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 |
|---|---|---|---|---|---|---|---|---|
[
10,
34,
4,
62
] | 12 | [
"10*4=40",
"62-34=28",
"40-28=12"
] | Current State: 12:[10, 34, 4, 62], Operations: []
Exploring Operation: 10*4=40, Resulting Numbers: [34, 62, 40]
Generated Node #2: [34, 62, 40] from Operation: 10*4=40
Current State: 12:[34, 62, 40], Operations: ['10*4=40']
Exploring Operation: 62-34=28, Resulting Numbers: [40, 28]
Generated Node #3: [40, 28] from Operation: 62-34=28
Current State: 12:[40, 28], Operations: ['10*4=40', '62-34=28']
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[10, 34, 4, 62], Operations: []
Exploring Operation: 34-4=30, Resulting Numbers: [10, 62, 30]
Generated Node #0,0: 12:[10, 62, 30] Operation: 34-4=30
Exploring Operation: 34-10=24, Resulting Numbers: [4, 62, 24]
Generated Node #0,1: 12:[4, 62, 24] Operation: 34-10=24
Exploring Operation: 62-34=28, Resulting Numbers: [10, 4, 28]
Generated Node #0,2: 12:[10, 4, 28] Operation: 62-34=28
Exploring Operation: 62-10=52, Resulting Numbers: [34, 4, 52]
Generated Node #0,3: 12:[34, 4, 52] Operation: 62-10=52
Moving to Node #0,2
Current State: 12:[10, 4, 28], Operations: ['62-34=28']
Exploring Operation: 28/4=7, Resulting Numbers: [10, 7]
Generated Node #0,2,0: 12:[10, 7] Operation: 28/4=7
Exploring Operation: 28-4=24, Resulting Numbers: [10, 24]
Generated Node #0,2,1: 12:[10, 24] Operation: 28-4=24
Exploring Operation: 28-10=18, Resulting Numbers: [4, 18]
Generated Node #0,2,2: 12:[4, 18] Operation: 28-10=18
Exploring Operation: 10-4=6, Resulting Numbers: [28, 6]
Generated Node #0,2,3: 12:[28, 6] Operation: 10-4=6
Moving to Node #0,3
Current State: 12:[34, 4, 52], Operations: ['62-10=52']
Exploring Operation: 52-4=48, Resulting Numbers: [34, 48]
Generated Node #0,3,0: 12:[34, 48] Operation: 52-4=48
Exploring Operation: 52/4=13, Resulting Numbers: [34, 13]
Generated Node #0,3,1: 12:[34, 13] Operation: 52/4=13
Exploring Operation: 34-4=30, Resulting Numbers: [52, 30]
Generated Node #0,3,2: 12:[52, 30] Operation: 34-4=30
Exploring Operation: 52-34=18, Resulting Numbers: [4, 18]
Generated Node #0,3,3: 12:[4, 18] Operation: 52-34=18
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 12:[4, 18], Operations: ['62-10=52', '52-34=18']
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,12 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,12 unequal: No Solution
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 12:[34, 13], Operations: ['62-10=52', '52/4=13']
Exploring Operation: 34*13=442, Resulting Numbers: [442]
442,12 unequal: No Solution
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Exploring Operation: 34+13=47, Resulting Numbers: [47]
47,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 12:[34, 48], Operations: ['62-10=52', '52-4=48']
Exploring Operation: 34*48=1632, Resulting Numbers: [1632]
1632,12 unequal: No Solution
Exploring Operation: 48-34=14, Resulting Numbers: [14]
14,12 unequal: No Solution
Exploring Operation: 34+48=82, Resulting Numbers: [82]
82,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 12:[52, 30], Operations: ['62-10=52', '34-4=30']
Exploring Operation: 52*30=1560, Resulting Numbers: [1560]
1560,12 unequal: No Solution
Exploring Operation: 52+30=82, Resulting Numbers: [82]
82,12 unequal: No Solution
Exploring Operation: 52-30=22, Resulting Numbers: [22]
22,12 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: 12:[4, 62, 24], Operations: ['34-10=24']
Exploring Operation: 24/4=6, Resulting Numbers: [62, 6]
Generated Node #0,1,0: 12:[62, 6] Operation: 24/4=6
Exploring Operation: 62-4=58, Resulting Numbers: [24, 58]
Generated Node #0,1,1: 12:[24, 58] Operation: 62-4=58
Exploring Operation: 62-24=38, Resulting Numbers: [4, 38]
Generated Node #0,1,2: 12:[4, 38] Operation: 62-24=38
Exploring Operation: 24-4=20, Resulting Numbers: [62, 20]
Generated Node #0,1,3: 12:[62, 20] Operation: 24-4=20
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 12:[4, 38], Operations: ['34-10=24', '62-24=38']
Exploring Operation: 4*38=152, Resulting Numbers: [152]
152,12 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,12 unequal: No Solution
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 12:[62, 6], Operations: ['34-10=24', '24/4=6']
Exploring Operation: 62*6=372, Resulting Numbers: [372]
372,12 unequal: No Solution
Exploring Operation: 62+6=68, Resulting Numbers: [68]
68,12 unequal: No Solution
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 12:[24, 58], Operations: ['34-10=24', '62-4=58']
Exploring Operation: 24*58=1392, Resulting Numbers: [1392]
1392,12 unequal: No Solution
Exploring Operation: 24+58=82, Resulting Numbers: [82]
82,12 unequal: No Solution
Exploring Operation: 58-24=34, Resulting Numbers: [34]
34,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 12:[62, 20], Operations: ['34-10=24', '24-4=20']
Exploring Operation: 62+20=82, Resulting Numbers: [82]
82,12 unequal: No Solution
Exploring Operation: 62-20=42, Resulting Numbers: [42]
42,12 unequal: No Solution
Exploring Operation: 62*20=1240, Resulting Numbers: [1240]
1240,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 12:[10, 62, 30], Operations: ['34-4=30']
Exploring Operation: 62-30=32, Resulting Numbers: [10, 32]
Generated Node #0,0,0: 12:[10, 32] Operation: 62-30=32
Exploring Operation: 30/10=3, Resulting Numbers: [62, 3]
Generated Node #0,0,1: 12:[62, 3] Operation: 30/10=3
Exploring Operation: 30-10=20, Resulting Numbers: [62, 20]
Generated Node #0,0,2: 12:[62, 20] Operation: 30-10=20
Exploring Operation: 62-10=52, Resulting Numbers: [30, 52]
Generated Node #0,0,3: 12:[30, 52] Operation: 62-10=52
Moving to Node #0,2,0
Current State: 12:[10, 7], Operations: ['62-34=28', '28/4=7']
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,12 unequal: No Solution
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,12 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Moving to Node #0,2,2
Current State: 12:[4, 18], Operations: ['62-34=28', '28-10=18']
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,12 unequal: No Solution
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,12 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,12 unequal: No Solution
Moving to Node #0,2,1
Current State: 12:[10, 24], Operations: ['62-34=28', '28-4=24']
Exploring Operation: 10+24=34, Resulting Numbers: [34]
34,12 unequal: No Solution
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,12 unequal: No Solution
Exploring Operation: 10*24=240, Resulting Numbers: [240]
240,12 unequal: No Solution
Moving to Node #0,2,3
Current State: 12:[28, 6], Operations: ['62-34=28', '10-4=6']
Exploring Operation: 28+6=34, Resulting Numbers: [34]
34,12 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,12 unequal: No Solution
Exploring Operation: 28*6=168, Resulting Numbers: [168]
168,12 unequal: No Solution
Moving to Node #0,0,0
Current State: 12:[10, 32], Operations: ['34-4=30', '62-30=32']
Exploring Operation: 10+32=42, Resulting Numbers: [42]
42,12 unequal: No Solution
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,12 unequal: No Solution
Exploring Operation: 10*32=320, Resulting Numbers: [320]
320,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[62, 3], Operations: ['34-4=30', '30/10=3']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,12 unequal: No Solution
Exploring Operation: 62*3=186, Resulting Numbers: [186]
186,12 unequal: No Solution
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Moving to Node #0,0,3
Current State: 12:[30, 52], Operations: ['34-4=30', '62-10=52']
Exploring Operation: 52-30=22, Resulting Numbers: [22]
22,12 unequal: No Solution
Exploring Operation: 30+52=82, Resulting Numbers: [82]
82,12 unequal: No Solution
Exploring Operation: 30*52=1560, Resulting Numbers: [1560]
1560,12 unequal: No Solution
Moving to Node #0,0,2
Current State: 12:[62, 20], Operations: ['34-4=30', '30-10=20']
Exploring Operation: 62+20=82, Resulting Numbers: [82]
82,12 unequal: No Solution
Exploring Operation: 62*20=1240, Resulting Numbers: [1240]
1240,12 unequal: No Solution
Exploring Operation: 62-20=42, Resulting Numbers: [42]
42,12 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
24,
60,
49,
58
] | 75 | [
"24+60=84",
"58-49=9",
"84-9=75"
] | Current State: 75:[24, 60, 49, 58], Operations: []
Exploring Operation: 24+60=84, Resulting Numbers: [49, 58, 84]
Generated Node #2: [49, 58, 84] from Operation: 24+60=84
Current State: 75:[49, 58, 84], Operations: ['24+60=84']
Exploring Operation: 58-49=9, Resulting Numbers: [84, 9]
Generated Node #3: [84, 9] from Operation: 58-49=9
Current State: 75:[84, 9], Operations: ['24+60=84', '58-49=9']
Exploring Operation: 84-9=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[24, 60, 49, 58], Operations: []
Exploring Operation: 58-49=9, Resulting Numbers: [24, 60, 9]
Generated Node #0,0: 75:[24, 60, 9] Operation: 58-49=9
Exploring Operation: 60-49=11, Resulting Numbers: [24, 58, 11]
Generated Node #0,1: 75:[24, 58, 11] Operation: 60-49=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[24, 60, 9], Operations: ['58-49=9']
Exploring Operation: 60+9=69, Resulting Numbers: [24, 69]
Generated Node #0,0,0: 75:[24, 69] Operation: 60+9=69
Exploring Operation: 24+60=84, Resulting Numbers: [9, 84]
Generated Node #0,0,1: 75:[9, 84] Operation: 24+60=84
Moving to Node #0,0,0
Current State: 75:[24, 69], Operations: ['58-49=9', '60+9=69']
Exploring Operation: 24+69=93, Resulting Numbers: [93]
93,75 unequal: No Solution
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[9, 84], Operations: ['58-49=9', '24+60=84']
Exploring Operation: 84-9=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[24, 60, 49, 58], Operations: []
Exploring Operation: 58-49=9, Resulting Numbers: [24, 60, 9]
Generated Node #0,0: 75:[24, 60, 9] Operation: 58-49=9
Moving to Node #0,0
Current State: 75:[24, 60, 9], Operations: ['58-49=9']
Exploring Operation: 24+60=84, Resulting Numbers: [9, 84]
Generated Node #0,0,1: 75:[9, 84] Operation: 24+60=84
Moving to Node #0,0,1
Current State: 75:[9, 84], Operations: ['58-49=9', '24+60=84']
Exploring Operation: 84-9=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
1,
8,
18,
56
] | 11 | [
"1*8=8",
"56/8=7",
"18-7=11"
] | Current State: 11:[1, 8, 18, 56], Operations: []
Exploring Operation: 1*8=8, Resulting Numbers: [18, 56, 8]
Generated Node #2: [18, 56, 8] from Operation: 1*8=8
Current State: 11:[18, 56, 8], Operations: ['1*8=8']
Exploring Operation: 56/8=7, Resulting Numbers: [18, 7]
Generated Node #3: [18, 7] from Operation: 56/8=7
Current State: 11:[18, 7], Operations: ['1*8=8', '56/8=7']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[1, 8, 18, 56], Operations: []
Exploring Operation: 56/8=7, Resulting Numbers: [1, 18, 7]
Generated Node #0,0: 11:[1, 18, 7] Operation: 56/8=7
Moving to Node #0,0
Current State: 11:[1, 18, 7], Operations: ['56/8=7']
Exploring Operation: 18-1=17, Resulting Numbers: [7, 17]
Generated Node #0,0,0: 11:[7, 17] Operation: 18-1=17
Moving to Node #0,0,0
Current State: 11:[7, 17], Operations: ['56/8=7', '18-1=17']
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,11 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
5,
36,
21,
78
] | 98 | [
"5+36=41",
"78-21=57",
"41+57=98"
] | Current State: 98:[5, 36, 21, 78], Operations: []
Exploring Operation: 5+36=41, Resulting Numbers: [21, 78, 41]
Generated Node #2: [21, 78, 41] from Operation: 5+36=41
Current State: 98:[21, 78, 41], Operations: ['5+36=41']
Exploring Operation: 78-21=57, Resulting Numbers: [41, 57]
Generated Node #3: [41, 57] from Operation: 78-21=57
Current State: 98:[41, 57], Operations: ['5+36=41', '78-21=57']
Exploring Operation: 41+57=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[5, 36, 21, 78], Operations: []
Exploring Operation: 78-36=42, Resulting Numbers: [5, 21, 42]
Generated Node #0,0: 98:[5, 21, 42] Operation: 78-36=42
Exploring Operation: 36-21=15, Resulting Numbers: [5, 78, 15]
Generated Node #0,1: 98:[5, 78, 15] Operation: 36-21=15
Exploring Operation: 21+78=99, Resulting Numbers: [5, 36, 99]
Generated Node #0,2: 98:[5, 36, 99] Operation: 21+78=99
Moving to Node #0,0
Current State: 98:[5, 21, 42], Operations: ['78-36=42']
Exploring Operation: 5+42=47, Resulting Numbers: [21, 47]
Generated Node #0,0,0: 98:[21, 47] Operation: 5+42=47
Exploring Operation: 21-5=16, Resulting Numbers: [42, 16]
Generated Node #0,0,1: 98:[42, 16] Operation: 21-5=16
Exploring Operation: 42/21=2, Resulting Numbers: [5, 2]
Generated Node #0,0,2: 98:[5, 2] Operation: 42/21=2
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 98:[5, 2], Operations: ['78-36=42', '42/21=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 98:[21, 47], Operations: ['78-36=42', '5+42=47']
Exploring Operation: 21+47=68, Resulting Numbers: [68]
68,98 unequal: No Solution
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,98 unequal: No Solution
Exploring Operation: 21*47=987, Resulting Numbers: [987]
987,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 98:[42, 16], Operations: ['78-36=42', '21-5=16']
Exploring Operation: 42+16=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 42*16=672, Resulting Numbers: [672]
672,98 unequal: No Solution
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,98 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: 98:[5, 36, 99], Operations: ['21+78=99']
Exploring Operation: 99-36=63, Resulting Numbers: [5, 63]
Generated Node #0,2,0: 98:[5, 63] Operation: 99-36=63
Exploring Operation: 99-5=94, Resulting Numbers: [36, 94]
Generated Node #0,2,1: 98:[36, 94] Operation: 99-5=94
Exploring Operation: 5+36=41, Resulting Numbers: [99, 41]
Generated Node #0,2,2: 98:[99, 41] Operation: 5+36=41
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 98:[99, 41], Operations: ['21+78=99', '5+36=41']
Exploring Operation: 99-41=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 99*41=4059, Resulting Numbers: [4059]
4059,98 unequal: No Solution
Exploring Operation: 99+41=140, Resulting Numbers: [140]
140,98 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 #0,2,0
Current State: 98:[5, 63], Operations: ['21+78=99', '99-36=63']
Exploring Operation: 5+63=68, Resulting Numbers: [68]
68,98 unequal: No Solution
Exploring Operation: 63-5=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 5*63=315, Resulting Numbers: [315]
315,98 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 #0,2,1
Current State: 98:[36, 94], Operations: ['21+78=99', '99-5=94']
Exploring Operation: 94-36=58, Resulting Numbers: [58]
58,98 unequal: No Solution
Exploring Operation: 36+94=130, Resulting Numbers: [130]
130,98 unequal: No Solution
Exploring Operation: 36*94=3384, Resulting Numbers: [3384]
3384,98 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: 98:[5, 78, 15], Operations: ['36-21=15']
Exploring Operation: 78+15=93, Resulting Numbers: [5, 93]
Generated Node #0,1,0: 98:[5, 93] Operation: 78+15=93
Exploring Operation: 78-15=63, Resulting Numbers: [5, 63]
Generated Node #0,1,1: 98:[5, 63] Operation: 78-15=63
Exploring Operation: 5+78=83, Resulting Numbers: [15, 83]
Generated Node #0,1,2: 98:[15, 83] Operation: 5+78=83
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 98:[5, 93], Operations: ['36-21=15', '78+15=93']
Exploring Operation: 5*93=465, Resulting Numbers: [465]
465,98 unequal: No Solution
Exploring Operation: 5+93=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[5, 36, 21, 78], Operations: []
Exploring Operation: 36-21=15, Resulting Numbers: [5, 78, 15]
Generated Node #0,1: 98:[5, 78, 15] Operation: 36-21=15
Moving to Node #0,1
Current State: 98:[5, 78, 15], Operations: ['36-21=15']
Exploring Operation: 78+15=93, Resulting Numbers: [5, 93]
Generated Node #0,1,0: 98:[5, 93] Operation: 78+15=93
Moving to Node #0,1,0
Current State: 98:[5, 93], Operations: ['36-21=15', '78+15=93']
Exploring Operation: 5+93=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_3 | sum_heuristic |
[
32,
1,
77,
3
] | 93 | [
"3-1=2",
"32/2=16",
"77+16=93"
] | Current State: 93:[32, 1, 77, 3], Operations: []
Exploring Operation: 3-1=2, Resulting Numbers: [32, 77, 2]
Generated Node #2: [32, 77, 2] from Operation: 3-1=2
Current State: 93:[32, 77, 2], Operations: ['3-1=2']
Exploring Operation: 32/2=16, Resulting Numbers: [77, 16]
Generated Node #3: [77, 16] from Operation: 32/2=16
Current State: 93:[77, 16], Operations: ['3-1=2', '32/2=16']
Exploring Operation: 77+16=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[32, 1, 77, 3], Operations: []
Exploring Operation: 32-1=31, Resulting Numbers: [77, 3, 31]
Generated Node #0,0: 93:[77, 3, 31] Operation: 32-1=31
Exploring Operation: 77-32=45, Resulting Numbers: [1, 3, 45]
Generated Node #0,1: 93:[1, 3, 45] Operation: 77-32=45
Moving to Node #0,0
Current State: 93:[77, 3, 31], Operations: ['32-1=31']
Exploring Operation: 77+31=108, Resulting Numbers: [3, 108]
Generated Node #0,0,0: 93:[3, 108] Operation: 77+31=108
Exploring Operation: 77+3=80, Resulting Numbers: [31, 80]
Generated Node #0,0,1: 93:[31, 80] Operation: 77+3=80
Moving to Node #0,1
Current State: 93:[1, 3, 45], Operations: ['77-32=45']
Exploring Operation: 45-3=42, Resulting Numbers: [1, 42]
Generated Node #0,1,0: 93:[1, 42] Operation: 45-3=42
Exploring Operation: 45-1=44, Resulting Numbers: [3, 44]
Generated Node #0,1,1: 93:[3, 44] Operation: 45-1=44
Moving to Node #0,0,1
Current State: 93:[31, 80], Operations: ['32-1=31', '77+3=80']
Exploring Operation: 31+80=111, Resulting Numbers: [111]
111,93 unequal: No Solution
Exploring Operation: 80-31=49, Resulting Numbers: [49]
49,93 unequal: No Solution
Moving to Node #0,1,0
Current State: 93:[1, 42], Operations: ['77-32=45', '45-3=42']
Exploring Operation: 1*42=42, Resulting Numbers: [42]
42,93 unequal: No Solution
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[3, 44], Operations: ['77-32=45', '45-1=44']
Exploring Operation: 3+44=47, Resulting Numbers: [47]
47,93 unequal: No Solution
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[3, 108], Operations: ['32-1=31', '77+31=108']
Exploring Operation: 108/3=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Exploring Operation: 108-3=105, Resulting Numbers: [105]
105,93 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
43,
6,
65,
84
] | 68 | [
"43+6=49",
"84-65=19",
"49+19=68"
] | Current State: 68:[43, 6, 65, 84], Operations: []
Exploring Operation: 43+6=49, Resulting Numbers: [65, 84, 49]
Generated Node #2: [65, 84, 49] from Operation: 43+6=49
Current State: 68:[65, 84, 49], Operations: ['43+6=49']
Exploring Operation: 84-65=19, Resulting Numbers: [49, 19]
Generated Node #3: [49, 19] from Operation: 84-65=19
Current State: 68:[49, 19], Operations: ['43+6=49', '84-65=19']
Exploring Operation: 49+19=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[43, 6, 65, 84], Operations: []
Exploring Operation: 84-43=41, Resulting Numbers: [6, 65, 41]
Generated Node #0,0: 68:[6, 65, 41] Operation: 84-43=41
Exploring Operation: 84/6=14, Resulting Numbers: [43, 65, 14]
Generated Node #0,1: 68:[43, 65, 14] Operation: 84/6=14
Exploring Operation: 43-6=37, Resulting Numbers: [65, 84, 37]
Generated Node #0,2: 68:[65, 84, 37] Operation: 43-6=37
Exploring Operation: 84-65=19, Resulting Numbers: [43, 6, 19]
Generated Node #0,3: 68:[43, 6, 19] Operation: 84-65=19
Moving to Node #0,0
Current State: 68:[6, 65, 41], Operations: ['84-43=41']
Exploring Operation: 65-6=59, Resulting Numbers: [41, 59]
Generated Node #0,0,0: 68:[41, 59] Operation: 65-6=59
Exploring Operation: 6+65=71, Resulting Numbers: [41, 71]
Generated Node #0,0,1: 68:[41, 71] Operation: 6+65=71
Exploring Operation: 41-6=35, Resulting Numbers: [65, 35]
Generated Node #0,0,2: 68:[65, 35] Operation: 41-6=35
Exploring Operation: 65-41=24, Resulting Numbers: [6, 24]
Generated Node #0,0,3: 68:[6, 24] Operation: 65-41=24
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 68:[65, 35], Operations: ['84-43=41', '41-6=35']
Exploring Operation: 65-35=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 65*35=2275, Resulting Numbers: [2275]
2275,68 unequal: No Solution
Exploring Operation: 65+35=100, Resulting Numbers: [100]
100,68 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 #0,0,3
Current State: 68:[6, 24], Operations: ['84-43=41', '65-41=24']
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,68 unequal: No Solution
Exploring Operation: 6+24=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 6*24=144, Resulting Numbers: [144]
144,68 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,68 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 #0,0,1
Current State: 68:[41, 71], Operations: ['84-43=41', '6+65=71']
Exploring Operation: 71-41=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 41+71=112, Resulting Numbers: [112]
112,68 unequal: No Solution
Exploring Operation: 41*71=2911, Resulting Numbers: [2911]
2911,68 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 #0,0,0
Current State: 68:[41, 59], Operations: ['84-43=41', '65-6=59']
Exploring Operation: 59-41=18, Resulting Numbers: [18]
18,68 unequal: No Solution
Exploring Operation: 41*59=2419, Resulting Numbers: [2419]
2419,68 unequal: No Solution
Exploring Operation: 41+59=100, Resulting Numbers: [100]
100,68 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: 68:[43, 6, 19], Operations: ['84-65=19']
Exploring Operation: 19-6=13, Resulting Numbers: [43, 13]
Generated Node #0,3,0: 68:[43, 13] Operation: 19-6=13
Exploring Operation: 43+19=62, Resulting Numbers: [6, 62]
Generated Node #0,3,1: 68:[6, 62] Operation: 43+19=62
Exploring Operation: 43-6=37, Resulting Numbers: [19, 37]
Generated Node #0,3,2: 68:[19, 37] Operation: 43-6=37
Exploring Operation: 43-19=24, Resulting Numbers: [6, 24]
Generated Node #0,3,3: 68:[6, 24] Operation: 43-19=24
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 68:[19, 37], Operations: ['84-65=19', '43-6=37']
Exploring Operation: 37-19=18, Resulting Numbers: [18]
18,68 unequal: No Solution
Exploring Operation: 19*37=703, Resulting Numbers: [703]
703,68 unequal: No Solution
Exploring Operation: 19+37=56, Resulting Numbers: [56]
56,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 68:[6, 62], Operations: ['84-65=19', '43+19=62']
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,68 unequal: No Solution
Exploring Operation: 6*62=372, Resulting Numbers: [372]
372,68 unequal: No Solution
Exploring Operation: 6+62=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[43, 6, 65, 84], Operations: []
Exploring Operation: 84-65=19, Resulting Numbers: [43, 6, 19]
Generated Node #0,3: 68:[43, 6, 19] Operation: 84-65=19
Moving to Node #0,3
Current State: 68:[43, 6, 19], Operations: ['84-65=19']
Exploring Operation: 43+19=62, Resulting Numbers: [6, 62]
Generated Node #0,3,1: 68:[6, 62] Operation: 43+19=62
Moving to Node #0,3,1
Current State: 68:[6, 62], Operations: ['84-65=19', '43+19=62']
Exploring Operation: 6+62=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_4 | mult_heuristic |
[
60,
89,
62,
58
] | 91 | [
"60*89=5340",
"5340-62=5278",
"5278/58=91"
] | Current State: 91:[60, 89, 62, 58], Operations: []
Exploring Operation: 60*89=5340, Resulting Numbers: [62, 58, 5340]
Generated Node #2: [62, 58, 5340] from Operation: 60*89=5340
Current State: 91:[62, 58, 5340], Operations: ['60*89=5340']
Exploring Operation: 5340-62=5278, Resulting Numbers: [58, 5278]
Generated Node #3: [58, 5278] from Operation: 5340-62=5278
Current State: 91:[58, 5278], Operations: ['60*89=5340', '5340-62=5278']
Exploring Operation: 5278/58=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[60, 89, 62, 58], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [89, 62, 2]
Generated Node #0,0: 91:[89, 62, 2] Operation: 60-58=2
Exploring Operation: 62-60=2, Resulting Numbers: [89, 58, 2]
Generated Node #0,1: 91:[89, 58, 2] Operation: 62-60=2
Exploring Operation: 62-58=4, Resulting Numbers: [60, 89, 4]
Generated Node #0,2: 91:[60, 89, 4] Operation: 62-58=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[89, 62, 2], Operations: ['60-58=2']
Exploring Operation: 89-62=27, Resulting Numbers: [2, 27]
Generated Node #0,0,0: 91:[2, 27] Operation: 89-62=27
Exploring Operation: 89+2=91, Resulting Numbers: [62, 91]
Generated Node #0,0,1: 91:[62, 91] Operation: 89+2=91
Exploring Operation: 62/2=31, Resulting Numbers: [89, 31]
Generated Node #0,0,2: 91:[89, 31] Operation: 62/2=31
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[2, 27], Operations: ['60-58=2', '89-62=27']
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,91 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,91 unequal: No Solution
No 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: 91:[89, 31], Operations: ['60-58=2', '62/2=31']
Exploring Operation: 89+31=120, Resulting Numbers: [120]
120,91 unequal: No Solution
Exploring Operation: 89*31=2759, Resulting Numbers: [2759]
2759,91 unequal: No Solution
Exploring Operation: 89-31=58, Resulting Numbers: [58]
58,91 unequal: No Solution
No 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: 91:[62, 91], Operations: ['60-58=2', '89+2=91']
Exploring Operation: 91-62=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Exploring Operation: 62+91=153, Resulting Numbers: [153]
153,91 unequal: No Solution
Exploring Operation: 62*91=5642, Resulting Numbers: [5642]
5642,91 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: 91:[60, 89, 4], Operations: ['62-58=4']
Exploring Operation: 89-60=29, Resulting Numbers: [4, 29]
Generated Node #0,2,0: 91:[4, 29] Operation: 89-60=29
Exploring Operation: 60+4=64, Resulting Numbers: [89, 64]
Generated Node #0,2,1: 91:[89, 64] Operation: 60+4=64
Exploring Operation: 60/4=15, Resulting Numbers: [89, 15]
Generated Node #0,2,2: 91:[89, 15] Operation: 60/4=15
Moving to Node #0,2,2
Current State: 91:[89, 15], Operations: ['62-58=4', '60/4=15']
Exploring Operation: 89-15=74, Resulting Numbers: [74]
74,91 unequal: No Solution
Exploring Operation: 89+15=104, Resulting Numbers: [104]
104,91 unequal: No Solution
Exploring Operation: 89*15=1335, Resulting Numbers: [1335]
1335,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[4, 29], Operations: ['62-58=4', '89-60=29']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,91 unequal: No Solution
Exploring Operation: 4*29=116, Resulting Numbers: [116]
116,91 unequal: No Solution
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,91 unequal: No Solution
Moving to Node #0,2,1
Current State: 91:[89, 64], Operations: ['62-58=4', '60+4=64']
Exploring Operation: 89+64=153, Resulting Numbers: [153]
153,91 unequal: No Solution
Exploring Operation: 89-64=25, Resulting Numbers: [25]
25,91 unequal: No Solution
Exploring Operation: 89*64=5696, Resulting Numbers: [5696]
5696,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[89, 58, 2], Operations: ['62-60=2']
Exploring Operation: 89-58=31, Resulting Numbers: [2, 31]
Generated Node #0,1,0: 91:[2, 31] Operation: 89-58=31
Exploring Operation: 58/2=29, Resulting Numbers: [89, 29]
Generated Node #0,1,1: 91:[89, 29] Operation: 58/2=29
Exploring Operation: 58*2=116, Resulting Numbers: [89, 116]
Generated Node #0,1,2: 91:[89, 116] Operation: 58*2=116
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 91:[89, 29], Operations: ['62-60=2', '58/2=29']
Exploring Operation: 89*29=2581, Resulting Numbers: [2581]
2581,91 unequal: No Solution
Exploring Operation: 89+29=118, Resulting Numbers: [118]
118,91 unequal: No Solution
Exploring Operation: 89-29=60, Resulting Numbers: [60]
60,91 unequal: No Solution
No 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: 91:[2, 31], Operations: ['62-60=2', '89-58=31']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,91 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,91 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,91 unequal: No Solution
No 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: 91:[89, 116], Operations: ['62-60=2', '58*2=116']
Exploring Operation: 116-89=27, Resulting Numbers: [27]
27,91 unequal: No Solution
Exploring Operation: 89*116=10324, Resulting Numbers: [10324]
10324,91 unequal: No Solution
Exploring Operation: 89+116=205, Resulting Numbers: [205]
205,91 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 |
[
57,
75,
37,
39
] | 58 | [
"75-57=18",
"37+39=76",
"76-18=58"
] | Current State: 58:[57, 75, 37, 39], Operations: []
Exploring Operation: 75-57=18, Resulting Numbers: [37, 39, 18]
Generated Node #2: [37, 39, 18] from Operation: 75-57=18
Current State: 58:[37, 39, 18], Operations: ['75-57=18']
Exploring Operation: 37+39=76, Resulting Numbers: [18, 76]
Generated Node #3: [18, 76] from Operation: 37+39=76
Current State: 58:[18, 76], Operations: ['75-57=18', '37+39=76']
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[57, 75, 37, 39], Operations: []
Exploring Operation: 39-37=2, Resulting Numbers: [57, 75, 2]
Generated Node #0,0: 58:[57, 75, 2] Operation: 39-37=2
Exploring Operation: 75-39=36, Resulting Numbers: [57, 37, 36]
Generated Node #0,1: 58:[57, 37, 36] Operation: 75-39=36
Moving to Node #0,1
Current State: 58:[57, 37, 36], Operations: ['75-39=36']
Exploring Operation: 57-37=20, Resulting Numbers: [36, 20]
Generated Node #0,1,0: 58:[36, 20] Operation: 57-37=20
Exploring Operation: 37-36=1, Resulting Numbers: [57, 1]
Generated Node #0,1,1: 58:[57, 1] Operation: 37-36=1
Moving to Node #0,0
Current State: 58:[57, 75, 2], Operations: ['39-37=2']
Exploring Operation: 75-2=73, Resulting Numbers: [57, 73]
Generated Node #0,0,0: 58:[57, 73] Operation: 75-2=73
Exploring Operation: 75-57=18, Resulting Numbers: [2, 18]
Generated Node #0,0,1: 58:[2, 18] Operation: 75-57=18
Moving to Node #0,1,1
Current State: 58:[57, 1], Operations: ['75-39=36', '37-36=1']
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[57, 75, 37, 39], Operations: []
Exploring Operation: 75-39=36, Resulting Numbers: [57, 37, 36]
Generated Node #0,1: 58:[57, 37, 36] Operation: 75-39=36
Moving to Node #0,1
Current State: 58:[57, 37, 36], Operations: ['75-39=36']
Exploring Operation: 37-36=1, Resulting Numbers: [57, 1]
Generated Node #0,1,1: 58:[57, 1] Operation: 37-36=1
Moving to Node #0,1,1
Current State: 58:[57, 1], Operations: ['75-39=36', '37-36=1']
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 0.990451 | hs_2 | mult_heuristic |
[
19,
94,
45,
83
] | 47 | [
"19*94=1786",
"83-45=38",
"1786/38=47"
] | Current State: 47:[19, 94, 45, 83], Operations: []
Exploring Operation: 19*94=1786, Resulting Numbers: [45, 83, 1786]
Generated Node #2: [45, 83, 1786] from Operation: 19*94=1786
Current State: 47:[45, 83, 1786], Operations: ['19*94=1786']
Exploring Operation: 83-45=38, Resulting Numbers: [1786, 38]
Generated Node #3: [1786, 38] from Operation: 83-45=38
Current State: 47:[1786, 38], Operations: ['19*94=1786', '83-45=38']
Exploring Operation: 1786/38=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[19, 94, 45, 83], Operations: []
Exploring Operation: 83-19=64, Resulting Numbers: [94, 45, 64]
Generated Node #0,0: 47:[94, 45, 64] Operation: 83-19=64
Exploring Operation: 94-45=49, Resulting Numbers: [19, 83, 49]
Generated Node #0,1: 47:[19, 83, 49] Operation: 94-45=49
Exploring Operation: 94-19=75, Resulting Numbers: [45, 83, 75]
Generated Node #0,2: 47:[45, 83, 75] Operation: 94-19=75
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[94, 45, 64], Operations: ['83-19=64']
Exploring Operation: 94-64=30, Resulting Numbers: [45, 30]
Generated Node #0,0,0: 47:[45, 30] Operation: 94-64=30
Exploring Operation: 94-45=49, Resulting Numbers: [64, 49]
Generated Node #0,0,1: 47:[64, 49] Operation: 94-45=49
Exploring Operation: 64-45=19, Resulting Numbers: [94, 19]
Generated Node #0,0,2: 47:[94, 19] Operation: 64-45=19
Moving to Node #0,0,0
Current State: 47:[45, 30], Operations: ['83-19=64', '94-64=30']
Exploring Operation: 45-30=15, Resulting Numbers: [15]
15,47 unequal: No Solution
Exploring Operation: 45*30=1350, Resulting Numbers: [1350]
1350,47 unequal: No Solution
Exploring Operation: 45+30=75, Resulting Numbers: [75]
75,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[64, 49], Operations: ['83-19=64', '94-45=49']
Exploring Operation: 64-49=15, Resulting Numbers: [15]
15,47 unequal: No Solution
Exploring Operation: 64+49=113, Resulting Numbers: [113]
113,47 unequal: No Solution
Exploring Operation: 64*49=3136, Resulting Numbers: [3136]
3136,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[94, 19], Operations: ['83-19=64', '64-45=19']
Exploring Operation: 94+19=113, Resulting Numbers: [113]
113,47 unequal: No Solution
Exploring Operation: 94*19=1786, Resulting Numbers: [1786]
1786,47 unequal: No Solution
Exploring Operation: 94-19=75, Resulting Numbers: [75]
75,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[19, 83, 49], Operations: ['94-45=49']
Exploring Operation: 49-19=30, Resulting Numbers: [83, 30]
Generated Node #0,1,0: 47:[83, 30] Operation: 49-19=30
Exploring Operation: 83-19=64, Resulting Numbers: [49, 64]
Generated Node #0,1,1: 47:[49, 64] Operation: 83-19=64
Exploring Operation: 83-49=34, Resulting Numbers: [19, 34]
Generated Node #0,1,2: 47:[19, 34] Operation: 83-49=34
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 47:[49, 64], Operations: ['94-45=49', '83-19=64']
Exploring Operation: 64-49=15, Resulting Numbers: [15]
15,47 unequal: No Solution
Exploring Operation: 49+64=113, Resulting Numbers: [113]
113,47 unequal: No Solution
Exploring Operation: 49*64=3136, Resulting Numbers: [3136]
3136,47 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 #0,1,2
Current State: 47:[19, 34], Operations: ['94-45=49', '83-49=34']
Exploring Operation: 19+34=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Exploring Operation: 34-19=15, Resulting Numbers: [15]
15,47 unequal: No Solution
Exploring Operation: 19*34=646, Resulting Numbers: [646]
646,47 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 #0,1,0
Current State: 47:[83, 30], Operations: ['94-45=49', '49-19=30']
Exploring Operation: 83*30=2490, Resulting Numbers: [2490]
2490,47 unequal: No Solution
Exploring Operation: 83+30=113, Resulting Numbers: [113]
113,47 unequal: No Solution
Exploring Operation: 83-30=53, Resulting Numbers: [53]
53,47 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 #0,2
Current State: 47:[45, 83, 75], Operations: ['94-19=75']
Exploring Operation: 83-75=8, Resulting Numbers: [45, 8]
Generated Node #0,2,0: 47:[45, 8] Operation: 83-75=8
Exploring Operation: 75-45=30, Resulting Numbers: [83, 30]
Generated Node #0,2,1: 47:[83, 30] Operation: 75-45=30
Exploring Operation: 83-45=38, Resulting Numbers: [75, 38]
Generated Node #0,2,2: 47:[75, 38] Operation: 83-45=38
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 47:[75, 38], Operations: ['94-19=75', '83-45=38']
Exploring Operation: 75*38=2850, Resulting Numbers: [2850]
2850,47 unequal: No Solution
Exploring Operation: 75-38=37, Resulting Numbers: [37]
37,47 unequal: No Solution
Exploring Operation: 75+38=113, Resulting Numbers: [113]
113,47 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 #0,2,0
Current State: 47:[45, 8], Operations: ['94-19=75', '83-75=8']
Exploring Operation: 45+8=53, Resulting Numbers: [53]
53,47 unequal: No Solution
Exploring Operation: 45*8=360, Resulting Numbers: [360]
360,47 unequal: No Solution
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,47 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:[83, 30], Operations: ['94-19=75', '75-45=30']
Exploring Operation: 83+30=113, Resulting Numbers: [113]
113,47 unequal: No Solution
Exploring Operation: 83*30=2490, Resulting Numbers: [2490]
2490,47 unequal: No Solution
Exploring Operation: 83-30=53, Resulting Numbers: [53]
53,47 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 | mult_heuristic |
[
68,
64,
85,
3
] | 27 | [
"68-64=4",
"85-4=81",
"81/3=27"
] | Current State: 27:[68, 64, 85, 3], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [85, 3, 4]
Generated Node #2: [85, 3, 4] from Operation: 68-64=4
Current State: 27:[85, 3, 4], Operations: ['68-64=4']
Exploring Operation: 85-4=81, Resulting Numbers: [3, 81]
Generated Node #3: [3, 81] from Operation: 85-4=81
Current State: 27:[3, 81], Operations: ['68-64=4', '85-4=81']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[68, 64, 85, 3], Operations: []
Exploring Operation: 85-64=21, Resulting Numbers: [68, 3, 21]
Generated Node #0,0: 27:[68, 3, 21] Operation: 85-64=21
Exploring Operation: 85-68=17, Resulting Numbers: [64, 3, 17]
Generated Node #0,1: 27:[64, 3, 17] Operation: 85-68=17
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[64, 3, 17], Operations: ['85-68=17']
Exploring Operation: 64-17=47, Resulting Numbers: [3, 47]
Generated Node #0,1,0: 27:[3, 47] Operation: 64-17=47
Exploring Operation: 64-3=61, Resulting Numbers: [17, 61]
Generated Node #0,1,1: 27:[17, 61] Operation: 64-3=61
Moving to Node #0,1,0
Current State: 27:[3, 47], Operations: ['85-68=17', '64-17=47']
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,27 unequal: No Solution
Moving to Node #0,1,1
Current State: 27:[17, 61], Operations: ['85-68=17', '64-3=61']
Exploring Operation: 61-17=44, Resulting Numbers: [44]
44,27 unequal: No Solution
Exploring Operation: 17+61=78, Resulting Numbers: [78]
78,27 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
Current State: 27:[68, 3, 21], Operations: ['85-64=21']
Exploring Operation: 21/3=7, Resulting Numbers: [68, 7]
Generated Node #0,0,0: 27:[68, 7] Operation: 21/3=7
Exploring Operation: 68-21=47, Resulting Numbers: [3, 47]
Generated Node #0,0,1: 27:[3, 47] Operation: 68-21=47
Moving to Node #0,0,1
Current State: 27:[3, 47], Operations: ['85-64=21', '68-21=47']
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,27 unequal: No Solution
Moving to Node #0,0,0
Current State: 27:[68, 7], Operations: ['85-64=21', '21/3=7']
Exploring Operation: 68-7=61, Resulting Numbers: [61]
61,27 unequal: No Solution
Exploring Operation: 68+7=75, Resulting Numbers: [75]
75,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
2,
77,
52,
37
] | 64 | [
"2+77=79",
"52-37=15",
"79-15=64"
] | Current State: 64:[2, 77, 52, 37], Operations: []
Exploring Operation: 2+77=79, Resulting Numbers: [52, 37, 79]
Generated Node #2: [52, 37, 79] from Operation: 2+77=79
Current State: 64:[52, 37, 79], Operations: ['2+77=79']
Exploring Operation: 52-37=15, Resulting Numbers: [79, 15]
Generated Node #3: [79, 15] from Operation: 52-37=15
Current State: 64:[79, 15], Operations: ['2+77=79', '52-37=15']
Exploring Operation: 79-15=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[2, 77, 52, 37], Operations: []
Exploring Operation: 52-37=15, Resulting Numbers: [2, 77, 15]
Generated Node #0,0: 64:[2, 77, 15] Operation: 52-37=15
Exploring Operation: 77-37=40, Resulting Numbers: [2, 52, 40]
Generated Node #0,1: 64:[2, 52, 40] Operation: 77-37=40
Exploring Operation: 52/2=26, Resulting Numbers: [77, 37, 26]
Generated Node #0,2: 64:[77, 37, 26] Operation: 52/2=26
Exploring Operation: 77-2=75, Resulting Numbers: [52, 37, 75]
Generated Node #0,3: 64:[52, 37, 75] Operation: 77-2=75
Exploring Operation: 77-52=25, Resulting Numbers: [2, 37, 25]
Generated Node #0,4: 64:[2, 37, 25] Operation: 77-52=25
Moving to Node #0,4
Current State: 64:[2, 37, 25], Operations: ['77-52=25']
Exploring Operation: 37+25=62, Resulting Numbers: [2, 62]
Generated Node #0,4,0: 64:[2, 62] Operation: 37+25=62
Exploring Operation: 2+25=27, Resulting Numbers: [37, 27]
Generated Node #0,4,1: 64:[37, 27] Operation: 2+25=27
Exploring Operation: 25-2=23, Resulting Numbers: [37, 23]
Generated Node #0,4,2: 64:[37, 23] Operation: 25-2=23
Exploring Operation: 37-2=35, Resulting Numbers: [25, 35]
Generated Node #0,4,3: 64:[25, 35] Operation: 37-2=35
Exploring Operation: 37-25=12, Resulting Numbers: [2, 12]
Generated Node #0,4,4: 64:[2, 12] Operation: 37-25=12
Moving to Node #0,0
Current State: 64:[2, 77, 15], Operations: ['52-37=15']
Exploring Operation: 2+77=79, Resulting Numbers: [15, 79]
Generated Node #0,0,0: 64:[15, 79] Operation: 2+77=79
Exploring Operation: 77-2=75, Resulting Numbers: [15, 75]
Generated Node #0,0,1: 64:[15, 75] Operation: 77-2=75
Exploring Operation: 2+15=17, Resulting Numbers: [77, 17]
Generated Node #0,0,2: 64:[77, 17] Operation: 2+15=17
Exploring Operation: 77-15=62, Resulting Numbers: [2, 62]
Generated Node #0,0,3: 64:[2, 62] Operation: 77-15=62
Exploring Operation: 2*15=30, Resulting Numbers: [77, 30]
Generated Node #0,0,4: 64:[77, 30] Operation: 2*15=30
Moving to Node #0,1
Current State: 64:[2, 52, 40], Operations: ['77-37=40']
Exploring Operation: 2+52=54, Resulting Numbers: [40, 54]
Generated Node #0,1,0: 64:[40, 54] Operation: 2+52=54
Exploring Operation: 52/2=26, Resulting Numbers: [40, 26]
Generated Node #0,1,1: 64:[40, 26] Operation: 52/2=26
Exploring Operation: 40-2=38, Resulting Numbers: [52, 38]
Generated Node #0,1,2: 64:[52, 38] Operation: 40-2=38
Exploring Operation: 52-40=12, Resulting Numbers: [2, 12]
Generated Node #0,1,3: 64:[2, 12] Operation: 52-40=12
Exploring Operation: 40/2=20, Resulting Numbers: [52, 20]
Generated Node #0,1,4: 64:[52, 20] Operation: 40/2=20
Moving to Node #0,2
Current State: 64:[77, 37, 26], Operations: ['52/2=26']
Exploring Operation: 77-37=40, Resulting Numbers: [26, 40]
Generated Node #0,2,0: 64:[26, 40] Operation: 77-37=40
Exploring Operation: 77+26=103, Resulting Numbers: [37, 103]
Generated Node #0,2,1: 64:[37, 103] Operation: 77+26=103
Exploring Operation: 77-26=51, Resulting Numbers: [37, 51]
Generated Node #0,2,2: 64:[37, 51] Operation: 77-26=51
Exploring Operation: 37-26=11, Resulting Numbers: [77, 11]
Generated Node #0,2,3: 64:[77, 11] Operation: 37-26=11
Exploring Operation: 37+26=63, Resulting Numbers: [77, 63]
Generated Node #0,2,4: 64:[77, 63] Operation: 37+26=63
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 64:[26, 40], Operations: ['52/2=26', '77-37=40']
Exploring Operation: 40-26=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 26*40=1040, Resulting Numbers: [1040]
1040,64 unequal: No Solution
Exploring Operation: 26+40=66, Resulting Numbers: [66]
66,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 64:[77, 63], Operations: ['52/2=26', '37+26=63']
Exploring Operation: 77*63=4851, Resulting Numbers: [4851]
4851,64 unequal: No Solution
Exploring Operation: 77+63=140, Resulting Numbers: [140]
140,64 unequal: No Solution
Exploring Operation: 77-63=14, Resulting Numbers: [14]
14,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 64:[77, 11], Operations: ['52/2=26', '37-26=11']
Exploring Operation: 77/11=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 77*11=847, Resulting Numbers: [847]
847,64 unequal: No Solution
Exploring Operation: 77+11=88, Resulting Numbers: [88]
88,64 unequal: No Solution
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 64:[37, 51], Operations: ['52/2=26', '77-26=51']
Exploring Operation: 51-37=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 37*51=1887, Resulting Numbers: [1887]
1887,64 unequal: No Solution
Exploring Operation: 37+51=88, Resulting Numbers: [88]
88,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 64:[37, 103], Operations: ['52/2=26', '77+26=103']
Exploring Operation: 37+103=140, Resulting Numbers: [140]
140,64 unequal: No Solution
Exploring Operation: 37*103=3811, Resulting Numbers: [3811]
3811,64 unequal: No Solution
Exploring Operation: 103-37=66, Resulting Numbers: [66]
66,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 64:[52, 37, 75], Operations: ['77-2=75']
Exploring Operation: 37+75=112, Resulting Numbers: [52, 112]
Generated Node #0,3,0: 64:[52, 112] Operation: 37+75=112
Exploring Operation: 52-37=15, Resulting Numbers: [75, 15]
Generated Node #0,3,1: 64:[75, 15] Operation: 52-37=15
Exploring Operation: 52+37=89, Resulting Numbers: [75, 89]
Generated Node #0,3,2: 64:[75, 89] Operation: 52+37=89
Exploring Operation: 75-52=23, Resulting Numbers: [37, 23]
Generated Node #0,3,3: 64:[37, 23] Operation: 75-52=23
Exploring Operation: 75-37=38, Resulting Numbers: [52, 38]
Generated Node #0,3,4: 64:[52, 38] Operation: 75-37=38
Moving to Node #0,4,0
Current State: 64:[2, 62], Operations: ['77-52=25', '37+25=62']
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,64 unequal: No Solution
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,64 unequal: No Solution
Exploring Operation: 2*62=124, Resulting Numbers: [124]
124,64 unequal: No Solution
Exploring Operation: 2+62=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[2, 77, 52, 37], Operations: []
Exploring Operation: 77-52=25, Resulting Numbers: [2, 37, 25]
Generated Node #0,4: 64:[2, 37, 25] Operation: 77-52=25
Moving to Node #0,4
Current State: 64:[2, 37, 25], Operations: ['77-52=25']
Exploring Operation: 37+25=62, Resulting Numbers: [2, 62]
Generated Node #0,4,0: 64:[2, 62] Operation: 37+25=62
Moving to Node #0,4,0
Current State: 64:[2, 62], Operations: ['77-52=25', '37+25=62']
Exploring Operation: 2+62=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 0.953125 | hs_5 | sum_heuristic |
[
92,
58,
37,
93
] | 46 | [
"58+37=95",
"95-93=2",
"92/2=46"
] | Current State: 46:[92, 58, 37, 93], Operations: []
Exploring Operation: 58+37=95, Resulting Numbers: [92, 93, 95]
Generated Node #2: [92, 93, 95] from Operation: 58+37=95
Current State: 46:[92, 93, 95], Operations: ['58+37=95']
Exploring Operation: 95-93=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 95-93=2
Current State: 46:[92, 2], Operations: ['58+37=95', '95-93=2']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[92, 58, 37, 93], Operations: []
Exploring Operation: 93-92=1, Resulting Numbers: [58, 37, 1]
Generated Node #0,0: 46:[58, 37, 1] Operation: 93-92=1
Exploring Operation: 92-58=34, Resulting Numbers: [37, 93, 34]
Generated Node #0,1: 46:[37, 93, 34] Operation: 92-58=34
Exploring Operation: 93-58=35, Resulting Numbers: [92, 37, 35]
Generated Node #0,2: 46:[92, 37, 35] Operation: 93-58=35
Moving to Node #0,0
Current State: 46:[58, 37, 1], Operations: ['93-92=1']
Exploring Operation: 58-37=21, Resulting Numbers: [1, 21]
Generated Node #0,0,0: 46:[1, 21] Operation: 58-37=21
Exploring Operation: 58-1=57, Resulting Numbers: [37, 57]
Generated Node #0,0,1: 46:[37, 57] Operation: 58-1=57
Exploring Operation: 37+1=38, Resulting Numbers: [58, 38]
Generated Node #0,0,2: 46:[58, 38] Operation: 37+1=38
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 46:[1, 21], Operations: ['93-92=1', '58-37=21']
Exploring Operation: 1*21=21, Resulting Numbers: [21]
21,46 unequal: No Solution
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,46 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 #0,0,1
Current State: 46:[37, 57], Operations: ['93-92=1', '58-1=57']
Exploring Operation: 57-37=20, Resulting Numbers: [20]
20,46 unequal: No Solution
Exploring Operation: 37+57=94, Resulting Numbers: [94]
94,46 unequal: No Solution
Exploring Operation: 37*57=2109, Resulting Numbers: [2109]
2109,46 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 #0,0,2
Current State: 46:[58, 38], Operations: ['93-92=1', '37+1=38']
Exploring Operation: 58-38=20, Resulting Numbers: [20]
20,46 unequal: No Solution
Exploring Operation: 58*38=2204, Resulting Numbers: [2204]
2204,46 unequal: No Solution
Exploring Operation: 58+38=96, Resulting Numbers: [96]
96,46 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:[92, 37, 35], Operations: ['93-58=35']
Exploring Operation: 92-35=57, Resulting Numbers: [37, 57]
Generated Node #0,2,0: 46:[37, 57] Operation: 92-35=57
Exploring Operation: 37-35=2, Resulting Numbers: [92, 2]
Generated Node #0,2,1: 46:[92, 2] Operation: 37-35=2
Exploring Operation: 92-37=55, Resulting Numbers: [35, 55]
Generated Node #0,2,2: 46:[35, 55] Operation: 92-37=55
Moving to Node #0,1
Current State: 46:[37, 93, 34], Operations: ['92-58=34']
Exploring Operation: 93-34=59, Resulting Numbers: [37, 59]
Generated Node #0,1,0: 46:[37, 59] Operation: 93-34=59
Exploring Operation: 37-34=3, Resulting Numbers: [93, 3]
Generated Node #0,1,1: 46:[93, 3] Operation: 37-34=3
Exploring Operation: 93-37=56, Resulting Numbers: [34, 56]
Generated Node #0,1,2: 46:[34, 56] Operation: 93-37=56
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 46:[34, 56], Operations: ['92-58=34', '93-37=56']
Exploring Operation: 56-34=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 34+56=90, Resulting Numbers: [90]
90,46 unequal: No Solution
Exploring Operation: 34*56=1904, Resulting Numbers: [1904]
1904,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 46:[37, 59], Operations: ['92-58=34', '93-34=59']
Exploring Operation: 59-37=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 37*59=2183, Resulting Numbers: [2183]
2183,46 unequal: No Solution
Exploring Operation: 37+59=96, Resulting Numbers: [96]
96,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 46:[93, 3], Operations: ['92-58=34', '37-34=3']
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,46 unequal: No Solution
Exploring Operation: 93+3=96, Resulting Numbers: [96]
96,46 unequal: No Solution
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 46:[37, 57], Operations: ['93-58=35', '92-35=57']
Exploring Operation: 37+57=94, Resulting Numbers: [94]
94,46 unequal: No Solution
Exploring Operation: 37*57=2109, Resulting Numbers: [2109]
2109,46 unequal: No Solution
Exploring Operation: 57-37=20, Resulting Numbers: [20]
20,46 unequal: No Solution
Moving to Node #0,2,2
Current State: 46:[35, 55], Operations: ['93-58=35', '92-37=55']
Exploring Operation: 35+55=90, Resulting Numbers: [90]
90,46 unequal: No Solution
Exploring Operation: 55-35=20, Resulting Numbers: [20]
20,46 unequal: No Solution
Exploring Operation: 35*55=1925, Resulting Numbers: [1925]
1925,46 unequal: No Solution
Moving to Node #0,2,1
Current State: 46:[92, 2], Operations: ['93-58=35', '37-35=2']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[92, 58, 37, 93], Operations: []
Exploring Operation: 93-58=35, Resulting Numbers: [92, 37, 35]
Generated Node #0,2: 46:[92, 37, 35] Operation: 93-58=35
Moving to Node #0,2
Current State: 46:[92, 37, 35], Operations: ['93-58=35']
Exploring Operation: 37-35=2, Resulting Numbers: [92, 2]
Generated Node #0,2,1: 46:[92, 2] Operation: 37-35=2
Moving to Node #0,2,1
Current State: 46:[92, 2], Operations: ['93-58=35', '37-35=2']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 0.96441 | hs_3 | mult_heuristic |
[
68,
95,
66,
19
] | 76 | [
"68*95=6460",
"66+19=85",
"6460/85=76"
] | Current State: 76:[68, 95, 66, 19], Operations: []
Exploring Operation: 68*95=6460, Resulting Numbers: [66, 19, 6460]
Generated Node #2: [66, 19, 6460] from Operation: 68*95=6460
Current State: 76:[66, 19, 6460], Operations: ['68*95=6460']
Exploring Operation: 66+19=85, Resulting Numbers: [6460, 85]
Generated Node #3: [6460, 85] from Operation: 66+19=85
Current State: 76:[6460, 85], Operations: ['68*95=6460', '66+19=85']
Exploring Operation: 6460/85=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[68, 95, 66, 19], Operations: []
Exploring Operation: 95-66=29, Resulting Numbers: [68, 19, 29]
Generated Node #0,0: 76:[68, 19, 29] Operation: 95-66=29
Moving to Node #0,0
Current State: 76:[68, 19, 29], Operations: ['95-66=29']
Exploring Operation: 68-29=39, Resulting Numbers: [19, 39]
Generated Node #0,0,0: 76:[19, 39] Operation: 68-29=39
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[19, 39], Operations: ['95-66=29', '68-29=39']
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
74,
10,
54,
1
] | 11 | [
"74-10=64",
"54-1=53",
"64-53=11"
] | Current State: 11:[74, 10, 54, 1], Operations: []
Exploring Operation: 74-10=64, Resulting Numbers: [54, 1, 64]
Generated Node #2: [54, 1, 64] from Operation: 74-10=64
Current State: 11:[54, 1, 64], Operations: ['74-10=64']
Exploring Operation: 54-1=53, Resulting Numbers: [64, 53]
Generated Node #3: [64, 53] from Operation: 54-1=53
Current State: 11:[64, 53], Operations: ['74-10=64', '54-1=53']
Exploring Operation: 64-53=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[74, 10, 54, 1], Operations: []
Exploring Operation: 74-1=73, Resulting Numbers: [10, 54, 73]
Generated Node #0,0: 11:[10, 54, 73] Operation: 74-1=73
Exploring Operation: 74-10=64, Resulting Numbers: [54, 1, 64]
Generated Node #0,1: 11:[54, 1, 64] Operation: 74-10=64
Exploring Operation: 74-54=20, Resulting Numbers: [10, 1, 20]
Generated Node #0,2: 11:[10, 1, 20] Operation: 74-54=20
Exploring Operation: 54-10=44, Resulting Numbers: [74, 1, 44]
Generated Node #0,3: 11:[74, 1, 44] Operation: 54-10=44
Exploring Operation: 10+1=11, Resulting Numbers: [74, 54, 11]
Generated Node #0,4: 11:[74, 54, 11] Operation: 10+1=11
Start Sub Search at level 1: Moving to Node #0,2
Current State: 11:[10, 1, 20], Operations: ['74-54=20']
Exploring Operation: 10*1=10, Resulting Numbers: [20, 10]
Generated Node #0,2,0: 11:[20, 10] Operation: 10*1=10
Exploring Operation: 10/1=10, Resulting Numbers: [20, 10]
Generated Node #0,2,1: 11:[20, 10] Operation: 10/1=10
Exploring Operation: 10+1=11, Resulting Numbers: [20, 11]
Generated Node #0,2,2: 11:[20, 11] Operation: 10+1=11
Exploring Operation: 20-1=19, Resulting Numbers: [10, 19]
Generated Node #0,2,3: 11:[10, 19] Operation: 20-1=19
Exploring Operation: 1*20=20, Resulting Numbers: [10, 20]
Generated Node #0,2,4: 11:[10, 20] Operation: 1*20=20
Moving to Node #0,2,2
Current State: 11:[20, 11], Operations: ['74-54=20', '10+1=11']
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,11 unequal: No Solution
Exploring Operation: 20*11=220, Resulting Numbers: [220]
220,11 unequal: No Solution
Moving to Node #0,2,3
Current State: 11:[10, 19], Operations: ['74-54=20', '20-1=19']
Exploring Operation: 10*19=190, Resulting Numbers: [190]
190,11 unequal: No Solution
Exploring Operation: 10+19=29, Resulting Numbers: [29]
29,11 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Moving to Node #0,2,0
Current State: 11:[20, 10], Operations: ['74-54=20', '10*1=10']
Exploring Operation: 20*10=200, Resulting Numbers: [200]
200,11 unequal: No Solution
Exploring Operation: 20+10=30, Resulting Numbers: [30]
30,11 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[20, 10], Operations: ['74-54=20', '10/1=10']
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 20*10=200, Resulting Numbers: [200]
200,11 unequal: No Solution
Exploring Operation: 20+10=30, Resulting Numbers: [30]
30,11 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Moving to Node #0,2,4
Current State: 11:[10, 20], Operations: ['74-54=20', '1*20=20']
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 10*20=200, Resulting Numbers: [200]
200,11 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[10, 54, 73], Operations: ['74-1=73']
Exploring Operation: 10+73=83, Resulting Numbers: [54, 83]
Generated Node #0,0,0: 11:[54, 83] Operation: 10+73=83
Exploring Operation: 73-10=63, Resulting Numbers: [54, 63]
Generated Node #0,0,1: 11:[54, 63] Operation: 73-10=63
Exploring Operation: 73-54=19, Resulting Numbers: [10, 19]
Generated Node #0,0,2: 11:[10, 19] Operation: 73-54=19
Exploring Operation: 10+54=64, Resulting Numbers: [73, 64]
Generated Node #0,0,3: 11:[73, 64] Operation: 10+54=64
Exploring Operation: 54-10=44, Resulting Numbers: [73, 44]
Generated Node #0,0,4: 11:[73, 44] Operation: 54-10=44
Moving to Node #0,0,2
Current State: 11:[10, 19], Operations: ['74-1=73', '73-54=19']
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 10+19=29, Resulting Numbers: [29]
29,11 unequal: No Solution
Exploring Operation: 10*19=190, Resulting Numbers: [190]
190,11 unequal: No Solution
Moving to Node #0,0,4
Current State: 11:[73, 44], Operations: ['74-1=73', '54-10=44']
Exploring Operation: 73+44=117, Resulting Numbers: [117]
117,11 unequal: No Solution
Exploring Operation: 73-44=29, Resulting Numbers: [29]
29,11 unequal: No Solution
Exploring Operation: 73*44=3212, Resulting Numbers: [3212]
3212,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[54, 63], Operations: ['74-1=73', '73-10=63']
Exploring Operation: 54*63=3402, Resulting Numbers: [3402]
3402,11 unequal: No Solution
Exploring Operation: 63-54=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 54+63=117, Resulting Numbers: [117]
117,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[54, 83], Operations: ['74-1=73', '10+73=83']
Exploring Operation: 54+83=137, Resulting Numbers: [137]
137,11 unequal: No Solution
Exploring Operation: 83-54=29, Resulting Numbers: [29]
29,11 unequal: No Solution
Exploring Operation: 54*83=4482, Resulting Numbers: [4482]
4482,11 unequal: No Solution
Moving to Node #0,0,3
Current State: 11:[73, 64], Operations: ['74-1=73', '10+54=64']
Exploring Operation: 73-64=9, Resulting Numbers: [9]
9,11 unequal: No Solution
Exploring Operation: 73+64=137, Resulting Numbers: [137]
137,11 unequal: No Solution
Exploring Operation: 73*64=4672, Resulting Numbers: [4672]
4672,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[54, 1, 64], Operations: ['74-10=64']
Exploring Operation: 54*1=54, Resulting Numbers: [64, 54]
Generated Node #0,1,0: 11:[64, 54] Operation: 54*1=54
Exploring Operation: 54-1=53, Resulting Numbers: [64, 53]
Generated Node #0,1,1: 11:[64, 53] Operation: 54-1=53
Exploring Operation: 54/1=54, Resulting Numbers: [64, 54]
Generated Node #0,1,2: 11:[64, 54] Operation: 54/1=54
Exploring Operation: 64-54=10, Resulting Numbers: [1, 10]
Generated Node #0,1,3: 11:[1, 10] Operation: 64-54=10
Exploring Operation: 64-1=63, Resulting Numbers: [54, 63]
Generated Node #0,1,4: 11:[54, 63] Operation: 64-1=63
Moving to Node #0,1,3
Current State: 11:[1, 10], Operations: ['74-10=64', '64-54=10']
Exploring Operation: 1*10=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 1+10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[74, 10, 54, 1], Operations: []
Exploring Operation: 74-10=64, Resulting Numbers: [54, 1, 64]
Generated Node #0,1: 11:[54, 1, 64] Operation: 74-10=64
Moving to Node #0,1
Current State: 11:[54, 1, 64], Operations: ['74-10=64']
Exploring Operation: 64-54=10, Resulting Numbers: [1, 10]
Generated Node #0,1,3: 11:[1, 10] Operation: 64-54=10
Moving to Node #0,1,3
Current State: 11:[1, 10], Operations: ['74-10=64', '64-54=10']
Exploring Operation: 1+10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.948785 | hs_5 | mult_heuristic |
[
1,
67,
59,
63
] | 55 | [
"1*67=67",
"59+63=122",
"122-67=55"
] | Current State: 55:[1, 67, 59, 63], Operations: []
Exploring Operation: 1*67=67, Resulting Numbers: [59, 63, 67]
Generated Node #2: [59, 63, 67] from Operation: 1*67=67
Current State: 55:[59, 63, 67], Operations: ['1*67=67']
Exploring Operation: 59+63=122, Resulting Numbers: [67, 122]
Generated Node #3: [67, 122] from Operation: 59+63=122
Current State: 55:[67, 122], Operations: ['1*67=67', '59+63=122']
Exploring Operation: 122-67=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[1, 67, 59, 63], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [1, 59, 4]
Generated Node #0,0: 55:[1, 59, 4] Operation: 67-63=4
Exploring Operation: 63-59=4, Resulting Numbers: [1, 67, 4]
Generated Node #0,1: 55:[1, 67, 4] Operation: 63-59=4
Exploring Operation: 67-59=8, Resulting Numbers: [1, 63, 8]
Generated Node #0,2: 55:[1, 63, 8] Operation: 67-59=8
Moving to Node #0,0
Current State: 55:[1, 59, 4], Operations: ['67-63=4']
Exploring Operation: 59-1=58, Resulting Numbers: [4, 58]
Generated Node #0,0,0: 55:[4, 58] Operation: 59-1=58
Exploring Operation: 59-4=55, Resulting Numbers: [1, 55]
Generated Node #0,0,1: 55:[1, 55] Operation: 59-4=55
Exploring Operation: 1+4=5, Resulting Numbers: [59, 5]
Generated Node #0,0,2: 55:[59, 5] Operation: 1+4=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[4, 58], Operations: ['67-63=4', '59-1=58']
Exploring Operation: 4*58=232, Resulting Numbers: [232]
232,55 unequal: No Solution
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,55 unequal: No Solution
Exploring Operation: 4+58=62, Resulting Numbers: [62]
62,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 55:[1, 55], Operations: ['67-63=4', '59-4=55']
Exploring Operation: 1+55=56, Resulting Numbers: [56]
56,55 unequal: No Solution
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[1, 67, 59, 63], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [1, 59, 4]
Generated Node #0,0: 55:[1, 59, 4] Operation: 67-63=4
Moving to Node #0,0
Current State: 55:[1, 59, 4], Operations: ['67-63=4']
Exploring Operation: 59-4=55, Resulting Numbers: [1, 55]
Generated Node #0,0,1: 55:[1, 55] Operation: 59-4=55
Moving to Node #0,0,1
Current State: 55:[1, 55], Operations: ['67-63=4', '59-4=55']
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
28,
85,
59,
17
] | 19 | [
"85-28=57",
"59+17=76",
"76-57=19"
] | Current State: 19:[28, 85, 59, 17], Operations: []
Exploring Operation: 85-28=57, Resulting Numbers: [59, 17, 57]
Generated Node #2: [59, 17, 57] from Operation: 85-28=57
Current State: 19:[59, 17, 57], Operations: ['85-28=57']
Exploring Operation: 59+17=76, Resulting Numbers: [57, 76]
Generated Node #3: [57, 76] from Operation: 59+17=76
Current State: 19:[57, 76], Operations: ['85-28=57', '59+17=76']
Exploring Operation: 76-57=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[28, 85, 59, 17], Operations: []
Exploring Operation: 85/17=5, Resulting Numbers: [28, 59, 5]
Generated Node #0,0: 19:[28, 59, 5] Operation: 85/17=5
Exploring Operation: 85-59=26, Resulting Numbers: [28, 17, 26]
Generated Node #0,1: 19:[28, 17, 26] Operation: 85-59=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[28, 17, 26], Operations: ['85-59=26']
Exploring Operation: 28-26=2, Resulting Numbers: [17, 2]
Generated Node #0,1,0: 19:[17, 2] Operation: 28-26=2
Exploring Operation: 28-17=11, Resulting Numbers: [26, 11]
Generated Node #0,1,1: 19:[26, 11] Operation: 28-17=11
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 19:[26, 11], Operations: ['85-59=26', '28-17=11']
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,19 unequal: No Solution
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,19 unequal: No Solution
No 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: 19:[17, 2], Operations: ['85-59=26', '28-26=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,19 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[28, 85, 59, 17], Operations: []
Exploring Operation: 85-59=26, Resulting Numbers: [28, 17, 26]
Generated Node #0,1: 19:[28, 17, 26] Operation: 85-59=26
Moving to Node #0,1
Current State: 19:[28, 17, 26], Operations: ['85-59=26']
Exploring Operation: 28-26=2, Resulting Numbers: [17, 2]
Generated Node #0,1,0: 19:[17, 2] Operation: 28-26=2
Moving to Node #0,1,0
Current State: 19:[17, 2], Operations: ['85-59=26', '28-26=2']
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
33,
57,
54,
63
] | 19 | [
"54-33=21",
"57*21=1197",
"1197/63=19"
] | Current State: 19:[33, 57, 54, 63], Operations: []
Exploring Operation: 54-33=21, Resulting Numbers: [57, 63, 21]
Generated Node #2: [57, 63, 21] from Operation: 54-33=21
Current State: 19:[57, 63, 21], Operations: ['54-33=21']
Exploring Operation: 57*21=1197, Resulting Numbers: [63, 1197]
Generated Node #3: [63, 1197] from Operation: 57*21=1197
Current State: 19:[63, 1197], Operations: ['54-33=21', '57*21=1197']
Exploring Operation: 1197/63=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[33, 57, 54, 63], Operations: []
Exploring Operation: 63-54=9, Resulting Numbers: [33, 57, 9]
Generated Node #0,0: 19:[33, 57, 9] Operation: 63-54=9
Exploring Operation: 63-57=6, Resulting Numbers: [33, 54, 6]
Generated Node #0,1: 19:[33, 54, 6] Operation: 63-57=6
Exploring Operation: 57-54=3, Resulting Numbers: [33, 63, 3]
Generated Node #0,2: 19:[33, 63, 3] Operation: 57-54=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[33, 57, 9], Operations: ['63-54=9']
Exploring Operation: 57-9=48, Resulting Numbers: [33, 48]
Generated Node #0,0,0: 19:[33, 48] Operation: 57-9=48
Exploring Operation: 33-9=24, Resulting Numbers: [57, 24]
Generated Node #0,0,1: 19:[57, 24] Operation: 33-9=24
Exploring Operation: 57-33=24, Resulting Numbers: [9, 24]
Generated Node #0,0,2: 19:[9, 24] Operation: 57-33=24
Moving to Node #0,0,2
Current State: 19:[9, 24], Operations: ['63-54=9', '57-33=24']
Exploring Operation: 9+24=33, Resulting Numbers: [33]
33,19 unequal: No Solution
Exploring Operation: 9*24=216, Resulting Numbers: [216]
216,19 unequal: No Solution
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[33, 48], Operations: ['63-54=9', '57-9=48']
Exploring Operation: 48-33=15, Resulting Numbers: [15]
15,19 unequal: No Solution
Exploring Operation: 33+48=81, Resulting Numbers: [81]
81,19 unequal: No Solution
Exploring Operation: 33*48=1584, Resulting Numbers: [1584]
1584,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[57, 24], Operations: ['63-54=9', '33-9=24']
Exploring Operation: 57*24=1368, Resulting Numbers: [1368]
1368,19 unequal: No Solution
Exploring Operation: 57+24=81, Resulting Numbers: [81]
81,19 unequal: No Solution
Exploring Operation: 57-24=33, Resulting Numbers: [33]
33,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[33, 54, 6], Operations: ['63-57=6']
Exploring Operation: 33-6=27, Resulting Numbers: [54, 27]
Generated Node #0,1,0: 19:[54, 27] Operation: 33-6=27
Exploring Operation: 54/6=9, Resulting Numbers: [33, 9]
Generated Node #0,1,1: 19:[33, 9] Operation: 54/6=9
Exploring Operation: 54-33=21, Resulting Numbers: [6, 21]
Generated Node #0,1,2: 19:[6, 21] Operation: 54-33=21
Moving to Node #0,1,2
Current State: 19:[6, 21], Operations: ['63-57=6', '54-33=21']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,19 unequal: No Solution
Exploring Operation: 6*21=126, Resulting Numbers: [126]
126,19 unequal: No Solution
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[33, 9], Operations: ['63-57=6', '54/6=9']
Exploring Operation: 33*9=297, Resulting Numbers: [297]
297,19 unequal: No Solution
Exploring Operation: 33+9=42, Resulting Numbers: [42]
42,19 unequal: No Solution
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,19 unequal: No Solution
Moving to Node #0,1,0
Current State: 19:[54, 27], Operations: ['63-57=6', '33-6=27']
Exploring Operation: 54-27=27, Resulting Numbers: [27]
27,19 unequal: No Solution
Exploring Operation: 54/27=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Exploring Operation: 54+27=81, Resulting Numbers: [81]
81,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[33, 63, 3], Operations: ['57-54=3']
Exploring Operation: 63/3=21, Resulting Numbers: [33, 21]
Generated Node #0,2,0: 19:[33, 21] Operation: 63/3=21
Exploring Operation: 33/3=11, Resulting Numbers: [63, 11]
Generated Node #0,2,1: 19:[63, 11] Operation: 33/3=11
Exploring Operation: 63-33=30, Resulting Numbers: [3, 30]
Generated Node #0,2,2: 19:[3, 30] Operation: 63-33=30
Moving to Node #0,2,0
Current State: 19:[33, 21], Operations: ['57-54=3', '63/3=21']
Exploring Operation: 33+21=54, Resulting Numbers: [54]
54,19 unequal: No Solution
Exploring Operation: 33-21=12, Resulting Numbers: [12]
12,19 unequal: No Solution
Exploring Operation: 33*21=693, Resulting Numbers: [693]
693,19 unequal: No Solution
Moving to Node #0,2,2
Current State: 19:[3, 30], Operations: ['57-54=3', '63-33=30']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,19 unequal: No Solution
Exploring Operation: 3+30=33, Resulting Numbers: [33]
33,19 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Moving to Node #0,2,1
Current State: 19:[63, 11], Operations: ['57-54=3', '33/3=11']
Exploring Operation: 63*11=693, Resulting Numbers: [693]
693,19 unequal: No Solution
Exploring Operation: 63-11=52, Resulting Numbers: [52]
52,19 unequal: No Solution
Exploring Operation: 63+11=74, Resulting Numbers: [74]
74,19 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 |
[
76,
57,
45,
51
] | 38 | [
"76*51=3876",
"57+45=102",
"3876/102=38"
] | Current State: 38:[76, 57, 45, 51], Operations: []
Exploring Operation: 76*51=3876, Resulting Numbers: [57, 45, 3876]
Generated Node #2: [57, 45, 3876] from Operation: 76*51=3876
Current State: 38:[57, 45, 3876], Operations: ['76*51=3876']
Exploring Operation: 57+45=102, Resulting Numbers: [3876, 102]
Generated Node #3: [3876, 102] from Operation: 57+45=102
Current State: 38:[3876, 102], Operations: ['76*51=3876', '57+45=102']
Exploring Operation: 3876/102=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[76, 57, 45, 51], Operations: []
Exploring Operation: 76-57=19, Resulting Numbers: [45, 51, 19]
Generated Node #0,0: 38:[45, 51, 19] Operation: 76-57=19
Exploring Operation: 76-45=31, Resulting Numbers: [57, 51, 31]
Generated Node #0,1: 38:[57, 51, 31] Operation: 76-45=31
Exploring Operation: 76-51=25, Resulting Numbers: [57, 45, 25]
Generated Node #0,2: 38:[57, 45, 25] Operation: 76-51=25
Moving to Node #0,0
Current State: 38:[45, 51, 19], Operations: ['76-57=19']
Exploring Operation: 51-19=32, Resulting Numbers: [45, 32]
Generated Node #0,0,0: 38:[45, 32] Operation: 51-19=32
Exploring Operation: 51-45=6, Resulting Numbers: [19, 6]
Generated Node #0,0,1: 38:[19, 6] Operation: 51-45=6
Exploring Operation: 45-19=26, Resulting Numbers: [51, 26]
Generated Node #0,0,2: 38:[51, 26] Operation: 45-19=26
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 38:[19, 6], Operations: ['76-57=19', '51-45=6']
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,38 unequal: No Solution
Exploring Operation: 19*6=114, Resulting Numbers: [114]
114,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[45, 32], Operations: ['76-57=19', '51-19=32']
Exploring Operation: 45*32=1440, Resulting Numbers: [1440]
1440,38 unequal: No Solution
Exploring Operation: 45+32=77, Resulting Numbers: [77]
77,38 unequal: No Solution
Exploring Operation: 45-32=13, Resulting Numbers: [13]
13,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 38:[51, 26], Operations: ['76-57=19', '45-19=26']
Exploring Operation: 51*26=1326, Resulting Numbers: [1326]
1326,38 unequal: No Solution
Exploring Operation: 51+26=77, Resulting Numbers: [77]
77,38 unequal: No Solution
Exploring Operation: 51-26=25, Resulting Numbers: [25]
25,38 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: 38:[57, 45, 25], Operations: ['76-51=25']
Exploring Operation: 45-25=20, Resulting Numbers: [57, 20]
Generated Node #0,2,0: 38:[57, 20] Operation: 45-25=20
Exploring Operation: 57-45=12, Resulting Numbers: [25, 12]
Generated Node #0,2,1: 38:[25, 12] Operation: 57-45=12
Exploring Operation: 57-25=32, Resulting Numbers: [45, 32]
Generated Node #0,2,2: 38:[45, 32] Operation: 57-25=32
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 38:[25, 12], Operations: ['76-51=25', '57-45=12']
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,38 unequal: No Solution
Exploring Operation: 25*12=300, Resulting Numbers: [300]
300,38 unequal: No Solution
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 38:[45, 32], Operations: ['76-51=25', '57-25=32']
Exploring Operation: 45*32=1440, Resulting Numbers: [1440]
1440,38 unequal: No Solution
Exploring Operation: 45-32=13, Resulting Numbers: [13]
13,38 unequal: No Solution
Exploring Operation: 45+32=77, Resulting Numbers: [77]
77,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 38:[57, 20], Operations: ['76-51=25', '45-25=20']
Exploring Operation: 57*20=1140, Resulting Numbers: [1140]
1140,38 unequal: No Solution
Exploring Operation: 57-20=37, Resulting Numbers: [37]
37,38 unequal: No Solution
Exploring Operation: 57+20=77, Resulting Numbers: [77]
77,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 38:[57, 51, 31], Operations: ['76-45=31']
Exploring Operation: 57-51=6, Resulting Numbers: [31, 6]
Generated Node #0,1,0: 38:[31, 6] Operation: 57-51=6
Exploring Operation: 51-31=20, Resulting Numbers: [57, 20]
Generated Node #0,1,1: 38:[57, 20] Operation: 51-31=20
Exploring Operation: 57-31=26, Resulting Numbers: [51, 26]
Generated Node #0,1,2: 38:[51, 26] Operation: 57-31=26
Moving to Node #0,1,0
Current State: 38:[31, 6], Operations: ['76-45=31', '57-51=6']
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,38 unequal: No Solution
Exploring Operation: 31*6=186, Resulting Numbers: [186]
186,38 unequal: No Solution
Moving to Node #0,1,1
Current State: 38:[57, 20], Operations: ['76-45=31', '51-31=20']
Exploring Operation: 57-20=37, Resulting Numbers: [37]
37,38 unequal: No Solution
Exploring Operation: 57+20=77, Resulting Numbers: [77]
77,38 unequal: No Solution
Exploring Operation: 57*20=1140, Resulting Numbers: [1140]
1140,38 unequal: No Solution
Moving to Node #0,1,2
Current State: 38:[51, 26], Operations: ['76-45=31', '57-31=26']
Exploring Operation: 51*26=1326, Resulting Numbers: [1326]
1326,38 unequal: No Solution
Exploring Operation: 51+26=77, Resulting Numbers: [77]
77,38 unequal: No Solution
Exploring Operation: 51-26=25, Resulting Numbers: [25]
25,38 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
88,
11,
93,
3
] | 58 | [
"93-88=5",
"11*5=55",
"3+55=58"
] | Current State: 58:[88, 11, 93, 3], Operations: []
Exploring Operation: 93-88=5, Resulting Numbers: [11, 3, 5]
Generated Node #2: [11, 3, 5] from Operation: 93-88=5
Current State: 58:[11, 3, 5], Operations: ['93-88=5']
Exploring Operation: 11*5=55, Resulting Numbers: [3, 55]
Generated Node #3: [3, 55] from Operation: 11*5=55
Current State: 58:[3, 55], Operations: ['93-88=5', '11*5=55']
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[88, 11, 93, 3], Operations: []
Exploring Operation: 93/3=31, Resulting Numbers: [88, 11, 31]
Generated Node #0,0: 58:[88, 11, 31] Operation: 93/3=31
Exploring Operation: 93-88=5, Resulting Numbers: [11, 3, 5]
Generated Node #0,1: 58:[11, 3, 5] Operation: 93-88=5
Exploring Operation: 88/11=8, Resulting Numbers: [93, 3, 8]
Generated Node #0,2: 58:[93, 3, 8] Operation: 88/11=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[11, 3, 5], Operations: ['93-88=5']
Exploring Operation: 11*3=33, Resulting Numbers: [5, 33]
Generated Node #0,1,0: 58:[5, 33] Operation: 11*3=33
Exploring Operation: 11*5=55, Resulting Numbers: [3, 55]
Generated Node #0,1,1: 58:[3, 55] Operation: 11*5=55
Exploring Operation: 11-5=6, Resulting Numbers: [3, 6]
Generated Node #0,1,2: 58:[3, 6] Operation: 11-5=6
Moving to Node #0,1,1
Current State: 58:[3, 55], Operations: ['93-88=5', '11*5=55']
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[88, 11, 93, 3], Operations: []
Exploring Operation: 93-88=5, Resulting Numbers: [11, 3, 5]
Generated Node #0,1: 58:[11, 3, 5] Operation: 93-88=5
Moving to Node #0,1
Current State: 58:[11, 3, 5], Operations: ['93-88=5']
Exploring Operation: 11*5=55, Resulting Numbers: [3, 55]
Generated Node #0,1,1: 58:[3, 55] Operation: 11*5=55
Moving to Node #0,1,1
Current State: 58:[3, 55], Operations: ['93-88=5', '11*5=55']
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
2,
51,
30,
80
] | 52 | [
"2*51=102",
"80-30=50",
"102-50=52"
] | Current State: 52:[2, 51, 30, 80], Operations: []
Exploring Operation: 2*51=102, Resulting Numbers: [30, 80, 102]
Generated Node #2: [30, 80, 102] from Operation: 2*51=102
Current State: 52:[30, 80, 102], Operations: ['2*51=102']
Exploring Operation: 80-30=50, Resulting Numbers: [102, 50]
Generated Node #3: [102, 50] from Operation: 80-30=50
Current State: 52:[102, 50], Operations: ['2*51=102', '80-30=50']
Exploring Operation: 102-50=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[2, 51, 30, 80], Operations: []
Exploring Operation: 80-51=29, Resulting Numbers: [2, 30, 29]
Generated Node #0,0: 52:[2, 30, 29] Operation: 80-51=29
Exploring Operation: 80/2=40, Resulting Numbers: [51, 30, 40]
Generated Node #0,1: 52:[51, 30, 40] Operation: 80/2=40
Exploring Operation: 80-30=50, Resulting Numbers: [2, 51, 50]
Generated Node #0,2: 52:[2, 51, 50] Operation: 80-30=50
Moving to Node #0,2
Current State: 52:[2, 51, 50], Operations: ['80-30=50']
Exploring Operation: 50/2=25, Resulting Numbers: [51, 25]
Generated Node #0,2,0: 52:[51, 25] Operation: 50/2=25
Exploring Operation: 51-50=1, Resulting Numbers: [2, 1]
Generated Node #0,2,1: 52:[2, 1] Operation: 51-50=1
Exploring Operation: 2+50=52, Resulting Numbers: [51, 52]
Generated Node #0,2,2: 52:[51, 52] Operation: 2+50=52
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 52:[2, 1], Operations: ['80-30=50', '51-50=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 52:[51, 52], Operations: ['80-30=50', '2+50=52']
Exploring Operation: 52-51=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 51+52=103, Resulting Numbers: [103]
103,52 unequal: No Solution
Exploring Operation: 51*52=2652, Resulting Numbers: [2652]
2652,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 52:[51, 25], Operations: ['80-30=50', '50/2=25']
Exploring Operation: 51*25=1275, Resulting Numbers: [1275]
1275,52 unequal: No Solution
Exploring Operation: 51+25=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,52 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: 52:[2, 30, 29], Operations: ['80-51=29']
Exploring Operation: 30/2=15, Resulting Numbers: [29, 15]
Generated Node #0,0,0: 52:[29, 15] Operation: 30/2=15
Exploring Operation: 30-29=1, Resulting Numbers: [2, 1]
Generated Node #0,0,1: 52:[2, 1] Operation: 30-29=1
Exploring Operation: 30-2=28, Resulting Numbers: [29, 28]
Generated Node #0,0,2: 52:[29, 28] Operation: 30-2=28
Moving to Node #0,1
Current State: 52:[51, 30, 40], Operations: ['80/2=40']
Exploring Operation: 51-30=21, Resulting Numbers: [40, 21]
Generated Node #0,1,0: 52:[40, 21] Operation: 51-30=21
Exploring Operation: 40-30=10, Resulting Numbers: [51, 10]
Generated Node #0,1,1: 52:[51, 10] Operation: 40-30=10
Exploring Operation: 51-40=11, Resulting Numbers: [30, 11]
Generated Node #0,1,2: 52:[30, 11] Operation: 51-40=11
Moving to Node #0,0,1
Current State: 52:[2, 1], Operations: ['80-51=29', '30-29=1']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[51, 10], Operations: ['80/2=40', '40-30=10']
Exploring Operation: 51-10=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Exploring Operation: 51+10=61, Resulting Numbers: [61]
61,52 unequal: No Solution
Exploring Operation: 51*10=510, Resulting Numbers: [510]
510,52 unequal: No Solution
Moving to Node #0,0,2
Current State: 52:[29, 28], Operations: ['80-51=29', '30-2=28']
Exploring Operation: 29*28=812, Resulting Numbers: [812]
812,52 unequal: No Solution
Exploring Operation: 29+28=57, Resulting Numbers: [57]
57,52 unequal: No Solution
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Moving to Node #0,0,0
Current State: 52:[29, 15], Operations: ['80-51=29', '30/2=15']
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,52 unequal: No Solution
Exploring Operation: 29+15=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 29*15=435, Resulting Numbers: [435]
435,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[30, 11], Operations: ['80/2=40', '51-40=11']
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,52 unequal: No Solution
Exploring Operation: 30*11=330, Resulting Numbers: [330]
330,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[40, 21], Operations: ['80/2=40', '51-30=21']
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,52 unequal: No Solution
Exploring Operation: 40*21=840, Resulting Numbers: [840]
840,52 unequal: No Solution
Exploring Operation: 40+21=61, Resulting Numbers: [61]
61,52 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
94,
31,
11,
11
] | 64 | [
"94-31=63",
"11/11=1",
"63+1=64"
] | Current State: 64:[94, 31, 11, 11], Operations: []
Exploring Operation: 94-31=63, Resulting Numbers: [11, 11, 63]
Generated Node #2: [11, 11, 63] from Operation: 94-31=63
Current State: 64:[11, 11, 63], Operations: ['94-31=63']
Exploring Operation: 11/11=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 11/11=1
Current State: 64:[63, 1], Operations: ['94-31=63', '11/11=1']
Exploring Operation: 63+1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[94, 31, 11, 11], Operations: []
Exploring Operation: 94-31=63, Resulting Numbers: [11, 11, 63]
Generated Node #0,0: 64:[11, 11, 63] Operation: 94-31=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[11, 11, 63], Operations: ['94-31=63']
Exploring Operation: 11/11=1, Resulting Numbers: [63, 1]
Generated Node #0,0,0: 64:[63, 1] Operation: 11/11=1
Moving to Node #0,0,0
Current State: 64:[63, 1], Operations: ['94-31=63', '11/11=1']
Exploring Operation: 63+1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[94, 31, 11, 11], Operations: []
Exploring Operation: 94-31=63, Resulting Numbers: [11, 11, 63]
Generated Node #0,0: 64:[11, 11, 63] Operation: 94-31=63
Moving to Node #0,0
Current State: 64:[11, 11, 63], Operations: ['94-31=63']
Exploring Operation: 11/11=1, Resulting Numbers: [63, 1]
Generated Node #0,0,0: 64:[63, 1] Operation: 11/11=1
Moving to Node #0,0,0
Current State: 64:[63, 1], Operations: ['94-31=63', '11/11=1']
Exploring Operation: 63+1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
14,
46,
63,
64
] | 65 | [
"46-14=32",
"64/32=2",
"63+2=65"
] | Current State: 65:[14, 46, 63, 64], Operations: []
Exploring Operation: 46-14=32, Resulting Numbers: [63, 64, 32]
Generated Node #2: [63, 64, 32] from Operation: 46-14=32
Current State: 65:[63, 64, 32], Operations: ['46-14=32']
Exploring Operation: 64/32=2, Resulting Numbers: [63, 2]
Generated Node #3: [63, 2] from Operation: 64/32=2
Current State: 65:[63, 2], Operations: ['46-14=32', '64/32=2']
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[14, 46, 63, 64], Operations: []
Exploring Operation: 46-14=32, Resulting Numbers: [63, 64, 32]
Generated Node #0,0: 65:[63, 64, 32] Operation: 46-14=32
Exploring Operation: 64-46=18, Resulting Numbers: [14, 63, 18]
Generated Node #0,1: 65:[14, 63, 18] Operation: 64-46=18
Exploring Operation: 14+46=60, Resulting Numbers: [63, 64, 60]
Generated Node #0,2: 65:[63, 64, 60] Operation: 14+46=60
Exploring Operation: 63-46=17, Resulting Numbers: [14, 64, 17]
Generated Node #0,3: 65:[14, 64, 17] Operation: 63-46=17
Moving to Node #0,3
Current State: 65:[14, 64, 17], Operations: ['63-46=17']
Exploring Operation: 17-14=3, Resulting Numbers: [64, 3]
Generated Node #0,3,0: 65:[64, 3] Operation: 17-14=3
Exploring Operation: 64+17=81, Resulting Numbers: [14, 81]
Generated Node #0,3,1: 65:[14, 81] Operation: 64+17=81
Exploring Operation: 14+64=78, Resulting Numbers: [17, 78]
Generated Node #0,3,2: 65:[17, 78] Operation: 14+64=78
Exploring Operation: 64-14=50, Resulting Numbers: [17, 50]
Generated Node #0,3,3: 65:[17, 50] Operation: 64-14=50
Moving to Node #0,2
Current State: 65:[63, 64, 60], Operations: ['14+46=60']
Exploring Operation: 64-60=4, Resulting Numbers: [63, 4]
Generated Node #0,2,0: 65:[63, 4] Operation: 64-60=4
Exploring Operation: 64-63=1, Resulting Numbers: [60, 1]
Generated Node #0,2,1: 65:[60, 1] Operation: 64-63=1
Exploring Operation: 63+60=123, Resulting Numbers: [64, 123]
Generated Node #0,2,2: 65:[64, 123] Operation: 63+60=123
Exploring Operation: 63-60=3, Resulting Numbers: [64, 3]
Generated Node #0,2,3: 65:[64, 3] Operation: 63-60=3
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 65:[63, 4], Operations: ['14+46=60', '64-60=4']
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,65 unequal: No Solution
Exploring Operation: 63*4=252, Resulting Numbers: [252]
252,65 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,65 unequal: No Solution
No 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: 65:[64, 3], Operations: ['14+46=60', '63-60=3']
Exploring Operation: 64*3=192, Resulting Numbers: [192]
192,65 unequal: No Solution
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,65 unequal: No Solution
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,65 unequal: No Solution
No 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: 65:[60, 1], Operations: ['14+46=60', '64-63=1']
Exploring Operation: 60/1=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Exploring Operation: 60+1=61, Resulting Numbers: [61]
61,65 unequal: No Solution
Exploring Operation: 60*1=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Exploring Operation: 60-1=59, Resulting Numbers: [59]
59,65 unequal: No Solution
No 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: 65:[64, 123], Operations: ['14+46=60', '63+60=123']
Exploring Operation: 123-64=59, Resulting Numbers: [59]
59,65 unequal: No Solution
Exploring Operation: 64*123=7872, Resulting Numbers: [7872]
7872,65 unequal: No Solution
Exploring Operation: 64+123=187, Resulting Numbers: [187]
187,65 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: 65:[14, 63, 18], Operations: ['64-46=18']
Exploring Operation: 63-14=49, Resulting Numbers: [18, 49]
Generated Node #0,1,0: 65:[18, 49] Operation: 63-14=49
Exploring Operation: 63+18=81, Resulting Numbers: [14, 81]
Generated Node #0,1,1: 65:[14, 81] Operation: 63+18=81
Exploring Operation: 14+63=77, Resulting Numbers: [18, 77]
Generated Node #0,1,2: 65:[18, 77] Operation: 14+63=77
Exploring Operation: 18-14=4, Resulting Numbers: [63, 4]
Generated Node #0,1,3: 65:[63, 4] Operation: 18-14=4
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 65:[63, 4], Operations: ['64-46=18', '18-14=4']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,65 unequal: No Solution
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,65 unequal: No Solution
Exploring Operation: 63*4=252, Resulting Numbers: [252]
252,65 unequal: No Solution
No 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: 65:[14, 81], Operations: ['64-46=18', '63+18=81']
Exploring Operation: 14*81=1134, Resulting Numbers: [1134]
1134,65 unequal: No Solution
Exploring Operation: 14+81=95, Resulting Numbers: [95]
95,65 unequal: No Solution
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,65 unequal: No Solution
No 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: 65:[18, 77], Operations: ['64-46=18', '14+63=77']
Exploring Operation: 18+77=95, Resulting Numbers: [95]
95,65 unequal: No Solution
Exploring Operation: 77-18=59, Resulting Numbers: [59]
59,65 unequal: No Solution
Exploring Operation: 18*77=1386, Resulting Numbers: [1386]
1386,65 unequal: No Solution
No 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: 65:[18, 49], Operations: ['64-46=18', '63-14=49']
Exploring Operation: 18*49=882, Resulting Numbers: [882]
882,65 unequal: No Solution
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,65 unequal: No Solution
Exploring Operation: 18+49=67, Resulting Numbers: [67]
67,65 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: 65:[63, 64, 32], Operations: ['46-14=32']
Exploring Operation: 64-32=32, Resulting Numbers: [63, 32]
Generated Node #0,0,0: 65:[63, 32] Operation: 64-32=32
Exploring Operation: 64/32=2, Resulting Numbers: [63, 2]
Generated Node #0,0,1: 65:[63, 2] Operation: 64/32=2
Exploring Operation: 64-63=1, Resulting Numbers: [32, 1]
Generated Node #0,0,2: 65:[32, 1] Operation: 64-63=1
Exploring Operation: 63-32=31, Resulting Numbers: [64, 31]
Generated Node #0,0,3: 65:[64, 31] Operation: 63-32=31
Moving to Node #0,3,0
Current State: 65:[64, 3], Operations: ['63-46=17', '17-14=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,65 unequal: No Solution
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,65 unequal: No Solution
Exploring Operation: 64*3=192, Resulting Numbers: [192]
192,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[63, 2], Operations: ['46-14=32', '64/32=2']
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[14, 46, 63, 64], Operations: []
Exploring Operation: 46-14=32, Resulting Numbers: [63, 64, 32]
Generated Node #0,0: 65:[63, 64, 32] Operation: 46-14=32
Moving to Node #0,0
Current State: 65:[63, 64, 32], Operations: ['46-14=32']
Exploring Operation: 64/32=2, Resulting Numbers: [63, 2]
Generated Node #0,0,1: 65:[63, 2] Operation: 64/32=2
Moving to Node #0,0,1
Current State: 65:[63, 2], Operations: ['46-14=32', '64/32=2']
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 0.953993 | hs_4 | mult_heuristic |
[
80,
10,
76,
58
] | 64 | [
"80-10=70",
"76+58=134",
"134-70=64"
] | Current State: 64:[80, 10, 76, 58], Operations: []
Exploring Operation: 80-10=70, Resulting Numbers: [76, 58, 70]
Generated Node #2: [76, 58, 70] from Operation: 80-10=70
Current State: 64:[76, 58, 70], Operations: ['80-10=70']
Exploring Operation: 76+58=134, Resulting Numbers: [70, 134]
Generated Node #3: [70, 134] from Operation: 76+58=134
Current State: 64:[70, 134], Operations: ['80-10=70', '76+58=134']
Exploring Operation: 134-70=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[80, 10, 76, 58], Operations: []
Exploring Operation: 80-58=22, Resulting Numbers: [10, 76, 22]
Generated Node #0,0: 64:[10, 76, 22] Operation: 80-58=22
Exploring Operation: 80-76=4, Resulting Numbers: [10, 58, 4]
Generated Node #0,1: 64:[10, 58, 4] Operation: 80-76=4
Exploring Operation: 80/10=8, Resulting Numbers: [76, 58, 8]
Generated Node #0,2: 64:[76, 58, 8] Operation: 80/10=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[10, 58, 4], Operations: ['80-76=4']
Exploring Operation: 10+4=14, Resulting Numbers: [58, 14]
Generated Node #0,1,0: 64:[58, 14] Operation: 10+4=14
Exploring Operation: 58+4=62, Resulting Numbers: [10, 62]
Generated Node #0,1,1: 64:[10, 62] Operation: 58+4=62
Exploring Operation: 10+58=68, Resulting Numbers: [4, 68]
Generated Node #0,1,2: 64:[4, 68] Operation: 10+58=68
Moving to Node #0,1,1
Current State: 64:[10, 62], Operations: ['80-76=4', '58+4=62']
Exploring Operation: 10*62=620, Resulting Numbers: [620]
620,64 unequal: No Solution
Exploring Operation: 62-10=52, Resulting Numbers: [52]
52,64 unequal: No Solution
Exploring Operation: 10+62=72, Resulting Numbers: [72]
72,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[4, 68], Operations: ['80-76=4', '10+58=68']
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Exploring Operation: 4+68=72, Resulting Numbers: [72]
72,64 unequal: No Solution
Exploring Operation: 68-4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[80, 10, 76, 58], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [10, 58, 4]
Generated Node #0,1: 64:[10, 58, 4] Operation: 80-76=4
Moving to Node #0,1
Current State: 64:[10, 58, 4], Operations: ['80-76=4']
Exploring Operation: 10+58=68, Resulting Numbers: [4, 68]
Generated Node #0,1,2: 64:[4, 68] Operation: 10+58=68
Moving to Node #0,1,2
Current State: 64:[4, 68], Operations: ['80-76=4', '10+58=68']
Exploring Operation: 68-4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
18,
7,
9,
39
] | 25 | [
"18*7=126",
"126/9=14",
"39-14=25"
] | Current State: 25:[18, 7, 9, 39], Operations: []
Exploring Operation: 18*7=126, Resulting Numbers: [9, 39, 126]
Generated Node #2: [9, 39, 126] from Operation: 18*7=126
Current State: 25:[9, 39, 126], Operations: ['18*7=126']
Exploring Operation: 126/9=14, Resulting Numbers: [39, 14]
Generated Node #3: [39, 14] from Operation: 126/9=14
Current State: 25:[39, 14], Operations: ['18*7=126', '126/9=14']
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[18, 7, 9, 39], Operations: []
Exploring Operation: 39-18=21, Resulting Numbers: [7, 9, 21]
Generated Node #0,0: 25:[7, 9, 21] Operation: 39-18=21
Exploring Operation: 39-9=30, Resulting Numbers: [18, 7, 30]
Generated Node #0,1: 25:[18, 7, 30] Operation: 39-9=30
Exploring Operation: 18+7=25, Resulting Numbers: [9, 39, 25]
Generated Node #0,2: 25:[9, 39, 25] Operation: 18+7=25
Exploring Operation: 39-7=32, Resulting Numbers: [18, 9, 32]
Generated Node #0,3: 25:[18, 9, 32] Operation: 39-7=32
Exploring Operation: 18+9=27, Resulting Numbers: [7, 39, 27]
Generated Node #0,4: 25:[7, 39, 27] Operation: 18+9=27
Moving to Node #0,0
Current State: 25:[7, 9, 21], Operations: ['39-18=21']
Exploring Operation: 21-9=12, Resulting Numbers: [7, 12]
Generated Node #0,0,0: 25:[7, 12] Operation: 21-9=12
Exploring Operation: 21/7=3, Resulting Numbers: [9, 3]
Generated Node #0,0,1: 25:[9, 3] Operation: 21/7=3
Exploring Operation: 7+21=28, Resulting Numbers: [9, 28]
Generated Node #0,0,2: 25:[9, 28] Operation: 7+21=28
Exploring Operation: 9-7=2, Resulting Numbers: [21, 2]
Generated Node #0,0,3: 25:[21, 2] Operation: 9-7=2
Exploring Operation: 9+21=30, Resulting Numbers: [7, 30]
Generated Node #0,0,4: 25:[7, 30] Operation: 9+21=30
Moving to Node #0,1
Current State: 25:[18, 7, 30], Operations: ['39-9=30']
Exploring Operation: 7+30=37, Resulting Numbers: [18, 37]
Generated Node #0,1,0: 25:[18, 37] Operation: 7+30=37
Exploring Operation: 30-7=23, Resulting Numbers: [18, 23]
Generated Node #0,1,1: 25:[18, 23] Operation: 30-7=23
Exploring Operation: 18+7=25, Resulting Numbers: [30, 25]
Generated Node #0,1,2: 25:[30, 25] Operation: 18+7=25
Exploring Operation: 30-18=12, Resulting Numbers: [7, 12]
Generated Node #0,1,3: 25:[7, 12] Operation: 30-18=12
Exploring Operation: 18-7=11, Resulting Numbers: [30, 11]
Generated Node #0,1,4: 25:[30, 11] Operation: 18-7=11
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 25:[30, 25], Operations: ['39-9=30', '18+7=25']
Exploring Operation: 30*25=750, Resulting Numbers: [750]
750,25 unequal: No Solution
Exploring Operation: 30+25=55, Resulting Numbers: [55]
55,25 unequal: No Solution
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,25 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 #0,1,1
Current State: 25:[18, 23], Operations: ['39-9=30', '30-7=23']
Exploring Operation: 18*23=414, Resulting Numbers: [414]
414,25 unequal: No Solution
Exploring Operation: 18+23=41, Resulting Numbers: [41]
41,25 unequal: No Solution
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,25 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 #0,1,3
Current State: 25:[7, 12], Operations: ['39-9=30', '30-18=12']
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,25 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,25 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 #0,1,4
Current State: 25:[30, 11], Operations: ['39-9=30', '18-7=11']
Exploring Operation: 30*11=330, Resulting Numbers: [330]
330,25 unequal: No Solution
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,25 unequal: No Solution
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,25 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:[18, 37], Operations: ['39-9=30', '7+30=37']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Exploring Operation: 18*37=666, Resulting Numbers: [666]
666,25 unequal: No Solution
Exploring Operation: 18+37=55, Resulting Numbers: [55]
55,25 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: 25:[9, 39, 25], Operations: ['18+7=25']
Exploring Operation: 9+39=48, Resulting Numbers: [25, 48]
Generated Node #0,2,0: 25:[25, 48] Operation: 9+39=48
Exploring Operation: 39-25=14, Resulting Numbers: [9, 14]
Generated Node #0,2,1: 25:[9, 14] Operation: 39-25=14
Exploring Operation: 9+25=34, Resulting Numbers: [39, 34]
Generated Node #0,2,2: 25:[39, 34] Operation: 9+25=34
Exploring Operation: 25-9=16, Resulting Numbers: [39, 16]
Generated Node #0,2,3: 25:[39, 16] Operation: 25-9=16
Exploring Operation: 39-9=30, Resulting Numbers: [25, 30]
Generated Node #0,2,4: 25:[25, 30] Operation: 39-9=30
Moving to Node #0,3
Current State: 25:[18, 9, 32], Operations: ['39-7=32']
Exploring Operation: 32-9=23, Resulting Numbers: [18, 23]
Generated Node #0,3,0: 25:[18, 23] Operation: 32-9=23
Exploring Operation: 18+9=27, Resulting Numbers: [32, 27]
Generated Node #0,3,1: 25:[32, 27] Operation: 18+9=27
Exploring Operation: 18-9=9, Resulting Numbers: [32, 9]
Generated Node #0,3,2: 25:[32, 9] Operation: 18-9=9
Exploring Operation: 32-18=14, Resulting Numbers: [9, 14]
Generated Node #0,3,3: 25:[9, 14] Operation: 32-18=14
Exploring Operation: 18/9=2, Resulting Numbers: [32, 2]
Generated Node #0,3,4: 25:[32, 2] Operation: 18/9=2
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 25:[18, 23], Operations: ['39-7=32', '32-9=23']
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 18*23=414, Resulting Numbers: [414]
414,25 unequal: No Solution
Exploring Operation: 18+23=41, Resulting Numbers: [41]
41,25 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 #0,3,1
Current State: 25:[32, 27], Operations: ['39-7=32', '18+9=27']
Exploring Operation: 32*27=864, Resulting Numbers: [864]
864,25 unequal: No Solution
Exploring Operation: 32-27=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 32+27=59, Resulting Numbers: [59]
59,25 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 #0,3,4
Current State: 25:[32, 2], Operations: ['39-7=32', '18/9=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,25 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,25 unequal: No Solution
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,25 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 #0,3,2
Current State: 25:[32, 9], Operations: ['39-7=32', '18-9=9']
Exploring Operation: 32+9=41, Resulting Numbers: [41]
41,25 unequal: No Solution
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 32*9=288, Resulting Numbers: [288]
288,25 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 #0,3,3
Current State: 25:[9, 14], Operations: ['39-7=32', '32-18=14']
Exploring Operation: 9*14=126, Resulting Numbers: [126]
126,25 unequal: No Solution
Exploring Operation: 9+14=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,25 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: 25:[7, 39, 27], Operations: ['18+9=27']
Exploring Operation: 7+27=34, Resulting Numbers: [39, 34]
Generated Node #0,4,0: 25:[39, 34] Operation: 7+27=34
Exploring Operation: 39-7=32, Resulting Numbers: [27, 32]
Generated Node #0,4,1: 25:[27, 32] Operation: 39-7=32
Exploring Operation: 7+39=46, Resulting Numbers: [27, 46]
Generated Node #0,4,2: 25:[27, 46] Operation: 7+39=46
Exploring Operation: 27-7=20, Resulting Numbers: [39, 20]
Generated Node #0,4,3: 25:[39, 20] Operation: 27-7=20
Exploring Operation: 39-27=12, Resulting Numbers: [7, 12]
Generated Node #0,4,4: 25:[7, 12] Operation: 39-27=12
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 25:[27, 32], Operations: ['18+9=27', '39-7=32']
Exploring Operation: 27+32=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 32-27=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 27*32=864, Resulting Numbers: [864]
864,25 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 #0,4,4
Current State: 25:[7, 12], Operations: ['18+9=27', '39-27=12']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,25 unequal: No Solution
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,25 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 #0,4,3
Current State: 25:[39, 20], Operations: ['18+9=27', '27-7=20']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Exploring Operation: 39*20=780, Resulting Numbers: [780]
780,25 unequal: No Solution
Exploring Operation: 39+20=59, Resulting Numbers: [59]
59,25 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 #0,4,0
Current State: 25:[39, 34], Operations: ['18+9=27', '7+27=34']
Exploring Operation: 39-34=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 39*34=1326, Resulting Numbers: [1326]
1326,25 unequal: No Solution
Exploring Operation: 39+34=73, Resulting Numbers: [73]
73,25 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 #0,4,2
Current State: 25:[27, 46], Operations: ['18+9=27', '7+39=46']
Exploring Operation: 27*46=1242, Resulting Numbers: [1242]
1242,25 unequal: No Solution
Exploring Operation: 46-27=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Exploring Operation: 27+46=73, Resulting Numbers: [73]
73,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,4
Current State: 25:[25, 30], Operations: ['18+7=25', '39-9=30']
Exploring Operation: 25*30=750, Resulting Numbers: [750]
750,25 unequal: No Solution
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 25+30=55, Resulting Numbers: [55]
55,25 unequal: No Solution
Moving to Node #0,0,1
Current State: 25:[9, 3], Operations: ['39-18=21', '21/7=3']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,25 unequal: No Solution
Moving to Node #0,0,3
Current State: 25:[21, 2], Operations: ['39-18=21', '9-7=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,25 unequal: No Solution
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[9, 28], Operations: ['39-18=21', '7+21=28']
Exploring Operation: 9*28=252, Resulting Numbers: [252]
252,25 unequal: No Solution
Exploring Operation: 9+28=37, Resulting Numbers: [37]
37,25 unequal: No Solution
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Moving to Node #0,0,4
Current State: 25:[7, 30], Operations: ['39-18=21', '9+21=30']
Exploring Operation: 7+30=37, Resulting Numbers: [37]
37,25 unequal: No Solution
Exploring Operation: 7*30=210, Resulting Numbers: [210]
210,25 unequal: No Solution
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[7, 12], Operations: ['39-18=21', '21-9=12']
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,25 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[9, 14], Operations: ['18+7=25', '39-25=14']
Exploring Operation: 9+14=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 9*14=126, Resulting Numbers: [126]
126,25 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Moving to Node #0,2,3
Current State: 25:[39, 16], Operations: ['18+7=25', '25-9=16']
Exploring Operation: 39*16=624, Resulting Numbers: [624]
624,25 unequal: No Solution
Exploring Operation: 39+16=55, Resulting Numbers: [55]
55,25 unequal: No Solution
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[39, 34], Operations: ['18+7=25', '9+25=34']
Exploring Operation: 39*34=1326, Resulting Numbers: [1326]
1326,25 unequal: No Solution
Exploring Operation: 39-34=5, Resulting Numbers: [5]
5,25 unequal: No Solution
Exploring Operation: 39+34=73, Resulting Numbers: [73]
73,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[25, 48], Operations: ['18+7=25', '9+39=48']
Exploring Operation: 48-25=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 25*48=1200, Resulting Numbers: [1200]
1200,25 unequal: No Solution
Exploring Operation: 25+48=73, Resulting Numbers: [73]
73,25 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
76,
96,
60,
42
] | 38 | [
"96-76=20",
"60-42=18",
"20+18=38"
] | Current State: 38:[76, 96, 60, 42], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [60, 42, 20]
Generated Node #2: [60, 42, 20] from Operation: 96-76=20
Current State: 38:[60, 42, 20], Operations: ['96-76=20']
Exploring Operation: 60-42=18, Resulting Numbers: [20, 18]
Generated Node #3: [20, 18] from Operation: 60-42=18
Current State: 38:[20, 18], Operations: ['96-76=20', '60-42=18']
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[76, 96, 60, 42], Operations: []
Exploring Operation: 96-60=36, Resulting Numbers: [76, 42, 36]
Generated Node #0,0: 38:[76, 42, 36] Operation: 96-60=36
Exploring Operation: 96-76=20, Resulting Numbers: [60, 42, 20]
Generated Node #0,1: 38:[60, 42, 20] Operation: 96-76=20
Moving to Node #0,1
Current State: 38:[60, 42, 20], Operations: ['96-76=20']
Exploring Operation: 60/20=3, Resulting Numbers: [42, 3]
Generated Node #0,1,0: 38:[42, 3] Operation: 60/20=3
Exploring Operation: 60-42=18, Resulting Numbers: [20, 18]
Generated Node #0,1,1: 38:[20, 18] Operation: 60-42=18
Moving to Node #0,0
Current State: 38:[76, 42, 36], Operations: ['96-60=36']
Exploring Operation: 76-36=40, Resulting Numbers: [42, 40]
Generated Node #0,0,0: 38:[42, 40] Operation: 76-36=40
Exploring Operation: 76-42=34, Resulting Numbers: [36, 34]
Generated Node #0,0,1: 38:[36, 34] Operation: 76-42=34
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[42, 40], Operations: ['96-60=36', '76-36=40']
Exploring Operation: 42+40=82, Resulting Numbers: [82]
82,38 unequal: No Solution
Exploring Operation: 42-40=2, Resulting Numbers: [2]
2,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 38:[36, 34], Operations: ['96-60=36', '76-42=34']
Exploring Operation: 36-34=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Exploring Operation: 36+34=70, Resulting Numbers: [70]
70,38 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: 38:[20, 18], Operations: ['96-76=20', '60-42=18']
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[76, 96, 60, 42], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [60, 42, 20]
Generated Node #0,1: 38:[60, 42, 20] Operation: 96-76=20
Moving to Node #0,1
Current State: 38:[60, 42, 20], Operations: ['96-76=20']
Exploring Operation: 60-42=18, Resulting Numbers: [20, 18]
Generated Node #0,1,1: 38:[20, 18] Operation: 60-42=18
Moving to Node #0,1,1
Current State: 38:[20, 18], Operations: ['96-76=20', '60-42=18']
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 0.986111 | hs_2 | mult_heuristic |
[
38,
11,
4,
75
] | 88 | [
"38*4=152",
"75-11=64",
"152-64=88"
] | Current State: 88:[38, 11, 4, 75], Operations: []
Exploring Operation: 38*4=152, Resulting Numbers: [11, 75, 152]
Generated Node #2: [11, 75, 152] from Operation: 38*4=152
Current State: 88:[11, 75, 152], Operations: ['38*4=152']
Exploring Operation: 75-11=64, Resulting Numbers: [152, 64]
Generated Node #3: [152, 64] from Operation: 75-11=64
Current State: 88:[152, 64], Operations: ['38*4=152', '75-11=64']
Exploring Operation: 152-64=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[38, 11, 4, 75], Operations: []
Exploring Operation: 11+75=86, Resulting Numbers: [38, 4, 86]
Generated Node #0,0: 88:[38, 4, 86] Operation: 11+75=86
Exploring Operation: 75-38=37, Resulting Numbers: [11, 4, 37]
Generated Node #0,1: 88:[11, 4, 37] Operation: 75-38=37
Exploring Operation: 38+4=42, Resulting Numbers: [11, 75, 42]
Generated Node #0,2: 88:[11, 75, 42] Operation: 38+4=42
Exploring Operation: 4+75=79, Resulting Numbers: [38, 11, 79]
Generated Node #0,3: 88:[38, 11, 79] Operation: 4+75=79
Moving to Node #0,1
Current State: 88:[11, 4, 37], Operations: ['75-38=37']
Exploring Operation: 4+37=41, Resulting Numbers: [11, 41]
Generated Node #0,1,0: 88:[11, 41] Operation: 4+37=41
Exploring Operation: 37-11=26, Resulting Numbers: [4, 26]
Generated Node #0,1,1: 88:[4, 26] Operation: 37-11=26
Exploring Operation: 11+37=48, Resulting Numbers: [4, 48]
Generated Node #0,1,2: 88:[4, 48] Operation: 11+37=48
Exploring Operation: 11*4=44, Resulting Numbers: [37, 44]
Generated Node #0,1,3: 88:[37, 44] Operation: 11*4=44
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 88:[11, 41], Operations: ['75-38=37', '4+37=41']
Exploring Operation: 11*41=451, Resulting Numbers: [451]
451,88 unequal: No Solution
Exploring Operation: 11+41=52, Resulting Numbers: [52]
52,88 unequal: No Solution
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,88 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 #0,1,1
Current State: 88:[4, 26], Operations: ['75-38=37', '37-11=26']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,88 unequal: No Solution
Exploring Operation: 4*26=104, Resulting Numbers: [104]
104,88 unequal: No Solution
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,88 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:[4, 48], Operations: ['75-38=37', '11+37=48']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,88 unequal: No Solution
Exploring Operation: 4*48=192, Resulting Numbers: [192]
192,88 unequal: No Solution
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,88 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 88:[37, 44], Operations: ['75-38=37', '11*4=44']
Exploring Operation: 44-37=7, Resulting Numbers: [7]
7,88 unequal: No Solution
Exploring Operation: 37+44=81, Resulting Numbers: [81]
81,88 unequal: No Solution
Exploring Operation: 37*44=1628, Resulting Numbers: [1628]
1628,88 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: 88:[38, 4, 86], Operations: ['11+75=86']
Exploring Operation: 38+4=42, Resulting Numbers: [86, 42]
Generated Node #0,0,0: 88:[86, 42] Operation: 38+4=42
Exploring Operation: 86-38=48, Resulting Numbers: [4, 48]
Generated Node #0,0,1: 88:[4, 48] Operation: 86-38=48
Exploring Operation: 4+86=90, Resulting Numbers: [38, 90]
Generated Node #0,0,2: 88:[38, 90] Operation: 4+86=90
Exploring Operation: 38-4=34, Resulting Numbers: [86, 34]
Generated Node #0,0,3: 88:[86, 34] Operation: 38-4=34
Moving to Node #0,3
Current State: 88:[38, 11, 79], Operations: ['4+75=79']
Exploring Operation: 38-11=27, Resulting Numbers: [79, 27]
Generated Node #0,3,0: 88:[79, 27] Operation: 38-11=27
Exploring Operation: 79-38=41, Resulting Numbers: [11, 41]
Generated Node #0,3,1: 88:[11, 41] Operation: 79-38=41
Exploring Operation: 11+79=90, Resulting Numbers: [38, 90]
Generated Node #0,3,2: 88:[38, 90] Operation: 11+79=90
Exploring Operation: 38+11=49, Resulting Numbers: [79, 49]
Generated Node #0,3,3: 88:[79, 49] Operation: 38+11=49
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 88:[11, 41], Operations: ['4+75=79', '79-38=41']
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,88 unequal: No Solution
Exploring Operation: 11*41=451, Resulting Numbers: [451]
451,88 unequal: No Solution
Exploring Operation: 11+41=52, Resulting Numbers: [52]
52,88 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 #0,3,2
Current State: 88:[38, 90], Operations: ['4+75=79', '11+79=90']
Exploring Operation: 90-38=52, Resulting Numbers: [52]
52,88 unequal: No Solution
Exploring Operation: 38*90=3420, Resulting Numbers: [3420]
3420,88 unequal: No Solution
Exploring Operation: 38+90=128, Resulting Numbers: [128]
128,88 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 #0,3,0
Current State: 88:[79, 27], Operations: ['4+75=79', '38-11=27']
Exploring Operation: 79-27=52, Resulting Numbers: [52]
52,88 unequal: No Solution
Exploring Operation: 79+27=106, Resulting Numbers: [106]
106,88 unequal: No Solution
Exploring Operation: 79*27=2133, Resulting Numbers: [2133]
2133,88 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 #0,3,3
Current State: 88:[79, 49], Operations: ['4+75=79', '38+11=49']
Exploring Operation: 79-49=30, Resulting Numbers: [30]
30,88 unequal: No Solution
Exploring Operation: 79+49=128, Resulting Numbers: [128]
128,88 unequal: No Solution
Exploring Operation: 79*49=3871, Resulting Numbers: [3871]
3871,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 88:[11, 75, 42], Operations: ['38+4=42']
Exploring Operation: 11+42=53, Resulting Numbers: [75, 53]
Generated Node #0,2,0: 88:[75, 53] Operation: 11+42=53
Exploring Operation: 75-11=64, Resulting Numbers: [42, 64]
Generated Node #0,2,1: 88:[42, 64] Operation: 75-11=64
Exploring Operation: 11+75=86, Resulting Numbers: [42, 86]
Generated Node #0,2,2: 88:[42, 86] Operation: 11+75=86
Exploring Operation: 75-42=33, Resulting Numbers: [11, 33]
Generated Node #0,2,3: 88:[11, 33] Operation: 75-42=33
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 88:[42, 86], Operations: ['38+4=42', '11+75=86']
Exploring Operation: 42*86=3612, Resulting Numbers: [3612]
3612,88 unequal: No Solution
Exploring Operation: 42+86=128, Resulting Numbers: [128]
128,88 unequal: No Solution
Exploring Operation: 86-42=44, Resulting Numbers: [44]
44,88 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:[11, 33], Operations: ['38+4=42', '75-42=33']
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,88 unequal: No Solution
Exploring Operation: 11*33=363, Resulting Numbers: [363]
363,88 unequal: No Solution
Exploring Operation: 11+33=44, Resulting Numbers: [44]
44,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 88:[75, 53], Operations: ['38+4=42', '11+42=53']
Exploring Operation: 75*53=3975, Resulting Numbers: [3975]
3975,88 unequal: No Solution
Exploring Operation: 75+53=128, Resulting Numbers: [128]
128,88 unequal: No Solution
Exploring Operation: 75-53=22, Resulting Numbers: [22]
22,88 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:[42, 64], Operations: ['38+4=42', '75-11=64']
Exploring Operation: 42+64=106, Resulting Numbers: [106]
106,88 unequal: No Solution
Exploring Operation: 64-42=22, Resulting Numbers: [22]
22,88 unequal: No Solution
Exploring Operation: 42*64=2688, Resulting Numbers: [2688]
2688,88 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: 88:[86, 42], Operations: ['11+75=86', '38+4=42']
Exploring Operation: 86-42=44, Resulting Numbers: [44]
44,88 unequal: No Solution
Exploring Operation: 86*42=3612, Resulting Numbers: [3612]
3612,88 unequal: No Solution
Exploring Operation: 86+42=128, Resulting Numbers: [128]
128,88 unequal: No Solution
Moving to Node #0,0,1
Current State: 88:[4, 48], Operations: ['11+75=86', '86-38=48']
Exploring Operation: 4*48=192, Resulting Numbers: [192]
192,88 unequal: No Solution
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,88 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,88 unequal: No Solution
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,88 unequal: No Solution
Moving to Node #0,0,2
Current State: 88:[38, 90], Operations: ['11+75=86', '4+86=90']
Exploring Operation: 38+90=128, Resulting Numbers: [128]
128,88 unequal: No Solution
Exploring Operation: 90-38=52, Resulting Numbers: [52]
52,88 unequal: No Solution
Exploring Operation: 38*90=3420, Resulting Numbers: [3420]
3420,88 unequal: No Solution
Moving to Node #0,0,3
Current State: 88:[86, 34], Operations: ['11+75=86', '38-4=34']
Exploring Operation: 86*34=2924, Resulting Numbers: [2924]
2924,88 unequal: No Solution
Exploring Operation: 86-34=52, Resulting Numbers: [52]
52,88 unequal: No Solution
Exploring Operation: 86+34=120, Resulting Numbers: [120]
120,88 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
44,
73,
44,
26
] | 100 | [
"44/44=1",
"73+26=99",
"1+99=100"
] | Current State: 100:[44, 73, 44, 26], Operations: []
Exploring Operation: 44/44=1, Resulting Numbers: [73, 26, 1]
Generated Node #2: [73, 26, 1] from Operation: 44/44=1
Current State: 100:[73, 26, 1], Operations: ['44/44=1']
Exploring Operation: 73+26=99, Resulting Numbers: [1, 99]
Generated Node #3: [1, 99] from Operation: 73+26=99
Current State: 100:[1, 99], Operations: ['44/44=1', '73+26=99']
Exploring Operation: 1+99=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[44, 73, 44, 26], Operations: []
Exploring Operation: 73-44=29, Resulting Numbers: [44, 26, 29]
Generated Node #0,0: 100:[44, 26, 29] Operation: 73-44=29
Exploring Operation: 73-26=47, Resulting Numbers: [44, 44, 47]
Generated Node #0,1: 100:[44, 44, 47] Operation: 73-26=47
Exploring Operation: 73-44=29, Resulting Numbers: [44, 26, 29]
Generated Node #0,2: 100:[44, 26, 29] Operation: 73-44=29
Exploring Operation: 73+26=99, Resulting Numbers: [44, 44, 99]
Generated Node #0,3: 100:[44, 44, 99] Operation: 73+26=99
Moving to Node #0,0
Current State: 100:[44, 26, 29], Operations: ['73-44=29']
Exploring Operation: 44-26=18, Resulting Numbers: [29, 18]
Generated Node #0,0,0: 100:[29, 18] Operation: 44-26=18
Exploring Operation: 29-26=3, Resulting Numbers: [44, 3]
Generated Node #0,0,1: 100:[44, 3] Operation: 29-26=3
Exploring Operation: 44-29=15, Resulting Numbers: [26, 15]
Generated Node #0,0,2: 100:[26, 15] Operation: 44-29=15
Exploring Operation: 26+29=55, Resulting Numbers: [44, 55]
Generated Node #0,0,3: 100:[44, 55] Operation: 26+29=55
Moving to Node #0,2
Current State: 100:[44, 26, 29], Operations: ['73-44=29']
Exploring Operation: 29-26=3, Resulting Numbers: [44, 3]
Generated Node #0,2,0: 100:[44, 3] Operation: 29-26=3
Exploring Operation: 44-29=15, Resulting Numbers: [26, 15]
Generated Node #0,2,1: 100:[26, 15] Operation: 44-29=15
Exploring Operation: 44-26=18, Resulting Numbers: [29, 18]
Generated Node #0,2,2: 100:[29, 18] Operation: 44-26=18
Exploring Operation: 26+29=55, Resulting Numbers: [44, 55]
Generated Node #0,2,3: 100:[44, 55] Operation: 26+29=55
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 100:[26, 15], Operations: ['73-44=29', '44-29=15']
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,100 unequal: No Solution
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 26*15=390, Resulting Numbers: [390]
390,100 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 #0,2,2
Current State: 100:[29, 18], Operations: ['73-44=29', '44-26=18']
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 29+18=47, Resulting Numbers: [47]
47,100 unequal: No Solution
Exploring Operation: 29*18=522, Resulting Numbers: [522]
522,100 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 #0,2,0
Current State: 100:[44, 3], Operations: ['73-44=29', '29-26=3']
Exploring Operation: 44*3=132, Resulting Numbers: [132]
132,100 unequal: No Solution
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,100 unequal: No Solution
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,100 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 #0,2,3
Current State: 100:[44, 55], Operations: ['73-44=29', '26+29=55']
Exploring Operation: 44+55=99, Resulting Numbers: [99]
99,100 unequal: No Solution
Exploring Operation: 44*55=2420, Resulting Numbers: [2420]
2420,100 unequal: No Solution
Exploring Operation: 55-44=11, Resulting Numbers: [11]
11,100 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: 100:[44, 44, 99], Operations: ['73+26=99']
Exploring Operation: 99-44=55, Resulting Numbers: [44, 55]
Generated Node #0,3,0: 100:[44, 55] Operation: 99-44=55
Exploring Operation: 44-44=0, Resulting Numbers: [99, 0]
Generated Node #0,3,1: 100:[99, 0] Operation: 44-44=0
Exploring Operation: 44/44=1, Resulting Numbers: [99, 1]
Generated Node #0,3,2: 100:[99, 1] Operation: 44/44=1
Exploring Operation: 99-44=55, Resulting Numbers: [44, 55]
Generated Node #0,3,3: 100:[44, 55] Operation: 99-44=55
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 100:[99, 1], Operations: ['73+26=99', '44/44=1']
Exploring Operation: 99/1=99, Resulting Numbers: [99]
99,100 unequal: No Solution
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,100 unequal: No Solution
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[44, 73, 44, 26], Operations: []
Exploring Operation: 73+26=99, Resulting Numbers: [44, 44, 99]
Generated Node #0,3: 100:[44, 44, 99] Operation: 73+26=99
Moving to Node #0,3
Current State: 100:[44, 44, 99], Operations: ['73+26=99']
Exploring Operation: 44/44=1, Resulting Numbers: [99, 1]
Generated Node #0,3,2: 100:[99, 1] Operation: 44/44=1
Moving to Node #0,3,2
Current State: 100:[99, 1], Operations: ['73+26=99', '44/44=1']
Exploring Operation: 99+1=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_4 | sum_heuristic |
[
91,
45,
74,
2
] | 73 | [
"91-74=17",
"45*2=90",
"90-17=73"
] | Current State: 73:[91, 45, 74, 2], Operations: []
Exploring Operation: 91-74=17, Resulting Numbers: [45, 2, 17]
Generated Node #2: [45, 2, 17] from Operation: 91-74=17
Current State: 73:[45, 2, 17], Operations: ['91-74=17']
Exploring Operation: 45*2=90, Resulting Numbers: [17, 90]
Generated Node #3: [17, 90] from Operation: 45*2=90
Current State: 73:[17, 90], Operations: ['91-74=17', '45*2=90']
Exploring Operation: 90-17=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[91, 45, 74, 2], Operations: []
Exploring Operation: 91-2=89, Resulting Numbers: [45, 74, 89]
Generated Node #0,0: 73:[45, 74, 89] Operation: 91-2=89
Exploring Operation: 45*2=90, Resulting Numbers: [91, 74, 90]
Generated Node #0,1: 73:[91, 74, 90] Operation: 45*2=90
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[91, 74, 90], Operations: ['45*2=90']
Exploring Operation: 91-90=1, Resulting Numbers: [74, 1]
Generated Node #0,1,0: 73:[74, 1] Operation: 91-90=1
Exploring Operation: 91-74=17, Resulting Numbers: [90, 17]
Generated Node #0,1,1: 73:[90, 17] Operation: 91-74=17
Moving to Node #0,1,0
Current State: 73:[74, 1], Operations: ['45*2=90', '91-90=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[91, 45, 74, 2], Operations: []
Exploring Operation: 45*2=90, Resulting Numbers: [91, 74, 90]
Generated Node #0,1: 73:[91, 74, 90] Operation: 45*2=90
Moving to Node #0,1
Current State: 73:[91, 74, 90], Operations: ['45*2=90']
Exploring Operation: 91-90=1, Resulting Numbers: [74, 1]
Generated Node #0,1,0: 73:[74, 1] Operation: 91-90=1
Moving to Node #0,1,0
Current State: 73:[74, 1], Operations: ['45*2=90', '91-90=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
30,
21,
69,
23
] | 84 | [
"23-21=2",
"30/2=15",
"69+15=84"
] | Current State: 84:[30, 21, 69, 23], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [30, 69, 2]
Generated Node #2: [30, 69, 2] from Operation: 23-21=2
Current State: 84:[30, 69, 2], Operations: ['23-21=2']
Exploring Operation: 30/2=15, Resulting Numbers: [69, 15]
Generated Node #3: [69, 15] from Operation: 30/2=15
Current State: 84:[69, 15], Operations: ['23-21=2', '30/2=15']
Exploring Operation: 69+15=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[30, 21, 69, 23], Operations: []
Exploring Operation: 69-23=46, Resulting Numbers: [30, 21, 46]
Generated Node #0,0: 84:[30, 21, 46] Operation: 69-23=46
Exploring Operation: 69-30=39, Resulting Numbers: [21, 23, 39]
Generated Node #0,1: 84:[21, 23, 39] Operation: 69-30=39
Exploring Operation: 69/23=3, Resulting Numbers: [30, 21, 3]
Generated Node #0,2: 84:[30, 21, 3] Operation: 69/23=3
Exploring Operation: 21+69=90, Resulting Numbers: [30, 23, 90]
Generated Node #0,3: 84:[30, 23, 90] Operation: 21+69=90
Moving to Node #0,2
Current State: 84:[30, 21, 3], Operations: ['69/23=3']
Exploring Operation: 21/3=7, Resulting Numbers: [30, 7]
Generated Node #0,2,0: 84:[30, 7] Operation: 21/3=7
Exploring Operation: 30-3=27, Resulting Numbers: [21, 27]
Generated Node #0,2,1: 84:[21, 27] Operation: 30-3=27
Exploring Operation: 30-21=9, Resulting Numbers: [3, 9]
Generated Node #0,2,2: 84:[3, 9] Operation: 30-21=9
Exploring Operation: 30/3=10, Resulting Numbers: [21, 10]
Generated Node #0,2,3: 84:[21, 10] Operation: 30/3=10
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 84:[21, 27], Operations: ['69/23=3', '30-3=27']
Exploring Operation: 21+27=48, Resulting Numbers: [48]
48,84 unequal: No Solution
Exploring Operation: 27-21=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 21*27=567, Resulting Numbers: [567]
567,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 84:[30, 7], Operations: ['69/23=3', '21/3=7']
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,84 unequal: No Solution
Exploring Operation: 30*7=210, Resulting Numbers: [210]
210,84 unequal: No Solution
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 84:[3, 9], Operations: ['69/23=3', '30-21=9']
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,84 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 84:[21, 10], Operations: ['69/23=3', '30/3=10']
Exploring Operation: 21*10=210, Resulting Numbers: [210]
210,84 unequal: No Solution
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,84 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 84:[21, 23, 39], Operations: ['69-30=39']
Exploring Operation: 23-21=2, Resulting Numbers: [39, 2]
Generated Node #0,1,0: 84:[39, 2] Operation: 23-21=2
Exploring Operation: 39-23=16, Resulting Numbers: [21, 16]
Generated Node #0,1,1: 84:[21, 16] Operation: 39-23=16
Exploring Operation: 39-21=18, Resulting Numbers: [23, 18]
Generated Node #0,1,2: 84:[23, 18] Operation: 39-21=18
Exploring Operation: 21+23=44, Resulting Numbers: [39, 44]
Generated Node #0,1,3: 84:[39, 44] Operation: 21+23=44
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 84:[21, 16], Operations: ['69-30=39', '39-23=16']
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,84 unequal: No Solution
Exploring Operation: 21*16=336, Resulting Numbers: [336]
336,84 unequal: No Solution
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 84:[39, 2], Operations: ['69-30=39', '23-21=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,84 unequal: No Solution
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,84 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 84:[23, 18], Operations: ['69-30=39', '39-21=18']
Exploring Operation: 23*18=414, Resulting Numbers: [414]
414,84 unequal: No Solution
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 23+18=41, Resulting Numbers: [41]
41,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 84:[39, 44], Operations: ['69-30=39', '21+23=44']
Exploring Operation: 44-39=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 39*44=1716, Resulting Numbers: [1716]
1716,84 unequal: No Solution
Exploring Operation: 39+44=83, Resulting Numbers: [83]
83,84 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: 84:[30, 21, 46], Operations: ['69-23=46']
Exploring Operation: 46-21=25, Resulting Numbers: [30, 25]
Generated Node #0,0,0: 84:[30, 25] Operation: 46-21=25
Exploring Operation: 30+46=76, Resulting Numbers: [21, 76]
Generated Node #0,0,1: 84:[21, 76] Operation: 30+46=76
Exploring Operation: 46-30=16, Resulting Numbers: [21, 16]
Generated Node #0,0,2: 84:[21, 16] Operation: 46-30=16
Exploring Operation: 30-21=9, Resulting Numbers: [46, 9]
Generated Node #0,0,3: 84:[46, 9] Operation: 30-21=9
Moving to Node #0,3
Current State: 84:[30, 23, 90], Operations: ['21+69=90']
Exploring Operation: 30-23=7, Resulting Numbers: [90, 7]
Generated Node #0,3,0: 84:[90, 7] Operation: 30-23=7
Exploring Operation: 30+23=53, Resulting Numbers: [90, 53]
Generated Node #0,3,1: 84:[90, 53] Operation: 30+23=53
Exploring Operation: 90/30=3, Resulting Numbers: [23, 3]
Generated Node #0,3,2: 84:[23, 3] Operation: 90/30=3
Exploring Operation: 90-23=67, Resulting Numbers: [30, 67]
Generated Node #0,3,3: 84:[30, 67] Operation: 90-23=67
Moving to Node #0,0,2
Current State: 84:[21, 16], Operations: ['69-23=46', '46-30=16']
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,84 unequal: No Solution
Exploring Operation: 21*16=336, Resulting Numbers: [336]
336,84 unequal: No Solution
Moving to Node #0,3,2
Current State: 84:[23, 3], Operations: ['21+69=90', '90/30=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,84 unequal: No Solution
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Moving to Node #0,0,0
Current State: 84:[30, 25], Operations: ['69-23=46', '46-21=25']
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 30*25=750, Resulting Numbers: [750]
750,84 unequal: No Solution
Exploring Operation: 30+25=55, Resulting Numbers: [55]
55,84 unequal: No Solution
Moving to Node #0,0,3
Current State: 84:[46, 9], Operations: ['69-23=46', '30-21=9']
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,84 unequal: No Solution
Exploring Operation: 46*9=414, Resulting Numbers: [414]
414,84 unequal: No Solution
Exploring Operation: 46+9=55, Resulting Numbers: [55]
55,84 unequal: No Solution
Moving to Node #0,3,0
Current State: 84:[90, 7], Operations: ['21+69=90', '30-23=7']
Exploring Operation: 90*7=630, Resulting Numbers: [630]
630,84 unequal: No Solution
Exploring Operation: 90-7=83, Resulting Numbers: [83]
83,84 unequal: No Solution
Exploring Operation: 90+7=97, Resulting Numbers: [97]
97,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[21, 76], Operations: ['69-23=46', '30+46=76']
Exploring Operation: 21+76=97, Resulting Numbers: [97]
97,84 unequal: No Solution
Exploring Operation: 76-21=55, Resulting Numbers: [55]
55,84 unequal: No Solution
Exploring Operation: 21*76=1596, Resulting Numbers: [1596]
1596,84 unequal: No Solution
Moving to Node #0,3,1
Current State: 84:[90, 53], Operations: ['21+69=90', '30+23=53']
Exploring Operation: 90*53=4770, Resulting Numbers: [4770]
4770,84 unequal: No Solution
Exploring Operation: 90+53=143, Resulting Numbers: [143]
143,84 unequal: No Solution
Exploring Operation: 90-53=37, Resulting Numbers: [37]
37,84 unequal: No Solution
Moving to Node #0,3,3
Current State: 84:[30, 67], Operations: ['21+69=90', '90-23=67']
Exploring Operation: 30+67=97, Resulting Numbers: [97]
97,84 unequal: No Solution
Exploring Operation: 30*67=2010, Resulting Numbers: [2010]
2010,84 unequal: No Solution
Exploring Operation: 67-30=37, Resulting Numbers: [37]
37,84 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
19,
69,
46,
38
] | 76 | [
"69*38=2622",
"2622/46=57",
"19+57=76"
] | Current State: 76:[19, 69, 46, 38], Operations: []
Exploring Operation: 69*38=2622, Resulting Numbers: [19, 46, 2622]
Generated Node #2: [19, 46, 2622] from Operation: 69*38=2622
Current State: 76:[19, 46, 2622], Operations: ['69*38=2622']
Exploring Operation: 2622/46=57, Resulting Numbers: [19, 57]
Generated Node #3: [19, 57] from Operation: 2622/46=57
Current State: 76:[19, 57], Operations: ['69*38=2622', '2622/46=57']
Exploring Operation: 19+57=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[19, 69, 46, 38], Operations: []
Exploring Operation: 69-46=23, Resulting Numbers: [19, 38, 23]
Generated Node #0,0: 76:[19, 38, 23] Operation: 69-46=23
Exploring Operation: 46-38=8, Resulting Numbers: [19, 69, 8]
Generated Node #0,1: 76:[19, 69, 8] Operation: 46-38=8
Exploring Operation: 46-19=27, Resulting Numbers: [69, 38, 27]
Generated Node #0,2: 76:[69, 38, 27] Operation: 46-19=27
Moving to Node #0,0
Current State: 76:[19, 38, 23], Operations: ['69-46=23']
Exploring Operation: 23-19=4, Resulting Numbers: [38, 4]
Generated Node #0,0,0: 76:[38, 4] Operation: 23-19=4
Exploring Operation: 38/19=2, Resulting Numbers: [23, 2]
Generated Node #0,0,1: 76:[23, 2] Operation: 38/19=2
Exploring Operation: 38-19=19, Resulting Numbers: [23, 19]
Generated Node #0,0,2: 76:[23, 19] Operation: 38-19=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[38, 4], Operations: ['69-46=23', '23-19=4']
Exploring Operation: 38*4=152, Resulting Numbers: [152]
152,76 unequal: No Solution
Exploring Operation: 38+4=42, Resulting Numbers: [42]
42,76 unequal: No Solution
Exploring Operation: 38-4=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 #0,0,1
Current State: 76:[23, 2], Operations: ['69-46=23', '38/19=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,76 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,76 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 76:[23, 19], Operations: ['69-46=23', '38-19=19']
Exploring Operation: 23*19=437, Resulting Numbers: [437]
437,76 unequal: No Solution
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 23+19=42, Resulting Numbers: [42]
42,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 76:[19, 69, 8], Operations: ['46-38=8']
Exploring Operation: 69+8=77, Resulting Numbers: [19, 77]
Generated Node #0,1,0: 76:[19, 77] Operation: 69+8=77
Exploring Operation: 19+8=27, Resulting Numbers: [69, 27]
Generated Node #0,1,1: 76:[69, 27] Operation: 19+8=27
Exploring Operation: 19-8=11, Resulting Numbers: [69, 11]
Generated Node #0,1,2: 76:[69, 11] Operation: 19-8=11
Moving to Node #0,2
Current State: 76:[69, 38, 27], Operations: ['46-19=27']
Exploring Operation: 69-38=31, Resulting Numbers: [27, 31]
Generated Node #0,2,0: 76:[27, 31] Operation: 69-38=31
Exploring Operation: 69-27=42, Resulting Numbers: [38, 42]
Generated Node #0,2,1: 76:[38, 42] Operation: 69-27=42
Exploring Operation: 38-27=11, Resulting Numbers: [69, 11]
Generated Node #0,2,2: 76:[69, 11] Operation: 38-27=11
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 76:[38, 42], Operations: ['46-19=27', '69-27=42']
Exploring Operation: 38*42=1596, Resulting Numbers: [1596]
1596,76 unequal: No Solution
Exploring Operation: 42-38=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 38+42=80, Resulting Numbers: [80]
80,76 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 #0,2,2
Current State: 76:[69, 11], Operations: ['46-19=27', '38-27=11']
Exploring Operation: 69*11=759, Resulting Numbers: [759]
759,76 unequal: No Solution
Exploring Operation: 69+11=80, Resulting Numbers: [80]
80,76 unequal: No Solution
Exploring Operation: 69-11=58, Resulting Numbers: [58]
58,76 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 #0,2,0
Current State: 76:[27, 31], Operations: ['46-19=27', '69-38=31']
Exploring Operation: 27*31=837, Resulting Numbers: [837]
837,76 unequal: No Solution
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 27+31=58, Resulting Numbers: [58]
58,76 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: 76:[19, 77], Operations: ['46-38=8', '69+8=77']
Exploring Operation: 19*77=1463, Resulting Numbers: [1463]
1463,76 unequal: No Solution
Exploring Operation: 19+77=96, Resulting Numbers: [96]
96,76 unequal: No Solution
Exploring Operation: 77-19=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[69, 11], Operations: ['46-38=8', '19-8=11']
Exploring Operation: 69-11=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Exploring Operation: 69*11=759, Resulting Numbers: [759]
759,76 unequal: No Solution
Exploring Operation: 69+11=80, Resulting Numbers: [80]
80,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[69, 27], Operations: ['46-38=8', '19+8=27']
Exploring Operation: 69*27=1863, Resulting Numbers: [1863]
1863,76 unequal: No Solution
Exploring Operation: 69+27=96, Resulting Numbers: [96]
96,76 unequal: No Solution
Exploring Operation: 69-27=42, Resulting Numbers: [42]
42,76 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
31,
61,
40,
1
] | 70 | [
"61-31=30",
"40*1=40",
"30+40=70"
] | Current State: 70:[31, 61, 40, 1], Operations: []
Exploring Operation: 61-31=30, Resulting Numbers: [40, 1, 30]
Generated Node #2: [40, 1, 30] from Operation: 61-31=30
Current State: 70:[40, 1, 30], Operations: ['61-31=30']
Exploring Operation: 40*1=40, Resulting Numbers: [30, 40]
Generated Node #3: [30, 40] from Operation: 40*1=40
Current State: 70:[30, 40], Operations: ['61-31=30', '40*1=40']
Exploring Operation: 30+40=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[31, 61, 40, 1], Operations: []
Exploring Operation: 61-31=30, Resulting Numbers: [40, 1, 30]
Generated Node #0,0: 70:[40, 1, 30] Operation: 61-31=30
Moving to Node #0,0
Current State: 70:[40, 1, 30], Operations: ['61-31=30']
Exploring Operation: 40+30=70, Resulting Numbers: [1, 70]
Generated Node #0,0,0: 70:[1, 70] Operation: 40+30=70
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[1, 70], Operations: ['61-31=30', '40+30=70']
Exploring Operation: 1*70=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[31, 61, 40, 1], Operations: []
Exploring Operation: 61-31=30, Resulting Numbers: [40, 1, 30]
Generated Node #0,0: 70:[40, 1, 30] Operation: 61-31=30
Moving to Node #0,0
Current State: 70:[40, 1, 30], Operations: ['61-31=30']
Exploring Operation: 40+30=70, Resulting Numbers: [1, 70]
Generated Node #0,0,0: 70:[1, 70] Operation: 40+30=70
Moving to Node #0,0,0
Current State: 70:[1, 70], Operations: ['61-31=30', '40+30=70']
Exploring Operation: 1*70=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
71,
29,
56,
71
] | 85 | [
"71+29=100",
"71-56=15",
"100-15=85"
] | Current State: 85:[71, 29, 56, 71], Operations: []
Exploring Operation: 71+29=100, Resulting Numbers: [56, 100]
Generated Node #2: [56, 100] from Operation: 71+29=100
Current State: 85:[56, 100], Operations: ['71+29=100']
Exploring Operation: 71-56=15, Resulting Numbers: [100, 15]
Generated Node #3: [100, 15] from Operation: 71-56=15
Current State: 85:[100, 15], Operations: ['71+29=100', '71-56=15']
Exploring Operation: 100-15=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[71, 29, 56, 71], Operations: []
Exploring Operation: 29+56=85, Resulting Numbers: [71, 71, 85]
Generated Node #0,0: 85:[71, 71, 85] Operation: 29+56=85
Exploring Operation: 71-56=15, Resulting Numbers: [71, 29, 15]
Generated Node #0,1: 85:[71, 29, 15] Operation: 71-56=15
Exploring Operation: 71-56=15, Resulting Numbers: [29, 71, 15]
Generated Node #0,2: 85:[29, 71, 15] Operation: 71-56=15
Moving to Node #0,0
Current State: 85:[71, 71, 85], Operations: ['29+56=85']
Exploring Operation: 71-71=0, Resulting Numbers: [85, 0]
Generated Node #0,0,0: 85:[85, 0] Operation: 71-71=0
Exploring Operation: 71/71=1, Resulting Numbers: [85, 1]
Generated Node #0,0,1: 85:[85, 1] Operation: 71/71=1
Exploring Operation: 85-71=14, Resulting Numbers: [71, 14]
Generated Node #0,0,2: 85:[71, 14] Operation: 85-71=14
Moving to Node #0,1
Current State: 85:[71, 29, 15], Operations: ['71-56=15']
Exploring Operation: 71+15=86, Resulting Numbers: [29, 86]
Generated Node #0,1,0: 85:[29, 86] Operation: 71+15=86
Exploring Operation: 29-15=14, Resulting Numbers: [71, 14]
Generated Node #0,1,1: 85:[71, 14] Operation: 29-15=14
Exploring Operation: 71+29=100, Resulting Numbers: [15, 100]
Generated Node #0,1,2: 85:[15, 100] Operation: 71+29=100
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 85:[29, 86], Operations: ['71-56=15', '71+15=86']
Exploring Operation: 29*86=2494, Resulting Numbers: [2494]
2494,85 unequal: No Solution
Exploring Operation: 29+86=115, Resulting Numbers: [115]
115,85 unequal: No Solution
Exploring Operation: 86-29=57, Resulting Numbers: [57]
57,85 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:[71, 14], Operations: ['71-56=15', '29-15=14']
Exploring Operation: 71*14=994, Resulting Numbers: [994]
994,85 unequal: No Solution
Exploring Operation: 71-14=57, Resulting Numbers: [57]
57,85 unequal: No Solution
Exploring Operation: 71+14=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[71, 29, 56, 71], Operations: []
Exploring Operation: 71-56=15, Resulting Numbers: [71, 29, 15]
Generated Node #0,1: 85:[71, 29, 15] Operation: 71-56=15
Moving to Node #0,1
Current State: 85:[71, 29, 15], Operations: ['71-56=15']
Exploring Operation: 29-15=14, Resulting Numbers: [71, 14]
Generated Node #0,1,1: 85:[71, 14] Operation: 29-15=14
Moving to Node #0,1,1
Current State: 85:[71, 14], Operations: ['71-56=15', '29-15=14']
Exploring Operation: 71+14=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
63,
72,
31,
18
] | 90 | [
"63+31=94",
"72/18=4",
"94-4=90"
] | Current State: 90:[63, 72, 31, 18], Operations: []
Exploring Operation: 63+31=94, Resulting Numbers: [72, 18, 94]
Generated Node #2: [72, 18, 94] from Operation: 63+31=94
Current State: 90:[72, 18, 94], Operations: ['63+31=94']
Exploring Operation: 72/18=4, Resulting Numbers: [94, 4]
Generated Node #3: [94, 4] from Operation: 72/18=4
Current State: 90:[94, 4], Operations: ['63+31=94', '72/18=4']
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[63, 72, 31, 18], Operations: []
Exploring Operation: 72-63=9, Resulting Numbers: [31, 18, 9]
Generated Node #0,0: 90:[31, 18, 9] Operation: 72-63=9
Exploring Operation: 63-18=45, Resulting Numbers: [72, 31, 45]
Generated Node #0,1: 90:[72, 31, 45] Operation: 63-18=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[31, 18, 9], Operations: ['72-63=9']
Exploring Operation: 18/9=2, Resulting Numbers: [31, 2]
Generated Node #0,0,0: 90:[31, 2] Operation: 18/9=2
Exploring Operation: 18-9=9, Resulting Numbers: [31, 9]
Generated Node #0,0,1: 90:[31, 9] Operation: 18-9=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[31, 2], Operations: ['72-63=9', '18/9=2']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,90 unequal: No Solution
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 90:[31, 9], Operations: ['72-63=9', '18-9=9']
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,90 unequal: No Solution
Exploring Operation: 31+9=40, Resulting Numbers: [40]
40,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[72, 31, 45], Operations: ['63-18=45']
Exploring Operation: 72-45=27, Resulting Numbers: [31, 27]
Generated Node #0,1,0: 90:[31, 27] Operation: 72-45=27
Exploring Operation: 72-31=41, Resulting Numbers: [45, 41]
Generated Node #0,1,1: 90:[45, 41] Operation: 72-31=41
Moving to Node #0,1,0
Current State: 90:[31, 27], Operations: ['63-18=45', '72-45=27']
Exploring Operation: 31+27=58, Resulting Numbers: [58]
58,90 unequal: No Solution
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[45, 41], Operations: ['63-18=45', '72-31=41']
Exploring Operation: 45-41=4, Resulting Numbers: [4]
4,90 unequal: No Solution
Exploring Operation: 45+41=86, Resulting Numbers: [86]
86,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
79,
84,
12,
1
] | 59 | [
"84-79=5",
"12*5=60",
"60-1=59"
] | Current State: 59:[79, 84, 12, 1], Operations: []
Exploring Operation: 84-79=5, Resulting Numbers: [12, 1, 5]
Generated Node #2: [12, 1, 5] from Operation: 84-79=5
Current State: 59:[12, 1, 5], Operations: ['84-79=5']
Exploring Operation: 12*5=60, Resulting Numbers: [1, 60]
Generated Node #3: [1, 60] from Operation: 12*5=60
Current State: 59:[1, 60], Operations: ['84-79=5', '12*5=60']
Exploring Operation: 60-1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[79, 84, 12, 1], Operations: []
Exploring Operation: 84-12=72, Resulting Numbers: [79, 1, 72]
Generated Node #0,0: 59:[79, 1, 72] Operation: 84-12=72
Exploring Operation: 79-1=78, Resulting Numbers: [84, 12, 78]
Generated Node #0,1: 59:[84, 12, 78] Operation: 79-1=78
Exploring Operation: 79-12=67, Resulting Numbers: [84, 1, 67]
Generated Node #0,2: 59:[84, 1, 67] Operation: 79-12=67
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[79, 1, 72], Operations: ['84-12=72']
Exploring Operation: 79-1=78, Resulting Numbers: [72, 78]
Generated Node #0,0,0: 59:[72, 78] Operation: 79-1=78
Exploring Operation: 72-1=71, Resulting Numbers: [79, 71]
Generated Node #0,0,1: 59:[79, 71] Operation: 72-1=71
Exploring Operation: 79*1=79, Resulting Numbers: [72, 79]
Generated Node #0,0,2: 59:[72, 79] Operation: 79*1=79
Moving to Node #0,0,0
Current State: 59:[72, 78], Operations: ['84-12=72', '79-1=78']
Exploring Operation: 72*78=5616, Resulting Numbers: [5616]
5616,59 unequal: No Solution
Exploring Operation: 78-72=6, Resulting Numbers: [6]
6,59 unequal: No Solution
Exploring Operation: 72+78=150, Resulting Numbers: [150]
150,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[79, 71], Operations: ['84-12=72', '72-1=71']
Exploring Operation: 79*71=5609, Resulting Numbers: [5609]
5609,59 unequal: No Solution
Exploring Operation: 79-71=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 79+71=150, Resulting Numbers: [150]
150,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[72, 79], Operations: ['84-12=72', '79*1=79']
Exploring Operation: 72+79=151, Resulting Numbers: [151]
151,59 unequal: No Solution
Exploring Operation: 72*79=5688, Resulting Numbers: [5688]
5688,59 unequal: No Solution
Exploring Operation: 79-72=7, Resulting Numbers: [7]
7,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[84, 12, 78], Operations: ['79-1=78']
Exploring Operation: 84-12=72, Resulting Numbers: [78, 72]
Generated Node #0,1,0: 59:[78, 72] Operation: 84-12=72
Exploring Operation: 84+12=96, Resulting Numbers: [78, 96]
Generated Node #0,1,1: 59:[78, 96] Operation: 84+12=96
Exploring Operation: 78-12=66, Resulting Numbers: [84, 66]
Generated Node #0,1,2: 59:[84, 66] Operation: 78-12=66
Moving to Node #0,1,0
Current State: 59:[78, 72], Operations: ['79-1=78', '84-12=72']
Exploring Operation: 78*72=5616, Resulting Numbers: [5616]
5616,59 unequal: No Solution
Exploring Operation: 78-72=6, Resulting Numbers: [6]
6,59 unequal: No Solution
Exploring Operation: 78+72=150, Resulting Numbers: [150]
150,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[84, 66], Operations: ['79-1=78', '78-12=66']
Exploring Operation: 84*66=5544, Resulting Numbers: [5544]
5544,59 unequal: No Solution
Exploring Operation: 84+66=150, Resulting Numbers: [150]
150,59 unequal: No Solution
Exploring Operation: 84-66=18, Resulting Numbers: [18]
18,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[78, 96], Operations: ['79-1=78', '84+12=96']
Exploring Operation: 96-78=18, Resulting Numbers: [18]
18,59 unequal: No Solution
Exploring Operation: 78+96=174, Resulting Numbers: [174]
174,59 unequal: No Solution
Exploring Operation: 78*96=7488, Resulting Numbers: [7488]
7488,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 59:[84, 1, 67], Operations: ['79-12=67']
Exploring Operation: 67-1=66, Resulting Numbers: [84, 66]
Generated Node #0,2,0: 59:[84, 66] Operation: 67-1=66
Exploring Operation: 84*1=84, Resulting Numbers: [67, 84]
Generated Node #0,2,1: 59:[67, 84] Operation: 84*1=84
Exploring Operation: 84-1=83, Resulting Numbers: [67, 83]
Generated Node #0,2,2: 59:[67, 83] Operation: 84-1=83
Moving to Node #0,2,0
Current State: 59:[84, 66], Operations: ['79-12=67', '67-1=66']
Exploring Operation: 84-66=18, Resulting Numbers: [18]
18,59 unequal: No Solution
Exploring Operation: 84*66=5544, Resulting Numbers: [5544]
5544,59 unequal: No Solution
Exploring Operation: 84+66=150, Resulting Numbers: [150]
150,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[67, 83], Operations: ['79-12=67', '84-1=83']
Exploring Operation: 67+83=150, Resulting Numbers: [150]
150,59 unequal: No Solution
Exploring Operation: 83-67=16, Resulting Numbers: [16]
16,59 unequal: No Solution
Exploring Operation: 67*83=5561, Resulting Numbers: [5561]
5561,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[67, 84], Operations: ['79-12=67', '84*1=84']
Exploring Operation: 67+84=151, Resulting Numbers: [151]
151,59 unequal: No Solution
Exploring Operation: 84-67=17, Resulting Numbers: [17]
17,59 unequal: No Solution
Exploring Operation: 67*84=5628, Resulting Numbers: [5628]
5628,59 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 |
[
98,
4,
91,
14
] | 52 | [
"98/14=7",
"4*91=364",
"364/7=52"
] | Current State: 52:[98, 4, 91, 14], Operations: []
Exploring Operation: 98/14=7, Resulting Numbers: [4, 91, 7]
Generated Node #2: [4, 91, 7] from Operation: 98/14=7
Current State: 52:[4, 91, 7], Operations: ['98/14=7']
Exploring Operation: 4*91=364, Resulting Numbers: [7, 364]
Generated Node #3: [7, 364] from Operation: 4*91=364
Current State: 52:[7, 364], Operations: ['98/14=7', '4*91=364']
Exploring Operation: 364/7=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[98, 4, 91, 14], Operations: []
Exploring Operation: 98-91=7, Resulting Numbers: [4, 14, 7]
Generated Node #0,0: 52:[4, 14, 7] Operation: 98-91=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[4, 14, 7], Operations: ['98-91=7']
Exploring Operation: 14/7=2, Resulting Numbers: [4, 2]
Generated Node #0,0,0: 52:[4, 2] Operation: 14/7=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[4, 2], Operations: ['98-91=7', '14/7=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
46,
12,
20,
87
] | 73 | [
"46-12=34",
"20+87=107",
"107-34=73"
] | Current State: 73:[46, 12, 20, 87], Operations: []
Exploring Operation: 46-12=34, Resulting Numbers: [20, 87, 34]
Generated Node #2: [20, 87, 34] from Operation: 46-12=34
Current State: 73:[20, 87, 34], Operations: ['46-12=34']
Exploring Operation: 20+87=107, Resulting Numbers: [34, 107]
Generated Node #3: [34, 107] from Operation: 20+87=107
Current State: 73:[34, 107], Operations: ['46-12=34', '20+87=107']
Exploring Operation: 107-34=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[46, 12, 20, 87], Operations: []
Exploring Operation: 12+20=32, Resulting Numbers: [46, 87, 32]
Generated Node #0,0: 73:[46, 87, 32] Operation: 12+20=32
Exploring Operation: 46+20=66, Resulting Numbers: [12, 87, 66]
Generated Node #0,1: 73:[12, 87, 66] Operation: 46+20=66
Exploring Operation: 46+12=58, Resulting Numbers: [20, 87, 58]
Generated Node #0,2: 73:[20, 87, 58] Operation: 46+12=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[46, 87, 32], Operations: ['12+20=32']
Exploring Operation: 46+32=78, Resulting Numbers: [87, 78]
Generated Node #0,0,0: 73:[87, 78] Operation: 46+32=78
Exploring Operation: 87-32=55, Resulting Numbers: [46, 55]
Generated Node #0,0,1: 73:[46, 55] Operation: 87-32=55
Exploring Operation: 87-46=41, Resulting Numbers: [32, 41]
Generated Node #0,0,2: 73:[32, 41] Operation: 87-46=41
Moving to Node #0,0,0
Current State: 73:[87, 78], Operations: ['12+20=32', '46+32=78']
Exploring Operation: 87-78=9, Resulting Numbers: [9]
9,73 unequal: No Solution
Exploring Operation: 87+78=165, Resulting Numbers: [165]
165,73 unequal: No Solution
Exploring Operation: 87*78=6786, Resulting Numbers: [6786]
6786,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[46, 55], Operations: ['12+20=32', '87-32=55']
Exploring Operation: 55-46=9, Resulting Numbers: [9]
9,73 unequal: No Solution
Exploring Operation: 46*55=2530, Resulting Numbers: [2530]
2530,73 unequal: No Solution
Exploring Operation: 46+55=101, Resulting Numbers: [101]
101,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[32, 41], Operations: ['12+20=32', '87-46=41']
Exploring Operation: 32*41=1312, Resulting Numbers: [1312]
1312,73 unequal: No Solution
Exploring Operation: 32+41=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[46, 12, 20, 87], Operations: []
Exploring Operation: 12+20=32, Resulting Numbers: [46, 87, 32]
Generated Node #0,0: 73:[46, 87, 32] Operation: 12+20=32
Moving to Node #0,0
Current State: 73:[46, 87, 32], Operations: ['12+20=32']
Exploring Operation: 87-46=41, Resulting Numbers: [32, 41]
Generated Node #0,0,2: 73:[32, 41] Operation: 87-46=41
Moving to Node #0,0,2
Current State: 73:[32, 41], Operations: ['12+20=32', '87-46=41']
Exploring Operation: 32+41=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | sum_heuristic |
[
94,
37,
37,
36
] | 56 | [
"94-37=57",
"37-36=1",
"57-1=56"
] | Current State: 56:[94, 37, 37, 36], Operations: []
Exploring Operation: 94-37=57, Resulting Numbers: [36, 57]
Generated Node #2: [36, 57] from Operation: 94-37=57
Current State: 56:[36, 57], Operations: ['94-37=57']
Exploring Operation: 37-36=1, Resulting Numbers: [57, 1]
Generated Node #3: [57, 1] from Operation: 37-36=1
Current State: 56:[57, 1], Operations: ['94-37=57', '37-36=1']
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[94, 37, 37, 36], Operations: []
Exploring Operation: 94-37=57, Resulting Numbers: [37, 36, 57]
Generated Node #0,0: 56:[37, 36, 57] Operation: 94-37=57
Exploring Operation: 94-37=57, Resulting Numbers: [37, 36, 57]
Generated Node #0,1: 56:[37, 36, 57] Operation: 94-37=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[37, 36, 57], Operations: ['94-37=57']
Exploring Operation: 37-36=1, Resulting Numbers: [57, 1]
Generated Node #0,0,0: 56:[57, 1] Operation: 37-36=1
Exploring Operation: 57-37=20, Resulting Numbers: [36, 20]
Generated Node #0,0,1: 56:[36, 20] Operation: 57-37=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 56:[57, 1], Operations: ['94-37=57', '37-36=1']
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[94, 37, 37, 36], Operations: []
Exploring Operation: 94-37=57, Resulting Numbers: [37, 36, 57]
Generated Node #0,0: 56:[37, 36, 57] Operation: 94-37=57
Moving to Node #0,0
Current State: 56:[37, 36, 57], Operations: ['94-37=57']
Exploring Operation: 37-36=1, Resulting Numbers: [57, 1]
Generated Node #0,0,0: 56:[57, 1] Operation: 37-36=1
Moving to Node #0,0,0
Current State: 56:[57, 1], Operations: ['94-37=57', '37-36=1']
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
29,
6,
22,
10
] | 94 | [
"10-6=4",
"29*4=116",
"116-22=94"
] | Current State: 94:[29, 6, 22, 10], Operations: []
Exploring Operation: 10-6=4, Resulting Numbers: [29, 22, 4]
Generated Node #2: [29, 22, 4] from Operation: 10-6=4
Current State: 94:[29, 22, 4], Operations: ['10-6=4']
Exploring Operation: 29*4=116, Resulting Numbers: [22, 116]
Generated Node #3: [22, 116] from Operation: 29*4=116
Current State: 94:[22, 116], Operations: ['10-6=4', '29*4=116']
Exploring Operation: 116-22=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[29, 6, 22, 10], Operations: []
Exploring Operation: 29+22=51, Resulting Numbers: [6, 10, 51]
Generated Node #0,0: 94:[6, 10, 51] Operation: 29+22=51
Exploring Operation: 22+10=32, Resulting Numbers: [29, 6, 32]
Generated Node #0,1: 94:[29, 6, 32] Operation: 22+10=32
Exploring Operation: 22-10=12, Resulting Numbers: [29, 6, 12]
Generated Node #0,2: 94:[29, 6, 12] Operation: 22-10=12
Exploring Operation: 29+10=39, Resulting Numbers: [6, 22, 39]
Generated Node #0,3: 94:[6, 22, 39] Operation: 29+10=39
Exploring Operation: 29-22=7, Resulting Numbers: [6, 10, 7]
Generated Node #0,4: 94:[6, 10, 7] Operation: 29-22=7
Moving to Node #0,0
Current State: 94:[6, 10, 51], Operations: ['29+22=51']
Exploring Operation: 6*10=60, Resulting Numbers: [51, 60]
Generated Node #0,0,0: 94:[51, 60] Operation: 6*10=60
Exploring Operation: 51-6=45, Resulting Numbers: [10, 45]
Generated Node #0,0,1: 94:[10, 45] Operation: 51-6=45
Exploring Operation: 51-10=41, Resulting Numbers: [6, 41]
Generated Node #0,0,2: 94:[6, 41] Operation: 51-10=41
Exploring Operation: 10-6=4, Resulting Numbers: [51, 4]
Generated Node #0,0,3: 94:[51, 4] Operation: 10-6=4
Exploring Operation: 6+10=16, Resulting Numbers: [51, 16]
Generated Node #0,0,4: 94:[51, 16] Operation: 6+10=16
Moving to Node #0,4
Current State: 94:[6, 10, 7], Operations: ['29-22=7']
Exploring Operation: 6*10=60, Resulting Numbers: [7, 60]
Generated Node #0,4,0: 94:[7, 60] Operation: 6*10=60
Exploring Operation: 7-6=1, Resulting Numbers: [10, 1]
Generated Node #0,4,1: 94:[10, 1] Operation: 7-6=1
Exploring Operation: 10-7=3, Resulting Numbers: [6, 3]
Generated Node #0,4,2: 94:[6, 3] Operation: 10-7=3
Exploring Operation: 10-6=4, Resulting Numbers: [7, 4]
Generated Node #0,4,3: 94:[7, 4] Operation: 10-6=4
Exploring Operation: 6*7=42, Resulting Numbers: [10, 42]
Generated Node #0,4,4: 94:[10, 42] Operation: 6*7=42
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 94:[6, 3], Operations: ['29-22=7', '10-7=3']
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,94 unequal: No Solution
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,94 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 #0,4,3
Current State: 94:[7, 4], Operations: ['29-22=7', '10-6=4']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,94 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,94 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 #0,4,1
Current State: 94:[10, 1], Operations: ['29-22=7', '7-6=1']
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,94 unequal: No Solution
Exploring Operation: 10/1=10, Resulting Numbers: [10]
10,94 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 #0,4,4
Current State: 94:[10, 42], Operations: ['29-22=7', '6*7=42']
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,94 unequal: No Solution
Exploring Operation: 10*42=420, Resulting Numbers: [420]
420,94 unequal: No Solution
Exploring Operation: 10+42=52, Resulting Numbers: [52]
52,94 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 #0,4,0
Current State: 94:[7, 60], Operations: ['29-22=7', '6*10=60']
Exploring Operation: 7*60=420, Resulting Numbers: [420]
420,94 unequal: No Solution
Exploring Operation: 7+60=67, Resulting Numbers: [67]
67,94 unequal: No Solution
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,94 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: 94:[29, 6, 12], Operations: ['22-10=12']
Exploring Operation: 29-12=17, Resulting Numbers: [6, 17]
Generated Node #0,2,0: 94:[6, 17] Operation: 29-12=17
Exploring Operation: 29+6=35, Resulting Numbers: [12, 35]
Generated Node #0,2,1: 94:[12, 35] Operation: 29+6=35
Exploring Operation: 29+12=41, Resulting Numbers: [6, 41]
Generated Node #0,2,2: 94:[6, 41] Operation: 29+12=41
Exploring Operation: 12-6=6, Resulting Numbers: [29, 6]
Generated Node #0,2,3: 94:[29, 6] Operation: 12-6=6
Exploring Operation: 12/6=2, Resulting Numbers: [29, 2]
Generated Node #0,2,4: 94:[29, 2] Operation: 12/6=2
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 94:[6, 41], Operations: ['22-10=12', '29+12=41']
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,94 unequal: No Solution
Exploring Operation: 6+41=47, Resulting Numbers: [47]
47,94 unequal: No Solution
Exploring Operation: 6*41=246, Resulting Numbers: [246]
246,94 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 #0,2,4
Current State: 94:[29, 2], Operations: ['22-10=12', '12/6=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,94 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,94 unequal: No Solution
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,94 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 #0,2,0
Current State: 94:[6, 17], Operations: ['22-10=12', '29-12=17']
Exploring Operation: 6*17=102, Resulting Numbers: [102]
102,94 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,94 unequal: No Solution
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,94 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 #0,2,1
Current State: 94:[12, 35], Operations: ['22-10=12', '29+6=35']
Exploring Operation: 35-12=23, Resulting Numbers: [23]
23,94 unequal: No Solution
Exploring Operation: 12*35=420, Resulting Numbers: [420]
420,94 unequal: No Solution
Exploring Operation: 12+35=47, Resulting Numbers: [47]
47,94 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 #0,2,3
Current State: 94:[29, 6], Operations: ['22-10=12', '12-6=6']
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,94 unequal: No Solution
Exploring Operation: 29*6=174, Resulting Numbers: [174]
174,94 unequal: No Solution
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,94 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: 94:[6, 22, 39], Operations: ['29+10=39']
Exploring Operation: 22-6=16, Resulting Numbers: [39, 16]
Generated Node #0,3,0: 94:[39, 16] Operation: 22-6=16
Exploring Operation: 6+39=45, Resulting Numbers: [22, 45]
Generated Node #0,3,1: 94:[22, 45] Operation: 6+39=45
Exploring Operation: 22+39=61, Resulting Numbers: [6, 61]
Generated Node #0,3,2: 94:[6, 61] Operation: 22+39=61
Exploring Operation: 6+22=28, Resulting Numbers: [39, 28]
Generated Node #0,3,3: 94:[39, 28] Operation: 6+22=28
Exploring Operation: 39-22=17, Resulting Numbers: [6, 17]
Generated Node #0,3,4: 94:[6, 17] Operation: 39-22=17
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 94:[6, 61], Operations: ['29+10=39', '22+39=61']
Exploring Operation: 6*61=366, Resulting Numbers: [366]
366,94 unequal: No Solution
Exploring Operation: 6+61=67, Resulting Numbers: [67]
67,94 unequal: No Solution
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 94:[6, 17], Operations: ['29+10=39', '39-22=17']
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,94 unequal: No Solution
Exploring Operation: 6*17=102, Resulting Numbers: [102]
102,94 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 94:[39, 16], Operations: ['29+10=39', '22-6=16']
Exploring Operation: 39*16=624, Resulting Numbers: [624]
624,94 unequal: No Solution
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,94 unequal: No Solution
Exploring Operation: 39+16=55, Resulting Numbers: [55]
55,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 94:[22, 45], Operations: ['29+10=39', '6+39=45']
Exploring Operation: 22+45=67, Resulting Numbers: [67]
67,94 unequal: No Solution
Exploring Operation: 22*45=990, Resulting Numbers: [990]
990,94 unequal: No Solution
Exploring Operation: 45-22=23, Resulting Numbers: [23]
23,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 94:[39, 28], Operations: ['29+10=39', '6+22=28']
Exploring Operation: 39-28=11, Resulting Numbers: [11]
11,94 unequal: No Solution
Exploring Operation: 39*28=1092, Resulting Numbers: [1092]
1092,94 unequal: No Solution
Exploring Operation: 39+28=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:[29, 6, 32], Operations: ['22+10=32']
Exploring Operation: 6+32=38, Resulting Numbers: [29, 38]
Generated Node #0,1,0: 94:[29, 38] Operation: 6+32=38
Exploring Operation: 29+6=35, Resulting Numbers: [32, 35]
Generated Node #0,1,1: 94:[32, 35] Operation: 29+6=35
Exploring Operation: 29+32=61, Resulting Numbers: [6, 61]
Generated Node #0,1,2: 94:[6, 61] Operation: 29+32=61
Exploring Operation: 29-6=23, Resulting Numbers: [32, 23]
Generated Node #0,1,3: 94:[32, 23] Operation: 29-6=23
Exploring Operation: 32-29=3, Resulting Numbers: [6, 3]
Generated Node #0,1,4: 94:[6, 3] Operation: 32-29=3
Moving to Node #0,1,4
Current State: 94:[6, 3], Operations: ['22+10=32', '32-29=3']
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,94 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,94 unequal: No Solution
Moving to Node #0,0,3
Current State: 94:[51, 4], Operations: ['29+22=51', '10-6=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,94 unequal: No Solution
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,94 unequal: No Solution
Exploring Operation: 51*4=204, Resulting Numbers: [204]
204,94 unequal: No Solution
Moving to Node #0,0,2
Current State: 94:[6, 41], Operations: ['29+22=51', '51-10=41']
Exploring Operation: 6+41=47, Resulting Numbers: [47]
47,94 unequal: No Solution
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,94 unequal: No Solution
Exploring Operation: 6*41=246, Resulting Numbers: [246]
246,94 unequal: No Solution
Moving to Node #0,0,1
Current State: 94:[10, 45], Operations: ['29+22=51', '51-6=45']
Exploring Operation: 10+45=55, Resulting Numbers: [55]
55,94 unequal: No Solution
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,94 unequal: No Solution
Exploring Operation: 10*45=450, Resulting Numbers: [450]
450,94 unequal: No Solution
Moving to Node #0,0,0
Current State: 94:[51, 60], Operations: ['29+22=51', '6*10=60']
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Exploring Operation: 51+60=111, Resulting Numbers: [111]
111,94 unequal: No Solution
Exploring Operation: 51*60=3060, Resulting Numbers: [3060]
3060,94 unequal: No Solution
Moving to Node #0,1,2
Current State: 94:[6, 61], Operations: ['22+10=32', '29+32=61']
Exploring Operation: 6+61=67, Resulting Numbers: [67]
67,94 unequal: No Solution
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,94 unequal: No Solution
Exploring Operation: 6*61=366, Resulting Numbers: [366]
366,94 unequal: No Solution
Moving to Node #0,0,4
Current State: 94:[51, 16], Operations: ['29+22=51', '6+10=16']
Exploring Operation: 51-16=35, Resulting Numbers: [35]
35,94 unequal: No Solution
Exploring Operation: 51+16=67, Resulting Numbers: [67]
67,94 unequal: No Solution
Exploring Operation: 51*16=816, Resulting Numbers: [816]
816,94 unequal: No Solution
Moving to Node #0,1,0
Current State: 94:[29, 38], Operations: ['22+10=32', '6+32=38']
Exploring Operation: 29+38=67, Resulting Numbers: [67]
67,94 unequal: No Solution
Exploring Operation: 29*38=1102, Resulting Numbers: [1102]
1102,94 unequal: No Solution
Exploring Operation: 38-29=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Moving to Node #0,1,1
Current State: 94:[32, 35], Operations: ['22+10=32', '29+6=35']
Exploring Operation: 32+35=67, Resulting Numbers: [67]
67,94 unequal: No Solution
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 32*35=1120, Resulting Numbers: [1120]
1120,94 unequal: No Solution
Moving to Node #0,1,3
Current State: 94:[32, 23], Operations: ['22+10=32', '29-6=23']
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Exploring Operation: 32*23=736, Resulting Numbers: [736]
736,94 unequal: No Solution
Exploring Operation: 32+23=55, Resulting Numbers: [55]
55,94 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
27,
8,
4,
67
] | 44 | [
"27-8=19",
"67-4=63",
"63-19=44"
] | Current State: 44:[27, 8, 4, 67], Operations: []
Exploring Operation: 27-8=19, Resulting Numbers: [4, 67, 19]
Generated Node #2: [4, 67, 19] from Operation: 27-8=19
Current State: 44:[4, 67, 19], Operations: ['27-8=19']
Exploring Operation: 67-4=63, Resulting Numbers: [19, 63]
Generated Node #3: [19, 63] from Operation: 67-4=63
Current State: 44:[19, 63], Operations: ['27-8=19', '67-4=63']
Exploring Operation: 63-19=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[27, 8, 4, 67], Operations: []
Exploring Operation: 27-4=23, Resulting Numbers: [8, 67, 23]
Generated Node #0,0: 44:[8, 67, 23] Operation: 27-4=23
Exploring Operation: 67-4=63, Resulting Numbers: [27, 8, 63]
Generated Node #0,1: 44:[27, 8, 63] Operation: 67-4=63
Exploring Operation: 67-8=59, Resulting Numbers: [27, 4, 59]
Generated Node #0,2: 44:[27, 4, 59] Operation: 67-8=59
Exploring Operation: 27-8=19, Resulting Numbers: [4, 67, 19]
Generated Node #0,3: 44:[4, 67, 19] Operation: 27-8=19
Exploring Operation: 67-27=40, Resulting Numbers: [8, 4, 40]
Generated Node #0,4: 44:[8, 4, 40] Operation: 67-27=40
Moving to Node #0,4
Current State: 44:[8, 4, 40], Operations: ['67-27=40']
Exploring Operation: 40/8=5, Resulting Numbers: [4, 5]
Generated Node #0,4,0: 44:[4, 5] Operation: 40/8=5
Exploring Operation: 8+40=48, Resulting Numbers: [4, 48]
Generated Node #0,4,1: 44:[4, 48] Operation: 8+40=48
Exploring Operation: 8/4=2, Resulting Numbers: [40, 2]
Generated Node #0,4,2: 44:[40, 2] Operation: 8/4=2
Exploring Operation: 8-4=4, Resulting Numbers: [40, 4]
Generated Node #0,4,3: 44:[40, 4] Operation: 8-4=4
Exploring Operation: 4+40=44, Resulting Numbers: [8, 44]
Generated Node #0,4,4: 44:[8, 44] Operation: 4+40=44
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 44:[4, 5], Operations: ['67-27=40', '40/8=5']
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,44 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,44 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 #0,4,4
Current State: 44:[8, 44], Operations: ['67-27=40', '4+40=44']
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,44 unequal: No Solution
Exploring Operation: 8*44=352, Resulting Numbers: [352]
352,44 unequal: No Solution
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,44 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 #0,4,1
Current State: 44:[4, 48], Operations: ['67-27=40', '8+40=48']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[27, 8, 4, 67], Operations: []
Exploring Operation: 67-27=40, Resulting Numbers: [8, 4, 40]
Generated Node #0,4: 44:[8, 4, 40] Operation: 67-27=40
Moving to Node #0,4
Current State: 44:[8, 4, 40], Operations: ['67-27=40']
Exploring Operation: 8+40=48, Resulting Numbers: [4, 48]
Generated Node #0,4,1: 44:[4, 48] Operation: 8+40=48
Moving to Node #0,4,1
Current State: 44:[4, 48], Operations: ['67-27=40', '8+40=48']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
6,
42,
36,
16
] | 15 | [
"42-6=36",
"36/36=1",
"16-1=15"
] | Current State: 15:[6, 42, 36, 16], Operations: []
Exploring Operation: 42-6=36, Resulting Numbers: [36, 16, 36]
Generated Node #2: [36, 16, 36] from Operation: 42-6=36
Current State: 15:[36, 16, 36], Operations: ['42-6=36']
Exploring Operation: 36/36=1, Resulting Numbers: [16, 1]
Generated Node #3: [16, 1] from Operation: 36/36=1
Current State: 15:[16, 1], Operations: ['42-6=36', '36/36=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[6, 42, 36, 16], Operations: []
Exploring Operation: 42-36=6, Resulting Numbers: [6, 16, 6]
Generated Node #0,0: 15:[6, 16, 6] Operation: 42-36=6
Exploring Operation: 36/6=6, Resulting Numbers: [42, 16, 6]
Generated Node #0,1: 15:[42, 16, 6] Operation: 36/6=6
Exploring Operation: 42/6=7, Resulting Numbers: [36, 16, 7]
Generated Node #0,2: 15:[36, 16, 7] Operation: 42/6=7
Exploring Operation: 42-16=26, Resulting Numbers: [6, 36, 26]
Generated Node #0,3: 15:[6, 36, 26] Operation: 42-16=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[6, 16, 6], Operations: ['42-36=6']
Exploring Operation: 6/6=1, Resulting Numbers: [16, 1]
Generated Node #0,0,0: 15:[16, 1] Operation: 6/6=1
Exploring Operation: 6+6=12, Resulting Numbers: [16, 12]
Generated Node #0,0,1: 15:[16, 12] Operation: 6+6=12
Exploring Operation: 16-6=10, Resulting Numbers: [6, 10]
Generated Node #0,0,2: 15:[6, 10] Operation: 16-6=10
Exploring Operation: 6-6=0, Resulting Numbers: [16, 0]
Generated Node #0,0,3: 15:[16, 0] Operation: 6-6=0
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[16, 1], Operations: ['42-36=6', '6/6=1']
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,15 unequal: No Solution
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,15 unequal: No Solution
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,15 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[6, 42, 36, 16], Operations: []
Exploring Operation: 42-36=6, Resulting Numbers: [6, 16, 6]
Generated Node #0,0: 15:[6, 16, 6] Operation: 42-36=6
Moving to Node #0,0
Current State: 15:[6, 16, 6], Operations: ['42-36=6']
Exploring Operation: 6/6=1, Resulting Numbers: [16, 1]
Generated Node #0,0,0: 15:[16, 1] Operation: 6/6=1
Moving to Node #0,0,0
Current State: 15:[16, 1], Operations: ['42-36=6', '6/6=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
4,
61,
94,
21
] | 71 | [
"4*21=84",
"61+94=155",
"155-84=71"
] | Current State: 71:[4, 61, 94, 21], Operations: []
Exploring Operation: 4*21=84, Resulting Numbers: [61, 94, 84]
Generated Node #2: [61, 94, 84] from Operation: 4*21=84
Current State: 71:[61, 94, 84], Operations: ['4*21=84']
Exploring Operation: 61+94=155, Resulting Numbers: [84, 155]
Generated Node #3: [84, 155] from Operation: 61+94=155
Current State: 71:[84, 155], Operations: ['4*21=84', '61+94=155']
Exploring Operation: 155-84=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[4, 61, 94, 21], Operations: []
Exploring Operation: 4+61=65, Resulting Numbers: [94, 21, 65]
Generated Node #0,0: 71:[94, 21, 65] Operation: 4+61=65
Exploring Operation: 4*21=84, Resulting Numbers: [61, 94, 84]
Generated Node #0,1: 71:[61, 94, 84] Operation: 4*21=84
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[61, 94, 84], Operations: ['4*21=84']
Exploring Operation: 84-61=23, Resulting Numbers: [94, 23]
Generated Node #0,1,0: 71:[94, 23] Operation: 84-61=23
Exploring Operation: 94-61=33, Resulting Numbers: [84, 33]
Generated Node #0,1,1: 71:[84, 33] Operation: 94-61=33
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 71:[84, 33], Operations: ['4*21=84', '94-61=33']
Exploring Operation: 84-33=51, Resulting Numbers: [51]
51,71 unequal: No Solution
Exploring Operation: 84+33=117, Resulting Numbers: [117]
117,71 unequal: No Solution
No 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: 71:[94, 23], Operations: ['4*21=84', '84-61=23']
Exploring Operation: 94-23=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[4, 61, 94, 21], Operations: []
Exploring Operation: 4*21=84, Resulting Numbers: [61, 94, 84]
Generated Node #0,1: 71:[61, 94, 84] Operation: 4*21=84
Moving to Node #0,1
Current State: 71:[61, 94, 84], Operations: ['4*21=84']
Exploring Operation: 84-61=23, Resulting Numbers: [94, 23]
Generated Node #0,1,0: 71:[94, 23] Operation: 84-61=23
Moving to Node #0,1,0
Current State: 71:[94, 23], Operations: ['4*21=84', '84-61=23']
Exploring Operation: 94-23=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
16,
74,
54,
85
] | 81 | [
"74-16=58",
"54+85=139",
"139-58=81"
] | Current State: 81:[16, 74, 54, 85], Operations: []
Exploring Operation: 74-16=58, Resulting Numbers: [54, 85, 58]
Generated Node #2: [54, 85, 58] from Operation: 74-16=58
Current State: 81:[54, 85, 58], Operations: ['74-16=58']
Exploring Operation: 54+85=139, Resulting Numbers: [58, 139]
Generated Node #3: [58, 139] from Operation: 54+85=139
Current State: 81:[58, 139], Operations: ['74-16=58', '54+85=139']
Exploring Operation: 139-58=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[16, 74, 54, 85], Operations: []
Exploring Operation: 54-16=38, Resulting Numbers: [74, 85, 38]
Generated Node #0,0: 81:[74, 85, 38] Operation: 54-16=38
Exploring Operation: 16+54=70, Resulting Numbers: [74, 85, 70]
Generated Node #0,1: 81:[74, 85, 70] Operation: 16+54=70
Exploring Operation: 74-54=20, Resulting Numbers: [16, 85, 20]
Generated Node #0,2: 81:[16, 85, 20] Operation: 74-54=20
Exploring Operation: 85-54=31, Resulting Numbers: [16, 74, 31]
Generated Node #0,3: 81:[16, 74, 31] Operation: 85-54=31
Start Sub Search at level 1: Moving to Node #0,2
Current State: 81:[16, 85, 20], Operations: ['74-54=20']
Exploring Operation: 85-16=69, Resulting Numbers: [20, 69]
Generated Node #0,2,0: 81:[20, 69] Operation: 85-16=69
Exploring Operation: 85-20=65, Resulting Numbers: [16, 65]
Generated Node #0,2,1: 81:[16, 65] Operation: 85-20=65
Exploring Operation: 16+20=36, Resulting Numbers: [85, 36]
Generated Node #0,2,2: 81:[85, 36] Operation: 16+20=36
Exploring Operation: 20-16=4, Resulting Numbers: [85, 4]
Generated Node #0,2,3: 81:[85, 4] Operation: 20-16=4
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 81:[85, 4], Operations: ['74-54=20', '20-16=4']
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[16, 74, 54, 85], Operations: []
Exploring Operation: 74-54=20, Resulting Numbers: [16, 85, 20]
Generated Node #0,2: 81:[16, 85, 20] Operation: 74-54=20
Moving to Node #0,2
Current State: 81:[16, 85, 20], Operations: ['74-54=20']
Exploring Operation: 20-16=4, Resulting Numbers: [85, 4]
Generated Node #0,2,3: 81:[85, 4] Operation: 20-16=4
Moving to Node #0,2,3
Current State: 81:[85, 4], Operations: ['74-54=20', '20-16=4']
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
25,
17,
85,
76
] | 46 | [
"76-25=51",
"85/17=5",
"51-5=46"
] | Current State: 46:[25, 17, 85, 76], Operations: []
Exploring Operation: 76-25=51, Resulting Numbers: [17, 85, 51]
Generated Node #2: [17, 85, 51] from Operation: 76-25=51
Current State: 46:[17, 85, 51], Operations: ['76-25=51']
Exploring Operation: 85/17=5, Resulting Numbers: [51, 5]
Generated Node #3: [51, 5] from Operation: 85/17=5
Current State: 46:[51, 5], Operations: ['76-25=51', '85/17=5']
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[25, 17, 85, 76], Operations: []
Exploring Operation: 85-76=9, Resulting Numbers: [25, 17, 9]
Generated Node #0,0: 46:[25, 17, 9] Operation: 85-76=9
Exploring Operation: 85/17=5, Resulting Numbers: [25, 76, 5]
Generated Node #0,1: 46:[25, 76, 5] Operation: 85/17=5
Exploring Operation: 76-25=51, Resulting Numbers: [17, 85, 51]
Generated Node #0,2: 46:[17, 85, 51] Operation: 76-25=51
Exploring Operation: 85-25=60, Resulting Numbers: [17, 76, 60]
Generated Node #0,3: 46:[17, 76, 60] Operation: 85-25=60
Moving to Node #0,0
Current State: 46:[25, 17, 9], Operations: ['85-76=9']
Exploring Operation: 17-9=8, Resulting Numbers: [25, 8]
Generated Node #0,0,0: 46:[25, 8] Operation: 17-9=8
Exploring Operation: 25-17=8, Resulting Numbers: [9, 8]
Generated Node #0,0,1: 46:[9, 8] Operation: 25-17=8
Exploring Operation: 25+17=42, Resulting Numbers: [9, 42]
Generated Node #0,0,2: 46:[9, 42] Operation: 25+17=42
Exploring Operation: 17+9=26, Resulting Numbers: [25, 26]
Generated Node #0,0,3: 46:[25, 26] Operation: 17+9=26
Moving to Node #0,1
Current State: 46:[25, 76, 5], Operations: ['85/17=5']
Exploring Operation: 25/5=5, Resulting Numbers: [76, 5]
Generated Node #0,1,0: 46:[76, 5] Operation: 25/5=5
Exploring Operation: 76-5=71, Resulting Numbers: [25, 71]
Generated Node #0,1,1: 46:[25, 71] Operation: 76-5=71
Exploring Operation: 76-25=51, Resulting Numbers: [5, 51]
Generated Node #0,1,2: 46:[5, 51] Operation: 76-25=51
Exploring Operation: 25-5=20, Resulting Numbers: [76, 20]
Generated Node #0,1,3: 46:[76, 20] Operation: 25-5=20
Moving to Node #0,3
Current State: 46:[17, 76, 60], Operations: ['85-25=60']
Exploring Operation: 17+76=93, Resulting Numbers: [60, 93]
Generated Node #0,3,0: 46:[60, 93] Operation: 17+76=93
Exploring Operation: 60-17=43, Resulting Numbers: [76, 43]
Generated Node #0,3,1: 46:[76, 43] Operation: 60-17=43
Exploring Operation: 76-60=16, Resulting Numbers: [17, 16]
Generated Node #0,3,2: 46:[17, 16] Operation: 76-60=16
Exploring Operation: 76-17=59, Resulting Numbers: [60, 59]
Generated Node #0,3,3: 46:[60, 59] Operation: 76-17=59
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 46:[17, 16], Operations: ['85-25=60', '76-60=16']
Exploring Operation: 17*16=272, Resulting Numbers: [272]
272,46 unequal: No Solution
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,46 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 #0,3,3
Current State: 46:[60, 59], Operations: ['85-25=60', '76-17=59']
Exploring Operation: 60-59=1, Resulting Numbers: [1]
1,46 unequal: No Solution
Exploring Operation: 60+59=119, Resulting Numbers: [119]
119,46 unequal: No Solution
Exploring Operation: 60*59=3540, Resulting Numbers: [3540]
3540,46 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:[76, 43], Operations: ['85-25=60', '60-17=43']
Exploring Operation: 76-43=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 76*43=3268, Resulting Numbers: [3268]
3268,46 unequal: No Solution
Exploring Operation: 76+43=119, Resulting Numbers: [119]
119,46 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:[60, 93], Operations: ['85-25=60', '17+76=93']
Exploring Operation: 60*93=5580, Resulting Numbers: [5580]
5580,46 unequal: No Solution
Exploring Operation: 93-60=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 60+93=153, Resulting Numbers: [153]
153,46 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:[17, 85, 51], Operations: ['76-25=51']
Exploring Operation: 85/17=5, Resulting Numbers: [51, 5]
Generated Node #0,2,0: 46:[51, 5] Operation: 85/17=5
Exploring Operation: 51/17=3, Resulting Numbers: [85, 3]
Generated Node #0,2,1: 46:[85, 3] Operation: 51/17=3
Exploring Operation: 85-17=68, Resulting Numbers: [51, 68]
Generated Node #0,2,2: 46:[51, 68] Operation: 85-17=68
Exploring Operation: 85-51=34, Resulting Numbers: [17, 34]
Generated Node #0,2,3: 46:[17, 34] Operation: 85-51=34
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 46:[51, 5], Operations: ['76-25=51', '85/17=5']
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,46 unequal: No Solution
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[25, 17, 85, 76], Operations: []
Exploring Operation: 76-25=51, Resulting Numbers: [17, 85, 51]
Generated Node #0,2: 46:[17, 85, 51] Operation: 76-25=51
Moving to Node #0,2
Current State: 46:[17, 85, 51], Operations: ['76-25=51']
Exploring Operation: 85/17=5, Resulting Numbers: [51, 5]
Generated Node #0,2,0: 46:[51, 5] Operation: 85/17=5
Moving to Node #0,2,0
Current State: 46:[51, 5], Operations: ['76-25=51', '85/17=5']
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 | hs_4 | sum_heuristic |
[
9,
16,
67,
41
] | 90 | [
"67-16=51",
"51-41=10",
"9*10=90"
] | Current State: 90:[9, 16, 67, 41], Operations: []
Exploring Operation: 67-16=51, Resulting Numbers: [9, 41, 51]
Generated Node #2: [9, 41, 51] from Operation: 67-16=51
Current State: 90:[9, 41, 51], Operations: ['67-16=51']
Exploring Operation: 51-41=10, Resulting Numbers: [9, 10]
Generated Node #3: [9, 10] from Operation: 51-41=10
Current State: 90:[9, 10], Operations: ['67-16=51', '51-41=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[9, 16, 67, 41], Operations: []
Exploring Operation: 67-41=26, Resulting Numbers: [9, 16, 26]
Generated Node #0,0: 90:[9, 16, 26] Operation: 67-41=26
Exploring Operation: 9+67=76, Resulting Numbers: [16, 41, 76]
Generated Node #0,1: 90:[16, 41, 76] Operation: 9+67=76
Exploring Operation: 67-9=58, Resulting Numbers: [16, 41, 58]
Generated Node #0,2: 90:[16, 41, 58] Operation: 67-9=58
Exploring Operation: 67-16=51, Resulting Numbers: [9, 41, 51]
Generated Node #0,3: 90:[9, 41, 51] Operation: 67-16=51
Exploring Operation: 16+67=83, Resulting Numbers: [9, 41, 83]
Generated Node #0,4: 90:[9, 41, 83] Operation: 16+67=83
Moving to Node #0,0
Current State: 90:[9, 16, 26], Operations: ['67-41=26']
Exploring Operation: 26-9=17, Resulting Numbers: [16, 17]
Generated Node #0,0,0: 90:[16, 17] Operation: 26-9=17
Exploring Operation: 9+26=35, Resulting Numbers: [16, 35]
Generated Node #0,0,1: 90:[16, 35] Operation: 9+26=35
Exploring Operation: 16-9=7, Resulting Numbers: [26, 7]
Generated Node #0,0,2: 90:[26, 7] Operation: 16-9=7
Exploring Operation: 16+26=42, Resulting Numbers: [9, 42]
Generated Node #0,0,3: 90:[9, 42] Operation: 16+26=42
Exploring Operation: 26-16=10, Resulting Numbers: [9, 10]
Generated Node #0,0,4: 90:[9, 10] Operation: 26-16=10
Moving to Node #0,3
Current State: 90:[9, 41, 51], Operations: ['67-16=51']
Exploring Operation: 41-9=32, Resulting Numbers: [51, 32]
Generated Node #0,3,0: 90:[51, 32] Operation: 41-9=32
Exploring Operation: 51-41=10, Resulting Numbers: [9, 10]
Generated Node #0,3,1: 90:[9, 10] Operation: 51-41=10
Exploring Operation: 9+41=50, Resulting Numbers: [51, 50]
Generated Node #0,3,2: 90:[51, 50] Operation: 9+41=50
Exploring Operation: 51-9=42, Resulting Numbers: [41, 42]
Generated Node #0,3,3: 90:[41, 42] Operation: 51-9=42
Exploring Operation: 41+51=92, Resulting Numbers: [9, 92]
Generated Node #0,3,4: 90:[9, 92] Operation: 41+51=92
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 90:[9, 10], Operations: ['67-16=51', '51-41=10']
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,90 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[9, 16, 67, 41], Operations: []
Exploring Operation: 67-16=51, Resulting Numbers: [9, 41, 51]
Generated Node #0,3: 90:[9, 41, 51] Operation: 67-16=51
Moving to Node #0,3
Current State: 90:[9, 41, 51], Operations: ['67-16=51']
Exploring Operation: 51-41=10, Resulting Numbers: [9, 10]
Generated Node #0,3,1: 90:[9, 10] Operation: 51-41=10
Moving to Node #0,3,1
Current State: 90:[9, 10], Operations: ['67-16=51', '51-41=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | mult_heuristic |
[
21,
88,
70,
65
] | 62 | [
"88-21=67",
"70-65=5",
"67-5=62"
] | Current State: 62:[21, 88, 70, 65], Operations: []
Exploring Operation: 88-21=67, Resulting Numbers: [70, 65, 67]
Generated Node #2: [70, 65, 67] from Operation: 88-21=67
Current State: 62:[70, 65, 67], Operations: ['88-21=67']
Exploring Operation: 70-65=5, Resulting Numbers: [67, 5]
Generated Node #3: [67, 5] from Operation: 70-65=5
Current State: 62:[67, 5], Operations: ['88-21=67', '70-65=5']
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[21, 88, 70, 65], Operations: []
Exploring Operation: 88-21=67, Resulting Numbers: [70, 65, 67]
Generated Node #0,0: 62:[70, 65, 67] Operation: 88-21=67
Exploring Operation: 88-70=18, Resulting Numbers: [21, 65, 18]
Generated Node #0,1: 62:[21, 65, 18] Operation: 88-70=18
Moving to Node #0,0
Current State: 62:[70, 65, 67], Operations: ['88-21=67']
Exploring Operation: 70-65=5, Resulting Numbers: [67, 5]
Generated Node #0,0,0: 62:[67, 5] Operation: 70-65=5
Exploring Operation: 70-67=3, Resulting Numbers: [65, 3]
Generated Node #0,0,1: 62:[65, 3] Operation: 70-67=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 62:[65, 3], Operations: ['88-21=67', '70-67=3']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[21, 88, 70, 65], Operations: []
Exploring Operation: 88-21=67, Resulting Numbers: [70, 65, 67]
Generated Node #0,0: 62:[70, 65, 67] Operation: 88-21=67
Moving to Node #0,0
Current State: 62:[70, 65, 67], Operations: ['88-21=67']
Exploring Operation: 70-67=3, Resulting Numbers: [65, 3]
Generated Node #0,0,1: 62:[65, 3] Operation: 70-67=3
Moving to Node #0,0,1
Current State: 62:[65, 3], Operations: ['88-21=67', '70-67=3']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
79,
45,
49,
40
] | 74 | [
"49-40=9",
"45/9=5",
"79-5=74"
] | Current State: 74:[79, 45, 49, 40], Operations: []
Exploring Operation: 49-40=9, Resulting Numbers: [79, 45, 9]
Generated Node #2: [79, 45, 9] from Operation: 49-40=9
Current State: 74:[79, 45, 9], Operations: ['49-40=9']
Exploring Operation: 45/9=5, Resulting Numbers: [79, 5]
Generated Node #3: [79, 5] from Operation: 45/9=5
Current State: 74:[79, 5], Operations: ['49-40=9', '45/9=5']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[79, 45, 49, 40], Operations: []
Exploring Operation: 49-45=4, Resulting Numbers: [79, 40, 4]
Generated Node #0,0: 74:[79, 40, 4] Operation: 49-45=4
Exploring Operation: 79-45=34, Resulting Numbers: [49, 40, 34]
Generated Node #0,1: 74:[49, 40, 34] Operation: 79-45=34
Moving to Node #0,0
Current State: 74:[79, 40, 4], Operations: ['49-45=4']
Exploring Operation: 79-40=39, Resulting Numbers: [4, 39]
Generated Node #0,0,0: 74:[4, 39] Operation: 79-40=39
Exploring Operation: 79-4=75, Resulting Numbers: [40, 75]
Generated Node #0,0,1: 74:[40, 75] Operation: 79-4=75
Moving to Node #0,1
Current State: 74:[49, 40, 34], Operations: ['79-45=34']
Exploring Operation: 49+34=83, Resulting Numbers: [40, 83]
Generated Node #0,1,0: 74:[40, 83] Operation: 49+34=83
Exploring Operation: 49-40=9, Resulting Numbers: [34, 9]
Generated Node #0,1,1: 74:[34, 9] Operation: 49-40=9
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 74:[34, 9], Operations: ['79-45=34', '49-40=9']
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,74 unequal: No Solution
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 74:[40, 83], Operations: ['79-45=34', '49+34=83']
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,74 unequal: No Solution
Exploring Operation: 40+83=123, Resulting Numbers: [123]
123,74 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: 74:[4, 39], Operations: ['49-45=4', '79-40=39']
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,74 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Moving to Node #0,0,1
Current State: 74:[40, 75], Operations: ['49-45=4', '79-4=75']
Exploring Operation: 40+75=115, Resulting Numbers: [115]
115,74 unequal: No Solution
Exploring Operation: 75-40=35, Resulting Numbers: [35]
35,74 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
88,
23,
69,
81
] | 99 | [
"88+23=111",
"81-69=12",
"111-12=99"
] | Current State: 99:[88, 23, 69, 81], Operations: []
Exploring Operation: 88+23=111, Resulting Numbers: [69, 81, 111]
Generated Node #2: [69, 81, 111] from Operation: 88+23=111
Current State: 99:[69, 81, 111], Operations: ['88+23=111']
Exploring Operation: 81-69=12, Resulting Numbers: [111, 12]
Generated Node #3: [111, 12] from Operation: 81-69=12
Current State: 99:[111, 12], Operations: ['88+23=111', '81-69=12']
Exploring Operation: 111-12=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[88, 23, 69, 81], Operations: []
Exploring Operation: 23+69=92, Resulting Numbers: [88, 81, 92]
Generated Node #0,0: 99:[88, 81, 92] Operation: 23+69=92
Exploring Operation: 88-81=7, Resulting Numbers: [23, 69, 7]
Generated Node #0,1: 99:[23, 69, 7] Operation: 88-81=7
Exploring Operation: 81-69=12, Resulting Numbers: [88, 23, 12]
Generated Node #0,2: 99:[88, 23, 12] Operation: 81-69=12
Exploring Operation: 88-69=19, Resulting Numbers: [23, 81, 19]
Generated Node #0,3: 99:[23, 81, 19] Operation: 88-69=19
Exploring Operation: 69/23=3, Resulting Numbers: [88, 81, 3]
Generated Node #0,4: 99:[88, 81, 3] Operation: 69/23=3
Moving to Node #0,2
Current State: 99:[88, 23, 12], Operations: ['81-69=12']
Exploring Operation: 88+12=100, Resulting Numbers: [23, 100]
Generated Node #0,2,0: 99:[23, 100] Operation: 88+12=100
Exploring Operation: 23-12=11, Resulting Numbers: [88, 11]
Generated Node #0,2,1: 99:[88, 11] Operation: 23-12=11
Exploring Operation: 23+12=35, Resulting Numbers: [88, 35]
Generated Node #0,2,2: 99:[88, 35] Operation: 23+12=35
Exploring Operation: 88-23=65, Resulting Numbers: [12, 65]
Generated Node #0,2,3: 99:[12, 65] Operation: 88-23=65
Exploring Operation: 88+23=111, Resulting Numbers: [12, 111]
Generated Node #0,2,4: 99:[12, 111] Operation: 88+23=111
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 99:[23, 100], Operations: ['81-69=12', '88+12=100']
Exploring Operation: 100-23=77, Resulting Numbers: [77]
77,99 unequal: No Solution
Exploring Operation: 23+100=123, Resulting Numbers: [123]
123,99 unequal: No Solution
Exploring Operation: 23*100=2300, Resulting Numbers: [2300]
2300,99 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:[88, 11], Operations: ['81-69=12', '23-12=11']
Exploring Operation: 88-11=77, Resulting Numbers: [77]
77,99 unequal: No Solution
Exploring Operation: 88+11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[88, 23, 69, 81], Operations: []
Exploring Operation: 81-69=12, Resulting Numbers: [88, 23, 12]
Generated Node #0,2: 99:[88, 23, 12] Operation: 81-69=12
Moving to Node #0,2
Current State: 99:[88, 23, 12], Operations: ['81-69=12']
Exploring Operation: 23-12=11, Resulting Numbers: [88, 11]
Generated Node #0,2,1: 99:[88, 11] Operation: 23-12=11
Moving to Node #0,2,1
Current State: 99:[88, 11], Operations: ['81-69=12', '23-12=11']
Exploring Operation: 88+11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
49,
57,
78,
65
] | 80 | [
"49+65=114",
"114/57=2",
"78+2=80"
] | Current State: 80:[49, 57, 78, 65], Operations: []
Exploring Operation: 49+65=114, Resulting Numbers: [57, 78, 114]
Generated Node #2: [57, 78, 114] from Operation: 49+65=114
Current State: 80:[57, 78, 114], Operations: ['49+65=114']
Exploring Operation: 114/57=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 114/57=2
Current State: 80:[78, 2], Operations: ['49+65=114', '114/57=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[49, 57, 78, 65], Operations: []
Exploring Operation: 57-49=8, Resulting Numbers: [78, 65, 8]
Generated Node #0,0: 80:[78, 65, 8] Operation: 57-49=8
Exploring Operation: 65-57=8, Resulting Numbers: [49, 78, 8]
Generated Node #0,1: 80:[49, 78, 8] Operation: 65-57=8
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[49, 78, 8], Operations: ['65-57=8']
Exploring Operation: 49-8=41, Resulting Numbers: [78, 41]
Generated Node #0,1,0: 80:[78, 41] Operation: 49-8=41
Exploring Operation: 78-49=29, Resulting Numbers: [8, 29]
Generated Node #0,1,1: 80:[8, 29] Operation: 78-49=29
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 80:[78, 41], Operations: ['65-57=8', '49-8=41']
Exploring Operation: 78-41=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Exploring Operation: 78+41=119, Resulting Numbers: [119]
119,80 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 #0,1,1
Current State: 80:[8, 29], Operations: ['65-57=8', '78-49=29']
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,80 unequal: No Solution
Exploring Operation: 8+29=37, Resulting Numbers: [37]
37,80 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: 80:[78, 65, 8], Operations: ['57-49=8']
Exploring Operation: 65+8=73, Resulting Numbers: [78, 73]
Generated Node #0,0,0: 80:[78, 73] Operation: 65+8=73
Exploring Operation: 78-65=13, Resulting Numbers: [8, 13]
Generated Node #0,0,1: 80:[8, 13] Operation: 78-65=13
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 80:[8, 13], Operations: ['57-49=8', '78-65=13']
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,80 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,80 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 #0,0,0
Current State: 80:[78, 73], Operations: ['57-49=8', '65+8=73']
Exploring Operation: 78-73=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 78+73=151, Resulting Numbers: [151]
151,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
8,
49,
30,
99
] | 88 | [
"49-8=41",
"30+99=129",
"129-41=88"
] | Current State: 88:[8, 49, 30, 99], Operations: []
Exploring Operation: 49-8=41, Resulting Numbers: [30, 99, 41]
Generated Node #2: [30, 99, 41] from Operation: 49-8=41
Current State: 88:[30, 99, 41], Operations: ['49-8=41']
Exploring Operation: 30+99=129, Resulting Numbers: [41, 129]
Generated Node #3: [41, 129] from Operation: 30+99=129
Current State: 88:[41, 129], Operations: ['49-8=41', '30+99=129']
Exploring Operation: 129-41=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[8, 49, 30, 99], Operations: []
Exploring Operation: 30-8=22, Resulting Numbers: [49, 99, 22]
Generated Node #0,0: 88:[49, 99, 22] Operation: 30-8=22
Exploring Operation: 49+30=79, Resulting Numbers: [8, 99, 79]
Generated Node #0,1: 88:[8, 99, 79] Operation: 49+30=79
Exploring Operation: 49-30=19, Resulting Numbers: [8, 99, 19]
Generated Node #0,2: 88:[8, 99, 19] Operation: 49-30=19
Exploring Operation: 99-49=50, Resulting Numbers: [8, 30, 50]
Generated Node #0,3: 88:[8, 30, 50] Operation: 99-49=50
Exploring Operation: 99-8=91, Resulting Numbers: [49, 30, 91]
Generated Node #0,4: 88:[49, 30, 91] Operation: 99-8=91
Moving to Node #0,2
Current State: 88:[8, 99, 19], Operations: ['49-30=19']
Exploring Operation: 99-8=91, Resulting Numbers: [19, 91]
Generated Node #0,2,0: 88:[19, 91] Operation: 99-8=91
Exploring Operation: 8+99=107, Resulting Numbers: [19, 107]
Generated Node #0,2,1: 88:[19, 107] Operation: 8+99=107
Exploring Operation: 8+19=27, Resulting Numbers: [99, 27]
Generated Node #0,2,2: 88:[99, 27] Operation: 8+19=27
Exploring Operation: 99-19=80, Resulting Numbers: [8, 80]
Generated Node #0,2,3: 88:[8, 80] Operation: 99-19=80
Exploring Operation: 19-8=11, Resulting Numbers: [99, 11]
Generated Node #0,2,4: 88:[99, 11] Operation: 19-8=11
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 88:[19, 91], Operations: ['49-30=19', '99-8=91']
Exploring Operation: 19*91=1729, Resulting Numbers: [1729]
1729,88 unequal: No Solution
Exploring Operation: 91-19=72, Resulting Numbers: [72]
72,88 unequal: No Solution
Exploring Operation: 19+91=110, Resulting Numbers: [110]
110,88 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:[8, 80], Operations: ['49-30=19', '99-19=80']
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,88 unequal: No Solution
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,88 unequal: No Solution
Exploring Operation: 8*80=640, Resulting Numbers: [640]
640,88 unequal: No Solution
Exploring Operation: 8+80=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[8, 49, 30, 99], Operations: []
Exploring Operation: 49-30=19, Resulting Numbers: [8, 99, 19]
Generated Node #0,2: 88:[8, 99, 19] Operation: 49-30=19
Moving to Node #0,2
Current State: 88:[8, 99, 19], Operations: ['49-30=19']
Exploring Operation: 99-19=80, Resulting Numbers: [8, 80]
Generated Node #0,2,3: 88:[8, 80] Operation: 99-19=80
Moving to Node #0,2,3
Current State: 88:[8, 80], Operations: ['49-30=19', '99-19=80']
Exploring Operation: 8+80=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | mult_heuristic |
[
23,
57,
61,
8
] | 71 | [
"23+57=80",
"80/8=10",
"61+10=71"
] | Current State: 71:[23, 57, 61, 8], Operations: []
Exploring Operation: 23+57=80, Resulting Numbers: [61, 8, 80]
Generated Node #2: [61, 8, 80] from Operation: 23+57=80
Current State: 71:[61, 8, 80], Operations: ['23+57=80']
Exploring Operation: 80/8=10, Resulting Numbers: [61, 10]
Generated Node #3: [61, 10] from Operation: 80/8=10
Current State: 71:[61, 10], Operations: ['23+57=80', '80/8=10']
Exploring Operation: 61+10=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[23, 57, 61, 8], Operations: []
Exploring Operation: 23+8=31, Resulting Numbers: [57, 61, 31]
Generated Node #0,0: 71:[57, 61, 31] Operation: 23+8=31
Exploring Operation: 57+8=65, Resulting Numbers: [23, 61, 65]
Generated Node #0,1: 71:[23, 61, 65] Operation: 57+8=65
Exploring Operation: 61+8=69, Resulting Numbers: [23, 57, 69]
Generated Node #0,2: 71:[23, 57, 69] Operation: 61+8=69
Moving to Node #0,0
Current State: 71:[57, 61, 31], Operations: ['23+8=31']
Exploring Operation: 61+31=92, Resulting Numbers: [57, 92]
Generated Node #0,0,0: 71:[57, 92] Operation: 61+31=92
Exploring Operation: 57+31=88, Resulting Numbers: [61, 88]
Generated Node #0,0,1: 71:[61, 88] Operation: 57+31=88
Exploring Operation: 57-31=26, Resulting Numbers: [61, 26]
Generated Node #0,0,2: 71:[61, 26] Operation: 57-31=26
Moving to Node #0,1
Current State: 71:[23, 61, 65], Operations: ['57+8=65']
Exploring Operation: 23+61=84, Resulting Numbers: [65, 84]
Generated Node #0,1,0: 71:[65, 84] Operation: 23+61=84
Exploring Operation: 23+65=88, Resulting Numbers: [61, 88]
Generated Node #0,1,1: 71:[61, 88] Operation: 23+65=88
Exploring Operation: 61-23=38, Resulting Numbers: [65, 38]
Generated Node #0,1,2: 71:[65, 38] Operation: 61-23=38
Moving to Node #0,2
Current State: 71:[23, 57, 69], Operations: ['61+8=69']
Exploring Operation: 23+69=92, Resulting Numbers: [57, 92]
Generated Node #0,2,0: 71:[57, 92] Operation: 23+69=92
Exploring Operation: 57-23=34, Resulting Numbers: [69, 34]
Generated Node #0,2,1: 71:[69, 34] Operation: 57-23=34
Exploring Operation: 23+57=80, Resulting Numbers: [69, 80]
Generated Node #0,2,2: 71:[69, 80] Operation: 23+57=80
Moving to Node #0,2,2
Current State: 71:[69, 80], Operations: ['61+8=69', '23+57=80']
Exploring Operation: 69+80=149, Resulting Numbers: [149]
149,71 unequal: No Solution
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,71 unequal: No Solution
Exploring Operation: 69*80=5520, Resulting Numbers: [5520]
5520,71 unequal: No Solution
Moving to Node #0,1,0
Current State: 71:[65, 84], Operations: ['57+8=65', '23+61=84']
Exploring Operation: 84-65=19, Resulting Numbers: [19]
19,71 unequal: No Solution
Exploring Operation: 65*84=5460, Resulting Numbers: [5460]
5460,71 unequal: No Solution
Exploring Operation: 65+84=149, Resulting Numbers: [149]
149,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[61, 88], Operations: ['23+8=31', '57+31=88']
Exploring Operation: 61+88=149, Resulting Numbers: [149]
149,71 unequal: No Solution
Exploring Operation: 88-61=27, Resulting Numbers: [27]
27,71 unequal: No Solution
Exploring Operation: 61*88=5368, Resulting Numbers: [5368]
5368,71 unequal: No Solution
Moving to Node #0,1,1
Current State: 71:[61, 88], Operations: ['57+8=65', '23+65=88']
Exploring Operation: 61+88=149, Resulting Numbers: [149]
149,71 unequal: No Solution
Exploring Operation: 61*88=5368, Resulting Numbers: [5368]
5368,71 unequal: No Solution
Exploring Operation: 88-61=27, Resulting Numbers: [27]
27,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[57, 92], Operations: ['61+8=69', '23+69=92']
Exploring Operation: 92-57=35, Resulting Numbers: [35]
35,71 unequal: No Solution
Exploring Operation: 57*92=5244, Resulting Numbers: [5244]
5244,71 unequal: No Solution
Exploring Operation: 57+92=149, Resulting Numbers: [149]
149,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[57, 92], Operations: ['23+8=31', '61+31=92']
Exploring Operation: 57*92=5244, Resulting Numbers: [5244]
5244,71 unequal: No Solution
Exploring Operation: 92-57=35, Resulting Numbers: [35]
35,71 unequal: No Solution
Exploring Operation: 57+92=149, Resulting Numbers: [149]
149,71 unequal: No Solution
Moving to Node #0,1,2
Current State: 71:[65, 38], Operations: ['57+8=65', '61-23=38']
Exploring Operation: 65*38=2470, Resulting Numbers: [2470]
2470,71 unequal: No Solution
Exploring Operation: 65-38=27, Resulting Numbers: [27]
27,71 unequal: No Solution
Exploring Operation: 65+38=103, Resulting Numbers: [103]
103,71 unequal: No Solution
Moving to Node #0,2,1
Current State: 71:[69, 34], Operations: ['61+8=69', '57-23=34']
Exploring Operation: 69*34=2346, Resulting Numbers: [2346]
2346,71 unequal: No Solution
Exploring Operation: 69-34=35, Resulting Numbers: [35]
35,71 unequal: No Solution
Exploring Operation: 69+34=103, Resulting Numbers: [103]
103,71 unequal: No Solution
Moving to Node #0,0,2
Current State: 71:[61, 26], Operations: ['23+8=31', '57-31=26']
Exploring Operation: 61-26=35, Resulting Numbers: [35]
35,71 unequal: No Solution
Exploring Operation: 61+26=87, Resulting Numbers: [87]
87,71 unequal: No Solution
Exploring Operation: 61*26=1586, Resulting Numbers: [1586]
1586,71 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
37,
69,
97,
14
] | 79 | [
"69-37=32",
"97+14=111",
"111-32=79"
] | Current State: 79:[37, 69, 97, 14], Operations: []
Exploring Operation: 69-37=32, Resulting Numbers: [97, 14, 32]
Generated Node #2: [97, 14, 32] from Operation: 69-37=32
Current State: 79:[97, 14, 32], Operations: ['69-37=32']
Exploring Operation: 97+14=111, Resulting Numbers: [32, 111]
Generated Node #3: [32, 111] from Operation: 97+14=111
Current State: 79:[32, 111], Operations: ['69-37=32', '97+14=111']
Exploring Operation: 111-32=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[37, 69, 97, 14], Operations: []
Exploring Operation: 97-14=83, Resulting Numbers: [37, 69, 83]
Generated Node #0,0: 79:[37, 69, 83] Operation: 97-14=83
Exploring Operation: 37+14=51, Resulting Numbers: [69, 97, 51]
Generated Node #0,1: 79:[69, 97, 51] Operation: 37+14=51
Exploring Operation: 69+14=83, Resulting Numbers: [37, 97, 83]
Generated Node #0,2: 79:[37, 97, 83] Operation: 69+14=83
Exploring Operation: 69-14=55, Resulting Numbers: [37, 97, 55]
Generated Node #0,3: 79:[37, 97, 55] Operation: 69-14=55
Exploring Operation: 37-14=23, Resulting Numbers: [69, 97, 23]
Generated Node #0,4: 79:[69, 97, 23] Operation: 37-14=23
Moving to Node #0,0
Current State: 79:[37, 69, 83], Operations: ['97-14=83']
Exploring Operation: 83-37=46, Resulting Numbers: [69, 46]
Generated Node #0,0,0: 79:[69, 46] Operation: 83-37=46
Exploring Operation: 37+83=120, Resulting Numbers: [69, 120]
Generated Node #0,0,1: 79:[69, 120] Operation: 37+83=120
Exploring Operation: 37+69=106, Resulting Numbers: [83, 106]
Generated Node #0,0,2: 79:[83, 106] Operation: 37+69=106
Exploring Operation: 69-37=32, Resulting Numbers: [83, 32]
Generated Node #0,0,3: 79:[83, 32] Operation: 69-37=32
Exploring Operation: 83-69=14, Resulting Numbers: [37, 14]
Generated Node #0,0,4: 79:[37, 14] Operation: 83-69=14
Moving to Node #0,1
Current State: 79:[69, 97, 51], Operations: ['37+14=51']
Exploring Operation: 97-69=28, Resulting Numbers: [51, 28]
Generated Node #0,1,0: 79:[51, 28] Operation: 97-69=28
Exploring Operation: 69+51=120, Resulting Numbers: [97, 120]
Generated Node #0,1,1: 79:[97, 120] Operation: 69+51=120
Exploring Operation: 69-51=18, Resulting Numbers: [97, 18]
Generated Node #0,1,2: 79:[97, 18] Operation: 69-51=18
Exploring Operation: 97+51=148, Resulting Numbers: [69, 148]
Generated Node #0,1,3: 79:[69, 148] Operation: 97+51=148
Exploring Operation: 97-51=46, Resulting Numbers: [69, 46]
Generated Node #0,1,4: 79:[69, 46] Operation: 97-51=46
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 79:[69, 46], Operations: ['37+14=51', '97-51=46']
Exploring Operation: 69*46=3174, Resulting Numbers: [3174]
3174,79 unequal: No Solution
Exploring Operation: 69-46=23, Resulting Numbers: [23]
23,79 unequal: No Solution
Exploring Operation: 69+46=115, Resulting Numbers: [115]
115,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 79:[97, 120], Operations: ['37+14=51', '69+51=120']
Exploring Operation: 97*120=11640, Resulting Numbers: [11640]
11640,79 unequal: No Solution
Exploring Operation: 120-97=23, Resulting Numbers: [23]
23,79 unequal: No Solution
Exploring Operation: 97+120=217, Resulting Numbers: [217]
217,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[51, 28], Operations: ['37+14=51', '97-69=28']
Exploring Operation: 51*28=1428, Resulting Numbers: [1428]
1428,79 unequal: No Solution
Exploring Operation: 51+28=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[37, 69, 97, 14], Operations: []
Exploring Operation: 37+14=51, Resulting Numbers: [69, 97, 51]
Generated Node #0,1: 79:[69, 97, 51] Operation: 37+14=51
Moving to Node #0,1
Current State: 79:[69, 97, 51], Operations: ['37+14=51']
Exploring Operation: 97-69=28, Resulting Numbers: [51, 28]
Generated Node #0,1,0: 79:[51, 28] Operation: 97-69=28
Moving to Node #0,1,0
Current State: 79:[51, 28], Operations: ['37+14=51', '97-69=28']
Exploring Operation: 51+28=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | mult_heuristic |
[
86,
67,
73,
50
] | 30 | [
"86+67=153",
"73+50=123",
"153-123=30"
] | Current State: 30:[86, 67, 73, 50], Operations: []
Exploring Operation: 86+67=153, Resulting Numbers: [73, 50, 153]
Generated Node #2: [73, 50, 153] from Operation: 86+67=153
Current State: 30:[73, 50, 153], Operations: ['86+67=153']
Exploring Operation: 73+50=123, Resulting Numbers: [153, 123]
Generated Node #3: [153, 123] from Operation: 73+50=123
Current State: 30:[153, 123], Operations: ['86+67=153', '73+50=123']
Exploring Operation: 153-123=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[86, 67, 73, 50], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [86, 50, 6]
Generated Node #0,0: 30:[86, 50, 6] Operation: 73-67=6
Exploring Operation: 86-67=19, Resulting Numbers: [73, 50, 19]
Generated Node #0,1: 30:[73, 50, 19] Operation: 86-67=19
Exploring Operation: 86-73=13, Resulting Numbers: [67, 50, 13]
Generated Node #0,2: 30:[67, 50, 13] Operation: 86-73=13
Start Sub Search at level 1: Moving to Node #0,2
Current State: 30:[67, 50, 13], Operations: ['86-73=13']
Exploring Operation: 67-13=54, Resulting Numbers: [50, 54]
Generated Node #0,2,0: 30:[50, 54] Operation: 67-13=54
Exploring Operation: 50-13=37, Resulting Numbers: [67, 37]
Generated Node #0,2,1: 30:[67, 37] Operation: 50-13=37
Exploring Operation: 67-50=17, Resulting Numbers: [13, 17]
Generated Node #0,2,2: 30:[13, 17] Operation: 67-50=17
Moving to Node #0,2,2
Current State: 30:[13, 17], Operations: ['86-73=13', '67-50=17']
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[86, 67, 73, 50], Operations: []
Exploring Operation: 86-73=13, Resulting Numbers: [67, 50, 13]
Generated Node #0,2: 30:[67, 50, 13] Operation: 86-73=13
Moving to Node #0,2
Current State: 30:[67, 50, 13], Operations: ['86-73=13']
Exploring Operation: 67-50=17, Resulting Numbers: [13, 17]
Generated Node #0,2,2: 30:[13, 17] Operation: 67-50=17
Moving to Node #0,2,2
Current State: 30:[13, 17], Operations: ['86-73=13', '67-50=17']
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
2,
3,
79,
22
] | 31 | [
"2+3=5",
"22*5=110",
"110-79=31"
] | Current State: 31:[2, 3, 79, 22], Operations: []
Exploring Operation: 2+3=5, Resulting Numbers: [79, 22, 5]
Generated Node #2: [79, 22, 5] from Operation: 2+3=5
Current State: 31:[79, 22, 5], Operations: ['2+3=5']
Exploring Operation: 22*5=110, Resulting Numbers: [79, 110]
Generated Node #3: [79, 110] from Operation: 22*5=110
Current State: 31:[79, 110], Operations: ['2+3=5', '22*5=110']
Exploring Operation: 110-79=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[2, 3, 79, 22], Operations: []
Exploring Operation: 79-2=77, Resulting Numbers: [3, 22, 77]
Generated Node #0,0: 31:[3, 22, 77] Operation: 79-2=77
Exploring Operation: 2+22=24, Resulting Numbers: [3, 79, 24]
Generated Node #0,1: 31:[3, 79, 24] Operation: 2+22=24
Exploring Operation: 2*3=6, Resulting Numbers: [79, 22, 6]
Generated Node #0,2: 31:[79, 22, 6] Operation: 2*3=6
Exploring Operation: 2+3=5, Resulting Numbers: [79, 22, 5]
Generated Node #0,3: 31:[79, 22, 5] Operation: 2+3=5
Moving to Node #0,2
Current State: 31:[79, 22, 6], Operations: ['2*3=6']
Exploring Operation: 79-6=73, Resulting Numbers: [22, 73]
Generated Node #0,2,0: 31:[22, 73] Operation: 79-6=73
Exploring Operation: 79-22=57, Resulting Numbers: [6, 57]
Generated Node #0,2,1: 31:[6, 57] Operation: 79-22=57
Exploring Operation: 79+6=85, Resulting Numbers: [22, 85]
Generated Node #0,2,2: 31:[22, 85] Operation: 79+6=85
Exploring Operation: 22+6=28, Resulting Numbers: [79, 28]
Generated Node #0,2,3: 31:[79, 28] Operation: 22+6=28
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 31:[22, 73], Operations: ['2*3=6', '79-6=73']
Exploring Operation: 22+73=95, Resulting Numbers: [95]
95,31 unequal: No Solution
Exploring Operation: 73-22=51, Resulting Numbers: [51]
51,31 unequal: No Solution
Exploring Operation: 22*73=1606, Resulting Numbers: [1606]
1606,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 31:[6, 57], Operations: ['2*3=6', '79-22=57']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,31 unequal: No Solution
Exploring Operation: 6*57=342, Resulting Numbers: [342]
342,31 unequal: No Solution
Exploring Operation: 6+57=63, Resulting Numbers: [63]
63,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 31:[79, 28], Operations: ['2*3=6', '22+6=28']
Exploring Operation: 79-28=51, Resulting Numbers: [51]
51,31 unequal: No Solution
Exploring Operation: 79+28=107, Resulting Numbers: [107]
107,31 unequal: No Solution
Exploring Operation: 79*28=2212, Resulting Numbers: [2212]
2212,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 31:[22, 85], Operations: ['2*3=6', '79+6=85']
Exploring Operation: 22+85=107, Resulting Numbers: [107]
107,31 unequal: No Solution
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,31 unequal: No Solution
Exploring Operation: 22*85=1870, Resulting Numbers: [1870]
1870,31 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: 31:[3, 79, 24], Operations: ['2+22=24']
Exploring Operation: 3+79=82, Resulting Numbers: [24, 82]
Generated Node #0,1,0: 31:[24, 82] Operation: 3+79=82
Exploring Operation: 3+24=27, Resulting Numbers: [79, 27]
Generated Node #0,1,1: 31:[79, 27] Operation: 3+24=27
Exploring Operation: 79-24=55, Resulting Numbers: [3, 55]
Generated Node #0,1,2: 31:[3, 55] Operation: 79-24=55
Exploring Operation: 79-3=76, Resulting Numbers: [24, 76]
Generated Node #0,1,3: 31:[24, 76] Operation: 79-3=76
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 31:[79, 27], Operations: ['2+22=24', '3+24=27']
Exploring Operation: 79*27=2133, Resulting Numbers: [2133]
2133,31 unequal: No Solution
Exploring Operation: 79-27=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 79+27=106, Resulting Numbers: [106]
106,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 31:[3, 55], Operations: ['2+22=24', '79-24=55']
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,31 unequal: No Solution
Exploring Operation: 3*55=165, Resulting Numbers: [165]
165,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 31:[24, 76], Operations: ['2+22=24', '79-3=76']
Exploring Operation: 24*76=1824, Resulting Numbers: [1824]
1824,31 unequal: No Solution
Exploring Operation: 76-24=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 24+76=100, Resulting Numbers: [100]
100,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 31:[24, 82], Operations: ['2+22=24', '3+79=82']
Exploring Operation: 24*82=1968, Resulting Numbers: [1968]
1968,31 unequal: No Solution
Exploring Operation: 24+82=106, Resulting Numbers: [106]
106,31 unequal: No Solution
Exploring Operation: 82-24=58, Resulting Numbers: [58]
58,31 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: 31:[3, 22, 77], Operations: ['79-2=77']
Exploring Operation: 22-3=19, Resulting Numbers: [77, 19]
Generated Node #0,0,0: 31:[77, 19] Operation: 22-3=19
Exploring Operation: 77-3=74, Resulting Numbers: [22, 74]
Generated Node #0,0,1: 31:[22, 74] Operation: 77-3=74
Exploring Operation: 77-22=55, Resulting Numbers: [3, 55]
Generated Node #0,0,2: 31:[3, 55] Operation: 77-22=55
Exploring Operation: 3+22=25, Resulting Numbers: [77, 25]
Generated Node #0,0,3: 31:[77, 25] Operation: 3+22=25
Moving to Node #0,3
Current State: 31:[79, 22, 5], Operations: ['2+3=5']
Exploring Operation: 79-5=74, Resulting Numbers: [22, 74]
Generated Node #0,3,0: 31:[22, 74] Operation: 79-5=74
Exploring Operation: 79-22=57, Resulting Numbers: [5, 57]
Generated Node #0,3,1: 31:[5, 57] Operation: 79-22=57
Exploring Operation: 22+5=27, Resulting Numbers: [79, 27]
Generated Node #0,3,2: 31:[79, 27] Operation: 22+5=27
Exploring Operation: 79+5=84, Resulting Numbers: [22, 84]
Generated Node #0,3,3: 31:[22, 84] Operation: 79+5=84
Moving to Node #0,0,1
Current State: 31:[22, 74], Operations: ['79-2=77', '77-3=74']
Exploring Operation: 22+74=96, Resulting Numbers: [96]
96,31 unequal: No Solution
Exploring Operation: 22*74=1628, Resulting Numbers: [1628]
1628,31 unequal: No Solution
Exploring Operation: 74-22=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Moving to Node #0,0,3
Current State: 31:[77, 25], Operations: ['79-2=77', '3+22=25']
Exploring Operation: 77+25=102, Resulting Numbers: [102]
102,31 unequal: No Solution
Exploring Operation: 77-25=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 77*25=1925, Resulting Numbers: [1925]
1925,31 unequal: No Solution
Moving to Node #0,3,2
Current State: 31:[79, 27], Operations: ['2+3=5', '22+5=27']
Exploring Operation: 79-27=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 79+27=106, Resulting Numbers: [106]
106,31 unequal: No Solution
Exploring Operation: 79*27=2133, Resulting Numbers: [2133]
2133,31 unequal: No Solution
Moving to Node #0,3,1
Current State: 31:[5, 57], Operations: ['2+3=5', '79-22=57']
Exploring Operation: 5+57=62, Resulting Numbers: [62]
62,31 unequal: No Solution
Exploring Operation: 5*57=285, Resulting Numbers: [285]
285,31 unequal: No Solution
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[3, 55], Operations: ['79-2=77', '77-22=55']
Exploring Operation: 3*55=165, Resulting Numbers: [165]
165,31 unequal: No Solution
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,31 unequal: No Solution
Moving to Node #0,3,0
Current State: 31:[22, 74], Operations: ['2+3=5', '79-5=74']
Exploring Operation: 74-22=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 22*74=1628, Resulting Numbers: [1628]
1628,31 unequal: No Solution
Exploring Operation: 22+74=96, Resulting Numbers: [96]
96,31 unequal: No Solution
Moving to Node #0,0,0
Current State: 31:[77, 19], Operations: ['79-2=77', '22-3=19']
Exploring Operation: 77*19=1463, Resulting Numbers: [1463]
1463,31 unequal: No Solution
Exploring Operation: 77+19=96, Resulting Numbers: [96]
96,31 unequal: No Solution
Exploring Operation: 77-19=58, Resulting Numbers: [58]
58,31 unequal: No Solution
Moving to Node #0,3,3
Current State: 31:[22, 84], Operations: ['2+3=5', '79+5=84']
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,31 unequal: No Solution
Exploring Operation: 22*84=1848, Resulting Numbers: [1848]
1848,31 unequal: No Solution
Exploring Operation: 22+84=106, Resulting Numbers: [106]
106,31 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
92,
96,
62,
20
] | 67 | [
"96-92=4",
"20/4=5",
"62+5=67"
] | Current State: 67:[92, 96, 62, 20], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [62, 20, 4]
Generated Node #2: [62, 20, 4] from Operation: 96-92=4
Current State: 67:[62, 20, 4], Operations: ['96-92=4']
Exploring Operation: 20/4=5, Resulting Numbers: [62, 5]
Generated Node #3: [62, 5] from Operation: 20/4=5
Current State: 67:[62, 5], Operations: ['96-92=4', '20/4=5']
Exploring Operation: 62+5=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[92, 96, 62, 20], Operations: []
Exploring Operation: 96-20=76, Resulting Numbers: [92, 62, 76]
Generated Node #0,0: 67:[92, 62, 76] Operation: 96-20=76
Exploring Operation: 92-20=72, Resulting Numbers: [96, 62, 72]
Generated Node #0,1: 67:[96, 62, 72] Operation: 92-20=72
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[92, 62, 76], Operations: ['96-20=76']
Exploring Operation: 92-76=16, Resulting Numbers: [62, 16]
Generated Node #0,0,0: 67:[62, 16] Operation: 92-76=16
Exploring Operation: 92-62=30, Resulting Numbers: [76, 30]
Generated Node #0,0,1: 67:[76, 30] Operation: 92-62=30
Moving to Node #0,0,1
Current State: 67:[76, 30], Operations: ['96-20=76', '92-62=30']
Exploring Operation: 76-30=46, Resulting Numbers: [46]
46,67 unequal: No Solution
Exploring Operation: 76+30=106, Resulting Numbers: [106]
106,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[62, 16], Operations: ['96-20=76', '92-76=16']
Exploring Operation: 62+16=78, Resulting Numbers: [78]
78,67 unequal: No Solution
Exploring Operation: 62-16=46, Resulting Numbers: [46]
46,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[96, 62, 72], Operations: ['92-20=72']
Exploring Operation: 96-62=34, Resulting Numbers: [72, 34]
Generated Node #0,1,0: 67:[72, 34] Operation: 96-62=34
Exploring Operation: 96-72=24, Resulting Numbers: [62, 24]
Generated Node #0,1,1: 67:[62, 24] Operation: 96-72=24
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[72, 34], Operations: ['92-20=72', '96-62=34']
Exploring Operation: 72-34=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Exploring Operation: 72+34=106, Resulting Numbers: [106]
106,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[62, 24], Operations: ['92-20=72', '96-72=24']
Exploring Operation: 62-24=38, Resulting Numbers: [38]
38,67 unequal: No Solution
Exploring Operation: 62+24=86, Resulting Numbers: [86]
86,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
69,
22,
4,
55
] | 98 | [
"69-22=47",
"55-4=51",
"47+51=98"
] | Current State: 98:[69, 22, 4, 55], Operations: []
Exploring Operation: 69-22=47, Resulting Numbers: [4, 55, 47]
Generated Node #2: [4, 55, 47] from Operation: 69-22=47
Current State: 98:[4, 55, 47], Operations: ['69-22=47']
Exploring Operation: 55-4=51, Resulting Numbers: [47, 51]
Generated Node #3: [47, 51] from Operation: 55-4=51
Current State: 98:[47, 51], Operations: ['69-22=47', '55-4=51']
Exploring Operation: 47+51=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[69, 22, 4, 55], Operations: []
Exploring Operation: 69-22=47, Resulting Numbers: [4, 55, 47]
Generated Node #0,0: 98:[4, 55, 47] Operation: 69-22=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[4, 55, 47], Operations: ['69-22=47']
Exploring Operation: 55-47=8, Resulting Numbers: [4, 8]
Generated Node #0,0,0: 98:[4, 8] Operation: 55-47=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[4, 8], Operations: ['69-22=47', '55-47=8']
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
75,
3,
30,
31
] | 26 | [
"75/3=25",
"31-30=1",
"25+1=26"
] | Current State: 26:[75, 3, 30, 31], Operations: []
Exploring Operation: 75/3=25, Resulting Numbers: [30, 31, 25]
Generated Node #2: [30, 31, 25] from Operation: 75/3=25
Current State: 26:[30, 31, 25], Operations: ['75/3=25']
Exploring Operation: 31-30=1, Resulting Numbers: [25, 1]
Generated Node #3: [25, 1] from Operation: 31-30=1
Current State: 26:[25, 1], Operations: ['75/3=25', '31-30=1']
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[75, 3, 30, 31], Operations: []
Exploring Operation: 75-31=44, Resulting Numbers: [3, 30, 44]
Generated Node #0,0: 26:[3, 30, 44] Operation: 75-31=44
Exploring Operation: 75/3=25, Resulting Numbers: [30, 31, 25]
Generated Node #0,1: 26:[30, 31, 25] Operation: 75/3=25
Moving to Node #0,1
Current State: 26:[30, 31, 25], Operations: ['75/3=25']
Exploring Operation: 31-30=1, Resulting Numbers: [25, 1]
Generated Node #0,1,0: 26:[25, 1] Operation: 31-30=1
Exploring Operation: 30-25=5, Resulting Numbers: [31, 5]
Generated Node #0,1,1: 26:[31, 5] Operation: 30-25=5
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 26:[25, 1], Operations: ['75/3=25', '31-30=1']
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[75, 3, 30, 31], Operations: []
Exploring Operation: 75/3=25, Resulting Numbers: [30, 31, 25]
Generated Node #0,1: 26:[30, 31, 25] Operation: 75/3=25
Moving to Node #0,1
Current State: 26:[30, 31, 25], Operations: ['75/3=25']
Exploring Operation: 31-30=1, Resulting Numbers: [25, 1]
Generated Node #0,1,0: 26:[25, 1] Operation: 31-30=1
Moving to Node #0,1,0
Current State: 26:[25, 1], Operations: ['75/3=25', '31-30=1']
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
69,
50,
75,
63
] | 19 | [
"69+50=119",
"75+63=138",
"138-119=19"
] | Current State: 19:[69, 50, 75, 63], Operations: []
Exploring Operation: 69+50=119, Resulting Numbers: [75, 63, 119]
Generated Node #2: [75, 63, 119] from Operation: 69+50=119
Current State: 19:[75, 63, 119], Operations: ['69+50=119']
Exploring Operation: 75+63=138, Resulting Numbers: [119, 138]
Generated Node #3: [119, 138] from Operation: 75+63=138
Current State: 19:[119, 138], Operations: ['69+50=119', '75+63=138']
Exploring Operation: 138-119=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[69, 50, 75, 63], Operations: []
Exploring Operation: 69-63=6, Resulting Numbers: [50, 75, 6]
Generated Node #0,0: 19:[50, 75, 6] Operation: 69-63=6
Exploring Operation: 69-50=19, Resulting Numbers: [75, 63, 19]
Generated Node #0,1: 19:[75, 63, 19] Operation: 69-50=19
Exploring Operation: 75-69=6, Resulting Numbers: [50, 63, 6]
Generated Node #0,2: 19:[50, 63, 6] Operation: 75-69=6
Exploring Operation: 75-63=12, Resulting Numbers: [69, 50, 12]
Generated Node #0,3: 19:[69, 50, 12] Operation: 75-63=12
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[50, 63, 6], Operations: ['75-69=6']
Exploring Operation: 63-50=13, Resulting Numbers: [6, 13]
Generated Node #0,2,0: 19:[6, 13] Operation: 63-50=13
Exploring Operation: 50+6=56, Resulting Numbers: [63, 56]
Generated Node #0,2,1: 19:[63, 56] Operation: 50+6=56
Exploring Operation: 50-6=44, Resulting Numbers: [63, 44]
Generated Node #0,2,2: 19:[63, 44] Operation: 50-6=44
Exploring Operation: 63-6=57, Resulting Numbers: [50, 57]
Generated Node #0,2,3: 19:[50, 57] Operation: 63-6=57
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 19:[6, 13], Operations: ['75-69=6', '63-50=13']
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,19 unequal: No Solution
Exploring Operation: 6+13=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[69, 50, 75, 63], Operations: []
Exploring Operation: 75-69=6, Resulting Numbers: [50, 63, 6]
Generated Node #0,2: 19:[50, 63, 6] Operation: 75-69=6
Moving to Node #0,2
Current State: 19:[50, 63, 6], Operations: ['75-69=6']
Exploring Operation: 63-50=13, Resulting Numbers: [6, 13]
Generated Node #0,2,0: 19:[6, 13] Operation: 63-50=13
Moving to Node #0,2,0
Current State: 19:[6, 13], Operations: ['75-69=6', '63-50=13']
Exploring Operation: 6+13=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
54,
11,
84,
17
] | 23 | [
"54+84=138",
"17-11=6",
"138/6=23"
] | Current State: 23:[54, 11, 84, 17], Operations: []
Exploring Operation: 54+84=138, Resulting Numbers: [11, 17, 138]
Generated Node #2: [11, 17, 138] from Operation: 54+84=138
Current State: 23:[11, 17, 138], Operations: ['54+84=138']
Exploring Operation: 17-11=6, Resulting Numbers: [138, 6]
Generated Node #3: [138, 6] from Operation: 17-11=6
Current State: 23:[138, 6], Operations: ['54+84=138', '17-11=6']
Exploring Operation: 138/6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[54, 11, 84, 17], Operations: []
Exploring Operation: 84-17=67, Resulting Numbers: [54, 11, 67]
Generated Node #0,0: 23:[54, 11, 67] Operation: 84-17=67
Exploring Operation: 84-11=73, Resulting Numbers: [54, 17, 73]
Generated Node #0,1: 23:[54, 17, 73] Operation: 84-11=73
Exploring Operation: 84-54=30, Resulting Numbers: [11, 17, 30]
Generated Node #0,2: 23:[11, 17, 30] Operation: 84-54=30
Exploring Operation: 54-17=37, Resulting Numbers: [11, 84, 37]
Generated Node #0,3: 23:[11, 84, 37] Operation: 54-17=37
Exploring Operation: 54-11=43, Resulting Numbers: [84, 17, 43]
Generated Node #0,4: 23:[84, 17, 43] Operation: 54-11=43
Moving to Node #0,2
Current State: 23:[11, 17, 30], Operations: ['84-54=30']
Exploring Operation: 11+30=41, Resulting Numbers: [17, 41]
Generated Node #0,2,0: 23:[17, 41] Operation: 11+30=41
Exploring Operation: 11+17=28, Resulting Numbers: [30, 28]
Generated Node #0,2,1: 23:[30, 28] Operation: 11+17=28
Exploring Operation: 30-17=13, Resulting Numbers: [11, 13]
Generated Node #0,2,2: 23:[11, 13] Operation: 30-17=13
Exploring Operation: 17-11=6, Resulting Numbers: [30, 6]
Generated Node #0,2,3: 23:[30, 6] Operation: 17-11=6
Exploring Operation: 30-11=19, Resulting Numbers: [17, 19]
Generated Node #0,2,4: 23:[17, 19] Operation: 30-11=19
Moving to Node #0,1
Current State: 23:[54, 17, 73], Operations: ['84-11=73']
Exploring Operation: 54-17=37, Resulting Numbers: [73, 37]
Generated Node #0,1,0: 23:[73, 37] Operation: 54-17=37
Exploring Operation: 54+17=71, Resulting Numbers: [73, 71]
Generated Node #0,1,1: 23:[73, 71] Operation: 54+17=71
Exploring Operation: 73-17=56, Resulting Numbers: [54, 56]
Generated Node #0,1,2: 23:[54, 56] Operation: 73-17=56
Exploring Operation: 73-54=19, Resulting Numbers: [17, 19]
Generated Node #0,1,3: 23:[17, 19] Operation: 73-54=19
Exploring Operation: 17+73=90, Resulting Numbers: [54, 90]
Generated Node #0,1,4: 23:[54, 90] Operation: 17+73=90
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 23:[17, 19], Operations: ['84-11=73', '73-54=19']
Exploring Operation: 17+19=36, Resulting Numbers: [36]
36,23 unequal: No Solution
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 17*19=323, Resulting Numbers: [323]
323,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 23:[73, 37], Operations: ['84-11=73', '54-17=37']
Exploring Operation: 73-37=36, Resulting Numbers: [36]
36,23 unequal: No Solution
Exploring Operation: 73+37=110, Resulting Numbers: [110]
110,23 unequal: No Solution
Exploring Operation: 73*37=2701, Resulting Numbers: [2701]
2701,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 23:[54, 56], Operations: ['84-11=73', '73-17=56']
Exploring Operation: 56-54=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 54+56=110, Resulting Numbers: [110]
110,23 unequal: No Solution
Exploring Operation: 54*56=3024, Resulting Numbers: [3024]
3024,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 23:[73, 71], Operations: ['84-11=73', '54+17=71']
Exploring Operation: 73+71=144, Resulting Numbers: [144]
144,23 unequal: No Solution
Exploring Operation: 73*71=5183, Resulting Numbers: [5183]
5183,23 unequal: No Solution
Exploring Operation: 73-71=2, Resulting Numbers: [2]
2,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 23:[54, 90], Operations: ['84-11=73', '17+73=90']
Exploring Operation: 54*90=4860, Resulting Numbers: [4860]
4860,23 unequal: No Solution
Exploring Operation: 90-54=36, Resulting Numbers: [36]
36,23 unequal: No Solution
Exploring Operation: 54+90=144, Resulting Numbers: [144]
144,23 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: 23:[84, 17, 43], Operations: ['54-11=43']
Exploring Operation: 84-17=67, Resulting Numbers: [43, 67]
Generated Node #0,4,0: 23:[43, 67] Operation: 84-17=67
Exploring Operation: 17+43=60, Resulting Numbers: [84, 60]
Generated Node #0,4,1: 23:[84, 60] Operation: 17+43=60
Exploring Operation: 84-43=41, Resulting Numbers: [17, 41]
Generated Node #0,4,2: 23:[17, 41] Operation: 84-43=41
Exploring Operation: 84+17=101, Resulting Numbers: [43, 101]
Generated Node #0,4,3: 23:[43, 101] Operation: 84+17=101
Exploring Operation: 43-17=26, Resulting Numbers: [84, 26]
Generated Node #0,4,4: 23:[84, 26] Operation: 43-17=26
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 23:[17, 41], Operations: ['54-11=43', '84-43=41']
Exploring Operation: 17*41=697, Resulting Numbers: [697]
697,23 unequal: No Solution
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,23 unequal: No Solution
Exploring Operation: 17+41=58, Resulting Numbers: [58]
58,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 23:[43, 67], Operations: ['54-11=43', '84-17=67']
Exploring Operation: 43*67=2881, Resulting Numbers: [2881]
2881,23 unequal: No Solution
Exploring Operation: 67-43=24, Resulting Numbers: [24]
24,23 unequal: No Solution
Exploring Operation: 43+67=110, Resulting Numbers: [110]
110,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 23:[84, 26], Operations: ['54-11=43', '43-17=26']
Exploring Operation: 84*26=2184, Resulting Numbers: [2184]
2184,23 unequal: No Solution
Exploring Operation: 84-26=58, Resulting Numbers: [58]
58,23 unequal: No Solution
Exploring Operation: 84+26=110, Resulting Numbers: [110]
110,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 23:[84, 60], Operations: ['54-11=43', '17+43=60']
Exploring Operation: 84*60=5040, Resulting Numbers: [5040]
5040,23 unequal: No Solution
Exploring Operation: 84-60=24, Resulting Numbers: [24]
24,23 unequal: No Solution
Exploring Operation: 84+60=144, Resulting Numbers: [144]
144,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 23:[43, 101], Operations: ['54-11=43', '84+17=101']
Exploring Operation: 43+101=144, Resulting Numbers: [144]
144,23 unequal: No Solution
Exploring Operation: 101-43=58, Resulting Numbers: [58]
58,23 unequal: No Solution
Exploring Operation: 43*101=4343, Resulting Numbers: [4343]
4343,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 23:[54, 11, 67], Operations: ['84-17=67']
Exploring Operation: 67-54=13, Resulting Numbers: [11, 13]
Generated Node #0,0,0: 23:[11, 13] Operation: 67-54=13
Exploring Operation: 54-11=43, Resulting Numbers: [67, 43]
Generated Node #0,0,1: 23:[67, 43] Operation: 54-11=43
Exploring Operation: 11+67=78, Resulting Numbers: [54, 78]
Generated Node #0,0,2: 23:[54, 78] Operation: 11+67=78
Exploring Operation: 67-11=56, Resulting Numbers: [54, 56]
Generated Node #0,0,3: 23:[54, 56] Operation: 67-11=56
Exploring Operation: 54+11=65, Resulting Numbers: [67, 65]
Generated Node #0,0,4: 23:[67, 65] Operation: 54+11=65
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[11, 13], Operations: ['84-17=67', '67-54=13']
Exploring Operation: 11+13=24, Resulting Numbers: [24]
24,23 unequal: No Solution
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 11*13=143, Resulting Numbers: [143]
143,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 23:[67, 43], Operations: ['84-17=67', '54-11=43']
Exploring Operation: 67+43=110, Resulting Numbers: [110]
110,23 unequal: No Solution
Exploring Operation: 67-43=24, Resulting Numbers: [24]
24,23 unequal: No Solution
Exploring Operation: 67*43=2881, Resulting Numbers: [2881]
2881,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 23:[54, 56], Operations: ['84-17=67', '67-11=56']
Exploring Operation: 56-54=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 54+56=110, Resulting Numbers: [110]
110,23 unequal: No Solution
Exploring Operation: 54*56=3024, Resulting Numbers: [3024]
3024,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 23:[54, 78], Operations: ['84-17=67', '11+67=78']
Exploring Operation: 78-54=24, Resulting Numbers: [24]
24,23 unequal: No Solution
Exploring Operation: 54+78=132, Resulting Numbers: [132]
132,23 unequal: No Solution
Exploring Operation: 54*78=4212, Resulting Numbers: [4212]
4212,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 23:[67, 65], Operations: ['84-17=67', '54+11=65']
Exploring Operation: 67*65=4355, Resulting Numbers: [4355]
4355,23 unequal: No Solution
Exploring Operation: 67-65=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 67+65=132, Resulting Numbers: [132]
132,23 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: 23:[11, 84, 37], Operations: ['54-17=37']
Exploring Operation: 84-11=73, Resulting Numbers: [37, 73]
Generated Node #0,3,0: 23:[37, 73] Operation: 84-11=73
Exploring Operation: 11+84=95, Resulting Numbers: [37, 95]
Generated Node #0,3,1: 23:[37, 95] Operation: 11+84=95
Exploring Operation: 84-37=47, Resulting Numbers: [11, 47]
Generated Node #0,3,2: 23:[11, 47] Operation: 84-37=47
Exploring Operation: 11+37=48, Resulting Numbers: [84, 48]
Generated Node #0,3,3: 23:[84, 48] Operation: 11+37=48
Exploring Operation: 37-11=26, Resulting Numbers: [84, 26]
Generated Node #0,3,4: 23:[84, 26] Operation: 37-11=26
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 23:[11, 47], Operations: ['54-17=37', '84-37=47']
Exploring Operation: 11*47=517, Resulting Numbers: [517]
517,23 unequal: No Solution
Exploring Operation: 11+47=58, Resulting Numbers: [58]
58,23 unequal: No Solution
Exploring Operation: 47-11=36, Resulting Numbers: [36]
36,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 23:[37, 73], Operations: ['54-17=37', '84-11=73']
Exploring Operation: 37+73=110, Resulting Numbers: [110]
110,23 unequal: No Solution
Exploring Operation: 73-37=36, Resulting Numbers: [36]
36,23 unequal: No Solution
Exploring Operation: 37*73=2701, Resulting Numbers: [2701]
2701,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 23:[84, 26], Operations: ['54-17=37', '37-11=26']
Exploring Operation: 84+26=110, Resulting Numbers: [110]
110,23 unequal: No Solution
Exploring Operation: 84*26=2184, Resulting Numbers: [2184]
2184,23 unequal: No Solution
Exploring Operation: 84-26=58, Resulting Numbers: [58]
58,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 23:[37, 95], Operations: ['54-17=37', '11+84=95']
Exploring Operation: 95-37=58, Resulting Numbers: [58]
58,23 unequal: No Solution
Exploring Operation: 37+95=132, Resulting Numbers: [132]
132,23 unequal: No Solution
Exploring Operation: 37*95=3515, Resulting Numbers: [3515]
3515,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 23:[84, 48], Operations: ['54-17=37', '11+37=48']
Exploring Operation: 84+48=132, Resulting Numbers: [132]
132,23 unequal: No Solution
Exploring Operation: 84*48=4032, Resulting Numbers: [4032]
4032,23 unequal: No Solution
Exploring Operation: 84-48=36, Resulting Numbers: [36]
36,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,4
Current State: 23:[17, 19], Operations: ['84-54=30', '30-11=19']
Exploring Operation: 17+19=36, Resulting Numbers: [36]
36,23 unequal: No Solution
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 17*19=323, Resulting Numbers: [323]
323,23 unequal: No Solution
Moving to Node #0,2,1
Current State: 23:[30, 28], Operations: ['84-54=30', '11+17=28']
Exploring Operation: 30*28=840, Resulting Numbers: [840]
840,23 unequal: No Solution
Exploring Operation: 30+28=58, Resulting Numbers: [58]
58,23 unequal: No Solution
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Moving to Node #0,2,2
Current State: 23:[11, 13], Operations: ['84-54=30', '30-17=13']
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 11*13=143, Resulting Numbers: [143]
143,23 unequal: No Solution
Exploring Operation: 11+13=24, Resulting Numbers: [24]
24,23 unequal: No Solution
Moving to Node #0,2,0
Current State: 23:[17, 41], Operations: ['84-54=30', '11+30=41']
Exploring Operation: 17*41=697, Resulting Numbers: [697]
697,23 unequal: No Solution
Exploring Operation: 17+41=58, Resulting Numbers: [58]
58,23 unequal: No Solution
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,23 unequal: No Solution
Moving to Node #0,2,3
Current State: 23:[30, 6], Operations: ['84-54=30', '17-11=6']
Exploring Operation: 30*6=180, Resulting Numbers: [180]
180,23 unequal: No Solution
Exploring Operation: 30+6=36, Resulting Numbers: [36]
36,23 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,23 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,23 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
78,
3,
92,
87
] | 31 | [
"78/3=26",
"92-87=5",
"26+5=31"
] | Current State: 31:[78, 3, 92, 87], Operations: []
Exploring Operation: 78/3=26, Resulting Numbers: [92, 87, 26]
Generated Node #2: [92, 87, 26] from Operation: 78/3=26
Current State: 31:[92, 87, 26], Operations: ['78/3=26']
Exploring Operation: 92-87=5, Resulting Numbers: [26, 5]
Generated Node #3: [26, 5] from Operation: 92-87=5
Current State: 31:[26, 5], Operations: ['78/3=26', '92-87=5']
Exploring Operation: 26+5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[78, 3, 92, 87], Operations: []
Exploring Operation: 92-78=14, Resulting Numbers: [3, 87, 14]
Generated Node #0,0: 31:[3, 87, 14] Operation: 92-78=14
Exploring Operation: 87/3=29, Resulting Numbers: [78, 92, 29]
Generated Node #0,1: 31:[78, 92, 29] Operation: 87/3=29
Exploring Operation: 92-87=5, Resulting Numbers: [78, 3, 5]
Generated Node #0,2: 31:[78, 3, 5] Operation: 92-87=5
Moving to Node #0,0
Current State: 31:[3, 87, 14], Operations: ['92-78=14']
Exploring Operation: 3*14=42, Resulting Numbers: [87, 42]
Generated Node #0,0,0: 31:[87, 42] Operation: 3*14=42
Exploring Operation: 87/3=29, Resulting Numbers: [14, 29]
Generated Node #0,0,1: 31:[14, 29] Operation: 87/3=29
Exploring Operation: 87-3=84, Resulting Numbers: [14, 84]
Generated Node #0,0,2: 31:[14, 84] Operation: 87-3=84
Moving to Node #0,2
Current State: 31:[78, 3, 5], Operations: ['92-87=5']
Exploring Operation: 78/3=26, Resulting Numbers: [5, 26]
Generated Node #0,2,0: 31:[5, 26] Operation: 78/3=26
Exploring Operation: 3*5=15, Resulting Numbers: [78, 15]
Generated Node #0,2,1: 31:[78, 15] Operation: 3*5=15
Exploring Operation: 78-3=75, Resulting Numbers: [5, 75]
Generated Node #0,2,2: 31:[5, 75] Operation: 78-3=75
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 31:[5, 26], Operations: ['92-87=5', '78/3=26']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,31 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[78, 3, 92, 87], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [78, 3, 5]
Generated Node #0,2: 31:[78, 3, 5] Operation: 92-87=5
Moving to Node #0,2
Current State: 31:[78, 3, 5], Operations: ['92-87=5']
Exploring Operation: 78/3=26, Resulting Numbers: [5, 26]
Generated Node #0,2,0: 31:[5, 26] Operation: 78/3=26
Moving to Node #0,2,0
Current State: 31:[5, 26], Operations: ['92-87=5', '78/3=26']
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
3,
63,
13,
60
] | 54 | [
"63+60=123",
"123/3=41",
"13+41=54"
] | Current State: 54:[3, 63, 13, 60], Operations: []
Exploring Operation: 63+60=123, Resulting Numbers: [3, 13, 123]
Generated Node #2: [3, 13, 123] from Operation: 63+60=123
Current State: 54:[3, 13, 123], Operations: ['63+60=123']
Exploring Operation: 123/3=41, Resulting Numbers: [13, 41]
Generated Node #3: [13, 41] from Operation: 123/3=41
Current State: 54:[13, 41], Operations: ['63+60=123', '123/3=41']
Exploring Operation: 13+41=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[3, 63, 13, 60], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [3, 13, 3]
Generated Node #0,0: 54:[3, 13, 3] Operation: 63-60=3
Exploring Operation: 63-13=50, Resulting Numbers: [3, 60, 50]
Generated Node #0,1: 54:[3, 60, 50] Operation: 63-13=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[3, 13, 3], Operations: ['63-60=3']
Exploring Operation: 13-3=10, Resulting Numbers: [3, 10]
Generated Node #0,0,0: 54:[3, 10] Operation: 13-3=10
Exploring Operation: 13-3=10, Resulting Numbers: [3, 10]
Generated Node #0,0,1: 54:[3, 10] Operation: 13-3=10
Moving to Node #0,0,0
Current State: 54:[3, 10], Operations: ['63-60=3', '13-3=10']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,54 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,54 unequal: No Solution
Moving to Node #0,0,1
Current State: 54:[3, 10], Operations: ['63-60=3', '13-3=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,54 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[3, 60, 50], Operations: ['63-13=50']
Exploring Operation: 60-50=10, Resulting Numbers: [3, 10]
Generated Node #0,1,0: 54:[3, 10] Operation: 60-50=10
Exploring Operation: 60/3=20, Resulting Numbers: [50, 20]
Generated Node #0,1,1: 54:[50, 20] Operation: 60/3=20
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 54:[3, 10], Operations: ['63-13=50', '60-50=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,54 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,54 unequal: No Solution
No 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: 54:[50, 20], Operations: ['63-13=50', '60/3=20']
Exploring Operation: 50+20=70, Resulting Numbers: [70]
70,54 unequal: No Solution
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
61,
40,
43,
35
] | 44 | [
"43-40=3",
"35*3=105",
"105-61=44"
] | Current State: 44:[61, 40, 43, 35], Operations: []
Exploring Operation: 43-40=3, Resulting Numbers: [61, 35, 3]
Generated Node #2: [61, 35, 3] from Operation: 43-40=3
Current State: 44:[61, 35, 3], Operations: ['43-40=3']
Exploring Operation: 35*3=105, Resulting Numbers: [61, 105]
Generated Node #3: [61, 105] from Operation: 35*3=105
Current State: 44:[61, 105], Operations: ['43-40=3', '35*3=105']
Exploring Operation: 105-61=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[61, 40, 43, 35], Operations: []
Exploring Operation: 61-35=26, Resulting Numbers: [40, 43, 26]
Generated Node #0,0: 44:[40, 43, 26] Operation: 61-35=26
Moving to Node #0,0
Current State: 44:[40, 43, 26], Operations: ['61-35=26']
Exploring Operation: 40-26=14, Resulting Numbers: [43, 14]
Generated Node #0,0,0: 44:[43, 14] Operation: 40-26=14
Moving to Node #0,0,0
Current State: 44:[43, 14], Operations: ['61-35=26', '40-26=14']
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,44 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
48,
14,
70,
74
] | 17 | [
"70+74=144",
"144/48=3",
"14+3=17"
] | Current State: 17:[48, 14, 70, 74], Operations: []
Exploring Operation: 70+74=144, Resulting Numbers: [48, 14, 144]
Generated Node #2: [48, 14, 144] from Operation: 70+74=144
Current State: 17:[48, 14, 144], Operations: ['70+74=144']
Exploring Operation: 144/48=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 144/48=3
Current State: 17:[14, 3], Operations: ['70+74=144', '144/48=3']
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[48, 14, 70, 74], Operations: []
Exploring Operation: 70-48=22, Resulting Numbers: [14, 74, 22]
Generated Node #0,0: 17:[14, 74, 22] Operation: 70-48=22
Exploring Operation: 74-48=26, Resulting Numbers: [14, 70, 26]
Generated Node #0,1: 17:[14, 70, 26] Operation: 74-48=26
Exploring Operation: 74-70=4, Resulting Numbers: [48, 14, 4]
Generated Node #0,2: 17:[48, 14, 4] Operation: 74-70=4
Exploring Operation: 70/14=5, Resulting Numbers: [48, 74, 5]
Generated Node #0,3: 17:[48, 74, 5] Operation: 70/14=5
Moving to Node #0,2
Current State: 17:[48, 14, 4], Operations: ['74-70=4']
Exploring Operation: 48-14=34, Resulting Numbers: [4, 34]
Generated Node #0,2,0: 17:[4, 34] Operation: 48-14=34
Exploring Operation: 48/4=12, Resulting Numbers: [14, 12]
Generated Node #0,2,1: 17:[14, 12] Operation: 48/4=12
Exploring Operation: 14+4=18, Resulting Numbers: [48, 18]
Generated Node #0,2,2: 17:[48, 18] Operation: 14+4=18
Exploring Operation: 48-4=44, Resulting Numbers: [14, 44]
Generated Node #0,2,3: 17:[14, 44] Operation: 48-4=44
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 17:[14, 12], Operations: ['74-70=4', '48/4=12']
Exploring Operation: 14+12=26, Resulting Numbers: [26]
26,17 unequal: No Solution
Exploring Operation: 14*12=168, Resulting Numbers: [168]
168,17 unequal: No Solution
Exploring Operation: 14-12=2, Resulting Numbers: [2]
2,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 17:[4, 34], Operations: ['74-70=4', '48-14=34']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,17 unequal: No Solution
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,17 unequal: No Solution
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 17:[14, 44], Operations: ['74-70=4', '48-4=44']
Exploring Operation: 14+44=58, Resulting Numbers: [58]
58,17 unequal: No Solution
Exploring Operation: 14*44=616, Resulting Numbers: [616]
616,17 unequal: No Solution
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 17:[48, 18], Operations: ['74-70=4', '14+4=18']
Exploring Operation: 48*18=864, Resulting Numbers: [864]
864,17 unequal: No Solution
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,17 unequal: No Solution
Exploring Operation: 48+18=66, Resulting Numbers: [66]
66,17 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: 17:[14, 70, 26], Operations: ['74-48=26']
Exploring Operation: 70-14=56, Resulting Numbers: [26, 56]
Generated Node #0,1,0: 17:[26, 56] Operation: 70-14=56
Exploring Operation: 70-26=44, Resulting Numbers: [14, 44]
Generated Node #0,1,1: 17:[14, 44] Operation: 70-26=44
Exploring Operation: 70/14=5, Resulting Numbers: [26, 5]
Generated Node #0,1,2: 17:[26, 5] Operation: 70/14=5
Exploring Operation: 26-14=12, Resulting Numbers: [70, 12]
Generated Node #0,1,3: 17:[70, 12] Operation: 26-14=12
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 17:[26, 5], Operations: ['74-48=26', '70/14=5']
Exploring Operation: 26+5=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Exploring Operation: 26*5=130, Resulting Numbers: [130]
130,17 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 17:[14, 44], Operations: ['74-48=26', '70-26=44']
Exploring Operation: 14+44=58, Resulting Numbers: [58]
58,17 unequal: No Solution
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,17 unequal: No Solution
Exploring Operation: 14*44=616, Resulting Numbers: [616]
616,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 17:[26, 56], Operations: ['74-48=26', '70-14=56']
Exploring Operation: 56-26=30, Resulting Numbers: [30]
30,17 unequal: No Solution
Exploring Operation: 26*56=1456, Resulting Numbers: [1456]
1456,17 unequal: No Solution
Exploring Operation: 26+56=82, Resulting Numbers: [82]
82,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 17:[70, 12], Operations: ['74-48=26', '26-14=12']
Exploring Operation: 70+12=82, Resulting Numbers: [82]
82,17 unequal: No Solution
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,17 unequal: No Solution
Exploring Operation: 70*12=840, Resulting Numbers: [840]
840,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 17:[14, 74, 22], Operations: ['70-48=22']
Exploring Operation: 74-22=52, Resulting Numbers: [14, 52]
Generated Node #0,0,0: 17:[14, 52] Operation: 74-22=52
Exploring Operation: 22-14=8, Resulting Numbers: [74, 8]
Generated Node #0,0,1: 17:[74, 8] Operation: 22-14=8
Exploring Operation: 14+74=88, Resulting Numbers: [22, 88]
Generated Node #0,0,2: 17:[22, 88] Operation: 14+74=88
Exploring Operation: 74-14=60, Resulting Numbers: [22, 60]
Generated Node #0,0,3: 17:[22, 60] Operation: 74-14=60
Moving to Node #0,3
Current State: 17:[48, 74, 5], Operations: ['70/14=5']
Exploring Operation: 74-5=69, Resulting Numbers: [48, 69]
Generated Node #0,3,0: 17:[48, 69] Operation: 74-5=69
Exploring Operation: 48-5=43, Resulting Numbers: [74, 43]
Generated Node #0,3,1: 17:[74, 43] Operation: 48-5=43
Exploring Operation: 74-48=26, Resulting Numbers: [5, 26]
Generated Node #0,3,2: 17:[5, 26] Operation: 74-48=26
Exploring Operation: 48+5=53, Resulting Numbers: [74, 53]
Generated Node #0,3,3: 17:[74, 53] Operation: 48+5=53
Moving to Node #0,3,2
Current State: 17:[5, 26], Operations: ['70/14=5', '74-48=26']
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,17 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,17 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Moving to Node #0,0,0
Current State: 17:[14, 52], Operations: ['70-48=22', '74-22=52']
Exploring Operation: 14*52=728, Resulting Numbers: [728]
728,17 unequal: No Solution
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,17 unequal: No Solution
Exploring Operation: 14+52=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Moving to Node #0,0,3
Current State: 17:[22, 60], Operations: ['70-48=22', '74-14=60']
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,17 unequal: No Solution
Exploring Operation: 22*60=1320, Resulting Numbers: [1320]
1320,17 unequal: No Solution
Exploring Operation: 22+60=82, Resulting Numbers: [82]
82,17 unequal: No Solution
Moving to Node #0,0,1
Current State: 17:[74, 8], Operations: ['70-48=22', '22-14=8']
Exploring Operation: 74*8=592, Resulting Numbers: [592]
592,17 unequal: No Solution
Exploring Operation: 74-8=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Exploring Operation: 74+8=82, Resulting Numbers: [82]
82,17 unequal: No Solution
Moving to Node #0,0,2
Current State: 17:[22, 88], Operations: ['70-48=22', '14+74=88']
Exploring Operation: 22+88=110, Resulting Numbers: [110]
110,17 unequal: No Solution
Exploring Operation: 22*88=1936, Resulting Numbers: [1936]
1936,17 unequal: No Solution
Exploring Operation: 88-22=66, Resulting Numbers: [66]
66,17 unequal: No Solution
Exploring Operation: 88/22=4, Resulting Numbers: [4]
4,17 unequal: No Solution
Moving to Node #0,3,0
Current State: 17:[48, 69], Operations: ['70/14=5', '74-5=69']
Exploring Operation: 48+69=117, Resulting Numbers: [117]
117,17 unequal: No Solution
Exploring Operation: 48*69=3312, Resulting Numbers: [3312]
3312,17 unequal: No Solution
Exploring Operation: 69-48=21, Resulting Numbers: [21]
21,17 unequal: No Solution
Moving to Node #0,3,1
Current State: 17:[74, 43], Operations: ['70/14=5', '48-5=43']
Exploring Operation: 74+43=117, Resulting Numbers: [117]
117,17 unequal: No Solution
Exploring Operation: 74*43=3182, Resulting Numbers: [3182]
3182,17 unequal: No Solution
Exploring Operation: 74-43=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Moving to Node #0,3,3
Current State: 17:[74, 53], Operations: ['70/14=5', '48+5=53']
Exploring Operation: 74-53=21, Resulting Numbers: [21]
21,17 unequal: No Solution
Exploring Operation: 74*53=3922, Resulting Numbers: [3922]
3922,17 unequal: No Solution
Exploring Operation: 74+53=127, Resulting Numbers: [127]
127,17 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
87,
12,
50,
99
] | 51 | [
"87+12=99",
"99/99=1",
"50+1=51"
] | Current State: 51:[87, 12, 50, 99], Operations: []
Exploring Operation: 87+12=99, Resulting Numbers: [50, 99, 99]
Generated Node #2: [50, 99, 99] from Operation: 87+12=99
Current State: 51:[50, 99, 99], Operations: ['87+12=99']
Exploring Operation: 99/99=1, Resulting Numbers: [50, 1]
Generated Node #3: [50, 1] from Operation: 99/99=1
Current State: 51:[50, 1], Operations: ['87+12=99', '99/99=1']
Exploring Operation: 50+1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[87, 12, 50, 99], Operations: []
Exploring Operation: 99-50=49, Resulting Numbers: [87, 12, 49]
Generated Node #0,0: 51:[87, 12, 49] Operation: 99-50=49
Exploring Operation: 99-87=12, Resulting Numbers: [12, 50, 12]
Generated Node #0,1: 51:[12, 50, 12] Operation: 99-87=12
Exploring Operation: 87-12=75, Resulting Numbers: [50, 99, 75]
Generated Node #0,2: 51:[50, 99, 75] Operation: 87-12=75
Exploring Operation: 87-50=37, Resulting Numbers: [12, 99, 37]
Generated Node #0,3: 51:[12, 99, 37] Operation: 87-50=37
Moving to Node #0,1
Current State: 51:[12, 50, 12], Operations: ['99-87=12']
Exploring Operation: 12/12=1, Resulting Numbers: [50, 1]
Generated Node #0,1,0: 51:[50, 1] Operation: 12/12=1
Exploring Operation: 12-12=0, Resulting Numbers: [50, 0]
Generated Node #0,1,1: 51:[50, 0] Operation: 12-12=0
Exploring Operation: 12+50=62, Resulting Numbers: [12, 62]
Generated Node #0,1,2: 51:[12, 62] Operation: 12+50=62
Exploring Operation: 12+12=24, Resulting Numbers: [50, 24]
Generated Node #0,1,3: 51:[50, 24] Operation: 12+12=24
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 51:[50, 1], Operations: ['99-87=12', '12/12=1']
Exploring Operation: 50+1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[87, 12, 50, 99], Operations: []
Exploring Operation: 99-87=12, Resulting Numbers: [12, 50, 12]
Generated Node #0,1: 51:[12, 50, 12] Operation: 99-87=12
Moving to Node #0,1
Current State: 51:[12, 50, 12], Operations: ['99-87=12']
Exploring Operation: 12/12=1, Resulting Numbers: [50, 1]
Generated Node #0,1,0: 51:[50, 1] Operation: 12/12=1
Moving to Node #0,1,0
Current State: 51:[50, 1], Operations: ['99-87=12', '12/12=1']
Exploring Operation: 50+1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
26,
59,
33,
15
] | 37 | [
"26+59=85",
"33+15=48",
"85-48=37"
] | Current State: 37:[26, 59, 33, 15], Operations: []
Exploring Operation: 26+59=85, Resulting Numbers: [33, 15, 85]
Generated Node #2: [33, 15, 85] from Operation: 26+59=85
Current State: 37:[33, 15, 85], Operations: ['26+59=85']
Exploring Operation: 33+15=48, Resulting Numbers: [85, 48]
Generated Node #3: [85, 48] from Operation: 33+15=48
Current State: 37:[85, 48], Operations: ['26+59=85', '33+15=48']
Exploring Operation: 85-48=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[26, 59, 33, 15], Operations: []
Exploring Operation: 59-26=33, Resulting Numbers: [33, 15, 33]
Generated Node #0,0: 37:[33, 15, 33] Operation: 59-26=33
Exploring Operation: 59-15=44, Resulting Numbers: [26, 33, 44]
Generated Node #0,1: 37:[26, 33, 44] Operation: 59-15=44
Moving to Node #0,1
Current State: 37:[26, 33, 44], Operations: ['59-15=44']
Exploring Operation: 44-26=18, Resulting Numbers: [33, 18]
Generated Node #0,1,0: 37:[33, 18] Operation: 44-26=18
Exploring Operation: 26+33=59, Resulting Numbers: [44, 59]
Generated Node #0,1,1: 37:[44, 59] Operation: 26+33=59
Moving to Node #0,0
Current State: 37:[33, 15, 33], Operations: ['59-26=33']
Exploring Operation: 33+15=48, Resulting Numbers: [33, 48]
Generated Node #0,0,0: 37:[33, 48] Operation: 33+15=48
Exploring Operation: 15+33=48, Resulting Numbers: [33, 48]
Generated Node #0,0,1: 37:[33, 48] Operation: 15+33=48
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[33, 48], Operations: ['59-26=33', '33+15=48']
Exploring Operation: 33+48=81, Resulting Numbers: [81]
81,37 unequal: No Solution
Exploring Operation: 48-33=15, Resulting Numbers: [15]
15,37 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 #0,0,1
Current State: 37:[33, 48], Operations: ['59-26=33', '15+33=48']
Exploring Operation: 33+48=81, Resulting Numbers: [81]
81,37 unequal: No Solution
Exploring Operation: 48-33=15, Resulting Numbers: [15]
15,37 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: 37:[33, 18], Operations: ['59-15=44', '44-26=18']
Exploring Operation: 33+18=51, Resulting Numbers: [51]
51,37 unequal: No Solution
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[44, 59], Operations: ['59-15=44', '26+33=59']
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,37 unequal: No Solution
Exploring Operation: 44+59=103, Resulting Numbers: [103]
103,37 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
10,
83,
92,
78
] | 46 | [
"83-78=5",
"10/5=2",
"92/2=46"
] | Current State: 46:[10, 83, 92, 78], Operations: []
Exploring Operation: 83-78=5, Resulting Numbers: [10, 92, 5]
Generated Node #2: [10, 92, 5] from Operation: 83-78=5
Current State: 46:[10, 92, 5], Operations: ['83-78=5']
Exploring Operation: 10/5=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 10/5=2
Current State: 46:[92, 2], Operations: ['83-78=5', '10/5=2']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[10, 83, 92, 78], Operations: []
Exploring Operation: 92-83=9, Resulting Numbers: [10, 78, 9]
Generated Node #0,0: 46:[10, 78, 9] Operation: 92-83=9
Moving to Node #0,0
Current State: 46:[10, 78, 9], Operations: ['92-83=9']
Exploring Operation: 78-10=68, Resulting Numbers: [9, 68]
Generated Node #0,0,0: 46:[9, 68] Operation: 78-10=68
Moving to Node #0,0,0
Current State: 46:[9, 68], Operations: ['92-83=9', '78-10=68']
Exploring Operation: 68-9=59, Resulting Numbers: [59]
59,46 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
54,
71,
65,
21
] | 81 | [
"54+71=125",
"65-21=44",
"125-44=81"
] | Current State: 81:[54, 71, 65, 21], Operations: []
Exploring Operation: 54+71=125, Resulting Numbers: [65, 21, 125]
Generated Node #2: [65, 21, 125] from Operation: 54+71=125
Current State: 81:[65, 21, 125], Operations: ['54+71=125']
Exploring Operation: 65-21=44, Resulting Numbers: [125, 44]
Generated Node #3: [125, 44] from Operation: 65-21=44
Current State: 81:[125, 44], Operations: ['54+71=125', '65-21=44']
Exploring Operation: 125-44=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[54, 71, 65, 21], Operations: []
Exploring Operation: 71-65=6, Resulting Numbers: [54, 21, 6]
Generated Node #0,0: 81:[54, 21, 6] Operation: 71-65=6
Exploring Operation: 65-54=11, Resulting Numbers: [71, 21, 11]
Generated Node #0,1: 81:[71, 21, 11] Operation: 65-54=11
Exploring Operation: 54+21=75, Resulting Numbers: [71, 65, 75]
Generated Node #0,2: 81:[71, 65, 75] Operation: 54+21=75
Exploring Operation: 71-54=17, Resulting Numbers: [65, 21, 17]
Generated Node #0,3: 81:[65, 21, 17] Operation: 71-54=17
Exploring Operation: 54-21=33, Resulting Numbers: [71, 65, 33]
Generated Node #0,4: 81:[71, 65, 33] Operation: 54-21=33
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[71, 21, 11], Operations: ['65-54=11']
Exploring Operation: 71+11=82, Resulting Numbers: [21, 82]
Generated Node #0,1,0: 81:[21, 82] Operation: 71+11=82
Exploring Operation: 71+21=92, Resulting Numbers: [11, 92]
Generated Node #0,1,1: 81:[11, 92] Operation: 71+21=92
Exploring Operation: 71-21=50, Resulting Numbers: [11, 50]
Generated Node #0,1,2: 81:[11, 50] Operation: 71-21=50
Exploring Operation: 21-11=10, Resulting Numbers: [71, 10]
Generated Node #0,1,3: 81:[71, 10] Operation: 21-11=10
Exploring Operation: 21+11=32, Resulting Numbers: [71, 32]
Generated Node #0,1,4: 81:[71, 32] Operation: 21+11=32
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 81:[21, 82], Operations: ['65-54=11', '71+11=82']
Exploring Operation: 21*82=1722, Resulting Numbers: [1722]
1722,81 unequal: No Solution
Exploring Operation: 82-21=61, Resulting Numbers: [61]
61,81 unequal: No Solution
Exploring Operation: 21+82=103, Resulting Numbers: [103]
103,81 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 #0,1,3
Current State: 81:[71, 10], Operations: ['65-54=11', '21-11=10']
Exploring Operation: 71+10=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[54, 71, 65, 21], Operations: []
Exploring Operation: 65-54=11, Resulting Numbers: [71, 21, 11]
Generated Node #0,1: 81:[71, 21, 11] Operation: 65-54=11
Moving to Node #0,1
Current State: 81:[71, 21, 11], Operations: ['65-54=11']
Exploring Operation: 21-11=10, Resulting Numbers: [71, 10]
Generated Node #0,1,3: 81:[71, 10] Operation: 21-11=10
Moving to Node #0,1,3
Current State: 81:[71, 10], Operations: ['65-54=11', '21-11=10']
Exploring Operation: 71+10=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
56,
4,
26,
91
] | 13 | [
"56-4=52",
"91-26=65",
"65-52=13"
] | Current State: 13:[56, 4, 26, 91], Operations: []
Exploring Operation: 56-4=52, Resulting Numbers: [26, 91, 52]
Generated Node #2: [26, 91, 52] from Operation: 56-4=52
Current State: 13:[26, 91, 52], Operations: ['56-4=52']
Exploring Operation: 91-26=65, Resulting Numbers: [52, 65]
Generated Node #3: [52, 65] from Operation: 91-26=65
Current State: 13:[52, 65], Operations: ['56-4=52', '91-26=65']
Exploring Operation: 65-52=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[56, 4, 26, 91], Operations: []
Exploring Operation: 91-56=35, Resulting Numbers: [4, 26, 35]
Generated Node #0,0: 13:[4, 26, 35] Operation: 91-56=35
Exploring Operation: 91-26=65, Resulting Numbers: [56, 4, 65]
Generated Node #0,1: 13:[56, 4, 65] Operation: 91-26=65
Exploring Operation: 56-26=30, Resulting Numbers: [4, 91, 30]
Generated Node #0,2: 13:[4, 91, 30] Operation: 56-26=30
Exploring Operation: 56/4=14, Resulting Numbers: [26, 91, 14]
Generated Node #0,3: 13:[26, 91, 14] Operation: 56/4=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[4, 26, 35], Operations: ['91-56=35']
Exploring Operation: 35-26=9, Resulting Numbers: [4, 9]
Generated Node #0,0,0: 13:[4, 9] Operation: 35-26=9
Exploring Operation: 35-4=31, Resulting Numbers: [26, 31]
Generated Node #0,0,1: 13:[26, 31] Operation: 35-4=31
Exploring Operation: 26-4=22, Resulting Numbers: [35, 22]
Generated Node #0,0,2: 13:[35, 22] Operation: 26-4=22
Exploring Operation: 4+26=30, Resulting Numbers: [35, 30]
Generated Node #0,0,3: 13:[35, 30] Operation: 4+26=30
Moving to Node #0,0,0
Current State: 13:[4, 9], Operations: ['91-56=35', '35-26=9']
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[56, 4, 26, 91], Operations: []
Exploring Operation: 91-56=35, Resulting Numbers: [4, 26, 35]
Generated Node #0,0: 13:[4, 26, 35] Operation: 91-56=35
Moving to Node #0,0
Current State: 13:[4, 26, 35], Operations: ['91-56=35']
Exploring Operation: 35-26=9, Resulting Numbers: [4, 9]
Generated Node #0,0,0: 13:[4, 9] Operation: 35-26=9
Moving to Node #0,0,0
Current State: 13:[4, 9], Operations: ['91-56=35', '35-26=9']
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
62,
27,
94,
2
] | 51 | [
"62+94=156",
"156/2=78",
"78-27=51"
] | Current State: 51:[62, 27, 94, 2], Operations: []
Exploring Operation: 62+94=156, Resulting Numbers: [27, 2, 156]
Generated Node #2: [27, 2, 156] from Operation: 62+94=156
Current State: 51:[27, 2, 156], Operations: ['62+94=156']
Exploring Operation: 156/2=78, Resulting Numbers: [27, 78]
Generated Node #3: [27, 78] from Operation: 156/2=78
Current State: 51:[27, 78], Operations: ['62+94=156', '156/2=78']
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[62, 27, 94, 2], Operations: []
Exploring Operation: 94-27=67, Resulting Numbers: [62, 2, 67]
Generated Node #0,0: 51:[62, 2, 67] Operation: 94-27=67
Exploring Operation: 94/2=47, Resulting Numbers: [62, 27, 47]
Generated Node #0,1: 51:[62, 27, 47] Operation: 94/2=47
Exploring Operation: 94-62=32, Resulting Numbers: [27, 2, 32]
Generated Node #0,2: 51:[27, 2, 32] Operation: 94-62=32
Moving to Node #0,1
Current State: 51:[62, 27, 47], Operations: ['94/2=47']
Exploring Operation: 47-27=20, Resulting Numbers: [62, 20]
Generated Node #0,1,0: 51:[62, 20] Operation: 47-27=20
Exploring Operation: 62-47=15, Resulting Numbers: [27, 15]
Generated Node #0,1,1: 51:[27, 15] Operation: 62-47=15
Exploring Operation: 62-27=35, Resulting Numbers: [47, 35]
Generated Node #0,1,2: 51:[47, 35] Operation: 62-27=35
Moving to Node #0,2
Current State: 51:[27, 2, 32], Operations: ['94-62=32']
Exploring Operation: 27+32=59, Resulting Numbers: [2, 59]
Generated Node #0,2,0: 51:[2, 59] Operation: 27+32=59
Exploring Operation: 32-27=5, Resulting Numbers: [2, 5]
Generated Node #0,2,1: 51:[2, 5] Operation: 32-27=5
Exploring Operation: 32/2=16, Resulting Numbers: [27, 16]
Generated Node #0,2,2: 51:[27, 16] Operation: 32/2=16
Moving to Node #0,0
Current State: 51:[62, 2, 67], Operations: ['94-27=67']
Exploring Operation: 67-2=65, Resulting Numbers: [62, 65]
Generated Node #0,0,0: 51:[62, 65] Operation: 67-2=65
Exploring Operation: 62-2=60, Resulting Numbers: [67, 60]
Generated Node #0,0,1: 51:[67, 60] Operation: 62-2=60
Exploring Operation: 67-62=5, Resulting Numbers: [2, 5]
Generated Node #0,0,2: 51:[2, 5] Operation: 67-62=5
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 51:[2, 5], Operations: ['94-27=67', '67-62=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[62, 65], Operations: ['94-27=67', '67-2=65']
Exploring Operation: 65-62=3, Resulting Numbers: [3]
3,51 unequal: No Solution
Exploring Operation: 62+65=127, Resulting Numbers: [127]
127,51 unequal: No Solution
Exploring Operation: 62*65=4030, Resulting Numbers: [4030]
4030,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 51:[67, 60], Operations: ['94-27=67', '62-2=60']
Exploring Operation: 67-60=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Exploring Operation: 67*60=4020, Resulting Numbers: [4020]
4020,51 unequal: No Solution
Exploring Operation: 67+60=127, Resulting Numbers: [127]
127,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 51:[2, 5], Operations: ['94-62=32', '32-27=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,51 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Moving to Node #0,2,0
Current State: 51:[2, 59], Operations: ['94-62=32', '27+32=59']
Exploring Operation: 2*59=118, Resulting Numbers: [118]
118,51 unequal: No Solution
Exploring Operation: 2+59=61, Resulting Numbers: [61]
61,51 unequal: No Solution
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[27, 16], Operations: ['94-62=32', '32/2=16']
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 27*16=432, Resulting Numbers: [432]
432,51 unequal: No Solution
Exploring Operation: 27+16=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[27, 15], Operations: ['94/2=47', '62-47=15']
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,51 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,51 unequal: No Solution
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[62, 20], Operations: ['94/2=47', '47-27=20']
Exploring Operation: 62+20=82, Resulting Numbers: [82]
82,51 unequal: No Solution
Exploring Operation: 62*20=1240, Resulting Numbers: [1240]
1240,51 unequal: No Solution
Exploring Operation: 62-20=42, Resulting Numbers: [42]
42,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[47, 35], Operations: ['94/2=47', '62-27=35']
Exploring Operation: 47*35=1645, Resulting Numbers: [1645]
1645,51 unequal: No Solution
Exploring Operation: 47-35=12, Resulting Numbers: [12]
12,51 unequal: No Solution
Exploring Operation: 47+35=82, Resulting Numbers: [82]
82,51 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
68,
57,
60,
80
] | 36 | [
"80-68=12",
"60-57=3",
"12*3=36"
] | Current State: 36:[68, 57, 60, 80], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [57, 60, 12]
Generated Node #2: [57, 60, 12] from Operation: 80-68=12
Current State: 36:[57, 60, 12], Operations: ['80-68=12']
Exploring Operation: 60-57=3, Resulting Numbers: [12, 3]
Generated Node #3: [12, 3] from Operation: 60-57=3
Current State: 36:[12, 3], Operations: ['80-68=12', '60-57=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[68, 57, 60, 80], Operations: []
Exploring Operation: 80-60=20, Resulting Numbers: [68, 57, 20]
Generated Node #0,0: 36:[68, 57, 20] Operation: 80-60=20
Exploring Operation: 80-68=12, Resulting Numbers: [57, 60, 12]
Generated Node #0,1: 36:[57, 60, 12] Operation: 80-68=12
Exploring Operation: 80-57=23, Resulting Numbers: [68, 60, 23]
Generated Node #0,2: 36:[68, 60, 23] Operation: 80-57=23
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[57, 60, 12], Operations: ['80-68=12']
Exploring Operation: 57-12=45, Resulting Numbers: [60, 45]
Generated Node #0,1,0: 36:[60, 45] Operation: 57-12=45
Exploring Operation: 60/12=5, Resulting Numbers: [57, 5]
Generated Node #0,1,1: 36:[57, 5] Operation: 60/12=5
Exploring Operation: 60-57=3, Resulting Numbers: [12, 3]
Generated Node #0,1,2: 36:[12, 3] Operation: 60-57=3
Moving to Node #0,1,2
Current State: 36:[12, 3], Operations: ['80-68=12', '60-57=3']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[68, 57, 60, 80], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [57, 60, 12]
Generated Node #0,1: 36:[57, 60, 12] Operation: 80-68=12
Moving to Node #0,1
Current State: 36:[57, 60, 12], Operations: ['80-68=12']
Exploring Operation: 60-57=3, Resulting Numbers: [12, 3]
Generated Node #0,1,2: 36:[12, 3] Operation: 60-57=3
Moving to Node #0,1,2
Current State: 36:[12, 3], Operations: ['80-68=12', '60-57=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
46,
21,
49,
21
] | 49 | [
"21-21=0",
"46*0=0",
"49+0=49"
] | Current State: 49:[46, 21, 49, 21], Operations: []
Exploring Operation: 21-21=0, Resulting Numbers: [46, 49, 0]
Generated Node #2: [46, 49, 0] from Operation: 21-21=0
Current State: 49:[46, 49, 0], Operations: ['21-21=0']
Exploring Operation: 46*0=0, Resulting Numbers: [49, 0]
Generated Node #3: [49, 0] from Operation: 46*0=0
Current State: 49:[49, 0], Operations: ['21-21=0', '46*0=0']
Exploring Operation: 49+0=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[46, 21, 49, 21], Operations: []
Exploring Operation: 21/21=1, Resulting Numbers: [46, 49, 1]
Generated Node #0,0: 49:[46, 49, 1] Operation: 21/21=1
Exploring Operation: 21+21=42, Resulting Numbers: [46, 49, 42]
Generated Node #0,1: 49:[46, 49, 42] Operation: 21+21=42
Moving to Node #0,0
Current State: 49:[46, 49, 1], Operations: ['21/21=1']
Exploring Operation: 46+1=47, Resulting Numbers: [49, 47]
Generated Node #0,0,0: 49:[49, 47] Operation: 46+1=47
Exploring Operation: 46*1=46, Resulting Numbers: [49, 46]
Generated Node #0,0,1: 49:[49, 46] Operation: 46*1=46
Moving to Node #0,1
Current State: 49:[46, 49, 42], Operations: ['21+21=42']
Exploring Operation: 49-42=7, Resulting Numbers: [46, 7]
Generated Node #0,1,0: 49:[46, 7] Operation: 49-42=7
Exploring Operation: 46-42=4, Resulting Numbers: [49, 4]
Generated Node #0,1,1: 49:[49, 4] Operation: 46-42=4
Moving to Node #0,0,0
Current State: 49:[49, 47], Operations: ['21/21=1', '46+1=47']
Exploring Operation: 49+47=96, Resulting Numbers: [96]
96,49 unequal: No Solution
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[46, 7], Operations: ['21+21=42', '49-42=7']
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 46+7=53, Resulting Numbers: [53]
53,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[49, 46], Operations: ['21/21=1', '46*1=46']
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,49 unequal: No Solution
Exploring Operation: 49+46=95, Resulting Numbers: [95]
95,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[49, 4], Operations: ['21+21=42', '46-42=4']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 49+4=53, Resulting Numbers: [53]
53,49 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
34,
55,
14,
3
] | 61 | [
"34*3=102",
"55-14=41",
"102-41=61"
] | Current State: 61:[34, 55, 14, 3], Operations: []
Exploring Operation: 34*3=102, Resulting Numbers: [55, 14, 102]
Generated Node #2: [55, 14, 102] from Operation: 34*3=102
Current State: 61:[55, 14, 102], Operations: ['34*3=102']
Exploring Operation: 55-14=41, Resulting Numbers: [102, 41]
Generated Node #3: [102, 41] from Operation: 55-14=41
Current State: 61:[102, 41], Operations: ['34*3=102', '55-14=41']
Exploring Operation: 102-41=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[34, 55, 14, 3], Operations: []
Exploring Operation: 55+3=58, Resulting Numbers: [34, 14, 58]
Generated Node #0,0: 61:[34, 14, 58] Operation: 55+3=58
Exploring Operation: 14+3=17, Resulting Numbers: [34, 55, 17]
Generated Node #0,1: 61:[34, 55, 17] Operation: 14+3=17
Exploring Operation: 34+14=48, Resulting Numbers: [55, 3, 48]
Generated Node #0,2: 61:[55, 3, 48] Operation: 34+14=48
Exploring Operation: 14*3=42, Resulting Numbers: [34, 55, 42]
Generated Node #0,3: 61:[34, 55, 42] Operation: 14*3=42
Exploring Operation: 34+3=37, Resulting Numbers: [55, 14, 37]
Generated Node #0,4: 61:[55, 14, 37] Operation: 34+3=37
Moving to Node #0,3
Current State: 61:[34, 55, 42], Operations: ['14*3=42']
Exploring Operation: 34+55=89, Resulting Numbers: [42, 89]
Generated Node #0,3,0: 61:[42, 89] Operation: 34+55=89
Exploring Operation: 55-34=21, Resulting Numbers: [42, 21]
Generated Node #0,3,1: 61:[42, 21] Operation: 55-34=21
Exploring Operation: 42-34=8, Resulting Numbers: [55, 8]
Generated Node #0,3,2: 61:[55, 8] Operation: 42-34=8
Exploring Operation: 55+42=97, Resulting Numbers: [34, 97]
Generated Node #0,3,3: 61:[34, 97] Operation: 55+42=97
Exploring Operation: 34+42=76, Resulting Numbers: [55, 76]
Generated Node #0,3,4: 61:[55, 76] Operation: 34+42=76
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 61:[55, 76], Operations: ['14*3=42', '34+42=76']
Exploring Operation: 55*76=4180, Resulting Numbers: [4180]
4180,61 unequal: No Solution
Exploring Operation: 76-55=21, Resulting Numbers: [21]
21,61 unequal: No Solution
Exploring Operation: 55+76=131, Resulting Numbers: [131]
131,61 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:[42, 89], Operations: ['14*3=42', '34+55=89']
Exploring Operation: 89-42=47, Resulting Numbers: [47]
47,61 unequal: No Solution
Exploring Operation: 42*89=3738, Resulting Numbers: [3738]
3738,61 unequal: No Solution
Exploring Operation: 42+89=131, Resulting Numbers: [131]
131,61 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 #0,3,1
Current State: 61:[42, 21], Operations: ['14*3=42', '55-34=21']
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,61 unequal: No Solution
Exploring Operation: 42+21=63, Resulting Numbers: [63]
63,61 unequal: No Solution
Exploring Operation: 42*21=882, Resulting Numbers: [882]
882,61 unequal: No Solution
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,61 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:[55, 8], Operations: ['14*3=42', '42-34=8']
Exploring Operation: 55*8=440, Resulting Numbers: [440]
440,61 unequal: No Solution
Exploring Operation: 55+8=63, Resulting Numbers: [63]
63,61 unequal: No Solution
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,61 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:[34, 97], Operations: ['14*3=42', '55+42=97']
Exploring Operation: 34*97=3298, Resulting Numbers: [3298]
3298,61 unequal: No Solution
Exploring Operation: 97-34=63, Resulting Numbers: [63]
63,61 unequal: No Solution
Exploring Operation: 34+97=131, Resulting Numbers: [131]
131,61 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:[34, 55, 17], Operations: ['14+3=17']
Exploring Operation: 34/17=2, Resulting Numbers: [55, 2]
Generated Node #0,1,0: 61:[55, 2] Operation: 34/17=2
Exploring Operation: 34-17=17, Resulting Numbers: [55, 17]
Generated Node #0,1,1: 61:[55, 17] Operation: 34-17=17
Exploring Operation: 34+17=51, Resulting Numbers: [55, 51]
Generated Node #0,1,2: 61:[55, 51] Operation: 34+17=51
Exploring Operation: 55+17=72, Resulting Numbers: [34, 72]
Generated Node #0,1,3: 61:[34, 72] Operation: 55+17=72
Exploring Operation: 55-17=38, Resulting Numbers: [34, 38]
Generated Node #0,1,4: 61:[34, 38] Operation: 55-17=38
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 61:[55, 51], Operations: ['14+3=17', '34+17=51']
Exploring Operation: 55*51=2805, Resulting Numbers: [2805]
2805,61 unequal: No Solution
Exploring Operation: 55+51=106, Resulting Numbers: [106]
106,61 unequal: No Solution
Exploring Operation: 55-51=4, Resulting Numbers: [4]
4,61 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 #0,1,3
Current State: 61:[34, 72], Operations: ['14+3=17', '55+17=72']
Exploring Operation: 34+72=106, Resulting Numbers: [106]
106,61 unequal: No Solution
Exploring Operation: 34*72=2448, Resulting Numbers: [2448]
2448,61 unequal: No Solution
Exploring Operation: 72-34=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 #0,1,1
Current State: 61:[55, 17], Operations: ['14+3=17', '34-17=17']
Exploring Operation: 55*17=935, Resulting Numbers: [935]
935,61 unequal: No Solution
Exploring Operation: 55+17=72, Resulting Numbers: [72]
72,61 unequal: No Solution
Exploring Operation: 55-17=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:[34, 38], Operations: ['14+3=17', '55-17=38']
Exploring Operation: 34*38=1292, Resulting Numbers: [1292]
1292,61 unequal: No Solution
Exploring Operation: 34+38=72, Resulting Numbers: [72]
72,61 unequal: No Solution
Exploring Operation: 38-34=4, Resulting Numbers: [4]
4,61 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:[55, 2], Operations: ['14+3=17', '34/17=2']
Exploring Operation: 55*2=110, Resulting Numbers: [110]
110,61 unequal: No Solution
Exploring Operation: 55+2=57, Resulting Numbers: [57]
57,61 unequal: No Solution
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,61 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: 61:[55, 14, 37], Operations: ['34+3=37']
Exploring Operation: 55+37=92, Resulting Numbers: [14, 92]
Generated Node #0,4,0: 61:[14, 92] Operation: 55+37=92
Exploring Operation: 55+14=69, Resulting Numbers: [37, 69]
Generated Node #0,4,1: 61:[37, 69] Operation: 55+14=69
Exploring Operation: 37-14=23, Resulting Numbers: [55, 23]
Generated Node #0,4,2: 61:[55, 23] Operation: 37-14=23
Exploring Operation: 55-14=41, Resulting Numbers: [37, 41]
Generated Node #0,4,3: 61:[37, 41] Operation: 55-14=41
Exploring Operation: 14+37=51, Resulting Numbers: [55, 51]
Generated Node #0,4,4: 61:[55, 51] Operation: 14+37=51
Moving to Node #0,0
Current State: 61:[34, 14, 58], Operations: ['55+3=58']
Exploring Operation: 34+14=48, Resulting Numbers: [58, 48]
Generated Node #0,0,0: 61:[58, 48] Operation: 34+14=48
Exploring Operation: 34+58=92, Resulting Numbers: [14, 92]
Generated Node #0,0,1: 61:[14, 92] Operation: 34+58=92
Exploring Operation: 34-14=20, Resulting Numbers: [58, 20]
Generated Node #0,0,2: 61:[58, 20] Operation: 34-14=20
Exploring Operation: 58-14=44, Resulting Numbers: [34, 44]
Generated Node #0,0,3: 61:[34, 44] Operation: 58-14=44
Exploring Operation: 14+58=72, Resulting Numbers: [34, 72]
Generated Node #0,0,4: 61:[34, 72] Operation: 14+58=72
Moving to Node #0,2
Current State: 61:[55, 3, 48], Operations: ['34+14=48']
Exploring Operation: 55-3=52, Resulting Numbers: [48, 52]
Generated Node #0,2,0: 61:[48, 52] Operation: 55-3=52
Exploring Operation: 48-3=45, Resulting Numbers: [55, 45]
Generated Node #0,2,1: 61:[55, 45] Operation: 48-3=45
Exploring Operation: 48/3=16, Resulting Numbers: [55, 16]
Generated Node #0,2,2: 61:[55, 16] Operation: 48/3=16
Exploring Operation: 3+48=51, Resulting Numbers: [55, 51]
Generated Node #0,2,3: 61:[55, 51] Operation: 3+48=51
Exploring Operation: 55+3=58, Resulting Numbers: [48, 58]
Generated Node #0,2,4: 61:[48, 58] Operation: 55+3=58
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 61:[55, 51], Operations: ['34+14=48', '3+48=51']
Exploring Operation: 55+51=106, Resulting Numbers: [106]
106,61 unequal: No Solution
Exploring Operation: 55*51=2805, Resulting Numbers: [2805]
2805,61 unequal: No Solution
Exploring Operation: 55-51=4, Resulting Numbers: [4]
4,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 61:[48, 58], Operations: ['34+14=48', '55+3=58']
Exploring Operation: 48+58=106, Resulting Numbers: [106]
106,61 unequal: No Solution
Exploring Operation: 58-48=10, Resulting Numbers: [10]
10,61 unequal: No Solution
Exploring Operation: 48*58=2784, Resulting Numbers: [2784]
2784,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 61:[48, 52], Operations: ['34+14=48', '55-3=52']
Exploring Operation: 52-48=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Exploring Operation: 48+52=100, Resulting Numbers: [100]
100,61 unequal: No Solution
Exploring Operation: 48*52=2496, Resulting Numbers: [2496]
2496,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 61:[55, 45], Operations: ['34+14=48', '48-3=45']
Exploring Operation: 55-45=10, Resulting Numbers: [10]
10,61 unequal: No Solution
Exploring Operation: 55+45=100, Resulting Numbers: [100]
100,61 unequal: No Solution
Exploring Operation: 55*45=2475, Resulting Numbers: [2475]
2475,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 61:[55, 16], Operations: ['34+14=48', '48/3=16']
Exploring Operation: 55-16=39, Resulting Numbers: [39]
39,61 unequal: No Solution
Exploring Operation: 55*16=880, Resulting Numbers: [880]
880,61 unequal: No Solution
Exploring Operation: 55+16=71, Resulting Numbers: [71]
71,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,4
Current State: 61:[55, 51], Operations: ['34+3=37', '14+37=51']
Exploring Operation: 55+51=106, Resulting Numbers: [106]
106,61 unequal: No Solution
Exploring Operation: 55*51=2805, Resulting Numbers: [2805]
2805,61 unequal: No Solution
Exploring Operation: 55-51=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[58, 48], Operations: ['55+3=58', '34+14=48']
Exploring Operation: 58-48=10, Resulting Numbers: [10]
10,61 unequal: No Solution
Exploring Operation: 58*48=2784, Resulting Numbers: [2784]
2784,61 unequal: No Solution
Exploring Operation: 58+48=106, Resulting Numbers: [106]
106,61 unequal: No Solution
Moving to Node #0,4,1
Current State: 61:[37, 69], Operations: ['34+3=37', '55+14=69']
Exploring Operation: 37*69=2553, Resulting Numbers: [2553]
2553,61 unequal: No Solution
Exploring Operation: 37+69=106, Resulting Numbers: [106]
106,61 unequal: No Solution
Exploring Operation: 69-37=32, Resulting Numbers: [32]
32,61 unequal: No Solution
Moving to Node #0,0,4
Current State: 61:[34, 72], Operations: ['55+3=58', '14+58=72']
Exploring Operation: 34+72=106, Resulting Numbers: [106]
106,61 unequal: No Solution
Exploring Operation: 72-34=38, Resulting Numbers: [38]
38,61 unequal: No Solution
Exploring Operation: 34*72=2448, Resulting Numbers: [2448]
2448,61 unequal: No Solution
Moving to Node #0,4,2
Current State: 61:[55, 23], Operations: ['34+3=37', '37-14=23']
Exploring Operation: 55+23=78, Resulting Numbers: [78]
78,61 unequal: No Solution
Exploring Operation: 55*23=1265, Resulting Numbers: [1265]
1265,61 unequal: No Solution
Exploring Operation: 55-23=32, Resulting Numbers: [32]
32,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[34, 44], Operations: ['55+3=58', '58-14=44']
Exploring Operation: 44-34=10, Resulting Numbers: [10]
10,61 unequal: No Solution
Exploring Operation: 34+44=78, Resulting Numbers: [78]
78,61 unequal: No Solution
Exploring Operation: 34*44=1496, Resulting Numbers: [1496]
1496,61 unequal: No Solution
Moving to Node #0,4,3
Current State: 61:[37, 41], Operations: ['34+3=37', '55-14=41']
Exploring Operation: 41-37=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Exploring Operation: 37*41=1517, Resulting Numbers: [1517]
1517,61 unequal: No Solution
Exploring Operation: 37+41=78, Resulting Numbers: [78]
78,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[58, 20], Operations: ['55+3=58', '34-14=20']
Exploring Operation: 58*20=1160, Resulting Numbers: [1160]
1160,61 unequal: No Solution
Exploring Operation: 58-20=38, Resulting Numbers: [38]
38,61 unequal: No Solution
Exploring Operation: 58+20=78, Resulting Numbers: [78]
78,61 unequal: No Solution
Moving to Node #0,4,0
Current State: 61:[14, 92], Operations: ['34+3=37', '55+37=92']
Exploring Operation: 14+92=106, Resulting Numbers: [106]
106,61 unequal: No Solution
Exploring Operation: 14*92=1288, Resulting Numbers: [1288]
1288,61 unequal: No Solution
Exploring Operation: 92-14=78, Resulting Numbers: [78]
78,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[14, 92], Operations: ['55+3=58', '34+58=92']
Exploring Operation: 14+92=106, Resulting Numbers: [106]
106,61 unequal: No Solution
Exploring Operation: 14*92=1288, Resulting Numbers: [1288]
1288,61 unequal: No Solution
Exploring Operation: 92-14=78, Resulting Numbers: [78]
78,61 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
68,
70,
25,
64
] | 41 | [
"70-68=2",
"64-25=39",
"2+39=41"
] | Current State: 41:[68, 70, 25, 64], Operations: []
Exploring Operation: 70-68=2, Resulting Numbers: [25, 64, 2]
Generated Node #2: [25, 64, 2] from Operation: 70-68=2
Current State: 41:[25, 64, 2], Operations: ['70-68=2']
Exploring Operation: 64-25=39, Resulting Numbers: [2, 39]
Generated Node #3: [2, 39] from Operation: 64-25=39
Current State: 41:[2, 39], Operations: ['70-68=2', '64-25=39']
Exploring Operation: 2+39=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[68, 70, 25, 64], Operations: []
Exploring Operation: 68-25=43, Resulting Numbers: [70, 64, 43]
Generated Node #0,0: 41:[70, 64, 43] Operation: 68-25=43
Exploring Operation: 70-25=45, Resulting Numbers: [68, 64, 45]
Generated Node #0,1: 41:[68, 64, 45] Operation: 70-25=45
Exploring Operation: 64-25=39, Resulting Numbers: [68, 70, 39]
Generated Node #0,2: 41:[68, 70, 39] Operation: 64-25=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[70, 64, 43], Operations: ['68-25=43']
Exploring Operation: 70-43=27, Resulting Numbers: [64, 27]
Generated Node #0,0,0: 41:[64, 27] Operation: 70-43=27
Exploring Operation: 64-43=21, Resulting Numbers: [70, 21]
Generated Node #0,0,1: 41:[70, 21] Operation: 64-43=21
Exploring Operation: 70-64=6, Resulting Numbers: [43, 6]
Generated Node #0,0,2: 41:[43, 6] Operation: 70-64=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[64, 27], Operations: ['68-25=43', '70-43=27']
Exploring Operation: 64*27=1728, Resulting Numbers: [1728]
1728,41 unequal: No Solution
Exploring Operation: 64+27=91, Resulting Numbers: [91]
91,41 unequal: No Solution
Exploring Operation: 64-27=37, Resulting Numbers: [37]
37,41 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:[43, 6], Operations: ['68-25=43', '70-64=6']
Exploring Operation: 43*6=258, Resulting Numbers: [258]
258,41 unequal: No Solution
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,41 unequal: No Solution
Exploring Operation: 43+6=49, Resulting Numbers: [49]
49,41 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:[70, 21], Operations: ['68-25=43', '64-43=21']
Exploring Operation: 70-21=49, Resulting Numbers: [49]
49,41 unequal: No Solution
Exploring Operation: 70*21=1470, Resulting Numbers: [1470]
1470,41 unequal: No Solution
Exploring Operation: 70+21=91, Resulting Numbers: [91]
91,41 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:[68, 64, 45], Operations: ['70-25=45']
Exploring Operation: 64-45=19, Resulting Numbers: [68, 19]
Generated Node #0,1,0: 41:[68, 19] Operation: 64-45=19
Exploring Operation: 68-45=23, Resulting Numbers: [64, 23]
Generated Node #0,1,1: 41:[64, 23] Operation: 68-45=23
Exploring Operation: 68-64=4, Resulting Numbers: [45, 4]
Generated Node #0,1,2: 41:[45, 4] Operation: 68-64=4
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 41:[64, 23], Operations: ['70-25=45', '68-45=23']
Exploring Operation: 64+23=87, Resulting Numbers: [87]
87,41 unequal: No Solution
Exploring Operation: 64-23=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[68, 70, 25, 64], Operations: []
Exploring Operation: 70-25=45, Resulting Numbers: [68, 64, 45]
Generated Node #0,1: 41:[68, 64, 45] Operation: 70-25=45
Moving to Node #0,1
Current State: 41:[68, 64, 45], Operations: ['70-25=45']
Exploring Operation: 68-45=23, Resulting Numbers: [64, 23]
Generated Node #0,1,1: 41:[64, 23] Operation: 68-45=23
Moving to Node #0,1,1
Current State: 41:[64, 23], Operations: ['70-25=45', '68-45=23']
Exploring Operation: 64-23=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.979167 | hs_3 | sum_heuristic |
[
50,
50,
7,
35
] | 95 | [
"50+50=100",
"35/7=5",
"100-5=95"
] | Current State: 95:[50, 50, 7, 35], Operations: []
Exploring Operation: 50+50=100, Resulting Numbers: [7, 35, 100]
Generated Node #2: [7, 35, 100] from Operation: 50+50=100
Current State: 95:[7, 35, 100], Operations: ['50+50=100']
Exploring Operation: 35/7=5, Resulting Numbers: [100, 5]
Generated Node #3: [100, 5] from Operation: 35/7=5
Current State: 95:[100, 5], Operations: ['50+50=100', '35/7=5']
Exploring Operation: 100-5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[50, 50, 7, 35], Operations: []
Exploring Operation: 50-35=15, Resulting Numbers: [50, 7, 15]
Generated Node #0,0: 95:[50, 7, 15] Operation: 50-35=15
Exploring Operation: 50-50=0, Resulting Numbers: [7, 35, 0]
Generated Node #0,1: 95:[7, 35, 0] Operation: 50-50=0
Exploring Operation: 50/50=1, Resulting Numbers: [7, 35, 1]
Generated Node #0,2: 95:[7, 35, 1] Operation: 50/50=1
Exploring Operation: 50+50=100, Resulting Numbers: [7, 35, 100]
Generated Node #0,3: 95:[7, 35, 100] Operation: 50+50=100
Moving to Node #0,2
Current State: 95:[7, 35, 1], Operations: ['50/50=1']
Exploring Operation: 35-7=28, Resulting Numbers: [1, 28]
Generated Node #0,2,0: 95:[1, 28] Operation: 35-7=28
Exploring Operation: 35-1=34, Resulting Numbers: [7, 34]
Generated Node #0,2,1: 95:[7, 34] Operation: 35-1=34
Exploring Operation: 7-1=6, Resulting Numbers: [35, 6]
Generated Node #0,2,2: 95:[35, 6] Operation: 7-1=6
Exploring Operation: 35/7=5, Resulting Numbers: [1, 5]
Generated Node #0,2,3: 95:[1, 5] Operation: 35/7=5
Moving to Node #0,3
Current State: 95:[7, 35, 100], Operations: ['50+50=100']
Exploring Operation: 35-7=28, Resulting Numbers: [100, 28]
Generated Node #0,3,0: 95:[100, 28] Operation: 35-7=28
Exploring Operation: 7+35=42, Resulting Numbers: [100, 42]
Generated Node #0,3,1: 95:[100, 42] Operation: 7+35=42
Exploring Operation: 100-7=93, Resulting Numbers: [35, 93]
Generated Node #0,3,2: 95:[35, 93] Operation: 100-7=93
Exploring Operation: 35/7=5, Resulting Numbers: [100, 5]
Generated Node #0,3,3: 95:[100, 5] Operation: 35/7=5
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 95:[100, 5], Operations: ['50+50=100', '35/7=5']
Exploring Operation: 100-5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[50, 50, 7, 35], Operations: []
Exploring Operation: 50+50=100, Resulting Numbers: [7, 35, 100]
Generated Node #0,3: 95:[7, 35, 100] Operation: 50+50=100
Moving to Node #0,3
Current State: 95:[7, 35, 100], Operations: ['50+50=100']
Exploring Operation: 35/7=5, Resulting Numbers: [100, 5]
Generated Node #0,3,3: 95:[100, 5] Operation: 35/7=5
Moving to Node #0,3,3
Current State: 95:[100, 5], Operations: ['50+50=100', '35/7=5']
Exploring Operation: 100-5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
73,
48,
74,
69
] | 20 | [
"73-48=25",
"74-69=5",
"25-5=20"
] | Current State: 20:[73, 48, 74, 69], Operations: []
Exploring Operation: 73-48=25, Resulting Numbers: [74, 69, 25]
Generated Node #2: [74, 69, 25] from Operation: 73-48=25
Current State: 20:[74, 69, 25], Operations: ['73-48=25']
Exploring Operation: 74-69=5, Resulting Numbers: [25, 5]
Generated Node #3: [25, 5] from Operation: 74-69=5
Current State: 20:[25, 5], Operations: ['73-48=25', '74-69=5']
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[73, 48, 74, 69], Operations: []
Exploring Operation: 74-73=1, Resulting Numbers: [48, 69, 1]
Generated Node #0,0: 20:[48, 69, 1] Operation: 74-73=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[48, 69, 1], Operations: ['74-73=1']
Exploring Operation: 69-48=21, Resulting Numbers: [1, 21]
Generated Node #0,0,0: 20:[1, 21] Operation: 69-48=21
Moving to Node #0,0,0
Current State: 20:[1, 21], Operations: ['74-73=1', '69-48=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[73, 48, 74, 69], Operations: []
Exploring Operation: 74-73=1, Resulting Numbers: [48, 69, 1]
Generated Node #0,0: 20:[48, 69, 1] Operation: 74-73=1
Moving to Node #0,0
Current State: 20:[48, 69, 1], Operations: ['74-73=1']
Exploring Operation: 69-48=21, Resulting Numbers: [1, 21]
Generated Node #0,0,0: 20:[1, 21] Operation: 69-48=21
Moving to Node #0,0,0
Current State: 20:[1, 21], Operations: ['74-73=1', '69-48=21']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
90,
13,
61,
23
] | 39 | [
"90-13=77",
"61-23=38",
"77-38=39"
] | Current State: 39:[90, 13, 61, 23], Operations: []
Exploring Operation: 90-13=77, Resulting Numbers: [61, 23, 77]
Generated Node #2: [61, 23, 77] from Operation: 90-13=77
Current State: 39:[61, 23, 77], Operations: ['90-13=77']
Exploring Operation: 61-23=38, Resulting Numbers: [77, 38]
Generated Node #3: [77, 38] from Operation: 61-23=38
Current State: 39:[77, 38], Operations: ['90-13=77', '61-23=38']
Exploring Operation: 77-38=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[90, 13, 61, 23], Operations: []
Exploring Operation: 90-23=67, Resulting Numbers: [13, 61, 67]
Generated Node #0,0: 39:[13, 61, 67] Operation: 90-23=67
Exploring Operation: 90-61=29, Resulting Numbers: [13, 23, 29]
Generated Node #0,1: 39:[13, 23, 29] Operation: 90-61=29
Exploring Operation: 61-23=38, Resulting Numbers: [90, 13, 38]
Generated Node #0,2: 39:[90, 13, 38] Operation: 61-23=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[13, 23, 29], Operations: ['90-61=29']
Exploring Operation: 23-13=10, Resulting Numbers: [29, 10]
Generated Node #0,1,0: 39:[29, 10] Operation: 23-13=10
Exploring Operation: 29-23=6, Resulting Numbers: [13, 6]
Generated Node #0,1,1: 39:[13, 6] Operation: 29-23=6
Exploring Operation: 13+23=36, Resulting Numbers: [29, 36]
Generated Node #0,1,2: 39:[29, 36] Operation: 13+23=36
Moving to Node #0,1,1
Current State: 39:[13, 6], Operations: ['90-61=29', '29-23=6']
Exploring Operation: 13*6=78, Resulting Numbers: [78]
78,39 unequal: No Solution
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[29, 10], Operations: ['90-61=29', '23-13=10']
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,39 unequal: No Solution
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[90, 13, 61, 23], Operations: []
Exploring Operation: 90-61=29, Resulting Numbers: [13, 23, 29]
Generated Node #0,1: 39:[13, 23, 29] Operation: 90-61=29
Moving to Node #0,1
Current State: 39:[13, 23, 29], Operations: ['90-61=29']
Exploring Operation: 23-13=10, Resulting Numbers: [29, 10]
Generated Node #0,1,0: 39:[29, 10] Operation: 23-13=10
Moving to Node #0,1,0
Current State: 39:[29, 10], Operations: ['90-61=29', '23-13=10']
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
7,
44,
6,
11
] | 52 | [
"7+6=13",
"44/11=4",
"13*4=52"
] | Current State: 52:[7, 44, 6, 11], Operations: []
Exploring Operation: 7+6=13, Resulting Numbers: [44, 11, 13]
Generated Node #2: [44, 11, 13] from Operation: 7+6=13
Current State: 52:[44, 11, 13], Operations: ['7+6=13']
Exploring Operation: 44/11=4, Resulting Numbers: [13, 4]
Generated Node #3: [13, 4] from Operation: 44/11=4
Current State: 52:[13, 4], Operations: ['7+6=13', '44/11=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[7, 44, 6, 11], Operations: []
Exploring Operation: 7+44=51, Resulting Numbers: [6, 11, 51]
Generated Node #0,0: 52:[6, 11, 51] Operation: 7+44=51
Moving to Node #0,0
Current State: 52:[6, 11, 51], Operations: ['7+44=51']
Exploring Operation: 11-6=5, Resulting Numbers: [51, 5]
Generated Node #0,0,0: 52:[51, 5] Operation: 11-6=5
Moving to Node #0,0,0
Current State: 52:[51, 5], Operations: ['7+44=51', '11-6=5']
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,52 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
72,
71,
11,
76
] | 66 | [
"72-71=1",
"76-11=65",
"1+65=66"
] | Current State: 66:[72, 71, 11, 76], Operations: []
Exploring Operation: 72-71=1, Resulting Numbers: [11, 76, 1]
Generated Node #2: [11, 76, 1] from Operation: 72-71=1
Current State: 66:[11, 76, 1], Operations: ['72-71=1']
Exploring Operation: 76-11=65, Resulting Numbers: [1, 65]
Generated Node #3: [1, 65] from Operation: 76-11=65
Current State: 66:[1, 65], Operations: ['72-71=1', '76-11=65']
Exploring Operation: 1+65=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[72, 71, 11, 76], Operations: []
Exploring Operation: 72-71=1, Resulting Numbers: [11, 76, 1]
Generated Node #0,0: 66:[11, 76, 1] Operation: 72-71=1
Exploring Operation: 76-11=65, Resulting Numbers: [72, 71, 65]
Generated Node #0,1: 66:[72, 71, 65] Operation: 76-11=65
Exploring Operation: 76-71=5, Resulting Numbers: [72, 11, 5]
Generated Node #0,2: 66:[72, 11, 5] Operation: 76-71=5
Exploring Operation: 76-72=4, Resulting Numbers: [71, 11, 4]
Generated Node #0,3: 66:[71, 11, 4] Operation: 76-72=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 66:[71, 11, 4], Operations: ['76-72=4']
Exploring Operation: 11-4=7, Resulting Numbers: [71, 7]
Generated Node #0,3,0: 66:[71, 7] Operation: 11-4=7
Exploring Operation: 71+4=75, Resulting Numbers: [11, 75]
Generated Node #0,3,1: 66:[11, 75] Operation: 71+4=75
Exploring Operation: 71-4=67, Resulting Numbers: [11, 67]
Generated Node #0,3,2: 66:[11, 67] Operation: 71-4=67
Exploring Operation: 71-11=60, Resulting Numbers: [4, 60]
Generated Node #0,3,3: 66:[4, 60] Operation: 71-11=60
Moving to Node #0,3,2
Current State: 66:[11, 67], Operations: ['76-72=4', '71-4=67']
Exploring Operation: 67-11=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 11+67=78, Resulting Numbers: [78]
78,66 unequal: No Solution
Exploring Operation: 11*67=737, Resulting Numbers: [737]
737,66 unequal: No Solution
Moving to Node #0,3,0
Current State: 66:[71, 7], Operations: ['76-72=4', '11-4=7']
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,66 unequal: No Solution
Exploring Operation: 71*7=497, Resulting Numbers: [497]
497,66 unequal: No Solution
Exploring Operation: 71+7=78, Resulting Numbers: [78]
78,66 unequal: No Solution
Moving to Node #0,3,3
Current State: 66:[4, 60], Operations: ['76-72=4', '71-11=60']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 4*60=240, Resulting Numbers: [240]
240,66 unequal: No Solution
Exploring Operation: 4+60=64, Resulting Numbers: [64]
64,66 unequal: No Solution
Moving to Node #0,3,1
Current State: 66:[11, 75], Operations: ['76-72=4', '71+4=75']
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,66 unequal: No Solution
Exploring Operation: 11*75=825, Resulting Numbers: [825]
825,66 unequal: No Solution
Exploring Operation: 11+75=86, Resulting Numbers: [86]
86,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 66:[72, 11, 5], Operations: ['76-71=5']
Exploring Operation: 72+5=77, Resulting Numbers: [11, 77]
Generated Node #0,2,0: 66:[11, 77] Operation: 72+5=77
Exploring Operation: 72-5=67, Resulting Numbers: [11, 67]
Generated Node #0,2,1: 66:[11, 67] Operation: 72-5=67
Exploring Operation: 72-11=61, Resulting Numbers: [5, 61]
Generated Node #0,2,2: 66:[5, 61] Operation: 72-11=61
Exploring Operation: 11-5=6, Resulting Numbers: [72, 6]
Generated Node #0,2,3: 66:[72, 6] Operation: 11-5=6
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 66:[11, 67], Operations: ['76-71=5', '72-5=67']
Exploring Operation: 11*67=737, Resulting Numbers: [737]
737,66 unequal: No Solution
Exploring Operation: 67-11=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 11+67=78, Resulting Numbers: [78]
78,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 66:[5, 61], Operations: ['76-71=5', '72-11=61']
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[72, 71, 11, 76], Operations: []
Exploring Operation: 76-71=5, Resulting Numbers: [72, 11, 5]
Generated Node #0,2: 66:[72, 11, 5] Operation: 76-71=5
Moving to Node #0,2
Current State: 66:[72, 11, 5], Operations: ['76-71=5']
Exploring Operation: 72-11=61, Resulting Numbers: [5, 61]
Generated Node #0,2,2: 66:[5, 61] Operation: 72-11=61
Moving to Node #0,2,2
Current State: 66:[5, 61], Operations: ['76-71=5', '72-11=61']
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.970486 | hs_4 | mult_heuristic |
[
65,
28,
6,
2
] | 49 | [
"65-28=37",
"6*2=12",
"37+12=49"
] | Current State: 49:[65, 28, 6, 2], Operations: []
Exploring Operation: 65-28=37, Resulting Numbers: [6, 2, 37]
Generated Node #2: [6, 2, 37] from Operation: 65-28=37
Current State: 49:[6, 2, 37], Operations: ['65-28=37']
Exploring Operation: 6*2=12, Resulting Numbers: [37, 12]
Generated Node #3: [37, 12] from Operation: 6*2=12
Current State: 49:[37, 12], Operations: ['65-28=37', '6*2=12']
Exploring Operation: 37+12=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[65, 28, 6, 2], Operations: []
Exploring Operation: 28/2=14, Resulting Numbers: [65, 6, 14]
Generated Node #0,0: 49:[65, 6, 14] Operation: 28/2=14
Exploring Operation: 65-6=59, Resulting Numbers: [28, 2, 59]
Generated Node #0,1: 49:[28, 2, 59] Operation: 65-6=59
Exploring Operation: 28*2=56, Resulting Numbers: [65, 6, 56]
Generated Node #0,2: 49:[65, 6, 56] Operation: 28*2=56
Exploring Operation: 65-28=37, Resulting Numbers: [6, 2, 37]
Generated Node #0,3: 49:[6, 2, 37] Operation: 65-28=37
Start Sub Search at level 1: Moving to Node #0,3
Current State: 49:[6, 2, 37], Operations: ['65-28=37']
Exploring Operation: 2+37=39, Resulting Numbers: [6, 39]
Generated Node #0,3,0: 49:[6, 39] Operation: 2+37=39
Exploring Operation: 6+2=8, Resulting Numbers: [37, 8]
Generated Node #0,3,1: 49:[37, 8] Operation: 6+2=8
Exploring Operation: 6+37=43, Resulting Numbers: [2, 43]
Generated Node #0,3,2: 49:[2, 43] Operation: 6+37=43
Exploring Operation: 6-2=4, Resulting Numbers: [37, 4]
Generated Node #0,3,3: 49:[37, 4] Operation: 6-2=4
Moving to Node #0,3,0
Current State: 49:[6, 39], Operations: ['65-28=37', '2+37=39']
Exploring Operation: 6*39=234, Resulting Numbers: [234]
234,49 unequal: No Solution
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,49 unequal: No Solution
Moving to Node #0,3,2
Current State: 49:[2, 43], Operations: ['65-28=37', '6+37=43']
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,49 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,49 unequal: No Solution
Moving to Node #0,3,1
Current State: 49:[37, 8], Operations: ['65-28=37', '6+2=8']
Exploring Operation: 37*8=296, Resulting Numbers: [296]
296,49 unequal: No Solution
Exploring Operation: 37+8=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,49 unequal: No Solution
Moving to Node #0,3,3
Current State: 49:[37, 4], Operations: ['65-28=37', '6-2=4']
Exploring Operation: 37*4=148, Resulting Numbers: [148]
148,49 unequal: No Solution
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,49 unequal: No Solution
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,49 unequal: No Solution
No 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: 49:[65, 6, 14], Operations: ['28/2=14']
Exploring Operation: 65-14=51, Resulting Numbers: [6, 51]
Generated Node #0,0,0: 49:[6, 51] Operation: 65-14=51
Exploring Operation: 65+6=71, Resulting Numbers: [14, 71]
Generated Node #0,0,1: 49:[14, 71] Operation: 65+6=71
Exploring Operation: 65-6=59, Resulting Numbers: [14, 59]
Generated Node #0,0,2: 49:[14, 59] Operation: 65-6=59
Exploring Operation: 14-6=8, Resulting Numbers: [65, 8]
Generated Node #0,0,3: 49:[65, 8] Operation: 14-6=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[6, 51], Operations: ['28/2=14', '65-14=51']
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 6+51=57, Resulting Numbers: [57]
57,49 unequal: No Solution
Exploring Operation: 6*51=306, Resulting Numbers: [306]
306,49 unequal: No Solution
No 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: 49:[14, 59], Operations: ['28/2=14', '65-6=59']
Exploring Operation: 59-14=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 14+59=73, Resulting Numbers: [73]
73,49 unequal: No Solution
Exploring Operation: 14*59=826, Resulting Numbers: [826]
826,49 unequal: No Solution
No 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: 49:[65, 8], Operations: ['28/2=14', '14-6=8']
Exploring Operation: 65+8=73, Resulting Numbers: [73]
73,49 unequal: No Solution
Exploring Operation: 65-8=57, Resulting Numbers: [57]
57,49 unequal: No Solution
Exploring Operation: 65*8=520, Resulting Numbers: [520]
520,49 unequal: No Solution
No 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: 49:[14, 71], Operations: ['28/2=14', '65+6=71']
Exploring Operation: 14+71=85, Resulting Numbers: [85]
85,49 unequal: No Solution
Exploring Operation: 14*71=994, Resulting Numbers: [994]
994,49 unequal: No Solution
Exploring Operation: 71-14=57, Resulting Numbers: [57]
57,49 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: 49:[65, 6, 56], Operations: ['28*2=56']
Exploring Operation: 65+6=71, Resulting Numbers: [56, 71]
Generated Node #0,2,0: 49:[56, 71] Operation: 65+6=71
Exploring Operation: 65-6=59, Resulting Numbers: [56, 59]
Generated Node #0,2,1: 49:[56, 59] Operation: 65-6=59
Exploring Operation: 65-56=9, Resulting Numbers: [6, 9]
Generated Node #0,2,2: 49:[6, 9] Operation: 65-56=9
Exploring Operation: 56-6=50, Resulting Numbers: [65, 50]
Generated Node #0,2,3: 49:[65, 50] Operation: 56-6=50
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 49:[6, 9], Operations: ['28*2=56', '65-56=9']
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,49 unequal: No Solution
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,49 unequal: No Solution
No 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: 49:[56, 59], Operations: ['28*2=56', '65-6=59']
Exploring Operation: 59-56=3, Resulting Numbers: [3]
3,49 unequal: No Solution
Exploring Operation: 56*59=3304, Resulting Numbers: [3304]
3304,49 unequal: No Solution
Exploring Operation: 56+59=115, Resulting Numbers: [115]
115,49 unequal: No Solution
No 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: 49:[65, 50], Operations: ['28*2=56', '56-6=50']
Exploring Operation: 65+50=115, Resulting Numbers: [115]
115,49 unequal: No Solution
Exploring Operation: 65-50=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 65*50=3250, Resulting Numbers: [3250]
3250,49 unequal: No Solution
No 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: 49:[56, 71], Operations: ['28*2=56', '65+6=71']
Exploring Operation: 71-56=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 56+71=127, Resulting Numbers: [127]
127,49 unequal: No Solution
Exploring Operation: 56*71=3976, Resulting Numbers: [3976]
3976,49 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: 49:[28, 2, 59], Operations: ['65-6=59']
Exploring Operation: 28+2=30, Resulting Numbers: [59, 30]
Generated Node #0,1,0: 49:[59, 30] Operation: 28+2=30
Exploring Operation: 59-28=31, Resulting Numbers: [2, 31]
Generated Node #0,1,1: 49:[2, 31] Operation: 59-28=31
Exploring Operation: 28*2=56, Resulting Numbers: [59, 56]
Generated Node #0,1,2: 49:[59, 56] Operation: 28*2=56
Exploring Operation: 28/2=14, Resulting Numbers: [59, 14]
Generated Node #0,1,3: 49:[59, 14] Operation: 28/2=14
Moving to Node #0,1,2
Current State: 49:[59, 56], Operations: ['65-6=59', '28*2=56']
Exploring Operation: 59-56=3, Resulting Numbers: [3]
3,49 unequal: No Solution
Exploring Operation: 59+56=115, Resulting Numbers: [115]
115,49 unequal: No Solution
Exploring Operation: 59*56=3304, Resulting Numbers: [3304]
3304,49 unequal: No Solution
Moving to Node #0,1,3
Current State: 49:[59, 14], Operations: ['65-6=59', '28/2=14']
Exploring Operation: 59-14=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 59*14=826, Resulting Numbers: [826]
826,49 unequal: No Solution
Exploring Operation: 59+14=73, Resulting Numbers: [73]
73,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[2, 31], Operations: ['65-6=59', '59-28=31']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,49 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,49 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[59, 30], Operations: ['65-6=59', '28+2=30']
Exploring Operation: 59-30=29, Resulting Numbers: [29]
29,49 unequal: No Solution
Exploring Operation: 59*30=1770, Resulting Numbers: [1770]
1770,49 unequal: No Solution
Exploring Operation: 59+30=89, Resulting Numbers: [89]
89,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
13,
26,
24,
15
] | 37 | [
"26/13=2",
"24+15=39",
"39-2=37"
] | Current State: 37:[13, 26, 24, 15], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [24, 15, 2]
Generated Node #2: [24, 15, 2] from Operation: 26/13=2
Current State: 37:[24, 15, 2], Operations: ['26/13=2']
Exploring Operation: 24+15=39, Resulting Numbers: [2, 39]
Generated Node #3: [2, 39] from Operation: 24+15=39
Current State: 37:[2, 39], Operations: ['26/13=2', '24+15=39']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[13, 26, 24, 15], Operations: []
Exploring Operation: 13+15=28, Resulting Numbers: [26, 24, 28]
Generated Node #0,0: 37:[26, 24, 28] Operation: 13+15=28
Exploring Operation: 13+24=37, Resulting Numbers: [26, 15, 37]
Generated Node #0,1: 37:[26, 15, 37] Operation: 13+24=37
Exploring Operation: 13+26=39, Resulting Numbers: [24, 15, 39]
Generated Node #0,2: 37:[24, 15, 39] Operation: 13+26=39
Exploring Operation: 24+15=39, Resulting Numbers: [13, 26, 39]
Generated Node #0,3: 37:[13, 26, 39] Operation: 24+15=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[26, 24, 28], Operations: ['13+15=28']
Exploring Operation: 26-24=2, Resulting Numbers: [28, 2]
Generated Node #0,0,0: 37:[28, 2] Operation: 26-24=2
Exploring Operation: 24+28=52, Resulting Numbers: [26, 52]
Generated Node #0,0,1: 37:[26, 52] Operation: 24+28=52
Exploring Operation: 26+28=54, Resulting Numbers: [24, 54]
Generated Node #0,0,2: 37:[24, 54] Operation: 26+28=54
Exploring Operation: 26+24=50, Resulting Numbers: [28, 50]
Generated Node #0,0,3: 37:[28, 50] Operation: 26+24=50
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 37:[28, 50], Operations: ['13+15=28', '26+24=50']
Exploring Operation: 50-28=22, Resulting Numbers: [22]
22,37 unequal: No Solution
Exploring Operation: 28*50=1400, Resulting Numbers: [1400]
1400,37 unequal: No Solution
Exploring Operation: 28+50=78, Resulting Numbers: [78]
78,37 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 #0,0,1
Current State: 37:[26, 52], Operations: ['13+15=28', '24+28=52']
Exploring Operation: 26*52=1352, Resulting Numbers: [1352]
1352,37 unequal: No Solution
Exploring Operation: 52/26=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,37 unequal: No Solution
Exploring Operation: 26+52=78, Resulting Numbers: [78]
78,37 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 #0,0,2
Current State: 37:[24, 54], Operations: ['13+15=28', '26+28=54']
Exploring Operation: 24+54=78, Resulting Numbers: [78]
78,37 unequal: No Solution
Exploring Operation: 54-24=30, Resulting Numbers: [30]
30,37 unequal: No Solution
Exploring Operation: 24*54=1296, Resulting Numbers: [1296]
1296,37 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 #0,0,0
Current State: 37:[28, 2], Operations: ['13+15=28', '26-24=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,37 unequal: No Solution
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,37 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,37 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 #0,1
Current State: 37:[26, 15, 37], Operations: ['13+24=37']
Exploring Operation: 26+15=41, Resulting Numbers: [37, 41]
Generated Node #0,1,0: 37:[37, 41] Operation: 26+15=41
Exploring Operation: 37-15=22, Resulting Numbers: [26, 22]
Generated Node #0,1,1: 37:[26, 22] Operation: 37-15=22
Exploring Operation: 26-15=11, Resulting Numbers: [37, 11]
Generated Node #0,1,2: 37:[37, 11] Operation: 26-15=11
Exploring Operation: 15+37=52, Resulting Numbers: [26, 52]
Generated Node #0,1,3: 37:[26, 52] Operation: 15+37=52
Moving to Node #0,1,0
Current State: 37:[37, 41], Operations: ['13+24=37', '26+15=41']
Exploring Operation: 37*41=1517, Resulting Numbers: [1517]
1517,37 unequal: No Solution
Exploring Operation: 41-37=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 37+41=78, Resulting Numbers: [78]
78,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[37, 11], Operations: ['13+24=37', '26-15=11']
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,37 unequal: No Solution
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,37 unequal: No Solution
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[26, 22], Operations: ['13+24=37', '37-15=22']
Exploring Operation: 26+22=48, Resulting Numbers: [48]
48,37 unequal: No Solution
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 26*22=572, Resulting Numbers: [572]
572,37 unequal: No Solution
Moving to Node #0,1,3
Current State: 37:[26, 52], Operations: ['13+24=37', '15+37=52']
Exploring Operation: 26+52=78, Resulting Numbers: [78]
78,37 unequal: No Solution
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,37 unequal: No Solution
Exploring Operation: 26*52=1352, Resulting Numbers: [1352]
1352,37 unequal: No Solution
Exploring Operation: 52/26=2, Resulting Numbers: [2]
2,37 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 #0,2
Current State: 37:[24, 15, 39], Operations: ['13+26=39']
Exploring Operation: 24-15=9, Resulting Numbers: [39, 9]
Generated Node #0,2,0: 37:[39, 9] Operation: 24-15=9
Exploring Operation: 24+15=39, Resulting Numbers: [39, 39]
Generated Node #0,2,1: 37:[39, 39] Operation: 24+15=39
Exploring Operation: 15+39=54, Resulting Numbers: [24, 54]
Generated Node #0,2,2: 37:[24, 54] Operation: 15+39=54
Exploring Operation: 39-15=24, Resulting Numbers: [24, 24]
Generated Node #0,2,3: 37:[24, 24] Operation: 39-15=24
Moving to Node #0,2,1
Current State: 37:[39, 39], Operations: ['13+26=39', '24+15=39']
Exploring Operation: 39+39=78, Resulting Numbers: [78]
78,37 unequal: No Solution
Exploring Operation: 39*39=1521, Resulting Numbers: [1521]
1521,37 unequal: No Solution
Exploring Operation: 39-39=0, Resulting Numbers: [0]
0,37 unequal: No Solution
Exploring Operation: 39/39=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Moving to Node #0,2,3
Current State: 37:[24, 24], Operations: ['13+26=39', '39-15=24']
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,37 unequal: No Solution
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,37 unequal: No Solution
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,37 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Moving to Node #0,2,2
Current State: 37:[24, 54], Operations: ['13+26=39', '15+39=54']
Exploring Operation: 54-24=30, Resulting Numbers: [30]
30,37 unequal: No Solution
Exploring Operation: 24*54=1296, Resulting Numbers: [1296]
1296,37 unequal: No Solution
Exploring Operation: 24+54=78, Resulting Numbers: [78]
78,37 unequal: No Solution
Moving to Node #0,2,0
Current State: 37:[39, 9], Operations: ['13+26=39', '24-15=9']
Exploring Operation: 39+9=48, Resulting Numbers: [48]
48,37 unequal: No Solution
Exploring Operation: 39-9=30, Resulting Numbers: [30]
30,37 unequal: No Solution
Exploring Operation: 39*9=351, Resulting Numbers: [351]
351,37 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 #0,3
Current State: 37:[13, 26, 39], Operations: ['24+15=39']
Exploring Operation: 13+39=52, Resulting Numbers: [26, 52]
Generated Node #0,3,0: 37:[26, 52] Operation: 13+39=52
Exploring Operation: 39-13=26, Resulting Numbers: [26, 26]
Generated Node #0,3,1: 37:[26, 26] Operation: 39-13=26
Exploring Operation: 13+26=39, Resulting Numbers: [39, 39]
Generated Node #0,3,2: 37:[39, 39] Operation: 13+26=39
Exploring Operation: 26-13=13, Resulting Numbers: [39, 13]
Generated Node #0,3,3: 37:[39, 13] Operation: 26-13=13
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 37:[39, 39], Operations: ['24+15=39', '13+26=39']
Exploring Operation: 39/39=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 39-39=0, Resulting Numbers: [0]
0,37 unequal: No Solution
Exploring Operation: 39+39=78, Resulting Numbers: [78]
78,37 unequal: No Solution
Exploring Operation: 39*39=1521, Resulting Numbers: [1521]
1521,37 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:[26, 26], Operations: ['24+15=39', '39-13=26']
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,37 unequal: No Solution
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,37 unequal: No Solution
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,37 unequal: No Solution
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,37 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:[26, 52], Operations: ['24+15=39', '13+39=52']
Exploring Operation: 26*52=1352, Resulting Numbers: [1352]
1352,37 unequal: No Solution
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,37 unequal: No Solution
Exploring Operation: 26+52=78, Resulting Numbers: [78]
78,37 unequal: No Solution
Exploring Operation: 52/26=2, Resulting Numbers: [2]
2,37 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:[39, 13], Operations: ['24+15=39', '26-13=13']
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,37 unequal: No Solution
Exploring Operation: 39+13=52, Resulting Numbers: [52]
52,37 unequal: No Solution
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,37 unequal: No Solution
Exploring Operation: 39*13=507, Resulting Numbers: [507]
507,37 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 |
[
54,
15,
11,
67
] | 52 | [
"67-54=13",
"15-11=4",
"13*4=52"
] | Current State: 52:[54, 15, 11, 67], Operations: []
Exploring Operation: 67-54=13, Resulting Numbers: [15, 11, 13]
Generated Node #2: [15, 11, 13] from Operation: 67-54=13
Current State: 52:[15, 11, 13], Operations: ['67-54=13']
Exploring Operation: 15-11=4, Resulting Numbers: [13, 4]
Generated Node #3: [13, 4] from Operation: 15-11=4
Current State: 52:[13, 4], Operations: ['67-54=13', '15-11=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[54, 15, 11, 67], Operations: []
Exploring Operation: 67-54=13, Resulting Numbers: [15, 11, 13]
Generated Node #0,0: 52:[15, 11, 13] Operation: 67-54=13
Exploring Operation: 67-11=56, Resulting Numbers: [54, 15, 56]
Generated Node #0,1: 52:[54, 15, 56] Operation: 67-11=56
Exploring Operation: 67-15=52, Resulting Numbers: [54, 11, 52]
Generated Node #0,2: 52:[54, 11, 52] Operation: 67-15=52
Exploring Operation: 15+11=26, Resulting Numbers: [54, 67, 26]
Generated Node #0,3: 52:[54, 67, 26] Operation: 15+11=26
Exploring Operation: 15-11=4, Resulting Numbers: [54, 67, 4]
Generated Node #0,4: 52:[54, 67, 4] Operation: 15-11=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[15, 11, 13], Operations: ['67-54=13']
Exploring Operation: 13-11=2, Resulting Numbers: [15, 2]
Generated Node #0,0,0: 52:[15, 2] Operation: 13-11=2
Exploring Operation: 15-13=2, Resulting Numbers: [11, 2]
Generated Node #0,0,1: 52:[11, 2] Operation: 15-13=2
Exploring Operation: 15+13=28, Resulting Numbers: [11, 28]
Generated Node #0,0,2: 52:[11, 28] Operation: 15+13=28
Exploring Operation: 15+11=26, Resulting Numbers: [13, 26]
Generated Node #0,0,3: 52:[13, 26] Operation: 15+11=26
Exploring Operation: 15-11=4, Resulting Numbers: [13, 4]
Generated Node #0,0,4: 52:[13, 4] Operation: 15-11=4
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 52:[13, 26], Operations: ['67-54=13', '15+11=26']
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Exploring Operation: 13+26=39, Resulting Numbers: [39]
39,52 unequal: No Solution
Exploring Operation: 13*26=338, Resulting Numbers: [338]
338,52 unequal: No Solution
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 52:[13, 4], Operations: ['67-54=13', '15-11=4']
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[54, 15, 11, 67], Operations: []
Exploring Operation: 67-54=13, Resulting Numbers: [15, 11, 13]
Generated Node #0,0: 52:[15, 11, 13] Operation: 67-54=13
Moving to Node #0,0
Current State: 52:[15, 11, 13], Operations: ['67-54=13']
Exploring Operation: 15-11=4, Resulting Numbers: [13, 4]
Generated Node #0,0,4: 52:[13, 4] Operation: 15-11=4
Moving to Node #0,0,4
Current State: 52:[13, 4], Operations: ['67-54=13', '15-11=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_5 | mult_heuristic |
[
34,
37,
42,
37
] | 51 | [
"37-34=3",
"42/3=14",
"37+14=51"
] | Current State: 51:[34, 37, 42, 37], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [42, 3]
Generated Node #2: [42, 3] from Operation: 37-34=3
Current State: 51:[42, 3], Operations: ['37-34=3']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,51 equal: Goal Reached
Exploring Operation: 37+14=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[34, 37, 42, 37], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [42, 37, 3]
Generated Node #0,0: 51:[42, 37, 3] Operation: 37-34=3
Moving to Node #0,0
Current State: 51:[42, 37, 3], Operations: ['37-34=3']
Exploring Operation: 42-37=5, Resulting Numbers: [3, 5]
Generated Node #0,0,0: 51:[3, 5] Operation: 42-37=5
Moving to Node #0,0,0
Current State: 51:[3, 5], Operations: ['37-34=3', '42-37=5']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,51 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
98,
68,
5,
36
] | 14 | [
"98+68=166",
"5*36=180",
"180-166=14"
] | Current State: 14:[98, 68, 5, 36], Operations: []
Exploring Operation: 98+68=166, Resulting Numbers: [5, 36, 166]
Generated Node #2: [5, 36, 166] from Operation: 98+68=166
Current State: 14:[5, 36, 166], Operations: ['98+68=166']
Exploring Operation: 5*36=180, Resulting Numbers: [166, 180]
Generated Node #3: [166, 180] from Operation: 5*36=180
Current State: 14:[166, 180], Operations: ['98+68=166', '5*36=180']
Exploring Operation: 180-166=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[98, 68, 5, 36], Operations: []
Exploring Operation: 98-68=30, Resulting Numbers: [5, 36, 30]
Generated Node #0,0: 14:[5, 36, 30] Operation: 98-68=30
Exploring Operation: 98-36=62, Resulting Numbers: [68, 5, 62]
Generated Node #0,1: 14:[68, 5, 62] Operation: 98-36=62
Exploring Operation: 68-5=63, Resulting Numbers: [98, 36, 63]
Generated Node #0,2: 14:[98, 36, 63] Operation: 68-5=63
Exploring Operation: 68-36=32, Resulting Numbers: [98, 5, 32]
Generated Node #0,3: 14:[98, 5, 32] Operation: 68-36=32
Exploring Operation: 98-5=93, Resulting Numbers: [68, 36, 93]
Generated Node #0,4: 14:[68, 36, 93] Operation: 98-5=93
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[5, 36, 30], Operations: ['98-68=30']
Exploring Operation: 36-30=6, Resulting Numbers: [5, 6]
Generated Node #0,0,0: 14:[5, 6] Operation: 36-30=6
Exploring Operation: 5+36=41, Resulting Numbers: [30, 41]
Generated Node #0,0,1: 14:[30, 41] Operation: 5+36=41
Exploring Operation: 30-5=25, Resulting Numbers: [36, 25]
Generated Node #0,0,2: 14:[36, 25] Operation: 30-5=25
Exploring Operation: 36-5=31, Resulting Numbers: [30, 31]
Generated Node #0,0,3: 14:[30, 31] Operation: 36-5=31
Exploring Operation: 30/5=6, Resulting Numbers: [36, 6]
Generated Node #0,0,4: 14:[36, 6] Operation: 30/5=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 14:[5, 6], Operations: ['98-68=30', '36-30=6']
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,14 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 14:[36, 6], Operations: ['98-68=30', '30/5=6']
Exploring Operation: 36*6=216, Resulting Numbers: [216]
216,14 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,14 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,14 unequal: No Solution
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 14:[36, 25], Operations: ['98-68=30', '30-5=25']
Exploring Operation: 36-25=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 36*25=900, Resulting Numbers: [900]
900,14 unequal: No Solution
Exploring Operation: 36+25=61, Resulting Numbers: [61]
61,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 14:[30, 31], Operations: ['98-68=30', '36-5=31']
Exploring Operation: 30*31=930, Resulting Numbers: [930]
930,14 unequal: No Solution
Exploring Operation: 30+31=61, Resulting Numbers: [61]
61,14 unequal: No Solution
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 14:[30, 41], Operations: ['98-68=30', '5+36=41']
Exploring Operation: 30+41=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 30*41=1230, Resulting Numbers: [1230]
1230,14 unequal: No Solution
Exploring Operation: 41-30=11, Resulting Numbers: [11]
11,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[68, 5, 62], Operations: ['98-36=62']
Exploring Operation: 68+5=73, Resulting Numbers: [62, 73]
Generated Node #0,1,0: 14:[62, 73] Operation: 68+5=73
Exploring Operation: 68-5=63, Resulting Numbers: [62, 63]
Generated Node #0,1,1: 14:[62, 63] Operation: 68-5=63
Exploring Operation: 5+62=67, Resulting Numbers: [68, 67]
Generated Node #0,1,2: 14:[68, 67] Operation: 5+62=67
Exploring Operation: 62-5=57, Resulting Numbers: [68, 57]
Generated Node #0,1,3: 14:[68, 57] Operation: 62-5=57
Exploring Operation: 68-62=6, Resulting Numbers: [5, 6]
Generated Node #0,1,4: 14:[5, 6] Operation: 68-62=6
Moving to Node #0,1,4
Current State: 14:[5, 6], Operations: ['98-36=62', '68-62=6']
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,14 unequal: No Solution
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Moving to Node #0,1,3
Current State: 14:[68, 57], Operations: ['98-36=62', '62-5=57']
Exploring Operation: 68*57=3876, Resulting Numbers: [3876]
3876,14 unequal: No Solution
Exploring Operation: 68+57=125, Resulting Numbers: [125]
125,14 unequal: No Solution
Exploring Operation: 68-57=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Moving to Node #0,1,1
Current State: 14:[62, 63], Operations: ['98-36=62', '68-5=63']
Exploring Operation: 62*63=3906, Resulting Numbers: [3906]
3906,14 unequal: No Solution
Exploring Operation: 62+63=125, Resulting Numbers: [125]
125,14 unequal: No Solution
Exploring Operation: 63-62=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Moving to Node #0,1,0
Current State: 14:[62, 73], Operations: ['98-36=62', '68+5=73']
Exploring Operation: 73-62=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 62*73=4526, Resulting Numbers: [4526]
4526,14 unequal: No Solution
Exploring Operation: 62+73=135, Resulting Numbers: [135]
135,14 unequal: No Solution
Moving to Node #0,1,2
Current State: 14:[68, 67], Operations: ['98-36=62', '5+62=67']
Exploring Operation: 68*67=4556, Resulting Numbers: [4556]
4556,14 unequal: No Solution
Exploring Operation: 68+67=135, Resulting Numbers: [135]
135,14 unequal: No Solution
Exploring Operation: 68-67=1, Resulting Numbers: [1]
1,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 14:[98, 5, 32], Operations: ['68-36=32']
Exploring Operation: 5+32=37, Resulting Numbers: [98, 37]
Generated Node #0,3,0: 14:[98, 37] Operation: 5+32=37
Exploring Operation: 98-5=93, Resulting Numbers: [32, 93]
Generated Node #0,3,1: 14:[32, 93] Operation: 98-5=93
Exploring Operation: 98-32=66, Resulting Numbers: [5, 66]
Generated Node #0,3,2: 14:[5, 66] Operation: 98-32=66
Exploring Operation: 32-5=27, Resulting Numbers: [98, 27]
Generated Node #0,3,3: 14:[98, 27] Operation: 32-5=27
Exploring Operation: 98+5=103, Resulting Numbers: [32, 103]
Generated Node #0,3,4: 14:[32, 103] Operation: 98+5=103
Moving to Node #0,3,2
Current State: 14:[5, 66], Operations: ['68-36=32', '98-32=66']
Exploring Operation: 5*66=330, Resulting Numbers: [330]
330,14 unequal: No Solution
Exploring Operation: 5+66=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,14 unequal: No Solution
Moving to Node #0,3,3
Current State: 14:[98, 27], Operations: ['68-36=32', '32-5=27']
Exploring Operation: 98-27=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 98*27=2646, Resulting Numbers: [2646]
2646,14 unequal: No Solution
Exploring Operation: 98+27=125, Resulting Numbers: [125]
125,14 unequal: No Solution
Moving to Node #0,3,1
Current State: 14:[32, 93], Operations: ['68-36=32', '98-5=93']
Exploring Operation: 32*93=2976, Resulting Numbers: [2976]
2976,14 unequal: No Solution
Exploring Operation: 93-32=61, Resulting Numbers: [61]
61,14 unequal: No Solution
Exploring Operation: 32+93=125, Resulting Numbers: [125]
125,14 unequal: No Solution
Moving to Node #0,3,0
Current State: 14:[98, 37], Operations: ['68-36=32', '5+32=37']
Exploring Operation: 98-37=61, Resulting Numbers: [61]
61,14 unequal: No Solution
Exploring Operation: 98+37=135, Resulting Numbers: [135]
135,14 unequal: No Solution
Exploring Operation: 98*37=3626, Resulting Numbers: [3626]
3626,14 unequal: No Solution
Moving to Node #0,3,4
Current State: 14:[32, 103], Operations: ['68-36=32', '98+5=103']
Exploring Operation: 32*103=3296, Resulting Numbers: [3296]
3296,14 unequal: No Solution
Exploring Operation: 32+103=135, Resulting Numbers: [135]
135,14 unequal: No Solution
Exploring Operation: 103-32=71, Resulting Numbers: [71]
71,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 14:[98, 36, 63], Operations: ['68-5=63']
Exploring Operation: 98-36=62, Resulting Numbers: [63, 62]
Generated Node #0,2,0: 14:[63, 62] Operation: 98-36=62
Exploring Operation: 63-36=27, Resulting Numbers: [98, 27]
Generated Node #0,2,1: 14:[98, 27] Operation: 63-36=27
Exploring Operation: 98+36=134, Resulting Numbers: [63, 134]
Generated Node #0,2,2: 14:[63, 134] Operation: 98+36=134
Exploring Operation: 98-63=35, Resulting Numbers: [36, 35]
Generated Node #0,2,3: 14:[36, 35] Operation: 98-63=35
Exploring Operation: 98+63=161, Resulting Numbers: [36, 161]
Generated Node #0,2,4: 14:[36, 161] Operation: 98+63=161
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 14:[36, 35], Operations: ['68-5=63', '98-63=35']
Exploring Operation: 36*35=1260, Resulting Numbers: [1260]
1260,14 unequal: No Solution
Exploring Operation: 36-35=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Exploring Operation: 36+35=71, Resulting Numbers: [71]
71,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 14:[63, 62], Operations: ['68-5=63', '98-36=62']
Exploring Operation: 63+62=125, Resulting Numbers: [125]
125,14 unequal: No Solution
Exploring Operation: 63*62=3906, Resulting Numbers: [3906]
3906,14 unequal: No Solution
Exploring Operation: 63-62=1, Resulting Numbers: [1]
1,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 14:[98, 27], Operations: ['68-5=63', '63-36=27']
Exploring Operation: 98-27=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 98+27=125, Resulting Numbers: [125]
125,14 unequal: No Solution
Exploring Operation: 98*27=2646, Resulting Numbers: [2646]
2646,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 14:[63, 134], Operations: ['68-5=63', '98+36=134']
Exploring Operation: 63*134=8442, Resulting Numbers: [8442]
8442,14 unequal: No Solution
Exploring Operation: 134-63=71, Resulting Numbers: [71]
71,14 unequal: No Solution
Exploring Operation: 63+134=197, Resulting Numbers: [197]
197,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 14:[36, 161], Operations: ['68-5=63', '98+63=161']
Exploring Operation: 36*161=5796, Resulting Numbers: [5796]
5796,14 unequal: No Solution
Exploring Operation: 36+161=197, Resulting Numbers: [197]
197,14 unequal: No Solution
Exploring Operation: 161-36=125, Resulting Numbers: [125]
125,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 14:[68, 36, 93], Operations: ['98-5=93']
Exploring Operation: 93-68=25, Resulting Numbers: [36, 25]
Generated Node #0,4,0: 14:[36, 25] Operation: 93-68=25
Exploring Operation: 68-36=32, Resulting Numbers: [93, 32]
Generated Node #0,4,1: 14:[93, 32] Operation: 68-36=32
Exploring Operation: 68+36=104, Resulting Numbers: [93, 104]
Generated Node #0,4,2: 14:[93, 104] Operation: 68+36=104
Exploring Operation: 68+93=161, Resulting Numbers: [36, 161]
Generated Node #0,4,3: 14:[36, 161] Operation: 68+93=161
Exploring Operation: 93-36=57, Resulting Numbers: [68, 57]
Generated Node #0,4,4: 14:[68, 57] Operation: 93-36=57
Moving to Node #0,4,0
Current State: 14:[36, 25], Operations: ['98-5=93', '93-68=25']
Exploring Operation: 36*25=900, Resulting Numbers: [900]
900,14 unequal: No Solution
Exploring Operation: 36+25=61, Resulting Numbers: [61]
61,14 unequal: No Solution
Exploring Operation: 36-25=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Moving to Node #0,4,4
Current State: 14:[68, 57], Operations: ['98-5=93', '93-36=57']
Exploring Operation: 68*57=3876, Resulting Numbers: [3876]
3876,14 unequal: No Solution
Exploring Operation: 68-57=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 68+57=125, Resulting Numbers: [125]
125,14 unequal: No Solution
Moving to Node #0,4,1
Current State: 14:[93, 32], Operations: ['98-5=93', '68-36=32']
Exploring Operation: 93+32=125, Resulting Numbers: [125]
125,14 unequal: No Solution
Exploring Operation: 93-32=61, Resulting Numbers: [61]
61,14 unequal: No Solution
Exploring Operation: 93*32=2976, Resulting Numbers: [2976]
2976,14 unequal: No Solution
Moving to Node #0,4,2
Current State: 14:[93, 104], Operations: ['98-5=93', '68+36=104']
Exploring Operation: 93+104=197, Resulting Numbers: [197]
197,14 unequal: No Solution
Exploring Operation: 104-93=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 93*104=9672, Resulting Numbers: [9672]
9672,14 unequal: No Solution
Moving to Node #0,4,3
Current State: 14:[36, 161], Operations: ['98-5=93', '68+93=161']
Exploring Operation: 161-36=125, Resulting Numbers: [125]
125,14 unequal: No Solution
Exploring Operation: 36*161=5796, Resulting Numbers: [5796]
5796,14 unequal: No Solution
Exploring Operation: 36+161=197, Resulting Numbers: [197]
197,14 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 |
[
5,
58,
93,
90
] | 66 | [
"5+58=63",
"93-90=3",
"63+3=66"
] | Current State: 66:[5, 58, 93, 90], Operations: []
Exploring Operation: 5+58=63, Resulting Numbers: [93, 90, 63]
Generated Node #2: [93, 90, 63] from Operation: 5+58=63
Current State: 66:[93, 90, 63], Operations: ['5+58=63']
Exploring Operation: 93-90=3, Resulting Numbers: [63, 3]
Generated Node #3: [63, 3] from Operation: 93-90=3
Current State: 66:[63, 3], Operations: ['5+58=63', '93-90=3']
Exploring Operation: 63+3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[5, 58, 93, 90], Operations: []
Exploring Operation: 90/5=18, Resulting Numbers: [58, 93, 18]
Generated Node #0,0: 66:[58, 93, 18] Operation: 90/5=18
Exploring Operation: 93-58=35, Resulting Numbers: [5, 90, 35]
Generated Node #0,1: 66:[5, 90, 35] Operation: 93-58=35
Exploring Operation: 93-90=3, Resulting Numbers: [5, 58, 3]
Generated Node #0,2: 66:[5, 58, 3] Operation: 93-90=3
Exploring Operation: 90-58=32, Resulting Numbers: [5, 93, 32]
Generated Node #0,3: 66:[5, 93, 32] Operation: 90-58=32
Moving to Node #0,2
Current State: 66:[5, 58, 3], Operations: ['93-90=3']
Exploring Operation: 58+3=61, Resulting Numbers: [5, 61]
Generated Node #0,2,0: 66:[5, 61] Operation: 58+3=61
Exploring Operation: 5+3=8, Resulting Numbers: [58, 8]
Generated Node #0,2,1: 66:[58, 8] Operation: 5+3=8
Exploring Operation: 5-3=2, Resulting Numbers: [58, 2]
Generated Node #0,2,2: 66:[58, 2] Operation: 5-3=2
Exploring Operation: 5+58=63, Resulting Numbers: [3, 63]
Generated Node #0,2,3: 66:[3, 63] Operation: 5+58=63
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 66:[3, 63], Operations: ['93-90=3', '5+58=63']
Exploring Operation: 3+63=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[5, 58, 93, 90], Operations: []
Exploring Operation: 93-90=3, Resulting Numbers: [5, 58, 3]
Generated Node #0,2: 66:[5, 58, 3] Operation: 93-90=3
Moving to Node #0,2
Current State: 66:[5, 58, 3], Operations: ['93-90=3']
Exploring Operation: 5+58=63, Resulting Numbers: [3, 63]
Generated Node #0,2,3: 66:[3, 63] Operation: 5+58=63
Moving to Node #0,2,3
Current State: 66:[3, 63], Operations: ['93-90=3', '5+58=63']
Exploring Operation: 3+63=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
33,
31,
12,
91
] | 16 | [
"33+91=124",
"124/31=4",
"12+4=16"
] | Current State: 16:[33, 31, 12, 91], Operations: []
Exploring Operation: 33+91=124, Resulting Numbers: [31, 12, 124]
Generated Node #2: [31, 12, 124] from Operation: 33+91=124
Current State: 16:[31, 12, 124], Operations: ['33+91=124']
Exploring Operation: 124/31=4, Resulting Numbers: [12, 4]
Generated Node #3: [12, 4] from Operation: 124/31=4
Current State: 16:[12, 4], Operations: ['33+91=124', '124/31=4']
Exploring Operation: 12+4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[33, 31, 12, 91], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [12, 91, 2]
Generated Node #0,0: 16:[12, 91, 2] Operation: 33-31=2
Exploring Operation: 91-33=58, Resulting Numbers: [31, 12, 58]
Generated Node #0,1: 16:[31, 12, 58] Operation: 91-33=58
Exploring Operation: 91-31=60, Resulting Numbers: [33, 12, 60]
Generated Node #0,2: 16:[33, 12, 60] Operation: 91-31=60
Moving to Node #0,1
Current State: 16:[31, 12, 58], Operations: ['91-33=58']
Exploring Operation: 58-31=27, Resulting Numbers: [12, 27]
Generated Node #0,1,0: 16:[12, 27] Operation: 58-31=27
Exploring Operation: 58-12=46, Resulting Numbers: [31, 46]
Generated Node #0,1,1: 16:[31, 46] Operation: 58-12=46
Exploring Operation: 31-12=19, Resulting Numbers: [58, 19]
Generated Node #0,1,2: 16:[58, 19] Operation: 31-12=19
Moving to Node #0,2
Current State: 16:[33, 12, 60], Operations: ['91-31=60']
Exploring Operation: 60-33=27, Resulting Numbers: [12, 27]
Generated Node #0,2,0: 16:[12, 27] Operation: 60-33=27
Exploring Operation: 33-12=21, Resulting Numbers: [60, 21]
Generated Node #0,2,1: 16:[60, 21] Operation: 33-12=21
Exploring Operation: 60/12=5, Resulting Numbers: [33, 5]
Generated Node #0,2,2: 16:[33, 5] Operation: 60/12=5
Moving to Node #0,0
Current State: 16:[12, 91, 2], Operations: ['33-31=2']
Exploring Operation: 12-2=10, Resulting Numbers: [91, 10]
Generated Node #0,0,0: 16:[91, 10] Operation: 12-2=10
Exploring Operation: 91-12=79, Resulting Numbers: [2, 79]
Generated Node #0,0,1: 16:[2, 79] Operation: 91-12=79
Exploring Operation: 12+2=14, Resulting Numbers: [91, 14]
Generated Node #0,0,2: 16:[91, 14] Operation: 12+2=14
Moving to Node #0,1,0
Current State: 16:[12, 27], Operations: ['91-33=58', '58-31=27']
Exploring Operation: 12+27=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Exploring Operation: 12*27=324, Resulting Numbers: [324]
324,16 unequal: No Solution
Moving to Node #0,2,0
Current State: 16:[12, 27], Operations: ['91-31=60', '60-33=27']
Exploring Operation: 12+27=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 12*27=324, Resulting Numbers: [324]
324,16 unequal: No Solution
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Moving to Node #0,2,2
Current State: 16:[33, 5], Operations: ['91-31=60', '60/12=5']
Exploring Operation: 33*5=165, Resulting Numbers: [165]
165,16 unequal: No Solution
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Exploring Operation: 33+5=38, Resulting Numbers: [38]
38,16 unequal: No Solution
Moving to Node #0,1,2
Current State: 16:[58, 19], Operations: ['91-33=58', '31-12=19']
Exploring Operation: 58*19=1102, Resulting Numbers: [1102]
1102,16 unequal: No Solution
Exploring Operation: 58+19=77, Resulting Numbers: [77]
77,16 unequal: No Solution
Exploring Operation: 58-19=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[31, 46], Operations: ['91-33=58', '58-12=46']
Exploring Operation: 46-31=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Exploring Operation: 31+46=77, Resulting Numbers: [77]
77,16 unequal: No Solution
Exploring Operation: 31*46=1426, Resulting Numbers: [1426]
1426,16 unequal: No Solution
Moving to Node #0,2,1
Current State: 16:[60, 21], Operations: ['91-31=60', '33-12=21']
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 60*21=1260, Resulting Numbers: [1260]
1260,16 unequal: No Solution
Exploring Operation: 60+21=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Moving to Node #0,0,1
Current State: 16:[2, 79], Operations: ['33-31=2', '91-12=79']
Exploring Operation: 2+79=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,16 unequal: No Solution
Exploring Operation: 2*79=158, Resulting Numbers: [158]
158,16 unequal: No Solution
Moving to Node #0,0,0
Current State: 16:[91, 10], Operations: ['33-31=2', '12-2=10']
Exploring Operation: 91*10=910, Resulting Numbers: [910]
910,16 unequal: No Solution
Exploring Operation: 91+10=101, Resulting Numbers: [101]
101,16 unequal: No Solution
Exploring Operation: 91-10=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Moving to Node #0,0,2
Current State: 16:[91, 14], Operations: ['33-31=2', '12+2=14']
Exploring Operation: 91+14=105, Resulting Numbers: [105]
105,16 unequal: No Solution
Exploring Operation: 91-14=77, Resulting Numbers: [77]
77,16 unequal: No Solution
Exploring Operation: 91*14=1274, Resulting Numbers: [1274]
1274,16 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
5,
50,
86,
2
] | 88 | [
"50-5=45",
"86/2=43",
"45+43=88"
] | Current State: 88:[5, 50, 86, 2], Operations: []
Exploring Operation: 50-5=45, Resulting Numbers: [86, 2, 45]
Generated Node #2: [86, 2, 45] from Operation: 50-5=45
Current State: 88:[86, 2, 45], Operations: ['50-5=45']
Exploring Operation: 86/2=43, Resulting Numbers: [45, 43]
Generated Node #3: [45, 43] from Operation: 86/2=43
Current State: 88:[45, 43], Operations: ['50-5=45', '86/2=43']
Exploring Operation: 45+43=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[5, 50, 86, 2], Operations: []
Exploring Operation: 50-2=48, Resulting Numbers: [5, 86, 48]
Generated Node #0,0: 88:[5, 86, 48] Operation: 50-2=48
Exploring Operation: 50/2=25, Resulting Numbers: [5, 86, 25]
Generated Node #0,1: 88:[5, 86, 25] Operation: 50/2=25
Exploring Operation: 50/5=10, Resulting Numbers: [86, 2, 10]
Generated Node #0,2: 88:[86, 2, 10] Operation: 50/5=10
Exploring Operation: 50-5=45, Resulting Numbers: [86, 2, 45]
Generated Node #0,3: 88:[86, 2, 45] Operation: 50-5=45
Moving to Node #0,2
Current State: 88:[86, 2, 10], Operations: ['50/5=10']
Exploring Operation: 10-2=8, Resulting Numbers: [86, 8]
Generated Node #0,2,0: 88:[86, 8] Operation: 10-2=8
Exploring Operation: 86+2=88, Resulting Numbers: [10, 88]
Generated Node #0,2,1: 88:[10, 88] Operation: 86+2=88
Exploring Operation: 2+10=12, Resulting Numbers: [86, 12]
Generated Node #0,2,2: 88:[86, 12] Operation: 2+10=12
Exploring Operation: 86/2=43, Resulting Numbers: [10, 43]
Generated Node #0,2,3: 88:[10, 43] Operation: 86/2=43
Moving to Node #0,3
Current State: 88:[86, 2, 45], Operations: ['50-5=45']
Exploring Operation: 86/2=43, Resulting Numbers: [45, 43]
Generated Node #0,3,0: 88:[45, 43] Operation: 86/2=43
Exploring Operation: 86-45=41, Resulting Numbers: [2, 41]
Generated Node #0,3,1: 88:[2, 41] Operation: 86-45=41
Exploring Operation: 86+2=88, Resulting Numbers: [45, 88]
Generated Node #0,3,2: 88:[45, 88] Operation: 86+2=88
Exploring Operation: 45-2=43, Resulting Numbers: [86, 43]
Generated Node #0,3,3: 88:[86, 43] Operation: 45-2=43
Moving to Node #0,1
Current State: 88:[5, 86, 25], Operations: ['50/2=25']
Exploring Operation: 25/5=5, Resulting Numbers: [86, 5]
Generated Node #0,1,0: 88:[86, 5] Operation: 25/5=5
Exploring Operation: 5+86=91, Resulting Numbers: [25, 91]
Generated Node #0,1,1: 88:[25, 91] Operation: 5+86=91
Exploring Operation: 25-5=20, Resulting Numbers: [86, 20]
Generated Node #0,1,2: 88:[86, 20] Operation: 25-5=20
Exploring Operation: 86-5=81, Resulting Numbers: [25, 81]
Generated Node #0,1,3: 88:[25, 81] Operation: 86-5=81
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 88:[86, 5], Operations: ['50/2=25', '25/5=5']
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,88 unequal: No Solution
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,88 unequal: No Solution
Exploring Operation: 86*5=430, Resulting Numbers: [430]
430,88 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:[86, 20], Operations: ['50/2=25', '25-5=20']
Exploring Operation: 86*20=1720, Resulting Numbers: [1720]
1720,88 unequal: No Solution
Exploring Operation: 86+20=106, Resulting Numbers: [106]
106,88 unequal: No Solution
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,88 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 #0,1,1
Current State: 88:[25, 91], Operations: ['50/2=25', '5+86=91']
Exploring Operation: 25*91=2275, Resulting Numbers: [2275]
2275,88 unequal: No Solution
Exploring Operation: 25+91=116, Resulting Numbers: [116]
116,88 unequal: No Solution
Exploring Operation: 91-25=66, Resulting Numbers: [66]
66,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 88:[25, 81], Operations: ['50/2=25', '86-5=81']
Exploring Operation: 81-25=56, Resulting Numbers: [56]
56,88 unequal: No Solution
Exploring Operation: 25*81=2025, Resulting Numbers: [2025]
2025,88 unequal: No Solution
Exploring Operation: 25+81=106, Resulting Numbers: [106]
106,88 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: 88:[5, 86, 48], Operations: ['50-2=48']
Exploring Operation: 48-5=43, Resulting Numbers: [86, 43]
Generated Node #0,0,0: 88:[86, 43] Operation: 48-5=43
Exploring Operation: 86-48=38, Resulting Numbers: [5, 38]
Generated Node #0,0,1: 88:[5, 38] Operation: 86-48=38
Exploring Operation: 5+86=91, Resulting Numbers: [48, 91]
Generated Node #0,0,2: 88:[48, 91] Operation: 5+86=91
Exploring Operation: 86-5=81, Resulting Numbers: [48, 81]
Generated Node #0,0,3: 88:[48, 81] Operation: 86-5=81
Moving to Node #0,2,1
Current State: 88:[10, 88], Operations: ['50/5=10', '86+2=88']
Exploring Operation: 10+88=98, Resulting Numbers: [98]
98,88 unequal: No Solution
Exploring Operation: 10*88=880, Resulting Numbers: [880]
880,88 unequal: No Solution
Exploring Operation: 88-10=78, Resulting Numbers: [78]
78,88 unequal: No Solution
Moving to Node #0,3,2
Current State: 88:[45, 88], Operations: ['50-5=45', '86+2=88']
Exploring Operation: 45*88=3960, Resulting Numbers: [3960]
3960,88 unequal: No Solution
Exploring Operation: 45+88=133, Resulting Numbers: [133]
133,88 unequal: No Solution
Exploring Operation: 88-45=43, Resulting Numbers: [43]
43,88 unequal: No Solution
Moving to Node #0,2,3
Current State: 88:[10, 43], Operations: ['50/5=10', '86/2=43']
Exploring Operation: 10*43=430, Resulting Numbers: [430]
430,88 unequal: No Solution
Exploring Operation: 10+43=53, Resulting Numbers: [53]
53,88 unequal: No Solution
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,88 unequal: No Solution
Moving to Node #0,3,0
Current State: 88:[45, 43], Operations: ['50-5=45', '86/2=43']
Exploring Operation: 45*43=1935, Resulting Numbers: [1935]
1935,88 unequal: No Solution
Exploring Operation: 45-43=2, Resulting Numbers: [2]
2,88 unequal: No Solution
Exploring Operation: 45+43=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[5, 50, 86, 2], Operations: []
Exploring Operation: 50-5=45, Resulting Numbers: [86, 2, 45]
Generated Node #0,3: 88:[86, 2, 45] Operation: 50-5=45
Moving to Node #0,3
Current State: 88:[86, 2, 45], Operations: ['50-5=45']
Exploring Operation: 86/2=43, Resulting Numbers: [45, 43]
Generated Node #0,3,0: 88:[45, 43] Operation: 86/2=43
Moving to Node #0,3,0
Current State: 88:[45, 43], Operations: ['50-5=45', '86/2=43']
Exploring Operation: 45+43=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 0.958333 | hs_4 | mult_heuristic |
[
81,
91,
24,
1
] | 33 | [
"91-81=10",
"24-1=23",
"10+23=33"
] | Current State: 33:[81, 91, 24, 1], Operations: []
Exploring Operation: 91-81=10, Resulting Numbers: [24, 1, 10]
Generated Node #2: [24, 1, 10] from Operation: 91-81=10
Current State: 33:[24, 1, 10], Operations: ['91-81=10']
Exploring Operation: 24-1=23, Resulting Numbers: [10, 23]
Generated Node #3: [10, 23] from Operation: 24-1=23
Current State: 33:[10, 23], Operations: ['91-81=10', '24-1=23']
Exploring Operation: 10+23=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[81, 91, 24, 1], Operations: []
Exploring Operation: 91-81=10, Resulting Numbers: [24, 1, 10]
Generated Node #0,0: 33:[24, 1, 10] Operation: 91-81=10
Moving to Node #0,0
Current State: 33:[24, 1, 10], Operations: ['91-81=10']
Exploring Operation: 24+10=34, Resulting Numbers: [1, 34]
Generated Node #0,0,0: 33:[1, 34] Operation: 24+10=34
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[1, 34], Operations: ['91-81=10', '24+10=34']
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[81, 91, 24, 1], Operations: []
Exploring Operation: 91-81=10, Resulting Numbers: [24, 1, 10]
Generated Node #0,0: 33:[24, 1, 10] Operation: 91-81=10
Moving to Node #0,0
Current State: 33:[24, 1, 10], Operations: ['91-81=10']
Exploring Operation: 24+10=34, Resulting Numbers: [1, 34]
Generated Node #0,0,0: 33:[1, 34] Operation: 24+10=34
Moving to Node #0,0,0
Current State: 33:[1, 34], Operations: ['91-81=10', '24+10=34']
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
98,
65,
50,
70
] | 88 | [
"70-65=5",
"50/5=10",
"98-10=88"
] | Current State: 88:[98, 65, 50, 70], Operations: []
Exploring Operation: 70-65=5, Resulting Numbers: [98, 50, 5]
Generated Node #2: [98, 50, 5] from Operation: 70-65=5
Current State: 88:[98, 50, 5], Operations: ['70-65=5']
Exploring Operation: 50/5=10, Resulting Numbers: [98, 10]
Generated Node #3: [98, 10] from Operation: 50/5=10
Current State: 88:[98, 10], Operations: ['70-65=5', '50/5=10']
Exploring Operation: 98-10=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[98, 65, 50, 70], Operations: []
Exploring Operation: 70-65=5, Resulting Numbers: [98, 50, 5]
Generated Node #0,0: 88:[98, 50, 5] Operation: 70-65=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[98, 50, 5], Operations: ['70-65=5']
Exploring Operation: 98-50=48, Resulting Numbers: [5, 48]
Generated Node #0,0,0: 88:[5, 48] Operation: 98-50=48
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[5, 48], Operations: ['70-65=5', '98-50=48']
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,88 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
No solution found.
| 0 | hs_1 | mult_heuristic |
[
38,
26,
10,
38
] | 35 | [
"38/38=1",
"26+10=36",
"36-1=35"
] | Current State: 35:[38, 26, 10, 38], Operations: []
Exploring Operation: 38/38=1, Resulting Numbers: [26, 10, 1]
Generated Node #2: [26, 10, 1] from Operation: 38/38=1
Current State: 35:[26, 10, 1], Operations: ['38/38=1']
Exploring Operation: 26+10=36, Resulting Numbers: [1, 36]
Generated Node #3: [1, 36] from Operation: 26+10=36
Current State: 35:[1, 36], Operations: ['38/38=1', '26+10=36']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[38, 26, 10, 38], Operations: []
Exploring Operation: 26+10=36, Resulting Numbers: [38, 38, 36]
Generated Node #0,0: 35:[38, 38, 36] Operation: 26+10=36
Exploring Operation: 38-26=12, Resulting Numbers: [10, 38, 12]
Generated Node #0,1: 35:[10, 38, 12] Operation: 38-26=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[38, 38, 36], Operations: ['26+10=36']
Exploring Operation: 38-38=0, Resulting Numbers: [36, 0]
Generated Node #0,0,0: 35:[36, 0] Operation: 38-38=0
Exploring Operation: 38/38=1, Resulting Numbers: [36, 1]
Generated Node #0,0,1: 35:[36, 1] Operation: 38/38=1
Moving to Node #0,0,1
Current State: 35:[36, 1], Operations: ['26+10=36', '38/38=1']
Exploring Operation: 36*1=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[38, 26, 10, 38], Operations: []
Exploring Operation: 26+10=36, Resulting Numbers: [38, 38, 36]
Generated Node #0,0: 35:[38, 38, 36] Operation: 26+10=36
Moving to Node #0,0
Current State: 35:[38, 38, 36], Operations: ['26+10=36']
Exploring Operation: 38/38=1, Resulting Numbers: [36, 1]
Generated Node #0,0,1: 35:[36, 1] Operation: 38/38=1
Moving to Node #0,0,1
Current State: 35:[36, 1], Operations: ['26+10=36', '38/38=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
16,
8,
31,
22
] | 18 | [
"16/8=2",
"31-22=9",
"2*9=18"
] | Current State: 18:[16, 8, 31, 22], Operations: []
Exploring Operation: 16/8=2, Resulting Numbers: [31, 22, 2]
Generated Node #2: [31, 22, 2] from Operation: 16/8=2
Current State: 18:[31, 22, 2], Operations: ['16/8=2']
Exploring Operation: 31-22=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 31-22=9
Current State: 18:[2, 9], Operations: ['16/8=2', '31-22=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[16, 8, 31, 22], Operations: []
Exploring Operation: 31-16=15, Resulting Numbers: [8, 22, 15]
Generated Node #0,0: 18:[8, 22, 15] Operation: 31-16=15
Exploring Operation: 31-22=9, Resulting Numbers: [16, 8, 9]
Generated Node #0,1: 18:[16, 8, 9] Operation: 31-22=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[16, 8, 9], Operations: ['31-22=9']
Exploring Operation: 16/8=2, Resulting Numbers: [9, 2]
Generated Node #0,1,0: 18:[9, 2] Operation: 16/8=2
Exploring Operation: 16-8=8, Resulting Numbers: [9, 8]
Generated Node #0,1,1: 18:[9, 8] Operation: 16-8=8
Moving to Node #0,1,0
Current State: 18:[9, 2], Operations: ['31-22=9', '16/8=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[16, 8, 31, 22], Operations: []
Exploring Operation: 31-22=9, Resulting Numbers: [16, 8, 9]
Generated Node #0,1: 18:[16, 8, 9] Operation: 31-22=9
Moving to Node #0,1
Current State: 18:[16, 8, 9], Operations: ['31-22=9']
Exploring Operation: 16/8=2, Resulting Numbers: [9, 2]
Generated Node #0,1,0: 18:[9, 2] Operation: 16/8=2
Moving to Node #0,1,0
Current State: 18:[9, 2], Operations: ['31-22=9', '16/8=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
10,
27,
72,
38
] | 93 | [
"27-10=17",
"72+38=110",
"110-17=93"
] | Current State: 93:[10, 27, 72, 38], Operations: []
Exploring Operation: 27-10=17, Resulting Numbers: [72, 38, 17]
Generated Node #2: [72, 38, 17] from Operation: 27-10=17
Current State: 93:[72, 38, 17], Operations: ['27-10=17']
Exploring Operation: 72+38=110, Resulting Numbers: [17, 110]
Generated Node #3: [17, 110] from Operation: 72+38=110
Current State: 93:[17, 110], Operations: ['27-10=17', '72+38=110']
Exploring Operation: 110-17=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[10, 27, 72, 38], Operations: []
Exploring Operation: 72-38=34, Resulting Numbers: [10, 27, 34]
Generated Node #0,0: 93:[10, 27, 34] Operation: 72-38=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[10, 27, 34], Operations: ['72-38=34']
Exploring Operation: 10+27=37, Resulting Numbers: [34, 37]
Generated Node #0,0,0: 93:[34, 37] Operation: 10+27=37
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 93:[34, 37], Operations: ['72-38=34', '10+27=37']
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
16,
32,
97,
65
] | 64 | [
"32/16=2",
"97-65=32",
"2*32=64"
] | Current State: 64:[16, 32, 97, 65], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [97, 65, 2]
Generated Node #2: [97, 65, 2] from Operation: 32/16=2
Current State: 64:[97, 65, 2], Operations: ['32/16=2']
Exploring Operation: 97-65=32, Resulting Numbers: [2, 32]
Generated Node #3: [2, 32] from Operation: 97-65=32
Current State: 64:[2, 32], Operations: ['32/16=2', '97-65=32']
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[16, 32, 97, 65], Operations: []
Exploring Operation: 97-32=65, Resulting Numbers: [16, 65, 65]
Generated Node #0,0: 64:[16, 65, 65] Operation: 97-32=65
Exploring Operation: 97-65=32, Resulting Numbers: [16, 32, 32]
Generated Node #0,1: 64:[16, 32, 32] Operation: 97-65=32
Exploring Operation: 97-16=81, Resulting Numbers: [32, 65, 81]
Generated Node #0,2: 64:[32, 65, 81] Operation: 97-16=81
Moving to Node #0,1
Current State: 64:[16, 32, 32], Operations: ['97-65=32']
Exploring Operation: 32-16=16, Resulting Numbers: [32, 16]
Generated Node #0,1,0: 64:[32, 16] Operation: 32-16=16
Exploring Operation: 32/16=2, Resulting Numbers: [32, 2]
Generated Node #0,1,1: 64:[32, 2] Operation: 32/16=2
Exploring Operation: 32-16=16, Resulting Numbers: [32, 16]
Generated Node #0,1,2: 64:[32, 16] Operation: 32-16=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 64:[32, 16], Operations: ['97-65=32', '32-16=16']
Exploring Operation: 32+16=48, Resulting Numbers: [48]
48,64 unequal: No Solution
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,64 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:[32, 2], Operations: ['97-65=32', '32/16=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,64 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[16, 32, 97, 65], Operations: []
Exploring Operation: 97-65=32, Resulting Numbers: [16, 32, 32]
Generated Node #0,1: 64:[16, 32, 32] Operation: 97-65=32
Moving to Node #0,1
Current State: 64:[16, 32, 32], Operations: ['97-65=32']
Exploring Operation: 32/16=2, Resulting Numbers: [32, 2]
Generated Node #0,1,1: 64:[32, 2] Operation: 32/16=2
Moving to Node #0,1,1
Current State: 64:[32, 2], Operations: ['97-65=32', '32/16=2']
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
37,
2,
15,
60
] | 39 | [
"37-2=35",
"60/15=4",
"35+4=39"
] | Current State: 39:[37, 2, 15, 60], Operations: []
Exploring Operation: 37-2=35, Resulting Numbers: [15, 60, 35]
Generated Node #2: [15, 60, 35] from Operation: 37-2=35
Current State: 39:[15, 60, 35], Operations: ['37-2=35']
Exploring Operation: 60/15=4, Resulting Numbers: [35, 4]
Generated Node #3: [35, 4] from Operation: 60/15=4
Current State: 39:[35, 4], Operations: ['37-2=35', '60/15=4']
Exploring Operation: 35+4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[37, 2, 15, 60], Operations: []
Exploring Operation: 60-15=45, Resulting Numbers: [37, 2, 45]
Generated Node #0,0: 39:[37, 2, 45] Operation: 60-15=45
Exploring Operation: 60/15=4, Resulting Numbers: [37, 2, 4]
Generated Node #0,1: 39:[37, 2, 4] Operation: 60/15=4
Exploring Operation: 60-37=23, Resulting Numbers: [2, 15, 23]
Generated Node #0,2: 39:[2, 15, 23] Operation: 60-37=23
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[37, 2, 4], Operations: ['60/15=4']
Exploring Operation: 4-2=2, Resulting Numbers: [37, 2]
Generated Node #0,1,0: 39:[37, 2] Operation: 4-2=2
Exploring Operation: 37+4=41, Resulting Numbers: [2, 41]
Generated Node #0,1,1: 39:[2, 41] Operation: 37+4=41
Exploring Operation: 37+2=39, Resulting Numbers: [4, 39]
Generated Node #0,1,2: 39:[4, 39] Operation: 37+2=39
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 39:[4, 39], Operations: ['60/15=4', '37+2=39']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,39 unequal: No Solution
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,39 unequal: No Solution
Exploring Operation: 4*39=156, Resulting Numbers: [156]
156,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 39:[37, 2], Operations: ['60/15=4', '4-2=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[37, 2, 15, 60], Operations: []
Exploring Operation: 60/15=4, Resulting Numbers: [37, 2, 4]
Generated Node #0,1: 39:[37, 2, 4] Operation: 60/15=4
Moving to Node #0,1
Current State: 39:[37, 2, 4], Operations: ['60/15=4']
Exploring Operation: 4-2=2, Resulting Numbers: [37, 2]
Generated Node #0,1,0: 39:[37, 2] Operation: 4-2=2
Moving to Node #0,1,0
Current State: 39:[37, 2], Operations: ['60/15=4', '4-2=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
77,
5,
2,
32
] | 20 | [
"77-5=72",
"72-32=40",
"40/2=20"
] | Current State: 20:[77, 5, 2, 32], Operations: []
Exploring Operation: 77-5=72, Resulting Numbers: [2, 32, 72]
Generated Node #2: [2, 32, 72] from Operation: 77-5=72
Current State: 20:[2, 32, 72], Operations: ['77-5=72']
Exploring Operation: 72-32=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 72-32=40
Current State: 20:[2, 40], Operations: ['77-5=72', '72-32=40']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[77, 5, 2, 32], Operations: []
Exploring Operation: 77-5=72, Resulting Numbers: [2, 32, 72]
Generated Node #0,0: 20:[2, 32, 72] Operation: 77-5=72
Exploring Operation: 77-32=45, Resulting Numbers: [5, 2, 45]
Generated Node #0,1: 20:[5, 2, 45] Operation: 77-32=45
Exploring Operation: 32/2=16, Resulting Numbers: [77, 5, 16]
Generated Node #0,2: 20:[77, 5, 16] Operation: 32/2=16
Moving to Node #0,1
Current State: 20:[5, 2, 45], Operations: ['77-32=45']
Exploring Operation: 45/5=9, Resulting Numbers: [2, 9]
Generated Node #0,1,0: 20:[2, 9] Operation: 45/5=9
Exploring Operation: 45-2=43, Resulting Numbers: [5, 43]
Generated Node #0,1,1: 20:[5, 43] Operation: 45-2=43
Exploring Operation: 45-5=40, Resulting Numbers: [2, 40]
Generated Node #0,1,2: 20:[2, 40] Operation: 45-5=40
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 20:[2, 9], Operations: ['77-32=45', '45/5=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,20 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,20 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 20:[2, 40], Operations: ['77-32=45', '45-5=40']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[77, 5, 2, 32], Operations: []
Exploring Operation: 77-32=45, Resulting Numbers: [5, 2, 45]
Generated Node #0,1: 20:[5, 2, 45] Operation: 77-32=45
Moving to Node #0,1
Current State: 20:[5, 2, 45], Operations: ['77-32=45']
Exploring Operation: 45-5=40, Resulting Numbers: [2, 40]
Generated Node #0,1,2: 20:[2, 40] Operation: 45-5=40
Moving to Node #0,1,2
Current State: 20:[2, 40], Operations: ['77-32=45', '45-5=40']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
81,
34,
20,
56
] | 83 | [
"81-34=47",
"56-20=36",
"47+36=83"
] | Current State: 83:[81, 34, 20, 56], Operations: []
Exploring Operation: 81-34=47, Resulting Numbers: [20, 56, 47]
Generated Node #2: [20, 56, 47] from Operation: 81-34=47
Current State: 83:[20, 56, 47], Operations: ['81-34=47']
Exploring Operation: 56-20=36, Resulting Numbers: [47, 36]
Generated Node #3: [47, 36] from Operation: 56-20=36
Current State: 83:[47, 36], Operations: ['81-34=47', '56-20=36']
Exploring Operation: 47+36=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[81, 34, 20, 56], Operations: []
Exploring Operation: 81+20=101, Resulting Numbers: [34, 56, 101]
Generated Node #0,0: 83:[34, 56, 101] Operation: 81+20=101
Exploring Operation: 34+56=90, Resulting Numbers: [81, 20, 90]
Generated Node #0,1: 83:[81, 20, 90] Operation: 34+56=90
Exploring Operation: 20+56=76, Resulting Numbers: [81, 34, 76]
Generated Node #0,2: 83:[81, 34, 76] Operation: 20+56=76
Exploring Operation: 34+20=54, Resulting Numbers: [81, 56, 54]
Generated Node #0,3: 83:[81, 56, 54] Operation: 34+20=54
Exploring Operation: 81-20=61, Resulting Numbers: [34, 56, 61]
Generated Node #0,4: 83:[34, 56, 61] Operation: 81-20=61
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[81, 34, 76], Operations: ['20+56=76']
Exploring Operation: 81+34=115, Resulting Numbers: [76, 115]
Generated Node #0,2,0: 83:[76, 115] Operation: 81+34=115
Exploring Operation: 34+76=110, Resulting Numbers: [81, 110]
Generated Node #0,2,1: 83:[81, 110] Operation: 34+76=110
Exploring Operation: 81+76=157, Resulting Numbers: [34, 157]
Generated Node #0,2,2: 83:[34, 157] Operation: 81+76=157
Exploring Operation: 81-34=47, Resulting Numbers: [76, 47]
Generated Node #0,2,3: 83:[76, 47] Operation: 81-34=47
Exploring Operation: 76-34=42, Resulting Numbers: [81, 42]
Generated Node #0,2,4: 83:[81, 42] Operation: 76-34=42
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 83:[81, 110], Operations: ['20+56=76', '34+76=110']
Exploring Operation: 81*110=8910, Resulting Numbers: [8910]
8910,83 unequal: No Solution
Exploring Operation: 81+110=191, Resulting Numbers: [191]
191,83 unequal: No Solution
Exploring Operation: 110-81=29, Resulting Numbers: [29]
29,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 83:[76, 115], Operations: ['20+56=76', '81+34=115']
Exploring Operation: 76+115=191, Resulting Numbers: [191]
191,83 unequal: No Solution
Exploring Operation: 115-76=39, Resulting Numbers: [39]
39,83 unequal: No Solution
Exploring Operation: 76*115=8740, Resulting Numbers: [8740]
8740,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 83:[76, 47], Operations: ['20+56=76', '81-34=47']
Exploring Operation: 76+47=123, Resulting Numbers: [123]
123,83 unequal: No Solution
Exploring Operation: 76*47=3572, Resulting Numbers: [3572]
3572,83 unequal: No Solution
Exploring Operation: 76-47=29, Resulting Numbers: [29]
29,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 83:[81, 42], Operations: ['20+56=76', '76-34=42']
Exploring Operation: 81+42=123, Resulting Numbers: [123]
123,83 unequal: No Solution
Exploring Operation: 81*42=3402, Resulting Numbers: [3402]
3402,83 unequal: No Solution
Exploring Operation: 81-42=39, Resulting Numbers: [39]
39,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 83:[34, 157], Operations: ['20+56=76', '81+76=157']
Exploring Operation: 34+157=191, Resulting Numbers: [191]
191,83 unequal: No Solution
Exploring Operation: 34*157=5338, Resulting Numbers: [5338]
5338,83 unequal: No Solution
Exploring Operation: 157-34=123, Resulting Numbers: [123]
123,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[81, 56, 54], Operations: ['34+20=54']
Exploring Operation: 56-54=2, Resulting Numbers: [81, 2]
Generated Node #0,3,0: 83:[81, 2] Operation: 56-54=2
Exploring Operation: 81-54=27, Resulting Numbers: [56, 27]
Generated Node #0,3,1: 83:[56, 27] Operation: 81-54=27
Exploring Operation: 81+56=137, Resulting Numbers: [54, 137]
Generated Node #0,3,2: 83:[54, 137] Operation: 81+56=137
Exploring Operation: 81+54=135, Resulting Numbers: [56, 135]
Generated Node #0,3,3: 83:[56, 135] Operation: 81+54=135
Exploring Operation: 56+54=110, Resulting Numbers: [81, 110]
Generated Node #0,3,4: 83:[81, 110] Operation: 56+54=110
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 83:[81, 110], Operations: ['34+20=54', '56+54=110']
Exploring Operation: 110-81=29, Resulting Numbers: [29]
29,83 unequal: No Solution
Exploring Operation: 81*110=8910, Resulting Numbers: [8910]
8910,83 unequal: No Solution
Exploring Operation: 81+110=191, Resulting Numbers: [191]
191,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 83:[56, 135], Operations: ['34+20=54', '81+54=135']
Exploring Operation: 135-56=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 56+135=191, Resulting Numbers: [191]
191,83 unequal: No Solution
Exploring Operation: 56*135=7560, Resulting Numbers: [7560]
7560,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 83:[81, 2], Operations: ['34+20=54', '56-54=2']
Exploring Operation: 81*2=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[81, 34, 20, 56], Operations: []
Exploring Operation: 34+20=54, Resulting Numbers: [81, 56, 54]
Generated Node #0,3: 83:[81, 56, 54] Operation: 34+20=54
Moving to Node #0,3
Current State: 83:[81, 56, 54], Operations: ['34+20=54']
Exploring Operation: 56-54=2, Resulting Numbers: [81, 2]
Generated Node #0,3,0: 83:[81, 2] Operation: 56-54=2
Moving to Node #0,3,0
Current State: 83:[81, 2], Operations: ['34+20=54', '56-54=2']
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.963542 | hs_5 | mult_heuristic |
[
47,
13,
92,
83
] | 82 | [
"47+83=130",
"130/13=10",
"92-10=82"
] | Current State: 82:[47, 13, 92, 83], Operations: []
Exploring Operation: 47+83=130, Resulting Numbers: [13, 92, 130]
Generated Node #2: [13, 92, 130] from Operation: 47+83=130
Current State: 82:[13, 92, 130], Operations: ['47+83=130']
Exploring Operation: 130/13=10, Resulting Numbers: [92, 10]
Generated Node #3: [92, 10] from Operation: 130/13=10
Current State: 82:[92, 10], Operations: ['47+83=130', '130/13=10']
Exploring Operation: 92-10=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[47, 13, 92, 83], Operations: []
Exploring Operation: 92-83=9, Resulting Numbers: [47, 13, 9]
Generated Node #0,0: 82:[47, 13, 9] Operation: 92-83=9
Exploring Operation: 92-47=45, Resulting Numbers: [13, 83, 45]
Generated Node #0,1: 82:[13, 83, 45] Operation: 92-47=45
Exploring Operation: 47-13=34, Resulting Numbers: [92, 83, 34]
Generated Node #0,2: 82:[92, 83, 34] Operation: 47-13=34
Exploring Operation: 92-13=79, Resulting Numbers: [47, 83, 79]
Generated Node #0,3: 82:[47, 83, 79] Operation: 92-13=79
Start Sub Search at level 1: Moving to Node #0,3
Current State: 82:[47, 83, 79], Operations: ['92-13=79']
Exploring Operation: 47+79=126, Resulting Numbers: [83, 126]
Generated Node #0,3,0: 82:[83, 126] Operation: 47+79=126
Exploring Operation: 79-47=32, Resulting Numbers: [83, 32]
Generated Node #0,3,1: 82:[83, 32] Operation: 79-47=32
Exploring Operation: 83-47=36, Resulting Numbers: [79, 36]
Generated Node #0,3,2: 82:[79, 36] Operation: 83-47=36
Exploring Operation: 83-79=4, Resulting Numbers: [47, 4]
Generated Node #0,3,3: 82:[47, 4] Operation: 83-79=4
Moving to Node #0,3,2
Current State: 82:[79, 36], Operations: ['92-13=79', '83-47=36']
Exploring Operation: 79*36=2844, Resulting Numbers: [2844]
2844,82 unequal: No Solution
Exploring Operation: 79-36=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Exploring Operation: 79+36=115, Resulting Numbers: [115]
115,82 unequal: No Solution
Moving to Node #0,3,3
Current State: 82:[47, 4], Operations: ['92-13=79', '83-79=4']
Exploring Operation: 47+4=51, Resulting Numbers: [51]
51,82 unequal: No Solution
Exploring Operation: 47*4=188, Resulting Numbers: [188]
188,82 unequal: No Solution
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Moving to Node #0,3,1
Current State: 82:[83, 32], Operations: ['92-13=79', '79-47=32']
Exploring Operation: 83-32=51, Resulting Numbers: [51]
51,82 unequal: No Solution
Exploring Operation: 83+32=115, Resulting Numbers: [115]
115,82 unequal: No Solution
Exploring Operation: 83*32=2656, Resulting Numbers: [2656]
2656,82 unequal: No Solution
Moving to Node #0,3,0
Current State: 82:[83, 126], Operations: ['92-13=79', '47+79=126']
Exploring Operation: 83+126=209, Resulting Numbers: [209]
209,82 unequal: No Solution
Exploring Operation: 83*126=10458, Resulting Numbers: [10458]
10458,82 unequal: No Solution
Exploring Operation: 126-83=43, Resulting Numbers: [43]
43,82 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 #0,1
Current State: 82:[13, 83, 45], Operations: ['92-47=45']
Exploring Operation: 83-13=70, Resulting Numbers: [45, 70]
Generated Node #0,1,0: 82:[45, 70] Operation: 83-13=70
Exploring Operation: 83-45=38, Resulting Numbers: [13, 38]
Generated Node #0,1,1: 82:[13, 38] Operation: 83-45=38
Exploring Operation: 13+83=96, Resulting Numbers: [45, 96]
Generated Node #0,1,2: 82:[45, 96] Operation: 13+83=96
Exploring Operation: 45-13=32, Resulting Numbers: [83, 32]
Generated Node #0,1,3: 82:[83, 32] Operation: 45-13=32
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 82:[83, 32], Operations: ['92-47=45', '45-13=32']
Exploring Operation: 83-32=51, Resulting Numbers: [51]
51,82 unequal: No Solution
Exploring Operation: 83+32=115, Resulting Numbers: [115]
115,82 unequal: No Solution
Exploring Operation: 83*32=2656, Resulting Numbers: [2656]
2656,82 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 #0,1,1
Current State: 82:[13, 38], Operations: ['92-47=45', '83-45=38']
Exploring Operation: 13*38=494, Resulting Numbers: [494]
494,82 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,82 unequal: No Solution
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,82 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 #0,1,0
Current State: 82:[45, 70], Operations: ['92-47=45', '83-13=70']
Exploring Operation: 45+70=115, Resulting Numbers: [115]
115,82 unequal: No Solution
Exploring Operation: 45*70=3150, Resulting Numbers: [3150]
3150,82 unequal: No Solution
Exploring Operation: 70-45=25, Resulting Numbers: [25]
25,82 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 #0,1,2
Current State: 82:[45, 96], Operations: ['92-47=45', '13+83=96']
Exploring Operation: 45*96=4320, Resulting Numbers: [4320]
4320,82 unequal: No Solution
Exploring Operation: 96-45=51, Resulting Numbers: [51]
51,82 unequal: No Solution
Exploring Operation: 45+96=141, Resulting Numbers: [141]
141,82 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 #0,2
Current State: 82:[92, 83, 34], Operations: ['47-13=34']
Exploring Operation: 92-34=58, Resulting Numbers: [83, 58]
Generated Node #0,2,0: 82:[83, 58] Operation: 92-34=58
Exploring Operation: 92+34=126, Resulting Numbers: [83, 126]
Generated Node #0,2,1: 82:[83, 126] Operation: 92+34=126
Exploring Operation: 92-83=9, Resulting Numbers: [34, 9]
Generated Node #0,2,2: 82:[34, 9] Operation: 92-83=9
Exploring Operation: 83-34=49, Resulting Numbers: [92, 49]
Generated Node #0,2,3: 82:[92, 49] Operation: 83-34=49
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 82:[34, 9], Operations: ['47-13=34', '92-83=9']
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,82 unequal: No Solution
Exploring Operation: 34*9=306, Resulting Numbers: [306]
306,82 unequal: No Solution
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,82 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:[83, 58], Operations: ['47-13=34', '92-34=58']
Exploring Operation: 83*58=4814, Resulting Numbers: [4814]
4814,82 unequal: No Solution
Exploring Operation: 83-58=25, Resulting Numbers: [25]
25,82 unequal: No Solution
Exploring Operation: 83+58=141, Resulting Numbers: [141]
141,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 82:[92, 49], Operations: ['47-13=34', '83-34=49']
Exploring Operation: 92-49=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Exploring Operation: 92+49=141, Resulting Numbers: [141]
141,82 unequal: No Solution
Exploring Operation: 92*49=4508, Resulting Numbers: [4508]
4508,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 82:[83, 126], Operations: ['47-13=34', '92+34=126']
Exploring Operation: 83*126=10458, Resulting Numbers: [10458]
10458,82 unequal: No Solution
Exploring Operation: 126-83=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Exploring Operation: 83+126=209, Resulting Numbers: [209]
209,82 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 #0,0
Current State: 82:[47, 13, 9], Operations: ['92-83=9']
Exploring Operation: 13+9=22, Resulting Numbers: [47, 22]
Generated Node #0,0,0: 82:[47, 22] Operation: 13+9=22
Exploring Operation: 47-13=34, Resulting Numbers: [9, 34]
Generated Node #0,0,1: 82:[9, 34] Operation: 47-13=34
Exploring Operation: 13-9=4, Resulting Numbers: [47, 4]
Generated Node #0,0,2: 82:[47, 4] Operation: 13-9=4
Exploring Operation: 47-9=38, Resulting Numbers: [13, 38]
Generated Node #0,0,3: 82:[13, 38] Operation: 47-9=38
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 82:[47, 4], Operations: ['92-83=9', '13-9=4']
Exploring Operation: 47+4=51, Resulting Numbers: [51]
51,82 unequal: No Solution
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Exploring Operation: 47*4=188, Resulting Numbers: [188]
188,82 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 #0,0,1
Current State: 82:[9, 34], Operations: ['92-83=9', '47-13=34']
Exploring Operation: 9*34=306, Resulting Numbers: [306]
306,82 unequal: No Solution
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,82 unequal: No Solution
Exploring Operation: 9+34=43, Resulting Numbers: [43]
43,82 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 #0,0,3
Current State: 82:[13, 38], Operations: ['92-83=9', '47-9=38']
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,82 unequal: No Solution
Exploring Operation: 13*38=494, Resulting Numbers: [494]
494,82 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,82 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 #0,0,0
Current State: 82:[47, 22], Operations: ['92-83=9', '13+9=22']
Exploring Operation: 47-22=25, Resulting Numbers: [25]
25,82 unequal: No Solution
Exploring Operation: 47*22=1034, Resulting Numbers: [1034]
1034,82 unequal: No Solution
Exploring Operation: 47+22=69, Resulting Numbers: [69]
69,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
61,
26,
7,
42
] | 29 | [
"61-26=35",
"42/7=6",
"35-6=29"
] | Current State: 29:[61, 26, 7, 42], Operations: []
Exploring Operation: 61-26=35, Resulting Numbers: [7, 42, 35]
Generated Node #2: [7, 42, 35] from Operation: 61-26=35
Current State: 29:[7, 42, 35], Operations: ['61-26=35']
Exploring Operation: 42/7=6, Resulting Numbers: [35, 6]
Generated Node #3: [35, 6] from Operation: 42/7=6
Current State: 29:[35, 6], Operations: ['61-26=35', '42/7=6']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[61, 26, 7, 42], Operations: []
Exploring Operation: 42-7=35, Resulting Numbers: [61, 26, 35]
Generated Node #0,0: 29:[61, 26, 35] Operation: 42-7=35
Exploring Operation: 26+7=33, Resulting Numbers: [61, 42, 33]
Generated Node #0,1: 29:[61, 42, 33] Operation: 26+7=33
Exploring Operation: 61-7=54, Resulting Numbers: [26, 42, 54]
Generated Node #0,2: 29:[26, 42, 54] Operation: 61-7=54
Exploring Operation: 61-42=19, Resulting Numbers: [26, 7, 19]
Generated Node #0,3: 29:[26, 7, 19] Operation: 61-42=19
Exploring Operation: 61-26=35, Resulting Numbers: [7, 42, 35]
Generated Node #0,4: 29:[7, 42, 35] Operation: 61-26=35
Moving to Node #0,3
Current State: 29:[26, 7, 19], Operations: ['61-42=19']
Exploring Operation: 26+19=45, Resulting Numbers: [7, 45]
Generated Node #0,3,0: 29:[7, 45] Operation: 26+19=45
Exploring Operation: 7+19=26, Resulting Numbers: [26, 26]
Generated Node #0,3,1: 29:[26, 26] Operation: 7+19=26
Exploring Operation: 19-7=12, Resulting Numbers: [26, 12]
Generated Node #0,3,2: 29:[26, 12] Operation: 19-7=12
Exploring Operation: 26-7=19, Resulting Numbers: [19, 19]
Generated Node #0,3,3: 29:[19, 19] Operation: 26-7=19
Exploring Operation: 26+7=33, Resulting Numbers: [19, 33]
Generated Node #0,3,4: 29:[19, 33] Operation: 26+7=33
Moving to Node #0,2
Current State: 29:[26, 42, 54], Operations: ['61-7=54']
Exploring Operation: 26+42=68, Resulting Numbers: [54, 68]
Generated Node #0,2,0: 29:[54, 68] Operation: 26+42=68
Exploring Operation: 54-26=28, Resulting Numbers: [42, 28]
Generated Node #0,2,1: 29:[42, 28] Operation: 54-26=28
Exploring Operation: 26+54=80, Resulting Numbers: [42, 80]
Generated Node #0,2,2: 29:[42, 80] Operation: 26+54=80
Exploring Operation: 42-26=16, Resulting Numbers: [54, 16]
Generated Node #0,2,3: 29:[54, 16] Operation: 42-26=16
Exploring Operation: 54-42=12, Resulting Numbers: [26, 12]
Generated Node #0,2,4: 29:[26, 12] Operation: 54-42=12
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 29:[42, 28], Operations: ['61-7=54', '54-26=28']
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,29 unequal: No Solution
Exploring Operation: 42*28=1176, Resulting Numbers: [1176]
1176,29 unequal: No Solution
Exploring Operation: 42+28=70, Resulting Numbers: [70]
70,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 29:[26, 12], Operations: ['61-7=54', '54-42=12']
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,29 unequal: No Solution
Exploring Operation: 26+12=38, Resulting Numbers: [38]
38,29 unequal: No Solution
Exploring Operation: 26*12=312, Resulting Numbers: [312]
312,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 29:[54, 16], Operations: ['61-7=54', '42-26=16']
Exploring Operation: 54-16=38, Resulting Numbers: [38]
38,29 unequal: No Solution
Exploring Operation: 54+16=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 54*16=864, Resulting Numbers: [864]
864,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 29:[54, 68], Operations: ['61-7=54', '26+42=68']
Exploring Operation: 54+68=122, Resulting Numbers: [122]
122,29 unequal: No Solution
Exploring Operation: 54*68=3672, Resulting Numbers: [3672]
3672,29 unequal: No Solution
Exploring Operation: 68-54=14, Resulting Numbers: [14]
14,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 29:[42, 80], Operations: ['61-7=54', '26+54=80']
Exploring Operation: 42+80=122, Resulting Numbers: [122]
122,29 unequal: No Solution
Exploring Operation: 42*80=3360, Resulting Numbers: [3360]
3360,29 unequal: No Solution
Exploring Operation: 80-42=38, Resulting Numbers: [38]
38,29 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: 29:[61, 26, 35], Operations: ['42-7=35']
Exploring Operation: 61-26=35, Resulting Numbers: [35, 35]
Generated Node #0,0,0: 29:[35, 35] Operation: 61-26=35
Exploring Operation: 26+35=61, Resulting Numbers: [61, 61]
Generated Node #0,0,1: 29:[61, 61] Operation: 26+35=61
Exploring Operation: 35-26=9, Resulting Numbers: [61, 9]
Generated Node #0,0,2: 29:[61, 9] Operation: 35-26=9
Exploring Operation: 61+26=87, Resulting Numbers: [35, 87]
Generated Node #0,0,3: 29:[35, 87] Operation: 61+26=87
Exploring Operation: 61-35=26, Resulting Numbers: [26, 26]
Generated Node #0,0,4: 29:[26, 26] Operation: 61-35=26
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 29:[26, 26], Operations: ['42-7=35', '61-35=26']
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,29 unequal: No Solution
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[35, 35], Operations: ['42-7=35', '61-26=35']
Exploring Operation: 35+35=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 35-35=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Exploring Operation: 35/35=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 35*35=1225, Resulting Numbers: [1225]
1225,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 29:[61, 9], Operations: ['42-7=35', '35-26=9']
Exploring Operation: 61+9=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,29 unequal: No Solution
Exploring Operation: 61*9=549, Resulting Numbers: [549]
549,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 29:[61, 61], Operations: ['42-7=35', '26+35=61']
Exploring Operation: 61/61=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 61*61=3721, Resulting Numbers: [3721]
3721,29 unequal: No Solution
Exploring Operation: 61-61=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Exploring Operation: 61+61=122, Resulting Numbers: [122]
122,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 29:[35, 87], Operations: ['42-7=35', '61+26=87']
Exploring Operation: 35*87=3045, Resulting Numbers: [3045]
3045,29 unequal: No Solution
Exploring Operation: 35+87=122, Resulting Numbers: [122]
122,29 unequal: No Solution
Exploring Operation: 87-35=52, Resulting Numbers: [52]
52,29 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: 29:[7, 42, 35], Operations: ['61-26=35']
Exploring Operation: 42/7=6, Resulting Numbers: [35, 6]
Generated Node #0,4,0: 29:[35, 6] Operation: 42/7=6
Exploring Operation: 7+35=42, Resulting Numbers: [42, 42]
Generated Node #0,4,1: 29:[42, 42] Operation: 7+35=42
Exploring Operation: 42-7=35, Resulting Numbers: [35, 35]
Generated Node #0,4,2: 29:[35, 35] Operation: 42-7=35
Exploring Operation: 7+42=49, Resulting Numbers: [35, 49]
Generated Node #0,4,3: 29:[35, 49] Operation: 7+42=49
Exploring Operation: 35-7=28, Resulting Numbers: [42, 28]
Generated Node #0,4,4: 29:[42, 28] Operation: 35-7=28
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 29:[35, 35], Operations: ['61-26=35', '42-7=35']
Exploring Operation: 35+35=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 35/35=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 35*35=1225, Resulting Numbers: [1225]
1225,29 unequal: No Solution
Exploring Operation: 35-35=0, Resulting Numbers: [0]
0,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 29:[42, 28], Operations: ['61-26=35', '35-7=28']
Exploring Operation: 42+28=70, Resulting Numbers: [70]
70,29 unequal: No Solution
Exploring Operation: 42*28=1176, Resulting Numbers: [1176]
1176,29 unequal: No Solution
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 29:[42, 42], Operations: ['61-26=35', '7+35=42']
Exploring Operation: 42-42=0, Resulting Numbers: [0]
0,29 unequal: No Solution
Exploring Operation: 42/42=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 42*42=1764, Resulting Numbers: [1764]
1764,29 unequal: No Solution
Exploring Operation: 42+42=84, Resulting Numbers: [84]
84,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 29:[35, 49], Operations: ['61-26=35', '7+42=49']
Exploring Operation: 35+49=84, Resulting Numbers: [84]
84,29 unequal: No Solution
Exploring Operation: 35*49=1715, Resulting Numbers: [1715]
1715,29 unequal: No Solution
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 29:[35, 6], Operations: ['61-26=35', '42/7=6']
Exploring Operation: 35*6=210, Resulting Numbers: [210]
210,29 unequal: No Solution
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,29 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[61, 26, 7, 42], Operations: []
Exploring Operation: 61-26=35, Resulting Numbers: [7, 42, 35]
Generated Node #0,4: 29:[7, 42, 35] Operation: 61-26=35
Moving to Node #0,4
Current State: 29:[7, 42, 35], Operations: ['61-26=35']
Exploring Operation: 42/7=6, Resulting Numbers: [35, 6]
Generated Node #0,4,0: 29:[35, 6] Operation: 42/7=6
Moving to Node #0,4,0
Current State: 29:[35, 6], Operations: ['61-26=35', '42/7=6']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.931424 | hs_5 | sum_heuristic |
[
85,
28,
3,
76
] | 59 | [
"76-28=48",
"3*48=144",
"144-85=59"
] | Current State: 59:[85, 28, 3, 76], Operations: []
Exploring Operation: 76-28=48, Resulting Numbers: [85, 3, 48]
Generated Node #2: [85, 3, 48] from Operation: 76-28=48
Current State: 59:[85, 3, 48], Operations: ['76-28=48']
Exploring Operation: 3*48=144, Resulting Numbers: [85, 144]
Generated Node #3: [85, 144] from Operation: 3*48=144
Current State: 59:[85, 144], Operations: ['76-28=48', '3*48=144']
Exploring Operation: 144-85=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[85, 28, 3, 76], Operations: []
Exploring Operation: 28*3=84, Resulting Numbers: [85, 76, 84]
Generated Node #0,0: 59:[85, 76, 84] Operation: 28*3=84
Exploring Operation: 28+3=31, Resulting Numbers: [85, 76, 31]
Generated Node #0,1: 59:[85, 76, 31] Operation: 28+3=31
Exploring Operation: 85-3=82, Resulting Numbers: [28, 76, 82]
Generated Node #0,2: 59:[28, 76, 82] Operation: 85-3=82
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[85, 76, 84], Operations: ['28*3=84']
Exploring Operation: 84-76=8, Resulting Numbers: [85, 8]
Generated Node #0,0,0: 59:[85, 8] Operation: 84-76=8
Exploring Operation: 85-84=1, Resulting Numbers: [76, 1]
Generated Node #0,0,1: 59:[76, 1] Operation: 85-84=1
Exploring Operation: 85-76=9, Resulting Numbers: [84, 9]
Generated Node #0,0,2: 59:[84, 9] Operation: 85-76=9
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 59:[76, 1], Operations: ['28*3=84', '85-84=1']
Exploring Operation: 76*1=76, Resulting Numbers: [76]
76,59 unequal: No Solution
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,59 unequal: No Solution
Exploring Operation: 76/1=76, Resulting Numbers: [76]
76,59 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 #0,0,2
Current State: 59:[84, 9], Operations: ['28*3=84', '85-76=9']
Exploring Operation: 84-9=75, Resulting Numbers: [75]
75,59 unequal: No Solution
Exploring Operation: 84*9=756, Resulting Numbers: [756]
756,59 unequal: No Solution
Exploring Operation: 84+9=93, Resulting Numbers: [93]
93,59 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 #0,0,0
Current State: 59:[85, 8], Operations: ['28*3=84', '84-76=8']
Exploring Operation: 85+8=93, Resulting Numbers: [93]
93,59 unequal: No Solution
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,59 unequal: No Solution
Exploring Operation: 85*8=680, Resulting Numbers: [680]
680,59 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 #0,1
Current State: 59:[85, 76, 31], Operations: ['28+3=31']
Exploring Operation: 85+31=116, Resulting Numbers: [76, 116]
Generated Node #0,1,0: 59:[76, 116] Operation: 85+31=116
Exploring Operation: 85-31=54, Resulting Numbers: [76, 54]
Generated Node #0,1,1: 59:[76, 54] Operation: 85-31=54
Exploring Operation: 76-31=45, Resulting Numbers: [85, 45]
Generated Node #0,1,2: 59:[85, 45] Operation: 76-31=45
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 59:[76, 54], Operations: ['28+3=31', '85-31=54']
Exploring Operation: 76*54=4104, Resulting Numbers: [4104]
4104,59 unequal: No Solution
Exploring Operation: 76+54=130, Resulting Numbers: [130]
130,59 unequal: No Solution
Exploring Operation: 76-54=22, Resulting Numbers: [22]
22,59 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:[85, 45], Operations: ['28+3=31', '76-31=45']
Exploring Operation: 85*45=3825, Resulting Numbers: [3825]
3825,59 unequal: No Solution
Exploring Operation: 85+45=130, Resulting Numbers: [130]
130,59 unequal: No Solution
Exploring Operation: 85-45=40, Resulting Numbers: [40]
40,59 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:[76, 116], Operations: ['28+3=31', '85+31=116']
Exploring Operation: 76*116=8816, Resulting Numbers: [8816]
8816,59 unequal: No Solution
Exploring Operation: 76+116=192, Resulting Numbers: [192]
192,59 unequal: No Solution
Exploring Operation: 116-76=40, Resulting Numbers: [40]
40,59 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 #0,2
Current State: 59:[28, 76, 82], Operations: ['85-3=82']
Exploring Operation: 28+76=104, Resulting Numbers: [82, 104]
Generated Node #0,2,0: 59:[82, 104] Operation: 28+76=104
Exploring Operation: 76-28=48, Resulting Numbers: [82, 48]
Generated Node #0,2,1: 59:[82, 48] Operation: 76-28=48
Exploring Operation: 82-28=54, Resulting Numbers: [76, 54]
Generated Node #0,2,2: 59:[76, 54] Operation: 82-28=54
Moving to Node #0,2,2
Current State: 59:[76, 54], Operations: ['85-3=82', '82-28=54']
Exploring Operation: 76-54=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 76*54=4104, Resulting Numbers: [4104]
4104,59 unequal: No Solution
Exploring Operation: 76+54=130, Resulting Numbers: [130]
130,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[82, 48], Operations: ['85-3=82', '76-28=48']
Exploring Operation: 82*48=3936, Resulting Numbers: [3936]
3936,59 unequal: No Solution
Exploring Operation: 82-48=34, Resulting Numbers: [34]
34,59 unequal: No Solution
Exploring Operation: 82+48=130, Resulting Numbers: [130]
130,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[82, 104], Operations: ['85-3=82', '28+76=104']
Exploring Operation: 104-82=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 82*104=8528, Resulting Numbers: [8528]
8528,59 unequal: No Solution
Exploring Operation: 82+104=186, Resulting Numbers: [186]
186,59 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 |
[
87,
66,
75,
43
] | 53 | [
"87-66=21",
"75-43=32",
"21+32=53"
] | Current State: 53:[87, 66, 75, 43], Operations: []
Exploring Operation: 87-66=21, Resulting Numbers: [75, 43, 21]
Generated Node #2: [75, 43, 21] from Operation: 87-66=21
Current State: 53:[75, 43, 21], Operations: ['87-66=21']
Exploring Operation: 75-43=32, Resulting Numbers: [21, 32]
Generated Node #3: [21, 32] from Operation: 75-43=32
Current State: 53:[21, 32], Operations: ['87-66=21', '75-43=32']
Exploring Operation: 21+32=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[87, 66, 75, 43], Operations: []
Exploring Operation: 87-75=12, Resulting Numbers: [66, 43, 12]
Generated Node #0,0: 53:[66, 43, 12] Operation: 87-75=12
Exploring Operation: 87-66=21, Resulting Numbers: [75, 43, 21]
Generated Node #0,1: 53:[75, 43, 21] Operation: 87-66=21
Exploring Operation: 75-43=32, Resulting Numbers: [87, 66, 32]
Generated Node #0,2: 53:[87, 66, 32] Operation: 75-43=32
Exploring Operation: 87-43=44, Resulting Numbers: [66, 75, 44]
Generated Node #0,3: 53:[66, 75, 44] Operation: 87-43=44
Moving to Node #0,3
Current State: 53:[66, 75, 44], Operations: ['87-43=44']
Exploring Operation: 75-66=9, Resulting Numbers: [44, 9]
Generated Node #0,3,0: 53:[44, 9] Operation: 75-66=9
Exploring Operation: 66+44=110, Resulting Numbers: [75, 110]
Generated Node #0,3,1: 53:[75, 110] Operation: 66+44=110
Exploring Operation: 66-44=22, Resulting Numbers: [75, 22]
Generated Node #0,3,2: 53:[75, 22] Operation: 66-44=22
Exploring Operation: 75-44=31, Resulting Numbers: [66, 31]
Generated Node #0,3,3: 53:[66, 31] Operation: 75-44=31
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 53:[66, 31], Operations: ['87-43=44', '75-44=31']
Exploring Operation: 66+31=97, Resulting Numbers: [97]
97,53 unequal: No Solution
Exploring Operation: 66-31=35, Resulting Numbers: [35]
35,53 unequal: No Solution
Exploring Operation: 66*31=2046, Resulting Numbers: [2046]
2046,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 53:[44, 9], Operations: ['87-43=44', '75-66=9']
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[87, 66, 75, 43], Operations: []
Exploring Operation: 87-43=44, Resulting Numbers: [66, 75, 44]
Generated Node #0,3: 53:[66, 75, 44] Operation: 87-43=44
Moving to Node #0,3
Current State: 53:[66, 75, 44], Operations: ['87-43=44']
Exploring Operation: 75-66=9, Resulting Numbers: [44, 9]
Generated Node #0,3,0: 53:[44, 9] Operation: 75-66=9
Moving to Node #0,3,0
Current State: 53:[44, 9], Operations: ['87-43=44', '75-66=9']
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
26,
32,
66,
68
] | 19 | [
"68-66=2",
"26/2=13",
"32-13=19"
] | Current State: 19:[26, 32, 66, 68], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [26, 32, 2]
Generated Node #2: [26, 32, 2] from Operation: 68-66=2
Current State: 19:[26, 32, 2], Operations: ['68-66=2']
Exploring Operation: 26/2=13, Resulting Numbers: [32, 13]
Generated Node #3: [32, 13] from Operation: 26/2=13
Current State: 19:[32, 13], Operations: ['68-66=2', '26/2=13']
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[26, 32, 66, 68], Operations: []
Exploring Operation: 66-26=40, Resulting Numbers: [32, 68, 40]
Generated Node #0,0: 19:[32, 68, 40] Operation: 66-26=40
Exploring Operation: 68-32=36, Resulting Numbers: [26, 66, 36]
Generated Node #0,1: 19:[26, 66, 36] Operation: 68-32=36
Exploring Operation: 66-32=34, Resulting Numbers: [26, 68, 34]
Generated Node #0,2: 19:[26, 68, 34] Operation: 66-32=34
Exploring Operation: 68-26=42, Resulting Numbers: [32, 66, 42]
Generated Node #0,3: 19:[32, 66, 42] Operation: 68-26=42
Exploring Operation: 68-66=2, Resulting Numbers: [26, 32, 2]
Generated Node #0,4: 19:[26, 32, 2] Operation: 68-66=2
Start Sub Search at level 1: Moving to Node #0,4
Current State: 19:[26, 32, 2], Operations: ['68-66=2']
Exploring Operation: 32/2=16, Resulting Numbers: [26, 16]
Generated Node #0,4,0: 19:[26, 16] Operation: 32/2=16
Exploring Operation: 32-2=30, Resulting Numbers: [26, 30]
Generated Node #0,4,1: 19:[26, 30] Operation: 32-2=30
Exploring Operation: 26/2=13, Resulting Numbers: [32, 13]
Generated Node #0,4,2: 19:[32, 13] Operation: 26/2=13
Exploring Operation: 26+2=28, Resulting Numbers: [32, 28]
Generated Node #0,4,3: 19:[32, 28] Operation: 26+2=28
Exploring Operation: 26-2=24, Resulting Numbers: [32, 24]
Generated Node #0,4,4: 19:[32, 24] Operation: 26-2=24
Moving to Node #0,4,0
Current State: 19:[26, 16], Operations: ['68-66=2', '32/2=16']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 26*16=416, Resulting Numbers: [416]
416,19 unequal: No Solution
Exploring Operation: 26+16=42, Resulting Numbers: [42]
42,19 unequal: No Solution
Moving to Node #0,4,4
Current State: 19:[32, 24], Operations: ['68-66=2', '26-2=24']
Exploring Operation: 32+24=56, Resulting Numbers: [56]
56,19 unequal: No Solution
Exploring Operation: 32*24=768, Resulting Numbers: [768]
768,19 unequal: No Solution
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Moving to Node #0,4,1
Current State: 19:[26, 30], Operations: ['68-66=2', '32-2=30']
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 26*30=780, Resulting Numbers: [780]
780,19 unequal: No Solution
Exploring Operation: 26+30=56, Resulting Numbers: [56]
56,19 unequal: No Solution
Moving to Node #0,4,2
Current State: 19:[32, 13], Operations: ['68-66=2', '26/2=13']
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[26, 32, 66, 68], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [26, 32, 2]
Generated Node #0,4: 19:[26, 32, 2] Operation: 68-66=2
Moving to Node #0,4
Current State: 19:[26, 32, 2], Operations: ['68-66=2']
Exploring Operation: 26/2=13, Resulting Numbers: [32, 13]
Generated Node #0,4,2: 19:[32, 13] Operation: 26/2=13
Moving to Node #0,4,2
Current State: 19:[32, 13], Operations: ['68-66=2', '26/2=13']
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_5 | sum_heuristic |
[
69,
11,
76,
4
] | 56 | [
"69+11=80",
"80/4=20",
"76-20=56"
] | Current State: 56:[69, 11, 76, 4], Operations: []
Exploring Operation: 69+11=80, Resulting Numbers: [76, 4, 80]
Generated Node #2: [76, 4, 80] from Operation: 69+11=80
Current State: 56:[76, 4, 80], Operations: ['69+11=80']
Exploring Operation: 80/4=20, Resulting Numbers: [76, 20]
Generated Node #3: [76, 20] from Operation: 80/4=20
Current State: 56:[76, 20], Operations: ['69+11=80', '80/4=20']
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[69, 11, 76, 4], Operations: []
Exploring Operation: 76-11=65, Resulting Numbers: [69, 4, 65]
Generated Node #0,0: 56:[69, 4, 65] Operation: 76-11=65
Exploring Operation: 69-11=58, Resulting Numbers: [76, 4, 58]
Generated Node #0,1: 56:[76, 4, 58] Operation: 69-11=58
Exploring Operation: 76/4=19, Resulting Numbers: [69, 11, 19]
Generated Node #0,2: 56:[69, 11, 19] Operation: 76/4=19
Exploring Operation: 69-4=65, Resulting Numbers: [11, 76, 65]
Generated Node #0,3: 56:[11, 76, 65] Operation: 69-4=65
Exploring Operation: 76-69=7, Resulting Numbers: [11, 4, 7]
Generated Node #0,4: 56:[11, 4, 7] Operation: 76-69=7
Moving to Node #0,4
Current State: 56:[11, 4, 7], Operations: ['76-69=7']
Exploring Operation: 11+4=15, Resulting Numbers: [7, 15]
Generated Node #0,4,0: 56:[7, 15] Operation: 11+4=15
Exploring Operation: 11-7=4, Resulting Numbers: [4, 4]
Generated Node #0,4,1: 56:[4, 4] Operation: 11-7=4
Exploring Operation: 11+7=18, Resulting Numbers: [4, 18]
Generated Node #0,4,2: 56:[4, 18] Operation: 11+7=18
Exploring Operation: 4*7=28, Resulting Numbers: [11, 28]
Generated Node #0,4,3: 56:[11, 28] Operation: 4*7=28
Exploring Operation: 11-4=7, Resulting Numbers: [7, 7]
Generated Node #0,4,4: 56:[7, 7] Operation: 11-4=7
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 56:[4, 4], Operations: ['76-69=7', '11-7=4']
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,56 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,56 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 #0,4,4
Current State: 56:[7, 7], Operations: ['76-69=7', '11-4=7']
Exploring Operation: 7/7=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 7-7=0, Resulting Numbers: [0]
0,56 unequal: No Solution
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,56 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 #0,4,0
Current State: 56:[7, 15], Operations: ['76-69=7', '11+4=15']
Exploring Operation: 7*15=105, Resulting Numbers: [105]
105,56 unequal: No Solution
Exploring Operation: 7+15=22, Resulting Numbers: [22]
22,56 unequal: No Solution
Exploring Operation: 15-7=8, Resulting Numbers: [8]
8,56 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 #0,4,3
Current State: 56:[11, 28], Operations: ['76-69=7', '4*7=28']
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 11*28=308, Resulting Numbers: [308]
308,56 unequal: No Solution
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,56 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 #0,4,2
Current State: 56:[4, 18], Operations: ['76-69=7', '11+7=18']
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,56 unequal: No Solution
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,56 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,56 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: 56:[69, 11, 19], Operations: ['76/4=19']
Exploring Operation: 19-11=8, Resulting Numbers: [69, 8]
Generated Node #0,2,0: 56:[69, 8] Operation: 19-11=8
Exploring Operation: 11+19=30, Resulting Numbers: [69, 30]
Generated Node #0,2,1: 56:[69, 30] Operation: 11+19=30
Exploring Operation: 69-19=50, Resulting Numbers: [11, 50]
Generated Node #0,2,2: 56:[11, 50] Operation: 69-19=50
Exploring Operation: 69+11=80, Resulting Numbers: [19, 80]
Generated Node #0,2,3: 56:[19, 80] Operation: 69+11=80
Exploring Operation: 69-11=58, Resulting Numbers: [19, 58]
Generated Node #0,2,4: 56:[19, 58] Operation: 69-11=58
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 56:[19, 58], Operations: ['76/4=19', '69-11=58']
Exploring Operation: 19*58=1102, Resulting Numbers: [1102]
1102,56 unequal: No Solution
Exploring Operation: 58-19=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 19+58=77, Resulting Numbers: [77]
77,56 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 #0,2,2
Current State: 56:[11, 50], Operations: ['76/4=19', '69-19=50']
Exploring Operation: 50-11=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 11+50=61, Resulting Numbers: [61]
61,56 unequal: No Solution
Exploring Operation: 11*50=550, Resulting Numbers: [550]
550,56 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 #0,2,0
Current State: 56:[69, 8], Operations: ['76/4=19', '19-11=8']
Exploring Operation: 69+8=77, Resulting Numbers: [77]
77,56 unequal: No Solution
Exploring Operation: 69*8=552, Resulting Numbers: [552]
552,56 unequal: No Solution
Exploring Operation: 69-8=61, Resulting Numbers: [61]
61,56 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 #0,2,1
Current State: 56:[69, 30], Operations: ['76/4=19', '11+19=30']
Exploring Operation: 69+30=99, Resulting Numbers: [99]
99,56 unequal: No Solution
Exploring Operation: 69-30=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 69*30=2070, Resulting Numbers: [2070]
2070,56 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 #0,2,3
Current State: 56:[19, 80], Operations: ['76/4=19', '69+11=80']
Exploring Operation: 19+80=99, Resulting Numbers: [99]
99,56 unequal: No Solution
Exploring Operation: 19*80=1520, Resulting Numbers: [1520]
1520,56 unequal: No Solution
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,56 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: 56:[69, 4, 65], Operations: ['76-11=65']
Exploring Operation: 4+65=69, Resulting Numbers: [69, 69]
Generated Node #0,0,0: 56:[69, 69] Operation: 4+65=69
Exploring Operation: 69-4=65, Resulting Numbers: [65, 65]
Generated Node #0,0,1: 56:[65, 65] Operation: 69-4=65
Exploring Operation: 69-65=4, Resulting Numbers: [4, 4]
Generated Node #0,0,2: 56:[4, 4] Operation: 69-65=4
Exploring Operation: 65-4=61, Resulting Numbers: [69, 61]
Generated Node #0,0,3: 56:[69, 61] Operation: 65-4=61
Exploring Operation: 69+4=73, Resulting Numbers: [65, 73]
Generated Node #0,0,4: 56:[65, 73] Operation: 69+4=73
Moving to Node #0,1
Current State: 56:[76, 4, 58], Operations: ['69-11=58']
Exploring Operation: 76-58=18, Resulting Numbers: [4, 18]
Generated Node #0,1,0: 56:[4, 18] Operation: 76-58=18
Exploring Operation: 76+4=80, Resulting Numbers: [58, 80]
Generated Node #0,1,1: 56:[58, 80] Operation: 76+4=80
Exploring Operation: 58-4=54, Resulting Numbers: [76, 54]
Generated Node #0,1,2: 56:[76, 54] Operation: 58-4=54
Exploring Operation: 76/4=19, Resulting Numbers: [58, 19]
Generated Node #0,1,3: 56:[58, 19] Operation: 76/4=19
Exploring Operation: 76-4=72, Resulting Numbers: [58, 72]
Generated Node #0,1,4: 56:[58, 72] Operation: 76-4=72
Moving to Node #0,3
Current State: 56:[11, 76, 65], Operations: ['69-4=65']
Exploring Operation: 11+76=87, Resulting Numbers: [65, 87]
Generated Node #0,3,0: 56:[65, 87] Operation: 11+76=87
Exploring Operation: 76-65=11, Resulting Numbers: [11, 11]
Generated Node #0,3,1: 56:[11, 11] Operation: 76-65=11
Exploring Operation: 76-11=65, Resulting Numbers: [65, 65]
Generated Node #0,3,2: 56:[65, 65] Operation: 76-11=65
Exploring Operation: 65-11=54, Resulting Numbers: [76, 54]
Generated Node #0,3,3: 56:[76, 54] Operation: 65-11=54
Exploring Operation: 11+65=76, Resulting Numbers: [76, 76]
Generated Node #0,3,4: 56:[76, 76] Operation: 11+65=76
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 56:[11, 11], Operations: ['69-4=65', '76-65=11']
Exploring Operation: 11-11=0, Resulting Numbers: [0]
0,56 unequal: No Solution
Exploring Operation: 11*11=121, Resulting Numbers: [121]
121,56 unequal: No Solution
Exploring Operation: 11/11=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 11+11=22, Resulting Numbers: [22]
22,56 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 #0,3,2
Current State: 56:[65, 65], Operations: ['69-4=65', '76-11=65']
Exploring Operation: 65*65=4225, Resulting Numbers: [4225]
4225,56 unequal: No Solution
Exploring Operation: 65-65=0, Resulting Numbers: [0]
0,56 unequal: No Solution
Exploring Operation: 65/65=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 65+65=130, Resulting Numbers: [130]
130,56 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 #0,3,3
Current State: 56:[76, 54], Operations: ['69-4=65', '65-11=54']
Exploring Operation: 76*54=4104, Resulting Numbers: [4104]
4104,56 unequal: No Solution
Exploring Operation: 76-54=22, Resulting Numbers: [22]
22,56 unequal: No Solution
Exploring Operation: 76+54=130, Resulting Numbers: [130]
130,56 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 #0,3,0
Current State: 56:[65, 87], Operations: ['69-4=65', '11+76=87']
Exploring Operation: 87-65=22, Resulting Numbers: [22]
22,56 unequal: No Solution
Exploring Operation: 65+87=152, Resulting Numbers: [152]
152,56 unequal: No Solution
Exploring Operation: 65*87=5655, Resulting Numbers: [5655]
5655,56 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 #0,3,4
Current State: 56:[76, 76], Operations: ['69-4=65', '11+65=76']
Exploring Operation: 76-76=0, Resulting Numbers: [0]
0,56 unequal: No Solution
Exploring Operation: 76+76=152, Resulting Numbers: [152]
152,56 unequal: No Solution
Exploring Operation: 76/76=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 76*76=5776, Resulting Numbers: [5776]
5776,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 56:[4, 4], Operations: ['76-11=65', '69-65=4']
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,56 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Moving to Node #0,1,0
Current State: 56:[4, 18], Operations: ['69-11=58', '76-58=18']
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,56 unequal: No Solution
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,56 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Moving to Node #0,1,3
Current State: 56:[58, 19], Operations: ['69-11=58', '76/4=19']
Exploring Operation: 58+19=77, Resulting Numbers: [77]
77,56 unequal: No Solution
Exploring Operation: 58-19=39, Resulting Numbers: [39]
39,56 unequal: No Solution
Exploring Operation: 58*19=1102, Resulting Numbers: [1102]
1102,56 unequal: No Solution
Moving to Node #0,0,3
Current State: 56:[69, 61], Operations: ['76-11=65', '65-4=61']
Exploring Operation: 69*61=4209, Resulting Numbers: [4209]
4209,56 unequal: No Solution
Exploring Operation: 69+61=130, Resulting Numbers: [130]
130,56 unequal: No Solution
Exploring Operation: 69-61=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[65, 65], Operations: ['76-11=65', '69-4=65']
Exploring Operation: 65/65=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 65-65=0, Resulting Numbers: [0]
0,56 unequal: No Solution
Exploring Operation: 65+65=130, Resulting Numbers: [130]
130,56 unequal: No Solution
Exploring Operation: 65*65=4225, Resulting Numbers: [4225]
4225,56 unequal: No Solution
Moving to Node #0,1,4
Current State: 56:[58, 72], Operations: ['69-11=58', '76-4=72']
Exploring Operation: 58*72=4176, Resulting Numbers: [4176]
4176,56 unequal: No Solution
Exploring Operation: 58+72=130, Resulting Numbers: [130]
130,56 unequal: No Solution
Exploring Operation: 72-58=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Moving to Node #0,1,2
Current State: 56:[76, 54], Operations: ['69-11=58', '58-4=54']
Exploring Operation: 76*54=4104, Resulting Numbers: [4104]
4104,56 unequal: No Solution
Exploring Operation: 76+54=130, Resulting Numbers: [130]
130,56 unequal: No Solution
Exploring Operation: 76-54=22, Resulting Numbers: [22]
22,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[69, 69], Operations: ['76-11=65', '4+65=69']
Exploring Operation: 69+69=138, Resulting Numbers: [138]
138,56 unequal: No Solution
Exploring Operation: 69-69=0, Resulting Numbers: [0]
0,56 unequal: No Solution
Exploring Operation: 69*69=4761, Resulting Numbers: [4761]
4761,56 unequal: No Solution
Exploring Operation: 69/69=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Moving to Node #0,0,4
Current State: 56:[65, 73], Operations: ['76-11=65', '69+4=73']
Exploring Operation: 65+73=138, Resulting Numbers: [138]
138,56 unequal: No Solution
Exploring Operation: 73-65=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 65*73=4745, Resulting Numbers: [4745]
4745,56 unequal: No Solution
Moving to Node #0,1,1
Current State: 56:[58, 80], Operations: ['69-11=58', '76+4=80']
Exploring Operation: 58+80=138, Resulting Numbers: [138]
138,56 unequal: No Solution
Exploring Operation: 58*80=4640, Resulting Numbers: [4640]
4640,56 unequal: No Solution
Exploring Operation: 80-58=22, Resulting Numbers: [22]
22,56 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
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