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 |
|---|---|---|---|---|---|---|---|---|
[
85,
78,
67,
15
] | 80 | [
"78-67=11",
"15*11=165",
"165-85=80"
] | Current State: 80:[85, 78, 67, 15], Operations: []
Exploring Operation: 78-67=11, Resulting Numbers: [85, 15, 11]
Generated Node #2: [85, 15, 11] from Operation: 78-67=11
Current State: 80:[85, 15, 11], Operations: ['78-67=11']
Exploring Operation: 15*11=165, Resulting Numbers: [85, 165]
Generated Node #3: [85, 165] from Operation: 15*11=165
Current State: 80:[85, 165], Operations: ['78-67=11', '15*11=165']
Exploring Operation: 165-85=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[85, 78, 67, 15], Operations: []
Exploring Operation: 67+15=82, Resulting Numbers: [85, 78, 82]
Generated Node #0,0: 80:[85, 78, 82] Operation: 67+15=82
Exploring Operation: 85-67=18, Resulting Numbers: [78, 15, 18]
Generated Node #0,1: 80:[78, 15, 18] Operation: 85-67=18
Exploring Operation: 85-78=7, Resulting Numbers: [67, 15, 7]
Generated Node #0,2: 80:[67, 15, 7] Operation: 85-78=7
Exploring Operation: 78-67=11, Resulting Numbers: [85, 15, 11]
Generated Node #0,3: 80:[85, 15, 11] Operation: 78-67=11
Moving to Node #0,1
Current State: 80:[78, 15, 18], Operations: ['85-67=18']
Exploring Operation: 18-15=3, Resulting Numbers: [78, 3]
Generated Node #0,1,0: 80:[78, 3] Operation: 18-15=3
Exploring Operation: 15+18=33, Resulting Numbers: [78, 33]
Generated Node #0,1,1: 80:[78, 33] Operation: 15+18=33
Exploring Operation: 78+15=93, Resulting Numbers: [18, 93]
Generated Node #0,1,2: 80:[18, 93] Operation: 78+15=93
Exploring Operation: 78+18=96, Resulting Numbers: [15, 96]
Generated Node #0,1,3: 80:[15, 96] Operation: 78+18=96
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 80:[78, 3], Operations: ['85-67=18', '18-15=3']
Exploring Operation: 78*3=234, Resulting Numbers: [234]
234,80 unequal: No Solution
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,80 unequal: No Solution
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[78, 33], Operations: ['85-67=18', '15+18=33']
Exploring Operation: 78+33=111, Resulting Numbers: [111]
111,80 unequal: No Solution
Exploring Operation: 78*33=2574, Resulting Numbers: [2574]
2574,80 unequal: No Solution
Exploring Operation: 78-33=45, Resulting Numbers: [45]
45,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 80:[18, 93], Operations: ['85-67=18', '78+15=93']
Exploring Operation: 18+93=111, Resulting Numbers: [111]
111,80 unequal: No Solution
Exploring Operation: 18*93=1674, Resulting Numbers: [1674]
1674,80 unequal: No Solution
Exploring Operation: 93-18=75, Resulting Numbers: [75]
75,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 80:[15, 96], Operations: ['85-67=18', '78+18=96']
Exploring Operation: 15*96=1440, Resulting Numbers: [1440]
1440,80 unequal: No Solution
Exploring Operation: 15+96=111, Resulting Numbers: [111]
111,80 unequal: No Solution
Exploring Operation: 96-15=81, Resulting Numbers: [81]
81,80 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: 80:[85, 15, 11], Operations: ['78-67=11']
Exploring Operation: 15-11=4, Resulting Numbers: [85, 4]
Generated Node #0,3,0: 80:[85, 4] Operation: 15-11=4
Exploring Operation: 15+11=26, Resulting Numbers: [85, 26]
Generated Node #0,3,1: 80:[85, 26] Operation: 15+11=26
Exploring Operation: 85-11=74, Resulting Numbers: [15, 74]
Generated Node #0,3,2: 80:[15, 74] Operation: 85-11=74
Exploring Operation: 85-15=70, Resulting Numbers: [11, 70]
Generated Node #0,3,3: 80:[11, 70] Operation: 85-15=70
Moving to Node #0,0
Current State: 80:[85, 78, 82], Operations: ['67+15=82']
Exploring Operation: 85+78=163, Resulting Numbers: [82, 163]
Generated Node #0,0,0: 80:[82, 163] Operation: 85+78=163
Exploring Operation: 85-82=3, Resulting Numbers: [78, 3]
Generated Node #0,0,1: 80:[78, 3] Operation: 85-82=3
Exploring Operation: 82-78=4, Resulting Numbers: [85, 4]
Generated Node #0,0,2: 80:[85, 4] Operation: 82-78=4
Exploring Operation: 85-78=7, Resulting Numbers: [82, 7]
Generated Node #0,0,3: 80:[82, 7] Operation: 85-78=7
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[78, 3], Operations: ['67+15=82', '85-82=3']
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Exploring Operation: 78*3=234, Resulting Numbers: [234]
234,80 unequal: No Solution
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,80 unequal: No Solution
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 80:[82, 7], Operations: ['67+15=82', '85-78=7']
Exploring Operation: 82+7=89, Resulting Numbers: [89]
89,80 unequal: No Solution
Exploring Operation: 82-7=75, Resulting Numbers: [75]
75,80 unequal: No Solution
Exploring Operation: 82*7=574, Resulting Numbers: [574]
574,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 80:[85, 4], Operations: ['67+15=82', '82-78=4']
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,80 unequal: No Solution
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,80 unequal: No Solution
Exploring Operation: 85*4=340, Resulting Numbers: [340]
340,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[82, 163], Operations: ['67+15=82', '85+78=163']
Exploring Operation: 82+163=245, Resulting Numbers: [245]
245,80 unequal: No Solution
Exploring Operation: 82*163=13366, Resulting Numbers: [13366]
13366,80 unequal: No Solution
Exploring Operation: 163-82=81, Resulting Numbers: [81]
81,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 80:[67, 15, 7], Operations: ['85-78=7']
Exploring Operation: 67+15=82, Resulting Numbers: [7, 82]
Generated Node #0,2,0: 80:[7, 82] Operation: 67+15=82
Exploring Operation: 15-7=8, Resulting Numbers: [67, 8]
Generated Node #0,2,1: 80:[67, 8] Operation: 15-7=8
Exploring Operation: 67-15=52, Resulting Numbers: [7, 52]
Generated Node #0,2,2: 80:[7, 52] Operation: 67-15=52
Exploring Operation: 67+7=74, Resulting Numbers: [15, 74]
Generated Node #0,2,3: 80:[15, 74] Operation: 67+7=74
Moving to Node #0,2,0
Current State: 80:[7, 82], Operations: ['85-78=7', '67+15=82']
Exploring Operation: 7+82=89, Resulting Numbers: [89]
89,80 unequal: No Solution
Exploring Operation: 82-7=75, Resulting Numbers: [75]
75,80 unequal: No Solution
Exploring Operation: 7*82=574, Resulting Numbers: [574]
574,80 unequal: No Solution
Moving to Node #0,3,0
Current State: 80:[85, 4], Operations: ['78-67=11', '15-11=4']
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,80 unequal: No Solution
Exploring Operation: 85*4=340, Resulting Numbers: [340]
340,80 unequal: No Solution
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,80 unequal: No Solution
Moving to Node #0,2,3
Current State: 80:[15, 74], Operations: ['85-78=7', '67+7=74']
Exploring Operation: 15*74=1110, Resulting Numbers: [1110]
1110,80 unequal: No Solution
Exploring Operation: 15+74=89, Resulting Numbers: [89]
89,80 unequal: No Solution
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,80 unequal: No Solution
Moving to Node #0,3,2
Current State: 80:[15, 74], Operations: ['78-67=11', '85-11=74']
Exploring Operation: 15*74=1110, Resulting Numbers: [1110]
1110,80 unequal: No Solution
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,80 unequal: No Solution
Exploring Operation: 15+74=89, Resulting Numbers: [89]
89,80 unequal: No Solution
Moving to Node #0,3,1
Current State: 80:[85, 26], Operations: ['78-67=11', '15+11=26']
Exploring Operation: 85+26=111, Resulting Numbers: [111]
111,80 unequal: No Solution
Exploring Operation: 85*26=2210, Resulting Numbers: [2210]
2210,80 unequal: No Solution
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,80 unequal: No Solution
Moving to Node #0,3,3
Current State: 80:[11, 70], Operations: ['78-67=11', '85-15=70']
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,80 unequal: No Solution
Exploring Operation: 11*70=770, Resulting Numbers: [770]
770,80 unequal: No Solution
Exploring Operation: 11+70=81, Resulting Numbers: [81]
81,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[67, 8], Operations: ['85-78=7', '15-7=8']
Exploring Operation: 67+8=75, Resulting Numbers: [75]
75,80 unequal: No Solution
Exploring Operation: 67*8=536, Resulting Numbers: [536]
536,80 unequal: No Solution
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,80 unequal: No Solution
Moving to Node #0,2,2
Current State: 80:[7, 52], Operations: ['85-78=7', '67-15=52']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,80 unequal: No Solution
Exploring Operation: 7*52=364, Resulting Numbers: [364]
364,80 unequal: No Solution
Exploring Operation: 7+52=59, Resulting Numbers: [59]
59,80 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
17,
14,
92,
21
] | 50 | [
"92-17=75",
"14*75=1050",
"1050/21=50"
] | Current State: 50:[17, 14, 92, 21], Operations: []
Exploring Operation: 92-17=75, Resulting Numbers: [14, 21, 75]
Generated Node #2: [14, 21, 75] from Operation: 92-17=75
Current State: 50:[14, 21, 75], Operations: ['92-17=75']
Exploring Operation: 14*75=1050, Resulting Numbers: [21, 1050]
Generated Node #3: [21, 1050] from Operation: 14*75=1050
Current State: 50:[21, 1050], Operations: ['92-17=75', '14*75=1050']
Exploring Operation: 1050/21=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[17, 14, 92, 21], Operations: []
Exploring Operation: 92-21=71, Resulting Numbers: [17, 14, 71]
Generated Node #0,0: 50:[17, 14, 71] Operation: 92-21=71
Exploring Operation: 17-14=3, Resulting Numbers: [92, 21, 3]
Generated Node #0,1: 50:[92, 21, 3] Operation: 17-14=3
Exploring Operation: 92-17=75, Resulting Numbers: [14, 21, 75]
Generated Node #0,2: 50:[14, 21, 75] Operation: 92-17=75
Exploring Operation: 92-14=78, Resulting Numbers: [17, 21, 78]
Generated Node #0,3: 50:[17, 21, 78] Operation: 92-14=78
Moving to Node #0,0
Current State: 50:[17, 14, 71], Operations: ['92-21=71']
Exploring Operation: 71-17=54, Resulting Numbers: [14, 54]
Generated Node #0,0,0: 50:[14, 54] Operation: 71-17=54
Exploring Operation: 17-14=3, Resulting Numbers: [71, 3]
Generated Node #0,0,1: 50:[71, 3] Operation: 17-14=3
Exploring Operation: 17+14=31, Resulting Numbers: [71, 31]
Generated Node #0,0,2: 50:[71, 31] Operation: 17+14=31
Exploring Operation: 71-14=57, Resulting Numbers: [17, 57]
Generated Node #0,0,3: 50:[17, 57] Operation: 71-14=57
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[14, 54], Operations: ['92-21=71', '71-17=54']
Exploring Operation: 14+54=68, Resulting Numbers: [68]
68,50 unequal: No Solution
Exploring Operation: 54-14=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Exploring Operation: 14*54=756, Resulting Numbers: [756]
756,50 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:[17, 57], Operations: ['92-21=71', '71-14=57']
Exploring Operation: 17+57=74, Resulting Numbers: [74]
74,50 unequal: No Solution
Exploring Operation: 17*57=969, Resulting Numbers: [969]
969,50 unequal: No Solution
Exploring Operation: 57-17=40, Resulting Numbers: [40]
40,50 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:[71, 3], Operations: ['92-21=71', '17-14=3']
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,50 unequal: No Solution
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,50 unequal: No Solution
Exploring Operation: 71*3=213, Resulting Numbers: [213]
213,50 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 #0,0,2
Current State: 50:[71, 31], Operations: ['92-21=71', '17+14=31']
Exploring Operation: 71-31=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Exploring Operation: 71*31=2201, Resulting Numbers: [2201]
2201,50 unequal: No Solution
Exploring Operation: 71+31=102, Resulting Numbers: [102]
102,50 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:[14, 21, 75], Operations: ['92-17=75']
Exploring Operation: 75-21=54, Resulting Numbers: [14, 54]
Generated Node #0,2,0: 50:[14, 54] Operation: 75-21=54
Exploring Operation: 14+21=35, Resulting Numbers: [75, 35]
Generated Node #0,2,1: 50:[75, 35] Operation: 14+21=35
Exploring Operation: 21-14=7, Resulting Numbers: [75, 7]
Generated Node #0,2,2: 50:[75, 7] Operation: 21-14=7
Exploring Operation: 75-14=61, Resulting Numbers: [21, 61]
Generated Node #0,2,3: 50:[21, 61] Operation: 75-14=61
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 50:[14, 54], Operations: ['92-17=75', '75-21=54']
Exploring Operation: 14+54=68, Resulting Numbers: [68]
68,50 unequal: No Solution
Exploring Operation: 54-14=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Exploring Operation: 14*54=756, Resulting Numbers: [756]
756,50 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 #0,2,3
Current State: 50:[21, 61], Operations: ['92-17=75', '75-14=61']
Exploring Operation: 21+61=82, Resulting Numbers: [82]
82,50 unequal: No Solution
Exploring Operation: 61-21=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Exploring Operation: 21*61=1281, Resulting Numbers: [1281]
1281,50 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 #0,2,2
Current State: 50:[75, 7], Operations: ['92-17=75', '21-14=7']
Exploring Operation: 75+7=82, Resulting Numbers: [82]
82,50 unequal: No Solution
Exploring Operation: 75*7=525, Resulting Numbers: [525]
525,50 unequal: No Solution
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,50 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 #0,2,1
Current State: 50:[75, 35], Operations: ['92-17=75', '14+21=35']
Exploring Operation: 75+35=110, Resulting Numbers: [110]
110,50 unequal: No Solution
Exploring Operation: 75*35=2625, Resulting Numbers: [2625]
2625,50 unequal: No Solution
Exploring Operation: 75-35=40, Resulting Numbers: [40]
40,50 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: 50:[17, 21, 78], Operations: ['92-14=78']
Exploring Operation: 78-17=61, Resulting Numbers: [21, 61]
Generated Node #0,3,0: 50:[21, 61] Operation: 78-17=61
Exploring Operation: 78-21=57, Resulting Numbers: [17, 57]
Generated Node #0,3,1: 50:[17, 57] Operation: 78-21=57
Exploring Operation: 17+21=38, Resulting Numbers: [78, 38]
Generated Node #0,3,2: 50:[78, 38] Operation: 17+21=38
Exploring Operation: 21-17=4, Resulting Numbers: [78, 4]
Generated Node #0,3,3: 50:[78, 4] Operation: 21-17=4
Moving to Node #0,1
Current State: 50:[92, 21, 3], Operations: ['17-14=3']
Exploring Operation: 21/3=7, Resulting Numbers: [92, 7]
Generated Node #0,1,0: 50:[92, 7] Operation: 21/3=7
Exploring Operation: 92-21=71, Resulting Numbers: [3, 71]
Generated Node #0,1,1: 50:[3, 71] Operation: 92-21=71
Exploring Operation: 21+3=24, Resulting Numbers: [92, 24]
Generated Node #0,1,2: 50:[92, 24] Operation: 21+3=24
Exploring Operation: 92-3=89, Resulting Numbers: [21, 89]
Generated Node #0,1,3: 50:[21, 89] Operation: 92-3=89
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 50:[3, 71], Operations: ['17-14=3', '92-21=71']
Exploring Operation: 3*71=213, Resulting Numbers: [213]
213,50 unequal: No Solution
Exploring Operation: 3+71=74, Resulting Numbers: [74]
74,50 unequal: No Solution
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,50 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 #0,1,2
Current State: 50:[92, 24], Operations: ['17-14=3', '21+3=24']
Exploring Operation: 92-24=68, Resulting Numbers: [68]
68,50 unequal: No Solution
Exploring Operation: 92+24=116, Resulting Numbers: [116]
116,50 unequal: No Solution
Exploring Operation: 92*24=2208, Resulting Numbers: [2208]
2208,50 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 #0,1,3
Current State: 50:[21, 89], Operations: ['17-14=3', '92-3=89']
Exploring Operation: 89-21=68, Resulting Numbers: [68]
68,50 unequal: No Solution
Exploring Operation: 21+89=110, Resulting Numbers: [110]
110,50 unequal: No Solution
Exploring Operation: 21*89=1869, Resulting Numbers: [1869]
1869,50 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 #0,1,0
Current State: 50:[92, 7], Operations: ['17-14=3', '21/3=7']
Exploring Operation: 92*7=644, Resulting Numbers: [644]
644,50 unequal: No Solution
Exploring Operation: 92-7=85, Resulting Numbers: [85]
85,50 unequal: No Solution
Exploring Operation: 92+7=99, Resulting Numbers: [99]
99,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 50:[17, 57], Operations: ['92-14=78', '78-21=57']
Exploring Operation: 57-17=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Exploring Operation: 17*57=969, Resulting Numbers: [969]
969,50 unequal: No Solution
Exploring Operation: 17+57=74, Resulting Numbers: [74]
74,50 unequal: No Solution
Moving to Node #0,3,0
Current State: 50:[21, 61], Operations: ['92-14=78', '78-17=61']
Exploring Operation: 61-21=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Exploring Operation: 21+61=82, Resulting Numbers: [82]
82,50 unequal: No Solution
Exploring Operation: 21*61=1281, Resulting Numbers: [1281]
1281,50 unequal: No Solution
Moving to Node #0,3,3
Current State: 50:[78, 4], Operations: ['92-14=78', '21-17=4']
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,50 unequal: No Solution
Exploring Operation: 78+4=82, Resulting Numbers: [82]
82,50 unequal: No Solution
Exploring Operation: 78*4=312, Resulting Numbers: [312]
312,50 unequal: No Solution
Moving to Node #0,3,2
Current State: 50:[78, 38], Operations: ['92-14=78', '17+21=38']
Exploring Operation: 78-38=40, Resulting Numbers: [40]
40,50 unequal: No Solution
Exploring Operation: 78+38=116, Resulting Numbers: [116]
116,50 unequal: No Solution
Exploring Operation: 78*38=2964, Resulting Numbers: [2964]
2964,50 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
7,
60,
91,
74
] | 50 | [
"7+60=67",
"91-74=17",
"67-17=50"
] | Current State: 50:[7, 60, 91, 74], Operations: []
Exploring Operation: 7+60=67, Resulting Numbers: [91, 74, 67]
Generated Node #2: [91, 74, 67] from Operation: 7+60=67
Current State: 50:[91, 74, 67], Operations: ['7+60=67']
Exploring Operation: 91-74=17, Resulting Numbers: [67, 17]
Generated Node #3: [67, 17] from Operation: 91-74=17
Current State: 50:[67, 17], Operations: ['7+60=67', '91-74=17']
Exploring Operation: 67-17=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[7, 60, 91, 74], Operations: []
Exploring Operation: 91-60=31, Resulting Numbers: [7, 74, 31]
Generated Node #0,0: 50:[7, 74, 31] Operation: 91-60=31
Exploring Operation: 91/7=13, Resulting Numbers: [60, 74, 13]
Generated Node #0,1: 50:[60, 74, 13] Operation: 91/7=13
Exploring Operation: 91-74=17, Resulting Numbers: [7, 60, 17]
Generated Node #0,2: 50:[7, 60, 17] Operation: 91-74=17
Exploring Operation: 74-60=14, Resulting Numbers: [7, 91, 14]
Generated Node #0,3: 50:[7, 91, 14] Operation: 74-60=14
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[7, 60, 17], Operations: ['91-74=17']
Exploring Operation: 60-17=43, Resulting Numbers: [7, 43]
Generated Node #0,2,0: 50:[7, 43] Operation: 60-17=43
Exploring Operation: 60-7=53, Resulting Numbers: [17, 53]
Generated Node #0,2,1: 50:[17, 53] Operation: 60-7=53
Exploring Operation: 7+17=24, Resulting Numbers: [60, 24]
Generated Node #0,2,2: 50:[60, 24] Operation: 7+17=24
Exploring Operation: 17-7=10, Resulting Numbers: [60, 10]
Generated Node #0,2,3: 50:[60, 10] Operation: 17-7=10
Moving to Node #0,2,0
Current State: 50:[7, 43], Operations: ['91-74=17', '60-17=43']
Exploring Operation: 7*43=301, Resulting Numbers: [301]
301,50 unequal: No Solution
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,50 unequal: No Solution
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[7, 60, 91, 74], Operations: []
Exploring Operation: 91-74=17, Resulting Numbers: [7, 60, 17]
Generated Node #0,2: 50:[7, 60, 17] Operation: 91-74=17
Moving to Node #0,2
Current State: 50:[7, 60, 17], Operations: ['91-74=17']
Exploring Operation: 60-17=43, Resulting Numbers: [7, 43]
Generated Node #0,2,0: 50:[7, 43] Operation: 60-17=43
Moving to Node #0,2,0
Current State: 50:[7, 43], Operations: ['91-74=17', '60-17=43']
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
2,
3,
27,
9
] | 39 | [
"27-3=24",
"2*24=48",
"48-9=39"
] | Current State: 39:[2, 3, 27, 9], Operations: []
Exploring Operation: 27-3=24, Resulting Numbers: [2, 9, 24]
Generated Node #2: [2, 9, 24] from Operation: 27-3=24
Current State: 39:[2, 9, 24], Operations: ['27-3=24']
Exploring Operation: 2*24=48, Resulting Numbers: [9, 48]
Generated Node #3: [9, 48] from Operation: 2*24=48
Current State: 39:[9, 48], Operations: ['27-3=24', '2*24=48']
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[2, 3, 27, 9], Operations: []
Exploring Operation: 27-9=18, Resulting Numbers: [2, 3, 18]
Generated Node #0,0: 39:[2, 3, 18] Operation: 27-9=18
Exploring Operation: 27/3=9, Resulting Numbers: [2, 9, 9]
Generated Node #0,1: 39:[2, 9, 9] Operation: 27/3=9
Exploring Operation: 27/9=3, Resulting Numbers: [2, 3, 3]
Generated Node #0,2: 39:[2, 3, 3] Operation: 27/9=3
Exploring Operation: 27+9=36, Resulting Numbers: [2, 3, 36]
Generated Node #0,3: 39:[2, 3, 36] Operation: 27+9=36
Moving to Node #0,2
Current State: 39:[2, 3, 3], Operations: ['27/9=3']
Exploring Operation: 3-2=1, Resulting Numbers: [3, 1]
Generated Node #0,2,0: 39:[3, 1] Operation: 3-2=1
Exploring Operation: 2+3=5, Resulting Numbers: [3, 5]
Generated Node #0,2,1: 39:[3, 5] Operation: 2+3=5
Exploring Operation: 3-2=1, Resulting Numbers: [3, 1]
Generated Node #0,2,2: 39:[3, 1] Operation: 3-2=1
Exploring Operation: 2+3=5, Resulting Numbers: [3, 5]
Generated Node #0,2,3: 39:[3, 5] Operation: 2+3=5
Moving to Node #0,3
Current State: 39:[2, 3, 36], Operations: ['27+9=36']
Exploring Operation: 36/3=12, Resulting Numbers: [2, 12]
Generated Node #0,3,0: 39:[2, 12] Operation: 36/3=12
Exploring Operation: 2+36=38, Resulting Numbers: [3, 38]
Generated Node #0,3,1: 39:[3, 38] Operation: 2+36=38
Exploring Operation: 2+3=5, Resulting Numbers: [36, 5]
Generated Node #0,3,2: 39:[36, 5] Operation: 2+3=5
Exploring Operation: 3+36=39, Resulting Numbers: [2, 39]
Generated Node #0,3,3: 39:[2, 39] Operation: 3+36=39
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 39:[3, 38], Operations: ['27+9=36', '2+36=38']
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,39 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,39 unequal: No Solution
Exploring Operation: 3*38=114, Resulting Numbers: [114]
114,39 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 #0,3,3
Current State: 39:[2, 39], Operations: ['27+9=36', '3+36=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,39 unequal: No Solution
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 2+39=41, Resulting Numbers: [41]
41,39 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 #0,3,0
Current State: 39:[2, 12], Operations: ['27+9=36', '36/3=12']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,39 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,39 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,39 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,39 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 #0,3,2
Current State: 39:[36, 5], Operations: ['27+9=36', '2+3=5']
Exploring Operation: 36*5=180, Resulting Numbers: [180]
180,39 unequal: No Solution
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,39 unequal: No Solution
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 39:[2, 3, 18], Operations: ['27-9=18']
Exploring Operation: 18/2=9, Resulting Numbers: [3, 9]
Generated Node #0,0,0: 39:[3, 9] Operation: 18/2=9
Exploring Operation: 18-3=15, Resulting Numbers: [2, 15]
Generated Node #0,0,1: 39:[2, 15] Operation: 18-3=15
Exploring Operation: 2*18=36, Resulting Numbers: [3, 36]
Generated Node #0,0,2: 39:[3, 36] Operation: 2*18=36
Exploring Operation: 18-2=16, Resulting Numbers: [3, 16]
Generated Node #0,0,3: 39:[3, 16] Operation: 18-2=16
Moving to Node #0,1
Current State: 39:[2, 9, 9], Operations: ['27/3=9']
Exploring Operation: 2+9=11, Resulting Numbers: [9, 11]
Generated Node #0,1,0: 39:[9, 11] Operation: 2+9=11
Exploring Operation: 9-9=0, Resulting Numbers: [2, 0]
Generated Node #0,1,1: 39:[2, 0] Operation: 9-9=0
Exploring Operation: 2+9=11, Resulting Numbers: [9, 11]
Generated Node #0,1,2: 39:[9, 11] Operation: 2+9=11
Exploring Operation: 9/9=1, Resulting Numbers: [2, 1]
Generated Node #0,1,3: 39:[2, 1] Operation: 9/9=1
Moving to Node #0,2,0
Current State: 39:[3, 1], Operations: ['27/9=3', '3-2=1']
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,39 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Moving to Node #0,2,2
Current State: 39:[3, 1], Operations: ['27/9=3', '3-2=1']
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,39 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Moving to Node #0,2,1
Current State: 39:[3, 5], Operations: ['27/9=3', '2+3=5']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Moving to Node #0,2,3
Current State: 39:[3, 5], Operations: ['27/9=3', '2+3=5']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,39 unequal: No Solution
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Moving to Node #0,0,3
Current State: 39:[3, 16], Operations: ['27-9=18', '18-2=16']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,39 unequal: No Solution
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,39 unequal: No Solution
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,39 unequal: No Solution
Moving to Node #0,0,2
Current State: 39:[3, 36], Operations: ['27-9=18', '2*18=36']
Exploring Operation: 3*36=108, Resulting Numbers: [108]
108,39 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,39 unequal: No Solution
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[2, 3, 27, 9], Operations: []
Exploring Operation: 27-9=18, Resulting Numbers: [2, 3, 18]
Generated Node #0,0: 39:[2, 3, 18] Operation: 27-9=18
Moving to Node #0,0
Current State: 39:[2, 3, 18], Operations: ['27-9=18']
Exploring Operation: 2*18=36, Resulting Numbers: [3, 36]
Generated Node #0,0,2: 39:[3, 36] Operation: 2*18=36
Moving to Node #0,0,2
Current State: 39:[3, 36], Operations: ['27-9=18', '2*18=36']
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 0.949653 | hs_4 | sum_heuristic |
[
14,
70,
59,
57
] | 28 | [
"70-14=56",
"59-57=2",
"56/2=28"
] | Current State: 28:[14, 70, 59, 57], Operations: []
Exploring Operation: 70-14=56, Resulting Numbers: [59, 57, 56]
Generated Node #2: [59, 57, 56] from Operation: 70-14=56
Current State: 28:[59, 57, 56], Operations: ['70-14=56']
Exploring Operation: 59-57=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 59-57=2
Current State: 28:[56, 2], Operations: ['70-14=56', '59-57=2']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[14, 70, 59, 57], Operations: []
Exploring Operation: 70-57=13, Resulting Numbers: [14, 59, 13]
Generated Node #0,0: 28:[14, 59, 13] Operation: 70-57=13
Exploring Operation: 59-57=2, Resulting Numbers: [14, 70, 2]
Generated Node #0,1: 28:[14, 70, 2] Operation: 59-57=2
Exploring Operation: 70-59=11, Resulting Numbers: [14, 57, 11]
Generated Node #0,2: 28:[14, 57, 11] Operation: 70-59=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[14, 59, 13], Operations: ['70-57=13']
Exploring Operation: 59-13=46, Resulting Numbers: [14, 46]
Generated Node #0,0,0: 28:[14, 46] Operation: 59-13=46
Exploring Operation: 14+13=27, Resulting Numbers: [59, 27]
Generated Node #0,0,1: 28:[59, 27] Operation: 14+13=27
Exploring Operation: 59-14=45, Resulting Numbers: [13, 45]
Generated Node #0,0,2: 28:[13, 45] Operation: 59-14=45
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 28:[14, 46], Operations: ['70-57=13', '59-13=46']
Exploring Operation: 14*46=644, Resulting Numbers: [644]
644,28 unequal: No Solution
Exploring Operation: 14+46=60, Resulting Numbers: [60]
60,28 unequal: No Solution
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,28 unequal: No Solution
No 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: 28:[13, 45], Operations: ['70-57=13', '59-14=45']
Exploring Operation: 13+45=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 45-13=32, Resulting Numbers: [32]
32,28 unequal: No Solution
Exploring Operation: 13*45=585, Resulting Numbers: [585]
585,28 unequal: No Solution
No 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: 28:[59, 27], Operations: ['70-57=13', '14+13=27']
Exploring Operation: 59*27=1593, Resulting Numbers: [1593]
1593,28 unequal: No Solution
Exploring Operation: 59+27=86, Resulting Numbers: [86]
86,28 unequal: No Solution
Exploring Operation: 59-27=32, Resulting Numbers: [32]
32,28 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: 28:[14, 57, 11], Operations: ['70-59=11']
Exploring Operation: 57-11=46, Resulting Numbers: [14, 46]
Generated Node #0,2,0: 28:[14, 46] Operation: 57-11=46
Exploring Operation: 14-11=3, Resulting Numbers: [57, 3]
Generated Node #0,2,1: 28:[57, 3] Operation: 14-11=3
Exploring Operation: 57-14=43, Resulting Numbers: [11, 43]
Generated Node #0,2,2: 28:[11, 43] Operation: 57-14=43
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 28:[14, 46], Operations: ['70-59=11', '57-11=46']
Exploring Operation: 14*46=644, Resulting Numbers: [644]
644,28 unequal: No Solution
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,28 unequal: No Solution
Exploring Operation: 14+46=60, Resulting Numbers: [60]
60,28 unequal: No Solution
No 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: 28:[11, 43], Operations: ['70-59=11', '57-14=43']
Exploring Operation: 11+43=54, Resulting Numbers: [54]
54,28 unequal: No Solution
Exploring Operation: 11*43=473, Resulting Numbers: [473]
473,28 unequal: No Solution
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,28 unequal: No Solution
No 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: 28:[57, 3], Operations: ['70-59=11', '14-11=3']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,28 unequal: No Solution
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,28 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,28 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: 28:[14, 70, 2], Operations: ['59-57=2']
Exploring Operation: 70-14=56, Resulting Numbers: [2, 56]
Generated Node #0,1,0: 28:[2, 56] Operation: 70-14=56
Exploring Operation: 70/2=35, Resulting Numbers: [14, 35]
Generated Node #0,1,1: 28:[14, 35] Operation: 70/2=35
Exploring Operation: 70/14=5, Resulting Numbers: [2, 5]
Generated Node #0,1,2: 28:[2, 5] Operation: 70/14=5
Moving to Node #0,1,2
Current State: 28:[2, 5], Operations: ['59-57=2', '70/14=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,28 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,28 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,28 unequal: No Solution
Moving to Node #0,1,1
Current State: 28:[14, 35], Operations: ['59-57=2', '70/2=35']
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,28 unequal: No Solution
Exploring Operation: 14+35=49, Resulting Numbers: [49]
49,28 unequal: No Solution
Exploring Operation: 14*35=490, Resulting Numbers: [490]
490,28 unequal: No Solution
Moving to Node #0,1,0
Current State: 28:[2, 56], Operations: ['59-57=2', '70-14=56']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,28 unequal: No Solution
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,28 unequal: No Solution
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[14, 70, 59, 57], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [14, 70, 2]
Generated Node #0,1: 28:[14, 70, 2] Operation: 59-57=2
Moving to Node #0,1
Current State: 28:[14, 70, 2], Operations: ['59-57=2']
Exploring Operation: 70-14=56, Resulting Numbers: [2, 56]
Generated Node #0,1,0: 28:[2, 56] Operation: 70-14=56
Moving to Node #0,1,0
Current State: 28:[2, 56], Operations: ['59-57=2', '70-14=56']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.962674 | hs_3 | sum_heuristic |
[
11,
37,
22,
16
] | 73 | [
"16-11=5",
"22*5=110",
"110-37=73"
] | Current State: 73:[11, 37, 22, 16], Operations: []
Exploring Operation: 16-11=5, Resulting Numbers: [37, 22, 5]
Generated Node #2: [37, 22, 5] from Operation: 16-11=5
Current State: 73:[37, 22, 5], Operations: ['16-11=5']
Exploring Operation: 22*5=110, Resulting Numbers: [37, 110]
Generated Node #3: [37, 110] from Operation: 22*5=110
Current State: 73:[37, 110], Operations: ['16-11=5', '22*5=110']
Exploring Operation: 110-37=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[11, 37, 22, 16], Operations: []
Exploring Operation: 11+16=27, Resulting Numbers: [37, 22, 27]
Generated Node #0,0: 73:[37, 22, 27] Operation: 11+16=27
Exploring Operation: 37+22=59, Resulting Numbers: [11, 16, 59]
Generated Node #0,1: 73:[11, 16, 59] Operation: 37+22=59
Exploring Operation: 11+37=48, Resulting Numbers: [22, 16, 48]
Generated Node #0,2: 73:[22, 16, 48] Operation: 11+37=48
Exploring Operation: 11+22=33, Resulting Numbers: [37, 16, 33]
Generated Node #0,3: 73:[37, 16, 33] Operation: 11+22=33
Moving to Node #0,0
Current State: 73:[37, 22, 27], Operations: ['11+16=27']
Exploring Operation: 37+22=59, Resulting Numbers: [27, 59]
Generated Node #0,0,0: 73:[27, 59] Operation: 37+22=59
Exploring Operation: 37-22=15, Resulting Numbers: [27, 15]
Generated Node #0,0,1: 73:[27, 15] Operation: 37-22=15
Exploring Operation: 37+27=64, Resulting Numbers: [22, 64]
Generated Node #0,0,2: 73:[22, 64] Operation: 37+27=64
Exploring Operation: 22+27=49, Resulting Numbers: [37, 49]
Generated Node #0,0,3: 73:[37, 49] Operation: 22+27=49
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[27, 59], Operations: ['11+16=27', '37+22=59']
Exploring Operation: 59-27=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Exploring Operation: 27+59=86, Resulting Numbers: [86]
86,73 unequal: No Solution
Exploring Operation: 27*59=1593, Resulting Numbers: [1593]
1593,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 73:[22, 64], Operations: ['11+16=27', '37+27=64']
Exploring Operation: 22*64=1408, Resulting Numbers: [1408]
1408,73 unequal: No Solution
Exploring Operation: 22+64=86, Resulting Numbers: [86]
86,73 unequal: No Solution
Exploring Operation: 64-22=42, Resulting Numbers: [42]
42,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 73:[37, 49], Operations: ['11+16=27', '22+27=49']
Exploring Operation: 37+49=86, Resulting Numbers: [86]
86,73 unequal: No Solution
Exploring Operation: 49-37=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 37*49=1813, Resulting Numbers: [1813]
1813,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 73:[27, 15], Operations: ['11+16=27', '37-22=15']
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,73 unequal: No Solution
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,73 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: 73:[22, 16, 48], Operations: ['11+37=48']
Exploring Operation: 22+48=70, Resulting Numbers: [16, 70]
Generated Node #0,2,0: 73:[16, 70] Operation: 22+48=70
Exploring Operation: 22-16=6, Resulting Numbers: [48, 6]
Generated Node #0,2,1: 73:[48, 6] Operation: 22-16=6
Exploring Operation: 22+16=38, Resulting Numbers: [48, 38]
Generated Node #0,2,2: 73:[48, 38] Operation: 22+16=38
Exploring Operation: 16+48=64, Resulting Numbers: [22, 64]
Generated Node #0,2,3: 73:[22, 64] Operation: 16+48=64
Moving to Node #0,1
Current State: 73:[11, 16, 59], Operations: ['37+22=59']
Exploring Operation: 16+59=75, Resulting Numbers: [11, 75]
Generated Node #0,1,0: 73:[11, 75] Operation: 16+59=75
Exploring Operation: 11+59=70, Resulting Numbers: [16, 70]
Generated Node #0,1,1: 73:[16, 70] Operation: 11+59=70
Exploring Operation: 16-11=5, Resulting Numbers: [59, 5]
Generated Node #0,1,2: 73:[59, 5] Operation: 16-11=5
Exploring Operation: 11+16=27, Resulting Numbers: [59, 27]
Generated Node #0,1,3: 73:[59, 27] Operation: 11+16=27
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[16, 70], Operations: ['37+22=59', '11+59=70']
Exploring Operation: 16*70=1120, Resulting Numbers: [1120]
1120,73 unequal: No Solution
Exploring Operation: 70-16=54, Resulting Numbers: [54]
54,73 unequal: No Solution
Exploring Operation: 16+70=86, Resulting Numbers: [86]
86,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 73:[59, 27], Operations: ['37+22=59', '11+16=27']
Exploring Operation: 59*27=1593, Resulting Numbers: [1593]
1593,73 unequal: No Solution
Exploring Operation: 59-27=32, Resulting Numbers: [32]
32,73 unequal: No Solution
Exploring Operation: 59+27=86, Resulting Numbers: [86]
86,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[11, 75], Operations: ['37+22=59', '16+59=75']
Exploring Operation: 11*75=825, Resulting Numbers: [825]
825,73 unequal: No Solution
Exploring Operation: 11+75=86, Resulting Numbers: [86]
86,73 unequal: No Solution
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 73:[59, 5], Operations: ['37+22=59', '16-11=5']
Exploring Operation: 59*5=295, Resulting Numbers: [295]
295,73 unequal: No Solution
Exploring Operation: 59-5=54, Resulting Numbers: [54]
54,73 unequal: No Solution
Exploring Operation: 59+5=64, Resulting Numbers: [64]
64,73 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: 73:[37, 16, 33], Operations: ['11+22=33']
Exploring Operation: 37+16=53, Resulting Numbers: [33, 53]
Generated Node #0,3,0: 73:[33, 53] Operation: 37+16=53
Exploring Operation: 37+33=70, Resulting Numbers: [16, 70]
Generated Node #0,3,1: 73:[16, 70] Operation: 37+33=70
Exploring Operation: 37-16=21, Resulting Numbers: [33, 21]
Generated Node #0,3,2: 73:[33, 21] Operation: 37-16=21
Exploring Operation: 16+33=49, Resulting Numbers: [37, 49]
Generated Node #0,3,3: 73:[37, 49] Operation: 16+33=49
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 73:[33, 53], Operations: ['11+22=33', '37+16=53']
Exploring Operation: 33+53=86, Resulting Numbers: [86]
86,73 unequal: No Solution
Exploring Operation: 33*53=1749, Resulting Numbers: [1749]
1749,73 unequal: No Solution
Exploring Operation: 53-33=20, Resulting Numbers: [20]
20,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 73:[16, 70], Operations: ['11+22=33', '37+33=70']
Exploring Operation: 16*70=1120, Resulting Numbers: [1120]
1120,73 unequal: No Solution
Exploring Operation: 70-16=54, Resulting Numbers: [54]
54,73 unequal: No Solution
Exploring Operation: 16+70=86, Resulting Numbers: [86]
86,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 73:[37, 49], Operations: ['11+22=33', '16+33=49']
Exploring Operation: 37+49=86, Resulting Numbers: [86]
86,73 unequal: No Solution
Exploring Operation: 49-37=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 37*49=1813, Resulting Numbers: [1813]
1813,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 73:[33, 21], Operations: ['11+22=33', '37-16=21']
Exploring Operation: 33-21=12, Resulting Numbers: [12]
12,73 unequal: No Solution
Exploring Operation: 33*21=693, Resulting Numbers: [693]
693,73 unequal: No Solution
Exploring Operation: 33+21=54, Resulting Numbers: [54]
54,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 73:[16, 70], Operations: ['11+37=48', '22+48=70']
Exploring Operation: 70-16=54, Resulting Numbers: [54]
54,73 unequal: No Solution
Exploring Operation: 16*70=1120, Resulting Numbers: [1120]
1120,73 unequal: No Solution
Exploring Operation: 16+70=86, Resulting Numbers: [86]
86,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[22, 64], Operations: ['11+37=48', '16+48=64']
Exploring Operation: 64-22=42, Resulting Numbers: [42]
42,73 unequal: No Solution
Exploring Operation: 22+64=86, Resulting Numbers: [86]
86,73 unequal: No Solution
Exploring Operation: 22*64=1408, Resulting Numbers: [1408]
1408,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[48, 38], Operations: ['11+37=48', '22+16=38']
Exploring Operation: 48-38=10, Resulting Numbers: [10]
10,73 unequal: No Solution
Exploring Operation: 48+38=86, Resulting Numbers: [86]
86,73 unequal: No Solution
Exploring Operation: 48*38=1824, Resulting Numbers: [1824]
1824,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[48, 6], Operations: ['11+37=48', '22-16=6']
Exploring Operation: 48*6=288, Resulting Numbers: [288]
288,73 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,73 unequal: No Solution
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,73 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
40,
9,
93,
17
] | 61 | [
"40+9=49",
"93+17=110",
"110-49=61"
] | Current State: 61:[40, 9, 93, 17], Operations: []
Exploring Operation: 40+9=49, Resulting Numbers: [93, 17, 49]
Generated Node #2: [93, 17, 49] from Operation: 40+9=49
Current State: 61:[93, 17, 49], Operations: ['40+9=49']
Exploring Operation: 93+17=110, Resulting Numbers: [49, 110]
Generated Node #3: [49, 110] from Operation: 93+17=110
Current State: 61:[49, 110], Operations: ['40+9=49', '93+17=110']
Exploring Operation: 110-49=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[40, 9, 93, 17], Operations: []
Exploring Operation: 9+17=26, Resulting Numbers: [40, 93, 26]
Generated Node #0,0: 61:[40, 93, 26] Operation: 9+17=26
Exploring Operation: 93-17=76, Resulting Numbers: [40, 9, 76]
Generated Node #0,1: 61:[40, 9, 76] Operation: 93-17=76
Exploring Operation: 93-9=84, Resulting Numbers: [40, 17, 84]
Generated Node #0,2: 61:[40, 17, 84] Operation: 93-9=84
Exploring Operation: 40+9=49, Resulting Numbers: [93, 17, 49]
Generated Node #0,3: 61:[93, 17, 49] Operation: 40+9=49
Exploring Operation: 40+17=57, Resulting Numbers: [9, 93, 57]
Generated Node #0,4: 61:[9, 93, 57] Operation: 40+17=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[40, 93, 26], Operations: ['9+17=26']
Exploring Operation: 93+26=119, Resulting Numbers: [40, 119]
Generated Node #0,0,0: 61:[40, 119] Operation: 93+26=119
Exploring Operation: 40+26=66, Resulting Numbers: [93, 66]
Generated Node #0,0,1: 61:[93, 66] Operation: 40+26=66
Exploring Operation: 93-26=67, Resulting Numbers: [40, 67]
Generated Node #0,0,2: 61:[40, 67] Operation: 93-26=67
Exploring Operation: 93-40=53, Resulting Numbers: [26, 53]
Generated Node #0,0,3: 61:[26, 53] Operation: 93-40=53
Exploring Operation: 40-26=14, Resulting Numbers: [93, 14]
Generated Node #0,0,4: 61:[93, 14] Operation: 40-26=14
Moving to Node #0,0,2
Current State: 61:[40, 67], Operations: ['9+17=26', '93-26=67']
Exploring Operation: 40+67=107, Resulting Numbers: [107]
107,61 unequal: No Solution
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,61 unequal: No Solution
Exploring Operation: 40*67=2680, Resulting Numbers: [2680]
2680,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[93, 66], Operations: ['9+17=26', '40+26=66']
Exploring Operation: 93+66=159, Resulting Numbers: [159]
159,61 unequal: No Solution
Exploring Operation: 93-66=27, Resulting Numbers: [27]
27,61 unequal: No Solution
Exploring Operation: 93*66=6138, Resulting Numbers: [6138]
6138,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[26, 53], Operations: ['9+17=26', '93-40=53']
Exploring Operation: 53-26=27, Resulting Numbers: [27]
27,61 unequal: No Solution
Exploring Operation: 26+53=79, Resulting Numbers: [79]
79,61 unequal: No Solution
Exploring Operation: 26*53=1378, Resulting Numbers: [1378]
1378,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[40, 119], Operations: ['9+17=26', '93+26=119']
Exploring Operation: 40+119=159, Resulting Numbers: [159]
159,61 unequal: No Solution
Exploring Operation: 40*119=4760, Resulting Numbers: [4760]
4760,61 unequal: No Solution
Exploring Operation: 119-40=79, Resulting Numbers: [79]
79,61 unequal: No Solution
Moving to Node #0,0,4
Current State: 61:[93, 14], Operations: ['9+17=26', '40-26=14']
Exploring Operation: 93-14=79, Resulting Numbers: [79]
79,61 unequal: No Solution
Exploring Operation: 93*14=1302, Resulting Numbers: [1302]
1302,61 unequal: No Solution
Exploring Operation: 93+14=107, Resulting Numbers: [107]
107,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[40, 9, 76], Operations: ['93-17=76']
Exploring Operation: 40-9=31, Resulting Numbers: [76, 31]
Generated Node #0,1,0: 61:[76, 31] Operation: 40-9=31
Exploring Operation: 40+9=49, Resulting Numbers: [76, 49]
Generated Node #0,1,1: 61:[76, 49] Operation: 40+9=49
Exploring Operation: 76-9=67, Resulting Numbers: [40, 67]
Generated Node #0,1,2: 61:[40, 67] Operation: 76-9=67
Exploring Operation: 76-40=36, Resulting Numbers: [9, 36]
Generated Node #0,1,3: 61:[9, 36] Operation: 76-40=36
Exploring Operation: 9+76=85, Resulting Numbers: [40, 85]
Generated Node #0,1,4: 61:[40, 85] Operation: 9+76=85
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 61:[76, 49], Operations: ['93-17=76', '40+9=49']
Exploring Operation: 76-49=27, Resulting Numbers: [27]
27,61 unequal: No Solution
Exploring Operation: 76*49=3724, Resulting Numbers: [3724]
3724,61 unequal: No Solution
Exploring Operation: 76+49=125, Resulting Numbers: [125]
125,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 61:[40, 67], Operations: ['93-17=76', '76-9=67']
Exploring Operation: 40+67=107, Resulting Numbers: [107]
107,61 unequal: No Solution
Exploring Operation: 40*67=2680, Resulting Numbers: [2680]
2680,61 unequal: No Solution
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 61:[76, 31], Operations: ['93-17=76', '40-9=31']
Exploring Operation: 76*31=2356, Resulting Numbers: [2356]
2356,61 unequal: No Solution
Exploring Operation: 76+31=107, Resulting Numbers: [107]
107,61 unequal: No Solution
Exploring Operation: 76-31=45, Resulting Numbers: [45]
45,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 61:[40, 85], Operations: ['93-17=76', '9+76=85']
Exploring Operation: 40+85=125, Resulting Numbers: [125]
125,61 unequal: No Solution
Exploring Operation: 85-40=45, Resulting Numbers: [45]
45,61 unequal: No Solution
Exploring Operation: 40*85=3400, Resulting Numbers: [3400]
3400,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 61:[9, 36], Operations: ['93-17=76', '76-40=36']
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,61 unequal: No Solution
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Exploring Operation: 9*36=324, Resulting Numbers: [324]
324,61 unequal: No Solution
Exploring Operation: 9+36=45, Resulting Numbers: [45]
45,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 61:[40, 17, 84], Operations: ['93-9=84']
Exploring Operation: 84-40=44, Resulting Numbers: [17, 44]
Generated Node #0,2,0: 61:[17, 44] Operation: 84-40=44
Exploring Operation: 84-17=67, Resulting Numbers: [40, 67]
Generated Node #0,2,1: 61:[40, 67] Operation: 84-17=67
Exploring Operation: 40+17=57, Resulting Numbers: [84, 57]
Generated Node #0,2,2: 61:[84, 57] Operation: 40+17=57
Exploring Operation: 17+84=101, Resulting Numbers: [40, 101]
Generated Node #0,2,3: 61:[40, 101] Operation: 17+84=101
Exploring Operation: 40-17=23, Resulting Numbers: [84, 23]
Generated Node #0,2,4: 61:[84, 23] Operation: 40-17=23
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 61:[40, 67], Operations: ['93-9=84', '84-17=67']
Exploring Operation: 67-40=27, Resulting Numbers: [27]
27,61 unequal: No Solution
Exploring Operation: 40+67=107, Resulting Numbers: [107]
107,61 unequal: No Solution
Exploring Operation: 40*67=2680, Resulting Numbers: [2680]
2680,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 61:[84, 57], Operations: ['93-9=84', '40+17=57']
Exploring Operation: 84*57=4788, Resulting Numbers: [4788]
4788,61 unequal: No Solution
Exploring Operation: 84+57=141, Resulting Numbers: [141]
141,61 unequal: No Solution
Exploring Operation: 84-57=27, Resulting Numbers: [27]
27,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 61:[17, 44], Operations: ['93-9=84', '84-40=44']
Exploring Operation: 17*44=748, Resulting Numbers: [748]
748,61 unequal: No Solution
Exploring Operation: 17+44=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[40, 9, 93, 17], Operations: []
Exploring Operation: 93-9=84, Resulting Numbers: [40, 17, 84]
Generated Node #0,2: 61:[40, 17, 84] Operation: 93-9=84
Moving to Node #0,2
Current State: 61:[40, 17, 84], Operations: ['93-9=84']
Exploring Operation: 84-40=44, Resulting Numbers: [17, 44]
Generated Node #0,2,0: 61:[17, 44] Operation: 84-40=44
Moving to Node #0,2,0
Current State: 61:[17, 44], Operations: ['93-9=84', '84-40=44']
Exploring Operation: 17+44=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.945313 | hs_5 | mult_heuristic |
[
96,
25,
58,
95
] | 82 | [
"96-25=71",
"58+95=153",
"153-71=82"
] | Current State: 82:[96, 25, 58, 95], Operations: []
Exploring Operation: 96-25=71, Resulting Numbers: [58, 95, 71]
Generated Node #2: [58, 95, 71] from Operation: 96-25=71
Current State: 82:[58, 95, 71], Operations: ['96-25=71']
Exploring Operation: 58+95=153, Resulting Numbers: [71, 153]
Generated Node #3: [71, 153] from Operation: 58+95=153
Current State: 82:[71, 153], Operations: ['96-25=71', '58+95=153']
Exploring Operation: 153-71=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[96, 25, 58, 95], Operations: []
Exploring Operation: 96-95=1, Resulting Numbers: [25, 58, 1]
Generated Node #0,0: 82:[25, 58, 1] Operation: 96-95=1
Exploring Operation: 96-58=38, Resulting Numbers: [25, 95, 38]
Generated Node #0,1: 82:[25, 95, 38] Operation: 96-58=38
Exploring Operation: 25+58=83, Resulting Numbers: [96, 95, 83]
Generated Node #0,2: 82:[96, 95, 83] Operation: 25+58=83
Start Sub Search at level 1: Moving to Node #0,2
Current State: 82:[96, 95, 83], Operations: ['25+58=83']
Exploring Operation: 95-83=12, Resulting Numbers: [96, 12]
Generated Node #0,2,0: 82:[96, 12] Operation: 95-83=12
Exploring Operation: 96-95=1, Resulting Numbers: [83, 1]
Generated Node #0,2,1: 82:[83, 1] Operation: 96-95=1
Exploring Operation: 96-83=13, Resulting Numbers: [95, 13]
Generated Node #0,2,2: 82:[95, 13] Operation: 96-83=13
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 82:[83, 1], Operations: ['25+58=83', '96-95=1']
Exploring Operation: 83/1=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[96, 25, 58, 95], Operations: []
Exploring Operation: 25+58=83, Resulting Numbers: [96, 95, 83]
Generated Node #0,2: 82:[96, 95, 83] Operation: 25+58=83
Moving to Node #0,2
Current State: 82:[96, 95, 83], Operations: ['25+58=83']
Exploring Operation: 96-95=1, Resulting Numbers: [83, 1]
Generated Node #0,2,1: 82:[83, 1] Operation: 96-95=1
Moving to Node #0,2,1
Current State: 82:[83, 1], Operations: ['25+58=83', '96-95=1']
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
68,
16,
32,
66
] | 80 | [
"68-66=2",
"32*2=64",
"16+64=80"
] | Current State: 80:[68, 16, 32, 66], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [16, 32, 2]
Generated Node #2: [16, 32, 2] from Operation: 68-66=2
Current State: 80:[16, 32, 2], Operations: ['68-66=2']
Exploring Operation: 32*2=64, Resulting Numbers: [16, 64]
Generated Node #3: [16, 64] from Operation: 32*2=64
Current State: 80:[16, 64], Operations: ['68-66=2', '32*2=64']
Exploring Operation: 16+64=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[68, 16, 32, 66], Operations: []
Exploring Operation: 16+66=82, Resulting Numbers: [68, 32, 82]
Generated Node #0,0: 80:[68, 32, 82] Operation: 16+66=82
Exploring Operation: 68-32=36, Resulting Numbers: [16, 66, 36]
Generated Node #0,1: 80:[16, 66, 36] Operation: 68-32=36
Exploring Operation: 68+16=84, Resulting Numbers: [32, 66, 84]
Generated Node #0,2: 80:[32, 66, 84] Operation: 68+16=84
Exploring Operation: 68-66=2, Resulting Numbers: [16, 32, 2]
Generated Node #0,3: 80:[16, 32, 2] Operation: 68-66=2
Exploring Operation: 66-32=34, Resulting Numbers: [68, 16, 34]
Generated Node #0,4: 80:[68, 16, 34] Operation: 66-32=34
Moving to Node #0,3
Current State: 80:[16, 32, 2], Operations: ['68-66=2']
Exploring Operation: 32-16=16, Resulting Numbers: [2, 16]
Generated Node #0,3,0: 80:[2, 16] Operation: 32-16=16
Exploring Operation: 32/16=2, Resulting Numbers: [2, 2]
Generated Node #0,3,1: 80:[2, 2] Operation: 32/16=2
Exploring Operation: 32/2=16, Resulting Numbers: [16, 16]
Generated Node #0,3,2: 80:[16, 16] Operation: 32/2=16
Exploring Operation: 16+32=48, Resulting Numbers: [2, 48]
Generated Node #0,3,3: 80:[2, 48] Operation: 16+32=48
Exploring Operation: 32+2=34, Resulting Numbers: [16, 34]
Generated Node #0,3,4: 80:[16, 34] Operation: 32+2=34
Moving to Node #0,4
Current State: 80:[68, 16, 34], Operations: ['66-32=34']
Exploring Operation: 68-34=34, Resulting Numbers: [16, 34]
Generated Node #0,4,0: 80:[16, 34] Operation: 68-34=34
Exploring Operation: 68/34=2, Resulting Numbers: [16, 2]
Generated Node #0,4,1: 80:[16, 2] Operation: 68/34=2
Exploring Operation: 34-16=18, Resulting Numbers: [68, 18]
Generated Node #0,4,2: 80:[68, 18] Operation: 34-16=18
Exploring Operation: 68+16=84, Resulting Numbers: [34, 84]
Generated Node #0,4,3: 80:[34, 84] Operation: 68+16=84
Exploring Operation: 68-16=52, Resulting Numbers: [34, 52]
Generated Node #0,4,4: 80:[34, 52] Operation: 68-16=52
Moving to Node #0,1
Current State: 80:[16, 66, 36], Operations: ['68-32=36']
Exploring Operation: 66-36=30, Resulting Numbers: [16, 30]
Generated Node #0,1,0: 80:[16, 30] Operation: 66-36=30
Exploring Operation: 66+36=102, Resulting Numbers: [16, 102]
Generated Node #0,1,1: 80:[16, 102] Operation: 66+36=102
Exploring Operation: 16+66=82, Resulting Numbers: [36, 82]
Generated Node #0,1,2: 80:[36, 82] Operation: 16+66=82
Exploring Operation: 36-16=20, Resulting Numbers: [66, 20]
Generated Node #0,1,3: 80:[66, 20] Operation: 36-16=20
Exploring Operation: 66-16=50, Resulting Numbers: [36, 50]
Generated Node #0,1,4: 80:[36, 50] Operation: 66-16=50
Moving to Node #0,0
Current State: 80:[68, 32, 82], Operations: ['16+66=82']
Exploring Operation: 32+82=114, Resulting Numbers: [68, 114]
Generated Node #0,0,0: 80:[68, 114] Operation: 32+82=114
Exploring Operation: 68-32=36, Resulting Numbers: [82, 36]
Generated Node #0,0,1: 80:[82, 36] Operation: 68-32=36
Exploring Operation: 68+32=100, Resulting Numbers: [82, 100]
Generated Node #0,0,2: 80:[82, 100] Operation: 68+32=100
Exploring Operation: 82-32=50, Resulting Numbers: [68, 50]
Generated Node #0,0,3: 80:[68, 50] Operation: 82-32=50
Exploring Operation: 82-68=14, Resulting Numbers: [32, 14]
Generated Node #0,0,4: 80:[32, 14] Operation: 82-68=14
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[82, 36], Operations: ['16+66=82', '68-32=36']
Exploring Operation: 82+36=118, Resulting Numbers: [118]
118,80 unequal: No Solution
Exploring Operation: 82-36=46, Resulting Numbers: [46]
46,80 unequal: No Solution
Exploring Operation: 82*36=2952, Resulting Numbers: [2952]
2952,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 80:[32, 14], Operations: ['16+66=82', '82-68=14']
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,80 unequal: No Solution
Exploring Operation: 32+14=46, Resulting Numbers: [46]
46,80 unequal: No Solution
Exploring Operation: 32*14=448, Resulting Numbers: [448]
448,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 80:[82, 100], Operations: ['16+66=82', '68+32=100']
Exploring Operation: 82*100=8200, Resulting Numbers: [8200]
8200,80 unequal: No Solution
Exploring Operation: 100-82=18, Resulting Numbers: [18]
18,80 unequal: No Solution
Exploring Operation: 82+100=182, Resulting Numbers: [182]
182,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 80:[68, 50], Operations: ['16+66=82', '82-32=50']
Exploring Operation: 68*50=3400, Resulting Numbers: [3400]
3400,80 unequal: No Solution
Exploring Operation: 68-50=18, Resulting Numbers: [18]
18,80 unequal: No Solution
Exploring Operation: 68+50=118, Resulting Numbers: [118]
118,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[68, 114], Operations: ['16+66=82', '32+82=114']
Exploring Operation: 68*114=7752, Resulting Numbers: [7752]
7752,80 unequal: No Solution
Exploring Operation: 114-68=46, Resulting Numbers: [46]
46,80 unequal: No Solution
Exploring Operation: 68+114=182, Resulting Numbers: [182]
182,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 80:[32, 66, 84], Operations: ['68+16=84']
Exploring Operation: 66-32=34, Resulting Numbers: [84, 34]
Generated Node #0,2,0: 80:[84, 34] Operation: 66-32=34
Exploring Operation: 84-66=18, Resulting Numbers: [32, 18]
Generated Node #0,2,1: 80:[32, 18] Operation: 84-66=18
Exploring Operation: 84-32=52, Resulting Numbers: [66, 52]
Generated Node #0,2,2: 80:[66, 52] Operation: 84-32=52
Exploring Operation: 32+84=116, Resulting Numbers: [66, 116]
Generated Node #0,2,3: 80:[66, 116] Operation: 32+84=116
Exploring Operation: 32+66=98, Resulting Numbers: [84, 98]
Generated Node #0,2,4: 80:[84, 98] Operation: 32+66=98
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 80:[84, 34], Operations: ['68+16=84', '66-32=34']
Exploring Operation: 84-34=50, Resulting Numbers: [50]
50,80 unequal: No Solution
Exploring Operation: 84+34=118, Resulting Numbers: [118]
118,80 unequal: No Solution
Exploring Operation: 84*34=2856, Resulting Numbers: [2856]
2856,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 80:[32, 18], Operations: ['68+16=84', '84-66=18']
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Exploring Operation: 32*18=576, Resulting Numbers: [576]
576,80 unequal: No Solution
Exploring Operation: 32+18=50, Resulting Numbers: [50]
50,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 80:[84, 98], Operations: ['68+16=84', '32+66=98']
Exploring Operation: 84+98=182, Resulting Numbers: [182]
182,80 unequal: No Solution
Exploring Operation: 98-84=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Exploring Operation: 84*98=8232, Resulting Numbers: [8232]
8232,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 80:[66, 52], Operations: ['68+16=84', '84-32=52']
Exploring Operation: 66*52=3432, Resulting Numbers: [3432]
3432,80 unequal: No Solution
Exploring Operation: 66+52=118, Resulting Numbers: [118]
118,80 unequal: No Solution
Exploring Operation: 66-52=14, Resulting Numbers: [14]
14,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 80:[66, 116], Operations: ['68+16=84', '32+84=116']
Exploring Operation: 66+116=182, Resulting Numbers: [182]
182,80 unequal: No Solution
Exploring Operation: 116-66=50, Resulting Numbers: [50]
50,80 unequal: No Solution
Exploring Operation: 66*116=7656, Resulting Numbers: [7656]
7656,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 80:[2, 16], Operations: ['68-66=2', '32-16=16']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,80 unequal: No Solution
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,80 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Moving to Node #0,3,2
Current State: 80:[16, 16], Operations: ['68-66=2', '32/2=16']
Exploring Operation: 16+16=32, Resulting Numbers: [32]
32,80 unequal: No Solution
Exploring Operation: 16/16=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 16-16=0, Resulting Numbers: [0]
0,80 unequal: No Solution
Exploring Operation: 16*16=256, Resulting Numbers: [256]
256,80 unequal: No Solution
Moving to Node #0,4,1
Current State: 80:[16, 2], Operations: ['66-32=34', '68/34=2']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,80 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,80 unequal: No Solution
Moving to Node #0,3,1
Current State: 80:[2, 2], Operations: ['68-66=2', '32/16=2']
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,80 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Moving to Node #0,4,0
Current State: 80:[16, 34], Operations: ['66-32=34', '68-34=34']
Exploring Operation: 16*34=544, Resulting Numbers: [544]
544,80 unequal: No Solution
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,80 unequal: No Solution
Exploring Operation: 16+34=50, Resulting Numbers: [50]
50,80 unequal: No Solution
Moving to Node #0,1,2
Current State: 80:[36, 82], Operations: ['68-32=36', '16+66=82']
Exploring Operation: 36+82=118, Resulting Numbers: [118]
118,80 unequal: No Solution
Exploring Operation: 36*82=2952, Resulting Numbers: [2952]
2952,80 unequal: No Solution
Exploring Operation: 82-36=46, Resulting Numbers: [46]
46,80 unequal: No Solution
Moving to Node #0,3,4
Current State: 80:[16, 34], Operations: ['68-66=2', '32+2=34']
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,80 unequal: No Solution
Exploring Operation: 16+34=50, Resulting Numbers: [50]
50,80 unequal: No Solution
Exploring Operation: 16*34=544, Resulting Numbers: [544]
544,80 unequal: No Solution
Moving to Node #0,3,3
Current State: 80:[2, 48], Operations: ['68-66=2', '16+32=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,80 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,80 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,80 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,80 unequal: No Solution
Moving to Node #0,1,0
Current State: 80:[16, 30], Operations: ['68-32=36', '66-36=30']
Exploring Operation: 16+30=46, Resulting Numbers: [46]
46,80 unequal: No Solution
Exploring Operation: 16*30=480, Resulting Numbers: [480]
480,80 unequal: No Solution
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Moving to Node #0,4,3
Current State: 80:[34, 84], Operations: ['66-32=34', '68+16=84']
Exploring Operation: 34+84=118, Resulting Numbers: [118]
118,80 unequal: No Solution
Exploring Operation: 84-34=50, Resulting Numbers: [50]
50,80 unequal: No Solution
Exploring Operation: 34*84=2856, Resulting Numbers: [2856]
2856,80 unequal: No Solution
Moving to Node #0,1,4
Current State: 80:[36, 50], Operations: ['68-32=36', '66-16=50']
Exploring Operation: 50-36=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Exploring Operation: 36+50=86, Resulting Numbers: [86]
86,80 unequal: No Solution
Exploring Operation: 36*50=1800, Resulting Numbers: [1800]
1800,80 unequal: No Solution
Moving to Node #0,1,3
Current State: 80:[66, 20], Operations: ['68-32=36', '36-16=20']
Exploring Operation: 66*20=1320, Resulting Numbers: [1320]
1320,80 unequal: No Solution
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,80 unequal: No Solution
Exploring Operation: 66+20=86, Resulting Numbers: [86]
86,80 unequal: No Solution
Moving to Node #0,4,2
Current State: 80:[68, 18], Operations: ['66-32=34', '34-16=18']
Exploring Operation: 68+18=86, Resulting Numbers: [86]
86,80 unequal: No Solution
Exploring Operation: 68-18=50, Resulting Numbers: [50]
50,80 unequal: No Solution
Exploring Operation: 68*18=1224, Resulting Numbers: [1224]
1224,80 unequal: No Solution
Moving to Node #0,4,4
Current State: 80:[34, 52], Operations: ['66-32=34', '68-16=52']
Exploring Operation: 34*52=1768, Resulting Numbers: [1768]
1768,80 unequal: No Solution
Exploring Operation: 52-34=18, Resulting Numbers: [18]
18,80 unequal: No Solution
Exploring Operation: 34+52=86, Resulting Numbers: [86]
86,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[16, 102], Operations: ['68-32=36', '66+36=102']
Exploring Operation: 16*102=1632, Resulting Numbers: [1632]
1632,80 unequal: No Solution
Exploring Operation: 16+102=118, Resulting Numbers: [118]
118,80 unequal: No Solution
Exploring Operation: 102-16=86, Resulting Numbers: [86]
86,80 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
87,
13,
75,
73
] | 75 | [
"87-13=74",
"74-73=1",
"75*1=75"
] | Current State: 75:[87, 13, 75, 73], Operations: []
Exploring Operation: 87-13=74, Resulting Numbers: [75, 73, 74]
Generated Node #2: [75, 73, 74] from Operation: 87-13=74
Current State: 75:[75, 73, 74], Operations: ['87-13=74']
Exploring Operation: 74-73=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 74-73=1
Current State: 75:[75, 1], Operations: ['87-13=74', '74-73=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[87, 13, 75, 73], Operations: []
Exploring Operation: 87-13=74, Resulting Numbers: [75, 73, 74]
Generated Node #0,0: 75:[75, 73, 74] Operation: 87-13=74
Exploring Operation: 87-73=14, Resulting Numbers: [13, 75, 14]
Generated Node #0,1: 75:[13, 75, 14] Operation: 87-73=14
Moving to Node #0,0
Current State: 75:[75, 73, 74], Operations: ['87-13=74']
Exploring Operation: 74-73=1, Resulting Numbers: [75, 1]
Generated Node #0,0,0: 75:[75, 1] Operation: 74-73=1
Exploring Operation: 75-73=2, Resulting Numbers: [74, 2]
Generated Node #0,0,1: 75:[74, 2] Operation: 75-73=2
Moving to Node #0,1
Current State: 75:[13, 75, 14], Operations: ['87-73=14']
Exploring Operation: 14-13=1, Resulting Numbers: [75, 1]
Generated Node #0,1,0: 75:[75, 1] Operation: 14-13=1
Exploring Operation: 13+14=27, Resulting Numbers: [75, 27]
Generated Node #0,1,1: 75:[75, 27] Operation: 13+14=27
Moving to Node #0,0,0
Current State: 75:[75, 1], Operations: ['87-13=74', '74-73=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[87, 13, 75, 73], Operations: []
Exploring Operation: 87-13=74, Resulting Numbers: [75, 73, 74]
Generated Node #0,0: 75:[75, 73, 74] Operation: 87-13=74
Moving to Node #0,0
Current State: 75:[75, 73, 74], Operations: ['87-13=74']
Exploring Operation: 74-73=1, Resulting Numbers: [75, 1]
Generated Node #0,0,0: 75:[75, 1] Operation: 74-73=1
Moving to Node #0,0,0
Current State: 75:[75, 1], Operations: ['87-13=74', '74-73=1']
Exploring Operation: 75*1=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.990451 | hs_2 | mult_heuristic |
[
13,
65,
96,
85
] | 89 | [
"13+65=78",
"96-85=11",
"78+11=89"
] | Current State: 89:[13, 65, 96, 85], Operations: []
Exploring Operation: 13+65=78, Resulting Numbers: [96, 85, 78]
Generated Node #2: [96, 85, 78] from Operation: 13+65=78
Current State: 89:[96, 85, 78], Operations: ['13+65=78']
Exploring Operation: 96-85=11, Resulting Numbers: [78, 11]
Generated Node #3: [78, 11] from Operation: 96-85=11
Current State: 89:[78, 11], Operations: ['13+65=78', '96-85=11']
Exploring Operation: 78+11=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[13, 65, 96, 85], Operations: []
Exploring Operation: 96-13=83, Resulting Numbers: [65, 85, 83]
Generated Node #0,0: 89:[65, 85, 83] Operation: 96-13=83
Exploring Operation: 13+85=98, Resulting Numbers: [65, 96, 98]
Generated Node #0,1: 89:[65, 96, 98] Operation: 13+85=98
Exploring Operation: 13+65=78, Resulting Numbers: [96, 85, 78]
Generated Node #0,2: 89:[96, 85, 78] Operation: 13+65=78
Moving to Node #0,2
Current State: 89:[96, 85, 78], Operations: ['13+65=78']
Exploring Operation: 85+78=163, Resulting Numbers: [96, 163]
Generated Node #0,2,0: 89:[96, 163] Operation: 85+78=163
Exploring Operation: 96-85=11, Resulting Numbers: [78, 11]
Generated Node #0,2,1: 89:[78, 11] Operation: 96-85=11
Exploring Operation: 96-78=18, Resulting Numbers: [85, 18]
Generated Node #0,2,2: 89:[85, 18] Operation: 96-78=18
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 89:[85, 18], Operations: ['13+65=78', '96-78=18']
Exploring Operation: 85*18=1530, Resulting Numbers: [1530]
1530,89 unequal: No Solution
Exploring Operation: 85-18=67, Resulting Numbers: [67]
67,89 unequal: No Solution
Exploring Operation: 85+18=103, Resulting Numbers: [103]
103,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 89:[96, 163], Operations: ['13+65=78', '85+78=163']
Exploring Operation: 96+163=259, Resulting Numbers: [259]
259,89 unequal: No Solution
Exploring Operation: 163-96=67, Resulting Numbers: [67]
67,89 unequal: No Solution
Exploring Operation: 96*163=15648, Resulting Numbers: [15648]
15648,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 89:[78, 11], Operations: ['13+65=78', '96-85=11']
Exploring Operation: 78*11=858, Resulting Numbers: [858]
858,89 unequal: No Solution
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,89 unequal: No Solution
Exploring Operation: 78+11=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[13, 65, 96, 85], Operations: []
Exploring Operation: 13+65=78, Resulting Numbers: [96, 85, 78]
Generated Node #0,2: 89:[96, 85, 78] Operation: 13+65=78
Moving to Node #0,2
Current State: 89:[96, 85, 78], Operations: ['13+65=78']
Exploring Operation: 96-85=11, Resulting Numbers: [78, 11]
Generated Node #0,2,1: 89:[78, 11] Operation: 96-85=11
Moving to Node #0,2,1
Current State: 89:[78, 11], Operations: ['13+65=78', '96-85=11']
Exploring Operation: 78+11=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_3 | sum_heuristic |
[
67,
8,
4,
66
] | 65 | [
"8/4=2",
"66*2=132",
"132-67=65"
] | Current State: 65:[67, 8, 4, 66], Operations: []
Exploring Operation: 8/4=2, Resulting Numbers: [67, 66, 2]
Generated Node #2: [67, 66, 2] from Operation: 8/4=2
Current State: 65:[67, 66, 2], Operations: ['8/4=2']
Exploring Operation: 66*2=132, Resulting Numbers: [67, 132]
Generated Node #3: [67, 132] from Operation: 66*2=132
Current State: 65:[67, 132], Operations: ['8/4=2', '66*2=132']
Exploring Operation: 132-67=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[67, 8, 4, 66], Operations: []
Exploring Operation: 8-4=4, Resulting Numbers: [67, 66, 4]
Generated Node #0,0: 65:[67, 66, 4] Operation: 8-4=4
Exploring Operation: 8+4=12, Resulting Numbers: [67, 66, 12]
Generated Node #0,1: 65:[67, 66, 12] Operation: 8+4=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[67, 66, 4], Operations: ['8-4=4']
Exploring Operation: 67-66=1, Resulting Numbers: [4, 1]
Generated Node #0,0,0: 65:[4, 1] Operation: 67-66=1
Exploring Operation: 67-4=63, Resulting Numbers: [66, 63]
Generated Node #0,0,1: 65:[66, 63] Operation: 67-4=63
Moving to Node #0,0,1
Current State: 65:[66, 63], Operations: ['8-4=4', '67-4=63']
Exploring Operation: 66-63=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Exploring Operation: 66+63=129, Resulting Numbers: [129]
129,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[4, 1], Operations: ['8-4=4', '67-66=1']
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[67, 66, 12], Operations: ['8+4=12']
Exploring Operation: 67-12=55, Resulting Numbers: [66, 55]
Generated Node #0,1,0: 65:[66, 55] Operation: 67-12=55
Exploring Operation: 67-66=1, Resulting Numbers: [12, 1]
Generated Node #0,1,1: 65:[12, 1] Operation: 67-66=1
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 65:[12, 1], Operations: ['8+4=12', '67-66=1']
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,65 unequal: No Solution
No 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: 65:[66, 55], Operations: ['8+4=12', '67-12=55']
Exploring Operation: 66+55=121, Resulting Numbers: [121]
121,65 unequal: No Solution
Exploring Operation: 66-55=11, Resulting Numbers: [11]
11,65 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 |
[
9,
3,
62,
90
] | 92 | [
"9/3=3",
"90/3=30",
"62+30=92"
] | Current State: 92:[9, 3, 62, 90], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [62, 90, 3]
Generated Node #2: [62, 90, 3] from Operation: 9/3=3
Current State: 92:[62, 90, 3], Operations: ['9/3=3']
Exploring Operation: 90/3=30, Resulting Numbers: [62, 30]
Generated Node #3: [62, 30] from Operation: 90/3=30
Current State: 92:[62, 30], Operations: ['9/3=3', '90/3=30']
Exploring Operation: 62+30=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[9, 3, 62, 90], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [62, 90, 3]
Generated Node #0,0: 92:[62, 90, 3] Operation: 9/3=3
Exploring Operation: 62-9=53, Resulting Numbers: [3, 90, 53]
Generated Node #0,1: 92:[3, 90, 53] Operation: 62-9=53
Exploring Operation: 9-3=6, Resulting Numbers: [62, 90, 6]
Generated Node #0,2: 92:[62, 90, 6] Operation: 9-3=6
Exploring Operation: 90-62=28, Resulting Numbers: [9, 3, 28]
Generated Node #0,3: 92:[9, 3, 28] Operation: 90-62=28
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[3, 90, 53], Operations: ['62-9=53']
Exploring Operation: 3+90=93, Resulting Numbers: [53, 93]
Generated Node #0,1,0: 92:[53, 93] Operation: 3+90=93
Exploring Operation: 90-3=87, Resulting Numbers: [53, 87]
Generated Node #0,1,1: 92:[53, 87] Operation: 90-3=87
Exploring Operation: 90-53=37, Resulting Numbers: [3, 37]
Generated Node #0,1,2: 92:[3, 37] Operation: 90-53=37
Exploring Operation: 53-3=50, Resulting Numbers: [90, 50]
Generated Node #0,1,3: 92:[90, 50] Operation: 53-3=50
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 92:[90, 50], Operations: ['62-9=53', '53-3=50']
Exploring Operation: 90+50=140, Resulting Numbers: [140]
140,92 unequal: No Solution
Exploring Operation: 90-50=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 90*50=4500, Resulting Numbers: [4500]
4500,92 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 #0,1,0
Current State: 92:[53, 93], Operations: ['62-9=53', '3+90=93']
Exploring Operation: 93-53=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 53+93=146, Resulting Numbers: [146]
146,92 unequal: No Solution
Exploring Operation: 53*93=4929, Resulting Numbers: [4929]
4929,92 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:[3, 37], Operations: ['62-9=53', '90-53=37']
Exploring Operation: 3*37=111, Resulting Numbers: [111]
111,92 unequal: No Solution
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,92 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:[53, 87], Operations: ['62-9=53', '90-3=87']
Exploring Operation: 53*87=4611, Resulting Numbers: [4611]
4611,92 unequal: No Solution
Exploring Operation: 53+87=140, Resulting Numbers: [140]
140,92 unequal: No Solution
Exploring Operation: 87-53=34, Resulting Numbers: [34]
34,92 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, 3, 28], Operations: ['90-62=28']
Exploring Operation: 9-3=6, Resulting Numbers: [28, 6]
Generated Node #0,3,0: 92:[28, 6] Operation: 9-3=6
Exploring Operation: 9/3=3, Resulting Numbers: [28, 3]
Generated Node #0,3,1: 92:[28, 3] Operation: 9/3=3
Exploring Operation: 28-3=25, Resulting Numbers: [9, 25]
Generated Node #0,3,2: 92:[9, 25] Operation: 28-3=25
Exploring Operation: 28-9=19, Resulting Numbers: [3, 19]
Generated Node #0,3,3: 92:[3, 19] Operation: 28-9=19
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 92:[3, 19], Operations: ['90-62=28', '28-9=19']
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,92 unequal: No Solution
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,92 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,92 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:[28, 3], Operations: ['90-62=28', '9/3=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,92 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:[28, 6], Operations: ['90-62=28', '9-3=6']
Exploring Operation: 28*6=168, Resulting Numbers: [168]
168,92 unequal: No Solution
Exploring Operation: 28+6=34, Resulting Numbers: [34]
34,92 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,92 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 #0,3,2
Current State: 92:[9, 25], Operations: ['90-62=28', '28-3=25']
Exploring Operation: 9+25=34, Resulting Numbers: [34]
34,92 unequal: No Solution
Exploring Operation: 9*25=225, Resulting Numbers: [225]
225,92 unequal: No Solution
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,92 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:[62, 90, 3], Operations: ['9/3=3']
Exploring Operation: 90+3=93, Resulting Numbers: [62, 93]
Generated Node #0,0,0: 92:[62, 93] Operation: 90+3=93
Exploring Operation: 90-62=28, Resulting Numbers: [3, 28]
Generated Node #0,0,1: 92:[3, 28] Operation: 90-62=28
Exploring Operation: 62+3=65, Resulting Numbers: [90, 65]
Generated Node #0,0,2: 92:[90, 65] Operation: 62+3=65
Exploring Operation: 62-3=59, Resulting Numbers: [90, 59]
Generated Node #0,0,3: 92:[90, 59] Operation: 62-3=59
Moving to Node #0,0,1
Current State: 92:[3, 28], Operations: ['9/3=3', '90-62=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,92 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Moving to Node #0,0,3
Current State: 92:[90, 59], Operations: ['9/3=3', '62-3=59']
Exploring Operation: 90-59=31, Resulting Numbers: [31]
31,92 unequal: No Solution
Exploring Operation: 90+59=149, Resulting Numbers: [149]
149,92 unequal: No Solution
Exploring Operation: 90*59=5310, Resulting Numbers: [5310]
5310,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[62, 93], Operations: ['9/3=3', '90+3=93']
Exploring Operation: 93-62=31, Resulting Numbers: [31]
31,92 unequal: No Solution
Exploring Operation: 62+93=155, Resulting Numbers: [155]
155,92 unequal: No Solution
Exploring Operation: 62*93=5766, Resulting Numbers: [5766]
5766,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[90, 65], Operations: ['9/3=3', '62+3=65']
Exploring Operation: 90-65=25, Resulting Numbers: [25]
25,92 unequal: No Solution
Exploring Operation: 90+65=155, Resulting Numbers: [155]
155,92 unequal: No Solution
Exploring Operation: 90*65=5850, Resulting Numbers: [5850]
5850,92 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
Current State: 92:[62, 90, 6], Operations: ['9-3=6']
Exploring Operation: 62+6=68, Resulting Numbers: [90, 68]
Generated Node #0,2,0: 92:[90, 68] Operation: 62+6=68
Exploring Operation: 90-62=28, Resulting Numbers: [6, 28]
Generated Node #0,2,1: 92:[6, 28] Operation: 90-62=28
Exploring Operation: 90+6=96, Resulting Numbers: [62, 96]
Generated Node #0,2,2: 92:[62, 96] Operation: 90+6=96
Exploring Operation: 62-6=56, Resulting Numbers: [90, 56]
Generated Node #0,2,3: 92:[90, 56] Operation: 62-6=56
Moving to Node #0,2,1
Current State: 92:[6, 28], Operations: ['9-3=6', '90-62=28']
Exploring Operation: 6*28=168, Resulting Numbers: [168]
168,92 unequal: No Solution
Exploring Operation: 6+28=34, Resulting Numbers: [34]
34,92 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,92 unequal: No Solution
Moving to Node #0,2,3
Current State: 92:[90, 56], Operations: ['9-3=6', '62-6=56']
Exploring Operation: 90-56=34, Resulting Numbers: [34]
34,92 unequal: No Solution
Exploring Operation: 90*56=5040, Resulting Numbers: [5040]
5040,92 unequal: No Solution
Exploring Operation: 90+56=146, Resulting Numbers: [146]
146,92 unequal: No Solution
Moving to Node #0,2,2
Current State: 92:[62, 96], Operations: ['9-3=6', '90+6=96']
Exploring Operation: 62*96=5952, Resulting Numbers: [5952]
5952,92 unequal: No Solution
Exploring Operation: 96-62=34, Resulting Numbers: [34]
34,92 unequal: No Solution
Exploring Operation: 62+96=158, Resulting Numbers: [158]
158,92 unequal: No Solution
Moving to Node #0,2,0
Current State: 92:[90, 68], Operations: ['9-3=6', '62+6=68']
Exploring Operation: 90*68=6120, Resulting Numbers: [6120]
6120,92 unequal: No Solution
Exploring Operation: 90+68=158, Resulting Numbers: [158]
158,92 unequal: No Solution
Exploring Operation: 90-68=22, Resulting Numbers: [22]
22,92 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 |
[
38,
89,
4,
99
] | 12 | [
"89-38=51",
"99-51=48",
"48/4=12"
] | Current State: 12:[38, 89, 4, 99], Operations: []
Exploring Operation: 89-38=51, Resulting Numbers: [4, 99, 51]
Generated Node #2: [4, 99, 51] from Operation: 89-38=51
Current State: 12:[4, 99, 51], Operations: ['89-38=51']
Exploring Operation: 99-51=48, Resulting Numbers: [4, 48]
Generated Node #3: [4, 48] from Operation: 99-51=48
Current State: 12:[4, 48], Operations: ['89-38=51', '99-51=48']
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[38, 89, 4, 99], Operations: []
Exploring Operation: 89-38=51, Resulting Numbers: [4, 99, 51]
Generated Node #0,0: 12:[4, 99, 51] Operation: 89-38=51
Exploring Operation: 99-38=61, Resulting Numbers: [89, 4, 61]
Generated Node #0,1: 12:[89, 4, 61] Operation: 99-38=61
Exploring Operation: 99-89=10, Resulting Numbers: [38, 4, 10]
Generated Node #0,2: 12:[38, 4, 10] Operation: 99-89=10
Exploring Operation: 38-4=34, Resulting Numbers: [89, 99, 34]
Generated Node #0,3: 12:[89, 99, 34] Operation: 38-4=34
Exploring Operation: 89-4=85, Resulting Numbers: [38, 99, 85]
Generated Node #0,4: 12:[38, 99, 85] Operation: 89-4=85
Moving to Node #0,2
Current State: 12:[38, 4, 10], Operations: ['99-89=10']
Exploring Operation: 4+10=14, Resulting Numbers: [38, 14]
Generated Node #0,2,0: 12:[38, 14] Operation: 4+10=14
Exploring Operation: 38-4=34, Resulting Numbers: [10, 34]
Generated Node #0,2,1: 12:[10, 34] Operation: 38-4=34
Exploring Operation: 10-4=6, Resulting Numbers: [38, 6]
Generated Node #0,2,2: 12:[38, 6] Operation: 10-4=6
Exploring Operation: 38-10=28, Resulting Numbers: [4, 28]
Generated Node #0,2,3: 12:[4, 28] Operation: 38-10=28
Exploring Operation: 38+4=42, Resulting Numbers: [10, 42]
Generated Node #0,2,4: 12:[10, 42] Operation: 38+4=42
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 12:[4, 28], Operations: ['99-89=10', '38-10=28']
Exploring Operation: 4*28=112, Resulting Numbers: [112]
112,12 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,12 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,12 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 #0,2,1
Current State: 12:[10, 34], Operations: ['99-89=10', '38-4=34']
Exploring Operation: 10*34=340, Resulting Numbers: [340]
340,12 unequal: No Solution
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Exploring Operation: 10+34=44, Resulting Numbers: [44]
44,12 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 #0,2,2
Current State: 12:[38, 6], Operations: ['99-89=10', '10-4=6']
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,12 unequal: No Solution
Exploring Operation: 38*6=228, Resulting Numbers: [228]
228,12 unequal: No Solution
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,12 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 #0,2,0
Current State: 12:[38, 14], Operations: ['99-89=10', '4+10=14']
Exploring Operation: 38*14=532, Resulting Numbers: [532]
532,12 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,12 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 #0,2,4
Current State: 12:[10, 42], Operations: ['99-89=10', '38+4=42']
Exploring Operation: 10*42=420, Resulting Numbers: [420]
420,12 unequal: No Solution
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,12 unequal: No Solution
Exploring Operation: 10+42=52, Resulting Numbers: [52]
52,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 12:[89, 4, 61], Operations: ['99-38=61']
Exploring Operation: 61-4=57, Resulting Numbers: [89, 57]
Generated Node #0,1,0: 12:[89, 57] Operation: 61-4=57
Exploring Operation: 4+61=65, Resulting Numbers: [89, 65]
Generated Node #0,1,1: 12:[89, 65] Operation: 4+61=65
Exploring Operation: 89+4=93, Resulting Numbers: [61, 93]
Generated Node #0,1,2: 12:[61, 93] Operation: 89+4=93
Exploring Operation: 89-61=28, Resulting Numbers: [4, 28]
Generated Node #0,1,3: 12:[4, 28] Operation: 89-61=28
Exploring Operation: 89-4=85, Resulting Numbers: [61, 85]
Generated Node #0,1,4: 12:[61, 85] Operation: 89-4=85
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 12:[4, 28], Operations: ['99-38=61', '89-61=28']
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,12 unequal: No Solution
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,12 unequal: No Solution
Exploring Operation: 4*28=112, Resulting Numbers: [112]
112,12 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 12:[89, 57], Operations: ['99-38=61', '61-4=57']
Exploring Operation: 89-57=32, Resulting Numbers: [32]
32,12 unequal: No Solution
Exploring Operation: 89+57=146, Resulting Numbers: [146]
146,12 unequal: No Solution
Exploring Operation: 89*57=5073, Resulting Numbers: [5073]
5073,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 12:[61, 85], Operations: ['99-38=61', '89-4=85']
Exploring Operation: 61+85=146, Resulting Numbers: [146]
146,12 unequal: No Solution
Exploring Operation: 85-61=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Exploring Operation: 61*85=5185, Resulting Numbers: [5185]
5185,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 12:[89, 65], Operations: ['99-38=61', '4+61=65']
Exploring Operation: 89-65=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Exploring Operation: 89*65=5785, Resulting Numbers: [5785]
5785,12 unequal: No Solution
Exploring Operation: 89+65=154, Resulting Numbers: [154]
154,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 12:[61, 93], Operations: ['99-38=61', '89+4=93']
Exploring Operation: 93-61=32, Resulting Numbers: [32]
32,12 unequal: No Solution
Exploring Operation: 61*93=5673, Resulting Numbers: [5673]
5673,12 unequal: No Solution
Exploring Operation: 61+93=154, Resulting Numbers: [154]
154,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 12:[4, 99, 51], Operations: ['89-38=51']
Exploring Operation: 4+51=55, Resulting Numbers: [99, 55]
Generated Node #0,0,0: 12:[99, 55] Operation: 4+51=55
Exploring Operation: 4+99=103, Resulting Numbers: [51, 103]
Generated Node #0,0,1: 12:[51, 103] Operation: 4+99=103
Exploring Operation: 51-4=47, Resulting Numbers: [99, 47]
Generated Node #0,0,2: 12:[99, 47] Operation: 51-4=47
Exploring Operation: 99-4=95, Resulting Numbers: [51, 95]
Generated Node #0,0,3: 12:[51, 95] Operation: 99-4=95
Exploring Operation: 99-51=48, Resulting Numbers: [4, 48]
Generated Node #0,0,4: 12:[4, 48] Operation: 99-51=48
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 12:[4, 48], Operations: ['89-38=51', '99-51=48']
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[38, 89, 4, 99], Operations: []
Exploring Operation: 89-38=51, Resulting Numbers: [4, 99, 51]
Generated Node #0,0: 12:[4, 99, 51] Operation: 89-38=51
Moving to Node #0,0
Current State: 12:[4, 99, 51], Operations: ['89-38=51']
Exploring Operation: 99-51=48, Resulting Numbers: [4, 48]
Generated Node #0,0,4: 12:[4, 48] Operation: 99-51=48
Moving to Node #0,0,4
Current State: 12:[4, 48], Operations: ['89-38=51', '99-51=48']
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.950521 | hs_5 | sum_heuristic |
[
90,
12,
72,
25
] | 10 | [
"90*12=1080",
"1080/72=15",
"25-15=10"
] | Current State: 10:[90, 12, 72, 25], Operations: []
Exploring Operation: 90*12=1080, Resulting Numbers: [72, 25, 1080]
Generated Node #2: [72, 25, 1080] from Operation: 90*12=1080
Current State: 10:[72, 25, 1080], Operations: ['90*12=1080']
Exploring Operation: 1080/72=15, Resulting Numbers: [25, 15]
Generated Node #3: [25, 15] from Operation: 1080/72=15
Current State: 10:[25, 15], Operations: ['90*12=1080', '1080/72=15']
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[90, 12, 72, 25], Operations: []
Exploring Operation: 90-72=18, Resulting Numbers: [12, 25, 18]
Generated Node #0,0: 10:[12, 25, 18] Operation: 90-72=18
Exploring Operation: 72/12=6, Resulting Numbers: [90, 25, 6]
Generated Node #0,1: 10:[90, 25, 6] Operation: 72/12=6
Moving to Node #0,0
Current State: 10:[12, 25, 18], Operations: ['90-72=18']
Exploring Operation: 25-18=7, Resulting Numbers: [12, 7]
Generated Node #0,0,0: 10:[12, 7] Operation: 25-18=7
Exploring Operation: 25-12=13, Resulting Numbers: [18, 13]
Generated Node #0,0,1: 10:[18, 13] Operation: 25-12=13
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[12, 7], Operations: ['90-72=18', '25-18=7']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,10 unequal: No Solution
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 10:[18, 13], Operations: ['90-72=18', '25-12=13']
Exploring Operation: 18+13=31, Resulting Numbers: [31]
31,10 unequal: No Solution
Exploring Operation: 18-13=5, Resulting Numbers: [5]
5,10 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: 10:[90, 25, 6], Operations: ['72/12=6']
Exploring Operation: 90/6=15, Resulting Numbers: [25, 15]
Generated Node #0,1,0: 10:[25, 15] Operation: 90/6=15
Exploring Operation: 90-25=65, Resulting Numbers: [6, 65]
Generated Node #0,1,1: 10:[6, 65] Operation: 90-25=65
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 10:[25, 15], Operations: ['72/12=6', '90/6=15']
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,10 unequal: No Solution
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[90, 12, 72, 25], Operations: []
Exploring Operation: 72/12=6, Resulting Numbers: [90, 25, 6]
Generated Node #0,1: 10:[90, 25, 6] Operation: 72/12=6
Moving to Node #0,1
Current State: 10:[90, 25, 6], Operations: ['72/12=6']
Exploring Operation: 90/6=15, Resulting Numbers: [25, 15]
Generated Node #0,1,0: 10:[25, 15] Operation: 90/6=15
Moving to Node #0,1,0
Current State: 10:[25, 15], Operations: ['72/12=6', '90/6=15']
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
91,
17,
86,
42
] | 43 | [
"91-86=5",
"17*5=85",
"85-42=43"
] | Current State: 43:[91, 17, 86, 42], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [17, 42, 5]
Generated Node #2: [17, 42, 5] from Operation: 91-86=5
Current State: 43:[17, 42, 5], Operations: ['91-86=5']
Exploring Operation: 17*5=85, Resulting Numbers: [42, 85]
Generated Node #3: [42, 85] from Operation: 17*5=85
Current State: 43:[42, 85], Operations: ['91-86=5', '17*5=85']
Exploring Operation: 85-42=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[91, 17, 86, 42], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [17, 42, 5]
Generated Node #0,0: 43:[17, 42, 5] Operation: 91-86=5
Exploring Operation: 91-17=74, Resulting Numbers: [86, 42, 74]
Generated Node #0,1: 43:[86, 42, 74] Operation: 91-17=74
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[17, 42, 5], Operations: ['91-86=5']
Exploring Operation: 42+5=47, Resulting Numbers: [17, 47]
Generated Node #0,0,0: 43:[17, 47] Operation: 42+5=47
Exploring Operation: 17+5=22, Resulting Numbers: [42, 22]
Generated Node #0,0,1: 43:[42, 22] Operation: 17+5=22
Moving to Node #0,0,1
Current State: 43:[42, 22], Operations: ['91-86=5', '17+5=22']
Exploring Operation: 42+22=64, Resulting Numbers: [64]
64,43 unequal: No Solution
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,43 unequal: No Solution
Moving to Node #0,0,0
Current State: 43:[17, 47], Operations: ['91-86=5', '42+5=47']
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,43 unequal: No Solution
Exploring Operation: 17+47=64, Resulting Numbers: [64]
64,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[86, 42, 74], Operations: ['91-17=74']
Exploring Operation: 86-42=44, Resulting Numbers: [74, 44]
Generated Node #0,1,0: 43:[74, 44] Operation: 86-42=44
Exploring Operation: 86-74=12, Resulting Numbers: [42, 12]
Generated Node #0,1,1: 43:[42, 12] Operation: 86-74=12
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 43:[74, 44], Operations: ['91-17=74', '86-42=44']
Exploring Operation: 74+44=118, Resulting Numbers: [118]
118,43 unequal: No Solution
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 43:[42, 12], Operations: ['91-17=74', '86-74=12']
Exploring Operation: 42+12=54, Resulting Numbers: [54]
54,43 unequal: No Solution
Exploring Operation: 42-12=30, Resulting Numbers: [30]
30,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
45,
55,
86,
42
] | 36 | [
"86-42=44",
"45*44=1980",
"1980/55=36"
] | Current State: 36:[45, 55, 86, 42], Operations: []
Exploring Operation: 86-42=44, Resulting Numbers: [45, 55, 44]
Generated Node #2: [45, 55, 44] from Operation: 86-42=44
Current State: 36:[45, 55, 44], Operations: ['86-42=44']
Exploring Operation: 45*44=1980, Resulting Numbers: [55, 1980]
Generated Node #3: [55, 1980] from Operation: 45*44=1980
Current State: 36:[55, 1980], Operations: ['86-42=44', '45*44=1980']
Exploring Operation: 1980/55=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[45, 55, 86, 42], Operations: []
Exploring Operation: 55-42=13, Resulting Numbers: [45, 86, 13]
Generated Node #0,0: 36:[45, 86, 13] Operation: 55-42=13
Exploring Operation: 86-45=41, Resulting Numbers: [55, 42, 41]
Generated Node #0,1: 36:[55, 42, 41] Operation: 86-45=41
Exploring Operation: 55-45=10, Resulting Numbers: [86, 42, 10]
Generated Node #0,2: 36:[86, 42, 10] Operation: 55-45=10
Exploring Operation: 86-55=31, Resulting Numbers: [45, 42, 31]
Generated Node #0,3: 36:[45, 42, 31] Operation: 86-55=31
Exploring Operation: 86-42=44, Resulting Numbers: [45, 55, 44]
Generated Node #0,4: 36:[45, 55, 44] Operation: 86-42=44
Moving to Node #0,3
Current State: 36:[45, 42, 31], Operations: ['86-55=31']
Exploring Operation: 45+31=76, Resulting Numbers: [42, 76]
Generated Node #0,3,0: 36:[42, 76] Operation: 45+31=76
Exploring Operation: 45-42=3, Resulting Numbers: [31, 3]
Generated Node #0,3,1: 36:[31, 3] Operation: 45-42=3
Exploring Operation: 42+31=73, Resulting Numbers: [45, 73]
Generated Node #0,3,2: 36:[45, 73] Operation: 42+31=73
Exploring Operation: 42-31=11, Resulting Numbers: [45, 11]
Generated Node #0,3,3: 36:[45, 11] Operation: 42-31=11
Exploring Operation: 45-31=14, Resulting Numbers: [42, 14]
Generated Node #0,3,4: 36:[42, 14] Operation: 45-31=14
Moving to Node #0,1
Current State: 36:[55, 42, 41], Operations: ['86-45=41']
Exploring Operation: 42-41=1, Resulting Numbers: [55, 1]
Generated Node #0,1,0: 36:[55, 1] Operation: 42-41=1
Exploring Operation: 55-41=14, Resulting Numbers: [42, 14]
Generated Node #0,1,1: 36:[42, 14] Operation: 55-41=14
Exploring Operation: 55+41=96, Resulting Numbers: [42, 96]
Generated Node #0,1,2: 36:[42, 96] Operation: 55+41=96
Exploring Operation: 55+42=97, Resulting Numbers: [41, 97]
Generated Node #0,1,3: 36:[41, 97] Operation: 55+42=97
Exploring Operation: 55-42=13, Resulting Numbers: [41, 13]
Generated Node #0,1,4: 36:[41, 13] Operation: 55-42=13
Moving to Node #0,4
Current State: 36:[45, 55, 44], Operations: ['86-42=44']
Exploring Operation: 55-44=11, Resulting Numbers: [45, 11]
Generated Node #0,4,0: 36:[45, 11] Operation: 55-44=11
Exploring Operation: 45+44=89, Resulting Numbers: [55, 89]
Generated Node #0,4,1: 36:[55, 89] Operation: 45+44=89
Exploring Operation: 55-45=10, Resulting Numbers: [44, 10]
Generated Node #0,4,2: 36:[44, 10] Operation: 55-45=10
Exploring Operation: 45+55=100, Resulting Numbers: [44, 100]
Generated Node #0,4,3: 36:[44, 100] Operation: 45+55=100
Exploring Operation: 45-44=1, Resulting Numbers: [55, 1]
Generated Node #0,4,4: 36:[55, 1] Operation: 45-44=1
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 36:[44, 10], Operations: ['86-42=44', '55-45=10']
Exploring Operation: 44-10=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Exploring Operation: 44+10=54, Resulting Numbers: [54]
54,36 unequal: No Solution
Exploring Operation: 44*10=440, Resulting Numbers: [440]
440,36 unequal: No Solution
No 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: 36:[45, 11], Operations: ['86-42=44', '55-44=11']
Exploring Operation: 45*11=495, Resulting Numbers: [495]
495,36 unequal: No Solution
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Exploring Operation: 45+11=56, Resulting Numbers: [56]
56,36 unequal: No Solution
No 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: 36:[55, 1], Operations: ['86-42=44', '45-44=1']
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,36 unequal: No Solution
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,36 unequal: No Solution
No 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: 36:[55, 89], Operations: ['86-42=44', '45+44=89']
Exploring Operation: 55+89=144, Resulting Numbers: [144]
144,36 unequal: No Solution
Exploring Operation: 55*89=4895, Resulting Numbers: [4895]
4895,36 unequal: No Solution
Exploring Operation: 89-55=34, Resulting Numbers: [34]
34,36 unequal: No Solution
No 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: 36:[44, 100], Operations: ['86-42=44', '45+55=100']
Exploring Operation: 44+100=144, Resulting Numbers: [144]
144,36 unequal: No Solution
Exploring Operation: 100-44=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Exploring Operation: 44*100=4400, Resulting Numbers: [4400]
4400,36 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: 36:[86, 42, 10], Operations: ['55-45=10']
Exploring Operation: 42+10=52, Resulting Numbers: [86, 52]
Generated Node #0,2,0: 36:[86, 52] Operation: 42+10=52
Exploring Operation: 86+10=96, Resulting Numbers: [42, 96]
Generated Node #0,2,1: 36:[42, 96] Operation: 86+10=96
Exploring Operation: 86-42=44, Resulting Numbers: [10, 44]
Generated Node #0,2,2: 36:[10, 44] Operation: 86-42=44
Exploring Operation: 86-10=76, Resulting Numbers: [42, 76]
Generated Node #0,2,3: 36:[42, 76] Operation: 86-10=76
Exploring Operation: 42-10=32, Resulting Numbers: [86, 32]
Generated Node #0,2,4: 36:[86, 32] Operation: 42-10=32
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 36:[10, 44], Operations: ['55-45=10', '86-42=44']
Exploring Operation: 44-10=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Exploring Operation: 10*44=440, Resulting Numbers: [440]
440,36 unequal: No Solution
Exploring Operation: 10+44=54, Resulting Numbers: [54]
54,36 unequal: No Solution
No 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: 36:[42, 76], Operations: ['55-45=10', '86-10=76']
Exploring Operation: 42*76=3192, Resulting Numbers: [3192]
3192,36 unequal: No Solution
Exploring Operation: 42+76=118, Resulting Numbers: [118]
118,36 unequal: No Solution
Exploring Operation: 76-42=34, Resulting Numbers: [34]
34,36 unequal: No Solution
No 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: 36:[86, 32], Operations: ['55-45=10', '42-10=32']
Exploring Operation: 86+32=118, Resulting Numbers: [118]
118,36 unequal: No Solution
Exploring Operation: 86-32=54, Resulting Numbers: [54]
54,36 unequal: No Solution
Exploring Operation: 86*32=2752, Resulting Numbers: [2752]
2752,36 unequal: No Solution
No 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: 36:[86, 52], Operations: ['55-45=10', '42+10=52']
Exploring Operation: 86+52=138, Resulting Numbers: [138]
138,36 unequal: No Solution
Exploring Operation: 86*52=4472, Resulting Numbers: [4472]
4472,36 unequal: No Solution
Exploring Operation: 86-52=34, Resulting Numbers: [34]
34,36 unequal: No Solution
No 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: 36:[42, 96], Operations: ['55-45=10', '86+10=96']
Exploring Operation: 42+96=138, Resulting Numbers: [138]
138,36 unequal: No Solution
Exploring Operation: 42*96=4032, Resulting Numbers: [4032]
4032,36 unequal: No Solution
Exploring Operation: 96-42=54, Resulting Numbers: [54]
54,36 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: 36:[45, 86, 13], Operations: ['55-42=13']
Exploring Operation: 86+13=99, Resulting Numbers: [45, 99]
Generated Node #0,0,0: 36:[45, 99] Operation: 86+13=99
Exploring Operation: 86-45=41, Resulting Numbers: [13, 41]
Generated Node #0,0,1: 36:[13, 41] Operation: 86-45=41
Exploring Operation: 86-13=73, Resulting Numbers: [45, 73]
Generated Node #0,0,2: 36:[45, 73] Operation: 86-13=73
Exploring Operation: 45-13=32, Resulting Numbers: [86, 32]
Generated Node #0,0,3: 36:[86, 32] Operation: 45-13=32
Exploring Operation: 45+13=58, Resulting Numbers: [86, 58]
Generated Node #0,0,4: 36:[86, 58] Operation: 45+13=58
Moving to Node #0,3,1
Current State: 36:[31, 3], Operations: ['86-55=31', '45-42=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,36 unequal: No Solution
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,36 unequal: No Solution
Moving to Node #0,1,4
Current State: 36:[41, 13], Operations: ['86-45=41', '55-42=13']
Exploring Operation: 41*13=533, Resulting Numbers: [533]
533,36 unequal: No Solution
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,36 unequal: No Solution
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[13, 41], Operations: ['55-42=13', '86-45=41']
Exploring Operation: 13*41=533, Resulting Numbers: [533]
533,36 unequal: No Solution
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,36 unequal: No Solution
Exploring Operation: 13+41=54, Resulting Numbers: [54]
54,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[42, 14], Operations: ['86-45=41', '55-41=14']
Exploring Operation: 42-14=28, Resulting Numbers: [28]
28,36 unequal: No Solution
Exploring Operation: 42/14=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Exploring Operation: 42+14=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Exploring Operation: 42*14=588, Resulting Numbers: [588]
588,36 unequal: No Solution
Moving to Node #0,3,4
Current State: 36:[42, 14], Operations: ['86-55=31', '45-31=14']
Exploring Operation: 42/14=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Exploring Operation: 42*14=588, Resulting Numbers: [588]
588,36 unequal: No Solution
Exploring Operation: 42-14=28, Resulting Numbers: [28]
28,36 unequal: No Solution
Exploring Operation: 42+14=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Moving to Node #0,3,3
Current State: 36:[45, 11], Operations: ['86-55=31', '42-31=11']
Exploring Operation: 45+11=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Exploring Operation: 45*11=495, Resulting Numbers: [495]
495,36 unequal: No Solution
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Moving to Node #0,1,0
Current State: 36:[55, 1], Operations: ['86-45=41', '42-41=1']
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,36 unequal: No Solution
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,36 unequal: No Solution
Moving to Node #0,0,2
Current State: 36:[45, 73], Operations: ['55-42=13', '86-13=73']
Exploring Operation: 45+73=118, Resulting Numbers: [118]
118,36 unequal: No Solution
Exploring Operation: 45*73=3285, Resulting Numbers: [3285]
3285,36 unequal: No Solution
Exploring Operation: 73-45=28, Resulting Numbers: [28]
28,36 unequal: No Solution
Moving to Node #0,3,2
Current State: 36:[45, 73], Operations: ['86-55=31', '42+31=73']
Exploring Operation: 45*73=3285, Resulting Numbers: [3285]
3285,36 unequal: No Solution
Exploring Operation: 73-45=28, Resulting Numbers: [28]
28,36 unequal: No Solution
Exploring Operation: 45+73=118, Resulting Numbers: [118]
118,36 unequal: No Solution
Moving to Node #0,3,0
Current State: 36:[42, 76], Operations: ['86-55=31', '45+31=76']
Exploring Operation: 76-42=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Exploring Operation: 42*76=3192, Resulting Numbers: [3192]
3192,36 unequal: No Solution
Exploring Operation: 42+76=118, Resulting Numbers: [118]
118,36 unequal: No Solution
Moving to Node #0,0,3
Current State: 36:[86, 32], Operations: ['55-42=13', '45-13=32']
Exploring Operation: 86*32=2752, Resulting Numbers: [2752]
2752,36 unequal: No Solution
Exploring Operation: 86-32=54, Resulting Numbers: [54]
54,36 unequal: No Solution
Exploring Operation: 86+32=118, Resulting Numbers: [118]
118,36 unequal: No Solution
Moving to Node #0,1,2
Current State: 36:[42, 96], Operations: ['86-45=41', '55+41=96']
Exploring Operation: 42+96=138, Resulting Numbers: [138]
138,36 unequal: No Solution
Exploring Operation: 42*96=4032, Resulting Numbers: [4032]
4032,36 unequal: No Solution
Exploring Operation: 96-42=54, Resulting Numbers: [54]
54,36 unequal: No Solution
Moving to Node #0,1,3
Current State: 36:[41, 97], Operations: ['86-45=41', '55+42=97']
Exploring Operation: 41*97=3977, Resulting Numbers: [3977]
3977,36 unequal: No Solution
Exploring Operation: 41+97=138, Resulting Numbers: [138]
138,36 unequal: No Solution
Exploring Operation: 97-41=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Moving to Node #0,0,0
Current State: 36:[45, 99], Operations: ['55-42=13', '86+13=99']
Exploring Operation: 45*99=4455, Resulting Numbers: [4455]
4455,36 unequal: No Solution
Exploring Operation: 99-45=54, Resulting Numbers: [54]
54,36 unequal: No Solution
Exploring Operation: 45+99=144, Resulting Numbers: [144]
144,36 unequal: No Solution
Moving to Node #0,0,4
Current State: 36:[86, 58], Operations: ['55-42=13', '45+13=58']
Exploring Operation: 86*58=4988, Resulting Numbers: [4988]
4988,36 unequal: No Solution
Exploring Operation: 86+58=144, Resulting Numbers: [144]
144,36 unequal: No Solution
Exploring Operation: 86-58=28, Resulting Numbers: [28]
28,36 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
70,
27,
28,
13
] | 33 | [
"27-13=14",
"70/14=5",
"28+5=33"
] | Current State: 33:[70, 27, 28, 13], Operations: []
Exploring Operation: 27-13=14, Resulting Numbers: [70, 28, 14]
Generated Node #2: [70, 28, 14] from Operation: 27-13=14
Current State: 33:[70, 28, 14], Operations: ['27-13=14']
Exploring Operation: 70/14=5, Resulting Numbers: [28, 5]
Generated Node #3: [28, 5] from Operation: 70/14=5
Current State: 33:[28, 5], Operations: ['27-13=14', '70/14=5']
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[70, 27, 28, 13], Operations: []
Exploring Operation: 70-28=42, Resulting Numbers: [27, 13, 42]
Generated Node #0,0: 33:[27, 13, 42] Operation: 70-28=42
Exploring Operation: 28-27=1, Resulting Numbers: [70, 13, 1]
Generated Node #0,1: 33:[70, 13, 1] Operation: 28-27=1
Exploring Operation: 70-13=57, Resulting Numbers: [27, 28, 57]
Generated Node #0,2: 33:[27, 28, 57] Operation: 70-13=57
Exploring Operation: 70-27=43, Resulting Numbers: [28, 13, 43]
Generated Node #0,3: 33:[28, 13, 43] Operation: 70-27=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[27, 13, 42], Operations: ['70-28=42']
Exploring Operation: 27-13=14, Resulting Numbers: [42, 14]
Generated Node #0,0,0: 33:[42, 14] Operation: 27-13=14
Exploring Operation: 42-13=29, Resulting Numbers: [27, 29]
Generated Node #0,0,1: 33:[27, 29] Operation: 42-13=29
Exploring Operation: 27+13=40, Resulting Numbers: [42, 40]
Generated Node #0,0,2: 33:[42, 40] Operation: 27+13=40
Exploring Operation: 42-27=15, Resulting Numbers: [13, 15]
Generated Node #0,0,3: 33:[13, 15] Operation: 42-27=15
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 33:[13, 15], Operations: ['70-28=42', '42-27=15']
Exploring Operation: 13+15=28, Resulting Numbers: [28]
28,33 unequal: No Solution
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 13*15=195, Resulting Numbers: [195]
195,33 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 #0,0,1
Current State: 33:[27, 29], Operations: ['70-28=42', '42-13=29']
Exploring Operation: 29-27=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 27+29=56, Resulting Numbers: [56]
56,33 unequal: No Solution
Exploring Operation: 27*29=783, Resulting Numbers: [783]
783,33 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 #0,0,0
Current State: 33:[42, 14], Operations: ['70-28=42', '27-13=14']
Exploring Operation: 42+14=56, Resulting Numbers: [56]
56,33 unequal: No Solution
Exploring Operation: 42/14=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 42*14=588, Resulting Numbers: [588]
588,33 unequal: No Solution
Exploring Operation: 42-14=28, Resulting Numbers: [28]
28,33 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 #0,0,2
Current State: 33:[42, 40], Operations: ['70-28=42', '27+13=40']
Exploring Operation: 42-40=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 42+40=82, Resulting Numbers: [82]
82,33 unequal: No Solution
Exploring Operation: 42*40=1680, Resulting Numbers: [1680]
1680,33 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 #0,3
Current State: 33:[28, 13, 43], Operations: ['70-27=43']
Exploring Operation: 43-28=15, Resulting Numbers: [13, 15]
Generated Node #0,3,0: 33:[13, 15] Operation: 43-28=15
Exploring Operation: 28-13=15, Resulting Numbers: [43, 15]
Generated Node #0,3,1: 33:[43, 15] Operation: 28-13=15
Exploring Operation: 43-13=30, Resulting Numbers: [28, 30]
Generated Node #0,3,2: 33:[28, 30] Operation: 43-13=30
Exploring Operation: 28+13=41, Resulting Numbers: [43, 41]
Generated Node #0,3,3: 33:[43, 41] Operation: 28+13=41
Moving to Node #0,3,0
Current State: 33:[13, 15], Operations: ['70-27=43', '43-28=15']
Exploring Operation: 13+15=28, Resulting Numbers: [28]
28,33 unequal: No Solution
Exploring Operation: 13*15=195, Resulting Numbers: [195]
195,33 unequal: No Solution
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Moving to Node #0,3,2
Current State: 33:[28, 30], Operations: ['70-27=43', '43-13=30']
Exploring Operation: 28+30=58, Resulting Numbers: [58]
58,33 unequal: No Solution
Exploring Operation: 28*30=840, Resulting Numbers: [840]
840,33 unequal: No Solution
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Moving to Node #0,3,1
Current State: 33:[43, 15], Operations: ['70-27=43', '28-13=15']
Exploring Operation: 43-15=28, Resulting Numbers: [28]
28,33 unequal: No Solution
Exploring Operation: 43+15=58, Resulting Numbers: [58]
58,33 unequal: No Solution
Exploring Operation: 43*15=645, Resulting Numbers: [645]
645,33 unequal: No Solution
Moving to Node #0,3,3
Current State: 33:[43, 41], Operations: ['70-27=43', '28+13=41']
Exploring Operation: 43+41=84, Resulting Numbers: [84]
84,33 unequal: No Solution
Exploring Operation: 43-41=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 43*41=1763, Resulting Numbers: [1763]
1763,33 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 #0,2
Current State: 33:[27, 28, 57], Operations: ['70-13=57']
Exploring Operation: 57-27=30, Resulting Numbers: [28, 30]
Generated Node #0,2,0: 33:[28, 30] Operation: 57-27=30
Exploring Operation: 27+28=55, Resulting Numbers: [57, 55]
Generated Node #0,2,1: 33:[57, 55] Operation: 27+28=55
Exploring Operation: 57-28=29, Resulting Numbers: [27, 29]
Generated Node #0,2,2: 33:[27, 29] Operation: 57-28=29
Exploring Operation: 28-27=1, Resulting Numbers: [57, 1]
Generated Node #0,2,3: 33:[57, 1] Operation: 28-27=1
Moving to Node #0,2,0
Current State: 33:[28, 30], Operations: ['70-13=57', '57-27=30']
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 28+30=58, Resulting Numbers: [58]
58,33 unequal: No Solution
Exploring Operation: 28*30=840, Resulting Numbers: [840]
840,33 unequal: No Solution
Moving to Node #0,2,2
Current State: 33:[27, 29], Operations: ['70-13=57', '57-28=29']
Exploring Operation: 27+29=56, Resulting Numbers: [56]
56,33 unequal: No Solution
Exploring Operation: 27*29=783, Resulting Numbers: [783]
783,33 unequal: No Solution
Exploring Operation: 29-27=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Moving to Node #0,2,3
Current State: 33:[57, 1], Operations: ['70-13=57', '28-27=1']
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,33 unequal: No Solution
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,33 unequal: No Solution
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,33 unequal: No Solution
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,33 unequal: No Solution
Moving to Node #0,2,1
Current State: 33:[57, 55], Operations: ['70-13=57', '27+28=55']
Exploring Operation: 57+55=112, Resulting Numbers: [112]
112,33 unequal: No Solution
Exploring Operation: 57*55=3135, Resulting Numbers: [3135]
3135,33 unequal: No Solution
Exploring Operation: 57-55=2, Resulting Numbers: [2]
2,33 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:[70, 13, 1], Operations: ['28-27=1']
Exploring Operation: 13-1=12, Resulting Numbers: [70, 12]
Generated Node #0,1,0: 33:[70, 12] Operation: 13-1=12
Exploring Operation: 70*1=70, Resulting Numbers: [13, 70]
Generated Node #0,1,1: 33:[13, 70] Operation: 70*1=70
Exploring Operation: 70-13=57, Resulting Numbers: [1, 57]
Generated Node #0,1,2: 33:[1, 57] Operation: 70-13=57
Exploring Operation: 70-1=69, Resulting Numbers: [13, 69]
Generated Node #0,1,3: 33:[13, 69] Operation: 70-1=69
Moving to Node #0,1,2
Current State: 33:[1, 57], Operations: ['28-27=1', '70-13=57']
Exploring Operation: 1+57=58, Resulting Numbers: [58]
58,33 unequal: No Solution
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,33 unequal: No Solution
Exploring Operation: 1*57=57, Resulting Numbers: [57]
57,33 unequal: No Solution
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,33 unequal: No Solution
Moving to Node #0,1,3
Current State: 33:[13, 69], Operations: ['28-27=1', '70-1=69']
Exploring Operation: 69-13=56, Resulting Numbers: [56]
56,33 unequal: No Solution
Exploring Operation: 13*69=897, Resulting Numbers: [897]
897,33 unequal: No Solution
Exploring Operation: 13+69=82, Resulting Numbers: [82]
82,33 unequal: No Solution
Moving to Node #0,1,0
Current State: 33:[70, 12], Operations: ['28-27=1', '13-1=12']
Exploring Operation: 70+12=82, Resulting Numbers: [82]
82,33 unequal: No Solution
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,33 unequal: No Solution
Exploring Operation: 70*12=840, Resulting Numbers: [840]
840,33 unequal: No Solution
Moving to Node #0,1,1
Current State: 33:[13, 70], Operations: ['28-27=1', '70*1=70']
Exploring Operation: 13+70=83, Resulting Numbers: [83]
83,33 unequal: No Solution
Exploring Operation: 13*70=910, Resulting Numbers: [910]
910,33 unequal: No Solution
Exploring Operation: 70-13=57, Resulting Numbers: [57]
57,33 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 |
[
85,
87,
29,
50
] | 38 | [
"85-50=35",
"87/29=3",
"35+3=38"
] | Current State: 38:[85, 87, 29, 50], Operations: []
Exploring Operation: 85-50=35, Resulting Numbers: [87, 29, 35]
Generated Node #2: [87, 29, 35] from Operation: 85-50=35
Current State: 38:[87, 29, 35], Operations: ['85-50=35']
Exploring Operation: 87/29=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 87/29=3
Current State: 38:[35, 3], Operations: ['85-50=35', '87/29=3']
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[85, 87, 29, 50], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [29, 50, 2]
Generated Node #0,0: 38:[29, 50, 2] Operation: 87-85=2
Moving to Node #0,0
Current State: 38:[29, 50, 2], Operations: ['87-85=2']
Exploring Operation: 50-29=21, Resulting Numbers: [2, 21]
Generated Node #0,0,0: 38:[2, 21] Operation: 50-29=21
Moving to Node #0,0,0
Current State: 38:[2, 21], Operations: ['87-85=2', '50-29=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,38 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
20,
9,
20,
88
] | 96 | [
"20/20=1",
"9+88=97",
"97-1=96"
] | Current State: 96:[20, 9, 20, 88], Operations: []
Exploring Operation: 20/20=1, Resulting Numbers: [9, 88, 1]
Generated Node #2: [9, 88, 1] from Operation: 20/20=1
Current State: 96:[9, 88, 1], Operations: ['20/20=1']
Exploring Operation: 9+88=97, Resulting Numbers: [1, 97]
Generated Node #3: [1, 97] from Operation: 9+88=97
Current State: 96:[1, 97], Operations: ['20/20=1', '9+88=97']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[20, 9, 20, 88], Operations: []
Exploring Operation: 20/20=1, Resulting Numbers: [9, 88, 1]
Generated Node #0,0: 96:[9, 88, 1] Operation: 20/20=1
Exploring Operation: 9+88=97, Resulting Numbers: [20, 20, 97]
Generated Node #0,1: 96:[20, 20, 97] Operation: 9+88=97
Exploring Operation: 20-20=0, Resulting Numbers: [9, 88, 0]
Generated Node #0,2: 96:[9, 88, 0] Operation: 20-20=0
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[20, 20, 97], Operations: ['9+88=97']
Exploring Operation: 20-20=0, Resulting Numbers: [97, 0]
Generated Node #0,1,0: 96:[97, 0] Operation: 20-20=0
Exploring Operation: 20+20=40, Resulting Numbers: [97, 40]
Generated Node #0,1,1: 96:[97, 40] Operation: 20+20=40
Exploring Operation: 20/20=1, Resulting Numbers: [97, 1]
Generated Node #0,1,2: 96:[97, 1] Operation: 20/20=1
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 96:[97, 1], Operations: ['9+88=97', '20/20=1']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[20, 9, 20, 88], Operations: []
Exploring Operation: 9+88=97, Resulting Numbers: [20, 20, 97]
Generated Node #0,1: 96:[20, 20, 97] Operation: 9+88=97
Moving to Node #0,1
Current State: 96:[20, 20, 97], Operations: ['9+88=97']
Exploring Operation: 20/20=1, Resulting Numbers: [97, 1]
Generated Node #0,1,2: 96:[97, 1] Operation: 20/20=1
Moving to Node #0,1,2
Current State: 96:[97, 1], Operations: ['9+88=97', '20/20=1']
Exploring Operation: 97-1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
3,
68,
93,
78
] | 23 | [
"93-78=15",
"3*15=45",
"68-45=23"
] | Current State: 23:[3, 68, 93, 78], Operations: []
Exploring Operation: 93-78=15, Resulting Numbers: [3, 68, 15]
Generated Node #2: [3, 68, 15] from Operation: 93-78=15
Current State: 23:[3, 68, 15], Operations: ['93-78=15']
Exploring Operation: 3*15=45, Resulting Numbers: [68, 45]
Generated Node #3: [68, 45] from Operation: 3*15=45
Current State: 23:[68, 45], Operations: ['93-78=15', '3*15=45']
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[3, 68, 93, 78], Operations: []
Exploring Operation: 93-78=15, Resulting Numbers: [3, 68, 15]
Generated Node #0,0: 23:[3, 68, 15] Operation: 93-78=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[3, 68, 15], Operations: ['93-78=15']
Exploring Operation: 68-3=65, Resulting Numbers: [15, 65]
Generated Node #0,0,0: 23:[15, 65] Operation: 68-3=65
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 23:[15, 65], Operations: ['93-78=15', '68-3=65']
Exploring Operation: 65-15=50, Resulting Numbers: [50]
50,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
72,
62,
45,
42
] | 86 | [
"45-42=3",
"72/3=24",
"62+24=86"
] | Current State: 86:[72, 62, 45, 42], Operations: []
Exploring Operation: 45-42=3, Resulting Numbers: [72, 62, 3]
Generated Node #2: [72, 62, 3] from Operation: 45-42=3
Current State: 86:[72, 62, 3], Operations: ['45-42=3']
Exploring Operation: 72/3=24, Resulting Numbers: [62, 24]
Generated Node #3: [62, 24] from Operation: 72/3=24
Current State: 86:[62, 24], Operations: ['45-42=3', '72/3=24']
Exploring Operation: 62+24=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[72, 62, 45, 42], Operations: []
Exploring Operation: 62-45=17, Resulting Numbers: [72, 42, 17]
Generated Node #0,0: 86:[72, 42, 17] Operation: 62-45=17
Exploring Operation: 72-62=10, Resulting Numbers: [45, 42, 10]
Generated Node #0,1: 86:[45, 42, 10] Operation: 72-62=10
Moving to Node #0,1
Current State: 86:[45, 42, 10], Operations: ['72-62=10']
Exploring Operation: 45-42=3, Resulting Numbers: [10, 3]
Generated Node #0,1,0: 86:[10, 3] Operation: 45-42=3
Exploring Operation: 45+42=87, Resulting Numbers: [10, 87]
Generated Node #0,1,1: 86:[10, 87] Operation: 45+42=87
Moving to Node #0,0
Current State: 86:[72, 42, 17], Operations: ['62-45=17']
Exploring Operation: 72-17=55, Resulting Numbers: [42, 55]
Generated Node #0,0,0: 86:[42, 55] Operation: 72-17=55
Exploring Operation: 72+17=89, Resulting Numbers: [42, 89]
Generated Node #0,0,1: 86:[42, 89] Operation: 72+17=89
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 86:[42, 89], Operations: ['62-45=17', '72+17=89']
Exploring Operation: 89-42=47, Resulting Numbers: [47]
47,86 unequal: No Solution
Exploring Operation: 42+89=131, Resulting Numbers: [131]
131,86 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:[42, 55], Operations: ['62-45=17', '72-17=55']
Exploring Operation: 55-42=13, Resulting Numbers: [13]
13,86 unequal: No Solution
Exploring Operation: 42+55=97, Resulting Numbers: [97]
97,86 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: 86:[10, 3], Operations: ['72-62=10', '45-42=3']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,86 unequal: No Solution
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[10, 87], Operations: ['72-62=10', '45+42=87']
Exploring Operation: 10+87=97, Resulting Numbers: [97]
97,86 unequal: No Solution
Exploring Operation: 87-10=77, Resulting Numbers: [77]
77,86 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
22,
81,
15,
61
] | 27 | [
"22+81=103",
"15+61=76",
"103-76=27"
] | Current State: 27:[22, 81, 15, 61], Operations: []
Exploring Operation: 22+81=103, Resulting Numbers: [15, 61, 103]
Generated Node #2: [15, 61, 103] from Operation: 22+81=103
Current State: 27:[15, 61, 103], Operations: ['22+81=103']
Exploring Operation: 15+61=76, Resulting Numbers: [103, 76]
Generated Node #3: [103, 76] from Operation: 15+61=76
Current State: 27:[103, 76], Operations: ['22+81=103', '15+61=76']
Exploring Operation: 103-76=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[22, 81, 15, 61], Operations: []
Exploring Operation: 61-22=39, Resulting Numbers: [81, 15, 39]
Generated Node #0,0: 27:[81, 15, 39] Operation: 61-22=39
Exploring Operation: 61-15=46, Resulting Numbers: [22, 81, 46]
Generated Node #0,1: 27:[22, 81, 46] Operation: 61-15=46
Exploring Operation: 81-61=20, Resulting Numbers: [22, 15, 20]
Generated Node #0,2: 27:[22, 15, 20] Operation: 81-61=20
Exploring Operation: 81-15=66, Resulting Numbers: [22, 61, 66]
Generated Node #0,3: 27:[22, 61, 66] Operation: 81-15=66
Exploring Operation: 81-22=59, Resulting Numbers: [15, 61, 59]
Generated Node #0,4: 27:[15, 61, 59] Operation: 81-22=59
Moving to Node #0,2
Current State: 27:[22, 15, 20], Operations: ['81-61=20']
Exploring Operation: 20-15=5, Resulting Numbers: [22, 5]
Generated Node #0,2,0: 27:[22, 5] Operation: 20-15=5
Exploring Operation: 22-15=7, Resulting Numbers: [20, 7]
Generated Node #0,2,1: 27:[20, 7] Operation: 22-15=7
Exploring Operation: 22+15=37, Resulting Numbers: [20, 37]
Generated Node #0,2,2: 27:[20, 37] Operation: 22+15=37
Exploring Operation: 15+20=35, Resulting Numbers: [22, 35]
Generated Node #0,2,3: 27:[22, 35] Operation: 15+20=35
Exploring Operation: 22-20=2, Resulting Numbers: [15, 2]
Generated Node #0,2,4: 27:[15, 2] Operation: 22-20=2
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 27:[22, 5], Operations: ['81-61=20', '20-15=5']
Exploring Operation: 22*5=110, Resulting Numbers: [110]
110,27 unequal: No Solution
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,27 unequal: No Solution
Exploring Operation: 22+5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[22, 81, 15, 61], Operations: []
Exploring Operation: 81-61=20, Resulting Numbers: [22, 15, 20]
Generated Node #0,2: 27:[22, 15, 20] Operation: 81-61=20
Moving to Node #0,2
Current State: 27:[22, 15, 20], Operations: ['81-61=20']
Exploring Operation: 20-15=5, Resulting Numbers: [22, 5]
Generated Node #0,2,0: 27:[22, 5] Operation: 20-15=5
Moving to Node #0,2,0
Current State: 27:[22, 5], Operations: ['81-61=20', '20-15=5']
Exploring Operation: 22+5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
34,
38,
2,
14
] | 78 | [
"34-14=20",
"2*20=40",
"38+40=78"
] | Current State: 78:[34, 38, 2, 14], Operations: []
Exploring Operation: 34-14=20, Resulting Numbers: [38, 2, 20]
Generated Node #2: [38, 2, 20] from Operation: 34-14=20
Current State: 78:[38, 2, 20], Operations: ['34-14=20']
Exploring Operation: 2*20=40, Resulting Numbers: [38, 40]
Generated Node #3: [38, 40] from Operation: 2*20=40
Current State: 78:[38, 40], Operations: ['34-14=20', '2*20=40']
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[34, 38, 2, 14], Operations: []
Exploring Operation: 34+38=72, Resulting Numbers: [2, 14, 72]
Generated Node #0,0: 78:[2, 14, 72] Operation: 34+38=72
Exploring Operation: 34-14=20, Resulting Numbers: [38, 2, 20]
Generated Node #0,1: 78:[38, 2, 20] Operation: 34-14=20
Exploring Operation: 34/2=17, Resulting Numbers: [38, 14, 17]
Generated Node #0,2: 78:[38, 14, 17] Operation: 34/2=17
Exploring Operation: 38-34=4, Resulting Numbers: [2, 14, 4]
Generated Node #0,3: 78:[2, 14, 4] Operation: 38-34=4
Exploring Operation: 34+2=36, Resulting Numbers: [38, 14, 36]
Generated Node #0,4: 78:[38, 14, 36] Operation: 34+2=36
Moving to Node #0,3
Current State: 78:[2, 14, 4], Operations: ['38-34=4']
Exploring Operation: 4/2=2, Resulting Numbers: [14, 2]
Generated Node #0,3,0: 78:[14, 2] Operation: 4/2=2
Exploring Operation: 14-2=12, Resulting Numbers: [4, 12]
Generated Node #0,3,1: 78:[4, 12] Operation: 14-2=12
Exploring Operation: 4-2=2, Resulting Numbers: [14, 2]
Generated Node #0,3,2: 78:[14, 2] Operation: 4-2=2
Exploring Operation: 2+4=6, Resulting Numbers: [14, 6]
Generated Node #0,3,3: 78:[14, 6] Operation: 2+4=6
Exploring Operation: 14/2=7, Resulting Numbers: [4, 7]
Generated Node #0,3,4: 78:[4, 7] Operation: 14/2=7
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 78:[14, 2], Operations: ['38-34=4', '4/2=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,78 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,78 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 78:[14, 2], Operations: ['38-34=4', '4-2=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,78 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,78 unequal: No Solution
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,78 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 78:[14, 6], Operations: ['38-34=4', '2+4=6']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,78 unequal: No Solution
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,78 unequal: No Solution
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 78:[4, 12], Operations: ['38-34=4', '14-2=12']
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,78 unequal: No Solution
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,78 unequal: No Solution
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,78 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 78:[4, 7], Operations: ['38-34=4', '14/2=7']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,78 unequal: No Solution
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,78 unequal: No Solution
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,78 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: 78:[38, 14, 36], Operations: ['34+2=36']
Exploring Operation: 38+36=74, Resulting Numbers: [14, 74]
Generated Node #0,4,0: 78:[14, 74] Operation: 38+36=74
Exploring Operation: 14+36=50, Resulting Numbers: [38, 50]
Generated Node #0,4,1: 78:[38, 50] Operation: 14+36=50
Exploring Operation: 38-14=24, Resulting Numbers: [36, 24]
Generated Node #0,4,2: 78:[36, 24] Operation: 38-14=24
Exploring Operation: 36-14=22, Resulting Numbers: [38, 22]
Generated Node #0,4,3: 78:[38, 22] Operation: 36-14=22
Exploring Operation: 38-36=2, Resulting Numbers: [14, 2]
Generated Node #0,4,4: 78:[14, 2] Operation: 38-36=2
Moving to Node #0,2
Current State: 78:[38, 14, 17], Operations: ['34/2=17']
Exploring Operation: 14+17=31, Resulting Numbers: [38, 31]
Generated Node #0,2,0: 78:[38, 31] Operation: 14+17=31
Exploring Operation: 17-14=3, Resulting Numbers: [38, 3]
Generated Node #0,2,1: 78:[38, 3] Operation: 17-14=3
Exploring Operation: 38-14=24, Resulting Numbers: [17, 24]
Generated Node #0,2,2: 78:[17, 24] Operation: 38-14=24
Exploring Operation: 38+14=52, Resulting Numbers: [17, 52]
Generated Node #0,2,3: 78:[17, 52] Operation: 38+14=52
Exploring Operation: 38-17=21, Resulting Numbers: [14, 21]
Generated Node #0,2,4: 78:[14, 21] Operation: 38-17=21
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 78:[38, 3], Operations: ['34/2=17', '17-14=3']
Exploring Operation: 38*3=114, Resulting Numbers: [114]
114,78 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,78 unequal: No Solution
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,78 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 #0,2,0
Current State: 78:[38, 31], Operations: ['34/2=17', '14+17=31']
Exploring Operation: 38-31=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Exploring Operation: 38*31=1178, Resulting Numbers: [1178]
1178,78 unequal: No Solution
Exploring Operation: 38+31=69, Resulting Numbers: [69]
69,78 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 #0,2,2
Current State: 78:[17, 24], Operations: ['34/2=17', '38-14=24']
Exploring Operation: 17+24=41, Resulting Numbers: [41]
41,78 unequal: No Solution
Exploring Operation: 24-17=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Exploring Operation: 17*24=408, Resulting Numbers: [408]
408,78 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 #0,2,4
Current State: 78:[14, 21], Operations: ['34/2=17', '38-17=21']
Exploring Operation: 14+21=35, Resulting Numbers: [35]
35,78 unequal: No Solution
Exploring Operation: 14*21=294, Resulting Numbers: [294]
294,78 unequal: No Solution
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,78 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 #0,2,3
Current State: 78:[17, 52], Operations: ['34/2=17', '38+14=52']
Exploring Operation: 17*52=884, Resulting Numbers: [884]
884,78 unequal: No Solution
Exploring Operation: 17+52=69, Resulting Numbers: [69]
69,78 unequal: No Solution
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,78 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:[2, 14, 72], Operations: ['34+38=72']
Exploring Operation: 14/2=7, Resulting Numbers: [72, 7]
Generated Node #0,0,0: 78:[72, 7] Operation: 14/2=7
Exploring Operation: 14-2=12, Resulting Numbers: [72, 12]
Generated Node #0,0,1: 78:[72, 12] Operation: 14-2=12
Exploring Operation: 2*14=28, Resulting Numbers: [72, 28]
Generated Node #0,0,2: 78:[72, 28] Operation: 2*14=28
Exploring Operation: 2+72=74, Resulting Numbers: [14, 74]
Generated Node #0,0,3: 78:[14, 74] Operation: 2+72=74
Exploring Operation: 72/2=36, Resulting Numbers: [14, 36]
Generated Node #0,0,4: 78:[14, 36] Operation: 72/2=36
Moving to Node #0,1
Current State: 78:[38, 2, 20], Operations: ['34-14=20']
Exploring Operation: 38-20=18, Resulting Numbers: [2, 18]
Generated Node #0,1,0: 78:[2, 18] Operation: 38-20=18
Exploring Operation: 20-2=18, Resulting Numbers: [38, 18]
Generated Node #0,1,1: 78:[38, 18] Operation: 20-2=18
Exploring Operation: 20/2=10, Resulting Numbers: [38, 10]
Generated Node #0,1,2: 78:[38, 10] Operation: 20/2=10
Exploring Operation: 2+20=22, Resulting Numbers: [38, 22]
Generated Node #0,1,3: 78:[38, 22] Operation: 2+20=22
Exploring Operation: 2*20=40, Resulting Numbers: [38, 40]
Generated Node #0,1,4: 78:[38, 40] Operation: 2*20=40
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 78:[38, 40], Operations: ['34-14=20', '2*20=40']
Exploring Operation: 40-38=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[34, 38, 2, 14], Operations: []
Exploring Operation: 34-14=20, Resulting Numbers: [38, 2, 20]
Generated Node #0,1: 78:[38, 2, 20] Operation: 34-14=20
Moving to Node #0,1
Current State: 78:[38, 2, 20], Operations: ['34-14=20']
Exploring Operation: 2*20=40, Resulting Numbers: [38, 40]
Generated Node #0,1,4: 78:[38, 40] Operation: 2*20=40
Moving to Node #0,1,4
Current State: 78:[38, 40], Operations: ['34-14=20', '2*20=40']
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.940104 | hs_5 | sum_heuristic |
[
28,
6,
26,
33
] | 95 | [
"28+33=61",
"6*26=156",
"156-61=95"
] | Current State: 95:[28, 6, 26, 33], Operations: []
Exploring Operation: 28+33=61, Resulting Numbers: [6, 26, 61]
Generated Node #2: [6, 26, 61] from Operation: 28+33=61
Current State: 95:[6, 26, 61], Operations: ['28+33=61']
Exploring Operation: 6*26=156, Resulting Numbers: [61, 156]
Generated Node #3: [61, 156] from Operation: 6*26=156
Current State: 95:[61, 156], Operations: ['28+33=61', '6*26=156']
Exploring Operation: 156-61=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[28, 6, 26, 33], Operations: []
Exploring Operation: 33-28=5, Resulting Numbers: [6, 26, 5]
Generated Node #0,0: 95:[6, 26, 5] Operation: 33-28=5
Exploring Operation: 28-6=22, Resulting Numbers: [26, 33, 22]
Generated Node #0,1: 95:[26, 33, 22] Operation: 28-6=22
Exploring Operation: 33-26=7, Resulting Numbers: [28, 6, 7]
Generated Node #0,2: 95:[28, 6, 7] Operation: 33-26=7
Exploring Operation: 28-26=2, Resulting Numbers: [6, 33, 2]
Generated Node #0,3: 95:[6, 33, 2] Operation: 28-26=2
Moving to Node #0,0
Current State: 95:[6, 26, 5], Operations: ['33-28=5']
Exploring Operation: 6+26=32, Resulting Numbers: [5, 32]
Generated Node #0,0,0: 95:[5, 32] Operation: 6+26=32
Exploring Operation: 6-5=1, Resulting Numbers: [26, 1]
Generated Node #0,0,1: 95:[26, 1] Operation: 6-5=1
Exploring Operation: 26-6=20, Resulting Numbers: [5, 20]
Generated Node #0,0,2: 95:[5, 20] Operation: 26-6=20
Exploring Operation: 26-5=21, Resulting Numbers: [6, 21]
Generated Node #0,0,3: 95:[6, 21] Operation: 26-5=21
Moving to Node #0,2
Current State: 95:[28, 6, 7], Operations: ['33-26=7']
Exploring Operation: 28-6=22, Resulting Numbers: [7, 22]
Generated Node #0,2,0: 95:[7, 22] Operation: 28-6=22
Exploring Operation: 28/7=4, Resulting Numbers: [6, 4]
Generated Node #0,2,1: 95:[6, 4] Operation: 28/7=4
Exploring Operation: 28-7=21, Resulting Numbers: [6, 21]
Generated Node #0,2,2: 95:[6, 21] Operation: 28-7=21
Exploring Operation: 7-6=1, Resulting Numbers: [28, 1]
Generated Node #0,2,3: 95:[28, 1] Operation: 7-6=1
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 95:[6, 4], Operations: ['33-26=7', '28/7=4']
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,95 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,95 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:[6, 21], Operations: ['33-26=7', '28-7=21']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 6*21=126, Resulting Numbers: [126]
126,95 unequal: No Solution
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,95 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 #0,2,0
Current State: 95:[7, 22], Operations: ['33-26=7', '28-6=22']
Exploring Operation: 7*22=154, Resulting Numbers: [154]
154,95 unequal: No Solution
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,95 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 #0,2,3
Current State: 95:[28, 1], Operations: ['33-26=7', '7-6=1']
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Exploring Operation: 28*1=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,95 unequal: No Solution
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,95 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: 95:[6, 33, 2], Operations: ['28-26=2']
Exploring Operation: 33-6=27, Resulting Numbers: [2, 27]
Generated Node #0,3,0: 95:[2, 27] Operation: 33-6=27
Exploring Operation: 6-2=4, Resulting Numbers: [33, 4]
Generated Node #0,3,1: 95:[33, 4] Operation: 6-2=4
Exploring Operation: 33-2=31, Resulting Numbers: [6, 31]
Generated Node #0,3,2: 95:[6, 31] Operation: 33-2=31
Exploring Operation: 6/2=3, Resulting Numbers: [33, 3]
Generated Node #0,3,3: 95:[33, 3] Operation: 6/2=3
Moving to Node #0,1
Current State: 95:[26, 33, 22], Operations: ['28-6=22']
Exploring Operation: 33-26=7, Resulting Numbers: [22, 7]
Generated Node #0,1,0: 95:[22, 7] Operation: 33-26=7
Exploring Operation: 33-22=11, Resulting Numbers: [26, 11]
Generated Node #0,1,1: 95:[26, 11] Operation: 33-22=11
Exploring Operation: 26+33=59, Resulting Numbers: [22, 59]
Generated Node #0,1,2: 95:[22, 59] Operation: 26+33=59
Exploring Operation: 26-22=4, Resulting Numbers: [33, 4]
Generated Node #0,1,3: 95:[33, 4] Operation: 26-22=4
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[22, 7], Operations: ['28-6=22', '33-26=7']
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Exploring Operation: 22*7=154, Resulting Numbers: [154]
154,95 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 #0,1,1
Current State: 95:[26, 11], Operations: ['28-6=22', '33-22=11']
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,95 unequal: No Solution
Exploring Operation: 26*11=286, Resulting Numbers: [286]
286,95 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 #0,1,3
Current State: 95:[33, 4], Operations: ['28-6=22', '26-22=4']
Exploring Operation: 33*4=132, Resulting Numbers: [132]
132,95 unequal: No Solution
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,95 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,95 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 #0,1,2
Current State: 95:[22, 59], Operations: ['28-6=22', '26+33=59']
Exploring Operation: 22+59=81, Resulting Numbers: [81]
81,95 unequal: No Solution
Exploring Operation: 22*59=1298, Resulting Numbers: [1298]
1298,95 unequal: No Solution
Exploring Operation: 59-22=37, Resulting Numbers: [37]
37,95 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: 95:[5, 20], Operations: ['33-28=5', '26-6=20']
Exploring Operation: 5+20=25, Resulting Numbers: [25]
25,95 unequal: No Solution
Exploring Operation: 5*20=100, Resulting Numbers: [100]
100,95 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Moving to Node #0,0,3
Current State: 95:[6, 21], Operations: ['33-28=5', '26-5=21']
Exploring Operation: 6*21=126, Resulting Numbers: [126]
126,95 unequal: No Solution
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,95 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Moving to Node #0,0,1
Current State: 95:[26, 1], Operations: ['33-28=5', '6-5=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,95 unequal: No Solution
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,95 unequal: No Solution
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,95 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,95 unequal: No Solution
Moving to Node #0,3,0
Current State: 95:[2, 27], Operations: ['28-26=2', '33-6=27']
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,95 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,95 unequal: No Solution
Moving to Node #0,3,2
Current State: 95:[6, 31], Operations: ['28-26=2', '33-2=31']
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,95 unequal: No Solution
Exploring Operation: 6*31=186, Resulting Numbers: [186]
186,95 unequal: No Solution
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[5, 32], Operations: ['33-28=5', '6+26=32']
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,95 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,95 unequal: No Solution
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,95 unequal: No Solution
Moving to Node #0,3,1
Current State: 95:[33, 4], Operations: ['28-26=2', '6-2=4']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Exploring Operation: 33*4=132, Resulting Numbers: [132]
132,95 unequal: No Solution
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,95 unequal: No Solution
Moving to Node #0,3,3
Current State: 95:[33, 3], Operations: ['28-26=2', '6/2=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,95 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,95 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,95 unequal: No Solution
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,95 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
96,
76,
52,
58
] | 90 | [
"96-76=20",
"52+58=110",
"110-20=90"
] | Current State: 90:[96, 76, 52, 58], Operations: []
Exploring Operation: 96-76=20, Resulting Numbers: [52, 58, 20]
Generated Node #2: [52, 58, 20] from Operation: 96-76=20
Current State: 90:[52, 58, 20], Operations: ['96-76=20']
Exploring Operation: 52+58=110, Resulting Numbers: [20, 110]
Generated Node #3: [20, 110] from Operation: 52+58=110
Current State: 90:[20, 110], Operations: ['96-76=20', '52+58=110']
Exploring Operation: 110-20=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[96, 76, 52, 58], Operations: []
Exploring Operation: 76-58=18, Resulting Numbers: [96, 52, 18]
Generated Node #0,0: 90:[96, 52, 18] Operation: 76-58=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[96, 52, 18], Operations: ['76-58=18']
Exploring Operation: 96-52=44, Resulting Numbers: [18, 44]
Generated Node #0,0,0: 90:[18, 44] Operation: 96-52=44
Moving to Node #0,0,0
Current State: 90:[18, 44], Operations: ['76-58=18', '96-52=44']
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
16,
73,
12,
19
] | 37 | [
"19-16=3",
"12*3=36",
"73-36=37"
] | Current State: 37:[16, 73, 12, 19], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [73, 12, 3]
Generated Node #2: [73, 12, 3] from Operation: 19-16=3
Current State: 37:[73, 12, 3], Operations: ['19-16=3']
Exploring Operation: 12*3=36, Resulting Numbers: [73, 36]
Generated Node #3: [73, 36] from Operation: 12*3=36
Current State: 37:[73, 36], Operations: ['19-16=3', '12*3=36']
Exploring Operation: 73-36=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[16, 73, 12, 19], Operations: []
Exploring Operation: 73-16=57, Resulting Numbers: [12, 19, 57]
Generated Node #0,0: 37:[12, 19, 57] Operation: 73-16=57
Moving to Node #0,0
Current State: 37:[12, 19, 57], Operations: ['73-16=57']
Exploring Operation: 12+19=31, Resulting Numbers: [57, 31]
Generated Node #0,0,0: 37:[57, 31] Operation: 12+19=31
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[57, 31], Operations: ['73-16=57', '12+19=31']
Exploring Operation: 57-31=26, Resulting Numbers: [26]
26,37 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 |
[
92,
90,
65,
42
] | 25 | [
"92-90=2",
"65-42=23",
"2+23=25"
] | Current State: 25:[92, 90, 65, 42], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [65, 42, 2]
Generated Node #2: [65, 42, 2] from Operation: 92-90=2
Current State: 25:[65, 42, 2], Operations: ['92-90=2']
Exploring Operation: 65-42=23, Resulting Numbers: [2, 23]
Generated Node #3: [2, 23] from Operation: 65-42=23
Current State: 25:[2, 23], Operations: ['92-90=2', '65-42=23']
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[92, 90, 65, 42], Operations: []
Exploring Operation: 90-42=48, Resulting Numbers: [92, 65, 48]
Generated Node #0,0: 25:[92, 65, 48] Operation: 90-42=48
Exploring Operation: 90-65=25, Resulting Numbers: [92, 42, 25]
Generated Node #0,1: 25:[92, 42, 25] Operation: 90-65=25
Exploring Operation: 92-65=27, Resulting Numbers: [90, 42, 27]
Generated Node #0,2: 25:[90, 42, 27] Operation: 92-65=27
Exploring Operation: 92-90=2, Resulting Numbers: [65, 42, 2]
Generated Node #0,3: 25:[65, 42, 2] Operation: 92-90=2
Exploring Operation: 92-42=50, Resulting Numbers: [90, 65, 50]
Generated Node #0,4: 25:[90, 65, 50] Operation: 92-42=50
Start Sub Search at level 1: Moving to Node #0,3
Current State: 25:[65, 42, 2], Operations: ['92-90=2']
Exploring Operation: 65-42=23, Resulting Numbers: [2, 23]
Generated Node #0,3,0: 25:[2, 23] Operation: 65-42=23
Exploring Operation: 42-2=40, Resulting Numbers: [65, 40]
Generated Node #0,3,1: 25:[65, 40] Operation: 42-2=40
Exploring Operation: 65+2=67, Resulting Numbers: [42, 67]
Generated Node #0,3,2: 25:[42, 67] Operation: 65+2=67
Exploring Operation: 65-2=63, Resulting Numbers: [42, 63]
Generated Node #0,3,3: 25:[42, 63] Operation: 65-2=63
Exploring Operation: 42/2=21, Resulting Numbers: [65, 21]
Generated Node #0,3,4: 25:[65, 21] Operation: 42/2=21
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 25:[2, 23], Operations: ['92-90=2', '65-42=23']
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[92, 90, 65, 42], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [65, 42, 2]
Generated Node #0,3: 25:[65, 42, 2] Operation: 92-90=2
Moving to Node #0,3
Current State: 25:[65, 42, 2], Operations: ['92-90=2']
Exploring Operation: 65-42=23, Resulting Numbers: [2, 23]
Generated Node #0,3,0: 25:[2, 23] Operation: 65-42=23
Moving to Node #0,3,0
Current State: 25:[2, 23], Operations: ['92-90=2', '65-42=23']
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
38,
3,
73,
85
] | 40 | [
"73-38=35",
"85+35=120",
"120/3=40"
] | Current State: 40:[38, 3, 73, 85], Operations: []
Exploring Operation: 73-38=35, Resulting Numbers: [3, 85, 35]
Generated Node #2: [3, 85, 35] from Operation: 73-38=35
Current State: 40:[3, 85, 35], Operations: ['73-38=35']
Exploring Operation: 85+35=120, Resulting Numbers: [3, 120]
Generated Node #3: [3, 120] from Operation: 85+35=120
Current State: 40:[3, 120], Operations: ['73-38=35', '85+35=120']
Exploring Operation: 120/3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[38, 3, 73, 85], Operations: []
Exploring Operation: 73-3=70, Resulting Numbers: [38, 85, 70]
Generated Node #0,0: 40:[38, 85, 70] Operation: 73-3=70
Exploring Operation: 85-38=47, Resulting Numbers: [3, 73, 47]
Generated Node #0,1: 40:[3, 73, 47] Operation: 85-38=47
Exploring Operation: 85-3=82, Resulting Numbers: [38, 73, 82]
Generated Node #0,2: 40:[38, 73, 82] Operation: 85-3=82
Exploring Operation: 73-38=35, Resulting Numbers: [3, 85, 35]
Generated Node #0,3: 40:[3, 85, 35] Operation: 73-38=35
Exploring Operation: 85-73=12, Resulting Numbers: [38, 3, 12]
Generated Node #0,4: 40:[38, 3, 12] Operation: 85-73=12
Start Sub Search at level 1: Moving to Node #0,4
Current State: 40:[38, 3, 12], Operations: ['85-73=12']
Exploring Operation: 12/3=4, Resulting Numbers: [38, 4]
Generated Node #0,4,0: 40:[38, 4] Operation: 12/3=4
Exploring Operation: 3*12=36, Resulting Numbers: [38, 36]
Generated Node #0,4,1: 40:[38, 36] Operation: 3*12=36
Exploring Operation: 38-3=35, Resulting Numbers: [12, 35]
Generated Node #0,4,2: 40:[12, 35] Operation: 38-3=35
Exploring Operation: 12-3=9, Resulting Numbers: [38, 9]
Generated Node #0,4,3: 40:[38, 9] Operation: 12-3=9
Exploring Operation: 38+3=41, Resulting Numbers: [12, 41]
Generated Node #0,4,4: 40:[12, 41] Operation: 38+3=41
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 40:[38, 4], Operations: ['85-73=12', '12/3=4']
Exploring Operation: 38*4=152, Resulting Numbers: [152]
152,40 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,40 unequal: No Solution
Exploring Operation: 38+4=42, Resulting Numbers: [42]
42,40 unequal: No Solution
No 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: 40:[38, 9], Operations: ['85-73=12', '12-3=9']
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,40 unequal: No Solution
Exploring Operation: 38*9=342, Resulting Numbers: [342]
342,40 unequal: No Solution
Exploring Operation: 38+9=47, Resulting Numbers: [47]
47,40 unequal: No Solution
No 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: 40:[12, 41], Operations: ['85-73=12', '38+3=41']
Exploring Operation: 12+41=53, Resulting Numbers: [53]
53,40 unequal: No Solution
Exploring Operation: 12*41=492, Resulting Numbers: [492]
492,40 unequal: No Solution
Exploring Operation: 41-12=29, Resulting Numbers: [29]
29,40 unequal: No Solution
No 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: 40:[38, 36], Operations: ['85-73=12', '3*12=36']
Exploring Operation: 38-36=2, Resulting Numbers: [2]
2,40 unequal: No Solution
Exploring Operation: 38+36=74, Resulting Numbers: [74]
74,40 unequal: No Solution
Exploring Operation: 38*36=1368, Resulting Numbers: [1368]
1368,40 unequal: No Solution
No 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: 40:[12, 35], Operations: ['85-73=12', '38-3=35']
Exploring Operation: 35-12=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Exploring Operation: 12+35=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Exploring Operation: 12*35=420, Resulting Numbers: [420]
420,40 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: 40:[3, 73, 47], Operations: ['85-38=47']
Exploring Operation: 3+47=50, Resulting Numbers: [73, 50]
Generated Node #0,1,0: 40:[73, 50] Operation: 3+47=50
Exploring Operation: 73-47=26, Resulting Numbers: [3, 26]
Generated Node #0,1,1: 40:[3, 26] Operation: 73-47=26
Exploring Operation: 73-3=70, Resulting Numbers: [47, 70]
Generated Node #0,1,2: 40:[47, 70] Operation: 73-3=70
Exploring Operation: 3+73=76, Resulting Numbers: [47, 76]
Generated Node #0,1,3: 40:[47, 76] Operation: 3+73=76
Exploring Operation: 47-3=44, Resulting Numbers: [73, 44]
Generated Node #0,1,4: 40:[73, 44] Operation: 47-3=44
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 40:[3, 26], Operations: ['85-38=47', '73-47=26']
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,40 unequal: No Solution
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,40 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,40 unequal: No Solution
No 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: 40:[47, 70], Operations: ['85-38=47', '73-3=70']
Exploring Operation: 70-47=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Exploring Operation: 47*70=3290, Resulting Numbers: [3290]
3290,40 unequal: No Solution
Exploring Operation: 47+70=117, Resulting Numbers: [117]
117,40 unequal: No Solution
No 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: 40:[73, 44], Operations: ['85-38=47', '47-3=44']
Exploring Operation: 73-44=29, Resulting Numbers: [29]
29,40 unequal: No Solution
Exploring Operation: 73+44=117, Resulting Numbers: [117]
117,40 unequal: No Solution
Exploring Operation: 73*44=3212, Resulting Numbers: [3212]
3212,40 unequal: No Solution
No 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: 40:[73, 50], Operations: ['85-38=47', '3+47=50']
Exploring Operation: 73*50=3650, Resulting Numbers: [3650]
3650,40 unequal: No Solution
Exploring Operation: 73-50=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Exploring Operation: 73+50=123, Resulting Numbers: [123]
123,40 unequal: No Solution
No 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: 40:[47, 76], Operations: ['85-38=47', '3+73=76']
Exploring Operation: 76-47=29, Resulting Numbers: [29]
29,40 unequal: No Solution
Exploring Operation: 47+76=123, Resulting Numbers: [123]
123,40 unequal: No Solution
Exploring Operation: 47*76=3572, Resulting Numbers: [3572]
3572,40 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: 40:[3, 85, 35], Operations: ['73-38=35']
Exploring Operation: 3+85=88, Resulting Numbers: [35, 88]
Generated Node #0,3,0: 40:[35, 88] Operation: 3+85=88
Exploring Operation: 35-3=32, Resulting Numbers: [85, 32]
Generated Node #0,3,1: 40:[85, 32] Operation: 35-3=32
Exploring Operation: 3+35=38, Resulting Numbers: [85, 38]
Generated Node #0,3,2: 40:[85, 38] Operation: 3+35=38
Exploring Operation: 85-3=82, Resulting Numbers: [35, 82]
Generated Node #0,3,3: 40:[35, 82] Operation: 85-3=82
Exploring Operation: 85-35=50, Resulting Numbers: [3, 50]
Generated Node #0,3,4: 40:[3, 50] Operation: 85-35=50
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 40:[3, 50], Operations: ['73-38=35', '85-35=50']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Exploring Operation: 3+50=53, Resulting Numbers: [53]
53,40 unequal: No Solution
Exploring Operation: 3*50=150, Resulting Numbers: [150]
150,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 40:[85, 38], Operations: ['73-38=35', '3+35=38']
Exploring Operation: 85*38=3230, Resulting Numbers: [3230]
3230,40 unequal: No Solution
Exploring Operation: 85+38=123, Resulting Numbers: [123]
123,40 unequal: No Solution
Exploring Operation: 85-38=47, Resulting Numbers: [47]
47,40 unequal: No Solution
No 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: 40:[35, 82], Operations: ['73-38=35', '85-3=82']
Exploring Operation: 82-35=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Exploring Operation: 35*82=2870, Resulting Numbers: [2870]
2870,40 unequal: No Solution
Exploring Operation: 35+82=117, Resulting Numbers: [117]
117,40 unequal: No Solution
No 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: 40:[35, 88], Operations: ['73-38=35', '3+85=88']
Exploring Operation: 35*88=3080, Resulting Numbers: [3080]
3080,40 unequal: No Solution
Exploring Operation: 88-35=53, Resulting Numbers: [53]
53,40 unequal: No Solution
Exploring Operation: 35+88=123, Resulting Numbers: [123]
123,40 unequal: No Solution
No 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: 40:[85, 32], Operations: ['73-38=35', '35-3=32']
Exploring Operation: 85+32=117, Resulting Numbers: [117]
117,40 unequal: No Solution
Exploring Operation: 85*32=2720, Resulting Numbers: [2720]
2720,40 unequal: No Solution
Exploring Operation: 85-32=53, Resulting Numbers: [53]
53,40 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: 40:[38, 85, 70], Operations: ['73-3=70']
Exploring Operation: 38+85=123, Resulting Numbers: [70, 123]
Generated Node #0,0,0: 40:[70, 123] Operation: 38+85=123
Exploring Operation: 38+70=108, Resulting Numbers: [85, 108]
Generated Node #0,0,1: 40:[85, 108] Operation: 38+70=108
Exploring Operation: 85-70=15, Resulting Numbers: [38, 15]
Generated Node #0,0,2: 40:[38, 15] Operation: 85-70=15
Exploring Operation: 85-38=47, Resulting Numbers: [70, 47]
Generated Node #0,0,3: 40:[70, 47] Operation: 85-38=47
Exploring Operation: 70-38=32, Resulting Numbers: [85, 32]
Generated Node #0,0,4: 40:[85, 32] Operation: 70-38=32
Moving to Node #0,0,2
Current State: 40:[38, 15], Operations: ['73-3=70', '85-70=15']
Exploring Operation: 38*15=570, Resulting Numbers: [570]
570,40 unequal: No Solution
Exploring Operation: 38+15=53, Resulting Numbers: [53]
53,40 unequal: No Solution
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Moving to Node #0,0,3
Current State: 40:[70, 47], Operations: ['73-3=70', '85-38=47']
Exploring Operation: 70*47=3290, Resulting Numbers: [3290]
3290,40 unequal: No Solution
Exploring Operation: 70+47=117, Resulting Numbers: [117]
117,40 unequal: No Solution
Exploring Operation: 70-47=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Moving to Node #0,0,4
Current State: 40:[85, 32], Operations: ['73-3=70', '70-38=32']
Exploring Operation: 85*32=2720, Resulting Numbers: [2720]
2720,40 unequal: No Solution
Exploring Operation: 85+32=117, Resulting Numbers: [117]
117,40 unequal: No Solution
Exploring Operation: 85-32=53, Resulting Numbers: [53]
53,40 unequal: No Solution
Moving to Node #0,0,0
Current State: 40:[70, 123], Operations: ['73-3=70', '38+85=123']
Exploring Operation: 123-70=53, Resulting Numbers: [53]
53,40 unequal: No Solution
Exploring Operation: 70*123=8610, Resulting Numbers: [8610]
8610,40 unequal: No Solution
Exploring Operation: 70+123=193, Resulting Numbers: [193]
193,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[85, 108], Operations: ['73-3=70', '38+70=108']
Exploring Operation: 108-85=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Exploring Operation: 85*108=9180, Resulting Numbers: [9180]
9180,40 unequal: No Solution
Exploring Operation: 85+108=193, Resulting Numbers: [193]
193,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[38, 73, 82], Operations: ['85-3=82']
Exploring Operation: 73-38=35, Resulting Numbers: [82, 35]
Generated Node #0,2,0: 40:[82, 35] Operation: 73-38=35
Exploring Operation: 82-73=9, Resulting Numbers: [38, 9]
Generated Node #0,2,1: 40:[38, 9] Operation: 82-73=9
Exploring Operation: 38+73=111, Resulting Numbers: [82, 111]
Generated Node #0,2,2: 40:[82, 111] Operation: 38+73=111
Exploring Operation: 82-38=44, Resulting Numbers: [73, 44]
Generated Node #0,2,3: 40:[73, 44] Operation: 82-38=44
Exploring Operation: 38+82=120, Resulting Numbers: [73, 120]
Generated Node #0,2,4: 40:[73, 120] Operation: 38+82=120
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 40:[38, 9], Operations: ['85-3=82', '82-73=9']
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,40 unequal: No Solution
Exploring Operation: 38+9=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Exploring Operation: 38*9=342, Resulting Numbers: [342]
342,40 unequal: No Solution
No 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: 40:[73, 44], Operations: ['85-3=82', '82-38=44']
Exploring Operation: 73+44=117, Resulting Numbers: [117]
117,40 unequal: No Solution
Exploring Operation: 73-44=29, Resulting Numbers: [29]
29,40 unequal: No Solution
Exploring Operation: 73*44=3212, Resulting Numbers: [3212]
3212,40 unequal: No Solution
No 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: 40:[82, 35], Operations: ['85-3=82', '73-38=35']
Exploring Operation: 82*35=2870, Resulting Numbers: [2870]
2870,40 unequal: No Solution
Exploring Operation: 82+35=117, Resulting Numbers: [117]
117,40 unequal: No Solution
Exploring Operation: 82-35=47, Resulting Numbers: [47]
47,40 unequal: No Solution
No 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: 40:[82, 111], Operations: ['85-3=82', '38+73=111']
Exploring Operation: 111-82=29, Resulting Numbers: [29]
29,40 unequal: No Solution
Exploring Operation: 82+111=193, Resulting Numbers: [193]
193,40 unequal: No Solution
Exploring Operation: 82*111=9102, Resulting Numbers: [9102]
9102,40 unequal: No Solution
No 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: 40:[73, 120], Operations: ['85-3=82', '38+82=120']
Exploring Operation: 73+120=193, Resulting Numbers: [193]
193,40 unequal: No Solution
Exploring Operation: 73*120=8760, Resulting Numbers: [8760]
8760,40 unequal: No Solution
Exploring Operation: 120-73=47, Resulting Numbers: [47]
47,40 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 |
[
90,
52,
34,
46
] | 73 | [
"52*46=2392",
"90+2392=2482",
"2482/34=73"
] | Current State: 73:[90, 52, 34, 46], Operations: []
Exploring Operation: 52*46=2392, Resulting Numbers: [90, 34, 2392]
Generated Node #2: [90, 34, 2392] from Operation: 52*46=2392
Current State: 73:[90, 34, 2392], Operations: ['52*46=2392']
Exploring Operation: 90+2392=2482, Resulting Numbers: [34, 2482]
Generated Node #3: [34, 2482] from Operation: 90+2392=2482
Current State: 73:[34, 2482], Operations: ['52*46=2392', '90+2392=2482']
Exploring Operation: 2482/34=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[90, 52, 34, 46], Operations: []
Exploring Operation: 34+46=80, Resulting Numbers: [90, 52, 80]
Generated Node #0,0: 73:[90, 52, 80] Operation: 34+46=80
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[90, 52, 80], Operations: ['34+46=80']
Exploring Operation: 90-52=38, Resulting Numbers: [80, 38]
Generated Node #0,0,0: 73:[80, 38] Operation: 90-52=38
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[80, 38], Operations: ['34+46=80', '90-52=38']
Exploring Operation: 80-38=42, Resulting Numbers: [42]
42,73 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 |
[
58,
68,
8,
34
] | 20 | [
"58+68=126",
"34+126=160",
"160/8=20"
] | Current State: 20:[58, 68, 8, 34], Operations: []
Exploring Operation: 58+68=126, Resulting Numbers: [8, 34, 126]
Generated Node #2: [8, 34, 126] from Operation: 58+68=126
Current State: 20:[8, 34, 126], Operations: ['58+68=126']
Exploring Operation: 34+126=160, Resulting Numbers: [8, 160]
Generated Node #3: [8, 160] from Operation: 34+126=160
Current State: 20:[8, 160], Operations: ['58+68=126', '34+126=160']
Exploring Operation: 160/8=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[58, 68, 8, 34], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [58, 8, 2]
Generated Node #0,0: 20:[58, 8, 2] Operation: 68/34=2
Exploring Operation: 58-8=50, Resulting Numbers: [68, 34, 50]
Generated Node #0,1: 20:[68, 34, 50] Operation: 58-8=50
Exploring Operation: 68-34=34, Resulting Numbers: [58, 8, 34]
Generated Node #0,2: 20:[58, 8, 34] Operation: 68-34=34
Exploring Operation: 68-58=10, Resulting Numbers: [8, 34, 10]
Generated Node #0,3: 20:[8, 34, 10] Operation: 68-58=10
Exploring Operation: 58-34=24, Resulting Numbers: [68, 8, 24]
Generated Node #0,4: 20:[68, 8, 24] Operation: 58-34=24
Moving to Node #0,3
Current State: 20:[8, 34, 10], Operations: ['68-58=10']
Exploring Operation: 34-10=24, Resulting Numbers: [8, 24]
Generated Node #0,3,0: 20:[8, 24] Operation: 34-10=24
Exploring Operation: 34-8=26, Resulting Numbers: [10, 26]
Generated Node #0,3,1: 20:[10, 26] Operation: 34-8=26
Exploring Operation: 8+10=18, Resulting Numbers: [34, 18]
Generated Node #0,3,2: 20:[34, 18] Operation: 8+10=18
Exploring Operation: 10-8=2, Resulting Numbers: [34, 2]
Generated Node #0,3,3: 20:[34, 2] Operation: 10-8=2
Exploring Operation: 8+34=42, Resulting Numbers: [10, 42]
Generated Node #0,3,4: 20:[10, 42] Operation: 8+34=42
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 20:[8, 24], Operations: ['68-58=10', '34-10=24']
Exploring Operation: 8+24=32, Resulting Numbers: [32]
32,20 unequal: No Solution
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,20 unequal: No Solution
Exploring Operation: 8*24=192, Resulting Numbers: [192]
192,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 20:[10, 26], Operations: ['68-58=10', '34-8=26']
Exploring Operation: 10+26=36, Resulting Numbers: [36]
36,20 unequal: No Solution
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 10*26=260, Resulting Numbers: [260]
260,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 20:[34, 2], Operations: ['68-58=10', '10-8=2']
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,20 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,20 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,20 unequal: No Solution
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 20:[34, 18], Operations: ['68-58=10', '8+10=18']
Exploring Operation: 34+18=52, Resulting Numbers: [52]
52,20 unequal: No Solution
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 34*18=612, Resulting Numbers: [612]
612,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 20:[10, 42], Operations: ['68-58=10', '8+34=42']
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,20 unequal: No Solution
Exploring Operation: 10*42=420, Resulting Numbers: [420]
420,20 unequal: No Solution
Exploring Operation: 10+42=52, Resulting Numbers: [52]
52,20 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: 20:[58, 8, 2], Operations: ['68/34=2']
Exploring Operation: 8/2=4, Resulting Numbers: [58, 4]
Generated Node #0,0,0: 20:[58, 4] Operation: 8/2=4
Exploring Operation: 58-8=50, Resulting Numbers: [2, 50]
Generated Node #0,0,1: 20:[2, 50] Operation: 58-8=50
Exploring Operation: 58-2=56, Resulting Numbers: [8, 56]
Generated Node #0,0,2: 20:[8, 56] Operation: 58-2=56
Exploring Operation: 58/2=29, Resulting Numbers: [8, 29]
Generated Node #0,0,3: 20:[8, 29] Operation: 58/2=29
Exploring Operation: 8+2=10, Resulting Numbers: [58, 10]
Generated Node #0,0,4: 20:[58, 10] Operation: 8+2=10
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 20:[8, 29], Operations: ['68/34=2', '58/2=29']
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Exploring Operation: 8+29=37, Resulting Numbers: [37]
37,20 unequal: No Solution
Exploring Operation: 8*29=232, Resulting Numbers: [232]
232,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 20:[2, 50], Operations: ['68/34=2', '58-8=50']
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,20 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,20 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 20:[58, 4], Operations: ['68/34=2', '8/2=4']
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,20 unequal: No Solution
Exploring Operation: 58+4=62, Resulting Numbers: [62]
62,20 unequal: No Solution
Exploring Operation: 58*4=232, Resulting Numbers: [232]
232,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 20:[8, 56], Operations: ['68/34=2', '58-2=56']
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,20 unequal: No Solution
Exploring Operation: 56/8=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 8+56=64, Resulting Numbers: [64]
64,20 unequal: No Solution
Exploring Operation: 8*56=448, Resulting Numbers: [448]
448,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 20:[58, 10], Operations: ['68/34=2', '8+2=10']
Exploring Operation: 58+10=68, Resulting Numbers: [68]
68,20 unequal: No Solution
Exploring Operation: 58*10=580, Resulting Numbers: [580]
580,20 unequal: No Solution
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,20 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: 20:[58, 8, 34], Operations: ['68-34=34']
Exploring Operation: 58-8=50, Resulting Numbers: [34, 50]
Generated Node #0,2,0: 20:[34, 50] Operation: 58-8=50
Exploring Operation: 8+34=42, Resulting Numbers: [58, 42]
Generated Node #0,2,1: 20:[58, 42] Operation: 8+34=42
Exploring Operation: 34-8=26, Resulting Numbers: [58, 26]
Generated Node #0,2,2: 20:[58, 26] Operation: 34-8=26
Exploring Operation: 58+8=66, Resulting Numbers: [34, 66]
Generated Node #0,2,3: 20:[34, 66] Operation: 58+8=66
Exploring Operation: 58-34=24, Resulting Numbers: [8, 24]
Generated Node #0,2,4: 20:[8, 24] Operation: 58-34=24
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 20:[8, 24], Operations: ['68-34=34', '58-34=24']
Exploring Operation: 8*24=192, Resulting Numbers: [192]
192,20 unequal: No Solution
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,20 unequal: No Solution
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 8+24=32, Resulting Numbers: [32]
32,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 20:[34, 50], Operations: ['68-34=34', '58-8=50']
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 34+50=84, Resulting Numbers: [84]
84,20 unequal: No Solution
Exploring Operation: 34*50=1700, Resulting Numbers: [1700]
1700,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 20:[58, 26], Operations: ['68-34=34', '34-8=26']
Exploring Operation: 58+26=84, Resulting Numbers: [84]
84,20 unequal: No Solution
Exploring Operation: 58*26=1508, Resulting Numbers: [1508]
1508,20 unequal: No Solution
Exploring Operation: 58-26=32, Resulting Numbers: [32]
32,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 20:[58, 42], Operations: ['68-34=34', '8+34=42']
Exploring Operation: 58+42=100, Resulting Numbers: [100]
100,20 unequal: No Solution
Exploring Operation: 58-42=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 58*42=2436, Resulting Numbers: [2436]
2436,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 20:[34, 66], Operations: ['68-34=34', '58+8=66']
Exploring Operation: 66-34=32, Resulting Numbers: [32]
32,20 unequal: No Solution
Exploring Operation: 34*66=2244, Resulting Numbers: [2244]
2244,20 unequal: No Solution
Exploring Operation: 34+66=100, Resulting Numbers: [100]
100,20 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: 20:[68, 8, 24], Operations: ['58-34=24']
Exploring Operation: 24-8=16, Resulting Numbers: [68, 16]
Generated Node #0,4,0: 20:[68, 16] Operation: 24-8=16
Exploring Operation: 68-8=60, Resulting Numbers: [24, 60]
Generated Node #0,4,1: 20:[24, 60] Operation: 68-8=60
Exploring Operation: 68-24=44, Resulting Numbers: [8, 44]
Generated Node #0,4,2: 20:[8, 44] Operation: 68-24=44
Exploring Operation: 68+8=76, Resulting Numbers: [24, 76]
Generated Node #0,4,3: 20:[24, 76] Operation: 68+8=76
Exploring Operation: 24/8=3, Resulting Numbers: [68, 3]
Generated Node #0,4,4: 20:[68, 3] Operation: 24/8=3
Moving to Node #0,1
Current State: 20:[68, 34, 50], Operations: ['58-8=50']
Exploring Operation: 68-50=18, Resulting Numbers: [34, 18]
Generated Node #0,1,0: 20:[34, 18] Operation: 68-50=18
Exploring Operation: 68-34=34, Resulting Numbers: [50, 34]
Generated Node #0,1,1: 20:[50, 34] Operation: 68-34=34
Exploring Operation: 50-34=16, Resulting Numbers: [68, 16]
Generated Node #0,1,2: 20:[68, 16] Operation: 50-34=16
Exploring Operation: 68/34=2, Resulting Numbers: [50, 2]
Generated Node #0,1,3: 20:[50, 2] Operation: 68/34=2
Exploring Operation: 68+34=102, Resulting Numbers: [50, 102]
Generated Node #0,1,4: 20:[50, 102] Operation: 68+34=102
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 20:[34, 18], Operations: ['58-8=50', '68-50=18']
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 34+18=52, Resulting Numbers: [52]
52,20 unequal: No Solution
Exploring Operation: 34*18=612, Resulting Numbers: [612]
612,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 20:[50, 2], Operations: ['58-8=50', '68/34=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,20 unequal: No Solution
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,20 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,20 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 20:[50, 34], Operations: ['58-8=50', '68-34=34']
Exploring Operation: 50+34=84, Resulting Numbers: [84]
84,20 unequal: No Solution
Exploring Operation: 50*34=1700, Resulting Numbers: [1700]
1700,20 unequal: No Solution
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 20:[68, 16], Operations: ['58-8=50', '50-34=16']
Exploring Operation: 68*16=1088, Resulting Numbers: [1088]
1088,20 unequal: No Solution
Exploring Operation: 68-16=52, Resulting Numbers: [52]
52,20 unequal: No Solution
Exploring Operation: 68+16=84, Resulting Numbers: [84]
84,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 20:[50, 102], Operations: ['58-8=50', '68+34=102']
Exploring Operation: 102-50=52, Resulting Numbers: [52]
52,20 unequal: No Solution
Exploring Operation: 50*102=5100, Resulting Numbers: [5100]
5100,20 unequal: No Solution
Exploring Operation: 50+102=152, Resulting Numbers: [152]
152,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,2
Current State: 20:[8, 44], Operations: ['58-34=24', '68-24=44']
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,20 unequal: No Solution
Exploring Operation: 8+44=52, Resulting Numbers: [52]
52,20 unequal: No Solution
Exploring Operation: 8*44=352, Resulting Numbers: [352]
352,20 unequal: No Solution
Moving to Node #0,4,1
Current State: 20:[24, 60], Operations: ['58-34=24', '68-8=60']
Exploring Operation: 24*60=1440, Resulting Numbers: [1440]
1440,20 unequal: No Solution
Exploring Operation: 24+60=84, Resulting Numbers: [84]
84,20 unequal: No Solution
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,20 unequal: No Solution
Moving to Node #0,4,4
Current State: 20:[68, 3], Operations: ['58-34=24', '24/8=3']
Exploring Operation: 68*3=204, Resulting Numbers: [204]
204,20 unequal: No Solution
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,20 unequal: No Solution
Exploring Operation: 68+3=71, Resulting Numbers: [71]
71,20 unequal: No Solution
Moving to Node #0,4,0
Current State: 20:[68, 16], Operations: ['58-34=24', '24-8=16']
Exploring Operation: 68*16=1088, Resulting Numbers: [1088]
1088,20 unequal: No Solution
Exploring Operation: 68+16=84, Resulting Numbers: [84]
84,20 unequal: No Solution
Exploring Operation: 68-16=52, Resulting Numbers: [52]
52,20 unequal: No Solution
Moving to Node #0,4,3
Current State: 20:[24, 76], Operations: ['58-34=24', '68+8=76']
Exploring Operation: 24+76=100, Resulting Numbers: [100]
100,20 unequal: No Solution
Exploring Operation: 24*76=1824, Resulting Numbers: [1824]
1824,20 unequal: No Solution
Exploring Operation: 76-24=52, Resulting Numbers: [52]
52,20 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
98,
34,
9,
74
] | 86 | [
"34+74=108",
"108/9=12",
"98-12=86"
] | Current State: 86:[98, 34, 9, 74], Operations: []
Exploring Operation: 34+74=108, Resulting Numbers: [98, 9, 108]
Generated Node #2: [98, 9, 108] from Operation: 34+74=108
Current State: 86:[98, 9, 108], Operations: ['34+74=108']
Exploring Operation: 108/9=12, Resulting Numbers: [98, 12]
Generated Node #3: [98, 12] from Operation: 108/9=12
Current State: 86:[98, 12], Operations: ['34+74=108', '108/9=12']
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[98, 34, 9, 74], Operations: []
Exploring Operation: 98-9=89, Resulting Numbers: [34, 74, 89]
Generated Node #0,0: 86:[34, 74, 89] Operation: 98-9=89
Exploring Operation: 74-34=40, Resulting Numbers: [98, 9, 40]
Generated Node #0,1: 86:[98, 9, 40] Operation: 74-34=40
Exploring Operation: 34+9=43, Resulting Numbers: [98, 74, 43]
Generated Node #0,2: 86:[98, 74, 43] Operation: 34+9=43
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[98, 9, 40], Operations: ['74-34=40']
Exploring Operation: 98-40=58, Resulting Numbers: [9, 58]
Generated Node #0,1,0: 86:[9, 58] Operation: 98-40=58
Exploring Operation: 98-9=89, Resulting Numbers: [40, 89]
Generated Node #0,1,1: 86:[40, 89] Operation: 98-9=89
Exploring Operation: 9+40=49, Resulting Numbers: [98, 49]
Generated Node #0,1,2: 86:[98, 49] Operation: 9+40=49
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 86:[40, 89], Operations: ['74-34=40', '98-9=89']
Exploring Operation: 40*89=3560, Resulting Numbers: [3560]
3560,86 unequal: No Solution
Exploring Operation: 89-40=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Exploring Operation: 40+89=129, Resulting Numbers: [129]
129,86 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:[98, 49], Operations: ['74-34=40', '9+40=49']
Exploring Operation: 98+49=147, Resulting Numbers: [147]
147,86 unequal: No Solution
Exploring Operation: 98/49=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 98-49=49, Resulting Numbers: [49]
49,86 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:[9, 58], Operations: ['74-34=40', '98-40=58']
Exploring Operation: 9+58=67, Resulting Numbers: [67]
67,86 unequal: No Solution
Exploring Operation: 9*58=522, Resulting Numbers: [522]
522,86 unequal: No Solution
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,86 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 #0,0
Current State: 86:[34, 74, 89], Operations: ['98-9=89']
Exploring Operation: 89-34=55, Resulting Numbers: [74, 55]
Generated Node #0,0,0: 86:[74, 55] Operation: 89-34=55
Exploring Operation: 74-34=40, Resulting Numbers: [89, 40]
Generated Node #0,0,1: 86:[89, 40] Operation: 74-34=40
Exploring Operation: 89-74=15, Resulting Numbers: [34, 15]
Generated Node #0,0,2: 86:[34, 15] Operation: 89-74=15
Moving to Node #0,0,1
Current State: 86:[89, 40], Operations: ['98-9=89', '74-34=40']
Exploring Operation: 89*40=3560, Resulting Numbers: [3560]
3560,86 unequal: No Solution
Exploring Operation: 89-40=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Exploring Operation: 89+40=129, Resulting Numbers: [129]
129,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[34, 15], Operations: ['98-9=89', '89-74=15']
Exploring Operation: 34*15=510, Resulting Numbers: [510]
510,86 unequal: No Solution
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,86 unequal: No Solution
Exploring Operation: 34+15=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[74, 55], Operations: ['98-9=89', '89-34=55']
Exploring Operation: 74*55=4070, Resulting Numbers: [4070]
4070,86 unequal: No Solution
Exploring Operation: 74+55=129, Resulting Numbers: [129]
129,86 unequal: No Solution
Exploring Operation: 74-55=19, Resulting Numbers: [19]
19,86 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 #0,2
Current State: 86:[98, 74, 43], Operations: ['34+9=43']
Exploring Operation: 74-43=31, Resulting Numbers: [98, 31]
Generated Node #0,2,0: 86:[98, 31] Operation: 74-43=31
Exploring Operation: 98-74=24, Resulting Numbers: [43, 24]
Generated Node #0,2,1: 86:[43, 24] Operation: 98-74=24
Exploring Operation: 98-43=55, Resulting Numbers: [74, 55]
Generated Node #0,2,2: 86:[74, 55] Operation: 98-43=55
Moving to Node #0,2,1
Current State: 86:[43, 24], Operations: ['34+9=43', '98-74=24']
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,86 unequal: No Solution
Exploring Operation: 43+24=67, Resulting Numbers: [67]
67,86 unequal: No Solution
Exploring Operation: 43*24=1032, Resulting Numbers: [1032]
1032,86 unequal: No Solution
Moving to Node #0,2,0
Current State: 86:[98, 31], Operations: ['34+9=43', '74-43=31']
Exploring Operation: 98+31=129, Resulting Numbers: [129]
129,86 unequal: No Solution
Exploring Operation: 98*31=3038, Resulting Numbers: [3038]
3038,86 unequal: No Solution
Exploring Operation: 98-31=67, Resulting Numbers: [67]
67,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[74, 55], Operations: ['34+9=43', '98-43=55']
Exploring Operation: 74+55=129, Resulting Numbers: [129]
129,86 unequal: No Solution
Exploring Operation: 74*55=4070, Resulting Numbers: [4070]
4070,86 unequal: No Solution
Exploring Operation: 74-55=19, Resulting Numbers: [19]
19,86 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 |
[
16,
19,
85,
38
] | 44 | [
"19-16=3",
"85-38=47",
"47-3=44"
] | Current State: 44:[16, 19, 85, 38], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [85, 38, 3]
Generated Node #2: [85, 38, 3] from Operation: 19-16=3
Current State: 44:[85, 38, 3], Operations: ['19-16=3']
Exploring Operation: 85-38=47, Resulting Numbers: [3, 47]
Generated Node #3: [3, 47] from Operation: 85-38=47
Current State: 44:[3, 47], Operations: ['19-16=3', '85-38=47']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[16, 19, 85, 38], Operations: []
Exploring Operation: 85-38=47, Resulting Numbers: [16, 19, 47]
Generated Node #0,0: 44:[16, 19, 47] Operation: 85-38=47
Moving to Node #0,0
Current State: 44:[16, 19, 47], Operations: ['85-38=47']
Exploring Operation: 19-16=3, Resulting Numbers: [47, 3]
Generated Node #0,0,0: 44:[47, 3] Operation: 19-16=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[47, 3], Operations: ['85-38=47', '19-16=3']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[16, 19, 85, 38], Operations: []
Exploring Operation: 85-38=47, Resulting Numbers: [16, 19, 47]
Generated Node #0,0: 44:[16, 19, 47] Operation: 85-38=47
Moving to Node #0,0
Current State: 44:[16, 19, 47], Operations: ['85-38=47']
Exploring Operation: 19-16=3, Resulting Numbers: [47, 3]
Generated Node #0,0,0: 44:[47, 3] Operation: 19-16=3
Moving to Node #0,0,0
Current State: 44:[47, 3], Operations: ['85-38=47', '19-16=3']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
71,
2,
91,
94
] | 84 | [
"91-71=20",
"20/2=10",
"94-10=84"
] | Current State: 84:[71, 2, 91, 94], Operations: []
Exploring Operation: 91-71=20, Resulting Numbers: [2, 94, 20]
Generated Node #2: [2, 94, 20] from Operation: 91-71=20
Current State: 84:[2, 94, 20], Operations: ['91-71=20']
Exploring Operation: 20/2=10, Resulting Numbers: [94, 10]
Generated Node #3: [94, 10] from Operation: 20/2=10
Current State: 84:[94, 10], Operations: ['91-71=20', '20/2=10']
Exploring Operation: 94-10=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[71, 2, 91, 94], Operations: []
Exploring Operation: 94-71=23, Resulting Numbers: [2, 91, 23]
Generated Node #0,0: 84:[2, 91, 23] Operation: 94-71=23
Moving to Node #0,0
Current State: 84:[2, 91, 23], Operations: ['94-71=23']
Exploring Operation: 91-2=89, Resulting Numbers: [23, 89]
Generated Node #0,0,0: 84:[23, 89] Operation: 91-2=89
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 84:[23, 89], Operations: ['94-71=23', '91-2=89']
Exploring Operation: 89-23=66, Resulting Numbers: [66]
66,84 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 |
[
46,
1,
44,
73
] | 16 | [
"46-1=45",
"73-44=29",
"45-29=16"
] | Current State: 16:[46, 1, 44, 73], Operations: []
Exploring Operation: 46-1=45, Resulting Numbers: [44, 73, 45]
Generated Node #2: [44, 73, 45] from Operation: 46-1=45
Current State: 16:[44, 73, 45], Operations: ['46-1=45']
Exploring Operation: 73-44=29, Resulting Numbers: [45, 29]
Generated Node #3: [45, 29] from Operation: 73-44=29
Current State: 16:[45, 29], Operations: ['46-1=45', '73-44=29']
Exploring Operation: 45-29=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[46, 1, 44, 73], Operations: []
Exploring Operation: 73-46=27, Resulting Numbers: [1, 44, 27]
Generated Node #0,0: 16:[1, 44, 27] Operation: 73-46=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[1, 44, 27], Operations: ['73-46=27']
Exploring Operation: 44-27=17, Resulting Numbers: [1, 17]
Generated Node #0,0,0: 16:[1, 17] Operation: 44-27=17
Moving to Node #0,0,0
Current State: 16:[1, 17], Operations: ['73-46=27', '44-27=17']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[46, 1, 44, 73], Operations: []
Exploring Operation: 73-46=27, Resulting Numbers: [1, 44, 27]
Generated Node #0,0: 16:[1, 44, 27] Operation: 73-46=27
Moving to Node #0,0
Current State: 16:[1, 44, 27], Operations: ['73-46=27']
Exploring Operation: 44-27=17, Resulting Numbers: [1, 17]
Generated Node #0,0,0: 16:[1, 17] Operation: 44-27=17
Moving to Node #0,0,0
Current State: 16:[1, 17], Operations: ['73-46=27', '44-27=17']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
28,
49,
98,
25
] | 84 | [
"49-25=24",
"98*24=2352",
"2352/28=84"
] | Current State: 84:[28, 49, 98, 25], Operations: []
Exploring Operation: 49-25=24, Resulting Numbers: [28, 98, 24]
Generated Node #2: [28, 98, 24] from Operation: 49-25=24
Current State: 84:[28, 98, 24], Operations: ['49-25=24']
Exploring Operation: 98*24=2352, Resulting Numbers: [28, 2352]
Generated Node #3: [28, 2352] from Operation: 98*24=2352
Current State: 84:[28, 2352], Operations: ['49-25=24', '98*24=2352']
Exploring Operation: 2352/28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[28, 49, 98, 25], Operations: []
Exploring Operation: 49-28=21, Resulting Numbers: [98, 25, 21]
Generated Node #0,0: 84:[98, 25, 21] Operation: 49-28=21
Exploring Operation: 98/49=2, Resulting Numbers: [28, 25, 2]
Generated Node #0,1: 84:[28, 25, 2] Operation: 98/49=2
Exploring Operation: 98-49=49, Resulting Numbers: [28, 25, 49]
Generated Node #0,2: 84:[28, 25, 49] Operation: 98-49=49
Moving to Node #0,1
Current State: 84:[28, 25, 2], Operations: ['98/49=2']
Exploring Operation: 25-2=23, Resulting Numbers: [28, 23]
Generated Node #0,1,0: 84:[28, 23] Operation: 25-2=23
Exploring Operation: 25+2=27, Resulting Numbers: [28, 27]
Generated Node #0,1,1: 84:[28, 27] Operation: 25+2=27
Exploring Operation: 28-25=3, Resulting Numbers: [2, 3]
Generated Node #0,1,2: 84:[2, 3] Operation: 28-25=3
Moving to Node #0,2
Current State: 84:[28, 25, 49], Operations: ['98-49=49']
Exploring Operation: 49-28=21, Resulting Numbers: [25, 21]
Generated Node #0,2,0: 84:[25, 21] Operation: 49-28=21
Exploring Operation: 28-25=3, Resulting Numbers: [49, 3]
Generated Node #0,2,1: 84:[49, 3] Operation: 28-25=3
Exploring Operation: 49-25=24, Resulting Numbers: [28, 24]
Generated Node #0,2,2: 84:[28, 24] Operation: 49-25=24
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 84:[25, 21], Operations: ['98-49=49', '49-28=21']
Exploring Operation: 25*21=525, Resulting Numbers: [525]
525,84 unequal: No Solution
Exploring Operation: 25+21=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Exploring Operation: 25-21=4, Resulting Numbers: [4]
4,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 84:[28, 24], Operations: ['98-49=49', '49-25=24']
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,84 unequal: No Solution
Exploring Operation: 28+24=52, Resulting Numbers: [52]
52,84 unequal: No Solution
Exploring Operation: 28*24=672, Resulting Numbers: [672]
672,84 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:[49, 3], Operations: ['98-49=49', '28-25=3']
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,84 unequal: No Solution
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Exploring Operation: 49*3=147, Resulting Numbers: [147]
147,84 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:[98, 25, 21], Operations: ['49-28=21']
Exploring Operation: 98-21=77, Resulting Numbers: [25, 77]
Generated Node #0,0,0: 84:[25, 77] Operation: 98-21=77
Exploring Operation: 25-21=4, Resulting Numbers: [98, 4]
Generated Node #0,0,1: 84:[98, 4] Operation: 25-21=4
Exploring Operation: 98-25=73, Resulting Numbers: [21, 73]
Generated Node #0,0,2: 84:[21, 73] Operation: 98-25=73
Moving to Node #0,1,2
Current State: 84:[2, 3], Operations: ['98/49=2', '28-25=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[28, 27], Operations: ['98/49=2', '25+2=27']
Exploring Operation: 28*27=756, Resulting Numbers: [756]
756,84 unequal: No Solution
Exploring Operation: 28-27=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 28+27=55, Resulting Numbers: [55]
55,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[28, 23], Operations: ['98/49=2', '25-2=23']
Exploring Operation: 28+23=51, Resulting Numbers: [51]
51,84 unequal: No Solution
Exploring Operation: 28-23=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 28*23=644, Resulting Numbers: [644]
644,84 unequal: No Solution
Moving to Node #0,0,0
Current State: 84:[25, 77], Operations: ['49-28=21', '98-21=77']
Exploring Operation: 25+77=102, Resulting Numbers: [102]
102,84 unequal: No Solution
Exploring Operation: 25*77=1925, Resulting Numbers: [1925]
1925,84 unequal: No Solution
Exploring Operation: 77-25=52, Resulting Numbers: [52]
52,84 unequal: No Solution
Moving to Node #0,0,2
Current State: 84:[21, 73], Operations: ['49-28=21', '98-25=73']
Exploring Operation: 21+73=94, Resulting Numbers: [94]
94,84 unequal: No Solution
Exploring Operation: 21*73=1533, Resulting Numbers: [1533]
1533,84 unequal: No Solution
Exploring Operation: 73-21=52, Resulting Numbers: [52]
52,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[98, 4], Operations: ['49-28=21', '25-21=4']
Exploring Operation: 98*4=392, Resulting Numbers: [392]
392,84 unequal: No Solution
Exploring Operation: 98-4=94, Resulting Numbers: [94]
94,84 unequal: No Solution
Exploring Operation: 98+4=102, Resulting Numbers: [102]
102,84 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
43,
65,
30,
43
] | 35 | [
"43+65=108",
"30+43=73",
"108-73=35"
] | Current State: 35:[43, 65, 30, 43], Operations: []
Exploring Operation: 43+65=108, Resulting Numbers: [30, 108]
Generated Node #2: [30, 108] from Operation: 43+65=108
Current State: 35:[30, 108], Operations: ['43+65=108']
Exploring Operation: 30+43=73, Resulting Numbers: [108, 73]
Generated Node #3: [108, 73] from Operation: 30+43=73
Current State: 35:[108, 73], Operations: ['43+65=108', '30+43=73']
Exploring Operation: 108-73=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[43, 65, 30, 43], Operations: []
Exploring Operation: 65-30=35, Resulting Numbers: [43, 43, 35]
Generated Node #0,0: 35:[43, 43, 35] Operation: 65-30=35
Exploring Operation: 65-43=22, Resulting Numbers: [30, 43, 22]
Generated Node #0,1: 35:[30, 43, 22] Operation: 65-43=22
Exploring Operation: 65-43=22, Resulting Numbers: [43, 30, 22]
Generated Node #0,2: 35:[43, 30, 22] Operation: 65-43=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[43, 43, 35], Operations: ['65-30=35']
Exploring Operation: 43-35=8, Resulting Numbers: [43, 8]
Generated Node #0,0,0: 35:[43, 8] Operation: 43-35=8
Exploring Operation: 43-43=0, Resulting Numbers: [35, 0]
Generated Node #0,0,1: 35:[35, 0] Operation: 43-43=0
Exploring Operation: 43/43=1, Resulting Numbers: [35, 1]
Generated Node #0,0,2: 35:[35, 1] Operation: 43/43=1
Moving to Node #0,0,2
Current State: 35:[35, 1], Operations: ['65-30=35', '43/43=1']
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[43, 65, 30, 43], Operations: []
Exploring Operation: 65-30=35, Resulting Numbers: [43, 43, 35]
Generated Node #0,0: 35:[43, 43, 35] Operation: 65-30=35
Moving to Node #0,0
Current State: 35:[43, 43, 35], Operations: ['65-30=35']
Exploring Operation: 43/43=1, Resulting Numbers: [35, 1]
Generated Node #0,0,2: 35:[35, 1] Operation: 43/43=1
Moving to Node #0,0,2
Current State: 35:[35, 1], Operations: ['65-30=35', '43/43=1']
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
38,
6,
56,
92
] | 80 | [
"38+6=44",
"92-56=36",
"44+36=80"
] | Current State: 80:[38, 6, 56, 92], Operations: []
Exploring Operation: 38+6=44, Resulting Numbers: [56, 92, 44]
Generated Node #2: [56, 92, 44] from Operation: 38+6=44
Current State: 80:[56, 92, 44], Operations: ['38+6=44']
Exploring Operation: 92-56=36, Resulting Numbers: [44, 36]
Generated Node #3: [44, 36] from Operation: 92-56=36
Current State: 80:[44, 36], Operations: ['38+6=44', '92-56=36']
Exploring Operation: 44+36=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[38, 6, 56, 92], Operations: []
Exploring Operation: 92-6=86, Resulting Numbers: [38, 56, 86]
Generated Node #0,0: 80:[38, 56, 86] Operation: 92-6=86
Exploring Operation: 38+56=94, Resulting Numbers: [6, 92, 94]
Generated Node #0,1: 80:[6, 92, 94] Operation: 38+56=94
Exploring Operation: 56-38=18, Resulting Numbers: [6, 92, 18]
Generated Node #0,2: 80:[6, 92, 18] Operation: 56-38=18
Exploring Operation: 56-6=50, Resulting Numbers: [38, 92, 50]
Generated Node #0,3: 80:[38, 92, 50] Operation: 56-6=50
Exploring Operation: 92-56=36, Resulting Numbers: [38, 6, 36]
Generated Node #0,4: 80:[38, 6, 36] Operation: 92-56=36
Moving to Node #0,4
Current State: 80:[38, 6, 36], Operations: ['92-56=36']
Exploring Operation: 38+36=74, Resulting Numbers: [6, 74]
Generated Node #0,4,0: 80:[6, 74] Operation: 38+36=74
Exploring Operation: 6+36=42, Resulting Numbers: [38, 42]
Generated Node #0,4,1: 80:[38, 42] Operation: 6+36=42
Exploring Operation: 36/6=6, Resulting Numbers: [38, 6]
Generated Node #0,4,2: 80:[38, 6] Operation: 36/6=6
Exploring Operation: 38-36=2, Resulting Numbers: [6, 2]
Generated Node #0,4,3: 80:[6, 2] Operation: 38-36=2
Exploring Operation: 38+6=44, Resulting Numbers: [36, 44]
Generated Node #0,4,4: 80:[36, 44] Operation: 38+6=44
Moving to Node #0,2
Current State: 80:[6, 92, 18], Operations: ['56-38=18']
Exploring Operation: 92-6=86, Resulting Numbers: [18, 86]
Generated Node #0,2,0: 80:[18, 86] Operation: 92-6=86
Exploring Operation: 18/6=3, Resulting Numbers: [92, 3]
Generated Node #0,2,1: 80:[92, 3] Operation: 18/6=3
Exploring Operation: 92-18=74, Resulting Numbers: [6, 74]
Generated Node #0,2,2: 80:[6, 74] Operation: 92-18=74
Exploring Operation: 18-6=12, Resulting Numbers: [92, 12]
Generated Node #0,2,3: 80:[92, 12] Operation: 18-6=12
Exploring Operation: 6+18=24, Resulting Numbers: [92, 24]
Generated Node #0,2,4: 80:[92, 24] Operation: 6+18=24
Moving to Node #0,0
Current State: 80:[38, 56, 86], Operations: ['92-6=86']
Exploring Operation: 38+56=94, Resulting Numbers: [86, 94]
Generated Node #0,0,0: 80:[86, 94] Operation: 38+56=94
Exploring Operation: 38+86=124, Resulting Numbers: [56, 124]
Generated Node #0,0,1: 80:[56, 124] Operation: 38+86=124
Exploring Operation: 86-38=48, Resulting Numbers: [56, 48]
Generated Node #0,0,2: 80:[56, 48] Operation: 86-38=48
Exploring Operation: 56-38=18, Resulting Numbers: [86, 18]
Generated Node #0,0,3: 80:[86, 18] Operation: 56-38=18
Exploring Operation: 86-56=30, Resulting Numbers: [38, 30]
Generated Node #0,0,4: 80:[38, 30] Operation: 86-56=30
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 80:[86, 18], Operations: ['92-6=86', '56-38=18']
Exploring Operation: 86*18=1548, Resulting Numbers: [1548]
1548,80 unequal: No Solution
Exploring Operation: 86+18=104, Resulting Numbers: [104]
104,80 unequal: No Solution
Exploring Operation: 86-18=68, Resulting Numbers: [68]
68,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 80:[38, 30], Operations: ['92-6=86', '86-56=30']
Exploring Operation: 38*30=1140, Resulting Numbers: [1140]
1140,80 unequal: No Solution
Exploring Operation: 38+30=68, Resulting Numbers: [68]
68,80 unequal: No Solution
Exploring Operation: 38-30=8, Resulting Numbers: [8]
8,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[86, 94], Operations: ['92-6=86', '38+56=94']
Exploring Operation: 86+94=180, Resulting Numbers: [180]
180,80 unequal: No Solution
Exploring Operation: 94-86=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 86*94=8084, Resulting Numbers: [8084]
8084,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 80:[56, 48], Operations: ['92-6=86', '86-38=48']
Exploring Operation: 56+48=104, Resulting Numbers: [104]
104,80 unequal: No Solution
Exploring Operation: 56*48=2688, Resulting Numbers: [2688]
2688,80 unequal: No Solution
Exploring Operation: 56-48=8, Resulting Numbers: [8]
8,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 80:[56, 124], Operations: ['92-6=86', '38+86=124']
Exploring Operation: 56*124=6944, Resulting Numbers: [6944]
6944,80 unequal: No Solution
Exploring Operation: 124-56=68, Resulting Numbers: [68]
68,80 unequal: No Solution
Exploring Operation: 56+124=180, Resulting Numbers: [180]
180,80 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: 80:[38, 92, 50], Operations: ['56-6=50']
Exploring Operation: 92-38=54, Resulting Numbers: [50, 54]
Generated Node #0,3,0: 80:[50, 54] Operation: 92-38=54
Exploring Operation: 50-38=12, Resulting Numbers: [92, 12]
Generated Node #0,3,1: 80:[92, 12] Operation: 50-38=12
Exploring Operation: 38+50=88, Resulting Numbers: [92, 88]
Generated Node #0,3,2: 80:[92, 88] Operation: 38+50=88
Exploring Operation: 92-50=42, Resulting Numbers: [38, 42]
Generated Node #0,3,3: 80:[38, 42] Operation: 92-50=42
Exploring Operation: 38+92=130, Resulting Numbers: [50, 130]
Generated Node #0,3,4: 80:[50, 130] Operation: 38+92=130
Moving to Node #0,1
Current State: 80:[6, 92, 94], Operations: ['38+56=94']
Exploring Operation: 94-92=2, Resulting Numbers: [6, 2]
Generated Node #0,1,0: 80:[6, 2] Operation: 94-92=2
Exploring Operation: 92-6=86, Resulting Numbers: [94, 86]
Generated Node #0,1,1: 80:[94, 86] Operation: 92-6=86
Exploring Operation: 94-6=88, Resulting Numbers: [92, 88]
Generated Node #0,1,2: 80:[92, 88] Operation: 94-6=88
Exploring Operation: 6+92=98, Resulting Numbers: [94, 98]
Generated Node #0,1,3: 80:[94, 98] Operation: 6+92=98
Exploring Operation: 6+94=100, Resulting Numbers: [92, 100]
Generated Node #0,1,4: 80:[92, 100] Operation: 6+94=100
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 80:[6, 2], Operations: ['38+56=94', '94-92=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 80:[94, 86], Operations: ['38+56=94', '92-6=86']
Exploring Operation: 94+86=180, Resulting Numbers: [180]
180,80 unequal: No Solution
Exploring Operation: 94*86=8084, Resulting Numbers: [8084]
8084,80 unequal: No Solution
Exploring Operation: 94-86=8, Resulting Numbers: [8]
8,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 80:[92, 88], Operations: ['38+56=94', '94-6=88']
Exploring Operation: 92*88=8096, Resulting Numbers: [8096]
8096,80 unequal: No Solution
Exploring Operation: 92-88=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 92+88=180, Resulting Numbers: [180]
180,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 80:[94, 98], Operations: ['38+56=94', '6+92=98']
Exploring Operation: 98-94=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 94+98=192, Resulting Numbers: [192]
192,80 unequal: No Solution
Exploring Operation: 94*98=9212, Resulting Numbers: [9212]
9212,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 80:[92, 100], Operations: ['38+56=94', '6+94=100']
Exploring Operation: 100-92=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 92*100=9200, Resulting Numbers: [9200]
9200,80 unequal: No Solution
Exploring Operation: 92+100=192, Resulting Numbers: [192]
192,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,3
Current State: 80:[6, 2], Operations: ['92-56=36', '38-36=2']
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Moving to Node #0,4,2
Current State: 80:[38, 6], Operations: ['92-56=36', '36/6=6']
Exploring Operation: 38*6=228, Resulting Numbers: [228]
228,80 unequal: No Solution
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,80 unequal: No Solution
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,80 unequal: No Solution
Moving to Node #0,4,1
Current State: 80:[38, 42], Operations: ['92-56=36', '6+36=42']
Exploring Operation: 42-38=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 38*42=1596, Resulting Numbers: [1596]
1596,80 unequal: No Solution
Exploring Operation: 38+42=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[38, 6, 56, 92], Operations: []
Exploring Operation: 92-56=36, Resulting Numbers: [38, 6, 36]
Generated Node #0,4: 80:[38, 6, 36] Operation: 92-56=36
Moving to Node #0,4
Current State: 80:[38, 6, 36], Operations: ['92-56=36']
Exploring Operation: 6+36=42, Resulting Numbers: [38, 42]
Generated Node #0,4,1: 80:[38, 42] Operation: 6+36=42
Moving to Node #0,4,1
Current State: 80:[38, 42], Operations: ['92-56=36', '6+36=42']
Exploring Operation: 38+42=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 0.934896 | hs_5 | sum_heuristic |
[
8,
29,
49,
9
] | 88 | [
"49-29=20",
"20-9=11",
"8*11=88"
] | Current State: 88:[8, 29, 49, 9], Operations: []
Exploring Operation: 49-29=20, Resulting Numbers: [8, 9, 20]
Generated Node #2: [8, 9, 20] from Operation: 49-29=20
Current State: 88:[8, 9, 20], Operations: ['49-29=20']
Exploring Operation: 20-9=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 20-9=11
Current State: 88:[8, 11], Operations: ['49-29=20', '20-9=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[8, 29, 49, 9], Operations: []
Exploring Operation: 29-8=21, Resulting Numbers: [49, 9, 21]
Generated Node #0,0: 88:[49, 9, 21] Operation: 29-8=21
Exploring Operation: 49-29=20, Resulting Numbers: [8, 9, 20]
Generated Node #0,1: 88:[8, 9, 20] Operation: 49-29=20
Moving to Node #0,1
Current State: 88:[8, 9, 20], Operations: ['49-29=20']
Exploring Operation: 20-9=11, Resulting Numbers: [8, 11]
Generated Node #0,1,0: 88:[8, 11] Operation: 20-9=11
Exploring Operation: 20-8=12, Resulting Numbers: [9, 12]
Generated Node #0,1,1: 88:[9, 12] Operation: 20-8=12
Moving to Node #0,0
Current State: 88:[49, 9, 21], Operations: ['29-8=21']
Exploring Operation: 21-9=12, Resulting Numbers: [49, 12]
Generated Node #0,0,0: 88:[49, 12] Operation: 21-9=12
Exploring Operation: 49-9=40, Resulting Numbers: [21, 40]
Generated Node #0,0,1: 88:[21, 40] Operation: 49-9=40
Moving to Node #0,1,0
Current State: 88:[8, 11], Operations: ['49-29=20', '20-9=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[8, 29, 49, 9], Operations: []
Exploring Operation: 49-29=20, Resulting Numbers: [8, 9, 20]
Generated Node #0,1: 88:[8, 9, 20] Operation: 49-29=20
Moving to Node #0,1
Current State: 88:[8, 9, 20], Operations: ['49-29=20']
Exploring Operation: 20-9=11, Resulting Numbers: [8, 11]
Generated Node #0,1,0: 88:[8, 11] Operation: 20-9=11
Moving to Node #0,1,0
Current State: 88:[8, 11], Operations: ['49-29=20', '20-9=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 0.990451 | hs_2 | mult_heuristic |
[
42,
51,
43,
57
] | 23 | [
"51-42=9",
"57-43=14",
"9+14=23"
] | Current State: 23:[42, 51, 43, 57], Operations: []
Exploring Operation: 51-42=9, Resulting Numbers: [43, 57, 9]
Generated Node #2: [43, 57, 9] from Operation: 51-42=9
Current State: 23:[43, 57, 9], Operations: ['51-42=9']
Exploring Operation: 57-43=14, Resulting Numbers: [9, 14]
Generated Node #3: [9, 14] from Operation: 57-43=14
Current State: 23:[9, 14], Operations: ['51-42=9', '57-43=14']
Exploring Operation: 9+14=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[42, 51, 43, 57], Operations: []
Exploring Operation: 57-43=14, Resulting Numbers: [42, 51, 14]
Generated Node #0,0: 23:[42, 51, 14] Operation: 57-43=14
Exploring Operation: 51-42=9, Resulting Numbers: [43, 57, 9]
Generated Node #0,1: 23:[43, 57, 9] Operation: 51-42=9
Exploring Operation: 57-42=15, Resulting Numbers: [51, 43, 15]
Generated Node #0,2: 23:[51, 43, 15] Operation: 57-42=15
Exploring Operation: 57-51=6, Resulting Numbers: [42, 43, 6]
Generated Node #0,3: 23:[42, 43, 6] Operation: 57-51=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[42, 51, 14], Operations: ['57-43=14']
Exploring Operation: 51-14=37, Resulting Numbers: [42, 37]
Generated Node #0,0,0: 23:[42, 37] Operation: 51-14=37
Exploring Operation: 51-42=9, Resulting Numbers: [14, 9]
Generated Node #0,0,1: 23:[14, 9] Operation: 51-42=9
Exploring Operation: 42-14=28, Resulting Numbers: [51, 28]
Generated Node #0,0,2: 23:[51, 28] Operation: 42-14=28
Exploring Operation: 42/14=3, Resulting Numbers: [51, 3]
Generated Node #0,0,3: 23:[51, 3] Operation: 42/14=3
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 23:[14, 9], Operations: ['57-43=14', '51-42=9']
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[42, 51, 43, 57], Operations: []
Exploring Operation: 57-43=14, Resulting Numbers: [42, 51, 14]
Generated Node #0,0: 23:[42, 51, 14] Operation: 57-43=14
Moving to Node #0,0
Current State: 23:[42, 51, 14], Operations: ['57-43=14']
Exploring Operation: 51-42=9, Resulting Numbers: [14, 9]
Generated Node #0,0,1: 23:[14, 9] Operation: 51-42=9
Moving to Node #0,0,1
Current State: 23:[14, 9], Operations: ['57-43=14', '51-42=9']
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
94,
34,
96,
4
] | 36 | [
"94+34=128",
"96-4=92",
"128-92=36"
] | Current State: 36:[94, 34, 96, 4], Operations: []
Exploring Operation: 94+34=128, Resulting Numbers: [96, 4, 128]
Generated Node #2: [96, 4, 128] from Operation: 94+34=128
Current State: 36:[96, 4, 128], Operations: ['94+34=128']
Exploring Operation: 96-4=92, Resulting Numbers: [128, 92]
Generated Node #3: [128, 92] from Operation: 96-4=92
Current State: 36:[128, 92], Operations: ['94+34=128', '96-4=92']
Exploring Operation: 128-92=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[94, 34, 96, 4], Operations: []
Exploring Operation: 96/4=24, Resulting Numbers: [94, 34, 24]
Generated Node #0,0: 36:[94, 34, 24] Operation: 96/4=24
Exploring Operation: 96-94=2, Resulting Numbers: [34, 4, 2]
Generated Node #0,1: 36:[34, 4, 2] Operation: 96-94=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[34, 4, 2], Operations: ['96-94=2']
Exploring Operation: 34/2=17, Resulting Numbers: [4, 17]
Generated Node #0,1,0: 36:[4, 17] Operation: 34/2=17
Exploring Operation: 34+2=36, Resulting Numbers: [4, 36]
Generated Node #0,1,1: 36:[4, 36] Operation: 34+2=36
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 36:[4, 36], Operations: ['96-94=2', '34+2=36']
Exploring Operation: 4+36=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,36 unequal: No Solution
No 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: 36:[4, 17], Operations: ['96-94=2', '34/2=17']
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,36 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[94, 34, 24], Operations: ['96/4=24']
Exploring Operation: 94-24=70, Resulting Numbers: [34, 70]
Generated Node #0,0,0: 36:[34, 70] Operation: 94-24=70
Exploring Operation: 94-34=60, Resulting Numbers: [24, 60]
Generated Node #0,0,1: 36:[24, 60] Operation: 94-34=60
Moving to Node #0,0,1
Current State: 36:[24, 60], Operations: ['96/4=24', '94-34=60']
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[94, 34, 96, 4], Operations: []
Exploring Operation: 96/4=24, Resulting Numbers: [94, 34, 24]
Generated Node #0,0: 36:[94, 34, 24] Operation: 96/4=24
Moving to Node #0,0
Current State: 36:[94, 34, 24], Operations: ['96/4=24']
Exploring Operation: 94-34=60, Resulting Numbers: [24, 60]
Generated Node #0,0,1: 36:[24, 60] Operation: 94-34=60
Moving to Node #0,0,1
Current State: 36:[24, 60], Operations: ['96/4=24', '94-34=60']
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
55,
82,
71,
12
] | 14 | [
"71*12=852",
"852-82=770",
"770/55=14"
] | Current State: 14:[55, 82, 71, 12], Operations: []
Exploring Operation: 71*12=852, Resulting Numbers: [55, 82, 852]
Generated Node #2: [55, 82, 852] from Operation: 71*12=852
Current State: 14:[55, 82, 852], Operations: ['71*12=852']
Exploring Operation: 852-82=770, Resulting Numbers: [55, 770]
Generated Node #3: [55, 770] from Operation: 852-82=770
Current State: 14:[55, 770], Operations: ['71*12=852', '852-82=770']
Exploring Operation: 770/55=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[55, 82, 71, 12], Operations: []
Exploring Operation: 82-71=11, Resulting Numbers: [55, 12, 11]
Generated Node #0,0: 14:[55, 12, 11] Operation: 82-71=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[55, 12, 11], Operations: ['82-71=11']
Exploring Operation: 55/11=5, Resulting Numbers: [12, 5]
Generated Node #0,0,0: 14:[12, 5] Operation: 55/11=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 14:[12, 5], Operations: ['82-71=11', '55/11=5']
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
51,
4,
22,
14
] | 17 | [
"51+22=73",
"4*14=56",
"73-56=17"
] | Current State: 17:[51, 4, 22, 14], Operations: []
Exploring Operation: 51+22=73, Resulting Numbers: [4, 14, 73]
Generated Node #2: [4, 14, 73] from Operation: 51+22=73
Current State: 17:[4, 14, 73], Operations: ['51+22=73']
Exploring Operation: 4*14=56, Resulting Numbers: [73, 56]
Generated Node #3: [73, 56] from Operation: 4*14=56
Current State: 17:[73, 56], Operations: ['51+22=73', '4*14=56']
Exploring Operation: 73-56=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[51, 4, 22, 14], Operations: []
Exploring Operation: 51-22=29, Resulting Numbers: [4, 14, 29]
Generated Node #0,0: 17:[4, 14, 29] Operation: 51-22=29
Moving to Node #0,0
Current State: 17:[4, 14, 29], Operations: ['51-22=29']
Exploring Operation: 29-4=25, Resulting Numbers: [14, 25]
Generated Node #0,0,0: 17:[14, 25] Operation: 29-4=25
Moving to Node #0,0,0
Current State: 17:[14, 25], Operations: ['51-22=29', '29-4=25']
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,17 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
88,
96,
49,
53
] | 74 | [
"53-49=4",
"88/4=22",
"96-22=74"
] | Current State: 74:[88, 96, 49, 53], Operations: []
Exploring Operation: 53-49=4, Resulting Numbers: [88, 96, 4]
Generated Node #2: [88, 96, 4] from Operation: 53-49=4
Current State: 74:[88, 96, 4], Operations: ['53-49=4']
Exploring Operation: 88/4=22, Resulting Numbers: [96, 22]
Generated Node #3: [96, 22] from Operation: 88/4=22
Current State: 74:[96, 22], Operations: ['53-49=4', '88/4=22']
Exploring Operation: 96-22=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[88, 96, 49, 53], Operations: []
Exploring Operation: 96-88=8, Resulting Numbers: [49, 53, 8]
Generated Node #0,0: 74:[49, 53, 8] Operation: 96-88=8
Exploring Operation: 96-53=43, Resulting Numbers: [88, 49, 43]
Generated Node #0,1: 74:[88, 49, 43] Operation: 96-53=43
Exploring Operation: 88-53=35, Resulting Numbers: [96, 49, 35]
Generated Node #0,2: 74:[96, 49, 35] Operation: 88-53=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[88, 49, 43], Operations: ['96-53=43']
Exploring Operation: 88-43=45, Resulting Numbers: [49, 45]
Generated Node #0,1,0: 74:[49, 45] Operation: 88-43=45
Exploring Operation: 88-49=39, Resulting Numbers: [43, 39]
Generated Node #0,1,1: 74:[43, 39] Operation: 88-49=39
Exploring Operation: 49-43=6, Resulting Numbers: [88, 6]
Generated Node #0,1,2: 74:[88, 6] Operation: 49-43=6
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 74:[43, 39], Operations: ['96-53=43', '88-49=39']
Exploring Operation: 43*39=1677, Resulting Numbers: [1677]
1677,74 unequal: No Solution
Exploring Operation: 43+39=82, Resulting Numbers: [82]
82,74 unequal: No Solution
Exploring Operation: 43-39=4, Resulting Numbers: [4]
4,74 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 #0,1,2
Current State: 74:[88, 6], Operations: ['96-53=43', '49-43=6']
Exploring Operation: 88-6=82, Resulting Numbers: [82]
82,74 unequal: No Solution
Exploring Operation: 88*6=528, Resulting Numbers: [528]
528,74 unequal: No Solution
Exploring Operation: 88+6=94, Resulting Numbers: [94]
94,74 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 #0,1,0
Current State: 74:[49, 45], Operations: ['96-53=43', '88-43=45']
Exploring Operation: 49-45=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Exploring Operation: 49*45=2205, Resulting Numbers: [2205]
2205,74 unequal: No Solution
Exploring Operation: 49+45=94, Resulting Numbers: [94]
94,74 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 #0,0
Current State: 74:[49, 53, 8], Operations: ['96-88=8']
Exploring Operation: 53-8=45, Resulting Numbers: [49, 45]
Generated Node #0,0,0: 74:[49, 45] Operation: 53-8=45
Exploring Operation: 53-49=4, Resulting Numbers: [8, 4]
Generated Node #0,0,1: 74:[8, 4] Operation: 53-49=4
Exploring Operation: 49-8=41, Resulting Numbers: [53, 41]
Generated Node #0,0,2: 74:[53, 41] Operation: 49-8=41
Moving to Node #0,0,1
Current State: 74:[8, 4], Operations: ['96-88=8', '53-49=4']
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,74 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Moving to Node #0,0,0
Current State: 74:[49, 45], Operations: ['96-88=8', '53-8=45']
Exploring Operation: 49*45=2205, Resulting Numbers: [2205]
2205,74 unequal: No Solution
Exploring Operation: 49-45=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Exploring Operation: 49+45=94, Resulting Numbers: [94]
94,74 unequal: No Solution
Moving to Node #0,0,2
Current State: 74:[53, 41], Operations: ['96-88=8', '49-8=41']
Exploring Operation: 53*41=2173, Resulting Numbers: [2173]
2173,74 unequal: No Solution
Exploring Operation: 53-41=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 53+41=94, Resulting Numbers: [94]
94,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 74:[96, 49, 35], Operations: ['88-53=35']
Exploring Operation: 96-49=47, Resulting Numbers: [35, 47]
Generated Node #0,2,0: 74:[35, 47] Operation: 96-49=47
Exploring Operation: 96-35=61, Resulting Numbers: [49, 61]
Generated Node #0,2,1: 74:[49, 61] Operation: 96-35=61
Exploring Operation: 49+35=84, Resulting Numbers: [96, 84]
Generated Node #0,2,2: 74:[96, 84] Operation: 49+35=84
Moving to Node #0,2,0
Current State: 74:[35, 47], Operations: ['88-53=35', '96-49=47']
Exploring Operation: 35*47=1645, Resulting Numbers: [1645]
1645,74 unequal: No Solution
Exploring Operation: 47-35=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 35+47=82, Resulting Numbers: [82]
82,74 unequal: No Solution
Moving to Node #0,2,1
Current State: 74:[49, 61], Operations: ['88-53=35', '96-35=61']
Exploring Operation: 61-49=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 49*61=2989, Resulting Numbers: [2989]
2989,74 unequal: No Solution
Exploring Operation: 49+61=110, Resulting Numbers: [110]
110,74 unequal: No Solution
Moving to Node #0,2,2
Current State: 74:[96, 84], Operations: ['88-53=35', '49+35=84']
Exploring Operation: 96*84=8064, Resulting Numbers: [8064]
8064,74 unequal: No Solution
Exploring Operation: 96-84=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 96+84=180, Resulting Numbers: [180]
180,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
92,
93,
90,
49
] | 47 | [
"92+49=141",
"93-90=3",
"141/3=47"
] | Current State: 47:[92, 93, 90, 49], Operations: []
Exploring Operation: 92+49=141, Resulting Numbers: [93, 90, 141]
Generated Node #2: [93, 90, 141] from Operation: 92+49=141
Current State: 47:[93, 90, 141], Operations: ['92+49=141']
Exploring Operation: 93-90=3, Resulting Numbers: [141, 3]
Generated Node #3: [141, 3] from Operation: 93-90=3
Current State: 47:[141, 3], Operations: ['92+49=141', '93-90=3']
Exploring Operation: 141/3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[92, 93, 90, 49], Operations: []
Exploring Operation: 93-92=1, Resulting Numbers: [90, 49, 1]
Generated Node #0,0: 47:[90, 49, 1] Operation: 93-92=1
Moving to Node #0,0
Current State: 47:[90, 49, 1], Operations: ['93-92=1']
Exploring Operation: 90-1=89, Resulting Numbers: [49, 89]
Generated Node #0,0,0: 47:[49, 89] Operation: 90-1=89
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[49, 89], Operations: ['93-92=1', '90-1=89']
Exploring Operation: 89-49=40, Resulting Numbers: [40]
40,47 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 |
[
6,
58,
79,
36
] | 95 | [
"58-6=52",
"79-36=43",
"52+43=95"
] | Current State: 95:[6, 58, 79, 36], Operations: []
Exploring Operation: 58-6=52, Resulting Numbers: [79, 36, 52]
Generated Node #2: [79, 36, 52] from Operation: 58-6=52
Current State: 95:[79, 36, 52], Operations: ['58-6=52']
Exploring Operation: 79-36=43, Resulting Numbers: [52, 43]
Generated Node #3: [52, 43] from Operation: 79-36=43
Current State: 95:[52, 43], Operations: ['58-6=52', '79-36=43']
Exploring Operation: 52+43=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[6, 58, 79, 36], Operations: []
Exploring Operation: 58+36=94, Resulting Numbers: [6, 79, 94]
Generated Node #0,0: 95:[6, 79, 94] Operation: 58+36=94
Exploring Operation: 79-58=21, Resulting Numbers: [6, 36, 21]
Generated Node #0,1: 95:[6, 36, 21] Operation: 79-58=21
Exploring Operation: 58-36=22, Resulting Numbers: [6, 79, 22]
Generated Node #0,2: 95:[6, 79, 22] Operation: 58-36=22
Exploring Operation: 36/6=6, Resulting Numbers: [58, 79, 6]
Generated Node #0,3: 95:[58, 79, 6] Operation: 36/6=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[6, 79, 94], Operations: ['58+36=94']
Exploring Operation: 6+94=100, Resulting Numbers: [79, 100]
Generated Node #0,0,0: 95:[79, 100] Operation: 6+94=100
Exploring Operation: 6+79=85, Resulting Numbers: [94, 85]
Generated Node #0,0,1: 95:[94, 85] Operation: 6+79=85
Exploring Operation: 94-79=15, Resulting Numbers: [6, 15]
Generated Node #0,0,2: 95:[6, 15] Operation: 94-79=15
Exploring Operation: 79-6=73, Resulting Numbers: [94, 73]
Generated Node #0,0,3: 95:[94, 73] Operation: 79-6=73
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 95:[6, 15], Operations: ['58+36=94', '94-79=15']
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,95 unequal: No Solution
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 95:[94, 85], Operations: ['58+36=94', '6+79=85']
Exploring Operation: 94*85=7990, Resulting Numbers: [7990]
7990,95 unequal: No Solution
Exploring Operation: 94-85=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 94+85=179, Resulting Numbers: [179]
179,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[79, 100], Operations: ['58+36=94', '6+94=100']
Exploring Operation: 100-79=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Exploring Operation: 79*100=7900, Resulting Numbers: [7900]
7900,95 unequal: No Solution
Exploring Operation: 79+100=179, Resulting Numbers: [179]
179,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 95:[94, 73], Operations: ['58+36=94', '79-6=73']
Exploring Operation: 94+73=167, Resulting Numbers: [167]
167,95 unequal: No Solution
Exploring Operation: 94*73=6862, Resulting Numbers: [6862]
6862,95 unequal: No Solution
Exploring Operation: 94-73=21, Resulting Numbers: [21]
21,95 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: 95:[6, 36, 21], Operations: ['79-58=21']
Exploring Operation: 36-21=15, Resulting Numbers: [6, 15]
Generated Node #0,1,0: 95:[6, 15] Operation: 36-21=15
Exploring Operation: 36/6=6, Resulting Numbers: [21, 6]
Generated Node #0,1,1: 95:[21, 6] Operation: 36/6=6
Exploring Operation: 21-6=15, Resulting Numbers: [36, 15]
Generated Node #0,1,2: 95:[36, 15] Operation: 21-6=15
Exploring Operation: 36-6=30, Resulting Numbers: [21, 30]
Generated Node #0,1,3: 95:[21, 30] Operation: 36-6=30
Moving to Node #0,1,1
Current State: 95:[21, 6], Operations: ['79-58=21', '36/6=6']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,95 unequal: No Solution
Exploring Operation: 21*6=126, Resulting Numbers: [126]
126,95 unequal: No Solution
Exploring Operation: 21+6=27, Resulting Numbers: [27]
27,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[6, 15], Operations: ['79-58=21', '36-21=15']
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,95 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Moving to Node #0,1,3
Current State: 95:[21, 30], Operations: ['79-58=21', '36-6=30']
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,95 unequal: No Solution
Exploring Operation: 21*30=630, Resulting Numbers: [630]
630,95 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Moving to Node #0,1,2
Current State: 95:[36, 15], Operations: ['79-58=21', '21-6=15']
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Exploring Operation: 36+15=51, Resulting Numbers: [51]
51,95 unequal: No Solution
Exploring Operation: 36*15=540, Resulting Numbers: [540]
540,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[6, 79, 22], Operations: ['58-36=22']
Exploring Operation: 6+79=85, Resulting Numbers: [22, 85]
Generated Node #0,2,0: 95:[22, 85] Operation: 6+79=85
Exploring Operation: 79+22=101, Resulting Numbers: [6, 101]
Generated Node #0,2,1: 95:[6, 101] Operation: 79+22=101
Exploring Operation: 22-6=16, Resulting Numbers: [79, 16]
Generated Node #0,2,2: 95:[79, 16] Operation: 22-6=16
Exploring Operation: 79-6=73, Resulting Numbers: [22, 73]
Generated Node #0,2,3: 95:[22, 73] Operation: 79-6=73
Moving to Node #0,2,1
Current State: 95:[6, 101], Operations: ['58-36=22', '79+22=101']
Exploring Operation: 6+101=107, Resulting Numbers: [107]
107,95 unequal: No Solution
Exploring Operation: 101-6=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[6, 58, 79, 36], Operations: []
Exploring Operation: 58-36=22, Resulting Numbers: [6, 79, 22]
Generated Node #0,2: 95:[6, 79, 22] Operation: 58-36=22
Moving to Node #0,2
Current State: 95:[6, 79, 22], Operations: ['58-36=22']
Exploring Operation: 79+22=101, Resulting Numbers: [6, 101]
Generated Node #0,2,1: 95:[6, 101] Operation: 79+22=101
Moving to Node #0,2,1
Current State: 95:[6, 101], Operations: ['58-36=22', '79+22=101']
Exploring Operation: 101-6=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.960069 | hs_4 | mult_heuristic |
[
64,
21,
17,
63
] | 39 | [
"64+21=85",
"63-17=46",
"85-46=39"
] | Current State: 39:[64, 21, 17, 63], Operations: []
Exploring Operation: 64+21=85, Resulting Numbers: [17, 63, 85]
Generated Node #2: [17, 63, 85] from Operation: 64+21=85
Current State: 39:[17, 63, 85], Operations: ['64+21=85']
Exploring Operation: 63-17=46, Resulting Numbers: [85, 46]
Generated Node #3: [85, 46] from Operation: 63-17=46
Current State: 39:[85, 46], Operations: ['64+21=85', '63-17=46']
Exploring Operation: 85-46=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[64, 21, 17, 63], Operations: []
Exploring Operation: 64-21=43, Resulting Numbers: [17, 63, 43]
Generated Node #0,0: 39:[17, 63, 43] Operation: 64-21=43
Exploring Operation: 63/21=3, Resulting Numbers: [64, 17, 3]
Generated Node #0,1: 39:[64, 17, 3] Operation: 63/21=3
Exploring Operation: 64-63=1, Resulting Numbers: [21, 17, 1]
Generated Node #0,2: 39:[21, 17, 1] Operation: 64-63=1
Exploring Operation: 63-21=42, Resulting Numbers: [64, 17, 42]
Generated Node #0,3: 39:[64, 17, 42] Operation: 63-21=42
Moving to Node #0,2
Current State: 39:[21, 17, 1], Operations: ['64-63=1']
Exploring Operation: 17-1=16, Resulting Numbers: [21, 16]
Generated Node #0,2,0: 39:[21, 16] Operation: 17-1=16
Exploring Operation: 21-17=4, Resulting Numbers: [1, 4]
Generated Node #0,2,1: 39:[1, 4] Operation: 21-17=4
Exploring Operation: 21+17=38, Resulting Numbers: [1, 38]
Generated Node #0,2,2: 39:[1, 38] Operation: 21+17=38
Exploring Operation: 21-1=20, Resulting Numbers: [17, 20]
Generated Node #0,2,3: 39:[17, 20] Operation: 21-1=20
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 39:[1, 4], Operations: ['64-63=1', '21-17=4']
Exploring Operation: 1*4=4, Resulting Numbers: [4]
4,39 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,39 unequal: No Solution
Exploring Operation: 1+4=5, Resulting Numbers: [5]
5,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 39:[1, 38], Operations: ['64-63=1', '21+17=38']
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,39 unequal: No Solution
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 1+38=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[64, 21, 17, 63], Operations: []
Exploring Operation: 64-63=1, Resulting Numbers: [21, 17, 1]
Generated Node #0,2: 39:[21, 17, 1] Operation: 64-63=1
Moving to Node #0,2
Current State: 39:[21, 17, 1], Operations: ['64-63=1']
Exploring Operation: 21+17=38, Resulting Numbers: [1, 38]
Generated Node #0,2,2: 39:[1, 38] Operation: 21+17=38
Moving to Node #0,2,2
Current State: 39:[1, 38], Operations: ['64-63=1', '21+17=38']
Exploring Operation: 1+38=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
6,
17,
7,
23
] | 84 | [
"17-6=11",
"23-11=12",
"7*12=84"
] | Current State: 84:[6, 17, 7, 23], Operations: []
Exploring Operation: 17-6=11, Resulting Numbers: [7, 23, 11]
Generated Node #2: [7, 23, 11] from Operation: 17-6=11
Current State: 84:[7, 23, 11], Operations: ['17-6=11']
Exploring Operation: 23-11=12, Resulting Numbers: [7, 12]
Generated Node #3: [7, 12] from Operation: 23-11=12
Current State: 84:[7, 12], Operations: ['17-6=11', '23-11=12']
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[6, 17, 7, 23], Operations: []
Exploring Operation: 23-17=6, Resulting Numbers: [6, 7, 6]
Generated Node #0,0: 84:[6, 7, 6] Operation: 23-17=6
Moving to Node #0,0
Current State: 84:[6, 7, 6], Operations: ['23-17=6']
Exploring Operation: 6*7=42, Resulting Numbers: [6, 42]
Generated Node #0,0,0: 84:[6, 42] Operation: 6*7=42
Moving to Node #0,0,0
Current State: 84:[6, 42], Operations: ['23-17=6', '6*7=42']
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,84 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
6,
21,
5,
91
] | 100 | [
"6*5=30",
"91-21=70",
"30+70=100"
] | Current State: 100:[6, 21, 5, 91], Operations: []
Exploring Operation: 6*5=30, Resulting Numbers: [21, 91, 30]
Generated Node #2: [21, 91, 30] from Operation: 6*5=30
Current State: 100:[21, 91, 30], Operations: ['6*5=30']
Exploring Operation: 91-21=70, Resulting Numbers: [30, 70]
Generated Node #3: [30, 70] from Operation: 91-21=70
Current State: 100:[30, 70], Operations: ['6*5=30', '91-21=70']
Exploring Operation: 30+70=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[6, 21, 5, 91], Operations: []
Exploring Operation: 5+91=96, Resulting Numbers: [6, 21, 96]
Generated Node #0,0: 100:[6, 21, 96] Operation: 5+91=96
Exploring Operation: 6+91=97, Resulting Numbers: [21, 5, 97]
Generated Node #0,1: 100:[21, 5, 97] Operation: 6+91=97
Moving to Node #0,1
Current State: 100:[21, 5, 97], Operations: ['6+91=97']
Exploring Operation: 21+5=26, Resulting Numbers: [97, 26]
Generated Node #0,1,0: 100:[97, 26] Operation: 21+5=26
Exploring Operation: 5+97=102, Resulting Numbers: [21, 102]
Generated Node #0,1,1: 100:[21, 102] Operation: 5+97=102
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 100:[21, 102], Operations: ['6+91=97', '5+97=102']
Exploring Operation: 102-21=81, Resulting Numbers: [81]
81,100 unequal: No Solution
Exploring Operation: 21+102=123, Resulting Numbers: [123]
123,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[97, 26], Operations: ['6+91=97', '21+5=26']
Exploring Operation: 97-26=71, Resulting Numbers: [71]
71,100 unequal: No Solution
Exploring Operation: 97+26=123, Resulting Numbers: [123]
123,100 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: 100:[6, 21, 96], Operations: ['5+91=96']
Exploring Operation: 6+96=102, Resulting Numbers: [21, 102]
Generated Node #0,0,0: 100:[21, 102] Operation: 6+96=102
Exploring Operation: 96/6=16, Resulting Numbers: [21, 16]
Generated Node #0,0,1: 100:[21, 16] Operation: 96/6=16
Moving to Node #0,0,0
Current State: 100:[21, 102], Operations: ['5+91=96', '6+96=102']
Exploring Operation: 21+102=123, Resulting Numbers: [123]
123,100 unequal: No Solution
Exploring Operation: 102-21=81, Resulting Numbers: [81]
81,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[21, 16], Operations: ['5+91=96', '96/6=16']
Exploring Operation: 21-16=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Exploring Operation: 21+16=37, Resulting Numbers: [37]
37,100 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
22,
77,
32,
40
] | 17 | [
"77-22=55",
"32+40=72",
"72-55=17"
] | Current State: 17:[22, 77, 32, 40], Operations: []
Exploring Operation: 77-22=55, Resulting Numbers: [32, 40, 55]
Generated Node #2: [32, 40, 55] from Operation: 77-22=55
Current State: 17:[32, 40, 55], Operations: ['77-22=55']
Exploring Operation: 32+40=72, Resulting Numbers: [55, 72]
Generated Node #3: [55, 72] from Operation: 32+40=72
Current State: 17:[55, 72], Operations: ['77-22=55', '32+40=72']
Exploring Operation: 72-55=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[22, 77, 32, 40], Operations: []
Exploring Operation: 77-32=45, Resulting Numbers: [22, 40, 45]
Generated Node #0,0: 17:[22, 40, 45] Operation: 77-32=45
Exploring Operation: 77-40=37, Resulting Numbers: [22, 32, 37]
Generated Node #0,1: 17:[22, 32, 37] Operation: 77-40=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[22, 32, 37], Operations: ['77-40=37']
Exploring Operation: 37-32=5, Resulting Numbers: [22, 5]
Generated Node #0,1,0: 17:[22, 5] Operation: 37-32=5
Exploring Operation: 37-22=15, Resulting Numbers: [32, 15]
Generated Node #0,1,1: 17:[32, 15] Operation: 37-22=15
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 17:[22, 5], Operations: ['77-40=37', '37-32=5']
Exploring Operation: 22+5=27, Resulting Numbers: [27]
27,17 unequal: No Solution
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[22, 77, 32, 40], Operations: []
Exploring Operation: 77-40=37, Resulting Numbers: [22, 32, 37]
Generated Node #0,1: 17:[22, 32, 37] Operation: 77-40=37
Moving to Node #0,1
Current State: 17:[22, 32, 37], Operations: ['77-40=37']
Exploring Operation: 37-32=5, Resulting Numbers: [22, 5]
Generated Node #0,1,0: 17:[22, 5] Operation: 37-32=5
Moving to Node #0,1,0
Current State: 17:[22, 5], Operations: ['77-40=37', '37-32=5']
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
14,
53,
19,
91
] | 16 | [
"91-53=38",
"38/19=2",
"14+2=16"
] | Current State: 16:[14, 53, 19, 91], Operations: []
Exploring Operation: 91-53=38, Resulting Numbers: [14, 19, 38]
Generated Node #2: [14, 19, 38] from Operation: 91-53=38
Current State: 16:[14, 19, 38], Operations: ['91-53=38']
Exploring Operation: 38/19=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 38/19=2
Current State: 16:[14, 2], Operations: ['91-53=38', '38/19=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[14, 53, 19, 91], Operations: []
Exploring Operation: 91-53=38, Resulting Numbers: [14, 19, 38]
Generated Node #0,0: 16:[14, 19, 38] Operation: 91-53=38
Exploring Operation: 53-19=34, Resulting Numbers: [14, 91, 34]
Generated Node #0,1: 16:[14, 91, 34] Operation: 53-19=34
Moving to Node #0,0
Current State: 16:[14, 19, 38], Operations: ['91-53=38']
Exploring Operation: 38-19=19, Resulting Numbers: [14, 19]
Generated Node #0,0,0: 16:[14, 19] Operation: 38-19=19
Exploring Operation: 38/19=2, Resulting Numbers: [14, 2]
Generated Node #0,0,1: 16:[14, 2] Operation: 38/19=2
Moving to Node #0,1
Current State: 16:[14, 91, 34], Operations: ['53-19=34']
Exploring Operation: 91-14=77, Resulting Numbers: [34, 77]
Generated Node #0,1,0: 16:[34, 77] Operation: 91-14=77
Exploring Operation: 91-34=57, Resulting Numbers: [14, 57]
Generated Node #0,1,1: 16:[14, 57] Operation: 91-34=57
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 16:[14, 57], Operations: ['53-19=34', '91-34=57']
Exploring Operation: 14+57=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 16:[34, 77], Operations: ['53-19=34', '91-14=77']
Exploring Operation: 34+77=111, Resulting Numbers: [111]
111,16 unequal: No Solution
Exploring Operation: 77-34=43, Resulting Numbers: [43]
43,16 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: 16:[14, 2], Operations: ['91-53=38', '38/19=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[14, 53, 19, 91], Operations: []
Exploring Operation: 91-53=38, Resulting Numbers: [14, 19, 38]
Generated Node #0,0: 16:[14, 19, 38] Operation: 91-53=38
Moving to Node #0,0
Current State: 16:[14, 19, 38], Operations: ['91-53=38']
Exploring Operation: 38/19=2, Resulting Numbers: [14, 2]
Generated Node #0,0,1: 16:[14, 2] Operation: 38/19=2
Moving to Node #0,0,1
Current State: 16:[14, 2], Operations: ['91-53=38', '38/19=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
48,
75,
17,
43
] | 60 | [
"48*75=3600",
"17+43=60",
"3600/60=60"
] | Current State: 60:[48, 75, 17, 43], Operations: []
Exploring Operation: 48*75=3600, Resulting Numbers: [17, 43, 3600]
Generated Node #2: [17, 43, 3600] from Operation: 48*75=3600
Current State: 60:[17, 43, 3600], Operations: ['48*75=3600']
Exploring Operation: 17+43=60, Resulting Numbers: [3600, 60]
Generated Node #3: [3600, 60] from Operation: 17+43=60
Current State: 60:[3600, 60], Operations: ['48*75=3600', '17+43=60']
Exploring Operation: 3600/60=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[48, 75, 17, 43], Operations: []
Exploring Operation: 75-43=32, Resulting Numbers: [48, 17, 32]
Generated Node #0,0: 60:[48, 17, 32] Operation: 75-43=32
Exploring Operation: 75-48=27, Resulting Numbers: [17, 43, 27]
Generated Node #0,1: 60:[17, 43, 27] Operation: 75-48=27
Exploring Operation: 48-43=5, Resulting Numbers: [75, 17, 5]
Generated Node #0,2: 60:[75, 17, 5] Operation: 48-43=5
Moving to Node #0,0
Current State: 60:[48, 17, 32], Operations: ['75-43=32']
Exploring Operation: 48+17=65, Resulting Numbers: [32, 65]
Generated Node #0,0,0: 60:[32, 65] Operation: 48+17=65
Exploring Operation: 48-17=31, Resulting Numbers: [32, 31]
Generated Node #0,0,1: 60:[32, 31] Operation: 48-17=31
Exploring Operation: 48-32=16, Resulting Numbers: [17, 16]
Generated Node #0,0,2: 60:[17, 16] Operation: 48-32=16
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 60:[32, 31], Operations: ['75-43=32', '48-17=31']
Exploring Operation: 32*31=992, Resulting Numbers: [992]
992,60 unequal: No Solution
Exploring Operation: 32+31=63, Resulting Numbers: [63]
63,60 unequal: No Solution
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,60 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 #0,0,2
Current State: 60:[17, 16], Operations: ['75-43=32', '48-32=16']
Exploring Operation: 17*16=272, Resulting Numbers: [272]
272,60 unequal: No Solution
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,60 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 #0,0,0
Current State: 60:[32, 65], Operations: ['75-43=32', '48+17=65']
Exploring Operation: 32*65=2080, Resulting Numbers: [2080]
2080,60 unequal: No Solution
Exploring Operation: 65-32=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Exploring Operation: 32+65=97, Resulting Numbers: [97]
97,60 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: 60:[75, 17, 5], Operations: ['48-43=5']
Exploring Operation: 75/5=15, Resulting Numbers: [17, 15]
Generated Node #0,2,0: 60:[17, 15] Operation: 75/5=15
Exploring Operation: 75-17=58, Resulting Numbers: [5, 58]
Generated Node #0,2,1: 60:[5, 58] Operation: 75-17=58
Exploring Operation: 75-5=70, Resulting Numbers: [17, 70]
Generated Node #0,2,2: 60:[17, 70] Operation: 75-5=70
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 60:[17, 15], Operations: ['48-43=5', '75/5=15']
Exploring Operation: 17-15=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 17*15=255, Resulting Numbers: [255]
255,60 unequal: No Solution
Exploring Operation: 17+15=32, Resulting Numbers: [32]
32,60 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 #0,2,1
Current State: 60:[5, 58], Operations: ['48-43=5', '75-17=58']
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,60 unequal: No Solution
Exploring Operation: 5*58=290, Resulting Numbers: [290]
290,60 unequal: No Solution
Exploring Operation: 5+58=63, Resulting Numbers: [63]
63,60 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 #0,2,2
Current State: 60:[17, 70], Operations: ['48-43=5', '75-5=70']
Exploring Operation: 17+70=87, Resulting Numbers: [87]
87,60 unequal: No Solution
Exploring Operation: 70-17=53, Resulting Numbers: [53]
53,60 unequal: No Solution
Exploring Operation: 17*70=1190, Resulting Numbers: [1190]
1190,60 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: 60:[17, 43, 27], Operations: ['75-48=27']
Exploring Operation: 43-17=26, Resulting Numbers: [27, 26]
Generated Node #0,1,0: 60:[27, 26] Operation: 43-17=26
Exploring Operation: 43-27=16, Resulting Numbers: [17, 16]
Generated Node #0,1,1: 60:[17, 16] Operation: 43-27=16
Exploring Operation: 17+43=60, Resulting Numbers: [27, 60]
Generated Node #0,1,2: 60:[27, 60] Operation: 17+43=60
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 60:[17, 16], Operations: ['75-48=27', '43-27=16']
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Exploring Operation: 17*16=272, Resulting Numbers: [272]
272,60 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 #0,1,2
Current State: 60:[27, 60], Operations: ['75-48=27', '17+43=60']
Exploring Operation: 60-27=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Exploring Operation: 27*60=1620, Resulting Numbers: [1620]
1620,60 unequal: No Solution
Exploring Operation: 27+60=87, Resulting Numbers: [87]
87,60 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 #0,1,0
Current State: 60:[27, 26], Operations: ['75-48=27', '43-17=26']
Exploring Operation: 27*26=702, Resulting Numbers: [702]
702,60 unequal: No Solution
Exploring Operation: 27+26=53, Resulting Numbers: [53]
53,60 unequal: No Solution
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
8,
18,
27,
30
] | 24 | [
"18-8=10",
"30/10=3",
"27-3=24"
] | Current State: 24:[8, 18, 27, 30], Operations: []
Exploring Operation: 18-8=10, Resulting Numbers: [27, 30, 10]
Generated Node #2: [27, 30, 10] from Operation: 18-8=10
Current State: 24:[27, 30, 10], Operations: ['18-8=10']
Exploring Operation: 30/10=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 30/10=3
Current State: 24:[27, 3], Operations: ['18-8=10', '30/10=3']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[8, 18, 27, 30], Operations: []
Exploring Operation: 30-18=12, Resulting Numbers: [8, 27, 12]
Generated Node #0,0: 24:[8, 27, 12] Operation: 30-18=12
Exploring Operation: 30-27=3, Resulting Numbers: [8, 18, 3]
Generated Node #0,1: 24:[8, 18, 3] Operation: 30-27=3
Exploring Operation: 8+18=26, Resulting Numbers: [27, 30, 26]
Generated Node #0,2: 24:[27, 30, 26] Operation: 8+18=26
Exploring Operation: 27-18=9, Resulting Numbers: [8, 30, 9]
Generated Node #0,3: 24:[8, 30, 9] Operation: 27-18=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[8, 27, 12], Operations: ['30-18=12']
Exploring Operation: 27-8=19, Resulting Numbers: [12, 19]
Generated Node #0,0,0: 24:[12, 19] Operation: 27-8=19
Exploring Operation: 27-12=15, Resulting Numbers: [8, 15]
Generated Node #0,0,1: 24:[8, 15] Operation: 27-12=15
Exploring Operation: 12-8=4, Resulting Numbers: [27, 4]
Generated Node #0,0,2: 24:[27, 4] Operation: 12-8=4
Exploring Operation: 8+12=20, Resulting Numbers: [27, 20]
Generated Node #0,0,3: 24:[27, 20] Operation: 8+12=20
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 24:[8, 15], Operations: ['30-18=12', '27-12=15']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,24 unequal: No Solution
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,24 unequal: No Solution
Exploring Operation: 8*15=120, Resulting Numbers: [120]
120,24 unequal: No Solution
No 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: 24:[27, 4], Operations: ['30-18=12', '12-8=4']
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,24 unequal: No Solution
Exploring Operation: 27*4=108, Resulting Numbers: [108]
108,24 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,24 unequal: No Solution
No 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: 24:[12, 19], Operations: ['30-18=12', '27-8=19']
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,24 unequal: No Solution
Exploring Operation: 12*19=228, Resulting Numbers: [228]
228,24 unequal: No Solution
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,24 unequal: No Solution
No 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: 24:[27, 20], Operations: ['30-18=12', '8+12=20']
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,24 unequal: No Solution
Exploring Operation: 27+20=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 27*20=540, Resulting Numbers: [540]
540,24 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: 24:[8, 18, 3], Operations: ['30-27=3']
Exploring Operation: 8+18=26, Resulting Numbers: [3, 26]
Generated Node #0,1,0: 24:[3, 26] Operation: 8+18=26
Exploring Operation: 18-8=10, Resulting Numbers: [3, 10]
Generated Node #0,1,1: 24:[3, 10] Operation: 18-8=10
Exploring Operation: 18/3=6, Resulting Numbers: [8, 6]
Generated Node #0,1,2: 24:[8, 6] Operation: 18/3=6
Exploring Operation: 18+3=21, Resulting Numbers: [8, 21]
Generated Node #0,1,3: 24:[8, 21] Operation: 18+3=21
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 24:[8, 6], Operations: ['30-27=3', '18/3=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,24 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,24 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,24 unequal: No Solution
No 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: 24:[3, 26], Operations: ['30-27=3', '8+18=26']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,24 unequal: No Solution
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,24 unequal: No Solution
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,24 unequal: No Solution
No 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: 24:[3, 10], Operations: ['30-27=3', '18-8=10']
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,24 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,24 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,24 unequal: No Solution
No 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: 24:[8, 21], Operations: ['30-27=3', '18+3=21']
Exploring Operation: 8+21=29, Resulting Numbers: [29]
29,24 unequal: No Solution
Exploring Operation: 8*21=168, Resulting Numbers: [168]
168,24 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,24 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: 24:[8, 30, 9], Operations: ['27-18=9']
Exploring Operation: 8+9=17, Resulting Numbers: [30, 17]
Generated Node #0,3,0: 24:[30, 17] Operation: 8+9=17
Exploring Operation: 9-8=1, Resulting Numbers: [30, 1]
Generated Node #0,3,1: 24:[30, 1] Operation: 9-8=1
Exploring Operation: 30-8=22, Resulting Numbers: [9, 22]
Generated Node #0,3,2: 24:[9, 22] Operation: 30-8=22
Exploring Operation: 30-9=21, Resulting Numbers: [8, 21]
Generated Node #0,3,3: 24:[8, 21] Operation: 30-9=21
Moving to Node #0,3,2
Current State: 24:[9, 22], Operations: ['27-18=9', '30-8=22']
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,24 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,24 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,24 unequal: No Solution
Moving to Node #0,3,3
Current State: 24:[8, 21], Operations: ['27-18=9', '30-9=21']
Exploring Operation: 8+21=29, Resulting Numbers: [29]
29,24 unequal: No Solution
Exploring Operation: 8*21=168, Resulting Numbers: [168]
168,24 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,24 unequal: No Solution
Moving to Node #0,3,1
Current State: 24:[30, 1], Operations: ['27-18=9', '9-8=1']
Exploring Operation: 30+1=31, Resulting Numbers: [31]
31,24 unequal: No Solution
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,24 unequal: No Solution
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Moving to Node #0,3,0
Current State: 24:[30, 17], Operations: ['27-18=9', '8+9=17']
Exploring Operation: 30*17=510, Resulting Numbers: [510]
510,24 unequal: No Solution
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,24 unequal: No Solution
Exploring Operation: 30+17=47, Resulting Numbers: [47]
47,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 24:[27, 30, 26], Operations: ['8+18=26']
Exploring Operation: 30-26=4, Resulting Numbers: [27, 4]
Generated Node #0,2,0: 24:[27, 4] Operation: 30-26=4
Exploring Operation: 27+30=57, Resulting Numbers: [26, 57]
Generated Node #0,2,1: 24:[26, 57] Operation: 27+30=57
Exploring Operation: 27-26=1, Resulting Numbers: [30, 1]
Generated Node #0,2,2: 24:[30, 1] Operation: 27-26=1
Exploring Operation: 30-27=3, Resulting Numbers: [26, 3]
Generated Node #0,2,3: 24:[26, 3] Operation: 30-27=3
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 24:[26, 3], Operations: ['8+18=26', '30-27=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,24 unequal: No Solution
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,24 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,24 unequal: No Solution
No 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: 24:[27, 4], Operations: ['8+18=26', '30-26=4']
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,24 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,24 unequal: No Solution
Exploring Operation: 27*4=108, Resulting Numbers: [108]
108,24 unequal: No Solution
No 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: 24:[30, 1], Operations: ['8+18=26', '27-26=1']
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,24 unequal: No Solution
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 30+1=31, Resulting Numbers: [31]
31,24 unequal: No Solution
No 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: 24:[26, 57], Operations: ['8+18=26', '27+30=57']
Exploring Operation: 26*57=1482, Resulting Numbers: [1482]
1482,24 unequal: No Solution
Exploring Operation: 26+57=83, Resulting Numbers: [83]
83,24 unequal: No Solution
Exploring Operation: 57-26=31, Resulting Numbers: [31]
31,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
89,
4,
93,
55
] | 38 | [
"89+93=182",
"4*55=220",
"220-182=38"
] | Current State: 38:[89, 4, 93, 55], Operations: []
Exploring Operation: 89+93=182, Resulting Numbers: [4, 55, 182]
Generated Node #2: [4, 55, 182] from Operation: 89+93=182
Current State: 38:[4, 55, 182], Operations: ['89+93=182']
Exploring Operation: 4*55=220, Resulting Numbers: [182, 220]
Generated Node #3: [182, 220] from Operation: 4*55=220
Current State: 38:[182, 220], Operations: ['89+93=182', '4*55=220']
Exploring Operation: 220-182=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[89, 4, 93, 55], Operations: []
Exploring Operation: 93-55=38, Resulting Numbers: [89, 4, 38]
Generated Node #0,0: 38:[89, 4, 38] Operation: 93-55=38
Exploring Operation: 93-89=4, Resulting Numbers: [4, 55, 4]
Generated Node #0,1: 38:[4, 55, 4] Operation: 93-89=4
Moving to Node #0,1
Current State: 38:[4, 55, 4], Operations: ['93-89=4']
Exploring Operation: 55-4=51, Resulting Numbers: [4, 51]
Generated Node #0,1,0: 38:[4, 51] Operation: 55-4=51
Exploring Operation: 55-4=51, Resulting Numbers: [4, 51]
Generated Node #0,1,1: 38:[4, 51] Operation: 55-4=51
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 38:[4, 51], Operations: ['93-89=4', '55-4=51']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,38 unequal: No Solution
Exploring Operation: 4+51=55, Resulting Numbers: [55]
55,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 38:[4, 51], Operations: ['93-89=4', '55-4=51']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,38 unequal: No Solution
Exploring Operation: 4+51=55, Resulting Numbers: [55]
55,38 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: 38:[89, 4, 38], Operations: ['93-55=38']
Exploring Operation: 89-4=85, Resulting Numbers: [38, 85]
Generated Node #0,0,0: 38:[38, 85] Operation: 89-4=85
Exploring Operation: 89-38=51, Resulting Numbers: [4, 51]
Generated Node #0,0,1: 38:[4, 51] Operation: 89-38=51
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 38:[4, 51], Operations: ['93-55=38', '89-38=51']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,38 unequal: No Solution
Exploring Operation: 4+51=55, Resulting Numbers: [55]
55,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[38, 85], Operations: ['93-55=38', '89-4=85']
Exploring Operation: 85-38=47, Resulting Numbers: [47]
47,38 unequal: No Solution
Exploring Operation: 38+85=123, Resulting Numbers: [123]
123,38 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 |
[
27,
85,
84,
73
] | 20 | [
"85-73=12",
"84/12=7",
"27-7=20"
] | Current State: 20:[27, 85, 84, 73], Operations: []
Exploring Operation: 85-73=12, Resulting Numbers: [27, 84, 12]
Generated Node #2: [27, 84, 12] from Operation: 85-73=12
Current State: 20:[27, 84, 12], Operations: ['85-73=12']
Exploring Operation: 84/12=7, Resulting Numbers: [27, 7]
Generated Node #3: [27, 7] from Operation: 84/12=7
Current State: 20:[27, 7], Operations: ['85-73=12', '84/12=7']
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[27, 85, 84, 73], Operations: []
Exploring Operation: 85-84=1, Resulting Numbers: [27, 73, 1]
Generated Node #0,0: 20:[27, 73, 1] Operation: 85-84=1
Exploring Operation: 85-73=12, Resulting Numbers: [27, 84, 12]
Generated Node #0,1: 20:[27, 84, 12] Operation: 85-73=12
Moving to Node #0,0
Current State: 20:[27, 73, 1], Operations: ['85-84=1']
Exploring Operation: 27-1=26, Resulting Numbers: [73, 26]
Generated Node #0,0,0: 20:[73, 26] Operation: 27-1=26
Exploring Operation: 73-27=46, Resulting Numbers: [1, 46]
Generated Node #0,0,1: 20:[1, 46] Operation: 73-27=46
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 20:[1, 46], Operations: ['85-84=1', '73-27=46']
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,20 unequal: No Solution
Exploring Operation: 1*46=46, Resulting Numbers: [46]
46,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 20:[73, 26], Operations: ['85-84=1', '27-1=26']
Exploring Operation: 73-26=47, Resulting Numbers: [47]
47,20 unequal: No Solution
Exploring Operation: 73+26=99, Resulting Numbers: [99]
99,20 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: 20:[27, 84, 12], Operations: ['85-73=12']
Exploring Operation: 84/12=7, Resulting Numbers: [27, 7]
Generated Node #0,1,0: 20:[27, 7] Operation: 84/12=7
Exploring Operation: 84-27=57, Resulting Numbers: [12, 57]
Generated Node #0,1,1: 20:[12, 57] Operation: 84-27=57
Moving to Node #0,1,0
Current State: 20:[27, 7], Operations: ['85-73=12', '84/12=7']
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[27, 85, 84, 73], Operations: []
Exploring Operation: 85-73=12, Resulting Numbers: [27, 84, 12]
Generated Node #0,1: 20:[27, 84, 12] Operation: 85-73=12
Moving to Node #0,1
Current State: 20:[27, 84, 12], Operations: ['85-73=12']
Exploring Operation: 84/12=7, Resulting Numbers: [27, 7]
Generated Node #0,1,0: 20:[27, 7] Operation: 84/12=7
Moving to Node #0,1,0
Current State: 20:[27, 7], Operations: ['85-73=12', '84/12=7']
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
77,
27,
83,
90
] | 42 | [
"83-77=6",
"90/6=15",
"27+15=42"
] | Current State: 42:[77, 27, 83, 90], Operations: []
Exploring Operation: 83-77=6, Resulting Numbers: [27, 90, 6]
Generated Node #2: [27, 90, 6] from Operation: 83-77=6
Current State: 42:[27, 90, 6], Operations: ['83-77=6']
Exploring Operation: 90/6=15, Resulting Numbers: [27, 15]
Generated Node #3: [27, 15] from Operation: 90/6=15
Current State: 42:[27, 15], Operations: ['83-77=6', '90/6=15']
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[77, 27, 83, 90], Operations: []
Exploring Operation: 83-77=6, Resulting Numbers: [27, 90, 6]
Generated Node #0,0: 42:[27, 90, 6] Operation: 83-77=6
Exploring Operation: 90-83=7, Resulting Numbers: [77, 27, 7]
Generated Node #0,1: 42:[77, 27, 7] Operation: 90-83=7
Exploring Operation: 90-77=13, Resulting Numbers: [27, 83, 13]
Generated Node #0,2: 42:[27, 83, 13] Operation: 90-77=13
Moving to Node #0,1
Current State: 42:[77, 27, 7], Operations: ['90-83=7']
Exploring Operation: 77-27=50, Resulting Numbers: [7, 50]
Generated Node #0,1,0: 42:[7, 50] Operation: 77-27=50
Exploring Operation: 77-7=70, Resulting Numbers: [27, 70]
Generated Node #0,1,1: 42:[27, 70] Operation: 77-7=70
Exploring Operation: 77/7=11, Resulting Numbers: [27, 11]
Generated Node #0,1,2: 42:[27, 11] Operation: 77/7=11
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 42:[7, 50], Operations: ['90-83=7', '77-27=50']
Exploring Operation: 7+50=57, Resulting Numbers: [57]
57,42 unequal: No Solution
Exploring Operation: 7*50=350, Resulting Numbers: [350]
350,42 unequal: No Solution
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 42:[27, 11], Operations: ['90-83=7', '77/7=11']
Exploring Operation: 27+11=38, Resulting Numbers: [38]
38,42 unequal: No Solution
Exploring Operation: 27*11=297, Resulting Numbers: [297]
297,42 unequal: No Solution
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 42:[27, 70], Operations: ['90-83=7', '77-7=70']
Exploring Operation: 27+70=97, Resulting Numbers: [97]
97,42 unequal: No Solution
Exploring Operation: 27*70=1890, Resulting Numbers: [1890]
1890,42 unequal: No Solution
Exploring Operation: 70-27=43, Resulting Numbers: [43]
43,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 42:[27, 83, 13], Operations: ['90-77=13']
Exploring Operation: 83-27=56, Resulting Numbers: [13, 56]
Generated Node #0,2,0: 42:[13, 56] Operation: 83-27=56
Exploring Operation: 83-13=70, Resulting Numbers: [27, 70]
Generated Node #0,2,1: 42:[27, 70] Operation: 83-13=70
Exploring Operation: 27-13=14, Resulting Numbers: [83, 14]
Generated Node #0,2,2: 42:[83, 14] Operation: 27-13=14
Moving to Node #0,0
Current State: 42:[27, 90, 6], Operations: ['83-77=6']
Exploring Operation: 27-6=21, Resulting Numbers: [90, 21]
Generated Node #0,0,0: 42:[90, 21] Operation: 27-6=21
Exploring Operation: 90/6=15, Resulting Numbers: [27, 15]
Generated Node #0,0,1: 42:[27, 15] Operation: 90/6=15
Exploring Operation: 90-27=63, Resulting Numbers: [6, 63]
Generated Node #0,0,2: 42:[6, 63] Operation: 90-27=63
Moving to Node #0,0,1
Current State: 42:[27, 15], Operations: ['83-77=6', '90/6=15']
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[77, 27, 83, 90], Operations: []
Exploring Operation: 83-77=6, Resulting Numbers: [27, 90, 6]
Generated Node #0,0: 42:[27, 90, 6] Operation: 83-77=6
Moving to Node #0,0
Current State: 42:[27, 90, 6], Operations: ['83-77=6']
Exploring Operation: 90/6=15, Resulting Numbers: [27, 15]
Generated Node #0,0,1: 42:[27, 15] Operation: 90/6=15
Moving to Node #0,0,1
Current State: 42:[27, 15], Operations: ['83-77=6', '90/6=15']
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 0.977431 | hs_3 | mult_heuristic |
[
3,
8,
69,
16
] | 29 | [
"3*8=24",
"69-16=53",
"53-24=29"
] | Current State: 29:[3, 8, 69, 16], Operations: []
Exploring Operation: 3*8=24, Resulting Numbers: [69, 16, 24]
Generated Node #2: [69, 16, 24] from Operation: 3*8=24
Current State: 29:[69, 16, 24], Operations: ['3*8=24']
Exploring Operation: 69-16=53, Resulting Numbers: [24, 53]
Generated Node #3: [24, 53] from Operation: 69-16=53
Current State: 29:[24, 53], Operations: ['3*8=24', '69-16=53']
Exploring Operation: 53-24=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[3, 8, 69, 16], Operations: []
Exploring Operation: 69-3=66, Resulting Numbers: [8, 16, 66]
Generated Node #0,0: 29:[8, 16, 66] Operation: 69-3=66
Exploring Operation: 69/3=23, Resulting Numbers: [8, 16, 23]
Generated Node #0,1: 29:[8, 16, 23] Operation: 69/3=23
Exploring Operation: 3+16=19, Resulting Numbers: [8, 69, 19]
Generated Node #0,2: 29:[8, 69, 19] Operation: 3+16=19
Exploring Operation: 3*8=24, Resulting Numbers: [69, 16, 24]
Generated Node #0,3: 29:[69, 16, 24] Operation: 3*8=24
Exploring Operation: 3+8=11, Resulting Numbers: [69, 16, 11]
Generated Node #0,4: 29:[69, 16, 11] Operation: 3+8=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[8, 16, 23], Operations: ['69/3=23']
Exploring Operation: 16-8=8, Resulting Numbers: [23, 8]
Generated Node #0,1,0: 29:[23, 8] Operation: 16-8=8
Exploring Operation: 16+23=39, Resulting Numbers: [8, 39]
Generated Node #0,1,1: 29:[8, 39] Operation: 16+23=39
Exploring Operation: 8+23=31, Resulting Numbers: [16, 31]
Generated Node #0,1,2: 29:[16, 31] Operation: 8+23=31
Exploring Operation: 23-8=15, Resulting Numbers: [16, 15]
Generated Node #0,1,3: 29:[16, 15] Operation: 23-8=15
Exploring Operation: 8+16=24, Resulting Numbers: [23, 24]
Generated Node #0,1,4: 29:[23, 24] Operation: 8+16=24
Moving to Node #0,1,4
Current State: 29:[23, 24], Operations: ['69/3=23', '8+16=24']
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,29 unequal: No Solution
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,29 unequal: No Solution
Moving to Node #0,1,2
Current State: 29:[16, 31], Operations: ['69/3=23', '8+23=31']
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,29 unequal: No Solution
Exploring Operation: 16+31=47, Resulting Numbers: [47]
47,29 unequal: No Solution
Exploring Operation: 16*31=496, Resulting Numbers: [496]
496,29 unequal: No Solution
Moving to Node #0,1,0
Current State: 29:[23, 8], Operations: ['69/3=23', '16-8=8']
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,29 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,29 unequal: No Solution
Exploring Operation: 23*8=184, Resulting Numbers: [184]
184,29 unequal: No Solution
Moving to Node #0,1,3
Current State: 29:[16, 15], Operations: ['69/3=23', '23-8=15']
Exploring Operation: 16+15=31, Resulting Numbers: [31]
31,29 unequal: No Solution
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,29 unequal: No Solution
Exploring Operation: 16*15=240, Resulting Numbers: [240]
240,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[8, 39], Operations: ['69/3=23', '16+23=39']
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,29 unequal: No Solution
Exploring Operation: 8*39=312, Resulting Numbers: [312]
312,29 unequal: No Solution
Exploring Operation: 8+39=47, Resulting Numbers: [47]
47,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 29:[69, 16, 24], Operations: ['3*8=24']
Exploring Operation: 69+16=85, Resulting Numbers: [24, 85]
Generated Node #0,3,0: 29:[24, 85] Operation: 69+16=85
Exploring Operation: 16+24=40, Resulting Numbers: [69, 40]
Generated Node #0,3,1: 29:[69, 40] Operation: 16+24=40
Exploring Operation: 69-16=53, Resulting Numbers: [24, 53]
Generated Node #0,3,2: 29:[24, 53] Operation: 69-16=53
Exploring Operation: 69-24=45, Resulting Numbers: [16, 45]
Generated Node #0,3,3: 29:[16, 45] Operation: 69-24=45
Exploring Operation: 24-16=8, Resulting Numbers: [69, 8]
Generated Node #0,3,4: 29:[69, 8] Operation: 24-16=8
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 29:[24, 53], Operations: ['3*8=24', '69-16=53']
Exploring Operation: 53-24=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[3, 8, 69, 16], Operations: []
Exploring Operation: 3*8=24, Resulting Numbers: [69, 16, 24]
Generated Node #0,3: 29:[69, 16, 24] Operation: 3*8=24
Moving to Node #0,3
Current State: 29:[69, 16, 24], Operations: ['3*8=24']
Exploring Operation: 69-16=53, Resulting Numbers: [24, 53]
Generated Node #0,3,2: 29:[24, 53] Operation: 69-16=53
Moving to Node #0,3,2
Current State: 29:[24, 53], Operations: ['3*8=24', '69-16=53']
Exploring Operation: 53-24=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 | hs_5 | sum_heuristic |
[
46,
34,
32,
16
] | 32 | [
"46+34=80",
"32+16=48",
"80-48=32"
] | Current State: 32:[46, 34, 32, 16], Operations: []
Exploring Operation: 46+34=80, Resulting Numbers: [32, 16, 80]
Generated Node #2: [32, 16, 80] from Operation: 46+34=80
Current State: 32:[32, 16, 80], Operations: ['46+34=80']
Exploring Operation: 32+16=48, Resulting Numbers: [80, 48]
Generated Node #3: [80, 48] from Operation: 32+16=48
Current State: 32:[80, 48], Operations: ['46+34=80', '32+16=48']
Exploring Operation: 80-48=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[46, 34, 32, 16], Operations: []
Exploring Operation: 46-34=12, Resulting Numbers: [32, 16, 12]
Generated Node #0,0: 32:[32, 16, 12] Operation: 46-34=12
Exploring Operation: 46-32=14, Resulting Numbers: [34, 16, 14]
Generated Node #0,1: 32:[34, 16, 14] Operation: 46-32=14
Exploring Operation: 46-16=30, Resulting Numbers: [34, 32, 30]
Generated Node #0,2: 32:[34, 32, 30] Operation: 46-16=30
Moving to Node #0,0
Current State: 32:[32, 16, 12], Operations: ['46-34=12']
Exploring Operation: 32-16=16, Resulting Numbers: [12, 16]
Generated Node #0,0,0: 32:[12, 16] Operation: 32-16=16
Exploring Operation: 16-12=4, Resulting Numbers: [32, 4]
Generated Node #0,0,1: 32:[32, 4] Operation: 16-12=4
Exploring Operation: 32/16=2, Resulting Numbers: [12, 2]
Generated Node #0,0,2: 32:[12, 2] Operation: 32/16=2
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 32:[32, 4], Operations: ['46-34=12', '16-12=4']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,32 unequal: No Solution
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 32:[12, 16], Operations: ['46-34=12', '32-16=16']
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,32 unequal: No Solution
Exploring Operation: 12*16=192, Resulting Numbers: [192]
192,32 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 32:[12, 2], Operations: ['46-34=12', '32/16=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,32 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,32 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,32 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: 32:[34, 16, 14], Operations: ['46-32=14']
Exploring Operation: 16-14=2, Resulting Numbers: [34, 2]
Generated Node #0,1,0: 32:[34, 2] Operation: 16-14=2
Exploring Operation: 34-14=20, Resulting Numbers: [16, 20]
Generated Node #0,1,1: 32:[16, 20] Operation: 34-14=20
Exploring Operation: 34-16=18, Resulting Numbers: [14, 18]
Generated Node #0,1,2: 32:[14, 18] Operation: 34-16=18
Moving to Node #0,2
Current State: 32:[34, 32, 30], Operations: ['46-16=30']
Exploring Operation: 32-30=2, Resulting Numbers: [34, 2]
Generated Node #0,2,0: 32:[34, 2] Operation: 32-30=2
Exploring Operation: 34-32=2, Resulting Numbers: [30, 2]
Generated Node #0,2,1: 32:[30, 2] Operation: 34-32=2
Exploring Operation: 34-30=4, Resulting Numbers: [32, 4]
Generated Node #0,2,2: 32:[32, 4] Operation: 34-30=4
Moving to Node #0,2,2
Current State: 32:[32, 4], Operations: ['46-16=30', '34-30=4']
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,32 unequal: No Solution
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,32 unequal: No Solution
Moving to Node #0,2,1
Current State: 32:[30, 2], Operations: ['46-16=30', '34-32=2']
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[46, 34, 32, 16], Operations: []
Exploring Operation: 46-16=30, Resulting Numbers: [34, 32, 30]
Generated Node #0,2: 32:[34, 32, 30] Operation: 46-16=30
Moving to Node #0,2
Current State: 32:[34, 32, 30], Operations: ['46-16=30']
Exploring Operation: 34-32=2, Resulting Numbers: [30, 2]
Generated Node #0,2,1: 32:[30, 2] Operation: 34-32=2
Moving to Node #0,2,1
Current State: 32:[30, 2], Operations: ['46-16=30', '34-32=2']
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 0.974826 | hs_3 | sum_heuristic |
[
89,
90,
81,
83
] | 66 | [
"89-83=6",
"90/6=15",
"81-15=66"
] | Current State: 66:[89, 90, 81, 83], Operations: []
Exploring Operation: 89-83=6, Resulting Numbers: [90, 81, 6]
Generated Node #2: [90, 81, 6] from Operation: 89-83=6
Current State: 66:[90, 81, 6], Operations: ['89-83=6']
Exploring Operation: 90/6=15, Resulting Numbers: [81, 15]
Generated Node #3: [81, 15] from Operation: 90/6=15
Current State: 66:[81, 15], Operations: ['89-83=6', '90/6=15']
Exploring Operation: 81-15=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[89, 90, 81, 83], Operations: []
Exploring Operation: 90-83=7, Resulting Numbers: [89, 81, 7]
Generated Node #0,0: 66:[89, 81, 7] Operation: 90-83=7
Exploring Operation: 90-81=9, Resulting Numbers: [89, 83, 9]
Generated Node #0,1: 66:[89, 83, 9] Operation: 90-81=9
Exploring Operation: 89-83=6, Resulting Numbers: [90, 81, 6]
Generated Node #0,2: 66:[90, 81, 6] Operation: 89-83=6
Exploring Operation: 90-89=1, Resulting Numbers: [81, 83, 1]
Generated Node #0,3: 66:[81, 83, 1] Operation: 90-89=1
Moving to Node #0,3
Current State: 66:[81, 83, 1], Operations: ['90-89=1']
Exploring Operation: 81*1=81, Resulting Numbers: [83, 81]
Generated Node #0,3,0: 66:[83, 81] Operation: 81*1=81
Exploring Operation: 83-81=2, Resulting Numbers: [1, 2]
Generated Node #0,3,1: 66:[1, 2] Operation: 83-81=2
Exploring Operation: 81-1=80, Resulting Numbers: [83, 80]
Generated Node #0,3,2: 66:[83, 80] Operation: 81-1=80
Exploring Operation: 83-1=82, Resulting Numbers: [81, 82]
Generated Node #0,3,3: 66:[81, 82] Operation: 83-1=82
Moving to Node #0,2
Current State: 66:[90, 81, 6], Operations: ['89-83=6']
Exploring Operation: 90/6=15, Resulting Numbers: [81, 15]
Generated Node #0,2,0: 66:[81, 15] Operation: 90/6=15
Exploring Operation: 81-6=75, Resulting Numbers: [90, 75]
Generated Node #0,2,1: 66:[90, 75] Operation: 81-6=75
Exploring Operation: 90-6=84, Resulting Numbers: [81, 84]
Generated Node #0,2,2: 66:[81, 84] Operation: 90-6=84
Exploring Operation: 90-81=9, Resulting Numbers: [6, 9]
Generated Node #0,2,3: 66:[6, 9] Operation: 90-81=9
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 66:[6, 9], Operations: ['89-83=6', '90-81=9']
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,66 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 66:[81, 15], Operations: ['89-83=6', '90/6=15']
Exploring Operation: 81-15=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[89, 90, 81, 83], Operations: []
Exploring Operation: 89-83=6, Resulting Numbers: [90, 81, 6]
Generated Node #0,2: 66:[90, 81, 6] Operation: 89-83=6
Moving to Node #0,2
Current State: 66:[90, 81, 6], Operations: ['89-83=6']
Exploring Operation: 90/6=15, Resulting Numbers: [81, 15]
Generated Node #0,2,0: 66:[81, 15] Operation: 90/6=15
Moving to Node #0,2,0
Current State: 66:[81, 15], Operations: ['89-83=6', '90/6=15']
Exploring Operation: 81-15=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | mult_heuristic |
[
64,
42,
5,
49
] | 14 | [
"64-49=15",
"42*5=210",
"210/15=14"
] | Current State: 14:[64, 42, 5, 49], Operations: []
Exploring Operation: 64-49=15, Resulting Numbers: [42, 5, 15]
Generated Node #2: [42, 5, 15] from Operation: 64-49=15
Current State: 14:[42, 5, 15], Operations: ['64-49=15']
Exploring Operation: 42*5=210, Resulting Numbers: [15, 210]
Generated Node #3: [15, 210] from Operation: 42*5=210
Current State: 14:[15, 210], Operations: ['64-49=15', '42*5=210']
Exploring Operation: 210/15=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[64, 42, 5, 49], Operations: []
Exploring Operation: 64-42=22, Resulting Numbers: [5, 49, 22]
Generated Node #0,0: 14:[5, 49, 22] Operation: 64-42=22
Exploring Operation: 64-49=15, Resulting Numbers: [42, 5, 15]
Generated Node #0,1: 14:[42, 5, 15] Operation: 64-49=15
Exploring Operation: 49-42=7, Resulting Numbers: [64, 5, 7]
Generated Node #0,2: 14:[64, 5, 7] Operation: 49-42=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[42, 5, 15], Operations: ['64-49=15']
Exploring Operation: 42-5=37, Resulting Numbers: [15, 37]
Generated Node #0,1,0: 14:[15, 37] Operation: 42-5=37
Exploring Operation: 15/5=3, Resulting Numbers: [42, 3]
Generated Node #0,1,1: 14:[42, 3] Operation: 15/5=3
Exploring Operation: 42-15=27, Resulting Numbers: [5, 27]
Generated Node #0,1,2: 14:[5, 27] Operation: 42-15=27
Moving to Node #0,1,2
Current State: 14:[5, 27], Operations: ['64-49=15', '42-15=27']
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,14 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,14 unequal: No Solution
Exploring Operation: 5*27=135, Resulting Numbers: [135]
135,14 unequal: No Solution
Moving to Node #0,1,0
Current State: 14:[15, 37], Operations: ['64-49=15', '42-5=37']
Exploring Operation: 15+37=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 15*37=555, Resulting Numbers: [555]
555,14 unequal: No Solution
Exploring Operation: 37-15=22, Resulting Numbers: [22]
22,14 unequal: No Solution
Moving to Node #0,1,1
Current State: 14:[42, 3], Operations: ['64-49=15', '15/5=3']
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,14 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[64, 42, 5, 49], Operations: []
Exploring Operation: 64-49=15, Resulting Numbers: [42, 5, 15]
Generated Node #0,1: 14:[42, 5, 15] Operation: 64-49=15
Moving to Node #0,1
Current State: 14:[42, 5, 15], Operations: ['64-49=15']
Exploring Operation: 15/5=3, Resulting Numbers: [42, 3]
Generated Node #0,1,1: 14:[42, 3] Operation: 15/5=3
Moving to Node #0,1,1
Current State: 14:[42, 3], Operations: ['64-49=15', '15/5=3']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | sum_heuristic |
[
61,
4,
24,
72
] | 49 | [
"24/4=6",
"72/6=12",
"61-12=49"
] | Current State: 49:[61, 4, 24, 72], Operations: []
Exploring Operation: 24/4=6, Resulting Numbers: [61, 72, 6]
Generated Node #2: [61, 72, 6] from Operation: 24/4=6
Current State: 49:[61, 72, 6], Operations: ['24/4=6']
Exploring Operation: 72/6=12, Resulting Numbers: [61, 12]
Generated Node #3: [61, 12] from Operation: 72/6=12
Current State: 49:[61, 12], Operations: ['24/4=6', '72/6=12']
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[61, 4, 24, 72], Operations: []
Exploring Operation: 72-24=48, Resulting Numbers: [61, 4, 48]
Generated Node #0,0: 49:[61, 4, 48] Operation: 72-24=48
Exploring Operation: 72/24=3, Resulting Numbers: [61, 4, 3]
Generated Node #0,1: 49:[61, 4, 3] Operation: 72/24=3
Exploring Operation: 72-61=11, Resulting Numbers: [4, 24, 11]
Generated Node #0,2: 49:[4, 24, 11] Operation: 72-61=11
Moving to Node #0,0
Current State: 49:[61, 4, 48], Operations: ['72-24=48']
Exploring Operation: 61-4=57, Resulting Numbers: [48, 57]
Generated Node #0,0,0: 49:[48, 57] Operation: 61-4=57
Exploring Operation: 4+48=52, Resulting Numbers: [61, 52]
Generated Node #0,0,1: 49:[61, 52] Operation: 4+48=52
Exploring Operation: 61-48=13, Resulting Numbers: [4, 13]
Generated Node #0,0,2: 49:[4, 13] Operation: 61-48=13
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 49:[48, 57], Operations: ['72-24=48', '61-4=57']
Exploring Operation: 48+57=105, Resulting Numbers: [105]
105,49 unequal: No Solution
Exploring Operation: 57-48=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 48*57=2736, Resulting Numbers: [2736]
2736,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 49:[4, 13], Operations: ['72-24=48', '61-48=13']
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 49:[61, 52], Operations: ['72-24=48', '4+48=52']
Exploring Operation: 61*52=3172, Resulting Numbers: [3172]
3172,49 unequal: No Solution
Exploring Operation: 61-52=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 61+52=113, Resulting Numbers: [113]
113,49 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: 49:[61, 4, 3], Operations: ['72/24=3']
Exploring Operation: 61-4=57, Resulting Numbers: [3, 57]
Generated Node #0,1,0: 49:[3, 57] Operation: 61-4=57
Exploring Operation: 61-3=58, Resulting Numbers: [4, 58]
Generated Node #0,1,1: 49:[4, 58] Operation: 61-3=58
Exploring Operation: 4+3=7, Resulting Numbers: [61, 7]
Generated Node #0,1,2: 49:[61, 7] Operation: 4+3=7
Moving to Node #0,2
Current State: 49:[4, 24, 11], Operations: ['72-61=11']
Exploring Operation: 24-11=13, Resulting Numbers: [4, 13]
Generated Node #0,2,0: 49:[4, 13] Operation: 24-11=13
Exploring Operation: 24-4=20, Resulting Numbers: [11, 20]
Generated Node #0,2,1: 49:[11, 20] Operation: 24-4=20
Exploring Operation: 24/4=6, Resulting Numbers: [11, 6]
Generated Node #0,2,2: 49:[11, 6] Operation: 24/4=6
Moving to Node #0,2,2
Current State: 49:[11, 6], Operations: ['72-61=11', '24/4=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,49 unequal: No Solution
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Moving to Node #0,2,0
Current State: 49:[4, 13], Operations: ['72-61=11', '24-11=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,49 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,49 unequal: No Solution
Moving to Node #0,1,2
Current State: 49:[61, 7], Operations: ['72/24=3', '4+3=7']
Exploring Operation: 61+7=68, Resulting Numbers: [68]
68,49 unequal: No Solution
Exploring Operation: 61*7=427, Resulting Numbers: [427]
427,49 unequal: No Solution
Exploring Operation: 61-7=54, Resulting Numbers: [54]
54,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[3, 57], Operations: ['72/24=3', '61-4=57']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,49 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,49 unequal: No Solution
Exploring Operation: 3+57=60, Resulting Numbers: [60]
60,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[4, 58], Operations: ['72/24=3', '61-3=58']
Exploring Operation: 4*58=232, Resulting Numbers: [232]
232,49 unequal: No Solution
Exploring Operation: 4+58=62, Resulting Numbers: [62]
62,49 unequal: No Solution
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,49 unequal: No Solution
Moving to Node #0,2,1
Current State: 49:[11, 20], Operations: ['72-61=11', '24-4=20']
Exploring Operation: 11*20=220, Resulting Numbers: [220]
220,49 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 11+20=31, Resulting Numbers: [31]
31,49 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
57,
3,
80,
22
] | 83 | [
"57/3=19",
"80+22=102",
"102-19=83"
] | Current State: 83:[57, 3, 80, 22], Operations: []
Exploring Operation: 57/3=19, Resulting Numbers: [80, 22, 19]
Generated Node #2: [80, 22, 19] from Operation: 57/3=19
Current State: 83:[80, 22, 19], Operations: ['57/3=19']
Exploring Operation: 80+22=102, Resulting Numbers: [19, 102]
Generated Node #3: [19, 102] from Operation: 80+22=102
Current State: 83:[19, 102], Operations: ['57/3=19', '80+22=102']
Exploring Operation: 102-19=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[57, 3, 80, 22], Operations: []
Exploring Operation: 3*22=66, Resulting Numbers: [57, 80, 66]
Generated Node #0,0: 83:[57, 80, 66] Operation: 3*22=66
Exploring Operation: 57+22=79, Resulting Numbers: [3, 80, 79]
Generated Node #0,1: 83:[3, 80, 79] Operation: 57+22=79
Exploring Operation: 57+3=60, Resulting Numbers: [80, 22, 60]
Generated Node #0,2: 83:[80, 22, 60] Operation: 57+3=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[57, 80, 66], Operations: ['3*22=66']
Exploring Operation: 80-57=23, Resulting Numbers: [66, 23]
Generated Node #0,0,0: 83:[66, 23] Operation: 80-57=23
Exploring Operation: 57+66=123, Resulting Numbers: [80, 123]
Generated Node #0,0,1: 83:[80, 123] Operation: 57+66=123
Exploring Operation: 57+80=137, Resulting Numbers: [66, 137]
Generated Node #0,0,2: 83:[66, 137] Operation: 57+80=137
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[80, 123], Operations: ['3*22=66', '57+66=123']
Exploring Operation: 123-80=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 80+123=203, Resulting Numbers: [203]
203,83 unequal: No Solution
Exploring Operation: 80*123=9840, Resulting Numbers: [9840]
9840,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 83:[66, 137], Operations: ['3*22=66', '57+80=137']
Exploring Operation: 137-66=71, Resulting Numbers: [71]
71,83 unequal: No Solution
Exploring Operation: 66*137=9042, Resulting Numbers: [9042]
9042,83 unequal: No Solution
Exploring Operation: 66+137=203, Resulting Numbers: [203]
203,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[66, 23], Operations: ['3*22=66', '80-57=23']
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,83 unequal: No Solution
Exploring Operation: 66+23=89, Resulting Numbers: [89]
89,83 unequal: No Solution
Exploring Operation: 66*23=1518, Resulting Numbers: [1518]
1518,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[3, 80, 79], Operations: ['57+22=79']
Exploring Operation: 3+80=83, Resulting Numbers: [79, 83]
Generated Node #0,1,0: 83:[79, 83] Operation: 3+80=83
Exploring Operation: 3+79=82, Resulting Numbers: [80, 82]
Generated Node #0,1,1: 83:[80, 82] Operation: 3+79=82
Exploring Operation: 80-3=77, Resulting Numbers: [79, 77]
Generated Node #0,1,2: 83:[79, 77] Operation: 80-3=77
Moving to Node #0,1,0
Current State: 83:[79, 83], Operations: ['57+22=79', '3+80=83']
Exploring Operation: 79*83=6557, Resulting Numbers: [6557]
6557,83 unequal: No Solution
Exploring Operation: 79+83=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 83-79=4, Resulting Numbers: [4]
4,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[80, 82], Operations: ['57+22=79', '3+79=82']
Exploring Operation: 80*82=6560, Resulting Numbers: [6560]
6560,83 unequal: No Solution
Exploring Operation: 80+82=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 82-80=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[79, 77], Operations: ['57+22=79', '80-3=77']
Exploring Operation: 79-77=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 79*77=6083, Resulting Numbers: [6083]
6083,83 unequal: No Solution
Exploring Operation: 79+77=156, Resulting Numbers: [156]
156,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[80, 22, 60], Operations: ['57+3=60']
Exploring Operation: 80-22=58, Resulting Numbers: [60, 58]
Generated Node #0,2,0: 83:[60, 58] Operation: 80-22=58
Exploring Operation: 80+22=102, Resulting Numbers: [60, 102]
Generated Node #0,2,1: 83:[60, 102] Operation: 80+22=102
Exploring Operation: 22+60=82, Resulting Numbers: [80, 82]
Generated Node #0,2,2: 83:[80, 82] Operation: 22+60=82
Moving to Node #0,2,2
Current State: 83:[80, 82], Operations: ['57+3=60', '22+60=82']
Exploring Operation: 82-80=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 80+82=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 80*82=6560, Resulting Numbers: [6560]
6560,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[60, 102], Operations: ['57+3=60', '80+22=102']
Exploring Operation: 60+102=162, Resulting Numbers: [162]
162,83 unequal: No Solution
Exploring Operation: 102-60=42, Resulting Numbers: [42]
42,83 unequal: No Solution
Exploring Operation: 60*102=6120, Resulting Numbers: [6120]
6120,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[60, 58], Operations: ['57+3=60', '80-22=58']
Exploring Operation: 60-58=2, Resulting Numbers: [2]
2,83 unequal: No Solution
Exploring Operation: 60*58=3480, Resulting Numbers: [3480]
3480,83 unequal: No Solution
Exploring Operation: 60+58=118, Resulting Numbers: [118]
118,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
3,
86,
61,
49
] | 95 | [
"86-3=83",
"61-49=12",
"83+12=95"
] | Current State: 95:[3, 86, 61, 49], Operations: []
Exploring Operation: 86-3=83, Resulting Numbers: [61, 49, 83]
Generated Node #2: [61, 49, 83] from Operation: 86-3=83
Current State: 95:[61, 49, 83], Operations: ['86-3=83']
Exploring Operation: 61-49=12, Resulting Numbers: [83, 12]
Generated Node #3: [83, 12] from Operation: 61-49=12
Current State: 95:[83, 12], Operations: ['86-3=83', '61-49=12']
Exploring Operation: 83+12=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[3, 86, 61, 49], Operations: []
Exploring Operation: 61+49=110, Resulting Numbers: [3, 86, 110]
Generated Node #0,0: 95:[3, 86, 110] Operation: 61+49=110
Exploring Operation: 61-49=12, Resulting Numbers: [3, 86, 12]
Generated Node #0,1: 95:[3, 86, 12] Operation: 61-49=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[3, 86, 12], Operations: ['61-49=12']
Exploring Operation: 12/3=4, Resulting Numbers: [86, 4]
Generated Node #0,1,0: 95:[86, 4] Operation: 12/3=4
Exploring Operation: 86+12=98, Resulting Numbers: [3, 98]
Generated Node #0,1,1: 95:[3, 98] Operation: 86+12=98
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 95:[3, 98], Operations: ['61-49=12', '86+12=98']
Exploring Operation: 3+98=101, Resulting Numbers: [101]
101,95 unequal: No Solution
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[3, 86, 61, 49], Operations: []
Exploring Operation: 61-49=12, Resulting Numbers: [3, 86, 12]
Generated Node #0,1: 95:[3, 86, 12] Operation: 61-49=12
Moving to Node #0,1
Current State: 95:[3, 86, 12], Operations: ['61-49=12']
Exploring Operation: 86+12=98, Resulting Numbers: [3, 98]
Generated Node #0,1,1: 95:[3, 98] Operation: 86+12=98
Moving to Node #0,1,1
Current State: 95:[3, 98], Operations: ['61-49=12', '86+12=98']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
26,
75,
37,
25
] | 33 | [
"37-26=11",
"75/25=3",
"11*3=33"
] | Current State: 33:[26, 75, 37, 25], Operations: []
Exploring Operation: 37-26=11, Resulting Numbers: [75, 25, 11]
Generated Node #2: [75, 25, 11] from Operation: 37-26=11
Current State: 33:[75, 25, 11], Operations: ['37-26=11']
Exploring Operation: 75/25=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 75/25=3
Current State: 33:[11, 3], Operations: ['37-26=11', '75/25=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[26, 75, 37, 25], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [26, 37, 3]
Generated Node #0,0: 33:[26, 37, 3] Operation: 75/25=3
Exploring Operation: 75-37=38, Resulting Numbers: [26, 25, 38]
Generated Node #0,1: 33:[26, 25, 38] Operation: 75-37=38
Exploring Operation: 75-26=49, Resulting Numbers: [37, 25, 49]
Generated Node #0,2: 33:[37, 25, 49] Operation: 75-26=49
Moving to Node #0,0
Current State: 33:[26, 37, 3], Operations: ['75/25=3']
Exploring Operation: 37-26=11, Resulting Numbers: [3, 11]
Generated Node #0,0,0: 33:[3, 11] Operation: 37-26=11
Exploring Operation: 37-3=34, Resulting Numbers: [26, 34]
Generated Node #0,0,1: 33:[26, 34] Operation: 37-3=34
Exploring Operation: 26+3=29, Resulting Numbers: [37, 29]
Generated Node #0,0,2: 33:[37, 29] Operation: 26+3=29
Moving to Node #0,1
Current State: 33:[26, 25, 38], Operations: ['75-37=38']
Exploring Operation: 38-26=12, Resulting Numbers: [25, 12]
Generated Node #0,1,0: 33:[25, 12] Operation: 38-26=12
Exploring Operation: 38-25=13, Resulting Numbers: [26, 13]
Generated Node #0,1,1: 33:[26, 13] Operation: 38-25=13
Exploring Operation: 26-25=1, Resulting Numbers: [38, 1]
Generated Node #0,1,2: 33:[38, 1] Operation: 26-25=1
Moving to Node #0,2
Current State: 33:[37, 25, 49], Operations: ['75-26=49']
Exploring Operation: 49-25=24, Resulting Numbers: [37, 24]
Generated Node #0,2,0: 33:[37, 24] Operation: 49-25=24
Exploring Operation: 49-37=12, Resulting Numbers: [25, 12]
Generated Node #0,2,1: 33:[25, 12] Operation: 49-37=12
Exploring Operation: 37-25=12, Resulting Numbers: [49, 12]
Generated Node #0,2,2: 33:[49, 12] Operation: 37-25=12
Moving to Node #0,0,0
Current State: 33:[3, 11], Operations: ['75/25=3', '37-26=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[26, 75, 37, 25], Operations: []
Exploring Operation: 75/25=3, Resulting Numbers: [26, 37, 3]
Generated Node #0,0: 33:[26, 37, 3] Operation: 75/25=3
Moving to Node #0,0
Current State: 33:[26, 37, 3], Operations: ['75/25=3']
Exploring Operation: 37-26=11, Resulting Numbers: [3, 11]
Generated Node #0,0,0: 33:[3, 11] Operation: 37-26=11
Moving to Node #0,0,0
Current State: 33:[3, 11], Operations: ['75/25=3', '37-26=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 0.985243 | hs_3 | sum_heuristic |
[
3,
8,
41,
82
] | 15 | [
"41-3=38",
"82+38=120",
"120/8=15"
] | Current State: 15:[3, 8, 41, 82], Operations: []
Exploring Operation: 41-3=38, Resulting Numbers: [8, 82, 38]
Generated Node #2: [8, 82, 38] from Operation: 41-3=38
Current State: 15:[8, 82, 38], Operations: ['41-3=38']
Exploring Operation: 82+38=120, Resulting Numbers: [8, 120]
Generated Node #3: [8, 120] from Operation: 82+38=120
Current State: 15:[8, 120], Operations: ['41-3=38', '82+38=120']
Exploring Operation: 120/8=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[3, 8, 41, 82], Operations: []
Exploring Operation: 82-41=41, Resulting Numbers: [3, 8, 41]
Generated Node #0,0: 15:[3, 8, 41] Operation: 82-41=41
Exploring Operation: 82/41=2, Resulting Numbers: [3, 8, 2]
Generated Node #0,1: 15:[3, 8, 2] Operation: 82/41=2
Exploring Operation: 41-8=33, Resulting Numbers: [3, 82, 33]
Generated Node #0,2: 15:[3, 82, 33] Operation: 41-8=33
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[3, 8, 2], Operations: ['82/41=2']
Exploring Operation: 8-2=6, Resulting Numbers: [3, 6]
Generated Node #0,1,0: 15:[3, 6] Operation: 8-2=6
Exploring Operation: 8*2=16, Resulting Numbers: [3, 16]
Generated Node #0,1,1: 15:[3, 16] Operation: 8*2=16
Exploring Operation: 8-3=5, Resulting Numbers: [2, 5]
Generated Node #0,1,2: 15:[2, 5] Operation: 8-3=5
Moving to Node #0,1,0
Current State: 15:[3, 6], Operations: ['82/41=2', '8-2=6']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[3, 16], Operations: ['82/41=2', '8*2=16']
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[2, 5], Operations: ['82/41=2', '8-3=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,15 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[3, 8, 41], Operations: ['82-41=41']
Exploring Operation: 8-3=5, Resulting Numbers: [41, 5]
Generated Node #0,0,0: 15:[41, 5] Operation: 8-3=5
Exploring Operation: 41-8=33, Resulting Numbers: [3, 33]
Generated Node #0,0,1: 15:[3, 33] Operation: 41-8=33
Exploring Operation: 41-3=38, Resulting Numbers: [8, 38]
Generated Node #0,0,2: 15:[8, 38] Operation: 41-3=38
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 15:[3, 33], Operations: ['82-41=41', '41-8=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,15 unequal: No Solution
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[41, 5], Operations: ['82-41=41', '8-3=5']
Exploring Operation: 41-5=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 41*5=205, Resulting Numbers: [205]
205,15 unequal: No Solution
Exploring Operation: 41+5=46, Resulting Numbers: [46]
46,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 15:[8, 38], Operations: ['82-41=41', '41-3=38']
Exploring Operation: 8*38=304, Resulting Numbers: [304]
304,15 unequal: No Solution
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,15 unequal: No Solution
Exploring Operation: 8+38=46, Resulting Numbers: [46]
46,15 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: 15:[3, 82, 33], Operations: ['41-8=33']
Exploring Operation: 33/3=11, Resulting Numbers: [82, 11]
Generated Node #0,2,0: 15:[82, 11] Operation: 33/3=11
Exploring Operation: 82-33=49, Resulting Numbers: [3, 49]
Generated Node #0,2,1: 15:[3, 49] Operation: 82-33=49
Exploring Operation: 82-3=79, Resulting Numbers: [33, 79]
Generated Node #0,2,2: 15:[33, 79] Operation: 82-3=79
Moving to Node #0,2,1
Current State: 15:[3, 49], Operations: ['41-8=33', '82-33=49']
Exploring Operation: 3*49=147, Resulting Numbers: [147]
147,15 unequal: No Solution
Exploring Operation: 3+49=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[82, 11], Operations: ['41-8=33', '33/3=11']
Exploring Operation: 82-11=71, Resulting Numbers: [71]
71,15 unequal: No Solution
Exploring Operation: 82*11=902, Resulting Numbers: [902]
902,15 unequal: No Solution
Exploring Operation: 82+11=93, Resulting Numbers: [93]
93,15 unequal: No Solution
Moving to Node #0,2,2
Current State: 15:[33, 79], Operations: ['41-8=33', '82-3=79']
Exploring Operation: 33*79=2607, Resulting Numbers: [2607]
2607,15 unequal: No Solution
Exploring Operation: 79-33=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Exploring Operation: 33+79=112, Resulting Numbers: [112]
112,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
44,
32,
4,
59
] | 13 | [
"44+32=76",
"4+59=63",
"76-63=13"
] | Current State: 13:[44, 32, 4, 59], Operations: []
Exploring Operation: 44+32=76, Resulting Numbers: [4, 59, 76]
Generated Node #2: [4, 59, 76] from Operation: 44+32=76
Current State: 13:[4, 59, 76], Operations: ['44+32=76']
Exploring Operation: 4+59=63, Resulting Numbers: [76, 63]
Generated Node #3: [76, 63] from Operation: 4+59=63
Current State: 13:[76, 63], Operations: ['44+32=76', '4+59=63']
Exploring Operation: 76-63=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[44, 32, 4, 59], Operations: []
Exploring Operation: 59-44=15, Resulting Numbers: [32, 4, 15]
Generated Node #0,0: 13:[32, 4, 15] Operation: 59-44=15
Exploring Operation: 59-32=27, Resulting Numbers: [44, 4, 27]
Generated Node #0,1: 13:[44, 4, 27] Operation: 59-32=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[32, 4, 15], Operations: ['59-44=15']
Exploring Operation: 32/4=8, Resulting Numbers: [15, 8]
Generated Node #0,0,0: 13:[15, 8] Operation: 32/4=8
Exploring Operation: 32-15=17, Resulting Numbers: [4, 17]
Generated Node #0,0,1: 13:[4, 17] Operation: 32-15=17
Moving to Node #0,0,0
Current State: 13:[15, 8], Operations: ['59-44=15', '32/4=8']
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,13 unequal: No Solution
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,13 unequal: No Solution
Moving to Node #0,0,1
Current State: 13:[4, 17], Operations: ['59-44=15', '32-15=17']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[44, 32, 4, 59], Operations: []
Exploring Operation: 59-44=15, Resulting Numbers: [32, 4, 15]
Generated Node #0,0: 13:[32, 4, 15] Operation: 59-44=15
Moving to Node #0,0
Current State: 13:[32, 4, 15], Operations: ['59-44=15']
Exploring Operation: 32-15=17, Resulting Numbers: [4, 17]
Generated Node #0,0,1: 13:[4, 17] Operation: 32-15=17
Moving to Node #0,0,1
Current State: 13:[4, 17], Operations: ['59-44=15', '32-15=17']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
16,
37,
24,
42
] | 100 | [
"24*42=1008",
"1008/16=63",
"37+63=100"
] | Current State: 100:[16, 37, 24, 42], Operations: []
Exploring Operation: 24*42=1008, Resulting Numbers: [16, 37, 1008]
Generated Node #2: [16, 37, 1008] from Operation: 24*42=1008
Current State: 100:[16, 37, 1008], Operations: ['24*42=1008']
Exploring Operation: 1008/16=63, Resulting Numbers: [37, 63]
Generated Node #3: [37, 63] from Operation: 1008/16=63
Current State: 100:[37, 63], Operations: ['24*42=1008', '1008/16=63']
Exploring Operation: 37+63=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[16, 37, 24, 42], Operations: []
Exploring Operation: 16+37=53, Resulting Numbers: [24, 42, 53]
Generated Node #0,0: 100:[24, 42, 53] Operation: 16+37=53
Exploring Operation: 42-16=26, Resulting Numbers: [37, 24, 26]
Generated Node #0,1: 100:[37, 24, 26] Operation: 42-16=26
Exploring Operation: 37-16=21, Resulting Numbers: [24, 42, 21]
Generated Node #0,2: 100:[24, 42, 21] Operation: 37-16=21
Exploring Operation: 42-37=5, Resulting Numbers: [16, 24, 5]
Generated Node #0,3: 100:[16, 24, 5] Operation: 42-37=5
Start Sub Search at level 1: Moving to Node #0,3
Current State: 100:[16, 24, 5], Operations: ['42-37=5']
Exploring Operation: 16-5=11, Resulting Numbers: [24, 11]
Generated Node #0,3,0: 100:[24, 11] Operation: 16-5=11
Exploring Operation: 24-16=8, Resulting Numbers: [5, 8]
Generated Node #0,3,1: 100:[5, 8] Operation: 24-16=8
Exploring Operation: 24-5=19, Resulting Numbers: [16, 19]
Generated Node #0,3,2: 100:[16, 19] Operation: 24-5=19
Exploring Operation: 16+5=21, Resulting Numbers: [24, 21]
Generated Node #0,3,3: 100:[24, 21] Operation: 16+5=21
Moving to Node #0,3,0
Current State: 100:[24, 11], Operations: ['42-37=5', '16-5=11']
Exploring Operation: 24*11=264, Resulting Numbers: [264]
264,100 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 24+11=35, Resulting Numbers: [35]
35,100 unequal: No Solution
Moving to Node #0,3,3
Current State: 100:[24, 21], Operations: ['42-37=5', '16+5=21']
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,100 unequal: No Solution
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,100 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0,3,1
Current State: 100:[5, 8], Operations: ['42-37=5', '24-16=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,100 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0,3,2
Current State: 100:[16, 19], Operations: ['42-37=5', '24-5=19']
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,100 unequal: No Solution
Exploring Operation: 16*19=304, Resulting Numbers: [304]
304,100 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,100 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[24, 42, 21], Operations: ['37-16=21']
Exploring Operation: 42/21=2, Resulting Numbers: [24, 2]
Generated Node #0,2,0: 100:[24, 2] Operation: 42/21=2
Exploring Operation: 24-21=3, Resulting Numbers: [42, 3]
Generated Node #0,2,1: 100:[42, 3] Operation: 24-21=3
Exploring Operation: 42-24=18, Resulting Numbers: [21, 18]
Generated Node #0,2,2: 100:[21, 18] Operation: 42-24=18
Exploring Operation: 42-21=21, Resulting Numbers: [24, 21]
Generated Node #0,2,3: 100:[24, 21] Operation: 42-21=21
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 100:[24, 2], Operations: ['37-16=21', '42/21=2']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,100 unequal: No Solution
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,100 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,100 unequal: No Solution
No 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: 100:[24, 21], Operations: ['37-16=21', '42-21=21']
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,100 unequal: No Solution
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,100 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,100 unequal: No Solution
No 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: 100:[21, 18], Operations: ['37-16=21', '42-24=18']
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Exploring Operation: 21*18=378, Resulting Numbers: [378]
378,100 unequal: No Solution
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,100 unequal: No Solution
No 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: 100:[42, 3], Operations: ['37-16=21', '24-21=3']
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,100 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,100 unequal: No Solution
Exploring Operation: 42*3=126, Resulting Numbers: [126]
126,100 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,100 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: 100:[24, 42, 53], Operations: ['16+37=53']
Exploring Operation: 42+53=95, Resulting Numbers: [24, 95]
Generated Node #0,0,0: 100:[24, 95] Operation: 42+53=95
Exploring Operation: 53-24=29, Resulting Numbers: [42, 29]
Generated Node #0,0,1: 100:[42, 29] Operation: 53-24=29
Exploring Operation: 42-24=18, Resulting Numbers: [53, 18]
Generated Node #0,0,2: 100:[53, 18] Operation: 42-24=18
Exploring Operation: 53-42=11, Resulting Numbers: [24, 11]
Generated Node #0,0,3: 100:[24, 11] Operation: 53-42=11
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 100:[24, 11], Operations: ['16+37=53', '53-42=11']
Exploring Operation: 24*11=264, Resulting Numbers: [264]
264,100 unequal: No Solution
Exploring Operation: 24+11=35, Resulting Numbers: [35]
35,100 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,100 unequal: No Solution
No 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: 100:[53, 18], Operations: ['16+37=53', '42-24=18']
Exploring Operation: 53*18=954, Resulting Numbers: [954]
954,100 unequal: No Solution
Exploring Operation: 53+18=71, Resulting Numbers: [71]
71,100 unequal: No Solution
Exploring Operation: 53-18=35, Resulting Numbers: [35]
35,100 unequal: No Solution
No 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: 100:[24, 95], Operations: ['16+37=53', '42+53=95']
Exploring Operation: 24*95=2280, Resulting Numbers: [2280]
2280,100 unequal: No Solution
Exploring Operation: 24+95=119, Resulting Numbers: [119]
119,100 unequal: No Solution
Exploring Operation: 95-24=71, Resulting Numbers: [71]
71,100 unequal: No Solution
No 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: 100:[42, 29], Operations: ['16+37=53', '53-24=29']
Exploring Operation: 42*29=1218, Resulting Numbers: [1218]
1218,100 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,100 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: 100:[37, 24, 26], Operations: ['42-16=26']
Exploring Operation: 24+26=50, Resulting Numbers: [37, 50]
Generated Node #0,1,0: 100:[37, 50] Operation: 24+26=50
Exploring Operation: 37-26=11, Resulting Numbers: [24, 11]
Generated Node #0,1,1: 100:[24, 11] Operation: 37-26=11
Exploring Operation: 37-24=13, Resulting Numbers: [26, 13]
Generated Node #0,1,2: 100:[26, 13] Operation: 37-24=13
Exploring Operation: 37+24=61, Resulting Numbers: [26, 61]
Generated Node #0,1,3: 100:[26, 61] Operation: 37+24=61
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 100:[24, 11], Operations: ['42-16=26', '37-26=11']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 24+11=35, Resulting Numbers: [35]
35,100 unequal: No Solution
Exploring Operation: 24*11=264, Resulting Numbers: [264]
264,100 unequal: No Solution
No 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: 100:[26, 13], Operations: ['42-16=26', '37-24=13']
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 26+13=39, Resulting Numbers: [39]
39,100 unequal: No Solution
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 26*13=338, Resulting Numbers: [338]
338,100 unequal: No Solution
No 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: 100:[37, 50], Operations: ['42-16=26', '24+26=50']
Exploring Operation: 37+50=87, Resulting Numbers: [87]
87,100 unequal: No Solution
Exploring Operation: 50-37=13, Resulting Numbers: [13]
13,100 unequal: No Solution
Exploring Operation: 37*50=1850, Resulting Numbers: [1850]
1850,100 unequal: No Solution
No 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: 100:[26, 61], Operations: ['42-16=26', '37+24=61']
Exploring Operation: 26*61=1586, Resulting Numbers: [1586]
1586,100 unequal: No Solution
Exploring Operation: 61-26=35, Resulting Numbers: [35]
35,100 unequal: No Solution
Exploring Operation: 26+61=87, Resulting Numbers: [87]
87,100 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 |
[
51,
21,
67,
64
] | 24 | [
"51+21=72",
"67-64=3",
"72/3=24"
] | Current State: 24:[51, 21, 67, 64], Operations: []
Exploring Operation: 51+21=72, Resulting Numbers: [67, 64, 72]
Generated Node #2: [67, 64, 72] from Operation: 51+21=72
Current State: 24:[67, 64, 72], Operations: ['51+21=72']
Exploring Operation: 67-64=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 67-64=3
Current State: 24:[72, 3], Operations: ['51+21=72', '67-64=3']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[51, 21, 67, 64], Operations: []
Exploring Operation: 67-51=16, Resulting Numbers: [21, 64, 16]
Generated Node #0,0: 24:[21, 64, 16] Operation: 67-51=16
Exploring Operation: 67-64=3, Resulting Numbers: [51, 21, 3]
Generated Node #0,1: 24:[51, 21, 3] Operation: 67-64=3
Exploring Operation: 64-51=13, Resulting Numbers: [21, 67, 13]
Generated Node #0,2: 24:[21, 67, 13] Operation: 64-51=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[51, 21, 3], Operations: ['67-64=3']
Exploring Operation: 51-21=30, Resulting Numbers: [3, 30]
Generated Node #0,1,0: 24:[3, 30] Operation: 51-21=30
Exploring Operation: 51/3=17, Resulting Numbers: [21, 17]
Generated Node #0,1,1: 24:[21, 17] Operation: 51/3=17
Exploring Operation: 51-3=48, Resulting Numbers: [21, 48]
Generated Node #0,1,2: 24:[21, 48] Operation: 51-3=48
Moving to Node #0,1,0
Current State: 24:[3, 30], Operations: ['67-64=3', '51-21=30']
Exploring Operation: 3+30=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,24 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,24 unequal: No Solution
Moving to Node #0,1,1
Current State: 24:[21, 17], Operations: ['67-64=3', '51/3=17']
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,24 unequal: No Solution
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 21*17=357, Resulting Numbers: [357]
357,24 unequal: No Solution
Moving to Node #0,1,2
Current State: 24:[21, 48], Operations: ['67-64=3', '51-3=48']
Exploring Operation: 21*48=1008, Resulting Numbers: [1008]
1008,24 unequal: No Solution
Exploring Operation: 48-21=27, Resulting Numbers: [27]
27,24 unequal: No Solution
Exploring Operation: 21+48=69, Resulting Numbers: [69]
69,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[21, 64, 16], Operations: ['67-51=16']
Exploring Operation: 64-16=48, Resulting Numbers: [21, 48]
Generated Node #0,0,0: 24:[21, 48] Operation: 64-16=48
Exploring Operation: 64/16=4, Resulting Numbers: [21, 4]
Generated Node #0,0,1: 24:[21, 4] Operation: 64/16=4
Exploring Operation: 64-21=43, Resulting Numbers: [16, 43]
Generated Node #0,0,2: 24:[16, 43] Operation: 64-21=43
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 24:[21, 4], Operations: ['67-51=16', '64/16=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,24 unequal: No Solution
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,24 unequal: No Solution
Exploring Operation: 21+4=25, Resulting Numbers: [25]
25,24 unequal: No Solution
No 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: 24:[16, 43], Operations: ['67-51=16', '64-21=43']
Exploring Operation: 43-16=27, Resulting Numbers: [27]
27,24 unequal: No Solution
Exploring Operation: 16*43=688, Resulting Numbers: [688]
688,24 unequal: No Solution
Exploring Operation: 16+43=59, Resulting Numbers: [59]
59,24 unequal: No Solution
No 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: 24:[21, 48], Operations: ['67-51=16', '64-16=48']
Exploring Operation: 21*48=1008, Resulting Numbers: [1008]
1008,24 unequal: No Solution
Exploring Operation: 48-21=27, Resulting Numbers: [27]
27,24 unequal: No Solution
Exploring Operation: 21+48=69, Resulting Numbers: [69]
69,24 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: 24:[21, 67, 13], Operations: ['64-51=13']
Exploring Operation: 67-13=54, Resulting Numbers: [21, 54]
Generated Node #0,2,0: 24:[21, 54] Operation: 67-13=54
Exploring Operation: 67-21=46, Resulting Numbers: [13, 46]
Generated Node #0,2,1: 24:[13, 46] Operation: 67-21=46
Exploring Operation: 21-13=8, Resulting Numbers: [67, 8]
Generated Node #0,2,2: 24:[67, 8] Operation: 21-13=8
Moving to Node #0,2,1
Current State: 24:[13, 46], Operations: ['64-51=13', '67-21=46']
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 13+46=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Exploring Operation: 13*46=598, Resulting Numbers: [598]
598,24 unequal: No Solution
Moving to Node #0,2,0
Current State: 24:[21, 54], Operations: ['64-51=13', '67-13=54']
Exploring Operation: 54-21=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 21*54=1134, Resulting Numbers: [1134]
1134,24 unequal: No Solution
Exploring Operation: 21+54=75, Resulting Numbers: [75]
75,24 unequal: No Solution
Moving to Node #0,2,2
Current State: 24:[67, 8], Operations: ['64-51=13', '21-13=8']
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,24 unequal: No Solution
Exploring Operation: 67+8=75, Resulting Numbers: [75]
75,24 unequal: No Solution
Exploring Operation: 67*8=536, Resulting Numbers: [536]
536,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
34,
98,
1,
17
] | 81 | [
"98-34=64",
"1*17=17",
"64+17=81"
] | Current State: 81:[34, 98, 1, 17], Operations: []
Exploring Operation: 98-34=64, Resulting Numbers: [1, 17, 64]
Generated Node #2: [1, 17, 64] from Operation: 98-34=64
Current State: 81:[1, 17, 64], Operations: ['98-34=64']
Exploring Operation: 1*17=17, Resulting Numbers: [64, 17]
Generated Node #3: [64, 17] from Operation: 1*17=17
Current State: 81:[64, 17], Operations: ['98-34=64', '1*17=17']
Exploring Operation: 64+17=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[34, 98, 1, 17], Operations: []
Exploring Operation: 98-34=64, Resulting Numbers: [1, 17, 64]
Generated Node #0,0: 81:[1, 17, 64] Operation: 98-34=64
Exploring Operation: 34-17=17, Resulting Numbers: [98, 1, 17]
Generated Node #0,1: 81:[98, 1, 17] Operation: 34-17=17
Exploring Operation: 34/17=2, Resulting Numbers: [98, 1, 2]
Generated Node #0,2: 81:[98, 1, 2] Operation: 34/17=2
Exploring Operation: 98-17=81, Resulting Numbers: [34, 1, 81]
Generated Node #0,3: 81:[34, 1, 81] Operation: 98-17=81
Moving to Node #0,3
Current State: 81:[34, 1, 81], Operations: ['98-17=81']
Exploring Operation: 1*81=81, Resulting Numbers: [34, 81]
Generated Node #0,3,0: 81:[34, 81] Operation: 1*81=81
Exploring Operation: 34/1=34, Resulting Numbers: [81, 34]
Generated Node #0,3,1: 81:[81, 34] Operation: 34/1=34
Exploring Operation: 34-1=33, Resulting Numbers: [81, 33]
Generated Node #0,3,2: 81:[81, 33] Operation: 34-1=33
Exploring Operation: 34*1=34, Resulting Numbers: [81, 34]
Generated Node #0,3,3: 81:[81, 34] Operation: 34*1=34
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 81:[81, 33], Operations: ['98-17=81', '34-1=33']
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,81 unequal: No Solution
Exploring Operation: 81*33=2673, Resulting Numbers: [2673]
2673,81 unequal: No Solution
Exploring Operation: 81+33=114, Resulting Numbers: [114]
114,81 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 #0,3,0
Current State: 81:[34, 81], Operations: ['98-17=81', '1*81=81']
Exploring Operation: 34*81=2754, Resulting Numbers: [2754]
2754,81 unequal: No Solution
Exploring Operation: 34+81=115, Resulting Numbers: [115]
115,81 unequal: No Solution
Exploring Operation: 81-34=47, Resulting Numbers: [47]
47,81 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:[81, 34], Operations: ['98-17=81', '34/1=34']
Exploring Operation: 81+34=115, Resulting Numbers: [115]
115,81 unequal: No Solution
Exploring Operation: 81-34=47, Resulting Numbers: [47]
47,81 unequal: No Solution
Exploring Operation: 81*34=2754, Resulting Numbers: [2754]
2754,81 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:[81, 34], Operations: ['98-17=81', '34*1=34']
Exploring Operation: 81*34=2754, Resulting Numbers: [2754]
2754,81 unequal: No Solution
Exploring Operation: 81-34=47, Resulting Numbers: [47]
47,81 unequal: No Solution
Exploring Operation: 81+34=115, Resulting Numbers: [115]
115,81 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: 81:[98, 1, 2], Operations: ['34/17=2']
Exploring Operation: 98-1=97, Resulting Numbers: [2, 97]
Generated Node #0,2,0: 81:[2, 97] Operation: 98-1=97
Exploring Operation: 1+2=3, Resulting Numbers: [98, 3]
Generated Node #0,2,1: 81:[98, 3] Operation: 1+2=3
Exploring Operation: 98*1=98, Resulting Numbers: [2, 98]
Generated Node #0,2,2: 81:[2, 98] Operation: 98*1=98
Exploring Operation: 98-2=96, Resulting Numbers: [1, 96]
Generated Node #0,2,3: 81:[1, 96] Operation: 98-2=96
Moving to Node #0,1
Current State: 81:[98, 1, 17], Operations: ['34-17=17']
Exploring Operation: 98-17=81, Resulting Numbers: [1, 81]
Generated Node #0,1,0: 81:[1, 81] Operation: 98-17=81
Exploring Operation: 98*1=98, Resulting Numbers: [17, 98]
Generated Node #0,1,1: 81:[17, 98] Operation: 98*1=98
Exploring Operation: 17-1=16, Resulting Numbers: [98, 16]
Generated Node #0,1,2: 81:[98, 16] Operation: 17-1=16
Exploring Operation: 98-1=97, Resulting Numbers: [17, 97]
Generated Node #0,1,3: 81:[17, 97] Operation: 98-1=97
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[1, 81], Operations: ['34-17=17', '98-17=81']
Exploring Operation: 1+81=82, Resulting Numbers: [82]
82,81 unequal: No Solution
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,81 unequal: No Solution
Exploring Operation: 1*81=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[34, 98, 1, 17], Operations: []
Exploring Operation: 34-17=17, Resulting Numbers: [98, 1, 17]
Generated Node #0,1: 81:[98, 1, 17] Operation: 34-17=17
Moving to Node #0,1
Current State: 81:[98, 1, 17], Operations: ['34-17=17']
Exploring Operation: 98-17=81, Resulting Numbers: [1, 81]
Generated Node #0,1,0: 81:[1, 81] Operation: 98-17=81
Moving to Node #0,1,0
Current State: 81:[1, 81], Operations: ['34-17=17', '98-17=81']
Exploring Operation: 1*81=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_4 | sum_heuristic |
[
33,
53,
92,
19
] | 92 | [
"53-33=20",
"20-19=1",
"92*1=92"
] | Current State: 92:[33, 53, 92, 19], Operations: []
Exploring Operation: 53-33=20, Resulting Numbers: [92, 19, 20]
Generated Node #2: [92, 19, 20] from Operation: 53-33=20
Current State: 92:[92, 19, 20], Operations: ['53-33=20']
Exploring Operation: 20-19=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 20-19=1
Current State: 92:[92, 1], Operations: ['53-33=20', '20-19=1']
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[33, 53, 92, 19], Operations: []
Exploring Operation: 33+53=86, Resulting Numbers: [92, 19, 86]
Generated Node #0,0: 92:[92, 19, 86] Operation: 33+53=86
Exploring Operation: 53-33=20, Resulting Numbers: [92, 19, 20]
Generated Node #0,1: 92:[92, 19, 20] Operation: 53-33=20
Moving to Node #0,1
Current State: 92:[92, 19, 20], Operations: ['53-33=20']
Exploring Operation: 20-19=1, Resulting Numbers: [92, 1]
Generated Node #0,1,0: 92:[92, 1] Operation: 20-19=1
Exploring Operation: 19+20=39, Resulting Numbers: [92, 39]
Generated Node #0,1,1: 92:[92, 39] Operation: 19+20=39
Moving to Node #0,0
Current State: 92:[92, 19, 86], Operations: ['33+53=86']
Exploring Operation: 19+86=105, Resulting Numbers: [92, 105]
Generated Node #0,0,0: 92:[92, 105] Operation: 19+86=105
Exploring Operation: 92-86=6, Resulting Numbers: [19, 6]
Generated Node #0,0,1: 92:[19, 6] Operation: 92-86=6
Moving to Node #0,1,0
Current State: 92:[92, 1], Operations: ['53-33=20', '20-19=1']
Exploring Operation: 92/1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[33, 53, 92, 19], Operations: []
Exploring Operation: 53-33=20, Resulting Numbers: [92, 19, 20]
Generated Node #0,1: 92:[92, 19, 20] Operation: 53-33=20
Moving to Node #0,1
Current State: 92:[92, 19, 20], Operations: ['53-33=20']
Exploring Operation: 20-19=1, Resulting Numbers: [92, 1]
Generated Node #0,1,0: 92:[92, 1] Operation: 20-19=1
Moving to Node #0,1,0
Current State: 92:[92, 1], Operations: ['53-33=20', '20-19=1']
Exploring Operation: 92/1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 0.990451 | hs_2 | sum_heuristic |
[
83,
59,
5,
79
] | 16 | [
"83-79=4",
"59+5=64",
"64/4=16"
] | Current State: 16:[83, 59, 5, 79], Operations: []
Exploring Operation: 83-79=4, Resulting Numbers: [59, 5, 4]
Generated Node #2: [59, 5, 4] from Operation: 83-79=4
Current State: 16:[59, 5, 4], Operations: ['83-79=4']
Exploring Operation: 59+5=64, Resulting Numbers: [4, 64]
Generated Node #3: [4, 64] from Operation: 59+5=64
Current State: 16:[4, 64], Operations: ['83-79=4', '59+5=64']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[83, 59, 5, 79], Operations: []
Exploring Operation: 83-79=4, Resulting Numbers: [59, 5, 4]
Generated Node #0,0: 16:[59, 5, 4] Operation: 83-79=4
Exploring Operation: 79-59=20, Resulting Numbers: [83, 5, 20]
Generated Node #0,1: 16:[83, 5, 20] Operation: 79-59=20
Exploring Operation: 83-59=24, Resulting Numbers: [5, 79, 24]
Generated Node #0,2: 16:[5, 79, 24] Operation: 83-59=24
Moving to Node #0,0
Current State: 16:[59, 5, 4], Operations: ['83-79=4']
Exploring Operation: 59-4=55, Resulting Numbers: [5, 55]
Generated Node #0,0,0: 16:[5, 55] Operation: 59-4=55
Exploring Operation: 5+4=9, Resulting Numbers: [59, 9]
Generated Node #0,0,1: 16:[59, 9] Operation: 5+4=9
Exploring Operation: 59-5=54, Resulting Numbers: [4, 54]
Generated Node #0,0,2: 16:[4, 54] Operation: 59-5=54
Moving to Node #0,1
Current State: 16:[83, 5, 20], Operations: ['79-59=20']
Exploring Operation: 20/5=4, Resulting Numbers: [83, 4]
Generated Node #0,1,0: 16:[83, 4] Operation: 20/5=4
Exploring Operation: 83-5=78, Resulting Numbers: [20, 78]
Generated Node #0,1,1: 16:[20, 78] Operation: 83-5=78
Exploring Operation: 83-20=63, Resulting Numbers: [5, 63]
Generated Node #0,1,2: 16:[5, 63] Operation: 83-20=63
Moving to Node #0,2
Current State: 16:[5, 79, 24], Operations: ['83-59=24']
Exploring Operation: 24-5=19, Resulting Numbers: [79, 19]
Generated Node #0,2,0: 16:[79, 19] Operation: 24-5=19
Exploring Operation: 79-24=55, Resulting Numbers: [5, 55]
Generated Node #0,2,1: 16:[5, 55] Operation: 79-24=55
Exploring Operation: 79-5=74, Resulting Numbers: [24, 74]
Generated Node #0,2,2: 16:[24, 74] Operation: 79-5=74
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 16:[5, 55], Operations: ['83-59=24', '79-24=55']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,16 unequal: No Solution
Exploring Operation: 5+55=60, Resulting Numbers: [60]
60,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 16:[79, 19], Operations: ['83-59=24', '24-5=19']
Exploring Operation: 79-19=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 79*19=1501, Resulting Numbers: [1501]
1501,16 unequal: No Solution
Exploring Operation: 79+19=98, Resulting Numbers: [98]
98,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 16:[24, 74], Operations: ['83-59=24', '79-5=74']
Exploring Operation: 24*74=1776, Resulting Numbers: [1776]
1776,16 unequal: No Solution
Exploring Operation: 24+74=98, Resulting Numbers: [98]
98,16 unequal: No Solution
Exploring Operation: 74-24=50, Resulting Numbers: [50]
50,16 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: 16:[4, 54], Operations: ['83-79=4', '59-5=54']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,16 unequal: No Solution
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,16 unequal: No Solution
Exploring Operation: 4*54=216, Resulting Numbers: [216]
216,16 unequal: No Solution
Moving to Node #0,0,0
Current State: 16:[5, 55], Operations: ['83-79=4', '59-4=55']
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,16 unequal: No Solution
Exploring Operation: 5+55=60, Resulting Numbers: [60]
60,16 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Moving to Node #0,0,1
Current State: 16:[59, 9], Operations: ['83-79=4', '5+4=9']
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,16 unequal: No Solution
Exploring Operation: 59*9=531, Resulting Numbers: [531]
531,16 unequal: No Solution
Exploring Operation: 59+9=68, Resulting Numbers: [68]
68,16 unequal: No Solution
Moving to Node #0,1,2
Current State: 16:[5, 63], Operations: ['79-59=20', '83-20=63']
Exploring Operation: 63-5=58, Resulting Numbers: [58]
58,16 unequal: No Solution
Exploring Operation: 5*63=315, Resulting Numbers: [315]
315,16 unequal: No Solution
Exploring Operation: 5+63=68, Resulting Numbers: [68]
68,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[20, 78], Operations: ['79-59=20', '83-5=78']
Exploring Operation: 78-20=58, Resulting Numbers: [58]
58,16 unequal: No Solution
Exploring Operation: 20+78=98, Resulting Numbers: [98]
98,16 unequal: No Solution
Exploring Operation: 20*78=1560, Resulting Numbers: [1560]
1560,16 unequal: No Solution
Moving to Node #0,1,0
Current State: 16:[83, 4], Operations: ['79-59=20', '20/5=4']
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,16 unequal: No Solution
Exploring Operation: 83+4=87, Resulting Numbers: [87]
87,16 unequal: No Solution
Exploring Operation: 83*4=332, Resulting Numbers: [332]
332,16 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
51,
68,
34,
71
] | 75 | [
"51-34=17",
"68/17=4",
"71+4=75"
] | Current State: 75:[51, 68, 34, 71], Operations: []
Exploring Operation: 51-34=17, Resulting Numbers: [68, 71, 17]
Generated Node #2: [68, 71, 17] from Operation: 51-34=17
Current State: 75:[68, 71, 17], Operations: ['51-34=17']
Exploring Operation: 68/17=4, Resulting Numbers: [71, 4]
Generated Node #3: [71, 4] from Operation: 68/17=4
Current State: 75:[71, 4], Operations: ['51-34=17', '68/17=4']
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[51, 68, 34, 71], Operations: []
Exploring Operation: 51-34=17, Resulting Numbers: [68, 71, 17]
Generated Node #0,0: 75:[68, 71, 17] Operation: 51-34=17
Exploring Operation: 71-51=20, Resulting Numbers: [68, 34, 20]
Generated Node #0,1: 75:[68, 34, 20] Operation: 71-51=20
Exploring Operation: 51+34=85, Resulting Numbers: [68, 71, 85]
Generated Node #0,2: 75:[68, 71, 85] Operation: 51+34=85
Exploring Operation: 68-51=17, Resulting Numbers: [34, 71, 17]
Generated Node #0,3: 75:[34, 71, 17] Operation: 68-51=17
Moving to Node #0,0
Current State: 75:[68, 71, 17], Operations: ['51-34=17']
Exploring Operation: 71-68=3, Resulting Numbers: [17, 3]
Generated Node #0,0,0: 75:[17, 3] Operation: 71-68=3
Exploring Operation: 68+17=85, Resulting Numbers: [71, 85]
Generated Node #0,0,1: 75:[71, 85] Operation: 68+17=85
Exploring Operation: 68/17=4, Resulting Numbers: [71, 4]
Generated Node #0,0,2: 75:[71, 4] Operation: 68/17=4
Exploring Operation: 71+17=88, Resulting Numbers: [68, 88]
Generated Node #0,0,3: 75:[68, 88] Operation: 71+17=88
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[17, 3], Operations: ['51-34=17', '71-68=3']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,75 unequal: No Solution
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,75 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 75:[71, 4], Operations: ['51-34=17', '68/17=4']
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,75 unequal: No Solution
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[51, 68, 34, 71], Operations: []
Exploring Operation: 51-34=17, Resulting Numbers: [68, 71, 17]
Generated Node #0,0: 75:[68, 71, 17] Operation: 51-34=17
Moving to Node #0,0
Current State: 75:[68, 71, 17], Operations: ['51-34=17']
Exploring Operation: 68/17=4, Resulting Numbers: [71, 4]
Generated Node #0,0,2: 75:[71, 4] Operation: 68/17=4
Moving to Node #0,0,2
Current State: 75:[71, 4], Operations: ['51-34=17', '68/17=4']
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
87,
33,
35,
28
] | 80 | [
"33-28=5",
"35/5=7",
"87-7=80"
] | Current State: 80:[87, 33, 35, 28], Operations: []
Exploring Operation: 33-28=5, Resulting Numbers: [87, 35, 5]
Generated Node #2: [87, 35, 5] from Operation: 33-28=5
Current State: 80:[87, 35, 5], Operations: ['33-28=5']
Exploring Operation: 35/5=7, Resulting Numbers: [87, 7]
Generated Node #3: [87, 7] from Operation: 35/5=7
Current State: 80:[87, 7], Operations: ['33-28=5', '35/5=7']
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[87, 33, 35, 28], Operations: []
Exploring Operation: 33-28=5, Resulting Numbers: [87, 35, 5]
Generated Node #0,0: 80:[87, 35, 5] Operation: 33-28=5
Exploring Operation: 87-33=54, Resulting Numbers: [35, 28, 54]
Generated Node #0,1: 80:[35, 28, 54] Operation: 87-33=54
Exploring Operation: 35-33=2, Resulting Numbers: [87, 28, 2]
Generated Node #0,2: 80:[87, 28, 2] Operation: 35-33=2
Exploring Operation: 35-28=7, Resulting Numbers: [87, 33, 7]
Generated Node #0,3: 80:[87, 33, 7] Operation: 35-28=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[87, 35, 5], Operations: ['33-28=5']
Exploring Operation: 35+5=40, Resulting Numbers: [87, 40]
Generated Node #0,0,0: 80:[87, 40] Operation: 35+5=40
Exploring Operation: 87-35=52, Resulting Numbers: [5, 52]
Generated Node #0,0,1: 80:[5, 52] Operation: 87-35=52
Exploring Operation: 87-5=82, Resulting Numbers: [35, 82]
Generated Node #0,0,2: 80:[35, 82] Operation: 87-5=82
Exploring Operation: 35/5=7, Resulting Numbers: [87, 7]
Generated Node #0,0,3: 80:[87, 7] Operation: 35/5=7
Moving to Node #0,0,0
Current State: 80:[87, 40], Operations: ['33-28=5', '35+5=40']
Exploring Operation: 87*40=3480, Resulting Numbers: [3480]
3480,80 unequal: No Solution
Exploring Operation: 87+40=127, Resulting Numbers: [127]
127,80 unequal: No Solution
Exploring Operation: 87-40=47, Resulting Numbers: [47]
47,80 unequal: No Solution
Moving to Node #0,0,2
Current State: 80:[35, 82], Operations: ['33-28=5', '87-5=82']
Exploring Operation: 35*82=2870, Resulting Numbers: [2870]
2870,80 unequal: No Solution
Exploring Operation: 35+82=117, Resulting Numbers: [117]
117,80 unequal: No Solution
Exploring Operation: 82-35=47, Resulting Numbers: [47]
47,80 unequal: No Solution
Moving to Node #0,0,3
Current State: 80:[87, 7], Operations: ['33-28=5', '35/5=7']
Exploring Operation: 87+7=94, Resulting Numbers: [94]
94,80 unequal: No Solution
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[87, 33, 35, 28], Operations: []
Exploring Operation: 33-28=5, Resulting Numbers: [87, 35, 5]
Generated Node #0,0: 80:[87, 35, 5] Operation: 33-28=5
Moving to Node #0,0
Current State: 80:[87, 35, 5], Operations: ['33-28=5']
Exploring Operation: 35/5=7, Resulting Numbers: [87, 7]
Generated Node #0,0,3: 80:[87, 7] Operation: 35/5=7
Moving to Node #0,0,3
Current State: 80:[87, 7], Operations: ['33-28=5', '35/5=7']
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | mult_heuristic |
[
90,
23,
55,
9
] | 92 | [
"55-9=46",
"46/23=2",
"90+2=92"
] | Current State: 92:[90, 23, 55, 9], Operations: []
Exploring Operation: 55-9=46, Resulting Numbers: [90, 23, 46]
Generated Node #2: [90, 23, 46] from Operation: 55-9=46
Current State: 92:[90, 23, 46], Operations: ['55-9=46']
Exploring Operation: 46/23=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 46/23=2
Current State: 92:[90, 2], Operations: ['55-9=46', '46/23=2']
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[90, 23, 55, 9], Operations: []
Exploring Operation: 55-9=46, Resulting Numbers: [90, 23, 46]
Generated Node #0,0: 92:[90, 23, 46] Operation: 55-9=46
Exploring Operation: 90/9=10, Resulting Numbers: [23, 55, 10]
Generated Node #0,1: 92:[23, 55, 10] Operation: 90/9=10
Exploring Operation: 90-55=35, Resulting Numbers: [23, 9, 35]
Generated Node #0,2: 92:[23, 9, 35] Operation: 90-55=35
Moving to Node #0,0
Current State: 92:[90, 23, 46], Operations: ['55-9=46']
Exploring Operation: 46-23=23, Resulting Numbers: [90, 23]
Generated Node #0,0,0: 92:[90, 23] Operation: 46-23=23
Exploring Operation: 46/23=2, Resulting Numbers: [90, 2]
Generated Node #0,0,1: 92:[90, 2] Operation: 46/23=2
Exploring Operation: 90-46=44, Resulting Numbers: [23, 44]
Generated Node #0,0,2: 92:[23, 44] Operation: 90-46=44
Moving to Node #0,1
Current State: 92:[23, 55, 10], Operations: ['90/9=10']
Exploring Operation: 23-10=13, Resulting Numbers: [55, 13]
Generated Node #0,1,0: 92:[55, 13] Operation: 23-10=13
Exploring Operation: 55-10=45, Resulting Numbers: [23, 45]
Generated Node #0,1,1: 92:[23, 45] Operation: 55-10=45
Exploring Operation: 55-23=32, Resulting Numbers: [10, 32]
Generated Node #0,1,2: 92:[10, 32] Operation: 55-23=32
Moving to Node #0,2
Current State: 92:[23, 9, 35], Operations: ['90-55=35']
Exploring Operation: 9+35=44, Resulting Numbers: [23, 44]
Generated Node #0,2,0: 92:[23, 44] Operation: 9+35=44
Exploring Operation: 35-23=12, Resulting Numbers: [9, 12]
Generated Node #0,2,1: 92:[9, 12] Operation: 35-23=12
Exploring Operation: 35-9=26, Resulting Numbers: [23, 26]
Generated Node #0,2,2: 92:[23, 26] Operation: 35-9=26
Moving to Node #0,1,1
Current State: 92:[23, 45], Operations: ['90/9=10', '55-10=45']
Exploring Operation: 23+45=68, Resulting Numbers: [68]
68,92 unequal: No Solution
Exploring Operation: 23*45=1035, Resulting Numbers: [1035]
1035,92 unequal: No Solution
Exploring Operation: 45-23=22, Resulting Numbers: [22]
22,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[23, 44], Operations: ['55-9=46', '90-46=44']
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,92 unequal: No Solution
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,92 unequal: No Solution
Exploring Operation: 23*44=1012, Resulting Numbers: [1012]
1012,92 unequal: No Solution
Moving to Node #0,2,0
Current State: 92:[23, 44], Operations: ['90-55=35', '9+35=44']
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,92 unequal: No Solution
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,92 unequal: No Solution
Exploring Operation: 23*44=1012, Resulting Numbers: [1012]
1012,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[90, 23], Operations: ['55-9=46', '46-23=23']
Exploring Operation: 90*23=2070, Resulting Numbers: [2070]
2070,92 unequal: No Solution
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,92 unequal: No Solution
Exploring Operation: 90+23=113, Resulting Numbers: [113]
113,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[90, 2], Operations: ['55-9=46', '46/23=2']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,92 unequal: No Solution
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[90, 23, 55, 9], Operations: []
Exploring Operation: 55-9=46, Resulting Numbers: [90, 23, 46]
Generated Node #0,0: 92:[90, 23, 46] Operation: 55-9=46
Moving to Node #0,0
Current State: 92:[90, 23, 46], Operations: ['55-9=46']
Exploring Operation: 46/23=2, Resulting Numbers: [90, 2]
Generated Node #0,0,1: 92:[90, 2] Operation: 46/23=2
Moving to Node #0,0,1
Current State: 92:[90, 2], Operations: ['55-9=46', '46/23=2']
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 0.973958 | hs_3 | sum_heuristic |
[
75,
16,
36,
45
] | 55 | [
"16*45=720",
"720/36=20",
"75-20=55"
] | Current State: 55:[75, 16, 36, 45], Operations: []
Exploring Operation: 16*45=720, Resulting Numbers: [75, 36, 720]
Generated Node #2: [75, 36, 720] from Operation: 16*45=720
Current State: 55:[75, 36, 720], Operations: ['16*45=720']
Exploring Operation: 720/36=20, Resulting Numbers: [75, 20]
Generated Node #3: [75, 20] from Operation: 720/36=20
Current State: 55:[75, 20], Operations: ['16*45=720', '720/36=20']
Exploring Operation: 75-20=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[75, 16, 36, 45], Operations: []
Exploring Operation: 45-36=9, Resulting Numbers: [75, 16, 9]
Generated Node #0,0: 55:[75, 16, 9] Operation: 45-36=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 55:[75, 16, 9], Operations: ['45-36=9']
Exploring Operation: 75-16=59, Resulting Numbers: [9, 59]
Generated Node #0,0,0: 55:[9, 59] Operation: 75-16=59
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 55:[9, 59], Operations: ['45-36=9', '75-16=59']
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,55 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 |
[
39,
52,
41,
2
] | 66 | [
"39+52=91",
"41+91=132",
"132/2=66"
] | Current State: 66:[39, 52, 41, 2], Operations: []
Exploring Operation: 39+52=91, Resulting Numbers: [41, 2, 91]
Generated Node #2: [41, 2, 91] from Operation: 39+52=91
Current State: 66:[41, 2, 91], Operations: ['39+52=91']
Exploring Operation: 41+91=132, Resulting Numbers: [2, 132]
Generated Node #3: [2, 132] from Operation: 41+91=132
Current State: 66:[2, 132], Operations: ['39+52=91', '41+91=132']
Exploring Operation: 132/2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[39, 52, 41, 2], Operations: []
Exploring Operation: 52/2=26, Resulting Numbers: [39, 41, 26]
Generated Node #0,0: 66:[39, 41, 26] Operation: 52/2=26
Exploring Operation: 52-41=11, Resulting Numbers: [39, 2, 11]
Generated Node #0,1: 66:[39, 2, 11] Operation: 52-41=11
Exploring Operation: 41-39=2, Resulting Numbers: [52, 2, 2]
Generated Node #0,2: 66:[52, 2, 2] Operation: 41-39=2
Exploring Operation: 39-2=37, Resulting Numbers: [52, 41, 37]
Generated Node #0,3: 66:[52, 41, 37] Operation: 39-2=37
Exploring Operation: 52-39=13, Resulting Numbers: [41, 2, 13]
Generated Node #0,4: 66:[41, 2, 13] Operation: 52-39=13
Moving to Node #0,1
Current State: 66:[39, 2, 11], Operations: ['52-41=11']
Exploring Operation: 39-2=37, Resulting Numbers: [11, 37]
Generated Node #0,1,0: 66:[11, 37] Operation: 39-2=37
Exploring Operation: 2*11=22, Resulting Numbers: [39, 22]
Generated Node #0,1,1: 66:[39, 22] Operation: 2*11=22
Exploring Operation: 39-11=28, Resulting Numbers: [2, 28]
Generated Node #0,1,2: 66:[2, 28] Operation: 39-11=28
Exploring Operation: 2+11=13, Resulting Numbers: [39, 13]
Generated Node #0,1,3: 66:[39, 13] Operation: 2+11=13
Exploring Operation: 39+2=41, Resulting Numbers: [11, 41]
Generated Node #0,1,4: 66:[11, 41] Operation: 39+2=41
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 66:[11, 37], Operations: ['52-41=11', '39-2=37']
Exploring Operation: 11*37=407, Resulting Numbers: [407]
407,66 unequal: No Solution
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Exploring Operation: 11+37=48, Resulting Numbers: [48]
48,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 66:[2, 28], Operations: ['52-41=11', '39-11=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 66:[39, 22], Operations: ['52-41=11', '2*11=22']
Exploring Operation: 39+22=61, Resulting Numbers: [61]
61,66 unequal: No Solution
Exploring Operation: 39*22=858, Resulting Numbers: [858]
858,66 unequal: No Solution
Exploring Operation: 39-22=17, Resulting Numbers: [17]
17,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 66:[39, 13], Operations: ['52-41=11', '2+11=13']
Exploring Operation: 39+13=52, Resulting Numbers: [52]
52,66 unequal: No Solution
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 39*13=507, Resulting Numbers: [507]
507,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 66:[11, 41], Operations: ['52-41=11', '39+2=41']
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 11+41=52, Resulting Numbers: [52]
52,66 unequal: No Solution
Exploring Operation: 11*41=451, Resulting Numbers: [451]
451,66 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: 66:[41, 2, 13], Operations: ['52-39=13']
Exploring Operation: 41-2=39, Resulting Numbers: [13, 39]
Generated Node #0,4,0: 66:[13, 39] Operation: 41-2=39
Exploring Operation: 41-13=28, Resulting Numbers: [2, 28]
Generated Node #0,4,1: 66:[2, 28] Operation: 41-13=28
Exploring Operation: 41+2=43, Resulting Numbers: [13, 43]
Generated Node #0,4,2: 66:[13, 43] Operation: 41+2=43
Exploring Operation: 13-2=11, Resulting Numbers: [41, 11]
Generated Node #0,4,3: 66:[41, 11] Operation: 13-2=11
Exploring Operation: 41+13=54, Resulting Numbers: [2, 54]
Generated Node #0,4,4: 66:[2, 54] Operation: 41+13=54
Moving to Node #0,2
Current State: 66:[52, 2, 2], Operations: ['41-39=2']
Exploring Operation: 52/2=26, Resulting Numbers: [2, 26]
Generated Node #0,2,0: 66:[2, 26] Operation: 52/2=26
Exploring Operation: 52+2=54, Resulting Numbers: [2, 54]
Generated Node #0,2,1: 66:[2, 54] Operation: 52+2=54
Exploring Operation: 2+2=4, Resulting Numbers: [52, 4]
Generated Node #0,2,2: 66:[52, 4] Operation: 2+2=4
Exploring Operation: 52+2=54, Resulting Numbers: [2, 54]
Generated Node #0,2,3: 66:[2, 54] Operation: 52+2=54
Exploring Operation: 52/2=26, Resulting Numbers: [2, 26]
Generated Node #0,2,4: 66:[2, 26] Operation: 52/2=26
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 66:[2, 26], Operations: ['41-39=2', '52/2=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,66 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,66 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 66:[2, 26], Operations: ['41-39=2', '52/2=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,66 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,66 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 66:[2, 54], Operations: ['41-39=2', '52+2=54']
Exploring Operation: 2*54=108, Resulting Numbers: [108]
108,66 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,66 unequal: No Solution
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 66:[2, 54], Operations: ['41-39=2', '52+2=54']
Exploring Operation: 2*54=108, Resulting Numbers: [108]
108,66 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,66 unequal: No Solution
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,66 unequal: No Solution
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 66:[52, 4], Operations: ['41-39=2', '2+2=4']
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Exploring Operation: 52*4=208, Resulting Numbers: [208]
208,66 unequal: No Solution
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,66 unequal: No Solution
Exploring Operation: 52+4=56, Resulting Numbers: [56]
56,66 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: 66:[39, 41, 26], Operations: ['52/2=26']
Exploring Operation: 41-26=15, Resulting Numbers: [39, 15]
Generated Node #0,0,0: 66:[39, 15] Operation: 41-26=15
Exploring Operation: 41+26=67, Resulting Numbers: [39, 67]
Generated Node #0,0,1: 66:[39, 67] Operation: 41+26=67
Exploring Operation: 39-26=13, Resulting Numbers: [41, 13]
Generated Node #0,0,2: 66:[41, 13] Operation: 39-26=13
Exploring Operation: 41-39=2, Resulting Numbers: [26, 2]
Generated Node #0,0,3: 66:[26, 2] Operation: 41-39=2
Exploring Operation: 39+26=65, Resulting Numbers: [41, 65]
Generated Node #0,0,4: 66:[41, 65] Operation: 39+26=65
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 66:[26, 2], Operations: ['52/2=26', '41-39=2']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,66 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,66 unequal: No Solution
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 66:[39, 67], Operations: ['52/2=26', '41+26=67']
Exploring Operation: 67-39=28, Resulting Numbers: [28]
28,66 unequal: No Solution
Exploring Operation: 39+67=106, Resulting Numbers: [106]
106,66 unequal: No Solution
Exploring Operation: 39*67=2613, Resulting Numbers: [2613]
2613,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 66:[41, 65], Operations: ['52/2=26', '39+26=65']
Exploring Operation: 41+65=106, Resulting Numbers: [106]
106,66 unequal: No Solution
Exploring Operation: 41*65=2665, Resulting Numbers: [2665]
2665,66 unequal: No Solution
Exploring Operation: 65-41=24, Resulting Numbers: [24]
24,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[39, 15], Operations: ['52/2=26', '41-26=15']
Exploring Operation: 39*15=585, Resulting Numbers: [585]
585,66 unequal: No Solution
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,66 unequal: No Solution
Exploring Operation: 39+15=54, Resulting Numbers: [54]
54,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 66:[41, 13], Operations: ['52/2=26', '39-26=13']
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,66 unequal: No Solution
Exploring Operation: 41*13=533, Resulting Numbers: [533]
533,66 unequal: No Solution
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,66 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: 66:[52, 41, 37], Operations: ['39-2=37']
Exploring Operation: 52-37=15, Resulting Numbers: [41, 15]
Generated Node #0,3,0: 66:[41, 15] Operation: 52-37=15
Exploring Operation: 41+37=78, Resulting Numbers: [52, 78]
Generated Node #0,3,1: 66:[52, 78] Operation: 41+37=78
Exploring Operation: 52-41=11, Resulting Numbers: [37, 11]
Generated Node #0,3,2: 66:[37, 11] Operation: 52-41=11
Exploring Operation: 52+41=93, Resulting Numbers: [37, 93]
Generated Node #0,3,3: 66:[37, 93] Operation: 52+41=93
Exploring Operation: 41-37=4, Resulting Numbers: [52, 4]
Generated Node #0,3,4: 66:[52, 4] Operation: 41-37=4
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 66:[37, 11], Operations: ['39-2=37', '52-41=11']
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,66 unequal: No Solution
Exploring Operation: 37*11=407, Resulting Numbers: [407]
407,66 unequal: No Solution
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 66:[41, 15], Operations: ['39-2=37', '52-37=15']
Exploring Operation: 41+15=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Exploring Operation: 41*15=615, Resulting Numbers: [615]
615,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 66:[52, 4], Operations: ['39-2=37', '41-37=4']
Exploring Operation: 52*4=208, Resulting Numbers: [208]
208,66 unequal: No Solution
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Exploring Operation: 52+4=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 66:[52, 78], Operations: ['39-2=37', '41+37=78']
Exploring Operation: 52+78=130, Resulting Numbers: [130]
130,66 unequal: No Solution
Exploring Operation: 78-52=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Exploring Operation: 52*78=4056, Resulting Numbers: [4056]
4056,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 66:[37, 93], Operations: ['39-2=37', '52+41=93']
Exploring Operation: 37*93=3441, Resulting Numbers: [3441]
3441,66 unequal: No Solution
Exploring Operation: 37+93=130, Resulting Numbers: [130]
130,66 unequal: No Solution
Exploring Operation: 93-37=56, Resulting Numbers: [56]
56,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,1
Current State: 66:[2, 28], Operations: ['52-39=13', '41-13=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,66 unequal: No Solution
Moving to Node #0,4,3
Current State: 66:[41, 11], Operations: ['52-39=13', '13-2=11']
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 41+11=52, Resulting Numbers: [52]
52,66 unequal: No Solution
Exploring Operation: 41*11=451, Resulting Numbers: [451]
451,66 unequal: No Solution
Moving to Node #0,4,0
Current State: 66:[13, 39], Operations: ['52-39=13', '41-2=39']
Exploring Operation: 13*39=507, Resulting Numbers: [507]
507,66 unequal: No Solution
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Exploring Operation: 13+39=52, Resulting Numbers: [52]
52,66 unequal: No Solution
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Moving to Node #0,4,2
Current State: 66:[13, 43], Operations: ['52-39=13', '41+2=43']
Exploring Operation: 13+43=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 13*43=559, Resulting Numbers: [559]
559,66 unequal: No Solution
Moving to Node #0,4,4
Current State: 66:[2, 54], Operations: ['52-39=13', '41+13=54']
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,66 unequal: No Solution
Exploring Operation: 2*54=108, Resulting Numbers: [108]
108,66 unequal: No Solution
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,66 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
9,
52,
53,
25
] | 89 | [
"9+52=61",
"53-25=28",
"61+28=89"
] | Current State: 89:[9, 52, 53, 25], Operations: []
Exploring Operation: 9+52=61, Resulting Numbers: [53, 25, 61]
Generated Node #2: [53, 25, 61] from Operation: 9+52=61
Current State: 89:[53, 25, 61], Operations: ['9+52=61']
Exploring Operation: 53-25=28, Resulting Numbers: [61, 28]
Generated Node #3: [61, 28] from Operation: 53-25=28
Current State: 89:[61, 28], Operations: ['9+52=61', '53-25=28']
Exploring Operation: 61+28=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[9, 52, 53, 25], Operations: []
Exploring Operation: 9+52=61, Resulting Numbers: [53, 25, 61]
Generated Node #0,0: 89:[53, 25, 61] Operation: 9+52=61
Exploring Operation: 52+25=77, Resulting Numbers: [9, 53, 77]
Generated Node #0,1: 89:[9, 53, 77] Operation: 52+25=77
Exploring Operation: 53+25=78, Resulting Numbers: [9, 52, 78]
Generated Node #0,2: 89:[9, 52, 78] Operation: 53+25=78
Exploring Operation: 9+25=34, Resulting Numbers: [52, 53, 34]
Generated Node #0,3: 89:[52, 53, 34] Operation: 9+25=34
Exploring Operation: 9+53=62, Resulting Numbers: [52, 25, 62]
Generated Node #0,4: 89:[52, 25, 62] Operation: 9+53=62
Moving to Node #0,0
Current State: 89:[53, 25, 61], Operations: ['9+52=61']
Exploring Operation: 53-25=28, Resulting Numbers: [61, 28]
Generated Node #0,0,0: 89:[61, 28] Operation: 53-25=28
Exploring Operation: 53+61=114, Resulting Numbers: [25, 114]
Generated Node #0,0,1: 89:[25, 114] Operation: 53+61=114
Exploring Operation: 25+61=86, Resulting Numbers: [53, 86]
Generated Node #0,0,2: 89:[53, 86] Operation: 25+61=86
Exploring Operation: 61-25=36, Resulting Numbers: [53, 36]
Generated Node #0,0,3: 89:[53, 36] Operation: 61-25=36
Exploring Operation: 53+25=78, Resulting Numbers: [61, 78]
Generated Node #0,0,4: 89:[61, 78] Operation: 53+25=78
Moving to Node #0,2
Current State: 89:[9, 52, 78], Operations: ['53+25=78']
Exploring Operation: 52+78=130, Resulting Numbers: [9, 130]
Generated Node #0,2,0: 89:[9, 130] Operation: 52+78=130
Exploring Operation: 9+78=87, Resulting Numbers: [52, 87]
Generated Node #0,2,1: 89:[52, 87] Operation: 9+78=87
Exploring Operation: 52-9=43, Resulting Numbers: [78, 43]
Generated Node #0,2,2: 89:[78, 43] Operation: 52-9=43
Exploring Operation: 78-9=69, Resulting Numbers: [52, 69]
Generated Node #0,2,3: 89:[52, 69] Operation: 78-9=69
Exploring Operation: 9+52=61, Resulting Numbers: [78, 61]
Generated Node #0,2,4: 89:[78, 61] Operation: 9+52=61
Moving to Node #0,4
Current State: 89:[52, 25, 62], Operations: ['9+53=62']
Exploring Operation: 52-25=27, Resulting Numbers: [62, 27]
Generated Node #0,4,0: 89:[62, 27] Operation: 52-25=27
Exploring Operation: 52+25=77, Resulting Numbers: [62, 77]
Generated Node #0,4,1: 89:[62, 77] Operation: 52+25=77
Exploring Operation: 25+62=87, Resulting Numbers: [52, 87]
Generated Node #0,4,2: 89:[52, 87] Operation: 25+62=87
Exploring Operation: 62-25=37, Resulting Numbers: [52, 37]
Generated Node #0,4,3: 89:[52, 37] Operation: 62-25=37
Exploring Operation: 52+62=114, Resulting Numbers: [25, 114]
Generated Node #0,4,4: 89:[25, 114] Operation: 52+62=114
Moving to Node #0,1
Current State: 89:[9, 53, 77], Operations: ['52+25=77']
Exploring Operation: 9+77=86, Resulting Numbers: [53, 86]
Generated Node #0,1,0: 89:[53, 86] Operation: 9+77=86
Exploring Operation: 77-9=68, Resulting Numbers: [53, 68]
Generated Node #0,1,1: 89:[53, 68] Operation: 77-9=68
Exploring Operation: 53-9=44, Resulting Numbers: [77, 44]
Generated Node #0,1,2: 89:[77, 44] Operation: 53-9=44
Exploring Operation: 9+53=62, Resulting Numbers: [77, 62]
Generated Node #0,1,3: 89:[77, 62] Operation: 9+53=62
Exploring Operation: 53+77=130, Resulting Numbers: [9, 130]
Generated Node #0,1,4: 89:[9, 130] Operation: 53+77=130
Moving to Node #0,3
Current State: 89:[52, 53, 34], Operations: ['9+25=34']
Exploring Operation: 52+53=105, Resulting Numbers: [34, 105]
Generated Node #0,3,0: 89:[34, 105] Operation: 52+53=105
Exploring Operation: 52+34=86, Resulting Numbers: [53, 86]
Generated Node #0,3,1: 89:[53, 86] Operation: 52+34=86
Exploring Operation: 53+34=87, Resulting Numbers: [52, 87]
Generated Node #0,3,2: 89:[52, 87] Operation: 53+34=87
Exploring Operation: 53-34=19, Resulting Numbers: [52, 19]
Generated Node #0,3,3: 89:[52, 19] Operation: 53-34=19
Exploring Operation: 52-34=18, Resulting Numbers: [53, 18]
Generated Node #0,3,4: 89:[53, 18] Operation: 52-34=18
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 89:[53, 86], Operations: ['9+25=34', '52+34=86']
Exploring Operation: 53*86=4558, Resulting Numbers: [4558]
4558,89 unequal: No Solution
Exploring Operation: 86-53=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 53+86=139, Resulting Numbers: [139]
139,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 89:[52, 87], Operations: ['9+25=34', '53+34=87']
Exploring Operation: 52+87=139, Resulting Numbers: [139]
139,89 unequal: No Solution
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,89 unequal: No Solution
Exploring Operation: 52*87=4524, Resulting Numbers: [4524]
4524,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 89:[34, 105], Operations: ['9+25=34', '52+53=105']
Exploring Operation: 34*105=3570, Resulting Numbers: [3570]
3570,89 unequal: No Solution
Exploring Operation: 34+105=139, Resulting Numbers: [139]
139,89 unequal: No Solution
Exploring Operation: 105-34=71, Resulting Numbers: [71]
71,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 89:[52, 19], Operations: ['9+25=34', '53-34=19']
Exploring Operation: 52-19=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 52+19=71, Resulting Numbers: [71]
71,89 unequal: No Solution
Exploring Operation: 52*19=988, Resulting Numbers: [988]
988,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 89:[53, 18], Operations: ['9+25=34', '52-34=18']
Exploring Operation: 53*18=954, Resulting Numbers: [954]
954,89 unequal: No Solution
Exploring Operation: 53-18=35, Resulting Numbers: [35]
35,89 unequal: No Solution
Exploring Operation: 53+18=71, Resulting Numbers: [71]
71,89 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: 89:[53, 86], Operations: ['9+52=61', '25+61=86']
Exploring Operation: 53+86=139, Resulting Numbers: [139]
139,89 unequal: No Solution
Exploring Operation: 53*86=4558, Resulting Numbers: [4558]
4558,89 unequal: No Solution
Exploring Operation: 86-53=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Moving to Node #0,2,1
Current State: 89:[52, 87], Operations: ['53+25=78', '9+78=87']
Exploring Operation: 52*87=4524, Resulting Numbers: [4524]
4524,89 unequal: No Solution
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,89 unequal: No Solution
Exploring Operation: 52+87=139, Resulting Numbers: [139]
139,89 unequal: No Solution
Moving to Node #0,2,4
Current State: 89:[78, 61], Operations: ['53+25=78', '9+52=61']
Exploring Operation: 78*61=4758, Resulting Numbers: [4758]
4758,89 unequal: No Solution
Exploring Operation: 78-61=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 78+61=139, Resulting Numbers: [139]
139,89 unequal: No Solution
Moving to Node #0,4,2
Current State: 89:[52, 87], Operations: ['9+53=62', '25+62=87']
Exploring Operation: 52*87=4524, Resulting Numbers: [4524]
4524,89 unequal: No Solution
Exploring Operation: 52+87=139, Resulting Numbers: [139]
139,89 unequal: No Solution
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,89 unequal: No Solution
Moving to Node #0,0,4
Current State: 89:[61, 78], Operations: ['9+52=61', '53+25=78']
Exploring Operation: 61+78=139, Resulting Numbers: [139]
139,89 unequal: No Solution
Exploring Operation: 61*78=4758, Resulting Numbers: [4758]
4758,89 unequal: No Solution
Exploring Operation: 78-61=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Moving to Node #0,4,1
Current State: 89:[62, 77], Operations: ['9+53=62', '52+25=77']
Exploring Operation: 62*77=4774, Resulting Numbers: [4774]
4774,89 unequal: No Solution
Exploring Operation: 62+77=139, Resulting Numbers: [139]
139,89 unequal: No Solution
Exploring Operation: 77-62=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[53, 86], Operations: ['52+25=77', '9+77=86']
Exploring Operation: 86-53=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 53+86=139, Resulting Numbers: [139]
139,89 unequal: No Solution
Exploring Operation: 53*86=4558, Resulting Numbers: [4558]
4558,89 unequal: No Solution
Moving to Node #0,1,3
Current State: 89:[77, 62], Operations: ['52+25=77', '9+53=62']
Exploring Operation: 77*62=4774, Resulting Numbers: [4774]
4774,89 unequal: No Solution
Exploring Operation: 77-62=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 77+62=139, Resulting Numbers: [139]
139,89 unequal: No Solution
Moving to Node #0,1,2
Current State: 89:[77, 44], Operations: ['52+25=77', '53-9=44']
Exploring Operation: 77+44=121, Resulting Numbers: [121]
121,89 unequal: No Solution
Exploring Operation: 77-44=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 77*44=3388, Resulting Numbers: [3388]
3388,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[53, 68], Operations: ['52+25=77', '77-9=68']
Exploring Operation: 53*68=3604, Resulting Numbers: [3604]
3604,89 unequal: No Solution
Exploring Operation: 68-53=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 53+68=121, Resulting Numbers: [121]
121,89 unequal: No Solution
Moving to Node #0,2,2
Current State: 89:[78, 43], Operations: ['53+25=78', '52-9=43']
Exploring Operation: 78+43=121, Resulting Numbers: [121]
121,89 unequal: No Solution
Exploring Operation: 78-43=35, Resulting Numbers: [35]
35,89 unequal: No Solution
Exploring Operation: 78*43=3354, Resulting Numbers: [3354]
3354,89 unequal: No Solution
Moving to Node #0,2,3
Current State: 89:[52, 69], Operations: ['53+25=78', '78-9=69']
Exploring Operation: 52+69=121, Resulting Numbers: [121]
121,89 unequal: No Solution
Exploring Operation: 52*69=3588, Resulting Numbers: [3588]
3588,89 unequal: No Solution
Exploring Operation: 69-52=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Moving to Node #0,4,4
Current State: 89:[25, 114], Operations: ['9+53=62', '52+62=114']
Exploring Operation: 25+114=139, Resulting Numbers: [139]
139,89 unequal: No Solution
Exploring Operation: 25*114=2850, Resulting Numbers: [2850]
2850,89 unequal: No Solution
Exploring Operation: 114-25=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[9, 52, 53, 25], Operations: []
Exploring Operation: 9+53=62, Resulting Numbers: [52, 25, 62]
Generated Node #0,4: 89:[52, 25, 62] Operation: 9+53=62
Moving to Node #0,4
Current State: 89:[52, 25, 62], Operations: ['9+53=62']
Exploring Operation: 52+62=114, Resulting Numbers: [25, 114]
Generated Node #0,4,4: 89:[25, 114] Operation: 52+62=114
Moving to Node #0,4,4
Current State: 89:[25, 114], Operations: ['9+53=62', '52+62=114']
Exploring Operation: 114-25=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 0.923611 | hs_5 | mult_heuristic |
[
2,
51,
23,
86
] | 30 | [
"51-23=28",
"2*28=56",
"86-56=30"
] | Current State: 30:[2, 51, 23, 86], Operations: []
Exploring Operation: 51-23=28, Resulting Numbers: [2, 86, 28]
Generated Node #2: [2, 86, 28] from Operation: 51-23=28
Current State: 30:[2, 86, 28], Operations: ['51-23=28']
Exploring Operation: 2*28=56, Resulting Numbers: [86, 56]
Generated Node #3: [86, 56] from Operation: 2*28=56
Current State: 30:[86, 56], Operations: ['51-23=28', '2*28=56']
Exploring Operation: 86-56=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[2, 51, 23, 86], Operations: []
Exploring Operation: 86/2=43, Resulting Numbers: [51, 23, 43]
Generated Node #0,0: 30:[51, 23, 43] Operation: 86/2=43
Exploring Operation: 86-51=35, Resulting Numbers: [2, 23, 35]
Generated Node #0,1: 30:[2, 23, 35] Operation: 86-51=35
Exploring Operation: 86-23=63, Resulting Numbers: [2, 51, 63]
Generated Node #0,2: 30:[2, 51, 63] Operation: 86-23=63
Moving to Node #0,1
Current State: 30:[2, 23, 35], Operations: ['86-51=35']
Exploring Operation: 35-2=33, Resulting Numbers: [23, 33]
Generated Node #0,1,0: 30:[23, 33] Operation: 35-2=33
Exploring Operation: 2+23=25, Resulting Numbers: [35, 25]
Generated Node #0,1,1: 30:[35, 25] Operation: 2+23=25
Exploring Operation: 35-23=12, Resulting Numbers: [2, 12]
Generated Node #0,1,2: 30:[2, 12] Operation: 35-23=12
Moving to Node #0,0
Current State: 30:[51, 23, 43], Operations: ['86/2=43']
Exploring Operation: 51-23=28, Resulting Numbers: [43, 28]
Generated Node #0,0,0: 30:[43, 28] Operation: 51-23=28
Exploring Operation: 51-43=8, Resulting Numbers: [23, 8]
Generated Node #0,0,1: 30:[23, 8] Operation: 51-43=8
Exploring Operation: 43-23=20, Resulting Numbers: [51, 20]
Generated Node #0,0,2: 30:[51, 20] Operation: 43-23=20
Moving to Node #0,2
Current State: 30:[2, 51, 63], Operations: ['86-23=63']
Exploring Operation: 63-51=12, Resulting Numbers: [2, 12]
Generated Node #0,2,0: 30:[2, 12] Operation: 63-51=12
Exploring Operation: 63-2=61, Resulting Numbers: [51, 61]
Generated Node #0,2,1: 30:[51, 61] Operation: 63-2=61
Exploring Operation: 51-2=49, Resulting Numbers: [63, 49]
Generated Node #0,2,2: 30:[63, 49] Operation: 51-2=49
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 30:[2, 12], Operations: ['86-23=63', '63-51=12']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,30 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,30 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 #0,2,1
Current State: 30:[51, 61], Operations: ['86-23=63', '63-2=61']
Exploring Operation: 51+61=112, Resulting Numbers: [112]
112,30 unequal: No Solution
Exploring Operation: 61-51=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 51*61=3111, Resulting Numbers: [3111]
3111,30 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 #0,2,2
Current State: 30:[63, 49], Operations: ['86-23=63', '51-2=49']
Exploring Operation: 63*49=3087, Resulting Numbers: [3087]
3087,30 unequal: No Solution
Exploring Operation: 63+49=112, Resulting Numbers: [112]
112,30 unequal: No Solution
Exploring Operation: 63-49=14, Resulting Numbers: [14]
14,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 30:[2, 12], Operations: ['86-51=35', '35-23=12']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,30 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[23, 8], Operations: ['86/2=43', '51-43=8']
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,30 unequal: No Solution
Exploring Operation: 23*8=184, Resulting Numbers: [184]
184,30 unequal: No Solution
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Moving to Node #0,1,1
Current State: 30:[35, 25], Operations: ['86-51=35', '2+23=25']
Exploring Operation: 35*25=875, Resulting Numbers: [875]
875,30 unequal: No Solution
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Exploring Operation: 35+25=60, Resulting Numbers: [60]
60,30 unequal: No Solution
Moving to Node #0,1,0
Current State: 30:[23, 33], Operations: ['86-51=35', '35-2=33']
Exploring Operation: 23+33=56, Resulting Numbers: [56]
56,30 unequal: No Solution
Exploring Operation: 23*33=759, Resulting Numbers: [759]
759,30 unequal: No Solution
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,30 unequal: No Solution
Moving to Node #0,0,0
Current State: 30:[43, 28], Operations: ['86/2=43', '51-23=28']
Exploring Operation: 43+28=71, Resulting Numbers: [71]
71,30 unequal: No Solution
Exploring Operation: 43*28=1204, Resulting Numbers: [1204]
1204,30 unequal: No Solution
Exploring Operation: 43-28=15, Resulting Numbers: [15]
15,30 unequal: No Solution
Moving to Node #0,0,2
Current State: 30:[51, 20], Operations: ['86/2=43', '43-23=20']
Exploring Operation: 51+20=71, Resulting Numbers: [71]
71,30 unequal: No Solution
Exploring Operation: 51*20=1020, Resulting Numbers: [1020]
1020,30 unequal: No Solution
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,30 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
5,
47,
3,
75
] | 81 | [
"5+47=52",
"3*52=156",
"156-75=81"
] | Current State: 81:[5, 47, 3, 75], Operations: []
Exploring Operation: 5+47=52, Resulting Numbers: [3, 75, 52]
Generated Node #2: [3, 75, 52] from Operation: 5+47=52
Current State: 81:[3, 75, 52], Operations: ['5+47=52']
Exploring Operation: 3*52=156, Resulting Numbers: [75, 156]
Generated Node #3: [75, 156] from Operation: 3*52=156
Current State: 81:[75, 156], Operations: ['5+47=52', '3*52=156']
Exploring Operation: 156-75=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[5, 47, 3, 75], Operations: []
Exploring Operation: 75-47=28, Resulting Numbers: [5, 3, 28]
Generated Node #0,0: 81:[5, 3, 28] Operation: 75-47=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[5, 3, 28], Operations: ['75-47=28']
Exploring Operation: 5+3=8, Resulting Numbers: [28, 8]
Generated Node #0,0,0: 81:[28, 8] Operation: 5+3=8
Moving to Node #0,0,0
Current State: 81:[28, 8], Operations: ['75-47=28', '5+3=8']
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
84,
17,
21,
45
] | 77 | [
"84+17=101",
"45-21=24",
"101-24=77"
] | Current State: 77:[84, 17, 21, 45], Operations: []
Exploring Operation: 84+17=101, Resulting Numbers: [21, 45, 101]
Generated Node #2: [21, 45, 101] from Operation: 84+17=101
Current State: 77:[21, 45, 101], Operations: ['84+17=101']
Exploring Operation: 45-21=24, Resulting Numbers: [101, 24]
Generated Node #3: [101, 24] from Operation: 45-21=24
Current State: 77:[101, 24], Operations: ['84+17=101', '45-21=24']
Exploring Operation: 101-24=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[84, 17, 21, 45], Operations: []
Exploring Operation: 45-17=28, Resulting Numbers: [84, 21, 28]
Generated Node #0,0: 77:[84, 21, 28] Operation: 45-17=28
Exploring Operation: 45-21=24, Resulting Numbers: [84, 17, 24]
Generated Node #0,1: 77:[84, 17, 24] Operation: 45-21=24
Exploring Operation: 84/21=4, Resulting Numbers: [17, 45, 4]
Generated Node #0,2: 77:[17, 45, 4] Operation: 84/21=4
Exploring Operation: 21+45=66, Resulting Numbers: [84, 17, 66]
Generated Node #0,3: 77:[84, 17, 66] Operation: 21+45=66
Exploring Operation: 17+45=62, Resulting Numbers: [84, 21, 62]
Generated Node #0,4: 77:[84, 21, 62] Operation: 17+45=62
Start Sub Search at level 1: Moving to Node #0,3
Current State: 77:[84, 17, 66], Operations: ['21+45=66']
Exploring Operation: 84+17=101, Resulting Numbers: [66, 101]
Generated Node #0,3,0: 77:[66, 101] Operation: 84+17=101
Exploring Operation: 84-66=18, Resulting Numbers: [17, 18]
Generated Node #0,3,1: 77:[17, 18] Operation: 84-66=18
Exploring Operation: 84-17=67, Resulting Numbers: [66, 67]
Generated Node #0,3,2: 77:[66, 67] Operation: 84-17=67
Exploring Operation: 66-17=49, Resulting Numbers: [84, 49]
Generated Node #0,3,3: 77:[84, 49] Operation: 66-17=49
Exploring Operation: 17+66=83, Resulting Numbers: [84, 83]
Generated Node #0,3,4: 77:[84, 83] Operation: 17+66=83
Moving to Node #0,3,1
Current State: 77:[17, 18], Operations: ['21+45=66', '84-66=18']
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Exploring Operation: 17+18=35, Resulting Numbers: [35]
35,77 unequal: No Solution
Exploring Operation: 17*18=306, Resulting Numbers: [306]
306,77 unequal: No Solution
Moving to Node #0,3,4
Current State: 77:[84, 83], Operations: ['21+45=66', '17+66=83']
Exploring Operation: 84+83=167, Resulting Numbers: [167]
167,77 unequal: No Solution
Exploring Operation: 84*83=6972, Resulting Numbers: [6972]
6972,77 unequal: No Solution
Exploring Operation: 84-83=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Moving to Node #0,3,2
Current State: 77:[66, 67], Operations: ['21+45=66', '84-17=67']
Exploring Operation: 66+67=133, Resulting Numbers: [133]
133,77 unequal: No Solution
Exploring Operation: 67-66=1, Resulting Numbers: [1]
1,77 unequal: No Solution
Exploring Operation: 66*67=4422, Resulting Numbers: [4422]
4422,77 unequal: No Solution
Moving to Node #0,3,0
Current State: 77:[66, 101], Operations: ['21+45=66', '84+17=101']
Exploring Operation: 66*101=6666, Resulting Numbers: [6666]
6666,77 unequal: No Solution
Exploring Operation: 66+101=167, Resulting Numbers: [167]
167,77 unequal: No Solution
Exploring Operation: 101-66=35, Resulting Numbers: [35]
35,77 unequal: No Solution
Moving to Node #0,3,3
Current State: 77:[84, 49], Operations: ['21+45=66', '66-17=49']
Exploring Operation: 84-49=35, Resulting Numbers: [35]
35,77 unequal: No Solution
Exploring Operation: 84*49=4116, Resulting Numbers: [4116]
4116,77 unequal: No Solution
Exploring Operation: 84+49=133, Resulting Numbers: [133]
133,77 unequal: No Solution
No 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: 77:[84, 17, 24], Operations: ['45-21=24']
Exploring Operation: 84+17=101, Resulting Numbers: [24, 101]
Generated Node #0,1,0: 77:[24, 101] Operation: 84+17=101
Exploring Operation: 84-24=60, Resulting Numbers: [17, 60]
Generated Node #0,1,1: 77:[17, 60] Operation: 84-24=60
Exploring Operation: 84+24=108, Resulting Numbers: [17, 108]
Generated Node #0,1,2: 77:[17, 108] Operation: 84+24=108
Exploring Operation: 84-17=67, Resulting Numbers: [24, 67]
Generated Node #0,1,3: 77:[24, 67] Operation: 84-17=67
Exploring Operation: 24-17=7, Resulting Numbers: [84, 7]
Generated Node #0,1,4: 77:[84, 7] Operation: 24-17=7
Moving to Node #0,1,4
Current State: 77:[84, 7], Operations: ['45-21=24', '24-17=7']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[84, 17, 21, 45], Operations: []
Exploring Operation: 45-21=24, Resulting Numbers: [84, 17, 24]
Generated Node #0,1: 77:[84, 17, 24] Operation: 45-21=24
Moving to Node #0,1
Current State: 77:[84, 17, 24], Operations: ['45-21=24']
Exploring Operation: 24-17=7, Resulting Numbers: [84, 7]
Generated Node #0,1,4: 77:[84, 7] Operation: 24-17=7
Moving to Node #0,1,4
Current State: 77:[84, 7], Operations: ['45-21=24', '24-17=7']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_5 | mult_heuristic |
[
41,
29,
14,
11
] | 24 | [
"41+14=55",
"55/11=5",
"29-5=24"
] | Current State: 24:[41, 29, 14, 11], Operations: []
Exploring Operation: 41+14=55, Resulting Numbers: [29, 11, 55]
Generated Node #2: [29, 11, 55] from Operation: 41+14=55
Current State: 24:[29, 11, 55], Operations: ['41+14=55']
Exploring Operation: 55/11=5, Resulting Numbers: [29, 5]
Generated Node #3: [29, 5] from Operation: 55/11=5
Current State: 24:[29, 5], Operations: ['41+14=55', '55/11=5']
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[41, 29, 14, 11], Operations: []
Exploring Operation: 41-14=27, Resulting Numbers: [29, 11, 27]
Generated Node #0,0: 24:[29, 11, 27] Operation: 41-14=27
Exploring Operation: 41-11=30, Resulting Numbers: [29, 14, 30]
Generated Node #0,1: 24:[29, 14, 30] Operation: 41-11=30
Exploring Operation: 41-29=12, Resulting Numbers: [14, 11, 12]
Generated Node #0,2: 24:[14, 11, 12] Operation: 41-29=12
Start Sub Search at level 1: Moving to Node #0,2
Current State: 24:[14, 11, 12], Operations: ['41-29=12']
Exploring Operation: 14+11=25, Resulting Numbers: [12, 25]
Generated Node #0,2,0: 24:[12, 25] Operation: 14+11=25
Exploring Operation: 14-12=2, Resulting Numbers: [11, 2]
Generated Node #0,2,1: 24:[11, 2] Operation: 14-12=2
Exploring Operation: 14-11=3, Resulting Numbers: [12, 3]
Generated Node #0,2,2: 24:[12, 3] Operation: 14-11=3
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 24:[12, 3], Operations: ['41-29=12', '14-11=3']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,24 unequal: No Solution
No 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: 24:[12, 25], Operations: ['41-29=12', '14+11=25']
Exploring Operation: 12*25=300, Resulting Numbers: [300]
300,24 unequal: No Solution
Exploring Operation: 12+25=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,24 unequal: No Solution
No 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: 24:[11, 2], Operations: ['41-29=12', '14-12=2']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,24 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,24 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: 24:[29, 11, 27], Operations: ['41-14=27']
Exploring Operation: 27-11=16, Resulting Numbers: [29, 16]
Generated Node #0,0,0: 24:[29, 16] Operation: 27-11=16
Exploring Operation: 29-11=18, Resulting Numbers: [27, 18]
Generated Node #0,0,1: 24:[27, 18] Operation: 29-11=18
Exploring Operation: 29-27=2, Resulting Numbers: [11, 2]
Generated Node #0,0,2: 24:[11, 2] Operation: 29-27=2
Moving to Node #0,0,2
Current State: 24:[11, 2], Operations: ['41-14=27', '29-27=2']
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,24 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,24 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,24 unequal: No Solution
Moving to Node #0,0,0
Current State: 24:[29, 16], Operations: ['41-14=27', '27-11=16']
Exploring Operation: 29+16=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,24 unequal: No Solution
Exploring Operation: 29*16=464, Resulting Numbers: [464]
464,24 unequal: No Solution
Moving to Node #0,0,1
Current State: 24:[27, 18], Operations: ['41-14=27', '29-11=18']
Exploring Operation: 27*18=486, Resulting Numbers: [486]
486,24 unequal: No Solution
Exploring Operation: 27+18=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 27-18=9, Resulting Numbers: [9]
9,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[29, 14, 30], Operations: ['41-11=30']
Exploring Operation: 30-14=16, Resulting Numbers: [29, 16]
Generated Node #0,1,0: 24:[29, 16] Operation: 30-14=16
Exploring Operation: 29-14=15, Resulting Numbers: [30, 15]
Generated Node #0,1,1: 24:[30, 15] Operation: 29-14=15
Exploring Operation: 30-29=1, Resulting Numbers: [14, 1]
Generated Node #0,1,2: 24:[14, 1] Operation: 30-29=1
Moving to Node #0,1,2
Current State: 24:[14, 1], Operations: ['41-11=30', '30-29=1']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,24 unequal: No Solution
Exploring Operation: 14/1=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 14*1=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Moving to Node #0,1,0
Current State: 24:[29, 16], Operations: ['41-11=30', '30-14=16']
Exploring Operation: 29+16=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,24 unequal: No Solution
Exploring Operation: 29*16=464, Resulting Numbers: [464]
464,24 unequal: No Solution
Moving to Node #0,1,1
Current State: 24:[30, 15], Operations: ['41-11=30', '29-14=15']
Exploring Operation: 30+15=45, Resulting Numbers: [45]
45,24 unequal: No Solution
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
4,
36,
78,
2
] | 53 | [
"36+78=114",
"114/2=57",
"57-4=53"
] | Current State: 53:[4, 36, 78, 2], Operations: []
Exploring Operation: 36+78=114, Resulting Numbers: [4, 2, 114]
Generated Node #2: [4, 2, 114] from Operation: 36+78=114
Current State: 53:[4, 2, 114], Operations: ['36+78=114']
Exploring Operation: 114/2=57, Resulting Numbers: [4, 57]
Generated Node #3: [4, 57] from Operation: 114/2=57
Current State: 53:[4, 57], Operations: ['36+78=114', '114/2=57']
Exploring Operation: 57-4=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[4, 36, 78, 2], Operations: []
Exploring Operation: 4+36=40, Resulting Numbers: [78, 2, 40]
Generated Node #0,0: 53:[78, 2, 40] Operation: 4+36=40
Exploring Operation: 4*2=8, Resulting Numbers: [36, 78, 8]
Generated Node #0,1: 53:[36, 78, 8] Operation: 4*2=8
Exploring Operation: 78/2=39, Resulting Numbers: [4, 36, 39]
Generated Node #0,2: 53:[4, 36, 39] Operation: 78/2=39
Moving to Node #0,2
Current State: 53:[4, 36, 39], Operations: ['78/2=39']
Exploring Operation: 36-4=32, Resulting Numbers: [39, 32]
Generated Node #0,2,0: 53:[39, 32] Operation: 36-4=32
Exploring Operation: 4+39=43, Resulting Numbers: [36, 43]
Generated Node #0,2,1: 53:[36, 43] Operation: 4+39=43
Exploring Operation: 4+36=40, Resulting Numbers: [39, 40]
Generated Node #0,2,2: 53:[39, 40] Operation: 4+36=40
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 53:[36, 43], Operations: ['78/2=39', '4+39=43']
Exploring Operation: 43-36=7, Resulting Numbers: [7]
7,53 unequal: No Solution
Exploring Operation: 36*43=1548, Resulting Numbers: [1548]
1548,53 unequal: No Solution
Exploring Operation: 36+43=79, Resulting Numbers: [79]
79,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 53:[39, 40], Operations: ['78/2=39', '4+36=40']
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 39*40=1560, Resulting Numbers: [1560]
1560,53 unequal: No Solution
Exploring Operation: 39+40=79, Resulting Numbers: [79]
79,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 53:[39, 32], Operations: ['78/2=39', '36-4=32']
Exploring Operation: 39+32=71, Resulting Numbers: [71]
71,53 unequal: No Solution
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,53 unequal: No Solution
Exploring Operation: 39*32=1248, Resulting Numbers: [1248]
1248,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 53:[36, 78, 8], Operations: ['4*2=8']
Exploring Operation: 36+8=44, Resulting Numbers: [78, 44]
Generated Node #0,1,0: 53:[78, 44] Operation: 36+8=44
Exploring Operation: 36-8=28, Resulting Numbers: [78, 28]
Generated Node #0,1,1: 53:[78, 28] Operation: 36-8=28
Exploring Operation: 78-8=70, Resulting Numbers: [36, 70]
Generated Node #0,1,2: 53:[36, 70] Operation: 78-8=70
Moving to Node #0,0
Current State: 53:[78, 2, 40], Operations: ['4+36=40']
Exploring Operation: 78/2=39, Resulting Numbers: [40, 39]
Generated Node #0,0,0: 53:[40, 39] Operation: 78/2=39
Exploring Operation: 78-2=76, Resulting Numbers: [40, 76]
Generated Node #0,0,1: 53:[40, 76] Operation: 78-2=76
Exploring Operation: 2+40=42, Resulting Numbers: [78, 42]
Generated Node #0,0,2: 53:[78, 42] Operation: 2+40=42
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[40, 39], Operations: ['4+36=40', '78/2=39']
Exploring Operation: 40*39=1560, Resulting Numbers: [1560]
1560,53 unequal: No Solution
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,53 unequal: No Solution
Exploring Operation: 40+39=79, Resulting Numbers: [79]
79,53 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:[40, 76], Operations: ['4+36=40', '78-2=76']
Exploring Operation: 76-40=36, Resulting Numbers: [36]
36,53 unequal: No Solution
Exploring Operation: 40*76=3040, Resulting Numbers: [3040]
3040,53 unequal: No Solution
Exploring Operation: 40+76=116, Resulting Numbers: [116]
116,53 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:[78, 42], Operations: ['4+36=40', '2+40=42']
Exploring Operation: 78+42=120, Resulting Numbers: [120]
120,53 unequal: No Solution
Exploring Operation: 78*42=3276, Resulting Numbers: [3276]
3276,53 unequal: No Solution
Exploring Operation: 78-42=36, Resulting Numbers: [36]
36,53 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:[78, 44], Operations: ['4*2=8', '36+8=44']
Exploring Operation: 78-44=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Exploring Operation: 78*44=3432, Resulting Numbers: [3432]
3432,53 unequal: No Solution
Exploring Operation: 78+44=122, Resulting Numbers: [122]
122,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[36, 70], Operations: ['4*2=8', '78-8=70']
Exploring Operation: 70-36=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Exploring Operation: 36*70=2520, Resulting Numbers: [2520]
2520,53 unequal: No Solution
Exploring Operation: 36+70=106, Resulting Numbers: [106]
106,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[78, 28], Operations: ['4*2=8', '36-8=28']
Exploring Operation: 78+28=106, Resulting Numbers: [106]
106,53 unequal: No Solution
Exploring Operation: 78*28=2184, Resulting Numbers: [2184]
2184,53 unequal: No Solution
Exploring Operation: 78-28=50, Resulting Numbers: [50]
50,53 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
24,
7,
22,
14
] | 52 | [
"24+22=46",
"7*14=98",
"98-46=52"
] | Current State: 52:[24, 7, 22, 14], Operations: []
Exploring Operation: 24+22=46, Resulting Numbers: [7, 14, 46]
Generated Node #2: [7, 14, 46] from Operation: 24+22=46
Current State: 52:[7, 14, 46], Operations: ['24+22=46']
Exploring Operation: 7*14=98, Resulting Numbers: [46, 98]
Generated Node #3: [46, 98] from Operation: 7*14=98
Current State: 52:[46, 98], Operations: ['24+22=46', '7*14=98']
Exploring Operation: 98-46=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[24, 7, 22, 14], Operations: []
Exploring Operation: 22-7=15, Resulting Numbers: [24, 14, 15]
Generated Node #0,0: 52:[24, 14, 15] Operation: 22-7=15
Exploring Operation: 24-22=2, Resulting Numbers: [7, 14, 2]
Generated Node #0,1: 52:[7, 14, 2] Operation: 24-22=2
Moving to Node #0,1
Current State: 52:[7, 14, 2], Operations: ['24-22=2']
Exploring Operation: 7*2=14, Resulting Numbers: [14, 14]
Generated Node #0,1,0: 52:[14, 14] Operation: 7*2=14
Exploring Operation: 14/7=2, Resulting Numbers: [2, 2]
Generated Node #0,1,1: 52:[2, 2] Operation: 14/7=2
Moving to Node #0,0
Current State: 52:[24, 14, 15], Operations: ['22-7=15']
Exploring Operation: 24-14=10, Resulting Numbers: [15, 10]
Generated Node #0,0,0: 52:[15, 10] Operation: 24-14=10
Exploring Operation: 15-14=1, Resulting Numbers: [24, 1]
Generated Node #0,0,1: 52:[24, 1] Operation: 15-14=1
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 52:[24, 1], Operations: ['22-7=15', '15-14=1']
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,52 unequal: No Solution
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,52 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 #0,0,0
Current State: 52:[15, 10], Operations: ['22-7=15', '24-14=10']
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,52 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: 52:[2, 2], Operations: ['24-22=2', '14/7=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[14, 14], Operations: ['24-22=2', '7*2=14']
Exploring Operation: 14/14=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 14+14=28, Resulting Numbers: [28]
28,52 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
8,
7,
28,
56
] | 17 | [
"8+7=15",
"56/28=2",
"15+2=17"
] | Current State: 17:[8, 7, 28, 56], Operations: []
Exploring Operation: 8+7=15, Resulting Numbers: [28, 56, 15]
Generated Node #2: [28, 56, 15] from Operation: 8+7=15
Current State: 17:[28, 56, 15], Operations: ['8+7=15']
Exploring Operation: 56/28=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 56/28=2
Current State: 17:[15, 2], Operations: ['8+7=15', '56/28=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[8, 7, 28, 56], Operations: []
Exploring Operation: 56/7=8, Resulting Numbers: [8, 28, 8]
Generated Node #0,0: 17:[8, 28, 8] Operation: 56/7=8
Exploring Operation: 56/8=7, Resulting Numbers: [7, 28, 7]
Generated Node #0,1: 17:[7, 28, 7] Operation: 56/8=7
Exploring Operation: 56-28=28, Resulting Numbers: [8, 7, 28]
Generated Node #0,2: 17:[8, 7, 28] Operation: 56-28=28
Exploring Operation: 56/28=2, Resulting Numbers: [8, 7, 2]
Generated Node #0,3: 17:[8, 7, 2] Operation: 56/28=2
Moving to Node #0,0
Current State: 17:[8, 28, 8], Operations: ['56/7=8']
Exploring Operation: 28-8=20, Resulting Numbers: [8, 20]
Generated Node #0,0,0: 17:[8, 20] Operation: 28-8=20
Exploring Operation: 8+8=16, Resulting Numbers: [28, 16]
Generated Node #0,0,1: 17:[28, 16] Operation: 8+8=16
Exploring Operation: 28-8=20, Resulting Numbers: [8, 20]
Generated Node #0,0,2: 17:[8, 20] Operation: 28-8=20
Exploring Operation: 8/8=1, Resulting Numbers: [28, 1]
Generated Node #0,0,3: 17:[28, 1] Operation: 8/8=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 17:[8, 20], Operations: ['56/7=8', '28-8=20']
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,17 unequal: No Solution
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,17 unequal: No Solution
Exploring Operation: 8*20=160, Resulting Numbers: [160]
160,17 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 #0,0,1
Current State: 17:[28, 16], Operations: ['56/7=8', '8+8=16']
Exploring Operation: 28+16=44, Resulting Numbers: [44]
44,17 unequal: No Solution
Exploring Operation: 28-16=12, Resulting Numbers: [12]
12,17 unequal: No Solution
Exploring Operation: 28*16=448, Resulting Numbers: [448]
448,17 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 #0,0,2
Current State: 17:[8, 20], Operations: ['56/7=8', '28-8=20']
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,17 unequal: No Solution
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,17 unequal: No Solution
Exploring Operation: 8*20=160, Resulting Numbers: [160]
160,17 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 #0,0,3
Current State: 17:[28, 1], Operations: ['56/7=8', '8/8=1']
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,17 unequal: No Solution
Exploring Operation: 28*1=28, Resulting Numbers: [28]
28,17 unequal: No Solution
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,17 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: 17:[8, 7, 28], Operations: ['56-28=28']
Exploring Operation: 28-7=21, Resulting Numbers: [8, 21]
Generated Node #0,2,0: 17:[8, 21] Operation: 28-7=21
Exploring Operation: 8+7=15, Resulting Numbers: [28, 15]
Generated Node #0,2,1: 17:[28, 15] Operation: 8+7=15
Exploring Operation: 28-8=20, Resulting Numbers: [7, 20]
Generated Node #0,2,2: 17:[7, 20] Operation: 28-8=20
Exploring Operation: 28/7=4, Resulting Numbers: [8, 4]
Generated Node #0,2,3: 17:[8, 4] Operation: 28/7=4
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 17:[8, 21], Operations: ['56-28=28', '28-7=21']
Exploring Operation: 8*21=168, Resulting Numbers: [168]
168,17 unequal: No Solution
Exploring Operation: 8+21=29, Resulting Numbers: [29]
29,17 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,17 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 #0,2,1
Current State: 17:[28, 15], Operations: ['56-28=28', '8+7=15']
Exploring Operation: 28*15=420, Resulting Numbers: [420]
420,17 unequal: No Solution
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,17 unequal: No Solution
Exploring Operation: 28+15=43, Resulting Numbers: [43]
43,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 17:[7, 20], Operations: ['56-28=28', '28-8=20']
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,17 unequal: No Solution
Exploring Operation: 7*20=140, Resulting Numbers: [140]
140,17 unequal: No Solution
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 17:[8, 4], Operations: ['56-28=28', '28/7=4']
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,17 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,17 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,17 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 17:[7, 28, 7], Operations: ['56/8=7']
Exploring Operation: 28-7=21, Resulting Numbers: [7, 21]
Generated Node #0,1,0: 17:[7, 21] Operation: 28-7=21
Exploring Operation: 28/7=4, Resulting Numbers: [7, 4]
Generated Node #0,1,1: 17:[7, 4] Operation: 28/7=4
Exploring Operation: 7+7=14, Resulting Numbers: [28, 14]
Generated Node #0,1,2: 17:[28, 14] Operation: 7+7=14
Exploring Operation: 28-7=21, Resulting Numbers: [7, 21]
Generated Node #0,1,3: 17:[7, 21] Operation: 28-7=21
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 17:[7, 21], Operations: ['56/8=7', '28-7=21']
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,17 unequal: No Solution
Exploring Operation: 7*21=147, Resulting Numbers: [147]
147,17 unequal: No Solution
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,17 unequal: No Solution
Exploring Operation: 7+21=28, Resulting Numbers: [28]
28,17 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 #0,1,2
Current State: 17:[28, 14], Operations: ['56/8=7', '7+7=14']
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,17 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,17 unequal: No Solution
Exploring Operation: 28*14=392, Resulting Numbers: [392]
392,17 unequal: No Solution
Exploring Operation: 28+14=42, Resulting Numbers: [42]
42,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 17:[7, 21], Operations: ['56/8=7', '28-7=21']
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,17 unequal: No Solution
Exploring Operation: 7+21=28, Resulting Numbers: [28]
28,17 unequal: No Solution
Exploring Operation: 7*21=147, Resulting Numbers: [147]
147,17 unequal: No Solution
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 17:[7, 4], Operations: ['56/8=7', '28/7=4']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,17 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,17 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,17 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: 17:[8, 7, 2], Operations: ['56/28=2']
Exploring Operation: 8+7=15, Resulting Numbers: [2, 15]
Generated Node #0,3,0: 17:[2, 15] Operation: 8+7=15
Exploring Operation: 8+2=10, Resulting Numbers: [7, 10]
Generated Node #0,3,1: 17:[7, 10] Operation: 8+2=10
Exploring Operation: 8*2=16, Resulting Numbers: [7, 16]
Generated Node #0,3,2: 17:[7, 16] Operation: 8*2=16
Exploring Operation: 7*2=14, Resulting Numbers: [8, 14]
Generated Node #0,3,3: 17:[8, 14] Operation: 7*2=14
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 17:[7, 16], Operations: ['56/28=2', '8*2=16']
Exploring Operation: 7*16=112, Resulting Numbers: [112]
112,17 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,17 unequal: No Solution
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,17 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 #0,3,3
Current State: 17:[8, 14], Operations: ['56/28=2', '7*2=14']
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,17 unequal: No Solution
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,17 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,17 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 #0,3,0
Current State: 17:[2, 15], Operations: ['56/28=2', '8+7=15']
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,17 unequal: No Solution
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[8, 7, 28, 56], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [8, 7, 2]
Generated Node #0,3: 17:[8, 7, 2] Operation: 56/28=2
Moving to Node #0,3
Current State: 17:[8, 7, 2], Operations: ['56/28=2']
Exploring Operation: 8+7=15, Resulting Numbers: [2, 15]
Generated Node #0,3,0: 17:[2, 15] Operation: 8+7=15
Moving to Node #0,3,0
Current State: 17:[2, 15], Operations: ['56/28=2', '8+7=15']
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.936632 | hs_4 | sum_heuristic |
[
25,
65,
45,
80
] | 47 | [
"65-25=40",
"80/40=2",
"45+2=47"
] | Current State: 47:[25, 65, 45, 80], Operations: []
Exploring Operation: 65-25=40, Resulting Numbers: [45, 80, 40]
Generated Node #2: [45, 80, 40] from Operation: 65-25=40
Current State: 47:[45, 80, 40], Operations: ['65-25=40']
Exploring Operation: 80/40=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 80/40=2
Current State: 47:[45, 2], Operations: ['65-25=40', '80/40=2']
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[25, 65, 45, 80], Operations: []
Exploring Operation: 80-25=55, Resulting Numbers: [65, 45, 55]
Generated Node #0,0: 47:[65, 45, 55] Operation: 80-25=55
Moving to Node #0,0
Current State: 47:[65, 45, 55], Operations: ['80-25=55']
Exploring Operation: 65-45=20, Resulting Numbers: [55, 20]
Generated Node #0,0,0: 47:[55, 20] Operation: 65-45=20
Moving to Node #0,0,0
Current State: 47:[55, 20], Operations: ['80-25=55', '65-45=20']
Exploring Operation: 55-20=35, Resulting Numbers: [35]
35,47 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
4,
46,
21,
89
] | 91 | [
"46-4=42",
"42/21=2",
"89+2=91"
] | Current State: 91:[4, 46, 21, 89], Operations: []
Exploring Operation: 46-4=42, Resulting Numbers: [21, 89, 42]
Generated Node #2: [21, 89, 42] from Operation: 46-4=42
Current State: 91:[21, 89, 42], Operations: ['46-4=42']
Exploring Operation: 42/21=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 42/21=2
Current State: 91:[89, 2], Operations: ['46-4=42', '42/21=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[4, 46, 21, 89], Operations: []
Exploring Operation: 46-21=25, Resulting Numbers: [4, 89, 25]
Generated Node #0,0: 91:[4, 89, 25] Operation: 46-21=25
Exploring Operation: 46-4=42, Resulting Numbers: [21, 89, 42]
Generated Node #0,1: 91:[21, 89, 42] Operation: 46-4=42
Exploring Operation: 46+21=67, Resulting Numbers: [4, 89, 67]
Generated Node #0,2: 91:[4, 89, 67] Operation: 46+21=67
Moving to Node #0,0
Current State: 91:[4, 89, 25], Operations: ['46-21=25']
Exploring Operation: 25-4=21, Resulting Numbers: [89, 21]
Generated Node #0,0,0: 91:[89, 21] Operation: 25-4=21
Exploring Operation: 4+89=93, Resulting Numbers: [25, 93]
Generated Node #0,0,1: 91:[25, 93] Operation: 4+89=93
Exploring Operation: 4*25=100, Resulting Numbers: [89, 100]
Generated Node #0,0,2: 91:[89, 100] Operation: 4*25=100
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[89, 21], Operations: ['46-21=25', '25-4=21']
Exploring Operation: 89+21=110, Resulting Numbers: [110]
110,91 unequal: No Solution
Exploring Operation: 89*21=1869, Resulting Numbers: [1869]
1869,91 unequal: No Solution
Exploring Operation: 89-21=68, Resulting Numbers: [68]
68,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 91:[89, 100], Operations: ['46-21=25', '4*25=100']
Exploring Operation: 100-89=11, Resulting Numbers: [11]
11,91 unequal: No Solution
Exploring Operation: 89*100=8900, Resulting Numbers: [8900]
8900,91 unequal: No Solution
Exploring Operation: 89+100=189, Resulting Numbers: [189]
189,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 91:[25, 93], Operations: ['46-21=25', '4+89=93']
Exploring Operation: 93-25=68, Resulting Numbers: [68]
68,91 unequal: No Solution
Exploring Operation: 25*93=2325, Resulting Numbers: [2325]
2325,91 unequal: No Solution
Exploring Operation: 25+93=118, Resulting Numbers: [118]
118,91 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: 91:[4, 89, 67], Operations: ['46+21=67']
Exploring Operation: 89-67=22, Resulting Numbers: [4, 22]
Generated Node #0,2,0: 91:[4, 22] Operation: 89-67=22
Exploring Operation: 4+67=71, Resulting Numbers: [89, 71]
Generated Node #0,2,1: 91:[89, 71] Operation: 4+67=71
Exploring Operation: 4+89=93, Resulting Numbers: [67, 93]
Generated Node #0,2,2: 91:[67, 93] Operation: 4+89=93
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 91:[4, 22], Operations: ['46+21=67', '89-67=22']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,91 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,91 unequal: No Solution
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 91:[89, 71], Operations: ['46+21=67', '4+67=71']
Exploring Operation: 89*71=6319, Resulting Numbers: [6319]
6319,91 unequal: No Solution
Exploring Operation: 89+71=160, Resulting Numbers: [160]
160,91 unequal: No Solution
Exploring Operation: 89-71=18, Resulting Numbers: [18]
18,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 91:[67, 93], Operations: ['46+21=67', '4+89=93']
Exploring Operation: 93-67=26, Resulting Numbers: [26]
26,91 unequal: No Solution
Exploring Operation: 67*93=6231, Resulting Numbers: [6231]
6231,91 unequal: No Solution
Exploring Operation: 67+93=160, Resulting Numbers: [160]
160,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 91:[21, 89, 42], Operations: ['46-4=42']
Exploring Operation: 42-21=21, Resulting Numbers: [89, 21]
Generated Node #0,1,0: 91:[89, 21] Operation: 42-21=21
Exploring Operation: 42/21=2, Resulting Numbers: [89, 2]
Generated Node #0,1,1: 91:[89, 2] Operation: 42/21=2
Exploring Operation: 21+42=63, Resulting Numbers: [89, 63]
Generated Node #0,1,2: 91:[89, 63] Operation: 21+42=63
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 91:[89, 2], Operations: ['46-4=42', '42/21=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,91 unequal: No Solution
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[4, 46, 21, 89], Operations: []
Exploring Operation: 46-4=42, Resulting Numbers: [21, 89, 42]
Generated Node #0,1: 91:[21, 89, 42] Operation: 46-4=42
Moving to Node #0,1
Current State: 91:[21, 89, 42], Operations: ['46-4=42']
Exploring Operation: 42/21=2, Resulting Numbers: [89, 2]
Generated Node #0,1,1: 91:[89, 2] Operation: 42/21=2
Moving to Node #0,1,1
Current State: 91:[89, 2], Operations: ['46-4=42', '42/21=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_3 | sum_heuristic |
[
2,
92,
87,
84
] | 47 | [
"84/2=42",
"92-87=5",
"42+5=47"
] | Current State: 47:[2, 92, 87, 84], Operations: []
Exploring Operation: 84/2=42, Resulting Numbers: [92, 87, 42]
Generated Node #2: [92, 87, 42] from Operation: 84/2=42
Current State: 47:[92, 87, 42], Operations: ['84/2=42']
Exploring Operation: 92-87=5, Resulting Numbers: [42, 5]
Generated Node #3: [42, 5] from Operation: 92-87=5
Current State: 47:[42, 5], Operations: ['84/2=42', '92-87=5']
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[2, 92, 87, 84], Operations: []
Exploring Operation: 84/2=42, Resulting Numbers: [92, 87, 42]
Generated Node #0,0: 47:[92, 87, 42] Operation: 84/2=42
Exploring Operation: 92/2=46, Resulting Numbers: [87, 84, 46]
Generated Node #0,1: 47:[87, 84, 46] Operation: 92/2=46
Exploring Operation: 87-2=85, Resulting Numbers: [92, 84, 85]
Generated Node #0,2: 47:[92, 84, 85] Operation: 87-2=85
Exploring Operation: 92-2=90, Resulting Numbers: [87, 84, 90]
Generated Node #0,3: 47:[87, 84, 90] Operation: 92-2=90
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[87, 84, 46], Operations: ['92/2=46']
Exploring Operation: 87-84=3, Resulting Numbers: [46, 3]
Generated Node #0,1,0: 47:[46, 3] Operation: 87-84=3
Exploring Operation: 84-46=38, Resulting Numbers: [87, 38]
Generated Node #0,1,1: 47:[87, 38] Operation: 84-46=38
Exploring Operation: 87+46=133, Resulting Numbers: [84, 133]
Generated Node #0,1,2: 47:[84, 133] Operation: 87+46=133
Exploring Operation: 87-46=41, Resulting Numbers: [84, 41]
Generated Node #0,1,3: 47:[84, 41] Operation: 87-46=41
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 47:[84, 41], Operations: ['92/2=46', '87-46=41']
Exploring Operation: 84-41=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 84+41=125, Resulting Numbers: [125]
125,47 unequal: No Solution
Exploring Operation: 84*41=3444, Resulting Numbers: [3444]
3444,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[46, 3], Operations: ['92/2=46', '87-84=3']
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,47 unequal: No Solution
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,47 unequal: No Solution
Exploring Operation: 46*3=138, Resulting Numbers: [138]
138,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 47:[87, 38], Operations: ['92/2=46', '84-46=38']
Exploring Operation: 87*38=3306, Resulting Numbers: [3306]
3306,47 unequal: No Solution
Exploring Operation: 87+38=125, Resulting Numbers: [125]
125,47 unequal: No Solution
Exploring Operation: 87-38=49, Resulting Numbers: [49]
49,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 47:[84, 133], Operations: ['92/2=46', '87+46=133']
Exploring Operation: 84+133=217, Resulting Numbers: [217]
217,47 unequal: No Solution
Exploring Operation: 133-84=49, Resulting Numbers: [49]
49,47 unequal: No Solution
Exploring Operation: 84*133=11172, Resulting Numbers: [11172]
11172,47 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:[92, 87, 42], Operations: ['84/2=42']
Exploring Operation: 92-87=5, Resulting Numbers: [42, 5]
Generated Node #0,0,0: 47:[42, 5] Operation: 92-87=5
Exploring Operation: 92-42=50, Resulting Numbers: [87, 50]
Generated Node #0,0,1: 47:[87, 50] Operation: 92-42=50
Exploring Operation: 87-42=45, Resulting Numbers: [92, 45]
Generated Node #0,0,2: 47:[92, 45] Operation: 87-42=45
Exploring Operation: 92+42=134, Resulting Numbers: [87, 134]
Generated Node #0,0,3: 47:[87, 134] Operation: 92+42=134
Moving to Node #0,0,1
Current State: 47:[87, 50], Operations: ['84/2=42', '92-42=50']
Exploring Operation: 87-50=37, Resulting Numbers: [37]
37,47 unequal: No Solution
Exploring Operation: 87+50=137, Resulting Numbers: [137]
137,47 unequal: No Solution
Exploring Operation: 87*50=4350, Resulting Numbers: [4350]
4350,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[92, 45], Operations: ['84/2=42', '87-42=45']
Exploring Operation: 92*45=4140, Resulting Numbers: [4140]
4140,47 unequal: No Solution
Exploring Operation: 92+45=137, Resulting Numbers: [137]
137,47 unequal: No Solution
Exploring Operation: 92-45=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[2, 92, 87, 84], Operations: []
Exploring Operation: 84/2=42, Resulting Numbers: [92, 87, 42]
Generated Node #0,0: 47:[92, 87, 42] Operation: 84/2=42
Moving to Node #0,0
Current State: 47:[92, 87, 42], Operations: ['84/2=42']
Exploring Operation: 87-42=45, Resulting Numbers: [92, 45]
Generated Node #0,0,2: 47:[92, 45] Operation: 87-42=45
Moving to Node #0,0,2
Current State: 47:[92, 45], Operations: ['84/2=42', '87-42=45']
Exploring Operation: 92-45=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486 | hs_4 | sum_heuristic |
[
3,
42,
9,
82
] | 77 | [
"3+42=45",
"45/9=5",
"82-5=77"
] | Current State: 77:[3, 42, 9, 82], Operations: []
Exploring Operation: 3+42=45, Resulting Numbers: [9, 82, 45]
Generated Node #2: [9, 82, 45] from Operation: 3+42=45
Current State: 77:[9, 82, 45], Operations: ['3+42=45']
Exploring Operation: 45/9=5, Resulting Numbers: [82, 5]
Generated Node #3: [82, 5] from Operation: 45/9=5
Current State: 77:[82, 5], Operations: ['3+42=45', '45/9=5']
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[3, 42, 9, 82], Operations: []
Exploring Operation: 42-9=33, Resulting Numbers: [3, 82, 33]
Generated Node #0,0: 77:[3, 82, 33] Operation: 42-9=33
Exploring Operation: 42-3=39, Resulting Numbers: [9, 82, 39]
Generated Node #0,1: 77:[9, 82, 39] Operation: 42-3=39
Exploring Operation: 42/3=14, Resulting Numbers: [9, 82, 14]
Generated Node #0,2: 77:[9, 82, 14] Operation: 42/3=14
Start Sub Search at level 1: Moving to Node #0,2
Current State: 77:[9, 82, 14], Operations: ['42/3=14']
Exploring Operation: 82-14=68, Resulting Numbers: [9, 68]
Generated Node #0,2,0: 77:[9, 68] Operation: 82-14=68
Exploring Operation: 14-9=5, Resulting Numbers: [82, 5]
Generated Node #0,2,1: 77:[82, 5] Operation: 14-9=5
Exploring Operation: 82-9=73, Resulting Numbers: [14, 73]
Generated Node #0,2,2: 77:[14, 73] Operation: 82-9=73
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 77:[82, 5], Operations: ['42/3=14', '14-9=5']
Exploring Operation: 82+5=87, Resulting Numbers: [87]
87,77 unequal: No Solution
Exploring Operation: 82*5=410, Resulting Numbers: [410]
410,77 unequal: No Solution
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[3, 42, 9, 82], Operations: []
Exploring Operation: 42/3=14, Resulting Numbers: [9, 82, 14]
Generated Node #0,2: 77:[9, 82, 14] Operation: 42/3=14
Moving to Node #0,2
Current State: 77:[9, 82, 14], Operations: ['42/3=14']
Exploring Operation: 14-9=5, Resulting Numbers: [82, 5]
Generated Node #0,2,1: 77:[82, 5] Operation: 14-9=5
Moving to Node #0,2,1
Current State: 77:[82, 5], Operations: ['42/3=14', '14-9=5']
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
62,
17,
44,
22
] | 21 | [
"62-17=45",
"44+22=66",
"66-45=21"
] | Current State: 21:[62, 17, 44, 22], Operations: []
Exploring Operation: 62-17=45, Resulting Numbers: [44, 22, 45]
Generated Node #2: [44, 22, 45] from Operation: 62-17=45
Current State: 21:[44, 22, 45], Operations: ['62-17=45']
Exploring Operation: 44+22=66, Resulting Numbers: [45, 66]
Generated Node #3: [45, 66] from Operation: 44+22=66
Current State: 21:[45, 66], Operations: ['62-17=45', '44+22=66']
Exploring Operation: 66-45=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[62, 17, 44, 22], Operations: []
Exploring Operation: 62-22=40, Resulting Numbers: [17, 44, 40]
Generated Node #0,0: 21:[17, 44, 40] Operation: 62-22=40
Exploring Operation: 62-44=18, Resulting Numbers: [17, 22, 18]
Generated Node #0,1: 21:[17, 22, 18] Operation: 62-44=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[17, 22, 18], Operations: ['62-44=18']
Exploring Operation: 18-17=1, Resulting Numbers: [22, 1]
Generated Node #0,1,0: 21:[22, 1] Operation: 18-17=1
Exploring Operation: 22-17=5, Resulting Numbers: [18, 5]
Generated Node #0,1,1: 21:[18, 5] Operation: 22-17=5
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 21:[22, 1], Operations: ['62-44=18', '18-17=1']
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[62, 17, 44, 22], Operations: []
Exploring Operation: 62-44=18, Resulting Numbers: [17, 22, 18]
Generated Node #0,1: 21:[17, 22, 18] Operation: 62-44=18
Moving to Node #0,1
Current State: 21:[17, 22, 18], Operations: ['62-44=18']
Exploring Operation: 18-17=1, Resulting Numbers: [22, 1]
Generated Node #0,1,0: 21:[22, 1] Operation: 18-17=1
Moving to Node #0,1,0
Current State: 21:[22, 1], Operations: ['62-44=18', '18-17=1']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
55,
50,
41,
10
] | 54 | [
"55+50=105",
"41+10=51",
"105-51=54"
] | Current State: 54:[55, 50, 41, 10], Operations: []
Exploring Operation: 55+50=105, Resulting Numbers: [41, 10, 105]
Generated Node #2: [41, 10, 105] from Operation: 55+50=105
Current State: 54:[41, 10, 105], Operations: ['55+50=105']
Exploring Operation: 41+10=51, Resulting Numbers: [105, 51]
Generated Node #3: [105, 51] from Operation: 41+10=51
Current State: 54:[105, 51], Operations: ['55+50=105', '41+10=51']
Exploring Operation: 105-51=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[55, 50, 41, 10], Operations: []
Exploring Operation: 55-41=14, Resulting Numbers: [50, 10, 14]
Generated Node #0,0: 54:[50, 10, 14] Operation: 55-41=14
Exploring Operation: 41+10=51, Resulting Numbers: [55, 50, 51]
Generated Node #0,1: 54:[55, 50, 51] Operation: 41+10=51
Exploring Operation: 50-41=9, Resulting Numbers: [55, 10, 9]
Generated Node #0,2: 54:[55, 10, 9] Operation: 50-41=9
Start Sub Search at level 1: Moving to Node #0,2
Current State: 54:[55, 10, 9], Operations: ['50-41=9']
Exploring Operation: 10+9=19, Resulting Numbers: [55, 19]
Generated Node #0,2,0: 54:[55, 19] Operation: 10+9=19
Exploring Operation: 10-9=1, Resulting Numbers: [55, 1]
Generated Node #0,2,1: 54:[55, 1] Operation: 10-9=1
Exploring Operation: 55-10=45, Resulting Numbers: [9, 45]
Generated Node #0,2,2: 54:[9, 45] Operation: 55-10=45
Moving to Node #0,2,0
Current State: 54:[55, 19], Operations: ['50-41=9', '10+9=19']
Exploring Operation: 55+19=74, Resulting Numbers: [74]
74,54 unequal: No Solution
Exploring Operation: 55*19=1045, Resulting Numbers: [1045]
1045,54 unequal: No Solution
Exploring Operation: 55-19=36, Resulting Numbers: [36]
36,54 unequal: No Solution
Moving to Node #0,2,1
Current State: 54:[55, 1], Operations: ['50-41=9', '10-9=1']
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[55, 50, 41, 10], Operations: []
Exploring Operation: 50-41=9, Resulting Numbers: [55, 10, 9]
Generated Node #0,2: 54:[55, 10, 9] Operation: 50-41=9
Moving to Node #0,2
Current State: 54:[55, 10, 9], Operations: ['50-41=9']
Exploring Operation: 10-9=1, Resulting Numbers: [55, 1]
Generated Node #0,2,1: 54:[55, 1] Operation: 10-9=1
Moving to Node #0,2,1
Current State: 54:[55, 1], Operations: ['50-41=9', '10-9=1']
Exploring Operation: 55-1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
7,
80,
88,
4
] | 74 | [
"7*88=616",
"616/4=154",
"154-80=74"
] | Current State: 74:[7, 80, 88, 4], Operations: []
Exploring Operation: 7*88=616, Resulting Numbers: [80, 4, 616]
Generated Node #2: [80, 4, 616] from Operation: 7*88=616
Current State: 74:[80, 4, 616], Operations: ['7*88=616']
Exploring Operation: 616/4=154, Resulting Numbers: [80, 154]
Generated Node #3: [80, 154] from Operation: 616/4=154
Current State: 74:[80, 154], Operations: ['7*88=616', '616/4=154']
Exploring Operation: 154-80=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[7, 80, 88, 4], Operations: []
Exploring Operation: 88-7=81, Resulting Numbers: [80, 4, 81]
Generated Node #0,0: 74:[80, 4, 81] Operation: 88-7=81
Exploring Operation: 88-80=8, Resulting Numbers: [7, 4, 8]
Generated Node #0,1: 74:[7, 4, 8] Operation: 88-80=8
Exploring Operation: 7-4=3, Resulting Numbers: [80, 88, 3]
Generated Node #0,2: 74:[80, 88, 3] Operation: 7-4=3
Exploring Operation: 80-7=73, Resulting Numbers: [88, 4, 73]
Generated Node #0,3: 74:[88, 4, 73] Operation: 80-7=73
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[7, 4, 8], Operations: ['88-80=8']
Exploring Operation: 7-4=3, Resulting Numbers: [8, 3]
Generated Node #0,1,0: 74:[8, 3] Operation: 7-4=3
Exploring Operation: 8-7=1, Resulting Numbers: [4, 1]
Generated Node #0,1,1: 74:[4, 1] Operation: 8-7=1
Exploring Operation: 8-4=4, Resulting Numbers: [7, 4]
Generated Node #0,1,2: 74:[7, 4] Operation: 8-4=4
Exploring Operation: 8/4=2, Resulting Numbers: [7, 2]
Generated Node #0,1,3: 74:[7, 2] Operation: 8/4=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 74:[4, 1], Operations: ['88-80=8', '8-7=1']
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,74 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,74 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,74 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 #0,1,3
Current State: 74:[7, 2], Operations: ['88-80=8', '8/4=2']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,74 unequal: No Solution
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,74 unequal: No Solution
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,74 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 #0,1,0
Current State: 74:[8, 3], Operations: ['88-80=8', '7-4=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,74 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,74 unequal: No Solution
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,74 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 #0,1,2
Current State: 74:[7, 4], Operations: ['88-80=8', '8-4=4']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,74 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,74 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,74 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 #0,0
Current State: 74:[80, 4, 81], Operations: ['88-7=81']
Exploring Operation: 81-80=1, Resulting Numbers: [4, 1]
Generated Node #0,0,0: 74:[4, 1] Operation: 81-80=1
Exploring Operation: 80-4=76, Resulting Numbers: [81, 76]
Generated Node #0,0,1: 74:[81, 76] Operation: 80-4=76
Exploring Operation: 80+4=84, Resulting Numbers: [81, 84]
Generated Node #0,0,2: 74:[81, 84] Operation: 80+4=84
Exploring Operation: 81-4=77, Resulting Numbers: [80, 77]
Generated Node #0,0,3: 74:[80, 77] Operation: 81-4=77
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[4, 1], Operations: ['88-7=81', '81-80=1']
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,74 unequal: No Solution
Exploring Operation: 4/1=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Exploring Operation: 4*1=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Exploring Operation: 4+1=5, Resulting Numbers: [5]
5,74 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 #0,0,1
Current State: 74:[81, 76], Operations: ['88-7=81', '80-4=76']
Exploring Operation: 81-76=5, Resulting Numbers: [5]
5,74 unequal: No Solution
Exploring Operation: 81*76=6156, Resulting Numbers: [6156]
6156,74 unequal: No Solution
Exploring Operation: 81+76=157, Resulting Numbers: [157]
157,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 74:[80, 77], Operations: ['88-7=81', '81-4=77']
Exploring Operation: 80+77=157, Resulting Numbers: [157]
157,74 unequal: No Solution
Exploring Operation: 80*77=6160, Resulting Numbers: [6160]
6160,74 unequal: No Solution
Exploring Operation: 80-77=3, Resulting Numbers: [3]
3,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 74:[81, 84], Operations: ['88-7=81', '80+4=84']
Exploring Operation: 81+84=165, Resulting Numbers: [165]
165,74 unequal: No Solution
Exploring Operation: 81*84=6804, Resulting Numbers: [6804]
6804,74 unequal: No Solution
Exploring Operation: 84-81=3, Resulting Numbers: [3]
3,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 74:[88, 4, 73], Operations: ['80-7=73']
Exploring Operation: 88-73=15, Resulting Numbers: [4, 15]
Generated Node #0,3,0: 74:[4, 15] Operation: 88-73=15
Exploring Operation: 4+73=77, Resulting Numbers: [88, 77]
Generated Node #0,3,1: 74:[88, 77] Operation: 4+73=77
Exploring Operation: 88/4=22, Resulting Numbers: [73, 22]
Generated Node #0,3,2: 74:[73, 22] Operation: 88/4=22
Exploring Operation: 88-4=84, Resulting Numbers: [73, 84]
Generated Node #0,3,3: 74:[73, 84] Operation: 88-4=84
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 74:[73, 84], Operations: ['80-7=73', '88-4=84']
Exploring Operation: 73+84=157, Resulting Numbers: [157]
157,74 unequal: No Solution
Exploring Operation: 73*84=6132, Resulting Numbers: [6132]
6132,74 unequal: No Solution
Exploring Operation: 84-73=11, Resulting Numbers: [11]
11,74 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 #0,3,0
Current State: 74:[4, 15], Operations: ['80-7=73', '88-73=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,74 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,74 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,74 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 #0,3,2
Current State: 74:[73, 22], Operations: ['80-7=73', '88/4=22']
Exploring Operation: 73+22=95, Resulting Numbers: [95]
95,74 unequal: No Solution
Exploring Operation: 73*22=1606, Resulting Numbers: [1606]
1606,74 unequal: No Solution
Exploring Operation: 73-22=51, Resulting Numbers: [51]
51,74 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 #0,3,1
Current State: 74:[88, 77], Operations: ['80-7=73', '4+73=77']
Exploring Operation: 88*77=6776, Resulting Numbers: [6776]
6776,74 unequal: No Solution
Exploring Operation: 88+77=165, Resulting Numbers: [165]
165,74 unequal: No Solution
Exploring Operation: 88-77=11, Resulting Numbers: [11]
11,74 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 #0,2
Current State: 74:[80, 88, 3], Operations: ['7-4=3']
Exploring Operation: 88-80=8, Resulting Numbers: [3, 8]
Generated Node #0,2,0: 74:[3, 8] Operation: 88-80=8
Exploring Operation: 80+3=83, Resulting Numbers: [88, 83]
Generated Node #0,2,1: 74:[88, 83] Operation: 80+3=83
Exploring Operation: 80-3=77, Resulting Numbers: [88, 77]
Generated Node #0,2,2: 74:[88, 77] Operation: 80-3=77
Exploring Operation: 88-3=85, Resulting Numbers: [80, 85]
Generated Node #0,2,3: 74:[80, 85] Operation: 88-3=85
Moving to Node #0,2,0
Current State: 74:[3, 8], Operations: ['7-4=3', '88-80=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,74 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,74 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,74 unequal: No Solution
Moving to Node #0,2,3
Current State: 74:[80, 85], Operations: ['7-4=3', '88-3=85']
Exploring Operation: 85-80=5, Resulting Numbers: [5]
5,74 unequal: No Solution
Exploring Operation: 80+85=165, Resulting Numbers: [165]
165,74 unequal: No Solution
Exploring Operation: 80*85=6800, Resulting Numbers: [6800]
6800,74 unequal: No Solution
Moving to Node #0,2,2
Current State: 74:[88, 77], Operations: ['7-4=3', '80-3=77']
Exploring Operation: 88-77=11, Resulting Numbers: [11]
11,74 unequal: No Solution
Exploring Operation: 88*77=6776, Resulting Numbers: [6776]
6776,74 unequal: No Solution
Exploring Operation: 88+77=165, Resulting Numbers: [165]
165,74 unequal: No Solution
Moving to Node #0,2,1
Current State: 74:[88, 83], Operations: ['7-4=3', '80+3=83']
Exploring Operation: 88*83=7304, Resulting Numbers: [7304]
7304,74 unequal: No Solution
Exploring Operation: 88+83=171, Resulting Numbers: [171]
171,74 unequal: No Solution
Exploring Operation: 88-83=5, Resulting Numbers: [5]
5,74 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 |
[
33,
96,
15,
93
] | 91 | [
"33+15=48",
"96/48=2",
"93-2=91"
] | Current State: 91:[33, 96, 15, 93], Operations: []
Exploring Operation: 33+15=48, Resulting Numbers: [96, 93, 48]
Generated Node #2: [96, 93, 48] from Operation: 33+15=48
Current State: 91:[96, 93, 48], Operations: ['33+15=48']
Exploring Operation: 96/48=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 96/48=2
Current State: 91:[93, 2], Operations: ['33+15=48', '96/48=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[33, 96, 15, 93], Operations: []
Exploring Operation: 96-93=3, Resulting Numbers: [33, 15, 3]
Generated Node #0,0: 91:[33, 15, 3] Operation: 96-93=3
Exploring Operation: 96-15=81, Resulting Numbers: [33, 93, 81]
Generated Node #0,1: 91:[33, 93, 81] Operation: 96-15=81
Exploring Operation: 33-15=18, Resulting Numbers: [96, 93, 18]
Generated Node #0,2: 91:[96, 93, 18] Operation: 33-15=18
Exploring Operation: 96-33=63, Resulting Numbers: [15, 93, 63]
Generated Node #0,3: 91:[15, 93, 63] Operation: 96-33=63
Exploring Operation: 93-33=60, Resulting Numbers: [96, 15, 60]
Generated Node #0,4: 91:[96, 15, 60] Operation: 93-33=60
Moving to Node #0,2
Current State: 91:[96, 93, 18], Operations: ['33-15=18']
Exploring Operation: 96-93=3, Resulting Numbers: [18, 3]
Generated Node #0,2,0: 91:[18, 3] Operation: 96-93=3
Exploring Operation: 93-18=75, Resulting Numbers: [96, 75]
Generated Node #0,2,1: 91:[96, 75] Operation: 93-18=75
Exploring Operation: 96-18=78, Resulting Numbers: [93, 78]
Generated Node #0,2,2: 91:[93, 78] Operation: 96-18=78
Exploring Operation: 93+18=111, Resulting Numbers: [96, 111]
Generated Node #0,2,3: 91:[96, 111] Operation: 93+18=111
Exploring Operation: 96+18=114, Resulting Numbers: [93, 114]
Generated Node #0,2,4: 91:[93, 114] Operation: 96+18=114
Moving to Node #0,0
Current State: 91:[33, 15, 3], Operations: ['96-93=3']
Exploring Operation: 33-15=18, Resulting Numbers: [3, 18]
Generated Node #0,0,0: 91:[3, 18] Operation: 33-15=18
Exploring Operation: 33-3=30, Resulting Numbers: [15, 30]
Generated Node #0,0,1: 91:[15, 30] Operation: 33-3=30
Exploring Operation: 33/3=11, Resulting Numbers: [15, 11]
Generated Node #0,0,2: 91:[15, 11] Operation: 33/3=11
Exploring Operation: 33*3=99, Resulting Numbers: [15, 99]
Generated Node #0,0,3: 91:[15, 99] Operation: 33*3=99
Exploring Operation: 15-3=12, Resulting Numbers: [33, 12]
Generated Node #0,0,4: 91:[33, 12] Operation: 15-3=12
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 91:[15, 11], Operations: ['96-93=3', '33/3=11']
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,91 unequal: No Solution
Exploring Operation: 15*11=165, Resulting Numbers: [165]
165,91 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[3, 18], Operations: ['96-93=3', '33-15=18']
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,91 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 91:[15, 99], Operations: ['96-93=3', '33*3=99']
Exploring Operation: 15+99=114, Resulting Numbers: [114]
114,91 unequal: No Solution
Exploring Operation: 99-15=84, Resulting Numbers: [84]
84,91 unequal: No Solution
Exploring Operation: 15*99=1485, Resulting Numbers: [1485]
1485,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 91:[15, 30], Operations: ['96-93=3', '33-3=30']
Exploring Operation: 15*30=450, Resulting Numbers: [450]
450,91 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,91 unequal: No Solution
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Exploring Operation: 15+30=45, Resulting Numbers: [45]
45,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 91:[33, 12], Operations: ['96-93=3', '15-3=12']
Exploring Operation: 33*12=396, Resulting Numbers: [396]
396,91 unequal: No Solution
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,91 unequal: No Solution
Exploring Operation: 33+12=45, Resulting Numbers: [45]
45,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 91:[33, 93, 81], Operations: ['96-15=81']
Exploring Operation: 33+93=126, Resulting Numbers: [81, 126]
Generated Node #0,1,0: 91:[81, 126] Operation: 33+93=126
Exploring Operation: 93-81=12, Resulting Numbers: [33, 12]
Generated Node #0,1,1: 91:[33, 12] Operation: 93-81=12
Exploring Operation: 93-33=60, Resulting Numbers: [81, 60]
Generated Node #0,1,2: 91:[81, 60] Operation: 93-33=60
Exploring Operation: 81-33=48, Resulting Numbers: [93, 48]
Generated Node #0,1,3: 91:[93, 48] Operation: 81-33=48
Exploring Operation: 33+81=114, Resulting Numbers: [93, 114]
Generated Node #0,1,4: 91:[93, 114] Operation: 33+81=114
Moving to Node #0,3
Current State: 91:[15, 93, 63], Operations: ['96-33=63']
Exploring Operation: 93-63=30, Resulting Numbers: [15, 30]
Generated Node #0,3,0: 91:[15, 30] Operation: 93-63=30
Exploring Operation: 15+63=78, Resulting Numbers: [93, 78]
Generated Node #0,3,1: 91:[93, 78] Operation: 15+63=78
Exploring Operation: 63-15=48, Resulting Numbers: [93, 48]
Generated Node #0,3,2: 91:[93, 48] Operation: 63-15=48
Exploring Operation: 93-15=78, Resulting Numbers: [63, 78]
Generated Node #0,3,3: 91:[63, 78] Operation: 93-15=78
Exploring Operation: 15+93=108, Resulting Numbers: [63, 108]
Generated Node #0,3,4: 91:[63, 108] Operation: 15+93=108
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 91:[93, 78], Operations: ['96-33=63', '15+63=78']
Exploring Operation: 93+78=171, Resulting Numbers: [171]
171,91 unequal: No Solution
Exploring Operation: 93*78=7254, Resulting Numbers: [7254]
7254,91 unequal: No Solution
Exploring Operation: 93-78=15, Resulting Numbers: [15]
15,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 91:[15, 30], Operations: ['96-33=63', '93-63=30']
Exploring Operation: 15+30=45, Resulting Numbers: [45]
45,91 unequal: No Solution
Exploring Operation: 15*30=450, Resulting Numbers: [450]
450,91 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,91 unequal: No Solution
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 91:[93, 48], Operations: ['96-33=63', '63-15=48']
Exploring Operation: 93*48=4464, Resulting Numbers: [4464]
4464,91 unequal: No Solution
Exploring Operation: 93+48=141, Resulting Numbers: [141]
141,91 unequal: No Solution
Exploring Operation: 93-48=45, Resulting Numbers: [45]
45,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 91:[63, 78], Operations: ['96-33=63', '93-15=78']
Exploring Operation: 63*78=4914, Resulting Numbers: [4914]
4914,91 unequal: No Solution
Exploring Operation: 63+78=141, Resulting Numbers: [141]
141,91 unequal: No Solution
Exploring Operation: 78-63=15, Resulting Numbers: [15]
15,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 91:[63, 108], Operations: ['96-33=63', '15+93=108']
Exploring Operation: 63*108=6804, Resulting Numbers: [6804]
6804,91 unequal: No Solution
Exploring Operation: 63+108=171, Resulting Numbers: [171]
171,91 unequal: No Solution
Exploring Operation: 108-63=45, Resulting Numbers: [45]
45,91 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: 91:[96, 15, 60], Operations: ['93-33=60']
Exploring Operation: 15+60=75, Resulting Numbers: [96, 75]
Generated Node #0,4,0: 91:[96, 75] Operation: 15+60=75
Exploring Operation: 60/15=4, Resulting Numbers: [96, 4]
Generated Node #0,4,1: 91:[96, 4] Operation: 60/15=4
Exploring Operation: 60-15=45, Resulting Numbers: [96, 45]
Generated Node #0,4,2: 91:[96, 45] Operation: 60-15=45
Exploring Operation: 96-15=81, Resulting Numbers: [60, 81]
Generated Node #0,4,3: 91:[60, 81] Operation: 96-15=81
Exploring Operation: 96-60=36, Resulting Numbers: [15, 36]
Generated Node #0,4,4: 91:[15, 36] Operation: 96-60=36
Moving to Node #0,4,1
Current State: 91:[96, 4], Operations: ['93-33=60', '60/15=4']
Exploring Operation: 96+4=100, Resulting Numbers: [100]
100,91 unequal: No Solution
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,91 unequal: No Solution
Exploring Operation: 96-4=92, Resulting Numbers: [92]
92,91 unequal: No Solution
Exploring Operation: 96*4=384, Resulting Numbers: [384]
384,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[18, 3], Operations: ['33-15=18', '96-93=3']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,91 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,91 unequal: No Solution
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[93, 78], Operations: ['33-15=18', '96-18=78']
Exploring Operation: 93+78=171, Resulting Numbers: [171]
171,91 unequal: No Solution
Exploring Operation: 93-78=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Exploring Operation: 93*78=7254, Resulting Numbers: [7254]
7254,91 unequal: No Solution
Moving to Node #0,2,1
Current State: 91:[96, 75], Operations: ['33-15=18', '93-18=75']
Exploring Operation: 96*75=7200, Resulting Numbers: [7200]
7200,91 unequal: No Solution
Exploring Operation: 96+75=171, Resulting Numbers: [171]
171,91 unequal: No Solution
Exploring Operation: 96-75=21, Resulting Numbers: [21]
21,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[33, 12], Operations: ['96-15=81', '93-81=12']
Exploring Operation: 33*12=396, Resulting Numbers: [396]
396,91 unequal: No Solution
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,91 unequal: No Solution
Exploring Operation: 33+12=45, Resulting Numbers: [45]
45,91 unequal: No Solution
Moving to Node #0,4,0
Current State: 91:[96, 75], Operations: ['93-33=60', '15+60=75']
Exploring Operation: 96-75=21, Resulting Numbers: [21]
21,91 unequal: No Solution
Exploring Operation: 96+75=171, Resulting Numbers: [171]
171,91 unequal: No Solution
Exploring Operation: 96*75=7200, Resulting Numbers: [7200]
7200,91 unequal: No Solution
Moving to Node #0,1,4
Current State: 91:[93, 114], Operations: ['96-15=81', '33+81=114']
Exploring Operation: 93+114=207, Resulting Numbers: [207]
207,91 unequal: No Solution
Exploring Operation: 93*114=10602, Resulting Numbers: [10602]
10602,91 unequal: No Solution
Exploring Operation: 114-93=21, Resulting Numbers: [21]
21,91 unequal: No Solution
Moving to Node #0,4,4
Current State: 91:[15, 36], Operations: ['93-33=60', '96-60=36']
Exploring Operation: 15+36=51, Resulting Numbers: [51]
51,91 unequal: No Solution
Exploring Operation: 15*36=540, Resulting Numbers: [540]
540,91 unequal: No Solution
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,91 unequal: No Solution
Moving to Node #0,2,4
Current State: 91:[93, 114], Operations: ['33-15=18', '96+18=114']
Exploring Operation: 93*114=10602, Resulting Numbers: [10602]
10602,91 unequal: No Solution
Exploring Operation: 114-93=21, Resulting Numbers: [21]
21,91 unequal: No Solution
Exploring Operation: 93+114=207, Resulting Numbers: [207]
207,91 unequal: No Solution
Moving to Node #0,2,3
Current State: 91:[96, 111], Operations: ['33-15=18', '93+18=111']
Exploring Operation: 96+111=207, Resulting Numbers: [207]
207,91 unequal: No Solution
Exploring Operation: 111-96=15, Resulting Numbers: [15]
15,91 unequal: No Solution
Exploring Operation: 96*111=10656, Resulting Numbers: [10656]
10656,91 unequal: No Solution
Moving to Node #0,4,2
Current State: 91:[96, 45], Operations: ['93-33=60', '60-15=45']
Exploring Operation: 96-45=51, Resulting Numbers: [51]
51,91 unequal: No Solution
Exploring Operation: 96*45=4320, Resulting Numbers: [4320]
4320,91 unequal: No Solution
Exploring Operation: 96+45=141, Resulting Numbers: [141]
141,91 unequal: No Solution
Moving to Node #0,1,3
Current State: 91:[93, 48], Operations: ['96-15=81', '81-33=48']
Exploring Operation: 93*48=4464, Resulting Numbers: [4464]
4464,91 unequal: No Solution
Exploring Operation: 93+48=141, Resulting Numbers: [141]
141,91 unequal: No Solution
Exploring Operation: 93-48=45, Resulting Numbers: [45]
45,91 unequal: No Solution
Moving to Node #0,4,3
Current State: 91:[60, 81], Operations: ['93-33=60', '96-15=81']
Exploring Operation: 81-60=21, Resulting Numbers: [21]
21,91 unequal: No Solution
Exploring Operation: 60+81=141, Resulting Numbers: [141]
141,91 unequal: No Solution
Exploring Operation: 60*81=4860, Resulting Numbers: [4860]
4860,91 unequal: No Solution
Moving to Node #0,1,2
Current State: 91:[81, 60], Operations: ['96-15=81', '93-33=60']
Exploring Operation: 81-60=21, Resulting Numbers: [21]
21,91 unequal: No Solution
Exploring Operation: 81+60=141, Resulting Numbers: [141]
141,91 unequal: No Solution
Exploring Operation: 81*60=4860, Resulting Numbers: [4860]
4860,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[81, 126], Operations: ['96-15=81', '33+93=126']
Exploring Operation: 81*126=10206, Resulting Numbers: [10206]
10206,91 unequal: No Solution
Exploring Operation: 81+126=207, Resulting Numbers: [207]
207,91 unequal: No Solution
Exploring Operation: 126-81=45, Resulting Numbers: [45]
45,91 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
37,
4,
99,
16
] | 82 | [
"37-4=33",
"99+16=115",
"115-33=82"
] | Current State: 82:[37, 4, 99, 16], Operations: []
Exploring Operation: 37-4=33, Resulting Numbers: [99, 16, 33]
Generated Node #2: [99, 16, 33] from Operation: 37-4=33
Current State: 82:[99, 16, 33], Operations: ['37-4=33']
Exploring Operation: 99+16=115, Resulting Numbers: [33, 115]
Generated Node #3: [33, 115] from Operation: 99+16=115
Current State: 82:[33, 115], Operations: ['37-4=33', '99+16=115']
Exploring Operation: 115-33=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[37, 4, 99, 16], Operations: []
Exploring Operation: 37+4=41, Resulting Numbers: [99, 16, 41]
Generated Node #0,0: 82:[99, 16, 41] Operation: 37+4=41
Exploring Operation: 16/4=4, Resulting Numbers: [37, 99, 4]
Generated Node #0,1: 82:[37, 99, 4] Operation: 16/4=4
Exploring Operation: 99-16=83, Resulting Numbers: [37, 4, 83]
Generated Node #0,2: 82:[37, 4, 83] Operation: 99-16=83
Exploring Operation: 37+16=53, Resulting Numbers: [4, 99, 53]
Generated Node #0,3: 82:[4, 99, 53] Operation: 37+16=53
Exploring Operation: 99-4=95, Resulting Numbers: [37, 16, 95]
Generated Node #0,4: 82:[37, 16, 95] Operation: 99-4=95
Moving to Node #0,2
Current State: 82:[37, 4, 83], Operations: ['99-16=83']
Exploring Operation: 83-37=46, Resulting Numbers: [4, 46]
Generated Node #0,2,0: 82:[4, 46] Operation: 83-37=46
Exploring Operation: 4+83=87, Resulting Numbers: [37, 87]
Generated Node #0,2,1: 82:[37, 87] Operation: 4+83=87
Exploring Operation: 83-4=79, Resulting Numbers: [37, 79]
Generated Node #0,2,2: 82:[37, 79] Operation: 83-4=79
Exploring Operation: 37-4=33, Resulting Numbers: [83, 33]
Generated Node #0,2,3: 82:[83, 33] Operation: 37-4=33
Exploring Operation: 37+4=41, Resulting Numbers: [83, 41]
Generated Node #0,2,4: 82:[83, 41] Operation: 37+4=41
Moving to Node #0,1
Current State: 82:[37, 99, 4], Operations: ['16/4=4']
Exploring Operation: 99-4=95, Resulting Numbers: [37, 95]
Generated Node #0,1,0: 82:[37, 95] Operation: 99-4=95
Exploring Operation: 99-37=62, Resulting Numbers: [4, 62]
Generated Node #0,1,1: 82:[4, 62] Operation: 99-37=62
Exploring Operation: 37-4=33, Resulting Numbers: [99, 33]
Generated Node #0,1,2: 82:[99, 33] Operation: 37-4=33
Exploring Operation: 99+4=103, Resulting Numbers: [37, 103]
Generated Node #0,1,3: 82:[37, 103] Operation: 99+4=103
Exploring Operation: 37+4=41, Resulting Numbers: [99, 41]
Generated Node #0,1,4: 82:[99, 41] Operation: 37+4=41
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 82:[37, 95], Operations: ['16/4=4', '99-4=95']
Exploring Operation: 37+95=132, Resulting Numbers: [132]
132,82 unequal: No Solution
Exploring Operation: 37*95=3515, Resulting Numbers: [3515]
3515,82 unequal: No Solution
Exploring Operation: 95-37=58, Resulting Numbers: [58]
58,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 82:[99, 41], Operations: ['16/4=4', '37+4=41']
Exploring Operation: 99-41=58, Resulting Numbers: [58]
58,82 unequal: No Solution
Exploring Operation: 99+41=140, Resulting Numbers: [140]
140,82 unequal: No Solution
Exploring Operation: 99*41=4059, Resulting Numbers: [4059]
4059,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 82:[4, 62], Operations: ['16/4=4', '99-37=62']
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,82 unequal: No Solution
Exploring Operation: 4*62=248, Resulting Numbers: [248]
248,82 unequal: No Solution
Exploring Operation: 4+62=66, Resulting Numbers: [66]
66,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 82:[99, 33], Operations: ['16/4=4', '37-4=33']
Exploring Operation: 99+33=132, Resulting Numbers: [132]
132,82 unequal: No Solution
Exploring Operation: 99/33=3, Resulting Numbers: [3]
3,82 unequal: No Solution
Exploring Operation: 99*33=3267, Resulting Numbers: [3267]
3267,82 unequal: No Solution
Exploring Operation: 99-33=66, Resulting Numbers: [66]
66,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 82:[37, 103], Operations: ['16/4=4', '99+4=103']
Exploring Operation: 37*103=3811, Resulting Numbers: [3811]
3811,82 unequal: No Solution
Exploring Operation: 37+103=140, Resulting Numbers: [140]
140,82 unequal: No Solution
Exploring Operation: 103-37=66, Resulting Numbers: [66]
66,82 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: 82:[99, 16, 41], Operations: ['37+4=41']
Exploring Operation: 41-16=25, Resulting Numbers: [99, 25]
Generated Node #0,0,0: 82:[99, 25] Operation: 41-16=25
Exploring Operation: 99-16=83, Resulting Numbers: [41, 83]
Generated Node #0,0,1: 82:[41, 83] Operation: 99-16=83
Exploring Operation: 99+16=115, Resulting Numbers: [41, 115]
Generated Node #0,0,2: 82:[41, 115] Operation: 99+16=115
Exploring Operation: 99-41=58, Resulting Numbers: [16, 58]
Generated Node #0,0,3: 82:[16, 58] Operation: 99-41=58
Exploring Operation: 16+41=57, Resulting Numbers: [99, 57]
Generated Node #0,0,4: 82:[99, 57] Operation: 16+41=57
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 82:[41, 83], Operations: ['37+4=41', '99-16=83']
Exploring Operation: 83-41=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 41*83=3403, Resulting Numbers: [3403]
3403,82 unequal: No Solution
Exploring Operation: 41+83=124, Resulting Numbers: [124]
124,82 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 #0,0,3
Current State: 82:[16, 58], Operations: ['37+4=41', '99-41=58']
Exploring Operation: 16*58=928, Resulting Numbers: [928]
928,82 unequal: No Solution
Exploring Operation: 16+58=74, Resulting Numbers: [74]
74,82 unequal: No Solution
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,82 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 #0,0,0
Current State: 82:[99, 25], Operations: ['37+4=41', '41-16=25']
Exploring Operation: 99-25=74, Resulting Numbers: [74]
74,82 unequal: No Solution
Exploring Operation: 99*25=2475, Resulting Numbers: [2475]
2475,82 unequal: No Solution
Exploring Operation: 99+25=124, Resulting Numbers: [124]
124,82 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 #0,0,2
Current State: 82:[41, 115], Operations: ['37+4=41', '99+16=115']
Exploring Operation: 41*115=4715, Resulting Numbers: [4715]
4715,82 unequal: No Solution
Exploring Operation: 115-41=74, Resulting Numbers: [74]
74,82 unequal: No Solution
Exploring Operation: 41+115=156, Resulting Numbers: [156]
156,82 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 #0,0,4
Current State: 82:[99, 57], Operations: ['37+4=41', '16+41=57']
Exploring Operation: 99*57=5643, Resulting Numbers: [5643]
5643,82 unequal: No Solution
Exploring Operation: 99+57=156, Resulting Numbers: [156]
156,82 unequal: No Solution
Exploring Operation: 99-57=42, Resulting Numbers: [42]
42,82 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: 82:[4, 99, 53], Operations: ['37+16=53']
Exploring Operation: 4+53=57, Resulting Numbers: [99, 57]
Generated Node #0,3,0: 82:[99, 57] Operation: 4+53=57
Exploring Operation: 53-4=49, Resulting Numbers: [99, 49]
Generated Node #0,3,1: 82:[99, 49] Operation: 53-4=49
Exploring Operation: 99-53=46, Resulting Numbers: [4, 46]
Generated Node #0,3,2: 82:[4, 46] Operation: 99-53=46
Exploring Operation: 4+99=103, Resulting Numbers: [53, 103]
Generated Node #0,3,3: 82:[53, 103] Operation: 4+99=103
Exploring Operation: 99-4=95, Resulting Numbers: [53, 95]
Generated Node #0,3,4: 82:[53, 95] Operation: 99-4=95
Moving to Node #0,4
Current State: 82:[37, 16, 95], Operations: ['99-4=95']
Exploring Operation: 37+16=53, Resulting Numbers: [95, 53]
Generated Node #0,4,0: 82:[95, 53] Operation: 37+16=53
Exploring Operation: 16+95=111, Resulting Numbers: [37, 111]
Generated Node #0,4,1: 82:[37, 111] Operation: 16+95=111
Exploring Operation: 95-37=58, Resulting Numbers: [16, 58]
Generated Node #0,4,2: 82:[16, 58] Operation: 95-37=58
Exploring Operation: 37-16=21, Resulting Numbers: [95, 21]
Generated Node #0,4,3: 82:[95, 21] Operation: 37-16=21
Exploring Operation: 95-16=79, Resulting Numbers: [37, 79]
Generated Node #0,4,4: 82:[37, 79] Operation: 95-16=79
Moving to Node #0,2,4
Current State: 82:[83, 41], Operations: ['99-16=83', '37+4=41']
Exploring Operation: 83-41=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 83*41=3403, Resulting Numbers: [3403]
3403,82 unequal: No Solution
Exploring Operation: 83+41=124, Resulting Numbers: [124]
124,82 unequal: No Solution
Moving to Node #0,2,2
Current State: 82:[37, 79], Operations: ['99-16=83', '83-4=79']
Exploring Operation: 37*79=2923, Resulting Numbers: [2923]
2923,82 unequal: No Solution
Exploring Operation: 79-37=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 37+79=116, Resulting Numbers: [116]
116,82 unequal: No Solution
Moving to Node #0,3,2
Current State: 82:[4, 46], Operations: ['37+16=53', '99-53=46']
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,82 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Moving to Node #0,2,0
Current State: 82:[4, 46], Operations: ['99-16=83', '83-37=46']
Exploring Operation: 4+46=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 4*46=184, Resulting Numbers: [184]
184,82 unequal: No Solution
Moving to Node #0,4,4
Current State: 82:[37, 79], Operations: ['99-4=95', '95-16=79']
Exploring Operation: 37+79=116, Resulting Numbers: [116]
116,82 unequal: No Solution
Exploring Operation: 37*79=2923, Resulting Numbers: [2923]
2923,82 unequal: No Solution
Exploring Operation: 79-37=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Moving to Node #0,2,3
Current State: 82:[83, 33], Operations: ['99-16=83', '37-4=33']
Exploring Operation: 83-33=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Exploring Operation: 83+33=116, Resulting Numbers: [116]
116,82 unequal: No Solution
Exploring Operation: 83*33=2739, Resulting Numbers: [2739]
2739,82 unequal: No Solution
Moving to Node #0,2,1
Current State: 82:[37, 87], Operations: ['99-16=83', '4+83=87']
Exploring Operation: 37*87=3219, Resulting Numbers: [3219]
3219,82 unequal: No Solution
Exploring Operation: 37+87=124, Resulting Numbers: [124]
124,82 unequal: No Solution
Exploring Operation: 87-37=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Moving to Node #0,3,1
Current State: 82:[99, 49], Operations: ['37+16=53', '53-4=49']
Exploring Operation: 99-49=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Exploring Operation: 99*49=4851, Resulting Numbers: [4851]
4851,82 unequal: No Solution
Exploring Operation: 99+49=148, Resulting Numbers: [148]
148,82 unequal: No Solution
Moving to Node #0,4,0
Current State: 82:[95, 53], Operations: ['99-4=95', '37+16=53']
Exploring Operation: 95*53=5035, Resulting Numbers: [5035]
5035,82 unequal: No Solution
Exploring Operation: 95-53=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 95+53=148, Resulting Numbers: [148]
148,82 unequal: No Solution
Moving to Node #0,3,4
Current State: 82:[53, 95], Operations: ['37+16=53', '99-4=95']
Exploring Operation: 53+95=148, Resulting Numbers: [148]
148,82 unequal: No Solution
Exploring Operation: 53*95=5035, Resulting Numbers: [5035]
5035,82 unequal: No Solution
Exploring Operation: 95-53=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Moving to Node #0,4,2
Current State: 82:[16, 58], Operations: ['99-4=95', '95-37=58']
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 16+58=74, Resulting Numbers: [74]
74,82 unequal: No Solution
Exploring Operation: 16*58=928, Resulting Numbers: [928]
928,82 unequal: No Solution
Moving to Node #0,4,3
Current State: 82:[95, 21], Operations: ['99-4=95', '37-16=21']
Exploring Operation: 95*21=1995, Resulting Numbers: [1995]
1995,82 unequal: No Solution
Exploring Operation: 95-21=74, Resulting Numbers: [74]
74,82 unequal: No Solution
Exploring Operation: 95+21=116, Resulting Numbers: [116]
116,82 unequal: No Solution
Moving to Node #0,3,3
Current State: 82:[53, 103], Operations: ['37+16=53', '4+99=103']
Exploring Operation: 53*103=5459, Resulting Numbers: [5459]
5459,82 unequal: No Solution
Exploring Operation: 103-53=50, Resulting Numbers: [50]
50,82 unequal: No Solution
Exploring Operation: 53+103=156, Resulting Numbers: [156]
156,82 unequal: No Solution
Moving to Node #0,4,1
Current State: 82:[37, 111], Operations: ['99-4=95', '16+95=111']
Exploring Operation: 111-37=74, Resulting Numbers: [74]
74,82 unequal: No Solution
Exploring Operation: 37+111=148, Resulting Numbers: [148]
148,82 unequal: No Solution
Exploring Operation: 111/37=3, Resulting Numbers: [3]
3,82 unequal: No Solution
Exploring Operation: 37*111=4107, Resulting Numbers: [4107]
4107,82 unequal: No Solution
Moving to Node #0,3,0
Current State: 82:[99, 57], Operations: ['37+16=53', '4+53=57']
Exploring Operation: 99*57=5643, Resulting Numbers: [5643]
5643,82 unequal: No Solution
Exploring Operation: 99-57=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 99+57=156, Resulting Numbers: [156]
156,82 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
7,
7,
73,
23
] | 50 | [
"7-7=0",
"73-23=50",
"0+50=50"
] | Current State: 50:[7, 7, 73, 23], Operations: []
Exploring Operation: 7-7=0, Resulting Numbers: [73, 23, 0]
Generated Node #2: [73, 23, 0] from Operation: 7-7=0
Current State: 50:[73, 23, 0], Operations: ['7-7=0']
Exploring Operation: 73-23=50, Resulting Numbers: [0, 50]
Generated Node #3: [0, 50] from Operation: 73-23=50
Current State: 50:[0, 50], Operations: ['7-7=0', '73-23=50']
Exploring Operation: 0+50=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[7, 7, 73, 23], Operations: []
Exploring Operation: 73-7=66, Resulting Numbers: [7, 23, 66]
Generated Node #0,0: 50:[7, 23, 66] Operation: 73-7=66
Exploring Operation: 73-23=50, Resulting Numbers: [7, 7, 50]
Generated Node #0,1: 50:[7, 7, 50] Operation: 73-23=50
Exploring Operation: 73-7=66, Resulting Numbers: [7, 23, 66]
Generated Node #0,2: 50:[7, 23, 66] Operation: 73-7=66
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[7, 7, 50], Operations: ['73-23=50']
Exploring Operation: 7-7=0, Resulting Numbers: [50, 0]
Generated Node #0,1,0: 50:[50, 0] Operation: 7-7=0
Exploring Operation: 7*7=49, Resulting Numbers: [50, 49]
Generated Node #0,1,1: 50:[50, 49] Operation: 7*7=49
Exploring Operation: 7/7=1, Resulting Numbers: [50, 1]
Generated Node #0,1,2: 50:[50, 1] Operation: 7/7=1
Moving to Node #0,1,1
Current State: 50:[50, 49], Operations: ['73-23=50', '7*7=49']
Exploring Operation: 50+49=99, Resulting Numbers: [99]
99,50 unequal: No Solution
Exploring Operation: 50-49=1, Resulting Numbers: [1]
1,50 unequal: No Solution
Exploring Operation: 50*49=2450, Resulting Numbers: [2450]
2450,50 unequal: No Solution
Moving to Node #0,1,2
Current State: 50:[50, 1], Operations: ['73-23=50', '7/7=1']
Exploring Operation: 50/1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[7, 7, 73, 23], Operations: []
Exploring Operation: 73-23=50, Resulting Numbers: [7, 7, 50]
Generated Node #0,1: 50:[7, 7, 50] Operation: 73-23=50
Moving to Node #0,1
Current State: 50:[7, 7, 50], Operations: ['73-23=50']
Exploring Operation: 7/7=1, Resulting Numbers: [50, 1]
Generated Node #0,1,2: 50:[50, 1] Operation: 7/7=1
Moving to Node #0,1,2
Current State: 50:[50, 1], Operations: ['73-23=50', '7/7=1']
Exploring Operation: 50/1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
15,
69,
68,
88
] | 34 | [
"69-15=54",
"88-68=20",
"54-20=34"
] | Current State: 34:[15, 69, 68, 88], Operations: []
Exploring Operation: 69-15=54, Resulting Numbers: [68, 88, 54]
Generated Node #2: [68, 88, 54] from Operation: 69-15=54
Current State: 34:[68, 88, 54], Operations: ['69-15=54']
Exploring Operation: 88-68=20, Resulting Numbers: [54, 20]
Generated Node #3: [54, 20] from Operation: 88-68=20
Current State: 34:[54, 20], Operations: ['69-15=54', '88-68=20']
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[15, 69, 68, 88], Operations: []
Exploring Operation: 88-69=19, Resulting Numbers: [15, 68, 19]
Generated Node #0,0: 34:[15, 68, 19] Operation: 88-69=19
Exploring Operation: 69-15=54, Resulting Numbers: [68, 88, 54]
Generated Node #0,1: 34:[68, 88, 54] Operation: 69-15=54
Exploring Operation: 69-68=1, Resulting Numbers: [15, 88, 1]
Generated Node #0,2: 34:[15, 88, 1] Operation: 69-68=1
Exploring Operation: 88-68=20, Resulting Numbers: [15, 69, 20]
Generated Node #0,3: 34:[15, 69, 20] Operation: 88-68=20
Exploring Operation: 68-15=53, Resulting Numbers: [69, 88, 53]
Generated Node #0,4: 34:[69, 88, 53] Operation: 68-15=53
Moving to Node #0,0
Current State: 34:[15, 68, 19], Operations: ['88-69=19']
Exploring Operation: 15+68=83, Resulting Numbers: [19, 83]
Generated Node #0,0,0: 34:[19, 83] Operation: 15+68=83
Exploring Operation: 68-15=53, Resulting Numbers: [19, 53]
Generated Node #0,0,1: 34:[19, 53] Operation: 68-15=53
Exploring Operation: 19-15=4, Resulting Numbers: [68, 4]
Generated Node #0,0,2: 34:[68, 4] Operation: 19-15=4
Exploring Operation: 68-19=49, Resulting Numbers: [15, 49]
Generated Node #0,0,3: 34:[15, 49] Operation: 68-19=49
Exploring Operation: 15+19=34, Resulting Numbers: [68, 34]
Generated Node #0,0,4: 34:[68, 34] Operation: 15+19=34
Moving to Node #0,3
Current State: 34:[15, 69, 20], Operations: ['88-68=20']
Exploring Operation: 15+20=35, Resulting Numbers: [69, 35]
Generated Node #0,3,0: 34:[69, 35] Operation: 15+20=35
Exploring Operation: 69-15=54, Resulting Numbers: [20, 54]
Generated Node #0,3,1: 34:[20, 54] Operation: 69-15=54
Exploring Operation: 69-20=49, Resulting Numbers: [15, 49]
Generated Node #0,3,2: 34:[15, 49] Operation: 69-20=49
Exploring Operation: 20-15=5, Resulting Numbers: [69, 5]
Generated Node #0,3,3: 34:[69, 5] Operation: 20-15=5
Exploring Operation: 15+69=84, Resulting Numbers: [20, 84]
Generated Node #0,3,4: 34:[20, 84] Operation: 15+69=84
Moving to Node #0,2
Current State: 34:[15, 88, 1], Operations: ['69-68=1']
Exploring Operation: 88-15=73, Resulting Numbers: [1, 73]
Generated Node #0,2,0: 34:[1, 73] Operation: 88-15=73
Exploring Operation: 88-1=87, Resulting Numbers: [15, 87]
Generated Node #0,2,1: 34:[15, 87] Operation: 88-1=87
Exploring Operation: 15+1=16, Resulting Numbers: [88, 16]
Generated Node #0,2,2: 34:[88, 16] Operation: 15+1=16
Exploring Operation: 15*1=15, Resulting Numbers: [88, 15]
Generated Node #0,2,3: 34:[88, 15] Operation: 15*1=15
Exploring Operation: 15/1=15, Resulting Numbers: [88, 15]
Generated Node #0,2,4: 34:[88, 15] Operation: 15/1=15
Moving to Node #0,1
Current State: 34:[68, 88, 54], Operations: ['69-15=54']
Exploring Operation: 88-68=20, Resulting Numbers: [54, 20]
Generated Node #0,1,0: 34:[54, 20] Operation: 88-68=20
Exploring Operation: 68+88=156, Resulting Numbers: [54, 156]
Generated Node #0,1,1: 34:[54, 156] Operation: 68+88=156
Exploring Operation: 68-54=14, Resulting Numbers: [88, 14]
Generated Node #0,1,2: 34:[88, 14] Operation: 68-54=14
Exploring Operation: 88-54=34, Resulting Numbers: [68, 34]
Generated Node #0,1,3: 34:[68, 34] Operation: 88-54=34
Exploring Operation: 68+54=122, Resulting Numbers: [88, 122]
Generated Node #0,1,4: 34:[88, 122] Operation: 68+54=122
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[54, 20], Operations: ['69-15=54', '88-68=20']
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[15, 69, 68, 88], Operations: []
Exploring Operation: 69-15=54, Resulting Numbers: [68, 88, 54]
Generated Node #0,1: 34:[68, 88, 54] Operation: 69-15=54
Moving to Node #0,1
Current State: 34:[68, 88, 54], Operations: ['69-15=54']
Exploring Operation: 88-68=20, Resulting Numbers: [54, 20]
Generated Node #0,1,0: 34:[54, 20] Operation: 88-68=20
Moving to Node #0,1,0
Current State: 34:[54, 20], Operations: ['69-15=54', '88-68=20']
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_5 | mult_heuristic |
[
20,
3,
73,
9
] | 40 | [
"20+73=93",
"93/3=31",
"9+31=40"
] | Current State: 40:[20, 3, 73, 9], Operations: []
Exploring Operation: 20+73=93, Resulting Numbers: [3, 9, 93]
Generated Node #2: [3, 9, 93] from Operation: 20+73=93
Current State: 40:[3, 9, 93], Operations: ['20+73=93']
Exploring Operation: 93/3=31, Resulting Numbers: [9, 31]
Generated Node #3: [9, 31] from Operation: 93/3=31
Current State: 40:[9, 31], Operations: ['20+73=93', '93/3=31']
Exploring Operation: 9+31=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[20, 3, 73, 9], Operations: []
Exploring Operation: 73-3=70, Resulting Numbers: [20, 9, 70]
Generated Node #0,0: 40:[20, 9, 70] Operation: 73-3=70
Exploring Operation: 9-3=6, Resulting Numbers: [20, 73, 6]
Generated Node #0,1: 40:[20, 73, 6] Operation: 9-3=6
Exploring Operation: 73-9=64, Resulting Numbers: [20, 3, 64]
Generated Node #0,2: 40:[20, 3, 64] Operation: 73-9=64
Exploring Operation: 9/3=3, Resulting Numbers: [20, 73, 3]
Generated Node #0,3: 40:[20, 73, 3] Operation: 9/3=3
Exploring Operation: 73-20=53, Resulting Numbers: [3, 9, 53]
Generated Node #0,4: 40:[3, 9, 53] Operation: 73-20=53
Start Sub Search at level 1: Moving to Node #0,4
Current State: 40:[3, 9, 53], Operations: ['73-20=53']
Exploring Operation: 3+9=12, Resulting Numbers: [53, 12]
Generated Node #0,4,0: 40:[53, 12] Operation: 3+9=12
Exploring Operation: 9/3=3, Resulting Numbers: [53, 3]
Generated Node #0,4,1: 40:[53, 3] Operation: 9/3=3
Exploring Operation: 53-3=50, Resulting Numbers: [9, 50]
Generated Node #0,4,2: 40:[9, 50] Operation: 53-3=50
Exploring Operation: 9-3=6, Resulting Numbers: [53, 6]
Generated Node #0,4,3: 40:[53, 6] Operation: 9-3=6
Exploring Operation: 53-9=44, Resulting Numbers: [3, 44]
Generated Node #0,4,4: 40:[3, 44] Operation: 53-9=44
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 40:[3, 44], Operations: ['73-20=53', '53-9=44']
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Exploring Operation: 3*44=132, Resulting Numbers: [132]
132,40 unequal: No Solution
Exploring Operation: 3+44=47, Resulting Numbers: [47]
47,40 unequal: No Solution
No 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: 40:[9, 50], Operations: ['73-20=53', '53-3=50']
Exploring Operation: 9+50=59, Resulting Numbers: [59]
59,40 unequal: No Solution
Exploring Operation: 9*50=450, Resulting Numbers: [450]
450,40 unequal: No Solution
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,40 unequal: No Solution
No 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: 40:[53, 3], Operations: ['73-20=53', '9/3=3']
Exploring Operation: 53*3=159, Resulting Numbers: [159]
159,40 unequal: No Solution
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,40 unequal: No Solution
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,40 unequal: No Solution
No 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: 40:[53, 6], Operations: ['73-20=53', '9-3=6']
Exploring Operation: 53*6=318, Resulting Numbers: [318]
318,40 unequal: No Solution
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Exploring Operation: 53+6=59, Resulting Numbers: [59]
59,40 unequal: No Solution
No 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: 40:[53, 12], Operations: ['73-20=53', '3+9=12']
Exploring Operation: 53*12=636, Resulting Numbers: [636]
636,40 unequal: No Solution
Exploring Operation: 53+12=65, Resulting Numbers: [65]
65,40 unequal: No Solution
Exploring Operation: 53-12=41, Resulting Numbers: [41]
41,40 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: 40:[20, 3, 64], Operations: ['73-9=64']
Exploring Operation: 20+3=23, Resulting Numbers: [64, 23]
Generated Node #0,2,0: 40:[64, 23] Operation: 20+3=23
Exploring Operation: 3+64=67, Resulting Numbers: [20, 67]
Generated Node #0,2,1: 40:[20, 67] Operation: 3+64=67
Exploring Operation: 64-3=61, Resulting Numbers: [20, 61]
Generated Node #0,2,2: 40:[20, 61] Operation: 64-3=61
Exploring Operation: 20-3=17, Resulting Numbers: [64, 17]
Generated Node #0,2,3: 40:[64, 17] Operation: 20-3=17
Exploring Operation: 64-20=44, Resulting Numbers: [3, 44]
Generated Node #0,2,4: 40:[3, 44] Operation: 64-20=44
Moving to Node #0,2,4
Current State: 40:[3, 44], Operations: ['73-9=64', '64-20=44']
Exploring Operation: 3*44=132, Resulting Numbers: [132]
132,40 unequal: No Solution
Exploring Operation: 3+44=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Moving to Node #0,2,2
Current State: 40:[20, 61], Operations: ['73-9=64', '64-3=61']
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Exploring Operation: 20*61=1220, Resulting Numbers: [1220]
1220,40 unequal: No Solution
Exploring Operation: 20+61=81, Resulting Numbers: [81]
81,40 unequal: No Solution
Moving to Node #0,2,0
Current State: 40:[64, 23], Operations: ['73-9=64', '20+3=23']
Exploring Operation: 64*23=1472, Resulting Numbers: [1472]
1472,40 unequal: No Solution
Exploring Operation: 64+23=87, Resulting Numbers: [87]
87,40 unequal: No Solution
Exploring Operation: 64-23=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Moving to Node #0,2,1
Current State: 40:[20, 67], Operations: ['73-9=64', '3+64=67']
Exploring Operation: 20+67=87, Resulting Numbers: [87]
87,40 unequal: No Solution
Exploring Operation: 20*67=1340, Resulting Numbers: [1340]
1340,40 unequal: No Solution
Exploring Operation: 67-20=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Moving to Node #0,2,3
Current State: 40:[64, 17], Operations: ['73-9=64', '20-3=17']
Exploring Operation: 64-17=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Exploring Operation: 64*17=1088, Resulting Numbers: [1088]
1088,40 unequal: No Solution
Exploring Operation: 64+17=81, Resulting Numbers: [81]
81,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[20, 9, 70], Operations: ['73-3=70']
Exploring Operation: 70-9=61, Resulting Numbers: [20, 61]
Generated Node #0,0,0: 40:[20, 61] Operation: 70-9=61
Exploring Operation: 20+9=29, Resulting Numbers: [70, 29]
Generated Node #0,0,1: 40:[70, 29] Operation: 20+9=29
Exploring Operation: 20-9=11, Resulting Numbers: [70, 11]
Generated Node #0,0,2: 40:[70, 11] Operation: 20-9=11
Exploring Operation: 70-20=50, Resulting Numbers: [9, 50]
Generated Node #0,0,3: 40:[9, 50] Operation: 70-20=50
Exploring Operation: 9+70=79, Resulting Numbers: [20, 79]
Generated Node #0,0,4: 40:[20, 79] Operation: 9+70=79
Moving to Node #0,0,3
Current State: 40:[9, 50], Operations: ['73-3=70', '70-20=50']
Exploring Operation: 9+50=59, Resulting Numbers: [59]
59,40 unequal: No Solution
Exploring Operation: 9*50=450, Resulting Numbers: [450]
450,40 unequal: No Solution
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Moving to Node #0,0,0
Current State: 40:[20, 61], Operations: ['73-3=70', '70-9=61']
Exploring Operation: 20+61=81, Resulting Numbers: [81]
81,40 unequal: No Solution
Exploring Operation: 20*61=1220, Resulting Numbers: [1220]
1220,40 unequal: No Solution
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Moving to Node #0,0,2
Current State: 40:[70, 11], Operations: ['73-3=70', '20-9=11']
Exploring Operation: 70-11=59, Resulting Numbers: [59]
59,40 unequal: No Solution
Exploring Operation: 70+11=81, Resulting Numbers: [81]
81,40 unequal: No Solution
Exploring Operation: 70*11=770, Resulting Numbers: [770]
770,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[70, 29], Operations: ['73-3=70', '20+9=29']
Exploring Operation: 70+29=99, Resulting Numbers: [99]
99,40 unequal: No Solution
Exploring Operation: 70-29=41, Resulting Numbers: [41]
41,40 unequal: No Solution
Exploring Operation: 70*29=2030, Resulting Numbers: [2030]
2030,40 unequal: No Solution
Moving to Node #0,0,4
Current State: 40:[20, 79], Operations: ['73-3=70', '9+70=79']
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,40 unequal: No Solution
Exploring Operation: 20*79=1580, Resulting Numbers: [1580]
1580,40 unequal: No Solution
Exploring Operation: 20+79=99, Resulting Numbers: [99]
99,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[20, 73, 6], Operations: ['9-3=6']
Exploring Operation: 73-6=67, Resulting Numbers: [20, 67]
Generated Node #0,1,0: 40:[20, 67] Operation: 73-6=67
Exploring Operation: 20+6=26, Resulting Numbers: [73, 26]
Generated Node #0,1,1: 40:[73, 26] Operation: 20+6=26
Exploring Operation: 20-6=14, Resulting Numbers: [73, 14]
Generated Node #0,1,2: 40:[73, 14] Operation: 20-6=14
Exploring Operation: 73-20=53, Resulting Numbers: [6, 53]
Generated Node #0,1,3: 40:[6, 53] Operation: 73-20=53
Exploring Operation: 73+6=79, Resulting Numbers: [20, 79]
Generated Node #0,1,4: 40:[20, 79] Operation: 73+6=79
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 40:[6, 53], Operations: ['9-3=6', '73-20=53']
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Exploring Operation: 6+53=59, Resulting Numbers: [59]
59,40 unequal: No Solution
Exploring Operation: 6*53=318, Resulting Numbers: [318]
318,40 unequal: No Solution
No 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: 40:[20, 67], Operations: ['9-3=6', '73-6=67']
Exploring Operation: 67-20=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Exploring Operation: 20*67=1340, Resulting Numbers: [1340]
1340,40 unequal: No Solution
Exploring Operation: 20+67=87, Resulting Numbers: [87]
87,40 unequal: No Solution
No 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: 40:[73, 14], Operations: ['9-3=6', '20-6=14']
Exploring Operation: 73+14=87, Resulting Numbers: [87]
87,40 unequal: No Solution
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,40 unequal: No Solution
Exploring Operation: 73*14=1022, Resulting Numbers: [1022]
1022,40 unequal: No Solution
No 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: 40:[73, 26], Operations: ['9-3=6', '20+6=26']
Exploring Operation: 73+26=99, Resulting Numbers: [99]
99,40 unequal: No Solution
Exploring Operation: 73-26=47, Resulting Numbers: [47]
47,40 unequal: No Solution
Exploring Operation: 73*26=1898, Resulting Numbers: [1898]
1898,40 unequal: No Solution
No 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: 40:[20, 79], Operations: ['9-3=6', '73+6=79']
Exploring Operation: 20*79=1580, Resulting Numbers: [1580]
1580,40 unequal: No Solution
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,40 unequal: No Solution
Exploring Operation: 20+79=99, Resulting Numbers: [99]
99,40 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: 40:[20, 73, 3], Operations: ['9/3=3']
Exploring Operation: 73+3=76, Resulting Numbers: [20, 76]
Generated Node #0,3,0: 40:[20, 76] Operation: 73+3=76
Exploring Operation: 73-3=70, Resulting Numbers: [20, 70]
Generated Node #0,3,1: 40:[20, 70] Operation: 73-3=70
Exploring Operation: 73-20=53, Resulting Numbers: [3, 53]
Generated Node #0,3,2: 40:[3, 53] Operation: 73-20=53
Exploring Operation: 20+3=23, Resulting Numbers: [73, 23]
Generated Node #0,3,3: 40:[73, 23] Operation: 20+3=23
Exploring Operation: 20-3=17, Resulting Numbers: [73, 17]
Generated Node #0,3,4: 40:[73, 17] Operation: 20-3=17
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 40:[3, 53], Operations: ['9/3=3', '73-20=53']
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,40 unequal: No Solution
Exploring Operation: 3+53=56, Resulting Numbers: [56]
56,40 unequal: No Solution
Exploring Operation: 3*53=159, Resulting Numbers: [159]
159,40 unequal: No Solution
No 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: 40:[20, 70], Operations: ['9/3=3', '73-3=70']
Exploring Operation: 20*70=1400, Resulting Numbers: [1400]
1400,40 unequal: No Solution
Exploring Operation: 20+70=90, Resulting Numbers: [90]
90,40 unequal: No Solution
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,40 unequal: No Solution
No 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: 40:[20, 76], Operations: ['9/3=3', '73+3=76']
Exploring Operation: 20+76=96, Resulting Numbers: [96]
96,40 unequal: No Solution
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,40 unequal: No Solution
Exploring Operation: 20*76=1520, Resulting Numbers: [1520]
1520,40 unequal: No Solution
No 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: 40:[73, 23], Operations: ['9/3=3', '20+3=23']
Exploring Operation: 73-23=50, Resulting Numbers: [50]
50,40 unequal: No Solution
Exploring Operation: 73+23=96, Resulting Numbers: [96]
96,40 unequal: No Solution
Exploring Operation: 73*23=1679, Resulting Numbers: [1679]
1679,40 unequal: No Solution
No 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: 40:[73, 17], Operations: ['9/3=3', '20-3=17']
Exploring Operation: 73-17=56, Resulting Numbers: [56]
56,40 unequal: No Solution
Exploring Operation: 73*17=1241, Resulting Numbers: [1241]
1241,40 unequal: No Solution
Exploring Operation: 73+17=90, Resulting Numbers: [90]
90,40 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 |
[
29,
78,
43,
26
] | 38 | [
"29+78=107",
"43+26=69",
"107-69=38"
] | Current State: 38:[29, 78, 43, 26], Operations: []
Exploring Operation: 29+78=107, Resulting Numbers: [43, 26, 107]
Generated Node #2: [43, 26, 107] from Operation: 29+78=107
Current State: 38:[43, 26, 107], Operations: ['29+78=107']
Exploring Operation: 43+26=69, Resulting Numbers: [107, 69]
Generated Node #3: [107, 69] from Operation: 43+26=69
Current State: 38:[107, 69], Operations: ['29+78=107', '43+26=69']
Exploring Operation: 107-69=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[29, 78, 43, 26], Operations: []
Exploring Operation: 78-43=35, Resulting Numbers: [29, 26, 35]
Generated Node #0,0: 38:[29, 26, 35] Operation: 78-43=35
Exploring Operation: 78/26=3, Resulting Numbers: [29, 43, 3]
Generated Node #0,1: 38:[29, 43, 3] Operation: 78/26=3
Exploring Operation: 78-29=49, Resulting Numbers: [43, 26, 49]
Generated Node #0,2: 38:[43, 26, 49] Operation: 78-29=49
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[29, 43, 3], Operations: ['78/26=3']
Exploring Operation: 43-29=14, Resulting Numbers: [3, 14]
Generated Node #0,1,0: 38:[3, 14] Operation: 43-29=14
Exploring Operation: 29+3=32, Resulting Numbers: [43, 32]
Generated Node #0,1,1: 38:[43, 32] Operation: 29+3=32
Exploring Operation: 43-3=40, Resulting Numbers: [29, 40]
Generated Node #0,1,2: 38:[29, 40] Operation: 43-3=40
Moving to Node #0,1,0
Current State: 38:[3, 14], Operations: ['78/26=3', '43-29=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,38 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,38 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,38 unequal: No Solution
Moving to Node #0,1,1
Current State: 38:[43, 32], Operations: ['78/26=3', '29+3=32']
Exploring Operation: 43+32=75, Resulting Numbers: [75]
75,38 unequal: No Solution
Exploring Operation: 43-32=11, Resulting Numbers: [11]
11,38 unequal: No Solution
Exploring Operation: 43*32=1376, Resulting Numbers: [1376]
1376,38 unequal: No Solution
Moving to Node #0,1,2
Current State: 38:[29, 40], Operations: ['78/26=3', '43-3=40']
Exploring Operation: 29+40=69, Resulting Numbers: [69]
69,38 unequal: No Solution
Exploring Operation: 29*40=1160, Resulting Numbers: [1160]
1160,38 unequal: No Solution
Exploring Operation: 40-29=11, Resulting Numbers: [11]
11,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[29, 26, 35], Operations: ['78-43=35']
Exploring Operation: 29-26=3, Resulting Numbers: [35, 3]
Generated Node #0,0,0: 38:[35, 3] Operation: 29-26=3
Exploring Operation: 35-29=6, Resulting Numbers: [26, 6]
Generated Node #0,0,1: 38:[26, 6] Operation: 35-29=6
Exploring Operation: 35-26=9, Resulting Numbers: [29, 9]
Generated Node #0,0,2: 38:[29, 9] Operation: 35-26=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 38:[35, 3], Operations: ['78-43=35', '29-26=3']
Exploring Operation: 35*3=105, Resulting Numbers: [105]
105,38 unequal: No Solution
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[29, 78, 43, 26], Operations: []
Exploring Operation: 78-43=35, Resulting Numbers: [29, 26, 35]
Generated Node #0,0: 38:[29, 26, 35] Operation: 78-43=35
Moving to Node #0,0
Current State: 38:[29, 26, 35], Operations: ['78-43=35']
Exploring Operation: 29-26=3, Resulting Numbers: [35, 3]
Generated Node #0,0,0: 38:[35, 3] Operation: 29-26=3
Moving to Node #0,0,0
Current State: 38:[35, 3], Operations: ['78-43=35', '29-26=3']
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.978299 | hs_3 | sum_heuristic |
[
28,
5,
14,
43
] | 62 | [
"28+5=33",
"43-14=29",
"33+29=62"
] | Current State: 62:[28, 5, 14, 43], Operations: []
Exploring Operation: 28+5=33, Resulting Numbers: [14, 43, 33]
Generated Node #2: [14, 43, 33] from Operation: 28+5=33
Current State: 62:[14, 43, 33], Operations: ['28+5=33']
Exploring Operation: 43-14=29, Resulting Numbers: [33, 29]
Generated Node #3: [33, 29] from Operation: 43-14=29
Current State: 62:[33, 29], Operations: ['28+5=33', '43-14=29']
Exploring Operation: 33+29=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[28, 5, 14, 43], Operations: []
Exploring Operation: 43-14=29, Resulting Numbers: [28, 5, 29]
Generated Node #0,0: 62:[28, 5, 29] Operation: 43-14=29
Moving to Node #0,0
Current State: 62:[28, 5, 29], Operations: ['43-14=29']
Exploring Operation: 28+5=33, Resulting Numbers: [29, 33]
Generated Node #0,0,0: 62:[29, 33] Operation: 28+5=33
Moving to Node #0,0,0
Current State: 62:[29, 33], Operations: ['43-14=29', '28+5=33']
Exploring Operation: 29+33=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[28, 5, 14, 43], Operations: []
Exploring Operation: 43-14=29, Resulting Numbers: [28, 5, 29]
Generated Node #0,0: 62:[28, 5, 29] Operation: 43-14=29
Moving to Node #0,0
Current State: 62:[28, 5, 29], Operations: ['43-14=29']
Exploring Operation: 28+5=33, Resulting Numbers: [29, 33]
Generated Node #0,0,0: 62:[29, 33] Operation: 28+5=33
Moving to Node #0,0,0
Current State: 62:[29, 33], Operations: ['43-14=29', '28+5=33']
Exploring Operation: 29+33=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
59,
42,
58,
29
] | 80 | [
"42*29=1218",
"1218/58=21",
"59+21=80"
] | Current State: 80:[59, 42, 58, 29], Operations: []
Exploring Operation: 42*29=1218, Resulting Numbers: [59, 58, 1218]
Generated Node #2: [59, 58, 1218] from Operation: 42*29=1218
Current State: 80:[59, 58, 1218], Operations: ['42*29=1218']
Exploring Operation: 1218/58=21, Resulting Numbers: [59, 21]
Generated Node #3: [59, 21] from Operation: 1218/58=21
Current State: 80:[59, 21], Operations: ['42*29=1218', '1218/58=21']
Exploring Operation: 59+21=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[59, 42, 58, 29], Operations: []
Exploring Operation: 59-58=1, Resulting Numbers: [42, 29, 1]
Generated Node #0,0: 80:[42, 29, 1] Operation: 59-58=1
Moving to Node #0,0
Current State: 80:[42, 29, 1], Operations: ['59-58=1']
Exploring Operation: 42-29=13, Resulting Numbers: [1, 13]
Generated Node #0,0,0: 80:[1, 13] Operation: 42-29=13
Moving to Node #0,0,0
Current State: 80:[1, 13], Operations: ['59-58=1', '42-29=13']
Exploring Operation: 1+13=14, Resulting Numbers: [14]
14,80 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
77,
85,
16,
20
] | 18 | [
"85-77=8",
"16/8=2",
"20-2=18"
] | Current State: 18:[77, 85, 16, 20], Operations: []
Exploring Operation: 85-77=8, Resulting Numbers: [16, 20, 8]
Generated Node #2: [16, 20, 8] from Operation: 85-77=8
Current State: 18:[16, 20, 8], Operations: ['85-77=8']
Exploring Operation: 16/8=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 16/8=2
Current State: 18:[20, 2], Operations: ['85-77=8', '16/8=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[77, 85, 16, 20], Operations: []
Exploring Operation: 85-77=8, Resulting Numbers: [16, 20, 8]
Generated Node #0,0: 18:[16, 20, 8] Operation: 85-77=8
Exploring Operation: 77-20=57, Resulting Numbers: [85, 16, 57]
Generated Node #0,1: 18:[85, 16, 57] Operation: 77-20=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[16, 20, 8], Operations: ['85-77=8']
Exploring Operation: 20-16=4, Resulting Numbers: [8, 4]
Generated Node #0,0,0: 18:[8, 4] Operation: 20-16=4
Exploring Operation: 16/8=2, Resulting Numbers: [20, 2]
Generated Node #0,0,1: 18:[20, 2] Operation: 16/8=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 18:[8, 4], Operations: ['85-77=8', '20-16=4']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 18:[20, 2], Operations: ['85-77=8', '16/8=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[77, 85, 16, 20], Operations: []
Exploring Operation: 85-77=8, Resulting Numbers: [16, 20, 8]
Generated Node #0,0: 18:[16, 20, 8] Operation: 85-77=8
Moving to Node #0,0
Current State: 18:[16, 20, 8], Operations: ['85-77=8']
Exploring Operation: 16/8=2, Resulting Numbers: [20, 2]
Generated Node #0,0,1: 18:[20, 2] Operation: 16/8=2
Moving to Node #0,0,1
Current State: 18:[20, 2], Operations: ['85-77=8', '16/8=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.