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 |
|---|---|---|---|---|---|---|---|---|
[
74,
40,
26,
70
] | 10 |
[
"74-40=34",
"70-26=44",
"44-34=10"
] |
Current State: 10:[74, 40, 26, 70], Operations: []
Exploring Operation: 74-40=34, Resulting Numbers: [26, 70, 34]
Generated Node #2: [26, 70, 34] from Operation: 74-40=34
Current State: 10:[26, 70, 34], Operations: ['74-40=34']
Exploring Operation: 70-26=44, Resulting Numbers: [34, 44]
Generated Node #3: [34, 44] from Operation: 70-26=44
Current State: 10:[34, 44], Operations: ['74-40=34', '70-26=44']
Exploring Operation: 44-34=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
Current State: 10:[74, 40, 26, 70], Operations: []
Exploring Operation: 40-26=14, Resulting Numbers: [74, 70, 14]
Generated Node #0,0: 10:[74, 70, 14] Operation: 40-26=14
Exploring Operation: 74-70=4, Resulting Numbers: [40, 26, 4]
Generated Node #0,1: 10:[40, 26, 4] Operation: 74-70=4
Exploring Operation: 74-40=34, Resulting Numbers: [26, 70, 34]
Generated Node #0,2: 10:[26, 70, 34] Operation: 74-40=34
Exploring Operation: 70-40=30, Resulting Numbers: [74, 26, 30]
Generated Node #0,3: 10:[74, 26, 30] Operation: 70-40=30
Exploring Operation: 74-26=48, Resulting Numbers: [40, 70, 48]
Generated Node #0,4: 10:[40, 70, 48] Operation: 74-26=48
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[40, 26, 4], Operations: ['74-70=4']
Exploring Operation: 40/4=10, Resulting Numbers: [26, 10]
Generated Node #0,1,0: 10:[26, 10] Operation: 40/4=10
Exploring Operation: 40+4=44, Resulting Numbers: [26, 44]
Generated Node #0,1,1: 10:[26, 44] Operation: 40+4=44
Exploring Operation: 40-26=14, Resulting Numbers: [4, 14]
Generated Node #0,1,2: 10:[4, 14] Operation: 40-26=14
Exploring Operation: 26-4=22, Resulting Numbers: [40, 22]
Generated Node #0,1,3: 10:[40, 22] Operation: 26-4=22
Exploring Operation: 40-4=36, Resulting Numbers: [26, 36]
Generated Node #0,1,4: 10:[26, 36] Operation: 40-4=36
Moving to Node #0,1,2
Current State: 10:[4, 14], Operations: ['74-70=4', '40-26=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,10 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,10 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[74, 40, 26, 70], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [40, 26, 4]
Generated Node #0,1: 10:[40, 26, 4] Operation: 74-70=4
Moving to Node #0,1
Current State: 10:[40, 26, 4], Operations: ['74-70=4']
Exploring Operation: 40-26=14, Resulting Numbers: [4, 14]
Generated Node #0,1,2: 10:[4, 14] Operation: 40-26=14
Moving to Node #0,1,2
Current State: 10:[4, 14], Operations: ['74-70=4', '40-26=14']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 |
hs_5
|
mult_heuristic
|
[
26,
74,
9,
17
] | 92 |
[
"26+74=100",
"17-9=8",
"100-8=92"
] |
Current State: 92:[26, 74, 9, 17], Operations: []
Exploring Operation: 26+74=100, Resulting Numbers: [9, 17, 100]
Generated Node #2: [9, 17, 100] from Operation: 26+74=100
Current State: 92:[9, 17, 100], Operations: ['26+74=100']
Exploring Operation: 17-9=8, Resulting Numbers: [100, 8]
Generated Node #3: [100, 8] from Operation: 17-9=8
Current State: 92:[100, 8], Operations: ['26+74=100', '17-9=8']
Exploring Operation: 100-8=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
Current State: 92:[26, 74, 9, 17], Operations: []
Exploring Operation: 74+9=83, Resulting Numbers: [26, 17, 83]
Generated Node #0,0: 92:[26, 17, 83] Operation: 74+9=83
Exploring Operation: 26+74=100, Resulting Numbers: [9, 17, 100]
Generated Node #0,1: 92:[9, 17, 100] Operation: 26+74=100
Exploring Operation: 74+17=91, Resulting Numbers: [26, 9, 91]
Generated Node #0,2: 92:[26, 9, 91] Operation: 74+17=91
Exploring Operation: 74-26=48, Resulting Numbers: [9, 17, 48]
Generated Node #0,3: 92:[9, 17, 48] Operation: 74-26=48
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[26, 9, 91], Operations: ['74+17=91']
Exploring Operation: 26+9=35, Resulting Numbers: [91, 35]
Generated Node #0,2,0: 92:[91, 35] Operation: 26+9=35
Exploring Operation: 91-9=82, Resulting Numbers: [26, 82]
Generated Node #0,2,1: 92:[26, 82] Operation: 91-9=82
Exploring Operation: 26-9=17, Resulting Numbers: [91, 17]
Generated Node #0,2,2: 92:[91, 17] Operation: 26-9=17
Exploring Operation: 9+91=100, Resulting Numbers: [26, 100]
Generated Node #0,2,3: 92:[26, 100] Operation: 9+91=100
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 92:[91, 17], Operations: ['74+17=91', '26-9=17']
Exploring Operation: 91*17=1547, Resulting Numbers: [1547]
1547,92 unequal: No Solution
Exploring Operation: 91-17=74, Resulting Numbers: [74]
74,92 unequal: No Solution
Exploring Operation: 91+17=108, Resulting Numbers: [108]
108,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 92:[26, 100], Operations: ['74+17=91', '9+91=100']
Exploring Operation: 26+100=126, Resulting Numbers: [126]
126,92 unequal: No Solution
Exploring Operation: 26*100=2600, Resulting Numbers: [2600]
2600,92 unequal: No Solution
Exploring Operation: 100-26=74, Resulting Numbers: [74]
74,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 92:[91, 35], Operations: ['74+17=91', '26+9=35']
Exploring Operation: 91+35=126, Resulting Numbers: [126]
126,92 unequal: No Solution
Exploring Operation: 91*35=3185, Resulting Numbers: [3185]
3185,92 unequal: No Solution
Exploring Operation: 91-35=56, Resulting Numbers: [56]
56,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 92:[26, 82], Operations: ['74+17=91', '91-9=82']
Exploring Operation: 26*82=2132, Resulting Numbers: [2132]
2132,92 unequal: No Solution
Exploring Operation: 26+82=108, Resulting Numbers: [108]
108,92 unequal: No Solution
Exploring Operation: 82-26=56, Resulting Numbers: [56]
56,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 92:[9, 17, 48], Operations: ['74-26=48']
Exploring Operation: 48-9=39, Resulting Numbers: [17, 39]
Generated Node #0,3,0: 92:[17, 39] Operation: 48-9=39
Exploring Operation: 48-17=31, Resulting Numbers: [9, 31]
Generated Node #0,3,1: 92:[9, 31] Operation: 48-17=31
Exploring Operation: 9+17=26, Resulting Numbers: [48, 26]
Generated Node #0,3,2: 92:[48, 26] Operation: 9+17=26
Exploring Operation: 17-9=8, Resulting Numbers: [48, 8]
Generated Node #0,3,3: 92:[48, 8] Operation: 17-9=8
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 92:[48, 26], Operations: ['74-26=48', '9+17=26']
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,92 unequal: No Solution
Exploring Operation: 48+26=74, Resulting Numbers: [74]
74,92 unequal: No Solution
Exploring Operation: 48*26=1248, Resulting Numbers: [1248]
1248,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 92:[48, 8], Operations: ['74-26=48', '17-9=8']
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,92 unequal: No Solution
Exploring Operation: 48+8=56, Resulting Numbers: [56]
56,92 unequal: No Solution
Exploring Operation: 48*8=384, Resulting Numbers: [384]
384,92 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 92:[17, 39], Operations: ['74-26=48', '48-9=39']
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,92 unequal: No Solution
Exploring Operation: 17+39=56, Resulting Numbers: [56]
56,92 unequal: No Solution
Exploring Operation: 17*39=663, Resulting Numbers: [663]
663,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 92:[9, 31], Operations: ['74-26=48', '48-17=31']
Exploring Operation: 9*31=279, Resulting Numbers: [279]
279,92 unequal: No Solution
Exploring Operation: 9+31=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[26, 17, 83], Operations: ['74+9=83']
Exploring Operation: 83-26=57, Resulting Numbers: [17, 57]
Generated Node #0,0,0: 92:[17, 57] Operation: 83-26=57
Exploring Operation: 26-17=9, Resulting Numbers: [83, 9]
Generated Node #0,0,1: 92:[83, 9] Operation: 26-17=9
Exploring Operation: 26+17=43, Resulting Numbers: [83, 43]
Generated Node #0,0,2: 92:[83, 43] Operation: 26+17=43
Exploring Operation: 17+83=100, Resulting Numbers: [26, 100]
Generated Node #0,0,3: 92:[26, 100] Operation: 17+83=100
Moving to Node #0,0,3
Current State: 92:[26, 100], Operations: ['74+9=83', '17+83=100']
Exploring Operation: 100-26=74, Resulting Numbers: [74]
74,92 unequal: No Solution
Exploring Operation: 26*100=2600, Resulting Numbers: [2600]
2600,92 unequal: No Solution
Exploring Operation: 26+100=126, Resulting Numbers: [126]
126,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[83, 43], Operations: ['74+9=83', '26+17=43']
Exploring Operation: 83+43=126, Resulting Numbers: [126]
126,92 unequal: No Solution
Exploring Operation: 83*43=3569, Resulting Numbers: [3569]
3569,92 unequal: No Solution
Exploring Operation: 83-43=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[83, 9], Operations: ['74+9=83', '26-17=9']
Exploring Operation: 83+9=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[26, 74, 9, 17], Operations: []
Exploring Operation: 74+9=83, Resulting Numbers: [26, 17, 83]
Generated Node #0,0: 92:[26, 17, 83] Operation: 74+9=83
Moving to Node #0,0
Current State: 92:[26, 17, 83], Operations: ['74+9=83']
Exploring Operation: 26-17=9, Resulting Numbers: [83, 9]
Generated Node #0,0,1: 92:[83, 9] Operation: 26-17=9
Moving to Node #0,0,1
Current State: 92:[83, 9], Operations: ['74+9=83', '26-17=9']
Exploring Operation: 83+9=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.954861 |
hs_4
|
sum_heuristic
|
[
44,
26,
21,
57
] | 47 |
[
"21+57=78",
"78/26=3",
"44+3=47"
] |
Current State: 47:[44, 26, 21, 57], Operations: []
Exploring Operation: 21+57=78, Resulting Numbers: [44, 26, 78]
Generated Node #2: [44, 26, 78] from Operation: 21+57=78
Current State: 47:[44, 26, 78], Operations: ['21+57=78']
Exploring Operation: 78/26=3, Resulting Numbers: [44, 3]
Generated Node #3: [44, 3] from Operation: 78/26=3
Current State: 47:[44, 3], Operations: ['21+57=78', '78/26=3']
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
Current State: 47:[44, 26, 21, 57], Operations: []
Exploring Operation: 44-21=23, Resulting Numbers: [26, 57, 23]
Generated Node #0,0: 47:[26, 57, 23] Operation: 44-21=23
Exploring Operation: 26+21=47, Resulting Numbers: [44, 57, 47]
Generated Node #0,1: 47:[44, 57, 47] Operation: 26+21=47
Exploring Operation: 57-21=36, Resulting Numbers: [44, 26, 36]
Generated Node #0,2: 47:[44, 26, 36] Operation: 57-21=36
Exploring Operation: 44+21=65, Resulting Numbers: [26, 57, 65]
Generated Node #0,3: 47:[26, 57, 65] Operation: 44+21=65
Exploring Operation: 57-26=31, Resulting Numbers: [44, 21, 31]
Generated Node #0,4: 47:[44, 21, 31] Operation: 57-26=31
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[44, 57, 47], Operations: ['26+21=47']
Exploring Operation: 44+57=101, Resulting Numbers: [47, 101]
Generated Node #0,1,0: 47:[47, 101] Operation: 44+57=101
Exploring Operation: 47-44=3, Resulting Numbers: [57, 3]
Generated Node #0,1,1: 47:[57, 3] Operation: 47-44=3
Exploring Operation: 57-47=10, Resulting Numbers: [44, 10]
Generated Node #0,1,2: 47:[44, 10] Operation: 57-47=10
Exploring Operation: 57-44=13, Resulting Numbers: [47, 13]
Generated Node #0,1,3: 47:[47, 13] Operation: 57-44=13
Exploring Operation: 44+47=91, Resulting Numbers: [57, 91]
Generated Node #0,1,4: 47:[57, 91] Operation: 44+47=91
Moving to Node #0,1,3
Current State: 47:[47, 13], Operations: ['26+21=47', '57-44=13']
Exploring Operation: 47-13=34, Resulting Numbers: [34]
34,47 unequal: No Solution
Exploring Operation: 47+13=60, Resulting Numbers: [60]
60,47 unequal: No Solution
Exploring Operation: 47*13=611, Resulting Numbers: [611]
611,47 unequal: No Solution
Moving to Node #0,1,2
Current State: 47:[44, 10], Operations: ['26+21=47', '57-47=10']
Exploring Operation: 44-10=34, Resulting Numbers: [34]
34,47 unequal: No Solution
Exploring Operation: 44+10=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 44*10=440, Resulting Numbers: [440]
440,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[47, 101], Operations: ['26+21=47', '44+57=101']
Exploring Operation: 47*101=4747, Resulting Numbers: [4747]
4747,47 unequal: No Solution
Exploring Operation: 47+101=148, Resulting Numbers: [148]
148,47 unequal: No Solution
Exploring Operation: 101-47=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[57, 3], Operations: ['26+21=47', '47-44=3']
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,47 unequal: No Solution
Exploring Operation: 57*3=171, Resulting Numbers: [171]
171,47 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,47 unequal: No Solution
Moving to Node #0,1,4
Current State: 47:[57, 91], Operations: ['26+21=47', '44+47=91']
Exploring Operation: 57+91=148, Resulting Numbers: [148]
148,47 unequal: No Solution
Exploring Operation: 91-57=34, Resulting Numbers: [34]
34,47 unequal: No Solution
Exploring Operation: 57*91=5187, Resulting Numbers: [5187]
5187,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[44, 26, 36], Operations: ['57-21=36']
Exploring Operation: 44-26=18, Resulting Numbers: [36, 18]
Generated Node #0,2,0: 47:[36, 18] Operation: 44-26=18
Exploring Operation: 36-26=10, Resulting Numbers: [44, 10]
Generated Node #0,2,1: 47:[44, 10] Operation: 36-26=10
Exploring Operation: 44+36=80, Resulting Numbers: [26, 80]
Generated Node #0,2,2: 47:[26, 80] Operation: 44+36=80
Exploring Operation: 26+36=62, Resulting Numbers: [44, 62]
Generated Node #0,2,3: 47:[44, 62] Operation: 26+36=62
Exploring Operation: 44+26=70, Resulting Numbers: [36, 70]
Generated Node #0,2,4: 47:[36, 70] Operation: 44+26=70
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 47:[44, 62], Operations: ['57-21=36', '26+36=62']
Exploring Operation: 62-44=18, Resulting Numbers: [18]
18,47 unequal: No Solution
Exploring Operation: 44+62=106, Resulting Numbers: [106]
106,47 unequal: No Solution
Exploring Operation: 44*62=2728, Resulting Numbers: [2728]
2728,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 47:[36, 70], Operations: ['57-21=36', '44+26=70']
Exploring Operation: 36+70=106, Resulting Numbers: [106]
106,47 unequal: No Solution
Exploring Operation: 70-36=34, Resulting Numbers: [34]
34,47 unequal: No Solution
Exploring Operation: 36*70=2520, Resulting Numbers: [2520]
2520,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 47:[36, 18], Operations: ['57-21=36', '44-26=18']
Exploring Operation: 36*18=648, Resulting Numbers: [648]
648,47 unequal: No Solution
Exploring Operation: 36+18=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,47 unequal: No Solution
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 47:[44, 10], Operations: ['57-21=36', '36-26=10']
Exploring Operation: 44-10=34, Resulting Numbers: [34]
34,47 unequal: No Solution
Exploring Operation: 44+10=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 44*10=440, Resulting Numbers: [440]
440,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 47:[26, 80], Operations: ['57-21=36', '44+36=80']
Exploring Operation: 26*80=2080, Resulting Numbers: [2080]
2080,47 unequal: No Solution
Exploring Operation: 80-26=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 26+80=106, Resulting Numbers: [106]
106,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 47:[44, 21, 31], Operations: ['57-26=31']
Exploring Operation: 44-21=23, Resulting Numbers: [31, 23]
Generated Node #0,4,0: 47:[31, 23] Operation: 44-21=23
Exploring Operation: 44+21=65, Resulting Numbers: [31, 65]
Generated Node #0,4,1: 47:[31, 65] Operation: 44+21=65
Exploring Operation: 31-21=10, Resulting Numbers: [44, 10]
Generated Node #0,4,2: 47:[44, 10] Operation: 31-21=10
Exploring Operation: 21+31=52, Resulting Numbers: [44, 52]
Generated Node #0,4,3: 47:[44, 52] Operation: 21+31=52
Exploring Operation: 44+31=75, Resulting Numbers: [21, 75]
Generated Node #0,4,4: 47:[21, 75] Operation: 44+31=75
Moving to Node #0,4,3
Current State: 47:[44, 52], Operations: ['57-26=31', '21+31=52']
Exploring Operation: 52-44=8, Resulting Numbers: [8]
8,47 unequal: No Solution
Exploring Operation: 44+52=96, Resulting Numbers: [96]
96,47 unequal: No Solution
Exploring Operation: 44*52=2288, Resulting Numbers: [2288]
2288,47 unequal: No Solution
Moving to Node #0,4,1
Current State: 47:[31, 65], Operations: ['57-26=31', '44+21=65']
Exploring Operation: 31*65=2015, Resulting Numbers: [2015]
2015,47 unequal: No Solution
Exploring Operation: 65-31=34, Resulting Numbers: [34]
34,47 unequal: No Solution
Exploring Operation: 31+65=96, Resulting Numbers: [96]
96,47 unequal: No Solution
Moving to Node #0,4,0
Current State: 47:[31, 23], Operations: ['57-26=31', '44-21=23']
Exploring Operation: 31*23=713, Resulting Numbers: [713]
713,47 unequal: No Solution
Exploring Operation: 31+23=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 31-23=8, Resulting Numbers: [8]
8,47 unequal: No Solution
Moving to Node #0,4,2
Current State: 47:[44, 10], Operations: ['57-26=31', '31-21=10']
Exploring Operation: 44+10=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 44*10=440, Resulting Numbers: [440]
440,47 unequal: No Solution
Exploring Operation: 44-10=34, Resulting Numbers: [34]
34,47 unequal: No Solution
Moving to Node #0,4,4
Current State: 47:[21, 75], Operations: ['57-26=31', '44+31=75']
Exploring Operation: 21*75=1575, Resulting Numbers: [1575]
1575,47 unequal: No Solution
Exploring Operation: 75-21=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 21+75=96, Resulting Numbers: [96]
96,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 47:[26, 57, 65], Operations: ['44+21=65']
Exploring Operation: 26+57=83, Resulting Numbers: [65, 83]
Generated Node #0,3,0: 47:[65, 83] Operation: 26+57=83
Exploring Operation: 57-26=31, Resulting Numbers: [65, 31]
Generated Node #0,3,1: 47:[65, 31] Operation: 57-26=31
Exploring Operation: 65-26=39, Resulting Numbers: [57, 39]
Generated Node #0,3,2: 47:[57, 39] Operation: 65-26=39
Exploring Operation: 65-57=8, Resulting Numbers: [26, 8]
Generated Node #0,3,3: 47:[26, 8] Operation: 65-57=8
Exploring Operation: 26+65=91, Resulting Numbers: [57, 91]
Generated Node #0,3,4: 47:[57, 91] Operation: 26+65=91
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 47:[57, 39], Operations: ['44+21=65', '65-26=39']
Exploring Operation: 57+39=96, Resulting Numbers: [96]
96,47 unequal: No Solution
Exploring Operation: 57*39=2223, Resulting Numbers: [2223]
2223,47 unequal: No Solution
Exploring Operation: 57-39=18, Resulting Numbers: [18]
18,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 47:[65, 31], Operations: ['44+21=65', '57-26=31']
Exploring Operation: 65+31=96, Resulting Numbers: [96]
96,47 unequal: No Solution
Exploring Operation: 65-31=34, Resulting Numbers: [34]
34,47 unequal: No Solution
Exploring Operation: 65*31=2015, Resulting Numbers: [2015]
2015,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 47:[65, 83], Operations: ['44+21=65', '26+57=83']
Exploring Operation: 65+83=148, Resulting Numbers: [148]
148,47 unequal: No Solution
Exploring Operation: 83-65=18, Resulting Numbers: [18]
18,47 unequal: No Solution
Exploring Operation: 65*83=5395, Resulting Numbers: [5395]
5395,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 47:[57, 91], Operations: ['44+21=65', '26+65=91']
Exploring Operation: 57+91=148, Resulting Numbers: [148]
148,47 unequal: No Solution
Exploring Operation: 91-57=34, Resulting Numbers: [34]
34,47 unequal: No Solution
Exploring Operation: 57*91=5187, Resulting Numbers: [5187]
5187,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 47:[26, 8], Operations: ['44+21=65', '65-57=8']
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,47 unequal: No Solution
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,47 unequal: No Solution
Exploring Operation: 26*8=208, Resulting Numbers: [208]
208,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[26, 57, 23], Operations: ['44-21=23']
Exploring Operation: 57+23=80, Resulting Numbers: [26, 80]
Generated Node #0,0,0: 47:[26, 80] Operation: 57+23=80
Exploring Operation: 26-23=3, Resulting Numbers: [57, 3]
Generated Node #0,0,1: 47:[57, 3] Operation: 26-23=3
Exploring Operation: 57-26=31, Resulting Numbers: [23, 31]
Generated Node #0,0,2: 47:[23, 31] Operation: 57-26=31
Exploring Operation: 57-23=34, Resulting Numbers: [26, 34]
Generated Node #0,0,3: 47:[26, 34] Operation: 57-23=34
Exploring Operation: 26+23=49, Resulting Numbers: [57, 49]
Generated Node #0,0,4: 47:[57, 49] Operation: 26+23=49
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 47:[57, 49], Operations: ['44-21=23', '26+23=49']
Exploring Operation: 57+49=106, Resulting Numbers: [106]
106,47 unequal: No Solution
Exploring Operation: 57-49=8, Resulting Numbers: [8]
8,47 unequal: No Solution
Exploring Operation: 57*49=2793, Resulting Numbers: [2793]
2793,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 47:[26, 34], Operations: ['44-21=23', '57-23=34']
Exploring Operation: 26+34=60, Resulting Numbers: [60]
60,47 unequal: No Solution
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,47 unequal: No Solution
Exploring Operation: 26*34=884, Resulting Numbers: [884]
884,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 47:[23, 31], Operations: ['44-21=23', '57-26=31']
Exploring Operation: 23+31=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 23*31=713, Resulting Numbers: [713]
713,47 unequal: No Solution
Exploring Operation: 31-23=8, Resulting Numbers: [8]
8,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[26, 80], Operations: ['44-21=23', '57+23=80']
Exploring Operation: 26+80=106, Resulting Numbers: [106]
106,47 unequal: No Solution
Exploring Operation: 26*80=2080, Resulting Numbers: [2080]
2080,47 unequal: No Solution
Exploring Operation: 80-26=54, Resulting Numbers: [54]
54,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[57, 3], Operations: ['44-21=23', '26-23=3']
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,47 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,47 unequal: No Solution
Exploring Operation: 57*3=171, Resulting Numbers: [171]
171,47 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
2,
80,
98,
73
] | 82 |
[
"98-80=18",
"18/2=9",
"73+9=82"
] |
Current State: 82:[2, 80, 98, 73], Operations: []
Exploring Operation: 98-80=18, Resulting Numbers: [2, 73, 18]
Generated Node #2: [2, 73, 18] from Operation: 98-80=18
Current State: 82:[2, 73, 18], Operations: ['98-80=18']
Exploring Operation: 18/2=9, Resulting Numbers: [73, 9]
Generated Node #3: [73, 9] from Operation: 18/2=9
Current State: 82:[73, 9], Operations: ['98-80=18', '18/2=9']
Exploring Operation: 73+9=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
Current State: 82:[2, 80, 98, 73], Operations: []
Exploring Operation: 98-73=25, Resulting Numbers: [2, 80, 25]
Generated Node #0,0: 82:[2, 80, 25] Operation: 98-73=25
Exploring Operation: 2+80=82, Resulting Numbers: [98, 73, 82]
Generated Node #0,1: 82:[98, 73, 82] Operation: 2+80=82
Exploring Operation: 98-2=96, Resulting Numbers: [80, 73, 96]
Generated Node #0,2: 82:[80, 73, 96] Operation: 98-2=96
Exploring Operation: 80-73=7, Resulting Numbers: [2, 98, 7]
Generated Node #0,3: 82:[2, 98, 7] Operation: 80-73=7
Exploring Operation: 98/2=49, Resulting Numbers: [80, 73, 49]
Generated Node #0,4: 82:[80, 73, 49] Operation: 98/2=49
Moving to Node #0,0
Current State: 82:[2, 80, 25], Operations: ['98-73=25']
Exploring Operation: 2+80=82, Resulting Numbers: [25, 82]
Generated Node #0,0,0: 82:[25, 82] Operation: 2+80=82
Exploring Operation: 2*25=50, Resulting Numbers: [80, 50]
Generated Node #0,0,1: 82:[80, 50] Operation: 2*25=50
Exploring Operation: 80-25=55, Resulting Numbers: [2, 55]
Generated Node #0,0,2: 82:[2, 55] Operation: 80-25=55
Exploring Operation: 80/2=40, Resulting Numbers: [25, 40]
Generated Node #0,0,3: 82:[25, 40] Operation: 80/2=40
Exploring Operation: 2+25=27, Resulting Numbers: [80, 27]
Generated Node #0,0,4: 82:[80, 27] Operation: 2+25=27
Moving to Node #0,4
Current State: 82:[80, 73, 49], Operations: ['98/2=49']
Exploring Operation: 80-49=31, Resulting Numbers: [73, 31]
Generated Node #0,4,0: 82:[73, 31] Operation: 80-49=31
Exploring Operation: 73-49=24, Resulting Numbers: [80, 24]
Generated Node #0,4,1: 82:[80, 24] Operation: 73-49=24
Exploring Operation: 80+49=129, Resulting Numbers: [73, 129]
Generated Node #0,4,2: 82:[73, 129] Operation: 80+49=129
Exploring Operation: 73+49=122, Resulting Numbers: [80, 122]
Generated Node #0,4,3: 82:[80, 122] Operation: 73+49=122
Exploring Operation: 80-73=7, Resulting Numbers: [49, 7]
Generated Node #0,4,4: 82:[49, 7] Operation: 80-73=7
Moving to Node #0,3
Current State: 82:[2, 98, 7], Operations: ['80-73=7']
Exploring Operation: 98-2=96, Resulting Numbers: [7, 96]
Generated Node #0,3,0: 82:[7, 96] Operation: 98-2=96
Exploring Operation: 7-2=5, Resulting Numbers: [98, 5]
Generated Node #0,3,1: 82:[98, 5] Operation: 7-2=5
Exploring Operation: 98/2=49, Resulting Numbers: [7, 49]
Generated Node #0,3,2: 82:[7, 49] Operation: 98/2=49
Exploring Operation: 98/7=14, Resulting Numbers: [2, 14]
Generated Node #0,3,3: 82:[2, 14] Operation: 98/7=14
Exploring Operation: 98-7=91, Resulting Numbers: [2, 91]
Generated Node #0,3,4: 82:[2, 91] Operation: 98-7=91
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 82:[2, 91], Operations: ['80-73=7', '98-7=91']
Exploring Operation: 2+91=93, Resulting Numbers: [93]
93,82 unequal: No Solution
Exploring Operation: 2*91=182, Resulting Numbers: [182]
182,82 unequal: No Solution
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 82:[2, 14], Operations: ['80-73=7', '98/7=14']
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,82 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,82 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,82 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 82:[7, 49], Operations: ['80-73=7', '98/2=49']
Exploring Operation: 7+49=56, Resulting Numbers: [56]
56,82 unequal: No Solution
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 7*49=343, Resulting Numbers: [343]
343,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 82:[7, 96], Operations: ['80-73=7', '98-2=96']
Exploring Operation: 7*96=672, Resulting Numbers: [672]
672,82 unequal: No Solution
Exploring Operation: 96-7=89, Resulting Numbers: [89]
89,82 unequal: No Solution
Exploring Operation: 7+96=103, Resulting Numbers: [103]
103,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 82:[98, 5], Operations: ['80-73=7', '7-2=5']
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,82 unequal: No Solution
Exploring Operation: 98*5=490, Resulting Numbers: [490]
490,82 unequal: No Solution
Exploring Operation: 98+5=103, Resulting Numbers: [103]
103,82 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: 82:[98, 73, 82], Operations: ['2+80=82']
Exploring Operation: 82-73=9, Resulting Numbers: [98, 9]
Generated Node #0,1,0: 82:[98, 9] Operation: 82-73=9
Exploring Operation: 98-73=25, Resulting Numbers: [82, 25]
Generated Node #0,1,1: 82:[82, 25] Operation: 98-73=25
Exploring Operation: 73+82=155, Resulting Numbers: [98, 155]
Generated Node #0,1,2: 82:[98, 155] Operation: 73+82=155
Exploring Operation: 98-82=16, Resulting Numbers: [73, 16]
Generated Node #0,1,3: 82:[73, 16] Operation: 98-82=16
Exploring Operation: 98+73=171, Resulting Numbers: [82, 171]
Generated Node #0,1,4: 82:[82, 171] Operation: 98+73=171
Moving to Node #0,2
Current State: 82:[80, 73, 96], Operations: ['98-2=96']
Exploring Operation: 80+73=153, Resulting Numbers: [96, 153]
Generated Node #0,2,0: 82:[96, 153] Operation: 80+73=153
Exploring Operation: 96-80=16, Resulting Numbers: [73, 16]
Generated Node #0,2,1: 82:[73, 16] Operation: 96-80=16
Exploring Operation: 73+96=169, Resulting Numbers: [80, 169]
Generated Node #0,2,2: 82:[80, 169] Operation: 73+96=169
Exploring Operation: 96-73=23, Resulting Numbers: [80, 23]
Generated Node #0,2,3: 82:[80, 23] Operation: 96-73=23
Exploring Operation: 80-73=7, Resulting Numbers: [96, 7]
Generated Node #0,2,4: 82:[96, 7] Operation: 80-73=7
Moving to Node #0,0,1
Current State: 82:[80, 50], Operations: ['98-73=25', '2*25=50']
Exploring Operation: 80+50=130, Resulting Numbers: [130]
130,82 unequal: No Solution
Exploring Operation: 80-50=30, Resulting Numbers: [30]
30,82 unequal: No Solution
Exploring Operation: 80*50=4000, Resulting Numbers: [4000]
4000,82 unequal: No Solution
Moving to Node #0,4,4
Current State: 82:[49, 7], Operations: ['98/2=49', '80-73=7']
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Exploring Operation: 49+7=56, Resulting Numbers: [56]
56,82 unequal: No Solution
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 49*7=343, Resulting Numbers: [343]
343,82 unequal: No Solution
Moving to Node #0,0,2
Current State: 82:[2, 55], Operations: ['98-73=25', '80-25=55']
Exploring Operation: 2*55=110, Resulting Numbers: [110]
110,82 unequal: No Solution
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,82 unequal: No Solution
Exploring Operation: 2+55=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Moving to Node #0,0,0
Current State: 82:[25, 82], Operations: ['98-73=25', '2+80=82']
Exploring Operation: 25*82=2050, Resulting Numbers: [2050]
2050,82 unequal: No Solution
Exploring Operation: 82-25=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Exploring Operation: 25+82=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[82, 25], Operations: ['2+80=82', '98-73=25']
Exploring Operation: 82*25=2050, Resulting Numbers: [2050]
2050,82 unequal: No Solution
Exploring Operation: 82-25=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Exploring Operation: 82+25=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Moving to Node #0,0,4
Current State: 82:[80, 27], Operations: ['98-73=25', '2+25=27']
Exploring Operation: 80+27=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 80*27=2160, Resulting Numbers: [2160]
2160,82 unequal: No Solution
Exploring Operation: 80-27=53, Resulting Numbers: [53]
53,82 unequal: No Solution
Moving to Node #0,0,3
Current State: 82:[25, 40], Operations: ['98-73=25', '80/2=40']
Exploring Operation: 40-25=15, Resulting Numbers: [15]
15,82 unequal: No Solution
Exploring Operation: 25+40=65, Resulting Numbers: [65]
65,82 unequal: No Solution
Exploring Operation: 25*40=1000, Resulting Numbers: [1000]
1000,82 unequal: No Solution
Moving to Node #0,4,0
Current State: 82:[73, 31], Operations: ['98/2=49', '80-49=31']
Exploring Operation: 73*31=2263, Resulting Numbers: [2263]
2263,82 unequal: No Solution
Exploring Operation: 73-31=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 73+31=104, Resulting Numbers: [104]
104,82 unequal: No Solution
Moving to Node #0,4,1
Current State: 82:[80, 24], Operations: ['98/2=49', '73-49=24']
Exploring Operation: 80+24=104, Resulting Numbers: [104]
104,82 unequal: No Solution
Exploring Operation: 80-24=56, Resulting Numbers: [56]
56,82 unequal: No Solution
Exploring Operation: 80*24=1920, Resulting Numbers: [1920]
1920,82 unequal: No Solution
Moving to Node #0,2,4
Current State: 82:[96, 7], Operations: ['98-2=96', '80-73=7']
Exploring Operation: 96*7=672, Resulting Numbers: [672]
672,82 unequal: No Solution
Exploring Operation: 96-7=89, Resulting Numbers: [89]
89,82 unequal: No Solution
Exploring Operation: 96+7=103, Resulting Numbers: [103]
103,82 unequal: No Solution
Moving to Node #0,2,3
Current State: 82:[80, 23], Operations: ['98-2=96', '96-73=23']
Exploring Operation: 80+23=103, Resulting Numbers: [103]
103,82 unequal: No Solution
Exploring Operation: 80-23=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Exploring Operation: 80*23=1840, Resulting Numbers: [1840]
1840,82 unequal: No Solution
Moving to Node #0,1,3
Current State: 82:[73, 16], Operations: ['2+80=82', '98-82=16']
Exploring Operation: 73+16=89, Resulting Numbers: [89]
89,82 unequal: No Solution
Exploring Operation: 73-16=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Exploring Operation: 73*16=1168, Resulting Numbers: [1168]
1168,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[98, 9], Operations: ['2+80=82', '82-73=9']
Exploring Operation: 98-9=89, Resulting Numbers: [89]
89,82 unequal: No Solution
Exploring Operation: 98+9=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 98*9=882, Resulting Numbers: [882]
882,82 unequal: No Solution
Moving to Node #0,2,1
Current State: 82:[73, 16], Operations: ['98-2=96', '96-80=16']
Exploring Operation: 73+16=89, Resulting Numbers: [89]
89,82 unequal: No Solution
Exploring Operation: 73-16=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Exploring Operation: 73*16=1168, Resulting Numbers: [1168]
1168,82 unequal: No Solution
Moving to Node #0,4,3
Current State: 82:[80, 122], Operations: ['98/2=49', '73+49=122']
Exploring Operation: 80+122=202, Resulting Numbers: [202]
202,82 unequal: No Solution
Exploring Operation: 122-80=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 80*122=9760, Resulting Numbers: [9760]
9760,82 unequal: No Solution
Moving to Node #0,4,2
Current State: 82:[73, 129], Operations: ['98/2=49', '80+49=129']
Exploring Operation: 73*129=9417, Resulting Numbers: [9417]
9417,82 unequal: No Solution
Exploring Operation: 73+129=202, Resulting Numbers: [202]
202,82 unequal: No Solution
Exploring Operation: 129-73=56, Resulting Numbers: [56]
56,82 unequal: No Solution
Moving to Node #0,2,0
Current State: 82:[96, 153], Operations: ['98-2=96', '80+73=153']
Exploring Operation: 96*153=14688, Resulting Numbers: [14688]
14688,82 unequal: No Solution
Exploring Operation: 153-96=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Exploring Operation: 96+153=249, Resulting Numbers: [249]
249,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[98, 155], Operations: ['2+80=82', '73+82=155']
Exploring Operation: 98*155=15190, Resulting Numbers: [15190]
15190,82 unequal: No Solution
Exploring Operation: 98+155=253, Resulting Numbers: [253]
253,82 unequal: No Solution
Exploring Operation: 155-98=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Moving to Node #0,2,2
Current State: 82:[80, 169], Operations: ['98-2=96', '73+96=169']
Exploring Operation: 80+169=249, Resulting Numbers: [249]
249,82 unequal: No Solution
Exploring Operation: 80*169=13520, Resulting Numbers: [13520]
13520,82 unequal: No Solution
Exploring Operation: 169-80=89, Resulting Numbers: [89]
89,82 unequal: No Solution
Moving to Node #0,1,4
Current State: 82:[82, 171], Operations: ['2+80=82', '98+73=171']
Exploring Operation: 82*171=14022, Resulting Numbers: [14022]
14022,82 unequal: No Solution
Exploring Operation: 171-82=89, Resulting Numbers: [89]
89,82 unequal: No Solution
Exploring Operation: 82+171=253, Resulting Numbers: [253]
253,82 unequal: No Solution
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
54,
84,
6,
89
] | 94 |
[
"84-54=30",
"30/6=5",
"89+5=94"
] |
Current State: 94:[54, 84, 6, 89], Operations: []
Exploring Operation: 84-54=30, Resulting Numbers: [6, 89, 30]
Generated Node #2: [6, 89, 30] from Operation: 84-54=30
Current State: 94:[6, 89, 30], Operations: ['84-54=30']
Exploring Operation: 30/6=5, Resulting Numbers: [89, 5]
Generated Node #3: [89, 5] from Operation: 30/6=5
Current State: 94:[89, 5], Operations: ['84-54=30', '30/6=5']
Exploring Operation: 89+5=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
Current State: 94:[54, 84, 6, 89], Operations: []
Exploring Operation: 89-84=5, Resulting Numbers: [54, 6, 5]
Generated Node #0,0: 94:[54, 6, 5] Operation: 89-84=5
Exploring Operation: 54-6=48, Resulting Numbers: [84, 89, 48]
Generated Node #0,1: 94:[84, 89, 48] Operation: 54-6=48
Exploring Operation: 84+6=90, Resulting Numbers: [54, 89, 90]
Generated Node #0,2: 94:[54, 89, 90] Operation: 84+6=90
Moving to Node #0,0
Current State: 94:[54, 6, 5], Operations: ['89-84=5']
Exploring Operation: 54-6=48, Resulting Numbers: [5, 48]
Generated Node #0,0,0: 94:[5, 48] Operation: 54-6=48
Exploring Operation: 54-5=49, Resulting Numbers: [6, 49]
Generated Node #0,0,1: 94:[6, 49] Operation: 54-5=49
Exploring Operation: 6-5=1, Resulting Numbers: [54, 1]
Generated Node #0,0,2: 94:[54, 1] Operation: 6-5=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[5, 48], Operations: ['89-84=5', '54-6=48']
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,94 unequal: No Solution
Exploring Operation: 5+48=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Exploring Operation: 5*48=240, Resulting Numbers: [240]
240,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 94:[6, 49], Operations: ['89-84=5', '54-5=49']
Exploring Operation: 6*49=294, Resulting Numbers: [294]
294,94 unequal: No Solution
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,94 unequal: No Solution
Exploring Operation: 6+49=55, Resulting Numbers: [55]
55,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 94:[54, 1], Operations: ['89-84=5', '6-5=1']
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 94:[84, 89, 48], Operations: ['54-6=48']
Exploring Operation: 84-48=36, Resulting Numbers: [89, 36]
Generated Node #0,1,0: 94:[89, 36] Operation: 84-48=36
Exploring Operation: 89-84=5, Resulting Numbers: [48, 5]
Generated Node #0,1,1: 94:[48, 5] Operation: 89-84=5
Exploring Operation: 89-48=41, Resulting Numbers: [84, 41]
Generated Node #0,1,2: 94:[84, 41] Operation: 89-48=41
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 94:[48, 5], Operations: ['54-6=48', '89-84=5']
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,94 unequal: No Solution
Exploring Operation: 48*5=240, Resulting Numbers: [240]
240,94 unequal: No Solution
Exploring Operation: 48+5=53, Resulting Numbers: [53]
53,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[89, 36], Operations: ['54-6=48', '84-48=36']
Exploring Operation: 89*36=3204, Resulting Numbers: [3204]
3204,94 unequal: No Solution
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Exploring Operation: 89+36=125, Resulting Numbers: [125]
125,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 94:[84, 41], Operations: ['54-6=48', '89-48=41']
Exploring Operation: 84+41=125, Resulting Numbers: [125]
125,94 unequal: No Solution
Exploring Operation: 84-41=43, Resulting Numbers: [43]
43,94 unequal: No Solution
Exploring Operation: 84*41=3444, Resulting Numbers: [3444]
3444,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 94:[54, 89, 90], Operations: ['84+6=90']
Exploring Operation: 90-54=36, Resulting Numbers: [89, 36]
Generated Node #0,2,0: 94:[89, 36] Operation: 90-54=36
Exploring Operation: 90-89=1, Resulting Numbers: [54, 1]
Generated Node #0,2,1: 94:[54, 1] Operation: 90-89=1
Exploring Operation: 89-54=35, Resulting Numbers: [90, 35]
Generated Node #0,2,2: 94:[90, 35] Operation: 89-54=35
Moving to Node #0,2,1
Current State: 94:[54, 1], Operations: ['84+6=90', '90-89=1']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,94 unequal: No Solution
Moving to Node #0,2,0
Current State: 94:[89, 36], Operations: ['84+6=90', '90-54=36']
Exploring Operation: 89+36=125, Resulting Numbers: [125]
125,94 unequal: No Solution
Exploring Operation: 89-36=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Exploring Operation: 89*36=3204, Resulting Numbers: [3204]
3204,94 unequal: No Solution
Moving to Node #0,2,2
Current State: 94:[90, 35], Operations: ['84+6=90', '89-54=35']
Exploring Operation: 90+35=125, Resulting Numbers: [125]
125,94 unequal: No Solution
Exploring Operation: 90*35=3150, Resulting Numbers: [3150]
3150,94 unequal: No Solution
Exploring Operation: 90-35=55, Resulting Numbers: [55]
55,94 unequal: No Solution
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
33,
79,
80,
63
] | 97 |
[
"79-33=46",
"80+63=143",
"143-46=97"
] |
Current State: 97:[33, 79, 80, 63], Operations: []
Exploring Operation: 79-33=46, Resulting Numbers: [80, 63, 46]
Generated Node #2: [80, 63, 46] from Operation: 79-33=46
Current State: 97:[80, 63, 46], Operations: ['79-33=46']
Exploring Operation: 80+63=143, Resulting Numbers: [46, 143]
Generated Node #3: [46, 143] from Operation: 80+63=143
Current State: 97:[46, 143], Operations: ['79-33=46', '80+63=143']
Exploring Operation: 143-46=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
Current State: 97:[33, 79, 80, 63], Operations: []
Exploring Operation: 33+63=96, Resulting Numbers: [79, 80, 96]
Generated Node #0,0: 97:[79, 80, 96] Operation: 33+63=96
Moving to Node #0,0
Current State: 97:[79, 80, 96], Operations: ['33+63=96']
Exploring Operation: 79+80=159, Resulting Numbers: [96, 159]
Generated Node #0,0,0: 97:[96, 159] Operation: 79+80=159
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[96, 159], Operations: ['33+63=96', '79+80=159']
Exploring Operation: 159-96=63, Resulting Numbers: [63]
63,97 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
|
[
49,
3,
28,
29
] | 53 |
[
"49+3=52",
"29-28=1",
"52+1=53"
] |
Current State: 53:[49, 3, 28, 29], Operations: []
Exploring Operation: 49+3=52, Resulting Numbers: [28, 29, 52]
Generated Node #2: [28, 29, 52] from Operation: 49+3=52
Current State: 53:[28, 29, 52], Operations: ['49+3=52']
Exploring Operation: 29-28=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 29-28=1
Current State: 53:[52, 1], Operations: ['49+3=52', '29-28=1']
Exploring Operation: 52+1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
Current State: 53:[49, 3, 28, 29], Operations: []
Exploring Operation: 28-3=25, Resulting Numbers: [49, 29, 25]
Generated Node #0,0: 53:[49, 29, 25] Operation: 28-3=25
Exploring Operation: 49-3=46, Resulting Numbers: [28, 29, 46]
Generated Node #0,1: 53:[28, 29, 46] Operation: 49-3=46
Exploring Operation: 3+29=32, Resulting Numbers: [49, 28, 32]
Generated Node #0,2: 53:[49, 28, 32] Operation: 3+29=32
Exploring Operation: 3+28=31, Resulting Numbers: [49, 29, 31]
Generated Node #0,3: 53:[49, 29, 31] Operation: 3+28=31
Exploring Operation: 49+3=52, Resulting Numbers: [28, 29, 52]
Generated Node #0,4: 53:[28, 29, 52] Operation: 49+3=52
Start Sub Search at level 1: Moving to Node #0,2
Current State: 53:[49, 28, 32], Operations: ['3+29=32']
Exploring Operation: 32-28=4, Resulting Numbers: [49, 4]
Generated Node #0,2,0: 53:[49, 4] Operation: 32-28=4
Exploring Operation: 28+32=60, Resulting Numbers: [49, 60]
Generated Node #0,2,1: 53:[49, 60] Operation: 28+32=60
Exploring Operation: 49+32=81, Resulting Numbers: [28, 81]
Generated Node #0,2,2: 53:[28, 81] Operation: 49+32=81
Exploring Operation: 49-28=21, Resulting Numbers: [32, 21]
Generated Node #0,2,3: 53:[32, 21] Operation: 49-28=21
Exploring Operation: 49+28=77, Resulting Numbers: [32, 77]
Generated Node #0,2,4: 53:[32, 77] Operation: 49+28=77
Moving to Node #0,2,1
Current State: 53:[49, 60], Operations: ['3+29=32', '28+32=60']
Exploring Operation: 49*60=2940, Resulting Numbers: [2940]
2940,53 unequal: No Solution
Exploring Operation: 60-49=11, Resulting Numbers: [11]
11,53 unequal: No Solution
Exploring Operation: 49+60=109, Resulting Numbers: [109]
109,53 unequal: No Solution
Moving to Node #0,2,4
Current State: 53:[32, 77], Operations: ['3+29=32', '49+28=77']
Exploring Operation: 77-32=45, Resulting Numbers: [45]
45,53 unequal: No Solution
Exploring Operation: 32*77=2464, Resulting Numbers: [2464]
2464,53 unequal: No Solution
Exploring Operation: 32+77=109, Resulting Numbers: [109]
109,53 unequal: No Solution
Moving to Node #0,2,0
Current State: 53:[49, 4], Operations: ['3+29=32', '32-28=4']
Exploring Operation: 49+4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[49, 3, 28, 29], Operations: []
Exploring Operation: 3+29=32, Resulting Numbers: [49, 28, 32]
Generated Node #0,2: 53:[49, 28, 32] Operation: 3+29=32
Moving to Node #0,2
Current State: 53:[49, 28, 32], Operations: ['3+29=32']
Exploring Operation: 32-28=4, Resulting Numbers: [49, 4]
Generated Node #0,2,0: 53:[49, 4] Operation: 32-28=4
Moving to Node #0,2,0
Current State: 53:[49, 4], Operations: ['3+29=32', '32-28=4']
Exploring Operation: 49+4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 |
hs_5
|
mult_heuristic
|
[
70,
36,
10,
88
] | 20 |
[
"88-70=18",
"36*10=360",
"360/18=20"
] |
Current State: 20:[70, 36, 10, 88], Operations: []
Exploring Operation: 88-70=18, Resulting Numbers: [36, 10, 18]
Generated Node #2: [36, 10, 18] from Operation: 88-70=18
Current State: 20:[36, 10, 18], Operations: ['88-70=18']
Exploring Operation: 36*10=360, Resulting Numbers: [18, 360]
Generated Node #3: [18, 360] from Operation: 36*10=360
Current State: 20:[18, 360], Operations: ['88-70=18', '36*10=360']
Exploring Operation: 360/18=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
Current State: 20:[70, 36, 10, 88], Operations: []
Exploring Operation: 88-70=18, Resulting Numbers: [36, 10, 18]
Generated Node #0,0: 20:[36, 10, 18] Operation: 88-70=18
Exploring Operation: 70-36=34, Resulting Numbers: [10, 88, 34]
Generated Node #0,1: 20:[10, 88, 34] Operation: 70-36=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[36, 10, 18], Operations: ['88-70=18']
Exploring Operation: 36/18=2, Resulting Numbers: [10, 2]
Generated Node #0,0,0: 20:[10, 2] Operation: 36/18=2
Exploring Operation: 36-18=18, Resulting Numbers: [10, 18]
Generated Node #0,0,1: 20:[10, 18] Operation: 36-18=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 20:[10, 2], Operations: ['88-70=18', '36/18=2']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,20 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[70, 36, 10, 88], Operations: []
Exploring Operation: 88-70=18, Resulting Numbers: [36, 10, 18]
Generated Node #0,0: 20:[36, 10, 18] Operation: 88-70=18
Moving to Node #0,0
Current State: 20:[36, 10, 18], Operations: ['88-70=18']
Exploring Operation: 36/18=2, Resulting Numbers: [10, 2]
Generated Node #0,0,0: 20:[10, 2] Operation: 36/18=2
Moving to Node #0,0,0
Current State: 20:[10, 2], Operations: ['88-70=18', '36/18=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 |
hs_2
|
sum_heuristic
|
[
54,
19,
68,
4
] | 52 |
[
"54-19=35",
"68/4=17",
"35+17=52"
] |
Current State: 52:[54, 19, 68, 4], Operations: []
Exploring Operation: 54-19=35, Resulting Numbers: [68, 4, 35]
Generated Node #2: [68, 4, 35] from Operation: 54-19=35
Current State: 52:[68, 4, 35], Operations: ['54-19=35']
Exploring Operation: 68/4=17, Resulting Numbers: [35, 17]
Generated Node #3: [35, 17] from Operation: 68/4=17
Current State: 52:[35, 17], Operations: ['54-19=35', '68/4=17']
Exploring Operation: 35+17=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
Current State: 52:[54, 19, 68, 4], Operations: []
Exploring Operation: 68-19=49, Resulting Numbers: [54, 4, 49]
Generated Node #0,0: 52:[54, 4, 49] Operation: 68-19=49
Moving to Node #0,0
Current State: 52:[54, 4, 49], Operations: ['68-19=49']
Exploring Operation: 54-49=5, Resulting Numbers: [4, 5]
Generated Node #0,0,0: 52:[4, 5] Operation: 54-49=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[4, 5], Operations: ['68-19=49', '54-49=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,52 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
|
[
85,
3,
54,
82
] | 45 |
[
"85-82=3",
"3*3=9",
"54-9=45"
] |
Current State: 45:[85, 3, 54, 82], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [3, 54, 3]
Generated Node #2: [3, 54, 3] from Operation: 85-82=3
Current State: 45:[3, 54, 3], Operations: ['85-82=3']
Exploring Operation: 3*3=9, Resulting Numbers: [54, 9]
Generated Node #3: [54, 9] from Operation: 3*3=9
Current State: 45:[54, 9], Operations: ['85-82=3', '3*3=9']
Exploring Operation: 54-9=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
Current State: 45:[85, 3, 54, 82], Operations: []
Exploring Operation: 82-54=28, Resulting Numbers: [85, 3, 28]
Generated Node #0,0: 45:[85, 3, 28] Operation: 82-54=28
Exploring Operation: 85-82=3, Resulting Numbers: [3, 54, 3]
Generated Node #0,1: 45:[3, 54, 3] Operation: 85-82=3
Exploring Operation: 54/3=18, Resulting Numbers: [85, 82, 18]
Generated Node #0,2: 45:[85, 82, 18] Operation: 54/3=18
Exploring Operation: 85-54=31, Resulting Numbers: [3, 82, 31]
Generated Node #0,3: 45:[3, 82, 31] Operation: 85-54=31
Moving to Node #0,1
Current State: 45:[3, 54, 3], Operations: ['85-82=3']
Exploring Operation: 54/3=18, Resulting Numbers: [3, 18]
Generated Node #0,1,0: 45:[3, 18] Operation: 54/3=18
Exploring Operation: 54-3=51, Resulting Numbers: [3, 51]
Generated Node #0,1,1: 45:[3, 51] Operation: 54-3=51
Exploring Operation: 54-3=51, Resulting Numbers: [3, 51]
Generated Node #0,1,2: 45:[3, 51] Operation: 54-3=51
Exploring Operation: 54/3=18, Resulting Numbers: [3, 18]
Generated Node #0,1,3: 45:[3, 18] Operation: 54/3=18
Moving to Node #0,3
Current State: 45:[3, 82, 31], Operations: ['85-54=31']
Exploring Operation: 31-3=28, Resulting Numbers: [82, 28]
Generated Node #0,3,0: 45:[82, 28] Operation: 31-3=28
Exploring Operation: 3+31=34, Resulting Numbers: [82, 34]
Generated Node #0,3,1: 45:[82, 34] Operation: 3+31=34
Exploring Operation: 82-31=51, Resulting Numbers: [3, 51]
Generated Node #0,3,2: 45:[3, 51] Operation: 82-31=51
Exploring Operation: 82-3=79, Resulting Numbers: [31, 79]
Generated Node #0,3,3: 45:[31, 79] Operation: 82-3=79
Moving to Node #0,0
Current State: 45:[85, 3, 28], Operations: ['82-54=28']
Exploring Operation: 85-3=82, Resulting Numbers: [28, 82]
Generated Node #0,0,0: 45:[28, 82] Operation: 85-3=82
Exploring Operation: 3+28=31, Resulting Numbers: [85, 31]
Generated Node #0,0,1: 45:[85, 31] Operation: 3+28=31
Exploring Operation: 85-28=57, Resulting Numbers: [3, 57]
Generated Node #0,0,2: 45:[3, 57] Operation: 85-28=57
Exploring Operation: 28-3=25, Resulting Numbers: [85, 25]
Generated Node #0,0,3: 45:[85, 25] Operation: 28-3=25
Moving to Node #0,2
Current State: 45:[85, 82, 18], Operations: ['54/3=18']
Exploring Operation: 85-82=3, Resulting Numbers: [18, 3]
Generated Node #0,2,0: 45:[18, 3] Operation: 85-82=3
Exploring Operation: 82-18=64, Resulting Numbers: [85, 64]
Generated Node #0,2,1: 45:[85, 64] Operation: 82-18=64
Exploring Operation: 85-18=67, Resulting Numbers: [82, 67]
Generated Node #0,2,2: 45:[82, 67] Operation: 85-18=67
Exploring Operation: 85+18=103, Resulting Numbers: [82, 103]
Generated Node #0,2,3: 45:[82, 103] Operation: 85+18=103
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 45:[18, 3], Operations: ['54/3=18', '85-82=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,45 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,45 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,45 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 #0,2,1
Current State: 45:[85, 64], Operations: ['54/3=18', '82-18=64']
Exploring Operation: 85+64=149, Resulting Numbers: [149]
149,45 unequal: No Solution
Exploring Operation: 85*64=5440, Resulting Numbers: [5440]
5440,45 unequal: No Solution
Exploring Operation: 85-64=21, Resulting Numbers: [21]
21,45 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 #0,2,2
Current State: 45:[82, 67], Operations: ['54/3=18', '85-18=67']
Exploring Operation: 82-67=15, Resulting Numbers: [15]
15,45 unequal: No Solution
Exploring Operation: 82*67=5494, Resulting Numbers: [5494]
5494,45 unequal: No Solution
Exploring Operation: 82+67=149, Resulting Numbers: [149]
149,45 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 #0,2,3
Current State: 45:[82, 103], Operations: ['54/3=18', '85+18=103']
Exploring Operation: 82*103=8446, Resulting Numbers: [8446]
8446,45 unequal: No Solution
Exploring Operation: 82+103=185, Resulting Numbers: [185]
185,45 unequal: No Solution
Exploring Operation: 103-82=21, Resulting Numbers: [21]
21,45 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: 45:[3, 18], Operations: ['85-82=3', '54/3=18']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,45 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,45 unequal: No Solution
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,45 unequal: No Solution
Moving to Node #0,1,3
Current State: 45:[3, 18], Operations: ['85-82=3', '54/3=18']
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,45 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,45 unequal: No Solution
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,45 unequal: No Solution
Moving to Node #0,1,1
Current State: 45:[3, 51], Operations: ['85-82=3', '54-3=51']
Exploring Operation: 3*51=153, Resulting Numbers: [153]
153,45 unequal: No Solution
Exploring Operation: 3+51=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,45 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,45 unequal: No Solution
Moving to Node #0,3,2
Current State: 45:[3, 51], Operations: ['85-54=31', '82-31=51']
Exploring Operation: 3+51=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,45 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,45 unequal: No Solution
Exploring Operation: 3*51=153, Resulting Numbers: [153]
153,45 unequal: No Solution
Moving to Node #0,1,2
Current State: 45:[3, 51], Operations: ['85-82=3', '54-3=51']
Exploring Operation: 3*51=153, Resulting Numbers: [153]
153,45 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,45 unequal: No Solution
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,45 unequal: No Solution
Exploring Operation: 3+51=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Moving to Node #0,0,2
Current State: 45:[3, 57], Operations: ['82-54=28', '85-28=57']
Exploring Operation: 3+57=60, Resulting Numbers: [60]
60,45 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Exploring Operation: 3*57=171, Resulting Numbers: [171]
171,45 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,45 unequal: No Solution
Moving to Node #0,3,3
Current State: 45:[31, 79], Operations: ['85-54=31', '82-3=79']
Exploring Operation: 31*79=2449, Resulting Numbers: [2449]
2449,45 unequal: No Solution
Exploring Operation: 79-31=48, Resulting Numbers: [48]
48,45 unequal: No Solution
Exploring Operation: 31+79=110, Resulting Numbers: [110]
110,45 unequal: No Solution
Moving to Node #0,3,1
Current State: 45:[82, 34], Operations: ['85-54=31', '3+31=34']
Exploring Operation: 82-34=48, Resulting Numbers: [48]
48,45 unequal: No Solution
Exploring Operation: 82*34=2788, Resulting Numbers: [2788]
2788,45 unequal: No Solution
Exploring Operation: 82+34=116, Resulting Numbers: [116]
116,45 unequal: No Solution
Moving to Node #0,0,3
Current State: 45:[85, 25], Operations: ['82-54=28', '28-3=25']
Exploring Operation: 85*25=2125, Resulting Numbers: [2125]
2125,45 unequal: No Solution
Exploring Operation: 85-25=60, Resulting Numbers: [60]
60,45 unequal: No Solution
Exploring Operation: 85+25=110, Resulting Numbers: [110]
110,45 unequal: No Solution
Moving to Node #0,3,0
Current State: 45:[82, 28], Operations: ['85-54=31', '31-3=28']
Exploring Operation: 82+28=110, Resulting Numbers: [110]
110,45 unequal: No Solution
Exploring Operation: 82*28=2296, Resulting Numbers: [2296]
2296,45 unequal: No Solution
Exploring Operation: 82-28=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Moving to Node #0,0,0
Current State: 45:[28, 82], Operations: ['82-54=28', '85-3=82']
Exploring Operation: 28*82=2296, Resulting Numbers: [2296]
2296,45 unequal: No Solution
Exploring Operation: 28+82=110, Resulting Numbers: [110]
110,45 unequal: No Solution
Exploring Operation: 82-28=54, Resulting Numbers: [54]
54,45 unequal: No Solution
Moving to Node #0,0,1
Current State: 45:[85, 31], Operations: ['82-54=28', '3+28=31']
Exploring Operation: 85+31=116, Resulting Numbers: [116]
116,45 unequal: No Solution
Exploring Operation: 85*31=2635, Resulting Numbers: [2635]
2635,45 unequal: No Solution
Exploring Operation: 85-31=54, Resulting Numbers: [54]
54,45 unequal: No Solution
No solution found.
| 0 |
hs_4
|
mult_heuristic
|
[
29,
6,
23,
13
] | 96 |
[
"29+13=42",
"6*23=138",
"138-42=96"
] |
Current State: 96:[29, 6, 23, 13], Operations: []
Exploring Operation: 29+13=42, Resulting Numbers: [6, 23, 42]
Generated Node #2: [6, 23, 42] from Operation: 29+13=42
Current State: 96:[6, 23, 42], Operations: ['29+13=42']
Exploring Operation: 6*23=138, Resulting Numbers: [42, 138]
Generated Node #3: [42, 138] from Operation: 6*23=138
Current State: 96:[42, 138], Operations: ['29+13=42', '6*23=138']
Exploring Operation: 138-42=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
Current State: 96:[29, 6, 23, 13], Operations: []
Exploring Operation: 29-23=6, Resulting Numbers: [6, 13, 6]
Generated Node #0,0: 96:[6, 13, 6] Operation: 29-23=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[6, 13, 6], Operations: ['29-23=6']
Exploring Operation: 13-6=7, Resulting Numbers: [6, 7]
Generated Node #0,0,0: 96:[6, 7] Operation: 13-6=7
Moving to Node #0,0,0
Current State: 96:[6, 7], Operations: ['29-23=6', '13-6=7']
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,96 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
|
[
96,
19,
40,
93
] | 17 |
[
"96-93=3",
"19*3=57",
"57-40=17"
] |
Current State: 17:[96, 19, 40, 93], Operations: []
Exploring Operation: 96-93=3, Resulting Numbers: [19, 40, 3]
Generated Node #2: [19, 40, 3] from Operation: 96-93=3
Current State: 17:[19, 40, 3], Operations: ['96-93=3']
Exploring Operation: 19*3=57, Resulting Numbers: [40, 57]
Generated Node #3: [40, 57] from Operation: 19*3=57
Current State: 17:[40, 57], Operations: ['96-93=3', '19*3=57']
Exploring Operation: 57-40=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
Current State: 17:[96, 19, 40, 93], Operations: []
Exploring Operation: 96-93=3, Resulting Numbers: [19, 40, 3]
Generated Node #0,0: 17:[19, 40, 3] Operation: 96-93=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[19, 40, 3], Operations: ['96-93=3']
Exploring Operation: 40-19=21, Resulting Numbers: [3, 21]
Generated Node #0,0,0: 17:[3, 21] Operation: 40-19=21
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 17:[3, 21], Operations: ['96-93=3', '40-19=21']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,17 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
|
[
12,
9,
75,
83
] | 58 |
[
"12-9=3",
"75/3=25",
"83-25=58"
] |
Current State: 58:[12, 9, 75, 83], Operations: []
Exploring Operation: 12-9=3, Resulting Numbers: [75, 83, 3]
Generated Node #2: [75, 83, 3] from Operation: 12-9=3
Current State: 58:[75, 83, 3], Operations: ['12-9=3']
Exploring Operation: 75/3=25, Resulting Numbers: [83, 25]
Generated Node #3: [83, 25] from Operation: 75/3=25
Current State: 58:[83, 25], Operations: ['12-9=3', '75/3=25']
Exploring Operation: 83-25=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
Current State: 58:[12, 9, 75, 83], Operations: []
Exploring Operation: 75-12=63, Resulting Numbers: [9, 83, 63]
Generated Node #0,0: 58:[9, 83, 63] Operation: 75-12=63
Exploring Operation: 83-75=8, Resulting Numbers: [12, 9, 8]
Generated Node #0,1: 58:[12, 9, 8] Operation: 83-75=8
Moving to Node #0,1
Current State: 58:[12, 9, 8], Operations: ['83-75=8']
Exploring Operation: 12-8=4, Resulting Numbers: [9, 4]
Generated Node #0,1,0: 58:[9, 4] Operation: 12-8=4
Exploring Operation: 12-9=3, Resulting Numbers: [8, 3]
Generated Node #0,1,1: 58:[8, 3] Operation: 12-9=3
Moving to Node #0,0
Current State: 58:[9, 83, 63], Operations: ['75-12=63']
Exploring Operation: 83-63=20, Resulting Numbers: [9, 20]
Generated Node #0,0,0: 58:[9, 20] Operation: 83-63=20
Exploring Operation: 83-9=74, Resulting Numbers: [63, 74]
Generated Node #0,0,1: 58:[63, 74] Operation: 83-9=74
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[9, 20], Operations: ['75-12=63', '83-63=20']
Exploring Operation: 9+20=29, Resulting Numbers: [29]
29,58 unequal: No Solution
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,58 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 #0,0,1
Current State: 58:[63, 74], Operations: ['75-12=63', '83-9=74']
Exploring Operation: 63+74=137, Resulting Numbers: [137]
137,58 unequal: No Solution
Exploring Operation: 74-63=11, Resulting Numbers: [11]
11,58 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: 58:[8, 3], Operations: ['83-75=8', '12-9=3']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,58 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,58 unequal: No Solution
Moving to Node #0,1,0
Current State: 58:[9, 4], Operations: ['83-75=8', '12-8=4']
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,58 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,58 unequal: No Solution
No solution found.
| 0 |
hs_2
|
sum_heuristic
|
[
35,
35,
6,
71
] | 41 |
[
"71-35=36",
"36/6=6",
"35+6=41"
] |
Current State: 41:[35, 35, 6, 71], Operations: []
Exploring Operation: 71-35=36, Resulting Numbers: [6, 36]
Generated Node #2: [6, 36] from Operation: 71-35=36
Current State: 41:[6, 36], Operations: ['71-35=36']
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,41 equal: Goal Reached
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
Current State: 41:[35, 35, 6, 71], Operations: []
Exploring Operation: 71-6=65, Resulting Numbers: [35, 35, 65]
Generated Node #0,0: 41:[35, 35, 65] Operation: 71-6=65
Exploring Operation: 71-35=36, Resulting Numbers: [35, 6, 36]
Generated Node #0,1: 41:[35, 6, 36] Operation: 71-35=36
Exploring Operation: 35+6=41, Resulting Numbers: [35, 71, 41]
Generated Node #0,2: 41:[35, 71, 41] Operation: 35+6=41
Exploring Operation: 71-35=36, Resulting Numbers: [35, 6, 36]
Generated Node #0,3: 41:[35, 6, 36] Operation: 71-35=36
Exploring Operation: 35+6=41, Resulting Numbers: [35, 71, 41]
Generated Node #0,4: 41:[35, 71, 41] Operation: 35+6=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[35, 35, 65], Operations: ['71-6=65']
Exploring Operation: 35/35=1, Resulting Numbers: [65, 1]
Generated Node #0,0,0: 41:[65, 1] Operation: 35/35=1
Exploring Operation: 35-35=0, Resulting Numbers: [65, 0]
Generated Node #0,0,1: 41:[65, 0] Operation: 35-35=0
Exploring Operation: 65-35=30, Resulting Numbers: [35, 30]
Generated Node #0,0,2: 41:[35, 30] Operation: 65-35=30
Exploring Operation: 65-35=30, Resulting Numbers: [35, 30]
Generated Node #0,0,3: 41:[35, 30] Operation: 65-35=30
Exploring Operation: 35+35=70, Resulting Numbers: [65, 70]
Generated Node #0,0,4: 41:[65, 70] Operation: 35+35=70
Moving to Node #0,0,2
Current State: 41:[35, 30], Operations: ['71-6=65', '65-35=30']
Exploring Operation: 35+30=65, Resulting Numbers: [65]
65,41 unequal: No Solution
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,41 unequal: No Solution
Exploring Operation: 35*30=1050, Resulting Numbers: [1050]
1050,41 unequal: No Solution
Moving to Node #0,0,3
Current State: 41:[35, 30], Operations: ['71-6=65', '65-35=30']
Exploring Operation: 35*30=1050, Resulting Numbers: [1050]
1050,41 unequal: No Solution
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,41 unequal: No Solution
Exploring Operation: 35+30=65, Resulting Numbers: [65]
65,41 unequal: No Solution
Moving to Node #0,0,4
Current State: 41:[65, 70], Operations: ['71-6=65', '35+35=70']
Exploring Operation: 65*70=4550, Resulting Numbers: [4550]
4550,41 unequal: No Solution
Exploring Operation: 65+70=135, Resulting Numbers: [135]
135,41 unequal: No Solution
Exploring Operation: 70-65=5, Resulting Numbers: [5]
5,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[65, 1], Operations: ['71-6=65', '35/35=1']
Exploring Operation: 65/1=65, Resulting Numbers: [65]
65,41 unequal: No Solution
Exploring Operation: 65+1=66, Resulting Numbers: [66]
66,41 unequal: No Solution
Exploring Operation: 65*1=65, Resulting Numbers: [65]
65,41 unequal: No Solution
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[65, 0], Operations: ['71-6=65', '35-35=0']
Exploring Operation: 65-0=65, Resulting Numbers: [65]
65,41 unequal: No Solution
Exploring Operation: 65*0=0, Resulting Numbers: [0]
0,41 unequal: No Solution
Exploring Operation: 65+0=65, Resulting Numbers: [65]
65,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 41:[35, 71, 41], Operations: ['35+6=41']
Exploring Operation: 41-35=6, Resulting Numbers: [71, 6]
Generated Node #0,2,0: 41:[71, 6] Operation: 41-35=6
Exploring Operation: 71-41=30, Resulting Numbers: [35, 30]
Generated Node #0,2,1: 41:[35, 30] Operation: 71-41=30
Exploring Operation: 35+41=76, Resulting Numbers: [71, 76]
Generated Node #0,2,2: 41:[71, 76] Operation: 35+41=76
Exploring Operation: 35+71=106, Resulting Numbers: [41, 106]
Generated Node #0,2,3: 41:[41, 106] Operation: 35+71=106
Exploring Operation: 71-35=36, Resulting Numbers: [41, 36]
Generated Node #0,2,4: 41:[41, 36] Operation: 71-35=36
Moving to Node #0,2,4
Current State: 41:[41, 36], Operations: ['35+6=41', '71-35=36']
Exploring Operation: 41+36=77, Resulting Numbers: [77]
77,41 unequal: No Solution
Exploring Operation: 41*36=1476, Resulting Numbers: [1476]
1476,41 unequal: No Solution
Exploring Operation: 41-36=5, Resulting Numbers: [5]
5,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[35, 30], Operations: ['35+6=41', '71-41=30']
Exploring Operation: 35+30=65, Resulting Numbers: [65]
65,41 unequal: No Solution
Exploring Operation: 35*30=1050, Resulting Numbers: [1050]
1050,41 unequal: No Solution
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[71, 6], Operations: ['35+6=41', '41-35=6']
Exploring Operation: 71*6=426, Resulting Numbers: [426]
426,41 unequal: No Solution
Exploring Operation: 71+6=77, Resulting Numbers: [77]
77,41 unequal: No Solution
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[71, 76], Operations: ['35+6=41', '35+41=76']
Exploring Operation: 71+76=147, Resulting Numbers: [147]
147,41 unequal: No Solution
Exploring Operation: 71*76=5396, Resulting Numbers: [5396]
5396,41 unequal: No Solution
Exploring Operation: 76-71=5, Resulting Numbers: [5]
5,41 unequal: No Solution
Moving to Node #0,2,3
Current State: 41:[41, 106], Operations: ['35+6=41', '35+71=106']
Exploring Operation: 41+106=147, Resulting Numbers: [147]
147,41 unequal: No Solution
Exploring Operation: 106-41=65, Resulting Numbers: [65]
65,41 unequal: No Solution
Exploring Operation: 41*106=4346, Resulting Numbers: [4346]
4346,41 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 #0,4
Current State: 41:[35, 71, 41], Operations: ['35+6=41']
Exploring Operation: 71-35=36, Resulting Numbers: [41, 36]
Generated Node #0,4,0: 41:[41, 36] Operation: 71-35=36
Exploring Operation: 71-41=30, Resulting Numbers: [35, 30]
Generated Node #0,4,1: 41:[35, 30] Operation: 71-41=30
Exploring Operation: 35+41=76, Resulting Numbers: [71, 76]
Generated Node #0,4,2: 41:[71, 76] Operation: 35+41=76
Exploring Operation: 35+71=106, Resulting Numbers: [41, 106]
Generated Node #0,4,3: 41:[41, 106] Operation: 35+71=106
Exploring Operation: 41-35=6, Resulting Numbers: [71, 6]
Generated Node #0,4,4: 41:[71, 6] Operation: 41-35=6
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 41:[41, 36], Operations: ['35+6=41', '71-35=36']
Exploring Operation: 41+36=77, Resulting Numbers: [77]
77,41 unequal: No Solution
Exploring Operation: 41-36=5, Resulting Numbers: [5]
5,41 unequal: No Solution
Exploring Operation: 41*36=1476, Resulting Numbers: [1476]
1476,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 41:[35, 30], Operations: ['35+6=41', '71-41=30']
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,41 unequal: No Solution
Exploring Operation: 35+30=65, Resulting Numbers: [65]
65,41 unequal: No Solution
Exploring Operation: 35*30=1050, Resulting Numbers: [1050]
1050,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 41:[71, 76], Operations: ['35+6=41', '35+41=76']
Exploring Operation: 71*76=5396, Resulting Numbers: [5396]
5396,41 unequal: No Solution
Exploring Operation: 71+76=147, Resulting Numbers: [147]
147,41 unequal: No Solution
Exploring Operation: 76-71=5, Resulting Numbers: [5]
5,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 41:[41, 106], Operations: ['35+6=41', '35+71=106']
Exploring Operation: 41+106=147, Resulting Numbers: [147]
147,41 unequal: No Solution
Exploring Operation: 41*106=4346, Resulting Numbers: [4346]
4346,41 unequal: No Solution
Exploring Operation: 106-41=65, Resulting Numbers: [65]
65,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 41:[71, 6], Operations: ['35+6=41', '41-35=6']
Exploring Operation: 71*6=426, Resulting Numbers: [426]
426,41 unequal: No Solution
Exploring Operation: 71+6=77, Resulting Numbers: [77]
77,41 unequal: No Solution
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,41 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:[35, 6, 36], Operations: ['71-35=36']
Exploring Operation: 35+6=41, Resulting Numbers: [36, 41]
Generated Node #0,1,0: 41:[36, 41] Operation: 35+6=41
Exploring Operation: 36-6=30, Resulting Numbers: [35, 30]
Generated Node #0,1,1: 41:[35, 30] Operation: 36-6=30
Exploring Operation: 35-6=29, Resulting Numbers: [36, 29]
Generated Node #0,1,2: 41:[36, 29] Operation: 35-6=29
Exploring Operation: 36/6=6, Resulting Numbers: [35, 6]
Generated Node #0,1,3: 41:[35, 6] Operation: 36/6=6
Exploring Operation: 6+36=42, Resulting Numbers: [35, 42]
Generated Node #0,1,4: 41:[35, 42] Operation: 6+36=42
Moving to Node #0,1,0
Current State: 41:[36, 41], Operations: ['71-35=36', '35+6=41']
Exploring Operation: 36+41=77, Resulting Numbers: [77]
77,41 unequal: No Solution
Exploring Operation: 41-36=5, Resulting Numbers: [5]
5,41 unequal: No Solution
Exploring Operation: 36*41=1476, Resulting Numbers: [1476]
1476,41 unequal: No Solution
Moving to Node #0,1,4
Current State: 41:[35, 42], Operations: ['71-35=36', '6+36=42']
Exploring Operation: 35+42=77, Resulting Numbers: [77]
77,41 unequal: No Solution
Exploring Operation: 42-35=7, Resulting Numbers: [7]
7,41 unequal: No Solution
Exploring Operation: 35*42=1470, Resulting Numbers: [1470]
1470,41 unequal: No Solution
Moving to Node #0,1,1
Current State: 41:[35, 30], Operations: ['71-35=36', '36-6=30']
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,41 unequal: No Solution
Exploring Operation: 35+30=65, Resulting Numbers: [65]
65,41 unequal: No Solution
Exploring Operation: 35*30=1050, Resulting Numbers: [1050]
1050,41 unequal: No Solution
Moving to Node #0,1,2
Current State: 41:[36, 29], Operations: ['71-35=36', '35-6=29']
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,41 unequal: No Solution
Exploring Operation: 36+29=65, Resulting Numbers: [65]
65,41 unequal: No Solution
Exploring Operation: 36*29=1044, Resulting Numbers: [1044]
1044,41 unequal: No Solution
Moving to Node #0,1,3
Current State: 41:[35, 6], Operations: ['71-35=36', '36/6=6']
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[35, 35, 6, 71], Operations: []
Exploring Operation: 71-35=36, Resulting Numbers: [35, 6, 36]
Generated Node #0,1: 41:[35, 6, 36] Operation: 71-35=36
Moving to Node #0,1
Current State: 41:[35, 6, 36], Operations: ['71-35=36']
Exploring Operation: 36/6=6, Resulting Numbers: [35, 6]
Generated Node #0,1,3: 41:[35, 6] Operation: 36/6=6
Moving to Node #0,1,3
Current State: 41:[35, 6], Operations: ['71-35=36', '36/6=6']
Exploring Operation: 35+6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.923611 |
hs_5
|
mult_heuristic
|
[
32,
38,
20,
74
] | 48 |
[
"38-32=6",
"74-20=54",
"54-6=48"
] |
Current State: 48:[32, 38, 20, 74], Operations: []
Exploring Operation: 38-32=6, Resulting Numbers: [20, 74, 6]
Generated Node #2: [20, 74, 6] from Operation: 38-32=6
Current State: 48:[20, 74, 6], Operations: ['38-32=6']
Exploring Operation: 74-20=54, Resulting Numbers: [6, 54]
Generated Node #3: [6, 54] from Operation: 74-20=54
Current State: 48:[6, 54], Operations: ['38-32=6', '74-20=54']
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
Current State: 48:[32, 38, 20, 74], Operations: []
Exploring Operation: 74-38=36, Resulting Numbers: [32, 20, 36]
Generated Node #0,0: 48:[32, 20, 36] Operation: 74-38=36
Exploring Operation: 74-32=42, Resulting Numbers: [38, 20, 42]
Generated Node #0,1: 48:[38, 20, 42] Operation: 74-32=42
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[38, 20, 42], Operations: ['74-32=42']
Exploring Operation: 38-20=18, Resulting Numbers: [42, 18]
Generated Node #0,1,0: 48:[42, 18] Operation: 38-20=18
Exploring Operation: 42-38=4, Resulting Numbers: [20, 4]
Generated Node #0,1,1: 48:[20, 4] Operation: 42-38=4
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 48:[20, 4], Operations: ['74-32=42', '42-38=4']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,48 unequal: No Solution
No 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: 48:[42, 18], Operations: ['74-32=42', '38-20=18']
Exploring Operation: 42+18=60, Resulting Numbers: [60]
60,48 unequal: No Solution
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,48 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: 48:[32, 20, 36], Operations: ['74-38=36']
Exploring Operation: 36-20=16, Resulting Numbers: [32, 16]
Generated Node #0,0,0: 48:[32, 16] Operation: 36-20=16
Exploring Operation: 36-32=4, Resulting Numbers: [20, 4]
Generated Node #0,0,1: 48:[20, 4] Operation: 36-32=4
Moving to Node #0,0,1
Current State: 48:[20, 4], Operations: ['74-38=36', '36-32=4']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[32, 16], Operations: ['74-38=36', '36-20=16']
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 32+16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[32, 38, 20, 74], Operations: []
Exploring Operation: 74-38=36, Resulting Numbers: [32, 20, 36]
Generated Node #0,0: 48:[32, 20, 36] Operation: 74-38=36
Moving to Node #0,0
Current State: 48:[32, 20, 36], Operations: ['74-38=36']
Exploring Operation: 36-20=16, Resulting Numbers: [32, 16]
Generated Node #0,0,0: 48:[32, 16] Operation: 36-20=16
Moving to Node #0,0,0
Current State: 48:[32, 16], Operations: ['74-38=36', '36-20=16']
Exploring Operation: 32+16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 |
hs_2
|
mult_heuristic
|
[
8,
63,
44,
28
] | 49 |
[
"44-8=36",
"63*28=1764",
"1764/36=49"
] |
Current State: 49:[8, 63, 44, 28], Operations: []
Exploring Operation: 44-8=36, Resulting Numbers: [63, 28, 36]
Generated Node #2: [63, 28, 36] from Operation: 44-8=36
Current State: 49:[63, 28, 36], Operations: ['44-8=36']
Exploring Operation: 63*28=1764, Resulting Numbers: [36, 1764]
Generated Node #3: [36, 1764] from Operation: 63*28=1764
Current State: 49:[36, 1764], Operations: ['44-8=36', '63*28=1764']
Exploring Operation: 1764/36=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
Current State: 49:[8, 63, 44, 28], Operations: []
Exploring Operation: 28-8=20, Resulting Numbers: [63, 44, 20]
Generated Node #0,0: 49:[63, 44, 20] Operation: 28-8=20
Exploring Operation: 63-28=35, Resulting Numbers: [8, 44, 35]
Generated Node #0,1: 49:[8, 44, 35] Operation: 63-28=35
Exploring Operation: 63-8=55, Resulting Numbers: [44, 28, 55]
Generated Node #0,2: 49:[44, 28, 55] Operation: 63-8=55
Exploring Operation: 8+28=36, Resulting Numbers: [63, 44, 36]
Generated Node #0,3: 49:[63, 44, 36] Operation: 8+28=36
Exploring Operation: 44-28=16, Resulting Numbers: [8, 63, 16]
Generated Node #0,4: 49:[8, 63, 16] Operation: 44-28=16
Moving to Node #0,1
Current State: 49:[8, 44, 35], Operations: ['63-28=35']
Exploring Operation: 8+44=52, Resulting Numbers: [35, 52]
Generated Node #0,1,0: 49:[35, 52] Operation: 8+44=52
Exploring Operation: 44-8=36, Resulting Numbers: [35, 36]
Generated Node #0,1,1: 49:[35, 36] Operation: 44-8=36
Exploring Operation: 44-35=9, Resulting Numbers: [8, 9]
Generated Node #0,1,2: 49:[8, 9] Operation: 44-35=9
Exploring Operation: 8+35=43, Resulting Numbers: [44, 43]
Generated Node #0,1,3: 49:[44, 43] Operation: 8+35=43
Exploring Operation: 35-8=27, Resulting Numbers: [44, 27]
Generated Node #0,1,4: 49:[44, 27] Operation: 35-8=27
Moving to Node #0,4
Current State: 49:[8, 63, 16], Operations: ['44-28=16']
Exploring Operation: 16-8=8, Resulting Numbers: [63, 8]
Generated Node #0,4,0: 49:[63, 8] Operation: 16-8=8
Exploring Operation: 63-16=47, Resulting Numbers: [8, 47]
Generated Node #0,4,1: 49:[8, 47] Operation: 63-16=47
Exploring Operation: 8+63=71, Resulting Numbers: [16, 71]
Generated Node #0,4,2: 49:[16, 71] Operation: 8+63=71
Exploring Operation: 63-8=55, Resulting Numbers: [16, 55]
Generated Node #0,4,3: 49:[16, 55] Operation: 63-8=55
Exploring Operation: 16/8=2, Resulting Numbers: [63, 2]
Generated Node #0,4,4: 49:[63, 2] Operation: 16/8=2
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 49:[8, 47], Operations: ['44-28=16', '63-16=47']
Exploring Operation: 8+47=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Exploring Operation: 8*47=376, Resulting Numbers: [376]
376,49 unequal: No Solution
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 49:[63, 8], Operations: ['44-28=16', '16-8=8']
Exploring Operation: 63+8=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Exploring Operation: 63*8=504, Resulting Numbers: [504]
504,49 unequal: No Solution
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 49:[16, 55], Operations: ['44-28=16', '63-8=55']
Exploring Operation: 16+55=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Exploring Operation: 55-16=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 16*55=880, Resulting Numbers: [880]
880,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 49:[63, 2], Operations: ['44-28=16', '16/8=2']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,49 unequal: No Solution
Exploring Operation: 63*2=126, Resulting Numbers: [126]
126,49 unequal: No Solution
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 49:[16, 71], Operations: ['44-28=16', '8+63=71']
Exploring Operation: 71-16=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Exploring Operation: 16+71=87, Resulting Numbers: [87]
87,49 unequal: No Solution
Exploring Operation: 16*71=1136, Resulting Numbers: [1136]
1136,49 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: 49:[63, 44, 20], Operations: ['28-8=20']
Exploring Operation: 63-44=19, Resulting Numbers: [20, 19]
Generated Node #0,0,0: 49:[20, 19] Operation: 63-44=19
Exploring Operation: 63+20=83, Resulting Numbers: [44, 83]
Generated Node #0,0,1: 49:[44, 83] Operation: 63+20=83
Exploring Operation: 63-20=43, Resulting Numbers: [44, 43]
Generated Node #0,0,2: 49:[44, 43] Operation: 63-20=43
Exploring Operation: 44+20=64, Resulting Numbers: [63, 64]
Generated Node #0,0,3: 49:[63, 64] Operation: 44+20=64
Exploring Operation: 44-20=24, Resulting Numbers: [63, 24]
Generated Node #0,0,4: 49:[63, 24] Operation: 44-20=24
Moving to Node #0,2
Current State: 49:[44, 28, 55], Operations: ['63-8=55']
Exploring Operation: 55-28=27, Resulting Numbers: [44, 27]
Generated Node #0,2,0: 49:[44, 27] Operation: 55-28=27
Exploring Operation: 44-28=16, Resulting Numbers: [55, 16]
Generated Node #0,2,1: 49:[55, 16] Operation: 44-28=16
Exploring Operation: 44+28=72, Resulting Numbers: [55, 72]
Generated Node #0,2,2: 49:[55, 72] Operation: 44+28=72
Exploring Operation: 28+55=83, Resulting Numbers: [44, 83]
Generated Node #0,2,3: 49:[44, 83] Operation: 28+55=83
Exploring Operation: 55-44=11, Resulting Numbers: [28, 11]
Generated Node #0,2,4: 49:[28, 11] Operation: 55-44=11
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 49:[55, 16], Operations: ['63-8=55', '44-28=16']
Exploring Operation: 55*16=880, Resulting Numbers: [880]
880,49 unequal: No Solution
Exploring Operation: 55-16=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 55+16=71, Resulting Numbers: [71]
71,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 49:[44, 27], Operations: ['63-8=55', '55-28=27']
Exploring Operation: 44*27=1188, Resulting Numbers: [1188]
1188,49 unequal: No Solution
Exploring Operation: 44+27=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 49:[28, 11], Operations: ['63-8=55', '55-44=11']
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Exploring Operation: 28*11=308, Resulting Numbers: [308]
308,49 unequal: No Solution
Exploring Operation: 28+11=39, Resulting Numbers: [39]
39,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 49:[55, 72], Operations: ['63-8=55', '44+28=72']
Exploring Operation: 55*72=3960, Resulting Numbers: [3960]
3960,49 unequal: No Solution
Exploring Operation: 55+72=127, Resulting Numbers: [127]
127,49 unequal: No Solution
Exploring Operation: 72-55=17, Resulting Numbers: [17]
17,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 49:[44, 83], Operations: ['63-8=55', '28+55=83']
Exploring Operation: 44+83=127, Resulting Numbers: [127]
127,49 unequal: No Solution
Exploring Operation: 44*83=3652, Resulting Numbers: [3652]
3652,49 unequal: No Solution
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,49 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: 49:[63, 44, 36], Operations: ['8+28=36']
Exploring Operation: 63+36=99, Resulting Numbers: [44, 99]
Generated Node #0,3,0: 49:[44, 99] Operation: 63+36=99
Exploring Operation: 63-44=19, Resulting Numbers: [36, 19]
Generated Node #0,3,1: 49:[36, 19] Operation: 63-44=19
Exploring Operation: 63-36=27, Resulting Numbers: [44, 27]
Generated Node #0,3,2: 49:[44, 27] Operation: 63-36=27
Exploring Operation: 44+36=80, Resulting Numbers: [63, 80]
Generated Node #0,3,3: 49:[63, 80] Operation: 44+36=80
Exploring Operation: 44-36=8, Resulting Numbers: [63, 8]
Generated Node #0,3,4: 49:[63, 8] Operation: 44-36=8
Moving to Node #0,1,2
Current State: 49:[8, 9], Operations: ['63-28=35', '44-35=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,49 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Moving to Node #0,0,2
Current State: 49:[44, 43], Operations: ['28-8=20', '63-20=43']
Exploring Operation: 44-43=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Exploring Operation: 44+43=87, Resulting Numbers: [87]
87,49 unequal: No Solution
Exploring Operation: 44*43=1892, Resulting Numbers: [1892]
1892,49 unequal: No Solution
Moving to Node #0,1,3
Current State: 49:[44, 43], Operations: ['63-28=35', '8+35=43']
Exploring Operation: 44-43=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Exploring Operation: 44*43=1892, Resulting Numbers: [1892]
1892,49 unequal: No Solution
Exploring Operation: 44+43=87, Resulting Numbers: [87]
87,49 unequal: No Solution
Moving to Node #0,3,4
Current State: 49:[63, 8], Operations: ['8+28=36', '44-36=8']
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Exploring Operation: 63*8=504, Resulting Numbers: [504]
504,49 unequal: No Solution
Exploring Operation: 63+8=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[35, 52], Operations: ['63-28=35', '8+44=52']
Exploring Operation: 52-35=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Exploring Operation: 35+52=87, Resulting Numbers: [87]
87,49 unequal: No Solution
Exploring Operation: 35*52=1820, Resulting Numbers: [1820]
1820,49 unequal: No Solution
Moving to Node #0,0,0
Current State: 49:[20, 19], Operations: ['28-8=20', '63-44=19']
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,49 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Moving to Node #0,3,1
Current State: 49:[36, 19], Operations: ['8+28=36', '63-44=19']
Exploring Operation: 36*19=684, Resulting Numbers: [684]
684,49 unequal: No Solution
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Exploring Operation: 36+19=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Moving to Node #0,3,2
Current State: 49:[44, 27], Operations: ['8+28=36', '63-36=27']
Exploring Operation: 44*27=1188, Resulting Numbers: [1188]
1188,49 unequal: No Solution
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Exploring Operation: 44+27=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Moving to Node #0,1,4
Current State: 49:[44, 27], Operations: ['63-28=35', '35-8=27']
Exploring Operation: 44+27=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Exploring Operation: 44*27=1188, Resulting Numbers: [1188]
1188,49 unequal: No Solution
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[35, 36], Operations: ['63-28=35', '44-8=36']
Exploring Operation: 35+36=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Exploring Operation: 35*36=1260, Resulting Numbers: [1260]
1260,49 unequal: No Solution
Exploring Operation: 36-35=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Moving to Node #0,0,3
Current State: 49:[63, 64], Operations: ['28-8=20', '44+20=64']
Exploring Operation: 63+64=127, Resulting Numbers: [127]
127,49 unequal: No Solution
Exploring Operation: 63*64=4032, Resulting Numbers: [4032]
4032,49 unequal: No Solution
Exploring Operation: 64-63=1, Resulting Numbers: [1]
1,49 unequal: No Solution
Moving to Node #0,0,4
Current State: 49:[63, 24], Operations: ['28-8=20', '44-20=24']
Exploring Operation: 63-24=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 63+24=87, Resulting Numbers: [87]
87,49 unequal: No Solution
Exploring Operation: 63*24=1512, Resulting Numbers: [1512]
1512,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[44, 83], Operations: ['28-8=20', '63+20=83']
Exploring Operation: 44*83=3652, Resulting Numbers: [3652]
3652,49 unequal: No Solution
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 44+83=127, Resulting Numbers: [127]
127,49 unequal: No Solution
Moving to Node #0,3,3
Current State: 49:[63, 80], Operations: ['8+28=36', '44+36=80']
Exploring Operation: 63*80=5040, Resulting Numbers: [5040]
5040,49 unequal: No Solution
Exploring Operation: 63+80=143, Resulting Numbers: [143]
143,49 unequal: No Solution
Exploring Operation: 80-63=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Moving to Node #0,3,0
Current State: 49:[44, 99], Operations: ['8+28=36', '63+36=99']
Exploring Operation: 44*99=4356, Resulting Numbers: [4356]
4356,49 unequal: No Solution
Exploring Operation: 44+99=143, Resulting Numbers: [143]
143,49 unequal: No Solution
Exploring Operation: 99-44=55, Resulting Numbers: [55]
55,49 unequal: No Solution
No solution found.
| 0 |
hs_5
|
mult_heuristic
|
[
22,
3,
67,
2
] | 59 |
[
"22+2=24",
"24/3=8",
"67-8=59"
] |
Current State: 59:[22, 3, 67, 2], Operations: []
Exploring Operation: 22+2=24, Resulting Numbers: [3, 67, 24]
Generated Node #2: [3, 67, 24] from Operation: 22+2=24
Current State: 59:[3, 67, 24], Operations: ['22+2=24']
Exploring Operation: 24/3=8, Resulting Numbers: [67, 8]
Generated Node #3: [67, 8] from Operation: 24/3=8
Current State: 59:[67, 8], Operations: ['22+2=24', '24/3=8']
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
Current State: 59:[22, 3, 67, 2], Operations: []
Exploring Operation: 22*3=66, Resulting Numbers: [67, 2, 66]
Generated Node #0,0: 59:[67, 2, 66] Operation: 22*3=66
Exploring Operation: 22*2=44, Resulting Numbers: [3, 67, 44]
Generated Node #0,1: 59:[3, 67, 44] Operation: 22*2=44
Exploring Operation: 22+2=24, Resulting Numbers: [3, 67, 24]
Generated Node #0,2: 59:[3, 67, 24] Operation: 22+2=24
Exploring Operation: 22+3=25, Resulting Numbers: [67, 2, 25]
Generated Node #0,3: 59:[67, 2, 25] Operation: 22+3=25
Exploring Operation: 3*2=6, Resulting Numbers: [22, 67, 6]
Generated Node #0,4: 59:[22, 67, 6] Operation: 3*2=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[67, 2, 66], Operations: ['22*3=66']
Exploring Operation: 67+2=69, Resulting Numbers: [66, 69]
Generated Node #0,0,0: 59:[66, 69] Operation: 67+2=69
Exploring Operation: 66/2=33, Resulting Numbers: [67, 33]
Generated Node #0,0,1: 59:[67, 33] Operation: 66/2=33
Exploring Operation: 2+66=68, Resulting Numbers: [67, 68]
Generated Node #0,0,2: 59:[67, 68] Operation: 2+66=68
Exploring Operation: 67-2=65, Resulting Numbers: [66, 65]
Generated Node #0,0,3: 59:[66, 65] Operation: 67-2=65
Exploring Operation: 66-2=64, Resulting Numbers: [67, 64]
Generated Node #0,0,4: 59:[67, 64] Operation: 66-2=64
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 59:[66, 65], Operations: ['22*3=66', '67-2=65']
Exploring Operation: 66-65=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 66*65=4290, Resulting Numbers: [4290]
4290,59 unequal: No Solution
Exploring Operation: 66+65=131, Resulting Numbers: [131]
131,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 59:[67, 64], Operations: ['22*3=66', '66-2=64']
Exploring Operation: 67-64=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 67+64=131, Resulting Numbers: [131]
131,59 unequal: No Solution
Exploring Operation: 67*64=4288, Resulting Numbers: [4288]
4288,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[66, 69], Operations: ['22*3=66', '67+2=69']
Exploring Operation: 69-66=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 66+69=135, Resulting Numbers: [135]
135,59 unequal: No Solution
Exploring Operation: 66*69=4554, Resulting Numbers: [4554]
4554,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 59:[67, 68], Operations: ['22*3=66', '2+66=68']
Exploring Operation: 68-67=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Exploring Operation: 67*68=4556, Resulting Numbers: [4556]
4556,59 unequal: No Solution
Exploring Operation: 67+68=135, Resulting Numbers: [135]
135,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 59:[67, 33], Operations: ['22*3=66', '66/2=33']
Exploring Operation: 67*33=2211, Resulting Numbers: [2211]
2211,59 unequal: No Solution
Exploring Operation: 67-33=34, Resulting Numbers: [34]
34,59 unequal: No Solution
Exploring Operation: 67+33=100, Resulting Numbers: [100]
100,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[3, 67, 44], Operations: ['22*2=44']
Exploring Operation: 3+44=47, Resulting Numbers: [67, 47]
Generated Node #0,1,0: 59:[67, 47] Operation: 3+44=47
Exploring Operation: 3*44=132, Resulting Numbers: [67, 132]
Generated Node #0,1,1: 59:[67, 132] Operation: 3*44=132
Exploring Operation: 3+67=70, Resulting Numbers: [44, 70]
Generated Node #0,1,2: 59:[44, 70] Operation: 3+67=70
Exploring Operation: 44-3=41, Resulting Numbers: [67, 41]
Generated Node #0,1,3: 59:[67, 41] Operation: 44-3=41
Exploring Operation: 67-3=64, Resulting Numbers: [44, 64]
Generated Node #0,1,4: 59:[44, 64] Operation: 67-3=64
Moving to Node #0,1,0
Current State: 59:[67, 47], Operations: ['22*2=44', '3+44=47']
Exploring Operation: 67+47=114, Resulting Numbers: [114]
114,59 unequal: No Solution
Exploring Operation: 67*47=3149, Resulting Numbers: [3149]
3149,59 unequal: No Solution
Exploring Operation: 67-47=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Moving to Node #0,1,4
Current State: 59:[44, 64], Operations: ['22*2=44', '67-3=64']
Exploring Operation: 64-44=20, Resulting Numbers: [20]
20,59 unequal: No Solution
Exploring Operation: 44+64=108, Resulting Numbers: [108]
108,59 unequal: No Solution
Exploring Operation: 44*64=2816, Resulting Numbers: [2816]
2816,59 unequal: No Solution
Moving to Node #0,1,2
Current State: 59:[44, 70], Operations: ['22*2=44', '3+67=70']
Exploring Operation: 70-44=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Exploring Operation: 44*70=3080, Resulting Numbers: [3080]
3080,59 unequal: No Solution
Exploring Operation: 44+70=114, Resulting Numbers: [114]
114,59 unequal: No Solution
Moving to Node #0,1,3
Current State: 59:[67, 41], Operations: ['22*2=44', '44-3=41']
Exploring Operation: 67-41=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Exploring Operation: 67*41=2747, Resulting Numbers: [2747]
2747,59 unequal: No Solution
Exploring Operation: 67+41=108, Resulting Numbers: [108]
108,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[67, 132], Operations: ['22*2=44', '3*44=132']
Exploring Operation: 67+132=199, Resulting Numbers: [199]
199,59 unequal: No Solution
Exploring Operation: 67*132=8844, Resulting Numbers: [8844]
8844,59 unequal: No Solution
Exploring Operation: 132-67=65, Resulting Numbers: [65]
65,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 59:[22, 67, 6], Operations: ['3*2=6']
Exploring Operation: 67-6=61, Resulting Numbers: [22, 61]
Generated Node #0,4,0: 59:[22, 61] Operation: 67-6=61
Exploring Operation: 67-22=45, Resulting Numbers: [6, 45]
Generated Node #0,4,1: 59:[6, 45] Operation: 67-22=45
Exploring Operation: 22-6=16, Resulting Numbers: [67, 16]
Generated Node #0,4,2: 59:[67, 16] Operation: 22-6=16
Exploring Operation: 22+6=28, Resulting Numbers: [67, 28]
Generated Node #0,4,3: 59:[67, 28] Operation: 22+6=28
Exploring Operation: 67+6=73, Resulting Numbers: [22, 73]
Generated Node #0,4,4: 59:[22, 73] Operation: 67+6=73
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 59:[22, 61], Operations: ['3*2=6', '67-6=61']
Exploring Operation: 61-22=39, Resulting Numbers: [39]
39,59 unequal: No Solution
Exploring Operation: 22+61=83, Resulting Numbers: [83]
83,59 unequal: No Solution
Exploring Operation: 22*61=1342, Resulting Numbers: [1342]
1342,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 59:[67, 28], Operations: ['3*2=6', '22+6=28']
Exploring Operation: 67-28=39, Resulting Numbers: [39]
39,59 unequal: No Solution
Exploring Operation: 67*28=1876, Resulting Numbers: [1876]
1876,59 unequal: No Solution
Exploring Operation: 67+28=95, Resulting Numbers: [95]
95,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 59:[67, 16], Operations: ['3*2=6', '22-6=16']
Exploring Operation: 67*16=1072, Resulting Numbers: [1072]
1072,59 unequal: No Solution
Exploring Operation: 67+16=83, Resulting Numbers: [83]
83,59 unequal: No Solution
Exploring Operation: 67-16=51, Resulting Numbers: [51]
51,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 59:[22, 73], Operations: ['3*2=6', '67+6=73']
Exploring Operation: 73-22=51, Resulting Numbers: [51]
51,59 unequal: No Solution
Exploring Operation: 22+73=95, Resulting Numbers: [95]
95,59 unequal: No Solution
Exploring Operation: 22*73=1606, Resulting Numbers: [1606]
1606,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 59:[6, 45], Operations: ['3*2=6', '67-22=45']
Exploring Operation: 6*45=270, Resulting Numbers: [270]
270,59 unequal: No Solution
Exploring Operation: 6+45=51, Resulting Numbers: [51]
51,59 unequal: No Solution
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 59:[3, 67, 24], Operations: ['22+2=24']
Exploring Operation: 24-3=21, Resulting Numbers: [67, 21]
Generated Node #0,2,0: 59:[67, 21] Operation: 24-3=21
Exploring Operation: 3*24=72, Resulting Numbers: [67, 72]
Generated Node #0,2,1: 59:[67, 72] Operation: 3*24=72
Exploring Operation: 3+67=70, Resulting Numbers: [24, 70]
Generated Node #0,2,2: 59:[24, 70] Operation: 3+67=70
Exploring Operation: 3+24=27, Resulting Numbers: [67, 27]
Generated Node #0,2,3: 59:[67, 27] Operation: 3+24=27
Exploring Operation: 67-3=64, Resulting Numbers: [24, 64]
Generated Node #0,2,4: 59:[24, 64] Operation: 67-3=64
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 59:[67, 72], Operations: ['22+2=24', '3*24=72']
Exploring Operation: 72-67=5, Resulting Numbers: [5]
5,59 unequal: No Solution
Exploring Operation: 67*72=4824, Resulting Numbers: [4824]
4824,59 unequal: No Solution
Exploring Operation: 67+72=139, Resulting Numbers: [139]
139,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 59:[67, 27], Operations: ['22+2=24', '3+24=27']
Exploring Operation: 67-27=40, Resulting Numbers: [40]
40,59 unequal: No Solution
Exploring Operation: 67*27=1809, Resulting Numbers: [1809]
1809,59 unequal: No Solution
Exploring Operation: 67+27=94, Resulting Numbers: [94]
94,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 59:[24, 64], Operations: ['22+2=24', '67-3=64']
Exploring Operation: 64-24=40, Resulting Numbers: [40]
40,59 unequal: No Solution
Exploring Operation: 24+64=88, Resulting Numbers: [88]
88,59 unequal: No Solution
Exploring Operation: 24*64=1536, Resulting Numbers: [1536]
1536,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 59:[67, 21], Operations: ['22+2=24', '24-3=21']
Exploring Operation: 67-21=46, Resulting Numbers: [46]
46,59 unequal: No Solution
Exploring Operation: 67*21=1407, Resulting Numbers: [1407]
1407,59 unequal: No Solution
Exploring Operation: 67+21=88, Resulting Numbers: [88]
88,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 59:[24, 70], Operations: ['22+2=24', '3+67=70']
Exploring Operation: 24*70=1680, Resulting Numbers: [1680]
1680,59 unequal: No Solution
Exploring Operation: 24+70=94, Resulting Numbers: [94]
94,59 unequal: No Solution
Exploring Operation: 70-24=46, Resulting Numbers: [46]
46,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 59:[67, 2, 25], Operations: ['22+3=25']
Exploring Operation: 25-2=23, Resulting Numbers: [67, 23]
Generated Node #0,3,0: 59:[67, 23] Operation: 25-2=23
Exploring Operation: 2*25=50, Resulting Numbers: [67, 50]
Generated Node #0,3,1: 59:[67, 50] Operation: 2*25=50
Exploring Operation: 2+25=27, Resulting Numbers: [67, 27]
Generated Node #0,3,2: 59:[67, 27] Operation: 2+25=27
Exploring Operation: 67+2=69, Resulting Numbers: [25, 69]
Generated Node #0,3,3: 59:[25, 69] Operation: 67+2=69
Exploring Operation: 67-2=65, Resulting Numbers: [25, 65]
Generated Node #0,3,4: 59:[25, 65] Operation: 67-2=65
Moving to Node #0,3,1
Current State: 59:[67, 50], Operations: ['22+3=25', '2*25=50']
Exploring Operation: 67-50=17, Resulting Numbers: [17]
17,59 unequal: No Solution
Exploring Operation: 67*50=3350, Resulting Numbers: [3350]
3350,59 unequal: No Solution
Exploring Operation: 67+50=117, Resulting Numbers: [117]
117,59 unequal: No Solution
Moving to Node #0,3,4
Current State: 59:[25, 65], Operations: ['22+3=25', '67-2=65']
Exploring Operation: 25+65=90, Resulting Numbers: [90]
90,59 unequal: No Solution
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,59 unequal: No Solution
Exploring Operation: 25*65=1625, Resulting Numbers: [1625]
1625,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[67, 27], Operations: ['22+3=25', '2+25=27']
Exploring Operation: 67*27=1809, Resulting Numbers: [1809]
1809,59 unequal: No Solution
Exploring Operation: 67+27=94, Resulting Numbers: [94]
94,59 unequal: No Solution
Exploring Operation: 67-27=40, Resulting Numbers: [40]
40,59 unequal: No Solution
Moving to Node #0,3,0
Current State: 59:[67, 23], Operations: ['22+3=25', '25-2=23']
Exploring Operation: 67*23=1541, Resulting Numbers: [1541]
1541,59 unequal: No Solution
Exploring Operation: 67+23=90, Resulting Numbers: [90]
90,59 unequal: No Solution
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[25, 69], Operations: ['22+3=25', '67+2=69']
Exploring Operation: 25*69=1725, Resulting Numbers: [1725]
1725,59 unequal: No Solution
Exploring Operation: 25+69=94, Resulting Numbers: [94]
94,59 unequal: No Solution
Exploring Operation: 69-25=44, Resulting Numbers: [44]
44,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
28,
3,
4,
39
] | 12 |
[
"28+3=31",
"4+39=43",
"43-31=12"
] |
Current State: 12:[28, 3, 4, 39], Operations: []
Exploring Operation: 28+3=31, Resulting Numbers: [4, 39, 31]
Generated Node #2: [4, 39, 31] from Operation: 28+3=31
Current State: 12:[4, 39, 31], Operations: ['28+3=31']
Exploring Operation: 4+39=43, Resulting Numbers: [31, 43]
Generated Node #3: [31, 43] from Operation: 4+39=43
Current State: 12:[31, 43], Operations: ['28+3=31', '4+39=43']
Exploring Operation: 43-31=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
Current State: 12:[28, 3, 4, 39], Operations: []
Exploring Operation: 28/4=7, Resulting Numbers: [3, 39, 7]
Generated Node #0,0: 12:[3, 39, 7] Operation: 28/4=7
Exploring Operation: 39-28=11, Resulting Numbers: [3, 4, 11]
Generated Node #0,1: 12:[3, 4, 11] Operation: 39-28=11
Exploring Operation: 39/3=13, Resulting Numbers: [28, 4, 13]
Generated Node #0,2: 12:[28, 4, 13] Operation: 39/3=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[3, 4, 11], Operations: ['39-28=11']
Exploring Operation: 11-4=7, Resulting Numbers: [3, 7]
Generated Node #0,1,0: 12:[3, 7] Operation: 11-4=7
Exploring Operation: 3+4=7, Resulting Numbers: [11, 7]
Generated Node #0,1,1: 12:[11, 7] Operation: 3+4=7
Exploring Operation: 3*4=12, Resulting Numbers: [11, 12]
Generated Node #0,1,2: 12:[11, 12] Operation: 3*4=12
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 12:[3, 7], Operations: ['39-28=11', '11-4=7']
Exploring Operation: 3*7=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Exploring Operation: 3+7=10, Resulting Numbers: [10]
10,12 unequal: No Solution
No 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: 12:[11, 12], Operations: ['39-28=11', '3*4=12']
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,12 unequal: No Solution
Exploring Operation: 11+12=23, Resulting Numbers: [23]
23,12 unequal: No Solution
Exploring Operation: 11*12=132, Resulting Numbers: [132]
132,12 unequal: No Solution
No 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: 12:[11, 7], Operations: ['39-28=11', '3+4=7']
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,12 unequal: No Solution
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,12 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: 12:[28, 4, 13], Operations: ['39/3=13']
Exploring Operation: 28-13=15, Resulting Numbers: [4, 15]
Generated Node #0,2,0: 12:[4, 15] Operation: 28-13=15
Exploring Operation: 28/4=7, Resulting Numbers: [13, 7]
Generated Node #0,2,1: 12:[13, 7] Operation: 28/4=7
Exploring Operation: 28-4=24, Resulting Numbers: [13, 24]
Generated Node #0,2,2: 12:[13, 24] Operation: 28-4=24
Moving to Node #0,2,1
Current State: 12:[13, 7], Operations: ['39/3=13', '28/4=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,12 unequal: No Solution
Exploring Operation: 13+7=20, Resulting Numbers: [20]
20,12 unequal: No Solution
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Moving to Node #0,2,0
Current State: 12:[4, 15], Operations: ['39/3=13', '28-13=15']
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,12 unequal: No Solution
Moving to Node #0,2,2
Current State: 12:[13, 24], Operations: ['39/3=13', '28-4=24']
Exploring Operation: 13+24=37, Resulting Numbers: [37]
37,12 unequal: No Solution
Exploring Operation: 13*24=312, Resulting Numbers: [312]
312,12 unequal: No Solution
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,12 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:[3, 39, 7], Operations: ['28/4=7']
Exploring Operation: 39-7=32, Resulting Numbers: [3, 32]
Generated Node #0,0,0: 12:[3, 32] Operation: 39-7=32
Exploring Operation: 39-3=36, Resulting Numbers: [7, 36]
Generated Node #0,0,1: 12:[7, 36] Operation: 39-3=36
Exploring Operation: 39/3=13, Resulting Numbers: [7, 13]
Generated Node #0,0,2: 12:[7, 13] Operation: 39/3=13
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 12:[7, 13], Operations: ['28/4=7', '39/3=13']
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,12 unequal: No Solution
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,12 unequal: No Solution
No 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: 12:[3, 32], Operations: ['28/4=7', '39-7=32']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,12 unequal: No Solution
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,12 unequal: No Solution
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,12 unequal: No Solution
No 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: 12:[7, 36], Operations: ['28/4=7', '39-3=36']
Exploring Operation: 7*36=252, Resulting Numbers: [252]
252,12 unequal: No Solution
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,12 unequal: No Solution
Exploring Operation: 7+36=43, Resulting Numbers: [43]
43,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
2,
88,
29,
91
] | 27 |
[
"88-29=59",
"2*59=118",
"118-91=27"
] |
Current State: 27:[2, 88, 29, 91], Operations: []
Exploring Operation: 88-29=59, Resulting Numbers: [2, 91, 59]
Generated Node #2: [2, 91, 59] from Operation: 88-29=59
Current State: 27:[2, 91, 59], Operations: ['88-29=59']
Exploring Operation: 2*59=118, Resulting Numbers: [91, 118]
Generated Node #3: [91, 118] from Operation: 2*59=118
Current State: 27:[91, 118], Operations: ['88-29=59', '2*59=118']
Exploring Operation: 118-91=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
Current State: 27:[2, 88, 29, 91], Operations: []
Exploring Operation: 88/2=44, Resulting Numbers: [29, 91, 44]
Generated Node #0,0: 27:[29, 91, 44] Operation: 88/2=44
Exploring Operation: 88-29=59, Resulting Numbers: [2, 91, 59]
Generated Node #0,1: 27:[2, 91, 59] Operation: 88-29=59
Exploring Operation: 91-88=3, Resulting Numbers: [2, 29, 3]
Generated Node #0,2: 27:[2, 29, 3] Operation: 91-88=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 27:[2, 29, 3], Operations: ['91-88=3']
Exploring Operation: 2+29=31, Resulting Numbers: [3, 31]
Generated Node #0,2,0: 27:[3, 31] Operation: 2+29=31
Exploring Operation: 29-3=26, Resulting Numbers: [2, 26]
Generated Node #0,2,1: 27:[2, 26] Operation: 29-3=26
Exploring Operation: 29-2=27, Resulting Numbers: [3, 27]
Generated Node #0,2,2: 27:[3, 27] Operation: 29-2=27
Moving to Node #0,2,2
Current State: 27:[3, 27], Operations: ['91-88=3', '29-2=27']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,27 unequal: No Solution
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,27 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,27 unequal: No Solution
Moving to Node #0,2,1
Current State: 27:[2, 26], Operations: ['91-88=3', '29-3=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,27 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,27 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,27 unequal: No Solution
Moving to Node #0,2,0
Current State: 27:[3, 31], Operations: ['91-88=3', '2+29=31']
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,27 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,27 unequal: No Solution
Exploring Operation: 3+31=34, Resulting Numbers: [34]
34,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[29, 91, 44], Operations: ['88/2=44']
Exploring Operation: 91-29=62, Resulting Numbers: [44, 62]
Generated Node #0,0,0: 27:[44, 62] Operation: 91-29=62
Exploring Operation: 44-29=15, Resulting Numbers: [91, 15]
Generated Node #0,0,1: 27:[91, 15] Operation: 44-29=15
Exploring Operation: 91-44=47, Resulting Numbers: [29, 47]
Generated Node #0,0,2: 27:[29, 47] Operation: 91-44=47
Moving to Node #0,0,2
Current State: 27:[29, 47], Operations: ['88/2=44', '91-44=47']
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,27 unequal: No Solution
Exploring Operation: 29+47=76, Resulting Numbers: [76]
76,27 unequal: No Solution
Exploring Operation: 29*47=1363, Resulting Numbers: [1363]
1363,27 unequal: No Solution
Moving to Node #0,0,0
Current State: 27:[44, 62], Operations: ['88/2=44', '91-29=62']
Exploring Operation: 44*62=2728, Resulting Numbers: [2728]
2728,27 unequal: No Solution
Exploring Operation: 44+62=106, Resulting Numbers: [106]
106,27 unequal: No Solution
Exploring Operation: 62-44=18, Resulting Numbers: [18]
18,27 unequal: No Solution
Moving to Node #0,0,1
Current State: 27:[91, 15], Operations: ['88/2=44', '44-29=15']
Exploring Operation: 91-15=76, Resulting Numbers: [76]
76,27 unequal: No Solution
Exploring Operation: 91+15=106, Resulting Numbers: [106]
106,27 unequal: No Solution
Exploring Operation: 91*15=1365, Resulting Numbers: [1365]
1365,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[2, 91, 59], Operations: ['88-29=59']
Exploring Operation: 91-59=32, Resulting Numbers: [2, 32]
Generated Node #0,1,0: 27:[2, 32] Operation: 91-59=32
Exploring Operation: 91-2=89, Resulting Numbers: [59, 89]
Generated Node #0,1,1: 27:[59, 89] Operation: 91-2=89
Exploring Operation: 59-2=57, Resulting Numbers: [91, 57]
Generated Node #0,1,2: 27:[91, 57] Operation: 59-2=57
Moving to Node #0,1,0
Current State: 27:[2, 32], Operations: ['88-29=59', '91-59=32']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,27 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,27 unequal: No Solution
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,27 unequal: No Solution
Moving to Node #0,1,1
Current State: 27:[59, 89], Operations: ['88-29=59', '91-2=89']
Exploring Operation: 59+89=148, Resulting Numbers: [148]
148,27 unequal: No Solution
Exploring Operation: 59*89=5251, Resulting Numbers: [5251]
5251,27 unequal: No Solution
Exploring Operation: 89-59=30, Resulting Numbers: [30]
30,27 unequal: No Solution
Moving to Node #0,1,2
Current State: 27:[91, 57], Operations: ['88-29=59', '59-2=57']
Exploring Operation: 91-57=34, Resulting Numbers: [34]
34,27 unequal: No Solution
Exploring Operation: 91*57=5187, Resulting Numbers: [5187]
5187,27 unequal: No Solution
Exploring Operation: 91+57=148, Resulting Numbers: [148]
148,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
63,
4,
68,
9
] | 37 |
[
"63-9=54",
"68/4=17",
"54-17=37"
] |
Current State: 37:[63, 4, 68, 9], Operations: []
Exploring Operation: 63-9=54, Resulting Numbers: [4, 68, 54]
Generated Node #2: [4, 68, 54] from Operation: 63-9=54
Current State: 37:[4, 68, 54], Operations: ['63-9=54']
Exploring Operation: 68/4=17, Resulting Numbers: [54, 17]
Generated Node #3: [54, 17] from Operation: 68/4=17
Current State: 37:[54, 17], Operations: ['63-9=54', '68/4=17']
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
Current State: 37:[63, 4, 68, 9], Operations: []
Exploring Operation: 4*9=36, Resulting Numbers: [63, 68, 36]
Generated Node #0,0: 37:[63, 68, 36] Operation: 4*9=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[63, 68, 36], Operations: ['4*9=36']
Exploring Operation: 68-36=32, Resulting Numbers: [63, 32]
Generated Node #0,0,0: 37:[63, 32] Operation: 68-36=32
Moving to Node #0,0,0
Current State: 37:[63, 32], Operations: ['4*9=36', '68-36=32']
Exploring Operation: 63-32=31, Resulting Numbers: [31]
31,37 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
|
[
12,
16,
91,
66
] | 36 |
[
"12*91=1092",
"16*66=1056",
"1092-1056=36"
] |
Current State: 36:[12, 16, 91, 66], Operations: []
Exploring Operation: 12*91=1092, Resulting Numbers: [16, 66, 1092]
Generated Node #2: [16, 66, 1092] from Operation: 12*91=1092
Current State: 36:[16, 66, 1092], Operations: ['12*91=1092']
Exploring Operation: 16*66=1056, Resulting Numbers: [1092, 1056]
Generated Node #3: [1092, 1056] from Operation: 16*66=1056
Current State: 36:[1092, 1056], Operations: ['12*91=1092', '16*66=1056']
Exploring Operation: 1092-1056=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
Current State: 36:[12, 16, 91, 66], Operations: []
Exploring Operation: 91-66=25, Resulting Numbers: [12, 16, 25]
Generated Node #0,0: 36:[12, 16, 25] Operation: 91-66=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[12, 16, 25], Operations: ['91-66=25']
Exploring Operation: 25-16=9, Resulting Numbers: [12, 9]
Generated Node #0,0,0: 36:[12, 9] Operation: 25-16=9
Moving to Node #0,0,0
Current State: 36:[12, 9], Operations: ['91-66=25', '25-16=9']
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,36 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
|
[
40,
95,
35,
36
] | 17 |
[
"40-35=5",
"95/5=19",
"36-19=17"
] |
Current State: 17:[40, 95, 35, 36], Operations: []
Exploring Operation: 40-35=5, Resulting Numbers: [95, 36, 5]
Generated Node #2: [95, 36, 5] from Operation: 40-35=5
Current State: 17:[95, 36, 5], Operations: ['40-35=5']
Exploring Operation: 95/5=19, Resulting Numbers: [36, 19]
Generated Node #3: [36, 19] from Operation: 95/5=19
Current State: 17:[36, 19], Operations: ['40-35=5', '95/5=19']
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
Current State: 17:[40, 95, 35, 36], Operations: []
Exploring Operation: 95-36=59, Resulting Numbers: [40, 35, 59]
Generated Node #0,0: 17:[40, 35, 59] Operation: 95-36=59
Exploring Operation: 95-40=55, Resulting Numbers: [35, 36, 55]
Generated Node #0,1: 17:[35, 36, 55] Operation: 95-40=55
Exploring Operation: 95-35=60, Resulting Numbers: [40, 36, 60]
Generated Node #0,2: 17:[40, 36, 60] Operation: 95-35=60
Exploring Operation: 40-36=4, Resulting Numbers: [95, 35, 4]
Generated Node #0,3: 17:[95, 35, 4] Operation: 40-36=4
Exploring Operation: 40-35=5, Resulting Numbers: [95, 36, 5]
Generated Node #0,4: 17:[95, 36, 5] Operation: 40-35=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[35, 36, 55], Operations: ['95-40=55']
Exploring Operation: 55-35=20, Resulting Numbers: [36, 20]
Generated Node #0,1,0: 17:[36, 20] Operation: 55-35=20
Exploring Operation: 36-35=1, Resulting Numbers: [55, 1]
Generated Node #0,1,1: 17:[55, 1] Operation: 36-35=1
Exploring Operation: 35+55=90, Resulting Numbers: [36, 90]
Generated Node #0,1,2: 17:[36, 90] Operation: 35+55=90
Exploring Operation: 55-36=19, Resulting Numbers: [35, 19]
Generated Node #0,1,3: 17:[35, 19] Operation: 55-36=19
Exploring Operation: 35+36=71, Resulting Numbers: [55, 71]
Generated Node #0,1,4: 17:[55, 71] Operation: 35+36=71
Moving to Node #0,1,3
Current State: 17:[35, 19], Operations: ['95-40=55', '55-36=19']
Exploring Operation: 35*19=665, Resulting Numbers: [665]
665,17 unequal: No Solution
Exploring Operation: 35+19=54, Resulting Numbers: [54]
54,17 unequal: No Solution
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Moving to Node #0,1,0
Current State: 17:[36, 20], Operations: ['95-40=55', '55-35=20']
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 36+20=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 36*20=720, Resulting Numbers: [720]
720,17 unequal: No Solution
Moving to Node #0,1,1
Current State: 17:[55, 1], Operations: ['95-40=55', '36-35=1']
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,17 unequal: No Solution
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,17 unequal: No Solution
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,17 unequal: No Solution
Moving to Node #0,1,2
Current State: 17:[36, 90], Operations: ['95-40=55', '35+55=90']
Exploring Operation: 36*90=3240, Resulting Numbers: [3240]
3240,17 unequal: No Solution
Exploring Operation: 36+90=126, Resulting Numbers: [126]
126,17 unequal: No Solution
Exploring Operation: 90-36=54, Resulting Numbers: [54]
54,17 unequal: No Solution
Moving to Node #0,1,4
Current State: 17:[55, 71], Operations: ['95-40=55', '35+36=71']
Exploring Operation: 71-55=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 55*71=3905, Resulting Numbers: [3905]
3905,17 unequal: No Solution
Exploring Operation: 55+71=126, Resulting Numbers: [126]
126,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[40, 35, 59], Operations: ['95-36=59']
Exploring Operation: 40+35=75, Resulting Numbers: [59, 75]
Generated Node #0,0,0: 17:[59, 75] Operation: 40+35=75
Exploring Operation: 59-35=24, Resulting Numbers: [40, 24]
Generated Node #0,0,1: 17:[40, 24] Operation: 59-35=24
Exploring Operation: 40-35=5, Resulting Numbers: [59, 5]
Generated Node #0,0,2: 17:[59, 5] Operation: 40-35=5
Exploring Operation: 40+59=99, Resulting Numbers: [35, 99]
Generated Node #0,0,3: 17:[35, 99] Operation: 40+59=99
Exploring Operation: 59-40=19, Resulting Numbers: [35, 19]
Generated Node #0,0,4: 17:[35, 19] Operation: 59-40=19
Moving to Node #0,0,4
Current State: 17:[35, 19], Operations: ['95-36=59', '59-40=19']
Exploring Operation: 35*19=665, Resulting Numbers: [665]
665,17 unequal: No Solution
Exploring Operation: 35+19=54, Resulting Numbers: [54]
54,17 unequal: No Solution
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Moving to Node #0,0,1
Current State: 17:[40, 24], Operations: ['95-36=59', '59-35=24']
Exploring Operation: 40*24=960, Resulting Numbers: [960]
960,17 unequal: No Solution
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 40+24=64, Resulting Numbers: [64]
64,17 unequal: No Solution
Moving to Node #0,0,2
Current State: 17:[59, 5], Operations: ['95-36=59', '40-35=5']
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,17 unequal: No Solution
Exploring Operation: 59*5=295, Resulting Numbers: [295]
295,17 unequal: No Solution
Exploring Operation: 59+5=64, Resulting Numbers: [64]
64,17 unequal: No Solution
Moving to Node #0,0,0
Current State: 17:[59, 75], Operations: ['95-36=59', '40+35=75']
Exploring Operation: 59*75=4425, Resulting Numbers: [4425]
4425,17 unequal: No Solution
Exploring Operation: 75-59=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 59+75=134, Resulting Numbers: [134]
134,17 unequal: No Solution
Moving to Node #0,0,3
Current State: 17:[35, 99], Operations: ['95-36=59', '40+59=99']
Exploring Operation: 35+99=134, Resulting Numbers: [134]
134,17 unequal: No Solution
Exploring Operation: 35*99=3465, Resulting Numbers: [3465]
3465,17 unequal: No Solution
Exploring Operation: 99-35=64, Resulting Numbers: [64]
64,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[40, 36, 60], Operations: ['95-35=60']
Exploring Operation: 60-36=24, Resulting Numbers: [40, 24]
Generated Node #0,2,0: 17:[40, 24] Operation: 60-36=24
Exploring Operation: 40+60=100, Resulting Numbers: [36, 100]
Generated Node #0,2,1: 17:[36, 100] Operation: 40+60=100
Exploring Operation: 40-36=4, Resulting Numbers: [60, 4]
Generated Node #0,2,2: 17:[60, 4] Operation: 40-36=4
Exploring Operation: 60-40=20, Resulting Numbers: [36, 20]
Generated Node #0,2,3: 17:[36, 20] Operation: 60-40=20
Exploring Operation: 40+36=76, Resulting Numbers: [60, 76]
Generated Node #0,2,4: 17:[60, 76] Operation: 40+36=76
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 17:[36, 20], Operations: ['95-35=60', '60-40=20']
Exploring Operation: 36+20=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 36*20=720, Resulting Numbers: [720]
720,17 unequal: No Solution
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,17 unequal: No Solution
No 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: 17:[40, 24], Operations: ['95-35=60', '60-36=24']
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 40+24=64, Resulting Numbers: [64]
64,17 unequal: No Solution
Exploring Operation: 40*24=960, Resulting Numbers: [960]
960,17 unequal: No Solution
No 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: 17:[60, 4], Operations: ['95-35=60', '40-36=4']
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Exploring Operation: 60*4=240, Resulting Numbers: [240]
240,17 unequal: No Solution
Exploring Operation: 60+4=64, Resulting Numbers: [64]
64,17 unequal: No Solution
No 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: 17:[36, 100], Operations: ['95-35=60', '40+60=100']
Exploring Operation: 36+100=136, Resulting Numbers: [136]
136,17 unequal: No Solution
Exploring Operation: 100-36=64, Resulting Numbers: [64]
64,17 unequal: No Solution
Exploring Operation: 36*100=3600, Resulting Numbers: [3600]
3600,17 unequal: No Solution
No 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: 17:[60, 76], Operations: ['95-35=60', '40+36=76']
Exploring Operation: 76-60=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 60+76=136, Resulting Numbers: [136]
136,17 unequal: No Solution
Exploring Operation: 60*76=4560, Resulting Numbers: [4560]
4560,17 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: 17:[95, 35, 4], Operations: ['40-36=4']
Exploring Operation: 35+4=39, Resulting Numbers: [95, 39]
Generated Node #0,3,0: 17:[95, 39] Operation: 35+4=39
Exploring Operation: 95-4=91, Resulting Numbers: [35, 91]
Generated Node #0,3,1: 17:[35, 91] Operation: 95-4=91
Exploring Operation: 95-35=60, Resulting Numbers: [4, 60]
Generated Node #0,3,2: 17:[4, 60] Operation: 95-35=60
Exploring Operation: 95+4=99, Resulting Numbers: [35, 99]
Generated Node #0,3,3: 17:[35, 99] Operation: 95+4=99
Exploring Operation: 35-4=31, Resulting Numbers: [95, 31]
Generated Node #0,3,4: 17:[95, 31] Operation: 35-4=31
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 17:[4, 60], Operations: ['40-36=4', '95-35=60']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 4+60=64, Resulting Numbers: [64]
64,17 unequal: No Solution
Exploring Operation: 4*60=240, Resulting Numbers: [240]
240,17 unequal: No Solution
No 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: 17:[35, 91], Operations: ['40-36=4', '95-4=91']
Exploring Operation: 91-35=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 35+91=126, Resulting Numbers: [126]
126,17 unequal: No Solution
Exploring Operation: 35*91=3185, Resulting Numbers: [3185]
3185,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 17:[95, 31], Operations: ['40-36=4', '35-4=31']
Exploring Operation: 95-31=64, Resulting Numbers: [64]
64,17 unequal: No Solution
Exploring Operation: 95+31=126, Resulting Numbers: [126]
126,17 unequal: No Solution
Exploring Operation: 95*31=2945, Resulting Numbers: [2945]
2945,17 unequal: No Solution
No 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: 17:[95, 39], Operations: ['40-36=4', '35+4=39']
Exploring Operation: 95+39=134, Resulting Numbers: [134]
134,17 unequal: No Solution
Exploring Operation: 95-39=56, Resulting Numbers: [56]
56,17 unequal: No Solution
Exploring Operation: 95*39=3705, Resulting Numbers: [3705]
3705,17 unequal: No Solution
No 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: 17:[35, 99], Operations: ['40-36=4', '95+4=99']
Exploring Operation: 35*99=3465, Resulting Numbers: [3465]
3465,17 unequal: No Solution
Exploring Operation: 35+99=134, Resulting Numbers: [134]
134,17 unequal: No Solution
Exploring Operation: 99-35=64, Resulting Numbers: [64]
64,17 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: 17:[95, 36, 5], Operations: ['40-35=5']
Exploring Operation: 95-5=90, Resulting Numbers: [36, 90]
Generated Node #0,4,0: 17:[36, 90] Operation: 95-5=90
Exploring Operation: 95/5=19, Resulting Numbers: [36, 19]
Generated Node #0,4,1: 17:[36, 19] Operation: 95/5=19
Exploring Operation: 95-36=59, Resulting Numbers: [5, 59]
Generated Node #0,4,2: 17:[5, 59] Operation: 95-36=59
Exploring Operation: 36-5=31, Resulting Numbers: [95, 31]
Generated Node #0,4,3: 17:[95, 31] Operation: 36-5=31
Exploring Operation: 95+5=100, Resulting Numbers: [36, 100]
Generated Node #0,4,4: 17:[36, 100] Operation: 95+5=100
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 17:[36, 19], Operations: ['40-35=5', '95/5=19']
Exploring Operation: 36+19=55, Resulting Numbers: [55]
55,17 unequal: No Solution
Exploring Operation: 36*19=684, Resulting Numbers: [684]
684,17 unequal: No Solution
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[40, 95, 35, 36], Operations: []
Exploring Operation: 40-35=5, Resulting Numbers: [95, 36, 5]
Generated Node #0,4: 17:[95, 36, 5] Operation: 40-35=5
Moving to Node #0,4
Current State: 17:[95, 36, 5], Operations: ['40-35=5']
Exploring Operation: 95/5=19, Resulting Numbers: [36, 19]
Generated Node #0,4,1: 17:[36, 19] Operation: 95/5=19
Moving to Node #0,4,1
Current State: 17:[36, 19], Operations: ['40-35=5', '95/5=19']
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.913194 |
hs_5
|
mult_heuristic
|
[
56,
7,
7,
2
] | 27 |
[
"56/2=28",
"7/7=1",
"28-1=27"
] |
Current State: 27:[56, 7, 7, 2], Operations: []
Exploring Operation: 56/2=28, Resulting Numbers: [7, 7, 28]
Generated Node #2: [7, 7, 28] from Operation: 56/2=28
Current State: 27:[7, 7, 28], Operations: ['56/2=28']
Exploring Operation: 7/7=1, Resulting Numbers: [28, 1]
Generated Node #3: [28, 1] from Operation: 7/7=1
Current State: 27:[28, 1], Operations: ['56/2=28', '7/7=1']
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
Current State: 27:[56, 7, 7, 2], Operations: []
Exploring Operation: 56/7=8, Resulting Numbers: [7, 2, 8]
Generated Node #0,0: 27:[7, 2, 8] Operation: 56/7=8
Moving to Node #0,0
Current State: 27:[7, 2, 8], Operations: ['56/7=8']
Exploring Operation: 7+2=9, Resulting Numbers: [8, 9]
Generated Node #0,0,0: 27:[8, 9] Operation: 7+2=9
Moving to Node #0,0,0
Current State: 27:[8, 9], Operations: ['56/7=8', '7+2=9']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,27 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
50,
42,
47,
6
] | 60 |
[
"50-47=3",
"6*3=18",
"42+18=60"
] |
Current State: 60:[50, 42, 47, 6], Operations: []
Exploring Operation: 50-47=3, Resulting Numbers: [42, 6, 3]
Generated Node #2: [42, 6, 3] from Operation: 50-47=3
Current State: 60:[42, 6, 3], Operations: ['50-47=3']
Exploring Operation: 6*3=18, Resulting Numbers: [42, 18]
Generated Node #3: [42, 18] from Operation: 6*3=18
Current State: 60:[42, 18], Operations: ['50-47=3', '6*3=18']
Exploring Operation: 42+18=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
Current State: 60:[50, 42, 47, 6], Operations: []
Exploring Operation: 50-42=8, Resulting Numbers: [47, 6, 8]
Generated Node #0,0: 60:[47, 6, 8] Operation: 50-42=8
Exploring Operation: 50-47=3, Resulting Numbers: [42, 6, 3]
Generated Node #0,1: 60:[42, 6, 3] Operation: 50-47=3
Exploring Operation: 47-42=5, Resulting Numbers: [50, 6, 5]
Generated Node #0,2: 60:[50, 6, 5] Operation: 47-42=5
Exploring Operation: 42/6=7, Resulting Numbers: [50, 47, 7]
Generated Node #0,3: 60:[50, 47, 7] Operation: 42/6=7
Exploring Operation: 50+6=56, Resulting Numbers: [42, 47, 56]
Generated Node #0,4: 60:[42, 47, 56] Operation: 50+6=56
Moving to Node #0,2
Current State: 60:[50, 6, 5], Operations: ['47-42=5']
Exploring Operation: 6+5=11, Resulting Numbers: [50, 11]
Generated Node #0,2,0: 60:[50, 11] Operation: 6+5=11
Exploring Operation: 6*5=30, Resulting Numbers: [50, 30]
Generated Node #0,2,1: 60:[50, 30] Operation: 6*5=30
Exploring Operation: 50+5=55, Resulting Numbers: [6, 55]
Generated Node #0,2,2: 60:[6, 55] Operation: 50+5=55
Exploring Operation: 50+6=56, Resulting Numbers: [5, 56]
Generated Node #0,2,3: 60:[5, 56] Operation: 50+6=56
Exploring Operation: 50/5=10, Resulting Numbers: [6, 10]
Generated Node #0,2,4: 60:[6, 10] Operation: 50/5=10
Moving to Node #0,1
Current State: 60:[42, 6, 3], Operations: ['50-47=3']
Exploring Operation: 42/3=14, Resulting Numbers: [6, 14]
Generated Node #0,1,0: 60:[6, 14] Operation: 42/3=14
Exploring Operation: 42-3=39, Resulting Numbers: [6, 39]
Generated Node #0,1,1: 60:[6, 39] Operation: 42-3=39
Exploring Operation: 42-6=36, Resulting Numbers: [3, 36]
Generated Node #0,1,2: 60:[3, 36] Operation: 42-6=36
Exploring Operation: 42/6=7, Resulting Numbers: [3, 7]
Generated Node #0,1,3: 60:[3, 7] Operation: 42/6=7
Exploring Operation: 42+6=48, Resulting Numbers: [3, 48]
Generated Node #0,1,4: 60:[3, 48] Operation: 42+6=48
Moving to Node #0,0
Current State: 60:[47, 6, 8], Operations: ['50-42=8']
Exploring Operation: 47-6=41, Resulting Numbers: [8, 41]
Generated Node #0,0,0: 60:[8, 41] Operation: 47-6=41
Exploring Operation: 47+6=53, Resulting Numbers: [8, 53]
Generated Node #0,0,1: 60:[8, 53] Operation: 47+6=53
Exploring Operation: 47+8=55, Resulting Numbers: [6, 55]
Generated Node #0,0,2: 60:[6, 55] Operation: 47+8=55
Exploring Operation: 8-6=2, Resulting Numbers: [47, 2]
Generated Node #0,0,3: 60:[47, 2] Operation: 8-6=2
Exploring Operation: 47-8=39, Resulting Numbers: [6, 39]
Generated Node #0,0,4: 60:[6, 39] Operation: 47-8=39
Moving to Node #0,3
Current State: 60:[50, 47, 7], Operations: ['42/6=7']
Exploring Operation: 50+7=57, Resulting Numbers: [47, 57]
Generated Node #0,3,0: 60:[47, 57] Operation: 50+7=57
Exploring Operation: 50-47=3, Resulting Numbers: [7, 3]
Generated Node #0,3,1: 60:[7, 3] Operation: 50-47=3
Exploring Operation: 50-7=43, Resulting Numbers: [47, 43]
Generated Node #0,3,2: 60:[47, 43] Operation: 50-7=43
Exploring Operation: 47+7=54, Resulting Numbers: [50, 54]
Generated Node #0,3,3: 60:[50, 54] Operation: 47+7=54
Exploring Operation: 47-7=40, Resulting Numbers: [50, 40]
Generated Node #0,3,4: 60:[50, 40] Operation: 47-7=40
Moving to Node #0,4
Current State: 60:[42, 47, 56], Operations: ['50+6=56']
Exploring Operation: 56-47=9, Resulting Numbers: [42, 9]
Generated Node #0,4,0: 60:[42, 9] Operation: 56-47=9
Exploring Operation: 47-42=5, Resulting Numbers: [56, 5]
Generated Node #0,4,1: 60:[56, 5] Operation: 47-42=5
Exploring Operation: 42+47=89, Resulting Numbers: [56, 89]
Generated Node #0,4,2: 60:[56, 89] Operation: 42+47=89
Exploring Operation: 56-42=14, Resulting Numbers: [47, 14]
Generated Node #0,4,3: 60:[47, 14] Operation: 56-42=14
Exploring Operation: 42+56=98, Resulting Numbers: [47, 98]
Generated Node #0,4,4: 60:[47, 98] Operation: 42+56=98
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 60:[56, 5], Operations: ['50+6=56', '47-42=5']
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Exploring Operation: 56*5=280, Resulting Numbers: [280]
280,60 unequal: No Solution
Exploring Operation: 56+5=61, Resulting Numbers: [61]
61,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 60:[42, 9], Operations: ['50+6=56', '56-47=9']
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Exploring Operation: 42*9=378, Resulting Numbers: [378]
378,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 60:[47, 14], Operations: ['50+6=56', '56-42=14']
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Exploring Operation: 47*14=658, Resulting Numbers: [658]
658,60 unequal: No Solution
Exploring Operation: 47+14=61, Resulting Numbers: [61]
61,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 60:[56, 89], Operations: ['50+6=56', '42+47=89']
Exploring Operation: 56*89=4984, Resulting Numbers: [4984]
4984,60 unequal: No Solution
Exploring Operation: 56+89=145, Resulting Numbers: [145]
145,60 unequal: No Solution
Exploring Operation: 89-56=33, Resulting Numbers: [33]
33,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 60:[47, 98], Operations: ['50+6=56', '42+56=98']
Exploring Operation: 47+98=145, Resulting Numbers: [145]
145,60 unequal: No Solution
Exploring Operation: 47*98=4606, Resulting Numbers: [4606]
4606,60 unequal: No Solution
Exploring Operation: 98-47=51, Resulting Numbers: [51]
51,60 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: 60:[6, 10], Operations: ['47-42=5', '50/5=10']
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[50, 42, 47, 6], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [50, 6, 5]
Generated Node #0,2: 60:[50, 6, 5] Operation: 47-42=5
Moving to Node #0,2
Current State: 60:[50, 6, 5], Operations: ['47-42=5']
Exploring Operation: 50/5=10, Resulting Numbers: [6, 10]
Generated Node #0,2,4: 60:[6, 10] Operation: 50/5=10
Moving to Node #0,2,4
Current State: 60:[6, 10], Operations: ['47-42=5', '50/5=10']
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 0.956597 |
hs_5
|
mult_heuristic
|
[
89,
95,
34,
72
] | 78 |
[
"89+95=184",
"34+72=106",
"184-106=78"
] |
Current State: 78:[89, 95, 34, 72], Operations: []
Exploring Operation: 89+95=184, Resulting Numbers: [34, 72, 184]
Generated Node #2: [34, 72, 184] from Operation: 89+95=184
Current State: 78:[34, 72, 184], Operations: ['89+95=184']
Exploring Operation: 34+72=106, Resulting Numbers: [184, 106]
Generated Node #3: [184, 106] from Operation: 34+72=106
Current State: 78:[184, 106], Operations: ['89+95=184', '34+72=106']
Exploring Operation: 184-106=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
Current State: 78:[89, 95, 34, 72], Operations: []
Exploring Operation: 95-72=23, Resulting Numbers: [89, 34, 23]
Generated Node #0,0: 78:[89, 34, 23] Operation: 95-72=23
Exploring Operation: 95-89=6, Resulting Numbers: [34, 72, 6]
Generated Node #0,1: 78:[34, 72, 6] Operation: 95-89=6
Moving to Node #0,1
Current State: 78:[34, 72, 6], Operations: ['95-89=6']
Exploring Operation: 72-34=38, Resulting Numbers: [6, 38]
Generated Node #0,1,0: 78:[6, 38] Operation: 72-34=38
Exploring Operation: 72+6=78, Resulting Numbers: [34, 78]
Generated Node #0,1,1: 78:[34, 78] Operation: 72+6=78
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 78:[6, 38], Operations: ['95-89=6', '72-34=38']
Exploring Operation: 6+38=44, Resulting Numbers: [44]
44,78 unequal: No Solution
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 78:[34, 78], Operations: ['95-89=6', '72+6=78']
Exploring Operation: 78-34=44, Resulting Numbers: [44]
44,78 unequal: No Solution
Exploring Operation: 34+78=112, Resulting Numbers: [112]
112,78 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: 78:[89, 34, 23], Operations: ['95-72=23']
Exploring Operation: 89-23=66, Resulting Numbers: [34, 66]
Generated Node #0,0,0: 78:[34, 66] Operation: 89-23=66
Exploring Operation: 34-23=11, Resulting Numbers: [89, 11]
Generated Node #0,0,1: 78:[89, 11] Operation: 34-23=11
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 78:[89, 11], Operations: ['95-72=23', '34-23=11']
Exploring Operation: 89+11=100, Resulting Numbers: [100]
100,78 unequal: No Solution
Exploring Operation: 89-11=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[89, 95, 34, 72], Operations: []
Exploring Operation: 95-72=23, Resulting Numbers: [89, 34, 23]
Generated Node #0,0: 78:[89, 34, 23] Operation: 95-72=23
Moving to Node #0,0
Current State: 78:[89, 34, 23], Operations: ['95-72=23']
Exploring Operation: 34-23=11, Resulting Numbers: [89, 11]
Generated Node #0,0,1: 78:[89, 11] Operation: 34-23=11
Moving to Node #0,0,1
Current State: 78:[89, 11], Operations: ['95-72=23', '34-23=11']
Exploring Operation: 89-11=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 |
hs_2
|
mult_heuristic
|
[
20,
72,
96,
4
] | 26 |
[
"96-72=24",
"24/4=6",
"20+6=26"
] |
Current State: 26:[20, 72, 96, 4], Operations: []
Exploring Operation: 96-72=24, Resulting Numbers: [20, 4, 24]
Generated Node #2: [20, 4, 24] from Operation: 96-72=24
Current State: 26:[20, 4, 24], Operations: ['96-72=24']
Exploring Operation: 24/4=6, Resulting Numbers: [20, 6]
Generated Node #3: [20, 6] from Operation: 24/4=6
Current State: 26:[20, 6], Operations: ['96-72=24', '24/4=6']
Exploring Operation: 20+6=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
Current State: 26:[20, 72, 96, 4], Operations: []
Exploring Operation: 72-20=52, Resulting Numbers: [96, 4, 52]
Generated Node #0,0: 26:[96, 4, 52] Operation: 72-20=52
Exploring Operation: 96-20=76, Resulting Numbers: [72, 4, 76]
Generated Node #0,1: 26:[72, 4, 76] Operation: 96-20=76
Exploring Operation: 96/4=24, Resulting Numbers: [20, 72, 24]
Generated Node #0,2: 26:[20, 72, 24] Operation: 96/4=24
Exploring Operation: 96-72=24, Resulting Numbers: [20, 4, 24]
Generated Node #0,3: 26:[20, 4, 24] Operation: 96-72=24
Exploring Operation: 72/4=18, Resulting Numbers: [20, 96, 18]
Generated Node #0,4: 26:[20, 96, 18] Operation: 72/4=18
Start Sub Search at level 1: Moving to Node #0,3
Current State: 26:[20, 4, 24], Operations: ['96-72=24']
Exploring Operation: 20-4=16, Resulting Numbers: [24, 16]
Generated Node #0,3,0: 26:[24, 16] Operation: 20-4=16
Exploring Operation: 20+4=24, Resulting Numbers: [24, 24]
Generated Node #0,3,1: 26:[24, 24] Operation: 20+4=24
Exploring Operation: 20/4=5, Resulting Numbers: [24, 5]
Generated Node #0,3,2: 26:[24, 5] Operation: 20/4=5
Exploring Operation: 24-20=4, Resulting Numbers: [4, 4]
Generated Node #0,3,3: 26:[4, 4] Operation: 24-20=4
Exploring Operation: 4+24=28, Resulting Numbers: [20, 28]
Generated Node #0,3,4: 26:[20, 28] Operation: 4+24=28
Moving to Node #0,3,1
Current State: 26:[24, 24], Operations: ['96-72=24', '20+4=24']
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,26 unequal: No Solution
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,26 unequal: No Solution
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,26 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Moving to Node #0,3,3
Current State: 26:[4, 4], Operations: ['96-72=24', '24-20=4']
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,26 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,26 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,26 unequal: No Solution
Moving to Node #0,3,0
Current State: 26:[24, 16], Operations: ['96-72=24', '20-4=16']
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,26 unequal: No Solution
Exploring Operation: 24+16=40, Resulting Numbers: [40]
40,26 unequal: No Solution
Exploring Operation: 24*16=384, Resulting Numbers: [384]
384,26 unequal: No Solution
Moving to Node #0,3,2
Current State: 26:[24, 5], Operations: ['96-72=24', '20/4=5']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,26 unequal: No Solution
Exploring Operation: 24+5=29, Resulting Numbers: [29]
29,26 unequal: No Solution
Exploring Operation: 24*5=120, Resulting Numbers: [120]
120,26 unequal: No Solution
Moving to Node #0,3,4
Current State: 26:[20, 28], Operations: ['96-72=24', '4+24=28']
Exploring Operation: 20*28=560, Resulting Numbers: [560]
560,26 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,26 unequal: No Solution
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 26:[20, 72, 24], Operations: ['96/4=24']
Exploring Operation: 72/24=3, Resulting Numbers: [20, 3]
Generated Node #0,2,0: 26:[20, 3] Operation: 72/24=3
Exploring Operation: 72-20=52, Resulting Numbers: [24, 52]
Generated Node #0,2,1: 26:[24, 52] Operation: 72-20=52
Exploring Operation: 24-20=4, Resulting Numbers: [72, 4]
Generated Node #0,2,2: 26:[72, 4] Operation: 24-20=4
Exploring Operation: 72-24=48, Resulting Numbers: [20, 48]
Generated Node #0,2,3: 26:[20, 48] Operation: 72-24=48
Exploring Operation: 20+24=44, Resulting Numbers: [72, 44]
Generated Node #0,2,4: 26:[72, 44] Operation: 20+24=44
Moving to Node #0,2,0
Current State: 26:[20, 3], Operations: ['96/4=24', '72/24=3']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,26 unequal: No Solution
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,26 unequal: No Solution
Moving to Node #0,2,3
Current State: 26:[20, 48], Operations: ['96/4=24', '72-24=48']
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,26 unequal: No Solution
Exploring Operation: 20+48=68, Resulting Numbers: [68]
68,26 unequal: No Solution
Exploring Operation: 20*48=960, Resulting Numbers: [960]
960,26 unequal: No Solution
Moving to Node #0,2,1
Current State: 26:[24, 52], Operations: ['96/4=24', '72-20=52']
Exploring Operation: 24*52=1248, Resulting Numbers: [1248]
1248,26 unequal: No Solution
Exploring Operation: 24+52=76, Resulting Numbers: [76]
76,26 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,26 unequal: No Solution
Moving to Node #0,2,2
Current State: 26:[72, 4], Operations: ['96/4=24', '24-20=4']
Exploring Operation: 72+4=76, Resulting Numbers: [76]
76,26 unequal: No Solution
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Exploring Operation: 72*4=288, Resulting Numbers: [288]
288,26 unequal: No Solution
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,26 unequal: No Solution
Moving to Node #0,2,4
Current State: 26:[72, 44], Operations: ['96/4=24', '20+24=44']
Exploring Operation: 72*44=3168, Resulting Numbers: [3168]
3168,26 unequal: No Solution
Exploring Operation: 72+44=116, Resulting Numbers: [116]
116,26 unequal: No Solution
Exploring Operation: 72-44=28, Resulting Numbers: [28]
28,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 26:[20, 96, 18], Operations: ['72/4=18']
Exploring Operation: 20+18=38, Resulting Numbers: [96, 38]
Generated Node #0,4,0: 26:[96, 38] Operation: 20+18=38
Exploring Operation: 96-18=78, Resulting Numbers: [20, 78]
Generated Node #0,4,1: 26:[20, 78] Operation: 96-18=78
Exploring Operation: 20-18=2, Resulting Numbers: [96, 2]
Generated Node #0,4,2: 26:[96, 2] Operation: 20-18=2
Exploring Operation: 96+18=114, Resulting Numbers: [20, 114]
Generated Node #0,4,3: 26:[20, 114] Operation: 96+18=114
Exploring Operation: 96-20=76, Resulting Numbers: [18, 76]
Generated Node #0,4,4: 26:[18, 76] Operation: 96-20=76
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 26:[18, 76], Operations: ['72/4=18', '96-20=76']
Exploring Operation: 18*76=1368, Resulting Numbers: [1368]
1368,26 unequal: No Solution
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,26 unequal: No Solution
Exploring Operation: 18+76=94, Resulting Numbers: [94]
94,26 unequal: No Solution
No 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: 26:[20, 78], Operations: ['72/4=18', '96-18=78']
Exploring Operation: 78-20=58, Resulting Numbers: [58]
58,26 unequal: No Solution
Exploring Operation: 20*78=1560, Resulting Numbers: [1560]
1560,26 unequal: No Solution
Exploring Operation: 20+78=98, Resulting Numbers: [98]
98,26 unequal: No Solution
No 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: 26:[96, 2], Operations: ['72/4=18', '20-18=2']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,26 unequal: No Solution
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,26 unequal: No Solution
Exploring Operation: 96*2=192, Resulting Numbers: [192]
192,26 unequal: No Solution
Exploring Operation: 96+2=98, Resulting Numbers: [98]
98,26 unequal: No Solution
No 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: 26:[96, 38], Operations: ['72/4=18', '20+18=38']
Exploring Operation: 96+38=134, Resulting Numbers: [134]
134,26 unequal: No Solution
Exploring Operation: 96-38=58, Resulting Numbers: [58]
58,26 unequal: No Solution
Exploring Operation: 96*38=3648, Resulting Numbers: [3648]
3648,26 unequal: No Solution
No 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: 26:[20, 114], Operations: ['72/4=18', '96+18=114']
Exploring Operation: 114-20=94, Resulting Numbers: [94]
94,26 unequal: No Solution
Exploring Operation: 20*114=2280, Resulting Numbers: [2280]
2280,26 unequal: No Solution
Exploring Operation: 20+114=134, Resulting Numbers: [134]
134,26 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: 26:[96, 4, 52], Operations: ['72-20=52']
Exploring Operation: 52-4=48, Resulting Numbers: [96, 48]
Generated Node #0,0,0: 26:[96, 48] Operation: 52-4=48
Exploring Operation: 96/4=24, Resulting Numbers: [52, 24]
Generated Node #0,0,1: 26:[52, 24] Operation: 96/4=24
Exploring Operation: 96-4=92, Resulting Numbers: [52, 92]
Generated Node #0,0,2: 26:[52, 92] Operation: 96-4=92
Exploring Operation: 52/4=13, Resulting Numbers: [96, 13]
Generated Node #0,0,3: 26:[96, 13] Operation: 52/4=13
Exploring Operation: 96-52=44, Resulting Numbers: [4, 44]
Generated Node #0,0,4: 26:[4, 44] Operation: 96-52=44
Moving to Node #0,0,4
Current State: 26:[4, 44], Operations: ['72-20=52', '96-52=44']
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,26 unequal: No Solution
Exploring Operation: 4+44=48, Resulting Numbers: [48]
48,26 unequal: No Solution
Exploring Operation: 4*44=176, Resulting Numbers: [176]
176,26 unequal: No Solution
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Moving to Node #0,0,1
Current State: 26:[52, 24], Operations: ['72-20=52', '96/4=24']
Exploring Operation: 52*24=1248, Resulting Numbers: [1248]
1248,26 unequal: No Solution
Exploring Operation: 52+24=76, Resulting Numbers: [76]
76,26 unequal: No Solution
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,26 unequal: No Solution
Moving to Node #0,0,3
Current State: 26:[96, 13], Operations: ['72-20=52', '52/4=13']
Exploring Operation: 96-13=83, Resulting Numbers: [83]
83,26 unequal: No Solution
Exploring Operation: 96*13=1248, Resulting Numbers: [1248]
1248,26 unequal: No Solution
Exploring Operation: 96+13=109, Resulting Numbers: [109]
109,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[96, 48], Operations: ['72-20=52', '52-4=48']
Exploring Operation: 96*48=4608, Resulting Numbers: [4608]
4608,26 unequal: No Solution
Exploring Operation: 96+48=144, Resulting Numbers: [144]
144,26 unequal: No Solution
Exploring Operation: 96-48=48, Resulting Numbers: [48]
48,26 unequal: No Solution
Exploring Operation: 96/48=2, Resulting Numbers: [2]
2,26 unequal: No Solution
Moving to Node #0,0,2
Current State: 26:[52, 92], Operations: ['72-20=52', '96-4=92']
Exploring Operation: 52+92=144, Resulting Numbers: [144]
144,26 unequal: No Solution
Exploring Operation: 52*92=4784, Resulting Numbers: [4784]
4784,26 unequal: No Solution
Exploring Operation: 92-52=40, Resulting Numbers: [40]
40,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[72, 4, 76], Operations: ['96-20=76']
Exploring Operation: 76-4=72, Resulting Numbers: [72, 72]
Generated Node #0,1,0: 26:[72, 72] Operation: 76-4=72
Exploring Operation: 72-4=68, Resulting Numbers: [76, 68]
Generated Node #0,1,1: 26:[76, 68] Operation: 72-4=68
Exploring Operation: 72/4=18, Resulting Numbers: [76, 18]
Generated Node #0,1,2: 26:[76, 18] Operation: 72/4=18
Exploring Operation: 76/4=19, Resulting Numbers: [72, 19]
Generated Node #0,1,3: 26:[72, 19] Operation: 76/4=19
Exploring Operation: 76-72=4, Resulting Numbers: [4, 4]
Generated Node #0,1,4: 26:[4, 4] Operation: 76-72=4
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 26:[4, 4], Operations: ['96-20=76', '76-72=4']
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,26 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,26 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,26 unequal: No Solution
No 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: 26:[72, 19], Operations: ['96-20=76', '76/4=19']
Exploring Operation: 72*19=1368, Resulting Numbers: [1368]
1368,26 unequal: No Solution
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,26 unequal: No Solution
Exploring Operation: 72+19=91, Resulting Numbers: [91]
91,26 unequal: No Solution
No 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: 26:[76, 18], Operations: ['96-20=76', '72/4=18']
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,26 unequal: No Solution
Exploring Operation: 76+18=94, Resulting Numbers: [94]
94,26 unequal: No Solution
Exploring Operation: 76*18=1368, Resulting Numbers: [1368]
1368,26 unequal: No Solution
No 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: 26:[72, 72], Operations: ['96-20=76', '76-4=72']
Exploring Operation: 72+72=144, Resulting Numbers: [144]
144,26 unequal: No Solution
Exploring Operation: 72-72=0, Resulting Numbers: [0]
0,26 unequal: No Solution
Exploring Operation: 72*72=5184, Resulting Numbers: [5184]
5184,26 unequal: No Solution
Exploring Operation: 72/72=1, Resulting Numbers: [1]
1,26 unequal: No Solution
No 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: 26:[76, 68], Operations: ['96-20=76', '72-4=68']
Exploring Operation: 76+68=144, Resulting Numbers: [144]
144,26 unequal: No Solution
Exploring Operation: 76*68=5168, Resulting Numbers: [5168]
5168,26 unequal: No Solution
Exploring Operation: 76-68=8, Resulting Numbers: [8]
8,26 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
|
[
97,
11,
22,
11
] | 84 |
[
"97-11=86",
"22/11=2",
"86-2=84"
] |
Current State: 84:[97, 11, 22, 11], Operations: []
Exploring Operation: 97-11=86, Resulting Numbers: [22, 86]
Generated Node #2: [22, 86] from Operation: 97-11=86
Current State: 84:[22, 86], Operations: ['97-11=86']
Exploring Operation: 22/11=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 22/11=2
Current State: 84:[86, 2], Operations: ['97-11=86', '22/11=2']
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
Current State: 84:[97, 11, 22, 11], Operations: []
Exploring Operation: 97-11=86, Resulting Numbers: [11, 22, 86]
Generated Node #0,0: 84:[11, 22, 86] Operation: 97-11=86
Exploring Operation: 97-22=75, Resulting Numbers: [11, 11, 75]
Generated Node #0,1: 84:[11, 11, 75] Operation: 97-22=75
Exploring Operation: 97-11=86, Resulting Numbers: [22, 11, 86]
Generated Node #0,2: 84:[22, 11, 86] Operation: 97-11=86
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[11, 22, 86], Operations: ['97-11=86']
Exploring Operation: 22/11=2, Resulting Numbers: [86, 2]
Generated Node #0,0,0: 84:[86, 2] Operation: 22/11=2
Exploring Operation: 11+22=33, Resulting Numbers: [86, 33]
Generated Node #0,0,1: 84:[86, 33] Operation: 11+22=33
Exploring Operation: 22-11=11, Resulting Numbers: [86, 11]
Generated Node #0,0,2: 84:[86, 11] Operation: 22-11=11
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[86, 2], Operations: ['97-11=86', '22/11=2']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,84 unequal: No Solution
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,84 unequal: No Solution
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[97, 11, 22, 11], Operations: []
Exploring Operation: 97-11=86, Resulting Numbers: [11, 22, 86]
Generated Node #0,0: 84:[11, 22, 86] Operation: 97-11=86
Moving to Node #0,0
Current State: 84:[11, 22, 86], Operations: ['97-11=86']
Exploring Operation: 22/11=2, Resulting Numbers: [86, 2]
Generated Node #0,0,0: 84:[86, 2] Operation: 22/11=2
Moving to Node #0,0,0
Current State: 84:[86, 2], Operations: ['97-11=86', '22/11=2']
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 |
hs_3
|
sum_heuristic
|
[
7,
39,
54,
2
] | 17 |
[
"7+54=61",
"39*2=78",
"78-61=17"
] |
Current State: 17:[7, 39, 54, 2], Operations: []
Exploring Operation: 7+54=61, Resulting Numbers: [39, 2, 61]
Generated Node #2: [39, 2, 61] from Operation: 7+54=61
Current State: 17:[39, 2, 61], Operations: ['7+54=61']
Exploring Operation: 39*2=78, Resulting Numbers: [61, 78]
Generated Node #3: [61, 78] from Operation: 39*2=78
Current State: 17:[61, 78], Operations: ['7+54=61', '39*2=78']
Exploring Operation: 78-61=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
Current State: 17:[7, 39, 54, 2], Operations: []
Exploring Operation: 7*2=14, Resulting Numbers: [39, 54, 14]
Generated Node #0,0: 17:[39, 54, 14] Operation: 7*2=14
Exploring Operation: 54/2=27, Resulting Numbers: [7, 39, 27]
Generated Node #0,1: 17:[7, 39, 27] Operation: 54/2=27
Exploring Operation: 39-7=32, Resulting Numbers: [54, 2, 32]
Generated Node #0,2: 17:[54, 2, 32] Operation: 39-7=32
Exploring Operation: 54-39=15, Resulting Numbers: [7, 2, 15]
Generated Node #0,3: 17:[7, 2, 15] Operation: 54-39=15
Start Sub Search at level 1: Moving to Node #0,3
Current State: 17:[7, 2, 15], Operations: ['54-39=15']
Exploring Operation: 7-2=5, Resulting Numbers: [15, 5]
Generated Node #0,3,0: 17:[15, 5] Operation: 7-2=5
Exploring Operation: 7*2=14, Resulting Numbers: [15, 14]
Generated Node #0,3,1: 17:[15, 14] Operation: 7*2=14
Exploring Operation: 7+2=9, Resulting Numbers: [15, 9]
Generated Node #0,3,2: 17:[15, 9] Operation: 7+2=9
Exploring Operation: 2+15=17, Resulting Numbers: [7, 17]
Generated Node #0,3,3: 17:[7, 17] Operation: 2+15=17
Moving to Node #0,3,1
Current State: 17:[15, 14], Operations: ['54-39=15', '7*2=14']
Exploring Operation: 15+14=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Exploring Operation: 15*14=210, Resulting Numbers: [210]
210,17 unequal: No Solution
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Moving to Node #0,3,3
Current State: 17:[7, 17], Operations: ['54-39=15', '2+15=17']
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,17 unequal: No Solution
Exploring Operation: 7+17=24, Resulting Numbers: [24]
24,17 unequal: No Solution
Exploring Operation: 7*17=119, Resulting Numbers: [119]
119,17 unequal: No Solution
Moving to Node #0,3,2
Current State: 17:[15, 9], Operations: ['54-39=15', '7+2=9']
Exploring Operation: 15+9=24, Resulting Numbers: [24]
24,17 unequal: No Solution
Exploring Operation: 15*9=135, Resulting Numbers: [135]
135,17 unequal: No Solution
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,17 unequal: No Solution
Moving to Node #0,3,0
Current State: 17:[15, 5], Operations: ['54-39=15', '7-2=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,17 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,17 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,17 unequal: No Solution
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[7, 39, 27], Operations: ['54/2=27']
Exploring Operation: 7+39=46, Resulting Numbers: [27, 46]
Generated Node #0,1,0: 17:[27, 46] Operation: 7+39=46
Exploring Operation: 27-7=20, Resulting Numbers: [39, 20]
Generated Node #0,1,1: 17:[39, 20] Operation: 27-7=20
Exploring Operation: 39-7=32, Resulting Numbers: [27, 32]
Generated Node #0,1,2: 17:[27, 32] Operation: 39-7=32
Exploring Operation: 39-27=12, Resulting Numbers: [7, 12]
Generated Node #0,1,3: 17:[7, 12] Operation: 39-27=12
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 17:[7, 12], Operations: ['54/2=27', '39-27=12']
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,17 unequal: No Solution
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,17 unequal: No Solution
No 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: 17:[39, 20], Operations: ['54/2=27', '27-7=20']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 39*20=780, Resulting Numbers: [780]
780,17 unequal: No Solution
Exploring Operation: 39+20=59, Resulting Numbers: [59]
59,17 unequal: No Solution
No 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: 17:[27, 32], Operations: ['54/2=27', '39-7=32']
Exploring Operation: 27*32=864, Resulting Numbers: [864]
864,17 unequal: No Solution
Exploring Operation: 32-27=5, Resulting Numbers: [5]
5,17 unequal: No Solution
Exploring Operation: 27+32=59, Resulting Numbers: [59]
59,17 unequal: No Solution
No 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: 17:[27, 46], Operations: ['54/2=27', '7+39=46']
Exploring Operation: 46-27=19, Resulting Numbers: [19]
19,17 unequal: No Solution
Exploring Operation: 27+46=73, Resulting Numbers: [73]
73,17 unequal: No Solution
Exploring Operation: 27*46=1242, Resulting Numbers: [1242]
1242,17 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: 17:[39, 54, 14], Operations: ['7*2=14']
Exploring Operation: 39+14=53, Resulting Numbers: [54, 53]
Generated Node #0,0,0: 17:[54, 53] Operation: 39+14=53
Exploring Operation: 54-39=15, Resulting Numbers: [14, 15]
Generated Node #0,0,1: 17:[14, 15] Operation: 54-39=15
Exploring Operation: 54-14=40, Resulting Numbers: [39, 40]
Generated Node #0,0,2: 17:[39, 40] Operation: 54-14=40
Exploring Operation: 39-14=25, Resulting Numbers: [54, 25]
Generated Node #0,0,3: 17:[54, 25] Operation: 39-14=25
Moving to Node #0,0,1
Current State: 17:[14, 15], Operations: ['7*2=14', '54-39=15']
Exploring Operation: 15-14=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Exploring Operation: 14*15=210, Resulting Numbers: [210]
210,17 unequal: No Solution
Exploring Operation: 14+15=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Moving to Node #0,0,3
Current State: 17:[54, 25], Operations: ['7*2=14', '39-14=25']
Exploring Operation: 54+25=79, Resulting Numbers: [79]
79,17 unequal: No Solution
Exploring Operation: 54*25=1350, Resulting Numbers: [1350]
1350,17 unequal: No Solution
Exploring Operation: 54-25=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Moving to Node #0,0,2
Current State: 17:[39, 40], Operations: ['7*2=14', '54-14=40']
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Exploring Operation: 39+40=79, Resulting Numbers: [79]
79,17 unequal: No Solution
Exploring Operation: 39*40=1560, Resulting Numbers: [1560]
1560,17 unequal: No Solution
Moving to Node #0,0,0
Current State: 17:[54, 53], Operations: ['7*2=14', '39+14=53']
Exploring Operation: 54-53=1, Resulting Numbers: [1]
1,17 unequal: No Solution
Exploring Operation: 54+53=107, Resulting Numbers: [107]
107,17 unequal: No Solution
Exploring Operation: 54*53=2862, Resulting Numbers: [2862]
2862,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[54, 2, 32], Operations: ['39-7=32']
Exploring Operation: 54-2=52, Resulting Numbers: [32, 52]
Generated Node #0,2,0: 17:[32, 52] Operation: 54-2=52
Exploring Operation: 54/2=27, Resulting Numbers: [32, 27]
Generated Node #0,2,1: 17:[32, 27] Operation: 54/2=27
Exploring Operation: 32/2=16, Resulting Numbers: [54, 16]
Generated Node #0,2,2: 17:[54, 16] Operation: 32/2=16
Exploring Operation: 54-32=22, Resulting Numbers: [2, 22]
Generated Node #0,2,3: 17:[2, 22] Operation: 54-32=22
Moving to Node #0,2,3
Current State: 17:[2, 22], Operations: ['39-7=32', '54-32=22']
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,17 unequal: No Solution
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,17 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,17 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,17 unequal: No Solution
Moving to Node #0,2,1
Current State: 17:[32, 27], Operations: ['39-7=32', '54/2=27']
Exploring Operation: 32*27=864, Resulting Numbers: [864]
864,17 unequal: No Solution
Exploring Operation: 32-27=5, Resulting Numbers: [5]
5,17 unequal: No Solution
Exploring Operation: 32+27=59, Resulting Numbers: [59]
59,17 unequal: No Solution
Moving to Node #0,2,2
Current State: 17:[54, 16], Operations: ['39-7=32', '32/2=16']
Exploring Operation: 54*16=864, Resulting Numbers: [864]
864,17 unequal: No Solution
Exploring Operation: 54-16=38, Resulting Numbers: [38]
38,17 unequal: No Solution
Exploring Operation: 54+16=70, Resulting Numbers: [70]
70,17 unequal: No Solution
Moving to Node #0,2,0
Current State: 17:[32, 52], Operations: ['39-7=32', '54-2=52']
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,17 unequal: No Solution
Exploring Operation: 32*52=1664, Resulting Numbers: [1664]
1664,17 unequal: No Solution
Exploring Operation: 32+52=84, Resulting Numbers: [84]
84,17 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
|
[
83,
70,
26,
98
] | 81 |
[
"83+70=153",
"98-26=72",
"153-72=81"
] |
Current State: 81:[83, 70, 26, 98], Operations: []
Exploring Operation: 83+70=153, Resulting Numbers: [26, 98, 153]
Generated Node #2: [26, 98, 153] from Operation: 83+70=153
Current State: 81:[26, 98, 153], Operations: ['83+70=153']
Exploring Operation: 98-26=72, Resulting Numbers: [153, 72]
Generated Node #3: [153, 72] from Operation: 98-26=72
Current State: 81:[153, 72], Operations: ['83+70=153', '98-26=72']
Exploring Operation: 153-72=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
Current State: 81:[83, 70, 26, 98], Operations: []
Exploring Operation: 98-26=72, Resulting Numbers: [83, 70, 72]
Generated Node #0,0: 81:[83, 70, 72] Operation: 98-26=72
Exploring Operation: 83-70=13, Resulting Numbers: [26, 98, 13]
Generated Node #0,1: 81:[26, 98, 13] Operation: 83-70=13
Exploring Operation: 98-70=28, Resulting Numbers: [83, 26, 28]
Generated Node #0,2: 81:[83, 26, 28] Operation: 98-70=28
Exploring Operation: 98-83=15, Resulting Numbers: [70, 26, 15]
Generated Node #0,3: 81:[70, 26, 15] Operation: 98-83=15
Start Sub Search at level 1: Moving to Node #0,2
Current State: 81:[83, 26, 28], Operations: ['98-70=28']
Exploring Operation: 83+26=109, Resulting Numbers: [28, 109]
Generated Node #0,2,0: 81:[28, 109] Operation: 83+26=109
Exploring Operation: 83-26=57, Resulting Numbers: [28, 57]
Generated Node #0,2,1: 81:[28, 57] Operation: 83-26=57
Exploring Operation: 28-26=2, Resulting Numbers: [83, 2]
Generated Node #0,2,2: 81:[83, 2] Operation: 28-26=2
Exploring Operation: 83-28=55, Resulting Numbers: [26, 55]
Generated Node #0,2,3: 81:[26, 55] Operation: 83-28=55
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 81:[83, 2], Operations: ['98-70=28', '28-26=2']
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,81 unequal: No Solution
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[83, 70, 26, 98], Operations: []
Exploring Operation: 98-70=28, Resulting Numbers: [83, 26, 28]
Generated Node #0,2: 81:[83, 26, 28] Operation: 98-70=28
Moving to Node #0,2
Current State: 81:[83, 26, 28], Operations: ['98-70=28']
Exploring Operation: 28-26=2, Resulting Numbers: [83, 2]
Generated Node #0,2,2: 81:[83, 2] Operation: 28-26=2
Moving to Node #0,2,2
Current State: 81:[83, 2], Operations: ['98-70=28', '28-26=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 |
hs_4
|
mult_heuristic
|
[
30,
17,
11,
3
] | 39 |
[
"30+17=47",
"11-3=8",
"47-8=39"
] |
Current State: 39:[30, 17, 11, 3], Operations: []
Exploring Operation: 30+17=47, Resulting Numbers: [11, 3, 47]
Generated Node #2: [11, 3, 47] from Operation: 30+17=47
Current State: 39:[11, 3, 47], Operations: ['30+17=47']
Exploring Operation: 11-3=8, Resulting Numbers: [47, 8]
Generated Node #3: [47, 8] from Operation: 11-3=8
Current State: 39:[47, 8], Operations: ['30+17=47', '11-3=8']
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
Current State: 39:[30, 17, 11, 3], Operations: []
Exploring Operation: 30-17=13, Resulting Numbers: [11, 3, 13]
Generated Node #0,0: 39:[11, 3, 13] Operation: 30-17=13
Exploring Operation: 30+11=41, Resulting Numbers: [17, 3, 41]
Generated Node #0,1: 39:[17, 3, 41] Operation: 30+11=41
Exploring Operation: 30/3=10, Resulting Numbers: [17, 11, 10]
Generated Node #0,2: 39:[17, 11, 10] Operation: 30/3=10
Moving to Node #0,0
Current State: 39:[11, 3, 13], Operations: ['30-17=13']
Exploring Operation: 13-11=2, Resulting Numbers: [3, 2]
Generated Node #0,0,0: 39:[3, 2] Operation: 13-11=2
Exploring Operation: 11+3=14, Resulting Numbers: [13, 14]
Generated Node #0,0,1: 39:[13, 14] Operation: 11+3=14
Exploring Operation: 3*13=39, Resulting Numbers: [11, 39]
Generated Node #0,0,2: 39:[11, 39] Operation: 3*13=39
Moving to Node #0,1
Current State: 39:[17, 3, 41], Operations: ['30+11=41']
Exploring Operation: 41-3=38, Resulting Numbers: [17, 38]
Generated Node #0,1,0: 39:[17, 38] Operation: 41-3=38
Exploring Operation: 17-3=14, Resulting Numbers: [41, 14]
Generated Node #0,1,1: 39:[41, 14] Operation: 17-3=14
Exploring Operation: 17+3=20, Resulting Numbers: [41, 20]
Generated Node #0,1,2: 39:[41, 20] Operation: 17+3=20
Moving to Node #0,2
Current State: 39:[17, 11, 10], Operations: ['30/3=10']
Exploring Operation: 17-10=7, Resulting Numbers: [11, 7]
Generated Node #0,2,0: 39:[11, 7] Operation: 17-10=7
Exploring Operation: 17-11=6, Resulting Numbers: [10, 6]
Generated Node #0,2,1: 39:[10, 6] Operation: 17-11=6
Exploring Operation: 11-10=1, Resulting Numbers: [17, 1]
Generated Node #0,2,2: 39:[17, 1] Operation: 11-10=1
Moving to Node #0,0,0
Current State: 39:[3, 2], Operations: ['30-17=13', '13-11=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,39 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[13, 14], Operations: ['30-17=13', '11+3=14']
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 13+14=27, Resulting Numbers: [27]
27,39 unequal: No Solution
Exploring Operation: 13*14=182, Resulting Numbers: [182]
182,39 unequal: No Solution
Moving to Node #0,0,2
Current State: 39:[11, 39], Operations: ['30-17=13', '3*13=39']
Exploring Operation: 11+39=50, Resulting Numbers: [50]
50,39 unequal: No Solution
Exploring Operation: 11*39=429, Resulting Numbers: [429]
429,39 unequal: No Solution
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[41, 14], Operations: ['30+11=41', '17-3=14']
Exploring Operation: 41+14=55, Resulting Numbers: [55]
55,39 unequal: No Solution
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,39 unequal: No Solution
Exploring Operation: 41*14=574, Resulting Numbers: [574]
574,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[17, 38], Operations: ['30+11=41', '41-3=38']
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,39 unequal: No Solution
Exploring Operation: 17*38=646, Resulting Numbers: [646]
646,39 unequal: No Solution
Exploring Operation: 17+38=55, Resulting Numbers: [55]
55,39 unequal: No Solution
Moving to Node #0,2,0
Current State: 39:[11, 7], Operations: ['30/3=10', '17-10=7']
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,39 unequal: No Solution
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,39 unequal: No Solution
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,39 unequal: No Solution
Moving to Node #0,2,2
Current State: 39:[17, 1], Operations: ['30/3=10', '11-10=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,39 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,39 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,39 unequal: No Solution
Moving to Node #0,2,1
Current State: 39:[10, 6], Operations: ['30/3=10', '17-11=6']
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,39 unequal: No Solution
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,39 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[41, 20], Operations: ['30+11=41', '17+3=20']
Exploring Operation: 41*20=820, Resulting Numbers: [820]
820,39 unequal: No Solution
Exploring Operation: 41-20=21, Resulting Numbers: [21]
21,39 unequal: No Solution
Exploring Operation: 41+20=61, Resulting Numbers: [61]
61,39 unequal: No Solution
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
2,
51,
43,
93
] | 92 |
[
"2*93=186",
"51+43=94",
"186-94=92"
] |
Current State: 92:[2, 51, 43, 93], Operations: []
Exploring Operation: 2*93=186, Resulting Numbers: [51, 43, 186]
Generated Node #2: [51, 43, 186] from Operation: 2*93=186
Current State: 92:[51, 43, 186], Operations: ['2*93=186']
Exploring Operation: 51+43=94, Resulting Numbers: [186, 94]
Generated Node #3: [186, 94] from Operation: 51+43=94
Current State: 92:[186, 94], Operations: ['2*93=186', '51+43=94']
Exploring Operation: 186-94=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
Current State: 92:[2, 51, 43, 93], Operations: []
Exploring Operation: 51-43=8, Resulting Numbers: [2, 93, 8]
Generated Node #0,0: 92:[2, 93, 8] Operation: 51-43=8
Exploring Operation: 51-2=49, Resulting Numbers: [43, 93, 49]
Generated Node #0,1: 92:[43, 93, 49] Operation: 51-2=49
Exploring Operation: 51+43=94, Resulting Numbers: [2, 93, 94]
Generated Node #0,2: 92:[2, 93, 94] Operation: 51+43=94
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[2, 93, 94], Operations: ['51+43=94']
Exploring Operation: 94-93=1, Resulting Numbers: [2, 1]
Generated Node #0,2,0: 92:[2, 1] Operation: 94-93=1
Exploring Operation: 94-2=92, Resulting Numbers: [93, 92]
Generated Node #0,2,1: 92:[93, 92] Operation: 94-2=92
Exploring Operation: 94/2=47, Resulting Numbers: [93, 47]
Generated Node #0,2,2: 92:[93, 47] Operation: 94/2=47
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 92:[2, 1], Operations: ['51+43=94', '94-93=1']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 92:[93, 92], Operations: ['51+43=94', '94-2=92']
Exploring Operation: 93*92=8556, Resulting Numbers: [8556]
8556,92 unequal: No Solution
Exploring Operation: 93-92=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 93+92=185, Resulting Numbers: [185]
185,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 92:[93, 47], Operations: ['51+43=94', '94/2=47']
Exploring Operation: 93*47=4371, Resulting Numbers: [4371]
4371,92 unequal: No Solution
Exploring Operation: 93-47=46, Resulting Numbers: [46]
46,92 unequal: No Solution
Exploring Operation: 93+47=140, Resulting Numbers: [140]
140,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[2, 93, 8], Operations: ['51-43=8']
Exploring Operation: 8/2=4, Resulting Numbers: [93, 4]
Generated Node #0,0,0: 92:[93, 4] Operation: 8/2=4
Exploring Operation: 93-2=91, Resulting Numbers: [8, 91]
Generated Node #0,0,1: 92:[8, 91] Operation: 93-2=91
Exploring Operation: 8-2=6, Resulting Numbers: [93, 6]
Generated Node #0,0,2: 92:[93, 6] Operation: 8-2=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[93, 4], Operations: ['51-43=8', '8/2=4']
Exploring Operation: 93*4=372, Resulting Numbers: [372]
372,92 unequal: No Solution
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,92 unequal: No Solution
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 92:[93, 6], Operations: ['51-43=8', '8-2=6']
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,92 unequal: No Solution
Exploring Operation: 93*6=558, Resulting Numbers: [558]
558,92 unequal: No Solution
Exploring Operation: 93+6=99, Resulting Numbers: [99]
99,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 92:[8, 91], Operations: ['51-43=8', '93-2=91']
Exploring Operation: 8+91=99, Resulting Numbers: [99]
99,92 unequal: No Solution
Exploring Operation: 8*91=728, Resulting Numbers: [728]
728,92 unequal: No Solution
Exploring Operation: 91-8=83, Resulting Numbers: [83]
83,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[43, 93, 49], Operations: ['51-2=49']
Exploring Operation: 43+49=92, Resulting Numbers: [93, 92]
Generated Node #0,1,0: 92:[93, 92] Operation: 43+49=92
Exploring Operation: 49-43=6, Resulting Numbers: [93, 6]
Generated Node #0,1,1: 92:[93, 6] Operation: 49-43=6
Exploring Operation: 93-49=44, Resulting Numbers: [43, 44]
Generated Node #0,1,2: 92:[43, 44] Operation: 93-49=44
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 92:[93, 92], Operations: ['51-2=49', '43+49=92']
Exploring Operation: 93+92=185, Resulting Numbers: [185]
185,92 unequal: No Solution
Exploring Operation: 93-92=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 93*92=8556, Resulting Numbers: [8556]
8556,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 92:[93, 6], Operations: ['51-2=49', '49-43=6']
Exploring Operation: 93*6=558, Resulting Numbers: [558]
558,92 unequal: No Solution
Exploring Operation: 93+6=99, Resulting Numbers: [99]
99,92 unequal: No Solution
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 92:[43, 44], Operations: ['51-2=49', '93-49=44']
Exploring Operation: 44-43=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 43*44=1892, Resulting Numbers: [1892]
1892,92 unequal: No Solution
Exploring Operation: 43+44=87, Resulting Numbers: [87]
87,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
11,
96,
43,
63
] | 40 |
[
"96-63=33",
"33/11=3",
"43-3=40"
] |
Current State: 40:[11, 96, 43, 63], Operations: []
Exploring Operation: 96-63=33, Resulting Numbers: [11, 43, 33]
Generated Node #2: [11, 43, 33] from Operation: 96-63=33
Current State: 40:[11, 43, 33], Operations: ['96-63=33']
Exploring Operation: 33/11=3, Resulting Numbers: [43, 3]
Generated Node #3: [43, 3] from Operation: 33/11=3
Current State: 40:[43, 3], Operations: ['96-63=33', '33/11=3']
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
Current State: 40:[11, 96, 43, 63], Operations: []
Exploring Operation: 96-63=33, Resulting Numbers: [11, 43, 33]
Generated Node #0,0: 40:[11, 43, 33] Operation: 96-63=33
Moving to Node #0,0
Current State: 40:[11, 43, 33], Operations: ['96-63=33']
Exploring Operation: 43-33=10, Resulting Numbers: [11, 10]
Generated Node #0,0,0: 40:[11, 10] Operation: 43-33=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 40:[11, 10], Operations: ['96-63=33', '43-33=10']
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,40 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
|
[
42,
53,
52,
31
] | 10 |
[
"53-42=11",
"52-31=21",
"21-11=10"
] |
Current State: 10:[42, 53, 52, 31], Operations: []
Exploring Operation: 53-42=11, Resulting Numbers: [52, 31, 11]
Generated Node #2: [52, 31, 11] from Operation: 53-42=11
Current State: 10:[52, 31, 11], Operations: ['53-42=11']
Exploring Operation: 52-31=21, Resulting Numbers: [11, 21]
Generated Node #3: [11, 21] from Operation: 52-31=21
Current State: 10:[11, 21], Operations: ['53-42=11', '52-31=21']
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
Current State: 10:[42, 53, 52, 31], Operations: []
Exploring Operation: 53-42=11, Resulting Numbers: [52, 31, 11]
Generated Node #0,0: 10:[52, 31, 11] Operation: 53-42=11
Exploring Operation: 53-52=1, Resulting Numbers: [42, 31, 1]
Generated Node #0,1: 10:[42, 31, 1] Operation: 53-52=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[42, 31, 1], Operations: ['53-52=1']
Exploring Operation: 42-1=41, Resulting Numbers: [31, 41]
Generated Node #0,1,0: 10:[31, 41] Operation: 42-1=41
Exploring Operation: 42-31=11, Resulting Numbers: [1, 11]
Generated Node #0,1,1: 10:[1, 11] Operation: 42-31=11
Moving to Node #0,1,1
Current State: 10:[1, 11], Operations: ['53-52=1', '42-31=11']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[42, 53, 52, 31], Operations: []
Exploring Operation: 53-52=1, Resulting Numbers: [42, 31, 1]
Generated Node #0,1: 10:[42, 31, 1] Operation: 53-52=1
Moving to Node #0,1
Current State: 10:[42, 31, 1], Operations: ['53-52=1']
Exploring Operation: 42-31=11, Resulting Numbers: [1, 11]
Generated Node #0,1,1: 10:[1, 11] Operation: 42-31=11
Moving to Node #0,1,1
Current State: 10:[1, 11], Operations: ['53-52=1', '42-31=11']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 |
hs_2
|
sum_heuristic
|
[
52,
58,
78,
57
] | 30 |
[
"58*78=4524",
"4524/52=87",
"87-57=30"
] |
Current State: 30:[52, 58, 78, 57], Operations: []
Exploring Operation: 58*78=4524, Resulting Numbers: [52, 57, 4524]
Generated Node #2: [52, 57, 4524] from Operation: 58*78=4524
Current State: 30:[52, 57, 4524], Operations: ['58*78=4524']
Exploring Operation: 4524/52=87, Resulting Numbers: [57, 87]
Generated Node #3: [57, 87] from Operation: 4524/52=87
Current State: 30:[57, 87], Operations: ['58*78=4524', '4524/52=87']
Exploring Operation: 87-57=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
Current State: 30:[52, 58, 78, 57], Operations: []
Exploring Operation: 78-52=26, Resulting Numbers: [58, 57, 26]
Generated Node #0,0: 30:[58, 57, 26] Operation: 78-52=26
Exploring Operation: 58-57=1, Resulting Numbers: [52, 78, 1]
Generated Node #0,1: 30:[52, 78, 1] Operation: 58-57=1
Exploring Operation: 78-57=21, Resulting Numbers: [52, 58, 21]
Generated Node #0,2: 30:[52, 58, 21] Operation: 78-57=21
Exploring Operation: 78-58=20, Resulting Numbers: [52, 57, 20]
Generated Node #0,3: 30:[52, 57, 20] Operation: 78-58=20
Exploring Operation: 58-52=6, Resulting Numbers: [78, 57, 6]
Generated Node #0,4: 30:[78, 57, 6] Operation: 58-52=6
Start Sub Search at level 1: Moving to Node #0,3
Current State: 30:[52, 57, 20], Operations: ['78-58=20']
Exploring Operation: 57+20=77, Resulting Numbers: [52, 77]
Generated Node #0,3,0: 30:[52, 77] Operation: 57+20=77
Exploring Operation: 57-52=5, Resulting Numbers: [20, 5]
Generated Node #0,3,1: 30:[20, 5] Operation: 57-52=5
Exploring Operation: 57-20=37, Resulting Numbers: [52, 37]
Generated Node #0,3,2: 30:[52, 37] Operation: 57-20=37
Exploring Operation: 52-20=32, Resulting Numbers: [57, 32]
Generated Node #0,3,3: 30:[57, 32] Operation: 52-20=32
Exploring Operation: 52+20=72, Resulting Numbers: [57, 72]
Generated Node #0,3,4: 30:[57, 72] Operation: 52+20=72
Moving to Node #0,3,1
Current State: 30:[20, 5], Operations: ['78-58=20', '57-52=5']
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,30 unequal: No Solution
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,30 unequal: No Solution
Moving to Node #0,3,3
Current State: 30:[57, 32], Operations: ['78-58=20', '52-20=32']
Exploring Operation: 57*32=1824, Resulting Numbers: [1824]
1824,30 unequal: No Solution
Exploring Operation: 57+32=89, Resulting Numbers: [89]
89,30 unequal: No Solution
Exploring Operation: 57-32=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Moving to Node #0,3,2
Current State: 30:[52, 37], Operations: ['78-58=20', '57-20=37']
Exploring Operation: 52+37=89, Resulting Numbers: [89]
89,30 unequal: No Solution
Exploring Operation: 52-37=15, Resulting Numbers: [15]
15,30 unequal: No Solution
Exploring Operation: 52*37=1924, Resulting Numbers: [1924]
1924,30 unequal: No Solution
Moving to Node #0,3,0
Current State: 30:[52, 77], Operations: ['78-58=20', '57+20=77']
Exploring Operation: 77-52=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 52+77=129, Resulting Numbers: [129]
129,30 unequal: No Solution
Exploring Operation: 52*77=4004, Resulting Numbers: [4004]
4004,30 unequal: No Solution
Moving to Node #0,3,4
Current State: 30:[57, 72], Operations: ['78-58=20', '52+20=72']
Exploring Operation: 57+72=129, Resulting Numbers: [129]
129,30 unequal: No Solution
Exploring Operation: 57*72=4104, Resulting Numbers: [4104]
4104,30 unequal: No Solution
Exploring Operation: 72-57=15, Resulting Numbers: [15]
15,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 30:[52, 58, 21], Operations: ['78-57=21']
Exploring Operation: 58-21=37, Resulting Numbers: [52, 37]
Generated Node #0,2,0: 30:[52, 37] Operation: 58-21=37
Exploring Operation: 58-52=6, Resulting Numbers: [21, 6]
Generated Node #0,2,1: 30:[21, 6] Operation: 58-52=6
Exploring Operation: 52-21=31, Resulting Numbers: [58, 31]
Generated Node #0,2,2: 30:[58, 31] Operation: 52-21=31
Exploring Operation: 58+21=79, Resulting Numbers: [52, 79]
Generated Node #0,2,3: 30:[52, 79] Operation: 58+21=79
Exploring Operation: 52+21=73, Resulting Numbers: [58, 73]
Generated Node #0,2,4: 30:[58, 73] Operation: 52+21=73
Moving to Node #0,2,1
Current State: 30:[21, 6], Operations: ['78-57=21', '58-52=6']
Exploring Operation: 21+6=27, Resulting Numbers: [27]
27,30 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,30 unequal: No Solution
Exploring Operation: 21*6=126, Resulting Numbers: [126]
126,30 unequal: No Solution
Moving to Node #0,2,2
Current State: 30:[58, 31], Operations: ['78-57=21', '52-21=31']
Exploring Operation: 58-31=27, Resulting Numbers: [27]
27,30 unequal: No Solution
Exploring Operation: 58*31=1798, Resulting Numbers: [1798]
1798,30 unequal: No Solution
Exploring Operation: 58+31=89, Resulting Numbers: [89]
89,30 unequal: No Solution
Moving to Node #0,2,0
Current State: 30:[52, 37], Operations: ['78-57=21', '58-21=37']
Exploring Operation: 52+37=89, Resulting Numbers: [89]
89,30 unequal: No Solution
Exploring Operation: 52-37=15, Resulting Numbers: [15]
15,30 unequal: No Solution
Exploring Operation: 52*37=1924, Resulting Numbers: [1924]
1924,30 unequal: No Solution
Moving to Node #0,2,3
Current State: 30:[52, 79], Operations: ['78-57=21', '58+21=79']
Exploring Operation: 79-52=27, Resulting Numbers: [27]
27,30 unequal: No Solution
Exploring Operation: 52*79=4108, Resulting Numbers: [4108]
4108,30 unequal: No Solution
Exploring Operation: 52+79=131, Resulting Numbers: [131]
131,30 unequal: No Solution
Moving to Node #0,2,4
Current State: 30:[58, 73], Operations: ['78-57=21', '52+21=73']
Exploring Operation: 58*73=4234, Resulting Numbers: [4234]
4234,30 unequal: No Solution
Exploring Operation: 73-58=15, Resulting Numbers: [15]
15,30 unequal: No Solution
Exploring Operation: 58+73=131, Resulting Numbers: [131]
131,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[58, 57, 26], Operations: ['78-52=26']
Exploring Operation: 58-26=32, Resulting Numbers: [57, 32]
Generated Node #0,0,0: 30:[57, 32] Operation: 58-26=32
Exploring Operation: 57-26=31, Resulting Numbers: [58, 31]
Generated Node #0,0,1: 30:[58, 31] Operation: 57-26=31
Exploring Operation: 58-57=1, Resulting Numbers: [26, 1]
Generated Node #0,0,2: 30:[26, 1] Operation: 58-57=1
Exploring Operation: 58+26=84, Resulting Numbers: [57, 84]
Generated Node #0,0,3: 30:[57, 84] Operation: 58+26=84
Exploring Operation: 57+26=83, Resulting Numbers: [58, 83]
Generated Node #0,0,4: 30:[58, 83] Operation: 57+26=83
Moving to Node #0,0,2
Current State: 30:[26, 1], Operations: ['78-52=26', '58-57=1']
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,30 unequal: No Solution
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,30 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,30 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[58, 31], Operations: ['78-52=26', '57-26=31']
Exploring Operation: 58+31=89, Resulting Numbers: [89]
89,30 unequal: No Solution
Exploring Operation: 58-31=27, Resulting Numbers: [27]
27,30 unequal: No Solution
Exploring Operation: 58*31=1798, Resulting Numbers: [1798]
1798,30 unequal: No Solution
Moving to Node #0,0,0
Current State: 30:[57, 32], Operations: ['78-52=26', '58-26=32']
Exploring Operation: 57-32=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 57+32=89, Resulting Numbers: [89]
89,30 unequal: No Solution
Exploring Operation: 57*32=1824, Resulting Numbers: [1824]
1824,30 unequal: No Solution
Moving to Node #0,0,3
Current State: 30:[57, 84], Operations: ['78-52=26', '58+26=84']
Exploring Operation: 84-57=27, Resulting Numbers: [27]
27,30 unequal: No Solution
Exploring Operation: 57+84=141, Resulting Numbers: [141]
141,30 unequal: No Solution
Exploring Operation: 57*84=4788, Resulting Numbers: [4788]
4788,30 unequal: No Solution
Moving to Node #0,0,4
Current State: 30:[58, 83], Operations: ['78-52=26', '57+26=83']
Exploring Operation: 83-58=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 58*83=4814, Resulting Numbers: [4814]
4814,30 unequal: No Solution
Exploring Operation: 58+83=141, Resulting Numbers: [141]
141,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[52, 78, 1], Operations: ['58-57=1']
Exploring Operation: 78-52=26, Resulting Numbers: [1, 26]
Generated Node #0,1,0: 30:[1, 26] Operation: 78-52=26
Exploring Operation: 78-1=77, Resulting Numbers: [52, 77]
Generated Node #0,1,1: 30:[52, 77] Operation: 78-1=77
Exploring Operation: 52-1=51, Resulting Numbers: [78, 51]
Generated Node #0,1,2: 30:[78, 51] Operation: 52-1=51
Exploring Operation: 52/1=52, Resulting Numbers: [78, 52]
Generated Node #0,1,3: 30:[78, 52] Operation: 52/1=52
Exploring Operation: 52*1=52, Resulting Numbers: [78, 52]
Generated Node #0,1,4: 30:[78, 52] Operation: 52*1=52
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 30:[1, 26], Operations: ['58-57=1', '78-52=26']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 1+26=27, Resulting Numbers: [27]
27,30 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,30 unequal: No Solution
Exploring Operation: 1*26=26, Resulting Numbers: [26]
26,30 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 #0,1,1
Current State: 30:[52, 77], Operations: ['58-57=1', '78-1=77']
Exploring Operation: 77-52=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 52*77=4004, Resulting Numbers: [4004]
4004,30 unequal: No Solution
Exploring Operation: 52+77=129, Resulting Numbers: [129]
129,30 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:[78, 51], Operations: ['58-57=1', '52-1=51']
Exploring Operation: 78+51=129, Resulting Numbers: [129]
129,30 unequal: No Solution
Exploring Operation: 78*51=3978, Resulting Numbers: [3978]
3978,30 unequal: No Solution
Exploring Operation: 78-51=27, Resulting Numbers: [27]
27,30 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 #0,1,3
Current State: 30:[78, 52], Operations: ['58-57=1', '52/1=52']
Exploring Operation: 78*52=4056, Resulting Numbers: [4056]
4056,30 unequal: No Solution
Exploring Operation: 78+52=130, Resulting Numbers: [130]
130,30 unequal: No Solution
Exploring Operation: 78-52=26, Resulting Numbers: [26]
26,30 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 #0,1,4
Current State: 30:[78, 52], Operations: ['58-57=1', '52*1=52']
Exploring Operation: 78-52=26, Resulting Numbers: [26]
26,30 unequal: No Solution
Exploring Operation: 78+52=130, Resulting Numbers: [130]
130,30 unequal: No Solution
Exploring Operation: 78*52=4056, Resulting Numbers: [4056]
4056,30 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 #0,4
Current State: 30:[78, 57, 6], Operations: ['58-52=6']
Exploring Operation: 78-57=21, Resulting Numbers: [6, 21]
Generated Node #0,4,0: 30:[6, 21] Operation: 78-57=21
Exploring Operation: 57-6=51, Resulting Numbers: [78, 51]
Generated Node #0,4,1: 30:[78, 51] Operation: 57-6=51
Exploring Operation: 78+6=84, Resulting Numbers: [57, 84]
Generated Node #0,4,2: 30:[57, 84] Operation: 78+6=84
Exploring Operation: 78/6=13, Resulting Numbers: [57, 13]
Generated Node #0,4,3: 30:[57, 13] Operation: 78/6=13
Exploring Operation: 78-6=72, Resulting Numbers: [57, 72]
Generated Node #0,4,4: 30:[57, 72] Operation: 78-6=72
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 30:[6, 21], Operations: ['58-52=6', '78-57=21']
Exploring Operation: 6*21=126, Resulting Numbers: [126]
126,30 unequal: No Solution
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,30 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,30 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 #0,4,3
Current State: 30:[57, 13], Operations: ['58-52=6', '78/6=13']
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,30 unequal: No Solution
Exploring Operation: 57*13=741, Resulting Numbers: [741]
741,30 unequal: No Solution
Exploring Operation: 57+13=70, Resulting Numbers: [70]
70,30 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 #0,4,1
Current State: 30:[78, 51], Operations: ['58-52=6', '57-6=51']
Exploring Operation: 78+51=129, Resulting Numbers: [129]
129,30 unequal: No Solution
Exploring Operation: 78-51=27, Resulting Numbers: [27]
27,30 unequal: No Solution
Exploring Operation: 78*51=3978, Resulting Numbers: [3978]
3978,30 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 #0,4,4
Current State: 30:[57, 72], Operations: ['58-52=6', '78-6=72']
Exploring Operation: 57+72=129, Resulting Numbers: [129]
129,30 unequal: No Solution
Exploring Operation: 72-57=15, Resulting Numbers: [15]
15,30 unequal: No Solution
Exploring Operation: 57*72=4104, Resulting Numbers: [4104]
4104,30 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 #0,4,2
Current State: 30:[57, 84], Operations: ['58-52=6', '78+6=84']
Exploring Operation: 84-57=27, Resulting Numbers: [27]
27,30 unequal: No Solution
Exploring Operation: 57*84=4788, Resulting Numbers: [4788]
4788,30 unequal: No Solution
Exploring Operation: 57+84=141, Resulting Numbers: [141]
141,30 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
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
4,
67,
78,
98
] | 92 |
[
"4*67=268",
"78+98=176",
"268-176=92"
] |
Current State: 92:[4, 67, 78, 98], Operations: []
Exploring Operation: 4*67=268, Resulting Numbers: [78, 98, 268]
Generated Node #2: [78, 98, 268] from Operation: 4*67=268
Current State: 92:[78, 98, 268], Operations: ['4*67=268']
Exploring Operation: 78+98=176, Resulting Numbers: [268, 176]
Generated Node #3: [268, 176] from Operation: 78+98=176
Current State: 92:[268, 176], Operations: ['4*67=268', '78+98=176']
Exploring Operation: 268-176=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
Current State: 92:[4, 67, 78, 98], Operations: []
Exploring Operation: 67-4=63, Resulting Numbers: [78, 98, 63]
Generated Node #0,0: 92:[78, 98, 63] Operation: 67-4=63
Exploring Operation: 98-67=31, Resulting Numbers: [4, 78, 31]
Generated Node #0,1: 92:[4, 78, 31] Operation: 98-67=31
Exploring Operation: 98-78=20, Resulting Numbers: [4, 67, 20]
Generated Node #0,2: 92:[4, 67, 20] Operation: 98-78=20
Exploring Operation: 78-67=11, Resulting Numbers: [4, 98, 11]
Generated Node #0,3: 92:[4, 98, 11] Operation: 78-67=11
Moving to Node #0,3
Current State: 92:[4, 98, 11], Operations: ['78-67=11']
Exploring Operation: 11-4=7, Resulting Numbers: [98, 7]
Generated Node #0,3,0: 92:[98, 7] Operation: 11-4=7
Exploring Operation: 98-11=87, Resulting Numbers: [4, 87]
Generated Node #0,3,1: 92:[4, 87] Operation: 98-11=87
Exploring Operation: 98-4=94, Resulting Numbers: [11, 94]
Generated Node #0,3,2: 92:[11, 94] Operation: 98-4=94
Exploring Operation: 4*11=44, Resulting Numbers: [98, 44]
Generated Node #0,3,3: 92:[98, 44] Operation: 4*11=44
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 92:[4, 87], Operations: ['78-67=11', '98-11=87']
Exploring Operation: 4*87=348, Resulting Numbers: [348]
348,92 unequal: No Solution
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,92 unequal: No Solution
Exploring Operation: 4+87=91, Resulting Numbers: [91]
91,92 unequal: No Solution
No 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: 92:[98, 44], Operations: ['78-67=11', '4*11=44']
Exploring Operation: 98*44=4312, Resulting Numbers: [4312]
4312,92 unequal: No Solution
Exploring Operation: 98+44=142, Resulting Numbers: [142]
142,92 unequal: No Solution
Exploring Operation: 98-44=54, Resulting Numbers: [54]
54,92 unequal: No Solution
No 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: 92:[98, 7], Operations: ['78-67=11', '11-4=7']
Exploring Operation: 98+7=105, Resulting Numbers: [105]
105,92 unequal: No Solution
Exploring Operation: 98-7=91, Resulting Numbers: [91]
91,92 unequal: No Solution
Exploring Operation: 98/7=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Exploring Operation: 98*7=686, Resulting Numbers: [686]
686,92 unequal: No Solution
No 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: 92:[11, 94], Operations: ['78-67=11', '98-4=94']
Exploring Operation: 94-11=83, Resulting Numbers: [83]
83,92 unequal: No Solution
Exploring Operation: 11*94=1034, Resulting Numbers: [1034]
1034,92 unequal: No Solution
Exploring Operation: 11+94=105, Resulting Numbers: [105]
105,92 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: 92:[4, 78, 31], Operations: ['98-67=31']
Exploring Operation: 31-4=27, Resulting Numbers: [78, 27]
Generated Node #0,1,0: 92:[78, 27] Operation: 31-4=27
Exploring Operation: 78+31=109, Resulting Numbers: [4, 109]
Generated Node #0,1,1: 92:[4, 109] Operation: 78+31=109
Exploring Operation: 4+78=82, Resulting Numbers: [31, 82]
Generated Node #0,1,2: 92:[31, 82] Operation: 4+78=82
Exploring Operation: 78-31=47, Resulting Numbers: [4, 47]
Generated Node #0,1,3: 92:[4, 47] Operation: 78-31=47
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 92:[4, 47], Operations: ['98-67=31', '78-31=47']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,92 unequal: No Solution
Exploring Operation: 4+47=51, Resulting Numbers: [51]
51,92 unequal: No Solution
Exploring Operation: 4*47=188, Resulting Numbers: [188]
188,92 unequal: No Solution
No 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: 92:[4, 109], Operations: ['98-67=31', '78+31=109']
Exploring Operation: 109-4=105, Resulting Numbers: [105]
105,92 unequal: No Solution
Exploring Operation: 4*109=436, Resulting Numbers: [436]
436,92 unequal: No Solution
Exploring Operation: 4+109=113, Resulting Numbers: [113]
113,92 unequal: No Solution
No 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: 92:[78, 27], Operations: ['98-67=31', '31-4=27']
Exploring Operation: 78*27=2106, Resulting Numbers: [2106]
2106,92 unequal: No Solution
Exploring Operation: 78+27=105, Resulting Numbers: [105]
105,92 unequal: No Solution
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,92 unequal: No Solution
No 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: 92:[31, 82], Operations: ['98-67=31', '4+78=82']
Exploring Operation: 82-31=51, Resulting Numbers: [51]
51,92 unequal: No Solution
Exploring Operation: 31+82=113, Resulting Numbers: [113]
113,92 unequal: No Solution
Exploring Operation: 31*82=2542, Resulting Numbers: [2542]
2542,92 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: 92:[4, 67, 20], Operations: ['98-78=20']
Exploring Operation: 67+20=87, Resulting Numbers: [4, 87]
Generated Node #0,2,0: 92:[4, 87] Operation: 67+20=87
Exploring Operation: 67-4=63, Resulting Numbers: [20, 63]
Generated Node #0,2,1: 92:[20, 63] Operation: 67-4=63
Exploring Operation: 67-20=47, Resulting Numbers: [4, 47]
Generated Node #0,2,2: 92:[4, 47] Operation: 67-20=47
Exploring Operation: 4+20=24, Resulting Numbers: [67, 24]
Generated Node #0,2,3: 92:[67, 24] Operation: 4+20=24
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 92:[4, 47], Operations: ['98-78=20', '67-20=47']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,92 unequal: No Solution
Exploring Operation: 4+47=51, Resulting Numbers: [51]
51,92 unequal: No Solution
Exploring Operation: 4*47=188, Resulting Numbers: [188]
188,92 unequal: No Solution
No 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: 92:[4, 87], Operations: ['98-78=20', '67+20=87']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,92 unequal: No Solution
Exploring Operation: 4*87=348, Resulting Numbers: [348]
348,92 unequal: No Solution
Exploring Operation: 4+87=91, Resulting Numbers: [91]
91,92 unequal: No Solution
No 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: 92:[20, 63], Operations: ['98-78=20', '67-4=63']
Exploring Operation: 20+63=83, Resulting Numbers: [83]
83,92 unequal: No Solution
Exploring Operation: 20*63=1260, Resulting Numbers: [1260]
1260,92 unequal: No Solution
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,92 unequal: No Solution
No 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: 92:[67, 24], Operations: ['98-78=20', '4+20=24']
Exploring Operation: 67*24=1608, Resulting Numbers: [1608]
1608,92 unequal: No Solution
Exploring Operation: 67+24=91, Resulting Numbers: [91]
91,92 unequal: No Solution
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,92 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: 92:[78, 98, 63], Operations: ['67-4=63']
Exploring Operation: 98-63=35, Resulting Numbers: [78, 35]
Generated Node #0,0,0: 92:[78, 35] Operation: 98-63=35
Exploring Operation: 78+63=141, Resulting Numbers: [98, 141]
Generated Node #0,0,1: 92:[98, 141] Operation: 78+63=141
Exploring Operation: 78-63=15, Resulting Numbers: [98, 15]
Generated Node #0,0,2: 92:[98, 15] Operation: 78-63=15
Exploring Operation: 98-78=20, Resulting Numbers: [63, 20]
Generated Node #0,0,3: 92:[63, 20] Operation: 98-78=20
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 92:[98, 15], Operations: ['67-4=63', '78-63=15']
Exploring Operation: 98+15=113, Resulting Numbers: [113]
113,92 unequal: No Solution
Exploring Operation: 98-15=83, Resulting Numbers: [83]
83,92 unequal: No Solution
Exploring Operation: 98*15=1470, Resulting Numbers: [1470]
1470,92 unequal: No Solution
No 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: 92:[63, 20], Operations: ['67-4=63', '98-78=20']
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,92 unequal: No Solution
Exploring Operation: 63*20=1260, Resulting Numbers: [1260]
1260,92 unequal: No Solution
Exploring Operation: 63+20=83, Resulting Numbers: [83]
83,92 unequal: No Solution
No 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: 92:[78, 35], Operations: ['67-4=63', '98-63=35']
Exploring Operation: 78+35=113, Resulting Numbers: [113]
113,92 unequal: No Solution
Exploring Operation: 78-35=43, Resulting Numbers: [43]
43,92 unequal: No Solution
Exploring Operation: 78*35=2730, Resulting Numbers: [2730]
2730,92 unequal: No Solution
No 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: 92:[98, 141], Operations: ['67-4=63', '78+63=141']
Exploring Operation: 98*141=13818, Resulting Numbers: [13818]
13818,92 unequal: No Solution
Exploring Operation: 141-98=43, Resulting Numbers: [43]
43,92 unequal: No Solution
Exploring Operation: 98+141=239, Resulting Numbers: [239]
239,92 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
|
[
2,
53,
20,
29
] | 34 |
[
"20/2=10",
"53-29=24",
"10+24=34"
] |
Current State: 34:[2, 53, 20, 29], Operations: []
Exploring Operation: 20/2=10, Resulting Numbers: [53, 29, 10]
Generated Node #2: [53, 29, 10] from Operation: 20/2=10
Current State: 34:[53, 29, 10], Operations: ['20/2=10']
Exploring Operation: 53-29=24, Resulting Numbers: [10, 24]
Generated Node #3: [10, 24] from Operation: 53-29=24
Current State: 34:[10, 24], Operations: ['20/2=10', '53-29=24']
Exploring Operation: 10+24=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
Current State: 34:[2, 53, 20, 29], Operations: []
Exploring Operation: 53-20=33, Resulting Numbers: [2, 29, 33]
Generated Node #0,0: 34:[2, 29, 33] Operation: 53-20=33
Exploring Operation: 53-29=24, Resulting Numbers: [2, 20, 24]
Generated Node #0,1: 34:[2, 20, 24] Operation: 53-29=24
Exploring Operation: 53-2=51, Resulting Numbers: [20, 29, 51]
Generated Node #0,2: 34:[20, 29, 51] Operation: 53-2=51
Moving to Node #0,0
Current State: 34:[2, 29, 33], Operations: ['53-20=33']
Exploring Operation: 2+29=31, Resulting Numbers: [33, 31]
Generated Node #0,0,0: 34:[33, 31] Operation: 2+29=31
Exploring Operation: 33-29=4, Resulting Numbers: [2, 4]
Generated Node #0,0,1: 34:[2, 4] Operation: 33-29=4
Exploring Operation: 2+33=35, Resulting Numbers: [29, 35]
Generated Node #0,0,2: 34:[29, 35] Operation: 2+33=35
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 34:[2, 4], Operations: ['53-20=33', '33-29=4']
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,34 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 34:[33, 31], Operations: ['53-20=33', '2+29=31']
Exploring Operation: 33-31=2, Resulting Numbers: [2]
2,34 unequal: No Solution
Exploring Operation: 33*31=1023, Resulting Numbers: [1023]
1023,34 unequal: No Solution
Exploring Operation: 33+31=64, Resulting Numbers: [64]
64,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 34:[29, 35], Operations: ['53-20=33', '2+33=35']
Exploring Operation: 29+35=64, Resulting Numbers: [64]
64,34 unequal: No Solution
Exploring Operation: 35-29=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Exploring Operation: 29*35=1015, Resulting Numbers: [1015]
1015,34 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: 34:[2, 20, 24], Operations: ['53-29=24']
Exploring Operation: 24-20=4, Resulting Numbers: [2, 4]
Generated Node #0,1,0: 34:[2, 4] Operation: 24-20=4
Exploring Operation: 24-2=22, Resulting Numbers: [20, 22]
Generated Node #0,1,1: 34:[20, 22] Operation: 24-2=22
Exploring Operation: 20-2=18, Resulting Numbers: [24, 18]
Generated Node #0,1,2: 34:[24, 18] Operation: 20-2=18
Moving to Node #0,2
Current State: 34:[20, 29, 51], Operations: ['53-2=51']
Exploring Operation: 29-20=9, Resulting Numbers: [51, 9]
Generated Node #0,2,0: 34:[51, 9] Operation: 29-20=9
Exploring Operation: 51-29=22, Resulting Numbers: [20, 22]
Generated Node #0,2,1: 34:[20, 22] Operation: 51-29=22
Exploring Operation: 51-20=31, Resulting Numbers: [29, 31]
Generated Node #0,2,2: 34:[29, 31] Operation: 51-20=31
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 34:[20, 22], Operations: ['53-2=51', '51-29=22']
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,34 unequal: No Solution
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 34:[29, 31], Operations: ['53-2=51', '51-20=31']
Exploring Operation: 31-29=2, Resulting Numbers: [2]
2,34 unequal: No Solution
Exploring Operation: 29+31=60, Resulting Numbers: [60]
60,34 unequal: No Solution
Exploring Operation: 29*31=899, Resulting Numbers: [899]
899,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 34:[51, 9], Operations: ['53-2=51', '29-20=9']
Exploring Operation: 51-9=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Exploring Operation: 51+9=60, Resulting Numbers: [60]
60,34 unequal: No Solution
Exploring Operation: 51*9=459, Resulting Numbers: [459]
459,34 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: 34:[2, 4], Operations: ['53-29=24', '24-20=4']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,34 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,34 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Moving to Node #0,1,1
Current State: 34:[20, 22], Operations: ['53-29=24', '24-2=22']
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,34 unequal: No Solution
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,34 unequal: No Solution
Moving to Node #0,1,2
Current State: 34:[24, 18], Operations: ['53-29=24', '20-2=18']
Exploring Operation: 24+18=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Exploring Operation: 24*18=432, Resulting Numbers: [432]
432,34 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,34 unequal: No Solution
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
98,
48,
3,
5
] | 30 |
[
"98-48=50",
"3*50=150",
"150/5=30"
] |
Current State: 30:[98, 48, 3, 5], Operations: []
Exploring Operation: 98-48=50, Resulting Numbers: [3, 5, 50]
Generated Node #2: [3, 5, 50] from Operation: 98-48=50
Current State: 30:[3, 5, 50], Operations: ['98-48=50']
Exploring Operation: 3*50=150, Resulting Numbers: [5, 150]
Generated Node #3: [5, 150] from Operation: 3*50=150
Current State: 30:[5, 150], Operations: ['98-48=50', '3*50=150']
Exploring Operation: 150/5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
Current State: 30:[98, 48, 3, 5], Operations: []
Exploring Operation: 98-48=50, Resulting Numbers: [3, 5, 50]
Generated Node #0,0: 30:[3, 5, 50] Operation: 98-48=50
Moving to Node #0,0
Current State: 30:[3, 5, 50], Operations: ['98-48=50']
Exploring Operation: 50/5=10, Resulting Numbers: [3, 10]
Generated Node #0,0,0: 30:[3, 10] Operation: 50/5=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[3, 10], Operations: ['98-48=50', '50/5=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[98, 48, 3, 5], Operations: []
Exploring Operation: 98-48=50, Resulting Numbers: [3, 5, 50]
Generated Node #0,0: 30:[3, 5, 50] Operation: 98-48=50
Moving to Node #0,0
Current State: 30:[3, 5, 50], Operations: ['98-48=50']
Exploring Operation: 50/5=10, Resulting Numbers: [3, 10]
Generated Node #0,0,0: 30:[3, 10] Operation: 50/5=10
Moving to Node #0,0,0
Current State: 30:[3, 10], Operations: ['98-48=50', '50/5=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
sum_heuristic
|
[
51,
9,
9,
91
] | 22 |
[
"51+9=60",
"91-9=82",
"82-60=22"
] |
Current State: 22:[51, 9, 9, 91], Operations: []
Exploring Operation: 51+9=60, Resulting Numbers: [91, 60]
Generated Node #2: [91, 60] from Operation: 51+9=60
Current State: 22:[91, 60], Operations: ['51+9=60']
Exploring Operation: 91-9=82, Resulting Numbers: [60, 82]
Generated Node #3: [60, 82] from Operation: 91-9=82
Current State: 22:[60, 82], Operations: ['51+9=60', '91-9=82']
Exploring Operation: 82-60=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
Current State: 22:[51, 9, 9, 91], Operations: []
Exploring Operation: 91-51=40, Resulting Numbers: [9, 9, 40]
Generated Node #0,0: 22:[9, 9, 40] Operation: 91-51=40
Exploring Operation: 91-9=82, Resulting Numbers: [51, 9, 82]
Generated Node #0,1: 22:[51, 9, 82] Operation: 91-9=82
Exploring Operation: 51-9=42, Resulting Numbers: [9, 91, 42]
Generated Node #0,2: 22:[9, 91, 42] Operation: 51-9=42
Exploring Operation: 51-9=42, Resulting Numbers: [9, 91, 42]
Generated Node #0,3: 22:[9, 91, 42] Operation: 51-9=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[9, 9, 40], Operations: ['91-51=40']
Exploring Operation: 9/9=1, Resulting Numbers: [40, 1]
Generated Node #0,0,0: 22:[40, 1] Operation: 9/9=1
Exploring Operation: 40-9=31, Resulting Numbers: [9, 31]
Generated Node #0,0,1: 22:[9, 31] Operation: 40-9=31
Exploring Operation: 9-9=0, Resulting Numbers: [40, 0]
Generated Node #0,0,2: 22:[40, 0] Operation: 9-9=0
Exploring Operation: 40-9=31, Resulting Numbers: [9, 31]
Generated Node #0,0,3: 22:[9, 31] Operation: 40-9=31
Moving to Node #0,0,1
Current State: 22:[9, 31], Operations: ['91-51=40', '40-9=31']
Exploring Operation: 9+31=40, Resulting Numbers: [40]
40,22 unequal: No Solution
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[51, 9, 9, 91], Operations: []
Exploring Operation: 91-51=40, Resulting Numbers: [9, 9, 40]
Generated Node #0,0: 22:[9, 9, 40] Operation: 91-51=40
Moving to Node #0,0
Current State: 22:[9, 9, 40], Operations: ['91-51=40']
Exploring Operation: 40-9=31, Resulting Numbers: [9, 31]
Generated Node #0,0,1: 22:[9, 31] Operation: 40-9=31
Moving to Node #0,0,1
Current State: 22:[9, 31], Operations: ['91-51=40', '40-9=31']
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 |
hs_4
|
sum_heuristic
|
[
92,
74,
54,
86
] | 26 |
[
"92+74=166",
"54+86=140",
"166-140=26"
] |
Current State: 26:[92, 74, 54, 86], Operations: []
Exploring Operation: 92+74=166, Resulting Numbers: [54, 86, 166]
Generated Node #2: [54, 86, 166] from Operation: 92+74=166
Current State: 26:[54, 86, 166], Operations: ['92+74=166']
Exploring Operation: 54+86=140, Resulting Numbers: [166, 140]
Generated Node #3: [166, 140] from Operation: 54+86=140
Current State: 26:[166, 140], Operations: ['92+74=166', '54+86=140']
Exploring Operation: 166-140=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
Current State: 26:[92, 74, 54, 86], Operations: []
Exploring Operation: 92-74=18, Resulting Numbers: [54, 86, 18]
Generated Node #0,0: 26:[54, 86, 18] Operation: 92-74=18
Exploring Operation: 92-54=38, Resulting Numbers: [74, 86, 38]
Generated Node #0,1: 26:[74, 86, 38] Operation: 92-54=38
Exploring Operation: 86-54=32, Resulting Numbers: [92, 74, 32]
Generated Node #0,2: 26:[92, 74, 32] Operation: 86-54=32
Exploring Operation: 86-74=12, Resulting Numbers: [92, 54, 12]
Generated Node #0,3: 26:[92, 54, 12] Operation: 86-74=12
Exploring Operation: 92-86=6, Resulting Numbers: [74, 54, 6]
Generated Node #0,4: 26:[74, 54, 6] Operation: 92-86=6
Moving to Node #0,4
Current State: 26:[74, 54, 6], Operations: ['92-86=6']
Exploring Operation: 74-6=68, Resulting Numbers: [54, 68]
Generated Node #0,4,0: 26:[54, 68] Operation: 74-6=68
Exploring Operation: 54/6=9, Resulting Numbers: [74, 9]
Generated Node #0,4,1: 26:[74, 9] Operation: 54/6=9
Exploring Operation: 74+6=80, Resulting Numbers: [54, 80]
Generated Node #0,4,2: 26:[54, 80] Operation: 74+6=80
Exploring Operation: 54-6=48, Resulting Numbers: [74, 48]
Generated Node #0,4,3: 26:[74, 48] Operation: 54-6=48
Exploring Operation: 74-54=20, Resulting Numbers: [6, 20]
Generated Node #0,4,4: 26:[6, 20] Operation: 74-54=20
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 26:[6, 20], Operations: ['92-86=6', '74-54=20']
Exploring Operation: 6*20=120, Resulting Numbers: [120]
120,26 unequal: No Solution
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,26 unequal: No Solution
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[92, 74, 54, 86], Operations: []
Exploring Operation: 92-86=6, Resulting Numbers: [74, 54, 6]
Generated Node #0,4: 26:[74, 54, 6] Operation: 92-86=6
Moving to Node #0,4
Current State: 26:[74, 54, 6], Operations: ['92-86=6']
Exploring Operation: 74-54=20, Resulting Numbers: [6, 20]
Generated Node #0,4,4: 26:[6, 20] Operation: 74-54=20
Moving to Node #0,4,4
Current State: 26:[6, 20], Operations: ['92-86=6', '74-54=20']
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 |
hs_5
|
mult_heuristic
|
[
87,
29,
52,
78
] | 78 |
[
"87/29=3",
"78-52=26",
"3*26=78"
] |
Current State: 78:[87, 29, 52, 78], Operations: []
Exploring Operation: 87/29=3, Resulting Numbers: [52, 78, 3]
Generated Node #2: [52, 78, 3] from Operation: 87/29=3
Current State: 78:[52, 78, 3], Operations: ['87/29=3']
Exploring Operation: 78-52=26, Resulting Numbers: [3, 26]
Generated Node #3: [3, 26] from Operation: 78-52=26
Current State: 78:[3, 26], Operations: ['87/29=3', '78-52=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
Current State: 78:[87, 29, 52, 78], Operations: []
Exploring Operation: 29+52=81, Resulting Numbers: [87, 78, 81]
Generated Node #0,0: 78:[87, 78, 81] Operation: 29+52=81
Exploring Operation: 78-52=26, Resulting Numbers: [87, 29, 26]
Generated Node #0,1: 78:[87, 29, 26] Operation: 78-52=26
Exploring Operation: 87-52=35, Resulting Numbers: [29, 78, 35]
Generated Node #0,2: 78:[29, 78, 35] Operation: 87-52=35
Exploring Operation: 52-29=23, Resulting Numbers: [87, 78, 23]
Generated Node #0,3: 78:[87, 78, 23] Operation: 52-29=23
Moving to Node #0,2
Current State: 78:[29, 78, 35], Operations: ['87-52=35']
Exploring Operation: 78-29=49, Resulting Numbers: [35, 49]
Generated Node #0,2,0: 78:[35, 49] Operation: 78-29=49
Exploring Operation: 35-29=6, Resulting Numbers: [78, 6]
Generated Node #0,2,1: 78:[78, 6] Operation: 35-29=6
Exploring Operation: 29+35=64, Resulting Numbers: [78, 64]
Generated Node #0,2,2: 78:[78, 64] Operation: 29+35=64
Exploring Operation: 78-35=43, Resulting Numbers: [29, 43]
Generated Node #0,2,3: 78:[29, 43] Operation: 78-35=43
Moving to Node #0,1
Current State: 78:[87, 29, 26], Operations: ['78-52=26']
Exploring Operation: 87-26=61, Resulting Numbers: [29, 61]
Generated Node #0,1,0: 78:[29, 61] Operation: 87-26=61
Exploring Operation: 87-29=58, Resulting Numbers: [26, 58]
Generated Node #0,1,1: 78:[26, 58] Operation: 87-29=58
Exploring Operation: 87/29=3, Resulting Numbers: [26, 3]
Generated Node #0,1,2: 78:[26, 3] Operation: 87/29=3
Exploring Operation: 29-26=3, Resulting Numbers: [87, 3]
Generated Node #0,1,3: 78:[87, 3] Operation: 29-26=3
Moving to Node #0,0
Current State: 78:[87, 78, 81], Operations: ['29+52=81']
Exploring Operation: 87-78=9, Resulting Numbers: [81, 9]
Generated Node #0,0,0: 78:[81, 9] Operation: 87-78=9
Exploring Operation: 87+78=165, Resulting Numbers: [81, 165]
Generated Node #0,0,1: 78:[81, 165] Operation: 87+78=165
Exploring Operation: 87-81=6, Resulting Numbers: [78, 6]
Generated Node #0,0,2: 78:[78, 6] Operation: 87-81=6
Exploring Operation: 81-78=3, Resulting Numbers: [87, 3]
Generated Node #0,0,3: 78:[87, 3] Operation: 81-78=3
Moving to Node #0,3
Current State: 78:[87, 78, 23], Operations: ['52-29=23']
Exploring Operation: 78-23=55, Resulting Numbers: [87, 55]
Generated Node #0,3,0: 78:[87, 55] Operation: 78-23=55
Exploring Operation: 87+23=110, Resulting Numbers: [78, 110]
Generated Node #0,3,1: 78:[78, 110] Operation: 87+23=110
Exploring Operation: 87-23=64, Resulting Numbers: [78, 64]
Generated Node #0,3,2: 78:[78, 64] Operation: 87-23=64
Exploring Operation: 87-78=9, Resulting Numbers: [23, 9]
Generated Node #0,3,3: 78:[23, 9] Operation: 87-78=9
Moving to Node #0,2,1
Current State: 78:[78, 6], Operations: ['87-52=35', '35-29=6']
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,78 unequal: No Solution
Exploring Operation: 78*6=468, Resulting Numbers: [468]
468,78 unequal: No Solution
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,78 unequal: No Solution
Exploring Operation: 78+6=84, Resulting Numbers: [84]
84,78 unequal: No Solution
Moving to Node #0,1,2
Current State: 78:[26, 3], Operations: ['78-52=26', '87/29=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[87, 29, 52, 78], Operations: []
Exploring Operation: 78-52=26, Resulting Numbers: [87, 29, 26]
Generated Node #0,1: 78:[87, 29, 26] Operation: 78-52=26
Moving to Node #0,1
Current State: 78:[87, 29, 26], Operations: ['78-52=26']
Exploring Operation: 87/29=3, Resulting Numbers: [26, 3]
Generated Node #0,1,2: 78:[26, 3] Operation: 87/29=3
Moving to Node #0,1,2
Current State: 78:[26, 3], Operations: ['78-52=26', '87/29=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.974826 |
hs_4
|
sum_heuristic
|
[
4,
97,
50,
52
] | 99 |
[
"4+97=101",
"52-50=2",
"101-2=99"
] |
Current State: 99:[4, 97, 50, 52], Operations: []
Exploring Operation: 4+97=101, Resulting Numbers: [50, 52, 101]
Generated Node #2: [50, 52, 101] from Operation: 4+97=101
Current State: 99:[50, 52, 101], Operations: ['4+97=101']
Exploring Operation: 52-50=2, Resulting Numbers: [101, 2]
Generated Node #3: [101, 2] from Operation: 52-50=2
Current State: 99:[101, 2], Operations: ['4+97=101', '52-50=2']
Exploring Operation: 101-2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
Current State: 99:[4, 97, 50, 52], Operations: []
Exploring Operation: 97-52=45, Resulting Numbers: [4, 50, 45]
Generated Node #0,0: 99:[4, 50, 45] Operation: 97-52=45
Exploring Operation: 52-50=2, Resulting Numbers: [4, 97, 2]
Generated Node #0,1: 99:[4, 97, 2] Operation: 52-50=2
Exploring Operation: 50+52=102, Resulting Numbers: [4, 97, 102]
Generated Node #0,2: 99:[4, 97, 102] Operation: 50+52=102
Exploring Operation: 52/4=13, Resulting Numbers: [97, 50, 13]
Generated Node #0,3: 99:[97, 50, 13] Operation: 52/4=13
Moving to Node #0,1
Current State: 99:[4, 97, 2], Operations: ['52-50=2']
Exploring Operation: 4*2=8, Resulting Numbers: [97, 8]
Generated Node #0,1,0: 99:[97, 8] Operation: 4*2=8
Exploring Operation: 4+97=101, Resulting Numbers: [2, 101]
Generated Node #0,1,1: 99:[2, 101] Operation: 4+97=101
Exploring Operation: 97+2=99, Resulting Numbers: [4, 99]
Generated Node #0,1,2: 99:[4, 99] Operation: 97+2=99
Exploring Operation: 4-2=2, Resulting Numbers: [97, 2]
Generated Node #0,1,3: 99:[97, 2] Operation: 4-2=2
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 99:[4, 99], Operations: ['52-50=2', '97+2=99']
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,99 unequal: No Solution
Exploring Operation: 4*99=396, Resulting Numbers: [396]
396,99 unequal: No Solution
Exploring Operation: 4+99=103, Resulting Numbers: [103]
103,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 99:[97, 8], Operations: ['52-50=2', '4*2=8']
Exploring Operation: 97-8=89, Resulting Numbers: [89]
89,99 unequal: No Solution
Exploring Operation: 97+8=105, Resulting Numbers: [105]
105,99 unequal: No Solution
Exploring Operation: 97*8=776, Resulting Numbers: [776]
776,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 99:[2, 101], Operations: ['52-50=2', '4+97=101']
Exploring Operation: 2*101=202, Resulting Numbers: [202]
202,99 unequal: No Solution
Exploring Operation: 101-2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[4, 97, 50, 52], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [4, 97, 2]
Generated Node #0,1: 99:[4, 97, 2] Operation: 52-50=2
Moving to Node #0,1
Current State: 99:[4, 97, 2], Operations: ['52-50=2']
Exploring Operation: 4+97=101, Resulting Numbers: [2, 101]
Generated Node #0,1,1: 99:[2, 101] Operation: 4+97=101
Moving to Node #0,1,1
Current State: 99:[2, 101], Operations: ['52-50=2', '4+97=101']
Exploring Operation: 101-2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 |
hs_4
|
mult_heuristic
|
[
63,
59,
11,
24
] | 39 |
[
"63-59=4",
"11+24=35",
"4+35=39"
] |
Current State: 39:[63, 59, 11, 24], Operations: []
Exploring Operation: 63-59=4, Resulting Numbers: [11, 24, 4]
Generated Node #2: [11, 24, 4] from Operation: 63-59=4
Current State: 39:[11, 24, 4], Operations: ['63-59=4']
Exploring Operation: 11+24=35, Resulting Numbers: [4, 35]
Generated Node #3: [4, 35] from Operation: 11+24=35
Current State: 39:[4, 35], Operations: ['63-59=4', '11+24=35']
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
Current State: 39:[63, 59, 11, 24], Operations: []
Exploring Operation: 63-24=39, Resulting Numbers: [59, 11, 39]
Generated Node #0,0: 39:[59, 11, 39] Operation: 63-24=39
Exploring Operation: 63-59=4, Resulting Numbers: [11, 24, 4]
Generated Node #0,1: 39:[11, 24, 4] Operation: 63-59=4
Exploring Operation: 59-24=35, Resulting Numbers: [63, 11, 35]
Generated Node #0,2: 39:[63, 11, 35] Operation: 59-24=35
Moving to Node #0,1
Current State: 39:[11, 24, 4], Operations: ['63-59=4']
Exploring Operation: 24-11=13, Resulting Numbers: [4, 13]
Generated Node #0,1,0: 39:[4, 13] Operation: 24-11=13
Exploring Operation: 24/4=6, Resulting Numbers: [11, 6]
Generated Node #0,1,1: 39:[11, 6] Operation: 24/4=6
Exploring Operation: 11+24=35, Resulting Numbers: [4, 35]
Generated Node #0,1,2: 39:[4, 35] Operation: 11+24=35
Moving to Node #0,0
Current State: 39:[59, 11, 39], Operations: ['63-24=39']
Exploring Operation: 59+11=70, Resulting Numbers: [39, 70]
Generated Node #0,0,0: 39:[39, 70] Operation: 59+11=70
Exploring Operation: 59-11=48, Resulting Numbers: [39, 48]
Generated Node #0,0,1: 39:[39, 48] Operation: 59-11=48
Exploring Operation: 59-39=20, Resulting Numbers: [11, 20]
Generated Node #0,0,2: 39:[11, 20] Operation: 59-39=20
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 39:[39, 48], Operations: ['63-24=39', '59-11=48']
Exploring Operation: 39*48=1872, Resulting Numbers: [1872]
1872,39 unequal: No Solution
Exploring Operation: 39+48=87, Resulting Numbers: [87]
87,39 unequal: No Solution
Exploring Operation: 48-39=9, Resulting Numbers: [9]
9,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 39:[11, 20], Operations: ['63-24=39', '59-39=20']
Exploring Operation: 11*20=220, Resulting Numbers: [220]
220,39 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Exploring Operation: 11+20=31, Resulting Numbers: [31]
31,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[39, 70], Operations: ['63-24=39', '59+11=70']
Exploring Operation: 39+70=109, Resulting Numbers: [109]
109,39 unequal: No Solution
Exploring Operation: 70-39=31, Resulting Numbers: [31]
31,39 unequal: No Solution
Exploring Operation: 39*70=2730, Resulting Numbers: [2730]
2730,39 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: 39:[63, 11, 35], Operations: ['59-24=35']
Exploring Operation: 63-35=28, Resulting Numbers: [11, 28]
Generated Node #0,2,0: 39:[11, 28] Operation: 63-35=28
Exploring Operation: 63-11=52, Resulting Numbers: [35, 52]
Generated Node #0,2,1: 39:[35, 52] Operation: 63-11=52
Exploring Operation: 11+35=46, Resulting Numbers: [63, 46]
Generated Node #0,2,2: 39:[63, 46] Operation: 11+35=46
Moving to Node #0,1,0
Current State: 39:[4, 13], Operations: ['63-59=4', '24-11=13']
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,39 unequal: No Solution
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[4, 35], Operations: ['63-59=4', '11+24=35']
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,39 unequal: No Solution
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,39 unequal: No Solution
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[63, 59, 11, 24], Operations: []
Exploring Operation: 63-59=4, Resulting Numbers: [11, 24, 4]
Generated Node #0,1: 39:[11, 24, 4] Operation: 63-59=4
Moving to Node #0,1
Current State: 39:[11, 24, 4], Operations: ['63-59=4']
Exploring Operation: 11+24=35, Resulting Numbers: [4, 35]
Generated Node #0,1,2: 39:[4, 35] Operation: 11+24=35
Moving to Node #0,1,2
Current State: 39:[4, 35], Operations: ['63-59=4', '11+24=35']
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 0.97309 |
hs_3
|
sum_heuristic
|
[
23,
74,
79,
6
] | 22 |
[
"74-23=51",
"79-6=73",
"73-51=22"
] |
Current State: 22:[23, 74, 79, 6], Operations: []
Exploring Operation: 74-23=51, Resulting Numbers: [79, 6, 51]
Generated Node #2: [79, 6, 51] from Operation: 74-23=51
Current State: 22:[79, 6, 51], Operations: ['74-23=51']
Exploring Operation: 79-6=73, Resulting Numbers: [51, 73]
Generated Node #3: [51, 73] from Operation: 79-6=73
Current State: 22:[51, 73], Operations: ['74-23=51', '79-6=73']
Exploring Operation: 73-51=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
Current State: 22:[23, 74, 79, 6], Operations: []
Exploring Operation: 74-23=51, Resulting Numbers: [79, 6, 51]
Generated Node #0,0: 22:[79, 6, 51] Operation: 74-23=51
Exploring Operation: 79-74=5, Resulting Numbers: [23, 6, 5]
Generated Node #0,1: 22:[23, 6, 5] Operation: 79-74=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[23, 6, 5], Operations: ['79-74=5']
Exploring Operation: 6+5=11, Resulting Numbers: [23, 11]
Generated Node #0,1,0: 22:[23, 11] Operation: 6+5=11
Exploring Operation: 6-5=1, Resulting Numbers: [23, 1]
Generated Node #0,1,1: 22:[23, 1] Operation: 6-5=1
Moving to Node #0,1,0
Current State: 22:[23, 11], Operations: ['79-74=5', '6+5=11']
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,22 unequal: No Solution
Exploring Operation: 23+11=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Moving to Node #0,1,1
Current State: 22:[23, 1], Operations: ['79-74=5', '6-5=1']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[23, 74, 79, 6], Operations: []
Exploring Operation: 79-74=5, Resulting Numbers: [23, 6, 5]
Generated Node #0,1: 22:[23, 6, 5] Operation: 79-74=5
Moving to Node #0,1
Current State: 22:[23, 6, 5], Operations: ['79-74=5']
Exploring Operation: 6-5=1, Resulting Numbers: [23, 1]
Generated Node #0,1,1: 22:[23, 1] Operation: 6-5=1
Moving to Node #0,1,1
Current State: 22:[23, 1], Operations: ['79-74=5', '6-5=1']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 |
hs_2
|
mult_heuristic
|
[
57,
52,
5,
7
] | 31 |
[
"7-5=2",
"52/2=26",
"57-26=31"
] |
Current State: 31:[57, 52, 5, 7], Operations: []
Exploring Operation: 7-5=2, Resulting Numbers: [57, 52, 2]
Generated Node #2: [57, 52, 2] from Operation: 7-5=2
Current State: 31:[57, 52, 2], Operations: ['7-5=2']
Exploring Operation: 52/2=26, Resulting Numbers: [57, 26]
Generated Node #3: [57, 26] from Operation: 52/2=26
Current State: 31:[57, 26], Operations: ['7-5=2', '52/2=26']
Exploring Operation: 57-26=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
Current State: 31:[57, 52, 5, 7], Operations: []
Exploring Operation: 5*7=35, Resulting Numbers: [57, 52, 35]
Generated Node #0,0: 31:[57, 52, 35] Operation: 5*7=35
Moving to Node #0,0
Current State: 31:[57, 52, 35], Operations: ['5*7=35']
Exploring Operation: 57-52=5, Resulting Numbers: [35, 5]
Generated Node #0,0,0: 31:[35, 5] Operation: 57-52=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 31:[35, 5], Operations: ['5*7=35', '57-52=5']
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,31 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
|
[
65,
15,
69,
5
] | 65 |
[
"69-65=4",
"15*4=60",
"5+60=65"
] |
Current State: 65:[65, 15, 69, 5], Operations: []
Exploring Operation: 69-65=4, Resulting Numbers: [15, 5, 4]
Generated Node #2: [15, 5, 4] from Operation: 69-65=4
Current State: 65:[15, 5, 4], Operations: ['69-65=4']
Exploring Operation: 15*4=60, Resulting Numbers: [5, 60]
Generated Node #3: [5, 60] from Operation: 15*4=60
Current State: 65:[5, 60], Operations: ['69-65=4', '15*4=60']
Exploring Operation: 5+60=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
Current State: 65:[65, 15, 69, 5], Operations: []
Exploring Operation: 65/5=13, Resulting Numbers: [15, 69, 13]
Generated Node #0,0: 65:[15, 69, 13] Operation: 65/5=13
Exploring Operation: 69-65=4, Resulting Numbers: [15, 5, 4]
Generated Node #0,1: 65:[15, 5, 4] Operation: 69-65=4
Exploring Operation: 69-5=64, Resulting Numbers: [65, 15, 64]
Generated Node #0,2: 65:[65, 15, 64] Operation: 69-5=64
Moving to Node #0,1
Current State: 65:[15, 5, 4], Operations: ['69-65=4']
Exploring Operation: 15-4=11, Resulting Numbers: [5, 11]
Generated Node #0,1,0: 65:[5, 11] Operation: 15-4=11
Exploring Operation: 15-5=10, Resulting Numbers: [4, 10]
Generated Node #0,1,1: 65:[4, 10] Operation: 15-5=10
Exploring Operation: 15/5=3, Resulting Numbers: [4, 3]
Generated Node #0,1,2: 65:[4, 3] Operation: 15/5=3
Moving to Node #0,2
Current State: 65:[65, 15, 64], Operations: ['69-5=64']
Exploring Operation: 65-64=1, Resulting Numbers: [15, 1]
Generated Node #0,2,0: 65:[15, 1] Operation: 65-64=1
Exploring Operation: 65+15=80, Resulting Numbers: [64, 80]
Generated Node #0,2,1: 65:[64, 80] Operation: 65+15=80
Exploring Operation: 15+64=79, Resulting Numbers: [65, 79]
Generated Node #0,2,2: 65:[65, 79] Operation: 15+64=79
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 65:[15, 1], Operations: ['69-5=64', '65-64=1']
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 15*1=15, Resulting Numbers: [15]
15,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 65:[65, 79], Operations: ['69-5=64', '15+64=79']
Exploring Operation: 65*79=5135, Resulting Numbers: [5135]
5135,65 unequal: No Solution
Exploring Operation: 79-65=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 65+79=144, Resulting Numbers: [144]
144,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 65:[64, 80], Operations: ['69-5=64', '65+15=80']
Exploring Operation: 64+80=144, Resulting Numbers: [144]
144,65 unequal: No Solution
Exploring Operation: 64*80=5120, Resulting Numbers: [5120]
5120,65 unequal: No Solution
Exploring Operation: 80-64=16, Resulting Numbers: [16]
16,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 65:[15, 69, 13], Operations: ['65/5=13']
Exploring Operation: 69-15=54, Resulting Numbers: [13, 54]
Generated Node #0,0,0: 65:[13, 54] Operation: 69-15=54
Exploring Operation: 15-13=2, Resulting Numbers: [69, 2]
Generated Node #0,0,1: 65:[69, 2] Operation: 15-13=2
Exploring Operation: 69-13=56, Resulting Numbers: [15, 56]
Generated Node #0,0,2: 65:[15, 56] Operation: 69-13=56
Moving to Node #0,1,0
Current State: 65:[5, 11], Operations: ['69-65=4', '15-4=11']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,65 unequal: No Solution
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,65 unequal: No Solution
Moving to Node #0,1,2
Current State: 65:[4, 3], Operations: ['69-65=4', '15/5=3']
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,65 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Moving to Node #0,1,1
Current State: 65:[4, 10], Operations: ['69-65=4', '15-5=10']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,65 unequal: No Solution
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[69, 2], Operations: ['65/5=13', '15-13=2']
Exploring Operation: 69+2=71, Resulting Numbers: [71]
71,65 unequal: No Solution
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,65 unequal: No Solution
Exploring Operation: 69*2=138, Resulting Numbers: [138]
138,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[15, 56], Operations: ['65/5=13', '69-13=56']
Exploring Operation: 15*56=840, Resulting Numbers: [840]
840,65 unequal: No Solution
Exploring Operation: 56-15=41, Resulting Numbers: [41]
41,65 unequal: No Solution
Exploring Operation: 15+56=71, Resulting Numbers: [71]
71,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[13, 54], Operations: ['65/5=13', '69-15=54']
Exploring Operation: 13*54=702, Resulting Numbers: [702]
702,65 unequal: No Solution
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,65 unequal: No Solution
Exploring Operation: 13+54=67, Resulting Numbers: [67]
67,65 unequal: No Solution
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
39,
63,
55,
12
] | 53 |
[
"63-39=24",
"24/12=2",
"55-2=53"
] |
Current State: 53:[39, 63, 55, 12], Operations: []
Exploring Operation: 63-39=24, Resulting Numbers: [55, 12, 24]
Generated Node #2: [55, 12, 24] from Operation: 63-39=24
Current State: 53:[55, 12, 24], Operations: ['63-39=24']
Exploring Operation: 24/12=2, Resulting Numbers: [55, 2]
Generated Node #3: [55, 2] from Operation: 24/12=2
Current State: 53:[55, 2], Operations: ['63-39=24', '24/12=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
Current State: 53:[39, 63, 55, 12], Operations: []
Exploring Operation: 55-12=43, Resulting Numbers: [39, 63, 43]
Generated Node #0,0: 53:[39, 63, 43] Operation: 55-12=43
Exploring Operation: 63-12=51, Resulting Numbers: [39, 55, 51]
Generated Node #0,1: 53:[39, 55, 51] Operation: 63-12=51
Exploring Operation: 39+12=51, Resulting Numbers: [63, 55, 51]
Generated Node #0,2: 53:[63, 55, 51] Operation: 39+12=51
Moving to Node #0,2
Current State: 53:[63, 55, 51], Operations: ['39+12=51']
Exploring Operation: 55-51=4, Resulting Numbers: [63, 4]
Generated Node #0,2,0: 53:[63, 4] Operation: 55-51=4
Exploring Operation: 63-55=8, Resulting Numbers: [51, 8]
Generated Node #0,2,1: 53:[51, 8] Operation: 63-55=8
Exploring Operation: 63-51=12, Resulting Numbers: [55, 12]
Generated Node #0,2,2: 53:[55, 12] Operation: 63-51=12
Moving to Node #0,1
Current State: 53:[39, 55, 51], Operations: ['63-12=51']
Exploring Operation: 39+51=90, Resulting Numbers: [55, 90]
Generated Node #0,1,0: 53:[55, 90] Operation: 39+51=90
Exploring Operation: 55-39=16, Resulting Numbers: [51, 16]
Generated Node #0,1,1: 53:[51, 16] Operation: 55-39=16
Exploring Operation: 39+55=94, Resulting Numbers: [51, 94]
Generated Node #0,1,2: 53:[51, 94] Operation: 39+55=94
Moving to Node #0,0
Current State: 53:[39, 63, 43], Operations: ['55-12=43']
Exploring Operation: 63-39=24, Resulting Numbers: [43, 24]
Generated Node #0,0,0: 53:[43, 24] Operation: 63-39=24
Exploring Operation: 63-43=20, Resulting Numbers: [39, 20]
Generated Node #0,0,1: 53:[39, 20] Operation: 63-43=20
Exploring Operation: 39+43=82, Resulting Numbers: [63, 82]
Generated Node #0,0,2: 53:[63, 82] Operation: 39+43=82
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[43, 24], Operations: ['55-12=43', '63-39=24']
Exploring Operation: 43*24=1032, Resulting Numbers: [1032]
1032,53 unequal: No Solution
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Exploring Operation: 43+24=67, Resulting Numbers: [67]
67,53 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:[63, 82], Operations: ['55-12=43', '39+43=82']
Exploring Operation: 82-63=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Exploring Operation: 63*82=5166, Resulting Numbers: [5166]
5166,53 unequal: No Solution
Exploring Operation: 63+82=145, Resulting Numbers: [145]
145,53 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:[39, 20], Operations: ['55-12=43', '63-43=20']
Exploring Operation: 39*20=780, Resulting Numbers: [780]
780,53 unequal: No Solution
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,53 unequal: No Solution
Exploring Operation: 39+20=59, Resulting Numbers: [59]
59,53 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: 53:[55, 90], Operations: ['63-12=51', '39+51=90']
Exploring Operation: 55*90=4950, Resulting Numbers: [4950]
4950,53 unequal: No Solution
Exploring Operation: 90-55=35, Resulting Numbers: [35]
35,53 unequal: No Solution
Exploring Operation: 55+90=145, Resulting Numbers: [145]
145,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[51, 16], Operations: ['63-12=51', '55-39=16']
Exploring Operation: 51*16=816, Resulting Numbers: [816]
816,53 unequal: No Solution
Exploring Operation: 51+16=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Exploring Operation: 51-16=35, Resulting Numbers: [35]
35,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[51, 94], Operations: ['63-12=51', '39+55=94']
Exploring Operation: 94-51=43, Resulting Numbers: [43]
43,53 unequal: No Solution
Exploring Operation: 51*94=4794, Resulting Numbers: [4794]
4794,53 unequal: No Solution
Exploring Operation: 51+94=145, Resulting Numbers: [145]
145,53 unequal: No Solution
Moving to Node #0,2,2
Current State: 53:[55, 12], Operations: ['39+12=51', '63-51=12']
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,53 unequal: No Solution
Exploring Operation: 55*12=660, Resulting Numbers: [660]
660,53 unequal: No Solution
Exploring Operation: 55+12=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Moving to Node #0,2,1
Current State: 53:[51, 8], Operations: ['39+12=51', '63-55=8']
Exploring Operation: 51+8=59, Resulting Numbers: [59]
59,53 unequal: No Solution
Exploring Operation: 51*8=408, Resulting Numbers: [408]
408,53 unequal: No Solution
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,53 unequal: No Solution
Moving to Node #0,2,0
Current State: 53:[63, 4], Operations: ['39+12=51', '55-51=4']
Exploring Operation: 63*4=252, Resulting Numbers: [252]
252,53 unequal: No Solution
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,53 unequal: No Solution
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
30,
91,
65,
93
] | 70 |
[
"65-30=35",
"93-91=2",
"35*2=70"
] |
Current State: 70:[30, 91, 65, 93], Operations: []
Exploring Operation: 65-30=35, Resulting Numbers: [91, 93, 35]
Generated Node #2: [91, 93, 35] from Operation: 65-30=35
Current State: 70:[91, 93, 35], Operations: ['65-30=35']
Exploring Operation: 93-91=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 93-91=2
Current State: 70:[35, 2], Operations: ['65-30=35', '93-91=2']
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
Current State: 70:[30, 91, 65, 93], Operations: []
Exploring Operation: 93-30=63, Resulting Numbers: [91, 65, 63]
Generated Node #0,0: 70:[91, 65, 63] Operation: 93-30=63
Exploring Operation: 93-91=2, Resulting Numbers: [30, 65, 2]
Generated Node #0,1: 70:[30, 65, 2] Operation: 93-91=2
Moving to Node #0,1
Current State: 70:[30, 65, 2], Operations: ['93-91=2']
Exploring Operation: 30/2=15, Resulting Numbers: [65, 15]
Generated Node #0,1,0: 70:[65, 15] Operation: 30/2=15
Exploring Operation: 65-30=35, Resulting Numbers: [2, 35]
Generated Node #0,1,1: 70:[2, 35] Operation: 65-30=35
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 70:[2, 35], Operations: ['93-91=2', '65-30=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[30, 91, 65, 93], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [30, 65, 2]
Generated Node #0,1: 70:[30, 65, 2] Operation: 93-91=2
Moving to Node #0,1
Current State: 70:[30, 65, 2], Operations: ['93-91=2']
Exploring Operation: 65-30=35, Resulting Numbers: [2, 35]
Generated Node #0,1,1: 70:[2, 35] Operation: 65-30=35
Moving to Node #0,1,1
Current State: 70:[2, 35], Operations: ['93-91=2', '65-30=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 |
hs_2
|
sum_heuristic
|
[
68,
81,
78,
94
] | 76 |
[
"68+94=162",
"162/81=2",
"78-2=76"
] |
Current State: 76:[68, 81, 78, 94], Operations: []
Exploring Operation: 68+94=162, Resulting Numbers: [81, 78, 162]
Generated Node #2: [81, 78, 162] from Operation: 68+94=162
Current State: 76:[81, 78, 162], Operations: ['68+94=162']
Exploring Operation: 162/81=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 162/81=2
Current State: 76:[78, 2], Operations: ['68+94=162', '162/81=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
Current State: 76:[68, 81, 78, 94], Operations: []
Exploring Operation: 94-78=16, Resulting Numbers: [68, 81, 16]
Generated Node #0,0: 76:[68, 81, 16] Operation: 94-78=16
Exploring Operation: 94-81=13, Resulting Numbers: [68, 78, 13]
Generated Node #0,1: 76:[68, 78, 13] Operation: 94-81=13
Exploring Operation: 94-68=26, Resulting Numbers: [81, 78, 26]
Generated Node #0,2: 76:[81, 78, 26] Operation: 94-68=26
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[81, 78, 26], Operations: ['94-68=26']
Exploring Operation: 81-26=55, Resulting Numbers: [78, 55]
Generated Node #0,2,0: 76:[78, 55] Operation: 81-26=55
Exploring Operation: 81-78=3, Resulting Numbers: [26, 3]
Generated Node #0,2,1: 76:[26, 3] Operation: 81-78=3
Exploring Operation: 78/26=3, Resulting Numbers: [81, 3]
Generated Node #0,2,2: 76:[81, 3] Operation: 78/26=3
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 76:[81, 3], Operations: ['94-68=26', '78/26=3']
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,76 unequal: No Solution
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,76 unequal: No Solution
Exploring Operation: 81-3=78, Resulting Numbers: [78]
78,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 76:[26, 3], Operations: ['94-68=26', '81-78=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,76 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 76:[78, 55], Operations: ['94-68=26', '81-26=55']
Exploring Operation: 78-55=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 78+55=133, Resulting Numbers: [133]
133,76 unequal: No Solution
Exploring Operation: 78*55=4290, Resulting Numbers: [4290]
4290,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[68, 81, 16], Operations: ['94-78=16']
Exploring Operation: 81-68=13, Resulting Numbers: [16, 13]
Generated Node #0,0,0: 76:[16, 13] Operation: 81-68=13
Exploring Operation: 68+16=84, Resulting Numbers: [81, 84]
Generated Node #0,0,1: 76:[81, 84] Operation: 68+16=84
Exploring Operation: 68-16=52, Resulting Numbers: [81, 52]
Generated Node #0,0,2: 76:[81, 52] Operation: 68-16=52
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[16, 13], Operations: ['94-78=16', '81-68=13']
Exploring Operation: 16+13=29, Resulting Numbers: [29]
29,76 unequal: No Solution
Exploring Operation: 16*13=208, Resulting Numbers: [208]
208,76 unequal: No Solution
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 76:[81, 84], Operations: ['94-78=16', '68+16=84']
Exploring Operation: 84-81=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 81+84=165, Resulting Numbers: [165]
165,76 unequal: No Solution
Exploring Operation: 81*84=6804, Resulting Numbers: [6804]
6804,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 76:[81, 52], Operations: ['94-78=16', '68-16=52']
Exploring Operation: 81+52=133, Resulting Numbers: [133]
133,76 unequal: No Solution
Exploring Operation: 81*52=4212, Resulting Numbers: [4212]
4212,76 unequal: No Solution
Exploring Operation: 81-52=29, Resulting Numbers: [29]
29,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[68, 78, 13], Operations: ['94-81=13']
Exploring Operation: 78-68=10, Resulting Numbers: [13, 10]
Generated Node #0,1,0: 76:[13, 10] Operation: 78-68=10
Exploring Operation: 78/13=6, Resulting Numbers: [68, 6]
Generated Node #0,1,1: 76:[68, 6] Operation: 78/13=6
Exploring Operation: 68+13=81, Resulting Numbers: [78, 81]
Generated Node #0,1,2: 76:[78, 81] Operation: 68+13=81
Moving to Node #0,1,2
Current State: 76:[78, 81], Operations: ['94-81=13', '68+13=81']
Exploring Operation: 78*81=6318, Resulting Numbers: [6318]
6318,76 unequal: No Solution
Exploring Operation: 78+81=159, Resulting Numbers: [159]
159,76 unequal: No Solution
Exploring Operation: 81-78=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[68, 6], Operations: ['94-81=13', '78/13=6']
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,76 unequal: No Solution
Exploring Operation: 68+6=74, Resulting Numbers: [74]
74,76 unequal: No Solution
Exploring Operation: 68*6=408, Resulting Numbers: [408]
408,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[13, 10], Operations: ['94-81=13', '78-68=10']
Exploring Operation: 13*10=130, Resulting Numbers: [130]
130,76 unequal: No Solution
Exploring Operation: 13+10=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
mult_heuristic
|
[
83,
52,
26,
82
] | 78 |
[
"83-82=1",
"52+26=78",
"1*78=78"
] |
Current State: 78:[83, 52, 26, 82], Operations: []
Exploring Operation: 83-82=1, Resulting Numbers: [52, 26, 1]
Generated Node #2: [52, 26, 1] from Operation: 83-82=1
Current State: 78:[52, 26, 1], Operations: ['83-82=1']
Exploring Operation: 52+26=78, Resulting Numbers: [1, 78]
Generated Node #3: [1, 78] from Operation: 52+26=78
Current State: 78:[1, 78], Operations: ['83-82=1', '52+26=78']
Exploring Operation: 1*78=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
Current State: 78:[83, 52, 26, 82], Operations: []
Exploring Operation: 83-52=31, Resulting Numbers: [26, 82, 31]
Generated Node #0,0: 78:[26, 82, 31] Operation: 83-52=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[26, 82, 31], Operations: ['83-52=31']
Exploring Operation: 31-26=5, Resulting Numbers: [82, 5]
Generated Node #0,0,0: 78:[82, 5] Operation: 31-26=5
Moving to Node #0,0,0
Current State: 78:[82, 5], Operations: ['83-52=31', '31-26=5']
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
92,
11,
35,
89
] | 68 |
[
"92-89=3",
"11*3=33",
"35+33=68"
] |
Current State: 68:[92, 11, 35, 89], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [11, 35, 3]
Generated Node #2: [11, 35, 3] from Operation: 92-89=3
Current State: 68:[11, 35, 3], Operations: ['92-89=3']
Exploring Operation: 11*3=33, Resulting Numbers: [35, 33]
Generated Node #3: [35, 33] from Operation: 11*3=33
Current State: 68:[35, 33], Operations: ['92-89=3', '11*3=33']
Exploring Operation: 35+33=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
Current State: 68:[92, 11, 35, 89], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [11, 35, 3]
Generated Node #0,0: 68:[11, 35, 3] Operation: 92-89=3
Exploring Operation: 89-35=54, Resulting Numbers: [92, 11, 54]
Generated Node #0,1: 68:[92, 11, 54] Operation: 89-35=54
Exploring Operation: 92-11=81, Resulting Numbers: [35, 89, 81]
Generated Node #0,2: 68:[35, 89, 81] Operation: 92-11=81
Exploring Operation: 89-11=78, Resulting Numbers: [92, 35, 78]
Generated Node #0,3: 68:[92, 35, 78] Operation: 89-11=78
Exploring Operation: 92-35=57, Resulting Numbers: [11, 89, 57]
Generated Node #0,4: 68:[11, 89, 57] Operation: 92-35=57
Moving to Node #0,0
Current State: 68:[11, 35, 3], Operations: ['92-89=3']
Exploring Operation: 11*3=33, Resulting Numbers: [35, 33]
Generated Node #0,0,0: 68:[35, 33] Operation: 11*3=33
Exploring Operation: 11+3=14, Resulting Numbers: [35, 14]
Generated Node #0,0,1: 68:[35, 14] Operation: 11+3=14
Exploring Operation: 35-3=32, Resulting Numbers: [11, 32]
Generated Node #0,0,2: 68:[11, 32] Operation: 35-3=32
Exploring Operation: 35-11=24, Resulting Numbers: [3, 24]
Generated Node #0,0,3: 68:[3, 24] Operation: 35-11=24
Exploring Operation: 11-3=8, Resulting Numbers: [35, 8]
Generated Node #0,0,4: 68:[35, 8] Operation: 11-3=8
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 68:[35, 33], Operations: ['92-89=3', '11*3=33']
Exploring Operation: 35*33=1155, Resulting Numbers: [1155]
1155,68 unequal: No Solution
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,68 unequal: No Solution
Exploring Operation: 35+33=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[92, 11, 35, 89], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [11, 35, 3]
Generated Node #0,0: 68:[11, 35, 3] Operation: 92-89=3
Moving to Node #0,0
Current State: 68:[11, 35, 3], Operations: ['92-89=3']
Exploring Operation: 11*3=33, Resulting Numbers: [35, 33]
Generated Node #0,0,0: 68:[35, 33] Operation: 11*3=33
Moving to Node #0,0,0
Current State: 68:[35, 33], Operations: ['92-89=3', '11*3=33']
Exploring Operation: 35+33=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 |
hs_5
|
sum_heuristic
|
[
35,
28,
32,
56
] | 21 |
[
"32-28=4",
"56/4=14",
"35-14=21"
] |
Current State: 21:[35, 28, 32, 56], Operations: []
Exploring Operation: 32-28=4, Resulting Numbers: [35, 56, 4]
Generated Node #2: [35, 56, 4] from Operation: 32-28=4
Current State: 21:[35, 56, 4], Operations: ['32-28=4']
Exploring Operation: 56/4=14, Resulting Numbers: [35, 14]
Generated Node #3: [35, 14] from Operation: 56/4=14
Current State: 21:[35, 14], Operations: ['32-28=4', '56/4=14']
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
Current State: 21:[35, 28, 32, 56], Operations: []
Exploring Operation: 56-35=21, Resulting Numbers: [28, 32, 21]
Generated Node #0,0: 21:[28, 32, 21] Operation: 56-35=21
Exploring Operation: 56-32=24, Resulting Numbers: [35, 28, 24]
Generated Node #0,1: 21:[35, 28, 24] Operation: 56-32=24
Moving to Node #0,0
Current State: 21:[28, 32, 21], Operations: ['56-35=21']
Exploring Operation: 28-21=7, Resulting Numbers: [32, 7]
Generated Node #0,0,0: 21:[32, 7] Operation: 28-21=7
Exploring Operation: 32-28=4, Resulting Numbers: [21, 4]
Generated Node #0,0,1: 21:[21, 4] Operation: 32-28=4
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 21:[21, 4], Operations: ['56-35=21', '32-28=4']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,21 unequal: No Solution
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 21:[32, 7], Operations: ['56-35=21', '28-21=7']
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,21 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 21:[35, 28, 24], Operations: ['56-32=24']
Exploring Operation: 35-28=7, Resulting Numbers: [24, 7]
Generated Node #0,1,0: 21:[24, 7] Operation: 35-28=7
Exploring Operation: 35-24=11, Resulting Numbers: [28, 11]
Generated Node #0,1,1: 21:[28, 11] Operation: 35-24=11
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 21:[24, 7], Operations: ['56-32=24', '35-28=7']
Exploring Operation: 24+7=31, Resulting Numbers: [31]
31,21 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 21:[28, 11], Operations: ['56-32=24', '35-24=11']
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,21 unequal: No Solution
Exploring Operation: 28+11=39, Resulting Numbers: [39]
39,21 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
|
[
50,
92,
19,
52
] | 54 |
[
"52-50=2",
"19*2=38",
"92-38=54"
] |
Current State: 54:[50, 92, 19, 52], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [92, 19, 2]
Generated Node #2: [92, 19, 2] from Operation: 52-50=2
Current State: 54:[92, 19, 2], Operations: ['52-50=2']
Exploring Operation: 19*2=38, Resulting Numbers: [92, 38]
Generated Node #3: [92, 38] from Operation: 19*2=38
Current State: 54:[92, 38], Operations: ['52-50=2', '19*2=38']
Exploring Operation: 92-38=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
Current State: 54:[50, 92, 19, 52], Operations: []
Exploring Operation: 92-52=40, Resulting Numbers: [50, 19, 40]
Generated Node #0,0: 54:[50, 19, 40] Operation: 92-52=40
Exploring Operation: 92-50=42, Resulting Numbers: [19, 52, 42]
Generated Node #0,1: 54:[19, 52, 42] Operation: 92-50=42
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[19, 52, 42], Operations: ['92-50=42']
Exploring Operation: 42-19=23, Resulting Numbers: [52, 23]
Generated Node #0,1,0: 54:[52, 23] Operation: 42-19=23
Exploring Operation: 52-42=10, Resulting Numbers: [19, 10]
Generated Node #0,1,1: 54:[19, 10] Operation: 52-42=10
Moving to Node #0,1,1
Current State: 54:[19, 10], Operations: ['92-50=42', '52-42=10']
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,54 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,54 unequal: No Solution
Moving to Node #0,1,0
Current State: 54:[52, 23], Operations: ['92-50=42', '42-19=23']
Exploring Operation: 52-23=29, Resulting Numbers: [29]
29,54 unequal: No Solution
Exploring Operation: 52+23=75, Resulting Numbers: [75]
75,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[50, 19, 40], Operations: ['92-52=40']
Exploring Operation: 50-40=10, Resulting Numbers: [19, 10]
Generated Node #0,0,0: 54:[19, 10] Operation: 50-40=10
Exploring Operation: 40-19=21, Resulting Numbers: [50, 21]
Generated Node #0,0,1: 54:[50, 21] Operation: 40-19=21
Moving to Node #0,0,0
Current State: 54:[19, 10], Operations: ['92-52=40', '50-40=10']
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,54 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,54 unequal: No Solution
Moving to Node #0,0,1
Current State: 54:[50, 21], Operations: ['92-52=40', '40-19=21']
Exploring Operation: 50+21=71, Resulting Numbers: [71]
71,54 unequal: No Solution
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,54 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,
4,
29,
63
] | 24 |
[
"12/4=3",
"29*3=87",
"87-63=24"
] |
Current State: 24:[12, 4, 29, 63], Operations: []
Exploring Operation: 12/4=3, Resulting Numbers: [29, 63, 3]
Generated Node #2: [29, 63, 3] from Operation: 12/4=3
Current State: 24:[29, 63, 3], Operations: ['12/4=3']
Exploring Operation: 29*3=87, Resulting Numbers: [63, 87]
Generated Node #3: [63, 87] from Operation: 29*3=87
Current State: 24:[63, 87], Operations: ['12/4=3', '29*3=87']
Exploring Operation: 87-63=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
Current State: 24:[12, 4, 29, 63], Operations: []
Exploring Operation: 63-29=34, Resulting Numbers: [12, 4, 34]
Generated Node #0,0: 24:[12, 4, 34] Operation: 63-29=34
Moving to Node #0,0
Current State: 24:[12, 4, 34], Operations: ['63-29=34']
Exploring Operation: 34-12=22, Resulting Numbers: [4, 22]
Generated Node #0,0,0: 24:[4, 22] Operation: 34-12=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[4, 22], Operations: ['63-29=34', '34-12=22']
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,24 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
|
[
8,
80,
72,
96
] | 52 |
[
"80*72=5760",
"5760/96=60",
"60-8=52"
] |
Current State: 52:[8, 80, 72, 96], Operations: []
Exploring Operation: 80*72=5760, Resulting Numbers: [8, 96, 5760]
Generated Node #2: [8, 96, 5760] from Operation: 80*72=5760
Current State: 52:[8, 96, 5760], Operations: ['80*72=5760']
Exploring Operation: 5760/96=60, Resulting Numbers: [8, 60]
Generated Node #3: [8, 60] from Operation: 5760/96=60
Current State: 52:[8, 60], Operations: ['80*72=5760', '5760/96=60']
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
Current State: 52:[8, 80, 72, 96], Operations: []
Exploring Operation: 96-80=16, Resulting Numbers: [8, 72, 16]
Generated Node #0,0: 52:[8, 72, 16] Operation: 96-80=16
Exploring Operation: 96/8=12, Resulting Numbers: [80, 72, 12]
Generated Node #0,1: 52:[80, 72, 12] Operation: 96/8=12
Exploring Operation: 96-72=24, Resulting Numbers: [8, 80, 24]
Generated Node #0,2: 52:[8, 80, 24] Operation: 96-72=24
Exploring Operation: 80-72=8, Resulting Numbers: [8, 96, 8]
Generated Node #0,3: 52:[8, 96, 8] Operation: 80-72=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[8, 72, 16], Operations: ['96-80=16']
Exploring Operation: 72/8=9, Resulting Numbers: [16, 9]
Generated Node #0,0,0: 52:[16, 9] Operation: 72/8=9
Exploring Operation: 72-16=56, Resulting Numbers: [8, 56]
Generated Node #0,0,1: 52:[8, 56] Operation: 72-16=56
Exploring Operation: 72-8=64, Resulting Numbers: [16, 64]
Generated Node #0,0,2: 52:[16, 64] Operation: 72-8=64
Exploring Operation: 16/8=2, Resulting Numbers: [72, 2]
Generated Node #0,0,3: 52:[72, 2] Operation: 16/8=2
Moving to Node #0,0,0
Current State: 52:[16, 9], Operations: ['96-80=16', '72/8=9']
Exploring Operation: 16+9=25, Resulting Numbers: [25]
25,52 unequal: No Solution
Exploring Operation: 16*9=144, Resulting Numbers: [144]
144,52 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[8, 56], Operations: ['96-80=16', '72-16=56']
Exploring Operation: 8+56=64, Resulting Numbers: [64]
64,52 unequal: No Solution
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 56/8=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Exploring Operation: 8*56=448, Resulting Numbers: [448]
448,52 unequal: No Solution
Moving to Node #0,0,2
Current State: 52:[16, 64], Operations: ['96-80=16', '72-8=64']
Exploring Operation: 16+64=80, Resulting Numbers: [80]
80,52 unequal: No Solution
Exploring Operation: 16*64=1024, Resulting Numbers: [1024]
1024,52 unequal: No Solution
Exploring Operation: 64-16=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 64/16=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Moving to Node #0,0,3
Current State: 52:[72, 2], Operations: ['96-80=16', '16/8=2']
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,52 unequal: No Solution
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,52 unequal: No Solution
Exploring Operation: 72*2=144, Resulting Numbers: [144]
144,52 unequal: No Solution
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[8, 80, 24], Operations: ['96-72=24']
Exploring Operation: 24/8=3, Resulting Numbers: [80, 3]
Generated Node #0,2,0: 52:[80, 3] Operation: 24/8=3
Exploring Operation: 80-24=56, Resulting Numbers: [8, 56]
Generated Node #0,2,1: 52:[8, 56] Operation: 80-24=56
Exploring Operation: 80/8=10, Resulting Numbers: [24, 10]
Generated Node #0,2,2: 52:[24, 10] Operation: 80/8=10
Exploring Operation: 80-8=72, Resulting Numbers: [24, 72]
Generated Node #0,2,3: 52:[24, 72] Operation: 80-8=72
Moving to Node #0,2,2
Current State: 52:[24, 10], Operations: ['96-72=24', '80/8=10']
Exploring Operation: 24+10=34, Resulting Numbers: [34]
34,52 unequal: No Solution
Exploring Operation: 24*10=240, Resulting Numbers: [240]
240,52 unequal: No Solution
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,52 unequal: No Solution
Moving to Node #0,2,1
Current State: 52:[8, 56], Operations: ['96-72=24', '80-24=56']
Exploring Operation: 8+56=64, Resulting Numbers: [64]
64,52 unequal: No Solution
Exploring Operation: 56/8=7, Resulting Numbers: [7]
7,52 unequal: No Solution
Exploring Operation: 8*56=448, Resulting Numbers: [448]
448,52 unequal: No Solution
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Moving to Node #0,2,3
Current State: 52:[24, 72], Operations: ['96-72=24', '80-8=72']
Exploring Operation: 24+72=96, Resulting Numbers: [96]
96,52 unequal: No Solution
Exploring Operation: 72-24=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 24*72=1728, Resulting Numbers: [1728]
1728,52 unequal: No Solution
Exploring Operation: 72/24=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,2,0
Current State: 52:[80, 3], Operations: ['96-72=24', '24/8=3']
Exploring Operation: 80*3=240, Resulting Numbers: [240]
240,52 unequal: No Solution
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,52 unequal: No Solution
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[80, 72, 12], Operations: ['96/8=12']
Exploring Operation: 80-12=68, Resulting Numbers: [72, 68]
Generated Node #0,1,0: 52:[72, 68] Operation: 80-12=68
Exploring Operation: 72-12=60, Resulting Numbers: [80, 60]
Generated Node #0,1,1: 52:[80, 60] Operation: 72-12=60
Exploring Operation: 80-72=8, Resulting Numbers: [12, 8]
Generated Node #0,1,2: 52:[12, 8] Operation: 80-72=8
Exploring Operation: 72/12=6, Resulting Numbers: [80, 6]
Generated Node #0,1,3: 52:[80, 6] Operation: 72/12=6
Moving to Node #0,1,2
Current State: 52:[12, 8], Operations: ['96/8=12', '80-72=8']
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,52 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,52 unequal: No Solution
Moving to Node #0,1,3
Current State: 52:[80, 6], Operations: ['96/8=12', '72/12=6']
Exploring Operation: 80*6=480, Resulting Numbers: [480]
480,52 unequal: No Solution
Exploring Operation: 80+6=86, Resulting Numbers: [86]
86,52 unequal: No Solution
Exploring Operation: 80-6=74, Resulting Numbers: [74]
74,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[80, 60], Operations: ['96/8=12', '72-12=60']
Exploring Operation: 80*60=4800, Resulting Numbers: [4800]
4800,52 unequal: No Solution
Exploring Operation: 80+60=140, Resulting Numbers: [140]
140,52 unequal: No Solution
Exploring Operation: 80-60=20, Resulting Numbers: [20]
20,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[72, 68], Operations: ['96/8=12', '80-12=68']
Exploring Operation: 72+68=140, Resulting Numbers: [140]
140,52 unequal: No Solution
Exploring Operation: 72*68=4896, Resulting Numbers: [4896]
4896,52 unequal: No Solution
Exploring Operation: 72-68=4, Resulting Numbers: [4]
4,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 52:[8, 96, 8], Operations: ['80-72=8']
Exploring Operation: 96-8=88, Resulting Numbers: [8, 88]
Generated Node #0,3,0: 52:[8, 88] Operation: 96-8=88
Exploring Operation: 96-8=88, Resulting Numbers: [8, 88]
Generated Node #0,3,1: 52:[8, 88] Operation: 96-8=88
Exploring Operation: 96/8=12, Resulting Numbers: [8, 12]
Generated Node #0,3,2: 52:[8, 12] Operation: 96/8=12
Exploring Operation: 96/8=12, Resulting Numbers: [8, 12]
Generated Node #0,3,3: 52:[8, 12] Operation: 96/8=12
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 52:[8, 12], Operations: ['80-72=8', '96/8=12']
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,52 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 52:[8, 12], Operations: ['80-72=8', '96/8=12']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,52 unequal: No Solution
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 52:[8, 88], Operations: ['80-72=8', '96-8=88']
Exploring Operation: 8*88=704, Resulting Numbers: [704]
704,52 unequal: No Solution
Exploring Operation: 8+88=96, Resulting Numbers: [96]
96,52 unequal: No Solution
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,52 unequal: No Solution
Exploring Operation: 88-8=80, Resulting Numbers: [80]
80,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 52:[8, 88], Operations: ['80-72=8', '96-8=88']
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,52 unequal: No Solution
Exploring Operation: 8+88=96, Resulting Numbers: [96]
96,52 unequal: No Solution
Exploring Operation: 88-8=80, Resulting Numbers: [80]
80,52 unequal: No Solution
Exploring Operation: 8*88=704, Resulting Numbers: [704]
704,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
72,
24,
60,
35
] | 86 |
[
"24*35=840",
"840/60=14",
"72+14=86"
] |
Current State: 86:[72, 24, 60, 35], Operations: []
Exploring Operation: 24*35=840, Resulting Numbers: [72, 60, 840]
Generated Node #2: [72, 60, 840] from Operation: 24*35=840
Current State: 86:[72, 60, 840], Operations: ['24*35=840']
Exploring Operation: 840/60=14, Resulting Numbers: [72, 14]
Generated Node #3: [72, 14] from Operation: 840/60=14
Current State: 86:[72, 14], Operations: ['24*35=840', '840/60=14']
Exploring Operation: 72+14=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
Current State: 86:[72, 24, 60, 35], Operations: []
Exploring Operation: 24+60=84, Resulting Numbers: [72, 35, 84]
Generated Node #0,0: 86:[72, 35, 84] Operation: 24+60=84
Exploring Operation: 72/24=3, Resulting Numbers: [60, 35, 3]
Generated Node #0,1: 86:[60, 35, 3] Operation: 72/24=3
Exploring Operation: 60-24=36, Resulting Numbers: [72, 35, 36]
Generated Node #0,2: 86:[72, 35, 36] Operation: 60-24=36
Exploring Operation: 72-24=48, Resulting Numbers: [60, 35, 48]
Generated Node #0,3: 86:[60, 35, 48] Operation: 72-24=48
Moving to Node #0,0
Current State: 86:[72, 35, 84], Operations: ['24+60=84']
Exploring Operation: 72+35=107, Resulting Numbers: [84, 107]
Generated Node #0,0,0: 86:[84, 107] Operation: 72+35=107
Exploring Operation: 84-72=12, Resulting Numbers: [35, 12]
Generated Node #0,0,1: 86:[35, 12] Operation: 84-72=12
Exploring Operation: 84-35=49, Resulting Numbers: [72, 49]
Generated Node #0,0,2: 86:[72, 49] Operation: 84-35=49
Exploring Operation: 72-35=37, Resulting Numbers: [84, 37]
Generated Node #0,0,3: 86:[84, 37] Operation: 72-35=37
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 86:[84, 37], Operations: ['24+60=84', '72-35=37']
Exploring Operation: 84+37=121, Resulting Numbers: [121]
121,86 unequal: No Solution
Exploring Operation: 84*37=3108, Resulting Numbers: [3108]
3108,86 unequal: No Solution
Exploring Operation: 84-37=47, Resulting Numbers: [47]
47,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 86:[35, 12], Operations: ['24+60=84', '84-72=12']
Exploring Operation: 35*12=420, Resulting Numbers: [420]
420,86 unequal: No Solution
Exploring Operation: 35-12=23, Resulting Numbers: [23]
23,86 unequal: No Solution
Exploring Operation: 35+12=47, Resulting Numbers: [47]
47,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 86:[72, 49], Operations: ['24+60=84', '84-35=49']
Exploring Operation: 72*49=3528, Resulting Numbers: [3528]
3528,86 unequal: No Solution
Exploring Operation: 72+49=121, Resulting Numbers: [121]
121,86 unequal: No Solution
Exploring Operation: 72-49=23, Resulting Numbers: [23]
23,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[84, 107], Operations: ['24+60=84', '72+35=107']
Exploring Operation: 84+107=191, Resulting Numbers: [191]
191,86 unequal: No Solution
Exploring Operation: 84*107=8988, Resulting Numbers: [8988]
8988,86 unequal: No Solution
Exploring Operation: 107-84=23, Resulting Numbers: [23]
23,86 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: 86:[60, 35, 3], Operations: ['72/24=3']
Exploring Operation: 60+35=95, Resulting Numbers: [3, 95]
Generated Node #0,1,0: 86:[3, 95] Operation: 60+35=95
Exploring Operation: 35+3=38, Resulting Numbers: [60, 38]
Generated Node #0,1,1: 86:[60, 38] Operation: 35+3=38
Exploring Operation: 60-3=57, Resulting Numbers: [35, 57]
Generated Node #0,1,2: 86:[35, 57] Operation: 60-3=57
Exploring Operation: 60-35=25, Resulting Numbers: [3, 25]
Generated Node #0,1,3: 86:[3, 25] Operation: 60-35=25
Moving to Node #0,2
Current State: 86:[72, 35, 36], Operations: ['60-24=36']
Exploring Operation: 72-35=37, Resulting Numbers: [36, 37]
Generated Node #0,2,0: 86:[36, 37] Operation: 72-35=37
Exploring Operation: 72-36=36, Resulting Numbers: [35, 36]
Generated Node #0,2,1: 86:[35, 36] Operation: 72-36=36
Exploring Operation: 72/36=2, Resulting Numbers: [35, 2]
Generated Node #0,2,2: 86:[35, 2] Operation: 72/36=2
Exploring Operation: 36-35=1, Resulting Numbers: [72, 1]
Generated Node #0,2,3: 86:[72, 1] Operation: 36-35=1
Moving to Node #0,3
Current State: 86:[60, 35, 48], Operations: ['72-24=48']
Exploring Operation: 60+35=95, Resulting Numbers: [48, 95]
Generated Node #0,3,0: 86:[48, 95] Operation: 60+35=95
Exploring Operation: 60-48=12, Resulting Numbers: [35, 12]
Generated Node #0,3,1: 86:[35, 12] Operation: 60-48=12
Exploring Operation: 35+48=83, Resulting Numbers: [60, 83]
Generated Node #0,3,2: 86:[60, 83] Operation: 35+48=83
Exploring Operation: 60-35=25, Resulting Numbers: [48, 25]
Generated Node #0,3,3: 86:[48, 25] Operation: 60-35=25
Moving to Node #0,2,2
Current State: 86:[35, 2], Operations: ['60-24=36', '72/36=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,86 unequal: No Solution
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[3, 95], Operations: ['72/24=3', '60+35=95']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,86 unequal: No Solution
Exploring Operation: 3+95=98, Resulting Numbers: [98]
98,86 unequal: No Solution
Exploring Operation: 3*95=285, Resulting Numbers: [285]
285,86 unequal: No Solution
Moving to Node #0,2,0
Current State: 86:[36, 37], Operations: ['60-24=36', '72-35=37']
Exploring Operation: 36+37=73, Resulting Numbers: [73]
73,86 unequal: No Solution
Exploring Operation: 36*37=1332, Resulting Numbers: [1332]
1332,86 unequal: No Solution
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,86 unequal: No Solution
Moving to Node #0,3,0
Current State: 86:[48, 95], Operations: ['72-24=48', '60+35=95']
Exploring Operation: 48*95=4560, Resulting Numbers: [4560]
4560,86 unequal: No Solution
Exploring Operation: 48+95=143, Resulting Numbers: [143]
143,86 unequal: No Solution
Exploring Operation: 95-48=47, Resulting Numbers: [47]
47,86 unequal: No Solution
Moving to Node #0,2,1
Current State: 86:[35, 36], Operations: ['60-24=36', '72-36=36']
Exploring Operation: 36-35=1, Resulting Numbers: [1]
1,86 unequal: No Solution
Exploring Operation: 35+36=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 35*36=1260, Resulting Numbers: [1260]
1260,86 unequal: No Solution
Moving to Node #0,2,3
Current State: 86:[72, 1], Operations: ['60-24=36', '36-35=1']
Exploring Operation: 72-1=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 72/1=72, Resulting Numbers: [72]
72,86 unequal: No Solution
Exploring Operation: 72+1=73, Resulting Numbers: [73]
73,86 unequal: No Solution
Exploring Operation: 72*1=72, Resulting Numbers: [72]
72,86 unequal: No Solution
Moving to Node #0,3,1
Current State: 86:[35, 12], Operations: ['72-24=48', '60-48=12']
Exploring Operation: 35+12=47, Resulting Numbers: [47]
47,86 unequal: No Solution
Exploring Operation: 35-12=23, Resulting Numbers: [23]
23,86 unequal: No Solution
Exploring Operation: 35*12=420, Resulting Numbers: [420]
420,86 unequal: No Solution
Moving to Node #0,1,3
Current State: 86:[3, 25], Operations: ['72/24=3', '60-35=25']
Exploring Operation: 3+25=28, Resulting Numbers: [28]
28,86 unequal: No Solution
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,86 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,86 unequal: No Solution
Moving to Node #0,3,2
Current State: 86:[60, 83], Operations: ['72-24=48', '35+48=83']
Exploring Operation: 60*83=4980, Resulting Numbers: [4980]
4980,86 unequal: No Solution
Exploring Operation: 60+83=143, Resulting Numbers: [143]
143,86 unequal: No Solution
Exploring Operation: 83-60=23, Resulting Numbers: [23]
23,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[60, 38], Operations: ['72/24=3', '35+3=38']
Exploring Operation: 60-38=22, Resulting Numbers: [22]
22,86 unequal: No Solution
Exploring Operation: 60+38=98, Resulting Numbers: [98]
98,86 unequal: No Solution
Exploring Operation: 60*38=2280, Resulting Numbers: [2280]
2280,86 unequal: No Solution
Moving to Node #0,1,2
Current State: 86:[35, 57], Operations: ['72/24=3', '60-3=57']
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,86 unequal: No Solution
Exploring Operation: 35*57=1995, Resulting Numbers: [1995]
1995,86 unequal: No Solution
Exploring Operation: 35+57=92, Resulting Numbers: [92]
92,86 unequal: No Solution
Moving to Node #0,3,3
Current State: 86:[48, 25], Operations: ['72-24=48', '60-35=25']
Exploring Operation: 48*25=1200, Resulting Numbers: [1200]
1200,86 unequal: No Solution
Exploring Operation: 48-25=23, Resulting Numbers: [23]
23,86 unequal: No Solution
Exploring Operation: 48+25=73, Resulting Numbers: [73]
73,86 unequal: No Solution
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
64,
46,
13,
31
] | 92 |
[
"64+46=110",
"31-13=18",
"110-18=92"
] |
Current State: 92:[64, 46, 13, 31], Operations: []
Exploring Operation: 64+46=110, Resulting Numbers: [13, 31, 110]
Generated Node #2: [13, 31, 110] from Operation: 64+46=110
Current State: 92:[13, 31, 110], Operations: ['64+46=110']
Exploring Operation: 31-13=18, Resulting Numbers: [110, 18]
Generated Node #3: [110, 18] from Operation: 31-13=18
Current State: 92:[110, 18], Operations: ['64+46=110', '31-13=18']
Exploring Operation: 110-18=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
Current State: 92:[64, 46, 13, 31], Operations: []
Exploring Operation: 64-13=51, Resulting Numbers: [46, 31, 51]
Generated Node #0,0: 92:[46, 31, 51] Operation: 64-13=51
Exploring Operation: 13+31=44, Resulting Numbers: [64, 46, 44]
Generated Node #0,1: 92:[64, 46, 44] Operation: 13+31=44
Exploring Operation: 64+31=95, Resulting Numbers: [46, 13, 95]
Generated Node #0,2: 92:[46, 13, 95] Operation: 64+31=95
Exploring Operation: 64-31=33, Resulting Numbers: [46, 13, 33]
Generated Node #0,3: 92:[46, 13, 33] Operation: 64-31=33
Moving to Node #0,2
Current State: 92:[46, 13, 95], Operations: ['64+31=95']
Exploring Operation: 95-13=82, Resulting Numbers: [46, 82]
Generated Node #0,2,0: 92:[46, 82] Operation: 95-13=82
Exploring Operation: 46-13=33, Resulting Numbers: [95, 33]
Generated Node #0,2,1: 92:[95, 33] Operation: 46-13=33
Exploring Operation: 95-46=49, Resulting Numbers: [13, 49]
Generated Node #0,2,2: 92:[13, 49] Operation: 95-46=49
Exploring Operation: 46+13=59, Resulting Numbers: [95, 59]
Generated Node #0,2,3: 92:[95, 59] Operation: 46+13=59
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 92:[46, 82], Operations: ['64+31=95', '95-13=82']
Exploring Operation: 46*82=3772, Resulting Numbers: [3772]
3772,92 unequal: No Solution
Exploring Operation: 82-46=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 46+82=128, Resulting Numbers: [128]
128,92 unequal: No Solution
No 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: 92:[13, 49], Operations: ['64+31=95', '95-46=49']
Exploring Operation: 49-13=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 13+49=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 13*49=637, Resulting Numbers: [637]
637,92 unequal: No Solution
No 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: 92:[95, 33], Operations: ['64+31=95', '46-13=33']
Exploring Operation: 95*33=3135, Resulting Numbers: [3135]
3135,92 unequal: No Solution
Exploring Operation: 95+33=128, Resulting Numbers: [128]
128,92 unequal: No Solution
Exploring Operation: 95-33=62, Resulting Numbers: [62]
62,92 unequal: No Solution
No 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: 92:[95, 59], Operations: ['64+31=95', '46+13=59']
Exploring Operation: 95-59=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Exploring Operation: 95+59=154, Resulting Numbers: [154]
154,92 unequal: No Solution
Exploring Operation: 95*59=5605, Resulting Numbers: [5605]
5605,92 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: 92:[46, 31, 51], Operations: ['64-13=51']
Exploring Operation: 31+51=82, Resulting Numbers: [46, 82]
Generated Node #0,0,0: 92:[46, 82] Operation: 31+51=82
Exploring Operation: 51-31=20, Resulting Numbers: [46, 20]
Generated Node #0,0,1: 92:[46, 20] Operation: 51-31=20
Exploring Operation: 46-31=15, Resulting Numbers: [51, 15]
Generated Node #0,0,2: 92:[51, 15] Operation: 46-31=15
Exploring Operation: 51-46=5, Resulting Numbers: [31, 5]
Generated Node #0,0,3: 92:[31, 5] Operation: 51-46=5
Moving to Node #0,3
Current State: 92:[46, 13, 33], Operations: ['64-31=33']
Exploring Operation: 33-13=20, Resulting Numbers: [46, 20]
Generated Node #0,3,0: 92:[46, 20] Operation: 33-13=20
Exploring Operation: 46-13=33, Resulting Numbers: [33, 33]
Generated Node #0,3,1: 92:[33, 33] Operation: 46-13=33
Exploring Operation: 46-33=13, Resulting Numbers: [13, 13]
Generated Node #0,3,2: 92:[13, 13] Operation: 46-33=13
Exploring Operation: 13+33=46, Resulting Numbers: [46, 46]
Generated Node #0,3,3: 92:[46, 46] Operation: 13+33=46
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 92:[46, 46], Operations: ['64-31=33', '13+33=46']
Exploring Operation: 46-46=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Exploring Operation: 46/46=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 46*46=2116, Resulting Numbers: [2116]
2116,92 unequal: No Solution
Exploring Operation: 46+46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[64, 46, 13, 31], Operations: []
Exploring Operation: 64-31=33, Resulting Numbers: [46, 13, 33]
Generated Node #0,3: 92:[46, 13, 33] Operation: 64-31=33
Moving to Node #0,3
Current State: 92:[46, 13, 33], Operations: ['64-31=33']
Exploring Operation: 13+33=46, Resulting Numbers: [46, 46]
Generated Node #0,3,3: 92:[46, 46] Operation: 13+33=46
Moving to Node #0,3,3
Current State: 92:[46, 46], Operations: ['64-31=33', '13+33=46']
Exploring Operation: 46+46=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 |
hs_4
|
mult_heuristic
|
[
39,
36,
1,
46
] | 44 |
[
"39-36=3",
"1+46=47",
"47-3=44"
] |
Current State: 44:[39, 36, 1, 46], Operations: []
Exploring Operation: 39-36=3, Resulting Numbers: [1, 46, 3]
Generated Node #2: [1, 46, 3] from Operation: 39-36=3
Current State: 44:[1, 46, 3], Operations: ['39-36=3']
Exploring Operation: 1+46=47, Resulting Numbers: [3, 47]
Generated Node #3: [3, 47] from Operation: 1+46=47
Current State: 44:[3, 47], Operations: ['39-36=3', '1+46=47']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
Current State: 44:[39, 36, 1, 46], Operations: []
Exploring Operation: 46-36=10, Resulting Numbers: [39, 1, 10]
Generated Node #0,0: 44:[39, 1, 10] Operation: 46-36=10
Exploring Operation: 46-39=7, Resulting Numbers: [36, 1, 7]
Generated Node #0,1: 44:[36, 1, 7] Operation: 46-39=7
Exploring Operation: 39-36=3, Resulting Numbers: [1, 46, 3]
Generated Node #0,2: 44:[1, 46, 3] Operation: 39-36=3
Moving to Node #0,2
Current State: 44:[1, 46, 3], Operations: ['39-36=3']
Exploring Operation: 3-1=2, Resulting Numbers: [46, 2]
Generated Node #0,2,0: 44:[46, 2] Operation: 3-1=2
Exploring Operation: 1+3=4, Resulting Numbers: [46, 4]
Generated Node #0,2,1: 44:[46, 4] Operation: 1+3=4
Exploring Operation: 46-1=45, Resulting Numbers: [3, 45]
Generated Node #0,2,2: 44:[3, 45] Operation: 46-1=45
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 44:[46, 2], Operations: ['39-36=3', '3-1=2']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,44 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[39, 36, 1, 46], Operations: []
Exploring Operation: 39-36=3, Resulting Numbers: [1, 46, 3]
Generated Node #0,2: 44:[1, 46, 3] Operation: 39-36=3
Moving to Node #0,2
Current State: 44:[1, 46, 3], Operations: ['39-36=3']
Exploring Operation: 3-1=2, Resulting Numbers: [46, 2]
Generated Node #0,2,0: 44:[46, 2] Operation: 3-1=2
Moving to Node #0,2,0
Current State: 44:[46, 2], Operations: ['39-36=3', '3-1=2']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 |
hs_3
|
mult_heuristic
|
[
57,
57,
84,
23
] | 53 |
[
"57+57=114",
"84-23=61",
"114-61=53"
] |
Current State: 53:[57, 57, 84, 23], Operations: []
Exploring Operation: 57+57=114, Resulting Numbers: [84, 23, 114]
Generated Node #2: [84, 23, 114] from Operation: 57+57=114
Current State: 53:[84, 23, 114], Operations: ['57+57=114']
Exploring Operation: 84-23=61, Resulting Numbers: [114, 61]
Generated Node #3: [114, 61] from Operation: 84-23=61
Current State: 53:[114, 61], Operations: ['57+57=114', '84-23=61']
Exploring Operation: 114-61=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
Current State: 53:[57, 57, 84, 23], Operations: []
Exploring Operation: 57-23=34, Resulting Numbers: [57, 84, 34]
Generated Node #0,0: 53:[57, 84, 34] Operation: 57-23=34
Exploring Operation: 57-23=34, Resulting Numbers: [57, 84, 34]
Generated Node #0,1: 53:[57, 84, 34] Operation: 57-23=34
Exploring Operation: 84-23=61, Resulting Numbers: [57, 57, 61]
Generated Node #0,2: 53:[57, 57, 61] Operation: 84-23=61
Start Sub Search at level 1: Moving to Node #0,2
Current State: 53:[57, 57, 61], Operations: ['84-23=61']
Exploring Operation: 61-57=4, Resulting Numbers: [57, 4]
Generated Node #0,2,0: 53:[57, 4] Operation: 61-57=4
Exploring Operation: 57/57=1, Resulting Numbers: [61, 1]
Generated Node #0,2,1: 53:[61, 1] Operation: 57/57=1
Exploring Operation: 61-57=4, Resulting Numbers: [57, 4]
Generated Node #0,2,2: 53:[57, 4] Operation: 61-57=4
Moving to Node #0,2,0
Current State: 53:[57, 4], Operations: ['84-23=61', '61-57=4']
Exploring Operation: 57*4=228, Resulting Numbers: [228]
228,53 unequal: No Solution
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[57, 57, 84, 23], Operations: []
Exploring Operation: 84-23=61, Resulting Numbers: [57, 57, 61]
Generated Node #0,2: 53:[57, 57, 61] Operation: 84-23=61
Moving to Node #0,2
Current State: 53:[57, 57, 61], Operations: ['84-23=61']
Exploring Operation: 61-57=4, Resulting Numbers: [57, 4]
Generated Node #0,2,0: 53:[57, 4] Operation: 61-57=4
Moving to Node #0,2,0
Current State: 53:[57, 4], Operations: ['84-23=61', '61-57=4']
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 |
hs_3
|
mult_heuristic
|
[
20,
58,
55,
7
] | 81 |
[
"20+7=27",
"58-55=3",
"27*3=81"
] |
Current State: 81:[20, 58, 55, 7], Operations: []
Exploring Operation: 20+7=27, Resulting Numbers: [58, 55, 27]
Generated Node #2: [58, 55, 27] from Operation: 20+7=27
Current State: 81:[58, 55, 27], Operations: ['20+7=27']
Exploring Operation: 58-55=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 58-55=3
Current State: 81:[27, 3], Operations: ['20+7=27', '58-55=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
Current State: 81:[20, 58, 55, 7], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [20, 7, 3]
Generated Node #0,0: 81:[20, 7, 3] Operation: 58-55=3
Exploring Operation: 20+55=75, Resulting Numbers: [58, 7, 75]
Generated Node #0,1: 81:[58, 7, 75] Operation: 20+55=75
Exploring Operation: 55-20=35, Resulting Numbers: [58, 7, 35]
Generated Node #0,2: 81:[58, 7, 35] Operation: 55-20=35
Exploring Operation: 20+58=78, Resulting Numbers: [55, 7, 78]
Generated Node #0,3: 81:[55, 7, 78] Operation: 20+58=78
Moving to Node #0,0
Current State: 81:[20, 7, 3], Operations: ['58-55=3']
Exploring Operation: 20+3=23, Resulting Numbers: [7, 23]
Generated Node #0,0,0: 81:[7, 23] Operation: 20+3=23
Exploring Operation: 7+3=10, Resulting Numbers: [20, 10]
Generated Node #0,0,1: 81:[20, 10] Operation: 7+3=10
Exploring Operation: 20+7=27, Resulting Numbers: [3, 27]
Generated Node #0,0,2: 81:[3, 27] Operation: 20+7=27
Exploring Operation: 20-7=13, Resulting Numbers: [3, 13]
Generated Node #0,0,3: 81:[3, 13] Operation: 20-7=13
Moving to Node #0,3
Current State: 81:[55, 7, 78], Operations: ['20+58=78']
Exploring Operation: 78-55=23, Resulting Numbers: [7, 23]
Generated Node #0,3,0: 81:[7, 23] Operation: 78-55=23
Exploring Operation: 55-7=48, Resulting Numbers: [78, 48]
Generated Node #0,3,1: 81:[78, 48] Operation: 55-7=48
Exploring Operation: 55+7=62, Resulting Numbers: [78, 62]
Generated Node #0,3,2: 81:[78, 62] Operation: 55+7=62
Exploring Operation: 7+78=85, Resulting Numbers: [55, 85]
Generated Node #0,3,3: 81:[55, 85] Operation: 7+78=85
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 81:[7, 23], Operations: ['20+58=78', '78-55=23']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,81 unequal: No Solution
Exploring Operation: 7+23=30, Resulting Numbers: [30]
30,81 unequal: No Solution
Exploring Operation: 7*23=161, Resulting Numbers: [161]
161,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 81:[78, 62], Operations: ['20+58=78', '55+7=62']
Exploring Operation: 78-62=16, Resulting Numbers: [16]
16,81 unequal: No Solution
Exploring Operation: 78+62=140, Resulting Numbers: [140]
140,81 unequal: No Solution
Exploring Operation: 78*62=4836, Resulting Numbers: [4836]
4836,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 81:[78, 48], Operations: ['20+58=78', '55-7=48']
Exploring Operation: 78+48=126, Resulting Numbers: [126]
126,81 unequal: No Solution
Exploring Operation: 78-48=30, Resulting Numbers: [30]
30,81 unequal: No Solution
Exploring Operation: 78*48=3744, Resulting Numbers: [3744]
3744,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 81:[55, 85], Operations: ['20+58=78', '7+78=85']
Exploring Operation: 55*85=4675, Resulting Numbers: [4675]
4675,81 unequal: No Solution
Exploring Operation: 55+85=140, Resulting Numbers: [140]
140,81 unequal: No Solution
Exploring Operation: 85-55=30, Resulting Numbers: [30]
30,81 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: 81:[58, 7, 75], Operations: ['20+55=75']
Exploring Operation: 75-58=17, Resulting Numbers: [7, 17]
Generated Node #0,1,0: 81:[7, 17] Operation: 75-58=17
Exploring Operation: 58-7=51, Resulting Numbers: [75, 51]
Generated Node #0,1,1: 81:[75, 51] Operation: 58-7=51
Exploring Operation: 7+75=82, Resulting Numbers: [58, 82]
Generated Node #0,1,2: 81:[58, 82] Operation: 7+75=82
Exploring Operation: 58+7=65, Resulting Numbers: [75, 65]
Generated Node #0,1,3: 81:[75, 65] Operation: 58+7=65
Moving to Node #0,2
Current State: 81:[58, 7, 35], Operations: ['55-20=35']
Exploring Operation: 58+35=93, Resulting Numbers: [7, 93]
Generated Node #0,2,0: 81:[7, 93] Operation: 58+35=93
Exploring Operation: 58-35=23, Resulting Numbers: [7, 23]
Generated Node #0,2,1: 81:[7, 23] Operation: 58-35=23
Exploring Operation: 35-7=28, Resulting Numbers: [58, 28]
Generated Node #0,2,2: 81:[58, 28] Operation: 35-7=28
Exploring Operation: 58+7=65, Resulting Numbers: [35, 65]
Generated Node #0,2,3: 81:[35, 65] Operation: 58+7=65
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 81:[7, 23], Operations: ['55-20=35', '58-35=23']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,81 unequal: No Solution
Exploring Operation: 7*23=161, Resulting Numbers: [161]
161,81 unequal: No Solution
Exploring Operation: 7+23=30, Resulting Numbers: [30]
30,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 81:[7, 93], Operations: ['55-20=35', '58+35=93']
Exploring Operation: 7*93=651, Resulting Numbers: [651]
651,81 unequal: No Solution
Exploring Operation: 93-7=86, Resulting Numbers: [86]
86,81 unequal: No Solution
Exploring Operation: 7+93=100, Resulting Numbers: [100]
100,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 81:[58, 28], Operations: ['55-20=35', '35-7=28']
Exploring Operation: 58+28=86, Resulting Numbers: [86]
86,81 unequal: No Solution
Exploring Operation: 58*28=1624, Resulting Numbers: [1624]
1624,81 unequal: No Solution
Exploring Operation: 58-28=30, Resulting Numbers: [30]
30,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 81:[35, 65], Operations: ['55-20=35', '58+7=65']
Exploring Operation: 35+65=100, Resulting Numbers: [100]
100,81 unequal: No Solution
Exploring Operation: 65-35=30, Resulting Numbers: [30]
30,81 unequal: No Solution
Exploring Operation: 35*65=2275, Resulting Numbers: [2275]
2275,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 81:[3, 27], Operations: ['58-55=3', '20+7=27']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,81 unequal: No Solution
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,81 unequal: No Solution
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[20, 58, 55, 7], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [20, 7, 3]
Generated Node #0,0: 81:[20, 7, 3] Operation: 58-55=3
Moving to Node #0,0
Current State: 81:[20, 7, 3], Operations: ['58-55=3']
Exploring Operation: 20+7=27, Resulting Numbers: [3, 27]
Generated Node #0,0,2: 81:[3, 27] Operation: 20+7=27
Moving to Node #0,0,2
Current State: 81:[3, 27], Operations: ['58-55=3', '20+7=27']
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 0.955729 |
hs_4
|
mult_heuristic
|
[
66,
40,
45,
59
] | 30 |
[
"66*45=2970",
"40+59=99",
"2970/99=30"
] |
Current State: 30:[66, 40, 45, 59], Operations: []
Exploring Operation: 66*45=2970, Resulting Numbers: [40, 59, 2970]
Generated Node #2: [40, 59, 2970] from Operation: 66*45=2970
Current State: 30:[40, 59, 2970], Operations: ['66*45=2970']
Exploring Operation: 40+59=99, Resulting Numbers: [2970, 99]
Generated Node #3: [2970, 99] from Operation: 40+59=99
Current State: 30:[2970, 99], Operations: ['66*45=2970', '40+59=99']
Exploring Operation: 2970/99=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
Current State: 30:[66, 40, 45, 59], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [40, 45, 7]
Generated Node #0,0: 30:[40, 45, 7] Operation: 66-59=7
Moving to Node #0,0
Current State: 30:[40, 45, 7], Operations: ['66-59=7']
Exploring Operation: 45-40=5, Resulting Numbers: [7, 5]
Generated Node #0,0,0: 30:[7, 5] Operation: 45-40=5
Moving to Node #0,0,0
Current State: 30:[7, 5], Operations: ['66-59=7', '45-40=5']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,30 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
45,
24,
2,
11
] | 87 |
[
"24/2=12",
"11*12=132",
"132-45=87"
] |
Current State: 87:[45, 24, 2, 11], Operations: []
Exploring Operation: 24/2=12, Resulting Numbers: [45, 11, 12]
Generated Node #2: [45, 11, 12] from Operation: 24/2=12
Current State: 87:[45, 11, 12], Operations: ['24/2=12']
Exploring Operation: 11*12=132, Resulting Numbers: [45, 132]
Generated Node #3: [45, 132] from Operation: 11*12=132
Current State: 87:[45, 132], Operations: ['24/2=12', '11*12=132']
Exploring Operation: 132-45=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
Current State: 87:[45, 24, 2, 11], Operations: []
Exploring Operation: 45-11=34, Resulting Numbers: [24, 2, 34]
Generated Node #0,0: 87:[24, 2, 34] Operation: 45-11=34
Exploring Operation: 45-24=21, Resulting Numbers: [2, 11, 21]
Generated Node #0,1: 87:[2, 11, 21] Operation: 45-24=21
Exploring Operation: 24+11=35, Resulting Numbers: [45, 2, 35]
Generated Node #0,2: 87:[45, 2, 35] Operation: 24+11=35
Exploring Operation: 45*2=90, Resulting Numbers: [24, 11, 90]
Generated Node #0,3: 87:[24, 11, 90] Operation: 45*2=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[24, 2, 34], Operations: ['45-11=34']
Exploring Operation: 34-24=10, Resulting Numbers: [2, 10]
Generated Node #0,0,0: 87:[2, 10] Operation: 34-24=10
Exploring Operation: 24-2=22, Resulting Numbers: [34, 22]
Generated Node #0,0,1: 87:[34, 22] Operation: 24-2=22
Exploring Operation: 24+2=26, Resulting Numbers: [34, 26]
Generated Node #0,0,2: 87:[34, 26] Operation: 24+2=26
Exploring Operation: 34-2=32, Resulting Numbers: [24, 32]
Generated Node #0,0,3: 87:[24, 32] Operation: 34-2=32
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[2, 10], Operations: ['45-11=34', '34-24=10']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,87 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,87 unequal: No Solution
No 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: 87:[34, 26], Operations: ['45-11=34', '24+2=26']
Exploring Operation: 34*26=884, Resulting Numbers: [884]
884,87 unequal: No Solution
Exploring Operation: 34-26=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Exploring Operation: 34+26=60, Resulting Numbers: [60]
60,87 unequal: No Solution
No 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: 87:[24, 32], Operations: ['45-11=34', '34-2=32']
Exploring Operation: 24*32=768, Resulting Numbers: [768]
768,87 unequal: No Solution
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Exploring Operation: 24+32=56, Resulting Numbers: [56]
56,87 unequal: No Solution
No 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: 87:[34, 22], Operations: ['45-11=34', '24-2=22']
Exploring Operation: 34+22=56, Resulting Numbers: [56]
56,87 unequal: No Solution
Exploring Operation: 34*22=748, Resulting Numbers: [748]
748,87 unequal: No Solution
Exploring Operation: 34-22=12, Resulting Numbers: [12]
12,87 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: 87:[24, 11, 90], Operations: ['45*2=90']
Exploring Operation: 24-11=13, Resulting Numbers: [90, 13]
Generated Node #0,3,0: 87:[90, 13] Operation: 24-11=13
Exploring Operation: 90-11=79, Resulting Numbers: [24, 79]
Generated Node #0,3,1: 87:[24, 79] Operation: 90-11=79
Exploring Operation: 11+90=101, Resulting Numbers: [24, 101]
Generated Node #0,3,2: 87:[24, 101] Operation: 11+90=101
Exploring Operation: 24+11=35, Resulting Numbers: [90, 35]
Generated Node #0,3,3: 87:[90, 35] Operation: 24+11=35
Moving to Node #0,3,3
Current State: 87:[90, 35], Operations: ['45*2=90', '24+11=35']
Exploring Operation: 90+35=125, Resulting Numbers: [125]
125,87 unequal: No Solution
Exploring Operation: 90*35=3150, Resulting Numbers: [3150]
3150,87 unequal: No Solution
Exploring Operation: 90-35=55, Resulting Numbers: [55]
55,87 unequal: No Solution
Moving to Node #0,3,1
Current State: 87:[24, 79], Operations: ['45*2=90', '90-11=79']
Exploring Operation: 24+79=103, Resulting Numbers: [103]
103,87 unequal: No Solution
Exploring Operation: 24*79=1896, Resulting Numbers: [1896]
1896,87 unequal: No Solution
Exploring Operation: 79-24=55, Resulting Numbers: [55]
55,87 unequal: No Solution
Moving to Node #0,3,0
Current State: 87:[90, 13], Operations: ['45*2=90', '24-11=13']
Exploring Operation: 90*13=1170, Resulting Numbers: [1170]
1170,87 unequal: No Solution
Exploring Operation: 90-13=77, Resulting Numbers: [77]
77,87 unequal: No Solution
Exploring Operation: 90+13=103, Resulting Numbers: [103]
103,87 unequal: No Solution
Moving to Node #0,3,2
Current State: 87:[24, 101], Operations: ['45*2=90', '11+90=101']
Exploring Operation: 24+101=125, Resulting Numbers: [125]
125,87 unequal: No Solution
Exploring Operation: 24*101=2424, Resulting Numbers: [2424]
2424,87 unequal: No Solution
Exploring Operation: 101-24=77, Resulting Numbers: [77]
77,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[2, 11, 21], Operations: ['45-24=21']
Exploring Operation: 2+21=23, Resulting Numbers: [11, 23]
Generated Node #0,1,0: 87:[11, 23] Operation: 2+21=23
Exploring Operation: 11-2=9, Resulting Numbers: [21, 9]
Generated Node #0,1,1: 87:[21, 9] Operation: 11-2=9
Exploring Operation: 11+21=32, Resulting Numbers: [2, 32]
Generated Node #0,1,2: 87:[2, 32] Operation: 11+21=32
Exploring Operation: 21-11=10, Resulting Numbers: [2, 10]
Generated Node #0,1,3: 87:[2, 10] Operation: 21-11=10
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 87:[2, 32], Operations: ['45-24=21', '11+21=32']
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,87 unequal: No Solution
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,87 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,87 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,87 unequal: No Solution
No 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: 87:[2, 10], Operations: ['45-24=21', '21-11=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,87 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,87 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,87 unequal: No Solution
No 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: 87:[11, 23], Operations: ['45-24=21', '2+21=23']
Exploring Operation: 11*23=253, Resulting Numbers: [253]
253,87 unequal: No Solution
Exploring Operation: 23-11=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 11+23=34, Resulting Numbers: [34]
34,87 unequal: No Solution
No 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: 87:[21, 9], Operations: ['45-24=21', '11-2=9']
Exploring Operation: 21+9=30, Resulting Numbers: [30]
30,87 unequal: No Solution
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 21*9=189, Resulting Numbers: [189]
189,87 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: 87:[45, 2, 35], Operations: ['24+11=35']
Exploring Operation: 45+35=80, Resulting Numbers: [2, 80]
Generated Node #0,2,0: 87:[2, 80] Operation: 45+35=80
Exploring Operation: 45-35=10, Resulting Numbers: [2, 10]
Generated Node #0,2,1: 87:[2, 10] Operation: 45-35=10
Exploring Operation: 45*2=90, Resulting Numbers: [35, 90]
Generated Node #0,2,2: 87:[35, 90] Operation: 45*2=90
Exploring Operation: 45-2=43, Resulting Numbers: [35, 43]
Generated Node #0,2,3: 87:[35, 43] Operation: 45-2=43
Moving to Node #0,2,0
Current State: 87:[2, 80], Operations: ['24+11=35', '45+35=80']
Exploring Operation: 2*80=160, Resulting Numbers: [160]
160,87 unequal: No Solution
Exploring Operation: 2+80=82, Resulting Numbers: [82]
82,87 unequal: No Solution
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,87 unequal: No Solution
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,87 unequal: No Solution
Moving to Node #0,2,1
Current State: 87:[2, 10], Operations: ['24+11=35', '45-35=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,87 unequal: No Solution
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,87 unequal: No Solution
Moving to Node #0,2,2
Current State: 87:[35, 90], Operations: ['24+11=35', '45*2=90']
Exploring Operation: 90-35=55, Resulting Numbers: [55]
55,87 unequal: No Solution
Exploring Operation: 35+90=125, Resulting Numbers: [125]
125,87 unequal: No Solution
Exploring Operation: 35*90=3150, Resulting Numbers: [3150]
3150,87 unequal: No Solution
Moving to Node #0,2,3
Current State: 87:[35, 43], Operations: ['24+11=35', '45-2=43']
Exploring Operation: 35*43=1505, Resulting Numbers: [1505]
1505,87 unequal: No Solution
Exploring Operation: 43-35=8, Resulting Numbers: [8]
8,87 unequal: No Solution
Exploring Operation: 35+43=78, Resulting Numbers: [78]
78,87 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
|
[
63,
9,
82,
61
] | 32 |
[
"63-61=2",
"82/2=41",
"41-9=32"
] |
Current State: 32:[63, 9, 82, 61], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [9, 82, 2]
Generated Node #2: [9, 82, 2] from Operation: 63-61=2
Current State: 32:[9, 82, 2], Operations: ['63-61=2']
Exploring Operation: 82/2=41, Resulting Numbers: [9, 41]
Generated Node #3: [9, 41] from Operation: 82/2=41
Current State: 32:[9, 41], Operations: ['63-61=2', '82/2=41']
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
Current State: 32:[63, 9, 82, 61], Operations: []
Exploring Operation: 82-61=21, Resulting Numbers: [63, 9, 21]
Generated Node #0,0: 32:[63, 9, 21] Operation: 82-61=21
Exploring Operation: 63/9=7, Resulting Numbers: [82, 61, 7]
Generated Node #0,1: 32:[82, 61, 7] Operation: 63/9=7
Exploring Operation: 63-9=54, Resulting Numbers: [82, 61, 54]
Generated Node #0,2: 32:[82, 61, 54] Operation: 63-9=54
Exploring Operation: 63-61=2, Resulting Numbers: [9, 82, 2]
Generated Node #0,3: 32:[9, 82, 2] Operation: 63-61=2
Exploring Operation: 82-63=19, Resulting Numbers: [9, 61, 19]
Generated Node #0,4: 32:[9, 61, 19] Operation: 82-63=19
Start Sub Search at level 1: Moving to Node #0,4
Current State: 32:[9, 61, 19], Operations: ['82-63=19']
Exploring Operation: 9+61=70, Resulting Numbers: [19, 70]
Generated Node #0,4,0: 32:[19, 70] Operation: 9+61=70
Exploring Operation: 9+19=28, Resulting Numbers: [61, 28]
Generated Node #0,4,1: 32:[61, 28] Operation: 9+19=28
Exploring Operation: 19-9=10, Resulting Numbers: [61, 10]
Generated Node #0,4,2: 32:[61, 10] Operation: 19-9=10
Exploring Operation: 61-9=52, Resulting Numbers: [19, 52]
Generated Node #0,4,3: 32:[19, 52] Operation: 61-9=52
Exploring Operation: 61-19=42, Resulting Numbers: [9, 42]
Generated Node #0,4,4: 32:[9, 42] Operation: 61-19=42
Moving to Node #0,4,4
Current State: 32:[9, 42], Operations: ['82-63=19', '61-19=42']
Exploring Operation: 9*42=378, Resulting Numbers: [378]
378,32 unequal: No Solution
Exploring Operation: 9+42=51, Resulting Numbers: [51]
51,32 unequal: No Solution
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,32 unequal: No Solution
Moving to Node #0,4,3
Current State: 32:[19, 52], Operations: ['82-63=19', '61-9=52']
Exploring Operation: 52-19=33, Resulting Numbers: [33]
33,32 unequal: No Solution
Exploring Operation: 19+52=71, Resulting Numbers: [71]
71,32 unequal: No Solution
Exploring Operation: 19*52=988, Resulting Numbers: [988]
988,32 unequal: No Solution
Moving to Node #0,4,2
Current State: 32:[61, 10], Operations: ['82-63=19', '19-9=10']
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,32 unequal: No Solution
Exploring Operation: 61+10=71, Resulting Numbers: [71]
71,32 unequal: No Solution
Exploring Operation: 61*10=610, Resulting Numbers: [610]
610,32 unequal: No Solution
Moving to Node #0,4,1
Current State: 32:[61, 28], Operations: ['82-63=19', '9+19=28']
Exploring Operation: 61+28=89, Resulting Numbers: [89]
89,32 unequal: No Solution
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,32 unequal: No Solution
Exploring Operation: 61*28=1708, Resulting Numbers: [1708]
1708,32 unequal: No Solution
Moving to Node #0,4,0
Current State: 32:[19, 70], Operations: ['82-63=19', '9+61=70']
Exploring Operation: 19*70=1330, Resulting Numbers: [1330]
1330,32 unequal: No Solution
Exploring Operation: 19+70=89, Resulting Numbers: [89]
89,32 unequal: No Solution
Exploring Operation: 70-19=51, Resulting Numbers: [51]
51,32 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
Current State: 32:[63, 9, 21], Operations: ['82-61=21']
Exploring Operation: 63/21=3, Resulting Numbers: [9, 3]
Generated Node #0,0,0: 32:[9, 3] Operation: 63/21=3
Exploring Operation: 9+21=30, Resulting Numbers: [63, 30]
Generated Node #0,0,1: 32:[63, 30] Operation: 9+21=30
Exploring Operation: 63-21=42, Resulting Numbers: [9, 42]
Generated Node #0,0,2: 32:[9, 42] Operation: 63-21=42
Exploring Operation: 63-9=54, Resulting Numbers: [21, 54]
Generated Node #0,0,3: 32:[21, 54] Operation: 63-9=54
Exploring Operation: 63/9=7, Resulting Numbers: [21, 7]
Generated Node #0,0,4: 32:[21, 7] Operation: 63/9=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 32:[9, 3], Operations: ['82-61=21', '63/21=3']
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,32 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,32 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,32 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,32 unequal: No Solution
No 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: 32:[21, 7], Operations: ['82-61=21', '63/9=7']
Exploring Operation: 21*7=147, Resulting Numbers: [147]
147,32 unequal: No Solution
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,32 unequal: No Solution
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,32 unequal: No Solution
Exploring Operation: 21+7=28, Resulting Numbers: [28]
28,32 unequal: No Solution
No 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: 32:[9, 42], Operations: ['82-61=21', '63-21=42']
Exploring Operation: 9+42=51, Resulting Numbers: [51]
51,32 unequal: No Solution
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,32 unequal: No Solution
Exploring Operation: 9*42=378, Resulting Numbers: [378]
378,32 unequal: No Solution
No 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: 32:[21, 54], Operations: ['82-61=21', '63-9=54']
Exploring Operation: 21+54=75, Resulting Numbers: [75]
75,32 unequal: No Solution
Exploring Operation: 21*54=1134, Resulting Numbers: [1134]
1134,32 unequal: No Solution
Exploring Operation: 54-21=33, Resulting Numbers: [33]
33,32 unequal: No Solution
No 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: 32:[63, 30], Operations: ['82-61=21', '9+21=30']
Exploring Operation: 63*30=1890, Resulting Numbers: [1890]
1890,32 unequal: No Solution
Exploring Operation: 63+30=93, Resulting Numbers: [93]
93,32 unequal: No Solution
Exploring Operation: 63-30=33, Resulting Numbers: [33]
33,32 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 32:[9, 82, 2], Operations: ['63-61=2']
Exploring Operation: 9-2=7, Resulting Numbers: [82, 7]
Generated Node #0,3,0: 32:[82, 7] Operation: 9-2=7
Exploring Operation: 9*2=18, Resulting Numbers: [82, 18]
Generated Node #0,3,1: 32:[82, 18] Operation: 9*2=18
Exploring Operation: 82-2=80, Resulting Numbers: [9, 80]
Generated Node #0,3,2: 32:[9, 80] Operation: 82-2=80
Exploring Operation: 82-9=73, Resulting Numbers: [2, 73]
Generated Node #0,3,3: 32:[2, 73] Operation: 82-9=73
Exploring Operation: 82/2=41, Resulting Numbers: [9, 41]
Generated Node #0,3,4: 32:[9, 41] Operation: 82/2=41
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 32:[9, 41], Operations: ['63-61=2', '82/2=41']
Exploring Operation: 9+41=50, Resulting Numbers: [50]
50,32 unequal: No Solution
Exploring Operation: 9*41=369, Resulting Numbers: [369]
369,32 unequal: No Solution
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[63, 9, 82, 61], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [9, 82, 2]
Generated Node #0,3: 32:[9, 82, 2] Operation: 63-61=2
Moving to Node #0,3
Current State: 32:[9, 82, 2], Operations: ['63-61=2']
Exploring Operation: 82/2=41, Resulting Numbers: [9, 41]
Generated Node #0,3,4: 32:[9, 41] Operation: 82/2=41
Moving to Node #0,3,4
Current State: 32:[9, 41], Operations: ['63-61=2', '82/2=41']
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.948785 |
hs_5
|
mult_heuristic
|
[
98,
50,
22,
22
] | 50 |
[
"22-22=0",
"98*0=0",
"50+0=50"
] |
Current State: 50:[98, 50, 22, 22], Operations: []
Exploring Operation: 22-22=0, Resulting Numbers: [98, 50, 0]
Generated Node #2: [98, 50, 0] from Operation: 22-22=0
Current State: 50:[98, 50, 0], Operations: ['22-22=0']
Exploring Operation: 98*0=0, Resulting Numbers: [50, 0]
Generated Node #3: [50, 0] from Operation: 98*0=0
Current State: 50:[50, 0], Operations: ['22-22=0', '98*0=0']
Exploring Operation: 50+0=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
Current State: 50:[98, 50, 22, 22], Operations: []
Exploring Operation: 22/22=1, Resulting Numbers: [98, 50, 1]
Generated Node #0,0: 50:[98, 50, 1] Operation: 22/22=1
Exploring Operation: 98-22=76, Resulting Numbers: [50, 22, 76]
Generated Node #0,1: 50:[50, 22, 76] Operation: 98-22=76
Exploring Operation: 22-22=0, Resulting Numbers: [98, 50, 0]
Generated Node #0,2: 50:[98, 50, 0] Operation: 22-22=0
Exploring Operation: 98-50=48, Resulting Numbers: [22, 22, 48]
Generated Node #0,3: 50:[22, 22, 48] Operation: 98-50=48
Exploring Operation: 98-22=76, Resulting Numbers: [50, 22, 76]
Generated Node #0,4: 50:[50, 22, 76] Operation: 98-22=76
Moving to Node #0,3
Current State: 50:[22, 22, 48], Operations: ['98-50=48']
Exploring Operation: 48-22=26, Resulting Numbers: [22, 26]
Generated Node #0,3,0: 50:[22, 26] Operation: 48-22=26
Exploring Operation: 48-22=26, Resulting Numbers: [22, 26]
Generated Node #0,3,1: 50:[22, 26] Operation: 48-22=26
Exploring Operation: 22+22=44, Resulting Numbers: [48, 44]
Generated Node #0,3,2: 50:[48, 44] Operation: 22+22=44
Exploring Operation: 22-22=0, Resulting Numbers: [48, 0]
Generated Node #0,3,3: 50:[48, 0] Operation: 22-22=0
Exploring Operation: 22/22=1, Resulting Numbers: [48, 1]
Generated Node #0,3,4: 50:[48, 1] Operation: 22/22=1
Moving to Node #0,4
Current State: 50:[50, 22, 76], Operations: ['98-22=76']
Exploring Operation: 76-50=26, Resulting Numbers: [22, 26]
Generated Node #0,4,0: 50:[22, 26] Operation: 76-50=26
Exploring Operation: 76-22=54, Resulting Numbers: [50, 54]
Generated Node #0,4,1: 50:[50, 54] Operation: 76-22=54
Exploring Operation: 50-22=28, Resulting Numbers: [76, 28]
Generated Node #0,4,2: 50:[76, 28] Operation: 50-22=28
Exploring Operation: 50+22=72, Resulting Numbers: [76, 72]
Generated Node #0,4,3: 50:[76, 72] Operation: 50+22=72
Exploring Operation: 22+76=98, Resulting Numbers: [50, 98]
Generated Node #0,4,4: 50:[50, 98] Operation: 22+76=98
Moving to Node #0,1
Current State: 50:[50, 22, 76], Operations: ['98-22=76']
Exploring Operation: 76-50=26, Resulting Numbers: [22, 26]
Generated Node #0,1,0: 50:[22, 26] Operation: 76-50=26
Exploring Operation: 50+22=72, Resulting Numbers: [76, 72]
Generated Node #0,1,1: 50:[76, 72] Operation: 50+22=72
Exploring Operation: 50-22=28, Resulting Numbers: [76, 28]
Generated Node #0,1,2: 50:[76, 28] Operation: 50-22=28
Exploring Operation: 76-22=54, Resulting Numbers: [50, 54]
Generated Node #0,1,3: 50:[50, 54] Operation: 76-22=54
Exploring Operation: 22+76=98, Resulting Numbers: [50, 98]
Generated Node #0,1,4: 50:[50, 98] Operation: 22+76=98
Moving to Node #0,0
Current State: 50:[98, 50, 1], Operations: ['22/22=1']
Exploring Operation: 50*1=50, Resulting Numbers: [98, 50]
Generated Node #0,0,0: 50:[98, 50] Operation: 50*1=50
Exploring Operation: 98-1=97, Resulting Numbers: [50, 97]
Generated Node #0,0,1: 50:[50, 97] Operation: 98-1=97
Exploring Operation: 98-50=48, Resulting Numbers: [1, 48]
Generated Node #0,0,2: 50:[1, 48] Operation: 98-50=48
Exploring Operation: 98*1=98, Resulting Numbers: [50, 98]
Generated Node #0,0,3: 50:[50, 98] Operation: 98*1=98
Exploring Operation: 98/1=98, Resulting Numbers: [50, 98]
Generated Node #0,0,4: 50:[50, 98] Operation: 98/1=98
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 50:[1, 48], Operations: ['22/22=1', '98-50=48']
Exploring Operation: 1+48=49, Resulting Numbers: [49]
49,50 unequal: No Solution
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,50 unequal: No Solution
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,50 unequal: No Solution
Exploring Operation: 1*48=48, Resulting Numbers: [48]
48,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 50:[50, 97], Operations: ['22/22=1', '98-1=97']
Exploring Operation: 97-50=47, Resulting Numbers: [47]
47,50 unequal: No Solution
Exploring Operation: 50*97=4850, Resulting Numbers: [4850]
4850,50 unequal: No Solution
Exploring Operation: 50+97=147, Resulting Numbers: [147]
147,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[98, 50], Operations: ['22/22=1', '50*1=50']
Exploring Operation: 98*50=4900, Resulting Numbers: [4900]
4900,50 unequal: No Solution
Exploring Operation: 98+50=148, Resulting Numbers: [148]
148,50 unequal: No Solution
Exploring Operation: 98-50=48, Resulting Numbers: [48]
48,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 50:[50, 98], Operations: ['22/22=1', '98*1=98']
Exploring Operation: 50+98=148, Resulting Numbers: [148]
148,50 unequal: No Solution
Exploring Operation: 98-50=48, Resulting Numbers: [48]
48,50 unequal: No Solution
Exploring Operation: 50*98=4900, Resulting Numbers: [4900]
4900,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 50:[50, 98], Operations: ['22/22=1', '98/1=98']
Exploring Operation: 98-50=48, Resulting Numbers: [48]
48,50 unequal: No Solution
Exploring Operation: 50*98=4900, Resulting Numbers: [4900]
4900,50 unequal: No Solution
Exploring Operation: 50+98=148, Resulting Numbers: [148]
148,50 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: 50:[98, 50, 0], Operations: ['22-22=0']
Exploring Operation: 98*0=0, Resulting Numbers: [50, 0]
Generated Node #0,2,0: 50:[50, 0] Operation: 98*0=0
Exploring Operation: 98-0=98, Resulting Numbers: [50, 98]
Generated Node #0,2,1: 50:[50, 98] Operation: 98-0=98
Exploring Operation: 50+0=50, Resulting Numbers: [98, 50]
Generated Node #0,2,2: 50:[98, 50] Operation: 50+0=50
Exploring Operation: 98-50=48, Resulting Numbers: [0, 48]
Generated Node #0,2,3: 50:[0, 48] Operation: 98-50=48
Exploring Operation: 98+0=98, Resulting Numbers: [50, 98]
Generated Node #0,2,4: 50:[50, 98] Operation: 98+0=98
Moving to Node #0,2,0
Current State: 50:[50, 0], Operations: ['22-22=0', '98*0=0']
Exploring Operation: 50-0=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[98, 50, 22, 22], Operations: []
Exploring Operation: 22-22=0, Resulting Numbers: [98, 50, 0]
Generated Node #0,2: 50:[98, 50, 0] Operation: 22-22=0
Moving to Node #0,2
Current State: 50:[98, 50, 0], Operations: ['22-22=0']
Exploring Operation: 98*0=0, Resulting Numbers: [50, 0]
Generated Node #0,2,0: 50:[50, 0] Operation: 98*0=0
Moving to Node #0,2,0
Current State: 50:[50, 0], Operations: ['22-22=0', '98*0=0']
Exploring Operation: 50-0=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 0.955729 |
hs_5
|
mult_heuristic
|
[
86,
21,
13,
82
] | 32 |
[
"86-82=4",
"21-13=8",
"4*8=32"
] |
Current State: 32:[86, 21, 13, 82], Operations: []
Exploring Operation: 86-82=4, Resulting Numbers: [21, 13, 4]
Generated Node #2: [21, 13, 4] from Operation: 86-82=4
Current State: 32:[21, 13, 4], Operations: ['86-82=4']
Exploring Operation: 21-13=8, Resulting Numbers: [4, 8]
Generated Node #3: [4, 8] from Operation: 21-13=8
Current State: 32:[4, 8], Operations: ['86-82=4', '21-13=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
Current State: 32:[86, 21, 13, 82], Operations: []
Exploring Operation: 86-82=4, Resulting Numbers: [21, 13, 4]
Generated Node #0,0: 32:[21, 13, 4] Operation: 86-82=4
Moving to Node #0,0
Current State: 32:[21, 13, 4], Operations: ['86-82=4']
Exploring Operation: 21-13=8, Resulting Numbers: [4, 8]
Generated Node #0,0,0: 32:[4, 8] Operation: 21-13=8
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[4, 8], Operations: ['86-82=4', '21-13=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[86, 21, 13, 82], Operations: []
Exploring Operation: 86-82=4, Resulting Numbers: [21, 13, 4]
Generated Node #0,0: 32:[21, 13, 4] Operation: 86-82=4
Moving to Node #0,0
Current State: 32:[21, 13, 4], Operations: ['86-82=4']
Exploring Operation: 21-13=8, Resulting Numbers: [4, 8]
Generated Node #0,0,0: 32:[4, 8] Operation: 21-13=8
Moving to Node #0,0,0
Current State: 32:[4, 8], Operations: ['86-82=4', '21-13=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
mult_heuristic
|
[
14,
29,
65,
57
] | 35 |
[
"14+29=43",
"65-57=8",
"43-8=35"
] |
Current State: 35:[14, 29, 65, 57], Operations: []
Exploring Operation: 14+29=43, Resulting Numbers: [65, 57, 43]
Generated Node #2: [65, 57, 43] from Operation: 14+29=43
Current State: 35:[65, 57, 43], Operations: ['14+29=43']
Exploring Operation: 65-57=8, Resulting Numbers: [43, 8]
Generated Node #3: [43, 8] from Operation: 65-57=8
Current State: 35:[43, 8], Operations: ['14+29=43', '65-57=8']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
Current State: 35:[14, 29, 65, 57], Operations: []
Exploring Operation: 65-57=8, Resulting Numbers: [14, 29, 8]
Generated Node #0,0: 35:[14, 29, 8] Operation: 65-57=8
Moving to Node #0,0
Current State: 35:[14, 29, 8], Operations: ['65-57=8']
Exploring Operation: 14-8=6, Resulting Numbers: [29, 6]
Generated Node #0,0,0: 35:[29, 6] Operation: 14-8=6
Moving to Node #0,0,0
Current State: 35:[29, 6], Operations: ['65-57=8', '14-8=6']
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[14, 29, 65, 57], Operations: []
Exploring Operation: 65-57=8, Resulting Numbers: [14, 29, 8]
Generated Node #0,0: 35:[14, 29, 8] Operation: 65-57=8
Moving to Node #0,0
Current State: 35:[14, 29, 8], Operations: ['65-57=8']
Exploring Operation: 14-8=6, Resulting Numbers: [29, 6]
Generated Node #0,0,0: 35:[29, 6] Operation: 14-8=6
Moving to Node #0,0,0
Current State: 35:[29, 6], Operations: ['65-57=8', '14-8=6']
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 0.993924 |
hs_1
|
mult_heuristic
|
[
35,
87,
92,
93
] | 86 |
[
"92-87=5",
"35/5=7",
"93-7=86"
] |
Current State: 86:[35, 87, 92, 93], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [35, 93, 5]
Generated Node #2: [35, 93, 5] from Operation: 92-87=5
Current State: 86:[35, 93, 5], Operations: ['92-87=5']
Exploring Operation: 35/5=7, Resulting Numbers: [93, 7]
Generated Node #3: [93, 7] from Operation: 35/5=7
Current State: 86:[93, 7], Operations: ['92-87=5', '35/5=7']
Exploring Operation: 93-7=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
Current State: 86:[35, 87, 92, 93], Operations: []
Exploring Operation: 93-92=1, Resulting Numbers: [35, 87, 1]
Generated Node #0,0: 86:[35, 87, 1] Operation: 93-92=1
Exploring Operation: 93-87=6, Resulting Numbers: [35, 92, 6]
Generated Node #0,1: 86:[35, 92, 6] Operation: 93-87=6
Exploring Operation: 92-87=5, Resulting Numbers: [35, 93, 5]
Generated Node #0,2: 86:[35, 93, 5] Operation: 92-87=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[35, 87, 1], Operations: ['93-92=1']
Exploring Operation: 87-1=86, Resulting Numbers: [35, 86]
Generated Node #0,0,0: 86:[35, 86] Operation: 87-1=86
Exploring Operation: 35+1=36, Resulting Numbers: [87, 36]
Generated Node #0,0,1: 86:[87, 36] Operation: 35+1=36
Exploring Operation: 35*1=35, Resulting Numbers: [87, 35]
Generated Node #0,0,2: 86:[87, 35] Operation: 35*1=35
Moving to Node #0,0,0
Current State: 86:[35, 86], Operations: ['93-92=1', '87-1=86']
Exploring Operation: 35+86=121, Resulting Numbers: [121]
121,86 unequal: No Solution
Exploring Operation: 86-35=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 35*86=3010, Resulting Numbers: [3010]
3010,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[87, 36], Operations: ['93-92=1', '35+1=36']
Exploring Operation: 87-36=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 87+36=123, Resulting Numbers: [123]
123,86 unequal: No Solution
Exploring Operation: 87*36=3132, Resulting Numbers: [3132]
3132,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[87, 35], Operations: ['93-92=1', '35*1=35']
Exploring Operation: 87+35=122, Resulting Numbers: [122]
122,86 unequal: No Solution
Exploring Operation: 87-35=52, Resulting Numbers: [52]
52,86 unequal: No Solution
Exploring Operation: 87*35=3045, Resulting Numbers: [3045]
3045,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[35, 92, 6], Operations: ['93-87=6']
Exploring Operation: 92-35=57, Resulting Numbers: [6, 57]
Generated Node #0,1,0: 86:[6, 57] Operation: 92-35=57
Exploring Operation: 92-6=86, Resulting Numbers: [35, 86]
Generated Node #0,1,1: 86:[35, 86] Operation: 92-6=86
Exploring Operation: 35+6=41, Resulting Numbers: [92, 41]
Generated Node #0,1,2: 86:[92, 41] Operation: 35+6=41
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 86:[35, 86], Operations: ['93-87=6', '92-6=86']
Exploring Operation: 35*86=3010, Resulting Numbers: [3010]
3010,86 unequal: No Solution
Exploring Operation: 86-35=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 35+86=121, Resulting Numbers: [121]
121,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 86:[92, 41], Operations: ['93-87=6', '35+6=41']
Exploring Operation: 92-41=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 92+41=133, Resulting Numbers: [133]
133,86 unequal: No Solution
Exploring Operation: 92*41=3772, Resulting Numbers: [3772]
3772,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 86:[6, 57], Operations: ['93-87=6', '92-35=57']
Exploring Operation: 6+57=63, Resulting Numbers: [63]
63,86 unequal: No Solution
Exploring Operation: 6*57=342, Resulting Numbers: [342]
342,86 unequal: No Solution
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[35, 93, 5], Operations: ['92-87=5']
Exploring Operation: 93-5=88, Resulting Numbers: [35, 88]
Generated Node #0,2,0: 86:[35, 88] Operation: 93-5=88
Exploring Operation: 35+5=40, Resulting Numbers: [93, 40]
Generated Node #0,2,1: 86:[93, 40] Operation: 35+5=40
Exploring Operation: 35/5=7, Resulting Numbers: [93, 7]
Generated Node #0,2,2: 86:[93, 7] Operation: 35/5=7
Moving to Node #0,2,0
Current State: 86:[35, 88], Operations: ['92-87=5', '93-5=88']
Exploring Operation: 88-35=53, Resulting Numbers: [53]
53,86 unequal: No Solution
Exploring Operation: 35+88=123, Resulting Numbers: [123]
123,86 unequal: No Solution
Exploring Operation: 35*88=3080, Resulting Numbers: [3080]
3080,86 unequal: No Solution
Moving to Node #0,2,1
Current State: 86:[93, 40], Operations: ['92-87=5', '35+5=40']
Exploring Operation: 93+40=133, Resulting Numbers: [133]
133,86 unequal: No Solution
Exploring Operation: 93*40=3720, Resulting Numbers: [3720]
3720,86 unequal: No Solution
Exploring Operation: 93-40=53, Resulting Numbers: [53]
53,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[93, 7], Operations: ['92-87=5', '35/5=7']
Exploring Operation: 93-7=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[35, 87, 92, 93], Operations: []
Exploring Operation: 92-87=5, Resulting Numbers: [35, 93, 5]
Generated Node #0,2: 86:[35, 93, 5] Operation: 92-87=5
Moving to Node #0,2
Current State: 86:[35, 93, 5], Operations: ['92-87=5']
Exploring Operation: 35/5=7, Resulting Numbers: [93, 7]
Generated Node #0,2,2: 86:[93, 7] Operation: 35/5=7
Moving to Node #0,2,2
Current State: 86:[93, 7], Operations: ['92-87=5', '35/5=7']
Exploring Operation: 93-7=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441 |
hs_3
|
mult_heuristic
|
[
8,
1,
97,
41
] | 65 |
[
"8+1=9",
"97-41=56",
"9+56=65"
] |
Current State: 65:[8, 1, 97, 41], Operations: []
Exploring Operation: 8+1=9, Resulting Numbers: [97, 41, 9]
Generated Node #2: [97, 41, 9] from Operation: 8+1=9
Current State: 65:[97, 41, 9], Operations: ['8+1=9']
Exploring Operation: 97-41=56, Resulting Numbers: [9, 56]
Generated Node #3: [9, 56] from Operation: 97-41=56
Current State: 65:[9, 56], Operations: ['8+1=9', '97-41=56']
Exploring Operation: 9+56=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
Current State: 65:[8, 1, 97, 41], Operations: []
Exploring Operation: 97-8=89, Resulting Numbers: [1, 41, 89]
Generated Node #0,0: 65:[1, 41, 89] Operation: 97-8=89
Exploring Operation: 97-41=56, Resulting Numbers: [8, 1, 56]
Generated Node #0,1: 65:[8, 1, 56] Operation: 97-41=56
Moving to Node #0,1
Current State: 65:[8, 1, 56], Operations: ['97-41=56']
Exploring Operation: 8+56=64, Resulting Numbers: [1, 64]
Generated Node #0,1,0: 65:[1, 64] Operation: 8+56=64
Exploring Operation: 56/8=7, Resulting Numbers: [1, 7]
Generated Node #0,1,1: 65:[1, 7] Operation: 56/8=7
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 65:[1, 64], Operations: ['97-41=56', '8+56=64']
Exploring Operation: 1+64=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[8, 1, 97, 41], Operations: []
Exploring Operation: 97-41=56, Resulting Numbers: [8, 1, 56]
Generated Node #0,1: 65:[8, 1, 56] Operation: 97-41=56
Moving to Node #0,1
Current State: 65:[8, 1, 56], Operations: ['97-41=56']
Exploring Operation: 8+56=64, Resulting Numbers: [1, 64]
Generated Node #0,1,0: 65:[1, 64] Operation: 8+56=64
Moving to Node #0,1,0
Current State: 65:[1, 64], Operations: ['97-41=56', '8+56=64']
Exploring Operation: 1+64=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 |
hs_2
|
sum_heuristic
|
[
28,
64,
8,
45
] | 25 |
[
"45-28=17",
"64/8=8",
"17+8=25"
] |
Current State: 25:[28, 64, 8, 45], Operations: []
Exploring Operation: 45-28=17, Resulting Numbers: [64, 8, 17]
Generated Node #2: [64, 8, 17] from Operation: 45-28=17
Current State: 25:[64, 8, 17], Operations: ['45-28=17']
Exploring Operation: 64/8=8, Resulting Numbers: [17, 8]
Generated Node #3: [17, 8] from Operation: 64/8=8
Current State: 25:[17, 8], Operations: ['45-28=17', '64/8=8']
Exploring Operation: 17+8=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
Current State: 25:[28, 64, 8, 45], Operations: []
Exploring Operation: 64/8=8, Resulting Numbers: [28, 45, 8]
Generated Node #0,0: 25:[28, 45, 8] Operation: 64/8=8
Exploring Operation: 64-45=19, Resulting Numbers: [28, 8, 19]
Generated Node #0,1: 25:[28, 8, 19] Operation: 64-45=19
Exploring Operation: 64-28=36, Resulting Numbers: [8, 45, 36]
Generated Node #0,2: 25:[8, 45, 36] Operation: 64-28=36
Moving to Node #0,1
Current State: 25:[28, 8, 19], Operations: ['64-45=19']
Exploring Operation: 28-19=9, Resulting Numbers: [8, 9]
Generated Node #0,1,0: 25:[8, 9] Operation: 28-19=9
Exploring Operation: 8+19=27, Resulting Numbers: [28, 27]
Generated Node #0,1,1: 25:[28, 27] Operation: 8+19=27
Exploring Operation: 19-8=11, Resulting Numbers: [28, 11]
Generated Node #0,1,2: 25:[28, 11] Operation: 19-8=11
Moving to Node #0,0
Current State: 25:[28, 45, 8], Operations: ['64/8=8']
Exploring Operation: 45-28=17, Resulting Numbers: [8, 17]
Generated Node #0,0,0: 25:[8, 17] Operation: 45-28=17
Exploring Operation: 28-8=20, Resulting Numbers: [45, 20]
Generated Node #0,0,1: 25:[45, 20] Operation: 28-8=20
Exploring Operation: 45-8=37, Resulting Numbers: [28, 37]
Generated Node #0,0,2: 25:[28, 37] Operation: 45-8=37
Moving to Node #0,2
Current State: 25:[8, 45, 36], Operations: ['64-28=36']
Exploring Operation: 45-36=9, Resulting Numbers: [8, 9]
Generated Node #0,2,0: 25:[8, 9] Operation: 45-36=9
Exploring Operation: 36-8=28, Resulting Numbers: [45, 28]
Generated Node #0,2,1: 25:[45, 28] Operation: 36-8=28
Exploring Operation: 45-8=37, Resulting Numbers: [36, 37]
Generated Node #0,2,2: 25:[36, 37] Operation: 45-8=37
Moving to Node #0,1,1
Current State: 25:[28, 27], Operations: ['64-45=19', '8+19=27']
Exploring Operation: 28+27=55, Resulting Numbers: [55]
55,25 unequal: No Solution
Exploring Operation: 28-27=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 28*27=756, Resulting Numbers: [756]
756,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[8, 9], Operations: ['64-28=36', '45-36=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,25 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,25 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Moving to Node #0,1,0
Current State: 25:[8, 9], Operations: ['64-45=19', '28-19=9']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,25 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,25 unequal: No Solution
Moving to Node #0,1,2
Current State: 25:[28, 11], Operations: ['64-45=19', '19-8=11']
Exploring Operation: 28*11=308, Resulting Numbers: [308]
308,25 unequal: No Solution
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,25 unequal: No Solution
Exploring Operation: 28+11=39, Resulting Numbers: [39]
39,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[8, 17], Operations: ['64/8=8', '45-28=17']
Exploring Operation: 8*17=136, Resulting Numbers: [136]
136,25 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,25 unequal: No Solution
Exploring Operation: 8+17=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[28, 64, 8, 45], Operations: []
Exploring Operation: 64/8=8, Resulting Numbers: [28, 45, 8]
Generated Node #0,0: 25:[28, 45, 8] Operation: 64/8=8
Moving to Node #0,0
Current State: 25:[28, 45, 8], Operations: ['64/8=8']
Exploring Operation: 45-28=17, Resulting Numbers: [8, 17]
Generated Node #0,0,0: 25:[8, 17] Operation: 45-28=17
Moving to Node #0,0,0
Current State: 25:[8, 17], Operations: ['64/8=8', '45-28=17']
Exploring Operation: 8+17=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 0.97309 |
hs_3
|
mult_heuristic
|
[
50,
2,
42,
45
] | 49 |
[
"50+2=52",
"45-42=3",
"52-3=49"
] |
Current State: 49:[50, 2, 42, 45], Operations: []
Exploring Operation: 50+2=52, Resulting Numbers: [42, 45, 52]
Generated Node #2: [42, 45, 52] from Operation: 50+2=52
Current State: 49:[42, 45, 52], Operations: ['50+2=52']
Exploring Operation: 45-42=3, Resulting Numbers: [52, 3]
Generated Node #3: [52, 3] from Operation: 45-42=3
Current State: 49:[52, 3], Operations: ['50+2=52', '45-42=3']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
Current State: 49:[50, 2, 42, 45], Operations: []
Exploring Operation: 50-42=8, Resulting Numbers: [2, 45, 8]
Generated Node #0,0: 49:[2, 45, 8] Operation: 50-42=8
Exploring Operation: 2+42=44, Resulting Numbers: [50, 45, 44]
Generated Node #0,1: 49:[50, 45, 44] Operation: 2+42=44
Moving to Node #0,0
Current State: 49:[2, 45, 8], Operations: ['50-42=8']
Exploring Operation: 2+45=47, Resulting Numbers: [8, 47]
Generated Node #0,0,0: 49:[8, 47] Operation: 2+45=47
Exploring Operation: 8-2=6, Resulting Numbers: [45, 6]
Generated Node #0,0,1: 49:[45, 6] Operation: 8-2=6
Moving to Node #0,1
Current State: 49:[50, 45, 44], Operations: ['2+42=44']
Exploring Operation: 50-45=5, Resulting Numbers: [44, 5]
Generated Node #0,1,0: 49:[44, 5] Operation: 50-45=5
Exploring Operation: 50-44=6, Resulting Numbers: [45, 6]
Generated Node #0,1,1: 49:[45, 6] Operation: 50-44=6
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 49:[45, 6], Operations: ['2+42=44', '50-44=6']
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 49:[44, 5], Operations: ['2+42=44', '50-45=5']
Exploring Operation: 44+5=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[50, 2, 42, 45], Operations: []
Exploring Operation: 2+42=44, Resulting Numbers: [50, 45, 44]
Generated Node #0,1: 49:[50, 45, 44] Operation: 2+42=44
Moving to Node #0,1
Current State: 49:[50, 45, 44], Operations: ['2+42=44']
Exploring Operation: 50-45=5, Resulting Numbers: [44, 5]
Generated Node #0,1,0: 49:[44, 5] Operation: 50-45=5
Moving to Node #0,1,0
Current State: 49:[44, 5], Operations: ['2+42=44', '50-45=5']
Exploring Operation: 44+5=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 |
hs_2
|
mult_heuristic
|
[
75,
2,
37,
46
] | 16 |
[
"75-37=38",
"46-38=8",
"2*8=16"
] |
Current State: 16:[75, 2, 37, 46], Operations: []
Exploring Operation: 75-37=38, Resulting Numbers: [2, 46, 38]
Generated Node #2: [2, 46, 38] from Operation: 75-37=38
Current State: 16:[2, 46, 38], Operations: ['75-37=38']
Exploring Operation: 46-38=8, Resulting Numbers: [2, 8]
Generated Node #3: [2, 8] from Operation: 46-38=8
Current State: 16:[2, 8], Operations: ['75-37=38', '46-38=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
Current State: 16:[75, 2, 37, 46], Operations: []
Exploring Operation: 75-2=73, Resulting Numbers: [37, 46, 73]
Generated Node #0,0: 16:[37, 46, 73] Operation: 75-2=73
Exploring Operation: 46/2=23, Resulting Numbers: [75, 37, 23]
Generated Node #0,1: 16:[75, 37, 23] Operation: 46/2=23
Exploring Operation: 46-37=9, Resulting Numbers: [75, 2, 9]
Generated Node #0,2: 16:[75, 2, 9] Operation: 46-37=9
Exploring Operation: 75-37=38, Resulting Numbers: [2, 46, 38]
Generated Node #0,3: 16:[2, 46, 38] Operation: 75-37=38
Exploring Operation: 75-46=29, Resulting Numbers: [2, 37, 29]
Generated Node #0,4: 16:[2, 37, 29] Operation: 75-46=29
Start Sub Search at level 1: Moving to Node #0,4
Current State: 16:[2, 37, 29], Operations: ['75-46=29']
Exploring Operation: 37-29=8, Resulting Numbers: [2, 8]
Generated Node #0,4,0: 16:[2, 8] Operation: 37-29=8
Exploring Operation: 29-2=27, Resulting Numbers: [37, 27]
Generated Node #0,4,1: 16:[37, 27] Operation: 29-2=27
Exploring Operation: 2+29=31, Resulting Numbers: [37, 31]
Generated Node #0,4,2: 16:[37, 31] Operation: 2+29=31
Exploring Operation: 37-2=35, Resulting Numbers: [29, 35]
Generated Node #0,4,3: 16:[29, 35] Operation: 37-2=35
Exploring Operation: 2+37=39, Resulting Numbers: [29, 39]
Generated Node #0,4,4: 16:[29, 39] Operation: 2+37=39
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 16:[2, 8], Operations: ['75-46=29', '37-29=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[75, 2, 37, 46], Operations: []
Exploring Operation: 75-46=29, Resulting Numbers: [2, 37, 29]
Generated Node #0,4: 16:[2, 37, 29] Operation: 75-46=29
Moving to Node #0,4
Current State: 16:[2, 37, 29], Operations: ['75-46=29']
Exploring Operation: 37-29=8, Resulting Numbers: [2, 8]
Generated Node #0,4,0: 16:[2, 8] Operation: 37-29=8
Moving to Node #0,4,0
Current State: 16:[2, 8], Operations: ['75-46=29', '37-29=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 |
hs_5
|
sum_heuristic
|
[
18,
67,
58,
72
] | 74 |
[
"67-58=9",
"18/9=2",
"72+2=74"
] |
Current State: 74:[18, 67, 58, 72], Operations: []
Exploring Operation: 67-58=9, Resulting Numbers: [18, 72, 9]
Generated Node #2: [18, 72, 9] from Operation: 67-58=9
Current State: 74:[18, 72, 9], Operations: ['67-58=9']
Exploring Operation: 18/9=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 18/9=2
Current State: 74:[72, 2], Operations: ['67-58=9', '18/9=2']
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
Current State: 74:[18, 67, 58, 72], Operations: []
Exploring Operation: 18+58=76, Resulting Numbers: [67, 72, 76]
Generated Node #0,0: 74:[67, 72, 76] Operation: 18+58=76
Exploring Operation: 58-18=40, Resulting Numbers: [67, 72, 40]
Generated Node #0,1: 74:[67, 72, 40] Operation: 58-18=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[67, 72, 76], Operations: ['18+58=76']
Exploring Operation: 76-67=9, Resulting Numbers: [72, 9]
Generated Node #0,0,0: 74:[72, 9] Operation: 76-67=9
Exploring Operation: 72-67=5, Resulting Numbers: [76, 5]
Generated Node #0,0,1: 74:[76, 5] Operation: 72-67=5
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 74:[76, 5], Operations: ['18+58=76', '72-67=5']
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,74 unequal: No Solution
Exploring Operation: 76+5=81, Resulting Numbers: [81]
81,74 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:[72, 9], Operations: ['18+58=76', '76-67=9']
Exploring Operation: 72/9=8, Resulting Numbers: [8]
8,74 unequal: No Solution
Exploring Operation: 72+9=81, Resulting Numbers: [81]
81,74 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 #0,1
Current State: 74:[67, 72, 40], Operations: ['58-18=40']
Exploring Operation: 72-67=5, Resulting Numbers: [40, 5]
Generated Node #0,1,0: 74:[40, 5] Operation: 72-67=5
Exploring Operation: 67-40=27, Resulting Numbers: [72, 27]
Generated Node #0,1,1: 74:[72, 27] Operation: 67-40=27
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 74:[40, 5], Operations: ['58-18=40', '72-67=5']
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,74 unequal: No Solution
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,74 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 #0,1,1
Current State: 74:[72, 27], Operations: ['58-18=40', '67-40=27']
Exploring Operation: 72+27=99, Resulting Numbers: [99]
99,74 unequal: No Solution
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,74 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
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
47,
32,
77,
82
] | 75 |
[
"47-32=15",
"82-77=5",
"15*5=75"
] |
Current State: 75:[47, 32, 77, 82], Operations: []
Exploring Operation: 47-32=15, Resulting Numbers: [77, 82, 15]
Generated Node #2: [77, 82, 15] from Operation: 47-32=15
Current State: 75:[77, 82, 15], Operations: ['47-32=15']
Exploring Operation: 82-77=5, Resulting Numbers: [15, 5]
Generated Node #3: [15, 5] from Operation: 82-77=5
Current State: 75:[15, 5], Operations: ['47-32=15', '82-77=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
Current State: 75:[47, 32, 77, 82], Operations: []
Exploring Operation: 47+32=79, Resulting Numbers: [77, 82, 79]
Generated Node #0,0: 75:[77, 82, 79] Operation: 47+32=79
Exploring Operation: 77-47=30, Resulting Numbers: [32, 82, 30]
Generated Node #0,1: 75:[32, 82, 30] Operation: 77-47=30
Exploring Operation: 47-32=15, Resulting Numbers: [77, 82, 15]
Generated Node #0,2: 75:[77, 82, 15] Operation: 47-32=15
Exploring Operation: 82-47=35, Resulting Numbers: [32, 77, 35]
Generated Node #0,3: 75:[32, 77, 35] Operation: 82-47=35
Start Sub Search at level 1: Moving to Node #0,2
Current State: 75:[77, 82, 15], Operations: ['47-32=15']
Exploring Operation: 82-77=5, Resulting Numbers: [15, 5]
Generated Node #0,2,0: 75:[15, 5] Operation: 82-77=5
Exploring Operation: 82-15=67, Resulting Numbers: [77, 67]
Generated Node #0,2,1: 75:[77, 67] Operation: 82-15=67
Exploring Operation: 77+15=92, Resulting Numbers: [82, 92]
Generated Node #0,2,2: 75:[82, 92] Operation: 77+15=92
Exploring Operation: 77-15=62, Resulting Numbers: [82, 62]
Generated Node #0,2,3: 75:[82, 62] Operation: 77-15=62
Moving to Node #0,2,0
Current State: 75:[15, 5], Operations: ['47-32=15', '82-77=5']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,75 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[47, 32, 77, 82], Operations: []
Exploring Operation: 47-32=15, Resulting Numbers: [77, 82, 15]
Generated Node #0,2: 75:[77, 82, 15] Operation: 47-32=15
Moving to Node #0,2
Current State: 75:[77, 82, 15], Operations: ['47-32=15']
Exploring Operation: 82-77=5, Resulting Numbers: [15, 5]
Generated Node #0,2,0: 75:[15, 5] Operation: 82-77=5
Moving to Node #0,2,0
Current State: 75:[15, 5], Operations: ['47-32=15', '82-77=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 |
hs_4
|
mult_heuristic
|
[
17,
18,
66,
20
] | 16 |
[
"20-17=3",
"66-18=48",
"48/3=16"
] |
Current State: 16:[17, 18, 66, 20], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [18, 66, 3]
Generated Node #2: [18, 66, 3] from Operation: 20-17=3
Current State: 16:[18, 66, 3], Operations: ['20-17=3']
Exploring Operation: 66-18=48, Resulting Numbers: [3, 48]
Generated Node #3: [3, 48] from Operation: 66-18=48
Current State: 16:[3, 48], Operations: ['20-17=3', '66-18=48']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
Current State: 16:[17, 18, 66, 20], Operations: []
Exploring Operation: 20-18=2, Resulting Numbers: [17, 66, 2]
Generated Node #0,0: 16:[17, 66, 2] Operation: 20-18=2
Exploring Operation: 66-20=46, Resulting Numbers: [17, 18, 46]
Generated Node #0,1: 16:[17, 18, 46] Operation: 66-20=46
Exploring Operation: 66-17=49, Resulting Numbers: [18, 20, 49]
Generated Node #0,2: 16:[18, 20, 49] Operation: 66-17=49
Exploring Operation: 66-18=48, Resulting Numbers: [17, 20, 48]
Generated Node #0,3: 16:[17, 20, 48] Operation: 66-18=48
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[17, 18, 46], Operations: ['66-20=46']
Exploring Operation: 17+18=35, Resulting Numbers: [46, 35]
Generated Node #0,1,0: 16:[46, 35] Operation: 17+18=35
Exploring Operation: 18-17=1, Resulting Numbers: [46, 1]
Generated Node #0,1,1: 16:[46, 1] Operation: 18-17=1
Exploring Operation: 46-17=29, Resulting Numbers: [18, 29]
Generated Node #0,1,2: 16:[18, 29] Operation: 46-17=29
Exploring Operation: 46-18=28, Resulting Numbers: [17, 28]
Generated Node #0,1,3: 16:[17, 28] Operation: 46-18=28
Moving to Node #0,1,3
Current State: 16:[17, 28], Operations: ['66-20=46', '46-18=28']
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 17+28=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 17*28=476, Resulting Numbers: [476]
476,16 unequal: No Solution
Moving to Node #0,1,2
Current State: 16:[18, 29], Operations: ['66-20=46', '46-17=29']
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 18*29=522, Resulting Numbers: [522]
522,16 unequal: No Solution
Exploring Operation: 18+29=47, Resulting Numbers: [47]
47,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[46, 1], Operations: ['66-20=46', '18-17=1']
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,16 unequal: No Solution
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,16 unequal: No Solution
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,16 unequal: No Solution
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Moving to Node #0,1,0
Current State: 16:[46, 35], Operations: ['66-20=46', '17+18=35']
Exploring Operation: 46+35=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Exploring Operation: 46*35=1610, Resulting Numbers: [1610]
1610,16 unequal: No Solution
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 16:[17, 20, 48], Operations: ['66-18=48']
Exploring Operation: 17+20=37, Resulting Numbers: [48, 37]
Generated Node #0,3,0: 16:[48, 37] Operation: 17+20=37
Exploring Operation: 48-17=31, Resulting Numbers: [20, 31]
Generated Node #0,3,1: 16:[20, 31] Operation: 48-17=31
Exploring Operation: 48-20=28, Resulting Numbers: [17, 28]
Generated Node #0,3,2: 16:[17, 28] Operation: 48-20=28
Exploring Operation: 20-17=3, Resulting Numbers: [48, 3]
Generated Node #0,3,3: 16:[48, 3] Operation: 20-17=3
Moving to Node #0,3,2
Current State: 16:[17, 28], Operations: ['66-18=48', '48-20=28']
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 17+28=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 17*28=476, Resulting Numbers: [476]
476,16 unequal: No Solution
Moving to Node #0,3,1
Current State: 16:[20, 31], Operations: ['66-18=48', '48-17=31']
Exploring Operation: 20*31=620, Resulting Numbers: [620]
620,16 unequal: No Solution
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 20+31=51, Resulting Numbers: [51]
51,16 unequal: No Solution
Moving to Node #0,3,3
Current State: 16:[48, 3], Operations: ['66-18=48', '20-17=3']
Exploring Operation: 48*3=144, Resulting Numbers: [144]
144,16 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,16 unequal: No Solution
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,16 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[17, 18, 66, 20], Operations: []
Exploring Operation: 66-18=48, Resulting Numbers: [17, 20, 48]
Generated Node #0,3: 16:[17, 20, 48] Operation: 66-18=48
Moving to Node #0,3
Current State: 16:[17, 20, 48], Operations: ['66-18=48']
Exploring Operation: 20-17=3, Resulting Numbers: [48, 3]
Generated Node #0,3,3: 16:[48, 3] Operation: 20-17=3
Moving to Node #0,3,3
Current State: 16:[48, 3], Operations: ['66-18=48', '20-17=3']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 |
hs_4
|
mult_heuristic
|
[
1,
72,
38,
35
] | 25 |
[
"38-35=3",
"72/3=24",
"1+24=25"
] |
Current State: 25:[1, 72, 38, 35], Operations: []
Exploring Operation: 38-35=3, Resulting Numbers: [1, 72, 3]
Generated Node #2: [1, 72, 3] from Operation: 38-35=3
Current State: 25:[1, 72, 3], Operations: ['38-35=3']
Exploring Operation: 72/3=24, Resulting Numbers: [1, 24]
Generated Node #3: [1, 24] from Operation: 72/3=24
Current State: 25:[1, 24], Operations: ['38-35=3', '72/3=24']
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
Current State: 25:[1, 72, 38, 35], Operations: []
Exploring Operation: 38-35=3, Resulting Numbers: [1, 72, 3]
Generated Node #0,0: 25:[1, 72, 3] Operation: 38-35=3
Exploring Operation: 72-1=71, Resulting Numbers: [38, 35, 71]
Generated Node #0,1: 25:[38, 35, 71] Operation: 72-1=71
Exploring Operation: 72-35=37, Resulting Numbers: [1, 38, 37]
Generated Node #0,2: 25:[1, 38, 37] Operation: 72-35=37
Exploring Operation: 72-38=34, Resulting Numbers: [1, 35, 34]
Generated Node #0,3: 25:[1, 35, 34] Operation: 72-38=34
Exploring Operation: 38-1=37, Resulting Numbers: [72, 35, 37]
Generated Node #0,4: 25:[72, 35, 37] Operation: 38-1=37
Moving to Node #0,3
Current State: 25:[1, 35, 34], Operations: ['72-38=34']
Exploring Operation: 35-1=34, Resulting Numbers: [34, 34]
Generated Node #0,3,0: 25:[34, 34] Operation: 35-1=34
Exploring Operation: 34-1=33, Resulting Numbers: [35, 33]
Generated Node #0,3,1: 25:[35, 33] Operation: 34-1=33
Exploring Operation: 35/1=35, Resulting Numbers: [34, 35]
Generated Node #0,3,2: 25:[34, 35] Operation: 35/1=35
Exploring Operation: 1*35=35, Resulting Numbers: [34, 35]
Generated Node #0,3,3: 25:[34, 35] Operation: 1*35=35
Exploring Operation: 35-34=1, Resulting Numbers: [1, 1]
Generated Node #0,3,4: 25:[1, 1] Operation: 35-34=1
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 25:[1, 1], Operations: ['72-38=34', '35-34=1']
Exploring Operation: 1-1=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 1/1=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 1*1=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 1+1=2, Resulting Numbers: [2]
2,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 25:[34, 34], Operations: ['72-38=34', '35-1=34']
Exploring Operation: 34-34=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 34*34=1156, Resulting Numbers: [1156]
1156,25 unequal: No Solution
Exploring Operation: 34+34=68, Resulting Numbers: [68]
68,25 unequal: No Solution
Exploring Operation: 34/34=1, Resulting Numbers: [1]
1,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 25:[35, 33], Operations: ['72-38=34', '34-1=33']
Exploring Operation: 35+33=68, Resulting Numbers: [68]
68,25 unequal: No Solution
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 35*33=1155, Resulting Numbers: [1155]
1155,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 25:[34, 35], Operations: ['72-38=34', '35/1=35']
Exploring Operation: 34*35=1190, Resulting Numbers: [1190]
1190,25 unequal: No Solution
Exploring Operation: 34+35=69, Resulting Numbers: [69]
69,25 unequal: No Solution
Exploring Operation: 35-34=1, Resulting Numbers: [1]
1,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 25:[34, 35], Operations: ['72-38=34', '1*35=35']
Exploring Operation: 35-34=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 34+35=69, Resulting Numbers: [69]
69,25 unequal: No Solution
Exploring Operation: 34*35=1190, Resulting Numbers: [1190]
1190,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 25:[1, 38, 37], Operations: ['72-35=37']
Exploring Operation: 38/1=38, Resulting Numbers: [37, 38]
Generated Node #0,2,0: 25:[37, 38] Operation: 38/1=38
Exploring Operation: 38-1=37, Resulting Numbers: [37, 37]
Generated Node #0,2,1: 25:[37, 37] Operation: 38-1=37
Exploring Operation: 1*38=38, Resulting Numbers: [37, 38]
Generated Node #0,2,2: 25:[37, 38] Operation: 1*38=38
Exploring Operation: 38-37=1, Resulting Numbers: [1, 1]
Generated Node #0,2,3: 25:[1, 1] Operation: 38-37=1
Exploring Operation: 37-1=36, Resulting Numbers: [38, 36]
Generated Node #0,2,4: 25:[38, 36] Operation: 37-1=36
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 25:[1, 1], Operations: ['72-35=37', '38-37=1']
Exploring Operation: 1*1=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 1+1=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 1/1=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 1-1=0, Resulting Numbers: [0]
0,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 25:[37, 37], Operations: ['72-35=37', '38-1=37']
Exploring Operation: 37+37=74, Resulting Numbers: [74]
74,25 unequal: No Solution
Exploring Operation: 37/37=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 37*37=1369, Resulting Numbers: [1369]
1369,25 unequal: No Solution
Exploring Operation: 37-37=0, Resulting Numbers: [0]
0,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 25:[38, 36], Operations: ['72-35=37', '37-1=36']
Exploring Operation: 38*36=1368, Resulting Numbers: [1368]
1368,25 unequal: No Solution
Exploring Operation: 38+36=74, Resulting Numbers: [74]
74,25 unequal: No Solution
Exploring Operation: 38-36=2, Resulting Numbers: [2]
2,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 25:[37, 38], Operations: ['72-35=37', '38/1=38']
Exploring Operation: 38-37=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 37+38=75, Resulting Numbers: [75]
75,25 unequal: No Solution
Exploring Operation: 37*38=1406, Resulting Numbers: [1406]
1406,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 25:[37, 38], Operations: ['72-35=37', '1*38=38']
Exploring Operation: 37+38=75, Resulting Numbers: [75]
75,25 unequal: No Solution
Exploring Operation: 37*38=1406, Resulting Numbers: [1406]
1406,25 unequal: No Solution
Exploring Operation: 38-37=1, Resulting Numbers: [1]
1,25 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: 25:[1, 72, 3], Operations: ['38-35=3']
Exploring Operation: 72-1=71, Resulting Numbers: [3, 71]
Generated Node #0,0,0: 25:[3, 71] Operation: 72-1=71
Exploring Operation: 72/3=24, Resulting Numbers: [1, 24]
Generated Node #0,0,1: 25:[1, 24] Operation: 72/3=24
Exploring Operation: 72-3=69, Resulting Numbers: [1, 69]
Generated Node #0,0,2: 25:[1, 69] Operation: 72-3=69
Exploring Operation: 1*72=72, Resulting Numbers: [3, 72]
Generated Node #0,0,3: 25:[3, 72] Operation: 1*72=72
Exploring Operation: 1+3=4, Resulting Numbers: [72, 4]
Generated Node #0,0,4: 25:[72, 4] Operation: 1+3=4
Moving to Node #0,1
Current State: 25:[38, 35, 71], Operations: ['72-1=71']
Exploring Operation: 71-35=36, Resulting Numbers: [38, 36]
Generated Node #0,1,0: 25:[38, 36] Operation: 71-35=36
Exploring Operation: 38+35=73, Resulting Numbers: [71, 73]
Generated Node #0,1,1: 25:[71, 73] Operation: 38+35=73
Exploring Operation: 71-38=33, Resulting Numbers: [35, 33]
Generated Node #0,1,2: 25:[35, 33] Operation: 71-38=33
Exploring Operation: 38-35=3, Resulting Numbers: [71, 3]
Generated Node #0,1,3: 25:[71, 3] Operation: 38-35=3
Exploring Operation: 38+71=109, Resulting Numbers: [35, 109]
Generated Node #0,1,4: 25:[35, 109] Operation: 38+71=109
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 25:[35, 33], Operations: ['72-1=71', '71-38=33']
Exploring Operation: 35-33=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 35*33=1155, Resulting Numbers: [1155]
1155,25 unequal: No Solution
Exploring Operation: 35+33=68, Resulting Numbers: [68]
68,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 25:[38, 36], Operations: ['72-1=71', '71-35=36']
Exploring Operation: 38+36=74, Resulting Numbers: [74]
74,25 unequal: No Solution
Exploring Operation: 38*36=1368, Resulting Numbers: [1368]
1368,25 unequal: No Solution
Exploring Operation: 38-36=2, Resulting Numbers: [2]
2,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 25:[71, 3], Operations: ['72-1=71', '38-35=3']
Exploring Operation: 71*3=213, Resulting Numbers: [213]
213,25 unequal: No Solution
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,25 unequal: No Solution
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 25:[71, 73], Operations: ['72-1=71', '38+35=73']
Exploring Operation: 71*73=5183, Resulting Numbers: [5183]
5183,25 unequal: No Solution
Exploring Operation: 73-71=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 71+73=144, Resulting Numbers: [144]
144,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 25:[35, 109], Operations: ['72-1=71', '38+71=109']
Exploring Operation: 35*109=3815, Resulting Numbers: [3815]
3815,25 unequal: No Solution
Exploring Operation: 109-35=74, Resulting Numbers: [74]
74,25 unequal: No Solution
Exploring Operation: 35+109=144, Resulting Numbers: [144]
144,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 25:[72, 35, 37], Operations: ['38-1=37']
Exploring Operation: 37-35=2, Resulting Numbers: [72, 2]
Generated Node #0,4,0: 25:[72, 2] Operation: 37-35=2
Exploring Operation: 72-37=35, Resulting Numbers: [35, 35]
Generated Node #0,4,1: 25:[35, 35] Operation: 72-37=35
Exploring Operation: 72+37=109, Resulting Numbers: [35, 109]
Generated Node #0,4,2: 25:[35, 109] Operation: 72+37=109
Exploring Operation: 72-35=37, Resulting Numbers: [37, 37]
Generated Node #0,4,3: 25:[37, 37] Operation: 72-35=37
Exploring Operation: 72+35=107, Resulting Numbers: [37, 107]
Generated Node #0,4,4: 25:[37, 107] Operation: 72+35=107
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 25:[35, 35], Operations: ['38-1=37', '72-37=35']
Exploring Operation: 35+35=70, Resulting Numbers: [70]
70,25 unequal: No Solution
Exploring Operation: 35*35=1225, Resulting Numbers: [1225]
1225,25 unequal: No Solution
Exploring Operation: 35-35=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 35/35=1, Resulting Numbers: [1]
1,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 25:[37, 37], Operations: ['38-1=37', '72-35=37']
Exploring Operation: 37/37=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 37-37=0, Resulting Numbers: [0]
0,25 unequal: No Solution
Exploring Operation: 37*37=1369, Resulting Numbers: [1369]
1369,25 unequal: No Solution
Exploring Operation: 37+37=74, Resulting Numbers: [74]
74,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 25:[72, 2], Operations: ['38-1=37', '37-35=2']
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,25 unequal: No Solution
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,25 unequal: No Solution
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,25 unequal: No Solution
Exploring Operation: 72*2=144, Resulting Numbers: [144]
144,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 25:[35, 109], Operations: ['38-1=37', '72+37=109']
Exploring Operation: 109-35=74, Resulting Numbers: [74]
74,25 unequal: No Solution
Exploring Operation: 35+109=144, Resulting Numbers: [144]
144,25 unequal: No Solution
Exploring Operation: 35*109=3815, Resulting Numbers: [3815]
3815,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 25:[37, 107], Operations: ['38-1=37', '72+35=107']
Exploring Operation: 37*107=3959, Resulting Numbers: [3959]
3959,25 unequal: No Solution
Exploring Operation: 37+107=144, Resulting Numbers: [144]
144,25 unequal: No Solution
Exploring Operation: 107-37=70, Resulting Numbers: [70]
70,25 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: 25:[1, 24], Operations: ['38-35=3', '72/3=24']
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[1, 72, 38, 35], Operations: []
Exploring Operation: 38-35=3, Resulting Numbers: [1, 72, 3]
Generated Node #0,0: 25:[1, 72, 3] Operation: 38-35=3
Moving to Node #0,0
Current State: 25:[1, 72, 3], Operations: ['38-35=3']
Exploring Operation: 72/3=24, Resulting Numbers: [1, 24]
Generated Node #0,0,1: 25:[1, 24] Operation: 72/3=24
Moving to Node #0,0,1
Current State: 25:[1, 24], Operations: ['38-35=3', '72/3=24']
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 0.91059 |
hs_5
|
mult_heuristic
|
[
77,
83,
17,
74
] | 51 |
[
"83-77=6",
"74-17=57",
"57-6=51"
] |
Current State: 51:[77, 83, 17, 74], Operations: []
Exploring Operation: 83-77=6, Resulting Numbers: [17, 74, 6]
Generated Node #2: [17, 74, 6] from Operation: 83-77=6
Current State: 51:[17, 74, 6], Operations: ['83-77=6']
Exploring Operation: 74-17=57, Resulting Numbers: [6, 57]
Generated Node #3: [6, 57] from Operation: 74-17=57
Current State: 51:[6, 57], Operations: ['83-77=6', '74-17=57']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
Current State: 51:[77, 83, 17, 74], Operations: []
Exploring Operation: 83-77=6, Resulting Numbers: [17, 74, 6]
Generated Node #0,0: 51:[17, 74, 6] Operation: 83-77=6
Moving to Node #0,0
Current State: 51:[17, 74, 6], Operations: ['83-77=6']
Exploring Operation: 74-17=57, Resulting Numbers: [6, 57]
Generated Node #0,0,0: 51:[6, 57] Operation: 74-17=57
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[6, 57], Operations: ['83-77=6', '74-17=57']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[77, 83, 17, 74], Operations: []
Exploring Operation: 83-77=6, Resulting Numbers: [17, 74, 6]
Generated Node #0,0: 51:[17, 74, 6] Operation: 83-77=6
Moving to Node #0,0
Current State: 51:[17, 74, 6], Operations: ['83-77=6']
Exploring Operation: 74-17=57, Resulting Numbers: [6, 57]
Generated Node #0,0,0: 51:[6, 57] Operation: 74-17=57
Moving to Node #0,0,0
Current State: 51:[6, 57], Operations: ['83-77=6', '74-17=57']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
mult_heuristic
|
[
28,
40,
42,
45
] | 99 |
[
"40-28=12",
"42+45=87",
"12+87=99"
] |
Current State: 99:[28, 40, 42, 45], Operations: []
Exploring Operation: 40-28=12, Resulting Numbers: [42, 45, 12]
Generated Node #2: [42, 45, 12] from Operation: 40-28=12
Current State: 99:[42, 45, 12], Operations: ['40-28=12']
Exploring Operation: 42+45=87, Resulting Numbers: [12, 87]
Generated Node #3: [12, 87] from Operation: 42+45=87
Current State: 99:[12, 87], Operations: ['40-28=12', '42+45=87']
Exploring Operation: 12+87=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
Current State: 99:[28, 40, 42, 45], Operations: []
Exploring Operation: 45-42=3, Resulting Numbers: [28, 40, 3]
Generated Node #0,0: 99:[28, 40, 3] Operation: 45-42=3
Exploring Operation: 45-40=5, Resulting Numbers: [28, 42, 5]
Generated Node #0,1: 99:[28, 42, 5] Operation: 45-40=5
Moving to Node #0,0
Current State: 99:[28, 40, 3], Operations: ['45-42=3']
Exploring Operation: 28+3=31, Resulting Numbers: [40, 31]
Generated Node #0,0,0: 99:[40, 31] Operation: 28+3=31
Exploring Operation: 40-28=12, Resulting Numbers: [3, 12]
Generated Node #0,0,1: 99:[3, 12] Operation: 40-28=12
Moving to Node #0,1
Current State: 99:[28, 42, 5], Operations: ['45-40=5']
Exploring Operation: 42-28=14, Resulting Numbers: [5, 14]
Generated Node #0,1,0: 99:[5, 14] Operation: 42-28=14
Exploring Operation: 28+5=33, Resulting Numbers: [42, 33]
Generated Node #0,1,1: 99:[42, 33] Operation: 28+5=33
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 99:[5, 14], Operations: ['45-40=5', '42-28=14']
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 99:[42, 33], Operations: ['45-40=5', '28+5=33']
Exploring Operation: 42-33=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 42+33=75, Resulting Numbers: [75]
75,99 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: 99:[3, 12], Operations: ['45-42=3', '40-28=12']
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,99 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,99 unequal: No Solution
Moving to Node #0,0,0
Current State: 99:[40, 31], Operations: ['45-42=3', '28+3=31']
Exploring Operation: 40+31=71, Resulting Numbers: [71]
71,99 unequal: No Solution
Exploring Operation: 40-31=9, Resulting Numbers: [9]
9,99 unequal: No Solution
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
13,
16,
30,
38
] | 48 |
[
"16-13=3",
"30/3=10",
"38+10=48"
] |
Current State: 48:[13, 16, 30, 38], Operations: []
Exploring Operation: 16-13=3, Resulting Numbers: [30, 38, 3]
Generated Node #2: [30, 38, 3] from Operation: 16-13=3
Current State: 48:[30, 38, 3], Operations: ['16-13=3']
Exploring Operation: 30/3=10, Resulting Numbers: [38, 10]
Generated Node #3: [38, 10] from Operation: 30/3=10
Current State: 48:[38, 10], Operations: ['16-13=3', '30/3=10']
Exploring Operation: 38+10=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
Current State: 48:[13, 16, 30, 38], Operations: []
Exploring Operation: 38-30=8, Resulting Numbers: [13, 16, 8]
Generated Node #0,0: 48:[13, 16, 8] Operation: 38-30=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[13, 16, 8], Operations: ['38-30=8']
Exploring Operation: 16-13=3, Resulting Numbers: [8, 3]
Generated Node #0,0,0: 48:[8, 3] Operation: 16-13=3
Moving to Node #0,0,0
Current State: 48:[8, 3], Operations: ['38-30=8', '16-13=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,48 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
|
[
75,
62,
33,
68
] | 36 |
[
"75+62=137",
"33+68=101",
"137-101=36"
] |
Current State: 36:[75, 62, 33, 68], Operations: []
Exploring Operation: 75+62=137, Resulting Numbers: [33, 68, 137]
Generated Node #2: [33, 68, 137] from Operation: 75+62=137
Current State: 36:[33, 68, 137], Operations: ['75+62=137']
Exploring Operation: 33+68=101, Resulting Numbers: [137, 101]
Generated Node #3: [137, 101] from Operation: 33+68=101
Current State: 36:[137, 101], Operations: ['75+62=137', '33+68=101']
Exploring Operation: 137-101=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
Current State: 36:[75, 62, 33, 68], Operations: []
Exploring Operation: 68-33=35, Resulting Numbers: [75, 62, 35]
Generated Node #0,0: 36:[75, 62, 35] Operation: 68-33=35
Exploring Operation: 68-62=6, Resulting Numbers: [75, 33, 6]
Generated Node #0,1: 36:[75, 33, 6] Operation: 68-62=6
Exploring Operation: 75-33=42, Resulting Numbers: [62, 68, 42]
Generated Node #0,2: 36:[62, 68, 42] Operation: 75-33=42
Exploring Operation: 75-68=7, Resulting Numbers: [62, 33, 7]
Generated Node #0,3: 36:[62, 33, 7] Operation: 75-68=7
Exploring Operation: 75-62=13, Resulting Numbers: [33, 68, 13]
Generated Node #0,4: 36:[33, 68, 13] Operation: 75-62=13
Start Sub Search at level 1: Moving to Node #0,3
Current State: 36:[62, 33, 7], Operations: ['75-68=7']
Exploring Operation: 62-7=55, Resulting Numbers: [33, 55]
Generated Node #0,3,0: 36:[33, 55] Operation: 62-7=55
Exploring Operation: 62+7=69, Resulting Numbers: [33, 69]
Generated Node #0,3,1: 36:[33, 69] Operation: 62+7=69
Exploring Operation: 33-7=26, Resulting Numbers: [62, 26]
Generated Node #0,3,2: 36:[62, 26] Operation: 33-7=26
Exploring Operation: 62-33=29, Resulting Numbers: [7, 29]
Generated Node #0,3,3: 36:[7, 29] Operation: 62-33=29
Exploring Operation: 33+7=40, Resulting Numbers: [62, 40]
Generated Node #0,3,4: 36:[62, 40] Operation: 33+7=40
Moving to Node #0,3,3
Current State: 36:[7, 29], Operations: ['75-68=7', '62-33=29']
Exploring Operation: 7+29=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[75, 62, 33, 68], Operations: []
Exploring Operation: 75-68=7, Resulting Numbers: [62, 33, 7]
Generated Node #0,3: 36:[62, 33, 7] Operation: 75-68=7
Moving to Node #0,3
Current State: 36:[62, 33, 7], Operations: ['75-68=7']
Exploring Operation: 62-33=29, Resulting Numbers: [7, 29]
Generated Node #0,3,3: 36:[7, 29] Operation: 62-33=29
Moving to Node #0,3,3
Current State: 36:[7, 29], Operations: ['75-68=7', '62-33=29']
Exploring Operation: 7+29=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 |
hs_5
|
mult_heuristic
|
[
10,
27,
1,
57
] | 95 |
[
"10+27=37",
"1+57=58",
"37+58=95"
] |
Current State: 95:[10, 27, 1, 57], Operations: []
Exploring Operation: 10+27=37, Resulting Numbers: [1, 57, 37]
Generated Node #2: [1, 57, 37] from Operation: 10+27=37
Current State: 95:[1, 57, 37], Operations: ['10+27=37']
Exploring Operation: 1+57=58, Resulting Numbers: [37, 58]
Generated Node #3: [37, 58] from Operation: 1+57=58
Current State: 95:[37, 58], Operations: ['10+27=37', '1+57=58']
Exploring Operation: 37+58=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
Current State: 95:[10, 27, 1, 57], Operations: []
Exploring Operation: 10+57=67, Resulting Numbers: [27, 1, 67]
Generated Node #0,0: 95:[27, 1, 67] Operation: 10+57=67
Exploring Operation: 27+57=84, Resulting Numbers: [10, 1, 84]
Generated Node #0,1: 95:[10, 1, 84] Operation: 27+57=84
Exploring Operation: 57-27=30, Resulting Numbers: [10, 1, 30]
Generated Node #0,2: 95:[10, 1, 30] Operation: 57-27=30
Moving to Node #0,1
Current State: 95:[10, 1, 84], Operations: ['27+57=84']
Exploring Operation: 10-1=9, Resulting Numbers: [84, 9]
Generated Node #0,1,0: 95:[84, 9] Operation: 10-1=9
Exploring Operation: 1+84=85, Resulting Numbers: [10, 85]
Generated Node #0,1,1: 95:[10, 85] Operation: 1+84=85
Exploring Operation: 10+84=94, Resulting Numbers: [1, 94]
Generated Node #0,1,2: 95:[1, 94] Operation: 10+84=94
Moving to Node #0,2
Current State: 95:[10, 1, 30], Operations: ['57-27=30']
Exploring Operation: 30-10=20, Resulting Numbers: [1, 20]
Generated Node #0,2,0: 95:[1, 20] Operation: 30-10=20
Exploring Operation: 30/10=3, Resulting Numbers: [1, 3]
Generated Node #0,2,1: 95:[1, 3] Operation: 30/10=3
Exploring Operation: 10-1=9, Resulting Numbers: [30, 9]
Generated Node #0,2,2: 95:[30, 9] Operation: 10-1=9
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 95:[1, 20], Operations: ['57-27=30', '30-10=20']
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,95 unequal: No Solution
Exploring Operation: 1*20=20, Resulting Numbers: [20]
20,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 95:[1, 3], Operations: ['57-27=30', '30/10=3']
Exploring Operation: 1+3=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,95 unequal: No Solution
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 95:[30, 9], Operations: ['57-27=30', '10-1=9']
Exploring Operation: 30+9=39, Resulting Numbers: [39]
39,95 unequal: No Solution
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Exploring Operation: 30*9=270, Resulting Numbers: [270]
270,95 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: 95:[27, 1, 67], Operations: ['10+57=67']
Exploring Operation: 27-1=26, Resulting Numbers: [67, 26]
Generated Node #0,0,0: 95:[67, 26] Operation: 27-1=26
Exploring Operation: 27+67=94, Resulting Numbers: [1, 94]
Generated Node #0,0,1: 95:[1, 94] Operation: 27+67=94
Exploring Operation: 67-27=40, Resulting Numbers: [1, 40]
Generated Node #0,0,2: 95:[1, 40] Operation: 67-27=40
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[1, 94], Operations: ['10+57=67', '27+67=94']
Exploring Operation: 1+94=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[10, 27, 1, 57], Operations: []
Exploring Operation: 10+57=67, Resulting Numbers: [27, 1, 67]
Generated Node #0,0: 95:[27, 1, 67] Operation: 10+57=67
Moving to Node #0,0
Current State: 95:[27, 1, 67], Operations: ['10+57=67']
Exploring Operation: 27+67=94, Resulting Numbers: [1, 94]
Generated Node #0,0,1: 95:[1, 94] Operation: 27+67=94
Moving to Node #0,0,1
Current State: 95:[1, 94], Operations: ['10+57=67', '27+67=94']
Exploring Operation: 1+94=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 |
hs_3
|
mult_heuristic
|
[
84,
86,
30,
39
] | 67 |
[
"86-84=2",
"30+39=69",
"69-2=67"
] |
Current State: 67:[84, 86, 30, 39], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [30, 39, 2]
Generated Node #2: [30, 39, 2] from Operation: 86-84=2
Current State: 67:[30, 39, 2], Operations: ['86-84=2']
Exploring Operation: 30+39=69, Resulting Numbers: [2, 69]
Generated Node #3: [2, 69] from Operation: 30+39=69
Current State: 67:[2, 69], Operations: ['86-84=2', '30+39=69']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
Current State: 67:[84, 86, 30, 39], Operations: []
Exploring Operation: 30+39=69, Resulting Numbers: [84, 86, 69]
Generated Node #0,0: 67:[84, 86, 69] Operation: 30+39=69
Exploring Operation: 84-30=54, Resulting Numbers: [86, 39, 54]
Generated Node #0,1: 67:[86, 39, 54] Operation: 84-30=54
Exploring Operation: 86-39=47, Resulting Numbers: [84, 30, 47]
Generated Node #0,2: 67:[84, 30, 47] Operation: 86-39=47
Exploring Operation: 86-30=56, Resulting Numbers: [84, 39, 56]
Generated Node #0,3: 67:[84, 39, 56] Operation: 86-30=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[84, 86, 69], Operations: ['30+39=69']
Exploring Operation: 86-84=2, Resulting Numbers: [69, 2]
Generated Node #0,0,0: 67:[69, 2] Operation: 86-84=2
Exploring Operation: 84-69=15, Resulting Numbers: [86, 15]
Generated Node #0,0,1: 67:[86, 15] Operation: 84-69=15
Exploring Operation: 84+86=170, Resulting Numbers: [69, 170]
Generated Node #0,0,2: 67:[69, 170] Operation: 84+86=170
Exploring Operation: 86-69=17, Resulting Numbers: [84, 17]
Generated Node #0,0,3: 67:[84, 17] Operation: 86-69=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 67:[69, 2], Operations: ['30+39=69', '86-84=2']
Exploring Operation: 69*2=138, Resulting Numbers: [138]
138,67 unequal: No Solution
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[84, 86, 30, 39], Operations: []
Exploring Operation: 30+39=69, Resulting Numbers: [84, 86, 69]
Generated Node #0,0: 67:[84, 86, 69] Operation: 30+39=69
Moving to Node #0,0
Current State: 67:[84, 86, 69], Operations: ['30+39=69']
Exploring Operation: 86-84=2, Resulting Numbers: [69, 2]
Generated Node #0,0,0: 67:[69, 2] Operation: 86-84=2
Moving to Node #0,0,0
Current State: 67:[69, 2], Operations: ['30+39=69', '86-84=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 |
hs_4
|
mult_heuristic
|
[
4,
96,
61,
13
] | 84 |
[
"61-13=48",
"48/4=12",
"96-12=84"
] |
Current State: 84:[4, 96, 61, 13], Operations: []
Exploring Operation: 61-13=48, Resulting Numbers: [4, 96, 48]
Generated Node #2: [4, 96, 48] from Operation: 61-13=48
Current State: 84:[4, 96, 48], Operations: ['61-13=48']
Exploring Operation: 48/4=12, Resulting Numbers: [96, 12]
Generated Node #3: [96, 12] from Operation: 48/4=12
Current State: 84:[96, 12], Operations: ['61-13=48', '48/4=12']
Exploring Operation: 96-12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
Current State: 84:[4, 96, 61, 13], Operations: []
Exploring Operation: 61+13=74, Resulting Numbers: [4, 96, 74]
Generated Node #0,0: 84:[4, 96, 74] Operation: 61+13=74
Exploring Operation: 61-13=48, Resulting Numbers: [4, 96, 48]
Generated Node #0,1: 84:[4, 96, 48] Operation: 61-13=48
Exploring Operation: 96-13=83, Resulting Numbers: [4, 61, 83]
Generated Node #0,2: 84:[4, 61, 83] Operation: 96-13=83
Exploring Operation: 96-61=35, Resulting Numbers: [4, 13, 35]
Generated Node #0,3: 84:[4, 13, 35] Operation: 96-61=35
Exploring Operation: 96/4=24, Resulting Numbers: [61, 13, 24]
Generated Node #0,4: 84:[61, 13, 24] Operation: 96/4=24
Moving to Node #0,3
Current State: 84:[4, 13, 35], Operations: ['96-61=35']
Exploring Operation: 4+35=39, Resulting Numbers: [13, 39]
Generated Node #0,3,0: 84:[13, 39] Operation: 4+35=39
Exploring Operation: 13-4=9, Resulting Numbers: [35, 9]
Generated Node #0,3,1: 84:[35, 9] Operation: 13-4=9
Exploring Operation: 35-4=31, Resulting Numbers: [13, 31]
Generated Node #0,3,2: 84:[13, 31] Operation: 35-4=31
Exploring Operation: 35-13=22, Resulting Numbers: [4, 22]
Generated Node #0,3,3: 84:[4, 22] Operation: 35-13=22
Exploring Operation: 13+35=48, Resulting Numbers: [4, 48]
Generated Node #0,3,4: 84:[4, 48] Operation: 13+35=48
Moving to Node #0,1
Current State: 84:[4, 96, 48], Operations: ['61-13=48']
Exploring Operation: 96-48=48, Resulting Numbers: [4, 48]
Generated Node #0,1,0: 84:[4, 48] Operation: 96-48=48
Exploring Operation: 48/4=12, Resulting Numbers: [96, 12]
Generated Node #0,1,1: 84:[96, 12] Operation: 48/4=12
Exploring Operation: 96/48=2, Resulting Numbers: [4, 2]
Generated Node #0,1,2: 84:[4, 2] Operation: 96/48=2
Exploring Operation: 96-4=92, Resulting Numbers: [48, 92]
Generated Node #0,1,3: 84:[48, 92] Operation: 96-4=92
Exploring Operation: 96/4=24, Resulting Numbers: [48, 24]
Generated Node #0,1,4: 84:[48, 24] Operation: 96/4=24
Moving to Node #0,2
Current State: 84:[4, 61, 83], Operations: ['96-13=83']
Exploring Operation: 83-4=79, Resulting Numbers: [61, 79]
Generated Node #0,2,0: 84:[61, 79] Operation: 83-4=79
Exploring Operation: 61-4=57, Resulting Numbers: [83, 57]
Generated Node #0,2,1: 84:[83, 57] Operation: 61-4=57
Exploring Operation: 83-61=22, Resulting Numbers: [4, 22]
Generated Node #0,2,2: 84:[4, 22] Operation: 83-61=22
Exploring Operation: 4+61=65, Resulting Numbers: [83, 65]
Generated Node #0,2,3: 84:[83, 65] Operation: 4+61=65
Exploring Operation: 4+83=87, Resulting Numbers: [61, 87]
Generated Node #0,2,4: 84:[61, 87] Operation: 4+83=87
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 84:[4, 22], Operations: ['96-13=83', '83-61=22']
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,84 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 84:[83, 57], Operations: ['96-13=83', '61-4=57']
Exploring Operation: 83-57=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Exploring Operation: 83+57=140, Resulting Numbers: [140]
140,84 unequal: No Solution
Exploring Operation: 83*57=4731, Resulting Numbers: [4731]
4731,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 84:[83, 65], Operations: ['96-13=83', '4+61=65']
Exploring Operation: 83-65=18, Resulting Numbers: [18]
18,84 unequal: No Solution
Exploring Operation: 83*65=5395, Resulting Numbers: [5395]
5395,84 unequal: No Solution
Exploring Operation: 83+65=148, Resulting Numbers: [148]
148,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 84:[61, 87], Operations: ['96-13=83', '4+83=87']
Exploring Operation: 61*87=5307, Resulting Numbers: [5307]
5307,84 unequal: No Solution
Exploring Operation: 61+87=148, Resulting Numbers: [148]
148,84 unequal: No Solution
Exploring Operation: 87-61=26, Resulting Numbers: [26]
26,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 84:[61, 79], Operations: ['96-13=83', '83-4=79']
Exploring Operation: 61+79=140, Resulting Numbers: [140]
140,84 unequal: No Solution
Exploring Operation: 79-61=18, Resulting Numbers: [18]
18,84 unequal: No Solution
Exploring Operation: 61*79=4819, Resulting Numbers: [4819]
4819,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 84:[4, 96, 74], Operations: ['61+13=74']
Exploring Operation: 96-74=22, Resulting Numbers: [4, 22]
Generated Node #0,0,0: 84:[4, 22] Operation: 96-74=22
Exploring Operation: 96-4=92, Resulting Numbers: [74, 92]
Generated Node #0,0,1: 84:[74, 92] Operation: 96-4=92
Exploring Operation: 96/4=24, Resulting Numbers: [74, 24]
Generated Node #0,0,2: 84:[74, 24] Operation: 96/4=24
Exploring Operation: 4+74=78, Resulting Numbers: [96, 78]
Generated Node #0,0,3: 84:[96, 78] Operation: 4+74=78
Exploring Operation: 4+96=100, Resulting Numbers: [74, 100]
Generated Node #0,0,4: 84:[74, 100] Operation: 4+96=100
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 84:[4, 22], Operations: ['61+13=74', '96-74=22']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,84 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,84 unequal: No Solution
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 84:[74, 24], Operations: ['61+13=74', '96/4=24']
Exploring Operation: 74*24=1776, Resulting Numbers: [1776]
1776,84 unequal: No Solution
Exploring Operation: 74-24=50, Resulting Numbers: [50]
50,84 unequal: No Solution
Exploring Operation: 74+24=98, Resulting Numbers: [98]
98,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 84:[74, 92], Operations: ['61+13=74', '96-4=92']
Exploring Operation: 74+92=166, Resulting Numbers: [166]
166,84 unequal: No Solution
Exploring Operation: 74*92=6808, Resulting Numbers: [6808]
6808,84 unequal: No Solution
Exploring Operation: 92-74=18, Resulting Numbers: [18]
18,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 84:[96, 78], Operations: ['61+13=74', '4+74=78']
Exploring Operation: 96*78=7488, Resulting Numbers: [7488]
7488,84 unequal: No Solution
Exploring Operation: 96+78=174, Resulting Numbers: [174]
174,84 unequal: No Solution
Exploring Operation: 96-78=18, Resulting Numbers: [18]
18,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 84:[74, 100], Operations: ['61+13=74', '4+96=100']
Exploring Operation: 100-74=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Exploring Operation: 74*100=7400, Resulting Numbers: [7400]
7400,84 unequal: No Solution
Exploring Operation: 74+100=174, Resulting Numbers: [174]
174,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 84:[61, 13, 24], Operations: ['96/4=24']
Exploring Operation: 61+13=74, Resulting Numbers: [24, 74]
Generated Node #0,4,0: 84:[24, 74] Operation: 61+13=74
Exploring Operation: 61-13=48, Resulting Numbers: [24, 48]
Generated Node #0,4,1: 84:[24, 48] Operation: 61-13=48
Exploring Operation: 24-13=11, Resulting Numbers: [61, 11]
Generated Node #0,4,2: 84:[61, 11] Operation: 24-13=11
Exploring Operation: 61-24=37, Resulting Numbers: [13, 37]
Generated Node #0,4,3: 84:[13, 37] Operation: 61-24=37
Exploring Operation: 61+24=85, Resulting Numbers: [13, 85]
Generated Node #0,4,4: 84:[13, 85] Operation: 61+24=85
Moving to Node #0,1,2
Current State: 84:[4, 2], Operations: ['61-13=48', '96/48=2']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Moving to Node #0,3,3
Current State: 84:[4, 22], Operations: ['96-61=35', '35-13=22']
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,84 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,84 unequal: No Solution
Moving to Node #0,4,4
Current State: 84:[13, 85], Operations: ['96/4=24', '61+24=85']
Exploring Operation: 85-13=72, Resulting Numbers: [72]
72,84 unequal: No Solution
Exploring Operation: 13*85=1105, Resulting Numbers: [1105]
1105,84 unequal: No Solution
Exploring Operation: 13+85=98, Resulting Numbers: [98]
98,84 unequal: No Solution
Moving to Node #0,3,2
Current State: 84:[13, 31], Operations: ['96-61=35', '35-4=31']
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,84 unequal: No Solution
Exploring Operation: 13+31=44, Resulting Numbers: [44]
44,84 unequal: No Solution
Exploring Operation: 13*31=403, Resulting Numbers: [403]
403,84 unequal: No Solution
Moving to Node #0,3,0
Current State: 84:[13, 39], Operations: ['96-61=35', '4+35=39']
Exploring Operation: 13*39=507, Resulting Numbers: [507]
507,84 unequal: No Solution
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 13+39=52, Resulting Numbers: [52]
52,84 unequal: No Solution
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[4, 48], Operations: ['61-13=48', '96-48=48']
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,84 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,84 unequal: No Solution
Exploring Operation: 4*48=192, Resulting Numbers: [192]
192,84 unequal: No Solution
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,84 unequal: No Solution
Moving to Node #0,4,3
Current State: 84:[13, 37], Operations: ['96/4=24', '61-24=37']
Exploring Operation: 13+37=50, Resulting Numbers: [50]
50,84 unequal: No Solution
Exploring Operation: 37-13=24, Resulting Numbers: [24]
24,84 unequal: No Solution
Exploring Operation: 13*37=481, Resulting Numbers: [481]
481,84 unequal: No Solution
Moving to Node #0,3,4
Current State: 84:[4, 48], Operations: ['96-61=35', '13+35=48']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,84 unequal: No Solution
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,84 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,84 unequal: No Solution
Exploring Operation: 4*48=192, Resulting Numbers: [192]
192,84 unequal: No Solution
Moving to Node #0,4,1
Current State: 84:[24, 48], Operations: ['96/4=24', '61-13=48']
Exploring Operation: 24*48=1152, Resulting Numbers: [1152]
1152,84 unequal: No Solution
Exploring Operation: 48/24=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 48-24=24, Resulting Numbers: [24]
24,84 unequal: No Solution
Exploring Operation: 24+48=72, Resulting Numbers: [72]
72,84 unequal: No Solution
Moving to Node #0,3,1
Current State: 84:[35, 9], Operations: ['96-61=35', '13-4=9']
Exploring Operation: 35*9=315, Resulting Numbers: [315]
315,84 unequal: No Solution
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Exploring Operation: 35+9=44, Resulting Numbers: [44]
44,84 unequal: No Solution
Moving to Node #0,1,4
Current State: 84:[48, 24], Operations: ['61-13=48', '96/4=24']
Exploring Operation: 48-24=24, Resulting Numbers: [24]
24,84 unequal: No Solution
Exploring Operation: 48+24=72, Resulting Numbers: [72]
72,84 unequal: No Solution
Exploring Operation: 48/24=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 48*24=1152, Resulting Numbers: [1152]
1152,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[96, 12], Operations: ['61-13=48', '48/4=12']
Exploring Operation: 96-12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[4, 96, 61, 13], Operations: []
Exploring Operation: 61-13=48, Resulting Numbers: [4, 96, 48]
Generated Node #0,1: 84:[4, 96, 48] Operation: 61-13=48
Moving to Node #0,1
Current State: 84:[4, 96, 48], Operations: ['61-13=48']
Exploring Operation: 48/4=12, Resulting Numbers: [96, 12]
Generated Node #0,1,1: 84:[96, 12] Operation: 48/4=12
Moving to Node #0,1,1
Current State: 84:[96, 12], Operations: ['61-13=48', '48/4=12']
Exploring Operation: 96-12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 0.909722 |
hs_5
|
sum_heuristic
|
[
52,
60,
50,
81
] | 19 |
[
"52+60=112",
"50+81=131",
"131-112=19"
] |
Current State: 19:[52, 60, 50, 81], Operations: []
Exploring Operation: 52+60=112, Resulting Numbers: [50, 81, 112]
Generated Node #2: [50, 81, 112] from Operation: 52+60=112
Current State: 19:[50, 81, 112], Operations: ['52+60=112']
Exploring Operation: 50+81=131, Resulting Numbers: [112, 131]
Generated Node #3: [112, 131] from Operation: 50+81=131
Current State: 19:[112, 131], Operations: ['52+60=112', '50+81=131']
Exploring Operation: 131-112=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
Current State: 19:[52, 60, 50, 81], Operations: []
Exploring Operation: 81-52=29, Resulting Numbers: [60, 50, 29]
Generated Node #0,0: 19:[60, 50, 29] Operation: 81-52=29
Exploring Operation: 81-60=21, Resulting Numbers: [52, 50, 21]
Generated Node #0,1: 19:[52, 50, 21] Operation: 81-60=21
Moving to Node #0,1
Current State: 19:[52, 50, 21], Operations: ['81-60=21']
Exploring Operation: 52-50=2, Resulting Numbers: [21, 2]
Generated Node #0,1,0: 19:[21, 2] Operation: 52-50=2
Exploring Operation: 52-21=31, Resulting Numbers: [50, 31]
Generated Node #0,1,1: 19:[50, 31] Operation: 52-21=31
Moving to Node #0,0
Current State: 19:[60, 50, 29], Operations: ['81-52=29']
Exploring Operation: 60-29=31, Resulting Numbers: [50, 31]
Generated Node #0,0,0: 19:[50, 31] Operation: 60-29=31
Exploring Operation: 60-50=10, Resulting Numbers: [29, 10]
Generated Node #0,0,1: 19:[29, 10] Operation: 60-50=10
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 19:[29, 10], Operations: ['81-52=29', '60-50=10']
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,19 unequal: No Solution
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[52, 60, 50, 81], Operations: []
Exploring Operation: 81-52=29, Resulting Numbers: [60, 50, 29]
Generated Node #0,0: 19:[60, 50, 29] Operation: 81-52=29
Moving to Node #0,0
Current State: 19:[60, 50, 29], Operations: ['81-52=29']
Exploring Operation: 60-50=10, Resulting Numbers: [29, 10]
Generated Node #0,0,1: 19:[29, 10] Operation: 60-50=10
Moving to Node #0,0,1
Current State: 19:[29, 10], Operations: ['81-52=29', '60-50=10']
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 |
hs_2
|
mult_heuristic
|
[
90,
22,
67,
27
] | 72 |
[
"90+22=112",
"67-27=40",
"112-40=72"
] |
Current State: 72:[90, 22, 67, 27], Operations: []
Exploring Operation: 90+22=112, Resulting Numbers: [67, 27, 112]
Generated Node #2: [67, 27, 112] from Operation: 90+22=112
Current State: 72:[67, 27, 112], Operations: ['90+22=112']
Exploring Operation: 67-27=40, Resulting Numbers: [112, 40]
Generated Node #3: [112, 40] from Operation: 67-27=40
Current State: 72:[112, 40], Operations: ['90+22=112', '67-27=40']
Exploring Operation: 112-40=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
Current State: 72:[90, 22, 67, 27], Operations: []
Exploring Operation: 90-67=23, Resulting Numbers: [22, 27, 23]
Generated Node #0,0: 72:[22, 27, 23] Operation: 90-67=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[22, 27, 23], Operations: ['90-67=23']
Exploring Operation: 27-22=5, Resulting Numbers: [23, 5]
Generated Node #0,0,0: 72:[23, 5] Operation: 27-22=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[23, 5], Operations: ['90-67=23', '27-22=5']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
60,
51,
12,
15
] | 99 |
[
"60*12=720",
"720/15=48",
"51+48=99"
] |
Current State: 99:[60, 51, 12, 15], Operations: []
Exploring Operation: 60*12=720, Resulting Numbers: [51, 15, 720]
Generated Node #2: [51, 15, 720] from Operation: 60*12=720
Current State: 99:[51, 15, 720], Operations: ['60*12=720']
Exploring Operation: 720/15=48, Resulting Numbers: [51, 48]
Generated Node #3: [51, 48] from Operation: 720/15=48
Current State: 99:[51, 48], Operations: ['60*12=720', '720/15=48']
Exploring Operation: 51+48=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
Current State: 99:[60, 51, 12, 15], Operations: []
Exploring Operation: 60-51=9, Resulting Numbers: [12, 15, 9]
Generated Node #0,0: 99:[12, 15, 9] Operation: 60-51=9
Exploring Operation: 60/12=5, Resulting Numbers: [51, 15, 5]
Generated Node #0,1: 99:[51, 15, 5] Operation: 60/12=5
Exploring Operation: 60+51=111, Resulting Numbers: [12, 15, 111]
Generated Node #0,2: 99:[12, 15, 111] Operation: 60+51=111
Exploring Operation: 60-15=45, Resulting Numbers: [51, 12, 45]
Generated Node #0,3: 99:[51, 12, 45] Operation: 60-15=45
Exploring Operation: 60/15=4, Resulting Numbers: [51, 12, 4]
Generated Node #0,4: 99:[51, 12, 4] Operation: 60/15=4
Moving to Node #0,0
Current State: 99:[12, 15, 9], Operations: ['60-51=9']
Exploring Operation: 15+9=24, Resulting Numbers: [12, 24]
Generated Node #0,0,0: 99:[12, 24] Operation: 15+9=24
Exploring Operation: 15-9=6, Resulting Numbers: [12, 6]
Generated Node #0,0,1: 99:[12, 6] Operation: 15-9=6
Exploring Operation: 15-12=3, Resulting Numbers: [9, 3]
Generated Node #0,0,2: 99:[9, 3] Operation: 15-12=3
Exploring Operation: 12+15=27, Resulting Numbers: [9, 27]
Generated Node #0,0,3: 99:[9, 27] Operation: 12+15=27
Exploring Operation: 12-9=3, Resulting Numbers: [15, 3]
Generated Node #0,0,4: 99:[15, 3] Operation: 12-9=3
Moving to Node #0,2
Current State: 99:[12, 15, 111], Operations: ['60+51=111']
Exploring Operation: 111-15=96, Resulting Numbers: [12, 96]
Generated Node #0,2,0: 99:[12, 96] Operation: 111-15=96
Exploring Operation: 111-12=99, Resulting Numbers: [15, 99]
Generated Node #0,2,1: 99:[15, 99] Operation: 111-12=99
Exploring Operation: 12+111=123, Resulting Numbers: [15, 123]
Generated Node #0,2,2: 99:[15, 123] Operation: 12+111=123
Exploring Operation: 12+15=27, Resulting Numbers: [111, 27]
Generated Node #0,2,3: 99:[111, 27] Operation: 12+15=27
Exploring Operation: 15-12=3, Resulting Numbers: [111, 3]
Generated Node #0,2,4: 99:[111, 3] Operation: 15-12=3
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 99:[12, 96], Operations: ['60+51=111', '111-15=96']
Exploring Operation: 96-12=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 12*96=1152, Resulting Numbers: [1152]
1152,99 unequal: No Solution
Exploring Operation: 96/12=8, Resulting Numbers: [8]
8,99 unequal: No Solution
Exploring Operation: 12+96=108, Resulting Numbers: [108]
108,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 99:[15, 99], Operations: ['60+51=111', '111-12=99']
Exploring Operation: 99-15=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 15*99=1485, Resulting Numbers: [1485]
1485,99 unequal: No Solution
Exploring Operation: 15+99=114, Resulting Numbers: [114]
114,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 99:[111, 3], Operations: ['60+51=111', '15-12=3']
Exploring Operation: 111/3=37, Resulting Numbers: [37]
37,99 unequal: No Solution
Exploring Operation: 111+3=114, Resulting Numbers: [114]
114,99 unequal: No Solution
Exploring Operation: 111-3=108, Resulting Numbers: [108]
108,99 unequal: No Solution
Exploring Operation: 111*3=333, Resulting Numbers: [333]
333,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 99:[111, 27], Operations: ['60+51=111', '12+15=27']
Exploring Operation: 111-27=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 111*27=2997, Resulting Numbers: [2997]
2997,99 unequal: No Solution
Exploring Operation: 111+27=138, Resulting Numbers: [138]
138,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 99:[15, 123], Operations: ['60+51=111', '12+111=123']
Exploring Operation: 15+123=138, Resulting Numbers: [138]
138,99 unequal: No Solution
Exploring Operation: 15*123=1845, Resulting Numbers: [1845]
1845,99 unequal: No Solution
Exploring Operation: 123-15=108, Resulting Numbers: [108]
108,99 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: 99:[51, 12, 4], Operations: ['60/15=4']
Exploring Operation: 12/4=3, Resulting Numbers: [51, 3]
Generated Node #0,4,0: 99:[51, 3] Operation: 12/4=3
Exploring Operation: 51+4=55, Resulting Numbers: [12, 55]
Generated Node #0,4,1: 99:[12, 55] Operation: 51+4=55
Exploring Operation: 12-4=8, Resulting Numbers: [51, 8]
Generated Node #0,4,2: 99:[51, 8] Operation: 12-4=8
Exploring Operation: 51-4=47, Resulting Numbers: [12, 47]
Generated Node #0,4,3: 99:[12, 47] Operation: 51-4=47
Exploring Operation: 51-12=39, Resulting Numbers: [4, 39]
Generated Node #0,4,4: 99:[4, 39] Operation: 51-12=39
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 99:[4, 39], Operations: ['60/15=4', '51-12=39']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,99 unequal: No Solution
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,99 unequal: No Solution
Exploring Operation: 4*39=156, Resulting Numbers: [156]
156,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 99:[12, 47], Operations: ['60/15=4', '51-4=47']
Exploring Operation: 47-12=35, Resulting Numbers: [35]
35,99 unequal: No Solution
Exploring Operation: 12+47=59, Resulting Numbers: [59]
59,99 unequal: No Solution
Exploring Operation: 12*47=564, Resulting Numbers: [564]
564,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 99:[51, 3], Operations: ['60/15=4', '12/4=3']
Exploring Operation: 51+3=54, Resulting Numbers: [54]
54,99 unequal: No Solution
Exploring Operation: 51*3=153, Resulting Numbers: [153]
153,99 unequal: No Solution
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,99 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 99:[51, 8], Operations: ['60/15=4', '12-4=8']
Exploring Operation: 51+8=59, Resulting Numbers: [59]
59,99 unequal: No Solution
Exploring Operation: 51*8=408, Resulting Numbers: [408]
408,99 unequal: No Solution
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 99:[12, 55], Operations: ['60/15=4', '51+4=55']
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,99 unequal: No Solution
Exploring Operation: 12*55=660, Resulting Numbers: [660]
660,99 unequal: No Solution
Exploring Operation: 12+55=67, Resulting Numbers: [67]
67,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 99:[51, 15, 5], Operations: ['60/12=5']
Exploring Operation: 51-15=36, Resulting Numbers: [5, 36]
Generated Node #0,1,0: 99:[5, 36] Operation: 51-15=36
Exploring Operation: 51-5=46, Resulting Numbers: [15, 46]
Generated Node #0,1,1: 99:[15, 46] Operation: 51-5=46
Exploring Operation: 15/5=3, Resulting Numbers: [51, 3]
Generated Node #0,1,2: 99:[51, 3] Operation: 15/5=3
Exploring Operation: 15-5=10, Resulting Numbers: [51, 10]
Generated Node #0,1,3: 99:[51, 10] Operation: 15-5=10
Exploring Operation: 51+5=56, Resulting Numbers: [15, 56]
Generated Node #0,1,4: 99:[15, 56] Operation: 51+5=56
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 99:[5, 36], Operations: ['60/12=5', '51-15=36']
Exploring Operation: 5*36=180, Resulting Numbers: [180]
180,99 unequal: No Solution
Exploring Operation: 5+36=41, Resulting Numbers: [41]
41,99 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 99:[15, 46], Operations: ['60/12=5', '51-5=46']
Exploring Operation: 46-15=31, Resulting Numbers: [31]
31,99 unequal: No Solution
Exploring Operation: 15+46=61, Resulting Numbers: [61]
61,99 unequal: No Solution
Exploring Operation: 15*46=690, Resulting Numbers: [690]
690,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 99:[51, 3], Operations: ['60/12=5', '15/5=3']
Exploring Operation: 51+3=54, Resulting Numbers: [54]
54,99 unequal: No Solution
Exploring Operation: 51-3=48, Resulting Numbers: [48]
48,99 unequal: No Solution
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,99 unequal: No Solution
Exploring Operation: 51*3=153, Resulting Numbers: [153]
153,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 99:[51, 10], Operations: ['60/12=5', '15-5=10']
Exploring Operation: 51+10=61, Resulting Numbers: [61]
61,99 unequal: No Solution
Exploring Operation: 51-10=41, Resulting Numbers: [41]
41,99 unequal: No Solution
Exploring Operation: 51*10=510, Resulting Numbers: [510]
510,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 99:[15, 56], Operations: ['60/12=5', '51+5=56']
Exploring Operation: 15+56=71, Resulting Numbers: [71]
71,99 unequal: No Solution
Exploring Operation: 56-15=41, Resulting Numbers: [41]
41,99 unequal: No Solution
Exploring Operation: 15*56=840, Resulting Numbers: [840]
840,99 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: 99:[51, 12, 45], Operations: ['60-15=45']
Exploring Operation: 51-45=6, Resulting Numbers: [12, 6]
Generated Node #0,3,0: 99:[12, 6] Operation: 51-45=6
Exploring Operation: 45-12=33, Resulting Numbers: [51, 33]
Generated Node #0,3,1: 99:[51, 33] Operation: 45-12=33
Exploring Operation: 51+45=96, Resulting Numbers: [12, 96]
Generated Node #0,3,2: 99:[12, 96] Operation: 51+45=96
Exploring Operation: 51+12=63, Resulting Numbers: [45, 63]
Generated Node #0,3,3: 99:[45, 63] Operation: 51+12=63
Exploring Operation: 51-12=39, Resulting Numbers: [45, 39]
Generated Node #0,3,4: 99:[45, 39] Operation: 51-12=39
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 99:[12, 6], Operations: ['60-15=45', '51-45=6']
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,99 unequal: No Solution
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,99 unequal: No Solution
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 99:[12, 96], Operations: ['60-15=45', '51+45=96']
Exploring Operation: 96/12=8, Resulting Numbers: [8]
8,99 unequal: No Solution
Exploring Operation: 12*96=1152, Resulting Numbers: [1152]
1152,99 unequal: No Solution
Exploring Operation: 12+96=108, Resulting Numbers: [108]
108,99 unequal: No Solution
Exploring Operation: 96-12=84, Resulting Numbers: [84]
84,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 99:[51, 33], Operations: ['60-15=45', '45-12=33']
Exploring Operation: 51*33=1683, Resulting Numbers: [1683]
1683,99 unequal: No Solution
Exploring Operation: 51+33=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 51-33=18, Resulting Numbers: [18]
18,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 99:[45, 39], Operations: ['60-15=45', '51-12=39']
Exploring Operation: 45-39=6, Resulting Numbers: [6]
6,99 unequal: No Solution
Exploring Operation: 45*39=1755, Resulting Numbers: [1755]
1755,99 unequal: No Solution
Exploring Operation: 45+39=84, Resulting Numbers: [84]
84,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 99:[45, 63], Operations: ['60-15=45', '51+12=63']
Exploring Operation: 45*63=2835, Resulting Numbers: [2835]
2835,99 unequal: No Solution
Exploring Operation: 45+63=108, Resulting Numbers: [108]
108,99 unequal: No Solution
Exploring Operation: 63-45=18, Resulting Numbers: [18]
18,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 99:[9, 3], Operations: ['60-51=9', '15-12=3']
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,99 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,99 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,99 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,99 unequal: No Solution
Moving to Node #0,0,4
Current State: 99:[15, 3], Operations: ['60-51=9', '12-9=3']
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,99 unequal: No Solution
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,99 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,99 unequal: No Solution
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,99 unequal: No Solution
Moving to Node #0,0,1
Current State: 99:[12, 6], Operations: ['60-51=9', '15-9=6']
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,99 unequal: No Solution
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,99 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,99 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Moving to Node #0,0,3
Current State: 99:[9, 27], Operations: ['60-51=9', '12+15=27']
Exploring Operation: 9*27=243, Resulting Numbers: [243]
243,99 unequal: No Solution
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,99 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,99 unequal: No Solution
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,99 unequal: No Solution
Moving to Node #0,0,0
Current State: 99:[12, 24], Operations: ['60-51=9', '15+9=24']
Exploring Operation: 12*24=288, Resulting Numbers: [288]
288,99 unequal: No Solution
Exploring Operation: 12+24=36, Resulting Numbers: [36]
36,99 unequal: No Solution
Exploring Operation: 24/12=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,99 unequal: No Solution
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
4,
36,
56,
18
] | 65 |
[
"36/4=9",
"56+18=74",
"74-9=65"
] |
Current State: 65:[4, 36, 56, 18], Operations: []
Exploring Operation: 36/4=9, Resulting Numbers: [56, 18, 9]
Generated Node #2: [56, 18, 9] from Operation: 36/4=9
Current State: 65:[56, 18, 9], Operations: ['36/4=9']
Exploring Operation: 56+18=74, Resulting Numbers: [9, 74]
Generated Node #3: [9, 74] from Operation: 56+18=74
Current State: 65:[9, 74], Operations: ['36/4=9', '56+18=74']
Exploring Operation: 74-9=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
Current State: 65:[4, 36, 56, 18], Operations: []
Exploring Operation: 56-36=20, Resulting Numbers: [4, 18, 20]
Generated Node #0,0: 65:[4, 18, 20] Operation: 56-36=20
Moving to Node #0,0
Current State: 65:[4, 18, 20], Operations: ['56-36=20']
Exploring Operation: 20-18=2, Resulting Numbers: [4, 2]
Generated Node #0,0,0: 65:[4, 2] Operation: 20-18=2
Moving to Node #0,0,0
Current State: 65:[4, 2], Operations: ['56-36=20', '20-18=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,65 unequal: No Solution
No solution found.
| 0 |
hs_1
|
mult_heuristic
|
[
54,
19,
27,
5
] | 68 |
[
"54-27=27",
"19*5=95",
"95-27=68"
] |
Current State: 68:[54, 19, 27, 5], Operations: []
Exploring Operation: 54-27=27, Resulting Numbers: [19, 5, 27]
Generated Node #2: [19, 5, 27] from Operation: 54-27=27
Current State: 68:[19, 5, 27], Operations: ['54-27=27']
Exploring Operation: 19*5=95, Resulting Numbers: [27, 95]
Generated Node #3: [27, 95] from Operation: 19*5=95
Current State: 68:[27, 95], Operations: ['54-27=27', '19*5=95']
Exploring Operation: 95-27=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
Current State: 68:[54, 19, 27, 5], Operations: []
Exploring Operation: 54-19=35, Resulting Numbers: [27, 5, 35]
Generated Node #0,0: 68:[27, 5, 35] Operation: 54-19=35
Exploring Operation: 54/27=2, Resulting Numbers: [19, 5, 2]
Generated Node #0,1: 68:[19, 5, 2] Operation: 54/27=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[19, 5, 2], Operations: ['54/27=2']
Exploring Operation: 19-5=14, Resulting Numbers: [2, 14]
Generated Node #0,1,0: 68:[2, 14] Operation: 19-5=14
Exploring Operation: 19-2=17, Resulting Numbers: [5, 17]
Generated Node #0,1,1: 68:[5, 17] Operation: 19-2=17
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 68:[5, 17], Operations: ['54/27=2', '19-2=17']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,68 unequal: No Solution
Exploring Operation: 5+17=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:[2, 14], Operations: ['54/27=2', '19-5=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,68 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,68 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:[27, 5, 35], Operations: ['54-19=35']
Exploring Operation: 35-27=8, Resulting Numbers: [5, 8]
Generated Node #0,0,0: 68:[5, 8] Operation: 35-27=8
Exploring Operation: 27+5=32, Resulting Numbers: [35, 32]
Generated Node #0,0,1: 68:[35, 32] Operation: 27+5=32
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 68:[35, 32], Operations: ['54-19=35', '27+5=32']
Exploring Operation: 35+32=67, Resulting Numbers: [67]
67,68 unequal: No Solution
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 68:[5, 8], Operations: ['54-19=35', '35-27=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,68 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,68 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
No solution found.
| 0 |
hs_2
|
mult_heuristic
|
[
90,
2,
83,
43
] | 52 |
[
"90+2=92",
"83-43=40",
"92-40=52"
] |
Current State: 52:[90, 2, 83, 43], Operations: []
Exploring Operation: 90+2=92, Resulting Numbers: [83, 43, 92]
Generated Node #2: [83, 43, 92] from Operation: 90+2=92
Current State: 52:[83, 43, 92], Operations: ['90+2=92']
Exploring Operation: 83-43=40, Resulting Numbers: [92, 40]
Generated Node #3: [92, 40] from Operation: 83-43=40
Current State: 52:[92, 40], Operations: ['90+2=92', '83-43=40']
Exploring Operation: 92-40=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
Current State: 52:[90, 2, 83, 43], Operations: []
Exploring Operation: 83-43=40, Resulting Numbers: [90, 2, 40]
Generated Node #0,0: 52:[90, 2, 40] Operation: 83-43=40
Exploring Operation: 90/2=45, Resulting Numbers: [83, 43, 45]
Generated Node #0,1: 52:[83, 43, 45] Operation: 90/2=45
Exploring Operation: 90-43=47, Resulting Numbers: [2, 83, 47]
Generated Node #0,2: 52:[2, 83, 47] Operation: 90-43=47
Exploring Operation: 90-83=7, Resulting Numbers: [2, 43, 7]
Generated Node #0,3: 52:[2, 43, 7] Operation: 90-83=7
Start Sub Search at level 1: Moving to Node #0,3
Current State: 52:[2, 43, 7], Operations: ['90-83=7']
Exploring Operation: 7-2=5, Resulting Numbers: [43, 5]
Generated Node #0,3,0: 52:[43, 5] Operation: 7-2=5
Exploring Operation: 2+43=45, Resulting Numbers: [7, 45]
Generated Node #0,3,1: 52:[7, 45] Operation: 2+43=45
Exploring Operation: 2*7=14, Resulting Numbers: [43, 14]
Generated Node #0,3,2: 52:[43, 14] Operation: 2*7=14
Exploring Operation: 43+7=50, Resulting Numbers: [2, 50]
Generated Node #0,3,3: 52:[2, 50] Operation: 43+7=50
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 52:[2, 50], Operations: ['90-83=7', '43+7=50']
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[90, 2, 83, 43], Operations: []
Exploring Operation: 90-83=7, Resulting Numbers: [2, 43, 7]
Generated Node #0,3: 52:[2, 43, 7] Operation: 90-83=7
Moving to Node #0,3
Current State: 52:[2, 43, 7], Operations: ['90-83=7']
Exploring Operation: 43+7=50, Resulting Numbers: [2, 50]
Generated Node #0,3,3: 52:[2, 50] Operation: 43+7=50
Moving to Node #0,3,3
Current State: 52:[2, 50], Operations: ['90-83=7', '43+7=50']
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 |
hs_4
|
sum_heuristic
|
[
96,
61,
47,
70
] | 40 |
[
"96+61=157",
"47+70=117",
"157-117=40"
] |
Current State: 40:[96, 61, 47, 70], Operations: []
Exploring Operation: 96+61=157, Resulting Numbers: [47, 70, 157]
Generated Node #2: [47, 70, 157] from Operation: 96+61=157
Current State: 40:[47, 70, 157], Operations: ['96+61=157']
Exploring Operation: 47+70=117, Resulting Numbers: [157, 117]
Generated Node #3: [157, 117] from Operation: 47+70=117
Current State: 40:[157, 117], Operations: ['96+61=157', '47+70=117']
Exploring Operation: 157-117=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
Current State: 40:[96, 61, 47, 70], Operations: []
Exploring Operation: 96-70=26, Resulting Numbers: [61, 47, 26]
Generated Node #0,0: 40:[61, 47, 26] Operation: 96-70=26
Moving to Node #0,0
Current State: 40:[61, 47, 26], Operations: ['96-70=26']
Exploring Operation: 61-47=14, Resulting Numbers: [26, 14]
Generated Node #0,0,0: 40:[26, 14] Operation: 61-47=14
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 40:[26, 14], Operations: ['96-70=26', '61-47=14']
Exploring Operation: 26+14=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[96, 61, 47, 70], Operations: []
Exploring Operation: 96-70=26, Resulting Numbers: [61, 47, 26]
Generated Node #0,0: 40:[61, 47, 26] Operation: 96-70=26
Moving to Node #0,0
Current State: 40:[61, 47, 26], Operations: ['96-70=26']
Exploring Operation: 61-47=14, Resulting Numbers: [26, 14]
Generated Node #0,0,0: 40:[26, 14] Operation: 61-47=14
Moving to Node #0,0,0
Current State: 40:[26, 14], Operations: ['96-70=26', '61-47=14']
Exploring Operation: 26+14=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
mult_heuristic
|
[
79,
9,
42,
28
] | 74 |
[
"79+9=88",
"42-28=14",
"88-14=74"
] |
Current State: 74:[79, 9, 42, 28], Operations: []
Exploring Operation: 79+9=88, Resulting Numbers: [42, 28, 88]
Generated Node #2: [42, 28, 88] from Operation: 79+9=88
Current State: 74:[42, 28, 88], Operations: ['79+9=88']
Exploring Operation: 42-28=14, Resulting Numbers: [88, 14]
Generated Node #3: [88, 14] from Operation: 42-28=14
Current State: 74:[88, 14], Operations: ['79+9=88', '42-28=14']
Exploring Operation: 88-14=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
Current State: 74:[79, 9, 42, 28], Operations: []
Exploring Operation: 9+28=37, Resulting Numbers: [79, 42, 37]
Generated Node #0,0: 74:[79, 42, 37] Operation: 9+28=37
Moving to Node #0,0
Current State: 74:[79, 42, 37], Operations: ['9+28=37']
Exploring Operation: 79-42=37, Resulting Numbers: [37, 37]
Generated Node #0,0,0: 74:[37, 37] Operation: 79-42=37
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[37, 37], Operations: ['9+28=37', '79-42=37']
Exploring Operation: 37+37=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[79, 9, 42, 28], Operations: []
Exploring Operation: 9+28=37, Resulting Numbers: [79, 42, 37]
Generated Node #0,0: 74:[79, 42, 37] Operation: 9+28=37
Moving to Node #0,0
Current State: 74:[79, 42, 37], Operations: ['9+28=37']
Exploring Operation: 79-42=37, Resulting Numbers: [37, 37]
Generated Node #0,0,0: 74:[37, 37] Operation: 79-42=37
Moving to Node #0,0,0
Current State: 74:[37, 37], Operations: ['9+28=37', '79-42=37']
Exploring Operation: 37+37=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 |
hs_1
|
sum_heuristic
|
[
5,
16,
22,
27
] | 16 |
[
"5+16=21",
"27-22=5",
"21-5=16"
] |
Current State: 16:[5, 16, 22, 27], Operations: []
Exploring Operation: 5+16=21, Resulting Numbers: [22, 27, 21]
Generated Node #2: [22, 27, 21] from Operation: 5+16=21
Current State: 16:[22, 27, 21], Operations: ['5+16=21']
Exploring Operation: 27-22=5, Resulting Numbers: [21, 5]
Generated Node #3: [21, 5] from Operation: 27-22=5
Current State: 16:[21, 5], Operations: ['5+16=21', '27-22=5']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
Current State: 16:[5, 16, 22, 27], Operations: []
Exploring Operation: 22-5=17, Resulting Numbers: [16, 27, 17]
Generated Node #0,0: 16:[16, 27, 17] Operation: 22-5=17
Exploring Operation: 22-16=6, Resulting Numbers: [5, 27, 6]
Generated Node #0,1: 16:[5, 27, 6] Operation: 22-16=6
Exploring Operation: 27-22=5, Resulting Numbers: [5, 16, 5]
Generated Node #0,2: 16:[5, 16, 5] Operation: 27-22=5
Exploring Operation: 27-5=22, Resulting Numbers: [16, 22, 22]
Generated Node #0,3: 16:[16, 22, 22] Operation: 27-5=22
Exploring Operation: 27-16=11, Resulting Numbers: [5, 22, 11]
Generated Node #0,4: 16:[5, 22, 11] Operation: 27-16=11
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[5, 16, 5], Operations: ['27-22=5']
Exploring Operation: 5/5=1, Resulting Numbers: [16, 1]
Generated Node #0,2,0: 16:[16, 1] Operation: 5/5=1
Exploring Operation: 5+5=10, Resulting Numbers: [16, 10]
Generated Node #0,2,1: 16:[16, 10] Operation: 5+5=10
Exploring Operation: 16-5=11, Resulting Numbers: [5, 11]
Generated Node #0,2,2: 16:[5, 11] Operation: 16-5=11
Exploring Operation: 16-5=11, Resulting Numbers: [5, 11]
Generated Node #0,2,3: 16:[5, 11] Operation: 16-5=11
Exploring Operation: 5-5=0, Resulting Numbers: [16, 0]
Generated Node #0,2,4: 16:[16, 0] Operation: 5-5=0
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 16:[16, 1], Operations: ['27-22=5', '5/5=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[5, 16, 22, 27], Operations: []
Exploring Operation: 27-22=5, Resulting Numbers: [5, 16, 5]
Generated Node #0,2: 16:[5, 16, 5] Operation: 27-22=5
Moving to Node #0,2
Current State: 16:[5, 16, 5], Operations: ['27-22=5']
Exploring Operation: 5/5=1, Resulting Numbers: [16, 1]
Generated Node #0,2,0: 16:[16, 1] Operation: 5/5=1
Moving to Node #0,2,0
Current State: 16:[16, 1], Operations: ['27-22=5', '5/5=1']
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 |
hs_5
|
mult_heuristic
|
[
10,
5,
61,
37
] | 19 |
[
"10-5=5",
"61-37=24",
"24-5=19"
] |
Current State: 19:[10, 5, 61, 37], Operations: []
Exploring Operation: 10-5=5, Resulting Numbers: [61, 37, 5]
Generated Node #2: [61, 37, 5] from Operation: 10-5=5
Current State: 19:[61, 37, 5], Operations: ['10-5=5']
Exploring Operation: 61-37=24, Resulting Numbers: [5, 24]
Generated Node #3: [5, 24] from Operation: 61-37=24
Current State: 19:[5, 24], Operations: ['10-5=5', '61-37=24']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
Current State: 19:[10, 5, 61, 37], Operations: []
Exploring Operation: 61-37=24, Resulting Numbers: [10, 5, 24]
Generated Node #0,0: 19:[10, 5, 24] Operation: 61-37=24
Exploring Operation: 10+5=15, Resulting Numbers: [61, 37, 15]
Generated Node #0,1: 19:[61, 37, 15] Operation: 10+5=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[10, 5, 24], Operations: ['61-37=24']
Exploring Operation: 10+5=15, Resulting Numbers: [24, 15]
Generated Node #0,0,0: 19:[24, 15] Operation: 10+5=15
Exploring Operation: 24-5=19, Resulting Numbers: [10, 19]
Generated Node #0,0,1: 19:[10, 19] Operation: 24-5=19
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[24, 15], Operations: ['61-37=24', '10+5=15']
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Exploring Operation: 24+15=39, Resulting Numbers: [39]
39,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 19:[10, 19], Operations: ['61-37=24', '24-5=19']
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Exploring Operation: 10+19=29, Resulting Numbers: [29]
29,19 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:[61, 37, 15], Operations: ['10+5=15']
Exploring Operation: 61-15=46, Resulting Numbers: [37, 46]
Generated Node #0,1,0: 19:[37, 46] Operation: 61-15=46
Exploring Operation: 61-37=24, Resulting Numbers: [15, 24]
Generated Node #0,1,1: 19:[15, 24] Operation: 61-37=24
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 19:[15, 24], Operations: ['10+5=15', '61-37=24']
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,19 unequal: No Solution
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,19 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:[37, 46], Operations: ['10+5=15', '61-15=46']
Exploring Operation: 37+46=83, Resulting Numbers: [83]
83,19 unequal: No Solution
Exploring Operation: 46-37=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
|
mult_heuristic
|
[
14,
77,
26,
3
] | 68 |
[
"14+77=91",
"26-3=23",
"91-23=68"
] |
Current State: 68:[14, 77, 26, 3], Operations: []
Exploring Operation: 14+77=91, Resulting Numbers: [26, 3, 91]
Generated Node #2: [26, 3, 91] from Operation: 14+77=91
Current State: 68:[26, 3, 91], Operations: ['14+77=91']
Exploring Operation: 26-3=23, Resulting Numbers: [91, 23]
Generated Node #3: [91, 23] from Operation: 26-3=23
Current State: 68:[91, 23], Operations: ['14+77=91', '26-3=23']
Exploring Operation: 91-23=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
Current State: 68:[14, 77, 26, 3], Operations: []
Exploring Operation: 77-14=63, Resulting Numbers: [26, 3, 63]
Generated Node #0,0: 68:[26, 3, 63] Operation: 77-14=63
Exploring Operation: 14+26=40, Resulting Numbers: [77, 3, 40]
Generated Node #0,1: 68:[77, 3, 40] Operation: 14+26=40
Exploring Operation: 26-14=12, Resulting Numbers: [77, 3, 12]
Generated Node #0,2: 68:[77, 3, 12] Operation: 26-14=12
Exploring Operation: 77-3=74, Resulting Numbers: [14, 26, 74]
Generated Node #0,3: 68:[14, 26, 74] Operation: 77-3=74
Exploring Operation: 14+3=17, Resulting Numbers: [77, 26, 17]
Generated Node #0,4: 68:[77, 26, 17] Operation: 14+3=17
Moving to Node #0,0
Current State: 68:[26, 3, 63], Operations: ['77-14=63']
Exploring Operation: 26+3=29, Resulting Numbers: [63, 29]
Generated Node #0,0,0: 68:[63, 29] Operation: 26+3=29
Exploring Operation: 63/3=21, Resulting Numbers: [26, 21]
Generated Node #0,0,1: 68:[26, 21] Operation: 63/3=21
Exploring Operation: 63-26=37, Resulting Numbers: [3, 37]
Generated Node #0,0,2: 68:[3, 37] Operation: 63-26=37
Exploring Operation: 26-3=23, Resulting Numbers: [63, 23]
Generated Node #0,0,3: 68:[63, 23] Operation: 26-3=23
Exploring Operation: 3+63=66, Resulting Numbers: [26, 66]
Generated Node #0,0,4: 68:[26, 66] Operation: 3+63=66
Moving to Node #0,2
Current State: 68:[77, 3, 12], Operations: ['26-14=12']
Exploring Operation: 77-3=74, Resulting Numbers: [12, 74]
Generated Node #0,2,0: 68:[12, 74] Operation: 77-3=74
Exploring Operation: 3+12=15, Resulting Numbers: [77, 15]
Generated Node #0,2,1: 68:[77, 15] Operation: 3+12=15
Exploring Operation: 12/3=4, Resulting Numbers: [77, 4]
Generated Node #0,2,2: 68:[77, 4] Operation: 12/3=4
Exploring Operation: 3*12=36, Resulting Numbers: [77, 36]
Generated Node #0,2,3: 68:[77, 36] Operation: 3*12=36
Exploring Operation: 77-12=65, Resulting Numbers: [3, 65]
Generated Node #0,2,4: 68:[3, 65] Operation: 77-12=65
Moving to Node #0,1
Current State: 68:[77, 3, 40], Operations: ['14+26=40']
Exploring Operation: 77-3=74, Resulting Numbers: [40, 74]
Generated Node #0,1,0: 68:[40, 74] Operation: 77-3=74
Exploring Operation: 77+3=80, Resulting Numbers: [40, 80]
Generated Node #0,1,1: 68:[40, 80] Operation: 77+3=80
Exploring Operation: 3+40=43, Resulting Numbers: [77, 43]
Generated Node #0,1,2: 68:[77, 43] Operation: 3+40=43
Exploring Operation: 40-3=37, Resulting Numbers: [77, 37]
Generated Node #0,1,3: 68:[77, 37] Operation: 40-3=37
Exploring Operation: 77-40=37, Resulting Numbers: [3, 37]
Generated Node #0,1,4: 68:[3, 37] Operation: 77-40=37
Moving to Node #0,3
Current State: 68:[14, 26, 74], Operations: ['77-3=74']
Exploring Operation: 14+74=88, Resulting Numbers: [26, 88]
Generated Node #0,3,0: 68:[26, 88] Operation: 14+74=88
Exploring Operation: 14+26=40, Resulting Numbers: [74, 40]
Generated Node #0,3,1: 68:[74, 40] Operation: 14+26=40
Exploring Operation: 26-14=12, Resulting Numbers: [74, 12]
Generated Node #0,3,2: 68:[74, 12] Operation: 26-14=12
Exploring Operation: 74-26=48, Resulting Numbers: [14, 48]
Generated Node #0,3,3: 68:[14, 48] Operation: 74-26=48
Exploring Operation: 74-14=60, Resulting Numbers: [26, 60]
Generated Node #0,3,4: 68:[26, 60] Operation: 74-14=60
Moving to Node #0,4
Current State: 68:[77, 26, 17], Operations: ['14+3=17']
Exploring Operation: 77-26=51, Resulting Numbers: [17, 51]
Generated Node #0,4,0: 68:[17, 51] Operation: 77-26=51
Exploring Operation: 26+17=43, Resulting Numbers: [77, 43]
Generated Node #0,4,1: 68:[77, 43] Operation: 26+17=43
Exploring Operation: 26-17=9, Resulting Numbers: [77, 9]
Generated Node #0,4,2: 68:[77, 9] Operation: 26-17=9
Exploring Operation: 77-17=60, Resulting Numbers: [26, 60]
Generated Node #0,4,3: 68:[26, 60] Operation: 77-17=60
Exploring Operation: 77+17=94, Resulting Numbers: [26, 94]
Generated Node #0,4,4: 68:[26, 94] Operation: 77+17=94
Moving to Node #0,0,2
Current State: 68:[3, 37], Operations: ['77-14=63', '63-26=37']
Exploring Operation: 3*37=111, Resulting Numbers: [111]
111,68 unequal: No Solution
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,68 unequal: No Solution
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,68 unequal: No Solution
Moving to Node #0,2,4
Current State: 68:[3, 65], Operations: ['26-14=12', '77-12=65']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Exploring Operation: 3+65=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[14, 77, 26, 3], Operations: []
Exploring Operation: 26-14=12, Resulting Numbers: [77, 3, 12]
Generated Node #0,2: 68:[77, 3, 12] Operation: 26-14=12
Moving to Node #0,2
Current State: 68:[77, 3, 12], Operations: ['26-14=12']
Exploring Operation: 77-12=65, Resulting Numbers: [3, 65]
Generated Node #0,2,4: 68:[3, 65] Operation: 77-12=65
Moving to Node #0,2,4
Current State: 68:[3, 65], Operations: ['26-14=12', '77-12=65']
Exploring Operation: 3+65=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 0.966146 |
hs_5
|
sum_heuristic
|
[
11,
6,
2,
48
] | 97 |
[
"6+48=54",
"2*54=108",
"108-11=97"
] |
Current State: 97:[11, 6, 2, 48], Operations: []
Exploring Operation: 6+48=54, Resulting Numbers: [11, 2, 54]
Generated Node #2: [11, 2, 54] from Operation: 6+48=54
Current State: 97:[11, 2, 54], Operations: ['6+48=54']
Exploring Operation: 2*54=108, Resulting Numbers: [11, 108]
Generated Node #3: [11, 108] from Operation: 2*54=108
Current State: 97:[11, 108], Operations: ['6+48=54', '2*54=108']
Exploring Operation: 108-11=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
Current State: 97:[11, 6, 2, 48], Operations: []
Exploring Operation: 2*48=96, Resulting Numbers: [11, 6, 96]
Generated Node #0,0: 97:[11, 6, 96] Operation: 2*48=96
Exploring Operation: 11*2=22, Resulting Numbers: [6, 48, 22]
Generated Node #0,1: 97:[6, 48, 22] Operation: 11*2=22
Exploring Operation: 11*6=66, Resulting Numbers: [2, 48, 66]
Generated Node #0,2: 97:[2, 48, 66] Operation: 11*6=66
Start Sub Search at level 1: Moving to Node #0,2
Current State: 97:[2, 48, 66], Operations: ['11*6=66']
Exploring Operation: 2+48=50, Resulting Numbers: [66, 50]
Generated Node #0,2,0: 97:[66, 50] Operation: 2+48=50
Exploring Operation: 2*48=96, Resulting Numbers: [66, 96]
Generated Node #0,2,1: 97:[66, 96] Operation: 2*48=96
Exploring Operation: 2+66=68, Resulting Numbers: [48, 68]
Generated Node #0,2,2: 97:[48, 68] Operation: 2+66=68
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 97:[66, 96], Operations: ['11*6=66', '2*48=96']
Exploring Operation: 96-66=30, Resulting Numbers: [30]
30,97 unequal: No Solution
Exploring Operation: 66+96=162, Resulting Numbers: [162]
162,97 unequal: No Solution
Exploring Operation: 66*96=6336, Resulting Numbers: [6336]
6336,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 97:[66, 50], Operations: ['11*6=66', '2+48=50']
Exploring Operation: 66*50=3300, Resulting Numbers: [3300]
3300,97 unequal: No Solution
Exploring Operation: 66+50=116, Resulting Numbers: [116]
116,97 unequal: No Solution
Exploring Operation: 66-50=16, Resulting Numbers: [16]
16,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 97:[48, 68], Operations: ['11*6=66', '2+66=68']
Exploring Operation: 48+68=116, Resulting Numbers: [116]
116,97 unequal: No Solution
Exploring Operation: 48*68=3264, Resulting Numbers: [3264]
3264,97 unequal: No Solution
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[11, 6, 96], Operations: ['2*48=96']
Exploring Operation: 6+96=102, Resulting Numbers: [11, 102]
Generated Node #0,0,0: 97:[11, 102] Operation: 6+96=102
Exploring Operation: 11*6=66, Resulting Numbers: [96, 66]
Generated Node #0,0,1: 97:[96, 66] Operation: 11*6=66
Exploring Operation: 11+6=17, Resulting Numbers: [96, 17]
Generated Node #0,0,2: 97:[96, 17] Operation: 11+6=17
Moving to Node #0,0,1
Current State: 97:[96, 66], Operations: ['2*48=96', '11*6=66']
Exploring Operation: 96-66=30, Resulting Numbers: [30]
30,97 unequal: No Solution
Exploring Operation: 96*66=6336, Resulting Numbers: [6336]
6336,97 unequal: No Solution
Exploring Operation: 96+66=162, Resulting Numbers: [162]
162,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[96, 17], Operations: ['2*48=96', '11+6=17']
Exploring Operation: 96*17=1632, Resulting Numbers: [1632]
1632,97 unequal: No Solution
Exploring Operation: 96+17=113, Resulting Numbers: [113]
113,97 unequal: No Solution
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[11, 102], Operations: ['2*48=96', '6+96=102']
Exploring Operation: 102-11=91, Resulting Numbers: [91]
91,97 unequal: No Solution
Exploring Operation: 11+102=113, Resulting Numbers: [113]
113,97 unequal: No Solution
Exploring Operation: 11*102=1122, Resulting Numbers: [1122]
1122,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[6, 48, 22], Operations: ['11*2=22']
Exploring Operation: 6*22=132, Resulting Numbers: [48, 132]
Generated Node #0,1,0: 97:[48, 132] Operation: 6*22=132
Exploring Operation: 6+22=28, Resulting Numbers: [48, 28]
Generated Node #0,1,1: 97:[48, 28] Operation: 6+22=28
Exploring Operation: 6+48=54, Resulting Numbers: [22, 54]
Generated Node #0,1,2: 97:[22, 54] Operation: 6+48=54
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 97:[48, 132], Operations: ['11*2=22', '6*22=132']
Exploring Operation: 132-48=84, Resulting Numbers: [84]
84,97 unequal: No Solution
Exploring Operation: 48*132=6336, Resulting Numbers: [6336]
6336,97 unequal: No Solution
Exploring Operation: 48+132=180, Resulting Numbers: [180]
180,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 97:[48, 28], Operations: ['11*2=22', '6+22=28']
Exploring Operation: 48-28=20, Resulting Numbers: [20]
20,97 unequal: No Solution
Exploring Operation: 48*28=1344, Resulting Numbers: [1344]
1344,97 unequal: No Solution
Exploring Operation: 48+28=76, Resulting Numbers: [76]
76,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 97:[22, 54], Operations: ['11*2=22', '6+48=54']
Exploring Operation: 22*54=1188, Resulting Numbers: [1188]
1188,97 unequal: No Solution
Exploring Operation: 22+54=76, Resulting Numbers: [76]
76,97 unequal: No Solution
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_3
|
sum_heuristic
|
[
45,
43,
28,
20
] | 46 |
[
"45-43=2",
"28+20=48",
"48-2=46"
] |
Current State: 46:[45, 43, 28, 20], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [28, 20, 2]
Generated Node #2: [28, 20, 2] from Operation: 45-43=2
Current State: 46:[28, 20, 2], Operations: ['45-43=2']
Exploring Operation: 28+20=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 28+20=48
Current State: 46:[2, 48], Operations: ['45-43=2', '28+20=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
Current State: 46:[45, 43, 28, 20], Operations: []
Exploring Operation: 28+20=48, Resulting Numbers: [45, 43, 48]
Generated Node #0,0: 46:[45, 43, 48] Operation: 28+20=48
Exploring Operation: 43-20=23, Resulting Numbers: [45, 28, 23]
Generated Node #0,1: 46:[45, 28, 23] Operation: 43-20=23
Exploring Operation: 45-20=25, Resulting Numbers: [43, 28, 25]
Generated Node #0,2: 46:[43, 28, 25] Operation: 45-20=25
Exploring Operation: 45-43=2, Resulting Numbers: [28, 20, 2]
Generated Node #0,3: 46:[28, 20, 2] Operation: 45-43=2
Moving to Node #0,0
Current State: 46:[45, 43, 48], Operations: ['28+20=48']
Exploring Operation: 45-43=2, Resulting Numbers: [48, 2]
Generated Node #0,0,0: 46:[48, 2] Operation: 45-43=2
Exploring Operation: 45+43=88, Resulting Numbers: [48, 88]
Generated Node #0,0,1: 46:[48, 88] Operation: 45+43=88
Exploring Operation: 48-45=3, Resulting Numbers: [43, 3]
Generated Node #0,0,2: 46:[43, 3] Operation: 48-45=3
Exploring Operation: 48-43=5, Resulting Numbers: [45, 5]
Generated Node #0,0,3: 46:[45, 5] Operation: 48-43=5
Moving to Node #0,1
Current State: 46:[45, 28, 23], Operations: ['43-20=23']
Exploring Operation: 45-23=22, Resulting Numbers: [28, 22]
Generated Node #0,1,0: 46:[28, 22] Operation: 45-23=22
Exploring Operation: 28+23=51, Resulting Numbers: [45, 51]
Generated Node #0,1,1: 46:[45, 51] Operation: 28+23=51
Exploring Operation: 45-28=17, Resulting Numbers: [23, 17]
Generated Node #0,1,2: 46:[23, 17] Operation: 45-28=17
Exploring Operation: 28-23=5, Resulting Numbers: [45, 5]
Generated Node #0,1,3: 46:[45, 5] Operation: 28-23=5
Moving to Node #0,3
Current State: 46:[28, 20, 2], Operations: ['45-43=2']
Exploring Operation: 28+20=48, Resulting Numbers: [2, 48]
Generated Node #0,3,0: 46:[2, 48] Operation: 28+20=48
Exploring Operation: 20+2=22, Resulting Numbers: [28, 22]
Generated Node #0,3,1: 46:[28, 22] Operation: 20+2=22
Exploring Operation: 28-2=26, Resulting Numbers: [20, 26]
Generated Node #0,3,2: 46:[20, 26] Operation: 28-2=26
Exploring Operation: 28-20=8, Resulting Numbers: [2, 8]
Generated Node #0,3,3: 46:[2, 8] Operation: 28-20=8
Moving to Node #0,2
Current State: 46:[43, 28, 25], Operations: ['45-20=25']
Exploring Operation: 43-25=18, Resulting Numbers: [28, 18]
Generated Node #0,2,0: 46:[28, 18] Operation: 43-25=18
Exploring Operation: 28-25=3, Resulting Numbers: [43, 3]
Generated Node #0,2,1: 46:[43, 3] Operation: 28-25=3
Exploring Operation: 28+25=53, Resulting Numbers: [43, 53]
Generated Node #0,2,2: 46:[43, 53] Operation: 28+25=53
Exploring Operation: 43-28=15, Resulting Numbers: [25, 15]
Generated Node #0,2,3: 46:[25, 15] Operation: 43-28=15
Moving to Node #0,0,0
Current State: 46:[48, 2], Operations: ['28+20=48', '45-43=2']
Exploring Operation: 48+2=50, Resulting Numbers: [50]
50,46 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[45, 43, 28, 20], Operations: []
Exploring Operation: 28+20=48, Resulting Numbers: [45, 43, 48]
Generated Node #0,0: 46:[45, 43, 48] Operation: 28+20=48
Moving to Node #0,0
Current State: 46:[45, 43, 48], Operations: ['28+20=48']
Exploring Operation: 45-43=2, Resulting Numbers: [48, 2]
Generated Node #0,0,0: 46:[48, 2] Operation: 45-43=2
Moving to Node #0,0,0
Current State: 46:[48, 2], Operations: ['28+20=48', '45-43=2']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 0.977431 |
hs_4
|
sum_heuristic
|
[
56,
15,
17,
44
] | 34 |
[
"17-15=2",
"44/2=22",
"56-22=34"
] |
Current State: 34:[56, 15, 17, 44], Operations: []
Exploring Operation: 17-15=2, Resulting Numbers: [56, 44, 2]
Generated Node #2: [56, 44, 2] from Operation: 17-15=2
Current State: 34:[56, 44, 2], Operations: ['17-15=2']
Exploring Operation: 44/2=22, Resulting Numbers: [56, 22]
Generated Node #3: [56, 22] from Operation: 44/2=22
Current State: 34:[56, 22], Operations: ['17-15=2', '44/2=22']
Exploring Operation: 56-22=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
Current State: 34:[56, 15, 17, 44], Operations: []
Exploring Operation: 56-15=41, Resulting Numbers: [17, 44, 41]
Generated Node #0,0: 34:[17, 44, 41] Operation: 56-15=41
Exploring Operation: 56-44=12, Resulting Numbers: [15, 17, 12]
Generated Node #0,1: 34:[15, 17, 12] Operation: 56-44=12
Exploring Operation: 56-17=39, Resulting Numbers: [15, 44, 39]
Generated Node #0,2: 34:[15, 44, 39] Operation: 56-17=39
Exploring Operation: 44-15=29, Resulting Numbers: [56, 17, 29]
Generated Node #0,3: 34:[56, 17, 29] Operation: 44-15=29
Exploring Operation: 44-17=27, Resulting Numbers: [56, 15, 27]
Generated Node #0,4: 34:[56, 15, 27] Operation: 44-17=27
Moving to Node #0,1
Current State: 34:[15, 17, 12], Operations: ['56-44=12']
Exploring Operation: 15+12=27, Resulting Numbers: [17, 27]
Generated Node #0,1,0: 34:[17, 27] Operation: 15+12=27
Exploring Operation: 17-15=2, Resulting Numbers: [12, 2]
Generated Node #0,1,1: 34:[12, 2] Operation: 17-15=2
Exploring Operation: 15+17=32, Resulting Numbers: [12, 32]
Generated Node #0,1,2: 34:[12, 32] Operation: 15+17=32
Exploring Operation: 17-12=5, Resulting Numbers: [15, 5]
Generated Node #0,1,3: 34:[15, 5] Operation: 17-12=5
Exploring Operation: 15-12=3, Resulting Numbers: [17, 3]
Generated Node #0,1,4: 34:[17, 3] Operation: 15-12=3
Moving to Node #0,2
Current State: 34:[15, 44, 39], Operations: ['56-17=39']
Exploring Operation: 15+39=54, Resulting Numbers: [44, 54]
Generated Node #0,2,0: 34:[44, 54] Operation: 15+39=54
Exploring Operation: 44-39=5, Resulting Numbers: [15, 5]
Generated Node #0,2,1: 34:[15, 5] Operation: 44-39=5
Exploring Operation: 44-15=29, Resulting Numbers: [39, 29]
Generated Node #0,2,2: 34:[39, 29] Operation: 44-15=29
Exploring Operation: 15+44=59, Resulting Numbers: [39, 59]
Generated Node #0,2,3: 34:[39, 59] Operation: 15+44=59
Exploring Operation: 39-15=24, Resulting Numbers: [44, 24]
Generated Node #0,2,4: 34:[44, 24] Operation: 39-15=24
Moving to Node #0,0
Current State: 34:[17, 44, 41], Operations: ['56-15=41']
Exploring Operation: 17+41=58, Resulting Numbers: [44, 58]
Generated Node #0,0,0: 34:[44, 58] Operation: 17+41=58
Exploring Operation: 41-17=24, Resulting Numbers: [44, 24]
Generated Node #0,0,1: 34:[44, 24] Operation: 41-17=24
Exploring Operation: 44-41=3, Resulting Numbers: [17, 3]
Generated Node #0,0,2: 34:[17, 3] Operation: 44-41=3
Exploring Operation: 44-17=27, Resulting Numbers: [41, 27]
Generated Node #0,0,3: 34:[41, 27] Operation: 44-17=27
Exploring Operation: 17+44=61, Resulting Numbers: [41, 61]
Generated Node #0,0,4: 34:[41, 61] Operation: 17+44=61
Moving to Node #0,3
Current State: 34:[56, 17, 29], Operations: ['44-15=29']
Exploring Operation: 17+29=46, Resulting Numbers: [56, 46]
Generated Node #0,3,0: 34:[56, 46] Operation: 17+29=46
Exploring Operation: 56-17=39, Resulting Numbers: [29, 39]
Generated Node #0,3,1: 34:[29, 39] Operation: 56-17=39
Exploring Operation: 56-29=27, Resulting Numbers: [17, 27]
Generated Node #0,3,2: 34:[17, 27] Operation: 56-29=27
Exploring Operation: 29-17=12, Resulting Numbers: [56, 12]
Generated Node #0,3,3: 34:[56, 12] Operation: 29-17=12
Exploring Operation: 56+17=73, Resulting Numbers: [29, 73]
Generated Node #0,3,4: 34:[29, 73] Operation: 56+17=73
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 34:[17, 27], Operations: ['44-15=29', '56-29=27']
Exploring Operation: 17*27=459, Resulting Numbers: [459]
459,34 unequal: No Solution
Exploring Operation: 17+27=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 34:[29, 39], Operations: ['44-15=29', '56-17=39']
Exploring Operation: 29+39=68, Resulting Numbers: [68]
68,34 unequal: No Solution
Exploring Operation: 39-29=10, Resulting Numbers: [10]
10,34 unequal: No Solution
Exploring Operation: 29*39=1131, Resulting Numbers: [1131]
1131,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 34:[56, 12], Operations: ['44-15=29', '29-17=12']
Exploring Operation: 56-12=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Exploring Operation: 56+12=68, Resulting Numbers: [68]
68,34 unequal: No Solution
Exploring Operation: 56*12=672, Resulting Numbers: [672]
672,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 34:[56, 46], Operations: ['44-15=29', '17+29=46']
Exploring Operation: 56*46=2576, Resulting Numbers: [2576]
2576,34 unequal: No Solution
Exploring Operation: 56+46=102, Resulting Numbers: [102]
102,34 unequal: No Solution
Exploring Operation: 56-46=10, Resulting Numbers: [10]
10,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 34:[29, 73], Operations: ['44-15=29', '56+17=73']
Exploring Operation: 73-29=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Exploring Operation: 29*73=2117, Resulting Numbers: [2117]
2117,34 unequal: No Solution
Exploring Operation: 29+73=102, Resulting Numbers: [102]
102,34 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: 34:[56, 15, 27], Operations: ['44-17=27']
Exploring Operation: 15+27=42, Resulting Numbers: [56, 42]
Generated Node #0,4,0: 34:[56, 42] Operation: 15+27=42
Exploring Operation: 56-15=41, Resulting Numbers: [27, 41]
Generated Node #0,4,1: 34:[27, 41] Operation: 56-15=41
Exploring Operation: 56+15=71, Resulting Numbers: [27, 71]
Generated Node #0,4,2: 34:[27, 71] Operation: 56+15=71
Exploring Operation: 56-27=29, Resulting Numbers: [15, 29]
Generated Node #0,4,3: 34:[15, 29] Operation: 56-27=29
Exploring Operation: 27-15=12, Resulting Numbers: [56, 12]
Generated Node #0,4,4: 34:[56, 12] Operation: 27-15=12
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 34:[15, 29], Operations: ['44-17=27', '56-27=29']
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,34 unequal: No Solution
Exploring Operation: 15+29=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Exploring Operation: 15*29=435, Resulting Numbers: [435]
435,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 34:[27, 41], Operations: ['44-17=27', '56-15=41']
Exploring Operation: 27*41=1107, Resulting Numbers: [1107]
1107,34 unequal: No Solution
Exploring Operation: 27+41=68, Resulting Numbers: [68]
68,34 unequal: No Solution
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 34:[56, 12], Operations: ['44-17=27', '27-15=12']
Exploring Operation: 56*12=672, Resulting Numbers: [672]
672,34 unequal: No Solution
Exploring Operation: 56+12=68, Resulting Numbers: [68]
68,34 unequal: No Solution
Exploring Operation: 56-12=44, Resulting Numbers: [44]
44,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 34:[56, 42], Operations: ['44-17=27', '15+27=42']
Exploring Operation: 56-42=14, Resulting Numbers: [14]
14,34 unequal: No Solution
Exploring Operation: 56*42=2352, Resulting Numbers: [2352]
2352,34 unequal: No Solution
Exploring Operation: 56+42=98, Resulting Numbers: [98]
98,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 34:[27, 71], Operations: ['44-17=27', '56+15=71']
Exploring Operation: 71-27=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Exploring Operation: 27*71=1917, Resulting Numbers: [1917]
1917,34 unequal: No Solution
Exploring Operation: 27+71=98, Resulting Numbers: [98]
98,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,4
Current State: 34:[17, 3], Operations: ['56-44=12', '15-12=3']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,34 unequal: No Solution
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Moving to Node #0,0,2
Current State: 34:[17, 3], Operations: ['56-15=41', '44-41=3']
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,34 unequal: No Solution
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,34 unequal: No Solution
Moving to Node #0,1,3
Current State: 34:[15, 5], Operations: ['56-44=12', '17-12=5']
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,34 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,34 unequal: No Solution
Moving to Node #0,2,1
Current State: 34:[15, 5], Operations: ['56-17=39', '44-39=5']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,34 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,34 unequal: No Solution
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Moving to Node #0,1,1
Current State: 34:[12, 2], Operations: ['56-44=12', '17-15=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,34 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,34 unequal: No Solution
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Moving to Node #0,1,2
Current State: 34:[12, 32], Operations: ['56-44=12', '15+17=32']
Exploring Operation: 12*32=384, Resulting Numbers: [384]
384,34 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Exploring Operation: 12+32=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Moving to Node #0,1,0
Current State: 34:[17, 27], Operations: ['56-44=12', '15+12=27']
Exploring Operation: 17+27=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Exploring Operation: 17*27=459, Resulting Numbers: [459]
459,34 unequal: No Solution
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,34 unequal: No Solution
Moving to Node #0,2,2
Current State: 34:[39, 29], Operations: ['56-17=39', '44-15=29']
Exploring Operation: 39-29=10, Resulting Numbers: [10]
10,34 unequal: No Solution
Exploring Operation: 39+29=68, Resulting Numbers: [68]
68,34 unequal: No Solution
Exploring Operation: 39*29=1131, Resulting Numbers: [1131]
1131,34 unequal: No Solution
Moving to Node #0,0,3
Current State: 34:[41, 27], Operations: ['56-15=41', '44-17=27']
Exploring Operation: 41+27=68, Resulting Numbers: [68]
68,34 unequal: No Solution
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,34 unequal: No Solution
Exploring Operation: 41*27=1107, Resulting Numbers: [1107]
1107,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[44, 24], Operations: ['56-15=41', '41-17=24']
Exploring Operation: 44*24=1056, Resulting Numbers: [1056]
1056,34 unequal: No Solution
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Exploring Operation: 44+24=68, Resulting Numbers: [68]
68,34 unequal: No Solution
Moving to Node #0,2,4
Current State: 34:[44, 24], Operations: ['56-17=39', '39-15=24']
Exploring Operation: 44*24=1056, Resulting Numbers: [1056]
1056,34 unequal: No Solution
Exploring Operation: 44+24=68, Resulting Numbers: [68]
68,34 unequal: No Solution
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Moving to Node #0,2,3
Current State: 34:[39, 59], Operations: ['56-17=39', '15+44=59']
Exploring Operation: 39+59=98, Resulting Numbers: [98]
98,34 unequal: No Solution
Exploring Operation: 39*59=2301, Resulting Numbers: [2301]
2301,34 unequal: No Solution
Exploring Operation: 59-39=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Moving to Node #0,2,0
Current State: 34:[44, 54], Operations: ['56-17=39', '15+39=54']
Exploring Operation: 44*54=2376, Resulting Numbers: [2376]
2376,34 unequal: No Solution
Exploring Operation: 54-44=10, Resulting Numbers: [10]
10,34 unequal: No Solution
Exploring Operation: 44+54=98, Resulting Numbers: [98]
98,34 unequal: No Solution
Moving to Node #0,0,4
Current State: 34:[41, 61], Operations: ['56-15=41', '17+44=61']
Exploring Operation: 41*61=2501, Resulting Numbers: [2501]
2501,34 unequal: No Solution
Exploring Operation: 61-41=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Exploring Operation: 41+61=102, Resulting Numbers: [102]
102,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[44, 58], Operations: ['56-15=41', '17+41=58']
Exploring Operation: 58-44=14, Resulting Numbers: [14]
14,34 unequal: No Solution
Exploring Operation: 44*58=2552, Resulting Numbers: [2552]
2552,34 unequal: No Solution
Exploring Operation: 44+58=102, Resulting Numbers: [102]
102,34 unequal: No Solution
No solution found.
| 0 |
hs_5
|
sum_heuristic
|
[
32,
90,
92,
61
] | 90 |
[
"32+90=122",
"122/61=2",
"92-2=90"
] |
Current State: 90:[32, 90, 92, 61], Operations: []
Exploring Operation: 32+90=122, Resulting Numbers: [92, 61, 122]
Generated Node #2: [92, 61, 122] from Operation: 32+90=122
Current State: 90:[92, 61, 122], Operations: ['32+90=122']
Exploring Operation: 122/61=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 122/61=2
Current State: 90:[92, 2], Operations: ['32+90=122', '122/61=2']
Exploring Operation: 92-2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
Current State: 90:[32, 90, 92, 61], Operations: []
Exploring Operation: 61-32=29, Resulting Numbers: [90, 92, 29]
Generated Node #0,0: 90:[90, 92, 29] Operation: 61-32=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[90, 92, 29], Operations: ['61-32=29']
Exploring Operation: 92-90=2, Resulting Numbers: [29, 2]
Generated Node #0,0,0: 90:[29, 2] Operation: 92-90=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[29, 2], Operations: ['61-32=29', '92-90=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_1
|
sum_heuristic
|
[
24,
17,
32,
10
] | 19 |
[
"24+17=41",
"32-10=22",
"41-22=19"
] |
Current State: 19:[24, 17, 32, 10], Operations: []
Exploring Operation: 24+17=41, Resulting Numbers: [32, 10, 41]
Generated Node #2: [32, 10, 41] from Operation: 24+17=41
Current State: 19:[32, 10, 41], Operations: ['24+17=41']
Exploring Operation: 32-10=22, Resulting Numbers: [41, 22]
Generated Node #3: [41, 22] from Operation: 32-10=22
Current State: 19:[41, 22], Operations: ['24+17=41', '32-10=22']
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
Current State: 19:[24, 17, 32, 10], Operations: []
Exploring Operation: 32-10=22, Resulting Numbers: [24, 17, 22]
Generated Node #0,0: 19:[24, 17, 22] Operation: 32-10=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[24, 17, 22], Operations: ['32-10=22']
Exploring Operation: 24-17=7, Resulting Numbers: [22, 7]
Generated Node #0,0,0: 19:[22, 7] Operation: 24-17=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[22, 7], Operations: ['32-10=22', '24-17=7']
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,19 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_1
|
mult_heuristic
|
[
8,
94,
47,
60
] | 22 |
[
"94/47=2",
"60/2=30",
"30-8=22"
] |
Current State: 22:[8, 94, 47, 60], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [8, 60, 2]
Generated Node #2: [8, 60, 2] from Operation: 94/47=2
Current State: 22:[8, 60, 2], Operations: ['94/47=2']
Exploring Operation: 60/2=30, Resulting Numbers: [8, 30]
Generated Node #3: [8, 30] from Operation: 60/2=30
Current State: 22:[8, 30], Operations: ['94/47=2', '60/2=30']
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
Current State: 22:[8, 94, 47, 60], Operations: []
Exploring Operation: 60-47=13, Resulting Numbers: [8, 94, 13]
Generated Node #0,0: 22:[8, 94, 13] Operation: 60-47=13
Exploring Operation: 94/47=2, Resulting Numbers: [8, 60, 2]
Generated Node #0,1: 22:[8, 60, 2] Operation: 94/47=2
Exploring Operation: 94-60=34, Resulting Numbers: [8, 47, 34]
Generated Node #0,2: 22:[8, 47, 34] Operation: 94-60=34
Exploring Operation: 94-47=47, Resulting Numbers: [8, 60, 47]
Generated Node #0,3: 22:[8, 60, 47] Operation: 94-47=47
Start Sub Search at level 1: Moving to Node #0,2
Current State: 22:[8, 47, 34], Operations: ['94-60=34']
Exploring Operation: 8+47=55, Resulting Numbers: [34, 55]
Generated Node #0,2,0: 22:[34, 55] Operation: 8+47=55
Exploring Operation: 47-8=39, Resulting Numbers: [34, 39]
Generated Node #0,2,1: 22:[34, 39] Operation: 47-8=39
Exploring Operation: 34-8=26, Resulting Numbers: [47, 26]
Generated Node #0,2,2: 22:[47, 26] Operation: 34-8=26
Exploring Operation: 47-34=13, Resulting Numbers: [8, 13]
Generated Node #0,2,3: 22:[8, 13] Operation: 47-34=13
Moving to Node #0,2,3
Current State: 22:[8, 13], Operations: ['94-60=34', '47-34=13']
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,22 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,22 unequal: No Solution
Exploring Operation: 8*13=104, Resulting Numbers: [104]
104,22 unequal: No Solution
Moving to Node #0,2,2
Current State: 22:[47, 26], Operations: ['94-60=34', '34-8=26']
Exploring Operation: 47*26=1222, Resulting Numbers: [1222]
1222,22 unequal: No Solution
Exploring Operation: 47+26=73, Resulting Numbers: [73]
73,22 unequal: No Solution
Exploring Operation: 47-26=21, Resulting Numbers: [21]
21,22 unequal: No Solution
Moving to Node #0,2,1
Current State: 22:[34, 39], Operations: ['94-60=34', '47-8=39']
Exploring Operation: 34+39=73, Resulting Numbers: [73]
73,22 unequal: No Solution
Exploring Operation: 39-34=5, Resulting Numbers: [5]
5,22 unequal: No Solution
Exploring Operation: 34*39=1326, Resulting Numbers: [1326]
1326,22 unequal: No Solution
Moving to Node #0,2,0
Current State: 22:[34, 55], Operations: ['94-60=34', '8+47=55']
Exploring Operation: 34*55=1870, Resulting Numbers: [1870]
1870,22 unequal: No Solution
Exploring Operation: 55-34=21, Resulting Numbers: [21]
21,22 unequal: No Solution
Exploring Operation: 34+55=89, Resulting Numbers: [89]
89,22 unequal: No Solution
No 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: 22:[8, 60, 2], Operations: ['94/47=2']
Exploring Operation: 8+2=10, Resulting Numbers: [60, 10]
Generated Node #0,1,0: 22:[60, 10] Operation: 8+2=10
Exploring Operation: 60-2=58, Resulting Numbers: [8, 58]
Generated Node #0,1,1: 22:[8, 58] Operation: 60-2=58
Exploring Operation: 60-8=52, Resulting Numbers: [2, 52]
Generated Node #0,1,2: 22:[2, 52] Operation: 60-8=52
Exploring Operation: 60/2=30, Resulting Numbers: [8, 30]
Generated Node #0,1,3: 22:[8, 30] Operation: 60/2=30
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 22:[8, 30], Operations: ['94/47=2', '60/2=30']
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[8, 94, 47, 60], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [8, 60, 2]
Generated Node #0,1: 22:[8, 60, 2] Operation: 94/47=2
Moving to Node #0,1
Current State: 22:[8, 60, 2], Operations: ['94/47=2']
Exploring Operation: 60/2=30, Resulting Numbers: [8, 30]
Generated Node #0,1,3: 22:[8, 30] Operation: 60/2=30
Moving to Node #0,1,3
Current State: 22:[8, 30], Operations: ['94/47=2', '60/2=30']
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.974826 |
hs_4
|
mult_heuristic
|
[
17,
70,
66,
43
] | 25 |
[
"70-66=4",
"17*4=68",
"68-43=25"
] |
Current State: 25:[17, 70, 66, 43], Operations: []
Exploring Operation: 70-66=4, Resulting Numbers: [17, 43, 4]
Generated Node #2: [17, 43, 4] from Operation: 70-66=4
Current State: 25:[17, 43, 4], Operations: ['70-66=4']
Exploring Operation: 17*4=68, Resulting Numbers: [43, 68]
Generated Node #3: [43, 68] from Operation: 17*4=68
Current State: 25:[43, 68], Operations: ['70-66=4', '17*4=68']
Exploring Operation: 68-43=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
Current State: 25:[17, 70, 66, 43], Operations: []
Exploring Operation: 66-43=23, Resulting Numbers: [17, 70, 23]
Generated Node #0,0: 25:[17, 70, 23] Operation: 66-43=23
Exploring Operation: 70-17=53, Resulting Numbers: [66, 43, 53]
Generated Node #0,1: 25:[66, 43, 53] Operation: 70-17=53
Exploring Operation: 70-66=4, Resulting Numbers: [17, 43, 4]
Generated Node #0,2: 25:[17, 43, 4] Operation: 70-66=4
Exploring Operation: 70-43=27, Resulting Numbers: [17, 66, 27]
Generated Node #0,3: 25:[17, 66, 27] Operation: 70-43=27
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[17, 43, 4], Operations: ['70-66=4']
Exploring Operation: 17-4=13, Resulting Numbers: [43, 13]
Generated Node #0,2,0: 25:[43, 13] Operation: 17-4=13
Exploring Operation: 43-4=39, Resulting Numbers: [17, 39]
Generated Node #0,2,1: 25:[17, 39] Operation: 43-4=39
Exploring Operation: 43-17=26, Resulting Numbers: [4, 26]
Generated Node #0,2,2: 25:[4, 26] Operation: 43-17=26
Exploring Operation: 17+4=21, Resulting Numbers: [43, 21]
Generated Node #0,2,3: 25:[43, 21] Operation: 17+4=21
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 25:[4, 26], Operations: ['70-66=4', '43-17=26']
Exploring Operation: 4*26=104, Resulting Numbers: [104]
104,25 unequal: No Solution
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 25:[17, 39], Operations: ['70-66=4', '43-4=39']
Exploring Operation: 17+39=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Exploring Operation: 17*39=663, Resulting Numbers: [663]
663,25 unequal: No Solution
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 25:[43, 21], Operations: ['70-66=4', '17+4=21']
Exploring Operation: 43+21=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 43*21=903, Resulting Numbers: [903]
903,25 unequal: No Solution
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 25:[43, 13], Operations: ['70-66=4', '17-4=13']
Exploring Operation: 43*13=559, Resulting Numbers: [559]
559,25 unequal: No Solution
Exploring Operation: 43+13=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 25:[17, 66, 27], Operations: ['70-43=27']
Exploring Operation: 66-17=49, Resulting Numbers: [27, 49]
Generated Node #0,3,0: 25:[27, 49] Operation: 66-17=49
Exploring Operation: 66-27=39, Resulting Numbers: [17, 39]
Generated Node #0,3,1: 25:[17, 39] Operation: 66-27=39
Exploring Operation: 17+66=83, Resulting Numbers: [27, 83]
Generated Node #0,3,2: 25:[27, 83] Operation: 17+66=83
Exploring Operation: 27-17=10, Resulting Numbers: [66, 10]
Generated Node #0,3,3: 25:[66, 10] Operation: 27-17=10
Moving to Node #0,3,1
Current State: 25:[17, 39], Operations: ['70-43=27', '66-27=39']
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,25 unequal: No Solution
Exploring Operation: 17*39=663, Resulting Numbers: [663]
663,25 unequal: No Solution
Exploring Operation: 17+39=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Moving to Node #0,3,0
Current State: 25:[27, 49], Operations: ['70-43=27', '66-17=49']
Exploring Operation: 27*49=1323, Resulting Numbers: [1323]
1323,25 unequal: No Solution
Exploring Operation: 27+49=76, Resulting Numbers: [76]
76,25 unequal: No Solution
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,25 unequal: No Solution
Moving to Node #0,3,3
Current State: 25:[66, 10], Operations: ['70-43=27', '27-17=10']
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Exploring Operation: 66*10=660, Resulting Numbers: [660]
660,25 unequal: No Solution
Exploring Operation: 66+10=76, Resulting Numbers: [76]
76,25 unequal: No Solution
Moving to Node #0,3,2
Current State: 25:[27, 83], Operations: ['70-43=27', '17+66=83']
Exploring Operation: 27*83=2241, Resulting Numbers: [2241]
2241,25 unequal: No Solution
Exploring Operation: 27+83=110, Resulting Numbers: [110]
110,25 unequal: No Solution
Exploring Operation: 83-27=56, Resulting Numbers: [56]
56,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[17, 70, 23], Operations: ['66-43=23']
Exploring Operation: 23-17=6, Resulting Numbers: [70, 6]
Generated Node #0,0,0: 25:[70, 6] Operation: 23-17=6
Exploring Operation: 17+23=40, Resulting Numbers: [70, 40]
Generated Node #0,0,1: 25:[70, 40] Operation: 17+23=40
Exploring Operation: 70-17=53, Resulting Numbers: [23, 53]
Generated Node #0,0,2: 25:[23, 53] Operation: 70-17=53
Exploring Operation: 70-23=47, Resulting Numbers: [17, 47]
Generated Node #0,0,3: 25:[17, 47] Operation: 70-23=47
Moving to Node #0,0,2
Current State: 25:[23, 53], Operations: ['66-43=23', '70-17=53']
Exploring Operation: 23+53=76, Resulting Numbers: [76]
76,25 unequal: No Solution
Exploring Operation: 23*53=1219, Resulting Numbers: [1219]
1219,25 unequal: No Solution
Exploring Operation: 53-23=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Moving to Node #0,0,3
Current State: 25:[17, 47], Operations: ['66-43=23', '70-23=47']
Exploring Operation: 17*47=799, Resulting Numbers: [799]
799,25 unequal: No Solution
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Exploring Operation: 17+47=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[70, 6], Operations: ['66-43=23', '23-17=6']
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,25 unequal: No Solution
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,25 unequal: No Solution
Exploring Operation: 70*6=420, Resulting Numbers: [420]
420,25 unequal: No Solution
Moving to Node #0,0,1
Current State: 25:[70, 40], Operations: ['66-43=23', '17+23=40']
Exploring Operation: 70+40=110, Resulting Numbers: [110]
110,25 unequal: No Solution
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Exploring Operation: 70*40=2800, Resulting Numbers: [2800]
2800,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[66, 43, 53], Operations: ['70-17=53']
Exploring Operation: 66+43=109, Resulting Numbers: [53, 109]
Generated Node #0,1,0: 25:[53, 109] Operation: 66+43=109
Exploring Operation: 66-43=23, Resulting Numbers: [53, 23]
Generated Node #0,1,1: 25:[53, 23] Operation: 66-43=23
Exploring Operation: 66-53=13, Resulting Numbers: [43, 13]
Generated Node #0,1,2: 25:[43, 13] Operation: 66-53=13
Exploring Operation: 53-43=10, Resulting Numbers: [66, 10]
Generated Node #0,1,3: 25:[66, 10] Operation: 53-43=10
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 25:[43, 13], Operations: ['70-17=53', '66-53=13']
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Exploring Operation: 43*13=559, Resulting Numbers: [559]
559,25 unequal: No Solution
Exploring Operation: 43+13=56, Resulting Numbers: [56]
56,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 25:[53, 23], Operations: ['70-17=53', '66-43=23']
Exploring Operation: 53+23=76, Resulting Numbers: [76]
76,25 unequal: No Solution
Exploring Operation: 53-23=30, Resulting Numbers: [30]
30,25 unequal: No Solution
Exploring Operation: 53*23=1219, Resulting Numbers: [1219]
1219,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 25:[66, 10], Operations: ['70-17=53', '53-43=10']
Exploring Operation: 66+10=76, Resulting Numbers: [76]
76,25 unequal: No Solution
Exploring Operation: 66*10=660, Resulting Numbers: [660]
660,25 unequal: No Solution
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 25:[53, 109], Operations: ['70-17=53', '66+43=109']
Exploring Operation: 109-53=56, Resulting Numbers: [56]
56,25 unequal: No Solution
Exploring Operation: 53*109=5777, Resulting Numbers: [5777]
5777,25 unequal: No Solution
Exploring Operation: 53+109=162, Resulting Numbers: [162]
162,25 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
[
24,
48,
90,
18
] | 33 |
[
"24-18=6",
"90/6=15",
"48-15=33"
] |
Current State: 33:[24, 48, 90, 18], Operations: []
Exploring Operation: 24-18=6, Resulting Numbers: [48, 90, 6]
Generated Node #2: [48, 90, 6] from Operation: 24-18=6
Current State: 33:[48, 90, 6], Operations: ['24-18=6']
Exploring Operation: 90/6=15, Resulting Numbers: [48, 15]
Generated Node #3: [48, 15] from Operation: 90/6=15
Current State: 33:[48, 15], Operations: ['24-18=6', '90/6=15']
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
Current State: 33:[24, 48, 90, 18], Operations: []
Exploring Operation: 90-18=72, Resulting Numbers: [24, 48, 72]
Generated Node #0,0: 33:[24, 48, 72] Operation: 90-18=72
Exploring Operation: 90/18=5, Resulting Numbers: [24, 48, 5]
Generated Node #0,1: 33:[24, 48, 5] Operation: 90/18=5
Exploring Operation: 90-24=66, Resulting Numbers: [48, 18, 66]
Generated Node #0,2: 33:[48, 18, 66] Operation: 90-24=66
Exploring Operation: 90-48=42, Resulting Numbers: [24, 18, 42]
Generated Node #0,3: 33:[24, 18, 42] Operation: 90-48=42
Start Sub Search at level 1: Moving to Node #0,3
Current State: 33:[24, 18, 42], Operations: ['90-48=42']
Exploring Operation: 42-18=24, Resulting Numbers: [24, 24]
Generated Node #0,3,0: 33:[24, 24] Operation: 42-18=24
Exploring Operation: 24+18=42, Resulting Numbers: [42, 42]
Generated Node #0,3,1: 33:[42, 42] Operation: 24+18=42
Exploring Operation: 42-24=18, Resulting Numbers: [18, 18]
Generated Node #0,3,2: 33:[18, 18] Operation: 42-24=18
Exploring Operation: 24-18=6, Resulting Numbers: [42, 6]
Generated Node #0,3,3: 33:[42, 6] Operation: 24-18=6
Moving to Node #0,3,3
Current State: 33:[42, 6], Operations: ['90-48=42', '24-18=6']
Exploring Operation: 42+6=48, Resulting Numbers: [48]
48,33 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,33 unequal: No Solution
Exploring Operation: 42*6=252, Resulting Numbers: [252]
252,33 unequal: No Solution
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Moving to Node #0,3,2
Current State: 33:[18, 18], Operations: ['90-48=42', '42-24=18']
Exploring Operation: 18*18=324, Resulting Numbers: [324]
324,33 unequal: No Solution
Exploring Operation: 18/18=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 18+18=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 18-18=0, Resulting Numbers: [0]
0,33 unequal: No Solution
Moving to Node #0,3,1
Current State: 33:[42, 42], Operations: ['90-48=42', '24+18=42']
Exploring Operation: 42-42=0, Resulting Numbers: [0]
0,33 unequal: No Solution
Exploring Operation: 42*42=1764, Resulting Numbers: [1764]
1764,33 unequal: No Solution
Exploring Operation: 42/42=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 42+42=84, Resulting Numbers: [84]
84,33 unequal: No Solution
Moving to Node #0,3,0
Current State: 33:[24, 24], Operations: ['90-48=42', '42-18=24']
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,33 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,33 unequal: No Solution
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[24, 48, 5], Operations: ['90/18=5']
Exploring Operation: 48-24=24, Resulting Numbers: [5, 24]
Generated Node #0,1,0: 33:[5, 24] Operation: 48-24=24
Exploring Operation: 24+5=29, Resulting Numbers: [48, 29]
Generated Node #0,1,1: 33:[48, 29] Operation: 24+5=29
Exploring Operation: 48-5=43, Resulting Numbers: [24, 43]
Generated Node #0,1,2: 33:[24, 43] Operation: 48-5=43
Exploring Operation: 48/24=2, Resulting Numbers: [5, 2]
Generated Node #0,1,3: 33:[5, 2] Operation: 48/24=2
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 33:[5, 2], Operations: ['90/18=5', '48/24=2']
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,33 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 33:[5, 24], Operations: ['90/18=5', '48-24=24']
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,33 unequal: No Solution
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,33 unequal: No Solution
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 33:[48, 29], Operations: ['90/18=5', '24+5=29']
Exploring Operation: 48*29=1392, Resulting Numbers: [1392]
1392,33 unequal: No Solution
Exploring Operation: 48+29=77, Resulting Numbers: [77]
77,33 unequal: No Solution
Exploring Operation: 48-29=19, Resulting Numbers: [19]
19,33 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 33:[24, 43], Operations: ['90/18=5', '48-5=43']
Exploring Operation: 24+43=67, Resulting Numbers: [67]
67,33 unequal: No Solution
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,33 unequal: No Solution
Exploring Operation: 24*43=1032, Resulting Numbers: [1032]
1032,33 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: 33:[48, 18, 66], Operations: ['90-24=66']
Exploring Operation: 48-18=30, Resulting Numbers: [66, 30]
Generated Node #0,2,0: 33:[66, 30] Operation: 48-18=30
Exploring Operation: 48+18=66, Resulting Numbers: [66, 66]
Generated Node #0,2,1: 33:[66, 66] Operation: 48+18=66
Exploring Operation: 66-48=18, Resulting Numbers: [18, 18]
Generated Node #0,2,2: 33:[18, 18] Operation: 66-48=18
Exploring Operation: 66-18=48, Resulting Numbers: [48, 48]
Generated Node #0,2,3: 33:[48, 48] Operation: 66-18=48
Moving to Node #0,2,2
Current State: 33:[18, 18], Operations: ['90-24=66', '66-48=18']
Exploring Operation: 18+18=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 18*18=324, Resulting Numbers: [324]
324,33 unequal: No Solution
Exploring Operation: 18-18=0, Resulting Numbers: [0]
0,33 unequal: No Solution
Exploring Operation: 18/18=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Moving to Node #0,2,3
Current State: 33:[48, 48], Operations: ['90-24=66', '66-18=48']
Exploring Operation: 48*48=2304, Resulting Numbers: [2304]
2304,33 unequal: No Solution
Exploring Operation: 48-48=0, Resulting Numbers: [0]
0,33 unequal: No Solution
Exploring Operation: 48+48=96, Resulting Numbers: [96]
96,33 unequal: No Solution
Exploring Operation: 48/48=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Moving to Node #0,2,0
Current State: 33:[66, 30], Operations: ['90-24=66', '48-18=30']
Exploring Operation: 66+30=96, Resulting Numbers: [96]
96,33 unequal: No Solution
Exploring Operation: 66*30=1980, Resulting Numbers: [1980]
1980,33 unequal: No Solution
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Moving to Node #0,2,1
Current State: 33:[66, 66], Operations: ['90-24=66', '48+18=66']
Exploring Operation: 66*66=4356, Resulting Numbers: [4356]
4356,33 unequal: No Solution
Exploring Operation: 66+66=132, Resulting Numbers: [132]
132,33 unequal: No Solution
Exploring Operation: 66/66=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 66-66=0, Resulting Numbers: [0]
0,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[24, 48, 72], Operations: ['90-18=72']
Exploring Operation: 48/24=2, Resulting Numbers: [72, 2]
Generated Node #0,0,0: 33:[72, 2] Operation: 48/24=2
Exploring Operation: 72/24=3, Resulting Numbers: [48, 3]
Generated Node #0,0,1: 33:[48, 3] Operation: 72/24=3
Exploring Operation: 72-48=24, Resulting Numbers: [24, 24]
Generated Node #0,0,2: 33:[24, 24] Operation: 72-48=24
Exploring Operation: 72-24=48, Resulting Numbers: [48, 48]
Generated Node #0,0,3: 33:[48, 48] Operation: 72-24=48
Moving to Node #0,0,1
Current State: 33:[48, 3], Operations: ['90-18=72', '72/24=3']
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,33 unequal: No Solution
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,33 unequal: No Solution
Exploring Operation: 48*3=144, Resulting Numbers: [144]
144,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[24, 24], Operations: ['90-18=72', '72-48=24']
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,33 unequal: No Solution
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,33 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,33 unequal: No Solution
Moving to Node #0,0,3
Current State: 33:[48, 48], Operations: ['90-18=72', '72-24=48']
Exploring Operation: 48*48=2304, Resulting Numbers: [2304]
2304,33 unequal: No Solution
Exploring Operation: 48/48=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 48+48=96, Resulting Numbers: [96]
96,33 unequal: No Solution
Exploring Operation: 48-48=0, Resulting Numbers: [0]
0,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[72, 2], Operations: ['90-18=72', '48/24=2']
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,33 unequal: No Solution
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,33 unequal: No Solution
Exploring Operation: 72*2=144, Resulting Numbers: [144]
144,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 |
hs_4
|
sum_heuristic
|
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