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 |
|---|---|---|---|---|---|---|---|---|
[
18,
46,
44,
42
] | 12 | [
"42-18=24",
"46-44=2",
"24/2=12"
] | Current State: 12:[18, 46, 44, 42], Operations: []
Exploring Operation: 42-18=24, Resulting Numbers: [46, 44, 24]
Generated Node #2: [46, 44, 24] from Operation: 42-18=24
Current State: 12:[46, 44, 24], Operations: ['42-18=24']
Exploring Operation: 46-44=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 46-44=2
Current State: 12:[24, 2], Operations: ['42-18=24', '46-44=2']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[18, 46, 44, 42], Operations: []
Exploring Operation: 46-42=4, Resulting Numbers: [18, 44, 4]
Generated Node #0,0: 12:[18, 44, 4] Operation: 46-42=4
Exploring Operation: 46-18=28, Resulting Numbers: [44, 42, 28]
Generated Node #0,1: 12:[44, 42, 28] Operation: 46-18=28
Exploring Operation: 44-42=2, Resulting Numbers: [18, 46, 2]
Generated Node #0,2: 12:[18, 46, 2] Operation: 44-42=2
Exploring Operation: 46-44=2, Resulting Numbers: [18, 42, 2]
Generated Node #0,3: 12:[18, 42, 2] Operation: 46-44=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 12:[18, 42, 2], Operations: ['46-44=2']
Exploring Operation: 18-2=16, Resulting Numbers: [42, 16]
Generated Node #0,3,0: 12:[42, 16] Operation: 18-2=16
Exploring Operation: 42/2=21, Resulting Numbers: [18, 21]
Generated Node #0,3,1: 12:[18, 21] Operation: 42/2=21
Exploring Operation: 42-18=24, Resulting Numbers: [2, 24]
Generated Node #0,3,2: 12:[2, 24] Operation: 42-18=24
Exploring Operation: 18/2=9, Resulting Numbers: [42, 9]
Generated Node #0,3,3: 12:[42, 9] Operation: 18/2=9
Moving to Node #0,3,2
Current State: 12:[2, 24], Operations: ['46-44=2', '42-18=24']
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,12 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,12 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,12 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[18, 46, 44, 42], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [18, 42, 2]
Generated Node #0,3: 12:[18, 42, 2] Operation: 46-44=2
Moving to Node #0,3
Current State: 12:[18, 42, 2], Operations: ['46-44=2']
Exploring Operation: 42-18=24, Resulting Numbers: [2, 24]
Generated Node #0,3,2: 12:[2, 24] Operation: 42-18=24
Moving to Node #0,3,2
Current State: 12:[2, 24], Operations: ['46-44=2', '42-18=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
52,
43,
76,
34
] | 15 | [
"52+43=95",
"76+34=110",
"110-95=15"
] | Current State: 15:[52, 43, 76, 34], Operations: []
Exploring Operation: 52+43=95, Resulting Numbers: [76, 34, 95]
Generated Node #2: [76, 34, 95] from Operation: 52+43=95
Current State: 15:[76, 34, 95], Operations: ['52+43=95']
Exploring Operation: 76+34=110, Resulting Numbers: [95, 110]
Generated Node #3: [95, 110] from Operation: 76+34=110
Current State: 15:[95, 110], Operations: ['52+43=95', '76+34=110']
Exploring Operation: 110-95=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[52, 43, 76, 34], Operations: []
Exploring Operation: 76-52=24, Resulting Numbers: [43, 34, 24]
Generated Node #0,0: 15:[43, 34, 24] Operation: 76-52=24
Moving to Node #0,0
Current State: 15:[43, 34, 24], Operations: ['76-52=24']
Exploring Operation: 43-34=9, Resulting Numbers: [24, 9]
Generated Node #0,0,0: 15:[24, 9] Operation: 43-34=9
Moving to Node #0,0,0
Current State: 15:[24, 9], Operations: ['76-52=24', '43-34=9']
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[52, 43, 76, 34], Operations: []
Exploring Operation: 76-52=24, Resulting Numbers: [43, 34, 24]
Generated Node #0,0: 15:[43, 34, 24] Operation: 76-52=24
Moving to Node #0,0
Current State: 15:[43, 34, 24], Operations: ['76-52=24']
Exploring Operation: 43-34=9, Resulting Numbers: [24, 9]
Generated Node #0,0,0: 15:[24, 9] Operation: 43-34=9
Moving to Node #0,0,0
Current State: 15:[24, 9], Operations: ['76-52=24', '43-34=9']
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
28,
97,
23,
81
] | 35 | [
"97-28=69",
"23+81=104",
"104-69=35"
] | Current State: 35:[28, 97, 23, 81], Operations: []
Exploring Operation: 97-28=69, Resulting Numbers: [23, 81, 69]
Generated Node #2: [23, 81, 69] from Operation: 97-28=69
Current State: 35:[23, 81, 69], Operations: ['97-28=69']
Exploring Operation: 23+81=104, Resulting Numbers: [69, 104]
Generated Node #3: [69, 104] from Operation: 23+81=104
Current State: 35:[69, 104], Operations: ['97-28=69', '23+81=104']
Exploring Operation: 104-69=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[28, 97, 23, 81], Operations: []
Exploring Operation: 97-81=16, Resulting Numbers: [28, 23, 16]
Generated Node #0,0: 35:[28, 23, 16] Operation: 97-81=16
Exploring Operation: 97-28=69, Resulting Numbers: [23, 81, 69]
Generated Node #0,1: 35:[23, 81, 69] Operation: 97-28=69
Exploring Operation: 81-28=53, Resulting Numbers: [97, 23, 53]
Generated Node #0,2: 35:[97, 23, 53] Operation: 81-28=53
Moving to Node #0,0
Current State: 35:[28, 23, 16], Operations: ['97-81=16']
Exploring Operation: 23+16=39, Resulting Numbers: [28, 39]
Generated Node #0,0,0: 35:[28, 39] Operation: 23+16=39
Exploring Operation: 23-16=7, Resulting Numbers: [28, 7]
Generated Node #0,0,1: 35:[28, 7] Operation: 23-16=7
Exploring Operation: 28-23=5, Resulting Numbers: [16, 5]
Generated Node #0,0,2: 35:[16, 5] Operation: 28-23=5
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 35:[28, 7], Operations: ['97-81=16', '23-16=7']
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,35 unequal: No Solution
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[28, 97, 23, 81], Operations: []
Exploring Operation: 97-81=16, Resulting Numbers: [28, 23, 16]
Generated Node #0,0: 35:[28, 23, 16] Operation: 97-81=16
Moving to Node #0,0
Current State: 35:[28, 23, 16], Operations: ['97-81=16']
Exploring Operation: 23-16=7, Resulting Numbers: [28, 7]
Generated Node #0,0,1: 35:[28, 7] Operation: 23-16=7
Moving to Node #0,0,1
Current State: 35:[28, 7], Operations: ['97-81=16', '23-16=7']
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
83,
16,
88,
63
] | 42 | [
"83-16=67",
"88-63=25",
"67-25=42"
] | Current State: 42:[83, 16, 88, 63], Operations: []
Exploring Operation: 83-16=67, Resulting Numbers: [88, 63, 67]
Generated Node #2: [88, 63, 67] from Operation: 83-16=67
Current State: 42:[88, 63, 67], Operations: ['83-16=67']
Exploring Operation: 88-63=25, Resulting Numbers: [67, 25]
Generated Node #3: [67, 25] from Operation: 88-63=25
Current State: 42:[67, 25], Operations: ['83-16=67', '88-63=25']
Exploring Operation: 67-25=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[83, 16, 88, 63], Operations: []
Exploring Operation: 88-63=25, Resulting Numbers: [83, 16, 25]
Generated Node #0,0: 42:[83, 16, 25] Operation: 88-63=25
Exploring Operation: 88-83=5, Resulting Numbers: [16, 63, 5]
Generated Node #0,1: 42:[16, 63, 5] Operation: 88-83=5
Exploring Operation: 88-16=72, Resulting Numbers: [83, 63, 72]
Generated Node #0,2: 42:[83, 63, 72] Operation: 88-16=72
Exploring Operation: 83-63=20, Resulting Numbers: [16, 88, 20]
Generated Node #0,3: 42:[16, 88, 20] Operation: 83-63=20
Exploring Operation: 83-16=67, Resulting Numbers: [88, 63, 67]
Generated Node #0,4: 42:[88, 63, 67] Operation: 83-16=67
Moving to Node #0,1
Current State: 42:[16, 63, 5], Operations: ['88-83=5']
Exploring Operation: 63-5=58, Resulting Numbers: [16, 58]
Generated Node #0,1,0: 42:[16, 58] Operation: 63-5=58
Exploring Operation: 63+5=68, Resulting Numbers: [16, 68]
Generated Node #0,1,1: 42:[16, 68] Operation: 63+5=68
Exploring Operation: 16-5=11, Resulting Numbers: [63, 11]
Generated Node #0,1,2: 42:[63, 11] Operation: 16-5=11
Exploring Operation: 63-16=47, Resulting Numbers: [5, 47]
Generated Node #0,1,3: 42:[5, 47] Operation: 63-16=47
Exploring Operation: 16+5=21, Resulting Numbers: [63, 21]
Generated Node #0,1,4: 42:[63, 21] Operation: 16+5=21
Moving to Node #0,0
Current State: 42:[83, 16, 25], Operations: ['88-63=25']
Exploring Operation: 16+25=41, Resulting Numbers: [83, 41]
Generated Node #0,0,0: 42:[83, 41] Operation: 16+25=41
Exploring Operation: 83+16=99, Resulting Numbers: [25, 99]
Generated Node #0,0,1: 42:[25, 99] Operation: 83+16=99
Exploring Operation: 83-16=67, Resulting Numbers: [25, 67]
Generated Node #0,0,2: 42:[25, 67] Operation: 83-16=67
Exploring Operation: 25-16=9, Resulting Numbers: [83, 9]
Generated Node #0,0,3: 42:[83, 9] Operation: 25-16=9
Exploring Operation: 83-25=58, Resulting Numbers: [16, 58]
Generated Node #0,0,4: 42:[16, 58] Operation: 83-25=58
Moving to Node #0,3
Current State: 42:[16, 88, 20], Operations: ['83-63=20']
Exploring Operation: 20-16=4, Resulting Numbers: [88, 4]
Generated Node #0,3,0: 42:[88, 4] Operation: 20-16=4
Exploring Operation: 88-20=68, Resulting Numbers: [16, 68]
Generated Node #0,3,1: 42:[16, 68] Operation: 88-20=68
Exploring Operation: 16+88=104, Resulting Numbers: [20, 104]
Generated Node #0,3,2: 42:[20, 104] Operation: 16+88=104
Exploring Operation: 88-16=72, Resulting Numbers: [20, 72]
Generated Node #0,3,3: 42:[20, 72] Operation: 88-16=72
Exploring Operation: 16+20=36, Resulting Numbers: [88, 36]
Generated Node #0,3,4: 42:[88, 36] Operation: 16+20=36
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 42:[16, 68], Operations: ['83-63=20', '88-20=68']
Exploring Operation: 16*68=1088, Resulting Numbers: [1088]
1088,42 unequal: No Solution
Exploring Operation: 68-16=52, Resulting Numbers: [52]
52,42 unequal: No Solution
Exploring Operation: 16+68=84, Resulting Numbers: [84]
84,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 42:[20, 72], Operations: ['83-63=20', '88-16=72']
Exploring Operation: 20+72=92, Resulting Numbers: [92]
92,42 unequal: No Solution
Exploring Operation: 72-20=52, Resulting Numbers: [52]
52,42 unequal: No Solution
Exploring Operation: 20*72=1440, Resulting Numbers: [1440]
1440,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 42:[88, 4], Operations: ['83-63=20', '20-16=4']
Exploring Operation: 88*4=352, Resulting Numbers: [352]
352,42 unequal: No Solution
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,42 unequal: No Solution
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Exploring Operation: 88+4=92, Resulting Numbers: [92]
92,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 42:[88, 36], Operations: ['83-63=20', '16+20=36']
Exploring Operation: 88*36=3168, Resulting Numbers: [3168]
3168,42 unequal: No Solution
Exploring Operation: 88+36=124, Resulting Numbers: [124]
124,42 unequal: No Solution
Exploring Operation: 88-36=52, Resulting Numbers: [52]
52,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 42:[20, 104], Operations: ['83-63=20', '16+88=104']
Exploring Operation: 20+104=124, Resulting Numbers: [124]
124,42 unequal: No Solution
Exploring Operation: 104-20=84, Resulting Numbers: [84]
84,42 unequal: No Solution
Exploring Operation: 20*104=2080, Resulting Numbers: [2080]
2080,42 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: 42:[83, 63, 72], Operations: ['88-16=72']
Exploring Operation: 83-72=11, Resulting Numbers: [63, 11]
Generated Node #0,2,0: 42:[63, 11] Operation: 83-72=11
Exploring Operation: 83-63=20, Resulting Numbers: [72, 20]
Generated Node #0,2,1: 42:[72, 20] Operation: 83-63=20
Exploring Operation: 83+72=155, Resulting Numbers: [63, 155]
Generated Node #0,2,2: 42:[63, 155] Operation: 83+72=155
Exploring Operation: 72-63=9, Resulting Numbers: [83, 9]
Generated Node #0,2,3: 42:[83, 9] Operation: 72-63=9
Exploring Operation: 83+63=146, Resulting Numbers: [72, 146]
Generated Node #0,2,4: 42:[72, 146] Operation: 83+63=146
Moving to Node #0,4
Current State: 42:[88, 63, 67], Operations: ['83-16=67']
Exploring Operation: 88+67=155, Resulting Numbers: [63, 155]
Generated Node #0,4,0: 42:[63, 155] Operation: 88+67=155
Exploring Operation: 88-63=25, Resulting Numbers: [67, 25]
Generated Node #0,4,1: 42:[67, 25] Operation: 88-63=25
Exploring Operation: 67-63=4, Resulting Numbers: [88, 4]
Generated Node #0,4,2: 42:[88, 4] Operation: 67-63=4
Exploring Operation: 88-67=21, Resulting Numbers: [63, 21]
Generated Node #0,4,3: 42:[63, 21] Operation: 88-67=21
Exploring Operation: 88+63=151, Resulting Numbers: [67, 151]
Generated Node #0,4,4: 42:[67, 151] Operation: 88+63=151
Moving to Node #0,1,3
Current State: 42:[5, 47], Operations: ['88-83=5', '63-16=47']
Exploring Operation: 5+47=52, Resulting Numbers: [52]
52,42 unequal: No Solution
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[83, 16, 88, 63], Operations: []
Exploring Operation: 88-83=5, Resulting Numbers: [16, 63, 5]
Generated Node #0,1: 42:[16, 63, 5] Operation: 88-83=5
Moving to Node #0,1
Current State: 42:[16, 63, 5], Operations: ['88-83=5']
Exploring Operation: 63-16=47, Resulting Numbers: [5, 47]
Generated Node #0,1,3: 42:[5, 47] Operation: 63-16=47
Moving to Node #0,1,3
Current State: 42:[5, 47], Operations: ['88-83=5', '63-16=47']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 0.954861 | hs_5 | sum_heuristic |
[
10,
21,
69,
13
] | 11 | [
"21-13=8",
"10*8=80",
"80-69=11"
] | Current State: 11:[10, 21, 69, 13], Operations: []
Exploring Operation: 21-13=8, Resulting Numbers: [10, 69, 8]
Generated Node #2: [10, 69, 8] from Operation: 21-13=8
Current State: 11:[10, 69, 8], Operations: ['21-13=8']
Exploring Operation: 10*8=80, Resulting Numbers: [69, 80]
Generated Node #3: [69, 80] from Operation: 10*8=80
Current State: 11:[69, 80], Operations: ['21-13=8', '10*8=80']
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[10, 21, 69, 13], Operations: []
Exploring Operation: 21-10=11, Resulting Numbers: [69, 13, 11]
Generated Node #0,0: 11:[69, 13, 11] Operation: 21-10=11
Exploring Operation: 69-21=48, Resulting Numbers: [10, 13, 48]
Generated Node #0,1: 11:[10, 13, 48] Operation: 69-21=48
Exploring Operation: 21-13=8, Resulting Numbers: [10, 69, 8]
Generated Node #0,2: 11:[10, 69, 8] Operation: 21-13=8
Exploring Operation: 69-10=59, Resulting Numbers: [21, 13, 59]
Generated Node #0,3: 11:[21, 13, 59] Operation: 69-10=59
Exploring Operation: 69-13=56, Resulting Numbers: [10, 21, 56]
Generated Node #0,4: 11:[10, 21, 56] Operation: 69-13=56
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[10, 13, 48], Operations: ['69-21=48']
Exploring Operation: 10+48=58, Resulting Numbers: [13, 58]
Generated Node #0,1,0: 11:[13, 58] Operation: 10+48=58
Exploring Operation: 10+13=23, Resulting Numbers: [48, 23]
Generated Node #0,1,1: 11:[48, 23] Operation: 10+13=23
Exploring Operation: 13-10=3, Resulting Numbers: [48, 3]
Generated Node #0,1,2: 11:[48, 3] Operation: 13-10=3
Exploring Operation: 48-13=35, Resulting Numbers: [10, 35]
Generated Node #0,1,3: 11:[10, 35] Operation: 48-13=35
Exploring Operation: 48-10=38, Resulting Numbers: [13, 38]
Generated Node #0,1,4: 11:[13, 38] Operation: 48-10=38
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 11:[10, 35], Operations: ['69-21=48', '48-13=35']
Exploring Operation: 10*35=350, Resulting Numbers: [350]
350,11 unequal: No Solution
Exploring Operation: 10+35=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,11 unequal: No Solution
No 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: 11:[13, 38], Operations: ['69-21=48', '48-10=38']
Exploring Operation: 13*38=494, Resulting Numbers: [494]
494,11 unequal: No Solution
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,11 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,11 unequal: No Solution
No 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: 11:[48, 3], Operations: ['69-21=48', '13-10=3']
Exploring Operation: 48*3=144, Resulting Numbers: [144]
144,11 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,11 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,11 unequal: No Solution
No 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: 11:[13, 58], Operations: ['69-21=48', '10+48=58']
Exploring Operation: 13*58=754, Resulting Numbers: [754]
754,11 unequal: No Solution
Exploring Operation: 58-13=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Exploring Operation: 13+58=71, Resulting Numbers: [71]
71,11 unequal: No Solution
No 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: 11:[48, 23], Operations: ['69-21=48', '10+13=23']
Exploring Operation: 48*23=1104, Resulting Numbers: [1104]
1104,11 unequal: No Solution
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 48+23=71, Resulting Numbers: [71]
71,11 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: 11:[10, 21, 56], Operations: ['69-13=56']
Exploring Operation: 21-10=11, Resulting Numbers: [56, 11]
Generated Node #0,4,0: 11:[56, 11] Operation: 21-10=11
Exploring Operation: 10+56=66, Resulting Numbers: [21, 66]
Generated Node #0,4,1: 11:[21, 66] Operation: 10+56=66
Exploring Operation: 56-21=35, Resulting Numbers: [10, 35]
Generated Node #0,4,2: 11:[10, 35] Operation: 56-21=35
Exploring Operation: 56-10=46, Resulting Numbers: [21, 46]
Generated Node #0,4,3: 11:[21, 46] Operation: 56-10=46
Exploring Operation: 10+21=31, Resulting Numbers: [56, 31]
Generated Node #0,4,4: 11:[56, 31] Operation: 10+21=31
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 11:[10, 35], Operations: ['69-13=56', '56-21=35']
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 10*35=350, Resulting Numbers: [350]
350,11 unequal: No Solution
Exploring Operation: 10+35=45, Resulting Numbers: [45]
45,11 unequal: No Solution
No 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: 11:[56, 11], Operations: ['69-13=56', '21-10=11']
Exploring Operation: 56*11=616, Resulting Numbers: [616]
616,11 unequal: No Solution
Exploring Operation: 56+11=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,11 unequal: No Solution
No 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: 11:[21, 46], Operations: ['69-13=56', '56-10=46']
Exploring Operation: 21*46=966, Resulting Numbers: [966]
966,11 unequal: No Solution
Exploring Operation: 21+46=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 46-21=25, Resulting Numbers: [25]
25,11 unequal: No Solution
No 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: 11:[21, 66], Operations: ['69-13=56', '10+56=66']
Exploring Operation: 66-21=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Exploring Operation: 21*66=1386, Resulting Numbers: [1386]
1386,11 unequal: No Solution
Exploring Operation: 21+66=87, Resulting Numbers: [87]
87,11 unequal: No Solution
No 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: 11:[56, 31], Operations: ['69-13=56', '10+21=31']
Exploring Operation: 56+31=87, Resulting Numbers: [87]
87,11 unequal: No Solution
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 56*31=1736, Resulting Numbers: [1736]
1736,11 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: 11:[69, 13, 11], Operations: ['21-10=11']
Exploring Operation: 69+13=82, Resulting Numbers: [11, 82]
Generated Node #0,0,0: 11:[11, 82] Operation: 69+13=82
Exploring Operation: 13-11=2, Resulting Numbers: [69, 2]
Generated Node #0,0,1: 11:[69, 2] Operation: 13-11=2
Exploring Operation: 69-11=58, Resulting Numbers: [13, 58]
Generated Node #0,0,2: 11:[13, 58] Operation: 69-11=58
Exploring Operation: 69-13=56, Resulting Numbers: [11, 56]
Generated Node #0,0,3: 11:[11, 56] Operation: 69-13=56
Exploring Operation: 69+11=80, Resulting Numbers: [13, 80]
Generated Node #0,0,4: 11:[13, 80] Operation: 69+11=80
Moving to Node #0,0,3
Current State: 11:[11, 56], Operations: ['21-10=11', '69-13=56']
Exploring Operation: 11+56=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 11*56=616, Resulting Numbers: [616]
616,11 unequal: No Solution
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Moving to Node #0,0,2
Current State: 11:[13, 58], Operations: ['21-10=11', '69-11=58']
Exploring Operation: 13*58=754, Resulting Numbers: [754]
754,11 unequal: No Solution
Exploring Operation: 58-13=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Exploring Operation: 13+58=71, Resulting Numbers: [71]
71,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[69, 2], Operations: ['21-10=11', '13-11=2']
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,11 unequal: No Solution
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 69*2=138, Resulting Numbers: [138]
138,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[11, 82], Operations: ['21-10=11', '69+13=82']
Exploring Operation: 11*82=902, Resulting Numbers: [902]
902,11 unequal: No Solution
Exploring Operation: 11+82=93, Resulting Numbers: [93]
93,11 unequal: No Solution
Exploring Operation: 82-11=71, Resulting Numbers: [71]
71,11 unequal: No Solution
Moving to Node #0,0,4
Current State: 11:[13, 80], Operations: ['21-10=11', '69+11=80']
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 13+80=93, Resulting Numbers: [93]
93,11 unequal: No Solution
Exploring Operation: 13*80=1040, Resulting Numbers: [1040]
1040,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 11:[21, 13, 59], Operations: ['69-10=59']
Exploring Operation: 59-13=46, Resulting Numbers: [21, 46]
Generated Node #0,3,0: 11:[21, 46] Operation: 59-13=46
Exploring Operation: 21-13=8, Resulting Numbers: [59, 8]
Generated Node #0,3,1: 11:[59, 8] Operation: 21-13=8
Exploring Operation: 59-21=38, Resulting Numbers: [13, 38]
Generated Node #0,3,2: 11:[13, 38] Operation: 59-21=38
Exploring Operation: 21+59=80, Resulting Numbers: [13, 80]
Generated Node #0,3,3: 11:[13, 80] Operation: 21+59=80
Exploring Operation: 21+13=34, Resulting Numbers: [59, 34]
Generated Node #0,3,4: 11:[59, 34] Operation: 21+13=34
Moving to Node #0,3,2
Current State: 11:[13, 38], Operations: ['69-10=59', '59-21=38']
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 13*38=494, Resulting Numbers: [494]
494,11 unequal: No Solution
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,11 unequal: No Solution
Moving to Node #0,3,0
Current State: 11:[21, 46], Operations: ['69-10=59', '59-13=46']
Exploring Operation: 21*46=966, Resulting Numbers: [966]
966,11 unequal: No Solution
Exploring Operation: 21+46=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 46-21=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Moving to Node #0,3,1
Current State: 11:[59, 8], Operations: ['69-10=59', '21-13=8']
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,11 unequal: No Solution
Exploring Operation: 59*8=472, Resulting Numbers: [472]
472,11 unequal: No Solution
Exploring Operation: 59+8=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Moving to Node #0,3,3
Current State: 11:[13, 80], Operations: ['69-10=59', '21+59=80']
Exploring Operation: 13*80=1040, Resulting Numbers: [1040]
1040,11 unequal: No Solution
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 13+80=93, Resulting Numbers: [93]
93,11 unequal: No Solution
Moving to Node #0,3,4
Current State: 11:[59, 34], Operations: ['69-10=59', '21+13=34']
Exploring Operation: 59+34=93, Resulting Numbers: [93]
93,11 unequal: No Solution
Exploring Operation: 59-34=25, Resulting Numbers: [25]
25,11 unequal: No Solution
Exploring Operation: 59*34=2006, Resulting Numbers: [2006]
2006,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 11:[10, 69, 8], Operations: ['21-13=8']
Exploring Operation: 10+8=18, Resulting Numbers: [69, 18]
Generated Node #0,2,0: 11:[69, 18] Operation: 10+8=18
Exploring Operation: 69+8=77, Resulting Numbers: [10, 77]
Generated Node #0,2,1: 11:[10, 77] Operation: 69+8=77
Exploring Operation: 10-8=2, Resulting Numbers: [69, 2]
Generated Node #0,2,2: 11:[69, 2] Operation: 10-8=2
Exploring Operation: 69-10=59, Resulting Numbers: [8, 59]
Generated Node #0,2,3: 11:[8, 59] Operation: 69-10=59
Exploring Operation: 69-8=61, Resulting Numbers: [10, 61]
Generated Node #0,2,4: 11:[10, 61] Operation: 69-8=61
Moving to Node #0,2,3
Current State: 11:[8, 59], Operations: ['21-13=8', '69-10=59']
Exploring Operation: 8+59=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,11 unequal: No Solution
Exploring Operation: 8*59=472, Resulting Numbers: [472]
472,11 unequal: No Solution
Moving to Node #0,2,4
Current State: 11:[10, 61], Operations: ['21-13=8', '69-8=61']
Exploring Operation: 10*61=610, Resulting Numbers: [610]
610,11 unequal: No Solution
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,11 unequal: No Solution
Exploring Operation: 10+61=71, Resulting Numbers: [71]
71,11 unequal: No Solution
Moving to Node #0,2,0
Current State: 11:[69, 18], Operations: ['21-13=8', '10+8=18']
Exploring Operation: 69+18=87, Resulting Numbers: [87]
87,11 unequal: No Solution
Exploring Operation: 69*18=1242, Resulting Numbers: [1242]
1242,11 unequal: No Solution
Exploring Operation: 69-18=51, Resulting Numbers: [51]
51,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[10, 77], Operations: ['21-13=8', '69+8=77']
Exploring Operation: 77-10=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 10+77=87, Resulting Numbers: [87]
87,11 unequal: No Solution
Exploring Operation: 10*77=770, Resulting Numbers: [770]
770,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[69, 2], Operations: ['21-13=8', '10-8=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 69*2=138, Resulting Numbers: [138]
138,11 unequal: No Solution
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,11 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 |
[
14,
13,
23,
21
] | 20 | [
"23-21=2",
"14/2=7",
"13+7=20"
] | Current State: 20:[14, 13, 23, 21], Operations: []
Exploring Operation: 23-21=2, Resulting Numbers: [14, 13, 2]
Generated Node #2: [14, 13, 2] from Operation: 23-21=2
Current State: 20:[14, 13, 2], Operations: ['23-21=2']
Exploring Operation: 14/2=7, Resulting Numbers: [13, 7]
Generated Node #3: [13, 7] from Operation: 14/2=7
Current State: 20:[13, 7], Operations: ['23-21=2', '14/2=7']
Exploring Operation: 13+7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[14, 13, 23, 21], Operations: []
Exploring Operation: 14-13=1, Resulting Numbers: [23, 21, 1]
Generated Node #0,0: 20:[23, 21, 1] Operation: 14-13=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[23, 21, 1], Operations: ['14-13=1']
Exploring Operation: 23-21=2, Resulting Numbers: [1, 2]
Generated Node #0,0,0: 20:[1, 2] Operation: 23-21=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 20:[1, 2], Operations: ['14-13=1', '23-21=2']
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,20 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 |
[
11,
92,
32,
44
] | 18 | [
"11*44=484",
"92+484=576",
"576/32=18"
] | Current State: 18:[11, 92, 32, 44], Operations: []
Exploring Operation: 11*44=484, Resulting Numbers: [92, 32, 484]
Generated Node #2: [92, 32, 484] from Operation: 11*44=484
Current State: 18:[92, 32, 484], Operations: ['11*44=484']
Exploring Operation: 92+484=576, Resulting Numbers: [32, 576]
Generated Node #3: [32, 576] from Operation: 92+484=576
Current State: 18:[32, 576], Operations: ['11*44=484', '92+484=576']
Exploring Operation: 576/32=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[11, 92, 32, 44], Operations: []
Exploring Operation: 44-32=12, Resulting Numbers: [11, 92, 12]
Generated Node #0,0: 18:[11, 92, 12] Operation: 44-32=12
Exploring Operation: 92-44=48, Resulting Numbers: [11, 32, 48]
Generated Node #0,1: 18:[11, 32, 48] Operation: 92-44=48
Exploring Operation: 44/11=4, Resulting Numbers: [92, 32, 4]
Generated Node #0,2: 18:[92, 32, 4] Operation: 44/11=4
Exploring Operation: 92-32=60, Resulting Numbers: [11, 44, 60]
Generated Node #0,3: 18:[11, 44, 60] Operation: 92-32=60
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[11, 32, 48], Operations: ['92-44=48']
Exploring Operation: 48-11=37, Resulting Numbers: [32, 37]
Generated Node #0,1,0: 18:[32, 37] Operation: 48-11=37
Exploring Operation: 11+32=43, Resulting Numbers: [48, 43]
Generated Node #0,1,1: 18:[48, 43] Operation: 11+32=43
Exploring Operation: 48-32=16, Resulting Numbers: [11, 16]
Generated Node #0,1,2: 18:[11, 16] Operation: 48-32=16
Exploring Operation: 32-11=21, Resulting Numbers: [48, 21]
Generated Node #0,1,3: 18:[48, 21] Operation: 32-11=21
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 18:[11, 16], Operations: ['92-44=48', '48-32=16']
Exploring Operation: 11+16=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 11*16=176, Resulting Numbers: [176]
176,18 unequal: No Solution
No 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: 18:[32, 37], Operations: ['92-44=48', '48-11=37']
Exploring Operation: 32+37=69, Resulting Numbers: [69]
69,18 unequal: No Solution
Exploring Operation: 32*37=1184, Resulting Numbers: [1184]
1184,18 unequal: No Solution
Exploring Operation: 37-32=5, Resulting Numbers: [5]
5,18 unequal: No Solution
No 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: 18:[48, 21], Operations: ['92-44=48', '32-11=21']
Exploring Operation: 48-21=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 48*21=1008, Resulting Numbers: [1008]
1008,18 unequal: No Solution
Exploring Operation: 48+21=69, Resulting Numbers: [69]
69,18 unequal: No Solution
No 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: 18:[48, 43], Operations: ['92-44=48', '11+32=43']
Exploring Operation: 48+43=91, Resulting Numbers: [91]
91,18 unequal: No Solution
Exploring Operation: 48-43=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 48*43=2064, Resulting Numbers: [2064]
2064,18 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: 18:[11, 44, 60], Operations: ['92-32=60']
Exploring Operation: 60-44=16, Resulting Numbers: [11, 16]
Generated Node #0,3,0: 18:[11, 16] Operation: 60-44=16
Exploring Operation: 60-11=49, Resulting Numbers: [44, 49]
Generated Node #0,3,1: 18:[44, 49] Operation: 60-11=49
Exploring Operation: 44-11=33, Resulting Numbers: [60, 33]
Generated Node #0,3,2: 18:[60, 33] Operation: 44-11=33
Exploring Operation: 44/11=4, Resulting Numbers: [60, 4]
Generated Node #0,3,3: 18:[60, 4] Operation: 44/11=4
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 18:[11, 16], Operations: ['92-32=60', '60-44=16']
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 11+16=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 11*16=176, Resulting Numbers: [176]
176,18 unequal: No Solution
No 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: 18:[60, 4], Operations: ['92-32=60', '44/11=4']
Exploring Operation: 60+4=64, Resulting Numbers: [64]
64,18 unequal: No Solution
Exploring Operation: 60*4=240, Resulting Numbers: [240]
240,18 unequal: No Solution
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,18 unequal: No Solution
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,18 unequal: No Solution
No 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: 18:[44, 49], Operations: ['92-32=60', '60-11=49']
Exploring Operation: 49-44=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 44+49=93, Resulting Numbers: [93]
93,18 unequal: No Solution
Exploring Operation: 44*49=2156, Resulting Numbers: [2156]
2156,18 unequal: No Solution
No 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: 18:[60, 33], Operations: ['92-32=60', '44-11=33']
Exploring Operation: 60+33=93, Resulting Numbers: [93]
93,18 unequal: No Solution
Exploring Operation: 60-33=27, Resulting Numbers: [27]
27,18 unequal: No Solution
Exploring Operation: 60*33=1980, Resulting Numbers: [1980]
1980,18 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: 18:[11, 92, 12], Operations: ['44-32=12']
Exploring Operation: 92-11=81, Resulting Numbers: [12, 81]
Generated Node #0,0,0: 18:[12, 81] Operation: 92-11=81
Exploring Operation: 92-12=80, Resulting Numbers: [11, 80]
Generated Node #0,0,1: 18:[11, 80] Operation: 92-12=80
Exploring Operation: 12-11=1, Resulting Numbers: [92, 1]
Generated Node #0,0,2: 18:[92, 1] Operation: 12-11=1
Exploring Operation: 11+12=23, Resulting Numbers: [92, 23]
Generated Node #0,0,3: 18:[92, 23] Operation: 11+12=23
Moving to Node #0,0,1
Current State: 18:[11, 80], Operations: ['44-32=12', '92-12=80']
Exploring Operation: 11+80=91, Resulting Numbers: [91]
91,18 unequal: No Solution
Exploring Operation: 11*80=880, Resulting Numbers: [880]
880,18 unequal: No Solution
Exploring Operation: 80-11=69, Resulting Numbers: [69]
69,18 unequal: No Solution
Moving to Node #0,0,0
Current State: 18:[12, 81], Operations: ['44-32=12', '92-11=81']
Exploring Operation: 12*81=972, Resulting Numbers: [972]
972,18 unequal: No Solution
Exploring Operation: 81-12=69, Resulting Numbers: [69]
69,18 unequal: No Solution
Exploring Operation: 12+81=93, Resulting Numbers: [93]
93,18 unequal: No Solution
Moving to Node #0,0,2
Current State: 18:[92, 1], Operations: ['44-32=12', '12-11=1']
Exploring Operation: 92+1=93, Resulting Numbers: [93]
93,18 unequal: No Solution
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,18 unequal: No Solution
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,18 unequal: No Solution
Exploring Operation: 92/1=92, Resulting Numbers: [92]
92,18 unequal: No Solution
Moving to Node #0,0,3
Current State: 18:[92, 23], Operations: ['44-32=12', '11+12=23']
Exploring Operation: 92/23=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 92*23=2116, Resulting Numbers: [2116]
2116,18 unequal: No Solution
Exploring Operation: 92-23=69, Resulting Numbers: [69]
69,18 unequal: No Solution
Exploring Operation: 92+23=115, Resulting Numbers: [115]
115,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 18:[92, 32, 4], Operations: ['44/11=4']
Exploring Operation: 92-32=60, Resulting Numbers: [4, 60]
Generated Node #0,2,0: 18:[4, 60] Operation: 92-32=60
Exploring Operation: 92/4=23, Resulting Numbers: [32, 23]
Generated Node #0,2,1: 18:[32, 23] Operation: 92/4=23
Exploring Operation: 32/4=8, Resulting Numbers: [92, 8]
Generated Node #0,2,2: 18:[92, 8] Operation: 32/4=8
Exploring Operation: 92-4=88, Resulting Numbers: [32, 88]
Generated Node #0,2,3: 18:[32, 88] Operation: 92-4=88
Moving to Node #0,2,1
Current State: 18:[32, 23], Operations: ['44/11=4', '92/4=23']
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,18 unequal: No Solution
Exploring Operation: 32*23=736, Resulting Numbers: [736]
736,18 unequal: No Solution
Exploring Operation: 32+23=55, Resulting Numbers: [55]
55,18 unequal: No Solution
Moving to Node #0,2,0
Current State: 18:[4, 60], Operations: ['44/11=4', '92-32=60']
Exploring Operation: 4*60=240, Resulting Numbers: [240]
240,18 unequal: No Solution
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,18 unequal: No Solution
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,18 unequal: No Solution
Exploring Operation: 4+60=64, Resulting Numbers: [64]
64,18 unequal: No Solution
Moving to Node #0,2,2
Current State: 18:[92, 8], Operations: ['44/11=4', '32/4=8']
Exploring Operation: 92*8=736, Resulting Numbers: [736]
736,18 unequal: No Solution
Exploring Operation: 92-8=84, Resulting Numbers: [84]
84,18 unequal: No Solution
Exploring Operation: 92+8=100, Resulting Numbers: [100]
100,18 unequal: No Solution
Moving to Node #0,2,3
Current State: 18:[32, 88], Operations: ['44/11=4', '92-4=88']
Exploring Operation: 32*88=2816, Resulting Numbers: [2816]
2816,18 unequal: No Solution
Exploring Operation: 88-32=56, Resulting Numbers: [56]
56,18 unequal: No Solution
Exploring Operation: 32+88=120, Resulting Numbers: [120]
120,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
19,
3,
99,
39
] | 38 | [
"19+3=22",
"99-39=60",
"60-22=38"
] | Current State: 38:[19, 3, 99, 39], Operations: []
Exploring Operation: 19+3=22, Resulting Numbers: [99, 39, 22]
Generated Node #2: [99, 39, 22] from Operation: 19+3=22
Current State: 38:[99, 39, 22], Operations: ['19+3=22']
Exploring Operation: 99-39=60, Resulting Numbers: [22, 60]
Generated Node #3: [22, 60] from Operation: 99-39=60
Current State: 38:[22, 60], Operations: ['19+3=22', '99-39=60']
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[19, 3, 99, 39], Operations: []
Exploring Operation: 99-39=60, Resulting Numbers: [19, 3, 60]
Generated Node #0,0: 38:[19, 3, 60] Operation: 99-39=60
Exploring Operation: 99-19=80, Resulting Numbers: [3, 39, 80]
Generated Node #0,1: 38:[3, 39, 80] Operation: 99-19=80
Exploring Operation: 99/3=33, Resulting Numbers: [19, 39, 33]
Generated Node #0,2: 38:[19, 39, 33] Operation: 99/3=33
Moving to Node #0,2
Current State: 38:[19, 39, 33], Operations: ['99/3=33']
Exploring Operation: 33-19=14, Resulting Numbers: [39, 14]
Generated Node #0,2,0: 38:[39, 14] Operation: 33-19=14
Exploring Operation: 39-19=20, Resulting Numbers: [33, 20]
Generated Node #0,2,1: 38:[33, 20] Operation: 39-19=20
Exploring Operation: 39-33=6, Resulting Numbers: [19, 6]
Generated Node #0,2,2: 38:[19, 6] Operation: 39-33=6
Moving to Node #0,0
Current State: 38:[19, 3, 60], Operations: ['99-39=60']
Exploring Operation: 60-19=41, Resulting Numbers: [3, 41]
Generated Node #0,0,0: 38:[3, 41] Operation: 60-19=41
Exploring Operation: 60-3=57, Resulting Numbers: [19, 57]
Generated Node #0,0,1: 38:[19, 57] Operation: 60-3=57
Exploring Operation: 60/3=20, Resulting Numbers: [19, 20]
Generated Node #0,0,2: 38:[19, 20] Operation: 60/3=20
Moving to Node #0,1
Current State: 38:[3, 39, 80], Operations: ['99-19=80']
Exploring Operation: 39-3=36, Resulting Numbers: [80, 36]
Generated Node #0,1,0: 38:[80, 36] Operation: 39-3=36
Exploring Operation: 80-39=41, Resulting Numbers: [3, 41]
Generated Node #0,1,1: 38:[3, 41] Operation: 80-39=41
Exploring Operation: 80-3=77, Resulting Numbers: [39, 77]
Generated Node #0,1,2: 38:[39, 77] Operation: 80-3=77
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 38:[3, 41], Operations: ['99-19=80', '80-39=41']
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,38 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[19, 3, 99, 39], Operations: []
Exploring Operation: 99-19=80, Resulting Numbers: [3, 39, 80]
Generated Node #0,1: 38:[3, 39, 80] Operation: 99-19=80
Moving to Node #0,1
Current State: 38:[3, 39, 80], Operations: ['99-19=80']
Exploring Operation: 80-39=41, Resulting Numbers: [3, 41]
Generated Node #0,1,1: 38:[3, 41] Operation: 80-39=41
Moving to Node #0,1,1
Current State: 38:[3, 41], Operations: ['99-19=80', '80-39=41']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
40,
59,
8,
3
] | 61 | [
"40/8=5",
"59-3=56",
"5+56=61"
] | Current State: 61:[40, 59, 8, 3], Operations: []
Exploring Operation: 40/8=5, Resulting Numbers: [59, 3, 5]
Generated Node #2: [59, 3, 5] from Operation: 40/8=5
Current State: 61:[59, 3, 5], Operations: ['40/8=5']
Exploring Operation: 59-3=56, Resulting Numbers: [5, 56]
Generated Node #3: [5, 56] from Operation: 59-3=56
Current State: 61:[5, 56], Operations: ['40/8=5', '59-3=56']
Exploring Operation: 5+56=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[40, 59, 8, 3], Operations: []
Exploring Operation: 40+8=48, Resulting Numbers: [59, 3, 48]
Generated Node #0,0: 61:[59, 3, 48] Operation: 40+8=48
Exploring Operation: 40+3=43, Resulting Numbers: [59, 8, 43]
Generated Node #0,1: 61:[59, 8, 43] Operation: 40+3=43
Exploring Operation: 8+3=11, Resulting Numbers: [40, 59, 11]
Generated Node #0,2: 61:[40, 59, 11] Operation: 8+3=11
Exploring Operation: 8*3=24, Resulting Numbers: [40, 59, 24]
Generated Node #0,3: 61:[40, 59, 24] Operation: 8*3=24
Start Sub Search at level 1: Moving to Node #0,3
Current State: 61:[40, 59, 24], Operations: ['8*3=24']
Exploring Operation: 59+24=83, Resulting Numbers: [40, 83]
Generated Node #0,3,0: 61:[40, 83] Operation: 59+24=83
Exploring Operation: 59-24=35, Resulting Numbers: [40, 35]
Generated Node #0,3,1: 61:[40, 35] Operation: 59-24=35
Exploring Operation: 40+24=64, Resulting Numbers: [59, 64]
Generated Node #0,3,2: 61:[59, 64] Operation: 40+24=64
Exploring Operation: 40-24=16, Resulting Numbers: [59, 16]
Generated Node #0,3,3: 61:[59, 16] Operation: 40-24=16
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 61:[59, 64], Operations: ['8*3=24', '40+24=64']
Exploring Operation: 59*64=3776, Resulting Numbers: [3776]
3776,61 unequal: No Solution
Exploring Operation: 59+64=123, Resulting Numbers: [123]
123,61 unequal: No Solution
Exploring Operation: 64-59=5, Resulting Numbers: [5]
5,61 unequal: No Solution
No 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: 61:[40, 83], Operations: ['8*3=24', '59+24=83']
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,61 unequal: No Solution
Exploring Operation: 40+83=123, Resulting Numbers: [123]
123,61 unequal: No Solution
Exploring Operation: 40*83=3320, Resulting Numbers: [3320]
3320,61 unequal: No Solution
No 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: 61:[40, 35], Operations: ['8*3=24', '59-24=35']
Exploring Operation: 40*35=1400, Resulting Numbers: [1400]
1400,61 unequal: No Solution
Exploring Operation: 40+35=75, Resulting Numbers: [75]
75,61 unequal: No Solution
Exploring Operation: 40-35=5, Resulting Numbers: [5]
5,61 unequal: No Solution
No 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: 61:[59, 16], Operations: ['8*3=24', '40-24=16']
Exploring Operation: 59*16=944, Resulting Numbers: [944]
944,61 unequal: No Solution
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,61 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,61 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: 61:[59, 3, 48], Operations: ['40+8=48']
Exploring Operation: 3+48=51, Resulting Numbers: [59, 51]
Generated Node #0,0,0: 61:[59, 51] Operation: 3+48=51
Exploring Operation: 59+3=62, Resulting Numbers: [48, 62]
Generated Node #0,0,1: 61:[48, 62] Operation: 59+3=62
Exploring Operation: 48-3=45, Resulting Numbers: [59, 45]
Generated Node #0,0,2: 61:[59, 45] Operation: 48-3=45
Exploring Operation: 59-3=56, Resulting Numbers: [48, 56]
Generated Node #0,0,3: 61:[48, 56] Operation: 59-3=56
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[59, 51], Operations: ['40+8=48', '3+48=51']
Exploring Operation: 59-51=8, Resulting Numbers: [8]
8,61 unequal: No Solution
Exploring Operation: 59+51=110, Resulting Numbers: [110]
110,61 unequal: No Solution
Exploring Operation: 59*51=3009, Resulting Numbers: [3009]
3009,61 unequal: No Solution
No 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: 61:[48, 62], Operations: ['40+8=48', '59+3=62']
Exploring Operation: 62-48=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 48+62=110, Resulting Numbers: [110]
110,61 unequal: No Solution
Exploring Operation: 48*62=2976, Resulting Numbers: [2976]
2976,61 unequal: No Solution
No 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: 61:[59, 45], Operations: ['40+8=48', '48-3=45']
Exploring Operation: 59+45=104, Resulting Numbers: [104]
104,61 unequal: No Solution
Exploring Operation: 59-45=14, Resulting Numbers: [14]
14,61 unequal: No Solution
Exploring Operation: 59*45=2655, Resulting Numbers: [2655]
2655,61 unequal: No Solution
No 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: 61:[48, 56], Operations: ['40+8=48', '59-3=56']
Exploring Operation: 48+56=104, Resulting Numbers: [104]
104,61 unequal: No Solution
Exploring Operation: 56-48=8, Resulting Numbers: [8]
8,61 unequal: No Solution
Exploring Operation: 48*56=2688, Resulting Numbers: [2688]
2688,61 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: 61:[59, 8, 43], Operations: ['40+3=43']
Exploring Operation: 43-8=35, Resulting Numbers: [59, 35]
Generated Node #0,1,0: 61:[59, 35] Operation: 43-8=35
Exploring Operation: 59+8=67, Resulting Numbers: [43, 67]
Generated Node #0,1,1: 61:[43, 67] Operation: 59+8=67
Exploring Operation: 59-8=51, Resulting Numbers: [43, 51]
Generated Node #0,1,2: 61:[43, 51] Operation: 59-8=51
Exploring Operation: 8+43=51, Resulting Numbers: [59, 51]
Generated Node #0,1,3: 61:[59, 51] Operation: 8+43=51
Moving to Node #0,1,3
Current State: 61:[59, 51], Operations: ['40+3=43', '8+43=51']
Exploring Operation: 59*51=3009, Resulting Numbers: [3009]
3009,61 unequal: No Solution
Exploring Operation: 59+51=110, Resulting Numbers: [110]
110,61 unequal: No Solution
Exploring Operation: 59-51=8, Resulting Numbers: [8]
8,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[43, 67], Operations: ['40+3=43', '59+8=67']
Exploring Operation: 67-43=24, Resulting Numbers: [24]
24,61 unequal: No Solution
Exploring Operation: 43+67=110, Resulting Numbers: [110]
110,61 unequal: No Solution
Exploring Operation: 43*67=2881, Resulting Numbers: [2881]
2881,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[43, 51], Operations: ['40+3=43', '59-8=51']
Exploring Operation: 43*51=2193, Resulting Numbers: [2193]
2193,61 unequal: No Solution
Exploring Operation: 43+51=94, Resulting Numbers: [94]
94,61 unequal: No Solution
Exploring Operation: 51-43=8, Resulting Numbers: [8]
8,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[59, 35], Operations: ['40+3=43', '43-8=35']
Exploring Operation: 59-35=24, Resulting Numbers: [24]
24,61 unequal: No Solution
Exploring Operation: 59*35=2065, Resulting Numbers: [2065]
2065,61 unequal: No Solution
Exploring Operation: 59+35=94, Resulting Numbers: [94]
94,61 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
Current State: 61:[40, 59, 11], Operations: ['8+3=11']
Exploring Operation: 59-11=48, Resulting Numbers: [40, 48]
Generated Node #0,2,0: 61:[40, 48] Operation: 59-11=48
Exploring Operation: 40+11=51, Resulting Numbers: [59, 51]
Generated Node #0,2,1: 61:[59, 51] Operation: 40+11=51
Exploring Operation: 59+11=70, Resulting Numbers: [40, 70]
Generated Node #0,2,2: 61:[40, 70] Operation: 59+11=70
Exploring Operation: 40-11=29, Resulting Numbers: [59, 29]
Generated Node #0,2,3: 61:[59, 29] Operation: 40-11=29
Moving to Node #0,2,1
Current State: 61:[59, 51], Operations: ['8+3=11', '40+11=51']
Exploring Operation: 59-51=8, Resulting Numbers: [8]
8,61 unequal: No Solution
Exploring Operation: 59*51=3009, Resulting Numbers: [3009]
3009,61 unequal: No Solution
Exploring Operation: 59+51=110, Resulting Numbers: [110]
110,61 unequal: No Solution
Moving to Node #0,2,2
Current State: 61:[40, 70], Operations: ['8+3=11', '59+11=70']
Exploring Operation: 40+70=110, Resulting Numbers: [110]
110,61 unequal: No Solution
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,61 unequal: No Solution
Exploring Operation: 40*70=2800, Resulting Numbers: [2800]
2800,61 unequal: No Solution
Moving to Node #0,2,3
Current State: 61:[59, 29], Operations: ['8+3=11', '40-11=29']
Exploring Operation: 59+29=88, Resulting Numbers: [88]
88,61 unequal: No Solution
Exploring Operation: 59*29=1711, Resulting Numbers: [1711]
1711,61 unequal: No Solution
Exploring Operation: 59-29=30, Resulting Numbers: [30]
30,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[40, 48], Operations: ['8+3=11', '59-11=48']
Exploring Operation: 48-40=8, Resulting Numbers: [8]
8,61 unequal: No Solution
Exploring Operation: 40+48=88, Resulting Numbers: [88]
88,61 unequal: No Solution
Exploring Operation: 40*48=1920, Resulting Numbers: [1920]
1920,61 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 |
[
72,
63,
61,
51
] | 15 | [
"63-61=2",
"72/2=36",
"51-36=15"
] | Current State: 15:[72, 63, 61, 51], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [72, 51, 2]
Generated Node #2: [72, 51, 2] from Operation: 63-61=2
Current State: 15:[72, 51, 2], Operations: ['63-61=2']
Exploring Operation: 72/2=36, Resulting Numbers: [51, 36]
Generated Node #3: [51, 36] from Operation: 72/2=36
Current State: 15:[51, 36], Operations: ['63-61=2', '72/2=36']
Exploring Operation: 51-36=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[72, 63, 61, 51], Operations: []
Exploring Operation: 63-51=12, Resulting Numbers: [72, 61, 12]
Generated Node #0,0: 15:[72, 61, 12] Operation: 63-51=12
Exploring Operation: 72-63=9, Resulting Numbers: [61, 51, 9]
Generated Node #0,1: 15:[61, 51, 9] Operation: 72-63=9
Exploring Operation: 63-61=2, Resulting Numbers: [72, 51, 2]
Generated Node #0,2: 15:[72, 51, 2] Operation: 63-61=2
Exploring Operation: 72-61=11, Resulting Numbers: [63, 51, 11]
Generated Node #0,3: 15:[63, 51, 11] Operation: 72-61=11
Exploring Operation: 72-51=21, Resulting Numbers: [63, 61, 21]
Generated Node #0,4: 15:[63, 61, 21] Operation: 72-51=21
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[61, 51, 9], Operations: ['72-63=9']
Exploring Operation: 61+9=70, Resulting Numbers: [51, 70]
Generated Node #0,1,0: 15:[51, 70] Operation: 61+9=70
Exploring Operation: 51+9=60, Resulting Numbers: [61, 60]
Generated Node #0,1,1: 15:[61, 60] Operation: 51+9=60
Exploring Operation: 51-9=42, Resulting Numbers: [61, 42]
Generated Node #0,1,2: 15:[61, 42] Operation: 51-9=42
Exploring Operation: 61-51=10, Resulting Numbers: [9, 10]
Generated Node #0,1,3: 15:[9, 10] Operation: 61-51=10
Exploring Operation: 61-9=52, Resulting Numbers: [51, 52]
Generated Node #0,1,4: 15:[51, 52] Operation: 61-9=52
Moving to Node #0,1,3
Current State: 15:[9, 10], Operations: ['72-63=9', '61-51=10']
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,15 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Moving to Node #0,1,4
Current State: 15:[51, 52], Operations: ['72-63=9', '61-9=52']
Exploring Operation: 52-51=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 51*52=2652, Resulting Numbers: [2652]
2652,15 unequal: No Solution
Exploring Operation: 51+52=103, Resulting Numbers: [103]
103,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[61, 42], Operations: ['72-63=9', '51-9=42']
Exploring Operation: 61*42=2562, Resulting Numbers: [2562]
2562,15 unequal: No Solution
Exploring Operation: 61+42=103, Resulting Numbers: [103]
103,15 unequal: No Solution
Exploring Operation: 61-42=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[51, 70], Operations: ['72-63=9', '61+9=70']
Exploring Operation: 51+70=121, Resulting Numbers: [121]
121,15 unequal: No Solution
Exploring Operation: 70-51=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 51*70=3570, Resulting Numbers: [3570]
3570,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[61, 60], Operations: ['72-63=9', '51+9=60']
Exploring Operation: 61-60=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 61+60=121, Resulting Numbers: [121]
121,15 unequal: No Solution
Exploring Operation: 61*60=3660, Resulting Numbers: [3660]
3660,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 15:[63, 51, 11], Operations: ['72-61=11']
Exploring Operation: 63+11=74, Resulting Numbers: [51, 74]
Generated Node #0,3,0: 15:[51, 74] Operation: 63+11=74
Exploring Operation: 63-11=52, Resulting Numbers: [51, 52]
Generated Node #0,3,1: 15:[51, 52] Operation: 63-11=52
Exploring Operation: 51-11=40, Resulting Numbers: [63, 40]
Generated Node #0,3,2: 15:[63, 40] Operation: 51-11=40
Exploring Operation: 51+11=62, Resulting Numbers: [63, 62]
Generated Node #0,3,3: 15:[63, 62] Operation: 51+11=62
Exploring Operation: 63-51=12, Resulting Numbers: [11, 12]
Generated Node #0,3,4: 15:[11, 12] Operation: 63-51=12
Moving to Node #0,3,4
Current State: 15:[11, 12], Operations: ['72-61=11', '63-51=12']
Exploring Operation: 11*12=132, Resulting Numbers: [132]
132,15 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 11+12=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Moving to Node #0,3,2
Current State: 15:[63, 40], Operations: ['72-61=11', '51-11=40']
Exploring Operation: 63-40=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 63+40=103, Resulting Numbers: [103]
103,15 unequal: No Solution
Exploring Operation: 63*40=2520, Resulting Numbers: [2520]
2520,15 unequal: No Solution
Moving to Node #0,3,1
Current State: 15:[51, 52], Operations: ['72-61=11', '63-11=52']
Exploring Operation: 51*52=2652, Resulting Numbers: [2652]
2652,15 unequal: No Solution
Exploring Operation: 52-51=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 51+52=103, Resulting Numbers: [103]
103,15 unequal: No Solution
Moving to Node #0,3,0
Current State: 15:[51, 74], Operations: ['72-61=11', '63+11=74']
Exploring Operation: 51+74=125, Resulting Numbers: [125]
125,15 unequal: No Solution
Exploring Operation: 74-51=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 51*74=3774, Resulting Numbers: [3774]
3774,15 unequal: No Solution
Moving to Node #0,3,3
Current State: 15:[63, 62], Operations: ['72-61=11', '51+11=62']
Exploring Operation: 63-62=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Exploring Operation: 63+62=125, Resulting Numbers: [125]
125,15 unequal: No Solution
Exploring Operation: 63*62=3906, Resulting Numbers: [3906]
3906,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[72, 51, 2], Operations: ['63-61=2']
Exploring Operation: 72+2=74, Resulting Numbers: [51, 74]
Generated Node #0,2,0: 15:[51, 74] Operation: 72+2=74
Exploring Operation: 72/2=36, Resulting Numbers: [51, 36]
Generated Node #0,2,1: 15:[51, 36] Operation: 72/2=36
Exploring Operation: 72-51=21, Resulting Numbers: [2, 21]
Generated Node #0,2,2: 15:[2, 21] Operation: 72-51=21
Exploring Operation: 72-2=70, Resulting Numbers: [51, 70]
Generated Node #0,2,3: 15:[51, 70] Operation: 72-2=70
Exploring Operation: 51-2=49, Resulting Numbers: [72, 49]
Generated Node #0,2,4: 15:[72, 49] Operation: 51-2=49
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 15:[2, 21], Operations: ['63-61=2', '72-51=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,15 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,15 unequal: No Solution
No 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: 15:[51, 36], Operations: ['63-61=2', '72/2=36']
Exploring Operation: 51+36=87, Resulting Numbers: [87]
87,15 unequal: No Solution
Exploring Operation: 51*36=1836, Resulting Numbers: [1836]
1836,15 unequal: No Solution
Exploring Operation: 51-36=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[72, 63, 61, 51], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [72, 51, 2]
Generated Node #0,2: 15:[72, 51, 2] Operation: 63-61=2
Moving to Node #0,2
Current State: 15:[72, 51, 2], Operations: ['63-61=2']
Exploring Operation: 72/2=36, Resulting Numbers: [51, 36]
Generated Node #0,2,1: 15:[51, 36] Operation: 72/2=36
Moving to Node #0,2,1
Current State: 15:[51, 36], Operations: ['63-61=2', '72/2=36']
Exploring Operation: 51-36=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.947917 | hs_5 | sum_heuristic |
[
94,
69,
3,
14
] | 89 | [
"94-69=25",
"3*25=75",
"14+75=89"
] | Current State: 89:[94, 69, 3, 14], Operations: []
Exploring Operation: 94-69=25, Resulting Numbers: [3, 14, 25]
Generated Node #2: [3, 14, 25] from Operation: 94-69=25
Current State: 89:[3, 14, 25], Operations: ['94-69=25']
Exploring Operation: 3*25=75, Resulting Numbers: [14, 75]
Generated Node #3: [14, 75] from Operation: 3*25=75
Current State: 89:[14, 75], Operations: ['94-69=25', '3*25=75']
Exploring Operation: 14+75=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[94, 69, 3, 14], Operations: []
Exploring Operation: 3*14=42, Resulting Numbers: [94, 69, 42]
Generated Node #0,0: 89:[94, 69, 42] Operation: 3*14=42
Exploring Operation: 94-3=91, Resulting Numbers: [69, 14, 91]
Generated Node #0,1: 89:[69, 14, 91] Operation: 94-3=91
Moving to Node #0,0
Current State: 89:[94, 69, 42], Operations: ['3*14=42']
Exploring Operation: 94-42=52, Resulting Numbers: [69, 52]
Generated Node #0,0,0: 89:[69, 52] Operation: 94-42=52
Exploring Operation: 69+42=111, Resulting Numbers: [94, 111]
Generated Node #0,0,1: 89:[94, 111] Operation: 69+42=111
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 89:[94, 111], Operations: ['3*14=42', '69+42=111']
Exploring Operation: 94+111=205, Resulting Numbers: [205]
205,89 unequal: No Solution
Exploring Operation: 111-94=17, Resulting Numbers: [17]
17,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[69, 52], Operations: ['3*14=42', '94-42=52']
Exploring Operation: 69-52=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 69+52=121, Resulting Numbers: [121]
121,89 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: 89:[69, 14, 91], Operations: ['94-3=91']
Exploring Operation: 69+14=83, Resulting Numbers: [91, 83]
Generated Node #0,1,0: 89:[91, 83] Operation: 69+14=83
Exploring Operation: 91-14=77, Resulting Numbers: [69, 77]
Generated Node #0,1,1: 89:[69, 77] Operation: 91-14=77
Moving to Node #0,1,0
Current State: 89:[91, 83], Operations: ['94-3=91', '69+14=83']
Exploring Operation: 91-83=8, Resulting Numbers: [8]
8,89 unequal: No Solution
Exploring Operation: 91+83=174, Resulting Numbers: [174]
174,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[69, 77], Operations: ['94-3=91', '91-14=77']
Exploring Operation: 69+77=146, Resulting Numbers: [146]
146,89 unequal: No Solution
Exploring Operation: 77-69=8, Resulting Numbers: [8]
8,89 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
8,
27,
66,
31
] | 78 | [
"27-8=19",
"66+31=97",
"97-19=78"
] | Current State: 78:[8, 27, 66, 31], Operations: []
Exploring Operation: 27-8=19, Resulting Numbers: [66, 31, 19]
Generated Node #2: [66, 31, 19] from Operation: 27-8=19
Current State: 78:[66, 31, 19], Operations: ['27-8=19']
Exploring Operation: 66+31=97, Resulting Numbers: [19, 97]
Generated Node #3: [19, 97] from Operation: 66+31=97
Current State: 78:[19, 97], Operations: ['27-8=19', '66+31=97']
Exploring Operation: 97-19=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[8, 27, 66, 31], Operations: []
Exploring Operation: 66-27=39, Resulting Numbers: [8, 31, 39]
Generated Node #0,0: 78:[8, 31, 39] Operation: 66-27=39
Moving to Node #0,0
Current State: 78:[8, 31, 39], Operations: ['66-27=39']
Exploring Operation: 8+31=39, Resulting Numbers: [39, 39]
Generated Node #0,0,0: 78:[39, 39] Operation: 8+31=39
Moving to Node #0,0,0
Current State: 78:[39, 39], Operations: ['66-27=39', '8+31=39']
Exploring Operation: 39+39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[8, 27, 66, 31], Operations: []
Exploring Operation: 66-27=39, Resulting Numbers: [8, 31, 39]
Generated Node #0,0: 78:[8, 31, 39] Operation: 66-27=39
Moving to Node #0,0
Current State: 78:[8, 31, 39], Operations: ['66-27=39']
Exploring Operation: 8+31=39, Resulting Numbers: [39, 39]
Generated Node #0,0,0: 78:[39, 39] Operation: 8+31=39
Moving to Node #0,0,0
Current State: 78:[39, 39], Operations: ['66-27=39', '8+31=39']
Exploring Operation: 39+39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
24,
16,
4,
35
] | 75 | [
"35-24=11",
"16*4=64",
"11+64=75"
] | Current State: 75:[24, 16, 4, 35], Operations: []
Exploring Operation: 35-24=11, Resulting Numbers: [16, 4, 11]
Generated Node #2: [16, 4, 11] from Operation: 35-24=11
Current State: 75:[16, 4, 11], Operations: ['35-24=11']
Exploring Operation: 16*4=64, Resulting Numbers: [11, 64]
Generated Node #3: [11, 64] from Operation: 16*4=64
Current State: 75:[11, 64], Operations: ['35-24=11', '16*4=64']
Exploring Operation: 11+64=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[24, 16, 4, 35], Operations: []
Exploring Operation: 35-24=11, Resulting Numbers: [16, 4, 11]
Generated Node #0,0: 75:[16, 4, 11] Operation: 35-24=11
Exploring Operation: 35-16=19, Resulting Numbers: [24, 4, 19]
Generated Node #0,1: 75:[24, 4, 19] Operation: 35-16=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[16, 4, 11], Operations: ['35-24=11']
Exploring Operation: 16-11=5, Resulting Numbers: [4, 5]
Generated Node #0,0,0: 75:[4, 5] Operation: 16-11=5
Exploring Operation: 4+11=15, Resulting Numbers: [16, 15]
Generated Node #0,0,1: 75:[16, 15] Operation: 4+11=15
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[4, 5], Operations: ['35-24=11', '16-11=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 75:[16, 15], Operations: ['35-24=11', '4+11=15']
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[24, 4, 19], Operations: ['35-16=19']
Exploring Operation: 19-4=15, Resulting Numbers: [24, 15]
Generated Node #0,1,0: 75:[24, 15] Operation: 19-4=15
Exploring Operation: 24-19=5, Resulting Numbers: [4, 5]
Generated Node #0,1,1: 75:[4, 5] Operation: 24-19=5
Moving to Node #0,1,0
Current State: 75:[24, 15], Operations: ['35-16=19', '19-4=15']
Exploring Operation: 24+15=39, Resulting Numbers: [39]
39,75 unequal: No Solution
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[4, 5], Operations: ['35-16=19', '24-19=5']
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,75 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 |
[
61,
48,
59,
73
] | 49 | [
"61-59=2",
"48/2=24",
"73-24=49"
] | Current State: 49:[61, 48, 59, 73], Operations: []
Exploring Operation: 61-59=2, Resulting Numbers: [48, 73, 2]
Generated Node #2: [48, 73, 2] from Operation: 61-59=2
Current State: 49:[48, 73, 2], Operations: ['61-59=2']
Exploring Operation: 48/2=24, Resulting Numbers: [73, 24]
Generated Node #3: [73, 24] from Operation: 48/2=24
Current State: 49:[73, 24], Operations: ['61-59=2', '48/2=24']
Exploring Operation: 73-24=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[61, 48, 59, 73], Operations: []
Exploring Operation: 73-61=12, Resulting Numbers: [48, 59, 12]
Generated Node #0,0: 49:[48, 59, 12] Operation: 73-61=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[48, 59, 12], Operations: ['73-61=12']
Exploring Operation: 59-12=47, Resulting Numbers: [48, 47]
Generated Node #0,0,0: 49:[48, 47] Operation: 59-12=47
Moving to Node #0,0,0
Current State: 49:[48, 47], Operations: ['73-61=12', '59-12=47']
Exploring Operation: 48-47=1, Resulting Numbers: [1]
1,49 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 |
[
62,
22,
67,
3
] | 11 | [
"67-62=5",
"5-3=2",
"22/2=11"
] | Current State: 11:[62, 22, 67, 3], Operations: []
Exploring Operation: 67-62=5, Resulting Numbers: [22, 3, 5]
Generated Node #2: [22, 3, 5] from Operation: 67-62=5
Current State: 11:[22, 3, 5], Operations: ['67-62=5']
Exploring Operation: 5-3=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 5-3=2
Current State: 11:[22, 2], Operations: ['67-62=5', '5-3=2']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[62, 22, 67, 3], Operations: []
Exploring Operation: 67-62=5, Resulting Numbers: [22, 3, 5]
Generated Node #0,0: 11:[22, 3, 5] Operation: 67-62=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[22, 3, 5], Operations: ['67-62=5']
Exploring Operation: 22-3=19, Resulting Numbers: [5, 19]
Generated Node #0,0,0: 11:[5, 19] Operation: 22-3=19
Moving to Node #0,0,0
Current State: 11:[5, 19], Operations: ['67-62=5', '22-3=19']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,11 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 |
[
57,
30,
60,
68
] | 23 | [
"60/30=2",
"68/2=34",
"57-34=23"
] | Current State: 23:[57, 30, 60, 68], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [57, 68, 2]
Generated Node #2: [57, 68, 2] from Operation: 60/30=2
Current State: 23:[57, 68, 2], Operations: ['60/30=2']
Exploring Operation: 68/2=34, Resulting Numbers: [57, 34]
Generated Node #3: [57, 34] from Operation: 68/2=34
Current State: 23:[57, 34], Operations: ['60/30=2', '68/2=34']
Exploring Operation: 57-34=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[57, 30, 60, 68], Operations: []
Exploring Operation: 60-57=3, Resulting Numbers: [30, 68, 3]
Generated Node #0,0: 23:[30, 68, 3] Operation: 60-57=3
Exploring Operation: 68-57=11, Resulting Numbers: [30, 60, 11]
Generated Node #0,1: 23:[30, 60, 11] Operation: 68-57=11
Exploring Operation: 57-30=27, Resulting Numbers: [60, 68, 27]
Generated Node #0,2: 23:[60, 68, 27] Operation: 57-30=27
Exploring Operation: 68-60=8, Resulting Numbers: [57, 30, 8]
Generated Node #0,3: 23:[57, 30, 8] Operation: 68-60=8
Exploring Operation: 60-30=30, Resulting Numbers: [57, 68, 30]
Generated Node #0,4: 23:[57, 68, 30] Operation: 60-30=30
Moving to Node #0,1
Current State: 23:[30, 60, 11], Operations: ['68-57=11']
Exploring Operation: 60-30=30, Resulting Numbers: [11, 30]
Generated Node #0,1,0: 23:[11, 30] Operation: 60-30=30
Exploring Operation: 60/30=2, Resulting Numbers: [11, 2]
Generated Node #0,1,1: 23:[11, 2] Operation: 60/30=2
Exploring Operation: 30+11=41, Resulting Numbers: [60, 41]
Generated Node #0,1,2: 23:[60, 41] Operation: 30+11=41
Exploring Operation: 60-11=49, Resulting Numbers: [30, 49]
Generated Node #0,1,3: 23:[30, 49] Operation: 60-11=49
Exploring Operation: 30-11=19, Resulting Numbers: [60, 19]
Generated Node #0,1,4: 23:[60, 19] Operation: 30-11=19
Moving to Node #0,3
Current State: 23:[57, 30, 8], Operations: ['68-60=8']
Exploring Operation: 57-8=49, Resulting Numbers: [30, 49]
Generated Node #0,3,0: 23:[30, 49] Operation: 57-8=49
Exploring Operation: 57-30=27, Resulting Numbers: [8, 27]
Generated Node #0,3,1: 23:[8, 27] Operation: 57-30=27
Exploring Operation: 57+8=65, Resulting Numbers: [30, 65]
Generated Node #0,3,2: 23:[30, 65] Operation: 57+8=65
Exploring Operation: 30-8=22, Resulting Numbers: [57, 22]
Generated Node #0,3,3: 23:[57, 22] Operation: 30-8=22
Exploring Operation: 30+8=38, Resulting Numbers: [57, 38]
Generated Node #0,3,4: 23:[57, 38] Operation: 30+8=38
Moving to Node #0,0
Current State: 23:[30, 68, 3], Operations: ['60-57=3']
Exploring Operation: 68-3=65, Resulting Numbers: [30, 65]
Generated Node #0,0,0: 23:[30, 65] Operation: 68-3=65
Exploring Operation: 68+3=71, Resulting Numbers: [30, 71]
Generated Node #0,0,1: 23:[30, 71] Operation: 68+3=71
Exploring Operation: 30+3=33, Resulting Numbers: [68, 33]
Generated Node #0,0,2: 23:[68, 33] Operation: 30+3=33
Exploring Operation: 68-30=38, Resulting Numbers: [3, 38]
Generated Node #0,0,3: 23:[3, 38] Operation: 68-30=38
Exploring Operation: 30-3=27, Resulting Numbers: [68, 27]
Generated Node #0,0,4: 23:[68, 27] Operation: 30-3=27
Moving to Node #0,2
Current State: 23:[60, 68, 27], Operations: ['57-30=27']
Exploring Operation: 60+68=128, Resulting Numbers: [27, 128]
Generated Node #0,2,0: 23:[27, 128] Operation: 60+68=128
Exploring Operation: 60+27=87, Resulting Numbers: [68, 87]
Generated Node #0,2,1: 23:[68, 87] Operation: 60+27=87
Exploring Operation: 68-27=41, Resulting Numbers: [60, 41]
Generated Node #0,2,2: 23:[60, 41] Operation: 68-27=41
Exploring Operation: 68-60=8, Resulting Numbers: [27, 8]
Generated Node #0,2,3: 23:[27, 8] Operation: 68-60=8
Exploring Operation: 60-27=33, Resulting Numbers: [68, 33]
Generated Node #0,2,4: 23:[68, 33] Operation: 60-27=33
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 23:[27, 8], Operations: ['57-30=27', '68-60=8']
Exploring Operation: 27*8=216, Resulting Numbers: [216]
216,23 unequal: No Solution
Exploring Operation: 27+8=35, Resulting Numbers: [35]
35,23 unequal: No Solution
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,23 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:[60, 41], Operations: ['57-30=27', '68-27=41']
Exploring Operation: 60+41=101, Resulting Numbers: [101]
101,23 unequal: No Solution
Exploring Operation: 60-41=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 60*41=2460, Resulting Numbers: [2460]
2460,23 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 #0,2,4
Current State: 23:[68, 33], Operations: ['57-30=27', '60-27=33']
Exploring Operation: 68*33=2244, Resulting Numbers: [2244]
2244,23 unequal: No Solution
Exploring Operation: 68+33=101, Resulting Numbers: [101]
101,23 unequal: No Solution
Exploring Operation: 68-33=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 #0,2,0
Current State: 23:[27, 128], Operations: ['57-30=27', '60+68=128']
Exploring Operation: 128-27=101, Resulting Numbers: [101]
101,23 unequal: No Solution
Exploring Operation: 27+128=155, Resulting Numbers: [155]
155,23 unequal: No Solution
Exploring Operation: 27*128=3456, Resulting Numbers: [3456]
3456,23 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:[68, 87], Operations: ['57-30=27', '60+27=87']
Exploring Operation: 68+87=155, Resulting Numbers: [155]
155,23 unequal: No Solution
Exploring Operation: 68*87=5916, Resulting Numbers: [5916]
5916,23 unequal: No Solution
Exploring Operation: 87-68=19, Resulting Numbers: [19]
19,23 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:[57, 68, 30], Operations: ['60-30=30']
Exploring Operation: 57+30=87, Resulting Numbers: [68, 87]
Generated Node #0,4,0: 23:[68, 87] Operation: 57+30=87
Exploring Operation: 57-30=27, Resulting Numbers: [68, 27]
Generated Node #0,4,1: 23:[68, 27] Operation: 57-30=27
Exploring Operation: 68-30=38, Resulting Numbers: [57, 38]
Generated Node #0,4,2: 23:[57, 38] Operation: 68-30=38
Exploring Operation: 57+68=125, Resulting Numbers: [30, 125]
Generated Node #0,4,3: 23:[30, 125] Operation: 57+68=125
Exploring Operation: 68-57=11, Resulting Numbers: [30, 11]
Generated Node #0,4,4: 23:[30, 11] Operation: 68-57=11
Moving to Node #0,1,0
Current State: 23:[11, 30], Operations: ['68-57=11', '60-30=30']
Exploring Operation: 11*30=330, Resulting Numbers: [330]
330,23 unequal: No Solution
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 11+30=41, Resulting Numbers: [41]
41,23 unequal: No Solution
Moving to Node #0,3,1
Current State: 23:[8, 27], Operations: ['68-60=8', '57-30=27']
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,23 unequal: No Solution
Exploring Operation: 8*27=216, Resulting Numbers: [216]
216,23 unequal: No Solution
Moving to Node #0,4,4
Current State: 23:[30, 11], Operations: ['60-30=30', '68-57=11']
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 30*11=330, Resulting Numbers: [330]
330,23 unequal: No Solution
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,23 unequal: No Solution
Moving to Node #0,3,0
Current State: 23:[30, 49], Operations: ['68-60=8', '57-8=49']
Exploring Operation: 30+49=79, Resulting Numbers: [79]
79,23 unequal: No Solution
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 30*49=1470, Resulting Numbers: [1470]
1470,23 unequal: No Solution
Moving to Node #0,1,3
Current State: 23:[30, 49], Operations: ['68-57=11', '60-11=49']
Exploring Operation: 30+49=79, Resulting Numbers: [79]
79,23 unequal: No Solution
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 30*49=1470, Resulting Numbers: [1470]
1470,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[11, 2], Operations: ['68-57=11', '60/30=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,23 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,23 unequal: No Solution
Moving to Node #0,0,3
Current State: 23:[3, 38], Operations: ['60-57=3', '68-30=38']
Exploring Operation: 3*38=114, Resulting Numbers: [114]
114,23 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,23 unequal: No Solution
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,23 unequal: No Solution
Moving to Node #0,3,3
Current State: 23:[57, 22], Operations: ['68-60=8', '30-8=22']
Exploring Operation: 57*22=1254, Resulting Numbers: [1254]
1254,23 unequal: No Solution
Exploring Operation: 57-22=35, Resulting Numbers: [35]
35,23 unequal: No Solution
Exploring Operation: 57+22=79, Resulting Numbers: [79]
79,23 unequal: No Solution
Moving to Node #0,1,4
Current State: 23:[60, 19], Operations: ['68-57=11', '30-11=19']
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,23 unequal: No Solution
Exploring Operation: 60+19=79, Resulting Numbers: [79]
79,23 unequal: No Solution
Exploring Operation: 60*19=1140, Resulting Numbers: [1140]
1140,23 unequal: No Solution
Moving to Node #0,0,4
Current State: 23:[68, 27], Operations: ['60-57=3', '30-3=27']
Exploring Operation: 68*27=1836, Resulting Numbers: [1836]
1836,23 unequal: No Solution
Exploring Operation: 68-27=41, Resulting Numbers: [41]
41,23 unequal: No Solution
Exploring Operation: 68+27=95, Resulting Numbers: [95]
95,23 unequal: No Solution
Moving to Node #0,4,2
Current State: 23:[57, 38], Operations: ['60-30=30', '68-30=38']
Exploring Operation: 57+38=95, Resulting Numbers: [95]
95,23 unequal: No Solution
Exploring Operation: 57-38=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 57*38=2166, Resulting Numbers: [2166]
2166,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[30, 65], Operations: ['60-57=3', '68-3=65']
Exploring Operation: 30*65=1950, Resulting Numbers: [1950]
1950,23 unequal: No Solution
Exploring Operation: 30+65=95, Resulting Numbers: [95]
95,23 unequal: No Solution
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,23 unequal: No Solution
Moving to Node #0,3,4
Current State: 23:[57, 38], Operations: ['68-60=8', '30+8=38']
Exploring Operation: 57+38=95, Resulting Numbers: [95]
95,23 unequal: No Solution
Exploring Operation: 57-38=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 57*38=2166, Resulting Numbers: [2166]
2166,23 unequal: No Solution
Moving to Node #0,4,1
Current State: 23:[68, 27], Operations: ['60-30=30', '57-30=27']
Exploring Operation: 68*27=1836, Resulting Numbers: [1836]
1836,23 unequal: No Solution
Exploring Operation: 68-27=41, Resulting Numbers: [41]
41,23 unequal: No Solution
Exploring Operation: 68+27=95, Resulting Numbers: [95]
95,23 unequal: No Solution
Moving to Node #0,3,2
Current State: 23:[30, 65], Operations: ['68-60=8', '57+8=65']
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,23 unequal: No Solution
Exploring Operation: 30+65=95, Resulting Numbers: [95]
95,23 unequal: No Solution
Exploring Operation: 30*65=1950, Resulting Numbers: [1950]
1950,23 unequal: No Solution
Moving to Node #0,0,2
Current State: 23:[68, 33], Operations: ['60-57=3', '30+3=33']
Exploring Operation: 68-33=35, Resulting Numbers: [35]
35,23 unequal: No Solution
Exploring Operation: 68+33=101, Resulting Numbers: [101]
101,23 unequal: No Solution
Exploring Operation: 68*33=2244, Resulting Numbers: [2244]
2244,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[30, 71], Operations: ['60-57=3', '68+3=71']
Exploring Operation: 30+71=101, Resulting Numbers: [101]
101,23 unequal: No Solution
Exploring Operation: 71-30=41, Resulting Numbers: [41]
41,23 unequal: No Solution
Exploring Operation: 30*71=2130, Resulting Numbers: [2130]
2130,23 unequal: No Solution
Moving to Node #0,1,2
Current State: 23:[60, 41], Operations: ['68-57=11', '30+11=41']
Exploring Operation: 60-41=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 60+41=101, Resulting Numbers: [101]
101,23 unequal: No Solution
Exploring Operation: 60*41=2460, Resulting Numbers: [2460]
2460,23 unequal: No Solution
Moving to Node #0,4,3
Current State: 23:[30, 125], Operations: ['60-30=30', '57+68=125']
Exploring Operation: 30*125=3750, Resulting Numbers: [3750]
3750,23 unequal: No Solution
Exploring Operation: 125-30=95, Resulting Numbers: [95]
95,23 unequal: No Solution
Exploring Operation: 30+125=155, Resulting Numbers: [155]
155,23 unequal: No Solution
Moving to Node #0,4,0
Current State: 23:[68, 87], Operations: ['60-30=30', '57+30=87']
Exploring Operation: 68*87=5916, Resulting Numbers: [5916]
5916,23 unequal: No Solution
Exploring Operation: 68+87=155, Resulting Numbers: [155]
155,23 unequal: No Solution
Exploring Operation: 87-68=19, Resulting Numbers: [19]
19,23 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
37,
90,
14,
74
] | 67 | [
"37+90=127",
"74-14=60",
"127-60=67"
] | Current State: 67:[37, 90, 14, 74], Operations: []
Exploring Operation: 37+90=127, Resulting Numbers: [14, 74, 127]
Generated Node #2: [14, 74, 127] from Operation: 37+90=127
Current State: 67:[14, 74, 127], Operations: ['37+90=127']
Exploring Operation: 74-14=60, Resulting Numbers: [127, 60]
Generated Node #3: [127, 60] from Operation: 74-14=60
Current State: 67:[127, 60], Operations: ['37+90=127', '74-14=60']
Exploring Operation: 127-60=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[37, 90, 14, 74], Operations: []
Exploring Operation: 90-14=76, Resulting Numbers: [37, 74, 76]
Generated Node #0,0: 67:[37, 74, 76] Operation: 90-14=76
Exploring Operation: 37+14=51, Resulting Numbers: [90, 74, 51]
Generated Node #0,1: 67:[90, 74, 51] Operation: 37+14=51
Moving to Node #0,0
Current State: 67:[37, 74, 76], Operations: ['90-14=76']
Exploring Operation: 76-37=39, Resulting Numbers: [74, 39]
Generated Node #0,0,0: 67:[74, 39] Operation: 76-37=39
Exploring Operation: 74-37=37, Resulting Numbers: [76, 37]
Generated Node #0,0,1: 67:[76, 37] Operation: 74-37=37
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[74, 39], Operations: ['90-14=76', '76-37=39']
Exploring Operation: 74-39=35, Resulting Numbers: [35]
35,67 unequal: No Solution
Exploring Operation: 74+39=113, Resulting Numbers: [113]
113,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 67:[76, 37], Operations: ['90-14=76', '74-37=37']
Exploring Operation: 76+37=113, Resulting Numbers: [113]
113,67 unequal: No Solution
Exploring Operation: 76-37=39, Resulting Numbers: [39]
39,67 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: 67:[90, 74, 51], Operations: ['37+14=51']
Exploring Operation: 90-74=16, Resulting Numbers: [51, 16]
Generated Node #0,1,0: 67:[51, 16] Operation: 90-74=16
Exploring Operation: 90-51=39, Resulting Numbers: [74, 39]
Generated Node #0,1,1: 67:[74, 39] Operation: 90-51=39
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 67:[74, 39], Operations: ['37+14=51', '90-51=39']
Exploring Operation: 74-39=35, Resulting Numbers: [35]
35,67 unequal: No Solution
Exploring Operation: 74+39=113, Resulting Numbers: [113]
113,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 67:[51, 16], Operations: ['37+14=51', '90-74=16']
Exploring Operation: 51+16=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[37, 90, 14, 74], Operations: []
Exploring Operation: 37+14=51, Resulting Numbers: [90, 74, 51]
Generated Node #0,1: 67:[90, 74, 51] Operation: 37+14=51
Moving to Node #0,1
Current State: 67:[90, 74, 51], Operations: ['37+14=51']
Exploring Operation: 90-74=16, Resulting Numbers: [51, 16]
Generated Node #0,1,0: 67:[51, 16] Operation: 90-74=16
Moving to Node #0,1,0
Current State: 67:[51, 16], Operations: ['37+14=51', '90-74=16']
Exploring Operation: 51+16=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_2 | sum_heuristic |
[
56,
54,
78,
90
] | 98 | [
"56+54=110",
"90-78=12",
"110-12=98"
] | Current State: 98:[56, 54, 78, 90], Operations: []
Exploring Operation: 56+54=110, Resulting Numbers: [78, 90, 110]
Generated Node #2: [78, 90, 110] from Operation: 56+54=110
Current State: 98:[78, 90, 110], Operations: ['56+54=110']
Exploring Operation: 90-78=12, Resulting Numbers: [110, 12]
Generated Node #3: [110, 12] from Operation: 90-78=12
Current State: 98:[110, 12], Operations: ['56+54=110', '90-78=12']
Exploring Operation: 110-12=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[56, 54, 78, 90], Operations: []
Exploring Operation: 90-78=12, Resulting Numbers: [56, 54, 12]
Generated Node #0,0: 98:[56, 54, 12] Operation: 90-78=12
Exploring Operation: 78-56=22, Resulting Numbers: [54, 90, 22]
Generated Node #0,1: 98:[54, 90, 22] Operation: 78-56=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[56, 54, 12], Operations: ['90-78=12']
Exploring Operation: 56-12=44, Resulting Numbers: [54, 44]
Generated Node #0,0,0: 98:[54, 44] Operation: 56-12=44
Exploring Operation: 56-54=2, Resulting Numbers: [12, 2]
Generated Node #0,0,1: 98:[12, 2] Operation: 56-54=2
Moving to Node #0,0,1
Current State: 98:[12, 2], Operations: ['90-78=12', '56-54=2']
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,98 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Moving to Node #0,0,0
Current State: 98:[54, 44], Operations: ['90-78=12', '56-12=44']
Exploring Operation: 54-44=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Exploring Operation: 54+44=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[56, 54, 78, 90], Operations: []
Exploring Operation: 90-78=12, Resulting Numbers: [56, 54, 12]
Generated Node #0,0: 98:[56, 54, 12] Operation: 90-78=12
Moving to Node #0,0
Current State: 98:[56, 54, 12], Operations: ['90-78=12']
Exploring Operation: 56-12=44, Resulting Numbers: [54, 44]
Generated Node #0,0,0: 98:[54, 44] Operation: 56-12=44
Moving to Node #0,0,0
Current State: 98:[54, 44], Operations: ['90-78=12', '56-12=44']
Exploring Operation: 54+44=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
21,
40,
44,
47
] | 41 | [
"47-40=7",
"21/7=3",
"44-3=41"
] | Current State: 41:[21, 40, 44, 47], Operations: []
Exploring Operation: 47-40=7, Resulting Numbers: [21, 44, 7]
Generated Node #2: [21, 44, 7] from Operation: 47-40=7
Current State: 41:[21, 44, 7], Operations: ['47-40=7']
Exploring Operation: 21/7=3, Resulting Numbers: [44, 3]
Generated Node #3: [44, 3] from Operation: 21/7=3
Current State: 41:[44, 3], Operations: ['47-40=7', '21/7=3']
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[21, 40, 44, 47], Operations: []
Exploring Operation: 44-21=23, Resulting Numbers: [40, 47, 23]
Generated Node #0,0: 41:[40, 47, 23] Operation: 44-21=23
Exploring Operation: 21+40=61, Resulting Numbers: [44, 47, 61]
Generated Node #0,1: 41:[44, 47, 61] Operation: 21+40=61
Exploring Operation: 47-21=26, Resulting Numbers: [40, 44, 26]
Generated Node #0,2: 41:[40, 44, 26] Operation: 47-21=26
Start Sub Search at level 1: Moving to Node #0,2
Current State: 41:[40, 44, 26], Operations: ['47-21=26']
Exploring Operation: 40-26=14, Resulting Numbers: [44, 14]
Generated Node #0,2,0: 41:[44, 14] Operation: 40-26=14
Exploring Operation: 40+26=66, Resulting Numbers: [44, 66]
Generated Node #0,2,1: 41:[44, 66] Operation: 40+26=66
Exploring Operation: 44-26=18, Resulting Numbers: [40, 18]
Generated Node #0,2,2: 41:[40, 18] Operation: 44-26=18
Moving to Node #0,2,2
Current State: 41:[40, 18], Operations: ['47-21=26', '44-26=18']
Exploring Operation: 40*18=720, Resulting Numbers: [720]
720,41 unequal: No Solution
Exploring Operation: 40+18=58, Resulting Numbers: [58]
58,41 unequal: No Solution
Exploring Operation: 40-18=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[44, 66], Operations: ['47-21=26', '40+26=66']
Exploring Operation: 66-44=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 44+66=110, Resulting Numbers: [110]
110,41 unequal: No Solution
Exploring Operation: 44*66=2904, Resulting Numbers: [2904]
2904,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[44, 14], Operations: ['47-21=26', '40-26=14']
Exploring Operation: 44+14=58, Resulting Numbers: [58]
58,41 unequal: No Solution
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 44*14=616, Resulting Numbers: [616]
616,41 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
Current State: 41:[40, 47, 23], Operations: ['44-21=23']
Exploring Operation: 40-23=17, Resulting Numbers: [47, 17]
Generated Node #0,0,0: 41:[47, 17] Operation: 40-23=17
Exploring Operation: 40+23=63, Resulting Numbers: [47, 63]
Generated Node #0,0,1: 41:[47, 63] Operation: 40+23=63
Exploring Operation: 47-23=24, Resulting Numbers: [40, 24]
Generated Node #0,0,2: 41:[40, 24] Operation: 47-23=24
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 41:[40, 24], Operations: ['44-21=23', '47-23=24']
Exploring Operation: 40*24=960, Resulting Numbers: [960]
960,41 unequal: No Solution
Exploring Operation: 40+24=64, Resulting Numbers: [64]
64,41 unequal: No Solution
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 41:[47, 63], Operations: ['44-21=23', '40+23=63']
Exploring Operation: 47*63=2961, Resulting Numbers: [2961]
2961,41 unequal: No Solution
Exploring Operation: 47+63=110, Resulting Numbers: [110]
110,41 unequal: No Solution
Exploring Operation: 63-47=16, Resulting Numbers: [16]
16,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[47, 17], Operations: ['44-21=23', '40-23=17']
Exploring Operation: 47*17=799, Resulting Numbers: [799]
799,41 unequal: No Solution
Exploring Operation: 47+17=64, Resulting Numbers: [64]
64,41 unequal: No Solution
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[44, 47, 61], Operations: ['21+40=61']
Exploring Operation: 47-44=3, Resulting Numbers: [61, 3]
Generated Node #0,1,0: 41:[61, 3] Operation: 47-44=3
Exploring Operation: 61-47=14, Resulting Numbers: [44, 14]
Generated Node #0,1,1: 41:[44, 14] Operation: 61-47=14
Exploring Operation: 61-44=17, Resulting Numbers: [47, 17]
Generated Node #0,1,2: 41:[47, 17] Operation: 61-44=17
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 41:[44, 14], Operations: ['21+40=61', '61-47=14']
Exploring Operation: 44*14=616, Resulting Numbers: [616]
616,41 unequal: No Solution
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,41 unequal: No Solution
Exploring Operation: 44+14=58, Resulting Numbers: [58]
58,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 41:[47, 17], Operations: ['21+40=61', '61-44=17']
Exploring Operation: 47*17=799, Resulting Numbers: [799]
799,41 unequal: No Solution
Exploring Operation: 47+17=64, Resulting Numbers: [64]
64,41 unequal: No Solution
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,41 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:[61, 3], Operations: ['21+40=61', '47-44=3']
Exploring Operation: 61*3=183, Resulting Numbers: [183]
183,41 unequal: No Solution
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,41 unequal: No Solution
Exploring Operation: 61+3=64, Resulting Numbers: [64]
64,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
50,
69,
60,
20
] | 27 | [
"69*20=1380",
"1380/60=23",
"50-23=27"
] | Current State: 27:[50, 69, 60, 20], Operations: []
Exploring Operation: 69*20=1380, Resulting Numbers: [50, 60, 1380]
Generated Node #2: [50, 60, 1380] from Operation: 69*20=1380
Current State: 27:[50, 60, 1380], Operations: ['69*20=1380']
Exploring Operation: 1380/60=23, Resulting Numbers: [50, 23]
Generated Node #3: [50, 23] from Operation: 1380/60=23
Current State: 27:[50, 23], Operations: ['69*20=1380', '1380/60=23']
Exploring Operation: 50-23=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[50, 69, 60, 20], Operations: []
Exploring Operation: 69-60=9, Resulting Numbers: [50, 20, 9]
Generated Node #0,0: 27:[50, 20, 9] Operation: 69-60=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[50, 20, 9], Operations: ['69-60=9']
Exploring Operation: 50-20=30, Resulting Numbers: [9, 30]
Generated Node #0,0,0: 27:[9, 30] Operation: 50-20=30
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 27:[9, 30], Operations: ['69-60=9', '50-20=30']
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
50,
43,
7,
15
] | 48 | [
"50-15=35",
"35/7=5",
"43+5=48"
] | Current State: 48:[50, 43, 7, 15], Operations: []
Exploring Operation: 50-15=35, Resulting Numbers: [43, 7, 35]
Generated Node #2: [43, 7, 35] from Operation: 50-15=35
Current State: 48:[43, 7, 35], Operations: ['50-15=35']
Exploring Operation: 35/7=5, Resulting Numbers: [43, 5]
Generated Node #3: [43, 5] from Operation: 35/7=5
Current State: 48:[43, 5], Operations: ['50-15=35', '35/7=5']
Exploring Operation: 43+5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[50, 43, 7, 15], Operations: []
Exploring Operation: 50-43=7, Resulting Numbers: [7, 15, 7]
Generated Node #0,0: 48:[7, 15, 7] Operation: 50-43=7
Exploring Operation: 43+7=50, Resulting Numbers: [50, 15, 50]
Generated Node #0,1: 48:[50, 15, 50] Operation: 43+7=50
Moving to Node #0,0
Current State: 48:[7, 15, 7], Operations: ['50-43=7']
Exploring Operation: 15-7=8, Resulting Numbers: [7, 8]
Generated Node #0,0,0: 48:[7, 8] Operation: 15-7=8
Exploring Operation: 15-7=8, Resulting Numbers: [7, 8]
Generated Node #0,0,1: 48:[7, 8] Operation: 15-7=8
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[7, 8], Operations: ['50-43=7', '15-7=8']
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,48 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 48:[7, 8], Operations: ['50-43=7', '15-7=8']
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,48 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,48 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: 48:[50, 15, 50], Operations: ['43+7=50']
Exploring Operation: 50/50=1, Resulting Numbers: [15, 1]
Generated Node #0,1,0: 48:[15, 1] Operation: 50/50=1
Exploring Operation: 50-50=0, Resulting Numbers: [15, 0]
Generated Node #0,1,1: 48:[15, 0] Operation: 50-50=0
Moving to Node #0,1,0
Current State: 48:[15, 1], Operations: ['43+7=50', '50/50=1']
Exploring Operation: 15*1=15, Resulting Numbers: [15]
15,48 unequal: No Solution
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[15, 0], Operations: ['43+7=50', '50-50=0']
Exploring Operation: 15-0=15, Resulting Numbers: [15]
15,48 unequal: No Solution
Exploring Operation: 15+0=15, Resulting Numbers: [15]
15,48 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
3,
12,
52,
43
] | 81 | [
"12-3=9",
"52-43=9",
"9*9=81"
] | Current State: 81:[3, 12, 52, 43], Operations: []
Exploring Operation: 12-3=9, Resulting Numbers: [52, 43, 9]
Generated Node #2: [52, 43, 9] from Operation: 12-3=9
Current State: 81:[52, 43, 9], Operations: ['12-3=9']
Exploring Operation: 52-43=9, Resulting Numbers: [9, 9]
Generated Node #3: [9, 9] from Operation: 52-43=9
Current State: 81:[9, 9], Operations: ['12-3=9', '52-43=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[3, 12, 52, 43], Operations: []
Exploring Operation: 52-12=40, Resulting Numbers: [3, 43, 40]
Generated Node #0,0: 81:[3, 43, 40] Operation: 52-12=40
Exploring Operation: 43-12=31, Resulting Numbers: [3, 52, 31]
Generated Node #0,1: 81:[3, 52, 31] Operation: 43-12=31
Exploring Operation: 52+43=95, Resulting Numbers: [3, 12, 95]
Generated Node #0,2: 81:[3, 12, 95] Operation: 52+43=95
Exploring Operation: 52-43=9, Resulting Numbers: [3, 12, 9]
Generated Node #0,3: 81:[3, 12, 9] Operation: 52-43=9
Start Sub Search at level 1: Moving to Node #0,3
Current State: 81:[3, 12, 9], Operations: ['52-43=9']
Exploring Operation: 3*9=27, Resulting Numbers: [12, 27]
Generated Node #0,3,0: 81:[12, 27] Operation: 3*9=27
Exploring Operation: 12/3=4, Resulting Numbers: [9, 4]
Generated Node #0,3,1: 81:[9, 4] Operation: 12/3=4
Exploring Operation: 12-9=3, Resulting Numbers: [3, 3]
Generated Node #0,3,2: 81:[3, 3] Operation: 12-9=3
Exploring Operation: 12-3=9, Resulting Numbers: [9, 9]
Generated Node #0,3,3: 81:[9, 9] Operation: 12-3=9
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 81:[3, 3], Operations: ['52-43=9', '12-9=3']
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,81 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,81 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,81 unequal: No Solution
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 81:[9, 9], Operations: ['52-43=9', '12-3=9']
Exploring Operation: 9+9=18, Resulting Numbers: [18]
18,81 unequal: No Solution
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[3, 12, 52, 43], Operations: []
Exploring Operation: 52-43=9, Resulting Numbers: [3, 12, 9]
Generated Node #0,3: 81:[3, 12, 9] Operation: 52-43=9
Moving to Node #0,3
Current State: 81:[3, 12, 9], Operations: ['52-43=9']
Exploring Operation: 12-3=9, Resulting Numbers: [9, 9]
Generated Node #0,3,3: 81:[9, 9] Operation: 12-3=9
Moving to Node #0,3,3
Current State: 81:[9, 9], Operations: ['52-43=9', '12-3=9']
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
24,
59,
97,
35
] | 96 | [
"59-24=35",
"35/35=1",
"97-1=96"
] | Current State: 96:[24, 59, 97, 35], Operations: []
Exploring Operation: 59-24=35, Resulting Numbers: [97, 35, 35]
Generated Node #2: [97, 35, 35] from Operation: 59-24=35
Current State: 96:[97, 35, 35], Operations: ['59-24=35']
Exploring Operation: 35/35=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 35/35=1
Current State: 96:[97, 1], Operations: ['59-24=35', '35/35=1']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[24, 59, 97, 35], Operations: []
Exploring Operation: 59-35=24, Resulting Numbers: [24, 97, 24]
Generated Node #0,0: 96:[24, 97, 24] Operation: 59-35=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[24, 97, 24], Operations: ['59-35=24']
Exploring Operation: 24+24=48, Resulting Numbers: [97, 48]
Generated Node #0,0,0: 96:[97, 48] Operation: 24+24=48
Moving to Node #0,0,0
Current State: 96:[97, 48], Operations: ['59-35=24', '24+24=48']
Exploring Operation: 97-48=49, Resulting Numbers: [49]
49,96 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 |
[
67,
46,
69,
18
] | 32 | [
"69-67=2",
"46+18=64",
"64/2=32"
] | Current State: 32:[67, 46, 69, 18], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [46, 18, 2]
Generated Node #2: [46, 18, 2] from Operation: 69-67=2
Current State: 32:[46, 18, 2], Operations: ['69-67=2']
Exploring Operation: 46+18=64, Resulting Numbers: [2, 64]
Generated Node #3: [2, 64] from Operation: 46+18=64
Current State: 32:[2, 64], Operations: ['69-67=2', '46+18=64']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[67, 46, 69, 18], Operations: []
Exploring Operation: 67-18=49, Resulting Numbers: [46, 69, 49]
Generated Node #0,0: 32:[46, 69, 49] Operation: 67-18=49
Exploring Operation: 69-46=23, Resulting Numbers: [67, 18, 23]
Generated Node #0,1: 32:[67, 18, 23] Operation: 69-46=23
Exploring Operation: 69-18=51, Resulting Numbers: [67, 46, 51]
Generated Node #0,2: 32:[67, 46, 51] Operation: 69-18=51
Exploring Operation: 67-46=21, Resulting Numbers: [69, 18, 21]
Generated Node #0,3: 32:[69, 18, 21] Operation: 67-46=21
Exploring Operation: 69-67=2, Resulting Numbers: [46, 18, 2]
Generated Node #0,4: 32:[46, 18, 2] Operation: 69-67=2
Moving to Node #0,4
Current State: 32:[46, 18, 2], Operations: ['69-67=2']
Exploring Operation: 46/2=23, Resulting Numbers: [18, 23]
Generated Node #0,4,0: 32:[18, 23] Operation: 46/2=23
Exploring Operation: 18/2=9, Resulting Numbers: [46, 9]
Generated Node #0,4,1: 32:[46, 9] Operation: 18/2=9
Exploring Operation: 18-2=16, Resulting Numbers: [46, 16]
Generated Node #0,4,2: 32:[46, 16] Operation: 18-2=16
Exploring Operation: 46-18=28, Resulting Numbers: [2, 28]
Generated Node #0,4,3: 32:[2, 28] Operation: 46-18=28
Exploring Operation: 46-2=44, Resulting Numbers: [18, 44]
Generated Node #0,4,4: 32:[18, 44] Operation: 46-2=44
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 32:[2, 28], Operations: ['69-67=2', '46-18=28']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,32 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,32 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,32 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,32 unequal: No Solution
No 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: 32:[18, 23], Operations: ['69-67=2', '46/2=23']
Exploring Operation: 18+23=41, Resulting Numbers: [41]
41,32 unequal: No Solution
Exploring Operation: 18*23=414, Resulting Numbers: [414]
414,32 unequal: No Solution
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,32 unequal: No Solution
No 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: 32:[46, 16], Operations: ['69-67=2', '18-2=16']
Exploring Operation: 46*16=736, Resulting Numbers: [736]
736,32 unequal: No Solution
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,32 unequal: No Solution
Exploring Operation: 46+16=62, Resulting Numbers: [62]
62,32 unequal: No Solution
No 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: 32:[18, 44], Operations: ['69-67=2', '46-2=44']
Exploring Operation: 18+44=62, Resulting Numbers: [62]
62,32 unequal: No Solution
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,32 unequal: No Solution
Exploring Operation: 18*44=792, Resulting Numbers: [792]
792,32 unequal: No Solution
No 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: 32:[46, 9], Operations: ['69-67=2', '18/2=9']
Exploring Operation: 46+9=55, Resulting Numbers: [55]
55,32 unequal: No Solution
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,32 unequal: No Solution
Exploring Operation: 46*9=414, Resulting Numbers: [414]
414,32 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: 32:[69, 18, 21], Operations: ['67-46=21']
Exploring Operation: 69-18=51, Resulting Numbers: [21, 51]
Generated Node #0,3,0: 32:[21, 51] Operation: 69-18=51
Exploring Operation: 69-21=48, Resulting Numbers: [18, 48]
Generated Node #0,3,1: 32:[18, 48] Operation: 69-21=48
Exploring Operation: 69+18=87, Resulting Numbers: [21, 87]
Generated Node #0,3,2: 32:[21, 87] Operation: 69+18=87
Exploring Operation: 21-18=3, Resulting Numbers: [69, 3]
Generated Node #0,3,3: 32:[69, 3] Operation: 21-18=3
Exploring Operation: 18+21=39, Resulting Numbers: [69, 39]
Generated Node #0,3,4: 32:[69, 39] Operation: 18+21=39
Moving to Node #0,1
Current State: 32:[67, 18, 23], Operations: ['69-46=23']
Exploring Operation: 67+18=85, Resulting Numbers: [23, 85]
Generated Node #0,1,0: 32:[23, 85] Operation: 67+18=85
Exploring Operation: 67-23=44, Resulting Numbers: [18, 44]
Generated Node #0,1,1: 32:[18, 44] Operation: 67-23=44
Exploring Operation: 18+23=41, Resulting Numbers: [67, 41]
Generated Node #0,1,2: 32:[67, 41] Operation: 18+23=41
Exploring Operation: 67-18=49, Resulting Numbers: [23, 49]
Generated Node #0,1,3: 32:[23, 49] Operation: 67-18=49
Exploring Operation: 23-18=5, Resulting Numbers: [67, 5]
Generated Node #0,1,4: 32:[67, 5] Operation: 23-18=5
Moving to Node #0,0
Current State: 32:[46, 69, 49], Operations: ['67-18=49']
Exploring Operation: 69-46=23, Resulting Numbers: [49, 23]
Generated Node #0,0,0: 32:[49, 23] Operation: 69-46=23
Exploring Operation: 49-46=3, Resulting Numbers: [69, 3]
Generated Node #0,0,1: 32:[69, 3] Operation: 49-46=3
Exploring Operation: 46+49=95, Resulting Numbers: [69, 95]
Generated Node #0,0,2: 32:[69, 95] Operation: 46+49=95
Exploring Operation: 69-49=20, Resulting Numbers: [46, 20]
Generated Node #0,0,3: 32:[46, 20] Operation: 69-49=20
Exploring Operation: 46+69=115, Resulting Numbers: [49, 115]
Generated Node #0,0,4: 32:[49, 115] Operation: 46+69=115
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 32:[46, 20], Operations: ['67-18=49', '69-49=20']
Exploring Operation: 46+20=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,32 unequal: No Solution
Exploring Operation: 46*20=920, Resulting Numbers: [920]
920,32 unequal: No Solution
No 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: 32:[49, 23], Operations: ['67-18=49', '69-46=23']
Exploring Operation: 49+23=72, Resulting Numbers: [72]
72,32 unequal: No Solution
Exploring Operation: 49-23=26, Resulting Numbers: [26]
26,32 unequal: No Solution
Exploring Operation: 49*23=1127, Resulting Numbers: [1127]
1127,32 unequal: No Solution
No 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: 32:[69, 3], Operations: ['67-18=49', '49-46=3']
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,32 unequal: No Solution
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,32 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,32 unequal: No Solution
No 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: 32:[69, 95], Operations: ['67-18=49', '46+49=95']
Exploring Operation: 69*95=6555, Resulting Numbers: [6555]
6555,32 unequal: No Solution
Exploring Operation: 95-69=26, Resulting Numbers: [26]
26,32 unequal: No Solution
Exploring Operation: 69+95=164, Resulting Numbers: [164]
164,32 unequal: No Solution
No 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: 32:[49, 115], Operations: ['67-18=49', '46+69=115']
Exploring Operation: 49+115=164, Resulting Numbers: [164]
164,32 unequal: No Solution
Exploring Operation: 115-49=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Exploring Operation: 49*115=5635, Resulting Numbers: [5635]
5635,32 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: 32:[67, 46, 51], Operations: ['69-18=51']
Exploring Operation: 67-46=21, Resulting Numbers: [51, 21]
Generated Node #0,2,0: 32:[51, 21] Operation: 67-46=21
Exploring Operation: 51-46=5, Resulting Numbers: [67, 5]
Generated Node #0,2,1: 32:[67, 5] Operation: 51-46=5
Exploring Operation: 67+46=113, Resulting Numbers: [51, 113]
Generated Node #0,2,2: 32:[51, 113] Operation: 67+46=113
Exploring Operation: 67+51=118, Resulting Numbers: [46, 118]
Generated Node #0,2,3: 32:[46, 118] Operation: 67+51=118
Exploring Operation: 67-51=16, Resulting Numbers: [46, 16]
Generated Node #0,2,4: 32:[46, 16] Operation: 67-51=16
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 32:[46, 16], Operations: ['69-18=51', '67-51=16']
Exploring Operation: 46*16=736, Resulting Numbers: [736]
736,32 unequal: No Solution
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,32 unequal: No Solution
Exploring Operation: 46+16=62, Resulting Numbers: [62]
62,32 unequal: No Solution
No 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: 32:[51, 21], Operations: ['69-18=51', '67-46=21']
Exploring Operation: 51*21=1071, Resulting Numbers: [1071]
1071,32 unequal: No Solution
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,32 unequal: No Solution
Exploring Operation: 51+21=72, Resulting Numbers: [72]
72,32 unequal: No Solution
No 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: 32:[67, 5], Operations: ['69-18=51', '51-46=5']
Exploring Operation: 67+5=72, Resulting Numbers: [72]
72,32 unequal: No Solution
Exploring Operation: 67*5=335, Resulting Numbers: [335]
335,32 unequal: No Solution
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,32 unequal: No Solution
No 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: 32:[51, 113], Operations: ['69-18=51', '67+46=113']
Exploring Operation: 113-51=62, Resulting Numbers: [62]
62,32 unequal: No Solution
Exploring Operation: 51*113=5763, Resulting Numbers: [5763]
5763,32 unequal: No Solution
Exploring Operation: 51+113=164, Resulting Numbers: [164]
164,32 unequal: No Solution
No 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: 32:[46, 118], Operations: ['69-18=51', '67+51=118']
Exploring Operation: 118-46=72, Resulting Numbers: [72]
72,32 unequal: No Solution
Exploring Operation: 46+118=164, Resulting Numbers: [164]
164,32 unequal: No Solution
Exploring Operation: 46*118=5428, Resulting Numbers: [5428]
5428,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 32:[18, 44], Operations: ['69-46=23', '67-23=44']
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,32 unequal: No Solution
Exploring Operation: 18*44=792, Resulting Numbers: [792]
792,32 unequal: No Solution
Exploring Operation: 18+44=62, Resulting Numbers: [62]
62,32 unequal: No Solution
Moving to Node #0,3,1
Current State: 32:[18, 48], Operations: ['67-46=21', '69-21=48']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,32 unequal: No Solution
Exploring Operation: 18*48=864, Resulting Numbers: [864]
864,32 unequal: No Solution
Exploring Operation: 18+48=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Moving to Node #0,1,3
Current State: 32:[23, 49], Operations: ['69-46=23', '67-18=49']
Exploring Operation: 49-23=26, Resulting Numbers: [26]
26,32 unequal: No Solution
Exploring Operation: 23*49=1127, Resulting Numbers: [1127]
1127,32 unequal: No Solution
Exploring Operation: 23+49=72, Resulting Numbers: [72]
72,32 unequal: No Solution
Moving to Node #0,3,0
Current State: 32:[21, 51], Operations: ['67-46=21', '69-18=51']
Exploring Operation: 21+51=72, Resulting Numbers: [72]
72,32 unequal: No Solution
Exploring Operation: 21*51=1071, Resulting Numbers: [1071]
1071,32 unequal: No Solution
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,32 unequal: No Solution
Moving to Node #0,1,4
Current State: 32:[67, 5], Operations: ['69-46=23', '23-18=5']
Exploring Operation: 67+5=72, Resulting Numbers: [72]
72,32 unequal: No Solution
Exploring Operation: 67*5=335, Resulting Numbers: [335]
335,32 unequal: No Solution
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,32 unequal: No Solution
Moving to Node #0,3,3
Current State: 32:[69, 3], Operations: ['67-46=21', '21-18=3']
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,32 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,32 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,32 unequal: No Solution
Moving to Node #0,1,2
Current State: 32:[67, 41], Operations: ['69-46=23', '18+23=41']
Exploring Operation: 67+41=108, Resulting Numbers: [108]
108,32 unequal: No Solution
Exploring Operation: 67*41=2747, Resulting Numbers: [2747]
2747,32 unequal: No Solution
Exploring Operation: 67-41=26, Resulting Numbers: [26]
26,32 unequal: No Solution
Moving to Node #0,3,4
Current State: 32:[69, 39], Operations: ['67-46=21', '18+21=39']
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,32 unequal: No Solution
Exploring Operation: 69*39=2691, Resulting Numbers: [2691]
2691,32 unequal: No Solution
Exploring Operation: 69+39=108, Resulting Numbers: [108]
108,32 unequal: No Solution
Moving to Node #0,1,0
Current State: 32:[23, 85], Operations: ['69-46=23', '67+18=85']
Exploring Operation: 23+85=108, Resulting Numbers: [108]
108,32 unequal: No Solution
Exploring Operation: 23*85=1955, Resulting Numbers: [1955]
1955,32 unequal: No Solution
Exploring Operation: 85-23=62, Resulting Numbers: [62]
62,32 unequal: No Solution
Moving to Node #0,3,2
Current State: 32:[21, 87], Operations: ['67-46=21', '69+18=87']
Exploring Operation: 21*87=1827, Resulting Numbers: [1827]
1827,32 unequal: No Solution
Exploring Operation: 87-21=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Exploring Operation: 21+87=108, Resulting Numbers: [108]
108,32 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
52,
30,
3,
86
] | 56 | [
"52+30=82",
"86+82=168",
"168/3=56"
] | Current State: 56:[52, 30, 3, 86], Operations: []
Exploring Operation: 52+30=82, Resulting Numbers: [3, 86, 82]
Generated Node #2: [3, 86, 82] from Operation: 52+30=82
Current State: 56:[3, 86, 82], Operations: ['52+30=82']
Exploring Operation: 86+82=168, Resulting Numbers: [3, 168]
Generated Node #3: [3, 168] from Operation: 86+82=168
Current State: 56:[3, 168], Operations: ['52+30=82', '86+82=168']
Exploring Operation: 168/3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[52, 30, 3, 86], Operations: []
Exploring Operation: 52+3=55, Resulting Numbers: [30, 86, 55]
Generated Node #0,0: 56:[30, 86, 55] Operation: 52+3=55
Exploring Operation: 86-52=34, Resulting Numbers: [30, 3, 34]
Generated Node #0,1: 56:[30, 3, 34] Operation: 86-52=34
Exploring Operation: 86-30=56, Resulting Numbers: [52, 3, 56]
Generated Node #0,2: 56:[52, 3, 56] Operation: 86-30=56
Moving to Node #0,2
Current State: 56:[52, 3, 56], Operations: ['86-30=56']
Exploring Operation: 56-52=4, Resulting Numbers: [3, 4]
Generated Node #0,2,0: 56:[3, 4] Operation: 56-52=4
Exploring Operation: 52-3=49, Resulting Numbers: [56, 49]
Generated Node #0,2,1: 56:[56, 49] Operation: 52-3=49
Exploring Operation: 52+3=55, Resulting Numbers: [56, 55]
Generated Node #0,2,2: 56:[56, 55] Operation: 52+3=55
Moving to Node #0,1
Current State: 56:[30, 3, 34], Operations: ['86-52=34']
Exploring Operation: 34-30=4, Resulting Numbers: [3, 4]
Generated Node #0,1,0: 56:[3, 4] Operation: 34-30=4
Exploring Operation: 34-3=31, Resulting Numbers: [30, 31]
Generated Node #0,1,1: 56:[30, 31] Operation: 34-3=31
Exploring Operation: 30-3=27, Resulting Numbers: [34, 27]
Generated Node #0,1,2: 56:[34, 27] Operation: 30-3=27
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 56:[3, 4], Operations: ['86-52=34', '34-30=4']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,56 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 56:[30, 31], Operations: ['86-52=34', '34-3=31']
Exploring Operation: 30*31=930, Resulting Numbers: [930]
930,56 unequal: No Solution
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 30+31=61, Resulting Numbers: [61]
61,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 56:[34, 27], Operations: ['86-52=34', '30-3=27']
Exploring Operation: 34*27=918, Resulting Numbers: [918]
918,56 unequal: No Solution
Exploring Operation: 34+27=61, Resulting Numbers: [61]
61,56 unequal: No Solution
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 56:[30, 86, 55], Operations: ['52+3=55']
Exploring Operation: 55-30=25, Resulting Numbers: [86, 25]
Generated Node #0,0,0: 56:[86, 25] Operation: 55-30=25
Exploring Operation: 86-55=31, Resulting Numbers: [30, 31]
Generated Node #0,0,1: 56:[30, 31] Operation: 86-55=31
Exploring Operation: 86-30=56, Resulting Numbers: [55, 56]
Generated Node #0,0,2: 56:[55, 56] Operation: 86-30=56
Moving to Node #0,2,0
Current State: 56:[3, 4], Operations: ['86-30=56', '56-52=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,56 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,56 unequal: No Solution
Moving to Node #0,2,2
Current State: 56:[56, 55], Operations: ['86-30=56', '52+3=55']
Exploring Operation: 56+55=111, Resulting Numbers: [111]
111,56 unequal: No Solution
Exploring Operation: 56-55=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 56*55=3080, Resulting Numbers: [3080]
3080,56 unequal: No Solution
Moving to Node #0,0,2
Current State: 56:[55, 56], Operations: ['52+3=55', '86-30=56']
Exploring Operation: 55*56=3080, Resulting Numbers: [3080]
3080,56 unequal: No Solution
Exploring Operation: 55+56=111, Resulting Numbers: [111]
111,56 unequal: No Solution
Exploring Operation: 56-55=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[30, 31], Operations: ['52+3=55', '86-55=31']
Exploring Operation: 30*31=930, Resulting Numbers: [930]
930,56 unequal: No Solution
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 30+31=61, Resulting Numbers: [61]
61,56 unequal: No Solution
Moving to Node #0,2,1
Current State: 56:[56, 49], Operations: ['86-30=56', '52-3=49']
Exploring Operation: 56*49=2744, Resulting Numbers: [2744]
2744,56 unequal: No Solution
Exploring Operation: 56-49=7, Resulting Numbers: [7]
7,56 unequal: No Solution
Exploring Operation: 56+49=105, Resulting Numbers: [105]
105,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[86, 25], Operations: ['52+3=55', '55-30=25']
Exploring Operation: 86*25=2150, Resulting Numbers: [2150]
2150,56 unequal: No Solution
Exploring Operation: 86+25=111, Resulting Numbers: [111]
111,56 unequal: No Solution
Exploring Operation: 86-25=61, Resulting Numbers: [61]
61,56 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
54,
32,
41,
4
] | 20 | [
"54-41=13",
"4*13=52",
"52-32=20"
] | Current State: 20:[54, 32, 41, 4], Operations: []
Exploring Operation: 54-41=13, Resulting Numbers: [32, 4, 13]
Generated Node #2: [32, 4, 13] from Operation: 54-41=13
Current State: 20:[32, 4, 13], Operations: ['54-41=13']
Exploring Operation: 4*13=52, Resulting Numbers: [32, 52]
Generated Node #3: [32, 52] from Operation: 4*13=52
Current State: 20:[32, 52], Operations: ['54-41=13', '4*13=52']
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[54, 32, 41, 4], Operations: []
Exploring Operation: 54-41=13, Resulting Numbers: [32, 4, 13]
Generated Node #0,0: 20:[32, 4, 13] Operation: 54-41=13
Exploring Operation: 54-32=22, Resulting Numbers: [41, 4, 22]
Generated Node #0,1: 20:[41, 4, 22] Operation: 54-32=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[32, 4, 13], Operations: ['54-41=13']
Exploring Operation: 32-13=19, Resulting Numbers: [4, 19]
Generated Node #0,0,0: 20:[4, 19] Operation: 32-13=19
Exploring Operation: 32/4=8, Resulting Numbers: [13, 8]
Generated Node #0,0,1: 20:[13, 8] Operation: 32/4=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 20:[4, 19], Operations: ['54-41=13', '32-13=19']
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,20 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,20 unequal: No Solution
No 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: 20:[13, 8], Operations: ['54-41=13', '32/4=8']
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,20 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: 20:[41, 4, 22], Operations: ['54-32=22']
Exploring Operation: 41-4=37, Resulting Numbers: [22, 37]
Generated Node #0,1,0: 20:[22, 37] Operation: 41-4=37
Exploring Operation: 41-22=19, Resulting Numbers: [4, 19]
Generated Node #0,1,1: 20:[4, 19] Operation: 41-22=19
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 20:[4, 19], Operations: ['54-32=22', '41-22=19']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,20 unequal: No Solution
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,20 unequal: No Solution
No 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: 20:[22, 37], Operations: ['54-32=22', '41-4=37']
Exploring Operation: 22+37=59, Resulting Numbers: [59]
59,20 unequal: No Solution
Exploring Operation: 37-22=15, Resulting Numbers: [15]
15,20 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 |
[
40,
49,
24,
28
] | 46 | [
"40*49=1960",
"1960/28=70",
"70-24=46"
] | Current State: 46:[40, 49, 24, 28], Operations: []
Exploring Operation: 40*49=1960, Resulting Numbers: [24, 28, 1960]
Generated Node #2: [24, 28, 1960] from Operation: 40*49=1960
Current State: 46:[24, 28, 1960], Operations: ['40*49=1960']
Exploring Operation: 1960/28=70, Resulting Numbers: [24, 70]
Generated Node #3: [24, 70] from Operation: 1960/28=70
Current State: 46:[24, 70], Operations: ['40*49=1960', '1960/28=70']
Exploring Operation: 70-24=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[40, 49, 24, 28], Operations: []
Exploring Operation: 40-28=12, Resulting Numbers: [49, 24, 12]
Generated Node #0,0: 46:[49, 24, 12] Operation: 40-28=12
Exploring Operation: 49-28=21, Resulting Numbers: [40, 24, 21]
Generated Node #0,1: 46:[40, 24, 21] Operation: 49-28=21
Exploring Operation: 49-24=25, Resulting Numbers: [40, 28, 25]
Generated Node #0,2: 46:[40, 28, 25] Operation: 49-24=25
Exploring Operation: 28-24=4, Resulting Numbers: [40, 49, 4]
Generated Node #0,3: 46:[40, 49, 4] Operation: 28-24=4
Exploring Operation: 49-40=9, Resulting Numbers: [24, 28, 9]
Generated Node #0,4: 46:[24, 28, 9] Operation: 49-40=9
Moving to Node #0,1
Current State: 46:[40, 24, 21], Operations: ['49-28=21']
Exploring Operation: 24+21=45, Resulting Numbers: [40, 45]
Generated Node #0,1,0: 46:[40, 45] Operation: 24+21=45
Exploring Operation: 40-24=16, Resulting Numbers: [21, 16]
Generated Node #0,1,1: 46:[21, 16] Operation: 40-24=16
Exploring Operation: 24-21=3, Resulting Numbers: [40, 3]
Generated Node #0,1,2: 46:[40, 3] Operation: 24-21=3
Exploring Operation: 40+21=61, Resulting Numbers: [24, 61]
Generated Node #0,1,3: 46:[24, 61] Operation: 40+21=61
Exploring Operation: 40-21=19, Resulting Numbers: [24, 19]
Generated Node #0,1,4: 46:[24, 19] Operation: 40-21=19
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 46:[24, 19], Operations: ['49-28=21', '40-21=19']
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,46 unequal: No Solution
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,46 unequal: No Solution
Exploring Operation: 24*19=456, Resulting Numbers: [456]
456,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 46:[40, 45], Operations: ['49-28=21', '24+21=45']
Exploring Operation: 40+45=85, Resulting Numbers: [85]
85,46 unequal: No Solution
Exploring Operation: 45-40=5, Resulting Numbers: [5]
5,46 unequal: No Solution
Exploring Operation: 40*45=1800, Resulting Numbers: [1800]
1800,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 46:[40, 3], Operations: ['49-28=21', '24-21=3']
Exploring Operation: 40*3=120, Resulting Numbers: [120]
120,46 unequal: No Solution
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,46 unequal: No Solution
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 46:[21, 16], Operations: ['49-28=21', '40-24=16']
Exploring Operation: 21*16=336, Resulting Numbers: [336]
336,46 unequal: No Solution
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,46 unequal: No Solution
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 46:[24, 61], Operations: ['49-28=21', '40+21=61']
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Exploring Operation: 24+61=85, Resulting Numbers: [85]
85,46 unequal: No Solution
Exploring Operation: 24*61=1464, Resulting Numbers: [1464]
1464,46 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: 46:[40, 49, 4], Operations: ['28-24=4']
Exploring Operation: 49-40=9, Resulting Numbers: [4, 9]
Generated Node #0,3,0: 46:[4, 9] Operation: 49-40=9
Exploring Operation: 49-4=45, Resulting Numbers: [40, 45]
Generated Node #0,3,1: 46:[40, 45] Operation: 49-4=45
Exploring Operation: 40-4=36, Resulting Numbers: [49, 36]
Generated Node #0,3,2: 46:[49, 36] Operation: 40-4=36
Exploring Operation: 40+4=44, Resulting Numbers: [49, 44]
Generated Node #0,3,3: 46:[49, 44] Operation: 40+4=44
Exploring Operation: 40/4=10, Resulting Numbers: [49, 10]
Generated Node #0,3,4: 46:[49, 10] Operation: 40/4=10
Moving to Node #0,2
Current State: 46:[40, 28, 25], Operations: ['49-24=25']
Exploring Operation: 28-25=3, Resulting Numbers: [40, 3]
Generated Node #0,2,0: 46:[40, 3] Operation: 28-25=3
Exploring Operation: 40-28=12, Resulting Numbers: [25, 12]
Generated Node #0,2,1: 46:[25, 12] Operation: 40-28=12
Exploring Operation: 28+25=53, Resulting Numbers: [40, 53]
Generated Node #0,2,2: 46:[40, 53] Operation: 28+25=53
Exploring Operation: 40+28=68, Resulting Numbers: [25, 68]
Generated Node #0,2,3: 46:[25, 68] Operation: 40+28=68
Exploring Operation: 40-25=15, Resulting Numbers: [28, 15]
Generated Node #0,2,4: 46:[28, 15] Operation: 40-25=15
Moving to Node #0,4
Current State: 46:[24, 28, 9], Operations: ['49-40=9']
Exploring Operation: 28-24=4, Resulting Numbers: [9, 4]
Generated Node #0,4,0: 46:[9, 4] Operation: 28-24=4
Exploring Operation: 28+9=37, Resulting Numbers: [24, 37]
Generated Node #0,4,1: 46:[24, 37] Operation: 28+9=37
Exploring Operation: 28-9=19, Resulting Numbers: [24, 19]
Generated Node #0,4,2: 46:[24, 19] Operation: 28-9=19
Exploring Operation: 24-9=15, Resulting Numbers: [28, 15]
Generated Node #0,4,3: 46:[28, 15] Operation: 24-9=15
Exploring Operation: 24+28=52, Resulting Numbers: [9, 52]
Generated Node #0,4,4: 46:[9, 52] Operation: 24+28=52
Moving to Node #0,0
Current State: 46:[49, 24, 12], Operations: ['40-28=12']
Exploring Operation: 24/12=2, Resulting Numbers: [49, 2]
Generated Node #0,0,0: 46:[49, 2] Operation: 24/12=2
Exploring Operation: 49-12=37, Resulting Numbers: [24, 37]
Generated Node #0,0,1: 46:[24, 37] Operation: 49-12=37
Exploring Operation: 24+12=36, Resulting Numbers: [49, 36]
Generated Node #0,0,2: 46:[49, 36] Operation: 24+12=36
Exploring Operation: 49-24=25, Resulting Numbers: [12, 25]
Generated Node #0,0,3: 46:[12, 25] Operation: 49-24=25
Exploring Operation: 24-12=12, Resulting Numbers: [49, 12]
Generated Node #0,0,4: 46:[49, 12] Operation: 24-12=12
Moving to Node #0,0,0
Current State: 46:[49, 2], Operations: ['40-28=12', '24/12=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,46 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,46 unequal: No Solution
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,46 unequal: No Solution
Moving to Node #0,3,3
Current State: 46:[49, 44], Operations: ['28-24=4', '40+4=44']
Exploring Operation: 49-44=5, Resulting Numbers: [5]
5,46 unequal: No Solution
Exploring Operation: 49+44=93, Resulting Numbers: [93]
93,46 unequal: No Solution
Exploring Operation: 49*44=2156, Resulting Numbers: [2156]
2156,46 unequal: No Solution
Moving to Node #0,4,2
Current State: 46:[24, 19], Operations: ['49-40=9', '28-9=19']
Exploring Operation: 24*19=456, Resulting Numbers: [456]
456,46 unequal: No Solution
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,46 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,46 unequal: No Solution
Moving to Node #0,2,0
Current State: 46:[40, 3], Operations: ['49-24=25', '28-25=3']
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,46 unequal: No Solution
Exploring Operation: 40*3=120, Resulting Numbers: [120]
120,46 unequal: No Solution
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Moving to Node #0,3,1
Current State: 46:[40, 45], Operations: ['28-24=4', '49-4=45']
Exploring Operation: 40*45=1800, Resulting Numbers: [1800]
1800,46 unequal: No Solution
Exploring Operation: 45-40=5, Resulting Numbers: [5]
5,46 unequal: No Solution
Exploring Operation: 40+45=85, Resulting Numbers: [85]
85,46 unequal: No Solution
Moving to Node #0,3,0
Current State: 46:[4, 9], Operations: ['28-24=4', '49-40=9']
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,46 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,46 unequal: No Solution
Moving to Node #0,4,0
Current State: 46:[9, 4], Operations: ['49-40=9', '28-24=4']
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,46 unequal: No Solution
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,46 unequal: No Solution
Moving to Node #0,4,1
Current State: 46:[24, 37], Operations: ['49-40=9', '28+9=37']
Exploring Operation: 24*37=888, Resulting Numbers: [888]
888,46 unequal: No Solution
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 24+37=61, Resulting Numbers: [61]
61,46 unequal: No Solution
Moving to Node #0,0,1
Current State: 46:[24, 37], Operations: ['40-28=12', '49-12=37']
Exploring Operation: 24*37=888, Resulting Numbers: [888]
888,46 unequal: No Solution
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 24+37=61, Resulting Numbers: [61]
61,46 unequal: No Solution
Moving to Node #0,3,4
Current State: 46:[49, 10], Operations: ['28-24=4', '40/4=10']
Exploring Operation: 49*10=490, Resulting Numbers: [490]
490,46 unequal: No Solution
Exploring Operation: 49+10=59, Resulting Numbers: [59]
59,46 unequal: No Solution
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,46 unequal: No Solution
Moving to Node #0,2,1
Current State: 46:[25, 12], Operations: ['49-24=25', '40-28=12']
Exploring Operation: 25*12=300, Resulting Numbers: [300]
300,46 unequal: No Solution
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Moving to Node #0,0,3
Current State: 46:[12, 25], Operations: ['40-28=12', '49-24=25']
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 12+25=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Exploring Operation: 12*25=300, Resulting Numbers: [300]
300,46 unequal: No Solution
Moving to Node #0,4,3
Current State: 46:[28, 15], Operations: ['49-40=9', '24-9=15']
Exploring Operation: 28*15=420, Resulting Numbers: [420]
420,46 unequal: No Solution
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 28+15=43, Resulting Numbers: [43]
43,46 unequal: No Solution
Moving to Node #0,0,2
Current State: 46:[49, 36], Operations: ['40-28=12', '24+12=36']
Exploring Operation: 49-36=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 49+36=85, Resulting Numbers: [85]
85,46 unequal: No Solution
Exploring Operation: 49*36=1764, Resulting Numbers: [1764]
1764,46 unequal: No Solution
Moving to Node #0,2,4
Current State: 46:[28, 15], Operations: ['49-24=25', '40-25=15']
Exploring Operation: 28+15=43, Resulting Numbers: [43]
43,46 unequal: No Solution
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 28*15=420, Resulting Numbers: [420]
420,46 unequal: No Solution
Moving to Node #0,4,4
Current State: 46:[9, 52], Operations: ['49-40=9', '24+28=52']
Exploring Operation: 52-9=43, Resulting Numbers: [43]
43,46 unequal: No Solution
Exploring Operation: 9*52=468, Resulting Numbers: [468]
468,46 unequal: No Solution
Exploring Operation: 9+52=61, Resulting Numbers: [61]
61,46 unequal: No Solution
Moving to Node #0,3,2
Current State: 46:[49, 36], Operations: ['28-24=4', '40-4=36']
Exploring Operation: 49+36=85, Resulting Numbers: [85]
85,46 unequal: No Solution
Exploring Operation: 49-36=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 49*36=1764, Resulting Numbers: [1764]
1764,46 unequal: No Solution
Moving to Node #0,2,2
Current State: 46:[40, 53], Operations: ['49-24=25', '28+25=53']
Exploring Operation: 40+53=93, Resulting Numbers: [93]
93,46 unequal: No Solution
Exploring Operation: 40*53=2120, Resulting Numbers: [2120]
2120,46 unequal: No Solution
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Moving to Node #0,0,4
Current State: 46:[49, 12], Operations: ['40-28=12', '24-12=12']
Exploring Operation: 49+12=61, Resulting Numbers: [61]
61,46 unequal: No Solution
Exploring Operation: 49*12=588, Resulting Numbers: [588]
588,46 unequal: No Solution
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Moving to Node #0,2,3
Current State: 46:[25, 68], Operations: ['49-24=25', '40+28=68']
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,46 unequal: No Solution
Exploring Operation: 25+68=93, Resulting Numbers: [93]
93,46 unequal: No Solution
Exploring Operation: 25*68=1700, Resulting Numbers: [1700]
1700,46 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
7,
38,
15,
98
] | 28 | [
"98-38=60",
"7*60=420",
"420/15=28"
] | Current State: 28:[7, 38, 15, 98], Operations: []
Exploring Operation: 98-38=60, Resulting Numbers: [7, 15, 60]
Generated Node #2: [7, 15, 60] from Operation: 98-38=60
Current State: 28:[7, 15, 60], Operations: ['98-38=60']
Exploring Operation: 7*60=420, Resulting Numbers: [15, 420]
Generated Node #3: [15, 420] from Operation: 7*60=420
Current State: 28:[15, 420], Operations: ['98-38=60', '7*60=420']
Exploring Operation: 420/15=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[7, 38, 15, 98], Operations: []
Exploring Operation: 98/7=14, Resulting Numbers: [38, 15, 14]
Generated Node #0,0: 28:[38, 15, 14] Operation: 98/7=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[38, 15, 14], Operations: ['98/7=14']
Exploring Operation: 38-15=23, Resulting Numbers: [14, 23]
Generated Node #0,0,0: 28:[14, 23] Operation: 38-15=23
Moving to Node #0,0,0
Current State: 28:[14, 23], Operations: ['98/7=14', '38-15=23']
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
57,
40,
99,
33
] | 66 | [
"57+40=97",
"99-97=2",
"33*2=66"
] | Current State: 66:[57, 40, 99, 33], Operations: []
Exploring Operation: 57+40=97, Resulting Numbers: [99, 33, 97]
Generated Node #2: [99, 33, 97] from Operation: 57+40=97
Current State: 66:[99, 33, 97], Operations: ['57+40=97']
Exploring Operation: 99-97=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 99-97=2
Current State: 66:[33, 2], Operations: ['57+40=97', '99-97=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[57, 40, 99, 33], Operations: []
Exploring Operation: 99-57=42, Resulting Numbers: [40, 33, 42]
Generated Node #0,0: 66:[40, 33, 42] Operation: 99-57=42
Exploring Operation: 99-40=59, Resulting Numbers: [57, 33, 59]
Generated Node #0,1: 66:[57, 33, 59] Operation: 99-40=59
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[40, 33, 42], Operations: ['99-57=42']
Exploring Operation: 42-33=9, Resulting Numbers: [40, 9]
Generated Node #0,0,0: 66:[40, 9] Operation: 42-33=9
Exploring Operation: 42-40=2, Resulting Numbers: [33, 2]
Generated Node #0,0,1: 66:[33, 2] Operation: 42-40=2
Moving to Node #0,0,1
Current State: 66:[33, 2], Operations: ['99-57=42', '42-40=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[57, 40, 99, 33], Operations: []
Exploring Operation: 99-57=42, Resulting Numbers: [40, 33, 42]
Generated Node #0,0: 66:[40, 33, 42] Operation: 99-57=42
Moving to Node #0,0
Current State: 66:[40, 33, 42], Operations: ['99-57=42']
Exploring Operation: 42-40=2, Resulting Numbers: [33, 2]
Generated Node #0,0,1: 66:[33, 2] Operation: 42-40=2
Moving to Node #0,0,1
Current State: 66:[33, 2], Operations: ['99-57=42', '42-40=2']
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
38,
66,
93,
39
] | 50 | [
"38+66=104",
"93-39=54",
"104-54=50"
] | Current State: 50:[38, 66, 93, 39], Operations: []
Exploring Operation: 38+66=104, Resulting Numbers: [93, 39, 104]
Generated Node #2: [93, 39, 104] from Operation: 38+66=104
Current State: 50:[93, 39, 104], Operations: ['38+66=104']
Exploring Operation: 93-39=54, Resulting Numbers: [104, 54]
Generated Node #3: [104, 54] from Operation: 93-39=54
Current State: 50:[104, 54], Operations: ['38+66=104', '93-39=54']
Exploring Operation: 104-54=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[38, 66, 93, 39], Operations: []
Exploring Operation: 93-66=27, Resulting Numbers: [38, 39, 27]
Generated Node #0,0: 50:[38, 39, 27] Operation: 93-66=27
Exploring Operation: 93-38=55, Resulting Numbers: [66, 39, 55]
Generated Node #0,1: 50:[66, 39, 55] Operation: 93-38=55
Exploring Operation: 93-39=54, Resulting Numbers: [38, 66, 54]
Generated Node #0,2: 50:[38, 66, 54] Operation: 93-39=54
Exploring Operation: 66-38=28, Resulting Numbers: [93, 39, 28]
Generated Node #0,3: 50:[93, 39, 28] Operation: 66-38=28
Exploring Operation: 66-39=27, Resulting Numbers: [38, 93, 27]
Generated Node #0,4: 50:[38, 93, 27] Operation: 66-39=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[38, 39, 27], Operations: ['93-66=27']
Exploring Operation: 39-27=12, Resulting Numbers: [38, 12]
Generated Node #0,0,0: 50:[38, 12] Operation: 39-27=12
Exploring Operation: 38+27=65, Resulting Numbers: [39, 65]
Generated Node #0,0,1: 50:[39, 65] Operation: 38+27=65
Exploring Operation: 38-27=11, Resulting Numbers: [39, 11]
Generated Node #0,0,2: 50:[39, 11] Operation: 38-27=11
Exploring Operation: 39-38=1, Resulting Numbers: [27, 1]
Generated Node #0,0,3: 50:[27, 1] Operation: 39-38=1
Exploring Operation: 39+27=66, Resulting Numbers: [38, 66]
Generated Node #0,0,4: 50:[38, 66] Operation: 39+27=66
Moving to Node #0,0,3
Current State: 50:[27, 1], Operations: ['93-66=27', '39-38=1']
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,50 unequal: No Solution
Exploring Operation: 27+1=28, Resulting Numbers: [28]
28,50 unequal: No Solution
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[39, 11], Operations: ['93-66=27', '38-27=11']
Exploring Operation: 39+11=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[38, 66, 93, 39], Operations: []
Exploring Operation: 93-66=27, Resulting Numbers: [38, 39, 27]
Generated Node #0,0: 50:[38, 39, 27] Operation: 93-66=27
Moving to Node #0,0
Current State: 50:[38, 39, 27], Operations: ['93-66=27']
Exploring Operation: 38-27=11, Resulting Numbers: [39, 11]
Generated Node #0,0,2: 50:[39, 11] Operation: 38-27=11
Moving to Node #0,0,2
Current State: 50:[39, 11], Operations: ['93-66=27', '38-27=11']
Exploring Operation: 39+11=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
79,
48,
87,
33
] | 27 | [
"87-79=8",
"48/8=6",
"33-6=27"
] | Current State: 27:[79, 48, 87, 33], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [48, 33, 8]
Generated Node #2: [48, 33, 8] from Operation: 87-79=8
Current State: 27:[48, 33, 8], Operations: ['87-79=8']
Exploring Operation: 48/8=6, Resulting Numbers: [33, 6]
Generated Node #3: [33, 6] from Operation: 48/8=6
Current State: 27:[33, 6], Operations: ['87-79=8', '48/8=6']
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[79, 48, 87, 33], Operations: []
Exploring Operation: 87-79=8, Resulting Numbers: [48, 33, 8]
Generated Node #0,0: 27:[48, 33, 8] Operation: 87-79=8
Moving to Node #0,0
Current State: 27:[48, 33, 8], Operations: ['87-79=8']
Exploring Operation: 48-33=15, Resulting Numbers: [8, 15]
Generated Node #0,0,0: 27:[8, 15] Operation: 48-33=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 27:[8, 15], Operations: ['87-79=8', '48-33=15']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,27 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 |
[
64,
31,
68,
35
] | 34 | [
"64-31=33",
"35-33=2",
"68/2=34"
] | Current State: 34:[64, 31, 68, 35], Operations: []
Exploring Operation: 64-31=33, Resulting Numbers: [68, 35, 33]
Generated Node #2: [68, 35, 33] from Operation: 64-31=33
Current State: 34:[68, 35, 33], Operations: ['64-31=33']
Exploring Operation: 35-33=2, Resulting Numbers: [68, 2]
Generated Node #3: [68, 2] from Operation: 35-33=2
Current State: 34:[68, 2], Operations: ['64-31=33', '35-33=2']
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[64, 31, 68, 35], Operations: []
Exploring Operation: 68-31=37, Resulting Numbers: [64, 35, 37]
Generated Node #0,0: 34:[64, 35, 37] Operation: 68-31=37
Exploring Operation: 68-64=4, Resulting Numbers: [31, 35, 4]
Generated Node #0,1: 34:[31, 35, 4] Operation: 68-64=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[31, 35, 4], Operations: ['68-64=4']
Exploring Operation: 35-31=4, Resulting Numbers: [4, 4]
Generated Node #0,1,0: 34:[4, 4] Operation: 35-31=4
Exploring Operation: 31+4=35, Resulting Numbers: [35, 35]
Generated Node #0,1,1: 34:[35, 35] Operation: 31+4=35
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 34:[35, 35], Operations: ['68-64=4', '31+4=35']
Exploring Operation: 35-35=0, Resulting Numbers: [0]
0,34 unequal: No Solution
Exploring Operation: 35/35=1, Resulting Numbers: [1]
1,34 unequal: No Solution
No 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: 34:[4, 4], Operations: ['68-64=4', '35-31=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,34 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: 34:[64, 35, 37], Operations: ['68-31=37']
Exploring Operation: 64-35=29, Resulting Numbers: [37, 29]
Generated Node #0,0,0: 34:[37, 29] Operation: 64-35=29
Exploring Operation: 64-37=27, Resulting Numbers: [35, 27]
Generated Node #0,0,1: 34:[35, 27] Operation: 64-37=27
Moving to Node #0,0,0
Current State: 34:[37, 29], Operations: ['68-31=37', '64-35=29']
Exploring Operation: 37-29=8, Resulting Numbers: [8]
8,34 unequal: No Solution
Exploring Operation: 37+29=66, Resulting Numbers: [66]
66,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[35, 27], Operations: ['68-31=37', '64-37=27']
Exploring Operation: 35-27=8, Resulting Numbers: [8]
8,34 unequal: No Solution
Exploring Operation: 35+27=62, Resulting Numbers: [62]
62,34 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 |
[
92,
81,
50,
22
] | 61 | [
"92-81=11",
"50+22=72",
"72-11=61"
] | Current State: 61:[92, 81, 50, 22], Operations: []
Exploring Operation: 92-81=11, Resulting Numbers: [50, 22, 11]
Generated Node #2: [50, 22, 11] from Operation: 92-81=11
Current State: 61:[50, 22, 11], Operations: ['92-81=11']
Exploring Operation: 50+22=72, Resulting Numbers: [11, 72]
Generated Node #3: [11, 72] from Operation: 50+22=72
Current State: 61:[11, 72], Operations: ['92-81=11', '50+22=72']
Exploring Operation: 72-11=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[92, 81, 50, 22], Operations: []
Exploring Operation: 81-22=59, Resulting Numbers: [92, 50, 59]
Generated Node #0,0: 61:[92, 50, 59] Operation: 81-22=59
Exploring Operation: 92-22=70, Resulting Numbers: [81, 50, 70]
Generated Node #0,1: 61:[81, 50, 70] Operation: 92-22=70
Moving to Node #0,1
Current State: 61:[81, 50, 70], Operations: ['92-22=70']
Exploring Operation: 81-70=11, Resulting Numbers: [50, 11]
Generated Node #0,1,0: 61:[50, 11] Operation: 81-70=11
Exploring Operation: 81-50=31, Resulting Numbers: [70, 31]
Generated Node #0,1,1: 61:[70, 31] Operation: 81-50=31
Moving to Node #0,0
Current State: 61:[92, 50, 59], Operations: ['81-22=59']
Exploring Operation: 92-59=33, Resulting Numbers: [50, 33]
Generated Node #0,0,0: 61:[50, 33] Operation: 92-59=33
Exploring Operation: 92-50=42, Resulting Numbers: [59, 42]
Generated Node #0,0,1: 61:[59, 42] Operation: 92-50=42
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 61:[59, 42], Operations: ['81-22=59', '92-50=42']
Exploring Operation: 59-42=17, Resulting Numbers: [17]
17,61 unequal: No Solution
Exploring Operation: 59+42=101, Resulting Numbers: [101]
101,61 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 #0,0,0
Current State: 61:[50, 33], Operations: ['81-22=59', '92-59=33']
Exploring Operation: 50+33=83, Resulting Numbers: [83]
83,61 unequal: No Solution
Exploring Operation: 50-33=17, Resulting Numbers: [17]
17,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 61:[70, 31], Operations: ['92-22=70', '81-50=31']
Exploring Operation: 70-31=39, Resulting Numbers: [39]
39,61 unequal: No Solution
Exploring Operation: 70+31=101, Resulting Numbers: [101]
101,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[50, 11], Operations: ['92-22=70', '81-70=11']
Exploring Operation: 50-11=39, Resulting Numbers: [39]
39,61 unequal: No Solution
Exploring Operation: 50+11=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[92, 81, 50, 22], Operations: []
Exploring Operation: 92-22=70, Resulting Numbers: [81, 50, 70]
Generated Node #0,1: 61:[81, 50, 70] Operation: 92-22=70
Moving to Node #0,1
Current State: 61:[81, 50, 70], Operations: ['92-22=70']
Exploring Operation: 81-70=11, Resulting Numbers: [50, 11]
Generated Node #0,1,0: 61:[50, 11] Operation: 81-70=11
Moving to Node #0,1,0
Current State: 61:[50, 11], Operations: ['92-22=70', '81-70=11']
Exploring Operation: 50+11=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 0.984375 | hs_2 | sum_heuristic |
[
3,
92,
8,
5
] | 11 | [
"3+92=95",
"95/5=19",
"19-8=11"
] | Current State: 11:[3, 92, 8, 5], Operations: []
Exploring Operation: 3+92=95, Resulting Numbers: [8, 5, 95]
Generated Node #2: [8, 5, 95] from Operation: 3+92=95
Current State: 11:[8, 5, 95], Operations: ['3+92=95']
Exploring Operation: 95/5=19, Resulting Numbers: [8, 19]
Generated Node #3: [8, 19] from Operation: 95/5=19
Current State: 11:[8, 19], Operations: ['3+92=95', '95/5=19']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[3, 92, 8, 5], Operations: []
Exploring Operation: 92-8=84, Resulting Numbers: [3, 5, 84]
Generated Node #0,0: 11:[3, 5, 84] Operation: 92-8=84
Exploring Operation: 3+8=11, Resulting Numbers: [92, 5, 11]
Generated Node #0,1: 11:[92, 5, 11] Operation: 3+8=11
Exploring Operation: 92-5=87, Resulting Numbers: [3, 8, 87]
Generated Node #0,2: 11:[3, 8, 87] Operation: 92-5=87
Exploring Operation: 92-3=89, Resulting Numbers: [8, 5, 89]
Generated Node #0,3: 11:[8, 5, 89] Operation: 92-3=89
Exploring Operation: 3+5=8, Resulting Numbers: [92, 8, 8]
Generated Node #0,4: 11:[92, 8, 8] Operation: 3+5=8
Moving to Node #0,0
Current State: 11:[3, 5, 84], Operations: ['92-8=84']
Exploring Operation: 3*5=15, Resulting Numbers: [84, 15]
Generated Node #0,0,0: 11:[84, 15] Operation: 3*5=15
Exploring Operation: 84/3=28, Resulting Numbers: [5, 28]
Generated Node #0,0,1: 11:[5, 28] Operation: 84/3=28
Exploring Operation: 84-3=81, Resulting Numbers: [5, 81]
Generated Node #0,0,2: 11:[5, 81] Operation: 84-3=81
Exploring Operation: 84-5=79, Resulting Numbers: [3, 79]
Generated Node #0,0,3: 11:[3, 79] Operation: 84-5=79
Exploring Operation: 3+5=8, Resulting Numbers: [84, 8]
Generated Node #0,0,4: 11:[84, 8] Operation: 3+5=8
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 11:[5, 28], Operations: ['92-8=84', '84/3=28']
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,11 unequal: No Solution
Exploring Operation: 5*28=140, Resulting Numbers: [140]
140,11 unequal: No Solution
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 11:[5, 81], Operations: ['92-8=84', '84-3=81']
Exploring Operation: 5*81=405, Resulting Numbers: [405]
405,11 unequal: No Solution
Exploring Operation: 5+81=86, Resulting Numbers: [86]
86,11 unequal: No Solution
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 11:[3, 79], Operations: ['92-8=84', '84-5=79']
Exploring Operation: 79-3=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 3+79=82, Resulting Numbers: [82]
82,11 unequal: No Solution
Exploring Operation: 3*79=237, Resulting Numbers: [237]
237,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 11:[84, 8], Operations: ['92-8=84', '3+5=8']
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 84+8=92, Resulting Numbers: [92]
92,11 unequal: No Solution
Exploring Operation: 84*8=672, Resulting Numbers: [672]
672,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[84, 15], Operations: ['92-8=84', '3*5=15']
Exploring Operation: 84*15=1260, Resulting Numbers: [1260]
1260,11 unequal: No Solution
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,11 unequal: No Solution
Exploring Operation: 84+15=99, Resulting Numbers: [99]
99,11 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: 11:[3, 8, 87], Operations: ['92-5=87']
Exploring Operation: 3+8=11, Resulting Numbers: [87, 11]
Generated Node #0,2,0: 11:[87, 11] Operation: 3+8=11
Exploring Operation: 87-8=79, Resulting Numbers: [3, 79]
Generated Node #0,2,1: 11:[3, 79] Operation: 87-8=79
Exploring Operation: 87-3=84, Resulting Numbers: [8, 84]
Generated Node #0,2,2: 11:[8, 84] Operation: 87-3=84
Exploring Operation: 8-3=5, Resulting Numbers: [87, 5]
Generated Node #0,2,3: 11:[87, 5] Operation: 8-3=5
Exploring Operation: 87/3=29, Resulting Numbers: [8, 29]
Generated Node #0,2,4: 11:[8, 29] Operation: 87/3=29
Moving to Node #0,4
Current State: 11:[92, 8, 8], Operations: ['3+5=8']
Exploring Operation: 8/8=1, Resulting Numbers: [92, 1]
Generated Node #0,4,0: 11:[92, 1] Operation: 8/8=1
Exploring Operation: 92-8=84, Resulting Numbers: [8, 84]
Generated Node #0,4,1: 11:[8, 84] Operation: 92-8=84
Exploring Operation: 92-8=84, Resulting Numbers: [8, 84]
Generated Node #0,4,2: 11:[8, 84] Operation: 92-8=84
Exploring Operation: 92+8=100, Resulting Numbers: [8, 100]
Generated Node #0,4,3: 11:[8, 100] Operation: 92+8=100
Exploring Operation: 8+8=16, Resulting Numbers: [92, 16]
Generated Node #0,4,4: 11:[92, 16] Operation: 8+8=16
Moving to Node #0,1
Current State: 11:[92, 5, 11], Operations: ['3+8=11']
Exploring Operation: 92-11=81, Resulting Numbers: [5, 81]
Generated Node #0,1,0: 11:[5, 81] Operation: 92-11=81
Exploring Operation: 92+5=97, Resulting Numbers: [11, 97]
Generated Node #0,1,1: 11:[11, 97] Operation: 92+5=97
Exploring Operation: 11-5=6, Resulting Numbers: [92, 6]
Generated Node #0,1,2: 11:[92, 6] Operation: 11-5=6
Exploring Operation: 5+11=16, Resulting Numbers: [92, 16]
Generated Node #0,1,3: 11:[92, 16] Operation: 5+11=16
Exploring Operation: 92-5=87, Resulting Numbers: [11, 87]
Generated Node #0,1,4: 11:[11, 87] Operation: 92-5=87
Moving to Node #0,3
Current State: 11:[8, 5, 89], Operations: ['92-3=89']
Exploring Operation: 89-5=84, Resulting Numbers: [8, 84]
Generated Node #0,3,0: 11:[8, 84] Operation: 89-5=84
Exploring Operation: 5+89=94, Resulting Numbers: [8, 94]
Generated Node #0,3,1: 11:[8, 94] Operation: 5+89=94
Exploring Operation: 89-8=81, Resulting Numbers: [5, 81]
Generated Node #0,3,2: 11:[5, 81] Operation: 89-8=81
Exploring Operation: 8+5=13, Resulting Numbers: [89, 13]
Generated Node #0,3,3: 11:[89, 13] Operation: 8+5=13
Exploring Operation: 8-5=3, Resulting Numbers: [89, 3]
Generated Node #0,3,4: 11:[89, 3] Operation: 8-5=3
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 11:[8, 84], Operations: ['92-3=89', '89-5=84']
Exploring Operation: 8+84=92, Resulting Numbers: [92]
92,11 unequal: No Solution
Exploring Operation: 8*84=672, Resulting Numbers: [672]
672,11 unequal: No Solution
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 11:[5, 81], Operations: ['92-3=89', '89-8=81']
Exploring Operation: 5+81=86, Resulting Numbers: [86]
86,11 unequal: No Solution
Exploring Operation: 5*81=405, Resulting Numbers: [405]
405,11 unequal: No Solution
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 11:[89, 13], Operations: ['92-3=89', '8+5=13']
Exploring Operation: 89-13=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 89+13=102, Resulting Numbers: [102]
102,11 unequal: No Solution
Exploring Operation: 89*13=1157, Resulting Numbers: [1157]
1157,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 11:[8, 94], Operations: ['92-3=89', '5+89=94']
Exploring Operation: 94-8=86, Resulting Numbers: [86]
86,11 unequal: No Solution
Exploring Operation: 8+94=102, Resulting Numbers: [102]
102,11 unequal: No Solution
Exploring Operation: 8*94=752, Resulting Numbers: [752]
752,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 11:[89, 3], Operations: ['92-3=89', '8-5=3']
Exploring Operation: 89*3=267, Resulting Numbers: [267]
267,11 unequal: No Solution
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,11 unequal: No Solution
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,4
Current State: 11:[8, 29], Operations: ['92-5=87', '87/3=29']
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Exploring Operation: 8+29=37, Resulting Numbers: [37]
37,11 unequal: No Solution
Exploring Operation: 8*29=232, Resulting Numbers: [232]
232,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[3, 79], Operations: ['92-5=87', '87-8=79']
Exploring Operation: 3+79=82, Resulting Numbers: [82]
82,11 unequal: No Solution
Exploring Operation: 79-3=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 3*79=237, Resulting Numbers: [237]
237,11 unequal: No Solution
Moving to Node #0,4,2
Current State: 11:[8, 84], Operations: ['3+5=8', '92-8=84']
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 8*84=672, Resulting Numbers: [672]
672,11 unequal: No Solution
Exploring Operation: 8+84=92, Resulting Numbers: [92]
92,11 unequal: No Solution
Moving to Node #0,4,1
Current State: 11:[8, 84], Operations: ['3+5=8', '92-8=84']
Exploring Operation: 8+84=92, Resulting Numbers: [92]
92,11 unequal: No Solution
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 8*84=672, Resulting Numbers: [672]
672,11 unequal: No Solution
Moving to Node #0,1,4
Current State: 11:[11, 87], Operations: ['3+8=11', '92-5=87']
Exploring Operation: 11*87=957, Resulting Numbers: [957]
957,11 unequal: No Solution
Exploring Operation: 87-11=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 11+87=98, Resulting Numbers: [98]
98,11 unequal: No Solution
Moving to Node #0,2,0
Current State: 11:[87, 11], Operations: ['92-5=87', '3+8=11']
Exploring Operation: 87-11=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 87+11=98, Resulting Numbers: [98]
98,11 unequal: No Solution
Exploring Operation: 87*11=957, Resulting Numbers: [957]
957,11 unequal: No Solution
Moving to Node #0,1,0
Current State: 11:[5, 81], Operations: ['3+8=11', '92-11=81']
Exploring Operation: 5*81=405, Resulting Numbers: [405]
405,11 unequal: No Solution
Exploring Operation: 5+81=86, Resulting Numbers: [86]
86,11 unequal: No Solution
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[8, 84], Operations: ['92-5=87', '87-3=84']
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 8+84=92, Resulting Numbers: [92]
92,11 unequal: No Solution
Exploring Operation: 8*84=672, Resulting Numbers: [672]
672,11 unequal: No Solution
Moving to Node #0,2,3
Current State: 11:[87, 5], Operations: ['92-5=87', '8-3=5']
Exploring Operation: 87-5=82, Resulting Numbers: [82]
82,11 unequal: No Solution
Exploring Operation: 87*5=435, Resulting Numbers: [435]
435,11 unequal: No Solution
Exploring Operation: 87+5=92, Resulting Numbers: [92]
92,11 unequal: No Solution
Moving to Node #0,1,2
Current State: 11:[92, 6], Operations: ['3+8=11', '11-5=6']
Exploring Operation: 92+6=98, Resulting Numbers: [98]
98,11 unequal: No Solution
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,11 unequal: No Solution
Exploring Operation: 92*6=552, Resulting Numbers: [552]
552,11 unequal: No Solution
Moving to Node #0,1,3
Current State: 11:[92, 16], Operations: ['3+8=11', '5+11=16']
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 92*16=1472, Resulting Numbers: [1472]
1472,11 unequal: No Solution
Exploring Operation: 92+16=108, Resulting Numbers: [108]
108,11 unequal: No Solution
Moving to Node #0,1,1
Current State: 11:[11, 97], Operations: ['3+8=11', '92+5=97']
Exploring Operation: 97-11=86, Resulting Numbers: [86]
86,11 unequal: No Solution
Exploring Operation: 11*97=1067, Resulting Numbers: [1067]
1067,11 unequal: No Solution
Exploring Operation: 11+97=108, Resulting Numbers: [108]
108,11 unequal: No Solution
Moving to Node #0,4,4
Current State: 11:[92, 16], Operations: ['3+5=8', '8+8=16']
Exploring Operation: 92*16=1472, Resulting Numbers: [1472]
1472,11 unequal: No Solution
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,11 unequal: No Solution
Exploring Operation: 92+16=108, Resulting Numbers: [108]
108,11 unequal: No Solution
Moving to Node #0,4,0
Current State: 11:[92, 1], Operations: ['3+5=8', '8/8=1']
Exploring Operation: 92/1=92, Resulting Numbers: [92]
92,11 unequal: No Solution
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,11 unequal: No Solution
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,11 unequal: No Solution
Exploring Operation: 92+1=93, Resulting Numbers: [93]
93,11 unequal: No Solution
Moving to Node #0,4,3
Current State: 11:[8, 100], Operations: ['3+5=8', '92+8=100']
Exploring Operation: 100-8=92, Resulting Numbers: [92]
92,11 unequal: No Solution
Exploring Operation: 8+100=108, Resulting Numbers: [108]
108,11 unequal: No Solution
Exploring Operation: 8*100=800, Resulting Numbers: [800]
800,11 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
34,
48,
69,
30
] | 57 | [
"34-30=4",
"48/4=12",
"69-12=57"
] | Current State: 57:[34, 48, 69, 30], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [48, 69, 4]
Generated Node #2: [48, 69, 4] from Operation: 34-30=4
Current State: 57:[48, 69, 4], Operations: ['34-30=4']
Exploring Operation: 48/4=12, Resulting Numbers: [69, 12]
Generated Node #3: [69, 12] from Operation: 48/4=12
Current State: 57:[69, 12], Operations: ['34-30=4', '48/4=12']
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[34, 48, 69, 30], Operations: []
Exploring Operation: 48-34=14, Resulting Numbers: [69, 30, 14]
Generated Node #0,0: 57:[69, 30, 14] Operation: 48-34=14
Exploring Operation: 34+30=64, Resulting Numbers: [48, 69, 64]
Generated Node #0,1: 57:[48, 69, 64] Operation: 34+30=64
Exploring Operation: 48-30=18, Resulting Numbers: [34, 69, 18]
Generated Node #0,2: 57:[34, 69, 18] Operation: 48-30=18
Exploring Operation: 69-48=21, Resulting Numbers: [34, 30, 21]
Generated Node #0,3: 57:[34, 30, 21] Operation: 69-48=21
Exploring Operation: 34-30=4, Resulting Numbers: [48, 69, 4]
Generated Node #0,4: 57:[48, 69, 4] Operation: 34-30=4
Moving to Node #0,4
Current State: 57:[48, 69, 4], Operations: ['34-30=4']
Exploring Operation: 48+4=52, Resulting Numbers: [69, 52]
Generated Node #0,4,0: 57:[69, 52] Operation: 48+4=52
Exploring Operation: 48-4=44, Resulting Numbers: [69, 44]
Generated Node #0,4,1: 57:[69, 44] Operation: 48-4=44
Exploring Operation: 48/4=12, Resulting Numbers: [69, 12]
Generated Node #0,4,2: 57:[69, 12] Operation: 48/4=12
Exploring Operation: 69-48=21, Resulting Numbers: [4, 21]
Generated Node #0,4,3: 57:[4, 21] Operation: 69-48=21
Exploring Operation: 69-4=65, Resulting Numbers: [48, 65]
Generated Node #0,4,4: 57:[48, 65] Operation: 69-4=65
Moving to Node #0,1
Current State: 57:[48, 69, 64], Operations: ['34+30=64']
Exploring Operation: 69-48=21, Resulting Numbers: [64, 21]
Generated Node #0,1,0: 57:[64, 21] Operation: 69-48=21
Exploring Operation: 48+64=112, Resulting Numbers: [69, 112]
Generated Node #0,1,1: 57:[69, 112] Operation: 48+64=112
Exploring Operation: 48+69=117, Resulting Numbers: [64, 117]
Generated Node #0,1,2: 57:[64, 117] Operation: 48+69=117
Exploring Operation: 69-64=5, Resulting Numbers: [48, 5]
Generated Node #0,1,3: 57:[48, 5] Operation: 69-64=5
Exploring Operation: 64-48=16, Resulting Numbers: [69, 16]
Generated Node #0,1,4: 57:[69, 16] Operation: 64-48=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 57:[64, 21], Operations: ['34+30=64', '69-48=21']
Exploring Operation: 64*21=1344, Resulting Numbers: [1344]
1344,57 unequal: No Solution
Exploring Operation: 64+21=85, Resulting Numbers: [85]
85,57 unequal: No Solution
Exploring Operation: 64-21=43, Resulting Numbers: [43]
43,57 unequal: No Solution
No 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: 57:[48, 5], Operations: ['34+30=64', '69-64=5']
Exploring Operation: 48*5=240, Resulting Numbers: [240]
240,57 unequal: No Solution
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,57 unequal: No Solution
Exploring Operation: 48+5=53, Resulting Numbers: [53]
53,57 unequal: No Solution
No 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: 57:[69, 16], Operations: ['34+30=64', '64-48=16']
Exploring Operation: 69+16=85, Resulting Numbers: [85]
85,57 unequal: No Solution
Exploring Operation: 69*16=1104, Resulting Numbers: [1104]
1104,57 unequal: No Solution
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,57 unequal: No Solution
No 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: 57:[69, 112], Operations: ['34+30=64', '48+64=112']
Exploring Operation: 69*112=7728, Resulting Numbers: [7728]
7728,57 unequal: No Solution
Exploring Operation: 69+112=181, Resulting Numbers: [181]
181,57 unequal: No Solution
Exploring Operation: 112-69=43, Resulting Numbers: [43]
43,57 unequal: No Solution
No 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: 57:[64, 117], Operations: ['34+30=64', '48+69=117']
Exploring Operation: 64*117=7488, Resulting Numbers: [7488]
7488,57 unequal: No Solution
Exploring Operation: 64+117=181, Resulting Numbers: [181]
181,57 unequal: No Solution
Exploring Operation: 117-64=53, Resulting Numbers: [53]
53,57 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: 57:[34, 30, 21], Operations: ['69-48=21']
Exploring Operation: 34+21=55, Resulting Numbers: [30, 55]
Generated Node #0,3,0: 57:[30, 55] Operation: 34+21=55
Exploring Operation: 34-30=4, Resulting Numbers: [21, 4]
Generated Node #0,3,1: 57:[21, 4] Operation: 34-30=4
Exploring Operation: 30+21=51, Resulting Numbers: [34, 51]
Generated Node #0,3,2: 57:[34, 51] Operation: 30+21=51
Exploring Operation: 34+30=64, Resulting Numbers: [21, 64]
Generated Node #0,3,3: 57:[21, 64] Operation: 34+30=64
Exploring Operation: 34-21=13, Resulting Numbers: [30, 13]
Generated Node #0,3,4: 57:[30, 13] Operation: 34-21=13
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 57:[21, 4], Operations: ['69-48=21', '34-30=4']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,57 unequal: No Solution
No 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: 57:[21, 64], Operations: ['69-48=21', '34+30=64']
Exploring Operation: 64-21=43, Resulting Numbers: [43]
43,57 unequal: No Solution
Exploring Operation: 21+64=85, Resulting Numbers: [85]
85,57 unequal: No Solution
Exploring Operation: 21*64=1344, Resulting Numbers: [1344]
1344,57 unequal: No Solution
No 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: 57:[30, 55], Operations: ['69-48=21', '34+21=55']
Exploring Operation: 30*55=1650, Resulting Numbers: [1650]
1650,57 unequal: No Solution
Exploring Operation: 55-30=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 30+55=85, Resulting Numbers: [85]
85,57 unequal: No Solution
No 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: 57:[30, 13], Operations: ['69-48=21', '34-21=13']
Exploring Operation: 30*13=390, Resulting Numbers: [390]
390,57 unequal: No Solution
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,57 unequal: No Solution
No 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: 57:[34, 51], Operations: ['69-48=21', '30+21=51']
Exploring Operation: 34+51=85, Resulting Numbers: [85]
85,57 unequal: No Solution
Exploring Operation: 34*51=1734, Resulting Numbers: [1734]
1734,57 unequal: No Solution
Exploring Operation: 51-34=17, Resulting Numbers: [17]
17,57 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: 57:[69, 30, 14], Operations: ['48-34=14']
Exploring Operation: 30-14=16, Resulting Numbers: [69, 16]
Generated Node #0,0,0: 57:[69, 16] Operation: 30-14=16
Exploring Operation: 30+14=44, Resulting Numbers: [69, 44]
Generated Node #0,0,1: 57:[69, 44] Operation: 30+14=44
Exploring Operation: 69-14=55, Resulting Numbers: [30, 55]
Generated Node #0,0,2: 57:[30, 55] Operation: 69-14=55
Exploring Operation: 69-30=39, Resulting Numbers: [14, 39]
Generated Node #0,0,3: 57:[14, 39] Operation: 69-30=39
Exploring Operation: 69+14=83, Resulting Numbers: [30, 83]
Generated Node #0,0,4: 57:[30, 83] Operation: 69+14=83
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 57:[30, 55], Operations: ['48-34=14', '69-14=55']
Exploring Operation: 30*55=1650, Resulting Numbers: [1650]
1650,57 unequal: No Solution
Exploring Operation: 30+55=85, Resulting Numbers: [85]
85,57 unequal: No Solution
Exploring Operation: 55-30=25, Resulting Numbers: [25]
25,57 unequal: No Solution
No 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: 57:[69, 16], Operations: ['48-34=14', '30-14=16']
Exploring Operation: 69*16=1104, Resulting Numbers: [1104]
1104,57 unequal: No Solution
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,57 unequal: No Solution
Exploring Operation: 69+16=85, Resulting Numbers: [85]
85,57 unequal: No Solution
No 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: 57:[14, 39], Operations: ['48-34=14', '69-30=39']
Exploring Operation: 14*39=546, Resulting Numbers: [546]
546,57 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 14+39=53, Resulting Numbers: [53]
53,57 unequal: No Solution
No 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: 57:[69, 44], Operations: ['48-34=14', '30+14=44']
Exploring Operation: 69-44=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 69+44=113, Resulting Numbers: [113]
113,57 unequal: No Solution
Exploring Operation: 69*44=3036, Resulting Numbers: [3036]
3036,57 unequal: No Solution
No 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: 57:[30, 83], Operations: ['48-34=14', '69+14=83']
Exploring Operation: 30*83=2490, Resulting Numbers: [2490]
2490,57 unequal: No Solution
Exploring Operation: 30+83=113, Resulting Numbers: [113]
113,57 unequal: No Solution
Exploring Operation: 83-30=53, Resulting Numbers: [53]
53,57 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: 57:[34, 69, 18], Operations: ['48-30=18']
Exploring Operation: 69-18=51, Resulting Numbers: [34, 51]
Generated Node #0,2,0: 57:[34, 51] Operation: 69-18=51
Exploring Operation: 69+18=87, Resulting Numbers: [34, 87]
Generated Node #0,2,1: 57:[34, 87] Operation: 69+18=87
Exploring Operation: 34-18=16, Resulting Numbers: [69, 16]
Generated Node #0,2,2: 57:[69, 16] Operation: 34-18=16
Exploring Operation: 69-34=35, Resulting Numbers: [18, 35]
Generated Node #0,2,3: 57:[18, 35] Operation: 69-34=35
Exploring Operation: 34+18=52, Resulting Numbers: [69, 52]
Generated Node #0,2,4: 57:[69, 52] Operation: 34+18=52
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 57:[69, 16], Operations: ['48-30=18', '34-18=16']
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,57 unequal: No Solution
Exploring Operation: 69+16=85, Resulting Numbers: [85]
85,57 unequal: No Solution
Exploring Operation: 69*16=1104, Resulting Numbers: [1104]
1104,57 unequal: No Solution
No 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: 57:[18, 35], Operations: ['48-30=18', '69-34=35']
Exploring Operation: 18+35=53, Resulting Numbers: [53]
53,57 unequal: No Solution
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 18*35=630, Resulting Numbers: [630]
630,57 unequal: No Solution
No 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: 57:[69, 52], Operations: ['48-30=18', '34+18=52']
Exploring Operation: 69-52=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 69+52=121, Resulting Numbers: [121]
121,57 unequal: No Solution
Exploring Operation: 69*52=3588, Resulting Numbers: [3588]
3588,57 unequal: No Solution
No 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: 57:[34, 51], Operations: ['48-30=18', '69-18=51']
Exploring Operation: 34*51=1734, Resulting Numbers: [1734]
1734,57 unequal: No Solution
Exploring Operation: 51-34=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 34+51=85, Resulting Numbers: [85]
85,57 unequal: No Solution
No 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: 57:[34, 87], Operations: ['48-30=18', '69+18=87']
Exploring Operation: 34*87=2958, Resulting Numbers: [2958]
2958,57 unequal: No Solution
Exploring Operation: 34+87=121, Resulting Numbers: [121]
121,57 unequal: No Solution
Exploring Operation: 87-34=53, Resulting Numbers: [53]
53,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,3
Current State: 57:[4, 21], Operations: ['34-30=4', '69-48=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,57 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,57 unequal: No Solution
Moving to Node #0,4,4
Current State: 57:[48, 65], Operations: ['34-30=4', '69-4=65']
Exploring Operation: 65-48=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 48*65=3120, Resulting Numbers: [3120]
3120,57 unequal: No Solution
Exploring Operation: 48+65=113, Resulting Numbers: [113]
113,57 unequal: No Solution
Moving to Node #0,4,0
Current State: 57:[69, 52], Operations: ['34-30=4', '48+4=52']
Exploring Operation: 69*52=3588, Resulting Numbers: [3588]
3588,57 unequal: No Solution
Exploring Operation: 69-52=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 69+52=121, Resulting Numbers: [121]
121,57 unequal: No Solution
Moving to Node #0,4,2
Current State: 57:[69, 12], Operations: ['34-30=4', '48/4=12']
Exploring Operation: 69*12=828, Resulting Numbers: [828]
828,57 unequal: No Solution
Exploring Operation: 69+12=81, Resulting Numbers: [81]
81,57 unequal: No Solution
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[34, 48, 69, 30], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [48, 69, 4]
Generated Node #0,4: 57:[48, 69, 4] Operation: 34-30=4
Moving to Node #0,4
Current State: 57:[48, 69, 4], Operations: ['34-30=4']
Exploring Operation: 48/4=12, Resulting Numbers: [69, 12]
Generated Node #0,4,2: 57:[69, 12] Operation: 48/4=12
Moving to Node #0,4,2
Current State: 57:[69, 12], Operations: ['34-30=4', '48/4=12']
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 0.907986 | hs_5 | sum_heuristic |
[
2,
9,
20,
98
] | 98 | [
"20/2=10",
"10-9=1",
"98*1=98"
] | Current State: 98:[2, 9, 20, 98], Operations: []
Exploring Operation: 20/2=10, Resulting Numbers: [9, 98, 10]
Generated Node #2: [9, 98, 10] from Operation: 20/2=10
Current State: 98:[9, 98, 10], Operations: ['20/2=10']
Exploring Operation: 10-9=1, Resulting Numbers: [98, 1]
Generated Node #3: [98, 1] from Operation: 10-9=1
Current State: 98:[98, 1], Operations: ['20/2=10', '10-9=1']
Exploring Operation: 98*1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[2, 9, 20, 98], Operations: []
Exploring Operation: 20-9=11, Resulting Numbers: [2, 98, 11]
Generated Node #0,0: 98:[2, 98, 11] Operation: 20-9=11
Exploring Operation: 20/2=10, Resulting Numbers: [9, 98, 10]
Generated Node #0,1: 98:[9, 98, 10] Operation: 20/2=10
Exploring Operation: 9-2=7, Resulting Numbers: [20, 98, 7]
Generated Node #0,2: 98:[20, 98, 7] Operation: 9-2=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[2, 98, 11], Operations: ['20-9=11']
Exploring Operation: 11-2=9, Resulting Numbers: [98, 9]
Generated Node #0,0,0: 98:[98, 9] Operation: 11-2=9
Exploring Operation: 2+11=13, Resulting Numbers: [98, 13]
Generated Node #0,0,1: 98:[98, 13] Operation: 2+11=13
Exploring Operation: 98/2=49, Resulting Numbers: [11, 49]
Generated Node #0,0,2: 98:[11, 49] Operation: 98/2=49
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 98:[98, 13], Operations: ['20-9=11', '2+11=13']
Exploring Operation: 98-13=85, Resulting Numbers: [85]
85,98 unequal: No Solution
Exploring Operation: 98*13=1274, Resulting Numbers: [1274]
1274,98 unequal: No Solution
Exploring Operation: 98+13=111, Resulting Numbers: [111]
111,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[98, 9], Operations: ['20-9=11', '11-2=9']
Exploring Operation: 98*9=882, Resulting Numbers: [882]
882,98 unequal: No Solution
Exploring Operation: 98-9=89, Resulting Numbers: [89]
89,98 unequal: No Solution
Exploring Operation: 98+9=107, Resulting Numbers: [107]
107,98 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:[11, 49], Operations: ['20-9=11', '98/2=49']
Exploring Operation: 11*49=539, Resulting Numbers: [539]
539,98 unequal: No Solution
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Exploring Operation: 11+49=60, Resulting Numbers: [60]
60,98 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:[9, 98, 10], Operations: ['20/2=10']
Exploring Operation: 9+10=19, Resulting Numbers: [98, 19]
Generated Node #0,1,0: 98:[98, 19] Operation: 9+10=19
Exploring Operation: 10-9=1, Resulting Numbers: [98, 1]
Generated Node #0,1,1: 98:[98, 1] Operation: 10-9=1
Exploring Operation: 9*10=90, Resulting Numbers: [98, 90]
Generated Node #0,1,2: 98:[98, 90] Operation: 9*10=90
Moving to Node #0,1,1
Current State: 98:[98, 1], Operations: ['20/2=10', '10-9=1']
Exploring Operation: 98+1=99, Resulting Numbers: [99]
99,98 unequal: No Solution
Exploring Operation: 98/1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[2, 9, 20, 98], Operations: []
Exploring Operation: 20/2=10, Resulting Numbers: [9, 98, 10]
Generated Node #0,1: 98:[9, 98, 10] Operation: 20/2=10
Moving to Node #0,1
Current State: 98:[9, 98, 10], Operations: ['20/2=10']
Exploring Operation: 10-9=1, Resulting Numbers: [98, 1]
Generated Node #0,1,1: 98:[98, 1] Operation: 10-9=1
Moving to Node #0,1,1
Current State: 98:[98, 1], Operations: ['20/2=10', '10-9=1']
Exploring Operation: 98/1=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_3 | sum_heuristic |
[
15,
94,
87,
2
] | 10 | [
"94-15=79",
"87+2=89",
"89-79=10"
] | Current State: 10:[15, 94, 87, 2], Operations: []
Exploring Operation: 94-15=79, Resulting Numbers: [87, 2, 79]
Generated Node #2: [87, 2, 79] from Operation: 94-15=79
Current State: 10:[87, 2, 79], Operations: ['94-15=79']
Exploring Operation: 87+2=89, Resulting Numbers: [79, 89]
Generated Node #3: [79, 89] from Operation: 87+2=89
Current State: 10:[79, 89], Operations: ['94-15=79', '87+2=89']
Exploring Operation: 89-79=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[15, 94, 87, 2], Operations: []
Exploring Operation: 94/2=47, Resulting Numbers: [15, 87, 47]
Generated Node #0,0: 10:[15, 87, 47] Operation: 94/2=47
Exploring Operation: 94-87=7, Resulting Numbers: [15, 2, 7]
Generated Node #0,1: 10:[15, 2, 7] Operation: 94-87=7
Moving to Node #0,1
Current State: 10:[15, 2, 7], Operations: ['94-87=7']
Exploring Operation: 15-7=8, Resulting Numbers: [2, 8]
Generated Node #0,1,0: 10:[2, 8] Operation: 15-7=8
Exploring Operation: 15-2=13, Resulting Numbers: [7, 13]
Generated Node #0,1,1: 10:[7, 13] Operation: 15-2=13
Moving to Node #0,0
Current State: 10:[15, 87, 47], Operations: ['94/2=47']
Exploring Operation: 87-15=72, Resulting Numbers: [47, 72]
Generated Node #0,0,0: 10:[47, 72] Operation: 87-15=72
Exploring Operation: 87-47=40, Resulting Numbers: [15, 40]
Generated Node #0,0,1: 10:[15, 40] Operation: 87-47=40
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 10:[15, 40], Operations: ['94/2=47', '87-47=40']
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 15+40=55, Resulting Numbers: [55]
55,10 unequal: No Solution
No 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: 10:[47, 72], Operations: ['94/2=47', '87-15=72']
Exploring Operation: 72-47=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 47+72=119, Resulting Numbers: [119]
119,10 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: 10:[2, 8], Operations: ['94-87=7', '15-7=8']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,10 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[15, 94, 87, 2], Operations: []
Exploring Operation: 94-87=7, Resulting Numbers: [15, 2, 7]
Generated Node #0,1: 10:[15, 2, 7] Operation: 94-87=7
Moving to Node #0,1
Current State: 10:[15, 2, 7], Operations: ['94-87=7']
Exploring Operation: 15-7=8, Resulting Numbers: [2, 8]
Generated Node #0,1,0: 10:[2, 8] Operation: 15-7=8
Moving to Node #0,1,0
Current State: 10:[2, 8], Operations: ['94-87=7', '15-7=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 0.986111 | hs_2 | sum_heuristic |
[
5,
12,
60,
5
] | 97 | [
"5*5=25",
"12+60=72",
"25+72=97"
] | Current State: 97:[5, 12, 60, 5], Operations: []
Exploring Operation: 5*5=25, Resulting Numbers: [12, 60, 25]
Generated Node #2: [12, 60, 25] from Operation: 5*5=25
Current State: 97:[12, 60, 25], Operations: ['5*5=25']
Exploring Operation: 12+60=72, Resulting Numbers: [25, 72]
Generated Node #3: [25, 72] from Operation: 12+60=72
Current State: 97:[25, 72], Operations: ['5*5=25', '12+60=72']
Exploring Operation: 25+72=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[5, 12, 60, 5], Operations: []
Exploring Operation: 5*12=60, Resulting Numbers: [60, 5, 60]
Generated Node #0,0: 97:[60, 5, 60] Operation: 5*12=60
Exploring Operation: 12*5=60, Resulting Numbers: [5, 60, 60]
Generated Node #0,1: 97:[5, 60, 60] Operation: 12*5=60
Exploring Operation: 5+12=17, Resulting Numbers: [60, 5, 17]
Generated Node #0,2: 97:[60, 5, 17] Operation: 5+12=17
Exploring Operation: 5*5=25, Resulting Numbers: [12, 60, 25]
Generated Node #0,3: 97:[12, 60, 25] Operation: 5*5=25
Moving to Node #0,0
Current State: 97:[60, 5, 60], Operations: ['5*12=60']
Exploring Operation: 5+60=65, Resulting Numbers: [60, 65]
Generated Node #0,0,0: 97:[60, 65] Operation: 5+60=65
Exploring Operation: 60+5=65, Resulting Numbers: [60, 65]
Generated Node #0,0,1: 97:[60, 65] Operation: 60+5=65
Exploring Operation: 60-5=55, Resulting Numbers: [60, 55]
Generated Node #0,0,2: 97:[60, 55] Operation: 60-5=55
Exploring Operation: 60-5=55, Resulting Numbers: [60, 55]
Generated Node #0,0,3: 97:[60, 55] Operation: 60-5=55
Moving to Node #0,1
Current State: 97:[5, 60, 60], Operations: ['12*5=60']
Exploring Operation: 5+60=65, Resulting Numbers: [60, 65]
Generated Node #0,1,0: 97:[60, 65] Operation: 5+60=65
Exploring Operation: 5+60=65, Resulting Numbers: [60, 65]
Generated Node #0,1,1: 97:[60, 65] Operation: 5+60=65
Exploring Operation: 60-5=55, Resulting Numbers: [60, 55]
Generated Node #0,1,2: 97:[60, 55] Operation: 60-5=55
Exploring Operation: 60-5=55, Resulting Numbers: [60, 55]
Generated Node #0,1,3: 97:[60, 55] Operation: 60-5=55
Moving to Node #0,3
Current State: 97:[12, 60, 25], Operations: ['5*5=25']
Exploring Operation: 60+25=85, Resulting Numbers: [12, 85]
Generated Node #0,3,0: 97:[12, 85] Operation: 60+25=85
Exploring Operation: 12+60=72, Resulting Numbers: [25, 72]
Generated Node #0,3,1: 97:[25, 72] Operation: 12+60=72
Exploring Operation: 12+25=37, Resulting Numbers: [60, 37]
Generated Node #0,3,2: 97:[60, 37] Operation: 12+25=37
Exploring Operation: 60-12=48, Resulting Numbers: [25, 48]
Generated Node #0,3,3: 97:[25, 48] Operation: 60-12=48
Moving to Node #0,2
Current State: 97:[60, 5, 17], Operations: ['5+12=17']
Exploring Operation: 60+17=77, Resulting Numbers: [5, 77]
Generated Node #0,2,0: 97:[5, 77] Operation: 60+17=77
Exploring Operation: 5+17=22, Resulting Numbers: [60, 22]
Generated Node #0,2,1: 97:[60, 22] Operation: 5+17=22
Exploring Operation: 5*17=85, Resulting Numbers: [60, 85]
Generated Node #0,2,2: 97:[60, 85] Operation: 5*17=85
Exploring Operation: 60+5=65, Resulting Numbers: [17, 65]
Generated Node #0,2,3: 97:[17, 65] Operation: 60+5=65
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 97:[60, 85], Operations: ['5+12=17', '5*17=85']
Exploring Operation: 85-60=25, Resulting Numbers: [25]
25,97 unequal: No Solution
Exploring Operation: 60*85=5100, Resulting Numbers: [5100]
5100,97 unequal: No Solution
Exploring Operation: 60+85=145, Resulting Numbers: [145]
145,97 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 #0,2,0
Current State: 97:[5, 77], Operations: ['5+12=17', '60+17=77']
Exploring Operation: 5*77=385, Resulting Numbers: [385]
385,97 unequal: No Solution
Exploring Operation: 5+77=82, Resulting Numbers: [82]
82,97 unequal: No Solution
Exploring Operation: 77-5=72, Resulting Numbers: [72]
72,97 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 #0,2,1
Current State: 97:[60, 22], Operations: ['5+12=17', '5+17=22']
Exploring Operation: 60*22=1320, Resulting Numbers: [1320]
1320,97 unequal: No Solution
Exploring Operation: 60+22=82, Resulting Numbers: [82]
82,97 unequal: No Solution
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,97 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 #0,2,3
Current State: 97:[17, 65], Operations: ['5+12=17', '60+5=65']
Exploring Operation: 17*65=1105, Resulting Numbers: [1105]
1105,97 unequal: No Solution
Exploring Operation: 17+65=82, Resulting Numbers: [82]
82,97 unequal: No Solution
Exploring Operation: 65-17=48, Resulting Numbers: [48]
48,97 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: 97:[60, 65], Operations: ['5*12=60', '5+60=65']
Exploring Operation: 60+65=125, Resulting Numbers: [125]
125,97 unequal: No Solution
Exploring Operation: 60*65=3900, Resulting Numbers: [3900]
3900,97 unequal: No Solution
Exploring Operation: 65-60=5, Resulting Numbers: [5]
5,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[60, 65], Operations: ['12*5=60', '5+60=65']
Exploring Operation: 60+65=125, Resulting Numbers: [125]
125,97 unequal: No Solution
Exploring Operation: 65-60=5, Resulting Numbers: [5]
5,97 unequal: No Solution
Exploring Operation: 60*65=3900, Resulting Numbers: [3900]
3900,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[60, 65], Operations: ['5*12=60', '60+5=65']
Exploring Operation: 65-60=5, Resulting Numbers: [5]
5,97 unequal: No Solution
Exploring Operation: 60*65=3900, Resulting Numbers: [3900]
3900,97 unequal: No Solution
Exploring Operation: 60+65=125, Resulting Numbers: [125]
125,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[60, 65], Operations: ['12*5=60', '5+60=65']
Exploring Operation: 60+65=125, Resulting Numbers: [125]
125,97 unequal: No Solution
Exploring Operation: 60*65=3900, Resulting Numbers: [3900]
3900,97 unequal: No Solution
Exploring Operation: 65-60=5, Resulting Numbers: [5]
5,97 unequal: No Solution
Moving to Node #0,1,2
Current State: 97:[60, 55], Operations: ['12*5=60', '60-5=55']
Exploring Operation: 60*55=3300, Resulting Numbers: [3300]
3300,97 unequal: No Solution
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,97 unequal: No Solution
Exploring Operation: 60+55=115, Resulting Numbers: [115]
115,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[60, 55], Operations: ['5*12=60', '60-5=55']
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,97 unequal: No Solution
Exploring Operation: 60*55=3300, Resulting Numbers: [3300]
3300,97 unequal: No Solution
Exploring Operation: 60+55=115, Resulting Numbers: [115]
115,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[60, 55], Operations: ['5*12=60', '60-5=55']
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,97 unequal: No Solution
Exploring Operation: 60+55=115, Resulting Numbers: [115]
115,97 unequal: No Solution
Exploring Operation: 60*55=3300, Resulting Numbers: [3300]
3300,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[60, 55], Operations: ['12*5=60', '60-5=55']
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,97 unequal: No Solution
Exploring Operation: 60*55=3300, Resulting Numbers: [3300]
3300,97 unequal: No Solution
Exploring Operation: 60+55=115, Resulting Numbers: [115]
115,97 unequal: No Solution
Moving to Node #0,3,0
Current State: 97:[12, 85], Operations: ['5*5=25', '60+25=85']
Exploring Operation: 85-12=73, Resulting Numbers: [73]
73,97 unequal: No Solution
Exploring Operation: 12+85=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[5, 12, 60, 5], Operations: []
Exploring Operation: 5*5=25, Resulting Numbers: [12, 60, 25]
Generated Node #0,3: 97:[12, 60, 25] Operation: 5*5=25
Moving to Node #0,3
Current State: 97:[12, 60, 25], Operations: ['5*5=25']
Exploring Operation: 60+25=85, Resulting Numbers: [12, 85]
Generated Node #0,3,0: 97:[12, 85] Operation: 60+25=85
Moving to Node #0,3,0
Current State: 97:[12, 85], Operations: ['5*5=25', '60+25=85']
Exploring Operation: 12+85=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 0.946181 | hs_4 | sum_heuristic |
[
32,
52,
84,
34
] | 94 | [
"34-32=2",
"84/2=42",
"52+42=94"
] | Current State: 94:[32, 52, 84, 34], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [52, 84, 2]
Generated Node #2: [52, 84, 2] from Operation: 34-32=2
Current State: 94:[52, 84, 2], Operations: ['34-32=2']
Exploring Operation: 84/2=42, Resulting Numbers: [52, 42]
Generated Node #3: [52, 42] from Operation: 84/2=42
Current State: 94:[52, 42], Operations: ['34-32=2', '84/2=42']
Exploring Operation: 52+42=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[32, 52, 84, 34], Operations: []
Exploring Operation: 84-32=52, Resulting Numbers: [52, 34, 52]
Generated Node #0,0: 94:[52, 34, 52] Operation: 84-32=52
Exploring Operation: 34-32=2, Resulting Numbers: [52, 84, 2]
Generated Node #0,1: 94:[52, 84, 2] Operation: 34-32=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[52, 84, 2], Operations: ['34-32=2']
Exploring Operation: 84/2=42, Resulting Numbers: [52, 42]
Generated Node #0,1,0: 94:[52, 42] Operation: 84/2=42
Exploring Operation: 52-2=50, Resulting Numbers: [84, 50]
Generated Node #0,1,1: 94:[84, 50] Operation: 52-2=50
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 94:[52, 42], Operations: ['34-32=2', '84/2=42']
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Exploring Operation: 52+42=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[32, 52, 84, 34], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [52, 84, 2]
Generated Node #0,1: 94:[52, 84, 2] Operation: 34-32=2
Moving to Node #0,1
Current State: 94:[52, 84, 2], Operations: ['34-32=2']
Exploring Operation: 84/2=42, Resulting Numbers: [52, 42]
Generated Node #0,1,0: 94:[52, 42] Operation: 84/2=42
Moving to Node #0,1,0
Current State: 94:[52, 42], Operations: ['34-32=2', '84/2=42']
Exploring Operation: 52+42=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
54,
19,
27,
5
] | 41 | [
"54+19=73",
"27+5=32",
"73-32=41"
] | Current State: 41:[54, 19, 27, 5], Operations: []
Exploring Operation: 54+19=73, Resulting Numbers: [27, 5, 73]
Generated Node #2: [27, 5, 73] from Operation: 54+19=73
Current State: 41:[27, 5, 73], Operations: ['54+19=73']
Exploring Operation: 27+5=32, Resulting Numbers: [73, 32]
Generated Node #3: [73, 32] from Operation: 27+5=32
Current State: 41:[73, 32], Operations: ['54+19=73', '27+5=32']
Exploring Operation: 73-32=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[54, 19, 27, 5], Operations: []
Exploring Operation: 19+5=24, Resulting Numbers: [54, 27, 24]
Generated Node #0,0: 41:[54, 27, 24] Operation: 19+5=24
Exploring Operation: 54+5=59, Resulting Numbers: [19, 27, 59]
Generated Node #0,1: 41:[19, 27, 59] Operation: 54+5=59
Exploring Operation: 54-5=49, Resulting Numbers: [19, 27, 49]
Generated Node #0,2: 41:[19, 27, 49] Operation: 54-5=49
Exploring Operation: 27+5=32, Resulting Numbers: [54, 19, 32]
Generated Node #0,3: 41:[54, 19, 32] Operation: 27+5=32
Exploring Operation: 19+27=46, Resulting Numbers: [54, 5, 46]
Generated Node #0,4: 41:[54, 5, 46] Operation: 19+27=46
Moving to Node #0,0
Current State: 41:[54, 27, 24], Operations: ['19+5=24']
Exploring Operation: 27-24=3, Resulting Numbers: [54, 3]
Generated Node #0,0,0: 41:[54, 3] Operation: 27-24=3
Exploring Operation: 54-24=30, Resulting Numbers: [27, 30]
Generated Node #0,0,1: 41:[27, 30] Operation: 54-24=30
Exploring Operation: 27+24=51, Resulting Numbers: [54, 51]
Generated Node #0,0,2: 41:[54, 51] Operation: 27+24=51
Exploring Operation: 54-27=27, Resulting Numbers: [24, 27]
Generated Node #0,0,3: 41:[24, 27] Operation: 54-27=27
Exploring Operation: 54+24=78, Resulting Numbers: [27, 78]
Generated Node #0,0,4: 41:[27, 78] Operation: 54+24=78
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 41:[54, 51], Operations: ['19+5=24', '27+24=51']
Exploring Operation: 54+51=105, Resulting Numbers: [105]
105,41 unequal: No Solution
Exploring Operation: 54*51=2754, Resulting Numbers: [2754]
2754,41 unequal: No Solution
Exploring Operation: 54-51=3, Resulting Numbers: [3]
3,41 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:[27, 30], Operations: ['19+5=24', '54-24=30']
Exploring Operation: 30-27=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 27*30=810, Resulting Numbers: [810]
810,41 unequal: No Solution
Exploring Operation: 27+30=57, Resulting Numbers: [57]
57,41 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 #0,0,3
Current State: 41:[24, 27], Operations: ['19+5=24', '54-27=27']
Exploring Operation: 24*27=648, Resulting Numbers: [648]
648,41 unequal: No Solution
Exploring Operation: 27-24=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 24+27=51, Resulting Numbers: [51]
51,41 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:[54, 3], Operations: ['19+5=24', '27-24=3']
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,41 unequal: No Solution
Exploring Operation: 54*3=162, Resulting Numbers: [162]
162,41 unequal: No Solution
Exploring Operation: 54+3=57, Resulting Numbers: [57]
57,41 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 #0,0,4
Current State: 41:[27, 78], Operations: ['19+5=24', '54+24=78']
Exploring Operation: 27+78=105, Resulting Numbers: [105]
105,41 unequal: No Solution
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,41 unequal: No Solution
Exploring Operation: 27*78=2106, Resulting Numbers: [2106]
2106,41 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: 41:[54, 19, 32], Operations: ['27+5=32']
Exploring Operation: 54-19=35, Resulting Numbers: [32, 35]
Generated Node #0,3,0: 41:[32, 35] Operation: 54-19=35
Exploring Operation: 19+32=51, Resulting Numbers: [54, 51]
Generated Node #0,3,1: 41:[54, 51] Operation: 19+32=51
Exploring Operation: 32-19=13, Resulting Numbers: [54, 13]
Generated Node #0,3,2: 41:[54, 13] Operation: 32-19=13
Exploring Operation: 54-32=22, Resulting Numbers: [19, 22]
Generated Node #0,3,3: 41:[19, 22] Operation: 54-32=22
Exploring Operation: 54+19=73, Resulting Numbers: [32, 73]
Generated Node #0,3,4: 41:[32, 73] Operation: 54+19=73
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 41:[32, 35], Operations: ['27+5=32', '54-19=35']
Exploring Operation: 32*35=1120, Resulting Numbers: [1120]
1120,41 unequal: No Solution
Exploring Operation: 32+35=67, Resulting Numbers: [67]
67,41 unequal: No Solution
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,41 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 #0,3,1
Current State: 41:[54, 51], Operations: ['27+5=32', '19+32=51']
Exploring Operation: 54+51=105, Resulting Numbers: [105]
105,41 unequal: No Solution
Exploring Operation: 54-51=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 54*51=2754, Resulting Numbers: [2754]
2754,41 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 #0,3,2
Current State: 41:[54, 13], Operations: ['27+5=32', '32-19=13']
Exploring Operation: 54*13=702, Resulting Numbers: [702]
702,41 unequal: No Solution
Exploring Operation: 54+13=67, Resulting Numbers: [67]
67,41 unequal: No Solution
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[54, 19, 27, 5], Operations: []
Exploring Operation: 27+5=32, Resulting Numbers: [54, 19, 32]
Generated Node #0,3: 41:[54, 19, 32] Operation: 27+5=32
Moving to Node #0,3
Current State: 41:[54, 19, 32], Operations: ['27+5=32']
Exploring Operation: 32-19=13, Resulting Numbers: [54, 13]
Generated Node #0,3,2: 41:[54, 13] Operation: 32-19=13
Moving to Node #0,3,2
Current State: 41:[54, 13], Operations: ['27+5=32', '32-19=13']
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.961806 | hs_5 | sum_heuristic |
[
18,
29,
2,
34
] | 72 | [
"18/2=9",
"29+34=63",
"9+63=72"
] | Current State: 72:[18, 29, 2, 34], Operations: []
Exploring Operation: 18/2=9, Resulting Numbers: [29, 34, 9]
Generated Node #2: [29, 34, 9] from Operation: 18/2=9
Current State: 72:[29, 34, 9], Operations: ['18/2=9']
Exploring Operation: 29+34=63, Resulting Numbers: [9, 63]
Generated Node #3: [9, 63] from Operation: 29+34=63
Current State: 72:[9, 63], Operations: ['18/2=9', '29+34=63']
Exploring Operation: 9+63=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[18, 29, 2, 34], Operations: []
Exploring Operation: 34-29=5, Resulting Numbers: [18, 2, 5]
Generated Node #0,0: 72:[18, 2, 5] Operation: 34-29=5
Moving to Node #0,0
Current State: 72:[18, 2, 5], Operations: ['34-29=5']
Exploring Operation: 5-2=3, Resulting Numbers: [18, 3]
Generated Node #0,0,0: 72:[18, 3] Operation: 5-2=3
Moving to Node #0,0,0
Current State: 72:[18, 3], Operations: ['34-29=5', '5-2=3']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,72 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
87,
53,
69,
86
] | 15 | [
"87+53=140",
"69+86=155",
"155-140=15"
] | Current State: 15:[87, 53, 69, 86], Operations: []
Exploring Operation: 87+53=140, Resulting Numbers: [69, 86, 140]
Generated Node #2: [69, 86, 140] from Operation: 87+53=140
Current State: 15:[69, 86, 140], Operations: ['87+53=140']
Exploring Operation: 69+86=155, Resulting Numbers: [140, 155]
Generated Node #3: [140, 155] from Operation: 69+86=155
Current State: 15:[140, 155], Operations: ['87+53=140', '69+86=155']
Exploring Operation: 155-140=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[87, 53, 69, 86], Operations: []
Exploring Operation: 87-69=18, Resulting Numbers: [53, 86, 18]
Generated Node #0,0: 15:[53, 86, 18] Operation: 87-69=18
Exploring Operation: 87-53=34, Resulting Numbers: [69, 86, 34]
Generated Node #0,1: 15:[69, 86, 34] Operation: 87-53=34
Exploring Operation: 69-53=16, Resulting Numbers: [87, 86, 16]
Generated Node #0,2: 15:[87, 86, 16] Operation: 69-53=16
Exploring Operation: 87-86=1, Resulting Numbers: [53, 69, 1]
Generated Node #0,3: 15:[53, 69, 1] Operation: 87-86=1
Exploring Operation: 86-69=17, Resulting Numbers: [87, 53, 17]
Generated Node #0,4: 15:[87, 53, 17] Operation: 86-69=17
Moving to Node #0,3
Current State: 15:[53, 69, 1], Operations: ['87-86=1']
Exploring Operation: 69-1=68, Resulting Numbers: [53, 68]
Generated Node #0,3,0: 15:[53, 68] Operation: 69-1=68
Exploring Operation: 53/1=53, Resulting Numbers: [69, 53]
Generated Node #0,3,1: 15:[69, 53] Operation: 53/1=53
Exploring Operation: 53*1=53, Resulting Numbers: [69, 53]
Generated Node #0,3,2: 15:[69, 53] Operation: 53*1=53
Exploring Operation: 53-1=52, Resulting Numbers: [69, 52]
Generated Node #0,3,3: 15:[69, 52] Operation: 53-1=52
Exploring Operation: 69-53=16, Resulting Numbers: [1, 16]
Generated Node #0,3,4: 15:[1, 16] Operation: 69-53=16
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 15:[1, 16], Operations: ['87-86=1', '69-53=16']
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,15 unequal: No Solution
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,15 unequal: No Solution
Exploring Operation: 1*16=16, Resulting Numbers: [16]
16,15 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[87, 53, 69, 86], Operations: []
Exploring Operation: 87-86=1, Resulting Numbers: [53, 69, 1]
Generated Node #0,3: 15:[53, 69, 1] Operation: 87-86=1
Moving to Node #0,3
Current State: 15:[53, 69, 1], Operations: ['87-86=1']
Exploring Operation: 69-53=16, Resulting Numbers: [1, 16]
Generated Node #0,3,4: 15:[1, 16] Operation: 69-53=16
Moving to Node #0,3,4
Current State: 15:[1, 16], Operations: ['87-86=1', '69-53=16']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
65,
20,
16,
19
] | 71 | [
"65*16=1040",
"1040/20=52",
"19+52=71"
] | Current State: 71:[65, 20, 16, 19], Operations: []
Exploring Operation: 65*16=1040, Resulting Numbers: [20, 19, 1040]
Generated Node #2: [20, 19, 1040] from Operation: 65*16=1040
Current State: 71:[20, 19, 1040], Operations: ['65*16=1040']
Exploring Operation: 1040/20=52, Resulting Numbers: [19, 52]
Generated Node #3: [19, 52] from Operation: 1040/20=52
Current State: 71:[19, 52], Operations: ['65*16=1040', '1040/20=52']
Exploring Operation: 19+52=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[65, 20, 16, 19], Operations: []
Exploring Operation: 20+19=39, Resulting Numbers: [65, 16, 39]
Generated Node #0,0: 71:[65, 16, 39] Operation: 20+19=39
Exploring Operation: 65+16=81, Resulting Numbers: [20, 19, 81]
Generated Node #0,1: 71:[20, 19, 81] Operation: 65+16=81
Exploring Operation: 20+16=36, Resulting Numbers: [65, 19, 36]
Generated Node #0,2: 71:[65, 19, 36] Operation: 20+16=36
Exploring Operation: 16+19=35, Resulting Numbers: [65, 20, 35]
Generated Node #0,3: 71:[65, 20, 35] Operation: 16+19=35
Moving to Node #0,0
Current State: 71:[65, 16, 39], Operations: ['20+19=39']
Exploring Operation: 39-16=23, Resulting Numbers: [65, 23]
Generated Node #0,0,0: 71:[65, 23] Operation: 39-16=23
Exploring Operation: 65+16=81, Resulting Numbers: [39, 81]
Generated Node #0,0,1: 71:[39, 81] Operation: 65+16=81
Exploring Operation: 65-16=49, Resulting Numbers: [39, 49]
Generated Node #0,0,2: 71:[39, 49] Operation: 65-16=49
Exploring Operation: 16+39=55, Resulting Numbers: [65, 55]
Generated Node #0,0,3: 71:[65, 55] Operation: 16+39=55
Moving to Node #0,3
Current State: 71:[65, 20, 35], Operations: ['16+19=35']
Exploring Operation: 35-20=15, Resulting Numbers: [65, 15]
Generated Node #0,3,0: 71:[65, 15] Operation: 35-20=15
Exploring Operation: 20+35=55, Resulting Numbers: [65, 55]
Generated Node #0,3,1: 71:[65, 55] Operation: 20+35=55
Exploring Operation: 65+20=85, Resulting Numbers: [35, 85]
Generated Node #0,3,2: 71:[35, 85] Operation: 65+20=85
Exploring Operation: 65-20=45, Resulting Numbers: [35, 45]
Generated Node #0,3,3: 71:[35, 45] Operation: 65-20=45
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 71:[65, 55], Operations: ['16+19=35', '20+35=55']
Exploring Operation: 65+55=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Exploring Operation: 65-55=10, Resulting Numbers: [10]
10,71 unequal: No Solution
Exploring Operation: 65*55=3575, Resulting Numbers: [3575]
3575,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 71:[35, 85], Operations: ['16+19=35', '65+20=85']
Exploring Operation: 85-35=50, Resulting Numbers: [50]
50,71 unequal: No Solution
Exploring Operation: 35*85=2975, Resulting Numbers: [2975]
2975,71 unequal: No Solution
Exploring Operation: 35+85=120, Resulting Numbers: [120]
120,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 71:[65, 15], Operations: ['16+19=35', '35-20=15']
Exploring Operation: 65*15=975, Resulting Numbers: [975]
975,71 unequal: No Solution
Exploring Operation: 65+15=80, Resulting Numbers: [80]
80,71 unequal: No Solution
Exploring Operation: 65-15=50, Resulting Numbers: [50]
50,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 71:[35, 45], Operations: ['16+19=35', '65-20=45']
Exploring Operation: 35*45=1575, Resulting Numbers: [1575]
1575,71 unequal: No Solution
Exploring Operation: 45-35=10, Resulting Numbers: [10]
10,71 unequal: No Solution
Exploring Operation: 35+45=80, Resulting Numbers: [80]
80,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 71:[65, 19, 36], Operations: ['20+16=36']
Exploring Operation: 65-19=46, Resulting Numbers: [36, 46]
Generated Node #0,2,0: 71:[36, 46] Operation: 65-19=46
Exploring Operation: 36-19=17, Resulting Numbers: [65, 17]
Generated Node #0,2,1: 71:[65, 17] Operation: 36-19=17
Exploring Operation: 19+36=55, Resulting Numbers: [65, 55]
Generated Node #0,2,2: 71:[65, 55] Operation: 19+36=55
Exploring Operation: 65+19=84, Resulting Numbers: [36, 84]
Generated Node #0,2,3: 71:[36, 84] Operation: 65+19=84
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 71:[65, 55], Operations: ['20+16=36', '19+36=55']
Exploring Operation: 65-55=10, Resulting Numbers: [10]
10,71 unequal: No Solution
Exploring Operation: 65+55=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Exploring Operation: 65*55=3575, Resulting Numbers: [3575]
3575,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 71:[36, 84], Operations: ['20+16=36', '65+19=84']
Exploring Operation: 84-36=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Exploring Operation: 36+84=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Exploring Operation: 36*84=3024, Resulting Numbers: [3024]
3024,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 71:[36, 46], Operations: ['20+16=36', '65-19=46']
Exploring Operation: 46-36=10, Resulting Numbers: [10]
10,71 unequal: No Solution
Exploring Operation: 36*46=1656, Resulting Numbers: [1656]
1656,71 unequal: No Solution
Exploring Operation: 36+46=82, Resulting Numbers: [82]
82,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 71:[65, 17], Operations: ['20+16=36', '36-19=17']
Exploring Operation: 65-17=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Exploring Operation: 65+17=82, Resulting Numbers: [82]
82,71 unequal: No Solution
Exploring Operation: 65*17=1105, Resulting Numbers: [1105]
1105,71 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: 71:[20, 19, 81], Operations: ['65+16=81']
Exploring Operation: 20-19=1, Resulting Numbers: [81, 1]
Generated Node #0,1,0: 71:[81, 1] Operation: 20-19=1
Exploring Operation: 81-20=61, Resulting Numbers: [19, 61]
Generated Node #0,1,1: 71:[19, 61] Operation: 81-20=61
Exploring Operation: 20+19=39, Resulting Numbers: [81, 39]
Generated Node #0,1,2: 71:[81, 39] Operation: 20+19=39
Exploring Operation: 81-19=62, Resulting Numbers: [20, 62]
Generated Node #0,1,3: 71:[20, 62] Operation: 81-19=62
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 71:[81, 39], Operations: ['65+16=81', '20+19=39']
Exploring Operation: 81*39=3159, Resulting Numbers: [3159]
3159,71 unequal: No Solution
Exploring Operation: 81+39=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Exploring Operation: 81-39=42, Resulting Numbers: [42]
42,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 71:[20, 62], Operations: ['65+16=81', '81-19=62']
Exploring Operation: 62-20=42, Resulting Numbers: [42]
42,71 unequal: No Solution
Exploring Operation: 20+62=82, Resulting Numbers: [82]
82,71 unequal: No Solution
Exploring Operation: 20*62=1240, Resulting Numbers: [1240]
1240,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[19, 61], Operations: ['65+16=81', '81-20=61']
Exploring Operation: 61-19=42, Resulting Numbers: [42]
42,71 unequal: No Solution
Exploring Operation: 19*61=1159, Resulting Numbers: [1159]
1159,71 unequal: No Solution
Exploring Operation: 19+61=80, Resulting Numbers: [80]
80,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[81, 1], Operations: ['65+16=81', '20-19=1']
Exploring Operation: 81*1=81, Resulting Numbers: [81]
81,71 unequal: No Solution
Exploring Operation: 81/1=81, Resulting Numbers: [81]
81,71 unequal: No Solution
Exploring Operation: 81+1=82, Resulting Numbers: [82]
82,71 unequal: No Solution
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 71:[65, 55], Operations: ['20+19=39', '16+39=55']
Exploring Operation: 65+55=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Exploring Operation: 65-55=10, Resulting Numbers: [10]
10,71 unequal: No Solution
Exploring Operation: 65*55=3575, Resulting Numbers: [3575]
3575,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[39, 81], Operations: ['20+19=39', '65+16=81']
Exploring Operation: 81-39=42, Resulting Numbers: [42]
42,71 unequal: No Solution
Exploring Operation: 39*81=3159, Resulting Numbers: [3159]
3159,71 unequal: No Solution
Exploring Operation: 39+81=120, Resulting Numbers: [120]
120,71 unequal: No Solution
Moving to Node #0,0,2
Current State: 71:[39, 49], Operations: ['20+19=39', '65-16=49']
Exploring Operation: 39+49=88, Resulting Numbers: [88]
88,71 unequal: No Solution
Exploring Operation: 39*49=1911, Resulting Numbers: [1911]
1911,71 unequal: No Solution
Exploring Operation: 49-39=10, Resulting Numbers: [10]
10,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[65, 23], Operations: ['20+19=39', '39-16=23']
Exploring Operation: 65+23=88, Resulting Numbers: [88]
88,71 unequal: No Solution
Exploring Operation: 65*23=1495, Resulting Numbers: [1495]
1495,71 unequal: No Solution
Exploring Operation: 65-23=42, Resulting Numbers: [42]
42,71 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
73,
80,
21,
59
] | 74 | [
"80-21=59",
"59/59=1",
"73+1=74"
] | Current State: 74:[73, 80, 21, 59], Operations: []
Exploring Operation: 80-21=59, Resulting Numbers: [73, 59, 59]
Generated Node #2: [73, 59, 59] from Operation: 80-21=59
Current State: 74:[73, 59, 59], Operations: ['80-21=59']
Exploring Operation: 59/59=1, Resulting Numbers: [73, 1]
Generated Node #3: [73, 1] from Operation: 59/59=1
Current State: 74:[73, 1], Operations: ['80-21=59', '59/59=1']
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[73, 80, 21, 59], Operations: []
Exploring Operation: 59-21=38, Resulting Numbers: [73, 80, 38]
Generated Node #0,0: 74:[73, 80, 38] Operation: 59-21=38
Exploring Operation: 80-59=21, Resulting Numbers: [73, 21, 21]
Generated Node #0,1: 74:[73, 21, 21] Operation: 80-59=21
Exploring Operation: 73-59=14, Resulting Numbers: [80, 21, 14]
Generated Node #0,2: 74:[80, 21, 14] Operation: 73-59=14
Exploring Operation: 21+59=80, Resulting Numbers: [73, 80, 80]
Generated Node #0,3: 74:[73, 80, 80] Operation: 21+59=80
Exploring Operation: 80-21=59, Resulting Numbers: [73, 59, 59]
Generated Node #0,4: 74:[73, 59, 59] Operation: 80-21=59
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[73, 80, 38], Operations: ['59-21=38']
Exploring Operation: 73-38=35, Resulting Numbers: [80, 35]
Generated Node #0,0,0: 74:[80, 35] Operation: 73-38=35
Exploring Operation: 80-38=42, Resulting Numbers: [73, 42]
Generated Node #0,0,1: 74:[73, 42] Operation: 80-38=42
Exploring Operation: 80-73=7, Resulting Numbers: [38, 7]
Generated Node #0,0,2: 74:[38, 7] Operation: 80-73=7
Exploring Operation: 73+38=111, Resulting Numbers: [80, 111]
Generated Node #0,0,3: 74:[80, 111] Operation: 73+38=111
Exploring Operation: 80+38=118, Resulting Numbers: [73, 118]
Generated Node #0,0,4: 74:[73, 118] Operation: 80+38=118
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 74:[73, 42], Operations: ['59-21=38', '80-38=42']
Exploring Operation: 73-42=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Exploring Operation: 73+42=115, Resulting Numbers: [115]
115,74 unequal: No Solution
Exploring Operation: 73*42=3066, Resulting Numbers: [3066]
3066,74 unequal: No Solution
No 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: 74:[38, 7], Operations: ['59-21=38', '80-73=7']
Exploring Operation: 38*7=266, Resulting Numbers: [266]
266,74 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Exploring Operation: 38+7=45, Resulting Numbers: [45]
45,74 unequal: No Solution
No 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: 74:[80, 35], Operations: ['59-21=38', '73-38=35']
Exploring Operation: 80+35=115, Resulting Numbers: [115]
115,74 unequal: No Solution
Exploring Operation: 80*35=2800, Resulting Numbers: [2800]
2800,74 unequal: No Solution
Exploring Operation: 80-35=45, Resulting Numbers: [45]
45,74 unequal: No Solution
No 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: 74:[80, 111], Operations: ['59-21=38', '73+38=111']
Exploring Operation: 80+111=191, Resulting Numbers: [191]
191,74 unequal: No Solution
Exploring Operation: 80*111=8880, Resulting Numbers: [8880]
8880,74 unequal: No Solution
Exploring Operation: 111-80=31, Resulting Numbers: [31]
31,74 unequal: No Solution
No 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: 74:[73, 118], Operations: ['59-21=38', '80+38=118']
Exploring Operation: 118-73=45, Resulting Numbers: [45]
45,74 unequal: No Solution
Exploring Operation: 73+118=191, Resulting Numbers: [191]
191,74 unequal: No Solution
Exploring Operation: 73*118=8614, Resulting Numbers: [8614]
8614,74 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: 74:[73, 80, 80], Operations: ['21+59=80']
Exploring Operation: 73+80=153, Resulting Numbers: [80, 153]
Generated Node #0,3,0: 74:[80, 153] Operation: 73+80=153
Exploring Operation: 80-73=7, Resulting Numbers: [80, 7]
Generated Node #0,3,1: 74:[80, 7] Operation: 80-73=7
Exploring Operation: 80-73=7, Resulting Numbers: [80, 7]
Generated Node #0,3,2: 74:[80, 7] Operation: 80-73=7
Exploring Operation: 80/80=1, Resulting Numbers: [73, 1]
Generated Node #0,3,3: 74:[73, 1] Operation: 80/80=1
Exploring Operation: 80-80=0, Resulting Numbers: [73, 0]
Generated Node #0,3,4: 74:[73, 0] Operation: 80-80=0
Moving to Node #0,3,3
Current State: 74:[73, 1], Operations: ['21+59=80', '80/80=1']
Exploring Operation: 73*1=73, Resulting Numbers: [73]
73,74 unequal: No Solution
Exploring Operation: 73/1=73, Resulting Numbers: [73]
73,74 unequal: No Solution
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[73, 80, 21, 59], Operations: []
Exploring Operation: 21+59=80, Resulting Numbers: [73, 80, 80]
Generated Node #0,3: 74:[73, 80, 80] Operation: 21+59=80
Moving to Node #0,3
Current State: 74:[73, 80, 80], Operations: ['21+59=80']
Exploring Operation: 80/80=1, Resulting Numbers: [73, 1]
Generated Node #0,3,3: 74:[73, 1] Operation: 80/80=1
Moving to Node #0,3,3
Current State: 74:[73, 1], Operations: ['21+59=80', '80/80=1']
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 | hs_5 | sum_heuristic |
[
40,
54,
27,
30
] | 99 | [
"40*54=2160",
"2160/30=72",
"27+72=99"
] | Current State: 99:[40, 54, 27, 30], Operations: []
Exploring Operation: 40*54=2160, Resulting Numbers: [27, 30, 2160]
Generated Node #2: [27, 30, 2160] from Operation: 40*54=2160
Current State: 99:[27, 30, 2160], Operations: ['40*54=2160']
Exploring Operation: 2160/30=72, Resulting Numbers: [27, 72]
Generated Node #3: [27, 72] from Operation: 2160/30=72
Current State: 99:[27, 72], Operations: ['40*54=2160', '2160/30=72']
Exploring Operation: 27+72=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[40, 54, 27, 30], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [40, 30, 2]
Generated Node #0,0: 99:[40, 30, 2] Operation: 54/27=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[40, 30, 2], Operations: ['54/27=2']
Exploring Operation: 40-30=10, Resulting Numbers: [2, 10]
Generated Node #0,0,0: 99:[2, 10] Operation: 40-30=10
Moving to Node #0,0,0
Current State: 99:[2, 10], Operations: ['54/27=2', '40-30=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,99 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 |
[
92,
45,
12,
95
] | 54 | [
"92+45=137",
"95-12=83",
"137-83=54"
] | Current State: 54:[92, 45, 12, 95], Operations: []
Exploring Operation: 92+45=137, Resulting Numbers: [12, 95, 137]
Generated Node #2: [12, 95, 137] from Operation: 92+45=137
Current State: 54:[12, 95, 137], Operations: ['92+45=137']
Exploring Operation: 95-12=83, Resulting Numbers: [137, 83]
Generated Node #3: [137, 83] from Operation: 95-12=83
Current State: 54:[137, 83], Operations: ['92+45=137', '95-12=83']
Exploring Operation: 137-83=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[92, 45, 12, 95], Operations: []
Exploring Operation: 95-92=3, Resulting Numbers: [45, 12, 3]
Generated Node #0,0: 54:[45, 12, 3] Operation: 95-92=3
Moving to Node #0,0
Current State: 54:[45, 12, 3], Operations: ['95-92=3']
Exploring Operation: 45+12=57, Resulting Numbers: [3, 57]
Generated Node #0,0,0: 54:[3, 57] Operation: 45+12=57
Moving to Node #0,0,0
Current State: 54:[3, 57], Operations: ['95-92=3', '45+12=57']
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[92, 45, 12, 95], Operations: []
Exploring Operation: 95-92=3, Resulting Numbers: [45, 12, 3]
Generated Node #0,0: 54:[45, 12, 3] Operation: 95-92=3
Moving to Node #0,0
Current State: 54:[45, 12, 3], Operations: ['95-92=3']
Exploring Operation: 45+12=57, Resulting Numbers: [3, 57]
Generated Node #0,0,0: 54:[3, 57] Operation: 45+12=57
Moving to Node #0,0,0
Current State: 54:[3, 57], Operations: ['95-92=3', '45+12=57']
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
45,
28,
62,
94
] | 92 | [
"28+62=90",
"90/45=2",
"94-2=92"
] | Current State: 92:[45, 28, 62, 94], Operations: []
Exploring Operation: 28+62=90, Resulting Numbers: [45, 94, 90]
Generated Node #2: [45, 94, 90] from Operation: 28+62=90
Current State: 92:[45, 94, 90], Operations: ['28+62=90']
Exploring Operation: 90/45=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 90/45=2
Current State: 92:[94, 2], Operations: ['28+62=90', '90/45=2']
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[45, 28, 62, 94], Operations: []
Exploring Operation: 28+62=90, Resulting Numbers: [45, 94, 90]
Generated Node #0,0: 92:[45, 94, 90] Operation: 28+62=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[45, 94, 90], Operations: ['28+62=90']
Exploring Operation: 94-90=4, Resulting Numbers: [45, 4]
Generated Node #0,0,0: 92:[45, 4] Operation: 94-90=4
Moving to Node #0,0,0
Current State: 92:[45, 4], Operations: ['28+62=90', '94-90=4']
Exploring Operation: 45+4=49, Resulting Numbers: [49]
49,92 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 |
[
76,
62,
13,
33
] | 34 | [
"76-62=14",
"33-13=20",
"14+20=34"
] | Current State: 34:[76, 62, 13, 33], Operations: []
Exploring Operation: 76-62=14, Resulting Numbers: [13, 33, 14]
Generated Node #2: [13, 33, 14] from Operation: 76-62=14
Current State: 34:[13, 33, 14], Operations: ['76-62=14']
Exploring Operation: 33-13=20, Resulting Numbers: [14, 20]
Generated Node #3: [14, 20] from Operation: 33-13=20
Current State: 34:[14, 20], Operations: ['76-62=14', '33-13=20']
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[76, 62, 13, 33], Operations: []
Exploring Operation: 76-62=14, Resulting Numbers: [13, 33, 14]
Generated Node #0,0: 34:[13, 33, 14] Operation: 76-62=14
Moving to Node #0,0
Current State: 34:[13, 33, 14], Operations: ['76-62=14']
Exploring Operation: 14-13=1, Resulting Numbers: [33, 1]
Generated Node #0,0,0: 34:[33, 1] Operation: 14-13=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 34:[33, 1], Operations: ['76-62=14', '14-13=1']
Exploring Operation: 33+1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[76, 62, 13, 33], Operations: []
Exploring Operation: 76-62=14, Resulting Numbers: [13, 33, 14]
Generated Node #0,0: 34:[13, 33, 14] Operation: 76-62=14
Moving to Node #0,0
Current State: 34:[13, 33, 14], Operations: ['76-62=14']
Exploring Operation: 14-13=1, Resulting Numbers: [33, 1]
Generated Node #0,0,0: 34:[33, 1] Operation: 14-13=1
Moving to Node #0,0,0
Current State: 34:[33, 1], Operations: ['76-62=14', '14-13=1']
Exploring Operation: 33+1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
17,
36,
97,
13
] | 65 | [
"36-17=19",
"97-13=84",
"84-19=65"
] | Current State: 65:[17, 36, 97, 13], Operations: []
Exploring Operation: 36-17=19, Resulting Numbers: [97, 13, 19]
Generated Node #2: [97, 13, 19] from Operation: 36-17=19
Current State: 65:[97, 13, 19], Operations: ['36-17=19']
Exploring Operation: 97-13=84, Resulting Numbers: [19, 84]
Generated Node #3: [19, 84] from Operation: 97-13=84
Current State: 65:[19, 84], Operations: ['36-17=19', '97-13=84']
Exploring Operation: 84-19=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[17, 36, 97, 13], Operations: []
Exploring Operation: 17+36=53, Resulting Numbers: [97, 13, 53]
Generated Node #0,0: 65:[97, 13, 53] Operation: 17+36=53
Exploring Operation: 36-13=23, Resulting Numbers: [17, 97, 23]
Generated Node #0,1: 65:[17, 97, 23] Operation: 36-13=23
Exploring Operation: 97-17=80, Resulting Numbers: [36, 13, 80]
Generated Node #0,2: 65:[36, 13, 80] Operation: 97-17=80
Exploring Operation: 97-36=61, Resulting Numbers: [17, 13, 61]
Generated Node #0,3: 65:[17, 13, 61] Operation: 97-36=61
Exploring Operation: 36-17=19, Resulting Numbers: [97, 13, 19]
Generated Node #0,4: 65:[97, 13, 19] Operation: 36-17=19
Moving to Node #0,3
Current State: 65:[17, 13, 61], Operations: ['97-36=61']
Exploring Operation: 61-17=44, Resulting Numbers: [13, 44]
Generated Node #0,3,0: 65:[13, 44] Operation: 61-17=44
Exploring Operation: 13+61=74, Resulting Numbers: [17, 74]
Generated Node #0,3,1: 65:[17, 74] Operation: 13+61=74
Exploring Operation: 17+61=78, Resulting Numbers: [13, 78]
Generated Node #0,3,2: 65:[13, 78] Operation: 17+61=78
Exploring Operation: 17+13=30, Resulting Numbers: [61, 30]
Generated Node #0,3,3: 65:[61, 30] Operation: 17+13=30
Exploring Operation: 17-13=4, Resulting Numbers: [61, 4]
Generated Node #0,3,4: 65:[61, 4] Operation: 17-13=4
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 65:[61, 4], Operations: ['97-36=61', '17-13=4']
Exploring Operation: 61+4=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[17, 36, 97, 13], Operations: []
Exploring Operation: 97-36=61, Resulting Numbers: [17, 13, 61]
Generated Node #0,3: 65:[17, 13, 61] Operation: 97-36=61
Moving to Node #0,3
Current State: 65:[17, 13, 61], Operations: ['97-36=61']
Exploring Operation: 17-13=4, Resulting Numbers: [61, 4]
Generated Node #0,3,4: 65:[61, 4] Operation: 17-13=4
Moving to Node #0,3,4
Current State: 65:[61, 4], Operations: ['97-36=61', '17-13=4']
Exploring Operation: 61+4=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
15,
79,
70,
90
] | 96 | [
"79-15=64",
"70+90=160",
"160-64=96"
] | Current State: 96:[15, 79, 70, 90], Operations: []
Exploring Operation: 79-15=64, Resulting Numbers: [70, 90, 64]
Generated Node #2: [70, 90, 64] from Operation: 79-15=64
Current State: 96:[70, 90, 64], Operations: ['79-15=64']
Exploring Operation: 70+90=160, Resulting Numbers: [64, 160]
Generated Node #3: [64, 160] from Operation: 70+90=160
Current State: 96:[64, 160], Operations: ['79-15=64', '70+90=160']
Exploring Operation: 160-64=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[15, 79, 70, 90], Operations: []
Exploring Operation: 90-79=11, Resulting Numbers: [15, 70, 11]
Generated Node #0,0: 96:[15, 70, 11] Operation: 90-79=11
Exploring Operation: 90-70=20, Resulting Numbers: [15, 79, 20]
Generated Node #0,1: 96:[15, 79, 20] Operation: 90-70=20
Exploring Operation: 79-70=9, Resulting Numbers: [15, 90, 9]
Generated Node #0,2: 96:[15, 90, 9] Operation: 79-70=9
Exploring Operation: 15+79=94, Resulting Numbers: [70, 90, 94]
Generated Node #0,3: 96:[70, 90, 94] Operation: 15+79=94
Start Sub Search at level 1: Moving to Node #0,2
Current State: 96:[15, 90, 9], Operations: ['79-70=9']
Exploring Operation: 90+9=99, Resulting Numbers: [15, 99]
Generated Node #0,2,0: 96:[15, 99] Operation: 90+9=99
Exploring Operation: 15+9=24, Resulting Numbers: [90, 24]
Generated Node #0,2,1: 96:[90, 24] Operation: 15+9=24
Exploring Operation: 90/15=6, Resulting Numbers: [9, 6]
Generated Node #0,2,2: 96:[9, 6] Operation: 90/15=6
Exploring Operation: 90/9=10, Resulting Numbers: [15, 10]
Generated Node #0,2,3: 96:[15, 10] Operation: 90/9=10
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 96:[9, 6], Operations: ['79-70=9', '90/15=6']
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,96 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,96 unequal: No Solution
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 96:[15, 10], Operations: ['79-70=9', '90/9=10']
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,96 unequal: No Solution
Exploring Operation: 15*10=150, Resulting Numbers: [150]
150,96 unequal: No Solution
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 96:[15, 99], Operations: ['79-70=9', '90+9=99']
Exploring Operation: 15+99=114, Resulting Numbers: [114]
114,96 unequal: No Solution
Exploring Operation: 15*99=1485, Resulting Numbers: [1485]
1485,96 unequal: No Solution
Exploring Operation: 99-15=84, Resulting Numbers: [84]
84,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 96:[90, 24], Operations: ['79-70=9', '15+9=24']
Exploring Operation: 90*24=2160, Resulting Numbers: [2160]
2160,96 unequal: No Solution
Exploring Operation: 90+24=114, Resulting Numbers: [114]
114,96 unequal: No Solution
Exploring Operation: 90-24=66, Resulting Numbers: [66]
66,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[15, 79, 20], Operations: ['90-70=20']
Exploring Operation: 20-15=5, Resulting Numbers: [79, 5]
Generated Node #0,1,0: 96:[79, 5] Operation: 20-15=5
Exploring Operation: 79-20=59, Resulting Numbers: [15, 59]
Generated Node #0,1,1: 96:[15, 59] Operation: 79-20=59
Exploring Operation: 15+79=94, Resulting Numbers: [20, 94]
Generated Node #0,1,2: 96:[20, 94] Operation: 15+79=94
Exploring Operation: 79+20=99, Resulting Numbers: [15, 99]
Generated Node #0,1,3: 96:[15, 99] Operation: 79+20=99
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 96:[15, 99], Operations: ['90-70=20', '79+20=99']
Exploring Operation: 15+99=114, Resulting Numbers: [114]
114,96 unequal: No Solution
Exploring Operation: 15*99=1485, Resulting Numbers: [1485]
1485,96 unequal: No Solution
Exploring Operation: 99-15=84, Resulting Numbers: [84]
84,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 96:[20, 94], Operations: ['90-70=20', '15+79=94']
Exploring Operation: 94-20=74, Resulting Numbers: [74]
74,96 unequal: No Solution
Exploring Operation: 20*94=1880, Resulting Numbers: [1880]
1880,96 unequal: No Solution
Exploring Operation: 20+94=114, Resulting Numbers: [114]
114,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 96:[15, 59], Operations: ['90-70=20', '79-20=59']
Exploring Operation: 15*59=885, Resulting Numbers: [885]
885,96 unequal: No Solution
Exploring Operation: 15+59=74, Resulting Numbers: [74]
74,96 unequal: No Solution
Exploring Operation: 59-15=44, Resulting Numbers: [44]
44,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 96:[79, 5], Operations: ['90-70=20', '20-15=5']
Exploring Operation: 79*5=395, Resulting Numbers: [395]
395,96 unequal: No Solution
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,96 unequal: No Solution
Exploring Operation: 79+5=84, Resulting Numbers: [84]
84,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[15, 70, 11], Operations: ['90-79=11']
Exploring Operation: 70-11=59, Resulting Numbers: [15, 59]
Generated Node #0,0,0: 96:[15, 59] Operation: 70-11=59
Exploring Operation: 15+70=85, Resulting Numbers: [11, 85]
Generated Node #0,0,1: 96:[11, 85] Operation: 15+70=85
Exploring Operation: 70-15=55, Resulting Numbers: [11, 55]
Generated Node #0,0,2: 96:[11, 55] Operation: 70-15=55
Exploring Operation: 70+11=81, Resulting Numbers: [15, 81]
Generated Node #0,0,3: 96:[15, 81] Operation: 70+11=81
Moving to Node #0,0,2
Current State: 96:[11, 55], Operations: ['90-79=11', '70-15=55']
Exploring Operation: 11*55=605, Resulting Numbers: [605]
605,96 unequal: No Solution
Exploring Operation: 11+55=66, Resulting Numbers: [66]
66,96 unequal: No Solution
Exploring Operation: 55/11=5, Resulting Numbers: [5]
5,96 unequal: No Solution
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[11, 85], Operations: ['90-79=11', '15+70=85']
Exploring Operation: 11*85=935, Resulting Numbers: [935]
935,96 unequal: No Solution
Exploring Operation: 85-11=74, Resulting Numbers: [74]
74,96 unequal: No Solution
Exploring Operation: 11+85=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[15, 79, 70, 90], Operations: []
Exploring Operation: 90-79=11, Resulting Numbers: [15, 70, 11]
Generated Node #0,0: 96:[15, 70, 11] Operation: 90-79=11
Moving to Node #0,0
Current State: 96:[15, 70, 11], Operations: ['90-79=11']
Exploring Operation: 15+70=85, Resulting Numbers: [11, 85]
Generated Node #0,0,1: 96:[11, 85] Operation: 15+70=85
Moving to Node #0,0,1
Current State: 96:[11, 85], Operations: ['90-79=11', '15+70=85']
Exploring Operation: 11+85=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.955729 | hs_4 | sum_heuristic |
[
28,
16,
12,
34
] | 58 | [
"28-16=12",
"12+34=46",
"12+46=58"
] | Current State: 58:[28, 16, 12, 34], Operations: []
Exploring Operation: 28-16=12, Resulting Numbers: [12, 34, 12]
Generated Node #2: [12, 34, 12] from Operation: 28-16=12
Current State: 58:[12, 34, 12], Operations: ['28-16=12']
Exploring Operation: 12+34=46, Resulting Numbers: [46]
46,58 equal: Goal Reached
Exploring Operation: 12+46=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[28, 16, 12, 34], Operations: []
Exploring Operation: 16-12=4, Resulting Numbers: [28, 34, 4]
Generated Node #0,0: 58:[28, 34, 4] Operation: 16-12=4
Exploring Operation: 16+12=28, Resulting Numbers: [28, 34, 28]
Generated Node #0,1: 58:[28, 34, 28] Operation: 16+12=28
Moving to Node #0,1
Current State: 58:[28, 34, 28], Operations: ['16+12=28']
Exploring Operation: 34-28=6, Resulting Numbers: [28, 6]
Generated Node #0,1,0: 58:[28, 6] Operation: 34-28=6
Exploring Operation: 28+34=62, Resulting Numbers: [28, 62]
Generated Node #0,1,1: 58:[28, 62] Operation: 28+34=62
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 58:[28, 6], Operations: ['16+12=28', '34-28=6']
Exploring Operation: 28+6=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,58 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 #0,1,1
Current State: 58:[28, 62], Operations: ['16+12=28', '28+34=62']
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Exploring Operation: 28+62=90, Resulting Numbers: [90]
90,58 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: 58:[28, 34, 4], Operations: ['16-12=4']
Exploring Operation: 28+34=62, Resulting Numbers: [4, 62]
Generated Node #0,0,0: 58:[4, 62] Operation: 28+34=62
Exploring Operation: 34-4=30, Resulting Numbers: [28, 30]
Generated Node #0,0,1: 58:[28, 30] Operation: 34-4=30
Moving to Node #0,0,1
Current State: 58:[28, 30], Operations: ['16-12=4', '34-4=30']
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 28+30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[28, 16, 12, 34], Operations: []
Exploring Operation: 16-12=4, Resulting Numbers: [28, 34, 4]
Generated Node #0,0: 58:[28, 34, 4] Operation: 16-12=4
Moving to Node #0,0
Current State: 58:[28, 34, 4], Operations: ['16-12=4']
Exploring Operation: 34-4=30, Resulting Numbers: [28, 30]
Generated Node #0,0,1: 58:[28, 30] Operation: 34-4=30
Moving to Node #0,0,1
Current State: 58:[28, 30], Operations: ['16-12=4', '34-4=30']
Exploring Operation: 28+30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 0.986111 | hs_2 | sum_heuristic |
[
3,
82,
92,
63
] | 56 | [
"3+82=85",
"92-63=29",
"85-29=56"
] | Current State: 56:[3, 82, 92, 63], Operations: []
Exploring Operation: 3+82=85, Resulting Numbers: [92, 63, 85]
Generated Node #2: [92, 63, 85] from Operation: 3+82=85
Current State: 56:[92, 63, 85], Operations: ['3+82=85']
Exploring Operation: 92-63=29, Resulting Numbers: [85, 29]
Generated Node #3: [85, 29] from Operation: 92-63=29
Current State: 56:[85, 29], Operations: ['3+82=85', '92-63=29']
Exploring Operation: 85-29=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[3, 82, 92, 63], Operations: []
Exploring Operation: 92-82=10, Resulting Numbers: [3, 63, 10]
Generated Node #0,0: 56:[3, 63, 10] Operation: 92-82=10
Exploring Operation: 82-63=19, Resulting Numbers: [3, 92, 19]
Generated Node #0,1: 56:[3, 92, 19] Operation: 82-63=19
Exploring Operation: 92-63=29, Resulting Numbers: [3, 82, 29]
Generated Node #0,2: 56:[3, 82, 29] Operation: 92-63=29
Moving to Node #0,0
Current State: 56:[3, 63, 10], Operations: ['92-82=10']
Exploring Operation: 63-10=53, Resulting Numbers: [3, 53]
Generated Node #0,0,0: 56:[3, 53] Operation: 63-10=53
Exploring Operation: 63-3=60, Resulting Numbers: [10, 60]
Generated Node #0,0,1: 56:[10, 60] Operation: 63-3=60
Exploring Operation: 10-3=7, Resulting Numbers: [63, 7]
Generated Node #0,0,2: 56:[63, 7] Operation: 10-3=7
Moving to Node #0,2
Current State: 56:[3, 82, 29], Operations: ['92-63=29']
Exploring Operation: 82-3=79, Resulting Numbers: [29, 79]
Generated Node #0,2,0: 56:[29, 79] Operation: 82-3=79
Exploring Operation: 82-29=53, Resulting Numbers: [3, 53]
Generated Node #0,2,1: 56:[3, 53] Operation: 82-29=53
Exploring Operation: 29-3=26, Resulting Numbers: [82, 26]
Generated Node #0,2,2: 56:[82, 26] Operation: 29-3=26
Moving to Node #0,1
Current State: 56:[3, 92, 19], Operations: ['82-63=19']
Exploring Operation: 92-3=89, Resulting Numbers: [19, 89]
Generated Node #0,1,0: 56:[19, 89] Operation: 92-3=89
Exploring Operation: 3*19=57, Resulting Numbers: [92, 57]
Generated Node #0,1,1: 56:[92, 57] Operation: 3*19=57
Exploring Operation: 92-19=73, Resulting Numbers: [3, 73]
Generated Node #0,1,2: 56:[3, 73] Operation: 92-19=73
Moving to Node #0,0,0
Current State: 56:[3, 53], Operations: ['92-82=10', '63-10=53']
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,56 unequal: No Solution
Exploring Operation: 3*53=159, Resulting Numbers: [159]
159,56 unequal: No Solution
Exploring Operation: 3+53=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[3, 82, 92, 63], Operations: []
Exploring Operation: 92-82=10, Resulting Numbers: [3, 63, 10]
Generated Node #0,0: 56:[3, 63, 10] Operation: 92-82=10
Moving to Node #0,0
Current State: 56:[3, 63, 10], Operations: ['92-82=10']
Exploring Operation: 63-10=53, Resulting Numbers: [3, 53]
Generated Node #0,0,0: 56:[3, 53] Operation: 63-10=53
Moving to Node #0,0,0
Current State: 56:[3, 53], Operations: ['92-82=10', '63-10=53']
Exploring Operation: 3+53=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 0.983507 | hs_3 | mult_heuristic |
[
10,
3,
58,
26
] | 86 | [
"10*26=260",
"3*58=174",
"260-174=86"
] | Current State: 86:[10, 3, 58, 26], Operations: []
Exploring Operation: 10*26=260, Resulting Numbers: [3, 58, 260]
Generated Node #2: [3, 58, 260] from Operation: 10*26=260
Current State: 86:[3, 58, 260], Operations: ['10*26=260']
Exploring Operation: 3*58=174, Resulting Numbers: [260, 174]
Generated Node #3: [260, 174] from Operation: 3*58=174
Current State: 86:[260, 174], Operations: ['10*26=260', '3*58=174']
Exploring Operation: 260-174=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[10, 3, 58, 26], Operations: []
Exploring Operation: 58+26=84, Resulting Numbers: [10, 3, 84]
Generated Node #0,0: 86:[10, 3, 84] Operation: 58+26=84
Moving to Node #0,0
Current State: 86:[10, 3, 84], Operations: ['58+26=84']
Exploring Operation: 10-3=7, Resulting Numbers: [84, 7]
Generated Node #0,0,0: 86:[84, 7] Operation: 10-3=7
Moving to Node #0,0,0
Current State: 86:[84, 7], Operations: ['58+26=84', '10-3=7']
Exploring Operation: 84+7=91, Resulting Numbers: [91]
91,86 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
6,
72,
71,
73
] | 30 | [
"73-71=2",
"72/2=36",
"36-6=30"
] | Current State: 30:[6, 72, 71, 73], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [6, 72, 2]
Generated Node #2: [6, 72, 2] from Operation: 73-71=2
Current State: 30:[6, 72, 2], Operations: ['73-71=2']
Exploring Operation: 72/2=36, Resulting Numbers: [6, 36]
Generated Node #3: [6, 36] from Operation: 72/2=36
Current State: 30:[6, 36], Operations: ['73-71=2', '72/2=36']
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[6, 72, 71, 73], Operations: []
Exploring Operation: 73-72=1, Resulting Numbers: [6, 71, 1]
Generated Node #0,0: 30:[6, 71, 1] Operation: 73-72=1
Exploring Operation: 73-71=2, Resulting Numbers: [6, 72, 2]
Generated Node #0,1: 30:[6, 72, 2] Operation: 73-71=2
Exploring Operation: 72-71=1, Resulting Numbers: [6, 73, 1]
Generated Node #0,2: 30:[6, 73, 1] Operation: 72-71=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[6, 71, 1], Operations: ['73-72=1']
Exploring Operation: 6*1=6, Resulting Numbers: [71, 6]
Generated Node #0,0,0: 30:[71, 6] Operation: 6*1=6
Exploring Operation: 71-1=70, Resulting Numbers: [6, 70]
Generated Node #0,0,1: 30:[6, 70] Operation: 71-1=70
Exploring Operation: 71-6=65, Resulting Numbers: [1, 65]
Generated Node #0,0,2: 30:[1, 65] Operation: 71-6=65
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 30:[1, 65], Operations: ['73-72=1', '71-6=65']
Exploring Operation: 65/1=65, Resulting Numbers: [65]
65,30 unequal: No Solution
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,30 unequal: No Solution
Exploring Operation: 1*65=65, Resulting Numbers: [65]
65,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 30:[6, 70], Operations: ['73-72=1', '71-1=70']
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,30 unequal: No Solution
Exploring Operation: 6*70=420, Resulting Numbers: [420]
420,30 unequal: No Solution
Exploring Operation: 6+70=76, Resulting Numbers: [76]
76,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[71, 6], Operations: ['73-72=1', '6*1=6']
Exploring Operation: 71*6=426, Resulting Numbers: [426]
426,30 unequal: No Solution
Exploring Operation: 71+6=77, Resulting Numbers: [77]
77,30 unequal: No Solution
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,30 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: 30:[6, 72, 2], Operations: ['73-71=2']
Exploring Operation: 72/6=12, Resulting Numbers: [2, 12]
Generated Node #0,1,0: 30:[2, 12] Operation: 72/6=12
Exploring Operation: 72-6=66, Resulting Numbers: [2, 66]
Generated Node #0,1,1: 30:[2, 66] Operation: 72-6=66
Exploring Operation: 72/2=36, Resulting Numbers: [6, 36]
Generated Node #0,1,2: 30:[6, 36] Operation: 72/2=36
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 30:[2, 12], Operations: ['73-71=2', '72/6=12']
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,30 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 30:[6, 36], Operations: ['73-71=2', '72/2=36']
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,30 unequal: No Solution
Exploring Operation: 6+36=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[6, 72, 71, 73], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [6, 72, 2]
Generated Node #0,1: 30:[6, 72, 2] Operation: 73-71=2
Moving to Node #0,1
Current State: 30:[6, 72, 2], Operations: ['73-71=2']
Exploring Operation: 72/2=36, Resulting Numbers: [6, 36]
Generated Node #0,1,2: 30:[6, 36] Operation: 72/2=36
Moving to Node #0,1,2
Current State: 30:[6, 36], Operations: ['73-71=2', '72/2=36']
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.975694 | hs_3 | mult_heuristic |
[
51,
8,
47,
84
] | 22 | [
"51+8=59",
"84-47=37",
"59-37=22"
] | Current State: 22:[51, 8, 47, 84], Operations: []
Exploring Operation: 51+8=59, Resulting Numbers: [47, 84, 59]
Generated Node #2: [47, 84, 59] from Operation: 51+8=59
Current State: 22:[47, 84, 59], Operations: ['51+8=59']
Exploring Operation: 84-47=37, Resulting Numbers: [59, 37]
Generated Node #3: [59, 37] from Operation: 84-47=37
Current State: 22:[59, 37], Operations: ['51+8=59', '84-47=37']
Exploring Operation: 59-37=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[51, 8, 47, 84], Operations: []
Exploring Operation: 51-47=4, Resulting Numbers: [8, 84, 4]
Generated Node #0,0: 22:[8, 84, 4] Operation: 51-47=4
Exploring Operation: 84-51=33, Resulting Numbers: [8, 47, 33]
Generated Node #0,1: 22:[8, 47, 33] Operation: 84-51=33
Exploring Operation: 51-8=43, Resulting Numbers: [47, 84, 43]
Generated Node #0,2: 22:[47, 84, 43] Operation: 51-8=43
Exploring Operation: 47-8=39, Resulting Numbers: [51, 84, 39]
Generated Node #0,3: 22:[51, 84, 39] Operation: 47-8=39
Exploring Operation: 84-47=37, Resulting Numbers: [51, 8, 37]
Generated Node #0,4: 22:[51, 8, 37] Operation: 84-47=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[8, 47, 33], Operations: ['84-51=33']
Exploring Operation: 8+33=41, Resulting Numbers: [47, 41]
Generated Node #0,1,0: 22:[47, 41] Operation: 8+33=41
Exploring Operation: 33-8=25, Resulting Numbers: [47, 25]
Generated Node #0,1,1: 22:[47, 25] Operation: 33-8=25
Exploring Operation: 47-33=14, Resulting Numbers: [8, 14]
Generated Node #0,1,2: 22:[8, 14] Operation: 47-33=14
Exploring Operation: 47-8=39, Resulting Numbers: [33, 39]
Generated Node #0,1,3: 22:[33, 39] Operation: 47-8=39
Exploring Operation: 8+47=55, Resulting Numbers: [33, 55]
Generated Node #0,1,4: 22:[33, 55] Operation: 8+47=55
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 22:[8, 14], Operations: ['84-51=33', '47-33=14']
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,22 unequal: No Solution
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[51, 8, 47, 84], Operations: []
Exploring Operation: 84-51=33, Resulting Numbers: [8, 47, 33]
Generated Node #0,1: 22:[8, 47, 33] Operation: 84-51=33
Moving to Node #0,1
Current State: 22:[8, 47, 33], Operations: ['84-51=33']
Exploring Operation: 47-33=14, Resulting Numbers: [8, 14]
Generated Node #0,1,2: 22:[8, 14] Operation: 47-33=14
Moving to Node #0,1,2
Current State: 22:[8, 14], Operations: ['84-51=33', '47-33=14']
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
41,
66,
48,
3
] | 79 | [
"66+48=114",
"114/3=38",
"41+38=79"
] | Current State: 79:[41, 66, 48, 3], Operations: []
Exploring Operation: 66+48=114, Resulting Numbers: [41, 3, 114]
Generated Node #2: [41, 3, 114] from Operation: 66+48=114
Current State: 79:[41, 3, 114], Operations: ['66+48=114']
Exploring Operation: 114/3=38, Resulting Numbers: [41, 38]
Generated Node #3: [41, 38] from Operation: 114/3=38
Current State: 79:[41, 38], Operations: ['66+48=114', '114/3=38']
Exploring Operation: 41+38=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[41, 66, 48, 3], Operations: []
Exploring Operation: 48+3=51, Resulting Numbers: [41, 66, 51]
Generated Node #0,0: 79:[41, 66, 51] Operation: 48+3=51
Exploring Operation: 66+3=69, Resulting Numbers: [41, 48, 69]
Generated Node #0,1: 79:[41, 48, 69] Operation: 66+3=69
Exploring Operation: 41-3=38, Resulting Numbers: [66, 48, 38]
Generated Node #0,2: 79:[66, 48, 38] Operation: 41-3=38
Exploring Operation: 41+3=44, Resulting Numbers: [66, 48, 44]
Generated Node #0,3: 79:[66, 48, 44] Operation: 41+3=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[41, 66, 51], Operations: ['48+3=51']
Exploring Operation: 41+51=92, Resulting Numbers: [66, 92]
Generated Node #0,0,0: 79:[66, 92] Operation: 41+51=92
Exploring Operation: 66-41=25, Resulting Numbers: [51, 25]
Generated Node #0,0,1: 79:[51, 25] Operation: 66-41=25
Exploring Operation: 41+66=107, Resulting Numbers: [51, 107]
Generated Node #0,0,2: 79:[51, 107] Operation: 41+66=107
Exploring Operation: 66+51=117, Resulting Numbers: [41, 117]
Generated Node #0,0,3: 79:[41, 117] Operation: 66+51=117
Moving to Node #0,0,0
Current State: 79:[66, 92], Operations: ['48+3=51', '41+51=92']
Exploring Operation: 66*92=6072, Resulting Numbers: [6072]
6072,79 unequal: No Solution
Exploring Operation: 92-66=26, Resulting Numbers: [26]
26,79 unequal: No Solution
Exploring Operation: 66+92=158, Resulting Numbers: [158]
158,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[51, 107], Operations: ['48+3=51', '41+66=107']
Exploring Operation: 51*107=5457, Resulting Numbers: [5457]
5457,79 unequal: No Solution
Exploring Operation: 107-51=56, Resulting Numbers: [56]
56,79 unequal: No Solution
Exploring Operation: 51+107=158, Resulting Numbers: [158]
158,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[41, 117], Operations: ['48+3=51', '66+51=117']
Exploring Operation: 117-41=76, Resulting Numbers: [76]
76,79 unequal: No Solution
Exploring Operation: 41*117=4797, Resulting Numbers: [4797]
4797,79 unequal: No Solution
Exploring Operation: 41+117=158, Resulting Numbers: [158]
158,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[51, 25], Operations: ['48+3=51', '66-41=25']
Exploring Operation: 51*25=1275, Resulting Numbers: [1275]
1275,79 unequal: No Solution
Exploring Operation: 51+25=76, Resulting Numbers: [76]
76,79 unequal: No Solution
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[41, 48, 69], Operations: ['66+3=69']
Exploring Operation: 41+69=110, Resulting Numbers: [48, 110]
Generated Node #0,1,0: 79:[48, 110] Operation: 41+69=110
Exploring Operation: 48-41=7, Resulting Numbers: [69, 7]
Generated Node #0,1,1: 79:[69, 7] Operation: 48-41=7
Exploring Operation: 48+69=117, Resulting Numbers: [41, 117]
Generated Node #0,1,2: 79:[41, 117] Operation: 48+69=117
Exploring Operation: 41+48=89, Resulting Numbers: [69, 89]
Generated Node #0,1,3: 79:[69, 89] Operation: 41+48=89
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 79:[69, 89], Operations: ['66+3=69', '41+48=89']
Exploring Operation: 69*89=6141, Resulting Numbers: [6141]
6141,79 unequal: No Solution
Exploring Operation: 89-69=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 69+89=158, Resulting Numbers: [158]
158,79 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 #0,1,0
Current State: 79:[48, 110], Operations: ['66+3=69', '41+69=110']
Exploring Operation: 110-48=62, Resulting Numbers: [62]
62,79 unequal: No Solution
Exploring Operation: 48*110=5280, Resulting Numbers: [5280]
5280,79 unequal: No Solution
Exploring Operation: 48+110=158, Resulting Numbers: [158]
158,79 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:[41, 117], Operations: ['66+3=69', '48+69=117']
Exploring Operation: 41*117=4797, Resulting Numbers: [4797]
4797,79 unequal: No Solution
Exploring Operation: 41+117=158, Resulting Numbers: [158]
158,79 unequal: No Solution
Exploring Operation: 117-41=76, Resulting Numbers: [76]
76,79 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:[69, 7], Operations: ['66+3=69', '48-41=7']
Exploring Operation: 69+7=76, Resulting Numbers: [76]
76,79 unequal: No Solution
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,79 unequal: No Solution
Exploring Operation: 69*7=483, Resulting Numbers: [483]
483,79 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 #0,3
Current State: 79:[66, 48, 44], Operations: ['41+3=44']
Exploring Operation: 48+44=92, Resulting Numbers: [66, 92]
Generated Node #0,3,0: 79:[66, 92] Operation: 48+44=92
Exploring Operation: 66+48=114, Resulting Numbers: [44, 114]
Generated Node #0,3,1: 79:[44, 114] Operation: 66+48=114
Exploring Operation: 66+44=110, Resulting Numbers: [48, 110]
Generated Node #0,3,2: 79:[48, 110] Operation: 66+44=110
Exploring Operation: 66-44=22, Resulting Numbers: [48, 22]
Generated Node #0,3,3: 79:[48, 22] Operation: 66-44=22
Moving to Node #0,3,0
Current State: 79:[66, 92], Operations: ['41+3=44', '48+44=92']
Exploring Operation: 66+92=158, Resulting Numbers: [158]
158,79 unequal: No Solution
Exploring Operation: 92-66=26, Resulting Numbers: [26]
26,79 unequal: No Solution
Exploring Operation: 66*92=6072, Resulting Numbers: [6072]
6072,79 unequal: No Solution
Moving to Node #0,3,2
Current State: 79:[48, 110], Operations: ['41+3=44', '66+44=110']
Exploring Operation: 48*110=5280, Resulting Numbers: [5280]
5280,79 unequal: No Solution
Exploring Operation: 110-48=62, Resulting Numbers: [62]
62,79 unequal: No Solution
Exploring Operation: 48+110=158, Resulting Numbers: [158]
158,79 unequal: No Solution
Moving to Node #0,3,1
Current State: 79:[44, 114], Operations: ['41+3=44', '66+48=114']
Exploring Operation: 44*114=5016, Resulting Numbers: [5016]
5016,79 unequal: No Solution
Exploring Operation: 114-44=70, Resulting Numbers: [70]
70,79 unequal: No Solution
Exploring Operation: 44+114=158, Resulting Numbers: [158]
158,79 unequal: No Solution
Moving to Node #0,3,3
Current State: 79:[48, 22], Operations: ['41+3=44', '66-44=22']
Exploring Operation: 48*22=1056, Resulting Numbers: [1056]
1056,79 unequal: No Solution
Exploring Operation: 48-22=26, Resulting Numbers: [26]
26,79 unequal: No Solution
Exploring Operation: 48+22=70, Resulting Numbers: [70]
70,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[66, 48, 38], Operations: ['41-3=38']
Exploring Operation: 66+48=114, Resulting Numbers: [38, 114]
Generated Node #0,2,0: 79:[38, 114] Operation: 66+48=114
Exploring Operation: 66-38=28, Resulting Numbers: [48, 28]
Generated Node #0,2,1: 79:[48, 28] Operation: 66-38=28
Exploring Operation: 66+38=104, Resulting Numbers: [48, 104]
Generated Node #0,2,2: 79:[48, 104] Operation: 66+38=104
Exploring Operation: 48+38=86, Resulting Numbers: [66, 86]
Generated Node #0,2,3: 79:[66, 86] Operation: 48+38=86
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 79:[66, 86], Operations: ['41-3=38', '48+38=86']
Exploring Operation: 66*86=5676, Resulting Numbers: [5676]
5676,79 unequal: No Solution
Exploring Operation: 66+86=152, Resulting Numbers: [152]
152,79 unequal: No Solution
Exploring Operation: 86-66=20, Resulting Numbers: [20]
20,79 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:[48, 104], Operations: ['41-3=38', '66+38=104']
Exploring Operation: 48+104=152, Resulting Numbers: [152]
152,79 unequal: No Solution
Exploring Operation: 104-48=56, Resulting Numbers: [56]
56,79 unequal: No Solution
Exploring Operation: 48*104=4992, Resulting Numbers: [4992]
4992,79 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:[38, 114], Operations: ['41-3=38', '66+48=114']
Exploring Operation: 114-38=76, Resulting Numbers: [76]
76,79 unequal: No Solution
Exploring Operation: 114/38=3, Resulting Numbers: [3]
3,79 unequal: No Solution
Exploring Operation: 38+114=152, Resulting Numbers: [152]
152,79 unequal: No Solution
Exploring Operation: 38*114=4332, Resulting Numbers: [4332]
4332,79 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 #0,2,1
Current State: 79:[48, 28], Operations: ['41-3=38', '66-38=28']
Exploring Operation: 48+28=76, Resulting Numbers: [76]
76,79 unequal: No Solution
Exploring Operation: 48*28=1344, Resulting Numbers: [1344]
1344,79 unequal: No Solution
Exploring Operation: 48-28=20, Resulting Numbers: [20]
20,79 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_4 | mult_heuristic |
[
41,
56,
23,
60
] | 68 | [
"56-41=15",
"23+60=83",
"83-15=68"
] | Current State: 68:[41, 56, 23, 60], Operations: []
Exploring Operation: 56-41=15, Resulting Numbers: [23, 60, 15]
Generated Node #2: [23, 60, 15] from Operation: 56-41=15
Current State: 68:[23, 60, 15], Operations: ['56-41=15']
Exploring Operation: 23+60=83, Resulting Numbers: [15, 83]
Generated Node #3: [15, 83] from Operation: 23+60=83
Current State: 68:[15, 83], Operations: ['56-41=15', '23+60=83']
Exploring Operation: 83-15=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[41, 56, 23, 60], Operations: []
Exploring Operation: 60-41=19, Resulting Numbers: [56, 23, 19]
Generated Node #0,0: 68:[56, 23, 19] Operation: 60-41=19
Exploring Operation: 56-23=33, Resulting Numbers: [41, 60, 33]
Generated Node #0,1: 68:[41, 60, 33] Operation: 56-23=33
Exploring Operation: 56-41=15, Resulting Numbers: [23, 60, 15]
Generated Node #0,2: 68:[23, 60, 15] Operation: 56-41=15
Exploring Operation: 41-23=18, Resulting Numbers: [56, 60, 18]
Generated Node #0,3: 68:[56, 60, 18] Operation: 41-23=18
Exploring Operation: 60-56=4, Resulting Numbers: [41, 23, 4]
Generated Node #0,4: 68:[41, 23, 4] Operation: 60-56=4
Moving to Node #0,4
Current State: 68:[41, 23, 4], Operations: ['60-56=4']
Exploring Operation: 41-23=18, Resulting Numbers: [4, 18]
Generated Node #0,4,0: 68:[4, 18] Operation: 41-23=18
Exploring Operation: 23-4=19, Resulting Numbers: [41, 19]
Generated Node #0,4,1: 68:[41, 19] Operation: 23-4=19
Exploring Operation: 23+4=27, Resulting Numbers: [41, 27]
Generated Node #0,4,2: 68:[41, 27] Operation: 23+4=27
Exploring Operation: 41+23=64, Resulting Numbers: [4, 64]
Generated Node #0,4,3: 68:[4, 64] Operation: 41+23=64
Exploring Operation: 41-4=37, Resulting Numbers: [23, 37]
Generated Node #0,4,4: 68:[23, 37] Operation: 41-4=37
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 68:[4, 18], Operations: ['60-56=4', '41-23=18']
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,68 unequal: No Solution
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,68 unequal: No Solution
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 68:[4, 64], Operations: ['60-56=4', '41+23=64']
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,68 unequal: No Solution
Exploring Operation: 4*64=256, Resulting Numbers: [256]
256,68 unequal: No Solution
Exploring Operation: 4+64=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[41, 56, 23, 60], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [41, 23, 4]
Generated Node #0,4: 68:[41, 23, 4] Operation: 60-56=4
Moving to Node #0,4
Current State: 68:[41, 23, 4], Operations: ['60-56=4']
Exploring Operation: 41+23=64, Resulting Numbers: [4, 64]
Generated Node #0,4,3: 68:[4, 64] Operation: 41+23=64
Moving to Node #0,4,3
Current State: 68:[4, 64], Operations: ['60-56=4', '41+23=64']
Exploring Operation: 4+64=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
80,
5,
95,
10
] | 35 | [
"80+95=175",
"10-5=5",
"175/5=35"
] | Current State: 35:[80, 5, 95, 10], Operations: []
Exploring Operation: 80+95=175, Resulting Numbers: [5, 10, 175]
Generated Node #2: [5, 10, 175] from Operation: 80+95=175
Current State: 35:[5, 10, 175], Operations: ['80+95=175']
Exploring Operation: 10-5=5, Resulting Numbers: [175, 5]
Generated Node #3: [175, 5] from Operation: 10-5=5
Current State: 35:[175, 5], Operations: ['80+95=175', '10-5=5']
Exploring Operation: 175/5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[80, 5, 95, 10], Operations: []
Exploring Operation: 80/10=8, Resulting Numbers: [5, 95, 8]
Generated Node #0,0: 35:[5, 95, 8] Operation: 80/10=8
Exploring Operation: 95-80=15, Resulting Numbers: [5, 10, 15]
Generated Node #0,1: 35:[5, 10, 15] Operation: 95-80=15
Exploring Operation: 95/5=19, Resulting Numbers: [80, 10, 19]
Generated Node #0,2: 35:[80, 10, 19] Operation: 95/5=19
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[5, 10, 15], Operations: ['95-80=15']
Exploring Operation: 15-5=10, Resulting Numbers: [10, 10]
Generated Node #0,1,0: 35:[10, 10] Operation: 15-5=10
Exploring Operation: 15/5=3, Resulting Numbers: [10, 3]
Generated Node #0,1,1: 35:[10, 3] Operation: 15/5=3
Exploring Operation: 15-10=5, Resulting Numbers: [5, 5]
Generated Node #0,1,2: 35:[5, 5] Operation: 15-10=5
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 35:[5, 5], Operations: ['95-80=15', '15-10=5']
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,35 unequal: No Solution
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,35 unequal: No Solution
No 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: 35:[10, 3], Operations: ['95-80=15', '15/5=3']
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,35 unequal: No Solution
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,35 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,35 unequal: No Solution
No 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: 35:[10, 10], Operations: ['95-80=15', '15-5=10']
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,35 unequal: No Solution
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,35 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: 35:[80, 10, 19], Operations: ['95/5=19']
Exploring Operation: 80-10=70, Resulting Numbers: [19, 70]
Generated Node #0,2,0: 35:[19, 70] Operation: 80-10=70
Exploring Operation: 80/10=8, Resulting Numbers: [19, 8]
Generated Node #0,2,1: 35:[19, 8] Operation: 80/10=8
Exploring Operation: 80-19=61, Resulting Numbers: [10, 61]
Generated Node #0,2,2: 35:[10, 61] Operation: 80-19=61
Moving to Node #0,2,1
Current State: 35:[19, 8], Operations: ['95/5=19', '80/10=8']
Exploring Operation: 19+8=27, Resulting Numbers: [27]
27,35 unequal: No Solution
Exploring Operation: 19*8=152, Resulting Numbers: [152]
152,35 unequal: No Solution
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,35 unequal: No Solution
Moving to Node #0,2,2
Current State: 35:[10, 61], Operations: ['95/5=19', '80-19=61']
Exploring Operation: 10*61=610, Resulting Numbers: [610]
610,35 unequal: No Solution
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,35 unequal: No Solution
Exploring Operation: 10+61=71, Resulting Numbers: [71]
71,35 unequal: No Solution
Moving to Node #0,2,0
Current State: 35:[19, 70], Operations: ['95/5=19', '80-10=70']
Exploring Operation: 70-19=51, Resulting Numbers: [51]
51,35 unequal: No Solution
Exploring Operation: 19*70=1330, Resulting Numbers: [1330]
1330,35 unequal: No Solution
Exploring Operation: 19+70=89, Resulting Numbers: [89]
89,35 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:[5, 95, 8], Operations: ['80/10=8']
Exploring Operation: 95-8=87, Resulting Numbers: [5, 87]
Generated Node #0,0,0: 35:[5, 87] Operation: 95-8=87
Exploring Operation: 95/5=19, Resulting Numbers: [8, 19]
Generated Node #0,0,1: 35:[8, 19] Operation: 95/5=19
Exploring Operation: 95-5=90, Resulting Numbers: [8, 90]
Generated Node #0,0,2: 35:[8, 90] Operation: 95-5=90
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 35:[8, 19], Operations: ['80/10=8', '95/5=19']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,35 unequal: No Solution
Exploring Operation: 8+19=27, Resulting Numbers: [27]
27,35 unequal: No Solution
Exploring Operation: 8*19=152, Resulting Numbers: [152]
152,35 unequal: No Solution
No 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: 35:[5, 87], Operations: ['80/10=8', '95-8=87']
Exploring Operation: 5+87=92, Resulting Numbers: [92]
92,35 unequal: No Solution
Exploring Operation: 87-5=82, Resulting Numbers: [82]
82,35 unequal: No Solution
Exploring Operation: 5*87=435, Resulting Numbers: [435]
435,35 unequal: No Solution
No 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: 35:[8, 90], Operations: ['80/10=8', '95-5=90']
Exploring Operation: 90-8=82, Resulting Numbers: [82]
82,35 unequal: No Solution
Exploring Operation: 8*90=720, Resulting Numbers: [720]
720,35 unequal: No Solution
Exploring Operation: 8+90=98, Resulting Numbers: [98]
98,35 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 |
[
56,
7,
8,
4
] | 80 | [
"7-4=3",
"8*3=24",
"56+24=80"
] | Current State: 80:[56, 7, 8, 4], Operations: []
Exploring Operation: 7-4=3, Resulting Numbers: [56, 8, 3]
Generated Node #2: [56, 8, 3] from Operation: 7-4=3
Current State: 80:[56, 8, 3], Operations: ['7-4=3']
Exploring Operation: 8*3=24, Resulting Numbers: [56, 24]
Generated Node #3: [56, 24] from Operation: 8*3=24
Current State: 80:[56, 24], Operations: ['7-4=3', '8*3=24']
Exploring Operation: 56+24=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[56, 7, 8, 4], Operations: []
Exploring Operation: 56/4=14, Resulting Numbers: [7, 8, 14]
Generated Node #0,0: 80:[7, 8, 14] Operation: 56/4=14
Exploring Operation: 56-7=49, Resulting Numbers: [8, 4, 49]
Generated Node #0,1: 80:[8, 4, 49] Operation: 56-7=49
Exploring Operation: 56/7=8, Resulting Numbers: [8, 4, 8]
Generated Node #0,2: 80:[8, 4, 8] Operation: 56/7=8
Exploring Operation: 56/8=7, Resulting Numbers: [7, 4, 7]
Generated Node #0,3: 80:[7, 4, 7] Operation: 56/8=7
Exploring Operation: 56-8=48, Resulting Numbers: [7, 4, 48]
Generated Node #0,4: 80:[7, 4, 48] Operation: 56-8=48
Start Sub Search at level 1: Moving to Node #0,2
Current State: 80:[8, 4, 8], Operations: ['56/7=8']
Exploring Operation: 8-4=4, Resulting Numbers: [8, 4]
Generated Node #0,2,0: 80:[8, 4] Operation: 8-4=4
Exploring Operation: 8/4=2, Resulting Numbers: [8, 2]
Generated Node #0,2,1: 80:[8, 2] Operation: 8/4=2
Exploring Operation: 8-4=4, Resulting Numbers: [8, 4]
Generated Node #0,2,2: 80:[8, 4] Operation: 8-4=4
Exploring Operation: 8+8=16, Resulting Numbers: [4, 16]
Generated Node #0,2,3: 80:[4, 16] Operation: 8+8=16
Exploring Operation: 8/4=2, Resulting Numbers: [8, 2]
Generated Node #0,2,4: 80:[8, 2] Operation: 8/4=2
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 80:[8, 4], Operations: ['56/7=8', '8-4=4']
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,80 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:[8, 2], Operations: ['56/7=8', '8/4=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,80 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 #0,2,2
Current State: 80:[8, 4], Operations: ['56/7=8', '8-4=4']
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,80 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,80 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,80 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 #0,2,3
Current State: 80:[4, 16], Operations: ['56/7=8', '8+8=16']
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,80 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,80 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 #0,2,4
Current State: 80:[8, 2], Operations: ['56/7=8', '8/4=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,80 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,80 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 #0,3
Current State: 80:[7, 4, 7], Operations: ['56/8=7']
Exploring Operation: 7/7=1, Resulting Numbers: [4, 1]
Generated Node #0,3,0: 80:[4, 1] Operation: 7/7=1
Exploring Operation: 7-7=0, Resulting Numbers: [4, 0]
Generated Node #0,3,1: 80:[4, 0] Operation: 7-7=0
Exploring Operation: 7+4=11, Resulting Numbers: [7, 11]
Generated Node #0,3,2: 80:[7, 11] Operation: 7+4=11
Exploring Operation: 7-4=3, Resulting Numbers: [7, 3]
Generated Node #0,3,3: 80:[7, 3] Operation: 7-4=3
Exploring Operation: 7+7=14, Resulting Numbers: [4, 14]
Generated Node #0,3,4: 80:[4, 14] Operation: 7+7=14
Moving to Node #0,3,0
Current State: 80:[4, 1], Operations: ['56/8=7', '7/7=1']
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Moving to Node #0,3,2
Current State: 80:[7, 11], Operations: ['56/8=7', '7+4=11']
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 7+11=18, Resulting Numbers: [18]
18,80 unequal: No Solution
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,80 unequal: No Solution
Moving to Node #0,3,4
Current State: 80:[4, 14], Operations: ['56/8=7', '7+7=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,80 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,80 unequal: No Solution
Moving to Node #0,3,1
Current State: 80:[4, 0], Operations: ['56/8=7', '7-7=0']
Exploring Operation: 4+0=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 4*0=0, Resulting Numbers: [0]
0,80 unequal: No Solution
Exploring Operation: 4-0=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Moving to Node #0,3,3
Current State: 80:[7, 3], Operations: ['56/8=7', '7-4=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,80 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[7, 8, 14], Operations: ['56/4=14']
Exploring Operation: 14/7=2, Resulting Numbers: [8, 2]
Generated Node #0,0,0: 80:[8, 2] Operation: 14/7=2
Exploring Operation: 7+14=21, Resulting Numbers: [8, 21]
Generated Node #0,0,1: 80:[8, 21] Operation: 7+14=21
Exploring Operation: 14-8=6, Resulting Numbers: [7, 6]
Generated Node #0,0,2: 80:[7, 6] Operation: 14-8=6
Exploring Operation: 14-7=7, Resulting Numbers: [8, 7]
Generated Node #0,0,3: 80:[8, 7] Operation: 14-7=7
Exploring Operation: 7+8=15, Resulting Numbers: [14, 15]
Generated Node #0,0,4: 80:[14, 15] Operation: 7+8=15
Moving to Node #0,0,0
Current State: 80:[8, 2], Operations: ['56/4=14', '14/7=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,80 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Moving to Node #0,0,3
Current State: 80:[8, 7], Operations: ['56/4=14', '14-7=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,80 unequal: No Solution
Exploring Operation: 8+7=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Moving to Node #0,0,1
Current State: 80:[8, 21], Operations: ['56/4=14', '7+14=21']
Exploring Operation: 8+21=29, Resulting Numbers: [29]
29,80 unequal: No Solution
Exploring Operation: 8*21=168, Resulting Numbers: [168]
168,80 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,80 unequal: No Solution
Moving to Node #0,0,2
Current State: 80:[7, 6], Operations: ['56/4=14', '14-8=6']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,80 unequal: No Solution
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,80 unequal: No Solution
Moving to Node #0,0,4
Current State: 80:[14, 15], Operations: ['56/4=14', '7+8=15']
Exploring Operation: 14+15=29, Resulting Numbers: [29]
29,80 unequal: No Solution
Exploring Operation: 14*15=210, Resulting Numbers: [210]
210,80 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[8, 4, 49], Operations: ['56-7=49']
Exploring Operation: 49-4=45, Resulting Numbers: [8, 45]
Generated Node #0,1,0: 80:[8, 45] Operation: 49-4=45
Exploring Operation: 8-4=4, Resulting Numbers: [49, 4]
Generated Node #0,1,1: 80:[49, 4] Operation: 8-4=4
Exploring Operation: 8+4=12, Resulting Numbers: [49, 12]
Generated Node #0,1,2: 80:[49, 12] Operation: 8+4=12
Exploring Operation: 8/4=2, Resulting Numbers: [49, 2]
Generated Node #0,1,3: 80:[49, 2] Operation: 8/4=2
Exploring Operation: 49-8=41, Resulting Numbers: [4, 41]
Generated Node #0,1,4: 80:[4, 41] Operation: 49-8=41
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 80:[4, 41], Operations: ['56-7=49', '49-8=41']
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,80 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Exploring Operation: 4*41=164, Resulting Numbers: [164]
164,80 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 #0,1,0
Current State: 80:[8, 45], Operations: ['56-7=49', '49-4=45']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Exploring Operation: 8+45=53, Resulting Numbers: [53]
53,80 unequal: No Solution
Exploring Operation: 8*45=360, Resulting Numbers: [360]
360,80 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:[49, 4], Operations: ['56-7=49', '8-4=4']
Exploring Operation: 49+4=53, Resulting Numbers: [53]
53,80 unequal: No Solution
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,80 unequal: No Solution
Exploring Operation: 49*4=196, Resulting Numbers: [196]
196,80 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 #0,1,3
Current State: 80:[49, 2], Operations: ['56-7=49', '8/4=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,80 unequal: No Solution
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,80 unequal: No Solution
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,80 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:[49, 12], Operations: ['56-7=49', '8+4=12']
Exploring Operation: 49*12=588, Resulting Numbers: [588]
588,80 unequal: No Solution
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Exploring Operation: 49+12=61, Resulting Numbers: [61]
61,80 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 #0,4
Current State: 80:[7, 4, 48], Operations: ['56-8=48']
Exploring Operation: 48/4=12, Resulting Numbers: [7, 12]
Generated Node #0,4,0: 80:[7, 12] Operation: 48/4=12
Exploring Operation: 7-4=3, Resulting Numbers: [48, 3]
Generated Node #0,4,1: 80:[48, 3] Operation: 7-4=3
Exploring Operation: 7+4=11, Resulting Numbers: [48, 11]
Generated Node #0,4,2: 80:[48, 11] Operation: 7+4=11
Exploring Operation: 48-7=41, Resulting Numbers: [4, 41]
Generated Node #0,4,3: 80:[4, 41] Operation: 48-7=41
Exploring Operation: 48-4=44, Resulting Numbers: [7, 44]
Generated Node #0,4,4: 80:[7, 44] Operation: 48-4=44
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 80:[4, 41], Operations: ['56-8=48', '48-7=41']
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,80 unequal: No Solution
Exploring Operation: 4*41=164, Resulting Numbers: [164]
164,80 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,80 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 #0,4,0
Current State: 80:[7, 12], Operations: ['56-8=48', '48/4=12']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,80 unequal: No Solution
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,80 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 #0,4,4
Current State: 80:[7, 44], Operations: ['56-8=48', '48-4=44']
Exploring Operation: 7*44=308, Resulting Numbers: [308]
308,80 unequal: No Solution
Exploring Operation: 7+44=51, Resulting Numbers: [51]
51,80 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,80 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 #0,4,1
Current State: 80:[48, 3], Operations: ['56-8=48', '7-4=3']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,80 unequal: No Solution
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,80 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,80 unequal: No Solution
Exploring Operation: 48*3=144, Resulting Numbers: [144]
144,80 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 #0,4,2
Current State: 80:[48, 11], Operations: ['56-8=48', '7+4=11']
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Exploring Operation: 48+11=59, Resulting Numbers: [59]
59,80 unequal: No Solution
Exploring Operation: 48*11=528, Resulting Numbers: [528]
528,80 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_5 | sum_heuristic |
[
60,
30,
12,
32
] | 20 | [
"60-12=48",
"30*32=960",
"960/48=20"
] | Current State: 20:[60, 30, 12, 32], Operations: []
Exploring Operation: 60-12=48, Resulting Numbers: [30, 32, 48]
Generated Node #2: [30, 32, 48] from Operation: 60-12=48
Current State: 20:[30, 32, 48], Operations: ['60-12=48']
Exploring Operation: 30*32=960, Resulting Numbers: [48, 960]
Generated Node #3: [48, 960] from Operation: 30*32=960
Current State: 20:[48, 960], Operations: ['60-12=48', '30*32=960']
Exploring Operation: 960/48=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[60, 30, 12, 32], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [12, 32, 2]
Generated Node #0,0: 20:[12, 32, 2] Operation: 60/30=2
Moving to Node #0,0
Current State: 20:[12, 32, 2], Operations: ['60/30=2']
Exploring Operation: 32-12=20, Resulting Numbers: [2, 20]
Generated Node #0,0,0: 20:[2, 20] Operation: 32-12=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 20:[2, 20], Operations: ['60/30=2', '32-12=20']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,20 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 |
[
14,
8,
15,
21
] | 16 | [
"14+8=22",
"21-15=6",
"22-6=16"
] | Current State: 16:[14, 8, 15, 21], Operations: []
Exploring Operation: 14+8=22, Resulting Numbers: [15, 21, 22]
Generated Node #2: [15, 21, 22] from Operation: 14+8=22
Current State: 16:[15, 21, 22], Operations: ['14+8=22']
Exploring Operation: 21-15=6, Resulting Numbers: [22, 6]
Generated Node #3: [22, 6] from Operation: 21-15=6
Current State: 16:[22, 6], Operations: ['14+8=22', '21-15=6']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[14, 8, 15, 21], Operations: []
Exploring Operation: 15-14=1, Resulting Numbers: [8, 21, 1]
Generated Node #0,0: 16:[8, 21, 1] Operation: 15-14=1
Exploring Operation: 21-15=6, Resulting Numbers: [14, 8, 6]
Generated Node #0,1: 16:[14, 8, 6] Operation: 21-15=6
Exploring Operation: 14-8=6, Resulting Numbers: [15, 21, 6]
Generated Node #0,2: 16:[15, 21, 6] Operation: 14-8=6
Exploring Operation: 21-8=13, Resulting Numbers: [14, 15, 13]
Generated Node #0,3: 16:[14, 15, 13] Operation: 21-8=13
Exploring Operation: 21-14=7, Resulting Numbers: [8, 15, 7]
Generated Node #0,4: 16:[8, 15, 7] Operation: 21-14=7
Moving to Node #0,4
Current State: 16:[8, 15, 7], Operations: ['21-14=7']
Exploring Operation: 15-8=7, Resulting Numbers: [7, 7]
Generated Node #0,4,0: 16:[7, 7] Operation: 15-8=7
Exploring Operation: 8-7=1, Resulting Numbers: [15, 1]
Generated Node #0,4,1: 16:[15, 1] Operation: 8-7=1
Exploring Operation: 8+7=15, Resulting Numbers: [15, 15]
Generated Node #0,4,2: 16:[15, 15] Operation: 8+7=15
Exploring Operation: 15+7=22, Resulting Numbers: [8, 22]
Generated Node #0,4,3: 16:[8, 22] Operation: 15+7=22
Exploring Operation: 15-7=8, Resulting Numbers: [8, 8]
Generated Node #0,4,4: 16:[8, 8] Operation: 15-7=8
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 16:[8, 8], Operations: ['21-14=7', '15-7=8']
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[14, 8, 15, 21], Operations: []
Exploring Operation: 21-14=7, Resulting Numbers: [8, 15, 7]
Generated Node #0,4: 16:[8, 15, 7] Operation: 21-14=7
Moving to Node #0,4
Current State: 16:[8, 15, 7], Operations: ['21-14=7']
Exploring Operation: 15-7=8, Resulting Numbers: [8, 8]
Generated Node #0,4,4: 16:[8, 8] Operation: 15-7=8
Moving to Node #0,4,4
Current State: 16:[8, 8], Operations: ['21-14=7', '15-7=8']
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
6,
6,
69,
29
] | 69 | [
"6-6=0",
"29*0=0",
"69+0=69"
] | Current State: 69:[6, 6, 69, 29], Operations: []
Exploring Operation: 6-6=0, Resulting Numbers: [69, 29, 0]
Generated Node #2: [69, 29, 0] from Operation: 6-6=0
Current State: 69:[69, 29, 0], Operations: ['6-6=0']
Exploring Operation: 29*0=0, Resulting Numbers: [69, 0]
Generated Node #3: [69, 0] from Operation: 29*0=0
Current State: 69:[69, 0], Operations: ['6-6=0', '29*0=0']
Exploring Operation: 69+0=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[6, 6, 69, 29], Operations: []
Exploring Operation: 6/6=1, Resulting Numbers: [69, 29, 1]
Generated Node #0,0: 69:[69, 29, 1] Operation: 6/6=1
Exploring Operation: 6-6=0, Resulting Numbers: [69, 29, 0]
Generated Node #0,1: 69:[69, 29, 0] Operation: 6-6=0
Exploring Operation: 29-6=23, Resulting Numbers: [6, 69, 23]
Generated Node #0,2: 69:[6, 69, 23] Operation: 29-6=23
Exploring Operation: 29-6=23, Resulting Numbers: [6, 69, 23]
Generated Node #0,3: 69:[6, 69, 23] Operation: 29-6=23
Moving to Node #0,2
Current State: 69:[6, 69, 23], Operations: ['29-6=23']
Exploring Operation: 6+23=29, Resulting Numbers: [69, 29]
Generated Node #0,2,0: 69:[69, 29] Operation: 6+23=29
Exploring Operation: 69/23=3, Resulting Numbers: [6, 3]
Generated Node #0,2,1: 69:[6, 3] Operation: 69/23=3
Exploring Operation: 6+69=75, Resulting Numbers: [23, 75]
Generated Node #0,2,2: 69:[23, 75] Operation: 6+69=75
Exploring Operation: 69-6=63, Resulting Numbers: [23, 63]
Generated Node #0,2,3: 69:[23, 63] Operation: 69-6=63
Moving to Node #0,3
Current State: 69:[6, 69, 23], Operations: ['29-6=23']
Exploring Operation: 69/23=3, Resulting Numbers: [6, 3]
Generated Node #0,3,0: 69:[6, 3] Operation: 69/23=3
Exploring Operation: 6+23=29, Resulting Numbers: [69, 29]
Generated Node #0,3,1: 69:[69, 29] Operation: 6+23=29
Exploring Operation: 6+69=75, Resulting Numbers: [23, 75]
Generated Node #0,3,2: 69:[23, 75] Operation: 6+69=75
Exploring Operation: 69-6=63, Resulting Numbers: [23, 63]
Generated Node #0,3,3: 69:[23, 63] Operation: 69-6=63
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 69:[6, 3], Operations: ['29-6=23', '69/23=3']
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,69 unequal: No Solution
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 69:[69, 29], Operations: ['29-6=23', '6+23=29']
Exploring Operation: 69*29=2001, Resulting Numbers: [2001]
2001,69 unequal: No Solution
Exploring Operation: 69-29=40, Resulting Numbers: [40]
40,69 unequal: No Solution
Exploring Operation: 69+29=98, Resulting Numbers: [98]
98,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 69:[23, 75], Operations: ['29-6=23', '6+69=75']
Exploring Operation: 23+75=98, Resulting Numbers: [98]
98,69 unequal: No Solution
Exploring Operation: 75-23=52, Resulting Numbers: [52]
52,69 unequal: No Solution
Exploring Operation: 23*75=1725, Resulting Numbers: [1725]
1725,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 69:[23, 63], Operations: ['29-6=23', '69-6=63']
Exploring Operation: 63-23=40, Resulting Numbers: [40]
40,69 unequal: No Solution
Exploring Operation: 23+63=86, Resulting Numbers: [86]
86,69 unequal: No Solution
Exploring Operation: 23*63=1449, Resulting Numbers: [1449]
1449,69 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: 69:[69, 29, 1], Operations: ['6/6=1']
Exploring Operation: 69/1=69, Resulting Numbers: [29, 69]
Generated Node #0,0,0: 69:[29, 69] Operation: 69/1=69
Exploring Operation: 29-1=28, Resulting Numbers: [69, 28]
Generated Node #0,0,1: 69:[69, 28] Operation: 29-1=28
Exploring Operation: 29*1=29, Resulting Numbers: [69, 29]
Generated Node #0,0,2: 69:[69, 29] Operation: 29*1=29
Exploring Operation: 69*1=69, Resulting Numbers: [29, 69]
Generated Node #0,0,3: 69:[29, 69] Operation: 69*1=69
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 69:[69, 28], Operations: ['6/6=1', '29-1=28']
Exploring Operation: 69-28=41, Resulting Numbers: [41]
41,69 unequal: No Solution
Exploring Operation: 69*28=1932, Resulting Numbers: [1932]
1932,69 unequal: No Solution
Exploring Operation: 69+28=97, Resulting Numbers: [97]
97,69 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:[29, 69], Operations: ['6/6=1', '69/1=69']
Exploring Operation: 29+69=98, Resulting Numbers: [98]
98,69 unequal: No Solution
Exploring Operation: 69-29=40, Resulting Numbers: [40]
40,69 unequal: No Solution
Exploring Operation: 29*69=2001, Resulting Numbers: [2001]
2001,69 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:[69, 29], Operations: ['6/6=1', '29*1=29']
Exploring Operation: 69-29=40, Resulting Numbers: [40]
40,69 unequal: No Solution
Exploring Operation: 69+29=98, Resulting Numbers: [98]
98,69 unequal: No Solution
Exploring Operation: 69*29=2001, Resulting Numbers: [2001]
2001,69 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:[29, 69], Operations: ['6/6=1', '69*1=69']
Exploring Operation: 69-29=40, Resulting Numbers: [40]
40,69 unequal: No Solution
Exploring Operation: 29+69=98, Resulting Numbers: [98]
98,69 unequal: No Solution
Exploring Operation: 29*69=2001, Resulting Numbers: [2001]
2001,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 69:[69, 29, 0], Operations: ['6-6=0']
Exploring Operation: 29+0=29, Resulting Numbers: [69, 29]
Generated Node #0,1,0: 69:[69, 29] Operation: 29+0=29
Exploring Operation: 69+0=69, Resulting Numbers: [29, 69]
Generated Node #0,1,1: 69:[29, 69] Operation: 69+0=69
Exploring Operation: 29*0=0, Resulting Numbers: [69, 0]
Generated Node #0,1,2: 69:[69, 0] Operation: 29*0=0
Exploring Operation: 69-0=69, Resulting Numbers: [29, 69]
Generated Node #0,1,3: 69:[29, 69] Operation: 69-0=69
Moving to Node #0,2,1
Current State: 69:[6, 3], Operations: ['29-6=23', '69/23=3']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,69 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,69 unequal: No Solution
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Moving to Node #0,1,2
Current State: 69:[69, 0], Operations: ['6-6=0', '29*0=0']
Exploring Operation: 69-0=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[6, 6, 69, 29], Operations: []
Exploring Operation: 6-6=0, Resulting Numbers: [69, 29, 0]
Generated Node #0,1: 69:[69, 29, 0] Operation: 6-6=0
Moving to Node #0,1
Current State: 69:[69, 29, 0], Operations: ['6-6=0']
Exploring Operation: 29*0=0, Resulting Numbers: [69, 0]
Generated Node #0,1,2: 69:[69, 0] Operation: 29*0=0
Moving to Node #0,1,2
Current State: 69:[69, 0], Operations: ['6-6=0', '29*0=0']
Exploring Operation: 69-0=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 0.953125 | hs_4 | sum_heuristic |
[
75,
13,
77,
94
] | 90 | [
"75+94=169",
"169/13=13",
"77+13=90"
] | Current State: 90:[75, 13, 77, 94], Operations: []
Exploring Operation: 75+94=169, Resulting Numbers: [13, 77, 169]
Generated Node #2: [13, 77, 169] from Operation: 75+94=169
Current State: 90:[13, 77, 169], Operations: ['75+94=169']
Exploring Operation: 169/13=13, Resulting Numbers: [77, 13]
Generated Node #3: [77, 13] from Operation: 169/13=13
Current State: 90:[77, 13], Operations: ['75+94=169', '169/13=13']
Exploring Operation: 77+13=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[75, 13, 77, 94], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [13, 94, 2]
Generated Node #0,0: 90:[13, 94, 2] Operation: 77-75=2
Moving to Node #0,0
Current State: 90:[13, 94, 2], Operations: ['77-75=2']
Exploring Operation: 13+2=15, Resulting Numbers: [94, 15]
Generated Node #0,0,0: 90:[94, 15] Operation: 13+2=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 90:[94, 15], Operations: ['77-75=2', '13+2=15']
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
10,
24,
6,
91
] | 88 | [
"24+6=30",
"30/10=3",
"91-3=88"
] | Current State: 88:[10, 24, 6, 91], Operations: []
Exploring Operation: 24+6=30, Resulting Numbers: [10, 91, 30]
Generated Node #2: [10, 91, 30] from Operation: 24+6=30
Current State: 88:[10, 91, 30], Operations: ['24+6=30']
Exploring Operation: 30/10=3, Resulting Numbers: [91, 3]
Generated Node #3: [91, 3] from Operation: 30/10=3
Current State: 88:[91, 3], Operations: ['24+6=30', '30/10=3']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[10, 24, 6, 91], Operations: []
Exploring Operation: 24-10=14, Resulting Numbers: [6, 91, 14]
Generated Node #0,0: 88:[6, 91, 14] Operation: 24-10=14
Exploring Operation: 24-6=18, Resulting Numbers: [10, 91, 18]
Generated Node #0,1: 88:[10, 91, 18] Operation: 24-6=18
Exploring Operation: 24/6=4, Resulting Numbers: [10, 91, 4]
Generated Node #0,2: 88:[10, 91, 4] Operation: 24/6=4
Exploring Operation: 10-6=4, Resulting Numbers: [24, 91, 4]
Generated Node #0,3: 88:[24, 91, 4] Operation: 10-6=4
Exploring Operation: 91-6=85, Resulting Numbers: [10, 24, 85]
Generated Node #0,4: 88:[10, 24, 85] Operation: 91-6=85
Moving to Node #0,2
Current State: 88:[10, 91, 4], Operations: ['24/6=4']
Exploring Operation: 91-4=87, Resulting Numbers: [10, 87]
Generated Node #0,2,0: 88:[10, 87] Operation: 91-4=87
Exploring Operation: 10+4=14, Resulting Numbers: [91, 14]
Generated Node #0,2,1: 88:[91, 14] Operation: 10+4=14
Exploring Operation: 91-10=81, Resulting Numbers: [4, 81]
Generated Node #0,2,2: 88:[4, 81] Operation: 91-10=81
Exploring Operation: 10*4=40, Resulting Numbers: [91, 40]
Generated Node #0,2,3: 88:[91, 40] Operation: 10*4=40
Exploring Operation: 10-4=6, Resulting Numbers: [91, 6]
Generated Node #0,2,4: 88:[91, 6] Operation: 10-4=6
Moving to Node #0,3
Current State: 88:[24, 91, 4], Operations: ['10-6=4']
Exploring Operation: 91+4=95, Resulting Numbers: [24, 95]
Generated Node #0,3,0: 88:[24, 95] Operation: 91+4=95
Exploring Operation: 24+4=28, Resulting Numbers: [91, 28]
Generated Node #0,3,1: 88:[91, 28] Operation: 24+4=28
Exploring Operation: 91-4=87, Resulting Numbers: [24, 87]
Generated Node #0,3,2: 88:[24, 87] Operation: 91-4=87
Exploring Operation: 24/4=6, Resulting Numbers: [91, 6]
Generated Node #0,3,3: 88:[91, 6] Operation: 24/4=6
Exploring Operation: 24-4=20, Resulting Numbers: [91, 20]
Generated Node #0,3,4: 88:[91, 20] Operation: 24-4=20
Moving to Node #0,4
Current State: 88:[10, 24, 85], Operations: ['91-6=85']
Exploring Operation: 10+24=34, Resulting Numbers: [85, 34]
Generated Node #0,4,0: 88:[85, 34] Operation: 10+24=34
Exploring Operation: 24-10=14, Resulting Numbers: [85, 14]
Generated Node #0,4,1: 88:[85, 14] Operation: 24-10=14
Exploring Operation: 85-10=75, Resulting Numbers: [24, 75]
Generated Node #0,4,2: 88:[24, 75] Operation: 85-10=75
Exploring Operation: 10+85=95, Resulting Numbers: [24, 95]
Generated Node #0,4,3: 88:[24, 95] Operation: 10+85=95
Exploring Operation: 85-24=61, Resulting Numbers: [10, 61]
Generated Node #0,4,4: 88:[10, 61] Operation: 85-24=61
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 88:[85, 14], Operations: ['91-6=85', '24-10=14']
Exploring Operation: 85*14=1190, Resulting Numbers: [1190]
1190,88 unequal: No Solution
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,88 unequal: No Solution
Exploring Operation: 85+14=99, Resulting Numbers: [99]
99,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 88:[24, 95], Operations: ['91-6=85', '10+85=95']
Exploring Operation: 24*95=2280, Resulting Numbers: [2280]
2280,88 unequal: No Solution
Exploring Operation: 95-24=71, Resulting Numbers: [71]
71,88 unequal: No Solution
Exploring Operation: 24+95=119, Resulting Numbers: [119]
119,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 88:[85, 34], Operations: ['91-6=85', '10+24=34']
Exploring Operation: 85*34=2890, Resulting Numbers: [2890]
2890,88 unequal: No Solution
Exploring Operation: 85+34=119, Resulting Numbers: [119]
119,88 unequal: No Solution
Exploring Operation: 85-34=51, Resulting Numbers: [51]
51,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 88:[24, 75], Operations: ['91-6=85', '85-10=75']
Exploring Operation: 75-24=51, Resulting Numbers: [51]
51,88 unequal: No Solution
Exploring Operation: 24*75=1800, Resulting Numbers: [1800]
1800,88 unequal: No Solution
Exploring Operation: 24+75=99, Resulting Numbers: [99]
99,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 88:[10, 61], Operations: ['91-6=85', '85-24=61']
Exploring Operation: 10+61=71, Resulting Numbers: [71]
71,88 unequal: No Solution
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,88 unequal: No Solution
Exploring Operation: 10*61=610, Resulting Numbers: [610]
610,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 88:[6, 91, 14], Operations: ['24-10=14']
Exploring Operation: 14-6=8, Resulting Numbers: [91, 8]
Generated Node #0,0,0: 88:[91, 8] Operation: 14-6=8
Exploring Operation: 6+14=20, Resulting Numbers: [91, 20]
Generated Node #0,0,1: 88:[91, 20] Operation: 6+14=20
Exploring Operation: 6*14=84, Resulting Numbers: [91, 84]
Generated Node #0,0,2: 88:[91, 84] Operation: 6*14=84
Exploring Operation: 91-6=85, Resulting Numbers: [14, 85]
Generated Node #0,0,3: 88:[14, 85] Operation: 91-6=85
Exploring Operation: 6+91=97, Resulting Numbers: [14, 97]
Generated Node #0,0,4: 88:[14, 97] Operation: 6+91=97
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[91, 8], Operations: ['24-10=14', '14-6=8']
Exploring Operation: 91+8=99, Resulting Numbers: [99]
99,88 unequal: No Solution
Exploring Operation: 91-8=83, Resulting Numbers: [83]
83,88 unequal: No Solution
Exploring Operation: 91*8=728, Resulting Numbers: [728]
728,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 88:[91, 20], Operations: ['24-10=14', '6+14=20']
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,88 unequal: No Solution
Exploring Operation: 91*20=1820, Resulting Numbers: [1820]
1820,88 unequal: No Solution
Exploring Operation: 91+20=111, Resulting Numbers: [111]
111,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 88:[14, 85], Operations: ['24-10=14', '91-6=85']
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,88 unequal: No Solution
Exploring Operation: 14+85=99, Resulting Numbers: [99]
99,88 unequal: No Solution
Exploring Operation: 14*85=1190, Resulting Numbers: [1190]
1190,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 88:[91, 84], Operations: ['24-10=14', '6*14=84']
Exploring Operation: 91*84=7644, Resulting Numbers: [7644]
7644,88 unequal: No Solution
Exploring Operation: 91+84=175, Resulting Numbers: [175]
175,88 unequal: No Solution
Exploring Operation: 91-84=7, Resulting Numbers: [7]
7,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 88:[14, 97], Operations: ['24-10=14', '6+91=97']
Exploring Operation: 97-14=83, Resulting Numbers: [83]
83,88 unequal: No Solution
Exploring Operation: 14+97=111, Resulting Numbers: [111]
111,88 unequal: No Solution
Exploring Operation: 14*97=1358, Resulting Numbers: [1358]
1358,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 88:[10, 91, 18], Operations: ['24-6=18']
Exploring Operation: 10+18=28, Resulting Numbers: [91, 28]
Generated Node #0,1,0: 88:[91, 28] Operation: 10+18=28
Exploring Operation: 91-10=81, Resulting Numbers: [18, 81]
Generated Node #0,1,1: 88:[18, 81] Operation: 91-10=81
Exploring Operation: 91-18=73, Resulting Numbers: [10, 73]
Generated Node #0,1,2: 88:[10, 73] Operation: 91-18=73
Exploring Operation: 10+91=101, Resulting Numbers: [18, 101]
Generated Node #0,1,3: 88:[18, 101] Operation: 10+91=101
Exploring Operation: 18-10=8, Resulting Numbers: [91, 8]
Generated Node #0,1,4: 88:[91, 8] Operation: 18-10=8
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 88:[91, 8], Operations: ['24-6=18', '18-10=8']
Exploring Operation: 91+8=99, Resulting Numbers: [99]
99,88 unequal: No Solution
Exploring Operation: 91-8=83, Resulting Numbers: [83]
83,88 unequal: No Solution
Exploring Operation: 91*8=728, Resulting Numbers: [728]
728,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 88:[91, 28], Operations: ['24-6=18', '10+18=28']
Exploring Operation: 91*28=2548, Resulting Numbers: [2548]
2548,88 unequal: No Solution
Exploring Operation: 91+28=119, Resulting Numbers: [119]
119,88 unequal: No Solution
Exploring Operation: 91-28=63, Resulting Numbers: [63]
63,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 88:[18, 81], Operations: ['24-6=18', '91-10=81']
Exploring Operation: 18+81=99, Resulting Numbers: [99]
99,88 unequal: No Solution
Exploring Operation: 81-18=63, Resulting Numbers: [63]
63,88 unequal: No Solution
Exploring Operation: 18*81=1458, Resulting Numbers: [1458]
1458,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 88:[10, 73], Operations: ['24-6=18', '91-18=73']
Exploring Operation: 10*73=730, Resulting Numbers: [730]
730,88 unequal: No Solution
Exploring Operation: 73-10=63, Resulting Numbers: [63]
63,88 unequal: No Solution
Exploring Operation: 10+73=83, Resulting Numbers: [83]
83,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 88:[18, 101], Operations: ['24-6=18', '10+91=101']
Exploring Operation: 18+101=119, Resulting Numbers: [119]
119,88 unequal: No Solution
Exploring Operation: 101-18=83, Resulting Numbers: [83]
83,88 unequal: No Solution
Exploring Operation: 18*101=1818, Resulting Numbers: [1818]
1818,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 88:[10, 87], Operations: ['24/6=4', '91-4=87']
Exploring Operation: 10+87=97, Resulting Numbers: [97]
97,88 unequal: No Solution
Exploring Operation: 87-10=77, Resulting Numbers: [77]
77,88 unequal: No Solution
Exploring Operation: 10*87=870, Resulting Numbers: [870]
870,88 unequal: No Solution
Moving to Node #0,3,2
Current State: 88:[24, 87], Operations: ['10-6=4', '91-4=87']
Exploring Operation: 24*87=2088, Resulting Numbers: [2088]
2088,88 unequal: No Solution
Exploring Operation: 24+87=111, Resulting Numbers: [111]
111,88 unequal: No Solution
Exploring Operation: 87-24=63, Resulting Numbers: [63]
63,88 unequal: No Solution
Moving to Node #0,3,3
Current State: 88:[91, 6], Operations: ['10-6=4', '24/4=6']
Exploring Operation: 91*6=546, Resulting Numbers: [546]
546,88 unequal: No Solution
Exploring Operation: 91-6=85, Resulting Numbers: [85]
85,88 unequal: No Solution
Exploring Operation: 91+6=97, Resulting Numbers: [97]
97,88 unequal: No Solution
Moving to Node #0,2,4
Current State: 88:[91, 6], Operations: ['24/6=4', '10-4=6']
Exploring Operation: 91*6=546, Resulting Numbers: [546]
546,88 unequal: No Solution
Exploring Operation: 91+6=97, Resulting Numbers: [97]
97,88 unequal: No Solution
Exploring Operation: 91-6=85, Resulting Numbers: [85]
85,88 unequal: No Solution
Moving to Node #0,3,4
Current State: 88:[91, 20], Operations: ['10-6=4', '24-4=20']
Exploring Operation: 91+20=111, Resulting Numbers: [111]
111,88 unequal: No Solution
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,88 unequal: No Solution
Exploring Operation: 91*20=1820, Resulting Numbers: [1820]
1820,88 unequal: No Solution
Moving to Node #0,2,1
Current State: 88:[91, 14], Operations: ['24/6=4', '10+4=14']
Exploring Operation: 91-14=77, Resulting Numbers: [77]
77,88 unequal: No Solution
Exploring Operation: 91*14=1274, Resulting Numbers: [1274]
1274,88 unequal: No Solution
Exploring Operation: 91+14=105, Resulting Numbers: [105]
105,88 unequal: No Solution
Moving to Node #0,2,3
Current State: 88:[91, 40], Operations: ['24/6=4', '10*4=40']
Exploring Operation: 91*40=3640, Resulting Numbers: [3640]
3640,88 unequal: No Solution
Exploring Operation: 91+40=131, Resulting Numbers: [131]
131,88 unequal: No Solution
Exploring Operation: 91-40=51, Resulting Numbers: [51]
51,88 unequal: No Solution
Moving to Node #0,2,2
Current State: 88:[4, 81], Operations: ['24/6=4', '91-10=81']
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,88 unequal: No Solution
Exploring Operation: 4*81=324, Resulting Numbers: [324]
324,88 unequal: No Solution
Exploring Operation: 4+81=85, Resulting Numbers: [85]
85,88 unequal: No Solution
Moving to Node #0,3,1
Current State: 88:[91, 28], Operations: ['10-6=4', '24+4=28']
Exploring Operation: 91+28=119, Resulting Numbers: [119]
119,88 unequal: No Solution
Exploring Operation: 91*28=2548, Resulting Numbers: [2548]
2548,88 unequal: No Solution
Exploring Operation: 91-28=63, Resulting Numbers: [63]
63,88 unequal: No Solution
Moving to Node #0,3,0
Current State: 88:[24, 95], Operations: ['10-6=4', '91+4=95']
Exploring Operation: 24*95=2280, Resulting Numbers: [2280]
2280,88 unequal: No Solution
Exploring Operation: 24+95=119, Resulting Numbers: [119]
119,88 unequal: No Solution
Exploring Operation: 95-24=71, Resulting Numbers: [71]
71,88 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
65,
20,
42,
5
] | 19 | [
"65-42=23",
"20/5=4",
"23-4=19"
] | Current State: 19:[65, 20, 42, 5], Operations: []
Exploring Operation: 65-42=23, Resulting Numbers: [20, 5, 23]
Generated Node #2: [20, 5, 23] from Operation: 65-42=23
Current State: 19:[20, 5, 23], Operations: ['65-42=23']
Exploring Operation: 20/5=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 20/5=4
Current State: 19:[23, 4], Operations: ['65-42=23', '20/5=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[65, 20, 42, 5], Operations: []
Exploring Operation: 65-42=23, Resulting Numbers: [20, 5, 23]
Generated Node #0,0: 19:[20, 5, 23] Operation: 65-42=23
Exploring Operation: 65/5=13, Resulting Numbers: [20, 42, 13]
Generated Node #0,1: 19:[20, 42, 13] Operation: 65/5=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[20, 5, 23], Operations: ['65-42=23']
Exploring Operation: 20-5=15, Resulting Numbers: [23, 15]
Generated Node #0,0,0: 19:[23, 15] Operation: 20-5=15
Exploring Operation: 23-5=18, Resulting Numbers: [20, 18]
Generated Node #0,0,1: 19:[20, 18] Operation: 23-5=18
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 19:[20, 18], Operations: ['65-42=23', '23-5=18']
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,19 unequal: No Solution
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,19 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:[23, 15], Operations: ['65-42=23', '20-5=15']
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 23+15=38, Resulting Numbers: [38]
38,19 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:[20, 42, 13], Operations: ['65/5=13']
Exploring Operation: 42-13=29, Resulting Numbers: [20, 29]
Generated Node #0,1,0: 19:[20, 29] Operation: 42-13=29
Exploring Operation: 42-20=22, Resulting Numbers: [13, 22]
Generated Node #0,1,1: 19:[13, 22] Operation: 42-20=22
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 19:[13, 22], Operations: ['65/5=13', '42-20=22']
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Exploring Operation: 13+22=35, Resulting Numbers: [35]
35,19 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:[20, 29], Operations: ['65/5=13', '42-13=29']
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,19 unequal: No Solution
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,19 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_2 | sum_heuristic |
[
45,
44,
25,
68
] | 93 | [
"45-44=1",
"25+68=93",
"1*93=93"
] | Current State: 93:[45, 44, 25, 68], Operations: []
Exploring Operation: 45-44=1, Resulting Numbers: [25, 68, 1]
Generated Node #2: [25, 68, 1] from Operation: 45-44=1
Current State: 93:[25, 68, 1], Operations: ['45-44=1']
Exploring Operation: 25+68=93, Resulting Numbers: [1, 93]
Generated Node #3: [1, 93] from Operation: 25+68=93
Current State: 93:[1, 93], Operations: ['45-44=1', '25+68=93']
Exploring Operation: 1*93=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[45, 44, 25, 68], Operations: []
Exploring Operation: 68-44=24, Resulting Numbers: [45, 25, 24]
Generated Node #0,0: 93:[45, 25, 24] Operation: 68-44=24
Exploring Operation: 68-45=23, Resulting Numbers: [44, 25, 23]
Generated Node #0,1: 93:[44, 25, 23] Operation: 68-45=23
Exploring Operation: 25+68=93, Resulting Numbers: [45, 44, 93]
Generated Node #0,2: 93:[45, 44, 93] Operation: 25+68=93
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[45, 25, 24], Operations: ['68-44=24']
Exploring Operation: 25-24=1, Resulting Numbers: [45, 1]
Generated Node #0,0,0: 93:[45, 1] Operation: 25-24=1
Exploring Operation: 45-24=21, Resulting Numbers: [25, 21]
Generated Node #0,0,1: 93:[25, 21] Operation: 45-24=21
Exploring Operation: 45-25=20, Resulting Numbers: [24, 20]
Generated Node #0,0,2: 93:[24, 20] Operation: 45-25=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 93:[45, 1], Operations: ['68-44=24', '25-24=1']
Exploring Operation: 45/1=45, Resulting Numbers: [45]
45,93 unequal: No Solution
Exploring Operation: 45*1=45, Resulting Numbers: [45]
45,93 unequal: No Solution
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 93:[25, 21], Operations: ['68-44=24', '45-24=21']
Exploring Operation: 25-21=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Exploring Operation: 25*21=525, Resulting Numbers: [525]
525,93 unequal: No Solution
Exploring Operation: 25+21=46, Resulting Numbers: [46]
46,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 93:[24, 20], Operations: ['68-44=24', '45-25=20']
Exploring Operation: 24+20=44, Resulting Numbers: [44]
44,93 unequal: No Solution
Exploring Operation: 24*20=480, Resulting Numbers: [480]
480,93 unequal: No Solution
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[44, 25, 23], Operations: ['68-45=23']
Exploring Operation: 44-25=19, Resulting Numbers: [23, 19]
Generated Node #0,1,0: 93:[23, 19] Operation: 44-25=19
Exploring Operation: 25-23=2, Resulting Numbers: [44, 2]
Generated Node #0,1,1: 93:[44, 2] Operation: 25-23=2
Exploring Operation: 44-23=21, Resulting Numbers: [25, 21]
Generated Node #0,1,2: 93:[25, 21] Operation: 44-23=21
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 93:[44, 2], Operations: ['68-45=23', '25-23=2']
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,93 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,93 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 93:[25, 21], Operations: ['68-45=23', '44-23=21']
Exploring Operation: 25+21=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Exploring Operation: 25*21=525, Resulting Numbers: [525]
525,93 unequal: No Solution
Exploring Operation: 25-21=4, Resulting Numbers: [4]
4,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 93:[23, 19], Operations: ['68-45=23', '44-25=19']
Exploring Operation: 23*19=437, Resulting Numbers: [437]
437,93 unequal: No Solution
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Exploring Operation: 23+19=42, Resulting Numbers: [42]
42,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[45, 44, 93], Operations: ['25+68=93']
Exploring Operation: 45+44=89, Resulting Numbers: [93, 89]
Generated Node #0,2,0: 93:[93, 89] Operation: 45+44=89
Exploring Operation: 93-45=48, Resulting Numbers: [44, 48]
Generated Node #0,2,1: 93:[44, 48] Operation: 93-45=48
Exploring Operation: 45-44=1, Resulting Numbers: [93, 1]
Generated Node #0,2,2: 93:[93, 1] Operation: 45-44=1
Moving to Node #0,2,2
Current State: 93:[93, 1], Operations: ['25+68=93', '45-44=1']
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[45, 44, 25, 68], Operations: []
Exploring Operation: 25+68=93, Resulting Numbers: [45, 44, 93]
Generated Node #0,2: 93:[45, 44, 93] Operation: 25+68=93
Moving to Node #0,2
Current State: 93:[45, 44, 93], Operations: ['25+68=93']
Exploring Operation: 45-44=1, Resulting Numbers: [93, 1]
Generated Node #0,2,2: 93:[93, 1] Operation: 45-44=1
Moving to Node #0,2,2
Current State: 93:[93, 1], Operations: ['25+68=93', '45-44=1']
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_3 | sum_heuristic |
[
15,
96,
48,
83
] | 50 | [
"96-15=81",
"48+83=131",
"131-81=50"
] | Current State: 50:[15, 96, 48, 83], Operations: []
Exploring Operation: 96-15=81, Resulting Numbers: [48, 83, 81]
Generated Node #2: [48, 83, 81] from Operation: 96-15=81
Current State: 50:[48, 83, 81], Operations: ['96-15=81']
Exploring Operation: 48+83=131, Resulting Numbers: [81, 131]
Generated Node #3: [81, 131] from Operation: 48+83=131
Current State: 50:[81, 131], Operations: ['96-15=81', '48+83=131']
Exploring Operation: 131-81=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[15, 96, 48, 83], Operations: []
Exploring Operation: 96-83=13, Resulting Numbers: [15, 48, 13]
Generated Node #0,0: 50:[15, 48, 13] Operation: 96-83=13
Exploring Operation: 96/48=2, Resulting Numbers: [15, 83, 2]
Generated Node #0,1: 50:[15, 83, 2] Operation: 96/48=2
Exploring Operation: 96-48=48, Resulting Numbers: [15, 83, 48]
Generated Node #0,2: 50:[15, 83, 48] Operation: 96-48=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[15, 48, 13], Operations: ['96-83=13']
Exploring Operation: 48-15=33, Resulting Numbers: [13, 33]
Generated Node #0,0,0: 50:[13, 33] Operation: 48-15=33
Exploring Operation: 15+13=28, Resulting Numbers: [48, 28]
Generated Node #0,0,1: 50:[48, 28] Operation: 15+13=28
Exploring Operation: 15-13=2, Resulting Numbers: [48, 2]
Generated Node #0,0,2: 50:[48, 2] Operation: 15-13=2
Moving to Node #0,0,2
Current State: 50:[48, 2], Operations: ['96-83=13', '15-13=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[15, 96, 48, 83], Operations: []
Exploring Operation: 96-83=13, Resulting Numbers: [15, 48, 13]
Generated Node #0,0: 50:[15, 48, 13] Operation: 96-83=13
Moving to Node #0,0
Current State: 50:[15, 48, 13], Operations: ['96-83=13']
Exploring Operation: 15-13=2, Resulting Numbers: [48, 2]
Generated Node #0,0,2: 50:[48, 2] Operation: 15-13=2
Moving to Node #0,0,2
Current State: 50:[48, 2], Operations: ['96-83=13', '15-13=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
99,
22,
92,
11
] | 81 | [
"99+22=121",
"121/11=11",
"92-11=81"
] | Current State: 81:[99, 22, 92, 11], Operations: []
Exploring Operation: 99+22=121, Resulting Numbers: [92, 11, 121]
Generated Node #2: [92, 11, 121] from Operation: 99+22=121
Current State: 81:[92, 11, 121], Operations: ['99+22=121']
Exploring Operation: 121/11=11, Resulting Numbers: [92, 11]
Generated Node #3: [92, 11] from Operation: 121/11=11
Current State: 81:[92, 11], Operations: ['99+22=121', '121/11=11']
Exploring Operation: 92-11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[99, 22, 92, 11], Operations: []
Exploring Operation: 99-92=7, Resulting Numbers: [22, 11, 7]
Generated Node #0,0: 81:[22, 11, 7] Operation: 99-92=7
Moving to Node #0,0
Current State: 81:[22, 11, 7], Operations: ['99-92=7']
Exploring Operation: 22/11=2, Resulting Numbers: [7, 2]
Generated Node #0,0,0: 81:[7, 2] Operation: 22/11=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[7, 2], Operations: ['99-92=7', '22/11=2']
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
67,
5,
27,
27
] | 71 | [
"67+5=72",
"27/27=1",
"72-1=71"
] | Current State: 71:[67, 5, 27, 27], Operations: []
Exploring Operation: 67+5=72, Resulting Numbers: [27, 27, 72]
Generated Node #2: [27, 27, 72] from Operation: 67+5=72
Current State: 71:[27, 27, 72], Operations: ['67+5=72']
Exploring Operation: 27/27=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 27/27=1
Current State: 71:[72, 1], Operations: ['67+5=72', '27/27=1']
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[67, 5, 27, 27], Operations: []
Exploring Operation: 5+27=32, Resulting Numbers: [67, 27, 32]
Generated Node #0,0: 71:[67, 27, 32] Operation: 5+27=32
Exploring Operation: 5+27=32, Resulting Numbers: [67, 27, 32]
Generated Node #0,1: 71:[67, 27, 32] Operation: 5+27=32
Exploring Operation: 27+27=54, Resulting Numbers: [67, 5, 54]
Generated Node #0,2: 71:[67, 5, 54] Operation: 27+27=54
Moving to Node #0,0
Current State: 71:[67, 27, 32], Operations: ['5+27=32']
Exploring Operation: 27+32=59, Resulting Numbers: [67, 59]
Generated Node #0,0,0: 71:[67, 59] Operation: 27+32=59
Exploring Operation: 67+27=94, Resulting Numbers: [32, 94]
Generated Node #0,0,1: 71:[32, 94] Operation: 67+27=94
Exploring Operation: 67-27=40, Resulting Numbers: [32, 40]
Generated Node #0,0,2: 71:[32, 40] Operation: 67-27=40
Moving to Node #0,1
Current State: 71:[67, 27, 32], Operations: ['5+27=32']
Exploring Operation: 27+32=59, Resulting Numbers: [67, 59]
Generated Node #0,1,0: 71:[67, 59] Operation: 27+32=59
Exploring Operation: 67+27=94, Resulting Numbers: [32, 94]
Generated Node #0,1,1: 71:[32, 94] Operation: 67+27=94
Exploring Operation: 67-27=40, Resulting Numbers: [32, 40]
Generated Node #0,1,2: 71:[32, 40] Operation: 67-27=40
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[67, 59], Operations: ['5+27=32', '27+32=59']
Exploring Operation: 67+59=126, Resulting Numbers: [126]
126,71 unequal: No Solution
Exploring Operation: 67-59=8, Resulting Numbers: [8]
8,71 unequal: No Solution
Exploring Operation: 67*59=3953, Resulting Numbers: [3953]
3953,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[32, 94], Operations: ['5+27=32', '67+27=94']
Exploring Operation: 32+94=126, Resulting Numbers: [126]
126,71 unequal: No Solution
Exploring Operation: 94-32=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Exploring Operation: 32*94=3008, Resulting Numbers: [3008]
3008,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 71:[32, 40], Operations: ['5+27=32', '67-27=40']
Exploring Operation: 32*40=1280, Resulting Numbers: [1280]
1280,71 unequal: No Solution
Exploring Operation: 32+40=72, Resulting Numbers: [72]
72,71 unequal: No Solution
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 71:[67, 5, 54], Operations: ['27+27=54']
Exploring Operation: 5+54=59, Resulting Numbers: [67, 59]
Generated Node #0,2,0: 71:[67, 59] Operation: 5+54=59
Exploring Operation: 67+5=72, Resulting Numbers: [54, 72]
Generated Node #0,2,1: 71:[54, 72] Operation: 67+5=72
Exploring Operation: 67-5=62, Resulting Numbers: [54, 62]
Generated Node #0,2,2: 71:[54, 62] Operation: 67-5=62
Moving to Node #0,0,0
Current State: 71:[67, 59], Operations: ['5+27=32', '27+32=59']
Exploring Operation: 67-59=8, Resulting Numbers: [8]
8,71 unequal: No Solution
Exploring Operation: 67+59=126, Resulting Numbers: [126]
126,71 unequal: No Solution
Exploring Operation: 67*59=3953, Resulting Numbers: [3953]
3953,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[67, 59], Operations: ['27+27=54', '5+54=59']
Exploring Operation: 67+59=126, Resulting Numbers: [126]
126,71 unequal: No Solution
Exploring Operation: 67-59=8, Resulting Numbers: [8]
8,71 unequal: No Solution
Exploring Operation: 67*59=3953, Resulting Numbers: [3953]
3953,71 unequal: No Solution
Moving to Node #0,2,1
Current State: 71:[54, 72], Operations: ['27+27=54', '67+5=72']
Exploring Operation: 72-54=18, Resulting Numbers: [18]
18,71 unequal: No Solution
Exploring Operation: 54+72=126, Resulting Numbers: [126]
126,71 unequal: No Solution
Exploring Operation: 54*72=3888, Resulting Numbers: [3888]
3888,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[54, 62], Operations: ['27+27=54', '67-5=62']
Exploring Operation: 62-54=8, Resulting Numbers: [8]
8,71 unequal: No Solution
Exploring Operation: 54*62=3348, Resulting Numbers: [3348]
3348,71 unequal: No Solution
Exploring Operation: 54+62=116, Resulting Numbers: [116]
116,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[32, 94], Operations: ['5+27=32', '67+27=94']
Exploring Operation: 32+94=126, Resulting Numbers: [126]
126,71 unequal: No Solution
Exploring Operation: 32*94=3008, Resulting Numbers: [3008]
3008,71 unequal: No Solution
Exploring Operation: 94-32=62, Resulting Numbers: [62]
62,71 unequal: No Solution
Moving to Node #0,0,2
Current State: 71:[32, 40], Operations: ['5+27=32', '67-27=40']
Exploring Operation: 32+40=72, Resulting Numbers: [72]
72,71 unequal: No Solution
Exploring Operation: 32*40=1280, Resulting Numbers: [1280]
1280,71 unequal: No Solution
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,71 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
98,
62,
32,
48
] | 43 | [
"98+62=160",
"160/32=5",
"48-5=43"
] | Current State: 43:[98, 62, 32, 48], Operations: []
Exploring Operation: 98+62=160, Resulting Numbers: [32, 48, 160]
Generated Node #2: [32, 48, 160] from Operation: 98+62=160
Current State: 43:[32, 48, 160], Operations: ['98+62=160']
Exploring Operation: 160/32=5, Resulting Numbers: [48, 5]
Generated Node #3: [48, 5] from Operation: 160/32=5
Current State: 43:[48, 5], Operations: ['98+62=160', '160/32=5']
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[98, 62, 32, 48], Operations: []
Exploring Operation: 62-32=30, Resulting Numbers: [98, 48, 30]
Generated Node #0,0: 43:[98, 48, 30] Operation: 62-32=30
Exploring Operation: 98-48=50, Resulting Numbers: [62, 32, 50]
Generated Node #0,1: 43:[62, 32, 50] Operation: 98-48=50
Exploring Operation: 62-48=14, Resulting Numbers: [98, 32, 14]
Generated Node #0,2: 43:[98, 32, 14] Operation: 62-48=14
Exploring Operation: 98-62=36, Resulting Numbers: [32, 48, 36]
Generated Node #0,3: 43:[32, 48, 36] Operation: 98-62=36
Exploring Operation: 98-32=66, Resulting Numbers: [62, 48, 66]
Generated Node #0,4: 43:[62, 48, 66] Operation: 98-32=66
Start Sub Search at level 1: Moving to Node #0,3
Current State: 43:[32, 48, 36], Operations: ['98-62=36']
Exploring Operation: 48-36=12, Resulting Numbers: [32, 12]
Generated Node #0,3,0: 43:[32, 12] Operation: 48-36=12
Exploring Operation: 36-32=4, Resulting Numbers: [48, 4]
Generated Node #0,3,1: 43:[48, 4] Operation: 36-32=4
Exploring Operation: 32+48=80, Resulting Numbers: [36, 80]
Generated Node #0,3,2: 43:[36, 80] Operation: 32+48=80
Exploring Operation: 48-32=16, Resulting Numbers: [36, 16]
Generated Node #0,3,3: 43:[36, 16] Operation: 48-32=16
Exploring Operation: 32+36=68, Resulting Numbers: [48, 68]
Generated Node #0,3,4: 43:[48, 68] Operation: 32+36=68
Moving to Node #0,3,4
Current State: 43:[48, 68], Operations: ['98-62=36', '32+36=68']
Exploring Operation: 48*68=3264, Resulting Numbers: [3264]
3264,43 unequal: No Solution
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,43 unequal: No Solution
Exploring Operation: 48+68=116, Resulting Numbers: [116]
116,43 unequal: No Solution
Moving to Node #0,3,3
Current State: 43:[36, 16], Operations: ['98-62=36', '48-32=16']
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,43 unequal: No Solution
Exploring Operation: 36*16=576, Resulting Numbers: [576]
576,43 unequal: No Solution
Exploring Operation: 36+16=52, Resulting Numbers: [52]
52,43 unequal: No Solution
Moving to Node #0,3,0
Current State: 43:[32, 12], Operations: ['98-62=36', '48-36=12']
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,43 unequal: No Solution
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,43 unequal: No Solution
Exploring Operation: 32*12=384, Resulting Numbers: [384]
384,43 unequal: No Solution
Moving to Node #0,3,1
Current State: 43:[48, 4], Operations: ['98-62=36', '36-32=4']
Exploring Operation: 48*4=192, Resulting Numbers: [192]
192,43 unequal: No Solution
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,43 unequal: No Solution
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,43 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Moving to Node #0,3,2
Current State: 43:[36, 80], Operations: ['98-62=36', '32+48=80']
Exploring Operation: 36*80=2880, Resulting Numbers: [2880]
2880,43 unequal: No Solution
Exploring Operation: 80-36=44, Resulting Numbers: [44]
44,43 unequal: No Solution
Exploring Operation: 36+80=116, Resulting Numbers: [116]
116,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[62, 32, 50], Operations: ['98-48=50']
Exploring Operation: 62-32=30, Resulting Numbers: [50, 30]
Generated Node #0,1,0: 43:[50, 30] Operation: 62-32=30
Exploring Operation: 62-50=12, Resulting Numbers: [32, 12]
Generated Node #0,1,1: 43:[32, 12] Operation: 62-50=12
Exploring Operation: 62+32=94, Resulting Numbers: [50, 94]
Generated Node #0,1,2: 43:[50, 94] Operation: 62+32=94
Exploring Operation: 32+50=82, Resulting Numbers: [62, 82]
Generated Node #0,1,3: 43:[62, 82] Operation: 32+50=82
Exploring Operation: 50-32=18, Resulting Numbers: [62, 18]
Generated Node #0,1,4: 43:[62, 18] Operation: 50-32=18
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 43:[50, 30], Operations: ['98-48=50', '62-32=30']
Exploring Operation: 50*30=1500, Resulting Numbers: [1500]
1500,43 unequal: No Solution
Exploring Operation: 50+30=80, Resulting Numbers: [80]
80,43 unequal: No Solution
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,43 unequal: No Solution
No 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: 43:[32, 12], Operations: ['98-48=50', '62-50=12']
Exploring Operation: 32*12=384, Resulting Numbers: [384]
384,43 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,43 unequal: No Solution
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,43 unequal: No Solution
No 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: 43:[62, 18], Operations: ['98-48=50', '50-32=18']
Exploring Operation: 62+18=80, Resulting Numbers: [80]
80,43 unequal: No Solution
Exploring Operation: 62-18=44, Resulting Numbers: [44]
44,43 unequal: No Solution
Exploring Operation: 62*18=1116, Resulting Numbers: [1116]
1116,43 unequal: No Solution
No 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: 43:[50, 94], Operations: ['98-48=50', '62+32=94']
Exploring Operation: 50+94=144, Resulting Numbers: [144]
144,43 unequal: No Solution
Exploring Operation: 50*94=4700, Resulting Numbers: [4700]
4700,43 unequal: No Solution
Exploring Operation: 94-50=44, Resulting Numbers: [44]
44,43 unequal: No Solution
No 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: 43:[62, 82], Operations: ['98-48=50', '32+50=82']
Exploring Operation: 62+82=144, Resulting Numbers: [144]
144,43 unequal: No Solution
Exploring Operation: 82-62=20, Resulting Numbers: [20]
20,43 unequal: No Solution
Exploring Operation: 62*82=5084, Resulting Numbers: [5084]
5084,43 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: 43:[62, 48, 66], Operations: ['98-32=66']
Exploring Operation: 62-48=14, Resulting Numbers: [66, 14]
Generated Node #0,4,0: 43:[66, 14] Operation: 62-48=14
Exploring Operation: 66-62=4, Resulting Numbers: [48, 4]
Generated Node #0,4,1: 43:[48, 4] Operation: 66-62=4
Exploring Operation: 62+48=110, Resulting Numbers: [66, 110]
Generated Node #0,4,2: 43:[66, 110] Operation: 62+48=110
Exploring Operation: 66-48=18, Resulting Numbers: [62, 18]
Generated Node #0,4,3: 43:[62, 18] Operation: 66-48=18
Exploring Operation: 62+66=128, Resulting Numbers: [48, 128]
Generated Node #0,4,4: 43:[48, 128] Operation: 62+66=128
Moving to Node #0,4,1
Current State: 43:[48, 4], Operations: ['98-32=66', '66-62=4']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,43 unequal: No Solution
Exploring Operation: 48*4=192, Resulting Numbers: [192]
192,43 unequal: No Solution
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,43 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Moving to Node #0,4,3
Current State: 43:[62, 18], Operations: ['98-32=66', '66-48=18']
Exploring Operation: 62*18=1116, Resulting Numbers: [1116]
1116,43 unequal: No Solution
Exploring Operation: 62-18=44, Resulting Numbers: [44]
44,43 unequal: No Solution
Exploring Operation: 62+18=80, Resulting Numbers: [80]
80,43 unequal: No Solution
Moving to Node #0,4,0
Current State: 43:[66, 14], Operations: ['98-32=66', '62-48=14']
Exploring Operation: 66+14=80, Resulting Numbers: [80]
80,43 unequal: No Solution
Exploring Operation: 66*14=924, Resulting Numbers: [924]
924,43 unequal: No Solution
Exploring Operation: 66-14=52, Resulting Numbers: [52]
52,43 unequal: No Solution
Moving to Node #0,4,2
Current State: 43:[66, 110], Operations: ['98-32=66', '62+48=110']
Exploring Operation: 110-66=44, Resulting Numbers: [44]
44,43 unequal: No Solution
Exploring Operation: 66*110=7260, Resulting Numbers: [7260]
7260,43 unequal: No Solution
Exploring Operation: 66+110=176, Resulting Numbers: [176]
176,43 unequal: No Solution
Moving to Node #0,4,4
Current State: 43:[48, 128], Operations: ['98-32=66', '62+66=128']
Exploring Operation: 48*128=6144, Resulting Numbers: [6144]
6144,43 unequal: No Solution
Exploring Operation: 48+128=176, Resulting Numbers: [176]
176,43 unequal: No Solution
Exploring Operation: 128-48=80, Resulting Numbers: [80]
80,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[98, 48, 30], Operations: ['62-32=30']
Exploring Operation: 98-30=68, Resulting Numbers: [48, 68]
Generated Node #0,0,0: 43:[48, 68] Operation: 98-30=68
Exploring Operation: 48-30=18, Resulting Numbers: [98, 18]
Generated Node #0,0,1: 43:[98, 18] Operation: 48-30=18
Exploring Operation: 98+30=128, Resulting Numbers: [48, 128]
Generated Node #0,0,2: 43:[48, 128] Operation: 98+30=128
Exploring Operation: 48+30=78, Resulting Numbers: [98, 78]
Generated Node #0,0,3: 43:[98, 78] Operation: 48+30=78
Exploring Operation: 98-48=50, Resulting Numbers: [30, 50]
Generated Node #0,0,4: 43:[30, 50] Operation: 98-48=50
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 43:[30, 50], Operations: ['62-32=30', '98-48=50']
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,43 unequal: No Solution
Exploring Operation: 30+50=80, Resulting Numbers: [80]
80,43 unequal: No Solution
Exploring Operation: 30*50=1500, Resulting Numbers: [1500]
1500,43 unequal: No Solution
No 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: 43:[48, 68], Operations: ['62-32=30', '98-30=68']
Exploring Operation: 48*68=3264, Resulting Numbers: [3264]
3264,43 unequal: No Solution
Exploring Operation: 48+68=116, Resulting Numbers: [116]
116,43 unequal: No Solution
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,43 unequal: No Solution
No 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: 43:[98, 18], Operations: ['62-32=30', '48-30=18']
Exploring Operation: 98*18=1764, Resulting Numbers: [1764]
1764,43 unequal: No Solution
Exploring Operation: 98+18=116, Resulting Numbers: [116]
116,43 unequal: No Solution
Exploring Operation: 98-18=80, Resulting Numbers: [80]
80,43 unequal: No Solution
No 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: 43:[48, 128], Operations: ['62-32=30', '98+30=128']
Exploring Operation: 48+128=176, Resulting Numbers: [176]
176,43 unequal: No Solution
Exploring Operation: 48*128=6144, Resulting Numbers: [6144]
6144,43 unequal: No Solution
Exploring Operation: 128-48=80, Resulting Numbers: [80]
80,43 unequal: No Solution
No 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: 43:[98, 78], Operations: ['62-32=30', '48+30=78']
Exploring Operation: 98*78=7644, Resulting Numbers: [7644]
7644,43 unequal: No Solution
Exploring Operation: 98-78=20, Resulting Numbers: [20]
20,43 unequal: No Solution
Exploring Operation: 98+78=176, Resulting Numbers: [176]
176,43 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: 43:[98, 32, 14], Operations: ['62-48=14']
Exploring Operation: 32+14=46, Resulting Numbers: [98, 46]
Generated Node #0,2,0: 43:[98, 46] Operation: 32+14=46
Exploring Operation: 98-14=84, Resulting Numbers: [32, 84]
Generated Node #0,2,1: 43:[32, 84] Operation: 98-14=84
Exploring Operation: 98-32=66, Resulting Numbers: [14, 66]
Generated Node #0,2,2: 43:[14, 66] Operation: 98-32=66
Exploring Operation: 98+14=112, Resulting Numbers: [32, 112]
Generated Node #0,2,3: 43:[32, 112] Operation: 98+14=112
Exploring Operation: 98/14=7, Resulting Numbers: [32, 7]
Generated Node #0,2,4: 43:[32, 7] Operation: 98/14=7
Moving to Node #0,2,4
Current State: 43:[32, 7], Operations: ['62-48=14', '98/14=7']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,43 unequal: No Solution
Exploring Operation: 32*7=224, Resulting Numbers: [224]
224,43 unequal: No Solution
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,43 unequal: No Solution
Moving to Node #0,2,2
Current State: 43:[14, 66], Operations: ['62-48=14', '98-32=66']
Exploring Operation: 66-14=52, Resulting Numbers: [52]
52,43 unequal: No Solution
Exploring Operation: 14+66=80, Resulting Numbers: [80]
80,43 unequal: No Solution
Exploring Operation: 14*66=924, Resulting Numbers: [924]
924,43 unequal: No Solution
Moving to Node #0,2,1
Current State: 43:[32, 84], Operations: ['62-48=14', '98-14=84']
Exploring Operation: 84-32=52, Resulting Numbers: [52]
52,43 unequal: No Solution
Exploring Operation: 32+84=116, Resulting Numbers: [116]
116,43 unequal: No Solution
Exploring Operation: 32*84=2688, Resulting Numbers: [2688]
2688,43 unequal: No Solution
Moving to Node #0,2,0
Current State: 43:[98, 46], Operations: ['62-48=14', '32+14=46']
Exploring Operation: 98*46=4508, Resulting Numbers: [4508]
4508,43 unequal: No Solution
Exploring Operation: 98+46=144, Resulting Numbers: [144]
144,43 unequal: No Solution
Exploring Operation: 98-46=52, Resulting Numbers: [52]
52,43 unequal: No Solution
Moving to Node #0,2,3
Current State: 43:[32, 112], Operations: ['62-48=14', '98+14=112']
Exploring Operation: 112-32=80, Resulting Numbers: [80]
80,43 unequal: No Solution
Exploring Operation: 32*112=3584, Resulting Numbers: [3584]
3584,43 unequal: No Solution
Exploring Operation: 32+112=144, Resulting Numbers: [144]
144,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
69,
29,
96,
27
] | 25 | [
"69+29=98",
"96+27=123",
"123-98=25"
] | Current State: 25:[69, 29, 96, 27], Operations: []
Exploring Operation: 69+29=98, Resulting Numbers: [96, 27, 98]
Generated Node #2: [96, 27, 98] from Operation: 69+29=98
Current State: 25:[96, 27, 98], Operations: ['69+29=98']
Exploring Operation: 96+27=123, Resulting Numbers: [98, 123]
Generated Node #3: [98, 123] from Operation: 96+27=123
Current State: 25:[98, 123], Operations: ['69+29=98', '96+27=123']
Exploring Operation: 123-98=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[69, 29, 96, 27], Operations: []
Exploring Operation: 96-69=27, Resulting Numbers: [29, 27, 27]
Generated Node #0,0: 25:[29, 27, 27] Operation: 96-69=27
Exploring Operation: 96-29=67, Resulting Numbers: [69, 27, 67]
Generated Node #0,1: 25:[69, 27, 67] Operation: 96-29=67
Exploring Operation: 96-27=69, Resulting Numbers: [69, 29, 69]
Generated Node #0,2: 25:[69, 29, 69] Operation: 96-27=69
Exploring Operation: 69-27=42, Resulting Numbers: [29, 96, 42]
Generated Node #0,3: 25:[29, 96, 42] Operation: 69-27=42
Exploring Operation: 69-29=40, Resulting Numbers: [96, 27, 40]
Generated Node #0,4: 25:[96, 27, 40] Operation: 69-29=40
Moving to Node #0,0
Current State: 25:[29, 27, 27], Operations: ['96-69=27']
Exploring Operation: 27-27=0, Resulting Numbers: [29, 0]
Generated Node #0,0,0: 25:[29, 0] Operation: 27-27=0
Exploring Operation: 29+27=56, Resulting Numbers: [27, 56]
Generated Node #0,0,1: 25:[27, 56] Operation: 29+27=56
Exploring Operation: 27/27=1, Resulting Numbers: [29, 1]
Generated Node #0,0,2: 25:[29, 1] Operation: 27/27=1
Exploring Operation: 29-27=2, Resulting Numbers: [27, 2]
Generated Node #0,0,3: 25:[27, 2] Operation: 29-27=2
Exploring Operation: 29-27=2, Resulting Numbers: [27, 2]
Generated Node #0,0,4: 25:[27, 2] Operation: 29-27=2
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 25:[27, 2], Operations: ['96-69=27', '29-27=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[69, 29, 96, 27], Operations: []
Exploring Operation: 96-69=27, Resulting Numbers: [29, 27, 27]
Generated Node #0,0: 25:[29, 27, 27] Operation: 96-69=27
Moving to Node #0,0
Current State: 25:[29, 27, 27], Operations: ['96-69=27']
Exploring Operation: 29-27=2, Resulting Numbers: [27, 2]
Generated Node #0,0,3: 25:[27, 2] Operation: 29-27=2
Moving to Node #0,0,3
Current State: 25:[27, 2], Operations: ['96-69=27', '29-27=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
60,
76,
91,
57
] | 45 | [
"60-57=3",
"91-76=15",
"3*15=45"
] | Current State: 45:[60, 76, 91, 57], Operations: []
Exploring Operation: 60-57=3, Resulting Numbers: [76, 91, 3]
Generated Node #2: [76, 91, 3] from Operation: 60-57=3
Current State: 45:[76, 91, 3], Operations: ['60-57=3']
Exploring Operation: 91-76=15, Resulting Numbers: [3, 15]
Generated Node #3: [3, 15] from Operation: 91-76=15
Current State: 45:[3, 15], Operations: ['60-57=3', '91-76=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[60, 76, 91, 57], Operations: []
Exploring Operation: 91-76=15, Resulting Numbers: [60, 57, 15]
Generated Node #0,0: 45:[60, 57, 15] Operation: 91-76=15
Exploring Operation: 91-60=31, Resulting Numbers: [76, 57, 31]
Generated Node #0,1: 45:[76, 57, 31] Operation: 91-60=31
Moving to Node #0,0
Current State: 45:[60, 57, 15], Operations: ['91-76=15']
Exploring Operation: 60-15=45, Resulting Numbers: [57, 45]
Generated Node #0,0,0: 45:[57, 45] Operation: 60-15=45
Exploring Operation: 60-57=3, Resulting Numbers: [15, 3]
Generated Node #0,0,1: 45:[15, 3] Operation: 60-57=3
Moving to Node #0,1
Current State: 45:[76, 57, 31], Operations: ['91-60=31']
Exploring Operation: 76-57=19, Resulting Numbers: [31, 19]
Generated Node #0,1,0: 45:[31, 19] Operation: 76-57=19
Exploring Operation: 76-31=45, Resulting Numbers: [57, 45]
Generated Node #0,1,1: 45:[57, 45] Operation: 76-31=45
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 45:[57, 45], Operations: ['91-60=31', '76-31=45']
Exploring Operation: 57+45=102, Resulting Numbers: [102]
102,45 unequal: No Solution
Exploring Operation: 57-45=12, Resulting Numbers: [12]
12,45 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 #0,1,0
Current State: 45:[31, 19], Operations: ['91-60=31', '76-57=19']
Exploring Operation: 31+19=50, Resulting Numbers: [50]
50,45 unequal: No Solution
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 45:[15, 3], Operations: ['91-76=15', '60-57=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[60, 76, 91, 57], Operations: []
Exploring Operation: 91-76=15, Resulting Numbers: [60, 57, 15]
Generated Node #0,0: 45:[60, 57, 15] Operation: 91-76=15
Moving to Node #0,0
Current State: 45:[60, 57, 15], Operations: ['91-76=15']
Exploring Operation: 60-57=3, Resulting Numbers: [15, 3]
Generated Node #0,0,1: 45:[15, 3] Operation: 60-57=3
Moving to Node #0,0,1
Current State: 45:[15, 3], Operations: ['91-76=15', '60-57=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
10,
98,
42,
27
] | 53 | [
"98*27=2646",
"2646/42=63",
"63-10=53"
] | Current State: 53:[10, 98, 42, 27], Operations: []
Exploring Operation: 98*27=2646, Resulting Numbers: [10, 42, 2646]
Generated Node #2: [10, 42, 2646] from Operation: 98*27=2646
Current State: 53:[10, 42, 2646], Operations: ['98*27=2646']
Exploring Operation: 2646/42=63, Resulting Numbers: [10, 63]
Generated Node #3: [10, 63] from Operation: 2646/42=63
Current State: 53:[10, 63], Operations: ['98*27=2646', '2646/42=63']
Exploring Operation: 63-10=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[10, 98, 42, 27], Operations: []
Exploring Operation: 10+27=37, Resulting Numbers: [98, 42, 37]
Generated Node #0,0: 53:[98, 42, 37] Operation: 10+27=37
Exploring Operation: 98-10=88, Resulting Numbers: [42, 27, 88]
Generated Node #0,1: 53:[42, 27, 88] Operation: 98-10=88
Exploring Operation: 98-42=56, Resulting Numbers: [10, 27, 56]
Generated Node #0,2: 53:[10, 27, 56] Operation: 98-42=56
Exploring Operation: 10+42=52, Resulting Numbers: [98, 27, 52]
Generated Node #0,3: 53:[98, 27, 52] Operation: 10+42=52
Moving to Node #0,0
Current State: 53:[98, 42, 37], Operations: ['10+27=37']
Exploring Operation: 98-42=56, Resulting Numbers: [37, 56]
Generated Node #0,0,0: 53:[37, 56] Operation: 98-42=56
Exploring Operation: 98-37=61, Resulting Numbers: [42, 61]
Generated Node #0,0,1: 53:[42, 61] Operation: 98-37=61
Exploring Operation: 98+37=135, Resulting Numbers: [42, 135]
Generated Node #0,0,2: 53:[42, 135] Operation: 98+37=135
Exploring Operation: 42+37=79, Resulting Numbers: [98, 79]
Generated Node #0,0,3: 53:[98, 79] Operation: 42+37=79
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[37, 56], Operations: ['10+27=37', '98-42=56']
Exploring Operation: 56-37=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Exploring Operation: 37*56=2072, Resulting Numbers: [2072]
2072,53 unequal: No Solution
Exploring Operation: 37+56=93, Resulting Numbers: [93]
93,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 53:[42, 61], Operations: ['10+27=37', '98-37=61']
Exploring Operation: 61-42=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Exploring Operation: 42*61=2562, Resulting Numbers: [2562]
2562,53 unequal: No Solution
Exploring Operation: 42+61=103, Resulting Numbers: [103]
103,53 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 #0,0,3
Current State: 53:[98, 79], Operations: ['10+27=37', '42+37=79']
Exploring Operation: 98+79=177, Resulting Numbers: [177]
177,53 unequal: No Solution
Exploring Operation: 98*79=7742, Resulting Numbers: [7742]
7742,53 unequal: No Solution
Exploring Operation: 98-79=19, Resulting Numbers: [19]
19,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 53:[42, 135], Operations: ['10+27=37', '98+37=135']
Exploring Operation: 135-42=93, Resulting Numbers: [93]
93,53 unequal: No Solution
Exploring Operation: 42+135=177, Resulting Numbers: [177]
177,53 unequal: No Solution
Exploring Operation: 42*135=5670, Resulting Numbers: [5670]
5670,53 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: 53:[10, 27, 56], Operations: ['98-42=56']
Exploring Operation: 56-10=46, Resulting Numbers: [27, 46]
Generated Node #0,2,0: 53:[27, 46] Operation: 56-10=46
Exploring Operation: 27-10=17, Resulting Numbers: [56, 17]
Generated Node #0,2,1: 53:[56, 17] Operation: 27-10=17
Exploring Operation: 10+56=66, Resulting Numbers: [27, 66]
Generated Node #0,2,2: 53:[27, 66] Operation: 10+56=66
Exploring Operation: 10+27=37, Resulting Numbers: [56, 37]
Generated Node #0,2,3: 53:[56, 37] Operation: 10+27=37
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 53:[56, 37], Operations: ['98-42=56', '10+27=37']
Exploring Operation: 56+37=93, Resulting Numbers: [93]
93,53 unequal: No Solution
Exploring Operation: 56-37=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Exploring Operation: 56*37=2072, Resulting Numbers: [2072]
2072,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 53:[27, 46], Operations: ['98-42=56', '56-10=46']
Exploring Operation: 27*46=1242, Resulting Numbers: [1242]
1242,53 unequal: No Solution
Exploring Operation: 27+46=73, Resulting Numbers: [73]
73,53 unequal: No Solution
Exploring Operation: 46-27=19, Resulting Numbers: [19]
19,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 53:[56, 17], Operations: ['98-42=56', '27-10=17']
Exploring Operation: 56+17=73, Resulting Numbers: [73]
73,53 unequal: No Solution
Exploring Operation: 56*17=952, Resulting Numbers: [952]
952,53 unequal: No Solution
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 53:[27, 66], Operations: ['98-42=56', '10+56=66']
Exploring Operation: 27*66=1782, Resulting Numbers: [1782]
1782,53 unequal: No Solution
Exploring Operation: 27+66=93, Resulting Numbers: [93]
93,53 unequal: No Solution
Exploring Operation: 66-27=39, Resulting Numbers: [39]
39,53 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:[42, 27, 88], Operations: ['98-10=88']
Exploring Operation: 42+27=69, Resulting Numbers: [88, 69]
Generated Node #0,1,0: 53:[88, 69] Operation: 42+27=69
Exploring Operation: 42-27=15, Resulting Numbers: [88, 15]
Generated Node #0,1,1: 53:[88, 15] Operation: 42-27=15
Exploring Operation: 88-42=46, Resulting Numbers: [27, 46]
Generated Node #0,1,2: 53:[27, 46] Operation: 88-42=46
Exploring Operation: 88-27=61, Resulting Numbers: [42, 61]
Generated Node #0,1,3: 53:[42, 61] Operation: 88-27=61
Moving to Node #0,3
Current State: 53:[98, 27, 52], Operations: ['10+42=52']
Exploring Operation: 98-27=71, Resulting Numbers: [52, 71]
Generated Node #0,3,0: 53:[52, 71] Operation: 98-27=71
Exploring Operation: 98+27=125, Resulting Numbers: [52, 125]
Generated Node #0,3,1: 53:[52, 125] Operation: 98+27=125
Exploring Operation: 98-52=46, Resulting Numbers: [27, 46]
Generated Node #0,3,2: 53:[27, 46] Operation: 98-52=46
Exploring Operation: 27+52=79, Resulting Numbers: [98, 79]
Generated Node #0,3,3: 53:[98, 79] Operation: 27+52=79
Moving to Node #0,1,3
Current State: 53:[42, 61], Operations: ['98-10=88', '88-27=61']
Exploring Operation: 61-42=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Exploring Operation: 42+61=103, Resulting Numbers: [103]
103,53 unequal: No Solution
Exploring Operation: 42*61=2562, Resulting Numbers: [2562]
2562,53 unequal: No Solution
Moving to Node #0,3,0
Current State: 53:[52, 71], Operations: ['10+42=52', '98-27=71']
Exploring Operation: 71-52=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Exploring Operation: 52+71=123, Resulting Numbers: [123]
123,53 unequal: No Solution
Exploring Operation: 52*71=3692, Resulting Numbers: [3692]
3692,53 unequal: No Solution
Moving to Node #0,3,2
Current State: 53:[27, 46], Operations: ['10+42=52', '98-52=46']
Exploring Operation: 27+46=73, Resulting Numbers: [73]
73,53 unequal: No Solution
Exploring Operation: 27*46=1242, Resulting Numbers: [1242]
1242,53 unequal: No Solution
Exploring Operation: 46-27=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[27, 46], Operations: ['98-10=88', '88-42=46']
Exploring Operation: 27*46=1242, Resulting Numbers: [1242]
1242,53 unequal: No Solution
Exploring Operation: 27+46=73, Resulting Numbers: [73]
73,53 unequal: No Solution
Exploring Operation: 46-27=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[88, 69], Operations: ['98-10=88', '42+27=69']
Exploring Operation: 88+69=157, Resulting Numbers: [157]
157,53 unequal: No Solution
Exploring Operation: 88*69=6072, Resulting Numbers: [6072]
6072,53 unequal: No Solution
Exploring Operation: 88-69=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Moving to Node #0,3,3
Current State: 53:[98, 79], Operations: ['10+42=52', '27+52=79']
Exploring Operation: 98+79=177, Resulting Numbers: [177]
177,53 unequal: No Solution
Exploring Operation: 98*79=7742, Resulting Numbers: [7742]
7742,53 unequal: No Solution
Exploring Operation: 98-79=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[88, 15], Operations: ['98-10=88', '42-27=15']
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,53 unequal: No Solution
Exploring Operation: 88*15=1320, Resulting Numbers: [1320]
1320,53 unequal: No Solution
Exploring Operation: 88+15=103, Resulting Numbers: [103]
103,53 unequal: No Solution
Moving to Node #0,3,1
Current State: 53:[52, 125], Operations: ['10+42=52', '98+27=125']
Exploring Operation: 125-52=73, Resulting Numbers: [73]
73,53 unequal: No Solution
Exploring Operation: 52*125=6500, Resulting Numbers: [6500]
6500,53 unequal: No Solution
Exploring Operation: 52+125=177, Resulting Numbers: [177]
177,53 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
35,
38,
19,
56
] | 63 | [
"38/19=2",
"56/2=28",
"35+28=63"
] | Current State: 63:[35, 38, 19, 56], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [35, 56, 2]
Generated Node #2: [35, 56, 2] from Operation: 38/19=2
Current State: 63:[35, 56, 2], Operations: ['38/19=2']
Exploring Operation: 56/2=28, Resulting Numbers: [35, 28]
Generated Node #3: [35, 28] from Operation: 56/2=28
Current State: 63:[35, 28], Operations: ['38/19=2', '56/2=28']
Exploring Operation: 35+28=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[35, 38, 19, 56], Operations: []
Exploring Operation: 35+38=73, Resulting Numbers: [19, 56, 73]
Generated Node #0,0: 63:[19, 56, 73] Operation: 35+38=73
Exploring Operation: 56-35=21, Resulting Numbers: [38, 19, 21]
Generated Node #0,1: 63:[38, 19, 21] Operation: 56-35=21
Exploring Operation: 38-35=3, Resulting Numbers: [19, 56, 3]
Generated Node #0,2: 63:[19, 56, 3] Operation: 38-35=3
Exploring Operation: 56-38=18, Resulting Numbers: [35, 19, 18]
Generated Node #0,3: 63:[35, 19, 18] Operation: 56-38=18
Start Sub Search at level 1: Moving to Node #0,2
Current State: 63:[19, 56, 3], Operations: ['38-35=3']
Exploring Operation: 19-3=16, Resulting Numbers: [56, 16]
Generated Node #0,2,0: 63:[56, 16] Operation: 19-3=16
Exploring Operation: 19+56=75, Resulting Numbers: [3, 75]
Generated Node #0,2,1: 63:[3, 75] Operation: 19+56=75
Exploring Operation: 19+3=22, Resulting Numbers: [56, 22]
Generated Node #0,2,2: 63:[56, 22] Operation: 19+3=22
Exploring Operation: 56+3=59, Resulting Numbers: [19, 59]
Generated Node #0,2,3: 63:[19, 59] Operation: 56+3=59
Moving to Node #0,2,3
Current State: 63:[19, 59], Operations: ['38-35=3', '56+3=59']
Exploring Operation: 19+59=78, Resulting Numbers: [78]
78,63 unequal: No Solution
Exploring Operation: 19*59=1121, Resulting Numbers: [1121]
1121,63 unequal: No Solution
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,63 unequal: No Solution
Moving to Node #0,2,2
Current State: 63:[56, 22], Operations: ['38-35=3', '19+3=22']
Exploring Operation: 56-22=34, Resulting Numbers: [34]
34,63 unequal: No Solution
Exploring Operation: 56*22=1232, Resulting Numbers: [1232]
1232,63 unequal: No Solution
Exploring Operation: 56+22=78, Resulting Numbers: [78]
78,63 unequal: No Solution
Moving to Node #0,2,1
Current State: 63:[3, 75], Operations: ['38-35=3', '19+56=75']
Exploring Operation: 3+75=78, Resulting Numbers: [78]
78,63 unequal: No Solution
Exploring Operation: 3*75=225, Resulting Numbers: [225]
225,63 unequal: No Solution
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,63 unequal: No Solution
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,63 unequal: No Solution
Moving to Node #0,2,0
Current State: 63:[56, 16], Operations: ['38-35=3', '19-3=16']
Exploring Operation: 56+16=72, Resulting Numbers: [72]
72,63 unequal: No Solution
Exploring Operation: 56-16=40, Resulting Numbers: [40]
40,63 unequal: No Solution
Exploring Operation: 56*16=896, Resulting Numbers: [896]
896,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[19, 56, 73], Operations: ['35+38=73']
Exploring Operation: 73-56=17, Resulting Numbers: [19, 17]
Generated Node #0,0,0: 63:[19, 17] Operation: 73-56=17
Exploring Operation: 73-19=54, Resulting Numbers: [56, 54]
Generated Node #0,0,1: 63:[56, 54] Operation: 73-19=54
Exploring Operation: 56-19=37, Resulting Numbers: [73, 37]
Generated Node #0,0,2: 63:[73, 37] Operation: 56-19=37
Exploring Operation: 19+56=75, Resulting Numbers: [73, 75]
Generated Node #0,0,3: 63:[73, 75] Operation: 19+56=75
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[19, 17], Operations: ['35+38=73', '73-56=17']
Exploring Operation: 19+17=36, Resulting Numbers: [36]
36,63 unequal: No Solution
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 19*17=323, Resulting Numbers: [323]
323,63 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 #0,0,1
Current State: 63:[56, 54], Operations: ['35+38=73', '73-19=54']
Exploring Operation: 56*54=3024, Resulting Numbers: [3024]
3024,63 unequal: No Solution
Exploring Operation: 56-54=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 56+54=110, Resulting Numbers: [110]
110,63 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 #0,0,3
Current State: 63:[73, 75], Operations: ['35+38=73', '19+56=75']
Exploring Operation: 73*75=5475, Resulting Numbers: [5475]
5475,63 unequal: No Solution
Exploring Operation: 75-73=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 73+75=148, Resulting Numbers: [148]
148,63 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 #0,0,2
Current State: 63:[73, 37], Operations: ['35+38=73', '56-19=37']
Exploring Operation: 73*37=2701, Resulting Numbers: [2701]
2701,63 unequal: No Solution
Exploring Operation: 73+37=110, Resulting Numbers: [110]
110,63 unequal: No Solution
Exploring Operation: 73-37=36, Resulting Numbers: [36]
36,63 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 #0,1
Current State: 63:[38, 19, 21], Operations: ['56-35=21']
Exploring Operation: 38-19=19, Resulting Numbers: [21, 19]
Generated Node #0,1,0: 63:[21, 19] Operation: 38-19=19
Exploring Operation: 38+21=59, Resulting Numbers: [19, 59]
Generated Node #0,1,1: 63:[19, 59] Operation: 38+21=59
Exploring Operation: 38+19=57, Resulting Numbers: [21, 57]
Generated Node #0,1,2: 63:[21, 57] Operation: 38+19=57
Exploring Operation: 38/19=2, Resulting Numbers: [21, 2]
Generated Node #0,1,3: 63:[21, 2] Operation: 38/19=2
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 63:[21, 2], Operations: ['56-35=21', '38/19=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,63 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,63 unequal: No Solution
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,63 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:[21, 19], Operations: ['56-35=21', '38-19=19']
Exploring Operation: 21-19=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 21*19=399, Resulting Numbers: [399]
399,63 unequal: No Solution
Exploring Operation: 21+19=40, Resulting Numbers: [40]
40,63 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 #0,1,1
Current State: 63:[19, 59], Operations: ['56-35=21', '38+21=59']
Exploring Operation: 19+59=78, Resulting Numbers: [78]
78,63 unequal: No Solution
Exploring Operation: 19*59=1121, Resulting Numbers: [1121]
1121,63 unequal: No Solution
Exploring Operation: 59-19=40, Resulting Numbers: [40]
40,63 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 #0,1,2
Current State: 63:[21, 57], Operations: ['56-35=21', '38+19=57']
Exploring Operation: 21*57=1197, Resulting Numbers: [1197]
1197,63 unequal: No Solution
Exploring Operation: 21+57=78, Resulting Numbers: [78]
78,63 unequal: No Solution
Exploring Operation: 57-21=36, Resulting Numbers: [36]
36,63 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 #0,3
Current State: 63:[35, 19, 18], Operations: ['56-38=18']
Exploring Operation: 35+19=54, Resulting Numbers: [18, 54]
Generated Node #0,3,0: 63:[18, 54] Operation: 35+19=54
Exploring Operation: 35-19=16, Resulting Numbers: [18, 16]
Generated Node #0,3,1: 63:[18, 16] Operation: 35-19=16
Exploring Operation: 35-18=17, Resulting Numbers: [19, 17]
Generated Node #0,3,2: 63:[19, 17] Operation: 35-18=17
Exploring Operation: 35+18=53, Resulting Numbers: [19, 53]
Generated Node #0,3,3: 63:[19, 53] Operation: 35+18=53
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 63:[19, 17], Operations: ['56-38=18', '35-18=17']
Exploring Operation: 19*17=323, Resulting Numbers: [323]
323,63 unequal: No Solution
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 19+17=36, Resulting Numbers: [36]
36,63 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 #0,3,1
Current State: 63:[18, 16], Operations: ['56-38=18', '35-19=16']
Exploring Operation: 18-16=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 18*16=288, Resulting Numbers: [288]
288,63 unequal: No Solution
Exploring Operation: 18+16=34, Resulting Numbers: [34]
34,63 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 #0,3,0
Current State: 63:[18, 54], Operations: ['56-38=18', '35+19=54']
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,63 unequal: No Solution
Exploring Operation: 18+54=72, Resulting Numbers: [72]
72,63 unequal: No Solution
Exploring Operation: 54/18=3, Resulting Numbers: [3]
3,63 unequal: No Solution
Exploring Operation: 18*54=972, Resulting Numbers: [972]
972,63 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 #0,3,3
Current State: 63:[19, 53], Operations: ['56-38=18', '35+18=53']
Exploring Operation: 53-19=34, Resulting Numbers: [34]
34,63 unequal: No Solution
Exploring Operation: 19*53=1007, Resulting Numbers: [1007]
1007,63 unequal: No Solution
Exploring Operation: 19+53=72, Resulting Numbers: [72]
72,63 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
No solution found.
| 0 | hs_4 | mult_heuristic |
[
87,
13,
41,
69
] | 10 | [
"87+13=100",
"41+69=110",
"110-100=10"
] | Current State: 10:[87, 13, 41, 69], Operations: []
Exploring Operation: 87+13=100, Resulting Numbers: [41, 69, 100]
Generated Node #2: [41, 69, 100] from Operation: 87+13=100
Current State: 10:[41, 69, 100], Operations: ['87+13=100']
Exploring Operation: 41+69=110, Resulting Numbers: [100, 110]
Generated Node #3: [100, 110] from Operation: 41+69=110
Current State: 10:[100, 110], Operations: ['87+13=100', '41+69=110']
Exploring Operation: 110-100=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[87, 13, 41, 69], Operations: []
Exploring Operation: 87-69=18, Resulting Numbers: [13, 41, 18]
Generated Node #0,0: 10:[13, 41, 18] Operation: 87-69=18
Exploring Operation: 87-41=46, Resulting Numbers: [13, 69, 46]
Generated Node #0,1: 10:[13, 69, 46] Operation: 87-41=46
Exploring Operation: 69-41=28, Resulting Numbers: [87, 13, 28]
Generated Node #0,2: 10:[87, 13, 28] Operation: 69-41=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[13, 41, 18], Operations: ['87-69=18']
Exploring Operation: 41-18=23, Resulting Numbers: [13, 23]
Generated Node #0,0,0: 10:[13, 23] Operation: 41-18=23
Exploring Operation: 41-13=28, Resulting Numbers: [18, 28]
Generated Node #0,0,1: 10:[18, 28] Operation: 41-13=28
Exploring Operation: 18-13=5, Resulting Numbers: [41, 5]
Generated Node #0,0,2: 10:[41, 5] Operation: 18-13=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 10:[13, 23], Operations: ['87-69=18', '41-18=23']
Exploring Operation: 13+23=36, Resulting Numbers: [36]
36,10 unequal: No Solution
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[87, 13, 41, 69], Operations: []
Exploring Operation: 87-69=18, Resulting Numbers: [13, 41, 18]
Generated Node #0,0: 10:[13, 41, 18] Operation: 87-69=18
Moving to Node #0,0
Current State: 10:[13, 41, 18], Operations: ['87-69=18']
Exploring Operation: 41-18=23, Resulting Numbers: [13, 23]
Generated Node #0,0,0: 10:[13, 23] Operation: 41-18=23
Moving to Node #0,0,0
Current State: 10:[13, 23], Operations: ['87-69=18', '41-18=23']
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
43,
69,
75,
45
] | 82 | [
"43+69=112",
"75-45=30",
"112-30=82"
] | Current State: 82:[43, 69, 75, 45], Operations: []
Exploring Operation: 43+69=112, Resulting Numbers: [75, 45, 112]
Generated Node #2: [75, 45, 112] from Operation: 43+69=112
Current State: 82:[75, 45, 112], Operations: ['43+69=112']
Exploring Operation: 75-45=30, Resulting Numbers: [112, 30]
Generated Node #3: [112, 30] from Operation: 75-45=30
Current State: 82:[112, 30], Operations: ['43+69=112', '75-45=30']
Exploring Operation: 112-30=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[43, 69, 75, 45], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [69, 75, 2]
Generated Node #0,0: 82:[69, 75, 2] Operation: 45-43=2
Exploring Operation: 75-69=6, Resulting Numbers: [43, 45, 6]
Generated Node #0,1: 82:[43, 45, 6] Operation: 75-69=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[43, 45, 6], Operations: ['75-69=6']
Exploring Operation: 45-6=39, Resulting Numbers: [43, 39]
Generated Node #0,1,0: 82:[43, 39] Operation: 45-6=39
Exploring Operation: 45-43=2, Resulting Numbers: [6, 2]
Generated Node #0,1,1: 82:[6, 2] Operation: 45-43=2
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 82:[43, 39], Operations: ['75-69=6', '45-6=39']
Exploring Operation: 43-39=4, Resulting Numbers: [4]
4,82 unequal: No Solution
Exploring Operation: 43+39=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[43, 69, 75, 45], Operations: []
Exploring Operation: 75-69=6, Resulting Numbers: [43, 45, 6]
Generated Node #0,1: 82:[43, 45, 6] Operation: 75-69=6
Moving to Node #0,1
Current State: 82:[43, 45, 6], Operations: ['75-69=6']
Exploring Operation: 45-6=39, Resulting Numbers: [43, 39]
Generated Node #0,1,0: 82:[43, 39] Operation: 45-6=39
Moving to Node #0,1,0
Current State: 82:[43, 39], Operations: ['75-69=6', '45-6=39']
Exploring Operation: 43+39=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
28,
14,
28,
70
] | 40 | [
"28/14=2",
"70-28=42",
"42-2=40"
] | Current State: 40:[28, 14, 28, 70], Operations: []
Exploring Operation: 28/14=2, Resulting Numbers: [70, 2]
Generated Node #2: [70, 2] from Operation: 28/14=2
Current State: 40:[70, 2], Operations: ['28/14=2']
Exploring Operation: 70-28=42, Resulting Numbers: [2, 42]
Generated Node #3: [2, 42] from Operation: 70-28=42
Current State: 40:[2, 42], Operations: ['28/14=2', '70-28=42']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[28, 14, 28, 70], Operations: []
Exploring Operation: 70-28=42, Resulting Numbers: [14, 28, 42]
Generated Node #0,0: 40:[14, 28, 42] Operation: 70-28=42
Exploring Operation: 70-28=42, Resulting Numbers: [28, 14, 42]
Generated Node #0,1: 40:[28, 14, 42] Operation: 70-28=42
Exploring Operation: 70/14=5, Resulting Numbers: [28, 28, 5]
Generated Node #0,2: 40:[28, 28, 5] Operation: 70/14=5
Exploring Operation: 28/28=1, Resulting Numbers: [14, 70, 1]
Generated Node #0,3: 40:[14, 70, 1] Operation: 28/28=1
Exploring Operation: 70-14=56, Resulting Numbers: [28, 28, 56]
Generated Node #0,4: 40:[28, 28, 56] Operation: 70-14=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[14, 28, 42], Operations: ['70-28=42']
Exploring Operation: 28/14=2, Resulting Numbers: [42, 2]
Generated Node #0,0,0: 40:[42, 2] Operation: 28/14=2
Exploring Operation: 14+28=42, Resulting Numbers: [42, 42]
Generated Node #0,0,1: 40:[42, 42] Operation: 14+28=42
Exploring Operation: 42/14=3, Resulting Numbers: [28, 3]
Generated Node #0,0,2: 40:[28, 3] Operation: 42/14=3
Exploring Operation: 28-14=14, Resulting Numbers: [42, 14]
Generated Node #0,0,3: 40:[42, 14] Operation: 28-14=14
Exploring Operation: 42-28=14, Resulting Numbers: [14, 14]
Generated Node #0,0,4: 40:[14, 14] Operation: 42-28=14
Moving to Node #0,0,0
Current State: 40:[42, 2], Operations: ['70-28=42', '28/14=2']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,40 unequal: No Solution
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,40 unequal: No Solution
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,40 unequal: No Solution
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[28, 14, 28, 70], Operations: []
Exploring Operation: 70-28=42, Resulting Numbers: [14, 28, 42]
Generated Node #0,0: 40:[14, 28, 42] Operation: 70-28=42
Moving to Node #0,0
Current State: 40:[14, 28, 42], Operations: ['70-28=42']
Exploring Operation: 28/14=2, Resulting Numbers: [42, 2]
Generated Node #0,0,0: 40:[42, 2] Operation: 28/14=2
Moving to Node #0,0,0
Current State: 40:[42, 2], Operations: ['70-28=42', '28/14=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
61,
3,
2,
99
] | 30 | [
"61+2=63",
"99/3=33",
"63-33=30"
] | Current State: 30:[61, 3, 2, 99], Operations: []
Exploring Operation: 61+2=63, Resulting Numbers: [3, 99, 63]
Generated Node #2: [3, 99, 63] from Operation: 61+2=63
Current State: 30:[3, 99, 63], Operations: ['61+2=63']
Exploring Operation: 99/3=33, Resulting Numbers: [63, 33]
Generated Node #3: [63, 33] from Operation: 99/3=33
Current State: 30:[63, 33], Operations: ['61+2=63', '99/3=33']
Exploring Operation: 63-33=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[61, 3, 2, 99], Operations: []
Exploring Operation: 61-3=58, Resulting Numbers: [2, 99, 58]
Generated Node #0,0: 30:[2, 99, 58] Operation: 61-3=58
Exploring Operation: 99/3=33, Resulting Numbers: [61, 2, 33]
Generated Node #0,1: 30:[61, 2, 33] Operation: 99/3=33
Exploring Operation: 99-61=38, Resulting Numbers: [3, 2, 38]
Generated Node #0,2: 30:[3, 2, 38] Operation: 99-61=38
Start Sub Search at level 1: Moving to Node #0,2
Current State: 30:[3, 2, 38], Operations: ['99-61=38']
Exploring Operation: 38/2=19, Resulting Numbers: [3, 19]
Generated Node #0,2,0: 30:[3, 19] Operation: 38/2=19
Exploring Operation: 38-3=35, Resulting Numbers: [2, 35]
Generated Node #0,2,1: 30:[2, 35] Operation: 38-3=35
Exploring Operation: 38-2=36, Resulting Numbers: [3, 36]
Generated Node #0,2,2: 30:[3, 36] Operation: 38-2=36
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 30:[3, 19], Operations: ['99-61=38', '38/2=19']
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,30 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 30:[2, 35], Operations: ['99-61=38', '38-3=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,30 unequal: No Solution
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,30 unequal: No Solution
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 30:[3, 36], Operations: ['99-61=38', '38-2=36']
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,30 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,30 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: 30:[61, 2, 33], Operations: ['99/3=33']
Exploring Operation: 61-33=28, Resulting Numbers: [2, 28]
Generated Node #0,1,0: 30:[2, 28] Operation: 61-33=28
Exploring Operation: 61-2=59, Resulting Numbers: [33, 59]
Generated Node #0,1,1: 30:[33, 59] Operation: 61-2=59
Exploring Operation: 33-2=31, Resulting Numbers: [61, 31]
Generated Node #0,1,2: 30:[61, 31] Operation: 33-2=31
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 30:[2, 28], Operations: ['99/3=33', '61-33=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[61, 3, 2, 99], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [61, 2, 33]
Generated Node #0,1: 30:[61, 2, 33] Operation: 99/3=33
Moving to Node #0,1
Current State: 30:[61, 2, 33], Operations: ['99/3=33']
Exploring Operation: 61-33=28, Resulting Numbers: [2, 28]
Generated Node #0,1,0: 30:[2, 28] Operation: 61-33=28
Moving to Node #0,1,0
Current State: 30:[2, 28], Operations: ['99/3=33', '61-33=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
73,
78,
23,
99
] | 75 | [
"73+78=151",
"99-23=76",
"151-76=75"
] | Current State: 75:[73, 78, 23, 99], Operations: []
Exploring Operation: 73+78=151, Resulting Numbers: [23, 99, 151]
Generated Node #2: [23, 99, 151] from Operation: 73+78=151
Current State: 75:[23, 99, 151], Operations: ['73+78=151']
Exploring Operation: 99-23=76, Resulting Numbers: [151, 76]
Generated Node #3: [151, 76] from Operation: 99-23=76
Current State: 75:[151, 76], Operations: ['73+78=151', '99-23=76']
Exploring Operation: 151-76=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[73, 78, 23, 99], Operations: []
Exploring Operation: 99-23=76, Resulting Numbers: [73, 78, 76]
Generated Node #0,0: 75:[73, 78, 76] Operation: 99-23=76
Exploring Operation: 99-73=26, Resulting Numbers: [78, 23, 26]
Generated Node #0,1: 75:[78, 23, 26] Operation: 99-73=26
Moving to Node #0,0
Current State: 75:[73, 78, 76], Operations: ['99-23=76']
Exploring Operation: 76-73=3, Resulting Numbers: [78, 3]
Generated Node #0,0,0: 75:[78, 3] Operation: 76-73=3
Exploring Operation: 78-73=5, Resulting Numbers: [76, 5]
Generated Node #0,0,1: 75:[76, 5] Operation: 78-73=5
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 75:[76, 5], Operations: ['99-23=76', '78-73=5']
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,75 unequal: No Solution
Exploring Operation: 76+5=81, Resulting Numbers: [81]
81,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[78, 3], Operations: ['99-23=76', '76-73=3']
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,75 unequal: No Solution
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[73, 78, 23, 99], Operations: []
Exploring Operation: 99-23=76, Resulting Numbers: [73, 78, 76]
Generated Node #0,0: 75:[73, 78, 76] Operation: 99-23=76
Moving to Node #0,0
Current State: 75:[73, 78, 76], Operations: ['99-23=76']
Exploring Operation: 76-73=3, Resulting Numbers: [78, 3]
Generated Node #0,0,0: 75:[78, 3] Operation: 76-73=3
Moving to Node #0,0,0
Current State: 75:[78, 3], Operations: ['99-23=76', '76-73=3']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | mult_heuristic |
[
8,
66,
96,
32
] | 58 | [
"96-32=64",
"64/8=8",
"66-8=58"
] | Current State: 58:[8, 66, 96, 32], Operations: []
Exploring Operation: 96-32=64, Resulting Numbers: [8, 66, 64]
Generated Node #2: [8, 66, 64] from Operation: 96-32=64
Current State: 58:[8, 66, 64], Operations: ['96-32=64']
Exploring Operation: 64/8=8, Resulting Numbers: [66, 8]
Generated Node #3: [66, 8] from Operation: 64/8=8
Current State: 58:[66, 8], Operations: ['96-32=64', '64/8=8']
Exploring Operation: 66-8=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[8, 66, 96, 32], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [8, 66, 3]
Generated Node #0,0: 58:[8, 66, 3] Operation: 96/32=3
Exploring Operation: 96-66=30, Resulting Numbers: [8, 32, 30]
Generated Node #0,1: 58:[8, 32, 30] Operation: 96-66=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[8, 32, 30], Operations: ['96-66=30']
Exploring Operation: 32-8=24, Resulting Numbers: [30, 24]
Generated Node #0,1,0: 58:[30, 24] Operation: 32-8=24
Exploring Operation: 32/8=4, Resulting Numbers: [30, 4]
Generated Node #0,1,1: 58:[30, 4] Operation: 32/8=4
Moving to Node #0,1,1
Current State: 58:[30, 4], Operations: ['96-66=30', '32/8=4']
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,58 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,58 unequal: No Solution
Moving to Node #0,1,0
Current State: 58:[30, 24], Operations: ['96-66=30', '32-8=24']
Exploring Operation: 30+24=54, Resulting Numbers: [54]
54,58 unequal: No Solution
Exploring Operation: 30-24=6, Resulting Numbers: [6]
6,58 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
Current State: 58:[8, 66, 3], Operations: ['96/32=3']
Exploring Operation: 8-3=5, Resulting Numbers: [66, 5]
Generated Node #0,0,0: 58:[66, 5] Operation: 8-3=5
Exploring Operation: 66-8=58, Resulting Numbers: [3, 58]
Generated Node #0,0,1: 58:[3, 58] Operation: 66-8=58
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 58:[3, 58], Operations: ['96/32=3', '66-8=58']
Exploring Operation: 3+58=61, Resulting Numbers: [61]
61,58 unequal: No Solution
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,58 unequal: No Solution
No 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: 58:[66, 5], Operations: ['96/32=3', '8-3=5']
Exploring Operation: 66+5=71, Resulting Numbers: [71]
71,58 unequal: No Solution
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
95,
23,
66,
46
] | 98 | [
"95+23=118",
"66-46=20",
"118-20=98"
] | Current State: 98:[95, 23, 66, 46], Operations: []
Exploring Operation: 95+23=118, Resulting Numbers: [66, 46, 118]
Generated Node #2: [66, 46, 118] from Operation: 95+23=118
Current State: 98:[66, 46, 118], Operations: ['95+23=118']
Exploring Operation: 66-46=20, Resulting Numbers: [118, 20]
Generated Node #3: [118, 20] from Operation: 66-46=20
Current State: 98:[118, 20], Operations: ['95+23=118', '66-46=20']
Exploring Operation: 118-20=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[95, 23, 66, 46], Operations: []
Exploring Operation: 23+66=89, Resulting Numbers: [95, 46, 89]
Generated Node #0,0: 98:[95, 46, 89] Operation: 23+66=89
Exploring Operation: 66-23=43, Resulting Numbers: [95, 46, 43]
Generated Node #0,1: 98:[95, 46, 43] Operation: 66-23=43
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[95, 46, 43], Operations: ['66-23=43']
Exploring Operation: 46-43=3, Resulting Numbers: [95, 3]
Generated Node #0,1,0: 98:[95, 3] Operation: 46-43=3
Exploring Operation: 95-46=49, Resulting Numbers: [43, 49]
Generated Node #0,1,1: 98:[43, 49] Operation: 95-46=49
Moving to Node #0,1,0
Current State: 98:[95, 3], Operations: ['66-23=43', '46-43=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,98 unequal: No Solution
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[95, 23, 66, 46], Operations: []
Exploring Operation: 66-23=43, Resulting Numbers: [95, 46, 43]
Generated Node #0,1: 98:[95, 46, 43] Operation: 66-23=43
Moving to Node #0,1
Current State: 98:[95, 46, 43], Operations: ['66-23=43']
Exploring Operation: 46-43=3, Resulting Numbers: [95, 3]
Generated Node #0,1,0: 98:[95, 3] Operation: 46-43=3
Moving to Node #0,1,0
Current State: 98:[95, 3], Operations: ['66-23=43', '46-43=3']
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
3,
18,
77,
24
] | 87 | [
"24/3=8",
"18+77=95",
"95-8=87"
] | Current State: 87:[3, 18, 77, 24], Operations: []
Exploring Operation: 24/3=8, Resulting Numbers: [18, 77, 8]
Generated Node #2: [18, 77, 8] from Operation: 24/3=8
Current State: 87:[18, 77, 8], Operations: ['24/3=8']
Exploring Operation: 18+77=95, Resulting Numbers: [8, 95]
Generated Node #3: [8, 95] from Operation: 18+77=95
Current State: 87:[8, 95], Operations: ['24/3=8', '18+77=95']
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[3, 18, 77, 24], Operations: []
Exploring Operation: 18/3=6, Resulting Numbers: [77, 24, 6]
Generated Node #0,0: 87:[77, 24, 6] Operation: 18/3=6
Exploring Operation: 18+77=95, Resulting Numbers: [3, 24, 95]
Generated Node #0,1: 87:[3, 24, 95] Operation: 18+77=95
Exploring Operation: 24-18=6, Resulting Numbers: [3, 77, 6]
Generated Node #0,2: 87:[3, 77, 6] Operation: 24-18=6
Exploring Operation: 3+18=21, Resulting Numbers: [77, 24, 21]
Generated Node #0,3: 87:[77, 24, 21] Operation: 3+18=21
Exploring Operation: 3+77=80, Resulting Numbers: [18, 24, 80]
Generated Node #0,4: 87:[18, 24, 80] Operation: 3+77=80
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[3, 24, 95], Operations: ['18+77=95']
Exploring Operation: 95-3=92, Resulting Numbers: [24, 92]
Generated Node #0,1,0: 87:[24, 92] Operation: 95-3=92
Exploring Operation: 24-3=21, Resulting Numbers: [95, 21]
Generated Node #0,1,1: 87:[95, 21] Operation: 24-3=21
Exploring Operation: 24/3=8, Resulting Numbers: [95, 8]
Generated Node #0,1,2: 87:[95, 8] Operation: 24/3=8
Exploring Operation: 3+24=27, Resulting Numbers: [95, 27]
Generated Node #0,1,3: 87:[95, 27] Operation: 3+24=27
Exploring Operation: 3+95=98, Resulting Numbers: [24, 98]
Generated Node #0,1,4: 87:[24, 98] Operation: 3+95=98
Moving to Node #0,1,0
Current State: 87:[24, 92], Operations: ['18+77=95', '95-3=92']
Exploring Operation: 24+92=116, Resulting Numbers: [116]
116,87 unequal: No Solution
Exploring Operation: 24*92=2208, Resulting Numbers: [2208]
2208,87 unequal: No Solution
Exploring Operation: 92-24=68, Resulting Numbers: [68]
68,87 unequal: No Solution
Moving to Node #0,1,3
Current State: 87:[95, 27], Operations: ['18+77=95', '3+24=27']
Exploring Operation: 95*27=2565, Resulting Numbers: [2565]
2565,87 unequal: No Solution
Exploring Operation: 95+27=122, Resulting Numbers: [122]
122,87 unequal: No Solution
Exploring Operation: 95-27=68, Resulting Numbers: [68]
68,87 unequal: No Solution
Moving to Node #0,1,2
Current State: 87:[95, 8], Operations: ['18+77=95', '24/3=8']
Exploring Operation: 95+8=103, Resulting Numbers: [103]
103,87 unequal: No Solution
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[3, 18, 77, 24], Operations: []
Exploring Operation: 18+77=95, Resulting Numbers: [3, 24, 95]
Generated Node #0,1: 87:[3, 24, 95] Operation: 18+77=95
Moving to Node #0,1
Current State: 87:[3, 24, 95], Operations: ['18+77=95']
Exploring Operation: 24/3=8, Resulting Numbers: [95, 8]
Generated Node #0,1,2: 87:[95, 8] Operation: 24/3=8
Moving to Node #0,1,2
Current State: 87:[95, 8], Operations: ['18+77=95', '24/3=8']
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | mult_heuristic |
[
49,
4,
20,
2
] | 93 | [
"49+4=53",
"20*2=40",
"53+40=93"
] | Current State: 93:[49, 4, 20, 2], Operations: []
Exploring Operation: 49+4=53, Resulting Numbers: [20, 2, 53]
Generated Node #2: [20, 2, 53] from Operation: 49+4=53
Current State: 93:[20, 2, 53], Operations: ['49+4=53']
Exploring Operation: 20*2=40, Resulting Numbers: [53, 40]
Generated Node #3: [53, 40] from Operation: 20*2=40
Current State: 93:[53, 40], Operations: ['49+4=53', '20*2=40']
Exploring Operation: 53+40=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[49, 4, 20, 2], Operations: []
Exploring Operation: 20/4=5, Resulting Numbers: [49, 2, 5]
Generated Node #0,0: 93:[49, 2, 5] Operation: 20/4=5
Exploring Operation: 49+20=69, Resulting Numbers: [4, 2, 69]
Generated Node #0,1: 93:[4, 2, 69] Operation: 49+20=69
Exploring Operation: 49-20=29, Resulting Numbers: [4, 2, 29]
Generated Node #0,2: 93:[4, 2, 29] Operation: 49-20=29
Exploring Operation: 49*2=98, Resulting Numbers: [4, 20, 98]
Generated Node #0,3: 93:[4, 20, 98] Operation: 49*2=98
Exploring Operation: 49-4=45, Resulting Numbers: [20, 2, 45]
Generated Node #0,4: 93:[20, 2, 45] Operation: 49-4=45
Moving to Node #0,2
Current State: 93:[4, 2, 29], Operations: ['49-20=29']
Exploring Operation: 2+29=31, Resulting Numbers: [4, 31]
Generated Node #0,2,0: 93:[4, 31] Operation: 2+29=31
Exploring Operation: 4/2=2, Resulting Numbers: [29, 2]
Generated Node #0,2,1: 93:[29, 2] Operation: 4/2=2
Exploring Operation: 4+2=6, Resulting Numbers: [29, 6]
Generated Node #0,2,2: 93:[29, 6] Operation: 4+2=6
Exploring Operation: 4+29=33, Resulting Numbers: [2, 33]
Generated Node #0,2,3: 93:[2, 33] Operation: 4+29=33
Exploring Operation: 4-2=2, Resulting Numbers: [29, 2]
Generated Node #0,2,4: 93:[29, 2] Operation: 4-2=2
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 93:[4, 31], Operations: ['49-20=29', '2+29=31']
Exploring Operation: 4+31=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,93 unequal: No Solution
Exploring Operation: 4*31=124, Resulting Numbers: [124]
124,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 93:[29, 2], Operations: ['49-20=29', '4/2=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,93 unequal: No Solution
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,93 unequal: No Solution
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 93:[2, 33], Operations: ['49-20=29', '4+29=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,93 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,93 unequal: No Solution
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 93:[29, 2], Operations: ['49-20=29', '4-2=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,93 unequal: No Solution
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,93 unequal: No Solution
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 93:[29, 6], Operations: ['49-20=29', '4+2=6']
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Exploring Operation: 29*6=174, Resulting Numbers: [174]
174,93 unequal: No Solution
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,93 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: 93:[4, 20, 98], Operations: ['49*2=98']
Exploring Operation: 4*20=80, Resulting Numbers: [98, 80]
Generated Node #0,3,0: 93:[98, 80] Operation: 4*20=80
Exploring Operation: 98-20=78, Resulting Numbers: [4, 78]
Generated Node #0,3,1: 93:[4, 78] Operation: 98-20=78
Exploring Operation: 98-4=94, Resulting Numbers: [20, 94]
Generated Node #0,3,2: 93:[20, 94] Operation: 98-4=94
Exploring Operation: 4+20=24, Resulting Numbers: [98, 24]
Generated Node #0,3,3: 93:[98, 24] Operation: 4+20=24
Exploring Operation: 20/4=5, Resulting Numbers: [98, 5]
Generated Node #0,3,4: 93:[98, 5] Operation: 20/4=5
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 93:[98, 5], Operations: ['49*2=98', '20/4=5']
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[49, 4, 20, 2], Operations: []
Exploring Operation: 49*2=98, Resulting Numbers: [4, 20, 98]
Generated Node #0,3: 93:[4, 20, 98] Operation: 49*2=98
Moving to Node #0,3
Current State: 93:[4, 20, 98], Operations: ['49*2=98']
Exploring Operation: 20/4=5, Resulting Numbers: [98, 5]
Generated Node #0,3,4: 93:[98, 5] Operation: 20/4=5
Moving to Node #0,3,4
Current State: 93:[98, 5], Operations: ['49*2=98', '20/4=5']
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_5 | sum_heuristic |
[
15,
29,
40,
20
] | 42 | [
"15+29=44",
"40/20=2",
"44-2=42"
] | Current State: 42:[15, 29, 40, 20], Operations: []
Exploring Operation: 15+29=44, Resulting Numbers: [40, 20, 44]
Generated Node #2: [40, 20, 44] from Operation: 15+29=44
Current State: 42:[40, 20, 44], Operations: ['15+29=44']
Exploring Operation: 40/20=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 40/20=2
Current State: 42:[44, 2], Operations: ['15+29=44', '40/20=2']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[15, 29, 40, 20], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [15, 29, 2]
Generated Node #0,0: 42:[15, 29, 2] Operation: 40/20=2
Exploring Operation: 15+29=44, Resulting Numbers: [40, 20, 44]
Generated Node #0,1: 42:[40, 20, 44] Operation: 15+29=44
Exploring Operation: 40-29=11, Resulting Numbers: [15, 20, 11]
Generated Node #0,2: 42:[15, 20, 11] Operation: 40-29=11
Exploring Operation: 29-15=14, Resulting Numbers: [40, 20, 14]
Generated Node #0,3: 42:[40, 20, 14] Operation: 29-15=14
Exploring Operation: 29-20=9, Resulting Numbers: [15, 40, 9]
Generated Node #0,4: 42:[15, 40, 9] Operation: 29-20=9
Moving to Node #0,3
Current State: 42:[40, 20, 14], Operations: ['29-15=14']
Exploring Operation: 20+14=34, Resulting Numbers: [40, 34]
Generated Node #0,3,0: 42:[40, 34] Operation: 20+14=34
Exploring Operation: 20-14=6, Resulting Numbers: [40, 6]
Generated Node #0,3,1: 42:[40, 6] Operation: 20-14=6
Exploring Operation: 40/20=2, Resulting Numbers: [14, 2]
Generated Node #0,3,2: 42:[14, 2] Operation: 40/20=2
Exploring Operation: 40-20=20, Resulting Numbers: [14, 20]
Generated Node #0,3,3: 42:[14, 20] Operation: 40-20=20
Exploring Operation: 40-14=26, Resulting Numbers: [20, 26]
Generated Node #0,3,4: 42:[20, 26] Operation: 40-14=26
Moving to Node #0,2
Current State: 42:[15, 20, 11], Operations: ['40-29=11']
Exploring Operation: 20-11=9, Resulting Numbers: [15, 9]
Generated Node #0,2,0: 42:[15, 9] Operation: 20-11=9
Exploring Operation: 15+20=35, Resulting Numbers: [11, 35]
Generated Node #0,2,1: 42:[11, 35] Operation: 15+20=35
Exploring Operation: 20-15=5, Resulting Numbers: [11, 5]
Generated Node #0,2,2: 42:[11, 5] Operation: 20-15=5
Exploring Operation: 15+11=26, Resulting Numbers: [20, 26]
Generated Node #0,2,3: 42:[20, 26] Operation: 15+11=26
Exploring Operation: 15-11=4, Resulting Numbers: [20, 4]
Generated Node #0,2,4: 42:[20, 4] Operation: 15-11=4
Moving to Node #0,1
Current State: 42:[40, 20, 44], Operations: ['15+29=44']
Exploring Operation: 44-20=24, Resulting Numbers: [40, 24]
Generated Node #0,1,0: 42:[40, 24] Operation: 44-20=24
Exploring Operation: 44-40=4, Resulting Numbers: [20, 4]
Generated Node #0,1,1: 42:[20, 4] Operation: 44-40=4
Exploring Operation: 40+20=60, Resulting Numbers: [44, 60]
Generated Node #0,1,2: 42:[44, 60] Operation: 40+20=60
Exploring Operation: 40-20=20, Resulting Numbers: [44, 20]
Generated Node #0,1,3: 42:[44, 20] Operation: 40-20=20
Exploring Operation: 40/20=2, Resulting Numbers: [44, 2]
Generated Node #0,1,4: 42:[44, 2] Operation: 40/20=2
Moving to Node #0,4
Current State: 42:[15, 40, 9], Operations: ['29-20=9']
Exploring Operation: 40-9=31, Resulting Numbers: [15, 31]
Generated Node #0,4,0: 42:[15, 31] Operation: 40-9=31
Exploring Operation: 40-15=25, Resulting Numbers: [9, 25]
Generated Node #0,4,1: 42:[9, 25] Operation: 40-15=25
Exploring Operation: 15+9=24, Resulting Numbers: [40, 24]
Generated Node #0,4,2: 42:[40, 24] Operation: 15+9=24
Exploring Operation: 15-9=6, Resulting Numbers: [40, 6]
Generated Node #0,4,3: 42:[40, 6] Operation: 15-9=6
Exploring Operation: 40+9=49, Resulting Numbers: [15, 49]
Generated Node #0,4,4: 42:[15, 49] Operation: 40+9=49
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 42:[40, 6], Operations: ['29-20=9', '15-9=6']
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 40+6=46, Resulting Numbers: [46]
46,42 unequal: No Solution
Exploring Operation: 40*6=240, Resulting Numbers: [240]
240,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 42:[40, 24], Operations: ['29-20=9', '15+9=24']
Exploring Operation: 40*24=960, Resulting Numbers: [960]
960,42 unequal: No Solution
Exploring Operation: 40+24=64, Resulting Numbers: [64]
64,42 unequal: No Solution
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 42:[9, 25], Operations: ['29-20=9', '40-15=25']
Exploring Operation: 9+25=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,42 unequal: No Solution
Exploring Operation: 9*25=225, Resulting Numbers: [225]
225,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 42:[15, 49], Operations: ['29-20=9', '40+9=49']
Exploring Operation: 15*49=735, Resulting Numbers: [735]
735,42 unequal: No Solution
Exploring Operation: 49-15=34, Resulting Numbers: [34]
34,42 unequal: No Solution
Exploring Operation: 15+49=64, Resulting Numbers: [64]
64,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 42:[15, 31], Operations: ['29-20=9', '40-9=31']
Exploring Operation: 15*31=465, Resulting Numbers: [465]
465,42 unequal: No Solution
Exploring Operation: 15+31=46, Resulting Numbers: [46]
46,42 unequal: No Solution
Exploring Operation: 31-15=16, Resulting Numbers: [16]
16,42 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: 42:[15, 29, 2], Operations: ['40/20=2']
Exploring Operation: 15-2=13, Resulting Numbers: [29, 13]
Generated Node #0,0,0: 42:[29, 13] Operation: 15-2=13
Exploring Operation: 15+2=17, Resulting Numbers: [29, 17]
Generated Node #0,0,1: 42:[29, 17] Operation: 15+2=17
Exploring Operation: 29-2=27, Resulting Numbers: [15, 27]
Generated Node #0,0,2: 42:[15, 27] Operation: 29-2=27
Exploring Operation: 29-15=14, Resulting Numbers: [2, 14]
Generated Node #0,0,3: 42:[2, 14] Operation: 29-15=14
Exploring Operation: 15+29=44, Resulting Numbers: [2, 44]
Generated Node #0,0,4: 42:[2, 44] Operation: 15+29=44
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 42:[2, 14], Operations: ['40/20=2', '29-15=14']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,42 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,42 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,42 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 42:[2, 44], Operations: ['40/20=2', '15+29=44']
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,42 unequal: No Solution
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,42 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[15, 29, 40, 20], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [15, 29, 2]
Generated Node #0,0: 42:[15, 29, 2] Operation: 40/20=2
Moving to Node #0,0
Current State: 42:[15, 29, 2], Operations: ['40/20=2']
Exploring Operation: 15+29=44, Resulting Numbers: [2, 44]
Generated Node #0,0,4: 42:[2, 44] Operation: 15+29=44
Moving to Node #0,0,4
Current State: 42:[2, 44], Operations: ['40/20=2', '15+29=44']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.950521 | hs_5 | sum_heuristic |
[
81,
89,
28,
63
] | 83 | [
"89-81=8",
"28+63=91",
"91-8=83"
] | Current State: 83:[81, 89, 28, 63], Operations: []
Exploring Operation: 89-81=8, Resulting Numbers: [28, 63, 8]
Generated Node #2: [28, 63, 8] from Operation: 89-81=8
Current State: 83:[28, 63, 8], Operations: ['89-81=8']
Exploring Operation: 28+63=91, Resulting Numbers: [8, 91]
Generated Node #3: [8, 91] from Operation: 28+63=91
Current State: 83:[8, 91], Operations: ['89-81=8', '28+63=91']
Exploring Operation: 91-8=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[81, 89, 28, 63], Operations: []
Exploring Operation: 28+63=91, Resulting Numbers: [81, 89, 91]
Generated Node #0,0: 83:[81, 89, 91] Operation: 28+63=91
Exploring Operation: 81-28=53, Resulting Numbers: [89, 63, 53]
Generated Node #0,1: 83:[89, 63, 53] Operation: 81-28=53
Exploring Operation: 89+28=117, Resulting Numbers: [81, 63, 117]
Generated Node #0,2: 83:[81, 63, 117] Operation: 89+28=117
Exploring Operation: 89-28=61, Resulting Numbers: [81, 63, 61]
Generated Node #0,3: 83:[81, 63, 61] Operation: 89-28=61
Exploring Operation: 81+28=109, Resulting Numbers: [89, 63, 109]
Generated Node #0,4: 83:[89, 63, 109] Operation: 81+28=109
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[81, 89, 91], Operations: ['28+63=91']
Exploring Operation: 91-89=2, Resulting Numbers: [81, 2]
Generated Node #0,0,0: 83:[81, 2] Operation: 91-89=2
Exploring Operation: 89-81=8, Resulting Numbers: [91, 8]
Generated Node #0,0,1: 83:[91, 8] Operation: 89-81=8
Exploring Operation: 91-81=10, Resulting Numbers: [89, 10]
Generated Node #0,0,2: 83:[89, 10] Operation: 91-81=10
Exploring Operation: 81+91=172, Resulting Numbers: [89, 172]
Generated Node #0,0,3: 83:[89, 172] Operation: 81+91=172
Exploring Operation: 81+89=170, Resulting Numbers: [91, 170]
Generated Node #0,0,4: 83:[91, 170] Operation: 81+89=170
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 83:[89, 10], Operations: ['28+63=91', '91-81=10']
Exploring Operation: 89+10=99, Resulting Numbers: [99]
99,83 unequal: No Solution
Exploring Operation: 89-10=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 89*10=890, Resulting Numbers: [890]
890,83 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:[81, 2], Operations: ['28+63=91', '91-89=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[81, 89, 28, 63], Operations: []
Exploring Operation: 28+63=91, Resulting Numbers: [81, 89, 91]
Generated Node #0,0: 83:[81, 89, 91] Operation: 28+63=91
Moving to Node #0,0
Current State: 83:[81, 89, 91], Operations: ['28+63=91']
Exploring Operation: 91-89=2, Resulting Numbers: [81, 2]
Generated Node #0,0,0: 83:[81, 2] Operation: 91-89=2
Moving to Node #0,0,0
Current State: 83:[81, 2], Operations: ['28+63=91', '91-89=2']
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
29,
83,
6,
33
] | 15 | [
"83-29=54",
"6+33=39",
"54-39=15"
] | Current State: 15:[29, 83, 6, 33], Operations: []
Exploring Operation: 83-29=54, Resulting Numbers: [6, 33, 54]
Generated Node #2: [6, 33, 54] from Operation: 83-29=54
Current State: 15:[6, 33, 54], Operations: ['83-29=54']
Exploring Operation: 6+33=39, Resulting Numbers: [54, 39]
Generated Node #3: [54, 39] from Operation: 6+33=39
Current State: 15:[54, 39], Operations: ['83-29=54', '6+33=39']
Exploring Operation: 54-39=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[29, 83, 6, 33], Operations: []
Exploring Operation: 83-33=50, Resulting Numbers: [29, 6, 50]
Generated Node #0,0: 15:[29, 6, 50] Operation: 83-33=50
Moving to Node #0,0
Current State: 15:[29, 6, 50], Operations: ['83-33=50']
Exploring Operation: 50-29=21, Resulting Numbers: [6, 21]
Generated Node #0,0,0: 15:[6, 21] Operation: 50-29=21
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[6, 21], Operations: ['83-33=50', '50-29=21']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[29, 83, 6, 33], Operations: []
Exploring Operation: 83-33=50, Resulting Numbers: [29, 6, 50]
Generated Node #0,0: 15:[29, 6, 50] Operation: 83-33=50
Moving to Node #0,0
Current State: 15:[29, 6, 50], Operations: ['83-33=50']
Exploring Operation: 50-29=21, Resulting Numbers: [6, 21]
Generated Node #0,0,0: 15:[6, 21] Operation: 50-29=21
Moving to Node #0,0,0
Current State: 15:[6, 21], Operations: ['83-33=50', '50-29=21']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
10,
24,
22,
57
] | 55 | [
"22-10=12",
"24/12=2",
"57-2=55"
] | Current State: 55:[10, 24, 22, 57], Operations: []
Exploring Operation: 22-10=12, Resulting Numbers: [24, 57, 12]
Generated Node #2: [24, 57, 12] from Operation: 22-10=12
Current State: 55:[24, 57, 12], Operations: ['22-10=12']
Exploring Operation: 24/12=2, Resulting Numbers: [57, 2]
Generated Node #3: [57, 2] from Operation: 24/12=2
Current State: 55:[57, 2], Operations: ['22-10=12', '24/12=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[10, 24, 22, 57], Operations: []
Exploring Operation: 24-22=2, Resulting Numbers: [10, 57, 2]
Generated Node #0,0: 55:[10, 57, 2] Operation: 24-22=2
Moving to Node #0,0
Current State: 55:[10, 57, 2], Operations: ['24-22=2']
Exploring Operation: 57-2=55, Resulting Numbers: [10, 55]
Generated Node #0,0,0: 55:[10, 55] Operation: 57-2=55
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[10, 55], Operations: ['24-22=2', '57-2=55']
Exploring Operation: 10+55=65, Resulting Numbers: [65]
65,55 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 |
[
71,
97,
18,
79
] | 70 | [
"97-18=79",
"79/79=1",
"71-1=70"
] | Current State: 70:[71, 97, 18, 79], Operations: []
Exploring Operation: 97-18=79, Resulting Numbers: [71, 79, 79]
Generated Node #2: [71, 79, 79] from Operation: 97-18=79
Current State: 70:[71, 79, 79], Operations: ['97-18=79']
Exploring Operation: 79/79=1, Resulting Numbers: [71, 1]
Generated Node #3: [71, 1] from Operation: 79/79=1
Current State: 70:[71, 1], Operations: ['97-18=79', '79/79=1']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[71, 97, 18, 79], Operations: []
Exploring Operation: 79-71=8, Resulting Numbers: [97, 18, 8]
Generated Node #0,0: 70:[97, 18, 8] Operation: 79-71=8
Exploring Operation: 97-79=18, Resulting Numbers: [71, 18, 18]
Generated Node #0,1: 70:[71, 18, 18] Operation: 97-79=18
Exploring Operation: 97-18=79, Resulting Numbers: [71, 79, 79]
Generated Node #0,2: 70:[71, 79, 79] Operation: 97-18=79
Exploring Operation: 97-71=26, Resulting Numbers: [18, 79, 26]
Generated Node #0,3: 70:[18, 79, 26] Operation: 97-71=26
Moving to Node #0,1
Current State: 70:[71, 18, 18], Operations: ['97-79=18']
Exploring Operation: 18-18=0, Resulting Numbers: [71, 0]
Generated Node #0,1,0: 70:[71, 0] Operation: 18-18=0
Exploring Operation: 71-18=53, Resulting Numbers: [18, 53]
Generated Node #0,1,1: 70:[18, 53] Operation: 71-18=53
Exploring Operation: 18/18=1, Resulting Numbers: [71, 1]
Generated Node #0,1,2: 70:[71, 1] Operation: 18/18=1
Exploring Operation: 18+18=36, Resulting Numbers: [71, 36]
Generated Node #0,1,3: 70:[71, 36] Operation: 18+18=36
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 70:[71, 1], Operations: ['97-79=18', '18/18=1']
Exploring Operation: 71/1=71, Resulting Numbers: [71]
71,70 unequal: No Solution
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[71, 97, 18, 79], Operations: []
Exploring Operation: 97-79=18, Resulting Numbers: [71, 18, 18]
Generated Node #0,1: 70:[71, 18, 18] Operation: 97-79=18
Moving to Node #0,1
Current State: 70:[71, 18, 18], Operations: ['97-79=18']
Exploring Operation: 18/18=1, Resulting Numbers: [71, 1]
Generated Node #0,1,2: 70:[71, 1] Operation: 18/18=1
Moving to Node #0,1,2
Current State: 70:[71, 1], Operations: ['97-79=18', '18/18=1']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
56,
14,
58,
95
] | 83 | [
"56+14=70",
"58+95=153",
"153-70=83"
] | Current State: 83:[56, 14, 58, 95], Operations: []
Exploring Operation: 56+14=70, Resulting Numbers: [58, 95, 70]
Generated Node #2: [58, 95, 70] from Operation: 56+14=70
Current State: 83:[58, 95, 70], Operations: ['56+14=70']
Exploring Operation: 58+95=153, Resulting Numbers: [70, 153]
Generated Node #3: [70, 153] from Operation: 58+95=153
Current State: 83:[70, 153], Operations: ['56+14=70', '58+95=153']
Exploring Operation: 153-70=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[56, 14, 58, 95], Operations: []
Exploring Operation: 14+58=72, Resulting Numbers: [56, 95, 72]
Generated Node #0,0: 83:[56, 95, 72] Operation: 14+58=72
Exploring Operation: 56+14=70, Resulting Numbers: [58, 95, 70]
Generated Node #0,1: 83:[58, 95, 70] Operation: 56+14=70
Exploring Operation: 95-14=81, Resulting Numbers: [56, 58, 81]
Generated Node #0,2: 83:[56, 58, 81] Operation: 95-14=81
Exploring Operation: 58-14=44, Resulting Numbers: [56, 95, 44]
Generated Node #0,3: 83:[56, 95, 44] Operation: 58-14=44
Exploring Operation: 56-14=42, Resulting Numbers: [58, 95, 42]
Generated Node #0,4: 83:[58, 95, 42] Operation: 56-14=42
Moving to Node #0,0
Current State: 83:[56, 95, 72], Operations: ['14+58=72']
Exploring Operation: 56+95=151, Resulting Numbers: [72, 151]
Generated Node #0,0,0: 83:[72, 151] Operation: 56+95=151
Exploring Operation: 95-72=23, Resulting Numbers: [56, 23]
Generated Node #0,0,1: 83:[56, 23] Operation: 95-72=23
Exploring Operation: 95-56=39, Resulting Numbers: [72, 39]
Generated Node #0,0,2: 83:[72, 39] Operation: 95-56=39
Exploring Operation: 72-56=16, Resulting Numbers: [95, 16]
Generated Node #0,0,3: 83:[95, 16] Operation: 72-56=16
Exploring Operation: 56+72=128, Resulting Numbers: [95, 128]
Generated Node #0,0,4: 83:[95, 128] Operation: 56+72=128
Moving to Node #0,1
Current State: 83:[58, 95, 70], Operations: ['56+14=70']
Exploring Operation: 58+95=153, Resulting Numbers: [70, 153]
Generated Node #0,1,0: 83:[70, 153] Operation: 58+95=153
Exploring Operation: 70-58=12, Resulting Numbers: [95, 12]
Generated Node #0,1,1: 83:[95, 12] Operation: 70-58=12
Exploring Operation: 95-70=25, Resulting Numbers: [58, 25]
Generated Node #0,1,2: 83:[58, 25] Operation: 95-70=25
Exploring Operation: 58+70=128, Resulting Numbers: [95, 128]
Generated Node #0,1,3: 83:[95, 128] Operation: 58+70=128
Exploring Operation: 95-58=37, Resulting Numbers: [70, 37]
Generated Node #0,1,4: 83:[70, 37] Operation: 95-58=37
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 83:[95, 128], Operations: ['56+14=70', '58+70=128']
Exploring Operation: 95+128=223, Resulting Numbers: [223]
223,83 unequal: No Solution
Exploring Operation: 95*128=12160, Resulting Numbers: [12160]
12160,83 unequal: No Solution
Exploring Operation: 128-95=33, Resulting Numbers: [33]
33,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 83:[70, 37], Operations: ['56+14=70', '95-58=37']
Exploring Operation: 70-37=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Exploring Operation: 70+37=107, Resulting Numbers: [107]
107,83 unequal: No Solution
Exploring Operation: 70*37=2590, Resulting Numbers: [2590]
2590,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[70, 153], Operations: ['56+14=70', '58+95=153']
Exploring Operation: 153-70=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[56, 14, 58, 95], Operations: []
Exploring Operation: 56+14=70, Resulting Numbers: [58, 95, 70]
Generated Node #0,1: 83:[58, 95, 70] Operation: 56+14=70
Moving to Node #0,1
Current State: 83:[58, 95, 70], Operations: ['56+14=70']
Exploring Operation: 58+95=153, Resulting Numbers: [70, 153]
Generated Node #0,1,0: 83:[70, 153] Operation: 58+95=153
Moving to Node #0,1,0
Current State: 83:[70, 153], Operations: ['56+14=70', '58+95=153']
Exploring Operation: 153-70=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | sum_heuristic |
[
46,
38,
92,
59
] | 51 | [
"46+38=84",
"92-59=33",
"84-33=51"
] | Current State: 51:[46, 38, 92, 59], Operations: []
Exploring Operation: 46+38=84, Resulting Numbers: [92, 59, 84]
Generated Node #2: [92, 59, 84] from Operation: 46+38=84
Current State: 51:[92, 59, 84], Operations: ['46+38=84']
Exploring Operation: 92-59=33, Resulting Numbers: [84, 33]
Generated Node #3: [84, 33] from Operation: 92-59=33
Current State: 51:[84, 33], Operations: ['46+38=84', '92-59=33']
Exploring Operation: 84-33=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[46, 38, 92, 59], Operations: []
Exploring Operation: 92-38=54, Resulting Numbers: [46, 59, 54]
Generated Node #0,0: 51:[46, 59, 54] Operation: 92-38=54
Moving to Node #0,0
Current State: 51:[46, 59, 54], Operations: ['92-38=54']
Exploring Operation: 59-46=13, Resulting Numbers: [54, 13]
Generated Node #0,0,0: 51:[54, 13] Operation: 59-46=13
Moving to Node #0,0,0
Current State: 51:[54, 13], Operations: ['92-38=54', '59-46=13']
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,51 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
29,
65,
99,
70
] | 65 | [
"29+65=94",
"99-70=29",
"94-29=65"
] | Current State: 65:[29, 65, 99, 70], Operations: []
Exploring Operation: 29+65=94, Resulting Numbers: [99, 70, 94]
Generated Node #2: [99, 70, 94] from Operation: 29+65=94
Current State: 65:[99, 70, 94], Operations: ['29+65=94']
Exploring Operation: 99-70=29, Resulting Numbers: [94, 29]
Generated Node #3: [94, 29] from Operation: 99-70=29
Current State: 65:[94, 29], Operations: ['29+65=94', '99-70=29']
Exploring Operation: 94-29=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[29, 65, 99, 70], Operations: []
Exploring Operation: 99-29=70, Resulting Numbers: [65, 70, 70]
Generated Node #0,0: 65:[65, 70, 70] Operation: 99-29=70
Moving to Node #0,0
Current State: 65:[65, 70, 70], Operations: ['99-29=70']
Exploring Operation: 70/70=1, Resulting Numbers: [65, 1]
Generated Node #0,0,0: 65:[65, 1] Operation: 70/70=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 65:[65, 1], Operations: ['99-29=70', '70/70=1']
Exploring Operation: 65*1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[29, 65, 99, 70], Operations: []
Exploring Operation: 99-29=70, Resulting Numbers: [65, 70, 70]
Generated Node #0,0: 65:[65, 70, 70] Operation: 99-29=70
Moving to Node #0,0
Current State: 65:[65, 70, 70], Operations: ['99-29=70']
Exploring Operation: 70/70=1, Resulting Numbers: [65, 1]
Generated Node #0,0,0: 65:[65, 1] Operation: 70/70=1
Moving to Node #0,0,0
Current State: 65:[65, 1], Operations: ['99-29=70', '70/70=1']
Exploring Operation: 65*1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
50,
22,
95,
24
] | 92 | [
"50+22=72",
"72/24=3",
"95-3=92"
] | Current State: 92:[50, 22, 95, 24], Operations: []
Exploring Operation: 50+22=72, Resulting Numbers: [95, 24, 72]
Generated Node #2: [95, 24, 72] from Operation: 50+22=72
Current State: 92:[95, 24, 72], Operations: ['50+22=72']
Exploring Operation: 72/24=3, Resulting Numbers: [95, 3]
Generated Node #3: [95, 3] from Operation: 72/24=3
Current State: 92:[95, 3], Operations: ['50+22=72', '72/24=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[50, 22, 95, 24], Operations: []
Exploring Operation: 50-24=26, Resulting Numbers: [22, 95, 26]
Generated Node #0,0: 92:[22, 95, 26] Operation: 50-24=26
Exploring Operation: 95-50=45, Resulting Numbers: [22, 24, 45]
Generated Node #0,1: 92:[22, 24, 45] Operation: 95-50=45
Moving to Node #0,1
Current State: 92:[22, 24, 45], Operations: ['95-50=45']
Exploring Operation: 22+24=46, Resulting Numbers: [45, 46]
Generated Node #0,1,0: 92:[45, 46] Operation: 22+24=46
Exploring Operation: 24-22=2, Resulting Numbers: [45, 2]
Generated Node #0,1,1: 92:[45, 2] Operation: 24-22=2
Moving to Node #0,0
Current State: 92:[22, 95, 26], Operations: ['50-24=26']
Exploring Operation: 26-22=4, Resulting Numbers: [95, 4]
Generated Node #0,0,0: 92:[95, 4] Operation: 26-22=4
Exploring Operation: 22+26=48, Resulting Numbers: [95, 48]
Generated Node #0,0,1: 92:[95, 48] Operation: 22+26=48
Moving to Node #0,1,0
Current State: 92:[45, 46], Operations: ['95-50=45', '22+24=46']
Exploring Operation: 45+46=91, Resulting Numbers: [91]
91,92 unequal: No Solution
Exploring Operation: 46-45=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[45, 2], Operations: ['95-50=45', '24-22=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[95, 4], Operations: ['50-24=26', '26-22=4']
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,92 unequal: No Solution
Exploring Operation: 95+4=99, Resulting Numbers: [99]
99,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[95, 48], Operations: ['50-24=26', '22+26=48']
Exploring Operation: 95+48=143, Resulting Numbers: [143]
143,92 unequal: No Solution
Exploring Operation: 95-48=47, Resulting Numbers: [47]
47,92 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
76,
97,
89,
10
] | 100 | [
"97-76=21",
"89-10=79",
"21+79=100"
] | Current State: 100:[76, 97, 89, 10], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [89, 10, 21]
Generated Node #2: [89, 10, 21] from Operation: 97-76=21
Current State: 100:[89, 10, 21], Operations: ['97-76=21']
Exploring Operation: 89-10=79, Resulting Numbers: [21, 79]
Generated Node #3: [21, 79] from Operation: 89-10=79
Current State: 100:[21, 79], Operations: ['97-76=21', '89-10=79']
Exploring Operation: 21+79=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[76, 97, 89, 10], Operations: []
Exploring Operation: 89-76=13, Resulting Numbers: [97, 10, 13]
Generated Node #0,0: 100:[97, 10, 13] Operation: 89-76=13
Exploring Operation: 97-76=21, Resulting Numbers: [89, 10, 21]
Generated Node #0,1: 100:[89, 10, 21] Operation: 97-76=21
Exploring Operation: 89+10=99, Resulting Numbers: [76, 97, 99]
Generated Node #0,2: 100:[76, 97, 99] Operation: 89+10=99
Exploring Operation: 97-89=8, Resulting Numbers: [76, 10, 8]
Generated Node #0,3: 100:[76, 10, 8] Operation: 97-89=8
Exploring Operation: 76+10=86, Resulting Numbers: [97, 89, 86]
Generated Node #0,4: 100:[97, 89, 86] Operation: 76+10=86
Moving to Node #0,0
Current State: 100:[97, 10, 13], Operations: ['89-76=13']
Exploring Operation: 13-10=3, Resulting Numbers: [97, 3]
Generated Node #0,0,0: 100:[97, 3] Operation: 13-10=3
Exploring Operation: 97+10=107, Resulting Numbers: [13, 107]
Generated Node #0,0,1: 100:[13, 107] Operation: 97+10=107
Exploring Operation: 10+13=23, Resulting Numbers: [97, 23]
Generated Node #0,0,2: 100:[97, 23] Operation: 10+13=23
Exploring Operation: 97+13=110, Resulting Numbers: [10, 110]
Generated Node #0,0,3: 100:[10, 110] Operation: 97+13=110
Exploring Operation: 97-10=87, Resulting Numbers: [13, 87]
Generated Node #0,0,4: 100:[13, 87] Operation: 97-10=87
Moving to Node #0,1
Current State: 100:[89, 10, 21], Operations: ['97-76=21']
Exploring Operation: 89+10=99, Resulting Numbers: [21, 99]
Generated Node #0,1,0: 100:[21, 99] Operation: 89+10=99
Exploring Operation: 10+21=31, Resulting Numbers: [89, 31]
Generated Node #0,1,1: 100:[89, 31] Operation: 10+21=31
Exploring Operation: 89-21=68, Resulting Numbers: [10, 68]
Generated Node #0,1,2: 100:[10, 68] Operation: 89-21=68
Exploring Operation: 21-10=11, Resulting Numbers: [89, 11]
Generated Node #0,1,3: 100:[89, 11] Operation: 21-10=11
Exploring Operation: 89+21=110, Resulting Numbers: [10, 110]
Generated Node #0,1,4: 100:[10, 110] Operation: 89+21=110
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[21, 99], Operations: ['97-76=21', '89+10=99']
Exploring Operation: 21+99=120, Resulting Numbers: [120]
120,100 unequal: No Solution
Exploring Operation: 21*99=2079, Resulting Numbers: [2079]
2079,100 unequal: No Solution
Exploring Operation: 99-21=78, Resulting Numbers: [78]
78,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 100:[10, 110], Operations: ['97-76=21', '89+21=110']
Exploring Operation: 10*110=1100, Resulting Numbers: [1100]
1100,100 unequal: No Solution
Exploring Operation: 110/10=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 110-10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[76, 97, 89, 10], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [89, 10, 21]
Generated Node #0,1: 100:[89, 10, 21] Operation: 97-76=21
Moving to Node #0,1
Current State: 100:[89, 10, 21], Operations: ['97-76=21']
Exploring Operation: 89+21=110, Resulting Numbers: [10, 110]
Generated Node #0,1,4: 100:[10, 110] Operation: 89+21=110
Moving to Node #0,1,4
Current State: 100:[10, 110], Operations: ['97-76=21', '89+21=110']
Exploring Operation: 110-10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | sum_heuristic |
[
23,
49,
65,
28
] | 67 | [
"49-23=26",
"65+28=93",
"93-26=67"
] | Current State: 67:[23, 49, 65, 28], Operations: []
Exploring Operation: 49-23=26, Resulting Numbers: [65, 28, 26]
Generated Node #2: [65, 28, 26] from Operation: 49-23=26
Current State: 67:[65, 28, 26], Operations: ['49-23=26']
Exploring Operation: 65+28=93, Resulting Numbers: [26, 93]
Generated Node #3: [26, 93] from Operation: 65+28=93
Current State: 67:[26, 93], Operations: ['49-23=26', '65+28=93']
Exploring Operation: 93-26=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[23, 49, 65, 28], Operations: []
Exploring Operation: 23+49=72, Resulting Numbers: [65, 28, 72]
Generated Node #0,0: 67:[65, 28, 72] Operation: 23+49=72
Exploring Operation: 23+28=51, Resulting Numbers: [49, 65, 51]
Generated Node #0,1: 67:[49, 65, 51] Operation: 23+28=51
Exploring Operation: 23+65=88, Resulting Numbers: [49, 28, 88]
Generated Node #0,2: 67:[49, 28, 88] Operation: 23+65=88
Exploring Operation: 49+28=77, Resulting Numbers: [23, 65, 77]
Generated Node #0,3: 67:[23, 65, 77] Operation: 49+28=77
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[49, 65, 51], Operations: ['23+28=51']
Exploring Operation: 49+51=100, Resulting Numbers: [65, 100]
Generated Node #0,1,0: 67:[65, 100] Operation: 49+51=100
Exploring Operation: 51-49=2, Resulting Numbers: [65, 2]
Generated Node #0,1,1: 67:[65, 2] Operation: 51-49=2
Exploring Operation: 65-49=16, Resulting Numbers: [51, 16]
Generated Node #0,1,2: 67:[51, 16] Operation: 65-49=16
Exploring Operation: 49+65=114, Resulting Numbers: [51, 114]
Generated Node #0,1,3: 67:[51, 114] Operation: 49+65=114
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[65, 100], Operations: ['23+28=51', '49+51=100']
Exploring Operation: 65+100=165, Resulting Numbers: [165]
165,67 unequal: No Solution
Exploring Operation: 100-65=35, Resulting Numbers: [35]
35,67 unequal: No Solution
Exploring Operation: 65*100=6500, Resulting Numbers: [6500]
6500,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 67:[51, 114], Operations: ['23+28=51', '49+65=114']
Exploring Operation: 114-51=63, Resulting Numbers: [63]
63,67 unequal: No Solution
Exploring Operation: 51*114=5814, Resulting Numbers: [5814]
5814,67 unequal: No Solution
Exploring Operation: 51+114=165, Resulting Numbers: [165]
165,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[65, 2], Operations: ['23+28=51', '51-49=2']
Exploring Operation: 65*2=130, Resulting Numbers: [130]
130,67 unequal: No Solution
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,67 unequal: No Solution
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[23, 49, 65, 28], Operations: []
Exploring Operation: 23+28=51, Resulting Numbers: [49, 65, 51]
Generated Node #0,1: 67:[49, 65, 51] Operation: 23+28=51
Moving to Node #0,1
Current State: 67:[49, 65, 51], Operations: ['23+28=51']
Exploring Operation: 51-49=2, Resulting Numbers: [65, 2]
Generated Node #0,1,1: 67:[65, 2] Operation: 51-49=2
Moving to Node #0,1,1
Current State: 67:[65, 2], Operations: ['23+28=51', '51-49=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
32,
14,
81,
14
] | 77 | [
"32-14=18",
"81+14=95",
"95-18=77"
] | Current State: 77:[32, 14, 81, 14], Operations: []
Exploring Operation: 32-14=18, Resulting Numbers: [81, 18]
Generated Node #2: [81, 18] from Operation: 32-14=18
Current State: 77:[81, 18], Operations: ['32-14=18']
Exploring Operation: 81+14=95, Resulting Numbers: [18, 95]
Generated Node #3: [18, 95] from Operation: 81+14=95
Current State: 77:[18, 95], Operations: ['32-14=18', '81+14=95']
Exploring Operation: 95-18=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[32, 14, 81, 14], Operations: []
Exploring Operation: 14/14=1, Resulting Numbers: [32, 81, 1]
Generated Node #0,0: 77:[32, 81, 1] Operation: 14/14=1
Exploring Operation: 32-14=18, Resulting Numbers: [81, 14, 18]
Generated Node #0,1: 77:[81, 14, 18] Operation: 32-14=18
Exploring Operation: 32-14=18, Resulting Numbers: [14, 81, 18]
Generated Node #0,2: 77:[14, 81, 18] Operation: 32-14=18
Moving to Node #0,1
Current State: 77:[81, 14, 18], Operations: ['32-14=18']
Exploring Operation: 18-14=4, Resulting Numbers: [81, 4]
Generated Node #0,1,0: 77:[81, 4] Operation: 18-14=4
Exploring Operation: 81-18=63, Resulting Numbers: [14, 63]
Generated Node #0,1,1: 77:[14, 63] Operation: 81-18=63
Exploring Operation: 81-14=67, Resulting Numbers: [18, 67]
Generated Node #0,1,2: 77:[18, 67] Operation: 81-14=67
Moving to Node #0,2
Current State: 77:[14, 81, 18], Operations: ['32-14=18']
Exploring Operation: 81-14=67, Resulting Numbers: [18, 67]
Generated Node #0,2,0: 77:[18, 67] Operation: 81-14=67
Exploring Operation: 18-14=4, Resulting Numbers: [81, 4]
Generated Node #0,2,1: 77:[81, 4] Operation: 18-14=4
Exploring Operation: 81-18=63, Resulting Numbers: [14, 63]
Generated Node #0,2,2: 77:[14, 63] Operation: 81-18=63
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 77:[81, 4], Operations: ['32-14=18', '18-14=4']
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[32, 14, 81, 14], Operations: []
Exploring Operation: 32-14=18, Resulting Numbers: [14, 81, 18]
Generated Node #0,2: 77:[14, 81, 18] Operation: 32-14=18
Moving to Node #0,2
Current State: 77:[14, 81, 18], Operations: ['32-14=18']
Exploring Operation: 18-14=4, Resulting Numbers: [81, 4]
Generated Node #0,2,1: 77:[81, 4] Operation: 18-14=4
Moving to Node #0,2,1
Current State: 77:[81, 4], Operations: ['32-14=18', '18-14=4']
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
82,
72,
60,
73
] | 68 | [
"82-73=9",
"72/9=8",
"60+8=68"
] | Current State: 68:[82, 72, 60, 73], Operations: []
Exploring Operation: 82-73=9, Resulting Numbers: [72, 60, 9]
Generated Node #2: [72, 60, 9] from Operation: 82-73=9
Current State: 68:[72, 60, 9], Operations: ['82-73=9']
Exploring Operation: 72/9=8, Resulting Numbers: [60, 8]
Generated Node #3: [60, 8] from Operation: 72/9=8
Current State: 68:[60, 8], Operations: ['82-73=9', '72/9=8']
Exploring Operation: 60+8=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[82, 72, 60, 73], Operations: []
Exploring Operation: 82-73=9, Resulting Numbers: [72, 60, 9]
Generated Node #0,0: 68:[72, 60, 9] Operation: 82-73=9
Exploring Operation: 82-60=22, Resulting Numbers: [72, 73, 22]
Generated Node #0,1: 68:[72, 73, 22] Operation: 82-60=22
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[72, 73, 22], Operations: ['82-60=22']
Exploring Operation: 72-22=50, Resulting Numbers: [73, 50]
Generated Node #0,1,0: 68:[73, 50] Operation: 72-22=50
Exploring Operation: 73-72=1, Resulting Numbers: [22, 1]
Generated Node #0,1,1: 68:[22, 1] Operation: 73-72=1
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 68:[22, 1], Operations: ['82-60=22', '73-72=1']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,68 unequal: No Solution
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 68:[73, 50], Operations: ['82-60=22', '72-22=50']
Exploring Operation: 73+50=123, Resulting Numbers: [123]
123,68 unequal: No Solution
Exploring Operation: 73-50=23, Resulting Numbers: [23]
23,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[72, 60, 9], Operations: ['82-73=9']
Exploring Operation: 72-60=12, Resulting Numbers: [9, 12]
Generated Node #0,0,0: 68:[9, 12] Operation: 72-60=12
Exploring Operation: 60+9=69, Resulting Numbers: [72, 69]
Generated Node #0,0,1: 68:[72, 69] Operation: 60+9=69
Moving to Node #0,0,1
Current State: 68:[72, 69], Operations: ['82-73=9', '60+9=69']
Exploring Operation: 72+69=141, Resulting Numbers: [141]
141,68 unequal: No Solution
Exploring Operation: 72-69=3, Resulting Numbers: [3]
3,68 unequal: No Solution
Moving to Node #0,0,0
Current State: 68:[9, 12], Operations: ['82-73=9', '72-60=12']
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,68 unequal: No Solution
Exploring Operation: 9+12=21, Resulting Numbers: [21]
21,68 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,
16,
3,
74
] | 43 | [
"12+16=28",
"74-3=71",
"71-28=43"
] | Current State: 43:[12, 16, 3, 74], Operations: []
Exploring Operation: 12+16=28, Resulting Numbers: [3, 74, 28]
Generated Node #2: [3, 74, 28] from Operation: 12+16=28
Current State: 43:[3, 74, 28], Operations: ['12+16=28']
Exploring Operation: 74-3=71, Resulting Numbers: [28, 71]
Generated Node #3: [28, 71] from Operation: 74-3=71
Current State: 43:[28, 71], Operations: ['12+16=28', '74-3=71']
Exploring Operation: 71-28=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[12, 16, 3, 74], Operations: []
Exploring Operation: 12+16=28, Resulting Numbers: [3, 74, 28]
Generated Node #0,0: 43:[3, 74, 28] Operation: 12+16=28
Exploring Operation: 12*3=36, Resulting Numbers: [16, 74, 36]
Generated Node #0,1: 43:[16, 74, 36] Operation: 12*3=36
Exploring Operation: 16*3=48, Resulting Numbers: [12, 74, 48]
Generated Node #0,2: 43:[12, 74, 48] Operation: 16*3=48
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[16, 74, 36], Operations: ['12*3=36']
Exploring Operation: 74-16=58, Resulting Numbers: [36, 58]
Generated Node #0,1,0: 43:[36, 58] Operation: 74-16=58
Exploring Operation: 16+36=52, Resulting Numbers: [74, 52]
Generated Node #0,1,1: 43:[74, 52] Operation: 16+36=52
Exploring Operation: 74-36=38, Resulting Numbers: [16, 38]
Generated Node #0,1,2: 43:[16, 38] Operation: 74-36=38
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 43:[36, 58], Operations: ['12*3=36', '74-16=58']
Exploring Operation: 36*58=2088, Resulting Numbers: [2088]
2088,43 unequal: No Solution
Exploring Operation: 36+58=94, Resulting Numbers: [94]
94,43 unequal: No Solution
Exploring Operation: 58-36=22, Resulting Numbers: [22]
22,43 unequal: No Solution
No 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: 43:[16, 38], Operations: ['12*3=36', '74-36=38']
Exploring Operation: 16*38=608, Resulting Numbers: [608]
608,43 unequal: No Solution
Exploring Operation: 16+38=54, Resulting Numbers: [54]
54,43 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,43 unequal: No Solution
No 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: 43:[74, 52], Operations: ['12*3=36', '16+36=52']
Exploring Operation: 74*52=3848, Resulting Numbers: [3848]
3848,43 unequal: No Solution
Exploring Operation: 74-52=22, Resulting Numbers: [22]
22,43 unequal: No Solution
Exploring Operation: 74+52=126, Resulting Numbers: [126]
126,43 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: 43:[12, 74, 48], Operations: ['16*3=48']
Exploring Operation: 48-12=36, Resulting Numbers: [74, 36]
Generated Node #0,2,0: 43:[74, 36] Operation: 48-12=36
Exploring Operation: 74-12=62, Resulting Numbers: [48, 62]
Generated Node #0,2,1: 43:[48, 62] Operation: 74-12=62
Exploring Operation: 12+74=86, Resulting Numbers: [48, 86]
Generated Node #0,2,2: 43:[48, 86] Operation: 12+74=86
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 43:[48, 62], Operations: ['16*3=48', '74-12=62']
Exploring Operation: 48*62=2976, Resulting Numbers: [2976]
2976,43 unequal: No Solution
Exploring Operation: 62-48=14, Resulting Numbers: [14]
14,43 unequal: No Solution
Exploring Operation: 48+62=110, Resulting Numbers: [110]
110,43 unequal: No Solution
No 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: 43:[74, 36], Operations: ['16*3=48', '48-12=36']
Exploring Operation: 74+36=110, Resulting Numbers: [110]
110,43 unequal: No Solution
Exploring Operation: 74-36=38, Resulting Numbers: [38]
38,43 unequal: No Solution
Exploring Operation: 74*36=2664, Resulting Numbers: [2664]
2664,43 unequal: No Solution
No 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: 43:[48, 86], Operations: ['16*3=48', '12+74=86']
Exploring Operation: 86-48=38, Resulting Numbers: [38]
38,43 unequal: No Solution
Exploring Operation: 48*86=4128, Resulting Numbers: [4128]
4128,43 unequal: No Solution
Exploring Operation: 48+86=134, Resulting Numbers: [134]
134,43 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: 43:[3, 74, 28], Operations: ['12+16=28']
Exploring Operation: 3+28=31, Resulting Numbers: [74, 31]
Generated Node #0,0,0: 43:[74, 31] Operation: 3+28=31
Exploring Operation: 74-28=46, Resulting Numbers: [3, 46]
Generated Node #0,0,1: 43:[3, 46] Operation: 74-28=46
Exploring Operation: 74-3=71, Resulting Numbers: [28, 71]
Generated Node #0,0,2: 43:[28, 71] Operation: 74-3=71
Moving to Node #0,0,0
Current State: 43:[74, 31], Operations: ['12+16=28', '3+28=31']
Exploring Operation: 74*31=2294, Resulting Numbers: [2294]
2294,43 unequal: No Solution
Exploring Operation: 74-31=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[12, 16, 3, 74], Operations: []
Exploring Operation: 12+16=28, Resulting Numbers: [3, 74, 28]
Generated Node #0,0: 43:[3, 74, 28] Operation: 12+16=28
Moving to Node #0,0
Current State: 43:[3, 74, 28], Operations: ['12+16=28']
Exploring Operation: 3+28=31, Resulting Numbers: [74, 31]
Generated Node #0,0,0: 43:[74, 31] Operation: 3+28=31
Moving to Node #0,0,0
Current State: 43:[74, 31], Operations: ['12+16=28', '3+28=31']
Exploring Operation: 74-31=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_3 | sum_heuristic |
[
98,
92,
7,
89
] | 90 | [
"98-92=6",
"7+89=96",
"96-6=90"
] | Current State: 90:[98, 92, 7, 89], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [7, 89, 6]
Generated Node #2: [7, 89, 6] from Operation: 98-92=6
Current State: 90:[7, 89, 6], Operations: ['98-92=6']
Exploring Operation: 7+89=96, Resulting Numbers: [6, 96]
Generated Node #3: [6, 96] from Operation: 7+89=96
Current State: 90:[6, 96], Operations: ['98-92=6', '7+89=96']
Exploring Operation: 96-6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[98, 92, 7, 89], Operations: []
Exploring Operation: 98-89=9, Resulting Numbers: [92, 7, 9]
Generated Node #0,0: 90:[92, 7, 9] Operation: 98-89=9
Exploring Operation: 98-7=91, Resulting Numbers: [92, 89, 91]
Generated Node #0,1: 90:[92, 89, 91] Operation: 98-7=91
Exploring Operation: 98-92=6, Resulting Numbers: [7, 89, 6]
Generated Node #0,2: 90:[7, 89, 6] Operation: 98-92=6
Moving to Node #0,2
Current State: 90:[7, 89, 6], Operations: ['98-92=6']
Exploring Operation: 7-6=1, Resulting Numbers: [89, 1]
Generated Node #0,2,0: 90:[89, 1] Operation: 7-6=1
Exploring Operation: 7*6=42, Resulting Numbers: [89, 42]
Generated Node #0,2,1: 90:[89, 42] Operation: 7*6=42
Exploring Operation: 7+6=13, Resulting Numbers: [89, 13]
Generated Node #0,2,2: 90:[89, 13] Operation: 7+6=13
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 90:[89, 1], Operations: ['98-92=6', '7-6=1']
Exploring Operation: 89/1=89, Resulting Numbers: [89]
89,90 unequal: No Solution
Exploring Operation: 89+1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[98, 92, 7, 89], Operations: []
Exploring Operation: 98-92=6, Resulting Numbers: [7, 89, 6]
Generated Node #0,2: 90:[7, 89, 6] Operation: 98-92=6
Moving to Node #0,2
Current State: 90:[7, 89, 6], Operations: ['98-92=6']
Exploring Operation: 7-6=1, Resulting Numbers: [89, 1]
Generated Node #0,2,0: 90:[89, 1] Operation: 7-6=1
Moving to Node #0,2,0
Current State: 90:[89, 1], Operations: ['98-92=6', '7-6=1']
Exploring Operation: 89+1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
59,
5,
18,
18
] | 12 | [
"18/18=1",
"59+1=60",
"60/5=12"
] | Current State: 12:[59, 5, 18, 18], Operations: []
Exploring Operation: 18/18=1, Resulting Numbers: [59, 5, 1]
Generated Node #2: [59, 5, 1] from Operation: 18/18=1
Current State: 12:[59, 5, 1], Operations: ['18/18=1']
Exploring Operation: 59+1=60, Resulting Numbers: [5, 60]
Generated Node #3: [5, 60] from Operation: 59+1=60
Current State: 12:[5, 60], Operations: ['18/18=1', '59+1=60']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[59, 5, 18, 18], Operations: []
Exploring Operation: 18-18=0, Resulting Numbers: [59, 5, 0]
Generated Node #0,0: 12:[59, 5, 0] Operation: 18-18=0
Exploring Operation: 18/18=1, Resulting Numbers: [59, 5, 1]
Generated Node #0,1: 12:[59, 5, 1] Operation: 18/18=1
Exploring Operation: 59-18=41, Resulting Numbers: [5, 18, 41]
Generated Node #0,2: 12:[5, 18, 41] Operation: 59-18=41
Exploring Operation: 59-18=41, Resulting Numbers: [5, 18, 41]
Generated Node #0,3: 12:[5, 18, 41] Operation: 59-18=41
Start Sub Search at level 1: Moving to Node #0,2
Current State: 12:[5, 18, 41], Operations: ['59-18=41']
Exploring Operation: 41-5=36, Resulting Numbers: [18, 36]
Generated Node #0,2,0: 12:[18, 36] Operation: 41-5=36
Exploring Operation: 41-18=23, Resulting Numbers: [5, 23]
Generated Node #0,2,1: 12:[5, 23] Operation: 41-18=23
Exploring Operation: 18-5=13, Resulting Numbers: [41, 13]
Generated Node #0,2,2: 12:[41, 13] Operation: 18-5=13
Exploring Operation: 5+18=23, Resulting Numbers: [41, 23]
Generated Node #0,2,3: 12:[41, 23] Operation: 5+18=23
Moving to Node #0,2,1
Current State: 12:[5, 23], Operations: ['59-18=41', '41-18=23']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,12 unequal: No Solution
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,12 unequal: No Solution
Exploring Operation: 5*23=115, Resulting Numbers: [115]
115,12 unequal: No Solution
Moving to Node #0,2,2
Current State: 12:[41, 13], Operations: ['59-18=41', '18-5=13']
Exploring Operation: 41*13=533, Resulting Numbers: [533]
533,12 unequal: No Solution
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,12 unequal: No Solution
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Moving to Node #0,2,0
Current State: 12:[18, 36], Operations: ['59-18=41', '41-5=36']
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,12 unequal: No Solution
Exploring Operation: 18*36=648, Resulting Numbers: [648]
648,12 unequal: No Solution
Exploring Operation: 18+36=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,12 unequal: No Solution
Moving to Node #0,2,3
Current State: 12:[41, 23], Operations: ['59-18=41', '5+18=23']
Exploring Operation: 41*23=943, Resulting Numbers: [943]
943,12 unequal: No Solution
Exploring Operation: 41+23=64, Resulting Numbers: [64]
64,12 unequal: No Solution
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 12:[5, 18, 41], Operations: ['59-18=41']
Exploring Operation: 41-5=36, Resulting Numbers: [18, 36]
Generated Node #0,3,0: 12:[18, 36] Operation: 41-5=36
Exploring Operation: 18-5=13, Resulting Numbers: [41, 13]
Generated Node #0,3,1: 12:[41, 13] Operation: 18-5=13
Exploring Operation: 5+18=23, Resulting Numbers: [41, 23]
Generated Node #0,3,2: 12:[41, 23] Operation: 5+18=23
Exploring Operation: 41-18=23, Resulting Numbers: [5, 23]
Generated Node #0,3,3: 12:[5, 23] Operation: 41-18=23
Moving to Node #0,3,3
Current State: 12:[5, 23], Operations: ['59-18=41', '41-18=23']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,12 unequal: No Solution
Exploring Operation: 5*23=115, Resulting Numbers: [115]
115,12 unequal: No Solution
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,12 unequal: No Solution
Moving to Node #0,3,1
Current State: 12:[41, 13], Operations: ['59-18=41', '18-5=13']
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,12 unequal: No Solution
Exploring Operation: 41*13=533, Resulting Numbers: [533]
533,12 unequal: No Solution
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Moving to Node #0,3,0
Current State: 12:[18, 36], Operations: ['59-18=41', '41-5=36']
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,12 unequal: No Solution
Exploring Operation: 18+36=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,12 unequal: No Solution
Exploring Operation: 18*36=648, Resulting Numbers: [648]
648,12 unequal: No Solution
Moving to Node #0,3,2
Current State: 12:[41, 23], Operations: ['59-18=41', '5+18=23']
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,12 unequal: No Solution
Exploring Operation: 41+23=64, Resulting Numbers: [64]
64,12 unequal: No Solution
Exploring Operation: 41*23=943, Resulting Numbers: [943]
943,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[59, 5, 1], Operations: ['18/18=1']
Exploring Operation: 59-5=54, Resulting Numbers: [1, 54]
Generated Node #0,1,0: 12:[1, 54] Operation: 59-5=54
Exploring Operation: 59-1=58, Resulting Numbers: [5, 58]
Generated Node #0,1,1: 12:[5, 58] Operation: 59-1=58
Exploring Operation: 5+1=6, Resulting Numbers: [59, 6]
Generated Node #0,1,2: 12:[59, 6] Operation: 5+1=6
Exploring Operation: 5-1=4, Resulting Numbers: [59, 4]
Generated Node #0,1,3: 12:[59, 4] Operation: 5-1=4
Moving to Node #0,1,0
Current State: 12:[1, 54], Operations: ['18/18=1', '59-5=54']
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 1+54=55, Resulting Numbers: [55]
55,12 unequal: No Solution
Exploring Operation: 1*54=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,12 unequal: No Solution
Moving to Node #0,1,2
Current State: 12:[59, 6], Operations: ['18/18=1', '5+1=6']
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,12 unequal: No Solution
Exploring Operation: 59*6=354, Resulting Numbers: [354]
354,12 unequal: No Solution
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Moving to Node #0,1,1
Current State: 12:[5, 58], Operations: ['18/18=1', '59-1=58']
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,12 unequal: No Solution
Exploring Operation: 5*58=290, Resulting Numbers: [290]
290,12 unequal: No Solution
Exploring Operation: 5+58=63, Resulting Numbers: [63]
63,12 unequal: No Solution
Moving to Node #0,1,3
Current State: 12:[59, 4], Operations: ['18/18=1', '5-1=4']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,12 unequal: No Solution
Exploring Operation: 59*4=236, Resulting Numbers: [236]
236,12 unequal: No Solution
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[59, 5, 0], Operations: ['18-18=0']
Exploring Operation: 59-5=54, Resulting Numbers: [0, 54]
Generated Node #0,0,0: 12:[0, 54] Operation: 59-5=54
Exploring Operation: 59+0=59, Resulting Numbers: [5, 59]
Generated Node #0,0,1: 12:[5, 59] Operation: 59+0=59
Exploring Operation: 59*0=0, Resulting Numbers: [5, 0]
Generated Node #0,0,2: 12:[5, 0] Operation: 59*0=0
Exploring Operation: 59-0=59, Resulting Numbers: [5, 59]
Generated Node #0,0,3: 12:[5, 59] Operation: 59-0=59
Moving to Node #0,0,2
Current State: 12:[5, 0], Operations: ['18-18=0', '59*0=0']
Exploring Operation: 5+0=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 5-0=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 5*0=0, Resulting Numbers: [0]
0,12 unequal: No Solution
Moving to Node #0,0,0
Current State: 12:[0, 54], Operations: ['18-18=0', '59-5=54']
Exploring Operation: 0*54=0, Resulting Numbers: [0]
0,12 unequal: No Solution
Exploring Operation: 0+54=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 54-0=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Moving to Node #0,0,3
Current State: 12:[5, 59], Operations: ['18-18=0', '59-0=59']
Exploring Operation: 5*59=295, Resulting Numbers: [295]
295,12 unequal: No Solution
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 5+59=64, Resulting Numbers: [64]
64,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[5, 59], Operations: ['18-18=0', '59+0=59']
Exploring Operation: 5+59=64, Resulting Numbers: [64]
64,12 unequal: No Solution
Exploring Operation: 5*59=295, Resulting Numbers: [295]
295,12 unequal: No Solution
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,12 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 |
[
49,
98,
62,
83
] | 42 | [
"98/49=2",
"83-62=21",
"2*21=42"
] | Current State: 42:[49, 98, 62, 83], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [62, 83, 2]
Generated Node #2: [62, 83, 2] from Operation: 98/49=2
Current State: 42:[62, 83, 2], Operations: ['98/49=2']
Exploring Operation: 83-62=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 83-62=21
Current State: 42:[2, 21], Operations: ['98/49=2', '83-62=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[49, 98, 62, 83], Operations: []
Exploring Operation: 98-83=15, Resulting Numbers: [49, 62, 15]
Generated Node #0,0: 42:[49, 62, 15] Operation: 98-83=15
Exploring Operation: 98/49=2, Resulting Numbers: [62, 83, 2]
Generated Node #0,1: 42:[62, 83, 2] Operation: 98/49=2
Exploring Operation: 98-62=36, Resulting Numbers: [49, 83, 36]
Generated Node #0,2: 42:[49, 83, 36] Operation: 98-62=36
Moving to Node #0,0
Current State: 42:[49, 62, 15], Operations: ['98-83=15']
Exploring Operation: 62-49=13, Resulting Numbers: [15, 13]
Generated Node #0,0,0: 42:[15, 13] Operation: 62-49=13
Exploring Operation: 49-15=34, Resulting Numbers: [62, 34]
Generated Node #0,0,1: 42:[62, 34] Operation: 49-15=34
Exploring Operation: 62-15=47, Resulting Numbers: [49, 47]
Generated Node #0,0,2: 42:[49, 47] Operation: 62-15=47
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 42:[15, 13], Operations: ['98-83=15', '62-49=13']
Exploring Operation: 15+13=28, Resulting Numbers: [28]
28,42 unequal: No Solution
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 15*13=195, Resulting Numbers: [195]
195,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 42:[49, 47], Operations: ['98-83=15', '62-15=47']
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 49+47=96, Resulting Numbers: [96]
96,42 unequal: No Solution
Exploring Operation: 49*47=2303, Resulting Numbers: [2303]
2303,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 42:[62, 34], Operations: ['98-83=15', '49-15=34']
Exploring Operation: 62-34=28, Resulting Numbers: [28]
28,42 unequal: No Solution
Exploring Operation: 62+34=96, Resulting Numbers: [96]
96,42 unequal: No Solution
Exploring Operation: 62*34=2108, Resulting Numbers: [2108]
2108,42 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: 42:[49, 83, 36], Operations: ['98-62=36']
Exploring Operation: 83-36=47, Resulting Numbers: [49, 47]
Generated Node #0,2,0: 42:[49, 47] Operation: 83-36=47
Exploring Operation: 49-36=13, Resulting Numbers: [83, 13]
Generated Node #0,2,1: 42:[83, 13] Operation: 49-36=13
Exploring Operation: 83-49=34, Resulting Numbers: [36, 34]
Generated Node #0,2,2: 42:[36, 34] Operation: 83-49=34
Moving to Node #0,1
Current State: 42:[62, 83, 2], Operations: ['98/49=2']
Exploring Operation: 62-2=60, Resulting Numbers: [83, 60]
Generated Node #0,1,0: 42:[83, 60] Operation: 62-2=60
Exploring Operation: 83-62=21, Resulting Numbers: [2, 21]
Generated Node #0,1,1: 42:[2, 21] Operation: 83-62=21
Exploring Operation: 62/2=31, Resulting Numbers: [83, 31]
Generated Node #0,1,2: 42:[83, 31] Operation: 62/2=31
Moving to Node #0,1,1
Current State: 42:[2, 21], Operations: ['98/49=2', '83-62=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,42 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,42 unequal: No Solution
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[49, 98, 62, 83], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [62, 83, 2]
Generated Node #0,1: 42:[62, 83, 2] Operation: 98/49=2
Moving to Node #0,1
Current State: 42:[62, 83, 2], Operations: ['98/49=2']
Exploring Operation: 83-62=21, Resulting Numbers: [2, 21]
Generated Node #0,1,1: 42:[2, 21] Operation: 83-62=21
Moving to Node #0,1,1
Current State: 42:[2, 21], Operations: ['98/49=2', '83-62=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 0.975694 | hs_3 | sum_heuristic |
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