: [126]
126,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 19:[17, 2], Operations: ['92-75=17', '23-21=2']
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,19 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,19 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[75, 23, 92, 21], Operations: []
Exploring Operation: 92-75=17, Resulting Numbers: [23, 21, 17]
Generated Node #0,1: 19:[23, 21, 17] Operation: 92-75=17
Moving to Node #0,1
Current State: 19:[23, 21, 17], Operations: ['92-75=17']
Exploring Operation: 23-21=2, Resulting Numbers: [17, 2]
Generated Node #0,1,1: 19:[17, 2] Operation: 23-21=2
Moving to Node #0,1,1
Current State: 19:[17, 2], Operations: ['92-75=17', '23-21=2']
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
26,
18,
49,
68
] | 73 | [
"26+18=44",
"49+68=117",
"117-44=73"
] | Current State: 73:[26, 18, 49, 68], Operations: []
Exploring Operation: 26+18=44, Resulting Numbers: [49, 68, 44]
Generated Node #2: [49, 68, 44] from Operation: 26+18=44
Current State: 73:[49, 68, 44], Operations: ['26+18=44']
Exploring Operation: 49+68=117, Resulting Numbers: [44, 117]
Generated Node #3: [44, 117] from Operation: 49+68=117
Current State: 73:[44, 117], Operations: ['26+18=44', '49+68=117']
Exploring Operation: 117-44=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[26, 18, 49, 68], Operations: []
Exploring Operation: 26+18=44, Resulting Numbers: [49, 68, 44]
Generated Node #0,0: 73:[49, 68, 44] Operation: 26+18=44
Exploring Operation: 18+49=67, Resulting Numbers: [26, 68, 67]
Generated Node #0,1: 73:[26, 68, 67] Operation: 18+49=67
Moving to Node #0,0
Current State: 73:[49, 68, 44], Operations: ['26+18=44']
Exploring Operation: 49+44=93, Resulting Numbers: [68, 93]
Generated Node #0,0,0: 73:[68, 93] Operation: 49+44=93
Exploring Operation: 68+44=112, Resulting Numbers: [49, 112]
Generated Node #0,0,1: 73:[49, 112] Operation: 68+44=112
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[68, 93], Operations: ['26+18=44', '49+44=93']
Exploring Operation: 68+93=161, Resulting Numbers: [161]
161,73 unequal: No Solution
Exploring Operation: 93-68=25, Resulting Numbers: [25]
25,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 73:[49, 112], Operations: ['26+18=44', '68+44=112']
Exploring Operation: 49+112=161, Resulting Numbers: [161]
161,73 unequal: No Solution
Exploring Operation: 112-49=63, Resulting Numbers: [63]
63,73 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: 73:[26, 68, 67], Operations: ['18+49=67']
Exploring Operation: 26+68=94, Resulting Numbers: [67, 94]
Generated Node #0,1,0: 73:[67, 94] Operation: 26+68=94
Exploring Operation: 26+67=93, Resulting Numbers: [68, 93]
Generated Node #0,1,1: 73:[68, 93] Operation: 26+67=93
Moving to Node #0,1,1
Current State: 73:[68, 93], Operations: ['18+49=67', '26+67=93']
Exploring Operation: 93-68=25, Resulting Numbers: [25]
25,73 unequal: No Solution
Exploring Operation: 68+93=161, Resulting Numbers: [161]
161,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[67, 94], Operations: ['18+49=67', '26+68=94']
Exploring Operation: 67+94=161, Resulting Numbers: [161]
161,73 unequal: No Solution
Exploring Operation: 94-67=27, Resulting Numbers: [27]
27,73 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
33,
1,
22,
63
] | 99 | [
"33*63=2079",
"22-1=21",
"2079/21=99"
] | Current State: 99:[33, 1, 22, 63], Operations: []
Exploring Operation: 33*63=2079, Resulting Numbers: [1, 22, 2079]
Generated Node #2: [1, 22, 2079] from Operation: 33*63=2079
Current State: 99:[1, 22, 2079], Operations: ['33*63=2079']
Exploring Operation: 22-1=21, Resulting Numbers: [2079, 21]
Generated Node #3: [2079, 21] from Operation: 22-1=21
Current State: 99:[2079, 21], Operations: ['33*63=2079', '22-1=21']
Exploring Operation: 2079/21=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[33, 1, 22, 63], Operations: []
Exploring Operation: 63-33=30, Resulting Numbers: [1, 22, 30]
Generated Node #0,0: 99:[1, 22, 30] Operation: 63-33=30
Exploring Operation: 33+63=96, Resulting Numbers: [1, 22, 96]
Generated Node #0,1: 99:[1, 22, 96] Operation: 33+63=96
Exploring Operation: 63-22=41, Resulting Numbers: [33, 1, 41]
Generated Node #0,2: 99:[33, 1, 41] Operation: 63-22=41
Start Sub Search at level 1: Moving to Node #0,2
Current State: 99:[33, 1, 41], Operations: ['63-22=41']
Exploring Operation: 41-33=8, Resulting Numbers: [1, 8]
Generated Node #0,2,0: 99:[1, 8] Operation: 41-33=8
Exploring Operation: 33*1=33, Resulting Numbers: [41, 33]
Generated Node #0,2,1: 99:[41, 33] Operation: 33*1=33
Exploring Operation: 41-1=40, Resulting Numbers: [33, 40]
Generated Node #0,2,2: 99:[33, 40] Operation: 41-1=40
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 99:[1, 8], Operations: ['63-22=41', '41-33=8']
Exploring Operation: 1*8=8, Resulting Numbers: [8]
8,99 unequal: No Solution
Exploring Operation: 1+8=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 99:[33, 40], Operations: ['63-22=41', '41-1=40']
Exploring Operation: 33+40=73, Resulting Numbers: [73]
73,99 unequal: No Solution
Exploring Operation: 33*40=1320, Resulting Numbers: [1320]
1320,99 unequal: No Solution
Exploring Operation: 40-33=7, Resulting Numbers: [7]
7,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 99:[41, 33], Operations: ['63-22=41', '33*1=33']
Exploring Operation: 41-33=8, Resulting Numbers: [8]
8,99 unequal: No Solution
Exploring Operation: 41*33=1353, Resulting Numbers: [1353]
1353,99 unequal: No Solution
Exploring Operation: 41+33=74, Resulting Numbers: [74]
74,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[1, 22, 30], Operations: ['63-33=30']
Exploring Operation: 30-22=8, Resulting Numbers: [1, 8]
Generated Node #0,0,0: 99:[1, 8] Operation: 30-22=8
Exploring Operation: 22-1=21, Resulting Numbers: [30, 21]
Generated Node #0,0,1: 99:[30, 21] Operation: 22-1=21
Exploring Operation: 1+22=23, Resulting Numbers: [30, 23]
Generated Node #0,0,2: 99:[30, 23] Operation: 1+22=23
Moving to Node #0,0,0
Current State: 99:[1, 8], Operations: ['63-33=30', '30-22=8']
Exploring Operation: 1+8=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,99 unequal: No Solution
Exploring Operation: 1*8=8, Resulting Numbers: [8]
8,99 unequal: No Solution
Moving to Node #0,0,1
Current State: 99:[30, 21], Operations: ['63-33=30', '22-1=21']
Exploring Operation: 30*21=630, Resulting Numbers: [630]
630,99 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,99 unequal: No Solution
Moving to Node #0,0,2
Current State: 99:[30, 23], Operations: ['63-33=30', '1+22=23']
Exploring Operation: 30*23=690, Resulting Numbers: [690]
690,99 unequal: No Solution
Exploring Operation: 30+23=53, Resulting Numbers: [53]
53,99 unequal: No Solution
Exploring Operation: 30-23=7, Resulting Numbers: [7]
7,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[1, 22, 96], Operations: ['33+63=96']
Exploring Operation: 1+96=97, Resulting Numbers: [22, 97]
Generated Node #0,1,0: 99:[22, 97] Operation: 1+96=97
Exploring Operation: 22-1=21, Resulting Numbers: [96, 21]
Generated Node #0,1,1: 99:[96, 21] Operation: 22-1=21
Exploring Operation: 1+22=23, Resulting Numbers: [96, 23]
Generated Node #0,1,2: 99:[96, 23] Operation: 1+22=23
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 99:[22, 97], Operations: ['33+63=96', '1+96=97']
Exploring Operation: 97-22=75, Resulting Numbers: [75]
75,99 unequal: No Solution
Exploring Operation: 22*97=2134, Resulting Numbers: [2134]
2134,99 unequal: No Solution
Exploring Operation: 22+97=119, Resulting Numbers: [119]
119,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 99:[96, 21], Operations: ['33+63=96', '22-1=21']
Exploring Operation: 96+21=117, Resulting Numbers: [117]
117,99 unequal: No Solution
Exploring Operation: 96-21=75, Resulting Numbers: [75]
75,99 unequal: No Solution
Exploring Operation: 96*21=2016, Resulting Numbers: [2016]
2016,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 99:[96, 23], Operations: ['33+63=96', '1+22=23']
Exploring Operation: 96*23=2208, Resulting Numbers: [2208]
2208,99 unequal: No Solution
Exploring Operation: 96-23=73, Resulting Numbers: [73]
73,99 unequal: No Solution
Exploring Operation: 96+23=119, Resulting Numbers: [119]
119,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
35,
73,
37,
5
] | 77 | [
"35+73=108",
"37*5=185",
"185-108=77"
] | Current State: 77:[35, 73, 37, 5], Operations: []
Exploring Operation: 35+73=108, Resulting Numbers: [37, 5, 108]
Generated Node #2: [37, 5, 108] from Operation: 35+73=108
Current State: 77:[37, 5, 108], Operations: ['35+73=108']
Exploring Operation: 37*5=185, Resulting Numbers: [108, 185]
Generated Node #3: [108, 185] from Operation: 37*5=185
Current State: 77:[108, 185], Operations: ['35+73=108', '37*5=185']
Exploring Operation: 185-108=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[35, 73, 37, 5], Operations: []
Exploring Operation: 35-5=30, Resulting Numbers: [73, 37, 30]
Generated Node #0,0: 77:[73, 37, 30] Operation: 35-5=30
Exploring Operation: 37-35=2, Resulting Numbers: [73, 5, 2]
Generated Node #0,1: 77:[73, 5, 2] Operation: 37-35=2
Exploring Operation: 35/5=7, Resulting Numbers: [73, 37, 7]
Generated Node #0,2: 77:[73, 37, 7] Operation: 35/5=7
Exploring Operation: 35+37=72, Resulting Numbers: [73, 5, 72]
Generated Node #0,3: 77:[73, 5, 72] Operation: 35+37=72
Moving to Node #0,1
Current State: 77:[73, 5, 2], Operations: ['37-35=2']
Exploring Operation: 5+2=7, Resulting Numbers: [73, 7]
Generated Node #0,1,0: 77:[73, 7] Operation: 5+2=7
Exploring Operation: 73+2=75, Resulting Numbers: [5, 75]
Generated Node #0,1,1: 77:[5, 75] Operation: 73+2=75
Exploring Operation: 73+5=78, Resulting Numbers: [2, 78]
Generated Node #0,1,2: 77:[2, 78] Operation: 73+5=78
Exploring Operation: 5*2=10, Resulting Numbers: [73, 10]
Generated Node #0,1,3: 77:[73, 10] Operation: 5*2=10
Moving to Node #0,3
Current State: 77:[73, 5, 72], Operations: ['35+37=72']
Exploring Operation: 73+5=78, Resulting Numbers: [72, 78]
Generated Node #0,3,0: 77:[72, 78] Operation: 73+5=78
Exploring Operation: 73-5=68, Resulting Numbers: [72, 68]
Generated Node #0,3,1: 77:[72, 68] Operation: 73-5=68
Exploring Operation: 73-72=1, Resulting Numbers: [5, 1]
Generated Node #0,3,2: 77:[5, 1] Operation: 73-72=1
Exploring Operation: 5+72=77, Resulting Numbers: [73, 77]
Generated Node #0,3,3: 77:[73, 77] Operation: 5+72=77
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 77:[73, 77], Operations: ['35+37=72', '5+72=77']
Exploring Operation: 73*77=5621, Resulting Numbers: [5621]
5621,77 unequal: No Solution
Exploring Operation: 73+77=150, Resulting Numbers: [150]
150,77 unequal: No Solution
Exploring Operation: 77-73=4, Resulting Numbers: [4]
4,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 77:[72, 78], Operations: ['35+37=72', '73+5=78']
Exploring Operation: 72*78=5616, Resulting Numbers: [5616]
5616,77 unequal: No Solution
Exploring Operation: 78-72=6, Resulting Numbers: [6]
6,77 unequal: No Solution
Exploring Operation: 72+78=150, Resulting Numbers: [150]
150,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 77:[5, 1], Operations: ['35+37=72', '73-72=1']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,77 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,77 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 77:[72, 68], Operations: ['35+37=72', '73-5=68']
Exploring Operation: 72-68=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 72+68=140, Resulting Numbers: [140]
140,77 unequal: No Solution
Exploring Operation: 72*68=4896, Resulting Numbers: [4896]
4896,77 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: 77:[73, 37, 7], Operations: ['35/5=7']
Exploring Operation: 73+7=80, Resulting Numbers: [37, 80]
Generated Node #0,2,0: 77:[37, 80] Operation: 73+7=80
Exploring Operation: 37-7=30, Resulting Numbers: [73, 30]
Generated Node #0,2,1: 77:[73, 30] Operation: 37-7=30
Exploring Operation: 73-37=36, Resulting Numbers: [7, 36]
Generated Node #0,2,2: 77:[7, 36] Operation: 73-37=36
Exploring Operation: 73+37=110, Resulting Numbers: [7, 110]
Generated Node #0,2,3: 77:[7, 110] Operation: 73+37=110
Moving to Node #0,0
Current State: 77:[73, 37, 30], Operations: ['35-5=30']
Exploring Operation: 37-30=7, Resulting Numbers: [73, 7]
Generated Node #0,0,0: 77:[73, 7] Operation: 37-30=7
Exploring Operation: 37+30=67, Resulting Numbers: [73, 67]
Generated Node #0,0,1: 77:[73, 67] Operation: 37+30=67
Exploring Operation: 73+37=110, Resulting Numbers: [30, 110]
Generated Node #0,0,2: 77:[30, 110] Operation: 73+37=110
Exploring Operation: 73-37=36, Resulting Numbers: [30, 36]
Generated Node #0,0,3: 77:[30, 36] Operation: 73-37=36
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[73, 7], Operations: ['35-5=30', '37-30=7']
Exploring Operation: 73*7=511, Resulting Numbers: [511]
511,77 unequal: No Solution
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Exploring Operation: 73+7=80, Resulting Numbers: [80]
80,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 77:[73, 67], Operations: ['35-5=30', '37+30=67']
Exploring Operation: 73-67=6, Resulting Numbers: [6]
6,77 unequal: No Solution
Exploring Operation: 73*67=4891, Resulting Numbers: [4891]
4891,77 unequal: No Solution
Exploring Operation: 73+67=140, Resulting Numbers: [140]
140,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 77:[30, 36], Operations: ['35-5=30', '73-37=36']
Exploring Operation: 36-30=6, Resulting Numbers: [6]
6,77 unequal: No Solution
Exploring Operation: 30*36=1080, Resulting Numbers: [1080]
1080,77 unequal: No Solution
Exploring Operation: 30+36=66, Resulting Numbers: [66]
66,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 77:[30, 110], Operations: ['35-5=30', '73+37=110']
Exploring Operation: 30+110=140, Resulting Numbers: [140]
140,77 unequal: No Solution
Exploring Operation: 30*110=3300, Resulting Numbers: [3300]
3300,77 unequal: No Solution
Exploring Operation: 110-30=80, Resulting Numbers: [80]
80,77 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: 77:[73, 7], Operations: ['37-35=2', '5+2=7']
Exploring Operation: 73+7=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,77 unequal: No Solution
Exploring Operation: 73*7=511, Resulting Numbers: [511]
511,77 unequal: No Solution
Moving to Node #0,1,1
Current State: 77:[5, 75], Operations: ['37-35=2', '73+2=75']
Exploring Operation: 75-5=70, Resulting Numbers: [70]
70,77 unequal: No Solution
Exploring Operation: 5+75=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,77 unequal: No Solution
Exploring Operation: 5*75=375, Resulting Numbers: [375]
375,77 unequal: No Solution
Moving to Node #0,1,3
Current State: 77:[73, 10], Operations: ['37-35=2', '5*2=10']
Exploring Operation: 73-10=63, Resulting Numbers: [63]
63,77 unequal: No Solution
Exploring Operation: 73*10=730, Resulting Numbers: [730]
730,77 unequal: No Solution
Exploring Operation: 73+10=83, Resulting Numbers: [83]
83,77 unequal: No Solution
Moving to Node #0,1,2
Current State: 77:[2, 78], Operations: ['37-35=2', '73+5=78']
Exploring Operation: 2+78=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Exploring Operation: 2*78=156, Resulting Numbers: [156]
156,77 unequal: No Solution
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,77 unequal: No Solution
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,77 unequal: No Solution
Moving to Node #0,2,1
Current State: 77:[73, 30], Operations: ['35/5=7', '37-7=30']
Exploring Operation: 73+30=103, Resulting Numbers: [103]
103,77 unequal: No Solution
Exploring Operation: 73-30=43, Resulting Numbers: [43]
43,77 unequal: No Solution
Exploring Operation: 73*30=2190, Resulting Numbers: [2190]
2190,77 unequal: No Solution
Moving to Node #0,2,2
Current State: 77:[7, 36], Operations: ['35/5=7', '73-37=36']
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,77 unequal: No Solution
Exploring Operation: 7*36=252, Resulting Numbers: [252]
252,77 unequal: No Solution
Exploring Operation: 7+36=43, Resulting Numbers: [43]
43,77 unequal: No Solution
Moving to Node #0,2,0
Current State: 77:[37, 80], Operations: ['35/5=7', '73+7=80']
Exploring Operation: 80-37=43, Resulting Numbers: [43]
43,77 unequal: No Solution
Exploring Operation: 37*80=2960, Resulting Numbers: [2960]
2960,77 unequal: No Solution
Exploring Operation: 37+80=117, Resulting Numbers: [117]
117,77 unequal: No Solution
Moving to Node #0,2,3
Current State: 77:[7, 110], Operations: ['35/5=7', '73+37=110']
Exploring Operation: 7*110=770, Resulting Numbers: [770]
770,77 unequal: No Solution
Exploring Operation: 7+110=117, Resulting Numbers: [117]
117,77 unequal: No Solution
Exploring Operation: 110-7=103, Resulting Numbers: [103]
103,77 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
67,
8,
60,
69
] | 26 | [
"69-67=2",
"60-8=52",
"52/2=26"
] | Current State: 26:[67, 8, 60, 69], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [8, 60, 2]
Generated Node #2: [8, 60, 2] from Operation: 69-67=2
Current State: 26:[8, 60, 2], Operations: ['69-67=2']
Exploring Operation: 60-8=52, Resulting Numbers: [2, 52]
Generated Node #3: [2, 52] from Operation: 60-8=52
Current State: 26:[2, 52], Operations: ['69-67=2', '60-8=52']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[67, 8, 60, 69], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [8, 60, 2]
Generated Node #0,0: 26:[8, 60, 2] Operation: 69-67=2
Moving to Node #0,0
Current State: 26:[8, 60, 2], Operations: ['69-67=2']
Exploring Operation: 60/2=30, Resulting Numbers: [8, 30]
Generated Node #0,0,0: 26:[8, 30] Operation: 60/2=30
Moving to Node #0,0,0
Current State: 26:[8, 30], Operations: ['69-67=2', '60/2=30']
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,26 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
85,
90,
15,
13
] | 12 | [
"85-13=72",
"90/15=6",
"72/6=12"
] | Current State: 12:[85, 90, 15, 13], Operations: []
Exploring Operation: 85-13=72, Resulting Numbers: [90, 15, 72]
Generated Node #2: [90, 15, 72] from Operation: 85-13=72
Current State: 12:[90, 15, 72], Operations: ['85-13=72']
Exploring Operation: 90/15=6, Resulting Numbers: [72, 6]
Generated Node #3: [72, 6] from Operation: 90/15=6
Current State: 12:[72, 6], Operations: ['85-13=72', '90/15=6']
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[85, 90, 15, 13], Operations: []
Exploring Operation: 90-85=5, Resulting Numbers: [15, 13, 5]
Generated Node #0,0: 12:[15, 13, 5] Operation: 90-85=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[15, 13, 5], Operations: ['90-85=5']
Exploring Operation: 15-13=2, Resulting Numbers: [5, 2]
Generated Node #0,0,0: 12:[5, 2] Operation: 15-13=2
Moving to Node #0,0,0
Current State: 12:[5, 2], Operations: ['90-85=5', '15-13=2']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
33,
88,
98,
58
] | 81 | [
"33+88=121",
"98-58=40",
"121-40=81"
] | Current State: 81:[33, 88, 98, 58], Operations: []
Exploring Operation: 33+88=121, Resulting Numbers: [98, 58, 121]
Generated Node #2: [98, 58, 121] from Operation: 33+88=121
Current State: 81:[98, 58, 121], Operations: ['33+88=121']
Exploring Operation: 98-58=40, Resulting Numbers: [121, 40]
Generated Node #3: [121, 40] from Operation: 98-58=40
Current State: 81:[121, 40], Operations: ['33+88=121', '98-58=40']
Exploring Operation: 121-40=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[33, 88, 98, 58], Operations: []
Exploring Operation: 98-58=40, Resulting Numbers: [33, 88, 40]
Generated Node #0,0: 81:[33, 88, 40] Operation: 98-58=40
Exploring Operation: 33+58=91, Resulting Numbers: [88, 98, 91]
Generated Node #0,1: 81:[88, 98, 91] Operation: 33+58=91
Exploring Operation: 98-88=10, Resulting Numbers: [33, 58, 10]
Generated Node #0,2: 81:[33, 58, 10] Operation: 98-88=10
Exploring Operation: 58-33=25, Resulting Numbers: [88, 98, 25]
Generated Node #0,3: 81:[88, 98, 25] Operation: 58-33=25
Exploring Operation: 88-58=30, Resulting Numbers: [33, 98, 30]
Generated Node #0,4: 81:[33, 98, 30] Operation: 88-58=30
Moving to Node #0,0
Current State: 81:[33, 88, 40], Operations: ['98-58=40']
Exploring Operation: 33+40=73, Resulting Numbers: [88, 73]
Generated Node #0,0,0: 81:[88, 73] Operation: 33+40=73
Exploring Operation: 40-33=7, Resulting Numbers: [88, 7]
Generated Node #0,0,1: 81:[88, 7] Operation: 40-33=7
Exploring Operation: 33+88=121, Resulting Numbers: [40, 121]
Generated Node #0,0,2: 81:[40, 121] Operation: 33+88=121
Exploring Operation: 88-33=55, Resulting Numbers: [40, 55]
Generated Node #0,0,3: 81:[40, 55] Operation: 88-33=55
Exploring Operation: 88-40=48, Resulting Numbers: [33, 48]
Generated Node #0,0,4: 81:[33, 48] Operation: 88-40=48
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 81:[88, 7], Operations: ['98-58=40', '40-33=7']
Exploring Operation: 88-7=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[33, 88, 98, 58], Operations: []
Exploring Operation: 98-58=40, Resulting Numbers: [33, 88, 40]
Generated Node #0,0: 81:[33, 88, 40] Operation: 98-58=40
Moving to Node #0,0
Current State: 81:[33, 88, 40], Operations: ['98-58=40']
Exploring Operation: 40-33=7, Resulting Numbers: [88, 7]
Generated Node #0,0,1: 81:[88, 7] Operation: 40-33=7
Moving to Node #0,0,1
Current State: 81:[88, 7], Operations: ['98-58=40', '40-33=7']
Exploring Operation: 88-7=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
64,
40,
41,
56
] | 45 | [
"56-40=16",
"64/16=4",
"41+4=45"
] | Current State: 45:[64, 40, 41, 56], Operations: []
Exploring Operation: 56-40=16, Resulting Numbers: [64, 41, 16]
Generated Node #2: [64, 41, 16] from Operation: 56-40=16
Current State: 45:[64, 41, 16], Operations: ['56-40=16']
Exploring Operation: 64/16=4, Resulting Numbers: [41, 4]
Generated Node #3: [41, 4] from Operation: 64/16=4
Current State: 45:[41, 4], Operations: ['56-40=16', '64/16=4']
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[64, 40, 41, 56], Operations: []
Exploring Operation: 64-56=8, Resulting Numbers: [40, 41, 8]
Generated Node #0,0: 45:[40, 41, 8] Operation: 64-56=8
Moving to Node #0,0
Current State: 45:[40, 41, 8], Operations: ['64-56=8']
Exploring Operation: 41-40=1, Resulting Numbers: [8, 1]
Generated Node #0,0,0: 45:[8, 1] Operation: 41-40=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 45:[8, 1], Operations: ['64-56=8', '41-40=1']
Exploring Operation: 8+1=9, Resulting Numbers: [9]
9,45 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 |
[
33,
81,
39,
2
] | 27 | [
"39-33=6",
"81*2=162",
"162/6=27"
] | Current State: 27:[33, 81, 39, 2], Operations: []
Exploring Operation: 39-33=6, Resulting Numbers: [81, 2, 6]
Generated Node #2: [81, 2, 6] from Operation: 39-33=6
Current State: 27:[81, 2, 6], Operations: ['39-33=6']
Exploring Operation: 81*2=162, Resulting Numbers: [6, 162]
Generated Node #3: [6, 162] from Operation: 81*2=162
Current State: 27:[6, 162], Operations: ['39-33=6', '81*2=162']
Exploring Operation: 162/6=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[33, 81, 39, 2], Operations: []
Exploring Operation: 81-39=42, Resulting Numbers: [33, 2, 42]
Generated Node #0,0: 27:[33, 2, 42] Operation: 81-39=42
Moving to Node #0,0
Current State: 27:[33, 2, 42], Operations: ['81-39=42']
Exploring Operation: 42-33=9, Resulting Numbers: [2, 9]
Generated Node #0,0,0: 27:[2, 9] Operation: 42-33=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 27:[2, 9], Operations: ['81-39=42', '42-33=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,27 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 |
[
90,
40,
57,
51
] | 44 | [
"90-40=50",
"57-51=6",
"50-6=44"
] | Current State: 44:[90, 40, 57, 51], Operations: []
Exploring Operation: 90-40=50, Resulting Numbers: [57, 51, 50]
Generated Node #2: [57, 51, 50] from Operation: 90-40=50
Current State: 44:[57, 51, 50], Operations: ['90-40=50']
Exploring Operation: 57-51=6, Resulting Numbers: [50, 6]
Generated Node #3: [50, 6] from Operation: 57-51=6
Current State: 44:[50, 6], Operations: ['90-40=50', '57-51=6']
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[90, 40, 57, 51], Operations: []
Exploring Operation: 90-57=33, Resulting Numbers: [40, 51, 33]
Generated Node #0,0: 44:[40, 51, 33] Operation: 90-57=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[40, 51, 33], Operations: ['90-57=33']
Exploring Operation: 51-33=18, Resulting Numbers: [40, 18]
Generated Node #0,0,0: 44:[40, 18] Operation: 51-33=18
Moving to Node #0,0,0
Current State: 44:[40, 18], Operations: ['90-57=33', '51-33=18']
Exploring Operation: 40-18=22, Resulting Numbers: [22]
22,44 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 |
[
18,
93,
96,
30
] | 28 | [
"96-93=3",
"30/3=10",
"18+10=28"
] | Current State: 28:[18, 93, 96, 30], Operations: []
Exploring Operation: 96-93=3, Resulting Numbers: [18, 30, 3]
Generated Node #2: [18, 30, 3] from Operation: 96-93=3
Current State: 28:[18, 30, 3], Operations: ['96-93=3']
Exploring Operation: 30/3=10, Resulting Numbers: [18, 10]
Generated Node #3: [18, 10] from Operation: 30/3=10
Current State: 28:[18, 10], Operations: ['96-93=3', '30/3=10']
Exploring Operation: 18+10=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[18, 93, 96, 30], Operations: []
Exploring Operation: 96-93=3, Resulting Numbers: [18, 30, 3]
Generated Node #0,0: 28:[18, 30, 3] Operation: 96-93=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[18, 30, 3], Operations: ['96-93=3']
Exploring Operation: 30-18=12, Resulting Numbers: [3, 12]
Generated Node #0,0,0: 28:[3, 12] Operation: 30-18=12
Moving to Node #0,0,0
Current State: 28:[3, 12], Operations: ['96-93=3', '30-18=12']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,28 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 |
[
83,
94,
9,
2
] | 81 | [
"94-83=11",
"11-2=9",
"9*9=81"
] | Current State: 81:[83, 94, 9, 2], Operations: []
Exploring Operation: 94-83=11, Resulting Numbers: [9, 2, 11]
Generated Node #2: [9, 2, 11] from Operation: 94-83=11
Current State: 81:[9, 2, 11], Operations: ['94-83=11']
Exploring Operation: 11-2=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 11-2=9
Current State: 81:[9, 9], Operations: ['94-83=11', '11-2=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[83, 94, 9, 2], Operations: []
Exploring Operation: 94-83=11, Resulting Numbers: [9, 2, 11]
Generated Node #0,0: 81:[9, 2, 11] Operation: 94-83=11
Moving to Node #0,0
Current State: 81:[9, 2, 11], Operations: ['94-83=11']
Exploring Operation: 11-2=9, Resulting Numbers: [9, 9]
Generated Node #0,0,0: 81:[9, 9] Operation: 11-2=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[9, 9], Operations: ['94-83=11', '11-2=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[83, 94, 9, 2], Operations: []
Exploring Operation: 94-83=11, Resulting Numbers: [9, 2, 11]
Generated Node #0,0: 81:[9, 2, 11] Operation: 94-83=11
Moving to Node #0,0
Current State: 81:[9, 2, 11], Operations: ['94-83=11']
Exploring Operation: 11-2=9, Resulting Numbers: [9, 9]
Generated Node #0,0,0: 81:[9, 9] Operation: 11-2=9
Moving to Node #0,0,0
Current State: 81:[9, 9], Operations: ['94-83=11', '11-2=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
34,
4,
60,
89
] | 82 | [
"89-60=29",
"4*29=116",
"116-34=82"
] | Current State: 82:[34, 4, 60, 89], Operations: []
Exploring Operation: 89-60=29, Resulting Numbers: [34, 4, 29]
Generated Node #2: [34, 4, 29] from Operation: 89-60=29
Current State: 82:[34, 4, 29], Operations: ['89-60=29']
Exploring Operation: 4*29=116, Resulting Numbers: [34, 116]
Generated Node #3: [34, 116] from Operation: 4*29=116
Current State: 82:[34, 116], Operations: ['89-60=29', '4*29=116']
Exploring Operation: 116-34=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[34, 4, 60, 89], Operations: []
Exploring Operation: 60-34=26, Resulting Numbers: [4, 89, 26]
Generated Node #0,0: 82:[4, 89, 26] Operation: 60-34=26
Exploring Operation: 34+60=94, Resulting Numbers: [4, 89, 94]
Generated Node #0,1: 82:[4, 89, 94] Operation: 34+60=94
Exploring Operation: 60/4=15, Resulting Numbers: [34, 89, 15]
Generated Node #0,2: 82:[34, 89, 15] Operation: 60/4=15
Exploring Operation: 89-60=29, Resulting Numbers: [34, 4, 29]
Generated Node #0,3: 82:[34, 4, 29] Operation: 89-60=29
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[4, 89, 94], Operations: ['34+60=94']
Exploring Operation: 4+89=93, Resulting Numbers: [94, 93]
Generated Node #0,1,0: 82:[94, 93] Operation: 4+89=93
Exploring Operation: 89-4=85, Resulting Numbers: [94, 85]
Generated Node #0,1,1: 82:[94, 85] Operation: 89-4=85
Exploring Operation: 94-4=90, Resulting Numbers: [89, 90]
Generated Node #0,1,2: 82:[89, 90] Operation: 94-4=90
Exploring Operation: 94-89=5, Resulting Numbers: [4, 5]
Generated Node #0,1,3: 82:[4, 5] Operation: 94-89=5
Moving to Node #0,1,3
Current State: 82:[4, 5], Operations: ['34+60=94', '94-89=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,82 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[89, 90], Operations: ['34+60=94', '94-4=90']
Exploring Operation: 89*90=8010, Resulting Numbers: [8010]
8010,82 unequal: No Solution
Exploring Operation: 90-89=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 89+90=179, Resulting Numbers: [179]
179,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[94, 85], Operations: ['34+60=94', '89-4=85']
Exploring Operation: 94-85=9, Resulting Numbers: [9]
9,82 unequal: No Solution
Exploring Operation: 94+85=179, Resulting Numbers: [179]
179,82 unequal: No Solution
Exploring Operation: 94*85=7990, Resulting Numbers: [7990]
7990,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[94, 93], Operations: ['34+60=94', '4+89=93']
Exploring Operation: 94-93=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 94+93=187, Resulting Numbers: [187]
187,82 unequal: No Solution
Exploring Operation: 94*93=8742, Resulting Numbers: [8742]
8742,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 82:[34, 4, 29], Operations: ['89-60=29']
Exploring Operation: 34+29=63, Resulting Numbers: [4, 63]
Generated Node #0,3,0: 82:[4, 63] Operation: 34+29=63
Exploring Operation: 34+4=38, Resulting Numbers: [29, 38]
Generated Node #0,3,1: 82:[29, 38] Operation: 34+4=38
Exploring Operation: 4+29=33, Resulting Numbers: [34, 33]
Generated Node #0,3,2: 82:[34, 33] Operation: 4+29=33
Exploring Operation: 34-29=5, Resulting Numbers: [4, 5]
Generated Node #0,3,3: 82:[4, 5] Operation: 34-29=5
Moving to Node #0,3,3
Current State: 82:[4, 5], Operations: ['89-60=29', '34-29=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,82 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,82 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Moving to Node #0,3,2
Current State: 82:[34, 33], Operations: ['89-60=29', '4+29=33']
Exploring Operation: 34*33=1122, Resulting Numbers: [1122]
1122,82 unequal: No Solution
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,82 unequal: No Solution
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Moving to Node #0,3,1
Current State: 82:[29, 38], Operations: ['89-60=29', '34+4=38']
Exploring Operation: 29+38=67, Resulting Numbers: [67]
67,82 unequal: No Solution
Exploring Operation: 29*38=1102, Resulting Numbers: [1102]
1102,82 unequal: No Solution
Exploring Operation: 38-29=9, Resulting Numbers: [9]
9,82 unequal: No Solution
Moving to Node #0,3,0
Current State: 82:[4, 63], Operations: ['89-60=29', '34+29=63']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,82 unequal: No Solution
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,82 unequal: No Solution
Exploring Operation: 4*63=252, Resulting Numbers: [252]
252,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[4, 89, 26], Operations: ['60-34=26']
Exploring Operation: 4+89=93, Resulting Numbers: [26, 93]
Generated Node #0,0,0: 82:[26, 93] Operation: 4+89=93
Exploring Operation: 4+26=30, Resulting Numbers: [89, 30]
Generated Node #0,0,1: 82:[89, 30] Operation: 4+26=30
Exploring Operation: 89-4=85, Resulting Numbers: [26, 85]
Generated Node #0,0,2: 82:[26, 85] Operation: 89-4=85
Exploring Operation: 89-26=63, Resulting Numbers: [4, 63]
Generated Node #0,0,3: 82:[4, 63] Operation: 89-26=63
Moving to Node #0,0,1
Current State: 82:[89, 30], Operations: ['60-34=26', '4+26=30']
Exploring Operation: 89+30=119, Resulting Numbers: [119]
119,82 unequal: No Solution
Exploring Operation: 89-30=59, Resulting Numbers: [59]
59,82 unequal: No Solution
Exploring Operation: 89*30=2670, Resulting Numbers: [2670]
2670,82 unequal: No Solution
Moving to Node #0,0,2
Current State: 82:[26, 85], Operations: ['60-34=26', '89-4=85']
Exploring Operation: 26*85=2210, Resulting Numbers: [2210]
2210,82 unequal: No Solution
Exploring Operation: 26+85=111, Resulting Numbers: [111]
111,82 unequal: No Solution
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,82 unequal: No Solution
Moving to Node #0,0,3
Current State: 82:[4, 63], Operations: ['60-34=26', '89-26=63']
Exploring Operation: 4*63=252, Resulting Numbers: [252]
252,82 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,82 unequal: No Solution
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,82 unequal: No Solution
Moving to Node #0,0,0
Current State: 82:[26, 93], Operations: ['60-34=26', '4+89=93']
Exploring Operation: 93-26=67, Resulting Numbers: [67]
67,82 unequal: No Solution
Exploring Operation: 26*93=2418, Resulting Numbers: [2418]
2418,82 unequal: No Solution
Exploring Operation: 26+93=119, Resulting Numbers: [119]
119,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[34, 89, 15], Operations: ['60/4=15']
Exploring Operation: 89-15=74, Resulting Numbers: [34, 74]
Generated Node #0,2,0: 82:[34, 74] Operation: 89-15=74
Exploring Operation: 89-34=55, Resulting Numbers: [15, 55]
Generated Node #0,2,1: 82:[15, 55] Operation: 89-34=55
Exploring Operation: 34+15=49, Resulting Numbers: [89, 49]
Generated Node #0,2,2: 82:[89, 49] Operation: 34+15=49
Exploring Operation: 34-15=19, Resulting Numbers: [89, 19]
Generated Node #0,2,3: 82:[89, 19] Operation: 34-15=19
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 82:[34, 74], Operations: ['60/4=15', '89-15=74']
Exploring Operation: 34+74=108, Resulting Numbers: [108]
108,82 unequal: No Solution
Exploring Operation: 74-34=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 34*74=2516, Resulting Numbers: [2516]
2516,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 82:[89, 49], Operations: ['60/4=15', '34+15=49']
Exploring Operation: 89-49=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 89*49=4361, Resulting Numbers: [4361]
4361,82 unequal: No Solution
Exploring Operation: 89+49=138, Resulting Numbers: [138]
138,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 82:[89, 19], Operations: ['60/4=15', '34-15=19']
Exploring Operation: 89+19=108, Resulting Numbers: [108]
108,82 unequal: No Solution
Exploring Operation: 89*19=1691, Resulting Numbers: [1691]
1691,82 unequal: No Solution
Exploring Operation: 89-19=70, Resulting Numbers: [70]
70,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 82:[15, 55], Operations: ['60/4=15', '89-34=55']
Exploring Operation: 15*55=825, Resulting Numbers: [825]
825,82 unequal: No Solution
Exploring Operation: 55-15=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 15+55=70, Resulting Numbers: [70]
70,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
36,
71,
9,
85
] | 41 | [
"71-36=35",
"85-9=76",
"76-35=41"
] | Current State: 41:[36, 71, 9, 85], Operations: []
Exploring Operation: 71-36=35, Resulting Numbers: [9, 85, 35]
Generated Node #2: [9, 85, 35] from Operation: 71-36=35
Current State: 41:[9, 85, 35], Operations: ['71-36=35']
Exploring Operation: 85-9=76, Resulting Numbers: [35, 76]
Generated Node #3: [35, 76] from Operation: 85-9=76
Current State: 41:[35, 76], Operations: ['71-36=35', '85-9=76']
Exploring Operation: 76-35=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[36, 71, 9, 85], Operations: []
Exploring Operation: 85-36=49, Resulting Numbers: [71, 9, 49]
Generated Node #0,0: 41:[71, 9, 49] Operation: 85-36=49
Exploring Operation: 71-9=62, Resulting Numbers: [36, 85, 62]
Generated Node #0,1: 41:[36, 85, 62] Operation: 71-9=62
Exploring Operation: 85-71=14, Resulting Numbers: [36, 9, 14]
Generated Node #0,2: 41:[36, 9, 14] Operation: 85-71=14
Exploring Operation: 85-9=76, Resulting Numbers: [36, 71, 76]
Generated Node #0,3: 41:[36, 71, 76] Operation: 85-9=76
Moving to Node #0,2
Current State: 41:[36, 9, 14], Operations: ['85-71=14']
Exploring Operation: 36-9=27, Resulting Numbers: [14, 27]
Generated Node #0,2,0: 41:[14, 27] Operation: 36-9=27
Exploring Operation: 36+9=45, Resulting Numbers: [14, 45]
Generated Node #0,2,1: 41:[14, 45] Operation: 36+9=45
Exploring Operation: 36+14=50, Resulting Numbers: [9, 50]
Generated Node #0,2,2: 41:[9, 50] Operation: 36+14=50
Exploring Operation: 9+14=23, Resulting Numbers: [36, 23]
Generated Node #0,2,3: 41:[36, 23] Operation: 9+14=23
Moving to Node #0,1
Current State: 41:[36, 85, 62], Operations: ['71-9=62']
Exploring Operation: 36+85=121, Resulting Numbers: [62, 121]
Generated Node #0,1,0: 41:[62, 121] Operation: 36+85=121
Exploring Operation: 85-36=49, Resulting Numbers: [62, 49]
Generated Node #0,1,1: 41:[62, 49] Operation: 85-36=49
Exploring Operation: 62-36=26, Resulting Numbers: [85, 26]
Generated Node #0,1,2: 41:[85, 26] Operation: 62-36=26
Exploring Operation: 85-62=23, Resulting Numbers: [36, 23]
Generated Node #0,1,3: 41:[36, 23] Operation: 85-62=23
Moving to Node #0,0
Current State: 41:[71, 9, 49], Operations: ['85-36=49']
Exploring Operation: 9+49=58, Resulting Numbers: [71, 58]
Generated Node #0,0,0: 41:[71, 58] Operation: 9+49=58
Exploring Operation: 71+9=80, Resulting Numbers: [49, 80]
Generated Node #0,0,1: 41:[49, 80] Operation: 71+9=80
Exploring Operation: 71-9=62, Resulting Numbers: [49, 62]
Generated Node #0,0,2: 41:[49, 62] Operation: 71-9=62
Exploring Operation: 49-9=40, Resulting Numbers: [71, 40]
Generated Node #0,0,3: 41:[71, 40] Operation: 49-9=40
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 41:[49, 62], Operations: ['85-36=49', '71-9=62']
Exploring Operation: 62-49=13, Resulting Numbers: [13]
13,41 unequal: No Solution
Exploring Operation: 49+62=111, Resulting Numbers: [111]
111,41 unequal: No Solution
Exploring Operation: 49*62=3038, Resulting Numbers: [3038]
3038,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 41:[71, 40], Operations: ['85-36=49', '49-9=40']
Exploring Operation: 71*40=2840, Resulting Numbers: [2840]
2840,41 unequal: No Solution
Exploring Operation: 71+40=111, Resulting Numbers: [111]
111,41 unequal: No Solution
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[71, 58], Operations: ['85-36=49', '9+49=58']
Exploring Operation: 71-58=13, Resulting Numbers: [13]
13,41 unequal: No Solution
Exploring Operation: 71*58=4118, Resulting Numbers: [4118]
4118,41 unequal: No Solution
Exploring Operation: 71+58=129, Resulting Numbers: [129]
129,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 41:[49, 80], Operations: ['85-36=49', '71+9=80']
Exploring Operation: 80-49=31, Resulting Numbers: [31]
31,41 unequal: No Solution
Exploring Operation: 49*80=3920, Resulting Numbers: [3920]
3920,41 unequal: No Solution
Exploring Operation: 49+80=129, Resulting Numbers: [129]
129,41 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: 41:[36, 71, 76], Operations: ['85-9=76']
Exploring Operation: 76-36=40, Resulting Numbers: [71, 40]
Generated Node #0,3,0: 41:[71, 40] Operation: 76-36=40
Exploring Operation: 36+71=107, Resulting Numbers: [76, 107]
Generated Node #0,3,1: 41:[76, 107] Operation: 36+71=107
Exploring Operation: 76-71=5, Resulting Numbers: [36, 5]
Generated Node #0,3,2: 41:[36, 5] Operation: 76-71=5
Exploring Operation: 71-36=35, Resulting Numbers: [76, 35]
Generated Node #0,3,3: 41:[76, 35] Operation: 71-36=35
Moving to Node #0,2,3
Current State: 41:[36, 23], Operations: ['85-71=14', '9+14=23']
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,41 unequal: No Solution
Exploring Operation: 36+23=59, Resulting Numbers: [59]
59,41 unequal: No Solution
Exploring Operation: 36*23=828, Resulting Numbers: [828]
828,41 unequal: No Solution
Moving to Node #0,1,3
Current State: 41:[36, 23], Operations: ['71-9=62', '85-62=23']
Exploring Operation: 36+23=59, Resulting Numbers: [59]
59,41 unequal: No Solution
Exploring Operation: 36*23=828, Resulting Numbers: [828]
828,41 unequal: No Solution
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,41 unequal: No Solution
Moving to Node #0,1,1
Current State: 41:[62, 49], Operations: ['71-9=62', '85-36=49']
Exploring Operation: 62+49=111, Resulting Numbers: [111]
111,41 unequal: No Solution
Exploring Operation: 62-49=13, Resulting Numbers: [13]
13,41 unequal: No Solution
Exploring Operation: 62*49=3038, Resulting Numbers: [3038]
3038,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[14, 45], Operations: ['85-71=14', '36+9=45']
Exploring Operation: 14+45=59, Resulting Numbers: [59]
59,41 unequal: No Solution
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,41 unequal: No Solution
Exploring Operation: 14*45=630, Resulting Numbers: [630]
630,41 unequal: No Solution
Moving to Node #0,3,0
Current State: 41:[71, 40], Operations: ['85-9=76', '76-36=40']
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,41 unequal: No Solution
Exploring Operation: 71+40=111, Resulting Numbers: [111]
111,41 unequal: No Solution
Exploring Operation: 71*40=2840, Resulting Numbers: [2840]
2840,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[14, 27], Operations: ['85-71=14', '36-9=27']
Exploring Operation: 14*27=378, Resulting Numbers: [378]
378,41 unequal: No Solution
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,41 unequal: No Solution
Exploring Operation: 14+27=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[36, 71, 9, 85], Operations: []
Exploring Operation: 85-71=14, Resulting Numbers: [36, 9, 14]
Generated Node #0,2: 41:[36, 9, 14] Operation: 85-71=14
Moving to Node #0,2
Current State: 41:[36, 9, 14], Operations: ['85-71=14']
Exploring Operation: 36-9=27, Resulting Numbers: [14, 27]
Generated Node #0,2,0: 41:[14, 27] Operation: 36-9=27
Moving to Node #0,2,0
Current State: 41:[14, 27], Operations: ['85-71=14', '36-9=27']
Exploring Operation: 14+27=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 0.953125 | hs_4 | mult_heuristic |
[
88,
3,
25,
83
] | 50 | [
"88-3=85",
"85-83=2",
"25*2=50"
] | Current State: 50:[88, 3, 25, 83], Operations: []
Exploring Operation: 88-3=85, Resulting Numbers: [25, 83, 85]
Generated Node #2: [25, 83, 85] from Operation: 88-3=85
Current State: 50:[25, 83, 85], Operations: ['88-3=85']
Exploring Operation: 85-83=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 85-83=2
Current State: 50:[25, 2], Operations: ['88-3=85', '85-83=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[88, 3, 25, 83], Operations: []
Exploring Operation: 88-25=63, Resulting Numbers: [3, 83, 63]
Generated Node #0,0: 50:[3, 83, 63] Operation: 88-25=63
Exploring Operation: 88-83=5, Resulting Numbers: [3, 25, 5]
Generated Node #0,1: 50:[3, 25, 5] Operation: 88-83=5
Moving to Node #0,1
Current State: 50:[3, 25, 5], Operations: ['88-83=5']
Exploring Operation: 25/5=5, Resulting Numbers: [3, 5]
Generated Node #0,1,0: 50:[3, 5] Operation: 25/5=5
Exploring Operation: 5-3=2, Resulting Numbers: [25, 2]
Generated Node #0,1,1: 50:[25, 2] Operation: 5-3=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 50:[25, 2], Operations: ['88-83=5', '5-3=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[88, 3, 25, 83], Operations: []
Exploring Operation: 88-83=5, Resulting Numbers: [3, 25, 5]
Generated Node #0,1: 50:[3, 25, 5] Operation: 88-83=5
Moving to Node #0,1
Current State: 50:[3, 25, 5], Operations: ['88-83=5']
Exploring Operation: 5-3=2, Resulting Numbers: [25, 2]
Generated Node #0,1,1: 50:[25, 2] Operation: 5-3=2
Moving to Node #0,1,1
Current State: 50:[25, 2], Operations: ['88-83=5', '5-3=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
58,
60,
27,
51
] | 12 | [
"60-58=2",
"51-27=24",
"24/2=12"
] | Current State: 12:[58, 60, 27, 51], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [27, 51, 2]
Generated Node #2: [27, 51, 2] from Operation: 60-58=2
Current State: 12:[27, 51, 2], Operations: ['60-58=2']
Exploring Operation: 51-27=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 51-27=24
Current State: 12:[2, 24], Operations: ['60-58=2', '51-27=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[58, 60, 27, 51], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [27, 51, 2]
Generated Node #0,0: 12:[27, 51, 2] Operation: 60-58=2
Exploring Operation: 58-51=7, Resulting Numbers: [60, 27, 7]
Generated Node #0,1: 12:[60, 27, 7] Operation: 58-51=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[27, 51, 2], Operations: ['60-58=2']
Exploring Operation: 27-2=25, Resulting Numbers: [51, 25]
Generated Node #0,0,0: 12:[51, 25] Operation: 27-2=25
Exploring Operation: 51-27=24, Resulting Numbers: [2, 24]
Generated Node #0,0,1: 12:[2, 24] Operation: 51-27=24
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 12:[2, 24], Operations: ['60-58=2', '51-27=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[58, 60, 27, 51], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [27, 51, 2]
Generated Node #0,0: 12:[27, 51, 2] Operation: 60-58=2
Moving to Node #0,0
Current State: 12:[27, 51, 2], Operations: ['60-58=2']
Exploring Operation: 51-27=24, Resulting Numbers: [2, 24]
Generated Node #0,0,1: 12:[2, 24] Operation: 51-27=24
Moving to Node #0,0,1
Current State: 12:[2, 24], Operations: ['60-58=2', '51-27=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
70,
14,
77,
10
] | 88 | [
"77-70=7",
"14*7=98",
"98-10=88"
] | Current State: 88:[70, 14, 77, 10], Operations: []
Exploring Operation: 77-70=7, Resulting Numbers: [14, 10, 7]
Generated Node #2: [14, 10, 7] from Operation: 77-70=7
Current State: 88:[14, 10, 7], Operations: ['77-70=7']
Exploring Operation: 14*7=98, Resulting Numbers: [10, 98]
Generated Node #3: [10, 98] from Operation: 14*7=98
Current State: 88:[10, 98], Operations: ['77-70=7', '14*7=98']
Exploring Operation: 98-10=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[70, 14, 77, 10], Operations: []
Exploring Operation: 70/10=7, Resulting Numbers: [14, 77, 7]
Generated Node #0,0: 88:[14, 77, 7] Operation: 70/10=7
Exploring Operation: 77-70=7, Resulting Numbers: [14, 10, 7]
Generated Node #0,1: 88:[14, 10, 7] Operation: 77-70=7
Exploring Operation: 70+14=84, Resulting Numbers: [77, 10, 84]
Generated Node #0,2: 88:[77, 10, 84] Operation: 70+14=84
Exploring Operation: 70/14=5, Resulting Numbers: [77, 10, 5]
Generated Node #0,3: 88:[77, 10, 5] Operation: 70/14=5
Moving to Node #0,1
Current State: 88:[14, 10, 7], Operations: ['77-70=7']
Exploring Operation: 14+7=21, Resulting Numbers: [10, 21]
Generated Node #0,1,0: 88:[10, 21] Operation: 14+7=21
Exploring Operation: 14-10=4, Resulting Numbers: [7, 4]
Generated Node #0,1,1: 88:[7, 4] Operation: 14-10=4
Exploring Operation: 14/7=2, Resulting Numbers: [10, 2]
Generated Node #0,1,2: 88:[10, 2] Operation: 14/7=2
Exploring Operation: 14-7=7, Resulting Numbers: [10, 7]
Generated Node #0,1,3: 88:[10, 7] Operation: 14-7=7
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 88:[7, 4], Operations: ['77-70=7', '14-10=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,88 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,88 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,88 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 #0,1,2
Current State: 88:[10, 2], Operations: ['77-70=7', '14/7=2']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,88 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,88 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,88 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,88 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 #0,1,0
Current State: 88:[10, 21], Operations: ['77-70=7', '14+7=21']
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,88 unequal: No Solution
Exploring Operation: 10*21=210, Resulting Numbers: [210]
210,88 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:[10, 7], Operations: ['77-70=7', '14-7=7']
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,88 unequal: No Solution
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,88 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: 88:[77, 10, 5], Operations: ['70/14=5']
Exploring Operation: 77+5=82, Resulting Numbers: [10, 82]
Generated Node #0,3,0: 88:[10, 82] Operation: 77+5=82
Exploring Operation: 77+10=87, Resulting Numbers: [5, 87]
Generated Node #0,3,1: 88:[5, 87] Operation: 77+10=87
Exploring Operation: 10/5=2, Resulting Numbers: [77, 2]
Generated Node #0,3,2: 88:[77, 2] Operation: 10/5=2
Exploring Operation: 10-5=5, Resulting Numbers: [77, 5]
Generated Node #0,3,3: 88:[77, 5] Operation: 10-5=5
Moving to Node #0,0
Current State: 88:[14, 77, 7], Operations: ['70/10=7']
Exploring Operation: 77+7=84, Resulting Numbers: [14, 84]
Generated Node #0,0,0: 88:[14, 84] Operation: 77+7=84
Exploring Operation: 14/7=2, Resulting Numbers: [77, 2]
Generated Node #0,0,1: 88:[77, 2] Operation: 14/7=2
Exploring Operation: 14+77=91, Resulting Numbers: [7, 91]
Generated Node #0,0,2: 88:[7, 91] Operation: 14+77=91
Exploring Operation: 77/7=11, Resulting Numbers: [14, 11]
Generated Node #0,0,3: 88:[14, 11] Operation: 77/7=11
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 88:[14, 11], Operations: ['70/10=7', '77/7=11']
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,88 unequal: No Solution
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,88 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,88 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:[7, 91], Operations: ['70/10=7', '14+77=91']
Exploring Operation: 7+91=98, Resulting Numbers: [98]
98,88 unequal: No Solution
Exploring Operation: 91-7=84, Resulting Numbers: [84]
84,88 unequal: No Solution
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,88 unequal: No Solution
Exploring Operation: 7*91=637, Resulting Numbers: [637]
637,88 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 #0,0,0
Current State: 88:[14, 84], Operations: ['70/10=7', '77+7=84']
Exploring Operation: 14*84=1176, Resulting Numbers: [1176]
1176,88 unequal: No Solution
Exploring Operation: 84-14=70, Resulting Numbers: [70]
70,88 unequal: No Solution
Exploring Operation: 84/14=6, Resulting Numbers: [6]
6,88 unequal: No Solution
Exploring Operation: 14+84=98, Resulting Numbers: [98]
98,88 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:[77, 2], Operations: ['70/10=7', '14/7=2']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,88 unequal: No Solution
Exploring Operation: 77*2=154, Resulting Numbers: [154]
154,88 unequal: No Solution
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,88 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: 88:[77, 10, 84], Operations: ['70+14=84']
Exploring Operation: 10+84=94, Resulting Numbers: [77, 94]
Generated Node #0,2,0: 88:[77, 94] Operation: 10+84=94
Exploring Operation: 77+10=87, Resulting Numbers: [84, 87]
Generated Node #0,2,1: 88:[84, 87] Operation: 77+10=87
Exploring Operation: 77-10=67, Resulting Numbers: [84, 67]
Generated Node #0,2,2: 88:[84, 67] Operation: 77-10=67
Exploring Operation: 84-77=7, Resulting Numbers: [10, 7]
Generated Node #0,2,3: 88:[10, 7] Operation: 84-77=7
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 88:[10, 7], Operations: ['70+14=84', '84-77=7']
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,88 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 #0,2,1
Current State: 88:[84, 87], Operations: ['70+14=84', '77+10=87']
Exploring Operation: 87-84=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 84*87=7308, Resulting Numbers: [7308]
7308,88 unequal: No Solution
Exploring Operation: 84+87=171, Resulting Numbers: [171]
171,88 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 #0,2,0
Current State: 88:[77, 94], Operations: ['70+14=84', '10+84=94']
Exploring Operation: 77+94=171, Resulting Numbers: [171]
171,88 unequal: No Solution
Exploring Operation: 77*94=7238, Resulting Numbers: [7238]
7238,88 unequal: No Solution
Exploring Operation: 94-77=17, Resulting Numbers: [17]
17,88 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 #0,2,2
Current State: 88:[84, 67], Operations: ['70+14=84', '77-10=67']
Exploring Operation: 84+67=151, Resulting Numbers: [151]
151,88 unequal: No Solution
Exploring Operation: 84*67=5628, Resulting Numbers: [5628]
5628,88 unequal: No Solution
Exploring Operation: 84-67=17, Resulting Numbers: [17]
17,88 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: 88:[5, 87], Operations: ['70/14=5', '77+10=87']
Exploring Operation: 5*87=435, Resulting Numbers: [435]
435,88 unequal: No Solution
Exploring Operation: 87-5=82, Resulting Numbers: [82]
82,88 unequal: No Solution
Exploring Operation: 5+87=92, Resulting Numbers: [92]
92,88 unequal: No Solution
Moving to Node #0,3,0
Current State: 88:[10, 82], Operations: ['70/14=5', '77+5=82']
Exploring Operation: 10+82=92, Resulting Numbers: [92]
92,88 unequal: No Solution
Exploring Operation: 82-10=72, Resulting Numbers: [72]
72,88 unequal: No Solution
Exploring Operation: 10*82=820, Resulting Numbers: [820]
820,88 unequal: No Solution
Moving to Node #0,3,2
Current State: 88:[77, 2], Operations: ['70/14=5', '10/5=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,88 unequal: No Solution
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,88 unequal: No Solution
Exploring Operation: 77*2=154, Resulting Numbers: [154]
154,88 unequal: No Solution
Moving to Node #0,3,3
Current State: 88:[77, 5], Operations: ['70/14=5', '10-5=5']
Exploring Operation: 77*5=385, Resulting Numbers: [385]
385,88 unequal: No Solution
Exploring Operation: 77+5=82, Resulting Numbers: [82]
82,88 unequal: No Solution
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,88 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
29,
83,
36,
70
] | 88 | [
"83-29=54",
"70-36=34",
"54+34=88"
] | Current State: 88:[29, 83, 36, 70], Operations: []
Exploring Operation: 83-29=54, Resulting Numbers: [36, 70, 54]
Generated Node #2: [36, 70, 54] from Operation: 83-29=54
Current State: 88:[36, 70, 54], Operations: ['83-29=54']
Exploring Operation: 70-36=34, Resulting Numbers: [54, 34]
Generated Node #3: [54, 34] from Operation: 70-36=34
Current State: 88:[54, 34], Operations: ['83-29=54', '70-36=34']
Exploring Operation: 54+34=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[29, 83, 36, 70], Operations: []
Exploring Operation: 70-29=41, Resulting Numbers: [83, 36, 41]
Generated Node #0,0: 88:[83, 36, 41] Operation: 70-29=41
Exploring Operation: 83-70=13, Resulting Numbers: [29, 36, 13]
Generated Node #0,1: 88:[29, 36, 13] Operation: 83-70=13
Moving to Node #0,0
Current State: 88:[83, 36, 41], Operations: ['70-29=41']
Exploring Operation: 41-36=5, Resulting Numbers: [83, 5]
Generated Node #0,0,0: 88:[83, 5] Operation: 41-36=5
Exploring Operation: 83-36=47, Resulting Numbers: [41, 47]
Generated Node #0,0,1: 88:[41, 47] Operation: 83-36=47
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[83, 5], Operations: ['70-29=41', '41-36=5']
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,88 unequal: No Solution
Exploring Operation: 83+5=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[29, 83, 36, 70], Operations: []
Exploring Operation: 70-29=41, Resulting Numbers: [83, 36, 41]
Generated Node #0,0: 88:[83, 36, 41] Operation: 70-29=41
Moving to Node #0,0
Current State: 88:[83, 36, 41], Operations: ['70-29=41']
Exploring Operation: 41-36=5, Resulting Numbers: [83, 5]
Generated Node #0,0,0: 88:[83, 5] Operation: 41-36=5
Moving to Node #0,0,0
Current State: 88:[83, 5], Operations: ['70-29=41', '41-36=5']
Exploring Operation: 83+5=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
88,
96,
21,
44
] | 77 | [
"88/44=2",
"96-21=75",
"2+75=77"
] | Current State: 77:[88, 96, 21, 44], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [96, 21, 2]
Generated Node #2: [96, 21, 2] from Operation: 88/44=2
Current State: 77:[96, 21, 2], Operations: ['88/44=2']
Exploring Operation: 96-21=75, Resulting Numbers: [2, 75]
Generated Node #3: [2, 75] from Operation: 96-21=75
Current State: 77:[2, 75], Operations: ['88/44=2', '96-21=75']
Exploring Operation: 2+75=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[88, 96, 21, 44], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [96, 21, 2]
Generated Node #0,0: 77:[96, 21, 2] Operation: 88/44=2
Exploring Operation: 44-21=23, Resulting Numbers: [88, 96, 23]
Generated Node #0,1: 77:[88, 96, 23] Operation: 44-21=23
Exploring Operation: 96-21=75, Resulting Numbers: [88, 44, 75]
Generated Node #0,2: 77:[88, 44, 75] Operation: 96-21=75
Exploring Operation: 21+44=65, Resulting Numbers: [88, 96, 65]
Generated Node #0,3: 77:[88, 96, 65] Operation: 21+44=65
Exploring Operation: 96-88=8, Resulting Numbers: [21, 44, 8]
Generated Node #0,4: 77:[21, 44, 8] Operation: 96-88=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[96, 21, 2], Operations: ['88/44=2']
Exploring Operation: 21+2=23, Resulting Numbers: [96, 23]
Generated Node #0,0,0: 77:[96, 23] Operation: 21+2=23
Exploring Operation: 21-2=19, Resulting Numbers: [96, 19]
Generated Node #0,0,1: 77:[96, 19] Operation: 21-2=19
Exploring Operation: 96-2=94, Resulting Numbers: [21, 94]
Generated Node #0,0,2: 77:[21, 94] Operation: 96-2=94
Exploring Operation: 96-21=75, Resulting Numbers: [2, 75]
Generated Node #0,0,3: 77:[2, 75] Operation: 96-21=75
Exploring Operation: 96+2=98, Resulting Numbers: [21, 98]
Generated Node #0,0,4: 77:[21, 98] Operation: 96+2=98
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 77:[2, 75], Operations: ['88/44=2', '96-21=75']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,77 unequal: No Solution
Exploring Operation: 2*75=150, Resulting Numbers: [150]
150,77 unequal: No Solution
Exploring Operation: 2+75=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[88, 96, 21, 44], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [96, 21, 2]
Generated Node #0,0: 77:[96, 21, 2] Operation: 88/44=2
Moving to Node #0,0
Current State: 77:[96, 21, 2], Operations: ['88/44=2']
Exploring Operation: 96-21=75, Resulting Numbers: [2, 75]
Generated Node #0,0,3: 77:[2, 75] Operation: 96-21=75
Moving to Node #0,0,3
Current State: 77:[2, 75], Operations: ['88/44=2', '96-21=75']
Exploring Operation: 2+75=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
2,
10,
29,
34
] | 25 | [
"2*10=20",
"34-29=5",
"20+5=25"
] | Current State: 25:[2, 10, 29, 34], Operations: []
Exploring Operation: 2*10=20, Resulting Numbers: [29, 34, 20]
Generated Node #2: [29, 34, 20] from Operation: 2*10=20
Current State: 25:[29, 34, 20], Operations: ['2*10=20']
Exploring Operation: 34-29=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 34-29=5
Current State: 25:[20, 5], Operations: ['2*10=20', '34-29=5']
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[2, 10, 29, 34], Operations: []
Exploring Operation: 34-29=5, Resulting Numbers: [2, 10, 5]
Generated Node #0,0: 25:[2, 10, 5] Operation: 34-29=5
Exploring Operation: 10/2=5, Resulting Numbers: [29, 34, 5]
Generated Node #0,1: 25:[29, 34, 5] Operation: 10/2=5
Exploring Operation: 10-2=8, Resulting Numbers: [29, 34, 8]
Generated Node #0,2: 25:[29, 34, 8] Operation: 10-2=8
Exploring Operation: 34-10=24, Resulting Numbers: [2, 29, 24]
Generated Node #0,3: 25:[2, 29, 24] Operation: 34-10=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[2, 10, 5], Operations: ['34-29=5']
Exploring Operation: 10-5=5, Resulting Numbers: [2, 5]
Generated Node #0,0,0: 25:[2, 5] Operation: 10-5=5
Exploring Operation: 2*10=20, Resulting Numbers: [5, 20]
Generated Node #0,0,1: 25:[5, 20] Operation: 2*10=20
Exploring Operation: 10/2=5, Resulting Numbers: [5, 5]
Generated Node #0,0,2: 25:[5, 5] Operation: 10/2=5
Exploring Operation: 10-2=8, Resulting Numbers: [5, 8]
Generated Node #0,0,3: 25:[5, 8] Operation: 10-2=8
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 25:[5, 5], Operations: ['34-29=5', '10/2=5']
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,25 unequal: No Solution
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[2, 10, 29, 34], Operations: []
Exploring Operation: 34-29=5, Resulting Numbers: [2, 10, 5]
Generated Node #0,0: 25:[2, 10, 5] Operation: 34-29=5
Moving to Node #0,0
Current State: 25:[2, 10, 5], Operations: ['34-29=5']
Exploring Operation: 10/2=5, Resulting Numbers: [5, 5]
Generated Node #0,0,2: 25:[5, 5] Operation: 10/2=5
Moving to Node #0,0,2
Current State: 25:[5, 5], Operations: ['34-29=5', '10/2=5']
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
62,
27,
93,
4
] | 33 | [
"93*4=372",
"372/62=6",
"27+6=33"
] | Current State: 33:[62, 27, 93, 4], Operations: []
Exploring Operation: 93*4=372, Resulting Numbers: [62, 27, 372]
Generated Node #2: [62, 27, 372] from Operation: 93*4=372
Current State: 33:[62, 27, 372], Operations: ['93*4=372']
Exploring Operation: 372/62=6, Resulting Numbers: [27, 6]
Generated Node #3: [27, 6] from Operation: 372/62=6
Current State: 33:[27, 6], Operations: ['93*4=372', '372/62=6']
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[62, 27, 93, 4], Operations: []
Exploring Operation: 93-27=66, Resulting Numbers: [62, 4, 66]
Generated Node #0,0: 33:[62, 4, 66] Operation: 93-27=66
Exploring Operation: 62-27=35, Resulting Numbers: [93, 4, 35]
Generated Node #0,1: 33:[93, 4, 35] Operation: 62-27=35
Exploring Operation: 93-62=31, Resulting Numbers: [27, 4, 31]
Generated Node #0,2: 33:[27, 4, 31] Operation: 93-62=31
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[27, 4, 31], Operations: ['93-62=31']
Exploring Operation: 31-27=4, Resulting Numbers: [4, 4]
Generated Node #0,2,0: 33:[4, 4] Operation: 31-27=4
Exploring Operation: 4+31=35, Resulting Numbers: [27, 35]
Generated Node #0,2,1: 33:[27, 35] Operation: 4+31=35
Exploring Operation: 27+4=31, Resulting Numbers: [31, 31]
Generated Node #0,2,2: 33:[31, 31] Operation: 27+4=31
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 33:[4, 4], Operations: ['93-62=31', '31-27=4']
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,33 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,33 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 33:[31, 31], Operations: ['93-62=31', '27+4=31']
Exploring Operation: 31-31=0, Resulting Numbers: [0]
0,33 unequal: No Solution
Exploring Operation: 31/31=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 33:[27, 35], Operations: ['93-62=31', '4+31=35']
Exploring Operation: 27*35=945, Resulting Numbers: [945]
945,33 unequal: No Solution
Exploring Operation: 27+35=62, Resulting Numbers: [62]
62,33 unequal: No Solution
Exploring Operation: 35-27=8, Resulting Numbers: [8]
8,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[62, 4, 66], Operations: ['93-27=66']
Exploring Operation: 66-4=62, Resulting Numbers: [62, 62]
Generated Node #0,0,0: 33:[62, 62] Operation: 66-4=62
Exploring Operation: 66-62=4, Resulting Numbers: [4, 4]
Generated Node #0,0,1: 33:[4, 4] Operation: 66-62=4
Exploring Operation: 62-4=58, Resulting Numbers: [66, 58]
Generated Node #0,0,2: 33:[66, 58] Operation: 62-4=58
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 33:[4, 4], Operations: ['93-27=66', '66-62=4']
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,33 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 33:[62, 62], Operations: ['93-27=66', '66-4=62']
Exploring Operation: 62-62=0, Resulting Numbers: [0]
0,33 unequal: No Solution
Exploring Operation: 62+62=124, Resulting Numbers: [124]
124,33 unequal: No Solution
Exploring Operation: 62/62=1, Resulting Numbers: [1]
1,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 33:[66, 58], Operations: ['93-27=66', '62-4=58']
Exploring Operation: 66-58=8, Resulting Numbers: [8]
8,33 unequal: No Solution
Exploring Operation: 66+58=124, Resulting Numbers: [124]
124,33 unequal: No Solution
Exploring Operation: 66*58=3828, Resulting Numbers: [3828]
3828,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[93, 4, 35], Operations: ['62-27=35']
Exploring Operation: 93-4=89, Resulting Numbers: [35, 89]
Generated Node #0,1,0: 33:[35, 89] Operation: 93-4=89
Exploring Operation: 35-4=31, Resulting Numbers: [93, 31]
Generated Node #0,1,1: 33:[93, 31] Operation: 35-4=31
Exploring Operation: 93-35=58, Resulting Numbers: [4, 58]
Generated Node #0,1,2: 33:[4, 58] Operation: 93-35=58
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 33:[4, 58], Operations: ['62-27=35', '93-35=58']
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,33 unequal: No Solution
Exploring Operation: 4+58=62, Resulting Numbers: [62]
62,33 unequal: No Solution
Exploring Operation: 4*58=232, Resulting Numbers: [232]
232,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 33:[35, 89], Operations: ['62-27=35', '93-4=89']
Exploring Operation: 89-35=54, Resulting Numbers: [54]
54,33 unequal: No Solution
Exploring Operation: 35*89=3115, Resulting Numbers: [3115]
3115,33 unequal: No Solution
Exploring Operation: 35+89=124, Resulting Numbers: [124]
124,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 33:[93, 31], Operations: ['62-27=35', '35-4=31']
Exploring Operation: 93-31=62, Resulting Numbers: [62]
62,33 unequal: No Solution
Exploring Operation: 93/31=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 93+31=124, Resulting Numbers: [124]
124,33 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_3 | sum_heuristic |
[
66,
48,
66,
7
] | 48 | [
"66-66=0",
"7*0=0",
"48+0=48"
] | Current State: 48:[66, 48, 66, 7], Operations: []
Exploring Operation: 66-66=0, Resulting Numbers: [48, 7, 0]
Generated Node #2: [48, 7, 0] from Operation: 66-66=0
Current State: 48:[48, 7, 0], Operations: ['66-66=0']
Exploring Operation: 7*0=0, Resulting Numbers: [48, 0]
Generated Node #3: [48, 0] from Operation: 7*0=0
Current State: 48:[48, 0], Operations: ['66-66=0', '7*0=0']
Exploring Operation: 48+0=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[66, 48, 66, 7], Operations: []
Exploring Operation: 66-66=0, Resulting Numbers: [48, 7, 0]
Generated Node #0,0: 48:[48, 7, 0] Operation: 66-66=0
Exploring Operation: 66-48=18, Resulting Numbers: [66, 7, 18]
Generated Node #0,1: 48:[66, 7, 18] Operation: 66-48=18
Exploring Operation: 66/66=1, Resulting Numbers: [48, 7, 1]
Generated Node #0,2: 48:[48, 7, 1] Operation: 66/66=1
Exploring Operation: 66-7=59, Resulting Numbers: [48, 66, 59]
Generated Node #0,3: 48:[48, 66, 59] Operation: 66-7=59
Exploring Operation: 66-48=18, Resulting Numbers: [66, 7, 18]
Generated Node #0,4: 48:[66, 7, 18] Operation: 66-48=18
Moving to Node #0,2
Current State: 48:[48, 7, 1], Operations: ['66/66=1']
Exploring Operation: 7-1=6, Resulting Numbers: [48, 6]
Generated Node #0,2,0: 48:[48, 6] Operation: 7-1=6
Exploring Operation: 48/1=48, Resulting Numbers: [7, 48]
Generated Node #0,2,1: 48:[7, 48] Operation: 48/1=48
Exploring Operation: 7*1=7, Resulting Numbers: [48, 7]
Generated Node #0,2,2: 48:[48, 7] Operation: 7*1=7
Exploring Operation: 7+1=8, Resulting Numbers: [48, 8]
Generated Node #0,2,3: 48:[48, 8] Operation: 7+1=8
Exploring Operation: 48*1=48, Resulting Numbers: [7, 48]
Generated Node #0,2,4: 48:[7, 48] Operation: 48*1=48
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 48:[48, 6], Operations: ['66/66=1', '7-1=6']
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,48 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,48 unequal: No Solution
Exploring Operation: 48*6=288, Resulting Numbers: [288]
288,48 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 48:[48, 8], Operations: ['66/66=1', '7+1=8']
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,48 unequal: No Solution
Exploring Operation: 48*8=384, Resulting Numbers: [384]
384,48 unequal: No Solution
Exploring Operation: 48+8=56, Resulting Numbers: [56]
56,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 48:[7, 48], Operations: ['66/66=1', '48/1=48']
Exploring Operation: 7+48=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 7*48=336, Resulting Numbers: [336]
336,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 48:[48, 7], Operations: ['66/66=1', '7*1=7']
Exploring Operation: 48+7=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 48*7=336, Resulting Numbers: [336]
336,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 48:[7, 48], Operations: ['66/66=1', '48*1=48']
Exploring Operation: 7*48=336, Resulting Numbers: [336]
336,48 unequal: No Solution
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 7+48=55, Resulting Numbers: [55]
55,48 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: 48:[48, 7, 0], Operations: ['66-66=0']
Exploring Operation: 48-0=48, Resulting Numbers: [7, 48]
Generated Node #0,0,0: 48:[7, 48] Operation: 48-0=48
Exploring Operation: 7-0=7, Resulting Numbers: [48, 7]
Generated Node #0,0,1: 48:[48, 7] Operation: 7-0=7
Exploring Operation: 7+0=7, Resulting Numbers: [48, 7]
Generated Node #0,0,2: 48:[48, 7] Operation: 7+0=7
Exploring Operation: 7*0=0, Resulting Numbers: [48, 0]
Generated Node #0,0,3: 48:[48, 0] Operation: 7*0=0
Exploring Operation: 48+0=48, Resulting Numbers: [7, 48]
Generated Node #0,0,4: 48:[7, 48] Operation: 48+0=48
Moving to Node #0,1
Current State: 48:[66, 7, 18], Operations: ['66-48=18']
Exploring Operation: 18-7=11, Resulting Numbers: [66, 11]
Generated Node #0,1,0: 48:[66, 11] Operation: 18-7=11
Exploring Operation: 66+7=73, Resulting Numbers: [18, 73]
Generated Node #0,1,1: 48:[18, 73] Operation: 66+7=73
Exploring Operation: 66-7=59, Resulting Numbers: [18, 59]
Generated Node #0,1,2: 48:[18, 59] Operation: 66-7=59
Exploring Operation: 7+18=25, Resulting Numbers: [66, 25]
Generated Node #0,1,3: 48:[66, 25] Operation: 7+18=25
Exploring Operation: 66-18=48, Resulting Numbers: [7, 48]
Generated Node #0,1,4: 48:[7, 48] Operation: 66-18=48
Moving to Node #0,4
Current State: 48:[66, 7, 18], Operations: ['66-48=18']
Exploring Operation: 66-7=59, Resulting Numbers: [18, 59]
Generated Node #0,4,0: 48:[18, 59] Operation: 66-7=59
Exploring Operation: 66-18=48, Resulting Numbers: [7, 48]
Generated Node #0,4,1: 48:[7, 48] Operation: 66-18=48
Exploring Operation: 66+7=73, Resulting Numbers: [18, 73]
Generated Node #0,4,2: 48:[18, 73] Operation: 66+7=73
Exploring Operation: 18-7=11, Resulting Numbers: [66, 11]
Generated Node #0,4,3: 48:[66, 11] Operation: 18-7=11
Exploring Operation: 7+18=25, Resulting Numbers: [66, 25]
Generated Node #0,4,4: 48:[66, 25] Operation: 7+18=25
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 48:[7, 48], Operations: ['66-48=18', '66-18=48']
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 7*48=336, Resulting Numbers: [336]
336,48 unequal: No Solution
Exploring Operation: 7+48=55, Resulting Numbers: [55]
55,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 48:[18, 59], Operations: ['66-48=18', '66-7=59']
Exploring Operation: 18+59=77, Resulting Numbers: [77]
77,48 unequal: No Solution
Exploring Operation: 59-18=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 18*59=1062, Resulting Numbers: [1062]
1062,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 48:[66, 11], Operations: ['66-48=18', '18-7=11']
Exploring Operation: 66-11=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 66+11=77, Resulting Numbers: [77]
77,48 unequal: No Solution
Exploring Operation: 66/11=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 66*11=726, Resulting Numbers: [726]
726,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 48:[66, 25], Operations: ['66-48=18', '7+18=25']
Exploring Operation: 66-25=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 66*25=1650, Resulting Numbers: [1650]
1650,48 unequal: No Solution
Exploring Operation: 66+25=91, Resulting Numbers: [91]
91,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 48:[18, 73], Operations: ['66-48=18', '66+7=73']
Exploring Operation: 73-18=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 18+73=91, Resulting Numbers: [91]
91,48 unequal: No Solution
Exploring Operation: 18*73=1314, Resulting Numbers: [1314]
1314,48 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: 48:[48, 66, 59], Operations: ['66-7=59']
Exploring Operation: 59-48=11, Resulting Numbers: [66, 11]
Generated Node #0,3,0: 48:[66, 11] Operation: 59-48=11
Exploring Operation: 48+59=107, Resulting Numbers: [66, 107]
Generated Node #0,3,1: 48:[66, 107] Operation: 48+59=107
Exploring Operation: 66-59=7, Resulting Numbers: [48, 7]
Generated Node #0,3,2: 48:[48, 7] Operation: 66-59=7
Exploring Operation: 48+66=114, Resulting Numbers: [59, 114]
Generated Node #0,3,3: 48:[59, 114] Operation: 48+66=114
Exploring Operation: 66-48=18, Resulting Numbers: [59, 18]
Generated Node #0,3,4: 48:[59, 18] Operation: 66-48=18
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 48:[48, 7], Operations: ['66-7=59', '66-59=7']
Exploring Operation: 48*7=336, Resulting Numbers: [336]
336,48 unequal: No Solution
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 48+7=55, Resulting Numbers: [55]
55,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 48:[59, 18], Operations: ['66-7=59', '66-48=18']
Exploring Operation: 59+18=77, Resulting Numbers: [77]
77,48 unequal: No Solution
Exploring Operation: 59*18=1062, Resulting Numbers: [1062]
1062,48 unequal: No Solution
Exploring Operation: 59-18=41, Resulting Numbers: [41]
41,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 48:[66, 11], Operations: ['66-7=59', '59-48=11']
Exploring Operation: 66-11=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 66+11=77, Resulting Numbers: [77]
77,48 unequal: No Solution
Exploring Operation: 66/11=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 66*11=726, Resulting Numbers: [726]
726,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 48:[66, 107], Operations: ['66-7=59', '48+59=107']
Exploring Operation: 66*107=7062, Resulting Numbers: [7062]
7062,48 unequal: No Solution
Exploring Operation: 66+107=173, Resulting Numbers: [173]
173,48 unequal: No Solution
Exploring Operation: 107-66=41, Resulting Numbers: [41]
41,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 48:[59, 114], Operations: ['66-7=59', '48+66=114']
Exploring Operation: 114-59=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 59+114=173, Resulting Numbers: [173]
173,48 unequal: No Solution
Exploring Operation: 59*114=6726, Resulting Numbers: [6726]
6726,48 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: 48:[7, 48], Operations: ['66-66=0', '48-0=48']
Exploring Operation: 7*48=336, Resulting Numbers: [336]
336,48 unequal: No Solution
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 7+48=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Moving to Node #0,0,2
Current State: 48:[48, 7], Operations: ['66-66=0', '7+0=7']
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 48*7=336, Resulting Numbers: [336]
336,48 unequal: No Solution
Exploring Operation: 48+7=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Moving to Node #0,1,4
Current State: 48:[7, 48], Operations: ['66-48=18', '66-18=48']
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 7+48=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 7*48=336, Resulting Numbers: [336]
336,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[48, 7], Operations: ['66-66=0', '7-0=7']
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 48+7=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 48*7=336, Resulting Numbers: [336]
336,48 unequal: No Solution
Moving to Node #0,0,4
Current State: 48:[7, 48], Operations: ['66-66=0', '48+0=48']
Exploring Operation: 48-7=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 7*48=336, Resulting Numbers: [336]
336,48 unequal: No Solution
Exploring Operation: 7+48=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Moving to Node #0,0,3
Current State: 48:[48, 0], Operations: ['66-66=0', '7*0=0']
Exploring Operation: 48-0=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[66, 48, 66, 7], Operations: []
Exploring Operation: 66-66=0, Resulting Numbers: [48, 7, 0]
Generated Node #0,0: 48:[48, 7, 0] Operation: 66-66=0
Moving to Node #0,0
Current State: 48:[48, 7, 0], Operations: ['66-66=0']
Exploring Operation: 7*0=0, Resulting Numbers: [48, 0]
Generated Node #0,0,3: 48:[48, 0] Operation: 7*0=0
Moving to Node #0,0,3
Current State: 48:[48, 0], Operations: ['66-66=0', '7*0=0']
Exploring Operation: 48-0=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 0.914063 | hs_5 | mult_heuristic |
[
52,
44,
77,
56
] | 20 | [
"44*56=2464",
"2464/77=32",
"52-32=20"
] | Current State: 20:[52, 44, 77, 56], Operations: []
Exploring Operation: 44*56=2464, Resulting Numbers: [52, 77, 2464]
Generated Node #2: [52, 77, 2464] from Operation: 44*56=2464
Current State: 20:[52, 77, 2464], Operations: ['44*56=2464']
Exploring Operation: 2464/77=32, Resulting Numbers: [52, 32]
Generated Node #3: [52, 32] from Operation: 2464/77=32
Current State: 20:[52, 32], Operations: ['44*56=2464', '2464/77=32']
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[52, 44, 77, 56], Operations: []
Exploring Operation: 77-56=21, Resulting Numbers: [52, 44, 21]
Generated Node #0,0: 20:[52, 44, 21] Operation: 77-56=21
Exploring Operation: 77-52=25, Resulting Numbers: [44, 56, 25]
Generated Node #0,1: 20:[44, 56, 25] Operation: 77-52=25
Exploring Operation: 56-52=4, Resulting Numbers: [44, 77, 4]
Generated Node #0,2: 20:[44, 77, 4] Operation: 56-52=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[52, 44, 21], Operations: ['77-56=21']
Exploring Operation: 52-44=8, Resulting Numbers: [21, 8]
Generated Node #0,0,0: 20:[21, 8] Operation: 52-44=8
Exploring Operation: 52-21=31, Resulting Numbers: [44, 31]
Generated Node #0,0,1: 20:[44, 31] Operation: 52-21=31
Exploring Operation: 44-21=23, Resulting Numbers: [52, 23]
Generated Node #0,0,2: 20:[52, 23] Operation: 44-21=23
Moving to Node #0,0,0
Current State: 20:[21, 8], Operations: ['77-56=21', '52-44=8']
Exploring Operation: 21*8=168, Resulting Numbers: [168]
168,20 unequal: No Solution
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,20 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,20 unequal: No Solution
Moving to Node #0,0,1
Current State: 20:[44, 31], Operations: ['77-56=21', '52-21=31']
Exploring Operation: 44-31=13, Resulting Numbers: [13]
13,20 unequal: No Solution
Exploring Operation: 44*31=1364, Resulting Numbers: [1364]
1364,20 unequal: No Solution
Exploring Operation: 44+31=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Moving to Node #0,0,2
Current State: 20:[52, 23], Operations: ['77-56=21', '44-21=23']
Exploring Operation: 52-23=29, Resulting Numbers: [29]
29,20 unequal: No Solution
Exploring Operation: 52+23=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 52*23=1196, Resulting Numbers: [1196]
1196,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 20:[44, 56, 25], Operations: ['77-52=25']
Exploring Operation: 56-44=12, Resulting Numbers: [25, 12]
Generated Node #0,1,0: 20:[25, 12] Operation: 56-44=12
Exploring Operation: 56-25=31, Resulting Numbers: [44, 31]
Generated Node #0,1,1: 20:[44, 31] Operation: 56-25=31
Exploring Operation: 44-25=19, Resulting Numbers: [56, 19]
Generated Node #0,1,2: 20:[56, 19] Operation: 44-25=19
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 20:[25, 12], Operations: ['77-52=25', '56-44=12']
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,20 unequal: No Solution
Exploring Operation: 25*12=300, Resulting Numbers: [300]
300,20 unequal: No Solution
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 20:[44, 31], Operations: ['77-52=25', '56-25=31']
Exploring Operation: 44+31=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 44-31=13, Resulting Numbers: [13]
13,20 unequal: No Solution
Exploring Operation: 44*31=1364, Resulting Numbers: [1364]
1364,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 20:[56, 19], Operations: ['77-52=25', '44-25=19']
Exploring Operation: 56-19=37, Resulting Numbers: [37]
37,20 unequal: No Solution
Exploring Operation: 56+19=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 56*19=1064, Resulting Numbers: [1064]
1064,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 20:[44, 77, 4], Operations: ['56-52=4']
Exploring Operation: 44-4=40, Resulting Numbers: [77, 40]
Generated Node #0,2,0: 20:[77, 40] Operation: 44-4=40
Exploring Operation: 44/4=11, Resulting Numbers: [77, 11]
Generated Node #0,2,1: 20:[77, 11] Operation: 44/4=11
Exploring Operation: 77-44=33, Resulting Numbers: [4, 33]
Generated Node #0,2,2: 20:[4, 33] Operation: 77-44=33
Moving to Node #0,2,2
Current State: 20:[4, 33], Operations: ['56-52=4', '77-44=33']
Exploring Operation: 4*33=132, Resulting Numbers: [132]
132,20 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,20 unequal: No Solution
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,20 unequal: No Solution
Moving to Node #0,2,1
Current State: 20:[77, 11], Operations: ['56-52=4', '44/4=11']
Exploring Operation: 77/11=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 77+11=88, Resulting Numbers: [88]
88,20 unequal: No Solution
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Moving to Node #0,2,0
Current State: 20:[77, 40], Operations: ['56-52=4', '44-4=40']
Exploring Operation: 77+40=117, Resulting Numbers: [117]
117,20 unequal: No Solution
Exploring Operation: 77-40=37, Resulting Numbers: [37]
37,20 unequal: No Solution
Exploring Operation: 77*40=3080, Resulting Numbers: [3080]
3080,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
9,
78,
34,
54
] | 21 | [
"9*78=702",
"702/54=13",
"34-13=21"
] | Current State: 21:[9, 78, 34, 54], Operations: []
Exploring Operation: 9*78=702, Resulting Numbers: [34, 54, 702]
Generated Node #2: [34, 54, 702] from Operation: 9*78=702
Current State: 21:[34, 54, 702], Operations: ['9*78=702']
Exploring Operation: 702/54=13, Resulting Numbers: [34, 13]
Generated Node #3: [34, 13] from Operation: 702/54=13
Current State: 21:[34, 13], Operations: ['9*78=702', '702/54=13']
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[9, 78, 34, 54], Operations: []
Exploring Operation: 78-54=24, Resulting Numbers: [9, 34, 24]
Generated Node #0,0: 21:[9, 34, 24] Operation: 78-54=24
Exploring Operation: 54-34=20, Resulting Numbers: [9, 78, 20]
Generated Node #0,1: 21:[9, 78, 20] Operation: 54-34=20
Exploring Operation: 78-9=69, Resulting Numbers: [34, 54, 69]
Generated Node #0,2: 21:[34, 54, 69] Operation: 78-9=69
Exploring Operation: 78-34=44, Resulting Numbers: [9, 54, 44]
Generated Node #0,3: 21:[9, 54, 44] Operation: 78-34=44
Exploring Operation: 54/9=6, Resulting Numbers: [78, 34, 6]
Generated Node #0,4: 21:[78, 34, 6] Operation: 54/9=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[9, 34, 24], Operations: ['78-54=24']
Exploring Operation: 9+34=43, Resulting Numbers: [24, 43]
Generated Node #0,0,0: 21:[24, 43] Operation: 9+34=43
Exploring Operation: 34-9=25, Resulting Numbers: [24, 25]
Generated Node #0,0,1: 21:[24, 25] Operation: 34-9=25
Exploring Operation: 24-9=15, Resulting Numbers: [34, 15]
Generated Node #0,0,2: 21:[34, 15] Operation: 24-9=15
Exploring Operation: 34-24=10, Resulting Numbers: [9, 10]
Generated Node #0,0,3: 21:[9, 10] Operation: 34-24=10
Exploring Operation: 9+24=33, Resulting Numbers: [34, 33]
Generated Node #0,0,4: 21:[34, 33] Operation: 9+24=33
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 21:[9, 10], Operations: ['78-54=24', '34-24=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,21 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 21:[24, 25], Operations: ['78-54=24', '34-9=25']
Exploring Operation: 24+25=49, Resulting Numbers: [49]
49,21 unequal: No Solution
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Exploring Operation: 24*25=600, Resulting Numbers: [600]
600,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 21:[34, 15], Operations: ['78-54=24', '24-9=15']
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,21 unequal: No Solution
Exploring Operation: 34*15=510, Resulting Numbers: [510]
510,21 unequal: No Solution
Exploring Operation: 34+15=49, Resulting Numbers: [49]
49,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 21:[24, 43], Operations: ['78-54=24', '9+34=43']
Exploring Operation: 24+43=67, Resulting Numbers: [67]
67,21 unequal: No Solution
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,21 unequal: No Solution
Exploring Operation: 24*43=1032, Resulting Numbers: [1032]
1032,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 21:[34, 33], Operations: ['78-54=24', '9+24=33']
Exploring Operation: 34*33=1122, Resulting Numbers: [1122]
1122,21 unequal: No Solution
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,21 unequal: No Solution
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 21:[9, 54, 44], Operations: ['78-34=44']
Exploring Operation: 54/9=6, Resulting Numbers: [44, 6]
Generated Node #0,3,0: 21:[44, 6] Operation: 54/9=6
Exploring Operation: 44-9=35, Resulting Numbers: [54, 35]
Generated Node #0,3,1: 21:[54, 35] Operation: 44-9=35
Exploring Operation: 9+54=63, Resulting Numbers: [44, 63]
Generated Node #0,3,2: 21:[44, 63] Operation: 9+54=63
Exploring Operation: 54-9=45, Resulting Numbers: [44, 45]
Generated Node #0,3,3: 21:[44, 45] Operation: 54-9=45
Exploring Operation: 54-44=10, Resulting Numbers: [9, 10]
Generated Node #0,3,4: 21:[9, 10] Operation: 54-44=10
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 21:[9, 10], Operations: ['78-34=44', '54-44=10']
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,21 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 21:[44, 6], Operations: ['78-34=44', '54/9=6']
Exploring Operation: 44*6=264, Resulting Numbers: [264]
264,21 unequal: No Solution
Exploring Operation: 44+6=50, Resulting Numbers: [50]
50,21 unequal: No Solution
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 21:[54, 35], Operations: ['78-34=44', '44-9=35']
Exploring Operation: 54-35=19, Resulting Numbers: [19]
19,21 unequal: No Solution
Exploring Operation: 54+35=89, Resulting Numbers: [89]
89,21 unequal: No Solution
Exploring Operation: 54*35=1890, Resulting Numbers: [1890]
1890,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 21:[44, 45], Operations: ['78-34=44', '54-9=45']
Exploring Operation: 44*45=1980, Resulting Numbers: [1980]
1980,21 unequal: No Solution
Exploring Operation: 44+45=89, Resulting Numbers: [89]
89,21 unequal: No Solution
Exploring Operation: 45-44=1, Resulting Numbers: [1]
1,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 21:[44, 63], Operations: ['78-34=44', '9+54=63']
Exploring Operation: 44*63=2772, Resulting Numbers: [2772]
2772,21 unequal: No Solution
Exploring Operation: 44+63=107, Resulting Numbers: [107]
107,21 unequal: No Solution
Exploring Operation: 63-44=19, Resulting Numbers: [19]
19,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[9, 78, 20], Operations: ['54-34=20']
Exploring Operation: 9+78=87, Resulting Numbers: [20, 87]
Generated Node #0,1,0: 21:[20, 87] Operation: 9+78=87
Exploring Operation: 9+20=29, Resulting Numbers: [78, 29]
Generated Node #0,1,1: 21:[78, 29] Operation: 9+20=29
Exploring Operation: 20-9=11, Resulting Numbers: [78, 11]
Generated Node #0,1,2: 21:[78, 11] Operation: 20-9=11
Exploring Operation: 78-9=69, Resulting Numbers: [20, 69]
Generated Node #0,1,3: 21:[20, 69] Operation: 78-9=69
Exploring Operation: 78-20=58, Resulting Numbers: [9, 58]
Generated Node #0,1,4: 21:[9, 58] Operation: 78-20=58
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 21:[9, 58], Operations: ['54-34=20', '78-20=58']
Exploring Operation: 9*58=522, Resulting Numbers: [522]
522,21 unequal: No Solution
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,21 unequal: No Solution
Exploring Operation: 9+58=67, Resulting Numbers: [67]
67,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 21:[20, 69], Operations: ['54-34=20', '78-9=69']
Exploring Operation: 20+69=89, Resulting Numbers: [89]
89,21 unequal: No Solution
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,21 unequal: No Solution
Exploring Operation: 20*69=1380, Resulting Numbers: [1380]
1380,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 21:[78, 11], Operations: ['54-34=20', '20-9=11']
Exploring Operation: 78*11=858, Resulting Numbers: [858]
858,21 unequal: No Solution
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,21 unequal: No Solution
Exploring Operation: 78+11=89, Resulting Numbers: [89]
89,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 21:[78, 29], Operations: ['54-34=20', '9+20=29']
Exploring Operation: 78-29=49, Resulting Numbers: [49]
49,21 unequal: No Solution
Exploring Operation: 78+29=107, Resulting Numbers: [107]
107,21 unequal: No Solution
Exploring Operation: 78*29=2262, Resulting Numbers: [2262]
2262,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 21:[20, 87], Operations: ['54-34=20', '9+78=87']
Exploring Operation: 20*87=1740, Resulting Numbers: [1740]
1740,21 unequal: No Solution
Exploring Operation: 20+87=107, Resulting Numbers: [107]
107,21 unequal: No Solution
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 21:[78, 34, 6], Operations: ['54/9=6']
Exploring Operation: 34-6=28, Resulting Numbers: [78, 28]
Generated Node #0,4,0: 21:[78, 28] Operation: 34-6=28
Exploring Operation: 78-6=72, Resulting Numbers: [34, 72]
Generated Node #0,4,1: 21:[34, 72] Operation: 78-6=72
Exploring Operation: 78+6=84, Resulting Numbers: [34, 84]
Generated Node #0,4,2: 21:[34, 84] Operation: 78+6=84
Exploring Operation: 78-34=44, Resulting Numbers: [6, 44]
Generated Node #0,4,3: 21:[6, 44] Operation: 78-34=44
Exploring Operation: 78/6=13, Resulting Numbers: [34, 13]
Generated Node #0,4,4: 21:[34, 13] Operation: 78/6=13
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 21:[34, 13], Operations: ['54/9=6', '78/6=13']
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[9, 78, 34, 54], Operations: []
Exploring Operation: 54/9=6, Resulting Numbers: [78, 34, 6]
Generated Node #0,4: 21:[78, 34, 6] Operation: 54/9=6
Moving to Node #0,4
Current State: 21:[78, 34, 6], Operations: ['54/9=6']
Exploring Operation: 78/6=13, Resulting Numbers: [34, 13]
Generated Node #0,4,4: 21:[34, 13] Operation: 78/6=13
Moving to Node #0,4,4
Current State: 21:[34, 13], Operations: ['54/9=6', '78/6=13']
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.934896 | hs_5 | mult_heuristic |
[
49,
96,
1,
60
] | 85 | [
"49+96=145",
"1*60=60",
"145-60=85"
] | Current State: 85:[49, 96, 1, 60], Operations: []
Exploring Operation: 49+96=145, Resulting Numbers: [1, 60, 145]
Generated Node #2: [1, 60, 145] from Operation: 49+96=145
Current State: 85:[1, 60, 145], Operations: ['49+96=145']
Exploring Operation: 1*60=60, Resulting Numbers: [145, 60]
Generated Node #3: [145, 60] from Operation: 1*60=60
Current State: 85:[145, 60], Operations: ['49+96=145', '1*60=60']
Exploring Operation: 145-60=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[49, 96, 1, 60], Operations: []
Exploring Operation: 96-60=36, Resulting Numbers: [49, 1, 36]
Generated Node #0,0: 85:[49, 1, 36] Operation: 96-60=36
Exploring Operation: 96-49=47, Resulting Numbers: [1, 60, 47]
Generated Node #0,1: 85:[1, 60, 47] Operation: 96-49=47
Exploring Operation: 49+60=109, Resulting Numbers: [96, 1, 109]
Generated Node #0,2: 85:[96, 1, 109] Operation: 49+60=109
Exploring Operation: 60-49=11, Resulting Numbers: [96, 1, 11]
Generated Node #0,3: 85:[96, 1, 11] Operation: 60-49=11
Start Sub Search at level 1: Moving to Node #0,3
Current State: 85:[96, 1, 11], Operations: ['60-49=11']
Exploring Operation: 96-1=95, Resulting Numbers: [11, 95]
Generated Node #0,3,0: 85:[11, 95] Operation: 96-1=95
Exploring Operation: 11-1=10, Resulting Numbers: [96, 10]
Generated Node #0,3,1: 85:[96, 10] Operation: 11-1=10
Exploring Operation: 96-11=85, Resulting Numbers: [1, 85]
Generated Node #0,3,2: 85:[1, 85] Operation: 96-11=85
Exploring Operation: 1+11=12, Resulting Numbers: [96, 12]
Generated Node #0,3,3: 85:[96, 12] Operation: 1+11=12
Moving to Node #0,3,2
Current State: 85:[1, 85], Operations: ['60-49=11', '96-11=85']
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,85 unequal: No Solution
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[49, 96, 1, 60], Operations: []
Exploring Operation: 60-49=11, Resulting Numbers: [96, 1, 11]
Generated Node #0,3: 85:[96, 1, 11] Operation: 60-49=11
Moving to Node #0,3
Current State: 85:[96, 1, 11], Operations: ['60-49=11']
Exploring Operation: 96-11=85, Resulting Numbers: [1, 85]
Generated Node #0,3,2: 85:[1, 85] Operation: 96-11=85
Moving to Node #0,3,2
Current State: 85:[1, 85], Operations: ['60-49=11', '96-11=85']
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
45,
49,
24,
38
] | 56 | [
"49-45=4",
"38-24=14",
"4*14=56"
] | Current State: 56:[45, 49, 24, 38], Operations: []
Exploring Operation: 49-45=4, Resulting Numbers: [24, 38, 4]
Generated Node #2: [24, 38, 4] from Operation: 49-45=4
Current State: 56:[24, 38, 4], Operations: ['49-45=4']
Exploring Operation: 38-24=14, Resulting Numbers: [4, 14]
Generated Node #3: [4, 14] from Operation: 38-24=14
Current State: 56:[4, 14], Operations: ['49-45=4', '38-24=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[45, 49, 24, 38], Operations: []
Exploring Operation: 38-24=14, Resulting Numbers: [45, 49, 14]
Generated Node #0,0: 56:[45, 49, 14] Operation: 38-24=14
Exploring Operation: 45-38=7, Resulting Numbers: [49, 24, 7]
Generated Node #0,1: 56:[49, 24, 7] Operation: 45-38=7
Exploring Operation: 49-38=11, Resulting Numbers: [45, 24, 11]
Generated Node #0,2: 56:[45, 24, 11] Operation: 49-38=11
Exploring Operation: 49-45=4, Resulting Numbers: [24, 38, 4]
Generated Node #0,3: 56:[24, 38, 4] Operation: 49-45=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[49, 24, 7], Operations: ['45-38=7']
Exploring Operation: 49+7=56, Resulting Numbers: [24, 56]
Generated Node #0,1,0: 56:[24, 56] Operation: 49+7=56
Exploring Operation: 49-24=25, Resulting Numbers: [7, 25]
Generated Node #0,1,1: 56:[7, 25] Operation: 49-24=25
Exploring Operation: 49/7=7, Resulting Numbers: [24, 7]
Generated Node #0,1,2: 56:[24, 7] Operation: 49/7=7
Exploring Operation: 24+7=31, Resulting Numbers: [49, 31]
Generated Node #0,1,3: 56:[49, 31] Operation: 24+7=31
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 56:[7, 25], Operations: ['45-38=7', '49-24=25']
Exploring Operation: 7+25=32, Resulting Numbers: [32]
32,56 unequal: No Solution
Exploring Operation: 7*25=175, Resulting Numbers: [175]
175,56 unequal: No Solution
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,56 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:[24, 56], Operations: ['45-38=7', '49+7=56']
Exploring Operation: 24+56=80, Resulting Numbers: [80]
80,56 unequal: No Solution
Exploring Operation: 24*56=1344, Resulting Numbers: [1344]
1344,56 unequal: No Solution
Exploring Operation: 56-24=32, Resulting Numbers: [32]
32,56 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 #0,1,2
Current State: 56:[24, 7], Operations: ['45-38=7', '49/7=7']
Exploring Operation: 24+7=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,56 unequal: No Solution
Exploring Operation: 24*7=168, Resulting Numbers: [168]
168,56 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 #0,1,3
Current State: 56:[49, 31], Operations: ['45-38=7', '24+7=31']
Exploring Operation: 49-31=18, Resulting Numbers: [18]
18,56 unequal: No Solution
Exploring Operation: 49*31=1519, Resulting Numbers: [1519]
1519,56 unequal: No Solution
Exploring Operation: 49+31=80, Resulting Numbers: [80]
80,56 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: 56:[24, 38, 4], Operations: ['49-45=4']
Exploring Operation: 38-24=14, Resulting Numbers: [4, 14]
Generated Node #0,3,0: 56:[4, 14] Operation: 38-24=14
Exploring Operation: 24+38=62, Resulting Numbers: [4, 62]
Generated Node #0,3,1: 56:[4, 62] Operation: 24+38=62
Exploring Operation: 24+4=28, Resulting Numbers: [38, 28]
Generated Node #0,3,2: 56:[38, 28] Operation: 24+4=28
Exploring Operation: 38-4=34, Resulting Numbers: [24, 34]
Generated Node #0,3,3: 56:[24, 34] Operation: 38-4=34
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 56:[4, 14], Operations: ['49-45=4', '38-24=14']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,56 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[45, 49, 24, 38], Operations: []
Exploring Operation: 49-45=4, Resulting Numbers: [24, 38, 4]
Generated Node #0,3: 56:[24, 38, 4] Operation: 49-45=4
Moving to Node #0,3
Current State: 56:[24, 38, 4], Operations: ['49-45=4']
Exploring Operation: 38-24=14, Resulting Numbers: [4, 14]
Generated Node #0,3,0: 56:[4, 14] Operation: 38-24=14
Moving to Node #0,3,0
Current State: 56:[4, 14], Operations: ['49-45=4', '38-24=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 | hs_4 | mult_heuristic |
[
11,
97,
32,
41
] | 77 | [
"97-11=86",
"41-32=9",
"86-9=77"
] | Current State: 77:[11, 97, 32, 41], Operations: []
Exploring Operation: 97-11=86, Resulting Numbers: [32, 41, 86]
Generated Node #2: [32, 41, 86] from Operation: 97-11=86
Current State: 77:[32, 41, 86], Operations: ['97-11=86']
Exploring Operation: 41-32=9, Resulting Numbers: [86, 9]
Generated Node #3: [86, 9] from Operation: 41-32=9
Current State: 77:[86, 9], Operations: ['97-11=86', '41-32=9']
Exploring Operation: 86-9=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[11, 97, 32, 41], Operations: []
Exploring Operation: 97-32=65, Resulting Numbers: [11, 41, 65]
Generated Node #0,0: 77:[11, 41, 65] Operation: 97-32=65
Exploring Operation: 32+41=73, Resulting Numbers: [11, 97, 73]
Generated Node #0,1: 77:[11, 97, 73] Operation: 32+41=73
Exploring Operation: 41-32=9, Resulting Numbers: [11, 97, 9]
Generated Node #0,2: 77:[11, 97, 9] Operation: 41-32=9
Moving to Node #0,2
Current State: 77:[11, 97, 9], Operations: ['41-32=9']
Exploring Operation: 97-11=86, Resulting Numbers: [9, 86]
Generated Node #0,2,0: 77:[9, 86] Operation: 97-11=86
Exploring Operation: 11-9=2, Resulting Numbers: [97, 2]
Generated Node #0,2,1: 77:[97, 2] Operation: 11-9=2
Exploring Operation: 97-9=88, Resulting Numbers: [11, 88]
Generated Node #0,2,2: 77:[11, 88] Operation: 97-9=88
Moving to Node #0,1
Current State: 77:[11, 97, 73], Operations: ['32+41=73']
Exploring Operation: 11+73=84, Resulting Numbers: [97, 84]
Generated Node #0,1,0: 77:[97, 84] Operation: 11+73=84
Exploring Operation: 97-11=86, Resulting Numbers: [73, 86]
Generated Node #0,1,1: 77:[73, 86] Operation: 97-11=86
Exploring Operation: 97-73=24, Resulting Numbers: [11, 24]
Generated Node #0,1,2: 77:[11, 24] Operation: 97-73=24
Moving to Node #0,0
Current State: 77:[11, 41, 65], Operations: ['97-32=65']
Exploring Operation: 41+65=106, Resulting Numbers: [11, 106]
Generated Node #0,0,0: 77:[11, 106] Operation: 41+65=106
Exploring Operation: 41-11=30, Resulting Numbers: [65, 30]
Generated Node #0,0,1: 77:[65, 30] Operation: 41-11=30
Exploring Operation: 65-41=24, Resulting Numbers: [11, 24]
Generated Node #0,0,2: 77:[11, 24] Operation: 65-41=24
Moving to Node #0,2,0
Current State: 77:[9, 86], Operations: ['41-32=9', '97-11=86']
Exploring Operation: 9*86=774, Resulting Numbers: [774]
774,77 unequal: No Solution
Exploring Operation: 9+86=95, Resulting Numbers: [95]
95,77 unequal: No Solution
Exploring Operation: 86-9=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[11, 97, 32, 41], Operations: []
Exploring Operation: 41-32=9, Resulting Numbers: [11, 97, 9]
Generated Node #0,2: 77:[11, 97, 9] Operation: 41-32=9
Moving to Node #0,2
Current State: 77:[11, 97, 9], Operations: ['41-32=9']
Exploring Operation: 97-11=86, Resulting Numbers: [9, 86]
Generated Node #0,2,0: 77:[9, 86] Operation: 97-11=86
Moving to Node #0,2,0
Current State: 77:[9, 86], Operations: ['41-32=9', '97-11=86']
Exploring Operation: 86-9=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 0.983507 | hs_3 | sum_heuristic |
[
52,
88,
52,
78
] | 80 | [
"88*78=6864",
"6864/52=132",
"132-52=80"
] | Current State: 80:[52, 88, 52, 78], Operations: []
Exploring Operation: 88*78=6864, Resulting Numbers: [52, 52, 6864]
Generated Node #2: [52, 52, 6864] from Operation: 88*78=6864
Current State: 80:[52, 52, 6864], Operations: ['88*78=6864']
Exploring Operation: 6864/52=132, Resulting Numbers: [132]
132,80 equal: Goal Reached
Exploring Operation: 132-52=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[52, 88, 52, 78], Operations: []
Exploring Operation: 52/52=1, Resulting Numbers: [88, 78, 1]
Generated Node #0,0: 80:[88, 78, 1] Operation: 52/52=1
Exploring Operation: 52-52=0, Resulting Numbers: [88, 78, 0]
Generated Node #0,1: 80:[88, 78, 0] Operation: 52-52=0
Exploring Operation: 88-52=36, Resulting Numbers: [52, 78, 36]
Generated Node #0,2: 80:[52, 78, 36] Operation: 88-52=36
Exploring Operation: 88-52=36, Resulting Numbers: [52, 78, 36]
Generated Node #0,3: 80:[52, 78, 36] Operation: 88-52=36
Exploring Operation: 88-78=10, Resulting Numbers: [52, 52, 10]
Generated Node #0,4: 80:[52, 52, 10] Operation: 88-78=10
Moving to Node #0,0
Current State: 80:[88, 78, 1], Operations: ['52/52=1']
Exploring Operation: 88/1=88, Resulting Numbers: [78, 88]
Generated Node #0,0,0: 80:[78, 88] Operation: 88/1=88
Exploring Operation: 88-1=87, Resulting Numbers: [78, 87]
Generated Node #0,0,1: 80:[78, 87] Operation: 88-1=87
Exploring Operation: 88-78=10, Resulting Numbers: [1, 10]
Generated Node #0,0,2: 80:[1, 10] Operation: 88-78=10
Exploring Operation: 88*1=88, Resulting Numbers: [78, 88]
Generated Node #0,0,3: 80:[78, 88] Operation: 88*1=88
Exploring Operation: 78+1=79, Resulting Numbers: [88, 79]
Generated Node #0,0,4: 80:[88, 79] Operation: 78+1=79
Moving to Node #0,1
Current State: 80:[88, 78, 0], Operations: ['52-52=0']
Exploring Operation: 88+0=88, Resulting Numbers: [78, 88]
Generated Node #0,1,0: 80:[78, 88] Operation: 88+0=88
Exploring Operation: 78+0=78, Resulting Numbers: [88, 78]
Generated Node #0,1,1: 80:[88, 78] Operation: 78+0=78
Exploring Operation: 88-78=10, Resulting Numbers: [0, 10]
Generated Node #0,1,2: 80:[0, 10] Operation: 88-78=10
Exploring Operation: 88-0=88, Resulting Numbers: [78, 88]
Generated Node #0,1,3: 80:[78, 88] Operation: 88-0=88
Exploring Operation: 88*0=0, Resulting Numbers: [78, 0]
Generated Node #0,1,4: 80:[78, 0] Operation: 88*0=0
Moving to Node #0,2
Current State: 80:[52, 78, 36], Operations: ['88-52=36']
Exploring Operation: 78+36=114, Resulting Numbers: [52, 114]
Generated Node #0,2,0: 80:[52, 114] Operation: 78+36=114
Exploring Operation: 78-36=42, Resulting Numbers: [52, 42]
Generated Node #0,2,1: 80:[52, 42] Operation: 78-36=42
Exploring Operation: 52-36=16, Resulting Numbers: [78, 16]
Generated Node #0,2,2: 80:[78, 16] Operation: 52-36=16
Exploring Operation: 52+36=88, Resulting Numbers: [78, 88]
Generated Node #0,2,3: 80:[78, 88] Operation: 52+36=88
Exploring Operation: 78-52=26, Resulting Numbers: [36, 26]
Generated Node #0,2,4: 80:[36, 26] Operation: 78-52=26
Moving to Node #0,3
Current State: 80:[52, 78, 36], Operations: ['88-52=36']
Exploring Operation: 52-36=16, Resulting Numbers: [78, 16]
Generated Node #0,3,0: 80:[78, 16] Operation: 52-36=16
Exploring Operation: 78+36=114, Resulting Numbers: [52, 114]
Generated Node #0,3,1: 80:[52, 114] Operation: 78+36=114
Exploring Operation: 78-52=26, Resulting Numbers: [36, 26]
Generated Node #0,3,2: 80:[36, 26] Operation: 78-52=26
Exploring Operation: 52+36=88, Resulting Numbers: [78, 88]
Generated Node #0,3,3: 80:[78, 88] Operation: 52+36=88
Exploring Operation: 78-36=42, Resulting Numbers: [52, 42]
Generated Node #0,3,4: 80:[52, 42] Operation: 78-36=42
Moving to Node #0,4
Current State: 80:[52, 52, 10], Operations: ['88-78=10']
Exploring Operation: 52-10=42, Resulting Numbers: [52, 42]
Generated Node #0,4,0: 80:[52, 42] Operation: 52-10=42
Exploring Operation: 52+52=104, Resulting Numbers: [10, 104]
Generated Node #0,4,1: 80:[10, 104] Operation: 52+52=104
Exploring Operation: 52/52=1, Resulting Numbers: [10, 1]
Generated Node #0,4,2: 80:[10, 1] Operation: 52/52=1
Exploring Operation: 52-52=0, Resulting Numbers: [10, 0]
Generated Node #0,4,3: 80:[10, 0] Operation: 52-52=0
Exploring Operation: 52-10=42, Resulting Numbers: [52, 42]
Generated Node #0,4,4: 80:[52, 42] Operation: 52-10=42
Moving to Node #0,0,2
Current State: 80:[1, 10], Operations: ['52/52=1', '88-78=10']
Exploring Operation: 1*10=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Exploring Operation: 10/1=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 1+10=11, Resulting Numbers: [11]
11,80 unequal: No Solution
Moving to Node #0,4,2
Current State: 80:[10, 1], Operations: ['88-78=10', '52/52=1']
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Exploring Operation: 10/1=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,80 unequal: No Solution
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Moving to Node #0,1,2
Current State: 80:[0, 10], Operations: ['52-52=0', '88-78=10']
Exploring Operation: 0*10=0, Resulting Numbers: [0]
0,80 unequal: No Solution
Exploring Operation: 10-0=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 0+10=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Moving to Node #0,2,2
Current State: 80:[78, 16], Operations: ['88-52=36', '52-36=16']
Exploring Operation: 78+16=94, Resulting Numbers: [94]
94,80 unequal: No Solution
Exploring Operation: 78-16=62, Resulting Numbers: [62]
62,80 unequal: No Solution
Exploring Operation: 78*16=1248, Resulting Numbers: [1248]
1248,80 unequal: No Solution
Moving to Node #0,4,3
Current State: 80:[10, 0], Operations: ['88-78=10', '52-52=0']
Exploring Operation: 10-0=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 10*0=0, Resulting Numbers: [0]
0,80 unequal: No Solution
Exploring Operation: 10+0=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Moving to Node #0,3,0
Current State: 80:[78, 16], Operations: ['88-52=36', '52-36=16']
Exploring Operation: 78-16=62, Resulting Numbers: [62]
62,80 unequal: No Solution
Exploring Operation: 78+16=94, Resulting Numbers: [94]
94,80 unequal: No Solution
Exploring Operation: 78*16=1248, Resulting Numbers: [1248]
1248,80 unequal: No Solution
Moving to Node #0,1,4
Current State: 80:[78, 0], Operations: ['52-52=0', '88*0=0']
Exploring Operation: 78*0=0, Resulting Numbers: [0]
0,80 unequal: No Solution
Exploring Operation: 78+0=78, Resulting Numbers: [78]
78,80 unequal: No Solution
Exploring Operation: 78-0=78, Resulting Numbers: [78]
78,80 unequal: No Solution
Moving to Node #0,0,4
Current State: 80:[88, 79], Operations: ['52/52=1', '78+1=79']
Exploring Operation: 88+79=167, Resulting Numbers: [167]
167,80 unequal: No Solution
Exploring Operation: 88-79=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Exploring Operation: 88*79=6952, Resulting Numbers: [6952]
6952,80 unequal: No Solution
Moving to Node #0,0,1
Current State: 80:[78, 87], Operations: ['52/52=1', '88-1=87']
Exploring Operation: 87-78=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Exploring Operation: 78+87=165, Resulting Numbers: [165]
165,80 unequal: No Solution
Exploring Operation: 78*87=6786, Resulting Numbers: [6786]
6786,80 unequal: No Solution
Moving to Node #0,2,4
Current State: 80:[36, 26], Operations: ['88-52=36', '78-52=26']
Exploring Operation: 36*26=936, Resulting Numbers: [936]
936,80 unequal: No Solution
Exploring Operation: 36-26=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 36+26=62, Resulting Numbers: [62]
62,80 unequal: No Solution
Moving to Node #0,2,3
Current State: 80:[78, 88], Operations: ['88-52=36', '52+36=88']
Exploring Operation: 78+88=166, Resulting Numbers: [166]
166,80 unequal: No Solution
Exploring Operation: 88-78=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 78*88=6864, Resulting Numbers: [6864]
6864,80 unequal: No Solution
Moving to Node #0,3,2
Current State: 80:[36, 26], Operations: ['88-52=36', '78-52=26']
Exploring Operation: 36-26=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 36+26=62, Resulting Numbers: [62]
62,80 unequal: No Solution
Exploring Operation: 36*26=936, Resulting Numbers: [936]
936,80 unequal: No Solution
Moving to Node #0,1,0
Current State: 80:[78, 88], Operations: ['52-52=0', '88+0=88']
Exploring Operation: 78+88=166, Resulting Numbers: [166]
166,80 unequal: No Solution
Exploring Operation: 88-78=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 78*88=6864, Resulting Numbers: [6864]
6864,80 unequal: No Solution
Moving to Node #0,0,3
Current State: 80:[78, 88], Operations: ['52/52=1', '88*1=88']
Exploring Operation: 78*88=6864, Resulting Numbers: [6864]
6864,80 unequal: No Solution
Exploring Operation: 78+88=166, Resulting Numbers: [166]
166,80 unequal: No Solution
Exploring Operation: 88-78=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Moving to Node #0,1,3
Current State: 80:[78, 88], Operations: ['52-52=0', '88-0=88']
Exploring Operation: 88-78=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 78+88=166, Resulting Numbers: [166]
166,80 unequal: No Solution
Exploring Operation: 78*88=6864, Resulting Numbers: [6864]
6864,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[88, 78], Operations: ['52-52=0', '78+0=78']
Exploring Operation: 88-78=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 88+78=166, Resulting Numbers: [166]
166,80 unequal: No Solution
Exploring Operation: 88*78=6864, Resulting Numbers: [6864]
6864,80 unequal: No Solution
Moving to Node #0,3,3
Current State: 80:[78, 88], Operations: ['88-52=36', '52+36=88']
Exploring Operation: 88-78=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 78+88=166, Resulting Numbers: [166]
166,80 unequal: No Solution
Exploring Operation: 78*88=6864, Resulting Numbers: [6864]
6864,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[78, 88], Operations: ['52/52=1', '88/1=88']
Exploring Operation: 78+88=166, Resulting Numbers: [166]
166,80 unequal: No Solution
Exploring Operation: 88-78=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 78*88=6864, Resulting Numbers: [6864]
6864,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[52, 42], Operations: ['88-52=36', '78-36=42']
Exploring Operation: 52+42=94, Resulting Numbers: [94]
94,80 unequal: No Solution
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 52*42=2184, Resulting Numbers: [2184]
2184,80 unequal: No Solution
Moving to Node #0,4,4
Current State: 80:[52, 42], Operations: ['88-78=10', '52-10=42']
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 52+42=94, Resulting Numbers: [94]
94,80 unequal: No Solution
Exploring Operation: 52*42=2184, Resulting Numbers: [2184]
2184,80 unequal: No Solution
Moving to Node #0,3,4
Current State: 80:[52, 42], Operations: ['88-52=36', '78-36=42']
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 52*42=2184, Resulting Numbers: [2184]
2184,80 unequal: No Solution
Exploring Operation: 52+42=94, Resulting Numbers: [94]
94,80 unequal: No Solution
Moving to Node #0,4,0
Current State: 80:[52, 42], Operations: ['88-78=10', '52-10=42']
Exploring Operation: 52+42=94, Resulting Numbers: [94]
94,80 unequal: No Solution
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 52*42=2184, Resulting Numbers: [2184]
2184,80 unequal: No Solution
Moving to Node #0,4,1
Current State: 80:[10, 104], Operations: ['88-78=10', '52+52=104']
Exploring Operation: 10*104=1040, Resulting Numbers: [1040]
1040,80 unequal: No Solution
Exploring Operation: 10+104=114, Resulting Numbers: [114]
114,80 unequal: No Solution
Exploring Operation: 104-10=94, Resulting Numbers: [94]
94,80 unequal: No Solution
Moving to Node #0,2,0
Current State: 80:[52, 114], Operations: ['88-52=36', '78+36=114']
Exploring Operation: 114-52=62, Resulting Numbers: [62]
62,80 unequal: No Solution
Exploring Operation: 52+114=166, Resulting Numbers: [166]
166,80 unequal: No Solution
Exploring Operation: 52*114=5928, Resulting Numbers: [5928]
5928,80 unequal: No Solution
Moving to Node #0,3,1
Current State: 80:[52, 114], Operations: ['88-52=36', '78+36=114']
Exploring Operation: 52+114=166, Resulting Numbers: [166]
166,80 unequal: No Solution
Exploring Operation: 114-52=62, Resulting Numbers: [62]
62,80 unequal: No Solution
Exploring Operation: 52*114=5928, Resulting Numbers: [5928]
5928,80 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
99,
7,
79,
94
] | 77 | [
"99-7=92",
"94-79=15",
"92-15=77"
] | Current State: 77:[99, 7, 79, 94], Operations: []
Exploring Operation: 99-7=92, Resulting Numbers: [79, 94, 92]
Generated Node #2: [79, 94, 92] from Operation: 99-7=92
Current State: 77:[79, 94, 92], Operations: ['99-7=92']
Exploring Operation: 94-79=15, Resulting Numbers: [92, 15]
Generated Node #3: [92, 15] from Operation: 94-79=15
Current State: 77:[92, 15], Operations: ['99-7=92', '94-79=15']
Exploring Operation: 92-15=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[99, 7, 79, 94], Operations: []
Exploring Operation: 94-79=15, Resulting Numbers: [99, 7, 15]
Generated Node #0,0: 77:[99, 7, 15] Operation: 94-79=15
Exploring Operation: 99-94=5, Resulting Numbers: [7, 79, 5]
Generated Node #0,1: 77:[7, 79, 5] Operation: 99-94=5
Exploring Operation: 99-79=20, Resulting Numbers: [7, 94, 20]
Generated Node #0,2: 77:[7, 94, 20] Operation: 99-79=20
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[7, 79, 5], Operations: ['99-94=5']
Exploring Operation: 79-7=72, Resulting Numbers: [5, 72]
Generated Node #0,1,0: 77:[5, 72] Operation: 79-7=72
Exploring Operation: 7+5=12, Resulting Numbers: [79, 12]
Generated Node #0,1,1: 77:[79, 12] Operation: 7+5=12
Exploring Operation: 79-5=74, Resulting Numbers: [7, 74]
Generated Node #0,1,2: 77:[7, 74] Operation: 79-5=74
Moving to Node #0,1,1
Current State: 77:[79, 12], Operations: ['99-94=5', '7+5=12']
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,77 unequal: No Solution
Exploring Operation: 79+12=91, Resulting Numbers: [91]
91,77 unequal: No Solution
Exploring Operation: 79*12=948, Resulting Numbers: [948]
948,77 unequal: No Solution
Moving to Node #0,1,2
Current State: 77:[7, 74], Operations: ['99-94=5', '79-5=74']
Exploring Operation: 7*74=518, Resulting Numbers: [518]
518,77 unequal: No Solution
Exploring Operation: 7+74=81, Resulting Numbers: [81]
81,77 unequal: No Solution
Exploring Operation: 74-7=67, Resulting Numbers: [67]
67,77 unequal: No Solution
Moving to Node #0,1,0
Current State: 77:[5, 72], Operations: ['99-94=5', '79-7=72']
Exploring Operation: 5+72=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[99, 7, 79, 94], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [7, 79, 5]
Generated Node #0,1: 77:[7, 79, 5] Operation: 99-94=5
Moving to Node #0,1
Current State: 77:[7, 79, 5], Operations: ['99-94=5']
Exploring Operation: 79-7=72, Resulting Numbers: [5, 72]
Generated Node #0,1,0: 77:[5, 72] Operation: 79-7=72
Moving to Node #0,1,0
Current State: 77:[5, 72], Operations: ['99-94=5', '79-7=72']
Exploring Operation: 5+72=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | mult_heuristic |
[
2,
5,
25,
4
] | 64 | [
"5+25=30",
"2*30=60",
"4+60=64"
] | Current State: 64:[2, 5, 25, 4], Operations: []
Exploring Operation: 5+25=30, Resulting Numbers: [2, 4, 30]
Generated Node #2: [2, 4, 30] from Operation: 5+25=30
Current State: 64:[2, 4, 30], Operations: ['5+25=30']
Exploring Operation: 2*30=60, Resulting Numbers: [4, 60]
Generated Node #3: [4, 60] from Operation: 2*30=60
Current State: 64:[4, 60], Operations: ['5+25=30', '2*30=60']
Exploring Operation: 4+60=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[2, 5, 25, 4], Operations: []
Exploring Operation: 5+25=30, Resulting Numbers: [2, 4, 30]
Generated Node #0,0: 64:[2, 4, 30] Operation: 5+25=30
Exploring Operation: 25/5=5, Resulting Numbers: [2, 4, 5]
Generated Node #0,1: 64:[2, 4, 5] Operation: 25/5=5
Exploring Operation: 25-5=20, Resulting Numbers: [2, 4, 20]
Generated Node #0,2: 64:[2, 4, 20] Operation: 25-5=20
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[2, 4, 5], Operations: ['25/5=5']
Exploring Operation: 4-2=2, Resulting Numbers: [5, 2]
Generated Node #0,1,0: 64:[5, 2] Operation: 4-2=2
Exploring Operation: 2*4=8, Resulting Numbers: [5, 8]
Generated Node #0,1,1: 64:[5, 8] Operation: 2*4=8
Exploring Operation: 4/2=2, Resulting Numbers: [5, 2]
Generated Node #0,1,2: 64:[5, 2] Operation: 4/2=2
Moving to Node #0,1,0
Current State: 64:[5, 2], Operations: ['25/5=5', '4-2=2']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[5, 8], Operations: ['25/5=5', '2*4=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,64 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[5, 2], Operations: ['25/5=5', '4/2=2']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,64 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
Current State: 64:[2, 4, 30], Operations: ['5+25=30']
Exploring Operation: 30/2=15, Resulting Numbers: [4, 15]
Generated Node #0,0,0: 64:[4, 15] Operation: 30/2=15
Exploring Operation: 2*4=8, Resulting Numbers: [30, 8]
Generated Node #0,0,1: 64:[30, 8] Operation: 2*4=8
Exploring Operation: 2+30=32, Resulting Numbers: [4, 32]
Generated Node #0,0,2: 64:[4, 32] Operation: 2+30=32
Moving to Node #0,0,2
Current State: 64:[4, 32], Operations: ['5+25=30', '2+30=32']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,64 unequal: No Solution
Exploring Operation: 4+32=36, Resulting Numbers: [36]
36,64 unequal: No Solution
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[4, 15], Operations: ['5+25=30', '30/2=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,64 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[30, 8], Operations: ['5+25=30', '2*4=8']
Exploring Operation: 30+8=38, Resulting Numbers: [38]
38,64 unequal: No Solution
Exploring Operation: 30*8=240, Resulting Numbers: [240]
240,64 unequal: No Solution
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,64 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
Current State: 64:[2, 4, 20], Operations: ['25-5=20']
Exploring Operation: 20-2=18, Resulting Numbers: [4, 18]
Generated Node #0,2,0: 64:[4, 18] Operation: 20-2=18
Exploring Operation: 20-4=16, Resulting Numbers: [2, 16]
Generated Node #0,2,1: 64:[2, 16] Operation: 20-4=16
Exploring Operation: 20/4=5, Resulting Numbers: [2, 5]
Generated Node #0,2,2: 64:[2, 5] Operation: 20/4=5
Moving to Node #0,2,1
Current State: 64:[2, 16], Operations: ['25-5=20', '20-4=16']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,64 unequal: No Solution
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[2, 5], Operations: ['25-5=20', '20/4=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[4, 18], Operations: ['25-5=20', '20-2=18']
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,64 unequal: No Solution
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,64 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
84,
11,
68,
12
] | 39 | [
"84+11=95",
"68-12=56",
"95-56=39"
] | Current State: 39:[84, 11, 68, 12], Operations: []
Exploring Operation: 84+11=95, Resulting Numbers: [68, 12, 95]
Generated Node #2: [68, 12, 95] from Operation: 84+11=95
Current State: 39:[68, 12, 95], Operations: ['84+11=95']
Exploring Operation: 68-12=56, Resulting Numbers: [95, 56]
Generated Node #3: [95, 56] from Operation: 68-12=56
Current State: 39:[95, 56], Operations: ['84+11=95', '68-12=56']
Exploring Operation: 95-56=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[84, 11, 68, 12], Operations: []
Exploring Operation: 68-11=57, Resulting Numbers: [84, 12, 57]
Generated Node #0,0: 39:[84, 12, 57] Operation: 68-11=57
Exploring Operation: 84-11=73, Resulting Numbers: [68, 12, 73]
Generated Node #0,1: 39:[68, 12, 73] Operation: 84-11=73
Exploring Operation: 84/12=7, Resulting Numbers: [11, 68, 7]
Generated Node #0,2: 39:[11, 68, 7] Operation: 84/12=7
Exploring Operation: 84-12=72, Resulting Numbers: [11, 68, 72]
Generated Node #0,3: 39:[11, 68, 72] Operation: 84-12=72
Exploring Operation: 84-68=16, Resulting Numbers: [11, 12, 16]
Generated Node #0,4: 39:[11, 12, 16] Operation: 84-68=16
Start Sub Search at level 1: Moving to Node #0,4
Current State: 39:[11, 12, 16], Operations: ['84-68=16']
Exploring Operation: 12-11=1, Resulting Numbers: [16, 1]
Generated Node #0,4,0: 39:[16, 1] Operation: 12-11=1
Exploring Operation: 16-12=4, Resulting Numbers: [11, 4]
Generated Node #0,4,1: 39:[11, 4] Operation: 16-12=4
Exploring Operation: 11+12=23, Resulting Numbers: [16, 23]
Generated Node #0,4,2: 39:[16, 23] Operation: 11+12=23
Exploring Operation: 16-11=5, Resulting Numbers: [12, 5]
Generated Node #0,4,3: 39:[12, 5] Operation: 16-11=5
Exploring Operation: 11+16=27, Resulting Numbers: [12, 27]
Generated Node #0,4,4: 39:[12, 27] Operation: 11+16=27
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 39:[11, 4], Operations: ['84-68=16', '16-12=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,39 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 39:[12, 5], Operations: ['84-68=16', '16-11=5']
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Exploring Operation: 12*5=60, Resulting Numbers: [60]
60,39 unequal: No Solution
Exploring Operation: 12+5=17, Resulting Numbers: [17]
17,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 39:[16, 1], Operations: ['84-68=16', '12-11=1']
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,39 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,39 unequal: No Solution
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 39:[16, 23], Operations: ['84-68=16', '11+12=23']
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Exploring Operation: 16*23=368, Resulting Numbers: [368]
368,39 unequal: No Solution
Exploring Operation: 16+23=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[84, 11, 68, 12], Operations: []
Exploring Operation: 84-68=16, Resulting Numbers: [11, 12, 16]
Generated Node #0,4: 39:[11, 12, 16] Operation: 84-68=16
Moving to Node #0,4
Current State: 39:[11, 12, 16], Operations: ['84-68=16']
Exploring Operation: 11+12=23, Resulting Numbers: [16, 23]
Generated Node #0,4,2: 39:[16, 23] Operation: 11+12=23
Moving to Node #0,4,2
Current State: 39:[16, 23], Operations: ['84-68=16', '11+12=23']
Exploring Operation: 16+23=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.976563 | hs_5 | sum_heuristic |
[
52,
87,
63,
31
] | 90 | [
"52-31=21",
"63/21=3",
"87+3=90"
] | Current State: 90:[52, 87, 63, 31], Operations: []
Exploring Operation: 52-31=21, Resulting Numbers: [87, 63, 21]
Generated Node #2: [87, 63, 21] from Operation: 52-31=21
Current State: 90:[87, 63, 21], Operations: ['52-31=21']
Exploring Operation: 63/21=3, Resulting Numbers: [87, 3]
Generated Node #3: [87, 3] from Operation: 63/21=3
Current State: 90:[87, 3], Operations: ['52-31=21', '63/21=3']
Exploring Operation: 87+3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[52, 87, 63, 31], Operations: []
Exploring Operation: 63-31=32, Resulting Numbers: [52, 87, 32]
Generated Node #0,0: 90:[52, 87, 32] Operation: 63-31=32
Exploring Operation: 63-52=11, Resulting Numbers: [87, 31, 11]
Generated Node #0,1: 90:[87, 31, 11] Operation: 63-52=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[87, 31, 11], Operations: ['63-52=11']
Exploring Operation: 31+11=42, Resulting Numbers: [87, 42]
Generated Node #0,1,0: 90:[87, 42] Operation: 31+11=42
Exploring Operation: 31-11=20, Resulting Numbers: [87, 20]
Generated Node #0,1,1: 90:[87, 20] Operation: 31-11=20
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 90:[87, 20], Operations: ['63-52=11', '31-11=20']
Exploring Operation: 87+20=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,90 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:[87, 42], Operations: ['63-52=11', '31+11=42']
Exploring Operation: 87+42=129, Resulting Numbers: [129]
129,90 unequal: No Solution
Exploring Operation: 87-42=45, Resulting Numbers: [45]
45,90 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:[52, 87, 32], Operations: ['63-31=32']
Exploring Operation: 87-52=35, Resulting Numbers: [32, 35]
Generated Node #0,0,0: 90:[32, 35] Operation: 87-52=35
Exploring Operation: 52-32=20, Resulting Numbers: [87, 20]
Generated Node #0,0,1: 90:[87, 20] Operation: 52-32=20
Moving to Node #0,0,1
Current State: 90:[87, 20], Operations: ['63-31=32', '52-32=20']
Exploring Operation: 87+20=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[32, 35], Operations: ['63-31=32', '87-52=35']
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,90 unequal: No Solution
Exploring Operation: 32+35=67, Resulting Numbers: [67]
67,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
9,
44,
11,
26
] | 35 | [
"11-9=2",
"44+26=70",
"70/2=35"
] | Current State: 35:[9, 44, 11, 26], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [44, 26, 2]
Generated Node #2: [44, 26, 2] from Operation: 11-9=2
Current State: 35:[44, 26, 2], Operations: ['11-9=2']
Exploring Operation: 44+26=70, Resulting Numbers: [2, 70]
Generated Node #3: [2, 70] from Operation: 44+26=70
Current State: 35:[2, 70], Operations: ['11-9=2', '44+26=70']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[9, 44, 11, 26], Operations: []
Exploring Operation: 44-9=35, Resulting Numbers: [11, 26, 35]
Generated Node #0,0: 35:[11, 26, 35] Operation: 44-9=35
Exploring Operation: 44/11=4, Resulting Numbers: [9, 26, 4]
Generated Node #0,1: 35:[9, 26, 4] Operation: 44/11=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[9, 26, 4], Operations: ['44/11=4']
Exploring Operation: 26+4=30, Resulting Numbers: [9, 30]
Generated Node #0,1,0: 35:[9, 30] Operation: 26+4=30
Exploring Operation: 9+26=35, Resulting Numbers: [4, 35]
Generated Node #0,1,1: 35:[4, 35] Operation: 9+26=35
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 35:[4, 35], Operations: ['44/11=4', '9+26=35']
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,35 unequal: No Solution
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 35:[9, 30], Operations: ['44/11=4', '26+4=30']
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,35 unequal: No Solution
Exploring Operation: 9+30=39, Resulting Numbers: [39]
39,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[11, 26, 35], Operations: ['44-9=35']
Exploring Operation: 11+26=37, Resulting Numbers: [35, 37]
Generated Node #0,0,0: 35:[35, 37] Operation: 11+26=37
Exploring Operation: 35-26=9, Resulting Numbers: [11, 9]
Generated Node #0,0,1: 35:[11, 9] Operation: 35-26=9
Moving to Node #0,0,0
Current State: 35:[35, 37], Operations: ['44-9=35', '11+26=37']
Exploring Operation: 35+37=72, Resulting Numbers: [72]
72,35 unequal: No Solution
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[11, 9], Operations: ['44-9=35', '35-26=9']
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 11+9=20, Resulting Numbers: [20]
20,35 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 |
[
59,
74,
37,
90
] | 43 | [
"74-59=15",
"90/15=6",
"37+6=43"
] | Current State: 43:[59, 74, 37, 90], Operations: []
Exploring Operation: 74-59=15, Resulting Numbers: [37, 90, 15]
Generated Node #2: [37, 90, 15] from Operation: 74-59=15
Current State: 43:[37, 90, 15], Operations: ['74-59=15']
Exploring Operation: 90/15=6, Resulting Numbers: [37, 6]
Generated Node #3: [37, 6] from Operation: 90/15=6
Current State: 43:[37, 6], Operations: ['74-59=15', '90/15=6']
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[59, 74, 37, 90], Operations: []
Exploring Operation: 90-59=31, Resulting Numbers: [74, 37, 31]
Generated Node #0,0: 43:[74, 37, 31] Operation: 90-59=31
Moving to Node #0,0
Current State: 43:[74, 37, 31], Operations: ['90-59=31']
Exploring Operation: 74-31=43, Resulting Numbers: [37, 43]
Generated Node #0,0,0: 43:[37, 43] Operation: 74-31=43
Moving to Node #0,0,0
Current State: 43:[37, 43], Operations: ['90-59=31', '74-31=43']
Exploring Operation: 37+43=80, Resulting Numbers: [80]
80,43 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
61,
75,
87,
78
] | 96 | [
"78-75=3",
"61*3=183",
"183-87=96"
] | Current State: 96:[61, 75, 87, 78], Operations: []
Exploring Operation: 78-75=3, Resulting Numbers: [61, 87, 3]
Generated Node #2: [61, 87, 3] from Operation: 78-75=3
Current State: 96:[61, 87, 3], Operations: ['78-75=3']
Exploring Operation: 61*3=183, Resulting Numbers: [87, 183]
Generated Node #3: [87, 183] from Operation: 61*3=183
Current State: 96:[87, 183], Operations: ['78-75=3', '61*3=183']
Exploring Operation: 183-87=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[61, 75, 87, 78], Operations: []
Exploring Operation: 75-61=14, Resulting Numbers: [87, 78, 14]
Generated Node #0,0: 96:[87, 78, 14] Operation: 75-61=14
Exploring Operation: 78-75=3, Resulting Numbers: [61, 87, 3]
Generated Node #0,1: 96:[61, 87, 3] Operation: 78-75=3
Exploring Operation: 78-61=17, Resulting Numbers: [75, 87, 17]
Generated Node #0,2: 96:[75, 87, 17] Operation: 78-61=17
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[61, 87, 3], Operations: ['78-75=3']
Exploring Operation: 61-3=58, Resulting Numbers: [87, 58]
Generated Node #0,1,0: 96:[87, 58] Operation: 61-3=58
Exploring Operation: 87-61=26, Resulting Numbers: [3, 26]
Generated Node #0,1,1: 96:[3, 26] Operation: 87-61=26
Exploring Operation: 87/3=29, Resulting Numbers: [61, 29]
Generated Node #0,1,2: 96:[61, 29] Operation: 87/3=29
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 96:[3, 26], Operations: ['78-75=3', '87-61=26']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,96 unequal: No Solution
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 96:[61, 29], Operations: ['78-75=3', '87/3=29']
Exploring Operation: 61*29=1769, Resulting Numbers: [1769]
1769,96 unequal: No Solution
Exploring Operation: 61-29=32, Resulting Numbers: [32]
32,96 unequal: No Solution
Exploring Operation: 61+29=90, Resulting Numbers: [90]
90,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 96:[87, 58], Operations: ['78-75=3', '61-3=58']
Exploring Operation: 87-58=29, Resulting Numbers: [29]
29,96 unequal: No Solution
Exploring Operation: 87*58=5046, Resulting Numbers: [5046]
5046,96 unequal: No Solution
Exploring Operation: 87+58=145, Resulting Numbers: [145]
145,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[87, 78, 14], Operations: ['75-61=14']
Exploring Operation: 87-78=9, Resulting Numbers: [14, 9]
Generated Node #0,0,0: 96:[14, 9] Operation: 87-78=9
Exploring Operation: 78+14=92, Resulting Numbers: [87, 92]
Generated Node #0,0,1: 96:[87, 92] Operation: 78+14=92
Exploring Operation: 87+14=101, Resulting Numbers: [78, 101]
Generated Node #0,0,2: 96:[78, 101] Operation: 87+14=101
Moving to Node #0,0,0
Current State: 96:[14, 9], Operations: ['75-61=14', '87-78=9']
Exploring Operation: 14*9=126, Resulting Numbers: [126]
126,96 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,96 unequal: No Solution
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[87, 92], Operations: ['75-61=14', '78+14=92']
Exploring Operation: 92-87=5, Resulting Numbers: [5]
5,96 unequal: No Solution
Exploring Operation: 87*92=8004, Resulting Numbers: [8004]
8004,96 unequal: No Solution
Exploring Operation: 87+92=179, Resulting Numbers: [179]
179,96 unequal: No Solution
Moving to Node #0,0,2
Current State: 96:[78, 101], Operations: ['75-61=14', '87+14=101']
Exploring Operation: 78*101=7878, Resulting Numbers: [7878]
7878,96 unequal: No Solution
Exploring Operation: 101-78=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 78+101=179, Resulting Numbers: [179]
179,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 96:[75, 87, 17], Operations: ['78-61=17']
Exploring Operation: 75+17=92, Resulting Numbers: [87, 92]
Generated Node #0,2,0: 96:[87, 92] Operation: 75+17=92
Exploring Operation: 75-17=58, Resulting Numbers: [87, 58]
Generated Node #0,2,1: 96:[87, 58] Operation: 75-17=58
Exploring Operation: 87-75=12, Resulting Numbers: [17, 12]
Generated Node #0,2,2: 96:[17, 12] Operation: 87-75=12
Moving to Node #0,2,2
Current State: 96:[17, 12], Operations: ['78-61=17', '87-75=12']
Exploring Operation: 17+12=29, Resulting Numbers: [29]
29,96 unequal: No Solution
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,96 unequal: No Solution
Exploring Operation: 17*12=204, Resulting Numbers: [204]
204,96 unequal: No Solution
Moving to Node #0,2,0
Current State: 96:[87, 92], Operations: ['78-61=17', '75+17=92']
Exploring Operation: 92-87=5, Resulting Numbers: [5]
5,96 unequal: No Solution
Exploring Operation: 87*92=8004, Resulting Numbers: [8004]
8004,96 unequal: No Solution
Exploring Operation: 87+92=179, Resulting Numbers: [179]
179,96 unequal: No Solution
Moving to Node #0,2,1
Current State: 96:[87, 58], Operations: ['78-61=17', '75-17=58']
Exploring Operation: 87+58=145, Resulting Numbers: [145]
145,96 unequal: No Solution
Exploring Operation: 87*58=5046, Resulting Numbers: [5046]
5046,96 unequal: No Solution
Exploring Operation: 87-58=29, Resulting Numbers: [29]
29,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
2,
3,
36,
42
] | 66 | [
"2*36=72",
"72/3=24",
"42+24=66"
] | Current State: 66:[2, 3, 36, 42], Operations: []
Exploring Operation: 2*36=72, Resulting Numbers: [3, 42, 72]
Generated Node #2: [3, 42, 72] from Operation: 2*36=72
Current State: 66:[3, 42, 72], Operations: ['2*36=72']
Exploring Operation: 72/3=24, Resulting Numbers: [42, 24]
Generated Node #3: [42, 24] from Operation: 72/3=24
Current State: 66:[42, 24], Operations: ['2*36=72', '72/3=24']
Exploring Operation: 42+24=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[2, 3, 36, 42], Operations: []
Exploring Operation: 42-36=6, Resulting Numbers: [2, 3, 6]
Generated Node #0,0: 66:[2, 3, 6] Operation: 42-36=6
Exploring Operation: 42/2=21, Resulting Numbers: [3, 36, 21]
Generated Node #0,1: 66:[3, 36, 21] Operation: 42/2=21
Moving to Node #0,0
Current State: 66:[2, 3, 6], Operations: ['42-36=6']
Exploring Operation: 2*3=6, Resulting Numbers: [6, 6]
Generated Node #0,0,0: 66:[6, 6] Operation: 2*3=6
Exploring Operation: 6/2=3, Resulting Numbers: [3, 3]
Generated Node #0,0,1: 66:[3, 3] Operation: 6/2=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[6, 6], Operations: ['42-36=6', '2*3=6']
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,66 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:[3, 3], Operations: ['42-36=6', '6/2=3']
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,66 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:[3, 36, 21], Operations: ['42/2=21']
Exploring Operation: 36-3=33, Resulting Numbers: [21, 33]
Generated Node #0,1,0: 66:[21, 33] Operation: 36-3=33
Exploring Operation: 36/3=12, Resulting Numbers: [21, 12]
Generated Node #0,1,1: 66:[21, 12] Operation: 36/3=12
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 66:[21, 33], Operations: ['42/2=21', '36-3=33']
Exploring Operation: 21+33=54, Resulting Numbers: [54]
54,66 unequal: No Solution
Exploring Operation: 33-21=12, Resulting Numbers: [12]
12,66 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:[21, 12], Operations: ['42/2=21', '36/3=12']
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,66 unequal: No Solution
Exploring Operation: 21+12=33, Resulting Numbers: [33]
33,66 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 |
[
79,
3,
87,
83
] | 78 | [
"79+3=82",
"87-83=4",
"82-4=78"
] | Current State: 78:[79, 3, 87, 83], Operations: []
Exploring Operation: 79+3=82, Resulting Numbers: [87, 83, 82]
Generated Node #2: [87, 83, 82] from Operation: 79+3=82
Current State: 78:[87, 83, 82], Operations: ['79+3=82']
Exploring Operation: 87-83=4, Resulting Numbers: [82, 4]
Generated Node #3: [82, 4] from Operation: 87-83=4
Current State: 78:[82, 4], Operations: ['79+3=82', '87-83=4']
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[79, 3, 87, 83], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [3, 83, 8]
Generated Node #0,0: 78:[3, 83, 8] Operation: 87-79=8
Exploring Operation: 87-83=4, Resulting Numbers: [79, 3, 4]
Generated Node #0,1: 78:[79, 3, 4] Operation: 87-83=4
Moving to Node #0,1
Current State: 78:[79, 3, 4], Operations: ['87-83=4']
Exploring Operation: 3*4=12, Resulting Numbers: [79, 12]
Generated Node #0,1,0: 78:[79, 12] Operation: 3*4=12
Exploring Operation: 3+4=7, Resulting Numbers: [79, 7]
Generated Node #0,1,1: 78:[79, 7] Operation: 3+4=7
Moving to Node #0,0
Current State: 78:[3, 83, 8], Operations: ['87-79=8']
Exploring Operation: 83-3=80, Resulting Numbers: [8, 80]
Generated Node #0,0,0: 78:[8, 80] Operation: 83-3=80
Exploring Operation: 83-8=75, Resulting Numbers: [3, 75]
Generated Node #0,0,1: 78:[3, 75] Operation: 83-8=75
Moving to Node #0,1,0
Current State: 78:[79, 12], Operations: ['87-83=4', '3*4=12']
Exploring Operation: 79+12=91, Resulting Numbers: [91]
91,78 unequal: No Solution
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[79, 7], Operations: ['87-83=4', '3+4=7']
Exploring Operation: 79-7=72, Resulting Numbers: [72]
72,78 unequal: No Solution
Exploring Operation: 79+7=86, Resulting Numbers: [86]
86,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[3, 75], Operations: ['87-79=8', '83-8=75']
Exploring Operation: 3+75=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[79, 3, 87, 83], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [3, 83, 8]
Generated Node #0,0: 78:[3, 83, 8] Operation: 87-79=8
Moving to Node #0,0
Current State: 78:[3, 83, 8], Operations: ['87-79=8']
Exploring Operation: 83-8=75, Resulting Numbers: [3, 75]
Generated Node #0,0,1: 78:[3, 75] Operation: 83-8=75
Moving to Node #0,0,1
Current State: 78:[3, 75], Operations: ['87-79=8', '83-8=75']
Exploring Operation: 3+75=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
32,
82,
62,
42
] | 54 | [
"82-32=50",
"62+42=104",
"104-50=54"
] | Current State: 54:[32, 82, 62, 42], Operations: []
Exploring Operation: 82-32=50, Resulting Numbers: [62, 42, 50]
Generated Node #2: [62, 42, 50] from Operation: 82-32=50
Current State: 54:[62, 42, 50], Operations: ['82-32=50']
Exploring Operation: 62+42=104, Resulting Numbers: [50, 104]
Generated Node #3: [50, 104] from Operation: 62+42=104
Current State: 54:[50, 104], Operations: ['82-32=50', '62+42=104']
Exploring Operation: 104-50=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[32, 82, 62, 42], Operations: []
Exploring Operation: 82-62=20, Resulting Numbers: [32, 42, 20]
Generated Node #0,0: 54:[32, 42, 20] Operation: 82-62=20
Exploring Operation: 82-32=50, Resulting Numbers: [62, 42, 50]
Generated Node #0,1: 54:[62, 42, 50] Operation: 82-32=50
Exploring Operation: 62-42=20, Resulting Numbers: [32, 82, 20]
Generated Node #0,2: 54:[32, 82, 20] Operation: 62-42=20
Exploring Operation: 82-42=40, Resulting Numbers: [32, 62, 40]
Generated Node #0,3: 54:[32, 62, 40] Operation: 82-42=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[32, 42, 20], Operations: ['82-62=20']
Exploring Operation: 32+20=52, Resulting Numbers: [42, 52]
Generated Node #0,0,0: 54:[42, 52] Operation: 32+20=52
Exploring Operation: 42-20=22, Resulting Numbers: [32, 22]
Generated Node #0,0,1: 54:[32, 22] Operation: 42-20=22
Exploring Operation: 42-32=10, Resulting Numbers: [20, 10]
Generated Node #0,0,2: 54:[20, 10] Operation: 42-32=10
Exploring Operation: 42+20=62, Resulting Numbers: [32, 62]
Generated Node #0,0,3: 54:[32, 62] Operation: 42+20=62
Moving to Node #0,0,2
Current State: 54:[20, 10], Operations: ['82-62=20', '42-32=10']
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 20*10=200, Resulting Numbers: [200]
200,54 unequal: No Solution
Exploring Operation: 20+10=30, Resulting Numbers: [30]
30,54 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,54 unequal: No Solution
Moving to Node #0,0,1
Current State: 54:[32, 22], Operations: ['82-62=20', '42-20=22']
Exploring Operation: 32*22=704, Resulting Numbers: [704]
704,54 unequal: No Solution
Exploring Operation: 32-22=10, Resulting Numbers: [10]
10,54 unequal: No Solution
Exploring Operation: 32+22=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[32, 82, 62, 42], Operations: []
Exploring Operation: 82-62=20, Resulting Numbers: [32, 42, 20]
Generated Node #0,0: 54:[32, 42, 20] Operation: 82-62=20
Moving to Node #0,0
Current State: 54:[32, 42, 20], Operations: ['82-62=20']
Exploring Operation: 42-20=22, Resulting Numbers: [32, 22]
Generated Node #0,0,1: 54:[32, 22] Operation: 42-20=22
Moving to Node #0,0,1
Current State: 54:[32, 22], Operations: ['82-62=20', '42-20=22']
Exploring Operation: 32+22=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
7,
86,
39,
42
] | 76 | [
"86-7=79",
"42-39=3",
"79-3=76"
] | Current State: 76:[7, 86, 39, 42], Operations: []
Exploring Operation: 86-7=79, Resulting Numbers: [39, 42, 79]
Generated Node #2: [39, 42, 79] from Operation: 86-7=79
Current State: 76:[39, 42, 79], Operations: ['86-7=79']
Exploring Operation: 42-39=3, Resulting Numbers: [79, 3]
Generated Node #3: [79, 3] from Operation: 42-39=3
Current State: 76:[79, 3], Operations: ['86-7=79', '42-39=3']
Exploring Operation: 79-3=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[7, 86, 39, 42], Operations: []
Exploring Operation: 86-7=79, Resulting Numbers: [39, 42, 79]
Generated Node #0,0: 76:[39, 42, 79] Operation: 86-7=79
Exploring Operation: 86-42=44, Resulting Numbers: [7, 39, 44]
Generated Node #0,1: 76:[7, 39, 44] Operation: 86-42=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[39, 42, 79], Operations: ['86-7=79']
Exploring Operation: 79-42=37, Resulting Numbers: [39, 37]
Generated Node #0,0,0: 76:[39, 37] Operation: 79-42=37
Exploring Operation: 42-39=3, Resulting Numbers: [79, 3]
Generated Node #0,0,1: 76:[79, 3] Operation: 42-39=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[39, 37], Operations: ['86-7=79', '79-42=37']
Exploring Operation: 39-37=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Exploring Operation: 39+37=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[7, 86, 39, 42], Operations: []
Exploring Operation: 86-7=79, Resulting Numbers: [39, 42, 79]
Generated Node #0,0: 76:[39, 42, 79] Operation: 86-7=79
Moving to Node #0,0
Current State: 76:[39, 42, 79], Operations: ['86-7=79']
Exploring Operation: 79-42=37, Resulting Numbers: [39, 37]
Generated Node #0,0,0: 76:[39, 37] Operation: 79-42=37
Moving to Node #0,0,0
Current State: 76:[39, 37], Operations: ['86-7=79', '79-42=37']
Exploring Operation: 39+37=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
47,
59,
62,
28
] | 72 | [
"47+59=106",
"62-28=34",
"106-34=72"
] | Current State: 72:[47, 59, 62, 28], Operations: []
Exploring Operation: 47+59=106, Resulting Numbers: [62, 28, 106]
Generated Node #2: [62, 28, 106] from Operation: 47+59=106
Current State: 72:[62, 28, 106], Operations: ['47+59=106']
Exploring Operation: 62-28=34, Resulting Numbers: [106, 34]
Generated Node #3: [106, 34] from Operation: 62-28=34
Current State: 72:[106, 34], Operations: ['47+59=106', '62-28=34']
Exploring Operation: 106-34=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[47, 59, 62, 28], Operations: []
Exploring Operation: 59-47=12, Resulting Numbers: [62, 28, 12]
Generated Node #0,0: 72:[62, 28, 12] Operation: 59-47=12
Exploring Operation: 62-59=3, Resulting Numbers: [47, 28, 3]
Generated Node #0,1: 72:[47, 28, 3] Operation: 62-59=3
Moving to Node #0,0
Current State: 72:[62, 28, 12], Operations: ['59-47=12']
Exploring Operation: 62+12=74, Resulting Numbers: [28, 74]
Generated Node #0,0,0: 72:[28, 74] Operation: 62+12=74
Exploring Operation: 62-28=34, Resulting Numbers: [12, 34]
Generated Node #0,0,1: 72:[12, 34] Operation: 62-28=34
Moving to Node #0,1
Current State: 72:[47, 28, 3], Operations: ['62-59=3']
Exploring Operation: 47+28=75, Resulting Numbers: [3, 75]
Generated Node #0,1,0: 72:[3, 75] Operation: 47+28=75
Exploring Operation: 47-28=19, Resulting Numbers: [3, 19]
Generated Node #0,1,1: 72:[3, 19] Operation: 47-28=19
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 72:[3, 19], Operations: ['62-59=3', '47-28=19']
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,72 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 72:[3, 75], Operations: ['62-59=3', '47+28=75']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[47, 59, 62, 28], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [47, 28, 3]
Generated Node #0,1: 72:[47, 28, 3] Operation: 62-59=3
Moving to Node #0,1
Current State: 72:[47, 28, 3], Operations: ['62-59=3']
Exploring Operation: 47+28=75, Resulting Numbers: [3, 75]
Generated Node #0,1,0: 72:[3, 75] Operation: 47+28=75
Moving to Node #0,1,0
Current State: 72:[3, 75], Operations: ['62-59=3', '47+28=75']
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_2 | mult_heuristic |
[
41,
87,
47,
56
] | 37 | [
"87-41=46",
"56-47=9",
"46-9=37"
] | Current State: 37:[41, 87, 47, 56], Operations: []
Exploring Operation: 87-41=46, Resulting Numbers: [47, 56, 46]
Generated Node #2: [47, 56, 46] from Operation: 87-41=46
Current State: 37:[47, 56, 46], Operations: ['87-41=46']
Exploring Operation: 56-47=9, Resulting Numbers: [46, 9]
Generated Node #3: [46, 9] from Operation: 56-47=9
Current State: 37:[46, 9], Operations: ['87-41=46', '56-47=9']
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[41, 87, 47, 56], Operations: []
Exploring Operation: 87-56=31, Resulting Numbers: [41, 47, 31]
Generated Node #0,0: 37:[41, 47, 31] Operation: 87-56=31
Exploring Operation: 87-47=40, Resulting Numbers: [41, 56, 40]
Generated Node #0,1: 37:[41, 56, 40] Operation: 87-47=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[41, 47, 31], Operations: ['87-56=31']
Exploring Operation: 47-41=6, Resulting Numbers: [31, 6]
Generated Node #0,0,0: 37:[31, 6] Operation: 47-41=6
Exploring Operation: 47-31=16, Resulting Numbers: [41, 16]
Generated Node #0,0,1: 37:[41, 16] Operation: 47-31=16
Moving to Node #0,0,1
Current State: 37:[41, 16], Operations: ['87-56=31', '47-31=16']
Exploring Operation: 41+16=57, Resulting Numbers: [57]
57,37 unequal: No Solution
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[31, 6], Operations: ['87-56=31', '47-41=6']
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[41, 87, 47, 56], Operations: []
Exploring Operation: 87-56=31, Resulting Numbers: [41, 47, 31]
Generated Node #0,0: 37:[41, 47, 31] Operation: 87-56=31
Moving to Node #0,0
Current State: 37:[41, 47, 31], Operations: ['87-56=31']
Exploring Operation: 47-41=6, Resulting Numbers: [31, 6]
Generated Node #0,0,0: 37:[31, 6] Operation: 47-41=6
Moving to Node #0,0,0
Current State: 37:[31, 6], Operations: ['87-56=31', '47-41=6']
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
90,
31,
37,
7
] | 89 | [
"90-31=59",
"37-7=30",
"59+30=89"
] | Current State: 89:[90, 31, 37, 7], Operations: []
Exploring Operation: 90-31=59, Resulting Numbers: [37, 7, 59]
Generated Node #2: [37, 7, 59] from Operation: 90-31=59
Current State: 89:[37, 7, 59], Operations: ['90-31=59']
Exploring Operation: 37-7=30, Resulting Numbers: [59, 30]
Generated Node #3: [59, 30] from Operation: 37-7=30
Current State: 89:[59, 30], Operations: ['90-31=59', '37-7=30']
Exploring Operation: 59+30=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[90, 31, 37, 7], Operations: []
Exploring Operation: 31+37=68, Resulting Numbers: [90, 7, 68]
Generated Node #0,0: 89:[90, 7, 68] Operation: 31+37=68
Exploring Operation: 90-7=83, Resulting Numbers: [31, 37, 83]
Generated Node #0,1: 89:[31, 37, 83] Operation: 90-7=83
Exploring Operation: 31+7=38, Resulting Numbers: [90, 37, 38]
Generated Node #0,2: 89:[90, 37, 38] Operation: 31+7=38
Exploring Operation: 37+7=44, Resulting Numbers: [90, 31, 44]
Generated Node #0,3: 89:[90, 31, 44] Operation: 37+7=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[90, 7, 68], Operations: ['31+37=68']
Exploring Operation: 7+68=75, Resulting Numbers: [90, 75]
Generated Node #0,0,0: 89:[90, 75] Operation: 7+68=75
Exploring Operation: 68-7=61, Resulting Numbers: [90, 61]
Generated Node #0,0,1: 89:[90, 61] Operation: 68-7=61
Exploring Operation: 90-7=83, Resulting Numbers: [68, 83]
Generated Node #0,0,2: 89:[68, 83] Operation: 90-7=83
Exploring Operation: 90+7=97, Resulting Numbers: [68, 97]
Generated Node #0,0,3: 89:[68, 97] Operation: 90+7=97
Moving to Node #0,0,0
Current State: 89:[90, 75], Operations: ['31+37=68', '7+68=75']
Exploring Operation: 90+75=165, Resulting Numbers: [165]
165,89 unequal: No Solution
Exploring Operation: 90*75=6750, Resulting Numbers: [6750]
6750,89 unequal: No Solution
Exploring Operation: 90-75=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[68, 83], Operations: ['31+37=68', '90-7=83']
Exploring Operation: 83-68=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 68+83=151, Resulting Numbers: [151]
151,89 unequal: No Solution
Exploring Operation: 68*83=5644, Resulting Numbers: [5644]
5644,89 unequal: No Solution
Moving to Node #0,0,3
Current State: 89:[68, 97], Operations: ['31+37=68', '90+7=97']
Exploring Operation: 97-68=29, Resulting Numbers: [29]
29,89 unequal: No Solution
Exploring Operation: 68*97=6596, Resulting Numbers: [6596]
6596,89 unequal: No Solution
Exploring Operation: 68+97=165, Resulting Numbers: [165]
165,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[90, 61], Operations: ['31+37=68', '68-7=61']
Exploring Operation: 90+61=151, Resulting Numbers: [151]
151,89 unequal: No Solution
Exploring Operation: 90-61=29, Resulting Numbers: [29]
29,89 unequal: No Solution
Exploring Operation: 90*61=5490, Resulting Numbers: [5490]
5490,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[90, 37, 38], Operations: ['31+7=38']
Exploring Operation: 90-38=52, Resulting Numbers: [37, 52]
Generated Node #0,2,0: 89:[37, 52] Operation: 90-38=52
Exploring Operation: 90+37=127, Resulting Numbers: [38, 127]
Generated Node #0,2,1: 89:[38, 127] Operation: 90+37=127
Exploring Operation: 37+38=75, Resulting Numbers: [90, 75]
Generated Node #0,2,2: 89:[90, 75] Operation: 37+38=75
Exploring Operation: 90-37=53, Resulting Numbers: [38, 53]
Generated Node #0,2,3: 89:[38, 53] Operation: 90-37=53
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 89:[90, 75], Operations: ['31+7=38', '37+38=75']
Exploring Operation: 90-75=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 90+75=165, Resulting Numbers: [165]
165,89 unequal: No Solution
Exploring Operation: 90*75=6750, Resulting Numbers: [6750]
6750,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 89:[38, 53], Operations: ['31+7=38', '90-37=53']
Exploring Operation: 53-38=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 38*53=2014, Resulting Numbers: [2014]
2014,89 unequal: No Solution
Exploring Operation: 38+53=91, Resulting Numbers: [91]
91,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 89:[37, 52], Operations: ['31+7=38', '90-38=52']
Exploring Operation: 37*52=1924, Resulting Numbers: [1924]
1924,89 unequal: No Solution
Exploring Operation: 37+52=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[90, 31, 37, 7], Operations: []
Exploring Operation: 31+7=38, Resulting Numbers: [90, 37, 38]
Generated Node #0,2: 89:[90, 37, 38] Operation: 31+7=38
Moving to Node #0,2
Current State: 89:[90, 37, 38], Operations: ['31+7=38']
Exploring Operation: 90-38=52, Resulting Numbers: [37, 52]
Generated Node #0,2,0: 89:[37, 52] Operation: 90-38=52
Moving to Node #0,2,0
Current State: 89:[37, 52], Operations: ['31+7=38', '90-38=52']
Exploring Operation: 37+52=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 | hs_4 | mult_heuristic |
[
85,
54,
77,
51
] | 97 | [
"85-54=31",
"77+51=128",
"128-31=97"
] | Current State: 97:[85, 54, 77, 51], Operations: []
Exploring Operation: 85-54=31, Resulting Numbers: [77, 51, 31]
Generated Node #2: [77, 51, 31] from Operation: 85-54=31
Current State: 97:[77, 51, 31], Operations: ['85-54=31']
Exploring Operation: 77+51=128, Resulting Numbers: [31, 128]
Generated Node #3: [31, 128] from Operation: 77+51=128
Current State: 97:[31, 128], Operations: ['85-54=31', '77+51=128']
Exploring Operation: 128-31=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[85, 54, 77, 51], Operations: []
Exploring Operation: 54+51=105, Resulting Numbers: [85, 77, 105]
Generated Node #0,0: 97:[85, 77, 105] Operation: 54+51=105
Moving to Node #0,0
Current State: 97:[85, 77, 105], Operations: ['54+51=105']
Exploring Operation: 85+77=162, Resulting Numbers: [105, 162]
Generated Node #0,0,0: 97:[105, 162] Operation: 85+77=162
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[105, 162], Operations: ['54+51=105', '85+77=162']
Exploring Operation: 162-105=57, Resulting Numbers: [57]
57,97 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 |
[
95,
27,
45,
99
] | 72 | [
"99-95=4",
"45-27=18",
"4*18=72"
] | Current State: 72:[95, 27, 45, 99], Operations: []
Exploring Operation: 99-95=4, Resulting Numbers: [27, 45, 4]
Generated Node #2: [27, 45, 4] from Operation: 99-95=4
Current State: 72:[27, 45, 4], Operations: ['99-95=4']
Exploring Operation: 45-27=18, Resulting Numbers: [4, 18]
Generated Node #3: [4, 18] from Operation: 45-27=18
Current State: 72:[4, 18], Operations: ['99-95=4', '45-27=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[95, 27, 45, 99], Operations: []
Exploring Operation: 99-27=72, Resulting Numbers: [95, 45, 72]
Generated Node #0,0: 72:[95, 45, 72] Operation: 99-27=72
Exploring Operation: 99-95=4, Resulting Numbers: [27, 45, 4]
Generated Node #0,1: 72:[27, 45, 4] Operation: 99-95=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[27, 45, 4], Operations: ['99-95=4']
Exploring Operation: 27+45=72, Resulting Numbers: [4, 72]
Generated Node #0,1,0: 72:[4, 72] Operation: 27+45=72
Exploring Operation: 45-27=18, Resulting Numbers: [4, 18]
Generated Node #0,1,1: 72:[4, 18] Operation: 45-27=18
Moving to Node #0,1,0
Current State: 72:[4, 72], Operations: ['99-95=4', '27+45=72']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 4+72=76, Resulting Numbers: [76]
76,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[4, 18], Operations: ['99-95=4', '45-27=18']
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,72 unequal: No Solution
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[95, 27, 45, 99], Operations: []
Exploring Operation: 99-95=4, Resulting Numbers: [27, 45, 4]
Generated Node #0,1: 72:[27, 45, 4] Operation: 99-95=4
Moving to Node #0,1
Current State: 72:[27, 45, 4], Operations: ['99-95=4']
Exploring Operation: 45-27=18, Resulting Numbers: [4, 18]
Generated Node #0,1,1: 72:[4, 18] Operation: 45-27=18
Moving to Node #0,1,1
Current State: 72:[4, 18], Operations: ['99-95=4', '45-27=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
86,
64,
1,
8
] | 95 | [
"86+1=87",
"64/8=8",
"87+8=95"
] | Current State: 95:[86, 64, 1, 8], Operations: []
Exploring Operation: 86+1=87, Resulting Numbers: [64, 8, 87]
Generated Node #2: [64, 8, 87] from Operation: 86+1=87
Current State: 95:[64, 8, 87], Operations: ['86+1=87']
Exploring Operation: 64/8=8, Resulting Numbers: [87, 8]
Generated Node #3: [87, 8] from Operation: 64/8=8
Current State: 95:[87, 8], Operations: ['86+1=87', '64/8=8']
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[86, 64, 1, 8], Operations: []
Exploring Operation: 86-64=22, Resulting Numbers: [1, 8, 22]
Generated Node #0,0: 95:[1, 8, 22] Operation: 86-64=22
Exploring Operation: 64/8=8, Resulting Numbers: [86, 1, 8]
Generated Node #0,1: 95:[86, 1, 8] Operation: 64/8=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[1, 8, 22], Operations: ['86-64=22']
Exploring Operation: 8-1=7, Resulting Numbers: [22, 7]
Generated Node #0,0,0: 95:[22, 7] Operation: 8-1=7
Exploring Operation: 22-1=21, Resulting Numbers: [8, 21]
Generated Node #0,0,1: 95:[8, 21] Operation: 22-1=21
Moving to Node #0,0,0
Current State: 95:[22, 7], Operations: ['86-64=22', '8-1=7']
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[8, 21], Operations: ['86-64=22', '22-1=21']
Exploring Operation: 8+21=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[86, 1, 8], Operations: ['64/8=8']
Exploring Operation: 86+1=87, Resulting Numbers: [8, 87]
Generated Node #0,1,0: 95:[8, 87] Operation: 86+1=87
Exploring Operation: 86+8=94, Resulting Numbers: [1, 94]
Generated Node #0,1,1: 95:[1, 94] Operation: 86+8=94
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 95:[1, 94], Operations: ['64/8=8', '86+8=94']
Exploring Operation: 1*94=94, Resulting Numbers: [94]
94,95 unequal: No Solution
Exploring Operation: 1+94=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[86, 64, 1, 8], Operations: []
Exploring Operation: 64/8=8, Resulting Numbers: [86, 1, 8]
Generated Node #0,1: 95:[86, 1, 8] Operation: 64/8=8
Moving to Node #0,1
Current State: 95:[86, 1, 8], Operations: ['64/8=8']
Exploring Operation: 86+8=94, Resulting Numbers: [1, 94]
Generated Node #0,1,1: 95:[1, 94] Operation: 86+8=94
Moving to Node #0,1,1
Current State: 95:[1, 94], Operations: ['64/8=8', '86+8=94']
Exploring Operation: 1+94=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
63,
50,
38,
33
] | 35 | [
"63-38=25",
"50/25=2",
"33+2=35"
] | Current State: 35:[63, 50, 38, 33], Operations: []
Exploring Operation: 63-38=25, Resulting Numbers: [50, 33, 25]
Generated Node #2: [50, 33, 25] from Operation: 63-38=25
Current State: 35:[50, 33, 25], Operations: ['63-38=25']
Exploring Operation: 50/25=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 50/25=2
Current State: 35:[33, 2], Operations: ['63-38=25', '50/25=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[63, 50, 38, 33], Operations: []
Exploring Operation: 63-38=25, Resulting Numbers: [50, 33, 25]
Generated Node #0,0: 35:[50, 33, 25] Operation: 63-38=25
Exploring Operation: 63-33=30, Resulting Numbers: [50, 38, 30]
Generated Node #0,1: 35:[50, 38, 30] Operation: 63-33=30
Exploring Operation: 63-50=13, Resulting Numbers: [38, 33, 13]
Generated Node #0,2: 35:[38, 33, 13] Operation: 63-50=13
Moving to Node #0,2
Current State: 35:[38, 33, 13], Operations: ['63-50=13']
Exploring Operation: 38-13=25, Resulting Numbers: [33, 25]
Generated Node #0,2,0: 35:[33, 25] Operation: 38-13=25
Exploring Operation: 33+13=46, Resulting Numbers: [38, 46]
Generated Node #0,2,1: 35:[38, 46] Operation: 33+13=46
Exploring Operation: 38-33=5, Resulting Numbers: [13, 5]
Generated Node #0,2,2: 35:[13, 5] Operation: 38-33=5
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 35:[13, 5], Operations: ['63-50=13', '38-33=5']
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,35 unequal: No Solution
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,35 unequal: No Solution
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 35:[33, 25], Operations: ['63-50=13', '38-13=25']
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,35 unequal: No Solution
Exploring Operation: 33+25=58, Resulting Numbers: [58]
58,35 unequal: No Solution
Exploring Operation: 33*25=825, Resulting Numbers: [825]
825,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 35:[38, 46], Operations: ['63-50=13', '33+13=46']
Exploring Operation: 38+46=84, Resulting Numbers: [84]
84,35 unequal: No Solution
Exploring Operation: 46-38=8, Resulting Numbers: [8]
8,35 unequal: No Solution
Exploring Operation: 38*46=1748, Resulting Numbers: [1748]
1748,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 35:[50, 38, 30], Operations: ['63-33=30']
Exploring Operation: 38-30=8, Resulting Numbers: [50, 8]
Generated Node #0,1,0: 35:[50, 8] Operation: 38-30=8
Exploring Operation: 50-30=20, Resulting Numbers: [38, 20]
Generated Node #0,1,1: 35:[38, 20] Operation: 50-30=20
Exploring Operation: 50-38=12, Resulting Numbers: [30, 12]
Generated Node #0,1,2: 35:[30, 12] Operation: 50-38=12
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 35:[30, 12], Operations: ['63-33=30', '50-38=12']
Exploring Operation: 30*12=360, Resulting Numbers: [360]
360,35 unequal: No Solution
Exploring Operation: 30+12=42, Resulting Numbers: [42]
42,35 unequal: No Solution
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 35:[50, 8], Operations: ['63-33=30', '38-30=8']
Exploring Operation: 50+8=58, Resulting Numbers: [58]
58,35 unequal: No Solution
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,35 unequal: No Solution
Exploring Operation: 50*8=400, Resulting Numbers: [400]
400,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 35:[38, 20], Operations: ['63-33=30', '50-30=20']
Exploring Operation: 38+20=58, Resulting Numbers: [58]
58,35 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 38*20=760, Resulting Numbers: [760]
760,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 35:[50, 33, 25], Operations: ['63-38=25']
Exploring Operation: 33-25=8, Resulting Numbers: [50, 8]
Generated Node #0,0,0: 35:[50, 8] Operation: 33-25=8
Exploring Operation: 50-25=25, Resulting Numbers: [33, 25]
Generated Node #0,0,1: 35:[33, 25] Operation: 50-25=25
Exploring Operation: 50/25=2, Resulting Numbers: [33, 2]
Generated Node #0,0,2: 35:[33, 2] Operation: 50/25=2
Moving to Node #0,0,2
Current State: 35:[33, 2], Operations: ['63-38=25', '50/25=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,35 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[63, 50, 38, 33], Operations: []
Exploring Operation: 63-38=25, Resulting Numbers: [50, 33, 25]
Generated Node #0,0: 35:[50, 33, 25] Operation: 63-38=25
Moving to Node #0,0
Current State: 35:[50, 33, 25], Operations: ['63-38=25']
Exploring Operation: 50/25=2, Resulting Numbers: [33, 2]
Generated Node #0,0,2: 35:[33, 2] Operation: 50/25=2
Moving to Node #0,0,2
Current State: 35:[33, 2], Operations: ['63-38=25', '50/25=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 0.96875 | hs_3 | sum_heuristic |
[
19,
64,
51,
67
] | 29 | [
"64-19=45",
"67-51=16",
"45-16=29"
] | Current State: 29:[19, 64, 51, 67], Operations: []
Exploring Operation: 64-19=45, Resulting Numbers: [51, 67, 45]
Generated Node #2: [51, 67, 45] from Operation: 64-19=45
Current State: 29:[51, 67, 45], Operations: ['64-19=45']
Exploring Operation: 67-51=16, Resulting Numbers: [45, 16]
Generated Node #3: [45, 16] from Operation: 67-51=16
Current State: 29:[45, 16], Operations: ['64-19=45', '67-51=16']
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[19, 64, 51, 67], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [19, 51, 3]
Generated Node #0,0: 29:[19, 51, 3] Operation: 67-64=3
Exploring Operation: 67-51=16, Resulting Numbers: [19, 64, 16]
Generated Node #0,1: 29:[19, 64, 16] Operation: 67-51=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[19, 51, 3], Operations: ['67-64=3']
Exploring Operation: 51-19=32, Resulting Numbers: [3, 32]
Generated Node #0,0,0: 29:[3, 32] Operation: 51-19=32
Exploring Operation: 51/3=17, Resulting Numbers: [19, 17]
Generated Node #0,0,1: 29:[19, 17] Operation: 51/3=17
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 29:[19, 17], Operations: ['67-64=3', '51/3=17']
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,29 unequal: No Solution
Exploring Operation: 19+17=36, Resulting Numbers: [36]
36,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 29:[3, 32], Operations: ['67-64=3', '51-19=32']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[19, 64, 51, 67], Operations: []
Exploring Operation: 67-64=3, Resulting Numbers: [19, 51, 3]
Generated Node #0,0: 29:[19, 51, 3] Operation: 67-64=3
Moving to Node #0,0
Current State: 29:[19, 51, 3], Operations: ['67-64=3']
Exploring Operation: 51-19=32, Resulting Numbers: [3, 32]
Generated Node #0,0,0: 29:[3, 32] Operation: 51-19=32
Moving to Node #0,0,0
Current State: 29:[3, 32], Operations: ['67-64=3', '51-19=32']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
36,
64,
51,
79
] | 30 | [
"36+64=100",
"51+79=130",
"130-100=30"
] | Current State: 30:[36, 64, 51, 79], Operations: []
Exploring Operation: 36+64=100, Resulting Numbers: [51, 79, 100]
Generated Node #2: [51, 79, 100] from Operation: 36+64=100
Current State: 30:[51, 79, 100], Operations: ['36+64=100']
Exploring Operation: 51+79=130, Resulting Numbers: [100, 130]
Generated Node #3: [100, 130] from Operation: 51+79=130
Current State: 30:[100, 130], Operations: ['36+64=100', '51+79=130']
Exploring Operation: 130-100=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[36, 64, 51, 79], Operations: []
Exploring Operation: 79-36=43, Resulting Numbers: [64, 51, 43]
Generated Node #0,0: 30:[64, 51, 43] Operation: 79-36=43
Exploring Operation: 64-51=13, Resulting Numbers: [36, 79, 13]
Generated Node #0,1: 30:[36, 79, 13] Operation: 64-51=13
Exploring Operation: 79-64=15, Resulting Numbers: [36, 51, 15]
Generated Node #0,2: 30:[36, 51, 15] Operation: 79-64=15
Exploring Operation: 64-36=28, Resulting Numbers: [51, 79, 28]
Generated Node #0,3: 30:[51, 79, 28] Operation: 64-36=28
Exploring Operation: 79-51=28, Resulting Numbers: [36, 64, 28]
Generated Node #0,4: 30:[36, 64, 28] Operation: 79-51=28
Moving to Node #0,2
Current State: 30:[36, 51, 15], Operations: ['79-64=15']
Exploring Operation: 36+15=51, Resulting Numbers: [51, 51]
Generated Node #0,2,0: 30:[51, 51] Operation: 36+15=51
Exploring Operation: 36-15=21, Resulting Numbers: [51, 21]
Generated Node #0,2,1: 30:[51, 21] Operation: 36-15=21
Exploring Operation: 51-36=15, Resulting Numbers: [15, 15]
Generated Node #0,2,2: 30:[15, 15] Operation: 51-36=15
Exploring Operation: 51+15=66, Resulting Numbers: [36, 66]
Generated Node #0,2,3: 30:[36, 66] Operation: 51+15=66
Exploring Operation: 51-15=36, Resulting Numbers: [36, 36]
Generated Node #0,2,4: 30:[36, 36] Operation: 51-15=36
Moving to Node #0,4
Current State: 30:[36, 64, 28], Operations: ['79-51=28']
Exploring Operation: 36+28=64, Resulting Numbers: [64, 64]
Generated Node #0,4,0: 30:[64, 64] Operation: 36+28=64
Exploring Operation: 64-28=36, Resulting Numbers: [36, 36]
Generated Node #0,4,1: 30:[36, 36] Operation: 64-28=36
Exploring Operation: 64-36=28, Resulting Numbers: [28, 28]
Generated Node #0,4,2: 30:[28, 28] Operation: 64-36=28
Exploring Operation: 36-28=8, Resulting Numbers: [64, 8]
Generated Node #0,4,3: 30:[64, 8] Operation: 36-28=8
Exploring Operation: 64+28=92, Resulting Numbers: [36, 92]
Generated Node #0,4,4: 30:[36, 92] Operation: 64+28=92
Moving to Node #0,1
Current State: 30:[36, 79, 13], Operations: ['64-51=13']
Exploring Operation: 79-36=43, Resulting Numbers: [13, 43]
Generated Node #0,1,0: 30:[13, 43] Operation: 79-36=43
Exploring Operation: 79-13=66, Resulting Numbers: [36, 66]
Generated Node #0,1,1: 30:[36, 66] Operation: 79-13=66
Exploring Operation: 36+13=49, Resulting Numbers: [79, 49]
Generated Node #0,1,2: 30:[79, 49] Operation: 36+13=49
Exploring Operation: 36-13=23, Resulting Numbers: [79, 23]
Generated Node #0,1,3: 30:[79, 23] Operation: 36-13=23
Exploring Operation: 79+13=92, Resulting Numbers: [36, 92]
Generated Node #0,1,4: 30:[36, 92] Operation: 79+13=92
Moving to Node #0,0
Current State: 30:[64, 51, 43], Operations: ['79-36=43']
Exploring Operation: 64-51=13, Resulting Numbers: [43, 13]
Generated Node #0,0,0: 30:[43, 13] Operation: 64-51=13
Exploring Operation: 64+51=115, Resulting Numbers: [43, 115]
Generated Node #0,0,1: 30:[43, 115] Operation: 64+51=115
Exploring Operation: 64+43=107, Resulting Numbers: [51, 107]
Generated Node #0,0,2: 30:[51, 107] Operation: 64+43=107
Exploring Operation: 51-43=8, Resulting Numbers: [64, 8]
Generated Node #0,0,3: 30:[64, 8] Operation: 51-43=8
Exploring Operation: 64-43=21, Resulting Numbers: [51, 21]
Generated Node #0,0,4: 30:[51, 21] Operation: 64-43=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[43, 13], Operations: ['79-36=43', '64-51=13']
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[36, 64, 51, 79], Operations: []
Exploring Operation: 79-36=43, Resulting Numbers: [64, 51, 43]
Generated Node #0,0: 30:[64, 51, 43] Operation: 79-36=43
Moving to Node #0,0
Current State: 30:[64, 51, 43], Operations: ['79-36=43']
Exploring Operation: 64-51=13, Resulting Numbers: [43, 13]
Generated Node #0,0,0: 30:[43, 13] Operation: 64-51=13
Moving to Node #0,0,0
Current State: 30:[43, 13], Operations: ['79-36=43', '64-51=13']
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_5 | sum_heuristic |
[
96,
46,
24,
28
] | 14 | [
"96/24=4",
"46-28=18",
"18-4=14"
] | Current State: 14:[96, 46, 24, 28], Operations: []
Exploring Operation: 96/24=4, Resulting Numbers: [46, 28, 4]
Generated Node #2: [46, 28, 4] from Operation: 96/24=4
Current State: 14:[46, 28, 4], Operations: ['96/24=4']
Exploring Operation: 46-28=18, Resulting Numbers: [4, 18]
Generated Node #3: [4, 18] from Operation: 46-28=18
Current State: 14:[4, 18], Operations: ['96/24=4', '46-28=18']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[96, 46, 24, 28], Operations: []
Exploring Operation: 96-28=68, Resulting Numbers: [46, 24, 68]
Generated Node #0,0: 14:[46, 24, 68] Operation: 96-28=68
Exploring Operation: 46-28=18, Resulting Numbers: [96, 24, 18]
Generated Node #0,1: 14:[96, 24, 18] Operation: 46-28=18
Exploring Operation: 96-46=50, Resulting Numbers: [24, 28, 50]
Generated Node #0,2: 14:[24, 28, 50] Operation: 96-46=50
Exploring Operation: 96/24=4, Resulting Numbers: [46, 28, 4]
Generated Node #0,3: 14:[46, 28, 4] Operation: 96/24=4
Exploring Operation: 96-24=72, Resulting Numbers: [46, 28, 72]
Generated Node #0,4: 14:[46, 28, 72] Operation: 96-24=72
Start Sub Search at level 1: Moving to Node #0,3
Current State: 14:[46, 28, 4], Operations: ['96/24=4']
Exploring Operation: 28-4=24, Resulting Numbers: [46, 24]
Generated Node #0,3,0: 14:[46, 24] Operation: 28-4=24
Exploring Operation: 46-28=18, Resulting Numbers: [4, 18]
Generated Node #0,3,1: 14:[4, 18] Operation: 46-28=18
Exploring Operation: 46-4=42, Resulting Numbers: [28, 42]
Generated Node #0,3,2: 14:[28, 42] Operation: 46-4=42
Exploring Operation: 46+4=50, Resulting Numbers: [28, 50]
Generated Node #0,3,3: 14:[28, 50] Operation: 46+4=50
Exploring Operation: 28/4=7, Resulting Numbers: [46, 7]
Generated Node #0,3,4: 14:[46, 7] Operation: 28/4=7
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 14:[4, 18], Operations: ['96/24=4', '46-28=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,14 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[96, 46, 24, 28], Operations: []
Exploring Operation: 96/24=4, Resulting Numbers: [46, 28, 4]
Generated Node #0,3: 14:[46, 28, 4] Operation: 96/24=4
Moving to Node #0,3
Current State: 14:[46, 28, 4], Operations: ['96/24=4']
Exploring Operation: 46-28=18, Resulting Numbers: [4, 18]
Generated Node #0,3,1: 14:[4, 18] Operation: 46-28=18
Moving to Node #0,3,1
Current State: 14:[4, 18], Operations: ['96/24=4', '46-28=18']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
71,
33,
40,
2
] | 24 | [
"71+33=104",
"40*2=80",
"104-80=24"
] | Current State: 24:[71, 33, 40, 2], Operations: []
Exploring Operation: 71+33=104, Resulting Numbers: [40, 2, 104]
Generated Node #2: [40, 2, 104] from Operation: 71+33=104
Current State: 24:[40, 2, 104], Operations: ['71+33=104']
Exploring Operation: 40*2=80, Resulting Numbers: [104, 80]
Generated Node #3: [104, 80] from Operation: 40*2=80
Current State: 24:[104, 80], Operations: ['71+33=104', '40*2=80']
Exploring Operation: 104-80=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[71, 33, 40, 2], Operations: []
Exploring Operation: 71-33=38, Resulting Numbers: [40, 2, 38]
Generated Node #0,0: 24:[40, 2, 38] Operation: 71-33=38
Exploring Operation: 71-40=31, Resulting Numbers: [33, 2, 31]
Generated Node #0,1: 24:[33, 2, 31] Operation: 71-40=31
Moving to Node #0,1
Current State: 24:[33, 2, 31], Operations: ['71-40=31']
Exploring Operation: 33-31=2, Resulting Numbers: [2, 2]
Generated Node #0,1,0: 24:[2, 2] Operation: 33-31=2
Exploring Operation: 33-2=31, Resulting Numbers: [31, 31]
Generated Node #0,1,1: 24:[31, 31] Operation: 33-2=31
Moving to Node #0,0
Current State: 24:[40, 2, 38], Operations: ['71-33=38']
Exploring Operation: 40-38=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 24:[2, 2] Operation: 40-38=2
Exploring Operation: 40/2=20, Resulting Numbers: [38, 20]
Generated Node #0,0,1: 24:[38, 20] Operation: 40/2=20
Moving to Node #0,1,0
Current State: 24:[2, 2], Operations: ['71-40=31', '33-31=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Moving to Node #0,0,0
Current State: 24:[2, 2], Operations: ['71-33=38', '40-38=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Moving to Node #0,1,1
Current State: 24:[31, 31], Operations: ['71-40=31', '33-2=31']
Exploring Operation: 31-31=0, Resulting Numbers: [0]
0,24 unequal: No Solution
Exploring Operation: 31/31=1, Resulting Numbers: [1]
1,24 unequal: No Solution
Moving to Node #0,0,1
Current State: 24:[38, 20], Operations: ['71-33=38', '40/2=20']
Exploring Operation: 38+20=58, Resulting Numbers: [58]
58,24 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,24 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
9,
12,
94,
18
] | 88 | [
"9*12=108",
"108/18=6",
"94-6=88"
] | Current State: 88:[9, 12, 94, 18], Operations: []
Exploring Operation: 9*12=108, Resulting Numbers: [94, 18, 108]
Generated Node #2: [94, 18, 108] from Operation: 9*12=108
Current State: 88:[94, 18, 108], Operations: ['9*12=108']
Exploring Operation: 108/18=6, Resulting Numbers: [94, 6]
Generated Node #3: [94, 6] from Operation: 108/18=6
Current State: 88:[94, 6], Operations: ['9*12=108', '108/18=6']
Exploring Operation: 94-6=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[9, 12, 94, 18], Operations: []
Exploring Operation: 18/9=2, Resulting Numbers: [12, 94, 2]
Generated Node #0,0: 88:[12, 94, 2] Operation: 18/9=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[12, 94, 2], Operations: ['18/9=2']
Exploring Operation: 94/2=47, Resulting Numbers: [12, 47]
Generated Node #0,0,0: 88:[12, 47] Operation: 94/2=47
Moving to Node #0,0,0
Current State: 88:[12, 47], Operations: ['18/9=2', '94/2=47']
Exploring Operation: 47-12=35, Resulting Numbers: [35]
35,88 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 |
[
51,
9,
14,
81
] | 75 | [
"81/9=9",
"14*9=126",
"126-51=75"
] | Current State: 75:[51, 9, 14, 81], Operations: []
Exploring Operation: 81/9=9, Resulting Numbers: [51, 14, 9]
Generated Node #2: [51, 14, 9] from Operation: 81/9=9
Current State: 75:[51, 14, 9], Operations: ['81/9=9']
Exploring Operation: 14*9=126, Resulting Numbers: [51, 126]
Generated Node #3: [51, 126] from Operation: 14*9=126
Current State: 75:[51, 126], Operations: ['81/9=9', '14*9=126']
Exploring Operation: 126-51=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[51, 9, 14, 81], Operations: []
Exploring Operation: 81-51=30, Resulting Numbers: [9, 14, 30]
Generated Node #0,0: 75:[9, 14, 30] Operation: 81-51=30
Exploring Operation: 51+14=65, Resulting Numbers: [9, 81, 65]
Generated Node #0,1: 75:[9, 81, 65] Operation: 51+14=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[9, 14, 30], Operations: ['81-51=30']
Exploring Operation: 30-9=21, Resulting Numbers: [14, 21]
Generated Node #0,0,0: 75:[14, 21] Operation: 30-9=21
Exploring Operation: 14-9=5, Resulting Numbers: [30, 5]
Generated Node #0,0,1: 75:[30, 5] Operation: 14-9=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[14, 21], Operations: ['81-51=30', '30-9=21']
Exploring Operation: 14+21=35, Resulting Numbers: [35]
35,75 unequal: No Solution
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 75:[30, 5], Operations: ['81-51=30', '14-9=5']
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,75 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,75 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:[9, 81, 65], Operations: ['51+14=65']
Exploring Operation: 9+65=74, Resulting Numbers: [81, 74]
Generated Node #0,1,0: 75:[81, 74] Operation: 9+65=74
Exploring Operation: 81-65=16, Resulting Numbers: [9, 16]
Generated Node #0,1,1: 75:[9, 16] Operation: 81-65=16
Moving to Node #0,1,1
Current State: 75:[9, 16], Operations: ['51+14=65', '81-65=16']
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,75 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[81, 74], Operations: ['51+14=65', '9+65=74']
Exploring Operation: 81+74=155, Resulting Numbers: [155]
155,75 unequal: No Solution
Exploring Operation: 81-74=7, Resulting Numbers: [7]
7,75 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 |
[
40,
18,
61,
19
] | 58 | [
"40-18=22",
"61+19=80",
"80-22=58"
] | Current State: 58:[40, 18, 61, 19], Operations: []
Exploring Operation: 40-18=22, Resulting Numbers: [61, 19, 22]
Generated Node #2: [61, 19, 22] from Operation: 40-18=22
Current State: 58:[61, 19, 22], Operations: ['40-18=22']
Exploring Operation: 61+19=80, Resulting Numbers: [22, 80]
Generated Node #3: [22, 80] from Operation: 61+19=80
Current State: 58:[22, 80], Operations: ['40-18=22', '61+19=80']
Exploring Operation: 80-22=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[40, 18, 61, 19], Operations: []
Exploring Operation: 19-18=1, Resulting Numbers: [40, 61, 1]
Generated Node #0,0: 58:[40, 61, 1] Operation: 19-18=1
Exploring Operation: 40-19=21, Resulting Numbers: [18, 61, 21]
Generated Node #0,1: 58:[18, 61, 21] Operation: 40-19=21
Exploring Operation: 40+18=58, Resulting Numbers: [61, 19, 58]
Generated Node #0,2: 58:[61, 19, 58] Operation: 40+18=58
Exploring Operation: 40-18=22, Resulting Numbers: [61, 19, 22]
Generated Node #0,3: 58:[61, 19, 22] Operation: 40-18=22
Exploring Operation: 40+19=59, Resulting Numbers: [18, 61, 59]
Generated Node #0,4: 58:[18, 61, 59] Operation: 40+19=59
Start Sub Search at level 1: Moving to Node #0,2
Current State: 58:[61, 19, 58], Operations: ['40+18=58']
Exploring Operation: 61-58=3, Resulting Numbers: [19, 3]
Generated Node #0,2,0: 58:[19, 3] Operation: 61-58=3
Exploring Operation: 19+58=77, Resulting Numbers: [61, 77]
Generated Node #0,2,1: 58:[61, 77] Operation: 19+58=77
Exploring Operation: 61+19=80, Resulting Numbers: [58, 80]
Generated Node #0,2,2: 58:[58, 80] Operation: 61+19=80
Exploring Operation: 58-19=39, Resulting Numbers: [61, 39]
Generated Node #0,2,3: 58:[61, 39] Operation: 58-19=39
Exploring Operation: 61-19=42, Resulting Numbers: [58, 42]
Generated Node #0,2,4: 58:[58, 42] Operation: 61-19=42
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 58:[19, 3], Operations: ['40+18=58', '61-58=3']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,58 unequal: No Solution
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,58 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 #0,2,3
Current State: 58:[61, 39], Operations: ['40+18=58', '58-19=39']
Exploring Operation: 61+39=100, Resulting Numbers: [100]
100,58 unequal: No Solution
Exploring Operation: 61-39=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 61*39=2379, Resulting Numbers: [2379]
2379,58 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 #0,2,4
Current State: 58:[58, 42], Operations: ['40+18=58', '61-19=42']
Exploring Operation: 58+42=100, Resulting Numbers: [100]
100,58 unequal: No Solution
Exploring Operation: 58*42=2436, Resulting Numbers: [2436]
2436,58 unequal: No Solution
Exploring Operation: 58-42=16, Resulting Numbers: [16]
16,58 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 #0,2,1
Current State: 58:[61, 77], Operations: ['40+18=58', '19+58=77']
Exploring Operation: 77-61=16, Resulting Numbers: [16]
16,58 unequal: No Solution
Exploring Operation: 61*77=4697, Resulting Numbers: [4697]
4697,58 unequal: No Solution
Exploring Operation: 61+77=138, Resulting Numbers: [138]
138,58 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 #0,2,2
Current State: 58:[58, 80], Operations: ['40+18=58', '61+19=80']
Exploring Operation: 58*80=4640, Resulting Numbers: [4640]
4640,58 unequal: No Solution
Exploring Operation: 80-58=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 58+80=138, Resulting Numbers: [138]
138,58 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:[40, 61, 1], Operations: ['19-18=1']
Exploring Operation: 40-1=39, Resulting Numbers: [61, 39]
Generated Node #0,0,0: 58:[61, 39] Operation: 40-1=39
Exploring Operation: 61-1=60, Resulting Numbers: [40, 60]
Generated Node #0,0,1: 58:[40, 60] Operation: 61-1=60
Exploring Operation: 40/1=40, Resulting Numbers: [61, 40]
Generated Node #0,0,2: 58:[61, 40] Operation: 40/1=40
Exploring Operation: 61-40=21, Resulting Numbers: [1, 21]
Generated Node #0,0,3: 58:[1, 21] Operation: 61-40=21
Exploring Operation: 40*1=40, Resulting Numbers: [61, 40]
Generated Node #0,0,4: 58:[61, 40] Operation: 40*1=40
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 58:[1, 21], Operations: ['19-18=1', '61-40=21']
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,58 unequal: No Solution
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 1*21=21, Resulting Numbers: [21]
21,58 unequal: No Solution
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[61, 39], Operations: ['19-18=1', '40-1=39']
Exploring Operation: 61+39=100, Resulting Numbers: [100]
100,58 unequal: No Solution
Exploring Operation: 61*39=2379, Resulting Numbers: [2379]
2379,58 unequal: No Solution
Exploring Operation: 61-39=22, Resulting Numbers: [22]
22,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 58:[40, 60], Operations: ['19-18=1', '61-1=60']
Exploring Operation: 40*60=2400, Resulting Numbers: [2400]
2400,58 unequal: No Solution
Exploring Operation: 60-40=20, Resulting Numbers: [20]
20,58 unequal: No Solution
Exploring Operation: 40+60=100, Resulting Numbers: [100]
100,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 58:[61, 40], Operations: ['19-18=1', '40/1=40']
Exploring Operation: 61*40=2440, Resulting Numbers: [2440]
2440,58 unequal: No Solution
Exploring Operation: 61-40=21, Resulting Numbers: [21]
21,58 unequal: No Solution
Exploring Operation: 61+40=101, Resulting Numbers: [101]
101,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 58:[61, 40], Operations: ['19-18=1', '40*1=40']
Exploring Operation: 61+40=101, Resulting Numbers: [101]
101,58 unequal: No Solution
Exploring Operation: 61*40=2440, Resulting Numbers: [2440]
2440,58 unequal: No Solution
Exploring Operation: 61-40=21, Resulting Numbers: [21]
21,58 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 #0,4
Current State: 58:[18, 61, 59], Operations: ['40+19=59']
Exploring Operation: 18+61=79, Resulting Numbers: [59, 79]
Generated Node #0,4,0: 58:[59, 79] Operation: 18+61=79
Exploring Operation: 61-18=43, Resulting Numbers: [59, 43]
Generated Node #0,4,1: 58:[59, 43] Operation: 61-18=43
Exploring Operation: 18+59=77, Resulting Numbers: [61, 77]
Generated Node #0,4,2: 58:[61, 77] Operation: 18+59=77
Exploring Operation: 61-59=2, Resulting Numbers: [18, 2]
Generated Node #0,4,3: 58:[18, 2] Operation: 61-59=2
Exploring Operation: 59-18=41, Resulting Numbers: [61, 41]
Generated Node #0,4,4: 58:[61, 41] Operation: 59-18=41
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 58:[18, 2], Operations: ['40+19=59', '61-59=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,58 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,58 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,58 unequal: No Solution
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,58 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 #0,4,1
Current State: 58:[59, 43], Operations: ['40+19=59', '61-18=43']
Exploring Operation: 59+43=102, Resulting Numbers: [102]
102,58 unequal: No Solution
Exploring Operation: 59*43=2537, Resulting Numbers: [2537]
2537,58 unequal: No Solution
Exploring Operation: 59-43=16, Resulting Numbers: [16]
16,58 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 #0,4,4
Current State: 58:[61, 41], Operations: ['40+19=59', '59-18=41']
Exploring Operation: 61+41=102, Resulting Numbers: [102]
102,58 unequal: No Solution
Exploring Operation: 61*41=2501, Resulting Numbers: [2501]
2501,58 unequal: No Solution
Exploring Operation: 61-41=20, Resulting Numbers: [20]
20,58 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 #0,4,0
Current State: 58:[59, 79], Operations: ['40+19=59', '18+61=79']
Exploring Operation: 59*79=4661, Resulting Numbers: [4661]
4661,58 unequal: No Solution
Exploring Operation: 79-59=20, Resulting Numbers: [20]
20,58 unequal: No Solution
Exploring Operation: 59+79=138, Resulting Numbers: [138]
138,58 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 #0,4,2
Current State: 58:[61, 77], Operations: ['40+19=59', '18+59=77']
Exploring Operation: 61+77=138, Resulting Numbers: [138]
138,58 unequal: No Solution
Exploring Operation: 77-61=16, Resulting Numbers: [16]
16,58 unequal: No Solution
Exploring Operation: 61*77=4697, Resulting Numbers: [4697]
4697,58 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 #0,3
Current State: 58:[61, 19, 22], Operations: ['40-18=22']
Exploring Operation: 61-22=39, Resulting Numbers: [19, 39]
Generated Node #0,3,0: 58:[19, 39] Operation: 61-22=39
Exploring Operation: 19+22=41, Resulting Numbers: [61, 41]
Generated Node #0,3,1: 58:[61, 41] Operation: 19+22=41
Exploring Operation: 22-19=3, Resulting Numbers: [61, 3]
Generated Node #0,3,2: 58:[61, 3] Operation: 22-19=3
Exploring Operation: 61+19=80, Resulting Numbers: [22, 80]
Generated Node #0,3,3: 58:[22, 80] Operation: 61+19=80
Exploring Operation: 61-19=42, Resulting Numbers: [22, 42]
Generated Node #0,3,4: 58:[22, 42] Operation: 61-19=42
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 58:[61, 3], Operations: ['40-18=22', '22-19=3']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[40, 18, 61, 19], Operations: []
Exploring Operation: 40-18=22, Resulting Numbers: [61, 19, 22]
Generated Node #0,3: 58:[61, 19, 22] Operation: 40-18=22
Moving to Node #0,3
Current State: 58:[61, 19, 22], Operations: ['40-18=22']
Exploring Operation: 22-19=3, Resulting Numbers: [61, 3]
Generated Node #0,3,2: 58:[61, 3] Operation: 22-19=3
Moving to Node #0,3,2
Current State: 58:[61, 3], Operations: ['40-18=22', '22-19=3']
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.93316 | hs_5 | sum_heuristic |
[
3,
9,
71,
62
] | 15 | [
"9-3=6",
"71-62=9",
"6+9=15"
] | Current State: 15:[3, 9, 71, 62], Operations: []
Exploring Operation: 9-3=6, Resulting Numbers: [71, 62, 6]
Generated Node #2: [71, 62, 6] from Operation: 9-3=6
Current State: 15:[71, 62, 6], Operations: ['9-3=6']
Exploring Operation: 71-62=9, Resulting Numbers: [6, 9]
Generated Node #3: [6, 9] from Operation: 71-62=9
Current State: 15:[6, 9], Operations: ['9-3=6', '71-62=9']
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[3, 9, 71, 62], Operations: []
Exploring Operation: 71-62=9, Resulting Numbers: [3, 9, 9]
Generated Node #0,0: 15:[3, 9, 9] Operation: 71-62=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[3, 9, 9], Operations: ['71-62=9']
Exploring Operation: 9/9=1, Resulting Numbers: [3, 1]
Generated Node #0,0,0: 15:[3, 1] Operation: 9/9=1
Moving to Node #0,0,0
Current State: 15:[3, 1], Operations: ['71-62=9', '9/9=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,15 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 |
[
57,
4,
68,
41
] | 17 | [
"57-41=16",
"4*68=272",
"272/16=17"
] | Current State: 17:[57, 4, 68, 41], Operations: []
Exploring Operation: 57-41=16, Resulting Numbers: [4, 68, 16]
Generated Node #2: [4, 68, 16] from Operation: 57-41=16
Current State: 17:[4, 68, 16], Operations: ['57-41=16']
Exploring Operation: 4*68=272, Resulting Numbers: [16, 272]
Generated Node #3: [16, 272] from Operation: 4*68=272
Current State: 17:[16, 272], Operations: ['57-41=16', '4*68=272']
Exploring Operation: 272/16=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[57, 4, 68, 41], Operations: []
Exploring Operation: 68/4=17, Resulting Numbers: [57, 41, 17]
Generated Node #0,0: 17:[57, 41, 17] Operation: 68/4=17
Exploring Operation: 57-4=53, Resulting Numbers: [68, 41, 53]
Generated Node #0,1: 17:[68, 41, 53] Operation: 57-4=53
Exploring Operation: 68-57=11, Resulting Numbers: [4, 41, 11]
Generated Node #0,2: 17:[4, 41, 11] Operation: 68-57=11
Exploring Operation: 57-41=16, Resulting Numbers: [4, 68, 16]
Generated Node #0,3: 17:[4, 68, 16] Operation: 57-41=16
Exploring Operation: 68-41=27, Resulting Numbers: [57, 4, 27]
Generated Node #0,4: 17:[57, 4, 27] Operation: 68-41=27
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[4, 41, 11], Operations: ['68-57=11']
Exploring Operation: 4+11=15, Resulting Numbers: [41, 15]
Generated Node #0,2,0: 17:[41, 15] Operation: 4+11=15
Exploring Operation: 11-4=7, Resulting Numbers: [41, 7]
Generated Node #0,2,1: 17:[41, 7] Operation: 11-4=7
Exploring Operation: 41-11=30, Resulting Numbers: [4, 30]
Generated Node #0,2,2: 17:[4, 30] Operation: 41-11=30
Exploring Operation: 41-4=37, Resulting Numbers: [11, 37]
Generated Node #0,2,3: 17:[11, 37] Operation: 41-4=37
Exploring Operation: 4+41=45, Resulting Numbers: [11, 45]
Generated Node #0,2,4: 17:[11, 45] Operation: 4+41=45
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 17:[41, 15], Operations: ['68-57=11', '4+11=15']
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,17 unequal: No Solution
Exploring Operation: 41+15=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 41*15=615, Resulting Numbers: [615]
615,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 17:[4, 30], Operations: ['68-57=11', '41-11=30']
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,17 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,17 unequal: No Solution
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 17:[11, 37], Operations: ['68-57=11', '41-4=37']
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,17 unequal: No Solution
Exploring Operation: 11*37=407, Resulting Numbers: [407]
407,17 unequal: No Solution
Exploring Operation: 11+37=48, Resulting Numbers: [48]
48,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 17:[41, 7], Operations: ['68-57=11', '11-4=7']
Exploring Operation: 41*7=287, Resulting Numbers: [287]
287,17 unequal: No Solution
Exploring Operation: 41+7=48, Resulting Numbers: [48]
48,17 unequal: No Solution
Exploring Operation: 41-7=34, Resulting Numbers: [34]
34,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 17:[11, 45], Operations: ['68-57=11', '4+41=45']
Exploring Operation: 11+45=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 11*45=495, Resulting Numbers: [495]
495,17 unequal: No Solution
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,17 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: 17:[57, 4, 27], Operations: ['68-41=27']
Exploring Operation: 57-4=53, Resulting Numbers: [27, 53]
Generated Node #0,4,0: 17:[27, 53] Operation: 57-4=53
Exploring Operation: 27-4=23, Resulting Numbers: [57, 23]
Generated Node #0,4,1: 17:[57, 23] Operation: 27-4=23
Exploring Operation: 57+4=61, Resulting Numbers: [27, 61]
Generated Node #0,4,2: 17:[27, 61] Operation: 57+4=61
Exploring Operation: 57-27=30, Resulting Numbers: [4, 30]
Generated Node #0,4,3: 17:[4, 30] Operation: 57-27=30
Exploring Operation: 4+27=31, Resulting Numbers: [57, 31]
Generated Node #0,4,4: 17:[57, 31] Operation: 4+27=31
Moving to Node #0,4,3
Current State: 17:[4, 30], Operations: ['68-41=27', '57-27=30']
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,17 unequal: No Solution
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,17 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,17 unequal: No Solution
Moving to Node #0,4,1
Current State: 17:[57, 23], Operations: ['68-41=27', '27-4=23']
Exploring Operation: 57*23=1311, Resulting Numbers: [1311]
1311,17 unequal: No Solution
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,17 unequal: No Solution
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,17 unequal: No Solution
Moving to Node #0,4,0
Current State: 17:[27, 53], Operations: ['68-41=27', '57-4=53']
Exploring Operation: 27+53=80, Resulting Numbers: [80]
80,17 unequal: No Solution
Exploring Operation: 27*53=1431, Resulting Numbers: [1431]
1431,17 unequal: No Solution
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,17 unequal: No Solution
Moving to Node #0,4,2
Current State: 17:[27, 61], Operations: ['68-41=27', '57+4=61']
Exploring Operation: 27*61=1647, Resulting Numbers: [1647]
1647,17 unequal: No Solution
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,17 unequal: No Solution
Exploring Operation: 27+61=88, Resulting Numbers: [88]
88,17 unequal: No Solution
Moving to Node #0,4,4
Current State: 17:[57, 31], Operations: ['68-41=27', '4+27=31']
Exploring Operation: 57-31=26, Resulting Numbers: [26]
26,17 unequal: No Solution
Exploring Operation: 57*31=1767, Resulting Numbers: [1767]
1767,17 unequal: No Solution
Exploring Operation: 57+31=88, Resulting Numbers: [88]
88,17 unequal: No Solution
No 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: 17:[57, 41, 17], Operations: ['68/4=17']
Exploring Operation: 57-17=40, Resulting Numbers: [41, 40]
Generated Node #0,0,0: 17:[41, 40] Operation: 57-17=40
Exploring Operation: 41-17=24, Resulting Numbers: [57, 24]
Generated Node #0,0,1: 17:[57, 24] Operation: 41-17=24
Exploring Operation: 57-41=16, Resulting Numbers: [17, 16]
Generated Node #0,0,2: 17:[17, 16] Operation: 57-41=16
Exploring Operation: 57+41=98, Resulting Numbers: [17, 98]
Generated Node #0,0,3: 17:[17, 98] Operation: 57+41=98
Exploring Operation: 57+17=74, Resulting Numbers: [41, 74]
Generated Node #0,0,4: 17:[41, 74] Operation: 57+17=74
Moving to Node #0,0,2
Current State: 17:[17, 16], Operations: ['68/4=17', '57-41=16']
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Exploring Operation: 17*16=272, Resulting Numbers: [272]
272,17 unequal: No Solution
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,17 unequal: No Solution
Moving to Node #0,0,1
Current State: 17:[57, 24], Operations: ['68/4=17', '41-17=24']
Exploring Operation: 57*24=1368, Resulting Numbers: [1368]
1368,17 unequal: No Solution
Exploring Operation: 57-24=33, Resulting Numbers: [33]
33,17 unequal: No Solution
Exploring Operation: 57+24=81, Resulting Numbers: [81]
81,17 unequal: No Solution
Moving to Node #0,0,0
Current State: 17:[41, 40], Operations: ['68/4=17', '57-17=40']
Exploring Operation: 41*40=1640, Resulting Numbers: [1640]
1640,17 unequal: No Solution
Exploring Operation: 41+40=81, Resulting Numbers: [81]
81,17 unequal: No Solution
Exploring Operation: 41-40=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Moving to Node #0,0,3
Current State: 17:[17, 98], Operations: ['68/4=17', '57+41=98']
Exploring Operation: 17*98=1666, Resulting Numbers: [1666]
1666,17 unequal: No Solution
Exploring Operation: 17+98=115, Resulting Numbers: [115]
115,17 unequal: No Solution
Exploring Operation: 98-17=81, Resulting Numbers: [81]
81,17 unequal: No Solution
Moving to Node #0,0,4
Current State: 17:[41, 74], Operations: ['68/4=17', '57+17=74']
Exploring Operation: 41+74=115, Resulting Numbers: [115]
115,17 unequal: No Solution
Exploring Operation: 74-41=33, Resulting Numbers: [33]
33,17 unequal: No Solution
Exploring Operation: 41*74=3034, Resulting Numbers: [3034]
3034,17 unequal: No Solution
No 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: 17:[4, 68, 16], Operations: ['57-41=16']
Exploring Operation: 4+16=20, Resulting Numbers: [68, 20]
Generated Node #0,3,0: 17:[68, 20] Operation: 4+16=20
Exploring Operation: 68/4=17, Resulting Numbers: [16, 17]
Generated Node #0,3,1: 17:[16, 17] Operation: 68/4=17
Exploring Operation: 68-16=52, Resulting Numbers: [4, 52]
Generated Node #0,3,2: 17:[4, 52] Operation: 68-16=52
Exploring Operation: 4+68=72, Resulting Numbers: [16, 72]
Generated Node #0,3,3: 17:[16, 72] Operation: 4+68=72
Exploring Operation: 68-4=64, Resulting Numbers: [16, 64]
Generated Node #0,3,4: 17:[16, 64] Operation: 68-4=64
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 17:[16, 17], Operations: ['57-41=16', '68/4=17']
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Exploring Operation: 16+17=33, Resulting Numbers: [33]
33,17 unequal: No Solution
Exploring Operation: 16*17=272, Resulting Numbers: [272]
272,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 17:[4, 52], Operations: ['57-41=16', '68-16=52']
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,17 unequal: No Solution
Exploring Operation: 4*52=208, Resulting Numbers: [208]
208,17 unequal: No Solution
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 17:[16, 64], Operations: ['57-41=16', '68-4=64']
Exploring Operation: 16*64=1024, Resulting Numbers: [1024]
1024,17 unequal: No Solution
Exploring Operation: 16+64=80, Resulting Numbers: [80]
80,17 unequal: No Solution
Exploring Operation: 64-16=48, Resulting Numbers: [48]
48,17 unequal: No Solution
Exploring Operation: 64/16=4, Resulting Numbers: [4]
4,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 17:[68, 20], Operations: ['57-41=16', '4+16=20']
Exploring Operation: 68*20=1360, Resulting Numbers: [1360]
1360,17 unequal: No Solution
Exploring Operation: 68+20=88, Resulting Numbers: [88]
88,17 unequal: No Solution
Exploring Operation: 68-20=48, Resulting Numbers: [48]
48,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 17:[16, 72], Operations: ['57-41=16', '4+68=72']
Exploring Operation: 72-16=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 16*72=1152, Resulting Numbers: [1152]
1152,17 unequal: No Solution
Exploring Operation: 16+72=88, Resulting Numbers: [88]
88,17 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: 17:[68, 41, 53], Operations: ['57-4=53']
Exploring Operation: 68+41=109, Resulting Numbers: [53, 109]
Generated Node #0,1,0: 17:[53, 109] Operation: 68+41=109
Exploring Operation: 68+53=121, Resulting Numbers: [41, 121]
Generated Node #0,1,1: 17:[41, 121] Operation: 68+53=121
Exploring Operation: 53-41=12, Resulting Numbers: [68, 12]
Generated Node #0,1,2: 17:[68, 12] Operation: 53-41=12
Exploring Operation: 68-53=15, Resulting Numbers: [41, 15]
Generated Node #0,1,3: 17:[41, 15] Operation: 68-53=15
Exploring Operation: 68-41=27, Resulting Numbers: [53, 27]
Generated Node #0,1,4: 17:[53, 27] Operation: 68-41=27
Moving to Node #0,1,3
Current State: 17:[41, 15], Operations: ['57-4=53', '68-53=15']
Exploring Operation: 41+15=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 41*15=615, Resulting Numbers: [615]
615,17 unequal: No Solution
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,17 unequal: No Solution
Moving to Node #0,1,4
Current State: 17:[53, 27], Operations: ['57-4=53', '68-41=27']
Exploring Operation: 53*27=1431, Resulting Numbers: [1431]
1431,17 unequal: No Solution
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,17 unequal: No Solution
Exploring Operation: 53+27=80, Resulting Numbers: [80]
80,17 unequal: No Solution
Moving to Node #0,1,2
Current State: 17:[68, 12], Operations: ['57-4=53', '53-41=12']
Exploring Operation: 68+12=80, Resulting Numbers: [80]
80,17 unequal: No Solution
Exploring Operation: 68-12=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 68*12=816, Resulting Numbers: [816]
816,17 unequal: No Solution
Moving to Node #0,1,0
Current State: 17:[53, 109], Operations: ['57-4=53', '68+41=109']
Exploring Operation: 53+109=162, Resulting Numbers: [162]
162,17 unequal: No Solution
Exploring Operation: 109-53=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 53*109=5777, Resulting Numbers: [5777]
5777,17 unequal: No Solution
Moving to Node #0,1,1
Current State: 17:[41, 121], Operations: ['57-4=53', '68+53=121']
Exploring Operation: 41+121=162, Resulting Numbers: [162]
162,17 unequal: No Solution
Exploring Operation: 121-41=80, Resulting Numbers: [80]
80,17 unequal: No Solution
Exploring Operation: 41*121=4961, Resulting Numbers: [4961]
4961,17 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 |
[
96,
68,
56,
62
] | 22 | [
"96-68=28",
"62-56=6",
"28-6=22"
] | Current State: 22:[96, 68, 56, 62], Operations: []
Exploring Operation: 96-68=28, Resulting Numbers: [56, 62, 28]
Generated Node #2: [56, 62, 28] from Operation: 96-68=28
Current State: 22:[56, 62, 28], Operations: ['96-68=28']
Exploring Operation: 62-56=6, Resulting Numbers: [28, 6]
Generated Node #3: [28, 6] from Operation: 62-56=6
Current State: 22:[28, 6], Operations: ['96-68=28', '62-56=6']
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[96, 68, 56, 62], Operations: []
Exploring Operation: 96-68=28, Resulting Numbers: [56, 62, 28]
Generated Node #0,0: 22:[56, 62, 28] Operation: 96-68=28
Exploring Operation: 68-56=12, Resulting Numbers: [96, 62, 12]
Generated Node #0,1: 22:[96, 62, 12] Operation: 68-56=12
Exploring Operation: 68-62=6, Resulting Numbers: [96, 56, 6]
Generated Node #0,2: 22:[96, 56, 6] Operation: 68-62=6
Exploring Operation: 96-56=40, Resulting Numbers: [68, 62, 40]
Generated Node #0,3: 22:[68, 62, 40] Operation: 96-56=40
Exploring Operation: 96-62=34, Resulting Numbers: [68, 56, 34]
Generated Node #0,4: 22:[68, 56, 34] Operation: 96-62=34
Moving to Node #0,0
Current State: 22:[56, 62, 28], Operations: ['96-68=28']
Exploring Operation: 56+62=118, Resulting Numbers: [28, 118]
Generated Node #0,0,0: 22:[28, 118] Operation: 56+62=118
Exploring Operation: 56/28=2, Resulting Numbers: [62, 2]
Generated Node #0,0,1: 22:[62, 2] Operation: 56/28=2
Exploring Operation: 56-28=28, Resulting Numbers: [62, 28]
Generated Node #0,0,2: 22:[62, 28] Operation: 56-28=28
Exploring Operation: 62-28=34, Resulting Numbers: [56, 34]
Generated Node #0,0,3: 22:[56, 34] Operation: 62-28=34
Exploring Operation: 62-56=6, Resulting Numbers: [28, 6]
Generated Node #0,0,4: 22:[28, 6] Operation: 62-56=6
Moving to Node #0,4
Current State: 22:[68, 56, 34], Operations: ['96-62=34']
Exploring Operation: 68-34=34, Resulting Numbers: [56, 34]
Generated Node #0,4,0: 22:[56, 34] Operation: 68-34=34
Exploring Operation: 56-34=22, Resulting Numbers: [68, 22]
Generated Node #0,4,1: 22:[68, 22] Operation: 56-34=22
Exploring Operation: 68+56=124, Resulting Numbers: [34, 124]
Generated Node #0,4,2: 22:[34, 124] Operation: 68+56=124
Exploring Operation: 68-56=12, Resulting Numbers: [34, 12]
Generated Node #0,4,3: 22:[34, 12] Operation: 68-56=12
Exploring Operation: 68/34=2, Resulting Numbers: [56, 2]
Generated Node #0,4,4: 22:[56, 2] Operation: 68/34=2
Moving to Node #0,3
Current State: 22:[68, 62, 40], Operations: ['96-56=40']
Exploring Operation: 68+62=130, Resulting Numbers: [40, 130]
Generated Node #0,3,0: 22:[40, 130] Operation: 68+62=130
Exploring Operation: 68-62=6, Resulting Numbers: [40, 6]
Generated Node #0,3,1: 22:[40, 6] Operation: 68-62=6
Exploring Operation: 62-40=22, Resulting Numbers: [68, 22]
Generated Node #0,3,2: 22:[68, 22] Operation: 62-40=22
Exploring Operation: 68+40=108, Resulting Numbers: [62, 108]
Generated Node #0,3,3: 22:[62, 108] Operation: 68+40=108
Exploring Operation: 68-40=28, Resulting Numbers: [62, 28]
Generated Node #0,3,4: 22:[62, 28] Operation: 68-40=28
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 22:[40, 6], Operations: ['96-56=40', '68-62=6']
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Exploring Operation: 40+6=46, Resulting Numbers: [46]
46,22 unequal: No Solution
Exploring Operation: 40*6=240, Resulting Numbers: [240]
240,22 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 #0,3,2
Current State: 22:[68, 22], Operations: ['96-56=40', '62-40=22']
Exploring Operation: 68*22=1496, Resulting Numbers: [1496]
1496,22 unequal: No Solution
Exploring Operation: 68+22=90, Resulting Numbers: [90]
90,22 unequal: No Solution
Exploring Operation: 68-22=46, Resulting Numbers: [46]
46,22 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 #0,3,4
Current State: 22:[62, 28], Operations: ['96-56=40', '68-40=28']
Exploring Operation: 62*28=1736, Resulting Numbers: [1736]
1736,22 unequal: No Solution
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Exploring Operation: 62+28=90, Resulting Numbers: [90]
90,22 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 #0,3,0
Current State: 22:[40, 130], Operations: ['96-56=40', '68+62=130']
Exploring Operation: 40+130=170, Resulting Numbers: [170]
170,22 unequal: No Solution
Exploring Operation: 40*130=5200, Resulting Numbers: [5200]
5200,22 unequal: No Solution
Exploring Operation: 130-40=90, Resulting Numbers: [90]
90,22 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 #0,3,3
Current State: 22:[62, 108], Operations: ['96-56=40', '68+40=108']
Exploring Operation: 108-62=46, Resulting Numbers: [46]
46,22 unequal: No Solution
Exploring Operation: 62+108=170, Resulting Numbers: [170]
170,22 unequal: No Solution
Exploring Operation: 62*108=6696, Resulting Numbers: [6696]
6696,22 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: 22:[96, 56, 6], Operations: ['68-62=6']
Exploring Operation: 96-6=90, Resulting Numbers: [56, 90]
Generated Node #0,2,0: 22:[56, 90] Operation: 96-6=90
Exploring Operation: 96/6=16, Resulting Numbers: [56, 16]
Generated Node #0,2,1: 22:[56, 16] Operation: 96/6=16
Exploring Operation: 96-56=40, Resulting Numbers: [6, 40]
Generated Node #0,2,2: 22:[6, 40] Operation: 96-56=40
Exploring Operation: 56-6=50, Resulting Numbers: [96, 50]
Generated Node #0,2,3: 22:[96, 50] Operation: 56-6=50
Exploring Operation: 96+6=102, Resulting Numbers: [56, 102]
Generated Node #0,2,4: 22:[56, 102] Operation: 96+6=102
Moving to Node #0,1
Current State: 22:[96, 62, 12], Operations: ['68-56=12']
Exploring Operation: 96/12=8, Resulting Numbers: [62, 8]
Generated Node #0,1,0: 22:[62, 8] Operation: 96/12=8
Exploring Operation: 62-12=50, Resulting Numbers: [96, 50]
Generated Node #0,1,1: 22:[96, 50] Operation: 62-12=50
Exploring Operation: 96-62=34, Resulting Numbers: [12, 34]
Generated Node #0,1,2: 22:[12, 34] Operation: 96-62=34
Exploring Operation: 96+12=108, Resulting Numbers: [62, 108]
Generated Node #0,1,3: 22:[62, 108] Operation: 96+12=108
Exploring Operation: 96-12=84, Resulting Numbers: [62, 84]
Generated Node #0,1,4: 22:[62, 84] Operation: 96-12=84
Moving to Node #0,0,4
Current State: 22:[28, 6], Operations: ['96-68=28', '62-56=6']
Exploring Operation: 28*6=168, Resulting Numbers: [168]
168,22 unequal: No Solution
Exploring Operation: 28+6=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[96, 68, 56, 62], Operations: []
Exploring Operation: 96-68=28, Resulting Numbers: [56, 62, 28]
Generated Node #0,0: 22:[56, 62, 28] Operation: 96-68=28
Moving to Node #0,0
Current State: 22:[56, 62, 28], Operations: ['96-68=28']
Exploring Operation: 62-56=6, Resulting Numbers: [28, 6]
Generated Node #0,0,4: 22:[28, 6] Operation: 62-56=6
Moving to Node #0,0,4
Current State: 22:[28, 6], Operations: ['96-68=28', '62-56=6']
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 0.954861 | hs_5 | sum_heuristic |
[
50,
20,
16,
86
] | 40 | [
"50-20=30",
"86-16=70",
"70-30=40"
] | Current State: 40:[50, 20, 16, 86], Operations: []
Exploring Operation: 50-20=30, Resulting Numbers: [16, 86, 30]
Generated Node #2: [16, 86, 30] from Operation: 50-20=30
Current State: 40:[16, 86, 30], Operations: ['50-20=30']
Exploring Operation: 86-16=70, Resulting Numbers: [30, 70]
Generated Node #3: [30, 70] from Operation: 86-16=70
Current State: 40:[30, 70], Operations: ['50-20=30', '86-16=70']
Exploring Operation: 70-30=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[50, 20, 16, 86], Operations: []
Exploring Operation: 86-50=36, Resulting Numbers: [20, 16, 36]
Generated Node #0,0: 40:[20, 16, 36] Operation: 86-50=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[20, 16, 36], Operations: ['86-50=36']
Exploring Operation: 36-16=20, Resulting Numbers: [20, 20]
Generated Node #0,0,0: 40:[20, 20] Operation: 36-16=20
Moving to Node #0,0,0
Current State: 40:[20, 20], Operations: ['86-50=36', '36-16=20']
Exploring Operation: 20+20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[50, 20, 16, 86], Operations: []
Exploring Operation: 86-50=36, Resulting Numbers: [20, 16, 36]
Generated Node #0,0: 40:[20, 16, 36] Operation: 86-50=36
Moving to Node #0,0
Current State: 40:[20, 16, 36], Operations: ['86-50=36']
Exploring Operation: 36-16=20, Resulting Numbers: [20, 20]
Generated Node #0,0,0: 40:[20, 20] Operation: 36-16=20
Moving to Node #0,0,0
Current State: 40:[20, 20], Operations: ['86-50=36', '36-16=20']
Exploring Operation: 20+20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
11,
63,
88,
85
] | 14 | [
"88/11=8",
"85-63=22",
"22-8=14"
] | Current State: 14:[11, 63, 88, 85], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [63, 85, 8]
Generated Node #2: [63, 85, 8] from Operation: 88/11=8
Current State: 14:[63, 85, 8], Operations: ['88/11=8']
Exploring Operation: 85-63=22, Resulting Numbers: [8, 22]
Generated Node #3: [8, 22] from Operation: 85-63=22
Current State: 14:[8, 22], Operations: ['88/11=8', '85-63=22']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[11, 63, 88, 85], Operations: []
Exploring Operation: 88-85=3, Resulting Numbers: [11, 63, 3]
Generated Node #0,0: 14:[11, 63, 3] Operation: 88-85=3
Exploring Operation: 88-63=25, Resulting Numbers: [11, 85, 25]
Generated Node #0,1: 14:[11, 85, 25] Operation: 88-63=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[11, 63, 3], Operations: ['88-85=3']
Exploring Operation: 63/3=21, Resulting Numbers: [11, 21]
Generated Node #0,0,0: 14:[11, 21] Operation: 63/3=21
Exploring Operation: 63-11=52, Resulting Numbers: [3, 52]
Generated Node #0,0,1: 14:[3, 52] Operation: 63-11=52
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 14:[11, 21], Operations: ['88-85=3', '63/3=21']
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,14 unequal: No Solution
Exploring Operation: 11+21=32, Resulting Numbers: [32]
32,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 14:[3, 52], Operations: ['88-85=3', '63-11=52']
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,14 unequal: No Solution
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,14 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: 14:[11, 85, 25], Operations: ['88-63=25']
Exploring Operation: 85-25=60, Resulting Numbers: [11, 60]
Generated Node #0,1,0: 14:[11, 60] Operation: 85-25=60
Exploring Operation: 85-11=74, Resulting Numbers: [25, 74]
Generated Node #0,1,1: 14:[25, 74] Operation: 85-11=74
Moving to Node #0,1,0
Current State: 14:[11, 60], Operations: ['88-63=25', '85-25=60']
Exploring Operation: 11+60=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 60-11=49, Resulting Numbers: [49]
49,14 unequal: No Solution
Moving to Node #0,1,1
Current State: 14:[25, 74], Operations: ['88-63=25', '85-11=74']
Exploring Operation: 25+74=99, Resulting Numbers: [99]
99,14 unequal: No Solution
Exploring Operation: 74-25=49, Resulting Numbers: [49]
49,14 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 |
[
52,
31,
80,
28
] | 60 | [
"52-31=21",
"80*21=1680",
"1680/28=60"
] | Current State: 60:[52, 31, 80, 28], Operations: []
Exploring Operation: 52-31=21, Resulting Numbers: [80, 28, 21]
Generated Node #2: [80, 28, 21] from Operation: 52-31=21
Current State: 60:[80, 28, 21], Operations: ['52-31=21']
Exploring Operation: 80*21=1680, Resulting Numbers: [28, 1680]
Generated Node #3: [28, 1680] from Operation: 80*21=1680
Current State: 60:[28, 1680], Operations: ['52-31=21', '80*21=1680']
Exploring Operation: 1680/28=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[52, 31, 80, 28], Operations: []
Exploring Operation: 80-52=28, Resulting Numbers: [31, 28, 28]
Generated Node #0,0: 60:[31, 28, 28] Operation: 80-52=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[31, 28, 28], Operations: ['80-52=28']
Exploring Operation: 31-28=3, Resulting Numbers: [28, 3]
Generated Node #0,0,0: 60:[28, 3] Operation: 31-28=3
Moving to Node #0,0,0
Current State: 60:[28, 3], Operations: ['80-52=28', '31-28=3']
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,60 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 |
[
77,
61,
25,
90
] | 81 | [
"77-61=16",
"90-25=65",
"16+65=81"
] | Current State: 81:[77, 61, 25, 90], Operations: []
Exploring Operation: 77-61=16, Resulting Numbers: [25, 90, 16]
Generated Node #2: [25, 90, 16] from Operation: 77-61=16
Current State: 81:[25, 90, 16], Operations: ['77-61=16']
Exploring Operation: 90-25=65, Resulting Numbers: [16, 65]
Generated Node #3: [16, 65] from Operation: 90-25=65
Current State: 81:[16, 65], Operations: ['77-61=16', '90-25=65']
Exploring Operation: 16+65=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[77, 61, 25, 90], Operations: []
Exploring Operation: 61+25=86, Resulting Numbers: [77, 90, 86]
Generated Node #0,0: 81:[77, 90, 86] Operation: 61+25=86
Exploring Operation: 90-61=29, Resulting Numbers: [77, 25, 29]
Generated Node #0,1: 81:[77, 25, 29] Operation: 90-61=29
Exploring Operation: 77-61=16, Resulting Numbers: [25, 90, 16]
Generated Node #0,2: 81:[25, 90, 16] Operation: 77-61=16
Moving to Node #0,1
Current State: 81:[77, 25, 29], Operations: ['90-61=29']
Exploring Operation: 77+25=102, Resulting Numbers: [29, 102]
Generated Node #0,1,0: 81:[29, 102] Operation: 77+25=102
Exploring Operation: 77-29=48, Resulting Numbers: [25, 48]
Generated Node #0,1,1: 81:[25, 48] Operation: 77-29=48
Exploring Operation: 29-25=4, Resulting Numbers: [77, 4]
Generated Node #0,1,2: 81:[77, 4] Operation: 29-25=4
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 81:[77, 4], Operations: ['90-61=29', '29-25=4']
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,81 unequal: No Solution
Exploring Operation: 77*4=308, Resulting Numbers: [308]
308,81 unequal: No Solution
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[77, 61, 25, 90], Operations: []
Exploring Operation: 90-61=29, Resulting Numbers: [77, 25, 29]
Generated Node #0,1: 81:[77, 25, 29] Operation: 90-61=29
Moving to Node #0,1
Current State: 81:[77, 25, 29], Operations: ['90-61=29']
Exploring Operation: 29-25=4, Resulting Numbers: [77, 4]
Generated Node #0,1,2: 81:[77, 4] Operation: 29-25=4
Moving to Node #0,1,2
Current State: 81:[77, 4], Operations: ['90-61=29', '29-25=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
81,
95,
70,
68
] | 67 | [
"95-68=27",
"81/27=3",
"70-3=67"
] | Current State: 67:[81, 95, 70, 68], Operations: []
Exploring Operation: 95-68=27, Resulting Numbers: [81, 70, 27]
Generated Node #2: [81, 70, 27] from Operation: 95-68=27
Current State: 67:[81, 70, 27], Operations: ['95-68=27']
Exploring Operation: 81/27=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 81/27=3
Current State: 67:[70, 3], Operations: ['95-68=27', '81/27=3']
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[81, 95, 70, 68], Operations: []
Exploring Operation: 95-70=25, Resulting Numbers: [81, 68, 25]
Generated Node #0,0: 67:[81, 68, 25] Operation: 95-70=25
Exploring Operation: 95-81=14, Resulting Numbers: [70, 68, 14]
Generated Node #0,1: 67:[70, 68, 14] Operation: 95-81=14
Exploring Operation: 81-70=11, Resulting Numbers: [95, 68, 11]
Generated Node #0,2: 67:[95, 68, 11] Operation: 81-70=11
Exploring Operation: 95-68=27, Resulting Numbers: [81, 70, 27]
Generated Node #0,3: 67:[81, 70, 27] Operation: 95-68=27
Moving to Node #0,0
Current State: 67:[81, 68, 25], Operations: ['95-70=25']
Exploring Operation: 81+25=106, Resulting Numbers: [68, 106]
Generated Node #0,0,0: 67:[68, 106] Operation: 81+25=106
Exploring Operation: 81-25=56, Resulting Numbers: [68, 56]
Generated Node #0,0,1: 67:[68, 56] Operation: 81-25=56
Exploring Operation: 68+25=93, Resulting Numbers: [81, 93]
Generated Node #0,0,2: 67:[81, 93] Operation: 68+25=93
Exploring Operation: 68-25=43, Resulting Numbers: [81, 43]
Generated Node #0,0,3: 67:[81, 43] Operation: 68-25=43
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 67:[68, 56], Operations: ['95-70=25', '81-25=56']
Exploring Operation: 68+56=124, Resulting Numbers: [124]
124,67 unequal: No Solution
Exploring Operation: 68*56=3808, Resulting Numbers: [3808]
3808,67 unequal: No Solution
Exploring Operation: 68-56=12, Resulting Numbers: [12]
12,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 67:[81, 43], Operations: ['95-70=25', '68-25=43']
Exploring Operation: 81+43=124, Resulting Numbers: [124]
124,67 unequal: No Solution
Exploring Operation: 81-43=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Exploring Operation: 81*43=3483, Resulting Numbers: [3483]
3483,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[68, 106], Operations: ['95-70=25', '81+25=106']
Exploring Operation: 68+106=174, Resulting Numbers: [174]
174,67 unequal: No Solution
Exploring Operation: 68*106=7208, Resulting Numbers: [7208]
7208,67 unequal: No Solution
Exploring Operation: 106-68=38, Resulting Numbers: [38]
38,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 67:[81, 93], Operations: ['95-70=25', '68+25=93']
Exploring Operation: 93-81=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Exploring Operation: 81+93=174, Resulting Numbers: [174]
174,67 unequal: No Solution
Exploring Operation: 81*93=7533, Resulting Numbers: [7533]
7533,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 67:[81, 70, 27], Operations: ['95-68=27']
Exploring Operation: 70-27=43, Resulting Numbers: [81, 43]
Generated Node #0,3,0: 67:[81, 43] Operation: 70-27=43
Exploring Operation: 81-27=54, Resulting Numbers: [70, 54]
Generated Node #0,3,1: 67:[70, 54] Operation: 81-27=54
Exploring Operation: 70+27=97, Resulting Numbers: [81, 97]
Generated Node #0,3,2: 67:[81, 97] Operation: 70+27=97
Exploring Operation: 81+27=108, Resulting Numbers: [70, 108]
Generated Node #0,3,3: 67:[70, 108] Operation: 81+27=108
Moving to Node #0,1
Current State: 67:[70, 68, 14], Operations: ['95-81=14']
Exploring Operation: 70-14=56, Resulting Numbers: [68, 56]
Generated Node #0,1,0: 67:[68, 56] Operation: 70-14=56
Exploring Operation: 70+14=84, Resulting Numbers: [68, 84]
Generated Node #0,1,1: 67:[68, 84] Operation: 70+14=84
Exploring Operation: 68+14=82, Resulting Numbers: [70, 82]
Generated Node #0,1,2: 67:[70, 82] Operation: 68+14=82
Exploring Operation: 68-14=54, Resulting Numbers: [70, 54]
Generated Node #0,1,3: 67:[70, 54] Operation: 68-14=54
Moving to Node #0,2
Current State: 67:[95, 68, 11], Operations: ['81-70=11']
Exploring Operation: 68+11=79, Resulting Numbers: [95, 79]
Generated Node #0,2,0: 67:[95, 79] Operation: 68+11=79
Exploring Operation: 95-11=84, Resulting Numbers: [68, 84]
Generated Node #0,2,1: 67:[68, 84] Operation: 95-11=84
Exploring Operation: 68-11=57, Resulting Numbers: [95, 57]
Generated Node #0,2,2: 67:[95, 57] Operation: 68-11=57
Exploring Operation: 95+11=106, Resulting Numbers: [68, 106]
Generated Node #0,2,3: 67:[68, 106] Operation: 95+11=106
Moving to Node #0,1,0
Current State: 67:[68, 56], Operations: ['95-81=14', '70-14=56']
Exploring Operation: 68+56=124, Resulting Numbers: [124]
124,67 unequal: No Solution
Exploring Operation: 68*56=3808, Resulting Numbers: [3808]
3808,67 unequal: No Solution
Exploring Operation: 68-56=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Moving to Node #0,1,3
Current State: 67:[70, 54], Operations: ['95-81=14', '68-14=54']
Exploring Operation: 70+54=124, Resulting Numbers: [124]
124,67 unequal: No Solution
Exploring Operation: 70-54=16, Resulting Numbers: [16]
16,67 unequal: No Solution
Exploring Operation: 70*54=3780, Resulting Numbers: [3780]
3780,67 unequal: No Solution
Moving to Node #0,3,1
Current State: 67:[70, 54], Operations: ['95-68=27', '81-27=54']
Exploring Operation: 70+54=124, Resulting Numbers: [124]
124,67 unequal: No Solution
Exploring Operation: 70-54=16, Resulting Numbers: [16]
16,67 unequal: No Solution
Exploring Operation: 70*54=3780, Resulting Numbers: [3780]
3780,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[68, 84], Operations: ['95-81=14', '70+14=84']
Exploring Operation: 68+84=152, Resulting Numbers: [152]
152,67 unequal: No Solution
Exploring Operation: 68*84=5712, Resulting Numbers: [5712]
5712,67 unequal: No Solution
Exploring Operation: 84-68=16, Resulting Numbers: [16]
16,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[70, 82], Operations: ['95-81=14', '68+14=82']
Exploring Operation: 82-70=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Exploring Operation: 70+82=152, Resulting Numbers: [152]
152,67 unequal: No Solution
Exploring Operation: 70*82=5740, Resulting Numbers: [5740]
5740,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[68, 84], Operations: ['81-70=11', '95-11=84']
Exploring Operation: 84-68=16, Resulting Numbers: [16]
16,67 unequal: No Solution
Exploring Operation: 68+84=152, Resulting Numbers: [152]
152,67 unequal: No Solution
Exploring Operation: 68*84=5712, Resulting Numbers: [5712]
5712,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[95, 57], Operations: ['81-70=11', '68-11=57']
Exploring Operation: 95*57=5415, Resulting Numbers: [5415]
5415,67 unequal: No Solution
Exploring Operation: 95+57=152, Resulting Numbers: [152]
152,67 unequal: No Solution
Exploring Operation: 95-57=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Moving to Node #0,3,0
Current State: 67:[81, 43], Operations: ['95-68=27', '70-27=43']
Exploring Operation: 81+43=124, Resulting Numbers: [124]
124,67 unequal: No Solution
Exploring Operation: 81*43=3483, Resulting Numbers: [3483]
3483,67 unequal: No Solution
Exploring Operation: 81-43=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Moving to Node #0,2,3
Current State: 67:[68, 106], Operations: ['81-70=11', '95+11=106']
Exploring Operation: 106-68=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Exploring Operation: 68+106=174, Resulting Numbers: [174]
174,67 unequal: No Solution
Exploring Operation: 68*106=7208, Resulting Numbers: [7208]
7208,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[95, 79], Operations: ['81-70=11', '68+11=79']
Exploring Operation: 95+79=174, Resulting Numbers: [174]
174,67 unequal: No Solution
Exploring Operation: 95-79=16, Resulting Numbers: [16]
16,67 unequal: No Solution
Exploring Operation: 95*79=7505, Resulting Numbers: [7505]
7505,67 unequal: No Solution
Moving to Node #0,3,2
Current State: 67:[81, 97], Operations: ['95-68=27', '70+27=97']
Exploring Operation: 81+97=178, Resulting Numbers: [178]
178,67 unequal: No Solution
Exploring Operation: 81*97=7857, Resulting Numbers: [7857]
7857,67 unequal: No Solution
Exploring Operation: 97-81=16, Resulting Numbers: [16]
16,67 unequal: No Solution
Moving to Node #0,3,3
Current State: 67:[70, 108], Operations: ['95-68=27', '81+27=108']
Exploring Operation: 70*108=7560, Resulting Numbers: [7560]
7560,67 unequal: No Solution
Exploring Operation: 70+108=178, Resulting Numbers: [178]
178,67 unequal: No Solution
Exploring Operation: 108-70=38, Resulting Numbers: [38]
38,67 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
24,
72,
49,
68
] | 21 | [
"24+72=96",
"49+68=117",
"117-96=21"
] | Current State: 21:[24, 72, 49, 68], Operations: []
Exploring Operation: 24+72=96, Resulting Numbers: [49, 68, 96]
Generated Node #2: [49, 68, 96] from Operation: 24+72=96
Current State: 21:[49, 68, 96], Operations: ['24+72=96']
Exploring Operation: 49+68=117, Resulting Numbers: [96, 117]
Generated Node #3: [96, 117] from Operation: 49+68=117
Current State: 21:[96, 117], Operations: ['24+72=96', '49+68=117']
Exploring Operation: 117-96=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[24, 72, 49, 68], Operations: []
Exploring Operation: 68-49=19, Resulting Numbers: [24, 72, 19]
Generated Node #0,0: 21:[24, 72, 19] Operation: 68-49=19
Exploring Operation: 72-49=23, Resulting Numbers: [24, 68, 23]
Generated Node #0,1: 21:[24, 68, 23] Operation: 72-49=23
Exploring Operation: 72-68=4, Resulting Numbers: [24, 49, 4]
Generated Node #0,2: 21:[24, 49, 4] Operation: 72-68=4
Start Sub Search at level 1: Moving to Node #0,2
Current State: 21:[24, 49, 4], Operations: ['72-68=4']
Exploring Operation: 24-4=20, Resulting Numbers: [49, 20]
Generated Node #0,2,0: 21:[49, 20] Operation: 24-4=20
Exploring Operation: 49-4=45, Resulting Numbers: [24, 45]
Generated Node #0,2,1: 21:[24, 45] Operation: 49-4=45
Exploring Operation: 49-24=25, Resulting Numbers: [4, 25]
Generated Node #0,2,2: 21:[4, 25] Operation: 49-24=25
Moving to Node #0,2,2
Current State: 21:[4, 25], Operations: ['72-68=4', '49-24=25']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[24, 72, 49, 68], Operations: []
Exploring Operation: 72-68=4, Resulting Numbers: [24, 49, 4]
Generated Node #0,2: 21:[24, 49, 4] Operation: 72-68=4
Moving to Node #0,2
Current State: 21:[24, 49, 4], Operations: ['72-68=4']
Exploring Operation: 49-24=25, Resulting Numbers: [4, 25]
Generated Node #0,2,2: 21:[4, 25] Operation: 49-24=25
Moving to Node #0,2,2
Current State: 21:[4, 25], Operations: ['72-68=4', '49-24=25']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
33,
7,
90,
33
] | 96 | [
"33/33=1",
"7+90=97",
"97-1=96"
] | Current State: 96:[33, 7, 90, 33], Operations: []
Exploring Operation: 33/33=1, Resulting Numbers: [7, 90, 1]
Generated Node #2: [7, 90, 1] from Operation: 33/33=1
Current State: 96:[7, 90, 1], Operations: ['33/33=1']
Exploring Operation: 7+90=97, Resulting Numbers: [1, 97]
Generated Node #3: [1, 97] from Operation: 7+90=97
Current State: 96:[1, 97], Operations: ['33/33=1', '7+90=97']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[33, 7, 90, 33], Operations: []
Exploring Operation: 7+90=97, Resulting Numbers: [33, 33, 97]
Generated Node #0,0: 96:[33, 33, 97] Operation: 7+90=97
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[33, 33, 97], Operations: ['7+90=97']
Exploring Operation: 33/33=1, Resulting Numbers: [97, 1]
Generated Node #0,0,0: 96:[97, 1] Operation: 33/33=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[97, 1], Operations: ['7+90=97', '33/33=1']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[33, 7, 90, 33], Operations: []
Exploring Operation: 7+90=97, Resulting Numbers: [33, 33, 97]
Generated Node #0,0: 96:[33, 33, 97] Operation: 7+90=97
Moving to Node #0,0
Current State: 96:[33, 33, 97], Operations: ['7+90=97']
Exploring Operation: 33/33=1, Resulting Numbers: [97, 1]
Generated Node #0,0,0: 96:[97, 1] Operation: 33/33=1
Moving to Node #0,0,0
Current State: 96:[97, 1], Operations: ['7+90=97', '33/33=1']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
42,
87,
46,
11
] | 95 | [
"42+46=88",
"88/11=8",
"87+8=95"
] | Current State: 95:[42, 87, 46, 11], Operations: []
Exploring Operation: 42+46=88, Resulting Numbers: [87, 11, 88]
Generated Node #2: [87, 11, 88] from Operation: 42+46=88
Current State: 95:[87, 11, 88], Operations: ['42+46=88']
Exploring Operation: 88/11=8, Resulting Numbers: [87, 8]
Generated Node #3: [87, 8] from Operation: 88/11=8
Current State: 95:[87, 8], Operations: ['42+46=88', '88/11=8']
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[42, 87, 46, 11], Operations: []
Exploring Operation: 42+46=88, Resulting Numbers: [87, 11, 88]
Generated Node #0,0: 95:[87, 11, 88] Operation: 42+46=88
Exploring Operation: 46-42=4, Resulting Numbers: [87, 11, 4]
Generated Node #0,1: 95:[87, 11, 4] Operation: 46-42=4
Exploring Operation: 42-11=31, Resulting Numbers: [87, 46, 31]
Generated Node #0,2: 95:[87, 46, 31] Operation: 42-11=31
Moving to Node #0,1
Current State: 95:[87, 11, 4], Operations: ['46-42=4']
Exploring Operation: 87+11=98, Resulting Numbers: [4, 98]
Generated Node #0,1,0: 95:[4, 98] Operation: 87+11=98
Exploring Operation: 87+4=91, Resulting Numbers: [11, 91]
Generated Node #0,1,1: 95:[11, 91] Operation: 87+4=91
Exploring Operation: 11-4=7, Resulting Numbers: [87, 7]
Generated Node #0,1,2: 95:[87, 7] Operation: 11-4=7
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[4, 98], Operations: ['46-42=4', '87+11=98']
Exploring Operation: 4+98=102, Resulting Numbers: [102]
102,95 unequal: No Solution
Exploring Operation: 4*98=392, Resulting Numbers: [392]
392,95 unequal: No Solution
Exploring Operation: 98-4=94, Resulting Numbers: [94]
94,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 95:[11, 91], Operations: ['46-42=4', '87+4=91']
Exploring Operation: 11*91=1001, Resulting Numbers: [1001]
1001,95 unequal: No Solution
Exploring Operation: 91-11=80, Resulting Numbers: [80]
80,95 unequal: No Solution
Exploring Operation: 11+91=102, Resulting Numbers: [102]
102,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 95:[87, 7], Operations: ['46-42=4', '11-4=7']
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,95 unequal: No Solution
Exploring Operation: 87+7=94, Resulting Numbers: [94]
94,95 unequal: No Solution
Exploring Operation: 87*7=609, Resulting Numbers: [609]
609,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 95:[87, 11, 88], Operations: ['42+46=88']
Exploring Operation: 87+11=98, Resulting Numbers: [88, 98]
Generated Node #0,0,0: 95:[88, 98] Operation: 87+11=98
Exploring Operation: 88-87=1, Resulting Numbers: [11, 1]
Generated Node #0,0,1: 95:[11, 1] Operation: 88-87=1
Exploring Operation: 88/11=8, Resulting Numbers: [87, 8]
Generated Node #0,0,2: 95:[87, 8] Operation: 88/11=8
Moving to Node #0,2
Current State: 95:[87, 46, 31], Operations: ['42-11=31']
Exploring Operation: 87-46=41, Resulting Numbers: [31, 41]
Generated Node #0,2,0: 95:[31, 41] Operation: 87-46=41
Exploring Operation: 46-31=15, Resulting Numbers: [87, 15]
Generated Node #0,2,1: 95:[87, 15] Operation: 46-31=15
Exploring Operation: 46+31=77, Resulting Numbers: [87, 77]
Generated Node #0,2,2: 95:[87, 77] Operation: 46+31=77
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 95:[87, 15], Operations: ['42-11=31', '46-31=15']
Exploring Operation: 87+15=102, Resulting Numbers: [102]
102,95 unequal: No Solution
Exploring Operation: 87*15=1305, Resulting Numbers: [1305]
1305,95 unequal: No Solution
Exploring Operation: 87-15=72, Resulting Numbers: [72]
72,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 95:[87, 77], Operations: ['42-11=31', '46+31=77']
Exploring Operation: 87-77=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 87+77=164, Resulting Numbers: [164]
164,95 unequal: No Solution
Exploring Operation: 87*77=6699, Resulting Numbers: [6699]
6699,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 95:[31, 41], Operations: ['42-11=31', '87-46=41']
Exploring Operation: 31+41=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 31*41=1271, Resulting Numbers: [1271]
1271,95 unequal: No Solution
Exploring Operation: 41-31=10, Resulting Numbers: [10]
10,95 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: 95:[88, 98], Operations: ['42+46=88', '87+11=98']
Exploring Operation: 88*98=8624, Resulting Numbers: [8624]
8624,95 unequal: No Solution
Exploring Operation: 98-88=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 88+98=186, Resulting Numbers: [186]
186,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[11, 1], Operations: ['42+46=88', '88-87=1']
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Moving to Node #0,0,2
Current State: 95:[87, 8], Operations: ['42+46=88', '88/11=8']
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,95 unequal: No Solution
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[42, 87, 46, 11], Operations: []
Exploring Operation: 42+46=88, Resulting Numbers: [87, 11, 88]
Generated Node #0,0: 95:[87, 11, 88] Operation: 42+46=88
Moving to Node #0,0
Current State: 95:[87, 11, 88], Operations: ['42+46=88']
Exploring Operation: 88/11=8, Resulting Numbers: [87, 8]
Generated Node #0,0,2: 95:[87, 8] Operation: 88/11=8
Moving to Node #0,0,2
Current State: 95:[87, 8], Operations: ['42+46=88', '88/11=8']
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 0.963542 | hs_3 | mult_heuristic |
[
82,
4,
18,
85
] | 30 | [
"85-82=3",
"4*3=12",
"18+12=30"
] | Current State: 30:[82, 4, 18, 85], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [4, 18, 3]
Generated Node #2: [4, 18, 3] from Operation: 85-82=3
Current State: 30:[4, 18, 3], Operations: ['85-82=3']
Exploring Operation: 4*3=12, Resulting Numbers: [18, 12]
Generated Node #3: [18, 12] from Operation: 4*3=12
Current State: 30:[18, 12], Operations: ['85-82=3', '4*3=12']
Exploring Operation: 18+12=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[82, 4, 18, 85], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [4, 18, 3]
Generated Node #0,0: 30:[4, 18, 3] Operation: 85-82=3
Exploring Operation: 82-18=64, Resulting Numbers: [4, 85, 64]
Generated Node #0,1: 30:[4, 85, 64] Operation: 82-18=64
Moving to Node #0,0
Current State: 30:[4, 18, 3], Operations: ['85-82=3']
Exploring Operation: 18-3=15, Resulting Numbers: [4, 15]
Generated Node #0,0,0: 30:[4, 15] Operation: 18-3=15
Exploring Operation: 18-4=14, Resulting Numbers: [3, 14]
Generated Node #0,0,1: 30:[3, 14] Operation: 18-4=14
Moving to Node #0,1
Current State: 30:[4, 85, 64], Operations: ['82-18=64']
Exploring Operation: 85-64=21, Resulting Numbers: [4, 21]
Generated Node #0,1,0: 30:[4, 21] Operation: 85-64=21
Exploring Operation: 64/4=16, Resulting Numbers: [85, 16]
Generated Node #0,1,1: 30:[85, 16] Operation: 64/4=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 30:[4, 21], Operations: ['82-18=64', '85-64=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 30:[85, 16], Operations: ['82-18=64', '64/4=16']
Exploring Operation: 85-16=69, Resulting Numbers: [69]
69,30 unequal: No Solution
Exploring Operation: 85+16=101, Resulting Numbers: [101]
101,30 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: 30:[4, 15], Operations: ['85-82=3', '18-3=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[3, 14], Operations: ['85-82=3', '18-4=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,30 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
89,
74,
14,
88
] | 61 | [
"89+74=163",
"14+88=102",
"163-102=61"
] | Current State: 61:[89, 74, 14, 88], Operations: []
Exploring Operation: 89+74=163, Resulting Numbers: [14, 88, 163]
Generated Node #2: [14, 88, 163] from Operation: 89+74=163
Current State: 61:[14, 88, 163], Operations: ['89+74=163']
Exploring Operation: 14+88=102, Resulting Numbers: [163, 102]
Generated Node #3: [163, 102] from Operation: 14+88=102
Current State: 61:[163, 102], Operations: ['89+74=163', '14+88=102']
Exploring Operation: 163-102=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[89, 74, 14, 88], Operations: []
Exploring Operation: 89+14=103, Resulting Numbers: [74, 88, 103]
Generated Node #0,0: 61:[74, 88, 103] Operation: 89+14=103
Exploring Operation: 88-14=74, Resulting Numbers: [89, 74, 74]
Generated Node #0,1: 61:[89, 74, 74] Operation: 88-14=74
Exploring Operation: 74-14=60, Resulting Numbers: [89, 88, 60]
Generated Node #0,2: 61:[89, 88, 60] Operation: 74-14=60
Exploring Operation: 89-14=75, Resulting Numbers: [74, 88, 75]
Generated Node #0,3: 61:[74, 88, 75] Operation: 89-14=75
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[89, 74, 74], Operations: ['88-14=74']
Exploring Operation: 74-74=0, Resulting Numbers: [89, 0]
Generated Node #0,1,0: 61:[89, 0] Operation: 74-74=0
Exploring Operation: 89-74=15, Resulting Numbers: [74, 15]
Generated Node #0,1,1: 61:[74, 15] Operation: 89-74=15
Exploring Operation: 74/74=1, Resulting Numbers: [89, 1]
Generated Node #0,1,2: 61:[89, 1] Operation: 74/74=1
Exploring Operation: 89-74=15, Resulting Numbers: [74, 15]
Generated Node #0,1,3: 61:[74, 15] Operation: 89-74=15
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 61:[74, 15], Operations: ['88-14=74', '89-74=15']
Exploring Operation: 74+15=89, Resulting Numbers: [89]
89,61 unequal: No Solution
Exploring Operation: 74*15=1110, Resulting Numbers: [1110]
1110,61 unequal: No Solution
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 61:[74, 15], Operations: ['88-14=74', '89-74=15']
Exploring Operation: 74*15=1110, Resulting Numbers: [1110]
1110,61 unequal: No Solution
Exploring Operation: 74+15=89, Resulting Numbers: [89]
89,61 unequal: No Solution
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 61:[89, 1], Operations: ['88-14=74', '74/74=1']
Exploring Operation: 89+1=90, Resulting Numbers: [90]
90,61 unequal: No Solution
Exploring Operation: 89*1=89, Resulting Numbers: [89]
89,61 unequal: No Solution
Exploring Operation: 89/1=89, Resulting Numbers: [89]
89,61 unequal: No Solution
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 61:[89, 0], Operations: ['88-14=74', '74-74=0']
Exploring Operation: 89-0=89, Resulting Numbers: [89]
89,61 unequal: No Solution
Exploring Operation: 89*0=0, Resulting Numbers: [0]
0,61 unequal: No Solution
Exploring Operation: 89+0=89, Resulting Numbers: [89]
89,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 61:[74, 88, 75], Operations: ['89-14=75']
Exploring Operation: 74+88=162, Resulting Numbers: [75, 162]
Generated Node #0,3,0: 61:[75, 162] Operation: 74+88=162
Exploring Operation: 88-74=14, Resulting Numbers: [75, 14]
Generated Node #0,3,1: 61:[75, 14] Operation: 88-74=14
Exploring Operation: 75-74=1, Resulting Numbers: [88, 1]
Generated Node #0,3,2: 61:[88, 1] Operation: 75-74=1
Exploring Operation: 88-75=13, Resulting Numbers: [74, 13]
Generated Node #0,3,3: 61:[74, 13] Operation: 88-75=13
Moving to Node #0,3,1
Current State: 61:[75, 14], Operations: ['89-14=75', '88-74=14']
Exploring Operation: 75+14=89, Resulting Numbers: [89]
89,61 unequal: No Solution
Exploring Operation: 75*14=1050, Resulting Numbers: [1050]
1050,61 unequal: No Solution
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[89, 74, 14, 88], Operations: []
Exploring Operation: 89-14=75, Resulting Numbers: [74, 88, 75]
Generated Node #0,3: 61:[74, 88, 75] Operation: 89-14=75
Moving to Node #0,3
Current State: 61:[74, 88, 75], Operations: ['89-14=75']
Exploring Operation: 88-74=14, Resulting Numbers: [75, 14]
Generated Node #0,3,1: 61:[75, 14] Operation: 88-74=14
Moving to Node #0,3,1
Current State: 61:[75, 14], Operations: ['89-14=75', '88-74=14']
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 | hs_4 | mult_heuristic |
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