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 |
|---|---|---|---|---|---|---|---|---|
[
54,
36,
62,
33
] | 80 | [
"36-33=3",
"54/3=18",
"62+18=80"
] | Current State: 80:[54, 36, 62, 33], Operations: []
Exploring Operation: 36-33=3, Resulting Numbers: [54, 62, 3]
Generated Node #2: [54, 62, 3] from Operation: 36-33=3
Current State: 80:[54, 62, 3], Operations: ['36-33=3']
Exploring Operation: 54/3=18, Resulting Numbers: [62, 18]
Generated Node #3: [62, 18] from Operation: 54/3=18
Current State: 80:[62, 18], Operations: ['36-33=3', '54/3=18']
Exploring Operation: 62+18=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[54, 36, 62, 33], Operations: []
Exploring Operation: 54-33=21, Resulting Numbers: [36, 62, 21]
Generated Node #0,0: 80:[36, 62, 21] Operation: 54-33=21
Exploring Operation: 62-54=8, Resulting Numbers: [36, 33, 8]
Generated Node #0,1: 80:[36, 33, 8] Operation: 62-54=8
Exploring Operation: 54-36=18, Resulting Numbers: [62, 33, 18]
Generated Node #0,2: 80:[62, 33, 18] Operation: 54-36=18
Moving to Node #0,1
Current State: 80:[36, 33, 8], Operations: ['62-54=8']
Exploring Operation: 36-33=3, Resulting Numbers: [8, 3]
Generated Node #0,1,0: 80:[8, 3] Operation: 36-33=3
Exploring Operation: 33-8=25, Resulting Numbers: [36, 25]
Generated Node #0,1,1: 80:[36, 25] Operation: 33-8=25
Exploring Operation: 33+8=41, Resulting Numbers: [36, 41]
Generated Node #0,1,2: 80:[36, 41] Operation: 33+8=41
Moving to Node #0,0
Current State: 80:[36, 62, 21], Operations: ['54-33=21']
Exploring Operation: 62-36=26, Resulting Numbers: [21, 26]
Generated Node #0,0,0: 80:[21, 26] Operation: 62-36=26
Exploring Operation: 62+21=83, Resulting Numbers: [36, 83]
Generated Node #0,0,1: 80:[36, 83] Operation: 62+21=83
Exploring Operation: 62-21=41, Resulting Numbers: [36, 41]
Generated Node #0,0,2: 80:[36, 41] Operation: 62-21=41
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 80:[36, 41], Operations: ['54-33=21', '62-21=41']
Exploring Operation: 41-36=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 36*41=1476, Resulting Numbers: [1476]
1476,80 unequal: No Solution
Exploring Operation: 36+41=77, Resulting Numbers: [77]
77,80 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:[21, 26], Operations: ['54-33=21', '62-36=26']
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 21+26=47, Resulting Numbers: [47]
47,80 unequal: No Solution
Exploring Operation: 21*26=546, Resulting Numbers: [546]
546,80 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:[36, 83], Operations: ['54-33=21', '62+21=83']
Exploring Operation: 36*83=2988, Resulting Numbers: [2988]
2988,80 unequal: No Solution
Exploring Operation: 36+83=119, Resulting Numbers: [119]
119,80 unequal: No Solution
Exploring Operation: 83-36=47, Resulting Numbers: [47]
47,80 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: 80:[62, 33, 18], Operations: ['54-36=18']
Exploring Operation: 62-18=44, Resulting Numbers: [33, 44]
Generated Node #0,2,0: 80:[33, 44] Operation: 62-18=44
Exploring Operation: 62-33=29, Resulting Numbers: [18, 29]
Generated Node #0,2,1: 80:[18, 29] Operation: 62-33=29
Exploring Operation: 62+18=80, Resulting Numbers: [33, 80]
Generated Node #0,2,2: 80:[33, 80] Operation: 62+18=80
Moving to Node #0,1,0
Current State: 80:[8, 3], Operations: ['62-54=8', '36-33=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,80 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,80 unequal: No Solution
Moving to Node #0,1,2
Current State: 80:[36, 41], Operations: ['62-54=8', '33+8=41']
Exploring Operation: 36+41=77, Resulting Numbers: [77]
77,80 unequal: No Solution
Exploring Operation: 36*41=1476, Resulting Numbers: [1476]
1476,80 unequal: No Solution
Exploring Operation: 41-36=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Moving to Node #0,2,2
Current State: 80:[33, 80], Operations: ['54-36=18', '62+18=80']
Exploring Operation: 33*80=2640, Resulting Numbers: [2640]
2640,80 unequal: No Solution
Exploring Operation: 33+80=113, Resulting Numbers: [113]
113,80 unequal: No Solution
Exploring Operation: 80-33=47, Resulting Numbers: [47]
47,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[36, 25], Operations: ['62-54=8', '33-8=25']
Exploring Operation: 36-25=11, Resulting Numbers: [11]
11,80 unequal: No Solution
Exploring Operation: 36+25=61, Resulting Numbers: [61]
61,80 unequal: No Solution
Exploring Operation: 36*25=900, Resulting Numbers: [900]
900,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[18, 29], Operations: ['54-36=18', '62-33=29']
Exploring Operation: 18+29=47, Resulting Numbers: [47]
47,80 unequal: No Solution
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,80 unequal: No Solution
Exploring Operation: 18*29=522, Resulting Numbers: [522]
522,80 unequal: No Solution
Moving to Node #0,2,0
Current State: 80:[33, 44], Operations: ['54-36=18', '62-18=44']
Exploring Operation: 33+44=77, Resulting Numbers: [77]
77,80 unequal: No Solution
Exploring Operation: 33*44=1452, Resulting Numbers: [1452]
1452,80 unequal: No Solution
Exploring Operation: 44-33=11, Resulting Numbers: [11]
11,80 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
41,
58,
15,
65
] | 18 | [
"58+65=123",
"123/41=3",
"15+3=18"
] | Current State: 18:[41, 58, 15, 65], Operations: []
Exploring Operation: 58+65=123, Resulting Numbers: [41, 15, 123]
Generated Node #2: [41, 15, 123] from Operation: 58+65=123
Current State: 18:[41, 15, 123], Operations: ['58+65=123']
Exploring Operation: 123/41=3, Resulting Numbers: [15, 3]
Generated Node #3: [15, 3] from Operation: 123/41=3
Current State: 18:[15, 3], Operations: ['58+65=123', '123/41=3']
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[41, 58, 15, 65], Operations: []
Exploring Operation: 65-58=7, Resulting Numbers: [41, 15, 7]
Generated Node #0,0: 18:[41, 15, 7] Operation: 65-58=7
Exploring Operation: 65-41=24, Resulting Numbers: [58, 15, 24]
Generated Node #0,1: 18:[58, 15, 24] Operation: 65-41=24
Moving to Node #0,0
Current State: 18:[41, 15, 7], Operations: ['65-58=7']
Exploring Operation: 41-15=26, Resulting Numbers: [7, 26]
Generated Node #0,0,0: 18:[7, 26] Operation: 41-15=26
Exploring Operation: 41-7=34, Resulting Numbers: [15, 34]
Generated Node #0,0,1: 18:[15, 34] Operation: 41-7=34
Moving to Node #0,1
Current State: 18:[58, 15, 24], Operations: ['65-41=24']
Exploring Operation: 58-15=43, Resulting Numbers: [24, 43]
Generated Node #0,1,0: 18:[24, 43] Operation: 58-15=43
Exploring Operation: 58-24=34, Resulting Numbers: [15, 34]
Generated Node #0,1,1: 18:[15, 34] Operation: 58-24=34
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 18:[15, 34], Operations: ['65-41=24', '58-24=34']
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,18 unequal: No Solution
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,18 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:[24, 43], Operations: ['65-41=24', '58-15=43']
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,18 unequal: No Solution
Exploring Operation: 24+43=67, Resulting Numbers: [67]
67,18 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: 18:[7, 26], Operations: ['65-58=7', '41-15=26']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,18 unequal: No Solution
Exploring Operation: 7+26=33, Resulting Numbers: [33]
33,18 unequal: No Solution
Moving to Node #0,0,1
Current State: 18:[15, 34], Operations: ['65-58=7', '41-7=34']
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,18 unequal: No Solution
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,18 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
93,
13,
71,
22
] | 13 | [
"93+13=106",
"71+22=93",
"106-93=13"
] | Current State: 13:[93, 13, 71, 22], Operations: []
Exploring Operation: 93+13=106, Resulting Numbers: [71, 22, 106]
Generated Node #2: [71, 22, 106] from Operation: 93+13=106
Current State: 13:[71, 22, 106], Operations: ['93+13=106']
Exploring Operation: 71+22=93, Resulting Numbers: [106, 93]
Generated Node #3: [106, 93] from Operation: 71+22=93
Current State: 13:[106, 93], Operations: ['93+13=106', '71+22=93']
Exploring Operation: 106-93=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[93, 13, 71, 22], Operations: []
Exploring Operation: 93-22=71, Resulting Numbers: [13, 71, 71]
Generated Node #0,0: 13:[13, 71, 71] Operation: 93-22=71
Exploring Operation: 93-71=22, Resulting Numbers: [13, 22, 22]
Generated Node #0,1: 13:[13, 22, 22] Operation: 93-71=22
Exploring Operation: 71-22=49, Resulting Numbers: [93, 13, 49]
Generated Node #0,2: 13:[93, 13, 49] Operation: 71-22=49
Exploring Operation: 71-13=58, Resulting Numbers: [93, 22, 58]
Generated Node #0,3: 13:[93, 22, 58] Operation: 71-13=58
Exploring Operation: 93-13=80, Resulting Numbers: [71, 22, 80]
Generated Node #0,4: 13:[71, 22, 80] Operation: 93-13=80
Moving to Node #0,1
Current State: 13:[13, 22, 22], Operations: ['93-71=22']
Exploring Operation: 22/22=1, Resulting Numbers: [13, 1]
Generated Node #0,1,0: 13:[13, 1] Operation: 22/22=1
Exploring Operation: 22-22=0, Resulting Numbers: [13, 0]
Generated Node #0,1,1: 13:[13, 0] Operation: 22-22=0
Exploring Operation: 22-13=9, Resulting Numbers: [22, 9]
Generated Node #0,1,2: 13:[22, 9] Operation: 22-13=9
Exploring Operation: 13+22=35, Resulting Numbers: [22, 35]
Generated Node #0,1,3: 13:[22, 35] Operation: 13+22=35
Exploring Operation: 22-13=9, Resulting Numbers: [22, 9]
Generated Node #0,1,4: 13:[22, 9] Operation: 22-13=9
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 13:[13, 1], Operations: ['93-71=22', '22/22=1']
Exploring Operation: 13+1=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 13*1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[93, 13, 71, 22], Operations: []
Exploring Operation: 93-71=22, Resulting Numbers: [13, 22, 22]
Generated Node #0,1: 13:[13, 22, 22] Operation: 93-71=22
Moving to Node #0,1
Current State: 13:[13, 22, 22], Operations: ['93-71=22']
Exploring Operation: 22/22=1, Resulting Numbers: [13, 1]
Generated Node #0,1,0: 13:[13, 1] Operation: 22/22=1
Moving to Node #0,1,0
Current State: 13:[13, 1], Operations: ['93-71=22', '22/22=1']
Exploring Operation: 13*1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
46,
64,
56,
34
] | 88 | [
"46+64=110",
"56-34=22",
"110-22=88"
] | Current State: 88:[46, 64, 56, 34], Operations: []
Exploring Operation: 46+64=110, Resulting Numbers: [56, 34, 110]
Generated Node #2: [56, 34, 110] from Operation: 46+64=110
Current State: 88:[56, 34, 110], Operations: ['46+64=110']
Exploring Operation: 56-34=22, Resulting Numbers: [110, 22]
Generated Node #3: [110, 22] from Operation: 56-34=22
Current State: 88:[110, 22], Operations: ['46+64=110', '56-34=22']
Exploring Operation: 110-22=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[46, 64, 56, 34], Operations: []
Exploring Operation: 64-56=8, Resulting Numbers: [46, 34, 8]
Generated Node #0,0: 88:[46, 34, 8] Operation: 64-56=8
Exploring Operation: 56-34=22, Resulting Numbers: [46, 64, 22]
Generated Node #0,1: 88:[46, 64, 22] Operation: 56-34=22
Exploring Operation: 64-34=30, Resulting Numbers: [46, 56, 30]
Generated Node #0,2: 88:[46, 56, 30] Operation: 64-34=30
Exploring Operation: 64+34=98, Resulting Numbers: [46, 56, 98]
Generated Node #0,3: 88:[46, 56, 98] Operation: 64+34=98
Moving to Node #0,0
Current State: 88:[46, 34, 8], Operations: ['64-56=8']
Exploring Operation: 34-8=26, Resulting Numbers: [46, 26]
Generated Node #0,0,0: 88:[46, 26] Operation: 34-8=26
Exploring Operation: 46+34=80, Resulting Numbers: [8, 80]
Generated Node #0,0,1: 88:[8, 80] Operation: 46+34=80
Exploring Operation: 34+8=42, Resulting Numbers: [46, 42]
Generated Node #0,0,2: 88:[46, 42] Operation: 34+8=42
Exploring Operation: 46-34=12, Resulting Numbers: [8, 12]
Generated Node #0,0,3: 88:[8, 12] Operation: 46-34=12
Moving to Node #0,2
Current State: 88:[46, 56, 30], Operations: ['64-34=30']
Exploring Operation: 56+30=86, Resulting Numbers: [46, 86]
Generated Node #0,2,0: 88:[46, 86] Operation: 56+30=86
Exploring Operation: 56-46=10, Resulting Numbers: [30, 10]
Generated Node #0,2,1: 88:[30, 10] Operation: 56-46=10
Exploring Operation: 46-30=16, Resulting Numbers: [56, 16]
Generated Node #0,2,2: 88:[56, 16] Operation: 46-30=16
Exploring Operation: 56-30=26, Resulting Numbers: [46, 26]
Generated Node #0,2,3: 88:[46, 26] Operation: 56-30=26
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 88:[46, 86], Operations: ['64-34=30', '56+30=86']
Exploring Operation: 46*86=3956, Resulting Numbers: [3956]
3956,88 unequal: No Solution
Exploring Operation: 86-46=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 46+86=132, Resulting Numbers: [132]
132,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 88:[46, 26], Operations: ['64-34=30', '56-30=26']
Exploring Operation: 46+26=72, Resulting Numbers: [72]
72,88 unequal: No Solution
Exploring Operation: 46*26=1196, Resulting Numbers: [1196]
1196,88 unequal: No Solution
Exploring Operation: 46-26=20, Resulting Numbers: [20]
20,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 88:[30, 10], Operations: ['64-34=30', '56-46=10']
Exploring Operation: 30+10=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 30*10=300, Resulting Numbers: [300]
300,88 unequal: No Solution
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 88:[56, 16], Operations: ['64-34=30', '46-30=16']
Exploring Operation: 56+16=72, Resulting Numbers: [72]
72,88 unequal: No Solution
Exploring Operation: 56-16=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 56*16=896, Resulting Numbers: [896]
896,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 88:[46, 64, 22], Operations: ['56-34=22']
Exploring Operation: 64-46=18, Resulting Numbers: [22, 18]
Generated Node #0,1,0: 88:[22, 18] Operation: 64-46=18
Exploring Operation: 46+64=110, Resulting Numbers: [22, 110]
Generated Node #0,1,1: 88:[22, 110] Operation: 46+64=110
Exploring Operation: 64-22=42, Resulting Numbers: [46, 42]
Generated Node #0,1,2: 88:[46, 42] Operation: 64-22=42
Exploring Operation: 64+22=86, Resulting Numbers: [46, 86]
Generated Node #0,1,3: 88:[46, 86] Operation: 64+22=86
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 88:[22, 18], Operations: ['56-34=22', '64-46=18']
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,88 unequal: No Solution
Exploring Operation: 22*18=396, Resulting Numbers: [396]
396,88 unequal: No Solution
Exploring Operation: 22+18=40, Resulting Numbers: [40]
40,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 88:[46, 42], Operations: ['56-34=22', '64-22=42']
Exploring Operation: 46*42=1932, Resulting Numbers: [1932]
1932,88 unequal: No Solution
Exploring Operation: 46+42=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[46, 64, 56, 34], Operations: []
Exploring Operation: 56-34=22, Resulting Numbers: [46, 64, 22]
Generated Node #0,1: 88:[46, 64, 22] Operation: 56-34=22
Moving to Node #0,1
Current State: 88:[46, 64, 22], Operations: ['56-34=22']
Exploring Operation: 64-22=42, Resulting Numbers: [46, 42]
Generated Node #0,1,2: 88:[46, 42] Operation: 64-22=42
Moving to Node #0,1,2
Current State: 88:[46, 42], Operations: ['56-34=22', '64-22=42']
Exploring Operation: 46+42=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 | hs_4 | mult_heuristic |
[
50,
49,
7,
76
] | 25 | [
"50+49=99",
"76+99=175",
"175/7=25"
] | Current State: 25:[50, 49, 7, 76], Operations: []
Exploring Operation: 50+49=99, Resulting Numbers: [7, 76, 99]
Generated Node #2: [7, 76, 99] from Operation: 50+49=99
Current State: 25:[7, 76, 99], Operations: ['50+49=99']
Exploring Operation: 76+99=175, Resulting Numbers: [7, 175]
Generated Node #3: [7, 175] from Operation: 76+99=175
Current State: 25:[7, 175], Operations: ['50+49=99', '76+99=175']
Exploring Operation: 175/7=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[50, 49, 7, 76], Operations: []
Exploring Operation: 76-50=26, Resulting Numbers: [49, 7, 26]
Generated Node #0,0: 25:[49, 7, 26] Operation: 76-50=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[49, 7, 26], Operations: ['76-50=26']
Exploring Operation: 49/7=7, Resulting Numbers: [26, 7]
Generated Node #0,0,0: 25:[26, 7] Operation: 49/7=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[26, 7], Operations: ['76-50=26', '49/7=7']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,25 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 |
[
2,
17,
63,
67
] | 88 | [
"2*67=134",
"63-17=46",
"134-46=88"
] | Current State: 88:[2, 17, 63, 67], Operations: []
Exploring Operation: 2*67=134, Resulting Numbers: [17, 63, 134]
Generated Node #2: [17, 63, 134] from Operation: 2*67=134
Current State: 88:[17, 63, 134], Operations: ['2*67=134']
Exploring Operation: 63-17=46, Resulting Numbers: [134, 46]
Generated Node #3: [134, 46] from Operation: 63-17=46
Current State: 88:[134, 46], Operations: ['2*67=134', '63-17=46']
Exploring Operation: 134-46=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[2, 17, 63, 67], Operations: []
Exploring Operation: 67-17=50, Resulting Numbers: [2, 63, 50]
Generated Node #0,0: 88:[2, 63, 50] Operation: 67-17=50
Exploring Operation: 67-63=4, Resulting Numbers: [2, 17, 4]
Generated Node #0,1: 88:[2, 17, 4] Operation: 67-63=4
Exploring Operation: 63-17=46, Resulting Numbers: [2, 67, 46]
Generated Node #0,2: 88:[2, 67, 46] Operation: 63-17=46
Exploring Operation: 17+67=84, Resulting Numbers: [2, 63, 84]
Generated Node #0,3: 88:[2, 63, 84] Operation: 17+67=84
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[2, 17, 4], Operations: ['67-63=4']
Exploring Operation: 17-4=13, Resulting Numbers: [2, 13]
Generated Node #0,1,0: 88:[2, 13] Operation: 17-4=13
Exploring Operation: 2+17=19, Resulting Numbers: [4, 19]
Generated Node #0,1,1: 88:[4, 19] Operation: 2+17=19
Exploring Operation: 17-2=15, Resulting Numbers: [4, 15]
Generated Node #0,1,2: 88:[4, 15] Operation: 17-2=15
Exploring Operation: 17+4=21, Resulting Numbers: [2, 21]
Generated Node #0,1,3: 88:[2, 21] Operation: 17+4=21
Moving to Node #0,1,3
Current State: 88:[2, 21], Operations: ['67-63=4', '17+4=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,88 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,88 unequal: No Solution
Moving to Node #0,1,0
Current State: 88:[2, 13], Operations: ['67-63=4', '17-4=13']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,88 unequal: No Solution
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,88 unequal: No Solution
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,88 unequal: No Solution
Moving to Node #0,1,1
Current State: 88:[4, 19], Operations: ['67-63=4', '2+17=19']
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,88 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,88 unequal: No Solution
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,88 unequal: No Solution
Moving to Node #0,1,2
Current State: 88:[4, 15], Operations: ['67-63=4', '17-2=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,88 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 88:[2, 67, 46], Operations: ['63-17=46']
Exploring Operation: 67-46=21, Resulting Numbers: [2, 21]
Generated Node #0,2,0: 88:[2, 21] Operation: 67-46=21
Exploring Operation: 46/2=23, Resulting Numbers: [67, 23]
Generated Node #0,2,1: 88:[67, 23] Operation: 46/2=23
Exploring Operation: 46-2=44, Resulting Numbers: [67, 44]
Generated Node #0,2,2: 88:[67, 44] Operation: 46-2=44
Exploring Operation: 2+67=69, Resulting Numbers: [46, 69]
Generated Node #0,2,3: 88:[46, 69] Operation: 2+67=69
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 88:[2, 21], Operations: ['63-17=46', '67-46=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,88 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 88:[67, 44], Operations: ['63-17=46', '46-2=44']
Exploring Operation: 67+44=111, Resulting Numbers: [111]
111,88 unequal: No Solution
Exploring Operation: 67*44=2948, Resulting Numbers: [2948]
2948,88 unequal: No Solution
Exploring Operation: 67-44=23, Resulting Numbers: [23]
23,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 88:[46, 69], Operations: ['63-17=46', '2+67=69']
Exploring Operation: 46*69=3174, Resulting Numbers: [3174]
3174,88 unequal: No Solution
Exploring Operation: 46+69=115, Resulting Numbers: [115]
115,88 unequal: No Solution
Exploring Operation: 69-46=23, Resulting Numbers: [23]
23,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 88:[67, 23], Operations: ['63-17=46', '46/2=23']
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,88 unequal: No Solution
Exploring Operation: 67*23=1541, Resulting Numbers: [1541]
1541,88 unequal: No Solution
Exploring Operation: 67+23=90, Resulting Numbers: [90]
90,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 88:[2, 63, 84], Operations: ['17+67=84']
Exploring Operation: 84-63=21, Resulting Numbers: [2, 21]
Generated Node #0,3,0: 88:[2, 21] Operation: 84-63=21
Exploring Operation: 84/2=42, Resulting Numbers: [63, 42]
Generated Node #0,3,1: 88:[63, 42] Operation: 84/2=42
Exploring Operation: 63-2=61, Resulting Numbers: [84, 61]
Generated Node #0,3,2: 88:[84, 61] Operation: 63-2=61
Exploring Operation: 2+84=86, Resulting Numbers: [63, 86]
Generated Node #0,3,3: 88:[63, 86] Operation: 2+84=86
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 88:[2, 21], Operations: ['17+67=84', '84-63=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,88 unequal: No Solution
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 88:[63, 42], Operations: ['17+67=84', '84/2=42']
Exploring Operation: 63+42=105, Resulting Numbers: [105]
105,88 unequal: No Solution
Exploring Operation: 63-42=21, Resulting Numbers: [21]
21,88 unequal: No Solution
Exploring Operation: 63*42=2646, Resulting Numbers: [2646]
2646,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 88:[84, 61], Operations: ['17+67=84', '63-2=61']
Exploring Operation: 84-61=23, Resulting Numbers: [23]
23,88 unequal: No Solution
Exploring Operation: 84*61=5124, Resulting Numbers: [5124]
5124,88 unequal: No Solution
Exploring Operation: 84+61=145, Resulting Numbers: [145]
145,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 88:[63, 86], Operations: ['17+67=84', '2+84=86']
Exploring Operation: 86-63=23, Resulting Numbers: [23]
23,88 unequal: No Solution
Exploring Operation: 63+86=149, Resulting Numbers: [149]
149,88 unequal: No Solution
Exploring Operation: 63*86=5418, Resulting Numbers: [5418]
5418,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[2, 63, 50], Operations: ['67-17=50']
Exploring Operation: 63-50=13, Resulting Numbers: [2, 13]
Generated Node #0,0,0: 88:[2, 13] Operation: 63-50=13
Exploring Operation: 50-2=48, Resulting Numbers: [63, 48]
Generated Node #0,0,1: 88:[63, 48] Operation: 50-2=48
Exploring Operation: 50/2=25, Resulting Numbers: [63, 25]
Generated Node #0,0,2: 88:[63, 25] Operation: 50/2=25
Exploring Operation: 63-2=61, Resulting Numbers: [50, 61]
Generated Node #0,0,3: 88:[50, 61] Operation: 63-2=61
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[2, 13], Operations: ['67-17=50', '63-50=13']
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,88 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,88 unequal: No Solution
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 88:[63, 25], Operations: ['67-17=50', '50/2=25']
Exploring Operation: 63+25=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[2, 17, 63, 67], Operations: []
Exploring Operation: 67-17=50, Resulting Numbers: [2, 63, 50]
Generated Node #0,0: 88:[2, 63, 50] Operation: 67-17=50
Moving to Node #0,0
Current State: 88:[2, 63, 50], Operations: ['67-17=50']
Exploring Operation: 50/2=25, Resulting Numbers: [63, 25]
Generated Node #0,0,2: 88:[63, 25] Operation: 50/2=25
Moving to Node #0,0,2
Current State: 88:[63, 25], Operations: ['67-17=50', '50/2=25']
Exploring Operation: 63+25=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.944444 | hs_4 | sum_heuristic |
[
5,
20,
68,
16
] | 80 | [
"20/5=4",
"68+16=84",
"84-4=80"
] | Current State: 80:[5, 20, 68, 16], Operations: []
Exploring Operation: 20/5=4, Resulting Numbers: [68, 16, 4]
Generated Node #2: [68, 16, 4] from Operation: 20/5=4
Current State: 80:[68, 16, 4], Operations: ['20/5=4']
Exploring Operation: 68+16=84, Resulting Numbers: [4, 84]
Generated Node #3: [4, 84] from Operation: 68+16=84
Current State: 80:[4, 84], Operations: ['20/5=4', '68+16=84']
Exploring Operation: 84-4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[5, 20, 68, 16], Operations: []
Exploring Operation: 68+16=84, Resulting Numbers: [5, 20, 84]
Generated Node #0,0: 80:[5, 20, 84] Operation: 68+16=84
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[5, 20, 84], Operations: ['68+16=84']
Exploring Operation: 84-5=79, Resulting Numbers: [20, 79]
Generated Node #0,0,0: 80:[20, 79] Operation: 84-5=79
Moving to Node #0,0,0
Current State: 80:[20, 79], Operations: ['68+16=84', '84-5=79']
Exploring Operation: 20+79=99, Resulting Numbers: [99]
99,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
5,
60,
87,
72
] | 80 | [
"5+60=65",
"87-72=15",
"65+15=80"
] | Current State: 80:[5, 60, 87, 72], Operations: []
Exploring Operation: 5+60=65, Resulting Numbers: [87, 72, 65]
Generated Node #2: [87, 72, 65] from Operation: 5+60=65
Current State: 80:[87, 72, 65], Operations: ['5+60=65']
Exploring Operation: 87-72=15, Resulting Numbers: [65, 15]
Generated Node #3: [65, 15] from Operation: 87-72=15
Current State: 80:[65, 15], Operations: ['5+60=65', '87-72=15']
Exploring Operation: 65+15=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[5, 60, 87, 72], Operations: []
Exploring Operation: 87-72=15, Resulting Numbers: [5, 60, 15]
Generated Node #0,0: 80:[5, 60, 15] Operation: 87-72=15
Exploring Operation: 5+60=65, Resulting Numbers: [87, 72, 65]
Generated Node #0,1: 80:[87, 72, 65] Operation: 5+60=65
Exploring Operation: 72-60=12, Resulting Numbers: [5, 87, 12]
Generated Node #0,2: 80:[5, 87, 12] Operation: 72-60=12
Exploring Operation: 60/5=12, Resulting Numbers: [87, 72, 12]
Generated Node #0,3: 80:[87, 72, 12] Operation: 60/5=12
Exploring Operation: 87-60=27, Resulting Numbers: [5, 72, 27]
Generated Node #0,4: 80:[5, 72, 27] Operation: 87-60=27
Start Sub Search at level 1: Moving to Node #0,2
Current State: 80:[5, 87, 12], Operations: ['72-60=12']
Exploring Operation: 87-12=75, Resulting Numbers: [5, 75]
Generated Node #0,2,0: 80:[5, 75] Operation: 87-12=75
Exploring Operation: 5+87=92, Resulting Numbers: [12, 92]
Generated Node #0,2,1: 80:[12, 92] Operation: 5+87=92
Exploring Operation: 87-5=82, Resulting Numbers: [12, 82]
Generated Node #0,2,2: 80:[12, 82] Operation: 87-5=82
Exploring Operation: 12-5=7, Resulting Numbers: [87, 7]
Generated Node #0,2,3: 80:[87, 7] Operation: 12-5=7
Exploring Operation: 5+12=17, Resulting Numbers: [87, 17]
Generated Node #0,2,4: 80:[87, 17] Operation: 5+12=17
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 80:[12, 82], Operations: ['72-60=12', '87-5=82']
Exploring Operation: 12+82=94, Resulting Numbers: [94]
94,80 unequal: No Solution
Exploring Operation: 12*82=984, Resulting Numbers: [984]
984,80 unequal: No Solution
Exploring Operation: 82-12=70, Resulting Numbers: [70]
70,80 unequal: No Solution
No 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: 80:[5, 75], Operations: ['72-60=12', '87-12=75']
Exploring Operation: 5+75=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[5, 60, 87, 72], Operations: []
Exploring Operation: 72-60=12, Resulting Numbers: [5, 87, 12]
Generated Node #0,2: 80:[5, 87, 12] Operation: 72-60=12
Moving to Node #0,2
Current State: 80:[5, 87, 12], Operations: ['72-60=12']
Exploring Operation: 87-12=75, Resulting Numbers: [5, 75]
Generated Node #0,2,0: 80:[5, 75] Operation: 87-12=75
Moving to Node #0,2,0
Current State: 80:[5, 75], Operations: ['72-60=12', '87-12=75']
Exploring Operation: 5+75=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
34,
24,
55,
4
] | 15 | [
"34-24=10",
"4*10=40",
"55-40=15"
] | Current State: 15:[34, 24, 55, 4], Operations: []
Exploring Operation: 34-24=10, Resulting Numbers: [55, 4, 10]
Generated Node #2: [55, 4, 10] from Operation: 34-24=10
Current State: 15:[55, 4, 10], Operations: ['34-24=10']
Exploring Operation: 4*10=40, Resulting Numbers: [55, 40]
Generated Node #3: [55, 40] from Operation: 4*10=40
Current State: 15:[55, 40], Operations: ['34-24=10', '4*10=40']
Exploring Operation: 55-40=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[34, 24, 55, 4], Operations: []
Exploring Operation: 55-24=31, Resulting Numbers: [34, 4, 31]
Generated Node #0,0: 15:[34, 4, 31] Operation: 55-24=31
Exploring Operation: 55-34=21, Resulting Numbers: [24, 4, 21]
Generated Node #0,1: 15:[24, 4, 21] Operation: 55-34=21
Moving to Node #0,1
Current State: 15:[24, 4, 21], Operations: ['55-34=21']
Exploring Operation: 24-21=3, Resulting Numbers: [4, 3]
Generated Node #0,1,0: 15:[4, 3] Operation: 24-21=3
Exploring Operation: 24/4=6, Resulting Numbers: [21, 6]
Generated Node #0,1,1: 15:[21, 6] Operation: 24/4=6
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[4, 3], Operations: ['55-34=21', '24-21=3']
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,15 unequal: No Solution
No 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: 15:[21, 6], Operations: ['55-34=21', '24/4=6']
Exploring Operation: 21+6=27, Resulting Numbers: [27]
27,15 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[34, 24, 55, 4], Operations: []
Exploring Operation: 55-34=21, Resulting Numbers: [24, 4, 21]
Generated Node #0,1: 15:[24, 4, 21] Operation: 55-34=21
Moving to Node #0,1
Current State: 15:[24, 4, 21], Operations: ['55-34=21']
Exploring Operation: 24/4=6, Resulting Numbers: [21, 6]
Generated Node #0,1,1: 15:[21, 6] Operation: 24/4=6
Moving to Node #0,1,1
Current State: 15:[21, 6], Operations: ['55-34=21', '24/4=6']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
69,
75,
4,
49
] | 38 | [
"75+49=124",
"124/4=31",
"69-31=38"
] | Current State: 38:[69, 75, 4, 49], Operations: []
Exploring Operation: 75+49=124, Resulting Numbers: [69, 4, 124]
Generated Node #2: [69, 4, 124] from Operation: 75+49=124
Current State: 38:[69, 4, 124], Operations: ['75+49=124']
Exploring Operation: 124/4=31, Resulting Numbers: [69, 31]
Generated Node #3: [69, 31] from Operation: 124/4=31
Current State: 38:[69, 31], Operations: ['75+49=124', '124/4=31']
Exploring Operation: 69-31=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[69, 75, 4, 49], Operations: []
Exploring Operation: 75-69=6, Resulting Numbers: [4, 49, 6]
Generated Node #0,0: 38:[4, 49, 6] Operation: 75-69=6
Moving to Node #0,0
Current State: 38:[4, 49, 6], Operations: ['75-69=6']
Exploring Operation: 49-6=43, Resulting Numbers: [4, 43]
Generated Node #0,0,0: 38:[4, 43] Operation: 49-6=43
Moving to Node #0,0,0
Current State: 38:[4, 43], Operations: ['75-69=6', '49-6=43']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,38 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
77,
68,
40,
54
] | 85 | [
"77-68=9",
"40+54=94",
"94-9=85"
] | Current State: 85:[77, 68, 40, 54], Operations: []
Exploring Operation: 77-68=9, Resulting Numbers: [40, 54, 9]
Generated Node #2: [40, 54, 9] from Operation: 77-68=9
Current State: 85:[40, 54, 9], Operations: ['77-68=9']
Exploring Operation: 40+54=94, Resulting Numbers: [9, 94]
Generated Node #3: [9, 94] from Operation: 40+54=94
Current State: 85:[9, 94], Operations: ['77-68=9', '40+54=94']
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[77, 68, 40, 54], Operations: []
Exploring Operation: 54-40=14, Resulting Numbers: [77, 68, 14]
Generated Node #0,0: 85:[77, 68, 14] Operation: 54-40=14
Exploring Operation: 68-54=14, Resulting Numbers: [77, 40, 14]
Generated Node #0,1: 85:[77, 40, 14] Operation: 68-54=14
Exploring Operation: 40+54=94, Resulting Numbers: [77, 68, 94]
Generated Node #0,2: 85:[77, 68, 94] Operation: 40+54=94
Start Sub Search at level 1: Moving to Node #0,0
Current State: 85:[77, 68, 14], Operations: ['54-40=14']
Exploring Operation: 77-68=9, Resulting Numbers: [14, 9]
Generated Node #0,0,0: 85:[14, 9] Operation: 77-68=9
Exploring Operation: 77+14=91, Resulting Numbers: [68, 91]
Generated Node #0,0,1: 85:[68, 91] Operation: 77+14=91
Exploring Operation: 68+14=82, Resulting Numbers: [77, 82]
Generated Node #0,0,2: 85:[77, 82] Operation: 68+14=82
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 85:[14, 9], Operations: ['54-40=14', '77-68=9']
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,85 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 14*9=126, Resulting Numbers: [126]
126,85 unequal: No Solution
No 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: 85:[77, 82], Operations: ['54-40=14', '68+14=82']
Exploring Operation: 82-77=5, Resulting Numbers: [5]
5,85 unequal: No Solution
Exploring Operation: 77+82=159, Resulting Numbers: [159]
159,85 unequal: No Solution
Exploring Operation: 77*82=6314, Resulting Numbers: [6314]
6314,85 unequal: No Solution
No 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: 85:[68, 91], Operations: ['54-40=14', '77+14=91']
Exploring Operation: 68+91=159, Resulting Numbers: [159]
159,85 unequal: No Solution
Exploring Operation: 68*91=6188, Resulting Numbers: [6188]
6188,85 unequal: No Solution
Exploring Operation: 91-68=23, Resulting Numbers: [23]
23,85 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: 85:[77, 40, 14], Operations: ['68-54=14']
Exploring Operation: 40-14=26, Resulting Numbers: [77, 26]
Generated Node #0,1,0: 85:[77, 26] Operation: 40-14=26
Exploring Operation: 77-40=37, Resulting Numbers: [14, 37]
Generated Node #0,1,1: 85:[14, 37] Operation: 77-40=37
Exploring Operation: 77+14=91, Resulting Numbers: [40, 91]
Generated Node #0,1,2: 85:[40, 91] Operation: 77+14=91
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 85:[77, 26], Operations: ['68-54=14', '40-14=26']
Exploring Operation: 77+26=103, Resulting Numbers: [103]
103,85 unequal: No Solution
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,85 unequal: No Solution
Exploring Operation: 77*26=2002, Resulting Numbers: [2002]
2002,85 unequal: No Solution
No 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: 85:[14, 37], Operations: ['68-54=14', '77-40=37']
Exploring Operation: 14*37=518, Resulting Numbers: [518]
518,85 unequal: No Solution
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,85 unequal: No Solution
Exploring Operation: 14+37=51, Resulting Numbers: [51]
51,85 unequal: No Solution
No 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: 85:[40, 91], Operations: ['68-54=14', '77+14=91']
Exploring Operation: 40*91=3640, Resulting Numbers: [3640]
3640,85 unequal: No Solution
Exploring Operation: 91-40=51, Resulting Numbers: [51]
51,85 unequal: No Solution
Exploring Operation: 40+91=131, Resulting Numbers: [131]
131,85 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: 85:[77, 68, 94], Operations: ['40+54=94']
Exploring Operation: 94-68=26, Resulting Numbers: [77, 26]
Generated Node #0,2,0: 85:[77, 26] Operation: 94-68=26
Exploring Operation: 94-77=17, Resulting Numbers: [68, 17]
Generated Node #0,2,1: 85:[68, 17] Operation: 94-77=17
Exploring Operation: 77-68=9, Resulting Numbers: [94, 9]
Generated Node #0,2,2: 85:[94, 9] Operation: 77-68=9
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 85:[94, 9], Operations: ['40+54=94', '77-68=9']
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[77, 68, 40, 54], Operations: []
Exploring Operation: 40+54=94, Resulting Numbers: [77, 68, 94]
Generated Node #0,2: 85:[77, 68, 94] Operation: 40+54=94
Moving to Node #0,2
Current State: 85:[77, 68, 94], Operations: ['40+54=94']
Exploring Operation: 77-68=9, Resulting Numbers: [94, 9]
Generated Node #0,2,2: 85:[94, 9] Operation: 77-68=9
Moving to Node #0,2,2
Current State: 85:[94, 9], Operations: ['40+54=94', '77-68=9']
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 | hs_3 | sum_heuristic |
[
10,
63,
96,
2
] | 75 | [
"10-2=8",
"96/8=12",
"63+12=75"
] | Current State: 75:[10, 63, 96, 2], Operations: []
Exploring Operation: 10-2=8, Resulting Numbers: [63, 96, 8]
Generated Node #2: [63, 96, 8] from Operation: 10-2=8
Current State: 75:[63, 96, 8], Operations: ['10-2=8']
Exploring Operation: 96/8=12, Resulting Numbers: [63, 12]
Generated Node #3: [63, 12] from Operation: 96/8=12
Current State: 75:[63, 12], Operations: ['10-2=8', '96/8=12']
Exploring Operation: 63+12=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[10, 63, 96, 2], Operations: []
Exploring Operation: 10+63=73, Resulting Numbers: [96, 2, 73]
Generated Node #0,0: 75:[96, 2, 73] Operation: 10+63=73
Exploring Operation: 96-63=33, Resulting Numbers: [10, 2, 33]
Generated Node #0,1: 75:[10, 2, 33] Operation: 96-63=33
Exploring Operation: 96-10=86, Resulting Numbers: [63, 2, 86]
Generated Node #0,2: 75:[63, 2, 86] Operation: 96-10=86
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[10, 2, 33], Operations: ['96-63=33']
Exploring Operation: 10+2=12, Resulting Numbers: [33, 12]
Generated Node #0,1,0: 75:[33, 12] Operation: 10+2=12
Exploring Operation: 10/2=5, Resulting Numbers: [33, 5]
Generated Node #0,1,1: 75:[33, 5] Operation: 10/2=5
Exploring Operation: 33-10=23, Resulting Numbers: [2, 23]
Generated Node #0,1,2: 75:[2, 23] Operation: 33-10=23
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 75:[2, 23], Operations: ['96-63=33', '33-10=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,75 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,75 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 75:[33, 5], Operations: ['96-63=33', '10/2=5']
Exploring Operation: 33+5=38, Resulting Numbers: [38]
38,75 unequal: No Solution
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Exploring Operation: 33*5=165, Resulting Numbers: [165]
165,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 75:[33, 12], Operations: ['96-63=33', '10+2=12']
Exploring Operation: 33+12=45, Resulting Numbers: [45]
45,75 unequal: No Solution
Exploring Operation: 33*12=396, Resulting Numbers: [396]
396,75 unequal: No Solution
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[96, 2, 73], Operations: ['10+63=73']
Exploring Operation: 2+73=75, Resulting Numbers: [96, 75]
Generated Node #0,0,0: 75:[96, 75] Operation: 2+73=75
Exploring Operation: 96-73=23, Resulting Numbers: [2, 23]
Generated Node #0,0,1: 75:[2, 23] Operation: 96-73=23
Exploring Operation: 96-2=94, Resulting Numbers: [73, 94]
Generated Node #0,0,2: 75:[73, 94] Operation: 96-2=94
Moving to Node #0,0,1
Current State: 75:[2, 23], Operations: ['10+63=73', '96-73=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,75 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,75 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[96, 75], Operations: ['10+63=73', '2+73=75']
Exploring Operation: 96*75=7200, Resulting Numbers: [7200]
7200,75 unequal: No Solution
Exploring Operation: 96+75=171, Resulting Numbers: [171]
171,75 unequal: No Solution
Exploring Operation: 96-75=21, Resulting Numbers: [21]
21,75 unequal: No Solution
Moving to Node #0,0,2
Current State: 75:[73, 94], Operations: ['10+63=73', '96-2=94']
Exploring Operation: 73*94=6862, Resulting Numbers: [6862]
6862,75 unequal: No Solution
Exploring Operation: 73+94=167, Resulting Numbers: [167]
167,75 unequal: No Solution
Exploring Operation: 94-73=21, Resulting Numbers: [21]
21,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[63, 2, 86], Operations: ['96-10=86']
Exploring Operation: 63+2=65, Resulting Numbers: [86, 65]
Generated Node #0,2,0: 75:[86, 65] Operation: 63+2=65
Exploring Operation: 86-2=84, Resulting Numbers: [63, 84]
Generated Node #0,2,1: 75:[63, 84] Operation: 86-2=84
Exploring Operation: 86-63=23, Resulting Numbers: [2, 23]
Generated Node #0,2,2: 75:[2, 23] Operation: 86-63=23
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 75:[2, 23], Operations: ['96-10=86', '86-63=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,75 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,75 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 75:[86, 65], Operations: ['96-10=86', '63+2=65']
Exploring Operation: 86+65=151, Resulting Numbers: [151]
151,75 unequal: No Solution
Exploring Operation: 86*65=5590, Resulting Numbers: [5590]
5590,75 unequal: No Solution
Exploring Operation: 86-65=21, Resulting Numbers: [21]
21,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 75:[63, 84], Operations: ['96-10=86', '86-2=84']
Exploring Operation: 63+84=147, Resulting Numbers: [147]
147,75 unequal: No Solution
Exploring Operation: 84-63=21, Resulting Numbers: [21]
21,75 unequal: No Solution
Exploring Operation: 63*84=5292, Resulting Numbers: [5292]
5292,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
4,
3,
7,
29
] | 41 | [
"4*29=116",
"7+116=123",
"123/3=41"
] | Current State: 41:[4, 3, 7, 29], Operations: []
Exploring Operation: 4*29=116, Resulting Numbers: [3, 7, 116]
Generated Node #2: [3, 7, 116] from Operation: 4*29=116
Current State: 41:[3, 7, 116], Operations: ['4*29=116']
Exploring Operation: 7+116=123, Resulting Numbers: [3, 123]
Generated Node #3: [3, 123] from Operation: 7+116=123
Current State: 41:[3, 123], Operations: ['4*29=116', '7+116=123']
Exploring Operation: 123/3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[4, 3, 7, 29], Operations: []
Exploring Operation: 4*7=28, Resulting Numbers: [3, 29, 28]
Generated Node #0,0: 41:[3, 29, 28] Operation: 4*7=28
Moving to Node #0,0
Current State: 41:[3, 29, 28], Operations: ['4*7=28']
Exploring Operation: 3+29=32, Resulting Numbers: [28, 32]
Generated Node #0,0,0: 41:[28, 32] Operation: 3+29=32
Moving to Node #0,0,0
Current State: 41:[28, 32], Operations: ['4*7=28', '3+29=32']
Exploring Operation: 28+32=60, Resulting Numbers: [60]
60,41 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
15,
16,
54,
7
] | 42 | [
"15*16=240",
"54+240=294",
"294/7=42"
] | Current State: 42:[15, 16, 54, 7], Operations: []
Exploring Operation: 15*16=240, Resulting Numbers: [54, 7, 240]
Generated Node #2: [54, 7, 240] from Operation: 15*16=240
Current State: 42:[54, 7, 240], Operations: ['15*16=240']
Exploring Operation: 54+240=294, Resulting Numbers: [7, 294]
Generated Node #3: [7, 294] from Operation: 54+240=294
Current State: 42:[7, 294], Operations: ['15*16=240', '54+240=294']
Exploring Operation: 294/7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[15, 16, 54, 7], Operations: []
Exploring Operation: 54-15=39, Resulting Numbers: [16, 7, 39]
Generated Node #0,0: 42:[16, 7, 39] Operation: 54-15=39
Moving to Node #0,0
Current State: 42:[16, 7, 39], Operations: ['54-15=39']
Exploring Operation: 39-16=23, Resulting Numbers: [7, 23]
Generated Node #0,0,0: 42:[7, 23] Operation: 39-16=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 42:[7, 23], Operations: ['54-15=39', '39-16=23']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,42 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 |
[
18,
85,
23,
90
] | 96 | [
"85+23=108",
"108/18=6",
"90+6=96"
] | Current State: 96:[18, 85, 23, 90], Operations: []
Exploring Operation: 85+23=108, Resulting Numbers: [18, 90, 108]
Generated Node #2: [18, 90, 108] from Operation: 85+23=108
Current State: 96:[18, 90, 108], Operations: ['85+23=108']
Exploring Operation: 108/18=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 108/18=6
Current State: 96:[90, 6], Operations: ['85+23=108', '108/18=6']
Exploring Operation: 90+6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[18, 85, 23, 90], Operations: []
Exploring Operation: 90-85=5, Resulting Numbers: [18, 23, 5]
Generated Node #0,0: 96:[18, 23, 5] Operation: 90-85=5
Moving to Node #0,0
Current State: 96:[18, 23, 5], Operations: ['90-85=5']
Exploring Operation: 23-18=5, Resulting Numbers: [5, 5]
Generated Node #0,0,0: 96:[5, 5] Operation: 23-18=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[5, 5], Operations: ['90-85=5', '23-18=5']
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,96 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 |
[
84,
36,
26,
76
] | 80 | [
"84-76=8",
"36-26=10",
"8*10=80"
] | Current State: 80:[84, 36, 26, 76], Operations: []
Exploring Operation: 84-76=8, Resulting Numbers: [36, 26, 8]
Generated Node #2: [36, 26, 8] from Operation: 84-76=8
Current State: 80:[36, 26, 8], Operations: ['84-76=8']
Exploring Operation: 36-26=10, Resulting Numbers: [8, 10]
Generated Node #3: [8, 10] from Operation: 36-26=10
Current State: 80:[8, 10], Operations: ['84-76=8', '36-26=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[84, 36, 26, 76], Operations: []
Exploring Operation: 36-26=10, Resulting Numbers: [84, 76, 10]
Generated Node #0,0: 80:[84, 76, 10] Operation: 36-26=10
Moving to Node #0,0
Current State: 80:[84, 76, 10], Operations: ['36-26=10']
Exploring Operation: 84-76=8, Resulting Numbers: [10, 8]
Generated Node #0,0,0: 80:[10, 8] Operation: 84-76=8
Moving to Node #0,0,0
Current State: 80:[10, 8], Operations: ['36-26=10', '84-76=8']
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[84, 36, 26, 76], Operations: []
Exploring Operation: 36-26=10, Resulting Numbers: [84, 76, 10]
Generated Node #0,0: 80:[84, 76, 10] Operation: 36-26=10
Moving to Node #0,0
Current State: 80:[84, 76, 10], Operations: ['36-26=10']
Exploring Operation: 84-76=8, Resulting Numbers: [10, 8]
Generated Node #0,0,0: 80:[10, 8] Operation: 84-76=8
Moving to Node #0,0,0
Current State: 80:[10, 8], Operations: ['36-26=10', '84-76=8']
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
79,
99,
66,
13
] | 98 | [
"79-66=13",
"13/13=1",
"99-1=98"
] | Current State: 98:[79, 99, 66, 13], Operations: []
Exploring Operation: 79-66=13, Resulting Numbers: [99, 13, 13]
Generated Node #2: [99, 13, 13] from Operation: 79-66=13
Current State: 98:[99, 13, 13], Operations: ['79-66=13']
Exploring Operation: 13/13=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 13/13=1
Current State: 98:[99, 1], Operations: ['79-66=13', '13/13=1']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[79, 99, 66, 13], Operations: []
Exploring Operation: 66-13=53, Resulting Numbers: [79, 99, 53]
Generated Node #0,0: 98:[79, 99, 53] Operation: 66-13=53
Exploring Operation: 79-66=13, Resulting Numbers: [99, 13, 13]
Generated Node #0,1: 98:[99, 13, 13] Operation: 79-66=13
Exploring Operation: 99-79=20, Resulting Numbers: [66, 13, 20]
Generated Node #0,2: 98:[66, 13, 20] Operation: 99-79=20
Exploring Operation: 79+13=92, Resulting Numbers: [99, 66, 92]
Generated Node #0,3: 98:[99, 66, 92] Operation: 79+13=92
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[99, 13, 13], Operations: ['79-66=13']
Exploring Operation: 99-13=86, Resulting Numbers: [13, 86]
Generated Node #0,1,0: 98:[13, 86] Operation: 99-13=86
Exploring Operation: 13/13=1, Resulting Numbers: [99, 1]
Generated Node #0,1,1: 98:[99, 1] Operation: 13/13=1
Exploring Operation: 13-13=0, Resulting Numbers: [99, 0]
Generated Node #0,1,2: 98:[99, 0] Operation: 13-13=0
Exploring Operation: 99-13=86, Resulting Numbers: [13, 86]
Generated Node #0,1,3: 98:[13, 86] Operation: 99-13=86
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 98:[99, 1], Operations: ['79-66=13', '13/13=1']
Exploring Operation: 99/1=99, Resulting Numbers: [99]
99,98 unequal: No Solution
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[79, 99, 66, 13], Operations: []
Exploring Operation: 79-66=13, Resulting Numbers: [99, 13, 13]
Generated Node #0,1: 98:[99, 13, 13] Operation: 79-66=13
Moving to Node #0,1
Current State: 98:[99, 13, 13], Operations: ['79-66=13']
Exploring Operation: 13/13=1, Resulting Numbers: [99, 1]
Generated Node #0,1,1: 98:[99, 1] Operation: 13/13=1
Moving to Node #0,1,1
Current State: 98:[99, 1], Operations: ['79-66=13', '13/13=1']
Exploring Operation: 99-1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
98,
13,
22,
98
] | 36 | [
"98/98=1",
"13+22=35",
"1+35=36"
] | Current State: 36:[98, 13, 22, 98], Operations: []
Exploring Operation: 98/98=1, Resulting Numbers: [13, 22, 1]
Generated Node #2: [13, 22, 1] from Operation: 98/98=1
Current State: 36:[13, 22, 1], Operations: ['98/98=1']
Exploring Operation: 13+22=35, Resulting Numbers: [1, 35]
Generated Node #3: [1, 35] from Operation: 13+22=35
Current State: 36:[1, 35], Operations: ['98/98=1', '13+22=35']
Exploring Operation: 1+35=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[98, 13, 22, 98], Operations: []
Exploring Operation: 98/98=1, Resulting Numbers: [13, 22, 1]
Generated Node #0,0: 36:[13, 22, 1] Operation: 98/98=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[13, 22, 1], Operations: ['98/98=1']
Exploring Operation: 22-13=9, Resulting Numbers: [1, 9]
Generated Node #0,0,0: 36:[1, 9] Operation: 22-13=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 36:[1, 9], Operations: ['98/98=1', '22-13=9']
Exploring Operation: 1*9=9, Resulting Numbers: [9]
9,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
89,
58,
30,
35
] | 35 | [
"89-58=31",
"31-30=1",
"35*1=35"
] | Current State: 35:[89, 58, 30, 35], Operations: []
Exploring Operation: 89-58=31, Resulting Numbers: [30, 35, 31]
Generated Node #2: [30, 35, 31] from Operation: 89-58=31
Current State: 35:[30, 35, 31], Operations: ['89-58=31']
Exploring Operation: 31-30=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 31-30=1
Current State: 35:[35, 1], Operations: ['89-58=31', '31-30=1']
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[89, 58, 30, 35], Operations: []
Exploring Operation: 58-30=28, Resulting Numbers: [89, 35, 28]
Generated Node #0,0: 35:[89, 35, 28] Operation: 58-30=28
Exploring Operation: 89-30=59, Resulting Numbers: [58, 35, 59]
Generated Node #0,1: 35:[58, 35, 59] Operation: 89-30=59
Exploring Operation: 89-35=54, Resulting Numbers: [58, 30, 54]
Generated Node #0,2: 35:[58, 30, 54] Operation: 89-35=54
Exploring Operation: 89-58=31, Resulting Numbers: [30, 35, 31]
Generated Node #0,3: 35:[30, 35, 31] Operation: 89-58=31
Moving to Node #0,3
Current State: 35:[30, 35, 31], Operations: ['89-58=31']
Exploring Operation: 30+31=61, Resulting Numbers: [35, 61]
Generated Node #0,3,0: 35:[35, 61] Operation: 30+31=61
Exploring Operation: 31-30=1, Resulting Numbers: [35, 1]
Generated Node #0,3,1: 35:[35, 1] Operation: 31-30=1
Exploring Operation: 35-30=5, Resulting Numbers: [31, 5]
Generated Node #0,3,2: 35:[31, 5] Operation: 35-30=5
Exploring Operation: 35-31=4, Resulting Numbers: [30, 4]
Generated Node #0,3,3: 35:[30, 4] Operation: 35-31=4
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 35:[35, 1], Operations: ['89-58=31', '31-30=1']
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[89, 58, 30, 35], Operations: []
Exploring Operation: 89-58=31, Resulting Numbers: [30, 35, 31]
Generated Node #0,3: 35:[30, 35, 31] Operation: 89-58=31
Moving to Node #0,3
Current State: 35:[30, 35, 31], Operations: ['89-58=31']
Exploring Operation: 31-30=1, Resulting Numbers: [35, 1]
Generated Node #0,3,1: 35:[35, 1] Operation: 31-30=1
Moving to Node #0,3,1
Current State: 35:[35, 1], Operations: ['89-58=31', '31-30=1']
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
81,
27,
21,
30
] | 12 | [
"81+27=108",
"30-21=9",
"108/9=12"
] | Current State: 12:[81, 27, 21, 30], Operations: []
Exploring Operation: 81+27=108, Resulting Numbers: [21, 30, 108]
Generated Node #2: [21, 30, 108] from Operation: 81+27=108
Current State: 12:[21, 30, 108], Operations: ['81+27=108']
Exploring Operation: 30-21=9, Resulting Numbers: [108, 9]
Generated Node #3: [108, 9] from Operation: 30-21=9
Current State: 12:[108, 9], Operations: ['81+27=108', '30-21=9']
Exploring Operation: 108/9=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[81, 27, 21, 30], Operations: []
Exploring Operation: 81/27=3, Resulting Numbers: [21, 30, 3]
Generated Node #0,0: 12:[21, 30, 3] Operation: 81/27=3
Exploring Operation: 81-30=51, Resulting Numbers: [27, 21, 51]
Generated Node #0,1: 12:[27, 21, 51] Operation: 81-30=51
Moving to Node #0,0
Current State: 12:[21, 30, 3], Operations: ['81/27=3']
Exploring Operation: 30/3=10, Resulting Numbers: [21, 10]
Generated Node #0,0,0: 12:[21, 10] Operation: 30/3=10
Exploring Operation: 30-21=9, Resulting Numbers: [3, 9]
Generated Node #0,0,1: 12:[3, 9] Operation: 30-21=9
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 12:[3, 9], Operations: ['81/27=3', '30-21=9']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[81, 27, 21, 30], Operations: []
Exploring Operation: 81/27=3, Resulting Numbers: [21, 30, 3]
Generated Node #0,0: 12:[21, 30, 3] Operation: 81/27=3
Moving to Node #0,0
Current State: 12:[21, 30, 3], Operations: ['81/27=3']
Exploring Operation: 30-21=9, Resulting Numbers: [3, 9]
Generated Node #0,0,1: 12:[3, 9] Operation: 30-21=9
Moving to Node #0,0,1
Current State: 12:[3, 9], Operations: ['81/27=3', '30-21=9']
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
27,
14,
70,
38
] | 95 | [
"27-14=13",
"70+38=108",
"108-13=95"
] | Current State: 95:[27, 14, 70, 38], Operations: []
Exploring Operation: 27-14=13, Resulting Numbers: [70, 38, 13]
Generated Node #2: [70, 38, 13] from Operation: 27-14=13
Current State: 95:[70, 38, 13], Operations: ['27-14=13']
Exploring Operation: 70+38=108, Resulting Numbers: [13, 108]
Generated Node #3: [13, 108] from Operation: 70+38=108
Current State: 95:[13, 108], Operations: ['27-14=13', '70+38=108']
Exploring Operation: 108-13=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[27, 14, 70, 38], Operations: []
Exploring Operation: 70/14=5, Resulting Numbers: [27, 38, 5]
Generated Node #0,0: 95:[27, 38, 5] Operation: 70/14=5
Exploring Operation: 27+70=97, Resulting Numbers: [14, 38, 97]
Generated Node #0,1: 95:[14, 38, 97] Operation: 27+70=97
Exploring Operation: 70+38=108, Resulting Numbers: [27, 14, 108]
Generated Node #0,2: 95:[27, 14, 108] Operation: 70+38=108
Exploring Operation: 70-38=32, Resulting Numbers: [27, 14, 32]
Generated Node #0,3: 95:[27, 14, 32] Operation: 70-38=32
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[14, 38, 97], Operations: ['27+70=97']
Exploring Operation: 14+38=52, Resulting Numbers: [97, 52]
Generated Node #0,1,0: 95:[97, 52] Operation: 14+38=52
Exploring Operation: 97-14=83, Resulting Numbers: [38, 83]
Generated Node #0,1,1: 95:[38, 83] Operation: 97-14=83
Exploring Operation: 14+97=111, Resulting Numbers: [38, 111]
Generated Node #0,1,2: 95:[38, 111] Operation: 14+97=111
Exploring Operation: 38-14=24, Resulting Numbers: [97, 24]
Generated Node #0,1,3: 95:[97, 24] Operation: 38-14=24
Moving to Node #0,1,3
Current State: 95:[97, 24], Operations: ['27+70=97', '38-14=24']
Exploring Operation: 97-24=73, Resulting Numbers: [73]
73,95 unequal: No Solution
Exploring Operation: 97*24=2328, Resulting Numbers: [2328]
2328,95 unequal: No Solution
Exploring Operation: 97+24=121, Resulting Numbers: [121]
121,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[38, 83], Operations: ['27+70=97', '97-14=83']
Exploring Operation: 38+83=121, Resulting Numbers: [121]
121,95 unequal: No Solution
Exploring Operation: 83-38=45, Resulting Numbers: [45]
45,95 unequal: No Solution
Exploring Operation: 38*83=3154, Resulting Numbers: [3154]
3154,95 unequal: No Solution
Moving to Node #0,1,2
Current State: 95:[38, 111], Operations: ['27+70=97', '14+97=111']
Exploring Operation: 38*111=4218, Resulting Numbers: [4218]
4218,95 unequal: No Solution
Exploring Operation: 111-38=73, Resulting Numbers: [73]
73,95 unequal: No Solution
Exploring Operation: 38+111=149, Resulting Numbers: [149]
149,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[97, 52], Operations: ['27+70=97', '14+38=52']
Exploring Operation: 97+52=149, Resulting Numbers: [149]
149,95 unequal: No Solution
Exploring Operation: 97*52=5044, Resulting Numbers: [5044]
5044,95 unequal: No Solution
Exploring Operation: 97-52=45, Resulting Numbers: [45]
45,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[27, 14, 108], Operations: ['70+38=108']
Exploring Operation: 108-27=81, Resulting Numbers: [14, 81]
Generated Node #0,2,0: 95:[14, 81] Operation: 108-27=81
Exploring Operation: 108-14=94, Resulting Numbers: [27, 94]
Generated Node #0,2,1: 95:[27, 94] Operation: 108-14=94
Exploring Operation: 108/27=4, Resulting Numbers: [14, 4]
Generated Node #0,2,2: 95:[14, 4] Operation: 108/27=4
Exploring Operation: 27-14=13, Resulting Numbers: [108, 13]
Generated Node #0,2,3: 95:[108, 13] Operation: 27-14=13
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 95:[14, 4], Operations: ['70+38=108', '108/27=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,95 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 95:[27, 94], Operations: ['70+38=108', '108-14=94']
Exploring Operation: 94-27=67, Resulting Numbers: [67]
67,95 unequal: No Solution
Exploring Operation: 27+94=121, Resulting Numbers: [121]
121,95 unequal: No Solution
Exploring Operation: 27*94=2538, Resulting Numbers: [2538]
2538,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 95:[14, 81], Operations: ['70+38=108', '108-27=81']
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,95 unequal: No Solution
Exploring Operation: 14*81=1134, Resulting Numbers: [1134]
1134,95 unequal: No Solution
Exploring Operation: 14+81=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[27, 14, 70, 38], Operations: []
Exploring Operation: 70+38=108, Resulting Numbers: [27, 14, 108]
Generated Node #0,2: 95:[27, 14, 108] Operation: 70+38=108
Moving to Node #0,2
Current State: 95:[27, 14, 108], Operations: ['70+38=108']
Exploring Operation: 108-27=81, Resulting Numbers: [14, 81]
Generated Node #0,2,0: 95:[14, 81] Operation: 108-27=81
Moving to Node #0,2,0
Current State: 95:[14, 81], Operations: ['70+38=108', '108-27=81']
Exploring Operation: 14+81=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_4 | sum_heuristic |
[
57,
92,
70,
58
] | 56 | [
"92-57=35",
"70/35=2",
"58-2=56"
] | Current State: 56:[57, 92, 70, 58], Operations: []
Exploring Operation: 92-57=35, Resulting Numbers: [70, 58, 35]
Generated Node #2: [70, 58, 35] from Operation: 92-57=35
Current State: 56:[70, 58, 35], Operations: ['92-57=35']
Exploring Operation: 70/35=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 70/35=2
Current State: 56:[58, 2], Operations: ['92-57=35', '70/35=2']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[57, 92, 70, 58], Operations: []
Exploring Operation: 70-57=13, Resulting Numbers: [92, 58, 13]
Generated Node #0,0: 56:[92, 58, 13] Operation: 70-57=13
Exploring Operation: 92-58=34, Resulting Numbers: [57, 70, 34]
Generated Node #0,1: 56:[57, 70, 34] Operation: 92-58=34
Exploring Operation: 92-70=22, Resulting Numbers: [57, 58, 22]
Generated Node #0,2: 56:[57, 58, 22] Operation: 92-70=22
Exploring Operation: 92-57=35, Resulting Numbers: [70, 58, 35]
Generated Node #0,3: 56:[70, 58, 35] Operation: 92-57=35
Start Sub Search at level 1: Moving to Node #0,2
Current State: 56:[57, 58, 22], Operations: ['92-70=22']
Exploring Operation: 58-57=1, Resulting Numbers: [22, 1]
Generated Node #0,2,0: 56:[22, 1] Operation: 58-57=1
Exploring Operation: 58-22=36, Resulting Numbers: [57, 36]
Generated Node #0,2,1: 56:[57, 36] Operation: 58-22=36
Exploring Operation: 57+22=79, Resulting Numbers: [58, 79]
Generated Node #0,2,2: 56:[58, 79] Operation: 57+22=79
Exploring Operation: 57-22=35, Resulting Numbers: [58, 35]
Generated Node #0,2,3: 56:[58, 35] Operation: 57-22=35
Moving to Node #0,2,0
Current State: 56:[22, 1], Operations: ['92-70=22', '58-57=1']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,56 unequal: No Solution
Exploring Operation: 22+1=23, Resulting Numbers: [23]
23,56 unequal: No Solution
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,56 unequal: No Solution
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,56 unequal: No Solution
Moving to Node #0,2,3
Current State: 56:[58, 35], Operations: ['92-70=22', '57-22=35']
Exploring Operation: 58*35=2030, Resulting Numbers: [2030]
2030,56 unequal: No Solution
Exploring Operation: 58+35=93, Resulting Numbers: [93]
93,56 unequal: No Solution
Exploring Operation: 58-35=23, Resulting Numbers: [23]
23,56 unequal: No Solution
Moving to Node #0,2,1
Current State: 56:[57, 36], Operations: ['92-70=22', '58-22=36']
Exploring Operation: 57+36=93, Resulting Numbers: [93]
93,56 unequal: No Solution
Exploring Operation: 57*36=2052, Resulting Numbers: [2052]
2052,56 unequal: No Solution
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,56 unequal: No Solution
Moving to Node #0,2,2
Current State: 56:[58, 79], Operations: ['92-70=22', '57+22=79']
Exploring Operation: 79-58=21, Resulting Numbers: [21]
21,56 unequal: No Solution
Exploring Operation: 58*79=4582, Resulting Numbers: [4582]
4582,56 unequal: No Solution
Exploring Operation: 58+79=137, Resulting Numbers: [137]
137,56 unequal: No Solution
No 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:[57, 70, 34], Operations: ['92-58=34']
Exploring Operation: 57+34=91, Resulting Numbers: [70, 91]
Generated Node #0,1,0: 56:[70, 91] Operation: 57+34=91
Exploring Operation: 57-34=23, Resulting Numbers: [70, 23]
Generated Node #0,1,1: 56:[70, 23] Operation: 57-34=23
Exploring Operation: 70-57=13, Resulting Numbers: [34, 13]
Generated Node #0,1,2: 56:[34, 13] Operation: 70-57=13
Exploring Operation: 70-34=36, Resulting Numbers: [57, 36]
Generated Node #0,1,3: 56:[57, 36] Operation: 70-34=36
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 56:[34, 13], Operations: ['92-58=34', '70-57=13']
Exploring Operation: 34+13=47, Resulting Numbers: [47]
47,56 unequal: No Solution
Exploring Operation: 34*13=442, Resulting Numbers: [442]
442,56 unequal: No Solution
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 56:[57, 36], Operations: ['92-58=34', '70-34=36']
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,56 unequal: No Solution
Exploring Operation: 57*36=2052, Resulting Numbers: [2052]
2052,56 unequal: No Solution
Exploring Operation: 57+36=93, Resulting Numbers: [93]
93,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 56:[70, 23], Operations: ['92-58=34', '57-34=23']
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,56 unequal: No Solution
Exploring Operation: 70*23=1610, Resulting Numbers: [1610]
1610,56 unequal: No Solution
Exploring Operation: 70+23=93, Resulting Numbers: [93]
93,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 56:[70, 91], Operations: ['92-58=34', '57+34=91']
Exploring Operation: 70+91=161, Resulting Numbers: [161]
161,56 unequal: No Solution
Exploring Operation: 70*91=6370, Resulting Numbers: [6370]
6370,56 unequal: No Solution
Exploring Operation: 91-70=21, Resulting Numbers: [21]
21,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 56:[70, 58, 35], Operations: ['92-57=35']
Exploring Operation: 70-58=12, Resulting Numbers: [35, 12]
Generated Node #0,3,0: 56:[35, 12] Operation: 70-58=12
Exploring Operation: 70-35=35, Resulting Numbers: [58, 35]
Generated Node #0,3,1: 56:[58, 35] Operation: 70-35=35
Exploring Operation: 70/35=2, Resulting Numbers: [58, 2]
Generated Node #0,3,2: 56:[58, 2] Operation: 70/35=2
Exploring Operation: 58-35=23, Resulting Numbers: [70, 23]
Generated Node #0,3,3: 56:[70, 23] Operation: 58-35=23
Moving to Node #0,3,2
Current State: 56:[58, 2], Operations: ['92-57=35', '70/35=2']
Exploring Operation: 58*2=116, Resulting Numbers: [116]
116,56 unequal: No Solution
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,56 unequal: No Solution
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[57, 92, 70, 58], Operations: []
Exploring Operation: 92-57=35, Resulting Numbers: [70, 58, 35]
Generated Node #0,3: 56:[70, 58, 35] Operation: 92-57=35
Moving to Node #0,3
Current State: 56:[70, 58, 35], Operations: ['92-57=35']
Exploring Operation: 70/35=2, Resulting Numbers: [58, 2]
Generated Node #0,3,2: 56:[58, 2] Operation: 70/35=2
Moving to Node #0,3,2
Current State: 56:[58, 2], Operations: ['92-57=35', '70/35=2']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.957465 | hs_4 | mult_heuristic |
[
20,
97,
82,
38
] | 73 | [
"20+97=117",
"82-38=44",
"117-44=73"
] | Current State: 73:[20, 97, 82, 38], Operations: []
Exploring Operation: 20+97=117, Resulting Numbers: [82, 38, 117]
Generated Node #2: [82, 38, 117] from Operation: 20+97=117
Current State: 73:[82, 38, 117], Operations: ['20+97=117']
Exploring Operation: 82-38=44, Resulting Numbers: [117, 44]
Generated Node #3: [117, 44] from Operation: 82-38=44
Current State: 73:[117, 44], Operations: ['20+97=117', '82-38=44']
Exploring Operation: 117-44=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[20, 97, 82, 38], Operations: []
Exploring Operation: 97-20=77, Resulting Numbers: [82, 38, 77]
Generated Node #0,0: 73:[82, 38, 77] Operation: 97-20=77
Exploring Operation: 20+38=58, Resulting Numbers: [97, 82, 58]
Generated Node #0,1: 73:[97, 82, 58] Operation: 20+38=58
Moving to Node #0,0
Current State: 73:[82, 38, 77], Operations: ['97-20=77']
Exploring Operation: 82-38=44, Resulting Numbers: [77, 44]
Generated Node #0,0,0: 73:[77, 44] Operation: 82-38=44
Exploring Operation: 77-38=39, Resulting Numbers: [82, 39]
Generated Node #0,0,1: 73:[82, 39] Operation: 77-38=39
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[77, 44], Operations: ['97-20=77', '82-38=44']
Exploring Operation: 77-44=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 77+44=121, Resulting Numbers: [121]
121,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 73:[82, 39], Operations: ['97-20=77', '77-38=39']
Exploring Operation: 82-39=43, Resulting Numbers: [43]
43,73 unequal: No Solution
Exploring Operation: 82+39=121, Resulting Numbers: [121]
121,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 73:[97, 82, 58], Operations: ['20+38=58']
Exploring Operation: 97-58=39, Resulting Numbers: [82, 39]
Generated Node #0,1,0: 73:[82, 39] Operation: 97-58=39
Exploring Operation: 97-82=15, Resulting Numbers: [58, 15]
Generated Node #0,1,1: 73:[58, 15] Operation: 97-82=15
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[82, 39], Operations: ['20+38=58', '97-58=39']
Exploring Operation: 82-39=43, Resulting Numbers: [43]
43,73 unequal: No Solution
Exploring Operation: 82+39=121, Resulting Numbers: [121]
121,73 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 #0,1,1
Current State: 73:[58, 15], Operations: ['20+38=58', '97-82=15']
Exploring Operation: 58+15=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[20, 97, 82, 38], Operations: []
Exploring Operation: 20+38=58, Resulting Numbers: [97, 82, 58]
Generated Node #0,1: 73:[97, 82, 58] Operation: 20+38=58
Moving to Node #0,1
Current State: 73:[97, 82, 58], Operations: ['20+38=58']
Exploring Operation: 97-82=15, Resulting Numbers: [58, 15]
Generated Node #0,1,1: 73:[58, 15] Operation: 97-82=15
Moving to Node #0,1,1
Current State: 73:[58, 15], Operations: ['20+38=58', '97-82=15']
Exploring Operation: 58+15=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_2 | sum_heuristic |
[
90,
37,
50,
29
] | 30 | [
"90*29=2610",
"37+50=87",
"2610/87=30"
] | Current State: 30:[90, 37, 50, 29], Operations: []
Exploring Operation: 90*29=2610, Resulting Numbers: [37, 50, 2610]
Generated Node #2: [37, 50, 2610] from Operation: 90*29=2610
Current State: 30:[37, 50, 2610], Operations: ['90*29=2610']
Exploring Operation: 37+50=87, Resulting Numbers: [2610, 87]
Generated Node #3: [2610, 87] from Operation: 37+50=87
Current State: 30:[2610, 87], Operations: ['90*29=2610', '37+50=87']
Exploring Operation: 2610/87=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[90, 37, 50, 29], Operations: []
Exploring Operation: 90-37=53, Resulting Numbers: [50, 29, 53]
Generated Node #0,0: 30:[50, 29, 53] Operation: 90-37=53
Exploring Operation: 90-50=40, Resulting Numbers: [37, 29, 40]
Generated Node #0,1: 30:[37, 29, 40] Operation: 90-50=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[37, 29, 40], Operations: ['90-50=40']
Exploring Operation: 40-37=3, Resulting Numbers: [29, 3]
Generated Node #0,1,0: 30:[29, 3] Operation: 40-37=3
Exploring Operation: 40-29=11, Resulting Numbers: [37, 11]
Generated Node #0,1,1: 30:[37, 11] Operation: 40-29=11
Moving to Node #0,1,0
Current State: 30:[29, 3], Operations: ['90-50=40', '40-37=3']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,30 unequal: No Solution
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,30 unequal: No Solution
Moving to Node #0,1,1
Current State: 30:[37, 11], Operations: ['90-50=40', '40-29=11']
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,30 unequal: No Solution
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,30 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
Current State: 30:[50, 29, 53], Operations: ['90-37=53']
Exploring Operation: 53-29=24, Resulting Numbers: [50, 24]
Generated Node #0,0,0: 30:[50, 24] Operation: 53-29=24
Exploring Operation: 53-50=3, Resulting Numbers: [29, 3]
Generated Node #0,0,1: 30:[29, 3] Operation: 53-50=3
Moving to Node #0,0,1
Current State: 30:[29, 3], Operations: ['90-37=53', '53-50=3']
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,30 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,30 unequal: No Solution
Moving to Node #0,0,0
Current State: 30:[50, 24], Operations: ['90-37=53', '53-29=24']
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,30 unequal: No Solution
Exploring Operation: 50+24=74, Resulting Numbers: [74]
74,30 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 |
[
38,
7,
21,
35
] | 64 | [
"38+21=59",
"35/7=5",
"59+5=64"
] | Current State: 64:[38, 7, 21, 35], Operations: []
Exploring Operation: 38+21=59, Resulting Numbers: [7, 35, 59]
Generated Node #2: [7, 35, 59] from Operation: 38+21=59
Current State: 64:[7, 35, 59], Operations: ['38+21=59']
Exploring Operation: 35/7=5, Resulting Numbers: [59, 5]
Generated Node #3: [59, 5] from Operation: 35/7=5
Current State: 64:[59, 5], Operations: ['38+21=59', '35/7=5']
Exploring Operation: 59+5=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[38, 7, 21, 35], Operations: []
Exploring Operation: 38-7=31, Resulting Numbers: [21, 35, 31]
Generated Node #0,0: 64:[21, 35, 31] Operation: 38-7=31
Exploring Operation: 38-35=3, Resulting Numbers: [7, 21, 3]
Generated Node #0,1: 64:[7, 21, 3] Operation: 38-35=3
Exploring Operation: 38+21=59, Resulting Numbers: [7, 35, 59]
Generated Node #0,2: 64:[7, 35, 59] Operation: 38+21=59
Exploring Operation: 38-21=17, Resulting Numbers: [7, 35, 17]
Generated Node #0,3: 64:[7, 35, 17] Operation: 38-21=17
Moving to Node #0,3
Current State: 64:[7, 35, 17], Operations: ['38-21=17']
Exploring Operation: 35-17=18, Resulting Numbers: [7, 18]
Generated Node #0,3,0: 64:[7, 18] Operation: 35-17=18
Exploring Operation: 17-7=10, Resulting Numbers: [35, 10]
Generated Node #0,3,1: 64:[35, 10] Operation: 17-7=10
Exploring Operation: 35-7=28, Resulting Numbers: [17, 28]
Generated Node #0,3,2: 64:[17, 28] Operation: 35-7=28
Exploring Operation: 35/7=5, Resulting Numbers: [17, 5]
Generated Node #0,3,3: 64:[17, 5] Operation: 35/7=5
Moving to Node #0,1
Current State: 64:[7, 21, 3], Operations: ['38-35=3']
Exploring Operation: 21/7=3, Resulting Numbers: [3, 3]
Generated Node #0,1,0: 64:[3, 3] Operation: 21/7=3
Exploring Operation: 21-7=14, Resulting Numbers: [3, 14]
Generated Node #0,1,1: 64:[3, 14] Operation: 21-7=14
Exploring Operation: 21*3=63, Resulting Numbers: [7, 63]
Generated Node #0,1,2: 64:[7, 63] Operation: 21*3=63
Exploring Operation: 21/3=7, Resulting Numbers: [7, 7]
Generated Node #0,1,3: 64:[7, 7] Operation: 21/3=7
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 64:[3, 3], Operations: ['38-35=3', '21/7=3']
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,64 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,64 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 64:[7, 63], Operations: ['38-35=3', '21*3=63']
Exploring Operation: 7+63=70, Resulting Numbers: [70]
70,64 unequal: No Solution
Exploring Operation: 7*63=441, Resulting Numbers: [441]
441,64 unequal: No Solution
Exploring Operation: 63/7=9, Resulting Numbers: [9]
9,64 unequal: No Solution
Exploring Operation: 63-7=56, Resulting Numbers: [56]
56,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 64:[7, 7], Operations: ['38-35=3', '21/3=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,64 unequal: No Solution
Exploring Operation: 7-7=0, Resulting Numbers: [0]
0,64 unequal: No Solution
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 7/7=1, Resulting Numbers: [1]
1,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 64:[3, 14], Operations: ['38-35=3', '21-7=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,64 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 64:[7, 35, 59], Operations: ['38+21=59']
Exploring Operation: 35/7=5, Resulting Numbers: [59, 5]
Generated Node #0,2,0: 64:[59, 5] Operation: 35/7=5
Exploring Operation: 7+59=66, Resulting Numbers: [35, 66]
Generated Node #0,2,1: 64:[35, 66] Operation: 7+59=66
Exploring Operation: 35-7=28, Resulting Numbers: [59, 28]
Generated Node #0,2,2: 64:[59, 28] Operation: 35-7=28
Exploring Operation: 59-35=24, Resulting Numbers: [7, 24]
Generated Node #0,2,3: 64:[7, 24] Operation: 59-35=24
Moving to Node #0,0
Current State: 64:[21, 35, 31], Operations: ['38-7=31']
Exploring Operation: 35+31=66, Resulting Numbers: [21, 66]
Generated Node #0,0,0: 64:[21, 66] Operation: 35+31=66
Exploring Operation: 35-21=14, Resulting Numbers: [31, 14]
Generated Node #0,0,1: 64:[31, 14] Operation: 35-21=14
Exploring Operation: 35-31=4, Resulting Numbers: [21, 4]
Generated Node #0,0,2: 64:[21, 4] Operation: 35-31=4
Exploring Operation: 31-21=10, Resulting Numbers: [35, 10]
Generated Node #0,0,3: 64:[35, 10] Operation: 31-21=10
Moving to Node #0,3,3
Current State: 64:[17, 5], Operations: ['38-21=17', '35/7=5']
Exploring Operation: 17+5=22, Resulting Numbers: [22]
22,64 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,64 unequal: No Solution
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,64 unequal: No Solution
Moving to Node #0,3,0
Current State: 64:[7, 18], Operations: ['38-21=17', '35-17=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,64 unequal: No Solution
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[31, 14], Operations: ['38-7=31', '35-21=14']
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Exploring Operation: 31+14=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 31*14=434, Resulting Numbers: [434]
434,64 unequal: No Solution
Moving to Node #0,3,1
Current State: 64:[35, 10], Operations: ['38-21=17', '17-7=10']
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 35*10=350, Resulting Numbers: [350]
350,64 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,64 unequal: No Solution
Moving to Node #0,0,3
Current State: 64:[35, 10], Operations: ['38-7=31', '31-21=10']
Exploring Operation: 35*10=350, Resulting Numbers: [350]
350,64 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,64 unequal: No Solution
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Moving to Node #0,2,1
Current State: 64:[35, 66], Operations: ['38+21=59', '7+59=66']
Exploring Operation: 66-35=31, Resulting Numbers: [31]
31,64 unequal: No Solution
Exploring Operation: 35*66=2310, Resulting Numbers: [2310]
2310,64 unequal: No Solution
Exploring Operation: 35+66=101, Resulting Numbers: [101]
101,64 unequal: No Solution
Moving to Node #0,0,2
Current State: 64:[21, 4], Operations: ['38-7=31', '35-31=4']
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,64 unequal: No Solution
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,64 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Moving to Node #0,3,2
Current State: 64:[17, 28], Operations: ['38-21=17', '35-7=28']
Exploring Operation: 17*28=476, Resulting Numbers: [476]
476,64 unequal: No Solution
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 17+28=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[59, 5], Operations: ['38+21=59', '35/7=5']
Exploring Operation: 59*5=295, Resulting Numbers: [295]
295,64 unequal: No Solution
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,64 unequal: No Solution
Exploring Operation: 59+5=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[38, 7, 21, 35], Operations: []
Exploring Operation: 38+21=59, Resulting Numbers: [7, 35, 59]
Generated Node #0,2: 64:[7, 35, 59] Operation: 38+21=59
Moving to Node #0,2
Current State: 64:[7, 35, 59], Operations: ['38+21=59']
Exploring Operation: 35/7=5, Resulting Numbers: [59, 5]
Generated Node #0,2,0: 64:[59, 5] Operation: 35/7=5
Moving to Node #0,2,0
Current State: 64:[59, 5], Operations: ['38+21=59', '35/7=5']
Exploring Operation: 59+5=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 0.942708 | hs_4 | mult_heuristic |
[
22,
52,
42,
98
] | 28 | [
"22*98=2156",
"52*42=2184",
"2184-2156=28"
] | Current State: 28:[22, 52, 42, 98], Operations: []
Exploring Operation: 22*98=2156, Resulting Numbers: [52, 42, 2156]
Generated Node #2: [52, 42, 2156] from Operation: 22*98=2156
Current State: 28:[52, 42, 2156], Operations: ['22*98=2156']
Exploring Operation: 52*42=2184, Resulting Numbers: [2156, 2184]
Generated Node #3: [2156, 2184] from Operation: 52*42=2184
Current State: 28:[2156, 2184], Operations: ['22*98=2156', '52*42=2184']
Exploring Operation: 2184-2156=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[22, 52, 42, 98], Operations: []
Exploring Operation: 98-52=46, Resulting Numbers: [22, 42, 46]
Generated Node #0,0: 28:[22, 42, 46] Operation: 98-52=46
Moving to Node #0,0
Current State: 28:[22, 42, 46], Operations: ['98-52=46']
Exploring Operation: 46-42=4, Resulting Numbers: [22, 4]
Generated Node #0,0,0: 28:[22, 4] Operation: 46-42=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[22, 4], Operations: ['98-52=46', '46-42=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
7,
89,
63,
6
] | 68 | [
"7*6=42",
"89-63=26",
"42+26=68"
] | Current State: 68:[7, 89, 63, 6], Operations: []
Exploring Operation: 7*6=42, Resulting Numbers: [89, 63, 42]
Generated Node #2: [89, 63, 42] from Operation: 7*6=42
Current State: 68:[89, 63, 42], Operations: ['7*6=42']
Exploring Operation: 89-63=26, Resulting Numbers: [42, 26]
Generated Node #3: [42, 26] from Operation: 89-63=26
Current State: 68:[42, 26], Operations: ['7*6=42', '89-63=26']
Exploring Operation: 42+26=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[7, 89, 63, 6], Operations: []
Exploring Operation: 89-7=82, Resulting Numbers: [63, 6, 82]
Generated Node #0,0: 68:[63, 6, 82] Operation: 89-7=82
Exploring Operation: 89-63=26, Resulting Numbers: [7, 6, 26]
Generated Node #0,1: 68:[7, 6, 26] Operation: 89-63=26
Exploring Operation: 89-6=83, Resulting Numbers: [7, 63, 83]
Generated Node #0,2: 68:[7, 63, 83] Operation: 89-6=83
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[7, 6, 26], Operations: ['89-63=26']
Exploring Operation: 6+26=32, Resulting Numbers: [7, 32]
Generated Node #0,1,0: 68:[7, 32] Operation: 6+26=32
Exploring Operation: 7+26=33, Resulting Numbers: [6, 33]
Generated Node #0,1,1: 68:[6, 33] Operation: 7+26=33
Exploring Operation: 26-7=19, Resulting Numbers: [6, 19]
Generated Node #0,1,2: 68:[6, 19] Operation: 26-7=19
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 68:[6, 33], Operations: ['89-63=26', '7+26=33']
Exploring Operation: 6+33=39, Resulting Numbers: [39]
39,68 unequal: No Solution
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,68 unequal: No Solution
Exploring Operation: 6*33=198, Resulting Numbers: [198]
198,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 68:[6, 19], Operations: ['89-63=26', '26-7=19']
Exploring Operation: 6*19=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,68 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 68:[7, 32], Operations: ['89-63=26', '6+26=32']
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,68 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,68 unequal: No Solution
Exploring Operation: 7*32=224, Resulting Numbers: [224]
224,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[63, 6, 82], Operations: ['89-7=82']
Exploring Operation: 82-63=19, Resulting Numbers: [6, 19]
Generated Node #0,0,0: 68:[6, 19] Operation: 82-63=19
Exploring Operation: 63+6=69, Resulting Numbers: [82, 69]
Generated Node #0,0,1: 68:[82, 69] Operation: 63+6=69
Exploring Operation: 82-6=76, Resulting Numbers: [63, 76]
Generated Node #0,0,2: 68:[63, 76] Operation: 82-6=76
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 68:[6, 19], Operations: ['89-7=82', '82-63=19']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,68 unequal: No Solution
Exploring Operation: 6*19=114, Resulting Numbers: [114]
114,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 68:[63, 76], Operations: ['89-7=82', '82-6=76']
Exploring Operation: 63+76=139, Resulting Numbers: [139]
139,68 unequal: No Solution
Exploring Operation: 63*76=4788, Resulting Numbers: [4788]
4788,68 unequal: No Solution
Exploring Operation: 76-63=13, Resulting Numbers: [13]
13,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 68:[82, 69], Operations: ['89-7=82', '63+6=69']
Exploring Operation: 82*69=5658, Resulting Numbers: [5658]
5658,68 unequal: No Solution
Exploring Operation: 82-69=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 82+69=151, Resulting Numbers: [151]
151,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 68:[7, 63, 83], Operations: ['89-6=83']
Exploring Operation: 83-7=76, Resulting Numbers: [63, 76]
Generated Node #0,2,0: 68:[63, 76] Operation: 83-7=76
Exploring Operation: 7+63=70, Resulting Numbers: [83, 70]
Generated Node #0,2,1: 68:[83, 70] Operation: 7+63=70
Exploring Operation: 83-63=20, Resulting Numbers: [7, 20]
Generated Node #0,2,2: 68:[7, 20] Operation: 83-63=20
Moving to Node #0,2,2
Current State: 68:[7, 20], Operations: ['89-6=83', '83-63=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,68 unequal: No Solution
Exploring Operation: 7*20=140, Resulting Numbers: [140]
140,68 unequal: No Solution
Moving to Node #0,2,0
Current State: 68:[63, 76], Operations: ['89-6=83', '83-7=76']
Exploring Operation: 63+76=139, Resulting Numbers: [139]
139,68 unequal: No Solution
Exploring Operation: 63*76=4788, Resulting Numbers: [4788]
4788,68 unequal: No Solution
Exploring Operation: 76-63=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Moving to Node #0,2,1
Current State: 68:[83, 70], Operations: ['89-6=83', '7+63=70']
Exploring Operation: 83*70=5810, Resulting Numbers: [5810]
5810,68 unequal: No Solution
Exploring Operation: 83-70=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 83+70=153, Resulting Numbers: [153]
153,68 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 |
[
2,
70,
14,
83
] | 80 | [
"2+83=85",
"70/14=5",
"85-5=80"
] | Current State: 80:[2, 70, 14, 83], Operations: []
Exploring Operation: 2+83=85, Resulting Numbers: [70, 14, 85]
Generated Node #2: [70, 14, 85] from Operation: 2+83=85
Current State: 80:[70, 14, 85], Operations: ['2+83=85']
Exploring Operation: 70/14=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 70/14=5
Current State: 80:[85, 5], Operations: ['2+83=85', '70/14=5']
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[2, 70, 14, 83], Operations: []
Exploring Operation: 83-70=13, Resulting Numbers: [2, 14, 13]
Generated Node #0,0: 80:[2, 14, 13] Operation: 83-70=13
Exploring Operation: 70/14=5, Resulting Numbers: [2, 83, 5]
Generated Node #0,1: 80:[2, 83, 5] Operation: 70/14=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[2, 83, 5], Operations: ['70/14=5']
Exploring Operation: 83-2=81, Resulting Numbers: [5, 81]
Generated Node #0,1,0: 80:[5, 81] Operation: 83-2=81
Exploring Operation: 83-5=78, Resulting Numbers: [2, 78]
Generated Node #0,1,1: 80:[2, 78] Operation: 83-5=78
Moving to Node #0,1,0
Current State: 80:[5, 81], Operations: ['70/14=5', '83-2=81']
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,80 unequal: No Solution
Exploring Operation: 5+81=86, Resulting Numbers: [86]
86,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[2, 78], Operations: ['70/14=5', '83-5=78']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,80 unequal: No Solution
Exploring Operation: 2+78=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[2, 70, 14, 83], Operations: []
Exploring Operation: 70/14=5, Resulting Numbers: [2, 83, 5]
Generated Node #0,1: 80:[2, 83, 5] Operation: 70/14=5
Moving to Node #0,1
Current State: 80:[2, 83, 5], Operations: ['70/14=5']
Exploring Operation: 83-5=78, Resulting Numbers: [2, 78]
Generated Node #0,1,1: 80:[2, 78] Operation: 83-5=78
Moving to Node #0,1,1
Current State: 80:[2, 78], Operations: ['70/14=5', '83-5=78']
Exploring Operation: 2+78=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
61,
15,
78,
55
] | 69 | [
"61-15=46",
"78-55=23",
"46+23=69"
] | Current State: 69:[61, 15, 78, 55], Operations: []
Exploring Operation: 61-15=46, Resulting Numbers: [78, 55, 46]
Generated Node #2: [78, 55, 46] from Operation: 61-15=46
Current State: 69:[78, 55, 46], Operations: ['61-15=46']
Exploring Operation: 78-55=23, Resulting Numbers: [46, 23]
Generated Node #3: [46, 23] from Operation: 78-55=23
Current State: 69:[46, 23], Operations: ['61-15=46', '78-55=23']
Exploring Operation: 46+23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[61, 15, 78, 55], Operations: []
Exploring Operation: 15+55=70, Resulting Numbers: [61, 78, 70]
Generated Node #0,0: 69:[61, 78, 70] Operation: 15+55=70
Exploring Operation: 61-55=6, Resulting Numbers: [15, 78, 6]
Generated Node #0,1: 69:[15, 78, 6] Operation: 61-55=6
Exploring Operation: 78-55=23, Resulting Numbers: [61, 15, 23]
Generated Node #0,2: 69:[61, 15, 23] Operation: 78-55=23
Moving to Node #0,2
Current State: 69:[61, 15, 23], Operations: ['78-55=23']
Exploring Operation: 61-15=46, Resulting Numbers: [23, 46]
Generated Node #0,2,0: 69:[23, 46] Operation: 61-15=46
Exploring Operation: 23-15=8, Resulting Numbers: [61, 8]
Generated Node #0,2,1: 69:[61, 8] Operation: 23-15=8
Exploring Operation: 61+15=76, Resulting Numbers: [23, 76]
Generated Node #0,2,2: 69:[23, 76] Operation: 61+15=76
Moving to Node #0,0
Current State: 69:[61, 78, 70], Operations: ['15+55=70']
Exploring Operation: 78-61=17, Resulting Numbers: [70, 17]
Generated Node #0,0,0: 69:[70, 17] Operation: 78-61=17
Exploring Operation: 78-70=8, Resulting Numbers: [61, 8]
Generated Node #0,0,1: 69:[61, 8] Operation: 78-70=8
Exploring Operation: 70-61=9, Resulting Numbers: [78, 9]
Generated Node #0,0,2: 69:[78, 9] Operation: 70-61=9
Moving to Node #0,1
Current State: 69:[15, 78, 6], Operations: ['61-55=6']
Exploring Operation: 78-15=63, Resulting Numbers: [6, 63]
Generated Node #0,1,0: 69:[6, 63] Operation: 78-15=63
Exploring Operation: 15+6=21, Resulting Numbers: [78, 21]
Generated Node #0,1,1: 69:[78, 21] Operation: 15+6=21
Exploring Operation: 78-6=72, Resulting Numbers: [15, 72]
Generated Node #0,1,2: 69:[15, 72] Operation: 78-6=72
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 69:[6, 63], Operations: ['61-55=6', '78-15=63']
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,69 unequal: No Solution
Exploring Operation: 6+63=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[61, 15, 78, 55], Operations: []
Exploring Operation: 61-55=6, Resulting Numbers: [15, 78, 6]
Generated Node #0,1: 69:[15, 78, 6] Operation: 61-55=6
Moving to Node #0,1
Current State: 69:[15, 78, 6], Operations: ['61-55=6']
Exploring Operation: 78-15=63, Resulting Numbers: [6, 63]
Generated Node #0,1,0: 69:[6, 63] Operation: 78-15=63
Moving to Node #0,1,0
Current State: 69:[6, 63], Operations: ['61-55=6', '78-15=63']
Exploring Operation: 6+63=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
8,
2,
64,
89
] | 31 | [
"8-2=6",
"89-64=25",
"6+25=31"
] | Current State: 31:[8, 2, 64, 89], Operations: []
Exploring Operation: 8-2=6, Resulting Numbers: [64, 89, 6]
Generated Node #2: [64, 89, 6] from Operation: 8-2=6
Current State: 31:[64, 89, 6], Operations: ['8-2=6']
Exploring Operation: 89-64=25, Resulting Numbers: [6, 25]
Generated Node #3: [6, 25] from Operation: 89-64=25
Current State: 31:[6, 25], Operations: ['8-2=6', '89-64=25']
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[8, 2, 64, 89], Operations: []
Exploring Operation: 89-64=25, Resulting Numbers: [8, 2, 25]
Generated Node #0,0: 31:[8, 2, 25] Operation: 89-64=25
Exploring Operation: 8+2=10, Resulting Numbers: [64, 89, 10]
Generated Node #0,1: 31:[64, 89, 10] Operation: 8+2=10
Exploring Operation: 8*2=16, Resulting Numbers: [64, 89, 16]
Generated Node #0,2: 31:[64, 89, 16] Operation: 8*2=16
Exploring Operation: 64/2=32, Resulting Numbers: [8, 89, 32]
Generated Node #0,3: 31:[8, 89, 32] Operation: 64/2=32
Exploring Operation: 64/8=8, Resulting Numbers: [2, 89, 8]
Generated Node #0,4: 31:[2, 89, 8] Operation: 64/8=8
Moving to Node #0,0
Current State: 31:[8, 2, 25], Operations: ['89-64=25']
Exploring Operation: 8-2=6, Resulting Numbers: [25, 6]
Generated Node #0,0,0: 31:[25, 6] Operation: 8-2=6
Exploring Operation: 8*2=16, Resulting Numbers: [25, 16]
Generated Node #0,0,1: 31:[25, 16] Operation: 8*2=16
Exploring Operation: 2+25=27, Resulting Numbers: [8, 27]
Generated Node #0,0,2: 31:[8, 27] Operation: 2+25=27
Exploring Operation: 8+2=10, Resulting Numbers: [25, 10]
Generated Node #0,0,3: 31:[25, 10] Operation: 8+2=10
Exploring Operation: 8+25=33, Resulting Numbers: [2, 33]
Generated Node #0,0,4: 31:[2, 33] Operation: 8+25=33
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 31:[25, 16], Operations: ['89-64=25', '8*2=16']
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,31 unequal: No Solution
Exploring Operation: 25*16=400, Resulting Numbers: [400]
400,31 unequal: No Solution
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 31:[8, 27], Operations: ['89-64=25', '2+25=27']
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,31 unequal: No Solution
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,31 unequal: No Solution
Exploring Operation: 8*27=216, Resulting Numbers: [216]
216,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 31:[25, 10], Operations: ['89-64=25', '8+2=10']
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,31 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,31 unequal: No Solution
Exploring Operation: 25*10=250, Resulting Numbers: [250]
250,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 31:[25, 6], Operations: ['89-64=25', '8-2=6']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,31 unequal: No Solution
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[8, 2, 64, 89], Operations: []
Exploring Operation: 89-64=25, Resulting Numbers: [8, 2, 25]
Generated Node #0,0: 31:[8, 2, 25] Operation: 89-64=25
Moving to Node #0,0
Current State: 31:[8, 2, 25], Operations: ['89-64=25']
Exploring Operation: 8-2=6, Resulting Numbers: [25, 6]
Generated Node #0,0,0: 31:[25, 6] Operation: 8-2=6
Moving to Node #0,0,0
Current State: 31:[25, 6], Operations: ['89-64=25', '8-2=6']
Exploring Operation: 25+6=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | mult_heuristic |
[
62,
24,
58,
65
] | 50 | [
"65-62=3",
"24/3=8",
"58-8=50"
] | Current State: 50:[62, 24, 58, 65], Operations: []
Exploring Operation: 65-62=3, Resulting Numbers: [24, 58, 3]
Generated Node #2: [24, 58, 3] from Operation: 65-62=3
Current State: 50:[24, 58, 3], Operations: ['65-62=3']
Exploring Operation: 24/3=8, Resulting Numbers: [58, 8]
Generated Node #3: [58, 8] from Operation: 24/3=8
Current State: 50:[58, 8], Operations: ['65-62=3', '24/3=8']
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[62, 24, 58, 65], Operations: []
Exploring Operation: 65-58=7, Resulting Numbers: [62, 24, 7]
Generated Node #0,0: 50:[62, 24, 7] Operation: 65-58=7
Exploring Operation: 65-62=3, Resulting Numbers: [24, 58, 3]
Generated Node #0,1: 50:[24, 58, 3] Operation: 65-62=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[24, 58, 3], Operations: ['65-62=3']
Exploring Operation: 58-24=34, Resulting Numbers: [3, 34]
Generated Node #0,1,0: 50:[3, 34] Operation: 58-24=34
Exploring Operation: 58-3=55, Resulting Numbers: [24, 55]
Generated Node #0,1,1: 50:[24, 55] Operation: 58-3=55
Moving to Node #0,1,1
Current State: 50:[24, 55], Operations: ['65-62=3', '58-3=55']
Exploring Operation: 55-24=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Exploring Operation: 24+55=79, Resulting Numbers: [79]
79,50 unequal: No Solution
Moving to Node #0,1,0
Current State: 50:[3, 34], Operations: ['65-62=3', '58-24=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[62, 24, 7], Operations: ['65-58=7']
Exploring Operation: 62-24=38, Resulting Numbers: [7, 38]
Generated Node #0,0,0: 50:[7, 38] Operation: 62-24=38
Exploring Operation: 62-7=55, Resulting Numbers: [24, 55]
Generated Node #0,0,1: 50:[24, 55] Operation: 62-7=55
Moving to Node #0,0,1
Current State: 50:[24, 55], Operations: ['65-58=7', '62-7=55']
Exploring Operation: 24+55=79, Resulting Numbers: [79]
79,50 unequal: No Solution
Exploring Operation: 55-24=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[7, 38], Operations: ['65-58=7', '62-24=38']
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,50 unequal: No Solution
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,50 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 |
[
19,
78,
2,
5
] | 51 | [
"19+78=97",
"5+97=102",
"102/2=51"
] | Current State: 51:[19, 78, 2, 5], Operations: []
Exploring Operation: 19+78=97, Resulting Numbers: [2, 5, 97]
Generated Node #2: [2, 5, 97] from Operation: 19+78=97
Current State: 51:[2, 5, 97], Operations: ['19+78=97']
Exploring Operation: 5+97=102, Resulting Numbers: [2, 102]
Generated Node #3: [2, 102] from Operation: 5+97=102
Current State: 51:[2, 102], Operations: ['19+78=97', '5+97=102']
Exploring Operation: 102/2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[19, 78, 2, 5], Operations: []
Exploring Operation: 78-5=73, Resulting Numbers: [19, 2, 73]
Generated Node #0,0: 51:[19, 2, 73] Operation: 78-5=73
Exploring Operation: 19-2=17, Resulting Numbers: [78, 5, 17]
Generated Node #0,1: 51:[78, 5, 17] Operation: 19-2=17
Exploring Operation: 78/2=39, Resulting Numbers: [19, 5, 39]
Generated Node #0,2: 51:[19, 5, 39] Operation: 78/2=39
Exploring Operation: 78-19=59, Resulting Numbers: [2, 5, 59]
Generated Node #0,3: 51:[2, 5, 59] Operation: 78-19=59
Start Sub Search at level 1: Moving to Node #0,3
Current State: 51:[2, 5, 59], Operations: ['78-19=59']
Exploring Operation: 59-2=57, Resulting Numbers: [5, 57]
Generated Node #0,3,0: 51:[5, 57] Operation: 59-2=57
Exploring Operation: 5-2=3, Resulting Numbers: [59, 3]
Generated Node #0,3,1: 51:[59, 3] Operation: 5-2=3
Exploring Operation: 2+5=7, Resulting Numbers: [59, 7]
Generated Node #0,3,2: 51:[59, 7] Operation: 2+5=7
Exploring Operation: 59-5=54, Resulting Numbers: [2, 54]
Generated Node #0,3,3: 51:[2, 54] Operation: 59-5=54
Moving to Node #0,3,3
Current State: 51:[2, 54], Operations: ['78-19=59', '59-5=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,51 unequal: No Solution
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,51 unequal: No Solution
Exploring Operation: 2*54=108, Resulting Numbers: [108]
108,51 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Moving to Node #0,3,1
Current State: 51:[59, 3], Operations: ['78-19=59', '5-2=3']
Exploring Operation: 59*3=177, Resulting Numbers: [177]
177,51 unequal: No Solution
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,51 unequal: No Solution
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,51 unequal: No Solution
Moving to Node #0,3,0
Current State: 51:[5, 57], Operations: ['78-19=59', '59-2=57']
Exploring Operation: 5*57=285, Resulting Numbers: [285]
285,51 unequal: No Solution
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 5+57=62, Resulting Numbers: [62]
62,51 unequal: No Solution
Moving to Node #0,3,2
Current State: 51:[59, 7], Operations: ['78-19=59', '2+5=7']
Exploring Operation: 59*7=413, Resulting Numbers: [413]
413,51 unequal: No Solution
Exploring Operation: 59-7=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 59+7=66, Resulting Numbers: [66]
66,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[19, 5, 39], Operations: ['78/2=39']
Exploring Operation: 19-5=14, Resulting Numbers: [39, 14]
Generated Node #0,2,0: 51:[39, 14] Operation: 19-5=14
Exploring Operation: 39-19=20, Resulting Numbers: [5, 20]
Generated Node #0,2,1: 51:[5, 20] Operation: 39-19=20
Exploring Operation: 19+39=58, Resulting Numbers: [5, 58]
Generated Node #0,2,2: 51:[5, 58] Operation: 19+39=58
Exploring Operation: 5+39=44, Resulting Numbers: [19, 44]
Generated Node #0,2,3: 51:[19, 44] Operation: 5+39=44
Moving to Node #0,2,1
Current State: 51:[5, 20], Operations: ['78/2=39', '39-19=20']
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,51 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,51 unequal: No Solution
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Moving to Node #0,2,3
Current State: 51:[19, 44], Operations: ['78/2=39', '5+39=44']
Exploring Operation: 19*44=836, Resulting Numbers: [836]
836,51 unequal: No Solution
Exploring Operation: 19+44=63, Resulting Numbers: [63]
63,51 unequal: No Solution
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[5, 58], Operations: ['78/2=39', '19+39=58']
Exploring Operation: 5*58=290, Resulting Numbers: [290]
290,51 unequal: No Solution
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,51 unequal: No Solution
Exploring Operation: 5+58=63, Resulting Numbers: [63]
63,51 unequal: No Solution
Moving to Node #0,2,0
Current State: 51:[39, 14], Operations: ['78/2=39', '19-5=14']
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,51 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,51 unequal: No Solution
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[19, 2, 73], Operations: ['78-5=73']
Exploring Operation: 73-19=54, Resulting Numbers: [2, 54]
Generated Node #0,0,0: 51:[2, 54] Operation: 73-19=54
Exploring Operation: 73-2=71, Resulting Numbers: [19, 71]
Generated Node #0,0,1: 51:[19, 71] Operation: 73-2=71
Exploring Operation: 19-2=17, Resulting Numbers: [73, 17]
Generated Node #0,0,2: 51:[73, 17] Operation: 19-2=17
Exploring Operation: 19+2=21, Resulting Numbers: [73, 21]
Generated Node #0,0,3: 51:[73, 21] Operation: 19+2=21
Moving to Node #0,0,0
Current State: 51:[2, 54], Operations: ['78-5=73', '73-19=54']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,51 unequal: No Solution
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,51 unequal: No Solution
Exploring Operation: 2*54=108, Resulting Numbers: [108]
108,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[73, 17], Operations: ['78-5=73', '19-2=17']
Exploring Operation: 73*17=1241, Resulting Numbers: [1241]
1241,51 unequal: No Solution
Exploring Operation: 73+17=90, Resulting Numbers: [90]
90,51 unequal: No Solution
Exploring Operation: 73-17=56, Resulting Numbers: [56]
56,51 unequal: No Solution
Moving to Node #0,0,1
Current State: 51:[19, 71], Operations: ['78-5=73', '73-2=71']
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 19+71=90, Resulting Numbers: [90]
90,51 unequal: No Solution
Exploring Operation: 19*71=1349, Resulting Numbers: [1349]
1349,51 unequal: No Solution
Moving to Node #0,0,3
Current State: 51:[73, 21], Operations: ['78-5=73', '19+2=21']
Exploring Operation: 73-21=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 73+21=94, Resulting Numbers: [94]
94,51 unequal: No Solution
Exploring Operation: 73*21=1533, Resulting Numbers: [1533]
1533,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[78, 5, 17], Operations: ['19-2=17']
Exploring Operation: 78+5=83, Resulting Numbers: [17, 83]
Generated Node #0,1,0: 51:[17, 83] Operation: 78+5=83
Exploring Operation: 78-5=73, Resulting Numbers: [17, 73]
Generated Node #0,1,1: 51:[17, 73] Operation: 78-5=73
Exploring Operation: 5+17=22, Resulting Numbers: [78, 22]
Generated Node #0,1,2: 51:[78, 22] Operation: 5+17=22
Exploring Operation: 78-17=61, Resulting Numbers: [5, 61]
Generated Node #0,1,3: 51:[5, 61] Operation: 78-17=61
Moving to Node #0,1,3
Current State: 51:[5, 61], Operations: ['19-2=17', '78-17=61']
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,51 unequal: No Solution
Exploring Operation: 5*61=305, Resulting Numbers: [305]
305,51 unequal: No Solution
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[17, 73], Operations: ['19-2=17', '78-5=73']
Exploring Operation: 17*73=1241, Resulting Numbers: [1241]
1241,51 unequal: No Solution
Exploring Operation: 17+73=90, Resulting Numbers: [90]
90,51 unequal: No Solution
Exploring Operation: 73-17=56, Resulting Numbers: [56]
56,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[78, 22], Operations: ['19-2=17', '5+17=22']
Exploring Operation: 78*22=1716, Resulting Numbers: [1716]
1716,51 unequal: No Solution
Exploring Operation: 78+22=100, Resulting Numbers: [100]
100,51 unequal: No Solution
Exploring Operation: 78-22=56, Resulting Numbers: [56]
56,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[17, 83], Operations: ['19-2=17', '78+5=83']
Exploring Operation: 83-17=66, Resulting Numbers: [66]
66,51 unequal: No Solution
Exploring Operation: 17+83=100, Resulting Numbers: [100]
100,51 unequal: No Solution
Exploring Operation: 17*83=1411, Resulting Numbers: [1411]
1411,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
35,
10,
70,
73
] | 81 | [
"70/35=2",
"10+73=83",
"83-2=81"
] | Current State: 81:[35, 10, 70, 73], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [10, 73, 2]
Generated Node #2: [10, 73, 2] from Operation: 70/35=2
Current State: 81:[10, 73, 2], Operations: ['70/35=2']
Exploring Operation: 10+73=83, Resulting Numbers: [2, 83]
Generated Node #3: [2, 83] from Operation: 10+73=83
Current State: 81:[2, 83], Operations: ['70/35=2', '10+73=83']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[35, 10, 70, 73], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [35, 10, 3]
Generated Node #0,0: 81:[35, 10, 3] Operation: 73-70=3
Exploring Operation: 10+70=80, Resulting Numbers: [35, 73, 80]
Generated Node #0,1: 81:[35, 73, 80] Operation: 10+70=80
Exploring Operation: 70/10=7, Resulting Numbers: [35, 73, 7]
Generated Node #0,2: 81:[35, 73, 7] Operation: 70/10=7
Exploring Operation: 70-35=35, Resulting Numbers: [10, 73, 35]
Generated Node #0,3: 81:[10, 73, 35] Operation: 70-35=35
Exploring Operation: 70/35=2, Resulting Numbers: [10, 73, 2]
Generated Node #0,4: 81:[10, 73, 2] Operation: 70/35=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[35, 10, 3], Operations: ['73-70=3']
Exploring Operation: 35-3=32, Resulting Numbers: [10, 32]
Generated Node #0,0,0: 81:[10, 32] Operation: 35-3=32
Exploring Operation: 10-3=7, Resulting Numbers: [35, 7]
Generated Node #0,0,1: 81:[35, 7] Operation: 10-3=7
Exploring Operation: 35-10=25, Resulting Numbers: [3, 25]
Generated Node #0,0,2: 81:[3, 25] Operation: 35-10=25
Exploring Operation: 35+3=38, Resulting Numbers: [10, 38]
Generated Node #0,0,3: 81:[10, 38] Operation: 35+3=38
Exploring Operation: 10*3=30, Resulting Numbers: [35, 30]
Generated Node #0,0,4: 81:[35, 30] Operation: 10*3=30
Moving to Node #0,0,2
Current State: 81:[3, 25], Operations: ['73-70=3', '35-10=25']
Exploring Operation: 3+25=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,81 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,81 unequal: No Solution
Moving to Node #0,0,0
Current State: 81:[10, 32], Operations: ['73-70=3', '35-3=32']
Exploring Operation: 10*32=320, Resulting Numbers: [320]
320,81 unequal: No Solution
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,81 unequal: No Solution
Exploring Operation: 10+32=42, Resulting Numbers: [42]
42,81 unequal: No Solution
Moving to Node #0,0,1
Current State: 81:[35, 7], Operations: ['73-70=3', '10-3=7']
Exploring Operation: 35+7=42, Resulting Numbers: [42]
42,81 unequal: No Solution
Exploring Operation: 35/7=5, Resulting Numbers: [5]
5,81 unequal: No Solution
Exploring Operation: 35*7=245, Resulting Numbers: [245]
245,81 unequal: No Solution
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Moving to Node #0,0,4
Current State: 81:[35, 30], Operations: ['73-70=3', '10*3=30']
Exploring Operation: 35+30=65, Resulting Numbers: [65]
65,81 unequal: No Solution
Exploring Operation: 35*30=1050, Resulting Numbers: [1050]
1050,81 unequal: No Solution
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,81 unequal: No Solution
Moving to Node #0,0,3
Current State: 81:[10, 38], Operations: ['73-70=3', '35+3=38']
Exploring Operation: 10+38=48, Resulting Numbers: [48]
48,81 unequal: No Solution
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 10*38=380, Resulting Numbers: [380]
380,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 81:[10, 73, 2], Operations: ['70/35=2']
Exploring Operation: 10+2=12, Resulting Numbers: [73, 12]
Generated Node #0,4,0: 81:[73, 12] Operation: 10+2=12
Exploring Operation: 10+73=83, Resulting Numbers: [2, 83]
Generated Node #0,4,1: 81:[2, 83] Operation: 10+73=83
Exploring Operation: 73+2=75, Resulting Numbers: [10, 75]
Generated Node #0,4,2: 81:[10, 75] Operation: 73+2=75
Exploring Operation: 10/2=5, Resulting Numbers: [73, 5]
Generated Node #0,4,3: 81:[73, 5] Operation: 10/2=5
Exploring Operation: 10-2=8, Resulting Numbers: [73, 8]
Generated Node #0,4,4: 81:[73, 8] Operation: 10-2=8
Moving to Node #0,4,1
Current State: 81:[2, 83], Operations: ['70/35=2', '10+73=83']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[35, 10, 70, 73], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [10, 73, 2]
Generated Node #0,4: 81:[10, 73, 2] Operation: 70/35=2
Moving to Node #0,4
Current State: 81:[10, 73, 2], Operations: ['70/35=2']
Exploring Operation: 10+73=83, Resulting Numbers: [2, 83]
Generated Node #0,4,1: 81:[2, 83] Operation: 10+73=83
Moving to Node #0,4,1
Current State: 81:[2, 83], Operations: ['70/35=2', '10+73=83']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
40,
5,
10,
19
] | 37 | [
"40/5=8",
"10+19=29",
"8+29=37"
] | Current State: 37:[40, 5, 10, 19], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [10, 19, 8]
Generated Node #2: [10, 19, 8] from Operation: 40/5=8
Current State: 37:[10, 19, 8], Operations: ['40/5=8']
Exploring Operation: 10+19=29, Resulting Numbers: [8, 29]
Generated Node #3: [8, 29] from Operation: 10+19=29
Current State: 37:[8, 29], Operations: ['40/5=8', '10+19=29']
Exploring Operation: 8+29=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[40, 5, 10, 19], Operations: []
Exploring Operation: 10+19=29, Resulting Numbers: [40, 5, 29]
Generated Node #0,0: 37:[40, 5, 29] Operation: 10+19=29
Exploring Operation: 5+10=15, Resulting Numbers: [40, 19, 15]
Generated Node #0,1: 37:[40, 19, 15] Operation: 5+10=15
Exploring Operation: 5+19=24, Resulting Numbers: [40, 10, 24]
Generated Node #0,2: 37:[40, 10, 24] Operation: 5+19=24
Exploring Operation: 5*10=50, Resulting Numbers: [40, 19, 50]
Generated Node #0,3: 37:[40, 19, 50] Operation: 5*10=50
Start Sub Search at level 1: Moving to Node #0,3
Current State: 37:[40, 19, 50], Operations: ['5*10=50']
Exploring Operation: 40+19=59, Resulting Numbers: [50, 59]
Generated Node #0,3,0: 37:[50, 59] Operation: 40+19=59
Exploring Operation: 40-19=21, Resulting Numbers: [50, 21]
Generated Node #0,3,1: 37:[50, 21] Operation: 40-19=21
Exploring Operation: 50-19=31, Resulting Numbers: [40, 31]
Generated Node #0,3,2: 37:[40, 31] Operation: 50-19=31
Exploring Operation: 19+50=69, Resulting Numbers: [40, 69]
Generated Node #0,3,3: 37:[40, 69] Operation: 19+50=69
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 37:[40, 31], Operations: ['5*10=50', '50-19=31']
Exploring Operation: 40*31=1240, Resulting Numbers: [1240]
1240,37 unequal: No Solution
Exploring Operation: 40-31=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 40+31=71, Resulting Numbers: [71]
71,37 unequal: No Solution
No 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: 37:[50, 21], Operations: ['5*10=50', '40-19=21']
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,37 unequal: No Solution
Exploring Operation: 50*21=1050, Resulting Numbers: [1050]
1050,37 unequal: No Solution
Exploring Operation: 50+21=71, Resulting Numbers: [71]
71,37 unequal: No Solution
No 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: 37:[50, 59], Operations: ['5*10=50', '40+19=59']
Exploring Operation: 50*59=2950, Resulting Numbers: [2950]
2950,37 unequal: No Solution
Exploring Operation: 59-50=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 50+59=109, Resulting Numbers: [109]
109,37 unequal: No Solution
No 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: 37:[40, 69], Operations: ['5*10=50', '19+50=69']
Exploring Operation: 69-40=29, Resulting Numbers: [29]
29,37 unequal: No Solution
Exploring Operation: 40*69=2760, Resulting Numbers: [2760]
2760,37 unequal: No Solution
Exploring Operation: 40+69=109, Resulting Numbers: [109]
109,37 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: 37:[40, 5, 29], Operations: ['10+19=29']
Exploring Operation: 5+29=34, Resulting Numbers: [40, 34]
Generated Node #0,0,0: 37:[40, 34] Operation: 5+29=34
Exploring Operation: 40-5=35, Resulting Numbers: [29, 35]
Generated Node #0,0,1: 37:[29, 35] Operation: 40-5=35
Exploring Operation: 40+5=45, Resulting Numbers: [29, 45]
Generated Node #0,0,2: 37:[29, 45] Operation: 40+5=45
Exploring Operation: 29-5=24, Resulting Numbers: [40, 24]
Generated Node #0,0,3: 37:[40, 24] Operation: 29-5=24
Moving to Node #0,0,0
Current State: 37:[40, 34], Operations: ['10+19=29', '5+29=34']
Exploring Operation: 40*34=1360, Resulting Numbers: [1360]
1360,37 unequal: No Solution
Exploring Operation: 40+34=74, Resulting Numbers: [74]
74,37 unequal: No Solution
Exploring Operation: 40-34=6, Resulting Numbers: [6]
6,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[29, 35], Operations: ['10+19=29', '40-5=35']
Exploring Operation: 29+35=64, Resulting Numbers: [64]
64,37 unequal: No Solution
Exploring Operation: 29*35=1015, Resulting Numbers: [1015]
1015,37 unequal: No Solution
Exploring Operation: 35-29=6, Resulting Numbers: [6]
6,37 unequal: No Solution
Moving to Node #0,0,3
Current State: 37:[40, 24], Operations: ['10+19=29', '29-5=24']
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,37 unequal: No Solution
Exploring Operation: 40+24=64, Resulting Numbers: [64]
64,37 unequal: No Solution
Exploring Operation: 40*24=960, Resulting Numbers: [960]
960,37 unequal: No Solution
Moving to Node #0,0,2
Current State: 37:[29, 45], Operations: ['10+19=29', '40+5=45']
Exploring Operation: 45-29=16, Resulting Numbers: [16]
16,37 unequal: No Solution
Exploring Operation: 29+45=74, Resulting Numbers: [74]
74,37 unequal: No Solution
Exploring Operation: 29*45=1305, Resulting Numbers: [1305]
1305,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[40, 19, 15], Operations: ['5+10=15']
Exploring Operation: 19+15=34, Resulting Numbers: [40, 34]
Generated Node #0,1,0: 37:[40, 34] Operation: 19+15=34
Exploring Operation: 19-15=4, Resulting Numbers: [40, 4]
Generated Node #0,1,1: 37:[40, 4] Operation: 19-15=4
Exploring Operation: 40-15=25, Resulting Numbers: [19, 25]
Generated Node #0,1,2: 37:[19, 25] Operation: 40-15=25
Exploring Operation: 40+15=55, Resulting Numbers: [19, 55]
Generated Node #0,1,3: 37:[19, 55] Operation: 40+15=55
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 37:[40, 34], Operations: ['5+10=15', '19+15=34']
Exploring Operation: 40+34=74, Resulting Numbers: [74]
74,37 unequal: No Solution
Exploring Operation: 40-34=6, Resulting Numbers: [6]
6,37 unequal: No Solution
Exploring Operation: 40*34=1360, Resulting Numbers: [1360]
1360,37 unequal: No Solution
No 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: 37:[19, 25], Operations: ['5+10=15', '40-15=25']
Exploring Operation: 19+25=44, Resulting Numbers: [44]
44,37 unequal: No Solution
Exploring Operation: 25-19=6, Resulting Numbers: [6]
6,37 unequal: No Solution
Exploring Operation: 19*25=475, Resulting Numbers: [475]
475,37 unequal: No Solution
No 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: 37:[40, 4], Operations: ['5+10=15', '19-15=4']
Exploring Operation: 40*4=160, Resulting Numbers: [160]
160,37 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,37 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,37 unequal: No Solution
Exploring Operation: 40+4=44, Resulting Numbers: [44]
44,37 unequal: No Solution
No 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: 37:[19, 55], Operations: ['5+10=15', '40+15=55']
Exploring Operation: 19+55=74, Resulting Numbers: [74]
74,37 unequal: No Solution
Exploring Operation: 55-19=36, Resulting Numbers: [36]
36,37 unequal: No Solution
Exploring Operation: 19*55=1045, Resulting Numbers: [1045]
1045,37 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: 37:[40, 10, 24], Operations: ['5+19=24']
Exploring Operation: 40+10=50, Resulting Numbers: [24, 50]
Generated Node #0,2,0: 37:[24, 50] Operation: 40+10=50
Exploring Operation: 40-10=30, Resulting Numbers: [24, 30]
Generated Node #0,2,1: 37:[24, 30] Operation: 40-10=30
Exploring Operation: 24-10=14, Resulting Numbers: [40, 14]
Generated Node #0,2,2: 37:[40, 14] Operation: 24-10=14
Exploring Operation: 10+24=34, Resulting Numbers: [40, 34]
Generated Node #0,2,3: 37:[40, 34] Operation: 10+24=34
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 37:[40, 34], Operations: ['5+19=24', '10+24=34']
Exploring Operation: 40+34=74, Resulting Numbers: [74]
74,37 unequal: No Solution
Exploring Operation: 40-34=6, Resulting Numbers: [6]
6,37 unequal: No Solution
Exploring Operation: 40*34=1360, Resulting Numbers: [1360]
1360,37 unequal: No Solution
No 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: 37:[24, 30], Operations: ['5+19=24', '40-10=30']
Exploring Operation: 24+30=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 30-24=6, Resulting Numbers: [6]
6,37 unequal: No Solution
Exploring Operation: 24*30=720, Resulting Numbers: [720]
720,37 unequal: No Solution
No 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: 37:[24, 50], Operations: ['5+19=24', '40+10=50']
Exploring Operation: 24*50=1200, Resulting Numbers: [1200]
1200,37 unequal: No Solution
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,37 unequal: No Solution
Exploring Operation: 24+50=74, Resulting Numbers: [74]
74,37 unequal: No Solution
No 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: 37:[40, 14], Operations: ['5+19=24', '24-10=14']
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,37 unequal: No Solution
Exploring Operation: 40*14=560, Resulting Numbers: [560]
560,37 unequal: No Solution
Exploring Operation: 40+14=54, Resulting Numbers: [54]
54,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
44,
19,
33,
66
] | 41 | [
"44*33=1452",
"1452/66=22",
"19+22=41"
] | Current State: 41:[44, 19, 33, 66], Operations: []
Exploring Operation: 44*33=1452, Resulting Numbers: [19, 66, 1452]
Generated Node #2: [19, 66, 1452] from Operation: 44*33=1452
Current State: 41:[19, 66, 1452], Operations: ['44*33=1452']
Exploring Operation: 1452/66=22, Resulting Numbers: [19, 22]
Generated Node #3: [19, 22] from Operation: 1452/66=22
Current State: 41:[19, 22], Operations: ['44*33=1452', '1452/66=22']
Exploring Operation: 19+22=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[44, 19, 33, 66], Operations: []
Exploring Operation: 66-33=33, Resulting Numbers: [44, 19, 33]
Generated Node #0,0: 41:[44, 19, 33] Operation: 66-33=33
Exploring Operation: 66-19=47, Resulting Numbers: [44, 33, 47]
Generated Node #0,1: 41:[44, 33, 47] Operation: 66-19=47
Exploring Operation: 19+33=52, Resulting Numbers: [44, 66, 52]
Generated Node #0,2: 41:[44, 66, 52] Operation: 19+33=52
Moving to Node #0,1
Current State: 41:[44, 33, 47], Operations: ['66-19=47']
Exploring Operation: 44-33=11, Resulting Numbers: [47, 11]
Generated Node #0,1,0: 41:[47, 11] Operation: 44-33=11
Exploring Operation: 47-33=14, Resulting Numbers: [44, 14]
Generated Node #0,1,1: 41:[44, 14] Operation: 47-33=14
Exploring Operation: 44+33=77, Resulting Numbers: [47, 77]
Generated Node #0,1,2: 41:[47, 77] Operation: 44+33=77
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 41:[44, 14], Operations: ['66-19=47', '47-33=14']
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 44*14=616, Resulting Numbers: [616]
616,41 unequal: No Solution
Exploring Operation: 44+14=58, Resulting Numbers: [58]
58,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 41:[47, 11], Operations: ['66-19=47', '44-33=11']
Exploring Operation: 47-11=36, Resulting Numbers: [36]
36,41 unequal: No Solution
Exploring Operation: 47+11=58, Resulting Numbers: [58]
58,41 unequal: No Solution
Exploring Operation: 47*11=517, Resulting Numbers: [517]
517,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 41:[47, 77], Operations: ['66-19=47', '44+33=77']
Exploring Operation: 47+77=124, Resulting Numbers: [124]
124,41 unequal: No Solution
Exploring Operation: 47*77=3619, Resulting Numbers: [3619]
3619,41 unequal: No Solution
Exploring Operation: 77-47=30, Resulting Numbers: [30]
30,41 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: 41:[44, 19, 33], Operations: ['66-33=33']
Exploring Operation: 19+33=52, Resulting Numbers: [44, 52]
Generated Node #0,0,0: 41:[44, 52] Operation: 19+33=52
Exploring Operation: 44-19=25, Resulting Numbers: [33, 25]
Generated Node #0,0,1: 41:[33, 25] Operation: 44-19=25
Exploring Operation: 44+19=63, Resulting Numbers: [33, 63]
Generated Node #0,0,2: 41:[33, 63] Operation: 44+19=63
Moving to Node #0,2
Current State: 41:[44, 66, 52], Operations: ['19+33=52']
Exploring Operation: 66-44=22, Resulting Numbers: [52, 22]
Generated Node #0,2,0: 41:[52, 22] Operation: 66-44=22
Exploring Operation: 66-52=14, Resulting Numbers: [44, 14]
Generated Node #0,2,1: 41:[44, 14] Operation: 66-52=14
Exploring Operation: 52-44=8, Resulting Numbers: [66, 8]
Generated Node #0,2,2: 41:[66, 8] Operation: 52-44=8
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 41:[52, 22], Operations: ['19+33=52', '66-44=22']
Exploring Operation: 52*22=1144, Resulting Numbers: [1144]
1144,41 unequal: No Solution
Exploring Operation: 52+22=74, Resulting Numbers: [74]
74,41 unequal: No Solution
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 41:[44, 14], Operations: ['19+33=52', '66-52=14']
Exploring Operation: 44*14=616, Resulting Numbers: [616]
616,41 unequal: No Solution
Exploring Operation: 44+14=58, Resulting Numbers: [58]
58,41 unequal: No Solution
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 41:[66, 8], Operations: ['19+33=52', '52-44=8']
Exploring Operation: 66*8=528, Resulting Numbers: [528]
528,41 unequal: No Solution
Exploring Operation: 66+8=74, Resulting Numbers: [74]
74,41 unequal: No Solution
Exploring Operation: 66-8=58, Resulting Numbers: [58]
58,41 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: 41:[44, 52], Operations: ['66-33=33', '19+33=52']
Exploring Operation: 44+52=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 44*52=2288, Resulting Numbers: [2288]
2288,41 unequal: No Solution
Exploring Operation: 52-44=8, Resulting Numbers: [8]
8,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[33, 25], Operations: ['66-33=33', '44-19=25']
Exploring Operation: 33*25=825, Resulting Numbers: [825]
825,41 unequal: No Solution
Exploring Operation: 33+25=58, Resulting Numbers: [58]
58,41 unequal: No Solution
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[33, 63], Operations: ['66-33=33', '44+19=63']
Exploring Operation: 33+63=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 63-33=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 33*63=2079, Resulting Numbers: [2079]
2079,41 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
87,
43,
56,
26
] | 61 | [
"87+43=130",
"130/26=5",
"56+5=61"
] | Current State: 61:[87, 43, 56, 26], Operations: []
Exploring Operation: 87+43=130, Resulting Numbers: [56, 26, 130]
Generated Node #2: [56, 26, 130] from Operation: 87+43=130
Current State: 61:[56, 26, 130], Operations: ['87+43=130']
Exploring Operation: 130/26=5, Resulting Numbers: [56, 5]
Generated Node #3: [56, 5] from Operation: 130/26=5
Current State: 61:[56, 5], Operations: ['87+43=130', '130/26=5']
Exploring Operation: 56+5=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[87, 43, 56, 26], Operations: []
Exploring Operation: 87-43=44, Resulting Numbers: [56, 26, 44]
Generated Node #0,0: 61:[56, 26, 44] Operation: 87-43=44
Exploring Operation: 43+26=69, Resulting Numbers: [87, 56, 69]
Generated Node #0,1: 61:[87, 56, 69] Operation: 43+26=69
Exploring Operation: 87+26=113, Resulting Numbers: [43, 56, 113]
Generated Node #0,2: 61:[43, 56, 113] Operation: 87+26=113
Exploring Operation: 56+26=82, Resulting Numbers: [87, 43, 82]
Generated Node #0,3: 61:[87, 43, 82] Operation: 56+26=82
Exploring Operation: 87-26=61, Resulting Numbers: [43, 56, 61]
Generated Node #0,4: 61:[43, 56, 61] Operation: 87-26=61
Moving to Node #0,4
Current State: 61:[43, 56, 61], Operations: ['87-26=61']
Exploring Operation: 43+56=99, Resulting Numbers: [61, 99]
Generated Node #0,4,0: 61:[61, 99] Operation: 43+56=99
Exploring Operation: 43+61=104, Resulting Numbers: [56, 104]
Generated Node #0,4,1: 61:[56, 104] Operation: 43+61=104
Exploring Operation: 56-43=13, Resulting Numbers: [61, 13]
Generated Node #0,4,2: 61:[61, 13] Operation: 56-43=13
Exploring Operation: 61-43=18, Resulting Numbers: [56, 18]
Generated Node #0,4,3: 61:[56, 18] Operation: 61-43=18
Exploring Operation: 56+61=117, Resulting Numbers: [43, 117]
Generated Node #0,4,4: 61:[43, 117] Operation: 56+61=117
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 61:[61, 99], Operations: ['87-26=61', '43+56=99']
Exploring Operation: 61+99=160, Resulting Numbers: [160]
160,61 unequal: No Solution
Exploring Operation: 99-61=38, Resulting Numbers: [38]
38,61 unequal: No Solution
Exploring Operation: 61*99=6039, Resulting Numbers: [6039]
6039,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 61:[56, 104], Operations: ['87-26=61', '43+61=104']
Exploring Operation: 56*104=5824, Resulting Numbers: [5824]
5824,61 unequal: No Solution
Exploring Operation: 104-56=48, Resulting Numbers: [48]
48,61 unequal: No Solution
Exploring Operation: 56+104=160, Resulting Numbers: [160]
160,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 61:[61, 13], Operations: ['87-26=61', '56-43=13']
Exploring Operation: 61-13=48, Resulting Numbers: [48]
48,61 unequal: No Solution
Exploring Operation: 61+13=74, Resulting Numbers: [74]
74,61 unequal: No Solution
Exploring Operation: 61*13=793, Resulting Numbers: [793]
793,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 61:[56, 18], Operations: ['87-26=61', '61-43=18']
Exploring Operation: 56*18=1008, Resulting Numbers: [1008]
1008,61 unequal: No Solution
Exploring Operation: 56-18=38, Resulting Numbers: [38]
38,61 unequal: No Solution
Exploring Operation: 56+18=74, Resulting Numbers: [74]
74,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 61:[43, 117], Operations: ['87-26=61', '56+61=117']
Exploring Operation: 43+117=160, Resulting Numbers: [160]
160,61 unequal: No Solution
Exploring Operation: 117-43=74, Resulting Numbers: [74]
74,61 unequal: No Solution
Exploring Operation: 43*117=5031, Resulting Numbers: [5031]
5031,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 61:[87, 56, 69], Operations: ['43+26=69']
Exploring Operation: 69-56=13, Resulting Numbers: [87, 13]
Generated Node #0,1,0: 61:[87, 13] Operation: 69-56=13
Exploring Operation: 56+69=125, Resulting Numbers: [87, 125]
Generated Node #0,1,1: 61:[87, 125] Operation: 56+69=125
Exploring Operation: 87-69=18, Resulting Numbers: [56, 18]
Generated Node #0,1,2: 61:[56, 18] Operation: 87-69=18
Exploring Operation: 87-56=31, Resulting Numbers: [69, 31]
Generated Node #0,1,3: 61:[69, 31] Operation: 87-56=31
Exploring Operation: 87+56=143, Resulting Numbers: [69, 143]
Generated Node #0,1,4: 61:[69, 143] Operation: 87+56=143
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 61:[69, 31], Operations: ['43+26=69', '87-56=31']
Exploring Operation: 69*31=2139, Resulting Numbers: [2139]
2139,61 unequal: No Solution
Exploring Operation: 69-31=38, Resulting Numbers: [38]
38,61 unequal: No Solution
Exploring Operation: 69+31=100, Resulting Numbers: [100]
100,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 61:[56, 18], Operations: ['43+26=69', '87-69=18']
Exploring Operation: 56*18=1008, Resulting Numbers: [1008]
1008,61 unequal: No Solution
Exploring Operation: 56-18=38, Resulting Numbers: [38]
38,61 unequal: No Solution
Exploring Operation: 56+18=74, Resulting Numbers: [74]
74,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 61:[87, 13], Operations: ['43+26=69', '69-56=13']
Exploring Operation: 87+13=100, Resulting Numbers: [100]
100,61 unequal: No Solution
Exploring Operation: 87-13=74, Resulting Numbers: [74]
74,61 unequal: No Solution
Exploring Operation: 87*13=1131, Resulting Numbers: [1131]
1131,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 61:[87, 125], Operations: ['43+26=69', '56+69=125']
Exploring Operation: 87*125=10875, Resulting Numbers: [10875]
10875,61 unequal: No Solution
Exploring Operation: 87+125=212, Resulting Numbers: [212]
212,61 unequal: No Solution
Exploring Operation: 125-87=38, Resulting Numbers: [38]
38,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 61:[69, 143], Operations: ['43+26=69', '87+56=143']
Exploring Operation: 69*143=9867, Resulting Numbers: [9867]
9867,61 unequal: No Solution
Exploring Operation: 69+143=212, Resulting Numbers: [212]
212,61 unequal: No Solution
Exploring Operation: 143-69=74, Resulting Numbers: [74]
74,61 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: 61:[56, 26, 44], Operations: ['87-43=44']
Exploring Operation: 26+44=70, Resulting Numbers: [56, 70]
Generated Node #0,0,0: 61:[56, 70] Operation: 26+44=70
Exploring Operation: 56+44=100, Resulting Numbers: [26, 100]
Generated Node #0,0,1: 61:[26, 100] Operation: 56+44=100
Exploring Operation: 56-26=30, Resulting Numbers: [44, 30]
Generated Node #0,0,2: 61:[44, 30] Operation: 56-26=30
Exploring Operation: 56+26=82, Resulting Numbers: [44, 82]
Generated Node #0,0,3: 61:[44, 82] Operation: 56+26=82
Exploring Operation: 44-26=18, Resulting Numbers: [56, 18]
Generated Node #0,0,4: 61:[56, 18] Operation: 44-26=18
Moving to Node #0,3
Current State: 61:[87, 43, 82], Operations: ['56+26=82']
Exploring Operation: 87-82=5, Resulting Numbers: [43, 5]
Generated Node #0,3,0: 61:[43, 5] Operation: 87-82=5
Exploring Operation: 87-43=44, Resulting Numbers: [82, 44]
Generated Node #0,3,1: 61:[82, 44] Operation: 87-43=44
Exploring Operation: 43+82=125, Resulting Numbers: [87, 125]
Generated Node #0,3,2: 61:[87, 125] Operation: 43+82=125
Exploring Operation: 87+43=130, Resulting Numbers: [82, 130]
Generated Node #0,3,3: 61:[82, 130] Operation: 87+43=130
Exploring Operation: 82-43=39, Resulting Numbers: [87, 39]
Generated Node #0,3,4: 61:[87, 39] Operation: 82-43=39
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 61:[82, 44], Operations: ['56+26=82', '87-43=44']
Exploring Operation: 82-44=38, Resulting Numbers: [38]
38,61 unequal: No Solution
Exploring Operation: 82*44=3608, Resulting Numbers: [3608]
3608,61 unequal: No Solution
Exploring Operation: 82+44=126, Resulting Numbers: [126]
126,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 61:[87, 39], Operations: ['56+26=82', '82-43=39']
Exploring Operation: 87+39=126, Resulting Numbers: [126]
126,61 unequal: No Solution
Exploring Operation: 87*39=3393, Resulting Numbers: [3393]
3393,61 unequal: No Solution
Exploring Operation: 87-39=48, Resulting Numbers: [48]
48,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 61:[43, 5], Operations: ['56+26=82', '87-82=5']
Exploring Operation: 43-5=38, Resulting Numbers: [38]
38,61 unequal: No Solution
Exploring Operation: 43*5=215, Resulting Numbers: [215]
215,61 unequal: No Solution
Exploring Operation: 43+5=48, Resulting Numbers: [48]
48,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 61:[87, 125], Operations: ['56+26=82', '43+82=125']
Exploring Operation: 87+125=212, Resulting Numbers: [212]
212,61 unequal: No Solution
Exploring Operation: 125-87=38, Resulting Numbers: [38]
38,61 unequal: No Solution
Exploring Operation: 87*125=10875, Resulting Numbers: [10875]
10875,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 61:[82, 130], Operations: ['56+26=82', '87+43=130']
Exploring Operation: 130-82=48, Resulting Numbers: [48]
48,61 unequal: No Solution
Exploring Operation: 82*130=10660, Resulting Numbers: [10660]
10660,61 unequal: No Solution
Exploring Operation: 82+130=212, Resulting Numbers: [212]
212,61 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: 61:[43, 56, 113], Operations: ['87+26=113']
Exploring Operation: 43+113=156, Resulting Numbers: [56, 156]
Generated Node #0,2,0: 61:[56, 156] Operation: 43+113=156
Exploring Operation: 56-43=13, Resulting Numbers: [113, 13]
Generated Node #0,2,1: 61:[113, 13] Operation: 56-43=13
Exploring Operation: 43+56=99, Resulting Numbers: [113, 99]
Generated Node #0,2,2: 61:[113, 99] Operation: 43+56=99
Exploring Operation: 113-56=57, Resulting Numbers: [43, 57]
Generated Node #0,2,3: 61:[43, 57] Operation: 113-56=57
Exploring Operation: 113-43=70, Resulting Numbers: [56, 70]
Generated Node #0,2,4: 61:[56, 70] Operation: 113-43=70
Moving to Node #0,0,0
Current State: 61:[56, 70], Operations: ['87-43=44', '26+44=70']
Exploring Operation: 70-56=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 56*70=3920, Resulting Numbers: [3920]
3920,61 unequal: No Solution
Exploring Operation: 56+70=126, Resulting Numbers: [126]
126,61 unequal: No Solution
Moving to Node #0,2,4
Current State: 61:[56, 70], Operations: ['87+26=113', '113-43=70']
Exploring Operation: 56+70=126, Resulting Numbers: [126]
126,61 unequal: No Solution
Exploring Operation: 70-56=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 56*70=3920, Resulting Numbers: [3920]
3920,61 unequal: No Solution
Moving to Node #0,2,3
Current State: 61:[43, 57], Operations: ['87+26=113', '113-56=57']
Exploring Operation: 43+57=100, Resulting Numbers: [100]
100,61 unequal: No Solution
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 43*57=2451, Resulting Numbers: [2451]
2451,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[44, 82], Operations: ['87-43=44', '56+26=82']
Exploring Operation: 44*82=3608, Resulting Numbers: [3608]
3608,61 unequal: No Solution
Exploring Operation: 44+82=126, Resulting Numbers: [126]
126,61 unequal: No Solution
Exploring Operation: 82-44=38, Resulting Numbers: [38]
38,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[44, 30], Operations: ['87-43=44', '56-26=30']
Exploring Operation: 44+30=74, Resulting Numbers: [74]
74,61 unequal: No Solution
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 44*30=1320, Resulting Numbers: [1320]
1320,61 unequal: No Solution
Moving to Node #0,0,4
Current State: 61:[56, 18], Operations: ['87-43=44', '44-26=18']
Exploring Operation: 56*18=1008, Resulting Numbers: [1008]
1008,61 unequal: No Solution
Exploring Operation: 56-18=38, Resulting Numbers: [38]
38,61 unequal: No Solution
Exploring Operation: 56+18=74, Resulting Numbers: [74]
74,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[26, 100], Operations: ['87-43=44', '56+44=100']
Exploring Operation: 100-26=74, Resulting Numbers: [74]
74,61 unequal: No Solution
Exploring Operation: 26*100=2600, Resulting Numbers: [2600]
2600,61 unequal: No Solution
Exploring Operation: 26+100=126, Resulting Numbers: [126]
126,61 unequal: No Solution
Moving to Node #0,2,2
Current State: 61:[113, 99], Operations: ['87+26=113', '43+56=99']
Exploring Operation: 113-99=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 113+99=212, Resulting Numbers: [212]
212,61 unequal: No Solution
Exploring Operation: 113*99=11187, Resulting Numbers: [11187]
11187,61 unequal: No Solution
Moving to Node #0,2,1
Current State: 61:[113, 13], Operations: ['87+26=113', '56-43=13']
Exploring Operation: 113-13=100, Resulting Numbers: [100]
100,61 unequal: No Solution
Exploring Operation: 113+13=126, Resulting Numbers: [126]
126,61 unequal: No Solution
Exploring Operation: 113*13=1469, Resulting Numbers: [1469]
1469,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[56, 156], Operations: ['87+26=113', '43+113=156']
Exploring Operation: 56+156=212, Resulting Numbers: [212]
212,61 unequal: No Solution
Exploring Operation: 56*156=8736, Resulting Numbers: [8736]
8736,61 unequal: No Solution
Exploring Operation: 156-56=100, Resulting Numbers: [100]
100,61 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
2,
60,
11,
91
] | 53 | [
"2+11=13",
"91/13=7",
"60-7=53"
] | Current State: 53:[2, 60, 11, 91], Operations: []
Exploring Operation: 2+11=13, Resulting Numbers: [60, 91, 13]
Generated Node #2: [60, 91, 13] from Operation: 2+11=13
Current State: 53:[60, 91, 13], Operations: ['2+11=13']
Exploring Operation: 91/13=7, Resulting Numbers: [60, 7]
Generated Node #3: [60, 7] from Operation: 91/13=7
Current State: 53:[60, 7], Operations: ['2+11=13', '91/13=7']
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[2, 60, 11, 91], Operations: []
Exploring Operation: 2*11=22, Resulting Numbers: [60, 91, 22]
Generated Node #0,0: 53:[60, 91, 22] Operation: 2*11=22
Exploring Operation: 91-2=89, Resulting Numbers: [60, 11, 89]
Generated Node #0,1: 53:[60, 11, 89] Operation: 91-2=89
Exploring Operation: 60-2=58, Resulting Numbers: [11, 91, 58]
Generated Node #0,2: 53:[11, 91, 58] Operation: 60-2=58
Exploring Operation: 2+11=13, Resulting Numbers: [60, 91, 13]
Generated Node #0,3: 53:[60, 91, 13] Operation: 2+11=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[60, 91, 22], Operations: ['2*11=22']
Exploring Operation: 60-22=38, Resulting Numbers: [91, 38]
Generated Node #0,0,0: 53:[91, 38] Operation: 60-22=38
Exploring Operation: 91-60=31, Resulting Numbers: [22, 31]
Generated Node #0,0,1: 53:[22, 31] Operation: 91-60=31
Exploring Operation: 60+22=82, Resulting Numbers: [91, 82]
Generated Node #0,0,2: 53:[91, 82] Operation: 60+22=82
Exploring Operation: 91-22=69, Resulting Numbers: [60, 69]
Generated Node #0,0,3: 53:[60, 69] Operation: 91-22=69
Moving to Node #0,0,3
Current State: 53:[60, 69], Operations: ['2*11=22', '91-22=69']
Exploring Operation: 60*69=4140, Resulting Numbers: [4140]
4140,53 unequal: No Solution
Exploring Operation: 60+69=129, Resulting Numbers: [129]
129,53 unequal: No Solution
Exploring Operation: 69-60=9, Resulting Numbers: [9]
9,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[22, 31], Operations: ['2*11=22', '91-60=31']
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,53 unequal: No Solution
Exploring Operation: 22+31=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[2, 60, 11, 91], Operations: []
Exploring Operation: 2*11=22, Resulting Numbers: [60, 91, 22]
Generated Node #0,0: 53:[60, 91, 22] Operation: 2*11=22
Moving to Node #0,0
Current State: 53:[60, 91, 22], Operations: ['2*11=22']
Exploring Operation: 91-60=31, Resulting Numbers: [22, 31]
Generated Node #0,0,1: 53:[22, 31] Operation: 91-60=31
Moving to Node #0,0,1
Current State: 53:[22, 31], Operations: ['2*11=22', '91-60=31']
Exploring Operation: 22+31=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
71,
67,
48,
63
] | 61 | [
"71-63=8",
"48/8=6",
"67-6=61"
] | Current State: 61:[71, 67, 48, 63], Operations: []
Exploring Operation: 71-63=8, Resulting Numbers: [67, 48, 8]
Generated Node #2: [67, 48, 8] from Operation: 71-63=8
Current State: 61:[67, 48, 8], Operations: ['71-63=8']
Exploring Operation: 48/8=6, Resulting Numbers: [67, 6]
Generated Node #3: [67, 6] from Operation: 48/8=6
Current State: 61:[67, 6], Operations: ['71-63=8', '48/8=6']
Exploring Operation: 67-6=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[71, 67, 48, 63], Operations: []
Exploring Operation: 71-48=23, Resulting Numbers: [67, 63, 23]
Generated Node #0,0: 61:[67, 63, 23] Operation: 71-48=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[67, 63, 23], Operations: ['71-48=23']
Exploring Operation: 67-23=44, Resulting Numbers: [63, 44]
Generated Node #0,0,0: 61:[63, 44] Operation: 67-23=44
Moving to Node #0,0,0
Current State: 61:[63, 44], Operations: ['71-48=23', '67-23=44']
Exploring Operation: 63-44=19, Resulting Numbers: [19]
19,61 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 |
[
6,
35,
19,
21
] | 27 | [
"35-6=29",
"21-19=2",
"29-2=27"
] | Current State: 27:[6, 35, 19, 21], Operations: []
Exploring Operation: 35-6=29, Resulting Numbers: [19, 21, 29]
Generated Node #2: [19, 21, 29] from Operation: 35-6=29
Current State: 27:[19, 21, 29], Operations: ['35-6=29']
Exploring Operation: 21-19=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 21-19=2
Current State: 27:[29, 2], Operations: ['35-6=29', '21-19=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[6, 35, 19, 21], Operations: []
Exploring Operation: 21-19=2, Resulting Numbers: [6, 35, 2]
Generated Node #0,0: 27:[6, 35, 2] Operation: 21-19=2
Exploring Operation: 35-6=29, Resulting Numbers: [19, 21, 29]
Generated Node #0,1: 27:[19, 21, 29] Operation: 35-6=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[6, 35, 2], Operations: ['21-19=2']
Exploring Operation: 6/2=3, Resulting Numbers: [35, 3]
Generated Node #0,0,0: 27:[35, 3] Operation: 6/2=3
Exploring Operation: 35-6=29, Resulting Numbers: [2, 29]
Generated Node #0,0,1: 27:[2, 29] Operation: 35-6=29
Moving to Node #0,0,1
Current State: 27:[2, 29], Operations: ['21-19=2', '35-6=29']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[6, 35, 19, 21], Operations: []
Exploring Operation: 21-19=2, Resulting Numbers: [6, 35, 2]
Generated Node #0,0: 27:[6, 35, 2] Operation: 21-19=2
Moving to Node #0,0
Current State: 27:[6, 35, 2], Operations: ['21-19=2']
Exploring Operation: 35-6=29, Resulting Numbers: [2, 29]
Generated Node #0,0,1: 27:[2, 29] Operation: 35-6=29
Moving to Node #0,0,1
Current State: 27:[2, 29], Operations: ['21-19=2', '35-6=29']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
95,
74,
90,
72
] | 85 | [
"74-72=2",
"90*2=180",
"180-95=85"
] | Current State: 85:[95, 74, 90, 72], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [95, 90, 2]
Generated Node #2: [95, 90, 2] from Operation: 74-72=2
Current State: 85:[95, 90, 2], Operations: ['74-72=2']
Exploring Operation: 90*2=180, Resulting Numbers: [95, 180]
Generated Node #3: [95, 180] from Operation: 90*2=180
Current State: 85:[95, 180], Operations: ['74-72=2', '90*2=180']
Exploring Operation: 180-95=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[95, 74, 90, 72], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [74, 72, 5]
Generated Node #0,0: 85:[74, 72, 5] Operation: 95-90=5
Exploring Operation: 95-74=21, Resulting Numbers: [90, 72, 21]
Generated Node #0,1: 85:[90, 72, 21] Operation: 95-74=21
Exploring Operation: 90-72=18, Resulting Numbers: [95, 74, 18]
Generated Node #0,2: 85:[95, 74, 18] Operation: 90-72=18
Exploring Operation: 74-72=2, Resulting Numbers: [95, 90, 2]
Generated Node #0,3: 85:[95, 90, 2] Operation: 74-72=2
Exploring Operation: 95-72=23, Resulting Numbers: [74, 90, 23]
Generated Node #0,4: 85:[74, 90, 23] Operation: 95-72=23
Moving to Node #0,3
Current State: 85:[95, 90, 2], Operations: ['74-72=2']
Exploring Operation: 95-2=93, Resulting Numbers: [90, 93]
Generated Node #0,3,0: 85:[90, 93] Operation: 95-2=93
Exploring Operation: 90-2=88, Resulting Numbers: [95, 88]
Generated Node #0,3,1: 85:[95, 88] Operation: 90-2=88
Exploring Operation: 95-90=5, Resulting Numbers: [2, 5]
Generated Node #0,3,2: 85:[2, 5] Operation: 95-90=5
Exploring Operation: 95+2=97, Resulting Numbers: [90, 97]
Generated Node #0,3,3: 85:[90, 97] Operation: 95+2=97
Exploring Operation: 90+2=92, Resulting Numbers: [95, 92]
Generated Node #0,3,4: 85:[95, 92] Operation: 90+2=92
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 85:[2, 5], Operations: ['74-72=2', '95-90=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,85 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,85 unequal: No Solution
No 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: 85:[90, 93], Operations: ['74-72=2', '95-2=93']
Exploring Operation: 90+93=183, Resulting Numbers: [183]
183,85 unequal: No Solution
Exploring Operation: 93-90=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Exploring Operation: 90*93=8370, Resulting Numbers: [8370]
8370,85 unequal: No Solution
No 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: 85:[95, 88], Operations: ['74-72=2', '90-2=88']
Exploring Operation: 95-88=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 95*88=8360, Resulting Numbers: [8360]
8360,85 unequal: No Solution
Exploring Operation: 95+88=183, Resulting Numbers: [183]
183,85 unequal: No Solution
No 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: 85:[90, 97], Operations: ['74-72=2', '95+2=97']
Exploring Operation: 90+97=187, Resulting Numbers: [187]
187,85 unequal: No Solution
Exploring Operation: 97-90=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 90*97=8730, Resulting Numbers: [8730]
8730,85 unequal: No Solution
No 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: 85:[95, 92], Operations: ['74-72=2', '90+2=92']
Exploring Operation: 95-92=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Exploring Operation: 95*92=8740, Resulting Numbers: [8740]
8740,85 unequal: No Solution
Exploring Operation: 95+92=187, Resulting Numbers: [187]
187,85 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: 85:[95, 74, 18], Operations: ['90-72=18']
Exploring Operation: 74-18=56, Resulting Numbers: [95, 56]
Generated Node #0,2,0: 85:[95, 56] Operation: 74-18=56
Exploring Operation: 95-18=77, Resulting Numbers: [74, 77]
Generated Node #0,2,1: 85:[74, 77] Operation: 95-18=77
Exploring Operation: 74+18=92, Resulting Numbers: [95, 92]
Generated Node #0,2,2: 85:[95, 92] Operation: 74+18=92
Exploring Operation: 95+18=113, Resulting Numbers: [74, 113]
Generated Node #0,2,3: 85:[74, 113] Operation: 95+18=113
Exploring Operation: 95-74=21, Resulting Numbers: [18, 21]
Generated Node #0,2,4: 85:[18, 21] Operation: 95-74=21
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 85:[18, 21], Operations: ['90-72=18', '95-74=21']
Exploring Operation: 18*21=378, Resulting Numbers: [378]
378,85 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Exploring Operation: 18+21=39, Resulting Numbers: [39]
39,85 unequal: No Solution
No 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: 85:[95, 92], Operations: ['90-72=18', '74+18=92']
Exploring Operation: 95*92=8740, Resulting Numbers: [8740]
8740,85 unequal: No Solution
Exploring Operation: 95+92=187, Resulting Numbers: [187]
187,85 unequal: No Solution
Exploring Operation: 95-92=3, Resulting Numbers: [3]
3,85 unequal: No Solution
No 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: 85:[74, 77], Operations: ['90-72=18', '95-18=77']
Exploring Operation: 74*77=5698, Resulting Numbers: [5698]
5698,85 unequal: No Solution
Exploring Operation: 77-74=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Exploring Operation: 74+77=151, Resulting Numbers: [151]
151,85 unequal: No Solution
No 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: 85:[95, 56], Operations: ['90-72=18', '74-18=56']
Exploring Operation: 95-56=39, Resulting Numbers: [39]
39,85 unequal: No Solution
Exploring Operation: 95*56=5320, Resulting Numbers: [5320]
5320,85 unequal: No Solution
Exploring Operation: 95+56=151, Resulting Numbers: [151]
151,85 unequal: No Solution
No 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: 85:[74, 113], Operations: ['90-72=18', '95+18=113']
Exploring Operation: 74+113=187, Resulting Numbers: [187]
187,85 unequal: No Solution
Exploring Operation: 74*113=8362, Resulting Numbers: [8362]
8362,85 unequal: No Solution
Exploring Operation: 113-74=39, Resulting Numbers: [39]
39,85 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: 85:[90, 72, 21], Operations: ['95-74=21']
Exploring Operation: 72-21=51, Resulting Numbers: [90, 51]
Generated Node #0,1,0: 85:[90, 51] Operation: 72-21=51
Exploring Operation: 90-21=69, Resulting Numbers: [72, 69]
Generated Node #0,1,1: 85:[72, 69] Operation: 90-21=69
Exploring Operation: 72+21=93, Resulting Numbers: [90, 93]
Generated Node #0,1,2: 85:[90, 93] Operation: 72+21=93
Exploring Operation: 90+21=111, Resulting Numbers: [72, 111]
Generated Node #0,1,3: 85:[72, 111] Operation: 90+21=111
Exploring Operation: 90-72=18, Resulting Numbers: [21, 18]
Generated Node #0,1,4: 85:[21, 18] Operation: 90-72=18
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 85:[21, 18], Operations: ['95-74=21', '90-72=18']
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,85 unequal: No Solution
Exploring Operation: 21*18=378, Resulting Numbers: [378]
378,85 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,85 unequal: No Solution
No 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: 85:[90, 93], Operations: ['95-74=21', '72+21=93']
Exploring Operation: 90*93=8370, Resulting Numbers: [8370]
8370,85 unequal: No Solution
Exploring Operation: 90+93=183, Resulting Numbers: [183]
183,85 unequal: No Solution
Exploring Operation: 93-90=3, Resulting Numbers: [3]
3,85 unequal: No Solution
No 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: 85:[72, 69], Operations: ['95-74=21', '90-21=69']
Exploring Operation: 72-69=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Exploring Operation: 72+69=141, Resulting Numbers: [141]
141,85 unequal: No Solution
Exploring Operation: 72*69=4968, Resulting Numbers: [4968]
4968,85 unequal: No Solution
No 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: 85:[90, 51], Operations: ['95-74=21', '72-21=51']
Exploring Operation: 90+51=141, Resulting Numbers: [141]
141,85 unequal: No Solution
Exploring Operation: 90*51=4590, Resulting Numbers: [4590]
4590,85 unequal: No Solution
Exploring Operation: 90-51=39, Resulting Numbers: [39]
39,85 unequal: No Solution
No 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: 85:[72, 111], Operations: ['95-74=21', '90+21=111']
Exploring Operation: 72+111=183, Resulting Numbers: [183]
183,85 unequal: No Solution
Exploring Operation: 111-72=39, Resulting Numbers: [39]
39,85 unequal: No Solution
Exploring Operation: 72*111=7992, Resulting Numbers: [7992]
7992,85 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: 85:[74, 90, 23], Operations: ['95-72=23']
Exploring Operation: 74+23=97, Resulting Numbers: [90, 97]
Generated Node #0,4,0: 85:[90, 97] Operation: 74+23=97
Exploring Operation: 90-74=16, Resulting Numbers: [23, 16]
Generated Node #0,4,1: 85:[23, 16] Operation: 90-74=16
Exploring Operation: 90-23=67, Resulting Numbers: [74, 67]
Generated Node #0,4,2: 85:[74, 67] Operation: 90-23=67
Exploring Operation: 74-23=51, Resulting Numbers: [90, 51]
Generated Node #0,4,3: 85:[90, 51] Operation: 74-23=51
Exploring Operation: 90+23=113, Resulting Numbers: [74, 113]
Generated Node #0,4,4: 85:[74, 113] Operation: 90+23=113
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 85:[23, 16], Operations: ['95-72=23', '90-74=16']
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 23*16=368, Resulting Numbers: [368]
368,85 unequal: No Solution
Exploring Operation: 23+16=39, Resulting Numbers: [39]
39,85 unequal: No Solution
No 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: 85:[90, 97], Operations: ['95-72=23', '74+23=97']
Exploring Operation: 97-90=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 90+97=187, Resulting Numbers: [187]
187,85 unequal: No Solution
Exploring Operation: 90*97=8730, Resulting Numbers: [8730]
8730,85 unequal: No Solution
No 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: 85:[74, 67], Operations: ['95-72=23', '90-23=67']
Exploring Operation: 74*67=4958, Resulting Numbers: [4958]
4958,85 unequal: No Solution
Exploring Operation: 74-67=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 74+67=141, Resulting Numbers: [141]
141,85 unequal: No Solution
No 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: 85:[90, 51], Operations: ['95-72=23', '74-23=51']
Exploring Operation: 90*51=4590, Resulting Numbers: [4590]
4590,85 unequal: No Solution
Exploring Operation: 90+51=141, Resulting Numbers: [141]
141,85 unequal: No Solution
Exploring Operation: 90-51=39, Resulting Numbers: [39]
39,85 unequal: No Solution
No 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: 85:[74, 113], Operations: ['95-72=23', '90+23=113']
Exploring Operation: 113-74=39, Resulting Numbers: [39]
39,85 unequal: No Solution
Exploring Operation: 74*113=8362, Resulting Numbers: [8362]
8362,85 unequal: No Solution
Exploring Operation: 74+113=187, Resulting Numbers: [187]
187,85 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: 85:[74, 72, 5], Operations: ['95-90=5']
Exploring Operation: 72+5=77, Resulting Numbers: [74, 77]
Generated Node #0,0,0: 85:[74, 77] Operation: 72+5=77
Exploring Operation: 74+5=79, Resulting Numbers: [72, 79]
Generated Node #0,0,1: 85:[72, 79] Operation: 74+5=79
Exploring Operation: 74-72=2, Resulting Numbers: [5, 2]
Generated Node #0,0,2: 85:[5, 2] Operation: 74-72=2
Exploring Operation: 72-5=67, Resulting Numbers: [74, 67]
Generated Node #0,0,3: 85:[74, 67] Operation: 72-5=67
Exploring Operation: 74-5=69, Resulting Numbers: [72, 69]
Generated Node #0,0,4: 85:[72, 69] Operation: 74-5=69
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 85:[5, 2], Operations: ['95-90=5', '74-72=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,85 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,85 unequal: No Solution
No 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: 85:[74, 77], Operations: ['95-90=5', '72+5=77']
Exploring Operation: 74*77=5698, Resulting Numbers: [5698]
5698,85 unequal: No Solution
Exploring Operation: 77-74=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Exploring Operation: 74+77=151, Resulting Numbers: [151]
151,85 unequal: No Solution
No 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: 85:[72, 79], Operations: ['95-90=5', '74+5=79']
Exploring Operation: 72*79=5688, Resulting Numbers: [5688]
5688,85 unequal: No Solution
Exploring Operation: 79-72=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 72+79=151, Resulting Numbers: [151]
151,85 unequal: No Solution
No 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: 85:[74, 67], Operations: ['95-90=5', '72-5=67']
Exploring Operation: 74-67=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 74*67=4958, Resulting Numbers: [4958]
4958,85 unequal: No Solution
Exploring Operation: 74+67=141, Resulting Numbers: [141]
141,85 unequal: No Solution
No 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: 85:[72, 69], Operations: ['95-90=5', '74-5=69']
Exploring Operation: 72+69=141, Resulting Numbers: [141]
141,85 unequal: No Solution
Exploring Operation: 72-69=3, Resulting Numbers: [3]
3,85 unequal: No Solution
Exploring Operation: 72*69=4968, Resulting Numbers: [4968]
4968,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
23,
19,
22,
24
] | 93 | [
"22-19=3",
"23*3=69",
"24+69=93"
] | Current State: 93:[23, 19, 22, 24], Operations: []
Exploring Operation: 22-19=3, Resulting Numbers: [23, 24, 3]
Generated Node #2: [23, 24, 3] from Operation: 22-19=3
Current State: 93:[23, 24, 3], Operations: ['22-19=3']
Exploring Operation: 23*3=69, Resulting Numbers: [24, 69]
Generated Node #3: [24, 69] from Operation: 23*3=69
Current State: 93:[24, 69], Operations: ['22-19=3', '23*3=69']
Exploring Operation: 24+69=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[23, 19, 22, 24], Operations: []
Exploring Operation: 23-19=4, Resulting Numbers: [22, 24, 4]
Generated Node #0,0: 93:[22, 24, 4] Operation: 23-19=4
Exploring Operation: 23-22=1, Resulting Numbers: [19, 24, 1]
Generated Node #0,1: 93:[19, 24, 1] Operation: 23-22=1
Exploring Operation: 24-19=5, Resulting Numbers: [23, 22, 5]
Generated Node #0,2: 93:[23, 22, 5] Operation: 24-19=5
Exploring Operation: 22-19=3, Resulting Numbers: [23, 24, 3]
Generated Node #0,3: 93:[23, 24, 3] Operation: 22-19=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 93:[23, 24, 3], Operations: ['22-19=3']
Exploring Operation: 24+3=27, Resulting Numbers: [23, 27]
Generated Node #0,3,0: 93:[23, 27] Operation: 24+3=27
Exploring Operation: 23+3=26, Resulting Numbers: [24, 26]
Generated Node #0,3,1: 93:[24, 26] Operation: 23+3=26
Exploring Operation: 24-23=1, Resulting Numbers: [3, 1]
Generated Node #0,3,2: 93:[3, 1] Operation: 24-23=1
Exploring Operation: 24/3=8, Resulting Numbers: [23, 8]
Generated Node #0,3,3: 93:[23, 8] Operation: 24/3=8
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 93:[3, 1], Operations: ['22-19=3', '24-23=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 93:[23, 27], Operations: ['22-19=3', '24+3=27']
Exploring Operation: 23*27=621, Resulting Numbers: [621]
621,93 unequal: No Solution
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Exploring Operation: 23+27=50, Resulting Numbers: [50]
50,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 93:[24, 26], Operations: ['22-19=3', '23+3=26']
Exploring Operation: 24+26=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 24*26=624, Resulting Numbers: [624]
624,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 93:[23, 8], Operations: ['22-19=3', '24/3=8']
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,93 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,93 unequal: No Solution
Exploring Operation: 23*8=184, Resulting Numbers: [184]
184,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[22, 24, 4], Operations: ['23-19=4']
Exploring Operation: 24+4=28, Resulting Numbers: [22, 28]
Generated Node #0,0,0: 93:[22, 28] Operation: 24+4=28
Exploring Operation: 22+4=26, Resulting Numbers: [24, 26]
Generated Node #0,0,1: 93:[24, 26] Operation: 22+4=26
Exploring Operation: 24-22=2, Resulting Numbers: [4, 2]
Generated Node #0,0,2: 93:[4, 2] Operation: 24-22=2
Exploring Operation: 22*4=88, Resulting Numbers: [24, 88]
Generated Node #0,0,3: 93:[24, 88] Operation: 22*4=88
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 93:[4, 2], Operations: ['23-19=4', '24-22=2']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 93:[22, 28], Operations: ['23-19=4', '24+4=28']
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 93:[24, 26], Operations: ['23-19=4', '22+4=26']
Exploring Operation: 24+26=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Exploring Operation: 24*26=624, Resulting Numbers: [624]
624,93 unequal: No Solution
Exploring Operation: 26-24=2, Resulting Numbers: [2]
2,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 93:[24, 88], Operations: ['23-19=4', '22*4=88']
Exploring Operation: 24+88=112, Resulting Numbers: [112]
112,93 unequal: No Solution
Exploring Operation: 88-24=64, Resulting Numbers: [64]
64,93 unequal: No Solution
Exploring Operation: 24*88=2112, Resulting Numbers: [2112]
2112,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[23, 22, 5], Operations: ['24-19=5']
Exploring Operation: 23+22=45, Resulting Numbers: [5, 45]
Generated Node #0,2,0: 93:[5, 45] Operation: 23+22=45
Exploring Operation: 23-22=1, Resulting Numbers: [5, 1]
Generated Node #0,2,1: 93:[5, 1] Operation: 23-22=1
Exploring Operation: 23+5=28, Resulting Numbers: [22, 28]
Generated Node #0,2,2: 93:[22, 28] Operation: 23+5=28
Exploring Operation: 22+5=27, Resulting Numbers: [23, 27]
Generated Node #0,2,3: 93:[23, 27] Operation: 22+5=27
Moving to Node #0,2,1
Current State: 93:[5, 1], Operations: ['24-19=5', '23-22=1']
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Moving to Node #0,2,3
Current State: 93:[23, 27], Operations: ['24-19=5', '22+5=27']
Exploring Operation: 23+27=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Exploring Operation: 23*27=621, Resulting Numbers: [621]
621,93 unequal: No Solution
Moving to Node #0,2,2
Current State: 93:[22, 28], Operations: ['24-19=5', '23+5=28']
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,93 unequal: No Solution
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Moving to Node #0,2,0
Current State: 93:[5, 45], Operations: ['24-19=5', '23+22=45']
Exploring Operation: 5*45=225, Resulting Numbers: [225]
225,93 unequal: No Solution
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,93 unequal: No Solution
Exploring Operation: 5+45=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[19, 24, 1], Operations: ['23-22=1']
Exploring Operation: 19+24=43, Resulting Numbers: [1, 43]
Generated Node #0,1,0: 93:[1, 43] Operation: 19+24=43
Exploring Operation: 24-19=5, Resulting Numbers: [1, 5]
Generated Node #0,1,1: 93:[1, 5] Operation: 24-19=5
Exploring Operation: 24+1=25, Resulting Numbers: [19, 25]
Generated Node #0,1,2: 93:[19, 25] Operation: 24+1=25
Exploring Operation: 19+1=20, Resulting Numbers: [24, 20]
Generated Node #0,1,3: 93:[24, 20] Operation: 19+1=20
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 93:[1, 5], Operations: ['23-22=1', '24-19=5']
Exploring Operation: 1+5=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 93:[1, 43], Operations: ['23-22=1', '19+24=43']
Exploring Operation: 43/1=43, Resulting Numbers: [43]
43,93 unequal: No Solution
Exploring Operation: 43-1=42, Resulting Numbers: [42]
42,93 unequal: No Solution
Exploring Operation: 1+43=44, Resulting Numbers: [44]
44,93 unequal: No Solution
Exploring Operation: 1*43=43, Resulting Numbers: [43]
43,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 93:[19, 25], Operations: ['23-22=1', '24+1=25']
Exploring Operation: 19*25=475, Resulting Numbers: [475]
475,93 unequal: No Solution
Exploring Operation: 19+25=44, Resulting Numbers: [44]
44,93 unequal: No Solution
Exploring Operation: 25-19=6, Resulting Numbers: [6]
6,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 93:[24, 20], Operations: ['23-22=1', '19+1=20']
Exploring Operation: 24+20=44, Resulting Numbers: [44]
44,93 unequal: No Solution
Exploring Operation: 24*20=480, Resulting Numbers: [480]
480,93 unequal: No Solution
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,93 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_4 | mult_heuristic |
[
54,
34,
87,
45
] | 22 | [
"54-34=20",
"87-45=42",
"42-20=22"
] | Current State: 22:[54, 34, 87, 45], Operations: []
Exploring Operation: 54-34=20, Resulting Numbers: [87, 45, 20]
Generated Node #2: [87, 45, 20] from Operation: 54-34=20
Current State: 22:[87, 45, 20], Operations: ['54-34=20']
Exploring Operation: 87-45=42, Resulting Numbers: [20, 42]
Generated Node #3: [20, 42] from Operation: 87-45=42
Current State: 22:[20, 42], Operations: ['54-34=20', '87-45=42']
Exploring Operation: 42-20=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[54, 34, 87, 45], Operations: []
Exploring Operation: 87-54=33, Resulting Numbers: [34, 45, 33]
Generated Node #0,0: 22:[34, 45, 33] Operation: 87-54=33
Exploring Operation: 87-45=42, Resulting Numbers: [54, 34, 42]
Generated Node #0,1: 22:[54, 34, 42] Operation: 87-45=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[34, 45, 33], Operations: ['87-54=33']
Exploring Operation: 45-34=11, Resulting Numbers: [33, 11]
Generated Node #0,0,0: 22:[33, 11] Operation: 45-34=11
Exploring Operation: 45-33=12, Resulting Numbers: [34, 12]
Generated Node #0,0,1: 22:[34, 12] Operation: 45-33=12
Moving to Node #0,0,0
Current State: 22:[33, 11], Operations: ['87-54=33', '45-34=11']
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[54, 34, 87, 45], Operations: []
Exploring Operation: 87-54=33, Resulting Numbers: [34, 45, 33]
Generated Node #0,0: 22:[34, 45, 33] Operation: 87-54=33
Moving to Node #0,0
Current State: 22:[34, 45, 33], Operations: ['87-54=33']
Exploring Operation: 45-34=11, Resulting Numbers: [33, 11]
Generated Node #0,0,0: 22:[33, 11] Operation: 45-34=11
Moving to Node #0,0,0
Current State: 22:[33, 11], Operations: ['87-54=33', '45-34=11']
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
34,
32,
96,
69
] | 25 | [
"34-32=2",
"96-69=27",
"27-2=25"
] | Current State: 25:[34, 32, 96, 69], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [96, 69, 2]
Generated Node #2: [96, 69, 2] from Operation: 34-32=2
Current State: 25:[96, 69, 2], Operations: ['34-32=2']
Exploring Operation: 96-69=27, Resulting Numbers: [2, 27]
Generated Node #3: [2, 27] from Operation: 96-69=27
Current State: 25:[2, 27], Operations: ['34-32=2', '96-69=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[34, 32, 96, 69], Operations: []
Exploring Operation: 96-69=27, Resulting Numbers: [34, 32, 27]
Generated Node #0,0: 25:[34, 32, 27] Operation: 96-69=27
Exploring Operation: 96/32=3, Resulting Numbers: [34, 69, 3]
Generated Node #0,1: 25:[34, 69, 3] Operation: 96/32=3
Moving to Node #0,0
Current State: 25:[34, 32, 27], Operations: ['96-69=27']
Exploring Operation: 34-32=2, Resulting Numbers: [27, 2]
Generated Node #0,0,0: 25:[27, 2] Operation: 34-32=2
Exploring Operation: 34-27=7, Resulting Numbers: [32, 7]
Generated Node #0,0,1: 25:[32, 7] Operation: 34-27=7
Moving to Node #0,1
Current State: 25:[34, 69, 3], Operations: ['96/32=3']
Exploring Operation: 69-34=35, Resulting Numbers: [3, 35]
Generated Node #0,1,0: 25:[3, 35] Operation: 69-34=35
Exploring Operation: 69/3=23, Resulting Numbers: [34, 23]
Generated Node #0,1,1: 25:[34, 23] Operation: 69/3=23
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 25:[34, 23], Operations: ['96/32=3', '69/3=23']
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,25 unequal: No Solution
Exploring Operation: 34+23=57, Resulting Numbers: [57]
57,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 25:[3, 35], Operations: ['96/32=3', '69-34=35']
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 25:[27, 2], Operations: ['96-69=27', '34-32=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[34, 32, 96, 69], Operations: []
Exploring Operation: 96-69=27, Resulting Numbers: [34, 32, 27]
Generated Node #0,0: 25:[34, 32, 27] Operation: 96-69=27
Moving to Node #0,0
Current State: 25:[34, 32, 27], Operations: ['96-69=27']
Exploring Operation: 34-32=2, Resulting Numbers: [27, 2]
Generated Node #0,0,0: 25:[27, 2] Operation: 34-32=2
Moving to Node #0,0,0
Current State: 25:[27, 2], Operations: ['96-69=27', '34-32=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
26,
69,
92,
44
] | 92 | [
"69-26=43",
"44-43=1",
"92*1=92"
] | Current State: 92:[26, 69, 92, 44], Operations: []
Exploring Operation: 69-26=43, Resulting Numbers: [92, 44, 43]
Generated Node #2: [92, 44, 43] from Operation: 69-26=43
Current State: 92:[92, 44, 43], Operations: ['69-26=43']
Exploring Operation: 44-43=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 44-43=1
Current State: 92:[92, 1], Operations: ['69-26=43', '44-43=1']
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[26, 69, 92, 44], Operations: []
Exploring Operation: 92-69=23, Resulting Numbers: [26, 44, 23]
Generated Node #0,0: 92:[26, 44, 23] Operation: 92-69=23
Exploring Operation: 26+69=95, Resulting Numbers: [92, 44, 95]
Generated Node #0,1: 92:[92, 44, 95] Operation: 26+69=95
Exploring Operation: 69+44=113, Resulting Numbers: [26, 92, 113]
Generated Node #0,2: 92:[26, 92, 113] Operation: 69+44=113
Exploring Operation: 69-26=43, Resulting Numbers: [92, 44, 43]
Generated Node #0,3: 92:[92, 44, 43] Operation: 69-26=43
Exploring Operation: 69-44=25, Resulting Numbers: [26, 92, 25]
Generated Node #0,4: 92:[26, 92, 25] Operation: 69-44=25
Moving to Node #0,0
Current State: 92:[26, 44, 23], Operations: ['92-69=23']
Exploring Operation: 44-26=18, Resulting Numbers: [23, 18]
Generated Node #0,0,0: 92:[23, 18] Operation: 44-26=18
Exploring Operation: 26+23=49, Resulting Numbers: [44, 49]
Generated Node #0,0,1: 92:[44, 49] Operation: 26+23=49
Exploring Operation: 26+44=70, Resulting Numbers: [23, 70]
Generated Node #0,0,2: 92:[23, 70] Operation: 26+44=70
Exploring Operation: 26-23=3, Resulting Numbers: [44, 3]
Generated Node #0,0,3: 92:[44, 3] Operation: 26-23=3
Exploring Operation: 44-23=21, Resulting Numbers: [26, 21]
Generated Node #0,0,4: 92:[26, 21] Operation: 44-23=21
Moving to Node #0,3
Current State: 92:[92, 44, 43], Operations: ['69-26=43']
Exploring Operation: 44-43=1, Resulting Numbers: [92, 1]
Generated Node #0,3,0: 92:[92, 1] Operation: 44-43=1
Exploring Operation: 92-43=49, Resulting Numbers: [44, 49]
Generated Node #0,3,1: 92:[44, 49] Operation: 92-43=49
Exploring Operation: 44+43=87, Resulting Numbers: [92, 87]
Generated Node #0,3,2: 92:[92, 87] Operation: 44+43=87
Exploring Operation: 92+43=135, Resulting Numbers: [44, 135]
Generated Node #0,3,3: 92:[44, 135] Operation: 92+43=135
Exploring Operation: 92-44=48, Resulting Numbers: [43, 48]
Generated Node #0,3,4: 92:[43, 48] Operation: 92-44=48
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 92:[92, 1], Operations: ['69-26=43', '44-43=1']
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,92 unequal: No Solution
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[26, 69, 92, 44], Operations: []
Exploring Operation: 69-26=43, Resulting Numbers: [92, 44, 43]
Generated Node #0,3: 92:[92, 44, 43] Operation: 69-26=43
Moving to Node #0,3
Current State: 92:[92, 44, 43], Operations: ['69-26=43']
Exploring Operation: 44-43=1, Resulting Numbers: [92, 1]
Generated Node #0,3,0: 92:[92, 1] Operation: 44-43=1
Moving to Node #0,3,0
Current State: 92:[92, 1], Operations: ['69-26=43', '44-43=1']
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | mult_heuristic |
[
75,
87,
94,
71
] | 28 | [
"75-71=4",
"94-87=7",
"4*7=28"
] | Current State: 28:[75, 87, 94, 71], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [87, 94, 4]
Generated Node #2: [87, 94, 4] from Operation: 75-71=4
Current State: 28:[87, 94, 4], Operations: ['75-71=4']
Exploring Operation: 94-87=7, Resulting Numbers: [4, 7]
Generated Node #3: [4, 7] from Operation: 94-87=7
Current State: 28:[4, 7], Operations: ['75-71=4', '94-87=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[75, 87, 94, 71], Operations: []
Exploring Operation: 94-75=19, Resulting Numbers: [87, 71, 19]
Generated Node #0,0: 28:[87, 71, 19] Operation: 94-75=19
Exploring Operation: 94-87=7, Resulting Numbers: [75, 71, 7]
Generated Node #0,1: 28:[75, 71, 7] Operation: 94-87=7
Exploring Operation: 87-75=12, Resulting Numbers: [94, 71, 12]
Generated Node #0,2: 28:[94, 71, 12] Operation: 87-75=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[75, 71, 7], Operations: ['94-87=7']
Exploring Operation: 71-7=64, Resulting Numbers: [75, 64]
Generated Node #0,1,0: 28:[75, 64] Operation: 71-7=64
Exploring Operation: 75-7=68, Resulting Numbers: [71, 68]
Generated Node #0,1,1: 28:[71, 68] Operation: 75-7=68
Exploring Operation: 75-71=4, Resulting Numbers: [7, 4]
Generated Node #0,1,2: 28:[7, 4] Operation: 75-71=4
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 28:[7, 4], Operations: ['94-87=7', '75-71=4']
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,28 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[75, 87, 94, 71], Operations: []
Exploring Operation: 94-87=7, Resulting Numbers: [75, 71, 7]
Generated Node #0,1: 28:[75, 71, 7] Operation: 94-87=7
Moving to Node #0,1
Current State: 28:[75, 71, 7], Operations: ['94-87=7']
Exploring Operation: 75-71=4, Resulting Numbers: [7, 4]
Generated Node #0,1,2: 28:[7, 4] Operation: 75-71=4
Moving to Node #0,1,2
Current State: 28:[7, 4], Operations: ['94-87=7', '75-71=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
57,
63,
36,
82
] | 40 | [
"63-57=6",
"82-36=46",
"46-6=40"
] | Current State: 40:[57, 63, 36, 82], Operations: []
Exploring Operation: 63-57=6, Resulting Numbers: [36, 82, 6]
Generated Node #2: [36, 82, 6] from Operation: 63-57=6
Current State: 40:[36, 82, 6], Operations: ['63-57=6']
Exploring Operation: 82-36=46, Resulting Numbers: [6, 46]
Generated Node #3: [6, 46] from Operation: 82-36=46
Current State: 40:[6, 46], Operations: ['63-57=6', '82-36=46']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[57, 63, 36, 82], Operations: []
Exploring Operation: 82-63=19, Resulting Numbers: [57, 36, 19]
Generated Node #0,0: 40:[57, 36, 19] Operation: 82-63=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[57, 36, 19], Operations: ['82-63=19']
Exploring Operation: 57-36=21, Resulting Numbers: [19, 21]
Generated Node #0,0,0: 40:[19, 21] Operation: 57-36=21
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 40:[19, 21], Operations: ['82-63=19', '57-36=21']
Exploring Operation: 19+21=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[57, 63, 36, 82], Operations: []
Exploring Operation: 82-63=19, Resulting Numbers: [57, 36, 19]
Generated Node #0,0: 40:[57, 36, 19] Operation: 82-63=19
Moving to Node #0,0
Current State: 40:[57, 36, 19], Operations: ['82-63=19']
Exploring Operation: 57-36=21, Resulting Numbers: [19, 21]
Generated Node #0,0,0: 40:[19, 21] Operation: 57-36=21
Moving to Node #0,0,0
Current State: 40:[19, 21], Operations: ['82-63=19', '57-36=21']
Exploring Operation: 19+21=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
94,
55,
52,
60
] | 45 | [
"94-55=39",
"60*39=2340",
"2340/52=45"
] | Current State: 45:[94, 55, 52, 60], Operations: []
Exploring Operation: 94-55=39, Resulting Numbers: [52, 60, 39]
Generated Node #2: [52, 60, 39] from Operation: 94-55=39
Current State: 45:[52, 60, 39], Operations: ['94-55=39']
Exploring Operation: 60*39=2340, Resulting Numbers: [52, 2340]
Generated Node #3: [52, 2340] from Operation: 60*39=2340
Current State: 45:[52, 2340], Operations: ['94-55=39', '60*39=2340']
Exploring Operation: 2340/52=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[94, 55, 52, 60], Operations: []
Exploring Operation: 94-55=39, Resulting Numbers: [52, 60, 39]
Generated Node #0,0: 45:[52, 60, 39] Operation: 94-55=39
Exploring Operation: 94-52=42, Resulting Numbers: [55, 60, 42]
Generated Node #0,1: 45:[55, 60, 42] Operation: 94-52=42
Moving to Node #0,0
Current State: 45:[52, 60, 39], Operations: ['94-55=39']
Exploring Operation: 60-52=8, Resulting Numbers: [39, 8]
Generated Node #0,0,0: 45:[39, 8] Operation: 60-52=8
Exploring Operation: 60-39=21, Resulting Numbers: [52, 21]
Generated Node #0,0,1: 45:[52, 21] Operation: 60-39=21
Moving to Node #0,1
Current State: 45:[55, 60, 42], Operations: ['94-52=42']
Exploring Operation: 60-42=18, Resulting Numbers: [55, 18]
Generated Node #0,1,0: 45:[55, 18] Operation: 60-42=18
Exploring Operation: 60-55=5, Resulting Numbers: [42, 5]
Generated Node #0,1,1: 45:[42, 5] Operation: 60-55=5
Moving to Node #0,1,1
Current State: 45:[42, 5], Operations: ['94-52=42', '60-55=5']
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,45 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,45 unequal: No Solution
Moving to Node #0,0,0
Current State: 45:[39, 8], Operations: ['94-55=39', '60-52=8']
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,45 unequal: No Solution
Exploring Operation: 39+8=47, Resulting Numbers: [47]
47,45 unequal: No Solution
Moving to Node #0,0,1
Current State: 45:[52, 21], Operations: ['94-55=39', '60-39=21']
Exploring Operation: 52-21=31, Resulting Numbers: [31]
31,45 unequal: No Solution
Exploring Operation: 52+21=73, Resulting Numbers: [73]
73,45 unequal: No Solution
Moving to Node #0,1,0
Current State: 45:[55, 18], Operations: ['94-52=42', '60-42=18']
Exploring Operation: 55+18=73, Resulting Numbers: [73]
73,45 unequal: No Solution
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,45 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
17,
79,
19,
68
] | 25 | [
"79-17=62",
"19+68=87",
"87-62=25"
] | Current State: 25:[17, 79, 19, 68], Operations: []
Exploring Operation: 79-17=62, Resulting Numbers: [19, 68, 62]
Generated Node #2: [19, 68, 62] from Operation: 79-17=62
Current State: 25:[19, 68, 62], Operations: ['79-17=62']
Exploring Operation: 19+68=87, Resulting Numbers: [62, 87]
Generated Node #3: [62, 87] from Operation: 19+68=87
Current State: 25:[62, 87], Operations: ['79-17=62', '19+68=87']
Exploring Operation: 87-62=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[17, 79, 19, 68], Operations: []
Exploring Operation: 79-68=11, Resulting Numbers: [17, 19, 11]
Generated Node #0,0: 25:[17, 19, 11] Operation: 79-68=11
Exploring Operation: 68/17=4, Resulting Numbers: [79, 19, 4]
Generated Node #0,1: 25:[79, 19, 4] Operation: 68/17=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[17, 19, 11], Operations: ['79-68=11']
Exploring Operation: 17-11=6, Resulting Numbers: [19, 6]
Generated Node #0,0,0: 25:[19, 6] Operation: 17-11=6
Exploring Operation: 19-17=2, Resulting Numbers: [11, 2]
Generated Node #0,0,1: 25:[11, 2] Operation: 19-17=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[19, 6], Operations: ['79-68=11', '17-11=6']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[17, 79, 19, 68], Operations: []
Exploring Operation: 79-68=11, Resulting Numbers: [17, 19, 11]
Generated Node #0,0: 25:[17, 19, 11] Operation: 79-68=11
Moving to Node #0,0
Current State: 25:[17, 19, 11], Operations: ['79-68=11']
Exploring Operation: 17-11=6, Resulting Numbers: [19, 6]
Generated Node #0,0,0: 25:[19, 6] Operation: 17-11=6
Moving to Node #0,0,0
Current State: 25:[19, 6], Operations: ['79-68=11', '17-11=6']
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
66,
45,
75,
45
] | 39 | [
"66*45=2970",
"2970-45=2925",
"2925/75=39"
] | Current State: 39:[66, 45, 75, 45], Operations: []
Exploring Operation: 66*45=2970, Resulting Numbers: [75, 2970]
Generated Node #2: [75, 2970] from Operation: 66*45=2970
Current State: 39:[75, 2970], Operations: ['66*45=2970']
Exploring Operation: 2970-45=2925, Resulting Numbers: [75, 2925]
Generated Node #3: [75, 2925] from Operation: 2970-45=2925
Current State: 39:[75, 2925], Operations: ['66*45=2970', '2970-45=2925']
Exploring Operation: 2925/75=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[66, 45, 75, 45], Operations: []
Exploring Operation: 75-45=30, Resulting Numbers: [66, 45, 30]
Generated Node #0,0: 39:[66, 45, 30] Operation: 75-45=30
Exploring Operation: 75-45=30, Resulting Numbers: [66, 45, 30]
Generated Node #0,1: 39:[66, 45, 30] Operation: 75-45=30
Exploring Operation: 66-45=21, Resulting Numbers: [75, 45, 21]
Generated Node #0,2: 39:[75, 45, 21] Operation: 66-45=21
Exploring Operation: 75-66=9, Resulting Numbers: [45, 45, 9]
Generated Node #0,3: 39:[45, 45, 9] Operation: 75-66=9
Moving to Node #0,3
Current State: 39:[45, 45, 9], Operations: ['75-66=9']
Exploring Operation: 45/9=5, Resulting Numbers: [45, 5]
Generated Node #0,3,0: 39:[45, 5] Operation: 45/9=5
Exploring Operation: 45-45=0, Resulting Numbers: [9, 0]
Generated Node #0,3,1: 39:[9, 0] Operation: 45-45=0
Exploring Operation: 45/45=1, Resulting Numbers: [9, 1]
Generated Node #0,3,2: 39:[9, 1] Operation: 45/45=1
Exploring Operation: 45/9=5, Resulting Numbers: [45, 5]
Generated Node #0,3,3: 39:[45, 5] Operation: 45/9=5
Moving to Node #0,1
Current State: 39:[66, 45, 30], Operations: ['75-45=30']
Exploring Operation: 45-30=15, Resulting Numbers: [66, 15]
Generated Node #0,1,0: 39:[66, 15] Operation: 45-30=15
Exploring Operation: 66+30=96, Resulting Numbers: [45, 96]
Generated Node #0,1,1: 39:[45, 96] Operation: 66+30=96
Exploring Operation: 66-45=21, Resulting Numbers: [30, 21]
Generated Node #0,1,2: 39:[30, 21] Operation: 66-45=21
Exploring Operation: 66-30=36, Resulting Numbers: [45, 36]
Generated Node #0,1,3: 39:[45, 36] Operation: 66-30=36
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 39:[45, 36], Operations: ['75-45=30', '66-30=36']
Exploring Operation: 45-36=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Exploring Operation: 45+36=81, Resulting Numbers: [81]
81,39 unequal: No Solution
Exploring Operation: 45*36=1620, Resulting Numbers: [1620]
1620,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 39:[30, 21], Operations: ['75-45=30', '66-45=21']
Exploring Operation: 30*21=630, Resulting Numbers: [630]
630,39 unequal: No Solution
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,39 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 39:[66, 15], Operations: ['75-45=30', '45-30=15']
Exploring Operation: 66*15=990, Resulting Numbers: [990]
990,39 unequal: No Solution
Exploring Operation: 66+15=81, Resulting Numbers: [81]
81,39 unequal: No Solution
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 39:[45, 96], Operations: ['75-45=30', '66+30=96']
Exploring Operation: 45*96=4320, Resulting Numbers: [4320]
4320,39 unequal: No Solution
Exploring Operation: 96-45=51, Resulting Numbers: [51]
51,39 unequal: No Solution
Exploring Operation: 45+96=141, Resulting Numbers: [141]
141,39 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: 39:[66, 45, 30], Operations: ['75-45=30']
Exploring Operation: 66-30=36, Resulting Numbers: [45, 36]
Generated Node #0,0,0: 39:[45, 36] Operation: 66-30=36
Exploring Operation: 66-45=21, Resulting Numbers: [30, 21]
Generated Node #0,0,1: 39:[30, 21] Operation: 66-45=21
Exploring Operation: 45-30=15, Resulting Numbers: [66, 15]
Generated Node #0,0,2: 39:[66, 15] Operation: 45-30=15
Exploring Operation: 66+30=96, Resulting Numbers: [45, 96]
Generated Node #0,0,3: 39:[45, 96] Operation: 66+30=96
Moving to Node #0,2
Current State: 39:[75, 45, 21], Operations: ['66-45=21']
Exploring Operation: 75-21=54, Resulting Numbers: [45, 54]
Generated Node #0,2,0: 39:[45, 54] Operation: 75-21=54
Exploring Operation: 75-45=30, Resulting Numbers: [21, 30]
Generated Node #0,2,1: 39:[21, 30] Operation: 75-45=30
Exploring Operation: 75+21=96, Resulting Numbers: [45, 96]
Generated Node #0,2,2: 39:[45, 96] Operation: 75+21=96
Exploring Operation: 45-21=24, Resulting Numbers: [75, 24]
Generated Node #0,2,3: 39:[75, 24] Operation: 45-21=24
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 39:[21, 30], Operations: ['66-45=21', '75-45=30']
Exploring Operation: 21*30=630, Resulting Numbers: [630]
630,39 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 39:[45, 54], Operations: ['66-45=21', '75-21=54']
Exploring Operation: 54-45=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Exploring Operation: 45*54=2430, Resulting Numbers: [2430]
2430,39 unequal: No Solution
Exploring Operation: 45+54=99, Resulting Numbers: [99]
99,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 39:[75, 24], Operations: ['66-45=21', '45-21=24']
Exploring Operation: 75+24=99, Resulting Numbers: [99]
99,39 unequal: No Solution
Exploring Operation: 75*24=1800, Resulting Numbers: [1800]
1800,39 unequal: No Solution
Exploring Operation: 75-24=51, Resulting Numbers: [51]
51,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 39:[45, 96], Operations: ['66-45=21', '75+21=96']
Exploring Operation: 96-45=51, Resulting Numbers: [51]
51,39 unequal: No Solution
Exploring Operation: 45+96=141, Resulting Numbers: [141]
141,39 unequal: No Solution
Exploring Operation: 45*96=4320, Resulting Numbers: [4320]
4320,39 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: 39:[9, 1], Operations: ['75-66=9', '45/45=1']
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Exploring Operation: 9*1=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 9+1=10, Resulting Numbers: [10]
10,39 unequal: No Solution
Moving to Node #0,3,1
Current State: 39:[9, 0], Operations: ['75-66=9', '45-45=0']
Exploring Operation: 9-0=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Exploring Operation: 9*0=0, Resulting Numbers: [0]
0,39 unequal: No Solution
Exploring Operation: 9+0=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Moving to Node #0,3,0
Current State: 39:[45, 5], Operations: ['75-66=9', '45/9=5']
Exploring Operation: 45*5=225, Resulting Numbers: [225]
225,39 unequal: No Solution
Exploring Operation: 45+5=50, Resulting Numbers: [50]
50,39 unequal: No Solution
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Moving to Node #0,3,3
Current State: 39:[45, 5], Operations: ['75-66=9', '45/9=5']
Exploring Operation: 45*5=225, Resulting Numbers: [225]
225,39 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Exploring Operation: 45+5=50, Resulting Numbers: [50]
50,39 unequal: No Solution
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Moving to Node #0,0,0
Current State: 39:[45, 36], Operations: ['75-45=30', '66-30=36']
Exploring Operation: 45+36=81, Resulting Numbers: [81]
81,39 unequal: No Solution
Exploring Operation: 45-36=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Exploring Operation: 45*36=1620, Resulting Numbers: [1620]
1620,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[30, 21], Operations: ['75-45=30', '66-45=21']
Exploring Operation: 30+21=51, Resulting Numbers: [51]
51,39 unequal: No Solution
Exploring Operation: 30*21=630, Resulting Numbers: [630]
630,39 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Moving to Node #0,0,2
Current State: 39:[66, 15], Operations: ['75-45=30', '45-30=15']
Exploring Operation: 66*15=990, Resulting Numbers: [990]
990,39 unequal: No Solution
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,39 unequal: No Solution
Exploring Operation: 66+15=81, Resulting Numbers: [81]
81,39 unequal: No Solution
Moving to Node #0,0,3
Current State: 39:[45, 96], Operations: ['75-45=30', '66+30=96']
Exploring Operation: 45+96=141, Resulting Numbers: [141]
141,39 unequal: No Solution
Exploring Operation: 96-45=51, Resulting Numbers: [51]
51,39 unequal: No Solution
Exploring Operation: 45*96=4320, Resulting Numbers: [4320]
4320,39 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
10,
2,
29,
25
] | 41 | [
"10+25=35",
"2*35=70",
"70-29=41"
] | Current State: 41:[10, 2, 29, 25], Operations: []
Exploring Operation: 10+25=35, Resulting Numbers: [2, 29, 35]
Generated Node #2: [2, 29, 35] from Operation: 10+25=35
Current State: 41:[2, 29, 35], Operations: ['10+25=35']
Exploring Operation: 2*35=70, Resulting Numbers: [29, 70]
Generated Node #3: [29, 70] from Operation: 2*35=70
Current State: 41:[29, 70], Operations: ['10+25=35', '2*35=70']
Exploring Operation: 70-29=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[10, 2, 29, 25], Operations: []
Exploring Operation: 10+29=39, Resulting Numbers: [2, 25, 39]
Generated Node #0,0: 41:[2, 25, 39] Operation: 10+29=39
Exploring Operation: 10+2=12, Resulting Numbers: [29, 25, 12]
Generated Node #0,1: 41:[29, 25, 12] Operation: 10+2=12
Exploring Operation: 10+25=35, Resulting Numbers: [2, 29, 35]
Generated Node #0,2: 41:[2, 29, 35] Operation: 10+25=35
Exploring Operation: 10*2=20, Resulting Numbers: [29, 25, 20]
Generated Node #0,3: 41:[29, 25, 20] Operation: 10*2=20
Exploring Operation: 2*25=50, Resulting Numbers: [10, 29, 50]
Generated Node #0,4: 41:[10, 29, 50] Operation: 2*25=50
Start Sub Search at level 1: Moving to Node #0,3
Current State: 41:[29, 25, 20], Operations: ['10*2=20']
Exploring Operation: 29+25=54, Resulting Numbers: [20, 54]
Generated Node #0,3,0: 41:[20, 54] Operation: 29+25=54
Exploring Operation: 29+20=49, Resulting Numbers: [25, 49]
Generated Node #0,3,1: 41:[25, 49] Operation: 29+20=49
Exploring Operation: 29-20=9, Resulting Numbers: [25, 9]
Generated Node #0,3,2: 41:[25, 9] Operation: 29-20=9
Exploring Operation: 25+20=45, Resulting Numbers: [29, 45]
Generated Node #0,3,3: 41:[29, 45] Operation: 25+20=45
Exploring Operation: 25-20=5, Resulting Numbers: [29, 5]
Generated Node #0,3,4: 41:[29, 5] Operation: 25-20=5
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 41:[29, 45], Operations: ['10*2=20', '25+20=45']
Exploring Operation: 29+45=74, Resulting Numbers: [74]
74,41 unequal: No Solution
Exploring Operation: 45-29=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 29*45=1305, Resulting Numbers: [1305]
1305,41 unequal: No Solution
No 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: 41:[25, 49], Operations: ['10*2=20', '29+20=49']
Exploring Operation: 25*49=1225, Resulting Numbers: [1225]
1225,41 unequal: No Solution
Exploring Operation: 25+49=74, Resulting Numbers: [74]
74,41 unequal: No Solution
Exploring Operation: 49-25=24, Resulting Numbers: [24]
24,41 unequal: No Solution
No 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: 41:[20, 54], Operations: ['10*2=20', '29+25=54']
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,41 unequal: No Solution
Exploring Operation: 20+54=74, Resulting Numbers: [74]
74,41 unequal: No Solution
Exploring Operation: 20*54=1080, Resulting Numbers: [1080]
1080,41 unequal: No Solution
No 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: 41:[25, 9], Operations: ['10*2=20', '29-20=9']
Exploring Operation: 25+9=34, Resulting Numbers: [34]
34,41 unequal: No Solution
Exploring Operation: 25*9=225, Resulting Numbers: [225]
225,41 unequal: No Solution
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 41:[29, 5], Operations: ['10*2=20', '25-20=5']
Exploring Operation: 29+5=34, Resulting Numbers: [34]
34,41 unequal: No Solution
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,41 unequal: No Solution
Exploring Operation: 29*5=145, Resulting Numbers: [145]
145,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 41:[10, 29, 50], Operations: ['2*25=50']
Exploring Operation: 50/10=5, Resulting Numbers: [29, 5]
Generated Node #0,4,0: 41:[29, 5] Operation: 50/10=5
Exploring Operation: 29-10=19, Resulting Numbers: [50, 19]
Generated Node #0,4,1: 41:[50, 19] Operation: 29-10=19
Exploring Operation: 10+29=39, Resulting Numbers: [50, 39]
Generated Node #0,4,2: 41:[50, 39] Operation: 10+29=39
Exploring Operation: 10+50=60, Resulting Numbers: [29, 60]
Generated Node #0,4,3: 41:[29, 60] Operation: 10+50=60
Exploring Operation: 50-10=40, Resulting Numbers: [29, 40]
Generated Node #0,4,4: 41:[29, 40] Operation: 50-10=40
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 41:[50, 39], Operations: ['2*25=50', '10+29=39']
Exploring Operation: 50*39=1950, Resulting Numbers: [1950]
1950,41 unequal: No Solution
Exploring Operation: 50+39=89, Resulting Numbers: [89]
89,41 unequal: No Solution
Exploring Operation: 50-39=11, Resulting Numbers: [11]
11,41 unequal: No Solution
No 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: 41:[29, 40], Operations: ['2*25=50', '50-10=40']
Exploring Operation: 40-29=11, Resulting Numbers: [11]
11,41 unequal: No Solution
Exploring Operation: 29+40=69, Resulting Numbers: [69]
69,41 unequal: No Solution
Exploring Operation: 29*40=1160, Resulting Numbers: [1160]
1160,41 unequal: No Solution
No 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: 41:[50, 19], Operations: ['2*25=50', '29-10=19']
Exploring Operation: 50*19=950, Resulting Numbers: [950]
950,41 unequal: No Solution
Exploring Operation: 50-19=31, Resulting Numbers: [31]
31,41 unequal: No Solution
Exploring Operation: 50+19=69, Resulting Numbers: [69]
69,41 unequal: No Solution
No 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: 41:[29, 60], Operations: ['2*25=50', '10+50=60']
Exploring Operation: 29*60=1740, Resulting Numbers: [1740]
1740,41 unequal: No Solution
Exploring Operation: 29+60=89, Resulting Numbers: [89]
89,41 unequal: No Solution
Exploring Operation: 60-29=31, Resulting Numbers: [31]
31,41 unequal: No Solution
No 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: 41:[29, 5], Operations: ['2*25=50', '50/10=5']
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,41 unequal: No Solution
Exploring Operation: 29+5=34, Resulting Numbers: [34]
34,41 unequal: No Solution
Exploring Operation: 29*5=145, Resulting Numbers: [145]
145,41 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: 41:[2, 25, 39], Operations: ['10+29=39']
Exploring Operation: 2*25=50, Resulting Numbers: [39, 50]
Generated Node #0,0,0: 41:[39, 50] Operation: 2*25=50
Exploring Operation: 2+39=41, Resulting Numbers: [25, 41]
Generated Node #0,0,1: 41:[25, 41] Operation: 2+39=41
Exploring Operation: 39-2=37, Resulting Numbers: [25, 37]
Generated Node #0,0,2: 41:[25, 37] Operation: 39-2=37
Exploring Operation: 25-2=23, Resulting Numbers: [39, 23]
Generated Node #0,0,3: 41:[39, 23] Operation: 25-2=23
Exploring Operation: 2+25=27, Resulting Numbers: [39, 27]
Generated Node #0,0,4: 41:[39, 27] Operation: 2+25=27
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[39, 50], Operations: ['10+29=39', '2*25=50']
Exploring Operation: 50-39=11, Resulting Numbers: [11]
11,41 unequal: No Solution
Exploring Operation: 39+50=89, Resulting Numbers: [89]
89,41 unequal: No Solution
Exploring Operation: 39*50=1950, Resulting Numbers: [1950]
1950,41 unequal: No Solution
No 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: 41:[25, 41], Operations: ['10+29=39', '2+39=41']
Exploring Operation: 41-25=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 25*41=1025, Resulting Numbers: [1025]
1025,41 unequal: No Solution
Exploring Operation: 25+41=66, Resulting Numbers: [66]
66,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 41:[39, 27], Operations: ['10+29=39', '2+25=27']
Exploring Operation: 39+27=66, Resulting Numbers: [66]
66,41 unequal: No Solution
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,41 unequal: No Solution
Exploring Operation: 39*27=1053, Resulting Numbers: [1053]
1053,41 unequal: No Solution
No 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: 41:[25, 37], Operations: ['10+29=39', '39-2=37']
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,41 unequal: No Solution
Exploring Operation: 25*37=925, Resulting Numbers: [925]
925,41 unequal: No Solution
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,41 unequal: No Solution
No 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: 41:[39, 23], Operations: ['10+29=39', '25-2=23']
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 39*23=897, Resulting Numbers: [897]
897,41 unequal: No Solution
Exploring Operation: 39+23=62, Resulting Numbers: [62]
62,41 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: 41:[29, 25, 12], Operations: ['10+2=12']
Exploring Operation: 29+12=41, Resulting Numbers: [25, 41]
Generated Node #0,1,0: 41:[25, 41] Operation: 29+12=41
Exploring Operation: 29+25=54, Resulting Numbers: [12, 54]
Generated Node #0,1,1: 41:[12, 54] Operation: 29+25=54
Exploring Operation: 25+12=37, Resulting Numbers: [29, 37]
Generated Node #0,1,2: 41:[29, 37] Operation: 25+12=37
Exploring Operation: 25-12=13, Resulting Numbers: [29, 13]
Generated Node #0,1,3: 41:[29, 13] Operation: 25-12=13
Exploring Operation: 29-12=17, Resulting Numbers: [25, 17]
Generated Node #0,1,4: 41:[25, 17] Operation: 29-12=17
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 41:[25, 41], Operations: ['10+2=12', '29+12=41']
Exploring Operation: 25+41=66, Resulting Numbers: [66]
66,41 unequal: No Solution
Exploring Operation: 41-25=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 25*41=1025, Resulting Numbers: [1025]
1025,41 unequal: No Solution
No 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: 41:[29, 37], Operations: ['10+2=12', '25+12=37']
Exploring Operation: 29*37=1073, Resulting Numbers: [1073]
1073,41 unequal: No Solution
Exploring Operation: 29+37=66, Resulting Numbers: [66]
66,41 unequal: No Solution
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,41 unequal: No Solution
No 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: 41:[29, 13], Operations: ['10+2=12', '25-12=13']
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,41 unequal: No Solution
Exploring Operation: 29+13=42, Resulting Numbers: [42]
42,41 unequal: No Solution
Exploring Operation: 29*13=377, Resulting Numbers: [377]
377,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 41:[25, 17], Operations: ['10+2=12', '29-12=17']
Exploring Operation: 25+17=42, Resulting Numbers: [42]
42,41 unequal: No Solution
Exploring Operation: 25*17=425, Resulting Numbers: [425]
425,41 unequal: No Solution
Exploring Operation: 25-17=8, Resulting Numbers: [8]
8,41 unequal: No Solution
No 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: 41:[12, 54], Operations: ['10+2=12', '29+25=54']
Exploring Operation: 12+54=66, Resulting Numbers: [66]
66,41 unequal: No Solution
Exploring Operation: 12*54=648, Resulting Numbers: [648]
648,41 unequal: No Solution
Exploring Operation: 54-12=42, Resulting Numbers: [42]
42,41 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: 41:[2, 29, 35], Operations: ['10+25=35']
Exploring Operation: 2+29=31, Resulting Numbers: [35, 31]
Generated Node #0,2,0: 41:[35, 31] Operation: 2+29=31
Exploring Operation: 2+35=37, Resulting Numbers: [29, 37]
Generated Node #0,2,1: 41:[29, 37] Operation: 2+35=37
Exploring Operation: 29-2=27, Resulting Numbers: [35, 27]
Generated Node #0,2,2: 41:[35, 27] Operation: 29-2=27
Exploring Operation: 35-2=33, Resulting Numbers: [29, 33]
Generated Node #0,2,3: 41:[29, 33] Operation: 35-2=33
Exploring Operation: 2*29=58, Resulting Numbers: [35, 58]
Generated Node #0,2,4: 41:[35, 58] Operation: 2*29=58
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 41:[35, 31], Operations: ['10+25=35', '2+29=31']
Exploring Operation: 35-31=4, Resulting Numbers: [4]
4,41 unequal: No Solution
Exploring Operation: 35*31=1085, Resulting Numbers: [1085]
1085,41 unequal: No Solution
Exploring Operation: 35+31=66, Resulting Numbers: [66]
66,41 unequal: No Solution
No 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: 41:[29, 37], Operations: ['10+25=35', '2+35=37']
Exploring Operation: 29*37=1073, Resulting Numbers: [1073]
1073,41 unequal: No Solution
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,41 unequal: No Solution
Exploring Operation: 29+37=66, Resulting Numbers: [66]
66,41 unequal: No Solution
No 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: 41:[35, 27], Operations: ['10+25=35', '29-2=27']
Exploring Operation: 35-27=8, Resulting Numbers: [8]
8,41 unequal: No Solution
Exploring Operation: 35*27=945, Resulting Numbers: [945]
945,41 unequal: No Solution
Exploring Operation: 35+27=62, Resulting Numbers: [62]
62,41 unequal: No Solution
No 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: 41:[29, 33], Operations: ['10+25=35', '35-2=33']
Exploring Operation: 29*33=957, Resulting Numbers: [957]
957,41 unequal: No Solution
Exploring Operation: 29+33=62, Resulting Numbers: [62]
62,41 unequal: No Solution
Exploring Operation: 33-29=4, Resulting Numbers: [4]
4,41 unequal: No Solution
No 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: 41:[35, 58], Operations: ['10+25=35', '2*29=58']
Exploring Operation: 58-35=23, Resulting Numbers: [23]
23,41 unequal: No Solution
Exploring Operation: 35*58=2030, Resulting Numbers: [2030]
2030,41 unequal: No Solution
Exploring Operation: 35+58=93, Resulting Numbers: [93]
93,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
39,
25,
17,
56
] | 21 | [
"39-25=14",
"56/14=4",
"17+4=21"
] | Current State: 21:[39, 25, 17, 56], Operations: []
Exploring Operation: 39-25=14, Resulting Numbers: [17, 56, 14]
Generated Node #2: [17, 56, 14] from Operation: 39-25=14
Current State: 21:[17, 56, 14], Operations: ['39-25=14']
Exploring Operation: 56/14=4, Resulting Numbers: [17, 4]
Generated Node #3: [17, 4] from Operation: 56/14=4
Current State: 21:[17, 4], Operations: ['39-25=14', '56/14=4']
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[39, 25, 17, 56], Operations: []
Exploring Operation: 56-39=17, Resulting Numbers: [25, 17, 17]
Generated Node #0,0: 21:[25, 17, 17] Operation: 56-39=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[25, 17, 17], Operations: ['56-39=17']
Exploring Operation: 25-17=8, Resulting Numbers: [17, 8]
Generated Node #0,0,0: 21:[17, 8] Operation: 25-17=8
Moving to Node #0,0,0
Current State: 21:[17, 8], Operations: ['56-39=17', '25-17=8']
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,21 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 |
[
25,
93,
32,
13
] | 99 | [
"25+93=118",
"32-13=19",
"118-19=99"
] | Current State: 99:[25, 93, 32, 13], Operations: []
Exploring Operation: 25+93=118, Resulting Numbers: [32, 13, 118]
Generated Node #2: [32, 13, 118] from Operation: 25+93=118
Current State: 99:[32, 13, 118], Operations: ['25+93=118']
Exploring Operation: 32-13=19, Resulting Numbers: [118, 19]
Generated Node #3: [118, 19] from Operation: 32-13=19
Current State: 99:[118, 19], Operations: ['25+93=118', '32-13=19']
Exploring Operation: 118-19=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[25, 93, 32, 13], Operations: []
Exploring Operation: 93+13=106, Resulting Numbers: [25, 32, 106]
Generated Node #0,0: 99:[25, 32, 106] Operation: 93+13=106
Exploring Operation: 32-25=7, Resulting Numbers: [93, 13, 7]
Generated Node #0,1: 99:[93, 13, 7] Operation: 32-25=7
Exploring Operation: 25-13=12, Resulting Numbers: [93, 32, 12]
Generated Node #0,2: 99:[93, 32, 12] Operation: 25-13=12
Exploring Operation: 25+13=38, Resulting Numbers: [93, 32, 38]
Generated Node #0,3: 99:[93, 32, 38] Operation: 25+13=38
Start Sub Search at level 1: Moving to Node #0,2
Current State: 99:[93, 32, 12], Operations: ['25-13=12']
Exploring Operation: 32-12=20, Resulting Numbers: [93, 20]
Generated Node #0,2,0: 99:[93, 20] Operation: 32-12=20
Exploring Operation: 93-12=81, Resulting Numbers: [32, 81]
Generated Node #0,2,1: 99:[32, 81] Operation: 93-12=81
Exploring Operation: 32+12=44, Resulting Numbers: [93, 44]
Generated Node #0,2,2: 99:[93, 44] Operation: 32+12=44
Exploring Operation: 93+12=105, Resulting Numbers: [32, 105]
Generated Node #0,2,3: 99:[32, 105] Operation: 93+12=105
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 99:[32, 105], Operations: ['25-13=12', '93+12=105']
Exploring Operation: 105-32=73, Resulting Numbers: [73]
73,99 unequal: No Solution
Exploring Operation: 32+105=137, Resulting Numbers: [137]
137,99 unequal: No Solution
Exploring Operation: 32*105=3360, Resulting Numbers: [3360]
3360,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 99:[93, 20], Operations: ['25-13=12', '32-12=20']
Exploring Operation: 93+20=113, Resulting Numbers: [113]
113,99 unequal: No Solution
Exploring Operation: 93-20=73, Resulting Numbers: [73]
73,99 unequal: No Solution
Exploring Operation: 93*20=1860, Resulting Numbers: [1860]
1860,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 99:[93, 44], Operations: ['25-13=12', '32+12=44']
Exploring Operation: 93*44=4092, Resulting Numbers: [4092]
4092,99 unequal: No Solution
Exploring Operation: 93-44=49, Resulting Numbers: [49]
49,99 unequal: No Solution
Exploring Operation: 93+44=137, Resulting Numbers: [137]
137,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 99:[32, 81], Operations: ['25-13=12', '93-12=81']
Exploring Operation: 32*81=2592, Resulting Numbers: [2592]
2592,99 unequal: No Solution
Exploring Operation: 81-32=49, Resulting Numbers: [49]
49,99 unequal: No Solution
Exploring Operation: 32+81=113, Resulting Numbers: [113]
113,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[93, 13, 7], Operations: ['32-25=7']
Exploring Operation: 93+7=100, Resulting Numbers: [13, 100]
Generated Node #0,1,0: 99:[13, 100] Operation: 93+7=100
Exploring Operation: 13*7=91, Resulting Numbers: [93, 91]
Generated Node #0,1,1: 99:[93, 91] Operation: 13*7=91
Exploring Operation: 13-7=6, Resulting Numbers: [93, 6]
Generated Node #0,1,2: 99:[93, 6] Operation: 13-7=6
Exploring Operation: 93+13=106, Resulting Numbers: [7, 106]
Generated Node #0,1,3: 99:[7, 106] Operation: 93+13=106
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 99:[13, 100], Operations: ['32-25=7', '93+7=100']
Exploring Operation: 100-13=87, Resulting Numbers: [87]
87,99 unequal: No Solution
Exploring Operation: 13*100=1300, Resulting Numbers: [1300]
1300,99 unequal: No Solution
Exploring Operation: 13+100=113, Resulting Numbers: [113]
113,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 99:[93, 6], Operations: ['32-25=7', '13-7=6']
Exploring Operation: 93*6=558, Resulting Numbers: [558]
558,99 unequal: No Solution
Exploring Operation: 93+6=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[25, 93, 32, 13], Operations: []
Exploring Operation: 32-25=7, Resulting Numbers: [93, 13, 7]
Generated Node #0,1: 99:[93, 13, 7] Operation: 32-25=7
Moving to Node #0,1
Current State: 99:[93, 13, 7], Operations: ['32-25=7']
Exploring Operation: 13-7=6, Resulting Numbers: [93, 6]
Generated Node #0,1,2: 99:[93, 6] Operation: 13-7=6
Moving to Node #0,1,2
Current State: 99:[93, 6], Operations: ['32-25=7', '13-7=6']
Exploring Operation: 93+6=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.971354 | hs_4 | sum_heuristic |
[
40,
64,
52,
88
] | 44 | [
"40+64=104",
"52*88=4576",
"4576/104=44"
] | Current State: 44:[40, 64, 52, 88], Operations: []
Exploring Operation: 40+64=104, Resulting Numbers: [52, 88, 104]
Generated Node #2: [52, 88, 104] from Operation: 40+64=104
Current State: 44:[52, 88, 104], Operations: ['40+64=104']
Exploring Operation: 52*88=4576, Resulting Numbers: [104, 4576]
Generated Node #3: [104, 4576] from Operation: 52*88=4576
Current State: 44:[104, 4576], Operations: ['40+64=104', '52*88=4576']
Exploring Operation: 4576/104=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[40, 64, 52, 88], Operations: []
Exploring Operation: 88-52=36, Resulting Numbers: [40, 64, 36]
Generated Node #0,0: 44:[40, 64, 36] Operation: 88-52=36
Exploring Operation: 64-52=12, Resulting Numbers: [40, 88, 12]
Generated Node #0,1: 44:[40, 88, 12] Operation: 64-52=12
Exploring Operation: 88-40=48, Resulting Numbers: [64, 52, 48]
Generated Node #0,2: 44:[64, 52, 48] Operation: 88-40=48
Exploring Operation: 88-64=24, Resulting Numbers: [40, 52, 24]
Generated Node #0,3: 44:[40, 52, 24] Operation: 88-64=24
Start Sub Search at level 1: Moving to Node #0,3
Current State: 44:[40, 52, 24], Operations: ['88-64=24']
Exploring Operation: 40+24=64, Resulting Numbers: [52, 64]
Generated Node #0,3,0: 44:[52, 64] Operation: 40+24=64
Exploring Operation: 52-40=12, Resulting Numbers: [24, 12]
Generated Node #0,3,1: 44:[24, 12] Operation: 52-40=12
Exploring Operation: 52-24=28, Resulting Numbers: [40, 28]
Generated Node #0,3,2: 44:[40, 28] Operation: 52-24=28
Exploring Operation: 40-24=16, Resulting Numbers: [52, 16]
Generated Node #0,3,3: 44:[52, 16] Operation: 40-24=16
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 44:[24, 12], Operations: ['88-64=24', '52-40=12']
Exploring Operation: 24+12=36, Resulting Numbers: [36]
36,44 unequal: No Solution
Exploring Operation: 24*12=288, Resulting Numbers: [288]
288,44 unequal: No Solution
Exploring Operation: 24/12=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 44:[40, 28], Operations: ['88-64=24', '52-24=28']
Exploring Operation: 40*28=1120, Resulting Numbers: [1120]
1120,44 unequal: No Solution
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,44 unequal: No Solution
Exploring Operation: 40+28=68, Resulting Numbers: [68]
68,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 44:[52, 16], Operations: ['88-64=24', '40-24=16']
Exploring Operation: 52+16=68, Resulting Numbers: [68]
68,44 unequal: No Solution
Exploring Operation: 52-16=36, Resulting Numbers: [36]
36,44 unequal: No Solution
Exploring Operation: 52*16=832, Resulting Numbers: [832]
832,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 44:[52, 64], Operations: ['88-64=24', '40+24=64']
Exploring Operation: 52+64=116, Resulting Numbers: [116]
116,44 unequal: No Solution
Exploring Operation: 52*64=3328, Resulting Numbers: [3328]
3328,44 unequal: No Solution
Exploring Operation: 64-52=12, Resulting Numbers: [12]
12,44 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: 44:[40, 64, 36], Operations: ['88-52=36']
Exploring Operation: 40-36=4, Resulting Numbers: [64, 4]
Generated Node #0,0,0: 44:[64, 4] Operation: 40-36=4
Exploring Operation: 64-40=24, Resulting Numbers: [36, 24]
Generated Node #0,0,1: 44:[36, 24] Operation: 64-40=24
Exploring Operation: 64-36=28, Resulting Numbers: [40, 28]
Generated Node #0,0,2: 44:[40, 28] Operation: 64-36=28
Exploring Operation: 40+36=76, Resulting Numbers: [64, 76]
Generated Node #0,0,3: 44:[64, 76] Operation: 40+36=76
Moving to Node #0,0,1
Current State: 44:[36, 24], Operations: ['88-52=36', '64-40=24']
Exploring Operation: 36+24=60, Resulting Numbers: [60]
60,44 unequal: No Solution
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,44 unequal: No Solution
Exploring Operation: 36*24=864, Resulting Numbers: [864]
864,44 unequal: No Solution
Moving to Node #0,0,2
Current State: 44:[40, 28], Operations: ['88-52=36', '64-36=28']
Exploring Operation: 40+28=68, Resulting Numbers: [68]
68,44 unequal: No Solution
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,44 unequal: No Solution
Exploring Operation: 40*28=1120, Resulting Numbers: [1120]
1120,44 unequal: No Solution
Moving to Node #0,0,0
Current State: 44:[64, 4], Operations: ['88-52=36', '40-36=4']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,44 unequal: No Solution
Exploring Operation: 64*4=256, Resulting Numbers: [256]
256,44 unequal: No Solution
Exploring Operation: 64+4=68, Resulting Numbers: [68]
68,44 unequal: No Solution
Moving to Node #0,0,3
Current State: 44:[64, 76], Operations: ['88-52=36', '40+36=76']
Exploring Operation: 64+76=140, Resulting Numbers: [140]
140,44 unequal: No Solution
Exploring Operation: 76-64=12, Resulting Numbers: [12]
12,44 unequal: No Solution
Exploring Operation: 64*76=4864, Resulting Numbers: [4864]
4864,44 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
Current State: 44:[64, 52, 48], Operations: ['88-40=48']
Exploring Operation: 52-48=4, Resulting Numbers: [64, 4]
Generated Node #0,2,0: 44:[64, 4] Operation: 52-48=4
Exploring Operation: 64-48=16, Resulting Numbers: [52, 16]
Generated Node #0,2,1: 44:[52, 16] Operation: 64-48=16
Exploring Operation: 64+52=116, Resulting Numbers: [48, 116]
Generated Node #0,2,2: 44:[48, 116] Operation: 64+52=116
Exploring Operation: 64-52=12, Resulting Numbers: [48, 12]
Generated Node #0,2,3: 44:[48, 12] Operation: 64-52=12
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 44:[48, 12], Operations: ['88-40=48', '64-52=12']
Exploring Operation: 48+12=60, Resulting Numbers: [60]
60,44 unequal: No Solution
Exploring Operation: 48/12=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 48-12=36, Resulting Numbers: [36]
36,44 unequal: No Solution
Exploring Operation: 48*12=576, Resulting Numbers: [576]
576,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 44:[52, 16], Operations: ['88-40=48', '64-48=16']
Exploring Operation: 52+16=68, Resulting Numbers: [68]
68,44 unequal: No Solution
Exploring Operation: 52*16=832, Resulting Numbers: [832]
832,44 unequal: No Solution
Exploring Operation: 52-16=36, Resulting Numbers: [36]
36,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 44:[64, 4], Operations: ['88-40=48', '52-48=4']
Exploring Operation: 64+4=68, Resulting Numbers: [68]
68,44 unequal: No Solution
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,44 unequal: No Solution
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 64*4=256, Resulting Numbers: [256]
256,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 44:[48, 116], Operations: ['88-40=48', '64+52=116']
Exploring Operation: 116-48=68, Resulting Numbers: [68]
68,44 unequal: No Solution
Exploring Operation: 48*116=5568, Resulting Numbers: [5568]
5568,44 unequal: No Solution
Exploring Operation: 48+116=164, Resulting Numbers: [164]
164,44 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: 44:[40, 88, 12], Operations: ['64-52=12']
Exploring Operation: 40-12=28, Resulting Numbers: [88, 28]
Generated Node #0,1,0: 44:[88, 28] Operation: 40-12=28
Exploring Operation: 40+12=52, Resulting Numbers: [88, 52]
Generated Node #0,1,1: 44:[88, 52] Operation: 40+12=52
Exploring Operation: 88-40=48, Resulting Numbers: [12, 48]
Generated Node #0,1,2: 44:[12, 48] Operation: 88-40=48
Exploring Operation: 88-12=76, Resulting Numbers: [40, 76]
Generated Node #0,1,3: 44:[40, 76] Operation: 88-12=76
Moving to Node #0,1,2
Current State: 44:[12, 48], Operations: ['64-52=12', '88-40=48']
Exploring Operation: 12+48=60, Resulting Numbers: [60]
60,44 unequal: No Solution
Exploring Operation: 48-12=36, Resulting Numbers: [36]
36,44 unequal: No Solution
Exploring Operation: 48/12=4, Resulting Numbers: [4]
4,44 unequal: No Solution
Exploring Operation: 12*48=576, Resulting Numbers: [576]
576,44 unequal: No Solution
Moving to Node #0,1,3
Current State: 44:[40, 76], Operations: ['64-52=12', '88-12=76']
Exploring Operation: 76-40=36, Resulting Numbers: [36]
36,44 unequal: No Solution
Exploring Operation: 40+76=116, Resulting Numbers: [116]
116,44 unequal: No Solution
Exploring Operation: 40*76=3040, Resulting Numbers: [3040]
3040,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[88, 28], Operations: ['64-52=12', '40-12=28']
Exploring Operation: 88+28=116, Resulting Numbers: [116]
116,44 unequal: No Solution
Exploring Operation: 88*28=2464, Resulting Numbers: [2464]
2464,44 unequal: No Solution
Exploring Operation: 88-28=60, Resulting Numbers: [60]
60,44 unequal: No Solution
Moving to Node #0,1,1
Current State: 44:[88, 52], Operations: ['64-52=12', '40+12=52']
Exploring Operation: 88*52=4576, Resulting Numbers: [4576]
4576,44 unequal: No Solution
Exploring Operation: 88+52=140, Resulting Numbers: [140]
140,44 unequal: No Solution
Exploring Operation: 88-52=36, Resulting Numbers: [36]
36,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
21,
81,
6,
64
] | 81 | [
"21+81=102",
"102/6=17",
"64+17=81"
] | Current State: 81:[21, 81, 6, 64], Operations: []
Exploring Operation: 21+81=102, Resulting Numbers: [6, 64, 102]
Generated Node #2: [6, 64, 102] from Operation: 21+81=102
Current State: 81:[6, 64, 102], Operations: ['21+81=102']
Exploring Operation: 102/6=17, Resulting Numbers: [64, 17]
Generated Node #3: [64, 17] from Operation: 102/6=17
Current State: 81:[64, 17], Operations: ['21+81=102', '102/6=17']
Exploring Operation: 64+17=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[21, 81, 6, 64], Operations: []
Exploring Operation: 21+64=85, Resulting Numbers: [81, 6, 85]
Generated Node #0,0: 81:[81, 6, 85] Operation: 21+64=85
Moving to Node #0,0
Current State: 81:[81, 6, 85], Operations: ['21+64=85']
Exploring Operation: 85-6=79, Resulting Numbers: [81, 79]
Generated Node #0,0,0: 81:[81, 79] Operation: 85-6=79
Moving to Node #0,0,0
Current State: 81:[81, 79], Operations: ['21+64=85', '85-6=79']
Exploring Operation: 81-79=2, Resulting Numbers: [2]
2,81 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
28,
38,
24,
11
] | 18 | [
"28+38=66",
"66/11=6",
"24-6=18"
] | Current State: 18:[28, 38, 24, 11], Operations: []
Exploring Operation: 28+38=66, Resulting Numbers: [24, 11, 66]
Generated Node #2: [24, 11, 66] from Operation: 28+38=66
Current State: 18:[24, 11, 66], Operations: ['28+38=66']
Exploring Operation: 66/11=6, Resulting Numbers: [24, 6]
Generated Node #3: [24, 6] from Operation: 66/11=6
Current State: 18:[24, 6], Operations: ['28+38=66', '66/11=6']
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[28, 38, 24, 11], Operations: []
Exploring Operation: 38-11=27, Resulting Numbers: [28, 24, 27]
Generated Node #0,0: 18:[28, 24, 27] Operation: 38-11=27
Exploring Operation: 28-11=17, Resulting Numbers: [38, 24, 17]
Generated Node #0,1: 18:[38, 24, 17] Operation: 28-11=17
Exploring Operation: 38-28=10, Resulting Numbers: [24, 11, 10]
Generated Node #0,2: 18:[24, 11, 10] Operation: 38-28=10
Exploring Operation: 28-24=4, Resulting Numbers: [38, 11, 4]
Generated Node #0,3: 18:[38, 11, 4] Operation: 28-24=4
Exploring Operation: 38-24=14, Resulting Numbers: [28, 11, 14]
Generated Node #0,4: 18:[28, 11, 14] Operation: 38-24=14
Moving to Node #0,2
Current State: 18:[24, 11, 10], Operations: ['38-28=10']
Exploring Operation: 24+11=35, Resulting Numbers: [10, 35]
Generated Node #0,2,0: 18:[10, 35] Operation: 24+11=35
Exploring Operation: 24-11=13, Resulting Numbers: [10, 13]
Generated Node #0,2,1: 18:[10, 13] Operation: 24-11=13
Exploring Operation: 11-10=1, Resulting Numbers: [24, 1]
Generated Node #0,2,2: 18:[24, 1] Operation: 11-10=1
Exploring Operation: 24-10=14, Resulting Numbers: [11, 14]
Generated Node #0,2,3: 18:[11, 14] Operation: 24-10=14
Exploring Operation: 11+10=21, Resulting Numbers: [24, 21]
Generated Node #0,2,4: 18:[24, 21] Operation: 11+10=21
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 18:[10, 13], Operations: ['38-28=10', '24-11=13']
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 10*13=130, Resulting Numbers: [130]
130,18 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 #0,2,3
Current State: 18:[11, 14], Operations: ['38-28=10', '24-10=14']
Exploring Operation: 11*14=154, Resulting Numbers: [154]
154,18 unequal: No Solution
Exploring Operation: 11+14=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,18 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 #0,2,2
Current State: 18:[24, 1], Operations: ['38-28=10', '11-10=1']
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,18 unequal: No Solution
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,18 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 #0,2,4
Current State: 18:[24, 21], Operations: ['38-28=10', '11+10=21']
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,18 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 #0,2,0
Current State: 18:[10, 35], Operations: ['38-28=10', '24+11=35']
Exploring Operation: 10+35=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 10*35=350, Resulting Numbers: [350]
350,18 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,18 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: 18:[28, 11, 14], Operations: ['38-24=14']
Exploring Operation: 28-14=14, Resulting Numbers: [11, 14]
Generated Node #0,4,0: 18:[11, 14] Operation: 28-14=14
Exploring Operation: 28/14=2, Resulting Numbers: [11, 2]
Generated Node #0,4,1: 18:[11, 2] Operation: 28/14=2
Exploring Operation: 28-11=17, Resulting Numbers: [14, 17]
Generated Node #0,4,2: 18:[14, 17] Operation: 28-11=17
Exploring Operation: 11+14=25, Resulting Numbers: [28, 25]
Generated Node #0,4,3: 18:[28, 25] Operation: 11+14=25
Exploring Operation: 14-11=3, Resulting Numbers: [28, 3]
Generated Node #0,4,4: 18:[28, 3] Operation: 14-11=3
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 18:[11, 2], Operations: ['38-24=14', '28/14=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,18 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,18 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:[14, 17], Operations: ['38-24=14', '28-11=17']
Exploring Operation: 14+17=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 14*17=238, Resulting Numbers: [238]
238,18 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,18 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:[11, 14], Operations: ['38-24=14', '28-14=14']
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 11+14=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Exploring Operation: 11*14=154, Resulting Numbers: [154]
154,18 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:[28, 3], Operations: ['38-24=14', '14-11=3']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,18 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:[28, 25], Operations: ['38-24=14', '11+14=25']
Exploring Operation: 28+25=53, Resulting Numbers: [53]
53,18 unequal: No Solution
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 28*25=700, Resulting Numbers: [700]
700,18 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:[38, 11, 4], Operations: ['28-24=4']
Exploring Operation: 11+4=15, Resulting Numbers: [38, 15]
Generated Node #0,3,0: 18:[38, 15] Operation: 11+4=15
Exploring Operation: 38-4=34, Resulting Numbers: [11, 34]
Generated Node #0,3,1: 18:[11, 34] Operation: 38-4=34
Exploring Operation: 38+4=42, Resulting Numbers: [11, 42]
Generated Node #0,3,2: 18:[11, 42] Operation: 38+4=42
Exploring Operation: 38-11=27, Resulting Numbers: [4, 27]
Generated Node #0,3,3: 18:[4, 27] Operation: 38-11=27
Exploring Operation: 11-4=7, Resulting Numbers: [38, 7]
Generated Node #0,3,4: 18:[38, 7] Operation: 11-4=7
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 18:[4, 27], Operations: ['28-24=4', '38-11=27']
Exploring Operation: 4+27=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 4*27=108, Resulting Numbers: [108]
108,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 18:[11, 34], Operations: ['28-24=4', '38-4=34']
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 11*34=374, Resulting Numbers: [374]
374,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 18:[38, 7], Operations: ['28-24=4', '11-4=7']
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 38*7=266, Resulting Numbers: [266]
266,18 unequal: No Solution
Exploring Operation: 38+7=45, Resulting Numbers: [45]
45,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 18:[38, 15], Operations: ['28-24=4', '11+4=15']
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 38*15=570, Resulting Numbers: [570]
570,18 unequal: No Solution
Exploring Operation: 38+15=53, Resulting Numbers: [53]
53,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 18:[11, 42], Operations: ['28-24=4', '38+4=42']
Exploring Operation: 11+42=53, Resulting Numbers: [53]
53,18 unequal: No Solution
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 11*42=462, Resulting Numbers: [462]
462,18 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:[28, 24, 27], Operations: ['38-11=27']
Exploring Operation: 28+27=55, Resulting Numbers: [24, 55]
Generated Node #0,0,0: 18:[24, 55] Operation: 28+27=55
Exploring Operation: 28+24=52, Resulting Numbers: [27, 52]
Generated Node #0,0,1: 18:[27, 52] Operation: 28+24=52
Exploring Operation: 28-27=1, Resulting Numbers: [24, 1]
Generated Node #0,0,2: 18:[24, 1] Operation: 28-27=1
Exploring Operation: 27-24=3, Resulting Numbers: [28, 3]
Generated Node #0,0,3: 18:[28, 3] Operation: 27-24=3
Exploring Operation: 28-24=4, Resulting Numbers: [27, 4]
Generated Node #0,0,4: 18:[27, 4] Operation: 28-24=4
Moving to Node #0,1
Current State: 18:[38, 24, 17], Operations: ['28-11=17']
Exploring Operation: 24-17=7, Resulting Numbers: [38, 7]
Generated Node #0,1,0: 18:[38, 7] Operation: 24-17=7
Exploring Operation: 24+17=41, Resulting Numbers: [38, 41]
Generated Node #0,1,1: 18:[38, 41] Operation: 24+17=41
Exploring Operation: 38-17=21, Resulting Numbers: [24, 21]
Generated Node #0,1,2: 18:[24, 21] Operation: 38-17=21
Exploring Operation: 38-24=14, Resulting Numbers: [17, 14]
Generated Node #0,1,3: 18:[17, 14] Operation: 38-24=14
Exploring Operation: 38+17=55, Resulting Numbers: [24, 55]
Generated Node #0,1,4: 18:[24, 55] Operation: 38+17=55
Moving to Node #0,1,3
Current State: 18:[17, 14], Operations: ['28-11=17', '38-24=14']
Exploring Operation: 17*14=238, Resulting Numbers: [238]
238,18 unequal: No Solution
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Moving to Node #0,0,2
Current State: 18:[24, 1], Operations: ['38-11=27', '28-27=1']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,18 unequal: No Solution
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,18 unequal: No Solution
Moving to Node #0,1,2
Current State: 18:[24, 21], Operations: ['28-11=17', '38-17=21']
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,18 unequal: No Solution
Moving to Node #0,0,4
Current State: 18:[27, 4], Operations: ['38-11=27', '28-24=4']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 27*4=108, Resulting Numbers: [108]
108,18 unequal: No Solution
Moving to Node #0,0,3
Current State: 18:[28, 3], Operations: ['38-11=27', '27-24=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,18 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Moving to Node #0,1,0
Current State: 18:[38, 7], Operations: ['28-11=17', '24-17=7']
Exploring Operation: 38+7=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 38*7=266, Resulting Numbers: [266]
266,18 unequal: No Solution
Moving to Node #0,1,4
Current State: 18:[24, 55], Operations: ['28-11=17', '38+17=55']
Exploring Operation: 24*55=1320, Resulting Numbers: [1320]
1320,18 unequal: No Solution
Exploring Operation: 55-24=31, Resulting Numbers: [31]
31,18 unequal: No Solution
Exploring Operation: 24+55=79, Resulting Numbers: [79]
79,18 unequal: No Solution
Moving to Node #0,1,1
Current State: 18:[38, 41], Operations: ['28-11=17', '24+17=41']
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,18 unequal: No Solution
Exploring Operation: 38*41=1558, Resulting Numbers: [1558]
1558,18 unequal: No Solution
Exploring Operation: 38+41=79, Resulting Numbers: [79]
79,18 unequal: No Solution
Moving to Node #0,0,1
Current State: 18:[27, 52], Operations: ['38-11=27', '28+24=52']
Exploring Operation: 27*52=1404, Resulting Numbers: [1404]
1404,18 unequal: No Solution
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,18 unequal: No Solution
Exploring Operation: 27+52=79, Resulting Numbers: [79]
79,18 unequal: No Solution
Moving to Node #0,0,0
Current State: 18:[24, 55], Operations: ['38-11=27', '28+27=55']
Exploring Operation: 24+55=79, Resulting Numbers: [79]
79,18 unequal: No Solution
Exploring Operation: 24*55=1320, Resulting Numbers: [1320]
1320,18 unequal: No Solution
Exploring Operation: 55-24=31, Resulting Numbers: [31]
31,18 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
15,
3,
57,
90
] | 34 | [
"57+90=147",
"147/3=49",
"49-15=34"
] | Current State: 34:[15, 3, 57, 90], Operations: []
Exploring Operation: 57+90=147, Resulting Numbers: [15, 3, 147]
Generated Node #2: [15, 3, 147] from Operation: 57+90=147
Current State: 34:[15, 3, 147], Operations: ['57+90=147']
Exploring Operation: 147/3=49, Resulting Numbers: [15, 49]
Generated Node #3: [15, 49] from Operation: 147/3=49
Current State: 34:[15, 49], Operations: ['57+90=147', '147/3=49']
Exploring Operation: 49-15=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[15, 3, 57, 90], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [3, 57, 6]
Generated Node #0,0: 34:[3, 57, 6] Operation: 90/15=6
Exploring Operation: 57/3=19, Resulting Numbers: [15, 90, 19]
Generated Node #0,1: 34:[15, 90, 19] Operation: 57/3=19
Exploring Operation: 90/3=30, Resulting Numbers: [15, 57, 30]
Generated Node #0,2: 34:[15, 57, 30] Operation: 90/3=30
Exploring Operation: 90-57=33, Resulting Numbers: [15, 3, 33]
Generated Node #0,3: 34:[15, 3, 33] Operation: 90-57=33
Exploring Operation: 57-15=42, Resulting Numbers: [3, 90, 42]
Generated Node #0,4: 34:[3, 90, 42] Operation: 57-15=42
Moving to Node #0,3
Current State: 34:[15, 3, 33], Operations: ['90-57=33']
Exploring Operation: 3+33=36, Resulting Numbers: [15, 36]
Generated Node #0,3,0: 34:[15, 36] Operation: 3+33=36
Exploring Operation: 15-3=12, Resulting Numbers: [33, 12]
Generated Node #0,3,1: 34:[33, 12] Operation: 15-3=12
Exploring Operation: 15+3=18, Resulting Numbers: [33, 18]
Generated Node #0,3,2: 34:[33, 18] Operation: 15+3=18
Exploring Operation: 33-15=18, Resulting Numbers: [3, 18]
Generated Node #0,3,3: 34:[3, 18] Operation: 33-15=18
Exploring Operation: 15/3=5, Resulting Numbers: [33, 5]
Generated Node #0,3,4: 34:[33, 5] Operation: 15/3=5
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 34:[33, 18], Operations: ['90-57=33', '15+3=18']
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 33*18=594, Resulting Numbers: [594]
594,34 unequal: No Solution
Exploring Operation: 33+18=51, Resulting Numbers: [51]
51,34 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 #0,3,3
Current State: 34:[3, 18], Operations: ['90-57=33', '33-15=18']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,34 unequal: No Solution
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,34 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 #0,3,0
Current State: 34:[15, 36], Operations: ['90-57=33', '3+33=36']
Exploring Operation: 15+36=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,34 unequal: No Solution
Exploring Operation: 15*36=540, Resulting Numbers: [540]
540,34 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 #0,3,4
Current State: 34:[33, 5], Operations: ['90-57=33', '15/3=5']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,34 unequal: No Solution
Exploring Operation: 33+5=38, Resulting Numbers: [38]
38,34 unequal: No Solution
Exploring Operation: 33*5=165, Resulting Numbers: [165]
165,34 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 #0,3,1
Current State: 34:[33, 12], Operations: ['90-57=33', '15-3=12']
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,34 unequal: No Solution
Exploring Operation: 33+12=45, Resulting Numbers: [45]
45,34 unequal: No Solution
Exploring Operation: 33*12=396, Resulting Numbers: [396]
396,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 34:[3, 57, 6], Operations: ['90/15=6']
Exploring Operation: 6/3=2, Resulting Numbers: [57, 2]
Generated Node #0,0,0: 34:[57, 2] Operation: 6/3=2
Exploring Operation: 57/3=19, Resulting Numbers: [6, 19]
Generated Node #0,0,1: 34:[6, 19] Operation: 57/3=19
Exploring Operation: 57-3=54, Resulting Numbers: [6, 54]
Generated Node #0,0,2: 34:[6, 54] Operation: 57-3=54
Exploring Operation: 57-6=51, Resulting Numbers: [3, 51]
Generated Node #0,0,3: 34:[3, 51] Operation: 57-6=51
Exploring Operation: 3*6=18, Resulting Numbers: [57, 18]
Generated Node #0,0,4: 34:[57, 18] Operation: 3*6=18
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 34:[6, 19], Operations: ['90/15=6', '57/3=19']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,34 unequal: No Solution
Exploring Operation: 6*19=114, Resulting Numbers: [114]
114,34 unequal: No Solution
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,34 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:[3, 51], Operations: ['90/15=6', '57-6=51']
Exploring Operation: 3*51=153, Resulting Numbers: [153]
153,34 unequal: No Solution
Exploring Operation: 3+51=54, Resulting Numbers: [54]
54,34 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,34 unequal: No Solution
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,34 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:[57, 2], Operations: ['90/15=6', '6/3=2']
Exploring Operation: 57*2=114, Resulting Numbers: [114]
114,34 unequal: No Solution
Exploring Operation: 57+2=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,34 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 #0,0,2
Current State: 34:[6, 54], Operations: ['90/15=6', '57-3=54']
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,34 unequal: No Solution
Exploring Operation: 6+54=60, Resulting Numbers: [60]
60,34 unequal: No Solution
Exploring Operation: 6*54=324, Resulting Numbers: [324]
324,34 unequal: No Solution
Exploring Operation: 54/6=9, Resulting Numbers: [9]
9,34 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 #0,0,4
Current State: 34:[57, 18], Operations: ['90/15=6', '3*6=18']
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,34 unequal: No Solution
Exploring Operation: 57+18=75, Resulting Numbers: [75]
75,34 unequal: No Solution
Exploring Operation: 57*18=1026, Resulting Numbers: [1026]
1026,34 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: 34:[15, 57, 30], Operations: ['90/3=30']
Exploring Operation: 57-30=27, Resulting Numbers: [15, 27]
Generated Node #0,2,0: 34:[15, 27] Operation: 57-30=27
Exploring Operation: 30/15=2, Resulting Numbers: [57, 2]
Generated Node #0,2,1: 34:[57, 2] Operation: 30/15=2
Exploring Operation: 30-15=15, Resulting Numbers: [57, 15]
Generated Node #0,2,2: 34:[57, 15] Operation: 30-15=15
Exploring Operation: 15+30=45, Resulting Numbers: [57, 45]
Generated Node #0,2,3: 34:[57, 45] Operation: 15+30=45
Exploring Operation: 57-15=42, Resulting Numbers: [30, 42]
Generated Node #0,2,4: 34:[30, 42] Operation: 57-15=42
Moving to Node #0,1
Current State: 34:[15, 90, 19], Operations: ['57/3=19']
Exploring Operation: 90-15=75, Resulting Numbers: [19, 75]
Generated Node #0,1,0: 34:[19, 75] Operation: 90-15=75
Exploring Operation: 19-15=4, Resulting Numbers: [90, 4]
Generated Node #0,1,1: 34:[90, 4] Operation: 19-15=4
Exploring Operation: 90-19=71, Resulting Numbers: [15, 71]
Generated Node #0,1,2: 34:[15, 71] Operation: 90-19=71
Exploring Operation: 90/15=6, Resulting Numbers: [19, 6]
Generated Node #0,1,3: 34:[19, 6] Operation: 90/15=6
Exploring Operation: 15+19=34, Resulting Numbers: [90, 34]
Generated Node #0,1,4: 34:[90, 34] Operation: 15+19=34
Moving to Node #0,4
Current State: 34:[3, 90, 42], Operations: ['57-15=42']
Exploring Operation: 42-3=39, Resulting Numbers: [90, 39]
Generated Node #0,4,0: 34:[90, 39] Operation: 42-3=39
Exploring Operation: 42/3=14, Resulting Numbers: [90, 14]
Generated Node #0,4,1: 34:[90, 14] Operation: 42/3=14
Exploring Operation: 90/3=30, Resulting Numbers: [42, 30]
Generated Node #0,4,2: 34:[42, 30] Operation: 90/3=30
Exploring Operation: 90-42=48, Resulting Numbers: [3, 48]
Generated Node #0,4,3: 34:[3, 48] Operation: 90-42=48
Exploring Operation: 90-3=87, Resulting Numbers: [42, 87]
Generated Node #0,4,4: 34:[42, 87] Operation: 90-3=87
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 34:[42, 30], Operations: ['57-15=42', '90/3=30']
Exploring Operation: 42+30=72, Resulting Numbers: [72]
72,34 unequal: No Solution
Exploring Operation: 42-30=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 42*30=1260, Resulting Numbers: [1260]
1260,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 34:[3, 48], Operations: ['57-15=42', '90-42=48']
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 3*48=144, Resulting Numbers: [144]
144,34 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 34:[90, 14], Operations: ['57-15=42', '42/3=14']
Exploring Operation: 90+14=104, Resulting Numbers: [104]
104,34 unequal: No Solution
Exploring Operation: 90*14=1260, Resulting Numbers: [1260]
1260,34 unequal: No Solution
Exploring Operation: 90-14=76, Resulting Numbers: [76]
76,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 34:[90, 39], Operations: ['57-15=42', '42-3=39']
Exploring Operation: 90-39=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 90*39=3510, Resulting Numbers: [3510]
3510,34 unequal: No Solution
Exploring Operation: 90+39=129, Resulting Numbers: [129]
129,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 34:[42, 87], Operations: ['57-15=42', '90-3=87']
Exploring Operation: 42+87=129, Resulting Numbers: [129]
129,34 unequal: No Solution
Exploring Operation: 42*87=3654, Resulting Numbers: [3654]
3654,34 unequal: No Solution
Exploring Operation: 87-42=45, Resulting Numbers: [45]
45,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 34:[19, 6], Operations: ['57/3=19', '90/15=6']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,34 unequal: No Solution
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,34 unequal: No Solution
Exploring Operation: 19*6=114, Resulting Numbers: [114]
114,34 unequal: No Solution
Moving to Node #0,2,0
Current State: 34:[15, 27], Operations: ['90/3=30', '57-30=27']
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 15*27=405, Resulting Numbers: [405]
405,34 unequal: No Solution
Exploring Operation: 15+27=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Moving to Node #0,2,4
Current State: 34:[30, 42], Operations: ['90/3=30', '57-15=42']
Exploring Operation: 42-30=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 30*42=1260, Resulting Numbers: [1260]
1260,34 unequal: No Solution
Exploring Operation: 30+42=72, Resulting Numbers: [72]
72,34 unequal: No Solution
Moving to Node #0,2,1
Current State: 34:[57, 2], Operations: ['90/3=30', '30/15=2']
Exploring Operation: 57*2=114, Resulting Numbers: [114]
114,34 unequal: No Solution
Exploring Operation: 57+2=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,34 unequal: No Solution
Moving to Node #0,2,2
Current State: 34:[57, 15], Operations: ['90/3=30', '30-15=15']
Exploring Operation: 57*15=855, Resulting Numbers: [855]
855,34 unequal: No Solution
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Exploring Operation: 57+15=72, Resulting Numbers: [72]
72,34 unequal: No Solution
Moving to Node #0,2,3
Current State: 34:[57, 45], Operations: ['90/3=30', '15+30=45']
Exploring Operation: 57*45=2565, Resulting Numbers: [2565]
2565,34 unequal: No Solution
Exploring Operation: 57-45=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 57+45=102, Resulting Numbers: [102]
102,34 unequal: No Solution
Moving to Node #0,1,2
Current State: 34:[15, 71], Operations: ['57/3=19', '90-19=71']
Exploring Operation: 15*71=1065, Resulting Numbers: [1065]
1065,34 unequal: No Solution
Exploring Operation: 15+71=86, Resulting Numbers: [86]
86,34 unequal: No Solution
Exploring Operation: 71-15=56, Resulting Numbers: [56]
56,34 unequal: No Solution
Moving to Node #0,1,0
Current State: 34:[19, 75], Operations: ['57/3=19', '90-15=75']
Exploring Operation: 75-19=56, Resulting Numbers: [56]
56,34 unequal: No Solution
Exploring Operation: 19+75=94, Resulting Numbers: [94]
94,34 unequal: No Solution
Exploring Operation: 19*75=1425, Resulting Numbers: [1425]
1425,34 unequal: No Solution
Moving to Node #0,1,4
Current State: 34:[90, 34], Operations: ['57/3=19', '15+19=34']
Exploring Operation: 90-34=56, Resulting Numbers: [56]
56,34 unequal: No Solution
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
Moving to Node #0,1,1
Current State: 34:[90, 4], Operations: ['57/3=19', '19-15=4']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,34 unequal: No Solution
Exploring Operation: 90+4=94, Resulting Numbers: [94]
94,34 unequal: No Solution
Exploring Operation: 90*4=360, Resulting Numbers: [360]
360,34 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
6,
57,
20,
27
] | 100 | [
"57-27=30",
"30/6=5",
"20*5=100"
] | Current State: 100:[6, 57, 20, 27], Operations: []
Exploring Operation: 57-27=30, Resulting Numbers: [6, 20, 30]
Generated Node #2: [6, 20, 30] from Operation: 57-27=30
Current State: 100:[6, 20, 30], Operations: ['57-27=30']
Exploring Operation: 30/6=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 30/6=5
Current State: 100:[20, 5], Operations: ['57-27=30', '30/6=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[6, 57, 20, 27], Operations: []
Exploring Operation: 6+20=26, Resulting Numbers: [57, 27, 26]
Generated Node #0,0: 100:[57, 27, 26] Operation: 6+20=26
Exploring Operation: 27-6=21, Resulting Numbers: [57, 20, 21]
Generated Node #0,1: 100:[57, 20, 21] Operation: 27-6=21
Exploring Operation: 57-27=30, Resulting Numbers: [6, 20, 30]
Generated Node #0,2: 100:[6, 20, 30] Operation: 57-27=30
Exploring Operation: 57-6=51, Resulting Numbers: [20, 27, 51]
Generated Node #0,3: 100:[20, 27, 51] Operation: 57-6=51
Start Sub Search at level 1: Moving to Node #0,3
Current State: 100:[20, 27, 51], Operations: ['57-6=51']
Exploring Operation: 51-20=31, Resulting Numbers: [27, 31]
Generated Node #0,3,0: 100:[27, 31] Operation: 51-20=31
Exploring Operation: 20+27=47, Resulting Numbers: [51, 47]
Generated Node #0,3,1: 100:[51, 47] Operation: 20+27=47
Exploring Operation: 27-20=7, Resulting Numbers: [51, 7]
Generated Node #0,3,2: 100:[51, 7] Operation: 27-20=7
Exploring Operation: 51-27=24, Resulting Numbers: [20, 24]
Generated Node #0,3,3: 100:[20, 24] Operation: 51-27=24
Moving to Node #0,3,3
Current State: 100:[20, 24], Operations: ['57-6=51', '51-27=24']
Exploring Operation: 20+24=44, Resulting Numbers: [44]
44,100 unequal: No Solution
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 20*24=480, Resulting Numbers: [480]
480,100 unequal: No Solution
Moving to Node #0,3,2
Current State: 100:[51, 7], Operations: ['57-6=51', '27-20=7']
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,100 unequal: No Solution
Exploring Operation: 51+7=58, Resulting Numbers: [58]
58,100 unequal: No Solution
Exploring Operation: 51*7=357, Resulting Numbers: [357]
357,100 unequal: No Solution
Moving to Node #0,3,1
Current State: 100:[51, 47], Operations: ['57-6=51', '20+27=47']
Exploring Operation: 51*47=2397, Resulting Numbers: [2397]
2397,100 unequal: No Solution
Exploring Operation: 51+47=98, Resulting Numbers: [98]
98,100 unequal: No Solution
Exploring Operation: 51-47=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Moving to Node #0,3,0
Current State: 100:[27, 31], Operations: ['57-6=51', '51-20=31']
Exploring Operation: 27*31=837, Resulting Numbers: [837]
837,100 unequal: No Solution
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Exploring Operation: 27+31=58, Resulting Numbers: [58]
58,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[6, 20, 30], Operations: ['57-27=30']
Exploring Operation: 20+30=50, Resulting Numbers: [6, 50]
Generated Node #0,2,0: 100:[6, 50] Operation: 20+30=50
Exploring Operation: 30-6=24, Resulting Numbers: [20, 24]
Generated Node #0,2,1: 100:[20, 24] Operation: 30-6=24
Exploring Operation: 30/6=5, Resulting Numbers: [20, 5]
Generated Node #0,2,2: 100:[20, 5] Operation: 30/6=5
Exploring Operation: 30-20=10, Resulting Numbers: [6, 10]
Generated Node #0,2,3: 100:[6, 10] Operation: 30-20=10
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 100:[20, 5], Operations: ['57-27=30', '30/6=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[6, 57, 20, 27], Operations: []
Exploring Operation: 57-27=30, Resulting Numbers: [6, 20, 30]
Generated Node #0,2: 100:[6, 20, 30] Operation: 57-27=30
Moving to Node #0,2
Current State: 100:[6, 20, 30], Operations: ['57-27=30']
Exploring Operation: 30/6=5, Resulting Numbers: [20, 5]
Generated Node #0,2,2: 100:[20, 5] Operation: 30/6=5
Moving to Node #0,2,2
Current State: 100:[20, 5], Operations: ['57-27=30', '30/6=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.974826 | hs_4 | mult_heuristic |
[
41,
38,
94,
18
] | 73 | [
"41-38=3",
"94-18=76",
"76-3=73"
] | Current State: 73:[41, 38, 94, 18], Operations: []
Exploring Operation: 41-38=3, Resulting Numbers: [94, 18, 3]
Generated Node #2: [94, 18, 3] from Operation: 41-38=3
Current State: 73:[94, 18, 3], Operations: ['41-38=3']
Exploring Operation: 94-18=76, Resulting Numbers: [3, 76]
Generated Node #3: [3, 76] from Operation: 94-18=76
Current State: 73:[3, 76], Operations: ['41-38=3', '94-18=76']
Exploring Operation: 76-3=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[41, 38, 94, 18], Operations: []
Exploring Operation: 38+18=56, Resulting Numbers: [41, 94, 56]
Generated Node #0,0: 73:[41, 94, 56] Operation: 38+18=56
Exploring Operation: 41+18=59, Resulting Numbers: [38, 94, 59]
Generated Node #0,1: 73:[38, 94, 59] Operation: 41+18=59
Exploring Operation: 94-18=76, Resulting Numbers: [41, 38, 76]
Generated Node #0,2: 73:[41, 38, 76] Operation: 94-18=76
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[41, 94, 56], Operations: ['38+18=56']
Exploring Operation: 41+56=97, Resulting Numbers: [94, 97]
Generated Node #0,0,0: 73:[94, 97] Operation: 41+56=97
Exploring Operation: 94-56=38, Resulting Numbers: [41, 38]
Generated Node #0,0,1: 73:[41, 38] Operation: 94-56=38
Exploring Operation: 94-41=53, Resulting Numbers: [56, 53]
Generated Node #0,0,2: 73:[56, 53] Operation: 94-41=53
Moving to Node #0,0,2
Current State: 73:[56, 53], Operations: ['38+18=56', '94-41=53']
Exploring Operation: 56+53=109, Resulting Numbers: [109]
109,73 unequal: No Solution
Exploring Operation: 56*53=2968, Resulting Numbers: [2968]
2968,73 unequal: No Solution
Exploring Operation: 56-53=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[94, 97], Operations: ['38+18=56', '41+56=97']
Exploring Operation: 97-94=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 94+97=191, Resulting Numbers: [191]
191,73 unequal: No Solution
Exploring Operation: 94*97=9118, Resulting Numbers: [9118]
9118,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[41, 38], Operations: ['38+18=56', '94-56=38']
Exploring Operation: 41*38=1558, Resulting Numbers: [1558]
1558,73 unequal: No Solution
Exploring Operation: 41+38=79, Resulting Numbers: [79]
79,73 unequal: No Solution
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,73 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:[38, 94, 59], Operations: ['41+18=59']
Exploring Operation: 38+94=132, Resulting Numbers: [59, 132]
Generated Node #0,1,0: 73:[59, 132] Operation: 38+94=132
Exploring Operation: 94-38=56, Resulting Numbers: [59, 56]
Generated Node #0,1,1: 73:[59, 56] Operation: 94-38=56
Exploring Operation: 38+59=97, Resulting Numbers: [94, 97]
Generated Node #0,1,2: 73:[94, 97] Operation: 38+59=97
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 73:[59, 56], Operations: ['41+18=59', '94-38=56']
Exploring Operation: 59-56=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 59*56=3304, Resulting Numbers: [3304]
3304,73 unequal: No Solution
Exploring Operation: 59+56=115, Resulting Numbers: [115]
115,73 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 #0,1,2
Current State: 73:[94, 97], Operations: ['41+18=59', '38+59=97']
Exploring Operation: 97-94=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 94+97=191, Resulting Numbers: [191]
191,73 unequal: No Solution
Exploring Operation: 94*97=9118, Resulting Numbers: [9118]
9118,73 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 #0,1,0
Current State: 73:[59, 132], Operations: ['41+18=59', '38+94=132']
Exploring Operation: 59+132=191, Resulting Numbers: [191]
191,73 unequal: No Solution
Exploring Operation: 59*132=7788, Resulting Numbers: [7788]
7788,73 unequal: No Solution
Exploring Operation: 132-59=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[41, 38, 94, 18], Operations: []
Exploring Operation: 41+18=59, Resulting Numbers: [38, 94, 59]
Generated Node #0,1: 73:[38, 94, 59] Operation: 41+18=59
Moving to Node #0,1
Current State: 73:[38, 94, 59], Operations: ['41+18=59']
Exploring Operation: 38+94=132, Resulting Numbers: [59, 132]
Generated Node #0,1,0: 73:[59, 132] Operation: 38+94=132
Moving to Node #0,1,0
Current State: 73:[59, 132], Operations: ['41+18=59', '38+94=132']
Exploring Operation: 132-59=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 | hs_3 | sum_heuristic |
[
16,
34,
62,
64
] | 52 | [
"16+34=50",
"64-62=2",
"50+2=52"
] | Current State: 52:[16, 34, 62, 64], Operations: []
Exploring Operation: 16+34=50, Resulting Numbers: [62, 64, 50]
Generated Node #2: [62, 64, 50] from Operation: 16+34=50
Current State: 52:[62, 64, 50], Operations: ['16+34=50']
Exploring Operation: 64-62=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 64-62=2
Current State: 52:[50, 2], Operations: ['16+34=50', '64-62=2']
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[16, 34, 62, 64], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [16, 34, 2]
Generated Node #0,0: 52:[16, 34, 2] Operation: 64-62=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[16, 34, 2], Operations: ['64-62=2']
Exploring Operation: 16+34=50, Resulting Numbers: [2, 50]
Generated Node #0,0,0: 52:[2, 50] Operation: 16+34=50
Moving to Node #0,0,0
Current State: 52:[2, 50], Operations: ['64-62=2', '16+34=50']
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[16, 34, 62, 64], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [16, 34, 2]
Generated Node #0,0: 52:[16, 34, 2] Operation: 64-62=2
Moving to Node #0,0
Current State: 52:[16, 34, 2], Operations: ['64-62=2']
Exploring Operation: 16+34=50, Resulting Numbers: [2, 50]
Generated Node #0,0,0: 52:[2, 50] Operation: 16+34=50
Moving to Node #0,0,0
Current State: 52:[2, 50], Operations: ['64-62=2', '16+34=50']
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
31,
55,
5,
15
] | 14 | [
"55-31=24",
"15-5=10",
"24-10=14"
] | Current State: 14:[31, 55, 5, 15], Operations: []
Exploring Operation: 55-31=24, Resulting Numbers: [5, 15, 24]
Generated Node #2: [5, 15, 24] from Operation: 55-31=24
Current State: 14:[5, 15, 24], Operations: ['55-31=24']
Exploring Operation: 15-5=10, Resulting Numbers: [24, 10]
Generated Node #3: [24, 10] from Operation: 15-5=10
Current State: 14:[24, 10], Operations: ['55-31=24', '15-5=10']
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[31, 55, 5, 15], Operations: []
Exploring Operation: 55/5=11, Resulting Numbers: [31, 15, 11]
Generated Node #0,0: 14:[31, 15, 11] Operation: 55/5=11
Exploring Operation: 31-5=26, Resulting Numbers: [55, 15, 26]
Generated Node #0,1: 14:[55, 15, 26] Operation: 31-5=26
Exploring Operation: 31-15=16, Resulting Numbers: [55, 5, 16]
Generated Node #0,2: 14:[55, 5, 16] Operation: 31-15=16
Exploring Operation: 55-31=24, Resulting Numbers: [5, 15, 24]
Generated Node #0,3: 14:[5, 15, 24] Operation: 55-31=24
Exploring Operation: 55-15=40, Resulting Numbers: [31, 5, 40]
Generated Node #0,4: 14:[31, 5, 40] Operation: 55-15=40
Moving to Node #0,3
Current State: 14:[5, 15, 24], Operations: ['55-31=24']
Exploring Operation: 5+15=20, Resulting Numbers: [24, 20]
Generated Node #0,3,0: 14:[24, 20] Operation: 5+15=20
Exploring Operation: 24-15=9, Resulting Numbers: [5, 9]
Generated Node #0,3,1: 14:[5, 9] Operation: 24-15=9
Exploring Operation: 15-5=10, Resulting Numbers: [24, 10]
Generated Node #0,3,2: 14:[24, 10] Operation: 15-5=10
Exploring Operation: 24-5=19, Resulting Numbers: [15, 19]
Generated Node #0,3,3: 14:[15, 19] Operation: 24-5=19
Exploring Operation: 15/5=3, Resulting Numbers: [24, 3]
Generated Node #0,3,4: 14:[24, 3] Operation: 15/5=3
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 14:[5, 9], Operations: ['55-31=24', '24-15=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,14 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,14 unequal: No Solution
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[31, 55, 5, 15], Operations: []
Exploring Operation: 55-31=24, Resulting Numbers: [5, 15, 24]
Generated Node #0,3: 14:[5, 15, 24] Operation: 55-31=24
Moving to Node #0,3
Current State: 14:[5, 15, 24], Operations: ['55-31=24']
Exploring Operation: 24-15=9, Resulting Numbers: [5, 9]
Generated Node #0,3,1: 14:[5, 9] Operation: 24-15=9
Moving to Node #0,3,1
Current State: 14:[5, 9], Operations: ['55-31=24', '24-15=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
20,
53,
92,
71
] | 54 | [
"53-20=33",
"92-71=21",
"33+21=54"
] | Current State: 54:[20, 53, 92, 71], Operations: []
Exploring Operation: 53-20=33, Resulting Numbers: [92, 71, 33]
Generated Node #2: [92, 71, 33] from Operation: 53-20=33
Current State: 54:[92, 71, 33], Operations: ['53-20=33']
Exploring Operation: 92-71=21, Resulting Numbers: [33, 21]
Generated Node #3: [33, 21] from Operation: 92-71=21
Current State: 54:[33, 21], Operations: ['53-20=33', '92-71=21']
Exploring Operation: 33+21=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[20, 53, 92, 71], Operations: []
Exploring Operation: 71-53=18, Resulting Numbers: [20, 92, 18]
Generated Node #0,0: 54:[20, 92, 18] Operation: 71-53=18
Exploring Operation: 92-53=39, Resulting Numbers: [20, 71, 39]
Generated Node #0,1: 54:[20, 71, 39] Operation: 92-53=39
Exploring Operation: 92-71=21, Resulting Numbers: [20, 53, 21]
Generated Node #0,2: 54:[20, 53, 21] Operation: 92-71=21
Exploring Operation: 71-20=51, Resulting Numbers: [53, 92, 51]
Generated Node #0,3: 54:[53, 92, 51] Operation: 71-20=51
Exploring Operation: 92-20=72, Resulting Numbers: [53, 71, 72]
Generated Node #0,4: 54:[53, 71, 72] Operation: 92-20=72
Moving to Node #0,2
Current State: 54:[20, 53, 21], Operations: ['92-71=21']
Exploring Operation: 20+53=73, Resulting Numbers: [21, 73]
Generated Node #0,2,0: 54:[21, 73] Operation: 20+53=73
Exploring Operation: 20+21=41, Resulting Numbers: [53, 41]
Generated Node #0,2,1: 54:[53, 41] Operation: 20+21=41
Exploring Operation: 53-21=32, Resulting Numbers: [20, 32]
Generated Node #0,2,2: 54:[20, 32] Operation: 53-21=32
Exploring Operation: 21-20=1, Resulting Numbers: [53, 1]
Generated Node #0,2,3: 54:[53, 1] Operation: 21-20=1
Exploring Operation: 53-20=33, Resulting Numbers: [21, 33]
Generated Node #0,2,4: 54:[21, 33] Operation: 53-20=33
Moving to Node #0,1
Current State: 54:[20, 71, 39], Operations: ['92-53=39']
Exploring Operation: 20+39=59, Resulting Numbers: [71, 59]
Generated Node #0,1,0: 54:[71, 59] Operation: 20+39=59
Exploring Operation: 20+71=91, Resulting Numbers: [39, 91]
Generated Node #0,1,1: 54:[39, 91] Operation: 20+71=91
Exploring Operation: 71-39=32, Resulting Numbers: [20, 32]
Generated Node #0,1,2: 54:[20, 32] Operation: 71-39=32
Exploring Operation: 39-20=19, Resulting Numbers: [71, 19]
Generated Node #0,1,3: 54:[71, 19] Operation: 39-20=19
Exploring Operation: 71-20=51, Resulting Numbers: [39, 51]
Generated Node #0,1,4: 54:[39, 51] Operation: 71-20=51
Moving to Node #0,4
Current State: 54:[53, 71, 72], Operations: ['92-20=72']
Exploring Operation: 53+71=124, Resulting Numbers: [72, 124]
Generated Node #0,4,0: 54:[72, 124] Operation: 53+71=124
Exploring Operation: 72-71=1, Resulting Numbers: [53, 1]
Generated Node #0,4,1: 54:[53, 1] Operation: 72-71=1
Exploring Operation: 53+72=125, Resulting Numbers: [71, 125]
Generated Node #0,4,2: 54:[71, 125] Operation: 53+72=125
Exploring Operation: 72-53=19, Resulting Numbers: [71, 19]
Generated Node #0,4,3: 54:[71, 19] Operation: 72-53=19
Exploring Operation: 71-53=18, Resulting Numbers: [72, 18]
Generated Node #0,4,4: 54:[72, 18] Operation: 71-53=18
Moving to Node #0,0
Current State: 54:[20, 92, 18], Operations: ['71-53=18']
Exploring Operation: 92-20=72, Resulting Numbers: [18, 72]
Generated Node #0,0,0: 54:[18, 72] Operation: 92-20=72
Exploring Operation: 20+92=112, Resulting Numbers: [18, 112]
Generated Node #0,0,1: 54:[18, 112] Operation: 20+92=112
Exploring Operation: 92-18=74, Resulting Numbers: [20, 74]
Generated Node #0,0,2: 54:[20, 74] Operation: 92-18=74
Exploring Operation: 20+18=38, Resulting Numbers: [92, 38]
Generated Node #0,0,3: 54:[92, 38] Operation: 20+18=38
Exploring Operation: 20-18=2, Resulting Numbers: [92, 2]
Generated Node #0,0,4: 54:[92, 2] Operation: 20-18=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[18, 72], Operations: ['71-53=18', '92-20=72']
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[20, 53, 92, 71], Operations: []
Exploring Operation: 71-53=18, Resulting Numbers: [20, 92, 18]
Generated Node #0,0: 54:[20, 92, 18] Operation: 71-53=18
Moving to Node #0,0
Current State: 54:[20, 92, 18], Operations: ['71-53=18']
Exploring Operation: 92-20=72, Resulting Numbers: [18, 72]
Generated Node #0,0,0: 54:[18, 72] Operation: 92-20=72
Moving to Node #0,0,0
Current State: 54:[18, 72], Operations: ['71-53=18', '92-20=72']
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_5 | mult_heuristic |
[
61,
30,
15,
42
] | 88 | [
"61-30=31",
"15+42=57",
"31+57=88"
] | Current State: 88:[61, 30, 15, 42], Operations: []
Exploring Operation: 61-30=31, Resulting Numbers: [15, 42, 31]
Generated Node #2: [15, 42, 31] from Operation: 61-30=31
Current State: 88:[15, 42, 31], Operations: ['61-30=31']
Exploring Operation: 15+42=57, Resulting Numbers: [31, 57]
Generated Node #3: [31, 57] from Operation: 15+42=57
Current State: 88:[31, 57], Operations: ['61-30=31', '15+42=57']
Exploring Operation: 31+57=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[61, 30, 15, 42], Operations: []
Exploring Operation: 61-30=31, Resulting Numbers: [15, 42, 31]
Generated Node #0,0: 88:[15, 42, 31] Operation: 61-30=31
Exploring Operation: 61-15=46, Resulting Numbers: [30, 42, 46]
Generated Node #0,1: 88:[30, 42, 46] Operation: 61-15=46
Exploring Operation: 61+30=91, Resulting Numbers: [15, 42, 91]
Generated Node #0,2: 88:[15, 42, 91] Operation: 61+30=91
Start Sub Search at level 1: Moving to Node #0,2
Current State: 88:[15, 42, 91], Operations: ['61+30=91']
Exploring Operation: 91-42=49, Resulting Numbers: [15, 49]
Generated Node #0,2,0: 88:[15, 49] Operation: 91-42=49
Exploring Operation: 42-15=27, Resulting Numbers: [91, 27]
Generated Node #0,2,1: 88:[91, 27] Operation: 42-15=27
Exploring Operation: 91-15=76, Resulting Numbers: [42, 76]
Generated Node #0,2,2: 88:[42, 76] Operation: 91-15=76
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 88:[91, 27], Operations: ['61+30=91', '42-15=27']
Exploring Operation: 91+27=118, Resulting Numbers: [118]
118,88 unequal: No Solution
Exploring Operation: 91*27=2457, Resulting Numbers: [2457]
2457,88 unequal: No Solution
Exploring Operation: 91-27=64, Resulting Numbers: [64]
64,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 88:[15, 49], Operations: ['61+30=91', '91-42=49']
Exploring Operation: 49-15=34, Resulting Numbers: [34]
34,88 unequal: No Solution
Exploring Operation: 15*49=735, Resulting Numbers: [735]
735,88 unequal: No Solution
Exploring Operation: 15+49=64, Resulting Numbers: [64]
64,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 88:[42, 76], Operations: ['61+30=91', '91-15=76']
Exploring Operation: 42+76=118, Resulting Numbers: [118]
118,88 unequal: No Solution
Exploring Operation: 76-42=34, Resulting Numbers: [34]
34,88 unequal: No Solution
Exploring Operation: 42*76=3192, Resulting Numbers: [3192]
3192,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[30, 42, 46], Operations: ['61-15=46']
Exploring Operation: 42+46=88, Resulting Numbers: [30, 88]
Generated Node #0,1,0: 88:[30, 88] Operation: 42+46=88
Exploring Operation: 42-30=12, Resulting Numbers: [46, 12]
Generated Node #0,1,1: 88:[46, 12] Operation: 42-30=12
Exploring Operation: 46-30=16, Resulting Numbers: [42, 16]
Generated Node #0,1,2: 88:[42, 16] Operation: 46-30=16
Moving to Node #0,1,1
Current State: 88:[46, 12], Operations: ['61-15=46', '42-30=12']
Exploring Operation: 46*12=552, Resulting Numbers: [552]
552,88 unequal: No Solution
Exploring Operation: 46+12=58, Resulting Numbers: [58]
58,88 unequal: No Solution
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,88 unequal: No Solution
Moving to Node #0,1,2
Current State: 88:[42, 16], Operations: ['61-15=46', '46-30=16']
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,88 unequal: No Solution
Exploring Operation: 42+16=58, Resulting Numbers: [58]
58,88 unequal: No Solution
Exploring Operation: 42*16=672, Resulting Numbers: [672]
672,88 unequal: No Solution
Moving to Node #0,1,0
Current State: 88:[30, 88], Operations: ['61-15=46', '42+46=88']
Exploring Operation: 88-30=58, Resulting Numbers: [58]
58,88 unequal: No Solution
Exploring Operation: 30*88=2640, Resulting Numbers: [2640]
2640,88 unequal: No Solution
Exploring Operation: 30+88=118, Resulting Numbers: [118]
118,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[15, 42, 31], Operations: ['61-30=31']
Exploring Operation: 42-31=11, Resulting Numbers: [15, 11]
Generated Node #0,0,0: 88:[15, 11] Operation: 42-31=11
Exploring Operation: 31-15=16, Resulting Numbers: [42, 16]
Generated Node #0,0,1: 88:[42, 16] Operation: 31-15=16
Exploring Operation: 15+31=46, Resulting Numbers: [42, 46]
Generated Node #0,0,2: 88:[42, 46] Operation: 15+31=46
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[15, 11], Operations: ['61-30=31', '42-31=11']
Exploring Operation: 15*11=165, Resulting Numbers: [165]
165,88 unequal: No Solution
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,88 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 88:[42, 46], Operations: ['61-30=31', '15+31=46']
Exploring Operation: 42+46=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[61, 30, 15, 42], Operations: []
Exploring Operation: 61-30=31, Resulting Numbers: [15, 42, 31]
Generated Node #0,0: 88:[15, 42, 31] Operation: 61-30=31
Moving to Node #0,0
Current State: 88:[15, 42, 31], Operations: ['61-30=31']
Exploring Operation: 15+31=46, Resulting Numbers: [42, 46]
Generated Node #0,0,2: 88:[42, 46] Operation: 15+31=46
Moving to Node #0,0,2
Current State: 88:[42, 46], Operations: ['61-30=31', '15+31=46']
Exploring Operation: 42+46=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967014 | hs_3 | mult_heuristic |
[
12,
21,
48,
20
] | 60 | [
"12+48=60",
"21-20=1",
"60*1=60"
] | Current State: 60:[12, 21, 48, 20], Operations: []
Exploring Operation: 12+48=60, Resulting Numbers: [21, 20, 60]
Generated Node #2: [21, 20, 60] from Operation: 12+48=60
Current State: 60:[21, 20, 60], Operations: ['12+48=60']
Exploring Operation: 21-20=1, Resulting Numbers: [60, 1]
Generated Node #3: [60, 1] from Operation: 21-20=1
Current State: 60:[60, 1], Operations: ['12+48=60', '21-20=1']
Exploring Operation: 60*1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[12, 21, 48, 20], Operations: []
Exploring Operation: 12+48=60, Resulting Numbers: [21, 20, 60]
Generated Node #0,0: 60:[21, 20, 60] Operation: 12+48=60
Exploring Operation: 48-21=27, Resulting Numbers: [12, 20, 27]
Generated Node #0,1: 60:[12, 20, 27] Operation: 48-21=27
Exploring Operation: 48/12=4, Resulting Numbers: [21, 20, 4]
Generated Node #0,2: 60:[21, 20, 4] Operation: 48/12=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[21, 20, 60], Operations: ['12+48=60']
Exploring Operation: 21-20=1, Resulting Numbers: [60, 1]
Generated Node #0,0,0: 60:[60, 1] Operation: 21-20=1
Exploring Operation: 60-21=39, Resulting Numbers: [20, 39]
Generated Node #0,0,1: 60:[20, 39] Operation: 60-21=39
Exploring Operation: 60/20=3, Resulting Numbers: [21, 3]
Generated Node #0,0,2: 60:[21, 3] Operation: 60/20=3
Moving to Node #0,0,0
Current State: 60:[60, 1], Operations: ['12+48=60', '21-20=1']
Exploring Operation: 60/1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[12, 21, 48, 20], Operations: []
Exploring Operation: 12+48=60, Resulting Numbers: [21, 20, 60]
Generated Node #0,0: 60:[21, 20, 60] Operation: 12+48=60
Moving to Node #0,0
Current State: 60:[21, 20, 60], Operations: ['12+48=60']
Exploring Operation: 21-20=1, Resulting Numbers: [60, 1]
Generated Node #0,0,0: 60:[60, 1] Operation: 21-20=1
Moving to Node #0,0,0
Current State: 60:[60, 1], Operations: ['12+48=60', '21-20=1']
Exploring Operation: 60/1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
6,
50,
36,
2
] | 40 | [
"6+50=56",
"56-36=20",
"2*20=40"
] | Current State: 40:[6, 50, 36, 2], Operations: []
Exploring Operation: 6+50=56, Resulting Numbers: [36, 2, 56]
Generated Node #2: [36, 2, 56] from Operation: 6+50=56
Current State: 40:[36, 2, 56], Operations: ['6+50=56']
Exploring Operation: 56-36=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 56-36=20
Current State: 40:[2, 20], Operations: ['6+50=56', '56-36=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[6, 50, 36, 2], Operations: []
Exploring Operation: 50-6=44, Resulting Numbers: [36, 2, 44]
Generated Node #0,0: 40:[36, 2, 44] Operation: 50-6=44
Exploring Operation: 50-36=14, Resulting Numbers: [6, 2, 14]
Generated Node #0,1: 40:[6, 2, 14] Operation: 50-36=14
Moving to Node #0,1
Current State: 40:[6, 2, 14], Operations: ['50-36=14']
Exploring Operation: 6+14=20, Resulting Numbers: [2, 20]
Generated Node #0,1,0: 40:[2, 20] Operation: 6+14=20
Exploring Operation: 14-6=8, Resulting Numbers: [2, 8]
Generated Node #0,1,1: 40:[2, 8] Operation: 14-6=8
Moving to Node #0,0
Current State: 40:[36, 2, 44], Operations: ['50-6=44']
Exploring Operation: 44-36=8, Resulting Numbers: [2, 8]
Generated Node #0,0,0: 40:[2, 8] Operation: 44-36=8
Exploring Operation: 36+2=38, Resulting Numbers: [44, 38]
Generated Node #0,0,1: 40:[44, 38] Operation: 36+2=38
Moving to Node #0,1,0
Current State: 40:[2, 20], Operations: ['50-36=14', '6+14=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[6, 50, 36, 2], Operations: []
Exploring Operation: 50-36=14, Resulting Numbers: [6, 2, 14]
Generated Node #0,1: 40:[6, 2, 14] Operation: 50-36=14
Moving to Node #0,1
Current State: 40:[6, 2, 14], Operations: ['50-36=14']
Exploring Operation: 6+14=20, Resulting Numbers: [2, 20]
Generated Node #0,1,0: 40:[2, 20] Operation: 6+14=20
Moving to Node #0,1,0
Current State: 40:[2, 20], Operations: ['50-36=14', '6+14=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 0.990451 | hs_2 | mult_heuristic |
[
9,
92,
25,
75
] | 80 | [
"92-9=83",
"75/25=3",
"83-3=80"
] | Current State: 80:[9, 92, 25, 75], Operations: []
Exploring Operation: 92-9=83, Resulting Numbers: [25, 75, 83]
Generated Node #2: [25, 75, 83] from Operation: 92-9=83
Current State: 80:[25, 75, 83], Operations: ['92-9=83']
Exploring Operation: 75/25=3, Resulting Numbers: [83, 3]
Generated Node #3: [83, 3] from Operation: 75/25=3
Current State: 80:[83, 3], Operations: ['92-9=83', '75/25=3']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[9, 92, 25, 75], Operations: []
Exploring Operation: 25-9=16, Resulting Numbers: [92, 75, 16]
Generated Node #0,0: 80:[92, 75, 16] Operation: 25-9=16
Exploring Operation: 75/25=3, Resulting Numbers: [9, 92, 3]
Generated Node #0,1: 80:[9, 92, 3] Operation: 75/25=3
Exploring Operation: 92-9=83, Resulting Numbers: [25, 75, 83]
Generated Node #0,2: 80:[25, 75, 83] Operation: 92-9=83
Exploring Operation: 92-75=17, Resulting Numbers: [9, 25, 17]
Generated Node #0,3: 80:[9, 25, 17] Operation: 92-75=17
Exploring Operation: 92-25=67, Resulting Numbers: [9, 75, 67]
Generated Node #0,4: 80:[9, 75, 67] Operation: 92-25=67
Start Sub Search at level 1: Moving to Node #0,3
Current State: 80:[9, 25, 17], Operations: ['92-75=17']
Exploring Operation: 17-9=8, Resulting Numbers: [25, 8]
Generated Node #0,3,0: 80:[25, 8] Operation: 17-9=8
Exploring Operation: 25+17=42, Resulting Numbers: [9, 42]
Generated Node #0,3,1: 80:[9, 42] Operation: 25+17=42
Exploring Operation: 25-17=8, Resulting Numbers: [9, 8]
Generated Node #0,3,2: 80:[9, 8] Operation: 25-17=8
Exploring Operation: 9+25=34, Resulting Numbers: [17, 34]
Generated Node #0,3,3: 80:[17, 34] Operation: 9+25=34
Exploring Operation: 25-9=16, Resulting Numbers: [17, 16]
Generated Node #0,3,4: 80:[17, 16] Operation: 25-9=16
Moving to Node #0,3,2
Current State: 80:[9, 8], Operations: ['92-75=17', '25-17=8']
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,80 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Moving to Node #0,3,4
Current State: 80:[17, 16], Operations: ['92-75=17', '25-9=16']
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 17*16=272, Resulting Numbers: [272]
272,80 unequal: No Solution
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,80 unequal: No Solution
Moving to Node #0,3,1
Current State: 80:[9, 42], Operations: ['92-75=17', '25+17=42']
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,80 unequal: No Solution
Exploring Operation: 9*42=378, Resulting Numbers: [378]
378,80 unequal: No Solution
Exploring Operation: 9+42=51, Resulting Numbers: [51]
51,80 unequal: No Solution
Moving to Node #0,3,0
Current State: 80:[25, 8], Operations: ['92-75=17', '17-9=8']
Exploring Operation: 25+8=33, Resulting Numbers: [33]
33,80 unequal: No Solution
Exploring Operation: 25*8=200, Resulting Numbers: [200]
200,80 unequal: No Solution
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Moving to Node #0,3,3
Current State: 80:[17, 34], Operations: ['92-75=17', '9+25=34']
Exploring Operation: 34-17=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 34/17=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Exploring Operation: 17*34=578, Resulting Numbers: [578]
578,80 unequal: No Solution
Exploring Operation: 17+34=51, Resulting Numbers: [51]
51,80 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 #0,2
Current State: 80:[25, 75, 83], Operations: ['92-9=83']
Exploring Operation: 83-75=8, Resulting Numbers: [25, 8]
Generated Node #0,2,0: 80:[25, 8] Operation: 83-75=8
Exploring Operation: 75-25=50, Resulting Numbers: [83, 50]
Generated Node #0,2,1: 80:[83, 50] Operation: 75-25=50
Exploring Operation: 83-25=58, Resulting Numbers: [75, 58]
Generated Node #0,2,2: 80:[75, 58] Operation: 83-25=58
Exploring Operation: 25+75=100, Resulting Numbers: [83, 100]
Generated Node #0,2,3: 80:[83, 100] Operation: 25+75=100
Exploring Operation: 75/25=3, Resulting Numbers: [83, 3]
Generated Node #0,2,4: 80:[83, 3] Operation: 75/25=3
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 80:[83, 3], Operations: ['92-9=83', '75/25=3']
Exploring Operation: 83+3=86, Resulting Numbers: [86]
86,80 unequal: No Solution
Exploring Operation: 83*3=249, Resulting Numbers: [249]
249,80 unequal: No Solution
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[9, 92, 25, 75], Operations: []
Exploring Operation: 92-9=83, Resulting Numbers: [25, 75, 83]
Generated Node #0,2: 80:[25, 75, 83] Operation: 92-9=83
Moving to Node #0,2
Current State: 80:[25, 75, 83], Operations: ['92-9=83']
Exploring Operation: 75/25=3, Resulting Numbers: [83, 3]
Generated Node #0,2,4: 80:[83, 3] Operation: 75/25=3
Moving to Node #0,2,4
Current State: 80:[83, 3], Operations: ['92-9=83', '75/25=3']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967014 | hs_5 | sum_heuristic |
[
37,
81,
29,
33
] | 13 | [
"37-33=4",
"81-29=52",
"52/4=13"
] | Current State: 13:[37, 81, 29, 33], Operations: []
Exploring Operation: 37-33=4, Resulting Numbers: [81, 29, 4]
Generated Node #2: [81, 29, 4] from Operation: 37-33=4
Current State: 13:[81, 29, 4], Operations: ['37-33=4']
Exploring Operation: 81-29=52, Resulting Numbers: [4, 52]
Generated Node #3: [4, 52] from Operation: 81-29=52
Current State: 13:[4, 52], Operations: ['37-33=4', '81-29=52']
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[37, 81, 29, 33], Operations: []
Exploring Operation: 81-37=44, Resulting Numbers: [29, 33, 44]
Generated Node #0,0: 13:[29, 33, 44] Operation: 81-37=44
Exploring Operation: 81-33=48, Resulting Numbers: [37, 29, 48]
Generated Node #0,1: 13:[37, 29, 48] Operation: 81-33=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[29, 33, 44], Operations: ['81-37=44']
Exploring Operation: 44-29=15, Resulting Numbers: [33, 15]
Generated Node #0,0,0: 13:[33, 15] Operation: 44-29=15
Exploring Operation: 44-33=11, Resulting Numbers: [29, 11]
Generated Node #0,0,1: 13:[29, 11] Operation: 44-33=11
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 13:[29, 11], Operations: ['81-37=44', '44-33=11']
Exploring Operation: 29+11=40, Resulting Numbers: [40]
40,13 unequal: No Solution
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,13 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:[33, 15], Operations: ['81-37=44', '44-29=15']
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,13 unequal: No Solution
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,13 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 #0,1
Current State: 13:[37, 29, 48], Operations: ['81-33=48']
Exploring Operation: 48-37=11, Resulting Numbers: [29, 11]
Generated Node #0,1,0: 13:[29, 11] Operation: 48-37=11
Exploring Operation: 48-29=19, Resulting Numbers: [37, 19]
Generated Node #0,1,1: 13:[37, 19] Operation: 48-29=19
Moving to Node #0,1,0
Current State: 13:[29, 11], Operations: ['81-33=48', '48-37=11']
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,13 unequal: No Solution
Exploring Operation: 29+11=40, Resulting Numbers: [40]
40,13 unequal: No Solution
Moving to Node #0,1,1
Current State: 13:[37, 19], Operations: ['81-33=48', '48-29=19']
Exploring Operation: 37+19=56, Resulting Numbers: [56]
56,13 unequal: No Solution
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
79,
93,
21,
69
] | 34 | [
"93-79=14",
"69-21=48",
"48-14=34"
] | Current State: 34:[79, 93, 21, 69], Operations: []
Exploring Operation: 93-79=14, Resulting Numbers: [21, 69, 14]
Generated Node #2: [21, 69, 14] from Operation: 93-79=14
Current State: 34:[21, 69, 14], Operations: ['93-79=14']
Exploring Operation: 69-21=48, Resulting Numbers: [14, 48]
Generated Node #3: [14, 48] from Operation: 69-21=48
Current State: 34:[14, 48], Operations: ['93-79=14', '69-21=48']
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[79, 93, 21, 69], Operations: []
Exploring Operation: 93-79=14, Resulting Numbers: [21, 69, 14]
Generated Node #0,0: 34:[21, 69, 14] Operation: 93-79=14
Moving to Node #0,0
Current State: 34:[21, 69, 14], Operations: ['93-79=14']
Exploring Operation: 69-21=48, Resulting Numbers: [14, 48]
Generated Node #0,0,0: 34:[14, 48] Operation: 69-21=48
Moving to Node #0,0,0
Current State: 34:[14, 48], Operations: ['93-79=14', '69-21=48']
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[79, 93, 21, 69], Operations: []
Exploring Operation: 93-79=14, Resulting Numbers: [21, 69, 14]
Generated Node #0,0: 34:[21, 69, 14] Operation: 93-79=14
Moving to Node #0,0
Current State: 34:[21, 69, 14], Operations: ['93-79=14']
Exploring Operation: 69-21=48, Resulting Numbers: [14, 48]
Generated Node #0,0,0: 34:[14, 48] Operation: 69-21=48
Moving to Node #0,0,0
Current State: 34:[14, 48], Operations: ['93-79=14', '69-21=48']
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
2,
21,
43,
41
] | 85 | [
"43-21=22",
"2*22=44",
"41+44=85"
] | Current State: 85:[2, 21, 43, 41], Operations: []
Exploring Operation: 43-21=22, Resulting Numbers: [2, 41, 22]
Generated Node #2: [2, 41, 22] from Operation: 43-21=22
Current State: 85:[2, 41, 22], Operations: ['43-21=22']
Exploring Operation: 2*22=44, Resulting Numbers: [41, 44]
Generated Node #3: [41, 44] from Operation: 2*22=44
Current State: 85:[41, 44], Operations: ['43-21=22', '2*22=44']
Exploring Operation: 41+44=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[2, 21, 43, 41], Operations: []
Exploring Operation: 43-41=2, Resulting Numbers: [2, 21, 2]
Generated Node #0,0: 85:[2, 21, 2] Operation: 43-41=2
Exploring Operation: 2*43=86, Resulting Numbers: [21, 41, 86]
Generated Node #0,1: 85:[21, 41, 86] Operation: 2*43=86
Exploring Operation: 43+41=84, Resulting Numbers: [2, 21, 84]
Generated Node #0,2: 85:[2, 21, 84] Operation: 43+41=84
Start Sub Search at level 1: Moving to Node #0,2
Current State: 85:[2, 21, 84], Operations: ['43+41=84']
Exploring Operation: 21-2=19, Resulting Numbers: [84, 19]
Generated Node #0,2,0: 85:[84, 19] Operation: 21-2=19
Exploring Operation: 84/21=4, Resulting Numbers: [2, 4]
Generated Node #0,2,1: 85:[2, 4] Operation: 84/21=4
Exploring Operation: 2+84=86, Resulting Numbers: [21, 86]
Generated Node #0,2,2: 85:[21, 86] Operation: 2+84=86
Moving to Node #0,2,0
Current State: 85:[84, 19], Operations: ['43+41=84', '21-2=19']
Exploring Operation: 84*19=1596, Resulting Numbers: [1596]
1596,85 unequal: No Solution
Exploring Operation: 84+19=103, Resulting Numbers: [103]
103,85 unequal: No Solution
Exploring Operation: 84-19=65, Resulting Numbers: [65]
65,85 unequal: No Solution
Moving to Node #0,2,1
Current State: 85:[2, 4], Operations: ['43+41=84', '84/21=4']
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,85 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,85 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,85 unequal: No Solution
Moving to Node #0,2,2
Current State: 85:[21, 86], Operations: ['43+41=84', '2+84=86']
Exploring Operation: 21*86=1806, Resulting Numbers: [1806]
1806,85 unequal: No Solution
Exploring Operation: 86-21=65, Resulting Numbers: [65]
65,85 unequal: No Solution
Exploring Operation: 21+86=107, Resulting Numbers: [107]
107,85 unequal: No Solution
No 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: 85:[2, 21, 2], Operations: ['43-41=2']
Exploring Operation: 2*2=4, Resulting Numbers: [21, 4]
Generated Node #0,0,0: 85:[21, 4] Operation: 2*2=4
Exploring Operation: 2+2=4, Resulting Numbers: [21, 4]
Generated Node #0,0,1: 85:[21, 4] Operation: 2+2=4
Exploring Operation: 21-2=19, Resulting Numbers: [2, 19]
Generated Node #0,0,2: 85:[2, 19] Operation: 21-2=19
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 85:[21, 4], Operations: ['43-41=2', '2*2=4']
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,85 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,85 unequal: No Solution
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,85 unequal: No Solution
No 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: 85:[21, 4], Operations: ['43-41=2', '2+2=4']
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,85 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,85 unequal: No Solution
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,85 unequal: No Solution
No 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: 85:[2, 19], Operations: ['43-41=2', '21-2=19']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,85 unequal: No Solution
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,85 unequal: No Solution
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,85 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: 85:[21, 41, 86], Operations: ['2*43=86']
Exploring Operation: 86-41=45, Resulting Numbers: [21, 45]
Generated Node #0,1,0: 85:[21, 45] Operation: 86-41=45
Exploring Operation: 21+41=62, Resulting Numbers: [86, 62]
Generated Node #0,1,1: 85:[86, 62] Operation: 21+41=62
Exploring Operation: 41-21=20, Resulting Numbers: [86, 20]
Generated Node #0,1,2: 85:[86, 20] Operation: 41-21=20
Moving to Node #0,1,2
Current State: 85:[86, 20], Operations: ['2*43=86', '41-21=20']
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,85 unequal: No Solution
Exploring Operation: 86+20=106, Resulting Numbers: [106]
106,85 unequal: No Solution
Exploring Operation: 86*20=1720, Resulting Numbers: [1720]
1720,85 unequal: No Solution
Moving to Node #0,1,1
Current State: 85:[86, 62], Operations: ['2*43=86', '21+41=62']
Exploring Operation: 86*62=5332, Resulting Numbers: [5332]
5332,85 unequal: No Solution
Exploring Operation: 86-62=24, Resulting Numbers: [24]
24,85 unequal: No Solution
Exploring Operation: 86+62=148, Resulting Numbers: [148]
148,85 unequal: No Solution
Moving to Node #0,1,0
Current State: 85:[21, 45], Operations: ['2*43=86', '86-41=45']
Exploring Operation: 21*45=945, Resulting Numbers: [945]
945,85 unequal: No Solution
Exploring Operation: 45-21=24, Resulting Numbers: [24]
24,85 unequal: No Solution
Exploring Operation: 21+45=66, Resulting Numbers: [66]
66,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
26,
7,
2,
40
] | 99 | [
"26-7=19",
"2*40=80",
"19+80=99"
] | Current State: 99:[26, 7, 2, 40], Operations: []
Exploring Operation: 26-7=19, Resulting Numbers: [2, 40, 19]
Generated Node #2: [2, 40, 19] from Operation: 26-7=19
Current State: 99:[2, 40, 19], Operations: ['26-7=19']
Exploring Operation: 2*40=80, Resulting Numbers: [19, 80]
Generated Node #3: [19, 80] from Operation: 2*40=80
Current State: 99:[19, 80], Operations: ['26-7=19', '2*40=80']
Exploring Operation: 19+80=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[26, 7, 2, 40], Operations: []
Exploring Operation: 26+7=33, Resulting Numbers: [2, 40, 33]
Generated Node #0,0: 99:[2, 40, 33] Operation: 26+7=33
Exploring Operation: 40-7=33, Resulting Numbers: [26, 2, 33]
Generated Node #0,1: 99:[26, 2, 33] Operation: 40-7=33
Exploring Operation: 40-26=14, Resulting Numbers: [7, 2, 14]
Generated Node #0,2: 99:[7, 2, 14] Operation: 40-26=14
Exploring Operation: 26/2=13, Resulting Numbers: [7, 40, 13]
Generated Node #0,3: 99:[7, 40, 13] Operation: 26/2=13
Moving to Node #0,2
Current State: 99:[7, 2, 14], Operations: ['40-26=14']
Exploring Operation: 14/7=2, Resulting Numbers: [2, 2]
Generated Node #0,2,0: 99:[2, 2] Operation: 14/7=2
Exploring Operation: 14-7=7, Resulting Numbers: [2, 7]
Generated Node #0,2,1: 99:[2, 7] Operation: 14-7=7
Exploring Operation: 7+2=9, Resulting Numbers: [14, 9]
Generated Node #0,2,2: 99:[14, 9] Operation: 7+2=9
Exploring Operation: 7*14=98, Resulting Numbers: [2, 98]
Generated Node #0,2,3: 99:[2, 98] Operation: 7*14=98
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 99:[2, 2], Operations: ['40-26=14', '14/7=2']
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,99 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,99 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,99 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 99:[2, 98], Operations: ['40-26=14', '7*14=98']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,99 unequal: No Solution
Exploring Operation: 2+98=100, Resulting Numbers: [100]
100,99 unequal: No Solution
Exploring Operation: 2*98=196, Resulting Numbers: [196]
196,99 unequal: No Solution
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 99:[2, 7], Operations: ['40-26=14', '14-7=7']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,99 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 99:[14, 9], Operations: ['40-26=14', '7+2=9']
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,99 unequal: No Solution
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,99 unequal: No Solution
Exploring Operation: 14*9=126, Resulting Numbers: [126]
126,99 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: 99:[26, 2, 33], Operations: ['40-7=33']
Exploring Operation: 33-26=7, Resulting Numbers: [2, 7]
Generated Node #0,1,0: 99:[2, 7] Operation: 33-26=7
Exploring Operation: 26-2=24, Resulting Numbers: [33, 24]
Generated Node #0,1,1: 99:[33, 24] Operation: 26-2=24
Exploring Operation: 26/2=13, Resulting Numbers: [33, 13]
Generated Node #0,1,2: 99:[33, 13] Operation: 26/2=13
Exploring Operation: 26+2=28, Resulting Numbers: [33, 28]
Generated Node #0,1,3: 99:[33, 28] Operation: 26+2=28
Moving to Node #0,0
Current State: 99:[2, 40, 33], Operations: ['26+7=33']
Exploring Operation: 40-2=38, Resulting Numbers: [33, 38]
Generated Node #0,0,0: 99:[33, 38] Operation: 40-2=38
Exploring Operation: 40/2=20, Resulting Numbers: [33, 20]
Generated Node #0,0,1: 99:[33, 20] Operation: 40/2=20
Exploring Operation: 2+40=42, Resulting Numbers: [33, 42]
Generated Node #0,0,2: 99:[33, 42] Operation: 2+40=42
Exploring Operation: 40-33=7, Resulting Numbers: [2, 7]
Generated Node #0,0,3: 99:[2, 7] Operation: 40-33=7
Moving to Node #0,3
Current State: 99:[7, 40, 13], Operations: ['26/2=13']
Exploring Operation: 40-13=27, Resulting Numbers: [7, 27]
Generated Node #0,3,0: 99:[7, 27] Operation: 40-13=27
Exploring Operation: 7*13=91, Resulting Numbers: [40, 91]
Generated Node #0,3,1: 99:[40, 91] Operation: 7*13=91
Exploring Operation: 13-7=6, Resulting Numbers: [40, 6]
Generated Node #0,3,2: 99:[40, 6] Operation: 13-7=6
Exploring Operation: 40-7=33, Resulting Numbers: [13, 33]
Generated Node #0,3,3: 99:[13, 33] Operation: 40-7=33
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 99:[13, 33], Operations: ['26/2=13', '40-7=33']
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 13*33=429, Resulting Numbers: [429]
429,99 unequal: No Solution
Exploring Operation: 13+33=46, Resulting Numbers: [46]
46,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 99:[7, 27], Operations: ['26/2=13', '40-13=27']
Exploring Operation: 7*27=189, Resulting Numbers: [189]
189,99 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 7+27=34, Resulting Numbers: [34]
34,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 99:[40, 6], Operations: ['26/2=13', '13-7=6']
Exploring Operation: 40*6=240, Resulting Numbers: [240]
240,99 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,99 unequal: No Solution
Exploring Operation: 40+6=46, Resulting Numbers: [46]
46,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 99:[40, 91], Operations: ['26/2=13', '7*13=91']
Exploring Operation: 40+91=131, Resulting Numbers: [131]
131,99 unequal: No Solution
Exploring Operation: 40*91=3640, Resulting Numbers: [3640]
3640,99 unequal: No Solution
Exploring Operation: 91-40=51, Resulting Numbers: [51]
51,99 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: 99:[33, 13], Operations: ['40-7=33', '26/2=13']
Exploring Operation: 33*13=429, Resulting Numbers: [429]
429,99 unequal: No Solution
Exploring Operation: 33+13=46, Resulting Numbers: [46]
46,99 unequal: No Solution
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Moving to Node #0,1,0
Current State: 99:[2, 7], Operations: ['40-7=33', '33-26=7']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,99 unequal: No Solution
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,99 unequal: No Solution
Moving to Node #0,0,3
Current State: 99:[2, 7], Operations: ['26+7=33', '40-33=7']
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,99 unequal: No Solution
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,99 unequal: No Solution
Moving to Node #0,1,3
Current State: 99:[33, 28], Operations: ['40-7=33', '26+2=28']
Exploring Operation: 33+28=61, Resulting Numbers: [61]
61,99 unequal: No Solution
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,99 unequal: No Solution
Exploring Operation: 33*28=924, Resulting Numbers: [924]
924,99 unequal: No Solution
Moving to Node #0,0,0
Current State: 99:[33, 38], Operations: ['26+7=33', '40-2=38']
Exploring Operation: 33+38=71, Resulting Numbers: [71]
71,99 unequal: No Solution
Exploring Operation: 33*38=1254, Resulting Numbers: [1254]
1254,99 unequal: No Solution
Exploring Operation: 38-33=5, Resulting Numbers: [5]
5,99 unequal: No Solution
Moving to Node #0,0,1
Current State: 99:[33, 20], Operations: ['26+7=33', '40/2=20']
Exploring Operation: 33+20=53, Resulting Numbers: [53]
53,99 unequal: No Solution
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,99 unequal: No Solution
Exploring Operation: 33*20=660, Resulting Numbers: [660]
660,99 unequal: No Solution
Moving to Node #0,0,2
Current State: 99:[33, 42], Operations: ['26+7=33', '2+40=42']
Exploring Operation: 33+42=75, Resulting Numbers: [75]
75,99 unequal: No Solution
Exploring Operation: 42-33=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 33*42=1386, Resulting Numbers: [1386]
1386,99 unequal: No Solution
Moving to Node #0,1,1
Current State: 99:[33, 24], Operations: ['40-7=33', '26-2=24']
Exploring Operation: 33+24=57, Resulting Numbers: [57]
57,99 unequal: No Solution
Exploring Operation: 33*24=792, Resulting Numbers: [792]
792,99 unequal: No Solution
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,99 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
2,
66,
54,
64
] | 46 | [
"64-54=10",
"2*10=20",
"66-20=46"
] | Current State: 46:[2, 66, 54, 64], Operations: []
Exploring Operation: 64-54=10, Resulting Numbers: [2, 66, 10]
Generated Node #2: [2, 66, 10] from Operation: 64-54=10
Current State: 46:[2, 66, 10], Operations: ['64-54=10']
Exploring Operation: 2*10=20, Resulting Numbers: [66, 20]
Generated Node #3: [66, 20] from Operation: 2*10=20
Current State: 46:[66, 20], Operations: ['64-54=10', '2*10=20']
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[2, 66, 54, 64], Operations: []
Exploring Operation: 64-54=10, Resulting Numbers: [2, 66, 10]
Generated Node #0,0: 46:[2, 66, 10] Operation: 64-54=10
Exploring Operation: 64/2=32, Resulting Numbers: [66, 54, 32]
Generated Node #0,1: 46:[66, 54, 32] Operation: 64/2=32
Exploring Operation: 66-54=12, Resulting Numbers: [2, 64, 12]
Generated Node #0,2: 46:[2, 64, 12] Operation: 66-54=12
Exploring Operation: 66/2=33, Resulting Numbers: [54, 64, 33]
Generated Node #0,3: 46:[54, 64, 33] Operation: 66/2=33
Exploring Operation: 66-64=2, Resulting Numbers: [2, 54, 2]
Generated Node #0,4: 46:[2, 54, 2] Operation: 66-64=2
Moving to Node #0,4
Current State: 46:[2, 54, 2], Operations: ['66-64=2']
Exploring Operation: 2/2=1, Resulting Numbers: [54, 1]
Generated Node #0,4,0: 46:[54, 1] Operation: 2/2=1
Exploring Operation: 54/2=27, Resulting Numbers: [2, 27]
Generated Node #0,4,1: 46:[2, 27] Operation: 54/2=27
Exploring Operation: 54-2=52, Resulting Numbers: [2, 52]
Generated Node #0,4,2: 46:[2, 52] Operation: 54-2=52
Exploring Operation: 54/2=27, Resulting Numbers: [2, 27]
Generated Node #0,4,3: 46:[2, 27] Operation: 54/2=27
Exploring Operation: 54-2=52, Resulting Numbers: [2, 52]
Generated Node #0,4,4: 46:[2, 52] Operation: 54-2=52
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 46:[2, 27], Operations: ['66-64=2', '54/2=27']
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,46 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,46 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,46 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 #0,4,3
Current State: 46:[2, 27], Operations: ['66-64=2', '54/2=27']
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,46 unequal: No Solution
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,46 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,46 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 #0,4,2
Current State: 46:[2, 52], Operations: ['66-64=2', '54-2=52']
Exploring Operation: 2*52=104, Resulting Numbers: [104]
104,46 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,46 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,46 unequal: No Solution
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,46 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 #0,4,4
Current State: 46:[2, 52], Operations: ['66-64=2', '54-2=52']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,46 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,46 unequal: No Solution
Exploring Operation: 2*52=104, Resulting Numbers: [104]
104,46 unequal: No Solution
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,46 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 #0,4,0
Current State: 46:[54, 1], Operations: ['66-64=2', '2/2=1']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,46 unequal: No Solution
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,46 unequal: No Solution
Exploring Operation: 54+1=55, Resulting Numbers: [55]
55,46 unequal: No Solution
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,46 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: 46:[2, 64, 12], Operations: ['66-54=12']
Exploring Operation: 12/2=6, Resulting Numbers: [64, 6]
Generated Node #0,2,0: 46:[64, 6] Operation: 12/2=6
Exploring Operation: 64-12=52, Resulting Numbers: [2, 52]
Generated Node #0,2,1: 46:[2, 52] Operation: 64-12=52
Exploring Operation: 64-2=62, Resulting Numbers: [12, 62]
Generated Node #0,2,2: 46:[12, 62] Operation: 64-2=62
Exploring Operation: 2*12=24, Resulting Numbers: [64, 24]
Generated Node #0,2,3: 46:[64, 24] Operation: 2*12=24
Exploring Operation: 64/2=32, Resulting Numbers: [12, 32]
Generated Node #0,2,4: 46:[12, 32] Operation: 64/2=32
Moving to Node #0,0
Current State: 46:[2, 66, 10], Operations: ['64-54=10']
Exploring Operation: 2*10=20, Resulting Numbers: [66, 20]
Generated Node #0,0,0: 46:[66, 20] Operation: 2*10=20
Exploring Operation: 66/2=33, Resulting Numbers: [10, 33]
Generated Node #0,0,1: 46:[10, 33] Operation: 66/2=33
Exploring Operation: 10/2=5, Resulting Numbers: [66, 5]
Generated Node #0,0,2: 46:[66, 5] Operation: 10/2=5
Exploring Operation: 66-10=56, Resulting Numbers: [2, 56]
Generated Node #0,0,3: 46:[2, 56] Operation: 66-10=56
Exploring Operation: 66-2=64, Resulting Numbers: [10, 64]
Generated Node #0,0,4: 46:[10, 64] Operation: 66-2=64
Moving to Node #0,3
Current State: 46:[54, 64, 33], Operations: ['66/2=33']
Exploring Operation: 54+33=87, Resulting Numbers: [64, 87]
Generated Node #0,3,0: 46:[64, 87] Operation: 54+33=87
Exploring Operation: 64-54=10, Resulting Numbers: [33, 10]
Generated Node #0,3,1: 46:[33, 10] Operation: 64-54=10
Exploring Operation: 64+33=97, Resulting Numbers: [54, 97]
Generated Node #0,3,2: 46:[54, 97] Operation: 64+33=97
Exploring Operation: 64-33=31, Resulting Numbers: [54, 31]
Generated Node #0,3,3: 46:[54, 31] Operation: 64-33=31
Exploring Operation: 54-33=21, Resulting Numbers: [64, 21]
Generated Node #0,3,4: 46:[64, 21] Operation: 54-33=21
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 46:[54, 31], Operations: ['66/2=33', '64-33=31']
Exploring Operation: 54*31=1674, Resulting Numbers: [1674]
1674,46 unequal: No Solution
Exploring Operation: 54+31=85, Resulting Numbers: [85]
85,46 unequal: No Solution
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,46 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 #0,3,1
Current State: 46:[33, 10], Operations: ['66/2=33', '64-54=10']
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,46 unequal: No Solution
Exploring Operation: 33*10=330, Resulting Numbers: [330]
330,46 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,46 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 #0,3,4
Current State: 46:[64, 21], Operations: ['66/2=33', '54-33=21']
Exploring Operation: 64-21=43, Resulting Numbers: [43]
43,46 unequal: No Solution
Exploring Operation: 64*21=1344, Resulting Numbers: [1344]
1344,46 unequal: No Solution
Exploring Operation: 64+21=85, Resulting Numbers: [85]
85,46 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 #0,3,0
Current State: 46:[64, 87], Operations: ['66/2=33', '54+33=87']
Exploring Operation: 64+87=151, Resulting Numbers: [151]
151,46 unequal: No Solution
Exploring Operation: 87-64=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 64*87=5568, Resulting Numbers: [5568]
5568,46 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 #0,3,2
Current State: 46:[54, 97], Operations: ['66/2=33', '64+33=97']
Exploring Operation: 54*97=5238, Resulting Numbers: [5238]
5238,46 unequal: No Solution
Exploring Operation: 97-54=43, Resulting Numbers: [43]
43,46 unequal: No Solution
Exploring Operation: 54+97=151, Resulting Numbers: [151]
151,46 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: 46:[66, 54, 32], Operations: ['64/2=32']
Exploring Operation: 66-32=34, Resulting Numbers: [54, 34]
Generated Node #0,1,0: 46:[54, 34] Operation: 66-32=34
Exploring Operation: 66+32=98, Resulting Numbers: [54, 98]
Generated Node #0,1,1: 46:[54, 98] Operation: 66+32=98
Exploring Operation: 54+32=86, Resulting Numbers: [66, 86]
Generated Node #0,1,2: 46:[66, 86] Operation: 54+32=86
Exploring Operation: 54-32=22, Resulting Numbers: [66, 22]
Generated Node #0,1,3: 46:[66, 22] Operation: 54-32=22
Exploring Operation: 66-54=12, Resulting Numbers: [32, 12]
Generated Node #0,1,4: 46:[32, 12] Operation: 66-54=12
Moving to Node #0,2,1
Current State: 46:[2, 52], Operations: ['66-54=12', '64-12=52']
Exploring Operation: 2*52=104, Resulting Numbers: [104]
104,46 unequal: No Solution
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,46 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,46 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,46 unequal: No Solution
Moving to Node #0,0,3
Current State: 46:[2, 56], Operations: ['64-54=10', '66-10=56']
Exploring Operation: 2*56=112, Resulting Numbers: [112]
112,46 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,46 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,46 unequal: No Solution
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,46 unequal: No Solution
Moving to Node #0,0,1
Current State: 46:[10, 33], Operations: ['64-54=10', '66/2=33']
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 10+33=43, Resulting Numbers: [43]
43,46 unequal: No Solution
Exploring Operation: 10*33=330, Resulting Numbers: [330]
330,46 unequal: No Solution
Moving to Node #0,2,4
Current State: 46:[12, 32], Operations: ['66-54=12', '64/2=32']
Exploring Operation: 12+32=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,46 unequal: No Solution
Exploring Operation: 12*32=384, Resulting Numbers: [384]
384,46 unequal: No Solution
Moving to Node #0,1,4
Current State: 46:[32, 12], Operations: ['64/2=32', '66-54=12']
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Exploring Operation: 32*12=384, Resulting Numbers: [384]
384,46 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,46 unequal: No Solution
Moving to Node #0,2,3
Current State: 46:[64, 24], Operations: ['66-54=12', '2*12=24']
Exploring Operation: 64*24=1536, Resulting Numbers: [1536]
1536,46 unequal: No Solution
Exploring Operation: 64-24=40, Resulting Numbers: [40]
40,46 unequal: No Solution
Exploring Operation: 64+24=88, Resulting Numbers: [88]
88,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[54, 34], Operations: ['64/2=32', '66-32=34']
Exploring Operation: 54*34=1836, Resulting Numbers: [1836]
1836,46 unequal: No Solution
Exploring Operation: 54-34=20, Resulting Numbers: [20]
20,46 unequal: No Solution
Exploring Operation: 54+34=88, Resulting Numbers: [88]
88,46 unequal: No Solution
Moving to Node #0,1,3
Current State: 46:[66, 22], Operations: ['64/2=32', '54-32=22']
Exploring Operation: 66+22=88, Resulting Numbers: [88]
88,46 unequal: No Solution
Exploring Operation: 66/22=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 66-22=44, Resulting Numbers: [44]
44,46 unequal: No Solution
Exploring Operation: 66*22=1452, Resulting Numbers: [1452]
1452,46 unequal: No Solution
Moving to Node #0,2,0
Current State: 46:[64, 6], Operations: ['66-54=12', '12/2=6']
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,46 unequal: No Solution
Exploring Operation: 64+6=70, Resulting Numbers: [70]
70,46 unequal: No Solution
Exploring Operation: 64*6=384, Resulting Numbers: [384]
384,46 unequal: No Solution
Moving to Node #0,0,2
Current State: 46:[66, 5], Operations: ['64-54=10', '10/2=5']
Exploring Operation: 66+5=71, Resulting Numbers: [71]
71,46 unequal: No Solution
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,46 unequal: No Solution
Exploring Operation: 66*5=330, Resulting Numbers: [330]
330,46 unequal: No Solution
Moving to Node #0,0,0
Current State: 46:[66, 20], Operations: ['64-54=10', '2*10=20']
Exploring Operation: 66*20=1320, Resulting Numbers: [1320]
1320,46 unequal: No Solution
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[2, 66, 54, 64], Operations: []
Exploring Operation: 64-54=10, Resulting Numbers: [2, 66, 10]
Generated Node #0,0: 46:[2, 66, 10] Operation: 64-54=10
Moving to Node #0,0
Current State: 46:[2, 66, 10], Operations: ['64-54=10']
Exploring Operation: 2*10=20, Resulting Numbers: [66, 20]
Generated Node #0,0,0: 46:[66, 20] Operation: 2*10=20
Moving to Node #0,0,0
Current State: 46:[66, 20], Operations: ['64-54=10', '2*10=20']
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 0.911458 | hs_5 | sum_heuristic |
[
19,
29,
75,
46
] | 39 | [
"29-19=10",
"75-46=29",
"10+29=39"
] | Current State: 39:[19, 29, 75, 46], Operations: []
Exploring Operation: 29-19=10, Resulting Numbers: [75, 46, 10]
Generated Node #2: [75, 46, 10] from Operation: 29-19=10
Current State: 39:[75, 46, 10], Operations: ['29-19=10']
Exploring Operation: 75-46=29, Resulting Numbers: [10, 29]
Generated Node #3: [10, 29] from Operation: 75-46=29
Current State: 39:[10, 29], Operations: ['29-19=10', '75-46=29']
Exploring Operation: 10+29=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[19, 29, 75, 46], Operations: []
Exploring Operation: 75-29=46, Resulting Numbers: [19, 46, 46]
Generated Node #0,0: 39:[19, 46, 46] Operation: 75-29=46
Exploring Operation: 75-46=29, Resulting Numbers: [19, 29, 29]
Generated Node #0,1: 39:[19, 29, 29] Operation: 75-46=29
Exploring Operation: 75-19=56, Resulting Numbers: [29, 46, 56]
Generated Node #0,2: 39:[29, 46, 56] Operation: 75-19=56
Moving to Node #0,0
Current State: 39:[19, 46, 46], Operations: ['75-29=46']
Exploring Operation: 46-19=27, Resulting Numbers: [46, 27]
Generated Node #0,0,0: 39:[46, 27] Operation: 46-19=27
Exploring Operation: 46-46=0, Resulting Numbers: [19, 0]
Generated Node #0,0,1: 39:[19, 0] Operation: 46-46=0
Exploring Operation: 46/46=1, Resulting Numbers: [19, 1]
Generated Node #0,0,2: 39:[19, 1] Operation: 46/46=1
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 39:[19, 1], Operations: ['75-29=46', '46/46=1']
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,39 unequal: No Solution
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,39 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 39:[19, 0], Operations: ['75-29=46', '46-46=0']
Exploring Operation: 19-0=19, Resulting Numbers: [19]
19,39 unequal: No Solution
Exploring Operation: 19+0=19, Resulting Numbers: [19]
19,39 unequal: No Solution
Exploring Operation: 19*0=0, Resulting Numbers: [0]
0,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[46, 27], Operations: ['75-29=46', '46-19=27']
Exploring Operation: 46+27=73, Resulting Numbers: [73]
73,39 unequal: No Solution
Exploring Operation: 46*27=1242, Resulting Numbers: [1242]
1242,39 unequal: No Solution
Exploring Operation: 46-27=19, Resulting Numbers: [19]
19,39 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: 39:[19, 29, 29], Operations: ['75-46=29']
Exploring Operation: 29/29=1, Resulting Numbers: [19, 1]
Generated Node #0,1,0: 39:[19, 1] Operation: 29/29=1
Exploring Operation: 29-29=0, Resulting Numbers: [19, 0]
Generated Node #0,1,1: 39:[19, 0] Operation: 29-29=0
Exploring Operation: 29-19=10, Resulting Numbers: [29, 10]
Generated Node #0,1,2: 39:[29, 10] Operation: 29-19=10
Moving to Node #0,2
Current State: 39:[29, 46, 56], Operations: ['75-19=56']
Exploring Operation: 56-29=27, Resulting Numbers: [46, 27]
Generated Node #0,2,0: 39:[46, 27] Operation: 56-29=27
Exploring Operation: 46-29=17, Resulting Numbers: [56, 17]
Generated Node #0,2,1: 39:[56, 17] Operation: 46-29=17
Exploring Operation: 56-46=10, Resulting Numbers: [29, 10]
Generated Node #0,2,2: 39:[29, 10] Operation: 56-46=10
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 39:[29, 10], Operations: ['75-19=56', '56-46=10']
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[19, 29, 75, 46], Operations: []
Exploring Operation: 75-19=56, Resulting Numbers: [29, 46, 56]
Generated Node #0,2: 39:[29, 46, 56] Operation: 75-19=56
Moving to Node #0,2
Current State: 39:[29, 46, 56], Operations: ['75-19=56']
Exploring Operation: 56-46=10, Resulting Numbers: [29, 10]
Generated Node #0,2,2: 39:[29, 10] Operation: 56-46=10
Moving to Node #0,2,2
Current State: 39:[29, 10], Operations: ['75-19=56', '56-46=10']
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_3 | sum_heuristic |
[
27,
12,
16,
64
] | 35 | [
"27+12=39",
"64/16=4",
"39-4=35"
] | Current State: 35:[27, 12, 16, 64], Operations: []
Exploring Operation: 27+12=39, Resulting Numbers: [16, 64, 39]
Generated Node #2: [16, 64, 39] from Operation: 27+12=39
Current State: 35:[16, 64, 39], Operations: ['27+12=39']
Exploring Operation: 64/16=4, Resulting Numbers: [39, 4]
Generated Node #3: [39, 4] from Operation: 64/16=4
Current State: 35:[39, 4], Operations: ['27+12=39', '64/16=4']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[27, 12, 16, 64], Operations: []
Exploring Operation: 64-27=37, Resulting Numbers: [12, 16, 37]
Generated Node #0,0: 35:[12, 16, 37] Operation: 64-27=37
Exploring Operation: 64/16=4, Resulting Numbers: [27, 12, 4]
Generated Node #0,1: 35:[27, 12, 4] Operation: 64/16=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[27, 12, 4], Operations: ['64/16=4']
Exploring Operation: 27+12=39, Resulting Numbers: [4, 39]
Generated Node #0,1,0: 35:[4, 39] Operation: 27+12=39
Exploring Operation: 27-12=15, Resulting Numbers: [4, 15]
Generated Node #0,1,1: 35:[4, 15] Operation: 27-12=15
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 35:[4, 39], Operations: ['64/16=4', '27+12=39']
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,35 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[27, 12, 16, 64], Operations: []
Exploring Operation: 64/16=4, Resulting Numbers: [27, 12, 4]
Generated Node #0,1: 35:[27, 12, 4] Operation: 64/16=4
Moving to Node #0,1
Current State: 35:[27, 12, 4], Operations: ['64/16=4']
Exploring Operation: 27+12=39, Resulting Numbers: [4, 39]
Generated Node #0,1,0: 35:[4, 39] Operation: 27+12=39
Moving to Node #0,1,0
Current State: 35:[4, 39], Operations: ['64/16=4', '27+12=39']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
71,
19,
9,
75
] | 40 | [
"75-71=4",
"19-9=10",
"4*10=40"
] | Current State: 40:[71, 19, 9, 75], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [19, 9, 4]
Generated Node #2: [19, 9, 4] from Operation: 75-71=4
Current State: 40:[19, 9, 4], Operations: ['75-71=4']
Exploring Operation: 19-9=10, Resulting Numbers: [4, 10]
Generated Node #3: [4, 10] from Operation: 19-9=10
Current State: 40:[4, 10], Operations: ['75-71=4', '19-9=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[71, 19, 9, 75], Operations: []
Exploring Operation: 71-19=52, Resulting Numbers: [9, 75, 52]
Generated Node #0,0: 40:[9, 75, 52] Operation: 71-19=52
Exploring Operation: 75-71=4, Resulting Numbers: [19, 9, 4]
Generated Node #0,1: 40:[19, 9, 4] Operation: 75-71=4
Exploring Operation: 75-19=56, Resulting Numbers: [71, 9, 56]
Generated Node #0,2: 40:[71, 9, 56] Operation: 75-19=56
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[19, 9, 4], Operations: ['75-71=4']
Exploring Operation: 19-9=10, Resulting Numbers: [4, 10]
Generated Node #0,1,0: 40:[4, 10] Operation: 19-9=10
Exploring Operation: 19+4=23, Resulting Numbers: [9, 23]
Generated Node #0,1,1: 40:[9, 23] Operation: 19+4=23
Exploring Operation: 9-4=5, Resulting Numbers: [19, 5]
Generated Node #0,1,2: 40:[19, 5] Operation: 9-4=5
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 40:[4, 10], Operations: ['75-71=4', '19-9=10']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,40 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[71, 19, 9, 75], Operations: []
Exploring Operation: 75-71=4, Resulting Numbers: [19, 9, 4]
Generated Node #0,1: 40:[19, 9, 4] Operation: 75-71=4
Moving to Node #0,1
Current State: 40:[19, 9, 4], Operations: ['75-71=4']
Exploring Operation: 19-9=10, Resulting Numbers: [4, 10]
Generated Node #0,1,0: 40:[4, 10] Operation: 19-9=10
Moving to Node #0,1,0
Current State: 40:[4, 10], Operations: ['75-71=4', '19-9=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
43,
56,
92,
50
] | 29 | [
"56-43=13",
"92-50=42",
"42-13=29"
] | Current State: 29:[43, 56, 92, 50], Operations: []
Exploring Operation: 56-43=13, Resulting Numbers: [92, 50, 13]
Generated Node #2: [92, 50, 13] from Operation: 56-43=13
Current State: 29:[92, 50, 13], Operations: ['56-43=13']
Exploring Operation: 92-50=42, Resulting Numbers: [13, 42]
Generated Node #3: [13, 42] from Operation: 92-50=42
Current State: 29:[13, 42], Operations: ['56-43=13', '92-50=42']
Exploring Operation: 42-13=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[43, 56, 92, 50], Operations: []
Exploring Operation: 92-56=36, Resulting Numbers: [43, 50, 36]
Generated Node #0,0: 29:[43, 50, 36] Operation: 92-56=36
Exploring Operation: 92-50=42, Resulting Numbers: [43, 56, 42]
Generated Node #0,1: 29:[43, 56, 42] Operation: 92-50=42
Moving to Node #0,0
Current State: 29:[43, 50, 36], Operations: ['92-56=36']
Exploring Operation: 50-43=7, Resulting Numbers: [36, 7]
Generated Node #0,0,0: 29:[36, 7] Operation: 50-43=7
Exploring Operation: 50-36=14, Resulting Numbers: [43, 14]
Generated Node #0,0,1: 29:[43, 14] Operation: 50-36=14
Moving to Node #0,1
Current State: 29:[43, 56, 42], Operations: ['92-50=42']
Exploring Operation: 56-42=14, Resulting Numbers: [43, 14]
Generated Node #0,1,0: 29:[43, 14] Operation: 56-42=14
Exploring Operation: 56-43=13, Resulting Numbers: [42, 13]
Generated Node #0,1,1: 29:[42, 13] Operation: 56-43=13
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 29:[43, 14], Operations: ['92-50=42', '56-42=14']
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[43, 56, 92, 50], Operations: []
Exploring Operation: 92-50=42, Resulting Numbers: [43, 56, 42]
Generated Node #0,1: 29:[43, 56, 42] Operation: 92-50=42
Moving to Node #0,1
Current State: 29:[43, 56, 42], Operations: ['92-50=42']
Exploring Operation: 56-42=14, Resulting Numbers: [43, 14]
Generated Node #0,1,0: 29:[43, 14] Operation: 56-42=14
Moving to Node #0,1,0
Current State: 29:[43, 14], Operations: ['92-50=42', '56-42=14']
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
9,
27,
48,
39
] | 13 | [
"39-27=12",
"48/12=4",
"9+4=13"
] | Current State: 13:[9, 27, 48, 39], Operations: []
Exploring Operation: 39-27=12, Resulting Numbers: [9, 48, 12]
Generated Node #2: [9, 48, 12] from Operation: 39-27=12
Current State: 13:[9, 48, 12], Operations: ['39-27=12']
Exploring Operation: 48/12=4, Resulting Numbers: [9, 4]
Generated Node #3: [9, 4] from Operation: 48/12=4
Current State: 13:[9, 4], Operations: ['39-27=12', '48/12=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[9, 27, 48, 39], Operations: []
Exploring Operation: 48-39=9, Resulting Numbers: [9, 27, 9]
Generated Node #0,0: 13:[9, 27, 9] Operation: 48-39=9
Exploring Operation: 39-27=12, Resulting Numbers: [9, 48, 12]
Generated Node #0,1: 13:[9, 48, 12] Operation: 39-27=12
Exploring Operation: 48-27=21, Resulting Numbers: [9, 39, 21]
Generated Node #0,2: 13:[9, 39, 21] Operation: 48-27=21
Exploring Operation: 27-9=18, Resulting Numbers: [48, 39, 18]
Generated Node #0,3: 13:[48, 39, 18] Operation: 27-9=18
Moving to Node #0,0
Current State: 13:[9, 27, 9], Operations: ['48-39=9']
Exploring Operation: 27-9=18, Resulting Numbers: [9, 18]
Generated Node #0,0,0: 13:[9, 18] Operation: 27-9=18
Exploring Operation: 27/9=3, Resulting Numbers: [9, 3]
Generated Node #0,0,1: 13:[9, 3] Operation: 27/9=3
Exploring Operation: 27-9=18, Resulting Numbers: [9, 18]
Generated Node #0,0,2: 13:[9, 18] Operation: 27-9=18
Exploring Operation: 27/9=3, Resulting Numbers: [9, 3]
Generated Node #0,0,3: 13:[9, 3] Operation: 27/9=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[9, 18], Operations: ['48-39=9', '27-9=18']
Exploring Operation: 9*18=162, Resulting Numbers: [162]
162,13 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,13 unequal: No Solution
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,13 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 #0,0,2
Current State: 13:[9, 18], Operations: ['48-39=9', '27-9=18']
Exploring Operation: 9*18=162, Resulting Numbers: [162]
162,13 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,13 unequal: No Solution
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,13 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 #0,0,1
Current State: 13:[9, 3], Operations: ['48-39=9', '27/9=3']
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,13 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,13 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 #0,0,3
Current State: 13:[9, 3], Operations: ['48-39=9', '27/9=3']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,13 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: 13:[9, 39, 21], Operations: ['48-27=21']
Exploring Operation: 39-9=30, Resulting Numbers: [21, 30]
Generated Node #0,2,0: 13:[21, 30] Operation: 39-9=30
Exploring Operation: 9+39=48, Resulting Numbers: [21, 48]
Generated Node #0,2,1: 13:[21, 48] Operation: 9+39=48
Exploring Operation: 39-21=18, Resulting Numbers: [9, 18]
Generated Node #0,2,2: 13:[9, 18] Operation: 39-21=18
Exploring Operation: 21-9=12, Resulting Numbers: [39, 12]
Generated Node #0,2,3: 13:[39, 12] Operation: 21-9=12
Moving to Node #0,1
Current State: 13:[9, 48, 12], Operations: ['39-27=12']
Exploring Operation: 48-9=39, Resulting Numbers: [12, 39]
Generated Node #0,1,0: 13:[12, 39] Operation: 48-9=39
Exploring Operation: 48/12=4, Resulting Numbers: [9, 4]
Generated Node #0,1,1: 13:[9, 4] Operation: 48/12=4
Exploring Operation: 48-12=36, Resulting Numbers: [9, 36]
Generated Node #0,1,2: 13:[9, 36] Operation: 48-12=36
Exploring Operation: 9+12=21, Resulting Numbers: [48, 21]
Generated Node #0,1,3: 13:[48, 21] Operation: 9+12=21
Moving to Node #0,3
Current State: 13:[48, 39, 18], Operations: ['27-9=18']
Exploring Operation: 48+39=87, Resulting Numbers: [18, 87]
Generated Node #0,3,0: 13:[18, 87] Operation: 48+39=87
Exploring Operation: 48-39=9, Resulting Numbers: [18, 9]
Generated Node #0,3,1: 13:[18, 9] Operation: 48-39=9
Exploring Operation: 39-18=21, Resulting Numbers: [48, 21]
Generated Node #0,3,2: 13:[48, 21] Operation: 39-18=21
Exploring Operation: 48-18=30, Resulting Numbers: [39, 30]
Generated Node #0,3,3: 13:[39, 30] Operation: 48-18=30
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 13:[18, 9], Operations: ['27-9=18', '48-39=9']
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 18*9=162, Resulting Numbers: [162]
162,13 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,13 unequal: No Solution
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,13 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 #0,3,2
Current State: 13:[48, 21], Operations: ['27-9=18', '39-18=21']
Exploring Operation: 48+21=69, Resulting Numbers: [69]
69,13 unequal: No Solution
Exploring Operation: 48-21=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 48*21=1008, Resulting Numbers: [1008]
1008,13 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 #0,3,3
Current State: 13:[39, 30], Operations: ['27-9=18', '48-18=30']
Exploring Operation: 39+30=69, Resulting Numbers: [69]
69,13 unequal: No Solution
Exploring Operation: 39*30=1170, Resulting Numbers: [1170]
1170,13 unequal: No Solution
Exploring Operation: 39-30=9, Resulting Numbers: [9]
9,13 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 #0,3,0
Current State: 13:[18, 87], Operations: ['27-9=18', '48+39=87']
Exploring Operation: 87-18=69, Resulting Numbers: [69]
69,13 unequal: No Solution
Exploring Operation: 18*87=1566, Resulting Numbers: [1566]
1566,13 unequal: No Solution
Exploring Operation: 18+87=105, Resulting Numbers: [105]
105,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 13:[9, 18], Operations: ['48-27=21', '39-21=18']
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,13 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 9*18=162, Resulting Numbers: [162]
162,13 unequal: No Solution
Moving to Node #0,1,1
Current State: 13:[9, 4], Operations: ['39-27=12', '48/12=4']
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[9, 27, 48, 39], Operations: []
Exploring Operation: 39-27=12, Resulting Numbers: [9, 48, 12]
Generated Node #0,1: 13:[9, 48, 12] Operation: 39-27=12
Moving to Node #0,1
Current State: 13:[9, 48, 12], Operations: ['39-27=12']
Exploring Operation: 48/12=4, Resulting Numbers: [9, 4]
Generated Node #0,1,1: 13:[9, 4] Operation: 48/12=4
Moving to Node #0,1,1
Current State: 13:[9, 4], Operations: ['39-27=12', '48/12=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 0.948785 | hs_4 | mult_heuristic |
[
33,
15,
4,
5
] | 47 | [
"33+15=48",
"5-4=1",
"48-1=47"
] | Current State: 47:[33, 15, 4, 5], Operations: []
Exploring Operation: 33+15=48, Resulting Numbers: [4, 5, 48]
Generated Node #2: [4, 5, 48] from Operation: 33+15=48
Current State: 47:[4, 5, 48], Operations: ['33+15=48']
Exploring Operation: 5-4=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 5-4=1
Current State: 47:[48, 1], Operations: ['33+15=48', '5-4=1']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[33, 15, 4, 5], Operations: []
Exploring Operation: 15*4=60, Resulting Numbers: [33, 5, 60]
Generated Node #0,0: 47:[33, 5, 60] Operation: 15*4=60
Exploring Operation: 4*5=20, Resulting Numbers: [33, 15, 20]
Generated Node #0,1: 47:[33, 15, 20] Operation: 4*5=20
Exploring Operation: 33+4=37, Resulting Numbers: [15, 5, 37]
Generated Node #0,2: 47:[15, 5, 37] Operation: 33+4=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[33, 5, 60], Operations: ['15*4=60']
Exploring Operation: 60-5=55, Resulting Numbers: [33, 55]
Generated Node #0,0,0: 47:[33, 55] Operation: 60-5=55
Exploring Operation: 33+5=38, Resulting Numbers: [60, 38]
Generated Node #0,0,1: 47:[60, 38] Operation: 33+5=38
Exploring Operation: 33-5=28, Resulting Numbers: [60, 28]
Generated Node #0,0,2: 47:[60, 28] Operation: 33-5=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[33, 55], Operations: ['15*4=60', '60-5=55']
Exploring Operation: 55-33=22, Resulting Numbers: [22]
22,47 unequal: No Solution
Exploring Operation: 33+55=88, Resulting Numbers: [88]
88,47 unequal: No Solution
Exploring Operation: 33*55=1815, Resulting Numbers: [1815]
1815,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[60, 38], Operations: ['15*4=60', '33+5=38']
Exploring Operation: 60-38=22, Resulting Numbers: [22]
22,47 unequal: No Solution
Exploring Operation: 60+38=98, Resulting Numbers: [98]
98,47 unequal: No Solution
Exploring Operation: 60*38=2280, Resulting Numbers: [2280]
2280,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 47:[60, 28], Operations: ['15*4=60', '33-5=28']
Exploring Operation: 60-28=32, Resulting Numbers: [32]
32,47 unequal: No Solution
Exploring Operation: 60*28=1680, Resulting Numbers: [1680]
1680,47 unequal: No Solution
Exploring Operation: 60+28=88, Resulting Numbers: [88]
88,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[33, 15, 20], Operations: ['4*5=20']
Exploring Operation: 33+20=53, Resulting Numbers: [15, 53]
Generated Node #0,1,0: 47:[15, 53] Operation: 33+20=53
Exploring Operation: 15+20=35, Resulting Numbers: [33, 35]
Generated Node #0,1,1: 47:[33, 35] Operation: 15+20=35
Exploring Operation: 33+15=48, Resulting Numbers: [20, 48]
Generated Node #0,1,2: 47:[20, 48] Operation: 33+15=48
Moving to Node #0,1,1
Current State: 47:[33, 35], Operations: ['4*5=20', '15+20=35']
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,47 unequal: No Solution
Exploring Operation: 33+35=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Exploring Operation: 33*35=1155, Resulting Numbers: [1155]
1155,47 unequal: No Solution
Moving to Node #0,1,2
Current State: 47:[20, 48], Operations: ['4*5=20', '33+15=48']
Exploring Operation: 20+48=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,47 unequal: No Solution
Exploring Operation: 20*48=960, Resulting Numbers: [960]
960,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[15, 53], Operations: ['4*5=20', '33+20=53']
Exploring Operation: 15*53=795, Resulting Numbers: [795]
795,47 unequal: No Solution
Exploring Operation: 15+53=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Exploring Operation: 53-15=38, Resulting Numbers: [38]
38,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[15, 5, 37], Operations: ['33+4=37']
Exploring Operation: 15+5=20, Resulting Numbers: [37, 20]
Generated Node #0,2,0: 47:[37, 20] Operation: 15+5=20
Exploring Operation: 5+37=42, Resulting Numbers: [15, 42]
Generated Node #0,2,1: 47:[15, 42] Operation: 5+37=42
Exploring Operation: 15*5=75, Resulting Numbers: [37, 75]
Generated Node #0,2,2: 47:[37, 75] Operation: 15*5=75
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 47:[37, 20], Operations: ['33+4=37', '15+5=20']
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,47 unequal: No Solution
Exploring Operation: 37+20=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Exploring Operation: 37*20=740, Resulting Numbers: [740]
740,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 47:[15, 42], Operations: ['33+4=37', '5+37=42']
Exploring Operation: 15*42=630, Resulting Numbers: [630]
630,47 unequal: No Solution
Exploring Operation: 42-15=27, Resulting Numbers: [27]
27,47 unequal: No Solution
Exploring Operation: 15+42=57, Resulting Numbers: [57]
57,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 47:[37, 75], Operations: ['33+4=37', '15*5=75']
Exploring Operation: 37+75=112, Resulting Numbers: [112]
112,47 unequal: No Solution
Exploring Operation: 37*75=2775, Resulting Numbers: [2775]
2775,47 unequal: No Solution
Exploring Operation: 75-37=38, Resulting Numbers: [38]
38,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
37,
4,
12,
63
] | 97 | [
"37*4=148",
"63-12=51",
"148-51=97"
] | Current State: 97:[37, 4, 12, 63], Operations: []
Exploring Operation: 37*4=148, Resulting Numbers: [12, 63, 148]
Generated Node #2: [12, 63, 148] from Operation: 37*4=148
Current State: 97:[12, 63, 148], Operations: ['37*4=148']
Exploring Operation: 63-12=51, Resulting Numbers: [148, 51]
Generated Node #3: [148, 51] from Operation: 63-12=51
Current State: 97:[148, 51], Operations: ['37*4=148', '63-12=51']
Exploring Operation: 148-51=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[37, 4, 12, 63], Operations: []
Exploring Operation: 4*12=48, Resulting Numbers: [37, 63, 48]
Generated Node #0,0: 97:[37, 63, 48] Operation: 4*12=48
Exploring Operation: 4+12=16, Resulting Numbers: [37, 63, 16]
Generated Node #0,1: 97:[37, 63, 16] Operation: 4+12=16
Exploring Operation: 37+4=41, Resulting Numbers: [12, 63, 41]
Generated Node #0,2: 97:[12, 63, 41] Operation: 37+4=41
Exploring Operation: 37*4=148, Resulting Numbers: [12, 63, 148]
Generated Node #0,3: 97:[12, 63, 148] Operation: 37*4=148
Exploring Operation: 37+12=49, Resulting Numbers: [4, 63, 49]
Generated Node #0,4: 97:[4, 63, 49] Operation: 37+12=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[37, 63, 48], Operations: ['4*12=48']
Exploring Operation: 48-37=11, Resulting Numbers: [63, 11]
Generated Node #0,0,0: 97:[63, 11] Operation: 48-37=11
Exploring Operation: 37+48=85, Resulting Numbers: [63, 85]
Generated Node #0,0,1: 97:[63, 85] Operation: 37+48=85
Exploring Operation: 63+48=111, Resulting Numbers: [37, 111]
Generated Node #0,0,2: 97:[37, 111] Operation: 63+48=111
Exploring Operation: 63-37=26, Resulting Numbers: [48, 26]
Generated Node #0,0,3: 97:[48, 26] Operation: 63-37=26
Exploring Operation: 37+63=100, Resulting Numbers: [48, 100]
Generated Node #0,0,4: 97:[48, 100] Operation: 37+63=100
Moving to Node #0,0,1
Current State: 97:[63, 85], Operations: ['4*12=48', '37+48=85']
Exploring Operation: 85-63=22, Resulting Numbers: [22]
22,97 unequal: No Solution
Exploring Operation: 63*85=5355, Resulting Numbers: [5355]
5355,97 unequal: No Solution
Exploring Operation: 63+85=148, Resulting Numbers: [148]
148,97 unequal: No Solution
Moving to Node #0,0,4
Current State: 97:[48, 100], Operations: ['4*12=48', '37+63=100']
Exploring Operation: 100-48=52, Resulting Numbers: [52]
52,97 unequal: No Solution
Exploring Operation: 48+100=148, Resulting Numbers: [148]
148,97 unequal: No Solution
Exploring Operation: 48*100=4800, Resulting Numbers: [4800]
4800,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[37, 111], Operations: ['4*12=48', '63+48=111']
Exploring Operation: 111-37=74, Resulting Numbers: [74]
74,97 unequal: No Solution
Exploring Operation: 37*111=4107, Resulting Numbers: [4107]
4107,97 unequal: No Solution
Exploring Operation: 111/37=3, Resulting Numbers: [3]
3,97 unequal: No Solution
Exploring Operation: 37+111=148, Resulting Numbers: [148]
148,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[63, 11], Operations: ['4*12=48', '48-37=11']
Exploring Operation: 63+11=74, Resulting Numbers: [74]
74,97 unequal: No Solution
Exploring Operation: 63*11=693, Resulting Numbers: [693]
693,97 unequal: No Solution
Exploring Operation: 63-11=52, Resulting Numbers: [52]
52,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[48, 26], Operations: ['4*12=48', '63-37=26']
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,97 unequal: No Solution
Exploring Operation: 48+26=74, Resulting Numbers: [74]
74,97 unequal: No Solution
Exploring Operation: 48*26=1248, Resulting Numbers: [1248]
1248,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 97:[12, 63, 148], Operations: ['37*4=148']
Exploring Operation: 12+148=160, Resulting Numbers: [63, 160]
Generated Node #0,3,0: 97:[63, 160] Operation: 12+148=160
Exploring Operation: 148-12=136, Resulting Numbers: [63, 136]
Generated Node #0,3,1: 97:[63, 136] Operation: 148-12=136
Exploring Operation: 12+63=75, Resulting Numbers: [148, 75]
Generated Node #0,3,2: 97:[148, 75] Operation: 12+63=75
Exploring Operation: 148-63=85, Resulting Numbers: [12, 85]
Generated Node #0,3,3: 97:[12, 85] Operation: 148-63=85
Exploring Operation: 63-12=51, Resulting Numbers: [148, 51]
Generated Node #0,3,4: 97:[148, 51] Operation: 63-12=51
Moving to Node #0,3,1
Current State: 97:[63, 136], Operations: ['37*4=148', '148-12=136']
Exploring Operation: 136-63=73, Resulting Numbers: [73]
73,97 unequal: No Solution
Exploring Operation: 63+136=199, Resulting Numbers: [199]
199,97 unequal: No Solution
Exploring Operation: 63*136=8568, Resulting Numbers: [8568]
8568,97 unequal: No Solution
Moving to Node #0,3,2
Current State: 97:[148, 75], Operations: ['37*4=148', '12+63=75']
Exploring Operation: 148-75=73, Resulting Numbers: [73]
73,97 unequal: No Solution
Exploring Operation: 148+75=223, Resulting Numbers: [223]
223,97 unequal: No Solution
Exploring Operation: 148*75=11100, Resulting Numbers: [11100]
11100,97 unequal: No Solution
Moving to Node #0,3,0
Current State: 97:[63, 160], Operations: ['37*4=148', '12+148=160']
Exploring Operation: 160-63=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[37, 4, 12, 63], Operations: []
Exploring Operation: 37*4=148, Resulting Numbers: [12, 63, 148]
Generated Node #0,3: 97:[12, 63, 148] Operation: 37*4=148
Moving to Node #0,3
Current State: 97:[12, 63, 148], Operations: ['37*4=148']
Exploring Operation: 12+148=160, Resulting Numbers: [63, 160]
Generated Node #0,3,0: 97:[63, 160] Operation: 12+148=160
Moving to Node #0,3,0
Current State: 97:[63, 160], Operations: ['37*4=148', '12+148=160']
Exploring Operation: 160-63=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | mult_heuristic |
[
69,
71,
80,
15
] | 94 | [
"80-69=11",
"15*11=165",
"165-71=94"
] | Current State: 94:[69, 71, 80, 15], Operations: []
Exploring Operation: 80-69=11, Resulting Numbers: [71, 15, 11]
Generated Node #2: [71, 15, 11] from Operation: 80-69=11
Current State: 94:[71, 15, 11], Operations: ['80-69=11']
Exploring Operation: 15*11=165, Resulting Numbers: [71, 165]
Generated Node #3: [71, 165] from Operation: 15*11=165
Current State: 94:[71, 165], Operations: ['80-69=11', '15*11=165']
Exploring Operation: 165-71=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[69, 71, 80, 15], Operations: []
Exploring Operation: 71-69=2, Resulting Numbers: [80, 15, 2]
Generated Node #0,0: 94:[80, 15, 2] Operation: 71-69=2
Exploring Operation: 80-71=9, Resulting Numbers: [69, 15, 9]
Generated Node #0,1: 94:[69, 15, 9] Operation: 80-71=9
Moving to Node #0,0
Current State: 94:[80, 15, 2], Operations: ['71-69=2']
Exploring Operation: 80-15=65, Resulting Numbers: [2, 65]
Generated Node #0,0,0: 94:[2, 65] Operation: 80-15=65
Exploring Operation: 80+15=95, Resulting Numbers: [2, 95]
Generated Node #0,0,1: 94:[2, 95] Operation: 80+15=95
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 94:[2, 95], Operations: ['71-69=2', '80+15=95']
Exploring Operation: 2+95=97, Resulting Numbers: [97]
97,94 unequal: No Solution
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[2, 65], Operations: ['71-69=2', '80-15=65']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,94 unequal: No Solution
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,94 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: 94:[69, 15, 9], Operations: ['80-71=9']
Exploring Operation: 69-15=54, Resulting Numbers: [9, 54]
Generated Node #0,1,0: 94:[9, 54] Operation: 69-15=54
Exploring Operation: 69+15=84, Resulting Numbers: [9, 84]
Generated Node #0,1,1: 94:[9, 84] Operation: 69+15=84
Moving to Node #0,1,0
Current State: 94:[9, 54], Operations: ['80-71=9', '69-15=54']
Exploring Operation: 54-9=45, Resulting Numbers: [45]
45,94 unequal: No Solution
Exploring Operation: 54/9=6, Resulting Numbers: [6]
6,94 unequal: No Solution
Moving to Node #0,1,1
Current State: 94:[9, 84], Operations: ['80-71=9', '69+15=84']
Exploring Operation: 9+84=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Exploring Operation: 84-9=75, Resulting Numbers: [75]
75,94 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
63,
30,
27,
54
] | 27 | [
"63-54=9",
"30-27=3",
"9*3=27"
] | Current State: 27:[63, 30, 27, 54], Operations: []
Exploring Operation: 63-54=9, Resulting Numbers: [30, 27, 9]
Generated Node #2: [30, 27, 9] from Operation: 63-54=9
Current State: 27:[30, 27, 9], Operations: ['63-54=9']
Exploring Operation: 30-27=3, Resulting Numbers: [9, 3]
Generated Node #3: [9, 3] from Operation: 30-27=3
Current State: 27:[9, 3], Operations: ['63-54=9', '30-27=3']
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[63, 30, 27, 54], Operations: []
Exploring Operation: 63-30=33, Resulting Numbers: [27, 54, 33]
Generated Node #0,0: 27:[27, 54, 33] Operation: 63-30=33
Exploring Operation: 63-54=9, Resulting Numbers: [30, 27, 9]
Generated Node #0,1: 27:[30, 27, 9] Operation: 63-54=9
Moving to Node #0,1
Current State: 27:[30, 27, 9], Operations: ['63-54=9']
Exploring Operation: 27/9=3, Resulting Numbers: [30, 3]
Generated Node #0,1,0: 27:[30, 3] Operation: 27/9=3
Exploring Operation: 30-27=3, Resulting Numbers: [9, 3]
Generated Node #0,1,1: 27:[9, 3] Operation: 30-27=3
Moving to Node #0,0
Current State: 27:[27, 54, 33], Operations: ['63-30=33']
Exploring Operation: 54-33=21, Resulting Numbers: [27, 21]
Generated Node #0,0,0: 27:[27, 21] Operation: 54-33=21
Exploring Operation: 54-27=27, Resulting Numbers: [33, 27]
Generated Node #0,0,1: 27:[33, 27] Operation: 54-27=27
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 27:[27, 21], Operations: ['63-30=33', '54-33=21']
Exploring Operation: 27-21=6, Resulting Numbers: [6]
6,27 unequal: No Solution
Exploring Operation: 27+21=48, Resulting Numbers: [48]
48,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 27:[33, 27], Operations: ['63-30=33', '54-27=27']
Exploring Operation: 33-27=6, Resulting Numbers: [6]
6,27 unequal: No Solution
Exploring Operation: 33+27=60, Resulting Numbers: [60]
60,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 27:[9, 3], Operations: ['63-54=9', '30-27=3']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[63, 30, 27, 54], Operations: []
Exploring Operation: 63-54=9, Resulting Numbers: [30, 27, 9]
Generated Node #0,1: 27:[30, 27, 9] Operation: 63-54=9
Moving to Node #0,1
Current State: 27:[30, 27, 9], Operations: ['63-54=9']
Exploring Operation: 30-27=3, Resulting Numbers: [9, 3]
Generated Node #0,1,1: 27:[9, 3] Operation: 30-27=3
Moving to Node #0,1,1
Current State: 27:[9, 3], Operations: ['63-54=9', '30-27=3']
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 0.986111 | hs_2 | mult_heuristic |
[
47,
27,
12,
64
] | 22 | [
"47+27=74",
"64-12=52",
"74-52=22"
] | Current State: 22:[47, 27, 12, 64], Operations: []
Exploring Operation: 47+27=74, Resulting Numbers: [12, 64, 74]
Generated Node #2: [12, 64, 74] from Operation: 47+27=74
Current State: 22:[12, 64, 74], Operations: ['47+27=74']
Exploring Operation: 64-12=52, Resulting Numbers: [74, 52]
Generated Node #3: [74, 52] from Operation: 64-12=52
Current State: 22:[74, 52], Operations: ['47+27=74', '64-12=52']
Exploring Operation: 74-52=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[47, 27, 12, 64], Operations: []
Exploring Operation: 64-47=17, Resulting Numbers: [27, 12, 17]
Generated Node #0,0: 22:[27, 12, 17] Operation: 64-47=17
Exploring Operation: 47-27=20, Resulting Numbers: [12, 64, 20]
Generated Node #0,1: 22:[12, 64, 20] Operation: 47-27=20
Exploring Operation: 64-27=37, Resulting Numbers: [47, 12, 37]
Generated Node #0,2: 22:[47, 12, 37] Operation: 64-27=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[27, 12, 17], Operations: ['64-47=17']
Exploring Operation: 17-12=5, Resulting Numbers: [27, 5]
Generated Node #0,0,0: 22:[27, 5] Operation: 17-12=5
Exploring Operation: 27-17=10, Resulting Numbers: [12, 10]
Generated Node #0,0,1: 22:[12, 10] Operation: 27-17=10
Exploring Operation: 27-12=15, Resulting Numbers: [17, 15]
Generated Node #0,0,2: 22:[17, 15] Operation: 27-12=15
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 22:[12, 10], Operations: ['64-47=17', '27-17=10']
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 12*10=120, Resulting Numbers: [120]
120,22 unequal: No Solution
Exploring Operation: 12+10=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[47, 27, 12, 64], Operations: []
Exploring Operation: 64-47=17, Resulting Numbers: [27, 12, 17]
Generated Node #0,0: 22:[27, 12, 17] Operation: 64-47=17
Moving to Node #0,0
Current State: 22:[27, 12, 17], Operations: ['64-47=17']
Exploring Operation: 27-17=10, Resulting Numbers: [12, 10]
Generated Node #0,0,1: 22:[12, 10] Operation: 27-17=10
Moving to Node #0,0,1
Current State: 22:[12, 10], Operations: ['64-47=17', '27-17=10']
Exploring Operation: 12+10=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
59,
43,
29,
13
] | 59 | [
"43-29=14",
"14-13=1",
"59*1=59"
] | Current State: 59:[59, 43, 29, 13], Operations: []
Exploring Operation: 43-29=14, Resulting Numbers: [59, 13, 14]
Generated Node #2: [59, 13, 14] from Operation: 43-29=14
Current State: 59:[59, 13, 14], Operations: ['43-29=14']
Exploring Operation: 14-13=1, Resulting Numbers: [59, 1]
Generated Node #3: [59, 1] from Operation: 14-13=1
Current State: 59:[59, 1], Operations: ['43-29=14', '14-13=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[59, 43, 29, 13], Operations: []
Exploring Operation: 59+13=72, Resulting Numbers: [43, 29, 72]
Generated Node #0,0: 59:[43, 29, 72] Operation: 59+13=72
Exploring Operation: 43+13=56, Resulting Numbers: [59, 29, 56]
Generated Node #0,1: 59:[59, 29, 56] Operation: 43+13=56
Exploring Operation: 43+29=72, Resulting Numbers: [59, 13, 72]
Generated Node #0,2: 59:[59, 13, 72] Operation: 43+29=72
Exploring Operation: 29+13=42, Resulting Numbers: [59, 43, 42]
Generated Node #0,3: 59:[59, 43, 42] Operation: 29+13=42
Exploring Operation: 59-13=46, Resulting Numbers: [43, 29, 46]
Generated Node #0,4: 59:[43, 29, 46] Operation: 59-13=46
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[59, 29, 56], Operations: ['43+13=56']
Exploring Operation: 56-29=27, Resulting Numbers: [59, 27]
Generated Node #0,1,0: 59:[59, 27] Operation: 56-29=27
Exploring Operation: 59+56=115, Resulting Numbers: [29, 115]
Generated Node #0,1,1: 59:[29, 115] Operation: 59+56=115
Exploring Operation: 59+29=88, Resulting Numbers: [56, 88]
Generated Node #0,1,2: 59:[56, 88] Operation: 59+29=88
Exploring Operation: 29+56=85, Resulting Numbers: [59, 85]
Generated Node #0,1,3: 59:[59, 85] Operation: 29+56=85
Exploring Operation: 59-29=30, Resulting Numbers: [56, 30]
Generated Node #0,1,4: 59:[56, 30] Operation: 59-29=30
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 59:[59, 85], Operations: ['43+13=56', '29+56=85']
Exploring Operation: 59+85=144, Resulting Numbers: [144]
144,59 unequal: No Solution
Exploring Operation: 59*85=5015, Resulting Numbers: [5015]
5015,59 unequal: No Solution
Exploring Operation: 85-59=26, Resulting Numbers: [26]
26,59 unequal: No Solution
No 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: 59:[59, 27], Operations: ['43+13=56', '56-29=27']
Exploring Operation: 59*27=1593, Resulting Numbers: [1593]
1593,59 unequal: No Solution
Exploring Operation: 59-27=32, Resulting Numbers: [32]
32,59 unequal: No Solution
Exploring Operation: 59+27=86, Resulting Numbers: [86]
86,59 unequal: No Solution
No 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: 59:[56, 88], Operations: ['43+13=56', '59+29=88']
Exploring Operation: 56*88=4928, Resulting Numbers: [4928]
4928,59 unequal: No Solution
Exploring Operation: 56+88=144, Resulting Numbers: [144]
144,59 unequal: No Solution
Exploring Operation: 88-56=32, Resulting Numbers: [32]
32,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 59:[56, 30], Operations: ['43+13=56', '59-29=30']
Exploring Operation: 56-30=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Exploring Operation: 56*30=1680, Resulting Numbers: [1680]
1680,59 unequal: No Solution
Exploring Operation: 56+30=86, Resulting Numbers: [86]
86,59 unequal: No Solution
No 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: 59:[29, 115], Operations: ['43+13=56', '59+56=115']
Exploring Operation: 115-29=86, Resulting Numbers: [86]
86,59 unequal: No Solution
Exploring Operation: 29*115=3335, Resulting Numbers: [3335]
3335,59 unequal: No Solution
Exploring Operation: 29+115=144, Resulting Numbers: [144]
144,59 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
Start Sub Search at level 1: Moving to Node #0,3
Current State: 59:[59, 43, 42], Operations: ['29+13=42']
Exploring Operation: 59+42=101, Resulting Numbers: [43, 101]
Generated Node #0,3,0: 59:[43, 101] Operation: 59+42=101
Exploring Operation: 59-42=17, Resulting Numbers: [43, 17]
Generated Node #0,3,1: 59:[43, 17] Operation: 59-42=17
Exploring Operation: 43-42=1, Resulting Numbers: [59, 1]
Generated Node #0,3,2: 59:[59, 1] Operation: 43-42=1
Exploring Operation: 59+43=102, Resulting Numbers: [42, 102]
Generated Node #0,3,3: 59:[42, 102] Operation: 59+43=102
Exploring Operation: 43+42=85, Resulting Numbers: [59, 85]
Generated Node #0,3,4: 59:[59, 85] Operation: 43+42=85
Moving to Node #0,3,4
Current State: 59:[59, 85], Operations: ['29+13=42', '43+42=85']
Exploring Operation: 85-59=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Exploring Operation: 59*85=5015, Resulting Numbers: [5015]
5015,59 unequal: No Solution
Exploring Operation: 59+85=144, Resulting Numbers: [144]
144,59 unequal: No Solution
Moving to Node #0,3,1
Current State: 59:[43, 17], Operations: ['29+13=42', '59-42=17']
Exploring Operation: 43*17=731, Resulting Numbers: [731]
731,59 unequal: No Solution
Exploring Operation: 43+17=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Exploring Operation: 43-17=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Moving to Node #0,3,0
Current State: 59:[43, 101], Operations: ['29+13=42', '59+42=101']
Exploring Operation: 43+101=144, Resulting Numbers: [144]
144,59 unequal: No Solution
Exploring Operation: 43*101=4343, Resulting Numbers: [4343]
4343,59 unequal: No Solution
Exploring Operation: 101-43=58, Resulting Numbers: [58]
58,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[59, 1], Operations: ['29+13=42', '43-42=1']
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,59 unequal: No Solution
Exploring Operation: 59+1=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[59, 43, 29, 13], Operations: []
Exploring Operation: 29+13=42, Resulting Numbers: [59, 43, 42]
Generated Node #0,3: 59:[59, 43, 42] Operation: 29+13=42
Moving to Node #0,3
Current State: 59:[59, 43, 42], Operations: ['29+13=42']
Exploring Operation: 43-42=1, Resulting Numbers: [59, 1]
Generated Node #0,3,2: 59:[59, 1] Operation: 43-42=1
Moving to Node #0,3,2
Current State: 59:[59, 1], Operations: ['29+13=42', '43-42=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.960069 | hs_5 | mult_heuristic |
[
32,
16,
32,
4
] | 16 | [
"32/16=2",
"32/4=8",
"2*8=16"
] | Current State: 16:[32, 16, 32, 4], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [4, 2]
Generated Node #2: [4, 2] from Operation: 32/16=2
Current State: 16:[4, 2], Operations: ['32/16=2']
Exploring Operation: 32/4=8, Resulting Numbers: [2, 8]
Generated Node #3: [2, 8] from Operation: 32/4=8
Current State: 16:[2, 8], Operations: ['32/16=2', '32/4=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[32, 16, 32, 4], Operations: []
Exploring Operation: 32-16=16, Resulting Numbers: [32, 4, 16]
Generated Node #0,0: 16:[32, 4, 16] Operation: 32-16=16
Exploring Operation: 32-32=0, Resulting Numbers: [16, 4, 0]
Generated Node #0,1: 16:[16, 4, 0] Operation: 32-32=0
Exploring Operation: 32/32=1, Resulting Numbers: [16, 4, 1]
Generated Node #0,2: 16:[16, 4, 1] Operation: 32/32=1
Moving to Node #0,2
Current State: 16:[16, 4, 1], Operations: ['32/32=1']
Exploring Operation: 16*1=16, Resulting Numbers: [4, 16]
Generated Node #0,2,0: 16:[4, 16] Operation: 16*1=16
Exploring Operation: 16/1=16, Resulting Numbers: [4, 16]
Generated Node #0,2,1: 16:[4, 16] Operation: 16/1=16
Exploring Operation: 4*1=4, Resulting Numbers: [16, 4]
Generated Node #0,2,2: 16:[16, 4] Operation: 4*1=4
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 16:[4, 16], Operations: ['32/32=1', '16*1=16']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,16 unequal: No Solution
No 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: 16:[4, 16], Operations: ['32/32=1', '16/1=16']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,16 unequal: No Solution
No 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: 16:[16, 4], Operations: ['32/32=1', '4*1=4']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,16 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: 16:[16, 4, 0], Operations: ['32-32=0']
Exploring Operation: 16-0=16, Resulting Numbers: [4, 16]
Generated Node #0,1,0: 16:[4, 16] Operation: 16-0=16
Exploring Operation: 16+0=16, Resulting Numbers: [4, 16]
Generated Node #0,1,1: 16:[4, 16] Operation: 16+0=16
Exploring Operation: 4+0=4, Resulting Numbers: [16, 4]
Generated Node #0,1,2: 16:[16, 4] Operation: 4+0=4
Moving to Node #0,0
Current State: 16:[32, 4, 16], Operations: ['32-16=16']
Exploring Operation: 32/4=8, Resulting Numbers: [16, 8]
Generated Node #0,0,0: 16:[16, 8] Operation: 32/4=8
Exploring Operation: 32-16=16, Resulting Numbers: [4, 16]
Generated Node #0,0,1: 16:[4, 16] Operation: 32-16=16
Exploring Operation: 32/16=2, Resulting Numbers: [4, 2]
Generated Node #0,0,2: 16:[4, 2] Operation: 32/16=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 16:[16, 8], Operations: ['32-16=16', '32/4=8']
Exploring Operation: 16/8=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 16+8=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 16-8=8, Resulting Numbers: [8]
8,16 unequal: No Solution
No 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: 16:[4, 16], Operations: ['32-16=16', '32-16=16']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,16 unequal: No Solution
No 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: 16:[4, 2], Operations: ['32-16=16', '32/16=2']
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,16 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: 16:[4, 16], Operations: ['32-32=0', '16-0=16']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[4, 16], Operations: ['32-32=0', '16+0=16']
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Moving to Node #0,1,2
Current State: 16:[16, 4], Operations: ['32-32=0', '4+0=4']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,16 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
17,
28,
38,
27
] | 76 | [
"28-17=11",
"38+27=65",
"11+65=76"
] | Current State: 76:[17, 28, 38, 27], Operations: []
Exploring Operation: 28-17=11, Resulting Numbers: [38, 27, 11]
Generated Node #2: [38, 27, 11] from Operation: 28-17=11
Current State: 76:[38, 27, 11], Operations: ['28-17=11']
Exploring Operation: 38+27=65, Resulting Numbers: [11, 65]
Generated Node #3: [11, 65] from Operation: 38+27=65
Current State: 76:[11, 65], Operations: ['28-17=11', '38+27=65']
Exploring Operation: 11+65=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[17, 28, 38, 27], Operations: []
Exploring Operation: 17+27=44, Resulting Numbers: [28, 38, 44]
Generated Node #0,0: 76:[28, 38, 44] Operation: 17+27=44
Exploring Operation: 17+28=45, Resulting Numbers: [38, 27, 45]
Generated Node #0,1: 76:[38, 27, 45] Operation: 17+28=45
Exploring Operation: 28-17=11, Resulting Numbers: [38, 27, 11]
Generated Node #0,2: 76:[38, 27, 11] Operation: 28-17=11
Exploring Operation: 28-27=1, Resulting Numbers: [17, 38, 1]
Generated Node #0,3: 76:[17, 38, 1] Operation: 28-27=1
Start Sub Search at level 1: Moving to Node #0,3
Current State: 76:[17, 38, 1], Operations: ['28-27=1']
Exploring Operation: 17+1=18, Resulting Numbers: [38, 18]
Generated Node #0,3,0: 76:[38, 18] Operation: 17+1=18
Exploring Operation: 17*1=17, Resulting Numbers: [38, 17]
Generated Node #0,3,1: 76:[38, 17] Operation: 17*1=17
Exploring Operation: 17/1=17, Resulting Numbers: [38, 17]
Generated Node #0,3,2: 76:[38, 17] Operation: 17/1=17
Exploring Operation: 38*1=38, Resulting Numbers: [17, 38]
Generated Node #0,3,3: 76:[17, 38] Operation: 38*1=38
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 76:[38, 18], Operations: ['28-27=1', '17+1=18']
Exploring Operation: 38+18=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Exploring Operation: 38*18=684, Resulting Numbers: [684]
684,76 unequal: No Solution
No 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: 76:[38, 17], Operations: ['28-27=1', '17*1=17']
Exploring Operation: 38*17=646, Resulting Numbers: [646]
646,76 unequal: No Solution
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,76 unequal: No Solution
Exploring Operation: 38+17=55, Resulting Numbers: [55]
55,76 unequal: No Solution
No 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: 76:[38, 17], Operations: ['28-27=1', '17/1=17']
Exploring Operation: 38*17=646, Resulting Numbers: [646]
646,76 unequal: No Solution
Exploring Operation: 38+17=55, Resulting Numbers: [55]
55,76 unequal: No Solution
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,76 unequal: No Solution
No 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: 76:[17, 38], Operations: ['28-27=1', '38*1=38']
Exploring Operation: 17*38=646, Resulting Numbers: [646]
646,76 unequal: No Solution
Exploring Operation: 17+38=55, Resulting Numbers: [55]
55,76 unequal: No Solution
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,76 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: 76:[28, 38, 44], Operations: ['17+27=44']
Exploring Operation: 28+44=72, Resulting Numbers: [38, 72]
Generated Node #0,0,0: 76:[38, 72] Operation: 28+44=72
Exploring Operation: 44-28=16, Resulting Numbers: [38, 16]
Generated Node #0,0,1: 76:[38, 16] Operation: 44-28=16
Exploring Operation: 38-28=10, Resulting Numbers: [44, 10]
Generated Node #0,0,2: 76:[44, 10] Operation: 38-28=10
Exploring Operation: 44-38=6, Resulting Numbers: [28, 6]
Generated Node #0,0,3: 76:[28, 6] Operation: 44-38=6
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 76:[38, 16], Operations: ['17+27=44', '44-28=16']
Exploring Operation: 38*16=608, Resulting Numbers: [608]
608,76 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,76 unequal: No Solution
Exploring Operation: 38+16=54, Resulting Numbers: [54]
54,76 unequal: No Solution
No 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: 76:[38, 72], Operations: ['17+27=44', '28+44=72']
Exploring Operation: 72-38=34, Resulting Numbers: [34]
34,76 unequal: No Solution
Exploring Operation: 38*72=2736, Resulting Numbers: [2736]
2736,76 unequal: No Solution
Exploring Operation: 38+72=110, Resulting Numbers: [110]
110,76 unequal: No Solution
No 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: 76:[28, 6], Operations: ['17+27=44', '44-38=6']
Exploring Operation: 28+6=34, Resulting Numbers: [34]
34,76 unequal: No Solution
Exploring Operation: 28*6=168, Resulting Numbers: [168]
168,76 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,76 unequal: No Solution
No 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: 76:[44, 10], Operations: ['17+27=44', '38-28=10']
Exploring Operation: 44*10=440, Resulting Numbers: [440]
440,76 unequal: No Solution
Exploring Operation: 44-10=34, Resulting Numbers: [34]
34,76 unequal: No Solution
Exploring Operation: 44+10=54, Resulting Numbers: [54]
54,76 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: 76:[38, 27, 45], Operations: ['17+28=45']
Exploring Operation: 45-38=7, Resulting Numbers: [27, 7]
Generated Node #0,1,0: 76:[27, 7] Operation: 45-38=7
Exploring Operation: 27+45=72, Resulting Numbers: [38, 72]
Generated Node #0,1,1: 76:[38, 72] Operation: 27+45=72
Exploring Operation: 45-27=18, Resulting Numbers: [38, 18]
Generated Node #0,1,2: 76:[38, 18] Operation: 45-27=18
Exploring Operation: 38-27=11, Resulting Numbers: [45, 11]
Generated Node #0,1,3: 76:[45, 11] Operation: 38-27=11
Moving to Node #0,1,2
Current State: 76:[38, 18], Operations: ['17+28=45', '45-27=18']
Exploring Operation: 38*18=684, Resulting Numbers: [684]
684,76 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Exploring Operation: 38+18=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[38, 72], Operations: ['17+28=45', '27+45=72']
Exploring Operation: 72-38=34, Resulting Numbers: [34]
34,76 unequal: No Solution
Exploring Operation: 38+72=110, Resulting Numbers: [110]
110,76 unequal: No Solution
Exploring Operation: 38*72=2736, Resulting Numbers: [2736]
2736,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[27, 7], Operations: ['17+28=45', '45-38=7']
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,76 unequal: No Solution
Exploring Operation: 27*7=189, Resulting Numbers: [189]
189,76 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[45, 11], Operations: ['17+28=45', '38-27=11']
Exploring Operation: 45+11=56, Resulting Numbers: [56]
56,76 unequal: No Solution
Exploring Operation: 45*11=495, Resulting Numbers: [495]
495,76 unequal: No Solution
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[38, 27, 11], Operations: ['28-17=11']
Exploring Operation: 27+11=38, Resulting Numbers: [38, 38]
Generated Node #0,2,0: 76:[38, 38] Operation: 27+11=38
Exploring Operation: 38-27=11, Resulting Numbers: [11, 11]
Generated Node #0,2,1: 76:[11, 11] Operation: 38-27=11
Exploring Operation: 38-11=27, Resulting Numbers: [27, 27]
Generated Node #0,2,2: 76:[27, 27] Operation: 38-11=27
Exploring Operation: 27-11=16, Resulting Numbers: [38, 16]
Generated Node #0,2,3: 76:[38, 16] Operation: 27-11=16
Moving to Node #0,2,0
Current State: 76:[38, 38], Operations: ['28-17=11', '27+11=38']
Exploring Operation: 38+38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[17, 28, 38, 27], Operations: []
Exploring Operation: 28-17=11, Resulting Numbers: [38, 27, 11]
Generated Node #0,2: 76:[38, 27, 11] Operation: 28-17=11
Moving to Node #0,2
Current State: 76:[38, 27, 11], Operations: ['28-17=11']
Exploring Operation: 27+11=38, Resulting Numbers: [38, 38]
Generated Node #0,2,0: 76:[38, 38] Operation: 27+11=38
Moving to Node #0,2,0
Current State: 76:[38, 38], Operations: ['28-17=11', '27+11=38']
Exploring Operation: 38+38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.947049 | hs_4 | mult_heuristic |
[
29,
20,
25,
8
] | 47 | [
"29-20=9",
"8*9=72",
"72-25=47"
] | Current State: 47:[29, 20, 25, 8], Operations: []
Exploring Operation: 29-20=9, Resulting Numbers: [25, 8, 9]
Generated Node #2: [25, 8, 9] from Operation: 29-20=9
Current State: 47:[25, 8, 9], Operations: ['29-20=9']
Exploring Operation: 8*9=72, Resulting Numbers: [25, 72]
Generated Node #3: [25, 72] from Operation: 8*9=72
Current State: 47:[25, 72], Operations: ['29-20=9', '8*9=72']
Exploring Operation: 72-25=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[29, 20, 25, 8], Operations: []
Exploring Operation: 29+8=37, Resulting Numbers: [20, 25, 37]
Generated Node #0,0: 47:[20, 25, 37] Operation: 29+8=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[20, 25, 37], Operations: ['29+8=37']
Exploring Operation: 20+25=45, Resulting Numbers: [37, 45]
Generated Node #0,0,0: 47:[37, 45] Operation: 20+25=45
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[37, 45], Operations: ['29+8=37', '20+25=45']
Exploring Operation: 37+45=82, Resulting Numbers: [82]
82,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
77,
86,
33,
77
] | 54 | [
"77/77=1",
"86-33=53",
"1+53=54"
] | Current State: 54:[77, 86, 33, 77], Operations: []
Exploring Operation: 77/77=1, Resulting Numbers: [86, 33, 1]
Generated Node #2: [86, 33, 1] from Operation: 77/77=1
Current State: 54:[86, 33, 1], Operations: ['77/77=1']
Exploring Operation: 86-33=53, Resulting Numbers: [1, 53]
Generated Node #3: [1, 53] from Operation: 86-33=53
Current State: 54:[1, 53], Operations: ['77/77=1', '86-33=53']
Exploring Operation: 1+53=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[77, 86, 33, 77], Operations: []
Exploring Operation: 86-77=9, Resulting Numbers: [33, 77, 9]
Generated Node #0,0: 54:[33, 77, 9] Operation: 86-77=9
Moving to Node #0,0
Current State: 54:[33, 77, 9], Operations: ['86-77=9']
Exploring Operation: 77-33=44, Resulting Numbers: [9, 44]
Generated Node #0,0,0: 54:[9, 44] Operation: 77-33=44
Moving to Node #0,0,0
Current State: 54:[9, 44], Operations: ['86-77=9', '77-33=44']
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,54 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
5,
22,
17,
4
] | 25 | [
"17-5=12",
"12/4=3",
"22+3=25"
] | Current State: 25:[5, 22, 17, 4], Operations: []
Exploring Operation: 17-5=12, Resulting Numbers: [22, 4, 12]
Generated Node #2: [22, 4, 12] from Operation: 17-5=12
Current State: 25:[22, 4, 12], Operations: ['17-5=12']
Exploring Operation: 12/4=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 12/4=3
Current State: 25:[22, 3], Operations: ['17-5=12', '12/4=3']
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[5, 22, 17, 4], Operations: []
Exploring Operation: 5+17=22, Resulting Numbers: [22, 4, 22]
Generated Node #0,0: 25:[22, 4, 22] Operation: 5+17=22
Exploring Operation: 17+4=21, Resulting Numbers: [5, 22, 21]
Generated Node #0,1: 25:[5, 22, 21] Operation: 17+4=21
Exploring Operation: 22-17=5, Resulting Numbers: [5, 4, 5]
Generated Node #0,2: 25:[5, 4, 5] Operation: 22-17=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[5, 4, 5], Operations: ['22-17=5']
Exploring Operation: 5*5=25, Resulting Numbers: [4, 25]
Generated Node #0,2,0: 25:[4, 25] Operation: 5*5=25
Exploring Operation: 5+4=9, Resulting Numbers: [5, 9]
Generated Node #0,2,1: 25:[5, 9] Operation: 5+4=9
Exploring Operation: 5-4=1, Resulting Numbers: [5, 1]
Generated Node #0,2,2: 25:[5, 1] Operation: 5-4=1
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 25:[4, 25], Operations: ['22-17=5', '5*5=25']
Exploring Operation: 4+25=29, Resulting Numbers: [29]
29,25 unequal: No Solution
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,25 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,25 unequal: No Solution
No 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: 25:[5, 9], Operations: ['22-17=5', '5+4=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,25 unequal: No Solution
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,25 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,25 unequal: No Solution
No 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: 25:[5, 1], Operations: ['22-17=5', '5-4=1']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,25 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: 25:[22, 4, 22], Operations: ['5+17=22']
Exploring Operation: 22+4=26, Resulting Numbers: [22, 26]
Generated Node #0,0,0: 25:[22, 26] Operation: 22+4=26
Exploring Operation: 22/22=1, Resulting Numbers: [4, 1]
Generated Node #0,0,1: 25:[4, 1] Operation: 22/22=1
Exploring Operation: 4+22=26, Resulting Numbers: [22, 26]
Generated Node #0,0,2: 25:[22, 26] Operation: 4+22=26
Moving to Node #0,0,0
Current State: 25:[22, 26], Operations: ['5+17=22', '22+4=26']
Exploring Operation: 22*26=572, Resulting Numbers: [572]
572,25 unequal: No Solution
Exploring Operation: 22+26=48, Resulting Numbers: [48]
48,25 unequal: No Solution
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[22, 26], Operations: ['5+17=22', '4+22=26']
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Exploring Operation: 22+26=48, Resulting Numbers: [48]
48,25 unequal: No Solution
Exploring Operation: 22*26=572, Resulting Numbers: [572]
572,25 unequal: No Solution
Moving to Node #0,0,1
Current State: 25:[4, 1], Operations: ['5+17=22', '22/22=1']
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[5, 22, 21], Operations: ['17+4=21']
Exploring Operation: 22-21=1, Resulting Numbers: [5, 1]
Generated Node #0,1,0: 25:[5, 1] Operation: 22-21=1
Exploring Operation: 5+22=27, Resulting Numbers: [21, 27]
Generated Node #0,1,1: 25:[21, 27] Operation: 5+22=27
Exploring Operation: 5+21=26, Resulting Numbers: [22, 26]
Generated Node #0,1,2: 25:[22, 26] Operation: 5+21=26
Moving to Node #0,1,0
Current State: 25:[5, 1], Operations: ['17+4=21', '22-21=1']
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[22, 26], Operations: ['17+4=21', '5+21=26']
Exploring Operation: 22*26=572, Resulting Numbers: [572]
572,25 unequal: No Solution
Exploring Operation: 22+26=48, Resulting Numbers: [48]
48,25 unequal: No Solution
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[21, 27], Operations: ['17+4=21', '5+22=27']
Exploring Operation: 27-21=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 21+27=48, Resulting Numbers: [48]
48,25 unequal: No Solution
Exploring Operation: 21*27=567, Resulting Numbers: [567]
567,25 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 |
[
40,
92,
36,
52
] | 68 | [
"92-40=52",
"52-36=16",
"52+16=68"
] | Current State: 68:[40, 92, 36, 52], Operations: []
Exploring Operation: 92-40=52, Resulting Numbers: [36, 52, 52]
Generated Node #2: [36, 52, 52] from Operation: 92-40=52
Current State: 68:[36, 52, 52], Operations: ['92-40=52']
Exploring Operation: 52-36=16, Resulting Numbers: [16]
16,68 equal: Goal Reached
Exploring Operation: 52+16=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[40, 92, 36, 52], Operations: []
Exploring Operation: 52-36=16, Resulting Numbers: [40, 92, 16]
Generated Node #0,0: 68:[40, 92, 16] Operation: 52-36=16
Exploring Operation: 52-40=12, Resulting Numbers: [92, 36, 12]
Generated Node #0,1: 68:[92, 36, 12] Operation: 52-40=12
Exploring Operation: 92-52=40, Resulting Numbers: [40, 36, 40]
Generated Node #0,2: 68:[40, 36, 40] Operation: 92-52=40
Start Sub Search at level 1: Moving to Node #0,2
Current State: 68:[40, 36, 40], Operations: ['92-52=40']
Exploring Operation: 40-36=4, Resulting Numbers: [40, 4]
Generated Node #0,2,0: 68:[40, 4] Operation: 40-36=4
Exploring Operation: 40/40=1, Resulting Numbers: [36, 1]
Generated Node #0,2,1: 68:[36, 1] Operation: 40/40=1
Exploring Operation: 40-40=0, Resulting Numbers: [36, 0]
Generated Node #0,2,2: 68:[36, 0] Operation: 40-40=0
Moving to Node #0,2,1
Current State: 68:[36, 1], Operations: ['92-52=40', '40/40=1']
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,68 unequal: No Solution
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,68 unequal: No Solution
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,68 unequal: No Solution
Moving to Node #0,2,2
Current State: 68:[36, 0], Operations: ['92-52=40', '40-40=0']
Exploring Operation: 36*0=0, Resulting Numbers: [0]
0,68 unequal: No Solution
Exploring Operation: 36-0=36, Resulting Numbers: [36]
36,68 unequal: No Solution
Exploring Operation: 36+0=36, Resulting Numbers: [36]
36,68 unequal: No Solution
Moving to Node #0,2,0
Current State: 68:[40, 4], Operations: ['92-52=40', '40-36=4']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,68 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,68 unequal: No Solution
Exploring Operation: 40+4=44, Resulting Numbers: [44]
44,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[40, 92, 16], Operations: ['52-36=16']
Exploring Operation: 92-16=76, Resulting Numbers: [40, 76]
Generated Node #0,0,0: 68:[40, 76] Operation: 92-16=76
Exploring Operation: 92-40=52, Resulting Numbers: [16, 52]
Generated Node #0,0,1: 68:[16, 52] Operation: 92-40=52
Exploring Operation: 40-16=24, Resulting Numbers: [92, 24]
Generated Node #0,0,2: 68:[92, 24] Operation: 40-16=24
Moving to Node #0,0,0
Current State: 68:[40, 76], Operations: ['52-36=16', '92-16=76']
Exploring Operation: 40*76=3040, Resulting Numbers: [3040]
3040,68 unequal: No Solution
Exploring Operation: 40+76=116, Resulting Numbers: [116]
116,68 unequal: No Solution
Exploring Operation: 76-40=36, Resulting Numbers: [36]
36,68 unequal: No Solution
Moving to Node #0,0,1
Current State: 68:[16, 52], Operations: ['52-36=16', '92-40=52']
Exploring Operation: 52-16=36, Resulting Numbers: [36]
36,68 unequal: No Solution
Exploring Operation: 16*52=832, Resulting Numbers: [832]
832,68 unequal: No Solution
Exploring Operation: 16+52=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[40, 92, 36, 52], Operations: []
Exploring Operation: 52-36=16, Resulting Numbers: [40, 92, 16]
Generated Node #0,0: 68:[40, 92, 16] Operation: 52-36=16
Moving to Node #0,0
Current State: 68:[40, 92, 16], Operations: ['52-36=16']
Exploring Operation: 92-40=52, Resulting Numbers: [16, 52]
Generated Node #0,0,1: 68:[16, 52] Operation: 92-40=52
Moving to Node #0,0,1
Current State: 68:[16, 52], Operations: ['52-36=16', '92-40=52']
Exploring Operation: 16+52=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_3 | mult_heuristic |
[
88,
42,
7,
94
] | 84 | [
"94-88=6",
"7*6=42",
"42+42=84"
] | Current State: 84:[88, 42, 7, 94], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [42, 7, 6]
Generated Node #2: [42, 7, 6] from Operation: 94-88=6
Current State: 84:[42, 7, 6], Operations: ['94-88=6']
Exploring Operation: 7*6=42, Resulting Numbers: [42, 42]
Generated Node #3: [42, 42] from Operation: 7*6=42
Current State: 84:[42, 42], Operations: ['94-88=6', '7*6=42']
Exploring Operation: 42+42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[88, 42, 7, 94], Operations: []
Exploring Operation: 88-7=81, Resulting Numbers: [42, 94, 81]
Generated Node #0,0: 84:[42, 94, 81] Operation: 88-7=81
Exploring Operation: 42/7=6, Resulting Numbers: [88, 94, 6]
Generated Node #0,1: 84:[88, 94, 6] Operation: 42/7=6
Exploring Operation: 94-88=6, Resulting Numbers: [42, 7, 6]
Generated Node #0,2: 84:[42, 7, 6] Operation: 94-88=6
Exploring Operation: 94-7=87, Resulting Numbers: [88, 42, 87]
Generated Node #0,3: 84:[88, 42, 87] Operation: 94-7=87
Exploring Operation: 88-42=46, Resulting Numbers: [7, 94, 46]
Generated Node #0,4: 84:[7, 94, 46] Operation: 88-42=46
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[42, 7, 6], Operations: ['94-88=6']
Exploring Operation: 42/6=7, Resulting Numbers: [7, 7]
Generated Node #0,2,0: 84:[7, 7] Operation: 42/6=7
Exploring Operation: 7*6=42, Resulting Numbers: [42, 42]
Generated Node #0,2,1: 84:[42, 42] Operation: 7*6=42
Exploring Operation: 7+6=13, Resulting Numbers: [42, 13]
Generated Node #0,2,2: 84:[42, 13] Operation: 7+6=13
Exploring Operation: 42/7=6, Resulting Numbers: [6, 6]
Generated Node #0,2,3: 84:[6, 6] Operation: 42/7=6
Exploring Operation: 7-6=1, Resulting Numbers: [42, 1]
Generated Node #0,2,4: 84:[42, 1] Operation: 7-6=1
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 84:[7, 7], Operations: ['94-88=6', '42/6=7']
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,84 unequal: No Solution
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,84 unequal: No Solution
Exploring Operation: 7-7=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 7/7=1, Resulting Numbers: [1]
1,84 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 #0,2,1
Current State: 84:[42, 42], Operations: ['94-88=6', '7*6=42']
Exploring Operation: 42/42=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 42-42=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Exploring Operation: 42*42=1764, Resulting Numbers: [1764]
1764,84 unequal: No Solution
Exploring Operation: 42+42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[88, 42, 7, 94], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [42, 7, 6]
Generated Node #0,2: 84:[42, 7, 6] Operation: 94-88=6
Moving to Node #0,2
Current State: 84:[42, 7, 6], Operations: ['94-88=6']
Exploring Operation: 7*6=42, Resulting Numbers: [42, 42]
Generated Node #0,2,1: 84:[42, 42] Operation: 7*6=42
Moving to Node #0,2,1
Current State: 84:[42, 42], Operations: ['94-88=6', '7*6=42']
Exploring Operation: 42+42=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
32,
55,
77,
39
] | 66 | [
"39-32=7",
"77/7=11",
"55+11=66"
] | Current State: 66:[32, 55, 77, 39], Operations: []
Exploring Operation: 39-32=7, Resulting Numbers: [55, 77, 7]
Generated Node #2: [55, 77, 7] from Operation: 39-32=7
Current State: 66:[55, 77, 7], Operations: ['39-32=7']
Exploring Operation: 77/7=11, Resulting Numbers: [55, 11]
Generated Node #3: [55, 11] from Operation: 77/7=11
Current State: 66:[55, 11], Operations: ['39-32=7', '77/7=11']
Exploring Operation: 55+11=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[32, 55, 77, 39], Operations: []
Exploring Operation: 77-55=22, Resulting Numbers: [32, 39, 22]
Generated Node #0,0: 66:[32, 39, 22] Operation: 77-55=22
Moving to Node #0,0
Current State: 66:[32, 39, 22], Operations: ['77-55=22']
Exploring Operation: 39-32=7, Resulting Numbers: [22, 7]
Generated Node #0,0,0: 66:[22, 7] Operation: 39-32=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[22, 7], Operations: ['77-55=22', '39-32=7']
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,66 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 |
[
92,
55,
72,
4
] | 56 | [
"92+72=164",
"55*4=220",
"220-164=56"
] | Current State: 56:[92, 55, 72, 4], Operations: []
Exploring Operation: 92+72=164, Resulting Numbers: [55, 4, 164]
Generated Node #2: [55, 4, 164] from Operation: 92+72=164
Current State: 56:[55, 4, 164], Operations: ['92+72=164']
Exploring Operation: 55*4=220, Resulting Numbers: [164, 220]
Generated Node #3: [164, 220] from Operation: 55*4=220
Current State: 56:[164, 220], Operations: ['92+72=164', '55*4=220']
Exploring Operation: 220-164=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[92, 55, 72, 4], Operations: []
Exploring Operation: 92-72=20, Resulting Numbers: [55, 4, 20]
Generated Node #0,0: 56:[55, 4, 20] Operation: 92-72=20
Exploring Operation: 92/4=23, Resulting Numbers: [55, 72, 23]
Generated Node #0,1: 56:[55, 72, 23] Operation: 92/4=23
Exploring Operation: 92-55=37, Resulting Numbers: [72, 4, 37]
Generated Node #0,2: 56:[72, 4, 37] Operation: 92-55=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[55, 4, 20], Operations: ['92-72=20']
Exploring Operation: 20-4=16, Resulting Numbers: [55, 16]
Generated Node #0,0,0: 56:[55, 16] Operation: 20-4=16
Exploring Operation: 4+20=24, Resulting Numbers: [55, 24]
Generated Node #0,0,1: 56:[55, 24] Operation: 4+20=24
Exploring Operation: 20/4=5, Resulting Numbers: [55, 5]
Generated Node #0,0,2: 56:[55, 5] Operation: 20/4=5
Moving to Node #0,0,2
Current State: 56:[55, 5], Operations: ['92-72=20', '20/4=5']
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,56 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[55, 16], Operations: ['92-72=20', '20-4=16']
Exploring Operation: 55*16=880, Resulting Numbers: [880]
880,56 unequal: No Solution
Exploring Operation: 55-16=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 55+16=71, Resulting Numbers: [71]
71,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[55, 24], Operations: ['92-72=20', '4+20=24']
Exploring Operation: 55-24=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 55*24=1320, Resulting Numbers: [1320]
1320,56 unequal: No Solution
Exploring Operation: 55+24=79, Resulting Numbers: [79]
79,56 unequal: No Solution
No 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:[55, 72, 23], Operations: ['92/4=23']
Exploring Operation: 55-23=32, Resulting Numbers: [72, 32]
Generated Node #0,1,0: 56:[72, 32] Operation: 55-23=32
Exploring Operation: 72-55=17, Resulting Numbers: [23, 17]
Generated Node #0,1,1: 56:[23, 17] Operation: 72-55=17
Exploring Operation: 72-23=49, Resulting Numbers: [55, 49]
Generated Node #0,1,2: 56:[55, 49] Operation: 72-23=49
Moving to Node #0,1,1
Current State: 56:[23, 17], Operations: ['92/4=23', '72-55=17']
Exploring Operation: 23*17=391, Resulting Numbers: [391]
391,56 unequal: No Solution
Exploring Operation: 23+17=40, Resulting Numbers: [40]
40,56 unequal: No Solution
Exploring Operation: 23-17=6, Resulting Numbers: [6]
6,56 unequal: No Solution
Moving to Node #0,1,2
Current State: 56:[55, 49], Operations: ['92/4=23', '72-23=49']
Exploring Operation: 55*49=2695, Resulting Numbers: [2695]
2695,56 unequal: No Solution
Exploring Operation: 55+49=104, Resulting Numbers: [104]
104,56 unequal: No Solution
Exploring Operation: 55-49=6, Resulting Numbers: [6]
6,56 unequal: No Solution
Moving to Node #0,1,0
Current State: 56:[72, 32], Operations: ['92/4=23', '55-23=32']
Exploring Operation: 72*32=2304, Resulting Numbers: [2304]
2304,56 unequal: No Solution
Exploring Operation: 72-32=40, Resulting Numbers: [40]
40,56 unequal: No Solution
Exploring Operation: 72+32=104, Resulting Numbers: [104]
104,56 unequal: No Solution
No 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: 56:[72, 4, 37], Operations: ['92-55=37']
Exploring Operation: 72-4=68, Resulting Numbers: [37, 68]
Generated Node #0,2,0: 56:[37, 68] Operation: 72-4=68
Exploring Operation: 72/4=18, Resulting Numbers: [37, 18]
Generated Node #0,2,1: 56:[37, 18] Operation: 72/4=18
Exploring Operation: 72-37=35, Resulting Numbers: [4, 35]
Generated Node #0,2,2: 56:[4, 35] Operation: 72-37=35
Moving to Node #0,2,2
Current State: 56:[4, 35], Operations: ['92-55=37', '72-37=35']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,56 unequal: No Solution
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Moving to Node #0,2,1
Current State: 56:[37, 18], Operations: ['92-55=37', '72/4=18']
Exploring Operation: 37*18=666, Resulting Numbers: [666]
666,56 unequal: No Solution
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,56 unequal: No Solution
Exploring Operation: 37+18=55, Resulting Numbers: [55]
55,56 unequal: No Solution
Moving to Node #0,2,0
Current State: 56:[37, 68], Operations: ['92-55=37', '72-4=68']
Exploring Operation: 37*68=2516, Resulting Numbers: [2516]
2516,56 unequal: No Solution
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 37+68=105, Resulting Numbers: [105]
105,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
89,
15,
69,
20
] | 25 | [
"89-15=74",
"69-20=49",
"74-49=25"
] | Current State: 25:[89, 15, 69, 20], Operations: []
Exploring Operation: 89-15=74, Resulting Numbers: [69, 20, 74]
Generated Node #2: [69, 20, 74] from Operation: 89-15=74
Current State: 25:[69, 20, 74], Operations: ['89-15=74']
Exploring Operation: 69-20=49, Resulting Numbers: [74, 49]
Generated Node #3: [74, 49] from Operation: 69-20=49
Current State: 25:[74, 49], Operations: ['89-15=74', '69-20=49']
Exploring Operation: 74-49=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[89, 15, 69, 20], Operations: []
Exploring Operation: 89-69=20, Resulting Numbers: [15, 20, 20]
Generated Node #0,0: 25:[15, 20, 20] Operation: 89-69=20
Exploring Operation: 89-15=74, Resulting Numbers: [69, 20, 74]
Generated Node #0,1: 25:[69, 20, 74] Operation: 89-15=74
Moving to Node #0,0
Current State: 25:[15, 20, 20], Operations: ['89-69=20']
Exploring Operation: 20-15=5, Resulting Numbers: [20, 5]
Generated Node #0,0,0: 25:[20, 5] Operation: 20-15=5
Exploring Operation: 20-15=5, Resulting Numbers: [20, 5]
Generated Node #0,0,1: 25:[20, 5] Operation: 20-15=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 25:[20, 5], Operations: ['89-69=20', '20-15=5']
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[89, 15, 69, 20], Operations: []
Exploring Operation: 89-69=20, Resulting Numbers: [15, 20, 20]
Generated Node #0,0: 25:[15, 20, 20] Operation: 89-69=20
Moving to Node #0,0
Current State: 25:[15, 20, 20], Operations: ['89-69=20']
Exploring Operation: 20-15=5, Resulting Numbers: [20, 5]
Generated Node #0,0,0: 25:[20, 5] Operation: 20-15=5
Moving to Node #0,0,0
Current State: 25:[20, 5], Operations: ['89-69=20', '20-15=5']
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
52,
22,
6,
30
] | 38 | [
"52+22=74",
"6+30=36",
"74-36=38"
] | Current State: 38:[52, 22, 6, 30], Operations: []
Exploring Operation: 52+22=74, Resulting Numbers: [6, 30, 74]
Generated Node #2: [6, 30, 74] from Operation: 52+22=74
Current State: 38:[6, 30, 74], Operations: ['52+22=74']
Exploring Operation: 6+30=36, Resulting Numbers: [74, 36]
Generated Node #3: [74, 36] from Operation: 6+30=36
Current State: 38:[74, 36], Operations: ['52+22=74', '6+30=36']
Exploring Operation: 74-36=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[52, 22, 6, 30], Operations: []
Exploring Operation: 52-30=22, Resulting Numbers: [22, 6, 22]
Generated Node #0,0: 38:[22, 6, 22] Operation: 52-30=22
Moving to Node #0,0
Current State: 38:[22, 6, 22], Operations: ['52-30=22']
Exploring Operation: 22/22=1, Resulting Numbers: [6, 1]
Generated Node #0,0,0: 38:[6, 1] Operation: 22/22=1
Moving to Node #0,0,0
Current State: 38:[6, 1], Operations: ['52-30=22', '22/22=1']
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,38 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
75,
61,
18,
5
] | 27 | [
"75-61=14",
"18-5=13",
"14+13=27"
] | Current State: 27:[75, 61, 18, 5], Operations: []
Exploring Operation: 75-61=14, Resulting Numbers: [18, 5, 14]
Generated Node #2: [18, 5, 14] from Operation: 75-61=14
Current State: 27:[18, 5, 14], Operations: ['75-61=14']
Exploring Operation: 18-5=13, Resulting Numbers: [14, 13]
Generated Node #3: [14, 13] from Operation: 18-5=13
Current State: 27:[14, 13], Operations: ['75-61=14', '18-5=13']
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[75, 61, 18, 5], Operations: []
Exploring Operation: 75-61=14, Resulting Numbers: [18, 5, 14]
Generated Node #0,0: 27:[18, 5, 14] Operation: 75-61=14
Exploring Operation: 75/5=15, Resulting Numbers: [61, 18, 15]
Generated Node #0,1: 27:[61, 18, 15] Operation: 75/5=15
Exploring Operation: 75-18=57, Resulting Numbers: [61, 5, 57]
Generated Node #0,2: 27:[61, 5, 57] Operation: 75-18=57
Moving to Node #0,0
Current State: 27:[18, 5, 14], Operations: ['75-61=14']
Exploring Operation: 18+5=23, Resulting Numbers: [14, 23]
Generated Node #0,0,0: 27:[14, 23] Operation: 18+5=23
Exploring Operation: 18-14=4, Resulting Numbers: [5, 4]
Generated Node #0,0,1: 27:[5, 4] Operation: 18-14=4
Exploring Operation: 18+14=32, Resulting Numbers: [5, 32]
Generated Node #0,0,2: 27:[5, 32] Operation: 18+14=32
Moving to Node #0,1
Current State: 27:[61, 18, 15], Operations: ['75/5=15']
Exploring Operation: 18-15=3, Resulting Numbers: [61, 3]
Generated Node #0,1,0: 27:[61, 3] Operation: 18-15=3
Exploring Operation: 61-15=46, Resulting Numbers: [18, 46]
Generated Node #0,1,1: 27:[18, 46] Operation: 61-15=46
Exploring Operation: 61-18=43, Resulting Numbers: [15, 43]
Generated Node #0,1,2: 27:[15, 43] Operation: 61-18=43
Moving to Node #0,2
Current State: 27:[61, 5, 57], Operations: ['75-18=57']
Exploring Operation: 61-5=56, Resulting Numbers: [57, 56]
Generated Node #0,2,0: 27:[57, 56] Operation: 61-5=56
Exploring Operation: 57-5=52, Resulting Numbers: [61, 52]
Generated Node #0,2,1: 27:[61, 52] Operation: 57-5=52
Exploring Operation: 61-57=4, Resulting Numbers: [5, 4]
Generated Node #0,2,2: 27:[5, 4] Operation: 61-57=4
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 27:[5, 4], Operations: ['75-18=57', '61-57=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,27 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,27 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 27:[57, 56], Operations: ['75-18=57', '61-5=56']
Exploring Operation: 57*56=3192, Resulting Numbers: [3192]
3192,27 unequal: No Solution
Exploring Operation: 57-56=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 57+56=113, Resulting Numbers: [113]
113,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 27:[61, 52], Operations: ['75-18=57', '57-5=52']
Exploring Operation: 61*52=3172, Resulting Numbers: [3172]
3172,27 unequal: No Solution
Exploring Operation: 61-52=9, Resulting Numbers: [9]
9,27 unequal: No Solution
Exploring Operation: 61+52=113, Resulting Numbers: [113]
113,27 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: 27:[5, 4], Operations: ['75-61=14', '18-14=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,27 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,27 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,27 unequal: No Solution
Moving to Node #0,0,2
Current State: 27:[5, 32], Operations: ['75-61=14', '18+14=32']
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,27 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,27 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[75, 61, 18, 5], Operations: []
Exploring Operation: 75-61=14, Resulting Numbers: [18, 5, 14]
Generated Node #0,0: 27:[18, 5, 14] Operation: 75-61=14
Moving to Node #0,0
Current State: 27:[18, 5, 14], Operations: ['75-61=14']
Exploring Operation: 18+14=32, Resulting Numbers: [5, 32]
Generated Node #0,0,2: 27:[5, 32] Operation: 18+14=32
Moving to Node #0,0,2
Current State: 27:[5, 32], Operations: ['75-61=14', '18+14=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 0.97309 | hs_3 | mult_heuristic |
[
63,
3,
11,
75
] | 81 | [
"63+3=66",
"66/11=6",
"75+6=81"
] | Current State: 81:[63, 3, 11, 75], Operations: []
Exploring Operation: 63+3=66, Resulting Numbers: [11, 75, 66]
Generated Node #2: [11, 75, 66] from Operation: 63+3=66
Current State: 81:[11, 75, 66], Operations: ['63+3=66']
Exploring Operation: 66/11=6, Resulting Numbers: [75, 6]
Generated Node #3: [75, 6] from Operation: 66/11=6
Current State: 81:[75, 6], Operations: ['63+3=66', '66/11=6']
Exploring Operation: 75+6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[63, 3, 11, 75], Operations: []
Exploring Operation: 63/3=21, Resulting Numbers: [11, 75, 21]
Generated Node #0,0: 81:[11, 75, 21] Operation: 63/3=21
Exploring Operation: 63+11=74, Resulting Numbers: [3, 75, 74]
Generated Node #0,1: 81:[3, 75, 74] Operation: 63+11=74
Exploring Operation: 75-63=12, Resulting Numbers: [3, 11, 12]
Generated Node #0,2: 81:[3, 11, 12] Operation: 75-63=12
Start Sub Search at level 1: Moving to Node #0,2
Current State: 81:[3, 11, 12], Operations: ['75-63=12']
Exploring Operation: 12/3=4, Resulting Numbers: [11, 4]
Generated Node #0,2,0: 81:[11, 4] Operation: 12/3=4
Exploring Operation: 12-11=1, Resulting Numbers: [3, 1]
Generated Node #0,2,1: 81:[3, 1] Operation: 12-11=1
Exploring Operation: 12-3=9, Resulting Numbers: [11, 9]
Generated Node #0,2,2: 81:[11, 9] Operation: 12-3=9
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 81:[3, 1], Operations: ['75-63=12', '12-11=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,81 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,81 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,81 unequal: No Solution
No 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: 81:[11, 9], Operations: ['75-63=12', '12-3=9']
Exploring Operation: 11+9=20, Resulting Numbers: [20]
20,81 unequal: No Solution
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,81 unequal: No Solution
No 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: 81:[11, 4], Operations: ['75-63=12', '12/3=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,81 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[3, 75, 74], Operations: ['63+11=74']
Exploring Operation: 3+75=78, Resulting Numbers: [74, 78]
Generated Node #0,1,0: 81:[74, 78] Operation: 3+75=78
Exploring Operation: 75/3=25, Resulting Numbers: [74, 25]
Generated Node #0,1,1: 81:[74, 25] Operation: 75/3=25
Exploring Operation: 75-74=1, Resulting Numbers: [3, 1]
Generated Node #0,1,2: 81:[3, 1] Operation: 75-74=1
Moving to Node #0,1,2
Current State: 81:[3, 1], Operations: ['63+11=74', '75-74=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,81 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,81 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[74, 25], Operations: ['63+11=74', '75/3=25']
Exploring Operation: 74*25=1850, Resulting Numbers: [1850]
1850,81 unequal: No Solution
Exploring Operation: 74+25=99, Resulting Numbers: [99]
99,81 unequal: No Solution
Exploring Operation: 74-25=49, Resulting Numbers: [49]
49,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[74, 78], Operations: ['63+11=74', '3+75=78']
Exploring Operation: 74+78=152, Resulting Numbers: [152]
152,81 unequal: No Solution
Exploring Operation: 74*78=5772, Resulting Numbers: [5772]
5772,81 unequal: No Solution
Exploring Operation: 78-74=4, Resulting Numbers: [4]
4,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[11, 75, 21], Operations: ['63/3=21']
Exploring Operation: 21-11=10, Resulting Numbers: [75, 10]
Generated Node #0,0,0: 81:[75, 10] Operation: 21-11=10
Exploring Operation: 11+75=86, Resulting Numbers: [21, 86]
Generated Node #0,0,1: 81:[21, 86] Operation: 11+75=86
Exploring Operation: 11+21=32, Resulting Numbers: [75, 32]
Generated Node #0,0,2: 81:[75, 32] Operation: 11+21=32
Moving to Node #0,0,0
Current State: 81:[75, 10], Operations: ['63/3=21', '21-11=10']
Exploring Operation: 75*10=750, Resulting Numbers: [750]
750,81 unequal: No Solution
Exploring Operation: 75-10=65, Resulting Numbers: [65]
65,81 unequal: No Solution
Exploring Operation: 75+10=85, Resulting Numbers: [85]
85,81 unequal: No Solution
Moving to Node #0,0,1
Current State: 81:[21, 86], Operations: ['63/3=21', '11+75=86']
Exploring Operation: 21*86=1806, Resulting Numbers: [1806]
1806,81 unequal: No Solution
Exploring Operation: 21+86=107, Resulting Numbers: [107]
107,81 unequal: No Solution
Exploring Operation: 86-21=65, Resulting Numbers: [65]
65,81 unequal: No Solution
Moving to Node #0,0,2
Current State: 81:[75, 32], Operations: ['63/3=21', '11+21=32']
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,81 unequal: No Solution
Exploring Operation: 75*32=2400, Resulting Numbers: [2400]
2400,81 unequal: No Solution
Exploring Operation: 75+32=107, Resulting Numbers: [107]
107,81 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 |
[
38,
96,
59,
22
] | 96 | [
"59-38=21",
"22-21=1",
"96*1=96"
] | Current State: 96:[38, 96, 59, 22], Operations: []
Exploring Operation: 59-38=21, Resulting Numbers: [96, 22, 21]
Generated Node #2: [96, 22, 21] from Operation: 59-38=21
Current State: 96:[96, 22, 21], Operations: ['59-38=21']
Exploring Operation: 22-21=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 22-21=1
Current State: 96:[96, 1], Operations: ['59-38=21', '22-21=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[38, 96, 59, 22], Operations: []
Exploring Operation: 59-38=21, Resulting Numbers: [96, 22, 21]
Generated Node #0,0: 96:[96, 22, 21] Operation: 59-38=21
Exploring Operation: 38-22=16, Resulting Numbers: [96, 59, 16]
Generated Node #0,1: 96:[96, 59, 16] Operation: 38-22=16
Exploring Operation: 96-59=37, Resulting Numbers: [38, 22, 37]
Generated Node #0,2: 96:[38, 22, 37] Operation: 96-59=37
Exploring Operation: 59-22=37, Resulting Numbers: [38, 96, 37]
Generated Node #0,3: 96:[38, 96, 37] Operation: 59-22=37
Exploring Operation: 38+59=97, Resulting Numbers: [96, 22, 97]
Generated Node #0,4: 96:[96, 22, 97] Operation: 38+59=97
Start Sub Search at level 1: Moving to Node #0,4
Current State: 96:[96, 22, 97], Operations: ['38+59=97']
Exploring Operation: 96+22=118, Resulting Numbers: [97, 118]
Generated Node #0,4,0: 96:[97, 118] Operation: 96+22=118
Exploring Operation: 97-22=75, Resulting Numbers: [96, 75]
Generated Node #0,4,1: 96:[96, 75] Operation: 97-22=75
Exploring Operation: 96-22=74, Resulting Numbers: [97, 74]
Generated Node #0,4,2: 96:[97, 74] Operation: 96-22=74
Exploring Operation: 97-96=1, Resulting Numbers: [22, 1]
Generated Node #0,4,3: 96:[22, 1] Operation: 97-96=1
Exploring Operation: 22+97=119, Resulting Numbers: [96, 119]
Generated Node #0,4,4: 96:[96, 119] Operation: 22+97=119
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 96:[22, 1], Operations: ['38+59=97', '97-96=1']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,96 unequal: No Solution
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,96 unequal: No Solution
Exploring Operation: 22+1=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 96:[96, 75], Operations: ['38+59=97', '97-22=75']
Exploring Operation: 96*75=7200, Resulting Numbers: [7200]
7200,96 unequal: No Solution
Exploring Operation: 96-75=21, Resulting Numbers: [21]
21,96 unequal: No Solution
Exploring Operation: 96+75=171, Resulting Numbers: [171]
171,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 96:[97, 118], Operations: ['38+59=97', '96+22=118']
Exploring Operation: 97*118=11446, Resulting Numbers: [11446]
11446,96 unequal: No Solution
Exploring Operation: 118-97=21, Resulting Numbers: [21]
21,96 unequal: No Solution
Exploring Operation: 97+118=215, Resulting Numbers: [215]
215,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 96:[97, 74], Operations: ['38+59=97', '96-22=74']
Exploring Operation: 97*74=7178, Resulting Numbers: [7178]
7178,96 unequal: No Solution
Exploring Operation: 97-74=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 97+74=171, Resulting Numbers: [171]
171,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 96:[96, 119], Operations: ['38+59=97', '22+97=119']
Exploring Operation: 119-96=23, Resulting Numbers: [23]
23,96 unequal: No Solution
Exploring Operation: 96+119=215, Resulting Numbers: [215]
215,96 unequal: No Solution
Exploring Operation: 96*119=11424, Resulting Numbers: [11424]
11424,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[96, 22, 21], Operations: ['59-38=21']
Exploring Operation: 96-21=75, Resulting Numbers: [22, 75]
Generated Node #0,0,0: 96:[22, 75] Operation: 96-21=75
Exploring Operation: 96+22=118, Resulting Numbers: [21, 118]
Generated Node #0,0,1: 96:[21, 118] Operation: 96+22=118
Exploring Operation: 22+21=43, Resulting Numbers: [96, 43]
Generated Node #0,0,2: 96:[96, 43] Operation: 22+21=43
Exploring Operation: 22-21=1, Resulting Numbers: [96, 1]
Generated Node #0,0,3: 96:[96, 1] Operation: 22-21=1
Exploring Operation: 96+21=117, Resulting Numbers: [22, 117]
Generated Node #0,0,4: 96:[22, 117] Operation: 96+21=117
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 96:[96, 1], Operations: ['59-38=21', '22-21=1']
Exploring Operation: 96/1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[38, 96, 59, 22], Operations: []
Exploring Operation: 59-38=21, Resulting Numbers: [96, 22, 21]
Generated Node #0,0: 96:[96, 22, 21] Operation: 59-38=21
Moving to Node #0,0
Current State: 96:[96, 22, 21], Operations: ['59-38=21']
Exploring Operation: 22-21=1, Resulting Numbers: [96, 1]
Generated Node #0,0,3: 96:[96, 1] Operation: 22-21=1
Moving to Node #0,0,3
Current State: 96:[96, 1], Operations: ['59-38=21', '22-21=1']
Exploring Operation: 96/1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
85,
30,
53,
86
] | 23 | [
"86-85=1",
"53-30=23",
"1*23=23"
] | Current State: 23:[85, 30, 53, 86], Operations: []
Exploring Operation: 86-85=1, Resulting Numbers: [30, 53, 1]
Generated Node #2: [30, 53, 1] from Operation: 86-85=1
Current State: 23:[30, 53, 1], Operations: ['86-85=1']
Exploring Operation: 53-30=23, Resulting Numbers: [1, 23]
Generated Node #3: [1, 23] from Operation: 53-30=23
Current State: 23:[1, 23], Operations: ['86-85=1', '53-30=23']
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[85, 30, 53, 86], Operations: []
Exploring Operation: 86-85=1, Resulting Numbers: [30, 53, 1]
Generated Node #0,0: 23:[30, 53, 1] Operation: 86-85=1
Moving to Node #0,0
Current State: 23:[30, 53, 1], Operations: ['86-85=1']
Exploring Operation: 53-30=23, Resulting Numbers: [1, 23]
Generated Node #0,0,0: 23:[1, 23] Operation: 53-30=23
Moving to Node #0,0,0
Current State: 23:[1, 23], Operations: ['86-85=1', '53-30=23']
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[85, 30, 53, 86], Operations: []
Exploring Operation: 86-85=1, Resulting Numbers: [30, 53, 1]
Generated Node #0,0: 23:[30, 53, 1] Operation: 86-85=1
Moving to Node #0,0
Current State: 23:[30, 53, 1], Operations: ['86-85=1']
Exploring Operation: 53-30=23, Resulting Numbers: [1, 23]
Generated Node #0,0,0: 23:[1, 23] Operation: 53-30=23
Moving to Node #0,0,0
Current State: 23:[1, 23], Operations: ['86-85=1', '53-30=23']
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
8,
75,
92,
23
] | 43 | [
"8*92=736",
"736/23=32",
"75-32=43"
] | Current State: 43:[8, 75, 92, 23], Operations: []
Exploring Operation: 8*92=736, Resulting Numbers: [75, 23, 736]
Generated Node #2: [75, 23, 736] from Operation: 8*92=736
Current State: 43:[75, 23, 736], Operations: ['8*92=736']
Exploring Operation: 736/23=32, Resulting Numbers: [75, 32]
Generated Node #3: [75, 32] from Operation: 736/23=32
Current State: 43:[75, 32], Operations: ['8*92=736', '736/23=32']
Exploring Operation: 75-32=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[8, 75, 92, 23], Operations: []
Exploring Operation: 75-8=67, Resulting Numbers: [92, 23, 67]
Generated Node #0,0: 43:[92, 23, 67] Operation: 75-8=67
Exploring Operation: 92-75=17, Resulting Numbers: [8, 23, 17]
Generated Node #0,1: 43:[8, 23, 17] Operation: 92-75=17
Moving to Node #0,1
Current State: 43:[8, 23, 17], Operations: ['92-75=17']
Exploring Operation: 8+17=25, Resulting Numbers: [23, 25]
Generated Node #0,1,0: 43:[23, 25] Operation: 8+17=25
Exploring Operation: 8+23=31, Resulting Numbers: [17, 31]
Generated Node #0,1,1: 43:[17, 31] Operation: 8+23=31
Moving to Node #0,0
Current State: 43:[92, 23, 67], Operations: ['75-8=67']
Exploring Operation: 92-23=69, Resulting Numbers: [67, 69]
Generated Node #0,0,0: 43:[67, 69] Operation: 92-23=69
Exploring Operation: 92-67=25, Resulting Numbers: [23, 25]
Generated Node #0,0,1: 43:[23, 25] Operation: 92-67=25
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 43:[23, 25], Operations: ['75-8=67', '92-67=25']
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,43 unequal: No Solution
Exploring Operation: 23+25=48, Resulting Numbers: [48]
48,43 unequal: No Solution
No 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: 43:[67, 69], Operations: ['75-8=67', '92-23=69']
Exploring Operation: 67+69=136, Resulting Numbers: [136]
136,43 unequal: No Solution
Exploring Operation: 69-67=2, Resulting Numbers: [2]
2,43 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: 43:[23, 25], Operations: ['92-75=17', '8+17=25']
Exploring Operation: 23+25=48, Resulting Numbers: [48]
48,43 unequal: No Solution
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[17, 31], Operations: ['92-75=17', '8+23=31']
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,43 unequal: No Solution
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,43 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
63,
27,
4,
73
] | 82 | [
"63-27=36",
"36/4=9",
"73+9=82"
] | Current State: 82:[63, 27, 4, 73], Operations: []
Exploring Operation: 63-27=36, Resulting Numbers: [4, 73, 36]
Generated Node #2: [4, 73, 36] from Operation: 63-27=36
Current State: 82:[4, 73, 36], Operations: ['63-27=36']
Exploring Operation: 36/4=9, Resulting Numbers: [73, 9]
Generated Node #3: [73, 9] from Operation: 36/4=9
Current State: 82:[73, 9], Operations: ['63-27=36', '36/4=9']
Exploring Operation: 73+9=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[63, 27, 4, 73], Operations: []
Exploring Operation: 63-27=36, Resulting Numbers: [4, 73, 36]
Generated Node #0,0: 82:[4, 73, 36] Operation: 63-27=36
Exploring Operation: 73-63=10, Resulting Numbers: [27, 4, 10]
Generated Node #0,1: 82:[27, 4, 10] Operation: 73-63=10
Exploring Operation: 63+27=90, Resulting Numbers: [4, 73, 90]
Generated Node #0,2: 82:[4, 73, 90] Operation: 63+27=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[4, 73, 36], Operations: ['63-27=36']
Exploring Operation: 4+73=77, Resulting Numbers: [36, 77]
Generated Node #0,0,0: 82:[36, 77] Operation: 4+73=77
Exploring Operation: 4+36=40, Resulting Numbers: [73, 40]
Generated Node #0,0,1: 82:[73, 40] Operation: 4+36=40
Exploring Operation: 73-36=37, Resulting Numbers: [4, 37]
Generated Node #0,0,2: 82:[4, 37] Operation: 73-36=37
Moving to Node #0,0,2
Current State: 82:[4, 37], Operations: ['63-27=36', '73-36=37']
Exploring Operation: 4*37=148, Resulting Numbers: [148]
148,82 unequal: No Solution
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,82 unequal: No Solution
Exploring Operation: 4+37=41, Resulting Numbers: [41]
41,82 unequal: No Solution
Moving to Node #0,0,0
Current State: 82:[36, 77], Operations: ['63-27=36', '4+73=77']
Exploring Operation: 36+77=113, Resulting Numbers: [113]
113,82 unequal: No Solution
Exploring Operation: 36*77=2772, Resulting Numbers: [2772]
2772,82 unequal: No Solution
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,82 unequal: No Solution
Moving to Node #0,0,1
Current State: 82:[73, 40], Operations: ['63-27=36', '4+36=40']
Exploring Operation: 73+40=113, Resulting Numbers: [113]
113,82 unequal: No Solution
Exploring Operation: 73-40=33, Resulting Numbers: [33]
33,82 unequal: No Solution
Exploring Operation: 73*40=2920, Resulting Numbers: [2920]
2920,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[4, 73, 90], Operations: ['63+27=90']
Exploring Operation: 90-73=17, Resulting Numbers: [4, 17]
Generated Node #0,2,0: 82:[4, 17] Operation: 90-73=17
Exploring Operation: 4+73=77, Resulting Numbers: [90, 77]
Generated Node #0,2,1: 82:[90, 77] Operation: 4+73=77
Exploring Operation: 90-4=86, Resulting Numbers: [73, 86]
Generated Node #0,2,2: 82:[73, 86] Operation: 90-4=86
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 82:[90, 77], Operations: ['63+27=90', '4+73=77']
Exploring Operation: 90*77=6930, Resulting Numbers: [6930]
6930,82 unequal: No Solution
Exploring Operation: 90+77=167, Resulting Numbers: [167]
167,82 unequal: No Solution
Exploring Operation: 90-77=13, Resulting Numbers: [13]
13,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 82:[73, 86], Operations: ['63+27=90', '90-4=86']
Exploring Operation: 73*86=6278, Resulting Numbers: [6278]
6278,82 unequal: No Solution
Exploring Operation: 73+86=159, Resulting Numbers: [159]
159,82 unequal: No Solution
Exploring Operation: 86-73=13, Resulting Numbers: [13]
13,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 82:[4, 17], Operations: ['63+27=90', '90-73=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,82 unequal: No Solution
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,82 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[27, 4, 10], Operations: ['73-63=10']
Exploring Operation: 27-10=17, Resulting Numbers: [4, 17]
Generated Node #0,1,0: 82:[4, 17] Operation: 27-10=17
Exploring Operation: 4*10=40, Resulting Numbers: [27, 40]
Generated Node #0,1,1: 82:[27, 40] Operation: 4*10=40
Exploring Operation: 27+10=37, Resulting Numbers: [4, 37]
Generated Node #0,1,2: 82:[4, 37] Operation: 27+10=37
Moving to Node #0,1,2
Current State: 82:[4, 37], Operations: ['73-63=10', '27+10=37']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,82 unequal: No Solution
Exploring Operation: 4*37=148, Resulting Numbers: [148]
148,82 unequal: No Solution
Exploring Operation: 4+37=41, Resulting Numbers: [41]
41,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[27, 40], Operations: ['73-63=10', '4*10=40']
Exploring Operation: 27+40=67, Resulting Numbers: [67]
67,82 unequal: No Solution
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,82 unequal: No Solution
Exploring Operation: 27*40=1080, Resulting Numbers: [1080]
1080,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[4, 17], Operations: ['73-63=10', '27-10=17']
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,82 unequal: No Solution
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,82 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,82 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 |
[
15,
70,
90,
34
] | 98 | [
"90/15=6",
"70+34=104",
"104-6=98"
] | Current State: 98:[15, 70, 90, 34], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [70, 34, 6]
Generated Node #2: [70, 34, 6] from Operation: 90/15=6
Current State: 98:[70, 34, 6], Operations: ['90/15=6']
Exploring Operation: 70+34=104, Resulting Numbers: [6, 104]
Generated Node #3: [6, 104] from Operation: 70+34=104
Current State: 98:[6, 104], Operations: ['90/15=6', '70+34=104']
Exploring Operation: 104-6=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[15, 70, 90, 34], Operations: []
Exploring Operation: 70-34=36, Resulting Numbers: [15, 90, 36]
Generated Node #0,0: 98:[15, 90, 36] Operation: 70-34=36
Exploring Operation: 70-15=55, Resulting Numbers: [90, 34, 55]
Generated Node #0,1: 98:[90, 34, 55] Operation: 70-15=55
Exploring Operation: 90-70=20, Resulting Numbers: [15, 34, 20]
Generated Node #0,2: 98:[15, 34, 20] Operation: 90-70=20
Exploring Operation: 70+34=104, Resulting Numbers: [15, 90, 104]
Generated Node #0,3: 98:[15, 90, 104] Operation: 70+34=104
Moving to Node #0,3
Current State: 98:[15, 90, 104], Operations: ['70+34=104']
Exploring Operation: 90/15=6, Resulting Numbers: [104, 6]
Generated Node #0,3,0: 98:[104, 6] Operation: 90/15=6
Exploring Operation: 104-15=89, Resulting Numbers: [90, 89]
Generated Node #0,3,1: 98:[90, 89] Operation: 104-15=89
Exploring Operation: 15+90=105, Resulting Numbers: [104, 105]
Generated Node #0,3,2: 98:[104, 105] Operation: 15+90=105
Exploring Operation: 104-90=14, Resulting Numbers: [15, 14]
Generated Node #0,3,3: 98:[15, 14] Operation: 104-90=14
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 98:[15, 14], Operations: ['70+34=104', '104-90=14']
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 15*14=210, Resulting Numbers: [210]
210,98 unequal: No Solution
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 98:[104, 6], Operations: ['70+34=104', '90/15=6']
Exploring Operation: 104+6=110, Resulting Numbers: [110]
110,98 unequal: No Solution
Exploring Operation: 104-6=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[15, 70, 90, 34], Operations: []
Exploring Operation: 70+34=104, Resulting Numbers: [15, 90, 104]
Generated Node #0,3: 98:[15, 90, 104] Operation: 70+34=104
Moving to Node #0,3
Current State: 98:[15, 90, 104], Operations: ['70+34=104']
Exploring Operation: 90/15=6, Resulting Numbers: [104, 6]
Generated Node #0,3,0: 98:[104, 6] Operation: 90/15=6
Moving to Node #0,3,0
Current State: 98:[104, 6], Operations: ['70+34=104', '90/15=6']
Exploring Operation: 104-6=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
57,
88,
76,
92
] | 38 | [
"92-88=4",
"76/4=19",
"57-19=38"
] | Current State: 38:[57, 88, 76, 92], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [57, 76, 4]
Generated Node #2: [57, 76, 4] from Operation: 92-88=4
Current State: 38:[57, 76, 4], Operations: ['92-88=4']
Exploring Operation: 76/4=19, Resulting Numbers: [57, 19]
Generated Node #3: [57, 19] from Operation: 76/4=19
Current State: 38:[57, 19], Operations: ['92-88=4', '76/4=19']
Exploring Operation: 57-19=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[57, 88, 76, 92], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [57, 76, 4]
Generated Node #0,0: 38:[57, 76, 4] Operation: 92-88=4
Exploring Operation: 92-57=35, Resulting Numbers: [88, 76, 35]
Generated Node #0,1: 38:[88, 76, 35] Operation: 92-57=35
Exploring Operation: 88-76=12, Resulting Numbers: [57, 92, 12]
Generated Node #0,2: 38:[57, 92, 12] Operation: 88-76=12
Exploring Operation: 92-76=16, Resulting Numbers: [57, 88, 16]
Generated Node #0,3: 38:[57, 88, 16] Operation: 92-76=16
Exploring Operation: 88-57=31, Resulting Numbers: [76, 92, 31]
Generated Node #0,4: 38:[76, 92, 31] Operation: 88-57=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[57, 76, 4], Operations: ['92-88=4']
Exploring Operation: 57-4=53, Resulting Numbers: [76, 53]
Generated Node #0,0,0: 38:[76, 53] Operation: 57-4=53
Exploring Operation: 57+4=61, Resulting Numbers: [76, 61]
Generated Node #0,0,1: 38:[76, 61] Operation: 57+4=61
Exploring Operation: 76-4=72, Resulting Numbers: [57, 72]
Generated Node #0,0,2: 38:[57, 72] Operation: 76-4=72
Exploring Operation: 76/4=19, Resulting Numbers: [57, 19]
Generated Node #0,0,3: 38:[57, 19] Operation: 76/4=19
Exploring Operation: 76-57=19, Resulting Numbers: [4, 19]
Generated Node #0,0,4: 38:[4, 19] Operation: 76-57=19
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 38:[4, 19], Operations: ['92-88=4', '76-57=19']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,38 unequal: No Solution
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,38 unequal: No Solution
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 38:[57, 19], Operations: ['92-88=4', '76/4=19']
Exploring Operation: 57/19=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 57*19=1083, Resulting Numbers: [1083]
1083,38 unequal: No Solution
Exploring Operation: 57-19=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[57, 88, 76, 92], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [57, 76, 4]
Generated Node #0,0: 38:[57, 76, 4] Operation: 92-88=4
Moving to Node #0,0
Current State: 38:[57, 76, 4], Operations: ['92-88=4']
Exploring Operation: 76/4=19, Resulting Numbers: [57, 19]
Generated Node #0,0,3: 38:[57, 19] Operation: 76/4=19
Moving to Node #0,0,3
Current State: 38:[57, 19], Operations: ['92-88=4', '76/4=19']
Exploring Operation: 57-19=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
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