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 |
|---|---|---|---|---|---|---|---|---|
[
7,
52,
23,
33
] | 76 | [
"7*23=161",
"52+33=85",
"161-85=76"
] | Current State: 76:[7, 52, 23, 33], Operations: []
Exploring Operation: 7*23=161, Resulting Numbers: [52, 33, 161]
Generated Node #2: [52, 33, 161] from Operation: 7*23=161
Current State: 76:[52, 33, 161], Operations: ['7*23=161']
Exploring Operation: 52+33=85, Resulting Numbers: [161, 85]
Generated Node #3: [161, 85] from Operation: 52+33=85
Current State: 76:[161, 85], Operations: ['7*23=161', '52+33=85']
Exploring Operation: 161-85=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[7, 52, 23, 33], Operations: []
Exploring Operation: 52-33=19, Resulting Numbers: [7, 23, 19]
Generated Node #0,0: 76:[7, 23, 19] Operation: 52-33=19
Exploring Operation: 52+23=75, Resulting Numbers: [7, 33, 75]
Generated Node #0,1: 76:[7, 33, 75] Operation: 52+23=75
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[7, 23, 19], Operations: ['52-33=19']
Exploring Operation: 23-7=16, Resulting Numbers: [19, 16]
Generated Node #0,0,0: 76:[19, 16] Operation: 23-7=16
Exploring Operation: 23-19=4, Resulting Numbers: [7, 4]
Generated Node #0,0,1: 76:[7, 4] Operation: 23-19=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[19, 16], Operations: ['52-33=19', '23-7=16']
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 76:[7, 4], Operations: ['52-33=19', '23-19=4']
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[7, 33, 75], Operations: ['52+23=75']
Exploring Operation: 7+33=40, Resulting Numbers: [75, 40]
Generated Node #0,1,0: 76:[75, 40] Operation: 7+33=40
Exploring Operation: 75-33=42, Resulting Numbers: [7, 42]
Generated Node #0,1,1: 76:[7, 42] Operation: 75-33=42
Moving to Node #0,1,0
Current State: 76:[75, 40], Operations: ['52+23=75', '7+33=40']
Exploring Operation: 75+40=115, Resulting Numbers: [115]
115,76 unequal: No Solution
Exploring Operation: 75-40=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[7, 42], Operations: ['52+23=75', '75-33=42']
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
83,
17,
2,
13
] | 68 | [
"17+13=30",
"30/2=15",
"83-15=68"
] | Current State: 68:[83, 17, 2, 13], Operations: []
Exploring Operation: 17+13=30, Resulting Numbers: [83, 2, 30]
Generated Node #2: [83, 2, 30] from Operation: 17+13=30
Current State: 68:[83, 2, 30], Operations: ['17+13=30']
Exploring Operation: 30/2=15, Resulting Numbers: [83, 15]
Generated Node #3: [83, 15] from Operation: 30/2=15
Current State: 68:[83, 15], Operations: ['17+13=30', '30/2=15']
Exploring Operation: 83-15=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[83, 17, 2, 13], Operations: []
Exploring Operation: 83-13=70, Resulting Numbers: [17, 2, 70]
Generated Node #0,0: 68:[17, 2, 70] Operation: 83-13=70
Moving to Node #0,0
Current State: 68:[17, 2, 70], Operations: ['83-13=70']
Exploring Operation: 70-2=68, Resulting Numbers: [17, 68]
Generated Node #0,0,0: 68:[17, 68] Operation: 70-2=68
Moving to Node #0,0,0
Current State: 68:[17, 68], Operations: ['83-13=70', '70-2=68']
Exploring Operation: 68/17=4, Resulting Numbers: [4]
4,68 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
3,
52,
7,
44
] | 69 | [
"7+44=51",
"51/3=17",
"52+17=69"
] | Current State: 69:[3, 52, 7, 44], Operations: []
Exploring Operation: 7+44=51, Resulting Numbers: [3, 52, 51]
Generated Node #2: [3, 52, 51] from Operation: 7+44=51
Current State: 69:[3, 52, 51], Operations: ['7+44=51']
Exploring Operation: 51/3=17, Resulting Numbers: [52, 17]
Generated Node #3: [52, 17] from Operation: 51/3=17
Current State: 69:[52, 17], Operations: ['7+44=51', '51/3=17']
Exploring Operation: 52+17=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[3, 52, 7, 44], Operations: []
Exploring Operation: 52+7=59, Resulting Numbers: [3, 44, 59]
Generated Node #0,0: 69:[3, 44, 59] Operation: 52+7=59
Exploring Operation: 44-7=37, Resulting Numbers: [3, 52, 37]
Generated Node #0,1: 69:[3, 52, 37] Operation: 44-7=37
Exploring Operation: 52+44=96, Resulting Numbers: [3, 7, 96]
Generated Node #0,2: 69:[3, 7, 96] Operation: 52+44=96
Exploring Operation: 52-44=8, Resulting Numbers: [3, 7, 8]
Generated Node #0,3: 69:[3, 7, 8] Operation: 52-44=8
Moving to Node #0,3
Current State: 69:[3, 7, 8], Operations: ['52-44=8']
Exploring Operation: 3*8=24, Resulting Numbers: [7, 24]
Generated Node #0,3,0: 69:[7, 24] Operation: 3*8=24
Exploring Operation: 8-7=1, Resulting Numbers: [3, 1]
Generated Node #0,3,1: 69:[3, 1] Operation: 8-7=1
Exploring Operation: 8-3=5, Resulting Numbers: [7, 5]
Generated Node #0,3,2: 69:[7, 5] Operation: 8-3=5
Exploring Operation: 7-3=4, Resulting Numbers: [8, 4]
Generated Node #0,3,3: 69:[8, 4] Operation: 7-3=4
Moving to Node #0,1
Current State: 69:[3, 52, 37], Operations: ['44-7=37']
Exploring Operation: 52-37=15, Resulting Numbers: [3, 15]
Generated Node #0,1,0: 69:[3, 15] Operation: 52-37=15
Exploring Operation: 37-3=34, Resulting Numbers: [52, 34]
Generated Node #0,1,1: 69:[52, 34] Operation: 37-3=34
Exploring Operation: 3+52=55, Resulting Numbers: [37, 55]
Generated Node #0,1,2: 69:[37, 55] Operation: 3+52=55
Exploring Operation: 52+37=89, Resulting Numbers: [3, 89]
Generated Node #0,1,3: 69:[3, 89] Operation: 52+37=89
Moving to Node #0,0
Current State: 69:[3, 44, 59], Operations: ['52+7=59']
Exploring Operation: 59-44=15, Resulting Numbers: [3, 15]
Generated Node #0,0,0: 69:[3, 15] Operation: 59-44=15
Exploring Operation: 44-3=41, Resulting Numbers: [59, 41]
Generated Node #0,0,1: 69:[59, 41] Operation: 44-3=41
Exploring Operation: 3+44=47, Resulting Numbers: [59, 47]
Generated Node #0,0,2: 69:[59, 47] Operation: 3+44=47
Exploring Operation: 3+59=62, Resulting Numbers: [44, 62]
Generated Node #0,0,3: 69:[44, 62] Operation: 3+59=62
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[3, 15], Operations: ['52+7=59', '59-44=15']
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 69:[59, 41], Operations: ['52+7=59', '44-3=41']
Exploring Operation: 59*41=2419, Resulting Numbers: [2419]
2419,69 unequal: No Solution
Exploring Operation: 59+41=100, Resulting Numbers: [100]
100,69 unequal: No Solution
Exploring Operation: 59-41=18, Resulting Numbers: [18]
18,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 69:[44, 62], Operations: ['52+7=59', '3+59=62']
Exploring Operation: 44*62=2728, Resulting Numbers: [2728]
2728,69 unequal: No Solution
Exploring Operation: 62-44=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Exploring Operation: 44+62=106, Resulting Numbers: [106]
106,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 69:[59, 47], Operations: ['52+7=59', '3+44=47']
Exploring Operation: 59*47=2773, Resulting Numbers: [2773]
2773,69 unequal: No Solution
Exploring Operation: 59+47=106, Resulting Numbers: [106]
106,69 unequal: No Solution
Exploring Operation: 59-47=12, Resulting Numbers: [12]
12,69 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: 69:[3, 7, 96], Operations: ['52+44=96']
Exploring Operation: 96-7=89, Resulting Numbers: [3, 89]
Generated Node #0,2,0: 69:[3, 89] Operation: 96-7=89
Exploring Operation: 7-3=4, Resulting Numbers: [96, 4]
Generated Node #0,2,1: 69:[96, 4] Operation: 7-3=4
Exploring Operation: 96-3=93, Resulting Numbers: [7, 93]
Generated Node #0,2,2: 69:[7, 93] Operation: 96-3=93
Exploring Operation: 96/3=32, Resulting Numbers: [7, 32]
Generated Node #0,2,3: 69:[7, 32] Operation: 96/3=32
Moving to Node #0,3,1
Current State: 69:[3, 1], Operations: ['52-44=8', '8-7=1']
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,69 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Moving to Node #0,3,0
Current State: 69:[7, 24], Operations: ['52-44=8', '3*8=24']
Exploring Operation: 7+24=31, Resulting Numbers: [31]
31,69 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,69 unequal: No Solution
Exploring Operation: 7*24=168, Resulting Numbers: [168]
168,69 unequal: No Solution
Moving to Node #0,3,2
Current State: 69:[7, 5], Operations: ['52-44=8', '8-3=5']
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,69 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,69 unequal: No Solution
Moving to Node #0,3,3
Current State: 69:[8, 4], Operations: ['52-44=8', '7-3=4']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,69 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,69 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,69 unequal: No Solution
Moving to Node #0,1,0
Current State: 69:[3, 15], Operations: ['44-7=37', '52-37=15']
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,69 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,69 unequal: No Solution
Moving to Node #0,2,3
Current State: 69:[7, 32], Operations: ['52+44=96', '96/3=32']
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,69 unequal: No Solution
Exploring Operation: 7*32=224, Resulting Numbers: [224]
224,69 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,69 unequal: No Solution
Moving to Node #0,1,3
Current State: 69:[3, 89], Operations: ['44-7=37', '52+37=89']
Exploring Operation: 3*89=267, Resulting Numbers: [267]
267,69 unequal: No Solution
Exploring Operation: 3+89=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,69 unequal: No Solution
Moving to Node #0,2,0
Current State: 69:[3, 89], Operations: ['52+44=96', '96-7=89']
Exploring Operation: 3*89=267, Resulting Numbers: [267]
267,69 unequal: No Solution
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,69 unequal: No Solution
Exploring Operation: 3+89=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Moving to Node #0,2,1
Current State: 69:[96, 4], Operations: ['52+44=96', '7-3=4']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,69 unequal: No Solution
Exploring Operation: 96+4=100, Resulting Numbers: [100]
100,69 unequal: No Solution
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 96*4=384, Resulting Numbers: [384]
384,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[52, 34], Operations: ['44-7=37', '37-3=34']
Exploring Operation: 52*34=1768, Resulting Numbers: [1768]
1768,69 unequal: No Solution
Exploring Operation: 52+34=86, Resulting Numbers: [86]
86,69 unequal: No Solution
Exploring Operation: 52-34=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Moving to Node #0,2,2
Current State: 69:[7, 93], Operations: ['52+44=96', '96-3=93']
Exploring Operation: 7*93=651, Resulting Numbers: [651]
651,69 unequal: No Solution
Exploring Operation: 7+93=100, Resulting Numbers: [100]
100,69 unequal: No Solution
Exploring Operation: 93-7=86, Resulting Numbers: [86]
86,69 unequal: No Solution
Moving to Node #0,1,2
Current State: 69:[37, 55], Operations: ['44-7=37', '3+52=55']
Exploring Operation: 37+55=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 55-37=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Exploring Operation: 37*55=2035, Resulting Numbers: [2035]
2035,69 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
95,
43,
24,
35
] | 41 | [
"95-43=52",
"35-24=11",
"52-11=41"
] | Current State: 41:[95, 43, 24, 35], Operations: []
Exploring Operation: 95-43=52, Resulting Numbers: [24, 35, 52]
Generated Node #2: [24, 35, 52] from Operation: 95-43=52
Current State: 41:[24, 35, 52], Operations: ['95-43=52']
Exploring Operation: 35-24=11, Resulting Numbers: [52, 11]
Generated Node #3: [52, 11] from Operation: 35-24=11
Current State: 41:[52, 11], Operations: ['95-43=52', '35-24=11']
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[95, 43, 24, 35], Operations: []
Exploring Operation: 95-24=71, Resulting Numbers: [43, 35, 71]
Generated Node #0,0: 41:[43, 35, 71] Operation: 95-24=71
Exploring Operation: 95-35=60, Resulting Numbers: [43, 24, 60]
Generated Node #0,1: 41:[43, 24, 60] Operation: 95-35=60
Exploring Operation: 95-43=52, Resulting Numbers: [24, 35, 52]
Generated Node #0,2: 41:[24, 35, 52] Operation: 95-43=52
Start Sub Search at level 1: Moving to Node #0,2
Current State: 41:[24, 35, 52], Operations: ['95-43=52']
Exploring Operation: 52-24=28, Resulting Numbers: [35, 28]
Generated Node #0,2,0: 41:[35, 28] Operation: 52-24=28
Exploring Operation: 24+35=59, Resulting Numbers: [52, 59]
Generated Node #0,2,1: 41:[52, 59] Operation: 24+35=59
Exploring Operation: 35-24=11, Resulting Numbers: [52, 11]
Generated Node #0,2,2: 41:[52, 11] Operation: 35-24=11
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 41:[35, 28], Operations: ['95-43=52', '52-24=28']
Exploring Operation: 35-28=7, Resulting Numbers: [7]
7,41 unequal: No Solution
Exploring Operation: 35*28=980, Resulting Numbers: [980]
980,41 unequal: No Solution
Exploring Operation: 35+28=63, Resulting Numbers: [63]
63,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 41:[52, 59], Operations: ['95-43=52', '24+35=59']
Exploring Operation: 59-52=7, Resulting Numbers: [7]
7,41 unequal: No Solution
Exploring Operation: 52*59=3068, Resulting Numbers: [3068]
3068,41 unequal: No Solution
Exploring Operation: 52+59=111, Resulting Numbers: [111]
111,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 41:[52, 11], Operations: ['95-43=52', '35-24=11']
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[95, 43, 24, 35], Operations: []
Exploring Operation: 95-43=52, Resulting Numbers: [24, 35, 52]
Generated Node #0,2: 41:[24, 35, 52] Operation: 95-43=52
Moving to Node #0,2
Current State: 41:[24, 35, 52], Operations: ['95-43=52']
Exploring Operation: 35-24=11, Resulting Numbers: [52, 11]
Generated Node #0,2,2: 41:[52, 11] Operation: 35-24=11
Moving to Node #0,2,2
Current State: 41:[52, 11], Operations: ['95-43=52', '35-24=11']
Exploring Operation: 52-11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
25,
53,
83,
21
] | 76 | [
"53-25=28",
"83+21=104",
"104-28=76"
] | Current State: 76:[25, 53, 83, 21], Operations: []
Exploring Operation: 53-25=28, Resulting Numbers: [83, 21, 28]
Generated Node #2: [83, 21, 28] from Operation: 53-25=28
Current State: 76:[83, 21, 28], Operations: ['53-25=28']
Exploring Operation: 83+21=104, Resulting Numbers: [28, 104]
Generated Node #3: [28, 104] from Operation: 83+21=104
Current State: 76:[28, 104], Operations: ['53-25=28', '83+21=104']
Exploring Operation: 104-28=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[25, 53, 83, 21], Operations: []
Exploring Operation: 25+53=78, Resulting Numbers: [83, 21, 78]
Generated Node #0,0: 76:[83, 21, 78] Operation: 25+53=78
Moving to Node #0,0
Current State: 76:[83, 21, 78], Operations: ['25+53=78']
Exploring Operation: 83-78=5, Resulting Numbers: [21, 5]
Generated Node #0,0,0: 76:[21, 5] Operation: 83-78=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[21, 5], Operations: ['25+53=78', '83-78=5']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
11,
66,
77,
22
] | 63 | [
"77-11=66",
"66/22=3",
"66-3=63"
] | Current State: 63:[11, 66, 77, 22], Operations: []
Exploring Operation: 77-11=66, Resulting Numbers: [66, 22, 66]
Generated Node #2: [66, 22, 66] from Operation: 77-11=66
Current State: 63:[66, 22, 66], Operations: ['77-11=66']
Exploring Operation: 66/22=3, Resulting Numbers: [3]
3,63 equal: Goal Reached
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[11, 66, 77, 22], Operations: []
Exploring Operation: 77-66=11, Resulting Numbers: [11, 22, 11]
Generated Node #0,0: 63:[11, 22, 11] Operation: 77-66=11
Exploring Operation: 77/11=7, Resulting Numbers: [66, 22, 7]
Generated Node #0,1: 63:[66, 22, 7] Operation: 77/11=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[66, 22, 7], Operations: ['77/11=7']
Exploring Operation: 66-7=59, Resulting Numbers: [22, 59]
Generated Node #0,1,0: 63:[22, 59] Operation: 66-7=59
Exploring Operation: 66/22=3, Resulting Numbers: [7, 3]
Generated Node #0,1,1: 63:[7, 3] Operation: 66/22=3
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 63:[7, 3], Operations: ['77/11=7', '66/22=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,63 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,63 unequal: No Solution
No 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: 63:[22, 59], Operations: ['77/11=7', '66-7=59']
Exploring Operation: 22+59=81, Resulting Numbers: [81]
81,63 unequal: No Solution
Exploring Operation: 59-22=37, Resulting Numbers: [37]
37,63 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: 63:[11, 22, 11], Operations: ['77-66=11']
Exploring Operation: 11+11=22, Resulting Numbers: [22, 22]
Generated Node #0,0,0: 63:[22, 22] Operation: 11+11=22
Exploring Operation: 22/11=2, Resulting Numbers: [11, 2]
Generated Node #0,0,1: 63:[11, 2] Operation: 22/11=2
Moving to Node #0,0,0
Current State: 63:[22, 22], Operations: ['77-66=11', '11+11=22']
Exploring Operation: 22/22=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 22-22=0, Resulting Numbers: [0]
0,63 unequal: No Solution
Moving to Node #0,0,1
Current State: 63:[11, 2], Operations: ['77-66=11', '22/11=2']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,63 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
12,
6,
78,
48
] | 47 | [
"12+48=60",
"78/6=13",
"60-13=47"
] | Current State: 47:[12, 6, 78, 48], Operations: []
Exploring Operation: 12+48=60, Resulting Numbers: [6, 78, 60]
Generated Node #2: [6, 78, 60] from Operation: 12+48=60
Current State: 47:[6, 78, 60], Operations: ['12+48=60']
Exploring Operation: 78/6=13, Resulting Numbers: [60, 13]
Generated Node #3: [60, 13] from Operation: 78/6=13
Current State: 47:[60, 13], Operations: ['12+48=60', '78/6=13']
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[12, 6, 78, 48], Operations: []
Exploring Operation: 12*6=72, Resulting Numbers: [78, 48, 72]
Generated Node #0,0: 47:[78, 48, 72] Operation: 12*6=72
Exploring Operation: 12+6=18, Resulting Numbers: [78, 48, 18]
Generated Node #0,1: 47:[78, 48, 18] Operation: 12+6=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[78, 48, 72], Operations: ['12*6=72']
Exploring Operation: 78-72=6, Resulting Numbers: [48, 6]
Generated Node #0,0,0: 47:[48, 6] Operation: 78-72=6
Exploring Operation: 78-48=30, Resulting Numbers: [72, 30]
Generated Node #0,0,1: 47:[72, 30] Operation: 78-48=30
Moving to Node #0,0,0
Current State: 47:[48, 6], Operations: ['12*6=72', '78-72=6']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,47 unequal: No Solution
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[72, 30], Operations: ['12*6=72', '78-48=30']
Exploring Operation: 72+30=102, Resulting Numbers: [102]
102,47 unequal: No Solution
Exploring Operation: 72-30=42, Resulting Numbers: [42]
42,47 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:[78, 48, 18], Operations: ['12+6=18']
Exploring Operation: 78-18=60, Resulting Numbers: [48, 60]
Generated Node #0,1,0: 47:[48, 60] Operation: 78-18=60
Exploring Operation: 78-48=30, Resulting Numbers: [18, 30]
Generated Node #0,1,1: 47:[18, 30] Operation: 78-48=30
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[48, 60], Operations: ['12+6=18', '78-18=60']
Exploring Operation: 60-48=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Exploring Operation: 48+60=108, Resulting Numbers: [108]
108,47 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 #0,1,1
Current State: 47:[18, 30], Operations: ['12+6=18', '78-48=30']
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,47 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_2 | mult_heuristic |
[
81,
80,
11,
95
] | 96 | [
"81+95=176",
"176/11=16",
"80+16=96"
] | Current State: 96:[81, 80, 11, 95], Operations: []
Exploring Operation: 81+95=176, Resulting Numbers: [80, 11, 176]
Generated Node #2: [80, 11, 176] from Operation: 81+95=176
Current State: 96:[80, 11, 176], Operations: ['81+95=176']
Exploring Operation: 176/11=16, Resulting Numbers: [80, 16]
Generated Node #3: [80, 16] from Operation: 176/11=16
Current State: 96:[80, 16], Operations: ['81+95=176', '176/11=16']
Exploring Operation: 80+16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[81, 80, 11, 95], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [11, 95, 1]
Generated Node #0,0: 96:[11, 95, 1] Operation: 81-80=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[11, 95, 1], Operations: ['81-80=1']
Exploring Operation: 11+1=12, Resulting Numbers: [95, 12]
Generated Node #0,0,0: 96:[95, 12] Operation: 11+1=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[95, 12], Operations: ['81-80=1', '11+1=12']
Exploring Operation: 95+12=107, Resulting Numbers: [107]
107,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
35,
68,
2,
41
] | 58 | [
"35*68=2380",
"2380-2=2378",
"2378/41=58"
] | Current State: 58:[35, 68, 2, 41], Operations: []
Exploring Operation: 35*68=2380, Resulting Numbers: [2, 41, 2380]
Generated Node #2: [2, 41, 2380] from Operation: 35*68=2380
Current State: 58:[2, 41, 2380], Operations: ['35*68=2380']
Exploring Operation: 2380-2=2378, Resulting Numbers: [41, 2378]
Generated Node #3: [41, 2378] from Operation: 2380-2=2378
Current State: 58:[41, 2378], Operations: ['35*68=2380', '2380-2=2378']
Exploring Operation: 2378/41=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[35, 68, 2, 41], Operations: []
Exploring Operation: 41-35=6, Resulting Numbers: [68, 2, 6]
Generated Node #0,0: 58:[68, 2, 6] Operation: 41-35=6
Exploring Operation: 68-41=27, Resulting Numbers: [35, 2, 27]
Generated Node #0,1: 58:[35, 2, 27] Operation: 68-41=27
Exploring Operation: 68-35=33, Resulting Numbers: [2, 41, 33]
Generated Node #0,2: 58:[2, 41, 33] Operation: 68-35=33
Moving to Node #0,1
Current State: 58:[35, 2, 27], Operations: ['68-41=27']
Exploring Operation: 35-27=8, Resulting Numbers: [2, 8]
Generated Node #0,1,0: 58:[2, 8] Operation: 35-27=8
Exploring Operation: 35+27=62, Resulting Numbers: [2, 62]
Generated Node #0,1,1: 58:[2, 62] Operation: 35+27=62
Exploring Operation: 35-2=33, Resulting Numbers: [27, 33]
Generated Node #0,1,2: 58:[27, 33] Operation: 35-2=33
Moving to Node #0,0
Current State: 58:[68, 2, 6], Operations: ['41-35=6']
Exploring Operation: 6/2=3, Resulting Numbers: [68, 3]
Generated Node #0,0,0: 58:[68, 3] Operation: 6/2=3
Exploring Operation: 68-6=62, Resulting Numbers: [2, 62]
Generated Node #0,0,1: 58:[2, 62] Operation: 68-6=62
Exploring Operation: 68/2=34, Resulting Numbers: [6, 34]
Generated Node #0,0,2: 58:[6, 34] Operation: 68/2=34
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[2, 62], Operations: ['41-35=6', '68-6=62']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,58 unequal: No Solution
Exploring Operation: 2+62=64, Resulting Numbers: [64]
64,58 unequal: No Solution
No 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: 58:[6, 34], Operations: ['41-35=6', '68/2=34']
Exploring Operation: 34-6=28, Resulting Numbers: [28]
28,58 unequal: No Solution
Exploring Operation: 6+34=40, Resulting Numbers: [40]
40,58 unequal: No Solution
Exploring Operation: 6*34=204, Resulting Numbers: [204]
204,58 unequal: No Solution
No 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: 58:[68, 3], Operations: ['41-35=6', '6/2=3']
Exploring Operation: 68+3=71, Resulting Numbers: [71]
71,58 unequal: No Solution
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,58 unequal: No Solution
Exploring Operation: 68*3=204, Resulting Numbers: [204]
204,58 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: 58:[2, 41, 33], Operations: ['68-35=33']
Exploring Operation: 41-33=8, Resulting Numbers: [2, 8]
Generated Node #0,2,0: 58:[2, 8] Operation: 41-33=8
Exploring Operation: 41-2=39, Resulting Numbers: [33, 39]
Generated Node #0,2,1: 58:[33, 39] Operation: 41-2=39
Exploring Operation: 33-2=31, Resulting Numbers: [41, 31]
Generated Node #0,2,2: 58:[41, 31] Operation: 33-2=31
Moving to Node #0,1,1
Current State: 58:[2, 62], Operations: ['68-41=27', '35+27=62']
Exploring Operation: 62/2=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 2+62=64, Resulting Numbers: [64]
64,58 unequal: No Solution
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[27, 33], Operations: ['68-41=27', '35-2=33']
Exploring Operation: 33-27=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 27+33=60, Resulting Numbers: [60]
60,58 unequal: No Solution
Exploring Operation: 27*33=891, Resulting Numbers: [891]
891,58 unequal: No Solution
Moving to Node #0,1,0
Current State: 58:[2, 8], Operations: ['68-41=27', '35-27=8']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,58 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Moving to Node #0,2,0
Current State: 58:[2, 8], Operations: ['68-35=33', '41-33=8']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,58 unequal: No Solution
Moving to Node #0,2,1
Current State: 58:[33, 39], Operations: ['68-35=33', '41-2=39']
Exploring Operation: 33+39=72, Resulting Numbers: [72]
72,58 unequal: No Solution
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 33*39=1287, Resulting Numbers: [1287]
1287,58 unequal: No Solution
Moving to Node #0,2,2
Current State: 58:[41, 31], Operations: ['68-35=33', '33-2=31']
Exploring Operation: 41-31=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Exploring Operation: 41*31=1271, Resulting Numbers: [1271]
1271,58 unequal: No Solution
Exploring Operation: 41+31=72, Resulting Numbers: [72]
72,58 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
99,
16,
98,
2
] | 31 | [
"99-98=1",
"16*2=32",
"32-1=31"
] | Current State: 31:[99, 16, 98, 2], Operations: []
Exploring Operation: 99-98=1, Resulting Numbers: [16, 2, 1]
Generated Node #2: [16, 2, 1] from Operation: 99-98=1
Current State: 31:[16, 2, 1], Operations: ['99-98=1']
Exploring Operation: 16*2=32, Resulting Numbers: [1, 32]
Generated Node #3: [1, 32] from Operation: 16*2=32
Current State: 31:[1, 32], Operations: ['99-98=1', '16*2=32']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[99, 16, 98, 2], Operations: []
Exploring Operation: 16*2=32, Resulting Numbers: [99, 98, 32]
Generated Node #0,0: 31:[99, 98, 32] Operation: 16*2=32
Exploring Operation: 99-16=83, Resulting Numbers: [98, 2, 83]
Generated Node #0,1: 31:[98, 2, 83] Operation: 99-16=83
Exploring Operation: 99-98=1, Resulting Numbers: [16, 2, 1]
Generated Node #0,2: 31:[16, 2, 1] Operation: 99-98=1
Exploring Operation: 98/2=49, Resulting Numbers: [99, 16, 49]
Generated Node #0,3: 31:[99, 16, 49] Operation: 98/2=49
Moving to Node #0,2
Current State: 31:[16, 2, 1], Operations: ['99-98=1']
Exploring Operation: 2+1=3, Resulting Numbers: [16, 3]
Generated Node #0,2,0: 31:[16, 3] Operation: 2+1=3
Exploring Operation: 16+1=17, Resulting Numbers: [2, 17]
Generated Node #0,2,1: 31:[2, 17] Operation: 16+1=17
Exploring Operation: 16*2=32, Resulting Numbers: [1, 32]
Generated Node #0,2,2: 31:[1, 32] Operation: 16*2=32
Exploring Operation: 16+2=18, Resulting Numbers: [1, 18]
Generated Node #0,2,3: 31:[1, 18] Operation: 16+2=18
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 31:[1, 32], Operations: ['99-98=1', '16*2=32']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[99, 16, 98, 2], Operations: []
Exploring Operation: 99-98=1, Resulting Numbers: [16, 2, 1]
Generated Node #0,2: 31:[16, 2, 1] Operation: 99-98=1
Moving to Node #0,2
Current State: 31:[16, 2, 1], Operations: ['99-98=1']
Exploring Operation: 16*2=32, Resulting Numbers: [1, 32]
Generated Node #0,2,2: 31:[1, 32] Operation: 16*2=32
Moving to Node #0,2,2
Current State: 31:[1, 32], Operations: ['99-98=1', '16*2=32']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
84,
38,
12,
10
] | 97 | [
"84*12=1008",
"1008-38=970",
"970/10=97"
] | Current State: 97:[84, 38, 12, 10], Operations: []
Exploring Operation: 84*12=1008, Resulting Numbers: [38, 10, 1008]
Generated Node #2: [38, 10, 1008] from Operation: 84*12=1008
Current State: 97:[38, 10, 1008], Operations: ['84*12=1008']
Exploring Operation: 1008-38=970, Resulting Numbers: [10, 970]
Generated Node #3: [10, 970] from Operation: 1008-38=970
Current State: 97:[10, 970], Operations: ['84*12=1008', '1008-38=970']
Exploring Operation: 970/10=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[84, 38, 12, 10], Operations: []
Exploring Operation: 84+12=96, Resulting Numbers: [38, 10, 96]
Generated Node #0,0: 97:[38, 10, 96] Operation: 84+12=96
Exploring Operation: 84+10=94, Resulting Numbers: [38, 12, 94]
Generated Node #0,1: 97:[38, 12, 94] Operation: 84+10=94
Exploring Operation: 38+12=50, Resulting Numbers: [84, 10, 50]
Generated Node #0,2: 97:[84, 10, 50] Operation: 38+12=50
Exploring Operation: 12*10=120, Resulting Numbers: [84, 38, 120]
Generated Node #0,3: 97:[84, 38, 120] Operation: 12*10=120
Start Sub Search at level 1: Moving to Node #0,3
Current State: 97:[84, 38, 120], Operations: ['12*10=120']
Exploring Operation: 38+120=158, Resulting Numbers: [84, 158]
Generated Node #0,3,0: 97:[84, 158] Operation: 38+120=158
Exploring Operation: 120-38=82, Resulting Numbers: [84, 82]
Generated Node #0,3,1: 97:[84, 82] Operation: 120-38=82
Exploring Operation: 84-38=46, Resulting Numbers: [120, 46]
Generated Node #0,3,2: 97:[120, 46] Operation: 84-38=46
Exploring Operation: 84+38=122, Resulting Numbers: [120, 122]
Generated Node #0,3,3: 97:[120, 122] Operation: 84+38=122
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 97:[84, 82], Operations: ['12*10=120', '120-38=82']
Exploring Operation: 84+82=166, Resulting Numbers: [166]
166,97 unequal: No Solution
Exploring Operation: 84-82=2, Resulting Numbers: [2]
2,97 unequal: No Solution
Exploring Operation: 84*82=6888, Resulting Numbers: [6888]
6888,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 97:[120, 122], Operations: ['12*10=120', '84+38=122']
Exploring Operation: 122-120=2, Resulting Numbers: [2]
2,97 unequal: No Solution
Exploring Operation: 120*122=14640, Resulting Numbers: [14640]
14640,97 unequal: No Solution
Exploring Operation: 120+122=242, Resulting Numbers: [242]
242,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 97:[84, 158], Operations: ['12*10=120', '38+120=158']
Exploring Operation: 158-84=74, Resulting Numbers: [74]
74,97 unequal: No Solution
Exploring Operation: 84+158=242, Resulting Numbers: [242]
242,97 unequal: No Solution
Exploring Operation: 84*158=13272, Resulting Numbers: [13272]
13272,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 97:[120, 46], Operations: ['12*10=120', '84-38=46']
Exploring Operation: 120*46=5520, Resulting Numbers: [5520]
5520,97 unequal: No Solution
Exploring Operation: 120-46=74, Resulting Numbers: [74]
74,97 unequal: No Solution
Exploring Operation: 120+46=166, Resulting Numbers: [166]
166,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[38, 10, 96], Operations: ['84+12=96']
Exploring Operation: 38+10=48, Resulting Numbers: [96, 48]
Generated Node #0,0,0: 97:[96, 48] Operation: 38+10=48
Exploring Operation: 96-10=86, Resulting Numbers: [38, 86]
Generated Node #0,0,1: 97:[38, 86] Operation: 96-10=86
Exploring Operation: 38-10=28, Resulting Numbers: [96, 28]
Generated Node #0,0,2: 97:[96, 28] Operation: 38-10=28
Exploring Operation: 10+96=106, Resulting Numbers: [38, 106]
Generated Node #0,0,3: 97:[38, 106] Operation: 10+96=106
Moving to Node #0,0,0
Current State: 97:[96, 48], Operations: ['84+12=96', '38+10=48']
Exploring Operation: 96-48=48, Resulting Numbers: [48]
48,97 unequal: No Solution
Exploring Operation: 96/48=2, Resulting Numbers: [2]
2,97 unequal: No Solution
Exploring Operation: 96*48=4608, Resulting Numbers: [4608]
4608,97 unequal: No Solution
Exploring Operation: 96+48=144, Resulting Numbers: [144]
144,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[38, 106], Operations: ['84+12=96', '10+96=106']
Exploring Operation: 106-38=68, Resulting Numbers: [68]
68,97 unequal: No Solution
Exploring Operation: 38+106=144, Resulting Numbers: [144]
144,97 unequal: No Solution
Exploring Operation: 38*106=4028, Resulting Numbers: [4028]
4028,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[96, 28], Operations: ['84+12=96', '38-10=28']
Exploring Operation: 96*28=2688, Resulting Numbers: [2688]
2688,97 unequal: No Solution
Exploring Operation: 96-28=68, Resulting Numbers: [68]
68,97 unequal: No Solution
Exploring Operation: 96+28=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[38, 86], Operations: ['84+12=96', '96-10=86']
Exploring Operation: 86-38=48, Resulting Numbers: [48]
48,97 unequal: No Solution
Exploring Operation: 38+86=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Exploring Operation: 38*86=3268, Resulting Numbers: [3268]
3268,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[38, 12, 94], Operations: ['84+10=94']
Exploring Operation: 94-12=82, Resulting Numbers: [38, 82]
Generated Node #0,1,0: 97:[38, 82] Operation: 94-12=82
Exploring Operation: 38+12=50, Resulting Numbers: [94, 50]
Generated Node #0,1,1: 97:[94, 50] Operation: 38+12=50
Exploring Operation: 12+94=106, Resulting Numbers: [38, 106]
Generated Node #0,1,2: 97:[38, 106] Operation: 12+94=106
Exploring Operation: 38-12=26, Resulting Numbers: [94, 26]
Generated Node #0,1,3: 97:[94, 26] Operation: 38-12=26
Moving to Node #0,1,1
Current State: 97:[94, 50], Operations: ['84+10=94', '38+12=50']
Exploring Operation: 94+50=144, Resulting Numbers: [144]
144,97 unequal: No Solution
Exploring Operation: 94-50=44, Resulting Numbers: [44]
44,97 unequal: No Solution
Exploring Operation: 94*50=4700, Resulting Numbers: [4700]
4700,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[38, 106], Operations: ['84+10=94', '12+94=106']
Exploring Operation: 106-38=68, Resulting Numbers: [68]
68,97 unequal: No Solution
Exploring Operation: 38+106=144, Resulting Numbers: [144]
144,97 unequal: No Solution
Exploring Operation: 38*106=4028, Resulting Numbers: [4028]
4028,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[94, 26], Operations: ['84+10=94', '38-12=26']
Exploring Operation: 94-26=68, Resulting Numbers: [68]
68,97 unequal: No Solution
Exploring Operation: 94+26=120, Resulting Numbers: [120]
120,97 unequal: No Solution
Exploring Operation: 94*26=2444, Resulting Numbers: [2444]
2444,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[38, 82], Operations: ['84+10=94', '94-12=82']
Exploring Operation: 38+82=120, Resulting Numbers: [120]
120,97 unequal: No Solution
Exploring Operation: 38*82=3116, Resulting Numbers: [3116]
3116,97 unequal: No Solution
Exploring Operation: 82-38=44, Resulting Numbers: [44]
44,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 97:[84, 10, 50], Operations: ['38+12=50']
Exploring Operation: 10+50=60, Resulting Numbers: [84, 60]
Generated Node #0,2,0: 97:[84, 60] Operation: 10+50=60
Exploring Operation: 84-10=74, Resulting Numbers: [50, 74]
Generated Node #0,2,1: 97:[50, 74] Operation: 84-10=74
Exploring Operation: 50-10=40, Resulting Numbers: [84, 40]
Generated Node #0,2,2: 97:[84, 40] Operation: 50-10=40
Exploring Operation: 84+10=94, Resulting Numbers: [50, 94]
Generated Node #0,2,3: 97:[50, 94] Operation: 84+10=94
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 97:[84, 60], Operations: ['38+12=50', '10+50=60']
Exploring Operation: 84-60=24, Resulting Numbers: [24]
24,97 unequal: No Solution
Exploring Operation: 84*60=5040, Resulting Numbers: [5040]
5040,97 unequal: No Solution
Exploring Operation: 84+60=144, Resulting Numbers: [144]
144,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 97:[50, 94], Operations: ['38+12=50', '84+10=94']
Exploring Operation: 50*94=4700, Resulting Numbers: [4700]
4700,97 unequal: No Solution
Exploring Operation: 50+94=144, Resulting Numbers: [144]
144,97 unequal: No Solution
Exploring Operation: 94-50=44, Resulting Numbers: [44]
44,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 97:[50, 74], Operations: ['38+12=50', '84-10=74']
Exploring Operation: 50+74=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Exploring Operation: 74-50=24, Resulting Numbers: [24]
24,97 unequal: No Solution
Exploring Operation: 50*74=3700, Resulting Numbers: [3700]
3700,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 97:[84, 40], Operations: ['38+12=50', '50-10=40']
Exploring Operation: 84+40=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Exploring Operation: 84-40=44, Resulting Numbers: [44]
44,97 unequal: No Solution
Exploring Operation: 84*40=3360, Resulting Numbers: [3360]
3360,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
4,
53,
38,
31
] | 59 | [
"53+31=84",
"84/4=21",
"38+21=59"
] | Current State: 59:[4, 53, 38, 31], Operations: []
Exploring Operation: 53+31=84, Resulting Numbers: [4, 38, 84]
Generated Node #2: [4, 38, 84] from Operation: 53+31=84
Current State: 59:[4, 38, 84], Operations: ['53+31=84']
Exploring Operation: 84/4=21, Resulting Numbers: [38, 21]
Generated Node #3: [38, 21] from Operation: 84/4=21
Current State: 59:[38, 21], Operations: ['53+31=84', '84/4=21']
Exploring Operation: 38+21=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[4, 53, 38, 31], Operations: []
Exploring Operation: 4+38=42, Resulting Numbers: [53, 31, 42]
Generated Node #0,0: 59:[53, 31, 42] Operation: 4+38=42
Exploring Operation: 38-4=34, Resulting Numbers: [53, 31, 34]
Generated Node #0,1: 59:[53, 31, 34] Operation: 38-4=34
Exploring Operation: 53-4=49, Resulting Numbers: [38, 31, 49]
Generated Node #0,2: 59:[38, 31, 49] Operation: 53-4=49
Exploring Operation: 4+53=57, Resulting Numbers: [38, 31, 57]
Generated Node #0,3: 59:[38, 31, 57] Operation: 4+53=57
Exploring Operation: 4+31=35, Resulting Numbers: [53, 38, 35]
Generated Node #0,4: 59:[53, 38, 35] Operation: 4+31=35
Moving to Node #0,0
Current State: 59:[53, 31, 42], Operations: ['4+38=42']
Exploring Operation: 31+42=73, Resulting Numbers: [53, 73]
Generated Node #0,0,0: 59:[53, 73] Operation: 31+42=73
Exploring Operation: 53+31=84, Resulting Numbers: [42, 84]
Generated Node #0,0,1: 59:[42, 84] Operation: 53+31=84
Exploring Operation: 53+42=95, Resulting Numbers: [31, 95]
Generated Node #0,0,2: 59:[31, 95] Operation: 53+42=95
Exploring Operation: 53-31=22, Resulting Numbers: [42, 22]
Generated Node #0,0,3: 59:[42, 22] Operation: 53-31=22
Exploring Operation: 42-31=11, Resulting Numbers: [53, 11]
Generated Node #0,0,4: 59:[53, 11] Operation: 42-31=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[53, 73], Operations: ['4+38=42', '31+42=73']
Exploring Operation: 73-53=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Exploring Operation: 53*73=3869, Resulting Numbers: [3869]
3869,59 unequal: No Solution
Exploring Operation: 53+73=126, Resulting Numbers: [126]
126,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 59:[42, 84], Operations: ['4+38=42', '53+31=84']
Exploring Operation: 42+84=126, Resulting Numbers: [126]
126,59 unequal: No Solution
Exploring Operation: 84-42=42, Resulting Numbers: [42]
42,59 unequal: No Solution
Exploring Operation: 84/42=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 42*84=3528, Resulting Numbers: [3528]
3528,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 59:[42, 22], Operations: ['4+38=42', '53-31=22']
Exploring Operation: 42+22=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Exploring Operation: 42*22=924, Resulting Numbers: [924]
924,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 59:[53, 11], Operations: ['4+38=42', '42-31=11']
Exploring Operation: 53*11=583, Resulting Numbers: [583]
583,59 unequal: No Solution
Exploring Operation: 53-11=42, Resulting Numbers: [42]
42,59 unequal: No Solution
Exploring Operation: 53+11=64, Resulting Numbers: [64]
64,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 59:[31, 95], Operations: ['4+38=42', '53+42=95']
Exploring Operation: 95-31=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Exploring Operation: 31+95=126, Resulting Numbers: [126]
126,59 unequal: No Solution
Exploring Operation: 31*95=2945, Resulting Numbers: [2945]
2945,59 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: 59:[53, 38, 35], Operations: ['4+31=35']
Exploring Operation: 53-35=18, Resulting Numbers: [38, 18]
Generated Node #0,4,0: 59:[38, 18] Operation: 53-35=18
Exploring Operation: 53+35=88, Resulting Numbers: [38, 88]
Generated Node #0,4,1: 59:[38, 88] Operation: 53+35=88
Exploring Operation: 53+38=91, Resulting Numbers: [35, 91]
Generated Node #0,4,2: 59:[35, 91] Operation: 53+38=91
Exploring Operation: 38-35=3, Resulting Numbers: [53, 3]
Generated Node #0,4,3: 59:[53, 3] Operation: 38-35=3
Exploring Operation: 38+35=73, Resulting Numbers: [53, 73]
Generated Node #0,4,4: 59:[53, 73] Operation: 38+35=73
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 59:[53, 73], Operations: ['4+31=35', '38+35=73']
Exploring Operation: 53+73=126, Resulting Numbers: [126]
126,59 unequal: No Solution
Exploring Operation: 53*73=3869, Resulting Numbers: [3869]
3869,59 unequal: No Solution
Exploring Operation: 73-53=20, Resulting Numbers: [20]
20,59 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 #0,4,1
Current State: 59:[38, 88], Operations: ['4+31=35', '53+35=88']
Exploring Operation: 88-38=50, Resulting Numbers: [50]
50,59 unequal: No Solution
Exploring Operation: 38*88=3344, Resulting Numbers: [3344]
3344,59 unequal: No Solution
Exploring Operation: 38+88=126, Resulting Numbers: [126]
126,59 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 #0,4,2
Current State: 59:[35, 91], Operations: ['4+31=35', '53+38=91']
Exploring Operation: 35*91=3185, Resulting Numbers: [3185]
3185,59 unequal: No Solution
Exploring Operation: 35+91=126, Resulting Numbers: [126]
126,59 unequal: No Solution
Exploring Operation: 91-35=56, Resulting Numbers: [56]
56,59 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 #0,4,0
Current State: 59:[38, 18], Operations: ['4+31=35', '53-35=18']
Exploring Operation: 38+18=56, Resulting Numbers: [56]
56,59 unequal: No Solution
Exploring Operation: 38*18=684, Resulting Numbers: [684]
684,59 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,59 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 #0,4,3
Current State: 59:[53, 3], Operations: ['4+31=35', '38-35=3']
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,59 unequal: No Solution
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,59 unequal: No Solution
Exploring Operation: 53*3=159, Resulting Numbers: [159]
159,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 59:[38, 31, 57], Operations: ['4+53=57']
Exploring Operation: 38-31=7, Resulting Numbers: [57, 7]
Generated Node #0,3,0: 59:[57, 7] Operation: 38-31=7
Exploring Operation: 31+57=88, Resulting Numbers: [38, 88]
Generated Node #0,3,1: 59:[38, 88] Operation: 31+57=88
Exploring Operation: 38+31=69, Resulting Numbers: [57, 69]
Generated Node #0,3,2: 59:[57, 69] Operation: 38+31=69
Exploring Operation: 38+57=95, Resulting Numbers: [31, 95]
Generated Node #0,3,3: 59:[31, 95] Operation: 38+57=95
Exploring Operation: 57-31=26, Resulting Numbers: [38, 26]
Generated Node #0,3,4: 59:[38, 26] Operation: 57-31=26
Moving to Node #0,1
Current State: 59:[53, 31, 34], Operations: ['38-4=34']
Exploring Operation: 31+34=65, Resulting Numbers: [53, 65]
Generated Node #0,1,0: 59:[53, 65] Operation: 31+34=65
Exploring Operation: 53-31=22, Resulting Numbers: [34, 22]
Generated Node #0,1,1: 59:[34, 22] Operation: 53-31=22
Exploring Operation: 34-31=3, Resulting Numbers: [53, 3]
Generated Node #0,1,2: 59:[53, 3] Operation: 34-31=3
Exploring Operation: 53+31=84, Resulting Numbers: [34, 84]
Generated Node #0,1,3: 59:[34, 84] Operation: 53+31=84
Exploring Operation: 53+34=87, Resulting Numbers: [31, 87]
Generated Node #0,1,4: 59:[31, 87] Operation: 53+34=87
Moving to Node #0,2
Current State: 59:[38, 31, 49], Operations: ['53-4=49']
Exploring Operation: 38+31=69, Resulting Numbers: [49, 69]
Generated Node #0,2,0: 59:[49, 69] Operation: 38+31=69
Exploring Operation: 38+49=87, Resulting Numbers: [31, 87]
Generated Node #0,2,1: 59:[31, 87] Operation: 38+49=87
Exploring Operation: 38-31=7, Resulting Numbers: [49, 7]
Generated Node #0,2,2: 59:[49, 7] Operation: 38-31=7
Exploring Operation: 31+49=80, Resulting Numbers: [38, 80]
Generated Node #0,2,3: 59:[38, 80] Operation: 31+49=80
Exploring Operation: 49-31=18, Resulting Numbers: [38, 18]
Generated Node #0,2,4: 59:[38, 18] Operation: 49-31=18
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 59:[49, 69], Operations: ['53-4=49', '38+31=69']
Exploring Operation: 49*69=3381, Resulting Numbers: [3381]
3381,59 unequal: No Solution
Exploring Operation: 49+69=118, Resulting Numbers: [118]
118,59 unequal: No Solution
Exploring Operation: 69-49=20, Resulting Numbers: [20]
20,59 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 #0,2,3
Current State: 59:[38, 80], Operations: ['53-4=49', '31+49=80']
Exploring Operation: 38+80=118, Resulting Numbers: [118]
118,59 unequal: No Solution
Exploring Operation: 80-38=42, Resulting Numbers: [42]
42,59 unequal: No Solution
Exploring Operation: 38*80=3040, Resulting Numbers: [3040]
3040,59 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 #0,2,1
Current State: 59:[31, 87], Operations: ['53-4=49', '38+49=87']
Exploring Operation: 31*87=2697, Resulting Numbers: [2697]
2697,59 unequal: No Solution
Exploring Operation: 87-31=56, Resulting Numbers: [56]
56,59 unequal: No Solution
Exploring Operation: 31+87=118, Resulting Numbers: [118]
118,59 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 #0,2,2
Current State: 59:[49, 7], Operations: ['53-4=49', '38-31=7']
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,59 unequal: No Solution
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,59 unequal: No Solution
Exploring Operation: 49*7=343, Resulting Numbers: [343]
343,59 unequal: No Solution
Exploring Operation: 49+7=56, Resulting Numbers: [56]
56,59 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 #0,2,4
Current State: 59:[38, 18], Operations: ['53-4=49', '49-31=18']
Exploring Operation: 38*18=684, Resulting Numbers: [684]
684,59 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Exploring Operation: 38+18=56, Resulting Numbers: [56]
56,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 59:[57, 69], Operations: ['4+53=57', '38+31=69']
Exploring Operation: 57+69=126, Resulting Numbers: [126]
126,59 unequal: No Solution
Exploring Operation: 57*69=3933, Resulting Numbers: [3933]
3933,59 unequal: No Solution
Exploring Operation: 69-57=12, Resulting Numbers: [12]
12,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[53, 65], Operations: ['38-4=34', '31+34=65']
Exploring Operation: 53*65=3445, Resulting Numbers: [3445]
3445,59 unequal: No Solution
Exploring Operation: 53+65=118, Resulting Numbers: [118]
118,59 unequal: No Solution
Exploring Operation: 65-53=12, Resulting Numbers: [12]
12,59 unequal: No Solution
Moving to Node #0,1,3
Current State: 59:[34, 84], Operations: ['38-4=34', '53+31=84']
Exploring Operation: 34+84=118, Resulting Numbers: [118]
118,59 unequal: No Solution
Exploring Operation: 34*84=2856, Resulting Numbers: [2856]
2856,59 unequal: No Solution
Exploring Operation: 84-34=50, Resulting Numbers: [50]
50,59 unequal: No Solution
Moving to Node #0,3,1
Current State: 59:[38, 88], Operations: ['4+53=57', '31+57=88']
Exploring Operation: 38+88=126, Resulting Numbers: [126]
126,59 unequal: No Solution
Exploring Operation: 88-38=50, Resulting Numbers: [50]
50,59 unequal: No Solution
Exploring Operation: 38*88=3344, Resulting Numbers: [3344]
3344,59 unequal: No Solution
Moving to Node #0,3,0
Current State: 59:[57, 7], Operations: ['4+53=57', '38-31=7']
Exploring Operation: 57+7=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Exploring Operation: 57*7=399, Resulting Numbers: [399]
399,59 unequal: No Solution
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,59 unequal: No Solution
Moving to Node #0,3,4
Current State: 59:[38, 26], Operations: ['4+53=57', '57-31=26']
Exploring Operation: 38*26=988, Resulting Numbers: [988]
988,59 unequal: No Solution
Exploring Operation: 38+26=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,59 unequal: No Solution
Moving to Node #0,1,4
Current State: 59:[31, 87], Operations: ['38-4=34', '53+34=87']
Exploring Operation: 87-31=56, Resulting Numbers: [56]
56,59 unequal: No Solution
Exploring Operation: 31*87=2697, Resulting Numbers: [2697]
2697,59 unequal: No Solution
Exploring Operation: 31+87=118, Resulting Numbers: [118]
118,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[34, 22], Operations: ['38-4=34', '53-31=22']
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,59 unequal: No Solution
Exploring Operation: 34+22=56, Resulting Numbers: [56]
56,59 unequal: No Solution
Exploring Operation: 34*22=748, Resulting Numbers: [748]
748,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[53, 3], Operations: ['38-4=34', '34-31=3']
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,59 unequal: No Solution
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,59 unequal: No Solution
Exploring Operation: 53*3=159, Resulting Numbers: [159]
159,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[31, 95], Operations: ['4+53=57', '38+57=95']
Exploring Operation: 31*95=2945, Resulting Numbers: [2945]
2945,59 unequal: No Solution
Exploring Operation: 95-31=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Exploring Operation: 31+95=126, Resulting Numbers: [126]
126,59 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
75,
53,
33,
36
] | 24 | [
"75-53=22",
"36*22=792",
"792/33=24"
] | Current State: 24:[75, 53, 33, 36], Operations: []
Exploring Operation: 75-53=22, Resulting Numbers: [33, 36, 22]
Generated Node #2: [33, 36, 22] from Operation: 75-53=22
Current State: 24:[33, 36, 22], Operations: ['75-53=22']
Exploring Operation: 36*22=792, Resulting Numbers: [33, 792]
Generated Node #3: [33, 792] from Operation: 36*22=792
Current State: 24:[33, 792], Operations: ['75-53=22', '36*22=792']
Exploring Operation: 792/33=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[75, 53, 33, 36], Operations: []
Exploring Operation: 75-53=22, Resulting Numbers: [33, 36, 22]
Generated Node #0,0: 24:[33, 36, 22] Operation: 75-53=22
Exploring Operation: 75-36=39, Resulting Numbers: [53, 33, 39]
Generated Node #0,1: 24:[53, 33, 39] Operation: 75-36=39
Exploring Operation: 53-36=17, Resulting Numbers: [75, 33, 17]
Generated Node #0,2: 24:[75, 33, 17] Operation: 53-36=17
Exploring Operation: 53-33=20, Resulting Numbers: [75, 36, 20]
Generated Node #0,3: 24:[75, 36, 20] Operation: 53-33=20
Exploring Operation: 75-33=42, Resulting Numbers: [53, 36, 42]
Generated Node #0,4: 24:[53, 36, 42] Operation: 75-33=42
Moving to Node #0,0
Current State: 24:[33, 36, 22], Operations: ['75-53=22']
Exploring Operation: 33+22=55, Resulting Numbers: [36, 55]
Generated Node #0,0,0: 24:[36, 55] Operation: 33+22=55
Exploring Operation: 36-22=14, Resulting Numbers: [33, 14]
Generated Node #0,0,1: 24:[33, 14] Operation: 36-22=14
Exploring Operation: 36-33=3, Resulting Numbers: [22, 3]
Generated Node #0,0,2: 24:[22, 3] Operation: 36-33=3
Exploring Operation: 36+22=58, Resulting Numbers: [33, 58]
Generated Node #0,0,3: 24:[33, 58] Operation: 36+22=58
Exploring Operation: 33-22=11, Resulting Numbers: [36, 11]
Generated Node #0,0,4: 24:[36, 11] Operation: 33-22=11
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 24:[22, 3], Operations: ['75-53=22', '36-33=3']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,24 unequal: No Solution
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 24:[33, 14], Operations: ['75-53=22', '36-22=14']
Exploring Operation: 33*14=462, Resulting Numbers: [462]
462,24 unequal: No Solution
Exploring Operation: 33+14=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 24:[36, 11], Operations: ['75-53=22', '33-22=11']
Exploring Operation: 36+11=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 36*11=396, Resulting Numbers: [396]
396,24 unequal: No Solution
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[36, 55], Operations: ['75-53=22', '33+22=55']
Exploring Operation: 36*55=1980, Resulting Numbers: [1980]
1980,24 unequal: No Solution
Exploring Operation: 36+55=91, Resulting Numbers: [91]
91,24 unequal: No Solution
Exploring Operation: 55-36=19, Resulting Numbers: [19]
19,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 24:[33, 58], Operations: ['75-53=22', '36+22=58']
Exploring Operation: 33*58=1914, Resulting Numbers: [1914]
1914,24 unequal: No Solution
Exploring Operation: 33+58=91, Resulting Numbers: [91]
91,24 unequal: No Solution
Exploring Operation: 58-33=25, Resulting Numbers: [25]
25,24 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: 24:[53, 33, 39], Operations: ['75-36=39']
Exploring Operation: 53+39=92, Resulting Numbers: [33, 92]
Generated Node #0,1,0: 24:[33, 92] Operation: 53+39=92
Exploring Operation: 53-39=14, Resulting Numbers: [33, 14]
Generated Node #0,1,1: 24:[33, 14] Operation: 53-39=14
Exploring Operation: 53+33=86, Resulting Numbers: [39, 86]
Generated Node #0,1,2: 24:[39, 86] Operation: 53+33=86
Exploring Operation: 39-33=6, Resulting Numbers: [53, 6]
Generated Node #0,1,3: 24:[53, 6] Operation: 39-33=6
Exploring Operation: 53-33=20, Resulting Numbers: [39, 20]
Generated Node #0,1,4: 24:[39, 20] Operation: 53-33=20
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 24:[33, 14], Operations: ['75-36=39', '53-39=14']
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,24 unequal: No Solution
Exploring Operation: 33+14=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 33*14=462, Resulting Numbers: [462]
462,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 24:[39, 20], Operations: ['75-36=39', '53-33=20']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,24 unequal: No Solution
Exploring Operation: 39*20=780, Resulting Numbers: [780]
780,24 unequal: No Solution
Exploring Operation: 39+20=59, Resulting Numbers: [59]
59,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 24:[53, 6], Operations: ['75-36=39', '39-33=6']
Exploring Operation: 53*6=318, Resulting Numbers: [318]
318,24 unequal: No Solution
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 53+6=59, Resulting Numbers: [59]
59,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 24:[33, 92], Operations: ['75-36=39', '53+39=92']
Exploring Operation: 33*92=3036, Resulting Numbers: [3036]
3036,24 unequal: No Solution
Exploring Operation: 33+92=125, Resulting Numbers: [125]
125,24 unequal: No Solution
Exploring Operation: 92-33=59, Resulting Numbers: [59]
59,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 24:[39, 86], Operations: ['75-36=39', '53+33=86']
Exploring Operation: 86-39=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 39*86=3354, Resulting Numbers: [3354]
3354,24 unequal: No Solution
Exploring Operation: 39+86=125, Resulting Numbers: [125]
125,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 24:[53, 36, 42], Operations: ['75-33=42']
Exploring Operation: 42-36=6, Resulting Numbers: [53, 6]
Generated Node #0,4,0: 24:[53, 6] Operation: 42-36=6
Exploring Operation: 53+42=95, Resulting Numbers: [36, 95]
Generated Node #0,4,1: 24:[36, 95] Operation: 53+42=95
Exploring Operation: 53-36=17, Resulting Numbers: [42, 17]
Generated Node #0,4,2: 24:[42, 17] Operation: 53-36=17
Exploring Operation: 53+36=89, Resulting Numbers: [42, 89]
Generated Node #0,4,3: 24:[42, 89] Operation: 53+36=89
Exploring Operation: 53-42=11, Resulting Numbers: [36, 11]
Generated Node #0,4,4: 24:[36, 11] Operation: 53-42=11
Moving to Node #0,2
Current State: 24:[75, 33, 17], Operations: ['53-36=17']
Exploring Operation: 75-17=58, Resulting Numbers: [33, 58]
Generated Node #0,2,0: 24:[33, 58] Operation: 75-17=58
Exploring Operation: 33-17=16, Resulting Numbers: [75, 16]
Generated Node #0,2,1: 24:[75, 16] Operation: 33-17=16
Exploring Operation: 75+17=92, Resulting Numbers: [33, 92]
Generated Node #0,2,2: 24:[33, 92] Operation: 75+17=92
Exploring Operation: 75-33=42, Resulting Numbers: [17, 42]
Generated Node #0,2,3: 24:[17, 42] Operation: 75-33=42
Exploring Operation: 33+17=50, Resulting Numbers: [75, 50]
Generated Node #0,2,4: 24:[75, 50] Operation: 33+17=50
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 24:[17, 42], Operations: ['53-36=17', '75-33=42']
Exploring Operation: 17+42=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Exploring Operation: 17*42=714, Resulting Numbers: [714]
714,24 unequal: No Solution
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 24:[33, 58], Operations: ['53-36=17', '75-17=58']
Exploring Operation: 33+58=91, Resulting Numbers: [91]
91,24 unequal: No Solution
Exploring Operation: 58-33=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 33*58=1914, Resulting Numbers: [1914]
1914,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 24:[75, 16], Operations: ['53-36=17', '33-17=16']
Exploring Operation: 75+16=91, Resulting Numbers: [91]
91,24 unequal: No Solution
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Exploring Operation: 75*16=1200, Resulting Numbers: [1200]
1200,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 24:[33, 92], Operations: ['53-36=17', '75+17=92']
Exploring Operation: 33*92=3036, Resulting Numbers: [3036]
3036,24 unequal: No Solution
Exploring Operation: 33+92=125, Resulting Numbers: [125]
125,24 unequal: No Solution
Exploring Operation: 92-33=59, Resulting Numbers: [59]
59,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 24:[75, 50], Operations: ['53-36=17', '33+17=50']
Exploring Operation: 75+50=125, Resulting Numbers: [125]
125,24 unequal: No Solution
Exploring Operation: 75*50=3750, Resulting Numbers: [3750]
3750,24 unequal: No Solution
Exploring Operation: 75-50=25, Resulting Numbers: [25]
25,24 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: 24:[75, 36, 20], Operations: ['53-33=20']
Exploring Operation: 75-36=39, Resulting Numbers: [20, 39]
Generated Node #0,3,0: 24:[20, 39] Operation: 75-36=39
Exploring Operation: 36-20=16, Resulting Numbers: [75, 16]
Generated Node #0,3,1: 24:[75, 16] Operation: 36-20=16
Exploring Operation: 75-20=55, Resulting Numbers: [36, 55]
Generated Node #0,3,2: 24:[36, 55] Operation: 75-20=55
Exploring Operation: 75+20=95, Resulting Numbers: [36, 95]
Generated Node #0,3,3: 24:[36, 95] Operation: 75+20=95
Exploring Operation: 36+20=56, Resulting Numbers: [75, 56]
Generated Node #0,3,4: 24:[75, 56] Operation: 36+20=56
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 24:[20, 39], Operations: ['53-33=20', '75-36=39']
Exploring Operation: 20+39=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Exploring Operation: 20*39=780, Resulting Numbers: [780]
780,24 unequal: No Solution
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 24:[36, 55], Operations: ['53-33=20', '75-20=55']
Exploring Operation: 36+55=91, Resulting Numbers: [91]
91,24 unequal: No Solution
Exploring Operation: 55-36=19, Resulting Numbers: [19]
19,24 unequal: No Solution
Exploring Operation: 36*55=1980, Resulting Numbers: [1980]
1980,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 24:[75, 16], Operations: ['53-33=20', '36-20=16']
Exploring Operation: 75-16=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Exploring Operation: 75*16=1200, Resulting Numbers: [1200]
1200,24 unequal: No Solution
Exploring Operation: 75+16=91, Resulting Numbers: [91]
91,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 24:[36, 95], Operations: ['53-33=20', '75+20=95']
Exploring Operation: 36+95=131, Resulting Numbers: [131]
131,24 unequal: No Solution
Exploring Operation: 95-36=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Exploring Operation: 36*95=3420, Resulting Numbers: [3420]
3420,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 24:[75, 56], Operations: ['53-33=20', '36+20=56']
Exploring Operation: 75*56=4200, Resulting Numbers: [4200]
4200,24 unequal: No Solution
Exploring Operation: 75-56=19, Resulting Numbers: [19]
19,24 unequal: No Solution
Exploring Operation: 75+56=131, Resulting Numbers: [131]
131,24 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: 24:[36, 11], Operations: ['75-33=42', '53-42=11']
Exploring Operation: 36+11=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 36*11=396, Resulting Numbers: [396]
396,24 unequal: No Solution
Moving to Node #0,4,2
Current State: 24:[42, 17], Operations: ['75-33=42', '53-36=17']
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 42*17=714, Resulting Numbers: [714]
714,24 unequal: No Solution
Exploring Operation: 42+17=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Moving to Node #0,4,0
Current State: 24:[53, 6], Operations: ['75-33=42', '42-36=6']
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 53+6=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Exploring Operation: 53*6=318, Resulting Numbers: [318]
318,24 unequal: No Solution
Moving to Node #0,4,1
Current State: 24:[36, 95], Operations: ['75-33=42', '53+42=95']
Exploring Operation: 36+95=131, Resulting Numbers: [131]
131,24 unequal: No Solution
Exploring Operation: 36*95=3420, Resulting Numbers: [3420]
3420,24 unequal: No Solution
Exploring Operation: 95-36=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Moving to Node #0,4,3
Current State: 24:[42, 89], Operations: ['75-33=42', '53+36=89']
Exploring Operation: 89-42=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 42+89=131, Resulting Numbers: [131]
131,24 unequal: No Solution
Exploring Operation: 42*89=3738, Resulting Numbers: [3738]
3738,24 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
90,
15,
40,
27
] | 73 | [
"90/15=6",
"40+27=67",
"6+67=73"
] | Current State: 73:[90, 15, 40, 27], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [40, 27, 6]
Generated Node #2: [40, 27, 6] from Operation: 90/15=6
Current State: 73:[40, 27, 6], Operations: ['90/15=6']
Exploring Operation: 40+27=67, Resulting Numbers: [6, 67]
Generated Node #3: [6, 67] from Operation: 40+27=67
Current State: 73:[6, 67], Operations: ['90/15=6', '40+27=67']
Exploring Operation: 6+67=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[90, 15, 40, 27], Operations: []
Exploring Operation: 40+27=67, Resulting Numbers: [90, 15, 67]
Generated Node #0,0: 73:[90, 15, 67] Operation: 40+27=67
Exploring Operation: 90-27=63, Resulting Numbers: [15, 40, 63]
Generated Node #0,1: 73:[15, 40, 63] Operation: 90-27=63
Exploring Operation: 90-15=75, Resulting Numbers: [40, 27, 75]
Generated Node #0,2: 73:[40, 27, 75] Operation: 90-15=75
Exploring Operation: 15+40=55, Resulting Numbers: [90, 27, 55]
Generated Node #0,3: 73:[90, 27, 55] Operation: 15+40=55
Exploring Operation: 15+27=42, Resulting Numbers: [90, 40, 42]
Generated Node #0,4: 73:[90, 40, 42] Operation: 15+27=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[90, 15, 67], Operations: ['40+27=67']
Exploring Operation: 90-15=75, Resulting Numbers: [67, 75]
Generated Node #0,0,0: 73:[67, 75] Operation: 90-15=75
Exploring Operation: 15+67=82, Resulting Numbers: [90, 82]
Generated Node #0,0,1: 73:[90, 82] Operation: 15+67=82
Exploring Operation: 67-15=52, Resulting Numbers: [90, 52]
Generated Node #0,0,2: 73:[90, 52] Operation: 67-15=52
Exploring Operation: 90/15=6, Resulting Numbers: [67, 6]
Generated Node #0,0,3: 73:[67, 6] Operation: 90/15=6
Exploring Operation: 90+15=105, Resulting Numbers: [67, 105]
Generated Node #0,0,4: 73:[67, 105] Operation: 90+15=105
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[67, 75], Operations: ['40+27=67', '90-15=75']
Exploring Operation: 67+75=142, Resulting Numbers: [142]
142,73 unequal: No Solution
Exploring Operation: 67*75=5025, Resulting Numbers: [5025]
5025,73 unequal: No Solution
Exploring Operation: 75-67=8, Resulting Numbers: [8]
8,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 73:[90, 82], Operations: ['40+27=67', '15+67=82']
Exploring Operation: 90-82=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Exploring Operation: 90+82=172, Resulting Numbers: [172]
172,73 unequal: No Solution
Exploring Operation: 90*82=7380, Resulting Numbers: [7380]
7380,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 73:[90, 52], Operations: ['40+27=67', '67-15=52']
Exploring Operation: 90-52=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 90*52=4680, Resulting Numbers: [4680]
4680,73 unequal: No Solution
Exploring Operation: 90+52=142, Resulting Numbers: [142]
142,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 73:[67, 105], Operations: ['40+27=67', '90+15=105']
Exploring Operation: 105-67=38, Resulting Numbers: [38]
38,73 unequal: No Solution
Exploring Operation: 67*105=7035, Resulting Numbers: [7035]
7035,73 unequal: No Solution
Exploring Operation: 67+105=172, Resulting Numbers: [172]
172,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 73:[67, 6], Operations: ['40+27=67', '90/15=6']
Exploring Operation: 67-6=61, Resulting Numbers: [61]
61,73 unequal: No Solution
Exploring Operation: 67+6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[90, 15, 40, 27], Operations: []
Exploring Operation: 40+27=67, Resulting Numbers: [90, 15, 67]
Generated Node #0,0: 73:[90, 15, 67] Operation: 40+27=67
Moving to Node #0,0
Current State: 73:[90, 15, 67], Operations: ['40+27=67']
Exploring Operation: 90/15=6, Resulting Numbers: [67, 6]
Generated Node #0,0,3: 73:[67, 6] Operation: 90/15=6
Moving to Node #0,0,3
Current State: 73:[67, 6], Operations: ['40+27=67', '90/15=6']
Exploring Operation: 67+6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.975694 | hs_5 | sum_heuristic |
[
37,
78,
3,
12
] | 78 | [
"3*12=36",
"37-36=1",
"78*1=78"
] | Current State: 78:[37, 78, 3, 12], Operations: []
Exploring Operation: 3*12=36, Resulting Numbers: [37, 78, 36]
Generated Node #2: [37, 78, 36] from Operation: 3*12=36
Current State: 78:[37, 78, 36], Operations: ['3*12=36']
Exploring Operation: 37-36=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 37-36=1
Current State: 78:[78, 1], Operations: ['3*12=36', '37-36=1']
Exploring Operation: 78*1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[37, 78, 3, 12], Operations: []
Exploring Operation: 37+3=40, Resulting Numbers: [78, 12, 40]
Generated Node #0,0: 78:[78, 12, 40] Operation: 37+3=40
Exploring Operation: 78/3=26, Resulting Numbers: [37, 12, 26]
Generated Node #0,1: 78:[37, 12, 26] Operation: 78/3=26
Exploring Operation: 37-12=25, Resulting Numbers: [78, 3, 25]
Generated Node #0,2: 78:[78, 3, 25] Operation: 37-12=25
Exploring Operation: 78-37=41, Resulting Numbers: [3, 12, 41]
Generated Node #0,3: 78:[3, 12, 41] Operation: 78-37=41
Moving to Node #0,2
Current State: 78:[78, 3, 25], Operations: ['37-12=25']
Exploring Operation: 3*25=75, Resulting Numbers: [78, 75]
Generated Node #0,2,0: 78:[78, 75] Operation: 3*25=75
Exploring Operation: 78/3=26, Resulting Numbers: [25, 26]
Generated Node #0,2,1: 78:[25, 26] Operation: 78/3=26
Exploring Operation: 3+25=28, Resulting Numbers: [78, 28]
Generated Node #0,2,2: 78:[78, 28] Operation: 3+25=28
Exploring Operation: 78+3=81, Resulting Numbers: [25, 81]
Generated Node #0,2,3: 78:[25, 81] Operation: 78+3=81
Moving to Node #0,0
Current State: 78:[78, 12, 40], Operations: ['37+3=40']
Exploring Operation: 78-12=66, Resulting Numbers: [40, 66]
Generated Node #0,0,0: 78:[40, 66] Operation: 78-12=66
Exploring Operation: 40-12=28, Resulting Numbers: [78, 28]
Generated Node #0,0,1: 78:[78, 28] Operation: 40-12=28
Exploring Operation: 78+12=90, Resulting Numbers: [40, 90]
Generated Node #0,0,2: 78:[40, 90] Operation: 78+12=90
Exploring Operation: 78-40=38, Resulting Numbers: [12, 38]
Generated Node #0,0,3: 78:[12, 38] Operation: 78-40=38
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 78:[78, 28], Operations: ['37+3=40', '40-12=28']
Exploring Operation: 78-28=50, Resulting Numbers: [50]
50,78 unequal: No Solution
Exploring Operation: 78*28=2184, Resulting Numbers: [2184]
2184,78 unequal: No Solution
Exploring Operation: 78+28=106, Resulting Numbers: [106]
106,78 unequal: No Solution
No 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: 78:[12, 38], Operations: ['37+3=40', '78-40=38']
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,78 unequal: No Solution
Exploring Operation: 12*38=456, Resulting Numbers: [456]
456,78 unequal: No Solution
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,78 unequal: No Solution
No 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: 78:[40, 66], Operations: ['37+3=40', '78-12=66']
Exploring Operation: 40*66=2640, Resulting Numbers: [2640]
2640,78 unequal: No Solution
Exploring Operation: 66-40=26, Resulting Numbers: [26]
26,78 unequal: No Solution
Exploring Operation: 40+66=106, Resulting Numbers: [106]
106,78 unequal: No Solution
No 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: 78:[40, 90], Operations: ['37+3=40', '78+12=90']
Exploring Operation: 40+90=130, Resulting Numbers: [130]
130,78 unequal: No Solution
Exploring Operation: 90-40=50, Resulting Numbers: [50]
50,78 unequal: No Solution
Exploring Operation: 40*90=3600, Resulting Numbers: [3600]
3600,78 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: 78:[3, 12, 41], Operations: ['78-37=41']
Exploring Operation: 12/3=4, Resulting Numbers: [41, 4]
Generated Node #0,3,0: 78:[41, 4] Operation: 12/3=4
Exploring Operation: 41-3=38, Resulting Numbers: [12, 38]
Generated Node #0,3,1: 78:[12, 38] Operation: 41-3=38
Exploring Operation: 41-12=29, Resulting Numbers: [3, 29]
Generated Node #0,3,2: 78:[3, 29] Operation: 41-12=29
Exploring Operation: 3+12=15, Resulting Numbers: [41, 15]
Generated Node #0,3,3: 78:[41, 15] Operation: 3+12=15
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 78:[12, 38], Operations: ['78-37=41', '41-3=38']
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,78 unequal: No Solution
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,78 unequal: No Solution
Exploring Operation: 12*38=456, Resulting Numbers: [456]
456,78 unequal: No Solution
No 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: 78:[41, 4], Operations: ['78-37=41', '12/3=4']
Exploring Operation: 41*4=164, Resulting Numbers: [164]
164,78 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,78 unequal: No Solution
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,78 unequal: No Solution
No 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: 78:[3, 29], Operations: ['78-37=41', '41-12=29']
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,78 unequal: No Solution
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,78 unequal: No Solution
No 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: 78:[41, 15], Operations: ['78-37=41', '3+12=15']
Exploring Operation: 41*15=615, Resulting Numbers: [615]
615,78 unequal: No Solution
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,78 unequal: No Solution
Exploring Operation: 41+15=56, Resulting Numbers: [56]
56,78 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: 78:[37, 12, 26], Operations: ['78/3=26']
Exploring Operation: 37-26=11, Resulting Numbers: [12, 11]
Generated Node #0,1,0: 78:[12, 11] Operation: 37-26=11
Exploring Operation: 26-12=14, Resulting Numbers: [37, 14]
Generated Node #0,1,1: 78:[37, 14] Operation: 26-12=14
Exploring Operation: 37-12=25, Resulting Numbers: [26, 25]
Generated Node #0,1,2: 78:[26, 25] Operation: 37-12=25
Exploring Operation: 12+26=38, Resulting Numbers: [37, 38]
Generated Node #0,1,3: 78:[37, 38] Operation: 12+26=38
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 78:[26, 25], Operations: ['78/3=26', '37-12=25']
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,78 unequal: No Solution
Exploring Operation: 26*25=650, Resulting Numbers: [650]
650,78 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,78 unequal: No Solution
No 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: 78:[12, 11], Operations: ['78/3=26', '37-26=11']
Exploring Operation: 12*11=132, Resulting Numbers: [132]
132,78 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,78 unequal: No Solution
No 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: 78:[37, 14], Operations: ['78/3=26', '26-12=14']
Exploring Operation: 37*14=518, Resulting Numbers: [518]
518,78 unequal: No Solution
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,78 unequal: No Solution
Exploring Operation: 37+14=51, Resulting Numbers: [51]
51,78 unequal: No Solution
No 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: 78:[37, 38], Operations: ['78/3=26', '12+26=38']
Exploring Operation: 37*38=1406, Resulting Numbers: [1406]
1406,78 unequal: No Solution
Exploring Operation: 37+38=75, Resulting Numbers: [75]
75,78 unequal: No Solution
Exploring Operation: 38-37=1, Resulting Numbers: [1]
1,78 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: 78:[25, 26], Operations: ['37-12=25', '78/3=26']
Exploring Operation: 25+26=51, Resulting Numbers: [51]
51,78 unequal: No Solution
Exploring Operation: 25*26=650, Resulting Numbers: [650]
650,78 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,78 unequal: No Solution
Moving to Node #0,2,2
Current State: 78:[78, 28], Operations: ['37-12=25', '3+25=28']
Exploring Operation: 78-28=50, Resulting Numbers: [50]
50,78 unequal: No Solution
Exploring Operation: 78*28=2184, Resulting Numbers: [2184]
2184,78 unequal: No Solution
Exploring Operation: 78+28=106, Resulting Numbers: [106]
106,78 unequal: No Solution
Moving to Node #0,2,0
Current State: 78:[78, 75], Operations: ['37-12=25', '3*25=75']
Exploring Operation: 78-75=3, Resulting Numbers: [3]
3,78 unequal: No Solution
Exploring Operation: 78+75=153, Resulting Numbers: [153]
153,78 unequal: No Solution
Exploring Operation: 78*75=5850, Resulting Numbers: [5850]
5850,78 unequal: No Solution
Moving to Node #0,2,3
Current State: 78:[25, 81], Operations: ['37-12=25', '78+3=81']
Exploring Operation: 25+81=106, Resulting Numbers: [106]
106,78 unequal: No Solution
Exploring Operation: 25*81=2025, Resulting Numbers: [2025]
2025,78 unequal: No Solution
Exploring Operation: 81-25=56, Resulting Numbers: [56]
56,78 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
2,
2,
21,
56
] | 98 | [
"56/2=28",
"21+28=49",
"2*49=98"
] | Current State: 98:[2, 2, 21, 56], Operations: []
Exploring Operation: 56/2=28, Resulting Numbers: [21, 28]
Generated Node #2: [21, 28] from Operation: 56/2=28
Current State: 98:[21, 28], Operations: ['56/2=28']
Exploring Operation: 21+28=49, Resulting Numbers: [49]
49,98 equal: Goal Reached
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[2, 2, 21, 56], Operations: []
Exploring Operation: 56-2=54, Resulting Numbers: [2, 21, 54]
Generated Node #0,0: 98:[2, 21, 54] Operation: 56-2=54
Exploring Operation: 21-2=19, Resulting Numbers: [2, 56, 19]
Generated Node #0,1: 98:[2, 56, 19] Operation: 21-2=19
Exploring Operation: 21-2=19, Resulting Numbers: [2, 56, 19]
Generated Node #0,2: 98:[2, 56, 19] Operation: 21-2=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[2, 21, 54], Operations: ['56-2=54']
Exploring Operation: 21-2=19, Resulting Numbers: [54, 19]
Generated Node #0,0,0: 98:[54, 19] Operation: 21-2=19
Exploring Operation: 2*21=42, Resulting Numbers: [54, 42]
Generated Node #0,0,1: 98:[54, 42] Operation: 2*21=42
Exploring Operation: 54-2=52, Resulting Numbers: [21, 52]
Generated Node #0,0,2: 98:[21, 52] Operation: 54-2=52
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[54, 19], Operations: ['56-2=54', '21-2=19']
Exploring Operation: 54+19=73, Resulting Numbers: [73]
73,98 unequal: No Solution
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,98 unequal: No Solution
Exploring Operation: 54*19=1026, Resulting Numbers: [1026]
1026,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 98:[21, 52], Operations: ['56-2=54', '54-2=52']
Exploring Operation: 21*52=1092, Resulting Numbers: [1092]
1092,98 unequal: No Solution
Exploring Operation: 21+52=73, Resulting Numbers: [73]
73,98 unequal: No Solution
Exploring Operation: 52-21=31, Resulting Numbers: [31]
31,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 98:[54, 42], Operations: ['56-2=54', '2*21=42']
Exploring Operation: 54*42=2268, Resulting Numbers: [2268]
2268,98 unequal: No Solution
Exploring Operation: 54+42=96, Resulting Numbers: [96]
96,98 unequal: No Solution
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[2, 56, 19], Operations: ['21-2=19']
Exploring Operation: 56-19=37, Resulting Numbers: [2, 37]
Generated Node #0,1,0: 98:[2, 37] Operation: 56-19=37
Exploring Operation: 19-2=17, Resulting Numbers: [56, 17]
Generated Node #0,1,1: 98:[56, 17] Operation: 19-2=17
Exploring Operation: 56-2=54, Resulting Numbers: [19, 54]
Generated Node #0,1,2: 98:[19, 54] Operation: 56-2=54
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 98:[56, 17], Operations: ['21-2=19', '19-2=17']
Exploring Operation: 56+17=73, Resulting Numbers: [73]
73,98 unequal: No Solution
Exploring Operation: 56*17=952, Resulting Numbers: [952]
952,98 unequal: No Solution
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 98:[19, 54], Operations: ['21-2=19', '56-2=54']
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,98 unequal: No Solution
Exploring Operation: 19*54=1026, Resulting Numbers: [1026]
1026,98 unequal: No Solution
Exploring Operation: 19+54=73, Resulting Numbers: [73]
73,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 98:[2, 37], Operations: ['21-2=19', '56-19=37']
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,98 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,98 unequal: No Solution
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 98:[2, 56, 19], Operations: ['21-2=19']
Exploring Operation: 56-2=54, Resulting Numbers: [19, 54]
Generated Node #0,2,0: 98:[19, 54] Operation: 56-2=54
Exploring Operation: 19-2=17, Resulting Numbers: [56, 17]
Generated Node #0,2,1: 98:[56, 17] Operation: 19-2=17
Exploring Operation: 56-19=37, Resulting Numbers: [2, 37]
Generated Node #0,2,2: 98:[2, 37] Operation: 56-19=37
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 98:[19, 54], Operations: ['21-2=19', '56-2=54']
Exploring Operation: 19+54=73, Resulting Numbers: [73]
73,98 unequal: No Solution
Exploring Operation: 19*54=1026, Resulting Numbers: [1026]
1026,98 unequal: No Solution
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 98:[56, 17], Operations: ['21-2=19', '19-2=17']
Exploring Operation: 56*17=952, Resulting Numbers: [952]
952,98 unequal: No Solution
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,98 unequal: No Solution
Exploring Operation: 56+17=73, Resulting Numbers: [73]
73,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 98:[2, 37], Operations: ['21-2=19', '56-19=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,98 unequal: No Solution
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,98 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,98 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_3 | sum_heuristic |
[
30,
46,
47,
43
] | 72 | [
"30+46=76",
"47-43=4",
"76-4=72"
] | Current State: 72:[30, 46, 47, 43], Operations: []
Exploring Operation: 30+46=76, Resulting Numbers: [47, 43, 76]
Generated Node #2: [47, 43, 76] from Operation: 30+46=76
Current State: 72:[47, 43, 76], Operations: ['30+46=76']
Exploring Operation: 47-43=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 47-43=4
Current State: 72:[76, 4], Operations: ['30+46=76', '47-43=4']
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[30, 46, 47, 43], Operations: []
Exploring Operation: 47-43=4, Resulting Numbers: [30, 46, 4]
Generated Node #0,0: 72:[30, 46, 4] Operation: 47-43=4
Exploring Operation: 46-43=3, Resulting Numbers: [30, 47, 3]
Generated Node #0,1: 72:[30, 47, 3] Operation: 46-43=3
Exploring Operation: 47-46=1, Resulting Numbers: [30, 43, 1]
Generated Node #0,2: 72:[30, 43, 1] Operation: 47-46=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 72:[30, 43, 1], Operations: ['47-46=1']
Exploring Operation: 43-30=13, Resulting Numbers: [1, 13]
Generated Node #0,2,0: 72:[1, 13] Operation: 43-30=13
Exploring Operation: 30+43=73, Resulting Numbers: [1, 73]
Generated Node #0,2,1: 72:[1, 73] Operation: 30+43=73
Exploring Operation: 30+1=31, Resulting Numbers: [43, 31]
Generated Node #0,2,2: 72:[43, 31] Operation: 30+1=31
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 72:[1, 13], Operations: ['47-46=1', '43-30=13']
Exploring Operation: 1*13=13, Resulting Numbers: [13]
13,72 unequal: No Solution
Exploring Operation: 13-1=12, Resulting Numbers: [12]
12,72 unequal: No Solution
Exploring Operation: 13/1=13, Resulting Numbers: [13]
13,72 unequal: No Solution
No 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: 72:[1, 73], Operations: ['47-46=1', '30+43=73']
Exploring Operation: 1*73=73, Resulting Numbers: [73]
73,72 unequal: No Solution
Exploring Operation: 73/1=73, Resulting Numbers: [73]
73,72 unequal: No Solution
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[30, 46, 47, 43], Operations: []
Exploring Operation: 47-46=1, Resulting Numbers: [30, 43, 1]
Generated Node #0,2: 72:[30, 43, 1] Operation: 47-46=1
Moving to Node #0,2
Current State: 72:[30, 43, 1], Operations: ['47-46=1']
Exploring Operation: 30+43=73, Resulting Numbers: [1, 73]
Generated Node #0,2,1: 72:[1, 73] Operation: 30+43=73
Moving to Node #0,2,1
Current State: 72:[1, 73], Operations: ['47-46=1', '30+43=73']
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
69,
5,
31,
47
] | 45 | [
"69-31=38",
"47-38=9",
"5*9=45"
] | Current State: 45:[69, 5, 31, 47], Operations: []
Exploring Operation: 69-31=38, Resulting Numbers: [5, 47, 38]
Generated Node #2: [5, 47, 38] from Operation: 69-31=38
Current State: 45:[5, 47, 38], Operations: ['69-31=38']
Exploring Operation: 47-38=9, Resulting Numbers: [5, 9]
Generated Node #3: [5, 9] from Operation: 47-38=9
Current State: 45:[5, 9], Operations: ['69-31=38', '47-38=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[69, 5, 31, 47], Operations: []
Exploring Operation: 69-47=22, Resulting Numbers: [5, 31, 22]
Generated Node #0,0: 45:[5, 31, 22] Operation: 69-47=22
Exploring Operation: 47-31=16, Resulting Numbers: [69, 5, 16]
Generated Node #0,1: 45:[69, 5, 16] Operation: 47-31=16
Exploring Operation: 69-31=38, Resulting Numbers: [5, 47, 38]
Generated Node #0,2: 45:[5, 47, 38] Operation: 69-31=38
Start Sub Search at level 1: Moving to Node #0,2
Current State: 45:[5, 47, 38], Operations: ['69-31=38']
Exploring Operation: 47-38=9, Resulting Numbers: [5, 9]
Generated Node #0,2,0: 45:[5, 9] Operation: 47-38=9
Exploring Operation: 5+38=43, Resulting Numbers: [47, 43]
Generated Node #0,2,1: 45:[47, 43] Operation: 5+38=43
Exploring Operation: 47-5=42, Resulting Numbers: [38, 42]
Generated Node #0,2,2: 45:[38, 42] Operation: 47-5=42
Moving to Node #0,2,0
Current State: 45:[5, 9], Operations: ['69-31=38', '47-38=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,45 unequal: No Solution
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[69, 5, 31, 47], Operations: []
Exploring Operation: 69-31=38, Resulting Numbers: [5, 47, 38]
Generated Node #0,2: 45:[5, 47, 38] Operation: 69-31=38
Moving to Node #0,2
Current State: 45:[5, 47, 38], Operations: ['69-31=38']
Exploring Operation: 47-38=9, Resulting Numbers: [5, 9]
Generated Node #0,2,0: 45:[5, 9] Operation: 47-38=9
Moving to Node #0,2,0
Current State: 45:[5, 9], Operations: ['69-31=38', '47-38=9']
Exploring Operation: 5*9=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
56,
83,
53,
79
] | 25 | [
"56*79=4424",
"83*53=4399",
"4424-4399=25"
] | Current State: 25:[56, 83, 53, 79], Operations: []
Exploring Operation: 56*79=4424, Resulting Numbers: [83, 53, 4424]
Generated Node #2: [83, 53, 4424] from Operation: 56*79=4424
Current State: 25:[83, 53, 4424], Operations: ['56*79=4424']
Exploring Operation: 83*53=4399, Resulting Numbers: [4424, 4399]
Generated Node #3: [4424, 4399] from Operation: 83*53=4399
Current State: 25:[4424, 4399], Operations: ['56*79=4424', '83*53=4399']
Exploring Operation: 4424-4399=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[56, 83, 53, 79], Operations: []
Exploring Operation: 83-56=27, Resulting Numbers: [53, 79, 27]
Generated Node #0,0: 25:[53, 79, 27] Operation: 83-56=27
Exploring Operation: 83-79=4, Resulting Numbers: [56, 53, 4]
Generated Node #0,1: 25:[56, 53, 4] Operation: 83-79=4
Exploring Operation: 79-56=23, Resulting Numbers: [83, 53, 23]
Generated Node #0,2: 25:[83, 53, 23] Operation: 79-56=23
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[56, 53, 4], Operations: ['83-79=4']
Exploring Operation: 56/4=14, Resulting Numbers: [53, 14]
Generated Node #0,1,0: 25:[53, 14] Operation: 56/4=14
Exploring Operation: 56-4=52, Resulting Numbers: [53, 52]
Generated Node #0,1,1: 25:[53, 52] Operation: 56-4=52
Exploring Operation: 56-53=3, Resulting Numbers: [4, 3]
Generated Node #0,1,2: 25:[4, 3] Operation: 56-53=3
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 25:[4, 3], Operations: ['83-79=4', '56-53=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,25 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 25:[53, 14], Operations: ['83-79=4', '56/4=14']
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,25 unequal: No Solution
Exploring Operation: 53*14=742, Resulting Numbers: [742]
742,25 unequal: No Solution
Exploring Operation: 53+14=67, Resulting Numbers: [67]
67,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 25:[53, 52], Operations: ['83-79=4', '56-4=52']
Exploring Operation: 53+52=105, Resulting Numbers: [105]
105,25 unequal: No Solution
Exploring Operation: 53-52=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 53*52=2756, Resulting Numbers: [2756]
2756,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[53, 79, 27], Operations: ['83-56=27']
Exploring Operation: 79-53=26, Resulting Numbers: [27, 26]
Generated Node #0,0,0: 25:[27, 26] Operation: 79-53=26
Exploring Operation: 53-27=26, Resulting Numbers: [79, 26]
Generated Node #0,0,1: 25:[79, 26] Operation: 53-27=26
Exploring Operation: 79-27=52, Resulting Numbers: [53, 52]
Generated Node #0,0,2: 25:[53, 52] Operation: 79-27=52
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 25:[27, 26], Operations: ['83-56=27', '79-53=26']
Exploring Operation: 27*26=702, Resulting Numbers: [702]
702,25 unequal: No Solution
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 27+26=53, Resulting Numbers: [53]
53,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 25:[79, 26], Operations: ['83-56=27', '53-27=26']
Exploring Operation: 79-26=53, Resulting Numbers: [53]
53,25 unequal: No Solution
Exploring Operation: 79*26=2054, Resulting Numbers: [2054]
2054,25 unequal: No Solution
Exploring Operation: 79+26=105, Resulting Numbers: [105]
105,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 25:[53, 52], Operations: ['83-56=27', '79-27=52']
Exploring Operation: 53*52=2756, Resulting Numbers: [2756]
2756,25 unequal: No Solution
Exploring Operation: 53-52=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 53+52=105, Resulting Numbers: [105]
105,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[83, 53, 23], Operations: ['79-56=23']
Exploring Operation: 83-23=60, Resulting Numbers: [53, 60]
Generated Node #0,2,0: 25:[53, 60] Operation: 83-23=60
Exploring Operation: 53-23=30, Resulting Numbers: [83, 30]
Generated Node #0,2,1: 25:[83, 30] Operation: 53-23=30
Exploring Operation: 83-53=30, Resulting Numbers: [23, 30]
Generated Node #0,2,2: 25:[23, 30] Operation: 83-53=30
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 25:[23, 30], Operations: ['79-56=23', '83-53=30']
Exploring Operation: 23+30=53, Resulting Numbers: [53]
53,25 unequal: No Solution
Exploring Operation: 30-23=7, Resulting Numbers: [7]
7,25 unequal: No Solution
Exploring Operation: 23*30=690, Resulting Numbers: [690]
690,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 25:[53, 60], Operations: ['79-56=23', '83-23=60']
Exploring Operation: 53*60=3180, Resulting Numbers: [3180]
3180,25 unequal: No Solution
Exploring Operation: 60-53=7, Resulting Numbers: [7]
7,25 unequal: No Solution
Exploring Operation: 53+60=113, Resulting Numbers: [113]
113,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 25:[83, 30], Operations: ['79-56=23', '53-23=30']
Exploring Operation: 83+30=113, Resulting Numbers: [113]
113,25 unequal: No Solution
Exploring Operation: 83*30=2490, Resulting Numbers: [2490]
2490,25 unequal: No Solution
Exploring Operation: 83-30=53, Resulting Numbers: [53]
53,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
67,
68,
13,
68
] | 53 | [
"67-13=54",
"68/68=1",
"54-1=53"
] | Current State: 53:[67, 68, 13, 68], Operations: []
Exploring Operation: 67-13=54, Resulting Numbers: [68, 68, 54]
Generated Node #2: [68, 68, 54] from Operation: 67-13=54
Current State: 53:[68, 68, 54], Operations: ['67-13=54']
Exploring Operation: 68/68=1, Resulting Numbers: [54, 1]
Generated Node #3: [54, 1] from Operation: 68/68=1
Current State: 53:[54, 1], Operations: ['67-13=54', '68/68=1']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[67, 68, 13, 68], Operations: []
Exploring Operation: 67-13=54, Resulting Numbers: [68, 68, 54]
Generated Node #0,0: 53:[68, 68, 54] Operation: 67-13=54
Moving to Node #0,0
Current State: 53:[68, 68, 54], Operations: ['67-13=54']
Exploring Operation: 68/68=1, Resulting Numbers: [54, 1]
Generated Node #0,0,0: 53:[54, 1] Operation: 68/68=1
Moving to Node #0,0,0
Current State: 53:[54, 1], Operations: ['67-13=54', '68/68=1']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[67, 68, 13, 68], Operations: []
Exploring Operation: 67-13=54, Resulting Numbers: [68, 68, 54]
Generated Node #0,0: 53:[68, 68, 54] Operation: 67-13=54
Moving to Node #0,0
Current State: 53:[68, 68, 54], Operations: ['67-13=54']
Exploring Operation: 68/68=1, Resulting Numbers: [54, 1]
Generated Node #0,0,0: 53:[54, 1] Operation: 68/68=1
Moving to Node #0,0,0
Current State: 53:[54, 1], Operations: ['67-13=54', '68/68=1']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
66,
63,
25,
43
] | 32 | [
"66-63=3",
"25*3=75",
"75-43=32"
] | Current State: 32:[66, 63, 25, 43], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [25, 43, 3]
Generated Node #2: [25, 43, 3] from Operation: 66-63=3
Current State: 32:[25, 43, 3], Operations: ['66-63=3']
Exploring Operation: 25*3=75, Resulting Numbers: [43, 75]
Generated Node #3: [43, 75] from Operation: 25*3=75
Current State: 32:[43, 75], Operations: ['66-63=3', '25*3=75']
Exploring Operation: 75-43=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[66, 63, 25, 43], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [25, 43, 3]
Generated Node #0,0: 32:[25, 43, 3] Operation: 66-63=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[25, 43, 3], Operations: ['66-63=3']
Exploring Operation: 43-25=18, Resulting Numbers: [3, 18]
Generated Node #0,0,0: 32:[3, 18] Operation: 43-25=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 32:[3, 18], Operations: ['66-63=3', '43-25=18']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,32 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 |
[
30,
24,
33,
75
] | 83 | [
"33-30=3",
"24/3=8",
"75+8=83"
] | Current State: 83:[30, 24, 33, 75], Operations: []
Exploring Operation: 33-30=3, Resulting Numbers: [24, 75, 3]
Generated Node #2: [24, 75, 3] from Operation: 33-30=3
Current State: 83:[24, 75, 3], Operations: ['33-30=3']
Exploring Operation: 24/3=8, Resulting Numbers: [75, 8]
Generated Node #3: [75, 8] from Operation: 24/3=8
Current State: 83:[75, 8], Operations: ['33-30=3', '24/3=8']
Exploring Operation: 75+8=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[30, 24, 33, 75], Operations: []
Exploring Operation: 30+75=105, Resulting Numbers: [24, 33, 105]
Generated Node #0,0: 83:[24, 33, 105] Operation: 30+75=105
Exploring Operation: 24+33=57, Resulting Numbers: [30, 75, 57]
Generated Node #0,1: 83:[30, 75, 57] Operation: 24+33=57
Exploring Operation: 30+33=63, Resulting Numbers: [24, 75, 63]
Generated Node #0,2: 83:[24, 75, 63] Operation: 30+33=63
Exploring Operation: 30+24=54, Resulting Numbers: [33, 75, 54]
Generated Node #0,3: 83:[33, 75, 54] Operation: 30+24=54
Exploring Operation: 24+75=99, Resulting Numbers: [30, 33, 99]
Generated Node #0,4: 83:[30, 33, 99] Operation: 24+75=99
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[30, 75, 57], Operations: ['24+33=57']
Exploring Operation: 57-30=27, Resulting Numbers: [75, 27]
Generated Node #0,1,0: 83:[75, 27] Operation: 57-30=27
Exploring Operation: 75-30=45, Resulting Numbers: [57, 45]
Generated Node #0,1,1: 83:[57, 45] Operation: 75-30=45
Exploring Operation: 75+57=132, Resulting Numbers: [30, 132]
Generated Node #0,1,2: 83:[30, 132] Operation: 75+57=132
Exploring Operation: 30+57=87, Resulting Numbers: [75, 87]
Generated Node #0,1,3: 83:[75, 87] Operation: 30+57=87
Exploring Operation: 30+75=105, Resulting Numbers: [57, 105]
Generated Node #0,1,4: 83:[57, 105] Operation: 30+75=105
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 83:[75, 87], Operations: ['24+33=57', '30+57=87']
Exploring Operation: 87-75=12, Resulting Numbers: [12]
12,83 unequal: No Solution
Exploring Operation: 75*87=6525, Resulting Numbers: [6525]
6525,83 unequal: No Solution
Exploring Operation: 75+87=162, Resulting Numbers: [162]
162,83 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 #0,1,4
Current State: 83:[57, 105], Operations: ['24+33=57', '30+75=105']
Exploring Operation: 57+105=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 57*105=5985, Resulting Numbers: [5985]
5985,83 unequal: No Solution
Exploring Operation: 105-57=48, Resulting Numbers: [48]
48,83 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 #0,1,0
Current State: 83:[75, 27], Operations: ['24+33=57', '57-30=27']
Exploring Operation: 75+27=102, Resulting Numbers: [102]
102,83 unequal: No Solution
Exploring Operation: 75*27=2025, Resulting Numbers: [2025]
2025,83 unequal: No Solution
Exploring Operation: 75-27=48, Resulting Numbers: [48]
48,83 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 #0,1,1
Current State: 83:[57, 45], Operations: ['24+33=57', '75-30=45']
Exploring Operation: 57-45=12, Resulting Numbers: [12]
12,83 unequal: No Solution
Exploring Operation: 57+45=102, Resulting Numbers: [102]
102,83 unequal: No Solution
Exploring Operation: 57*45=2565, Resulting Numbers: [2565]
2565,83 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 #0,1,2
Current State: 83:[30, 132], Operations: ['24+33=57', '75+57=132']
Exploring Operation: 30*132=3960, Resulting Numbers: [3960]
3960,83 unequal: No Solution
Exploring Operation: 132-30=102, Resulting Numbers: [102]
102,83 unequal: No Solution
Exploring Operation: 30+132=162, Resulting Numbers: [162]
162,83 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 #0,2
Current State: 83:[24, 75, 63], Operations: ['30+33=63']
Exploring Operation: 75-24=51, Resulting Numbers: [63, 51]
Generated Node #0,2,0: 83:[63, 51] Operation: 75-24=51
Exploring Operation: 63-24=39, Resulting Numbers: [75, 39]
Generated Node #0,2,1: 83:[75, 39] Operation: 63-24=39
Exploring Operation: 24+63=87, Resulting Numbers: [75, 87]
Generated Node #0,2,2: 83:[75, 87] Operation: 24+63=87
Exploring Operation: 24+75=99, Resulting Numbers: [63, 99]
Generated Node #0,2,3: 83:[63, 99] Operation: 24+75=99
Exploring Operation: 75+63=138, Resulting Numbers: [24, 138]
Generated Node #0,2,4: 83:[24, 138] Operation: 75+63=138
Moving to Node #0,2,2
Current State: 83:[75, 87], Operations: ['30+33=63', '24+63=87']
Exploring Operation: 75+87=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 75*87=6525, Resulting Numbers: [6525]
6525,83 unequal: No Solution
Exploring Operation: 87-75=12, Resulting Numbers: [12]
12,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[63, 99], Operations: ['30+33=63', '24+75=99']
Exploring Operation: 63+99=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 99-63=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 63*99=6237, Resulting Numbers: [6237]
6237,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[63, 51], Operations: ['30+33=63', '75-24=51']
Exploring Operation: 63-51=12, Resulting Numbers: [12]
12,83 unequal: No Solution
Exploring Operation: 63+51=114, Resulting Numbers: [114]
114,83 unequal: No Solution
Exploring Operation: 63*51=3213, Resulting Numbers: [3213]
3213,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[75, 39], Operations: ['30+33=63', '63-24=39']
Exploring Operation: 75-39=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 75*39=2925, Resulting Numbers: [2925]
2925,83 unequal: No Solution
Exploring Operation: 75+39=114, Resulting Numbers: [114]
114,83 unequal: No Solution
Moving to Node #0,2,4
Current State: 83:[24, 138], Operations: ['30+33=63', '75+63=138']
Exploring Operation: 138-24=114, Resulting Numbers: [114]
114,83 unequal: No Solution
Exploring Operation: 24+138=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 24*138=3312, Resulting Numbers: [3312]
3312,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[33, 75, 54], Operations: ['30+24=54']
Exploring Operation: 54-33=21, Resulting Numbers: [75, 21]
Generated Node #0,3,0: 83:[75, 21] Operation: 54-33=21
Exploring Operation: 75+54=129, Resulting Numbers: [33, 129]
Generated Node #0,3,1: 83:[33, 129] Operation: 75+54=129
Exploring Operation: 33+75=108, Resulting Numbers: [54, 108]
Generated Node #0,3,2: 83:[54, 108] Operation: 33+75=108
Exploring Operation: 33+54=87, Resulting Numbers: [75, 87]
Generated Node #0,3,3: 83:[75, 87] Operation: 33+54=87
Exploring Operation: 75-33=42, Resulting Numbers: [54, 42]
Generated Node #0,3,4: 83:[54, 42] Operation: 75-33=42
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 83:[75, 87], Operations: ['30+24=54', '33+54=87']
Exploring Operation: 87-75=12, Resulting Numbers: [12]
12,83 unequal: No Solution
Exploring Operation: 75*87=6525, Resulting Numbers: [6525]
6525,83 unequal: No Solution
Exploring Operation: 75+87=162, Resulting Numbers: [162]
162,83 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 #0,3,2
Current State: 83:[54, 108], Operations: ['30+24=54', '33+75=108']
Exploring Operation: 108/54=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 108-54=54, Resulting Numbers: [54]
54,83 unequal: No Solution
Exploring Operation: 54+108=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 54*108=5832, Resulting Numbers: [5832]
5832,83 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:[75, 21], Operations: ['30+24=54', '54-33=21']
Exploring Operation: 75+21=96, Resulting Numbers: [96]
96,83 unequal: No Solution
Exploring Operation: 75*21=1575, Resulting Numbers: [1575]
1575,83 unequal: No Solution
Exploring Operation: 75-21=54, Resulting Numbers: [54]
54,83 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 #0,3,4
Current State: 83:[54, 42], Operations: ['30+24=54', '75-33=42']
Exploring Operation: 54*42=2268, Resulting Numbers: [2268]
2268,83 unequal: No Solution
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,83 unequal: No Solution
Exploring Operation: 54+42=96, Resulting Numbers: [96]
96,83 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 #0,3,1
Current State: 83:[33, 129], Operations: ['30+24=54', '75+54=129']
Exploring Operation: 33+129=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 129-33=96, Resulting Numbers: [96]
96,83 unequal: No Solution
Exploring Operation: 33*129=4257, Resulting Numbers: [4257]
4257,83 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 #0,4
Current State: 83:[30, 33, 99], Operations: ['24+75=99']
Exploring Operation: 30+33=63, Resulting Numbers: [99, 63]
Generated Node #0,4,0: 83:[99, 63] Operation: 30+33=63
Exploring Operation: 30+99=129, Resulting Numbers: [33, 129]
Generated Node #0,4,1: 83:[33, 129] Operation: 30+99=129
Exploring Operation: 33-30=3, Resulting Numbers: [99, 3]
Generated Node #0,4,2: 83:[99, 3] Operation: 33-30=3
Exploring Operation: 99-33=66, Resulting Numbers: [30, 66]
Generated Node #0,4,3: 83:[30, 66] Operation: 99-33=66
Exploring Operation: 99-30=69, Resulting Numbers: [33, 69]
Generated Node #0,4,4: 83:[33, 69] Operation: 99-30=69
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 83:[99, 63], Operations: ['24+75=99', '30+33=63']
Exploring Operation: 99*63=6237, Resulting Numbers: [6237]
6237,83 unequal: No Solution
Exploring Operation: 99-63=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 99+63=162, Resulting Numbers: [162]
162,83 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 #0,4,4
Current State: 83:[33, 69], Operations: ['24+75=99', '99-30=69']
Exploring Operation: 33+69=102, Resulting Numbers: [102]
102,83 unequal: No Solution
Exploring Operation: 33*69=2277, Resulting Numbers: [2277]
2277,83 unequal: No Solution
Exploring Operation: 69-33=36, Resulting Numbers: [36]
36,83 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 #0,4,3
Current State: 83:[30, 66], Operations: ['24+75=99', '99-33=66']
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 30+66=96, Resulting Numbers: [96]
96,83 unequal: No Solution
Exploring Operation: 30*66=1980, Resulting Numbers: [1980]
1980,83 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 #0,4,1
Current State: 83:[33, 129], Operations: ['24+75=99', '30+99=129']
Exploring Operation: 129-33=96, Resulting Numbers: [96]
96,83 unequal: No Solution
Exploring Operation: 33*129=4257, Resulting Numbers: [4257]
4257,83 unequal: No Solution
Exploring Operation: 33+129=162, Resulting Numbers: [162]
162,83 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 #0,4,2
Current State: 83:[99, 3], Operations: ['24+75=99', '33-30=3']
Exploring Operation: 99-3=96, Resulting Numbers: [96]
96,83 unequal: No Solution
Exploring Operation: 99*3=297, Resulting Numbers: [297]
297,83 unequal: No Solution
Exploring Operation: 99/3=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Exploring Operation: 99+3=102, Resulting Numbers: [102]
102,83 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 #0,0
Current State: 83:[24, 33, 105], Operations: ['30+75=105']
Exploring Operation: 105-33=72, Resulting Numbers: [24, 72]
Generated Node #0,0,0: 83:[24, 72] Operation: 105-33=72
Exploring Operation: 33-24=9, Resulting Numbers: [105, 9]
Generated Node #0,0,1: 83:[105, 9] Operation: 33-24=9
Exploring Operation: 105-24=81, Resulting Numbers: [33, 81]
Generated Node #0,0,2: 83:[33, 81] Operation: 105-24=81
Exploring Operation: 24+33=57, Resulting Numbers: [105, 57]
Generated Node #0,0,3: 83:[105, 57] Operation: 24+33=57
Exploring Operation: 24+105=129, Resulting Numbers: [33, 129]
Generated Node #0,0,4: 83:[33, 129] Operation: 24+105=129
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 83:[105, 57], Operations: ['30+75=105', '24+33=57']
Exploring Operation: 105*57=5985, Resulting Numbers: [5985]
5985,83 unequal: No Solution
Exploring Operation: 105+57=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 105-57=48, Resulting Numbers: [48]
48,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 83:[33, 81], Operations: ['30+75=105', '105-24=81']
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,83 unequal: No Solution
Exploring Operation: 33+81=114, Resulting Numbers: [114]
114,83 unequal: No Solution
Exploring Operation: 33*81=2673, Resulting Numbers: [2673]
2673,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[24, 72], Operations: ['30+75=105', '105-33=72']
Exploring Operation: 72-24=48, Resulting Numbers: [48]
48,83 unequal: No Solution
Exploring Operation: 24+72=96, Resulting Numbers: [96]
96,83 unequal: No Solution
Exploring Operation: 72/24=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 24*72=1728, Resulting Numbers: [1728]
1728,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[105, 9], Operations: ['30+75=105', '33-24=9']
Exploring Operation: 105+9=114, Resulting Numbers: [114]
114,83 unequal: No Solution
Exploring Operation: 105-9=96, Resulting Numbers: [96]
96,83 unequal: No Solution
Exploring Operation: 105*9=945, Resulting Numbers: [945]
945,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 83:[33, 129], Operations: ['30+75=105', '24+105=129']
Exploring Operation: 33+129=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 129-33=96, Resulting Numbers: [96]
96,83 unequal: No Solution
Exploring Operation: 33*129=4257, Resulting Numbers: [4257]
4257,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
2,
55,
90,
95
] | 100 | [
"55+90=145",
"145-95=50",
"2*50=100"
] | Current State: 100:[2, 55, 90, 95], Operations: []
Exploring Operation: 55+90=145, Resulting Numbers: [2, 95, 145]
Generated Node #2: [2, 95, 145] from Operation: 55+90=145
Current State: 100:[2, 95, 145], Operations: ['55+90=145']
Exploring Operation: 145-95=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 145-95=50
Current State: 100:[2, 50], Operations: ['55+90=145', '145-95=50']
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[2, 55, 90, 95], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [2, 55, 5]
Generated Node #0,0: 100:[2, 55, 5] Operation: 95-90=5
Exploring Operation: 2+90=92, Resulting Numbers: [55, 95, 92]
Generated Node #0,1: 100:[55, 95, 92] Operation: 2+90=92
Exploring Operation: 90/2=45, Resulting Numbers: [55, 95, 45]
Generated Node #0,2: 100:[55, 95, 45] Operation: 90/2=45
Exploring Operation: 55-2=53, Resulting Numbers: [90, 95, 53]
Generated Node #0,3: 100:[90, 95, 53] Operation: 55-2=53
Exploring Operation: 90-55=35, Resulting Numbers: [2, 95, 35]
Generated Node #0,4: 100:[2, 95, 35] Operation: 90-55=35
Moving to Node #0,0
Current State: 100:[2, 55, 5], Operations: ['95-90=5']
Exploring Operation: 55-5=50, Resulting Numbers: [2, 50]
Generated Node #0,0,0: 100:[2, 50] Operation: 55-5=50
Exploring Operation: 55-2=53, Resulting Numbers: [5, 53]
Generated Node #0,0,1: 100:[5, 53] Operation: 55-2=53
Exploring Operation: 55/5=11, Resulting Numbers: [2, 11]
Generated Node #0,0,2: 100:[2, 11] Operation: 55/5=11
Exploring Operation: 2*5=10, Resulting Numbers: [55, 10]
Generated Node #0,0,3: 100:[55, 10] Operation: 2*5=10
Exploring Operation: 5-2=3, Resulting Numbers: [55, 3]
Generated Node #0,0,4: 100:[55, 3] Operation: 5-2=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[2, 50], Operations: ['95-90=5', '55-5=50']
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,100 unequal: No Solution
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[2, 55, 90, 95], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [2, 55, 5]
Generated Node #0,0: 100:[2, 55, 5] Operation: 95-90=5
Moving to Node #0,0
Current State: 100:[2, 55, 5], Operations: ['95-90=5']
Exploring Operation: 55-5=50, Resulting Numbers: [2, 50]
Generated Node #0,0,0: 100:[2, 50] Operation: 55-5=50
Moving to Node #0,0,0
Current State: 100:[2, 50], Operations: ['95-90=5', '55-5=50']
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
64,
2,
4,
28
] | 88 | [
"64/4=16",
"28+16=44",
"2*44=88"
] | Current State: 88:[64, 2, 4, 28], Operations: []
Exploring Operation: 64/4=16, Resulting Numbers: [2, 28, 16]
Generated Node #2: [2, 28, 16] from Operation: 64/4=16
Current State: 88:[2, 28, 16], Operations: ['64/4=16']
Exploring Operation: 28+16=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 28+16=44
Current State: 88:[2, 44], Operations: ['64/4=16', '28+16=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[64, 2, 4, 28], Operations: []
Exploring Operation: 64/2=32, Resulting Numbers: [4, 28, 32]
Generated Node #0,0: 88:[4, 28, 32] Operation: 64/2=32
Exploring Operation: 28/4=7, Resulting Numbers: [64, 2, 7]
Generated Node #0,1: 88:[64, 2, 7] Operation: 28/4=7
Exploring Operation: 64-28=36, Resulting Numbers: [2, 4, 36]
Generated Node #0,2: 88:[2, 4, 36] Operation: 64-28=36
Exploring Operation: 64/4=16, Resulting Numbers: [2, 28, 16]
Generated Node #0,3: 88:[2, 28, 16] Operation: 64/4=16
Exploring Operation: 64+28=92, Resulting Numbers: [2, 4, 92]
Generated Node #0,4: 88:[2, 4, 92] Operation: 64+28=92
Start Sub Search at level 1: Moving to Node #0,4
Current State: 88:[2, 4, 92], Operations: ['64+28=92']
Exploring Operation: 2*4=8, Resulting Numbers: [92, 8]
Generated Node #0,4,0: 88:[92, 8] Operation: 2*4=8
Exploring Operation: 92/2=46, Resulting Numbers: [4, 46]
Generated Node #0,4,1: 88:[4, 46] Operation: 92/2=46
Exploring Operation: 92-2=90, Resulting Numbers: [4, 90]
Generated Node #0,4,2: 88:[4, 90] Operation: 92-2=90
Exploring Operation: 92-4=88, Resulting Numbers: [2, 88]
Generated Node #0,4,3: 88:[2, 88] Operation: 92-4=88
Exploring Operation: 92/4=23, Resulting Numbers: [2, 23]
Generated Node #0,4,4: 88:[2, 23] Operation: 92/4=23
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 88:[2, 88], Operations: ['64+28=92', '92-4=88']
Exploring Operation: 2*88=176, Resulting Numbers: [176]
176,88 unequal: No Solution
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,88 unequal: No Solution
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,88 unequal: No Solution
Exploring Operation: 2+88=90, Resulting Numbers: [90]
90,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 88:[2, 23], Operations: ['64+28=92', '92/4=23']
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,88 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,88 unequal: No Solution
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 88:[4, 46], Operations: ['64+28=92', '92/2=46']
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,88 unequal: No Solution
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,88 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 88:[4, 90], Operations: ['64+28=92', '92-2=90']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,88 unequal: No Solution
Exploring Operation: 4+90=94, Resulting Numbers: [94]
94,88 unequal: No Solution
Exploring Operation: 4*90=360, Resulting Numbers: [360]
360,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 88:[92, 8], Operations: ['64+28=92', '2*4=8']
Exploring Operation: 92-8=84, Resulting Numbers: [84]
84,88 unequal: No Solution
Exploring Operation: 92+8=100, Resulting Numbers: [100]
100,88 unequal: No Solution
Exploring Operation: 92*8=736, Resulting Numbers: [736]
736,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 88:[2, 4, 36], Operations: ['64-28=36']
Exploring Operation: 36/4=9, Resulting Numbers: [2, 9]
Generated Node #0,2,0: 88:[2, 9] Operation: 36/4=9
Exploring Operation: 4+36=40, Resulting Numbers: [2, 40]
Generated Node #0,2,1: 88:[2, 40] Operation: 4+36=40
Exploring Operation: 2*4=8, Resulting Numbers: [36, 8]
Generated Node #0,2,2: 88:[36, 8] Operation: 2*4=8
Exploring Operation: 36/2=18, Resulting Numbers: [4, 18]
Generated Node #0,2,3: 88:[4, 18] Operation: 36/2=18
Exploring Operation: 2+36=38, Resulting Numbers: [4, 38]
Generated Node #0,2,4: 88:[4, 38] Operation: 2+36=38
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 88:[2, 9], Operations: ['64-28=36', '36/4=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,88 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,88 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 88:[2, 40], Operations: ['64-28=36', '4+36=40']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,88 unequal: No Solution
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,88 unequal: No Solution
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,88 unequal: No Solution
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 88:[4, 18], Operations: ['64-28=36', '36/2=18']
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,88 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,88 unequal: No Solution
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 88:[4, 38], Operations: ['64-28=36', '2+36=38']
Exploring Operation: 4*38=152, Resulting Numbers: [152]
152,88 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,88 unequal: No Solution
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 88:[36, 8], Operations: ['64-28=36', '2*4=8']
Exploring Operation: 36+8=44, Resulting Numbers: [44]
44,88 unequal: No Solution
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,88 unequal: No Solution
Exploring Operation: 36*8=288, Resulting Numbers: [288]
288,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 88:[2, 28, 16], Operations: ['64/4=16']
Exploring Operation: 28/2=14, Resulting Numbers: [16, 14]
Generated Node #0,3,0: 88:[16, 14] Operation: 28/2=14
Exploring Operation: 28+16=44, Resulting Numbers: [2, 44]
Generated Node #0,3,1: 88:[2, 44] Operation: 28+16=44
Exploring Operation: 16/2=8, Resulting Numbers: [28, 8]
Generated Node #0,3,2: 88:[28, 8] Operation: 16/2=8
Exploring Operation: 28-16=12, Resulting Numbers: [2, 12]
Generated Node #0,3,3: 88:[2, 12] Operation: 28-16=12
Exploring Operation: 28-2=26, Resulting Numbers: [16, 26]
Generated Node #0,3,4: 88:[16, 26] Operation: 28-2=26
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 88:[2, 44], Operations: ['64/4=16', '28+16=44']
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,88 unequal: No Solution
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[64, 2, 4, 28], Operations: []
Exploring Operation: 64/4=16, Resulting Numbers: [2, 28, 16]
Generated Node #0,3: 88:[2, 28, 16] Operation: 64/4=16
Moving to Node #0,3
Current State: 88:[2, 28, 16], Operations: ['64/4=16']
Exploring Operation: 28+16=44, Resulting Numbers: [2, 44]
Generated Node #0,3,1: 88:[2, 44] Operation: 28+16=44
Moving to Node #0,3,1
Current State: 88:[2, 44], Operations: ['64/4=16', '28+16=44']
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.949653 | hs_5 | mult_heuristic |
[
9,
67,
11,
24
] | 19 | [
"11-9=2",
"24*2=48",
"67-48=19"
] | Current State: 19:[9, 67, 11, 24], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [67, 24, 2]
Generated Node #2: [67, 24, 2] from Operation: 11-9=2
Current State: 19:[67, 24, 2], Operations: ['11-9=2']
Exploring Operation: 24*2=48, Resulting Numbers: [67, 48]
Generated Node #3: [67, 48] from Operation: 24*2=48
Current State: 19:[67, 48], Operations: ['11-9=2', '24*2=48']
Exploring Operation: 67-48=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[9, 67, 11, 24], Operations: []
Exploring Operation: 67-24=43, Resulting Numbers: [9, 11, 43]
Generated Node #0,0: 19:[9, 11, 43] Operation: 67-24=43
Exploring Operation: 67-9=58, Resulting Numbers: [11, 24, 58]
Generated Node #0,1: 19:[11, 24, 58] Operation: 67-9=58
Exploring Operation: 9+11=20, Resulting Numbers: [67, 24, 20]
Generated Node #0,2: 19:[67, 24, 20] Operation: 9+11=20
Exploring Operation: 67-11=56, Resulting Numbers: [9, 24, 56]
Generated Node #0,3: 19:[9, 24, 56] Operation: 67-11=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[9, 11, 43], Operations: ['67-24=43']
Exploring Operation: 11-9=2, Resulting Numbers: [43, 2]
Generated Node #0,0,0: 19:[43, 2] Operation: 11-9=2
Exploring Operation: 9+11=20, Resulting Numbers: [43, 20]
Generated Node #0,0,1: 19:[43, 20] Operation: 9+11=20
Exploring Operation: 43-9=34, Resulting Numbers: [11, 34]
Generated Node #0,0,2: 19:[11, 34] Operation: 43-9=34
Exploring Operation: 43-11=32, Resulting Numbers: [9, 32]
Generated Node #0,0,3: 19:[9, 32] Operation: 43-11=32
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 19:[11, 34], Operations: ['67-24=43', '43-9=34']
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,19 unequal: No Solution
Exploring Operation: 11*34=374, Resulting Numbers: [374]
374,19 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 #0,0,3
Current State: 19:[9, 32], Operations: ['67-24=43', '43-11=32']
Exploring Operation: 9+32=41, Resulting Numbers: [41]
41,19 unequal: No Solution
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Exploring Operation: 9*32=288, Resulting Numbers: [288]
288,19 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 #0,0,1
Current State: 19:[43, 20], Operations: ['67-24=43', '9+11=20']
Exploring Operation: 43+20=63, Resulting Numbers: [63]
63,19 unequal: No Solution
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Exploring Operation: 43*20=860, Resulting Numbers: [860]
860,19 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 #0,0,0
Current State: 19:[43, 2], Operations: ['67-24=43', '11-9=2']
Exploring Operation: 43*2=86, Resulting Numbers: [86]
86,19 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,19 unequal: No Solution
Exploring Operation: 43+2=45, Resulting Numbers: [45]
45,19 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: 19:[11, 24, 58], Operations: ['67-9=58']
Exploring Operation: 24-11=13, Resulting Numbers: [58, 13]
Generated Node #0,1,0: 19:[58, 13] Operation: 24-11=13
Exploring Operation: 58-11=47, Resulting Numbers: [24, 47]
Generated Node #0,1,1: 19:[24, 47] Operation: 58-11=47
Exploring Operation: 11+24=35, Resulting Numbers: [58, 35]
Generated Node #0,1,2: 19:[58, 35] Operation: 11+24=35
Exploring Operation: 58-24=34, Resulting Numbers: [11, 34]
Generated Node #0,1,3: 19:[11, 34] Operation: 58-24=34
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 19:[11, 34], Operations: ['67-9=58', '58-24=34']
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Exploring Operation: 11*34=374, Resulting Numbers: [374]
374,19 unequal: No Solution
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,19 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 #0,1,1
Current State: 19:[24, 47], Operations: ['67-9=58', '58-11=47']
Exploring Operation: 24+47=71, Resulting Numbers: [71]
71,19 unequal: No Solution
Exploring Operation: 24*47=1128, Resulting Numbers: [1128]
1128,19 unequal: No Solution
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,19 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:[58, 13], Operations: ['67-9=58', '24-11=13']
Exploring Operation: 58+13=71, Resulting Numbers: [71]
71,19 unequal: No Solution
Exploring Operation: 58-13=45, Resulting Numbers: [45]
45,19 unequal: No Solution
Exploring Operation: 58*13=754, Resulting Numbers: [754]
754,19 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 #0,1,2
Current State: 19:[58, 35], Operations: ['67-9=58', '11+24=35']
Exploring Operation: 58*35=2030, Resulting Numbers: [2030]
2030,19 unequal: No Solution
Exploring Operation: 58-35=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Exploring Operation: 58+35=93, Resulting Numbers: [93]
93,19 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: 19:[9, 24, 56], Operations: ['67-11=56']
Exploring Operation: 9+24=33, Resulting Numbers: [56, 33]
Generated Node #0,3,0: 19:[56, 33] Operation: 9+24=33
Exploring Operation: 56-24=32, Resulting Numbers: [9, 32]
Generated Node #0,3,1: 19:[9, 32] Operation: 56-24=32
Exploring Operation: 24-9=15, Resulting Numbers: [56, 15]
Generated Node #0,3,2: 19:[56, 15] Operation: 24-9=15
Exploring Operation: 56-9=47, Resulting Numbers: [24, 47]
Generated Node #0,3,3: 19:[24, 47] Operation: 56-9=47
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 19:[9, 32], Operations: ['67-11=56', '56-24=32']
Exploring Operation: 9+32=41, Resulting Numbers: [41]
41,19 unequal: No Solution
Exploring Operation: 9*32=288, Resulting Numbers: [288]
288,19 unequal: No Solution
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,19 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 #0,3,3
Current State: 19:[24, 47], Operations: ['67-11=56', '56-9=47']
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Exploring Operation: 24+47=71, Resulting Numbers: [71]
71,19 unequal: No Solution
Exploring Operation: 24*47=1128, Resulting Numbers: [1128]
1128,19 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 #0,3,2
Current State: 19:[56, 15], Operations: ['67-11=56', '24-9=15']
Exploring Operation: 56-15=41, Resulting Numbers: [41]
41,19 unequal: No Solution
Exploring Operation: 56+15=71, Resulting Numbers: [71]
71,19 unequal: No Solution
Exploring Operation: 56*15=840, Resulting Numbers: [840]
840,19 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 #0,3,0
Current State: 19:[56, 33], Operations: ['67-11=56', '9+24=33']
Exploring Operation: 56+33=89, Resulting Numbers: [89]
89,19 unequal: No Solution
Exploring Operation: 56*33=1848, Resulting Numbers: [1848]
1848,19 unequal: No Solution
Exploring Operation: 56-33=23, Resulting Numbers: [23]
23,19 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: 19:[67, 24, 20], Operations: ['9+11=20']
Exploring Operation: 67-20=47, Resulting Numbers: [24, 47]
Generated Node #0,2,0: 19:[24, 47] Operation: 67-20=47
Exploring Operation: 24-20=4, Resulting Numbers: [67, 4]
Generated Node #0,2,1: 19:[67, 4] Operation: 24-20=4
Exploring Operation: 67-24=43, Resulting Numbers: [20, 43]
Generated Node #0,2,2: 19:[20, 43] Operation: 67-24=43
Exploring Operation: 67+24=91, Resulting Numbers: [20, 91]
Generated Node #0,2,3: 19:[20, 91] Operation: 67+24=91
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 19:[20, 43], Operations: ['9+11=20', '67-24=43']
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Exploring Operation: 20+43=63, Resulting Numbers: [63]
63,19 unequal: No Solution
Exploring Operation: 20*43=860, Resulting Numbers: [860]
860,19 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 #0,2,0
Current State: 19:[24, 47], Operations: ['9+11=20', '67-20=47']
Exploring Operation: 24+47=71, Resulting Numbers: [71]
71,19 unequal: No Solution
Exploring Operation: 24*47=1128, Resulting Numbers: [1128]
1128,19 unequal: No Solution
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,19 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 #0,2,1
Current State: 19:[67, 4], Operations: ['9+11=20', '24-20=4']
Exploring Operation: 67*4=268, Resulting Numbers: [268]
268,19 unequal: No Solution
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,19 unequal: No Solution
Exploring Operation: 67+4=71, Resulting Numbers: [71]
71,19 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 #0,2,3
Current State: 19:[20, 91], Operations: ['9+11=20', '67+24=91']
Exploring Operation: 20*91=1820, Resulting Numbers: [1820]
1820,19 unequal: No Solution
Exploring Operation: 20+91=111, Resulting Numbers: [111]
111,19 unequal: No Solution
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,19 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 |
[
62,
60,
34,
48
] | 12 | [
"62-60=2",
"48-34=14",
"14-2=12"
] | Current State: 12:[62, 60, 34, 48], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [34, 48, 2]
Generated Node #2: [34, 48, 2] from Operation: 62-60=2
Current State: 12:[34, 48, 2], Operations: ['62-60=2']
Exploring Operation: 48-34=14, Resulting Numbers: [2, 14]
Generated Node #3: [2, 14] from Operation: 48-34=14
Current State: 12:[2, 14], Operations: ['62-60=2', '48-34=14']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[62, 60, 34, 48], Operations: []
Exploring Operation: 62-48=14, Resulting Numbers: [60, 34, 14]
Generated Node #0,0: 12:[60, 34, 14] Operation: 62-48=14
Exploring Operation: 62-60=2, Resulting Numbers: [34, 48, 2]
Generated Node #0,1: 12:[34, 48, 2] Operation: 62-60=2
Moving to Node #0,1
Current State: 12:[34, 48, 2], Operations: ['62-60=2']
Exploring Operation: 48-34=14, Resulting Numbers: [2, 14]
Generated Node #0,1,0: 12:[2, 14] Operation: 48-34=14
Exploring Operation: 48/2=24, Resulting Numbers: [34, 24]
Generated Node #0,1,1: 12:[34, 24] Operation: 48/2=24
Moving to Node #0,0
Current State: 12:[60, 34, 14], Operations: ['62-48=14']
Exploring Operation: 60-14=46, Resulting Numbers: [34, 46]
Generated Node #0,0,0: 12:[34, 46] Operation: 60-14=46
Exploring Operation: 60-34=26, Resulting Numbers: [14, 26]
Generated Node #0,0,1: 12:[14, 26] Operation: 60-34=26
Moving to Node #0,1,0
Current State: 12:[2, 14], Operations: ['62-60=2', '48-34=14']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[62, 60, 34, 48], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [34, 48, 2]
Generated Node #0,1: 12:[34, 48, 2] Operation: 62-60=2
Moving to Node #0,1
Current State: 12:[34, 48, 2], Operations: ['62-60=2']
Exploring Operation: 48-34=14, Resulting Numbers: [2, 14]
Generated Node #0,1,0: 12:[2, 14] Operation: 48-34=14
Moving to Node #0,1,0
Current State: 12:[2, 14], Operations: ['62-60=2', '48-34=14']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 0.990451 | hs_2 | sum_heuristic |
[
26,
3,
91,
3
] | 91 | [
"3-3=0",
"26*0=0",
"91+0=91"
] | Current State: 91:[26, 3, 91, 3], Operations: []
Exploring Operation: 3-3=0, Resulting Numbers: [26, 91, 0]
Generated Node #2: [26, 91, 0] from Operation: 3-3=0
Current State: 91:[26, 91, 0], Operations: ['3-3=0']
Exploring Operation: 26*0=0, Resulting Numbers: [91, 0]
Generated Node #3: [91, 0] from Operation: 26*0=0
Current State: 91:[91, 0], Operations: ['3-3=0', '26*0=0']
Exploring Operation: 91+0=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[26, 3, 91, 3], Operations: []
Exploring Operation: 26-3=23, Resulting Numbers: [91, 3, 23]
Generated Node #0,0: 91:[91, 3, 23] Operation: 26-3=23
Exploring Operation: 3+3=6, Resulting Numbers: [26, 91, 6]
Generated Node #0,1: 91:[26, 91, 6] Operation: 3+3=6
Exploring Operation: 26-3=23, Resulting Numbers: [3, 91, 23]
Generated Node #0,2: 91:[3, 91, 23] Operation: 26-3=23
Moving to Node #0,0
Current State: 91:[91, 3, 23], Operations: ['26-3=23']
Exploring Operation: 91+3=94, Resulting Numbers: [23, 94]
Generated Node #0,0,0: 91:[23, 94] Operation: 91+3=94
Exploring Operation: 91-3=88, Resulting Numbers: [23, 88]
Generated Node #0,0,1: 91:[23, 88] Operation: 91-3=88
Exploring Operation: 23-3=20, Resulting Numbers: [91, 20]
Generated Node #0,0,2: 91:[91, 20] Operation: 23-3=20
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 91:[91, 20], Operations: ['26-3=23', '23-3=20']
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,91 unequal: No Solution
Exploring Operation: 91+20=111, Resulting Numbers: [111]
111,91 unequal: No Solution
Exploring Operation: 91*20=1820, Resulting Numbers: [1820]
1820,91 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 #0,0,0
Current State: 91:[23, 94], Operations: ['26-3=23', '91+3=94']
Exploring Operation: 23*94=2162, Resulting Numbers: [2162]
2162,91 unequal: No Solution
Exploring Operation: 94-23=71, Resulting Numbers: [71]
71,91 unequal: No Solution
Exploring Operation: 23+94=117, Resulting Numbers: [117]
117,91 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 #0,0,1
Current State: 91:[23, 88], Operations: ['26-3=23', '91-3=88']
Exploring Operation: 23+88=111, Resulting Numbers: [111]
111,91 unequal: No Solution
Exploring Operation: 23*88=2024, Resulting Numbers: [2024]
2024,91 unequal: No Solution
Exploring Operation: 88-23=65, Resulting Numbers: [65]
65,91 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: 91:[26, 91, 6], Operations: ['3+3=6']
Exploring Operation: 26-6=20, Resulting Numbers: [91, 20]
Generated Node #0,1,0: 91:[91, 20] Operation: 26-6=20
Exploring Operation: 91+6=97, Resulting Numbers: [26, 97]
Generated Node #0,1,1: 91:[26, 97] Operation: 91+6=97
Exploring Operation: 26+6=32, Resulting Numbers: [91, 32]
Generated Node #0,1,2: 91:[91, 32] Operation: 26+6=32
Moving to Node #0,2
Current State: 91:[3, 91, 23], Operations: ['26-3=23']
Exploring Operation: 23-3=20, Resulting Numbers: [91, 20]
Generated Node #0,2,0: 91:[91, 20] Operation: 23-3=20
Exploring Operation: 91-3=88, Resulting Numbers: [23, 88]
Generated Node #0,2,1: 91:[23, 88] Operation: 91-3=88
Exploring Operation: 3+91=94, Resulting Numbers: [23, 94]
Generated Node #0,2,2: 91:[23, 94] Operation: 3+91=94
Moving to Node #0,1,0
Current State: 91:[91, 20], Operations: ['3+3=6', '26-6=20']
Exploring Operation: 91+20=111, Resulting Numbers: [111]
111,91 unequal: No Solution
Exploring Operation: 91*20=1820, Resulting Numbers: [1820]
1820,91 unequal: No Solution
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[91, 20], Operations: ['26-3=23', '23-3=20']
Exploring Operation: 91*20=1820, Resulting Numbers: [1820]
1820,91 unequal: No Solution
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,91 unequal: No Solution
Exploring Operation: 91+20=111, Resulting Numbers: [111]
111,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[23, 94], Operations: ['26-3=23', '3+91=94']
Exploring Operation: 23*94=2162, Resulting Numbers: [2162]
2162,91 unequal: No Solution
Exploring Operation: 23+94=117, Resulting Numbers: [117]
117,91 unequal: No Solution
Exploring Operation: 94-23=71, Resulting Numbers: [71]
71,91 unequal: No Solution
Moving to Node #0,2,1
Current State: 91:[23, 88], Operations: ['26-3=23', '91-3=88']
Exploring Operation: 88-23=65, Resulting Numbers: [65]
65,91 unequal: No Solution
Exploring Operation: 23+88=111, Resulting Numbers: [111]
111,91 unequal: No Solution
Exploring Operation: 23*88=2024, Resulting Numbers: [2024]
2024,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[26, 97], Operations: ['3+3=6', '91+6=97']
Exploring Operation: 26*97=2522, Resulting Numbers: [2522]
2522,91 unequal: No Solution
Exploring Operation: 97-26=71, Resulting Numbers: [71]
71,91 unequal: No Solution
Exploring Operation: 26+97=123, Resulting Numbers: [123]
123,91 unequal: No Solution
Moving to Node #0,1,2
Current State: 91:[91, 32], Operations: ['3+3=6', '26+6=32']
Exploring Operation: 91*32=2912, Resulting Numbers: [2912]
2912,91 unequal: No Solution
Exploring Operation: 91-32=59, Resulting Numbers: [59]
59,91 unequal: No Solution
Exploring Operation: 91+32=123, Resulting Numbers: [123]
123,91 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
91,
26,
4,
77
] | 64 | [
"91+77=168",
"26*4=104",
"168-104=64"
] | Current State: 64:[91, 26, 4, 77], Operations: []
Exploring Operation: 91+77=168, Resulting Numbers: [26, 4, 168]
Generated Node #2: [26, 4, 168] from Operation: 91+77=168
Current State: 64:[26, 4, 168], Operations: ['91+77=168']
Exploring Operation: 26*4=104, Resulting Numbers: [168, 104]
Generated Node #3: [168, 104] from Operation: 26*4=104
Current State: 64:[168, 104], Operations: ['91+77=168', '26*4=104']
Exploring Operation: 168-104=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[91, 26, 4, 77], Operations: []
Exploring Operation: 91-4=87, Resulting Numbers: [26, 77, 87]
Generated Node #0,0: 64:[26, 77, 87] Operation: 91-4=87
Exploring Operation: 91-26=65, Resulting Numbers: [4, 77, 65]
Generated Node #0,1: 64:[4, 77, 65] Operation: 91-26=65
Exploring Operation: 77-26=51, Resulting Numbers: [91, 4, 51]
Generated Node #0,2: 64:[91, 4, 51] Operation: 77-26=51
Exploring Operation: 91-77=14, Resulting Numbers: [26, 4, 14]
Generated Node #0,3: 64:[26, 4, 14] Operation: 91-77=14
Moving to Node #0,3
Current State: 64:[26, 4, 14], Operations: ['91-77=14']
Exploring Operation: 26+14=40, Resulting Numbers: [4, 40]
Generated Node #0,3,0: 64:[4, 40] Operation: 26+14=40
Exploring Operation: 26+4=30, Resulting Numbers: [14, 30]
Generated Node #0,3,1: 64:[14, 30] Operation: 26+4=30
Exploring Operation: 26-4=22, Resulting Numbers: [14, 22]
Generated Node #0,3,2: 64:[14, 22] Operation: 26-4=22
Exploring Operation: 26-14=12, Resulting Numbers: [4, 12]
Generated Node #0,3,3: 64:[4, 12] Operation: 26-14=12
Moving to Node #0,1
Current State: 64:[4, 77, 65], Operations: ['91-26=65']
Exploring Operation: 77-4=73, Resulting Numbers: [65, 73]
Generated Node #0,1,0: 64:[65, 73] Operation: 77-4=73
Exploring Operation: 65-4=61, Resulting Numbers: [77, 61]
Generated Node #0,1,1: 64:[77, 61] Operation: 65-4=61
Exploring Operation: 77-65=12, Resulting Numbers: [4, 12]
Generated Node #0,1,2: 64:[4, 12] Operation: 77-65=12
Exploring Operation: 4+77=81, Resulting Numbers: [65, 81]
Generated Node #0,1,3: 64:[65, 81] Operation: 4+77=81
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 64:[4, 12], Operations: ['91-26=65', '77-65=12']
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,64 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 #0,1,0
Current State: 64:[65, 73], Operations: ['91-26=65', '77-4=73']
Exploring Operation: 65*73=4745, Resulting Numbers: [4745]
4745,64 unequal: No Solution
Exploring Operation: 73-65=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Exploring Operation: 65+73=138, Resulting Numbers: [138]
138,64 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:[77, 61], Operations: ['91-26=65', '65-4=61']
Exploring Operation: 77-61=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 77+61=138, Resulting Numbers: [138]
138,64 unequal: No Solution
Exploring Operation: 77*61=4697, Resulting Numbers: [4697]
4697,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 64:[65, 81], Operations: ['91-26=65', '4+77=81']
Exploring Operation: 81-65=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 65*81=5265, Resulting Numbers: [5265]
5265,64 unequal: No Solution
Exploring Operation: 65+81=146, Resulting Numbers: [146]
146,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 64:[91, 4, 51], Operations: ['77-26=51']
Exploring Operation: 4+51=55, Resulting Numbers: [91, 55]
Generated Node #0,2,0: 64:[91, 55] Operation: 4+51=55
Exploring Operation: 91-4=87, Resulting Numbers: [51, 87]
Generated Node #0,2,1: 64:[51, 87] Operation: 91-4=87
Exploring Operation: 51-4=47, Resulting Numbers: [91, 47]
Generated Node #0,2,2: 64:[91, 47] Operation: 51-4=47
Exploring Operation: 91-51=40, Resulting Numbers: [4, 40]
Generated Node #0,2,3: 64:[4, 40] Operation: 91-51=40
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 64:[4, 40], Operations: ['77-26=51', '91-51=40']
Exploring Operation: 4+40=44, Resulting Numbers: [44]
44,64 unequal: No Solution
Exploring Operation: 4*40=160, Resulting Numbers: [160]
160,64 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,64 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 64:[91, 55], Operations: ['77-26=51', '4+51=55']
Exploring Operation: 91+55=146, Resulting Numbers: [146]
146,64 unequal: No Solution
Exploring Operation: 91*55=5005, Resulting Numbers: [5005]
5005,64 unequal: No Solution
Exploring Operation: 91-55=36, Resulting Numbers: [36]
36,64 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:[51, 87], Operations: ['77-26=51', '91-4=87']
Exploring Operation: 51+87=138, Resulting Numbers: [138]
138,64 unequal: No Solution
Exploring Operation: 51*87=4437, Resulting Numbers: [4437]
4437,64 unequal: No Solution
Exploring Operation: 87-51=36, Resulting Numbers: [36]
36,64 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:[91, 47], Operations: ['77-26=51', '51-4=47']
Exploring Operation: 91+47=138, Resulting Numbers: [138]
138,64 unequal: No Solution
Exploring Operation: 91-47=44, Resulting Numbers: [44]
44,64 unequal: No Solution
Exploring Operation: 91*47=4277, Resulting Numbers: [4277]
4277,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 64:[26, 77, 87], Operations: ['91-4=87']
Exploring Operation: 87-77=10, Resulting Numbers: [26, 10]
Generated Node #0,0,0: 64:[26, 10] Operation: 87-77=10
Exploring Operation: 26+77=103, Resulting Numbers: [87, 103]
Generated Node #0,0,1: 64:[87, 103] Operation: 26+77=103
Exploring Operation: 77-26=51, Resulting Numbers: [87, 51]
Generated Node #0,0,2: 64:[87, 51] Operation: 77-26=51
Exploring Operation: 87-26=61, Resulting Numbers: [77, 61]
Generated Node #0,0,3: 64:[77, 61] Operation: 87-26=61
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[26, 10], Operations: ['91-4=87', '87-77=10']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 26*10=260, Resulting Numbers: [260]
260,64 unequal: No Solution
Exploring Operation: 26+10=36, Resulting Numbers: [36]
36,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 64:[77, 61], Operations: ['91-4=87', '87-26=61']
Exploring Operation: 77+61=138, Resulting Numbers: [138]
138,64 unequal: No Solution
Exploring Operation: 77*61=4697, Resulting Numbers: [4697]
4697,64 unequal: No Solution
Exploring Operation: 77-61=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 #0,0,2
Current State: 64:[87, 51], Operations: ['91-4=87', '77-26=51']
Exploring Operation: 87*51=4437, Resulting Numbers: [4437]
4437,64 unequal: No Solution
Exploring Operation: 87+51=138, Resulting Numbers: [138]
138,64 unequal: No Solution
Exploring Operation: 87-51=36, Resulting Numbers: [36]
36,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 64:[87, 103], Operations: ['91-4=87', '26+77=103']
Exploring Operation: 87*103=8961, Resulting Numbers: [8961]
8961,64 unequal: No Solution
Exploring Operation: 87+103=190, Resulting Numbers: [190]
190,64 unequal: No Solution
Exploring Operation: 103-87=16, Resulting Numbers: [16]
16,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 64:[14, 30], Operations: ['91-77=14', '26+4=30']
Exploring Operation: 14+30=44, Resulting Numbers: [44]
44,64 unequal: No Solution
Exploring Operation: 14*30=420, Resulting Numbers: [420]
420,64 unequal: No Solution
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Moving to Node #0,3,3
Current State: 64:[4, 12], Operations: ['91-77=14', '26-14=12']
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,64 unequal: No Solution
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,64 unequal: No Solution
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Moving to Node #0,3,2
Current State: 64:[14, 22], Operations: ['91-77=14', '26-4=22']
Exploring Operation: 14*22=308, Resulting Numbers: [308]
308,64 unequal: No Solution
Exploring Operation: 14+22=36, Resulting Numbers: [36]
36,64 unequal: No Solution
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,64 unequal: No Solution
Moving to Node #0,3,0
Current State: 64:[4, 40], Operations: ['91-77=14', '26+14=40']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,64 unequal: No Solution
Exploring Operation: 4+40=44, Resulting Numbers: [44]
44,64 unequal: No Solution
Exploring Operation: 4*40=160, Resulting Numbers: [160]
160,64 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
53,
6,
37,
97
] | 42 | [
"53+37=90",
"97-90=7",
"6*7=42"
] | Current State: 42:[53, 6, 37, 97], Operations: []
Exploring Operation: 53+37=90, Resulting Numbers: [6, 97, 90]
Generated Node #2: [6, 97, 90] from Operation: 53+37=90
Current State: 42:[6, 97, 90], Operations: ['53+37=90']
Exploring Operation: 97-90=7, Resulting Numbers: [6, 7]
Generated Node #3: [6, 7] from Operation: 97-90=7
Current State: 42:[6, 7], Operations: ['53+37=90', '97-90=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[53, 6, 37, 97], Operations: []
Exploring Operation: 97-53=44, Resulting Numbers: [6, 37, 44]
Generated Node #0,0: 42:[6, 37, 44] Operation: 97-53=44
Exploring Operation: 97-37=60, Resulting Numbers: [53, 6, 60]
Generated Node #0,1: 42:[53, 6, 60] Operation: 97-37=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[6, 37, 44], Operations: ['97-53=44']
Exploring Operation: 44-37=7, Resulting Numbers: [6, 7]
Generated Node #0,0,0: 42:[6, 7] Operation: 44-37=7
Exploring Operation: 6+37=43, Resulting Numbers: [44, 43]
Generated Node #0,0,1: 42:[44, 43] Operation: 6+37=43
Moving to Node #0,0,0
Current State: 42:[6, 7], Operations: ['97-53=44', '44-37=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[53, 6, 37, 97], Operations: []
Exploring Operation: 97-53=44, Resulting Numbers: [6, 37, 44]
Generated Node #0,0: 42:[6, 37, 44] Operation: 97-53=44
Moving to Node #0,0
Current State: 42:[6, 37, 44], Operations: ['97-53=44']
Exploring Operation: 44-37=7, Resulting Numbers: [6, 7]
Generated Node #0,0,0: 42:[6, 7] Operation: 44-37=7
Moving to Node #0,0,0
Current State: 42:[6, 7], Operations: ['97-53=44', '44-37=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
57,
86,
57,
20
] | 86 | [
"57-57=0",
"20*0=0",
"86+0=86"
] | Current State: 86:[57, 86, 57, 20], Operations: []
Exploring Operation: 57-57=0, Resulting Numbers: [86, 20, 0]
Generated Node #2: [86, 20, 0] from Operation: 57-57=0
Current State: 86:[86, 20, 0], Operations: ['57-57=0']
Exploring Operation: 20*0=0, Resulting Numbers: [86, 0]
Generated Node #3: [86, 0] from Operation: 20*0=0
Current State: 86:[86, 0], Operations: ['57-57=0', '20*0=0']
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[57, 86, 57, 20], Operations: []
Exploring Operation: 57-20=37, Resulting Numbers: [86, 57, 37]
Generated Node #0,0: 86:[86, 57, 37] Operation: 57-20=37
Exploring Operation: 57-20=37, Resulting Numbers: [57, 86, 37]
Generated Node #0,1: 86:[57, 86, 37] Operation: 57-20=37
Exploring Operation: 57-57=0, Resulting Numbers: [86, 20, 0]
Generated Node #0,2: 86:[86, 20, 0] Operation: 57-57=0
Exploring Operation: 57+20=77, Resulting Numbers: [86, 57, 77]
Generated Node #0,3: 86:[86, 57, 77] Operation: 57+20=77
Exploring Operation: 57/57=1, Resulting Numbers: [86, 20, 1]
Generated Node #0,4: 86:[86, 20, 1] Operation: 57/57=1
Start Sub Search at level 1: Moving to Node #0,4
Current State: 86:[86, 20, 1], Operations: ['57/57=1']
Exploring Operation: 86/1=86, Resulting Numbers: [20, 86]
Generated Node #0,4,0: 86:[20, 86] Operation: 86/1=86
Exploring Operation: 20*1=20, Resulting Numbers: [86, 20]
Generated Node #0,4,1: 86:[86, 20] Operation: 20*1=20
Exploring Operation: 86*1=86, Resulting Numbers: [20, 86]
Generated Node #0,4,2: 86:[20, 86] Operation: 86*1=86
Exploring Operation: 20/1=20, Resulting Numbers: [86, 20]
Generated Node #0,4,3: 86:[86, 20] Operation: 20/1=20
Exploring Operation: 20-1=19, Resulting Numbers: [86, 19]
Generated Node #0,4,4: 86:[86, 19] Operation: 20-1=19
Moving to Node #0,4,4
Current State: 86:[86, 19], Operations: ['57/57=1', '20-1=19']
Exploring Operation: 86-19=67, Resulting Numbers: [67]
67,86 unequal: No Solution
Exploring Operation: 86+19=105, Resulting Numbers: [105]
105,86 unequal: No Solution
Exploring Operation: 86*19=1634, Resulting Numbers: [1634]
1634,86 unequal: No Solution
Moving to Node #0,4,1
Current State: 86:[86, 20], Operations: ['57/57=1', '20*1=20']
Exploring Operation: 86+20=106, Resulting Numbers: [106]
106,86 unequal: No Solution
Exploring Operation: 86*20=1720, Resulting Numbers: [1720]
1720,86 unequal: No Solution
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Moving to Node #0,4,3
Current State: 86:[86, 20], Operations: ['57/57=1', '20/1=20']
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Exploring Operation: 86*20=1720, Resulting Numbers: [1720]
1720,86 unequal: No Solution
Exploring Operation: 86+20=106, Resulting Numbers: [106]
106,86 unequal: No Solution
Moving to Node #0,4,0
Current State: 86:[20, 86], Operations: ['57/57=1', '86/1=86']
Exploring Operation: 20+86=106, Resulting Numbers: [106]
106,86 unequal: No Solution
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Exploring Operation: 20*86=1720, Resulting Numbers: [1720]
1720,86 unequal: No Solution
Moving to Node #0,4,2
Current State: 86:[20, 86], Operations: ['57/57=1', '86*1=86']
Exploring Operation: 20*86=1720, Resulting Numbers: [1720]
1720,86 unequal: No Solution
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Exploring Operation: 20+86=106, Resulting Numbers: [106]
106,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[86, 57, 37], Operations: ['57-20=37']
Exploring Operation: 86-57=29, Resulting Numbers: [37, 29]
Generated Node #0,0,0: 86:[37, 29] Operation: 86-57=29
Exploring Operation: 57+37=94, Resulting Numbers: [86, 94]
Generated Node #0,0,1: 86:[86, 94] Operation: 57+37=94
Exploring Operation: 57-37=20, Resulting Numbers: [86, 20]
Generated Node #0,0,2: 86:[86, 20] Operation: 57-37=20
Exploring Operation: 86-37=49, Resulting Numbers: [57, 49]
Generated Node #0,0,3: 86:[57, 49] Operation: 86-37=49
Exploring Operation: 86+37=123, Resulting Numbers: [57, 123]
Generated Node #0,0,4: 86:[57, 123] Operation: 86+37=123
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 86:[86, 94], Operations: ['57-20=37', '57+37=94']
Exploring Operation: 86*94=8084, Resulting Numbers: [8084]
8084,86 unequal: No Solution
Exploring Operation: 86+94=180, Resulting Numbers: [180]
180,86 unequal: No Solution
Exploring Operation: 94-86=8, Resulting Numbers: [8]
8,86 unequal: No Solution
No 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: 86:[86, 20], Operations: ['57-20=37', '57-37=20']
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Exploring Operation: 86*20=1720, Resulting Numbers: [1720]
1720,86 unequal: No Solution
Exploring Operation: 86+20=106, Resulting Numbers: [106]
106,86 unequal: No Solution
No 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: 86:[37, 29], Operations: ['57-20=37', '86-57=29']
Exploring Operation: 37*29=1073, Resulting Numbers: [1073]
1073,86 unequal: No Solution
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,86 unequal: No Solution
No 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: 86:[57, 49], Operations: ['57-20=37', '86-37=49']
Exploring Operation: 57+49=106, Resulting Numbers: [106]
106,86 unequal: No Solution
Exploring Operation: 57*49=2793, Resulting Numbers: [2793]
2793,86 unequal: No Solution
Exploring Operation: 57-49=8, Resulting Numbers: [8]
8,86 unequal: No Solution
No 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: 86:[57, 123], Operations: ['57-20=37', '86+37=123']
Exploring Operation: 123-57=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Exploring Operation: 57+123=180, Resulting Numbers: [180]
180,86 unequal: No Solution
Exploring Operation: 57*123=7011, Resulting Numbers: [7011]
7011,86 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: 86:[57, 86, 37], Operations: ['57-20=37']
Exploring Operation: 86-37=49, Resulting Numbers: [57, 49]
Generated Node #0,1,0: 86:[57, 49] Operation: 86-37=49
Exploring Operation: 86+37=123, Resulting Numbers: [57, 123]
Generated Node #0,1,1: 86:[57, 123] Operation: 86+37=123
Exploring Operation: 57-37=20, Resulting Numbers: [86, 20]
Generated Node #0,1,2: 86:[86, 20] Operation: 57-37=20
Exploring Operation: 57+37=94, Resulting Numbers: [86, 94]
Generated Node #0,1,3: 86:[86, 94] Operation: 57+37=94
Exploring Operation: 86-57=29, Resulting Numbers: [37, 29]
Generated Node #0,1,4: 86:[37, 29] Operation: 86-57=29
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 86:[86, 94], Operations: ['57-20=37', '57+37=94']
Exploring Operation: 86+94=180, Resulting Numbers: [180]
180,86 unequal: No Solution
Exploring Operation: 86*94=8084, Resulting Numbers: [8084]
8084,86 unequal: No Solution
Exploring Operation: 94-86=8, Resulting Numbers: [8]
8,86 unequal: No Solution
No 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: 86:[86, 20], Operations: ['57-20=37', '57-37=20']
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Exploring Operation: 86*20=1720, Resulting Numbers: [1720]
1720,86 unequal: No Solution
Exploring Operation: 86+20=106, Resulting Numbers: [106]
106,86 unequal: No Solution
No 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: 86:[57, 49], Operations: ['57-20=37', '86-37=49']
Exploring Operation: 57-49=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Exploring Operation: 57+49=106, Resulting Numbers: [106]
106,86 unequal: No Solution
Exploring Operation: 57*49=2793, Resulting Numbers: [2793]
2793,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 86:[37, 29], Operations: ['57-20=37', '86-57=29']
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Exploring Operation: 37*29=1073, Resulting Numbers: [1073]
1073,86 unequal: No Solution
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,86 unequal: No Solution
No 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: 86:[57, 123], Operations: ['57-20=37', '86+37=123']
Exploring Operation: 123-57=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Exploring Operation: 57*123=7011, Resulting Numbers: [7011]
7011,86 unequal: No Solution
Exploring Operation: 57+123=180, Resulting Numbers: [180]
180,86 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: 86:[86, 20, 0], Operations: ['57-57=0']
Exploring Operation: 86+0=86, Resulting Numbers: [20, 86]
Generated Node #0,2,0: 86:[20, 86] Operation: 86+0=86
Exploring Operation: 20-0=20, Resulting Numbers: [86, 20]
Generated Node #0,2,1: 86:[86, 20] Operation: 20-0=20
Exploring Operation: 20*0=0, Resulting Numbers: [86, 0]
Generated Node #0,2,2: 86:[86, 0] Operation: 20*0=0
Exploring Operation: 20+0=20, Resulting Numbers: [86, 20]
Generated Node #0,2,3: 86:[86, 20] Operation: 20+0=20
Exploring Operation: 86-0=86, Resulting Numbers: [20, 86]
Generated Node #0,2,4: 86:[20, 86] Operation: 86-0=86
Moving to Node #0,2,2
Current State: 86:[86, 0], Operations: ['57-57=0', '20*0=0']
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[57, 86, 57, 20], Operations: []
Exploring Operation: 57-57=0, Resulting Numbers: [86, 20, 0]
Generated Node #0,2: 86:[86, 20, 0] Operation: 57-57=0
Moving to Node #0,2
Current State: 86:[86, 20, 0], Operations: ['57-57=0']
Exploring Operation: 20*0=0, Resulting Numbers: [86, 0]
Generated Node #0,2,2: 86:[86, 0] Operation: 20*0=0
Moving to Node #0,2,2
Current State: 86:[86, 0], Operations: ['57-57=0', '20*0=0']
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.934896 | hs_5 | mult_heuristic |
[
57,
14,
15,
71
] | 82 | [
"57+71=128",
"14*15=210",
"210-128=82"
] | Current State: 82:[57, 14, 15, 71], Operations: []
Exploring Operation: 57+71=128, Resulting Numbers: [14, 15, 128]
Generated Node #2: [14, 15, 128] from Operation: 57+71=128
Current State: 82:[14, 15, 128], Operations: ['57+71=128']
Exploring Operation: 14*15=210, Resulting Numbers: [128, 210]
Generated Node #3: [128, 210] from Operation: 14*15=210
Current State: 82:[128, 210], Operations: ['57+71=128', '14*15=210']
Exploring Operation: 210-128=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[57, 14, 15, 71], Operations: []
Exploring Operation: 57-15=42, Resulting Numbers: [14, 71, 42]
Generated Node #0,0: 82:[14, 71, 42] Operation: 57-15=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[14, 71, 42], Operations: ['57-15=42']
Exploring Operation: 14+71=85, Resulting Numbers: [42, 85]
Generated Node #0,0,0: 82:[42, 85] Operation: 14+71=85
Moving to Node #0,0,0
Current State: 82:[42, 85], Operations: ['57-15=42', '14+71=85']
Exploring Operation: 85-42=43, Resulting Numbers: [43]
43,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
94,
88,
37,
10
] | 41 | [
"94-88=6",
"37+10=47",
"47-6=41"
] | Current State: 41:[94, 88, 37, 10], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [37, 10, 6]
Generated Node #2: [37, 10, 6] from Operation: 94-88=6
Current State: 41:[37, 10, 6], Operations: ['94-88=6']
Exploring Operation: 37+10=47, Resulting Numbers: [6, 47]
Generated Node #3: [6, 47] from Operation: 37+10=47
Current State: 41:[6, 47], Operations: ['94-88=6', '37+10=47']
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[94, 88, 37, 10], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [37, 10, 6]
Generated Node #0,0: 41:[37, 10, 6] Operation: 94-88=6
Exploring Operation: 88-37=51, Resulting Numbers: [94, 10, 51]
Generated Node #0,1: 41:[94, 10, 51] Operation: 88-37=51
Exploring Operation: 94-10=84, Resulting Numbers: [88, 37, 84]
Generated Node #0,2: 41:[88, 37, 84] Operation: 94-10=84
Exploring Operation: 94-37=57, Resulting Numbers: [88, 10, 57]
Generated Node #0,3: 41:[88, 10, 57] Operation: 94-37=57
Exploring Operation: 88-10=78, Resulting Numbers: [94, 37, 78]
Generated Node #0,4: 41:[94, 37, 78] Operation: 88-10=78
Moving to Node #0,0
Current State: 41:[37, 10, 6], Operations: ['94-88=6']
Exploring Operation: 37-6=31, Resulting Numbers: [10, 31]
Generated Node #0,0,0: 41:[10, 31] Operation: 37-6=31
Exploring Operation: 37+10=47, Resulting Numbers: [6, 47]
Generated Node #0,0,1: 41:[6, 47] Operation: 37+10=47
Exploring Operation: 37+6=43, Resulting Numbers: [10, 43]
Generated Node #0,0,2: 41:[10, 43] Operation: 37+6=43
Exploring Operation: 10+6=16, Resulting Numbers: [37, 16]
Generated Node #0,0,3: 41:[37, 16] Operation: 10+6=16
Exploring Operation: 10*6=60, Resulting Numbers: [37, 60]
Generated Node #0,0,4: 41:[37, 60] Operation: 10*6=60
Moving to Node #0,2
Current State: 41:[88, 37, 84], Operations: ['94-10=84']
Exploring Operation: 88+37=125, Resulting Numbers: [84, 125]
Generated Node #0,2,0: 41:[84, 125] Operation: 88+37=125
Exploring Operation: 37+84=121, Resulting Numbers: [88, 121]
Generated Node #0,2,1: 41:[88, 121] Operation: 37+84=121
Exploring Operation: 88-84=4, Resulting Numbers: [37, 4]
Generated Node #0,2,2: 41:[37, 4] Operation: 88-84=4
Exploring Operation: 84-37=47, Resulting Numbers: [88, 47]
Generated Node #0,2,3: 41:[88, 47] Operation: 84-37=47
Exploring Operation: 88-37=51, Resulting Numbers: [84, 51]
Generated Node #0,2,4: 41:[84, 51] Operation: 88-37=51
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 41:[37, 4], Operations: ['94-10=84', '88-84=4']
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[94, 88, 37, 10], Operations: []
Exploring Operation: 94-10=84, Resulting Numbers: [88, 37, 84]
Generated Node #0,2: 41:[88, 37, 84] Operation: 94-10=84
Moving to Node #0,2
Current State: 41:[88, 37, 84], Operations: ['94-10=84']
Exploring Operation: 88-84=4, Resulting Numbers: [37, 4]
Generated Node #0,2,2: 41:[37, 4] Operation: 88-84=4
Moving to Node #0,2,2
Current State: 41:[37, 4], Operations: ['94-10=84', '88-84=4']
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
78,
86,
40,
27
] | 21 | [
"86-78=8",
"40-27=13",
"8+13=21"
] | Current State: 21:[78, 86, 40, 27], Operations: []
Exploring Operation: 86-78=8, Resulting Numbers: [40, 27, 8]
Generated Node #2: [40, 27, 8] from Operation: 86-78=8
Current State: 21:[40, 27, 8], Operations: ['86-78=8']
Exploring Operation: 40-27=13, Resulting Numbers: [8, 13]
Generated Node #3: [8, 13] from Operation: 40-27=13
Current State: 21:[8, 13], Operations: ['86-78=8', '40-27=13']
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[78, 86, 40, 27], Operations: []
Exploring Operation: 86-78=8, Resulting Numbers: [40, 27, 8]
Generated Node #0,0: 21:[40, 27, 8] Operation: 86-78=8
Exploring Operation: 78-40=38, Resulting Numbers: [86, 27, 38]
Generated Node #0,1: 21:[86, 27, 38] Operation: 78-40=38
Moving to Node #0,0
Current State: 21:[40, 27, 8], Operations: ['86-78=8']
Exploring Operation: 40-27=13, Resulting Numbers: [8, 13]
Generated Node #0,0,0: 21:[8, 13] Operation: 40-27=13
Exploring Operation: 40/8=5, Resulting Numbers: [27, 5]
Generated Node #0,0,1: 21:[27, 5] Operation: 40/8=5
Moving to Node #0,1
Current State: 21:[86, 27, 38], Operations: ['78-40=38']
Exploring Operation: 86-27=59, Resulting Numbers: [38, 59]
Generated Node #0,1,0: 21:[38, 59] Operation: 86-27=59
Exploring Operation: 86-38=48, Resulting Numbers: [27, 48]
Generated Node #0,1,1: 21:[27, 48] Operation: 86-38=48
Moving to Node #0,0,0
Current State: 21:[8, 13], Operations: ['86-78=8', '40-27=13']
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,21 unequal: No Solution
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[78, 86, 40, 27], Operations: []
Exploring Operation: 86-78=8, Resulting Numbers: [40, 27, 8]
Generated Node #0,0: 21:[40, 27, 8] Operation: 86-78=8
Moving to Node #0,0
Current State: 21:[40, 27, 8], Operations: ['86-78=8']
Exploring Operation: 40-27=13, Resulting Numbers: [8, 13]
Generated Node #0,0,0: 21:[8, 13] Operation: 40-27=13
Moving to Node #0,0,0
Current State: 21:[8, 13], Operations: ['86-78=8', '40-27=13']
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
91,
50,
80,
66
] | 78 | [
"91-66=25",
"50/25=2",
"80-2=78"
] | Current State: 78:[91, 50, 80, 66], Operations: []
Exploring Operation: 91-66=25, Resulting Numbers: [50, 80, 25]
Generated Node #2: [50, 80, 25] from Operation: 91-66=25
Current State: 78:[50, 80, 25], Operations: ['91-66=25']
Exploring Operation: 50/25=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 50/25=2
Current State: 78:[80, 2], Operations: ['91-66=25', '50/25=2']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[91, 50, 80, 66], Operations: []
Exploring Operation: 91-80=11, Resulting Numbers: [50, 66, 11]
Generated Node #0,0: 78:[50, 66, 11] Operation: 91-80=11
Exploring Operation: 91-50=41, Resulting Numbers: [80, 66, 41]
Generated Node #0,1: 78:[80, 66, 41] Operation: 91-50=41
Exploring Operation: 66-50=16, Resulting Numbers: [91, 80, 16]
Generated Node #0,2: 78:[91, 80, 16] Operation: 66-50=16
Exploring Operation: 80-66=14, Resulting Numbers: [91, 50, 14]
Generated Node #0,3: 78:[91, 50, 14] Operation: 80-66=14
Exploring Operation: 91-66=25, Resulting Numbers: [50, 80, 25]
Generated Node #0,4: 78:[50, 80, 25] Operation: 91-66=25
Start Sub Search at level 1: Moving to Node #0,4
Current State: 78:[50, 80, 25], Operations: ['91-66=25']
Exploring Operation: 80-25=55, Resulting Numbers: [50, 55]
Generated Node #0,4,0: 78:[50, 55] Operation: 80-25=55
Exploring Operation: 50/25=2, Resulting Numbers: [80, 2]
Generated Node #0,4,1: 78:[80, 2] Operation: 50/25=2
Exploring Operation: 50+25=75, Resulting Numbers: [80, 75]
Generated Node #0,4,2: 78:[80, 75] Operation: 50+25=75
Exploring Operation: 80-50=30, Resulting Numbers: [25, 30]
Generated Node #0,4,3: 78:[25, 30] Operation: 80-50=30
Exploring Operation: 50-25=25, Resulting Numbers: [80, 25]
Generated Node #0,4,4: 78:[80, 25] Operation: 50-25=25
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 78:[80, 2], Operations: ['91-66=25', '50/25=2']
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,78 unequal: No Solution
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,78 unequal: No Solution
Exploring Operation: 80*2=160, Resulting Numbers: [160]
160,78 unequal: No Solution
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[91, 50, 80, 66], Operations: []
Exploring Operation: 91-66=25, Resulting Numbers: [50, 80, 25]
Generated Node #0,4: 78:[50, 80, 25] Operation: 91-66=25
Moving to Node #0,4
Current State: 78:[50, 80, 25], Operations: ['91-66=25']
Exploring Operation: 50/25=2, Resulting Numbers: [80, 2]
Generated Node #0,4,1: 78:[80, 2] Operation: 50/25=2
Moving to Node #0,4,1
Current State: 78:[80, 2], Operations: ['91-66=25', '50/25=2']
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
29,
32,
76,
83
] | 53 | [
"32-29=3",
"76+83=159",
"159/3=53"
] | Current State: 53:[29, 32, 76, 83], Operations: []
Exploring Operation: 32-29=3, Resulting Numbers: [76, 83, 3]
Generated Node #2: [76, 83, 3] from Operation: 32-29=3
Current State: 53:[76, 83, 3], Operations: ['32-29=3']
Exploring Operation: 76+83=159, Resulting Numbers: [3, 159]
Generated Node #3: [3, 159] from Operation: 76+83=159
Current State: 53:[3, 159], Operations: ['32-29=3', '76+83=159']
Exploring Operation: 159/3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[29, 32, 76, 83], Operations: []
Exploring Operation: 83-29=54, Resulting Numbers: [32, 76, 54]
Generated Node #0,0: 53:[32, 76, 54] Operation: 83-29=54
Moving to Node #0,0
Current State: 53:[32, 76, 54], Operations: ['83-29=54']
Exploring Operation: 76-32=44, Resulting Numbers: [54, 44]
Generated Node #0,0,0: 53:[54, 44] Operation: 76-32=44
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[54, 44], Operations: ['83-29=54', '76-32=44']
Exploring Operation: 54-44=10, Resulting Numbers: [10]
10,53 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 |
[
81,
77,
77,
23
] | 59 | [
"81-23=58",
"77/77=1",
"58+1=59"
] | Current State: 59:[81, 77, 77, 23], Operations: []
Exploring Operation: 81-23=58, Resulting Numbers: [77, 77, 58]
Generated Node #2: [77, 77, 58] from Operation: 81-23=58
Current State: 59:[77, 77, 58], Operations: ['81-23=58']
Exploring Operation: 77/77=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 77/77=1
Current State: 59:[58, 1], Operations: ['81-23=58', '77/77=1']
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[81, 77, 77, 23], Operations: []
Exploring Operation: 81-23=58, Resulting Numbers: [77, 77, 58]
Generated Node #0,0: 59:[77, 77, 58] Operation: 81-23=58
Exploring Operation: 77-23=54, Resulting Numbers: [81, 77, 54]
Generated Node #0,1: 59:[81, 77, 54] Operation: 77-23=54
Exploring Operation: 77-23=54, Resulting Numbers: [81, 77, 54]
Generated Node #0,2: 59:[81, 77, 54] Operation: 77-23=54
Moving to Node #0,0
Current State: 59:[77, 77, 58], Operations: ['81-23=58']
Exploring Operation: 77-58=19, Resulting Numbers: [77, 19]
Generated Node #0,0,0: 59:[77, 19] Operation: 77-58=19
Exploring Operation: 77/77=1, Resulting Numbers: [58, 1]
Generated Node #0,0,1: 59:[58, 1] Operation: 77/77=1
Exploring Operation: 77-58=19, Resulting Numbers: [77, 19]
Generated Node #0,0,2: 59:[77, 19] Operation: 77-58=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[77, 19], Operations: ['81-23=58', '77-58=19']
Exploring Operation: 77+19=96, Resulting Numbers: [96]
96,59 unequal: No Solution
Exploring Operation: 77-19=58, Resulting Numbers: [58]
58,59 unequal: No Solution
Exploring Operation: 77*19=1463, Resulting Numbers: [1463]
1463,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 59:[77, 19], Operations: ['81-23=58', '77-58=19']
Exploring Operation: 77+19=96, Resulting Numbers: [96]
96,59 unequal: No Solution
Exploring Operation: 77-19=58, Resulting Numbers: [58]
58,59 unequal: No Solution
Exploring Operation: 77*19=1463, Resulting Numbers: [1463]
1463,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 59:[58, 1], Operations: ['81-23=58', '77/77=1']
Exploring Operation: 58/1=58, Resulting Numbers: [58]
58,59 unequal: No Solution
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[81, 77, 77, 23], Operations: []
Exploring Operation: 81-23=58, Resulting Numbers: [77, 77, 58]
Generated Node #0,0: 59:[77, 77, 58] Operation: 81-23=58
Moving to Node #0,0
Current State: 59:[77, 77, 58], Operations: ['81-23=58']
Exploring Operation: 77/77=1, Resulting Numbers: [58, 1]
Generated Node #0,0,1: 59:[58, 1] Operation: 77/77=1
Moving to Node #0,0,1
Current State: 59:[58, 1], Operations: ['81-23=58', '77/77=1']
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
64,
1,
47,
44
] | 61 | [
"64*1=64",
"47-44=3",
"64-3=61"
] | Current State: 61:[64, 1, 47, 44], Operations: []
Exploring Operation: 64*1=64, Resulting Numbers: [47, 44, 64]
Generated Node #2: [47, 44, 64] from Operation: 64*1=64
Current State: 61:[47, 44, 64], Operations: ['64*1=64']
Exploring Operation: 47-44=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 47-44=3
Current State: 61:[64, 3], Operations: ['64*1=64', '47-44=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[64, 1, 47, 44], Operations: []
Exploring Operation: 64-1=63, Resulting Numbers: [47, 44, 63]
Generated Node #0,0: 61:[47, 44, 63] Operation: 64-1=63
Exploring Operation: 1+47=48, Resulting Numbers: [64, 44, 48]
Generated Node #0,1: 61:[64, 44, 48] Operation: 1+47=48
Exploring Operation: 1+44=45, Resulting Numbers: [64, 47, 45]
Generated Node #0,2: 61:[64, 47, 45] Operation: 1+44=45
Moving to Node #0,0
Current State: 61:[47, 44, 63], Operations: ['64-1=63']
Exploring Operation: 47+44=91, Resulting Numbers: [63, 91]
Generated Node #0,0,0: 61:[63, 91] Operation: 47+44=91
Exploring Operation: 47-44=3, Resulting Numbers: [63, 3]
Generated Node #0,0,1: 61:[63, 3] Operation: 47-44=3
Exploring Operation: 63-44=19, Resulting Numbers: [47, 19]
Generated Node #0,0,2: 61:[47, 19] Operation: 63-44=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[63, 91], Operations: ['64-1=63', '47+44=91']
Exploring Operation: 63*91=5733, Resulting Numbers: [5733]
5733,61 unequal: No Solution
Exploring Operation: 63+91=154, Resulting Numbers: [154]
154,61 unequal: No Solution
Exploring Operation: 91-63=28, Resulting Numbers: [28]
28,61 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 #0,0,2
Current State: 61:[47, 19], Operations: ['64-1=63', '63-44=19']
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,61 unequal: No Solution
Exploring Operation: 47*19=893, Resulting Numbers: [893]
893,61 unequal: No Solution
Exploring Operation: 47+19=66, Resulting Numbers: [66]
66,61 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 #0,0,1
Current State: 61:[63, 3], Operations: ['64-1=63', '47-44=3']
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,61 unequal: No Solution
Exploring Operation: 63+3=66, Resulting Numbers: [66]
66,61 unequal: No Solution
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,61 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:[64, 44, 48], Operations: ['1+47=48']
Exploring Operation: 44+48=92, Resulting Numbers: [64, 92]
Generated Node #0,1,0: 61:[64, 92] Operation: 44+48=92
Exploring Operation: 64+44=108, Resulting Numbers: [48, 108]
Generated Node #0,1,1: 61:[48, 108] Operation: 64+44=108
Exploring Operation: 64-44=20, Resulting Numbers: [48, 20]
Generated Node #0,1,2: 61:[48, 20] Operation: 64-44=20
Moving to Node #0,2
Current State: 61:[64, 47, 45], Operations: ['1+44=45']
Exploring Operation: 47+45=92, Resulting Numbers: [64, 92]
Generated Node #0,2,0: 61:[64, 92] Operation: 47+45=92
Exploring Operation: 64-45=19, Resulting Numbers: [47, 19]
Generated Node #0,2,1: 61:[47, 19] Operation: 64-45=19
Exploring Operation: 64-47=17, Resulting Numbers: [45, 17]
Generated Node #0,2,2: 61:[45, 17] Operation: 64-47=17
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 61:[64, 92], Operations: ['1+44=45', '47+45=92']
Exploring Operation: 92-64=28, Resulting Numbers: [28]
28,61 unequal: No Solution
Exploring Operation: 64+92=156, Resulting Numbers: [156]
156,61 unequal: No Solution
Exploring Operation: 64*92=5888, Resulting Numbers: [5888]
5888,61 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:[47, 19], Operations: ['1+44=45', '64-45=19']
Exploring Operation: 47+19=66, Resulting Numbers: [66]
66,61 unequal: No Solution
Exploring Operation: 47*19=893, Resulting Numbers: [893]
893,61 unequal: No Solution
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,61 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:[45, 17], Operations: ['1+44=45', '64-47=17']
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,61 unequal: No Solution
Exploring Operation: 45+17=62, Resulting Numbers: [62]
62,61 unequal: No Solution
Exploring Operation: 45*17=765, Resulting Numbers: [765]
765,61 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: 61:[64, 92], Operations: ['1+47=48', '44+48=92']
Exploring Operation: 92-64=28, Resulting Numbers: [28]
28,61 unequal: No Solution
Exploring Operation: 64*92=5888, Resulting Numbers: [5888]
5888,61 unequal: No Solution
Exploring Operation: 64+92=156, Resulting Numbers: [156]
156,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[48, 20], Operations: ['1+47=48', '64-44=20']
Exploring Operation: 48*20=960, Resulting Numbers: [960]
960,61 unequal: No Solution
Exploring Operation: 48+20=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[48, 108], Operations: ['1+47=48', '64+44=108']
Exploring Operation: 48*108=5184, Resulting Numbers: [5184]
5184,61 unequal: No Solution
Exploring Operation: 108-48=60, Resulting Numbers: [60]
60,61 unequal: No Solution
Exploring Operation: 48+108=156, Resulting Numbers: [156]
156,61 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
85,
2,
8,
99
] | 88 | [
"85-8=77",
"99+77=176",
"176/2=88"
] | Current State: 88:[85, 2, 8, 99], Operations: []
Exploring Operation: 85-8=77, Resulting Numbers: [2, 99, 77]
Generated Node #2: [2, 99, 77] from Operation: 85-8=77
Current State: 88:[2, 99, 77], Operations: ['85-8=77']
Exploring Operation: 99+77=176, Resulting Numbers: [2, 176]
Generated Node #3: [2, 176] from Operation: 99+77=176
Current State: 88:[2, 176], Operations: ['85-8=77', '99+77=176']
Exploring Operation: 176/2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[85, 2, 8, 99], Operations: []
Exploring Operation: 99-85=14, Resulting Numbers: [2, 8, 14]
Generated Node #0,0: 88:[2, 8, 14] Operation: 99-85=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[2, 8, 14], Operations: ['99-85=14']
Exploring Operation: 8+14=22, Resulting Numbers: [2, 22]
Generated Node #0,0,0: 88:[2, 22] Operation: 8+14=22
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[2, 22], Operations: ['99-85=14', '8+14=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,88 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 |
[
19,
68,
80,
77
] | 46 | [
"68-19=49",
"80-77=3",
"49-3=46"
] | Current State: 46:[19, 68, 80, 77], Operations: []
Exploring Operation: 68-19=49, Resulting Numbers: [80, 77, 49]
Generated Node #2: [80, 77, 49] from Operation: 68-19=49
Current State: 46:[80, 77, 49], Operations: ['68-19=49']
Exploring Operation: 80-77=3, Resulting Numbers: [49, 3]
Generated Node #3: [49, 3] from Operation: 80-77=3
Current State: 46:[49, 3], Operations: ['68-19=49', '80-77=3']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[19, 68, 80, 77], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [19, 68, 3]
Generated Node #0,0: 46:[19, 68, 3] Operation: 80-77=3
Exploring Operation: 80-68=12, Resulting Numbers: [19, 77, 12]
Generated Node #0,1: 46:[19, 77, 12] Operation: 80-68=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[19, 68, 3], Operations: ['80-77=3']
Exploring Operation: 19+3=22, Resulting Numbers: [68, 22]
Generated Node #0,0,0: 46:[68, 22] Operation: 19+3=22
Exploring Operation: 68-19=49, Resulting Numbers: [3, 49]
Generated Node #0,0,1: 46:[3, 49] Operation: 68-19=49
Moving to Node #0,0,1
Current State: 46:[3, 49], Operations: ['80-77=3', '68-19=49']
Exploring Operation: 3+49=52, Resulting Numbers: [52]
52,46 unequal: No Solution
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[19, 68, 80, 77], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [19, 68, 3]
Generated Node #0,0: 46:[19, 68, 3] Operation: 80-77=3
Moving to Node #0,0
Current State: 46:[19, 68, 3], Operations: ['80-77=3']
Exploring Operation: 68-19=49, Resulting Numbers: [3, 49]
Generated Node #0,0,1: 46:[3, 49] Operation: 68-19=49
Moving to Node #0,0,1
Current State: 46:[3, 49], Operations: ['80-77=3', '68-19=49']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
68,
2,
98,
10
] | 59 | [
"68+10=78",
"78/2=39",
"98-39=59"
] | Current State: 59:[68, 2, 98, 10], Operations: []
Exploring Operation: 68+10=78, Resulting Numbers: [2, 98, 78]
Generated Node #2: [2, 98, 78] from Operation: 68+10=78
Current State: 59:[2, 98, 78], Operations: ['68+10=78']
Exploring Operation: 78/2=39, Resulting Numbers: [98, 39]
Generated Node #3: [98, 39] from Operation: 78/2=39
Current State: 59:[98, 39], Operations: ['68+10=78', '78/2=39']
Exploring Operation: 98-39=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[68, 2, 98, 10], Operations: []
Exploring Operation: 68-2=66, Resulting Numbers: [98, 10, 66]
Generated Node #0,0: 59:[98, 10, 66] Operation: 68-2=66
Exploring Operation: 98/2=49, Resulting Numbers: [68, 10, 49]
Generated Node #0,1: 59:[68, 10, 49] Operation: 98/2=49
Exploring Operation: 2*10=20, Resulting Numbers: [68, 98, 20]
Generated Node #0,2: 59:[68, 98, 20] Operation: 2*10=20
Exploring Operation: 98-2=96, Resulting Numbers: [68, 10, 96]
Generated Node #0,3: 59:[68, 10, 96] Operation: 98-2=96
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[68, 10, 49], Operations: ['98/2=49']
Exploring Operation: 68-10=58, Resulting Numbers: [49, 58]
Generated Node #0,1,0: 59:[49, 58] Operation: 68-10=58
Exploring Operation: 68+10=78, Resulting Numbers: [49, 78]
Generated Node #0,1,1: 59:[49, 78] Operation: 68+10=78
Exploring Operation: 49-10=39, Resulting Numbers: [68, 39]
Generated Node #0,1,2: 59:[68, 39] Operation: 49-10=39
Exploring Operation: 10+49=59, Resulting Numbers: [68, 59]
Generated Node #0,1,3: 59:[68, 59] Operation: 10+49=59
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 59:[68, 59], Operations: ['98/2=49', '10+49=59']
Exploring Operation: 68-59=9, Resulting Numbers: [9]
9,59 unequal: No Solution
Exploring Operation: 68*59=4012, Resulting Numbers: [4012]
4012,59 unequal: No Solution
Exploring Operation: 68+59=127, Resulting Numbers: [127]
127,59 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:[49, 58], Operations: ['98/2=49', '68-10=58']
Exploring Operation: 49*58=2842, Resulting Numbers: [2842]
2842,59 unequal: No Solution
Exploring Operation: 58-49=9, Resulting Numbers: [9]
9,59 unequal: No Solution
Exploring Operation: 49+58=107, Resulting Numbers: [107]
107,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 59:[49, 78], Operations: ['98/2=49', '68+10=78']
Exploring Operation: 49+78=127, Resulting Numbers: [127]
127,59 unequal: No Solution
Exploring Operation: 49*78=3822, Resulting Numbers: [3822]
3822,59 unequal: No Solution
Exploring Operation: 78-49=29, Resulting Numbers: [29]
29,59 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:[68, 39], Operations: ['98/2=49', '49-10=39']
Exploring Operation: 68+39=107, Resulting Numbers: [107]
107,59 unequal: No Solution
Exploring Operation: 68-39=29, Resulting Numbers: [29]
29,59 unequal: No Solution
Exploring Operation: 68*39=2652, Resulting Numbers: [2652]
2652,59 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:[68, 98, 20], Operations: ['2*10=20']
Exploring Operation: 98-20=78, Resulting Numbers: [68, 78]
Generated Node #0,2,0: 59:[68, 78] Operation: 98-20=78
Exploring Operation: 68+20=88, Resulting Numbers: [98, 88]
Generated Node #0,2,1: 59:[98, 88] Operation: 68+20=88
Exploring Operation: 68-20=48, Resulting Numbers: [98, 48]
Generated Node #0,2,2: 59:[98, 48] Operation: 68-20=48
Exploring Operation: 98-68=30, Resulting Numbers: [20, 30]
Generated Node #0,2,3: 59:[20, 30] Operation: 98-68=30
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 59:[68, 78], Operations: ['2*10=20', '98-20=78']
Exploring Operation: 68*78=5304, Resulting Numbers: [5304]
5304,59 unequal: No Solution
Exploring Operation: 78-68=10, Resulting Numbers: [10]
10,59 unequal: No Solution
Exploring Operation: 68+78=146, Resulting Numbers: [146]
146,59 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 #0,2,2
Current State: 59:[98, 48], Operations: ['2*10=20', '68-20=48']
Exploring Operation: 98+48=146, Resulting Numbers: [146]
146,59 unequal: No Solution
Exploring Operation: 98-48=50, Resulting Numbers: [50]
50,59 unequal: No Solution
Exploring Operation: 98*48=4704, Resulting Numbers: [4704]
4704,59 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 #0,2,1
Current State: 59:[98, 88], Operations: ['2*10=20', '68+20=88']
Exploring Operation: 98+88=186, Resulting Numbers: [186]
186,59 unequal: No Solution
Exploring Operation: 98-88=10, Resulting Numbers: [10]
10,59 unequal: No Solution
Exploring Operation: 98*88=8624, Resulting Numbers: [8624]
8624,59 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 #0,2,3
Current State: 59:[20, 30], Operations: ['2*10=20', '98-68=30']
Exploring Operation: 20*30=600, Resulting Numbers: [600]
600,59 unequal: No Solution
Exploring Operation: 20+30=50, Resulting Numbers: [50]
50,59 unequal: No Solution
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,59 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 #0,0
Current State: 59:[98, 10, 66], Operations: ['68-2=66']
Exploring Operation: 66-10=56, Resulting Numbers: [98, 56]
Generated Node #0,0,0: 59:[98, 56] Operation: 66-10=56
Exploring Operation: 98-10=88, Resulting Numbers: [66, 88]
Generated Node #0,0,1: 59:[66, 88] Operation: 98-10=88
Exploring Operation: 98+10=108, Resulting Numbers: [66, 108]
Generated Node #0,0,2: 59:[66, 108] Operation: 98+10=108
Exploring Operation: 10+66=76, Resulting Numbers: [98, 76]
Generated Node #0,0,3: 59:[98, 76] Operation: 10+66=76
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 59:[66, 88], Operations: ['68-2=66', '98-10=88']
Exploring Operation: 66*88=5808, Resulting Numbers: [5808]
5808,59 unequal: No Solution
Exploring Operation: 66+88=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Exploring Operation: 88-66=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 #0,0,0
Current State: 59:[98, 56], Operations: ['68-2=66', '66-10=56']
Exploring Operation: 98-56=42, Resulting Numbers: [42]
42,59 unequal: No Solution
Exploring Operation: 98*56=5488, Resulting Numbers: [5488]
5488,59 unequal: No Solution
Exploring Operation: 98+56=154, Resulting Numbers: [154]
154,59 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:[66, 108], Operations: ['68-2=66', '98+10=108']
Exploring Operation: 108-66=42, Resulting Numbers: [42]
42,59 unequal: No Solution
Exploring Operation: 66+108=174, Resulting Numbers: [174]
174,59 unequal: No Solution
Exploring Operation: 66*108=7128, Resulting Numbers: [7128]
7128,59 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 #0,0,3
Current State: 59:[98, 76], Operations: ['68-2=66', '10+66=76']
Exploring Operation: 98+76=174, Resulting Numbers: [174]
174,59 unequal: No Solution
Exploring Operation: 98*76=7448, Resulting Numbers: [7448]
7448,59 unequal: No Solution
Exploring Operation: 98-76=22, Resulting Numbers: [22]
22,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 59:[68, 10, 96], Operations: ['98-2=96']
Exploring Operation: 68+10=78, Resulting Numbers: [96, 78]
Generated Node #0,3,0: 59:[96, 78] Operation: 68+10=78
Exploring Operation: 96-10=86, Resulting Numbers: [68, 86]
Generated Node #0,3,1: 59:[68, 86] Operation: 96-10=86
Exploring Operation: 68-10=58, Resulting Numbers: [96, 58]
Generated Node #0,3,2: 59:[96, 58] Operation: 68-10=58
Exploring Operation: 10+96=106, Resulting Numbers: [68, 106]
Generated Node #0,3,3: 59:[68, 106] Operation: 10+96=106
Moving to Node #0,3,1
Current State: 59:[68, 86], Operations: ['98-2=96', '96-10=86']
Exploring Operation: 68*86=5848, Resulting Numbers: [5848]
5848,59 unequal: No Solution
Exploring Operation: 86-68=18, Resulting Numbers: [18]
18,59 unequal: No Solution
Exploring Operation: 68+86=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[96, 58], Operations: ['98-2=96', '68-10=58']
Exploring Operation: 96-58=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 96*58=5568, Resulting Numbers: [5568]
5568,59 unequal: No Solution
Exploring Operation: 96+58=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[68, 106], Operations: ['98-2=96', '10+96=106']
Exploring Operation: 68*106=7208, Resulting Numbers: [7208]
7208,59 unequal: No Solution
Exploring Operation: 106-68=38, Resulting Numbers: [38]
38,59 unequal: No Solution
Exploring Operation: 68+106=174, Resulting Numbers: [174]
174,59 unequal: No Solution
Moving to Node #0,3,0
Current State: 59:[96, 78], Operations: ['98-2=96', '68+10=78']
Exploring Operation: 96*78=7488, Resulting Numbers: [7488]
7488,59 unequal: No Solution
Exploring Operation: 96-78=18, Resulting Numbers: [18]
18,59 unequal: No Solution
Exploring Operation: 96+78=174, Resulting Numbers: [174]
174,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
78,
32,
26,
91
] | 41 | [
"78/26=3",
"32+91=123",
"123/3=41"
] | Current State: 41:[78, 32, 26, 91], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [32, 91, 3]
Generated Node #2: [32, 91, 3] from Operation: 78/26=3
Current State: 41:[32, 91, 3], Operations: ['78/26=3']
Exploring Operation: 32+91=123, Resulting Numbers: [3, 123]
Generated Node #3: [3, 123] from Operation: 32+91=123
Current State: 41:[3, 123], Operations: ['78/26=3', '32+91=123']
Exploring Operation: 123/3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[78, 32, 26, 91], Operations: []
Exploring Operation: 78-26=52, Resulting Numbers: [32, 91, 52]
Generated Node #0,0: 41:[32, 91, 52] Operation: 78-26=52
Exploring Operation: 91-78=13, Resulting Numbers: [32, 26, 13]
Generated Node #0,1: 41:[32, 26, 13] Operation: 91-78=13
Exploring Operation: 78-32=46, Resulting Numbers: [26, 91, 46]
Generated Node #0,2: 41:[26, 91, 46] Operation: 78-32=46
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[32, 26, 13], Operations: ['91-78=13']
Exploring Operation: 32+13=45, Resulting Numbers: [26, 45]
Generated Node #0,1,0: 41:[26, 45] Operation: 32+13=45
Exploring Operation: 32-13=19, Resulting Numbers: [26, 19]
Generated Node #0,1,1: 41:[26, 19] Operation: 32-13=19
Exploring Operation: 26+13=39, Resulting Numbers: [32, 39]
Generated Node #0,1,2: 41:[32, 39] Operation: 26+13=39
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 41:[32, 39], Operations: ['91-78=13', '26+13=39']
Exploring Operation: 32*39=1248, Resulting Numbers: [1248]
1248,41 unequal: No Solution
Exploring Operation: 32+39=71, Resulting Numbers: [71]
71,41 unequal: No Solution
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 41:[26, 45], Operations: ['91-78=13', '32+13=45']
Exploring Operation: 45-26=19, Resulting Numbers: [19]
19,41 unequal: No Solution
Exploring Operation: 26+45=71, Resulting Numbers: [71]
71,41 unequal: No Solution
Exploring Operation: 26*45=1170, Resulting Numbers: [1170]
1170,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 41:[26, 19], Operations: ['91-78=13', '32-13=19']
Exploring Operation: 26*19=494, Resulting Numbers: [494]
494,41 unequal: No Solution
Exploring Operation: 26+19=45, Resulting Numbers: [45]
45,41 unequal: No Solution
Exploring Operation: 26-19=7, Resulting Numbers: [7]
7,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[32, 91, 52], Operations: ['78-26=52']
Exploring Operation: 52-32=20, Resulting Numbers: [91, 20]
Generated Node #0,0,0: 41:[91, 20] Operation: 52-32=20
Exploring Operation: 91-52=39, Resulting Numbers: [32, 39]
Generated Node #0,0,1: 41:[32, 39] Operation: 91-52=39
Exploring Operation: 91-32=59, Resulting Numbers: [52, 59]
Generated Node #0,0,2: 41:[52, 59] Operation: 91-32=59
Moving to Node #0,0,1
Current State: 41:[32, 39], Operations: ['78-26=52', '91-52=39']
Exploring Operation: 32*39=1248, Resulting Numbers: [1248]
1248,41 unequal: No Solution
Exploring Operation: 32+39=71, Resulting Numbers: [71]
71,41 unequal: No Solution
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[52, 59], Operations: ['78-26=52', '91-32=59']
Exploring Operation: 52*59=3068, Resulting Numbers: [3068]
3068,41 unequal: No Solution
Exploring Operation: 52+59=111, Resulting Numbers: [111]
111,41 unequal: No Solution
Exploring Operation: 59-52=7, Resulting Numbers: [7]
7,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[91, 20], Operations: ['78-26=52', '52-32=20']
Exploring Operation: 91*20=1820, Resulting Numbers: [1820]
1820,41 unequal: No Solution
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,41 unequal: No Solution
Exploring Operation: 91+20=111, Resulting Numbers: [111]
111,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 41:[26, 91, 46], Operations: ['78-32=46']
Exploring Operation: 91-26=65, Resulting Numbers: [46, 65]
Generated Node #0,2,0: 41:[46, 65] Operation: 91-26=65
Exploring Operation: 91-46=45, Resulting Numbers: [26, 45]
Generated Node #0,2,1: 41:[26, 45] Operation: 91-46=45
Exploring Operation: 46-26=20, Resulting Numbers: [91, 20]
Generated Node #0,2,2: 41:[91, 20] Operation: 46-26=20
Moving to Node #0,2,1
Current State: 41:[26, 45], Operations: ['78-32=46', '91-46=45']
Exploring Operation: 45-26=19, Resulting Numbers: [19]
19,41 unequal: No Solution
Exploring Operation: 26+45=71, Resulting Numbers: [71]
71,41 unequal: No Solution
Exploring Operation: 26*45=1170, Resulting Numbers: [1170]
1170,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[46, 65], Operations: ['78-32=46', '91-26=65']
Exploring Operation: 46+65=111, Resulting Numbers: [111]
111,41 unequal: No Solution
Exploring Operation: 65-46=19, Resulting Numbers: [19]
19,41 unequal: No Solution
Exploring Operation: 46*65=2990, Resulting Numbers: [2990]
2990,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[91, 20], Operations: ['78-32=46', '46-26=20']
Exploring Operation: 91*20=1820, Resulting Numbers: [1820]
1820,41 unequal: No Solution
Exploring Operation: 91+20=111, Resulting Numbers: [111]
111,41 unequal: No Solution
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,41 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 |
[
30,
77,
54,
27
] | 59 | [
"30-27=3",
"54/3=18",
"77-18=59"
] | Current State: 59:[30, 77, 54, 27], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [77, 54, 3]
Generated Node #2: [77, 54, 3] from Operation: 30-27=3
Current State: 59:[77, 54, 3], Operations: ['30-27=3']
Exploring Operation: 54/3=18, Resulting Numbers: [77, 18]
Generated Node #3: [77, 18] from Operation: 54/3=18
Current State: 59:[77, 18], Operations: ['30-27=3', '54/3=18']
Exploring Operation: 77-18=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[30, 77, 54, 27], Operations: []
Exploring Operation: 30+27=57, Resulting Numbers: [77, 54, 57]
Generated Node #0,0: 59:[77, 54, 57] Operation: 30+27=57
Exploring Operation: 77-27=50, Resulting Numbers: [30, 54, 50]
Generated Node #0,1: 59:[30, 54, 50] Operation: 77-27=50
Exploring Operation: 30+54=84, Resulting Numbers: [77, 27, 84]
Generated Node #0,2: 59:[77, 27, 84] Operation: 30+54=84
Exploring Operation: 54+27=81, Resulting Numbers: [30, 77, 81]
Generated Node #0,3: 59:[30, 77, 81] Operation: 54+27=81
Exploring Operation: 77-30=47, Resulting Numbers: [54, 27, 47]
Generated Node #0,4: 59:[54, 27, 47] Operation: 77-30=47
Moving to Node #0,0
Current State: 59:[77, 54, 57], Operations: ['30+27=57']
Exploring Operation: 54+57=111, Resulting Numbers: [77, 111]
Generated Node #0,0,0: 59:[77, 111] Operation: 54+57=111
Exploring Operation: 57-54=3, Resulting Numbers: [77, 3]
Generated Node #0,0,1: 59:[77, 3] Operation: 57-54=3
Exploring Operation: 77+54=131, Resulting Numbers: [57, 131]
Generated Node #0,0,2: 59:[57, 131] Operation: 77+54=131
Exploring Operation: 77-54=23, Resulting Numbers: [57, 23]
Generated Node #0,0,3: 59:[57, 23] Operation: 77-54=23
Exploring Operation: 77-57=20, Resulting Numbers: [54, 20]
Generated Node #0,0,4: 59:[54, 20] Operation: 77-57=20
Moving to Node #0,1
Current State: 59:[30, 54, 50], Operations: ['77-27=50']
Exploring Operation: 54+50=104, Resulting Numbers: [30, 104]
Generated Node #0,1,0: 59:[30, 104] Operation: 54+50=104
Exploring Operation: 50-30=20, Resulting Numbers: [54, 20]
Generated Node #0,1,1: 59:[54, 20] Operation: 50-30=20
Exploring Operation: 54-30=24, Resulting Numbers: [50, 24]
Generated Node #0,1,2: 59:[50, 24] Operation: 54-30=24
Exploring Operation: 30+50=80, Resulting Numbers: [54, 80]
Generated Node #0,1,3: 59:[54, 80] Operation: 30+50=80
Exploring Operation: 30+54=84, Resulting Numbers: [50, 84]
Generated Node #0,1,4: 59:[50, 84] Operation: 30+54=84
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 59:[54, 80], Operations: ['77-27=50', '30+50=80']
Exploring Operation: 54+80=134, Resulting Numbers: [134]
134,59 unequal: No Solution
Exploring Operation: 80-54=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Exploring Operation: 54*80=4320, Resulting Numbers: [4320]
4320,59 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 #0,1,4
Current State: 59:[50, 84], Operations: ['77-27=50', '30+54=84']
Exploring Operation: 50*84=4200, Resulting Numbers: [4200]
4200,59 unequal: No Solution
Exploring Operation: 84-50=34, Resulting Numbers: [34]
34,59 unequal: No Solution
Exploring Operation: 50+84=134, Resulting Numbers: [134]
134,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 59:[54, 20], Operations: ['77-27=50', '50-30=20']
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,59 unequal: No Solution
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,59 unequal: No Solution
Exploring Operation: 54*20=1080, Resulting Numbers: [1080]
1080,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 59:[50, 24], Operations: ['77-27=50', '54-30=24']
Exploring Operation: 50+24=74, Resulting Numbers: [74]
74,59 unequal: No Solution
Exploring Operation: 50*24=1200, Resulting Numbers: [1200]
1200,59 unequal: No Solution
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,59 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 #0,1,0
Current State: 59:[30, 104], Operations: ['77-27=50', '54+50=104']
Exploring Operation: 30+104=134, Resulting Numbers: [134]
134,59 unequal: No Solution
Exploring Operation: 104-30=74, Resulting Numbers: [74]
74,59 unequal: No Solution
Exploring Operation: 30*104=3120, Resulting Numbers: [3120]
3120,59 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: 59:[54, 27, 47], Operations: ['77-30=47']
Exploring Operation: 54+27=81, Resulting Numbers: [47, 81]
Generated Node #0,4,0: 59:[47, 81] Operation: 54+27=81
Exploring Operation: 47-27=20, Resulting Numbers: [54, 20]
Generated Node #0,4,1: 59:[54, 20] Operation: 47-27=20
Exploring Operation: 27+47=74, Resulting Numbers: [54, 74]
Generated Node #0,4,2: 59:[54, 74] Operation: 27+47=74
Exploring Operation: 54/27=2, Resulting Numbers: [47, 2]
Generated Node #0,4,3: 59:[47, 2] Operation: 54/27=2
Exploring Operation: 54-27=27, Resulting Numbers: [47, 27]
Generated Node #0,4,4: 59:[47, 27] Operation: 54-27=27
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 59:[54, 74], Operations: ['77-30=47', '27+47=74']
Exploring Operation: 74-54=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Exploring Operation: 54+74=128, Resulting Numbers: [128]
128,59 unequal: No Solution
Exploring Operation: 54*74=3996, Resulting Numbers: [3996]
3996,59 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 #0,4,0
Current State: 59:[47, 81], Operations: ['77-30=47', '54+27=81']
Exploring Operation: 47*81=3807, Resulting Numbers: [3807]
3807,59 unequal: No Solution
Exploring Operation: 47+81=128, Resulting Numbers: [128]
128,59 unequal: No Solution
Exploring Operation: 81-47=34, Resulting Numbers: [34]
34,59 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 #0,4,1
Current State: 59:[54, 20], Operations: ['77-30=47', '47-27=20']
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,59 unequal: No Solution
Exploring Operation: 54*20=1080, Resulting Numbers: [1080]
1080,59 unequal: No Solution
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,59 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 #0,4,4
Current State: 59:[47, 27], Operations: ['77-30=47', '54-27=27']
Exploring Operation: 47*27=1269, Resulting Numbers: [1269]
1269,59 unequal: No Solution
Exploring Operation: 47-27=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Exploring Operation: 47+27=74, Resulting Numbers: [74]
74,59 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 #0,4,3
Current State: 59:[47, 2], Operations: ['77-30=47', '54/27=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,59 unequal: No Solution
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,59 unequal: No Solution
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 59:[30, 77, 81], Operations: ['54+27=81']
Exploring Operation: 30+81=111, Resulting Numbers: [77, 111]
Generated Node #0,3,0: 59:[77, 111] Operation: 30+81=111
Exploring Operation: 81-77=4, Resulting Numbers: [30, 4]
Generated Node #0,3,1: 59:[30, 4] Operation: 81-77=4
Exploring Operation: 81-30=51, Resulting Numbers: [77, 51]
Generated Node #0,3,2: 59:[77, 51] Operation: 81-30=51
Exploring Operation: 77-30=47, Resulting Numbers: [81, 47]
Generated Node #0,3,3: 59:[81, 47] Operation: 77-30=47
Exploring Operation: 30+77=107, Resulting Numbers: [81, 107]
Generated Node #0,3,4: 59:[81, 107] Operation: 30+77=107
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 59:[77, 51], Operations: ['54+27=81', '81-30=51']
Exploring Operation: 77+51=128, Resulting Numbers: [128]
128,59 unequal: No Solution
Exploring Operation: 77*51=3927, Resulting Numbers: [3927]
3927,59 unequal: No Solution
Exploring Operation: 77-51=26, Resulting Numbers: [26]
26,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 59:[81, 47], Operations: ['54+27=81', '77-30=47']
Exploring Operation: 81*47=3807, Resulting Numbers: [3807]
3807,59 unequal: No Solution
Exploring Operation: 81+47=128, Resulting Numbers: [128]
128,59 unequal: No Solution
Exploring Operation: 81-47=34, Resulting Numbers: [34]
34,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 59:[77, 111], Operations: ['54+27=81', '30+81=111']
Exploring Operation: 77*111=8547, Resulting Numbers: [8547]
8547,59 unequal: No Solution
Exploring Operation: 77+111=188, Resulting Numbers: [188]
188,59 unequal: No Solution
Exploring Operation: 111-77=34, Resulting Numbers: [34]
34,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 59:[81, 107], Operations: ['54+27=81', '30+77=107']
Exploring Operation: 81+107=188, Resulting Numbers: [188]
188,59 unequal: No Solution
Exploring Operation: 107-81=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Exploring Operation: 81*107=8667, Resulting Numbers: [8667]
8667,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 59:[30, 4], Operations: ['54+27=81', '81-77=4']
Exploring Operation: 30*4=120, Resulting Numbers: [120]
120,59 unequal: No Solution
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,59 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 59:[77, 27, 84], Operations: ['30+54=84']
Exploring Operation: 77-27=50, Resulting Numbers: [84, 50]
Generated Node #0,2,0: 59:[84, 50] Operation: 77-27=50
Exploring Operation: 27+84=111, Resulting Numbers: [77, 111]
Generated Node #0,2,1: 59:[77, 111] Operation: 27+84=111
Exploring Operation: 84-27=57, Resulting Numbers: [77, 57]
Generated Node #0,2,2: 59:[77, 57] Operation: 84-27=57
Exploring Operation: 77+27=104, Resulting Numbers: [84, 104]
Generated Node #0,2,3: 59:[84, 104] Operation: 77+27=104
Exploring Operation: 84-77=7, Resulting Numbers: [27, 7]
Generated Node #0,2,4: 59:[27, 7] Operation: 84-77=7
Moving to Node #0,2,2
Current State: 59:[77, 57], Operations: ['30+54=84', '84-27=57']
Exploring Operation: 77-57=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Exploring Operation: 77*57=4389, Resulting Numbers: [4389]
4389,59 unequal: No Solution
Exploring Operation: 77+57=134, Resulting Numbers: [134]
134,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[84, 50], Operations: ['30+54=84', '77-27=50']
Exploring Operation: 84+50=134, Resulting Numbers: [134]
134,59 unequal: No Solution
Exploring Operation: 84-50=34, Resulting Numbers: [34]
34,59 unequal: No Solution
Exploring Operation: 84*50=4200, Resulting Numbers: [4200]
4200,59 unequal: No Solution
Moving to Node #0,0,3
Current State: 59:[57, 23], Operations: ['30+27=57', '77-54=23']
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,59 unequal: No Solution
Exploring Operation: 57*23=1311, Resulting Numbers: [1311]
1311,59 unequal: No Solution
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,59 unequal: No Solution
Moving to Node #0,0,4
Current State: 59:[54, 20], Operations: ['30+27=57', '77-57=20']
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,59 unequal: No Solution
Exploring Operation: 54*20=1080, Resulting Numbers: [1080]
1080,59 unequal: No Solution
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[77, 111], Operations: ['30+27=57', '54+57=111']
Exploring Operation: 111-77=34, Resulting Numbers: [34]
34,59 unequal: No Solution
Exploring Operation: 77*111=8547, Resulting Numbers: [8547]
8547,59 unequal: No Solution
Exploring Operation: 77+111=188, Resulting Numbers: [188]
188,59 unequal: No Solution
Moving to Node #0,2,3
Current State: 59:[84, 104], Operations: ['30+54=84', '77+27=104']
Exploring Operation: 84+104=188, Resulting Numbers: [188]
188,59 unequal: No Solution
Exploring Operation: 104-84=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Exploring Operation: 84*104=8736, Resulting Numbers: [8736]
8736,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[77, 111], Operations: ['30+54=84', '27+84=111']
Exploring Operation: 77*111=8547, Resulting Numbers: [8547]
8547,59 unequal: No Solution
Exploring Operation: 111-77=34, Resulting Numbers: [34]
34,59 unequal: No Solution
Exploring Operation: 77+111=188, Resulting Numbers: [188]
188,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[77, 3], Operations: ['30+27=57', '57-54=3']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,59 unequal: No Solution
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,59 unequal: No Solution
Exploring Operation: 77*3=231, Resulting Numbers: [231]
231,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[57, 131], Operations: ['30+27=57', '77+54=131']
Exploring Operation: 57*131=7467, Resulting Numbers: [7467]
7467,59 unequal: No Solution
Exploring Operation: 57+131=188, Resulting Numbers: [188]
188,59 unequal: No Solution
Exploring Operation: 131-57=74, Resulting Numbers: [74]
74,59 unequal: No Solution
Moving to Node #0,2,4
Current State: 59:[27, 7], Operations: ['30+54=84', '84-77=7']
Exploring Operation: 27*7=189, Resulting Numbers: [189]
189,59 unequal: No Solution
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,59 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,59 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
56,
1,
3,
54
] | 35 | [
"56+1=57",
"57/3=19",
"54-19=35"
] | Current State: 35:[56, 1, 3, 54], Operations: []
Exploring Operation: 56+1=57, Resulting Numbers: [3, 54, 57]
Generated Node #2: [3, 54, 57] from Operation: 56+1=57
Current State: 35:[3, 54, 57], Operations: ['56+1=57']
Exploring Operation: 57/3=19, Resulting Numbers: [54, 19]
Generated Node #3: [54, 19] from Operation: 57/3=19
Current State: 35:[54, 19], Operations: ['56+1=57', '57/3=19']
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[56, 1, 3, 54], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [1, 3, 2]
Generated Node #0,0: 35:[1, 3, 2] Operation: 56-54=2
Exploring Operation: 54/3=18, Resulting Numbers: [56, 1, 18]
Generated Node #0,1: 35:[56, 1, 18] Operation: 54/3=18
Moving to Node #0,0
Current State: 35:[1, 3, 2], Operations: ['56-54=2']
Exploring Operation: 1+2=3, Resulting Numbers: [3, 3]
Generated Node #0,0,0: 35:[3, 3] Operation: 1+2=3
Exploring Operation: 1+3=4, Resulting Numbers: [2, 4]
Generated Node #0,0,1: 35:[2, 4] Operation: 1+3=4
Moving to Node #0,1
Current State: 35:[56, 1, 18], Operations: ['54/3=18']
Exploring Operation: 56-18=38, Resulting Numbers: [1, 38]
Generated Node #0,1,0: 35:[1, 38] Operation: 56-18=38
Exploring Operation: 56-1=55, Resulting Numbers: [18, 55]
Generated Node #0,1,1: 35:[18, 55] Operation: 56-1=55
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 35:[1, 38], Operations: ['54/3=18', '56-18=38']
Exploring Operation: 1*38=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 35:[18, 55], Operations: ['54/3=18', '56-1=55']
Exploring Operation: 18+55=73, Resulting Numbers: [73]
73,35 unequal: No Solution
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,35 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: 35:[3, 3], Operations: ['56-54=2', '1+2=3']
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,35 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[2, 4], Operations: ['56-54=2', '1+3=4']
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,35 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
15,
75,
54,
35
] | 21 | [
"15+75=90",
"54*35=1890",
"1890/90=21"
] | Current State: 21:[15, 75, 54, 35], Operations: []
Exploring Operation: 15+75=90, Resulting Numbers: [54, 35, 90]
Generated Node #2: [54, 35, 90] from Operation: 15+75=90
Current State: 21:[54, 35, 90], Operations: ['15+75=90']
Exploring Operation: 54*35=1890, Resulting Numbers: [90, 1890]
Generated Node #3: [90, 1890] from Operation: 54*35=1890
Current State: 21:[90, 1890], Operations: ['15+75=90', '54*35=1890']
Exploring Operation: 1890/90=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[15, 75, 54, 35], Operations: []
Exploring Operation: 75-54=21, Resulting Numbers: [15, 35, 21]
Generated Node #0,0: 21:[15, 35, 21] Operation: 75-54=21
Exploring Operation: 75/15=5, Resulting Numbers: [54, 35, 5]
Generated Node #0,1: 21:[54, 35, 5] Operation: 75/15=5
Moving to Node #0,0
Current State: 21:[15, 35, 21], Operations: ['75-54=21']
Exploring Operation: 35-15=20, Resulting Numbers: [21, 20]
Generated Node #0,0,0: 21:[21, 20] Operation: 35-15=20
Exploring Operation: 35-21=14, Resulting Numbers: [15, 14]
Generated Node #0,0,1: 21:[15, 14] Operation: 35-21=14
Moving to Node #0,1
Current State: 21:[54, 35, 5], Operations: ['75/15=5']
Exploring Operation: 54-35=19, Resulting Numbers: [5, 19]
Generated Node #0,1,0: 21:[5, 19] Operation: 54-35=19
Exploring Operation: 35/5=7, Resulting Numbers: [54, 7]
Generated Node #0,1,1: 21:[54, 7] Operation: 35/5=7
Moving to Node #0,0,0
Current State: 21:[21, 20], Operations: ['75-54=21', '35-15=20']
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Exploring Operation: 21+20=41, Resulting Numbers: [41]
41,21 unequal: No Solution
Moving to Node #0,1,0
Current State: 21:[5, 19], Operations: ['75/15=5', '54-35=19']
Exploring Operation: 5+19=24, Resulting Numbers: [24]
24,21 unequal: No Solution
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,21 unequal: No Solution
Moving to Node #0,0,1
Current State: 21:[15, 14], Operations: ['75-54=21', '35-21=14']
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,21 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Moving to Node #0,1,1
Current State: 21:[54, 7], Operations: ['75/15=5', '35/5=7']
Exploring Operation: 54-7=47, Resulting Numbers: [47]
47,21 unequal: No Solution
Exploring Operation: 54+7=61, Resulting Numbers: [61]
61,21 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
82,
2,
78,
12
] | 74 | [
"82*2=164",
"78+12=90",
"164-90=74"
] | Current State: 74:[82, 2, 78, 12], Operations: []
Exploring Operation: 82*2=164, Resulting Numbers: [78, 12, 164]
Generated Node #2: [78, 12, 164] from Operation: 82*2=164
Current State: 74:[78, 12, 164], Operations: ['82*2=164']
Exploring Operation: 78+12=90, Resulting Numbers: [164, 90]
Generated Node #3: [164, 90] from Operation: 78+12=90
Current State: 74:[164, 90], Operations: ['82*2=164', '78+12=90']
Exploring Operation: 164-90=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[82, 2, 78, 12], Operations: []
Exploring Operation: 82-78=4, Resulting Numbers: [2, 12, 4]
Generated Node #0,0: 74:[2, 12, 4] Operation: 82-78=4
Exploring Operation: 82-12=70, Resulting Numbers: [2, 78, 70]
Generated Node #0,1: 74:[2, 78, 70] Operation: 82-12=70
Exploring Operation: 12/2=6, Resulting Numbers: [82, 78, 6]
Generated Node #0,2: 74:[82, 78, 6] Operation: 12/2=6
Moving to Node #0,1
Current State: 74:[2, 78, 70], Operations: ['82-12=70']
Exploring Operation: 2+70=72, Resulting Numbers: [78, 72]
Generated Node #0,1,0: 74:[78, 72] Operation: 2+70=72
Exploring Operation: 78/2=39, Resulting Numbers: [70, 39]
Generated Node #0,1,1: 74:[70, 39] Operation: 78/2=39
Exploring Operation: 78-2=76, Resulting Numbers: [70, 76]
Generated Node #0,1,2: 74:[70, 76] Operation: 78-2=76
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 74:[78, 72], Operations: ['82-12=70', '2+70=72']
Exploring Operation: 78-72=6, Resulting Numbers: [6]
6,74 unequal: No Solution
Exploring Operation: 78*72=5616, Resulting Numbers: [5616]
5616,74 unequal: No Solution
Exploring Operation: 78+72=150, Resulting Numbers: [150]
150,74 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 #0,1,1
Current State: 74:[70, 39], Operations: ['82-12=70', '78/2=39']
Exploring Operation: 70+39=109, Resulting Numbers: [109]
109,74 unequal: No Solution
Exploring Operation: 70*39=2730, Resulting Numbers: [2730]
2730,74 unequal: No Solution
Exploring Operation: 70-39=31, Resulting Numbers: [31]
31,74 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 #0,1,2
Current State: 74:[70, 76], Operations: ['82-12=70', '78-2=76']
Exploring Operation: 70+76=146, Resulting Numbers: [146]
146,74 unequal: No Solution
Exploring Operation: 76-70=6, Resulting Numbers: [6]
6,74 unequal: No Solution
Exploring Operation: 70*76=5320, Resulting Numbers: [5320]
5320,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 74:[2, 12, 4], Operations: ['82-78=4']
Exploring Operation: 12-4=8, Resulting Numbers: [2, 8]
Generated Node #0,0,0: 74:[2, 8] Operation: 12-4=8
Exploring Operation: 12/4=3, Resulting Numbers: [2, 3]
Generated Node #0,0,1: 74:[2, 3] Operation: 12/4=3
Exploring Operation: 12/2=6, Resulting Numbers: [4, 6]
Generated Node #0,0,2: 74:[4, 6] Operation: 12/2=6
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 74:[2, 3], Operations: ['82-78=4', '12/4=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,74 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[2, 8], Operations: ['82-78=4', '12-4=8']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,74 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,74 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 74:[4, 6], Operations: ['82-78=4', '12/2=6']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,74 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 74:[82, 78, 6], Operations: ['12/2=6']
Exploring Operation: 82-6=76, Resulting Numbers: [78, 76]
Generated Node #0,2,0: 74:[78, 76] Operation: 82-6=76
Exploring Operation: 82-78=4, Resulting Numbers: [6, 4]
Generated Node #0,2,1: 74:[6, 4] Operation: 82-78=4
Exploring Operation: 78-6=72, Resulting Numbers: [82, 72]
Generated Node #0,2,2: 74:[82, 72] Operation: 78-6=72
Moving to Node #0,2,0
Current State: 74:[78, 76], Operations: ['12/2=6', '82-6=76']
Exploring Operation: 78+76=154, Resulting Numbers: [154]
154,74 unequal: No Solution
Exploring Operation: 78*76=5928, Resulting Numbers: [5928]
5928,74 unequal: No Solution
Exploring Operation: 78-76=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Moving to Node #0,2,1
Current State: 74:[6, 4], Operations: ['12/2=6', '82-78=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,74 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,74 unequal: No Solution
Moving to Node #0,2,2
Current State: 74:[82, 72], Operations: ['12/2=6', '78-6=72']
Exploring Operation: 82-72=10, Resulting Numbers: [10]
10,74 unequal: No Solution
Exploring Operation: 82+72=154, Resulting Numbers: [154]
154,74 unequal: No Solution
Exploring Operation: 82*72=5904, Resulting Numbers: [5904]
5904,74 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
83,
53,
12,
57
] | 80 | [
"57-53=4",
"12/4=3",
"83-3=80"
] | Current State: 80:[83, 53, 12, 57], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [83, 12, 4]
Generated Node #2: [83, 12, 4] from Operation: 57-53=4
Current State: 80:[83, 12, 4], Operations: ['57-53=4']
Exploring Operation: 12/4=3, Resulting Numbers: [83, 3]
Generated Node #3: [83, 3] from Operation: 12/4=3
Current State: 80:[83, 3], Operations: ['57-53=4', '12/4=3']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[83, 53, 12, 57], Operations: []
Exploring Operation: 83-57=26, Resulting Numbers: [53, 12, 26]
Generated Node #0,0: 80:[53, 12, 26] Operation: 83-57=26
Exploring Operation: 57-53=4, Resulting Numbers: [83, 12, 4]
Generated Node #0,1: 80:[83, 12, 4] Operation: 57-53=4
Exploring Operation: 53-12=41, Resulting Numbers: [83, 57, 41]
Generated Node #0,2: 80:[83, 57, 41] Operation: 53-12=41
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[83, 12, 4], Operations: ['57-53=4']
Exploring Operation: 12-4=8, Resulting Numbers: [83, 8]
Generated Node #0,1,0: 80:[83, 8] Operation: 12-4=8
Exploring Operation: 12+4=16, Resulting Numbers: [83, 16]
Generated Node #0,1,1: 80:[83, 16] Operation: 12+4=16
Exploring Operation: 83-4=79, Resulting Numbers: [12, 79]
Generated Node #0,1,2: 80:[12, 79] Operation: 83-4=79
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 80:[83, 8], Operations: ['57-53=4', '12-4=8']
Exploring Operation: 83*8=664, Resulting Numbers: [664]
664,80 unequal: No Solution
Exploring Operation: 83+8=91, Resulting Numbers: [91]
91,80 unequal: No Solution
Exploring Operation: 83-8=75, Resulting Numbers: [75]
75,80 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:[83, 16], Operations: ['57-53=4', '12+4=16']
Exploring Operation: 83-16=67, Resulting Numbers: [67]
67,80 unequal: No Solution
Exploring Operation: 83+16=99, Resulting Numbers: [99]
99,80 unequal: No Solution
Exploring Operation: 83*16=1328, Resulting Numbers: [1328]
1328,80 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 #0,1,2
Current State: 80:[12, 79], Operations: ['57-53=4', '83-4=79']
Exploring Operation: 12+79=91, Resulting Numbers: [91]
91,80 unequal: No Solution
Exploring Operation: 12*79=948, Resulting Numbers: [948]
948,80 unequal: No Solution
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,80 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:[53, 12, 26], Operations: ['83-57=26']
Exploring Operation: 53-26=27, Resulting Numbers: [12, 27]
Generated Node #0,0,0: 80:[12, 27] Operation: 53-26=27
Exploring Operation: 53+26=79, Resulting Numbers: [12, 79]
Generated Node #0,0,1: 80:[12, 79] Operation: 53+26=79
Exploring Operation: 53-12=41, Resulting Numbers: [26, 41]
Generated Node #0,0,2: 80:[26, 41] Operation: 53-12=41
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 80:[12, 79], Operations: ['83-57=26', '53+26=79']
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,80 unequal: No Solution
Exploring Operation: 12+79=91, Resulting Numbers: [91]
91,80 unequal: No Solution
Exploring Operation: 12*79=948, Resulting Numbers: [948]
948,80 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 #0,0,2
Current State: 80:[26, 41], Operations: ['83-57=26', '53-12=41']
Exploring Operation: 41-26=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Exploring Operation: 26*41=1066, Resulting Numbers: [1066]
1066,80 unequal: No Solution
Exploring Operation: 26+41=67, Resulting Numbers: [67]
67,80 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:[12, 27], Operations: ['83-57=26', '53-26=27']
Exploring Operation: 12+27=39, Resulting Numbers: [39]
39,80 unequal: No Solution
Exploring Operation: 12*27=324, Resulting Numbers: [324]
324,80 unequal: No Solution
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,80 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 #0,2
Current State: 80:[83, 57, 41], Operations: ['53-12=41']
Exploring Operation: 83-57=26, Resulting Numbers: [41, 26]
Generated Node #0,2,0: 80:[41, 26] Operation: 83-57=26
Exploring Operation: 83-41=42, Resulting Numbers: [57, 42]
Generated Node #0,2,1: 80:[57, 42] Operation: 83-41=42
Exploring Operation: 57-41=16, Resulting Numbers: [83, 16]
Generated Node #0,2,2: 80:[83, 16] Operation: 57-41=16
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 80:[83, 16], Operations: ['53-12=41', '57-41=16']
Exploring Operation: 83+16=99, Resulting Numbers: [99]
99,80 unequal: No Solution
Exploring Operation: 83*16=1328, Resulting Numbers: [1328]
1328,80 unequal: No Solution
Exploring Operation: 83-16=67, Resulting Numbers: [67]
67,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 80:[41, 26], Operations: ['53-12=41', '83-57=26']
Exploring Operation: 41-26=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Exploring Operation: 41+26=67, Resulting Numbers: [67]
67,80 unequal: No Solution
Exploring Operation: 41*26=1066, Resulting Numbers: [1066]
1066,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 80:[57, 42], Operations: ['53-12=41', '83-41=42']
Exploring Operation: 57-42=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Exploring Operation: 57+42=99, Resulting Numbers: [99]
99,80 unequal: No Solution
Exploring Operation: 57*42=2394, Resulting Numbers: [2394]
2394,80 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_3 | mult_heuristic |
[
91,
21,
37,
21
] | 54 | [
"91+21=112",
"37+21=58",
"112-58=54"
] | Current State: 54:[91, 21, 37, 21], Operations: []
Exploring Operation: 91+21=112, Resulting Numbers: [37, 112]
Generated Node #2: [37, 112] from Operation: 91+21=112
Current State: 54:[37, 112], Operations: ['91+21=112']
Exploring Operation: 37+21=58, Resulting Numbers: [112, 58]
Generated Node #3: [112, 58] from Operation: 37+21=58
Current State: 54:[112, 58], Operations: ['91+21=112', '37+21=58']
Exploring Operation: 112-58=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[91, 21, 37, 21], Operations: []
Exploring Operation: 91-37=54, Resulting Numbers: [21, 21, 54]
Generated Node #0,0: 54:[21, 21, 54] Operation: 91-37=54
Exploring Operation: 91-21=70, Resulting Numbers: [21, 37, 70]
Generated Node #0,1: 54:[21, 37, 70] Operation: 91-21=70
Exploring Operation: 91-21=70, Resulting Numbers: [37, 21, 70]
Generated Node #0,2: 54:[37, 21, 70] Operation: 91-21=70
Exploring Operation: 37-21=16, Resulting Numbers: [91, 21, 16]
Generated Node #0,3: 54:[91, 21, 16] Operation: 37-21=16
Exploring Operation: 37-21=16, Resulting Numbers: [91, 21, 16]
Generated Node #0,4: 54:[91, 21, 16] Operation: 37-21=16
Moving to Node #0,0
Current State: 54:[21, 21, 54], Operations: ['91-37=54']
Exploring Operation: 54-21=33, Resulting Numbers: [21, 33]
Generated Node #0,0,0: 54:[21, 33] Operation: 54-21=33
Exploring Operation: 21+21=42, Resulting Numbers: [54, 42]
Generated Node #0,0,1: 54:[54, 42] Operation: 21+21=42
Exploring Operation: 21-21=0, Resulting Numbers: [54, 0]
Generated Node #0,0,2: 54:[54, 0] Operation: 21-21=0
Exploring Operation: 21/21=1, Resulting Numbers: [54, 1]
Generated Node #0,0,3: 54:[54, 1] Operation: 21/21=1
Exploring Operation: 54-21=33, Resulting Numbers: [21, 33]
Generated Node #0,0,4: 54:[21, 33] Operation: 54-21=33
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 54:[54, 1], Operations: ['91-37=54', '21/21=1']
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[91, 21, 37, 21], Operations: []
Exploring Operation: 91-37=54, Resulting Numbers: [21, 21, 54]
Generated Node #0,0: 54:[21, 21, 54] Operation: 91-37=54
Moving to Node #0,0
Current State: 54:[21, 21, 54], Operations: ['91-37=54']
Exploring Operation: 21/21=1, Resulting Numbers: [54, 1]
Generated Node #0,0,3: 54:[54, 1] Operation: 21/21=1
Moving to Node #0,0,3
Current State: 54:[54, 1], Operations: ['91-37=54', '21/21=1']
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
7,
42,
49,
15
] | 63 | [
"49/7=7",
"15*7=105",
"105-42=63"
] | Current State: 63:[7, 42, 49, 15], Operations: []
Exploring Operation: 49/7=7, Resulting Numbers: [42, 15, 7]
Generated Node #2: [42, 15, 7] from Operation: 49/7=7
Current State: 63:[42, 15, 7], Operations: ['49/7=7']
Exploring Operation: 15*7=105, Resulting Numbers: [42, 105]
Generated Node #3: [42, 105] from Operation: 15*7=105
Current State: 63:[42, 105], Operations: ['49/7=7', '15*7=105']
Exploring Operation: 105-42=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[7, 42, 49, 15], Operations: []
Exploring Operation: 49-42=7, Resulting Numbers: [7, 15, 7]
Generated Node #0,0: 63:[7, 15, 7] Operation: 49-42=7
Moving to Node #0,0
Current State: 63:[7, 15, 7], Operations: ['49-42=7']
Exploring Operation: 7+15=22, Resulting Numbers: [7, 22]
Generated Node #0,0,0: 63:[7, 22] Operation: 7+15=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[7, 22], Operations: ['49-42=7', '7+15=22']
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
29,
28,
99,
5
] | 14 | [
"99-29=70",
"70/5=14",
"28-14=14"
] | Current State: 14:[29, 28, 99, 5], Operations: []
Exploring Operation: 99-29=70, Resulting Numbers: [28, 5, 70]
Generated Node #2: [28, 5, 70] from Operation: 99-29=70
Current State: 14:[28, 5, 70], Operations: ['99-29=70']
Exploring Operation: 70/5=14, Resulting Numbers: [28, 14]
Generated Node #3: [28, 14] from Operation: 70/5=14
Current State: 14:[28, 14], Operations: ['99-29=70', '70/5=14']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[29, 28, 99, 5], Operations: []
Exploring Operation: 99-28=71, Resulting Numbers: [29, 5, 71]
Generated Node #0,0: 14:[29, 5, 71] Operation: 99-28=71
Exploring Operation: 99-29=70, Resulting Numbers: [28, 5, 70]
Generated Node #0,1: 14:[28, 5, 70] Operation: 99-29=70
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[28, 5, 70], Operations: ['99-29=70']
Exploring Operation: 70-28=42, Resulting Numbers: [5, 42]
Generated Node #0,1,0: 14:[5, 42] Operation: 70-28=42
Exploring Operation: 70/5=14, Resulting Numbers: [28, 14]
Generated Node #0,1,1: 14:[28, 14] Operation: 70/5=14
Moving to Node #0,1,1
Current State: 14:[28, 14], Operations: ['99-29=70', '70/5=14']
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[29, 28, 99, 5], Operations: []
Exploring Operation: 99-29=70, Resulting Numbers: [28, 5, 70]
Generated Node #0,1: 14:[28, 5, 70] Operation: 99-29=70
Moving to Node #0,1
Current State: 14:[28, 5, 70], Operations: ['99-29=70']
Exploring Operation: 70/5=14, Resulting Numbers: [28, 14]
Generated Node #0,1,1: 14:[28, 14] Operation: 70/5=14
Moving to Node #0,1,1
Current State: 14:[28, 14], Operations: ['99-29=70', '70/5=14']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
65,
55,
13,
25
] | 22 | [
"65-55=10",
"25-13=12",
"10+12=22"
] | Current State: 22:[65, 55, 13, 25], Operations: []
Exploring Operation: 65-55=10, Resulting Numbers: [13, 25, 10]
Generated Node #2: [13, 25, 10] from Operation: 65-55=10
Current State: 22:[13, 25, 10], Operations: ['65-55=10']
Exploring Operation: 25-13=12, Resulting Numbers: [10, 12]
Generated Node #3: [10, 12] from Operation: 25-13=12
Current State: 22:[10, 12], Operations: ['65-55=10', '25-13=12']
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[65, 55, 13, 25], Operations: []
Exploring Operation: 65-55=10, Resulting Numbers: [13, 25, 10]
Generated Node #0,0: 22:[13, 25, 10] Operation: 65-55=10
Moving to Node #0,0
Current State: 22:[13, 25, 10], Operations: ['65-55=10']
Exploring Operation: 25-13=12, Resulting Numbers: [10, 12]
Generated Node #0,0,0: 22:[10, 12] Operation: 25-13=12
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[10, 12], Operations: ['65-55=10', '25-13=12']
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[65, 55, 13, 25], Operations: []
Exploring Operation: 65-55=10, Resulting Numbers: [13, 25, 10]
Generated Node #0,0: 22:[13, 25, 10] Operation: 65-55=10
Moving to Node #0,0
Current State: 22:[13, 25, 10], Operations: ['65-55=10']
Exploring Operation: 25-13=12, Resulting Numbers: [10, 12]
Generated Node #0,0,0: 22:[10, 12] Operation: 25-13=12
Moving to Node #0,0,0
Current State: 22:[10, 12], Operations: ['65-55=10', '25-13=12']
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
44,
66,
12,
45
] | 53 | [
"44+66=110",
"12+45=57",
"110-57=53"
] | Current State: 53:[44, 66, 12, 45], Operations: []
Exploring Operation: 44+66=110, Resulting Numbers: [12, 45, 110]
Generated Node #2: [12, 45, 110] from Operation: 44+66=110
Current State: 53:[12, 45, 110], Operations: ['44+66=110']
Exploring Operation: 12+45=57, Resulting Numbers: [110, 57]
Generated Node #3: [110, 57] from Operation: 12+45=57
Current State: 53:[110, 57], Operations: ['44+66=110', '12+45=57']
Exploring Operation: 110-57=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[44, 66, 12, 45], Operations: []
Exploring Operation: 66-12=54, Resulting Numbers: [44, 45, 54]
Generated Node #0,0: 53:[44, 45, 54] Operation: 66-12=54
Exploring Operation: 44+12=56, Resulting Numbers: [66, 45, 56]
Generated Node #0,1: 53:[66, 45, 56] Operation: 44+12=56
Moving to Node #0,0
Current State: 53:[44, 45, 54], Operations: ['66-12=54']
Exploring Operation: 54-44=10, Resulting Numbers: [45, 10]
Generated Node #0,0,0: 53:[45, 10] Operation: 54-44=10
Exploring Operation: 44+45=89, Resulting Numbers: [54, 89]
Generated Node #0,0,1: 53:[54, 89] Operation: 44+45=89
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 53:[54, 89], Operations: ['66-12=54', '44+45=89']
Exploring Operation: 54+89=143, Resulting Numbers: [143]
143,53 unequal: No Solution
Exploring Operation: 89-54=35, Resulting Numbers: [35]
35,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[45, 10], Operations: ['66-12=54', '54-44=10']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,53 unequal: No Solution
Exploring Operation: 45+10=55, Resulting Numbers: [55]
55,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 53:[66, 45, 56], Operations: ['44+12=56']
Exploring Operation: 66-56=10, Resulting Numbers: [45, 10]
Generated Node #0,1,0: 53:[45, 10] Operation: 66-56=10
Exploring Operation: 66-45=21, Resulting Numbers: [56, 21]
Generated Node #0,1,1: 53:[56, 21] Operation: 66-45=21
Moving to Node #0,1,1
Current State: 53:[56, 21], Operations: ['44+12=56', '66-45=21']
Exploring Operation: 56+21=77, Resulting Numbers: [77]
77,53 unequal: No Solution
Exploring Operation: 56-21=35, Resulting Numbers: [35]
35,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[45, 10], Operations: ['44+12=56', '66-56=10']
Exploring Operation: 45+10=55, Resulting Numbers: [55]
55,53 unequal: No Solution
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,53 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
83,
85,
27,
6
] | 66 | [
"85-83=2",
"27+6=33",
"2*33=66"
] | Current State: 66:[83, 85, 27, 6], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [27, 6, 2]
Generated Node #2: [27, 6, 2] from Operation: 85-83=2
Current State: 66:[27, 6, 2], Operations: ['85-83=2']
Exploring Operation: 27+6=33, Resulting Numbers: [2, 33]
Generated Node #3: [2, 33] from Operation: 27+6=33
Current State: 66:[2, 33], Operations: ['85-83=2', '27+6=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[83, 85, 27, 6], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [27, 6, 2]
Generated Node #0,0: 66:[27, 6, 2] Operation: 85-83=2
Exploring Operation: 83-6=77, Resulting Numbers: [85, 27, 77]
Generated Node #0,1: 66:[85, 27, 77] Operation: 83-6=77
Exploring Operation: 85-27=58, Resulting Numbers: [83, 6, 58]
Generated Node #0,2: 66:[83, 6, 58] Operation: 85-27=58
Exploring Operation: 83-27=56, Resulting Numbers: [85, 6, 56]
Generated Node #0,3: 66:[85, 6, 56] Operation: 83-27=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[27, 6, 2], Operations: ['85-83=2']
Exploring Operation: 27-2=25, Resulting Numbers: [6, 25]
Generated Node #0,0,0: 66:[6, 25] Operation: 27-2=25
Exploring Operation: 27+2=29, Resulting Numbers: [6, 29]
Generated Node #0,0,1: 66:[6, 29] Operation: 27+2=29
Exploring Operation: 27+6=33, Resulting Numbers: [2, 33]
Generated Node #0,0,2: 66:[2, 33] Operation: 27+6=33
Exploring Operation: 27-6=21, Resulting Numbers: [2, 21]
Generated Node #0,0,3: 66:[2, 21] Operation: 27-6=21
Moving to Node #0,0,2
Current State: 66:[2, 33], Operations: ['85-83=2', '27+6=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[83, 85, 27, 6], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [27, 6, 2]
Generated Node #0,0: 66:[27, 6, 2] Operation: 85-83=2
Moving to Node #0,0
Current State: 66:[27, 6, 2], Operations: ['85-83=2']
Exploring Operation: 27+6=33, Resulting Numbers: [2, 33]
Generated Node #0,0,2: 66:[2, 33] Operation: 27+6=33
Moving to Node #0,0,2
Current State: 66:[2, 33], Operations: ['85-83=2', '27+6=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
38,
1,
53,
3
] | 64 | [
"38+1=39",
"3*39=117",
"117-53=64"
] | Current State: 64:[38, 1, 53, 3], Operations: []
Exploring Operation: 38+1=39, Resulting Numbers: [53, 3, 39]
Generated Node #2: [53, 3, 39] from Operation: 38+1=39
Current State: 64:[53, 3, 39], Operations: ['38+1=39']
Exploring Operation: 3*39=117, Resulting Numbers: [53, 117]
Generated Node #3: [53, 117] from Operation: 3*39=117
Current State: 64:[53, 117], Operations: ['38+1=39', '3*39=117']
Exploring Operation: 117-53=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[38, 1, 53, 3], Operations: []
Exploring Operation: 53-38=15, Resulting Numbers: [1, 3, 15]
Generated Node #0,0: 64:[1, 3, 15] Operation: 53-38=15
Exploring Operation: 38-3=35, Resulting Numbers: [1, 53, 35]
Generated Node #0,1: 64:[1, 53, 35] Operation: 38-3=35
Moving to Node #0,0
Current State: 64:[1, 3, 15], Operations: ['53-38=15']
Exploring Operation: 3-1=2, Resulting Numbers: [15, 2]
Generated Node #0,0,0: 64:[15, 2] Operation: 3-1=2
Exploring Operation: 1+3=4, Resulting Numbers: [15, 4]
Generated Node #0,0,1: 64:[15, 4] Operation: 1+3=4
Moving to Node #0,1
Current State: 64:[1, 53, 35], Operations: ['38-3=35']
Exploring Operation: 1+53=54, Resulting Numbers: [35, 54]
Generated Node #0,1,0: 64:[35, 54] Operation: 1+53=54
Exploring Operation: 53-35=18, Resulting Numbers: [1, 18]
Generated Node #0,1,1: 64:[1, 18] Operation: 53-35=18
Moving to Node #0,0,0
Current State: 64:[15, 2], Operations: ['53-38=15', '3-1=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[15, 4], Operations: ['53-38=15', '1+3=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,64 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[1, 18], Operations: ['38-3=35', '53-35=18']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Exploring Operation: 1*18=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Moving to Node #0,1,0
Current State: 64:[35, 54], Operations: ['38-3=35', '1+53=54']
Exploring Operation: 54-35=19, Resulting Numbers: [19]
19,64 unequal: No Solution
Exploring Operation: 35+54=89, Resulting Numbers: [89]
89,64 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
7,
49,
43,
26
] | 16 | [
"49-43=6",
"7*6=42",
"42-26=16"
] | Current State: 16:[7, 49, 43, 26], Operations: []
Exploring Operation: 49-43=6, Resulting Numbers: [7, 26, 6]
Generated Node #2: [7, 26, 6] from Operation: 49-43=6
Current State: 16:[7, 26, 6], Operations: ['49-43=6']
Exploring Operation: 7*6=42, Resulting Numbers: [26, 42]
Generated Node #3: [26, 42] from Operation: 7*6=42
Current State: 16:[26, 42], Operations: ['49-43=6', '7*6=42']
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[7, 49, 43, 26], Operations: []
Exploring Operation: 49-7=42, Resulting Numbers: [43, 26, 42]
Generated Node #0,0: 16:[43, 26, 42] Operation: 49-7=42
Exploring Operation: 49/7=7, Resulting Numbers: [43, 26, 7]
Generated Node #0,1: 16:[43, 26, 7] Operation: 49/7=7
Exploring Operation: 49-43=6, Resulting Numbers: [7, 26, 6]
Generated Node #0,2: 16:[7, 26, 6] Operation: 49-43=6
Exploring Operation: 43-26=17, Resulting Numbers: [7, 49, 17]
Generated Node #0,3: 16:[7, 49, 17] Operation: 43-26=17
Exploring Operation: 49-26=23, Resulting Numbers: [7, 43, 23]
Generated Node #0,4: 16:[7, 43, 23] Operation: 49-26=23
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[7, 26, 6], Operations: ['49-43=6']
Exploring Operation: 7+6=13, Resulting Numbers: [26, 13]
Generated Node #0,2,0: 16:[26, 13] Operation: 7+6=13
Exploring Operation: 26-7=19, Resulting Numbers: [6, 19]
Generated Node #0,2,1: 16:[6, 19] Operation: 26-7=19
Exploring Operation: 26-6=20, Resulting Numbers: [7, 20]
Generated Node #0,2,2: 16:[7, 20] Operation: 26-6=20
Exploring Operation: 7-6=1, Resulting Numbers: [26, 1]
Generated Node #0,2,3: 16:[26, 1] Operation: 7-6=1
Exploring Operation: 26+6=32, Resulting Numbers: [7, 32]
Generated Node #0,2,4: 16:[7, 32] Operation: 26+6=32
Moving to Node #0,2,1
Current State: 16:[6, 19], Operations: ['49-43=6', '26-7=19']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 6*19=114, Resulting Numbers: [114]
114,16 unequal: No Solution
Moving to Node #0,2,2
Current State: 16:[7, 20], Operations: ['49-43=6', '26-6=20']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 7*20=140, Resulting Numbers: [140]
140,16 unequal: No Solution
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,16 unequal: No Solution
Moving to Node #0,2,3
Current State: 16:[26, 1], Operations: ['49-43=6', '7-6=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,16 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Moving to Node #0,2,0
Current State: 16:[26, 13], Operations: ['49-43=6', '7+6=13']
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 26+13=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 26*13=338, Resulting Numbers: [338]
338,16 unequal: No Solution
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Moving to Node #0,2,4
Current State: 16:[7, 32], Operations: ['49-43=6', '26+6=32']
Exploring Operation: 7*32=224, Resulting Numbers: [224]
224,16 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 16:[7, 49, 17], Operations: ['43-26=17']
Exploring Operation: 17-7=10, Resulting Numbers: [49, 10]
Generated Node #0,3,0: 16:[49, 10] Operation: 17-7=10
Exploring Operation: 49-17=32, Resulting Numbers: [7, 32]
Generated Node #0,3,1: 16:[7, 32] Operation: 49-17=32
Exploring Operation: 7+49=56, Resulting Numbers: [17, 56]
Generated Node #0,3,2: 16:[17, 56] Operation: 7+49=56
Exploring Operation: 49-7=42, Resulting Numbers: [17, 42]
Generated Node #0,3,3: 16:[17, 42] Operation: 49-7=42
Exploring Operation: 49/7=7, Resulting Numbers: [17, 7]
Generated Node #0,3,4: 16:[17, 7] Operation: 49/7=7
Moving to Node #0,3,4
Current State: 16:[17, 7], Operations: ['43-26=17', '49/7=7']
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 17*7=119, Resulting Numbers: [119]
119,16 unequal: No Solution
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,16 unequal: No Solution
Moving to Node #0,3,1
Current State: 16:[7, 32], Operations: ['43-26=17', '49-17=32']
Exploring Operation: 7*32=224, Resulting Numbers: [224]
224,16 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Moving to Node #0,3,3
Current State: 16:[17, 42], Operations: ['43-26=17', '49-7=42']
Exploring Operation: 17*42=714, Resulting Numbers: [714]
714,16 unequal: No Solution
Exploring Operation: 17+42=59, Resulting Numbers: [59]
59,16 unequal: No Solution
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Moving to Node #0,3,0
Current State: 16:[49, 10], Operations: ['43-26=17', '17-7=10']
Exploring Operation: 49+10=59, Resulting Numbers: [59]
59,16 unequal: No Solution
Exploring Operation: 49*10=490, Resulting Numbers: [490]
490,16 unequal: No Solution
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Moving to Node #0,3,2
Current State: 16:[17, 56], Operations: ['43-26=17', '7+49=56']
Exploring Operation: 17+56=73, Resulting Numbers: [73]
73,16 unequal: No Solution
Exploring Operation: 17*56=952, Resulting Numbers: [952]
952,16 unequal: No Solution
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 16:[7, 43, 23], Operations: ['49-26=23']
Exploring Operation: 23-7=16, Resulting Numbers: [43, 16]
Generated Node #0,4,0: 16:[43, 16] Operation: 23-7=16
Exploring Operation: 7+23=30, Resulting Numbers: [43, 30]
Generated Node #0,4,1: 16:[43, 30] Operation: 7+23=30
Exploring Operation: 43-23=20, Resulting Numbers: [7, 20]
Generated Node #0,4,2: 16:[7, 20] Operation: 43-23=20
Exploring Operation: 7+43=50, Resulting Numbers: [23, 50]
Generated Node #0,4,3: 16:[23, 50] Operation: 7+43=50
Exploring Operation: 43-7=36, Resulting Numbers: [23, 36]
Generated Node #0,4,4: 16:[23, 36] Operation: 43-7=36
Moving to Node #0,4,2
Current State: 16:[7, 20], Operations: ['49-26=23', '43-23=20']
Exploring Operation: 7*20=140, Resulting Numbers: [140]
140,16 unequal: No Solution
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,16 unequal: No Solution
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Moving to Node #0,4,4
Current State: 16:[23, 36], Operations: ['49-26=23', '43-7=36']
Exploring Operation: 23+36=59, Resulting Numbers: [59]
59,16 unequal: No Solution
Exploring Operation: 36-23=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 23*36=828, Resulting Numbers: [828]
828,16 unequal: No Solution
Moving to Node #0,4,0
Current State: 16:[43, 16], Operations: ['49-26=23', '23-7=16']
Exploring Operation: 43+16=59, Resulting Numbers: [59]
59,16 unequal: No Solution
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,16 unequal: No Solution
Exploring Operation: 43*16=688, Resulting Numbers: [688]
688,16 unequal: No Solution
Moving to Node #0,4,1
Current State: 16:[43, 30], Operations: ['49-26=23', '7+23=30']
Exploring Operation: 43+30=73, Resulting Numbers: [73]
73,16 unequal: No Solution
Exploring Operation: 43*30=1290, Resulting Numbers: [1290]
1290,16 unequal: No Solution
Exploring Operation: 43-30=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Moving to Node #0,4,3
Current State: 16:[23, 50], Operations: ['49-26=23', '7+43=50']
Exploring Operation: 23*50=1150, Resulting Numbers: [1150]
1150,16 unequal: No Solution
Exploring Operation: 23+50=73, Resulting Numbers: [73]
73,16 unequal: No Solution
Exploring Operation: 50-23=27, Resulting Numbers: [27]
27,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[43, 26, 7], Operations: ['49/7=7']
Exploring Operation: 43-26=17, Resulting Numbers: [7, 17]
Generated Node #0,1,0: 16:[7, 17] Operation: 43-26=17
Exploring Operation: 43+7=50, Resulting Numbers: [26, 50]
Generated Node #0,1,1: 16:[26, 50] Operation: 43+7=50
Exploring Operation: 26+7=33, Resulting Numbers: [43, 33]
Generated Node #0,1,2: 16:[43, 33] Operation: 26+7=33
Exploring Operation: 43-7=36, Resulting Numbers: [26, 36]
Generated Node #0,1,3: 16:[26, 36] Operation: 43-7=36
Exploring Operation: 26-7=19, Resulting Numbers: [43, 19]
Generated Node #0,1,4: 16:[43, 19] Operation: 26-7=19
Moving to Node #0,1,0
Current State: 16:[7, 17], Operations: ['49/7=7', '43-26=17']
Exploring Operation: 7+17=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,16 unequal: No Solution
Exploring Operation: 7*17=119, Resulting Numbers: [119]
119,16 unequal: No Solution
Moving to Node #0,1,4
Current State: 16:[43, 19], Operations: ['49/7=7', '26-7=19']
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 43*19=817, Resulting Numbers: [817]
817,16 unequal: No Solution
Exploring Operation: 43+19=62, Resulting Numbers: [62]
62,16 unequal: No Solution
Moving to Node #0,1,3
Current State: 16:[26, 36], Operations: ['49/7=7', '43-7=36']
Exploring Operation: 26*36=936, Resulting Numbers: [936]
936,16 unequal: No Solution
Exploring Operation: 36-26=10, Resulting Numbers: [10]
10,16 unequal: No Solution
Exploring Operation: 26+36=62, Resulting Numbers: [62]
62,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[26, 50], Operations: ['49/7=7', '43+7=50']
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 26+50=76, Resulting Numbers: [76]
76,16 unequal: No Solution
Exploring Operation: 26*50=1300, Resulting Numbers: [1300]
1300,16 unequal: No Solution
Moving to Node #0,1,2
Current State: 16:[43, 33], Operations: ['49/7=7', '26+7=33']
Exploring Operation: 43-33=10, Resulting Numbers: [10]
10,16 unequal: No Solution
Exploring Operation: 43+33=76, Resulting Numbers: [76]
76,16 unequal: No Solution
Exploring Operation: 43*33=1419, Resulting Numbers: [1419]
1419,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[43, 26, 42], Operations: ['49-7=42']
Exploring Operation: 43+26=69, Resulting Numbers: [42, 69]
Generated Node #0,0,0: 16:[42, 69] Operation: 43+26=69
Exploring Operation: 42-26=16, Resulting Numbers: [43, 16]
Generated Node #0,0,1: 16:[43, 16] Operation: 42-26=16
Exploring Operation: 43+42=85, Resulting Numbers: [26, 85]
Generated Node #0,0,2: 16:[26, 85] Operation: 43+42=85
Exploring Operation: 43-42=1, Resulting Numbers: [26, 1]
Generated Node #0,0,3: 16:[26, 1] Operation: 43-42=1
Exploring Operation: 43-26=17, Resulting Numbers: [42, 17]
Generated Node #0,0,4: 16:[42, 17] Operation: 43-26=17
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 16:[26, 1], Operations: ['49-7=42', '43-42=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,16 unequal: No Solution
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,16 unequal: No Solution
No 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: 16:[43, 16], Operations: ['49-7=42', '42-26=16']
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,16 unequal: No Solution
Exploring Operation: 43*16=688, Resulting Numbers: [688]
688,16 unequal: No Solution
Exploring Operation: 43+16=59, Resulting Numbers: [59]
59,16 unequal: No Solution
No 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: 16:[42, 17], Operations: ['49-7=42', '43-26=17']
Exploring Operation: 42*17=714, Resulting Numbers: [714]
714,16 unequal: No Solution
Exploring Operation: 42+17=59, Resulting Numbers: [59]
59,16 unequal: No Solution
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,16 unequal: No Solution
No 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: 16:[42, 69], Operations: ['49-7=42', '43+26=69']
Exploring Operation: 42+69=111, Resulting Numbers: [111]
111,16 unequal: No Solution
Exploring Operation: 42*69=2898, Resulting Numbers: [2898]
2898,16 unequal: No Solution
Exploring Operation: 69-42=27, Resulting Numbers: [27]
27,16 unequal: No Solution
No 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: 16:[26, 85], Operations: ['49-7=42', '43+42=85']
Exploring Operation: 26+85=111, Resulting Numbers: [111]
111,16 unequal: No Solution
Exploring Operation: 26*85=2210, Resulting Numbers: [2210]
2210,16 unequal: No Solution
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
85,
16,
43,
9
] | 72 | [
"85+43=128",
"128/16=8",
"9*8=72"
] | Current State: 72:[85, 16, 43, 9], Operations: []
Exploring Operation: 85+43=128, Resulting Numbers: [16, 9, 128]
Generated Node #2: [16, 9, 128] from Operation: 85+43=128
Current State: 72:[16, 9, 128], Operations: ['85+43=128']
Exploring Operation: 128/16=8, Resulting Numbers: [9, 8]
Generated Node #3: [9, 8] from Operation: 128/16=8
Current State: 72:[9, 8], Operations: ['85+43=128', '128/16=8']
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[85, 16, 43, 9], Operations: []
Exploring Operation: 43-16=27, Resulting Numbers: [85, 9, 27]
Generated Node #0,0: 72:[85, 9, 27] Operation: 43-16=27
Exploring Operation: 85-16=69, Resulting Numbers: [43, 9, 69]
Generated Node #0,1: 72:[43, 9, 69] Operation: 85-16=69
Exploring Operation: 85-9=76, Resulting Numbers: [16, 43, 76]
Generated Node #0,2: 72:[16, 43, 76] Operation: 85-9=76
Exploring Operation: 85-43=42, Resulting Numbers: [16, 9, 42]
Generated Node #0,3: 72:[16, 9, 42] Operation: 85-43=42
Start Sub Search at level 1: Moving to Node #0,3
Current State: 72:[16, 9, 42], Operations: ['85-43=42']
Exploring Operation: 42-16=26, Resulting Numbers: [9, 26]
Generated Node #0,3,0: 72:[9, 26] Operation: 42-16=26
Exploring Operation: 16-9=7, Resulting Numbers: [42, 7]
Generated Node #0,3,1: 72:[42, 7] Operation: 16-9=7
Exploring Operation: 16+9=25, Resulting Numbers: [42, 25]
Generated Node #0,3,2: 72:[42, 25] Operation: 16+9=25
Exploring Operation: 42-9=33, Resulting Numbers: [16, 33]
Generated Node #0,3,3: 72:[16, 33] Operation: 42-9=33
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 72:[9, 26], Operations: ['85-43=42', '42-16=26']
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 9*26=234, Resulting Numbers: [234]
234,72 unequal: No Solution
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,72 unequal: No Solution
No 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: 72:[16, 33], Operations: ['85-43=42', '42-9=33']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 16*33=528, Resulting Numbers: [528]
528,72 unequal: No Solution
Exploring Operation: 16+33=49, Resulting Numbers: [49]
49,72 unequal: No Solution
No 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: 72:[42, 7], Operations: ['85-43=42', '16-9=7']
Exploring Operation: 42*7=294, Resulting Numbers: [294]
294,72 unequal: No Solution
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,72 unequal: No Solution
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 72:[42, 25], Operations: ['85-43=42', '16+9=25']
Exploring Operation: 42+25=67, Resulting Numbers: [67]
67,72 unequal: No Solution
Exploring Operation: 42-25=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 42*25=1050, Resulting Numbers: [1050]
1050,72 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: 72:[43, 9, 69], Operations: ['85-16=69']
Exploring Operation: 43+9=52, Resulting Numbers: [69, 52]
Generated Node #0,1,0: 72:[69, 52] Operation: 43+9=52
Exploring Operation: 9+69=78, Resulting Numbers: [43, 78]
Generated Node #0,1,1: 72:[43, 78] Operation: 9+69=78
Exploring Operation: 43-9=34, Resulting Numbers: [69, 34]
Generated Node #0,1,2: 72:[69, 34] Operation: 43-9=34
Exploring Operation: 69-43=26, Resulting Numbers: [9, 26]
Generated Node #0,1,3: 72:[9, 26] Operation: 69-43=26
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 72:[9, 26], Operations: ['85-16=69', '69-43=26']
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,72 unequal: No Solution
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 9*26=234, Resulting Numbers: [234]
234,72 unequal: No Solution
No 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: 72:[69, 34], Operations: ['85-16=69', '43-9=34']
Exploring Operation: 69-34=35, Resulting Numbers: [35]
35,72 unequal: No Solution
Exploring Operation: 69*34=2346, Resulting Numbers: [2346]
2346,72 unequal: No Solution
Exploring Operation: 69+34=103, Resulting Numbers: [103]
103,72 unequal: No Solution
No 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: 72:[43, 78], Operations: ['85-16=69', '9+69=78']
Exploring Operation: 43*78=3354, Resulting Numbers: [3354]
3354,72 unequal: No Solution
Exploring Operation: 78-43=35, Resulting Numbers: [35]
35,72 unequal: No Solution
Exploring Operation: 43+78=121, Resulting Numbers: [121]
121,72 unequal: No Solution
No 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: 72:[69, 52], Operations: ['85-16=69', '43+9=52']
Exploring Operation: 69*52=3588, Resulting Numbers: [3588]
3588,72 unequal: No Solution
Exploring Operation: 69-52=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 69+52=121, Resulting Numbers: [121]
121,72 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: 72:[16, 43, 76], Operations: ['85-9=76']
Exploring Operation: 16+43=59, Resulting Numbers: [76, 59]
Generated Node #0,2,0: 72:[76, 59] Operation: 16+43=59
Exploring Operation: 43-16=27, Resulting Numbers: [76, 27]
Generated Node #0,2,1: 72:[76, 27] Operation: 43-16=27
Exploring Operation: 76-16=60, Resulting Numbers: [43, 60]
Generated Node #0,2,2: 72:[43, 60] Operation: 76-16=60
Exploring Operation: 76-43=33, Resulting Numbers: [16, 33]
Generated Node #0,2,3: 72:[16, 33] Operation: 76-43=33
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 72:[16, 33], Operations: ['85-9=76', '76-43=33']
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 16+33=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Exploring Operation: 16*33=528, Resulting Numbers: [528]
528,72 unequal: No Solution
No 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: 72:[76, 27], Operations: ['85-9=76', '43-16=27']
Exploring Operation: 76+27=103, Resulting Numbers: [103]
103,72 unequal: No Solution
Exploring Operation: 76*27=2052, Resulting Numbers: [2052]
2052,72 unequal: No Solution
Exploring Operation: 76-27=49, Resulting Numbers: [49]
49,72 unequal: No Solution
No 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: 72:[76, 59], Operations: ['85-9=76', '16+43=59']
Exploring Operation: 76*59=4484, Resulting Numbers: [4484]
4484,72 unequal: No Solution
Exploring Operation: 76+59=135, Resulting Numbers: [135]
135,72 unequal: No Solution
Exploring Operation: 76-59=17, Resulting Numbers: [17]
17,72 unequal: No Solution
No 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: 72:[43, 60], Operations: ['85-9=76', '76-16=60']
Exploring Operation: 60-43=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 43+60=103, Resulting Numbers: [103]
103,72 unequal: No Solution
Exploring Operation: 43*60=2580, Resulting Numbers: [2580]
2580,72 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: 72:[85, 9, 27], Operations: ['43-16=27']
Exploring Operation: 85-9=76, Resulting Numbers: [27, 76]
Generated Node #0,0,0: 72:[27, 76] Operation: 85-9=76
Exploring Operation: 27-9=18, Resulting Numbers: [85, 18]
Generated Node #0,0,1: 72:[85, 18] Operation: 27-9=18
Exploring Operation: 27/9=3, Resulting Numbers: [85, 3]
Generated Node #0,0,2: 72:[85, 3] Operation: 27/9=3
Exploring Operation: 9+27=36, Resulting Numbers: [85, 36]
Generated Node #0,0,3: 72:[85, 36] Operation: 9+27=36
Moving to Node #0,0,0
Current State: 72:[27, 76], Operations: ['43-16=27', '85-9=76']
Exploring Operation: 27*76=2052, Resulting Numbers: [2052]
2052,72 unequal: No Solution
Exploring Operation: 27+76=103, Resulting Numbers: [103]
103,72 unequal: No Solution
Exploring Operation: 76-27=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,0,2
Current State: 72:[85, 3], Operations: ['43-16=27', '27/9=3']
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,72 unequal: No Solution
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,72 unequal: No Solution
Exploring Operation: 85*3=255, Resulting Numbers: [255]
255,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[85, 18], Operations: ['43-16=27', '27-9=18']
Exploring Operation: 85+18=103, Resulting Numbers: [103]
103,72 unequal: No Solution
Exploring Operation: 85*18=1530, Resulting Numbers: [1530]
1530,72 unequal: No Solution
Exploring Operation: 85-18=67, Resulting Numbers: [67]
67,72 unequal: No Solution
Moving to Node #0,0,3
Current State: 72:[85, 36], Operations: ['43-16=27', '9+27=36']
Exploring Operation: 85-36=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Exploring Operation: 85+36=121, Resulting Numbers: [121]
121,72 unequal: No Solution
Exploring Operation: 85*36=3060, Resulting Numbers: [3060]
3060,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
56,
77,
62,
23
] | 48 | [
"56+77=133",
"62+23=85",
"133-85=48"
] | Current State: 48:[56, 77, 62, 23], Operations: []
Exploring Operation: 56+77=133, Resulting Numbers: [62, 23, 133]
Generated Node #2: [62, 23, 133] from Operation: 56+77=133
Current State: 48:[62, 23, 133], Operations: ['56+77=133']
Exploring Operation: 62+23=85, Resulting Numbers: [133, 85]
Generated Node #3: [133, 85] from Operation: 62+23=85
Current State: 48:[133, 85], Operations: ['56+77=133', '62+23=85']
Exploring Operation: 133-85=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[56, 77, 62, 23], Operations: []
Exploring Operation: 62-56=6, Resulting Numbers: [77, 23, 6]
Generated Node #0,0: 48:[77, 23, 6] Operation: 62-56=6
Exploring Operation: 77-23=54, Resulting Numbers: [56, 62, 54]
Generated Node #0,1: 48:[56, 62, 54] Operation: 77-23=54
Exploring Operation: 77-56=21, Resulting Numbers: [62, 23, 21]
Generated Node #0,2: 48:[62, 23, 21] Operation: 77-56=21
Exploring Operation: 77-62=15, Resulting Numbers: [56, 23, 15]
Generated Node #0,3: 48:[56, 23, 15] Operation: 77-62=15
Start Sub Search at level 1: Moving to Node #0,3
Current State: 48:[56, 23, 15], Operations: ['77-62=15']
Exploring Operation: 23+15=38, Resulting Numbers: [56, 38]
Generated Node #0,3,0: 48:[56, 38] Operation: 23+15=38
Exploring Operation: 56-23=33, Resulting Numbers: [15, 33]
Generated Node #0,3,1: 48:[15, 33] Operation: 56-23=33
Exploring Operation: 56-15=41, Resulting Numbers: [23, 41]
Generated Node #0,3,2: 48:[23, 41] Operation: 56-15=41
Exploring Operation: 23-15=8, Resulting Numbers: [56, 8]
Generated Node #0,3,3: 48:[56, 8] Operation: 23-15=8
Moving to Node #0,3,2
Current State: 48:[23, 41], Operations: ['77-62=15', '56-15=41']
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,48 unequal: No Solution
Exploring Operation: 23*41=943, Resulting Numbers: [943]
943,48 unequal: No Solution
Exploring Operation: 23+41=64, Resulting Numbers: [64]
64,48 unequal: No Solution
Moving to Node #0,3,3
Current State: 48:[56, 8], Operations: ['77-62=15', '23-15=8']
Exploring Operation: 56/8=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Exploring Operation: 56*8=448, Resulting Numbers: [448]
448,48 unequal: No Solution
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[56, 77, 62, 23], Operations: []
Exploring Operation: 77-62=15, Resulting Numbers: [56, 23, 15]
Generated Node #0,3: 48:[56, 23, 15] Operation: 77-62=15
Moving to Node #0,3
Current State: 48:[56, 23, 15], Operations: ['77-62=15']
Exploring Operation: 23-15=8, Resulting Numbers: [56, 8]
Generated Node #0,3,3: 48:[56, 8] Operation: 23-15=8
Moving to Node #0,3,3
Current State: 48:[56, 8], Operations: ['77-62=15', '23-15=8']
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
3,
10,
23,
3
] | 67 | [
"3*10=30",
"3*30=90",
"90-23=67"
] | Current State: 67:[3, 10, 23, 3], Operations: []
Exploring Operation: 3*10=30, Resulting Numbers: [23, 30]
Generated Node #2: [23, 30] from Operation: 3*10=30
Current State: 67:[23, 30], Operations: ['3*10=30']
Exploring Operation: 3*30=90, Resulting Numbers: [23, 90]
Generated Node #3: [23, 90] from Operation: 3*30=90
Current State: 67:[23, 90], Operations: ['3*10=30', '3*30=90']
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[3, 10, 23, 3], Operations: []
Exploring Operation: 3*23=69, Resulting Numbers: [10, 3, 69]
Generated Node #0,0: 67:[10, 3, 69] Operation: 3*23=69
Moving to Node #0,0
Current State: 67:[10, 3, 69], Operations: ['3*23=69']
Exploring Operation: 10*3=30, Resulting Numbers: [69, 30]
Generated Node #0,0,0: 67:[69, 30] Operation: 10*3=30
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[69, 30], Operations: ['3*23=69', '10*3=30']
Exploring Operation: 69-30=39, Resulting Numbers: [39]
39,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
28,
13,
45,
61
] | 17 | [
"13*61=793",
"793-28=765",
"765/45=17"
] | Current State: 17:[28, 13, 45, 61], Operations: []
Exploring Operation: 13*61=793, Resulting Numbers: [28, 45, 793]
Generated Node #2: [28, 45, 793] from Operation: 13*61=793
Current State: 17:[28, 45, 793], Operations: ['13*61=793']
Exploring Operation: 793-28=765, Resulting Numbers: [45, 765]
Generated Node #3: [45, 765] from Operation: 793-28=765
Current State: 17:[45, 765], Operations: ['13*61=793', '793-28=765']
Exploring Operation: 765/45=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[28, 13, 45, 61], Operations: []
Exploring Operation: 61-45=16, Resulting Numbers: [28, 13, 16]
Generated Node #0,0: 17:[28, 13, 16] Operation: 61-45=16
Exploring Operation: 45-28=17, Resulting Numbers: [13, 61, 17]
Generated Node #0,1: 17:[13, 61, 17] Operation: 45-28=17
Moving to Node #0,0
Current State: 17:[28, 13, 16], Operations: ['61-45=16']
Exploring Operation: 28-13=15, Resulting Numbers: [16, 15]
Generated Node #0,0,0: 17:[16, 15] Operation: 28-13=15
Exploring Operation: 28-16=12, Resulting Numbers: [13, 12]
Generated Node #0,0,1: 17:[13, 12] Operation: 28-16=12
Moving to Node #0,1
Current State: 17:[13, 61, 17], Operations: ['45-28=17']
Exploring Operation: 61-13=48, Resulting Numbers: [17, 48]
Generated Node #0,1,0: 17:[17, 48] Operation: 61-13=48
Exploring Operation: 61-17=44, Resulting Numbers: [13, 44]
Generated Node #0,1,1: 17:[13, 44] Operation: 61-17=44
Moving to Node #0,0,0
Current State: 17:[16, 15], Operations: ['61-45=16', '28-13=15']
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Moving to Node #0,0,1
Current State: 17:[13, 12], Operations: ['61-45=16', '28-16=12']
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,17 unequal: No Solution
Moving to Node #0,1,1
Current State: 17:[13, 44], Operations: ['45-28=17', '61-17=44']
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Exploring Operation: 13+44=57, Resulting Numbers: [57]
57,17 unequal: No Solution
Moving to Node #0,1,0
Current State: 17:[17, 48], Operations: ['45-28=17', '61-13=48']
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,17 unequal: No Solution
Exploring Operation: 17+48=65, Resulting Numbers: [65]
65,17 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
93,
97,
64,
57
] | 28 | [
"97-93=4",
"64-57=7",
"4*7=28"
] | Current State: 28:[93, 97, 64, 57], Operations: []
Exploring Operation: 97-93=4, Resulting Numbers: [64, 57, 4]
Generated Node #2: [64, 57, 4] from Operation: 97-93=4
Current State: 28:[64, 57, 4], Operations: ['97-93=4']
Exploring Operation: 64-57=7, Resulting Numbers: [4, 7]
Generated Node #3: [4, 7] from Operation: 64-57=7
Current State: 28:[4, 7], Operations: ['97-93=4', '64-57=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[93, 97, 64, 57], Operations: []
Exploring Operation: 93-64=29, Resulting Numbers: [97, 57, 29]
Generated Node #0,0: 28:[97, 57, 29] Operation: 93-64=29
Exploring Operation: 97-93=4, Resulting Numbers: [64, 57, 4]
Generated Node #0,1: 28:[64, 57, 4] Operation: 97-93=4
Exploring Operation: 93-57=36, Resulting Numbers: [97, 64, 36]
Generated Node #0,2: 28:[97, 64, 36] Operation: 93-57=36
Exploring Operation: 97-64=33, Resulting Numbers: [93, 57, 33]
Generated Node #0,3: 28:[93, 57, 33] Operation: 97-64=33
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[64, 57, 4], Operations: ['97-93=4']
Exploring Operation: 57-4=53, Resulting Numbers: [64, 53]
Generated Node #0,1,0: 28:[64, 53] Operation: 57-4=53
Exploring Operation: 64/4=16, Resulting Numbers: [57, 16]
Generated Node #0,1,1: 28:[57, 16] Operation: 64/4=16
Exploring Operation: 64-4=60, Resulting Numbers: [57, 60]
Generated Node #0,1,2: 28:[57, 60] Operation: 64-4=60
Exploring Operation: 64-57=7, Resulting Numbers: [4, 7]
Generated Node #0,1,3: 28:[4, 7] Operation: 64-57=7
Moving to Node #0,1,3
Current State: 28:[4, 7], Operations: ['97-93=4', '64-57=7']
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,28 unequal: No Solution
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[93, 97, 64, 57], Operations: []
Exploring Operation: 97-93=4, Resulting Numbers: [64, 57, 4]
Generated Node #0,1: 28:[64, 57, 4] Operation: 97-93=4
Moving to Node #0,1
Current State: 28:[64, 57, 4], Operations: ['97-93=4']
Exploring Operation: 64-57=7, Resulting Numbers: [4, 7]
Generated Node #0,1,3: 28:[4, 7] Operation: 64-57=7
Moving to Node #0,1,3
Current State: 28:[4, 7], Operations: ['97-93=4', '64-57=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
70,
24,
37,
14
] | 23 | [
"70-24=46",
"37-14=23",
"46-23=23"
] | Current State: 23:[70, 24, 37, 14], Operations: []
Exploring Operation: 70-24=46, Resulting Numbers: [37, 14, 46]
Generated Node #2: [37, 14, 46] from Operation: 70-24=46
Current State: 23:[37, 14, 46], Operations: ['70-24=46']
Exploring Operation: 37-14=23, Resulting Numbers: [46, 23]
Generated Node #3: [46, 23] from Operation: 37-14=23
Current State: 23:[46, 23], Operations: ['70-24=46', '37-14=23']
Exploring Operation: 46-23=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[70, 24, 37, 14], Operations: []
Exploring Operation: 70/14=5, Resulting Numbers: [24, 37, 5]
Generated Node #0,0: 23:[24, 37, 5] Operation: 70/14=5
Exploring Operation: 37-14=23, Resulting Numbers: [70, 24, 23]
Generated Node #0,1: 23:[70, 24, 23] Operation: 37-14=23
Exploring Operation: 70-24=46, Resulting Numbers: [37, 14, 46]
Generated Node #0,2: 23:[37, 14, 46] Operation: 70-24=46
Exploring Operation: 70-37=33, Resulting Numbers: [24, 14, 33]
Generated Node #0,3: 23:[24, 14, 33] Operation: 70-37=33
Exploring Operation: 70-14=56, Resulting Numbers: [24, 37, 56]
Generated Node #0,4: 23:[24, 37, 56] Operation: 70-14=56
Start Sub Search at level 1: Moving to Node #0,3
Current State: 23:[24, 14, 33], Operations: ['70-37=33']
Exploring Operation: 24+14=38, Resulting Numbers: [33, 38]
Generated Node #0,3,0: 23:[33, 38] Operation: 24+14=38
Exploring Operation: 33-24=9, Resulting Numbers: [14, 9]
Generated Node #0,3,1: 23:[14, 9] Operation: 33-24=9
Exploring Operation: 14+33=47, Resulting Numbers: [24, 47]
Generated Node #0,3,2: 23:[24, 47] Operation: 14+33=47
Exploring Operation: 24-14=10, Resulting Numbers: [33, 10]
Generated Node #0,3,3: 23:[33, 10] Operation: 24-14=10
Exploring Operation: 33-14=19, Resulting Numbers: [24, 19]
Generated Node #0,3,4: 23:[24, 19] Operation: 33-14=19
Moving to Node #0,3,4
Current State: 23:[24, 19], Operations: ['70-37=33', '33-14=19']
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,23 unequal: No Solution
Exploring Operation: 24*19=456, Resulting Numbers: [456]
456,23 unequal: No Solution
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,23 unequal: No Solution
Moving to Node #0,3,3
Current State: 23:[33, 10], Operations: ['70-37=33', '24-14=10']
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,23 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[70, 24, 37, 14], Operations: []
Exploring Operation: 70-37=33, Resulting Numbers: [24, 14, 33]
Generated Node #0,3: 23:[24, 14, 33] Operation: 70-37=33
Moving to Node #0,3
Current State: 23:[24, 14, 33], Operations: ['70-37=33']
Exploring Operation: 24-14=10, Resulting Numbers: [33, 10]
Generated Node #0,3,3: 23:[33, 10] Operation: 24-14=10
Moving to Node #0,3,3
Current State: 23:[33, 10], Operations: ['70-37=33', '24-14=10']
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
76,
32,
63,
86
] | 85 | [
"76+32=108",
"86-63=23",
"108-23=85"
] | Current State: 85:[76, 32, 63, 86], Operations: []
Exploring Operation: 76+32=108, Resulting Numbers: [63, 86, 108]
Generated Node #2: [63, 86, 108] from Operation: 76+32=108
Current State: 85:[63, 86, 108], Operations: ['76+32=108']
Exploring Operation: 86-63=23, Resulting Numbers: [108, 23]
Generated Node #3: [108, 23] from Operation: 86-63=23
Current State: 85:[108, 23], Operations: ['76+32=108', '86-63=23']
Exploring Operation: 108-23=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[76, 32, 63, 86], Operations: []
Exploring Operation: 76-63=13, Resulting Numbers: [32, 86, 13]
Generated Node #0,0: 85:[32, 86, 13] Operation: 76-63=13
Moving to Node #0,0
Current State: 85:[32, 86, 13], Operations: ['76-63=13']
Exploring Operation: 32-13=19, Resulting Numbers: [86, 19]
Generated Node #0,0,0: 85:[86, 19] Operation: 32-13=19
Moving to Node #0,0,0
Current State: 85:[86, 19], Operations: ['76-63=13', '32-13=19']
Exploring Operation: 86-19=67, Resulting Numbers: [67]
67,85 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
95,
14,
97,
92
] | 76 | [
"95-14=81",
"97-92=5",
"81-5=76"
] | Current State: 76:[95, 14, 97, 92], Operations: []
Exploring Operation: 95-14=81, Resulting Numbers: [97, 92, 81]
Generated Node #2: [97, 92, 81] from Operation: 95-14=81
Current State: 76:[97, 92, 81], Operations: ['95-14=81']
Exploring Operation: 97-92=5, Resulting Numbers: [81, 5]
Generated Node #3: [81, 5] from Operation: 97-92=5
Current State: 76:[81, 5], Operations: ['95-14=81', '97-92=5']
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[95, 14, 97, 92], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [14, 92, 2]
Generated Node #0,0: 76:[14, 92, 2] Operation: 97-95=2
Exploring Operation: 97-92=5, Resulting Numbers: [95, 14, 5]
Generated Node #0,1: 76:[95, 14, 5] Operation: 97-92=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[14, 92, 2], Operations: ['97-95=2']
Exploring Operation: 92/2=46, Resulting Numbers: [14, 46]
Generated Node #0,0,0: 76:[14, 46] Operation: 92/2=46
Exploring Operation: 92-14=78, Resulting Numbers: [2, 78]
Generated Node #0,0,1: 76:[2, 78] Operation: 92-14=78
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 76:[2, 78], Operations: ['97-95=2', '92-14=78']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[95, 14, 97, 92], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [14, 92, 2]
Generated Node #0,0: 76:[14, 92, 2] Operation: 97-95=2
Moving to Node #0,0
Current State: 76:[14, 92, 2], Operations: ['97-95=2']
Exploring Operation: 92-14=78, Resulting Numbers: [2, 78]
Generated Node #0,0,1: 76:[2, 78] Operation: 92-14=78
Moving to Node #0,0,1
Current State: 76:[2, 78], Operations: ['97-95=2', '92-14=78']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
60,
9,
68,
93
] | 21 | [
"68-60=8",
"9*8=72",
"93-72=21"
] | Current State: 21:[60, 9, 68, 93], Operations: []
Exploring Operation: 68-60=8, Resulting Numbers: [9, 93, 8]
Generated Node #2: [9, 93, 8] from Operation: 68-60=8
Current State: 21:[9, 93, 8], Operations: ['68-60=8']
Exploring Operation: 9*8=72, Resulting Numbers: [93, 72]
Generated Node #3: [93, 72] from Operation: 9*8=72
Current State: 21:[93, 72], Operations: ['68-60=8', '9*8=72']
Exploring Operation: 93-72=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[60, 9, 68, 93], Operations: []
Exploring Operation: 60-9=51, Resulting Numbers: [68, 93, 51]
Generated Node #0,0: 21:[68, 93, 51] Operation: 60-9=51
Exploring Operation: 93-60=33, Resulting Numbers: [9, 68, 33]
Generated Node #0,1: 21:[9, 68, 33] Operation: 93-60=33
Exploring Operation: 68-60=8, Resulting Numbers: [9, 93, 8]
Generated Node #0,2: 21:[9, 93, 8] Operation: 68-60=8
Exploring Operation: 93-68=25, Resulting Numbers: [60, 9, 25]
Generated Node #0,3: 21:[60, 9, 25] Operation: 93-68=25
Exploring Operation: 68-9=59, Resulting Numbers: [60, 93, 59]
Generated Node #0,4: 21:[60, 93, 59] Operation: 68-9=59
Moving to Node #0,3
Current State: 21:[60, 9, 25], Operations: ['93-68=25']
Exploring Operation: 9+25=34, Resulting Numbers: [60, 34]
Generated Node #0,3,0: 21:[60, 34] Operation: 9+25=34
Exploring Operation: 60-9=51, Resulting Numbers: [25, 51]
Generated Node #0,3,1: 21:[25, 51] Operation: 60-9=51
Exploring Operation: 60-25=35, Resulting Numbers: [9, 35]
Generated Node #0,3,2: 21:[9, 35] Operation: 60-25=35
Exploring Operation: 25-9=16, Resulting Numbers: [60, 16]
Generated Node #0,3,3: 21:[60, 16] Operation: 25-9=16
Exploring Operation: 60+9=69, Resulting Numbers: [25, 69]
Generated Node #0,3,4: 21:[25, 69] Operation: 60+9=69
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 21:[9, 35], Operations: ['93-68=25', '60-25=35']
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Exploring Operation: 9*35=315, Resulting Numbers: [315]
315,21 unequal: No Solution
Exploring Operation: 9+35=44, Resulting Numbers: [44]
44,21 unequal: No Solution
No 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: 21:[25, 51], Operations: ['93-68=25', '60-9=51']
Exploring Operation: 25+51=76, Resulting Numbers: [76]
76,21 unequal: No Solution
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Exploring Operation: 25*51=1275, Resulting Numbers: [1275]
1275,21 unequal: No Solution
No 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: 21:[60, 16], Operations: ['93-68=25', '25-9=16']
Exploring Operation: 60*16=960, Resulting Numbers: [960]
960,21 unequal: No Solution
Exploring Operation: 60-16=44, Resulting Numbers: [44]
44,21 unequal: No Solution
Exploring Operation: 60+16=76, Resulting Numbers: [76]
76,21 unequal: No Solution
No 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: 21:[60, 34], Operations: ['93-68=25', '9+25=34']
Exploring Operation: 60+34=94, Resulting Numbers: [94]
94,21 unequal: No Solution
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Exploring Operation: 60*34=2040, Resulting Numbers: [2040]
2040,21 unequal: No Solution
No 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: 21:[25, 69], Operations: ['93-68=25', '60+9=69']
Exploring Operation: 69-25=44, Resulting Numbers: [44]
44,21 unequal: No Solution
Exploring Operation: 25+69=94, Resulting Numbers: [94]
94,21 unequal: No Solution
Exploring Operation: 25*69=1725, Resulting Numbers: [1725]
1725,21 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: 21:[9, 68, 33], Operations: ['93-60=33']
Exploring Operation: 68-9=59, Resulting Numbers: [33, 59]
Generated Node #0,1,0: 21:[33, 59] Operation: 68-9=59
Exploring Operation: 9+68=77, Resulting Numbers: [33, 77]
Generated Node #0,1,1: 21:[33, 77] Operation: 9+68=77
Exploring Operation: 9+33=42, Resulting Numbers: [68, 42]
Generated Node #0,1,2: 21:[68, 42] Operation: 9+33=42
Exploring Operation: 68-33=35, Resulting Numbers: [9, 35]
Generated Node #0,1,3: 21:[9, 35] Operation: 68-33=35
Exploring Operation: 33-9=24, Resulting Numbers: [68, 24]
Generated Node #0,1,4: 21:[68, 24] Operation: 33-9=24
Moving to Node #0,2
Current State: 21:[9, 93, 8], Operations: ['68-60=8']
Exploring Operation: 9+8=17, Resulting Numbers: [93, 17]
Generated Node #0,2,0: 21:[93, 17] Operation: 9+8=17
Exploring Operation: 93-9=84, Resulting Numbers: [8, 84]
Generated Node #0,2,1: 21:[8, 84] Operation: 93-9=84
Exploring Operation: 9-8=1, Resulting Numbers: [93, 1]
Generated Node #0,2,2: 21:[93, 1] Operation: 9-8=1
Exploring Operation: 9+93=102, Resulting Numbers: [8, 102]
Generated Node #0,2,3: 21:[8, 102] Operation: 9+93=102
Exploring Operation: 93-8=85, Resulting Numbers: [9, 85]
Generated Node #0,2,4: 21:[9, 85] Operation: 93-8=85
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 21:[8, 84], Operations: ['68-60=8', '93-9=84']
Exploring Operation: 8*84=672, Resulting Numbers: [672]
672,21 unequal: No Solution
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,21 unequal: No Solution
Exploring Operation: 8+84=92, Resulting Numbers: [92]
92,21 unequal: No Solution
No 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: 21:[9, 85], Operations: ['68-60=8', '93-8=85']
Exploring Operation: 9*85=765, Resulting Numbers: [765]
765,21 unequal: No Solution
Exploring Operation: 9+85=94, Resulting Numbers: [94]
94,21 unequal: No Solution
Exploring Operation: 85-9=76, Resulting Numbers: [76]
76,21 unequal: No Solution
No 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: 21:[93, 1], Operations: ['68-60=8', '9-8=1']
Exploring Operation: 93/1=93, Resulting Numbers: [93]
93,21 unequal: No Solution
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,21 unequal: No Solution
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,21 unequal: No Solution
Exploring Operation: 93+1=94, Resulting Numbers: [94]
94,21 unequal: No Solution
No 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: 21:[93, 17], Operations: ['68-60=8', '9+8=17']
Exploring Operation: 93*17=1581, Resulting Numbers: [1581]
1581,21 unequal: No Solution
Exploring Operation: 93-17=76, Resulting Numbers: [76]
76,21 unequal: No Solution
Exploring Operation: 93+17=110, Resulting Numbers: [110]
110,21 unequal: No Solution
No 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: 21:[8, 102], Operations: ['68-60=8', '9+93=102']
Exploring Operation: 102-8=94, Resulting Numbers: [94]
94,21 unequal: No Solution
Exploring Operation: 8*102=816, Resulting Numbers: [816]
816,21 unequal: No Solution
Exploring Operation: 8+102=110, Resulting Numbers: [110]
110,21 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: 21:[68, 93, 51], Operations: ['60-9=51']
Exploring Operation: 93-68=25, Resulting Numbers: [51, 25]
Generated Node #0,0,0: 21:[51, 25] Operation: 93-68=25
Exploring Operation: 68-51=17, Resulting Numbers: [93, 17]
Generated Node #0,0,1: 21:[93, 17] Operation: 68-51=17
Exploring Operation: 68+51=119, Resulting Numbers: [93, 119]
Generated Node #0,0,2: 21:[93, 119] Operation: 68+51=119
Exploring Operation: 68+93=161, Resulting Numbers: [51, 161]
Generated Node #0,0,3: 21:[51, 161] Operation: 68+93=161
Exploring Operation: 93-51=42, Resulting Numbers: [68, 42]
Generated Node #0,0,4: 21:[68, 42] Operation: 93-51=42
Moving to Node #0,4
Current State: 21:[60, 93, 59], Operations: ['68-9=59']
Exploring Operation: 93-60=33, Resulting Numbers: [59, 33]
Generated Node #0,4,0: 21:[59, 33] Operation: 93-60=33
Exploring Operation: 60+59=119, Resulting Numbers: [93, 119]
Generated Node #0,4,1: 21:[93, 119] Operation: 60+59=119
Exploring Operation: 93-59=34, Resulting Numbers: [60, 34]
Generated Node #0,4,2: 21:[60, 34] Operation: 93-59=34
Exploring Operation: 60+93=153, Resulting Numbers: [59, 153]
Generated Node #0,4,3: 21:[59, 153] Operation: 60+93=153
Exploring Operation: 60-59=1, Resulting Numbers: [93, 1]
Generated Node #0,4,4: 21:[93, 1] Operation: 60-59=1
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 21:[59, 33], Operations: ['68-9=59', '93-60=33']
Exploring Operation: 59*33=1947, Resulting Numbers: [1947]
1947,21 unequal: No Solution
Exploring Operation: 59+33=92, Resulting Numbers: [92]
92,21 unequal: No Solution
Exploring Operation: 59-33=26, Resulting Numbers: [26]
26,21 unequal: No Solution
No 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: 21:[60, 34], Operations: ['68-9=59', '93-59=34']
Exploring Operation: 60*34=2040, Resulting Numbers: [2040]
2040,21 unequal: No Solution
Exploring Operation: 60+34=94, Resulting Numbers: [94]
94,21 unequal: No Solution
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,21 unequal: No Solution
No 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: 21:[93, 1], Operations: ['68-9=59', '60-59=1']
Exploring Operation: 93+1=94, Resulting Numbers: [94]
94,21 unequal: No Solution
Exploring Operation: 93/1=93, Resulting Numbers: [93]
93,21 unequal: No Solution
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,21 unequal: No Solution
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,21 unequal: No Solution
No 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: 21:[93, 119], Operations: ['68-9=59', '60+59=119']
Exploring Operation: 93+119=212, Resulting Numbers: [212]
212,21 unequal: No Solution
Exploring Operation: 119-93=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Exploring Operation: 93*119=11067, Resulting Numbers: [11067]
11067,21 unequal: No Solution
No 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: 21:[59, 153], Operations: ['68-9=59', '60+93=153']
Exploring Operation: 59*153=9027, Resulting Numbers: [9027]
9027,21 unequal: No Solution
Exploring Operation: 153-59=94, Resulting Numbers: [94]
94,21 unequal: No Solution
Exploring Operation: 59+153=212, Resulting Numbers: [212]
212,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 21:[9, 35], Operations: ['93-60=33', '68-33=35']
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Exploring Operation: 9*35=315, Resulting Numbers: [315]
315,21 unequal: No Solution
Exploring Operation: 9+35=44, Resulting Numbers: [44]
44,21 unequal: No Solution
Moving to Node #0,0,0
Current State: 21:[51, 25], Operations: ['60-9=51', '93-68=25']
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Exploring Operation: 51+25=76, Resulting Numbers: [76]
76,21 unequal: No Solution
Exploring Operation: 51*25=1275, Resulting Numbers: [1275]
1275,21 unequal: No Solution
Moving to Node #0,1,4
Current State: 21:[68, 24], Operations: ['93-60=33', '33-9=24']
Exploring Operation: 68-24=44, Resulting Numbers: [44]
44,21 unequal: No Solution
Exploring Operation: 68+24=92, Resulting Numbers: [92]
92,21 unequal: No Solution
Exploring Operation: 68*24=1632, Resulting Numbers: [1632]
1632,21 unequal: No Solution
Moving to Node #0,1,0
Current State: 21:[33, 59], Operations: ['93-60=33', '68-9=59']
Exploring Operation: 33+59=92, Resulting Numbers: [92]
92,21 unequal: No Solution
Exploring Operation: 33*59=1947, Resulting Numbers: [1947]
1947,21 unequal: No Solution
Exploring Operation: 59-33=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Moving to Node #0,0,4
Current State: 21:[68, 42], Operations: ['60-9=51', '93-51=42']
Exploring Operation: 68+42=110, Resulting Numbers: [110]
110,21 unequal: No Solution
Exploring Operation: 68*42=2856, Resulting Numbers: [2856]
2856,21 unequal: No Solution
Exploring Operation: 68-42=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Moving to Node #0,1,2
Current State: 21:[68, 42], Operations: ['93-60=33', '9+33=42']
Exploring Operation: 68-42=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Exploring Operation: 68*42=2856, Resulting Numbers: [2856]
2856,21 unequal: No Solution
Exploring Operation: 68+42=110, Resulting Numbers: [110]
110,21 unequal: No Solution
Moving to Node #0,1,1
Current State: 21:[33, 77], Operations: ['93-60=33', '9+68=77']
Exploring Operation: 77-33=44, Resulting Numbers: [44]
44,21 unequal: No Solution
Exploring Operation: 33+77=110, Resulting Numbers: [110]
110,21 unequal: No Solution
Exploring Operation: 33*77=2541, Resulting Numbers: [2541]
2541,21 unequal: No Solution
Moving to Node #0,0,1
Current State: 21:[93, 17], Operations: ['60-9=51', '68-51=17']
Exploring Operation: 93+17=110, Resulting Numbers: [110]
110,21 unequal: No Solution
Exploring Operation: 93*17=1581, Resulting Numbers: [1581]
1581,21 unequal: No Solution
Exploring Operation: 93-17=76, Resulting Numbers: [76]
76,21 unequal: No Solution
Moving to Node #0,0,2
Current State: 21:[93, 119], Operations: ['60-9=51', '68+51=119']
Exploring Operation: 119-93=26, Resulting Numbers: [26]
26,21 unequal: No Solution
Exploring Operation: 93+119=212, Resulting Numbers: [212]
212,21 unequal: No Solution
Exploring Operation: 93*119=11067, Resulting Numbers: [11067]
11067,21 unequal: No Solution
Moving to Node #0,0,3
Current State: 21:[51, 161], Operations: ['60-9=51', '68+93=161']
Exploring Operation: 51*161=8211, Resulting Numbers: [8211]
8211,21 unequal: No Solution
Exploring Operation: 161-51=110, Resulting Numbers: [110]
110,21 unequal: No Solution
Exploring Operation: 51+161=212, Resulting Numbers: [212]
212,21 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
59,
44,
20,
13
] | 41 | [
"59-20=39",
"39/13=3",
"44-3=41"
] | Current State: 41:[59, 44, 20, 13], Operations: []
Exploring Operation: 59-20=39, Resulting Numbers: [44, 13, 39]
Generated Node #2: [44, 13, 39] from Operation: 59-20=39
Current State: 41:[44, 13, 39], Operations: ['59-20=39']
Exploring Operation: 39/13=3, Resulting Numbers: [44, 3]
Generated Node #3: [44, 3] from Operation: 39/13=3
Current State: 41:[44, 3], Operations: ['59-20=39', '39/13=3']
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[59, 44, 20, 13], Operations: []
Exploring Operation: 20+13=33, Resulting Numbers: [59, 44, 33]
Generated Node #0,0: 41:[59, 44, 33] Operation: 20+13=33
Exploring Operation: 59-13=46, Resulting Numbers: [44, 20, 46]
Generated Node #0,1: 41:[44, 20, 46] Operation: 59-13=46
Exploring Operation: 59-20=39, Resulting Numbers: [44, 13, 39]
Generated Node #0,2: 41:[44, 13, 39] Operation: 59-20=39
Moving to Node #0,0
Current State: 41:[59, 44, 33], Operations: ['20+13=33']
Exploring Operation: 59-44=15, Resulting Numbers: [33, 15]
Generated Node #0,0,0: 41:[33, 15] Operation: 59-44=15
Exploring Operation: 44-33=11, Resulting Numbers: [59, 11]
Generated Node #0,0,1: 41:[59, 11] Operation: 44-33=11
Exploring Operation: 59-33=26, Resulting Numbers: [44, 26]
Generated Node #0,0,2: 41:[44, 26] Operation: 59-33=26
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 41:[44, 26], Operations: ['20+13=33', '59-33=26']
Exploring Operation: 44-26=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 44+26=70, Resulting Numbers: [70]
70,41 unequal: No Solution
Exploring Operation: 44*26=1144, Resulting Numbers: [1144]
1144,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[33, 15], Operations: ['20+13=33', '59-44=15']
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,41 unequal: No Solution
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 33*15=495, Resulting Numbers: [495]
495,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 41:[59, 11], Operations: ['20+13=33', '44-33=11']
Exploring Operation: 59-11=48, Resulting Numbers: [48]
48,41 unequal: No Solution
Exploring Operation: 59*11=649, Resulting Numbers: [649]
649,41 unequal: No Solution
Exploring Operation: 59+11=70, Resulting Numbers: [70]
70,41 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: 41:[44, 20, 46], Operations: ['59-13=46']
Exploring Operation: 46-20=26, Resulting Numbers: [44, 26]
Generated Node #0,1,0: 41:[44, 26] Operation: 46-20=26
Exploring Operation: 44+20=64, Resulting Numbers: [46, 64]
Generated Node #0,1,1: 41:[46, 64] Operation: 44+20=64
Exploring Operation: 44-20=24, Resulting Numbers: [46, 24]
Generated Node #0,1,2: 41:[46, 24] Operation: 44-20=24
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 41:[44, 26], Operations: ['59-13=46', '46-20=26']
Exploring Operation: 44+26=70, Resulting Numbers: [70]
70,41 unequal: No Solution
Exploring Operation: 44-26=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 44*26=1144, Resulting Numbers: [1144]
1144,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 41:[46, 24], Operations: ['59-13=46', '44-20=24']
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 46*24=1104, Resulting Numbers: [1104]
1104,41 unequal: No Solution
Exploring Operation: 46+24=70, Resulting Numbers: [70]
70,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 41:[46, 64], Operations: ['59-13=46', '44+20=64']
Exploring Operation: 46*64=2944, Resulting Numbers: [2944]
2944,41 unequal: No Solution
Exploring Operation: 46+64=110, Resulting Numbers: [110]
110,41 unequal: No Solution
Exploring Operation: 64-46=18, Resulting Numbers: [18]
18,41 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: 41:[44, 13, 39], Operations: ['59-20=39']
Exploring Operation: 44-13=31, Resulting Numbers: [39, 31]
Generated Node #0,2,0: 41:[39, 31] Operation: 44-13=31
Exploring Operation: 13+39=52, Resulting Numbers: [44, 52]
Generated Node #0,2,1: 41:[44, 52] Operation: 13+39=52
Exploring Operation: 44+13=57, Resulting Numbers: [39, 57]
Generated Node #0,2,2: 41:[39, 57] Operation: 44+13=57
Moving to Node #0,2,0
Current State: 41:[39, 31], Operations: ['59-20=39', '44-13=31']
Exploring Operation: 39-31=8, Resulting Numbers: [8]
8,41 unequal: No Solution
Exploring Operation: 39+31=70, Resulting Numbers: [70]
70,41 unequal: No Solution
Exploring Operation: 39*31=1209, Resulting Numbers: [1209]
1209,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[44, 52], Operations: ['59-20=39', '13+39=52']
Exploring Operation: 44+52=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 52-44=8, Resulting Numbers: [8]
8,41 unequal: No Solution
Exploring Operation: 44*52=2288, Resulting Numbers: [2288]
2288,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[39, 57], Operations: ['59-20=39', '44+13=57']
Exploring Operation: 39+57=96, Resulting Numbers: [96]
96,41 unequal: No Solution
Exploring Operation: 39*57=2223, Resulting Numbers: [2223]
2223,41 unequal: No Solution
Exploring Operation: 57-39=18, Resulting Numbers: [18]
18,41 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
38,
34,
28,
53
] | 46 | [
"38-34=4",
"28/4=7",
"53-7=46"
] | Current State: 46:[38, 34, 28, 53], Operations: []
Exploring Operation: 38-34=4, Resulting Numbers: [28, 53, 4]
Generated Node #2: [28, 53, 4] from Operation: 38-34=4
Current State: 46:[28, 53, 4], Operations: ['38-34=4']
Exploring Operation: 28/4=7, Resulting Numbers: [53, 7]
Generated Node #3: [53, 7] from Operation: 28/4=7
Current State: 46:[53, 7], Operations: ['38-34=4', '28/4=7']
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[38, 34, 28, 53], Operations: []
Exploring Operation: 53-28=25, Resulting Numbers: [38, 34, 25]
Generated Node #0,0: 46:[38, 34, 25] Operation: 53-28=25
Exploring Operation: 53-38=15, Resulting Numbers: [34, 28, 15]
Generated Node #0,1: 46:[34, 28, 15] Operation: 53-38=15
Exploring Operation: 34-28=6, Resulting Numbers: [38, 53, 6]
Generated Node #0,2: 46:[38, 53, 6] Operation: 34-28=6
Exploring Operation: 53-34=19, Resulting Numbers: [38, 28, 19]
Generated Node #0,3: 46:[38, 28, 19] Operation: 53-34=19
Exploring Operation: 38-34=4, Resulting Numbers: [28, 53, 4]
Generated Node #0,4: 46:[28, 53, 4] Operation: 38-34=4
Moving to Node #0,4
Current State: 46:[28, 53, 4], Operations: ['38-34=4']
Exploring Operation: 53-4=49, Resulting Numbers: [28, 49]
Generated Node #0,4,0: 46:[28, 49] Operation: 53-4=49
Exploring Operation: 28-4=24, Resulting Numbers: [53, 24]
Generated Node #0,4,1: 46:[53, 24] Operation: 28-4=24
Exploring Operation: 53-28=25, Resulting Numbers: [4, 25]
Generated Node #0,4,2: 46:[4, 25] Operation: 53-28=25
Exploring Operation: 28/4=7, Resulting Numbers: [53, 7]
Generated Node #0,4,3: 46:[53, 7] Operation: 28/4=7
Exploring Operation: 28+4=32, Resulting Numbers: [53, 32]
Generated Node #0,4,4: 46:[53, 32] Operation: 28+4=32
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 46:[4, 25], Operations: ['38-34=4', '53-28=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,46 unequal: No Solution
Exploring Operation: 4+25=29, Resulting Numbers: [29]
29,46 unequal: No Solution
Exploring Operation: 25-4=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 #0,4,0
Current State: 46:[28, 49], Operations: ['38-34=4', '53-4=49']
Exploring Operation: 28*49=1372, Resulting Numbers: [1372]
1372,46 unequal: No Solution
Exploring Operation: 49-28=21, Resulting Numbers: [21]
21,46 unequal: No Solution
Exploring Operation: 28+49=77, Resulting Numbers: [77]
77,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 46:[53, 24], Operations: ['38-34=4', '28-4=24']
Exploring Operation: 53+24=77, Resulting Numbers: [77]
77,46 unequal: No Solution
Exploring Operation: 53-24=29, Resulting Numbers: [29]
29,46 unequal: No Solution
Exploring Operation: 53*24=1272, Resulting Numbers: [1272]
1272,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 46:[53, 7], Operations: ['38-34=4', '28/4=7']
Exploring Operation: 53*7=371, Resulting Numbers: [371]
371,46 unequal: No Solution
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[38, 34, 28, 53], Operations: []
Exploring Operation: 38-34=4, Resulting Numbers: [28, 53, 4]
Generated Node #0,4: 46:[28, 53, 4] Operation: 38-34=4
Moving to Node #0,4
Current State: 46:[28, 53, 4], Operations: ['38-34=4']
Exploring Operation: 28/4=7, Resulting Numbers: [53, 7]
Generated Node #0,4,3: 46:[53, 7] Operation: 28/4=7
Moving to Node #0,4,3
Current State: 46:[53, 7], Operations: ['38-34=4', '28/4=7']
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | sum_heuristic |
[
77,
27,
51,
63
] | 63 | [
"77-27=50",
"51-50=1",
"63*1=63"
] | Current State: 63:[77, 27, 51, 63], Operations: []
Exploring Operation: 77-27=50, Resulting Numbers: [51, 63, 50]
Generated Node #2: [51, 63, 50] from Operation: 77-27=50
Current State: 63:[51, 63, 50], Operations: ['77-27=50']
Exploring Operation: 51-50=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 51-50=1
Current State: 63:[63, 1], Operations: ['77-27=50', '51-50=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[77, 27, 51, 63], Operations: []
Exploring Operation: 77-51=26, Resulting Numbers: [27, 63, 26]
Generated Node #0,0: 63:[27, 63, 26] Operation: 77-51=26
Exploring Operation: 77-63=14, Resulting Numbers: [27, 51, 14]
Generated Node #0,1: 63:[27, 51, 14] Operation: 77-63=14
Exploring Operation: 51-27=24, Resulting Numbers: [77, 63, 24]
Generated Node #0,2: 63:[77, 63, 24] Operation: 51-27=24
Moving to Node #0,0
Current State: 63:[27, 63, 26], Operations: ['77-51=26']
Exploring Operation: 27+26=53, Resulting Numbers: [63, 53]
Generated Node #0,0,0: 63:[63, 53] Operation: 27+26=53
Exploring Operation: 63-27=36, Resulting Numbers: [26, 36]
Generated Node #0,0,1: 63:[26, 36] Operation: 63-27=36
Exploring Operation: 27-26=1, Resulting Numbers: [63, 1]
Generated Node #0,0,2: 63:[63, 1] Operation: 27-26=1
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 63:[63, 1], Operations: ['77-51=26', '27-26=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[77, 27, 51, 63], Operations: []
Exploring Operation: 77-51=26, Resulting Numbers: [27, 63, 26]
Generated Node #0,0: 63:[27, 63, 26] Operation: 77-51=26
Moving to Node #0,0
Current State: 63:[27, 63, 26], Operations: ['77-51=26']
Exploring Operation: 27-26=1, Resulting Numbers: [63, 1]
Generated Node #0,0,2: 63:[63, 1] Operation: 27-26=1
Moving to Node #0,0,2
Current State: 63:[63, 1], Operations: ['77-51=26', '27-26=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
84,
86,
76,
41
] | 79 | [
"86-84=2",
"76/2=38",
"41+38=79"
] | Current State: 79:[84, 86, 76, 41], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [76, 41, 2]
Generated Node #2: [76, 41, 2] from Operation: 86-84=2
Current State: 79:[76, 41, 2], Operations: ['86-84=2']
Exploring Operation: 76/2=38, Resulting Numbers: [41, 38]
Generated Node #3: [41, 38] from Operation: 76/2=38
Current State: 79:[41, 38], Operations: ['86-84=2', '76/2=38']
Exploring Operation: 41+38=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[84, 86, 76, 41], Operations: []
Exploring Operation: 86-41=45, Resulting Numbers: [84, 76, 45]
Generated Node #0,0: 79:[84, 76, 45] Operation: 86-41=45
Exploring Operation: 84-41=43, Resulting Numbers: [86, 76, 43]
Generated Node #0,1: 79:[86, 76, 43] Operation: 84-41=43
Exploring Operation: 84+41=125, Resulting Numbers: [86, 76, 125]
Generated Node #0,2: 79:[86, 76, 125] Operation: 84+41=125
Exploring Operation: 76+41=117, Resulting Numbers: [84, 86, 117]
Generated Node #0,3: 79:[84, 86, 117] Operation: 76+41=117
Moving to Node #0,0
Current State: 79:[84, 76, 45], Operations: ['86-41=45']
Exploring Operation: 76+45=121, Resulting Numbers: [84, 121]
Generated Node #0,0,0: 79:[84, 121] Operation: 76+45=121
Exploring Operation: 84+45=129, Resulting Numbers: [76, 129]
Generated Node #0,0,1: 79:[76, 129] Operation: 84+45=129
Exploring Operation: 76-45=31, Resulting Numbers: [84, 31]
Generated Node #0,0,2: 79:[84, 31] Operation: 76-45=31
Exploring Operation: 84-45=39, Resulting Numbers: [76, 39]
Generated Node #0,0,3: 79:[76, 39] Operation: 84-45=39
Moving to Node #0,1
Current State: 79:[86, 76, 43], Operations: ['84-41=43']
Exploring Operation: 86-43=43, Resulting Numbers: [76, 43]
Generated Node #0,1,0: 79:[76, 43] Operation: 86-43=43
Exploring Operation: 76-43=33, Resulting Numbers: [86, 33]
Generated Node #0,1,1: 79:[86, 33] Operation: 76-43=33
Exploring Operation: 76+43=119, Resulting Numbers: [86, 119]
Generated Node #0,1,2: 79:[86, 119] Operation: 76+43=119
Exploring Operation: 86+43=129, Resulting Numbers: [76, 129]
Generated Node #0,1,3: 79:[76, 129] Operation: 86+43=129
Moving to Node #0,3
Current State: 79:[84, 86, 117], Operations: ['76+41=117']
Exploring Operation: 117-84=33, Resulting Numbers: [86, 33]
Generated Node #0,3,0: 79:[86, 33] Operation: 117-84=33
Exploring Operation: 86-84=2, Resulting Numbers: [117, 2]
Generated Node #0,3,1: 79:[117, 2] Operation: 86-84=2
Exploring Operation: 84+86=170, Resulting Numbers: [117, 170]
Generated Node #0,3,2: 79:[117, 170] Operation: 84+86=170
Exploring Operation: 117-86=31, Resulting Numbers: [84, 31]
Generated Node #0,3,3: 79:[84, 31] Operation: 117-86=31
Moving to Node #0,2
Current State: 79:[86, 76, 125], Operations: ['84+41=125']
Exploring Operation: 86+76=162, Resulting Numbers: [125, 162]
Generated Node #0,2,0: 79:[125, 162] Operation: 86+76=162
Exploring Operation: 125-76=49, Resulting Numbers: [86, 49]
Generated Node #0,2,1: 79:[86, 49] Operation: 125-76=49
Exploring Operation: 86-76=10, Resulting Numbers: [125, 10]
Generated Node #0,2,2: 79:[125, 10] Operation: 86-76=10
Exploring Operation: 125-86=39, Resulting Numbers: [76, 39]
Generated Node #0,2,3: 79:[76, 39] Operation: 125-86=39
Moving to Node #0,2,1
Current State: 79:[86, 49], Operations: ['84+41=125', '125-76=49']
Exploring Operation: 86-49=37, Resulting Numbers: [37]
37,79 unequal: No Solution
Exploring Operation: 86+49=135, Resulting Numbers: [135]
135,79 unequal: No Solution
Exploring Operation: 86*49=4214, Resulting Numbers: [4214]
4214,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[76, 43], Operations: ['84-41=43', '86-43=43']
Exploring Operation: 76+43=119, Resulting Numbers: [119]
119,79 unequal: No Solution
Exploring Operation: 76-43=33, Resulting Numbers: [33]
33,79 unequal: No Solution
Exploring Operation: 76*43=3268, Resulting Numbers: [3268]
3268,79 unequal: No Solution
Moving to Node #0,2,3
Current State: 79:[76, 39], Operations: ['84+41=125', '125-86=39']
Exploring Operation: 76-39=37, Resulting Numbers: [37]
37,79 unequal: No Solution
Exploring Operation: 76*39=2964, Resulting Numbers: [2964]
2964,79 unequal: No Solution
Exploring Operation: 76+39=115, Resulting Numbers: [115]
115,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[76, 39], Operations: ['86-41=45', '84-45=39']
Exploring Operation: 76+39=115, Resulting Numbers: [115]
115,79 unequal: No Solution
Exploring Operation: 76*39=2964, Resulting Numbers: [2964]
2964,79 unequal: No Solution
Exploring Operation: 76-39=37, Resulting Numbers: [37]
37,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[86, 119], Operations: ['84-41=43', '76+43=119']
Exploring Operation: 86+119=205, Resulting Numbers: [205]
205,79 unequal: No Solution
Exploring Operation: 86*119=10234, Resulting Numbers: [10234]
10234,79 unequal: No Solution
Exploring Operation: 119-86=33, Resulting Numbers: [33]
33,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[84, 121], Operations: ['86-41=45', '76+45=121']
Exploring Operation: 84*121=10164, Resulting Numbers: [10164]
10164,79 unequal: No Solution
Exploring Operation: 121-84=37, Resulting Numbers: [37]
37,79 unequal: No Solution
Exploring Operation: 84+121=205, Resulting Numbers: [205]
205,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[86, 33], Operations: ['84-41=43', '76-43=33']
Exploring Operation: 86*33=2838, Resulting Numbers: [2838]
2838,79 unequal: No Solution
Exploring Operation: 86-33=53, Resulting Numbers: [53]
53,79 unequal: No Solution
Exploring Operation: 86+33=119, Resulting Numbers: [119]
119,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[76, 129], Operations: ['86-41=45', '84+45=129']
Exploring Operation: 129-76=53, Resulting Numbers: [53]
53,79 unequal: No Solution
Exploring Operation: 76*129=9804, Resulting Numbers: [9804]
9804,79 unequal: No Solution
Exploring Operation: 76+129=205, Resulting Numbers: [205]
205,79 unequal: No Solution
Moving to Node #0,3,3
Current State: 79:[84, 31], Operations: ['76+41=117', '117-86=31']
Exploring Operation: 84+31=115, Resulting Numbers: [115]
115,79 unequal: No Solution
Exploring Operation: 84*31=2604, Resulting Numbers: [2604]
2604,79 unequal: No Solution
Exploring Operation: 84-31=53, Resulting Numbers: [53]
53,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[84, 31], Operations: ['86-41=45', '76-45=31']
Exploring Operation: 84-31=53, Resulting Numbers: [53]
53,79 unequal: No Solution
Exploring Operation: 84*31=2604, Resulting Numbers: [2604]
2604,79 unequal: No Solution
Exploring Operation: 84+31=115, Resulting Numbers: [115]
115,79 unequal: No Solution
Moving to Node #0,1,3
Current State: 79:[76, 129], Operations: ['84-41=43', '86+43=129']
Exploring Operation: 129-76=53, Resulting Numbers: [53]
53,79 unequal: No Solution
Exploring Operation: 76*129=9804, Resulting Numbers: [9804]
9804,79 unequal: No Solution
Exploring Operation: 76+129=205, Resulting Numbers: [205]
205,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[86, 33], Operations: ['76+41=117', '117-84=33']
Exploring Operation: 86+33=119, Resulting Numbers: [119]
119,79 unequal: No Solution
Exploring Operation: 86-33=53, Resulting Numbers: [53]
53,79 unequal: No Solution
Exploring Operation: 86*33=2838, Resulting Numbers: [2838]
2838,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[125, 10], Operations: ['84+41=125', '86-76=10']
Exploring Operation: 125*10=1250, Resulting Numbers: [1250]
1250,79 unequal: No Solution
Exploring Operation: 125+10=135, Resulting Numbers: [135]
135,79 unequal: No Solution
Exploring Operation: 125-10=115, Resulting Numbers: [115]
115,79 unequal: No Solution
Moving to Node #0,3,1
Current State: 79:[117, 2], Operations: ['76+41=117', '86-84=2']
Exploring Operation: 117-2=115, Resulting Numbers: [115]
115,79 unequal: No Solution
Exploring Operation: 117+2=119, Resulting Numbers: [119]
119,79 unequal: No Solution
Exploring Operation: 117*2=234, Resulting Numbers: [234]
234,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[125, 162], Operations: ['84+41=125', '86+76=162']
Exploring Operation: 125*162=20250, Resulting Numbers: [20250]
20250,79 unequal: No Solution
Exploring Operation: 162-125=37, Resulting Numbers: [37]
37,79 unequal: No Solution
Exploring Operation: 125+162=287, Resulting Numbers: [287]
287,79 unequal: No Solution
Moving to Node #0,3,2
Current State: 79:[117, 170], Operations: ['76+41=117', '84+86=170']
Exploring Operation: 117*170=19890, Resulting Numbers: [19890]
19890,79 unequal: No Solution
Exploring Operation: 117+170=287, Resulting Numbers: [287]
287,79 unequal: No Solution
Exploring Operation: 170-117=53, Resulting Numbers: [53]
53,79 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
71,
2,
28,
24
] | 79 | [
"28-24=4",
"2*4=8",
"71+8=79"
] | Current State: 79:[71, 2, 28, 24], Operations: []
Exploring Operation: 28-24=4, Resulting Numbers: [71, 2, 4]
Generated Node #2: [71, 2, 4] from Operation: 28-24=4
Current State: 79:[71, 2, 4], Operations: ['28-24=4']
Exploring Operation: 2*4=8, Resulting Numbers: [71, 8]
Generated Node #3: [71, 8] from Operation: 2*4=8
Current State: 79:[71, 8], Operations: ['28-24=4', '2*4=8']
Exploring Operation: 71+8=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[71, 2, 28, 24], Operations: []
Exploring Operation: 2*24=48, Resulting Numbers: [71, 28, 48]
Generated Node #0,0: 79:[71, 28, 48] Operation: 2*24=48
Exploring Operation: 71+2=73, Resulting Numbers: [28, 24, 73]
Generated Node #0,1: 79:[28, 24, 73] Operation: 71+2=73
Exploring Operation: 2*28=56, Resulting Numbers: [71, 24, 56]
Generated Node #0,2: 79:[71, 24, 56] Operation: 2*28=56
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[71, 24, 56], Operations: ['2*28=56']
Exploring Operation: 71+24=95, Resulting Numbers: [56, 95]
Generated Node #0,2,0: 79:[56, 95] Operation: 71+24=95
Exploring Operation: 24+56=80, Resulting Numbers: [71, 80]
Generated Node #0,2,1: 79:[71, 80] Operation: 24+56=80
Exploring Operation: 71-24=47, Resulting Numbers: [56, 47]
Generated Node #0,2,2: 79:[56, 47] Operation: 71-24=47
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 79:[71, 80], Operations: ['2*28=56', '24+56=80']
Exploring Operation: 80-71=9, Resulting Numbers: [9]
9,79 unequal: No Solution
Exploring Operation: 71+80=151, Resulting Numbers: [151]
151,79 unequal: No Solution
Exploring Operation: 71*80=5680, Resulting Numbers: [5680]
5680,79 unequal: No Solution
No 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: 79:[56, 95], Operations: ['2*28=56', '71+24=95']
Exploring Operation: 95-56=39, Resulting Numbers: [39]
39,79 unequal: No Solution
Exploring Operation: 56*95=5320, Resulting Numbers: [5320]
5320,79 unequal: No Solution
Exploring Operation: 56+95=151, Resulting Numbers: [151]
151,79 unequal: No Solution
No 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: 79:[56, 47], Operations: ['2*28=56', '71-24=47']
Exploring Operation: 56+47=103, Resulting Numbers: [103]
103,79 unequal: No Solution
Exploring Operation: 56*47=2632, Resulting Numbers: [2632]
2632,79 unequal: No Solution
Exploring Operation: 56-47=9, Resulting Numbers: [9]
9,79 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: 79:[71, 28, 48], Operations: ['2*24=48']
Exploring Operation: 71+28=99, Resulting Numbers: [48, 99]
Generated Node #0,0,0: 79:[48, 99] Operation: 71+28=99
Exploring Operation: 28+48=76, Resulting Numbers: [71, 76]
Generated Node #0,0,1: 79:[71, 76] Operation: 28+48=76
Exploring Operation: 71-28=43, Resulting Numbers: [48, 43]
Generated Node #0,0,2: 79:[48, 43] Operation: 71-28=43
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 79:[71, 76], Operations: ['2*24=48', '28+48=76']
Exploring Operation: 71*76=5396, Resulting Numbers: [5396]
5396,79 unequal: No Solution
Exploring Operation: 76-71=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Exploring Operation: 71+76=147, Resulting Numbers: [147]
147,79 unequal: No Solution
No 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: 79:[48, 99], Operations: ['2*24=48', '71+28=99']
Exploring Operation: 48*99=4752, Resulting Numbers: [4752]
4752,79 unequal: No Solution
Exploring Operation: 99-48=51, Resulting Numbers: [51]
51,79 unequal: No Solution
Exploring Operation: 48+99=147, Resulting Numbers: [147]
147,79 unequal: No Solution
No 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: 79:[48, 43], Operations: ['2*24=48', '71-28=43']
Exploring Operation: 48*43=2064, Resulting Numbers: [2064]
2064,79 unequal: No Solution
Exploring Operation: 48-43=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Exploring Operation: 48+43=91, Resulting Numbers: [91]
91,79 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: 79:[28, 24, 73], Operations: ['71+2=73']
Exploring Operation: 28+24=52, Resulting Numbers: [73, 52]
Generated Node #0,1,0: 79:[73, 52] Operation: 28+24=52
Exploring Operation: 28+73=101, Resulting Numbers: [24, 101]
Generated Node #0,1,1: 79:[24, 101] Operation: 28+73=101
Exploring Operation: 24+73=97, Resulting Numbers: [28, 97]
Generated Node #0,1,2: 79:[28, 97] Operation: 24+73=97
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 79:[73, 52], Operations: ['71+2=73', '28+24=52']
Exploring Operation: 73-52=21, Resulting Numbers: [21]
21,79 unequal: No Solution
Exploring Operation: 73+52=125, Resulting Numbers: [125]
125,79 unequal: No Solution
Exploring Operation: 73*52=3796, Resulting Numbers: [3796]
3796,79 unequal: No Solution
No 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: 79:[28, 97], Operations: ['71+2=73', '24+73=97']
Exploring Operation: 28*97=2716, Resulting Numbers: [2716]
2716,79 unequal: No Solution
Exploring Operation: 97-28=69, Resulting Numbers: [69]
69,79 unequal: No Solution
Exploring Operation: 28+97=125, Resulting Numbers: [125]
125,79 unequal: No Solution
No 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: 79:[24, 101], Operations: ['71+2=73', '28+73=101']
Exploring Operation: 24+101=125, Resulting Numbers: [125]
125,79 unequal: No Solution
Exploring Operation: 24*101=2424, Resulting Numbers: [2424]
2424,79 unequal: No Solution
Exploring Operation: 101-24=77, Resulting Numbers: [77]
77,79 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 |
[
56,
69,
5,
48
] | 40 | [
"69-56=13",
"5+48=53",
"53-13=40"
] | Current State: 40:[56, 69, 5, 48], Operations: []
Exploring Operation: 69-56=13, Resulting Numbers: [5, 48, 13]
Generated Node #2: [5, 48, 13] from Operation: 69-56=13
Current State: 40:[5, 48, 13], Operations: ['69-56=13']
Exploring Operation: 5+48=53, Resulting Numbers: [13, 53]
Generated Node #3: [13, 53] from Operation: 5+48=53
Current State: 40:[13, 53], Operations: ['69-56=13', '5+48=53']
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[56, 69, 5, 48], Operations: []
Exploring Operation: 56-48=8, Resulting Numbers: [69, 5, 8]
Generated Node #0,0: 40:[69, 5, 8] Operation: 56-48=8
Exploring Operation: 69-56=13, Resulting Numbers: [5, 48, 13]
Generated Node #0,1: 40:[5, 48, 13] Operation: 69-56=13
Exploring Operation: 69-48=21, Resulting Numbers: [56, 5, 21]
Generated Node #0,2: 40:[56, 5, 21] Operation: 69-48=21
Exploring Operation: 69-5=64, Resulting Numbers: [56, 48, 64]
Generated Node #0,3: 40:[56, 48, 64] Operation: 69-5=64
Exploring Operation: 56-5=51, Resulting Numbers: [69, 48, 51]
Generated Node #0,4: 40:[69, 48, 51] Operation: 56-5=51
Moving to Node #0,1
Current State: 40:[5, 48, 13], Operations: ['69-56=13']
Exploring Operation: 48-13=35, Resulting Numbers: [5, 35]
Generated Node #0,1,0: 40:[5, 35] Operation: 48-13=35
Exploring Operation: 5+48=53, Resulting Numbers: [13, 53]
Generated Node #0,1,1: 40:[13, 53] Operation: 5+48=53
Exploring Operation: 48-5=43, Resulting Numbers: [13, 43]
Generated Node #0,1,2: 40:[13, 43] Operation: 48-5=43
Exploring Operation: 5+13=18, Resulting Numbers: [48, 18]
Generated Node #0,1,3: 40:[48, 18] Operation: 5+13=18
Exploring Operation: 13-5=8, Resulting Numbers: [48, 8]
Generated Node #0,1,4: 40:[48, 8] Operation: 13-5=8
Moving to Node #0,2
Current State: 40:[56, 5, 21], Operations: ['69-48=21']
Exploring Operation: 21-5=16, Resulting Numbers: [56, 16]
Generated Node #0,2,0: 40:[56, 16] Operation: 21-5=16
Exploring Operation: 56+5=61, Resulting Numbers: [21, 61]
Generated Node #0,2,1: 40:[21, 61] Operation: 56+5=61
Exploring Operation: 5+21=26, Resulting Numbers: [56, 26]
Generated Node #0,2,2: 40:[56, 26] Operation: 5+21=26
Exploring Operation: 56-21=35, Resulting Numbers: [5, 35]
Generated Node #0,2,3: 40:[5, 35] Operation: 56-21=35
Exploring Operation: 56-5=51, Resulting Numbers: [21, 51]
Generated Node #0,2,4: 40:[21, 51] Operation: 56-5=51
Moving to Node #0,0
Current State: 40:[69, 5, 8], Operations: ['56-48=8']
Exploring Operation: 69-8=61, Resulting Numbers: [5, 61]
Generated Node #0,0,0: 40:[5, 61] Operation: 69-8=61
Exploring Operation: 5+8=13, Resulting Numbers: [69, 13]
Generated Node #0,0,1: 40:[69, 13] Operation: 5+8=13
Exploring Operation: 69-5=64, Resulting Numbers: [8, 64]
Generated Node #0,0,2: 40:[8, 64] Operation: 69-5=64
Exploring Operation: 8-5=3, Resulting Numbers: [69, 3]
Generated Node #0,0,3: 40:[69, 3] Operation: 8-5=3
Exploring Operation: 5*8=40, Resulting Numbers: [69, 40]
Generated Node #0,0,4: 40:[69, 40] Operation: 5*8=40
Moving to Node #0,3
Current State: 40:[56, 48, 64], Operations: ['69-5=64']
Exploring Operation: 64-56=8, Resulting Numbers: [48, 8]
Generated Node #0,3,0: 40:[48, 8] Operation: 64-56=8
Exploring Operation: 56-48=8, Resulting Numbers: [64, 8]
Generated Node #0,3,1: 40:[64, 8] Operation: 56-48=8
Exploring Operation: 64-48=16, Resulting Numbers: [56, 16]
Generated Node #0,3,2: 40:[56, 16] Operation: 64-48=16
Exploring Operation: 56+64=120, Resulting Numbers: [48, 120]
Generated Node #0,3,3: 40:[48, 120] Operation: 56+64=120
Exploring Operation: 56+48=104, Resulting Numbers: [64, 104]
Generated Node #0,3,4: 40:[64, 104] Operation: 56+48=104
Moving to Node #0,4
Current State: 40:[69, 48, 51], Operations: ['56-5=51']
Exploring Operation: 69-51=18, Resulting Numbers: [48, 18]
Generated Node #0,4,0: 40:[48, 18] Operation: 69-51=18
Exploring Operation: 51-48=3, Resulting Numbers: [69, 3]
Generated Node #0,4,1: 40:[69, 3] Operation: 51-48=3
Exploring Operation: 69+51=120, Resulting Numbers: [48, 120]
Generated Node #0,4,2: 40:[48, 120] Operation: 69+51=120
Exploring Operation: 69+48=117, Resulting Numbers: [51, 117]
Generated Node #0,4,3: 40:[51, 117] Operation: 69+48=117
Exploring Operation: 69-48=21, Resulting Numbers: [51, 21]
Generated Node #0,4,4: 40:[51, 21] Operation: 69-48=21
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 40:[48, 18], Operations: ['56-5=51', '69-51=18']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,40 unequal: No Solution
Exploring Operation: 48*18=864, Resulting Numbers: [864]
864,40 unequal: No Solution
Exploring Operation: 48+18=66, Resulting Numbers: [66]
66,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 40:[51, 21], Operations: ['56-5=51', '69-48=21']
Exploring Operation: 51*21=1071, Resulting Numbers: [1071]
1071,40 unequal: No Solution
Exploring Operation: 51+21=72, Resulting Numbers: [72]
72,40 unequal: No Solution
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 40:[69, 3], Operations: ['56-5=51', '51-48=3']
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,40 unequal: No Solution
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,40 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,40 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 40:[48, 120], Operations: ['56-5=51', '69+51=120']
Exploring Operation: 120-48=72, Resulting Numbers: [72]
72,40 unequal: No Solution
Exploring Operation: 48+120=168, Resulting Numbers: [168]
168,40 unequal: No Solution
Exploring Operation: 48*120=5760, Resulting Numbers: [5760]
5760,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 40:[51, 117], Operations: ['56-5=51', '69+48=117']
Exploring Operation: 51+117=168, Resulting Numbers: [168]
168,40 unequal: No Solution
Exploring Operation: 51*117=5967, Resulting Numbers: [5967]
5967,40 unequal: No Solution
Exploring Operation: 117-51=66, Resulting Numbers: [66]
66,40 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: 40:[5, 35], Operations: ['69-56=13', '48-13=35']
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,40 unequal: No Solution
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,40 unequal: No Solution
Exploring Operation: 5*35=175, Resulting Numbers: [175]
175,40 unequal: No Solution
Exploring Operation: 5+35=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[56, 69, 5, 48], Operations: []
Exploring Operation: 69-56=13, Resulting Numbers: [5, 48, 13]
Generated Node #0,1: 40:[5, 48, 13] Operation: 69-56=13
Moving to Node #0,1
Current State: 40:[5, 48, 13], Operations: ['69-56=13']
Exploring Operation: 48-13=35, Resulting Numbers: [5, 35]
Generated Node #0,1,0: 40:[5, 35] Operation: 48-13=35
Moving to Node #0,1,0
Current State: 40:[5, 35], Operations: ['69-56=13', '48-13=35']
Exploring Operation: 5+35=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 0.953125 | hs_5 | mult_heuristic |
[
24,
27,
15,
68
] | 80 | [
"27-24=3",
"15+68=83",
"83-3=80"
] | Current State: 80:[24, 27, 15, 68], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [15, 68, 3]
Generated Node #2: [15, 68, 3] from Operation: 27-24=3
Current State: 80:[15, 68, 3], Operations: ['27-24=3']
Exploring Operation: 15+68=83, Resulting Numbers: [3, 83]
Generated Node #3: [3, 83] from Operation: 15+68=83
Current State: 80:[3, 83], Operations: ['27-24=3', '15+68=83']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[24, 27, 15, 68], Operations: []
Exploring Operation: 68-27=41, Resulting Numbers: [24, 15, 41]
Generated Node #0,0: 80:[24, 15, 41] Operation: 68-27=41
Exploring Operation: 27-24=3, Resulting Numbers: [15, 68, 3]
Generated Node #0,1: 80:[15, 68, 3] Operation: 27-24=3
Exploring Operation: 68-24=44, Resulting Numbers: [27, 15, 44]
Generated Node #0,2: 80:[27, 15, 44] Operation: 68-24=44
Moving to Node #0,0
Current State: 80:[24, 15, 41], Operations: ['68-27=41']
Exploring Operation: 41-24=17, Resulting Numbers: [15, 17]
Generated Node #0,0,0: 80:[15, 17] Operation: 41-24=17
Exploring Operation: 24-15=9, Resulting Numbers: [41, 9]
Generated Node #0,0,1: 80:[41, 9] Operation: 24-15=9
Exploring Operation: 24+15=39, Resulting Numbers: [41, 39]
Generated Node #0,0,2: 80:[41, 39] Operation: 24+15=39
Moving to Node #0,2
Current State: 80:[27, 15, 44], Operations: ['68-24=44']
Exploring Operation: 44-27=17, Resulting Numbers: [15, 17]
Generated Node #0,2,0: 80:[15, 17] Operation: 44-27=17
Exploring Operation: 27+15=42, Resulting Numbers: [44, 42]
Generated Node #0,2,1: 80:[44, 42] Operation: 27+15=42
Exploring Operation: 27-15=12, Resulting Numbers: [44, 12]
Generated Node #0,2,2: 80:[44, 12] Operation: 27-15=12
Moving to Node #0,1
Current State: 80:[15, 68, 3], Operations: ['27-24=3']
Exploring Operation: 15/3=5, Resulting Numbers: [68, 5]
Generated Node #0,1,0: 80:[68, 5] Operation: 15/3=5
Exploring Operation: 15+68=83, Resulting Numbers: [3, 83]
Generated Node #0,1,1: 80:[3, 83] Operation: 15+68=83
Exploring Operation: 68+3=71, Resulting Numbers: [15, 71]
Generated Node #0,1,2: 80:[15, 71] Operation: 68+3=71
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[3, 83], Operations: ['27-24=3', '15+68=83']
Exploring Operation: 3+83=86, Resulting Numbers: [86]
86,80 unequal: No Solution
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[24, 27, 15, 68], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [15, 68, 3]
Generated Node #0,1: 80:[15, 68, 3] Operation: 27-24=3
Moving to Node #0,1
Current State: 80:[15, 68, 3], Operations: ['27-24=3']
Exploring Operation: 15+68=83, Resulting Numbers: [3, 83]
Generated Node #0,1,1: 80:[3, 83] Operation: 15+68=83
Moving to Node #0,1,1
Current State: 80:[3, 83], Operations: ['27-24=3', '15+68=83']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
16,
77,
51,
33
] | 75 | [
"16+77=93",
"51-33=18",
"93-18=75"
] | Current State: 75:[16, 77, 51, 33], Operations: []
Exploring Operation: 16+77=93, Resulting Numbers: [51, 33, 93]
Generated Node #2: [51, 33, 93] from Operation: 16+77=93
Current State: 75:[51, 33, 93], Operations: ['16+77=93']
Exploring Operation: 51-33=18, Resulting Numbers: [93, 18]
Generated Node #3: [93, 18] from Operation: 51-33=18
Current State: 75:[93, 18], Operations: ['16+77=93', '51-33=18']
Exploring Operation: 93-18=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[16, 77, 51, 33], Operations: []
Exploring Operation: 51+33=84, Resulting Numbers: [16, 77, 84]
Generated Node #0,0: 75:[16, 77, 84] Operation: 51+33=84
Exploring Operation: 51-33=18, Resulting Numbers: [16, 77, 18]
Generated Node #0,1: 75:[16, 77, 18] Operation: 51-33=18
Exploring Operation: 16+51=67, Resulting Numbers: [77, 33, 67]
Generated Node #0,2: 75:[77, 33, 67] Operation: 16+51=67
Exploring Operation: 51-16=35, Resulting Numbers: [77, 33, 35]
Generated Node #0,3: 75:[77, 33, 35] Operation: 51-16=35
Exploring Operation: 77-51=26, Resulting Numbers: [16, 33, 26]
Generated Node #0,4: 75:[16, 33, 26] Operation: 77-51=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[16, 77, 18], Operations: ['51-33=18']
Exploring Operation: 18-16=2, Resulting Numbers: [77, 2]
Generated Node #0,1,0: 75:[77, 2] Operation: 18-16=2
Exploring Operation: 16+18=34, Resulting Numbers: [77, 34]
Generated Node #0,1,1: 75:[77, 34] Operation: 16+18=34
Exploring Operation: 77-16=61, Resulting Numbers: [18, 61]
Generated Node #0,1,2: 75:[18, 61] Operation: 77-16=61
Exploring Operation: 77-18=59, Resulting Numbers: [16, 59]
Generated Node #0,1,3: 75:[16, 59] Operation: 77-18=59
Exploring Operation: 16+77=93, Resulting Numbers: [18, 93]
Generated Node #0,1,4: 75:[18, 93] Operation: 16+77=93
Moving to Node #0,1,0
Current State: 75:[77, 2], Operations: ['51-33=18', '18-16=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,75 unequal: No Solution
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[16, 77, 51, 33], Operations: []
Exploring Operation: 51-33=18, Resulting Numbers: [16, 77, 18]
Generated Node #0,1: 75:[16, 77, 18] Operation: 51-33=18
Moving to Node #0,1
Current State: 75:[16, 77, 18], Operations: ['51-33=18']
Exploring Operation: 18-16=2, Resulting Numbers: [77, 2]
Generated Node #0,1,0: 75:[77, 2] Operation: 18-16=2
Moving to Node #0,1,0
Current State: 75:[77, 2], Operations: ['51-33=18', '18-16=2']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
67,
13,
2,
29
] | 69 | [
"67+13=80",
"80/2=40",
"29+40=69"
] | Current State: 69:[67, 13, 2, 29], Operations: []
Exploring Operation: 67+13=80, Resulting Numbers: [2, 29, 80]
Generated Node #2: [2, 29, 80] from Operation: 67+13=80
Current State: 69:[2, 29, 80], Operations: ['67+13=80']
Exploring Operation: 80/2=40, Resulting Numbers: [29, 40]
Generated Node #3: [29, 40] from Operation: 80/2=40
Current State: 69:[29, 40], Operations: ['67+13=80', '80/2=40']
Exploring Operation: 29+40=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[67, 13, 2, 29], Operations: []
Exploring Operation: 13*2=26, Resulting Numbers: [67, 29, 26]
Generated Node #0,0: 69:[67, 29, 26] Operation: 13*2=26
Exploring Operation: 29-13=16, Resulting Numbers: [67, 2, 16]
Generated Node #0,1: 69:[67, 2, 16] Operation: 29-13=16
Moving to Node #0,1
Current State: 69:[67, 2, 16], Operations: ['29-13=16']
Exploring Operation: 67+2=69, Resulting Numbers: [16, 69]
Generated Node #0,1,0: 69:[16, 69] Operation: 67+2=69
Exploring Operation: 2+16=18, Resulting Numbers: [67, 18]
Generated Node #0,1,1: 69:[67, 18] Operation: 2+16=18
Moving to Node #0,0
Current State: 69:[67, 29, 26], Operations: ['13*2=26']
Exploring Operation: 29+26=55, Resulting Numbers: [67, 55]
Generated Node #0,0,0: 69:[67, 55] Operation: 29+26=55
Exploring Operation: 29-26=3, Resulting Numbers: [67, 3]
Generated Node #0,0,1: 69:[67, 3] Operation: 29-26=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 69:[67, 3], Operations: ['13*2=26', '29-26=3']
Exploring Operation: 67+3=70, Resulting Numbers: [70]
70,69 unequal: No Solution
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[67, 55], Operations: ['13*2=26', '29+26=55']
Exploring Operation: 67+55=122, Resulting Numbers: [122]
122,69 unequal: No Solution
Exploring Operation: 67-55=12, Resulting Numbers: [12]
12,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 69:[16, 69], Operations: ['29-13=16', '67+2=69']
Exploring Operation: 16+69=85, Resulting Numbers: [85]
85,69 unequal: No Solution
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[67, 18], Operations: ['29-13=16', '2+16=18']
Exploring Operation: 67+18=85, Resulting Numbers: [85]
85,69 unequal: No Solution
Exploring Operation: 67-18=49, Resulting Numbers: [49]
49,69 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
94,
5,
11,
91
] | 18 | [
"94-91=3",
"11-5=6",
"3*6=18"
] | Current State: 18:[94, 5, 11, 91], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [5, 11, 3]
Generated Node #2: [5, 11, 3] from Operation: 94-91=3
Current State: 18:[5, 11, 3], Operations: ['94-91=3']
Exploring Operation: 11-5=6, Resulting Numbers: [3, 6]
Generated Node #3: [3, 6] from Operation: 11-5=6
Current State: 18:[3, 6], Operations: ['94-91=3', '11-5=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[94, 5, 11, 91], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [5, 11, 3]
Generated Node #0,0: 18:[5, 11, 3] Operation: 94-91=3
Exploring Operation: 94-11=83, Resulting Numbers: [5, 91, 83]
Generated Node #0,1: 18:[5, 91, 83] Operation: 94-11=83
Moving to Node #0,0
Current State: 18:[5, 11, 3], Operations: ['94-91=3']
Exploring Operation: 11-5=6, Resulting Numbers: [3, 6]
Generated Node #0,0,0: 18:[3, 6] Operation: 11-5=6
Exploring Operation: 5+11=16, Resulting Numbers: [3, 16]
Generated Node #0,0,1: 18:[3, 16] Operation: 5+11=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[3, 6], Operations: ['94-91=3', '11-5=6']
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[94, 5, 11, 91], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [5, 11, 3]
Generated Node #0,0: 18:[5, 11, 3] Operation: 94-91=3
Moving to Node #0,0
Current State: 18:[5, 11, 3], Operations: ['94-91=3']
Exploring Operation: 11-5=6, Resulting Numbers: [3, 6]
Generated Node #0,0,0: 18:[3, 6] Operation: 11-5=6
Moving to Node #0,0,0
Current State: 18:[3, 6], Operations: ['94-91=3', '11-5=6']
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
44,
40,
97,
97
] | 40 | [
"97-97=0",
"44*0=0",
"40+0=40"
] | Current State: 40:[44, 40, 97, 97], Operations: []
Exploring Operation: 97-97=0, Resulting Numbers: [44, 40, 0]
Generated Node #2: [44, 40, 0] from Operation: 97-97=0
Current State: 40:[44, 40, 0], Operations: ['97-97=0']
Exploring Operation: 44*0=0, Resulting Numbers: [40, 0]
Generated Node #3: [40, 0] from Operation: 44*0=0
Current State: 40:[40, 0], Operations: ['97-97=0', '44*0=0']
Exploring Operation: 40+0=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[44, 40, 97, 97], Operations: []
Exploring Operation: 97-97=0, Resulting Numbers: [44, 40, 0]
Generated Node #0,0: 40:[44, 40, 0] Operation: 97-97=0
Exploring Operation: 97-44=53, Resulting Numbers: [40, 97, 53]
Generated Node #0,1: 40:[40, 97, 53] Operation: 97-44=53
Exploring Operation: 97/97=1, Resulting Numbers: [44, 40, 1]
Generated Node #0,2: 40:[44, 40, 1] Operation: 97/97=1
Exploring Operation: 97-44=53, Resulting Numbers: [40, 97, 53]
Generated Node #0,3: 40:[40, 97, 53] Operation: 97-44=53
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[44, 40, 1], Operations: ['97/97=1']
Exploring Operation: 44-1=43, Resulting Numbers: [40, 43]
Generated Node #0,2,0: 40:[40, 43] Operation: 44-1=43
Exploring Operation: 44/1=44, Resulting Numbers: [40, 44]
Generated Node #0,2,1: 40:[40, 44] Operation: 44/1=44
Exploring Operation: 44*1=44, Resulting Numbers: [40, 44]
Generated Node #0,2,2: 40:[40, 44] Operation: 44*1=44
Exploring Operation: 44-40=4, Resulting Numbers: [1, 4]
Generated Node #0,2,3: 40:[1, 4] Operation: 44-40=4
Moving to Node #0,2,3
Current State: 40:[1, 4], Operations: ['97/97=1', '44-40=4']
Exploring Operation: 1+4=5, Resulting Numbers: [5]
5,40 unequal: No Solution
Exploring Operation: 1*4=4, Resulting Numbers: [4]
4,40 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,40 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Moving to Node #0,2,0
Current State: 40:[40, 43], Operations: ['97/97=1', '44-1=43']
Exploring Operation: 40*43=1720, Resulting Numbers: [1720]
1720,40 unequal: No Solution
Exploring Operation: 43-40=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Exploring Operation: 40+43=83, Resulting Numbers: [83]
83,40 unequal: No Solution
Moving to Node #0,2,2
Current State: 40:[40, 44], Operations: ['97/97=1', '44*1=44']
Exploring Operation: 40*44=1760, Resulting Numbers: [1760]
1760,40 unequal: No Solution
Exploring Operation: 40+44=84, Resulting Numbers: [84]
84,40 unequal: No Solution
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,40 unequal: No Solution
Moving to Node #0,2,1
Current State: 40:[40, 44], Operations: ['97/97=1', '44/1=44']
Exploring Operation: 40*44=1760, Resulting Numbers: [1760]
1760,40 unequal: No Solution
Exploring Operation: 40+44=84, Resulting Numbers: [84]
84,40 unequal: No Solution
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[44, 40, 0], Operations: ['97-97=0']
Exploring Operation: 44-0=44, Resulting Numbers: [40, 44]
Generated Node #0,0,0: 40:[40, 44] Operation: 44-0=44
Exploring Operation: 44-40=4, Resulting Numbers: [0, 4]
Generated Node #0,0,1: 40:[0, 4] Operation: 44-40=4
Exploring Operation: 44+0=44, Resulting Numbers: [40, 44]
Generated Node #0,0,2: 40:[40, 44] Operation: 44+0=44
Exploring Operation: 44*0=0, Resulting Numbers: [40, 0]
Generated Node #0,0,3: 40:[40, 0] Operation: 44*0=0
Moving to Node #0,0,1
Current State: 40:[0, 4], Operations: ['97-97=0', '44-40=4']
Exploring Operation: 0+4=4, Resulting Numbers: [4]
4,40 unequal: No Solution
Exploring Operation: 0*4=0, Resulting Numbers: [0]
0,40 unequal: No Solution
Exploring Operation: 4-0=4, Resulting Numbers: [4]
4,40 unequal: No Solution
Moving to Node #0,0,3
Current State: 40:[40, 0], Operations: ['97-97=0', '44*0=0']
Exploring Operation: 40*0=0, Resulting Numbers: [0]
0,40 unequal: No Solution
Exploring Operation: 40+0=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[44, 40, 97, 97], Operations: []
Exploring Operation: 97-97=0, Resulting Numbers: [44, 40, 0]
Generated Node #0,0: 40:[44, 40, 0] Operation: 97-97=0
Moving to Node #0,0
Current State: 40:[44, 40, 0], Operations: ['97-97=0']
Exploring Operation: 44*0=0, Resulting Numbers: [40, 0]
Generated Node #0,0,3: 40:[40, 0] Operation: 44*0=0
Moving to Node #0,0,3
Current State: 40:[40, 0], Operations: ['97-97=0', '44*0=0']
Exploring Operation: 40+0=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 | hs_4 | sum_heuristic |
[
48,
31,
86,
55
] | 26 | [
"48*55=2640",
"31*86=2666",
"2666-2640=26"
] | Current State: 26:[48, 31, 86, 55], Operations: []
Exploring Operation: 48*55=2640, Resulting Numbers: [31, 86, 2640]
Generated Node #2: [31, 86, 2640] from Operation: 48*55=2640
Current State: 26:[31, 86, 2640], Operations: ['48*55=2640']
Exploring Operation: 31*86=2666, Resulting Numbers: [2640, 2666]
Generated Node #3: [2640, 2666] from Operation: 31*86=2666
Current State: 26:[2640, 2666], Operations: ['48*55=2640', '31*86=2666']
Exploring Operation: 2666-2640=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[48, 31, 86, 55], Operations: []
Exploring Operation: 86-48=38, Resulting Numbers: [31, 55, 38]
Generated Node #0,0: 26:[31, 55, 38] Operation: 86-48=38
Exploring Operation: 86-55=31, Resulting Numbers: [48, 31, 31]
Generated Node #0,1: 26:[48, 31, 31] Operation: 86-55=31
Moving to Node #0,1
Current State: 26:[48, 31, 31], Operations: ['86-55=31']
Exploring Operation: 48-31=17, Resulting Numbers: [31, 17]
Generated Node #0,1,0: 26:[31, 17] Operation: 48-31=17
Exploring Operation: 48-31=17, Resulting Numbers: [31, 17]
Generated Node #0,1,1: 26:[31, 17] Operation: 48-31=17
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 26:[31, 17], Operations: ['86-55=31', '48-31=17']
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,26 unequal: No Solution
Exploring Operation: 31+17=48, Resulting Numbers: [48]
48,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 26:[31, 17], Operations: ['86-55=31', '48-31=17']
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,26 unequal: No Solution
Exploring Operation: 31+17=48, Resulting Numbers: [48]
48,26 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: 26:[31, 55, 38], Operations: ['86-48=38']
Exploring Operation: 55-31=24, Resulting Numbers: [38, 24]
Generated Node #0,0,0: 26:[38, 24] Operation: 55-31=24
Exploring Operation: 55-38=17, Resulting Numbers: [31, 17]
Generated Node #0,0,1: 26:[31, 17] Operation: 55-38=17
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 26:[31, 17], Operations: ['86-48=38', '55-38=17']
Exploring Operation: 31+17=48, Resulting Numbers: [48]
48,26 unequal: No Solution
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[38, 24], Operations: ['86-48=38', '55-31=24']
Exploring Operation: 38+24=62, Resulting Numbers: [62]
62,26 unequal: No Solution
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,26 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 |
[
33,
58,
2,
68
] | 96 | [
"58+68=126",
"126/2=63",
"33+63=96"
] | Current State: 96:[33, 58, 2, 68], Operations: []
Exploring Operation: 58+68=126, Resulting Numbers: [33, 2, 126]
Generated Node #2: [33, 2, 126] from Operation: 58+68=126
Current State: 96:[33, 2, 126], Operations: ['58+68=126']
Exploring Operation: 126/2=63, Resulting Numbers: [33, 63]
Generated Node #3: [33, 63] from Operation: 126/2=63
Current State: 96:[33, 63], Operations: ['58+68=126', '126/2=63']
Exploring Operation: 33+63=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[33, 58, 2, 68], Operations: []
Exploring Operation: 68-58=10, Resulting Numbers: [33, 2, 10]
Generated Node #0,0: 96:[33, 2, 10] Operation: 68-58=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[33, 2, 10], Operations: ['68-58=10']
Exploring Operation: 33-10=23, Resulting Numbers: [2, 23]
Generated Node #0,0,0: 96:[2, 23] Operation: 33-10=23
Moving to Node #0,0,0
Current State: 96:[2, 23], Operations: ['68-58=10', '33-10=23']
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
79,
62,
8,
98
] | 89 | [
"79-62=17",
"8+98=106",
"106-17=89"
] | Current State: 89:[79, 62, 8, 98], Operations: []
Exploring Operation: 79-62=17, Resulting Numbers: [8, 98, 17]
Generated Node #2: [8, 98, 17] from Operation: 79-62=17
Current State: 89:[8, 98, 17], Operations: ['79-62=17']
Exploring Operation: 8+98=106, Resulting Numbers: [17, 106]
Generated Node #3: [17, 106] from Operation: 8+98=106
Current State: 89:[17, 106], Operations: ['79-62=17', '8+98=106']
Exploring Operation: 106-17=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[79, 62, 8, 98], Operations: []
Exploring Operation: 79+8=87, Resulting Numbers: [62, 98, 87]
Generated Node #0,0: 89:[62, 98, 87] Operation: 79+8=87
Exploring Operation: 62+8=70, Resulting Numbers: [79, 98, 70]
Generated Node #0,1: 89:[79, 98, 70] Operation: 62+8=70
Moving to Node #0,0
Current State: 89:[62, 98, 87], Operations: ['79+8=87']
Exploring Operation: 62+87=149, Resulting Numbers: [98, 149]
Generated Node #0,0,0: 89:[98, 149] Operation: 62+87=149
Exploring Operation: 98-62=36, Resulting Numbers: [87, 36]
Generated Node #0,0,1: 89:[87, 36] Operation: 98-62=36
Moving to Node #0,1
Current State: 89:[79, 98, 70], Operations: ['62+8=70']
Exploring Operation: 98-70=28, Resulting Numbers: [79, 28]
Generated Node #0,1,0: 89:[79, 28] Operation: 98-70=28
Exploring Operation: 79+70=149, Resulting Numbers: [98, 149]
Generated Node #0,1,1: 89:[98, 149] Operation: 79+70=149
Moving to Node #0,0,1
Current State: 89:[87, 36], Operations: ['79+8=87', '98-62=36']
Exploring Operation: 87-36=51, Resulting Numbers: [51]
51,89 unequal: No Solution
Exploring Operation: 87+36=123, Resulting Numbers: [123]
123,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[98, 149], Operations: ['62+8=70', '79+70=149']
Exploring Operation: 149-98=51, Resulting Numbers: [51]
51,89 unequal: No Solution
Exploring Operation: 98+149=247, Resulting Numbers: [247]
247,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[98, 149], Operations: ['79+8=87', '62+87=149']
Exploring Operation: 149-98=51, Resulting Numbers: [51]
51,89 unequal: No Solution
Exploring Operation: 98+149=247, Resulting Numbers: [247]
247,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[79, 28], Operations: ['62+8=70', '98-70=28']
Exploring Operation: 79+28=107, Resulting Numbers: [107]
107,89 unequal: No Solution
Exploring Operation: 79-28=51, Resulting Numbers: [51]
51,89 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
2,
42,
11,
48
] | 81 | [
"2+42=44",
"48-11=37",
"44+37=81"
] | Current State: 81:[2, 42, 11, 48], Operations: []
Exploring Operation: 2+42=44, Resulting Numbers: [11, 48, 44]
Generated Node #2: [11, 48, 44] from Operation: 2+42=44
Current State: 81:[11, 48, 44], Operations: ['2+42=44']
Exploring Operation: 48-11=37, Resulting Numbers: [44, 37]
Generated Node #3: [44, 37] from Operation: 48-11=37
Current State: 81:[44, 37], Operations: ['2+42=44', '48-11=37']
Exploring Operation: 44+37=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[2, 42, 11, 48], Operations: []
Exploring Operation: 42+48=90, Resulting Numbers: [2, 11, 90]
Generated Node #0,0: 81:[2, 11, 90] Operation: 42+48=90
Exploring Operation: 48-42=6, Resulting Numbers: [2, 11, 6]
Generated Node #0,1: 81:[2, 11, 6] Operation: 48-42=6
Moving to Node #0,1
Current State: 81:[2, 11, 6], Operations: ['48-42=6']
Exploring Operation: 6/2=3, Resulting Numbers: [11, 3]
Generated Node #0,1,0: 81:[11, 3] Operation: 6/2=3
Exploring Operation: 11-2=9, Resulting Numbers: [6, 9]
Generated Node #0,1,1: 81:[6, 9] Operation: 11-2=9
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[11, 3], Operations: ['48-42=6', '6/2=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,81 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[6, 9], Operations: ['48-42=6', '11-2=9']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,81 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 81:[2, 11, 90], Operations: ['42+48=90']
Exploring Operation: 90-11=79, Resulting Numbers: [2, 79]
Generated Node #0,0,0: 81:[2, 79] Operation: 90-11=79
Exploring Operation: 11-2=9, Resulting Numbers: [90, 9]
Generated Node #0,0,1: 81:[90, 9] Operation: 11-2=9
Moving to Node #0,0,0
Current State: 81:[2, 79], Operations: ['42+48=90', '90-11=79']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,81 unequal: No Solution
Exploring Operation: 2+79=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[2, 42, 11, 48], Operations: []
Exploring Operation: 42+48=90, Resulting Numbers: [2, 11, 90]
Generated Node #0,0: 81:[2, 11, 90] Operation: 42+48=90
Moving to Node #0,0
Current State: 81:[2, 11, 90], Operations: ['42+48=90']
Exploring Operation: 90-11=79, Resulting Numbers: [2, 79]
Generated Node #0,0,0: 81:[2, 79] Operation: 90-11=79
Moving to Node #0,0,0
Current State: 81:[2, 79], Operations: ['42+48=90', '90-11=79']
Exploring Operation: 2+79=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 0.986111 | hs_2 | mult_heuristic |
[
82,
41,
6,
49
] | 97 | [
"41+49=90",
"90/6=15",
"82+15=97"
] | Current State: 97:[82, 41, 6, 49], Operations: []
Exploring Operation: 41+49=90, Resulting Numbers: [82, 6, 90]
Generated Node #2: [82, 6, 90] from Operation: 41+49=90
Current State: 97:[82, 6, 90], Operations: ['41+49=90']
Exploring Operation: 90/6=15, Resulting Numbers: [82, 15]
Generated Node #3: [82, 15] from Operation: 90/6=15
Current State: 97:[82, 15], Operations: ['41+49=90', '90/6=15']
Exploring Operation: 82+15=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[82, 41, 6, 49], Operations: []
Exploring Operation: 82+6=88, Resulting Numbers: [41, 49, 88]
Generated Node #0,0: 97:[41, 49, 88] Operation: 82+6=88
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[41, 49, 88], Operations: ['82+6=88']
Exploring Operation: 41+49=90, Resulting Numbers: [88, 90]
Generated Node #0,0,0: 97:[88, 90] Operation: 41+49=90
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[88, 90], Operations: ['82+6=88', '41+49=90']
Exploring Operation: 88+90=178, Resulting Numbers: [178]
178,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
72,
57,
89,
99
] | 45 | [
"72*57=4104",
"4104-99=4005",
"4005/89=45"
] | Current State: 45:[72, 57, 89, 99], Operations: []
Exploring Operation: 72*57=4104, Resulting Numbers: [89, 99, 4104]
Generated Node #2: [89, 99, 4104] from Operation: 72*57=4104
Current State: 45:[89, 99, 4104], Operations: ['72*57=4104']
Exploring Operation: 4104-99=4005, Resulting Numbers: [89, 4005]
Generated Node #3: [89, 4005] from Operation: 4104-99=4005
Current State: 45:[89, 4005], Operations: ['72*57=4104', '4104-99=4005']
Exploring Operation: 4005/89=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[72, 57, 89, 99], Operations: []
Exploring Operation: 99-89=10, Resulting Numbers: [72, 57, 10]
Generated Node #0,0: 45:[72, 57, 10] Operation: 99-89=10
Exploring Operation: 89-72=17, Resulting Numbers: [57, 99, 17]
Generated Node #0,1: 45:[57, 99, 17] Operation: 89-72=17
Exploring Operation: 99-72=27, Resulting Numbers: [57, 89, 27]
Generated Node #0,2: 45:[57, 89, 27] Operation: 99-72=27
Exploring Operation: 89-57=32, Resulting Numbers: [72, 99, 32]
Generated Node #0,3: 45:[72, 99, 32] Operation: 89-57=32
Exploring Operation: 99-57=42, Resulting Numbers: [72, 89, 42]
Generated Node #0,4: 45:[72, 89, 42] Operation: 99-57=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[72, 57, 10], Operations: ['99-89=10']
Exploring Operation: 57+10=67, Resulting Numbers: [72, 67]
Generated Node #0,0,0: 45:[72, 67] Operation: 57+10=67
Exploring Operation: 57-10=47, Resulting Numbers: [72, 47]
Generated Node #0,0,1: 45:[72, 47] Operation: 57-10=47
Exploring Operation: 72-57=15, Resulting Numbers: [10, 15]
Generated Node #0,0,2: 45:[10, 15] Operation: 72-57=15
Exploring Operation: 72-10=62, Resulting Numbers: [57, 62]
Generated Node #0,0,3: 45:[57, 62] Operation: 72-10=62
Exploring Operation: 72+10=82, Resulting Numbers: [57, 82]
Generated Node #0,0,4: 45:[57, 82] Operation: 72+10=82
Moving to Node #0,0,2
Current State: 45:[10, 15], Operations: ['99-89=10', '72-57=15']
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 10+15=25, Resulting Numbers: [25]
25,45 unequal: No Solution
Exploring Operation: 10*15=150, Resulting Numbers: [150]
150,45 unequal: No Solution
Moving to Node #0,0,3
Current State: 45:[57, 62], Operations: ['99-89=10', '72-10=62']
Exploring Operation: 57*62=3534, Resulting Numbers: [3534]
3534,45 unequal: No Solution
Exploring Operation: 57+62=119, Resulting Numbers: [119]
119,45 unequal: No Solution
Exploring Operation: 62-57=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Moving to Node #0,0,1
Current State: 45:[72, 47], Operations: ['99-89=10', '57-10=47']
Exploring Operation: 72+47=119, Resulting Numbers: [119]
119,45 unequal: No Solution
Exploring Operation: 72-47=25, Resulting Numbers: [25]
25,45 unequal: No Solution
Exploring Operation: 72*47=3384, Resulting Numbers: [3384]
3384,45 unequal: No Solution
Moving to Node #0,0,0
Current State: 45:[72, 67], Operations: ['99-89=10', '57+10=67']
Exploring Operation: 72*67=4824, Resulting Numbers: [4824]
4824,45 unequal: No Solution
Exploring Operation: 72+67=139, Resulting Numbers: [139]
139,45 unequal: No Solution
Exploring Operation: 72-67=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Moving to Node #0,0,4
Current State: 45:[57, 82], Operations: ['99-89=10', '72+10=82']
Exploring Operation: 57+82=139, Resulting Numbers: [139]
139,45 unequal: No Solution
Exploring Operation: 82-57=25, Resulting Numbers: [25]
25,45 unequal: No Solution
Exploring Operation: 57*82=4674, Resulting Numbers: [4674]
4674,45 unequal: No Solution
No 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: 45:[57, 99, 17], Operations: ['89-72=17']
Exploring Operation: 99-57=42, Resulting Numbers: [17, 42]
Generated Node #0,1,0: 45:[17, 42] Operation: 99-57=42
Exploring Operation: 57+17=74, Resulting Numbers: [99, 74]
Generated Node #0,1,1: 45:[99, 74] Operation: 57+17=74
Exploring Operation: 99-17=82, Resulting Numbers: [57, 82]
Generated Node #0,1,2: 45:[57, 82] Operation: 99-17=82
Exploring Operation: 99+17=116, Resulting Numbers: [57, 116]
Generated Node #0,1,3: 45:[57, 116] Operation: 99+17=116
Exploring Operation: 57-17=40, Resulting Numbers: [99, 40]
Generated Node #0,1,4: 45:[99, 40] Operation: 57-17=40
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 45:[17, 42], Operations: ['89-72=17', '99-57=42']
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,45 unequal: No Solution
Exploring Operation: 17*42=714, Resulting Numbers: [714]
714,45 unequal: No Solution
Exploring Operation: 17+42=59, Resulting Numbers: [59]
59,45 unequal: No Solution
No 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: 45:[57, 82], Operations: ['89-72=17', '99-17=82']
Exploring Operation: 57+82=139, Resulting Numbers: [139]
139,45 unequal: No Solution
Exploring Operation: 57*82=4674, Resulting Numbers: [4674]
4674,45 unequal: No Solution
Exploring Operation: 82-57=25, Resulting Numbers: [25]
25,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 45:[99, 40], Operations: ['89-72=17', '57-17=40']
Exploring Operation: 99*40=3960, Resulting Numbers: [3960]
3960,45 unequal: No Solution
Exploring Operation: 99+40=139, Resulting Numbers: [139]
139,45 unequal: No Solution
Exploring Operation: 99-40=59, Resulting Numbers: [59]
59,45 unequal: No Solution
No 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: 45:[99, 74], Operations: ['89-72=17', '57+17=74']
Exploring Operation: 99-74=25, Resulting Numbers: [25]
25,45 unequal: No Solution
Exploring Operation: 99+74=173, Resulting Numbers: [173]
173,45 unequal: No Solution
Exploring Operation: 99*74=7326, Resulting Numbers: [7326]
7326,45 unequal: No Solution
No 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: 45:[57, 116], Operations: ['89-72=17', '99+17=116']
Exploring Operation: 57*116=6612, Resulting Numbers: [6612]
6612,45 unequal: No Solution
Exploring Operation: 116-57=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 57+116=173, Resulting Numbers: [173]
173,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 45:[57, 89, 27], Operations: ['99-72=27']
Exploring Operation: 57+27=84, Resulting Numbers: [89, 84]
Generated Node #0,2,0: 45:[89, 84] Operation: 57+27=84
Exploring Operation: 89-57=32, Resulting Numbers: [27, 32]
Generated Node #0,2,1: 45:[27, 32] Operation: 89-57=32
Exploring Operation: 89-27=62, Resulting Numbers: [57, 62]
Generated Node #0,2,2: 45:[57, 62] Operation: 89-27=62
Exploring Operation: 57-27=30, Resulting Numbers: [89, 30]
Generated Node #0,2,3: 45:[89, 30] Operation: 57-27=30
Exploring Operation: 89+27=116, Resulting Numbers: [57, 116]
Generated Node #0,2,4: 45:[57, 116] Operation: 89+27=116
Moving to Node #0,2,1
Current State: 45:[27, 32], Operations: ['99-72=27', '89-57=32']
Exploring Operation: 27*32=864, Resulting Numbers: [864]
864,45 unequal: No Solution
Exploring Operation: 32-27=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 27+32=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Moving to Node #0,2,2
Current State: 45:[57, 62], Operations: ['99-72=27', '89-27=62']
Exploring Operation: 57+62=119, Resulting Numbers: [119]
119,45 unequal: No Solution
Exploring Operation: 57*62=3534, Resulting Numbers: [3534]
3534,45 unequal: No Solution
Exploring Operation: 62-57=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Moving to Node #0,2,3
Current State: 45:[89, 30], Operations: ['99-72=27', '57-27=30']
Exploring Operation: 89*30=2670, Resulting Numbers: [2670]
2670,45 unequal: No Solution
Exploring Operation: 89+30=119, Resulting Numbers: [119]
119,45 unequal: No Solution
Exploring Operation: 89-30=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Moving to Node #0,2,0
Current State: 45:[89, 84], Operations: ['99-72=27', '57+27=84']
Exploring Operation: 89+84=173, Resulting Numbers: [173]
173,45 unequal: No Solution
Exploring Operation: 89-84=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 89*84=7476, Resulting Numbers: [7476]
7476,45 unequal: No Solution
Moving to Node #0,2,4
Current State: 45:[57, 116], Operations: ['99-72=27', '89+27=116']
Exploring Operation: 57*116=6612, Resulting Numbers: [6612]
6612,45 unequal: No Solution
Exploring Operation: 116-57=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 57+116=173, Resulting Numbers: [173]
173,45 unequal: No Solution
No 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: 45:[72, 89, 42], Operations: ['99-57=42']
Exploring Operation: 89-42=47, Resulting Numbers: [72, 47]
Generated Node #0,4,0: 45:[72, 47] Operation: 89-42=47
Exploring Operation: 72+42=114, Resulting Numbers: [89, 114]
Generated Node #0,4,1: 45:[89, 114] Operation: 72+42=114
Exploring Operation: 89-72=17, Resulting Numbers: [42, 17]
Generated Node #0,4,2: 45:[42, 17] Operation: 89-72=17
Exploring Operation: 89+42=131, Resulting Numbers: [72, 131]
Generated Node #0,4,3: 45:[72, 131] Operation: 89+42=131
Exploring Operation: 72-42=30, Resulting Numbers: [89, 30]
Generated Node #0,4,4: 45:[89, 30] Operation: 72-42=30
Moving to Node #0,4,2
Current State: 45:[42, 17], Operations: ['99-57=42', '89-72=17']
Exploring Operation: 42*17=714, Resulting Numbers: [714]
714,45 unequal: No Solution
Exploring Operation: 42+17=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,45 unequal: No Solution
Moving to Node #0,4,0
Current State: 45:[72, 47], Operations: ['99-57=42', '89-42=47']
Exploring Operation: 72+47=119, Resulting Numbers: [119]
119,45 unequal: No Solution
Exploring Operation: 72-47=25, Resulting Numbers: [25]
25,45 unequal: No Solution
Exploring Operation: 72*47=3384, Resulting Numbers: [3384]
3384,45 unequal: No Solution
Moving to Node #0,4,4
Current State: 45:[89, 30], Operations: ['99-57=42', '72-42=30']
Exploring Operation: 89+30=119, Resulting Numbers: [119]
119,45 unequal: No Solution
Exploring Operation: 89-30=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 89*30=2670, Resulting Numbers: [2670]
2670,45 unequal: No Solution
Moving to Node #0,4,1
Current State: 45:[89, 114], Operations: ['99-57=42', '72+42=114']
Exploring Operation: 89+114=203, Resulting Numbers: [203]
203,45 unequal: No Solution
Exploring Operation: 114-89=25, Resulting Numbers: [25]
25,45 unequal: No Solution
Exploring Operation: 89*114=10146, Resulting Numbers: [10146]
10146,45 unequal: No Solution
Moving to Node #0,4,3
Current State: 45:[72, 131], Operations: ['99-57=42', '89+42=131']
Exploring Operation: 72*131=9432, Resulting Numbers: [9432]
9432,45 unequal: No Solution
Exploring Operation: 131-72=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 72+131=203, Resulting Numbers: [203]
203,45 unequal: No Solution
No 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: 45:[72, 99, 32], Operations: ['89-57=32']
Exploring Operation: 72-32=40, Resulting Numbers: [99, 40]
Generated Node #0,3,0: 45:[99, 40] Operation: 72-32=40
Exploring Operation: 99-72=27, Resulting Numbers: [32, 27]
Generated Node #0,3,1: 45:[32, 27] Operation: 99-72=27
Exploring Operation: 99+32=131, Resulting Numbers: [72, 131]
Generated Node #0,3,2: 45:[72, 131] Operation: 99+32=131
Exploring Operation: 99-32=67, Resulting Numbers: [72, 67]
Generated Node #0,3,3: 45:[72, 67] Operation: 99-32=67
Exploring Operation: 72+32=104, Resulting Numbers: [99, 104]
Generated Node #0,3,4: 45:[99, 104] Operation: 72+32=104
Moving to Node #0,3,1
Current State: 45:[32, 27], Operations: ['89-57=32', '99-72=27']
Exploring Operation: 32+27=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Exploring Operation: 32*27=864, Resulting Numbers: [864]
864,45 unequal: No Solution
Exploring Operation: 32-27=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Moving to Node #0,3,3
Current State: 45:[72, 67], Operations: ['89-57=32', '99-32=67']
Exploring Operation: 72*67=4824, Resulting Numbers: [4824]
4824,45 unequal: No Solution
Exploring Operation: 72+67=139, Resulting Numbers: [139]
139,45 unequal: No Solution
Exploring Operation: 72-67=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Moving to Node #0,3,0
Current State: 45:[99, 40], Operations: ['89-57=32', '72-32=40']
Exploring Operation: 99*40=3960, Resulting Numbers: [3960]
3960,45 unequal: No Solution
Exploring Operation: 99+40=139, Resulting Numbers: [139]
139,45 unequal: No Solution
Exploring Operation: 99-40=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Moving to Node #0,3,2
Current State: 45:[72, 131], Operations: ['89-57=32', '99+32=131']
Exploring Operation: 72*131=9432, Resulting Numbers: [9432]
9432,45 unequal: No Solution
Exploring Operation: 72+131=203, Resulting Numbers: [203]
203,45 unequal: No Solution
Exploring Operation: 131-72=59, Resulting Numbers: [59]
59,45 unequal: No Solution
Moving to Node #0,3,4
Current State: 45:[99, 104], Operations: ['89-57=32', '72+32=104']
Exploring Operation: 104-99=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 99+104=203, Resulting Numbers: [203]
203,45 unequal: No Solution
Exploring Operation: 99*104=10296, Resulting Numbers: [10296]
10296,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
21,
32,
1,
16
] | 63 | [
"32/16=2",
"1+2=3",
"21*3=63"
] | Current State: 63:[21, 32, 1, 16], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [21, 1, 2]
Generated Node #2: [21, 1, 2] from Operation: 32/16=2
Current State: 63:[21, 1, 2], Operations: ['32/16=2']
Exploring Operation: 1+2=3, Resulting Numbers: [21, 3]
Generated Node #3: [21, 3] from Operation: 1+2=3
Current State: 63:[21, 3], Operations: ['32/16=2', '1+2=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[21, 32, 1, 16], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [21, 1, 2]
Generated Node #0,0: 63:[21, 1, 2] Operation: 32/16=2
Moving to Node #0,0
Current State: 63:[21, 1, 2], Operations: ['32/16=2']
Exploring Operation: 1+2=3, Resulting Numbers: [21, 3]
Generated Node #0,0,0: 63:[21, 3] Operation: 1+2=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[21, 3], Operations: ['32/16=2', '1+2=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[21, 32, 1, 16], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [21, 1, 2]
Generated Node #0,0: 63:[21, 1, 2] Operation: 32/16=2
Moving to Node #0,0
Current State: 63:[21, 1, 2], Operations: ['32/16=2']
Exploring Operation: 1+2=3, Resulting Numbers: [21, 3]
Generated Node #0,0,0: 63:[21, 3] Operation: 1+2=3
Moving to Node #0,0,0
Current State: 63:[21, 3], Operations: ['32/16=2', '1+2=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
13,
14,
3,
8
] | 83 | [
"8-3=5",
"14*5=70",
"13+70=83"
] | Current State: 83:[13, 14, 3, 8], Operations: []
Exploring Operation: 8-3=5, Resulting Numbers: [13, 14, 5]
Generated Node #2: [13, 14, 5] from Operation: 8-3=5
Current State: 83:[13, 14, 5], Operations: ['8-3=5']
Exploring Operation: 14*5=70, Resulting Numbers: [13, 70]
Generated Node #3: [13, 70] from Operation: 14*5=70
Current State: 83:[13, 70], Operations: ['8-3=5', '14*5=70']
Exploring Operation: 13+70=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[13, 14, 3, 8], Operations: []
Exploring Operation: 13*8=104, Resulting Numbers: [14, 3, 104]
Generated Node #0,0: 83:[14, 3, 104] Operation: 13*8=104
Exploring Operation: 13*3=39, Resulting Numbers: [14, 8, 39]
Generated Node #0,1: 83:[14, 8, 39] Operation: 13*3=39
Exploring Operation: 3*8=24, Resulting Numbers: [13, 14, 24]
Generated Node #0,2: 83:[13, 14, 24] Operation: 3*8=24
Exploring Operation: 14*3=42, Resulting Numbers: [13, 8, 42]
Generated Node #0,3: 83:[13, 8, 42] Operation: 14*3=42
Exploring Operation: 14*8=112, Resulting Numbers: [13, 3, 112]
Generated Node #0,4: 83:[13, 3, 112] Operation: 14*8=112
Moving to Node #0,0
Current State: 83:[14, 3, 104], Operations: ['13*8=104']
Exploring Operation: 14+3=17, Resulting Numbers: [104, 17]
Generated Node #0,0,0: 83:[104, 17] Operation: 14+3=17
Exploring Operation: 14-3=11, Resulting Numbers: [104, 11]
Generated Node #0,0,1: 83:[104, 11] Operation: 14-3=11
Exploring Operation: 104-14=90, Resulting Numbers: [3, 90]
Generated Node #0,0,2: 83:[3, 90] Operation: 104-14=90
Exploring Operation: 104-3=101, Resulting Numbers: [14, 101]
Generated Node #0,0,3: 83:[14, 101] Operation: 104-3=101
Exploring Operation: 14*3=42, Resulting Numbers: [104, 42]
Generated Node #0,0,4: 83:[104, 42] Operation: 14*3=42
Moving to Node #0,4
Current State: 83:[13, 3, 112], Operations: ['14*8=112']
Exploring Operation: 13*3=39, Resulting Numbers: [112, 39]
Generated Node #0,4,0: 83:[112, 39] Operation: 13*3=39
Exploring Operation: 112-13=99, Resulting Numbers: [3, 99]
Generated Node #0,4,1: 83:[3, 99] Operation: 112-13=99
Exploring Operation: 112-3=109, Resulting Numbers: [13, 109]
Generated Node #0,4,2: 83:[13, 109] Operation: 112-3=109
Exploring Operation: 13+3=16, Resulting Numbers: [112, 16]
Generated Node #0,4,3: 83:[112, 16] Operation: 13+3=16
Exploring Operation: 13-3=10, Resulting Numbers: [112, 10]
Generated Node #0,4,4: 83:[112, 10] Operation: 13-3=10
Moving to Node #0,3
Current State: 83:[13, 8, 42], Operations: ['14*3=42']
Exploring Operation: 13-8=5, Resulting Numbers: [42, 5]
Generated Node #0,3,0: 83:[42, 5] Operation: 13-8=5
Exploring Operation: 8+42=50, Resulting Numbers: [13, 50]
Generated Node #0,3,1: 83:[13, 50] Operation: 8+42=50
Exploring Operation: 13+42=55, Resulting Numbers: [8, 55]
Generated Node #0,3,2: 83:[8, 55] Operation: 13+42=55
Exploring Operation: 13+8=21, Resulting Numbers: [42, 21]
Generated Node #0,3,3: 83:[42, 21] Operation: 13+8=21
Exploring Operation: 13*8=104, Resulting Numbers: [42, 104]
Generated Node #0,3,4: 83:[42, 104] Operation: 13*8=104
Moving to Node #0,1
Current State: 83:[14, 8, 39], Operations: ['13*3=39']
Exploring Operation: 14-8=6, Resulting Numbers: [39, 6]
Generated Node #0,1,0: 83:[39, 6] Operation: 14-8=6
Exploring Operation: 8+39=47, Resulting Numbers: [14, 47]
Generated Node #0,1,1: 83:[14, 47] Operation: 8+39=47
Exploring Operation: 14+8=22, Resulting Numbers: [39, 22]
Generated Node #0,1,2: 83:[39, 22] Operation: 14+8=22
Exploring Operation: 14+39=53, Resulting Numbers: [8, 53]
Generated Node #0,1,3: 83:[8, 53] Operation: 14+39=53
Exploring Operation: 14*8=112, Resulting Numbers: [39, 112]
Generated Node #0,1,4: 83:[39, 112] Operation: 14*8=112
Moving to Node #0,2
Current State: 83:[13, 14, 24], Operations: ['3*8=24']
Exploring Operation: 24-13=11, Resulting Numbers: [14, 11]
Generated Node #0,2,0: 83:[14, 11] Operation: 24-13=11
Exploring Operation: 13+24=37, Resulting Numbers: [14, 37]
Generated Node #0,2,1: 83:[14, 37] Operation: 13+24=37
Exploring Operation: 13+14=27, Resulting Numbers: [24, 27]
Generated Node #0,2,2: 83:[24, 27] Operation: 13+14=27
Exploring Operation: 14-13=1, Resulting Numbers: [24, 1]
Generated Node #0,2,3: 83:[24, 1] Operation: 14-13=1
Exploring Operation: 14+24=38, Resulting Numbers: [13, 38]
Generated Node #0,2,4: 83:[13, 38] Operation: 14+24=38
Moving to Node #0,0,4
Current State: 83:[104, 42], Operations: ['13*8=104', '14*3=42']
Exploring Operation: 104+42=146, Resulting Numbers: [146]
146,83 unequal: No Solution
Exploring Operation: 104-42=62, Resulting Numbers: [62]
62,83 unequal: No Solution
Exploring Operation: 104*42=4368, Resulting Numbers: [4368]
4368,83 unequal: No Solution
Moving to Node #0,3,4
Current State: 83:[42, 104], Operations: ['14*3=42', '13*8=104']
Exploring Operation: 42*104=4368, Resulting Numbers: [4368]
4368,83 unequal: No Solution
Exploring Operation: 104-42=62, Resulting Numbers: [62]
62,83 unequal: No Solution
Exploring Operation: 42+104=146, Resulting Numbers: [146]
146,83 unequal: No Solution
Moving to Node #0,4,0
Current State: 83:[112, 39], Operations: ['14*8=112', '13*3=39']
Exploring Operation: 112*39=4368, Resulting Numbers: [4368]
4368,83 unequal: No Solution
Exploring Operation: 112-39=73, Resulting Numbers: [73]
73,83 unequal: No Solution
Exploring Operation: 112+39=151, Resulting Numbers: [151]
151,83 unequal: No Solution
Moving to Node #0,1,4
Current State: 83:[39, 112], Operations: ['13*3=39', '14*8=112']
Exploring Operation: 112-39=73, Resulting Numbers: [73]
73,83 unequal: No Solution
Exploring Operation: 39*112=4368, Resulting Numbers: [4368]
4368,83 unequal: No Solution
Exploring Operation: 39+112=151, Resulting Numbers: [151]
151,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[3, 90], Operations: ['13*8=104', '104-14=90']
Exploring Operation: 90-3=87, Resulting Numbers: [87]
87,83 unequal: No Solution
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,83 unequal: No Solution
Exploring Operation: 3+90=93, Resulting Numbers: [93]
93,83 unequal: No Solution
Exploring Operation: 3*90=270, Resulting Numbers: [270]
270,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[104, 17], Operations: ['13*8=104', '14+3=17']
Exploring Operation: 104-17=87, Resulting Numbers: [87]
87,83 unequal: No Solution
Exploring Operation: 104*17=1768, Resulting Numbers: [1768]
1768,83 unequal: No Solution
Exploring Operation: 104+17=121, Resulting Numbers: [121]
121,83 unequal: No Solution
Moving to Node #0,0,3
Current State: 83:[14, 101], Operations: ['13*8=104', '104-3=101']
Exploring Operation: 101-14=87, Resulting Numbers: [87]
87,83 unequal: No Solution
Exploring Operation: 14*101=1414, Resulting Numbers: [1414]
1414,83 unequal: No Solution
Exploring Operation: 14+101=115, Resulting Numbers: [115]
115,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[104, 11], Operations: ['13*8=104', '14-3=11']
Exploring Operation: 104-11=93, Resulting Numbers: [93]
93,83 unequal: No Solution
Exploring Operation: 104+11=115, Resulting Numbers: [115]
115,83 unequal: No Solution
Exploring Operation: 104*11=1144, Resulting Numbers: [1144]
1144,83 unequal: No Solution
Moving to Node #0,4,1
Current State: 83:[3, 99], Operations: ['14*8=112', '112-13=99']
Exploring Operation: 3+99=102, Resulting Numbers: [102]
102,83 unequal: No Solution
Exploring Operation: 99-3=96, Resulting Numbers: [96]
96,83 unequal: No Solution
Exploring Operation: 3*99=297, Resulting Numbers: [297]
297,83 unequal: No Solution
Exploring Operation: 99/3=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Moving to Node #0,4,3
Current State: 83:[112, 16], Operations: ['14*8=112', '13+3=16']
Exploring Operation: 112*16=1792, Resulting Numbers: [1792]
1792,83 unequal: No Solution
Exploring Operation: 112/16=7, Resulting Numbers: [7]
7,83 unequal: No Solution
Exploring Operation: 112+16=128, Resulting Numbers: [128]
128,83 unequal: No Solution
Exploring Operation: 112-16=96, Resulting Numbers: [96]
96,83 unequal: No Solution
Moving to Node #0,4,2
Current State: 83:[13, 109], Operations: ['14*8=112', '112-3=109']
Exploring Operation: 13*109=1417, Resulting Numbers: [1417]
1417,83 unequal: No Solution
Exploring Operation: 109-13=96, Resulting Numbers: [96]
96,83 unequal: No Solution
Exploring Operation: 13+109=122, Resulting Numbers: [122]
122,83 unequal: No Solution
Moving to Node #0,4,4
Current State: 83:[112, 10], Operations: ['14*8=112', '13-3=10']
Exploring Operation: 112+10=122, Resulting Numbers: [122]
122,83 unequal: No Solution
Exploring Operation: 112-10=102, Resulting Numbers: [102]
102,83 unequal: No Solution
Exploring Operation: 112*10=1120, Resulting Numbers: [1120]
1120,83 unequal: No Solution
Moving to Node #0,3,3
Current State: 83:[42, 21], Operations: ['14*3=42', '13+8=21']
Exploring Operation: 42*21=882, Resulting Numbers: [882]
882,83 unequal: No Solution
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,83 unequal: No Solution
Exploring Operation: 42+21=63, Resulting Numbers: [63]
63,83 unequal: No Solution
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Moving to Node #0,3,2
Current State: 83:[8, 55], Operations: ['14*3=42', '13+42=55']
Exploring Operation: 8*55=440, Resulting Numbers: [440]
440,83 unequal: No Solution
Exploring Operation: 8+55=63, Resulting Numbers: [63]
63,83 unequal: No Solution
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Moving to Node #0,3,1
Current State: 83:[13, 50], Operations: ['14*3=42', '8+42=50']
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Exploring Operation: 13*50=650, Resulting Numbers: [650]
650,83 unequal: No Solution
Exploring Operation: 13+50=63, Resulting Numbers: [63]
63,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[39, 22], Operations: ['13*3=39', '14+8=22']
Exploring Operation: 39+22=61, Resulting Numbers: [61]
61,83 unequal: No Solution
Exploring Operation: 39-22=17, Resulting Numbers: [17]
17,83 unequal: No Solution
Exploring Operation: 39*22=858, Resulting Numbers: [858]
858,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[8, 53], Operations: ['13*3=39', '14+39=53']
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,83 unequal: No Solution
Exploring Operation: 8+53=61, Resulting Numbers: [61]
61,83 unequal: No Solution
Exploring Operation: 8*53=424, Resulting Numbers: [424]
424,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[14, 47], Operations: ['13*3=39', '8+39=47']
Exploring Operation: 14*47=658, Resulting Numbers: [658]
658,83 unequal: No Solution
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Exploring Operation: 14+47=61, Resulting Numbers: [61]
61,83 unequal: No Solution
Moving to Node #0,2,4
Current State: 83:[13, 38], Operations: ['3*8=24', '14+24=38']
Exploring Operation: 13*38=494, Resulting Numbers: [494]
494,83 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,83 unequal: No Solution
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[24, 27], Operations: ['3*8=24', '13+14=27']
Exploring Operation: 27-24=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 24+27=51, Resulting Numbers: [51]
51,83 unequal: No Solution
Exploring Operation: 24*27=648, Resulting Numbers: [648]
648,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[14, 37], Operations: ['3*8=24', '13+24=37']
Exploring Operation: 14+37=51, Resulting Numbers: [51]
51,83 unequal: No Solution
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Exploring Operation: 14*37=518, Resulting Numbers: [518]
518,83 unequal: No Solution
Moving to Node #0,3,0
Current State: 83:[42, 5], Operations: ['14*3=42', '13-8=5']
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,83 unequal: No Solution
Exploring Operation: 42*5=210, Resulting Numbers: [210]
210,83 unequal: No Solution
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[39, 6], Operations: ['13*3=39', '14-8=6']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Exploring Operation: 39+6=45, Resulting Numbers: [45]
45,83 unequal: No Solution
Exploring Operation: 39*6=234, Resulting Numbers: [234]
234,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[14, 11], Operations: ['3*8=24', '24-13=11']
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,83 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[24, 1], Operations: ['3*8=24', '14-13=1']
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,83 unequal: No Solution
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,83 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,83 unequal: No Solution
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,83 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
87,
76,
7,
56
] | 74 | [
"87-76=11",
"7+56=63",
"11+63=74"
] | Current State: 74:[87, 76, 7, 56], Operations: []
Exploring Operation: 87-76=11, Resulting Numbers: [7, 56, 11]
Generated Node #2: [7, 56, 11] from Operation: 87-76=11
Current State: 74:[7, 56, 11], Operations: ['87-76=11']
Exploring Operation: 7+56=63, Resulting Numbers: [11, 63]
Generated Node #3: [11, 63] from Operation: 7+56=63
Current State: 74:[11, 63], Operations: ['87-76=11', '7+56=63']
Exploring Operation: 11+63=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[87, 76, 7, 56], Operations: []
Exploring Operation: 87-7=80, Resulting Numbers: [76, 56, 80]
Generated Node #0,0: 74:[76, 56, 80] Operation: 87-7=80
Exploring Operation: 56-7=49, Resulting Numbers: [87, 76, 49]
Generated Node #0,1: 74:[87, 76, 49] Operation: 56-7=49
Exploring Operation: 87-56=31, Resulting Numbers: [76, 7, 31]
Generated Node #0,2: 74:[76, 7, 31] Operation: 87-56=31
Exploring Operation: 56/7=8, Resulting Numbers: [87, 76, 8]
Generated Node #0,3: 74:[87, 76, 8] Operation: 56/7=8
Exploring Operation: 7+56=63, Resulting Numbers: [87, 76, 63]
Generated Node #0,4: 74:[87, 76, 63] Operation: 7+56=63
Moving to Node #0,2
Current State: 74:[76, 7, 31], Operations: ['87-56=31']
Exploring Operation: 7+31=38, Resulting Numbers: [76, 38]
Generated Node #0,2,0: 74:[76, 38] Operation: 7+31=38
Exploring Operation: 76-7=69, Resulting Numbers: [31, 69]
Generated Node #0,2,1: 74:[31, 69] Operation: 76-7=69
Exploring Operation: 76-31=45, Resulting Numbers: [7, 45]
Generated Node #0,2,2: 74:[7, 45] Operation: 76-31=45
Exploring Operation: 76+7=83, Resulting Numbers: [31, 83]
Generated Node #0,2,3: 74:[31, 83] Operation: 76+7=83
Exploring Operation: 31-7=24, Resulting Numbers: [76, 24]
Generated Node #0,2,4: 74:[76, 24] Operation: 31-7=24
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 74:[76, 38], Operations: ['87-56=31', '7+31=38']
Exploring Operation: 76*38=2888, Resulting Numbers: [2888]
2888,74 unequal: No Solution
Exploring Operation: 76/38=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 76+38=114, Resulting Numbers: [114]
114,74 unequal: No Solution
Exploring Operation: 76-38=38, Resulting Numbers: [38]
38,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 74:[31, 69], Operations: ['87-56=31', '76-7=69']
Exploring Operation: 31*69=2139, Resulting Numbers: [2139]
2139,74 unequal: No Solution
Exploring Operation: 31+69=100, Resulting Numbers: [100]
100,74 unequal: No Solution
Exploring Operation: 69-31=38, Resulting Numbers: [38]
38,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 74:[7, 45], Operations: ['87-56=31', '76-31=45']
Exploring Operation: 7+45=52, Resulting Numbers: [52]
52,74 unequal: No Solution
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,74 unequal: No Solution
Exploring Operation: 7*45=315, Resulting Numbers: [315]
315,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 74:[31, 83], Operations: ['87-56=31', '76+7=83']
Exploring Operation: 31*83=2573, Resulting Numbers: [2573]
2573,74 unequal: No Solution
Exploring Operation: 31+83=114, Resulting Numbers: [114]
114,74 unequal: No Solution
Exploring Operation: 83-31=52, Resulting Numbers: [52]
52,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 74:[76, 24], Operations: ['87-56=31', '31-7=24']
Exploring Operation: 76+24=100, Resulting Numbers: [100]
100,74 unequal: No Solution
Exploring Operation: 76-24=52, Resulting Numbers: [52]
52,74 unequal: No Solution
Exploring Operation: 76*24=1824, Resulting Numbers: [1824]
1824,74 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: 74:[87, 76, 8], Operations: ['56/7=8']
Exploring Operation: 87-76=11, Resulting Numbers: [8, 11]
Generated Node #0,3,0: 74:[8, 11] Operation: 87-76=11
Exploring Operation: 76+8=84, Resulting Numbers: [87, 84]
Generated Node #0,3,1: 74:[87, 84] Operation: 76+8=84
Exploring Operation: 76-8=68, Resulting Numbers: [87, 68]
Generated Node #0,3,2: 74:[87, 68] Operation: 76-8=68
Exploring Operation: 87+8=95, Resulting Numbers: [76, 95]
Generated Node #0,3,3: 74:[76, 95] Operation: 87+8=95
Exploring Operation: 87-8=79, Resulting Numbers: [76, 79]
Generated Node #0,3,4: 74:[76, 79] Operation: 87-8=79
Moving to Node #0,0
Current State: 74:[76, 56, 80], Operations: ['87-7=80']
Exploring Operation: 80-56=24, Resulting Numbers: [76, 24]
Generated Node #0,0,0: 74:[76, 24] Operation: 80-56=24
Exploring Operation: 80-76=4, Resulting Numbers: [56, 4]
Generated Node #0,0,1: 74:[56, 4] Operation: 80-76=4
Exploring Operation: 76+56=132, Resulting Numbers: [80, 132]
Generated Node #0,0,2: 74:[80, 132] Operation: 76+56=132
Exploring Operation: 56+80=136, Resulting Numbers: [76, 136]
Generated Node #0,0,3: 74:[76, 136] Operation: 56+80=136
Exploring Operation: 76-56=20, Resulting Numbers: [80, 20]
Generated Node #0,0,4: 74:[80, 20] Operation: 76-56=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[76, 24], Operations: ['87-7=80', '80-56=24']
Exploring Operation: 76*24=1824, Resulting Numbers: [1824]
1824,74 unequal: No Solution
Exploring Operation: 76-24=52, Resulting Numbers: [52]
52,74 unequal: No Solution
Exploring Operation: 76+24=100, Resulting Numbers: [100]
100,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 74:[56, 4], Operations: ['87-7=80', '80-76=4']
Exploring Operation: 56+4=60, Resulting Numbers: [60]
60,74 unequal: No Solution
Exploring Operation: 56*4=224, Resulting Numbers: [224]
224,74 unequal: No Solution
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,74 unequal: No Solution
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 74:[80, 20], Operations: ['87-7=80', '76-56=20']
Exploring Operation: 80-20=60, Resulting Numbers: [60]
60,74 unequal: No Solution
Exploring Operation: 80+20=100, Resulting Numbers: [100]
100,74 unequal: No Solution
Exploring Operation: 80*20=1600, Resulting Numbers: [1600]
1600,74 unequal: No Solution
Exploring Operation: 80/20=4, Resulting Numbers: [4]
4,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 74:[80, 132], Operations: ['87-7=80', '76+56=132']
Exploring Operation: 80+132=212, Resulting Numbers: [212]
212,74 unequal: No Solution
Exploring Operation: 80*132=10560, Resulting Numbers: [10560]
10560,74 unequal: No Solution
Exploring Operation: 132-80=52, Resulting Numbers: [52]
52,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 74:[76, 136], Operations: ['87-7=80', '56+80=136']
Exploring Operation: 76*136=10336, Resulting Numbers: [10336]
10336,74 unequal: No Solution
Exploring Operation: 136-76=60, Resulting Numbers: [60]
60,74 unequal: No Solution
Exploring Operation: 76+136=212, Resulting Numbers: [212]
212,74 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: 74:[87, 76, 63], Operations: ['7+56=63']
Exploring Operation: 76-63=13, Resulting Numbers: [87, 13]
Generated Node #0,4,0: 74:[87, 13] Operation: 76-63=13
Exploring Operation: 87-63=24, Resulting Numbers: [76, 24]
Generated Node #0,4,1: 74:[76, 24] Operation: 87-63=24
Exploring Operation: 76+63=139, Resulting Numbers: [87, 139]
Generated Node #0,4,2: 74:[87, 139] Operation: 76+63=139
Exploring Operation: 87-76=11, Resulting Numbers: [63, 11]
Generated Node #0,4,3: 74:[63, 11] Operation: 87-76=11
Exploring Operation: 87+63=150, Resulting Numbers: [76, 150]
Generated Node #0,4,4: 74:[76, 150] Operation: 87+63=150
Moving to Node #0,1
Current State: 74:[87, 76, 49], Operations: ['56-7=49']
Exploring Operation: 76+49=125, Resulting Numbers: [87, 125]
Generated Node #0,1,0: 74:[87, 125] Operation: 76+49=125
Exploring Operation: 76-49=27, Resulting Numbers: [87, 27]
Generated Node #0,1,1: 74:[87, 27] Operation: 76-49=27
Exploring Operation: 87-76=11, Resulting Numbers: [49, 11]
Generated Node #0,1,2: 74:[49, 11] Operation: 87-76=11
Exploring Operation: 87+49=136, Resulting Numbers: [76, 136]
Generated Node #0,1,3: 74:[76, 136] Operation: 87+49=136
Exploring Operation: 87-49=38, Resulting Numbers: [76, 38]
Generated Node #0,1,4: 74:[76, 38] Operation: 87-49=38
Moving to Node #0,1,4
Current State: 74:[76, 38], Operations: ['56-7=49', '87-49=38']
Exploring Operation: 76-38=38, Resulting Numbers: [38]
38,74 unequal: No Solution
Exploring Operation: 76*38=2888, Resulting Numbers: [2888]
2888,74 unequal: No Solution
Exploring Operation: 76+38=114, Resulting Numbers: [114]
114,74 unequal: No Solution
Exploring Operation: 76/38=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Moving to Node #0,3,4
Current State: 74:[76, 79], Operations: ['56/7=8', '87-8=79']
Exploring Operation: 76*79=6004, Resulting Numbers: [6004]
6004,74 unequal: No Solution
Exploring Operation: 76+79=155, Resulting Numbers: [155]
155,74 unequal: No Solution
Exploring Operation: 79-76=3, Resulting Numbers: [3]
3,74 unequal: No Solution
Moving to Node #0,4,1
Current State: 74:[76, 24], Operations: ['7+56=63', '87-63=24']
Exploring Operation: 76-24=52, Resulting Numbers: [52]
52,74 unequal: No Solution
Exploring Operation: 76*24=1824, Resulting Numbers: [1824]
1824,74 unequal: No Solution
Exploring Operation: 76+24=100, Resulting Numbers: [100]
100,74 unequal: No Solution
Moving to Node #0,3,0
Current State: 74:[8, 11], Operations: ['56/7=8', '87-76=11']
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,74 unequal: No Solution
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,74 unequal: No Solution
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,74 unequal: No Solution
Moving to Node #0,3,2
Current State: 74:[87, 68], Operations: ['56/7=8', '76-8=68']
Exploring Operation: 87+68=155, Resulting Numbers: [155]
155,74 unequal: No Solution
Exploring Operation: 87*68=5916, Resulting Numbers: [5916]
5916,74 unequal: No Solution
Exploring Operation: 87-68=19, Resulting Numbers: [19]
19,74 unequal: No Solution
Moving to Node #0,4,3
Current State: 74:[63, 11], Operations: ['7+56=63', '87-76=11']
Exploring Operation: 63-11=52, Resulting Numbers: [52]
52,74 unequal: No Solution
Exploring Operation: 63*11=693, Resulting Numbers: [693]
693,74 unequal: No Solution
Exploring Operation: 63+11=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[87, 76, 7, 56], Operations: []
Exploring Operation: 7+56=63, Resulting Numbers: [87, 76, 63]
Generated Node #0,4: 74:[87, 76, 63] Operation: 7+56=63
Moving to Node #0,4
Current State: 74:[87, 76, 63], Operations: ['7+56=63']
Exploring Operation: 87-76=11, Resulting Numbers: [63, 11]
Generated Node #0,4,3: 74:[63, 11] Operation: 87-76=11
Moving to Node #0,4,3
Current State: 74:[63, 11], Operations: ['7+56=63', '87-76=11']
Exploring Operation: 63+11=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 0.925347 | hs_5 | sum_heuristic |
[
82,
49,
38,
55
] | 60 | [
"82-49=33",
"38+55=93",
"93-33=60"
] | Current State: 60:[82, 49, 38, 55], Operations: []
Exploring Operation: 82-49=33, Resulting Numbers: [38, 55, 33]
Generated Node #2: [38, 55, 33] from Operation: 82-49=33
Current State: 60:[38, 55, 33], Operations: ['82-49=33']
Exploring Operation: 38+55=93, Resulting Numbers: [33, 93]
Generated Node #3: [33, 93] from Operation: 38+55=93
Current State: 60:[33, 93], Operations: ['82-49=33', '38+55=93']
Exploring Operation: 93-33=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[82, 49, 38, 55], Operations: []
Exploring Operation: 82-55=27, Resulting Numbers: [49, 38, 27]
Generated Node #0,0: 60:[49, 38, 27] Operation: 82-55=27
Exploring Operation: 49-38=11, Resulting Numbers: [82, 55, 11]
Generated Node #0,1: 60:[82, 55, 11] Operation: 49-38=11
Exploring Operation: 82-49=33, Resulting Numbers: [38, 55, 33]
Generated Node #0,2: 60:[38, 55, 33] Operation: 82-49=33
Start Sub Search at level 1: Moving to Node #0,2
Current State: 60:[38, 55, 33], Operations: ['82-49=33']
Exploring Operation: 55-33=22, Resulting Numbers: [38, 22]
Generated Node #0,2,0: 60:[38, 22] Operation: 55-33=22
Exploring Operation: 55-38=17, Resulting Numbers: [33, 17]
Generated Node #0,2,1: 60:[33, 17] Operation: 55-38=17
Exploring Operation: 38-33=5, Resulting Numbers: [55, 5]
Generated Node #0,2,2: 60:[55, 5] Operation: 38-33=5
Moving to Node #0,2,1
Current State: 60:[33, 17], Operations: ['82-49=33', '55-38=17']
Exploring Operation: 33*17=561, Resulting Numbers: [561]
561,60 unequal: No Solution
Exploring Operation: 33+17=50, Resulting Numbers: [50]
50,60 unequal: No Solution
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,2,2
Current State: 60:[55, 5], Operations: ['82-49=33', '38-33=5']
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[82, 49, 38, 55], Operations: []
Exploring Operation: 82-49=33, Resulting Numbers: [38, 55, 33]
Generated Node #0,2: 60:[38, 55, 33] Operation: 82-49=33
Moving to Node #0,2
Current State: 60:[38, 55, 33], Operations: ['82-49=33']
Exploring Operation: 38-33=5, Resulting Numbers: [55, 5]
Generated Node #0,2,2: 60:[55, 5] Operation: 38-33=5
Moving to Node #0,2,2
Current State: 60:[55, 5], Operations: ['82-49=33', '38-33=5']
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
43,
29,
37,
38
] | 73 | [
"43+29=72",
"38-37=1",
"72+1=73"
] | Current State: 73:[43, 29, 37, 38], Operations: []
Exploring Operation: 43+29=72, Resulting Numbers: [37, 38, 72]
Generated Node #2: [37, 38, 72] from Operation: 43+29=72
Current State: 73:[37, 38, 72], Operations: ['43+29=72']
Exploring Operation: 38-37=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 38-37=1
Current State: 73:[72, 1], Operations: ['43+29=72', '38-37=1']
Exploring Operation: 72+1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[43, 29, 37, 38], Operations: []
Exploring Operation: 43+29=72, Resulting Numbers: [37, 38, 72]
Generated Node #0,0: 73:[37, 38, 72] Operation: 43+29=72
Moving to Node #0,0
Current State: 73:[37, 38, 72], Operations: ['43+29=72']
Exploring Operation: 37+38=75, Resulting Numbers: [72, 75]
Generated Node #0,0,0: 73:[72, 75] Operation: 37+38=75
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[72, 75], Operations: ['43+29=72', '37+38=75']
Exploring Operation: 75-72=3, Resulting Numbers: [3]
3,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
81,
57,
97,
83
] | 80 | [
"83-81=2",
"97-57=40",
"2*40=80"
] | Current State: 80:[81, 57, 97, 83], Operations: []
Exploring Operation: 83-81=2, Resulting Numbers: [57, 97, 2]
Generated Node #2: [57, 97, 2] from Operation: 83-81=2
Current State: 80:[57, 97, 2], Operations: ['83-81=2']
Exploring Operation: 97-57=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 97-57=40
Current State: 80:[2, 40], Operations: ['83-81=2', '97-57=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[81, 57, 97, 83], Operations: []
Exploring Operation: 81-57=24, Resulting Numbers: [97, 83, 24]
Generated Node #0,0: 80:[97, 83, 24] Operation: 81-57=24
Exploring Operation: 97-83=14, Resulting Numbers: [81, 57, 14]
Generated Node #0,1: 80:[81, 57, 14] Operation: 97-83=14
Exploring Operation: 97-57=40, Resulting Numbers: [81, 83, 40]
Generated Node #0,2: 80:[81, 83, 40] Operation: 97-57=40
Exploring Operation: 97-81=16, Resulting Numbers: [57, 83, 16]
Generated Node #0,3: 80:[57, 83, 16] Operation: 97-81=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 80:[81, 83, 40], Operations: ['97-57=40']
Exploring Operation: 81-40=41, Resulting Numbers: [83, 41]
Generated Node #0,2,0: 80:[83, 41] Operation: 81-40=41
Exploring Operation: 81+40=121, Resulting Numbers: [83, 121]
Generated Node #0,2,1: 80:[83, 121] Operation: 81+40=121
Exploring Operation: 83-40=43, Resulting Numbers: [81, 43]
Generated Node #0,2,2: 80:[81, 43] Operation: 83-40=43
Exploring Operation: 83-81=2, Resulting Numbers: [40, 2]
Generated Node #0,2,3: 80:[40, 2] Operation: 83-81=2
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 80:[40, 2], Operations: ['97-57=40', '83-81=2']
Exploring Operation: 40*2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[81, 57, 97, 83], Operations: []
Exploring Operation: 97-57=40, Resulting Numbers: [81, 83, 40]
Generated Node #0,2: 80:[81, 83, 40] Operation: 97-57=40
Moving to Node #0,2
Current State: 80:[81, 83, 40], Operations: ['97-57=40']
Exploring Operation: 83-81=2, Resulting Numbers: [40, 2]
Generated Node #0,2,3: 80:[40, 2] Operation: 83-81=2
Moving to Node #0,2,3
Current State: 80:[40, 2], Operations: ['97-57=40', '83-81=2']
Exploring Operation: 40*2=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
7,
5,
10,
39
] | 59 | [
"7-5=2",
"10*2=20",
"39+20=59"
] | Current State: 59:[7, 5, 10, 39], Operations: []
Exploring Operation: 7-5=2, Resulting Numbers: [10, 39, 2]
Generated Node #2: [10, 39, 2] from Operation: 7-5=2
Current State: 59:[10, 39, 2], Operations: ['7-5=2']
Exploring Operation: 10*2=20, Resulting Numbers: [39, 20]
Generated Node #3: [39, 20] from Operation: 10*2=20
Current State: 59:[39, 20], Operations: ['7-5=2', '10*2=20']
Exploring Operation: 39+20=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[7, 5, 10, 39], Operations: []
Exploring Operation: 5*10=50, Resulting Numbers: [7, 39, 50]
Generated Node #0,0: 59:[7, 39, 50] Operation: 5*10=50
Exploring Operation: 7*10=70, Resulting Numbers: [5, 39, 70]
Generated Node #0,1: 59:[5, 39, 70] Operation: 7*10=70
Moving to Node #0,0
Current State: 59:[7, 39, 50], Operations: ['5*10=50']
Exploring Operation: 7+50=57, Resulting Numbers: [39, 57]
Generated Node #0,0,0: 59:[39, 57] Operation: 7+50=57
Exploring Operation: 7+39=46, Resulting Numbers: [50, 46]
Generated Node #0,0,1: 59:[50, 46] Operation: 7+39=46
Moving to Node #0,1
Current State: 59:[5, 39, 70], Operations: ['7*10=70']
Exploring Operation: 70-5=65, Resulting Numbers: [39, 65]
Generated Node #0,1,0: 59:[39, 65] Operation: 70-5=65
Exploring Operation: 5+39=44, Resulting Numbers: [70, 44]
Generated Node #0,1,1: 59:[70, 44] Operation: 5+39=44
Moving to Node #0,0,0
Current State: 59:[39, 57], Operations: ['5*10=50', '7+50=57']
Exploring Operation: 39+57=96, Resulting Numbers: [96]
96,59 unequal: No Solution
Exploring Operation: 57-39=18, Resulting Numbers: [18]
18,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[50, 46], Operations: ['5*10=50', '7+39=46']
Exploring Operation: 50-46=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Exploring Operation: 50+46=96, Resulting Numbers: [96]
96,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[70, 44], Operations: ['7*10=70', '5+39=44']
Exploring Operation: 70-44=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Exploring Operation: 70+44=114, Resulting Numbers: [114]
114,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[39, 65], Operations: ['7*10=70', '70-5=65']
Exploring Operation: 65-39=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Exploring Operation: 39+65=104, Resulting Numbers: [104]
104,59 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
8,
65,
56,
26
] | 87 | [
"65-8=57",
"56-26=30",
"57+30=87"
] | Current State: 87:[8, 65, 56, 26], Operations: []
Exploring Operation: 65-8=57, Resulting Numbers: [56, 26, 57]
Generated Node #2: [56, 26, 57] from Operation: 65-8=57
Current State: 87:[56, 26, 57], Operations: ['65-8=57']
Exploring Operation: 56-26=30, Resulting Numbers: [57, 30]
Generated Node #3: [57, 30] from Operation: 56-26=30
Current State: 87:[57, 30], Operations: ['65-8=57', '56-26=30']
Exploring Operation: 57+30=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[8, 65, 56, 26], Operations: []
Exploring Operation: 56-26=30, Resulting Numbers: [8, 65, 30]
Generated Node #0,0: 87:[8, 65, 30] Operation: 56-26=30
Exploring Operation: 65+26=91, Resulting Numbers: [8, 56, 91]
Generated Node #0,1: 87:[8, 56, 91] Operation: 65+26=91
Exploring Operation: 65-56=9, Resulting Numbers: [8, 26, 9]
Generated Node #0,2: 87:[8, 26, 9] Operation: 65-56=9
Exploring Operation: 56/8=7, Resulting Numbers: [65, 26, 7]
Generated Node #0,3: 87:[65, 26, 7] Operation: 56/8=7
Exploring Operation: 56+26=82, Resulting Numbers: [8, 65, 82]
Generated Node #0,4: 87:[8, 65, 82] Operation: 56+26=82
Moving to Node #0,2
Current State: 87:[8, 26, 9], Operations: ['65-56=9']
Exploring Operation: 9-8=1, Resulting Numbers: [26, 1]
Generated Node #0,2,0: 87:[26, 1] Operation: 9-8=1
Exploring Operation: 26-8=18, Resulting Numbers: [9, 18]
Generated Node #0,2,1: 87:[9, 18] Operation: 26-8=18
Exploring Operation: 8+26=34, Resulting Numbers: [9, 34]
Generated Node #0,2,2: 87:[9, 34] Operation: 8+26=34
Exploring Operation: 26+9=35, Resulting Numbers: [8, 35]
Generated Node #0,2,3: 87:[8, 35] Operation: 26+9=35
Exploring Operation: 8+9=17, Resulting Numbers: [26, 17]
Generated Node #0,2,4: 87:[26, 17] Operation: 8+9=17
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 87:[26, 1], Operations: ['65-56=9', '9-8=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,87 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,87 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 87:[9, 34], Operations: ['65-56=9', '8+26=34']
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,87 unequal: No Solution
Exploring Operation: 9*34=306, Resulting Numbers: [306]
306,87 unequal: No Solution
Exploring Operation: 9+34=43, Resulting Numbers: [43]
43,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 87:[8, 35], Operations: ['65-56=9', '26+9=35']
Exploring Operation: 8+35=43, Resulting Numbers: [43]
43,87 unequal: No Solution
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,87 unequal: No Solution
Exploring Operation: 8*35=280, Resulting Numbers: [280]
280,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 87:[26, 17], Operations: ['65-56=9', '8+9=17']
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,87 unequal: No Solution
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,87 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 87:[9, 18], Operations: ['65-56=9', '26-8=18']
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,87 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 9+18=27, Resulting Numbers: [27]
27,87 unequal: No Solution
Exploring Operation: 9*18=162, Resulting Numbers: [162]
162,87 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: 87:[8, 65, 30], Operations: ['56-26=30']
Exploring Operation: 65+30=95, Resulting Numbers: [8, 95]
Generated Node #0,0,0: 87:[8, 95] Operation: 65+30=95
Exploring Operation: 8+65=73, Resulting Numbers: [30, 73]
Generated Node #0,0,1: 87:[30, 73] Operation: 8+65=73
Exploring Operation: 30-8=22, Resulting Numbers: [65, 22]
Generated Node #0,0,2: 87:[65, 22] Operation: 30-8=22
Exploring Operation: 65-30=35, Resulting Numbers: [8, 35]
Generated Node #0,0,3: 87:[8, 35] Operation: 65-30=35
Exploring Operation: 65-8=57, Resulting Numbers: [30, 57]
Generated Node #0,0,4: 87:[30, 57] Operation: 65-8=57
Moving to Node #0,3
Current State: 87:[65, 26, 7], Operations: ['56/8=7']
Exploring Operation: 65-26=39, Resulting Numbers: [7, 39]
Generated Node #0,3,0: 87:[7, 39] Operation: 65-26=39
Exploring Operation: 65-7=58, Resulting Numbers: [26, 58]
Generated Node #0,3,1: 87:[26, 58] Operation: 65-7=58
Exploring Operation: 65+7=72, Resulting Numbers: [26, 72]
Generated Node #0,3,2: 87:[26, 72] Operation: 65+7=72
Exploring Operation: 65+26=91, Resulting Numbers: [7, 91]
Generated Node #0,3,3: 87:[7, 91] Operation: 65+26=91
Exploring Operation: 26+7=33, Resulting Numbers: [65, 33]
Generated Node #0,3,4: 87:[65, 33] Operation: 26+7=33
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 87:[7, 91], Operations: ['56/8=7', '65+26=91']
Exploring Operation: 7+91=98, Resulting Numbers: [98]
98,87 unequal: No Solution
Exploring Operation: 7*91=637, Resulting Numbers: [637]
637,87 unequal: No Solution
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,87 unequal: No Solution
Exploring Operation: 91-7=84, Resulting Numbers: [84]
84,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 87:[7, 39], Operations: ['56/8=7', '65-26=39']
Exploring Operation: 7*39=273, Resulting Numbers: [273]
273,87 unequal: No Solution
Exploring Operation: 7+39=46, Resulting Numbers: [46]
46,87 unequal: No Solution
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 87:[26, 72], Operations: ['56/8=7', '65+7=72']
Exploring Operation: 26+72=98, Resulting Numbers: [98]
98,87 unequal: No Solution
Exploring Operation: 72-26=46, Resulting Numbers: [46]
46,87 unequal: No Solution
Exploring Operation: 26*72=1872, Resulting Numbers: [1872]
1872,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 87:[65, 33], Operations: ['56/8=7', '26+7=33']
Exploring Operation: 65*33=2145, Resulting Numbers: [2145]
2145,87 unequal: No Solution
Exploring Operation: 65+33=98, Resulting Numbers: [98]
98,87 unequal: No Solution
Exploring Operation: 65-33=32, Resulting Numbers: [32]
32,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 87:[26, 58], Operations: ['56/8=7', '65-7=58']
Exploring Operation: 26*58=1508, Resulting Numbers: [1508]
1508,87 unequal: No Solution
Exploring Operation: 26+58=84, Resulting Numbers: [84]
84,87 unequal: No Solution
Exploring Operation: 58-26=32, Resulting Numbers: [32]
32,87 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: 87:[8, 65, 82], Operations: ['56+26=82']
Exploring Operation: 65-8=57, Resulting Numbers: [82, 57]
Generated Node #0,4,0: 87:[82, 57] Operation: 65-8=57
Exploring Operation: 82-8=74, Resulting Numbers: [65, 74]
Generated Node #0,4,1: 87:[65, 74] Operation: 82-8=74
Exploring Operation: 8+65=73, Resulting Numbers: [82, 73]
Generated Node #0,4,2: 87:[82, 73] Operation: 8+65=73
Exploring Operation: 8+82=90, Resulting Numbers: [65, 90]
Generated Node #0,4,3: 87:[65, 90] Operation: 8+82=90
Exploring Operation: 82-65=17, Resulting Numbers: [8, 17]
Generated Node #0,4,4: 87:[8, 17] Operation: 82-65=17
Moving to Node #0,1
Current State: 87:[8, 56, 91], Operations: ['65+26=91']
Exploring Operation: 56-8=48, Resulting Numbers: [91, 48]
Generated Node #0,1,0: 87:[91, 48] Operation: 56-8=48
Exploring Operation: 91-56=35, Resulting Numbers: [8, 35]
Generated Node #0,1,1: 87:[8, 35] Operation: 91-56=35
Exploring Operation: 8+56=64, Resulting Numbers: [91, 64]
Generated Node #0,1,2: 87:[91, 64] Operation: 8+56=64
Exploring Operation: 91-8=83, Resulting Numbers: [56, 83]
Generated Node #0,1,3: 87:[56, 83] Operation: 91-8=83
Exploring Operation: 56/8=7, Resulting Numbers: [91, 7]
Generated Node #0,1,4: 87:[91, 7] Operation: 56/8=7
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 87:[91, 7], Operations: ['65+26=91', '56/8=7']
Exploring Operation: 91-7=84, Resulting Numbers: [84]
84,87 unequal: No Solution
Exploring Operation: 91*7=637, Resulting Numbers: [637]
637,87 unequal: No Solution
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,87 unequal: No Solution
Exploring Operation: 91+7=98, Resulting Numbers: [98]
98,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 87:[8, 35], Operations: ['65+26=91', '91-56=35']
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,87 unequal: No Solution
Exploring Operation: 8+35=43, Resulting Numbers: [43]
43,87 unequal: No Solution
Exploring Operation: 8*35=280, Resulting Numbers: [280]
280,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[91, 48], Operations: ['65+26=91', '56-8=48']
Exploring Operation: 91*48=4368, Resulting Numbers: [4368]
4368,87 unequal: No Solution
Exploring Operation: 91+48=139, Resulting Numbers: [139]
139,87 unequal: No Solution
Exploring Operation: 91-48=43, Resulting Numbers: [43]
43,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 87:[91, 64], Operations: ['65+26=91', '8+56=64']
Exploring Operation: 91-64=27, Resulting Numbers: [27]
27,87 unequal: No Solution
Exploring Operation: 91+64=155, Resulting Numbers: [155]
155,87 unequal: No Solution
Exploring Operation: 91*64=5824, Resulting Numbers: [5824]
5824,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 87:[56, 83], Operations: ['65+26=91', '91-8=83']
Exploring Operation: 83-56=27, Resulting Numbers: [27]
27,87 unequal: No Solution
Exploring Operation: 56+83=139, Resulting Numbers: [139]
139,87 unequal: No Solution
Exploring Operation: 56*83=4648, Resulting Numbers: [4648]
4648,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 87:[8, 35], Operations: ['56-26=30', '65-30=35']
Exploring Operation: 8*35=280, Resulting Numbers: [280]
280,87 unequal: No Solution
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,87 unequal: No Solution
Exploring Operation: 8+35=43, Resulting Numbers: [43]
43,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[8, 95], Operations: ['56-26=30', '65+30=95']
Exploring Operation: 8*95=760, Resulting Numbers: [760]
760,87 unequal: No Solution
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[8, 65, 56, 26], Operations: []
Exploring Operation: 56-26=30, Resulting Numbers: [8, 65, 30]
Generated Node #0,0: 87:[8, 65, 30] Operation: 56-26=30
Moving to Node #0,0
Current State: 87:[8, 65, 30], Operations: ['56-26=30']
Exploring Operation: 65+30=95, Resulting Numbers: [8, 95]
Generated Node #0,0,0: 87:[8, 95] Operation: 65+30=95
Moving to Node #0,0,0
Current State: 87:[8, 95], Operations: ['56-26=30', '65+30=95']
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 0.923611 | hs_5 | sum_heuristic |
[
81,
11,
55,
51
] | 23 | [
"81+11=92",
"55-51=4",
"92/4=23"
] | Current State: 23:[81, 11, 55, 51], Operations: []
Exploring Operation: 81+11=92, Resulting Numbers: [55, 51, 92]
Generated Node #2: [55, 51, 92] from Operation: 81+11=92
Current State: 23:[55, 51, 92], Operations: ['81+11=92']
Exploring Operation: 55-51=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 55-51=4
Current State: 23:[92, 4], Operations: ['81+11=92', '55-51=4']
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[81, 11, 55, 51], Operations: []
Exploring Operation: 81-51=30, Resulting Numbers: [11, 55, 30]
Generated Node #0,0: 23:[11, 55, 30] Operation: 81-51=30
Exploring Operation: 81-55=26, Resulting Numbers: [11, 51, 26]
Generated Node #0,1: 23:[11, 51, 26] Operation: 81-55=26
Exploring Operation: 55-51=4, Resulting Numbers: [81, 11, 4]
Generated Node #0,2: 23:[81, 11, 4] Operation: 55-51=4
Moving to Node #0,1
Current State: 23:[11, 51, 26], Operations: ['81-55=26']
Exploring Operation: 51-26=25, Resulting Numbers: [11, 25]
Generated Node #0,1,0: 23:[11, 25] Operation: 51-26=25
Exploring Operation: 26-11=15, Resulting Numbers: [51, 15]
Generated Node #0,1,1: 23:[51, 15] Operation: 26-11=15
Exploring Operation: 51-11=40, Resulting Numbers: [26, 40]
Generated Node #0,1,2: 23:[26, 40] Operation: 51-11=40
Moving to Node #0,0
Current State: 23:[11, 55, 30], Operations: ['81-51=30']
Exploring Operation: 55/11=5, Resulting Numbers: [30, 5]
Generated Node #0,0,0: 23:[30, 5] Operation: 55/11=5
Exploring Operation: 55-11=44, Resulting Numbers: [30, 44]
Generated Node #0,0,1: 23:[30, 44] Operation: 55-11=44
Exploring Operation: 55-30=25, Resulting Numbers: [11, 25]
Generated Node #0,0,2: 23:[11, 25] Operation: 55-30=25
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 23:[11, 25], Operations: ['81-51=30', '55-30=25']
Exploring Operation: 11+25=36, Resulting Numbers: [36]
36,23 unequal: No Solution
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,23 unequal: No Solution
Exploring Operation: 11*25=275, Resulting Numbers: [275]
275,23 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 #0,0,0
Current State: 23:[30, 5], Operations: ['81-51=30', '55/11=5']
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,23 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,23 unequal: No Solution
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,23 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:[30, 44], Operations: ['81-51=30', '55-11=44']
Exploring Operation: 30+44=74, Resulting Numbers: [74]
74,23 unequal: No Solution
Exploring Operation: 30*44=1320, Resulting Numbers: [1320]
1320,23 unequal: No Solution
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 23:[81, 11, 4], Operations: ['55-51=4']
Exploring Operation: 81-4=77, Resulting Numbers: [11, 77]
Generated Node #0,2,0: 23:[11, 77] Operation: 81-4=77
Exploring Operation: 11+4=15, Resulting Numbers: [81, 15]
Generated Node #0,2,1: 23:[81, 15] Operation: 11+4=15
Exploring Operation: 81-11=70, Resulting Numbers: [4, 70]
Generated Node #0,2,2: 23:[4, 70] Operation: 81-11=70
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 23:[11, 77], Operations: ['55-51=4', '81-4=77']
Exploring Operation: 11+77=88, Resulting Numbers: [88]
88,23 unequal: No Solution
Exploring Operation: 77/11=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,23 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 #0,2,1
Current State: 23:[81, 15], Operations: ['55-51=4', '11+4=15']
Exploring Operation: 81*15=1215, Resulting Numbers: [1215]
1215,23 unequal: No Solution
Exploring Operation: 81-15=66, Resulting Numbers: [66]
66,23 unequal: No Solution
Exploring Operation: 81+15=96, Resulting Numbers: [96]
96,23 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 #0,2,2
Current State: 23:[4, 70], Operations: ['55-51=4', '81-11=70']
Exploring Operation: 4*70=280, Resulting Numbers: [280]
280,23 unequal: No Solution
Exploring Operation: 4+70=74, Resulting Numbers: [74]
74,23 unequal: No Solution
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,23 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: 23:[11, 25], Operations: ['81-55=26', '51-26=25']
Exploring Operation: 11*25=275, Resulting Numbers: [275]
275,23 unequal: No Solution
Exploring Operation: 11+25=36, Resulting Numbers: [36]
36,23 unequal: No Solution
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,23 unequal: No Solution
Moving to Node #0,1,2
Current State: 23:[26, 40], Operations: ['81-55=26', '51-11=40']
Exploring Operation: 26+40=66, Resulting Numbers: [66]
66,23 unequal: No Solution
Exploring Operation: 40-26=14, Resulting Numbers: [14]
14,23 unequal: No Solution
Exploring Operation: 26*40=1040, Resulting Numbers: [1040]
1040,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[51, 15], Operations: ['81-55=26', '26-11=15']
Exploring Operation: 51+15=66, Resulting Numbers: [66]
66,23 unequal: No Solution
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,23 unequal: No Solution
Exploring Operation: 51*15=765, Resulting Numbers: [765]
765,23 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
2,
32,
57,
69
] | 76 | [
"2*32=64",
"69-57=12",
"64+12=76"
] | Current State: 76:[2, 32, 57, 69], Operations: []
Exploring Operation: 2*32=64, Resulting Numbers: [57, 69, 64]
Generated Node #2: [57, 69, 64] from Operation: 2*32=64
Current State: 76:[57, 69, 64], Operations: ['2*32=64']
Exploring Operation: 69-57=12, Resulting Numbers: [64, 12]
Generated Node #3: [64, 12] from Operation: 69-57=12
Current State: 76:[64, 12], Operations: ['2*32=64', '69-57=12']
Exploring Operation: 64+12=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[2, 32, 57, 69], Operations: []
Exploring Operation: 57-32=25, Resulting Numbers: [2, 69, 25]
Generated Node #0,0: 76:[2, 69, 25] Operation: 57-32=25
Moving to Node #0,0
Current State: 76:[2, 69, 25], Operations: ['57-32=25']
Exploring Operation: 69-25=44, Resulting Numbers: [2, 44]
Generated Node #0,0,0: 76:[2, 44] Operation: 69-25=44
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[2, 44], Operations: ['57-32=25', '69-25=44']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
22,
30,
25,
90
] | 100 | [
"25-22=3",
"30/3=10",
"90+10=100"
] | Current State: 100:[22, 30, 25, 90], Operations: []
Exploring Operation: 25-22=3, Resulting Numbers: [30, 90, 3]
Generated Node #2: [30, 90, 3] from Operation: 25-22=3
Current State: 100:[30, 90, 3], Operations: ['25-22=3']
Exploring Operation: 30/3=10, Resulting Numbers: [90, 10]
Generated Node #3: [90, 10] from Operation: 30/3=10
Current State: 100:[90, 10], Operations: ['25-22=3', '30/3=10']
Exploring Operation: 90+10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[22, 30, 25, 90], Operations: []
Exploring Operation: 22+30=52, Resulting Numbers: [25, 90, 52]
Generated Node #0,0: 100:[25, 90, 52] Operation: 22+30=52
Exploring Operation: 90/30=3, Resulting Numbers: [22, 25, 3]
Generated Node #0,1: 100:[22, 25, 3] Operation: 90/30=3
Exploring Operation: 30-25=5, Resulting Numbers: [22, 90, 5]
Generated Node #0,2: 100:[22, 90, 5] Operation: 30-25=5
Exploring Operation: 30-22=8, Resulting Numbers: [25, 90, 8]
Generated Node #0,3: 100:[25, 90, 8] Operation: 30-22=8
Exploring Operation: 90-30=60, Resulting Numbers: [22, 25, 60]
Generated Node #0,4: 100:[22, 25, 60] Operation: 90-30=60
Moving to Node #0,1
Current State: 100:[22, 25, 3], Operations: ['90/30=3']
Exploring Operation: 22+3=25, Resulting Numbers: [25, 25]
Generated Node #0,1,0: 100:[25, 25] Operation: 22+3=25
Exploring Operation: 25-3=22, Resulting Numbers: [22, 22]
Generated Node #0,1,1: 100:[22, 22] Operation: 25-3=22
Exploring Operation: 22+25=47, Resulting Numbers: [3, 47]
Generated Node #0,1,2: 100:[3, 47] Operation: 22+25=47
Exploring Operation: 25-22=3, Resulting Numbers: [3, 3]
Generated Node #0,1,3: 100:[3, 3] Operation: 25-22=3
Exploring Operation: 22-3=19, Resulting Numbers: [25, 19]
Generated Node #0,1,4: 100:[25, 19] Operation: 22-3=19
Moving to Node #0,2
Current State: 100:[22, 90, 5], Operations: ['30-25=5']
Exploring Operation: 90+5=95, Resulting Numbers: [22, 95]
Generated Node #0,2,0: 100:[22, 95] Operation: 90+5=95
Exploring Operation: 22+90=112, Resulting Numbers: [5, 112]
Generated Node #0,2,1: 100:[5, 112] Operation: 22+90=112
Exploring Operation: 90/5=18, Resulting Numbers: [22, 18]
Generated Node #0,2,2: 100:[22, 18] Operation: 90/5=18
Exploring Operation: 22-5=17, Resulting Numbers: [90, 17]
Generated Node #0,2,3: 100:[90, 17] Operation: 22-5=17
Exploring Operation: 22+5=27, Resulting Numbers: [90, 27]
Generated Node #0,2,4: 100:[90, 27] Operation: 22+5=27
Moving to Node #0,4
Current State: 100:[22, 25, 60], Operations: ['90-30=60']
Exploring Operation: 60-22=38, Resulting Numbers: [25, 38]
Generated Node #0,4,0: 100:[25, 38] Operation: 60-22=38
Exploring Operation: 25-22=3, Resulting Numbers: [60, 3]
Generated Node #0,4,1: 100:[60, 3] Operation: 25-22=3
Exploring Operation: 60-25=35, Resulting Numbers: [22, 35]
Generated Node #0,4,2: 100:[22, 35] Operation: 60-25=35
Exploring Operation: 25+60=85, Resulting Numbers: [22, 85]
Generated Node #0,4,3: 100:[22, 85] Operation: 25+60=85
Exploring Operation: 22+25=47, Resulting Numbers: [60, 47]
Generated Node #0,4,4: 100:[60, 47] Operation: 22+25=47
Moving to Node #0,0
Current State: 100:[25, 90, 52], Operations: ['22+30=52']
Exploring Operation: 90-52=38, Resulting Numbers: [25, 38]
Generated Node #0,0,0: 100:[25, 38] Operation: 90-52=38
Exploring Operation: 90-25=65, Resulting Numbers: [52, 65]
Generated Node #0,0,1: 100:[52, 65] Operation: 90-25=65
Exploring Operation: 25+52=77, Resulting Numbers: [90, 77]
Generated Node #0,0,2: 100:[90, 77] Operation: 25+52=77
Exploring Operation: 25+90=115, Resulting Numbers: [52, 115]
Generated Node #0,0,3: 100:[52, 115] Operation: 25+90=115
Exploring Operation: 52-25=27, Resulting Numbers: [90, 27]
Generated Node #0,0,4: 100:[90, 27] Operation: 52-25=27
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 100:[25, 38], Operations: ['22+30=52', '90-52=38']
Exploring Operation: 25+38=63, Resulting Numbers: [63]
63,100 unequal: No Solution
Exploring Operation: 25*38=950, Resulting Numbers: [950]
950,100 unequal: No Solution
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 100:[90, 27], Operations: ['22+30=52', '52-25=27']
Exploring Operation: 90*27=2430, Resulting Numbers: [2430]
2430,100 unequal: No Solution
Exploring Operation: 90+27=117, Resulting Numbers: [117]
117,100 unequal: No Solution
Exploring Operation: 90-27=63, Resulting Numbers: [63]
63,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 100:[52, 65], Operations: ['22+30=52', '90-25=65']
Exploring Operation: 65-52=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 52+65=117, Resulting Numbers: [117]
117,100 unequal: No Solution
Exploring Operation: 52*65=3380, Resulting Numbers: [3380]
3380,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 100:[52, 115], Operations: ['22+30=52', '25+90=115']
Exploring Operation: 52+115=167, Resulting Numbers: [167]
167,100 unequal: No Solution
Exploring Operation: 52*115=5980, Resulting Numbers: [5980]
5980,100 unequal: No Solution
Exploring Operation: 115-52=63, Resulting Numbers: [63]
63,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 100:[90, 77], Operations: ['22+30=52', '25+52=77']
Exploring Operation: 90-77=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 90+77=167, Resulting Numbers: [167]
167,100 unequal: No Solution
Exploring Operation: 90*77=6930, Resulting Numbers: [6930]
6930,100 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:[25, 90, 8], Operations: ['30-22=8']
Exploring Operation: 90+8=98, Resulting Numbers: [25, 98]
Generated Node #0,3,0: 100:[25, 98] Operation: 90+8=98
Exploring Operation: 25+8=33, Resulting Numbers: [90, 33]
Generated Node #0,3,1: 100:[90, 33] Operation: 25+8=33
Exploring Operation: 25+90=115, Resulting Numbers: [8, 115]
Generated Node #0,3,2: 100:[8, 115] Operation: 25+90=115
Exploring Operation: 90-25=65, Resulting Numbers: [8, 65]
Generated Node #0,3,3: 100:[8, 65] Operation: 90-25=65
Exploring Operation: 25-8=17, Resulting Numbers: [90, 17]
Generated Node #0,3,4: 100:[90, 17] Operation: 25-8=17
Moving to Node #0,1,0
Current State: 100:[25, 25], Operations: ['90/30=3', '22+3=25']
Exploring Operation: 25+25=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Exploring Operation: 25/25=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Exploring Operation: 25*25=625, Resulting Numbers: [625]
625,100 unequal: No Solution
Exploring Operation: 25-25=0, Resulting Numbers: [0]
0,100 unequal: No Solution
Moving to Node #0,1,4
Current State: 100:[25, 19], Operations: ['90/30=3', '22-3=19']
Exploring Operation: 25+19=44, Resulting Numbers: [44]
44,100 unequal: No Solution
Exploring Operation: 25-19=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 25*19=475, Resulting Numbers: [475]
475,100 unequal: No Solution
Moving to Node #0,1,3
Current State: 100:[3, 3], Operations: ['90/30=3', '25-22=3']
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,100 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Moving to Node #0,3,0
Current State: 100:[25, 98], Operations: ['30-22=8', '90+8=98']
Exploring Operation: 98-25=73, Resulting Numbers: [73]
73,100 unequal: No Solution
Exploring Operation: 25+98=123, Resulting Numbers: [123]
123,100 unequal: No Solution
Exploring Operation: 25*98=2450, Resulting Numbers: [2450]
2450,100 unequal: No Solution
Moving to Node #0,2,2
Current State: 100:[22, 18], Operations: ['30-25=5', '90/5=18']
Exploring Operation: 22+18=40, Resulting Numbers: [40]
40,100 unequal: No Solution
Exploring Operation: 22*18=396, Resulting Numbers: [396]
396,100 unequal: No Solution
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Moving to Node #0,1,2
Current State: 100:[3, 47], Operations: ['90/30=3', '22+25=47']
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,100 unequal: No Solution
Exploring Operation: 3*47=141, Resulting Numbers: [141]
141,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[22, 22], Operations: ['90/30=3', '25-3=22']
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,100 unequal: No Solution
Exploring Operation: 22*22=484, Resulting Numbers: [484]
484,100 unequal: No Solution
Exploring Operation: 22/22=1, Resulting Numbers: [1]
1,100 unequal: No Solution
Exploring Operation: 22-22=0, Resulting Numbers: [0]
0,100 unequal: No Solution
Moving to Node #0,2,0
Current State: 100:[22, 95], Operations: ['30-25=5', '90+5=95']
Exploring Operation: 95-22=73, Resulting Numbers: [73]
73,100 unequal: No Solution
Exploring Operation: 22+95=117, Resulting Numbers: [117]
117,100 unequal: No Solution
Exploring Operation: 22*95=2090, Resulting Numbers: [2090]
2090,100 unequal: No Solution
Moving to Node #0,4,1
Current State: 100:[60, 3], Operations: ['90-30=60', '25-22=3']
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,100 unequal: No Solution
Exploring Operation: 60*3=180, Resulting Numbers: [180]
180,100 unequal: No Solution
Exploring Operation: 60+3=63, Resulting Numbers: [63]
63,100 unequal: No Solution
Moving to Node #0,4,2
Current State: 100:[22, 35], Operations: ['90-30=60', '60-25=35']
Exploring Operation: 22*35=770, Resulting Numbers: [770]
770,100 unequal: No Solution
Exploring Operation: 22+35=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 35-22=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Moving to Node #0,4,0
Current State: 100:[25, 38], Operations: ['90-30=60', '60-22=38']
Exploring Operation: 25*38=950, Resulting Numbers: [950]
950,100 unequal: No Solution
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 25+38=63, Resulting Numbers: [63]
63,100 unequal: No Solution
Moving to Node #0,2,4
Current State: 100:[90, 27], Operations: ['30-25=5', '22+5=27']
Exploring Operation: 90*27=2430, Resulting Numbers: [2430]
2430,100 unequal: No Solution
Exploring Operation: 90+27=117, Resulting Numbers: [117]
117,100 unequal: No Solution
Exploring Operation: 90-27=63, Resulting Numbers: [63]
63,100 unequal: No Solution
Moving to Node #0,2,1
Current State: 100:[5, 112], Operations: ['30-25=5', '22+90=112']
Exploring Operation: 5+112=117, Resulting Numbers: [117]
117,100 unequal: No Solution
Exploring Operation: 5*112=560, Resulting Numbers: [560]
560,100 unequal: No Solution
Exploring Operation: 112-5=107, Resulting Numbers: [107]
107,100 unequal: No Solution
Moving to Node #0,4,4
Current State: 100:[60, 47], Operations: ['90-30=60', '22+25=47']
Exploring Operation: 60-47=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 60*47=2820, Resulting Numbers: [2820]
2820,100 unequal: No Solution
Exploring Operation: 60+47=107, Resulting Numbers: [107]
107,100 unequal: No Solution
Moving to Node #0,3,4
Current State: 100:[90, 17], Operations: ['30-22=8', '25-8=17']
Exploring Operation: 90+17=107, Resulting Numbers: [107]
107,100 unequal: No Solution
Exploring Operation: 90*17=1530, Resulting Numbers: [1530]
1530,100 unequal: No Solution
Exploring Operation: 90-17=73, Resulting Numbers: [73]
73,100 unequal: No Solution
Moving to Node #0,2,3
Current State: 100:[90, 17], Operations: ['30-25=5', '22-5=17']
Exploring Operation: 90-17=73, Resulting Numbers: [73]
73,100 unequal: No Solution
Exploring Operation: 90*17=1530, Resulting Numbers: [1530]
1530,100 unequal: No Solution
Exploring Operation: 90+17=107, Resulting Numbers: [107]
107,100 unequal: No Solution
Moving to Node #0,4,3
Current State: 100:[22, 85], Operations: ['90-30=60', '25+60=85']
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,100 unequal: No Solution
Exploring Operation: 22*85=1870, Resulting Numbers: [1870]
1870,100 unequal: No Solution
Exploring Operation: 22+85=107, Resulting Numbers: [107]
107,100 unequal: No Solution
Moving to Node #0,3,3
Current State: 100:[8, 65], Operations: ['30-22=8', '90-25=65']
Exploring Operation: 8*65=520, Resulting Numbers: [520]
520,100 unequal: No Solution
Exploring Operation: 8+65=73, Resulting Numbers: [73]
73,100 unequal: No Solution
Exploring Operation: 65-8=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Moving to Node #0,3,2
Current State: 100:[8, 115], Operations: ['30-22=8', '25+90=115']
Exploring Operation: 8*115=920, Resulting Numbers: [920]
920,100 unequal: No Solution
Exploring Operation: 115-8=107, Resulting Numbers: [107]
107,100 unequal: No Solution
Exploring Operation: 8+115=123, Resulting Numbers: [123]
123,100 unequal: No Solution
Moving to Node #0,3,1
Current State: 100:[90, 33], Operations: ['30-22=8', '25+8=33']
Exploring Operation: 90+33=123, Resulting Numbers: [123]
123,100 unequal: No Solution
Exploring Operation: 90-33=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 90*33=2970, Resulting Numbers: [2970]
2970,100 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
16,
4,
4,
82
] | 66 | [
"16+4=20",
"4+82=86",
"86-20=66"
] | Current State: 66:[16, 4, 4, 82], Operations: []
Exploring Operation: 16+4=20, Resulting Numbers: [82, 20]
Generated Node #2: [82, 20] from Operation: 16+4=20
Current State: 66:[82, 20], Operations: ['16+4=20']
Exploring Operation: 4+82=86, Resulting Numbers: [20, 86]
Generated Node #3: [20, 86] from Operation: 4+82=86
Current State: 66:[20, 86], Operations: ['16+4=20', '4+82=86']
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[16, 4, 4, 82], Operations: []
Exploring Operation: 16/4=4, Resulting Numbers: [4, 82, 4]
Generated Node #0,0: 66:[4, 82, 4] Operation: 16/4=4
Exploring Operation: 82-16=66, Resulting Numbers: [4, 4, 66]
Generated Node #0,1: 66:[4, 4, 66] Operation: 82-16=66
Exploring Operation: 16-4=12, Resulting Numbers: [4, 82, 12]
Generated Node #0,2: 66:[4, 82, 12] Operation: 16-4=12
Moving to Node #0,1
Current State: 66:[4, 4, 66], Operations: ['82-16=66']
Exploring Operation: 4/4=1, Resulting Numbers: [66, 1]
Generated Node #0,1,0: 66:[66, 1] Operation: 4/4=1
Exploring Operation: 4-4=0, Resulting Numbers: [66, 0]
Generated Node #0,1,1: 66:[66, 0] Operation: 4-4=0
Exploring Operation: 4+4=8, Resulting Numbers: [66, 8]
Generated Node #0,1,2: 66:[66, 8] Operation: 4+4=8
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 66:[66, 1], Operations: ['82-16=66', '4/4=1']
Exploring Operation: 66/1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[16, 4, 4, 82], Operations: []
Exploring Operation: 82-16=66, Resulting Numbers: [4, 4, 66]
Generated Node #0,1: 66:[4, 4, 66] Operation: 82-16=66
Moving to Node #0,1
Current State: 66:[4, 4, 66], Operations: ['82-16=66']
Exploring Operation: 4/4=1, Resulting Numbers: [66, 1]
Generated Node #0,1,0: 66:[66, 1] Operation: 4/4=1
Moving to Node #0,1,0
Current State: 66:[66, 1], Operations: ['82-16=66', '4/4=1']
Exploring Operation: 66/1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
55,
30,
64,
91
] | 70 | [
"55+30=85",
"64+91=155",
"155-85=70"
] | Current State: 70:[55, 30, 64, 91], Operations: []
Exploring Operation: 55+30=85, Resulting Numbers: [64, 91, 85]
Generated Node #2: [64, 91, 85] from Operation: 55+30=85
Current State: 70:[64, 91, 85], Operations: ['55+30=85']
Exploring Operation: 64+91=155, Resulting Numbers: [85, 155]
Generated Node #3: [85, 155] from Operation: 64+91=155
Current State: 70:[85, 155], Operations: ['55+30=85', '64+91=155']
Exploring Operation: 155-85=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[55, 30, 64, 91], Operations: []
Exploring Operation: 91-55=36, Resulting Numbers: [30, 64, 36]
Generated Node #0,0: 70:[30, 64, 36] Operation: 91-55=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[30, 64, 36], Operations: ['91-55=36']
Exploring Operation: 64-30=34, Resulting Numbers: [36, 34]
Generated Node #0,0,0: 70:[36, 34] Operation: 64-30=34
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 70:[36, 34], Operations: ['91-55=36', '64-30=34']
Exploring Operation: 36+34=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[55, 30, 64, 91], Operations: []
Exploring Operation: 91-55=36, Resulting Numbers: [30, 64, 36]
Generated Node #0,0: 70:[30, 64, 36] Operation: 91-55=36
Moving to Node #0,0
Current State: 70:[30, 64, 36], Operations: ['91-55=36']
Exploring Operation: 64-30=34, Resulting Numbers: [36, 34]
Generated Node #0,0,0: 70:[36, 34] Operation: 64-30=34
Moving to Node #0,0,0
Current State: 70:[36, 34], Operations: ['91-55=36', '64-30=34']
Exploring Operation: 36+34=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
84,
25,
35,
84
] | 35 | [
"84-84=0",
"25*0=0",
"35+0=35"
] | Current State: 35:[84, 25, 35, 84], Operations: []
Exploring Operation: 84-84=0, Resulting Numbers: [25, 35, 0]
Generated Node #2: [25, 35, 0] from Operation: 84-84=0
Current State: 35:[25, 35, 0], Operations: ['84-84=0']
Exploring Operation: 25*0=0, Resulting Numbers: [35, 0]
Generated Node #3: [35, 0] from Operation: 25*0=0
Current State: 35:[35, 0], Operations: ['84-84=0', '25*0=0']
Exploring Operation: 35+0=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[84, 25, 35, 84], Operations: []
Exploring Operation: 84-84=0, Resulting Numbers: [25, 35, 0]
Generated Node #0,0: 35:[25, 35, 0] Operation: 84-84=0
Exploring Operation: 84-25=59, Resulting Numbers: [35, 84, 59]
Generated Node #0,1: 35:[35, 84, 59] Operation: 84-25=59
Exploring Operation: 84/84=1, Resulting Numbers: [25, 35, 1]
Generated Node #0,2: 35:[25, 35, 1] Operation: 84/84=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 35:[25, 35, 1], Operations: ['84/84=1']
Exploring Operation: 25*1=25, Resulting Numbers: [35, 25]
Generated Node #0,2,0: 35:[35, 25] Operation: 25*1=25
Exploring Operation: 25+1=26, Resulting Numbers: [35, 26]
Generated Node #0,2,1: 35:[35, 26] Operation: 25+1=26
Exploring Operation: 35-25=10, Resulting Numbers: [1, 10]
Generated Node #0,2,2: 35:[1, 10] Operation: 35-25=10
Moving to Node #0,2,2
Current State: 35:[1, 10], Operations: ['84/84=1', '35-25=10']
Exploring Operation: 10/1=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 1*10=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,35 unequal: No Solution
Moving to Node #0,2,1
Current State: 35:[35, 26], Operations: ['84/84=1', '25+1=26']
Exploring Operation: 35-26=9, Resulting Numbers: [9]
9,35 unequal: No Solution
Exploring Operation: 35*26=910, Resulting Numbers: [910]
910,35 unequal: No Solution
Exploring Operation: 35+26=61, Resulting Numbers: [61]
61,35 unequal: No Solution
Moving to Node #0,2,0
Current State: 35:[35, 25], Operations: ['84/84=1', '25*1=25']
Exploring Operation: 35*25=875, Resulting Numbers: [875]
875,35 unequal: No Solution
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 35+25=60, Resulting Numbers: [60]
60,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[25, 35, 0], Operations: ['84-84=0']
Exploring Operation: 25+0=25, Resulting Numbers: [35, 25]
Generated Node #0,0,0: 35:[35, 25] Operation: 25+0=25
Exploring Operation: 35-25=10, Resulting Numbers: [0, 10]
Generated Node #0,0,1: 35:[0, 10] Operation: 35-25=10
Exploring Operation: 25*0=0, Resulting Numbers: [35, 0]
Generated Node #0,0,2: 35:[35, 0] Operation: 25*0=0
Moving to Node #0,0,2
Current State: 35:[35, 0], Operations: ['84-84=0', '25*0=0']
Exploring Operation: 35+0=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[84, 25, 35, 84], Operations: []
Exploring Operation: 84-84=0, Resulting Numbers: [25, 35, 0]
Generated Node #0,0: 35:[25, 35, 0] Operation: 84-84=0
Moving to Node #0,0
Current State: 35:[25, 35, 0], Operations: ['84-84=0']
Exploring Operation: 25*0=0, Resulting Numbers: [35, 0]
Generated Node #0,0,2: 35:[35, 0] Operation: 25*0=0
Moving to Node #0,0,2
Current State: 35:[35, 0], Operations: ['84-84=0', '25*0=0']
Exploring Operation: 35+0=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
96,
29,
1,
98
] | 26 | [
"96+29=125",
"1+98=99",
"125-99=26"
] | Current State: 26:[96, 29, 1, 98], Operations: []
Exploring Operation: 96+29=125, Resulting Numbers: [1, 98, 125]
Generated Node #2: [1, 98, 125] from Operation: 96+29=125
Current State: 26:[1, 98, 125], Operations: ['96+29=125']
Exploring Operation: 1+98=99, Resulting Numbers: [125, 99]
Generated Node #3: [125, 99] from Operation: 1+98=99
Current State: 26:[125, 99], Operations: ['96+29=125', '1+98=99']
Exploring Operation: 125-99=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[96, 29, 1, 98], Operations: []
Exploring Operation: 29-1=28, Resulting Numbers: [96, 98, 28]
Generated Node #0,0: 26:[96, 98, 28] Operation: 29-1=28
Exploring Operation: 98-96=2, Resulting Numbers: [29, 1, 2]
Generated Node #0,1: 26:[29, 1, 2] Operation: 98-96=2
Exploring Operation: 96-29=67, Resulting Numbers: [1, 98, 67]
Generated Node #0,2: 26:[1, 98, 67] Operation: 96-29=67
Exploring Operation: 98-29=69, Resulting Numbers: [96, 1, 69]
Generated Node #0,3: 26:[96, 1, 69] Operation: 98-29=69
Exploring Operation: 96-1=95, Resulting Numbers: [29, 98, 95]
Generated Node #0,4: 26:[29, 98, 95] Operation: 96-1=95
Moving to Node #0,1
Current State: 26:[29, 1, 2], Operations: ['98-96=2']
Exploring Operation: 1*2=2, Resulting Numbers: [29, 2]
Generated Node #0,1,0: 26:[29, 2] Operation: 1*2=2
Exploring Operation: 29*1=29, Resulting Numbers: [2, 29]
Generated Node #0,1,1: 26:[2, 29] Operation: 29*1=29
Exploring Operation: 29-1=28, Resulting Numbers: [2, 28]
Generated Node #0,1,2: 26:[2, 28] Operation: 29-1=28
Exploring Operation: 29-2=27, Resulting Numbers: [1, 27]
Generated Node #0,1,3: 26:[1, 27] Operation: 29-2=27
Exploring Operation: 29/1=29, Resulting Numbers: [2, 29]
Generated Node #0,1,4: 26:[2, 29] Operation: 29/1=29
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 26:[2, 28], Operations: ['98-96=2', '29-1=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[96, 29, 1, 98], Operations: []
Exploring Operation: 98-96=2, Resulting Numbers: [29, 1, 2]
Generated Node #0,1: 26:[29, 1, 2] Operation: 98-96=2
Moving to Node #0,1
Current State: 26:[29, 1, 2], Operations: ['98-96=2']
Exploring Operation: 29-1=28, Resulting Numbers: [2, 28]
Generated Node #0,1,2: 26:[2, 28] Operation: 29-1=28
Moving to Node #0,1,2
Current State: 26:[2, 28], Operations: ['98-96=2', '29-1=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
50,
17,
89,
42
] | 91 | [
"42-17=25",
"50/25=2",
"89+2=91"
] | Current State: 91:[50, 17, 89, 42], Operations: []
Exploring Operation: 42-17=25, Resulting Numbers: [50, 89, 25]
Generated Node #2: [50, 89, 25] from Operation: 42-17=25
Current State: 91:[50, 89, 25], Operations: ['42-17=25']
Exploring Operation: 50/25=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 50/25=2
Current State: 91:[89, 2], Operations: ['42-17=25', '50/25=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[50, 17, 89, 42], Operations: []
Exploring Operation: 50+42=92, Resulting Numbers: [17, 89, 92]
Generated Node #0,0: 91:[17, 89, 92] Operation: 50+42=92
Exploring Operation: 50-42=8, Resulting Numbers: [17, 89, 8]
Generated Node #0,1: 91:[17, 89, 8] Operation: 50-42=8
Exploring Operation: 42-17=25, Resulting Numbers: [50, 89, 25]
Generated Node #0,2: 91:[50, 89, 25] Operation: 42-17=25
Exploring Operation: 50-17=33, Resulting Numbers: [89, 42, 33]
Generated Node #0,3: 91:[89, 42, 33] Operation: 50-17=33
Moving to Node #0,0
Current State: 91:[17, 89, 92], Operations: ['50+42=92']
Exploring Operation: 92-89=3, Resulting Numbers: [17, 3]
Generated Node #0,0,0: 91:[17, 3] Operation: 92-89=3
Exploring Operation: 89-17=72, Resulting Numbers: [92, 72]
Generated Node #0,0,1: 91:[92, 72] Operation: 89-17=72
Exploring Operation: 92-17=75, Resulting Numbers: [89, 75]
Generated Node #0,0,2: 91:[89, 75] Operation: 92-17=75
Exploring Operation: 17+89=106, Resulting Numbers: [92, 106]
Generated Node #0,0,3: 91:[92, 106] Operation: 17+89=106
Moving to Node #0,1
Current State: 91:[17, 89, 8], Operations: ['50-42=8']
Exploring Operation: 17+8=25, Resulting Numbers: [89, 25]
Generated Node #0,1,0: 91:[89, 25] Operation: 17+8=25
Exploring Operation: 89-8=81, Resulting Numbers: [17, 81]
Generated Node #0,1,1: 91:[17, 81] Operation: 89-8=81
Exploring Operation: 17-8=9, Resulting Numbers: [89, 9]
Generated Node #0,1,2: 91:[89, 9] Operation: 17-8=9
Exploring Operation: 89+8=97, Resulting Numbers: [17, 97]
Generated Node #0,1,3: 91:[17, 97] Operation: 89+8=97
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 91:[89, 9], Operations: ['50-42=8', '17-8=9']
Exploring Operation: 89*9=801, Resulting Numbers: [801]
801,91 unequal: No Solution
Exploring Operation: 89-9=80, Resulting Numbers: [80]
80,91 unequal: No Solution
Exploring Operation: 89+9=98, Resulting Numbers: [98]
98,91 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 #0,1,3
Current State: 91:[17, 97], Operations: ['50-42=8', '89+8=97']
Exploring Operation: 17*97=1649, Resulting Numbers: [1649]
1649,91 unequal: No Solution
Exploring Operation: 97-17=80, Resulting Numbers: [80]
80,91 unequal: No Solution
Exploring Operation: 17+97=114, Resulting Numbers: [114]
114,91 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 #0,1,0
Current State: 91:[89, 25], Operations: ['50-42=8', '17+8=25']
Exploring Operation: 89*25=2225, Resulting Numbers: [2225]
2225,91 unequal: No Solution
Exploring Operation: 89+25=114, Resulting Numbers: [114]
114,91 unequal: No Solution
Exploring Operation: 89-25=64, Resulting Numbers: [64]
64,91 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 #0,1,1
Current State: 91:[17, 81], Operations: ['50-42=8', '89-8=81']
Exploring Operation: 17*81=1377, Resulting Numbers: [1377]
1377,91 unequal: No Solution
Exploring Operation: 17+81=98, Resulting Numbers: [98]
98,91 unequal: No Solution
Exploring Operation: 81-17=64, Resulting Numbers: [64]
64,91 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: 91:[89, 42, 33], Operations: ['50-17=33']
Exploring Operation: 89-42=47, Resulting Numbers: [33, 47]
Generated Node #0,3,0: 91:[33, 47] Operation: 89-42=47
Exploring Operation: 42-33=9, Resulting Numbers: [89, 9]
Generated Node #0,3,1: 91:[89, 9] Operation: 42-33=9
Exploring Operation: 89+42=131, Resulting Numbers: [33, 131]
Generated Node #0,3,2: 91:[33, 131] Operation: 89+42=131
Exploring Operation: 42+33=75, Resulting Numbers: [89, 75]
Generated Node #0,3,3: 91:[89, 75] Operation: 42+33=75
Moving to Node #0,2
Current State: 91:[50, 89, 25], Operations: ['42-17=25']
Exploring Operation: 50+25=75, Resulting Numbers: [89, 75]
Generated Node #0,2,0: 91:[89, 75] Operation: 50+25=75
Exploring Operation: 50-25=25, Resulting Numbers: [89, 25]
Generated Node #0,2,1: 91:[89, 25] Operation: 50-25=25
Exploring Operation: 50/25=2, Resulting Numbers: [89, 2]
Generated Node #0,2,2: 91:[89, 2] Operation: 50/25=2
Exploring Operation: 89-50=39, Resulting Numbers: [25, 39]
Generated Node #0,2,3: 91:[25, 39] Operation: 89-50=39
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 91:[89, 2], Operations: ['42-17=25', '50/25=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[50, 17, 89, 42], Operations: []
Exploring Operation: 42-17=25, Resulting Numbers: [50, 89, 25]
Generated Node #0,2: 91:[50, 89, 25] Operation: 42-17=25
Moving to Node #0,2
Current State: 91:[50, 89, 25], Operations: ['42-17=25']
Exploring Operation: 50/25=2, Resulting Numbers: [89, 2]
Generated Node #0,2,2: 91:[89, 2] Operation: 50/25=2
Moving to Node #0,2,2
Current State: 91:[89, 2], Operations: ['42-17=25', '50/25=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 | hs_4 | sum_heuristic |
[
51,
3,
63,
75
] | 47 | [
"75-63=12",
"12/3=4",
"51-4=47"
] | Current State: 47:[51, 3, 63, 75], Operations: []
Exploring Operation: 75-63=12, Resulting Numbers: [51, 3, 12]
Generated Node #2: [51, 3, 12] from Operation: 75-63=12
Current State: 47:[51, 3, 12], Operations: ['75-63=12']
Exploring Operation: 12/3=4, Resulting Numbers: [51, 4]
Generated Node #3: [51, 4] from Operation: 12/3=4
Current State: 47:[51, 4], Operations: ['75-63=12', '12/3=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[51, 3, 63, 75], Operations: []
Exploring Operation: 51-3=48, Resulting Numbers: [63, 75, 48]
Generated Node #0,0: 47:[63, 75, 48] Operation: 51-3=48
Exploring Operation: 75-3=72, Resulting Numbers: [51, 63, 72]
Generated Node #0,1: 47:[51, 63, 72] Operation: 75-3=72
Exploring Operation: 63-3=60, Resulting Numbers: [51, 75, 60]
Generated Node #0,2: 47:[51, 75, 60] Operation: 63-3=60
Exploring Operation: 75/3=25, Resulting Numbers: [51, 63, 25]
Generated Node #0,3: 47:[51, 63, 25] Operation: 75/3=25
Start Sub Search at level 1: Moving to Node #0,3
Current State: 47:[51, 63, 25], Operations: ['75/3=25']
Exploring Operation: 51+25=76, Resulting Numbers: [63, 76]
Generated Node #0,3,0: 47:[63, 76] Operation: 51+25=76
Exploring Operation: 51-25=26, Resulting Numbers: [63, 26]
Generated Node #0,3,1: 47:[63, 26] Operation: 51-25=26
Exploring Operation: 63-25=38, Resulting Numbers: [51, 38]
Generated Node #0,3,2: 47:[51, 38] Operation: 63-25=38
Exploring Operation: 63+25=88, Resulting Numbers: [51, 88]
Generated Node #0,3,3: 47:[51, 88] Operation: 63+25=88
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 47:[51, 38], Operations: ['75/3=25', '63-25=38']
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 51+38=89, Resulting Numbers: [89]
89,47 unequal: No Solution
Exploring Operation: 51*38=1938, Resulting Numbers: [1938]
1938,47 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 #0,3,1
Current State: 47:[63, 26], Operations: ['75/3=25', '51-25=26']
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,47 unequal: No Solution
Exploring Operation: 63*26=1638, Resulting Numbers: [1638]
1638,47 unequal: No Solution
Exploring Operation: 63+26=89, Resulting Numbers: [89]
89,47 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 #0,3,0
Current State: 47:[63, 76], Operations: ['75/3=25', '51+25=76']
Exploring Operation: 76-63=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 63*76=4788, Resulting Numbers: [4788]
4788,47 unequal: No Solution
Exploring Operation: 63+76=139, Resulting Numbers: [139]
139,47 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 #0,3,3
Current State: 47:[51, 88], Operations: ['75/3=25', '63+25=88']
Exploring Operation: 88-51=37, Resulting Numbers: [37]
37,47 unequal: No Solution
Exploring Operation: 51+88=139, Resulting Numbers: [139]
139,47 unequal: No Solution
Exploring Operation: 51*88=4488, Resulting Numbers: [4488]
4488,47 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 #0,0
Current State: 47:[63, 75, 48], Operations: ['51-3=48']
Exploring Operation: 63+75=138, Resulting Numbers: [48, 138]
Generated Node #0,0,0: 47:[48, 138] Operation: 63+75=138
Exploring Operation: 75-48=27, Resulting Numbers: [63, 27]
Generated Node #0,0,1: 47:[63, 27] Operation: 75-48=27
Exploring Operation: 63-48=15, Resulting Numbers: [75, 15]
Generated Node #0,0,2: 47:[75, 15] Operation: 63-48=15
Exploring Operation: 75-63=12, Resulting Numbers: [48, 12]
Generated Node #0,0,3: 47:[48, 12] Operation: 75-63=12
Moving to Node #0,0,1
Current State: 47:[63, 27], Operations: ['51-3=48', '75-48=27']
Exploring Operation: 63-27=36, Resulting Numbers: [36]
36,47 unequal: No Solution
Exploring Operation: 63+27=90, Resulting Numbers: [90]
90,47 unequal: No Solution
Exploring Operation: 63*27=1701, Resulting Numbers: [1701]
1701,47 unequal: No Solution
Moving to Node #0,0,3
Current State: 47:[48, 12], Operations: ['51-3=48', '75-63=12']
Exploring Operation: 48-12=36, Resulting Numbers: [36]
36,47 unequal: No Solution
Exploring Operation: 48/12=4, Resulting Numbers: [4]
4,47 unequal: No Solution
Exploring Operation: 48+12=60, Resulting Numbers: [60]
60,47 unequal: No Solution
Exploring Operation: 48*12=576, Resulting Numbers: [576]
576,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[75, 15], Operations: ['51-3=48', '63-48=15']
Exploring Operation: 75*15=1125, Resulting Numbers: [1125]
1125,47 unequal: No Solution
Exploring Operation: 75+15=90, Resulting Numbers: [90]
90,47 unequal: No Solution
Exploring Operation: 75-15=60, Resulting Numbers: [60]
60,47 unequal: No Solution
Exploring Operation: 75/15=5, Resulting Numbers: [5]
5,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[48, 138], Operations: ['51-3=48', '63+75=138']
Exploring Operation: 48+138=186, Resulting Numbers: [186]
186,47 unequal: No Solution
Exploring Operation: 138-48=90, Resulting Numbers: [90]
90,47 unequal: No Solution
Exploring Operation: 48*138=6624, Resulting Numbers: [6624]
6624,47 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:[51, 63, 72], Operations: ['75-3=72']
Exploring Operation: 51+63=114, Resulting Numbers: [72, 114]
Generated Node #0,1,0: 47:[72, 114] Operation: 51+63=114
Exploring Operation: 63-51=12, Resulting Numbers: [72, 12]
Generated Node #0,1,1: 47:[72, 12] Operation: 63-51=12
Exploring Operation: 72-63=9, Resulting Numbers: [51, 9]
Generated Node #0,1,2: 47:[51, 9] Operation: 72-63=9
Exploring Operation: 72-51=21, Resulting Numbers: [63, 21]
Generated Node #0,1,3: 47:[63, 21] Operation: 72-51=21
Moving to Node #0,1,2
Current State: 47:[51, 9], Operations: ['75-3=72', '72-63=9']
Exploring Operation: 51*9=459, Resulting Numbers: [459]
459,47 unequal: No Solution
Exploring Operation: 51+9=60, Resulting Numbers: [60]
60,47 unequal: No Solution
Exploring Operation: 51-9=42, Resulting Numbers: [42]
42,47 unequal: No Solution
Moving to Node #0,1,3
Current State: 47:[63, 21], Operations: ['75-3=72', '72-51=21']
Exploring Operation: 63+21=84, Resulting Numbers: [84]
84,47 unequal: No Solution
Exploring Operation: 63/21=3, Resulting Numbers: [3]
3,47 unequal: No Solution
Exploring Operation: 63-21=42, Resulting Numbers: [42]
42,47 unequal: No Solution
Exploring Operation: 63*21=1323, Resulting Numbers: [1323]
1323,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[72, 12], Operations: ['75-3=72', '63-51=12']
Exploring Operation: 72+12=84, Resulting Numbers: [84]
84,47 unequal: No Solution
Exploring Operation: 72*12=864, Resulting Numbers: [864]
864,47 unequal: No Solution
Exploring Operation: 72-12=60, Resulting Numbers: [60]
60,47 unequal: No Solution
Exploring Operation: 72/12=6, Resulting Numbers: [6]
6,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[72, 114], Operations: ['75-3=72', '51+63=114']
Exploring Operation: 114-72=42, Resulting Numbers: [42]
42,47 unequal: No Solution
Exploring Operation: 72+114=186, Resulting Numbers: [186]
186,47 unequal: No Solution
Exploring Operation: 72*114=8208, Resulting Numbers: [8208]
8208,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[51, 75, 60], Operations: ['63-3=60']
Exploring Operation: 51+75=126, Resulting Numbers: [60, 126]
Generated Node #0,2,0: 47:[60, 126] Operation: 51+75=126
Exploring Operation: 75-60=15, Resulting Numbers: [51, 15]
Generated Node #0,2,1: 47:[51, 15] Operation: 75-60=15
Exploring Operation: 60-51=9, Resulting Numbers: [75, 9]
Generated Node #0,2,2: 47:[75, 9] Operation: 60-51=9
Exploring Operation: 75-51=24, Resulting Numbers: [60, 24]
Generated Node #0,2,3: 47:[60, 24] Operation: 75-51=24
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 47:[51, 15], Operations: ['63-3=60', '75-60=15']
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,47 unequal: No Solution
Exploring Operation: 51*15=765, Resulting Numbers: [765]
765,47 unequal: No Solution
Exploring Operation: 51+15=66, Resulting Numbers: [66]
66,47 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 #0,2,3
Current State: 47:[60, 24], Operations: ['63-3=60', '75-51=24']
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,47 unequal: No Solution
Exploring Operation: 60*24=1440, Resulting Numbers: [1440]
1440,47 unequal: No Solution
Exploring Operation: 60+24=84, Resulting Numbers: [84]
84,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 47:[75, 9], Operations: ['63-3=60', '60-51=9']
Exploring Operation: 75+9=84, Resulting Numbers: [84]
84,47 unequal: No Solution
Exploring Operation: 75-9=66, Resulting Numbers: [66]
66,47 unequal: No Solution
Exploring Operation: 75*9=675, Resulting Numbers: [675]
675,47 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:[60, 126], Operations: ['63-3=60', '51+75=126']
Exploring Operation: 60*126=7560, Resulting Numbers: [7560]
7560,47 unequal: No Solution
Exploring Operation: 60+126=186, Resulting Numbers: [186]
186,47 unequal: No Solution
Exploring Operation: 126-60=66, Resulting Numbers: [66]
66,47 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_4 | mult_heuristic |
[
5,
37,
26,
40
] | 46 | [
"37-5=32",
"40-26=14",
"32+14=46"
] | Current State: 46:[5, 37, 26, 40], Operations: []
Exploring Operation: 37-5=32, Resulting Numbers: [26, 40, 32]
Generated Node #2: [26, 40, 32] from Operation: 37-5=32
Current State: 46:[26, 40, 32], Operations: ['37-5=32']
Exploring Operation: 40-26=14, Resulting Numbers: [32, 14]
Generated Node #3: [32, 14] from Operation: 40-26=14
Current State: 46:[32, 14], Operations: ['37-5=32', '40-26=14']
Exploring Operation: 32+14=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[5, 37, 26, 40], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [5, 26, 3]
Generated Node #0,0: 46:[5, 26, 3] Operation: 40-37=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[5, 26, 3], Operations: ['40-37=3']
Exploring Operation: 26-5=21, Resulting Numbers: [3, 21]
Generated Node #0,0,0: 46:[3, 21] Operation: 26-5=21
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 46:[3, 21], Operations: ['40-37=3', '26-5=21']
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
3,
2,
20,
63
] | 78 | [
"3+2=5",
"20+63=83",
"83-5=78"
] | Current State: 78:[3, 2, 20, 63], Operations: []
Exploring Operation: 3+2=5, Resulting Numbers: [20, 63, 5]
Generated Node #2: [20, 63, 5] from Operation: 3+2=5
Current State: 78:[20, 63, 5], Operations: ['3+2=5']
Exploring Operation: 20+63=83, Resulting Numbers: [5, 83]
Generated Node #3: [5, 83] from Operation: 20+63=83
Current State: 78:[5, 83], Operations: ['3+2=5', '20+63=83']
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[3, 2, 20, 63], Operations: []
Exploring Operation: 63-20=43, Resulting Numbers: [3, 2, 43]
Generated Node #0,0: 78:[3, 2, 43] Operation: 63-20=43
Moving to Node #0,0
Current State: 78:[3, 2, 43], Operations: ['63-20=43']
Exploring Operation: 43-3=40, Resulting Numbers: [2, 40]
Generated Node #0,0,0: 78:[2, 40] Operation: 43-3=40
Moving to Node #0,0,0
Current State: 78:[2, 40], Operations: ['63-20=43', '43-3=40']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,78 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
82,
21,
59,
36
] | 23 | [
"82+36=118",
"118/59=2",
"21+2=23"
] | Current State: 23:[82, 21, 59, 36], Operations: []
Exploring Operation: 82+36=118, Resulting Numbers: [21, 59, 118]
Generated Node #2: [21, 59, 118] from Operation: 82+36=118
Current State: 23:[21, 59, 118], Operations: ['82+36=118']
Exploring Operation: 118/59=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 118/59=2
Current State: 23:[21, 2], Operations: ['82+36=118', '118/59=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[82, 21, 59, 36], Operations: []
Exploring Operation: 59-36=23, Resulting Numbers: [82, 21, 23]
Generated Node #0,0: 23:[82, 21, 23] Operation: 59-36=23
Exploring Operation: 82-59=23, Resulting Numbers: [21, 36, 23]
Generated Node #0,1: 23:[21, 36, 23] Operation: 82-59=23
Exploring Operation: 82-36=46, Resulting Numbers: [21, 59, 46]
Generated Node #0,2: 23:[21, 59, 46] Operation: 82-36=46
Exploring Operation: 59-21=38, Resulting Numbers: [82, 36, 38]
Generated Node #0,3: 23:[82, 36, 38] Operation: 59-21=38
Exploring Operation: 82-21=61, Resulting Numbers: [59, 36, 61]
Generated Node #0,4: 23:[59, 36, 61] Operation: 82-21=61
Moving to Node #0,1
Current State: 23:[21, 36, 23], Operations: ['82-59=23']
Exploring Operation: 23-21=2, Resulting Numbers: [36, 2]
Generated Node #0,1,0: 23:[36, 2] Operation: 23-21=2
Exploring Operation: 36-23=13, Resulting Numbers: [21, 13]
Generated Node #0,1,1: 23:[21, 13] Operation: 36-23=13
Exploring Operation: 21+36=57, Resulting Numbers: [23, 57]
Generated Node #0,1,2: 23:[23, 57] Operation: 21+36=57
Exploring Operation: 21+23=44, Resulting Numbers: [36, 44]
Generated Node #0,1,3: 23:[36, 44] Operation: 21+23=44
Exploring Operation: 36-21=15, Resulting Numbers: [23, 15]
Generated Node #0,1,4: 23:[23, 15] Operation: 36-21=15
Moving to Node #0,2
Current State: 23:[21, 59, 46], Operations: ['82-36=46']
Exploring Operation: 21+46=67, Resulting Numbers: [59, 67]
Generated Node #0,2,0: 23:[59, 67] Operation: 21+46=67
Exploring Operation: 59-21=38, Resulting Numbers: [46, 38]
Generated Node #0,2,1: 23:[46, 38] Operation: 59-21=38
Exploring Operation: 59-46=13, Resulting Numbers: [21, 13]
Generated Node #0,2,2: 23:[21, 13] Operation: 59-46=13
Exploring Operation: 46-21=25, Resulting Numbers: [59, 25]
Generated Node #0,2,3: 23:[59, 25] Operation: 46-21=25
Exploring Operation: 21+59=80, Resulting Numbers: [46, 80]
Generated Node #0,2,4: 23:[46, 80] Operation: 21+59=80
Moving to Node #0,0
Current State: 23:[82, 21, 23], Operations: ['59-36=23']
Exploring Operation: 82-21=61, Resulting Numbers: [23, 61]
Generated Node #0,0,0: 23:[23, 61] Operation: 82-21=61
Exploring Operation: 82+21=103, Resulting Numbers: [23, 103]
Generated Node #0,0,1: 23:[23, 103] Operation: 82+21=103
Exploring Operation: 23-21=2, Resulting Numbers: [82, 2]
Generated Node #0,0,2: 23:[82, 2] Operation: 23-21=2
Exploring Operation: 82-23=59, Resulting Numbers: [21, 59]
Generated Node #0,0,3: 23:[21, 59] Operation: 82-23=59
Exploring Operation: 21+23=44, Resulting Numbers: [82, 44]
Generated Node #0,0,4: 23:[82, 44] Operation: 21+23=44
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[23, 61], Operations: ['59-36=23', '82-21=61']
Exploring Operation: 23+61=84, Resulting Numbers: [84]
84,23 unequal: No Solution
Exploring Operation: 61-23=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 23*61=1403, Resulting Numbers: [1403]
1403,23 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:[21, 59], Operations: ['59-36=23', '82-23=59']
Exploring Operation: 59-21=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 21*59=1239, Resulting Numbers: [1239]
1239,23 unequal: No Solution
Exploring Operation: 21+59=80, Resulting Numbers: [80]
80,23 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:[23, 103], Operations: ['59-36=23', '82+21=103']
Exploring Operation: 23+103=126, Resulting Numbers: [126]
126,23 unequal: No Solution
Exploring Operation: 103-23=80, Resulting Numbers: [80]
80,23 unequal: No Solution
Exploring Operation: 23*103=2369, Resulting Numbers: [2369]
2369,23 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:[82, 2], Operations: ['59-36=23', '23-21=2']
Exploring Operation: 82*2=164, Resulting Numbers: [164]
164,23 unequal: No Solution
Exploring Operation: 82+2=84, Resulting Numbers: [84]
84,23 unequal: No Solution
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,23 unequal: No Solution
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,23 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:[82, 44], Operations: ['59-36=23', '21+23=44']
Exploring Operation: 82*44=3608, Resulting Numbers: [3608]
3608,23 unequal: No Solution
Exploring Operation: 82+44=126, Resulting Numbers: [126]
126,23 unequal: No Solution
Exploring Operation: 82-44=38, Resulting Numbers: [38]
38,23 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:[82, 36, 38], Operations: ['59-21=38']
Exploring Operation: 82-36=46, Resulting Numbers: [38, 46]
Generated Node #0,3,0: 23:[38, 46] Operation: 82-36=46
Exploring Operation: 82+36=118, Resulting Numbers: [38, 118]
Generated Node #0,3,1: 23:[38, 118] Operation: 82+36=118
Exploring Operation: 82-38=44, Resulting Numbers: [36, 44]
Generated Node #0,3,2: 23:[36, 44] Operation: 82-38=44
Exploring Operation: 38-36=2, Resulting Numbers: [82, 2]
Generated Node #0,3,3: 23:[82, 2] Operation: 38-36=2
Exploring Operation: 82+38=120, Resulting Numbers: [36, 120]
Generated Node #0,3,4: 23:[36, 120] Operation: 82+38=120
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 23:[36, 44], Operations: ['59-21=38', '82-38=44']
Exploring Operation: 44-36=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 36*44=1584, Resulting Numbers: [1584]
1584,23 unequal: No Solution
Exploring Operation: 36+44=80, Resulting Numbers: [80]
80,23 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:[38, 46], Operations: ['59-21=38', '82-36=46']
Exploring Operation: 38+46=84, Resulting Numbers: [84]
84,23 unequal: No Solution
Exploring Operation: 38*46=1748, Resulting Numbers: [1748]
1748,23 unequal: No Solution
Exploring Operation: 46-38=8, Resulting Numbers: [8]
8,23 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:[82, 2], Operations: ['59-21=38', '38-36=2']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,23 unequal: No Solution
Exploring Operation: 82+2=84, Resulting Numbers: [84]
84,23 unequal: No Solution
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,23 unequal: No Solution
Exploring Operation: 82*2=164, Resulting Numbers: [164]
164,23 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:[38, 118], Operations: ['59-21=38', '82+36=118']
Exploring Operation: 38*118=4484, Resulting Numbers: [4484]
4484,23 unequal: No Solution
Exploring Operation: 118-38=80, Resulting Numbers: [80]
80,23 unequal: No Solution
Exploring Operation: 38+118=156, Resulting Numbers: [156]
156,23 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:[36, 120], Operations: ['59-21=38', '82+38=120']
Exploring Operation: 36*120=4320, Resulting Numbers: [4320]
4320,23 unequal: No Solution
Exploring Operation: 120-36=84, Resulting Numbers: [84]
84,23 unequal: No Solution
Exploring Operation: 36+120=156, Resulting Numbers: [156]
156,23 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:[59, 36, 61], Operations: ['82-21=61']
Exploring Operation: 61-36=25, Resulting Numbers: [59, 25]
Generated Node #0,4,0: 23:[59, 25] Operation: 61-36=25
Exploring Operation: 59-36=23, Resulting Numbers: [61, 23]
Generated Node #0,4,1: 23:[61, 23] Operation: 59-36=23
Exploring Operation: 59+61=120, Resulting Numbers: [36, 120]
Generated Node #0,4,2: 23:[36, 120] Operation: 59+61=120
Exploring Operation: 61-59=2, Resulting Numbers: [36, 2]
Generated Node #0,4,3: 23:[36, 2] Operation: 61-59=2
Exploring Operation: 59+36=95, Resulting Numbers: [61, 95]
Generated Node #0,4,4: 23:[61, 95] Operation: 59+36=95
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 23:[36, 2], Operations: ['82-21=61', '61-59=2']
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,23 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,23 unequal: No Solution
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,23 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:[59, 25], Operations: ['82-21=61', '61-36=25']
Exploring Operation: 59+25=84, Resulting Numbers: [84]
84,23 unequal: No Solution
Exploring Operation: 59-25=34, Resulting Numbers: [34]
34,23 unequal: No Solution
Exploring Operation: 59*25=1475, Resulting Numbers: [1475]
1475,23 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:[61, 23], Operations: ['82-21=61', '59-36=23']
Exploring Operation: 61-23=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 61*23=1403, Resulting Numbers: [1403]
1403,23 unequal: No Solution
Exploring Operation: 61+23=84, Resulting Numbers: [84]
84,23 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 #0,4,2
Current State: 23:[36, 120], Operations: ['82-21=61', '59+61=120']
Exploring Operation: 36+120=156, Resulting Numbers: [156]
156,23 unequal: No Solution
Exploring Operation: 36*120=4320, Resulting Numbers: [4320]
4320,23 unequal: No Solution
Exploring Operation: 120-36=84, Resulting Numbers: [84]
84,23 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:[61, 95], Operations: ['82-21=61', '59+36=95']
Exploring Operation: 95-61=34, Resulting Numbers: [34]
34,23 unequal: No Solution
Exploring Operation: 61*95=5795, Resulting Numbers: [5795]
5795,23 unequal: No Solution
Exploring Operation: 61+95=156, Resulting Numbers: [156]
156,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,4
Current State: 23:[23, 15], Operations: ['82-59=23', '36-21=15']
Exploring Operation: 23*15=345, Resulting Numbers: [345]
345,23 unequal: No Solution
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 23+15=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Moving to Node #0,2,2
Current State: 23:[21, 13], Operations: ['82-36=46', '59-46=13']
Exploring Operation: 21*13=273, Resulting Numbers: [273]
273,23 unequal: No Solution
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 21+13=34, Resulting Numbers: [34]
34,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[21, 13], Operations: ['82-59=23', '36-23=13']
Exploring Operation: 21*13=273, Resulting Numbers: [273]
273,23 unequal: No Solution
Exploring Operation: 21+13=34, Resulting Numbers: [34]
34,23 unequal: No Solution
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Moving to Node #0,1,0
Current State: 23:[36, 2], Operations: ['82-59=23', '23-21=2']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,23 unequal: No Solution
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,23 unequal: No Solution
Exploring Operation: 36*2=72, Resulting Numbers: [72]
72,23 unequal: No Solution
Moving to Node #0,1,3
Current State: 23:[36, 44], Operations: ['82-59=23', '21+23=44']
Exploring Operation: 44-36=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 36*44=1584, Resulting Numbers: [1584]
1584,23 unequal: No Solution
Exploring Operation: 36+44=80, Resulting Numbers: [80]
80,23 unequal: No Solution
Moving to Node #0,1,2
Current State: 23:[23, 57], Operations: ['82-59=23', '21+36=57']
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,23 unequal: No Solution
Exploring Operation: 23*57=1311, Resulting Numbers: [1311]
1311,23 unequal: No Solution
Exploring Operation: 23+57=80, Resulting Numbers: [80]
80,23 unequal: No Solution
Moving to Node #0,2,1
Current State: 23:[46, 38], Operations: ['82-36=46', '59-21=38']
Exploring Operation: 46-38=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 46*38=1748, Resulting Numbers: [1748]
1748,23 unequal: No Solution
Exploring Operation: 46+38=84, Resulting Numbers: [84]
84,23 unequal: No Solution
Moving to Node #0,2,3
Current State: 23:[59, 25], Operations: ['82-36=46', '46-21=25']
Exploring Operation: 59*25=1475, Resulting Numbers: [1475]
1475,23 unequal: No Solution
Exploring Operation: 59+25=84, Resulting Numbers: [84]
84,23 unequal: No Solution
Exploring Operation: 59-25=34, Resulting Numbers: [34]
34,23 unequal: No Solution
Moving to Node #0,2,4
Current State: 23:[46, 80], Operations: ['82-36=46', '21+59=80']
Exploring Operation: 46+80=126, Resulting Numbers: [126]
126,23 unequal: No Solution
Exploring Operation: 80-46=34, Resulting Numbers: [34]
34,23 unequal: No Solution
Exploring Operation: 46*80=3680, Resulting Numbers: [3680]
3680,23 unequal: No Solution
Moving to Node #0,2,0
Current State: 23:[59, 67], Operations: ['82-36=46', '21+46=67']
Exploring Operation: 59+67=126, Resulting Numbers: [126]
126,23 unequal: No Solution
Exploring Operation: 67-59=8, Resulting Numbers: [8]
8,23 unequal: No Solution
Exploring Operation: 59*67=3953, Resulting Numbers: [3953]
3953,23 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
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