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 |
|---|---|---|---|---|---|---|---|---|
[
48,
42,
7,
22
] | 35 | [
"48-42=6",
"7+22=29",
"6+29=35"
] | Current State: 35:[48, 42, 7, 22], Operations: []
Exploring Operation: 48-42=6, Resulting Numbers: [7, 22, 6]
Generated Node #2: [7, 22, 6] from Operation: 48-42=6
Current State: 35:[7, 22, 6], Operations: ['48-42=6']
Exploring Operation: 7+22=29, Resulting Numbers: [6, 29]
Generated Node #3: [6, 29] from Operation: 7+22=29
Current State: 35:[6, 29], Operations: ['48-42=6', '7+22=29']
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[48, 42, 7, 22], Operations: []
Exploring Operation: 48-42=6, Resulting Numbers: [7, 22, 6]
Generated Node #0,0: 35:[7, 22, 6] Operation: 48-42=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[7, 22, 6], Operations: ['48-42=6']
Exploring Operation: 7+22=29, Resulting Numbers: [6, 29]
Generated Node #0,0,0: 35:[6, 29] Operation: 7+22=29
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 35:[6, 29], Operations: ['48-42=6', '7+22=29']
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[48, 42, 7, 22], Operations: []
Exploring Operation: 48-42=6, Resulting Numbers: [7, 22, 6]
Generated Node #0,0: 35:[7, 22, 6] Operation: 48-42=6
Moving to Node #0,0
Current State: 35:[7, 22, 6], Operations: ['48-42=6']
Exploring Operation: 7+22=29, Resulting Numbers: [6, 29]
Generated Node #0,0,0: 35:[6, 29] Operation: 7+22=29
Moving to Node #0,0,0
Current State: 35:[6, 29], Operations: ['48-42=6', '7+22=29']
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
5,
82,
73,
41
] | 86 | [
"82-73=9",
"5*9=45",
"41+45=86"
] | Current State: 86:[5, 82, 73, 41], Operations: []
Exploring Operation: 82-73=9, Resulting Numbers: [5, 41, 9]
Generated Node #2: [5, 41, 9] from Operation: 82-73=9
Current State: 86:[5, 41, 9], Operations: ['82-73=9']
Exploring Operation: 5*9=45, Resulting Numbers: [41, 45]
Generated Node #3: [41, 45] from Operation: 5*9=45
Current State: 86:[41, 45], Operations: ['82-73=9', '5*9=45']
Exploring Operation: 41+45=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[5, 82, 73, 41], Operations: []
Exploring Operation: 5+82=87, Resulting Numbers: [73, 41, 87]
Generated Node #0,0: 86:[73, 41, 87] Operation: 5+82=87
Exploring Operation: 82-73=9, Resulting Numbers: [5, 41, 9]
Generated Node #0,1: 86:[5, 41, 9] Operation: 82-73=9
Exploring Operation: 5+73=78, Resulting Numbers: [82, 41, 78]
Generated Node #0,2: 86:[82, 41, 78] Operation: 5+73=78
Exploring Operation: 82/41=2, Resulting Numbers: [5, 73, 2]
Generated Node #0,3: 86:[5, 73, 2] Operation: 82/41=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[5, 41, 9], Operations: ['82-73=9']
Exploring Operation: 5*9=45, Resulting Numbers: [41, 45]
Generated Node #0,1,0: 86:[41, 45] Operation: 5*9=45
Exploring Operation: 5+41=46, Resulting Numbers: [9, 46]
Generated Node #0,1,1: 86:[9, 46] Operation: 5+41=46
Exploring Operation: 41+9=50, Resulting Numbers: [5, 50]
Generated Node #0,1,2: 86:[5, 50] Operation: 41+9=50
Exploring Operation: 9-5=4, Resulting Numbers: [41, 4]
Generated Node #0,1,3: 86:[41, 4] Operation: 9-5=4
Moving to Node #0,1,0
Current State: 86:[41, 45], Operations: ['82-73=9', '5*9=45']
Exploring Operation: 41+45=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[5, 82, 73, 41], Operations: []
Exploring Operation: 82-73=9, Resulting Numbers: [5, 41, 9]
Generated Node #0,1: 86:[5, 41, 9] Operation: 82-73=9
Moving to Node #0,1
Current State: 86:[5, 41, 9], Operations: ['82-73=9']
Exploring Operation: 5*9=45, Resulting Numbers: [41, 45]
Generated Node #0,1,0: 86:[41, 45] Operation: 5*9=45
Moving to Node #0,1,0
Current State: 86:[41, 45], Operations: ['82-73=9', '5*9=45']
Exploring Operation: 41+45=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
28,
70,
46,
8
] | 25 | [
"70-46=24",
"24/8=3",
"28-3=25"
] | Current State: 25:[28, 70, 46, 8], Operations: []
Exploring Operation: 70-46=24, Resulting Numbers: [28, 8, 24]
Generated Node #2: [28, 8, 24] from Operation: 70-46=24
Current State: 25:[28, 8, 24], Operations: ['70-46=24']
Exploring Operation: 24/8=3, Resulting Numbers: [28, 3]
Generated Node #3: [28, 3] from Operation: 24/8=3
Current State: 25:[28, 3], Operations: ['70-46=24', '24/8=3']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[28, 70, 46, 8], Operations: []
Exploring Operation: 46-28=18, Resulting Numbers: [70, 8, 18]
Generated Node #0,0: 25:[70, 8, 18] Operation: 46-28=18
Exploring Operation: 70-28=42, Resulting Numbers: [46, 8, 42]
Generated Node #0,1: 25:[46, 8, 42] Operation: 70-28=42
Exploring Operation: 70-46=24, Resulting Numbers: [28, 8, 24]
Generated Node #0,2: 25:[28, 8, 24] Operation: 70-46=24
Exploring Operation: 70-8=62, Resulting Numbers: [28, 46, 62]
Generated Node #0,3: 25:[28, 46, 62] Operation: 70-8=62
Moving to Node #0,2
Current State: 25:[28, 8, 24], Operations: ['70-46=24']
Exploring Operation: 28-8=20, Resulting Numbers: [24, 20]
Generated Node #0,2,0: 25:[24, 20] Operation: 28-8=20
Exploring Operation: 28-24=4, Resulting Numbers: [8, 4]
Generated Node #0,2,1: 25:[8, 4] Operation: 28-24=4
Exploring Operation: 8+24=32, Resulting Numbers: [28, 32]
Generated Node #0,2,2: 25:[28, 32] Operation: 8+24=32
Exploring Operation: 24/8=3, Resulting Numbers: [28, 3]
Generated Node #0,2,3: 25:[28, 3] Operation: 24/8=3
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 25:[8, 4], Operations: ['70-46=24', '28-24=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,25 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 25:[28, 3], Operations: ['70-46=24', '24/8=3']
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,25 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[28, 70, 46, 8], Operations: []
Exploring Operation: 70-46=24, Resulting Numbers: [28, 8, 24]
Generated Node #0,2: 25:[28, 8, 24] Operation: 70-46=24
Moving to Node #0,2
Current State: 25:[28, 8, 24], Operations: ['70-46=24']
Exploring Operation: 24/8=3, Resulting Numbers: [28, 3]
Generated Node #0,2,3: 25:[28, 3] Operation: 24/8=3
Moving to Node #0,2,3
Current State: 25:[28, 3], Operations: ['70-46=24', '24/8=3']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | mult_heuristic |
[
95,
38,
25,
27
] | 76 | [
"27-25=2",
"38/2=19",
"95-19=76"
] | Current State: 76:[95, 38, 25, 27], Operations: []
Exploring Operation: 27-25=2, Resulting Numbers: [95, 38, 2]
Generated Node #2: [95, 38, 2] from Operation: 27-25=2
Current State: 76:[95, 38, 2], Operations: ['27-25=2']
Exploring Operation: 38/2=19, Resulting Numbers: [95, 19]
Generated Node #3: [95, 19] from Operation: 38/2=19
Current State: 76:[95, 19], Operations: ['27-25=2', '38/2=19']
Exploring Operation: 95-19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[95, 38, 25, 27], Operations: []
Exploring Operation: 95-25=70, Resulting Numbers: [38, 27, 70]
Generated Node #0,0: 76:[38, 27, 70] Operation: 95-25=70
Exploring Operation: 95-27=68, Resulting Numbers: [38, 25, 68]
Generated Node #0,1: 76:[38, 25, 68] Operation: 95-27=68
Moving to Node #0,0
Current State: 76:[38, 27, 70], Operations: ['95-25=70']
Exploring Operation: 38-27=11, Resulting Numbers: [70, 11]
Generated Node #0,0,0: 76:[70, 11] Operation: 38-27=11
Exploring Operation: 70-27=43, Resulting Numbers: [38, 43]
Generated Node #0,0,1: 76:[38, 43] Operation: 70-27=43
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 76:[38, 43], Operations: ['95-25=70', '70-27=43']
Exploring Operation: 38+43=81, Resulting Numbers: [81]
81,76 unequal: No Solution
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[70, 11], Operations: ['95-25=70', '38-27=11']
Exploring Operation: 70+11=81, Resulting Numbers: [81]
81,76 unequal: No Solution
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 76:[38, 25, 68], Operations: ['95-27=68']
Exploring Operation: 38-25=13, Resulting Numbers: [68, 13]
Generated Node #0,1,0: 76:[68, 13] Operation: 38-25=13
Exploring Operation: 68-25=43, Resulting Numbers: [38, 43]
Generated Node #0,1,1: 76:[38, 43] Operation: 68-25=43
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 76:[38, 43], Operations: ['95-27=68', '68-25=43']
Exploring Operation: 38+43=81, Resulting Numbers: [81]
81,76 unequal: No Solution
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 76:[68, 13], Operations: ['95-27=68', '38-25=13']
Exploring Operation: 68-13=55, Resulting Numbers: [55]
55,76 unequal: No Solution
Exploring Operation: 68+13=81, Resulting Numbers: [81]
81,76 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,
5,
28,
86
] | 57 | [
"59+86=145",
"145/5=29",
"28+29=57"
] | Current State: 57:[59, 5, 28, 86], Operations: []
Exploring Operation: 59+86=145, Resulting Numbers: [5, 28, 145]
Generated Node #2: [5, 28, 145] from Operation: 59+86=145
Current State: 57:[5, 28, 145], Operations: ['59+86=145']
Exploring Operation: 145/5=29, Resulting Numbers: [28, 29]
Generated Node #3: [28, 29] from Operation: 145/5=29
Current State: 57:[28, 29], Operations: ['59+86=145', '145/5=29']
Exploring Operation: 28+29=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[59, 5, 28, 86], Operations: []
Exploring Operation: 86-28=58, Resulting Numbers: [59, 5, 58]
Generated Node #0,0: 57:[59, 5, 58] Operation: 86-28=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[59, 5, 58], Operations: ['86-28=58']
Exploring Operation: 59-5=54, Resulting Numbers: [58, 54]
Generated Node #0,0,0: 57:[58, 54] Operation: 59-5=54
Moving to Node #0,0,0
Current State: 57:[58, 54], Operations: ['86-28=58', '59-5=54']
Exploring Operation: 58-54=4, Resulting Numbers: [4]
4,57 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,
39,
30,
5
] | 17 | [
"5-2=3",
"39/3=13",
"30-13=17"
] | Current State: 17:[2, 39, 30, 5], Operations: []
Exploring Operation: 5-2=3, Resulting Numbers: [39, 30, 3]
Generated Node #2: [39, 30, 3] from Operation: 5-2=3
Current State: 17:[39, 30, 3], Operations: ['5-2=3']
Exploring Operation: 39/3=13, Resulting Numbers: [30, 13]
Generated Node #3: [30, 13] from Operation: 39/3=13
Current State: 17:[30, 13], Operations: ['5-2=3', '39/3=13']
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[2, 39, 30, 5], Operations: []
Exploring Operation: 30/2=15, Resulting Numbers: [39, 5, 15]
Generated Node #0,0: 17:[39, 5, 15] Operation: 30/2=15
Exploring Operation: 39-30=9, Resulting Numbers: [2, 5, 9]
Generated Node #0,1: 17:[2, 5, 9] Operation: 39-30=9
Moving to Node #0,1
Current State: 17:[2, 5, 9], Operations: ['39-30=9']
Exploring Operation: 2*5=10, Resulting Numbers: [9, 10]
Generated Node #0,1,0: 17:[9, 10] Operation: 2*5=10
Exploring Operation: 2*9=18, Resulting Numbers: [5, 18]
Generated Node #0,1,1: 17:[5, 18] Operation: 2*9=18
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 17:[5, 18], Operations: ['39-30=9', '2*9=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,17 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,17 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 #0,1,0
Current State: 17:[9, 10], Operations: ['39-30=9', '2*5=10']
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,17 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: 17:[39, 5, 15], Operations: ['30/2=15']
Exploring Operation: 39-15=24, Resulting Numbers: [5, 24]
Generated Node #0,0,0: 17:[5, 24] Operation: 39-15=24
Exploring Operation: 39-5=34, Resulting Numbers: [15, 34]
Generated Node #0,0,1: 17:[15, 34] Operation: 39-5=34
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 17:[5, 24], Operations: ['30/2=15', '39-15=24']
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,17 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 #0,0,1
Current State: 17:[15, 34], Operations: ['30/2=15', '39-5=34']
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,17 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 |
[
15,
92,
26,
30
] | 40 | [
"30/15=2",
"26*2=52",
"92-52=40"
] | Current State: 40:[15, 92, 26, 30], Operations: []
Exploring Operation: 30/15=2, Resulting Numbers: [92, 26, 2]
Generated Node #2: [92, 26, 2] from Operation: 30/15=2
Current State: 40:[92, 26, 2], Operations: ['30/15=2']
Exploring Operation: 26*2=52, Resulting Numbers: [92, 52]
Generated Node #3: [92, 52] from Operation: 26*2=52
Current State: 40:[92, 52], Operations: ['30/15=2', '26*2=52']
Exploring Operation: 92-52=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[15, 92, 26, 30], Operations: []
Exploring Operation: 92-30=62, Resulting Numbers: [15, 26, 62]
Generated Node #0,0: 40:[15, 26, 62] Operation: 92-30=62
Exploring Operation: 92-26=66, Resulting Numbers: [15, 30, 66]
Generated Node #0,1: 40:[15, 30, 66] Operation: 92-26=66
Exploring Operation: 92-15=77, Resulting Numbers: [26, 30, 77]
Generated Node #0,2: 40:[26, 30, 77] Operation: 92-15=77
Moving to Node #0,0
Current State: 40:[15, 26, 62], Operations: ['92-30=62']
Exploring Operation: 15+26=41, Resulting Numbers: [62, 41]
Generated Node #0,0,0: 40:[62, 41] Operation: 15+26=41
Exploring Operation: 62-15=47, Resulting Numbers: [26, 47]
Generated Node #0,0,1: 40:[26, 47] Operation: 62-15=47
Exploring Operation: 62-26=36, Resulting Numbers: [15, 36]
Generated Node #0,0,2: 40:[15, 36] Operation: 62-26=36
Moving to Node #0,1
Current State: 40:[15, 30, 66], Operations: ['92-26=66']
Exploring Operation: 66-30=36, Resulting Numbers: [15, 36]
Generated Node #0,1,0: 40:[15, 36] Operation: 66-30=36
Exploring Operation: 66-15=51, Resulting Numbers: [30, 51]
Generated Node #0,1,1: 40:[30, 51] Operation: 66-15=51
Exploring Operation: 30/15=2, Resulting Numbers: [66, 2]
Generated Node #0,1,2: 40:[66, 2] Operation: 30/15=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 40:[15, 36], Operations: ['92-26=66', '66-30=36']
Exploring Operation: 15+36=51, Resulting Numbers: [51]
51,40 unequal: No Solution
Exploring Operation: 15*36=540, Resulting Numbers: [540]
540,40 unequal: No Solution
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,40 unequal: No Solution
No 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: 40:[30, 51], Operations: ['92-26=66', '66-15=51']
Exploring Operation: 51-30=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Exploring Operation: 30*51=1530, Resulting Numbers: [1530]
1530,40 unequal: No Solution
Exploring Operation: 30+51=81, Resulting Numbers: [81]
81,40 unequal: No Solution
No 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: 40:[66, 2], Operations: ['92-26=66', '30/15=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,40 unequal: No Solution
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,40 unequal: No Solution
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,40 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: 40:[26, 30, 77], Operations: ['92-15=77']
Exploring Operation: 77-26=51, Resulting Numbers: [30, 51]
Generated Node #0,2,0: 40:[30, 51] Operation: 77-26=51
Exploring Operation: 30-26=4, Resulting Numbers: [77, 4]
Generated Node #0,2,1: 40:[77, 4] Operation: 30-26=4
Exploring Operation: 77-30=47, Resulting Numbers: [26, 47]
Generated Node #0,2,2: 40:[26, 47] Operation: 77-30=47
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 40:[26, 47], Operations: ['92-15=77', '77-30=47']
Exploring Operation: 26*47=1222, Resulting Numbers: [1222]
1222,40 unequal: No Solution
Exploring Operation: 47-26=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Exploring Operation: 26+47=73, Resulting Numbers: [73]
73,40 unequal: No Solution
No 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: 40:[30, 51], Operations: ['92-15=77', '77-26=51']
Exploring Operation: 30+51=81, Resulting Numbers: [81]
81,40 unequal: No Solution
Exploring Operation: 51-30=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Exploring Operation: 30*51=1530, Resulting Numbers: [1530]
1530,40 unequal: No Solution
No 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: 40:[77, 4], Operations: ['92-15=77', '30-26=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,40 unequal: No Solution
Exploring Operation: 77*4=308, Resulting Numbers: [308]
308,40 unequal: No Solution
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 40:[15, 36], Operations: ['92-30=62', '62-26=36']
Exploring Operation: 15*36=540, Resulting Numbers: [540]
540,40 unequal: No Solution
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Exploring Operation: 15+36=51, Resulting Numbers: [51]
51,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[26, 47], Operations: ['92-30=62', '62-15=47']
Exploring Operation: 26+47=73, Resulting Numbers: [73]
73,40 unequal: No Solution
Exploring Operation: 26*47=1222, Resulting Numbers: [1222]
1222,40 unequal: No Solution
Exploring Operation: 47-26=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Moving to Node #0,0,0
Current State: 40:[62, 41], Operations: ['92-30=62', '15+26=41']
Exploring Operation: 62*41=2542, Resulting Numbers: [2542]
2542,40 unequal: No Solution
Exploring Operation: 62+41=103, Resulting Numbers: [103]
103,40 unequal: No Solution
Exploring Operation: 62-41=21, Resulting Numbers: [21]
21,40 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
2,
63,
68,
89
] | 82 | [
"63-2=61",
"89-68=21",
"61+21=82"
] | Current State: 82:[2, 63, 68, 89], Operations: []
Exploring Operation: 63-2=61, Resulting Numbers: [68, 89, 61]
Generated Node #2: [68, 89, 61] from Operation: 63-2=61
Current State: 82:[68, 89, 61], Operations: ['63-2=61']
Exploring Operation: 89-68=21, Resulting Numbers: [61, 21]
Generated Node #3: [61, 21] from Operation: 89-68=21
Current State: 82:[61, 21], Operations: ['63-2=61', '89-68=21']
Exploring Operation: 61+21=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[2, 63, 68, 89], Operations: []
Exploring Operation: 68/2=34, Resulting Numbers: [63, 89, 34]
Generated Node #0,0: 82:[63, 89, 34] Operation: 68/2=34
Exploring Operation: 89-63=26, Resulting Numbers: [2, 68, 26]
Generated Node #0,1: 82:[2, 68, 26] Operation: 89-63=26
Exploring Operation: 68-63=5, Resulting Numbers: [2, 89, 5]
Generated Node #0,2: 82:[2, 89, 5] Operation: 68-63=5
Exploring Operation: 2+63=65, Resulting Numbers: [68, 89, 65]
Generated Node #0,3: 82:[68, 89, 65] Operation: 2+63=65
Moving to Node #0,2
Current State: 82:[2, 89, 5], Operations: ['68-63=5']
Exploring Operation: 89-2=87, Resulting Numbers: [5, 87]
Generated Node #0,2,0: 82:[5, 87] Operation: 89-2=87
Exploring Operation: 2+89=91, Resulting Numbers: [5, 91]
Generated Node #0,2,1: 82:[5, 91] Operation: 2+89=91
Exploring Operation: 5-2=3, Resulting Numbers: [89, 3]
Generated Node #0,2,2: 82:[89, 3] Operation: 5-2=3
Exploring Operation: 89-5=84, Resulting Numbers: [2, 84]
Generated Node #0,2,3: 82:[2, 84] Operation: 89-5=84
Moving to Node #0,1
Current State: 82:[2, 68, 26], Operations: ['89-63=26']
Exploring Operation: 2*26=52, Resulting Numbers: [68, 52]
Generated Node #0,1,0: 82:[68, 52] Operation: 2*26=52
Exploring Operation: 68/2=34, Resulting Numbers: [26, 34]
Generated Node #0,1,1: 82:[26, 34] Operation: 68/2=34
Exploring Operation: 68-26=42, Resulting Numbers: [2, 42]
Generated Node #0,1,2: 82:[2, 42] Operation: 68-26=42
Exploring Operation: 68+26=94, Resulting Numbers: [2, 94]
Generated Node #0,1,3: 82:[2, 94] Operation: 68+26=94
Moving to Node #0,0
Current State: 82:[63, 89, 34], Operations: ['68/2=34']
Exploring Operation: 63+34=97, Resulting Numbers: [89, 97]
Generated Node #0,0,0: 82:[89, 97] Operation: 63+34=97
Exploring Operation: 63-34=29, Resulting Numbers: [89, 29]
Generated Node #0,0,1: 82:[89, 29] Operation: 63-34=29
Exploring Operation: 89-63=26, Resulting Numbers: [34, 26]
Generated Node #0,0,2: 82:[34, 26] Operation: 89-63=26
Exploring Operation: 89-34=55, Resulting Numbers: [63, 55]
Generated Node #0,0,3: 82:[63, 55] Operation: 89-34=55
Moving to Node #0,3
Current State: 82:[68, 89, 65], Operations: ['2+63=65']
Exploring Operation: 68-65=3, Resulting Numbers: [89, 3]
Generated Node #0,3,0: 82:[89, 3] Operation: 68-65=3
Exploring Operation: 68+65=133, Resulting Numbers: [89, 133]
Generated Node #0,3,1: 82:[89, 133] Operation: 68+65=133
Exploring Operation: 89-68=21, Resulting Numbers: [65, 21]
Generated Node #0,3,2: 82:[65, 21] Operation: 89-68=21
Exploring Operation: 89-65=24, Resulting Numbers: [68, 24]
Generated Node #0,3,3: 82:[68, 24] Operation: 89-65=24
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 82:[89, 3], Operations: ['2+63=65', '68-65=3']
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,82 unequal: No Solution
Exploring Operation: 89*3=267, Resulting Numbers: [267]
267,82 unequal: No Solution
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 82:[68, 24], Operations: ['2+63=65', '89-65=24']
Exploring Operation: 68-24=44, Resulting Numbers: [44]
44,82 unequal: No Solution
Exploring Operation: 68*24=1632, Resulting Numbers: [1632]
1632,82 unequal: No Solution
Exploring Operation: 68+24=92, Resulting Numbers: [92]
92,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 82:[65, 21], Operations: ['2+63=65', '89-68=21']
Exploring Operation: 65*21=1365, Resulting Numbers: [1365]
1365,82 unequal: No Solution
Exploring Operation: 65+21=86, Resulting Numbers: [86]
86,82 unequal: No Solution
Exploring Operation: 65-21=44, Resulting Numbers: [44]
44,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 82:[89, 133], Operations: ['2+63=65', '68+65=133']
Exploring Operation: 133-89=44, Resulting Numbers: [44]
44,82 unequal: No Solution
Exploring Operation: 89+133=222, Resulting Numbers: [222]
222,82 unequal: No Solution
Exploring Operation: 89*133=11837, Resulting Numbers: [11837]
11837,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 82:[2, 42], Operations: ['89-63=26', '68-26=42']
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,82 unequal: No Solution
Exploring Operation: 2+42=44, Resulting Numbers: [44]
44,82 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,82 unequal: No Solution
Moving to Node #0,2,3
Current State: 82:[2, 84], Operations: ['68-63=5', '89-5=84']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 2*84=168, Resulting Numbers: [168]
168,82 unequal: No Solution
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[2, 63, 68, 89], Operations: []
Exploring Operation: 68-63=5, Resulting Numbers: [2, 89, 5]
Generated Node #0,2: 82:[2, 89, 5] Operation: 68-63=5
Moving to Node #0,2
Current State: 82:[2, 89, 5], Operations: ['68-63=5']
Exploring Operation: 89-5=84, Resulting Numbers: [2, 84]
Generated Node #0,2,3: 82:[2, 84] Operation: 89-5=84
Moving to Node #0,2,3
Current State: 82:[2, 84], Operations: ['68-63=5', '89-5=84']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 0.962674 | hs_4 | sum_heuristic |
[
50,
40,
42,
54
] | 78 | [
"50+40=90",
"54-42=12",
"90-12=78"
] | Current State: 78:[50, 40, 42, 54], Operations: []
Exploring Operation: 50+40=90, Resulting Numbers: [42, 54, 90]
Generated Node #2: [42, 54, 90] from Operation: 50+40=90
Current State: 78:[42, 54, 90], Operations: ['50+40=90']
Exploring Operation: 54-42=12, Resulting Numbers: [90, 12]
Generated Node #3: [90, 12] from Operation: 54-42=12
Current State: 78:[90, 12], Operations: ['50+40=90', '54-42=12']
Exploring Operation: 90-12=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[50, 40, 42, 54], Operations: []
Exploring Operation: 54-42=12, Resulting Numbers: [50, 40, 12]
Generated Node #0,0: 78:[50, 40, 12] Operation: 54-42=12
Exploring Operation: 54-50=4, Resulting Numbers: [40, 42, 4]
Generated Node #0,1: 78:[40, 42, 4] Operation: 54-50=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[40, 42, 4], Operations: ['54-50=4']
Exploring Operation: 42-40=2, Resulting Numbers: [4, 2]
Generated Node #0,1,0: 78:[4, 2] Operation: 42-40=2
Exploring Operation: 42-4=38, Resulting Numbers: [40, 38]
Generated Node #0,1,1: 78:[40, 38] Operation: 42-4=38
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 78:[4, 2], Operations: ['54-50=4', '42-40=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 78:[40, 38], Operations: ['54-50=4', '42-4=38']
Exploring Operation: 40+38=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[50, 40, 42, 54], Operations: []
Exploring Operation: 54-50=4, Resulting Numbers: [40, 42, 4]
Generated Node #0,1: 78:[40, 42, 4] Operation: 54-50=4
Moving to Node #0,1
Current State: 78:[40, 42, 4], Operations: ['54-50=4']
Exploring Operation: 42-4=38, Resulting Numbers: [40, 38]
Generated Node #0,1,1: 78:[40, 38] Operation: 42-4=38
Moving to Node #0,1,1
Current State: 78:[40, 38], Operations: ['54-50=4', '42-4=38']
Exploring Operation: 40+38=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
71,
96,
99,
45
] | 55 | [
"96-71=25",
"99*25=2475",
"2475/45=55"
] | Current State: 55:[71, 96, 99, 45], Operations: []
Exploring Operation: 96-71=25, Resulting Numbers: [99, 45, 25]
Generated Node #2: [99, 45, 25] from Operation: 96-71=25
Current State: 55:[99, 45, 25], Operations: ['96-71=25']
Exploring Operation: 99*25=2475, Resulting Numbers: [45, 2475]
Generated Node #3: [45, 2475] from Operation: 99*25=2475
Current State: 55:[45, 2475], Operations: ['96-71=25', '99*25=2475']
Exploring Operation: 2475/45=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[71, 96, 99, 45], Operations: []
Exploring Operation: 99-96=3, Resulting Numbers: [71, 45, 3]
Generated Node #0,0: 55:[71, 45, 3] Operation: 99-96=3
Exploring Operation: 99-45=54, Resulting Numbers: [71, 96, 54]
Generated Node #0,1: 55:[71, 96, 54] Operation: 99-45=54
Exploring Operation: 96-71=25, Resulting Numbers: [99, 45, 25]
Generated Node #0,2: 55:[99, 45, 25] Operation: 96-71=25
Exploring Operation: 96-45=51, Resulting Numbers: [71, 99, 51]
Generated Node #0,3: 55:[71, 99, 51] Operation: 96-45=51
Exploring Operation: 99-71=28, Resulting Numbers: [96, 45, 28]
Generated Node #0,4: 55:[96, 45, 28] Operation: 99-71=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[71, 45, 3], Operations: ['99-96=3']
Exploring Operation: 71+3=74, Resulting Numbers: [45, 74]
Generated Node #0,0,0: 55:[45, 74] Operation: 71+3=74
Exploring Operation: 71-3=68, Resulting Numbers: [45, 68]
Generated Node #0,0,1: 55:[45, 68] Operation: 71-3=68
Exploring Operation: 71-45=26, Resulting Numbers: [3, 26]
Generated Node #0,0,2: 55:[3, 26] Operation: 71-45=26
Exploring Operation: 45+3=48, Resulting Numbers: [71, 48]
Generated Node #0,0,3: 55:[71, 48] Operation: 45+3=48
Exploring Operation: 45/3=15, Resulting Numbers: [71, 15]
Generated Node #0,0,4: 55:[71, 15] Operation: 45/3=15
Moving to Node #0,0,2
Current State: 55:[3, 26], Operations: ['99-96=3', '71-45=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,55 unequal: No Solution
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,55 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Moving to Node #0,0,4
Current State: 55:[71, 15], Operations: ['99-96=3', '45/3=15']
Exploring Operation: 71*15=1065, Resulting Numbers: [1065]
1065,55 unequal: No Solution
Exploring Operation: 71-15=56, Resulting Numbers: [56]
56,55 unequal: No Solution
Exploring Operation: 71+15=86, Resulting Numbers: [86]
86,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[45, 68], Operations: ['99-96=3', '71-3=68']
Exploring Operation: 45+68=113, Resulting Numbers: [113]
113,55 unequal: No Solution
Exploring Operation: 45*68=3060, Resulting Numbers: [3060]
3060,55 unequal: No Solution
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Moving to Node #0,0,3
Current State: 55:[71, 48], Operations: ['99-96=3', '45+3=48']
Exploring Operation: 71-48=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 71*48=3408, Resulting Numbers: [3408]
3408,55 unequal: No Solution
Exploring Operation: 71+48=119, Resulting Numbers: [119]
119,55 unequal: No Solution
Moving to Node #0,0,0
Current State: 55:[45, 74], Operations: ['99-96=3', '71+3=74']
Exploring Operation: 45+74=119, Resulting Numbers: [119]
119,55 unequal: No Solution
Exploring Operation: 45*74=3330, Resulting Numbers: [3330]
3330,55 unequal: No Solution
Exploring Operation: 74-45=29, Resulting Numbers: [29]
29,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[71, 96, 54], Operations: ['99-45=54']
Exploring Operation: 96-54=42, Resulting Numbers: [71, 42]
Generated Node #0,1,0: 55:[71, 42] Operation: 96-54=42
Exploring Operation: 96-71=25, Resulting Numbers: [54, 25]
Generated Node #0,1,1: 55:[54, 25] Operation: 96-71=25
Exploring Operation: 96+54=150, Resulting Numbers: [71, 150]
Generated Node #0,1,2: 55:[71, 150] Operation: 96+54=150
Exploring Operation: 71-54=17, Resulting Numbers: [96, 17]
Generated Node #0,1,3: 55:[96, 17] Operation: 71-54=17
Exploring Operation: 71+54=125, Resulting Numbers: [96, 125]
Generated Node #0,1,4: 55:[96, 125] Operation: 71+54=125
Moving to Node #0,1,1
Current State: 55:[54, 25], Operations: ['99-45=54', '96-71=25']
Exploring Operation: 54*25=1350, Resulting Numbers: [1350]
1350,55 unequal: No Solution
Exploring Operation: 54+25=79, Resulting Numbers: [79]
79,55 unequal: No Solution
Exploring Operation: 54-25=29, Resulting Numbers: [29]
29,55 unequal: No Solution
Moving to Node #0,1,0
Current State: 55:[71, 42], Operations: ['99-45=54', '96-54=42']
Exploring Operation: 71+42=113, Resulting Numbers: [113]
113,55 unequal: No Solution
Exploring Operation: 71-42=29, Resulting Numbers: [29]
29,55 unequal: No Solution
Exploring Operation: 71*42=2982, Resulting Numbers: [2982]
2982,55 unequal: No Solution
Moving to Node #0,1,3
Current State: 55:[96, 17], Operations: ['99-45=54', '71-54=17']
Exploring Operation: 96+17=113, Resulting Numbers: [113]
113,55 unequal: No Solution
Exploring Operation: 96*17=1632, Resulting Numbers: [1632]
1632,55 unequal: No Solution
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,55 unequal: No Solution
Moving to Node #0,1,2
Current State: 55:[71, 150], Operations: ['99-45=54', '96+54=150']
Exploring Operation: 71*150=10650, Resulting Numbers: [10650]
10650,55 unequal: No Solution
Exploring Operation: 71+150=221, Resulting Numbers: [221]
221,55 unequal: No Solution
Exploring Operation: 150-71=79, Resulting Numbers: [79]
79,55 unequal: No Solution
Moving to Node #0,1,4
Current State: 55:[96, 125], Operations: ['99-45=54', '71+54=125']
Exploring Operation: 96+125=221, Resulting Numbers: [221]
221,55 unequal: No Solution
Exploring Operation: 125-96=29, Resulting Numbers: [29]
29,55 unequal: No Solution
Exploring Operation: 96*125=12000, Resulting Numbers: [12000]
12000,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 55:[71, 99, 51], Operations: ['96-45=51']
Exploring Operation: 99+51=150, Resulting Numbers: [71, 150]
Generated Node #0,3,0: 55:[71, 150] Operation: 99+51=150
Exploring Operation: 71+51=122, Resulting Numbers: [99, 122]
Generated Node #0,3,1: 55:[99, 122] Operation: 71+51=122
Exploring Operation: 71-51=20, Resulting Numbers: [99, 20]
Generated Node #0,3,2: 55:[99, 20] Operation: 71-51=20
Exploring Operation: 99-51=48, Resulting Numbers: [71, 48]
Generated Node #0,3,3: 55:[71, 48] Operation: 99-51=48
Exploring Operation: 99-71=28, Resulting Numbers: [51, 28]
Generated Node #0,3,4: 55:[51, 28] Operation: 99-71=28
Moving to Node #0,3,4
Current State: 55:[51, 28], Operations: ['96-45=51', '99-71=28']
Exploring Operation: 51-28=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 51*28=1428, Resulting Numbers: [1428]
1428,55 unequal: No Solution
Exploring Operation: 51+28=79, Resulting Numbers: [79]
79,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[71, 48], Operations: ['96-45=51', '99-51=48']
Exploring Operation: 71-48=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 71+48=119, Resulting Numbers: [119]
119,55 unequal: No Solution
Exploring Operation: 71*48=3408, Resulting Numbers: [3408]
3408,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[99, 20], Operations: ['96-45=51', '71-51=20']
Exploring Operation: 99+20=119, Resulting Numbers: [119]
119,55 unequal: No Solution
Exploring Operation: 99-20=79, Resulting Numbers: [79]
79,55 unequal: No Solution
Exploring Operation: 99*20=1980, Resulting Numbers: [1980]
1980,55 unequal: No Solution
Moving to Node #0,3,0
Current State: 55:[71, 150], Operations: ['96-45=51', '99+51=150']
Exploring Operation: 150-71=79, Resulting Numbers: [79]
79,55 unequal: No Solution
Exploring Operation: 71*150=10650, Resulting Numbers: [10650]
10650,55 unequal: No Solution
Exploring Operation: 71+150=221, Resulting Numbers: [221]
221,55 unequal: No Solution
Moving to Node #0,3,1
Current State: 55:[99, 122], Operations: ['96-45=51', '71+51=122']
Exploring Operation: 99*122=12078, Resulting Numbers: [12078]
12078,55 unequal: No Solution
Exploring Operation: 99+122=221, Resulting Numbers: [221]
221,55 unequal: No Solution
Exploring Operation: 122-99=23, Resulting Numbers: [23]
23,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 55:[99, 45, 25], Operations: ['96-71=25']
Exploring Operation: 99-45=54, Resulting Numbers: [25, 54]
Generated Node #0,2,0: 55:[25, 54] Operation: 99-45=54
Exploring Operation: 45+25=70, Resulting Numbers: [99, 70]
Generated Node #0,2,1: 55:[99, 70] Operation: 45+25=70
Exploring Operation: 99-25=74, Resulting Numbers: [45, 74]
Generated Node #0,2,2: 55:[45, 74] Operation: 99-25=74
Exploring Operation: 45-25=20, Resulting Numbers: [99, 20]
Generated Node #0,2,3: 55:[99, 20] Operation: 45-25=20
Exploring Operation: 99+25=124, Resulting Numbers: [45, 124]
Generated Node #0,2,4: 55:[45, 124] Operation: 99+25=124
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 55:[25, 54], Operations: ['96-71=25', '99-45=54']
Exploring Operation: 25+54=79, Resulting Numbers: [79]
79,55 unequal: No Solution
Exploring Operation: 54-25=29, Resulting Numbers: [29]
29,55 unequal: No Solution
Exploring Operation: 25*54=1350, Resulting Numbers: [1350]
1350,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 55:[45, 74], Operations: ['96-71=25', '99-25=74']
Exploring Operation: 45+74=119, Resulting Numbers: [119]
119,55 unequal: No Solution
Exploring Operation: 74-45=29, Resulting Numbers: [29]
29,55 unequal: No Solution
Exploring Operation: 45*74=3330, Resulting Numbers: [3330]
3330,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 55:[99, 20], Operations: ['96-71=25', '45-25=20']
Exploring Operation: 99*20=1980, Resulting Numbers: [1980]
1980,55 unequal: No Solution
Exploring Operation: 99+20=119, Resulting Numbers: [119]
119,55 unequal: No Solution
Exploring Operation: 99-20=79, Resulting Numbers: [79]
79,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 55:[99, 70], Operations: ['96-71=25', '45+25=70']
Exploring Operation: 99+70=169, Resulting Numbers: [169]
169,55 unequal: No Solution
Exploring Operation: 99-70=29, Resulting Numbers: [29]
29,55 unequal: No Solution
Exploring Operation: 99*70=6930, Resulting Numbers: [6930]
6930,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 55:[45, 124], Operations: ['96-71=25', '99+25=124']
Exploring Operation: 45+124=169, Resulting Numbers: [169]
169,55 unequal: No Solution
Exploring Operation: 45*124=5580, Resulting Numbers: [5580]
5580,55 unequal: No Solution
Exploring Operation: 124-45=79, Resulting Numbers: [79]
79,55 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 55:[96, 45, 28], Operations: ['99-71=28']
Exploring Operation: 96+28=124, Resulting Numbers: [45, 124]
Generated Node #0,4,0: 55:[45, 124] Operation: 96+28=124
Exploring Operation: 96-45=51, Resulting Numbers: [28, 51]
Generated Node #0,4,1: 55:[28, 51] Operation: 96-45=51
Exploring Operation: 96-28=68, Resulting Numbers: [45, 68]
Generated Node #0,4,2: 55:[45, 68] Operation: 96-28=68
Exploring Operation: 45-28=17, Resulting Numbers: [96, 17]
Generated Node #0,4,3: 55:[96, 17] Operation: 45-28=17
Exploring Operation: 45+28=73, Resulting Numbers: [96, 73]
Generated Node #0,4,4: 55:[96, 73] Operation: 45+28=73
Moving to Node #0,4,1
Current State: 55:[28, 51], Operations: ['99-71=28', '96-45=51']
Exploring Operation: 28*51=1428, Resulting Numbers: [1428]
1428,55 unequal: No Solution
Exploring Operation: 28+51=79, Resulting Numbers: [79]
79,55 unequal: No Solution
Exploring Operation: 51-28=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Moving to Node #0,4,2
Current State: 55:[45, 68], Operations: ['99-71=28', '96-28=68']
Exploring Operation: 45+68=113, Resulting Numbers: [113]
113,55 unequal: No Solution
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 45*68=3060, Resulting Numbers: [3060]
3060,55 unequal: No Solution
Moving to Node #0,4,3
Current State: 55:[96, 17], Operations: ['99-71=28', '45-28=17']
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,55 unequal: No Solution
Exploring Operation: 96*17=1632, Resulting Numbers: [1632]
1632,55 unequal: No Solution
Exploring Operation: 96+17=113, Resulting Numbers: [113]
113,55 unequal: No Solution
Moving to Node #0,4,4
Current State: 55:[96, 73], Operations: ['99-71=28', '45+28=73']
Exploring Operation: 96-73=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 96*73=7008, Resulting Numbers: [7008]
7008,55 unequal: No Solution
Exploring Operation: 96+73=169, Resulting Numbers: [169]
169,55 unequal: No Solution
Moving to Node #0,4,0
Current State: 55:[45, 124], Operations: ['99-71=28', '96+28=124']
Exploring Operation: 45*124=5580, Resulting Numbers: [5580]
5580,55 unequal: No Solution
Exploring Operation: 124-45=79, Resulting Numbers: [79]
79,55 unequal: No Solution
Exploring Operation: 45+124=169, Resulting Numbers: [169]
169,55 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 |
[
21,
73,
56,
25
] | 12 | [
"21*56=1176",
"73+25=98",
"1176/98=12"
] | Current State: 12:[21, 73, 56, 25], Operations: []
Exploring Operation: 21*56=1176, Resulting Numbers: [73, 25, 1176]
Generated Node #2: [73, 25, 1176] from Operation: 21*56=1176
Current State: 12:[73, 25, 1176], Operations: ['21*56=1176']
Exploring Operation: 73+25=98, Resulting Numbers: [1176, 98]
Generated Node #3: [1176, 98] from Operation: 73+25=98
Current State: 12:[1176, 98], Operations: ['21*56=1176', '73+25=98']
Exploring Operation: 1176/98=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[21, 73, 56, 25], Operations: []
Exploring Operation: 73-56=17, Resulting Numbers: [21, 25, 17]
Generated Node #0,0: 12:[21, 25, 17] Operation: 73-56=17
Moving to Node #0,0
Current State: 12:[21, 25, 17], Operations: ['73-56=17']
Exploring Operation: 25-21=4, Resulting Numbers: [17, 4]
Generated Node #0,0,0: 12:[17, 4] Operation: 25-21=4
Moving to Node #0,0,0
Current State: 12:[17, 4], Operations: ['73-56=17', '25-21=4']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,12 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
16,
23,
70,
71
] | 39 | [
"16+23=39",
"71-70=1",
"39*1=39"
] | Current State: 39:[16, 23, 70, 71], Operations: []
Exploring Operation: 16+23=39, Resulting Numbers: [70, 71, 39]
Generated Node #2: [70, 71, 39] from Operation: 16+23=39
Current State: 39:[70, 71, 39], Operations: ['16+23=39']
Exploring Operation: 71-70=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 71-70=1
Current State: 39:[39, 1], Operations: ['16+23=39', '71-70=1']
Exploring Operation: 39*1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[16, 23, 70, 71], Operations: []
Exploring Operation: 71-70=1, Resulting Numbers: [16, 23, 1]
Generated Node #0,0: 39:[16, 23, 1] Operation: 71-70=1
Exploring Operation: 70-23=47, Resulting Numbers: [16, 71, 47]
Generated Node #0,1: 39:[16, 71, 47] Operation: 70-23=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[16, 23, 1], Operations: ['71-70=1']
Exploring Operation: 16+23=39, Resulting Numbers: [1, 39]
Generated Node #0,0,0: 39:[1, 39] Operation: 16+23=39
Exploring Operation: 23-16=7, Resulting Numbers: [1, 7]
Generated Node #0,0,1: 39:[1, 7] Operation: 23-16=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[1, 39], Operations: ['71-70=1', '16+23=39']
Exploring Operation: 1*39=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[16, 23, 70, 71], Operations: []
Exploring Operation: 71-70=1, Resulting Numbers: [16, 23, 1]
Generated Node #0,0: 39:[16, 23, 1] Operation: 71-70=1
Moving to Node #0,0
Current State: 39:[16, 23, 1], Operations: ['71-70=1']
Exploring Operation: 16+23=39, Resulting Numbers: [1, 39]
Generated Node #0,0,0: 39:[1, 39] Operation: 16+23=39
Moving to Node #0,0,0
Current State: 39:[1, 39], Operations: ['71-70=1', '16+23=39']
Exploring Operation: 1*39=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
25,
93,
2,
91
] | 29 | [
"25+93=118",
"91-2=89",
"118-89=29"
] | Current State: 29:[25, 93, 2, 91], Operations: []
Exploring Operation: 25+93=118, Resulting Numbers: [2, 91, 118]
Generated Node #2: [2, 91, 118] from Operation: 25+93=118
Current State: 29:[2, 91, 118], Operations: ['25+93=118']
Exploring Operation: 91-2=89, Resulting Numbers: [118, 89]
Generated Node #3: [118, 89] from Operation: 91-2=89
Current State: 29:[118, 89], Operations: ['25+93=118', '91-2=89']
Exploring Operation: 118-89=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[25, 93, 2, 91], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [25, 2, 2]
Generated Node #0,0: 29:[25, 2, 2] Operation: 93-91=2
Exploring Operation: 25+2=27, Resulting Numbers: [93, 91, 27]
Generated Node #0,1: 29:[93, 91, 27] Operation: 25+2=27
Exploring Operation: 93-25=68, Resulting Numbers: [2, 91, 68]
Generated Node #0,2: 29:[2, 91, 68] Operation: 93-25=68
Moving to Node #0,0
Current State: 29:[25, 2, 2], Operations: ['93-91=2']
Exploring Operation: 25+2=27, Resulting Numbers: [2, 27]
Generated Node #0,0,0: 29:[2, 27] Operation: 25+2=27
Exploring Operation: 25+2=27, Resulting Numbers: [2, 27]
Generated Node #0,0,1: 29:[2, 27] Operation: 25+2=27
Exploring Operation: 2+2=4, Resulting Numbers: [25, 4]
Generated Node #0,0,2: 29:[25, 4] Operation: 2+2=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[2, 27], Operations: ['93-91=2', '25+2=27']
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[25, 93, 2, 91], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [25, 2, 2]
Generated Node #0,0: 29:[25, 2, 2] Operation: 93-91=2
Moving to Node #0,0
Current State: 29:[25, 2, 2], Operations: ['93-91=2']
Exploring Operation: 25+2=27, Resulting Numbers: [2, 27]
Generated Node #0,0,0: 29:[2, 27] Operation: 25+2=27
Moving to Node #0,0,0
Current State: 29:[2, 27], Operations: ['93-91=2', '25+2=27']
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
92,
75,
84,
16
] | 77 | [
"92-84=8",
"16/8=2",
"75+2=77"
] | Current State: 77:[92, 75, 84, 16], Operations: []
Exploring Operation: 92-84=8, Resulting Numbers: [75, 16, 8]
Generated Node #2: [75, 16, 8] from Operation: 92-84=8
Current State: 77:[75, 16, 8], Operations: ['92-84=8']
Exploring Operation: 16/8=2, Resulting Numbers: [75, 2]
Generated Node #3: [75, 2] from Operation: 16/8=2
Current State: 77:[75, 2], Operations: ['92-84=8', '16/8=2']
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[92, 75, 84, 16], Operations: []
Exploring Operation: 92-75=17, Resulting Numbers: [84, 16, 17]
Generated Node #0,0: 77:[84, 16, 17] Operation: 92-75=17
Exploring Operation: 92-84=8, Resulting Numbers: [75, 16, 8]
Generated Node #0,1: 77:[75, 16, 8] Operation: 92-84=8
Exploring Operation: 92-16=76, Resulting Numbers: [75, 84, 76]
Generated Node #0,2: 77:[75, 84, 76] Operation: 92-16=76
Moving to Node #0,1
Current State: 77:[75, 16, 8], Operations: ['92-84=8']
Exploring Operation: 16/8=2, Resulting Numbers: [75, 2]
Generated Node #0,1,0: 77:[75, 2] Operation: 16/8=2
Exploring Operation: 16-8=8, Resulting Numbers: [75, 8]
Generated Node #0,1,1: 77:[75, 8] Operation: 16-8=8
Exploring Operation: 75+8=83, Resulting Numbers: [16, 83]
Generated Node #0,1,2: 77:[16, 83] Operation: 75+8=83
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 77:[75, 8], Operations: ['92-84=8', '16-8=8']
Exploring Operation: 75+8=83, Resulting Numbers: [83]
83,77 unequal: No Solution
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,77 unequal: No Solution
Exploring Operation: 75*8=600, Resulting Numbers: [600]
600,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[75, 2], Operations: ['92-84=8', '16/8=2']
Exploring Operation: 75*2=150, Resulting Numbers: [150]
150,77 unequal: No Solution
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,77 unequal: No Solution
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[92, 75, 84, 16], Operations: []
Exploring Operation: 92-84=8, Resulting Numbers: [75, 16, 8]
Generated Node #0,1: 77:[75, 16, 8] Operation: 92-84=8
Moving to Node #0,1
Current State: 77:[75, 16, 8], Operations: ['92-84=8']
Exploring Operation: 16/8=2, Resulting Numbers: [75, 2]
Generated Node #0,1,0: 77:[75, 2] Operation: 16/8=2
Moving to Node #0,1,0
Current State: 77:[75, 2], Operations: ['92-84=8', '16/8=2']
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
87,
39,
13,
21
] | 50 | [
"87*13=1131",
"1131/39=29",
"21+29=50"
] | Current State: 50:[87, 39, 13, 21], Operations: []
Exploring Operation: 87*13=1131, Resulting Numbers: [39, 21, 1131]
Generated Node #2: [39, 21, 1131] from Operation: 87*13=1131
Current State: 50:[39, 21, 1131], Operations: ['87*13=1131']
Exploring Operation: 1131/39=29, Resulting Numbers: [21, 29]
Generated Node #3: [21, 29] from Operation: 1131/39=29
Current State: 50:[21, 29], Operations: ['87*13=1131', '1131/39=29']
Exploring Operation: 21+29=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[87, 39, 13, 21], Operations: []
Exploring Operation: 39-13=26, Resulting Numbers: [87, 21, 26]
Generated Node #0,0: 50:[87, 21, 26] Operation: 39-13=26
Exploring Operation: 87-13=74, Resulting Numbers: [39, 21, 74]
Generated Node #0,1: 50:[39, 21, 74] Operation: 87-13=74
Exploring Operation: 87-39=48, Resulting Numbers: [13, 21, 48]
Generated Node #0,2: 50:[13, 21, 48] Operation: 87-39=48
Exploring Operation: 87-21=66, Resulting Numbers: [39, 13, 66]
Generated Node #0,3: 50:[39, 13, 66] Operation: 87-21=66
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[13, 21, 48], Operations: ['87-39=48']
Exploring Operation: 48-13=35, Resulting Numbers: [21, 35]
Generated Node #0,2,0: 50:[21, 35] Operation: 48-13=35
Exploring Operation: 48-21=27, Resulting Numbers: [13, 27]
Generated Node #0,2,1: 50:[13, 27] Operation: 48-21=27
Exploring Operation: 21-13=8, Resulting Numbers: [48, 8]
Generated Node #0,2,2: 50:[48, 8] Operation: 21-13=8
Exploring Operation: 13+21=34, Resulting Numbers: [48, 34]
Generated Node #0,2,3: 50:[48, 34] Operation: 13+21=34
Moving to Node #0,2,2
Current State: 50:[48, 8], Operations: ['87-39=48', '21-13=8']
Exploring Operation: 48*8=384, Resulting Numbers: [384]
384,50 unequal: No Solution
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,50 unequal: No Solution
Exploring Operation: 48+8=56, Resulting Numbers: [56]
56,50 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Moving to Node #0,2,1
Current State: 50:[13, 27], Operations: ['87-39=48', '48-21=27']
Exploring Operation: 13*27=351, Resulting Numbers: [351]
351,50 unequal: No Solution
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,50 unequal: No Solution
Moving to Node #0,2,3
Current State: 50:[48, 34], Operations: ['87-39=48', '13+21=34']
Exploring Operation: 48+34=82, Resulting Numbers: [82]
82,50 unequal: No Solution
Exploring Operation: 48*34=1632, Resulting Numbers: [1632]
1632,50 unequal: No Solution
Exploring Operation: 48-34=14, Resulting Numbers: [14]
14,50 unequal: No Solution
Moving to Node #0,2,0
Current State: 50:[21, 35], Operations: ['87-39=48', '48-13=35']
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,50 unequal: No Solution
Exploring Operation: 21*35=735, Resulting Numbers: [735]
735,50 unequal: No Solution
Exploring Operation: 21+35=56, Resulting Numbers: [56]
56,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 50:[39, 13, 66], Operations: ['87-21=66']
Exploring Operation: 66-39=27, Resulting Numbers: [13, 27]
Generated Node #0,3,0: 50:[13, 27] Operation: 66-39=27
Exploring Operation: 66-13=53, Resulting Numbers: [39, 53]
Generated Node #0,3,1: 50:[39, 53] Operation: 66-13=53
Exploring Operation: 39/13=3, Resulting Numbers: [66, 3]
Generated Node #0,3,2: 50:[66, 3] Operation: 39/13=3
Exploring Operation: 39-13=26, Resulting Numbers: [66, 26]
Generated Node #0,3,3: 50:[66, 26] Operation: 39-13=26
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 50:[13, 27], Operations: ['87-21=66', '66-39=27']
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,50 unequal: No Solution
Exploring Operation: 13*27=351, Resulting Numbers: [351]
351,50 unequal: No Solution
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,50 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 #0,3,1
Current State: 50:[39, 53], Operations: ['87-21=66', '66-13=53']
Exploring Operation: 39+53=92, Resulting Numbers: [92]
92,50 unequal: No Solution
Exploring Operation: 39*53=2067, Resulting Numbers: [2067]
2067,50 unequal: No Solution
Exploring Operation: 53-39=14, Resulting Numbers: [14]
14,50 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 #0,3,2
Current State: 50:[66, 3], Operations: ['87-21=66', '39/13=3']
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,50 unequal: No Solution
Exploring Operation: 66*3=198, Resulting Numbers: [198]
198,50 unequal: No Solution
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,50 unequal: No Solution
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,50 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 #0,3,3
Current State: 50:[66, 26], Operations: ['87-21=66', '39-13=26']
Exploring Operation: 66+26=92, Resulting Numbers: [92]
92,50 unequal: No Solution
Exploring Operation: 66-26=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Exploring Operation: 66*26=1716, Resulting Numbers: [1716]
1716,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[39, 21, 74], Operations: ['87-13=74']
Exploring Operation: 74-39=35, Resulting Numbers: [21, 35]
Generated Node #0,1,0: 50:[21, 35] Operation: 74-39=35
Exploring Operation: 39-21=18, Resulting Numbers: [74, 18]
Generated Node #0,1,1: 50:[74, 18] Operation: 39-21=18
Exploring Operation: 39+21=60, Resulting Numbers: [74, 60]
Generated Node #0,1,2: 50:[74, 60] Operation: 39+21=60
Exploring Operation: 74-21=53, Resulting Numbers: [39, 53]
Generated Node #0,1,3: 50:[39, 53] Operation: 74-21=53
Moving to Node #0,1,0
Current State: 50:[21, 35], Operations: ['87-13=74', '74-39=35']
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,50 unequal: No Solution
Exploring Operation: 21*35=735, Resulting Numbers: [735]
735,50 unequal: No Solution
Exploring Operation: 21+35=56, Resulting Numbers: [56]
56,50 unequal: No Solution
Moving to Node #0,1,3
Current State: 50:[39, 53], Operations: ['87-13=74', '74-21=53']
Exploring Operation: 39+53=92, Resulting Numbers: [92]
92,50 unequal: No Solution
Exploring Operation: 53-39=14, Resulting Numbers: [14]
14,50 unequal: No Solution
Exploring Operation: 39*53=2067, Resulting Numbers: [2067]
2067,50 unequal: No Solution
Moving to Node #0,1,1
Current State: 50:[74, 18], Operations: ['87-13=74', '39-21=18']
Exploring Operation: 74-18=56, Resulting Numbers: [56]
56,50 unequal: No Solution
Exploring Operation: 74+18=92, Resulting Numbers: [92]
92,50 unequal: No Solution
Exploring Operation: 74*18=1332, Resulting Numbers: [1332]
1332,50 unequal: No Solution
Moving to Node #0,1,2
Current State: 50:[74, 60], Operations: ['87-13=74', '39+21=60']
Exploring Operation: 74*60=4440, Resulting Numbers: [4440]
4440,50 unequal: No Solution
Exploring Operation: 74-60=14, Resulting Numbers: [14]
14,50 unequal: No Solution
Exploring Operation: 74+60=134, Resulting Numbers: [134]
134,50 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:[87, 21, 26], Operations: ['39-13=26']
Exploring Operation: 21+26=47, Resulting Numbers: [87, 47]
Generated Node #0,0,0: 50:[87, 47] Operation: 21+26=47
Exploring Operation: 87-21=66, Resulting Numbers: [26, 66]
Generated Node #0,0,1: 50:[26, 66] Operation: 87-21=66
Exploring Operation: 87-26=61, Resulting Numbers: [21, 61]
Generated Node #0,0,2: 50:[21, 61] Operation: 87-26=61
Exploring Operation: 26-21=5, Resulting Numbers: [87, 5]
Generated Node #0,0,3: 50:[87, 5] Operation: 26-21=5
Moving to Node #0,0,2
Current State: 50:[21, 61], Operations: ['39-13=26', '87-26=61']
Exploring Operation: 61-21=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Exploring Operation: 21*61=1281, Resulting Numbers: [1281]
1281,50 unequal: No Solution
Exploring Operation: 21+61=82, Resulting Numbers: [82]
82,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[26, 66], Operations: ['39-13=26', '87-21=66']
Exploring Operation: 26*66=1716, Resulting Numbers: [1716]
1716,50 unequal: No Solution
Exploring Operation: 26+66=92, Resulting Numbers: [92]
92,50 unequal: No Solution
Exploring Operation: 66-26=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Moving to Node #0,0,3
Current State: 50:[87, 5], Operations: ['39-13=26', '26-21=5']
Exploring Operation: 87*5=435, Resulting Numbers: [435]
435,50 unequal: No Solution
Exploring Operation: 87-5=82, Resulting Numbers: [82]
82,50 unequal: No Solution
Exploring Operation: 87+5=92, Resulting Numbers: [92]
92,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[87, 47], Operations: ['39-13=26', '21+26=47']
Exploring Operation: 87-47=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Exploring Operation: 87*47=4089, Resulting Numbers: [4089]
4089,50 unequal: No Solution
Exploring Operation: 87+47=134, Resulting Numbers: [134]
134,50 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 |
[
44,
21,
22,
8
] | 84 | [
"44/22=2",
"21*8=168",
"168/2=84"
] | Current State: 84:[44, 21, 22, 8], Operations: []
Exploring Operation: 44/22=2, Resulting Numbers: [21, 8, 2]
Generated Node #2: [21, 8, 2] from Operation: 44/22=2
Current State: 84:[21, 8, 2], Operations: ['44/22=2']
Exploring Operation: 21*8=168, Resulting Numbers: [2, 168]
Generated Node #3: [2, 168] from Operation: 21*8=168
Current State: 84:[2, 168], Operations: ['44/22=2', '21*8=168']
Exploring Operation: 168/2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[44, 21, 22, 8], Operations: []
Exploring Operation: 22-8=14, Resulting Numbers: [44, 21, 14]
Generated Node #0,0: 84:[44, 21, 14] Operation: 22-8=14
Exploring Operation: 44-22=22, Resulting Numbers: [21, 8, 22]
Generated Node #0,1: 84:[21, 8, 22] Operation: 44-22=22
Exploring Operation: 44/22=2, Resulting Numbers: [21, 8, 2]
Generated Node #0,2: 84:[21, 8, 2] Operation: 44/22=2
Moving to Node #0,2
Current State: 84:[21, 8, 2], Operations: ['44/22=2']
Exploring Operation: 8/2=4, Resulting Numbers: [21, 4]
Generated Node #0,2,0: 84:[21, 4] Operation: 8/2=4
Exploring Operation: 8-2=6, Resulting Numbers: [21, 6]
Generated Node #0,2,1: 84:[21, 6] Operation: 8-2=6
Exploring Operation: 21+8=29, Resulting Numbers: [2, 29]
Generated Node #0,2,2: 84:[2, 29] Operation: 21+8=29
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 84:[21, 4], Operations: ['44/22=2', '8/2=4']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,84 unequal: No Solution
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,84 unequal: No Solution
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[44, 21, 22, 8], Operations: []
Exploring Operation: 44/22=2, Resulting Numbers: [21, 8, 2]
Generated Node #0,2: 84:[21, 8, 2] Operation: 44/22=2
Moving to Node #0,2
Current State: 84:[21, 8, 2], Operations: ['44/22=2']
Exploring Operation: 8/2=4, Resulting Numbers: [21, 4]
Generated Node #0,2,0: 84:[21, 4] Operation: 8/2=4
Moving to Node #0,2,0
Current State: 84:[21, 4], Operations: ['44/22=2', '8/2=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
60,
41,
13,
5
] | 40 | [
"60/5=12",
"41-13=28",
"12+28=40"
] | Current State: 40:[60, 41, 13, 5], Operations: []
Exploring Operation: 60/5=12, Resulting Numbers: [41, 13, 12]
Generated Node #2: [41, 13, 12] from Operation: 60/5=12
Current State: 40:[41, 13, 12], Operations: ['60/5=12']
Exploring Operation: 41-13=28, Resulting Numbers: [12, 28]
Generated Node #3: [12, 28] from Operation: 41-13=28
Current State: 40:[12, 28], Operations: ['60/5=12', '41-13=28']
Exploring Operation: 12+28=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[60, 41, 13, 5], Operations: []
Exploring Operation: 60-13=47, Resulting Numbers: [41, 5, 47]
Generated Node #0,0: 40:[41, 5, 47] Operation: 60-13=47
Exploring Operation: 60/5=12, Resulting Numbers: [41, 13, 12]
Generated Node #0,1: 40:[41, 13, 12] Operation: 60/5=12
Exploring Operation: 60-41=19, Resulting Numbers: [13, 5, 19]
Generated Node #0,2: 40:[13, 5, 19] Operation: 60-41=19
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[13, 5, 19], Operations: ['60-41=19']
Exploring Operation: 13+5=18, Resulting Numbers: [19, 18]
Generated Node #0,2,0: 40:[19, 18] Operation: 13+5=18
Exploring Operation: 19-13=6, Resulting Numbers: [5, 6]
Generated Node #0,2,1: 40:[5, 6] Operation: 19-13=6
Exploring Operation: 13-5=8, Resulting Numbers: [19, 8]
Generated Node #0,2,2: 40:[19, 8] Operation: 13-5=8
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 40:[5, 6], Operations: ['60-41=19', '19-13=6']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,40 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 40:[19, 8], Operations: ['60-41=19', '13-5=8']
Exploring Operation: 19*8=152, Resulting Numbers: [152]
152,40 unequal: No Solution
Exploring Operation: 19+8=27, Resulting Numbers: [27]
27,40 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 40:[19, 18], Operations: ['60-41=19', '13+5=18']
Exploring Operation: 19*18=342, Resulting Numbers: [342]
342,40 unequal: No Solution
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,40 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[41, 13, 12], Operations: ['60/5=12']
Exploring Operation: 13-12=1, Resulting Numbers: [41, 1]
Generated Node #0,1,0: 40:[41, 1] Operation: 13-12=1
Exploring Operation: 41-13=28, Resulting Numbers: [12, 28]
Generated Node #0,1,1: 40:[12, 28] Operation: 41-13=28
Exploring Operation: 13+12=25, Resulting Numbers: [41, 25]
Generated Node #0,1,2: 40:[41, 25] Operation: 13+12=25
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 40:[41, 1], Operations: ['60/5=12', '13-12=1']
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[60, 41, 13, 5], Operations: []
Exploring Operation: 60/5=12, Resulting Numbers: [41, 13, 12]
Generated Node #0,1: 40:[41, 13, 12] Operation: 60/5=12
Moving to Node #0,1
Current State: 40:[41, 13, 12], Operations: ['60/5=12']
Exploring Operation: 13-12=1, Resulting Numbers: [41, 1]
Generated Node #0,1,0: 40:[41, 1] Operation: 13-12=1
Moving to Node #0,1,0
Current State: 40:[41, 1], Operations: ['60/5=12', '13-12=1']
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
35,
20,
27,
51
] | 63 | [
"35-20=15",
"27+51=78",
"78-15=63"
] | Current State: 63:[35, 20, 27, 51], Operations: []
Exploring Operation: 35-20=15, Resulting Numbers: [27, 51, 15]
Generated Node #2: [27, 51, 15] from Operation: 35-20=15
Current State: 63:[27, 51, 15], Operations: ['35-20=15']
Exploring Operation: 27+51=78, Resulting Numbers: [15, 78]
Generated Node #3: [15, 78] from Operation: 27+51=78
Current State: 63:[15, 78], Operations: ['35-20=15', '27+51=78']
Exploring Operation: 78-15=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[35, 20, 27, 51], Operations: []
Exploring Operation: 35+27=62, Resulting Numbers: [20, 51, 62]
Generated Node #0,0: 63:[20, 51, 62] Operation: 35+27=62
Exploring Operation: 51-35=16, Resulting Numbers: [20, 27, 16]
Generated Node #0,1: 63:[20, 27, 16] Operation: 51-35=16
Moving to Node #0,1
Current State: 63:[20, 27, 16], Operations: ['51-35=16']
Exploring Operation: 27-20=7, Resulting Numbers: [16, 7]
Generated Node #0,1,0: 63:[16, 7] Operation: 27-20=7
Exploring Operation: 27-16=11, Resulting Numbers: [20, 11]
Generated Node #0,1,1: 63:[20, 11] Operation: 27-16=11
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 63:[20, 11], Operations: ['51-35=16', '27-16=11']
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,63 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 63:[16, 7], Operations: ['51-35=16', '27-20=7']
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,63 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 63:[20, 51, 62], Operations: ['35+27=62']
Exploring Operation: 20+51=71, Resulting Numbers: [62, 71]
Generated Node #0,0,0: 63:[62, 71] Operation: 20+51=71
Exploring Operation: 62-51=11, Resulting Numbers: [20, 11]
Generated Node #0,0,1: 63:[20, 11] Operation: 62-51=11
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 63:[20, 11], Operations: ['35+27=62', '62-51=11']
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,63 unequal: No Solution
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[62, 71], Operations: ['35+27=62', '20+51=71']
Exploring Operation: 71-62=9, Resulting Numbers: [9]
9,63 unequal: No Solution
Exploring Operation: 62+71=133, Resulting Numbers: [133]
133,63 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 |
[
97,
52,
93,
83
] | 100 | [
"83-52=31",
"93/31=3",
"97+3=100"
] | Current State: 100:[97, 52, 93, 83], Operations: []
Exploring Operation: 83-52=31, Resulting Numbers: [97, 93, 31]
Generated Node #2: [97, 93, 31] from Operation: 83-52=31
Current State: 100:[97, 93, 31], Operations: ['83-52=31']
Exploring Operation: 93/31=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 93/31=3
Current State: 100:[97, 3], Operations: ['83-52=31', '93/31=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[97, 52, 93, 83], Operations: []
Exploring Operation: 93-83=10, Resulting Numbers: [97, 52, 10]
Generated Node #0,0: 100:[97, 52, 10] Operation: 93-83=10
Exploring Operation: 97-83=14, Resulting Numbers: [52, 93, 14]
Generated Node #0,1: 100:[52, 93, 14] Operation: 97-83=14
Moving to Node #0,0
Current State: 100:[97, 52, 10], Operations: ['93-83=10']
Exploring Operation: 97-52=45, Resulting Numbers: [10, 45]
Generated Node #0,0,0: 100:[10, 45] Operation: 97-52=45
Exploring Operation: 97+10=107, Resulting Numbers: [52, 107]
Generated Node #0,0,1: 100:[52, 107] Operation: 97+10=107
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[10, 45], Operations: ['93-83=10', '97-52=45']
Exploring Operation: 10+45=55, Resulting Numbers: [55]
55,100 unequal: No Solution
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 100:[52, 107], Operations: ['93-83=10', '97+10=107']
Exploring Operation: 107-52=55, Resulting Numbers: [55]
55,100 unequal: No Solution
Exploring Operation: 52+107=159, Resulting Numbers: [159]
159,100 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: 100:[52, 93, 14], Operations: ['97-83=14']
Exploring Operation: 93-52=41, Resulting Numbers: [14, 41]
Generated Node #0,1,0: 100:[14, 41] Operation: 93-52=41
Exploring Operation: 93+14=107, Resulting Numbers: [52, 107]
Generated Node #0,1,1: 100:[52, 107] Operation: 93+14=107
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 100:[52, 107], Operations: ['97-83=14', '93+14=107']
Exploring Operation: 107-52=55, Resulting Numbers: [55]
55,100 unequal: No Solution
Exploring Operation: 52+107=159, Resulting Numbers: [159]
159,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[14, 41], Operations: ['97-83=14', '93-52=41']
Exploring Operation: 14+41=55, Resulting Numbers: [55]
55,100 unequal: No Solution
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
2,
9,
80,
80
] | 71 | [
"2*80=160",
"9+80=89",
"160-89=71"
] | Current State: 71:[2, 9, 80, 80], Operations: []
Exploring Operation: 2*80=160, Resulting Numbers: [9, 160]
Generated Node #2: [9, 160] from Operation: 2*80=160
Current State: 71:[9, 160], Operations: ['2*80=160']
Exploring Operation: 9+80=89, Resulting Numbers: [160, 89]
Generated Node #3: [160, 89] from Operation: 9+80=89
Current State: 71:[160, 89], Operations: ['2*80=160', '9+80=89']
Exploring Operation: 160-89=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[2, 9, 80, 80], Operations: []
Exploring Operation: 80-9=71, Resulting Numbers: [2, 80, 71]
Generated Node #0,0: 71:[2, 80, 71] Operation: 80-9=71
Exploring Operation: 2*9=18, Resulting Numbers: [80, 80, 18]
Generated Node #0,1: 71:[80, 80, 18] Operation: 2*9=18
Exploring Operation: 2+9=11, Resulting Numbers: [80, 80, 11]
Generated Node #0,2: 71:[80, 80, 11] Operation: 2+9=11
Exploring Operation: 80-2=78, Resulting Numbers: [9, 80, 78]
Generated Node #0,3: 71:[9, 80, 78] Operation: 80-2=78
Exploring Operation: 80-2=78, Resulting Numbers: [9, 80, 78]
Generated Node #0,4: 71:[9, 80, 78] Operation: 80-2=78
Moving to Node #0,1
Current State: 71:[80, 80, 18], Operations: ['2*9=18']
Exploring Operation: 80/80=1, Resulting Numbers: [18, 1]
Generated Node #0,1,0: 71:[18, 1] Operation: 80/80=1
Exploring Operation: 80-18=62, Resulting Numbers: [80, 62]
Generated Node #0,1,1: 71:[80, 62] Operation: 80-18=62
Exploring Operation: 80+18=98, Resulting Numbers: [80, 98]
Generated Node #0,1,2: 71:[80, 98] Operation: 80+18=98
Exploring Operation: 80+18=98, Resulting Numbers: [80, 98]
Generated Node #0,1,3: 71:[80, 98] Operation: 80+18=98
Exploring Operation: 80-18=62, Resulting Numbers: [80, 62]
Generated Node #0,1,4: 71:[80, 62] Operation: 80-18=62
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[80, 62], Operations: ['2*9=18', '80-18=62']
Exploring Operation: 80-62=18, Resulting Numbers: [18]
18,71 unequal: No Solution
Exploring Operation: 80*62=4960, Resulting Numbers: [4960]
4960,71 unequal: No Solution
Exploring Operation: 80+62=142, Resulting Numbers: [142]
142,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 71:[80, 62], Operations: ['2*9=18', '80-18=62']
Exploring Operation: 80+62=142, Resulting Numbers: [142]
142,71 unequal: No Solution
Exploring Operation: 80*62=4960, Resulting Numbers: [4960]
4960,71 unequal: No Solution
Exploring Operation: 80-62=18, Resulting Numbers: [18]
18,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 71:[80, 98], Operations: ['2*9=18', '80+18=98']
Exploring Operation: 80+98=178, Resulting Numbers: [178]
178,71 unequal: No Solution
Exploring Operation: 98-80=18, Resulting Numbers: [18]
18,71 unequal: No Solution
Exploring Operation: 80*98=7840, Resulting Numbers: [7840]
7840,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 71:[80, 98], Operations: ['2*9=18', '80+18=98']
Exploring Operation: 98-80=18, Resulting Numbers: [18]
18,71 unequal: No Solution
Exploring Operation: 80+98=178, Resulting Numbers: [178]
178,71 unequal: No Solution
Exploring Operation: 80*98=7840, Resulting Numbers: [7840]
7840,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[18, 1], Operations: ['2*9=18', '80/80=1']
Exploring Operation: 18/1=18, Resulting Numbers: [18]
18,71 unequal: No Solution
Exploring Operation: 18+1=19, Resulting Numbers: [19]
19,71 unequal: No Solution
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,71 unequal: No Solution
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,71 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: 71:[80, 80, 11], Operations: ['2+9=11']
Exploring Operation: 80+11=91, Resulting Numbers: [80, 91]
Generated Node #0,2,0: 71:[80, 91] Operation: 80+11=91
Exploring Operation: 80-11=69, Resulting Numbers: [80, 69]
Generated Node #0,2,1: 71:[80, 69] Operation: 80-11=69
Exploring Operation: 80-11=69, Resulting Numbers: [80, 69]
Generated Node #0,2,2: 71:[80, 69] Operation: 80-11=69
Exploring Operation: 80/80=1, Resulting Numbers: [11, 1]
Generated Node #0,2,3: 71:[11, 1] Operation: 80/80=1
Exploring Operation: 80+11=91, Resulting Numbers: [80, 91]
Generated Node #0,2,4: 71:[80, 91] Operation: 80+11=91
Moving to Node #0,4
Current State: 71:[9, 80, 78], Operations: ['80-2=78']
Exploring Operation: 78-9=69, Resulting Numbers: [80, 69]
Generated Node #0,4,0: 71:[80, 69] Operation: 78-9=69
Exploring Operation: 9+78=87, Resulting Numbers: [80, 87]
Generated Node #0,4,1: 71:[80, 87] Operation: 9+78=87
Exploring Operation: 9+80=89, Resulting Numbers: [78, 89]
Generated Node #0,4,2: 71:[78, 89] Operation: 9+80=89
Exploring Operation: 80-9=71, Resulting Numbers: [78, 71]
Generated Node #0,4,3: 71:[78, 71] Operation: 80-9=71
Exploring Operation: 80-78=2, Resulting Numbers: [9, 2]
Generated Node #0,4,4: 71:[9, 2] Operation: 80-78=2
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 71:[78, 71], Operations: ['80-2=78', '80-9=71']
Exploring Operation: 78+71=149, Resulting Numbers: [149]
149,71 unequal: No Solution
Exploring Operation: 78-71=7, Resulting Numbers: [7]
7,71 unequal: No Solution
Exploring Operation: 78*71=5538, Resulting Numbers: [5538]
5538,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 71:[80, 69], Operations: ['80-2=78', '78-9=69']
Exploring Operation: 80*69=5520, Resulting Numbers: [5520]
5520,71 unequal: No Solution
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Exploring Operation: 80+69=149, Resulting Numbers: [149]
149,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 71:[80, 87], Operations: ['80-2=78', '9+78=87']
Exploring Operation: 87-80=7, Resulting Numbers: [7]
7,71 unequal: No Solution
Exploring Operation: 80+87=167, Resulting Numbers: [167]
167,71 unequal: No Solution
Exploring Operation: 80*87=6960, Resulting Numbers: [6960]
6960,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 71:[78, 89], Operations: ['80-2=78', '9+80=89']
Exploring Operation: 78*89=6942, Resulting Numbers: [6942]
6942,71 unequal: No Solution
Exploring Operation: 78+89=167, Resulting Numbers: [167]
167,71 unequal: No Solution
Exploring Operation: 89-78=11, Resulting Numbers: [11]
11,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 71:[9, 2], Operations: ['80-2=78', '80-78=2']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,71 unequal: No Solution
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,71 unequal: No Solution
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 71:[2, 80, 71], Operations: ['80-9=71']
Exploring Operation: 2+80=82, Resulting Numbers: [71, 82]
Generated Node #0,0,0: 71:[71, 82] Operation: 2+80=82
Exploring Operation: 71-2=69, Resulting Numbers: [80, 69]
Generated Node #0,0,1: 71:[80, 69] Operation: 71-2=69
Exploring Operation: 80/2=40, Resulting Numbers: [71, 40]
Generated Node #0,0,2: 71:[71, 40] Operation: 80/2=40
Exploring Operation: 80-2=78, Resulting Numbers: [71, 78]
Generated Node #0,0,3: 71:[71, 78] Operation: 80-2=78
Exploring Operation: 2+71=73, Resulting Numbers: [80, 73]
Generated Node #0,0,4: 71:[80, 73] Operation: 2+71=73
Moving to Node #0,3
Current State: 71:[9, 80, 78], Operations: ['80-2=78']
Exploring Operation: 9+80=89, Resulting Numbers: [78, 89]
Generated Node #0,3,0: 71:[78, 89] Operation: 9+80=89
Exploring Operation: 78-9=69, Resulting Numbers: [80, 69]
Generated Node #0,3,1: 71:[80, 69] Operation: 78-9=69
Exploring Operation: 80-9=71, Resulting Numbers: [78, 71]
Generated Node #0,3,2: 71:[78, 71] Operation: 80-9=71
Exploring Operation: 80-78=2, Resulting Numbers: [9, 2]
Generated Node #0,3,3: 71:[9, 2] Operation: 80-78=2
Exploring Operation: 9+78=87, Resulting Numbers: [80, 87]
Generated Node #0,3,4: 71:[80, 87] Operation: 9+78=87
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 71:[78, 71], Operations: ['80-2=78', '80-9=71']
Exploring Operation: 78-71=7, Resulting Numbers: [7]
7,71 unequal: No Solution
Exploring Operation: 78*71=5538, Resulting Numbers: [5538]
5538,71 unequal: No Solution
Exploring Operation: 78+71=149, Resulting Numbers: [149]
149,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 71:[80, 69], Operations: ['80-2=78', '78-9=69']
Exploring Operation: 80+69=149, Resulting Numbers: [149]
149,71 unequal: No Solution
Exploring Operation: 80*69=5520, Resulting Numbers: [5520]
5520,71 unequal: No Solution
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 71:[78, 89], Operations: ['80-2=78', '9+80=89']
Exploring Operation: 89-78=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Exploring Operation: 78+89=167, Resulting Numbers: [167]
167,71 unequal: No Solution
Exploring Operation: 78*89=6942, Resulting Numbers: [6942]
6942,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 71:[80, 87], Operations: ['80-2=78', '9+78=87']
Exploring Operation: 80*87=6960, Resulting Numbers: [6960]
6960,71 unequal: No Solution
Exploring Operation: 87-80=7, Resulting Numbers: [7]
7,71 unequal: No Solution
Exploring Operation: 80+87=167, Resulting Numbers: [167]
167,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 71:[9, 2], Operations: ['80-2=78', '80-78=2']
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,71 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 71:[71, 78], Operations: ['80-9=71', '80-2=78']
Exploring Operation: 71*78=5538, Resulting Numbers: [5538]
5538,71 unequal: No Solution
Exploring Operation: 78-71=7, Resulting Numbers: [7]
7,71 unequal: No Solution
Exploring Operation: 71+78=149, Resulting Numbers: [149]
149,71 unequal: No Solution
Moving to Node #0,2,1
Current State: 71:[80, 69], Operations: ['2+9=11', '80-11=69']
Exploring Operation: 80+69=149, Resulting Numbers: [149]
149,71 unequal: No Solution
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Exploring Operation: 80*69=5520, Resulting Numbers: [5520]
5520,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[71, 82], Operations: ['80-9=71', '2+80=82']
Exploring Operation: 71*82=5822, Resulting Numbers: [5822]
5822,71 unequal: No Solution
Exploring Operation: 82-71=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Exploring Operation: 71+82=153, Resulting Numbers: [153]
153,71 unequal: No Solution
Moving to Node #0,0,4
Current State: 71:[80, 73], Operations: ['80-9=71', '2+71=73']
Exploring Operation: 80-73=7, Resulting Numbers: [7]
7,71 unequal: No Solution
Exploring Operation: 80*73=5840, Resulting Numbers: [5840]
5840,71 unequal: No Solution
Exploring Operation: 80+73=153, Resulting Numbers: [153]
153,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[80, 69], Operations: ['2+9=11', '80-11=69']
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Exploring Operation: 80+69=149, Resulting Numbers: [149]
149,71 unequal: No Solution
Exploring Operation: 80*69=5520, Resulting Numbers: [5520]
5520,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[80, 69], Operations: ['80-9=71', '71-2=69']
Exploring Operation: 80+69=149, Resulting Numbers: [149]
149,71 unequal: No Solution
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Exploring Operation: 80*69=5520, Resulting Numbers: [5520]
5520,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[80, 91], Operations: ['2+9=11', '80+11=91']
Exploring Operation: 80*91=7280, Resulting Numbers: [7280]
7280,71 unequal: No Solution
Exploring Operation: 91-80=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Exploring Operation: 80+91=171, Resulting Numbers: [171]
171,71 unequal: No Solution
Moving to Node #0,2,4
Current State: 71:[80, 91], Operations: ['2+9=11', '80+11=91']
Exploring Operation: 80+91=171, Resulting Numbers: [171]
171,71 unequal: No Solution
Exploring Operation: 91-80=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Exploring Operation: 80*91=7280, Resulting Numbers: [7280]
7280,71 unequal: No Solution
Moving to Node #0,0,2
Current State: 71:[71, 40], Operations: ['80-9=71', '80/2=40']
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,71 unequal: No Solution
Exploring Operation: 71+40=111, Resulting Numbers: [111]
111,71 unequal: No Solution
Exploring Operation: 71*40=2840, Resulting Numbers: [2840]
2840,71 unequal: No Solution
Moving to Node #0,2,3
Current State: 71:[11, 1], Operations: ['2+9=11', '80/80=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,71 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,71 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
6,
90,
36,
38
] | 48 | [
"6+90=96",
"38-36=2",
"96/2=48"
] | Current State: 48:[6, 90, 36, 38], Operations: []
Exploring Operation: 6+90=96, Resulting Numbers: [36, 38, 96]
Generated Node #2: [36, 38, 96] from Operation: 6+90=96
Current State: 48:[36, 38, 96], Operations: ['6+90=96']
Exploring Operation: 38-36=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 38-36=2
Current State: 48:[96, 2], Operations: ['6+90=96', '38-36=2']
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[6, 90, 36, 38], Operations: []
Exploring Operation: 90-36=54, Resulting Numbers: [6, 38, 54]
Generated Node #0,0: 48:[6, 38, 54] Operation: 90-36=54
Moving to Node #0,0
Current State: 48:[6, 38, 54], Operations: ['90-36=54']
Exploring Operation: 54-38=16, Resulting Numbers: [6, 16]
Generated Node #0,0,0: 48:[6, 16] Operation: 54-38=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[6, 16], Operations: ['90-36=54', '54-38=16']
Exploring Operation: 6+16=22, Resulting Numbers: [22]
22,48 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 |
[
66,
75,
85,
26
] | 68 | [
"75-66=9",
"85-26=59",
"9+59=68"
] | Current State: 68:[66, 75, 85, 26], Operations: []
Exploring Operation: 75-66=9, Resulting Numbers: [85, 26, 9]
Generated Node #2: [85, 26, 9] from Operation: 75-66=9
Current State: 68:[85, 26, 9], Operations: ['75-66=9']
Exploring Operation: 85-26=59, Resulting Numbers: [9, 59]
Generated Node #3: [9, 59] from Operation: 85-26=59
Current State: 68:[9, 59], Operations: ['75-66=9', '85-26=59']
Exploring Operation: 9+59=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[66, 75, 85, 26], Operations: []
Exploring Operation: 85-26=59, Resulting Numbers: [66, 75, 59]
Generated Node #0,0: 68:[66, 75, 59] Operation: 85-26=59
Exploring Operation: 85-66=19, Resulting Numbers: [75, 26, 19]
Generated Node #0,1: 68:[75, 26, 19] Operation: 85-66=19
Exploring Operation: 85-75=10, Resulting Numbers: [66, 26, 10]
Generated Node #0,2: 68:[66, 26, 10] Operation: 85-75=10
Start Sub Search at level 1: Moving to Node #0,2
Current State: 68:[66, 26, 10], Operations: ['85-75=10']
Exploring Operation: 26-10=16, Resulting Numbers: [66, 16]
Generated Node #0,2,0: 68:[66, 16] Operation: 26-10=16
Exploring Operation: 66-26=40, Resulting Numbers: [10, 40]
Generated Node #0,2,1: 68:[10, 40] Operation: 66-26=40
Exploring Operation: 26+10=36, Resulting Numbers: [66, 36]
Generated Node #0,2,2: 68:[66, 36] Operation: 26+10=36
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 68:[66, 16], Operations: ['85-75=10', '26-10=16']
Exploring Operation: 66-16=50, Resulting Numbers: [50]
50,68 unequal: No Solution
Exploring Operation: 66+16=82, Resulting Numbers: [82]
82,68 unequal: No Solution
Exploring Operation: 66*16=1056, Resulting Numbers: [1056]
1056,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 68:[66, 36], Operations: ['85-75=10', '26+10=36']
Exploring Operation: 66*36=2376, Resulting Numbers: [2376]
2376,68 unequal: No Solution
Exploring Operation: 66-36=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 66+36=102, Resulting Numbers: [102]
102,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 68:[10, 40], Operations: ['85-75=10', '66-26=40']
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 10+40=50, Resulting Numbers: [50]
50,68 unequal: No Solution
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[75, 26, 19], Operations: ['85-66=19']
Exploring Operation: 75-26=49, Resulting Numbers: [19, 49]
Generated Node #0,1,0: 68:[19, 49] Operation: 75-26=49
Exploring Operation: 26+19=45, Resulting Numbers: [75, 45]
Generated Node #0,1,1: 68:[75, 45] Operation: 26+19=45
Exploring Operation: 26-19=7, Resulting Numbers: [75, 7]
Generated Node #0,1,2: 68:[75, 7] Operation: 26-19=7
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 68:[75, 7], Operations: ['85-66=19', '26-19=7']
Exploring Operation: 75*7=525, Resulting Numbers: [525]
525,68 unequal: No Solution
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[66, 75, 85, 26], Operations: []
Exploring Operation: 85-66=19, Resulting Numbers: [75, 26, 19]
Generated Node #0,1: 68:[75, 26, 19] Operation: 85-66=19
Moving to Node #0,1
Current State: 68:[75, 26, 19], Operations: ['85-66=19']
Exploring Operation: 26-19=7, Resulting Numbers: [75, 7]
Generated Node #0,1,2: 68:[75, 7] Operation: 26-19=7
Moving to Node #0,1,2
Current State: 68:[75, 7], Operations: ['85-66=19', '26-19=7']
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.979167 | hs_3 | sum_heuristic |
[
32,
56,
7,
11
] | 92 | [
"32+56=88",
"11-7=4",
"88+4=92"
] | Current State: 92:[32, 56, 7, 11], Operations: []
Exploring Operation: 32+56=88, Resulting Numbers: [7, 11, 88]
Generated Node #2: [7, 11, 88] from Operation: 32+56=88
Current State: 92:[7, 11, 88], Operations: ['32+56=88']
Exploring Operation: 11-7=4, Resulting Numbers: [88, 4]
Generated Node #3: [88, 4] from Operation: 11-7=4
Current State: 92:[88, 4], Operations: ['32+56=88', '11-7=4']
Exploring Operation: 88+4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[32, 56, 7, 11], Operations: []
Exploring Operation: 32+56=88, Resulting Numbers: [7, 11, 88]
Generated Node #0,0: 92:[7, 11, 88] Operation: 32+56=88
Exploring Operation: 56-11=45, Resulting Numbers: [32, 7, 45]
Generated Node #0,1: 92:[32, 7, 45] Operation: 56-11=45
Exploring Operation: 32-11=21, Resulting Numbers: [56, 7, 21]
Generated Node #0,2: 92:[56, 7, 21] Operation: 32-11=21
Exploring Operation: 32+11=43, Resulting Numbers: [56, 7, 43]
Generated Node #0,3: 92:[56, 7, 43] Operation: 32+11=43
Exploring Operation: 56-32=24, Resulting Numbers: [7, 11, 24]
Generated Node #0,4: 92:[7, 11, 24] Operation: 56-32=24
Moving to Node #0,4
Current State: 92:[7, 11, 24], Operations: ['56-32=24']
Exploring Operation: 11-7=4, Resulting Numbers: [24, 4]
Generated Node #0,4,0: 92:[24, 4] Operation: 11-7=4
Exploring Operation: 24-7=17, Resulting Numbers: [11, 17]
Generated Node #0,4,1: 92:[11, 17] Operation: 24-7=17
Exploring Operation: 7+11=18, Resulting Numbers: [24, 18]
Generated Node #0,4,2: 92:[24, 18] Operation: 7+11=18
Exploring Operation: 24-11=13, Resulting Numbers: [7, 13]
Generated Node #0,4,3: 92:[7, 13] Operation: 24-11=13
Exploring Operation: 11+24=35, Resulting Numbers: [7, 35]
Generated Node #0,4,4: 92:[7, 35] Operation: 11+24=35
Moving to Node #0,1
Current State: 92:[32, 7, 45], Operations: ['56-11=45']
Exploring Operation: 45-32=13, Resulting Numbers: [7, 13]
Generated Node #0,1,0: 92:[7, 13] Operation: 45-32=13
Exploring Operation: 7+45=52, Resulting Numbers: [32, 52]
Generated Node #0,1,1: 92:[32, 52] Operation: 7+45=52
Exploring Operation: 45-7=38, Resulting Numbers: [32, 38]
Generated Node #0,1,2: 92:[32, 38] Operation: 45-7=38
Exploring Operation: 32-7=25, Resulting Numbers: [45, 25]
Generated Node #0,1,3: 92:[45, 25] Operation: 32-7=25
Exploring Operation: 32+7=39, Resulting Numbers: [45, 39]
Generated Node #0,1,4: 92:[45, 39] Operation: 32+7=39
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 92:[45, 25], Operations: ['56-11=45', '32-7=25']
Exploring Operation: 45*25=1125, Resulting Numbers: [1125]
1125,92 unequal: No Solution
Exploring Operation: 45+25=70, Resulting Numbers: [70]
70,92 unequal: No Solution
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,92 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 #0,1,4
Current State: 92:[45, 39], Operations: ['56-11=45', '32+7=39']
Exploring Operation: 45+39=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 45*39=1755, Resulting Numbers: [1755]
1755,92 unequal: No Solution
Exploring Operation: 45-39=6, Resulting Numbers: [6]
6,92 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 #0,1,0
Current State: 92:[7, 13], Operations: ['56-11=45', '45-32=13']
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,92 unequal: No Solution
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,92 unequal: No Solution
Exploring Operation: 7*13=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 #0,1,1
Current State: 92:[32, 52], Operations: ['56-11=45', '7+45=52']
Exploring Operation: 32*52=1664, Resulting Numbers: [1664]
1664,92 unequal: No Solution
Exploring Operation: 32+52=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,92 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 #0,1,2
Current State: 92:[32, 38], Operations: ['56-11=45', '45-7=38']
Exploring Operation: 32*38=1216, Resulting Numbers: [1216]
1216,92 unequal: No Solution
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,92 unequal: No Solution
Exploring Operation: 32+38=70, Resulting Numbers: [70]
70,92 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: 92:[7, 11, 88], Operations: ['32+56=88']
Exploring Operation: 11-7=4, Resulting Numbers: [88, 4]
Generated Node #0,0,0: 92:[88, 4] Operation: 11-7=4
Exploring Operation: 11+88=99, Resulting Numbers: [7, 99]
Generated Node #0,0,1: 92:[7, 99] Operation: 11+88=99
Exploring Operation: 7+88=95, Resulting Numbers: [11, 95]
Generated Node #0,0,2: 92:[11, 95] Operation: 7+88=95
Exploring Operation: 88/11=8, Resulting Numbers: [7, 8]
Generated Node #0,0,3: 92:[7, 8] Operation: 88/11=8
Exploring Operation: 7+11=18, Resulting Numbers: [88, 18]
Generated Node #0,0,4: 92:[88, 18] Operation: 7+11=18
Moving to Node #0,2
Current State: 92:[56, 7, 21], Operations: ['32-11=21']
Exploring Operation: 21/7=3, Resulting Numbers: [56, 3]
Generated Node #0,2,0: 92:[56, 3] Operation: 21/7=3
Exploring Operation: 56/7=8, Resulting Numbers: [21, 8]
Generated Node #0,2,1: 92:[21, 8] Operation: 56/7=8
Exploring Operation: 7+21=28, Resulting Numbers: [56, 28]
Generated Node #0,2,2: 92:[56, 28] Operation: 7+21=28
Exploring Operation: 56-21=35, Resulting Numbers: [7, 35]
Generated Node #0,2,3: 92:[7, 35] Operation: 56-21=35
Exploring Operation: 56-7=49, Resulting Numbers: [21, 49]
Generated Node #0,2,4: 92:[21, 49] Operation: 56-7=49
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 92:[21, 49], Operations: ['32-11=21', '56-7=49']
Exploring Operation: 21*49=1029, Resulting Numbers: [1029]
1029,92 unequal: No Solution
Exploring Operation: 49-21=28, Resulting Numbers: [28]
28,92 unequal: No Solution
Exploring Operation: 21+49=70, Resulting Numbers: [70]
70,92 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 #0,2,1
Current State: 92:[21, 8], Operations: ['32-11=21', '56/7=8']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,92 unequal: No Solution
Exploring Operation: 21+8=29, Resulting Numbers: [29]
29,92 unequal: No Solution
Exploring Operation: 21*8=168, Resulting Numbers: [168]
168,92 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 #0,2,0
Current State: 92:[56, 3], Operations: ['32-11=21', '21/7=3']
Exploring Operation: 56*3=168, Resulting Numbers: [168]
168,92 unequal: No Solution
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,92 unequal: No Solution
Exploring Operation: 56+3=59, Resulting Numbers: [59]
59,92 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 #0,2,3
Current State: 92:[7, 35], Operations: ['32-11=21', '56-21=35']
Exploring Operation: 7*35=245, Resulting Numbers: [245]
245,92 unequal: No Solution
Exploring Operation: 35/7=5, Resulting Numbers: [5]
5,92 unequal: No Solution
Exploring Operation: 7+35=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,92 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 #0,2,2
Current State: 92:[56, 28], Operations: ['32-11=21', '7+21=28']
Exploring Operation: 56+28=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 56-28=28, Resulting Numbers: [28]
28,92 unequal: No Solution
Exploring Operation: 56/28=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 56*28=1568, Resulting Numbers: [1568]
1568,92 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:[56, 7, 43], Operations: ['32+11=43']
Exploring Operation: 56-43=13, Resulting Numbers: [7, 13]
Generated Node #0,3,0: 92:[7, 13] Operation: 56-43=13
Exploring Operation: 56+43=99, Resulting Numbers: [7, 99]
Generated Node #0,3,1: 92:[7, 99] Operation: 56+43=99
Exploring Operation: 56/7=8, Resulting Numbers: [43, 8]
Generated Node #0,3,2: 92:[43, 8] Operation: 56/7=8
Exploring Operation: 56-7=49, Resulting Numbers: [43, 49]
Generated Node #0,3,3: 92:[43, 49] Operation: 56-7=49
Exploring Operation: 7+43=50, Resulting Numbers: [56, 50]
Generated Node #0,3,4: 92:[56, 50] Operation: 7+43=50
Moving to Node #0,4,0
Current State: 92:[24, 4], Operations: ['56-32=24', '11-7=4']
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,92 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,92 unequal: No Solution
Exploring Operation: 24*4=96, Resulting Numbers: [96]
96,92 unequal: No Solution
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[88, 4], Operations: ['32+56=88', '11-7=4']
Exploring Operation: 88+4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[32, 56, 7, 11], Operations: []
Exploring Operation: 32+56=88, Resulting Numbers: [7, 11, 88]
Generated Node #0,0: 92:[7, 11, 88] Operation: 32+56=88
Moving to Node #0,0
Current State: 92:[7, 11, 88], Operations: ['32+56=88']
Exploring Operation: 11-7=4, Resulting Numbers: [88, 4]
Generated Node #0,0,0: 92:[88, 4] Operation: 11-7=4
Moving to Node #0,0,0
Current State: 92:[88, 4], Operations: ['32+56=88', '11-7=4']
Exploring Operation: 88+4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 0.938368 | hs_5 | sum_heuristic |
[
69,
23,
27,
70
] | 94 | [
"69/23=3",
"27+70=97",
"97-3=94"
] | Current State: 94:[69, 23, 27, 70], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [27, 70, 3]
Generated Node #2: [27, 70, 3] from Operation: 69/23=3
Current State: 94:[27, 70, 3], Operations: ['69/23=3']
Exploring Operation: 27+70=97, Resulting Numbers: [3, 97]
Generated Node #3: [3, 97] from Operation: 27+70=97
Current State: 94:[3, 97], Operations: ['69/23=3', '27+70=97']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[69, 23, 27, 70], Operations: []
Exploring Operation: 69-23=46, Resulting Numbers: [27, 70, 46]
Generated Node #0,0: 94:[27, 70, 46] Operation: 69-23=46
Exploring Operation: 70-23=47, Resulting Numbers: [69, 27, 47]
Generated Node #0,1: 94:[69, 27, 47] Operation: 70-23=47
Exploring Operation: 70-69=1, Resulting Numbers: [23, 27, 1]
Generated Node #0,2: 94:[23, 27, 1] Operation: 70-69=1
Exploring Operation: 23+70=93, Resulting Numbers: [69, 27, 93]
Generated Node #0,3: 94:[69, 27, 93] Operation: 23+70=93
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[69, 27, 47], Operations: ['70-23=47']
Exploring Operation: 47-27=20, Resulting Numbers: [69, 20]
Generated Node #0,1,0: 94:[69, 20] Operation: 47-27=20
Exploring Operation: 69-27=42, Resulting Numbers: [47, 42]
Generated Node #0,1,1: 94:[47, 42] Operation: 69-27=42
Exploring Operation: 69+27=96, Resulting Numbers: [47, 96]
Generated Node #0,1,2: 94:[47, 96] Operation: 69+27=96
Exploring Operation: 69-47=22, Resulting Numbers: [27, 22]
Generated Node #0,1,3: 94:[27, 22] Operation: 69-47=22
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 94:[47, 96], Operations: ['70-23=47', '69+27=96']
Exploring Operation: 47+96=143, Resulting Numbers: [143]
143,94 unequal: No Solution
Exploring Operation: 47*96=4512, Resulting Numbers: [4512]
4512,94 unequal: No Solution
Exploring Operation: 96-47=49, Resulting Numbers: [49]
49,94 unequal: No Solution
No 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: 94:[47, 42], Operations: ['70-23=47', '69-27=42']
Exploring Operation: 47*42=1974, Resulting Numbers: [1974]
1974,94 unequal: No Solution
Exploring Operation: 47-42=5, Resulting Numbers: [5]
5,94 unequal: No Solution
Exploring Operation: 47+42=89, Resulting Numbers: [89]
89,94 unequal: No Solution
No 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: 94:[69, 20], Operations: ['70-23=47', '47-27=20']
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,94 unequal: No Solution
Exploring Operation: 69+20=89, Resulting Numbers: [89]
89,94 unequal: No Solution
Exploring Operation: 69*20=1380, Resulting Numbers: [1380]
1380,94 unequal: No Solution
No 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: 94:[27, 22], Operations: ['70-23=47', '69-47=22']
Exploring Operation: 27*22=594, Resulting Numbers: [594]
594,94 unequal: No Solution
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,94 unequal: No Solution
Exploring Operation: 27+22=49, Resulting Numbers: [49]
49,94 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: 94:[23, 27, 1], Operations: ['70-69=1']
Exploring Operation: 27+1=28, Resulting Numbers: [23, 28]
Generated Node #0,2,0: 94:[23, 28] Operation: 27+1=28
Exploring Operation: 27-23=4, Resulting Numbers: [1, 4]
Generated Node #0,2,1: 94:[1, 4] Operation: 27-23=4
Exploring Operation: 23-1=22, Resulting Numbers: [27, 22]
Generated Node #0,2,2: 94:[27, 22] Operation: 23-1=22
Exploring Operation: 23+27=50, Resulting Numbers: [1, 50]
Generated Node #0,2,3: 94:[1, 50] Operation: 23+27=50
Moving to Node #0,2,1
Current State: 94:[1, 4], Operations: ['70-69=1', '27-23=4']
Exploring Operation: 1+4=5, Resulting Numbers: [5]
5,94 unequal: No Solution
Exploring Operation: 1*4=4, Resulting Numbers: [4]
4,94 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,94 unequal: No Solution
Moving to Node #0,2,3
Current State: 94:[1, 50], Operations: ['70-69=1', '23+27=50']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,94 unequal: No Solution
Exploring Operation: 1*50=50, Resulting Numbers: [50]
50,94 unequal: No Solution
Exploring Operation: 50/1=50, Resulting Numbers: [50]
50,94 unequal: No Solution
Exploring Operation: 1+50=51, Resulting Numbers: [51]
51,94 unequal: No Solution
Moving to Node #0,2,2
Current State: 94:[27, 22], Operations: ['70-69=1', '23-1=22']
Exploring Operation: 27+22=49, Resulting Numbers: [49]
49,94 unequal: No Solution
Exploring Operation: 27*22=594, Resulting Numbers: [594]
594,94 unequal: No Solution
Exploring Operation: 27-22=5, Resulting Numbers: [5]
5,94 unequal: No Solution
Moving to Node #0,2,0
Current State: 94:[23, 28], Operations: ['70-69=1', '27+1=28']
Exploring Operation: 23*28=644, Resulting Numbers: [644]
644,94 unequal: No Solution
Exploring Operation: 28-23=5, Resulting Numbers: [5]
5,94 unequal: No Solution
Exploring Operation: 23+28=51, Resulting Numbers: [51]
51,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 94:[69, 27, 93], Operations: ['23+70=93']
Exploring Operation: 69-27=42, Resulting Numbers: [93, 42]
Generated Node #0,3,0: 94:[93, 42] Operation: 69-27=42
Exploring Operation: 93-27=66, Resulting Numbers: [69, 66]
Generated Node #0,3,1: 94:[69, 66] Operation: 93-27=66
Exploring Operation: 93-69=24, Resulting Numbers: [27, 24]
Generated Node #0,3,2: 94:[27, 24] Operation: 93-69=24
Exploring Operation: 69+27=96, Resulting Numbers: [93, 96]
Generated Node #0,3,3: 94:[93, 96] Operation: 69+27=96
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 94:[93, 96], Operations: ['23+70=93', '69+27=96']
Exploring Operation: 96-93=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 93*96=8928, Resulting Numbers: [8928]
8928,94 unequal: No Solution
Exploring Operation: 93+96=189, Resulting Numbers: [189]
189,94 unequal: No Solution
No 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: 94:[93, 42], Operations: ['23+70=93', '69-27=42']
Exploring Operation: 93+42=135, Resulting Numbers: [135]
135,94 unequal: No Solution
Exploring Operation: 93-42=51, Resulting Numbers: [51]
51,94 unequal: No Solution
Exploring Operation: 93*42=3906, Resulting Numbers: [3906]
3906,94 unequal: No Solution
No 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: 94:[69, 66], Operations: ['23+70=93', '93-27=66']
Exploring Operation: 69*66=4554, Resulting Numbers: [4554]
4554,94 unequal: No Solution
Exploring Operation: 69+66=135, Resulting Numbers: [135]
135,94 unequal: No Solution
Exploring Operation: 69-66=3, Resulting Numbers: [3]
3,94 unequal: No Solution
No 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: 94:[27, 24], Operations: ['23+70=93', '93-69=24']
Exploring Operation: 27-24=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 27+24=51, Resulting Numbers: [51]
51,94 unequal: No Solution
Exploring Operation: 27*24=648, Resulting Numbers: [648]
648,94 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: 94:[27, 70, 46], Operations: ['69-23=46']
Exploring Operation: 70+46=116, Resulting Numbers: [27, 116]
Generated Node #0,0,0: 94:[27, 116] Operation: 70+46=116
Exploring Operation: 27+70=97, Resulting Numbers: [46, 97]
Generated Node #0,0,1: 94:[46, 97] Operation: 27+70=97
Exploring Operation: 70-27=43, Resulting Numbers: [46, 43]
Generated Node #0,0,2: 94:[46, 43] Operation: 70-27=43
Exploring Operation: 46-27=19, Resulting Numbers: [70, 19]
Generated Node #0,0,3: 94:[70, 19] Operation: 46-27=19
Moving to Node #0,0,1
Current State: 94:[46, 97], Operations: ['69-23=46', '27+70=97']
Exploring Operation: 46+97=143, Resulting Numbers: [143]
143,94 unequal: No Solution
Exploring Operation: 46*97=4462, Resulting Numbers: [4462]
4462,94 unequal: No Solution
Exploring Operation: 97-46=51, Resulting Numbers: [51]
51,94 unequal: No Solution
Moving to Node #0,0,2
Current State: 94:[46, 43], Operations: ['69-23=46', '70-27=43']
Exploring Operation: 46-43=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 46+43=89, Resulting Numbers: [89]
89,94 unequal: No Solution
Exploring Operation: 46*43=1978, Resulting Numbers: [1978]
1978,94 unequal: No Solution
Moving to Node #0,0,3
Current State: 94:[70, 19], Operations: ['69-23=46', '46-27=19']
Exploring Operation: 70+19=89, Resulting Numbers: [89]
89,94 unequal: No Solution
Exploring Operation: 70-19=51, Resulting Numbers: [51]
51,94 unequal: No Solution
Exploring Operation: 70*19=1330, Resulting Numbers: [1330]
1330,94 unequal: No Solution
Moving to Node #0,0,0
Current State: 94:[27, 116], Operations: ['69-23=46', '70+46=116']
Exploring Operation: 27+116=143, Resulting Numbers: [143]
143,94 unequal: No Solution
Exploring Operation: 27*116=3132, Resulting Numbers: [3132]
3132,94 unequal: No Solution
Exploring Operation: 116-27=89, Resulting Numbers: [89]
89,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
47,
87,
7,
10
] | 37 | [
"87-47=40",
"10-7=3",
"40-3=37"
] | Current State: 37:[47, 87, 7, 10], Operations: []
Exploring Operation: 87-47=40, Resulting Numbers: [7, 10, 40]
Generated Node #2: [7, 10, 40] from Operation: 87-47=40
Current State: 37:[7, 10, 40], Operations: ['87-47=40']
Exploring Operation: 10-7=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 10-7=3
Current State: 37:[40, 3], Operations: ['87-47=40', '10-7=3']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[47, 87, 7, 10], Operations: []
Exploring Operation: 87-47=40, Resulting Numbers: [7, 10, 40]
Generated Node #0,0: 37:[7, 10, 40] Operation: 87-47=40
Exploring Operation: 47-7=40, Resulting Numbers: [87, 10, 40]
Generated Node #0,1: 37:[87, 10, 40] Operation: 47-7=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[7, 10, 40], Operations: ['87-47=40']
Exploring Operation: 40-7=33, Resulting Numbers: [10, 33]
Generated Node #0,0,0: 37:[10, 33] Operation: 40-7=33
Exploring Operation: 7+10=17, Resulting Numbers: [40, 17]
Generated Node #0,0,1: 37:[40, 17] Operation: 7+10=17
Moving to Node #0,0,1
Current State: 37:[40, 17], Operations: ['87-47=40', '7+10=17']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 40+17=57, Resulting Numbers: [57]
57,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[10, 33], Operations: ['87-47=40', '40-7=33']
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,37 unequal: No Solution
Exploring Operation: 10+33=43, Resulting Numbers: [43]
43,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[87, 10, 40], Operations: ['47-7=40']
Exploring Operation: 87-40=47, Resulting Numbers: [10, 47]
Generated Node #0,1,0: 37:[10, 47] Operation: 87-40=47
Exploring Operation: 87-10=77, Resulting Numbers: [40, 77]
Generated Node #0,1,1: 37:[40, 77] Operation: 87-10=77
Moving to Node #0,1,0
Current State: 37:[10, 47], Operations: ['47-7=40', '87-40=47']
Exploring Operation: 10+47=57, Resulting Numbers: [57]
57,37 unequal: No Solution
Exploring Operation: 47-10=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[47, 87, 7, 10], Operations: []
Exploring Operation: 47-7=40, Resulting Numbers: [87, 10, 40]
Generated Node #0,1: 37:[87, 10, 40] Operation: 47-7=40
Moving to Node #0,1
Current State: 37:[87, 10, 40], Operations: ['47-7=40']
Exploring Operation: 87-40=47, Resulting Numbers: [10, 47]
Generated Node #0,1,0: 37:[10, 47] Operation: 87-40=47
Moving to Node #0,1,0
Current State: 37:[10, 47], Operations: ['47-7=40', '87-40=47']
Exploring Operation: 47-10=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
13,
11,
89,
12
] | 83 | [
"13-11=2",
"12/2=6",
"89-6=83"
] | Current State: 83:[13, 11, 89, 12], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [89, 12, 2]
Generated Node #2: [89, 12, 2] from Operation: 13-11=2
Current State: 83:[89, 12, 2], Operations: ['13-11=2']
Exploring Operation: 12/2=6, Resulting Numbers: [89, 6]
Generated Node #3: [89, 6] from Operation: 12/2=6
Current State: 83:[89, 6], Operations: ['13-11=2', '12/2=6']
Exploring Operation: 89-6=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[13, 11, 89, 12], Operations: []
Exploring Operation: 13+12=25, Resulting Numbers: [11, 89, 25]
Generated Node #0,0: 83:[11, 89, 25] Operation: 13+12=25
Exploring Operation: 11+12=23, Resulting Numbers: [13, 89, 23]
Generated Node #0,1: 83:[13, 89, 23] Operation: 11+12=23
Exploring Operation: 13*11=143, Resulting Numbers: [89, 12, 143]
Generated Node #0,2: 83:[89, 12, 143] Operation: 13*11=143
Exploring Operation: 13+11=24, Resulting Numbers: [89, 12, 24]
Generated Node #0,3: 83:[89, 12, 24] Operation: 13+11=24
Exploring Operation: 11*12=132, Resulting Numbers: [13, 89, 132]
Generated Node #0,4: 83:[13, 89, 132] Operation: 11*12=132
Start Sub Search at level 1: Moving to Node #0,4
Current State: 83:[13, 89, 132], Operations: ['11*12=132']
Exploring Operation: 132-13=119, Resulting Numbers: [89, 119]
Generated Node #0,4,0: 83:[89, 119] Operation: 132-13=119
Exploring Operation: 132-89=43, Resulting Numbers: [13, 43]
Generated Node #0,4,1: 83:[13, 43] Operation: 132-89=43
Exploring Operation: 89-13=76, Resulting Numbers: [132, 76]
Generated Node #0,4,2: 83:[132, 76] Operation: 89-13=76
Exploring Operation: 13+89=102, Resulting Numbers: [132, 102]
Generated Node #0,4,3: 83:[132, 102] Operation: 13+89=102
Exploring Operation: 13+132=145, Resulting Numbers: [89, 145]
Generated Node #0,4,4: 83:[89, 145] Operation: 13+132=145
Moving to Node #0,4,0
Current State: 83:[89, 119], Operations: ['11*12=132', '132-13=119']
Exploring Operation: 119-89=30, Resulting Numbers: [30]
30,83 unequal: No Solution
Exploring Operation: 89+119=208, Resulting Numbers: [208]
208,83 unequal: No Solution
Exploring Operation: 89*119=10591, Resulting Numbers: [10591]
10591,83 unequal: No Solution
Moving to Node #0,4,2
Current State: 83:[132, 76], Operations: ['11*12=132', '89-13=76']
Exploring Operation: 132-76=56, Resulting Numbers: [56]
56,83 unequal: No Solution
Exploring Operation: 132+76=208, Resulting Numbers: [208]
208,83 unequal: No Solution
Exploring Operation: 132*76=10032, Resulting Numbers: [10032]
10032,83 unequal: No Solution
Moving to Node #0,4,3
Current State: 83:[132, 102], Operations: ['11*12=132', '13+89=102']
Exploring Operation: 132+102=234, Resulting Numbers: [234]
234,83 unequal: No Solution
Exploring Operation: 132*102=13464, Resulting Numbers: [13464]
13464,83 unequal: No Solution
Exploring Operation: 132-102=30, Resulting Numbers: [30]
30,83 unequal: No Solution
Moving to Node #0,4,4
Current State: 83:[89, 145], Operations: ['11*12=132', '13+132=145']
Exploring Operation: 89*145=12905, Resulting Numbers: [12905]
12905,83 unequal: No Solution
Exploring Operation: 89+145=234, Resulting Numbers: [234]
234,83 unequal: No Solution
Exploring Operation: 145-89=56, Resulting Numbers: [56]
56,83 unequal: No Solution
Moving to Node #0,4,1
Current State: 83:[13, 43], Operations: ['11*12=132', '132-89=43']
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,83 unequal: No Solution
Exploring Operation: 13*43=559, Resulting Numbers: [559]
559,83 unequal: No Solution
Exploring Operation: 13+43=56, Resulting Numbers: [56]
56,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[11, 89, 25], Operations: ['13+12=25']
Exploring Operation: 11+89=100, Resulting Numbers: [25, 100]
Generated Node #0,0,0: 83:[25, 100] Operation: 11+89=100
Exploring Operation: 25-11=14, Resulting Numbers: [89, 14]
Generated Node #0,0,1: 83:[89, 14] Operation: 25-11=14
Exploring Operation: 89-11=78, Resulting Numbers: [25, 78]
Generated Node #0,0,2: 83:[25, 78] Operation: 89-11=78
Exploring Operation: 89-25=64, Resulting Numbers: [11, 64]
Generated Node #0,0,3: 83:[11, 64] Operation: 89-25=64
Exploring Operation: 11+25=36, Resulting Numbers: [89, 36]
Generated Node #0,0,4: 83:[89, 36] Operation: 11+25=36
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 83:[89, 36], Operations: ['13+12=25', '11+25=36']
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 89*36=3204, Resulting Numbers: [3204]
3204,83 unequal: No Solution
Exploring Operation: 89+36=125, Resulting Numbers: [125]
125,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 83:[25, 78], Operations: ['13+12=25', '89-11=78']
Exploring Operation: 25+78=103, Resulting Numbers: [103]
103,83 unequal: No Solution
Exploring Operation: 25*78=1950, Resulting Numbers: [1950]
1950,83 unequal: No Solution
Exploring Operation: 78-25=53, Resulting Numbers: [53]
53,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[25, 100], Operations: ['13+12=25', '11+89=100']
Exploring Operation: 100-25=75, Resulting Numbers: [75]
75,83 unequal: No Solution
Exploring Operation: 100/25=4, Resulting Numbers: [4]
4,83 unequal: No Solution
Exploring Operation: 25*100=2500, Resulting Numbers: [2500]
2500,83 unequal: No Solution
Exploring Operation: 25+100=125, Resulting Numbers: [125]
125,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[89, 14], Operations: ['13+12=25', '25-11=14']
Exploring Operation: 89-14=75, Resulting Numbers: [75]
75,83 unequal: No Solution
Exploring Operation: 89*14=1246, Resulting Numbers: [1246]
1246,83 unequal: No Solution
Exploring Operation: 89+14=103, Resulting Numbers: [103]
103,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 83:[11, 64], Operations: ['13+12=25', '89-25=64']
Exploring Operation: 11*64=704, Resulting Numbers: [704]
704,83 unequal: No Solution
Exploring Operation: 11+64=75, Resulting Numbers: [75]
75,83 unequal: No Solution
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[13, 89, 23], Operations: ['11+12=23']
Exploring Operation: 13+89=102, Resulting Numbers: [23, 102]
Generated Node #0,1,0: 83:[23, 102] Operation: 13+89=102
Exploring Operation: 89-23=66, Resulting Numbers: [13, 66]
Generated Node #0,1,1: 83:[13, 66] Operation: 89-23=66
Exploring Operation: 89-13=76, Resulting Numbers: [23, 76]
Generated Node #0,1,2: 83:[23, 76] Operation: 89-13=76
Exploring Operation: 23-13=10, Resulting Numbers: [89, 10]
Generated Node #0,1,3: 83:[89, 10] Operation: 23-13=10
Exploring Operation: 13+23=36, Resulting Numbers: [89, 36]
Generated Node #0,1,4: 83:[89, 36] Operation: 13+23=36
Moving to Node #0,1,4
Current State: 83:[89, 36], Operations: ['11+12=23', '13+23=36']
Exploring Operation: 89+36=125, Resulting Numbers: [125]
125,83 unequal: No Solution
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 89*36=3204, Resulting Numbers: [3204]
3204,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[23, 76], Operations: ['11+12=23', '89-13=76']
Exploring Operation: 23+76=99, Resulting Numbers: [99]
99,83 unequal: No Solution
Exploring Operation: 23*76=1748, Resulting Numbers: [1748]
1748,83 unequal: No Solution
Exploring Operation: 76-23=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[23, 102], Operations: ['11+12=23', '13+89=102']
Exploring Operation: 102-23=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 23*102=2346, Resulting Numbers: [2346]
2346,83 unequal: No Solution
Exploring Operation: 23+102=125, Resulting Numbers: [125]
125,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[89, 10], Operations: ['11+12=23', '23-13=10']
Exploring Operation: 89*10=890, Resulting Numbers: [890]
890,83 unequal: No Solution
Exploring Operation: 89+10=99, Resulting Numbers: [99]
99,83 unequal: No Solution
Exploring Operation: 89-10=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[13, 66], Operations: ['11+12=23', '89-23=66']
Exploring Operation: 13*66=858, Resulting Numbers: [858]
858,83 unequal: No Solution
Exploring Operation: 13+66=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 66-13=53, Resulting Numbers: [53]
53,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[89, 12, 24], Operations: ['13+11=24']
Exploring Operation: 12+24=36, Resulting Numbers: [89, 36]
Generated Node #0,3,0: 83:[89, 36] Operation: 12+24=36
Exploring Operation: 24-12=12, Resulting Numbers: [89, 12]
Generated Node #0,3,1: 83:[89, 12] Operation: 24-12=12
Exploring Operation: 24/12=2, Resulting Numbers: [89, 2]
Generated Node #0,3,2: 83:[89, 2] Operation: 24/12=2
Exploring Operation: 89+12=101, Resulting Numbers: [24, 101]
Generated Node #0,3,3: 83:[24, 101] Operation: 89+12=101
Exploring Operation: 89-12=77, Resulting Numbers: [24, 77]
Generated Node #0,3,4: 83:[24, 77] Operation: 89-12=77
Moving to Node #0,3,0
Current State: 83:[89, 36], Operations: ['13+11=24', '12+24=36']
Exploring Operation: 89+36=125, Resulting Numbers: [125]
125,83 unequal: No Solution
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 89*36=3204, Resulting Numbers: [3204]
3204,83 unequal: No Solution
Moving to Node #0,3,4
Current State: 83:[24, 77], Operations: ['13+11=24', '89-12=77']
Exploring Operation: 24*77=1848, Resulting Numbers: [1848]
1848,83 unequal: No Solution
Exploring Operation: 77-24=53, Resulting Numbers: [53]
53,83 unequal: No Solution
Exploring Operation: 24+77=101, Resulting Numbers: [101]
101,83 unequal: No Solution
Moving to Node #0,3,1
Current State: 83:[89, 12], Operations: ['13+11=24', '24-12=12']
Exploring Operation: 89*12=1068, Resulting Numbers: [1068]
1068,83 unequal: No Solution
Exploring Operation: 89+12=101, Resulting Numbers: [101]
101,83 unequal: No Solution
Exploring Operation: 89-12=77, Resulting Numbers: [77]
77,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[24, 101], Operations: ['13+11=24', '89+12=101']
Exploring Operation: 24*101=2424, Resulting Numbers: [2424]
2424,83 unequal: No Solution
Exploring Operation: 101-24=77, Resulting Numbers: [77]
77,83 unequal: No Solution
Exploring Operation: 24+101=125, Resulting Numbers: [125]
125,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[89, 2], Operations: ['13+11=24', '24/12=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,83 unequal: No Solution
Exploring Operation: 89*2=178, Resulting Numbers: [178]
178,83 unequal: No Solution
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[89, 12, 143], Operations: ['13*11=143']
Exploring Operation: 89+12=101, Resulting Numbers: [143, 101]
Generated Node #0,2,0: 83:[143, 101] Operation: 89+12=101
Exploring Operation: 143-12=131, Resulting Numbers: [89, 131]
Generated Node #0,2,1: 83:[89, 131] Operation: 143-12=131
Exploring Operation: 12+143=155, Resulting Numbers: [89, 155]
Generated Node #0,2,2: 83:[89, 155] Operation: 12+143=155
Exploring Operation: 143-89=54, Resulting Numbers: [12, 54]
Generated Node #0,2,3: 83:[12, 54] Operation: 143-89=54
Exploring Operation: 89-12=77, Resulting Numbers: [143, 77]
Generated Node #0,2,4: 83:[143, 77] Operation: 89-12=77
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 83:[89, 131], Operations: ['13*11=143', '143-12=131']
Exploring Operation: 131-89=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Exploring Operation: 89+131=220, Resulting Numbers: [220]
220,83 unequal: No Solution
Exploring Operation: 89*131=11659, Resulting Numbers: [11659]
11659,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 83:[143, 77], Operations: ['13*11=143', '89-12=77']
Exploring Operation: 143*77=11011, Resulting Numbers: [11011]
11011,83 unequal: No Solution
Exploring Operation: 143-77=66, Resulting Numbers: [66]
66,83 unequal: No Solution
Exploring Operation: 143+77=220, Resulting Numbers: [220]
220,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 83:[143, 101], Operations: ['13*11=143', '89+12=101']
Exploring Operation: 143+101=244, Resulting Numbers: [244]
244,83 unequal: No Solution
Exploring Operation: 143-101=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Exploring Operation: 143*101=14443, Resulting Numbers: [14443]
14443,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 83:[89, 155], Operations: ['13*11=143', '12+143=155']
Exploring Operation: 155-89=66, Resulting Numbers: [66]
66,83 unequal: No Solution
Exploring Operation: 89*155=13795, Resulting Numbers: [13795]
13795,83 unequal: No Solution
Exploring Operation: 89+155=244, Resulting Numbers: [244]
244,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 83:[12, 54], Operations: ['13*11=143', '143-89=54']
Exploring Operation: 54-12=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Exploring Operation: 12+54=66, Resulting Numbers: [66]
66,83 unequal: No Solution
Exploring Operation: 12*54=648, Resulting Numbers: [648]
648,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
94,
19,
56,
38
] | 95 | [
"94+19=113",
"56-38=18",
"113-18=95"
] | Current State: 95:[94, 19, 56, 38], Operations: []
Exploring Operation: 94+19=113, Resulting Numbers: [56, 38, 113]
Generated Node #2: [56, 38, 113] from Operation: 94+19=113
Current State: 95:[56, 38, 113], Operations: ['94+19=113']
Exploring Operation: 56-38=18, Resulting Numbers: [113, 18]
Generated Node #3: [113, 18] from Operation: 56-38=18
Current State: 95:[113, 18], Operations: ['94+19=113', '56-38=18']
Exploring Operation: 113-18=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[94, 19, 56, 38], Operations: []
Exploring Operation: 56+38=94, Resulting Numbers: [94, 19, 94]
Generated Node #0,0: 95:[94, 19, 94] Operation: 56+38=94
Exploring Operation: 56-38=18, Resulting Numbers: [94, 19, 18]
Generated Node #0,1: 95:[94, 19, 18] Operation: 56-38=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[94, 19, 94], Operations: ['56+38=94']
Exploring Operation: 94-94=0, Resulting Numbers: [19, 0]
Generated Node #0,0,0: 95:[19, 0] Operation: 94-94=0
Exploring Operation: 94/94=1, Resulting Numbers: [19, 1]
Generated Node #0,0,1: 95:[19, 1] Operation: 94/94=1
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 95:[19, 1], Operations: ['56+38=94', '94/94=1']
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,95 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,95 unequal: No Solution
No 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: 95:[19, 0], Operations: ['56+38=94', '94-94=0']
Exploring Operation: 19-0=19, Resulting Numbers: [19]
19,95 unequal: No Solution
Exploring Operation: 19+0=19, Resulting Numbers: [19]
19,95 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: 95:[94, 19, 18], Operations: ['56-38=18']
Exploring Operation: 19-18=1, Resulting Numbers: [94, 1]
Generated Node #0,1,0: 95:[94, 1] Operation: 19-18=1
Exploring Operation: 94+18=112, Resulting Numbers: [19, 112]
Generated Node #0,1,1: 95:[19, 112] Operation: 94+18=112
Moving to Node #0,1,0
Current State: 95:[94, 1], Operations: ['56-38=18', '19-18=1']
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,95 unequal: No Solution
Exploring Operation: 94+1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[94, 19, 56, 38], Operations: []
Exploring Operation: 56-38=18, Resulting Numbers: [94, 19, 18]
Generated Node #0,1: 95:[94, 19, 18] Operation: 56-38=18
Moving to Node #0,1
Current State: 95:[94, 19, 18], Operations: ['56-38=18']
Exploring Operation: 19-18=1, Resulting Numbers: [94, 1]
Generated Node #0,1,0: 95:[94, 1] Operation: 19-18=1
Moving to Node #0,1,0
Current State: 95:[94, 1], Operations: ['56-38=18', '19-18=1']
Exploring Operation: 94+1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
30,
45,
86,
92
] | 40 | [
"92-86=6",
"30/6=5",
"45-5=40"
] | Current State: 40:[30, 45, 86, 92], Operations: []
Exploring Operation: 92-86=6, Resulting Numbers: [30, 45, 6]
Generated Node #2: [30, 45, 6] from Operation: 92-86=6
Current State: 40:[30, 45, 6], Operations: ['92-86=6']
Exploring Operation: 30/6=5, Resulting Numbers: [45, 5]
Generated Node #3: [45, 5] from Operation: 30/6=5
Current State: 40:[45, 5], Operations: ['92-86=6', '30/6=5']
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[30, 45, 86, 92], Operations: []
Exploring Operation: 92-86=6, Resulting Numbers: [30, 45, 6]
Generated Node #0,0: 40:[30, 45, 6] Operation: 92-86=6
Exploring Operation: 92-30=62, Resulting Numbers: [45, 86, 62]
Generated Node #0,1: 40:[45, 86, 62] Operation: 92-30=62
Exploring Operation: 92-45=47, Resulting Numbers: [30, 86, 47]
Generated Node #0,2: 40:[30, 86, 47] Operation: 92-45=47
Exploring Operation: 86-30=56, Resulting Numbers: [45, 92, 56]
Generated Node #0,3: 40:[45, 92, 56] Operation: 86-30=56
Exploring Operation: 86-45=41, Resulting Numbers: [30, 92, 41]
Generated Node #0,4: 40:[30, 92, 41] Operation: 86-45=41
Moving to Node #0,0
Current State: 40:[30, 45, 6], Operations: ['92-86=6']
Exploring Operation: 45-30=15, Resulting Numbers: [6, 15]
Generated Node #0,0,0: 40:[6, 15] Operation: 45-30=15
Exploring Operation: 30+6=36, Resulting Numbers: [45, 36]
Generated Node #0,0,1: 40:[45, 36] Operation: 30+6=36
Exploring Operation: 45-6=39, Resulting Numbers: [30, 39]
Generated Node #0,0,2: 40:[30, 39] Operation: 45-6=39
Exploring Operation: 30-6=24, Resulting Numbers: [45, 24]
Generated Node #0,0,3: 40:[45, 24] Operation: 30-6=24
Exploring Operation: 30/6=5, Resulting Numbers: [45, 5]
Generated Node #0,0,4: 40:[45, 5] Operation: 30/6=5
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 40:[45, 5], Operations: ['92-86=6', '30/6=5']
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[30, 45, 86, 92], Operations: []
Exploring Operation: 92-86=6, Resulting Numbers: [30, 45, 6]
Generated Node #0,0: 40:[30, 45, 6] Operation: 92-86=6
Moving to Node #0,0
Current State: 40:[30, 45, 6], Operations: ['92-86=6']
Exploring Operation: 30/6=5, Resulting Numbers: [45, 5]
Generated Node #0,0,4: 40:[45, 5] Operation: 30/6=5
Moving to Node #0,0,4
Current State: 40:[45, 5], Operations: ['92-86=6', '30/6=5']
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
81,
42,
16,
1
] | 37 | [
"81-1=80",
"80/16=5",
"42-5=37"
] | Current State: 37:[81, 42, 16, 1], Operations: []
Exploring Operation: 81-1=80, Resulting Numbers: [42, 16, 80]
Generated Node #2: [42, 16, 80] from Operation: 81-1=80
Current State: 37:[42, 16, 80], Operations: ['81-1=80']
Exploring Operation: 80/16=5, Resulting Numbers: [42, 5]
Generated Node #3: [42, 5] from Operation: 80/16=5
Current State: 37:[42, 5], Operations: ['81-1=80', '80/16=5']
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[81, 42, 16, 1], Operations: []
Exploring Operation: 81-42=39, Resulting Numbers: [16, 1, 39]
Generated Node #0,0: 37:[16, 1, 39] Operation: 81-42=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[16, 1, 39], Operations: ['81-42=39']
Exploring Operation: 16+1=17, Resulting Numbers: [39, 17]
Generated Node #0,0,0: 37:[39, 17] Operation: 16+1=17
Moving to Node #0,0,0
Current State: 37:[39, 17], Operations: ['81-42=39', '16+1=17']
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,37 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 |
[
15,
82,
70,
1
] | 28 | [
"15+82=97",
"70-1=69",
"97-69=28"
] | Current State: 28:[15, 82, 70, 1], Operations: []
Exploring Operation: 15+82=97, Resulting Numbers: [70, 1, 97]
Generated Node #2: [70, 1, 97] from Operation: 15+82=97
Current State: 28:[70, 1, 97], Operations: ['15+82=97']
Exploring Operation: 70-1=69, Resulting Numbers: [97, 69]
Generated Node #3: [97, 69] from Operation: 70-1=69
Current State: 28:[97, 69], Operations: ['15+82=97', '70-1=69']
Exploring Operation: 97-69=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[15, 82, 70, 1], Operations: []
Exploring Operation: 82-15=67, Resulting Numbers: [70, 1, 67]
Generated Node #0,0: 28:[70, 1, 67] Operation: 82-15=67
Exploring Operation: 70-15=55, Resulting Numbers: [82, 1, 55]
Generated Node #0,1: 28:[82, 1, 55] Operation: 70-15=55
Exploring Operation: 15-1=14, Resulting Numbers: [82, 70, 14]
Generated Node #0,2: 28:[82, 70, 14] Operation: 15-1=14
Exploring Operation: 82-70=12, Resulting Numbers: [15, 1, 12]
Generated Node #0,3: 28:[15, 1, 12] Operation: 82-70=12
Exploring Operation: 82-1=81, Resulting Numbers: [15, 70, 81]
Generated Node #0,4: 28:[15, 70, 81] Operation: 82-1=81
Start Sub Search at level 1: Moving to Node #0,3
Current State: 28:[15, 1, 12], Operations: ['82-70=12']
Exploring Operation: 15+12=27, Resulting Numbers: [1, 27]
Generated Node #0,3,0: 28:[1, 27] Operation: 15+12=27
Exploring Operation: 15*1=15, Resulting Numbers: [12, 15]
Generated Node #0,3,1: 28:[12, 15] Operation: 15*1=15
Exploring Operation: 15-1=14, Resulting Numbers: [12, 14]
Generated Node #0,3,2: 28:[12, 14] Operation: 15-1=14
Exploring Operation: 1+12=13, Resulting Numbers: [15, 13]
Generated Node #0,3,3: 28:[15, 13] Operation: 1+12=13
Exploring Operation: 15-12=3, Resulting Numbers: [1, 3]
Generated Node #0,3,4: 28:[1, 3] Operation: 15-12=3
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 28:[1, 27], Operations: ['82-70=12', '15+12=27']
Exploring Operation: 1*27=27, Resulting Numbers: [27]
27,28 unequal: No Solution
Exploring Operation: 1+27=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[15, 82, 70, 1], Operations: []
Exploring Operation: 82-70=12, Resulting Numbers: [15, 1, 12]
Generated Node #0,3: 28:[15, 1, 12] Operation: 82-70=12
Moving to Node #0,3
Current State: 28:[15, 1, 12], Operations: ['82-70=12']
Exploring Operation: 15+12=27, Resulting Numbers: [1, 27]
Generated Node #0,3,0: 28:[1, 27] Operation: 15+12=27
Moving to Node #0,3,0
Current State: 28:[1, 27], Operations: ['82-70=12', '15+12=27']
Exploring Operation: 1+27=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
76,
5,
86,
51
] | 91 | [
"76-51=25",
"25/5=5",
"86+5=91"
] | Current State: 91:[76, 5, 86, 51], Operations: []
Exploring Operation: 76-51=25, Resulting Numbers: [5, 86, 25]
Generated Node #2: [5, 86, 25] from Operation: 76-51=25
Current State: 91:[5, 86, 25], Operations: ['76-51=25']
Exploring Operation: 25/5=5, Resulting Numbers: [86, 5]
Generated Node #3: [86, 5] from Operation: 25/5=5
Current State: 91:[86, 5], Operations: ['76-51=25', '25/5=5']
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[76, 5, 86, 51], Operations: []
Exploring Operation: 86-51=35, Resulting Numbers: [76, 5, 35]
Generated Node #0,0: 91:[76, 5, 35] Operation: 86-51=35
Exploring Operation: 76-51=25, Resulting Numbers: [5, 86, 25]
Generated Node #0,1: 91:[5, 86, 25] Operation: 76-51=25
Exploring Operation: 86-76=10, Resulting Numbers: [5, 51, 10]
Generated Node #0,2: 91:[5, 51, 10] Operation: 86-76=10
Exploring Operation: 76+51=127, Resulting Numbers: [5, 86, 127]
Generated Node #0,3: 91:[5, 86, 127] Operation: 76+51=127
Moving to Node #0,1
Current State: 91:[5, 86, 25], Operations: ['76-51=25']
Exploring Operation: 5+86=91, Resulting Numbers: [25, 91]
Generated Node #0,1,0: 91:[25, 91] Operation: 5+86=91
Exploring Operation: 25-5=20, Resulting Numbers: [86, 20]
Generated Node #0,1,1: 91:[86, 20] Operation: 25-5=20
Exploring Operation: 86-5=81, Resulting Numbers: [25, 81]
Generated Node #0,1,2: 91:[25, 81] Operation: 86-5=81
Exploring Operation: 25/5=5, Resulting Numbers: [86, 5]
Generated Node #0,1,3: 91:[86, 5] Operation: 25/5=5
Moving to Node #0,0
Current State: 91:[76, 5, 35], Operations: ['86-51=35']
Exploring Operation: 76+5=81, Resulting Numbers: [35, 81]
Generated Node #0,0,0: 91:[35, 81] Operation: 76+5=81
Exploring Operation: 35/5=7, Resulting Numbers: [76, 7]
Generated Node #0,0,1: 91:[76, 7] Operation: 35/5=7
Exploring Operation: 76-35=41, Resulting Numbers: [5, 41]
Generated Node #0,0,2: 91:[5, 41] Operation: 76-35=41
Exploring Operation: 76+35=111, Resulting Numbers: [5, 111]
Generated Node #0,0,3: 91:[5, 111] Operation: 76+35=111
Moving to Node #0,3
Current State: 91:[5, 86, 127], Operations: ['76+51=127']
Exploring Operation: 86-5=81, Resulting Numbers: [127, 81]
Generated Node #0,3,0: 91:[127, 81] Operation: 86-5=81
Exploring Operation: 127-86=41, Resulting Numbers: [5, 41]
Generated Node #0,3,1: 91:[5, 41] Operation: 127-86=41
Exploring Operation: 127-5=122, Resulting Numbers: [86, 122]
Generated Node #0,3,2: 91:[86, 122] Operation: 127-5=122
Exploring Operation: 5+86=91, Resulting Numbers: [127, 91]
Generated Node #0,3,3: 91:[127, 91] Operation: 5+86=91
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 91:[5, 41], Operations: ['76+51=127', '127-86=41']
Exploring Operation: 5+41=46, Resulting Numbers: [46]
46,91 unequal: No Solution
Exploring Operation: 5*41=205, Resulting Numbers: [205]
205,91 unequal: No Solution
Exploring Operation: 41-5=36, Resulting Numbers: [36]
36,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 91:[86, 122], Operations: ['76+51=127', '127-5=122']
Exploring Operation: 122-86=36, Resulting Numbers: [36]
36,91 unequal: No Solution
Exploring Operation: 86*122=10492, Resulting Numbers: [10492]
10492,91 unequal: No Solution
Exploring Operation: 86+122=208, Resulting Numbers: [208]
208,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 91:[127, 91], Operations: ['76+51=127', '5+86=91']
Exploring Operation: 127+91=218, Resulting Numbers: [218]
218,91 unequal: No Solution
Exploring Operation: 127-91=36, Resulting Numbers: [36]
36,91 unequal: No Solution
Exploring Operation: 127*91=11557, Resulting Numbers: [11557]
11557,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 91:[127, 81], Operations: ['76+51=127', '86-5=81']
Exploring Operation: 127+81=208, Resulting Numbers: [208]
208,91 unequal: No Solution
Exploring Operation: 127*81=10287, Resulting Numbers: [10287]
10287,91 unequal: No Solution
Exploring Operation: 127-81=46, Resulting Numbers: [46]
46,91 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: 91:[5, 51, 10], Operations: ['86-76=10']
Exploring Operation: 5+51=56, Resulting Numbers: [10, 56]
Generated Node #0,2,0: 91:[10, 56] Operation: 5+51=56
Exploring Operation: 51-5=46, Resulting Numbers: [10, 46]
Generated Node #0,2,1: 91:[10, 46] Operation: 51-5=46
Exploring Operation: 51-10=41, Resulting Numbers: [5, 41]
Generated Node #0,2,2: 91:[5, 41] Operation: 51-10=41
Exploring Operation: 51+10=61, Resulting Numbers: [5, 61]
Generated Node #0,2,3: 91:[5, 61] Operation: 51+10=61
Moving to Node #0,1,3
Current State: 91:[86, 5], Operations: ['76-51=25', '25/5=5']
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[76, 5, 86, 51], Operations: []
Exploring Operation: 76-51=25, Resulting Numbers: [5, 86, 25]
Generated Node #0,1: 91:[5, 86, 25] Operation: 76-51=25
Moving to Node #0,1
Current State: 91:[5, 86, 25], Operations: ['76-51=25']
Exploring Operation: 25/5=5, Resulting Numbers: [86, 5]
Generated Node #0,1,3: 91:[86, 5] Operation: 25/5=5
Moving to Node #0,1,3
Current State: 91:[86, 5], Operations: ['76-51=25', '25/5=5']
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 0.967882 | hs_4 | mult_heuristic |
[
80,
30,
56,
38
] | 44 | [
"80-30=50",
"56+38=94",
"94-50=44"
] | Current State: 44:[80, 30, 56, 38], Operations: []
Exploring Operation: 80-30=50, Resulting Numbers: [56, 38, 50]
Generated Node #2: [56, 38, 50] from Operation: 80-30=50
Current State: 44:[56, 38, 50], Operations: ['80-30=50']
Exploring Operation: 56+38=94, Resulting Numbers: [50, 94]
Generated Node #3: [50, 94] from Operation: 56+38=94
Current State: 44:[50, 94], Operations: ['80-30=50', '56+38=94']
Exploring Operation: 94-50=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[80, 30, 56, 38], Operations: []
Exploring Operation: 80-38=42, Resulting Numbers: [30, 56, 42]
Generated Node #0,0: 44:[30, 56, 42] Operation: 80-38=42
Exploring Operation: 80-56=24, Resulting Numbers: [30, 38, 24]
Generated Node #0,1: 44:[30, 38, 24] Operation: 80-56=24
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[30, 38, 24], Operations: ['80-56=24']
Exploring Operation: 30-24=6, Resulting Numbers: [38, 6]
Generated Node #0,1,0: 44:[38, 6] Operation: 30-24=6
Exploring Operation: 38-30=8, Resulting Numbers: [24, 8]
Generated Node #0,1,1: 44:[24, 8] Operation: 38-30=8
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 44:[24, 8], Operations: ['80-56=24', '38-30=8']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 44:[38, 6], Operations: ['80-56=24', '30-24=6']
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[80, 30, 56, 38], Operations: []
Exploring Operation: 80-56=24, Resulting Numbers: [30, 38, 24]
Generated Node #0,1: 44:[30, 38, 24] Operation: 80-56=24
Moving to Node #0,1
Current State: 44:[30, 38, 24], Operations: ['80-56=24']
Exploring Operation: 30-24=6, Resulting Numbers: [38, 6]
Generated Node #0,1,0: 44:[38, 6] Operation: 30-24=6
Moving to Node #0,1,0
Current State: 44:[38, 6], Operations: ['80-56=24', '30-24=6']
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
14,
48,
62,
82
] | 64 | [
"14+82=96",
"96/48=2",
"62+2=64"
] | Current State: 64:[14, 48, 62, 82], Operations: []
Exploring Operation: 14+82=96, Resulting Numbers: [48, 62, 96]
Generated Node #2: [48, 62, 96] from Operation: 14+82=96
Current State: 64:[48, 62, 96], Operations: ['14+82=96']
Exploring Operation: 96/48=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 96/48=2
Current State: 64:[62, 2], Operations: ['14+82=96', '96/48=2']
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[14, 48, 62, 82], Operations: []
Exploring Operation: 82-48=34, Resulting Numbers: [14, 62, 34]
Generated Node #0,0: 64:[14, 62, 34] Operation: 82-48=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[14, 62, 34], Operations: ['82-48=34']
Exploring Operation: 34-14=20, Resulting Numbers: [62, 20]
Generated Node #0,0,0: 64:[62, 20] Operation: 34-14=20
Moving to Node #0,0,0
Current State: 64:[62, 20], Operations: ['82-48=34', '34-14=20']
Exploring Operation: 62-20=42, Resulting Numbers: [42]
42,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
65,
76,
5,
75
] | 81 | [
"76-65=11",
"75-5=70",
"11+70=81"
] | Current State: 81:[65, 76, 5, 75], Operations: []
Exploring Operation: 76-65=11, Resulting Numbers: [5, 75, 11]
Generated Node #2: [5, 75, 11] from Operation: 76-65=11
Current State: 81:[5, 75, 11], Operations: ['76-65=11']
Exploring Operation: 75-5=70, Resulting Numbers: [11, 70]
Generated Node #3: [11, 70] from Operation: 75-5=70
Current State: 81:[11, 70], Operations: ['76-65=11', '75-5=70']
Exploring Operation: 11+70=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[65, 76, 5, 75], Operations: []
Exploring Operation: 76-65=11, Resulting Numbers: [5, 75, 11]
Generated Node #0,0: 81:[5, 75, 11] Operation: 76-65=11
Exploring Operation: 75-65=10, Resulting Numbers: [76, 5, 10]
Generated Node #0,1: 81:[76, 5, 10] Operation: 75-65=10
Exploring Operation: 65/5=13, Resulting Numbers: [76, 75, 13]
Generated Node #0,2: 81:[76, 75, 13] Operation: 65/5=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[76, 5, 10], Operations: ['75-65=10']
Exploring Operation: 10/5=2, Resulting Numbers: [76, 2]
Generated Node #0,1,0: 81:[76, 2] Operation: 10/5=2
Exploring Operation: 76+10=86, Resulting Numbers: [5, 86]
Generated Node #0,1,1: 81:[5, 86] Operation: 76+10=86
Exploring Operation: 76+5=81, Resulting Numbers: [10, 81]
Generated Node #0,1,2: 81:[10, 81] Operation: 76+5=81
Moving to Node #0,1,2
Current State: 81:[10, 81], Operations: ['75-65=10', '76+5=81']
Exploring Operation: 10*81=810, Resulting Numbers: [810]
810,81 unequal: No Solution
Exploring Operation: 81-10=71, Resulting Numbers: [71]
71,81 unequal: No Solution
Exploring Operation: 10+81=91, Resulting Numbers: [91]
91,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[76, 2], Operations: ['75-65=10', '10/5=2']
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,81 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,81 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[5, 86], Operations: ['75-65=10', '76+10=86']
Exploring Operation: 5+86=91, Resulting Numbers: [91]
91,81 unequal: No Solution
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[65, 76, 5, 75], Operations: []
Exploring Operation: 75-65=10, Resulting Numbers: [76, 5, 10]
Generated Node #0,1: 81:[76, 5, 10] Operation: 75-65=10
Moving to Node #0,1
Current State: 81:[76, 5, 10], Operations: ['75-65=10']
Exploring Operation: 76+10=86, Resulting Numbers: [5, 86]
Generated Node #0,1,1: 81:[5, 86] Operation: 76+10=86
Moving to Node #0,1,1
Current State: 81:[5, 86], Operations: ['75-65=10', '76+10=86']
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
70,
87,
6,
2
] | 28 | [
"87-70=17",
"2*17=34",
"34-6=28"
] | Current State: 28:[70, 87, 6, 2], Operations: []
Exploring Operation: 87-70=17, Resulting Numbers: [6, 2, 17]
Generated Node #2: [6, 2, 17] from Operation: 87-70=17
Current State: 28:[6, 2, 17], Operations: ['87-70=17']
Exploring Operation: 2*17=34, Resulting Numbers: [6, 34]
Generated Node #3: [6, 34] from Operation: 2*17=34
Current State: 28:[6, 34], Operations: ['87-70=17', '2*17=34']
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[70, 87, 6, 2], Operations: []
Exploring Operation: 70/2=35, Resulting Numbers: [87, 6, 35]
Generated Node #0,0: 28:[87, 6, 35] Operation: 70/2=35
Exploring Operation: 87-70=17, Resulting Numbers: [6, 2, 17]
Generated Node #0,1: 28:[6, 2, 17] Operation: 87-70=17
Moving to Node #0,1
Current State: 28:[6, 2, 17], Operations: ['87-70=17']
Exploring Operation: 17-2=15, Resulting Numbers: [6, 15]
Generated Node #0,1,0: 28:[6, 15] Operation: 17-2=15
Exploring Operation: 6-2=4, Resulting Numbers: [17, 4]
Generated Node #0,1,1: 28:[17, 4] Operation: 6-2=4
Moving to Node #0,0
Current State: 28:[87, 6, 35], Operations: ['70/2=35']
Exploring Operation: 87-35=52, Resulting Numbers: [6, 52]
Generated Node #0,0,0: 28:[6, 52] Operation: 87-35=52
Exploring Operation: 87-6=81, Resulting Numbers: [35, 81]
Generated Node #0,0,1: 28:[35, 81] Operation: 87-6=81
Moving to Node #0,1,0
Current State: 28:[6, 15], Operations: ['87-70=17', '17-2=15']
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,28 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,28 unequal: No Solution
Moving to Node #0,1,1
Current State: 28:[17, 4], Operations: ['87-70=17', '6-2=4']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,28 unequal: No Solution
Moving to Node #0,0,0
Current State: 28:[6, 52], Operations: ['70/2=35', '87-35=52']
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,28 unequal: No Solution
Exploring Operation: 6+52=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[35, 81], Operations: ['70/2=35', '87-6=81']
Exploring Operation: 35+81=116, Resulting Numbers: [116]
116,28 unequal: No Solution
Exploring Operation: 81-35=46, Resulting Numbers: [46]
46,28 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
90,
20,
40,
84
] | 96 | [
"90*40=3600",
"3600/20=180",
"180-84=96"
] | Current State: 96:[90, 20, 40, 84], Operations: []
Exploring Operation: 90*40=3600, Resulting Numbers: [20, 84, 3600]
Generated Node #2: [20, 84, 3600] from Operation: 90*40=3600
Current State: 96:[20, 84, 3600], Operations: ['90*40=3600']
Exploring Operation: 3600/20=180, Resulting Numbers: [84, 180]
Generated Node #3: [84, 180] from Operation: 3600/20=180
Current State: 96:[84, 180], Operations: ['90*40=3600', '3600/20=180']
Exploring Operation: 180-84=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[90, 20, 40, 84], Operations: []
Exploring Operation: 90-84=6, Resulting Numbers: [20, 40, 6]
Generated Node #0,0: 96:[20, 40, 6] Operation: 90-84=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[20, 40, 6], Operations: ['90-84=6']
Exploring Operation: 40/20=2, Resulting Numbers: [6, 2]
Generated Node #0,0,0: 96:[6, 2] Operation: 40/20=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[6, 2], Operations: ['90-84=6', '40/20=2']
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,96 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
No solution found.
| 0 | hs_1 | sum_heuristic |
[
98,
80,
86,
66
] | 26 | [
"98+80=178",
"86+66=152",
"178-152=26"
] | Current State: 26:[98, 80, 86, 66], Operations: []
Exploring Operation: 98+80=178, Resulting Numbers: [86, 66, 178]
Generated Node #2: [86, 66, 178] from Operation: 98+80=178
Current State: 26:[86, 66, 178], Operations: ['98+80=178']
Exploring Operation: 86+66=152, Resulting Numbers: [178, 152]
Generated Node #3: [178, 152] from Operation: 86+66=152
Current State: 26:[178, 152], Operations: ['98+80=178', '86+66=152']
Exploring Operation: 178-152=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[98, 80, 86, 66], Operations: []
Exploring Operation: 98-80=18, Resulting Numbers: [86, 66, 18]
Generated Node #0,0: 26:[86, 66, 18] Operation: 98-80=18
Exploring Operation: 86-80=6, Resulting Numbers: [98, 66, 6]
Generated Node #0,1: 26:[98, 66, 6] Operation: 86-80=6
Exploring Operation: 98-66=32, Resulting Numbers: [80, 86, 32]
Generated Node #0,2: 26:[80, 86, 32] Operation: 98-66=32
Exploring Operation: 98-86=12, Resulting Numbers: [80, 66, 12]
Generated Node #0,3: 26:[80, 66, 12] Operation: 98-86=12
Moving to Node #0,3
Current State: 26:[80, 66, 12], Operations: ['98-86=12']
Exploring Operation: 80-12=68, Resulting Numbers: [66, 68]
Generated Node #0,3,0: 26:[66, 68] Operation: 80-12=68
Exploring Operation: 80-66=14, Resulting Numbers: [12, 14]
Generated Node #0,3,1: 26:[12, 14] Operation: 80-66=14
Exploring Operation: 80+12=92, Resulting Numbers: [66, 92]
Generated Node #0,3,2: 26:[66, 92] Operation: 80+12=92
Exploring Operation: 66-12=54, Resulting Numbers: [80, 54]
Generated Node #0,3,3: 26:[80, 54] Operation: 66-12=54
Moving to Node #0,0
Current State: 26:[86, 66, 18], Operations: ['98-80=18']
Exploring Operation: 86-66=20, Resulting Numbers: [18, 20]
Generated Node #0,0,0: 26:[18, 20] Operation: 86-66=20
Exploring Operation: 66-18=48, Resulting Numbers: [86, 48]
Generated Node #0,0,1: 26:[86, 48] Operation: 66-18=48
Exploring Operation: 86+18=104, Resulting Numbers: [66, 104]
Generated Node #0,0,2: 26:[66, 104] Operation: 86+18=104
Exploring Operation: 86-18=68, Resulting Numbers: [66, 68]
Generated Node #0,0,3: 26:[66, 68] Operation: 86-18=68
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[18, 20], Operations: ['98-80=18', '86-66=20']
Exploring Operation: 18+20=38, Resulting Numbers: [38]
38,26 unequal: No Solution
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,26 unequal: No Solution
Exploring Operation: 18*20=360, Resulting Numbers: [360]
360,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 26:[86, 48], Operations: ['98-80=18', '66-18=48']
Exploring Operation: 86-48=38, Resulting Numbers: [38]
38,26 unequal: No Solution
Exploring Operation: 86+48=134, Resulting Numbers: [134]
134,26 unequal: No Solution
Exploring Operation: 86*48=4128, Resulting Numbers: [4128]
4128,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 26:[66, 68], Operations: ['98-80=18', '86-18=68']
Exploring Operation: 66+68=134, Resulting Numbers: [134]
134,26 unequal: No Solution
Exploring Operation: 66*68=4488, Resulting Numbers: [4488]
4488,26 unequal: No Solution
Exploring Operation: 68-66=2, Resulting Numbers: [2]
2,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 26:[66, 104], Operations: ['98-80=18', '86+18=104']
Exploring Operation: 104-66=38, Resulting Numbers: [38]
38,26 unequal: No Solution
Exploring Operation: 66+104=170, Resulting Numbers: [170]
170,26 unequal: No Solution
Exploring Operation: 66*104=6864, Resulting Numbers: [6864]
6864,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 26:[98, 66, 6], Operations: ['86-80=6']
Exploring Operation: 98-6=92, Resulting Numbers: [66, 92]
Generated Node #0,1,0: 26:[66, 92] Operation: 98-6=92
Exploring Operation: 98-66=32, Resulting Numbers: [6, 32]
Generated Node #0,1,1: 26:[6, 32] Operation: 98-66=32
Exploring Operation: 66-6=60, Resulting Numbers: [98, 60]
Generated Node #0,1,2: 26:[98, 60] Operation: 66-6=60
Exploring Operation: 66/6=11, Resulting Numbers: [98, 11]
Generated Node #0,1,3: 26:[98, 11] Operation: 66/6=11
Moving to Node #0,2
Current State: 26:[80, 86, 32], Operations: ['98-66=32']
Exploring Operation: 80-32=48, Resulting Numbers: [86, 48]
Generated Node #0,2,0: 26:[86, 48] Operation: 80-32=48
Exploring Operation: 86-32=54, Resulting Numbers: [80, 54]
Generated Node #0,2,1: 26:[80, 54] Operation: 86-32=54
Exploring Operation: 80+86=166, Resulting Numbers: [32, 166]
Generated Node #0,2,2: 26:[32, 166] Operation: 80+86=166
Exploring Operation: 86-80=6, Resulting Numbers: [32, 6]
Generated Node #0,2,3: 26:[32, 6] Operation: 86-80=6
Moving to Node #0,3,1
Current State: 26:[12, 14], Operations: ['98-86=12', '80-66=14']
Exploring Operation: 12*14=168, Resulting Numbers: [168]
168,26 unequal: No Solution
Exploring Operation: 12+14=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[98, 80, 86, 66], Operations: []
Exploring Operation: 98-86=12, Resulting Numbers: [80, 66, 12]
Generated Node #0,3: 26:[80, 66, 12] Operation: 98-86=12
Moving to Node #0,3
Current State: 26:[80, 66, 12], Operations: ['98-86=12']
Exploring Operation: 80-66=14, Resulting Numbers: [12, 14]
Generated Node #0,3,1: 26:[12, 14] Operation: 80-66=14
Moving to Node #0,3,1
Current State: 26:[12, 14], Operations: ['98-86=12', '80-66=14']
Exploring Operation: 12+14=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 0.967014 | hs_4 | sum_heuristic |
[
58,
32,
80,
28
] | 75 | [
"58-28=30",
"80*30=2400",
"2400/32=75"
] | Current State: 75:[58, 32, 80, 28], Operations: []
Exploring Operation: 58-28=30, Resulting Numbers: [32, 80, 30]
Generated Node #2: [32, 80, 30] from Operation: 58-28=30
Current State: 75:[32, 80, 30], Operations: ['58-28=30']
Exploring Operation: 80*30=2400, Resulting Numbers: [32, 2400]
Generated Node #3: [32, 2400] from Operation: 80*30=2400
Current State: 75:[32, 2400], Operations: ['58-28=30', '80*30=2400']
Exploring Operation: 2400/32=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[58, 32, 80, 28], Operations: []
Exploring Operation: 58+32=90, Resulting Numbers: [80, 28, 90]
Generated Node #0,0: 75:[80, 28, 90] Operation: 58+32=90
Exploring Operation: 80-58=22, Resulting Numbers: [32, 28, 22]
Generated Node #0,1: 75:[32, 28, 22] Operation: 80-58=22
Exploring Operation: 58-32=26, Resulting Numbers: [80, 28, 26]
Generated Node #0,2: 75:[80, 28, 26] Operation: 58-32=26
Exploring Operation: 58-28=30, Resulting Numbers: [32, 80, 30]
Generated Node #0,3: 75:[32, 80, 30] Operation: 58-28=30
Exploring Operation: 58+28=86, Resulting Numbers: [32, 80, 86]
Generated Node #0,4: 75:[32, 80, 86] Operation: 58+28=86
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[80, 28, 26], Operations: ['58-32=26']
Exploring Operation: 28-26=2, Resulting Numbers: [80, 2]
Generated Node #0,2,0: 75:[80, 2] Operation: 28-26=2
Exploring Operation: 80+28=108, Resulting Numbers: [26, 108]
Generated Node #0,2,1: 75:[26, 108] Operation: 80+28=108
Exploring Operation: 80-26=54, Resulting Numbers: [28, 54]
Generated Node #0,2,2: 75:[28, 54] Operation: 80-26=54
Exploring Operation: 80-28=52, Resulting Numbers: [26, 52]
Generated Node #0,2,3: 75:[26, 52] Operation: 80-28=52
Exploring Operation: 28+26=54, Resulting Numbers: [80, 54]
Generated Node #0,2,4: 75:[80, 54] Operation: 28+26=54
Moving to Node #0,2,0
Current State: 75:[80, 2], Operations: ['58-32=26', '28-26=2']
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,75 unequal: No Solution
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,75 unequal: No Solution
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,75 unequal: No Solution
Exploring Operation: 80*2=160, Resulting Numbers: [160]
160,75 unequal: No Solution
Moving to Node #0,2,3
Current State: 75:[26, 52], Operations: ['58-32=26', '80-28=52']
Exploring Operation: 26+52=78, Resulting Numbers: [78]
78,75 unequal: No Solution
Exploring Operation: 26*52=1352, Resulting Numbers: [1352]
1352,75 unequal: No Solution
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 52/26=2, Resulting Numbers: [2]
2,75 unequal: No Solution
Moving to Node #0,2,2
Current State: 75:[28, 54], Operations: ['58-32=26', '80-26=54']
Exploring Operation: 54-28=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 28*54=1512, Resulting Numbers: [1512]
1512,75 unequal: No Solution
Exploring Operation: 28+54=82, Resulting Numbers: [82]
82,75 unequal: No Solution
Moving to Node #0,2,4
Current State: 75:[80, 54], Operations: ['58-32=26', '28+26=54']
Exploring Operation: 80-54=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 80+54=134, Resulting Numbers: [134]
134,75 unequal: No Solution
Exploring Operation: 80*54=4320, Resulting Numbers: [4320]
4320,75 unequal: No Solution
Moving to Node #0,2,1
Current State: 75:[26, 108], Operations: ['58-32=26', '80+28=108']
Exploring Operation: 108-26=82, Resulting Numbers: [82]
82,75 unequal: No Solution
Exploring Operation: 26*108=2808, Resulting Numbers: [2808]
2808,75 unequal: No Solution
Exploring Operation: 26+108=134, Resulting Numbers: [134]
134,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[32, 28, 22], Operations: ['80-58=22']
Exploring Operation: 32-22=10, Resulting Numbers: [28, 10]
Generated Node #0,1,0: 75:[28, 10] Operation: 32-22=10
Exploring Operation: 28-22=6, Resulting Numbers: [32, 6]
Generated Node #0,1,1: 75:[32, 6] Operation: 28-22=6
Exploring Operation: 32+22=54, Resulting Numbers: [28, 54]
Generated Node #0,1,2: 75:[28, 54] Operation: 32+22=54
Exploring Operation: 32+28=60, Resulting Numbers: [22, 60]
Generated Node #0,1,3: 75:[22, 60] Operation: 32+28=60
Exploring Operation: 32-28=4, Resulting Numbers: [22, 4]
Generated Node #0,1,4: 75:[22, 4] Operation: 32-28=4
Moving to Node #0,1,4
Current State: 75:[22, 4], Operations: ['80-58=22', '32-28=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,75 unequal: No Solution
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[32, 6], Operations: ['80-58=22', '28-22=6']
Exploring Operation: 32*6=192, Resulting Numbers: [192]
192,75 unequal: No Solution
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,75 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[28, 10], Operations: ['80-58=22', '32-22=10']
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,75 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,75 unequal: No Solution
Exploring Operation: 28*10=280, Resulting Numbers: [280]
280,75 unequal: No Solution
Moving to Node #0,1,3
Current State: 75:[22, 60], Operations: ['80-58=22', '32+28=60']
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,75 unequal: No Solution
Exploring Operation: 22+60=82, Resulting Numbers: [82]
82,75 unequal: No Solution
Exploring Operation: 22*60=1320, Resulting Numbers: [1320]
1320,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[28, 54], Operations: ['80-58=22', '32+22=54']
Exploring Operation: 28*54=1512, Resulting Numbers: [1512]
1512,75 unequal: No Solution
Exploring Operation: 54-28=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 28+54=82, Resulting Numbers: [82]
82,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 75:[32, 80, 30], Operations: ['58-28=30']
Exploring Operation: 32+30=62, Resulting Numbers: [80, 62]
Generated Node #0,3,0: 75:[80, 62] Operation: 32+30=62
Exploring Operation: 32+80=112, Resulting Numbers: [30, 112]
Generated Node #0,3,1: 75:[30, 112] Operation: 32+80=112
Exploring Operation: 80-30=50, Resulting Numbers: [32, 50]
Generated Node #0,3,2: 75:[32, 50] Operation: 80-30=50
Exploring Operation: 32-30=2, Resulting Numbers: [80, 2]
Generated Node #0,3,3: 75:[80, 2] Operation: 32-30=2
Exploring Operation: 80-32=48, Resulting Numbers: [30, 48]
Generated Node #0,3,4: 75:[30, 48] Operation: 80-32=48
Moving to Node #0,3,3
Current State: 75:[80, 2], Operations: ['58-28=30', '32-30=2']
Exploring Operation: 80*2=160, Resulting Numbers: [160]
160,75 unequal: No Solution
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,75 unequal: No Solution
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,75 unequal: No Solution
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,75 unequal: No Solution
Moving to Node #0,3,0
Current State: 75:[80, 62], Operations: ['58-28=30', '32+30=62']
Exploring Operation: 80*62=4960, Resulting Numbers: [4960]
4960,75 unequal: No Solution
Exploring Operation: 80-62=18, Resulting Numbers: [18]
18,75 unequal: No Solution
Exploring Operation: 80+62=142, Resulting Numbers: [142]
142,75 unequal: No Solution
Moving to Node #0,3,4
Current State: 75:[30, 48], Operations: ['58-28=30', '80-32=48']
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,75 unequal: No Solution
Exploring Operation: 30+48=78, Resulting Numbers: [78]
78,75 unequal: No Solution
Exploring Operation: 30*48=1440, Resulting Numbers: [1440]
1440,75 unequal: No Solution
Moving to Node #0,3,2
Current State: 75:[32, 50], Operations: ['58-28=30', '80-30=50']
Exploring Operation: 32*50=1600, Resulting Numbers: [1600]
1600,75 unequal: No Solution
Exploring Operation: 32+50=82, Resulting Numbers: [82]
82,75 unequal: No Solution
Exploring Operation: 50-32=18, Resulting Numbers: [18]
18,75 unequal: No Solution
Moving to Node #0,3,1
Current State: 75:[30, 112], Operations: ['58-28=30', '32+80=112']
Exploring Operation: 112-30=82, Resulting Numbers: [82]
82,75 unequal: No Solution
Exploring Operation: 30*112=3360, Resulting Numbers: [3360]
3360,75 unequal: No Solution
Exploring Operation: 30+112=142, Resulting Numbers: [142]
142,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[80, 28, 90], Operations: ['58+32=90']
Exploring Operation: 80+28=108, Resulting Numbers: [90, 108]
Generated Node #0,0,0: 75:[90, 108] Operation: 80+28=108
Exploring Operation: 80-28=52, Resulting Numbers: [90, 52]
Generated Node #0,0,1: 75:[90, 52] Operation: 80-28=52
Exploring Operation: 90-28=62, Resulting Numbers: [80, 62]
Generated Node #0,0,2: 75:[80, 62] Operation: 90-28=62
Exploring Operation: 28+90=118, Resulting Numbers: [80, 118]
Generated Node #0,0,3: 75:[80, 118] Operation: 28+90=118
Exploring Operation: 90-80=10, Resulting Numbers: [28, 10]
Generated Node #0,0,4: 75:[28, 10] Operation: 90-80=10
Moving to Node #0,0,4
Current State: 75:[28, 10], Operations: ['58+32=90', '90-80=10']
Exploring Operation: 28*10=280, Resulting Numbers: [280]
280,75 unequal: No Solution
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,75 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,75 unequal: No Solution
Moving to Node #0,0,2
Current State: 75:[80, 62], Operations: ['58+32=90', '90-28=62']
Exploring Operation: 80+62=142, Resulting Numbers: [142]
142,75 unequal: No Solution
Exploring Operation: 80-62=18, Resulting Numbers: [18]
18,75 unequal: No Solution
Exploring Operation: 80*62=4960, Resulting Numbers: [4960]
4960,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[90, 52], Operations: ['58+32=90', '80-28=52']
Exploring Operation: 90+52=142, Resulting Numbers: [142]
142,75 unequal: No Solution
Exploring Operation: 90-52=38, Resulting Numbers: [38]
38,75 unequal: No Solution
Exploring Operation: 90*52=4680, Resulting Numbers: [4680]
4680,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[90, 108], Operations: ['58+32=90', '80+28=108']
Exploring Operation: 90+108=198, Resulting Numbers: [198]
198,75 unequal: No Solution
Exploring Operation: 90*108=9720, Resulting Numbers: [9720]
9720,75 unequal: No Solution
Exploring Operation: 108-90=18, Resulting Numbers: [18]
18,75 unequal: No Solution
Moving to Node #0,0,3
Current State: 75:[80, 118], Operations: ['58+32=90', '28+90=118']
Exploring Operation: 118-80=38, Resulting Numbers: [38]
38,75 unequal: No Solution
Exploring Operation: 80*118=9440, Resulting Numbers: [9440]
9440,75 unequal: No Solution
Exploring Operation: 80+118=198, Resulting Numbers: [198]
198,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 75:[32, 80, 86], Operations: ['58+28=86']
Exploring Operation: 32+86=118, Resulting Numbers: [80, 118]
Generated Node #0,4,0: 75:[80, 118] Operation: 32+86=118
Exploring Operation: 32+80=112, Resulting Numbers: [86, 112]
Generated Node #0,4,1: 75:[86, 112] Operation: 32+80=112
Exploring Operation: 86-32=54, Resulting Numbers: [80, 54]
Generated Node #0,4,2: 75:[80, 54] Operation: 86-32=54
Exploring Operation: 80-32=48, Resulting Numbers: [86, 48]
Generated Node #0,4,3: 75:[86, 48] Operation: 80-32=48
Exploring Operation: 86-80=6, Resulting Numbers: [32, 6]
Generated Node #0,4,4: 75:[32, 6] Operation: 86-80=6
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 75:[32, 6], Operations: ['58+28=86', '86-80=6']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 32*6=192, Resulting Numbers: [192]
192,75 unequal: No Solution
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,75 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 #0,4,2
Current State: 75:[80, 54], Operations: ['58+28=86', '86-32=54']
Exploring Operation: 80-54=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 80+54=134, Resulting Numbers: [134]
134,75 unequal: No Solution
Exploring Operation: 80*54=4320, Resulting Numbers: [4320]
4320,75 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 #0,4,3
Current State: 75:[86, 48], Operations: ['58+28=86', '80-32=48']
Exploring Operation: 86*48=4128, Resulting Numbers: [4128]
4128,75 unequal: No Solution
Exploring Operation: 86+48=134, Resulting Numbers: [134]
134,75 unequal: No Solution
Exploring Operation: 86-48=38, Resulting Numbers: [38]
38,75 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 #0,4,0
Current State: 75:[80, 118], Operations: ['58+28=86', '32+86=118']
Exploring Operation: 80+118=198, Resulting Numbers: [198]
198,75 unequal: No Solution
Exploring Operation: 118-80=38, Resulting Numbers: [38]
38,75 unequal: No Solution
Exploring Operation: 80*118=9440, Resulting Numbers: [9440]
9440,75 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 #0,4,1
Current State: 75:[86, 112], Operations: ['58+28=86', '32+80=112']
Exploring Operation: 86*112=9632, Resulting Numbers: [9632]
9632,75 unequal: No Solution
Exploring Operation: 112-86=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 86+112=198, Resulting Numbers: [198]
198,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
40,
79,
91,
19
] | 71 | [
"79-40=39",
"91+19=110",
"110-39=71"
] | Current State: 71:[40, 79, 91, 19], Operations: []
Exploring Operation: 79-40=39, Resulting Numbers: [91, 19, 39]
Generated Node #2: [91, 19, 39] from Operation: 79-40=39
Current State: 71:[91, 19, 39], Operations: ['79-40=39']
Exploring Operation: 91+19=110, Resulting Numbers: [39, 110]
Generated Node #3: [39, 110] from Operation: 91+19=110
Current State: 71:[39, 110], Operations: ['79-40=39', '91+19=110']
Exploring Operation: 110-39=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[40, 79, 91, 19], Operations: []
Exploring Operation: 40-19=21, Resulting Numbers: [79, 91, 21]
Generated Node #0,0: 71:[79, 91, 21] Operation: 40-19=21
Exploring Operation: 79+19=98, Resulting Numbers: [40, 91, 98]
Generated Node #0,1: 71:[40, 91, 98] Operation: 79+19=98
Exploring Operation: 91-19=72, Resulting Numbers: [40, 79, 72]
Generated Node #0,2: 71:[40, 79, 72] Operation: 91-19=72
Exploring Operation: 79-19=60, Resulting Numbers: [40, 91, 60]
Generated Node #0,3: 71:[40, 91, 60] Operation: 79-19=60
Exploring Operation: 40+19=59, Resulting Numbers: [79, 91, 59]
Generated Node #0,4: 71:[79, 91, 59] Operation: 40+19=59
Moving to Node #0,2
Current State: 71:[40, 79, 72], Operations: ['91-19=72']
Exploring Operation: 79-40=39, Resulting Numbers: [72, 39]
Generated Node #0,2,0: 71:[72, 39] Operation: 79-40=39
Exploring Operation: 40+79=119, Resulting Numbers: [72, 119]
Generated Node #0,2,1: 71:[72, 119] Operation: 40+79=119
Exploring Operation: 40+72=112, Resulting Numbers: [79, 112]
Generated Node #0,2,2: 71:[79, 112] Operation: 40+72=112
Exploring Operation: 79-72=7, Resulting Numbers: [40, 7]
Generated Node #0,2,3: 71:[40, 7] Operation: 79-72=7
Exploring Operation: 72-40=32, Resulting Numbers: [79, 32]
Generated Node #0,2,4: 71:[79, 32] Operation: 72-40=32
Moving to Node #0,4
Current State: 71:[79, 91, 59], Operations: ['40+19=59']
Exploring Operation: 91-59=32, Resulting Numbers: [79, 32]
Generated Node #0,4,0: 71:[79, 32] Operation: 91-59=32
Exploring Operation: 91-79=12, Resulting Numbers: [59, 12]
Generated Node #0,4,1: 71:[59, 12] Operation: 91-79=12
Exploring Operation: 91+59=150, Resulting Numbers: [79, 150]
Generated Node #0,4,2: 71:[79, 150] Operation: 91+59=150
Exploring Operation: 79+59=138, Resulting Numbers: [91, 138]
Generated Node #0,4,3: 71:[91, 138] Operation: 79+59=138
Exploring Operation: 79-59=20, Resulting Numbers: [91, 20]
Generated Node #0,4,4: 71:[91, 20] Operation: 79-59=20
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 71:[79, 32], Operations: ['40+19=59', '91-59=32']
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,71 unequal: No Solution
Exploring Operation: 79*32=2528, Resulting Numbers: [2528]
2528,71 unequal: No Solution
Exploring Operation: 79+32=111, Resulting Numbers: [111]
111,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 71:[59, 12], Operations: ['40+19=59', '91-79=12']
Exploring Operation: 59-12=47, Resulting Numbers: [47]
47,71 unequal: No Solution
Exploring Operation: 59*12=708, Resulting Numbers: [708]
708,71 unequal: No Solution
Exploring Operation: 59+12=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[40, 79, 91, 19], Operations: []
Exploring Operation: 40+19=59, Resulting Numbers: [79, 91, 59]
Generated Node #0,4: 71:[79, 91, 59] Operation: 40+19=59
Moving to Node #0,4
Current State: 71:[79, 91, 59], Operations: ['40+19=59']
Exploring Operation: 91-79=12, Resulting Numbers: [59, 12]
Generated Node #0,4,1: 71:[59, 12] Operation: 91-79=12
Moving to Node #0,4,1
Current State: 71:[59, 12], Operations: ['40+19=59', '91-79=12']
Exploring Operation: 59+12=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | mult_heuristic |
[
36,
74,
94,
54
] | 38 | [
"36+74=110",
"94+54=148",
"148-110=38"
] | Current State: 38:[36, 74, 94, 54], Operations: []
Exploring Operation: 36+74=110, Resulting Numbers: [94, 54, 110]
Generated Node #2: [94, 54, 110] from Operation: 36+74=110
Current State: 38:[94, 54, 110], Operations: ['36+74=110']
Exploring Operation: 94+54=148, Resulting Numbers: [110, 148]
Generated Node #3: [110, 148] from Operation: 94+54=148
Current State: 38:[110, 148], Operations: ['36+74=110', '94+54=148']
Exploring Operation: 148-110=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[36, 74, 94, 54], Operations: []
Exploring Operation: 94-74=20, Resulting Numbers: [36, 54, 20]
Generated Node #0,0: 38:[36, 54, 20] Operation: 94-74=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[36, 54, 20], Operations: ['94-74=20']
Exploring Operation: 54-36=18, Resulting Numbers: [20, 18]
Generated Node #0,0,0: 38:[20, 18] Operation: 54-36=18
Moving to Node #0,0,0
Current State: 38:[20, 18], Operations: ['94-74=20', '54-36=18']
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[36, 74, 94, 54], Operations: []
Exploring Operation: 94-74=20, Resulting Numbers: [36, 54, 20]
Generated Node #0,0: 38:[36, 54, 20] Operation: 94-74=20
Moving to Node #0,0
Current State: 38:[36, 54, 20], Operations: ['94-74=20']
Exploring Operation: 54-36=18, Resulting Numbers: [20, 18]
Generated Node #0,0,0: 38:[20, 18] Operation: 54-36=18
Moving to Node #0,0,0
Current State: 38:[20, 18], Operations: ['94-74=20', '54-36=18']
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
94,
84,
81,
85
] | 93 | [
"94-85=9",
"81/9=9",
"84+9=93"
] | Current State: 93:[94, 84, 81, 85], Operations: []
Exploring Operation: 94-85=9, Resulting Numbers: [84, 81, 9]
Generated Node #2: [84, 81, 9] from Operation: 94-85=9
Current State: 93:[84, 81, 9], Operations: ['94-85=9']
Exploring Operation: 81/9=9, Resulting Numbers: [84, 9]
Generated Node #3: [84, 9] from Operation: 81/9=9
Current State: 93:[84, 9], Operations: ['94-85=9', '81/9=9']
Exploring Operation: 84+9=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[94, 84, 81, 85], Operations: []
Exploring Operation: 84-81=3, Resulting Numbers: [94, 85, 3]
Generated Node #0,0: 93:[94, 85, 3] Operation: 84-81=3
Moving to Node #0,0
Current State: 93:[94, 85, 3], Operations: ['84-81=3']
Exploring Operation: 94-85=9, Resulting Numbers: [3, 9]
Generated Node #0,0,0: 93:[3, 9] Operation: 94-85=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[3, 9], Operations: ['84-81=3', '94-85=9']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
11,
3,
40,
40
] | 94 | [
"11+3=14",
"40+40=80",
"14+80=94"
] | Current State: 94:[11, 3, 40, 40], Operations: []
Exploring Operation: 11+3=14, Resulting Numbers: [40, 40, 14]
Generated Node #2: [40, 40, 14] from Operation: 11+3=14
Current State: 94:[40, 40, 14], Operations: ['11+3=14']
Exploring Operation: 40+40=80, Resulting Numbers: [14, 80]
Generated Node #3: [14, 80] from Operation: 40+40=80
Current State: 94:[14, 80], Operations: ['11+3=14', '40+40=80']
Exploring Operation: 14+80=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[11, 3, 40, 40], Operations: []
Exploring Operation: 11+40=51, Resulting Numbers: [3, 40, 51]
Generated Node #0,0: 94:[3, 40, 51] Operation: 11+40=51
Exploring Operation: 40/40=1, Resulting Numbers: [11, 3, 1]
Generated Node #0,1: 94:[11, 3, 1] Operation: 40/40=1
Exploring Operation: 11+40=51, Resulting Numbers: [3, 40, 51]
Generated Node #0,2: 94:[3, 40, 51] Operation: 11+40=51
Moving to Node #0,1
Current State: 94:[11, 3, 1], Operations: ['40/40=1']
Exploring Operation: 11-3=8, Resulting Numbers: [1, 8]
Generated Node #0,1,0: 94:[1, 8] Operation: 11-3=8
Exploring Operation: 3-1=2, Resulting Numbers: [11, 2]
Generated Node #0,1,1: 94:[11, 2] Operation: 3-1=2
Exploring Operation: 11-1=10, Resulting Numbers: [3, 10]
Generated Node #0,1,2: 94:[3, 10] Operation: 11-1=10
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[1, 8], Operations: ['40/40=1', '11-3=8']
Exploring Operation: 1*8=8, Resulting Numbers: [8]
8,94 unequal: No Solution
Exploring Operation: 8/1=8, Resulting Numbers: [8]
8,94 unequal: No Solution
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 94:[11, 2], Operations: ['40/40=1', '3-1=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,94 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,94 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 94:[3, 10], Operations: ['40/40=1', '11-1=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,94 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,94 unequal: No Solution
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,94 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: 94:[3, 40, 51], Operations: ['11+40=51']
Exploring Operation: 51-3=48, Resulting Numbers: [40, 48]
Generated Node #0,0,0: 94:[40, 48] Operation: 51-3=48
Exploring Operation: 40+51=91, Resulting Numbers: [3, 91]
Generated Node #0,0,1: 94:[3, 91] Operation: 40+51=91
Exploring Operation: 3+40=43, Resulting Numbers: [51, 43]
Generated Node #0,0,2: 94:[51, 43] Operation: 3+40=43
Moving to Node #0,2
Current State: 94:[3, 40, 51], Operations: ['11+40=51']
Exploring Operation: 51-3=48, Resulting Numbers: [40, 48]
Generated Node #0,2,0: 94:[40, 48] Operation: 51-3=48
Exploring Operation: 3+40=43, Resulting Numbers: [51, 43]
Generated Node #0,2,1: 94:[51, 43] Operation: 3+40=43
Exploring Operation: 40+51=91, Resulting Numbers: [3, 91]
Generated Node #0,2,2: 94:[3, 91] Operation: 40+51=91
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 94:[3, 91], Operations: ['11+40=51', '40+51=91']
Exploring Operation: 3*91=273, Resulting Numbers: [273]
273,94 unequal: No Solution
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,94 unequal: No Solution
Exploring Operation: 3+91=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[11, 3, 40, 40], Operations: []
Exploring Operation: 11+40=51, Resulting Numbers: [3, 40, 51]
Generated Node #0,2: 94:[3, 40, 51] Operation: 11+40=51
Moving to Node #0,2
Current State: 94:[3, 40, 51], Operations: ['11+40=51']
Exploring Operation: 40+51=91, Resulting Numbers: [3, 91]
Generated Node #0,2,2: 94:[3, 91] Operation: 40+51=91
Moving to Node #0,2,2
Current State: 94:[3, 91], Operations: ['11+40=51', '40+51=91']
Exploring Operation: 3+91=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_3 | sum_heuristic |
[
89,
18,
78,
95
] | 88 | [
"89-18=71",
"95-78=17",
"71+17=88"
] | Current State: 88:[89, 18, 78, 95], Operations: []
Exploring Operation: 89-18=71, Resulting Numbers: [78, 95, 71]
Generated Node #2: [78, 95, 71] from Operation: 89-18=71
Current State: 88:[78, 95, 71], Operations: ['89-18=71']
Exploring Operation: 95-78=17, Resulting Numbers: [71, 17]
Generated Node #3: [71, 17] from Operation: 95-78=17
Current State: 88:[71, 17], Operations: ['89-18=71', '95-78=17']
Exploring Operation: 71+17=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[89, 18, 78, 95], Operations: []
Exploring Operation: 95-78=17, Resulting Numbers: [89, 18, 17]
Generated Node #0,0: 88:[89, 18, 17] Operation: 95-78=17
Moving to Node #0,0
Current State: 88:[89, 18, 17], Operations: ['95-78=17']
Exploring Operation: 18-17=1, Resulting Numbers: [89, 1]
Generated Node #0,0,0: 88:[89, 1] Operation: 18-17=1
Moving to Node #0,0,0
Current State: 88:[89, 1], Operations: ['95-78=17', '18-17=1']
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[89, 18, 78, 95], Operations: []
Exploring Operation: 95-78=17, Resulting Numbers: [89, 18, 17]
Generated Node #0,0: 88:[89, 18, 17] Operation: 95-78=17
Moving to Node #0,0
Current State: 88:[89, 18, 17], Operations: ['95-78=17']
Exploring Operation: 18-17=1, Resulting Numbers: [89, 1]
Generated Node #0,0,0: 88:[89, 1] Operation: 18-17=1
Moving to Node #0,0,0
Current State: 88:[89, 1], Operations: ['95-78=17', '18-17=1']
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
31,
4,
39,
26
] | 59 | [
"31*4=124",
"39+26=65",
"124-65=59"
] | Current State: 59:[31, 4, 39, 26], Operations: []
Exploring Operation: 31*4=124, Resulting Numbers: [39, 26, 124]
Generated Node #2: [39, 26, 124] from Operation: 31*4=124
Current State: 59:[39, 26, 124], Operations: ['31*4=124']
Exploring Operation: 39+26=65, Resulting Numbers: [124, 65]
Generated Node #3: [124, 65] from Operation: 39+26=65
Current State: 59:[124, 65], Operations: ['31*4=124', '39+26=65']
Exploring Operation: 124-65=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[31, 4, 39, 26], Operations: []
Exploring Operation: 4+26=30, Resulting Numbers: [31, 39, 30]
Generated Node #0,0: 59:[31, 39, 30] Operation: 4+26=30
Exploring Operation: 4+39=43, Resulting Numbers: [31, 26, 43]
Generated Node #0,1: 59:[31, 26, 43] Operation: 4+39=43
Exploring Operation: 31+4=35, Resulting Numbers: [39, 26, 35]
Generated Node #0,2: 59:[39, 26, 35] Operation: 31+4=35
Exploring Operation: 31+26=57, Resulting Numbers: [4, 39, 57]
Generated Node #0,3: 59:[4, 39, 57] Operation: 31+26=57
Moving to Node #0,0
Current State: 59:[31, 39, 30], Operations: ['4+26=30']
Exploring Operation: 31-30=1, Resulting Numbers: [39, 1]
Generated Node #0,0,0: 59:[39, 1] Operation: 31-30=1
Exploring Operation: 31+39=70, Resulting Numbers: [30, 70]
Generated Node #0,0,1: 59:[30, 70] Operation: 31+39=70
Exploring Operation: 31+30=61, Resulting Numbers: [39, 61]
Generated Node #0,0,2: 59:[39, 61] Operation: 31+30=61
Exploring Operation: 39+30=69, Resulting Numbers: [31, 69]
Generated Node #0,0,3: 59:[31, 69] Operation: 39+30=69
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 59:[39, 61], Operations: ['4+26=30', '31+30=61']
Exploring Operation: 39+61=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Exploring Operation: 61-39=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 39*61=2379, Resulting Numbers: [2379]
2379,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 59:[31, 69], Operations: ['4+26=30', '39+30=69']
Exploring Operation: 69-31=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 31*69=2139, Resulting Numbers: [2139]
2139,59 unequal: No Solution
Exploring Operation: 31+69=100, Resulting Numbers: [100]
100,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 59:[30, 70], Operations: ['4+26=30', '31+39=70']
Exploring Operation: 70-30=40, Resulting Numbers: [40]
40,59 unequal: No Solution
Exploring Operation: 30*70=2100, Resulting Numbers: [2100]
2100,59 unequal: No Solution
Exploring Operation: 30+70=100, Resulting Numbers: [100]
100,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[39, 1], Operations: ['4+26=30', '31-30=1']
Exploring Operation: 39/1=39, Resulting Numbers: [39]
39,59 unequal: No Solution
Exploring Operation: 39*1=39, Resulting Numbers: [39]
39,59 unequal: No Solution
Exploring Operation: 39+1=40, Resulting Numbers: [40]
40,59 unequal: No Solution
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,59 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: 59:[39, 26, 35], Operations: ['31+4=35']
Exploring Operation: 26+35=61, Resulting Numbers: [39, 61]
Generated Node #0,2,0: 59:[39, 61] Operation: 26+35=61
Exploring Operation: 39-26=13, Resulting Numbers: [35, 13]
Generated Node #0,2,1: 59:[35, 13] Operation: 39-26=13
Exploring Operation: 39+35=74, Resulting Numbers: [26, 74]
Generated Node #0,2,2: 59:[26, 74] Operation: 39+35=74
Exploring Operation: 39+26=65, Resulting Numbers: [35, 65]
Generated Node #0,2,3: 59:[35, 65] Operation: 39+26=65
Moving to Node #0,1
Current State: 59:[31, 26, 43], Operations: ['4+39=43']
Exploring Operation: 31+26=57, Resulting Numbers: [43, 57]
Generated Node #0,1,0: 59:[43, 57] Operation: 31+26=57
Exploring Operation: 26+43=69, Resulting Numbers: [31, 69]
Generated Node #0,1,1: 59:[31, 69] Operation: 26+43=69
Exploring Operation: 31+43=74, Resulting Numbers: [26, 74]
Generated Node #0,1,2: 59:[26, 74] Operation: 31+43=74
Exploring Operation: 31-26=5, Resulting Numbers: [43, 5]
Generated Node #0,1,3: 59:[43, 5] Operation: 31-26=5
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 59:[43, 57], Operations: ['4+39=43', '31+26=57']
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 43+57=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Exploring Operation: 43*57=2451, Resulting Numbers: [2451]
2451,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 59:[31, 69], Operations: ['4+39=43', '26+43=69']
Exploring Operation: 31*69=2139, Resulting Numbers: [2139]
2139,59 unequal: No Solution
Exploring Operation: 69-31=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 31+69=100, Resulting Numbers: [100]
100,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 59:[26, 74], Operations: ['4+39=43', '31+43=74']
Exploring Operation: 26+74=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Exploring Operation: 26*74=1924, Resulting Numbers: [1924]
1924,59 unequal: No Solution
Exploring Operation: 74-26=48, Resulting Numbers: [48]
48,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 59:[43, 5], Operations: ['4+39=43', '31-26=5']
Exploring Operation: 43+5=48, Resulting Numbers: [48]
48,59 unequal: No Solution
Exploring Operation: 43*5=215, Resulting Numbers: [215]
215,59 unequal: No Solution
Exploring Operation: 43-5=38, Resulting Numbers: [38]
38,59 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: 59:[4, 39, 57], Operations: ['31+26=57']
Exploring Operation: 4+39=43, Resulting Numbers: [57, 43]
Generated Node #0,3,0: 59:[57, 43] Operation: 4+39=43
Exploring Operation: 57-4=53, Resulting Numbers: [39, 53]
Generated Node #0,3,1: 59:[39, 53] Operation: 57-4=53
Exploring Operation: 39-4=35, Resulting Numbers: [57, 35]
Generated Node #0,3,2: 59:[57, 35] Operation: 39-4=35
Exploring Operation: 4+57=61, Resulting Numbers: [39, 61]
Generated Node #0,3,3: 59:[39, 61] Operation: 4+57=61
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 59:[57, 43], Operations: ['31+26=57', '4+39=43']
Exploring Operation: 57+43=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 57*43=2451, Resulting Numbers: [2451]
2451,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 59:[39, 61], Operations: ['31+26=57', '4+57=61']
Exploring Operation: 39*61=2379, Resulting Numbers: [2379]
2379,59 unequal: No Solution
Exploring Operation: 61-39=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 39+61=100, Resulting Numbers: [100]
100,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 59:[39, 53], Operations: ['31+26=57', '57-4=53']
Exploring Operation: 39*53=2067, Resulting Numbers: [2067]
2067,59 unequal: No Solution
Exploring Operation: 53-39=14, Resulting Numbers: [14]
14,59 unequal: No Solution
Exploring Operation: 39+53=92, Resulting Numbers: [92]
92,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 59:[57, 35], Operations: ['31+26=57', '39-4=35']
Exploring Operation: 57+35=92, Resulting Numbers: [92]
92,59 unequal: No Solution
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 57*35=1995, Resulting Numbers: [1995]
1995,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 59:[39, 61], Operations: ['31+4=35', '26+35=61']
Exploring Operation: 61-39=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 39*61=2379, Resulting Numbers: [2379]
2379,59 unequal: No Solution
Exploring Operation: 39+61=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Moving to Node #0,2,3
Current State: 59:[35, 65], Operations: ['31+4=35', '39+26=65']
Exploring Operation: 35*65=2275, Resulting Numbers: [2275]
2275,59 unequal: No Solution
Exploring Operation: 65-35=30, Resulting Numbers: [30]
30,59 unequal: No Solution
Exploring Operation: 35+65=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[26, 74], Operations: ['31+4=35', '39+35=74']
Exploring Operation: 74-26=48, Resulting Numbers: [48]
48,59 unequal: No Solution
Exploring Operation: 26+74=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Exploring Operation: 26*74=1924, Resulting Numbers: [1924]
1924,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[35, 13], Operations: ['31+4=35', '39-26=13']
Exploring Operation: 35+13=48, Resulting Numbers: [48]
48,59 unequal: No Solution
Exploring Operation: 35*13=455, Resulting Numbers: [455]
455,59 unequal: No Solution
Exploring Operation: 35-13=22, Resulting Numbers: [22]
22,59 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
19,
6,
4,
42
] | 31 | [
"6+42=48",
"48/4=12",
"19+12=31"
] | Current State: 31:[19, 6, 4, 42], Operations: []
Exploring Operation: 6+42=48, Resulting Numbers: [19, 4, 48]
Generated Node #2: [19, 4, 48] from Operation: 6+42=48
Current State: 31:[19, 4, 48], Operations: ['6+42=48']
Exploring Operation: 48/4=12, Resulting Numbers: [19, 12]
Generated Node #3: [19, 12] from Operation: 48/4=12
Current State: 31:[19, 12], Operations: ['6+42=48', '48/4=12']
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[19, 6, 4, 42], Operations: []
Exploring Operation: 6*4=24, Resulting Numbers: [19, 42, 24]
Generated Node #0,0: 31:[19, 42, 24] Operation: 6*4=24
Exploring Operation: 6+4=10, Resulting Numbers: [19, 42, 10]
Generated Node #0,1: 31:[19, 42, 10] Operation: 6+4=10
Exploring Operation: 19+4=23, Resulting Numbers: [6, 42, 23]
Generated Node #0,2: 31:[6, 42, 23] Operation: 19+4=23
Exploring Operation: 42-6=36, Resulting Numbers: [19, 4, 36]
Generated Node #0,3: 31:[19, 4, 36] Operation: 42-6=36
Exploring Operation: 19+6=25, Resulting Numbers: [4, 42, 25]
Generated Node #0,4: 31:[4, 42, 25] Operation: 19+6=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[19, 42, 24], Operations: ['6*4=24']
Exploring Operation: 19+24=43, Resulting Numbers: [42, 43]
Generated Node #0,0,0: 31:[42, 43] Operation: 19+24=43
Exploring Operation: 19+42=61, Resulting Numbers: [24, 61]
Generated Node #0,0,1: 31:[24, 61] Operation: 19+42=61
Exploring Operation: 42-24=18, Resulting Numbers: [19, 18]
Generated Node #0,0,2: 31:[19, 18] Operation: 42-24=18
Exploring Operation: 42-19=23, Resulting Numbers: [24, 23]
Generated Node #0,0,3: 31:[24, 23] Operation: 42-19=23
Exploring Operation: 24-19=5, Resulting Numbers: [42, 5]
Generated Node #0,0,4: 31:[42, 5] Operation: 24-19=5
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 31:[24, 23], Operations: ['6*4=24', '42-19=23']
Exploring Operation: 24*23=552, Resulting Numbers: [552]
552,31 unequal: No Solution
Exploring Operation: 24+23=47, Resulting Numbers: [47]
47,31 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 31:[42, 43], Operations: ['6*4=24', '19+24=43']
Exploring Operation: 42+43=85, Resulting Numbers: [85]
85,31 unequal: No Solution
Exploring Operation: 43-42=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 42*43=1806, Resulting Numbers: [1806]
1806,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 31:[19, 18], Operations: ['6*4=24', '42-24=18']
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 19*18=342, Resulting Numbers: [342]
342,31 unequal: No Solution
Exploring Operation: 19+18=37, Resulting Numbers: [37]
37,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 31:[24, 61], Operations: ['6*4=24', '19+42=61']
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,31 unequal: No Solution
Exploring Operation: 24*61=1464, Resulting Numbers: [1464]
1464,31 unequal: No Solution
Exploring Operation: 24+61=85, Resulting Numbers: [85]
85,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 31:[42, 5], Operations: ['6*4=24', '24-19=5']
Exploring Operation: 42*5=210, Resulting Numbers: [210]
210,31 unequal: No Solution
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,31 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[19, 42, 10], Operations: ['6+4=10']
Exploring Operation: 19-10=9, Resulting Numbers: [42, 9]
Generated Node #0,1,0: 31:[42, 9] Operation: 19-10=9
Exploring Operation: 42-10=32, Resulting Numbers: [19, 32]
Generated Node #0,1,1: 31:[19, 32] Operation: 42-10=32
Exploring Operation: 42-19=23, Resulting Numbers: [10, 23]
Generated Node #0,1,2: 31:[10, 23] Operation: 42-19=23
Exploring Operation: 42+10=52, Resulting Numbers: [19, 52]
Generated Node #0,1,3: 31:[19, 52] Operation: 42+10=52
Exploring Operation: 19+10=29, Resulting Numbers: [42, 29]
Generated Node #0,1,4: 31:[42, 29] Operation: 19+10=29
Moving to Node #0,1,1
Current State: 31:[19, 32], Operations: ['6+4=10', '42-10=32']
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,31 unequal: No Solution
Exploring Operation: 19+32=51, Resulting Numbers: [51]
51,31 unequal: No Solution
Exploring Operation: 19*32=608, Resulting Numbers: [608]
608,31 unequal: No Solution
Moving to Node #0,1,4
Current State: 31:[42, 29], Operations: ['6+4=10', '19+10=29']
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,31 unequal: No Solution
Exploring Operation: 42*29=1218, Resulting Numbers: [1218]
1218,31 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,31 unequal: No Solution
Moving to Node #0,1,2
Current State: 31:[10, 23], Operations: ['6+4=10', '42-19=23']
Exploring Operation: 10+23=33, Resulting Numbers: [33]
33,31 unequal: No Solution
Exploring Operation: 10*23=230, Resulting Numbers: [230]
230,31 unequal: No Solution
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,31 unequal: No Solution
Moving to Node #0,1,0
Current State: 31:[42, 9], Operations: ['6+4=10', '19-10=9']
Exploring Operation: 42*9=378, Resulting Numbers: [378]
378,31 unequal: No Solution
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,31 unequal: No Solution
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,31 unequal: No Solution
Moving to Node #0,1,3
Current State: 31:[19, 52], Operations: ['6+4=10', '42+10=52']
Exploring Operation: 52-19=33, Resulting Numbers: [33]
33,31 unequal: No Solution
Exploring Operation: 19*52=988, Resulting Numbers: [988]
988,31 unequal: No Solution
Exploring Operation: 19+52=71, Resulting Numbers: [71]
71,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[6, 42, 23], Operations: ['19+4=23']
Exploring Operation: 6+23=29, Resulting Numbers: [42, 29]
Generated Node #0,2,0: 31:[42, 29] Operation: 6+23=29
Exploring Operation: 42/6=7, Resulting Numbers: [23, 7]
Generated Node #0,2,1: 31:[23, 7] Operation: 42/6=7
Exploring Operation: 42-6=36, Resulting Numbers: [23, 36]
Generated Node #0,2,2: 31:[23, 36] Operation: 42-6=36
Exploring Operation: 23-6=17, Resulting Numbers: [42, 17]
Generated Node #0,2,3: 31:[42, 17] Operation: 23-6=17
Exploring Operation: 6+42=48, Resulting Numbers: [23, 48]
Generated Node #0,2,4: 31:[23, 48] Operation: 6+42=48
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 31:[42, 29], Operations: ['19+4=23', '6+23=29']
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,31 unequal: No Solution
Exploring Operation: 42*29=1218, Resulting Numbers: [1218]
1218,31 unequal: No Solution
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 31:[23, 36], Operations: ['19+4=23', '42-6=36']
Exploring Operation: 23*36=828, Resulting Numbers: [828]
828,31 unequal: No Solution
Exploring Operation: 23+36=59, Resulting Numbers: [59]
59,31 unequal: No Solution
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 31:[42, 17], Operations: ['19+4=23', '23-6=17']
Exploring Operation: 42*17=714, Resulting Numbers: [714]
714,31 unequal: No Solution
Exploring Operation: 42+17=59, Resulting Numbers: [59]
59,31 unequal: No Solution
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 31:[23, 48], Operations: ['19+4=23', '6+42=48']
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,31 unequal: No Solution
Exploring Operation: 23+48=71, Resulting Numbers: [71]
71,31 unequal: No Solution
Exploring Operation: 23*48=1104, Resulting Numbers: [1104]
1104,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 31:[23, 7], Operations: ['19+4=23', '42/6=7']
Exploring Operation: 23*7=161, Resulting Numbers: [161]
161,31 unequal: No Solution
Exploring Operation: 23+7=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 31:[19, 4, 36], Operations: ['42-6=36']
Exploring Operation: 4+36=40, Resulting Numbers: [19, 40]
Generated Node #0,3,0: 31:[19, 40] Operation: 4+36=40
Exploring Operation: 19-4=15, Resulting Numbers: [36, 15]
Generated Node #0,3,1: 31:[36, 15] Operation: 19-4=15
Exploring Operation: 36/4=9, Resulting Numbers: [19, 9]
Generated Node #0,3,2: 31:[19, 9] Operation: 36/4=9
Exploring Operation: 19+4=23, Resulting Numbers: [36, 23]
Generated Node #0,3,3: 31:[36, 23] Operation: 19+4=23
Exploring Operation: 36-4=32, Resulting Numbers: [19, 32]
Generated Node #0,3,4: 31:[19, 32] Operation: 36-4=32
Moving to Node #0,3,3
Current State: 31:[36, 23], Operations: ['42-6=36', '19+4=23']
Exploring Operation: 36+23=59, Resulting Numbers: [59]
59,31 unequal: No Solution
Exploring Operation: 36*23=828, Resulting Numbers: [828]
828,31 unequal: No Solution
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,31 unequal: No Solution
Moving to Node #0,3,4
Current State: 31:[19, 32], Operations: ['42-6=36', '36-4=32']
Exploring Operation: 19*32=608, Resulting Numbers: [608]
608,31 unequal: No Solution
Exploring Operation: 19+32=51, Resulting Numbers: [51]
51,31 unequal: No Solution
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,31 unequal: No Solution
Moving to Node #0,3,0
Current State: 31:[19, 40], Operations: ['42-6=36', '4+36=40']
Exploring Operation: 19*40=760, Resulting Numbers: [760]
760,31 unequal: No Solution
Exploring Operation: 19+40=59, Resulting Numbers: [59]
59,31 unequal: No Solution
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,31 unequal: No Solution
Moving to Node #0,3,1
Current State: 31:[36, 15], Operations: ['42-6=36', '19-4=15']
Exploring Operation: 36*15=540, Resulting Numbers: [540]
540,31 unequal: No Solution
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,31 unequal: No Solution
Exploring Operation: 36+15=51, Resulting Numbers: [51]
51,31 unequal: No Solution
Moving to Node #0,3,2
Current State: 31:[19, 9], Operations: ['42-6=36', '36/4=9']
Exploring Operation: 19*9=171, Resulting Numbers: [171]
171,31 unequal: No Solution
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,31 unequal: No Solution
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 31:[4, 42, 25], Operations: ['19+6=25']
Exploring Operation: 42-4=38, Resulting Numbers: [25, 38]
Generated Node #0,4,0: 31:[25, 38] Operation: 42-4=38
Exploring Operation: 4+25=29, Resulting Numbers: [42, 29]
Generated Node #0,4,1: 31:[42, 29] Operation: 4+25=29
Exploring Operation: 42-25=17, Resulting Numbers: [4, 17]
Generated Node #0,4,2: 31:[4, 17] Operation: 42-25=17
Exploring Operation: 4+42=46, Resulting Numbers: [25, 46]
Generated Node #0,4,3: 31:[25, 46] Operation: 4+42=46
Exploring Operation: 25-4=21, Resulting Numbers: [42, 21]
Generated Node #0,4,4: 31:[42, 21] Operation: 25-4=21
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 31:[25, 38], Operations: ['19+6=25', '42-4=38']
Exploring Operation: 25+38=63, Resulting Numbers: [63]
63,31 unequal: No Solution
Exploring Operation: 25*38=950, Resulting Numbers: [950]
950,31 unequal: No Solution
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 31:[42, 29], Operations: ['19+6=25', '4+25=29']
Exploring Operation: 42*29=1218, Resulting Numbers: [1218]
1218,31 unequal: No Solution
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,31 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 31:[25, 46], Operations: ['19+6=25', '4+42=46']
Exploring Operation: 25+46=71, Resulting Numbers: [71]
71,31 unequal: No Solution
Exploring Operation: 46-25=21, Resulting Numbers: [21]
21,31 unequal: No Solution
Exploring Operation: 25*46=1150, Resulting Numbers: [1150]
1150,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 31:[42, 21], Operations: ['19+6=25', '25-4=21']
Exploring Operation: 42*21=882, Resulting Numbers: [882]
882,31 unequal: No Solution
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,31 unequal: No Solution
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,31 unequal: No Solution
Exploring Operation: 42+21=63, Resulting Numbers: [63]
63,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 31:[4, 17], Operations: ['19+6=25', '42-25=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,31 unequal: No Solution
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,31 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
54,
30,
51,
57
] | 27 | [
"57-54=3",
"30+51=81",
"81/3=27"
] | Current State: 27:[54, 30, 51, 57], Operations: []
Exploring Operation: 57-54=3, Resulting Numbers: [30, 51, 3]
Generated Node #2: [30, 51, 3] from Operation: 57-54=3
Current State: 27:[30, 51, 3], Operations: ['57-54=3']
Exploring Operation: 30+51=81, Resulting Numbers: [3, 81]
Generated Node #3: [3, 81] from Operation: 30+51=81
Current State: 27:[3, 81], Operations: ['57-54=3', '30+51=81']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[54, 30, 51, 57], Operations: []
Exploring Operation: 57-51=6, Resulting Numbers: [54, 30, 6]
Generated Node #0,0: 27:[54, 30, 6] Operation: 57-51=6
Exploring Operation: 54-51=3, Resulting Numbers: [30, 57, 3]
Generated Node #0,1: 27:[30, 57, 3] Operation: 54-51=3
Exploring Operation: 57-54=3, Resulting Numbers: [30, 51, 3]
Generated Node #0,2: 27:[30, 51, 3] Operation: 57-54=3
Moving to Node #0,2
Current State: 27:[30, 51, 3], Operations: ['57-54=3']
Exploring Operation: 51/3=17, Resulting Numbers: [30, 17]
Generated Node #0,2,0: 27:[30, 17] Operation: 51/3=17
Exploring Operation: 51-30=21, Resulting Numbers: [3, 21]
Generated Node #0,2,1: 27:[3, 21] Operation: 51-30=21
Exploring Operation: 30-3=27, Resulting Numbers: [51, 27]
Generated Node #0,2,2: 27:[51, 27] Operation: 30-3=27
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 27:[3, 21], Operations: ['57-54=3', '51-30=21']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,27 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,27 unequal: No Solution
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,27 unequal: No Solution
No 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: 27:[30, 17], Operations: ['57-54=3', '51/3=17']
Exploring Operation: 30+17=47, Resulting Numbers: [47]
47,27 unequal: No Solution
Exploring Operation: 30*17=510, Resulting Numbers: [510]
510,27 unequal: No Solution
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,27 unequal: No Solution
No 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: 27:[51, 27], Operations: ['57-54=3', '30-3=27']
Exploring Operation: 51-27=24, Resulting Numbers: [24]
24,27 unequal: No Solution
Exploring Operation: 51+27=78, Resulting Numbers: [78]
78,27 unequal: No Solution
Exploring Operation: 51*27=1377, Resulting Numbers: [1377]
1377,27 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: 27:[54, 30, 6], Operations: ['57-51=6']
Exploring Operation: 54/6=9, Resulting Numbers: [30, 9]
Generated Node #0,0,0: 27:[30, 9] Operation: 54/6=9
Exploring Operation: 54-6=48, Resulting Numbers: [30, 48]
Generated Node #0,0,1: 27:[30, 48] Operation: 54-6=48
Exploring Operation: 54-30=24, Resulting Numbers: [6, 24]
Generated Node #0,0,2: 27:[6, 24] Operation: 54-30=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 27:[30, 9], Operations: ['57-51=6', '54/6=9']
Exploring Operation: 30+9=39, Resulting Numbers: [39]
39,27 unequal: No Solution
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 30*9=270, Resulting Numbers: [270]
270,27 unequal: No Solution
No 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: 27:[6, 24], Operations: ['57-51=6', '54-30=24']
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,27 unequal: No Solution
Exploring Operation: 6+24=30, Resulting Numbers: [30]
30,27 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,27 unequal: No Solution
No 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: 27:[30, 48], Operations: ['57-51=6', '54-6=48']
Exploring Operation: 30*48=1440, Resulting Numbers: [1440]
1440,27 unequal: No Solution
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,27 unequal: No Solution
Exploring Operation: 30+48=78, Resulting Numbers: [78]
78,27 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: 27:[30, 57, 3], Operations: ['54-51=3']
Exploring Operation: 30-3=27, Resulting Numbers: [57, 27]
Generated Node #0,1,0: 27:[57, 27] Operation: 30-3=27
Exploring Operation: 57-30=27, Resulting Numbers: [3, 27]
Generated Node #0,1,1: 27:[3, 27] Operation: 57-30=27
Exploring Operation: 57/3=19, Resulting Numbers: [30, 19]
Generated Node #0,1,2: 27:[30, 19] Operation: 57/3=19
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 27:[3, 27], Operations: ['54-51=3', '57-30=27']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,27 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,27 unequal: No Solution
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,27 unequal: No Solution
No 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: 27:[30, 19], Operations: ['54-51=3', '57/3=19']
Exploring Operation: 30*19=570, Resulting Numbers: [570]
570,27 unequal: No Solution
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,27 unequal: No Solution
Exploring Operation: 30+19=49, Resulting Numbers: [49]
49,27 unequal: No Solution
No 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: 27:[57, 27], Operations: ['54-51=3', '30-3=27']
Exploring Operation: 57*27=1539, Resulting Numbers: [1539]
1539,27 unequal: No Solution
Exploring Operation: 57+27=84, Resulting Numbers: [84]
84,27 unequal: No Solution
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
89,
15,
6,
69
] | 31 | [
"89*6=534",
"534-69=465",
"465/15=31"
] | Current State: 31:[89, 15, 6, 69], Operations: []
Exploring Operation: 89*6=534, Resulting Numbers: [15, 69, 534]
Generated Node #2: [15, 69, 534] from Operation: 89*6=534
Current State: 31:[15, 69, 534], Operations: ['89*6=534']
Exploring Operation: 534-69=465, Resulting Numbers: [15, 465]
Generated Node #3: [15, 465] from Operation: 534-69=465
Current State: 31:[15, 465], Operations: ['89*6=534', '534-69=465']
Exploring Operation: 465/15=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[89, 15, 6, 69], Operations: []
Exploring Operation: 89-69=20, Resulting Numbers: [15, 6, 20]
Generated Node #0,0: 31:[15, 6, 20] Operation: 89-69=20
Exploring Operation: 89-15=74, Resulting Numbers: [6, 69, 74]
Generated Node #0,1: 31:[6, 69, 74] Operation: 89-15=74
Exploring Operation: 89-6=83, Resulting Numbers: [15, 69, 83]
Generated Node #0,2: 31:[15, 69, 83] Operation: 89-6=83
Moving to Node #0,0
Current State: 31:[15, 6, 20], Operations: ['89-69=20']
Exploring Operation: 15+6=21, Resulting Numbers: [20, 21]
Generated Node #0,0,0: 31:[20, 21] Operation: 15+6=21
Exploring Operation: 6+20=26, Resulting Numbers: [15, 26]
Generated Node #0,0,1: 31:[15, 26] Operation: 6+20=26
Exploring Operation: 15+20=35, Resulting Numbers: [6, 35]
Generated Node #0,0,2: 31:[6, 35] Operation: 15+20=35
Moving to Node #0,1
Current State: 31:[6, 69, 74], Operations: ['89-15=74']
Exploring Operation: 74-6=68, Resulting Numbers: [69, 68]
Generated Node #0,1,0: 31:[69, 68] Operation: 74-6=68
Exploring Operation: 69-6=63, Resulting Numbers: [74, 63]
Generated Node #0,1,1: 31:[74, 63] Operation: 69-6=63
Exploring Operation: 74-69=5, Resulting Numbers: [6, 5]
Generated Node #0,1,2: 31:[6, 5] Operation: 74-69=5
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 31:[6, 5], Operations: ['89-15=74', '74-69=5']
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,31 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 31:[69, 68], Operations: ['89-15=74', '74-6=68']
Exploring Operation: 69-68=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 69*68=4692, Resulting Numbers: [4692]
4692,31 unequal: No Solution
Exploring Operation: 69+68=137, Resulting Numbers: [137]
137,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 31:[74, 63], Operations: ['89-15=74', '69-6=63']
Exploring Operation: 74*63=4662, Resulting Numbers: [4662]
4662,31 unequal: No Solution
Exploring Operation: 74-63=11, Resulting Numbers: [11]
11,31 unequal: No Solution
Exploring Operation: 74+63=137, Resulting Numbers: [137]
137,31 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: 31:[15, 69, 83], Operations: ['89-6=83']
Exploring Operation: 83-15=68, Resulting Numbers: [69, 68]
Generated Node #0,2,0: 31:[69, 68] Operation: 83-15=68
Exploring Operation: 69-15=54, Resulting Numbers: [83, 54]
Generated Node #0,2,1: 31:[83, 54] Operation: 69-15=54
Exploring Operation: 83-69=14, Resulting Numbers: [15, 14]
Generated Node #0,2,2: 31:[15, 14] Operation: 83-69=14
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 31:[15, 14], Operations: ['89-6=83', '83-69=14']
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,31 unequal: No Solution
Exploring Operation: 15*14=210, Resulting Numbers: [210]
210,31 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 31:[69, 68], Operations: ['89-6=83', '83-15=68']
Exploring Operation: 69-68=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Exploring Operation: 69+68=137, Resulting Numbers: [137]
137,31 unequal: No Solution
Exploring Operation: 69*68=4692, Resulting Numbers: [4692]
4692,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 31:[83, 54], Operations: ['89-6=83', '69-15=54']
Exploring Operation: 83-54=29, Resulting Numbers: [29]
29,31 unequal: No Solution
Exploring Operation: 83+54=137, Resulting Numbers: [137]
137,31 unequal: No Solution
Exploring Operation: 83*54=4482, Resulting Numbers: [4482]
4482,31 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: 31:[20, 21], Operations: ['89-69=20', '15+6=21']
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,31 unequal: No Solution
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,31 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[15, 26], Operations: ['89-69=20', '6+20=26']
Exploring Operation: 15+26=41, Resulting Numbers: [41]
41,31 unequal: No Solution
Exploring Operation: 15*26=390, Resulting Numbers: [390]
390,31 unequal: No Solution
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[6, 35], Operations: ['89-69=20', '15+20=35']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,31 unequal: No Solution
Exploring Operation: 6+35=41, Resulting Numbers: [41]
41,31 unequal: No Solution
Exploring Operation: 6*35=210, Resulting Numbers: [210]
210,31 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
60,
24,
20,
11
] | 88 | [
"60/20=3",
"24*11=264",
"264/3=88"
] | Current State: 88:[60, 24, 20, 11], Operations: []
Exploring Operation: 60/20=3, Resulting Numbers: [24, 11, 3]
Generated Node #2: [24, 11, 3] from Operation: 60/20=3
Current State: 88:[24, 11, 3], Operations: ['60/20=3']
Exploring Operation: 24*11=264, Resulting Numbers: [3, 264]
Generated Node #3: [3, 264] from Operation: 24*11=264
Current State: 88:[3, 264], Operations: ['60/20=3', '24*11=264']
Exploring Operation: 264/3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[60, 24, 20, 11], Operations: []
Exploring Operation: 60/20=3, Resulting Numbers: [24, 11, 3]
Generated Node #0,0: 88:[24, 11, 3] Operation: 60/20=3
Exploring Operation: 60+24=84, Resulting Numbers: [20, 11, 84]
Generated Node #0,1: 88:[20, 11, 84] Operation: 60+24=84
Exploring Operation: 60-20=40, Resulting Numbers: [24, 11, 40]
Generated Node #0,2: 88:[24, 11, 40] Operation: 60-20=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[24, 11, 3], Operations: ['60/20=3']
Exploring Operation: 24/3=8, Resulting Numbers: [11, 8]
Generated Node #0,0,0: 88:[11, 8] Operation: 24/3=8
Exploring Operation: 24-3=21, Resulting Numbers: [11, 21]
Generated Node #0,0,1: 88:[11, 21] Operation: 24-3=21
Exploring Operation: 11-3=8, Resulting Numbers: [24, 8]
Generated Node #0,0,2: 88:[24, 8] Operation: 11-3=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[11, 8], Operations: ['60/20=3', '24/3=8']
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[60, 24, 20, 11], Operations: []
Exploring Operation: 60/20=3, Resulting Numbers: [24, 11, 3]
Generated Node #0,0: 88:[24, 11, 3] Operation: 60/20=3
Moving to Node #0,0
Current State: 88:[24, 11, 3], Operations: ['60/20=3']
Exploring Operation: 24/3=8, Resulting Numbers: [11, 8]
Generated Node #0,0,0: 88:[11, 8] Operation: 24/3=8
Moving to Node #0,0,0
Current State: 88:[11, 8], Operations: ['60/20=3', '24/3=8']
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
37,
76,
2,
31
] | 53 | [
"76-31=45",
"2*45=90",
"90-37=53"
] | Current State: 53:[37, 76, 2, 31], Operations: []
Exploring Operation: 76-31=45, Resulting Numbers: [37, 2, 45]
Generated Node #2: [37, 2, 45] from Operation: 76-31=45
Current State: 53:[37, 2, 45], Operations: ['76-31=45']
Exploring Operation: 2*45=90, Resulting Numbers: [37, 90]
Generated Node #3: [37, 90] from Operation: 2*45=90
Current State: 53:[37, 90], Operations: ['76-31=45', '2*45=90']
Exploring Operation: 90-37=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[37, 76, 2, 31], Operations: []
Exploring Operation: 76/2=38, Resulting Numbers: [37, 31, 38]
Generated Node #0,0: 53:[37, 31, 38] Operation: 76/2=38
Exploring Operation: 37+2=39, Resulting Numbers: [76, 31, 39]
Generated Node #0,1: 53:[76, 31, 39] Operation: 37+2=39
Exploring Operation: 2*31=62, Resulting Numbers: [37, 76, 62]
Generated Node #0,2: 53:[37, 76, 62] Operation: 2*31=62
Exploring Operation: 76-2=74, Resulting Numbers: [37, 31, 74]
Generated Node #0,3: 53:[37, 31, 74] Operation: 76-2=74
Exploring Operation: 2+31=33, Resulting Numbers: [37, 76, 33]
Generated Node #0,4: 53:[37, 76, 33] Operation: 2+31=33
Moving to Node #0,2
Current State: 53:[37, 76, 62], Operations: ['2*31=62']
Exploring Operation: 76-62=14, Resulting Numbers: [37, 14]
Generated Node #0,2,0: 53:[37, 14] Operation: 76-62=14
Exploring Operation: 37+62=99, Resulting Numbers: [76, 99]
Generated Node #0,2,1: 53:[76, 99] Operation: 37+62=99
Exploring Operation: 62-37=25, Resulting Numbers: [76, 25]
Generated Node #0,2,2: 53:[76, 25] Operation: 62-37=25
Exploring Operation: 76-37=39, Resulting Numbers: [62, 39]
Generated Node #0,2,3: 53:[62, 39] Operation: 76-37=39
Exploring Operation: 37+76=113, Resulting Numbers: [62, 113]
Generated Node #0,2,4: 53:[62, 113] Operation: 37+76=113
Moving to Node #0,0
Current State: 53:[37, 31, 38], Operations: ['76/2=38']
Exploring Operation: 38-31=7, Resulting Numbers: [37, 7]
Generated Node #0,0,0: 53:[37, 7] Operation: 38-31=7
Exploring Operation: 37-31=6, Resulting Numbers: [38, 6]
Generated Node #0,0,1: 53:[38, 6] Operation: 37-31=6
Exploring Operation: 37+38=75, Resulting Numbers: [31, 75]
Generated Node #0,0,2: 53:[31, 75] Operation: 37+38=75
Exploring Operation: 37+31=68, Resulting Numbers: [38, 68]
Generated Node #0,0,3: 53:[38, 68] Operation: 37+31=68
Exploring Operation: 31+38=69, Resulting Numbers: [37, 69]
Generated Node #0,0,4: 53:[37, 69] Operation: 31+38=69
Moving to Node #0,1
Current State: 53:[76, 31, 39], Operations: ['37+2=39']
Exploring Operation: 76-39=37, Resulting Numbers: [31, 37]
Generated Node #0,1,0: 53:[31, 37] Operation: 76-39=37
Exploring Operation: 76-31=45, Resulting Numbers: [39, 45]
Generated Node #0,1,1: 53:[39, 45] Operation: 76-31=45
Exploring Operation: 39-31=8, Resulting Numbers: [76, 8]
Generated Node #0,1,2: 53:[76, 8] Operation: 39-31=8
Exploring Operation: 76+31=107, Resulting Numbers: [39, 107]
Generated Node #0,1,3: 53:[39, 107] Operation: 76+31=107
Exploring Operation: 31+39=70, Resulting Numbers: [76, 70]
Generated Node #0,1,4: 53:[76, 70] Operation: 31+39=70
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 53:[39, 45], Operations: ['37+2=39', '76-31=45']
Exploring Operation: 39*45=1755, Resulting Numbers: [1755]
1755,53 unequal: No Solution
Exploring Operation: 45-39=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 39+45=84, Resulting Numbers: [84]
84,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 53:[31, 37], Operations: ['37+2=39', '76-39=37']
Exploring Operation: 31+37=68, Resulting Numbers: [68]
68,53 unequal: No Solution
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 31*37=1147, Resulting Numbers: [1147]
1147,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 53:[76, 70], Operations: ['37+2=39', '31+39=70']
Exploring Operation: 76+70=146, Resulting Numbers: [146]
146,53 unequal: No Solution
Exploring Operation: 76-70=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 76*70=5320, Resulting Numbers: [5320]
5320,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 53:[76, 8], Operations: ['37+2=39', '39-31=8']
Exploring Operation: 76*8=608, Resulting Numbers: [608]
608,53 unequal: No Solution
Exploring Operation: 76-8=68, Resulting Numbers: [68]
68,53 unequal: No Solution
Exploring Operation: 76+8=84, Resulting Numbers: [84]
84,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 53:[39, 107], Operations: ['37+2=39', '76+31=107']
Exploring Operation: 39*107=4173, Resulting Numbers: [4173]
4173,53 unequal: No Solution
Exploring Operation: 107-39=68, Resulting Numbers: [68]
68,53 unequal: No Solution
Exploring Operation: 39+107=146, Resulting Numbers: [146]
146,53 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: 53:[37, 31, 74], Operations: ['76-2=74']
Exploring Operation: 74-31=43, Resulting Numbers: [37, 43]
Generated Node #0,3,0: 53:[37, 43] Operation: 74-31=43
Exploring Operation: 74-37=37, Resulting Numbers: [31, 37]
Generated Node #0,3,1: 53:[31, 37] Operation: 74-37=37
Exploring Operation: 37+31=68, Resulting Numbers: [74, 68]
Generated Node #0,3,2: 53:[74, 68] Operation: 37+31=68
Exploring Operation: 31+74=105, Resulting Numbers: [37, 105]
Generated Node #0,3,3: 53:[37, 105] Operation: 31+74=105
Exploring Operation: 37-31=6, Resulting Numbers: [74, 6]
Generated Node #0,3,4: 53:[74, 6] Operation: 37-31=6
Moving to Node #0,4
Current State: 53:[37, 76, 33], Operations: ['2+31=33']
Exploring Operation: 76+33=109, Resulting Numbers: [37, 109]
Generated Node #0,4,0: 53:[37, 109] Operation: 76+33=109
Exploring Operation: 37-33=4, Resulting Numbers: [76, 4]
Generated Node #0,4,1: 53:[76, 4] Operation: 37-33=4
Exploring Operation: 76-37=39, Resulting Numbers: [33, 39]
Generated Node #0,4,2: 53:[33, 39] Operation: 76-37=39
Exploring Operation: 37+33=70, Resulting Numbers: [76, 70]
Generated Node #0,4,3: 53:[76, 70] Operation: 37+33=70
Exploring Operation: 76-33=43, Resulting Numbers: [37, 43]
Generated Node #0,4,4: 53:[37, 43] Operation: 76-33=43
Moving to Node #0,2,3
Current State: 53:[62, 39], Operations: ['2*31=62', '76-37=39']
Exploring Operation: 62*39=2418, Resulting Numbers: [2418]
2418,53 unequal: No Solution
Exploring Operation: 62-39=23, Resulting Numbers: [23]
23,53 unequal: No Solution
Exploring Operation: 62+39=101, Resulting Numbers: [101]
101,53 unequal: No Solution
Moving to Node #0,3,0
Current State: 53:[37, 43], Operations: ['76-2=74', '74-31=43']
Exploring Operation: 37*43=1591, Resulting Numbers: [1591]
1591,53 unequal: No Solution
Exploring Operation: 37+43=80, Resulting Numbers: [80]
80,53 unequal: No Solution
Exploring Operation: 43-37=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Moving to Node #0,4,4
Current State: 53:[37, 43], Operations: ['2+31=33', '76-33=43']
Exploring Operation: 43-37=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 37+43=80, Resulting Numbers: [80]
80,53 unequal: No Solution
Exploring Operation: 37*43=1591, Resulting Numbers: [1591]
1591,53 unequal: No Solution
Moving to Node #0,0,3
Current State: 53:[38, 68], Operations: ['76/2=38', '37+31=68']
Exploring Operation: 38+68=106, Resulting Numbers: [106]
106,53 unequal: No Solution
Exploring Operation: 68-38=30, Resulting Numbers: [30]
30,53 unequal: No Solution
Exploring Operation: 38*68=2584, Resulting Numbers: [2584]
2584,53 unequal: No Solution
Moving to Node #0,0,4
Current State: 53:[37, 69], Operations: ['76/2=38', '31+38=69']
Exploring Operation: 37+69=106, Resulting Numbers: [106]
106,53 unequal: No Solution
Exploring Operation: 69-37=32, Resulting Numbers: [32]
32,53 unequal: No Solution
Exploring Operation: 37*69=2553, Resulting Numbers: [2553]
2553,53 unequal: No Solution
Moving to Node #0,4,2
Current State: 53:[33, 39], Operations: ['2+31=33', '76-37=39']
Exploring Operation: 33+39=72, Resulting Numbers: [72]
72,53 unequal: No Solution
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 33*39=1287, Resulting Numbers: [1287]
1287,53 unequal: No Solution
Moving to Node #0,3,2
Current State: 53:[74, 68], Operations: ['76-2=74', '37+31=68']
Exploring Operation: 74+68=142, Resulting Numbers: [142]
142,53 unequal: No Solution
Exploring Operation: 74*68=5032, Resulting Numbers: [5032]
5032,53 unequal: No Solution
Exploring Operation: 74-68=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Moving to Node #0,3,1
Current State: 53:[31, 37], Operations: ['76-2=74', '74-37=37']
Exploring Operation: 37-31=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 31*37=1147, Resulting Numbers: [1147]
1147,53 unequal: No Solution
Exploring Operation: 31+37=68, Resulting Numbers: [68]
68,53 unequal: No Solution
Moving to Node #0,4,3
Current State: 53:[76, 70], Operations: ['2+31=33', '37+33=70']
Exploring Operation: 76-70=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 76+70=146, Resulting Numbers: [146]
146,53 unequal: No Solution
Exploring Operation: 76*70=5320, Resulting Numbers: [5320]
5320,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[31, 75], Operations: ['76/2=38', '37+38=75']
Exploring Operation: 31+75=106, Resulting Numbers: [106]
106,53 unequal: No Solution
Exploring Operation: 75-31=44, Resulting Numbers: [44]
44,53 unequal: No Solution
Exploring Operation: 31*75=2325, Resulting Numbers: [2325]
2325,53 unequal: No Solution
Moving to Node #0,2,2
Current State: 53:[76, 25], Operations: ['2*31=62', '62-37=25']
Exploring Operation: 76+25=101, Resulting Numbers: [101]
101,53 unequal: No Solution
Exploring Operation: 76-25=51, Resulting Numbers: [51]
51,53 unequal: No Solution
Exploring Operation: 76*25=1900, Resulting Numbers: [1900]
1900,53 unequal: No Solution
Moving to Node #0,2,0
Current State: 53:[37, 14], Operations: ['2*31=62', '76-62=14']
Exploring Operation: 37*14=518, Resulting Numbers: [518]
518,53 unequal: No Solution
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,53 unequal: No Solution
Exploring Operation: 37+14=51, Resulting Numbers: [51]
51,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[38, 6], Operations: ['76/2=38', '37-31=6']
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,53 unequal: No Solution
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,53 unequal: No Solution
Exploring Operation: 38*6=228, Resulting Numbers: [228]
228,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[37, 7], Operations: ['76/2=38', '38-31=7']
Exploring Operation: 37+7=44, Resulting Numbers: [44]
44,53 unequal: No Solution
Exploring Operation: 37*7=259, Resulting Numbers: [259]
259,53 unequal: No Solution
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,53 unequal: No Solution
Moving to Node #0,3,4
Current State: 53:[74, 6], Operations: ['76-2=74', '37-31=6']
Exploring Operation: 74-6=68, Resulting Numbers: [68]
68,53 unequal: No Solution
Exploring Operation: 74*6=444, Resulting Numbers: [444]
444,53 unequal: No Solution
Exploring Operation: 74+6=80, Resulting Numbers: [80]
80,53 unequal: No Solution
Moving to Node #0,3,3
Current State: 53:[37, 105], Operations: ['76-2=74', '31+74=105']
Exploring Operation: 37+105=142, Resulting Numbers: [142]
142,53 unequal: No Solution
Exploring Operation: 105-37=68, Resulting Numbers: [68]
68,53 unequal: No Solution
Exploring Operation: 37*105=3885, Resulting Numbers: [3885]
3885,53 unequal: No Solution
Moving to Node #0,2,4
Current State: 53:[62, 113], Operations: ['2*31=62', '37+76=113']
Exploring Operation: 62*113=7006, Resulting Numbers: [7006]
7006,53 unequal: No Solution
Exploring Operation: 62+113=175, Resulting Numbers: [175]
175,53 unequal: No Solution
Exploring Operation: 113-62=51, Resulting Numbers: [51]
51,53 unequal: No Solution
Moving to Node #0,2,1
Current State: 53:[76, 99], Operations: ['2*31=62', '37+62=99']
Exploring Operation: 76*99=7524, Resulting Numbers: [7524]
7524,53 unequal: No Solution
Exploring Operation: 99-76=23, Resulting Numbers: [23]
23,53 unequal: No Solution
Exploring Operation: 76+99=175, Resulting Numbers: [175]
175,53 unequal: No Solution
Moving to Node #0,4,0
Current State: 53:[37, 109], Operations: ['2+31=33', '76+33=109']
Exploring Operation: 37*109=4033, Resulting Numbers: [4033]
4033,53 unequal: No Solution
Exploring Operation: 109-37=72, Resulting Numbers: [72]
72,53 unequal: No Solution
Exploring Operation: 37+109=146, Resulting Numbers: [146]
146,53 unequal: No Solution
Moving to Node #0,4,1
Current State: 53:[76, 4], Operations: ['2+31=33', '37-33=4']
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Exploring Operation: 76*4=304, Resulting Numbers: [304]
304,53 unequal: No Solution
Exploring Operation: 76+4=80, Resulting Numbers: [80]
80,53 unequal: No Solution
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,53 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
99,
18,
10,
7
] | 64 | [
"99-18=81",
"10+7=17",
"81-17=64"
] | Current State: 64:[99, 18, 10, 7], Operations: []
Exploring Operation: 99-18=81, Resulting Numbers: [10, 7, 81]
Generated Node #2: [10, 7, 81] from Operation: 99-18=81
Current State: 64:[10, 7, 81], Operations: ['99-18=81']
Exploring Operation: 10+7=17, Resulting Numbers: [81, 17]
Generated Node #3: [81, 17] from Operation: 10+7=17
Current State: 64:[81, 17], Operations: ['99-18=81', '10+7=17']
Exploring Operation: 81-17=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[99, 18, 10, 7], Operations: []
Exploring Operation: 99-10=89, Resulting Numbers: [18, 7, 89]
Generated Node #0,0: 64:[18, 7, 89] Operation: 99-10=89
Exploring Operation: 99-18=81, Resulting Numbers: [10, 7, 81]
Generated Node #0,1: 64:[10, 7, 81] Operation: 99-18=81
Exploring Operation: 99-7=92, Resulting Numbers: [18, 10, 92]
Generated Node #0,2: 64:[18, 10, 92] Operation: 99-7=92
Exploring Operation: 10+7=17, Resulting Numbers: [99, 18, 17]
Generated Node #0,3: 64:[99, 18, 17] Operation: 10+7=17
Exploring Operation: 18-10=8, Resulting Numbers: [99, 7, 8]
Generated Node #0,4: 64:[99, 7, 8] Operation: 18-10=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[10, 7, 81], Operations: ['99-18=81']
Exploring Operation: 81-10=71, Resulting Numbers: [7, 71]
Generated Node #0,1,0: 64:[7, 71] Operation: 81-10=71
Exploring Operation: 10-7=3, Resulting Numbers: [81, 3]
Generated Node #0,1,1: 64:[81, 3] Operation: 10-7=3
Exploring Operation: 81-7=74, Resulting Numbers: [10, 74]
Generated Node #0,1,2: 64:[10, 74] Operation: 81-7=74
Exploring Operation: 10*7=70, Resulting Numbers: [81, 70]
Generated Node #0,1,3: 64:[81, 70] Operation: 10*7=70
Exploring Operation: 10+7=17, Resulting Numbers: [81, 17]
Generated Node #0,1,4: 64:[81, 17] Operation: 10+7=17
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 64:[7, 71], Operations: ['99-18=81', '81-10=71']
Exploring Operation: 7+71=78, Resulting Numbers: [78]
78,64 unequal: No Solution
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[99, 18, 10, 7], Operations: []
Exploring Operation: 99-18=81, Resulting Numbers: [10, 7, 81]
Generated Node #0,1: 64:[10, 7, 81] Operation: 99-18=81
Moving to Node #0,1
Current State: 64:[10, 7, 81], Operations: ['99-18=81']
Exploring Operation: 81-10=71, Resulting Numbers: [7, 71]
Generated Node #0,1,0: 64:[7, 71] Operation: 81-10=71
Moving to Node #0,1,0
Current State: 64:[7, 71], Operations: ['99-18=81', '81-10=71']
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
46,
50,
50,
23
] | 68 | [
"46+23=69",
"50/50=1",
"69-1=68"
] | Current State: 68:[46, 50, 50, 23], Operations: []
Exploring Operation: 46+23=69, Resulting Numbers: [50, 50, 69]
Generated Node #2: [50, 50, 69] from Operation: 46+23=69
Current State: 68:[50, 50, 69], Operations: ['46+23=69']
Exploring Operation: 50/50=1, Resulting Numbers: [69, 1]
Generated Node #3: [69, 1] from Operation: 50/50=1
Current State: 68:[69, 1], Operations: ['46+23=69', '50/50=1']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[46, 50, 50, 23], Operations: []
Exploring Operation: 50/50=1, Resulting Numbers: [46, 23, 1]
Generated Node #0,0: 68:[46, 23, 1] Operation: 50/50=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[46, 23, 1], Operations: ['50/50=1']
Exploring Operation: 46/23=2, Resulting Numbers: [1, 2]
Generated Node #0,0,0: 68:[1, 2] Operation: 46/23=2
Moving to Node #0,0,0
Current State: 68:[1, 2], Operations: ['50/50=1', '46/23=2']
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,68 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 |
[
20,
94,
78,
57
] | 95 | [
"94-20=74",
"78-57=21",
"74+21=95"
] | Current State: 95:[20, 94, 78, 57], Operations: []
Exploring Operation: 94-20=74, Resulting Numbers: [78, 57, 74]
Generated Node #2: [78, 57, 74] from Operation: 94-20=74
Current State: 95:[78, 57, 74], Operations: ['94-20=74']
Exploring Operation: 78-57=21, Resulting Numbers: [74, 21]
Generated Node #3: [74, 21] from Operation: 78-57=21
Current State: 95:[74, 21], Operations: ['94-20=74', '78-57=21']
Exploring Operation: 74+21=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[20, 94, 78, 57], Operations: []
Exploring Operation: 94-57=37, Resulting Numbers: [20, 78, 37]
Generated Node #0,0: 95:[20, 78, 37] Operation: 94-57=37
Exploring Operation: 78-57=21, Resulting Numbers: [20, 94, 21]
Generated Node #0,1: 95:[20, 94, 21] Operation: 78-57=21
Exploring Operation: 57-20=37, Resulting Numbers: [94, 78, 37]
Generated Node #0,2: 95:[94, 78, 37] Operation: 57-20=37
Exploring Operation: 20+57=77, Resulting Numbers: [94, 78, 77]
Generated Node #0,3: 95:[94, 78, 77] Operation: 20+57=77
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[20, 94, 21], Operations: ['78-57=21']
Exploring Operation: 20+94=114, Resulting Numbers: [21, 114]
Generated Node #0,1,0: 95:[21, 114] Operation: 20+94=114
Exploring Operation: 21-20=1, Resulting Numbers: [94, 1]
Generated Node #0,1,1: 95:[94, 1] Operation: 21-20=1
Exploring Operation: 94+21=115, Resulting Numbers: [20, 115]
Generated Node #0,1,2: 95:[20, 115] Operation: 94+21=115
Exploring Operation: 94-20=74, Resulting Numbers: [21, 74]
Generated Node #0,1,3: 95:[21, 74] Operation: 94-20=74
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 95:[94, 1], Operations: ['78-57=21', '21-20=1']
Exploring Operation: 94+1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[20, 94, 78, 57], Operations: []
Exploring Operation: 78-57=21, Resulting Numbers: [20, 94, 21]
Generated Node #0,1: 95:[20, 94, 21] Operation: 78-57=21
Moving to Node #0,1
Current State: 95:[20, 94, 21], Operations: ['78-57=21']
Exploring Operation: 21-20=1, Resulting Numbers: [94, 1]
Generated Node #0,1,1: 95:[94, 1] Operation: 21-20=1
Moving to Node #0,1,1
Current State: 95:[94, 1], Operations: ['78-57=21', '21-20=1']
Exploring Operation: 94+1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
89,
71,
4,
8
] | 42 | [
"89+71=160",
"8+160=168",
"168/4=42"
] | Current State: 42:[89, 71, 4, 8], Operations: []
Exploring Operation: 89+71=160, Resulting Numbers: [4, 8, 160]
Generated Node #2: [4, 8, 160] from Operation: 89+71=160
Current State: 42:[4, 8, 160], Operations: ['89+71=160']
Exploring Operation: 8+160=168, Resulting Numbers: [4, 168]
Generated Node #3: [4, 168] from Operation: 8+160=168
Current State: 42:[4, 168], Operations: ['89+71=160', '8+160=168']
Exploring Operation: 168/4=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[89, 71, 4, 8], Operations: []
Exploring Operation: 89-71=18, Resulting Numbers: [4, 8, 18]
Generated Node #0,0: 42:[4, 8, 18] Operation: 89-71=18
Moving to Node #0,0
Current State: 42:[4, 8, 18], Operations: ['89-71=18']
Exploring Operation: 18-4=14, Resulting Numbers: [8, 14]
Generated Node #0,0,0: 42:[8, 14] Operation: 18-4=14
Moving to Node #0,0,0
Current State: 42:[8, 14], Operations: ['89-71=18', '18-4=14']
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,42 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
3,
17,
32,
21
] | 87 | [
"21/3=7",
"17*7=119",
"119-32=87"
] | Current State: 87:[3, 17, 32, 21], Operations: []
Exploring Operation: 21/3=7, Resulting Numbers: [17, 32, 7]
Generated Node #2: [17, 32, 7] from Operation: 21/3=7
Current State: 87:[17, 32, 7], Operations: ['21/3=7']
Exploring Operation: 17*7=119, Resulting Numbers: [32, 119]
Generated Node #3: [32, 119] from Operation: 17*7=119
Current State: 87:[32, 119], Operations: ['21/3=7', '17*7=119']
Exploring Operation: 119-32=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[3, 17, 32, 21], Operations: []
Exploring Operation: 17+21=38, Resulting Numbers: [3, 32, 38]
Generated Node #0,0: 87:[3, 32, 38] Operation: 17+21=38
Exploring Operation: 21/3=7, Resulting Numbers: [17, 32, 7]
Generated Node #0,1: 87:[17, 32, 7] Operation: 21/3=7
Exploring Operation: 3+17=20, Resulting Numbers: [32, 21, 20]
Generated Node #0,2: 87:[32, 21, 20] Operation: 3+17=20
Exploring Operation: 21-17=4, Resulting Numbers: [3, 32, 4]
Generated Node #0,3: 87:[3, 32, 4] Operation: 21-17=4
Moving to Node #0,3
Current State: 87:[3, 32, 4], Operations: ['21-17=4']
Exploring Operation: 32-4=28, Resulting Numbers: [3, 28]
Generated Node #0,3,0: 87:[3, 28] Operation: 32-4=28
Exploring Operation: 32/4=8, Resulting Numbers: [3, 8]
Generated Node #0,3,1: 87:[3, 8] Operation: 32/4=8
Exploring Operation: 4-3=1, Resulting Numbers: [32, 1]
Generated Node #0,3,2: 87:[32, 1] Operation: 4-3=1
Exploring Operation: 32-3=29, Resulting Numbers: [4, 29]
Generated Node #0,3,3: 87:[4, 29] Operation: 32-3=29
Moving to Node #0,0
Current State: 87:[3, 32, 38], Operations: ['17+21=38']
Exploring Operation: 3+32=35, Resulting Numbers: [38, 35]
Generated Node #0,0,0: 87:[38, 35] Operation: 3+32=35
Exploring Operation: 32-3=29, Resulting Numbers: [38, 29]
Generated Node #0,0,1: 87:[38, 29] Operation: 32-3=29
Exploring Operation: 38-3=35, Resulting Numbers: [32, 35]
Generated Node #0,0,2: 87:[32, 35] Operation: 38-3=35
Exploring Operation: 38-32=6, Resulting Numbers: [3, 6]
Generated Node #0,0,3: 87:[3, 6] Operation: 38-32=6
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 87:[3, 6], Operations: ['17+21=38', '38-32=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,87 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,87 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 87:[38, 29], Operations: ['17+21=38', '32-3=29']
Exploring Operation: 38*29=1102, Resulting Numbers: [1102]
1102,87 unequal: No Solution
Exploring Operation: 38-29=9, Resulting Numbers: [9]
9,87 unequal: No Solution
Exploring Operation: 38+29=67, Resulting Numbers: [67]
67,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 87:[32, 35], Operations: ['17+21=38', '38-3=35']
Exploring Operation: 32*35=1120, Resulting Numbers: [1120]
1120,87 unequal: No Solution
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Exploring Operation: 32+35=67, Resulting Numbers: [67]
67,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 87:[38, 35], Operations: ['17+21=38', '3+32=35']
Exploring Operation: 38*35=1330, Resulting Numbers: [1330]
1330,87 unequal: No Solution
Exploring Operation: 38+35=73, Resulting Numbers: [73]
73,87 unequal: No Solution
Exploring Operation: 38-35=3, Resulting Numbers: [3]
3,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 87:[17, 32, 7], Operations: ['21/3=7']
Exploring Operation: 17+7=24, Resulting Numbers: [32, 24]
Generated Node #0,1,0: 87:[32, 24] Operation: 17+7=24
Exploring Operation: 17-7=10, Resulting Numbers: [32, 10]
Generated Node #0,1,1: 87:[32, 10] Operation: 17-7=10
Exploring Operation: 32-7=25, Resulting Numbers: [17, 25]
Generated Node #0,1,2: 87:[17, 25] Operation: 32-7=25
Exploring Operation: 32-17=15, Resulting Numbers: [7, 15]
Generated Node #0,1,3: 87:[7, 15] Operation: 32-17=15
Moving to Node #0,2
Current State: 87:[32, 21, 20], Operations: ['3+17=20']
Exploring Operation: 21+20=41, Resulting Numbers: [32, 41]
Generated Node #0,2,0: 87:[32, 41] Operation: 21+20=41
Exploring Operation: 32-21=11, Resulting Numbers: [20, 11]
Generated Node #0,2,1: 87:[20, 11] Operation: 32-21=11
Exploring Operation: 21-20=1, Resulting Numbers: [32, 1]
Generated Node #0,2,2: 87:[32, 1] Operation: 21-20=1
Exploring Operation: 32-20=12, Resulting Numbers: [21, 12]
Generated Node #0,2,3: 87:[21, 12] Operation: 32-20=12
Moving to Node #0,3,0
Current State: 87:[3, 28], Operations: ['21-17=4', '32-4=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,87 unequal: No Solution
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,87 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Moving to Node #0,3,3
Current State: 87:[4, 29], Operations: ['21-17=4', '32-3=29']
Exploring Operation: 4*29=116, Resulting Numbers: [116]
116,87 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,87 unequal: No Solution
Moving to Node #0,3,1
Current State: 87:[3, 8], Operations: ['21-17=4', '32/4=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,87 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,87 unequal: No Solution
Moving to Node #0,3,2
Current State: 87:[32, 1], Operations: ['21-17=4', '4-3=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,87 unequal: No Solution
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,87 unequal: No Solution
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Exploring Operation: 32*1=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Moving to Node #0,2,2
Current State: 87:[32, 1], Operations: ['3+17=20', '21-20=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,87 unequal: No Solution
Exploring Operation: 32*1=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,87 unequal: No Solution
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,87 unequal: No Solution
Moving to Node #0,1,0
Current State: 87:[32, 24], Operations: ['21/3=7', '17+7=24']
Exploring Operation: 32+24=56, Resulting Numbers: [56]
56,87 unequal: No Solution
Exploring Operation: 32*24=768, Resulting Numbers: [768]
768,87 unequal: No Solution
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[32, 10], Operations: ['21/3=7', '17-7=10']
Exploring Operation: 32*10=320, Resulting Numbers: [320]
320,87 unequal: No Solution
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,87 unequal: No Solution
Exploring Operation: 32+10=42, Resulting Numbers: [42]
42,87 unequal: No Solution
Moving to Node #0,2,0
Current State: 87:[32, 41], Operations: ['3+17=20', '21+20=41']
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,87 unequal: No Solution
Exploring Operation: 32+41=73, Resulting Numbers: [73]
73,87 unequal: No Solution
Exploring Operation: 32*41=1312, Resulting Numbers: [1312]
1312,87 unequal: No Solution
Moving to Node #0,1,2
Current State: 87:[17, 25], Operations: ['21/3=7', '32-7=25']
Exploring Operation: 17+25=42, Resulting Numbers: [42]
42,87 unequal: No Solution
Exploring Operation: 25-17=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Exploring Operation: 17*25=425, Resulting Numbers: [425]
425,87 unequal: No Solution
Moving to Node #0,1,3
Current State: 87:[7, 15], Operations: ['21/3=7', '32-17=15']
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Exploring Operation: 7*15=105, Resulting Numbers: [105]
105,87 unequal: No Solution
Exploring Operation: 7+15=22, Resulting Numbers: [22]
22,87 unequal: No Solution
Moving to Node #0,2,1
Current State: 87:[20, 11], Operations: ['3+17=20', '32-21=11']
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,87 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,87 unequal: No Solution
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,87 unequal: No Solution
Moving to Node #0,2,3
Current State: 87:[21, 12], Operations: ['3+17=20', '32-20=12']
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,87 unequal: No Solution
Exploring Operation: 21*12=252, Resulting Numbers: [252]
252,87 unequal: No Solution
Exploring Operation: 21+12=33, Resulting Numbers: [33]
33,87 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
23,
3,
8,
53
] | 82 | [
"53-23=30",
"3*30=90",
"90-8=82"
] | Current State: 82:[23, 3, 8, 53], Operations: []
Exploring Operation: 53-23=30, Resulting Numbers: [3, 8, 30]
Generated Node #2: [3, 8, 30] from Operation: 53-23=30
Current State: 82:[3, 8, 30], Operations: ['53-23=30']
Exploring Operation: 3*30=90, Resulting Numbers: [8, 90]
Generated Node #3: [8, 90] from Operation: 3*30=90
Current State: 82:[8, 90], Operations: ['53-23=30', '3*30=90']
Exploring Operation: 90-8=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[23, 3, 8, 53], Operations: []
Exploring Operation: 23-8=15, Resulting Numbers: [3, 53, 15]
Generated Node #0,0: 82:[3, 53, 15] Operation: 23-8=15
Exploring Operation: 23+8=31, Resulting Numbers: [3, 53, 31]
Generated Node #0,1: 82:[3, 53, 31] Operation: 23+8=31
Exploring Operation: 53-23=30, Resulting Numbers: [3, 8, 30]
Generated Node #0,2: 82:[3, 8, 30] Operation: 53-23=30
Exploring Operation: 23+53=76, Resulting Numbers: [3, 8, 76]
Generated Node #0,3: 82:[3, 8, 76] Operation: 23+53=76
Exploring Operation: 53-8=45, Resulting Numbers: [23, 3, 45]
Generated Node #0,4: 82:[23, 3, 45] Operation: 53-8=45
Start Sub Search at level 1: Moving to Node #0,3
Current State: 82:[3, 8, 76], Operations: ['23+53=76']
Exploring Operation: 76-3=73, Resulting Numbers: [8, 73]
Generated Node #0,3,0: 82:[8, 73] Operation: 76-3=73
Exploring Operation: 8+76=84, Resulting Numbers: [3, 84]
Generated Node #0,3,1: 82:[3, 84] Operation: 8+76=84
Exploring Operation: 3+8=11, Resulting Numbers: [76, 11]
Generated Node #0,3,2: 82:[76, 11] Operation: 3+8=11
Exploring Operation: 3+76=79, Resulting Numbers: [8, 79]
Generated Node #0,3,3: 82:[8, 79] Operation: 3+76=79
Exploring Operation: 8-3=5, Resulting Numbers: [76, 5]
Generated Node #0,3,4: 82:[76, 5] Operation: 8-3=5
Moving to Node #0,3,1
Current State: 82:[3, 84], Operations: ['23+53=76', '8+76=84']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Exploring Operation: 3+84=87, Resulting Numbers: [87]
87,82 unequal: No Solution
Exploring Operation: 3*84=252, Resulting Numbers: [252]
252,82 unequal: No Solution
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,82 unequal: No Solution
Moving to Node #0,3,4
Current State: 82:[76, 5], Operations: ['23+53=76', '8-3=5']
Exploring Operation: 76*5=380, Resulting Numbers: [380]
380,82 unequal: No Solution
Exploring Operation: 76+5=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,82 unequal: No Solution
Moving to Node #0,3,3
Current State: 82:[8, 79], Operations: ['23+53=76', '3+76=79']
Exploring Operation: 79-8=71, Resulting Numbers: [71]
71,82 unequal: No Solution
Exploring Operation: 8+79=87, Resulting Numbers: [87]
87,82 unequal: No Solution
Exploring Operation: 8*79=632, Resulting Numbers: [632]
632,82 unequal: No Solution
Moving to Node #0,3,0
Current State: 82:[8, 73], Operations: ['23+53=76', '76-3=73']
Exploring Operation: 8*73=584, Resulting Numbers: [584]
584,82 unequal: No Solution
Exploring Operation: 8+73=81, Resulting Numbers: [81]
81,82 unequal: No Solution
Exploring Operation: 73-8=65, Resulting Numbers: [65]
65,82 unequal: No Solution
Moving to Node #0,3,2
Current State: 82:[76, 11], Operations: ['23+53=76', '3+8=11']
Exploring Operation: 76+11=87, Resulting Numbers: [87]
87,82 unequal: No Solution
Exploring Operation: 76*11=836, Resulting Numbers: [836]
836,82 unequal: No Solution
Exploring Operation: 76-11=65, Resulting Numbers: [65]
65,82 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:[3, 8, 30], Operations: ['53-23=30']
Exploring Operation: 8+30=38, Resulting Numbers: [3, 38]
Generated Node #0,2,0: 82:[3, 38] Operation: 8+30=38
Exploring Operation: 3+30=33, Resulting Numbers: [8, 33]
Generated Node #0,2,1: 82:[8, 33] Operation: 3+30=33
Exploring Operation: 8-3=5, Resulting Numbers: [30, 5]
Generated Node #0,2,2: 82:[30, 5] Operation: 8-3=5
Exploring Operation: 3*30=90, Resulting Numbers: [8, 90]
Generated Node #0,2,3: 82:[8, 90] Operation: 3*30=90
Exploring Operation: 30/3=10, Resulting Numbers: [8, 10]
Generated Node #0,2,4: 82:[8, 10] Operation: 30/3=10
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 82:[3, 38], Operations: ['53-23=30', '8+30=38']
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,82 unequal: No Solution
Exploring Operation: 3*38=114, Resulting Numbers: [114]
114,82 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,82 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:[8, 33], Operations: ['53-23=30', '3+30=33']
Exploring Operation: 8*33=264, Resulting Numbers: [264]
264,82 unequal: No Solution
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,82 unequal: No Solution
Exploring Operation: 8+33=41, Resulting Numbers: [41]
41,82 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:[30, 5], Operations: ['53-23=30', '8-3=5']
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,82 unequal: No Solution
Exploring Operation: 30*5=150, Resulting Numbers: [150]
150,82 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,82 unequal: No Solution
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,82 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:[8, 90], Operations: ['53-23=30', '3*30=90']
Exploring Operation: 8*90=720, Resulting Numbers: [720]
720,82 unequal: No Solution
Exploring Operation: 90-8=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[23, 3, 8, 53], Operations: []
Exploring Operation: 53-23=30, Resulting Numbers: [3, 8, 30]
Generated Node #0,2: 82:[3, 8, 30] Operation: 53-23=30
Moving to Node #0,2
Current State: 82:[3, 8, 30], Operations: ['53-23=30']
Exploring Operation: 3*30=90, Resulting Numbers: [8, 90]
Generated Node #0,2,3: 82:[8, 90] Operation: 3*30=90
Moving to Node #0,2,3
Current State: 82:[8, 90], Operations: ['53-23=30', '3*30=90']
Exploring Operation: 90-8=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.959201 | hs_5 | sum_heuristic |
[
96,
54,
77,
48
] | 50 | [
"96/48=2",
"54/2=27",
"77-27=50"
] | Current State: 50:[96, 54, 77, 48], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [54, 77, 2]
Generated Node #2: [54, 77, 2] from Operation: 96/48=2
Current State: 50:[54, 77, 2], Operations: ['96/48=2']
Exploring Operation: 54/2=27, Resulting Numbers: [77, 27]
Generated Node #3: [77, 27] from Operation: 54/2=27
Current State: 50:[77, 27], Operations: ['96/48=2', '54/2=27']
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[96, 54, 77, 48], Operations: []
Exploring Operation: 96-77=19, Resulting Numbers: [54, 48, 19]
Generated Node #0,0: 50:[54, 48, 19] Operation: 96-77=19
Moving to Node #0,0
Current State: 50:[54, 48, 19], Operations: ['96-77=19']
Exploring Operation: 54-48=6, Resulting Numbers: [19, 6]
Generated Node #0,0,0: 50:[19, 6] Operation: 54-48=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[19, 6], Operations: ['96-77=19', '54-48=6']
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,50 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 |
[
77,
18,
11,
42
] | 44 | [
"77*18=1386",
"1386/42=33",
"11+33=44"
] | Current State: 44:[77, 18, 11, 42], Operations: []
Exploring Operation: 77*18=1386, Resulting Numbers: [11, 42, 1386]
Generated Node #2: [11, 42, 1386] from Operation: 77*18=1386
Current State: 44:[11, 42, 1386], Operations: ['77*18=1386']
Exploring Operation: 1386/42=33, Resulting Numbers: [11, 33]
Generated Node #3: [11, 33] from Operation: 1386/42=33
Current State: 44:[11, 33], Operations: ['77*18=1386', '1386/42=33']
Exploring Operation: 11+33=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[77, 18, 11, 42], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [18, 42, 7]
Generated Node #0,0: 44:[18, 42, 7] Operation: 77/11=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[18, 42, 7], Operations: ['77/11=7']
Exploring Operation: 18-7=11, Resulting Numbers: [42, 11]
Generated Node #0,0,0: 44:[42, 11] Operation: 18-7=11
Moving to Node #0,0,0
Current State: 44:[42, 11], Operations: ['77/11=7', '18-7=11']
Exploring Operation: 42+11=53, Resulting Numbers: [53]
53,44 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 |
[
1,
35,
19,
45
] | 100 | [
"1+35=36",
"19+45=64",
"36+64=100"
] | Current State: 100:[1, 35, 19, 45], Operations: []
Exploring Operation: 1+35=36, Resulting Numbers: [19, 45, 36]
Generated Node #2: [19, 45, 36] from Operation: 1+35=36
Current State: 100:[19, 45, 36], Operations: ['1+35=36']
Exploring Operation: 19+45=64, Resulting Numbers: [36, 64]
Generated Node #3: [36, 64] from Operation: 19+45=64
Current State: 100:[36, 64], Operations: ['1+35=36', '19+45=64']
Exploring Operation: 36+64=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[1, 35, 19, 45], Operations: []
Exploring Operation: 45-35=10, Resulting Numbers: [1, 19, 10]
Generated Node #0,0: 100:[1, 19, 10] Operation: 45-35=10
Moving to Node #0,0
Current State: 100:[1, 19, 10], Operations: ['45-35=10']
Exploring Operation: 1+19=20, Resulting Numbers: [10, 20]
Generated Node #0,0,0: 100:[10, 20] Operation: 1+19=20
Moving to Node #0,0,0
Current State: 100:[10, 20], Operations: ['45-35=10', '1+19=20']
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,100 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
61,
79,
20,
72
] | 24 | [
"79-61=18",
"72/18=4",
"20+4=24"
] | Current State: 24:[61, 79, 20, 72], Operations: []
Exploring Operation: 79-61=18, Resulting Numbers: [20, 72, 18]
Generated Node #2: [20, 72, 18] from Operation: 79-61=18
Current State: 24:[20, 72, 18], Operations: ['79-61=18']
Exploring Operation: 72/18=4, Resulting Numbers: [20, 4]
Generated Node #3: [20, 4] from Operation: 72/18=4
Current State: 24:[20, 4], Operations: ['79-61=18', '72/18=4']
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[61, 79, 20, 72], Operations: []
Exploring Operation: 61-20=41, Resulting Numbers: [79, 72, 41]
Generated Node #0,0: 24:[79, 72, 41] Operation: 61-20=41
Exploring Operation: 72-61=11, Resulting Numbers: [79, 20, 11]
Generated Node #0,1: 24:[79, 20, 11] Operation: 72-61=11
Exploring Operation: 79-61=18, Resulting Numbers: [20, 72, 18]
Generated Node #0,2: 24:[20, 72, 18] Operation: 79-61=18
Exploring Operation: 79-20=59, Resulting Numbers: [61, 72, 59]
Generated Node #0,3: 24:[61, 72, 59] Operation: 79-20=59
Exploring Operation: 79-72=7, Resulting Numbers: [61, 20, 7]
Generated Node #0,4: 24:[61, 20, 7] Operation: 79-72=7
Moving to Node #0,4
Current State: 24:[61, 20, 7], Operations: ['79-72=7']
Exploring Operation: 61-7=54, Resulting Numbers: [20, 54]
Generated Node #0,4,0: 24:[20, 54] Operation: 61-7=54
Exploring Operation: 20+7=27, Resulting Numbers: [61, 27]
Generated Node #0,4,1: 24:[61, 27] Operation: 20+7=27
Exploring Operation: 20-7=13, Resulting Numbers: [61, 13]
Generated Node #0,4,2: 24:[61, 13] Operation: 20-7=13
Exploring Operation: 61+7=68, Resulting Numbers: [20, 68]
Generated Node #0,4,3: 24:[20, 68] Operation: 61+7=68
Exploring Operation: 61-20=41, Resulting Numbers: [7, 41]
Generated Node #0,4,4: 24:[7, 41] Operation: 61-20=41
Moving to Node #0,2
Current State: 24:[20, 72, 18], Operations: ['79-61=18']
Exploring Operation: 20+18=38, Resulting Numbers: [72, 38]
Generated Node #0,2,0: 24:[72, 38] Operation: 20+18=38
Exploring Operation: 72-20=52, Resulting Numbers: [18, 52]
Generated Node #0,2,1: 24:[18, 52] Operation: 72-20=52
Exploring Operation: 72-18=54, Resulting Numbers: [20, 54]
Generated Node #0,2,2: 24:[20, 54] Operation: 72-18=54
Exploring Operation: 20-18=2, Resulting Numbers: [72, 2]
Generated Node #0,2,3: 24:[72, 2] Operation: 20-18=2
Exploring Operation: 72/18=4, Resulting Numbers: [20, 4]
Generated Node #0,2,4: 24:[20, 4] Operation: 72/18=4
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 24:[20, 4], Operations: ['79-61=18', '72/18=4']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,24 unequal: No Solution
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,24 unequal: No Solution
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[61, 79, 20, 72], Operations: []
Exploring Operation: 79-61=18, Resulting Numbers: [20, 72, 18]
Generated Node #0,2: 24:[20, 72, 18] Operation: 79-61=18
Moving to Node #0,2
Current State: 24:[20, 72, 18], Operations: ['79-61=18']
Exploring Operation: 72/18=4, Resulting Numbers: [20, 4]
Generated Node #0,2,4: 24:[20, 4] Operation: 72/18=4
Moving to Node #0,2,4
Current State: 24:[20, 4], Operations: ['79-61=18', '72/18=4']
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
20,
58,
32,
62
] | 48 | [
"20+58=78",
"62-32=30",
"78-30=48"
] | Current State: 48:[20, 58, 32, 62], Operations: []
Exploring Operation: 20+58=78, Resulting Numbers: [32, 62, 78]
Generated Node #2: [32, 62, 78] from Operation: 20+58=78
Current State: 48:[32, 62, 78], Operations: ['20+58=78']
Exploring Operation: 62-32=30, Resulting Numbers: [78, 30]
Generated Node #3: [78, 30] from Operation: 62-32=30
Current State: 48:[78, 30], Operations: ['20+58=78', '62-32=30']
Exploring Operation: 78-30=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[20, 58, 32, 62], Operations: []
Exploring Operation: 58-32=26, Resulting Numbers: [20, 62, 26]
Generated Node #0,0: 48:[20, 62, 26] Operation: 58-32=26
Exploring Operation: 62-58=4, Resulting Numbers: [20, 32, 4]
Generated Node #0,1: 48:[20, 32, 4] Operation: 62-58=4
Moving to Node #0,1
Current State: 48:[20, 32, 4], Operations: ['62-58=4']
Exploring Operation: 20+32=52, Resulting Numbers: [4, 52]
Generated Node #0,1,0: 48:[4, 52] Operation: 20+32=52
Exploring Operation: 32-20=12, Resulting Numbers: [4, 12]
Generated Node #0,1,1: 48:[4, 12] Operation: 32-20=12
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 48:[4, 12], Operations: ['62-58=4', '32-20=12']
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[20, 58, 32, 62], Operations: []
Exploring Operation: 62-58=4, Resulting Numbers: [20, 32, 4]
Generated Node #0,1: 48:[20, 32, 4] Operation: 62-58=4
Moving to Node #0,1
Current State: 48:[20, 32, 4], Operations: ['62-58=4']
Exploring Operation: 32-20=12, Resulting Numbers: [4, 12]
Generated Node #0,1,1: 48:[4, 12] Operation: 32-20=12
Moving to Node #0,1,1
Current State: 48:[4, 12], Operations: ['62-58=4', '32-20=12']
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
35,
25,
96,
76
] | 10 | [
"35-25=10",
"96-76=20",
"20-10=10"
] | Current State: 10:[35, 25, 96, 76], Operations: []
Exploring Operation: 35-25=10, Resulting Numbers: [96, 76, 10]
Generated Node #2: [96, 76, 10] from Operation: 35-25=10
Current State: 10:[96, 76, 10], Operations: ['35-25=10']
Exploring Operation: 96-76=20, Resulting Numbers: [10, 20]
Generated Node #3: [10, 20] from Operation: 96-76=20
Current State: 10:[10, 20], Operations: ['35-25=10', '96-76=20']
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[35, 25, 96, 76], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [35, 25, 20]
Generated Node #0,0: 10:[35, 25, 20] Operation: 96-76=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[35, 25, 20], Operations: ['96-76=20']
Exploring Operation: 35-25=10, Resulting Numbers: [20, 10]
Generated Node #0,0,0: 10:[20, 10] Operation: 35-25=10
Moving to Node #0,0,0
Current State: 10:[20, 10], Operations: ['96-76=20', '35-25=10']
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[35, 25, 96, 76], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [35, 25, 20]
Generated Node #0,0: 10:[35, 25, 20] Operation: 96-76=20
Moving to Node #0,0
Current State: 10:[35, 25, 20], Operations: ['96-76=20']
Exploring Operation: 35-25=10, Resulting Numbers: [20, 10]
Generated Node #0,0,0: 10:[20, 10] Operation: 35-25=10
Moving to Node #0,0,0
Current State: 10:[20, 10], Operations: ['96-76=20', '35-25=10']
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
13,
25,
24,
17
] | 66 | [
"24-17=7",
"13*7=91",
"91-25=66"
] | Current State: 66:[13, 25, 24, 17], Operations: []
Exploring Operation: 24-17=7, Resulting Numbers: [13, 25, 7]
Generated Node #2: [13, 25, 7] from Operation: 24-17=7
Current State: 66:[13, 25, 7], Operations: ['24-17=7']
Exploring Operation: 13*7=91, Resulting Numbers: [25, 91]
Generated Node #3: [25, 91] from Operation: 13*7=91
Current State: 66:[25, 91], Operations: ['24-17=7', '13*7=91']
Exploring Operation: 91-25=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[13, 25, 24, 17], Operations: []
Exploring Operation: 25-17=8, Resulting Numbers: [13, 24, 8]
Generated Node #0,0: 66:[13, 24, 8] Operation: 25-17=8
Exploring Operation: 24-17=7, Resulting Numbers: [13, 25, 7]
Generated Node #0,1: 66:[13, 25, 7] Operation: 24-17=7
Exploring Operation: 25-13=12, Resulting Numbers: [24, 17, 12]
Generated Node #0,2: 66:[24, 17, 12] Operation: 25-13=12
Exploring Operation: 17-13=4, Resulting Numbers: [25, 24, 4]
Generated Node #0,3: 66:[25, 24, 4] Operation: 17-13=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[13, 24, 8], Operations: ['25-17=8']
Exploring Operation: 13-8=5, Resulting Numbers: [24, 5]
Generated Node #0,0,0: 66:[24, 5] Operation: 13-8=5
Exploring Operation: 24/8=3, Resulting Numbers: [13, 3]
Generated Node #0,0,1: 66:[13, 3] Operation: 24/8=3
Exploring Operation: 24-13=11, Resulting Numbers: [8, 11]
Generated Node #0,0,2: 66:[8, 11] Operation: 24-13=11
Exploring Operation: 13+8=21, Resulting Numbers: [24, 21]
Generated Node #0,0,3: 66:[24, 21] Operation: 13+8=21
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 66:[13, 3], Operations: ['25-17=8', '24/8=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,66 unequal: No Solution
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,66 unequal: No Solution
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 66:[8, 11], Operations: ['25-17=8', '24-13=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,66 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[24, 5], Operations: ['25-17=8', '13-8=5']
Exploring Operation: 24*5=120, Resulting Numbers: [120]
120,66 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Exploring Operation: 24+5=29, Resulting Numbers: [29]
29,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 66:[24, 21], Operations: ['25-17=8', '13+8=21']
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,66 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[13, 25, 7], Operations: ['24-17=7']
Exploring Operation: 25-13=12, Resulting Numbers: [7, 12]
Generated Node #0,1,0: 66:[7, 12] Operation: 25-13=12
Exploring Operation: 13+7=20, Resulting Numbers: [25, 20]
Generated Node #0,1,1: 66:[25, 20] Operation: 13+7=20
Exploring Operation: 13-7=6, Resulting Numbers: [25, 6]
Generated Node #0,1,2: 66:[25, 6] Operation: 13-7=6
Exploring Operation: 25+7=32, Resulting Numbers: [13, 32]
Generated Node #0,1,3: 66:[13, 32] Operation: 25+7=32
Moving to Node #0,1,0
Current State: 66:[7, 12], Operations: ['24-17=7', '25-13=12']
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,66 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Moving to Node #0,1,3
Current State: 66:[13, 32], Operations: ['24-17=7', '25+7=32']
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,66 unequal: No Solution
Exploring Operation: 13*32=416, Resulting Numbers: [416]
416,66 unequal: No Solution
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Moving to Node #0,1,2
Current State: 66:[25, 6], Operations: ['24-17=7', '13-7=6']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,66 unequal: No Solution
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,66 unequal: No Solution
Moving to Node #0,1,1
Current State: 66:[25, 20], Operations: ['24-17=7', '13+7=20']
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 25+20=45, Resulting Numbers: [45]
45,66 unequal: No Solution
Exploring Operation: 25*20=500, Resulting Numbers: [500]
500,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 66:[25, 24, 4], Operations: ['17-13=4']
Exploring Operation: 24/4=6, Resulting Numbers: [25, 6]
Generated Node #0,3,0: 66:[25, 6] Operation: 24/4=6
Exploring Operation: 25-4=21, Resulting Numbers: [24, 21]
Generated Node #0,3,1: 66:[24, 21] Operation: 25-4=21
Exploring Operation: 25-24=1, Resulting Numbers: [4, 1]
Generated Node #0,3,2: 66:[4, 1] Operation: 25-24=1
Exploring Operation: 24-4=20, Resulting Numbers: [25, 20]
Generated Node #0,3,3: 66:[25, 20] Operation: 24-4=20
Moving to Node #0,3,2
Current State: 66:[4, 1], Operations: ['17-13=4', '25-24=1']
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,66 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,66 unequal: No Solution
Moving to Node #0,3,1
Current State: 66:[24, 21], Operations: ['17-13=4', '25-4=21']
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,66 unequal: No Solution
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,66 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Moving to Node #0,3,0
Current State: 66:[25, 6], Operations: ['17-13=4', '24/4=6']
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,66 unequal: No Solution
Exploring Operation: 25*6=150, Resulting Numbers: [150]
150,66 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Moving to Node #0,3,3
Current State: 66:[25, 20], Operations: ['17-13=4', '24-4=20']
Exploring Operation: 25*20=500, Resulting Numbers: [500]
500,66 unequal: No Solution
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 25+20=45, Resulting Numbers: [45]
45,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 66:[24, 17, 12], Operations: ['25-13=12']
Exploring Operation: 17-12=5, Resulting Numbers: [24, 5]
Generated Node #0,2,0: 66:[24, 5] Operation: 17-12=5
Exploring Operation: 24/12=2, Resulting Numbers: [17, 2]
Generated Node #0,2,1: 66:[17, 2] Operation: 24/12=2
Exploring Operation: 24-17=7, Resulting Numbers: [12, 7]
Generated Node #0,2,2: 66:[12, 7] Operation: 24-17=7
Exploring Operation: 24-12=12, Resulting Numbers: [17, 12]
Generated Node #0,2,3: 66:[17, 12] Operation: 24-12=12
Moving to Node #0,2,2
Current State: 66:[12, 7], Operations: ['25-13=12', '24-17=7']
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,66 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Moving to Node #0,2,0
Current State: 66:[24, 5], Operations: ['25-13=12', '17-12=5']
Exploring Operation: 24*5=120, Resulting Numbers: [120]
120,66 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Exploring Operation: 24+5=29, Resulting Numbers: [29]
29,66 unequal: No Solution
Moving to Node #0,2,1
Current State: 66:[17, 2], Operations: ['25-13=12', '24/12=2']
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,66 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,66 unequal: No Solution
Moving to Node #0,2,3
Current State: 66:[17, 12], Operations: ['25-13=12', '24-12=12']
Exploring Operation: 17*12=204, Resulting Numbers: [204]
204,66 unequal: No Solution
Exploring Operation: 17+12=29, Resulting Numbers: [29]
29,66 unequal: No Solution
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,66 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 |
[
62,
2,
19,
99
] | 98 | [
"99-19=80",
"2*80=160",
"160-62=98"
] | Current State: 98:[62, 2, 19, 99], Operations: []
Exploring Operation: 99-19=80, Resulting Numbers: [62, 2, 80]
Generated Node #2: [62, 2, 80] from Operation: 99-19=80
Current State: 98:[62, 2, 80], Operations: ['99-19=80']
Exploring Operation: 2*80=160, Resulting Numbers: [62, 160]
Generated Node #3: [62, 160] from Operation: 2*80=160
Current State: 98:[62, 160], Operations: ['99-19=80', '2*80=160']
Exploring Operation: 160-62=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[62, 2, 19, 99], Operations: []
Exploring Operation: 62-2=60, Resulting Numbers: [19, 99, 60]
Generated Node #0,0: 98:[19, 99, 60] Operation: 62-2=60
Exploring Operation: 62-19=43, Resulting Numbers: [2, 99, 43]
Generated Node #0,1: 98:[2, 99, 43] Operation: 62-19=43
Exploring Operation: 99-62=37, Resulting Numbers: [2, 19, 37]
Generated Node #0,2: 98:[2, 19, 37] Operation: 99-62=37
Exploring Operation: 19-2=17, Resulting Numbers: [62, 99, 17]
Generated Node #0,3: 98:[62, 99, 17] Operation: 19-2=17
Exploring Operation: 62+19=81, Resulting Numbers: [2, 99, 81]
Generated Node #0,4: 98:[2, 99, 81] Operation: 62+19=81
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[2, 99, 43], Operations: ['62-19=43']
Exploring Operation: 99-2=97, Resulting Numbers: [43, 97]
Generated Node #0,1,0: 98:[43, 97] Operation: 99-2=97
Exploring Operation: 43-2=41, Resulting Numbers: [99, 41]
Generated Node #0,1,1: 98:[99, 41] Operation: 43-2=41
Exploring Operation: 99-43=56, Resulting Numbers: [2, 56]
Generated Node #0,1,2: 98:[2, 56] Operation: 99-43=56
Exploring Operation: 2+43=45, Resulting Numbers: [99, 45]
Generated Node #0,1,3: 98:[99, 45] Operation: 2+43=45
Exploring Operation: 2+99=101, Resulting Numbers: [43, 101]
Generated Node #0,1,4: 98:[43, 101] Operation: 2+99=101
Moving to Node #0,1,3
Current State: 98:[99, 45], Operations: ['62-19=43', '2+43=45']
Exploring Operation: 99+45=144, Resulting Numbers: [144]
144,98 unequal: No Solution
Exploring Operation: 99*45=4455, Resulting Numbers: [4455]
4455,98 unequal: No Solution
Exploring Operation: 99-45=54, Resulting Numbers: [54]
54,98 unequal: No Solution
Moving to Node #0,1,2
Current State: 98:[2, 56], Operations: ['62-19=43', '99-43=56']
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 2*56=112, Resulting Numbers: [112]
112,98 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,98 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[43, 97], Operations: ['62-19=43', '99-2=97']
Exploring Operation: 43+97=140, Resulting Numbers: [140]
140,98 unequal: No Solution
Exploring Operation: 43*97=4171, Resulting Numbers: [4171]
4171,98 unequal: No Solution
Exploring Operation: 97-43=54, Resulting Numbers: [54]
54,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[99, 41], Operations: ['62-19=43', '43-2=41']
Exploring Operation: 99+41=140, Resulting Numbers: [140]
140,98 unequal: No Solution
Exploring Operation: 99-41=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 99*41=4059, Resulting Numbers: [4059]
4059,98 unequal: No Solution
Moving to Node #0,1,4
Current State: 98:[43, 101], Operations: ['62-19=43', '2+99=101']
Exploring Operation: 43+101=144, Resulting Numbers: [144]
144,98 unequal: No Solution
Exploring Operation: 101-43=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 43*101=4343, Resulting Numbers: [4343]
4343,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[19, 99, 60], Operations: ['62-2=60']
Exploring Operation: 99-19=80, Resulting Numbers: [60, 80]
Generated Node #0,0,0: 98:[60, 80] Operation: 99-19=80
Exploring Operation: 19+60=79, Resulting Numbers: [99, 79]
Generated Node #0,0,1: 98:[99, 79] Operation: 19+60=79
Exploring Operation: 99-60=39, Resulting Numbers: [19, 39]
Generated Node #0,0,2: 98:[19, 39] Operation: 99-60=39
Exploring Operation: 60-19=41, Resulting Numbers: [99, 41]
Generated Node #0,0,3: 98:[99, 41] Operation: 60-19=41
Exploring Operation: 19+99=118, Resulting Numbers: [60, 118]
Generated Node #0,0,4: 98:[60, 118] Operation: 19+99=118
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 98:[99, 41], Operations: ['62-2=60', '60-19=41']
Exploring Operation: 99-41=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 99+41=140, Resulting Numbers: [140]
140,98 unequal: No Solution
Exploring Operation: 99*41=4059, Resulting Numbers: [4059]
4059,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 98:[19, 39], Operations: ['62-2=60', '99-60=39']
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 19*39=741, Resulting Numbers: [741]
741,98 unequal: No Solution
Exploring Operation: 19+39=58, Resulting Numbers: [58]
58,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 98:[99, 79], Operations: ['62-2=60', '19+60=79']
Exploring Operation: 99+79=178, Resulting Numbers: [178]
178,98 unequal: No Solution
Exploring Operation: 99-79=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 99*79=7821, Resulting Numbers: [7821]
7821,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[60, 80], Operations: ['62-2=60', '99-19=80']
Exploring Operation: 80-60=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 60+80=140, Resulting Numbers: [140]
140,98 unequal: No Solution
Exploring Operation: 60*80=4800, Resulting Numbers: [4800]
4800,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 98:[60, 118], Operations: ['62-2=60', '19+99=118']
Exploring Operation: 60*118=7080, Resulting Numbers: [7080]
7080,98 unequal: No Solution
Exploring Operation: 118-60=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 60+118=178, Resulting Numbers: [178]
178,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 98:[2, 19, 37], Operations: ['99-62=37']
Exploring Operation: 2+37=39, Resulting Numbers: [19, 39]
Generated Node #0,2,0: 98:[19, 39] Operation: 2+37=39
Exploring Operation: 37-19=18, Resulting Numbers: [2, 18]
Generated Node #0,2,1: 98:[2, 18] Operation: 37-19=18
Exploring Operation: 2+19=21, Resulting Numbers: [37, 21]
Generated Node #0,2,2: 98:[37, 21] Operation: 2+19=21
Exploring Operation: 19+37=56, Resulting Numbers: [2, 56]
Generated Node #0,2,3: 98:[2, 56] Operation: 19+37=56
Exploring Operation: 19-2=17, Resulting Numbers: [37, 17]
Generated Node #0,2,4: 98:[37, 17] Operation: 19-2=17
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 98:[2, 18], Operations: ['99-62=37', '37-19=18']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,98 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,98 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 98:[2, 56], Operations: ['99-62=37', '19+37=56']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,98 unequal: No Solution
Exploring Operation: 2*56=112, Resulting Numbers: [112]
112,98 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,98 unequal: No Solution
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 98:[19, 39], Operations: ['99-62=37', '2+37=39']
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 19+39=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 19*39=741, Resulting Numbers: [741]
741,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 98:[37, 17], Operations: ['99-62=37', '19-2=17']
Exploring Operation: 37+17=54, Resulting Numbers: [54]
54,98 unequal: No Solution
Exploring Operation: 37*17=629, Resulting Numbers: [629]
629,98 unequal: No Solution
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 98:[37, 21], Operations: ['99-62=37', '2+19=21']
Exploring Operation: 37+21=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 37*21=777, Resulting Numbers: [777]
777,98 unequal: No Solution
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 98:[62, 99, 17], Operations: ['19-2=17']
Exploring Operation: 62+17=79, Resulting Numbers: [99, 79]
Generated Node #0,3,0: 98:[99, 79] Operation: 62+17=79
Exploring Operation: 99-62=37, Resulting Numbers: [17, 37]
Generated Node #0,3,1: 98:[17, 37] Operation: 99-62=37
Exploring Operation: 99+17=116, Resulting Numbers: [62, 116]
Generated Node #0,3,2: 98:[62, 116] Operation: 99+17=116
Exploring Operation: 62-17=45, Resulting Numbers: [99, 45]
Generated Node #0,3,3: 98:[99, 45] Operation: 62-17=45
Exploring Operation: 99-17=82, Resulting Numbers: [62, 82]
Generated Node #0,3,4: 98:[62, 82] Operation: 99-17=82
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 98:[99, 45], Operations: ['19-2=17', '62-17=45']
Exploring Operation: 99+45=144, Resulting Numbers: [144]
144,98 unequal: No Solution
Exploring Operation: 99-45=54, Resulting Numbers: [54]
54,98 unequal: No Solution
Exploring Operation: 99*45=4455, Resulting Numbers: [4455]
4455,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 98:[17, 37], Operations: ['19-2=17', '99-62=37']
Exploring Operation: 17*37=629, Resulting Numbers: [629]
629,98 unequal: No Solution
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 17+37=54, Resulting Numbers: [54]
54,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 98:[99, 79], Operations: ['19-2=17', '62+17=79']
Exploring Operation: 99-79=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 99+79=178, Resulting Numbers: [178]
178,98 unequal: No Solution
Exploring Operation: 99*79=7821, Resulting Numbers: [7821]
7821,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 98:[62, 82], Operations: ['19-2=17', '99-17=82']
Exploring Operation: 62+82=144, Resulting Numbers: [144]
144,98 unequal: No Solution
Exploring Operation: 82-62=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 62*82=5084, Resulting Numbers: [5084]
5084,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 98:[62, 116], Operations: ['19-2=17', '99+17=116']
Exploring Operation: 62+116=178, Resulting Numbers: [178]
178,98 unequal: No Solution
Exploring Operation: 116-62=54, Resulting Numbers: [54]
54,98 unequal: No Solution
Exploring Operation: 62*116=7192, Resulting Numbers: [7192]
7192,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 98:[2, 99, 81], Operations: ['62+19=81']
Exploring Operation: 99-81=18, Resulting Numbers: [2, 18]
Generated Node #0,4,0: 98:[2, 18] Operation: 99-81=18
Exploring Operation: 2+99=101, Resulting Numbers: [81, 101]
Generated Node #0,4,1: 98:[81, 101] Operation: 2+99=101
Exploring Operation: 2+81=83, Resulting Numbers: [99, 83]
Generated Node #0,4,2: 98:[99, 83] Operation: 2+81=83
Exploring Operation: 81-2=79, Resulting Numbers: [99, 79]
Generated Node #0,4,3: 98:[99, 79] Operation: 81-2=79
Exploring Operation: 99-2=97, Resulting Numbers: [81, 97]
Generated Node #0,4,4: 98:[81, 97] Operation: 99-2=97
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 98:[2, 18], Operations: ['62+19=81', '99-81=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,98 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,98 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 98:[99, 83], Operations: ['62+19=81', '2+81=83']
Exploring Operation: 99+83=182, Resulting Numbers: [182]
182,98 unequal: No Solution
Exploring Operation: 99*83=8217, Resulting Numbers: [8217]
8217,98 unequal: No Solution
Exploring Operation: 99-83=16, Resulting Numbers: [16]
16,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 98:[81, 97], Operations: ['62+19=81', '99-2=97']
Exploring Operation: 81*97=7857, Resulting Numbers: [7857]
7857,98 unequal: No Solution
Exploring Operation: 81+97=178, Resulting Numbers: [178]
178,98 unequal: No Solution
Exploring Operation: 97-81=16, Resulting Numbers: [16]
16,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 98:[81, 101], Operations: ['62+19=81', '2+99=101']
Exploring Operation: 81*101=8181, Resulting Numbers: [8181]
8181,98 unequal: No Solution
Exploring Operation: 81+101=182, Resulting Numbers: [182]
182,98 unequal: No Solution
Exploring Operation: 101-81=20, Resulting Numbers: [20]
20,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 98:[99, 79], Operations: ['62+19=81', '81-2=79']
Exploring Operation: 99-79=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Exploring Operation: 99*79=7821, Resulting Numbers: [7821]
7821,98 unequal: No Solution
Exploring Operation: 99+79=178, Resulting Numbers: [178]
178,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
29,
72,
1,
10
] | 34 | [
"72-29=43",
"10-1=9",
"43-9=34"
] | Current State: 34:[29, 72, 1, 10], Operations: []
Exploring Operation: 72-29=43, Resulting Numbers: [1, 10, 43]
Generated Node #2: [1, 10, 43] from Operation: 72-29=43
Current State: 34:[1, 10, 43], Operations: ['72-29=43']
Exploring Operation: 10-1=9, Resulting Numbers: [43, 9]
Generated Node #3: [43, 9] from Operation: 10-1=9
Current State: 34:[43, 9], Operations: ['72-29=43', '10-1=9']
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[29, 72, 1, 10], Operations: []
Exploring Operation: 72-10=62, Resulting Numbers: [29, 1, 62]
Generated Node #0,0: 34:[29, 1, 62] Operation: 72-10=62
Exploring Operation: 29+10=39, Resulting Numbers: [72, 1, 39]
Generated Node #0,1: 34:[72, 1, 39] Operation: 29+10=39
Exploring Operation: 72-29=43, Resulting Numbers: [1, 10, 43]
Generated Node #0,2: 34:[1, 10, 43] Operation: 72-29=43
Exploring Operation: 29-10=19, Resulting Numbers: [72, 1, 19]
Generated Node #0,3: 34:[72, 1, 19] Operation: 29-10=19
Moving to Node #0,2
Current State: 34:[1, 10, 43], Operations: ['72-29=43']
Exploring Operation: 43-10=33, Resulting Numbers: [1, 33]
Generated Node #0,2,0: 34:[1, 33] Operation: 43-10=33
Exploring Operation: 1+10=11, Resulting Numbers: [43, 11]
Generated Node #0,2,1: 34:[43, 11] Operation: 1+10=11
Exploring Operation: 43-1=42, Resulting Numbers: [10, 42]
Generated Node #0,2,2: 34:[10, 42] Operation: 43-1=42
Exploring Operation: 1*10=10, Resulting Numbers: [43, 10]
Generated Node #0,2,3: 34:[43, 10] Operation: 1*10=10
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 34:[1, 33], Operations: ['72-29=43', '43-10=33']
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,34 unequal: No Solution
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[29, 72, 1, 10], Operations: []
Exploring Operation: 72-29=43, Resulting Numbers: [1, 10, 43]
Generated Node #0,2: 34:[1, 10, 43] Operation: 72-29=43
Moving to Node #0,2
Current State: 34:[1, 10, 43], Operations: ['72-29=43']
Exploring Operation: 43-10=33, Resulting Numbers: [1, 33]
Generated Node #0,2,0: 34:[1, 33] Operation: 43-10=33
Moving to Node #0,2,0
Current State: 34:[1, 33], Operations: ['72-29=43', '43-10=33']
Exploring Operation: 1+33=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
43,
23,
22,
94
] | 51 | [
"94-43=51",
"23-22=1",
"51*1=51"
] | Current State: 51:[43, 23, 22, 94], Operations: []
Exploring Operation: 94-43=51, Resulting Numbers: [23, 22, 51]
Generated Node #2: [23, 22, 51] from Operation: 94-43=51
Current State: 51:[23, 22, 51], Operations: ['94-43=51']
Exploring Operation: 23-22=1, Resulting Numbers: [51, 1]
Generated Node #3: [51, 1] from Operation: 23-22=1
Current State: 51:[51, 1], Operations: ['94-43=51', '23-22=1']
Exploring Operation: 51*1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[43, 23, 22, 94], Operations: []
Exploring Operation: 94-22=72, Resulting Numbers: [43, 23, 72]
Generated Node #0,0: 51:[43, 23, 72] Operation: 94-22=72
Exploring Operation: 94-43=51, Resulting Numbers: [23, 22, 51]
Generated Node #0,1: 51:[23, 22, 51] Operation: 94-43=51
Exploring Operation: 94-23=71, Resulting Numbers: [43, 22, 71]
Generated Node #0,2: 51:[43, 22, 71] Operation: 94-23=71
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[23, 22, 51], Operations: ['94-43=51']
Exploring Operation: 51-23=28, Resulting Numbers: [22, 28]
Generated Node #0,1,0: 51:[22, 28] Operation: 51-23=28
Exploring Operation: 23-22=1, Resulting Numbers: [51, 1]
Generated Node #0,1,1: 51:[51, 1] Operation: 23-22=1
Exploring Operation: 23+22=45, Resulting Numbers: [51, 45]
Generated Node #0,1,2: 51:[51, 45] Operation: 23+22=45
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 51:[51, 1], Operations: ['94-43=51', '23-22=1']
Exploring Operation: 51*1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[43, 23, 22, 94], Operations: []
Exploring Operation: 94-43=51, Resulting Numbers: [23, 22, 51]
Generated Node #0,1: 51:[23, 22, 51] Operation: 94-43=51
Moving to Node #0,1
Current State: 51:[23, 22, 51], Operations: ['94-43=51']
Exploring Operation: 23-22=1, Resulting Numbers: [51, 1]
Generated Node #0,1,1: 51:[51, 1] Operation: 23-22=1
Moving to Node #0,1,1
Current State: 51:[51, 1], Operations: ['94-43=51', '23-22=1']
Exploring Operation: 51*1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
70,
88,
62,
62
] | 34 | [
"70+88=158",
"62+62=124",
"158-124=34"
] | Current State: 34:[70, 88, 62, 62], Operations: []
Exploring Operation: 70+88=158, Resulting Numbers: [62, 62, 158]
Generated Node #2: [62, 62, 158] from Operation: 70+88=158
Current State: 34:[62, 62, 158], Operations: ['70+88=158']
Exploring Operation: 62+62=124, Resulting Numbers: [158, 124]
Generated Node #3: [158, 124] from Operation: 62+62=124
Current State: 34:[158, 124], Operations: ['70+88=158', '62+62=124']
Exploring Operation: 158-124=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[70, 88, 62, 62], Operations: []
Exploring Operation: 88-62=26, Resulting Numbers: [70, 62, 26]
Generated Node #0,0: 34:[70, 62, 26] Operation: 88-62=26
Exploring Operation: 88-70=18, Resulting Numbers: [62, 62, 18]
Generated Node #0,1: 34:[62, 62, 18] Operation: 88-70=18
Moving to Node #0,1
Current State: 34:[62, 62, 18], Operations: ['88-70=18']
Exploring Operation: 62/62=1, Resulting Numbers: [18, 1]
Generated Node #0,1,0: 34:[18, 1] Operation: 62/62=1
Exploring Operation: 62-62=0, Resulting Numbers: [18, 0]
Generated Node #0,1,1: 34:[18, 0] Operation: 62-62=0
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[18, 1], Operations: ['88-70=18', '62/62=1']
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,34 unequal: No Solution
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[18, 0], Operations: ['88-70=18', '62-62=0']
Exploring Operation: 18+0=18, Resulting Numbers: [18]
18,34 unequal: No Solution
Exploring Operation: 18-0=18, Resulting Numbers: [18]
18,34 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: 34:[70, 62, 26], Operations: ['88-62=26']
Exploring Operation: 70-26=44, Resulting Numbers: [62, 44]
Generated Node #0,0,0: 34:[62, 44] Operation: 70-26=44
Exploring Operation: 70-62=8, Resulting Numbers: [26, 8]
Generated Node #0,0,1: 34:[26, 8] Operation: 70-62=8
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 34:[26, 8], Operations: ['88-62=26', '70-62=8']
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[70, 88, 62, 62], Operations: []
Exploring Operation: 88-62=26, Resulting Numbers: [70, 62, 26]
Generated Node #0,0: 34:[70, 62, 26] Operation: 88-62=26
Moving to Node #0,0
Current State: 34:[70, 62, 26], Operations: ['88-62=26']
Exploring Operation: 70-62=8, Resulting Numbers: [26, 8]
Generated Node #0,0,1: 34:[26, 8] Operation: 70-62=8
Moving to Node #0,0,1
Current State: 34:[26, 8], Operations: ['88-62=26', '70-62=8']
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
7,
2,
78,
58
] | 91 | [
"7+58=65",
"2*78=156",
"156-65=91"
] | Current State: 91:[7, 2, 78, 58], Operations: []
Exploring Operation: 7+58=65, Resulting Numbers: [2, 78, 65]
Generated Node #2: [2, 78, 65] from Operation: 7+58=65
Current State: 91:[2, 78, 65], Operations: ['7+58=65']
Exploring Operation: 2*78=156, Resulting Numbers: [65, 156]
Generated Node #3: [65, 156] from Operation: 2*78=156
Current State: 91:[65, 156], Operations: ['7+58=65', '2*78=156']
Exploring Operation: 156-65=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[7, 2, 78, 58], Operations: []
Exploring Operation: 58/2=29, Resulting Numbers: [7, 78, 29]
Generated Node #0,0: 91:[7, 78, 29] Operation: 58/2=29
Exploring Operation: 78-58=20, Resulting Numbers: [7, 2, 20]
Generated Node #0,1: 91:[7, 2, 20] Operation: 78-58=20
Exploring Operation: 2*58=116, Resulting Numbers: [7, 78, 116]
Generated Node #0,2: 91:[7, 78, 116] Operation: 2*58=116
Moving to Node #0,1
Current State: 91:[7, 2, 20], Operations: ['78-58=20']
Exploring Operation: 20-2=18, Resulting Numbers: [7, 18]
Generated Node #0,1,0: 91:[7, 18] Operation: 20-2=18
Exploring Operation: 20-7=13, Resulting Numbers: [2, 13]
Generated Node #0,1,1: 91:[2, 13] Operation: 20-7=13
Exploring Operation: 20/2=10, Resulting Numbers: [7, 10]
Generated Node #0,1,2: 91:[7, 10] Operation: 20/2=10
Moving to Node #0,0
Current State: 91:[7, 78, 29], Operations: ['58/2=29']
Exploring Operation: 7+78=85, Resulting Numbers: [29, 85]
Generated Node #0,0,0: 91:[29, 85] Operation: 7+78=85
Exploring Operation: 78+29=107, Resulting Numbers: [7, 107]
Generated Node #0,0,1: 91:[7, 107] Operation: 78+29=107
Exploring Operation: 29-7=22, Resulting Numbers: [78, 22]
Generated Node #0,0,2: 91:[78, 22] Operation: 29-7=22
Moving to Node #0,2
Current State: 91:[7, 78, 116], Operations: ['2*58=116']
Exploring Operation: 116-7=109, Resulting Numbers: [78, 109]
Generated Node #0,2,0: 91:[78, 109] Operation: 116-7=109
Exploring Operation: 7+78=85, Resulting Numbers: [116, 85]
Generated Node #0,2,1: 91:[116, 85] Operation: 7+78=85
Exploring Operation: 116-78=38, Resulting Numbers: [7, 38]
Generated Node #0,2,2: 91:[7, 38] Operation: 116-78=38
Moving to Node #0,1,2
Current State: 91:[7, 10], Operations: ['78-58=20', '20/2=10']
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,91 unequal: No Solution
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[2, 13], Operations: ['78-58=20', '20-7=13']
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,91 unequal: No Solution
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[7, 18], Operations: ['78-58=20', '20-2=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,91 unequal: No Solution
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,91 unequal: No Solution
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[7, 107], Operations: ['58/2=29', '78+29=107']
Exploring Operation: 107-7=100, Resulting Numbers: [100]
100,91 unequal: No Solution
Exploring Operation: 7+107=114, Resulting Numbers: [114]
114,91 unequal: No Solution
Exploring Operation: 7*107=749, Resulting Numbers: [749]
749,91 unequal: No Solution
Moving to Node #0,0,2
Current State: 91:[78, 22], Operations: ['58/2=29', '29-7=22']
Exploring Operation: 78+22=100, Resulting Numbers: [100]
100,91 unequal: No Solution
Exploring Operation: 78*22=1716, Resulting Numbers: [1716]
1716,91 unequal: No Solution
Exploring Operation: 78-22=56, Resulting Numbers: [56]
56,91 unequal: No Solution
Moving to Node #0,0,0
Current State: 91:[29, 85], Operations: ['58/2=29', '7+78=85']
Exploring Operation: 85-29=56, Resulting Numbers: [56]
56,91 unequal: No Solution
Exploring Operation: 29*85=2465, Resulting Numbers: [2465]
2465,91 unequal: No Solution
Exploring Operation: 29+85=114, Resulting Numbers: [114]
114,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[7, 38], Operations: ['2*58=116', '116-78=38']
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,91 unequal: No Solution
Exploring Operation: 7*38=266, Resulting Numbers: [266]
266,91 unequal: No Solution
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[78, 109], Operations: ['2*58=116', '116-7=109']
Exploring Operation: 78+109=187, Resulting Numbers: [187]
187,91 unequal: No Solution
Exploring Operation: 109-78=31, Resulting Numbers: [31]
31,91 unequal: No Solution
Exploring Operation: 78*109=8502, Resulting Numbers: [8502]
8502,91 unequal: No Solution
Moving to Node #0,2,1
Current State: 91:[116, 85], Operations: ['2*58=116', '7+78=85']
Exploring Operation: 116+85=201, Resulting Numbers: [201]
201,91 unequal: No Solution
Exploring Operation: 116*85=9860, Resulting Numbers: [9860]
9860,91 unequal: No Solution
Exploring Operation: 116-85=31, Resulting Numbers: [31]
31,91 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
47,
28,
60,
53
] | 68 | [
"47+28=75",
"60-53=7",
"75-7=68"
] | Current State: 68:[47, 28, 60, 53], Operations: []
Exploring Operation: 47+28=75, Resulting Numbers: [60, 53, 75]
Generated Node #2: [60, 53, 75] from Operation: 47+28=75
Current State: 68:[60, 53, 75], Operations: ['47+28=75']
Exploring Operation: 60-53=7, Resulting Numbers: [75, 7]
Generated Node #3: [75, 7] from Operation: 60-53=7
Current State: 68:[75, 7], Operations: ['47+28=75', '60-53=7']
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[47, 28, 60, 53], Operations: []
Exploring Operation: 60-53=7, Resulting Numbers: [47, 28, 7]
Generated Node #0,0: 68:[47, 28, 7] Operation: 60-53=7
Exploring Operation: 53-47=6, Resulting Numbers: [28, 60, 6]
Generated Node #0,1: 68:[28, 60, 6] Operation: 53-47=6
Exploring Operation: 47-28=19, Resulting Numbers: [60, 53, 19]
Generated Node #0,2: 68:[60, 53, 19] Operation: 47-28=19
Exploring Operation: 60-47=13, Resulting Numbers: [28, 53, 13]
Generated Node #0,3: 68:[28, 53, 13] Operation: 60-47=13
Moving to Node #0,1
Current State: 68:[28, 60, 6], Operations: ['53-47=6']
Exploring Operation: 60-28=32, Resulting Numbers: [6, 32]
Generated Node #0,1,0: 68:[6, 32] Operation: 60-28=32
Exploring Operation: 60/6=10, Resulting Numbers: [28, 10]
Generated Node #0,1,1: 68:[28, 10] Operation: 60/6=10
Exploring Operation: 28+6=34, Resulting Numbers: [60, 34]
Generated Node #0,1,2: 68:[60, 34] Operation: 28+6=34
Exploring Operation: 60+6=66, Resulting Numbers: [28, 66]
Generated Node #0,1,3: 68:[28, 66] Operation: 60+6=66
Moving to Node #0,0
Current State: 68:[47, 28, 7], Operations: ['60-53=7']
Exploring Operation: 47+28=75, Resulting Numbers: [7, 75]
Generated Node #0,0,0: 68:[7, 75] Operation: 47+28=75
Exploring Operation: 47-7=40, Resulting Numbers: [28, 40]
Generated Node #0,0,1: 68:[28, 40] Operation: 47-7=40
Exploring Operation: 47-28=19, Resulting Numbers: [7, 19]
Generated Node #0,0,2: 68:[7, 19] Operation: 47-28=19
Exploring Operation: 28/7=4, Resulting Numbers: [47, 4]
Generated Node #0,0,3: 68:[47, 4] Operation: 28/7=4
Moving to Node #0,3
Current State: 68:[28, 53, 13], Operations: ['60-47=13']
Exploring Operation: 28+53=81, Resulting Numbers: [13, 81]
Generated Node #0,3,0: 68:[13, 81] Operation: 28+53=81
Exploring Operation: 53-13=40, Resulting Numbers: [28, 40]
Generated Node #0,3,1: 68:[28, 40] Operation: 53-13=40
Exploring Operation: 53+13=66, Resulting Numbers: [28, 66]
Generated Node #0,3,2: 68:[28, 66] Operation: 53+13=66
Exploring Operation: 53-28=25, Resulting Numbers: [13, 25]
Generated Node #0,3,3: 68:[13, 25] Operation: 53-28=25
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 68:[28, 66], Operations: ['60-47=13', '53+13=66']
Exploring Operation: 28*66=1848, Resulting Numbers: [1848]
1848,68 unequal: No Solution
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,68 unequal: No Solution
Exploring Operation: 28+66=94, Resulting Numbers: [94]
94,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 68:[28, 40], Operations: ['60-47=13', '53-13=40']
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,68 unequal: No Solution
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[47, 28, 60, 53], Operations: []
Exploring Operation: 60-47=13, Resulting Numbers: [28, 53, 13]
Generated Node #0,3: 68:[28, 53, 13] Operation: 60-47=13
Moving to Node #0,3
Current State: 68:[28, 53, 13], Operations: ['60-47=13']
Exploring Operation: 53-13=40, Resulting Numbers: [28, 40]
Generated Node #0,3,1: 68:[28, 40] Operation: 53-13=40
Moving to Node #0,3,1
Current State: 68:[28, 40], Operations: ['60-47=13', '53-13=40']
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_4 | sum_heuristic |
[
58,
55,
54,
85
] | 27 | [
"85-58=27",
"55-54=1",
"27*1=27"
] | Current State: 27:[58, 55, 54, 85], Operations: []
Exploring Operation: 85-58=27, Resulting Numbers: [55, 54, 27]
Generated Node #2: [55, 54, 27] from Operation: 85-58=27
Current State: 27:[55, 54, 27], Operations: ['85-58=27']
Exploring Operation: 55-54=1, Resulting Numbers: [27, 1]
Generated Node #3: [27, 1] from Operation: 55-54=1
Current State: 27:[27, 1], Operations: ['85-58=27', '55-54=1']
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[58, 55, 54, 85], Operations: []
Exploring Operation: 85-55=30, Resulting Numbers: [58, 54, 30]
Generated Node #0,0: 27:[58, 54, 30] Operation: 85-55=30
Exploring Operation: 85-58=27, Resulting Numbers: [55, 54, 27]
Generated Node #0,1: 27:[55, 54, 27] Operation: 85-58=27
Moving to Node #0,1
Current State: 27:[55, 54, 27], Operations: ['85-58=27']
Exploring Operation: 55-27=28, Resulting Numbers: [54, 28]
Generated Node #0,1,0: 27:[54, 28] Operation: 55-27=28
Exploring Operation: 55-54=1, Resulting Numbers: [27, 1]
Generated Node #0,1,1: 27:[27, 1] Operation: 55-54=1
Moving to Node #0,0
Current State: 27:[58, 54, 30], Operations: ['85-55=30']
Exploring Operation: 58-54=4, Resulting Numbers: [30, 4]
Generated Node #0,0,0: 27:[30, 4] Operation: 58-54=4
Exploring Operation: 58-30=28, Resulting Numbers: [54, 28]
Generated Node #0,0,1: 27:[54, 28] Operation: 58-30=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 27:[30, 4], Operations: ['85-55=30', '58-54=4']
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,27 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,27 unequal: No Solution
No 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: 27:[54, 28], Operations: ['85-55=30', '58-30=28']
Exploring Operation: 54+28=82, Resulting Numbers: [82]
82,27 unequal: No Solution
Exploring Operation: 54-28=26, Resulting Numbers: [26]
26,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 27:[27, 1], Operations: ['85-58=27', '55-54=1']
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[58, 55, 54, 85], Operations: []
Exploring Operation: 85-58=27, Resulting Numbers: [55, 54, 27]
Generated Node #0,1: 27:[55, 54, 27] Operation: 85-58=27
Moving to Node #0,1
Current State: 27:[55, 54, 27], Operations: ['85-58=27']
Exploring Operation: 55-54=1, Resulting Numbers: [27, 1]
Generated Node #0,1,1: 27:[27, 1] Operation: 55-54=1
Moving to Node #0,1,1
Current State: 27:[27, 1], Operations: ['85-58=27', '55-54=1']
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
25,
7,
57,
34
] | 17 | [
"25*34=850",
"57-7=50",
"850/50=17"
] | Current State: 17:[25, 7, 57, 34], Operations: []
Exploring Operation: 25*34=850, Resulting Numbers: [7, 57, 850]
Generated Node #2: [7, 57, 850] from Operation: 25*34=850
Current State: 17:[7, 57, 850], Operations: ['25*34=850']
Exploring Operation: 57-7=50, Resulting Numbers: [850, 50]
Generated Node #3: [850, 50] from Operation: 57-7=50
Current State: 17:[850, 50], Operations: ['25*34=850', '57-7=50']
Exploring Operation: 850/50=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[25, 7, 57, 34], Operations: []
Exploring Operation: 57-34=23, Resulting Numbers: [25, 7, 23]
Generated Node #0,0: 17:[25, 7, 23] Operation: 57-34=23
Moving to Node #0,0
Current State: 17:[25, 7, 23], Operations: ['57-34=23']
Exploring Operation: 25-7=18, Resulting Numbers: [23, 18]
Generated Node #0,0,0: 17:[23, 18] Operation: 25-7=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 17:[23, 18], Operations: ['57-34=23', '25-7=18']
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,17 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 |
[
22,
88,
3,
25
] | 38 | [
"88-22=66",
"3+25=28",
"66-28=38"
] | Current State: 38:[22, 88, 3, 25], Operations: []
Exploring Operation: 88-22=66, Resulting Numbers: [3, 25, 66]
Generated Node #2: [3, 25, 66] from Operation: 88-22=66
Current State: 38:[3, 25, 66], Operations: ['88-22=66']
Exploring Operation: 3+25=28, Resulting Numbers: [66, 28]
Generated Node #3: [66, 28] from Operation: 3+25=28
Current State: 38:[66, 28], Operations: ['88-22=66', '3+25=28']
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[22, 88, 3, 25], Operations: []
Exploring Operation: 88-22=66, Resulting Numbers: [3, 25, 66]
Generated Node #0,0: 38:[3, 25, 66] Operation: 88-22=66
Exploring Operation: 88-25=63, Resulting Numbers: [22, 3, 63]
Generated Node #0,1: 38:[22, 3, 63] Operation: 88-25=63
Exploring Operation: 88/22=4, Resulting Numbers: [3, 25, 4]
Generated Node #0,2: 38:[3, 25, 4] Operation: 88/22=4
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[3, 25, 4], Operations: ['88/22=4']
Exploring Operation: 4-3=1, Resulting Numbers: [25, 1]
Generated Node #0,2,0: 38:[25, 1] Operation: 4-3=1
Exploring Operation: 25-3=22, Resulting Numbers: [4, 22]
Generated Node #0,2,1: 38:[4, 22] Operation: 25-3=22
Exploring Operation: 25-4=21, Resulting Numbers: [3, 21]
Generated Node #0,2,2: 38:[3, 21] Operation: 25-4=21
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 38:[3, 21], Operations: ['88/22=4', '25-4=21']
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,38 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 38:[4, 22], Operations: ['88/22=4', '25-3=22']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,38 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 38:[25, 1], Operations: ['88/22=4', '4-3=1']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[22, 3, 63], Operations: ['88-25=63']
Exploring Operation: 22-3=19, Resulting Numbers: [63, 19]
Generated Node #0,1,0: 38:[63, 19] Operation: 22-3=19
Exploring Operation: 63-22=41, Resulting Numbers: [3, 41]
Generated Node #0,1,1: 38:[3, 41] Operation: 63-22=41
Exploring Operation: 63/3=21, Resulting Numbers: [22, 21]
Generated Node #0,1,2: 38:[22, 21] Operation: 63/3=21
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 38:[3, 41], Operations: ['88-25=63', '63-22=41']
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Exploring Operation: 3*41=123, Resulting Numbers: [123]
123,38 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[22, 88, 3, 25], Operations: []
Exploring Operation: 88-25=63, Resulting Numbers: [22, 3, 63]
Generated Node #0,1: 38:[22, 3, 63] Operation: 88-25=63
Moving to Node #0,1
Current State: 38:[22, 3, 63], Operations: ['88-25=63']
Exploring Operation: 63-22=41, Resulting Numbers: [3, 41]
Generated Node #0,1,1: 38:[3, 41] Operation: 63-22=41
Moving to Node #0,1,1
Current State: 38:[3, 41], Operations: ['88-25=63', '63-22=41']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.978299 | hs_3 | sum_heuristic |
[
30,
71,
2,
51
] | 90 | [
"71-30=41",
"51-2=49",
"41+49=90"
] | Current State: 90:[30, 71, 2, 51], Operations: []
Exploring Operation: 71-30=41, Resulting Numbers: [2, 51, 41]
Generated Node #2: [2, 51, 41] from Operation: 71-30=41
Current State: 90:[2, 51, 41], Operations: ['71-30=41']
Exploring Operation: 51-2=49, Resulting Numbers: [41, 49]
Generated Node #3: [41, 49] from Operation: 51-2=49
Current State: 90:[41, 49], Operations: ['71-30=41', '51-2=49']
Exploring Operation: 41+49=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[30, 71, 2, 51], Operations: []
Exploring Operation: 71-51=20, Resulting Numbers: [30, 2, 20]
Generated Node #0,0: 90:[30, 2, 20] Operation: 71-51=20
Moving to Node #0,0
Current State: 90:[30, 2, 20], Operations: ['71-51=20']
Exploring Operation: 30-20=10, Resulting Numbers: [2, 10]
Generated Node #0,0,0: 90:[2, 10] Operation: 30-20=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 90:[2, 10], Operations: ['71-51=20', '30-20=10']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,90 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 |
[
63,
22,
84,
78
] | 69 | [
"84-78=6",
"22*6=132",
"132-63=69"
] | Current State: 69:[63, 22, 84, 78], Operations: []
Exploring Operation: 84-78=6, Resulting Numbers: [63, 22, 6]
Generated Node #2: [63, 22, 6] from Operation: 84-78=6
Current State: 69:[63, 22, 6], Operations: ['84-78=6']
Exploring Operation: 22*6=132, Resulting Numbers: [63, 132]
Generated Node #3: [63, 132] from Operation: 22*6=132
Current State: 69:[63, 132], Operations: ['84-78=6', '22*6=132']
Exploring Operation: 132-63=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[63, 22, 84, 78], Operations: []
Exploring Operation: 84-63=21, Resulting Numbers: [22, 78, 21]
Generated Node #0,0: 69:[22, 78, 21] Operation: 84-63=21
Exploring Operation: 84-78=6, Resulting Numbers: [63, 22, 6]
Generated Node #0,1: 69:[63, 22, 6] Operation: 84-78=6
Moving to Node #0,1
Current State: 69:[63, 22, 6], Operations: ['84-78=6']
Exploring Operation: 63+6=69, Resulting Numbers: [22, 69]
Generated Node #0,1,0: 69:[22, 69] Operation: 63+6=69
Exploring Operation: 22+6=28, Resulting Numbers: [63, 28]
Generated Node #0,1,1: 69:[63, 28] Operation: 22+6=28
Moving to Node #0,0
Current State: 69:[22, 78, 21], Operations: ['84-63=21']
Exploring Operation: 22-21=1, Resulting Numbers: [78, 1]
Generated Node #0,0,0: 69:[78, 1] Operation: 22-21=1
Exploring Operation: 78-21=57, Resulting Numbers: [22, 57]
Generated Node #0,0,1: 69:[22, 57] Operation: 78-21=57
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[78, 1], Operations: ['84-63=21', '22-21=1']
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,69 unequal: No Solution
Exploring Operation: 78*1=78, Resulting Numbers: [78]
78,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 69:[22, 57], Operations: ['84-63=21', '78-21=57']
Exploring Operation: 22+57=79, Resulting Numbers: [79]
79,69 unequal: No Solution
Exploring Operation: 57-22=35, Resulting Numbers: [35]
35,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 69:[22, 69], Operations: ['84-78=6', '63+6=69']
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,69 unequal: No Solution
Exploring Operation: 22+69=91, Resulting Numbers: [91]
91,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[63, 28], Operations: ['84-78=6', '22+6=28']
Exploring Operation: 63+28=91, Resulting Numbers: [91]
91,69 unequal: No Solution
Exploring Operation: 63-28=35, Resulting Numbers: [35]
35,69 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
63,
46,
85,
97
] | 73 | [
"63+46=109",
"85+97=182",
"182-109=73"
] | Current State: 73:[63, 46, 85, 97], Operations: []
Exploring Operation: 63+46=109, Resulting Numbers: [85, 97, 109]
Generated Node #2: [85, 97, 109] from Operation: 63+46=109
Current State: 73:[85, 97, 109], Operations: ['63+46=109']
Exploring Operation: 85+97=182, Resulting Numbers: [109, 182]
Generated Node #3: [109, 182] from Operation: 85+97=182
Current State: 73:[109, 182], Operations: ['63+46=109', '85+97=182']
Exploring Operation: 182-109=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[63, 46, 85, 97], Operations: []
Exploring Operation: 97-46=51, Resulting Numbers: [63, 85, 51]
Generated Node #0,0: 73:[63, 85, 51] Operation: 97-46=51
Exploring Operation: 85-46=39, Resulting Numbers: [63, 97, 39]
Generated Node #0,1: 73:[63, 97, 39] Operation: 85-46=39
Moving to Node #0,0
Current State: 73:[63, 85, 51], Operations: ['97-46=51']
Exploring Operation: 85-51=34, Resulting Numbers: [63, 34]
Generated Node #0,0,0: 73:[63, 34] Operation: 85-51=34
Exploring Operation: 63+51=114, Resulting Numbers: [85, 114]
Generated Node #0,0,1: 73:[85, 114] Operation: 63+51=114
Moving to Node #0,1
Current State: 73:[63, 97, 39], Operations: ['85-46=39']
Exploring Operation: 63+39=102, Resulting Numbers: [97, 102]
Generated Node #0,1,0: 73:[97, 102] Operation: 63+39=102
Exploring Operation: 97-39=58, Resulting Numbers: [63, 58]
Generated Node #0,1,1: 73:[63, 58] Operation: 97-39=58
Moving to Node #0,1,1
Current State: 73:[63, 58], Operations: ['85-46=39', '97-39=58']
Exploring Operation: 63-58=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Exploring Operation: 63+58=121, Resulting Numbers: [121]
121,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[63, 34], Operations: ['97-46=51', '85-51=34']
Exploring Operation: 63+34=97, Resulting Numbers: [97]
97,73 unequal: No Solution
Exploring Operation: 63-34=29, Resulting Numbers: [29]
29,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[85, 114], Operations: ['97-46=51', '63+51=114']
Exploring Operation: 114-85=29, Resulting Numbers: [29]
29,73 unequal: No Solution
Exploring Operation: 85+114=199, Resulting Numbers: [199]
199,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[97, 102], Operations: ['85-46=39', '63+39=102']
Exploring Operation: 102-97=5, Resulting Numbers: [5]
5,73 unequal: No Solution
Exploring Operation: 97+102=199, Resulting Numbers: [199]
199,73 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
5,
8,
70,
87
] | 65 | [
"70/5=14",
"87-8=79",
"79-14=65"
] | Current State: 65:[5, 8, 70, 87], Operations: []
Exploring Operation: 70/5=14, Resulting Numbers: [8, 87, 14]
Generated Node #2: [8, 87, 14] from Operation: 70/5=14
Current State: 65:[8, 87, 14], Operations: ['70/5=14']
Exploring Operation: 87-8=79, Resulting Numbers: [14, 79]
Generated Node #3: [14, 79] from Operation: 87-8=79
Current State: 65:[14, 79], Operations: ['70/5=14', '87-8=79']
Exploring Operation: 79-14=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[5, 8, 70, 87], Operations: []
Exploring Operation: 87-5=82, Resulting Numbers: [8, 70, 82]
Generated Node #0,0: 65:[8, 70, 82] Operation: 87-5=82
Exploring Operation: 87-8=79, Resulting Numbers: [5, 70, 79]
Generated Node #0,1: 65:[5, 70, 79] Operation: 87-8=79
Exploring Operation: 70-5=65, Resulting Numbers: [8, 87, 65]
Generated Node #0,2: 65:[8, 87, 65] Operation: 70-5=65
Exploring Operation: 87-70=17, Resulting Numbers: [5, 8, 17]
Generated Node #0,3: 65:[5, 8, 17] Operation: 87-70=17
Start Sub Search at level 1: Moving to Node #0,3
Current State: 65:[5, 8, 17], Operations: ['87-70=17']
Exploring Operation: 17-8=9, Resulting Numbers: [5, 9]
Generated Node #0,3,0: 65:[5, 9] Operation: 17-8=9
Exploring Operation: 17-5=12, Resulting Numbers: [8, 12]
Generated Node #0,3,1: 65:[8, 12] Operation: 17-5=12
Exploring Operation: 8-5=3, Resulting Numbers: [17, 3]
Generated Node #0,3,2: 65:[17, 3] Operation: 8-5=3
Exploring Operation: 5+8=13, Resulting Numbers: [17, 13]
Generated Node #0,3,3: 65:[17, 13] Operation: 5+8=13
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 65:[5, 9], Operations: ['87-70=17', '17-8=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,65 unequal: No Solution
No 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: 65:[8, 12], Operations: ['87-70=17', '17-5=12']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,65 unequal: No Solution
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,65 unequal: No Solution
No 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: 65:[17, 13], Operations: ['87-70=17', '5+8=13']
Exploring Operation: 17+13=30, Resulting Numbers: [30]
30,65 unequal: No Solution
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 17*13=221, Resulting Numbers: [221]
221,65 unequal: No Solution
No 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: 65:[17, 3], Operations: ['87-70=17', '8-5=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,65 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,65 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: 65:[5, 70, 79], Operations: ['87-8=79']
Exploring Operation: 79-70=9, Resulting Numbers: [5, 9]
Generated Node #0,1,0: 65:[5, 9] Operation: 79-70=9
Exploring Operation: 70/5=14, Resulting Numbers: [79, 14]
Generated Node #0,1,1: 65:[79, 14] Operation: 70/5=14
Exploring Operation: 79-5=74, Resulting Numbers: [70, 74]
Generated Node #0,1,2: 65:[70, 74] Operation: 79-5=74
Exploring Operation: 70-5=65, Resulting Numbers: [79, 65]
Generated Node #0,1,3: 65:[79, 65] Operation: 70-5=65
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 65:[5, 9], Operations: ['87-8=79', '79-70=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,65 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,65 unequal: No Solution
No 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: 65:[70, 74], Operations: ['87-8=79', '79-5=74']
Exploring Operation: 70*74=5180, Resulting Numbers: [5180]
5180,65 unequal: No Solution
Exploring Operation: 70+74=144, Resulting Numbers: [144]
144,65 unequal: No Solution
Exploring Operation: 74-70=4, Resulting Numbers: [4]
4,65 unequal: No Solution
No 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: 65:[79, 65], Operations: ['87-8=79', '70-5=65']
Exploring Operation: 79-65=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 79*65=5135, Resulting Numbers: [5135]
5135,65 unequal: No Solution
Exploring Operation: 79+65=144, Resulting Numbers: [144]
144,65 unequal: No Solution
No 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: 65:[79, 14], Operations: ['87-8=79', '70/5=14']
Exploring Operation: 79+14=93, Resulting Numbers: [93]
93,65 unequal: No Solution
Exploring Operation: 79*14=1106, Resulting Numbers: [1106]
1106,65 unequal: No Solution
Exploring Operation: 79-14=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[5, 8, 70, 87], Operations: []
Exploring Operation: 87-8=79, Resulting Numbers: [5, 70, 79]
Generated Node #0,1: 65:[5, 70, 79] Operation: 87-8=79
Moving to Node #0,1
Current State: 65:[5, 70, 79], Operations: ['87-8=79']
Exploring Operation: 70/5=14, Resulting Numbers: [79, 14]
Generated Node #0,1,1: 65:[79, 14] Operation: 70/5=14
Moving to Node #0,1,1
Current State: 65:[79, 14], Operations: ['87-8=79', '70/5=14']
Exploring Operation: 79-14=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.965278 | hs_4 | sum_heuristic |
[
88,
87,
47,
68
] | 60 | [
"88+87=175",
"47+68=115",
"175-115=60"
] | Current State: 60:[88, 87, 47, 68], Operations: []
Exploring Operation: 88+87=175, Resulting Numbers: [47, 68, 175]
Generated Node #2: [47, 68, 175] from Operation: 88+87=175
Current State: 60:[47, 68, 175], Operations: ['88+87=175']
Exploring Operation: 47+68=115, Resulting Numbers: [175, 115]
Generated Node #3: [175, 115] from Operation: 47+68=115
Current State: 60:[175, 115], Operations: ['88+87=175', '47+68=115']
Exploring Operation: 175-115=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[88, 87, 47, 68], Operations: []
Exploring Operation: 88-87=1, Resulting Numbers: [47, 68, 1]
Generated Node #0,0: 60:[47, 68, 1] Operation: 88-87=1
Moving to Node #0,0
Current State: 60:[47, 68, 1], Operations: ['88-87=1']
Exploring Operation: 68-47=21, Resulting Numbers: [1, 21]
Generated Node #0,0,0: 60:[1, 21] Operation: 68-47=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 60:[1, 21], Operations: ['88-87=1', '68-47=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
74,
6,
12,
42
] | 95 | [
"12/6=2",
"42/2=21",
"74+21=95"
] | Current State: 95:[74, 6, 12, 42], Operations: []
Exploring Operation: 12/6=2, Resulting Numbers: [74, 42, 2]
Generated Node #2: [74, 42, 2] from Operation: 12/6=2
Current State: 95:[74, 42, 2], Operations: ['12/6=2']
Exploring Operation: 42/2=21, Resulting Numbers: [74, 21]
Generated Node #3: [74, 21] from Operation: 42/2=21
Current State: 95:[74, 21], Operations: ['12/6=2', '42/2=21']
Exploring Operation: 74+21=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[74, 6, 12, 42], Operations: []
Exploring Operation: 42/6=7, Resulting Numbers: [74, 12, 7]
Generated Node #0,0: 95:[74, 12, 7] Operation: 42/6=7
Exploring Operation: 74+42=116, Resulting Numbers: [6, 12, 116]
Generated Node #0,1: 95:[6, 12, 116] Operation: 74+42=116
Exploring Operation: 74-42=32, Resulting Numbers: [6, 12, 32]
Generated Node #0,2: 95:[6, 12, 32] Operation: 74-42=32
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[6, 12, 32], Operations: ['74-42=32']
Exploring Operation: 32-12=20, Resulting Numbers: [6, 20]
Generated Node #0,2,0: 95:[6, 20] Operation: 32-12=20
Exploring Operation: 6+12=18, Resulting Numbers: [32, 18]
Generated Node #0,2,1: 95:[32, 18] Operation: 6+12=18
Exploring Operation: 12-6=6, Resulting Numbers: [32, 6]
Generated Node #0,2,2: 95:[32, 6] Operation: 12-6=6
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 95:[6, 20], Operations: ['74-42=32', '32-12=20']
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,95 unequal: No Solution
Exploring Operation: 6*20=120, Resulting Numbers: [120]
120,95 unequal: No Solution
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,95 unequal: No Solution
No 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: 95:[32, 18], Operations: ['74-42=32', '6+12=18']
Exploring Operation: 32+18=50, Resulting Numbers: [50]
50,95 unequal: No Solution
Exploring Operation: 32*18=576, Resulting Numbers: [576]
576,95 unequal: No Solution
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,95 unequal: No Solution
No 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: 95:[32, 6], Operations: ['74-42=32', '12-6=6']
Exploring Operation: 32*6=192, Resulting Numbers: [192]
192,95 unequal: No Solution
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,95 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,95 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: 95:[6, 12, 116], Operations: ['74+42=116']
Exploring Operation: 12-6=6, Resulting Numbers: [116, 6]
Generated Node #0,1,0: 95:[116, 6] Operation: 12-6=6
Exploring Operation: 116-12=104, Resulting Numbers: [6, 104]
Generated Node #0,1,1: 95:[6, 104] Operation: 116-12=104
Exploring Operation: 6+12=18, Resulting Numbers: [116, 18]
Generated Node #0,1,2: 95:[116, 18] Operation: 6+12=18
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 95:[6, 104], Operations: ['74+42=116', '116-12=104']
Exploring Operation: 6*104=624, Resulting Numbers: [624]
624,95 unequal: No Solution
Exploring Operation: 104-6=98, Resulting Numbers: [98]
98,95 unequal: No Solution
Exploring Operation: 6+104=110, Resulting Numbers: [110]
110,95 unequal: No Solution
No 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: 95:[116, 6], Operations: ['74+42=116', '12-6=6']
Exploring Operation: 116-6=110, Resulting Numbers: [110]
110,95 unequal: No Solution
Exploring Operation: 116*6=696, Resulting Numbers: [696]
696,95 unequal: No Solution
Exploring Operation: 116+6=122, Resulting Numbers: [122]
122,95 unequal: No Solution
No 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: 95:[116, 18], Operations: ['74+42=116', '6+12=18']
Exploring Operation: 116*18=2088, Resulting Numbers: [2088]
2088,95 unequal: No Solution
Exploring Operation: 116-18=98, Resulting Numbers: [98]
98,95 unequal: No Solution
Exploring Operation: 116+18=134, Resulting Numbers: [134]
134,95 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: 95:[74, 12, 7], Operations: ['42/6=7']
Exploring Operation: 12+7=19, Resulting Numbers: [74, 19]
Generated Node #0,0,0: 95:[74, 19] Operation: 12+7=19
Exploring Operation: 74+7=81, Resulting Numbers: [12, 81]
Generated Node #0,0,1: 95:[12, 81] Operation: 74+7=81
Exploring Operation: 74+12=86, Resulting Numbers: [7, 86]
Generated Node #0,0,2: 95:[7, 86] Operation: 74+12=86
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 95:[7, 86], Operations: ['42/6=7', '74+12=86']
Exploring Operation: 86-7=79, Resulting Numbers: [79]
79,95 unequal: No Solution
Exploring Operation: 7*86=602, Resulting Numbers: [602]
602,95 unequal: No Solution
Exploring Operation: 7+86=93, Resulting Numbers: [93]
93,95 unequal: No Solution
No 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: 95:[74, 19], Operations: ['42/6=7', '12+7=19']
Exploring Operation: 74*19=1406, Resulting Numbers: [1406]
1406,95 unequal: No Solution
Exploring Operation: 74+19=93, Resulting Numbers: [93]
93,95 unequal: No Solution
Exploring Operation: 74-19=55, Resulting Numbers: [55]
55,95 unequal: No Solution
No 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: 95:[12, 81], Operations: ['42/6=7', '74+7=81']
Exploring Operation: 81-12=69, Resulting Numbers: [69]
69,95 unequal: No Solution
Exploring Operation: 12*81=972, Resulting Numbers: [972]
972,95 unequal: No Solution
Exploring Operation: 12+81=93, Resulting Numbers: [93]
93,95 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 |
[
23,
97,
5,
5
] | 97 | [
"5-5=0",
"23*0=0",
"97+0=97"
] | Current State: 97:[23, 97, 5, 5], Operations: []
Exploring Operation: 5-5=0, Resulting Numbers: [23, 97, 0]
Generated Node #2: [23, 97, 0] from Operation: 5-5=0
Current State: 97:[23, 97, 0], Operations: ['5-5=0']
Exploring Operation: 23*0=0, Resulting Numbers: [97, 0]
Generated Node #3: [97, 0] from Operation: 23*0=0
Current State: 97:[97, 0], Operations: ['5-5=0', '23*0=0']
Exploring Operation: 97+0=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[23, 97, 5, 5], Operations: []
Exploring Operation: 23*5=115, Resulting Numbers: [97, 5, 115]
Generated Node #0,0: 97:[97, 5, 115] Operation: 23*5=115
Exploring Operation: 23*5=115, Resulting Numbers: [97, 5, 115]
Generated Node #0,1: 97:[97, 5, 115] Operation: 23*5=115
Exploring Operation: 23+5=28, Resulting Numbers: [97, 5, 28]
Generated Node #0,2: 97:[97, 5, 28] Operation: 23+5=28
Exploring Operation: 5*5=25, Resulting Numbers: [23, 97, 25]
Generated Node #0,3: 97:[23, 97, 25] Operation: 5*5=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[97, 5, 115], Operations: ['23*5=115']
Exploring Operation: 97+5=102, Resulting Numbers: [115, 102]
Generated Node #0,0,0: 97:[115, 102] Operation: 97+5=102
Exploring Operation: 115-5=110, Resulting Numbers: [97, 110]
Generated Node #0,0,1: 97:[97, 110] Operation: 115-5=110
Exploring Operation: 5+115=120, Resulting Numbers: [97, 120]
Generated Node #0,0,2: 97:[97, 120] Operation: 5+115=120
Exploring Operation: 97-5=92, Resulting Numbers: [115, 92]
Generated Node #0,0,3: 97:[115, 92] Operation: 97-5=92
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[97, 110], Operations: ['23*5=115', '115-5=110']
Exploring Operation: 110-97=13, Resulting Numbers: [13]
13,97 unequal: No Solution
Exploring Operation: 97+110=207, Resulting Numbers: [207]
207,97 unequal: No Solution
Exploring Operation: 97*110=10670, Resulting Numbers: [10670]
10670,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[115, 102], Operations: ['23*5=115', '97+5=102']
Exploring Operation: 115+102=217, Resulting Numbers: [217]
217,97 unequal: No Solution
Exploring Operation: 115*102=11730, Resulting Numbers: [11730]
11730,97 unequal: No Solution
Exploring Operation: 115-102=13, Resulting Numbers: [13]
13,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 97:[97, 120], Operations: ['23*5=115', '5+115=120']
Exploring Operation: 97+120=217, Resulting Numbers: [217]
217,97 unequal: No Solution
Exploring Operation: 120-97=23, Resulting Numbers: [23]
23,97 unequal: No Solution
Exploring Operation: 97*120=11640, Resulting Numbers: [11640]
11640,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 97:[115, 92], Operations: ['23*5=115', '97-5=92']
Exploring Operation: 115*92=10580, Resulting Numbers: [10580]
10580,97 unequal: No Solution
Exploring Operation: 115+92=207, Resulting Numbers: [207]
207,97 unequal: No Solution
Exploring Operation: 115-92=23, Resulting Numbers: [23]
23,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[97, 5, 115], Operations: ['23*5=115']
Exploring Operation: 97+5=102, Resulting Numbers: [115, 102]
Generated Node #0,1,0: 97:[115, 102] Operation: 97+5=102
Exploring Operation: 5+115=120, Resulting Numbers: [97, 120]
Generated Node #0,1,1: 97:[97, 120] Operation: 5+115=120
Exploring Operation: 97-5=92, Resulting Numbers: [115, 92]
Generated Node #0,1,2: 97:[115, 92] Operation: 97-5=92
Exploring Operation: 115-5=110, Resulting Numbers: [97, 110]
Generated Node #0,1,3: 97:[97, 110] Operation: 115-5=110
Moving to Node #0,1,3
Current State: 97:[97, 110], Operations: ['23*5=115', '115-5=110']
Exploring Operation: 110-97=13, Resulting Numbers: [13]
13,97 unequal: No Solution
Exploring Operation: 97+110=207, Resulting Numbers: [207]
207,97 unequal: No Solution
Exploring Operation: 97*110=10670, Resulting Numbers: [10670]
10670,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[97, 120], Operations: ['23*5=115', '5+115=120']
Exploring Operation: 97*120=11640, Resulting Numbers: [11640]
11640,97 unequal: No Solution
Exploring Operation: 97+120=217, Resulting Numbers: [217]
217,97 unequal: No Solution
Exploring Operation: 120-97=23, Resulting Numbers: [23]
23,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[115, 102], Operations: ['23*5=115', '97+5=102']
Exploring Operation: 115*102=11730, Resulting Numbers: [11730]
11730,97 unequal: No Solution
Exploring Operation: 115+102=217, Resulting Numbers: [217]
217,97 unequal: No Solution
Exploring Operation: 115-102=13, Resulting Numbers: [13]
13,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[115, 92], Operations: ['23*5=115', '97-5=92']
Exploring Operation: 115+92=207, Resulting Numbers: [207]
207,97 unequal: No Solution
Exploring Operation: 115-92=23, Resulting Numbers: [23]
23,97 unequal: No Solution
Exploring Operation: 115*92=10580, Resulting Numbers: [10580]
10580,97 unequal: No Solution
No 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: 97:[23, 97, 25], Operations: ['5*5=25']
Exploring Operation: 97-23=74, Resulting Numbers: [25, 74]
Generated Node #0,3,0: 97:[25, 74] Operation: 97-23=74
Exploring Operation: 23+25=48, Resulting Numbers: [97, 48]
Generated Node #0,3,1: 97:[97, 48] Operation: 23+25=48
Exploring Operation: 23+97=120, Resulting Numbers: [25, 120]
Generated Node #0,3,2: 97:[25, 120] Operation: 23+97=120
Exploring Operation: 25-23=2, Resulting Numbers: [97, 2]
Generated Node #0,3,3: 97:[97, 2] Operation: 25-23=2
Moving to Node #0,3,1
Current State: 97:[97, 48], Operations: ['5*5=25', '23+25=48']
Exploring Operation: 97-48=49, Resulting Numbers: [49]
49,97 unequal: No Solution
Exploring Operation: 97+48=145, Resulting Numbers: [145]
145,97 unequal: No Solution
Exploring Operation: 97*48=4656, Resulting Numbers: [4656]
4656,97 unequal: No Solution
Moving to Node #0,3,2
Current State: 97:[25, 120], Operations: ['5*5=25', '23+97=120']
Exploring Operation: 25*120=3000, Resulting Numbers: [3000]
3000,97 unequal: No Solution
Exploring Operation: 25+120=145, Resulting Numbers: [145]
145,97 unequal: No Solution
Exploring Operation: 120-25=95, Resulting Numbers: [95]
95,97 unequal: No Solution
Moving to Node #0,3,0
Current State: 97:[25, 74], Operations: ['5*5=25', '97-23=74']
Exploring Operation: 74-25=49, Resulting Numbers: [49]
49,97 unequal: No Solution
Exploring Operation: 25*74=1850, Resulting Numbers: [1850]
1850,97 unequal: No Solution
Exploring Operation: 25+74=99, Resulting Numbers: [99]
99,97 unequal: No Solution
Moving to Node #0,3,3
Current State: 97:[97, 2], Operations: ['5*5=25', '25-23=2']
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,97 unequal: No Solution
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,97 unequal: No Solution
Exploring Operation: 97*2=194, Resulting Numbers: [194]
194,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 97:[97, 5, 28], Operations: ['23+5=28']
Exploring Operation: 97+5=102, Resulting Numbers: [28, 102]
Generated Node #0,2,0: 97:[28, 102] Operation: 97+5=102
Exploring Operation: 97-5=92, Resulting Numbers: [28, 92]
Generated Node #0,2,1: 97:[28, 92] Operation: 97-5=92
Exploring Operation: 5+28=33, Resulting Numbers: [97, 33]
Generated Node #0,2,2: 97:[97, 33] Operation: 5+28=33
Exploring Operation: 5*28=140, Resulting Numbers: [97, 140]
Generated Node #0,2,3: 97:[97, 140] Operation: 5*28=140
Moving to Node #0,2,3
Current State: 97:[97, 140], Operations: ['23+5=28', '5*28=140']
Exploring Operation: 97+140=237, Resulting Numbers: [237]
237,97 unequal: No Solution
Exploring Operation: 140-97=43, Resulting Numbers: [43]
43,97 unequal: No Solution
Exploring Operation: 97*140=13580, Resulting Numbers: [13580]
13580,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[97, 33], Operations: ['23+5=28', '5+28=33']
Exploring Operation: 97*33=3201, Resulting Numbers: [3201]
3201,97 unequal: No Solution
Exploring Operation: 97-33=64, Resulting Numbers: [64]
64,97 unequal: No Solution
Exploring Operation: 97+33=130, Resulting Numbers: [130]
130,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[28, 92], Operations: ['23+5=28', '97-5=92']
Exploring Operation: 28+92=120, Resulting Numbers: [120]
120,97 unequal: No Solution
Exploring Operation: 92-28=64, Resulting Numbers: [64]
64,97 unequal: No Solution
Exploring Operation: 28*92=2576, Resulting Numbers: [2576]
2576,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[28, 102], Operations: ['23+5=28', '97+5=102']
Exploring Operation: 28+102=130, Resulting Numbers: [130]
130,97 unequal: No Solution
Exploring Operation: 28*102=2856, Resulting Numbers: [2856]
2856,97 unequal: No Solution
Exploring Operation: 102-28=74, Resulting Numbers: [74]
74,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
43,
28,
40,
57
] | 42 | [
"57-43=14",
"28/14=2",
"40+2=42"
] | Current State: 42:[43, 28, 40, 57], Operations: []
Exploring Operation: 57-43=14, Resulting Numbers: [28, 40, 14]
Generated Node #2: [28, 40, 14] from Operation: 57-43=14
Current State: 42:[28, 40, 14], Operations: ['57-43=14']
Exploring Operation: 28/14=2, Resulting Numbers: [40, 2]
Generated Node #3: [40, 2] from Operation: 28/14=2
Current State: 42:[40, 2], Operations: ['57-43=14', '28/14=2']
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[43, 28, 40, 57], Operations: []
Exploring Operation: 57-43=14, Resulting Numbers: [28, 40, 14]
Generated Node #0,0: 42:[28, 40, 14] Operation: 57-43=14
Exploring Operation: 57-28=29, Resulting Numbers: [43, 40, 29]
Generated Node #0,1: 42:[43, 40, 29] Operation: 57-28=29
Exploring Operation: 57-40=17, Resulting Numbers: [43, 28, 17]
Generated Node #0,2: 42:[43, 28, 17] Operation: 57-40=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[28, 40, 14], Operations: ['57-43=14']
Exploring Operation: 28+14=42, Resulting Numbers: [40, 42]
Generated Node #0,0,0: 42:[40, 42] Operation: 28+14=42
Exploring Operation: 40-28=12, Resulting Numbers: [14, 12]
Generated Node #0,0,1: 42:[14, 12] Operation: 40-28=12
Exploring Operation: 28-14=14, Resulting Numbers: [40, 14]
Generated Node #0,0,2: 42:[40, 14] Operation: 28-14=14
Moving to Node #0,0,0
Current State: 42:[40, 42], Operations: ['57-43=14', '28+14=42']
Exploring Operation: 42-40=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 40*42=1680, Resulting Numbers: [1680]
1680,42 unequal: No Solution
Exploring Operation: 40+42=82, Resulting Numbers: [82]
82,42 unequal: No Solution
Moving to Node #0,0,1
Current State: 42:[14, 12], Operations: ['57-43=14', '40-28=12']
Exploring Operation: 14*12=168, Resulting Numbers: [168]
168,42 unequal: No Solution
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Moving to Node #0,0,2
Current State: 42:[40, 14], Operations: ['57-43=14', '28-14=14']
Exploring Operation: 40*14=560, Resulting Numbers: [560]
560,42 unequal: No Solution
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 40+14=54, Resulting Numbers: [54]
54,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[43, 40, 29], Operations: ['57-28=29']
Exploring Operation: 43-40=3, Resulting Numbers: [29, 3]
Generated Node #0,1,0: 42:[29, 3] Operation: 43-40=3
Exploring Operation: 40-29=11, Resulting Numbers: [43, 11]
Generated Node #0,1,1: 42:[43, 11] Operation: 40-29=11
Exploring Operation: 43-29=14, Resulting Numbers: [40, 14]
Generated Node #0,1,2: 42:[40, 14] Operation: 43-29=14
Moving to Node #0,1,2
Current State: 42:[40, 14], Operations: ['57-28=29', '43-29=14']
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 40+14=54, Resulting Numbers: [54]
54,42 unequal: No Solution
Exploring Operation: 40*14=560, Resulting Numbers: [560]
560,42 unequal: No Solution
Moving to Node #0,1,1
Current State: 42:[43, 11], Operations: ['57-28=29', '40-29=11']
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,42 unequal: No Solution
Exploring Operation: 43*11=473, Resulting Numbers: [473]
473,42 unequal: No Solution
Exploring Operation: 43+11=54, Resulting Numbers: [54]
54,42 unequal: No Solution
Moving to Node #0,1,0
Current State: 42:[29, 3], Operations: ['57-28=29', '43-40=3']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,42 unequal: No Solution
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 42:[43, 28, 17], Operations: ['57-40=17']
Exploring Operation: 28-17=11, Resulting Numbers: [43, 11]
Generated Node #0,2,0: 42:[43, 11] Operation: 28-17=11
Exploring Operation: 28+17=45, Resulting Numbers: [43, 45]
Generated Node #0,2,1: 42:[43, 45] Operation: 28+17=45
Exploring Operation: 43-28=15, Resulting Numbers: [17, 15]
Generated Node #0,2,2: 42:[17, 15] Operation: 43-28=15
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 42:[43, 11], Operations: ['57-40=17', '28-17=11']
Exploring Operation: 43*11=473, Resulting Numbers: [473]
473,42 unequal: No Solution
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,42 unequal: No Solution
Exploring Operation: 43+11=54, Resulting Numbers: [54]
54,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 42:[43, 45], Operations: ['57-40=17', '28+17=45']
Exploring Operation: 43*45=1935, Resulting Numbers: [1935]
1935,42 unequal: No Solution
Exploring Operation: 43+45=88, Resulting Numbers: [88]
88,42 unequal: No Solution
Exploring Operation: 45-43=2, Resulting Numbers: [2]
2,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 42:[17, 15], Operations: ['57-40=17', '43-28=15']
Exploring Operation: 17-15=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 17*15=255, Resulting Numbers: [255]
255,42 unequal: No Solution
Exploring Operation: 17+15=32, Resulting Numbers: [32]
32,42 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
44,
18,
3,
20
] | 39 | [
"44+18=62",
"3+20=23",
"62-23=39"
] | Current State: 39:[44, 18, 3, 20], Operations: []
Exploring Operation: 44+18=62, Resulting Numbers: [3, 20, 62]
Generated Node #2: [3, 20, 62] from Operation: 44+18=62
Current State: 39:[3, 20, 62], Operations: ['44+18=62']
Exploring Operation: 3+20=23, Resulting Numbers: [62, 23]
Generated Node #3: [62, 23] from Operation: 3+20=23
Current State: 39:[62, 23], Operations: ['44+18=62', '3+20=23']
Exploring Operation: 62-23=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[44, 18, 3, 20], Operations: []
Exploring Operation: 44-3=41, Resulting Numbers: [18, 20, 41]
Generated Node #0,0: 39:[18, 20, 41] Operation: 44-3=41
Exploring Operation: 20-18=2, Resulting Numbers: [44, 3, 2]
Generated Node #0,1: 39:[44, 3, 2] Operation: 20-18=2
Exploring Operation: 18+20=38, Resulting Numbers: [44, 3, 38]
Generated Node #0,2: 39:[44, 3, 38] Operation: 18+20=38
Exploring Operation: 18-3=15, Resulting Numbers: [44, 20, 15]
Generated Node #0,3: 39:[44, 20, 15] Operation: 18-3=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[44, 3, 2], Operations: ['20-18=2']
Exploring Operation: 44-2=42, Resulting Numbers: [3, 42]
Generated Node #0,1,0: 39:[3, 42] Operation: 44-2=42
Exploring Operation: 3+2=5, Resulting Numbers: [44, 5]
Generated Node #0,1,1: 39:[44, 5] Operation: 3+2=5
Exploring Operation: 44+2=46, Resulting Numbers: [3, 46]
Generated Node #0,1,2: 39:[3, 46] Operation: 44+2=46
Exploring Operation: 44-3=41, Resulting Numbers: [2, 41]
Generated Node #0,1,3: 39:[2, 41] Operation: 44-3=41
Moving to Node #0,1,0
Current State: 39:[3, 42], Operations: ['20-18=2', '44-2=42']
Exploring Operation: 3*42=126, Resulting Numbers: [126]
126,39 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[44, 18, 3, 20], Operations: []
Exploring Operation: 20-18=2, Resulting Numbers: [44, 3, 2]
Generated Node #0,1: 39:[44, 3, 2] Operation: 20-18=2
Moving to Node #0,1
Current State: 39:[44, 3, 2], Operations: ['20-18=2']
Exploring Operation: 44-2=42, Resulting Numbers: [3, 42]
Generated Node #0,1,0: 39:[3, 42] Operation: 44-2=42
Moving to Node #0,1,0
Current State: 39:[3, 42], Operations: ['20-18=2', '44-2=42']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
74,
51,
54,
15
] | 81 | [
"51+54=105",
"105/15=7",
"74+7=81"
] | Current State: 81:[74, 51, 54, 15], Operations: []
Exploring Operation: 51+54=105, Resulting Numbers: [74, 15, 105]
Generated Node #2: [74, 15, 105] from Operation: 51+54=105
Current State: 81:[74, 15, 105], Operations: ['51+54=105']
Exploring Operation: 105/15=7, Resulting Numbers: [74, 7]
Generated Node #3: [74, 7] from Operation: 105/15=7
Current State: 81:[74, 7], Operations: ['51+54=105', '105/15=7']
Exploring Operation: 74+7=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[74, 51, 54, 15], Operations: []
Exploring Operation: 54-51=3, Resulting Numbers: [74, 15, 3]
Generated Node #0,0: 81:[74, 15, 3] Operation: 54-51=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[74, 15, 3], Operations: ['54-51=3']
Exploring Operation: 74+15=89, Resulting Numbers: [3, 89]
Generated Node #0,0,0: 81:[3, 89] Operation: 74+15=89
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[3, 89], Operations: ['54-51=3', '74+15=89']
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,81 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 |
[
66,
68,
16,
56
] | 38 | [
"68-66=2",
"56-16=40",
"40-2=38"
] | Current State: 38:[66, 68, 16, 56], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [16, 56, 2]
Generated Node #2: [16, 56, 2] from Operation: 68-66=2
Current State: 38:[16, 56, 2], Operations: ['68-66=2']
Exploring Operation: 56-16=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 56-16=40
Current State: 38:[2, 40], Operations: ['68-66=2', '56-16=40']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[66, 68, 16, 56], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [16, 56, 2]
Generated Node #0,0: 38:[16, 56, 2] Operation: 68-66=2
Exploring Operation: 66-16=50, Resulting Numbers: [68, 56, 50]
Generated Node #0,1: 38:[68, 56, 50] Operation: 66-16=50
Exploring Operation: 66-56=10, Resulting Numbers: [68, 16, 10]
Generated Node #0,2: 38:[68, 16, 10] Operation: 66-56=10
Exploring Operation: 68-56=12, Resulting Numbers: [66, 16, 12]
Generated Node #0,3: 38:[66, 16, 12] Operation: 68-56=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[16, 56, 2], Operations: ['68-66=2']
Exploring Operation: 56-2=54, Resulting Numbers: [16, 54]
Generated Node #0,0,0: 38:[16, 54] Operation: 56-2=54
Exploring Operation: 16+2=18, Resulting Numbers: [56, 18]
Generated Node #0,0,1: 38:[56, 18] Operation: 16+2=18
Exploring Operation: 56-16=40, Resulting Numbers: [2, 40]
Generated Node #0,0,2: 38:[2, 40] Operation: 56-16=40
Exploring Operation: 56/2=28, Resulting Numbers: [16, 28]
Generated Node #0,0,3: 38:[16, 28] Operation: 56/2=28
Moving to Node #0,0,2
Current State: 38:[2, 40], Operations: ['68-66=2', '56-16=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,38 unequal: No Solution
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,38 unequal: No Solution
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[66, 68, 16, 56], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [16, 56, 2]
Generated Node #0,0: 38:[16, 56, 2] Operation: 68-66=2
Moving to Node #0,0
Current State: 38:[16, 56, 2], Operations: ['68-66=2']
Exploring Operation: 56-16=40, Resulting Numbers: [2, 40]
Generated Node #0,0,2: 38:[2, 40] Operation: 56-16=40
Moving to Node #0,0,2
Current State: 38:[2, 40], Operations: ['68-66=2', '56-16=40']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
15,
21,
87,
6
] | 33 | [
"87-15=72",
"72/6=12",
"21+12=33"
] | Current State: 33:[15, 21, 87, 6], Operations: []
Exploring Operation: 87-15=72, Resulting Numbers: [21, 6, 72]
Generated Node #2: [21, 6, 72] from Operation: 87-15=72
Current State: 33:[21, 6, 72], Operations: ['87-15=72']
Exploring Operation: 72/6=12, Resulting Numbers: [21, 12]
Generated Node #3: [21, 12] from Operation: 72/6=12
Current State: 33:[21, 12], Operations: ['87-15=72', '72/6=12']
Exploring Operation: 21+12=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[15, 21, 87, 6], Operations: []
Exploring Operation: 87-21=66, Resulting Numbers: [15, 6, 66]
Generated Node #0,0: 33:[15, 6, 66] Operation: 87-21=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[15, 6, 66], Operations: ['87-21=66']
Exploring Operation: 66/6=11, Resulting Numbers: [15, 11]
Generated Node #0,0,0: 33:[15, 11] Operation: 66/6=11
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 33:[15, 11], Operations: ['87-21=66', '66/6=11']
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
7,
90,
89,
72
] | 12 | [
"90-7=83",
"89-83=6",
"72/6=12"
] | Current State: 12:[7, 90, 89, 72], Operations: []
Exploring Operation: 90-7=83, Resulting Numbers: [89, 72, 83]
Generated Node #2: [89, 72, 83] from Operation: 90-7=83
Current State: 12:[89, 72, 83], Operations: ['90-7=83']
Exploring Operation: 89-83=6, Resulting Numbers: [72, 6]
Generated Node #3: [72, 6] from Operation: 89-83=6
Current State: 12:[72, 6], Operations: ['90-7=83', '89-83=6']
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[7, 90, 89, 72], Operations: []
Exploring Operation: 90-89=1, Resulting Numbers: [7, 72, 1]
Generated Node #0,0: 12:[7, 72, 1] Operation: 90-89=1
Exploring Operation: 90-72=18, Resulting Numbers: [7, 89, 18]
Generated Node #0,1: 12:[7, 89, 18] Operation: 90-72=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[7, 72, 1], Operations: ['90-89=1']
Exploring Operation: 7-1=6, Resulting Numbers: [72, 6]
Generated Node #0,0,0: 12:[72, 6] Operation: 7-1=6
Exploring Operation: 72-7=65, Resulting Numbers: [1, 65]
Generated Node #0,0,1: 12:[1, 65] Operation: 72-7=65
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 12:[1, 65], Operations: ['90-89=1', '72-7=65']
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,12 unequal: No Solution
Exploring Operation: 1*65=65, Resulting Numbers: [65]
65,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 12:[72, 6], Operations: ['90-89=1', '7-1=6']
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,12 unequal: No Solution
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[7, 90, 89, 72], Operations: []
Exploring Operation: 90-89=1, Resulting Numbers: [7, 72, 1]
Generated Node #0,0: 12:[7, 72, 1] Operation: 90-89=1
Moving to Node #0,0
Current State: 12:[7, 72, 1], Operations: ['90-89=1']
Exploring Operation: 7-1=6, Resulting Numbers: [72, 6]
Generated Node #0,0,0: 12:[72, 6] Operation: 7-1=6
Moving to Node #0,0,0
Current State: 12:[72, 6], Operations: ['90-89=1', '7-1=6']
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
8,
32,
72,
12
] | 53 | [
"72/8=9",
"32+12=44",
"9+44=53"
] | Current State: 53:[8, 32, 72, 12], Operations: []
Exploring Operation: 72/8=9, Resulting Numbers: [32, 12, 9]
Generated Node #2: [32, 12, 9] from Operation: 72/8=9
Current State: 53:[32, 12, 9], Operations: ['72/8=9']
Exploring Operation: 32+12=44, Resulting Numbers: [9, 44]
Generated Node #3: [9, 44] from Operation: 32+12=44
Current State: 53:[9, 44], Operations: ['72/8=9', '32+12=44']
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[8, 32, 72, 12], Operations: []
Exploring Operation: 72-8=64, Resulting Numbers: [32, 12, 64]
Generated Node #0,0: 53:[32, 12, 64] Operation: 72-8=64
Exploring Operation: 8+32=40, Resulting Numbers: [72, 12, 40]
Generated Node #0,1: 53:[72, 12, 40] Operation: 8+32=40
Exploring Operation: 32+12=44, Resulting Numbers: [8, 72, 44]
Generated Node #0,2: 53:[8, 72, 44] Operation: 32+12=44
Exploring Operation: 8+12=20, Resulting Numbers: [32, 72, 20]
Generated Node #0,3: 53:[32, 72, 20] Operation: 8+12=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[32, 12, 64], Operations: ['72-8=64']
Exploring Operation: 32-12=20, Resulting Numbers: [64, 20]
Generated Node #0,0,0: 53:[64, 20] Operation: 32-12=20
Exploring Operation: 12+64=76, Resulting Numbers: [32, 76]
Generated Node #0,0,1: 53:[32, 76] Operation: 12+64=76
Exploring Operation: 64-12=52, Resulting Numbers: [32, 52]
Generated Node #0,0,2: 53:[32, 52] Operation: 64-12=52
Exploring Operation: 32+12=44, Resulting Numbers: [64, 44]
Generated Node #0,0,3: 53:[64, 44] Operation: 32+12=44
Moving to Node #0,0,3
Current State: 53:[64, 44], Operations: ['72-8=64', '32+12=44']
Exploring Operation: 64*44=2816, Resulting Numbers: [2816]
2816,53 unequal: No Solution
Exploring Operation: 64-44=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Exploring Operation: 64+44=108, Resulting Numbers: [108]
108,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[32, 52], Operations: ['72-8=64', '64-12=52']
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Exploring Operation: 32+52=84, Resulting Numbers: [84]
84,53 unequal: No Solution
Exploring Operation: 32*52=1664, Resulting Numbers: [1664]
1664,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[32, 76], Operations: ['72-8=64', '12+64=76']
Exploring Operation: 76-32=44, Resulting Numbers: [44]
44,53 unequal: No Solution
Exploring Operation: 32*76=2432, Resulting Numbers: [2432]
2432,53 unequal: No Solution
Exploring Operation: 32+76=108, Resulting Numbers: [108]
108,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[64, 20], Operations: ['72-8=64', '32-12=20']
Exploring Operation: 64*20=1280, Resulting Numbers: [1280]
1280,53 unequal: No Solution
Exploring Operation: 64+20=84, Resulting Numbers: [84]
84,53 unequal: No Solution
Exploring Operation: 64-20=44, Resulting Numbers: [44]
44,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[72, 12, 40], Operations: ['8+32=40']
Exploring Operation: 12+40=52, Resulting Numbers: [72, 52]
Generated Node #0,1,0: 53:[72, 52] Operation: 12+40=52
Exploring Operation: 40-12=28, Resulting Numbers: [72, 28]
Generated Node #0,1,1: 53:[72, 28] Operation: 40-12=28
Exploring Operation: 72+12=84, Resulting Numbers: [40, 84]
Generated Node #0,1,2: 53:[40, 84] Operation: 72+12=84
Exploring Operation: 72-12=60, Resulting Numbers: [40, 60]
Generated Node #0,1,3: 53:[40, 60] Operation: 72-12=60
Moving to Node #0,1,0
Current State: 53:[72, 52], Operations: ['8+32=40', '12+40=52']
Exploring Operation: 72-52=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Exploring Operation: 72+52=124, Resulting Numbers: [124]
124,53 unequal: No Solution
Exploring Operation: 72*52=3744, Resulting Numbers: [3744]
3744,53 unequal: No Solution
Moving to Node #0,1,3
Current State: 53:[40, 60], Operations: ['8+32=40', '72-12=60']
Exploring Operation: 40*60=2400, Resulting Numbers: [2400]
2400,53 unequal: No Solution
Exploring Operation: 40+60=100, Resulting Numbers: [100]
100,53 unequal: No Solution
Exploring Operation: 60-40=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[40, 84], Operations: ['8+32=40', '72+12=84']
Exploring Operation: 84-40=44, Resulting Numbers: [44]
44,53 unequal: No Solution
Exploring Operation: 40+84=124, Resulting Numbers: [124]
124,53 unequal: No Solution
Exploring Operation: 40*84=3360, Resulting Numbers: [3360]
3360,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[72, 28], Operations: ['8+32=40', '40-12=28']
Exploring Operation: 72+28=100, Resulting Numbers: [100]
100,53 unequal: No Solution
Exploring Operation: 72-28=44, Resulting Numbers: [44]
44,53 unequal: No Solution
Exploring Operation: 72*28=2016, Resulting Numbers: [2016]
2016,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 53:[8, 72, 44], Operations: ['32+12=44']
Exploring Operation: 8+44=52, Resulting Numbers: [72, 52]
Generated Node #0,2,0: 53:[72, 52] Operation: 8+44=52
Exploring Operation: 44-8=36, Resulting Numbers: [72, 36]
Generated Node #0,2,1: 53:[72, 36] Operation: 44-8=36
Exploring Operation: 8+72=80, Resulting Numbers: [44, 80]
Generated Node #0,2,2: 53:[44, 80] Operation: 8+72=80
Exploring Operation: 72-8=64, Resulting Numbers: [44, 64]
Generated Node #0,2,3: 53:[44, 64] Operation: 72-8=64
Moving to Node #0,2,0
Current State: 53:[72, 52], Operations: ['32+12=44', '8+44=52']
Exploring Operation: 72+52=124, Resulting Numbers: [124]
124,53 unequal: No Solution
Exploring Operation: 72-52=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Exploring Operation: 72*52=3744, Resulting Numbers: [3744]
3744,53 unequal: No Solution
Moving to Node #0,2,3
Current State: 53:[44, 64], Operations: ['32+12=44', '72-8=64']
Exploring Operation: 64-44=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Exploring Operation: 44+64=108, Resulting Numbers: [108]
108,53 unequal: No Solution
Exploring Operation: 44*64=2816, Resulting Numbers: [2816]
2816,53 unequal: No Solution
Moving to Node #0,2,2
Current State: 53:[44, 80], Operations: ['32+12=44', '8+72=80']
Exploring Operation: 44+80=124, Resulting Numbers: [124]
124,53 unequal: No Solution
Exploring Operation: 80-44=36, Resulting Numbers: [36]
36,53 unequal: No Solution
Exploring Operation: 44*80=3520, Resulting Numbers: [3520]
3520,53 unequal: No Solution
Moving to Node #0,2,1
Current State: 53:[72, 36], Operations: ['32+12=44', '44-8=36']
Exploring Operation: 72*36=2592, Resulting Numbers: [2592]
2592,53 unequal: No Solution
Exploring Operation: 72+36=108, Resulting Numbers: [108]
108,53 unequal: No Solution
Exploring Operation: 72-36=36, Resulting Numbers: [36]
36,53 unequal: No Solution
Exploring Operation: 72/36=2, Resulting Numbers: [2]
2,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 53:[32, 72, 20], Operations: ['8+12=20']
Exploring Operation: 32+20=52, Resulting Numbers: [72, 52]
Generated Node #0,3,0: 53:[72, 52] Operation: 32+20=52
Exploring Operation: 72-20=52, Resulting Numbers: [32, 52]
Generated Node #0,3,1: 53:[32, 52] Operation: 72-20=52
Exploring Operation: 32-20=12, Resulting Numbers: [72, 12]
Generated Node #0,3,2: 53:[72, 12] Operation: 32-20=12
Exploring Operation: 72-32=40, Resulting Numbers: [20, 40]
Generated Node #0,3,3: 53:[20, 40] Operation: 72-32=40
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 53:[72, 52], Operations: ['8+12=20', '32+20=52']
Exploring Operation: 72*52=3744, Resulting Numbers: [3744]
3744,53 unequal: No Solution
Exploring Operation: 72-52=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Exploring Operation: 72+52=124, Resulting Numbers: [124]
124,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 53:[32, 52], Operations: ['8+12=20', '72-20=52']
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Exploring Operation: 32*52=1664, Resulting Numbers: [1664]
1664,53 unequal: No Solution
Exploring Operation: 32+52=84, Resulting Numbers: [84]
84,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 53:[20, 40], Operations: ['8+12=20', '72-32=40']
Exploring Operation: 40-20=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Exploring Operation: 40/20=2, Resulting Numbers: [2]
2,53 unequal: No Solution
Exploring Operation: 20*40=800, Resulting Numbers: [800]
800,53 unequal: No Solution
Exploring Operation: 20+40=60, Resulting Numbers: [60]
60,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 53:[72, 12], Operations: ['8+12=20', '32-20=12']
Exploring Operation: 72*12=864, Resulting Numbers: [864]
864,53 unequal: No Solution
Exploring Operation: 72-12=60, Resulting Numbers: [60]
60,53 unequal: No Solution
Exploring Operation: 72/12=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 72+12=84, Resulting Numbers: [84]
84,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
55,
3,
70,
21
] | 39 | [
"55-3=52",
"70+21=91",
"91-52=39"
] | Current State: 39:[55, 3, 70, 21], Operations: []
Exploring Operation: 55-3=52, Resulting Numbers: [70, 21, 52]
Generated Node #2: [70, 21, 52] from Operation: 55-3=52
Current State: 39:[70, 21, 52], Operations: ['55-3=52']
Exploring Operation: 70+21=91, Resulting Numbers: [52, 91]
Generated Node #3: [52, 91] from Operation: 70+21=91
Current State: 39:[52, 91], Operations: ['55-3=52', '70+21=91']
Exploring Operation: 91-52=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[55, 3, 70, 21], Operations: []
Exploring Operation: 70-21=49, Resulting Numbers: [55, 3, 49]
Generated Node #0,0: 39:[55, 3, 49] Operation: 70-21=49
Exploring Operation: 70-55=15, Resulting Numbers: [3, 21, 15]
Generated Node #0,1: 39:[3, 21, 15] Operation: 70-55=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[3, 21, 15], Operations: ['70-55=15']
Exploring Operation: 21-15=6, Resulting Numbers: [3, 6]
Generated Node #0,1,0: 39:[3, 6] Operation: 21-15=6
Exploring Operation: 21+15=36, Resulting Numbers: [3, 36]
Generated Node #0,1,1: 39:[3, 36] Operation: 21+15=36
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 39:[3, 6], Operations: ['70-55=15', '21-15=6']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 39:[3, 36], Operations: ['70-55=15', '21+15=36']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[55, 3, 70, 21], Operations: []
Exploring Operation: 70-55=15, Resulting Numbers: [3, 21, 15]
Generated Node #0,1: 39:[3, 21, 15] Operation: 70-55=15
Moving to Node #0,1
Current State: 39:[3, 21, 15], Operations: ['70-55=15']
Exploring Operation: 21+15=36, Resulting Numbers: [3, 36]
Generated Node #0,1,1: 39:[3, 36] Operation: 21+15=36
Moving to Node #0,1,1
Current State: 39:[3, 36], Operations: ['70-55=15', '21+15=36']
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
8,
8,
44,
62
] | 90 | [
"8+8=16",
"44+62=106",
"106-16=90"
] | Current State: 90:[8, 8, 44, 62], Operations: []
Exploring Operation: 8+8=16, Resulting Numbers: [44, 62, 16]
Generated Node #2: [44, 62, 16] from Operation: 8+8=16
Current State: 90:[44, 62, 16], Operations: ['8+8=16']
Exploring Operation: 44+62=106, Resulting Numbers: [16, 106]
Generated Node #3: [16, 106] from Operation: 44+62=106
Current State: 90:[16, 106], Operations: ['8+8=16', '44+62=106']
Exploring Operation: 106-16=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[8, 8, 44, 62], Operations: []
Exploring Operation: 62-8=54, Resulting Numbers: [8, 44, 54]
Generated Node #0,0: 90:[8, 44, 54] Operation: 62-8=54
Exploring Operation: 62-44=18, Resulting Numbers: [8, 8, 18]
Generated Node #0,1: 90:[8, 8, 18] Operation: 62-44=18
Exploring Operation: 62-8=54, Resulting Numbers: [8, 44, 54]
Generated Node #0,2: 90:[8, 44, 54] Operation: 62-8=54
Exploring Operation: 44+62=106, Resulting Numbers: [8, 8, 106]
Generated Node #0,3: 90:[8, 8, 106] Operation: 44+62=106
Moving to Node #0,1
Current State: 90:[8, 8, 18], Operations: ['62-44=18']
Exploring Operation: 8+8=16, Resulting Numbers: [18, 16]
Generated Node #0,1,0: 90:[18, 16] Operation: 8+8=16
Exploring Operation: 18-8=10, Resulting Numbers: [8, 10]
Generated Node #0,1,1: 90:[8, 10] Operation: 18-8=10
Exploring Operation: 18-8=10, Resulting Numbers: [8, 10]
Generated Node #0,1,2: 90:[8, 10] Operation: 18-8=10
Exploring Operation: 8/8=1, Resulting Numbers: [18, 1]
Generated Node #0,1,3: 90:[18, 1] Operation: 8/8=1
Moving to Node #0,2
Current State: 90:[8, 44, 54], Operations: ['62-8=54']
Exploring Operation: 54-44=10, Resulting Numbers: [8, 10]
Generated Node #0,2,0: 90:[8, 10] Operation: 54-44=10
Exploring Operation: 44-8=36, Resulting Numbers: [54, 36]
Generated Node #0,2,1: 90:[54, 36] Operation: 44-8=36
Exploring Operation: 44+54=98, Resulting Numbers: [8, 98]
Generated Node #0,2,2: 90:[8, 98] Operation: 44+54=98
Exploring Operation: 54-8=46, Resulting Numbers: [44, 46]
Generated Node #0,2,3: 90:[44, 46] Operation: 54-8=46
Moving to Node #0,0
Current State: 90:[8, 44, 54], Operations: ['62-8=54']
Exploring Operation: 44+54=98, Resulting Numbers: [8, 98]
Generated Node #0,0,0: 90:[8, 98] Operation: 44+54=98
Exploring Operation: 44-8=36, Resulting Numbers: [54, 36]
Generated Node #0,0,1: 90:[54, 36] Operation: 44-8=36
Exploring Operation: 54-8=46, Resulting Numbers: [44, 46]
Generated Node #0,0,2: 90:[44, 46] Operation: 54-8=46
Exploring Operation: 54-44=10, Resulting Numbers: [8, 10]
Generated Node #0,0,3: 90:[8, 10] Operation: 54-44=10
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 90:[8, 10], Operations: ['62-8=54', '54-44=10']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,90 unequal: No Solution
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 90:[44, 46], Operations: ['62-8=54', '54-8=46']
Exploring Operation: 44*46=2024, Resulting Numbers: [2024]
2024,90 unequal: No Solution
Exploring Operation: 46-44=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 44+46=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[8, 8, 44, 62], Operations: []
Exploring Operation: 62-8=54, Resulting Numbers: [8, 44, 54]
Generated Node #0,0: 90:[8, 44, 54] Operation: 62-8=54
Moving to Node #0,0
Current State: 90:[8, 44, 54], Operations: ['62-8=54']
Exploring Operation: 54-8=46, Resulting Numbers: [44, 46]
Generated Node #0,0,2: 90:[44, 46] Operation: 54-8=46
Moving to Node #0,0,2
Current State: 90:[44, 46], Operations: ['62-8=54', '54-8=46']
Exploring Operation: 44+46=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_4 | sum_heuristic |
[
54,
79,
50,
85
] | 10 | [
"79-54=25",
"85-50=35",
"35-25=10"
] | Current State: 10:[54, 79, 50, 85], Operations: []
Exploring Operation: 79-54=25, Resulting Numbers: [50, 85, 25]
Generated Node #2: [50, 85, 25] from Operation: 79-54=25
Current State: 10:[50, 85, 25], Operations: ['79-54=25']
Exploring Operation: 85-50=35, Resulting Numbers: [25, 35]
Generated Node #3: [25, 35] from Operation: 85-50=35
Current State: 10:[25, 35], Operations: ['79-54=25', '85-50=35']
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[54, 79, 50, 85], Operations: []
Exploring Operation: 85-79=6, Resulting Numbers: [54, 50, 6]
Generated Node #0,0: 10:[54, 50, 6] Operation: 85-79=6
Moving to Node #0,0
Current State: 10:[54, 50, 6], Operations: ['85-79=6']
Exploring Operation: 54-50=4, Resulting Numbers: [6, 4]
Generated Node #0,0,0: 10:[6, 4] Operation: 54-50=4
Moving to Node #0,0,0
Current State: 10:[6, 4], Operations: ['85-79=6', '54-50=4']
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[54, 79, 50, 85], Operations: []
Exploring Operation: 85-79=6, Resulting Numbers: [54, 50, 6]
Generated Node #0,0: 10:[54, 50, 6] Operation: 85-79=6
Moving to Node #0,0
Current State: 10:[54, 50, 6], Operations: ['85-79=6']
Exploring Operation: 54-50=4, Resulting Numbers: [6, 4]
Generated Node #0,0,0: 10:[6, 4] Operation: 54-50=4
Moving to Node #0,0,0
Current State: 10:[6, 4], Operations: ['85-79=6', '54-50=4']
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
18,
41,
78,
21
] | 80 | [
"41-18=23",
"78-21=57",
"23+57=80"
] | Current State: 80:[18, 41, 78, 21], Operations: []
Exploring Operation: 41-18=23, Resulting Numbers: [78, 21, 23]
Generated Node #2: [78, 21, 23] from Operation: 41-18=23
Current State: 80:[78, 21, 23], Operations: ['41-18=23']
Exploring Operation: 78-21=57, Resulting Numbers: [23, 57]
Generated Node #3: [23, 57] from Operation: 78-21=57
Current State: 80:[23, 57], Operations: ['41-18=23', '78-21=57']
Exploring Operation: 23+57=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[18, 41, 78, 21], Operations: []
Exploring Operation: 41-21=20, Resulting Numbers: [18, 78, 20]
Generated Node #0,0: 80:[18, 78, 20] Operation: 41-21=20
Exploring Operation: 18+21=39, Resulting Numbers: [41, 78, 39]
Generated Node #0,1: 80:[41, 78, 39] Operation: 18+21=39
Exploring Operation: 21-18=3, Resulting Numbers: [41, 78, 3]
Generated Node #0,2: 80:[41, 78, 3] Operation: 21-18=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[18, 78, 20], Operations: ['41-21=20']
Exploring Operation: 20-18=2, Resulting Numbers: [78, 2]
Generated Node #0,0,0: 80:[78, 2] Operation: 20-18=2
Exploring Operation: 18+78=96, Resulting Numbers: [20, 96]
Generated Node #0,0,1: 80:[20, 96] Operation: 18+78=96
Exploring Operation: 18+20=38, Resulting Numbers: [78, 38]
Generated Node #0,0,2: 80:[78, 38] Operation: 18+20=38
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 80:[78, 2], Operations: ['41-21=20', '20-18=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[18, 41, 78, 21], Operations: []
Exploring Operation: 41-21=20, Resulting Numbers: [18, 78, 20]
Generated Node #0,0: 80:[18, 78, 20] Operation: 41-21=20
Moving to Node #0,0
Current State: 80:[18, 78, 20], Operations: ['41-21=20']
Exploring Operation: 20-18=2, Resulting Numbers: [78, 2]
Generated Node #0,0,0: 80:[78, 2] Operation: 20-18=2
Moving to Node #0,0,0
Current State: 80:[78, 2], Operations: ['41-21=20', '20-18=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
58,
18,
3,
13
] | 29 | [
"18-3=15",
"15-13=2",
"58/2=29"
] | Current State: 29:[58, 18, 3, 13], Operations: []
Exploring Operation: 18-3=15, Resulting Numbers: [58, 13, 15]
Generated Node #2: [58, 13, 15] from Operation: 18-3=15
Current State: 29:[58, 13, 15], Operations: ['18-3=15']
Exploring Operation: 15-13=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 15-13=2
Current State: 29:[58, 2], Operations: ['18-3=15', '15-13=2']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[58, 18, 3, 13], Operations: []
Exploring Operation: 58-3=55, Resulting Numbers: [18, 13, 55]
Generated Node #0,0: 29:[18, 13, 55] Operation: 58-3=55
Exploring Operation: 58-18=40, Resulting Numbers: [3, 13, 40]
Generated Node #0,1: 29:[3, 13, 40] Operation: 58-18=40
Exploring Operation: 3*13=39, Resulting Numbers: [58, 18, 39]
Generated Node #0,2: 29:[58, 18, 39] Operation: 3*13=39
Start Sub Search at level 1: Moving to Node #0,2
Current State: 29:[58, 18, 39], Operations: ['3*13=39']
Exploring Operation: 39-18=21, Resulting Numbers: [58, 21]
Generated Node #0,2,0: 29:[58, 21] Operation: 39-18=21
Exploring Operation: 58-18=40, Resulting Numbers: [39, 40]
Generated Node #0,2,1: 29:[39, 40] Operation: 58-18=40
Exploring Operation: 58-39=19, Resulting Numbers: [18, 19]
Generated Node #0,2,2: 29:[18, 19] Operation: 58-39=19
Moving to Node #0,2,1
Current State: 29:[39, 40], Operations: ['3*13=39', '58-18=40']
Exploring Operation: 39+40=79, Resulting Numbers: [79]
79,29 unequal: No Solution
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 39*40=1560, Resulting Numbers: [1560]
1560,29 unequal: No Solution
Moving to Node #0,2,2
Current State: 29:[18, 19], Operations: ['3*13=39', '58-39=19']
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,29 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 18*19=342, Resulting Numbers: [342]
342,29 unequal: No Solution
Moving to Node #0,2,0
Current State: 29:[58, 21], Operations: ['3*13=39', '39-18=21']
Exploring Operation: 58-21=37, Resulting Numbers: [37]
37,29 unequal: No Solution
Exploring Operation: 58+21=79, Resulting Numbers: [79]
79,29 unequal: No Solution
Exploring Operation: 58*21=1218, Resulting Numbers: [1218]
1218,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[18, 13, 55], Operations: ['58-3=55']
Exploring Operation: 18+13=31, Resulting Numbers: [55, 31]
Generated Node #0,0,0: 29:[55, 31] Operation: 18+13=31
Exploring Operation: 55-13=42, Resulting Numbers: [18, 42]
Generated Node #0,0,1: 29:[18, 42] Operation: 55-13=42
Exploring Operation: 55-18=37, Resulting Numbers: [13, 37]
Generated Node #0,0,2: 29:[13, 37] Operation: 55-18=37
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 29:[18, 42], Operations: ['58-3=55', '55-13=42']
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 18*42=756, Resulting Numbers: [756]
756,29 unequal: No Solution
Exploring Operation: 18+42=60, Resulting Numbers: [60]
60,29 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 #0,0,2
Current State: 29:[13, 37], Operations: ['58-3=55', '55-18=37']
Exploring Operation: 13*37=481, Resulting Numbers: [481]
481,29 unequal: No Solution
Exploring Operation: 13+37=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,29 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:[55, 31], Operations: ['58-3=55', '18+13=31']
Exploring Operation: 55-31=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 55+31=86, Resulting Numbers: [86]
86,29 unequal: No Solution
Exploring Operation: 55*31=1705, Resulting Numbers: [1705]
1705,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[3, 13, 40], Operations: ['58-18=40']
Exploring Operation: 40-3=37, Resulting Numbers: [13, 37]
Generated Node #0,1,0: 29:[13, 37] Operation: 40-3=37
Exploring Operation: 3+13=16, Resulting Numbers: [40, 16]
Generated Node #0,1,1: 29:[40, 16] Operation: 3+13=16
Exploring Operation: 3*13=39, Resulting Numbers: [40, 39]
Generated Node #0,1,2: 29:[40, 39] Operation: 3*13=39
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 29:[40, 39], Operations: ['58-18=40', '3*13=39']
Exploring Operation: 40*39=1560, Resulting Numbers: [1560]
1560,29 unequal: No Solution
Exploring Operation: 40+39=79, Resulting Numbers: [79]
79,29 unequal: No Solution
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 29:[13, 37], Operations: ['58-18=40', '40-3=37']
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,29 unequal: No Solution
Exploring Operation: 13*37=481, Resulting Numbers: [481]
481,29 unequal: No Solution
Exploring Operation: 13+37=50, Resulting Numbers: [50]
50,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 29:[40, 16], Operations: ['58-18=40', '3+13=16']
Exploring Operation: 40+16=56, Resulting Numbers: [56]
56,29 unequal: No Solution
Exploring Operation: 40*16=640, Resulting Numbers: [640]
640,29 unequal: No Solution
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,29 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
22,
6,
2,
92
] | 80 | [
"22*6=132",
"132-92=40",
"2*40=80"
] | Current State: 80:[22, 6, 2, 92], Operations: []
Exploring Operation: 22*6=132, Resulting Numbers: [2, 92, 132]
Generated Node #2: [2, 92, 132] from Operation: 22*6=132
Current State: 80:[2, 92, 132], Operations: ['22*6=132']
Exploring Operation: 132-92=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 132-92=40
Current State: 80:[2, 40], Operations: ['22*6=132', '132-92=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[22, 6, 2, 92], Operations: []
Exploring Operation: 92/2=46, Resulting Numbers: [22, 6, 46]
Generated Node #0,0: 80:[22, 6, 46] Operation: 92/2=46
Exploring Operation: 92-6=86, Resulting Numbers: [22, 2, 86]
Generated Node #0,1: 80:[22, 2, 86] Operation: 92-6=86
Moving to Node #0,1
Current State: 80:[22, 2, 86], Operations: ['92-6=86']
Exploring Operation: 86/2=43, Resulting Numbers: [22, 43]
Generated Node #0,1,0: 80:[22, 43] Operation: 86/2=43
Exploring Operation: 22-2=20, Resulting Numbers: [86, 20]
Generated Node #0,1,1: 80:[86, 20] Operation: 22-2=20
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 80:[22, 43], Operations: ['92-6=86', '86/2=43']
Exploring Operation: 22+43=65, Resulting Numbers: [65]
65,80 unequal: No Solution
Exploring Operation: 43-22=21, Resulting Numbers: [21]
21,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[86, 20], Operations: ['92-6=86', '22-2=20']
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,80 unequal: No Solution
Exploring Operation: 86+20=106, Resulting Numbers: [106]
106,80 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: 80:[22, 6, 46], Operations: ['92/2=46']
Exploring Operation: 46-22=24, Resulting Numbers: [6, 24]
Generated Node #0,0,0: 80:[6, 24] Operation: 46-22=24
Exploring Operation: 46-6=40, Resulting Numbers: [22, 40]
Generated Node #0,0,1: 80:[22, 40] Operation: 46-6=40
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[22, 40], Operations: ['92/2=46', '46-6=40']
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,80 unequal: No Solution
Exploring Operation: 22+40=62, Resulting Numbers: [62]
62,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[6, 24], Operations: ['92/2=46', '46-22=24']
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,80 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 |
[
1,
99,
16,
24
] | 91 | [
"1*99=99",
"24-16=8",
"99-8=91"
] | Current State: 91:[1, 99, 16, 24], Operations: []
Exploring Operation: 1*99=99, Resulting Numbers: [16, 24, 99]
Generated Node #2: [16, 24, 99] from Operation: 1*99=99
Current State: 91:[16, 24, 99], Operations: ['1*99=99']
Exploring Operation: 24-16=8, Resulting Numbers: [99, 8]
Generated Node #3: [99, 8] from Operation: 24-16=8
Current State: 91:[99, 8], Operations: ['1*99=99', '24-16=8']
Exploring Operation: 99-8=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[1, 99, 16, 24], Operations: []
Exploring Operation: 16-1=15, Resulting Numbers: [99, 24, 15]
Generated Node #0,0: 91:[99, 24, 15] Operation: 16-1=15
Exploring Operation: 99-1=98, Resulting Numbers: [16, 24, 98]
Generated Node #0,1: 91:[16, 24, 98] Operation: 99-1=98
Exploring Operation: 24-16=8, Resulting Numbers: [1, 99, 8]
Generated Node #0,2: 91:[1, 99, 8] Operation: 24-16=8
Moving to Node #0,2
Current State: 91:[1, 99, 8], Operations: ['24-16=8']
Exploring Operation: 8-1=7, Resulting Numbers: [99, 7]
Generated Node #0,2,0: 91:[99, 7] Operation: 8-1=7
Exploring Operation: 99-1=98, Resulting Numbers: [8, 98]
Generated Node #0,2,1: 91:[8, 98] Operation: 99-1=98
Exploring Operation: 99-8=91, Resulting Numbers: [1, 91]
Generated Node #0,2,2: 91:[1, 91] Operation: 99-8=91
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 91:[1, 91], Operations: ['24-16=8', '99-8=91']
Exploring Operation: 91/1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[1, 99, 16, 24], Operations: []
Exploring Operation: 24-16=8, Resulting Numbers: [1, 99, 8]
Generated Node #0,2: 91:[1, 99, 8] Operation: 24-16=8
Moving to Node #0,2
Current State: 91:[1, 99, 8], Operations: ['24-16=8']
Exploring Operation: 99-8=91, Resulting Numbers: [1, 91]
Generated Node #0,2,2: 91:[1, 91] Operation: 99-8=91
Moving to Node #0,2,2
Current State: 91:[1, 91], Operations: ['24-16=8', '99-8=91']
Exploring Operation: 91/1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
4,
75,
69,
24
] | 60 | [
"75+69=144",
"144/4=36",
"24+36=60"
] | Current State: 60:[4, 75, 69, 24], Operations: []
Exploring Operation: 75+69=144, Resulting Numbers: [4, 24, 144]
Generated Node #2: [4, 24, 144] from Operation: 75+69=144
Current State: 60:[4, 24, 144], Operations: ['75+69=144']
Exploring Operation: 144/4=36, Resulting Numbers: [24, 36]
Generated Node #3: [24, 36] from Operation: 144/4=36
Current State: 60:[24, 36], Operations: ['75+69=144', '144/4=36']
Exploring Operation: 24+36=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[4, 75, 69, 24], Operations: []
Exploring Operation: 75-69=6, Resulting Numbers: [4, 24, 6]
Generated Node #0,0: 60:[4, 24, 6] Operation: 75-69=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[4, 24, 6], Operations: ['75-69=6']
Exploring Operation: 24-4=20, Resulting Numbers: [6, 20]
Generated Node #0,0,0: 60:[6, 20] Operation: 24-4=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[6, 20], Operations: ['75-69=6', '24-4=20']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
3,
48,
47,
80
] | 82 | [
"48-3=45",
"47+80=127",
"127-45=82"
] | Current State: 82:[3, 48, 47, 80], Operations: []
Exploring Operation: 48-3=45, Resulting Numbers: [47, 80, 45]
Generated Node #2: [47, 80, 45] from Operation: 48-3=45
Current State: 82:[47, 80, 45], Operations: ['48-3=45']
Exploring Operation: 47+80=127, Resulting Numbers: [45, 127]
Generated Node #3: [45, 127] from Operation: 47+80=127
Current State: 82:[45, 127], Operations: ['48-3=45', '47+80=127']
Exploring Operation: 127-45=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[3, 48, 47, 80], Operations: []
Exploring Operation: 48-47=1, Resulting Numbers: [3, 80, 1]
Generated Node #0,0: 82:[3, 80, 1] Operation: 48-47=1
Moving to Node #0,0
Current State: 82:[3, 80, 1], Operations: ['48-47=1']
Exploring Operation: 3+80=83, Resulting Numbers: [1, 83]
Generated Node #0,0,0: 82:[1, 83] Operation: 3+80=83
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[1, 83], Operations: ['48-47=1', '3+80=83']
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[3, 48, 47, 80], Operations: []
Exploring Operation: 48-47=1, Resulting Numbers: [3, 80, 1]
Generated Node #0,0: 82:[3, 80, 1] Operation: 48-47=1
Moving to Node #0,0
Current State: 82:[3, 80, 1], Operations: ['48-47=1']
Exploring Operation: 3+80=83, Resulting Numbers: [1, 83]
Generated Node #0,0,0: 82:[1, 83] Operation: 3+80=83
Moving to Node #0,0,0
Current State: 82:[1, 83], Operations: ['48-47=1', '3+80=83']
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
60,
99,
21,
12
] | 72 | [
"99-60=39",
"21+12=33",
"39+33=72"
] | Current State: 72:[60, 99, 21, 12], Operations: []
Exploring Operation: 99-60=39, Resulting Numbers: [21, 12, 39]
Generated Node #2: [21, 12, 39] from Operation: 99-60=39
Current State: 72:[21, 12, 39], Operations: ['99-60=39']
Exploring Operation: 21+12=33, Resulting Numbers: [39, 33]
Generated Node #3: [39, 33] from Operation: 21+12=33
Current State: 72:[39, 33], Operations: ['99-60=39', '21+12=33']
Exploring Operation: 39+33=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[60, 99, 21, 12], Operations: []
Exploring Operation: 99-12=87, Resulting Numbers: [60, 21, 87]
Generated Node #0,0: 72:[60, 21, 87] Operation: 99-12=87
Exploring Operation: 99-60=39, Resulting Numbers: [21, 12, 39]
Generated Node #0,1: 72:[21, 12, 39] Operation: 99-60=39
Exploring Operation: 60+12=72, Resulting Numbers: [99, 21, 72]
Generated Node #0,2: 72:[99, 21, 72] Operation: 60+12=72
Exploring Operation: 99-21=78, Resulting Numbers: [60, 12, 78]
Generated Node #0,3: 72:[60, 12, 78] Operation: 99-21=78
Exploring Operation: 60-21=39, Resulting Numbers: [99, 12, 39]
Generated Node #0,4: 72:[99, 12, 39] Operation: 60-21=39
Moving to Node #0,1
Current State: 72:[21, 12, 39], Operations: ['99-60=39']
Exploring Operation: 39-12=27, Resulting Numbers: [21, 27]
Generated Node #0,1,0: 72:[21, 27] Operation: 39-12=27
Exploring Operation: 21+39=60, Resulting Numbers: [12, 60]
Generated Node #0,1,1: 72:[12, 60] Operation: 21+39=60
Exploring Operation: 39-21=18, Resulting Numbers: [12, 18]
Generated Node #0,1,2: 72:[12, 18] Operation: 39-21=18
Exploring Operation: 21-12=9, Resulting Numbers: [39, 9]
Generated Node #0,1,3: 72:[39, 9] Operation: 21-12=9
Exploring Operation: 21+12=33, Resulting Numbers: [39, 33]
Generated Node #0,1,4: 72:[39, 33] Operation: 21+12=33
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 72:[12, 18], Operations: ['99-60=39', '39-21=18']
Exploring Operation: 12+18=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Exploring Operation: 12*18=216, Resulting Numbers: [216]
216,72 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 #0,1,3
Current State: 72:[39, 9], Operations: ['99-60=39', '21-12=9']
Exploring Operation: 39*9=351, Resulting Numbers: [351]
351,72 unequal: No Solution
Exploring Operation: 39+9=48, Resulting Numbers: [48]
48,72 unequal: No Solution
Exploring Operation: 39-9=30, Resulting Numbers: [30]
30,72 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:[21, 27], Operations: ['99-60=39', '39-12=27']
Exploring Operation: 21*27=567, Resulting Numbers: [567]
567,72 unequal: No Solution
Exploring Operation: 27-21=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Exploring Operation: 21+27=48, Resulting Numbers: [48]
48,72 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 #0,1,4
Current State: 72:[39, 33], Operations: ['99-60=39', '21+12=33']
Exploring Operation: 39+33=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[60, 99, 21, 12], Operations: []
Exploring Operation: 99-60=39, Resulting Numbers: [21, 12, 39]
Generated Node #0,1: 72:[21, 12, 39] Operation: 99-60=39
Moving to Node #0,1
Current State: 72:[21, 12, 39], Operations: ['99-60=39']
Exploring Operation: 21+12=33, Resulting Numbers: [39, 33]
Generated Node #0,1,4: 72:[39, 33] Operation: 21+12=33
Moving to Node #0,1,4
Current State: 72:[39, 33], Operations: ['99-60=39', '21+12=33']
Exploring Operation: 39+33=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_5 | sum_heuristic |
[
22,
82,
47,
84
] | 36 | [
"84-82=2",
"22/2=11",
"47-11=36"
] | Current State: 36:[22, 82, 47, 84], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [22, 47, 2]
Generated Node #2: [22, 47, 2] from Operation: 84-82=2
Current State: 36:[22, 47, 2], Operations: ['84-82=2']
Exploring Operation: 22/2=11, Resulting Numbers: [47, 11]
Generated Node #3: [47, 11] from Operation: 22/2=11
Current State: 36:[47, 11], Operations: ['84-82=2', '22/2=11']
Exploring Operation: 47-11=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[22, 82, 47, 84], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [22, 47, 2]
Generated Node #0,0: 36:[22, 47, 2] Operation: 84-82=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[22, 47, 2], Operations: ['84-82=2']
Exploring Operation: 47-22=25, Resulting Numbers: [2, 25]
Generated Node #0,0,0: 36:[2, 25] Operation: 47-22=25
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 36:[2, 25], Operations: ['84-82=2', '47-22=25']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,36 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 |
[
60,
82,
28,
94
] | 88 | [
"82-60=22",
"94-28=66",
"22+66=88"
] | Current State: 88:[60, 82, 28, 94], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [28, 94, 22]
Generated Node #2: [28, 94, 22] from Operation: 82-60=22
Current State: 88:[28, 94, 22], Operations: ['82-60=22']
Exploring Operation: 94-28=66, Resulting Numbers: [22, 66]
Generated Node #3: [22, 66] from Operation: 94-28=66
Current State: 88:[22, 66], Operations: ['82-60=22', '94-28=66']
Exploring Operation: 22+66=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[60, 82, 28, 94], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [28, 94, 22]
Generated Node #0,0: 88:[28, 94, 22] Operation: 82-60=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[28, 94, 22], Operations: ['82-60=22']
Exploring Operation: 28-22=6, Resulting Numbers: [94, 6]
Generated Node #0,0,0: 88:[94, 6] Operation: 28-22=6
Moving to Node #0,0,0
Current State: 88:[94, 6], Operations: ['82-60=22', '28-22=6']
Exploring Operation: 94-6=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[60, 82, 28, 94], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [28, 94, 22]
Generated Node #0,0: 88:[28, 94, 22] Operation: 82-60=22
Moving to Node #0,0
Current State: 88:[28, 94, 22], Operations: ['82-60=22']
Exploring Operation: 28-22=6, Resulting Numbers: [94, 6]
Generated Node #0,0,0: 88:[94, 6] Operation: 28-22=6
Moving to Node #0,0,0
Current State: 88:[94, 6], Operations: ['82-60=22', '28-22=6']
Exploring Operation: 94-6=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
23,
45,
2,
8
] | 75 | [
"23-8=15",
"45*2=90",
"90-15=75"
] | Current State: 75:[23, 45, 2, 8], Operations: []
Exploring Operation: 23-8=15, Resulting Numbers: [45, 2, 15]
Generated Node #2: [45, 2, 15] from Operation: 23-8=15
Current State: 75:[45, 2, 15], Operations: ['23-8=15']
Exploring Operation: 45*2=90, Resulting Numbers: [15, 90]
Generated Node #3: [15, 90] from Operation: 45*2=90
Current State: 75:[15, 90], Operations: ['23-8=15', '45*2=90']
Exploring Operation: 90-15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[23, 45, 2, 8], Operations: []
Exploring Operation: 45*2=90, Resulting Numbers: [23, 8, 90]
Generated Node #0,0: 75:[23, 8, 90] Operation: 45*2=90
Exploring Operation: 45-23=22, Resulting Numbers: [2, 8, 22]
Generated Node #0,1: 75:[2, 8, 22] Operation: 45-23=22
Exploring Operation: 45-8=37, Resulting Numbers: [23, 2, 37]
Generated Node #0,2: 75:[23, 2, 37] Operation: 45-8=37
Exploring Operation: 23+45=68, Resulting Numbers: [2, 8, 68]
Generated Node #0,3: 75:[2, 8, 68] Operation: 23+45=68
Exploring Operation: 23-8=15, Resulting Numbers: [45, 2, 15]
Generated Node #0,4: 75:[45, 2, 15] Operation: 23-8=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[2, 8, 22], Operations: ['45-23=22']
Exploring Operation: 22-8=14, Resulting Numbers: [2, 14]
Generated Node #0,1,0: 75:[2, 14] Operation: 22-8=14
Exploring Operation: 2+22=24, Resulting Numbers: [8, 24]
Generated Node #0,1,1: 75:[8, 24] Operation: 2+22=24
Exploring Operation: 2*8=16, Resulting Numbers: [22, 16]
Generated Node #0,1,2: 75:[22, 16] Operation: 2*8=16
Exploring Operation: 8/2=4, Resulting Numbers: [22, 4]
Generated Node #0,1,3: 75:[22, 4] Operation: 8/2=4
Exploring Operation: 8-2=6, Resulting Numbers: [22, 6]
Generated Node #0,1,4: 75:[22, 6] Operation: 8-2=6
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 75:[2, 14], Operations: ['45-23=22', '22-8=14']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 14/2=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 #0,1,1
Current State: 75:[8, 24], Operations: ['45-23=22', '2+22=24']
Exploring Operation: 8*24=192, Resulting Numbers: [192]
192,75 unequal: No Solution
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 8+24=32, Resulting Numbers: [32]
32,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 75:[22, 16], Operations: ['45-23=22', '2*8=16']
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,75 unequal: No Solution
Exploring Operation: 22*16=352, Resulting Numbers: [352]
352,75 unequal: No Solution
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 75:[22, 4], Operations: ['45-23=22', '8/2=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,75 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 75:[22, 6], Operations: ['45-23=22', '8-2=6']
Exploring Operation: 22+6=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 22*6=132, Resulting Numbers: [132]
132,75 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 #0,3
Current State: 75:[2, 8, 68], Operations: ['23+45=68']
Exploring Operation: 2+68=70, Resulting Numbers: [8, 70]
Generated Node #0,3,0: 75:[8, 70] Operation: 2+68=70
Exploring Operation: 8-2=6, Resulting Numbers: [68, 6]
Generated Node #0,3,1: 75:[68, 6] Operation: 8-2=6
Exploring Operation: 2*8=16, Resulting Numbers: [68, 16]
Generated Node #0,3,2: 75:[68, 16] Operation: 2*8=16
Exploring Operation: 8/2=4, Resulting Numbers: [68, 4]
Generated Node #0,3,3: 75:[68, 4] Operation: 8/2=4
Exploring Operation: 8+68=76, Resulting Numbers: [2, 76]
Generated Node #0,3,4: 75:[2, 76] Operation: 8+68=76
Moving to Node #0,3,4
Current State: 75:[2, 76], Operations: ['23+45=68', '8+68=76']
Exploring Operation: 2*76=152, Resulting Numbers: [152]
152,75 unequal: No Solution
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,75 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,75 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,3,1
Current State: 75:[68, 6], Operations: ['23+45=68', '8-2=6']
Exploring Operation: 68+6=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Exploring Operation: 68*6=408, Resulting Numbers: [408]
408,75 unequal: No Solution
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,75 unequal: No Solution
Moving to Node #0,3,3
Current State: 75:[68, 4], Operations: ['23+45=68', '8/2=4']
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,75 unequal: No Solution
Exploring Operation: 68+4=72, Resulting Numbers: [72]
72,75 unequal: No Solution
Exploring Operation: 68-4=64, Resulting Numbers: [64]
64,75 unequal: No Solution
Exploring Operation: 68*4=272, Resulting Numbers: [272]
272,75 unequal: No Solution
Moving to Node #0,3,0
Current State: 75:[8, 70], Operations: ['23+45=68', '2+68=70']
Exploring Operation: 8+70=78, Resulting Numbers: [78]
78,75 unequal: No Solution
Exploring Operation: 8*70=560, Resulting Numbers: [560]
560,75 unequal: No Solution
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,75 unequal: No Solution
Moving to Node #0,3,2
Current State: 75:[68, 16], Operations: ['23+45=68', '2*8=16']
Exploring Operation: 68*16=1088, Resulting Numbers: [1088]
1088,75 unequal: No Solution
Exploring Operation: 68-16=52, Resulting Numbers: [52]
52,75 unequal: No Solution
Exploring Operation: 68+16=84, Resulting Numbers: [84]
84,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[23, 2, 37], Operations: ['45-8=37']
Exploring Operation: 37-23=14, Resulting Numbers: [2, 14]
Generated Node #0,2,0: 75:[2, 14] Operation: 37-23=14
Exploring Operation: 37-2=35, Resulting Numbers: [23, 35]
Generated Node #0,2,1: 75:[23, 35] Operation: 37-2=35
Exploring Operation: 23+2=25, Resulting Numbers: [37, 25]
Generated Node #0,2,2: 75:[37, 25] Operation: 23+2=25
Exploring Operation: 23-2=21, Resulting Numbers: [37, 21]
Generated Node #0,2,3: 75:[37, 21] Operation: 23-2=21
Exploring Operation: 2*37=74, Resulting Numbers: [23, 74]
Generated Node #0,2,4: 75:[23, 74] Operation: 2*37=74
Moving to Node #0,2,0
Current State: 75:[2, 14], Operations: ['45-8=37', '37-23=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,75 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Moving to Node #0,2,4
Current State: 75:[23, 74], Operations: ['45-8=37', '2*37=74']
Exploring Operation: 74-23=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Exploring Operation: 23*74=1702, Resulting Numbers: [1702]
1702,75 unequal: No Solution
Exploring Operation: 23+74=97, Resulting Numbers: [97]
97,75 unequal: No Solution
Moving to Node #0,2,1
Current State: 75:[23, 35], Operations: ['45-8=37', '37-2=35']
Exploring Operation: 35-23=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 23+35=58, Resulting Numbers: [58]
58,75 unequal: No Solution
Exploring Operation: 23*35=805, Resulting Numbers: [805]
805,75 unequal: No Solution
Moving to Node #0,2,2
Current State: 75:[37, 25], Operations: ['45-8=37', '23+2=25']
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,75 unequal: No Solution
Exploring Operation: 37+25=62, Resulting Numbers: [62]
62,75 unequal: No Solution
Exploring Operation: 37*25=925, Resulting Numbers: [925]
925,75 unequal: No Solution
Moving to Node #0,2,3
Current State: 75:[37, 21], Operations: ['45-8=37', '23-2=21']
Exploring Operation: 37*21=777, Resulting Numbers: [777]
777,75 unequal: No Solution
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 37+21=58, Resulting Numbers: [58]
58,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[23, 8, 90], Operations: ['45*2=90']
Exploring Operation: 90-8=82, Resulting Numbers: [23, 82]
Generated Node #0,0,0: 75:[23, 82] Operation: 90-8=82
Exploring Operation: 23-8=15, Resulting Numbers: [90, 15]
Generated Node #0,0,1: 75:[90, 15] Operation: 23-8=15
Exploring Operation: 23+8=31, Resulting Numbers: [90, 31]
Generated Node #0,0,2: 75:[90, 31] Operation: 23+8=31
Exploring Operation: 90-23=67, Resulting Numbers: [8, 67]
Generated Node #0,0,3: 75:[8, 67] Operation: 90-23=67
Exploring Operation: 8+90=98, Resulting Numbers: [23, 98]
Generated Node #0,0,4: 75:[23, 98] Operation: 8+90=98
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[23, 82], Operations: ['45*2=90', '90-8=82']
Exploring Operation: 82-23=59, Resulting Numbers: [59]
59,75 unequal: No Solution
Exploring Operation: 23+82=105, Resulting Numbers: [105]
105,75 unequal: No Solution
Exploring Operation: 23*82=1886, Resulting Numbers: [1886]
1886,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 75:[8, 67], Operations: ['45*2=90', '90-23=67']
Exploring Operation: 8*67=536, Resulting Numbers: [536]
536,75 unequal: No Solution
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,75 unequal: No Solution
Exploring Operation: 8+67=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[23, 45, 2, 8], Operations: []
Exploring Operation: 45*2=90, Resulting Numbers: [23, 8, 90]
Generated Node #0,0: 75:[23, 8, 90] Operation: 45*2=90
Moving to Node #0,0
Current State: 75:[23, 8, 90], Operations: ['45*2=90']
Exploring Operation: 90-23=67, Resulting Numbers: [8, 67]
Generated Node #0,0,3: 75:[8, 67] Operation: 90-23=67
Moving to Node #0,0,3
Current State: 75:[8, 67], Operations: ['45*2=90', '90-23=67']
Exploring Operation: 8+67=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.926215 | hs_5 | mult_heuristic |
[
61,
11,
4,
80
] | 32 | [
"61+11=72",
"80-72=8",
"4*8=32"
] | Current State: 32:[61, 11, 4, 80], Operations: []
Exploring Operation: 61+11=72, Resulting Numbers: [4, 80, 72]
Generated Node #2: [4, 80, 72] from Operation: 61+11=72
Current State: 32:[4, 80, 72], Operations: ['61+11=72']
Exploring Operation: 80-72=8, Resulting Numbers: [4, 8]
Generated Node #3: [4, 8] from Operation: 80-72=8
Current State: 32:[4, 8], Operations: ['61+11=72', '80-72=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[61, 11, 4, 80], Operations: []
Exploring Operation: 80-61=19, Resulting Numbers: [11, 4, 19]
Generated Node #0,0: 32:[11, 4, 19] Operation: 80-61=19
Moving to Node #0,0
Current State: 32:[11, 4, 19], Operations: ['80-61=19']
Exploring Operation: 19-11=8, Resulting Numbers: [4, 8]
Generated Node #0,0,0: 32:[4, 8] Operation: 19-11=8
Moving to Node #0,0,0
Current State: 32:[4, 8], Operations: ['80-61=19', '19-11=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[61, 11, 4, 80], Operations: []
Exploring Operation: 80-61=19, Resulting Numbers: [11, 4, 19]
Generated Node #0,0: 32:[11, 4, 19] Operation: 80-61=19
Moving to Node #0,0
Current State: 32:[11, 4, 19], Operations: ['80-61=19']
Exploring Operation: 19-11=8, Resulting Numbers: [4, 8]
Generated Node #0,0,0: 32:[4, 8] Operation: 19-11=8
Moving to Node #0,0,0
Current State: 32:[4, 8], Operations: ['80-61=19', '19-11=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
38,
4,
32,
17
] | 47 | [
"38+17=55",
"32/4=8",
"55-8=47"
] | Current State: 47:[38, 4, 32, 17], Operations: []
Exploring Operation: 38+17=55, Resulting Numbers: [4, 32, 55]
Generated Node #2: [4, 32, 55] from Operation: 38+17=55
Current State: 47:[4, 32, 55], Operations: ['38+17=55']
Exploring Operation: 32/4=8, Resulting Numbers: [55, 8]
Generated Node #3: [55, 8] from Operation: 32/4=8
Current State: 47:[55, 8], Operations: ['38+17=55', '32/4=8']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[38, 4, 32, 17], Operations: []
Exploring Operation: 4*17=68, Resulting Numbers: [38, 32, 68]
Generated Node #0,0: 47:[38, 32, 68] Operation: 4*17=68
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[38, 32, 68], Operations: ['4*17=68']
Exploring Operation: 68-32=36, Resulting Numbers: [38, 36]
Generated Node #0,0,0: 47:[38, 36] Operation: 68-32=36
Moving to Node #0,0,0
Current State: 47:[38, 36], Operations: ['4*17=68', '68-32=36']
Exploring Operation: 38+36=74, Resulting Numbers: [74]
74,47 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 |
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