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 |
|---|---|---|---|---|---|---|---|---|
[
34,
26,
55,
24
] | 79 | [
"34*55=1870",
"26+1870=1896",
"1896/24=79"
] | Current State: 79:[34, 26, 55, 24], Operations: []
Exploring Operation: 34*55=1870, Resulting Numbers: [26, 24, 1870]
Generated Node #2: [26, 24, 1870] from Operation: 34*55=1870
Current State: 79:[26, 24, 1870], Operations: ['34*55=1870']
Exploring Operation: 26+1870=1896, Resulting Numbers: [24, 1896]
Generated Node #3: [24, 1896] from Operation: 26+1870=1896
Current State: 79:[24, 1896], Operations: ['34*55=1870', '26+1870=1896']
Exploring Operation: 1896/24=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[34, 26, 55, 24], Operations: []
Exploring Operation: 34+24=58, Resulting Numbers: [26, 55, 58]
Generated Node #0,0: 79:[26, 55, 58] Operation: 34+24=58
Exploring Operation: 34+26=60, Resulting Numbers: [55, 24, 60]
Generated Node #0,1: 79:[55, 24, 60] Operation: 34+26=60
Moving to Node #0,0
Current State: 79:[26, 55, 58], Operations: ['34+24=58']
Exploring Operation: 26+58=84, Resulting Numbers: [55, 84]
Generated Node #0,0,0: 79:[55, 84] Operation: 26+58=84
Exploring Operation: 26+55=81, Resulting Numbers: [58, 81]
Generated Node #0,0,1: 79:[58, 81] Operation: 26+55=81
Moving to Node #0,1
Current State: 79:[55, 24, 60], Operations: ['34+26=60']
Exploring Operation: 24+60=84, Resulting Numbers: [55, 84]
Generated Node #0,1,0: 79:[55, 84] Operation: 24+60=84
Exploring Operation: 55+24=79, Resulting Numbers: [60, 79]
Generated Node #0,1,1: 79:[60, 79] Operation: 55+24=79
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 79:[60, 79], Operations: ['34+26=60', '55+24=79']
Exploring Operation: 79-60=19, Resulting Numbers: [19]
19,79 unequal: No Solution
Exploring Operation: 60+79=139, Resulting Numbers: [139]
139,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[55, 84], Operations: ['34+26=60', '24+60=84']
Exploring Operation: 55+84=139, Resulting Numbers: [139]
139,79 unequal: No Solution
Exploring Operation: 84-55=29, Resulting Numbers: [29]
29,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 79:[58, 81], Operations: ['34+24=58', '26+55=81']
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,79 unequal: No Solution
Exploring Operation: 58+81=139, Resulting Numbers: [139]
139,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[55, 84], Operations: ['34+24=58', '26+58=84']
Exploring Operation: 84-55=29, Resulting Numbers: [29]
29,79 unequal: No Solution
Exploring Operation: 55+84=139, Resulting Numbers: [139]
139,79 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
92,
82,
90,
21
] | 59 | [
"92-82=10",
"90-21=69",
"69-10=59"
] | Current State: 59:[92, 82, 90, 21], Operations: []
Exploring Operation: 92-82=10, Resulting Numbers: [90, 21, 10]
Generated Node #2: [90, 21, 10] from Operation: 92-82=10
Current State: 59:[90, 21, 10], Operations: ['92-82=10']
Exploring Operation: 90-21=69, Resulting Numbers: [10, 69]
Generated Node #3: [10, 69] from Operation: 90-21=69
Current State: 59:[10, 69], Operations: ['92-82=10', '90-21=69']
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[92, 82, 90, 21], Operations: []
Exploring Operation: 92-21=71, Resulting Numbers: [82, 90, 71]
Generated Node #0,0: 59:[82, 90, 71] Operation: 92-21=71
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[82, 90, 71], Operations: ['92-21=71']
Exploring Operation: 90-82=8, Resulting Numbers: [71, 8]
Generated Node #0,0,0: 59:[71, 8] Operation: 90-82=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[71, 8], Operations: ['92-21=71', '90-82=8']
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,59 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 |
[
74,
2,
38,
25
] | 43 | [
"74-38=36",
"36/2=18",
"25+18=43"
] | Current State: 43:[74, 2, 38, 25], Operations: []
Exploring Operation: 74-38=36, Resulting Numbers: [2, 25, 36]
Generated Node #2: [2, 25, 36] from Operation: 74-38=36
Current State: 43:[2, 25, 36], Operations: ['74-38=36']
Exploring Operation: 36/2=18, Resulting Numbers: [25, 18]
Generated Node #3: [25, 18] from Operation: 36/2=18
Current State: 43:[25, 18], Operations: ['74-38=36', '36/2=18']
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[74, 2, 38, 25], Operations: []
Exploring Operation: 74/2=37, Resulting Numbers: [38, 25, 37]
Generated Node #0,0: 43:[38, 25, 37] Operation: 74/2=37
Moving to Node #0,0
Current State: 43:[38, 25, 37], Operations: ['74/2=37']
Exploring Operation: 25+37=62, Resulting Numbers: [38, 62]
Generated Node #0,0,0: 43:[38, 62] Operation: 25+37=62
Moving to Node #0,0,0
Current State: 43:[38, 62], Operations: ['74/2=37', '25+37=62']
Exploring Operation: 62-38=24, Resulting Numbers: [24]
24,43 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
56,
45,
25,
48
] | 19 | [
"48-45=3",
"25*3=75",
"75-56=19"
] | Current State: 19:[56, 45, 25, 48], Operations: []
Exploring Operation: 48-45=3, Resulting Numbers: [56, 25, 3]
Generated Node #2: [56, 25, 3] from Operation: 48-45=3
Current State: 19:[56, 25, 3], Operations: ['48-45=3']
Exploring Operation: 25*3=75, Resulting Numbers: [56, 75]
Generated Node #3: [56, 75] from Operation: 25*3=75
Current State: 19:[56, 75], Operations: ['48-45=3', '25*3=75']
Exploring Operation: 75-56=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[56, 45, 25, 48], Operations: []
Exploring Operation: 56-45=11, Resulting Numbers: [25, 48, 11]
Generated Node #0,0: 19:[25, 48, 11] Operation: 56-45=11
Exploring Operation: 56-48=8, Resulting Numbers: [45, 25, 8]
Generated Node #0,1: 19:[45, 25, 8] Operation: 56-48=8
Moving to Node #0,0
Current State: 19:[25, 48, 11], Operations: ['56-45=11']
Exploring Operation: 48-25=23, Resulting Numbers: [11, 23]
Generated Node #0,0,0: 19:[11, 23] Operation: 48-25=23
Exploring Operation: 48-11=37, Resulting Numbers: [25, 37]
Generated Node #0,0,1: 19:[25, 37] Operation: 48-11=37
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[11, 23], Operations: ['56-45=11', '48-25=23']
Exploring Operation: 11+23=34, Resulting Numbers: [34]
34,19 unequal: No Solution
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 19:[25, 37], Operations: ['56-45=11', '48-11=37']
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,19 unequal: No Solution
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,19 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: 19:[45, 25, 8], Operations: ['56-48=8']
Exploring Operation: 45-25=20, Resulting Numbers: [8, 20]
Generated Node #0,1,0: 19:[8, 20] Operation: 45-25=20
Exploring Operation: 45-8=37, Resulting Numbers: [25, 37]
Generated Node #0,1,1: 19:[25, 37] Operation: 45-8=37
Moving to Node #0,1,0
Current State: 19:[8, 20], Operations: ['56-48=8', '45-25=20']
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[25, 37], Operations: ['56-48=8', '45-8=37']
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,19 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
24,
36,
77,
60
] | 29 | [
"36-24=12",
"77-60=17",
"12+17=29"
] | Current State: 29:[24, 36, 77, 60], Operations: []
Exploring Operation: 36-24=12, Resulting Numbers: [77, 60, 12]
Generated Node #2: [77, 60, 12] from Operation: 36-24=12
Current State: 29:[77, 60, 12], Operations: ['36-24=12']
Exploring Operation: 77-60=17, Resulting Numbers: [12, 17]
Generated Node #3: [12, 17] from Operation: 77-60=17
Current State: 29:[12, 17], Operations: ['36-24=12', '77-60=17']
Exploring Operation: 12+17=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[24, 36, 77, 60], Operations: []
Exploring Operation: 77-60=17, Resulting Numbers: [24, 36, 17]
Generated Node #0,0: 29:[24, 36, 17] Operation: 77-60=17
Exploring Operation: 77-36=41, Resulting Numbers: [24, 60, 41]
Generated Node #0,1: 29:[24, 60, 41] Operation: 77-36=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[24, 36, 17], Operations: ['77-60=17']
Exploring Operation: 24+17=41, Resulting Numbers: [36, 41]
Generated Node #0,0,0: 29:[36, 41] Operation: 24+17=41
Exploring Operation: 36-17=19, Resulting Numbers: [24, 19]
Generated Node #0,0,1: 29:[24, 19] Operation: 36-17=19
Moving to Node #0,0,1
Current State: 29:[24, 19], Operations: ['77-60=17', '36-17=19']
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,29 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[36, 41], Operations: ['77-60=17', '24+17=41']
Exploring Operation: 41-36=5, Resulting Numbers: [5]
5,29 unequal: No Solution
Exploring Operation: 36+41=77, Resulting Numbers: [77]
77,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[24, 60, 41], Operations: ['77-36=41']
Exploring Operation: 60-41=19, Resulting Numbers: [24, 19]
Generated Node #0,1,0: 29:[24, 19] Operation: 60-41=19
Exploring Operation: 60-24=36, Resulting Numbers: [41, 36]
Generated Node #0,1,1: 29:[41, 36] Operation: 60-24=36
Moving to Node #0,1,0
Current State: 29:[24, 19], Operations: ['77-36=41', '60-41=19']
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,29 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[41, 36], Operations: ['77-36=41', '60-24=36']
Exploring Operation: 41-36=5, Resulting Numbers: [5]
5,29 unequal: No Solution
Exploring Operation: 41+36=77, Resulting Numbers: [77]
77,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
70,
13,
56,
64
] | 91 | [
"70+13=83",
"64-56=8",
"83+8=91"
] | Current State: 91:[70, 13, 56, 64], Operations: []
Exploring Operation: 70+13=83, Resulting Numbers: [56, 64, 83]
Generated Node #2: [56, 64, 83] from Operation: 70+13=83
Current State: 91:[56, 64, 83], Operations: ['70+13=83']
Exploring Operation: 64-56=8, Resulting Numbers: [83, 8]
Generated Node #3: [83, 8] from Operation: 64-56=8
Current State: 91:[83, 8], Operations: ['70+13=83', '64-56=8']
Exploring Operation: 83+8=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[70, 13, 56, 64], Operations: []
Exploring Operation: 56+64=120, Resulting Numbers: [70, 13, 120]
Generated Node #0,0: 91:[70, 13, 120] Operation: 56+64=120
Exploring Operation: 70-56=14, Resulting Numbers: [13, 64, 14]
Generated Node #0,1: 91:[13, 64, 14] Operation: 70-56=14
Exploring Operation: 64-56=8, Resulting Numbers: [70, 13, 8]
Generated Node #0,2: 91:[70, 13, 8] Operation: 64-56=8
Exploring Operation: 70-64=6, Resulting Numbers: [13, 56, 6]
Generated Node #0,3: 91:[13, 56, 6] Operation: 70-64=6
Start Sub Search at level 1: Moving to Node #0,2
Current State: 91:[70, 13, 8], Operations: ['64-56=8']
Exploring Operation: 70+13=83, Resulting Numbers: [8, 83]
Generated Node #0,2,0: 91:[8, 83] Operation: 70+13=83
Exploring Operation: 70+8=78, Resulting Numbers: [13, 78]
Generated Node #0,2,1: 91:[13, 78] Operation: 70+8=78
Exploring Operation: 13-8=5, Resulting Numbers: [70, 5]
Generated Node #0,2,2: 91:[70, 5] Operation: 13-8=5
Exploring Operation: 70-8=62, Resulting Numbers: [13, 62]
Generated Node #0,2,3: 91:[13, 62] Operation: 70-8=62
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 91:[8, 83], Operations: ['64-56=8', '70+13=83']
Exploring Operation: 8+83=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[70, 13, 56, 64], Operations: []
Exploring Operation: 64-56=8, Resulting Numbers: [70, 13, 8]
Generated Node #0,2: 91:[70, 13, 8] Operation: 64-56=8
Moving to Node #0,2
Current State: 91:[70, 13, 8], Operations: ['64-56=8']
Exploring Operation: 70+13=83, Resulting Numbers: [8, 83]
Generated Node #0,2,0: 91:[8, 83] Operation: 70+13=83
Moving to Node #0,2,0
Current State: 91:[8, 83], Operations: ['64-56=8', '70+13=83']
Exploring Operation: 8+83=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
51,
7,
22,
57
] | 22 | [
"51+7=58",
"58-57=1",
"22*1=22"
] | Current State: 22:[51, 7, 22, 57], Operations: []
Exploring Operation: 51+7=58, Resulting Numbers: [22, 57, 58]
Generated Node #2: [22, 57, 58] from Operation: 51+7=58
Current State: 22:[22, 57, 58], Operations: ['51+7=58']
Exploring Operation: 58-57=1, Resulting Numbers: [22, 1]
Generated Node #3: [22, 1] from Operation: 58-57=1
Current State: 22:[22, 1], Operations: ['51+7=58', '58-57=1']
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[51, 7, 22, 57], Operations: []
Exploring Operation: 57-22=35, Resulting Numbers: [51, 7, 35]
Generated Node #0,0: 22:[51, 7, 35] Operation: 57-22=35
Exploring Operation: 57-51=6, Resulting Numbers: [7, 22, 6]
Generated Node #0,1: 22:[7, 22, 6] Operation: 57-51=6
Exploring Operation: 51-22=29, Resulting Numbers: [7, 57, 29]
Generated Node #0,2: 22:[7, 57, 29] Operation: 51-22=29
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[7, 22, 6], Operations: ['57-51=6']
Exploring Operation: 7-6=1, Resulting Numbers: [22, 1]
Generated Node #0,1,0: 22:[22, 1] Operation: 7-6=1
Exploring Operation: 22-7=15, Resulting Numbers: [6, 15]
Generated Node #0,1,1: 22:[6, 15] Operation: 22-7=15
Exploring Operation: 7+6=13, Resulting Numbers: [22, 13]
Generated Node #0,1,2: 22:[22, 13] Operation: 7+6=13
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 22:[22, 1], Operations: ['57-51=6', '7-6=1']
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[51, 7, 22, 57], Operations: []
Exploring Operation: 57-51=6, Resulting Numbers: [7, 22, 6]
Generated Node #0,1: 22:[7, 22, 6] Operation: 57-51=6
Moving to Node #0,1
Current State: 22:[7, 22, 6], Operations: ['57-51=6']
Exploring Operation: 7-6=1, Resulting Numbers: [22, 1]
Generated Node #0,1,0: 22:[22, 1] Operation: 7-6=1
Moving to Node #0,1,0
Current State: 22:[22, 1], Operations: ['57-51=6', '7-6=1']
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
30,
77,
30,
67
] | 70 | [
"30+77=107",
"67-30=37",
"107-37=70"
] | Current State: 70:[30, 77, 30, 67], Operations: []
Exploring Operation: 30+77=107, Resulting Numbers: [67, 107]
Generated Node #2: [67, 107] from Operation: 30+77=107
Current State: 70:[67, 107], Operations: ['30+77=107']
Exploring Operation: 67-30=37, Resulting Numbers: [107, 37]
Generated Node #3: [107, 37] from Operation: 67-30=37
Current State: 70:[107, 37], Operations: ['30+77=107', '67-30=37']
Exploring Operation: 107-37=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[30, 77, 30, 67], Operations: []
Exploring Operation: 30/30=1, Resulting Numbers: [77, 67, 1]
Generated Node #0,0: 70:[77, 67, 1] Operation: 30/30=1
Exploring Operation: 67-30=37, Resulting Numbers: [30, 77, 37]
Generated Node #0,1: 70:[30, 77, 37] Operation: 67-30=37
Exploring Operation: 67-30=37, Resulting Numbers: [77, 30, 37]
Generated Node #0,2: 70:[77, 30, 37] Operation: 67-30=37
Exploring Operation: 30-30=0, Resulting Numbers: [77, 67, 0]
Generated Node #0,3: 70:[77, 67, 0] Operation: 30-30=0
Exploring Operation: 77-67=10, Resulting Numbers: [30, 30, 10]
Generated Node #0,4: 70:[30, 30, 10] Operation: 77-67=10
Moving to Node #0,4
Current State: 70:[30, 30, 10], Operations: ['77-67=10']
Exploring Operation: 30/10=3, Resulting Numbers: [30, 3]
Generated Node #0,4,0: 70:[30, 3] Operation: 30/10=3
Exploring Operation: 30-30=0, Resulting Numbers: [10, 0]
Generated Node #0,4,1: 70:[10, 0] Operation: 30-30=0
Exploring Operation: 30/10=3, Resulting Numbers: [30, 3]
Generated Node #0,4,2: 70:[30, 3] Operation: 30/10=3
Exploring Operation: 30+30=60, Resulting Numbers: [10, 60]
Generated Node #0,4,3: 70:[10, 60] Operation: 30+30=60
Exploring Operation: 30/30=1, Resulting Numbers: [10, 1]
Generated Node #0,4,4: 70:[10, 1] Operation: 30/30=1
Moving to Node #0,0
Current State: 70:[77, 67, 1], Operations: ['30/30=1']
Exploring Operation: 77-1=76, Resulting Numbers: [67, 76]
Generated Node #0,0,0: 70:[67, 76] Operation: 77-1=76
Exploring Operation: 67+1=68, Resulting Numbers: [77, 68]
Generated Node #0,0,1: 70:[77, 68] Operation: 67+1=68
Exploring Operation: 77/1=77, Resulting Numbers: [67, 77]
Generated Node #0,0,2: 70:[67, 77] Operation: 77/1=77
Exploring Operation: 77*1=77, Resulting Numbers: [67, 77]
Generated Node #0,0,3: 70:[67, 77] Operation: 77*1=77
Exploring Operation: 77-67=10, Resulting Numbers: [1, 10]
Generated Node #0,0,4: 70:[1, 10] Operation: 77-67=10
Moving to Node #0,3
Current State: 70:[77, 67, 0], Operations: ['30-30=0']
Exploring Operation: 77-67=10, Resulting Numbers: [0, 10]
Generated Node #0,3,0: 70:[0, 10] Operation: 77-67=10
Exploring Operation: 77+0=77, Resulting Numbers: [67, 77]
Generated Node #0,3,1: 70:[67, 77] Operation: 77+0=77
Exploring Operation: 77*0=0, Resulting Numbers: [67, 0]
Generated Node #0,3,2: 70:[67, 0] Operation: 77*0=0
Exploring Operation: 77-0=77, Resulting Numbers: [67, 77]
Generated Node #0,3,3: 70:[67, 77] Operation: 77-0=77
Exploring Operation: 67*0=0, Resulting Numbers: [77, 0]
Generated Node #0,3,4: 70:[77, 0] Operation: 67*0=0
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 70:[0, 10], Operations: ['30-30=0', '77-67=10']
Exploring Operation: 10-0=10, Resulting Numbers: [10]
10,70 unequal: No Solution
Exploring Operation: 0+10=10, Resulting Numbers: [10]
10,70 unequal: No Solution
Exploring Operation: 0*10=0, Resulting Numbers: [0]
0,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 70:[67, 0], Operations: ['30-30=0', '77*0=0']
Exploring Operation: 67-0=67, Resulting Numbers: [67]
67,70 unequal: No Solution
Exploring Operation: 67+0=67, Resulting Numbers: [67]
67,70 unequal: No Solution
Exploring Operation: 67*0=0, Resulting Numbers: [0]
0,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 70:[77, 0], Operations: ['30-30=0', '67*0=0']
Exploring Operation: 77-0=77, Resulting Numbers: [77]
77,70 unequal: No Solution
Exploring Operation: 77*0=0, Resulting Numbers: [0]
0,70 unequal: No Solution
Exploring Operation: 77+0=77, Resulting Numbers: [77]
77,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 70:[67, 77], Operations: ['30-30=0', '77+0=77']
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,70 unequal: No Solution
Exploring Operation: 67*77=5159, Resulting Numbers: [5159]
5159,70 unequal: No Solution
Exploring Operation: 67+77=144, Resulting Numbers: [144]
144,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 70:[67, 77], Operations: ['30-30=0', '77-0=77']
Exploring Operation: 67+77=144, Resulting Numbers: [144]
144,70 unequal: No Solution
Exploring Operation: 67*77=5159, Resulting Numbers: [5159]
5159,70 unequal: No Solution
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,70 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: 70:[30, 77, 37], Operations: ['67-30=37']
Exploring Operation: 37-30=7, Resulting Numbers: [77, 7]
Generated Node #0,1,0: 70:[77, 7] Operation: 37-30=7
Exploring Operation: 30+77=107, Resulting Numbers: [37, 107]
Generated Node #0,1,1: 70:[37, 107] Operation: 30+77=107
Exploring Operation: 30+37=67, Resulting Numbers: [77, 67]
Generated Node #0,1,2: 70:[77, 67] Operation: 30+37=67
Exploring Operation: 77-30=47, Resulting Numbers: [37, 47]
Generated Node #0,1,3: 70:[37, 47] Operation: 77-30=47
Exploring Operation: 77-37=40, Resulting Numbers: [30, 40]
Generated Node #0,1,4: 70:[30, 40] Operation: 77-37=40
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 70:[77, 7], Operations: ['67-30=37', '37-30=7']
Exploring Operation: 77/7=11, Resulting Numbers: [11]
11,70 unequal: No Solution
Exploring Operation: 77*7=539, Resulting Numbers: [539]
539,70 unequal: No Solution
Exploring Operation: 77-7=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[30, 77, 30, 67], Operations: []
Exploring Operation: 67-30=37, Resulting Numbers: [30, 77, 37]
Generated Node #0,1: 70:[30, 77, 37] Operation: 67-30=37
Moving to Node #0,1
Current State: 70:[30, 77, 37], Operations: ['67-30=37']
Exploring Operation: 37-30=7, Resulting Numbers: [77, 7]
Generated Node #0,1,0: 70:[77, 7] Operation: 37-30=7
Moving to Node #0,1,0
Current State: 70:[77, 7], Operations: ['67-30=37', '37-30=7']
Exploring Operation: 77-7=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.959201 | hs_5 | sum_heuristic |
[
70,
38,
4,
7
] | 60 | [
"70-38=32",
"4*7=28",
"32+28=60"
] | Current State: 60:[70, 38, 4, 7], Operations: []
Exploring Operation: 70-38=32, Resulting Numbers: [4, 7, 32]
Generated Node #2: [4, 7, 32] from Operation: 70-38=32
Current State: 60:[4, 7, 32], Operations: ['70-38=32']
Exploring Operation: 4*7=28, Resulting Numbers: [32, 28]
Generated Node #3: [32, 28] from Operation: 4*7=28
Current State: 60:[32, 28], Operations: ['70-38=32', '4*7=28']
Exploring Operation: 32+28=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[70, 38, 4, 7], Operations: []
Exploring Operation: 70/7=10, Resulting Numbers: [38, 4, 10]
Generated Node #0,0: 60:[38, 4, 10] Operation: 70/7=10
Exploring Operation: 70-38=32, Resulting Numbers: [4, 7, 32]
Generated Node #0,1: 60:[4, 7, 32] Operation: 70-38=32
Moving to Node #0,1
Current State: 60:[4, 7, 32], Operations: ['70-38=32']
Exploring Operation: 7-4=3, Resulting Numbers: [32, 3]
Generated Node #0,1,0: 60:[32, 3] Operation: 7-4=3
Exploring Operation: 4+7=11, Resulting Numbers: [32, 11]
Generated Node #0,1,1: 60:[32, 11] Operation: 4+7=11
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 60:[32, 3], Operations: ['70-38=32', '7-4=3']
Exploring Operation: 32+3=35, Resulting Numbers: [35]
35,60 unequal: No Solution
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 60:[32, 11], Operations: ['70-38=32', '4+7=11']
Exploring Operation: 32+11=43, Resulting Numbers: [43]
43,60 unequal: No Solution
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,60 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: 60:[38, 4, 10], Operations: ['70/7=10']
Exploring Operation: 38-10=28, Resulting Numbers: [4, 28]
Generated Node #0,0,0: 60:[4, 28] Operation: 38-10=28
Exploring Operation: 38-4=34, Resulting Numbers: [10, 34]
Generated Node #0,0,1: 60:[10, 34] Operation: 38-4=34
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 60:[4, 28], Operations: ['70/7=10', '38-10=28']
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,60 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 60:[10, 34], Operations: ['70/7=10', '38-4=34']
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 10+34=44, Resulting Numbers: [44]
44,60 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 |
[
12,
26,
44,
54
] | 13 | [
"12+44=56",
"56-54=2",
"26/2=13"
] | Current State: 13:[12, 26, 44, 54], Operations: []
Exploring Operation: 12+44=56, Resulting Numbers: [26, 54, 56]
Generated Node #2: [26, 54, 56] from Operation: 12+44=56
Current State: 13:[26, 54, 56], Operations: ['12+44=56']
Exploring Operation: 56-54=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 56-54=2
Current State: 13:[26, 2], Operations: ['12+44=56', '56-54=2']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[12, 26, 44, 54], Operations: []
Exploring Operation: 44-26=18, Resulting Numbers: [12, 54, 18]
Generated Node #0,0: 13:[12, 54, 18] Operation: 44-26=18
Exploring Operation: 54-44=10, Resulting Numbers: [12, 26, 10]
Generated Node #0,1: 13:[12, 26, 10] Operation: 54-44=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[12, 26, 10], Operations: ['54-44=10']
Exploring Operation: 26-12=14, Resulting Numbers: [10, 14]
Generated Node #0,1,0: 13:[10, 14] Operation: 26-12=14
Exploring Operation: 26-10=16, Resulting Numbers: [12, 16]
Generated Node #0,1,1: 13:[12, 16] Operation: 26-10=16
Moving to Node #0,1,0
Current State: 13:[10, 14], Operations: ['54-44=10', '26-12=14']
Exploring Operation: 10+14=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,13 unequal: No Solution
Moving to Node #0,1,1
Current State: 13:[12, 16], Operations: ['54-44=10', '26-10=16']
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,13 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,13 unequal: No Solution
No 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: 13:[12, 54, 18], Operations: ['44-26=18']
Exploring Operation: 54/18=3, Resulting Numbers: [12, 3]
Generated Node #0,0,0: 13:[12, 3] Operation: 54/18=3
Exploring Operation: 54-18=36, Resulting Numbers: [12, 36]
Generated Node #0,0,1: 13:[12, 36] Operation: 54-18=36
Moving to Node #0,0,0
Current State: 13:[12, 3], Operations: ['44-26=18', '54/18=3']
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,13 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,13 unequal: No Solution
Moving to Node #0,0,1
Current State: 13:[12, 36], Operations: ['44-26=18', '54-18=36']
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,13 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 |
[
3,
30,
83,
89
] | 33 | [
"30-3=27",
"89-83=6",
"27+6=33"
] | Current State: 33:[3, 30, 83, 89], Operations: []
Exploring Operation: 30-3=27, Resulting Numbers: [83, 89, 27]
Generated Node #2: [83, 89, 27] from Operation: 30-3=27
Current State: 33:[83, 89, 27], Operations: ['30-3=27']
Exploring Operation: 89-83=6, Resulting Numbers: [27, 6]
Generated Node #3: [27, 6] from Operation: 89-83=6
Current State: 33:[27, 6], Operations: ['30-3=27', '89-83=6']
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[3, 30, 83, 89], Operations: []
Exploring Operation: 83-30=53, Resulting Numbers: [3, 89, 53]
Generated Node #0,0: 33:[3, 89, 53] Operation: 83-30=53
Exploring Operation: 89-30=59, Resulting Numbers: [3, 83, 59]
Generated Node #0,1: 33:[3, 83, 59] Operation: 89-30=59
Exploring Operation: 89-83=6, Resulting Numbers: [3, 30, 6]
Generated Node #0,2: 33:[3, 30, 6] Operation: 89-83=6
Start Sub Search at level 1: Moving to Node #0,2
Current State: 33:[3, 30, 6], Operations: ['89-83=6']
Exploring Operation: 30/6=5, Resulting Numbers: [3, 5]
Generated Node #0,2,0: 33:[3, 5] Operation: 30/6=5
Exploring Operation: 6-3=3, Resulting Numbers: [30, 3]
Generated Node #0,2,1: 33:[30, 3] Operation: 6-3=3
Exploring Operation: 3+30=33, Resulting Numbers: [6, 33]
Generated Node #0,2,2: 33:[6, 33] Operation: 3+30=33
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 33:[3, 5], Operations: ['89-83=6', '30/6=5']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,33 unequal: No Solution
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 33:[30, 3], Operations: ['89-83=6', '6-3=3']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,33 unequal: No Solution
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[3, 30, 83, 89], Operations: []
Exploring Operation: 89-83=6, Resulting Numbers: [3, 30, 6]
Generated Node #0,2: 33:[3, 30, 6] Operation: 89-83=6
Moving to Node #0,2
Current State: 33:[3, 30, 6], Operations: ['89-83=6']
Exploring Operation: 6-3=3, Resulting Numbers: [30, 3]
Generated Node #0,2,1: 33:[30, 3] Operation: 6-3=3
Moving to Node #0,2,1
Current State: 33:[30, 3], Operations: ['89-83=6', '6-3=3']
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
3,
5,
69,
12
] | 83 | [
"5-3=2",
"69+12=81",
"2+81=83"
] | Current State: 83:[3, 5, 69, 12], Operations: []
Exploring Operation: 5-3=2, Resulting Numbers: [69, 12, 2]
Generated Node #2: [69, 12, 2] from Operation: 5-3=2
Current State: 83:[69, 12, 2], Operations: ['5-3=2']
Exploring Operation: 69+12=81, Resulting Numbers: [2, 81]
Generated Node #3: [2, 81] from Operation: 69+12=81
Current State: 83:[2, 81], Operations: ['5-3=2', '69+12=81']
Exploring Operation: 2+81=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[3, 5, 69, 12], Operations: []
Exploring Operation: 3+69=72, Resulting Numbers: [5, 12, 72]
Generated Node #0,0: 83:[5, 12, 72] Operation: 3+69=72
Exploring Operation: 3*5=15, Resulting Numbers: [69, 12, 15]
Generated Node #0,1: 83:[69, 12, 15] Operation: 3*5=15
Exploring Operation: 5*12=60, Resulting Numbers: [3, 69, 60]
Generated Node #0,2: 83:[3, 69, 60] Operation: 5*12=60
Exploring Operation: 3+5=8, Resulting Numbers: [69, 12, 8]
Generated Node #0,3: 83:[69, 12, 8] Operation: 3+5=8
Exploring Operation: 3*12=36, Resulting Numbers: [5, 69, 36]
Generated Node #0,4: 83:[5, 69, 36] Operation: 3*12=36
Moving to Node #0,2
Current State: 83:[3, 69, 60], Operations: ['5*12=60']
Exploring Operation: 3+60=63, Resulting Numbers: [69, 63]
Generated Node #0,2,0: 83:[69, 63] Operation: 3+60=63
Exploring Operation: 3+69=72, Resulting Numbers: [60, 72]
Generated Node #0,2,1: 83:[60, 72] Operation: 3+69=72
Exploring Operation: 60/3=20, Resulting Numbers: [69, 20]
Generated Node #0,2,2: 83:[69, 20] Operation: 60/3=20
Exploring Operation: 60-3=57, Resulting Numbers: [69, 57]
Generated Node #0,2,3: 83:[69, 57] Operation: 60-3=57
Exploring Operation: 69-3=66, Resulting Numbers: [60, 66]
Generated Node #0,2,4: 83:[60, 66] Operation: 69-3=66
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 83:[69, 63], Operations: ['5*12=60', '3+60=63']
Exploring Operation: 69*63=4347, Resulting Numbers: [4347]
4347,83 unequal: No Solution
Exploring Operation: 69-63=6, Resulting Numbers: [6]
6,83 unequal: No Solution
Exploring Operation: 69+63=132, Resulting Numbers: [132]
132,83 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 #0,2,1
Current State: 83:[60, 72], Operations: ['5*12=60', '3+69=72']
Exploring Operation: 60+72=132, Resulting Numbers: [132]
132,83 unequal: No Solution
Exploring Operation: 72-60=12, Resulting Numbers: [12]
12,83 unequal: No Solution
Exploring Operation: 60*72=4320, Resulting Numbers: [4320]
4320,83 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 #0,2,3
Current State: 83:[69, 57], Operations: ['5*12=60', '60-3=57']
Exploring Operation: 69+57=126, Resulting Numbers: [126]
126,83 unequal: No Solution
Exploring Operation: 69-57=12, Resulting Numbers: [12]
12,83 unequal: No Solution
Exploring Operation: 69*57=3933, Resulting Numbers: [3933]
3933,83 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 #0,2,4
Current State: 83:[60, 66], Operations: ['5*12=60', '69-3=66']
Exploring Operation: 66-60=6, Resulting Numbers: [6]
6,83 unequal: No Solution
Exploring Operation: 60+66=126, Resulting Numbers: [126]
126,83 unequal: No Solution
Exploring Operation: 60*66=3960, Resulting Numbers: [3960]
3960,83 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 #0,2,2
Current State: 83:[69, 20], Operations: ['5*12=60', '60/3=20']
Exploring Operation: 69+20=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,83 unequal: No Solution
Exploring Operation: 69*20=1380, Resulting Numbers: [1380]
1380,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 83:[5, 69, 36], Operations: ['3*12=36']
Exploring Operation: 5+69=74, Resulting Numbers: [36, 74]
Generated Node #0,4,0: 83:[36, 74] Operation: 5+69=74
Exploring Operation: 69-5=64, Resulting Numbers: [36, 64]
Generated Node #0,4,1: 83:[36, 64] Operation: 69-5=64
Exploring Operation: 69+36=105, Resulting Numbers: [5, 105]
Generated Node #0,4,2: 83:[5, 105] Operation: 69+36=105
Exploring Operation: 36-5=31, Resulting Numbers: [69, 31]
Generated Node #0,4,3: 83:[69, 31] Operation: 36-5=31
Exploring Operation: 5+36=41, Resulting Numbers: [69, 41]
Generated Node #0,4,4: 83:[69, 41] Operation: 5+36=41
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 83:[36, 74], Operations: ['3*12=36', '5+69=74']
Exploring Operation: 74-36=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 36+74=110, Resulting Numbers: [110]
110,83 unequal: No Solution
Exploring Operation: 36*74=2664, Resulting Numbers: [2664]
2664,83 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 #0,4,4
Current State: 83:[69, 41], Operations: ['3*12=36', '5+36=41']
Exploring Operation: 69*41=2829, Resulting Numbers: [2829]
2829,83 unequal: No Solution
Exploring Operation: 69+41=110, Resulting Numbers: [110]
110,83 unequal: No Solution
Exploring Operation: 69-41=28, Resulting Numbers: [28]
28,83 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 #0,4,1
Current State: 83:[36, 64], Operations: ['3*12=36', '69-5=64']
Exploring Operation: 64-36=28, Resulting Numbers: [28]
28,83 unequal: No Solution
Exploring Operation: 36+64=100, Resulting Numbers: [100]
100,83 unequal: No Solution
Exploring Operation: 36*64=2304, Resulting Numbers: [2304]
2304,83 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 #0,4,3
Current State: 83:[69, 31], Operations: ['3*12=36', '36-5=31']
Exploring Operation: 69+31=100, Resulting Numbers: [100]
100,83 unequal: No Solution
Exploring Operation: 69*31=2139, Resulting Numbers: [2139]
2139,83 unequal: No Solution
Exploring Operation: 69-31=38, Resulting Numbers: [38]
38,83 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 #0,4,2
Current State: 83:[5, 105], Operations: ['3*12=36', '69+36=105']
Exploring Operation: 105-5=100, Resulting Numbers: [100]
100,83 unequal: No Solution
Exploring Operation: 5*105=525, Resulting Numbers: [525]
525,83 unequal: No Solution
Exploring Operation: 5+105=110, Resulting Numbers: [110]
110,83 unequal: No Solution
Exploring Operation: 105/5=21, Resulting Numbers: [21]
21,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 83:[69, 12, 15], Operations: ['3*5=15']
Exploring Operation: 15-12=3, Resulting Numbers: [69, 3]
Generated Node #0,1,0: 83:[69, 3] Operation: 15-12=3
Exploring Operation: 69+15=84, Resulting Numbers: [12, 84]
Generated Node #0,1,1: 83:[12, 84] Operation: 69+15=84
Exploring Operation: 12+15=27, Resulting Numbers: [69, 27]
Generated Node #0,1,2: 83:[69, 27] Operation: 12+15=27
Exploring Operation: 69+12=81, Resulting Numbers: [15, 81]
Generated Node #0,1,3: 83:[15, 81] Operation: 69+12=81
Exploring Operation: 69-12=57, Resulting Numbers: [15, 57]
Generated Node #0,1,4: 83:[15, 57] Operation: 69-12=57
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 83:[69, 27], Operations: ['3*5=15', '12+15=27']
Exploring Operation: 69+27=96, Resulting Numbers: [96]
96,83 unequal: No Solution
Exploring Operation: 69*27=1863, Resulting Numbers: [1863]
1863,83 unequal: No Solution
Exploring Operation: 69-27=42, Resulting Numbers: [42]
42,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 83:[15, 81], Operations: ['3*5=15', '69+12=81']
Exploring Operation: 15+81=96, Resulting Numbers: [96]
96,83 unequal: No Solution
Exploring Operation: 81-15=66, Resulting Numbers: [66]
66,83 unequal: No Solution
Exploring Operation: 15*81=1215, Resulting Numbers: [1215]
1215,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 83:[12, 84], Operations: ['3*5=15', '69+15=84']
Exploring Operation: 12*84=1008, Resulting Numbers: [1008]
1008,83 unequal: No Solution
Exploring Operation: 84/12=7, Resulting Numbers: [7]
7,83 unequal: No Solution
Exploring Operation: 12+84=96, Resulting Numbers: [96]
96,83 unequal: No Solution
Exploring Operation: 84-12=72, Resulting Numbers: [72]
72,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[69, 3], Operations: ['3*5=15', '15-12=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,83 unequal: No Solution
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,83 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 83:[15, 57], Operations: ['3*5=15', '69-12=57']
Exploring Operation: 15+57=72, Resulting Numbers: [72]
72,83 unequal: No Solution
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Exploring Operation: 15*57=855, Resulting Numbers: [855]
855,83 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: 83:[5, 12, 72], Operations: ['3+69=72']
Exploring Operation: 12+72=84, Resulting Numbers: [5, 84]
Generated Node #0,0,0: 83:[5, 84] Operation: 12+72=84
Exploring Operation: 5+72=77, Resulting Numbers: [12, 77]
Generated Node #0,0,1: 83:[12, 77] Operation: 5+72=77
Exploring Operation: 5+12=17, Resulting Numbers: [72, 17]
Generated Node #0,0,2: 83:[72, 17] Operation: 5+12=17
Exploring Operation: 12-5=7, Resulting Numbers: [72, 7]
Generated Node #0,0,3: 83:[72, 7] Operation: 12-5=7
Exploring Operation: 5*12=60, Resulting Numbers: [72, 60]
Generated Node #0,0,4: 83:[72, 60] Operation: 5*12=60
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 83:[72, 60], Operations: ['3+69=72', '5*12=60']
Exploring Operation: 72-60=12, Resulting Numbers: [12]
12,83 unequal: No Solution
Exploring Operation: 72+60=132, Resulting Numbers: [132]
132,83 unequal: No Solution
Exploring Operation: 72*60=4320, Resulting Numbers: [4320]
4320,83 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 #0,0,1
Current State: 83:[12, 77], Operations: ['3+69=72', '5+72=77']
Exploring Operation: 12*77=924, Resulting Numbers: [924]
924,83 unequal: No Solution
Exploring Operation: 12+77=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Exploring Operation: 77-12=65, Resulting Numbers: [65]
65,83 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 #0,0,2
Current State: 83:[72, 17], Operations: ['3+69=72', '5+12=17']
Exploring Operation: 72-17=55, Resulting Numbers: [55]
55,83 unequal: No Solution
Exploring Operation: 72+17=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Exploring Operation: 72*17=1224, Resulting Numbers: [1224]
1224,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[5, 84], Operations: ['3+69=72', '12+72=84']
Exploring Operation: 5+84=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Exploring Operation: 5*84=420, Resulting Numbers: [420]
420,83 unequal: No Solution
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,83 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 #0,0,3
Current State: 83:[72, 7], Operations: ['3+69=72', '12-5=7']
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,83 unequal: No Solution
Exploring Operation: 72*7=504, Resulting Numbers: [504]
504,83 unequal: No Solution
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,83 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: 83:[69, 12, 8], Operations: ['3+5=8']
Exploring Operation: 12*8=96, Resulting Numbers: [69, 96]
Generated Node #0,3,0: 83:[69, 96] Operation: 12*8=96
Exploring Operation: 12+8=20, Resulting Numbers: [69, 20]
Generated Node #0,3,1: 83:[69, 20] Operation: 12+8=20
Exploring Operation: 69+8=77, Resulting Numbers: [12, 77]
Generated Node #0,3,2: 83:[12, 77] Operation: 69+8=77
Exploring Operation: 69+12=81, Resulting Numbers: [8, 81]
Generated Node #0,3,3: 83:[8, 81] Operation: 69+12=81
Exploring Operation: 69-8=61, Resulting Numbers: [12, 61]
Generated Node #0,3,4: 83:[12, 61] Operation: 69-8=61
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 83:[69, 96], Operations: ['3+5=8', '12*8=96']
Exploring Operation: 96-69=27, Resulting Numbers: [27]
27,83 unequal: No Solution
Exploring Operation: 69*96=6624, Resulting Numbers: [6624]
6624,83 unequal: No Solution
Exploring Operation: 69+96=165, Resulting Numbers: [165]
165,83 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 #0,3,1
Current State: 83:[69, 20], Operations: ['3+5=8', '12+8=20']
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,83 unequal: No Solution
Exploring Operation: 69*20=1380, Resulting Numbers: [1380]
1380,83 unequal: No Solution
Exploring Operation: 69+20=89, Resulting Numbers: [89]
89,83 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 #0,3,2
Current State: 83:[12, 77], Operations: ['3+5=8', '69+8=77']
Exploring Operation: 77-12=65, Resulting Numbers: [65]
65,83 unequal: No Solution
Exploring Operation: 12*77=924, Resulting Numbers: [924]
924,83 unequal: No Solution
Exploring Operation: 12+77=89, Resulting Numbers: [89]
89,83 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 #0,3,3
Current State: 83:[8, 81], Operations: ['3+5=8', '69+12=81']
Exploring Operation: 8+81=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Exploring Operation: 81-8=73, Resulting Numbers: [73]
73,83 unequal: No Solution
Exploring Operation: 8*81=648, Resulting Numbers: [648]
648,83 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 #0,3,4
Current State: 83:[12, 61], Operations: ['3+5=8', '69-8=61']
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,83 unequal: No Solution
Exploring Operation: 12*61=732, Resulting Numbers: [732]
732,83 unequal: No Solution
Exploring Operation: 12+61=73, Resulting Numbers: [73]
73,83 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 |
[
28,
64,
77,
31
] | 72 | [
"64-28=36",
"77+31=108",
"108-36=72"
] | Current State: 72:[28, 64, 77, 31], Operations: []
Exploring Operation: 64-28=36, Resulting Numbers: [77, 31, 36]
Generated Node #2: [77, 31, 36] from Operation: 64-28=36
Current State: 72:[77, 31, 36], Operations: ['64-28=36']
Exploring Operation: 77+31=108, Resulting Numbers: [36, 108]
Generated Node #3: [36, 108] from Operation: 77+31=108
Current State: 72:[36, 108], Operations: ['64-28=36', '77+31=108']
Exploring Operation: 108-36=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[28, 64, 77, 31], Operations: []
Exploring Operation: 77-64=13, Resulting Numbers: [28, 31, 13]
Generated Node #0,0: 72:[28, 31, 13] Operation: 77-64=13
Exploring Operation: 64-31=33, Resulting Numbers: [28, 77, 33]
Generated Node #0,1: 72:[28, 77, 33] Operation: 64-31=33
Exploring Operation: 64-28=36, Resulting Numbers: [77, 31, 36]
Generated Node #0,2: 72:[77, 31, 36] Operation: 64-28=36
Moving to Node #0,0
Current State: 72:[28, 31, 13], Operations: ['77-64=13']
Exploring Operation: 31-13=18, Resulting Numbers: [28, 18]
Generated Node #0,0,0: 72:[28, 18] Operation: 31-13=18
Exploring Operation: 28-13=15, Resulting Numbers: [31, 15]
Generated Node #0,0,1: 72:[31, 15] Operation: 28-13=15
Exploring Operation: 31-28=3, Resulting Numbers: [13, 3]
Generated Node #0,0,2: 72:[13, 3] Operation: 31-28=3
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 72:[13, 3], Operations: ['77-64=13', '31-28=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,72 unequal: No Solution
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,72 unequal: No Solution
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,72 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 #0,0,0
Current State: 72:[28, 18], Operations: ['77-64=13', '31-13=18']
Exploring Operation: 28*18=504, Resulting Numbers: [504]
504,72 unequal: No Solution
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,72 unequal: No Solution
Exploring Operation: 28+18=46, Resulting Numbers: [46]
46,72 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 #0,0,1
Current State: 72:[31, 15], Operations: ['77-64=13', '28-13=15']
Exploring Operation: 31-15=16, Resulting Numbers: [16]
16,72 unequal: No Solution
Exploring Operation: 31+15=46, Resulting Numbers: [46]
46,72 unequal: No Solution
Exploring Operation: 31*15=465, Resulting Numbers: [465]
465,72 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: 72:[77, 31, 36], Operations: ['64-28=36']
Exploring Operation: 77-36=41, Resulting Numbers: [31, 41]
Generated Node #0,2,0: 72:[31, 41] Operation: 77-36=41
Exploring Operation: 77-31=46, Resulting Numbers: [36, 46]
Generated Node #0,2,1: 72:[36, 46] Operation: 77-31=46
Exploring Operation: 36-31=5, Resulting Numbers: [77, 5]
Generated Node #0,2,2: 72:[77, 5] Operation: 36-31=5
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[77, 5], Operations: ['64-28=36', '36-31=5']
Exploring Operation: 77*5=385, Resulting Numbers: [385]
385,72 unequal: No Solution
Exploring Operation: 77+5=82, Resulting Numbers: [82]
82,72 unequal: No Solution
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[28, 64, 77, 31], Operations: []
Exploring Operation: 64-28=36, Resulting Numbers: [77, 31, 36]
Generated Node #0,2: 72:[77, 31, 36] Operation: 64-28=36
Moving to Node #0,2
Current State: 72:[77, 31, 36], Operations: ['64-28=36']
Exploring Operation: 36-31=5, Resulting Numbers: [77, 5]
Generated Node #0,2,2: 72:[77, 5] Operation: 36-31=5
Moving to Node #0,2,2
Current State: 72:[77, 5], Operations: ['64-28=36', '36-31=5']
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_3 | sum_heuristic |
[
28,
30,
54,
17
] | 73 | [
"30-28=2",
"54+17=71",
"2+71=73"
] | Current State: 73:[28, 30, 54, 17], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [54, 17, 2]
Generated Node #2: [54, 17, 2] from Operation: 30-28=2
Current State: 73:[54, 17, 2], Operations: ['30-28=2']
Exploring Operation: 54+17=71, Resulting Numbers: [2, 71]
Generated Node #3: [2, 71] from Operation: 54+17=71
Current State: 73:[2, 71], Operations: ['30-28=2', '54+17=71']
Exploring Operation: 2+71=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[28, 30, 54, 17], Operations: []
Exploring Operation: 28+30=58, Resulting Numbers: [54, 17, 58]
Generated Node #0,0: 73:[54, 17, 58] Operation: 28+30=58
Exploring Operation: 28+17=45, Resulting Numbers: [30, 54, 45]
Generated Node #0,1: 73:[30, 54, 45] Operation: 28+17=45
Exploring Operation: 54+17=71, Resulting Numbers: [28, 30, 71]
Generated Node #0,2: 73:[28, 30, 71] Operation: 54+17=71
Exploring Operation: 30+17=47, Resulting Numbers: [28, 54, 47]
Generated Node #0,3: 73:[28, 54, 47] Operation: 30+17=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[54, 17, 58], Operations: ['28+30=58']
Exploring Operation: 58-17=41, Resulting Numbers: [54, 41]
Generated Node #0,0,0: 73:[54, 41] Operation: 58-17=41
Exploring Operation: 54-17=37, Resulting Numbers: [58, 37]
Generated Node #0,0,1: 73:[58, 37] Operation: 54-17=37
Exploring Operation: 54+17=71, Resulting Numbers: [58, 71]
Generated Node #0,0,2: 73:[58, 71] Operation: 54+17=71
Exploring Operation: 17+58=75, Resulting Numbers: [54, 75]
Generated Node #0,0,3: 73:[54, 75] Operation: 17+58=75
Moving to Node #0,0,2
Current State: 73:[58, 71], Operations: ['28+30=58', '54+17=71']
Exploring Operation: 58+71=129, Resulting Numbers: [129]
129,73 unequal: No Solution
Exploring Operation: 58*71=4118, Resulting Numbers: [4118]
4118,73 unequal: No Solution
Exploring Operation: 71-58=13, Resulting Numbers: [13]
13,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[54, 75], Operations: ['28+30=58', '17+58=75']
Exploring Operation: 54+75=129, Resulting Numbers: [129]
129,73 unequal: No Solution
Exploring Operation: 75-54=21, Resulting Numbers: [21]
21,73 unequal: No Solution
Exploring Operation: 54*75=4050, Resulting Numbers: [4050]
4050,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[58, 37], Operations: ['28+30=58', '54-17=37']
Exploring Operation: 58+37=95, Resulting Numbers: [95]
95,73 unequal: No Solution
Exploring Operation: 58*37=2146, Resulting Numbers: [2146]
2146,73 unequal: No Solution
Exploring Operation: 58-37=21, Resulting Numbers: [21]
21,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[54, 41], Operations: ['28+30=58', '58-17=41']
Exploring Operation: 54+41=95, Resulting Numbers: [95]
95,73 unequal: No Solution
Exploring Operation: 54-41=13, Resulting Numbers: [13]
13,73 unequal: No Solution
Exploring Operation: 54*41=2214, Resulting Numbers: [2214]
2214,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[30, 54, 45], Operations: ['28+17=45']
Exploring Operation: 54+45=99, Resulting Numbers: [30, 99]
Generated Node #0,1,0: 73:[30, 99] Operation: 54+45=99
Exploring Operation: 30+45=75, Resulting Numbers: [54, 75]
Generated Node #0,1,1: 73:[54, 75] Operation: 30+45=75
Exploring Operation: 30+54=84, Resulting Numbers: [45, 84]
Generated Node #0,1,2: 73:[45, 84] Operation: 30+54=84
Exploring Operation: 54-30=24, Resulting Numbers: [45, 24]
Generated Node #0,1,3: 73:[45, 24] Operation: 54-30=24
Moving to Node #0,1,1
Current State: 73:[54, 75], Operations: ['28+17=45', '30+45=75']
Exploring Operation: 75-54=21, Resulting Numbers: [21]
21,73 unequal: No Solution
Exploring Operation: 54+75=129, Resulting Numbers: [129]
129,73 unequal: No Solution
Exploring Operation: 54*75=4050, Resulting Numbers: [4050]
4050,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[45, 84], Operations: ['28+17=45', '30+54=84']
Exploring Operation: 45+84=129, Resulting Numbers: [129]
129,73 unequal: No Solution
Exploring Operation: 45*84=3780, Resulting Numbers: [3780]
3780,73 unequal: No Solution
Exploring Operation: 84-45=39, Resulting Numbers: [39]
39,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[30, 99], Operations: ['28+17=45', '54+45=99']
Exploring Operation: 30*99=2970, Resulting Numbers: [2970]
2970,73 unequal: No Solution
Exploring Operation: 99-30=69, Resulting Numbers: [69]
69,73 unequal: No Solution
Exploring Operation: 30+99=129, Resulting Numbers: [129]
129,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[45, 24], Operations: ['28+17=45', '54-30=24']
Exploring Operation: 45-24=21, Resulting Numbers: [21]
21,73 unequal: No Solution
Exploring Operation: 45*24=1080, Resulting Numbers: [1080]
1080,73 unequal: No Solution
Exploring Operation: 45+24=69, Resulting Numbers: [69]
69,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[28, 30, 71], Operations: ['54+17=71']
Exploring Operation: 28+71=99, Resulting Numbers: [30, 99]
Generated Node #0,2,0: 73:[30, 99] Operation: 28+71=99
Exploring Operation: 28+30=58, Resulting Numbers: [71, 58]
Generated Node #0,2,1: 73:[71, 58] Operation: 28+30=58
Exploring Operation: 71-28=43, Resulting Numbers: [30, 43]
Generated Node #0,2,2: 73:[30, 43] Operation: 71-28=43
Exploring Operation: 30-28=2, Resulting Numbers: [71, 2]
Generated Node #0,2,3: 73:[71, 2] Operation: 30-28=2
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 73:[71, 58], Operations: ['54+17=71', '28+30=58']
Exploring Operation: 71*58=4118, Resulting Numbers: [4118]
4118,73 unequal: No Solution
Exploring Operation: 71+58=129, Resulting Numbers: [129]
129,73 unequal: No Solution
Exploring Operation: 71-58=13, Resulting Numbers: [13]
13,73 unequal: No Solution
No 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: 73:[30, 99], Operations: ['54+17=71', '28+71=99']
Exploring Operation: 30+99=129, Resulting Numbers: [129]
129,73 unequal: No Solution
Exploring Operation: 99-30=69, Resulting Numbers: [69]
69,73 unequal: No Solution
Exploring Operation: 30*99=2970, Resulting Numbers: [2970]
2970,73 unequal: No Solution
No 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: 73:[30, 43], Operations: ['54+17=71', '71-28=43']
Exploring Operation: 43-30=13, Resulting Numbers: [13]
13,73 unequal: No Solution
Exploring Operation: 30+43=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[28, 30, 54, 17], Operations: []
Exploring Operation: 54+17=71, Resulting Numbers: [28, 30, 71]
Generated Node #0,2: 73:[28, 30, 71] Operation: 54+17=71
Moving to Node #0,2
Current State: 73:[28, 30, 71], Operations: ['54+17=71']
Exploring Operation: 71-28=43, Resulting Numbers: [30, 43]
Generated Node #0,2,2: 73:[30, 43] Operation: 71-28=43
Moving to Node #0,2,2
Current State: 73:[30, 43], Operations: ['54+17=71', '71-28=43']
Exploring Operation: 30+43=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.954861 | hs_4 | sum_heuristic |
[
77,
29,
28,
19
] | 80 | [
"29+28=57",
"57/19=3",
"77+3=80"
] | Current State: 80:[77, 29, 28, 19], Operations: []
Exploring Operation: 29+28=57, Resulting Numbers: [77, 19, 57]
Generated Node #2: [77, 19, 57] from Operation: 29+28=57
Current State: 80:[77, 19, 57], Operations: ['29+28=57']
Exploring Operation: 57/19=3, Resulting Numbers: [77, 3]
Generated Node #3: [77, 3] from Operation: 57/19=3
Current State: 80:[77, 3], Operations: ['29+28=57', '57/19=3']
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[77, 29, 28, 19], Operations: []
Exploring Operation: 28-19=9, Resulting Numbers: [77, 29, 9]
Generated Node #0,0: 80:[77, 29, 9] Operation: 28-19=9
Exploring Operation: 77-29=48, Resulting Numbers: [28, 19, 48]
Generated Node #0,1: 80:[28, 19, 48] Operation: 77-29=48
Exploring Operation: 29-19=10, Resulting Numbers: [77, 28, 10]
Generated Node #0,2: 80:[77, 28, 10] Operation: 29-19=10
Exploring Operation: 29-28=1, Resulting Numbers: [77, 19, 1]
Generated Node #0,3: 80:[77, 19, 1] Operation: 29-28=1
Moving to Node #0,3
Current State: 80:[77, 19, 1], Operations: ['29-28=1']
Exploring Operation: 77+1=78, Resulting Numbers: [19, 78]
Generated Node #0,3,0: 80:[19, 78] Operation: 77+1=78
Exploring Operation: 19+1=20, Resulting Numbers: [77, 20]
Generated Node #0,3,1: 80:[77, 20] Operation: 19+1=20
Exploring Operation: 77*1=77, Resulting Numbers: [19, 77]
Generated Node #0,3,2: 80:[19, 77] Operation: 77*1=77
Exploring Operation: 77/1=77, Resulting Numbers: [19, 77]
Generated Node #0,3,3: 80:[19, 77] Operation: 77/1=77
Moving to Node #0,2
Current State: 80:[77, 28, 10], Operations: ['29-19=10']
Exploring Operation: 28+10=38, Resulting Numbers: [77, 38]
Generated Node #0,2,0: 80:[77, 38] Operation: 28+10=38
Exploring Operation: 77+10=87, Resulting Numbers: [28, 87]
Generated Node #0,2,1: 80:[28, 87] Operation: 77+10=87
Exploring Operation: 77-28=49, Resulting Numbers: [10, 49]
Generated Node #0,2,2: 80:[10, 49] Operation: 77-28=49
Exploring Operation: 28-10=18, Resulting Numbers: [77, 18]
Generated Node #0,2,3: 80:[77, 18] Operation: 28-10=18
Moving to Node #0,0
Current State: 80:[77, 29, 9], Operations: ['28-19=9']
Exploring Operation: 77+9=86, Resulting Numbers: [29, 86]
Generated Node #0,0,0: 80:[29, 86] Operation: 77+9=86
Exploring Operation: 77-29=48, Resulting Numbers: [9, 48]
Generated Node #0,0,1: 80:[9, 48] Operation: 77-29=48
Exploring Operation: 29+9=38, Resulting Numbers: [77, 38]
Generated Node #0,0,2: 80:[77, 38] Operation: 29+9=38
Exploring Operation: 29-9=20, Resulting Numbers: [77, 20]
Generated Node #0,0,3: 80:[77, 20] Operation: 29-9=20
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 80:[77, 20], Operations: ['28-19=9', '29-9=20']
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,80 unequal: No Solution
Exploring Operation: 77*20=1540, Resulting Numbers: [1540]
1540,80 unequal: No Solution
Exploring Operation: 77+20=97, Resulting Numbers: [97]
97,80 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 #0,0,2
Current State: 80:[77, 38], Operations: ['28-19=9', '29+9=38']
Exploring Operation: 77*38=2926, Resulting Numbers: [2926]
2926,80 unequal: No Solution
Exploring Operation: 77+38=115, Resulting Numbers: [115]
115,80 unequal: No Solution
Exploring Operation: 77-38=39, Resulting Numbers: [39]
39,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[9, 48], Operations: ['28-19=9', '77-29=48']
Exploring Operation: 9*48=432, Resulting Numbers: [432]
432,80 unequal: No Solution
Exploring Operation: 9+48=57, Resulting Numbers: [57]
57,80 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,80 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:[29, 86], Operations: ['28-19=9', '77+9=86']
Exploring Operation: 29+86=115, Resulting Numbers: [115]
115,80 unequal: No Solution
Exploring Operation: 29*86=2494, Resulting Numbers: [2494]
2494,80 unequal: No Solution
Exploring Operation: 86-29=57, Resulting Numbers: [57]
57,80 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: 80:[28, 19, 48], Operations: ['77-29=48']
Exploring Operation: 28+19=47, Resulting Numbers: [48, 47]
Generated Node #0,1,0: 80:[48, 47] Operation: 28+19=47
Exploring Operation: 28-19=9, Resulting Numbers: [48, 9]
Generated Node #0,1,1: 80:[48, 9] Operation: 28-19=9
Exploring Operation: 28+48=76, Resulting Numbers: [19, 76]
Generated Node #0,1,2: 80:[19, 76] Operation: 28+48=76
Exploring Operation: 48-28=20, Resulting Numbers: [19, 20]
Generated Node #0,1,3: 80:[19, 20] Operation: 48-28=20
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 80:[19, 20], Operations: ['77-29=48', '48-28=20']
Exploring Operation: 19+20=39, Resulting Numbers: [39]
39,80 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 19*20=380, Resulting Numbers: [380]
380,80 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 #0,1,2
Current State: 80:[19, 76], Operations: ['77-29=48', '28+48=76']
Exploring Operation: 19+76=95, Resulting Numbers: [95]
95,80 unequal: No Solution
Exploring Operation: 76/19=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,80 unequal: No Solution
Exploring Operation: 19*76=1444, Resulting Numbers: [1444]
1444,80 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:[48, 9], Operations: ['77-29=48', '28-19=9']
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,80 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,80 unequal: No Solution
Exploring Operation: 48*9=432, Resulting Numbers: [432]
432,80 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 #0,1,0
Current State: 80:[48, 47], Operations: ['77-29=48', '28+19=47']
Exploring Operation: 48+47=95, Resulting Numbers: [95]
95,80 unequal: No Solution
Exploring Operation: 48-47=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 48*47=2256, Resulting Numbers: [2256]
2256,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 80:[19, 78], Operations: ['29-28=1', '77+1=78']
Exploring Operation: 78-19=59, Resulting Numbers: [59]
59,80 unequal: No Solution
Exploring Operation: 19+78=97, Resulting Numbers: [97]
97,80 unequal: No Solution
Exploring Operation: 19*78=1482, Resulting Numbers: [1482]
1482,80 unequal: No Solution
Moving to Node #0,3,1
Current State: 80:[77, 20], Operations: ['29-28=1', '19+1=20']
Exploring Operation: 77+20=97, Resulting Numbers: [97]
97,80 unequal: No Solution
Exploring Operation: 77*20=1540, Resulting Numbers: [1540]
1540,80 unequal: No Solution
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,80 unequal: No Solution
Moving to Node #0,3,2
Current State: 80:[19, 77], Operations: ['29-28=1', '77*1=77']
Exploring Operation: 19*77=1463, Resulting Numbers: [1463]
1463,80 unequal: No Solution
Exploring Operation: 77-19=58, Resulting Numbers: [58]
58,80 unequal: No Solution
Exploring Operation: 19+77=96, Resulting Numbers: [96]
96,80 unequal: No Solution
Moving to Node #0,3,3
Current State: 80:[19, 77], Operations: ['29-28=1', '77/1=77']
Exploring Operation: 19+77=96, Resulting Numbers: [96]
96,80 unequal: No Solution
Exploring Operation: 19*77=1463, Resulting Numbers: [1463]
1463,80 unequal: No Solution
Exploring Operation: 77-19=58, Resulting Numbers: [58]
58,80 unequal: No Solution
Moving to Node #0,2,3
Current State: 80:[77, 18], Operations: ['29-19=10', '28-10=18']
Exploring Operation: 77-18=59, Resulting Numbers: [59]
59,80 unequal: No Solution
Exploring Operation: 77*18=1386, Resulting Numbers: [1386]
1386,80 unequal: No Solution
Exploring Operation: 77+18=95, Resulting Numbers: [95]
95,80 unequal: No Solution
Moving to Node #0,2,0
Current State: 80:[77, 38], Operations: ['29-19=10', '28+10=38']
Exploring Operation: 77*38=2926, Resulting Numbers: [2926]
2926,80 unequal: No Solution
Exploring Operation: 77-38=39, Resulting Numbers: [39]
39,80 unequal: No Solution
Exploring Operation: 77+38=115, Resulting Numbers: [115]
115,80 unequal: No Solution
Moving to Node #0,2,2
Current State: 80:[10, 49], Operations: ['29-19=10', '77-28=49']
Exploring Operation: 10+49=59, Resulting Numbers: [59]
59,80 unequal: No Solution
Exploring Operation: 10*49=490, Resulting Numbers: [490]
490,80 unequal: No Solution
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[28, 87], Operations: ['29-19=10', '77+10=87']
Exploring Operation: 28+87=115, Resulting Numbers: [115]
115,80 unequal: No Solution
Exploring Operation: 87-28=59, Resulting Numbers: [59]
59,80 unequal: No Solution
Exploring Operation: 28*87=2436, Resulting Numbers: [2436]
2436,80 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
15,
24,
48,
29
] | 59 | [
"15*48=720",
"720/24=30",
"29+30=59"
] | Current State: 59:[15, 24, 48, 29], Operations: []
Exploring Operation: 15*48=720, Resulting Numbers: [24, 29, 720]
Generated Node #2: [24, 29, 720] from Operation: 15*48=720
Current State: 59:[24, 29, 720], Operations: ['15*48=720']
Exploring Operation: 720/24=30, Resulting Numbers: [29, 30]
Generated Node #3: [29, 30] from Operation: 720/24=30
Current State: 59:[29, 30], Operations: ['15*48=720', '720/24=30']
Exploring Operation: 29+30=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[15, 24, 48, 29], Operations: []
Exploring Operation: 15+24=39, Resulting Numbers: [48, 29, 39]
Generated Node #0,0: 59:[48, 29, 39] Operation: 15+24=39
Exploring Operation: 15+29=44, Resulting Numbers: [24, 48, 44]
Generated Node #0,1: 59:[24, 48, 44] Operation: 15+29=44
Moving to Node #0,0
Current State: 59:[48, 29, 39], Operations: ['15+24=39']
Exploring Operation: 29+39=68, Resulting Numbers: [48, 68]
Generated Node #0,0,0: 59:[48, 68] Operation: 29+39=68
Exploring Operation: 48+29=77, Resulting Numbers: [39, 77]
Generated Node #0,0,1: 59:[39, 77] Operation: 48+29=77
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[48, 68], Operations: ['15+24=39', '29+39=68']
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Exploring Operation: 48+68=116, Resulting Numbers: [116]
116,59 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:[39, 77], Operations: ['15+24=39', '48+29=77']
Exploring Operation: 77-39=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 39+77=116, Resulting Numbers: [116]
116,59 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: 59:[24, 48, 44], Operations: ['15+29=44']
Exploring Operation: 24+44=68, Resulting Numbers: [48, 68]
Generated Node #0,1,0: 59:[48, 68] Operation: 24+44=68
Exploring Operation: 24+48=72, Resulting Numbers: [44, 72]
Generated Node #0,1,1: 59:[44, 72] Operation: 24+48=72
Moving to Node #0,1,0
Current State: 59:[48, 68], Operations: ['15+29=44', '24+44=68']
Exploring Operation: 48+68=116, Resulting Numbers: [116]
116,59 unequal: No Solution
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[44, 72], Operations: ['15+29=44', '24+48=72']
Exploring Operation: 72-44=28, Resulting Numbers: [28]
28,59 unequal: No Solution
Exploring Operation: 44+72=116, Resulting Numbers: [116]
116,59 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
92,
58,
91,
87
] | 30 | [
"92-58=34",
"91-87=4",
"34-4=30"
] | Current State: 30:[92, 58, 91, 87], Operations: []
Exploring Operation: 92-58=34, Resulting Numbers: [91, 87, 34]
Generated Node #2: [91, 87, 34] from Operation: 92-58=34
Current State: 30:[91, 87, 34], Operations: ['92-58=34']
Exploring Operation: 91-87=4, Resulting Numbers: [34, 4]
Generated Node #3: [34, 4] from Operation: 91-87=4
Current State: 30:[34, 4], Operations: ['92-58=34', '91-87=4']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[92, 58, 91, 87], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [58, 91, 5]
Generated Node #0,0: 30:[58, 91, 5] Operation: 92-87=5
Exploring Operation: 92-91=1, Resulting Numbers: [58, 87, 1]
Generated Node #0,1: 30:[58, 87, 1] Operation: 92-91=1
Exploring Operation: 92-58=34, Resulting Numbers: [91, 87, 34]
Generated Node #0,2: 30:[91, 87, 34] Operation: 92-58=34
Exploring Operation: 91-58=33, Resulting Numbers: [92, 87, 33]
Generated Node #0,3: 30:[92, 87, 33] Operation: 91-58=33
Exploring Operation: 91-87=4, Resulting Numbers: [92, 58, 4]
Generated Node #0,4: 30:[92, 58, 4] Operation: 91-87=4
Moving to Node #0,1
Current State: 30:[58, 87, 1], Operations: ['92-91=1']
Exploring Operation: 58-1=57, Resulting Numbers: [87, 57]
Generated Node #0,1,0: 30:[87, 57] Operation: 58-1=57
Exploring Operation: 87-58=29, Resulting Numbers: [1, 29]
Generated Node #0,1,1: 30:[1, 29] Operation: 87-58=29
Exploring Operation: 87-1=86, Resulting Numbers: [58, 86]
Generated Node #0,1,2: 30:[58, 86] Operation: 87-1=86
Exploring Operation: 58*1=58, Resulting Numbers: [87, 58]
Generated Node #0,1,3: 30:[87, 58] Operation: 58*1=58
Exploring Operation: 58/1=58, Resulting Numbers: [87, 58]
Generated Node #0,1,4: 30:[87, 58] Operation: 58/1=58
Moving to Node #0,0
Current State: 30:[58, 91, 5], Operations: ['92-87=5']
Exploring Operation: 58-5=53, Resulting Numbers: [91, 53]
Generated Node #0,0,0: 30:[91, 53] Operation: 58-5=53
Exploring Operation: 91+5=96, Resulting Numbers: [58, 96]
Generated Node #0,0,1: 30:[58, 96] Operation: 91+5=96
Exploring Operation: 58+5=63, Resulting Numbers: [91, 63]
Generated Node #0,0,2: 30:[91, 63] Operation: 58+5=63
Exploring Operation: 91-58=33, Resulting Numbers: [5, 33]
Generated Node #0,0,3: 30:[5, 33] Operation: 91-58=33
Exploring Operation: 91-5=86, Resulting Numbers: [58, 86]
Generated Node #0,0,4: 30:[58, 86] Operation: 91-5=86
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 30:[5, 33], Operations: ['92-87=5', '91-58=33']
Exploring Operation: 5*33=165, Resulting Numbers: [165]
165,30 unequal: No Solution
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,30 unequal: No Solution
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[91, 53], Operations: ['92-87=5', '58-5=53']
Exploring Operation: 91*53=4823, Resulting Numbers: [4823]
4823,30 unequal: No Solution
Exploring Operation: 91+53=144, Resulting Numbers: [144]
144,30 unequal: No Solution
Exploring Operation: 91-53=38, Resulting Numbers: [38]
38,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 30:[58, 86], Operations: ['92-87=5', '91-5=86']
Exploring Operation: 86-58=28, Resulting Numbers: [28]
28,30 unequal: No Solution
Exploring Operation: 58+86=144, Resulting Numbers: [144]
144,30 unequal: No Solution
Exploring Operation: 58*86=4988, Resulting Numbers: [4988]
4988,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 30:[58, 96], Operations: ['92-87=5', '91+5=96']
Exploring Operation: 96-58=38, Resulting Numbers: [38]
38,30 unequal: No Solution
Exploring Operation: 58+96=154, Resulting Numbers: [154]
154,30 unequal: No Solution
Exploring Operation: 58*96=5568, Resulting Numbers: [5568]
5568,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 30:[91, 63], Operations: ['92-87=5', '58+5=63']
Exploring Operation: 91+63=154, Resulting Numbers: [154]
154,30 unequal: No Solution
Exploring Operation: 91-63=28, Resulting Numbers: [28]
28,30 unequal: No Solution
Exploring Operation: 91*63=5733, Resulting Numbers: [5733]
5733,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 30:[92, 58, 4], Operations: ['91-87=4']
Exploring Operation: 92/4=23, Resulting Numbers: [58, 23]
Generated Node #0,4,0: 30:[58, 23] Operation: 92/4=23
Exploring Operation: 58-4=54, Resulting Numbers: [92, 54]
Generated Node #0,4,1: 30:[92, 54] Operation: 58-4=54
Exploring Operation: 92-4=88, Resulting Numbers: [58, 88]
Generated Node #0,4,2: 30:[58, 88] Operation: 92-4=88
Exploring Operation: 92-58=34, Resulting Numbers: [4, 34]
Generated Node #0,4,3: 30:[4, 34] Operation: 92-58=34
Exploring Operation: 92+4=96, Resulting Numbers: [58, 96]
Generated Node #0,4,4: 30:[58, 96] Operation: 92+4=96
Moving to Node #0,2
Current State: 30:[91, 87, 34], Operations: ['92-58=34']
Exploring Operation: 87-34=53, Resulting Numbers: [91, 53]
Generated Node #0,2,0: 30:[91, 53] Operation: 87-34=53
Exploring Operation: 91+34=125, Resulting Numbers: [87, 125]
Generated Node #0,2,1: 30:[87, 125] Operation: 91+34=125
Exploring Operation: 91+87=178, Resulting Numbers: [34, 178]
Generated Node #0,2,2: 30:[34, 178] Operation: 91+87=178
Exploring Operation: 91-87=4, Resulting Numbers: [34, 4]
Generated Node #0,2,3: 30:[34, 4] Operation: 91-87=4
Exploring Operation: 91-34=57, Resulting Numbers: [87, 57]
Generated Node #0,2,4: 30:[87, 57] Operation: 91-34=57
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 30:[34, 4], Operations: ['92-58=34', '91-87=4']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[92, 58, 91, 87], Operations: []
Exploring Operation: 92-58=34, Resulting Numbers: [91, 87, 34]
Generated Node #0,2: 30:[91, 87, 34] Operation: 92-58=34
Moving to Node #0,2
Current State: 30:[91, 87, 34], Operations: ['92-58=34']
Exploring Operation: 91-87=4, Resulting Numbers: [34, 4]
Generated Node #0,2,3: 30:[34, 4] Operation: 91-87=4
Moving to Node #0,2,3
Current State: 30:[34, 4], Operations: ['92-58=34', '91-87=4']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.960938 | hs_5 | mult_heuristic |
[
44,
11,
83,
4
] | 82 | [
"44/11=4",
"4/4=1",
"83-1=82"
] | Current State: 82:[44, 11, 83, 4], Operations: []
Exploring Operation: 44/11=4, Resulting Numbers: [83, 4, 4]
Generated Node #2: [83, 4, 4] from Operation: 44/11=4
Current State: 82:[83, 4, 4], Operations: ['44/11=4']
Exploring Operation: 4/4=1, Resulting Numbers: [83, 1]
Generated Node #3: [83, 1] from Operation: 4/4=1
Current State: 82:[83, 1], Operations: ['44/11=4', '4/4=1']
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[44, 11, 83, 4], Operations: []
Exploring Operation: 44/11=4, Resulting Numbers: [83, 4, 4]
Generated Node #0,0: 82:[83, 4, 4] Operation: 44/11=4
Exploring Operation: 44-4=40, Resulting Numbers: [11, 83, 40]
Generated Node #0,1: 82:[11, 83, 40] Operation: 44-4=40
Exploring Operation: 44-11=33, Resulting Numbers: [83, 4, 33]
Generated Node #0,2: 82:[83, 4, 33] Operation: 44-11=33
Exploring Operation: 11*4=44, Resulting Numbers: [44, 83, 44]
Generated Node #0,3: 82:[44, 83, 44] Operation: 11*4=44
Exploring Operation: 11-4=7, Resulting Numbers: [44, 83, 7]
Generated Node #0,4: 82:[44, 83, 7] Operation: 11-4=7
Moving to Node #0,0
Current State: 82:[83, 4, 4], Operations: ['44/11=4']
Exploring Operation: 83-4=79, Resulting Numbers: [4, 79]
Generated Node #0,0,0: 82:[4, 79] Operation: 83-4=79
Exploring Operation: 83+4=87, Resulting Numbers: [4, 87]
Generated Node #0,0,1: 82:[4, 87] Operation: 83+4=87
Exploring Operation: 83-4=79, Resulting Numbers: [4, 79]
Generated Node #0,0,2: 82:[4, 79] Operation: 83-4=79
Exploring Operation: 4/4=1, Resulting Numbers: [83, 1]
Generated Node #0,0,3: 82:[83, 1] Operation: 4/4=1
Exploring Operation: 4-4=0, Resulting Numbers: [83, 0]
Generated Node #0,0,4: 82:[83, 0] Operation: 4-4=0
Moving to Node #0,3
Current State: 82:[44, 83, 44], Operations: ['11*4=44']
Exploring Operation: 44/44=1, Resulting Numbers: [83, 1]
Generated Node #0,3,0: 82:[83, 1] Operation: 44/44=1
Exploring Operation: 44-44=0, Resulting Numbers: [83, 0]
Generated Node #0,3,1: 82:[83, 0] Operation: 44-44=0
Exploring Operation: 44+44=88, Resulting Numbers: [83, 88]
Generated Node #0,3,2: 82:[83, 88] Operation: 44+44=88
Exploring Operation: 83-44=39, Resulting Numbers: [44, 39]
Generated Node #0,3,3: 82:[44, 39] Operation: 83-44=39
Exploring Operation: 83-44=39, Resulting Numbers: [44, 39]
Generated Node #0,3,4: 82:[44, 39] Operation: 83-44=39
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 82:[83, 1], Operations: ['11*4=44', '44/44=1']
Exploring Operation: 83+1=84, Resulting Numbers: [84]
84,82 unequal: No Solution
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Exploring Operation: 83/1=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[44, 11, 83, 4], Operations: []
Exploring Operation: 11*4=44, Resulting Numbers: [44, 83, 44]
Generated Node #0,3: 82:[44, 83, 44] Operation: 11*4=44
Moving to Node #0,3
Current State: 82:[44, 83, 44], Operations: ['11*4=44']
Exploring Operation: 44/44=1, Resulting Numbers: [83, 1]
Generated Node #0,3,0: 82:[83, 1] Operation: 44/44=1
Moving to Node #0,3,0
Current State: 82:[83, 1], Operations: ['11*4=44', '44/44=1']
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
23,
34,
11,
97
] | 96 | [
"34-23=11",
"11/11=1",
"97-1=96"
] | Current State: 96:[23, 34, 11, 97], Operations: []
Exploring Operation: 34-23=11, Resulting Numbers: [11, 97, 11]
Generated Node #2: [11, 97, 11] from Operation: 34-23=11
Current State: 96:[11, 97, 11], Operations: ['34-23=11']
Exploring Operation: 11/11=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 11/11=1
Current State: 96:[97, 1], Operations: ['34-23=11', '11/11=1']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[23, 34, 11, 97], Operations: []
Exploring Operation: 34-23=11, Resulting Numbers: [11, 97, 11]
Generated Node #0,0: 96:[11, 97, 11] Operation: 34-23=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[11, 97, 11], Operations: ['34-23=11']
Exploring Operation: 11/11=1, Resulting Numbers: [97, 1]
Generated Node #0,0,0: 96:[97, 1] Operation: 11/11=1
Moving to Node #0,0,0
Current State: 96:[97, 1], Operations: ['34-23=11', '11/11=1']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[23, 34, 11, 97], Operations: []
Exploring Operation: 34-23=11, Resulting Numbers: [11, 97, 11]
Generated Node #0,0: 96:[11, 97, 11] Operation: 34-23=11
Moving to Node #0,0
Current State: 96:[11, 97, 11], Operations: ['34-23=11']
Exploring Operation: 11/11=1, Resulting Numbers: [97, 1]
Generated Node #0,0,0: 96:[97, 1] Operation: 11/11=1
Moving to Node #0,0,0
Current State: 96:[97, 1], Operations: ['34-23=11', '11/11=1']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
51,
1,
37,
58
] | 30 | [
"51*1=51",
"58-37=21",
"51-21=30"
] | Current State: 30:[51, 1, 37, 58], Operations: []
Exploring Operation: 51*1=51, Resulting Numbers: [37, 58, 51]
Generated Node #2: [37, 58, 51] from Operation: 51*1=51
Current State: 30:[37, 58, 51], Operations: ['51*1=51']
Exploring Operation: 58-37=21, Resulting Numbers: [51, 21]
Generated Node #3: [51, 21] from Operation: 58-37=21
Current State: 30:[51, 21], Operations: ['51*1=51', '58-37=21']
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[51, 1, 37, 58], Operations: []
Exploring Operation: 51-1=50, Resulting Numbers: [37, 58, 50]
Generated Node #0,0: 30:[37, 58, 50] Operation: 51-1=50
Exploring Operation: 58-37=21, Resulting Numbers: [51, 1, 21]
Generated Node #0,1: 30:[51, 1, 21] Operation: 58-37=21
Exploring Operation: 58-51=7, Resulting Numbers: [1, 37, 7]
Generated Node #0,2: 30:[1, 37, 7] Operation: 58-51=7
Exploring Operation: 51-37=14, Resulting Numbers: [1, 58, 14]
Generated Node #0,3: 30:[1, 58, 14] Operation: 51-37=14
Exploring Operation: 37-1=36, Resulting Numbers: [51, 58, 36]
Generated Node #0,4: 30:[51, 58, 36] Operation: 37-1=36
Start Sub Search at level 1: Moving to Node #0,2
Current State: 30:[1, 37, 7], Operations: ['58-51=7']
Exploring Operation: 37-7=30, Resulting Numbers: [1, 30]
Generated Node #0,2,0: 30:[1, 30] Operation: 37-7=30
Exploring Operation: 37-1=36, Resulting Numbers: [7, 36]
Generated Node #0,2,1: 30:[7, 36] Operation: 37-1=36
Exploring Operation: 37/1=37, Resulting Numbers: [7, 37]
Generated Node #0,2,2: 30:[7, 37] Operation: 37/1=37
Exploring Operation: 1*37=37, Resulting Numbers: [7, 37]
Generated Node #0,2,3: 30:[7, 37] Operation: 1*37=37
Exploring Operation: 7-1=6, Resulting Numbers: [37, 6]
Generated Node #0,2,4: 30:[37, 6] Operation: 7-1=6
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 30:[1, 30], Operations: ['58-51=7', '37-7=30']
Exploring Operation: 1+30=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 1*30=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[51, 1, 37, 58], Operations: []
Exploring Operation: 58-51=7, Resulting Numbers: [1, 37, 7]
Generated Node #0,2: 30:[1, 37, 7] Operation: 58-51=7
Moving to Node #0,2
Current State: 30:[1, 37, 7], Operations: ['58-51=7']
Exploring Operation: 37-7=30, Resulting Numbers: [1, 30]
Generated Node #0,2,0: 30:[1, 30] Operation: 37-7=30
Moving to Node #0,2,0
Current State: 30:[1, 30], Operations: ['58-51=7', '37-7=30']
Exploring Operation: 1*30=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
70,
90,
12,
51
] | 68 | [
"90+12=102",
"102/51=2",
"70-2=68"
] | Current State: 68:[70, 90, 12, 51], Operations: []
Exploring Operation: 90+12=102, Resulting Numbers: [70, 51, 102]
Generated Node #2: [70, 51, 102] from Operation: 90+12=102
Current State: 68:[70, 51, 102], Operations: ['90+12=102']
Exploring Operation: 102/51=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 102/51=2
Current State: 68:[70, 2], Operations: ['90+12=102', '102/51=2']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[70, 90, 12, 51], Operations: []
Exploring Operation: 90-51=39, Resulting Numbers: [70, 12, 39]
Generated Node #0,0: 68:[70, 12, 39] Operation: 90-51=39
Exploring Operation: 90-70=20, Resulting Numbers: [12, 51, 20]
Generated Node #0,1: 68:[12, 51, 20] Operation: 90-70=20
Moving to Node #0,0
Current State: 68:[70, 12, 39], Operations: ['90-51=39']
Exploring Operation: 70-39=31, Resulting Numbers: [12, 31]
Generated Node #0,0,0: 68:[12, 31] Operation: 70-39=31
Exploring Operation: 39-12=27, Resulting Numbers: [70, 27]
Generated Node #0,0,1: 68:[70, 27] Operation: 39-12=27
Moving to Node #0,1
Current State: 68:[12, 51, 20], Operations: ['90-70=20']
Exploring Operation: 12+51=63, Resulting Numbers: [20, 63]
Generated Node #0,1,0: 68:[20, 63] Operation: 12+51=63
Exploring Operation: 51-12=39, Resulting Numbers: [20, 39]
Generated Node #0,1,1: 68:[20, 39] Operation: 51-12=39
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[20, 63], Operations: ['90-70=20', '12+51=63']
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,68 unequal: No Solution
Exploring Operation: 20+63=83, Resulting Numbers: [83]
83,68 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 #0,1,1
Current State: 68:[20, 39], Operations: ['90-70=20', '51-12=39']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,68 unequal: No Solution
Exploring Operation: 20+39=59, Resulting Numbers: [59]
59,68 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: 68:[12, 31], Operations: ['90-51=39', '70-39=31']
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,68 unequal: No Solution
Exploring Operation: 12+31=43, Resulting Numbers: [43]
43,68 unequal: No Solution
Moving to Node #0,0,1
Current State: 68:[70, 27], Operations: ['90-51=39', '39-12=27']
Exploring Operation: 70+27=97, Resulting Numbers: [97]
97,68 unequal: No Solution
Exploring Operation: 70-27=43, Resulting Numbers: [43]
43,68 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
8,
41,
45,
70
] | 82 | [
"41-8=33",
"45+70=115",
"115-33=82"
] | Current State: 82:[8, 41, 45, 70], Operations: []
Exploring Operation: 41-8=33, Resulting Numbers: [45, 70, 33]
Generated Node #2: [45, 70, 33] from Operation: 41-8=33
Current State: 82:[45, 70, 33], Operations: ['41-8=33']
Exploring Operation: 45+70=115, Resulting Numbers: [33, 115]
Generated Node #3: [33, 115] from Operation: 45+70=115
Current State: 82:[33, 115], Operations: ['41-8=33', '45+70=115']
Exploring Operation: 115-33=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[8, 41, 45, 70], Operations: []
Exploring Operation: 8+70=78, Resulting Numbers: [41, 45, 78]
Generated Node #0,0: 82:[41, 45, 78] Operation: 8+70=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[41, 45, 78], Operations: ['8+70=78']
Exploring Operation: 45-41=4, Resulting Numbers: [78, 4]
Generated Node #0,0,0: 82:[78, 4] Operation: 45-41=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[78, 4], Operations: ['8+70=78', '45-41=4']
Exploring Operation: 78+4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[8, 41, 45, 70], Operations: []
Exploring Operation: 8+70=78, Resulting Numbers: [41, 45, 78]
Generated Node #0,0: 82:[41, 45, 78] Operation: 8+70=78
Moving to Node #0,0
Current State: 82:[41, 45, 78], Operations: ['8+70=78']
Exploring Operation: 45-41=4, Resulting Numbers: [78, 4]
Generated Node #0,0,0: 82:[78, 4] Operation: 45-41=4
Moving to Node #0,0,0
Current State: 82:[78, 4], Operations: ['8+70=78', '45-41=4']
Exploring Operation: 78+4=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
97,
91,
90,
29
] | 84 | [
"97-91=6",
"29*6=174",
"174-90=84"
] | Current State: 84:[97, 91, 90, 29], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [90, 29, 6]
Generated Node #2: [90, 29, 6] from Operation: 97-91=6
Current State: 84:[90, 29, 6], Operations: ['97-91=6']
Exploring Operation: 29*6=174, Resulting Numbers: [90, 174]
Generated Node #3: [90, 174] from Operation: 29*6=174
Current State: 84:[90, 174], Operations: ['97-91=6', '29*6=174']
Exploring Operation: 174-90=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[97, 91, 90, 29], Operations: []
Exploring Operation: 91-90=1, Resulting Numbers: [97, 29, 1]
Generated Node #0,0: 84:[97, 29, 1] Operation: 91-90=1
Exploring Operation: 97-90=7, Resulting Numbers: [91, 29, 7]
Generated Node #0,1: 84:[91, 29, 7] Operation: 97-90=7
Exploring Operation: 97-91=6, Resulting Numbers: [90, 29, 6]
Generated Node #0,2: 84:[90, 29, 6] Operation: 97-91=6
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[90, 29, 6], Operations: ['97-91=6']
Exploring Operation: 29-6=23, Resulting Numbers: [90, 23]
Generated Node #0,2,0: 84:[90, 23] Operation: 29-6=23
Exploring Operation: 90/6=15, Resulting Numbers: [29, 15]
Generated Node #0,2,1: 84:[29, 15] Operation: 90/6=15
Exploring Operation: 90-6=84, Resulting Numbers: [29, 84]
Generated Node #0,2,2: 84:[29, 84] Operation: 90-6=84
Moving to Node #0,2,2
Current State: 84:[29, 84], Operations: ['97-91=6', '90-6=84']
Exploring Operation: 29*84=2436, Resulting Numbers: [2436]
2436,84 unequal: No Solution
Exploring Operation: 84-29=55, Resulting Numbers: [55]
55,84 unequal: No Solution
Exploring Operation: 29+84=113, Resulting Numbers: [113]
113,84 unequal: No Solution
Moving to Node #0,2,1
Current State: 84:[29, 15], Operations: ['97-91=6', '90/6=15']
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,84 unequal: No Solution
Exploring Operation: 29*15=435, Resulting Numbers: [435]
435,84 unequal: No Solution
Exploring Operation: 29+15=44, Resulting Numbers: [44]
44,84 unequal: No Solution
Moving to Node #0,2,0
Current State: 84:[90, 23], Operations: ['97-91=6', '29-6=23']
Exploring Operation: 90*23=2070, Resulting Numbers: [2070]
2070,84 unequal: No Solution
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,84 unequal: No Solution
Exploring Operation: 90+23=113, Resulting Numbers: [113]
113,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[91, 29, 7], Operations: ['97-90=7']
Exploring Operation: 91/7=13, Resulting Numbers: [29, 13]
Generated Node #0,1,0: 84:[29, 13] Operation: 91/7=13
Exploring Operation: 29-7=22, Resulting Numbers: [91, 22]
Generated Node #0,1,1: 84:[91, 22] Operation: 29-7=22
Exploring Operation: 91-7=84, Resulting Numbers: [29, 84]
Generated Node #0,1,2: 84:[29, 84] Operation: 91-7=84
Moving to Node #0,1,2
Current State: 84:[29, 84], Operations: ['97-90=7', '91-7=84']
Exploring Operation: 29+84=113, Resulting Numbers: [113]
113,84 unequal: No Solution
Exploring Operation: 29*84=2436, Resulting Numbers: [2436]
2436,84 unequal: No Solution
Exploring Operation: 84-29=55, Resulting Numbers: [55]
55,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[29, 13], Operations: ['97-90=7', '91/7=13']
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,84 unequal: No Solution
Exploring Operation: 29*13=377, Resulting Numbers: [377]
377,84 unequal: No Solution
Exploring Operation: 29+13=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[91, 22], Operations: ['97-90=7', '29-7=22']
Exploring Operation: 91*22=2002, Resulting Numbers: [2002]
2002,84 unequal: No Solution
Exploring Operation: 91-22=69, Resulting Numbers: [69]
69,84 unequal: No Solution
Exploring Operation: 91+22=113, Resulting Numbers: [113]
113,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[97, 29, 1], Operations: ['91-90=1']
Exploring Operation: 29-1=28, Resulting Numbers: [97, 28]
Generated Node #0,0,0: 84:[97, 28] Operation: 29-1=28
Exploring Operation: 97*1=97, Resulting Numbers: [29, 97]
Generated Node #0,0,1: 84:[29, 97] Operation: 97*1=97
Exploring Operation: 97-1=96, Resulting Numbers: [29, 96]
Generated Node #0,0,2: 84:[29, 96] Operation: 97-1=96
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[97, 28], Operations: ['91-90=1', '29-1=28']
Exploring Operation: 97+28=125, Resulting Numbers: [125]
125,84 unequal: No Solution
Exploring Operation: 97*28=2716, Resulting Numbers: [2716]
2716,84 unequal: No Solution
Exploring Operation: 97-28=69, Resulting Numbers: [69]
69,84 unequal: No Solution
No 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: 84:[29, 96], Operations: ['91-90=1', '97-1=96']
Exploring Operation: 29*96=2784, Resulting Numbers: [2784]
2784,84 unequal: No Solution
Exploring Operation: 29+96=125, Resulting Numbers: [125]
125,84 unequal: No Solution
Exploring Operation: 96-29=67, Resulting Numbers: [67]
67,84 unequal: No Solution
No 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: 84:[29, 97], Operations: ['91-90=1', '97*1=97']
Exploring Operation: 29+97=126, Resulting Numbers: [126]
126,84 unequal: No Solution
Exploring Operation: 97-29=68, Resulting Numbers: [68]
68,84 unequal: No Solution
Exploring Operation: 29*97=2813, Resulting Numbers: [2813]
2813,84 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 |
[
3,
32,
20,
30
] | 46 | [
"3*32=96",
"20+30=50",
"96-50=46"
] | Current State: 46:[3, 32, 20, 30], Operations: []
Exploring Operation: 3*32=96, Resulting Numbers: [20, 30, 96]
Generated Node #2: [20, 30, 96] from Operation: 3*32=96
Current State: 46:[20, 30, 96], Operations: ['3*32=96']
Exploring Operation: 20+30=50, Resulting Numbers: [96, 50]
Generated Node #3: [96, 50] from Operation: 20+30=50
Current State: 46:[96, 50], Operations: ['3*32=96', '20+30=50']
Exploring Operation: 96-50=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[3, 32, 20, 30], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [3, 20, 2]
Generated Node #0,0: 46:[3, 20, 2] Operation: 32-30=2
Exploring Operation: 32-3=29, Resulting Numbers: [20, 30, 29]
Generated Node #0,1: 46:[20, 30, 29] Operation: 32-3=29
Exploring Operation: 20+30=50, Resulting Numbers: [3, 32, 50]
Generated Node #0,2: 46:[3, 32, 50] Operation: 20+30=50
Exploring Operation: 32+20=52, Resulting Numbers: [3, 30, 52]
Generated Node #0,3: 46:[3, 30, 52] Operation: 32+20=52
Moving to Node #0,0
Current State: 46:[3, 20, 2], Operations: ['32-30=2']
Exploring Operation: 20+2=22, Resulting Numbers: [3, 22]
Generated Node #0,0,0: 46:[3, 22] Operation: 20+2=22
Exploring Operation: 3+20=23, Resulting Numbers: [2, 23]
Generated Node #0,0,1: 46:[2, 23] Operation: 3+20=23
Exploring Operation: 20-3=17, Resulting Numbers: [2, 17]
Generated Node #0,0,2: 46:[2, 17] Operation: 20-3=17
Exploring Operation: 3-2=1, Resulting Numbers: [20, 1]
Generated Node #0,0,3: 46:[20, 1] Operation: 3-2=1
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 46:[2, 23], Operations: ['32-30=2', '3+20=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[3, 32, 20, 30], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [3, 20, 2]
Generated Node #0,0: 46:[3, 20, 2] Operation: 32-30=2
Moving to Node #0,0
Current State: 46:[3, 20, 2], Operations: ['32-30=2']
Exploring Operation: 3+20=23, Resulting Numbers: [2, 23]
Generated Node #0,0,1: 46:[2, 23] Operation: 3+20=23
Moving to Node #0,0,1
Current State: 46:[2, 23], Operations: ['32-30=2', '3+20=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
13,
29,
80,
76
] | 81 | [
"29-13=16",
"80/16=5",
"76+5=81"
] | Current State: 81:[13, 29, 80, 76], Operations: []
Exploring Operation: 29-13=16, Resulting Numbers: [80, 76, 16]
Generated Node #2: [80, 76, 16] from Operation: 29-13=16
Current State: 81:[80, 76, 16], Operations: ['29-13=16']
Exploring Operation: 80/16=5, Resulting Numbers: [76, 5]
Generated Node #3: [76, 5] from Operation: 80/16=5
Current State: 81:[76, 5], Operations: ['29-13=16', '80/16=5']
Exploring Operation: 76+5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[13, 29, 80, 76], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [13, 29, 4]
Generated Node #0,0: 81:[13, 29, 4] Operation: 80-76=4
Moving to Node #0,0
Current State: 81:[13, 29, 4], Operations: ['80-76=4']
Exploring Operation: 13-4=9, Resulting Numbers: [29, 9]
Generated Node #0,0,0: 81:[29, 9] Operation: 13-4=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[29, 9], Operations: ['80-76=4', '13-4=9']
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,81 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 |
[
62,
17,
66,
6
] | 62 | [
"66-62=4",
"17*4=68",
"68-6=62"
] | Current State: 62:[62, 17, 66, 6], Operations: []
Exploring Operation: 66-62=4, Resulting Numbers: [17, 6, 4]
Generated Node #2: [17, 6, 4] from Operation: 66-62=4
Current State: 62:[17, 6, 4], Operations: ['66-62=4']
Exploring Operation: 17*4=68, Resulting Numbers: [6, 68]
Generated Node #3: [6, 68] from Operation: 17*4=68
Current State: 62:[6, 68], Operations: ['66-62=4', '17*4=68']
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[62, 17, 66, 6], Operations: []
Exploring Operation: 17+6=23, Resulting Numbers: [62, 66, 23]
Generated Node #0,0: 62:[62, 66, 23] Operation: 17+6=23
Exploring Operation: 17-6=11, Resulting Numbers: [62, 66, 11]
Generated Node #0,1: 62:[62, 66, 11] Operation: 17-6=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[62, 66, 23], Operations: ['17+6=23']
Exploring Operation: 62-23=39, Resulting Numbers: [66, 39]
Generated Node #0,0,0: 62:[66, 39] Operation: 62-23=39
Exploring Operation: 66-62=4, Resulting Numbers: [23, 4]
Generated Node #0,0,1: 62:[23, 4] Operation: 66-62=4
Moving to Node #0,0,1
Current State: 62:[23, 4], Operations: ['17+6=23', '66-62=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,62 unequal: No Solution
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,62 unequal: No Solution
Moving to Node #0,0,0
Current State: 62:[66, 39], Operations: ['17+6=23', '62-23=39']
Exploring Operation: 66-39=27, Resulting Numbers: [27]
27,62 unequal: No Solution
Exploring Operation: 66+39=105, Resulting Numbers: [105]
105,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[62, 66, 11], Operations: ['17-6=11']
Exploring Operation: 66-11=55, Resulting Numbers: [62, 55]
Generated Node #0,1,0: 62:[62, 55] Operation: 66-11=55
Exploring Operation: 66/11=6, Resulting Numbers: [62, 6]
Generated Node #0,1,1: 62:[62, 6] Operation: 66/11=6
Moving to Node #0,1,1
Current State: 62:[62, 6], Operations: ['17-6=11', '66/11=6']
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,62 unequal: No Solution
Exploring Operation: 62+6=68, Resulting Numbers: [68]
68,62 unequal: No Solution
Moving to Node #0,1,0
Current State: 62:[62, 55], Operations: ['17-6=11', '66-11=55']
Exploring Operation: 62-55=7, Resulting Numbers: [7]
7,62 unequal: No Solution
Exploring Operation: 62+55=117, Resulting Numbers: [117]
117,62 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 |
[
1,
37,
8,
60
] | 16 | [
"37-1=36",
"60-8=52",
"52-36=16"
] | Current State: 16:[1, 37, 8, 60], Operations: []
Exploring Operation: 37-1=36, Resulting Numbers: [8, 60, 36]
Generated Node #2: [8, 60, 36] from Operation: 37-1=36
Current State: 16:[8, 60, 36], Operations: ['37-1=36']
Exploring Operation: 60-8=52, Resulting Numbers: [36, 52]
Generated Node #3: [36, 52] from Operation: 60-8=52
Current State: 16:[36, 52], Operations: ['37-1=36', '60-8=52']
Exploring Operation: 52-36=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[1, 37, 8, 60], Operations: []
Exploring Operation: 60-1=59, Resulting Numbers: [37, 8, 59]
Generated Node #0,0: 16:[37, 8, 59] Operation: 60-1=59
Exploring Operation: 37-1=36, Resulting Numbers: [8, 60, 36]
Generated Node #0,1: 16:[8, 60, 36] Operation: 37-1=36
Exploring Operation: 60-8=52, Resulting Numbers: [1, 37, 52]
Generated Node #0,2: 16:[1, 37, 52] Operation: 60-8=52
Exploring Operation: 60-37=23, Resulting Numbers: [1, 8, 23]
Generated Node #0,3: 16:[1, 8, 23] Operation: 60-37=23
Exploring Operation: 37-8=29, Resulting Numbers: [1, 60, 29]
Generated Node #0,4: 16:[1, 60, 29] Operation: 37-8=29
Moving to Node #0,3
Current State: 16:[1, 8, 23], Operations: ['60-37=23']
Exploring Operation: 1*23=23, Resulting Numbers: [8, 23]
Generated Node #0,3,0: 16:[8, 23] Operation: 1*23=23
Exploring Operation: 1*8=8, Resulting Numbers: [23, 8]
Generated Node #0,3,1: 16:[23, 8] Operation: 1*8=8
Exploring Operation: 23-1=22, Resulting Numbers: [8, 22]
Generated Node #0,3,2: 16:[8, 22] Operation: 23-1=22
Exploring Operation: 8/1=8, Resulting Numbers: [23, 8]
Generated Node #0,3,3: 16:[23, 8] Operation: 8/1=8
Exploring Operation: 23-8=15, Resulting Numbers: [1, 15]
Generated Node #0,3,4: 16:[1, 15] Operation: 23-8=15
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 16:[1, 15], Operations: ['60-37=23', '23-8=15']
Exploring Operation: 1+15=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[1, 37, 8, 60], Operations: []
Exploring Operation: 60-37=23, Resulting Numbers: [1, 8, 23]
Generated Node #0,3: 16:[1, 8, 23] Operation: 60-37=23
Moving to Node #0,3
Current State: 16:[1, 8, 23], Operations: ['60-37=23']
Exploring Operation: 23-8=15, Resulting Numbers: [1, 15]
Generated Node #0,3,4: 16:[1, 15] Operation: 23-8=15
Moving to Node #0,3,4
Current State: 16:[1, 15], Operations: ['60-37=23', '23-8=15']
Exploring Operation: 1+15=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
28,
93,
96,
5
] | 83 | [
"93-28=65",
"65/5=13",
"96-13=83"
] | Current State: 83:[28, 93, 96, 5], Operations: []
Exploring Operation: 93-28=65, Resulting Numbers: [96, 5, 65]
Generated Node #2: [96, 5, 65] from Operation: 93-28=65
Current State: 83:[96, 5, 65], Operations: ['93-28=65']
Exploring Operation: 65/5=13, Resulting Numbers: [96, 13]
Generated Node #3: [96, 13] from Operation: 65/5=13
Current State: 83:[96, 13], Operations: ['93-28=65', '65/5=13']
Exploring Operation: 96-13=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[28, 93, 96, 5], Operations: []
Exploring Operation: 28+5=33, Resulting Numbers: [93, 96, 33]
Generated Node #0,0: 83:[93, 96, 33] Operation: 28+5=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[93, 96, 33], Operations: ['28+5=33']
Exploring Operation: 96-33=63, Resulting Numbers: [93, 63]
Generated Node #0,0,0: 83:[93, 63] Operation: 96-33=63
Moving to Node #0,0,0
Current State: 83:[93, 63], Operations: ['28+5=33', '96-33=63']
Exploring Operation: 93-63=30, Resulting Numbers: [30]
30,83 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 |
[
80,
4,
83,
9
] | 31 | [
"83-80=3",
"9*3=27",
"4+27=31"
] | Current State: 31:[80, 4, 83, 9], Operations: []
Exploring Operation: 83-80=3, Resulting Numbers: [4, 9, 3]
Generated Node #2: [4, 9, 3] from Operation: 83-80=3
Current State: 31:[4, 9, 3], Operations: ['83-80=3']
Exploring Operation: 9*3=27, Resulting Numbers: [4, 27]
Generated Node #3: [4, 27] from Operation: 9*3=27
Current State: 31:[4, 27], Operations: ['83-80=3', '9*3=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[80, 4, 83, 9], Operations: []
Exploring Operation: 80/4=20, Resulting Numbers: [83, 9, 20]
Generated Node #0,0: 31:[83, 9, 20] Operation: 80/4=20
Exploring Operation: 83-80=3, Resulting Numbers: [4, 9, 3]
Generated Node #0,1: 31:[4, 9, 3] Operation: 83-80=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[4, 9, 3], Operations: ['83-80=3']
Exploring Operation: 4*9=36, Resulting Numbers: [3, 36]
Generated Node #0,1,0: 31:[3, 36] Operation: 4*9=36
Exploring Operation: 9*3=27, Resulting Numbers: [4, 27]
Generated Node #0,1,1: 31:[4, 27] Operation: 9*3=27
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 31:[4, 27], Operations: ['83-80=3', '9*3=27']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,31 unequal: No Solution
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[80, 4, 83, 9], Operations: []
Exploring Operation: 83-80=3, Resulting Numbers: [4, 9, 3]
Generated Node #0,1: 31:[4, 9, 3] Operation: 83-80=3
Moving to Node #0,1
Current State: 31:[4, 9, 3], Operations: ['83-80=3']
Exploring Operation: 9*3=27, Resulting Numbers: [4, 27]
Generated Node #0,1,1: 31:[4, 27] Operation: 9*3=27
Moving to Node #0,1,1
Current State: 31:[4, 27], Operations: ['83-80=3', '9*3=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
6,
32,
37,
35
] | 13 | [
"32-6=26",
"37-35=2",
"26/2=13"
] | Current State: 13:[6, 32, 37, 35], Operations: []
Exploring Operation: 32-6=26, Resulting Numbers: [37, 35, 26]
Generated Node #2: [37, 35, 26] from Operation: 32-6=26
Current State: 13:[37, 35, 26], Operations: ['32-6=26']
Exploring Operation: 37-35=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 37-35=2
Current State: 13:[26, 2], Operations: ['32-6=26', '37-35=2']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[6, 32, 37, 35], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [6, 32, 2]
Generated Node #0,0: 13:[6, 32, 2] Operation: 37-35=2
Exploring Operation: 37-32=5, Resulting Numbers: [6, 35, 5]
Generated Node #0,1: 13:[6, 35, 5] Operation: 37-32=5
Exploring Operation: 35-32=3, Resulting Numbers: [6, 37, 3]
Generated Node #0,2: 13:[6, 37, 3] Operation: 35-32=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[6, 32, 2], Operations: ['37-35=2']
Exploring Operation: 6*2=12, Resulting Numbers: [32, 12]
Generated Node #0,0,0: 13:[32, 12] Operation: 6*2=12
Exploring Operation: 32/2=16, Resulting Numbers: [6, 16]
Generated Node #0,0,1: 13:[6, 16] Operation: 32/2=16
Exploring Operation: 32-6=26, Resulting Numbers: [2, 26]
Generated Node #0,0,2: 13:[2, 26] Operation: 32-6=26
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 13:[6, 16], Operations: ['37-35=2', '32/2=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,13 unequal: No Solution
Exploring Operation: 6+16=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,13 unequal: No Solution
No 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: 13:[32, 12], Operations: ['37-35=2', '6*2=12']
Exploring Operation: 32*12=384, Resulting Numbers: [384]
384,13 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,13 unequal: No Solution
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,13 unequal: No Solution
No 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: 13:[2, 26], Operations: ['37-35=2', '32-6=26']
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,13 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[6, 32, 37, 35], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [6, 32, 2]
Generated Node #0,0: 13:[6, 32, 2] Operation: 37-35=2
Moving to Node #0,0
Current State: 13:[6, 32, 2], Operations: ['37-35=2']
Exploring Operation: 32-6=26, Resulting Numbers: [2, 26]
Generated Node #0,0,2: 13:[2, 26] Operation: 32-6=26
Moving to Node #0,0,2
Current State: 13:[2, 26], Operations: ['37-35=2', '32-6=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
22,
17,
3,
37
] | 12 | [
"22*3=66",
"17+37=54",
"66-54=12"
] | Current State: 12:[22, 17, 3, 37], Operations: []
Exploring Operation: 22*3=66, Resulting Numbers: [17, 37, 66]
Generated Node #2: [17, 37, 66] from Operation: 22*3=66
Current State: 12:[17, 37, 66], Operations: ['22*3=66']
Exploring Operation: 17+37=54, Resulting Numbers: [66, 54]
Generated Node #3: [66, 54] from Operation: 17+37=54
Current State: 12:[66, 54], Operations: ['22*3=66', '17+37=54']
Exploring Operation: 66-54=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[22, 17, 3, 37], Operations: []
Exploring Operation: 37-22=15, Resulting Numbers: [17, 3, 15]
Generated Node #0,0: 12:[17, 3, 15] Operation: 37-22=15
Exploring Operation: 37-17=20, Resulting Numbers: [22, 3, 20]
Generated Node #0,1: 12:[22, 3, 20] Operation: 37-17=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[17, 3, 15], Operations: ['37-22=15']
Exploring Operation: 17-15=2, Resulting Numbers: [3, 2]
Generated Node #0,0,0: 12:[3, 2] Operation: 17-15=2
Exploring Operation: 17-3=14, Resulting Numbers: [15, 14]
Generated Node #0,0,1: 12:[15, 14] Operation: 17-3=14
Moving to Node #0,0,0
Current State: 12:[3, 2], Operations: ['37-22=15', '17-15=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[15, 14], Operations: ['37-22=15', '17-3=14']
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,12 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[22, 3, 20], Operations: ['37-17=20']
Exploring Operation: 22-3=19, Resulting Numbers: [20, 19]
Generated Node #0,1,0: 12:[20, 19] Operation: 22-3=19
Exploring Operation: 22-20=2, Resulting Numbers: [3, 2]
Generated Node #0,1,1: 12:[3, 2] Operation: 22-20=2
Moving to Node #0,1,1
Current State: 12:[3, 2], Operations: ['37-17=20', '22-20=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Moving to Node #0,1,0
Current State: 12:[20, 19], Operations: ['37-17=20', '22-3=19']
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,12 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
43,
14,
94,
42
] | 23 | [
"43-14=29",
"94-42=52",
"52-29=23"
] | Current State: 23:[43, 14, 94, 42], Operations: []
Exploring Operation: 43-14=29, Resulting Numbers: [94, 42, 29]
Generated Node #2: [94, 42, 29] from Operation: 43-14=29
Current State: 23:[94, 42, 29], Operations: ['43-14=29']
Exploring Operation: 94-42=52, Resulting Numbers: [29, 52]
Generated Node #3: [29, 52] from Operation: 94-42=52
Current State: 23:[29, 52], Operations: ['43-14=29', '94-42=52']
Exploring Operation: 52-29=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[43, 14, 94, 42], Operations: []
Exploring Operation: 94-42=52, Resulting Numbers: [43, 14, 52]
Generated Node #0,0: 23:[43, 14, 52] Operation: 94-42=52
Exploring Operation: 94-43=51, Resulting Numbers: [14, 42, 51]
Generated Node #0,1: 23:[14, 42, 51] Operation: 94-43=51
Exploring Operation: 43-14=29, Resulting Numbers: [94, 42, 29]
Generated Node #0,2: 23:[94, 42, 29] Operation: 43-14=29
Moving to Node #0,1
Current State: 23:[14, 42, 51], Operations: ['94-43=51']
Exploring Operation: 51-14=37, Resulting Numbers: [42, 37]
Generated Node #0,1,0: 23:[42, 37] Operation: 51-14=37
Exploring Operation: 42-14=28, Resulting Numbers: [51, 28]
Generated Node #0,1,1: 23:[51, 28] Operation: 42-14=28
Exploring Operation: 51-42=9, Resulting Numbers: [14, 9]
Generated Node #0,1,2: 23:[14, 9] Operation: 51-42=9
Moving to Node #0,0
Current State: 23:[43, 14, 52], Operations: ['94-42=52']
Exploring Operation: 52-14=38, Resulting Numbers: [43, 38]
Generated Node #0,0,0: 23:[43, 38] Operation: 52-14=38
Exploring Operation: 43-14=29, Resulting Numbers: [52, 29]
Generated Node #0,0,1: 23:[52, 29] Operation: 43-14=29
Exploring Operation: 52-43=9, Resulting Numbers: [14, 9]
Generated Node #0,0,2: 23:[14, 9] Operation: 52-43=9
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 23:[14, 9], Operations: ['94-42=52', '52-43=9']
Exploring Operation: 14*9=126, Resulting Numbers: [126]
126,23 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,23 unequal: No Solution
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[43, 14, 94, 42], Operations: []
Exploring Operation: 94-42=52, Resulting Numbers: [43, 14, 52]
Generated Node #0,0: 23:[43, 14, 52] Operation: 94-42=52
Moving to Node #0,0
Current State: 23:[43, 14, 52], Operations: ['94-42=52']
Exploring Operation: 52-43=9, Resulting Numbers: [14, 9]
Generated Node #0,0,2: 23:[14, 9] Operation: 52-43=9
Moving to Node #0,0,2
Current State: 23:[14, 9], Operations: ['94-42=52', '52-43=9']
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
11,
63,
70,
82
] | 64 | [
"63-11=52",
"82-70=12",
"52+12=64"
] | Current State: 64:[11, 63, 70, 82], Operations: []
Exploring Operation: 63-11=52, Resulting Numbers: [70, 82, 52]
Generated Node #2: [70, 82, 52] from Operation: 63-11=52
Current State: 64:[70, 82, 52], Operations: ['63-11=52']
Exploring Operation: 82-70=12, Resulting Numbers: [52, 12]
Generated Node #3: [52, 12] from Operation: 82-70=12
Current State: 64:[52, 12], Operations: ['63-11=52', '82-70=12']
Exploring Operation: 52+12=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[11, 63, 70, 82], Operations: []
Exploring Operation: 82-11=71, Resulting Numbers: [63, 70, 71]
Generated Node #0,0: 64:[63, 70, 71] Operation: 82-11=71
Exploring Operation: 70-63=7, Resulting Numbers: [11, 82, 7]
Generated Node #0,1: 64:[11, 82, 7] Operation: 70-63=7
Exploring Operation: 82-63=19, Resulting Numbers: [11, 70, 19]
Generated Node #0,2: 64:[11, 70, 19] Operation: 82-63=19
Exploring Operation: 82-70=12, Resulting Numbers: [11, 63, 12]
Generated Node #0,3: 64:[11, 63, 12] Operation: 82-70=12
Moving to Node #0,3
Current State: 64:[11, 63, 12], Operations: ['82-70=12']
Exploring Operation: 63+12=75, Resulting Numbers: [11, 75]
Generated Node #0,3,0: 64:[11, 75] Operation: 63+12=75
Exploring Operation: 12-11=1, Resulting Numbers: [63, 1]
Generated Node #0,3,1: 64:[63, 1] Operation: 12-11=1
Exploring Operation: 11+12=23, Resulting Numbers: [63, 23]
Generated Node #0,3,2: 64:[63, 23] Operation: 11+12=23
Exploring Operation: 11+63=74, Resulting Numbers: [12, 74]
Generated Node #0,3,3: 64:[12, 74] Operation: 11+63=74
Moving to Node #0,2
Current State: 64:[11, 70, 19], Operations: ['82-63=19']
Exploring Operation: 11+19=30, Resulting Numbers: [70, 30]
Generated Node #0,2,0: 64:[70, 30] Operation: 11+19=30
Exploring Operation: 70-19=51, Resulting Numbers: [11, 51]
Generated Node #0,2,1: 64:[11, 51] Operation: 70-19=51
Exploring Operation: 19-11=8, Resulting Numbers: [70, 8]
Generated Node #0,2,2: 64:[70, 8] Operation: 19-11=8
Exploring Operation: 70-11=59, Resulting Numbers: [19, 59]
Generated Node #0,2,3: 64:[19, 59] Operation: 70-11=59
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 64:[70, 8], Operations: ['82-63=19', '19-11=8']
Exploring Operation: 70+8=78, Resulting Numbers: [78]
78,64 unequal: No Solution
Exploring Operation: 70*8=560, Resulting Numbers: [560]
560,64 unequal: No Solution
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 64:[70, 30], Operations: ['82-63=19', '11+19=30']
Exploring Operation: 70*30=2100, Resulting Numbers: [2100]
2100,64 unequal: No Solution
Exploring Operation: 70+30=100, Resulting Numbers: [100]
100,64 unequal: No Solution
Exploring Operation: 70-30=40, Resulting Numbers: [40]
40,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 64:[19, 59], Operations: ['82-63=19', '70-11=59']
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 19*59=1121, Resulting Numbers: [1121]
1121,64 unequal: No Solution
Exploring Operation: 19+59=78, Resulting Numbers: [78]
78,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 64:[11, 51], Operations: ['82-63=19', '70-19=51']
Exploring Operation: 11+51=62, Resulting Numbers: [62]
62,64 unequal: No Solution
Exploring Operation: 51-11=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 11*51=561, Resulting Numbers: [561]
561,64 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: 64:[63, 70, 71], Operations: ['82-11=71']
Exploring Operation: 70-63=7, Resulting Numbers: [71, 7]
Generated Node #0,0,0: 64:[71, 7] Operation: 70-63=7
Exploring Operation: 71-63=8, Resulting Numbers: [70, 8]
Generated Node #0,0,1: 64:[70, 8] Operation: 71-63=8
Exploring Operation: 71-70=1, Resulting Numbers: [63, 1]
Generated Node #0,0,2: 64:[63, 1] Operation: 71-70=1
Exploring Operation: 63+70=133, Resulting Numbers: [71, 133]
Generated Node #0,0,3: 64:[71, 133] Operation: 63+70=133
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 64:[63, 1], Operations: ['82-11=71', '71-70=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,64 unequal: No Solution
Exploring Operation: 63/1=63, Resulting Numbers: [63]
63,64 unequal: No Solution
Exploring Operation: 63+1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[11, 63, 70, 82], Operations: []
Exploring Operation: 82-11=71, Resulting Numbers: [63, 70, 71]
Generated Node #0,0: 64:[63, 70, 71] Operation: 82-11=71
Moving to Node #0,0
Current State: 64:[63, 70, 71], Operations: ['82-11=71']
Exploring Operation: 71-70=1, Resulting Numbers: [63, 1]
Generated Node #0,0,2: 64:[63, 1] Operation: 71-70=1
Moving to Node #0,0,2
Current State: 64:[63, 1], Operations: ['82-11=71', '71-70=1']
Exploring Operation: 63+1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_4 | mult_heuristic |
[
36,
19,
4,
61
] | 12 | [
"36*19=684",
"61-4=57",
"684/57=12"
] | Current State: 12:[36, 19, 4, 61], Operations: []
Exploring Operation: 36*19=684, Resulting Numbers: [4, 61, 684]
Generated Node #2: [4, 61, 684] from Operation: 36*19=684
Current State: 12:[4, 61, 684], Operations: ['36*19=684']
Exploring Operation: 61-4=57, Resulting Numbers: [684, 57]
Generated Node #3: [684, 57] from Operation: 61-4=57
Current State: 12:[684, 57], Operations: ['36*19=684', '61-4=57']
Exploring Operation: 684/57=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[36, 19, 4, 61], Operations: []
Exploring Operation: 36-19=17, Resulting Numbers: [4, 61, 17]
Generated Node #0,0: 12:[4, 61, 17] Operation: 36-19=17
Exploring Operation: 61-36=25, Resulting Numbers: [19, 4, 25]
Generated Node #0,1: 12:[19, 4, 25] Operation: 61-36=25
Moving to Node #0,1
Current State: 12:[19, 4, 25], Operations: ['61-36=25']
Exploring Operation: 25-19=6, Resulting Numbers: [4, 6]
Generated Node #0,1,0: 12:[4, 6] Operation: 25-19=6
Exploring Operation: 19-4=15, Resulting Numbers: [25, 15]
Generated Node #0,1,1: 12:[25, 15] Operation: 19-4=15
Moving to Node #0,0
Current State: 12:[4, 61, 17], Operations: ['36-19=17']
Exploring Operation: 61-17=44, Resulting Numbers: [4, 44]
Generated Node #0,0,0: 12:[4, 44] Operation: 61-17=44
Exploring Operation: 61-4=57, Resulting Numbers: [17, 57]
Generated Node #0,0,1: 12:[17, 57] Operation: 61-4=57
Moving to Node #0,1,0
Current State: 12:[4, 6], Operations: ['61-36=25', '25-19=6']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,12 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,12 unequal: No Solution
Moving to Node #0,1,1
Current State: 12:[25, 15], Operations: ['61-36=25', '19-4=15']
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,12 unequal: No Solution
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,12 unequal: No Solution
Moving to Node #0,0,0
Current State: 12:[4, 44], Operations: ['36-19=17', '61-17=44']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[17, 57], Operations: ['36-19=17', '61-4=57']
Exploring Operation: 57-17=40, Resulting Numbers: [40]
40,12 unequal: No Solution
Exploring Operation: 17+57=74, Resulting Numbers: [74]
74,12 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
78,
69,
23,
99
] | 45 | [
"69/23=3",
"99/3=33",
"78-33=45"
] | Current State: 45:[78, 69, 23, 99], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [78, 99, 3]
Generated Node #2: [78, 99, 3] from Operation: 69/23=3
Current State: 45:[78, 99, 3], Operations: ['69/23=3']
Exploring Operation: 99/3=33, Resulting Numbers: [78, 33]
Generated Node #3: [78, 33] from Operation: 99/3=33
Current State: 45:[78, 33], Operations: ['69/23=3', '99/3=33']
Exploring Operation: 78-33=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[78, 69, 23, 99], Operations: []
Exploring Operation: 99-78=21, Resulting Numbers: [69, 23, 21]
Generated Node #0,0: 45:[69, 23, 21] Operation: 99-78=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[69, 23, 21], Operations: ['99-78=21']
Exploring Operation: 69/23=3, Resulting Numbers: [21, 3]
Generated Node #0,0,0: 45:[21, 3] Operation: 69/23=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 45:[21, 3], Operations: ['99-78=21', '69/23=3']
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
59,
96,
33,
68
] | 54 | [
"59+96=155",
"33+68=101",
"155-101=54"
] | Current State: 54:[59, 96, 33, 68], Operations: []
Exploring Operation: 59+96=155, Resulting Numbers: [33, 68, 155]
Generated Node #2: [33, 68, 155] from Operation: 59+96=155
Current State: 54:[33, 68, 155], Operations: ['59+96=155']
Exploring Operation: 33+68=101, Resulting Numbers: [155, 101]
Generated Node #3: [155, 101] from Operation: 33+68=101
Current State: 54:[155, 101], Operations: ['59+96=155', '33+68=101']
Exploring Operation: 155-101=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[59, 96, 33, 68], Operations: []
Exploring Operation: 96-68=28, Resulting Numbers: [59, 33, 28]
Generated Node #0,0: 54:[59, 33, 28] Operation: 96-68=28
Exploring Operation: 96-33=63, Resulting Numbers: [59, 68, 63]
Generated Node #0,1: 54:[59, 68, 63] Operation: 96-33=63
Moving to Node #0,0
Current State: 54:[59, 33, 28], Operations: ['96-68=28']
Exploring Operation: 59-33=26, Resulting Numbers: [28, 26]
Generated Node #0,0,0: 54:[28, 26] Operation: 59-33=26
Exploring Operation: 33-28=5, Resulting Numbers: [59, 5]
Generated Node #0,0,1: 54:[59, 5] Operation: 33-28=5
Moving to Node #0,1
Current State: 54:[59, 68, 63], Operations: ['96-33=63']
Exploring Operation: 68-63=5, Resulting Numbers: [59, 5]
Generated Node #0,1,0: 54:[59, 5] Operation: 68-63=5
Exploring Operation: 68-59=9, Resulting Numbers: [63, 9]
Generated Node #0,1,1: 54:[63, 9] Operation: 68-59=9
Moving to Node #0,0,0
Current State: 54:[28, 26], Operations: ['96-68=28', '59-33=26']
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[59, 96, 33, 68], Operations: []
Exploring Operation: 96-68=28, Resulting Numbers: [59, 33, 28]
Generated Node #0,0: 54:[59, 33, 28] Operation: 96-68=28
Moving to Node #0,0
Current State: 54:[59, 33, 28], Operations: ['96-68=28']
Exploring Operation: 59-33=26, Resulting Numbers: [28, 26]
Generated Node #0,0,0: 54:[28, 26] Operation: 59-33=26
Moving to Node #0,0,0
Current State: 54:[28, 26], Operations: ['96-68=28', '59-33=26']
Exploring Operation: 28+26=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 0.990451 | hs_2 | mult_heuristic |
[
66,
6,
53,
33
] | 92 | [
"66+6=72",
"53-33=20",
"72+20=92"
] | Current State: 92:[66, 6, 53, 33], Operations: []
Exploring Operation: 66+6=72, Resulting Numbers: [53, 33, 72]
Generated Node #2: [53, 33, 72] from Operation: 66+6=72
Current State: 92:[53, 33, 72], Operations: ['66+6=72']
Exploring Operation: 53-33=20, Resulting Numbers: [72, 20]
Generated Node #3: [72, 20] from Operation: 53-33=20
Current State: 92:[72, 20], Operations: ['66+6=72', '53-33=20']
Exploring Operation: 72+20=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[66, 6, 53, 33], Operations: []
Exploring Operation: 66/33=2, Resulting Numbers: [6, 53, 2]
Generated Node #0,0: 92:[6, 53, 2] Operation: 66/33=2
Exploring Operation: 66+33=99, Resulting Numbers: [6, 53, 99]
Generated Node #0,1: 92:[6, 53, 99] Operation: 66+33=99
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[6, 53, 2], Operations: ['66/33=2']
Exploring Operation: 53-6=47, Resulting Numbers: [2, 47]
Generated Node #0,0,0: 92:[2, 47] Operation: 53-6=47
Exploring Operation: 6-2=4, Resulting Numbers: [53, 4]
Generated Node #0,0,1: 92:[53, 4] Operation: 6-2=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[2, 47], Operations: ['66/33=2', '53-6=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,92 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,92 unequal: No Solution
No 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: 92:[53, 4], Operations: ['66/33=2', '6-2=4']
Exploring Operation: 53+4=57, Resulting Numbers: [57]
57,92 unequal: No Solution
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,92 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: 92:[6, 53, 99], Operations: ['66+33=99']
Exploring Operation: 99-53=46, Resulting Numbers: [6, 46]
Generated Node #0,1,0: 92:[6, 46] Operation: 99-53=46
Exploring Operation: 53-6=47, Resulting Numbers: [99, 47]
Generated Node #0,1,1: 92:[99, 47] Operation: 53-6=47
Moving to Node #0,1,0
Current State: 92:[6, 46], Operations: ['66+33=99', '99-53=46']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 6+46=52, Resulting Numbers: [52]
52,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[99, 47], Operations: ['66+33=99', '53-6=47']
Exploring Operation: 99-47=52, Resulting Numbers: [52]
52,92 unequal: No Solution
Exploring Operation: 99+47=146, Resulting Numbers: [146]
146,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
89,
92,
63,
17
] | 49 | [
"92-89=3",
"63-17=46",
"3+46=49"
] | Current State: 49:[89, 92, 63, 17], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [63, 17, 3]
Generated Node #2: [63, 17, 3] from Operation: 92-89=3
Current State: 49:[63, 17, 3], Operations: ['92-89=3']
Exploring Operation: 63-17=46, Resulting Numbers: [3, 46]
Generated Node #3: [3, 46] from Operation: 63-17=46
Current State: 49:[3, 46], Operations: ['92-89=3', '63-17=46']
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[89, 92, 63, 17], Operations: []
Exploring Operation: 89-17=72, Resulting Numbers: [92, 63, 72]
Generated Node #0,0: 49:[92, 63, 72] Operation: 89-17=72
Exploring Operation: 92-63=29, Resulting Numbers: [89, 17, 29]
Generated Node #0,1: 49:[89, 17, 29] Operation: 92-63=29
Exploring Operation: 89-63=26, Resulting Numbers: [92, 17, 26]
Generated Node #0,2: 49:[92, 17, 26] Operation: 89-63=26
Exploring Operation: 92-89=3, Resulting Numbers: [63, 17, 3]
Generated Node #0,3: 49:[63, 17, 3] Operation: 92-89=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 49:[63, 17, 3], Operations: ['92-89=3']
Exploring Operation: 17-3=14, Resulting Numbers: [63, 14]
Generated Node #0,3,0: 49:[63, 14] Operation: 17-3=14
Exploring Operation: 63-17=46, Resulting Numbers: [3, 46]
Generated Node #0,3,1: 49:[3, 46] Operation: 63-17=46
Exploring Operation: 17*3=51, Resulting Numbers: [63, 51]
Generated Node #0,3,2: 49:[63, 51] Operation: 17*3=51
Exploring Operation: 63-3=60, Resulting Numbers: [17, 60]
Generated Node #0,3,3: 49:[17, 60] Operation: 63-3=60
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 49:[3, 46], Operations: ['92-89=3', '63-17=46']
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[89, 92, 63, 17], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [63, 17, 3]
Generated Node #0,3: 49:[63, 17, 3] Operation: 92-89=3
Moving to Node #0,3
Current State: 49:[63, 17, 3], Operations: ['92-89=3']
Exploring Operation: 63-17=46, Resulting Numbers: [3, 46]
Generated Node #0,3,1: 49:[3, 46] Operation: 63-17=46
Moving to Node #0,3,1
Current State: 49:[3, 46], Operations: ['92-89=3', '63-17=46']
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
86,
82,
10,
60
] | 98 | [
"86+82=168",
"10+60=70",
"168-70=98"
] | Current State: 98:[86, 82, 10, 60], Operations: []
Exploring Operation: 86+82=168, Resulting Numbers: [10, 60, 168]
Generated Node #2: [10, 60, 168] from Operation: 86+82=168
Current State: 98:[10, 60, 168], Operations: ['86+82=168']
Exploring Operation: 10+60=70, Resulting Numbers: [168, 70]
Generated Node #3: [168, 70] from Operation: 10+60=70
Current State: 98:[168, 70], Operations: ['86+82=168', '10+60=70']
Exploring Operation: 168-70=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[86, 82, 10, 60], Operations: []
Exploring Operation: 86-82=4, Resulting Numbers: [10, 60, 4]
Generated Node #0,0: 98:[10, 60, 4] Operation: 86-82=4
Exploring Operation: 82-60=22, Resulting Numbers: [86, 10, 22]
Generated Node #0,1: 98:[86, 10, 22] Operation: 82-60=22
Moving to Node #0,0
Current State: 98:[10, 60, 4], Operations: ['86-82=4']
Exploring Operation: 60-10=50, Resulting Numbers: [4, 50]
Generated Node #0,0,0: 98:[4, 50] Operation: 60-10=50
Exploring Operation: 60/10=6, Resulting Numbers: [4, 6]
Generated Node #0,0,1: 98:[4, 6] Operation: 60/10=6
Moving to Node #0,1
Current State: 98:[86, 10, 22], Operations: ['82-60=22']
Exploring Operation: 86+22=108, Resulting Numbers: [10, 108]
Generated Node #0,1,0: 98:[10, 108] Operation: 86+22=108
Exploring Operation: 86+10=96, Resulting Numbers: [22, 96]
Generated Node #0,1,1: 98:[22, 96] Operation: 86+10=96
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 98:[22, 96], Operations: ['82-60=22', '86+10=96']
Exploring Operation: 22+96=118, Resulting Numbers: [118]
118,98 unequal: No Solution
Exploring Operation: 96-22=74, Resulting Numbers: [74]
74,98 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 #0,1,0
Current State: 98:[10, 108], Operations: ['82-60=22', '86+22=108']
Exploring Operation: 10+108=118, Resulting Numbers: [118]
118,98 unequal: No Solution
Exploring Operation: 108-10=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[86, 82, 10, 60], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [86, 10, 22]
Generated Node #0,1: 98:[86, 10, 22] Operation: 82-60=22
Moving to Node #0,1
Current State: 98:[86, 10, 22], Operations: ['82-60=22']
Exploring Operation: 86+22=108, Resulting Numbers: [10, 108]
Generated Node #0,1,0: 98:[10, 108] Operation: 86+22=108
Moving to Node #0,1,0
Current State: 98:[10, 108], Operations: ['82-60=22', '86+22=108']
Exploring Operation: 108-10=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_2 | mult_heuristic |
[
8,
99,
37,
75
] | 69 | [
"8+99=107",
"75-37=38",
"107-38=69"
] | Current State: 69:[8, 99, 37, 75], Operations: []
Exploring Operation: 8+99=107, Resulting Numbers: [37, 75, 107]
Generated Node #2: [37, 75, 107] from Operation: 8+99=107
Current State: 69:[37, 75, 107], Operations: ['8+99=107']
Exploring Operation: 75-37=38, Resulting Numbers: [107, 38]
Generated Node #3: [107, 38] from Operation: 75-37=38
Current State: 69:[107, 38], Operations: ['8+99=107', '75-37=38']
Exploring Operation: 107-38=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[8, 99, 37, 75], Operations: []
Exploring Operation: 99-37=62, Resulting Numbers: [8, 75, 62]
Generated Node #0,0: 69:[8, 75, 62] Operation: 99-37=62
Moving to Node #0,0
Current State: 69:[8, 75, 62], Operations: ['99-37=62']
Exploring Operation: 8+62=70, Resulting Numbers: [75, 70]
Generated Node #0,0,0: 69:[75, 70] Operation: 8+62=70
Moving to Node #0,0,0
Current State: 69:[75, 70], Operations: ['99-37=62', '8+62=70']
Exploring Operation: 75-70=5, Resulting Numbers: [5]
5,69 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
79,
29,
39,
80
] | 69 | [
"79-29=50",
"39+80=119",
"119-50=69"
] | Current State: 69:[79, 29, 39, 80], Operations: []
Exploring Operation: 79-29=50, Resulting Numbers: [39, 80, 50]
Generated Node #2: [39, 80, 50] from Operation: 79-29=50
Current State: 69:[39, 80, 50], Operations: ['79-29=50']
Exploring Operation: 39+80=119, Resulting Numbers: [50, 119]
Generated Node #3: [50, 119] from Operation: 39+80=119
Current State: 69:[50, 119], Operations: ['79-29=50', '39+80=119']
Exploring Operation: 119-50=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[79, 29, 39, 80], Operations: []
Exploring Operation: 79-39=40, Resulting Numbers: [29, 80, 40]
Generated Node #0,0: 69:[29, 80, 40] Operation: 79-39=40
Exploring Operation: 80-79=1, Resulting Numbers: [29, 39, 1]
Generated Node #0,1: 69:[29, 39, 1] Operation: 80-79=1
Exploring Operation: 29+39=68, Resulting Numbers: [79, 80, 68]
Generated Node #0,2: 69:[79, 80, 68] Operation: 29+39=68
Exploring Operation: 39-29=10, Resulting Numbers: [79, 80, 10]
Generated Node #0,3: 69:[79, 80, 10] Operation: 39-29=10
Start Sub Search at level 1: Moving to Node #0,2
Current State: 69:[79, 80, 68], Operations: ['29+39=68']
Exploring Operation: 80-79=1, Resulting Numbers: [68, 1]
Generated Node #0,2,0: 69:[68, 1] Operation: 80-79=1
Exploring Operation: 79+68=147, Resulting Numbers: [80, 147]
Generated Node #0,2,1: 69:[80, 147] Operation: 79+68=147
Exploring Operation: 80-68=12, Resulting Numbers: [79, 12]
Generated Node #0,2,2: 69:[79, 12] Operation: 80-68=12
Exploring Operation: 79-68=11, Resulting Numbers: [80, 11]
Generated Node #0,2,3: 69:[80, 11] Operation: 79-68=11
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 69:[68, 1], Operations: ['29+39=68', '80-79=1']
Exploring Operation: 68-1=67, Resulting Numbers: [67]
67,69 unequal: No Solution
Exploring Operation: 68+1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[79, 29, 39, 80], Operations: []
Exploring Operation: 29+39=68, Resulting Numbers: [79, 80, 68]
Generated Node #0,2: 69:[79, 80, 68] Operation: 29+39=68
Moving to Node #0,2
Current State: 69:[79, 80, 68], Operations: ['29+39=68']
Exploring Operation: 80-79=1, Resulting Numbers: [68, 1]
Generated Node #0,2,0: 69:[68, 1] Operation: 80-79=1
Moving to Node #0,2,0
Current State: 69:[68, 1], Operations: ['29+39=68', '80-79=1']
Exploring Operation: 68+1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
48,
5,
61,
21
] | 93 | [
"48+5=53",
"61-21=40",
"53+40=93"
] | Current State: 93:[48, 5, 61, 21], Operations: []
Exploring Operation: 48+5=53, Resulting Numbers: [61, 21, 53]
Generated Node #2: [61, 21, 53] from Operation: 48+5=53
Current State: 93:[61, 21, 53], Operations: ['48+5=53']
Exploring Operation: 61-21=40, Resulting Numbers: [53, 40]
Generated Node #3: [53, 40] from Operation: 61-21=40
Current State: 93:[53, 40], Operations: ['48+5=53', '61-21=40']
Exploring Operation: 53+40=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[48, 5, 61, 21], Operations: []
Exploring Operation: 61-48=13, Resulting Numbers: [5, 21, 13]
Generated Node #0,0: 93:[5, 21, 13] Operation: 61-48=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[5, 21, 13], Operations: ['61-48=13']
Exploring Operation: 21+13=34, Resulting Numbers: [5, 34]
Generated Node #0,0,0: 93:[5, 34] Operation: 21+13=34
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 93:[5, 34], Operations: ['61-48=13', '21+13=34']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
50,
17,
40,
7
] | 29 | [
"50+40=90",
"17*7=119",
"119-90=29"
] | Current State: 29:[50, 17, 40, 7], Operations: []
Exploring Operation: 50+40=90, Resulting Numbers: [17, 7, 90]
Generated Node #2: [17, 7, 90] from Operation: 50+40=90
Current State: 29:[17, 7, 90], Operations: ['50+40=90']
Exploring Operation: 17*7=119, Resulting Numbers: [90, 119]
Generated Node #3: [90, 119] from Operation: 17*7=119
Current State: 29:[90, 119], Operations: ['50+40=90', '17*7=119']
Exploring Operation: 119-90=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[50, 17, 40, 7], Operations: []
Exploring Operation: 50-17=33, Resulting Numbers: [40, 7, 33]
Generated Node #0,0: 29:[40, 7, 33] Operation: 50-17=33
Moving to Node #0,0
Current State: 29:[40, 7, 33], Operations: ['50-17=33']
Exploring Operation: 40-7=33, Resulting Numbers: [33, 33]
Generated Node #0,0,0: 29:[33, 33] Operation: 40-7=33
Moving to Node #0,0,0
Current State: 29:[33, 33], Operations: ['50-17=33', '40-7=33']
Exploring Operation: 33/33=1, Resulting Numbers: [1]
1,29 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
81,
20,
20,
90
] | 10 | [
"90-81=9",
"20/20=1",
"9+1=10"
] | Current State: 10:[81, 20, 20, 90], Operations: []
Exploring Operation: 90-81=9, Resulting Numbers: [20, 20, 9]
Generated Node #2: [20, 20, 9] from Operation: 90-81=9
Current State: 10:[20, 20, 9], Operations: ['90-81=9']
Exploring Operation: 20/20=1, Resulting Numbers: [9, 1]
Generated Node #3: [9, 1] from Operation: 20/20=1
Current State: 10:[9, 1], Operations: ['90-81=9', '20/20=1']
Exploring Operation: 9+1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[81, 20, 20, 90], Operations: []
Exploring Operation: 90-81=9, Resulting Numbers: [20, 20, 9]
Generated Node #0,0: 10:[20, 20, 9] Operation: 90-81=9
Exploring Operation: 81-20=61, Resulting Numbers: [20, 90, 61]
Generated Node #0,1: 10:[20, 90, 61] Operation: 81-20=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[20, 20, 9], Operations: ['90-81=9']
Exploring Operation: 20-20=0, Resulting Numbers: [9, 0]
Generated Node #0,0,0: 10:[9, 0] Operation: 20-20=0
Exploring Operation: 20/20=1, Resulting Numbers: [9, 1]
Generated Node #0,0,1: 10:[9, 1] Operation: 20/20=1
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 10:[9, 1], Operations: ['90-81=9', '20/20=1']
Exploring Operation: 9*1=9, Resulting Numbers: [9]
9,10 unequal: No Solution
Exploring Operation: 9+1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[81, 20, 20, 90], Operations: []
Exploring Operation: 90-81=9, Resulting Numbers: [20, 20, 9]
Generated Node #0,0: 10:[20, 20, 9] Operation: 90-81=9
Moving to Node #0,0
Current State: 10:[20, 20, 9], Operations: ['90-81=9']
Exploring Operation: 20/20=1, Resulting Numbers: [9, 1]
Generated Node #0,0,1: 10:[9, 1] Operation: 20/20=1
Moving to Node #0,0,1
Current State: 10:[9, 1], Operations: ['90-81=9', '20/20=1']
Exploring Operation: 9+1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
33,
77,
69,
13
] | 100 | [
"77-33=44",
"69-13=56",
"44+56=100"
] | Current State: 100:[33, 77, 69, 13], Operations: []
Exploring Operation: 77-33=44, Resulting Numbers: [69, 13, 44]
Generated Node #2: [69, 13, 44] from Operation: 77-33=44
Current State: 100:[69, 13, 44], Operations: ['77-33=44']
Exploring Operation: 69-13=56, Resulting Numbers: [44, 56]
Generated Node #3: [44, 56] from Operation: 69-13=56
Current State: 100:[44, 56], Operations: ['77-33=44', '69-13=56']
Exploring Operation: 44+56=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[33, 77, 69, 13], Operations: []
Exploring Operation: 77-33=44, Resulting Numbers: [69, 13, 44]
Generated Node #0,0: 100:[69, 13, 44] Operation: 77-33=44
Exploring Operation: 77-69=8, Resulting Numbers: [33, 13, 8]
Generated Node #0,1: 100:[33, 13, 8] Operation: 77-69=8
Moving to Node #0,1
Current State: 100:[33, 13, 8], Operations: ['77-69=8']
Exploring Operation: 33-8=25, Resulting Numbers: [13, 25]
Generated Node #0,1,0: 100:[13, 25] Operation: 33-8=25
Exploring Operation: 33-13=20, Resulting Numbers: [8, 20]
Generated Node #0,1,1: 100:[8, 20] Operation: 33-13=20
Moving to Node #0,0
Current State: 100:[69, 13, 44], Operations: ['77-33=44']
Exploring Operation: 69-13=56, Resulting Numbers: [44, 56]
Generated Node #0,0,0: 100:[44, 56] Operation: 69-13=56
Exploring Operation: 69-44=25, Resulting Numbers: [13, 25]
Generated Node #0,0,1: 100:[13, 25] Operation: 69-44=25
Moving to Node #0,1,1
Current State: 100:[8, 20], Operations: ['77-69=8', '33-13=20']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[13, 25], Operations: ['77-33=44', '69-44=25']
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,100 unequal: No Solution
Moving to Node #0,1,0
Current State: 100:[13, 25], Operations: ['77-69=8', '33-8=25']
Exploring Operation: 13+25=38, Resulting Numbers: [38]
38,100 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Moving to Node #0,0,0
Current State: 100:[44, 56], Operations: ['77-33=44', '69-13=56']
Exploring Operation: 44+56=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[33, 77, 69, 13], Operations: []
Exploring Operation: 77-33=44, Resulting Numbers: [69, 13, 44]
Generated Node #0,0: 100:[69, 13, 44] Operation: 77-33=44
Moving to Node #0,0
Current State: 100:[69, 13, 44], Operations: ['77-33=44']
Exploring Operation: 69-13=56, Resulting Numbers: [44, 56]
Generated Node #0,0,0: 100:[44, 56] Operation: 69-13=56
Moving to Node #0,0,0
Current State: 100:[44, 56], Operations: ['77-33=44', '69-13=56']
Exploring Operation: 44+56=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 0.985243 | hs_2 | mult_heuristic |
[
96,
27,
23,
79
] | 33 | [
"96-27=69",
"23+79=102",
"102-69=33"
] | Current State: 33:[96, 27, 23, 79], Operations: []
Exploring Operation: 96-27=69, Resulting Numbers: [23, 79, 69]
Generated Node #2: [23, 79, 69] from Operation: 96-27=69
Current State: 33:[23, 79, 69], Operations: ['96-27=69']
Exploring Operation: 23+79=102, Resulting Numbers: [69, 102]
Generated Node #3: [69, 102] from Operation: 23+79=102
Current State: 33:[69, 102], Operations: ['96-27=69', '23+79=102']
Exploring Operation: 102-69=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[96, 27, 23, 79], Operations: []
Exploring Operation: 96-79=17, Resulting Numbers: [27, 23, 17]
Generated Node #0,0: 33:[27, 23, 17] Operation: 96-79=17
Moving to Node #0,0
Current State: 33:[27, 23, 17], Operations: ['96-79=17']
Exploring Operation: 27-23=4, Resulting Numbers: [17, 4]
Generated Node #0,0,0: 33:[17, 4] Operation: 27-23=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[17, 4], Operations: ['96-79=17', '27-23=4']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,33 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,
49,
3,
24
] | 84 | [
"11+3=14",
"49*24=1176",
"1176/14=84"
] | Current State: 84:[11, 49, 3, 24], Operations: []
Exploring Operation: 11+3=14, Resulting Numbers: [49, 24, 14]
Generated Node #2: [49, 24, 14] from Operation: 11+3=14
Current State: 84:[49, 24, 14], Operations: ['11+3=14']
Exploring Operation: 49*24=1176, Resulting Numbers: [14, 1176]
Generated Node #3: [14, 1176] from Operation: 49*24=1176
Current State: 84:[14, 1176], Operations: ['11+3=14', '49*24=1176']
Exploring Operation: 1176/14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[11, 49, 3, 24], Operations: []
Exploring Operation: 49-11=38, Resulting Numbers: [3, 24, 38]
Generated Node #0,0: 84:[3, 24, 38] Operation: 49-11=38
Exploring Operation: 24-11=13, Resulting Numbers: [49, 3, 13]
Generated Node #0,1: 84:[49, 3, 13] Operation: 24-11=13
Exploring Operation: 24-3=21, Resulting Numbers: [11, 49, 21]
Generated Node #0,2: 84:[11, 49, 21] Operation: 24-3=21
Exploring Operation: 49-24=25, Resulting Numbers: [11, 3, 25]
Generated Node #0,3: 84:[11, 3, 25] Operation: 49-24=25
Exploring Operation: 49-3=46, Resulting Numbers: [11, 24, 46]
Generated Node #0,4: 84:[11, 24, 46] Operation: 49-3=46
Moving to Node #0,3
Current State: 84:[11, 3, 25], Operations: ['49-24=25']
Exploring Operation: 25-3=22, Resulting Numbers: [11, 22]
Generated Node #0,3,0: 84:[11, 22] Operation: 25-3=22
Exploring Operation: 11+3=14, Resulting Numbers: [25, 14]
Generated Node #0,3,1: 84:[25, 14] Operation: 11+3=14
Exploring Operation: 3+25=28, Resulting Numbers: [11, 28]
Generated Node #0,3,2: 84:[11, 28] Operation: 3+25=28
Exploring Operation: 25-11=14, Resulting Numbers: [3, 14]
Generated Node #0,3,3: 84:[3, 14] Operation: 25-11=14
Exploring Operation: 11-3=8, Resulting Numbers: [25, 8]
Generated Node #0,3,4: 84:[25, 8] Operation: 11-3=8
Moving to Node #0,0
Current State: 84:[3, 24, 38], Operations: ['49-11=38']
Exploring Operation: 3+38=41, Resulting Numbers: [24, 41]
Generated Node #0,0,0: 84:[24, 41] Operation: 3+38=41
Exploring Operation: 24/3=8, Resulting Numbers: [38, 8]
Generated Node #0,0,1: 84:[38, 8] Operation: 24/3=8
Exploring Operation: 3+24=27, Resulting Numbers: [38, 27]
Generated Node #0,0,2: 84:[38, 27] Operation: 3+24=27
Exploring Operation: 38-24=14, Resulting Numbers: [3, 14]
Generated Node #0,0,3: 84:[3, 14] Operation: 38-24=14
Exploring Operation: 24-3=21, Resulting Numbers: [38, 21]
Generated Node #0,0,4: 84:[38, 21] Operation: 24-3=21
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 84:[3, 14], Operations: ['49-11=38', '38-24=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,84 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 84:[24, 41], Operations: ['49-11=38', '3+38=41']
Exploring Operation: 24+41=65, Resulting Numbers: [65]
65,84 unequal: No Solution
Exploring Operation: 24*41=984, Resulting Numbers: [984]
984,84 unequal: No Solution
Exploring Operation: 41-24=17, Resulting Numbers: [17]
17,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 84:[38, 21], Operations: ['49-11=38', '24-3=21']
Exploring Operation: 38*21=798, Resulting Numbers: [798]
798,84 unequal: No Solution
Exploring Operation: 38-21=17, Resulting Numbers: [17]
17,84 unequal: No Solution
Exploring Operation: 38+21=59, Resulting Numbers: [59]
59,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 84:[38, 8], Operations: ['49-11=38', '24/3=8']
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,84 unequal: No Solution
Exploring Operation: 38+8=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Exploring Operation: 38*8=304, Resulting Numbers: [304]
304,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 84:[38, 27], Operations: ['49-11=38', '3+24=27']
Exploring Operation: 38*27=1026, Resulting Numbers: [1026]
1026,84 unequal: No Solution
Exploring Operation: 38+27=65, Resulting Numbers: [65]
65,84 unequal: No Solution
Exploring Operation: 38-27=11, Resulting Numbers: [11]
11,84 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: 84:[49, 3, 13], Operations: ['24-11=13']
Exploring Operation: 3+13=16, Resulting Numbers: [49, 16]
Generated Node #0,1,0: 84:[49, 16] Operation: 3+13=16
Exploring Operation: 13-3=10, Resulting Numbers: [49, 10]
Generated Node #0,1,1: 84:[49, 10] Operation: 13-3=10
Exploring Operation: 49-13=36, Resulting Numbers: [3, 36]
Generated Node #0,1,2: 84:[3, 36] Operation: 49-13=36
Exploring Operation: 3*13=39, Resulting Numbers: [49, 39]
Generated Node #0,1,3: 84:[49, 39] Operation: 3*13=39
Exploring Operation: 49-3=46, Resulting Numbers: [13, 46]
Generated Node #0,1,4: 84:[13, 46] Operation: 49-3=46
Moving to Node #0,2
Current State: 84:[11, 49, 21], Operations: ['24-3=21']
Exploring Operation: 49-11=38, Resulting Numbers: [21, 38]
Generated Node #0,2,0: 84:[21, 38] Operation: 49-11=38
Exploring Operation: 49+21=70, Resulting Numbers: [11, 70]
Generated Node #0,2,1: 84:[11, 70] Operation: 49+21=70
Exploring Operation: 21-11=10, Resulting Numbers: [49, 10]
Generated Node #0,2,2: 84:[49, 10] Operation: 21-11=10
Exploring Operation: 11+21=32, Resulting Numbers: [49, 32]
Generated Node #0,2,3: 84:[49, 32] Operation: 11+21=32
Exploring Operation: 49-21=28, Resulting Numbers: [11, 28]
Generated Node #0,2,4: 84:[11, 28] Operation: 49-21=28
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 84:[11, 28], Operations: ['24-3=21', '49-21=28']
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,84 unequal: No Solution
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,84 unequal: No Solution
Exploring Operation: 11*28=308, Resulting Numbers: [308]
308,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 84:[21, 38], Operations: ['24-3=21', '49-11=38']
Exploring Operation: 21*38=798, Resulting Numbers: [798]
798,84 unequal: No Solution
Exploring Operation: 21+38=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 38-21=17, Resulting Numbers: [17]
17,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 84:[49, 10], Operations: ['24-3=21', '21-11=10']
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,84 unequal: No Solution
Exploring Operation: 49+10=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 49*10=490, Resulting Numbers: [490]
490,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 84:[49, 32], Operations: ['24-3=21', '11+21=32']
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,84 unequal: No Solution
Exploring Operation: 49*32=1568, Resulting Numbers: [1568]
1568,84 unequal: No Solution
Exploring Operation: 49+32=81, Resulting Numbers: [81]
81,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 84:[11, 70], Operations: ['24-3=21', '49+21=70']
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 11+70=81, Resulting Numbers: [81]
81,84 unequal: No Solution
Exploring Operation: 11*70=770, Resulting Numbers: [770]
770,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 84:[11, 24, 46], Operations: ['49-3=46']
Exploring Operation: 24+46=70, Resulting Numbers: [11, 70]
Generated Node #0,4,0: 84:[11, 70] Operation: 24+46=70
Exploring Operation: 46-11=35, Resulting Numbers: [24, 35]
Generated Node #0,4,1: 84:[24, 35] Operation: 46-11=35
Exploring Operation: 11+24=35, Resulting Numbers: [46, 35]
Generated Node #0,4,2: 84:[46, 35] Operation: 11+24=35
Exploring Operation: 46-24=22, Resulting Numbers: [11, 22]
Generated Node #0,4,3: 84:[11, 22] Operation: 46-24=22
Exploring Operation: 24-11=13, Resulting Numbers: [46, 13]
Generated Node #0,4,4: 84:[46, 13] Operation: 24-11=13
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 84:[11, 22], Operations: ['49-3=46', '46-24=22']
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 11*22=242, Resulting Numbers: [242]
242,84 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 11+22=33, Resulting Numbers: [33]
33,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 84:[46, 13], Operations: ['49-3=46', '24-11=13']
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,84 unequal: No Solution
Exploring Operation: 46+13=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 46*13=598, Resulting Numbers: [598]
598,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 84:[24, 35], Operations: ['49-3=46', '46-11=35']
Exploring Operation: 24+35=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 24*35=840, Resulting Numbers: [840]
840,84 unequal: No Solution
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 84:[46, 35], Operations: ['49-3=46', '11+24=35']
Exploring Operation: 46+35=81, Resulting Numbers: [81]
81,84 unequal: No Solution
Exploring Operation: 46*35=1610, Resulting Numbers: [1610]
1610,84 unequal: No Solution
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 84:[11, 70], Operations: ['49-3=46', '24+46=70']
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 11*70=770, Resulting Numbers: [770]
770,84 unequal: No Solution
Exploring Operation: 11+70=81, Resulting Numbers: [81]
81,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,3
Current State: 84:[3, 14], Operations: ['49-24=25', '25-11=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,84 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Moving to Node #0,3,2
Current State: 84:[11, 28], Operations: ['49-24=25', '3+25=28']
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,84 unequal: No Solution
Exploring Operation: 11*28=308, Resulting Numbers: [308]
308,84 unequal: No Solution
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,84 unequal: No Solution
Moving to Node #0,3,0
Current State: 84:[11, 22], Operations: ['49-24=25', '25-3=22']
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 11*22=242, Resulting Numbers: [242]
242,84 unequal: No Solution
Exploring Operation: 11+22=33, Resulting Numbers: [33]
33,84 unequal: No Solution
Moving to Node #0,3,1
Current State: 84:[25, 14], Operations: ['49-24=25', '11+3=14']
Exploring Operation: 25*14=350, Resulting Numbers: [350]
350,84 unequal: No Solution
Exploring Operation: 25+14=39, Resulting Numbers: [39]
39,84 unequal: No Solution
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Moving to Node #0,3,4
Current State: 84:[25, 8], Operations: ['49-24=25', '11-3=8']
Exploring Operation: 25*8=200, Resulting Numbers: [200]
200,84 unequal: No Solution
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,84 unequal: No Solution
Exploring Operation: 25+8=33, Resulting Numbers: [33]
33,84 unequal: No Solution
Moving to Node #0,1,4
Current State: 84:[13, 46], Operations: ['24-11=13', '49-3=46']
Exploring Operation: 13*46=598, Resulting Numbers: [598]
598,84 unequal: No Solution
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,84 unequal: No Solution
Exploring Operation: 13+46=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[3, 36], Operations: ['24-11=13', '49-13=36']
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,84 unequal: No Solution
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,84 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,84 unequal: No Solution
Exploring Operation: 3*36=108, Resulting Numbers: [108]
108,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[49, 10], Operations: ['24-11=13', '13-3=10']
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,84 unequal: No Solution
Exploring Operation: 49+10=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 49*10=490, Resulting Numbers: [490]
490,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[49, 16], Operations: ['24-11=13', '3+13=16']
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,84 unequal: No Solution
Exploring Operation: 49+16=65, Resulting Numbers: [65]
65,84 unequal: No Solution
Exploring Operation: 49*16=784, Resulting Numbers: [784]
784,84 unequal: No Solution
Moving to Node #0,1,3
Current State: 84:[49, 39], Operations: ['24-11=13', '3*13=39']
Exploring Operation: 49-39=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 49*39=1911, Resulting Numbers: [1911]
1911,84 unequal: No Solution
Exploring Operation: 49+39=88, Resulting Numbers: [88]
88,84 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
86,
98,
98,
9
] | 95 | [
"86+98=184",
"98-9=89",
"184-89=95"
] | Current State: 95:[86, 98, 98, 9], Operations: []
Exploring Operation: 86+98=184, Resulting Numbers: [9, 184]
Generated Node #2: [9, 184] from Operation: 86+98=184
Current State: 95:[9, 184], Operations: ['86+98=184']
Exploring Operation: 98-9=89, Resulting Numbers: [184, 89]
Generated Node #3: [184, 89] from Operation: 98-9=89
Current State: 95:[184, 89], Operations: ['86+98=184', '98-9=89']
Exploring Operation: 184-89=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[86, 98, 98, 9], Operations: []
Exploring Operation: 86+9=95, Resulting Numbers: [98, 98, 95]
Generated Node #0,0: 95:[98, 98, 95] Operation: 86+9=95
Exploring Operation: 98-86=12, Resulting Numbers: [98, 9, 12]
Generated Node #0,1: 95:[98, 9, 12] Operation: 98-86=12
Exploring Operation: 98-98=0, Resulting Numbers: [86, 9, 0]
Generated Node #0,2: 95:[86, 9, 0] Operation: 98-98=0
Exploring Operation: 98/98=1, Resulting Numbers: [86, 9, 1]
Generated Node #0,3: 95:[86, 9, 1] Operation: 98/98=1
Exploring Operation: 98-86=12, Resulting Numbers: [98, 9, 12]
Generated Node #0,4: 95:[98, 9, 12] Operation: 98-86=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[98, 98, 95], Operations: ['86+9=95']
Exploring Operation: 98-98=0, Resulting Numbers: [95, 0]
Generated Node #0,0,0: 95:[95, 0] Operation: 98-98=0
Exploring Operation: 98+98=196, Resulting Numbers: [95, 196]
Generated Node #0,0,1: 95:[95, 196] Operation: 98+98=196
Exploring Operation: 98-95=3, Resulting Numbers: [98, 3]
Generated Node #0,0,2: 95:[98, 3] Operation: 98-95=3
Exploring Operation: 98/98=1, Resulting Numbers: [95, 1]
Generated Node #0,0,3: 95:[95, 1] Operation: 98/98=1
Exploring Operation: 98-95=3, Resulting Numbers: [98, 3]
Generated Node #0,0,4: 95:[98, 3] Operation: 98-95=3
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 95:[95, 1], Operations: ['86+9=95', '98/98=1']
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,95 unequal: No Solution
Exploring Operation: 95*1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[86, 98, 98, 9], Operations: []
Exploring Operation: 86+9=95, Resulting Numbers: [98, 98, 95]
Generated Node #0,0: 95:[98, 98, 95] Operation: 86+9=95
Moving to Node #0,0
Current State: 95:[98, 98, 95], Operations: ['86+9=95']
Exploring Operation: 98/98=1, Resulting Numbers: [95, 1]
Generated Node #0,0,3: 95:[95, 1] Operation: 98/98=1
Moving to Node #0,0,3
Current State: 95:[95, 1], Operations: ['86+9=95', '98/98=1']
Exploring Operation: 95*1=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
11,
31,
44,
60
] | 46 | [
"44/11=4",
"60/4=15",
"31+15=46"
] | Current State: 46:[11, 31, 44, 60], Operations: []
Exploring Operation: 44/11=4, Resulting Numbers: [31, 60, 4]
Generated Node #2: [31, 60, 4] from Operation: 44/11=4
Current State: 46:[31, 60, 4], Operations: ['44/11=4']
Exploring Operation: 60/4=15, Resulting Numbers: [31, 15]
Generated Node #3: [31, 15] from Operation: 60/4=15
Current State: 46:[31, 15], Operations: ['44/11=4', '60/4=15']
Exploring Operation: 31+15=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[11, 31, 44, 60], Operations: []
Exploring Operation: 44/11=4, Resulting Numbers: [31, 60, 4]
Generated Node #0,0: 46:[31, 60, 4] Operation: 44/11=4
Exploring Operation: 11+31=42, Resulting Numbers: [44, 60, 42]
Generated Node #0,1: 46:[44, 60, 42] Operation: 11+31=42
Exploring Operation: 31-11=20, Resulting Numbers: [44, 60, 20]
Generated Node #0,2: 46:[44, 60, 20] Operation: 31-11=20
Exploring Operation: 60-31=29, Resulting Numbers: [11, 44, 29]
Generated Node #0,3: 46:[11, 44, 29] Operation: 60-31=29
Exploring Operation: 60-11=49, Resulting Numbers: [31, 44, 49]
Generated Node #0,4: 46:[31, 44, 49] Operation: 60-11=49
Start Sub Search at level 1: Moving to Node #0,4
Current State: 46:[31, 44, 49], Operations: ['60-11=49']
Exploring Operation: 44-31=13, Resulting Numbers: [49, 13]
Generated Node #0,4,0: 46:[49, 13] Operation: 44-31=13
Exploring Operation: 31+44=75, Resulting Numbers: [49, 75]
Generated Node #0,4,1: 46:[49, 75] Operation: 31+44=75
Exploring Operation: 49-31=18, Resulting Numbers: [44, 18]
Generated Node #0,4,2: 46:[44, 18] Operation: 49-31=18
Exploring Operation: 49-44=5, Resulting Numbers: [31, 5]
Generated Node #0,4,3: 46:[31, 5] Operation: 49-44=5
Exploring Operation: 31+49=80, Resulting Numbers: [44, 80]
Generated Node #0,4,4: 46:[44, 80] Operation: 31+49=80
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 46:[44, 18], Operations: ['60-11=49', '49-31=18']
Exploring Operation: 44+18=62, Resulting Numbers: [62]
62,46 unequal: No Solution
Exploring Operation: 44*18=792, Resulting Numbers: [792]
792,46 unequal: No Solution
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 46:[31, 5], Operations: ['60-11=49', '49-44=5']
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,46 unequal: No Solution
Exploring Operation: 31*5=155, Resulting Numbers: [155]
155,46 unequal: No Solution
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 46:[49, 13], Operations: ['60-11=49', '44-31=13']
Exploring Operation: 49+13=62, Resulting Numbers: [62]
62,46 unequal: No Solution
Exploring Operation: 49*13=637, Resulting Numbers: [637]
637,46 unequal: No Solution
Exploring Operation: 49-13=36, Resulting Numbers: [36]
36,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 46:[49, 75], Operations: ['60-11=49', '31+44=75']
Exploring Operation: 75-49=26, Resulting Numbers: [26]
26,46 unequal: No Solution
Exploring Operation: 49+75=124, Resulting Numbers: [124]
124,46 unequal: No Solution
Exploring Operation: 49*75=3675, Resulting Numbers: [3675]
3675,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 46:[44, 80], Operations: ['60-11=49', '31+49=80']
Exploring Operation: 44+80=124, Resulting Numbers: [124]
124,46 unequal: No Solution
Exploring Operation: 44*80=3520, Resulting Numbers: [3520]
3520,46 unequal: No Solution
Exploring Operation: 80-44=36, Resulting Numbers: [36]
36,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 46:[11, 44, 29], Operations: ['60-31=29']
Exploring Operation: 29-11=18, Resulting Numbers: [44, 18]
Generated Node #0,3,0: 46:[44, 18] Operation: 29-11=18
Exploring Operation: 11+44=55, Resulting Numbers: [29, 55]
Generated Node #0,3,1: 46:[29, 55] Operation: 11+44=55
Exploring Operation: 44-11=33, Resulting Numbers: [29, 33]
Generated Node #0,3,2: 46:[29, 33] Operation: 44-11=33
Exploring Operation: 44/11=4, Resulting Numbers: [29, 4]
Generated Node #0,3,3: 46:[29, 4] Operation: 44/11=4
Exploring Operation: 11+29=40, Resulting Numbers: [44, 40]
Generated Node #0,3,4: 46:[44, 40] Operation: 11+29=40
Moving to Node #0,3,0
Current State: 46:[44, 18], Operations: ['60-31=29', '29-11=18']
Exploring Operation: 44+18=62, Resulting Numbers: [62]
62,46 unequal: No Solution
Exploring Operation: 44*18=792, Resulting Numbers: [792]
792,46 unequal: No Solution
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,46 unequal: No Solution
Moving to Node #0,3,4
Current State: 46:[44, 40], Operations: ['60-31=29', '11+29=40']
Exploring Operation: 44+40=84, Resulting Numbers: [84]
84,46 unequal: No Solution
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,46 unequal: No Solution
Exploring Operation: 44*40=1760, Resulting Numbers: [1760]
1760,46 unequal: No Solution
Moving to Node #0,3,3
Current State: 46:[29, 4], Operations: ['60-31=29', '44/11=4']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,46 unequal: No Solution
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 29*4=116, Resulting Numbers: [116]
116,46 unequal: No Solution
Moving to Node #0,3,1
Current State: 46:[29, 55], Operations: ['60-31=29', '11+44=55']
Exploring Operation: 29+55=84, Resulting Numbers: [84]
84,46 unequal: No Solution
Exploring Operation: 55-29=26, Resulting Numbers: [26]
26,46 unequal: No Solution
Exploring Operation: 29*55=1595, Resulting Numbers: [1595]
1595,46 unequal: No Solution
Moving to Node #0,3,2
Current State: 46:[29, 33], Operations: ['60-31=29', '44-11=33']
Exploring Operation: 29*33=957, Resulting Numbers: [957]
957,46 unequal: No Solution
Exploring Operation: 33-29=4, Resulting Numbers: [4]
4,46 unequal: No Solution
Exploring Operation: 29+33=62, Resulting Numbers: [62]
62,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[44, 60, 20], Operations: ['31-11=20']
Exploring Operation: 60-20=40, Resulting Numbers: [44, 40]
Generated Node #0,2,0: 46:[44, 40] Operation: 60-20=40
Exploring Operation: 60-44=16, Resulting Numbers: [20, 16]
Generated Node #0,2,1: 46:[20, 16] Operation: 60-44=16
Exploring Operation: 60/20=3, Resulting Numbers: [44, 3]
Generated Node #0,2,2: 46:[44, 3] Operation: 60/20=3
Exploring Operation: 44+20=64, Resulting Numbers: [60, 64]
Generated Node #0,2,3: 46:[60, 64] Operation: 44+20=64
Exploring Operation: 44-20=24, Resulting Numbers: [60, 24]
Generated Node #0,2,4: 46:[60, 24] Operation: 44-20=24
Moving to Node #0,2,2
Current State: 46:[44, 3], Operations: ['31-11=20', '60/20=3']
Exploring Operation: 44*3=132, Resulting Numbers: [132]
132,46 unequal: No Solution
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,46 unequal: No Solution
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,46 unequal: No Solution
Moving to Node #0,2,0
Current State: 46:[44, 40], Operations: ['31-11=20', '60-20=40']
Exploring Operation: 44*40=1760, Resulting Numbers: [1760]
1760,46 unequal: No Solution
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,46 unequal: No Solution
Exploring Operation: 44+40=84, Resulting Numbers: [84]
84,46 unequal: No Solution
Moving to Node #0,2,1
Current State: 46:[20, 16], Operations: ['31-11=20', '60-44=16']
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,46 unequal: No Solution
Exploring Operation: 20+16=36, Resulting Numbers: [36]
36,46 unequal: No Solution
Exploring Operation: 20*16=320, Resulting Numbers: [320]
320,46 unequal: No Solution
Moving to Node #0,2,4
Current State: 46:[60, 24], Operations: ['31-11=20', '44-20=24']
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,46 unequal: No Solution
Exploring Operation: 60*24=1440, Resulting Numbers: [1440]
1440,46 unequal: No Solution
Exploring Operation: 60+24=84, Resulting Numbers: [84]
84,46 unequal: No Solution
Moving to Node #0,2,3
Current State: 46:[60, 64], Operations: ['31-11=20', '44+20=64']
Exploring Operation: 64-60=4, Resulting Numbers: [4]
4,46 unequal: No Solution
Exploring Operation: 60*64=3840, Resulting Numbers: [3840]
3840,46 unequal: No Solution
Exploring Operation: 60+64=124, Resulting Numbers: [124]
124,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[44, 60, 42], Operations: ['11+31=42']
Exploring Operation: 44-42=2, Resulting Numbers: [60, 2]
Generated Node #0,1,0: 46:[60, 2] Operation: 44-42=2
Exploring Operation: 60+42=102, Resulting Numbers: [44, 102]
Generated Node #0,1,1: 46:[44, 102] Operation: 60+42=102
Exploring Operation: 44+42=86, Resulting Numbers: [60, 86]
Generated Node #0,1,2: 46:[60, 86] Operation: 44+42=86
Exploring Operation: 60-44=16, Resulting Numbers: [42, 16]
Generated Node #0,1,3: 46:[42, 16] Operation: 60-44=16
Exploring Operation: 60-42=18, Resulting Numbers: [44, 18]
Generated Node #0,1,4: 46:[44, 18] Operation: 60-42=18
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 46:[44, 18], Operations: ['11+31=42', '60-42=18']
Exploring Operation: 44*18=792, Resulting Numbers: [792]
792,46 unequal: No Solution
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,46 unequal: No Solution
Exploring Operation: 44+18=62, Resulting Numbers: [62]
62,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 46:[42, 16], Operations: ['11+31=42', '60-44=16']
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,46 unequal: No Solution
Exploring Operation: 42+16=58, Resulting Numbers: [58]
58,46 unequal: No Solution
Exploring Operation: 42*16=672, Resulting Numbers: [672]
672,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 46:[60, 2], Operations: ['11+31=42', '44-42=2']
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,46 unequal: No Solution
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,46 unequal: No Solution
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,46 unequal: No Solution
Exploring Operation: 60*2=120, Resulting Numbers: [120]
120,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 46:[60, 86], Operations: ['11+31=42', '44+42=86']
Exploring Operation: 86-60=26, Resulting Numbers: [26]
26,46 unequal: No Solution
Exploring Operation: 60+86=146, Resulting Numbers: [146]
146,46 unequal: No Solution
Exploring Operation: 60*86=5160, Resulting Numbers: [5160]
5160,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 46:[44, 102], Operations: ['11+31=42', '60+42=102']
Exploring Operation: 44+102=146, Resulting Numbers: [146]
146,46 unequal: No Solution
Exploring Operation: 44*102=4488, Resulting Numbers: [4488]
4488,46 unequal: No Solution
Exploring Operation: 102-44=58, Resulting Numbers: [58]
58,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[31, 60, 4], Operations: ['44/11=4']
Exploring Operation: 60-31=29, Resulting Numbers: [4, 29]
Generated Node #0,0,0: 46:[4, 29] Operation: 60-31=29
Exploring Operation: 60-4=56, Resulting Numbers: [31, 56]
Generated Node #0,0,1: 46:[31, 56] Operation: 60-4=56
Exploring Operation: 60/4=15, Resulting Numbers: [31, 15]
Generated Node #0,0,2: 46:[31, 15] Operation: 60/4=15
Exploring Operation: 31+4=35, Resulting Numbers: [60, 35]
Generated Node #0,0,3: 46:[60, 35] Operation: 31+4=35
Exploring Operation: 31-4=27, Resulting Numbers: [60, 27]
Generated Node #0,0,4: 46:[60, 27] Operation: 31-4=27
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 46:[4, 29], Operations: ['44/11=4', '60-31=29']
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,46 unequal: No Solution
Exploring Operation: 4*29=116, Resulting Numbers: [116]
116,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 46:[31, 15], Operations: ['44/11=4', '60/4=15']
Exploring Operation: 31+15=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[11, 31, 44, 60], Operations: []
Exploring Operation: 44/11=4, Resulting Numbers: [31, 60, 4]
Generated Node #0,0: 46:[31, 60, 4] Operation: 44/11=4
Moving to Node #0,0
Current State: 46:[31, 60, 4], Operations: ['44/11=4']
Exploring Operation: 60/4=15, Resulting Numbers: [31, 15]
Generated Node #0,0,2: 46:[31, 15] Operation: 60/4=15
Moving to Node #0,0,2
Current State: 46:[31, 15], Operations: ['44/11=4', '60/4=15']
Exploring Operation: 31+15=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.914063 | hs_5 | mult_heuristic |
[
23,
19,
93,
7
] | 44 | [
"23+19=42",
"93-7=86",
"86-42=44"
] | Current State: 44:[23, 19, 93, 7], Operations: []
Exploring Operation: 23+19=42, Resulting Numbers: [93, 7, 42]
Generated Node #2: [93, 7, 42] from Operation: 23+19=42
Current State: 44:[93, 7, 42], Operations: ['23+19=42']
Exploring Operation: 93-7=86, Resulting Numbers: [42, 86]
Generated Node #3: [42, 86] from Operation: 93-7=86
Current State: 44:[42, 86], Operations: ['23+19=42', '93-7=86']
Exploring Operation: 86-42=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[23, 19, 93, 7], Operations: []
Exploring Operation: 93-23=70, Resulting Numbers: [19, 7, 70]
Generated Node #0,0: 44:[19, 7, 70] Operation: 93-23=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[19, 7, 70], Operations: ['93-23=70']
Exploring Operation: 70/7=10, Resulting Numbers: [19, 10]
Generated Node #0,0,0: 44:[19, 10] Operation: 70/7=10
Moving to Node #0,0,0
Current State: 44:[19, 10], Operations: ['93-23=70', '70/7=10']
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,44 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 |
[
38,
47,
90,
87
] | 67 | [
"90-87=3",
"38*3=114",
"114-47=67"
] | Current State: 67:[38, 47, 90, 87], Operations: []
Exploring Operation: 90-87=3, Resulting Numbers: [38, 47, 3]
Generated Node #2: [38, 47, 3] from Operation: 90-87=3
Current State: 67:[38, 47, 3], Operations: ['90-87=3']
Exploring Operation: 38*3=114, Resulting Numbers: [47, 114]
Generated Node #3: [47, 114] from Operation: 38*3=114
Current State: 67:[47, 114], Operations: ['90-87=3', '38*3=114']
Exploring Operation: 114-47=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[38, 47, 90, 87], Operations: []
Exploring Operation: 38+47=85, Resulting Numbers: [90, 87, 85]
Generated Node #0,0: 67:[90, 87, 85] Operation: 38+47=85
Exploring Operation: 90-38=52, Resulting Numbers: [47, 87, 52]
Generated Node #0,1: 67:[47, 87, 52] Operation: 90-38=52
Exploring Operation: 87-38=49, Resulting Numbers: [47, 90, 49]
Generated Node #0,2: 67:[47, 90, 49] Operation: 87-38=49
Moving to Node #0,1
Current State: 67:[47, 87, 52], Operations: ['90-38=52']
Exploring Operation: 47+52=99, Resulting Numbers: [87, 99]
Generated Node #0,1,0: 67:[87, 99] Operation: 47+52=99
Exploring Operation: 87-47=40, Resulting Numbers: [52, 40]
Generated Node #0,1,1: 67:[52, 40] Operation: 87-47=40
Exploring Operation: 87-52=35, Resulting Numbers: [47, 35]
Generated Node #0,1,2: 67:[47, 35] Operation: 87-52=35
Moving to Node #0,0
Current State: 67:[90, 87, 85], Operations: ['38+47=85']
Exploring Operation: 87-85=2, Resulting Numbers: [90, 2]
Generated Node #0,0,0: 67:[90, 2] Operation: 87-85=2
Exploring Operation: 90-85=5, Resulting Numbers: [87, 5]
Generated Node #0,0,1: 67:[87, 5] Operation: 90-85=5
Exploring Operation: 90-87=3, Resulting Numbers: [85, 3]
Generated Node #0,0,2: 67:[85, 3] Operation: 90-87=3
Moving to Node #0,2
Current State: 67:[47, 90, 49], Operations: ['87-38=49']
Exploring Operation: 90-49=41, Resulting Numbers: [47, 41]
Generated Node #0,2,0: 67:[47, 41] Operation: 90-49=41
Exploring Operation: 47+49=96, Resulting Numbers: [90, 96]
Generated Node #0,2,1: 67:[90, 96] Operation: 47+49=96
Exploring Operation: 90-47=43, Resulting Numbers: [49, 43]
Generated Node #0,2,2: 67:[49, 43] Operation: 90-47=43
Moving to Node #0,1,1
Current State: 67:[52, 40], Operations: ['90-38=52', '87-47=40']
Exploring Operation: 52-40=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Exploring Operation: 52+40=92, Resulting Numbers: [92]
92,67 unequal: No Solution
Exploring Operation: 52*40=2080, Resulting Numbers: [2080]
2080,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[49, 43], Operations: ['87-38=49', '90-47=43']
Exploring Operation: 49+43=92, Resulting Numbers: [92]
92,67 unequal: No Solution
Exploring Operation: 49-43=6, Resulting Numbers: [6]
6,67 unequal: No Solution
Exploring Operation: 49*43=2107, Resulting Numbers: [2107]
2107,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[47, 41], Operations: ['87-38=49', '90-49=41']
Exploring Operation: 47-41=6, Resulting Numbers: [6]
6,67 unequal: No Solution
Exploring Operation: 47*41=1927, Resulting Numbers: [1927]
1927,67 unequal: No Solution
Exploring Operation: 47+41=88, Resulting Numbers: [88]
88,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[47, 35], Operations: ['90-38=52', '87-52=35']
Exploring Operation: 47+35=82, Resulting Numbers: [82]
82,67 unequal: No Solution
Exploring Operation: 47-35=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Exploring Operation: 47*35=1645, Resulting Numbers: [1645]
1645,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[90, 96], Operations: ['87-38=49', '47+49=96']
Exploring Operation: 90+96=186, Resulting Numbers: [186]
186,67 unequal: No Solution
Exploring Operation: 90*96=8640, Resulting Numbers: [8640]
8640,67 unequal: No Solution
Exploring Operation: 96-90=6, Resulting Numbers: [6]
6,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[87, 99], Operations: ['90-38=52', '47+52=99']
Exploring Operation: 99-87=12, Resulting Numbers: [12]
12,67 unequal: No Solution
Exploring Operation: 87*99=8613, Resulting Numbers: [8613]
8613,67 unequal: No Solution
Exploring Operation: 87+99=186, Resulting Numbers: [186]
186,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[87, 5], Operations: ['38+47=85', '90-85=5']
Exploring Operation: 87*5=435, Resulting Numbers: [435]
435,67 unequal: No Solution
Exploring Operation: 87-5=82, Resulting Numbers: [82]
82,67 unequal: No Solution
Exploring Operation: 87+5=92, Resulting Numbers: [92]
92,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[85, 3], Operations: ['38+47=85', '90-87=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,67 unequal: No Solution
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,67 unequal: No Solution
Exploring Operation: 85*3=255, Resulting Numbers: [255]
255,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[90, 2], Operations: ['38+47=85', '87-85=2']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,67 unequal: No Solution
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,67 unequal: No Solution
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,67 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
36,
43,
23,
60
] | 76 | [
"43-36=7",
"23+60=83",
"83-7=76"
] | Current State: 76:[36, 43, 23, 60], Operations: []
Exploring Operation: 43-36=7, Resulting Numbers: [23, 60, 7]
Generated Node #2: [23, 60, 7] from Operation: 43-36=7
Current State: 76:[23, 60, 7], Operations: ['43-36=7']
Exploring Operation: 23+60=83, Resulting Numbers: [7, 83]
Generated Node #3: [7, 83] from Operation: 23+60=83
Current State: 76:[7, 83], Operations: ['43-36=7', '23+60=83']
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[36, 43, 23, 60], Operations: []
Exploring Operation: 60-43=17, Resulting Numbers: [36, 23, 17]
Generated Node #0,0: 76:[36, 23, 17] Operation: 60-43=17
Exploring Operation: 60-36=24, Resulting Numbers: [43, 23, 24]
Generated Node #0,1: 76:[43, 23, 24] Operation: 60-36=24
Exploring Operation: 43-23=20, Resulting Numbers: [36, 60, 20]
Generated Node #0,2: 76:[36, 60, 20] Operation: 43-23=20
Exploring Operation: 60-23=37, Resulting Numbers: [36, 43, 37]
Generated Node #0,3: 76:[36, 43, 37] Operation: 60-23=37
Exploring Operation: 23+60=83, Resulting Numbers: [36, 43, 83]
Generated Node #0,4: 76:[36, 43, 83] Operation: 23+60=83
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[36, 23, 17], Operations: ['60-43=17']
Exploring Operation: 23-17=6, Resulting Numbers: [36, 6]
Generated Node #0,0,0: 76:[36, 6] Operation: 23-17=6
Exploring Operation: 36+23=59, Resulting Numbers: [17, 59]
Generated Node #0,0,1: 76:[17, 59] Operation: 36+23=59
Exploring Operation: 36-23=13, Resulting Numbers: [17, 13]
Generated Node #0,0,2: 76:[17, 13] Operation: 36-23=13
Exploring Operation: 23+17=40, Resulting Numbers: [36, 40]
Generated Node #0,0,3: 76:[36, 40] Operation: 23+17=40
Exploring Operation: 36-17=19, Resulting Numbers: [23, 19]
Generated Node #0,0,4: 76:[23, 19] Operation: 36-17=19
Moving to Node #0,0,0
Current State: 76:[36, 6], Operations: ['60-43=17', '23-17=6']
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,76 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,76 unequal: No Solution
Exploring Operation: 36*6=216, Resulting Numbers: [216]
216,76 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Moving to Node #0,0,4
Current State: 76:[23, 19], Operations: ['60-43=17', '36-17=19']
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 23*19=437, Resulting Numbers: [437]
437,76 unequal: No Solution
Exploring Operation: 23+19=42, Resulting Numbers: [42]
42,76 unequal: No Solution
Moving to Node #0,0,3
Current State: 76:[36, 40], Operations: ['60-43=17', '23+17=40']
Exploring Operation: 36*40=1440, Resulting Numbers: [1440]
1440,76 unequal: No Solution
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 36+40=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[36, 43, 23, 60], Operations: []
Exploring Operation: 60-43=17, Resulting Numbers: [36, 23, 17]
Generated Node #0,0: 76:[36, 23, 17] Operation: 60-43=17
Moving to Node #0,0
Current State: 76:[36, 23, 17], Operations: ['60-43=17']
Exploring Operation: 23+17=40, Resulting Numbers: [36, 40]
Generated Node #0,0,3: 76:[36, 40] Operation: 23+17=40
Moving to Node #0,0,3
Current State: 76:[36, 40], Operations: ['60-43=17', '23+17=40']
Exploring Operation: 36+40=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_5 | mult_heuristic |
[
54,
48,
7,
34
] | 44 | [
"48-34=14",
"7*14=98",
"98-54=44"
] | Current State: 44:[54, 48, 7, 34], Operations: []
Exploring Operation: 48-34=14, Resulting Numbers: [54, 7, 14]
Generated Node #2: [54, 7, 14] from Operation: 48-34=14
Current State: 44:[54, 7, 14], Operations: ['48-34=14']
Exploring Operation: 7*14=98, Resulting Numbers: [54, 98]
Generated Node #3: [54, 98] from Operation: 7*14=98
Current State: 44:[54, 98], Operations: ['48-34=14', '7*14=98']
Exploring Operation: 98-54=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[54, 48, 7, 34], Operations: []
Exploring Operation: 54-48=6, Resulting Numbers: [7, 34, 6]
Generated Node #0,0: 44:[7, 34, 6] Operation: 54-48=6
Exploring Operation: 54-7=47, Resulting Numbers: [48, 34, 47]
Generated Node #0,1: 44:[48, 34, 47] Operation: 54-7=47
Exploring Operation: 54-34=20, Resulting Numbers: [48, 7, 20]
Generated Node #0,2: 44:[48, 7, 20] Operation: 54-34=20
Exploring Operation: 48-34=14, Resulting Numbers: [54, 7, 14]
Generated Node #0,3: 44:[54, 7, 14] Operation: 48-34=14
Exploring Operation: 7+34=41, Resulting Numbers: [54, 48, 41]
Generated Node #0,4: 44:[54, 48, 41] Operation: 7+34=41
Moving to Node #0,2
Current State: 44:[48, 7, 20], Operations: ['54-34=20']
Exploring Operation: 48-20=28, Resulting Numbers: [7, 28]
Generated Node #0,2,0: 44:[7, 28] Operation: 48-20=28
Exploring Operation: 48-7=41, Resulting Numbers: [20, 41]
Generated Node #0,2,1: 44:[20, 41] Operation: 48-7=41
Exploring Operation: 48+7=55, Resulting Numbers: [20, 55]
Generated Node #0,2,2: 44:[20, 55] Operation: 48+7=55
Exploring Operation: 7+20=27, Resulting Numbers: [48, 27]
Generated Node #0,2,3: 44:[48, 27] Operation: 7+20=27
Exploring Operation: 20-7=13, Resulting Numbers: [48, 13]
Generated Node #0,2,4: 44:[48, 13] Operation: 20-7=13
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 44:[20, 41], Operations: ['54-34=20', '48-7=41']
Exploring Operation: 20*41=820, Resulting Numbers: [820]
820,44 unequal: No Solution
Exploring Operation: 20+41=61, Resulting Numbers: [61]
61,44 unequal: No Solution
Exploring Operation: 41-20=21, Resulting Numbers: [21]
21,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 44:[48, 13], Operations: ['54-34=20', '20-7=13']
Exploring Operation: 48*13=624, Resulting Numbers: [624]
624,44 unequal: No Solution
Exploring Operation: 48+13=61, Resulting Numbers: [61]
61,44 unequal: No Solution
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 44:[7, 28], Operations: ['54-34=20', '48-20=28']
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,44 unequal: No Solution
Exploring Operation: 7+28=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 7*28=196, Resulting Numbers: [196]
196,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 44:[48, 27], Operations: ['54-34=20', '7+20=27']
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,44 unequal: No Solution
Exploring Operation: 48+27=75, Resulting Numbers: [75]
75,44 unequal: No Solution
Exploring Operation: 48*27=1296, Resulting Numbers: [1296]
1296,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 44:[20, 55], Operations: ['54-34=20', '48+7=55']
Exploring Operation: 55-20=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 20+55=75, Resulting Numbers: [75]
75,44 unequal: No Solution
Exploring Operation: 20*55=1100, Resulting Numbers: [1100]
1100,44 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: 44:[7, 34, 6], Operations: ['54-48=6']
Exploring Operation: 34-7=27, Resulting Numbers: [6, 27]
Generated Node #0,0,0: 44:[6, 27] Operation: 34-7=27
Exploring Operation: 34+6=40, Resulting Numbers: [7, 40]
Generated Node #0,0,1: 44:[7, 40] Operation: 34+6=40
Exploring Operation: 34-6=28, Resulting Numbers: [7, 28]
Generated Node #0,0,2: 44:[7, 28] Operation: 34-6=28
Exploring Operation: 7+34=41, Resulting Numbers: [6, 41]
Generated Node #0,0,3: 44:[6, 41] Operation: 7+34=41
Exploring Operation: 7-6=1, Resulting Numbers: [34, 1]
Generated Node #0,0,4: 44:[34, 1] Operation: 7-6=1
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 44:[6, 41], Operations: ['54-48=6', '7+34=41']
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 6+41=47, Resulting Numbers: [47]
47,44 unequal: No Solution
Exploring Operation: 6*41=246, Resulting Numbers: [246]
246,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[6, 27], Operations: ['54-48=6', '34-7=27']
Exploring Operation: 6+27=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,44 unequal: No Solution
Exploring Operation: 6*27=162, Resulting Numbers: [162]
162,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 44:[7, 40], Operations: ['54-48=6', '34+6=40']
Exploring Operation: 7+40=47, Resulting Numbers: [47]
47,44 unequal: No Solution
Exploring Operation: 7*40=280, Resulting Numbers: [280]
280,44 unequal: No Solution
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 44:[7, 28], Operations: ['54-48=6', '34-6=28']
Exploring Operation: 7+28=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 7*28=196, Resulting Numbers: [196]
196,44 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,44 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 44:[34, 1], Operations: ['54-48=6', '7-6=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,44 unequal: No Solution
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,44 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: 44:[54, 7, 14], Operations: ['48-34=14']
Exploring Operation: 54-14=40, Resulting Numbers: [7, 40]
Generated Node #0,3,0: 44:[7, 40] Operation: 54-14=40
Exploring Operation: 14/7=2, Resulting Numbers: [54, 2]
Generated Node #0,3,1: 44:[54, 2] Operation: 14/7=2
Exploring Operation: 7+14=21, Resulting Numbers: [54, 21]
Generated Node #0,3,2: 44:[54, 21] Operation: 7+14=21
Exploring Operation: 54-7=47, Resulting Numbers: [14, 47]
Generated Node #0,3,3: 44:[14, 47] Operation: 54-7=47
Exploring Operation: 14-7=7, Resulting Numbers: [54, 7]
Generated Node #0,3,4: 44:[54, 7] Operation: 14-7=7
Moving to Node #0,1
Current State: 44:[48, 34, 47], Operations: ['54-7=47']
Exploring Operation: 47-34=13, Resulting Numbers: [48, 13]
Generated Node #0,1,0: 44:[48, 13] Operation: 47-34=13
Exploring Operation: 34+47=81, Resulting Numbers: [48, 81]
Generated Node #0,1,1: 44:[48, 81] Operation: 34+47=81
Exploring Operation: 48-47=1, Resulting Numbers: [34, 1]
Generated Node #0,1,2: 44:[34, 1] Operation: 48-47=1
Exploring Operation: 48-34=14, Resulting Numbers: [47, 14]
Generated Node #0,1,3: 44:[47, 14] Operation: 48-34=14
Exploring Operation: 48+34=82, Resulting Numbers: [47, 82]
Generated Node #0,1,4: 44:[47, 82] Operation: 48+34=82
Moving to Node #0,4
Current State: 44:[54, 48, 41], Operations: ['7+34=41']
Exploring Operation: 54-48=6, Resulting Numbers: [41, 6]
Generated Node #0,4,0: 44:[41, 6] Operation: 54-48=6
Exploring Operation: 54-41=13, Resulting Numbers: [48, 13]
Generated Node #0,4,1: 44:[48, 13] Operation: 54-41=13
Exploring Operation: 48+41=89, Resulting Numbers: [54, 89]
Generated Node #0,4,2: 44:[54, 89] Operation: 48+41=89
Exploring Operation: 48-41=7, Resulting Numbers: [54, 7]
Generated Node #0,4,3: 44:[54, 7] Operation: 48-41=7
Exploring Operation: 54+41=95, Resulting Numbers: [48, 95]
Generated Node #0,4,4: 44:[48, 95] Operation: 54+41=95
Moving to Node #0,4,0
Current State: 44:[41, 6], Operations: ['7+34=41', '54-48=6']
Exploring Operation: 41+6=47, Resulting Numbers: [47]
47,44 unequal: No Solution
Exploring Operation: 41*6=246, Resulting Numbers: [246]
246,44 unequal: No Solution
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[48, 13], Operations: ['54-7=47', '47-34=13']
Exploring Operation: 48*13=624, Resulting Numbers: [624]
624,44 unequal: No Solution
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 48+13=61, Resulting Numbers: [61]
61,44 unequal: No Solution
Moving to Node #0,1,3
Current State: 44:[47, 14], Operations: ['54-7=47', '48-34=14']
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 47*14=658, Resulting Numbers: [658]
658,44 unequal: No Solution
Exploring Operation: 47+14=61, Resulting Numbers: [61]
61,44 unequal: No Solution
Moving to Node #0,4,1
Current State: 44:[48, 13], Operations: ['7+34=41', '54-41=13']
Exploring Operation: 48+13=61, Resulting Numbers: [61]
61,44 unequal: No Solution
Exploring Operation: 48*13=624, Resulting Numbers: [624]
624,44 unequal: No Solution
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Moving to Node #0,3,3
Current State: 44:[14, 47], Operations: ['48-34=14', '54-7=47']
Exploring Operation: 14*47=658, Resulting Numbers: [658]
658,44 unequal: No Solution
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 14+47=61, Resulting Numbers: [61]
61,44 unequal: No Solution
Moving to Node #0,3,0
Current State: 44:[7, 40], Operations: ['48-34=14', '54-14=40']
Exploring Operation: 7*40=280, Resulting Numbers: [280]
280,44 unequal: No Solution
Exploring Operation: 7+40=47, Resulting Numbers: [47]
47,44 unequal: No Solution
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Moving to Node #0,3,1
Current State: 44:[54, 2], Operations: ['48-34=14', '14/7=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,44 unequal: No Solution
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,44 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,44 unequal: No Solution
Exploring Operation: 54*2=108, Resulting Numbers: [108]
108,44 unequal: No Solution
Moving to Node #0,3,2
Current State: 44:[54, 21], Operations: ['48-34=14', '7+14=21']
Exploring Operation: 54-21=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 54*21=1134, Resulting Numbers: [1134]
1134,44 unequal: No Solution
Exploring Operation: 54+21=75, Resulting Numbers: [75]
75,44 unequal: No Solution
Moving to Node #0,1,2
Current State: 44:[34, 1], Operations: ['54-7=47', '48-47=1']
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,44 unequal: No Solution
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,44 unequal: No Solution
Moving to Node #0,4,3
Current State: 44:[54, 7], Operations: ['7+34=41', '48-41=7']
Exploring Operation: 54-7=47, Resulting Numbers: [47]
47,44 unequal: No Solution
Exploring Operation: 54+7=61, Resulting Numbers: [61]
61,44 unequal: No Solution
Exploring Operation: 54*7=378, Resulting Numbers: [378]
378,44 unequal: No Solution
Moving to Node #0,3,4
Current State: 44:[54, 7], Operations: ['48-34=14', '14-7=7']
Exploring Operation: 54+7=61, Resulting Numbers: [61]
61,44 unequal: No Solution
Exploring Operation: 54-7=47, Resulting Numbers: [47]
47,44 unequal: No Solution
Exploring Operation: 54*7=378, Resulting Numbers: [378]
378,44 unequal: No Solution
Moving to Node #0,1,4
Current State: 44:[47, 82], Operations: ['54-7=47', '48+34=82']
Exploring Operation: 47+82=129, Resulting Numbers: [129]
129,44 unequal: No Solution
Exploring Operation: 82-47=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 47*82=3854, Resulting Numbers: [3854]
3854,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[48, 81], Operations: ['54-7=47', '34+47=81']
Exploring Operation: 48+81=129, Resulting Numbers: [129]
129,44 unequal: No Solution
Exploring Operation: 48*81=3888, Resulting Numbers: [3888]
3888,44 unequal: No Solution
Exploring Operation: 81-48=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Moving to Node #0,4,2
Current State: 44:[54, 89], Operations: ['7+34=41', '48+41=89']
Exploring Operation: 89-54=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 54+89=143, Resulting Numbers: [143]
143,44 unequal: No Solution
Exploring Operation: 54*89=4806, Resulting Numbers: [4806]
4806,44 unequal: No Solution
Moving to Node #0,4,4
Current State: 44:[48, 95], Operations: ['7+34=41', '54+41=95']
Exploring Operation: 95-48=47, Resulting Numbers: [47]
47,44 unequal: No Solution
Exploring Operation: 48+95=143, Resulting Numbers: [143]
143,44 unequal: No Solution
Exploring Operation: 48*95=4560, Resulting Numbers: [4560]
4560,44 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
15,
51,
19,
56
] | 84 | [
"15+19=34",
"51*56=2856",
"2856/34=84"
] | Current State: 84:[15, 51, 19, 56], Operations: []
Exploring Operation: 15+19=34, Resulting Numbers: [51, 56, 34]
Generated Node #2: [51, 56, 34] from Operation: 15+19=34
Current State: 84:[51, 56, 34], Operations: ['15+19=34']
Exploring Operation: 51*56=2856, Resulting Numbers: [34, 2856]
Generated Node #3: [34, 2856] from Operation: 51*56=2856
Current State: 84:[34, 2856], Operations: ['15+19=34', '51*56=2856']
Exploring Operation: 2856/34=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[15, 51, 19, 56], Operations: []
Exploring Operation: 51-19=32, Resulting Numbers: [15, 56, 32]
Generated Node #0,0: 84:[15, 56, 32] Operation: 51-19=32
Exploring Operation: 56-15=41, Resulting Numbers: [51, 19, 41]
Generated Node #0,1: 84:[51, 19, 41] Operation: 56-15=41
Exploring Operation: 56-51=5, Resulting Numbers: [15, 19, 5]
Generated Node #0,2: 84:[15, 19, 5] Operation: 56-51=5
Exploring Operation: 56-19=37, Resulting Numbers: [15, 51, 37]
Generated Node #0,3: 84:[15, 51, 37] Operation: 56-19=37
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[15, 19, 5], Operations: ['56-51=5']
Exploring Operation: 15/5=3, Resulting Numbers: [19, 3]
Generated Node #0,2,0: 84:[19, 3] Operation: 15/5=3
Exploring Operation: 19-15=4, Resulting Numbers: [5, 4]
Generated Node #0,2,1: 84:[5, 4] Operation: 19-15=4
Exploring Operation: 19-5=14, Resulting Numbers: [15, 14]
Generated Node #0,2,2: 84:[15, 14] Operation: 19-5=14
Exploring Operation: 15+5=20, Resulting Numbers: [19, 20]
Generated Node #0,2,3: 84:[19, 20] Operation: 15+5=20
Moving to Node #0,2,1
Current State: 84:[5, 4], Operations: ['56-51=5', '19-15=4']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Moving to Node #0,2,2
Current State: 84:[15, 14], Operations: ['56-51=5', '19-5=14']
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,84 unequal: No Solution
Exploring Operation: 15*14=210, Resulting Numbers: [210]
210,84 unequal: No Solution
Moving to Node #0,2,0
Current State: 84:[19, 3], Operations: ['56-51=5', '15/5=3']
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,84 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,84 unequal: No Solution
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,84 unequal: No Solution
Moving to Node #0,2,3
Current State: 84:[19, 20], Operations: ['56-51=5', '15+5=20']
Exploring Operation: 19*20=380, Resulting Numbers: [380]
380,84 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 19+20=39, Resulting Numbers: [39]
39,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[51, 19, 41], Operations: ['56-15=41']
Exploring Operation: 41-19=22, Resulting Numbers: [51, 22]
Generated Node #0,1,0: 84:[51, 22] Operation: 41-19=22
Exploring Operation: 51+41=92, Resulting Numbers: [19, 92]
Generated Node #0,1,1: 84:[19, 92] Operation: 51+41=92
Exploring Operation: 51-19=32, Resulting Numbers: [41, 32]
Generated Node #0,1,2: 84:[41, 32] Operation: 51-19=32
Exploring Operation: 51-41=10, Resulting Numbers: [19, 10]
Generated Node #0,1,3: 84:[19, 10] Operation: 51-41=10
Moving to Node #0,1,3
Current State: 84:[19, 10], Operations: ['56-15=41', '51-41=10']
Exploring Operation: 19*10=190, Resulting Numbers: [190]
190,84 unequal: No Solution
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,84 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[41, 32], Operations: ['56-15=41', '51-19=32']
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Exploring Operation: 41+32=73, Resulting Numbers: [73]
73,84 unequal: No Solution
Exploring Operation: 41*32=1312, Resulting Numbers: [1312]
1312,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[19, 92], Operations: ['56-15=41', '51+41=92']
Exploring Operation: 19*92=1748, Resulting Numbers: [1748]
1748,84 unequal: No Solution
Exploring Operation: 19+92=111, Resulting Numbers: [111]
111,84 unequal: No Solution
Exploring Operation: 92-19=73, Resulting Numbers: [73]
73,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[51, 22], Operations: ['56-15=41', '41-19=22']
Exploring Operation: 51*22=1122, Resulting Numbers: [1122]
1122,84 unequal: No Solution
Exploring Operation: 51+22=73, Resulting Numbers: [73]
73,84 unequal: No Solution
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 84:[15, 51, 37], Operations: ['56-19=37']
Exploring Operation: 51-37=14, Resulting Numbers: [15, 14]
Generated Node #0,3,0: 84:[15, 14] Operation: 51-37=14
Exploring Operation: 37-15=22, Resulting Numbers: [51, 22]
Generated Node #0,3,1: 84:[51, 22] Operation: 37-15=22
Exploring Operation: 51-15=36, Resulting Numbers: [37, 36]
Generated Node #0,3,2: 84:[37, 36] Operation: 51-15=36
Exploring Operation: 51+37=88, Resulting Numbers: [15, 88]
Generated Node #0,3,3: 84:[15, 88] Operation: 51+37=88
Moving to Node #0,3,0
Current State: 84:[15, 14], Operations: ['56-19=37', '51-37=14']
Exploring Operation: 15*14=210, Resulting Numbers: [210]
210,84 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,84 unequal: No Solution
Moving to Node #0,3,3
Current State: 84:[15, 88], Operations: ['56-19=37', '51+37=88']
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,84 unequal: No Solution
Exploring Operation: 15+88=103, Resulting Numbers: [103]
103,84 unequal: No Solution
Exploring Operation: 15*88=1320, Resulting Numbers: [1320]
1320,84 unequal: No Solution
Moving to Node #0,3,1
Current State: 84:[51, 22], Operations: ['56-19=37', '37-15=22']
Exploring Operation: 51+22=73, Resulting Numbers: [73]
73,84 unequal: No Solution
Exploring Operation: 51*22=1122, Resulting Numbers: [1122]
1122,84 unequal: No Solution
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,84 unequal: No Solution
Moving to Node #0,3,2
Current State: 84:[37, 36], Operations: ['56-19=37', '51-15=36']
Exploring Operation: 37+36=73, Resulting Numbers: [73]
73,84 unequal: No Solution
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 37*36=1332, Resulting Numbers: [1332]
1332,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[15, 56, 32], Operations: ['51-19=32']
Exploring Operation: 15+56=71, Resulting Numbers: [32, 71]
Generated Node #0,0,0: 84:[32, 71] Operation: 15+56=71
Exploring Operation: 56-32=24, Resulting Numbers: [15, 24]
Generated Node #0,0,1: 84:[15, 24] Operation: 56-32=24
Exploring Operation: 56+32=88, Resulting Numbers: [15, 88]
Generated Node #0,0,2: 84:[15, 88] Operation: 56+32=88
Exploring Operation: 56-15=41, Resulting Numbers: [32, 41]
Generated Node #0,0,3: 84:[32, 41] Operation: 56-15=41
Moving to Node #0,0,1
Current State: 84:[15, 24], Operations: ['51-19=32', '56-32=24']
Exploring Operation: 15*24=360, Resulting Numbers: [360]
360,84 unequal: No Solution
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,84 unequal: No Solution
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Moving to Node #0,0,3
Current State: 84:[32, 41], Operations: ['51-19=32', '56-15=41']
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Exploring Operation: 32+41=73, Resulting Numbers: [73]
73,84 unequal: No Solution
Exploring Operation: 32*41=1312, Resulting Numbers: [1312]
1312,84 unequal: No Solution
Moving to Node #0,0,2
Current State: 84:[15, 88], Operations: ['51-19=32', '56+32=88']
Exploring Operation: 15+88=103, Resulting Numbers: [103]
103,84 unequal: No Solution
Exploring Operation: 15*88=1320, Resulting Numbers: [1320]
1320,84 unequal: No Solution
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,84 unequal: No Solution
Moving to Node #0,0,0
Current State: 84:[32, 71], Operations: ['51-19=32', '15+56=71']
Exploring Operation: 32+71=103, Resulting Numbers: [103]
103,84 unequal: No Solution
Exploring Operation: 71-32=39, Resulting Numbers: [39]
39,84 unequal: No Solution
Exploring Operation: 32*71=2272, Resulting Numbers: [2272]
2272,84 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 |
[
6,
76,
13,
75
] | 73 | [
"6*13=78",
"76+75=151",
"151-78=73"
] | Current State: 73:[6, 76, 13, 75], Operations: []
Exploring Operation: 6*13=78, Resulting Numbers: [76, 75, 78]
Generated Node #2: [76, 75, 78] from Operation: 6*13=78
Current State: 73:[76, 75, 78], Operations: ['6*13=78']
Exploring Operation: 76+75=151, Resulting Numbers: [78, 151]
Generated Node #3: [78, 151] from Operation: 76+75=151
Current State: 73:[78, 151], Operations: ['6*13=78', '76+75=151']
Exploring Operation: 151-78=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[6, 76, 13, 75], Operations: []
Exploring Operation: 76-6=70, Resulting Numbers: [13, 75, 70]
Generated Node #0,0: 73:[13, 75, 70] Operation: 76-6=70
Exploring Operation: 75-6=69, Resulting Numbers: [76, 13, 69]
Generated Node #0,1: 73:[76, 13, 69] Operation: 75-6=69
Exploring Operation: 6+13=19, Resulting Numbers: [76, 75, 19]
Generated Node #0,2: 73:[76, 75, 19] Operation: 6+13=19
Exploring Operation: 6*13=78, Resulting Numbers: [76, 75, 78]
Generated Node #0,3: 73:[76, 75, 78] Operation: 6*13=78
Start Sub Search at level 1: Moving to Node #0,3
Current State: 73:[76, 75, 78], Operations: ['6*13=78']
Exploring Operation: 78-76=2, Resulting Numbers: [75, 2]
Generated Node #0,3,0: 73:[75, 2] Operation: 78-76=2
Exploring Operation: 76+75=151, Resulting Numbers: [78, 151]
Generated Node #0,3,1: 73:[78, 151] Operation: 76+75=151
Exploring Operation: 78-75=3, Resulting Numbers: [76, 3]
Generated Node #0,3,2: 73:[76, 3] Operation: 78-75=3
Exploring Operation: 76-75=1, Resulting Numbers: [78, 1]
Generated Node #0,3,3: 73:[78, 1] Operation: 76-75=1
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 73:[75, 2], Operations: ['6*13=78', '78-76=2']
Exploring Operation: 75+2=77, Resulting Numbers: [77]
77,73 unequal: No Solution
Exploring Operation: 75*2=150, Resulting Numbers: [150]
150,73 unequal: No Solution
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[6, 76, 13, 75], Operations: []
Exploring Operation: 6*13=78, Resulting Numbers: [76, 75, 78]
Generated Node #0,3: 73:[76, 75, 78] Operation: 6*13=78
Moving to Node #0,3
Current State: 73:[76, 75, 78], Operations: ['6*13=78']
Exploring Operation: 78-76=2, Resulting Numbers: [75, 2]
Generated Node #0,3,0: 73:[75, 2] Operation: 78-76=2
Moving to Node #0,3,0
Current State: 73:[75, 2], Operations: ['6*13=78', '78-76=2']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
58,
41,
69,
4
] | 56 | [
"58-41=17",
"69+4=73",
"73-17=56"
] | Current State: 56:[58, 41, 69, 4], Operations: []
Exploring Operation: 58-41=17, Resulting Numbers: [69, 4, 17]
Generated Node #2: [69, 4, 17] from Operation: 58-41=17
Current State: 56:[69, 4, 17], Operations: ['58-41=17']
Exploring Operation: 69+4=73, Resulting Numbers: [17, 73]
Generated Node #3: [17, 73] from Operation: 69+4=73
Current State: 56:[17, 73], Operations: ['58-41=17', '69+4=73']
Exploring Operation: 73-17=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[58, 41, 69, 4], Operations: []
Exploring Operation: 69-41=28, Resulting Numbers: [58, 4, 28]
Generated Node #0,0: 56:[58, 4, 28] Operation: 69-41=28
Exploring Operation: 58-41=17, Resulting Numbers: [69, 4, 17]
Generated Node #0,1: 56:[69, 4, 17] Operation: 58-41=17
Exploring Operation: 69-58=11, Resulting Numbers: [41, 4, 11]
Generated Node #0,2: 56:[41, 4, 11] Operation: 69-58=11
Exploring Operation: 41-4=37, Resulting Numbers: [58, 69, 37]
Generated Node #0,3: 56:[58, 69, 37] Operation: 41-4=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[58, 4, 28], Operations: ['69-41=28']
Exploring Operation: 58-28=30, Resulting Numbers: [4, 30]
Generated Node #0,0,0: 56:[4, 30] Operation: 58-28=30
Exploring Operation: 58-4=54, Resulting Numbers: [28, 54]
Generated Node #0,0,1: 56:[28, 54] Operation: 58-4=54
Exploring Operation: 28/4=7, Resulting Numbers: [58, 7]
Generated Node #0,0,2: 56:[58, 7] Operation: 28/4=7
Exploring Operation: 58+4=62, Resulting Numbers: [28, 62]
Generated Node #0,0,3: 56:[28, 62] Operation: 58+4=62
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 56:[4, 30], Operations: ['69-41=28', '58-28=30']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,56 unequal: No Solution
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 56:[28, 54], Operations: ['69-41=28', '58-4=54']
Exploring Operation: 54-28=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Exploring Operation: 28*54=1512, Resulting Numbers: [1512]
1512,56 unequal: No Solution
Exploring Operation: 28+54=82, Resulting Numbers: [82]
82,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 56:[58, 7], Operations: ['69-41=28', '28/4=7']
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,56 unequal: No Solution
Exploring Operation: 58*7=406, Resulting Numbers: [406]
406,56 unequal: No Solution
Exploring Operation: 58+7=65, Resulting Numbers: [65]
65,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 56:[28, 62], Operations: ['69-41=28', '58+4=62']
Exploring Operation: 28+62=90, Resulting Numbers: [90]
90,56 unequal: No Solution
Exploring Operation: 28*62=1736, Resulting Numbers: [1736]
1736,56 unequal: No Solution
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[69, 4, 17], Operations: ['58-41=17']
Exploring Operation: 69-4=65, Resulting Numbers: [17, 65]
Generated Node #0,1,0: 56:[17, 65] Operation: 69-4=65
Exploring Operation: 17-4=13, Resulting Numbers: [69, 13]
Generated Node #0,1,1: 56:[69, 13] Operation: 17-4=13
Exploring Operation: 69-17=52, Resulting Numbers: [4, 52]
Generated Node #0,1,2: 56:[4, 52] Operation: 69-17=52
Exploring Operation: 69+4=73, Resulting Numbers: [17, 73]
Generated Node #0,1,3: 56:[17, 73] Operation: 69+4=73
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 56:[4, 52], Operations: ['58-41=17', '69-17=52']
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[58, 41, 69, 4], Operations: []
Exploring Operation: 58-41=17, Resulting Numbers: [69, 4, 17]
Generated Node #0,1: 56:[69, 4, 17] Operation: 58-41=17
Moving to Node #0,1
Current State: 56:[69, 4, 17], Operations: ['58-41=17']
Exploring Operation: 69-17=52, Resulting Numbers: [4, 52]
Generated Node #0,1,2: 56:[4, 52] Operation: 69-17=52
Moving to Node #0,1,2
Current State: 56:[4, 52], Operations: ['58-41=17', '69-17=52']
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.974826 | hs_4 | mult_heuristic |
[
83,
85,
19,
80
] | 42 | [
"85-83=2",
"19*2=38",
"80-38=42"
] | Current State: 42:[83, 85, 19, 80], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [19, 80, 2]
Generated Node #2: [19, 80, 2] from Operation: 85-83=2
Current State: 42:[19, 80, 2], Operations: ['85-83=2']
Exploring Operation: 19*2=38, Resulting Numbers: [80, 38]
Generated Node #3: [80, 38] from Operation: 19*2=38
Current State: 42:[80, 38], Operations: ['85-83=2', '19*2=38']
Exploring Operation: 80-38=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[83, 85, 19, 80], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [19, 80, 2]
Generated Node #0,0: 42:[19, 80, 2] Operation: 85-83=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[19, 80, 2], Operations: ['85-83=2']
Exploring Operation: 80/2=40, Resulting Numbers: [19, 40]
Generated Node #0,0,0: 42:[19, 40] Operation: 80/2=40
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 42:[19, 40], Operations: ['85-83=2', '80/2=40']
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,42 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_1 | sum_heuristic |
[
73,
26,
13,
52
] | 69 | [
"26-13=13",
"52/13=4",
"73-4=69"
] | Current State: 69:[73, 26, 13, 52], Operations: []
Exploring Operation: 26-13=13, Resulting Numbers: [73, 52, 13]
Generated Node #2: [73, 52, 13] from Operation: 26-13=13
Current State: 69:[73, 52, 13], Operations: ['26-13=13']
Exploring Operation: 52/13=4, Resulting Numbers: [73, 4]
Generated Node #3: [73, 4] from Operation: 52/13=4
Current State: 69:[73, 4], Operations: ['26-13=13', '52/13=4']
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[73, 26, 13, 52], Operations: []
Exploring Operation: 13+52=65, Resulting Numbers: [73, 26, 65]
Generated Node #0,0: 69:[73, 26, 65] Operation: 13+52=65
Exploring Operation: 52/26=2, Resulting Numbers: [73, 13, 2]
Generated Node #0,1: 69:[73, 13, 2] Operation: 52/26=2
Exploring Operation: 52/13=4, Resulting Numbers: [73, 26, 4]
Generated Node #0,2: 69:[73, 26, 4] Operation: 52/13=4
Exploring Operation: 73-52=21, Resulting Numbers: [26, 13, 21]
Generated Node #0,3: 69:[26, 13, 21] Operation: 73-52=21
Moving to Node #0,2
Current State: 69:[73, 26, 4], Operations: ['52/13=4']
Exploring Operation: 26+4=30, Resulting Numbers: [73, 30]
Generated Node #0,2,0: 69:[73, 30] Operation: 26+4=30
Exploring Operation: 73+4=77, Resulting Numbers: [26, 77]
Generated Node #0,2,1: 69:[26, 77] Operation: 73+4=77
Exploring Operation: 73-4=69, Resulting Numbers: [26, 69]
Generated Node #0,2,2: 69:[26, 69] Operation: 73-4=69
Exploring Operation: 26-4=22, Resulting Numbers: [73, 22]
Generated Node #0,2,3: 69:[73, 22] Operation: 26-4=22
Moving to Node #0,0
Current State: 69:[73, 26, 65], Operations: ['13+52=65']
Exploring Operation: 65-26=39, Resulting Numbers: [73, 39]
Generated Node #0,0,0: 69:[73, 39] Operation: 65-26=39
Exploring Operation: 26+65=91, Resulting Numbers: [73, 91]
Generated Node #0,0,1: 69:[73, 91] Operation: 26+65=91
Exploring Operation: 73-26=47, Resulting Numbers: [65, 47]
Generated Node #0,0,2: 69:[65, 47] Operation: 73-26=47
Exploring Operation: 73-65=8, Resulting Numbers: [26, 8]
Generated Node #0,0,3: 69:[26, 8] Operation: 73-65=8
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 69:[26, 8], Operations: ['13+52=65', '73-65=8']
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,69 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Exploring Operation: 26*8=208, Resulting Numbers: [208]
208,69 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 #0,0,0
Current State: 69:[73, 39], Operations: ['13+52=65', '65-26=39']
Exploring Operation: 73-39=34, Resulting Numbers: [34]
34,69 unequal: No Solution
Exploring Operation: 73+39=112, Resulting Numbers: [112]
112,69 unequal: No Solution
Exploring Operation: 73*39=2847, Resulting Numbers: [2847]
2847,69 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:[73, 91], Operations: ['13+52=65', '26+65=91']
Exploring Operation: 73+91=164, Resulting Numbers: [164]
164,69 unequal: No Solution
Exploring Operation: 91-73=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Exploring Operation: 73*91=6643, Resulting Numbers: [6643]
6643,69 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 #0,0,2
Current State: 69:[65, 47], Operations: ['13+52=65', '73-26=47']
Exploring Operation: 65+47=112, Resulting Numbers: [112]
112,69 unequal: No Solution
Exploring Operation: 65-47=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Exploring Operation: 65*47=3055, Resulting Numbers: [3055]
3055,69 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: 69:[26, 13, 21], Operations: ['73-52=21']
Exploring Operation: 26-21=5, Resulting Numbers: [13, 5]
Generated Node #0,3,0: 69:[13, 5] Operation: 26-21=5
Exploring Operation: 26-13=13, Resulting Numbers: [21, 13]
Generated Node #0,3,1: 69:[21, 13] Operation: 26-13=13
Exploring Operation: 26/13=2, Resulting Numbers: [21, 2]
Generated Node #0,3,2: 69:[21, 2] Operation: 26/13=2
Exploring Operation: 21-13=8, Resulting Numbers: [26, 8]
Generated Node #0,3,3: 69:[26, 8] Operation: 21-13=8
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 69:[21, 2], Operations: ['73-52=21', '26/13=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,69 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,69 unequal: No Solution
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,69 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 #0,3,3
Current State: 69:[26, 8], Operations: ['73-52=21', '21-13=8']
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,69 unequal: No Solution
Exploring Operation: 26*8=208, Resulting Numbers: [208]
208,69 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,69 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 #0,3,0
Current State: 69:[13, 5], Operations: ['73-52=21', '26-21=5']
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,69 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,69 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 #0,3,1
Current State: 69:[21, 13], Operations: ['73-52=21', '26-13=13']
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,69 unequal: No Solution
Exploring Operation: 21+13=34, Resulting Numbers: [34]
34,69 unequal: No Solution
Exploring Operation: 21*13=273, Resulting Numbers: [273]
273,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 69:[73, 13, 2], Operations: ['52/26=2']
Exploring Operation: 73-2=71, Resulting Numbers: [13, 71]
Generated Node #0,1,0: 69:[13, 71] Operation: 73-2=71
Exploring Operation: 73-13=60, Resulting Numbers: [2, 60]
Generated Node #0,1,1: 69:[2, 60] Operation: 73-13=60
Exploring Operation: 13*2=26, Resulting Numbers: [73, 26]
Generated Node #0,1,2: 69:[73, 26] Operation: 13*2=26
Exploring Operation: 13+2=15, Resulting Numbers: [73, 15]
Generated Node #0,1,3: 69:[73, 15] Operation: 13+2=15
Moving to Node #0,2,2
Current State: 69:[26, 69], Operations: ['52/13=4', '73-4=69']
Exploring Operation: 26*69=1794, Resulting Numbers: [1794]
1794,69 unequal: No Solution
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,69 unequal: No Solution
Exploring Operation: 26+69=95, Resulting Numbers: [95]
95,69 unequal: No Solution
Moving to Node #0,2,3
Current State: 69:[73, 22], Operations: ['52/13=4', '26-4=22']
Exploring Operation: 73*22=1606, Resulting Numbers: [1606]
1606,69 unequal: No Solution
Exploring Operation: 73-22=51, Resulting Numbers: [51]
51,69 unequal: No Solution
Exploring Operation: 73+22=95, Resulting Numbers: [95]
95,69 unequal: No Solution
Moving to Node #0,1,2
Current State: 69:[73, 26], Operations: ['52/26=2', '13*2=26']
Exploring Operation: 73-26=47, Resulting Numbers: [47]
47,69 unequal: No Solution
Exploring Operation: 73+26=99, Resulting Numbers: [99]
99,69 unequal: No Solution
Exploring Operation: 73*26=1898, Resulting Numbers: [1898]
1898,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[2, 60], Operations: ['52/26=2', '73-13=60']
Exploring Operation: 2+60=62, Resulting Numbers: [62]
62,69 unequal: No Solution
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,69 unequal: No Solution
Exploring Operation: 2*60=120, Resulting Numbers: [120]
120,69 unequal: No Solution
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Moving to Node #0,2,0
Current State: 69:[73, 30], Operations: ['52/13=4', '26+4=30']
Exploring Operation: 73*30=2190, Resulting Numbers: [2190]
2190,69 unequal: No Solution
Exploring Operation: 73+30=103, Resulting Numbers: [103]
103,69 unequal: No Solution
Exploring Operation: 73-30=43, Resulting Numbers: [43]
43,69 unequal: No Solution
Moving to Node #0,2,1
Current State: 69:[26, 77], Operations: ['52/13=4', '73+4=77']
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,69 unequal: No Solution
Exploring Operation: 26+77=103, Resulting Numbers: [103]
103,69 unequal: No Solution
Exploring Operation: 26*77=2002, Resulting Numbers: [2002]
2002,69 unequal: No Solution
Moving to Node #0,1,0
Current State: 69:[13, 71], Operations: ['52/26=2', '73-2=71']
Exploring Operation: 13*71=923, Resulting Numbers: [923]
923,69 unequal: No Solution
Exploring Operation: 13+71=84, Resulting Numbers: [84]
84,69 unequal: No Solution
Exploring Operation: 71-13=58, Resulting Numbers: [58]
58,69 unequal: No Solution
Moving to Node #0,1,3
Current State: 69:[73, 15], Operations: ['52/26=2', '13+2=15']
Exploring Operation: 73*15=1095, Resulting Numbers: [1095]
1095,69 unequal: No Solution
Exploring Operation: 73+15=88, Resulting Numbers: [88]
88,69 unequal: No Solution
Exploring Operation: 73-15=58, Resulting Numbers: [58]
58,69 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
28,
50,
9,
53
] | 40 | [
"50-28=22",
"9+53=62",
"62-22=40"
] | Current State: 40:[28, 50, 9, 53], Operations: []
Exploring Operation: 50-28=22, Resulting Numbers: [9, 53, 22]
Generated Node #2: [9, 53, 22] from Operation: 50-28=22
Current State: 40:[9, 53, 22], Operations: ['50-28=22']
Exploring Operation: 9+53=62, Resulting Numbers: [22, 62]
Generated Node #3: [22, 62] from Operation: 9+53=62
Current State: 40:[22, 62], Operations: ['50-28=22', '9+53=62']
Exploring Operation: 62-22=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[28, 50, 9, 53], Operations: []
Exploring Operation: 53-9=44, Resulting Numbers: [28, 50, 44]
Generated Node #0,0: 40:[28, 50, 44] Operation: 53-9=44
Exploring Operation: 53-28=25, Resulting Numbers: [50, 9, 25]
Generated Node #0,1: 40:[50, 9, 25] Operation: 53-28=25
Exploring Operation: 53-50=3, Resulting Numbers: [28, 9, 3]
Generated Node #0,2: 40:[28, 9, 3] Operation: 53-50=3
Exploring Operation: 50-9=41, Resulting Numbers: [28, 53, 41]
Generated Node #0,3: 40:[28, 53, 41] Operation: 50-9=41
Exploring Operation: 50-28=22, Resulting Numbers: [9, 53, 22]
Generated Node #0,4: 40:[9, 53, 22] Operation: 50-28=22
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[28, 9, 3], Operations: ['53-50=3']
Exploring Operation: 9-3=6, Resulting Numbers: [28, 6]
Generated Node #0,2,0: 40:[28, 6] Operation: 9-3=6
Exploring Operation: 28-3=25, Resulting Numbers: [9, 25]
Generated Node #0,2,1: 40:[9, 25] Operation: 28-3=25
Exploring Operation: 28-9=19, Resulting Numbers: [3, 19]
Generated Node #0,2,2: 40:[3, 19] Operation: 28-9=19
Exploring Operation: 9/3=3, Resulting Numbers: [28, 3]
Generated Node #0,2,3: 40:[28, 3] Operation: 9/3=3
Exploring Operation: 28+9=37, Resulting Numbers: [3, 37]
Generated Node #0,2,4: 40:[3, 37] Operation: 28+9=37
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 40:[3, 19], Operations: ['53-50=3', '28-9=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,40 unequal: No Solution
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,40 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,40 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 #0,2,4
Current State: 40:[3, 37], Operations: ['53-50=3', '28+9=37']
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[28, 50, 9, 53], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [28, 9, 3]
Generated Node #0,2: 40:[28, 9, 3] Operation: 53-50=3
Moving to Node #0,2
Current State: 40:[28, 9, 3], Operations: ['53-50=3']
Exploring Operation: 28+9=37, Resulting Numbers: [3, 37]
Generated Node #0,2,4: 40:[3, 37] Operation: 28+9=37
Moving to Node #0,2,4
Current State: 40:[3, 37], Operations: ['53-50=3', '28+9=37']
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
62,
3,
2,
90
] | 34 | [
"62+2=64",
"90/3=30",
"64-30=34"
] | Current State: 34:[62, 3, 2, 90], Operations: []
Exploring Operation: 62+2=64, Resulting Numbers: [3, 90, 64]
Generated Node #2: [3, 90, 64] from Operation: 62+2=64
Current State: 34:[3, 90, 64], Operations: ['62+2=64']
Exploring Operation: 90/3=30, Resulting Numbers: [64, 30]
Generated Node #3: [64, 30] from Operation: 90/3=30
Current State: 34:[64, 30], Operations: ['62+2=64', '90/3=30']
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[62, 3, 2, 90], Operations: []
Exploring Operation: 62/2=31, Resulting Numbers: [3, 90, 31]
Generated Node #0,0: 34:[3, 90, 31] Operation: 62/2=31
Exploring Operation: 90/2=45, Resulting Numbers: [62, 3, 45]
Generated Node #0,1: 34:[62, 3, 45] Operation: 90/2=45
Exploring Operation: 90-62=28, Resulting Numbers: [3, 2, 28]
Generated Node #0,2: 34:[3, 2, 28] Operation: 90-62=28
Exploring Operation: 90/3=30, Resulting Numbers: [62, 2, 30]
Generated Node #0,3: 34:[62, 2, 30] Operation: 90/3=30
Moving to Node #0,2
Current State: 34:[3, 2, 28], Operations: ['90-62=28']
Exploring Operation: 28/2=14, Resulting Numbers: [3, 14]
Generated Node #0,2,0: 34:[3, 14] Operation: 28/2=14
Exploring Operation: 3+28=31, Resulting Numbers: [2, 31]
Generated Node #0,2,1: 34:[2, 31] Operation: 3+28=31
Exploring Operation: 3-2=1, Resulting Numbers: [28, 1]
Generated Node #0,2,2: 34:[28, 1] Operation: 3-2=1
Exploring Operation: 2+28=30, Resulting Numbers: [3, 30]
Generated Node #0,2,3: 34:[3, 30] Operation: 2+28=30
Moving to Node #0,3
Current State: 34:[62, 2, 30], Operations: ['90/3=30']
Exploring Operation: 62-30=32, Resulting Numbers: [2, 32]
Generated Node #0,3,0: 34:[2, 32] Operation: 62-30=32
Exploring Operation: 2+30=32, Resulting Numbers: [62, 32]
Generated Node #0,3,1: 34:[62, 32] Operation: 2+30=32
Exploring Operation: 62-2=60, Resulting Numbers: [30, 60]
Generated Node #0,3,2: 34:[30, 60] Operation: 62-2=60
Exploring Operation: 62/2=31, Resulting Numbers: [30, 31]
Generated Node #0,3,3: 34:[30, 31] Operation: 62/2=31
Moving to Node #0,1
Current State: 34:[62, 3, 45], Operations: ['90/2=45']
Exploring Operation: 62-3=59, Resulting Numbers: [45, 59]
Generated Node #0,1,0: 34:[45, 59] Operation: 62-3=59
Exploring Operation: 45-3=42, Resulting Numbers: [62, 42]
Generated Node #0,1,1: 34:[62, 42] Operation: 45-3=42
Exploring Operation: 62-45=17, Resulting Numbers: [3, 17]
Generated Node #0,1,2: 34:[3, 17] Operation: 62-45=17
Exploring Operation: 45/3=15, Resulting Numbers: [62, 15]
Generated Node #0,1,3: 34:[62, 15] Operation: 45/3=15
Moving to Node #0,0
Current State: 34:[3, 90, 31], Operations: ['62/2=31']
Exploring Operation: 90-31=59, Resulting Numbers: [3, 59]
Generated Node #0,0,0: 34:[3, 59] Operation: 90-31=59
Exploring Operation: 90-3=87, Resulting Numbers: [31, 87]
Generated Node #0,0,1: 34:[31, 87] Operation: 90-3=87
Exploring Operation: 90/3=30, Resulting Numbers: [31, 30]
Generated Node #0,0,2: 34:[31, 30] Operation: 90/3=30
Exploring Operation: 3+31=34, Resulting Numbers: [90, 34]
Generated Node #0,0,3: 34:[90, 34] Operation: 3+31=34
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 34:[31, 30], Operations: ['62/2=31', '90/3=30']
Exploring Operation: 31+30=61, Resulting Numbers: [61]
61,34 unequal: No Solution
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Exploring Operation: 31*30=930, Resulting Numbers: [930]
930,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 34:[3, 59], Operations: ['62/2=31', '90-31=59']
Exploring Operation: 3*59=177, Resulting Numbers: [177]
177,34 unequal: No Solution
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,34 unequal: No Solution
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 34:[31, 87], Operations: ['62/2=31', '90-3=87']
Exploring Operation: 87-31=56, Resulting Numbers: [56]
56,34 unequal: No Solution
Exploring Operation: 31+87=118, Resulting Numbers: [118]
118,34 unequal: No Solution
Exploring Operation: 31*87=2697, Resulting Numbers: [2697]
2697,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 34:[90, 34], Operations: ['62/2=31', '3+31=34']
Exploring Operation: 90+34=124, Resulting Numbers: [124]
124,34 unequal: No Solution
Exploring Operation: 90*34=3060, Resulting Numbers: [3060]
3060,34 unequal: No Solution
Exploring Operation: 90-34=56, Resulting Numbers: [56]
56,34 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: 34:[3, 17], Operations: ['90/2=45', '62-45=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,34 unequal: No Solution
Moving to Node #0,3,0
Current State: 34:[2, 32], Operations: ['90/3=30', '62-30=32']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,34 unequal: No Solution
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[62, 3, 2, 90], Operations: []
Exploring Operation: 90/3=30, Resulting Numbers: [62, 2, 30]
Generated Node #0,3: 34:[62, 2, 30] Operation: 90/3=30
Moving to Node #0,3
Current State: 34:[62, 2, 30], Operations: ['90/3=30']
Exploring Operation: 62-30=32, Resulting Numbers: [2, 32]
Generated Node #0,3,0: 34:[2, 32] Operation: 62-30=32
Moving to Node #0,3,0
Current State: 34:[2, 32], Operations: ['90/3=30', '62-30=32']
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 0.963542 | hs_4 | mult_heuristic |
[
63,
4,
30,
3
] | 19 | [
"4*30=120",
"120-63=57",
"57/3=19"
] | Current State: 19:[63, 4, 30, 3], Operations: []
Exploring Operation: 4*30=120, Resulting Numbers: [63, 3, 120]
Generated Node #2: [63, 3, 120] from Operation: 4*30=120
Current State: 19:[63, 3, 120], Operations: ['4*30=120']
Exploring Operation: 120-63=57, Resulting Numbers: [3, 57]
Generated Node #3: [3, 57] from Operation: 120-63=57
Current State: 19:[3, 57], Operations: ['4*30=120', '120-63=57']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[63, 4, 30, 3], Operations: []
Exploring Operation: 63/3=21, Resulting Numbers: [4, 30, 21]
Generated Node #0,0: 19:[4, 30, 21] Operation: 63/3=21
Exploring Operation: 63-30=33, Resulting Numbers: [4, 3, 33]
Generated Node #0,1: 19:[4, 3, 33] Operation: 63-30=33
Moving to Node #0,0
Current State: 19:[4, 30, 21], Operations: ['63/3=21']
Exploring Operation: 30-4=26, Resulting Numbers: [21, 26]
Generated Node #0,0,0: 19:[21, 26] Operation: 30-4=26
Exploring Operation: 21-4=17, Resulting Numbers: [30, 17]
Generated Node #0,0,1: 19:[30, 17] Operation: 21-4=17
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[21, 26], Operations: ['63/3=21', '30-4=26']
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,19 unequal: No Solution
Exploring Operation: 21+26=47, Resulting Numbers: [47]
47,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 19:[30, 17], Operations: ['63/3=21', '21-4=17']
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,19 unequal: No Solution
Exploring Operation: 30+17=47, Resulting Numbers: [47]
47,19 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: 19:[4, 3, 33], Operations: ['63-30=33']
Exploring Operation: 33/3=11, Resulting Numbers: [4, 11]
Generated Node #0,1,0: 19:[4, 11] Operation: 33/3=11
Exploring Operation: 4*3=12, Resulting Numbers: [33, 12]
Generated Node #0,1,1: 19:[33, 12] Operation: 4*3=12
Moving to Node #0,1,1
Current State: 19:[33, 12], Operations: ['63-30=33', '4*3=12']
Exploring Operation: 33+12=45, Resulting Numbers: [45]
45,19 unequal: No Solution
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,19 unequal: No Solution
Moving to Node #0,1,0
Current State: 19:[4, 11], Operations: ['63-30=33', '33/3=11']
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,19 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,19 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
13,
20,
88,
17
] | 83 | [
"17-13=4",
"20/4=5",
"88-5=83"
] | Current State: 83:[13, 20, 88, 17], Operations: []
Exploring Operation: 17-13=4, Resulting Numbers: [20, 88, 4]
Generated Node #2: [20, 88, 4] from Operation: 17-13=4
Current State: 83:[20, 88, 4], Operations: ['17-13=4']
Exploring Operation: 20/4=5, Resulting Numbers: [88, 5]
Generated Node #3: [88, 5] from Operation: 20/4=5
Current State: 83:[88, 5], Operations: ['17-13=4', '20/4=5']
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[13, 20, 88, 17], Operations: []
Exploring Operation: 13+20=33, Resulting Numbers: [88, 17, 33]
Generated Node #0,0: 83:[88, 17, 33] Operation: 13+20=33
Moving to Node #0,0
Current State: 83:[88, 17, 33], Operations: ['13+20=33']
Exploring Operation: 17+33=50, Resulting Numbers: [88, 50]
Generated Node #0,0,0: 83:[88, 50] Operation: 17+33=50
Moving to Node #0,0,0
Current State: 83:[88, 50], Operations: ['13+20=33', '17+33=50']
Exploring Operation: 88-50=38, Resulting Numbers: [38]
38,83 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
39,
58,
22,
91
] | 84 | [
"58-22=36",
"91*36=3276",
"3276/39=84"
] | Current State: 84:[39, 58, 22, 91], Operations: []
Exploring Operation: 58-22=36, Resulting Numbers: [39, 91, 36]
Generated Node #2: [39, 91, 36] from Operation: 58-22=36
Current State: 84:[39, 91, 36], Operations: ['58-22=36']
Exploring Operation: 91*36=3276, Resulting Numbers: [39, 3276]
Generated Node #3: [39, 3276] from Operation: 91*36=3276
Current State: 84:[39, 3276], Operations: ['58-22=36', '91*36=3276']
Exploring Operation: 3276/39=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[39, 58, 22, 91], Operations: []
Exploring Operation: 58-39=19, Resulting Numbers: [22, 91, 19]
Generated Node #0,0: 84:[22, 91, 19] Operation: 58-39=19
Exploring Operation: 91-58=33, Resulting Numbers: [39, 22, 33]
Generated Node #0,1: 84:[39, 22, 33] Operation: 91-58=33
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[39, 22, 33], Operations: ['91-58=33']
Exploring Operation: 39-33=6, Resulting Numbers: [22, 6]
Generated Node #0,1,0: 84:[22, 6] Operation: 39-33=6
Exploring Operation: 33-22=11, Resulting Numbers: [39, 11]
Generated Node #0,1,1: 84:[39, 11] Operation: 33-22=11
Moving to Node #0,1,0
Current State: 84:[22, 6], Operations: ['91-58=33', '39-33=6']
Exploring Operation: 22+6=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[39, 11], Operations: ['91-58=33', '33-22=11']
Exploring Operation: 39+11=50, Resulting Numbers: [50]
50,84 unequal: No Solution
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[22, 91, 19], Operations: ['58-39=19']
Exploring Operation: 22-19=3, Resulting Numbers: [91, 3]
Generated Node #0,0,0: 84:[91, 3] Operation: 22-19=3
Exploring Operation: 22+19=41, Resulting Numbers: [91, 41]
Generated Node #0,0,1: 84:[91, 41] Operation: 22+19=41
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[91, 3], Operations: ['58-39=19', '22-19=3']
Exploring Operation: 91+3=94, Resulting Numbers: [94]
94,84 unequal: No Solution
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,84 unequal: No Solution
No 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: 84:[91, 41], Operations: ['58-39=19', '22+19=41']
Exploring Operation: 91-41=50, Resulting Numbers: [50]
50,84 unequal: No Solution
Exploring Operation: 91+41=132, Resulting Numbers: [132]
132,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
48,
52,
64,
91
] | 64 | [
"48+64=112",
"52*112=5824",
"5824/91=64"
] | Current State: 64:[48, 52, 64, 91], Operations: []
Exploring Operation: 48+64=112, Resulting Numbers: [52, 91, 112]
Generated Node #2: [52, 91, 112] from Operation: 48+64=112
Current State: 64:[52, 91, 112], Operations: ['48+64=112']
Exploring Operation: 52*112=5824, Resulting Numbers: [91, 5824]
Generated Node #3: [91, 5824] from Operation: 52*112=5824
Current State: 64:[91, 5824], Operations: ['48+64=112', '52*112=5824']
Exploring Operation: 5824/91=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[48, 52, 64, 91], Operations: []
Exploring Operation: 91-52=39, Resulting Numbers: [48, 64, 39]
Generated Node #0,0: 64:[48, 64, 39] Operation: 91-52=39
Exploring Operation: 91-48=43, Resulting Numbers: [52, 64, 43]
Generated Node #0,1: 64:[52, 64, 43] Operation: 91-48=43
Exploring Operation: 52-48=4, Resulting Numbers: [64, 91, 4]
Generated Node #0,2: 64:[64, 91, 4] Operation: 52-48=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[48, 64, 39], Operations: ['91-52=39']
Exploring Operation: 64-48=16, Resulting Numbers: [39, 16]
Generated Node #0,0,0: 64:[39, 16] Operation: 64-48=16
Exploring Operation: 48-39=9, Resulting Numbers: [64, 9]
Generated Node #0,0,1: 64:[64, 9] Operation: 48-39=9
Exploring Operation: 48+39=87, Resulting Numbers: [64, 87]
Generated Node #0,0,2: 64:[64, 87] Operation: 48+39=87
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 64:[64, 9], Operations: ['91-52=39', '48-39=9']
Exploring Operation: 64*9=576, Resulting Numbers: [576]
576,64 unequal: No Solution
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,64 unequal: No Solution
Exploring Operation: 64+9=73, Resulting Numbers: [73]
73,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 64:[39, 16], Operations: ['91-52=39', '64-48=16']
Exploring Operation: 39*16=624, Resulting Numbers: [624]
624,64 unequal: No Solution
Exploring Operation: 39+16=55, Resulting Numbers: [55]
55,64 unequal: No Solution
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 64:[64, 87], Operations: ['91-52=39', '48+39=87']
Exploring Operation: 64*87=5568, Resulting Numbers: [5568]
5568,64 unequal: No Solution
Exploring Operation: 64+87=151, Resulting Numbers: [151]
151,64 unequal: No Solution
Exploring Operation: 87-64=23, Resulting Numbers: [23]
23,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[52, 64, 43], Operations: ['91-48=43']
Exploring Operation: 64-52=12, Resulting Numbers: [43, 12]
Generated Node #0,1,0: 64:[43, 12] Operation: 64-52=12
Exploring Operation: 52-43=9, Resulting Numbers: [64, 9]
Generated Node #0,1,1: 64:[64, 9] Operation: 52-43=9
Exploring Operation: 64-43=21, Resulting Numbers: [52, 21]
Generated Node #0,1,2: 64:[52, 21] Operation: 64-43=21
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 64:[64, 9], Operations: ['91-48=43', '52-43=9']
Exploring Operation: 64+9=73, Resulting Numbers: [73]
73,64 unequal: No Solution
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,64 unequal: No Solution
Exploring Operation: 64*9=576, Resulting Numbers: [576]
576,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 64:[43, 12], Operations: ['91-48=43', '64-52=12']
Exploring Operation: 43*12=516, Resulting Numbers: [516]
516,64 unequal: No Solution
Exploring Operation: 43+12=55, Resulting Numbers: [55]
55,64 unequal: No Solution
Exploring Operation: 43-12=31, Resulting Numbers: [31]
31,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 64:[52, 21], Operations: ['91-48=43', '64-43=21']
Exploring Operation: 52+21=73, Resulting Numbers: [73]
73,64 unequal: No Solution
Exploring Operation: 52*21=1092, Resulting Numbers: [1092]
1092,64 unequal: No Solution
Exploring Operation: 52-21=31, Resulting Numbers: [31]
31,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 64:[64, 91, 4], Operations: ['52-48=4']
Exploring Operation: 91-64=27, Resulting Numbers: [4, 27]
Generated Node #0,2,0: 64:[4, 27] Operation: 91-64=27
Exploring Operation: 91-4=87, Resulting Numbers: [64, 87]
Generated Node #0,2,1: 64:[64, 87] Operation: 91-4=87
Exploring Operation: 64/4=16, Resulting Numbers: [91, 16]
Generated Node #0,2,2: 64:[91, 16] Operation: 64/4=16
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 64:[4, 27], Operations: ['52-48=4', '91-64=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,64 unequal: No Solution
Exploring Operation: 4*27=108, Resulting Numbers: [108]
108,64 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 64:[64, 87], Operations: ['52-48=4', '91-4=87']
Exploring Operation: 64+87=151, Resulting Numbers: [151]
151,64 unequal: No Solution
Exploring Operation: 64*87=5568, Resulting Numbers: [5568]
5568,64 unequal: No Solution
Exploring Operation: 87-64=23, Resulting Numbers: [23]
23,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 64:[91, 16], Operations: ['52-48=4', '64/4=16']
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,64 unequal: No Solution
Exploring Operation: 91+16=107, Resulting Numbers: [107]
107,64 unequal: No Solution
Exploring Operation: 91*16=1456, Resulting Numbers: [1456]
1456,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
2,
47,
50,
6
] | 30 | [
"47-2=45",
"50-45=5",
"6*5=30"
] | Current State: 30:[2, 47, 50, 6], Operations: []
Exploring Operation: 47-2=45, Resulting Numbers: [50, 6, 45]
Generated Node #2: [50, 6, 45] from Operation: 47-2=45
Current State: 30:[50, 6, 45], Operations: ['47-2=45']
Exploring Operation: 50-45=5, Resulting Numbers: [6, 5]
Generated Node #3: [6, 5] from Operation: 50-45=5
Current State: 30:[6, 5], Operations: ['47-2=45', '50-45=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[2, 47, 50, 6], Operations: []
Exploring Operation: 47-6=41, Resulting Numbers: [2, 50, 41]
Generated Node #0,0: 30:[2, 50, 41] Operation: 47-6=41
Exploring Operation: 50-6=44, Resulting Numbers: [2, 47, 44]
Generated Node #0,1: 30:[2, 47, 44] Operation: 50-6=44
Exploring Operation: 50/2=25, Resulting Numbers: [47, 6, 25]
Generated Node #0,2: 30:[47, 6, 25] Operation: 50/2=25
Exploring Operation: 50-47=3, Resulting Numbers: [2, 6, 3]
Generated Node #0,3: 30:[2, 6, 3] Operation: 50-47=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 30:[2, 6, 3], Operations: ['50-47=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6, 6]
Generated Node #0,3,0: 30:[6, 6] Operation: 2*3=6
Exploring Operation: 6-3=3, Resulting Numbers: [2, 3]
Generated Node #0,3,1: 30:[2, 3] Operation: 6-3=3
Exploring Operation: 2+3=5, Resulting Numbers: [6, 5]
Generated Node #0,3,2: 30:[6, 5] Operation: 2+3=5
Exploring Operation: 6/2=3, Resulting Numbers: [3, 3]
Generated Node #0,3,3: 30:[3, 3] Operation: 6/2=3
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 30:[6, 6], Operations: ['50-47=3', '2*3=6']
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,30 unequal: No Solution
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,30 unequal: No Solution
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,30 unequal: No Solution
No 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: 30:[2, 3], Operations: ['50-47=3', '6-3=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,30 unequal: No Solution
No 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: 30:[6, 5], Operations: ['50-47=3', '2+3=5']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,30 unequal: No Solution
Exploring Operation: 6+5=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[2, 47, 50, 6], Operations: []
Exploring Operation: 50-47=3, Resulting Numbers: [2, 6, 3]
Generated Node #0,3: 30:[2, 6, 3] Operation: 50-47=3
Moving to Node #0,3
Current State: 30:[2, 6, 3], Operations: ['50-47=3']
Exploring Operation: 2+3=5, Resulting Numbers: [6, 5]
Generated Node #0,3,2: 30:[6, 5] Operation: 2+3=5
Moving to Node #0,3,2
Current State: 30:[6, 5], Operations: ['50-47=3', '2+3=5']
Exploring Operation: 6*5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980903 | hs_4 | sum_heuristic |
[
93,
22,
6,
98
] | 23 | [
"93+22=115",
"98-6=92",
"115-92=23"
] | Current State: 23:[93, 22, 6, 98], Operations: []
Exploring Operation: 93+22=115, Resulting Numbers: [6, 98, 115]
Generated Node #2: [6, 98, 115] from Operation: 93+22=115
Current State: 23:[6, 98, 115], Operations: ['93+22=115']
Exploring Operation: 98-6=92, Resulting Numbers: [115, 92]
Generated Node #3: [115, 92] from Operation: 98-6=92
Current State: 23:[115, 92], Operations: ['93+22=115', '98-6=92']
Exploring Operation: 115-92=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[93, 22, 6, 98], Operations: []
Exploring Operation: 93-6=87, Resulting Numbers: [22, 98, 87]
Generated Node #0,0: 23:[22, 98, 87] Operation: 93-6=87
Exploring Operation: 98-93=5, Resulting Numbers: [22, 6, 5]
Generated Node #0,1: 23:[22, 6, 5] Operation: 98-93=5
Exploring Operation: 93-22=71, Resulting Numbers: [6, 98, 71]
Generated Node #0,2: 23:[6, 98, 71] Operation: 93-22=71
Moving to Node #0,1
Current State: 23:[22, 6, 5], Operations: ['98-93=5']
Exploring Operation: 6+5=11, Resulting Numbers: [22, 11]
Generated Node #0,1,0: 23:[22, 11] Operation: 6+5=11
Exploring Operation: 22+5=27, Resulting Numbers: [6, 27]
Generated Node #0,1,1: 23:[6, 27] Operation: 22+5=27
Exploring Operation: 6*5=30, Resulting Numbers: [22, 30]
Generated Node #0,1,2: 23:[22, 30] Operation: 6*5=30
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 23:[22, 30], Operations: ['98-93=5', '6*5=30']
Exploring Operation: 22*30=660, Resulting Numbers: [660]
660,23 unequal: No Solution
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 22+30=52, Resulting Numbers: [52]
52,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 23:[22, 11], Operations: ['98-93=5', '6+5=11']
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,23 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,23 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 23:[6, 27], Operations: ['98-93=5', '22+5=27']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,23 unequal: No Solution
Exploring Operation: 6+27=33, Resulting Numbers: [33]
33,23 unequal: No Solution
Exploring Operation: 6*27=162, Resulting Numbers: [162]
162,23 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: 23:[22, 98, 87], Operations: ['93-6=87']
Exploring Operation: 98-87=11, Resulting Numbers: [22, 11]
Generated Node #0,0,0: 23:[22, 11] Operation: 98-87=11
Exploring Operation: 98-22=76, Resulting Numbers: [87, 76]
Generated Node #0,0,1: 23:[87, 76] Operation: 98-22=76
Exploring Operation: 87-22=65, Resulting Numbers: [98, 65]
Generated Node #0,0,2: 23:[98, 65] Operation: 87-22=65
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[22, 11], Operations: ['93-6=87', '98-87=11']
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,23 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 23:[87, 76], Operations: ['93-6=87', '98-22=76']
Exploring Operation: 87-76=11, Resulting Numbers: [11]
11,23 unequal: No Solution
Exploring Operation: 87*76=6612, Resulting Numbers: [6612]
6612,23 unequal: No Solution
Exploring Operation: 87+76=163, Resulting Numbers: [163]
163,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 23:[98, 65], Operations: ['93-6=87', '87-22=65']
Exploring Operation: 98*65=6370, Resulting Numbers: [6370]
6370,23 unequal: No Solution
Exploring Operation: 98-65=33, Resulting Numbers: [33]
33,23 unequal: No Solution
Exploring Operation: 98+65=163, Resulting Numbers: [163]
163,23 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: 23:[6, 98, 71], Operations: ['93-22=71']
Exploring Operation: 98-6=92, Resulting Numbers: [71, 92]
Generated Node #0,2,0: 23:[71, 92] Operation: 98-6=92
Exploring Operation: 98-71=27, Resulting Numbers: [6, 27]
Generated Node #0,2,1: 23:[6, 27] Operation: 98-71=27
Exploring Operation: 71-6=65, Resulting Numbers: [98, 65]
Generated Node #0,2,2: 23:[98, 65] Operation: 71-6=65
Moving to Node #0,2,1
Current State: 23:[6, 27], Operations: ['93-22=71', '98-71=27']
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,23 unequal: No Solution
Exploring Operation: 6+27=33, Resulting Numbers: [33]
33,23 unequal: No Solution
Exploring Operation: 6*27=162, Resulting Numbers: [162]
162,23 unequal: No Solution
Moving to Node #0,2,0
Current State: 23:[71, 92], Operations: ['93-22=71', '98-6=92']
Exploring Operation: 92-71=21, Resulting Numbers: [21]
21,23 unequal: No Solution
Exploring Operation: 71+92=163, Resulting Numbers: [163]
163,23 unequal: No Solution
Exploring Operation: 71*92=6532, Resulting Numbers: [6532]
6532,23 unequal: No Solution
Moving to Node #0,2,2
Current State: 23:[98, 65], Operations: ['93-22=71', '71-6=65']
Exploring Operation: 98*65=6370, Resulting Numbers: [6370]
6370,23 unequal: No Solution
Exploring Operation: 98-65=33, Resulting Numbers: [33]
33,23 unequal: No Solution
Exploring Operation: 98+65=163, Resulting Numbers: [163]
163,23 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
59,
80,
20,
70
] | 89 | [
"59+80=139",
"70-20=50",
"139-50=89"
] | Current State: 89:[59, 80, 20, 70], Operations: []
Exploring Operation: 59+80=139, Resulting Numbers: [20, 70, 139]
Generated Node #2: [20, 70, 139] from Operation: 59+80=139
Current State: 89:[20, 70, 139], Operations: ['59+80=139']
Exploring Operation: 70-20=50, Resulting Numbers: [139, 50]
Generated Node #3: [139, 50] from Operation: 70-20=50
Current State: 89:[139, 50], Operations: ['59+80=139', '70-20=50']
Exploring Operation: 139-50=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[59, 80, 20, 70], Operations: []
Exploring Operation: 59+20=79, Resulting Numbers: [80, 70, 79]
Generated Node #0,0: 89:[80, 70, 79] Operation: 59+20=79
Exploring Operation: 20+70=90, Resulting Numbers: [59, 80, 90]
Generated Node #0,1: 89:[59, 80, 90] Operation: 20+70=90
Moving to Node #0,0
Current State: 89:[80, 70, 79], Operations: ['59+20=79']
Exploring Operation: 80+70=150, Resulting Numbers: [79, 150]
Generated Node #0,0,0: 89:[79, 150] Operation: 80+70=150
Exploring Operation: 70+79=149, Resulting Numbers: [80, 149]
Generated Node #0,0,1: 89:[80, 149] Operation: 70+79=149
Moving to Node #0,1
Current State: 89:[59, 80, 90], Operations: ['20+70=90']
Exploring Operation: 90-59=31, Resulting Numbers: [80, 31]
Generated Node #0,1,0: 89:[80, 31] Operation: 90-59=31
Exploring Operation: 59+80=139, Resulting Numbers: [90, 139]
Generated Node #0,1,1: 89:[90, 139] Operation: 59+80=139
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 89:[90, 139], Operations: ['20+70=90', '59+80=139']
Exploring Operation: 139-90=49, Resulting Numbers: [49]
49,89 unequal: No Solution
Exploring Operation: 90+139=229, Resulting Numbers: [229]
229,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 89:[80, 31], Operations: ['20+70=90', '90-59=31']
Exploring Operation: 80+31=111, Resulting Numbers: [111]
111,89 unequal: No Solution
Exploring Operation: 80-31=49, Resulting Numbers: [49]
49,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 89:[80, 149], Operations: ['59+20=79', '70+79=149']
Exploring Operation: 80+149=229, Resulting Numbers: [229]
229,89 unequal: No Solution
Exploring Operation: 149-80=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[79, 150], Operations: ['59+20=79', '80+70=150']
Exploring Operation: 150-79=71, Resulting Numbers: [71]
71,89 unequal: No Solution
Exploring Operation: 79+150=229, Resulting Numbers: [229]
229,89 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
29,
54,
67,
5
] | 21 | [
"29+54=83",
"67-5=62",
"83-62=21"
] | Current State: 21:[29, 54, 67, 5], Operations: []
Exploring Operation: 29+54=83, Resulting Numbers: [67, 5, 83]
Generated Node #2: [67, 5, 83] from Operation: 29+54=83
Current State: 21:[67, 5, 83], Operations: ['29+54=83']
Exploring Operation: 67-5=62, Resulting Numbers: [83, 62]
Generated Node #3: [83, 62] from Operation: 67-5=62
Current State: 21:[83, 62], Operations: ['29+54=83', '67-5=62']
Exploring Operation: 83-62=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[29, 54, 67, 5], Operations: []
Exploring Operation: 67-54=13, Resulting Numbers: [29, 5, 13]
Generated Node #0,0: 21:[29, 5, 13] Operation: 67-54=13
Exploring Operation: 54-29=25, Resulting Numbers: [67, 5, 25]
Generated Node #0,1: 21:[67, 5, 25] Operation: 54-29=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[29, 5, 13], Operations: ['67-54=13']
Exploring Operation: 29-5=24, Resulting Numbers: [13, 24]
Generated Node #0,0,0: 21:[13, 24] Operation: 29-5=24
Exploring Operation: 29-13=16, Resulting Numbers: [5, 16]
Generated Node #0,0,1: 21:[5, 16] Operation: 29-13=16
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 21:[5, 16], Operations: ['67-54=13', '29-13=16']
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,21 unequal: No Solution
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[29, 54, 67, 5], Operations: []
Exploring Operation: 67-54=13, Resulting Numbers: [29, 5, 13]
Generated Node #0,0: 21:[29, 5, 13] Operation: 67-54=13
Moving to Node #0,0
Current State: 21:[29, 5, 13], Operations: ['67-54=13']
Exploring Operation: 29-13=16, Resulting Numbers: [5, 16]
Generated Node #0,0,1: 21:[5, 16] Operation: 29-13=16
Moving to Node #0,0,1
Current State: 21:[5, 16], Operations: ['67-54=13', '29-13=16']
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
94,
56,
56,
46
] | 48 | [
"94+56=150",
"56+46=102",
"150-102=48"
] | Current State: 48:[94, 56, 56, 46], Operations: []
Exploring Operation: 94+56=150, Resulting Numbers: [46, 150]
Generated Node #2: [46, 150] from Operation: 94+56=150
Current State: 48:[46, 150], Operations: ['94+56=150']
Exploring Operation: 56+46=102, Resulting Numbers: [150, 102]
Generated Node #3: [150, 102] from Operation: 56+46=102
Current State: 48:[150, 102], Operations: ['94+56=150', '56+46=102']
Exploring Operation: 150-102=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[94, 56, 56, 46], Operations: []
Exploring Operation: 94-56=38, Resulting Numbers: [56, 46, 38]
Generated Node #0,0: 48:[56, 46, 38] Operation: 94-56=38
Exploring Operation: 94-56=38, Resulting Numbers: [56, 46, 38]
Generated Node #0,1: 48:[56, 46, 38] Operation: 94-56=38
Exploring Operation: 94-46=48, Resulting Numbers: [56, 56, 48]
Generated Node #0,2: 48:[56, 56, 48] Operation: 94-46=48
Exploring Operation: 56/56=1, Resulting Numbers: [94, 46, 1]
Generated Node #0,3: 48:[94, 46, 1] Operation: 56/56=1
Exploring Operation: 56-56=0, Resulting Numbers: [94, 46, 0]
Generated Node #0,4: 48:[94, 46, 0] Operation: 56-56=0
Moving to Node #0,2
Current State: 48:[56, 56, 48], Operations: ['94-46=48']
Exploring Operation: 56-48=8, Resulting Numbers: [56, 8]
Generated Node #0,2,0: 48:[56, 8] Operation: 56-48=8
Exploring Operation: 56-48=8, Resulting Numbers: [56, 8]
Generated Node #0,2,1: 48:[56, 8] Operation: 56-48=8
Exploring Operation: 56/56=1, Resulting Numbers: [48, 1]
Generated Node #0,2,2: 48:[48, 1] Operation: 56/56=1
Exploring Operation: 56+56=112, Resulting Numbers: [48, 112]
Generated Node #0,2,3: 48:[48, 112] Operation: 56+56=112
Exploring Operation: 56-56=0, Resulting Numbers: [48, 0]
Generated Node #0,2,4: 48:[48, 0] Operation: 56-56=0
Moving to Node #0,1
Current State: 48:[56, 46, 38], Operations: ['94-56=38']
Exploring Operation: 46-38=8, Resulting Numbers: [56, 8]
Generated Node #0,1,0: 48:[56, 8] Operation: 46-38=8
Exploring Operation: 46+38=84, Resulting Numbers: [56, 84]
Generated Node #0,1,1: 48:[56, 84] Operation: 46+38=84
Exploring Operation: 56-46=10, Resulting Numbers: [38, 10]
Generated Node #0,1,2: 48:[38, 10] Operation: 56-46=10
Exploring Operation: 56-38=18, Resulting Numbers: [46, 18]
Generated Node #0,1,3: 48:[46, 18] Operation: 56-38=18
Exploring Operation: 56+38=94, Resulting Numbers: [46, 94]
Generated Node #0,1,4: 48:[46, 94] Operation: 56+38=94
Moving to Node #0,0
Current State: 48:[56, 46, 38], Operations: ['94-56=38']
Exploring Operation: 56-46=10, Resulting Numbers: [38, 10]
Generated Node #0,0,0: 48:[38, 10] Operation: 56-46=10
Exploring Operation: 56-38=18, Resulting Numbers: [46, 18]
Generated Node #0,0,1: 48:[46, 18] Operation: 56-38=18
Exploring Operation: 46-38=8, Resulting Numbers: [56, 8]
Generated Node #0,0,2: 48:[56, 8] Operation: 46-38=8
Exploring Operation: 46+38=84, Resulting Numbers: [56, 84]
Generated Node #0,0,3: 48:[56, 84] Operation: 46+38=84
Exploring Operation: 56+38=94, Resulting Numbers: [46, 94]
Generated Node #0,0,4: 48:[46, 94] Operation: 56+38=94
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 48:[46, 18], Operations: ['94-56=38', '56-38=18']
Exploring Operation: 46*18=828, Resulting Numbers: [828]
828,48 unequal: No Solution
Exploring Operation: 46+18=64, Resulting Numbers: [64]
64,48 unequal: No Solution
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 48:[56, 8], Operations: ['94-56=38', '46-38=8']
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[94, 56, 56, 46], Operations: []
Exploring Operation: 94-56=38, Resulting Numbers: [56, 46, 38]
Generated Node #0,0: 48:[56, 46, 38] Operation: 94-56=38
Moving to Node #0,0
Current State: 48:[56, 46, 38], Operations: ['94-56=38']
Exploring Operation: 46-38=8, Resulting Numbers: [56, 8]
Generated Node #0,0,2: 48:[56, 8] Operation: 46-38=8
Moving to Node #0,0,2
Current State: 48:[56, 8], Operations: ['94-56=38', '46-38=8']
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_5 | sum_heuristic |
[
55,
92,
73,
10
] | 100 | [
"92-55=37",
"73-10=63",
"37+63=100"
] | Current State: 100:[55, 92, 73, 10], Operations: []
Exploring Operation: 92-55=37, Resulting Numbers: [73, 10, 37]
Generated Node #2: [73, 10, 37] from Operation: 92-55=37
Current State: 100:[73, 10, 37], Operations: ['92-55=37']
Exploring Operation: 73-10=63, Resulting Numbers: [37, 63]
Generated Node #3: [37, 63] from Operation: 73-10=63
Current State: 100:[37, 63], Operations: ['92-55=37', '73-10=63']
Exploring Operation: 37+63=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[55, 92, 73, 10], Operations: []
Exploring Operation: 73-55=18, Resulting Numbers: [92, 10, 18]
Generated Node #0,0: 100:[92, 10, 18] Operation: 73-55=18
Exploring Operation: 73-10=63, Resulting Numbers: [55, 92, 63]
Generated Node #0,1: 100:[55, 92, 63] Operation: 73-10=63
Exploring Operation: 92-73=19, Resulting Numbers: [55, 10, 19]
Generated Node #0,2: 100:[55, 10, 19] Operation: 92-73=19
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[55, 10, 19], Operations: ['92-73=19']
Exploring Operation: 10+19=29, Resulting Numbers: [55, 29]
Generated Node #0,2,0: 100:[55, 29] Operation: 10+19=29
Exploring Operation: 55-10=45, Resulting Numbers: [19, 45]
Generated Node #0,2,1: 100:[19, 45] Operation: 55-10=45
Exploring Operation: 19-10=9, Resulting Numbers: [55, 9]
Generated Node #0,2,2: 100:[55, 9] Operation: 19-10=9
Moving to Node #0,2,1
Current State: 100:[19, 45], Operations: ['92-73=19', '55-10=45']
Exploring Operation: 19+45=64, Resulting Numbers: [64]
64,100 unequal: No Solution
Exploring Operation: 19*45=855, Resulting Numbers: [855]
855,100 unequal: No Solution
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Moving to Node #0,2,2
Current State: 100:[55, 9], Operations: ['92-73=19', '19-10=9']
Exploring Operation: 55-9=46, Resulting Numbers: [46]
46,100 unequal: No Solution
Exploring Operation: 55+9=64, Resulting Numbers: [64]
64,100 unequal: No Solution
Exploring Operation: 55*9=495, Resulting Numbers: [495]
495,100 unequal: No Solution
Moving to Node #0,2,0
Current State: 100:[55, 29], Operations: ['92-73=19', '10+19=29']
Exploring Operation: 55-29=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Exploring Operation: 55*29=1595, Resulting Numbers: [1595]
1595,100 unequal: No Solution
Exploring Operation: 55+29=84, Resulting Numbers: [84]
84,100 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
Current State: 100:[92, 10, 18], Operations: ['73-55=18']
Exploring Operation: 18-10=8, Resulting Numbers: [92, 8]
Generated Node #0,0,0: 100:[92, 8] Operation: 18-10=8
Exploring Operation: 92+10=102, Resulting Numbers: [18, 102]
Generated Node #0,0,1: 100:[18, 102] Operation: 92+10=102
Exploring Operation: 92+18=110, Resulting Numbers: [10, 110]
Generated Node #0,0,2: 100:[10, 110] Operation: 92+18=110
Moving to Node #0,0,1
Current State: 100:[18, 102], Operations: ['73-55=18', '92+10=102']
Exploring Operation: 18+102=120, Resulting Numbers: [120]
120,100 unequal: No Solution
Exploring Operation: 18*102=1836, Resulting Numbers: [1836]
1836,100 unequal: No Solution
Exploring Operation: 102-18=84, Resulting Numbers: [84]
84,100 unequal: No Solution
Moving to Node #0,0,0
Current State: 100:[92, 8], Operations: ['73-55=18', '18-10=8']
Exploring Operation: 92+8=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[55, 92, 73, 10], Operations: []
Exploring Operation: 73-55=18, Resulting Numbers: [92, 10, 18]
Generated Node #0,0: 100:[92, 10, 18] Operation: 73-55=18
Moving to Node #0,0
Current State: 100:[92, 10, 18], Operations: ['73-55=18']
Exploring Operation: 18-10=8, Resulting Numbers: [92, 8]
Generated Node #0,0,0: 100:[92, 8] Operation: 18-10=8
Moving to Node #0,0,0
Current State: 100:[92, 8], Operations: ['73-55=18', '18-10=8']
Exploring Operation: 92+8=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_3 | mult_heuristic |
[
22,
31,
25,
69
] | 97 | [
"22+31=53",
"69-25=44",
"53+44=97"
] | Current State: 97:[22, 31, 25, 69], Operations: []
Exploring Operation: 22+31=53, Resulting Numbers: [25, 69, 53]
Generated Node #2: [25, 69, 53] from Operation: 22+31=53
Current State: 97:[25, 69, 53], Operations: ['22+31=53']
Exploring Operation: 69-25=44, Resulting Numbers: [53, 44]
Generated Node #3: [53, 44] from Operation: 69-25=44
Current State: 97:[53, 44], Operations: ['22+31=53', '69-25=44']
Exploring Operation: 53+44=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[22, 31, 25, 69], Operations: []
Exploring Operation: 22+31=53, Resulting Numbers: [25, 69, 53]
Generated Node #0,0: 97:[25, 69, 53] Operation: 22+31=53
Exploring Operation: 22+25=47, Resulting Numbers: [31, 69, 47]
Generated Node #0,1: 97:[31, 69, 47] Operation: 22+25=47
Moving to Node #0,0
Current State: 97:[25, 69, 53], Operations: ['22+31=53']
Exploring Operation: 25+69=94, Resulting Numbers: [53, 94]
Generated Node #0,0,0: 97:[53, 94] Operation: 25+69=94
Exploring Operation: 25+53=78, Resulting Numbers: [69, 78]
Generated Node #0,0,1: 97:[69, 78] Operation: 25+53=78
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[53, 94], Operations: ['22+31=53', '25+69=94']
Exploring Operation: 94-53=41, Resulting Numbers: [41]
41,97 unequal: No Solution
Exploring Operation: 53+94=147, Resulting Numbers: [147]
147,97 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 #0,0,1
Current State: 97:[69, 78], Operations: ['22+31=53', '25+53=78']
Exploring Operation: 69+78=147, Resulting Numbers: [147]
147,97 unequal: No Solution
Exploring Operation: 78-69=9, Resulting Numbers: [9]
9,97 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: 97:[31, 69, 47], Operations: ['22+25=47']
Exploring Operation: 31+69=100, Resulting Numbers: [47, 100]
Generated Node #0,1,0: 97:[47, 100] Operation: 31+69=100
Exploring Operation: 31+47=78, Resulting Numbers: [69, 78]
Generated Node #0,1,1: 97:[69, 78] Operation: 31+47=78
Moving to Node #0,1,1
Current State: 97:[69, 78], Operations: ['22+25=47', '31+47=78']
Exploring Operation: 69+78=147, Resulting Numbers: [147]
147,97 unequal: No Solution
Exploring Operation: 78-69=9, Resulting Numbers: [9]
9,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[47, 100], Operations: ['22+25=47', '31+69=100']
Exploring Operation: 100-47=53, Resulting Numbers: [53]
53,97 unequal: No Solution
Exploring Operation: 47+100=147, Resulting Numbers: [147]
147,97 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
50,
19,
34,
38
] | 41 | [
"50-19=31",
"34+38=72",
"72-31=41"
] | Current State: 41:[50, 19, 34, 38], Operations: []
Exploring Operation: 50-19=31, Resulting Numbers: [34, 38, 31]
Generated Node #2: [34, 38, 31] from Operation: 50-19=31
Current State: 41:[34, 38, 31], Operations: ['50-19=31']
Exploring Operation: 34+38=72, Resulting Numbers: [31, 72]
Generated Node #3: [31, 72] from Operation: 34+38=72
Current State: 41:[31, 72], Operations: ['50-19=31', '34+38=72']
Exploring Operation: 72-31=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[50, 19, 34, 38], Operations: []
Exploring Operation: 19+34=53, Resulting Numbers: [50, 38, 53]
Generated Node #0,0: 41:[50, 38, 53] Operation: 19+34=53
Exploring Operation: 50+19=69, Resulting Numbers: [34, 38, 69]
Generated Node #0,1: 41:[34, 38, 69] Operation: 50+19=69
Exploring Operation: 19+38=57, Resulting Numbers: [50, 34, 57]
Generated Node #0,2: 41:[50, 34, 57] Operation: 19+38=57
Exploring Operation: 50-19=31, Resulting Numbers: [34, 38, 31]
Generated Node #0,3: 41:[34, 38, 31] Operation: 50-19=31
Moving to Node #0,3
Current State: 41:[34, 38, 31], Operations: ['50-19=31']
Exploring Operation: 38+31=69, Resulting Numbers: [34, 69]
Generated Node #0,3,0: 41:[34, 69] Operation: 38+31=69
Exploring Operation: 34+31=65, Resulting Numbers: [38, 65]
Generated Node #0,3,1: 41:[38, 65] Operation: 34+31=65
Exploring Operation: 34+38=72, Resulting Numbers: [31, 72]
Generated Node #0,3,2: 41:[31, 72] Operation: 34+38=72
Exploring Operation: 34-31=3, Resulting Numbers: [38, 3]
Generated Node #0,3,3: 41:[38, 3] Operation: 34-31=3
Moving to Node #0,0
Current State: 41:[50, 38, 53], Operations: ['19+34=53']
Exploring Operation: 53-50=3, Resulting Numbers: [38, 3]
Generated Node #0,0,0: 41:[38, 3] Operation: 53-50=3
Exploring Operation: 53-38=15, Resulting Numbers: [50, 15]
Generated Node #0,0,1: 41:[50, 15] Operation: 53-38=15
Exploring Operation: 50-38=12, Resulting Numbers: [53, 12]
Generated Node #0,0,2: 41:[53, 12] Operation: 50-38=12
Exploring Operation: 50+38=88, Resulting Numbers: [53, 88]
Generated Node #0,0,3: 41:[53, 88] Operation: 50+38=88
Moving to Node #0,2
Current State: 41:[50, 34, 57], Operations: ['19+38=57']
Exploring Operation: 57-50=7, Resulting Numbers: [34, 7]
Generated Node #0,2,0: 41:[34, 7] Operation: 57-50=7
Exploring Operation: 50-34=16, Resulting Numbers: [57, 16]
Generated Node #0,2,1: 41:[57, 16] Operation: 50-34=16
Exploring Operation: 50+34=84, Resulting Numbers: [57, 84]
Generated Node #0,2,2: 41:[57, 84] Operation: 50+34=84
Exploring Operation: 57-34=23, Resulting Numbers: [50, 23]
Generated Node #0,2,3: 41:[50, 23] Operation: 57-34=23
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 41:[50, 23], Operations: ['19+38=57', '57-34=23']
Exploring Operation: 50-23=27, Resulting Numbers: [27]
27,41 unequal: No Solution
Exploring Operation: 50+23=73, Resulting Numbers: [73]
73,41 unequal: No Solution
Exploring Operation: 50*23=1150, Resulting Numbers: [1150]
1150,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 41:[34, 7], Operations: ['19+38=57', '57-50=7']
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,41 unequal: No Solution
Exploring Operation: 34+7=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[50, 19, 34, 38], Operations: []
Exploring Operation: 19+38=57, Resulting Numbers: [50, 34, 57]
Generated Node #0,2: 41:[50, 34, 57] Operation: 19+38=57
Moving to Node #0,2
Current State: 41:[50, 34, 57], Operations: ['19+38=57']
Exploring Operation: 57-50=7, Resulting Numbers: [34, 7]
Generated Node #0,2,0: 41:[34, 7] Operation: 57-50=7
Moving to Node #0,2,0
Current State: 41:[34, 7], Operations: ['19+38=57', '57-50=7']
Exploring Operation: 34+7=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_4 | mult_heuristic |
[
16,
21,
8,
53
] | 12 | [
"53-21=32",
"32/8=4",
"16-4=12"
] | Current State: 12:[16, 21, 8, 53], Operations: []
Exploring Operation: 53-21=32, Resulting Numbers: [16, 8, 32]
Generated Node #2: [16, 8, 32] from Operation: 53-21=32
Current State: 12:[16, 8, 32], Operations: ['53-21=32']
Exploring Operation: 32/8=4, Resulting Numbers: [16, 4]
Generated Node #3: [16, 4] from Operation: 32/8=4
Current State: 12:[16, 4], Operations: ['53-21=32', '32/8=4']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[16, 21, 8, 53], Operations: []
Exploring Operation: 21-16=5, Resulting Numbers: [8, 53, 5]
Generated Node #0,0: 12:[8, 53, 5] Operation: 21-16=5
Exploring Operation: 53-21=32, Resulting Numbers: [16, 8, 32]
Generated Node #0,1: 12:[16, 8, 32] Operation: 53-21=32
Exploring Operation: 53-16=37, Resulting Numbers: [21, 8, 37]
Generated Node #0,2: 12:[21, 8, 37] Operation: 53-16=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[16, 8, 32], Operations: ['53-21=32']
Exploring Operation: 32/16=2, Resulting Numbers: [8, 2]
Generated Node #0,1,0: 12:[8, 2] Operation: 32/16=2
Exploring Operation: 32/8=4, Resulting Numbers: [16, 4]
Generated Node #0,1,1: 12:[16, 4] Operation: 32/8=4
Exploring Operation: 32-16=16, Resulting Numbers: [8, 16]
Generated Node #0,1,2: 12:[8, 16] Operation: 32-16=16
Moving to Node #0,1,0
Current State: 12:[8, 2], Operations: ['53-21=32', '32/16=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,12 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Moving to Node #0,1,1
Current State: 12:[16, 4], Operations: ['53-21=32', '32/8=4']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[16, 21, 8, 53], Operations: []
Exploring Operation: 53-21=32, Resulting Numbers: [16, 8, 32]
Generated Node #0,1: 12:[16, 8, 32] Operation: 53-21=32
Moving to Node #0,1
Current State: 12:[16, 8, 32], Operations: ['53-21=32']
Exploring Operation: 32/8=4, Resulting Numbers: [16, 4]
Generated Node #0,1,1: 12:[16, 4] Operation: 32/8=4
Moving to Node #0,1,1
Current State: 12:[16, 4], Operations: ['53-21=32', '32/8=4']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
18,
30,
61,
3
] | 47 | [
"61-18=43",
"30*3=90",
"90-43=47"
] | Current State: 47:[18, 30, 61, 3], Operations: []
Exploring Operation: 61-18=43, Resulting Numbers: [30, 3, 43]
Generated Node #2: [30, 3, 43] from Operation: 61-18=43
Current State: 47:[30, 3, 43], Operations: ['61-18=43']
Exploring Operation: 30*3=90, Resulting Numbers: [43, 90]
Generated Node #3: [43, 90] from Operation: 30*3=90
Current State: 47:[43, 90], Operations: ['61-18=43', '30*3=90']
Exploring Operation: 90-43=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[18, 30, 61, 3], Operations: []
Exploring Operation: 18*3=54, Resulting Numbers: [30, 61, 54]
Generated Node #0,0: 47:[30, 61, 54] Operation: 18*3=54
Exploring Operation: 61-3=58, Resulting Numbers: [18, 30, 58]
Generated Node #0,1: 47:[18, 30, 58] Operation: 61-3=58
Exploring Operation: 18+30=48, Resulting Numbers: [61, 3, 48]
Generated Node #0,2: 47:[61, 3, 48] Operation: 18+30=48
Exploring Operation: 18+3=21, Resulting Numbers: [30, 61, 21]
Generated Node #0,3: 47:[30, 61, 21] Operation: 18+3=21
Exploring Operation: 30+3=33, Resulting Numbers: [18, 61, 33]
Generated Node #0,4: 47:[18, 61, 33] Operation: 30+3=33
Moving to Node #0,0
Current State: 47:[30, 61, 54], Operations: ['18*3=54']
Exploring Operation: 30+61=91, Resulting Numbers: [54, 91]
Generated Node #0,0,0: 47:[54, 91] Operation: 30+61=91
Exploring Operation: 61-54=7, Resulting Numbers: [30, 7]
Generated Node #0,0,1: 47:[30, 7] Operation: 61-54=7
Exploring Operation: 54-30=24, Resulting Numbers: [61, 24]
Generated Node #0,0,2: 47:[61, 24] Operation: 54-30=24
Exploring Operation: 30+54=84, Resulting Numbers: [61, 84]
Generated Node #0,0,3: 47:[61, 84] Operation: 30+54=84
Exploring Operation: 61-30=31, Resulting Numbers: [54, 31]
Generated Node #0,0,4: 47:[54, 31] Operation: 61-30=31
Moving to Node #0,3
Current State: 47:[30, 61, 21], Operations: ['18+3=21']
Exploring Operation: 61-30=31, Resulting Numbers: [21, 31]
Generated Node #0,3,0: 47:[21, 31] Operation: 61-30=31
Exploring Operation: 30-21=9, Resulting Numbers: [61, 9]
Generated Node #0,3,1: 47:[61, 9] Operation: 30-21=9
Exploring Operation: 30+21=51, Resulting Numbers: [61, 51]
Generated Node #0,3,2: 47:[61, 51] Operation: 30+21=51
Exploring Operation: 61+21=82, Resulting Numbers: [30, 82]
Generated Node #0,3,3: 47:[30, 82] Operation: 61+21=82
Exploring Operation: 61-21=40, Resulting Numbers: [30, 40]
Generated Node #0,3,4: 47:[30, 40] Operation: 61-21=40
Moving to Node #0,1
Current State: 47:[18, 30, 58], Operations: ['61-3=58']
Exploring Operation: 58-30=28, Resulting Numbers: [18, 28]
Generated Node #0,1,0: 47:[18, 28] Operation: 58-30=28
Exploring Operation: 18+30=48, Resulting Numbers: [58, 48]
Generated Node #0,1,1: 47:[58, 48] Operation: 18+30=48
Exploring Operation: 58-18=40, Resulting Numbers: [30, 40]
Generated Node #0,1,2: 47:[30, 40] Operation: 58-18=40
Exploring Operation: 18+58=76, Resulting Numbers: [30, 76]
Generated Node #0,1,3: 47:[30, 76] Operation: 18+58=76
Exploring Operation: 30-18=12, Resulting Numbers: [58, 12]
Generated Node #0,1,4: 47:[58, 12] Operation: 30-18=12
Moving to Node #0,4
Current State: 47:[18, 61, 33], Operations: ['30+3=33']
Exploring Operation: 18+33=51, Resulting Numbers: [61, 51]
Generated Node #0,4,0: 47:[61, 51] Operation: 18+33=51
Exploring Operation: 61-18=43, Resulting Numbers: [33, 43]
Generated Node #0,4,1: 47:[33, 43] Operation: 61-18=43
Exploring Operation: 33-18=15, Resulting Numbers: [61, 15]
Generated Node #0,4,2: 47:[61, 15] Operation: 33-18=15
Exploring Operation: 18+61=79, Resulting Numbers: [33, 79]
Generated Node #0,4,3: 47:[33, 79] Operation: 18+61=79
Exploring Operation: 61-33=28, Resulting Numbers: [18, 28]
Generated Node #0,4,4: 47:[18, 28] Operation: 61-33=28
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 47:[61, 51], Operations: ['30+3=33', '18+33=51']
Exploring Operation: 61*51=3111, Resulting Numbers: [3111]
3111,47 unequal: No Solution
Exploring Operation: 61-51=10, Resulting Numbers: [10]
10,47 unequal: No Solution
Exploring Operation: 61+51=112, Resulting Numbers: [112]
112,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 47:[33, 43], Operations: ['30+3=33', '61-18=43']
Exploring Operation: 33+43=76, Resulting Numbers: [76]
76,47 unequal: No Solution
Exploring Operation: 33*43=1419, Resulting Numbers: [1419]
1419,47 unequal: No Solution
Exploring Operation: 43-33=10, Resulting Numbers: [10]
10,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 47:[61, 15], Operations: ['30+3=33', '33-18=15']
Exploring Operation: 61+15=76, Resulting Numbers: [76]
76,47 unequal: No Solution
Exploring Operation: 61-15=46, Resulting Numbers: [46]
46,47 unequal: No Solution
Exploring Operation: 61*15=915, Resulting Numbers: [915]
915,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 47:[33, 79], Operations: ['30+3=33', '18+61=79']
Exploring Operation: 33+79=112, Resulting Numbers: [112]
112,47 unequal: No Solution
Exploring Operation: 33*79=2607, Resulting Numbers: [2607]
2607,47 unequal: No Solution
Exploring Operation: 79-33=46, Resulting Numbers: [46]
46,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 47:[18, 28], Operations: ['30+3=33', '61-33=28']
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,47 unequal: No Solution
Exploring Operation: 18+28=46, Resulting Numbers: [46]
46,47 unequal: No Solution
Exploring Operation: 18*28=504, Resulting Numbers: [504]
504,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 47:[61, 3, 48], Operations: ['18+30=48']
Exploring Operation: 48-3=45, Resulting Numbers: [61, 45]
Generated Node #0,2,0: 47:[61, 45] Operation: 48-3=45
Exploring Operation: 61-3=58, Resulting Numbers: [48, 58]
Generated Node #0,2,1: 47:[48, 58] Operation: 61-3=58
Exploring Operation: 3+48=51, Resulting Numbers: [61, 51]
Generated Node #0,2,2: 47:[61, 51] Operation: 3+48=51
Exploring Operation: 61+3=64, Resulting Numbers: [48, 64]
Generated Node #0,2,3: 47:[48, 64] Operation: 61+3=64
Exploring Operation: 48/3=16, Resulting Numbers: [61, 16]
Generated Node #0,2,4: 47:[61, 16] Operation: 48/3=16
Moving to Node #0,1,1
Current State: 47:[58, 48], Operations: ['61-3=58', '18+30=48']
Exploring Operation: 58-48=10, Resulting Numbers: [10]
10,47 unequal: No Solution
Exploring Operation: 58*48=2784, Resulting Numbers: [2784]
2784,47 unequal: No Solution
Exploring Operation: 58+48=106, Resulting Numbers: [106]
106,47 unequal: No Solution
Moving to Node #0,2,1
Current State: 47:[48, 58], Operations: ['18+30=48', '61-3=58']
Exploring Operation: 48*58=2784, Resulting Numbers: [2784]
2784,47 unequal: No Solution
Exploring Operation: 58-48=10, Resulting Numbers: [10]
10,47 unequal: No Solution
Exploring Operation: 48+58=106, Resulting Numbers: [106]
106,47 unequal: No Solution
Moving to Node #0,2,0
Current State: 47:[61, 45], Operations: ['18+30=48', '48-3=45']
Exploring Operation: 61*45=2745, Resulting Numbers: [2745]
2745,47 unequal: No Solution
Exploring Operation: 61+45=106, Resulting Numbers: [106]
106,47 unequal: No Solution
Exploring Operation: 61-45=16, Resulting Numbers: [16]
16,47 unequal: No Solution
Moving to Node #0,2,2
Current State: 47:[61, 51], Operations: ['18+30=48', '3+48=51']
Exploring Operation: 61-51=10, Resulting Numbers: [10]
10,47 unequal: No Solution
Exploring Operation: 61*51=3111, Resulting Numbers: [3111]
3111,47 unequal: No Solution
Exploring Operation: 61+51=112, Resulting Numbers: [112]
112,47 unequal: No Solution
Moving to Node #0,2,3
Current State: 47:[48, 64], Operations: ['18+30=48', '61+3=64']
Exploring Operation: 48*64=3072, Resulting Numbers: [3072]
3072,47 unequal: No Solution
Exploring Operation: 48+64=112, Resulting Numbers: [112]
112,47 unequal: No Solution
Exploring Operation: 64-48=16, Resulting Numbers: [16]
16,47 unequal: No Solution
Moving to Node #0,3,2
Current State: 47:[61, 51], Operations: ['18+3=21', '30+21=51']
Exploring Operation: 61-51=10, Resulting Numbers: [10]
10,47 unequal: No Solution
Exploring Operation: 61+51=112, Resulting Numbers: [112]
112,47 unequal: No Solution
Exploring Operation: 61*51=3111, Resulting Numbers: [3111]
3111,47 unequal: No Solution
Moving to Node #0,0,4
Current State: 47:[54, 31], Operations: ['18*3=54', '61-30=31']
Exploring Operation: 54*31=1674, Resulting Numbers: [1674]
1674,47 unequal: No Solution
Exploring Operation: 54+31=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,47 unequal: No Solution
Moving to Node #0,3,4
Current State: 47:[30, 40], Operations: ['18+3=21', '61-21=40']
Exploring Operation: 30+40=70, Resulting Numbers: [70]
70,47 unequal: No Solution
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,47 unequal: No Solution
Exploring Operation: 30*40=1200, Resulting Numbers: [1200]
1200,47 unequal: No Solution
Moving to Node #0,1,2
Current State: 47:[30, 40], Operations: ['61-3=58', '58-18=40']
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,47 unequal: No Solution
Exploring Operation: 30*40=1200, Resulting Numbers: [1200]
1200,47 unequal: No Solution
Exploring Operation: 30+40=70, Resulting Numbers: [70]
70,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[61, 24], Operations: ['18*3=54', '54-30=24']
Exploring Operation: 61+24=85, Resulting Numbers: [85]
85,47 unequal: No Solution
Exploring Operation: 61*24=1464, Resulting Numbers: [1464]
1464,47 unequal: No Solution
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,47 unequal: No Solution
Moving to Node #0,3,0
Current State: 47:[21, 31], Operations: ['18+3=21', '61-30=31']
Exploring Operation: 31-21=10, Resulting Numbers: [10]
10,47 unequal: No Solution
Exploring Operation: 21*31=651, Resulting Numbers: [651]
651,47 unequal: No Solution
Exploring Operation: 21+31=52, Resulting Numbers: [52]
52,47 unequal: No Solution
Moving to Node #0,2,4
Current State: 47:[61, 16], Operations: ['18+30=48', '48/3=16']
Exploring Operation: 61+16=77, Resulting Numbers: [77]
77,47 unequal: No Solution
Exploring Operation: 61-16=45, Resulting Numbers: [45]
45,47 unequal: No Solution
Exploring Operation: 61*16=976, Resulting Numbers: [976]
976,47 unequal: No Solution
Moving to Node #0,1,4
Current State: 47:[58, 12], Operations: ['61-3=58', '30-18=12']
Exploring Operation: 58-12=46, Resulting Numbers: [46]
46,47 unequal: No Solution
Exploring Operation: 58+12=70, Resulting Numbers: [70]
70,47 unequal: No Solution
Exploring Operation: 58*12=696, Resulting Numbers: [696]
696,47 unequal: No Solution
Moving to Node #0,1,3
Current State: 47:[30, 76], Operations: ['61-3=58', '18+58=76']
Exploring Operation: 30+76=106, Resulting Numbers: [106]
106,47 unequal: No Solution
Exploring Operation: 30*76=2280, Resulting Numbers: [2280]
2280,47 unequal: No Solution
Exploring Operation: 76-30=46, Resulting Numbers: [46]
46,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[18, 28], Operations: ['61-3=58', '58-30=28']
Exploring Operation: 18+28=46, Resulting Numbers: [46]
46,47 unequal: No Solution
Exploring Operation: 18*28=504, Resulting Numbers: [504]
504,47 unequal: No Solution
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,47 unequal: No Solution
Moving to Node #0,0,3
Current State: 47:[61, 84], Operations: ['18*3=54', '30+54=84']
Exploring Operation: 61+84=145, Resulting Numbers: [145]
145,47 unequal: No Solution
Exploring Operation: 84-61=23, Resulting Numbers: [23]
23,47 unequal: No Solution
Exploring Operation: 61*84=5124, Resulting Numbers: [5124]
5124,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[54, 91], Operations: ['18*3=54', '30+61=91']
Exploring Operation: 54+91=145, Resulting Numbers: [145]
145,47 unequal: No Solution
Exploring Operation: 91-54=37, Resulting Numbers: [37]
37,47 unequal: No Solution
Exploring Operation: 54*91=4914, Resulting Numbers: [4914]
4914,47 unequal: No Solution
Moving to Node #0,3,1
Current State: 47:[61, 9], Operations: ['18+3=21', '30-21=9']
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,47 unequal: No Solution
Exploring Operation: 61+9=70, Resulting Numbers: [70]
70,47 unequal: No Solution
Exploring Operation: 61*9=549, Resulting Numbers: [549]
549,47 unequal: No Solution
Moving to Node #0,3,3
Current State: 47:[30, 82], Operations: ['18+3=21', '61+21=82']
Exploring Operation: 30*82=2460, Resulting Numbers: [2460]
2460,47 unequal: No Solution
Exploring Operation: 82-30=52, Resulting Numbers: [52]
52,47 unequal: No Solution
Exploring Operation: 30+82=112, Resulting Numbers: [112]
112,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[30, 7], Operations: ['18*3=54', '61-54=7']
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,47 unequal: No Solution
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,47 unequal: No Solution
Exploring Operation: 30*7=210, Resulting Numbers: [210]
210,47 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
51,
87,
33,
15
] | 35 | [
"87+15=102",
"102/51=2",
"33+2=35"
] | Current State: 35:[51, 87, 33, 15], Operations: []
Exploring Operation: 87+15=102, Resulting Numbers: [51, 33, 102]
Generated Node #2: [51, 33, 102] from Operation: 87+15=102
Current State: 35:[51, 33, 102], Operations: ['87+15=102']
Exploring Operation: 102/51=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 102/51=2
Current State: 35:[33, 2], Operations: ['87+15=102', '102/51=2']
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[51, 87, 33, 15], Operations: []
Exploring Operation: 87-51=36, Resulting Numbers: [33, 15, 36]
Generated Node #0,0: 35:[33, 15, 36] Operation: 87-51=36
Exploring Operation: 87-33=54, Resulting Numbers: [51, 15, 54]
Generated Node #0,1: 35:[51, 15, 54] Operation: 87-33=54
Exploring Operation: 51-15=36, Resulting Numbers: [87, 33, 36]
Generated Node #0,2: 35:[87, 33, 36] Operation: 51-15=36
Moving to Node #0,0
Current State: 35:[33, 15, 36], Operations: ['87-51=36']
Exploring Operation: 33+15=48, Resulting Numbers: [36, 48]
Generated Node #0,0,0: 35:[36, 48] Operation: 33+15=48
Exploring Operation: 36-33=3, Resulting Numbers: [15, 3]
Generated Node #0,0,1: 35:[15, 3] Operation: 36-33=3
Exploring Operation: 33-15=18, Resulting Numbers: [36, 18]
Generated Node #0,0,2: 35:[36, 18] Operation: 33-15=18
Moving to Node #0,1
Current State: 35:[51, 15, 54], Operations: ['87-33=54']
Exploring Operation: 54-15=39, Resulting Numbers: [51, 39]
Generated Node #0,1,0: 35:[51, 39] Operation: 54-15=39
Exploring Operation: 54-51=3, Resulting Numbers: [15, 3]
Generated Node #0,1,1: 35:[15, 3] Operation: 54-51=3
Exploring Operation: 51-15=36, Resulting Numbers: [54, 36]
Generated Node #0,1,2: 35:[54, 36] Operation: 51-15=36
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 35:[15, 3], Operations: ['87-33=54', '54-51=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,35 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,35 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 35:[51, 39], Operations: ['87-33=54', '54-15=39']
Exploring Operation: 51*39=1989, Resulting Numbers: [1989]
1989,35 unequal: No Solution
Exploring Operation: 51-39=12, Resulting Numbers: [12]
12,35 unequal: No Solution
Exploring Operation: 51+39=90, Resulting Numbers: [90]
90,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 35:[54, 36], Operations: ['87-33=54', '51-15=36']
Exploring Operation: 54+36=90, Resulting Numbers: [90]
90,35 unequal: No Solution
Exploring Operation: 54-36=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 54*36=1944, Resulting Numbers: [1944]
1944,35 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: 35:[87, 33, 36], Operations: ['51-15=36']
Exploring Operation: 87-36=51, Resulting Numbers: [33, 51]
Generated Node #0,2,0: 35:[33, 51] Operation: 87-36=51
Exploring Operation: 87-33=54, Resulting Numbers: [36, 54]
Generated Node #0,2,1: 35:[36, 54] Operation: 87-33=54
Exploring Operation: 36-33=3, Resulting Numbers: [87, 3]
Generated Node #0,2,2: 35:[87, 3] Operation: 36-33=3
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 35:[33, 51], Operations: ['51-15=36', '87-36=51']
Exploring Operation: 51-33=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 33*51=1683, Resulting Numbers: [1683]
1683,35 unequal: No Solution
Exploring Operation: 33+51=84, Resulting Numbers: [84]
84,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 35:[36, 54], Operations: ['51-15=36', '87-33=54']
Exploring Operation: 36+54=90, Resulting Numbers: [90]
90,35 unequal: No Solution
Exploring Operation: 36*54=1944, Resulting Numbers: [1944]
1944,35 unequal: No Solution
Exploring Operation: 54-36=18, Resulting Numbers: [18]
18,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 35:[87, 3], Operations: ['51-15=36', '36-33=3']
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,35 unequal: No Solution
Exploring Operation: 87+3=90, Resulting Numbers: [90]
90,35 unequal: No Solution
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 35:[15, 3], Operations: ['87-51=36', '36-33=3']
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,35 unequal: No Solution
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,35 unequal: No Solution
Moving to Node #0,0,2
Current State: 35:[36, 18], Operations: ['87-51=36', '33-15=18']
Exploring Operation: 36+18=54, Resulting Numbers: [54]
54,35 unequal: No Solution
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Moving to Node #0,0,0
Current State: 35:[36, 48], Operations: ['87-51=36', '33+15=48']
Exploring Operation: 48-36=12, Resulting Numbers: [12]
12,35 unequal: No Solution
Exploring Operation: 36+48=84, Resulting Numbers: [84]
84,35 unequal: No Solution
Exploring Operation: 36*48=1728, Resulting Numbers: [1728]
1728,35 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
15,
68,
95,
54
] | 13 | [
"95-68=27",
"54/27=2",
"15-2=13"
] | Current State: 13:[15, 68, 95, 54], Operations: []
Exploring Operation: 95-68=27, Resulting Numbers: [15, 54, 27]
Generated Node #2: [15, 54, 27] from Operation: 95-68=27
Current State: 13:[15, 54, 27], Operations: ['95-68=27']
Exploring Operation: 54/27=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 54/27=2
Current State: 13:[15, 2], Operations: ['95-68=27', '54/27=2']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[15, 68, 95, 54], Operations: []
Exploring Operation: 95-54=41, Resulting Numbers: [15, 68, 41]
Generated Node #0,0: 13:[15, 68, 41] Operation: 95-54=41
Exploring Operation: 68-54=14, Resulting Numbers: [15, 95, 14]
Generated Node #0,1: 13:[15, 95, 14] Operation: 68-54=14
Exploring Operation: 95-68=27, Resulting Numbers: [15, 54, 27]
Generated Node #0,2: 13:[15, 54, 27] Operation: 95-68=27
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[15, 54, 27], Operations: ['95-68=27']
Exploring Operation: 54-27=27, Resulting Numbers: [15, 27]
Generated Node #0,2,0: 13:[15, 27] Operation: 54-27=27
Exploring Operation: 54-15=39, Resulting Numbers: [27, 39]
Generated Node #0,2,1: 13:[27, 39] Operation: 54-15=39
Exploring Operation: 54/27=2, Resulting Numbers: [15, 2]
Generated Node #0,2,2: 13:[15, 2] Operation: 54/27=2
Moving to Node #0,2,2
Current State: 13:[15, 2], Operations: ['95-68=27', '54/27=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,13 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[15, 68, 95, 54], Operations: []
Exploring Operation: 95-68=27, Resulting Numbers: [15, 54, 27]
Generated Node #0,2: 13:[15, 54, 27] Operation: 95-68=27
Moving to Node #0,2
Current State: 13:[15, 54, 27], Operations: ['95-68=27']
Exploring Operation: 54/27=2, Resulting Numbers: [15, 2]
Generated Node #0,2,2: 13:[15, 2] Operation: 54/27=2
Moving to Node #0,2,2
Current State: 13:[15, 2], Operations: ['95-68=27', '54/27=2']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
32,
12,
7,
2
] | 53 | [
"32+12=44",
"7+2=9",
"44+9=53"
] | Current State: 53:[32, 12, 7, 2], Operations: []
Exploring Operation: 32+12=44, Resulting Numbers: [7, 2, 44]
Generated Node #2: [7, 2, 44] from Operation: 32+12=44
Current State: 53:[7, 2, 44], Operations: ['32+12=44']
Exploring Operation: 7+2=9, Resulting Numbers: [44, 9]
Generated Node #3: [44, 9] from Operation: 7+2=9
Current State: 53:[44, 9], Operations: ['32+12=44', '7+2=9']
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[32, 12, 7, 2], Operations: []
Exploring Operation: 32*2=64, Resulting Numbers: [12, 7, 64]
Generated Node #0,0: 53:[12, 7, 64] Operation: 32*2=64
Exploring Operation: 7*2=14, Resulting Numbers: [32, 12, 14]
Generated Node #0,1: 53:[32, 12, 14] Operation: 7*2=14
Exploring Operation: 12*2=24, Resulting Numbers: [32, 7, 24]
Generated Node #0,2: 53:[32, 7, 24] Operation: 12*2=24
Moving to Node #0,2
Current State: 53:[32, 7, 24], Operations: ['12*2=24']
Exploring Operation: 32+24=56, Resulting Numbers: [7, 56]
Generated Node #0,2,0: 53:[7, 56] Operation: 32+24=56
Exploring Operation: 7+24=31, Resulting Numbers: [32, 31]
Generated Node #0,2,1: 53:[32, 31] Operation: 7+24=31
Exploring Operation: 32+7=39, Resulting Numbers: [24, 39]
Generated Node #0,2,2: 53:[24, 39] Operation: 32+7=39
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 53:[32, 31], Operations: ['12*2=24', '7+24=31']
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 32+31=63, Resulting Numbers: [63]
63,53 unequal: No Solution
Exploring Operation: 32*31=992, Resulting Numbers: [992]
992,53 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 #0,2,2
Current State: 53:[24, 39], Operations: ['12*2=24', '32+7=39']
Exploring Operation: 24+39=63, Resulting Numbers: [63]
63,53 unequal: No Solution
Exploring Operation: 24*39=936, Resulting Numbers: [936]
936,53 unequal: No Solution
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,53 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 #0,2,0
Current State: 53:[7, 56], Operations: ['12*2=24', '32+24=56']
Exploring Operation: 7+56=63, Resulting Numbers: [63]
63,53 unequal: No Solution
Exploring Operation: 56/7=8, Resulting Numbers: [8]
8,53 unequal: No Solution
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,53 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: 53:[12, 7, 64], Operations: ['32*2=64']
Exploring Operation: 12*7=84, Resulting Numbers: [64, 84]
Generated Node #0,0,0: 53:[64, 84] Operation: 12*7=84
Exploring Operation: 12+7=19, Resulting Numbers: [64, 19]
Generated Node #0,0,1: 53:[64, 19] Operation: 12+7=19
Exploring Operation: 64-7=57, Resulting Numbers: [12, 57]
Generated Node #0,0,2: 53:[12, 57] Operation: 64-7=57
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[64, 84], Operations: ['32*2=64', '12*7=84']
Exploring Operation: 64*84=5376, Resulting Numbers: [5376]
5376,53 unequal: No Solution
Exploring Operation: 84-64=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Exploring Operation: 64+84=148, Resulting Numbers: [148]
148,53 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 #0,0,1
Current State: 53:[64, 19], Operations: ['32*2=64', '12+7=19']
Exploring Operation: 64*19=1216, Resulting Numbers: [1216]
1216,53 unequal: No Solution
Exploring Operation: 64+19=83, Resulting Numbers: [83]
83,53 unequal: No Solution
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,53 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 #0,0,2
Current State: 53:[12, 57], Operations: ['32*2=64', '64-7=57']
Exploring Operation: 57-12=45, Resulting Numbers: [45]
45,53 unequal: No Solution
Exploring Operation: 12*57=684, Resulting Numbers: [684]
684,53 unequal: No Solution
Exploring Operation: 12+57=69, Resulting Numbers: [69]
69,53 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: 53:[32, 12, 14], Operations: ['7*2=14']
Exploring Operation: 32+14=46, Resulting Numbers: [12, 46]
Generated Node #0,1,0: 53:[12, 46] Operation: 32+14=46
Exploring Operation: 32+12=44, Resulting Numbers: [14, 44]
Generated Node #0,1,1: 53:[14, 44] Operation: 32+12=44
Exploring Operation: 12+14=26, Resulting Numbers: [32, 26]
Generated Node #0,1,2: 53:[32, 26] Operation: 12+14=26
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 53:[12, 46], Operations: ['7*2=14', '32+14=46']
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Exploring Operation: 12*46=552, Resulting Numbers: [552]
552,53 unequal: No Solution
Exploring Operation: 12+46=58, Resulting Numbers: [58]
58,53 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 #0,1,1
Current State: 53:[14, 44], Operations: ['7*2=14', '32+12=44']
Exploring Operation: 14*44=616, Resulting Numbers: [616]
616,53 unequal: No Solution
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,53 unequal: No Solution
Exploring Operation: 14+44=58, Resulting Numbers: [58]
58,53 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:[32, 26], Operations: ['7*2=14', '12+14=26']
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,53 unequal: No Solution
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Exploring Operation: 32*26=832, Resulting Numbers: [832]
832,53 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 |
[
85,
42,
23,
25
] | 18 | [
"42-25=17",
"85/17=5",
"23-5=18"
] | Current State: 18:[85, 42, 23, 25], Operations: []
Exploring Operation: 42-25=17, Resulting Numbers: [85, 23, 17]
Generated Node #2: [85, 23, 17] from Operation: 42-25=17
Current State: 18:[85, 23, 17], Operations: ['42-25=17']
Exploring Operation: 85/17=5, Resulting Numbers: [23, 5]
Generated Node #3: [23, 5] from Operation: 85/17=5
Current State: 18:[23, 5], Operations: ['42-25=17', '85/17=5']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[85, 42, 23, 25], Operations: []
Exploring Operation: 85-25=60, Resulting Numbers: [42, 23, 60]
Generated Node #0,0: 18:[42, 23, 60] Operation: 85-25=60
Exploring Operation: 42-23=19, Resulting Numbers: [85, 25, 19]
Generated Node #0,1: 18:[85, 25, 19] Operation: 42-23=19
Exploring Operation: 42-25=17, Resulting Numbers: [85, 23, 17]
Generated Node #0,2: 18:[85, 23, 17] Operation: 42-25=17
Exploring Operation: 85-23=62, Resulting Numbers: [42, 25, 62]
Generated Node #0,3: 18:[42, 25, 62] Operation: 85-23=62
Exploring Operation: 85-42=43, Resulting Numbers: [23, 25, 43]
Generated Node #0,4: 18:[23, 25, 43] Operation: 85-42=43
Moving to Node #0,4
Current State: 18:[23, 25, 43], Operations: ['85-42=43']
Exploring Operation: 23+43=66, Resulting Numbers: [25, 66]
Generated Node #0,4,0: 18:[25, 66] Operation: 23+43=66
Exploring Operation: 43-25=18, Resulting Numbers: [23, 18]
Generated Node #0,4,1: 18:[23, 18] Operation: 43-25=18
Exploring Operation: 43-23=20, Resulting Numbers: [25, 20]
Generated Node #0,4,2: 18:[25, 20] Operation: 43-23=20
Exploring Operation: 23+25=48, Resulting Numbers: [43, 48]
Generated Node #0,4,3: 18:[43, 48] Operation: 23+25=48
Exploring Operation: 25-23=2, Resulting Numbers: [43, 2]
Generated Node #0,4,4: 18:[43, 2] Operation: 25-23=2
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 18:[23, 18], Operations: ['85-42=43', '43-25=18']
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 23+18=41, Resulting Numbers: [41]
41,18 unequal: No Solution
Exploring Operation: 23*18=414, Resulting Numbers: [414]
414,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 18:[25, 20], Operations: ['85-42=43', '43-23=20']
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 25+20=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 25*20=500, Resulting Numbers: [500]
500,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 18:[43, 2], Operations: ['85-42=43', '25-23=2']
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 43*2=86, Resulting Numbers: [86]
86,18 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 18:[25, 66], Operations: ['85-42=43', '23+43=66']
Exploring Operation: 25*66=1650, Resulting Numbers: [1650]
1650,18 unequal: No Solution
Exploring Operation: 25+66=91, Resulting Numbers: [91]
91,18 unequal: No Solution
Exploring Operation: 66-25=41, Resulting Numbers: [41]
41,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 18:[43, 48], Operations: ['85-42=43', '23+25=48']
Exploring Operation: 48-43=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 43*48=2064, Resulting Numbers: [2064]
2064,18 unequal: No Solution
Exploring Operation: 43+48=91, Resulting Numbers: [91]
91,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 18:[42, 23, 60], Operations: ['85-25=60']
Exploring Operation: 42-23=19, Resulting Numbers: [60, 19]
Generated Node #0,0,0: 18:[60, 19] Operation: 42-23=19
Exploring Operation: 42+23=65, Resulting Numbers: [60, 65]
Generated Node #0,0,1: 18:[60, 65] Operation: 42+23=65
Exploring Operation: 60-23=37, Resulting Numbers: [42, 37]
Generated Node #0,0,2: 18:[42, 37] Operation: 60-23=37
Exploring Operation: 42+60=102, Resulting Numbers: [23, 102]
Generated Node #0,0,3: 18:[23, 102] Operation: 42+60=102
Exploring Operation: 60-42=18, Resulting Numbers: [23, 18]
Generated Node #0,0,4: 18:[23, 18] Operation: 60-42=18
Moving to Node #0,2
Current State: 18:[85, 23, 17], Operations: ['42-25=17']
Exploring Operation: 85-23=62, Resulting Numbers: [17, 62]
Generated Node #0,2,0: 18:[17, 62] Operation: 85-23=62
Exploring Operation: 23-17=6, Resulting Numbers: [85, 6]
Generated Node #0,2,1: 18:[85, 6] Operation: 23-17=6
Exploring Operation: 85/17=5, Resulting Numbers: [23, 5]
Generated Node #0,2,2: 18:[23, 5] Operation: 85/17=5
Exploring Operation: 85-17=68, Resulting Numbers: [23, 68]
Generated Node #0,2,3: 18:[23, 68] Operation: 85-17=68
Exploring Operation: 85+17=102, Resulting Numbers: [23, 102]
Generated Node #0,2,4: 18:[23, 102] Operation: 85+17=102
Moving to Node #0,1
Current State: 18:[85, 25, 19], Operations: ['42-23=19']
Exploring Operation: 25-19=6, Resulting Numbers: [85, 6]
Generated Node #0,1,0: 18:[85, 6] Operation: 25-19=6
Exploring Operation: 85+25=110, Resulting Numbers: [19, 110]
Generated Node #0,1,1: 18:[19, 110] Operation: 85+25=110
Exploring Operation: 85-19=66, Resulting Numbers: [25, 66]
Generated Node #0,1,2: 18:[25, 66] Operation: 85-19=66
Exploring Operation: 85+19=104, Resulting Numbers: [25, 104]
Generated Node #0,1,3: 18:[25, 104] Operation: 85+19=104
Exploring Operation: 85-25=60, Resulting Numbers: [19, 60]
Generated Node #0,1,4: 18:[19, 60] Operation: 85-25=60
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 18:[19, 60], Operations: ['42-23=19', '85-25=60']
Exploring Operation: 19*60=1140, Resulting Numbers: [1140]
1140,18 unequal: No Solution
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,18 unequal: No Solution
Exploring Operation: 19+60=79, Resulting Numbers: [79]
79,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 18:[25, 66], Operations: ['42-23=19', '85-19=66']
Exploring Operation: 25+66=91, Resulting Numbers: [91]
91,18 unequal: No Solution
Exploring Operation: 25*66=1650, Resulting Numbers: [1650]
1650,18 unequal: No Solution
Exploring Operation: 66-25=41, Resulting Numbers: [41]
41,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 18:[85, 6], Operations: ['42-23=19', '25-19=6']
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,18 unequal: No Solution
Exploring Operation: 85+6=91, Resulting Numbers: [91]
91,18 unequal: No Solution
Exploring Operation: 85*6=510, Resulting Numbers: [510]
510,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 18:[19, 110], Operations: ['42-23=19', '85+25=110']
Exploring Operation: 19+110=129, Resulting Numbers: [129]
129,18 unequal: No Solution
Exploring Operation: 110-19=91, Resulting Numbers: [91]
91,18 unequal: No Solution
Exploring Operation: 19*110=2090, Resulting Numbers: [2090]
2090,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 18:[25, 104], Operations: ['42-23=19', '85+19=104']
Exploring Operation: 104-25=79, Resulting Numbers: [79]
79,18 unequal: No Solution
Exploring Operation: 25+104=129, Resulting Numbers: [129]
129,18 unequal: No Solution
Exploring Operation: 25*104=2600, Resulting Numbers: [2600]
2600,18 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: 18:[42, 25, 62], Operations: ['85-23=62']
Exploring Operation: 62-25=37, Resulting Numbers: [42, 37]
Generated Node #0,3,0: 18:[42, 37] Operation: 62-25=37
Exploring Operation: 42+62=104, Resulting Numbers: [25, 104]
Generated Node #0,3,1: 18:[25, 104] Operation: 42+62=104
Exploring Operation: 62-42=20, Resulting Numbers: [25, 20]
Generated Node #0,3,2: 18:[25, 20] Operation: 62-42=20
Exploring Operation: 42+25=67, Resulting Numbers: [62, 67]
Generated Node #0,3,3: 18:[62, 67] Operation: 42+25=67
Exploring Operation: 42-25=17, Resulting Numbers: [62, 17]
Generated Node #0,3,4: 18:[62, 17] Operation: 42-25=17
Moving to Node #0,0,4
Current State: 18:[23, 18], Operations: ['85-25=60', '60-42=18']
Exploring Operation: 23*18=414, Resulting Numbers: [414]
414,18 unequal: No Solution
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 23+18=41, Resulting Numbers: [41]
41,18 unequal: No Solution
Moving to Node #0,2,2
Current State: 18:[23, 5], Operations: ['42-25=17', '85/17=5']
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,18 unequal: No Solution
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[85, 42, 23, 25], Operations: []
Exploring Operation: 42-25=17, Resulting Numbers: [85, 23, 17]
Generated Node #0,2: 18:[85, 23, 17] Operation: 42-25=17
Moving to Node #0,2
Current State: 18:[85, 23, 17], Operations: ['42-25=17']
Exploring Operation: 85/17=5, Resulting Numbers: [23, 5]
Generated Node #0,2,2: 18:[23, 5] Operation: 85/17=5
Moving to Node #0,2,2
Current State: 18:[23, 5], Operations: ['42-25=17', '85/17=5']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 0.940104 | hs_5 | mult_heuristic |
[
68,
58,
55,
6
] | 33 | [
"68-58=10",
"55*6=330",
"330/10=33"
] | Current State: 33:[68, 58, 55, 6], Operations: []
Exploring Operation: 68-58=10, Resulting Numbers: [55, 6, 10]
Generated Node #2: [55, 6, 10] from Operation: 68-58=10
Current State: 33:[55, 6, 10], Operations: ['68-58=10']
Exploring Operation: 55*6=330, Resulting Numbers: [10, 330]
Generated Node #3: [10, 330] from Operation: 55*6=330
Current State: 33:[10, 330], Operations: ['68-58=10', '55*6=330']
Exploring Operation: 330/10=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[68, 58, 55, 6], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [68, 6, 3]
Generated Node #0,0: 33:[68, 6, 3] Operation: 58-55=3
Exploring Operation: 68-55=13, Resulting Numbers: [58, 6, 13]
Generated Node #0,1: 33:[58, 6, 13] Operation: 68-55=13
Exploring Operation: 68-6=62, Resulting Numbers: [58, 55, 62]
Generated Node #0,2: 33:[58, 55, 62] Operation: 68-6=62
Exploring Operation: 68-58=10, Resulting Numbers: [55, 6, 10]
Generated Node #0,3: 33:[55, 6, 10] Operation: 68-58=10
Moving to Node #0,3
Current State: 33:[55, 6, 10], Operations: ['68-58=10']
Exploring Operation: 55-6=49, Resulting Numbers: [10, 49]
Generated Node #0,3,0: 33:[10, 49] Operation: 55-6=49
Exploring Operation: 6+10=16, Resulting Numbers: [55, 16]
Generated Node #0,3,1: 33:[55, 16] Operation: 6+10=16
Exploring Operation: 10-6=4, Resulting Numbers: [55, 4]
Generated Node #0,3,2: 33:[55, 4] Operation: 10-6=4
Exploring Operation: 55-10=45, Resulting Numbers: [6, 45]
Generated Node #0,3,3: 33:[6, 45] Operation: 55-10=45
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 33:[6, 45], Operations: ['68-58=10', '55-10=45']
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Exploring Operation: 6+45=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 6*45=270, Resulting Numbers: [270]
270,33 unequal: No Solution
No 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: 33:[10, 49], Operations: ['68-58=10', '55-6=49']
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Exploring Operation: 10+49=59, Resulting Numbers: [59]
59,33 unequal: No Solution
Exploring Operation: 10*49=490, Resulting Numbers: [490]
490,33 unequal: No Solution
No 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: 33:[55, 4], Operations: ['68-58=10', '10-6=4']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,33 unequal: No Solution
Exploring Operation: 55*4=220, Resulting Numbers: [220]
220,33 unequal: No Solution
No 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: 33:[55, 16], Operations: ['68-58=10', '6+10=16']
Exploring Operation: 55*16=880, Resulting Numbers: [880]
880,33 unequal: No Solution
Exploring Operation: 55+16=71, Resulting Numbers: [71]
71,33 unequal: No Solution
Exploring Operation: 55-16=39, Resulting Numbers: [39]
39,33 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: 33:[58, 6, 13], Operations: ['68-55=13']
Exploring Operation: 58-13=45, Resulting Numbers: [6, 45]
Generated Node #0,1,0: 33:[6, 45] Operation: 58-13=45
Exploring Operation: 58-6=52, Resulting Numbers: [13, 52]
Generated Node #0,1,1: 33:[13, 52] Operation: 58-6=52
Exploring Operation: 13-6=7, Resulting Numbers: [58, 7]
Generated Node #0,1,2: 33:[58, 7] Operation: 13-6=7
Exploring Operation: 58+6=64, Resulting Numbers: [13, 64]
Generated Node #0,1,3: 33:[13, 64] Operation: 58+6=64
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 33:[6, 45], Operations: ['68-55=13', '58-13=45']
Exploring Operation: 6*45=270, Resulting Numbers: [270]
270,33 unequal: No Solution
Exploring Operation: 6+45=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,33 unequal: No Solution
No 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: 33:[13, 52], Operations: ['68-55=13', '58-6=52']
Exploring Operation: 52-13=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Exploring Operation: 52/13=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 13*52=676, Resulting Numbers: [676]
676,33 unequal: No Solution
Exploring Operation: 13+52=65, Resulting Numbers: [65]
65,33 unequal: No Solution
No 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: 33:[58, 7], Operations: ['68-55=13', '13-6=7']
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 58+7=65, Resulting Numbers: [65]
65,33 unequal: No Solution
Exploring Operation: 58*7=406, Resulting Numbers: [406]
406,33 unequal: No Solution
No 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: 33:[13, 64], Operations: ['68-55=13', '58+6=64']
Exploring Operation: 13*64=832, Resulting Numbers: [832]
832,33 unequal: No Solution
Exploring Operation: 64-13=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 13+64=77, Resulting Numbers: [77]
77,33 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: 33:[68, 6, 3], Operations: ['58-55=3']
Exploring Operation: 6/3=2, Resulting Numbers: [68, 2]
Generated Node #0,0,0: 33:[68, 2] Operation: 6/3=2
Exploring Operation: 6-3=3, Resulting Numbers: [68, 3]
Generated Node #0,0,1: 33:[68, 3] Operation: 6-3=3
Exploring Operation: 68-6=62, Resulting Numbers: [3, 62]
Generated Node #0,0,2: 33:[3, 62] Operation: 68-6=62
Exploring Operation: 68-3=65, Resulting Numbers: [6, 65]
Generated Node #0,0,3: 33:[6, 65] Operation: 68-3=65
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 33:[3, 62], Operations: ['58-55=3', '68-6=62']
Exploring Operation: 3*62=186, Resulting Numbers: [186]
186,33 unequal: No Solution
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,33 unequal: No Solution
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,33 unequal: No Solution
No 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: 33:[68, 3], Operations: ['58-55=3', '6-3=3']
Exploring Operation: 68+3=71, Resulting Numbers: [71]
71,33 unequal: No Solution
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,33 unequal: No Solution
Exploring Operation: 68*3=204, Resulting Numbers: [204]
204,33 unequal: No Solution
No 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: 33:[6, 65], Operations: ['58-55=3', '68-3=65']
Exploring Operation: 6*65=390, Resulting Numbers: [390]
390,33 unequal: No Solution
Exploring Operation: 65-6=59, Resulting Numbers: [59]
59,33 unequal: No Solution
Exploring Operation: 6+65=71, Resulting Numbers: [71]
71,33 unequal: No Solution
No 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: 33:[68, 2], Operations: ['58-55=3', '6/3=2']
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,33 unequal: No Solution
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,33 unequal: No Solution
Exploring Operation: 68*2=136, Resulting Numbers: [136]
136,33 unequal: No Solution
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,33 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: 33:[58, 55, 62], Operations: ['68-6=62']
Exploring Operation: 58+55=113, Resulting Numbers: [62, 113]
Generated Node #0,2,0: 33:[62, 113] Operation: 58+55=113
Exploring Operation: 58-55=3, Resulting Numbers: [62, 3]
Generated Node #0,2,1: 33:[62, 3] Operation: 58-55=3
Exploring Operation: 62-58=4, Resulting Numbers: [55, 4]
Generated Node #0,2,2: 33:[55, 4] Operation: 62-58=4
Exploring Operation: 62-55=7, Resulting Numbers: [58, 7]
Generated Node #0,2,3: 33:[58, 7] Operation: 62-55=7
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 33:[55, 4], Operations: ['68-6=62', '62-58=4']
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,33 unequal: No Solution
Exploring Operation: 55*4=220, Resulting Numbers: [220]
220,33 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,33 unequal: No Solution
No 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: 33:[62, 3], Operations: ['68-6=62', '58-55=3']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,33 unequal: No Solution
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,33 unequal: No Solution
Exploring Operation: 62*3=186, Resulting Numbers: [186]
186,33 unequal: No Solution
No 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: 33:[58, 7], Operations: ['68-6=62', '62-55=7']
Exploring Operation: 58+7=65, Resulting Numbers: [65]
65,33 unequal: No Solution
Exploring Operation: 58*7=406, Resulting Numbers: [406]
406,33 unequal: No Solution
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,33 unequal: No Solution
No 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: 33:[62, 113], Operations: ['68-6=62', '58+55=113']
Exploring Operation: 62*113=7006, Resulting Numbers: [7006]
7006,33 unequal: No Solution
Exploring Operation: 113-62=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 62+113=175, Resulting Numbers: [175]
175,33 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 |
[
32,
6,
50,
62
] | 38 | [
"32-6=26",
"62-50=12",
"26+12=38"
] | Current State: 38:[32, 6, 50, 62], Operations: []
Exploring Operation: 32-6=26, Resulting Numbers: [50, 62, 26]
Generated Node #2: [50, 62, 26] from Operation: 32-6=26
Current State: 38:[50, 62, 26], Operations: ['32-6=26']
Exploring Operation: 62-50=12, Resulting Numbers: [26, 12]
Generated Node #3: [26, 12] from Operation: 62-50=12
Current State: 38:[26, 12], Operations: ['32-6=26', '62-50=12']
Exploring Operation: 26+12=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[32, 6, 50, 62], Operations: []
Exploring Operation: 62-50=12, Resulting Numbers: [32, 6, 12]
Generated Node #0,0: 38:[32, 6, 12] Operation: 62-50=12
Exploring Operation: 62-32=30, Resulting Numbers: [6, 50, 30]
Generated Node #0,1: 38:[6, 50, 30] Operation: 62-32=30
Exploring Operation: 50-32=18, Resulting Numbers: [6, 62, 18]
Generated Node #0,2: 38:[6, 62, 18] Operation: 50-32=18
Exploring Operation: 32+6=38, Resulting Numbers: [50, 62, 38]
Generated Node #0,3: 38:[50, 62, 38] Operation: 32+6=38
Moving to Node #0,0
Current State: 38:[32, 6, 12], Operations: ['62-50=12']
Exploring Operation: 12/6=2, Resulting Numbers: [32, 2]
Generated Node #0,0,0: 38:[32, 2] Operation: 12/6=2
Exploring Operation: 6+12=18, Resulting Numbers: [32, 18]
Generated Node #0,0,1: 38:[32, 18] Operation: 6+12=18
Exploring Operation: 32-12=20, Resulting Numbers: [6, 20]
Generated Node #0,0,2: 38:[6, 20] Operation: 32-12=20
Exploring Operation: 32+6=38, Resulting Numbers: [12, 38]
Generated Node #0,0,3: 38:[12, 38] Operation: 32+6=38
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 38:[6, 20], Operations: ['62-50=12', '32-12=20']
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,38 unequal: No Solution
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,38 unequal: No Solution
Exploring Operation: 6*20=120, Resulting Numbers: [120]
120,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[32, 2], Operations: ['62-50=12', '12/6=2']
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,38 unequal: No Solution
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,38 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,38 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 38:[32, 18], Operations: ['62-50=12', '6+12=18']
Exploring Operation: 32+18=50, Resulting Numbers: [50]
50,38 unequal: No Solution
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,38 unequal: No Solution
Exploring Operation: 32*18=576, Resulting Numbers: [576]
576,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 38:[12, 38], Operations: ['62-50=12', '32+6=38']
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,38 unequal: No Solution
Exploring Operation: 12*38=456, Resulting Numbers: [456]
456,38 unequal: No Solution
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,38 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: 38:[6, 50, 30], Operations: ['62-32=30']
Exploring Operation: 50-30=20, Resulting Numbers: [6, 20]
Generated Node #0,1,0: 38:[6, 20] Operation: 50-30=20
Exploring Operation: 6+30=36, Resulting Numbers: [50, 36]
Generated Node #0,1,1: 38:[50, 36] Operation: 6+30=36
Exploring Operation: 50-6=44, Resulting Numbers: [30, 44]
Generated Node #0,1,2: 38:[30, 44] Operation: 50-6=44
Exploring Operation: 30/6=5, Resulting Numbers: [50, 5]
Generated Node #0,1,3: 38:[50, 5] Operation: 30/6=5
Moving to Node #0,2
Current State: 38:[6, 62, 18], Operations: ['50-32=18']
Exploring Operation: 6+18=24, Resulting Numbers: [62, 24]
Generated Node #0,2,0: 38:[62, 24] Operation: 6+18=24
Exploring Operation: 18/6=3, Resulting Numbers: [62, 3]
Generated Node #0,2,1: 38:[62, 3] Operation: 18/6=3
Exploring Operation: 62-6=56, Resulting Numbers: [18, 56]
Generated Node #0,2,2: 38:[18, 56] Operation: 62-6=56
Exploring Operation: 62-18=44, Resulting Numbers: [6, 44]
Generated Node #0,2,3: 38:[6, 44] Operation: 62-18=44
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 38:[6, 44], Operations: ['50-32=18', '62-18=44']
Exploring Operation: 6*44=264, Resulting Numbers: [264]
264,38 unequal: No Solution
Exploring Operation: 6+44=50, Resulting Numbers: [50]
50,38 unequal: No Solution
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[32, 6, 50, 62], Operations: []
Exploring Operation: 50-32=18, Resulting Numbers: [6, 62, 18]
Generated Node #0,2: 38:[6, 62, 18] Operation: 50-32=18
Moving to Node #0,2
Current State: 38:[6, 62, 18], Operations: ['50-32=18']
Exploring Operation: 62-18=44, Resulting Numbers: [6, 44]
Generated Node #0,2,3: 38:[6, 44] Operation: 62-18=44
Moving to Node #0,2,3
Current State: 38:[6, 44], Operations: ['50-32=18', '62-18=44']
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_4 | sum_heuristic |
[
18,
51,
24,
65
] | 74 | [
"51-18=33",
"65-24=41",
"33+41=74"
] | Current State: 74:[18, 51, 24, 65], Operations: []
Exploring Operation: 51-18=33, Resulting Numbers: [24, 65, 33]
Generated Node #2: [24, 65, 33] from Operation: 51-18=33
Current State: 74:[24, 65, 33], Operations: ['51-18=33']
Exploring Operation: 65-24=41, Resulting Numbers: [33, 41]
Generated Node #3: [33, 41] from Operation: 65-24=41
Current State: 74:[33, 41], Operations: ['51-18=33', '65-24=41']
Exploring Operation: 33+41=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[18, 51, 24, 65], Operations: []
Exploring Operation: 24-18=6, Resulting Numbers: [51, 65, 6]
Generated Node #0,0: 74:[51, 65, 6] Operation: 24-18=6
Exploring Operation: 51-18=33, Resulting Numbers: [24, 65, 33]
Generated Node #0,1: 74:[24, 65, 33] Operation: 51-18=33
Exploring Operation: 18+51=69, Resulting Numbers: [24, 65, 69]
Generated Node #0,2: 74:[24, 65, 69] Operation: 18+51=69
Exploring Operation: 51+24=75, Resulting Numbers: [18, 65, 75]
Generated Node #0,3: 74:[18, 65, 75] Operation: 51+24=75
Moving to Node #0,1
Current State: 74:[24, 65, 33], Operations: ['51-18=33']
Exploring Operation: 65-24=41, Resulting Numbers: [33, 41]
Generated Node #0,1,0: 74:[33, 41] Operation: 65-24=41
Exploring Operation: 33-24=9, Resulting Numbers: [65, 9]
Generated Node #0,1,1: 74:[65, 9] Operation: 33-24=9
Exploring Operation: 65-33=32, Resulting Numbers: [24, 32]
Generated Node #0,1,2: 74:[24, 32] Operation: 65-33=32
Exploring Operation: 24+65=89, Resulting Numbers: [33, 89]
Generated Node #0,1,3: 74:[33, 89] Operation: 24+65=89
Moving to Node #0,3
Current State: 74:[18, 65, 75], Operations: ['51+24=75']
Exploring Operation: 75-65=10, Resulting Numbers: [18, 10]
Generated Node #0,3,0: 74:[18, 10] Operation: 75-65=10
Exploring Operation: 75-18=57, Resulting Numbers: [65, 57]
Generated Node #0,3,1: 74:[65, 57] Operation: 75-18=57
Exploring Operation: 18+65=83, Resulting Numbers: [75, 83]
Generated Node #0,3,2: 74:[75, 83] Operation: 18+65=83
Exploring Operation: 65-18=47, Resulting Numbers: [75, 47]
Generated Node #0,3,3: 74:[75, 47] Operation: 65-18=47
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 74:[75, 83], Operations: ['51+24=75', '18+65=83']
Exploring Operation: 83-75=8, Resulting Numbers: [8]
8,74 unequal: No Solution
Exploring Operation: 75*83=6225, Resulting Numbers: [6225]
6225,74 unequal: No Solution
Exploring Operation: 75+83=158, Resulting Numbers: [158]
158,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 74:[75, 47], Operations: ['51+24=75', '65-18=47']
Exploring Operation: 75+47=122, Resulting Numbers: [122]
122,74 unequal: No Solution
Exploring Operation: 75*47=3525, Resulting Numbers: [3525]
3525,74 unequal: No Solution
Exploring Operation: 75-47=28, Resulting Numbers: [28]
28,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 74:[18, 10], Operations: ['51+24=75', '75-65=10']
Exploring Operation: 18+10=28, Resulting Numbers: [28]
28,74 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,74 unequal: No Solution
Exploring Operation: 18*10=180, Resulting Numbers: [180]
180,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 74:[65, 57], Operations: ['51+24=75', '75-18=57']
Exploring Operation: 65+57=122, Resulting Numbers: [122]
122,74 unequal: No Solution
Exploring Operation: 65*57=3705, Resulting Numbers: [3705]
3705,74 unequal: No Solution
Exploring Operation: 65-57=8, Resulting Numbers: [8]
8,74 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: 74:[24, 65, 69], Operations: ['18+51=69']
Exploring Operation: 24+65=89, Resulting Numbers: [69, 89]
Generated Node #0,2,0: 74:[69, 89] Operation: 24+65=89
Exploring Operation: 69-24=45, Resulting Numbers: [65, 45]
Generated Node #0,2,1: 74:[65, 45] Operation: 69-24=45
Exploring Operation: 69-65=4, Resulting Numbers: [24, 4]
Generated Node #0,2,2: 74:[24, 4] Operation: 69-65=4
Exploring Operation: 65-24=41, Resulting Numbers: [69, 41]
Generated Node #0,2,3: 74:[69, 41] Operation: 65-24=41
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 74:[69, 41], Operations: ['18+51=69', '65-24=41']
Exploring Operation: 69*41=2829, Resulting Numbers: [2829]
2829,74 unequal: No Solution
Exploring Operation: 69+41=110, Resulting Numbers: [110]
110,74 unequal: No Solution
Exploring Operation: 69-41=28, Resulting Numbers: [28]
28,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 74:[24, 4], Operations: ['18+51=69', '69-65=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,74 unequal: No Solution
Exploring Operation: 24*4=96, Resulting Numbers: [96]
96,74 unequal: No Solution
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,74 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 74:[65, 45], Operations: ['18+51=69', '69-24=45']
Exploring Operation: 65*45=2925, Resulting Numbers: [2925]
2925,74 unequal: No Solution
Exploring Operation: 65+45=110, Resulting Numbers: [110]
110,74 unequal: No Solution
Exploring Operation: 65-45=20, Resulting Numbers: [20]
20,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 74:[69, 89], Operations: ['18+51=69', '24+65=89']
Exploring Operation: 69+89=158, Resulting Numbers: [158]
158,74 unequal: No Solution
Exploring Operation: 69*89=6141, Resulting Numbers: [6141]
6141,74 unequal: No Solution
Exploring Operation: 89-69=20, Resulting Numbers: [20]
20,74 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: 74:[51, 65, 6], Operations: ['24-18=6']
Exploring Operation: 51+6=57, Resulting Numbers: [65, 57]
Generated Node #0,0,0: 74:[65, 57] Operation: 51+6=57
Exploring Operation: 51-6=45, Resulting Numbers: [65, 45]
Generated Node #0,0,1: 74:[65, 45] Operation: 51-6=45
Exploring Operation: 65+6=71, Resulting Numbers: [51, 71]
Generated Node #0,0,2: 74:[51, 71] Operation: 65+6=71
Exploring Operation: 65-51=14, Resulting Numbers: [6, 14]
Generated Node #0,0,3: 74:[6, 14] Operation: 65-51=14
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 74:[6, 14], Operations: ['24-18=6', '65-51=14']
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,74 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,74 unequal: No Solution
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 74:[65, 45], Operations: ['24-18=6', '51-6=45']
Exploring Operation: 65+45=110, Resulting Numbers: [110]
110,74 unequal: No Solution
Exploring Operation: 65-45=20, Resulting Numbers: [20]
20,74 unequal: No Solution
Exploring Operation: 65*45=2925, Resulting Numbers: [2925]
2925,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 74:[51, 71], Operations: ['24-18=6', '65+6=71']
Exploring Operation: 71-51=20, Resulting Numbers: [20]
20,74 unequal: No Solution
Exploring Operation: 51+71=122, Resulting Numbers: [122]
122,74 unequal: No Solution
Exploring Operation: 51*71=3621, Resulting Numbers: [3621]
3621,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[65, 57], Operations: ['24-18=6', '51+6=57']
Exploring Operation: 65+57=122, Resulting Numbers: [122]
122,74 unequal: No Solution
Exploring Operation: 65*57=3705, Resulting Numbers: [3705]
3705,74 unequal: No Solution
Exploring Operation: 65-57=8, Resulting Numbers: [8]
8,74 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: 74:[33, 41], Operations: ['51-18=33', '65-24=41']
Exploring Operation: 41-33=8, Resulting Numbers: [8]
8,74 unequal: No Solution
Exploring Operation: 33+41=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[18, 51, 24, 65], Operations: []
Exploring Operation: 51-18=33, Resulting Numbers: [24, 65, 33]
Generated Node #0,1: 74:[24, 65, 33] Operation: 51-18=33
Moving to Node #0,1
Current State: 74:[24, 65, 33], Operations: ['51-18=33']
Exploring Operation: 65-24=41, Resulting Numbers: [33, 41]
Generated Node #0,1,0: 74:[33, 41] Operation: 65-24=41
Moving to Node #0,1,0
Current State: 74:[33, 41], Operations: ['51-18=33', '65-24=41']
Exploring Operation: 33+41=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 0.945313 | hs_4 | mult_heuristic |
[
60,
17,
79,
54
] | 90 | [
"60-17=43",
"79+54=133",
"133-43=90"
] | Current State: 90:[60, 17, 79, 54], Operations: []
Exploring Operation: 60-17=43, Resulting Numbers: [79, 54, 43]
Generated Node #2: [79, 54, 43] from Operation: 60-17=43
Current State: 90:[79, 54, 43], Operations: ['60-17=43']
Exploring Operation: 79+54=133, Resulting Numbers: [43, 133]
Generated Node #3: [43, 133] from Operation: 79+54=133
Current State: 90:[43, 133], Operations: ['60-17=43', '79+54=133']
Exploring Operation: 133-43=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[60, 17, 79, 54], Operations: []
Exploring Operation: 79-60=19, Resulting Numbers: [17, 54, 19]
Generated Node #0,0: 90:[17, 54, 19] Operation: 79-60=19
Exploring Operation: 17+79=96, Resulting Numbers: [60, 54, 96]
Generated Node #0,1: 90:[60, 54, 96] Operation: 17+79=96
Exploring Operation: 60-54=6, Resulting Numbers: [17, 79, 6]
Generated Node #0,2: 90:[17, 79, 6] Operation: 60-54=6
Exploring Operation: 60-17=43, Resulting Numbers: [79, 54, 43]
Generated Node #0,3: 90:[79, 54, 43] Operation: 60-17=43
Exploring Operation: 79-54=25, Resulting Numbers: [60, 17, 25]
Generated Node #0,4: 90:[60, 17, 25] Operation: 79-54=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[17, 54, 19], Operations: ['79-60=19']
Exploring Operation: 54-17=37, Resulting Numbers: [19, 37]
Generated Node #0,0,0: 90:[19, 37] Operation: 54-17=37
Exploring Operation: 17+19=36, Resulting Numbers: [54, 36]
Generated Node #0,0,1: 90:[54, 36] Operation: 17+19=36
Exploring Operation: 54-19=35, Resulting Numbers: [17, 35]
Generated Node #0,0,2: 90:[17, 35] Operation: 54-19=35
Exploring Operation: 19-17=2, Resulting Numbers: [54, 2]
Generated Node #0,0,3: 90:[54, 2] Operation: 19-17=2
Exploring Operation: 54+19=73, Resulting Numbers: [17, 73]
Generated Node #0,0,4: 90:[17, 73] Operation: 54+19=73
Moving to Node #0,0,2
Current State: 90:[17, 35], Operations: ['79-60=19', '54-19=35']
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,90 unequal: No Solution
Exploring Operation: 17+35=52, Resulting Numbers: [52]
52,90 unequal: No Solution
Exploring Operation: 17*35=595, Resulting Numbers: [595]
595,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[19, 37], Operations: ['79-60=19', '54-17=37']
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,90 unequal: No Solution
Exploring Operation: 19+37=56, Resulting Numbers: [56]
56,90 unequal: No Solution
Exploring Operation: 19*37=703, Resulting Numbers: [703]
703,90 unequal: No Solution
Moving to Node #0,0,3
Current State: 90:[54, 2], Operations: ['79-60=19', '19-17=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,90 unequal: No Solution
Exploring Operation: 54*2=108, Resulting Numbers: [108]
108,90 unequal: No Solution
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,90 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[54, 36], Operations: ['79-60=19', '17+19=36']
Exploring Operation: 54-36=18, Resulting Numbers: [18]
18,90 unequal: No Solution
Exploring Operation: 54+36=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[60, 17, 79, 54], Operations: []
Exploring Operation: 79-60=19, Resulting Numbers: [17, 54, 19]
Generated Node #0,0: 90:[17, 54, 19] Operation: 79-60=19
Moving to Node #0,0
Current State: 90:[17, 54, 19], Operations: ['79-60=19']
Exploring Operation: 17+19=36, Resulting Numbers: [54, 36]
Generated Node #0,0,1: 90:[54, 36] Operation: 17+19=36
Moving to Node #0,0,1
Current State: 90:[54, 36], Operations: ['79-60=19', '17+19=36']
Exploring Operation: 54+36=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | mult_heuristic |
[
82,
39,
67,
31
] | 55 | [
"82-39=43",
"67+31=98",
"98-43=55"
] | Current State: 55:[82, 39, 67, 31], Operations: []
Exploring Operation: 82-39=43, Resulting Numbers: [67, 31, 43]
Generated Node #2: [67, 31, 43] from Operation: 82-39=43
Current State: 55:[67, 31, 43], Operations: ['82-39=43']
Exploring Operation: 67+31=98, Resulting Numbers: [43, 98]
Generated Node #3: [43, 98] from Operation: 67+31=98
Current State: 55:[43, 98], Operations: ['82-39=43', '67+31=98']
Exploring Operation: 98-43=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[82, 39, 67, 31], Operations: []
Exploring Operation: 82-39=43, Resulting Numbers: [67, 31, 43]
Generated Node #0,0: 55:[67, 31, 43] Operation: 82-39=43
Exploring Operation: 82-67=15, Resulting Numbers: [39, 31, 15]
Generated Node #0,1: 55:[39, 31, 15] Operation: 82-67=15
Exploring Operation: 39-31=8, Resulting Numbers: [82, 67, 8]
Generated Node #0,2: 55:[82, 67, 8] Operation: 39-31=8
Exploring Operation: 82-31=51, Resulting Numbers: [39, 67, 51]
Generated Node #0,3: 55:[39, 67, 51] Operation: 82-31=51
Exploring Operation: 39+31=70, Resulting Numbers: [82, 67, 70]
Generated Node #0,4: 55:[82, 67, 70] Operation: 39+31=70
Start Sub Search at level 1: Moving to Node #0,3
Current State: 55:[39, 67, 51], Operations: ['82-31=51']
Exploring Operation: 67-51=16, Resulting Numbers: [39, 16]
Generated Node #0,3,0: 55:[39, 16] Operation: 67-51=16
Exploring Operation: 51-39=12, Resulting Numbers: [67, 12]
Generated Node #0,3,1: 55:[67, 12] Operation: 51-39=12
Exploring Operation: 39+67=106, Resulting Numbers: [51, 106]
Generated Node #0,3,2: 55:[51, 106] Operation: 39+67=106
Exploring Operation: 67-39=28, Resulting Numbers: [51, 28]
Generated Node #0,3,3: 55:[51, 28] Operation: 67-39=28
Exploring Operation: 39+51=90, Resulting Numbers: [67, 90]
Generated Node #0,3,4: 55:[67, 90] Operation: 39+51=90
Moving to Node #0,3,1
Current State: 55:[67, 12], Operations: ['82-31=51', '51-39=12']
Exploring Operation: 67*12=804, Resulting Numbers: [804]
804,55 unequal: No Solution
Exploring Operation: 67-12=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[82, 39, 67, 31], Operations: []
Exploring Operation: 82-31=51, Resulting Numbers: [39, 67, 51]
Generated Node #0,3: 55:[39, 67, 51] Operation: 82-31=51
Moving to Node #0,3
Current State: 55:[39, 67, 51], Operations: ['82-31=51']
Exploring Operation: 51-39=12, Resulting Numbers: [67, 12]
Generated Node #0,3,1: 55:[67, 12] Operation: 51-39=12
Moving to Node #0,3,1
Current State: 55:[67, 12], Operations: ['82-31=51', '51-39=12']
Exploring Operation: 67-12=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
54,
67,
2,
53
] | 64 | [
"67-54=13",
"53-2=51",
"13+51=64"
] | Current State: 64:[54, 67, 2, 53], Operations: []
Exploring Operation: 67-54=13, Resulting Numbers: [2, 53, 13]
Generated Node #2: [2, 53, 13] from Operation: 67-54=13
Current State: 64:[2, 53, 13], Operations: ['67-54=13']
Exploring Operation: 53-2=51, Resulting Numbers: [13, 51]
Generated Node #3: [13, 51] from Operation: 53-2=51
Current State: 64:[13, 51], Operations: ['67-54=13', '53-2=51']
Exploring Operation: 13+51=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[54, 67, 2, 53], Operations: []
Exploring Operation: 54+2=56, Resulting Numbers: [67, 53, 56]
Generated Node #0,0: 64:[67, 53, 56] Operation: 54+2=56
Exploring Operation: 54-53=1, Resulting Numbers: [67, 2, 1]
Generated Node #0,1: 64:[67, 2, 1] Operation: 54-53=1
Exploring Operation: 54/2=27, Resulting Numbers: [67, 53, 27]
Generated Node #0,2: 64:[67, 53, 27] Operation: 54/2=27
Exploring Operation: 67-53=14, Resulting Numbers: [54, 2, 14]
Generated Node #0,3: 64:[54, 2, 14] Operation: 67-53=14
Exploring Operation: 67-54=13, Resulting Numbers: [2, 53, 13]
Generated Node #0,4: 64:[2, 53, 13] Operation: 67-54=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[67, 2, 1], Operations: ['54-53=1']
Exploring Operation: 67*1=67, Resulting Numbers: [2, 67]
Generated Node #0,1,0: 64:[2, 67] Operation: 67*1=67
Exploring Operation: 2*1=2, Resulting Numbers: [67, 2]
Generated Node #0,1,1: 64:[67, 2] Operation: 2*1=2
Exploring Operation: 67-1=66, Resulting Numbers: [2, 66]
Generated Node #0,1,2: 64:[2, 66] Operation: 67-1=66
Exploring Operation: 67-2=65, Resulting Numbers: [1, 65]
Generated Node #0,1,3: 64:[1, 65] Operation: 67-2=65
Exploring Operation: 67/1=67, Resulting Numbers: [2, 67]
Generated Node #0,1,4: 64:[2, 67] Operation: 67/1=67
Moving to Node #0,1,2
Current State: 64:[2, 66], Operations: ['54-53=1', '67-1=66']
Exploring Operation: 2*66=132, Resulting Numbers: [132]
132,64 unequal: No Solution
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,64 unequal: No Solution
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[54, 67, 2, 53], Operations: []
Exploring Operation: 54-53=1, Resulting Numbers: [67, 2, 1]
Generated Node #0,1: 64:[67, 2, 1] Operation: 54-53=1
Moving to Node #0,1
Current State: 64:[67, 2, 1], Operations: ['54-53=1']
Exploring Operation: 67-1=66, Resulting Numbers: [2, 66]
Generated Node #0,1,2: 64:[2, 66] Operation: 67-1=66
Moving to Node #0,1,2
Current State: 64:[2, 66], Operations: ['54-53=1', '67-1=66']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
6,
94,
39,
39
] | 88 | [
"94-6=88",
"39-39=0",
"88+0=88"
] | Current State: 88:[6, 94, 39, 39], Operations: []
Exploring Operation: 94-6=88, Resulting Numbers: [39, 39, 88]
Generated Node #2: [39, 39, 88] from Operation: 94-6=88
Current State: 88:[39, 39, 88], Operations: ['94-6=88']
Exploring Operation: 39-39=0, Resulting Numbers: [88, 0]
Generated Node #3: [88, 0] from Operation: 39-39=0
Current State: 88:[88, 0], Operations: ['94-6=88', '39-39=0']
Exploring Operation: 88+0=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[6, 94, 39, 39], Operations: []
Exploring Operation: 94-6=88, Resulting Numbers: [39, 39, 88]
Generated Node #0,0: 88:[39, 39, 88] Operation: 94-6=88
Exploring Operation: 39-39=0, Resulting Numbers: [6, 94, 0]
Generated Node #0,1: 88:[6, 94, 0] Operation: 39-39=0
Exploring Operation: 39/39=1, Resulting Numbers: [6, 94, 1]
Generated Node #0,2: 88:[6, 94, 1] Operation: 39/39=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 88:[6, 94, 1], Operations: ['39/39=1']
Exploring Operation: 6+1=7, Resulting Numbers: [94, 7]
Generated Node #0,2,0: 88:[94, 7] Operation: 6+1=7
Exploring Operation: 6-1=5, Resulting Numbers: [94, 5]
Generated Node #0,2,1: 88:[94, 5] Operation: 6-1=5
Exploring Operation: 94-6=88, Resulting Numbers: [1, 88]
Generated Node #0,2,2: 88:[1, 88] Operation: 94-6=88
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 88:[1, 88], Operations: ['39/39=1', '94-6=88']
Exploring Operation: 88/1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[6, 94, 39, 39], Operations: []
Exploring Operation: 39/39=1, Resulting Numbers: [6, 94, 1]
Generated Node #0,2: 88:[6, 94, 1] Operation: 39/39=1
Moving to Node #0,2
Current State: 88:[6, 94, 1], Operations: ['39/39=1']
Exploring Operation: 94-6=88, Resulting Numbers: [1, 88]
Generated Node #0,2,2: 88:[1, 88] Operation: 94-6=88
Moving to Node #0,2,2
Current State: 88:[1, 88], Operations: ['39/39=1', '94-6=88']
Exploring Operation: 88/1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
77,
67,
16,
33
] | 95 | [
"77+67=144",
"16+33=49",
"144-49=95"
] | Current State: 95:[77, 67, 16, 33], Operations: []
Exploring Operation: 77+67=144, Resulting Numbers: [16, 33, 144]
Generated Node #2: [16, 33, 144] from Operation: 77+67=144
Current State: 95:[16, 33, 144], Operations: ['77+67=144']
Exploring Operation: 16+33=49, Resulting Numbers: [144, 49]
Generated Node #3: [144, 49] from Operation: 16+33=49
Current State: 95:[144, 49], Operations: ['77+67=144', '16+33=49']
Exploring Operation: 144-49=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[77, 67, 16, 33], Operations: []
Exploring Operation: 77-67=10, Resulting Numbers: [16, 33, 10]
Generated Node #0,0: 95:[16, 33, 10] Operation: 77-67=10
Exploring Operation: 67+33=100, Resulting Numbers: [77, 16, 100]
Generated Node #0,1: 95:[77, 16, 100] Operation: 67+33=100
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[16, 33, 10], Operations: ['77-67=10']
Exploring Operation: 33-16=17, Resulting Numbers: [10, 17]
Generated Node #0,0,0: 95:[10, 17] Operation: 33-16=17
Exploring Operation: 33-10=23, Resulting Numbers: [16, 23]
Generated Node #0,0,1: 95:[16, 23] Operation: 33-10=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[10, 17], Operations: ['77-67=10', '33-16=17']
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,95 unequal: No Solution
Exploring Operation: 10+17=27, Resulting Numbers: [27]
27,95 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:[16, 23], Operations: ['77-67=10', '33-10=23']
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,95 unequal: No Solution
Exploring Operation: 16+23=39, Resulting Numbers: [39]
39,95 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:[77, 16, 100], Operations: ['67+33=100']
Exploring Operation: 77+16=93, Resulting Numbers: [100, 93]
Generated Node #0,1,0: 95:[100, 93] Operation: 77+16=93
Exploring Operation: 100-77=23, Resulting Numbers: [16, 23]
Generated Node #0,1,1: 95:[16, 23] Operation: 100-77=23
Moving to Node #0,1,0
Current State: 95:[100, 93], Operations: ['67+33=100', '77+16=93']
Exploring Operation: 100+93=193, Resulting Numbers: [193]
193,95 unequal: No Solution
Exploring Operation: 100-93=7, Resulting Numbers: [7]
7,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[16, 23], Operations: ['67+33=100', '100-77=23']
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,95 unequal: No Solution
Exploring Operation: 16+23=39, Resulting Numbers: [39]
39,95 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 |
[
19,
28,
30,
54
] | 24 | [
"28-19=9",
"54/9=6",
"30-6=24"
] | Current State: 24:[19, 28, 30, 54], Operations: []
Exploring Operation: 28-19=9, Resulting Numbers: [30, 54, 9]
Generated Node #2: [30, 54, 9] from Operation: 28-19=9
Current State: 24:[30, 54, 9], Operations: ['28-19=9']
Exploring Operation: 54/9=6, Resulting Numbers: [30, 6]
Generated Node #3: [30, 6] from Operation: 54/9=6
Current State: 24:[30, 6], Operations: ['28-19=9', '54/9=6']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[19, 28, 30, 54], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [19, 54, 2]
Generated Node #0,0: 24:[19, 54, 2] Operation: 30-28=2
Exploring Operation: 54-28=26, Resulting Numbers: [19, 30, 26]
Generated Node #0,1: 24:[19, 30, 26] Operation: 54-28=26
Exploring Operation: 30-19=11, Resulting Numbers: [28, 54, 11]
Generated Node #0,2: 24:[28, 54, 11] Operation: 30-19=11
Exploring Operation: 54-30=24, Resulting Numbers: [19, 28, 24]
Generated Node #0,3: 24:[19, 28, 24] Operation: 54-30=24
Exploring Operation: 54-19=35, Resulting Numbers: [28, 30, 35]
Generated Node #0,4: 24:[28, 30, 35] Operation: 54-19=35
Moving to Node #0,3
Current State: 24:[19, 28, 24], Operations: ['54-30=24']
Exploring Operation: 28-24=4, Resulting Numbers: [19, 4]
Generated Node #0,3,0: 24:[19, 4] Operation: 28-24=4
Exploring Operation: 19+24=43, Resulting Numbers: [28, 43]
Generated Node #0,3,1: 24:[28, 43] Operation: 19+24=43
Exploring Operation: 28-19=9, Resulting Numbers: [24, 9]
Generated Node #0,3,2: 24:[24, 9] Operation: 28-19=9
Exploring Operation: 19+28=47, Resulting Numbers: [24, 47]
Generated Node #0,3,3: 24:[24, 47] Operation: 19+28=47
Exploring Operation: 24-19=5, Resulting Numbers: [28, 5]
Generated Node #0,3,4: 24:[28, 5] Operation: 24-19=5
Moving to Node #0,1
Current State: 24:[19, 30, 26], Operations: ['54-28=26']
Exploring Operation: 26-19=7, Resulting Numbers: [30, 7]
Generated Node #0,1,0: 24:[30, 7] Operation: 26-19=7
Exploring Operation: 30-26=4, Resulting Numbers: [19, 4]
Generated Node #0,1,1: 24:[19, 4] Operation: 30-26=4
Exploring Operation: 19+26=45, Resulting Numbers: [30, 45]
Generated Node #0,1,2: 24:[30, 45] Operation: 19+26=45
Exploring Operation: 30-19=11, Resulting Numbers: [26, 11]
Generated Node #0,1,3: 24:[26, 11] Operation: 30-19=11
Exploring Operation: 19+30=49, Resulting Numbers: [26, 49]
Generated Node #0,1,4: 24:[26, 49] Operation: 19+30=49
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 24:[26, 11], Operations: ['54-28=26', '30-19=11']
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 26*11=286, Resulting Numbers: [286]
286,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 24:[19, 4], Operations: ['54-28=26', '30-26=4']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,24 unequal: No Solution
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 24:[30, 7], Operations: ['54-28=26', '26-19=7']
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,24 unequal: No Solution
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 30*7=210, Resulting Numbers: [210]
210,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 24:[30, 45], Operations: ['54-28=26', '19+26=45']
Exploring Operation: 30*45=1350, Resulting Numbers: [1350]
1350,24 unequal: No Solution
Exploring Operation: 30+45=75, Resulting Numbers: [75]
75,24 unequal: No Solution
Exploring Operation: 45-30=15, Resulting Numbers: [15]
15,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 24:[26, 49], Operations: ['54-28=26', '19+30=49']
Exploring Operation: 26+49=75, Resulting Numbers: [75]
75,24 unequal: No Solution
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,24 unequal: No Solution
Exploring Operation: 26*49=1274, Resulting Numbers: [1274]
1274,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 24:[28, 30, 35], Operations: ['54-19=35']
Exploring Operation: 35-28=7, Resulting Numbers: [30, 7]
Generated Node #0,4,0: 24:[30, 7] Operation: 35-28=7
Exploring Operation: 30-28=2, Resulting Numbers: [35, 2]
Generated Node #0,4,1: 24:[35, 2] Operation: 30-28=2
Exploring Operation: 28+30=58, Resulting Numbers: [35, 58]
Generated Node #0,4,2: 24:[35, 58] Operation: 28+30=58
Exploring Operation: 28+35=63, Resulting Numbers: [30, 63]
Generated Node #0,4,3: 24:[30, 63] Operation: 28+35=63
Exploring Operation: 35-30=5, Resulting Numbers: [28, 5]
Generated Node #0,4,4: 24:[28, 5] Operation: 35-30=5
Moving to Node #0,0
Current State: 24:[19, 54, 2], Operations: ['30-28=2']
Exploring Operation: 19+2=21, Resulting Numbers: [54, 21]
Generated Node #0,0,0: 24:[54, 21] Operation: 19+2=21
Exploring Operation: 54/2=27, Resulting Numbers: [19, 27]
Generated Node #0,0,1: 24:[19, 27] Operation: 54/2=27
Exploring Operation: 54-19=35, Resulting Numbers: [2, 35]
Generated Node #0,0,2: 24:[2, 35] Operation: 54-19=35
Exploring Operation: 19-2=17, Resulting Numbers: [54, 17]
Generated Node #0,0,3: 24:[54, 17] Operation: 19-2=17
Exploring Operation: 54-2=52, Resulting Numbers: [19, 52]
Generated Node #0,0,4: 24:[19, 52] Operation: 54-2=52
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 24:[19, 27], Operations: ['30-28=2', '54/2=27']
Exploring Operation: 27-19=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Exploring Operation: 19+27=46, Resulting Numbers: [46]
46,24 unequal: No Solution
Exploring Operation: 19*27=513, Resulting Numbers: [513]
513,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 24:[2, 35], Operations: ['30-28=2', '54-19=35']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,24 unequal: No Solution
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[54, 21], Operations: ['30-28=2', '19+2=21']
Exploring Operation: 54*21=1134, Resulting Numbers: [1134]
1134,24 unequal: No Solution
Exploring Operation: 54+21=75, Resulting Numbers: [75]
75,24 unequal: No Solution
Exploring Operation: 54-21=33, Resulting Numbers: [33]
33,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 24:[19, 52], Operations: ['30-28=2', '54-2=52']
Exploring Operation: 19+52=71, Resulting Numbers: [71]
71,24 unequal: No Solution
Exploring Operation: 52-19=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 19*52=988, Resulting Numbers: [988]
988,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 24:[54, 17], Operations: ['30-28=2', '19-2=17']
Exploring Operation: 54+17=71, Resulting Numbers: [71]
71,24 unequal: No Solution
Exploring Operation: 54*17=918, Resulting Numbers: [918]
918,24 unequal: No Solution
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 24:[28, 54, 11], Operations: ['30-19=11']
Exploring Operation: 28+11=39, Resulting Numbers: [54, 39]
Generated Node #0,2,0: 24:[54, 39] Operation: 28+11=39
Exploring Operation: 54-11=43, Resulting Numbers: [28, 43]
Generated Node #0,2,1: 24:[28, 43] Operation: 54-11=43
Exploring Operation: 28-11=17, Resulting Numbers: [54, 17]
Generated Node #0,2,2: 24:[54, 17] Operation: 28-11=17
Exploring Operation: 54-28=26, Resulting Numbers: [11, 26]
Generated Node #0,2,3: 24:[11, 26] Operation: 54-28=26
Exploring Operation: 54+11=65, Resulting Numbers: [28, 65]
Generated Node #0,2,4: 24:[28, 65] Operation: 54+11=65
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 24:[11, 26], Operations: ['30-19=11', '54-28=26']
Exploring Operation: 11+26=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 11*26=286, Resulting Numbers: [286]
286,24 unequal: No Solution
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 24:[28, 43], Operations: ['30-19=11', '54-11=43']
Exploring Operation: 28+43=71, Resulting Numbers: [71]
71,24 unequal: No Solution
Exploring Operation: 43-28=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 28*43=1204, Resulting Numbers: [1204]
1204,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 24:[54, 17], Operations: ['30-19=11', '28-11=17']
Exploring Operation: 54+17=71, Resulting Numbers: [71]
71,24 unequal: No Solution
Exploring Operation: 54*17=918, Resulting Numbers: [918]
918,24 unequal: No Solution
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 24:[54, 39], Operations: ['30-19=11', '28+11=39']
Exploring Operation: 54*39=2106, Resulting Numbers: [2106]
2106,24 unequal: No Solution
Exploring Operation: 54-39=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 54+39=93, Resulting Numbers: [93]
93,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 24:[28, 65], Operations: ['30-19=11', '54+11=65']
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 28+65=93, Resulting Numbers: [93]
93,24 unequal: No Solution
Exploring Operation: 28*65=1820, Resulting Numbers: [1820]
1820,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 24:[24, 9], Operations: ['54-30=24', '28-19=9']
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 24+9=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 24*9=216, Resulting Numbers: [216]
216,24 unequal: No Solution
Moving to Node #0,3,4
Current State: 24:[28, 5], Operations: ['54-30=24', '24-19=5']
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 28*5=140, Resulting Numbers: [140]
140,24 unequal: No Solution
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,24 unequal: No Solution
Moving to Node #0,4,4
Current State: 24:[28, 5], Operations: ['54-19=35', '35-30=5']
Exploring Operation: 28*5=140, Resulting Numbers: [140]
140,24 unequal: No Solution
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,24 unequal: No Solution
Moving to Node #0,3,0
Current State: 24:[19, 4], Operations: ['54-30=24', '28-24=4']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,24 unequal: No Solution
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,24 unequal: No Solution
Moving to Node #0,4,0
Current State: 24:[30, 7], Operations: ['54-19=35', '35-28=7']
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 30*7=210, Resulting Numbers: [210]
210,24 unequal: No Solution
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,24 unequal: No Solution
Moving to Node #0,4,1
Current State: 24:[35, 2], Operations: ['54-19=35', '30-28=2']
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,24 unequal: No Solution
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Moving to Node #0,3,3
Current State: 24:[24, 47], Operations: ['54-30=24', '19+28=47']
Exploring Operation: 24*47=1128, Resulting Numbers: [1128]
1128,24 unequal: No Solution
Exploring Operation: 24+47=71, Resulting Numbers: [71]
71,24 unequal: No Solution
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,24 unequal: No Solution
Moving to Node #0,3,1
Current State: 24:[28, 43], Operations: ['54-30=24', '19+24=43']
Exploring Operation: 28*43=1204, Resulting Numbers: [1204]
1204,24 unequal: No Solution
Exploring Operation: 28+43=71, Resulting Numbers: [71]
71,24 unequal: No Solution
Exploring Operation: 43-28=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Moving to Node #0,4,2
Current State: 24:[35, 58], Operations: ['54-19=35', '28+30=58']
Exploring Operation: 35*58=2030, Resulting Numbers: [2030]
2030,24 unequal: No Solution
Exploring Operation: 58-35=23, Resulting Numbers: [23]
23,24 unequal: No Solution
Exploring Operation: 35+58=93, Resulting Numbers: [93]
93,24 unequal: No Solution
Moving to Node #0,4,3
Current State: 24:[30, 63], Operations: ['54-19=35', '28+35=63']
Exploring Operation: 63-30=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 30+63=93, Resulting Numbers: [93]
93,24 unequal: No Solution
Exploring Operation: 30*63=1890, Resulting Numbers: [1890]
1890,24 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
13,
10,
89,
43
] | 86 | [
"43-13=30",
"30/10=3",
"89-3=86"
] | Current State: 86:[13, 10, 89, 43], Operations: []
Exploring Operation: 43-13=30, Resulting Numbers: [10, 89, 30]
Generated Node #2: [10, 89, 30] from Operation: 43-13=30
Current State: 86:[10, 89, 30], Operations: ['43-13=30']
Exploring Operation: 30/10=3, Resulting Numbers: [89, 3]
Generated Node #3: [89, 3] from Operation: 30/10=3
Current State: 86:[89, 3], Operations: ['43-13=30', '30/10=3']
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[13, 10, 89, 43], Operations: []
Exploring Operation: 89-10=79, Resulting Numbers: [13, 43, 79]
Generated Node #0,0: 86:[13, 43, 79] Operation: 89-10=79
Exploring Operation: 13-10=3, Resulting Numbers: [89, 43, 3]
Generated Node #0,1: 86:[89, 43, 3] Operation: 13-10=3
Exploring Operation: 89-13=76, Resulting Numbers: [10, 43, 76]
Generated Node #0,2: 86:[10, 43, 76] Operation: 89-13=76
Moving to Node #0,1
Current State: 86:[89, 43, 3], Operations: ['13-10=3']
Exploring Operation: 89+3=92, Resulting Numbers: [43, 92]
Generated Node #0,1,0: 86:[43, 92] Operation: 89+3=92
Exploring Operation: 89-3=86, Resulting Numbers: [43, 86]
Generated Node #0,1,1: 86:[43, 86] Operation: 89-3=86
Exploring Operation: 89-43=46, Resulting Numbers: [3, 46]
Generated Node #0,1,2: 86:[3, 46] Operation: 89-43=46
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[43, 86], Operations: ['13-10=3', '89-3=86']
Exploring Operation: 86-43=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 86/43=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 43+86=129, Resulting Numbers: [129]
129,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 86:[3, 46], Operations: ['13-10=3', '89-43=46']
Exploring Operation: 3+46=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 3*46=138, Resulting Numbers: [138]
138,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[43, 92], Operations: ['13-10=3', '89+3=92']
Exploring Operation: 43+92=135, Resulting Numbers: [135]
135,86 unequal: No Solution
Exploring Operation: 43*92=3956, Resulting Numbers: [3956]
3956,86 unequal: No Solution
Exploring Operation: 92-43=49, Resulting Numbers: [49]
49,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 86:[13, 43, 79], Operations: ['89-10=79']
Exploring Operation: 13+43=56, Resulting Numbers: [79, 56]
Generated Node #0,0,0: 86:[79, 56] Operation: 13+43=56
Exploring Operation: 13+79=92, Resulting Numbers: [43, 92]
Generated Node #0,0,1: 86:[43, 92] Operation: 13+79=92
Exploring Operation: 79-43=36, Resulting Numbers: [13, 36]
Generated Node #0,0,2: 86:[13, 36] Operation: 79-43=36
Moving to Node #0,2
Current State: 86:[10, 43, 76], Operations: ['89-13=76']
Exploring Operation: 76-43=33, Resulting Numbers: [10, 33]
Generated Node #0,2,0: 86:[10, 33] Operation: 76-43=33
Exploring Operation: 10+43=53, Resulting Numbers: [76, 53]
Generated Node #0,2,1: 86:[76, 53] Operation: 10+43=53
Exploring Operation: 10+76=86, Resulting Numbers: [43, 86]
Generated Node #0,2,2: 86:[43, 86] Operation: 10+76=86
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 86:[43, 86], Operations: ['89-13=76', '10+76=86']
Exploring Operation: 43+86=129, Resulting Numbers: [129]
129,86 unequal: No Solution
Exploring Operation: 86-43=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 86/43=2, Resulting Numbers: [2]
2,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 86:[10, 33], Operations: ['89-13=76', '76-43=33']
Exploring Operation: 10+33=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,86 unequal: No Solution
Exploring Operation: 10*33=330, Resulting Numbers: [330]
330,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 86:[76, 53], Operations: ['89-13=76', '10+43=53']
Exploring Operation: 76+53=129, Resulting Numbers: [129]
129,86 unequal: No Solution
Exploring Operation: 76-53=23, Resulting Numbers: [23]
23,86 unequal: No Solution
Exploring Operation: 76*53=4028, Resulting Numbers: [4028]
4028,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 86:[43, 92], Operations: ['89-10=79', '13+79=92']
Exploring Operation: 43+92=135, Resulting Numbers: [135]
135,86 unequal: No Solution
Exploring Operation: 43*92=3956, Resulting Numbers: [3956]
3956,86 unequal: No Solution
Exploring Operation: 92-43=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[13, 36], Operations: ['89-10=79', '79-43=36']
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,86 unequal: No Solution
Exploring Operation: 13*36=468, Resulting Numbers: [468]
468,86 unequal: No Solution
Exploring Operation: 13+36=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[79, 56], Operations: ['89-10=79', '13+43=56']
Exploring Operation: 79+56=135, Resulting Numbers: [135]
135,86 unequal: No Solution
Exploring Operation: 79*56=4424, Resulting Numbers: [4424]
4424,86 unequal: No Solution
Exploring Operation: 79-56=23, Resulting Numbers: [23]
23,86 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
62,
31,
25,
58
] | 52 | [
"62-31=31",
"25+58=83",
"83-31=52"
] | Current State: 52:[62, 31, 25, 58], Operations: []
Exploring Operation: 62-31=31, Resulting Numbers: [25, 58, 31]
Generated Node #2: [25, 58, 31] from Operation: 62-31=31
Current State: 52:[25, 58, 31], Operations: ['62-31=31']
Exploring Operation: 25+58=83, Resulting Numbers: [31, 83]
Generated Node #3: [31, 83] from Operation: 25+58=83
Current State: 52:[31, 83], Operations: ['62-31=31', '25+58=83']
Exploring Operation: 83-31=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[62, 31, 25, 58], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [25, 58, 2]
Generated Node #0,0: 52:[25, 58, 2] Operation: 62/31=2
Exploring Operation: 62-31=31, Resulting Numbers: [25, 58, 31]
Generated Node #0,1: 52:[25, 58, 31] Operation: 62-31=31
Exploring Operation: 62-58=4, Resulting Numbers: [31, 25, 4]
Generated Node #0,2: 52:[31, 25, 4] Operation: 62-58=4
Moving to Node #0,2
Current State: 52:[31, 25, 4], Operations: ['62-58=4']
Exploring Operation: 31-25=6, Resulting Numbers: [4, 6]
Generated Node #0,2,0: 52:[4, 6] Operation: 31-25=6
Exploring Operation: 31+25=56, Resulting Numbers: [4, 56]
Generated Node #0,2,1: 52:[4, 56] Operation: 31+25=56
Exploring Operation: 31-4=27, Resulting Numbers: [25, 27]
Generated Node #0,2,2: 52:[25, 27] Operation: 31-4=27
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 52:[4, 6], Operations: ['62-58=4', '31-25=6']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 52:[25, 27], Operations: ['62-58=4', '31-4=27']
Exploring Operation: 25*27=675, Resulting Numbers: [675]
675,52 unequal: No Solution
Exploring Operation: 25+27=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[62, 31, 25, 58], Operations: []
Exploring Operation: 62-58=4, Resulting Numbers: [31, 25, 4]
Generated Node #0,2: 52:[31, 25, 4] Operation: 62-58=4
Moving to Node #0,2
Current State: 52:[31, 25, 4], Operations: ['62-58=4']
Exploring Operation: 31-4=27, Resulting Numbers: [25, 27]
Generated Node #0,2,2: 52:[25, 27] Operation: 31-4=27
Moving to Node #0,2,2
Current State: 52:[25, 27], Operations: ['62-58=4', '31-4=27']
Exploring Operation: 25+27=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
5,
31,
67,
22
] | 63 | [
"31-5=26",
"67+22=89",
"89-26=63"
] | Current State: 63:[5, 31, 67, 22], Operations: []
Exploring Operation: 31-5=26, Resulting Numbers: [67, 22, 26]
Generated Node #2: [67, 22, 26] from Operation: 31-5=26
Current State: 63:[67, 22, 26], Operations: ['31-5=26']
Exploring Operation: 67+22=89, Resulting Numbers: [26, 89]
Generated Node #3: [26, 89] from Operation: 67+22=89
Current State: 63:[26, 89], Operations: ['31-5=26', '67+22=89']
Exploring Operation: 89-26=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[5, 31, 67, 22], Operations: []
Exploring Operation: 31-22=9, Resulting Numbers: [5, 67, 9]
Generated Node #0,0: 63:[5, 67, 9] Operation: 31-22=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[5, 67, 9], Operations: ['31-22=9']
Exploring Operation: 67-5=62, Resulting Numbers: [9, 62]
Generated Node #0,0,0: 63:[9, 62] Operation: 67-5=62
Moving to Node #0,0,0
Current State: 63:[9, 62], Operations: ['31-22=9', '67-5=62']
Exploring Operation: 9+62=71, Resulting Numbers: [71]
71,63 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 |
[
45,
30,
39,
38
] | 76 | [
"45+30=75",
"39-38=1",
"75+1=76"
] | Current State: 76:[45, 30, 39, 38], Operations: []
Exploring Operation: 45+30=75, Resulting Numbers: [39, 38, 75]
Generated Node #2: [39, 38, 75] from Operation: 45+30=75
Current State: 76:[39, 38, 75], Operations: ['45+30=75']
Exploring Operation: 39-38=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 39-38=1
Current State: 76:[75, 1], Operations: ['45+30=75', '39-38=1']
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[45, 30, 39, 38], Operations: []
Exploring Operation: 45-30=15, Resulting Numbers: [39, 38, 15]
Generated Node #0,0: 76:[39, 38, 15] Operation: 45-30=15
Exploring Operation: 45-39=6, Resulting Numbers: [30, 38, 6]
Generated Node #0,1: 76:[30, 38, 6] Operation: 45-39=6
Exploring Operation: 45+30=75, Resulting Numbers: [39, 38, 75]
Generated Node #0,2: 76:[39, 38, 75] Operation: 45+30=75
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[39, 38, 75], Operations: ['45+30=75']
Exploring Operation: 39-38=1, Resulting Numbers: [75, 1]
Generated Node #0,2,0: 76:[75, 1] Operation: 39-38=1
Exploring Operation: 39+38=77, Resulting Numbers: [75, 77]
Generated Node #0,2,1: 76:[75, 77] Operation: 39+38=77
Exploring Operation: 75-39=36, Resulting Numbers: [38, 36]
Generated Node #0,2,2: 76:[38, 36] Operation: 75-39=36
Moving to Node #0,2,0
Current State: 76:[75, 1], Operations: ['45+30=75', '39-38=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,76 unequal: No Solution
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[45, 30, 39, 38], Operations: []
Exploring Operation: 45+30=75, Resulting Numbers: [39, 38, 75]
Generated Node #0,2: 76:[39, 38, 75] Operation: 45+30=75
Moving to Node #0,2
Current State: 76:[39, 38, 75], Operations: ['45+30=75']
Exploring Operation: 39-38=1, Resulting Numbers: [75, 1]
Generated Node #0,2,0: 76:[75, 1] Operation: 39-38=1
Moving to Node #0,2,0
Current State: 76:[75, 1], Operations: ['45+30=75', '39-38=1']
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
73,
85,
41,
2
] | 55 | [
"85-73=12",
"41+2=43",
"12+43=55"
] | Current State: 55:[73, 85, 41, 2], Operations: []
Exploring Operation: 85-73=12, Resulting Numbers: [41, 2, 12]
Generated Node #2: [41, 2, 12] from Operation: 85-73=12
Current State: 55:[41, 2, 12], Operations: ['85-73=12']
Exploring Operation: 41+2=43, Resulting Numbers: [12, 43]
Generated Node #3: [12, 43] from Operation: 41+2=43
Current State: 55:[12, 43], Operations: ['85-73=12', '41+2=43']
Exploring Operation: 12+43=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[73, 85, 41, 2], Operations: []
Exploring Operation: 85-73=12, Resulting Numbers: [41, 2, 12]
Generated Node #0,0: 55:[41, 2, 12] Operation: 85-73=12
Exploring Operation: 85-41=44, Resulting Numbers: [73, 2, 44]
Generated Node #0,1: 55:[73, 2, 44] Operation: 85-41=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[41, 2, 12], Operations: ['85-73=12']
Exploring Operation: 41+12=53, Resulting Numbers: [2, 53]
Generated Node #0,0,0: 55:[2, 53] Operation: 41+12=53
Exploring Operation: 41+2=43, Resulting Numbers: [12, 43]
Generated Node #0,0,1: 55:[12, 43] Operation: 41+2=43
Moving to Node #0,0,0
Current State: 55:[2, 53], Operations: ['85-73=12', '41+12=53']
Exploring Operation: 2+53=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[73, 85, 41, 2], Operations: []
Exploring Operation: 85-73=12, Resulting Numbers: [41, 2, 12]
Generated Node #0,0: 55:[41, 2, 12] Operation: 85-73=12
Moving to Node #0,0
Current State: 55:[41, 2, 12], Operations: ['85-73=12']
Exploring Operation: 41+12=53, Resulting Numbers: [2, 53]
Generated Node #0,0,0: 55:[2, 53] Operation: 41+12=53
Moving to Node #0,0,0
Current State: 55:[2, 53], Operations: ['85-73=12', '41+12=53']
Exploring Operation: 2+53=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
18,
18,
66,
65
] | 66 | [
"18-18=0",
"65*0=0",
"66+0=66"
] | Current State: 66:[18, 18, 66, 65], Operations: []
Exploring Operation: 18-18=0, Resulting Numbers: [66, 65, 0]
Generated Node #2: [66, 65, 0] from Operation: 18-18=0
Current State: 66:[66, 65, 0], Operations: ['18-18=0']
Exploring Operation: 65*0=0, Resulting Numbers: [66, 0]
Generated Node #3: [66, 0] from Operation: 65*0=0
Current State: 66:[66, 0], Operations: ['18-18=0', '65*0=0']
Exploring Operation: 66+0=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[18, 18, 66, 65], Operations: []
Exploring Operation: 18/18=1, Resulting Numbers: [66, 65, 1]
Generated Node #0,0: 66:[66, 65, 1] Operation: 18/18=1
Moving to Node #0,0
Current State: 66:[66, 65, 1], Operations: ['18/18=1']
Exploring Operation: 65+1=66, Resulting Numbers: [66, 66]
Generated Node #0,0,0: 66:[66, 66] Operation: 65+1=66
Moving to Node #0,0,0
Current State: 66:[66, 66], Operations: ['18/18=1', '65+1=66']
Exploring Operation: 66/66=1, Resulting Numbers: [1]
1,66 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
29,
5,
35,
11
] | 27 | [
"29+11=40",
"40/5=8",
"35-8=27"
] | Current State: 27:[29, 5, 35, 11], Operations: []
Exploring Operation: 29+11=40, Resulting Numbers: [5, 35, 40]
Generated Node #2: [5, 35, 40] from Operation: 29+11=40
Current State: 27:[5, 35, 40], Operations: ['29+11=40']
Exploring Operation: 40/5=8, Resulting Numbers: [35, 8]
Generated Node #3: [35, 8] from Operation: 40/5=8
Current State: 27:[35, 8], Operations: ['29+11=40', '40/5=8']
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[29, 5, 35, 11], Operations: []
Exploring Operation: 35/5=7, Resulting Numbers: [29, 11, 7]
Generated Node #0,0: 27:[29, 11, 7] Operation: 35/5=7
Exploring Operation: 35-11=24, Resulting Numbers: [29, 5, 24]
Generated Node #0,1: 27:[29, 5, 24] Operation: 35-11=24
Exploring Operation: 35-5=30, Resulting Numbers: [29, 11, 30]
Generated Node #0,2: 27:[29, 11, 30] Operation: 35-5=30
Exploring Operation: 35-29=6, Resulting Numbers: [5, 11, 6]
Generated Node #0,3: 27:[5, 11, 6] Operation: 35-29=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[29, 11, 7], Operations: ['35/5=7']
Exploring Operation: 29-11=18, Resulting Numbers: [7, 18]
Generated Node #0,0,0: 27:[7, 18] Operation: 29-11=18
Exploring Operation: 11-7=4, Resulting Numbers: [29, 4]
Generated Node #0,0,1: 27:[29, 4] Operation: 11-7=4
Exploring Operation: 29+7=36, Resulting Numbers: [11, 36]
Generated Node #0,0,2: 27:[11, 36] Operation: 29+7=36
Exploring Operation: 29-7=22, Resulting Numbers: [11, 22]
Generated Node #0,0,3: 27:[11, 22] Operation: 29-7=22
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 27:[29, 4], Operations: ['35/5=7', '11-7=4']
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,27 unequal: No Solution
Exploring Operation: 29*4=116, Resulting Numbers: [116]
116,27 unequal: No Solution
No 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: 27:[11, 22], Operations: ['35/5=7', '29-7=22']
Exploring Operation: 11*22=242, Resulting Numbers: [242]
242,27 unequal: No Solution
Exploring Operation: 11+22=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,27 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,27 unequal: No Solution
No 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: 27:[7, 18], Operations: ['35/5=7', '29-11=18']
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,27 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,27 unequal: No Solution
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,27 unequal: No Solution
No 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: 27:[11, 36], Operations: ['35/5=7', '29+7=36']
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,27 unequal: No Solution
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,27 unequal: No Solution
Exploring Operation: 11*36=396, Resulting Numbers: [396]
396,27 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: 27:[29, 5, 24], Operations: ['35-11=24']
Exploring Operation: 29-24=5, Resulting Numbers: [5, 5]
Generated Node #0,1,0: 27:[5, 5] Operation: 29-24=5
Exploring Operation: 29+5=34, Resulting Numbers: [24, 34]
Generated Node #0,1,1: 27:[24, 34] Operation: 29+5=34
Exploring Operation: 29-5=24, Resulting Numbers: [24, 24]
Generated Node #0,1,2: 27:[24, 24] Operation: 29-5=24
Exploring Operation: 5+24=29, Resulting Numbers: [29, 29]
Generated Node #0,1,3: 27:[29, 29] Operation: 5+24=29
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 27:[5, 5], Operations: ['35-11=24', '29-24=5']
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,27 unequal: No Solution
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,27 unequal: No Solution
No 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: 27:[29, 29], Operations: ['35-11=24', '5+24=29']
Exploring Operation: 29-29=0, Resulting Numbers: [0]
0,27 unequal: No Solution
Exploring Operation: 29/29=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 29+29=58, Resulting Numbers: [58]
58,27 unequal: No Solution
Exploring Operation: 29*29=841, Resulting Numbers: [841]
841,27 unequal: No Solution
No 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: 27:[24, 24], Operations: ['35-11=24', '29-5=24']
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,27 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,27 unequal: No Solution
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,27 unequal: No Solution
No 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: 27:[24, 34], Operations: ['35-11=24', '29+5=34']
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 24*34=816, Resulting Numbers: [816]
816,27 unequal: No Solution
Exploring Operation: 24+34=58, Resulting Numbers: [58]
58,27 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: 27:[29, 11, 30], Operations: ['35-5=30']
Exploring Operation: 30-29=1, Resulting Numbers: [11, 1]
Generated Node #0,2,0: 27:[11, 1] Operation: 30-29=1
Exploring Operation: 29+11=40, Resulting Numbers: [30, 40]
Generated Node #0,2,1: 27:[30, 40] Operation: 29+11=40
Exploring Operation: 29-11=18, Resulting Numbers: [30, 18]
Generated Node #0,2,2: 27:[30, 18] Operation: 29-11=18
Exploring Operation: 30-11=19, Resulting Numbers: [29, 19]
Generated Node #0,2,3: 27:[29, 19] Operation: 30-11=19
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 27:[11, 1], Operations: ['35-5=30', '30-29=1']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,27 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,27 unequal: No Solution
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,27 unequal: No Solution
No 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: 27:[29, 19], Operations: ['35-5=30', '30-11=19']
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 29+19=48, Resulting Numbers: [48]
48,27 unequal: No Solution
Exploring Operation: 29*19=551, Resulting Numbers: [551]
551,27 unequal: No Solution
No 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: 27:[30, 18], Operations: ['35-5=30', '29-11=18']
Exploring Operation: 30*18=540, Resulting Numbers: [540]
540,27 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,27 unequal: No Solution
Exploring Operation: 30+18=48, Resulting Numbers: [48]
48,27 unequal: No Solution
No 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: 27:[30, 40], Operations: ['35-5=30', '29+11=40']
Exploring Operation: 30*40=1200, Resulting Numbers: [1200]
1200,27 unequal: No Solution
Exploring Operation: 30+40=70, Resulting Numbers: [70]
70,27 unequal: No Solution
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,27 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: 27:[5, 11, 6], Operations: ['35-29=6']
Exploring Operation: 6-5=1, Resulting Numbers: [11, 1]
Generated Node #0,3,0: 27:[11, 1] Operation: 6-5=1
Exploring Operation: 5*6=30, Resulting Numbers: [11, 30]
Generated Node #0,3,1: 27:[11, 30] Operation: 5*6=30
Exploring Operation: 11-6=5, Resulting Numbers: [5, 5]
Generated Node #0,3,2: 27:[5, 5] Operation: 11-6=5
Exploring Operation: 5+6=11, Resulting Numbers: [11, 11]
Generated Node #0,3,3: 27:[11, 11] Operation: 5+6=11
Moving to Node #0,3,0
Current State: 27:[11, 1], Operations: ['35-29=6', '6-5=1']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,27 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,27 unequal: No Solution
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,27 unequal: No Solution
Moving to Node #0,3,3
Current State: 27:[11, 11], Operations: ['35-29=6', '5+6=11']
Exploring Operation: 11/11=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 11-11=0, Resulting Numbers: [0]
0,27 unequal: No Solution
Exploring Operation: 11*11=121, Resulting Numbers: [121]
121,27 unequal: No Solution
Exploring Operation: 11+11=22, Resulting Numbers: [22]
22,27 unequal: No Solution
Moving to Node #0,3,2
Current State: 27:[5, 5], Operations: ['35-29=6', '11-6=5']
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,27 unequal: No Solution
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,27 unequal: No Solution
Moving to Node #0,3,1
Current State: 27:[11, 30], Operations: ['35-29=6', '5*6=30']
Exploring Operation: 11*30=330, Resulting Numbers: [330]
330,27 unequal: No Solution
Exploring Operation: 11+30=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,27 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 |
[
62,
9,
17,
16
] | 38 | [
"62+9=71",
"17+16=33",
"71-33=38"
] | Current State: 38:[62, 9, 17, 16], Operations: []
Exploring Operation: 62+9=71, Resulting Numbers: [17, 16, 71]
Generated Node #2: [17, 16, 71] from Operation: 62+9=71
Current State: 38:[17, 16, 71], Operations: ['62+9=71']
Exploring Operation: 17+16=33, Resulting Numbers: [71, 33]
Generated Node #3: [71, 33] from Operation: 17+16=33
Current State: 38:[71, 33], Operations: ['62+9=71', '17+16=33']
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[62, 9, 17, 16], Operations: []
Exploring Operation: 62-16=46, Resulting Numbers: [9, 17, 46]
Generated Node #0,0: 38:[9, 17, 46] Operation: 62-16=46
Exploring Operation: 62-17=45, Resulting Numbers: [9, 16, 45]
Generated Node #0,1: 38:[9, 16, 45] Operation: 62-17=45
Exploring Operation: 9+16=25, Resulting Numbers: [62, 17, 25]
Generated Node #0,2: 38:[62, 17, 25] Operation: 9+16=25
Exploring Operation: 62-9=53, Resulting Numbers: [17, 16, 53]
Generated Node #0,3: 38:[17, 16, 53] Operation: 62-9=53
Exploring Operation: 16-9=7, Resulting Numbers: [62, 17, 7]
Generated Node #0,4: 38:[62, 17, 7] Operation: 16-9=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[9, 17, 46], Operations: ['62-16=46']
Exploring Operation: 9+46=55, Resulting Numbers: [17, 55]
Generated Node #0,0,0: 38:[17, 55] Operation: 9+46=55
Exploring Operation: 46-9=37, Resulting Numbers: [17, 37]
Generated Node #0,0,1: 38:[17, 37] Operation: 46-9=37
Exploring Operation: 46-17=29, Resulting Numbers: [9, 29]
Generated Node #0,0,2: 38:[9, 29] Operation: 46-17=29
Exploring Operation: 17-9=8, Resulting Numbers: [46, 8]
Generated Node #0,0,3: 38:[46, 8] Operation: 17-9=8
Exploring Operation: 9+17=26, Resulting Numbers: [46, 26]
Generated Node #0,0,4: 38:[46, 26] Operation: 9+17=26
Moving to Node #0,0,1
Current State: 38:[17, 37], Operations: ['62-16=46', '46-9=37']
Exploring Operation: 17*37=629, Resulting Numbers: [629]
629,38 unequal: No Solution
Exploring Operation: 17+37=54, Resulting Numbers: [54]
54,38 unequal: No Solution
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Moving to Node #0,0,3
Current State: 38:[46, 8], Operations: ['62-16=46', '17-9=8']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[62, 9, 17, 16], Operations: []
Exploring Operation: 62-16=46, Resulting Numbers: [9, 17, 46]
Generated Node #0,0: 38:[9, 17, 46] Operation: 62-16=46
Moving to Node #0,0
Current State: 38:[9, 17, 46], Operations: ['62-16=46']
Exploring Operation: 17-9=8, Resulting Numbers: [46, 8]
Generated Node #0,0,3: 38:[46, 8] Operation: 17-9=8
Moving to Node #0,0,3
Current State: 38:[46, 8], Operations: ['62-16=46', '17-9=8']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
21,
30,
18,
87
] | 35 | [
"18+87=105",
"105/21=5",
"30+5=35"
] | Current State: 35:[21, 30, 18, 87], Operations: []
Exploring Operation: 18+87=105, Resulting Numbers: [21, 30, 105]
Generated Node #2: [21, 30, 105] from Operation: 18+87=105
Current State: 35:[21, 30, 105], Operations: ['18+87=105']
Exploring Operation: 105/21=5, Resulting Numbers: [30, 5]
Generated Node #3: [30, 5] from Operation: 105/21=5
Current State: 35:[30, 5], Operations: ['18+87=105', '105/21=5']
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[21, 30, 18, 87], Operations: []
Exploring Operation: 87-21=66, Resulting Numbers: [30, 18, 66]
Generated Node #0,0: 35:[30, 18, 66] Operation: 87-21=66
Moving to Node #0,0
Current State: 35:[30, 18, 66], Operations: ['87-21=66']
Exploring Operation: 66-30=36, Resulting Numbers: [18, 36]
Generated Node #0,0,0: 35:[18, 36] Operation: 66-30=36
Moving to Node #0,0,0
Current State: 35:[18, 36], Operations: ['87-21=66', '66-30=36']
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,35 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
45,
86,
69,
36
] | 64 | [
"86-45=41",
"69+36=105",
"105-41=64"
] | Current State: 64:[45, 86, 69, 36], Operations: []
Exploring Operation: 86-45=41, Resulting Numbers: [69, 36, 41]
Generated Node #2: [69, 36, 41] from Operation: 86-45=41
Current State: 64:[69, 36, 41], Operations: ['86-45=41']
Exploring Operation: 69+36=105, Resulting Numbers: [41, 105]
Generated Node #3: [41, 105] from Operation: 69+36=105
Current State: 64:[41, 105], Operations: ['86-45=41', '69+36=105']
Exploring Operation: 105-41=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[45, 86, 69, 36], Operations: []
Exploring Operation: 86-36=50, Resulting Numbers: [45, 69, 50]
Generated Node #0,0: 64:[45, 69, 50] Operation: 86-36=50
Exploring Operation: 45-36=9, Resulting Numbers: [86, 69, 9]
Generated Node #0,1: 64:[86, 69, 9] Operation: 45-36=9
Exploring Operation: 86-69=17, Resulting Numbers: [45, 36, 17]
Generated Node #0,2: 64:[45, 36, 17] Operation: 86-69=17
Exploring Operation: 86-45=41, Resulting Numbers: [69, 36, 41]
Generated Node #0,3: 64:[69, 36, 41] Operation: 86-45=41
Moving to Node #0,2
Current State: 64:[45, 36, 17], Operations: ['86-69=17']
Exploring Operation: 45-36=9, Resulting Numbers: [17, 9]
Generated Node #0,2,0: 64:[17, 9] Operation: 45-36=9
Exploring Operation: 45+17=62, Resulting Numbers: [36, 62]
Generated Node #0,2,1: 64:[36, 62] Operation: 45+17=62
Exploring Operation: 45-17=28, Resulting Numbers: [36, 28]
Generated Node #0,2,2: 64:[36, 28] Operation: 45-17=28
Exploring Operation: 36-17=19, Resulting Numbers: [45, 19]
Generated Node #0,2,3: 64:[45, 19] Operation: 36-17=19
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 64:[17, 9], Operations: ['86-69=17', '45-36=9']
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 64:[36, 62], Operations: ['86-69=17', '45+17=62']
Exploring Operation: 36+62=98, Resulting Numbers: [98]
98,64 unequal: No Solution
Exploring Operation: 36*62=2232, Resulting Numbers: [2232]
2232,64 unequal: No Solution
Exploring Operation: 62-36=26, Resulting Numbers: [26]
26,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 64:[36, 28], Operations: ['86-69=17', '45-17=28']
Exploring Operation: 36*28=1008, Resulting Numbers: [1008]
1008,64 unequal: No Solution
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 36+28=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[45, 86, 69, 36], Operations: []
Exploring Operation: 86-69=17, Resulting Numbers: [45, 36, 17]
Generated Node #0,2: 64:[45, 36, 17] Operation: 86-69=17
Moving to Node #0,2
Current State: 64:[45, 36, 17], Operations: ['86-69=17']
Exploring Operation: 45-17=28, Resulting Numbers: [36, 28]
Generated Node #0,2,2: 64:[36, 28] Operation: 45-17=28
Moving to Node #0,2,2
Current State: 64:[36, 28], Operations: ['86-69=17', '45-17=28']
Exploring Operation: 36+28=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
3,
23,
97,
8
] | 96 | [
"3*8=24",
"23+97=120",
"120-24=96"
] | Current State: 96:[3, 23, 97, 8], Operations: []
Exploring Operation: 3*8=24, Resulting Numbers: [23, 97, 24]
Generated Node #2: [23, 97, 24] from Operation: 3*8=24
Current State: 96:[23, 97, 24], Operations: ['3*8=24']
Exploring Operation: 23+97=120, Resulting Numbers: [24, 120]
Generated Node #3: [24, 120] from Operation: 23+97=120
Current State: 96:[24, 120], Operations: ['3*8=24', '23+97=120']
Exploring Operation: 120-24=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[3, 23, 97, 8], Operations: []
Exploring Operation: 3+23=26, Resulting Numbers: [97, 8, 26]
Generated Node #0,0: 96:[97, 8, 26] Operation: 3+23=26
Exploring Operation: 23+8=31, Resulting Numbers: [3, 97, 31]
Generated Node #0,1: 96:[3, 97, 31] Operation: 23+8=31
Exploring Operation: 3*8=24, Resulting Numbers: [23, 97, 24]
Generated Node #0,2: 96:[23, 97, 24] Operation: 3*8=24
Exploring Operation: 23-8=15, Resulting Numbers: [3, 97, 15]
Generated Node #0,3: 96:[3, 97, 15] Operation: 23-8=15
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[3, 97, 31], Operations: ['23+8=31']
Exploring Operation: 3*31=93, Resulting Numbers: [97, 93]
Generated Node #0,1,0: 96:[97, 93] Operation: 3*31=93
Exploring Operation: 3+97=100, Resulting Numbers: [31, 100]
Generated Node #0,1,1: 96:[31, 100] Operation: 3+97=100
Exploring Operation: 97-3=94, Resulting Numbers: [31, 94]
Generated Node #0,1,2: 96:[31, 94] Operation: 97-3=94
Exploring Operation: 3+31=34, Resulting Numbers: [97, 34]
Generated Node #0,1,3: 96:[97, 34] Operation: 3+31=34
Moving to Node #0,1,2
Current State: 96:[31, 94], Operations: ['23+8=31', '97-3=94']
Exploring Operation: 31+94=125, Resulting Numbers: [125]
125,96 unequal: No Solution
Exploring Operation: 31*94=2914, Resulting Numbers: [2914]
2914,96 unequal: No Solution
Exploring Operation: 94-31=63, Resulting Numbers: [63]
63,96 unequal: No Solution
Moving to Node #0,1,3
Current State: 96:[97, 34], Operations: ['23+8=31', '3+31=34']
Exploring Operation: 97+34=131, Resulting Numbers: [131]
131,96 unequal: No Solution
Exploring Operation: 97-34=63, Resulting Numbers: [63]
63,96 unequal: No Solution
Exploring Operation: 97*34=3298, Resulting Numbers: [3298]
3298,96 unequal: No Solution
Moving to Node #0,1,0
Current State: 96:[97, 93], Operations: ['23+8=31', '3*31=93']
Exploring Operation: 97-93=4, Resulting Numbers: [4]
4,96 unequal: No Solution
Exploring Operation: 97*93=9021, Resulting Numbers: [9021]
9021,96 unequal: No Solution
Exploring Operation: 97+93=190, Resulting Numbers: [190]
190,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[31, 100], Operations: ['23+8=31', '3+97=100']
Exploring Operation: 31*100=3100, Resulting Numbers: [3100]
3100,96 unequal: No Solution
Exploring Operation: 31+100=131, Resulting Numbers: [131]
131,96 unequal: No Solution
Exploring Operation: 100-31=69, Resulting Numbers: [69]
69,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 96:[23, 97, 24], Operations: ['3*8=24']
Exploring Operation: 24-23=1, Resulting Numbers: [97, 1]
Generated Node #0,2,0: 96:[97, 1] Operation: 24-23=1
Exploring Operation: 23+97=120, Resulting Numbers: [24, 120]
Generated Node #0,2,1: 96:[24, 120] Operation: 23+97=120
Exploring Operation: 23+24=47, Resulting Numbers: [97, 47]
Generated Node #0,2,2: 96:[97, 47] Operation: 23+24=47
Exploring Operation: 97-23=74, Resulting Numbers: [24, 74]
Generated Node #0,2,3: 96:[24, 74] Operation: 97-23=74
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 96:[97, 1], Operations: ['3*8=24', '24-23=1']
Exploring Operation: 97/1=97, Resulting Numbers: [97]
97,96 unequal: No Solution
Exploring Operation: 97+1=98, Resulting Numbers: [98]
98,96 unequal: No Solution
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[3, 23, 97, 8], Operations: []
Exploring Operation: 3*8=24, Resulting Numbers: [23, 97, 24]
Generated Node #0,2: 96:[23, 97, 24] Operation: 3*8=24
Moving to Node #0,2
Current State: 96:[23, 97, 24], Operations: ['3*8=24']
Exploring Operation: 24-23=1, Resulting Numbers: [97, 1]
Generated Node #0,2,0: 96:[97, 1] Operation: 24-23=1
Moving to Node #0,2,0
Current State: 96:[97, 1], Operations: ['3*8=24', '24-23=1']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 | hs_4 | sum_heuristic |
[
76,
26,
64,
10
] | 13 | [
"76-64=12",
"12-10=2",
"26/2=13"
] | Current State: 13:[76, 26, 64, 10], Operations: []
Exploring Operation: 76-64=12, Resulting Numbers: [26, 10, 12]
Generated Node #2: [26, 10, 12] from Operation: 76-64=12
Current State: 13:[26, 10, 12], Operations: ['76-64=12']
Exploring Operation: 12-10=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 12-10=2
Current State: 13:[26, 2], Operations: ['76-64=12', '12-10=2']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[76, 26, 64, 10], Operations: []
Exploring Operation: 76-26=50, Resulting Numbers: [64, 10, 50]
Generated Node #0,0: 13:[64, 10, 50] Operation: 76-26=50
Exploring Operation: 64-26=38, Resulting Numbers: [76, 10, 38]
Generated Node #0,1: 13:[76, 10, 38] Operation: 64-26=38
Exploring Operation: 76-10=66, Resulting Numbers: [26, 64, 66]
Generated Node #0,2: 13:[26, 64, 66] Operation: 76-10=66
Exploring Operation: 76-64=12, Resulting Numbers: [26, 10, 12]
Generated Node #0,3: 13:[26, 10, 12] Operation: 76-64=12
Start Sub Search at level 1: Moving to Node #0,3
Current State: 13:[26, 10, 12], Operations: ['76-64=12']
Exploring Operation: 10+12=22, Resulting Numbers: [26, 22]
Generated Node #0,3,0: 13:[26, 22] Operation: 10+12=22
Exploring Operation: 26-12=14, Resulting Numbers: [10, 14]
Generated Node #0,3,1: 13:[10, 14] Operation: 26-12=14
Exploring Operation: 26+10=36, Resulting Numbers: [12, 36]
Generated Node #0,3,2: 13:[12, 36] Operation: 26+10=36
Exploring Operation: 26-10=16, Resulting Numbers: [12, 16]
Generated Node #0,3,3: 13:[12, 16] Operation: 26-10=16
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 13:[10, 14], Operations: ['76-64=12', '26-12=14']
Exploring Operation: 10+14=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,13 unequal: No Solution
Exploring Operation: 10*14=140, Resulting Numbers: [140]
140,13 unequal: No Solution
No 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: 13:[12, 16], Operations: ['76-64=12', '26-10=16']
Exploring Operation: 12*16=192, Resulting Numbers: [192]
192,13 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,13 unequal: No Solution
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,13 unequal: No Solution
No 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: 13:[26, 22], Operations: ['76-64=12', '10+12=22']
Exploring Operation: 26*22=572, Resulting Numbers: [572]
572,13 unequal: No Solution
Exploring Operation: 26+22=48, Resulting Numbers: [48]
48,13 unequal: No Solution
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,13 unequal: No Solution
No 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: 13:[12, 36], Operations: ['76-64=12', '26+10=36']
Exploring Operation: 12+36=48, Resulting Numbers: [48]
48,13 unequal: No Solution
Exploring Operation: 12*36=432, Resulting Numbers: [432]
432,13 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,13 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: 13:[64, 10, 50], Operations: ['76-26=50']
Exploring Operation: 64-50=14, Resulting Numbers: [10, 14]
Generated Node #0,0,0: 13:[10, 14] Operation: 64-50=14
Exploring Operation: 50-10=40, Resulting Numbers: [64, 40]
Generated Node #0,0,1: 13:[64, 40] Operation: 50-10=40
Exploring Operation: 64-10=54, Resulting Numbers: [50, 54]
Generated Node #0,0,2: 13:[50, 54] Operation: 64-10=54
Exploring Operation: 50/10=5, Resulting Numbers: [64, 5]
Generated Node #0,0,3: 13:[64, 5] Operation: 50/10=5
Moving to Node #0,0,0
Current State: 13:[10, 14], Operations: ['76-26=50', '64-50=14']
Exploring Operation: 10*14=140, Resulting Numbers: [140]
140,13 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,13 unequal: No Solution
Exploring Operation: 10+14=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Moving to Node #0,0,3
Current State: 13:[64, 5], Operations: ['76-26=50', '50/10=5']
Exploring Operation: 64*5=320, Resulting Numbers: [320]
320,13 unequal: No Solution
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,13 unequal: No Solution
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,13 unequal: No Solution
Moving to Node #0,0,2
Current State: 13:[50, 54], Operations: ['76-26=50', '64-10=54']
Exploring Operation: 54-50=4, Resulting Numbers: [4]
4,13 unequal: No Solution
Exploring Operation: 50+54=104, Resulting Numbers: [104]
104,13 unequal: No Solution
Exploring Operation: 50*54=2700, Resulting Numbers: [2700]
2700,13 unequal: No Solution
Moving to Node #0,0,1
Current State: 13:[64, 40], Operations: ['76-26=50', '50-10=40']
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Exploring Operation: 64+40=104, Resulting Numbers: [104]
104,13 unequal: No Solution
Exploring Operation: 64*40=2560, Resulting Numbers: [2560]
2560,13 unequal: No Solution
No 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: 13:[76, 10, 38], Operations: ['64-26=38']
Exploring Operation: 76-10=66, Resulting Numbers: [38, 66]
Generated Node #0,1,0: 13:[38, 66] Operation: 76-10=66
Exploring Operation: 38-10=28, Resulting Numbers: [76, 28]
Generated Node #0,1,1: 13:[76, 28] Operation: 38-10=28
Exploring Operation: 76-38=38, Resulting Numbers: [10, 38]
Generated Node #0,1,2: 13:[10, 38] Operation: 76-38=38
Exploring Operation: 76/38=2, Resulting Numbers: [10, 2]
Generated Node #0,1,3: 13:[10, 2] Operation: 76/38=2
Moving to Node #0,1,3
Current State: 13:[10, 2], Operations: ['64-26=38', '76/38=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,13 unequal: No Solution
Moving to Node #0,1,2
Current State: 13:[10, 38], Operations: ['64-26=38', '76-38=38']
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,13 unequal: No Solution
Exploring Operation: 10+38=48, Resulting Numbers: [48]
48,13 unequal: No Solution
Exploring Operation: 10*38=380, Resulting Numbers: [380]
380,13 unequal: No Solution
Moving to Node #0,1,1
Current State: 13:[76, 28], Operations: ['64-26=38', '38-10=28']
Exploring Operation: 76*28=2128, Resulting Numbers: [2128]
2128,13 unequal: No Solution
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,13 unequal: No Solution
Exploring Operation: 76+28=104, Resulting Numbers: [104]
104,13 unequal: No Solution
Moving to Node #0,1,0
Current State: 13:[38, 66], Operations: ['64-26=38', '76-10=66']
Exploring Operation: 66-38=28, Resulting Numbers: [28]
28,13 unequal: No Solution
Exploring Operation: 38*66=2508, Resulting Numbers: [2508]
2508,13 unequal: No Solution
Exploring Operation: 38+66=104, Resulting Numbers: [104]
104,13 unequal: No Solution
No 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: 13:[26, 64, 66], Operations: ['76-10=66']
Exploring Operation: 26+64=90, Resulting Numbers: [66, 90]
Generated Node #0,2,0: 13:[66, 90] Operation: 26+64=90
Exploring Operation: 66-64=2, Resulting Numbers: [26, 2]
Generated Node #0,2,1: 13:[26, 2] Operation: 66-64=2
Exploring Operation: 66-26=40, Resulting Numbers: [64, 40]
Generated Node #0,2,2: 13:[64, 40] Operation: 66-26=40
Exploring Operation: 64-26=38, Resulting Numbers: [66, 38]
Generated Node #0,2,3: 13:[66, 38] Operation: 64-26=38
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 13:[26, 2], Operations: ['76-10=66', '66-64=2']
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,13 unequal: No Solution
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,13 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[76, 26, 64, 10], Operations: []
Exploring Operation: 76-10=66, Resulting Numbers: [26, 64, 66]
Generated Node #0,2: 13:[26, 64, 66] Operation: 76-10=66
Moving to Node #0,2
Current State: 13:[26, 64, 66], Operations: ['76-10=66']
Exploring Operation: 66-64=2, Resulting Numbers: [26, 2]
Generated Node #0,2,1: 13:[26, 2] Operation: 66-64=2
Moving to Node #0,2,1
Current State: 13:[26, 2], Operations: ['76-10=66', '66-64=2']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.942708 | hs_4 | sum_heuristic |
[
65,
71,
79,
87
] | 14 | [
"71-65=6",
"87-79=8",
"6+8=14"
] | Current State: 14:[65, 71, 79, 87], Operations: []
Exploring Operation: 71-65=6, Resulting Numbers: [79, 87, 6]
Generated Node #2: [79, 87, 6] from Operation: 71-65=6
Current State: 14:[79, 87, 6], Operations: ['71-65=6']
Exploring Operation: 87-79=8, Resulting Numbers: [6, 8]
Generated Node #3: [6, 8] from Operation: 87-79=8
Current State: 14:[6, 8], Operations: ['71-65=6', '87-79=8']
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[65, 71, 79, 87], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [65, 71, 8]
Generated Node #0,0: 14:[65, 71, 8] Operation: 87-79=8
Exploring Operation: 87-71=16, Resulting Numbers: [65, 79, 16]
Generated Node #0,1: 14:[65, 79, 16] Operation: 87-71=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[65, 71, 8], Operations: ['87-79=8']
Exploring Operation: 71-65=6, Resulting Numbers: [8, 6]
Generated Node #0,0,0: 14:[8, 6] Operation: 71-65=6
Exploring Operation: 65-8=57, Resulting Numbers: [71, 57]
Generated Node #0,0,1: 14:[71, 57] Operation: 65-8=57
Moving to Node #0,0,0
Current State: 14:[8, 6], Operations: ['87-79=8', '71-65=6']
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[65, 71, 79, 87], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [65, 71, 8]
Generated Node #0,0: 14:[65, 71, 8] Operation: 87-79=8
Moving to Node #0,0
Current State: 14:[65, 71, 8], Operations: ['87-79=8']
Exploring Operation: 71-65=6, Resulting Numbers: [8, 6]
Generated Node #0,0,0: 14:[8, 6] Operation: 71-65=6
Moving to Node #0,0,0
Current State: 14:[8, 6], Operations: ['87-79=8', '71-65=6']
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
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