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 |
|---|---|---|---|---|---|---|---|---|
[
24,
84,
12,
28
] | 84 | [
"24*84=2016",
"2016/28=72",
"12+72=84"
] | Current State: 84:[24, 84, 12, 28], Operations: []
Exploring Operation: 24*84=2016, Resulting Numbers: [12, 28, 2016]
Generated Node #2: [12, 28, 2016] from Operation: 24*84=2016
Current State: 84:[12, 28, 2016], Operations: ['24*84=2016']
Exploring Operation: 2016/28=72, Resulting Numbers: [12, 72]
Generated Node #3: [12, 72] from Operation: 2016/28=72
Current State: 84:[12, 72], Operations: ['24*84=2016', '2016/28=72']
Exploring Operation: 12+72=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[24, 84, 12, 28], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [84, 28, 2]
Generated Node #0,0: 84:[84, 28, 2] Operation: 24/12=2
Exploring Operation: 84/12=7, Resulting Numbers: [24, 28, 7]
Generated Node #0,1: 84:[24, 28, 7] Operation: 84/12=7
Exploring Operation: 24-12=12, Resulting Numbers: [84, 28, 12]
Generated Node #0,2: 84:[84, 28, 12] Operation: 24-12=12
Exploring Operation: 28-24=4, Resulting Numbers: [84, 12, 4]
Generated Node #0,3: 84:[84, 12, 4] Operation: 28-24=4
Exploring Operation: 84/28=3, Resulting Numbers: [24, 12, 3]
Generated Node #0,4: 84:[24, 12, 3] Operation: 84/28=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[84, 28, 2], Operations: ['24/12=2']
Exploring Operation: 84/28=3, Resulting Numbers: [2, 3]
Generated Node #0,0,0: 84:[2, 3] Operation: 84/28=3
Exploring Operation: 84-2=82, Resulting Numbers: [28, 82]
Generated Node #0,0,1: 84:[28, 82] Operation: 84-2=82
Exploring Operation: 84+2=86, Resulting Numbers: [28, 86]
Generated Node #0,0,2: 84:[28, 86] Operation: 84+2=86
Exploring Operation: 28/2=14, Resulting Numbers: [84, 14]
Generated Node #0,0,3: 84:[84, 14] Operation: 28/2=14
Exploring Operation: 84/2=42, Resulting Numbers: [28, 42]
Generated Node #0,0,4: 84:[28, 42] Operation: 84/2=42
Moving to Node #0,0,0
Current State: 84:[2, 3], Operations: ['24/12=2', '84/28=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 #0,0,4
Current State: 84:[28, 42], Operations: ['24/12=2', '84/2=42']
Exploring Operation: 28+42=70, Resulting Numbers: [70]
70,84 unequal: No Solution
Exploring Operation: 28*42=1176, Resulting Numbers: [1176]
1176,84 unequal: No Solution
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,84 unequal: No Solution
Moving to Node #0,0,3
Current State: 84:[84, 14], Operations: ['24/12=2', '28/2=14']
Exploring Operation: 84/14=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 84+14=98, Resulting Numbers: [98]
98,84 unequal: No Solution
Exploring Operation: 84*14=1176, Resulting Numbers: [1176]
1176,84 unequal: No Solution
Exploring Operation: 84-14=70, Resulting Numbers: [70]
70,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[28, 82], Operations: ['24/12=2', '84-2=82']
Exploring Operation: 82-28=54, Resulting Numbers: [54]
54,84 unequal: No Solution
Exploring Operation: 28+82=110, Resulting Numbers: [110]
110,84 unequal: No Solution
Exploring Operation: 28*82=2296, Resulting Numbers: [2296]
2296,84 unequal: No Solution
Moving to Node #0,0,2
Current State: 84:[28, 86], Operations: ['24/12=2', '84+2=86']
Exploring Operation: 86-28=58, Resulting Numbers: [58]
58,84 unequal: No Solution
Exploring Operation: 28+86=114, Resulting Numbers: [114]
114,84 unequal: No Solution
Exploring Operation: 28*86=2408, Resulting Numbers: [2408]
2408,84 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
Current State: 84:[84, 28, 12], Operations: ['24-12=12']
Exploring Operation: 84/12=7, Resulting Numbers: [28, 7]
Generated Node #0,2,0: 84:[28, 7] Operation: 84/12=7
Exploring Operation: 84+12=96, Resulting Numbers: [28, 96]
Generated Node #0,2,1: 84:[28, 96] Operation: 84+12=96
Exploring Operation: 28+12=40, Resulting Numbers: [84, 40]
Generated Node #0,2,2: 84:[84, 40] Operation: 28+12=40
Exploring Operation: 28-12=16, Resulting Numbers: [84, 16]
Generated Node #0,2,3: 84:[84, 16] Operation: 28-12=16
Exploring Operation: 84/28=3, Resulting Numbers: [12, 3]
Generated Node #0,2,4: 84:[12, 3] Operation: 84/28=3
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 84:[28, 7], Operations: ['24-12=12', '84/12=7']
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,84 unequal: No Solution
Exploring Operation: 28*7=196, Resulting Numbers: [196]
196,84 unequal: No Solution
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,84 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,84 unequal: No Solution
No 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: 84:[12, 3], Operations: ['24-12=12', '84/28=3']
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,84 unequal: No Solution
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,84 unequal: No Solution
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,84 unequal: No Solution
No 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: 84:[84, 40], Operations: ['24-12=12', '28+12=40']
Exploring Operation: 84*40=3360, Resulting Numbers: [3360]
3360,84 unequal: No Solution
Exploring Operation: 84-40=44, Resulting Numbers: [44]
44,84 unequal: No Solution
Exploring Operation: 84+40=124, Resulting Numbers: [124]
124,84 unequal: No Solution
No 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: 84:[84, 16], Operations: ['24-12=12', '28-12=16']
Exploring Operation: 84+16=100, Resulting Numbers: [100]
100,84 unequal: No Solution
Exploring Operation: 84*16=1344, Resulting Numbers: [1344]
1344,84 unequal: No Solution
Exploring Operation: 84-16=68, Resulting Numbers: [68]
68,84 unequal: No Solution
No 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: 84:[28, 96], Operations: ['24-12=12', '84+12=96']
Exploring Operation: 28+96=124, Resulting Numbers: [124]
124,84 unequal: No Solution
Exploring Operation: 28*96=2688, Resulting Numbers: [2688]
2688,84 unequal: No Solution
Exploring Operation: 96-28=68, Resulting Numbers: [68]
68,84 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: 84:[84, 12, 4], Operations: ['28-24=4']
Exploring Operation: 84/12=7, Resulting Numbers: [4, 7]
Generated Node #0,3,0: 84:[4, 7] Operation: 84/12=7
Exploring Operation: 12-4=8, Resulting Numbers: [84, 8]
Generated Node #0,3,1: 84:[84, 8] Operation: 12-4=8
Exploring Operation: 84/4=21, Resulting Numbers: [12, 21]
Generated Node #0,3,2: 84:[12, 21] Operation: 84/4=21
Exploring Operation: 12/4=3, Resulting Numbers: [84, 3]
Generated Node #0,3,3: 84:[84, 3] Operation: 12/4=3
Exploring Operation: 12+4=16, Resulting Numbers: [84, 16]
Generated Node #0,3,4: 84:[84, 16] Operation: 12+4=16
Moving to Node #0,3,0
Current State: 84:[4, 7], Operations: ['28-24=4', '84/12=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Moving to Node #0,3,3
Current State: 84:[84, 3], Operations: ['28-24=4', '12/4=3']
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 84*3=252, Resulting Numbers: [252]
252,84 unequal: No Solution
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,84 unequal: No Solution
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,84 unequal: No Solution
Moving to Node #0,3,2
Current State: 84:[12, 21], Operations: ['28-24=4', '84/4=21']
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,84 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Exploring Operation: 12*21=252, Resulting Numbers: [252]
252,84 unequal: No Solution
Moving to Node #0,3,1
Current State: 84:[84, 8], Operations: ['28-24=4', '12-4=8']
Exploring Operation: 84+8=92, Resulting Numbers: [92]
92,84 unequal: No Solution
Exploring Operation: 84*8=672, Resulting Numbers: [672]
672,84 unequal: No Solution
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,84 unequal: No Solution
Moving to Node #0,3,4
Current State: 84:[84, 16], Operations: ['28-24=4', '12+4=16']
Exploring Operation: 84*16=1344, Resulting Numbers: [1344]
1344,84 unequal: No Solution
Exploring Operation: 84+16=100, Resulting Numbers: [100]
100,84 unequal: No Solution
Exploring Operation: 84-16=68, Resulting Numbers: [68]
68,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[24, 28, 7], Operations: ['84/12=7']
Exploring Operation: 28-7=21, Resulting Numbers: [24, 21]
Generated Node #0,1,0: 84:[24, 21] Operation: 28-7=21
Exploring Operation: 24+7=31, Resulting Numbers: [28, 31]
Generated Node #0,1,1: 84:[28, 31] Operation: 24+7=31
Exploring Operation: 28-24=4, Resulting Numbers: [7, 4]
Generated Node #0,1,2: 84:[7, 4] Operation: 28-24=4
Exploring Operation: 24-7=17, Resulting Numbers: [28, 17]
Generated Node #0,1,3: 84:[28, 17] Operation: 24-7=17
Exploring Operation: 28/7=4, Resulting Numbers: [24, 4]
Generated Node #0,1,4: 84:[24, 4] Operation: 28/7=4
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 84:[7, 4], Operations: ['84/12=7', '28-24=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,84 unequal: No Solution
No 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: 84:[24, 21], Operations: ['84/12=7', '28-7=21']
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,84 unequal: No Solution
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,84 unequal: No Solution
No 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: 84:[28, 31], Operations: ['84/12=7', '24+7=31']
Exploring Operation: 28+31=59, Resulting Numbers: [59]
59,84 unequal: No Solution
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 28*31=868, Resulting Numbers: [868]
868,84 unequal: No Solution
No 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: 84:[28, 17], Operations: ['84/12=7', '24-7=17']
Exploring Operation: 28+17=45, Resulting Numbers: [45]
45,84 unequal: No Solution
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 28*17=476, Resulting Numbers: [476]
476,84 unequal: No Solution
No 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: 84:[24, 4], Operations: ['84/12=7', '28/7=4']
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 24*4=96, Resulting Numbers: [96]
96,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 84:[24, 12, 3], Operations: ['84/28=3']
Exploring Operation: 24-3=21, Resulting Numbers: [12, 21]
Generated Node #0,4,0: 84:[12, 21] Operation: 24-3=21
Exploring Operation: 24+3=27, Resulting Numbers: [12, 27]
Generated Node #0,4,1: 84:[12, 27] Operation: 24+3=27
Exploring Operation: 24/3=8, Resulting Numbers: [12, 8]
Generated Node #0,4,2: 84:[12, 8] Operation: 24/3=8
Exploring Operation: 24-12=12, Resulting Numbers: [3, 12]
Generated Node #0,4,3: 84:[3, 12] Operation: 24-12=12
Exploring Operation: 24/12=2, Resulting Numbers: [3, 2]
Generated Node #0,4,4: 84:[3, 2] Operation: 24/12=2
Moving to Node #0,4,0
Current State: 84:[12, 21], Operations: ['84/28=3', '24-3=21']
Exploring Operation: 12*21=252, Resulting Numbers: [252]
252,84 unequal: No Solution
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,84 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Moving to Node #0,4,4
Current State: 84:[3, 2], Operations: ['84/28=3', '24/12=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Moving to Node #0,4,3
Current State: 84:[3, 12], Operations: ['84/28=3', '24-12=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,84 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,84 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,84 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Moving to Node #0,4,1
Current State: 84:[12, 27], Operations: ['84/28=3', '24+3=27']
Exploring Operation: 12+27=39, Resulting Numbers: [39]
39,84 unequal: No Solution
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,84 unequal: No Solution
Exploring Operation: 12*27=324, Resulting Numbers: [324]
324,84 unequal: No Solution
Moving to Node #0,4,2
Current State: 84:[12, 8], Operations: ['84/28=3', '24/3=8']
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,84 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
38,
4,
7,
15
] | 40 | [
"15-7=8",
"8/4=2",
"38+2=40"
] | Current State: 40:[38, 4, 7, 15], Operations: []
Exploring Operation: 15-7=8, Resulting Numbers: [38, 4, 8]
Generated Node #2: [38, 4, 8] from Operation: 15-7=8
Current State: 40:[38, 4, 8], Operations: ['15-7=8']
Exploring Operation: 8/4=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 8/4=2
Current State: 40:[38, 2], Operations: ['15-7=8', '8/4=2']
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[38, 4, 7, 15], Operations: []
Exploring Operation: 38-15=23, Resulting Numbers: [4, 7, 23]
Generated Node #0,0: 40:[4, 7, 23] Operation: 38-15=23
Exploring Operation: 15-4=11, Resulting Numbers: [38, 7, 11]
Generated Node #0,1: 40:[38, 7, 11] Operation: 15-4=11
Exploring Operation: 7+15=22, Resulting Numbers: [38, 4, 22]
Generated Node #0,2: 40:[38, 4, 22] Operation: 7+15=22
Exploring Operation: 15-7=8, Resulting Numbers: [38, 4, 8]
Generated Node #0,3: 40:[38, 4, 8] Operation: 15-7=8
Exploring Operation: 4+15=19, Resulting Numbers: [38, 7, 19]
Generated Node #0,4: 40:[38, 7, 19] Operation: 4+15=19
Start Sub Search at level 1: Moving to Node #0,3
Current State: 40:[38, 4, 8], Operations: ['15-7=8']
Exploring Operation: 38+4=42, Resulting Numbers: [8, 42]
Generated Node #0,3,0: 40:[8, 42] Operation: 38+4=42
Exploring Operation: 8-4=4, Resulting Numbers: [38, 4]
Generated Node #0,3,1: 40:[38, 4] Operation: 8-4=4
Exploring Operation: 8/4=2, Resulting Numbers: [38, 2]
Generated Node #0,3,2: 40:[38, 2] Operation: 8/4=2
Exploring Operation: 4+8=12, Resulting Numbers: [38, 12]
Generated Node #0,3,3: 40:[38, 12] Operation: 4+8=12
Exploring Operation: 38-4=34, Resulting Numbers: [8, 34]
Generated Node #0,3,4: 40:[8, 34] Operation: 38-4=34
Moving to Node #0,3,0
Current State: 40:[8, 42], Operations: ['15-7=8', '38+4=42']
Exploring Operation: 8+42=50, Resulting Numbers: [50]
50,40 unequal: No Solution
Exploring Operation: 8*42=336, Resulting Numbers: [336]
336,40 unequal: No Solution
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,40 unequal: No Solution
Moving to Node #0,3,2
Current State: 40:[38, 2], Operations: ['15-7=8', '8/4=2']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,40 unequal: No Solution
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[38, 4, 7, 15], Operations: []
Exploring Operation: 15-7=8, Resulting Numbers: [38, 4, 8]
Generated Node #0,3: 40:[38, 4, 8] Operation: 15-7=8
Moving to Node #0,3
Current State: 40:[38, 4, 8], Operations: ['15-7=8']
Exploring Operation: 8/4=2, Resulting Numbers: [38, 2]
Generated Node #0,3,2: 40:[38, 2] Operation: 8/4=2
Moving to Node #0,3,2
Current State: 40:[38, 2], Operations: ['15-7=8', '8/4=2']
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
30,
92,
66,
60
] | 59 | [
"30*66=1980",
"1980/60=33",
"92-33=59"
] | Current State: 59:[30, 92, 66, 60], Operations: []
Exploring Operation: 30*66=1980, Resulting Numbers: [92, 60, 1980]
Generated Node #2: [92, 60, 1980] from Operation: 30*66=1980
Current State: 59:[92, 60, 1980], Operations: ['30*66=1980']
Exploring Operation: 1980/60=33, Resulting Numbers: [92, 33]
Generated Node #3: [92, 33] from Operation: 1980/60=33
Current State: 59:[92, 33], Operations: ['30*66=1980', '1980/60=33']
Exploring Operation: 92-33=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[30, 92, 66, 60], Operations: []
Exploring Operation: 92-30=62, Resulting Numbers: [66, 60, 62]
Generated Node #0,0: 59:[66, 60, 62] Operation: 92-30=62
Exploring Operation: 92-66=26, Resulting Numbers: [30, 60, 26]
Generated Node #0,1: 59:[30, 60, 26] Operation: 92-66=26
Exploring Operation: 66-30=36, Resulting Numbers: [92, 60, 36]
Generated Node #0,2: 59:[92, 60, 36] Operation: 66-30=36
Exploring Operation: 92-60=32, Resulting Numbers: [30, 66, 32]
Generated Node #0,3: 59:[30, 66, 32] Operation: 92-60=32
Moving to Node #0,0
Current State: 59:[66, 60, 62], Operations: ['92-30=62']
Exploring Operation: 66-62=4, Resulting Numbers: [60, 4]
Generated Node #0,0,0: 59:[60, 4] Operation: 66-62=4
Exploring Operation: 66-60=6, Resulting Numbers: [62, 6]
Generated Node #0,0,1: 59:[62, 6] Operation: 66-60=6
Exploring Operation: 62-60=2, Resulting Numbers: [66, 2]
Generated Node #0,0,2: 59:[66, 2] Operation: 62-60=2
Exploring Operation: 66+60=126, Resulting Numbers: [62, 126]
Generated Node #0,0,3: 59:[62, 126] Operation: 66+60=126
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[60, 4], Operations: ['92-30=62', '66-62=4']
Exploring Operation: 60*4=240, Resulting Numbers: [240]
240,59 unequal: No Solution
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,59 unequal: No Solution
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,59 unequal: No Solution
Exploring Operation: 60+4=64, Resulting Numbers: [64]
64,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 59:[62, 6], Operations: ['92-30=62', '66-60=6']
Exploring Operation: 62+6=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 62*6=372, Resulting Numbers: [372]
372,59 unequal: No Solution
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 59:[66, 2], Operations: ['92-30=62', '62-60=2']
Exploring Operation: 66*2=132, Resulting Numbers: [132]
132,59 unequal: No Solution
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,59 unequal: No Solution
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 59:[62, 126], Operations: ['92-30=62', '66+60=126']
Exploring Operation: 126-62=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Exploring Operation: 62*126=7812, Resulting Numbers: [7812]
7812,59 unequal: No Solution
Exploring Operation: 62+126=188, Resulting Numbers: [188]
188,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 59:[92, 60, 36], Operations: ['66-30=36']
Exploring Operation: 60-36=24, Resulting Numbers: [92, 24]
Generated Node #0,2,0: 59:[92, 24] Operation: 60-36=24
Exploring Operation: 92+36=128, Resulting Numbers: [60, 128]
Generated Node #0,2,1: 59:[60, 128] Operation: 92+36=128
Exploring Operation: 92-36=56, Resulting Numbers: [60, 56]
Generated Node #0,2,2: 59:[60, 56] Operation: 92-36=56
Exploring Operation: 92-60=32, Resulting Numbers: [36, 32]
Generated Node #0,2,3: 59:[36, 32] Operation: 92-60=32
Moving to Node #0,3
Current State: 59:[30, 66, 32], Operations: ['92-60=32']
Exploring Operation: 30+32=62, Resulting Numbers: [66, 62]
Generated Node #0,3,0: 59:[66, 62] Operation: 30+32=62
Exploring Operation: 30+66=96, Resulting Numbers: [32, 96]
Generated Node #0,3,1: 59:[32, 96] Operation: 30+66=96
Exploring Operation: 66-30=36, Resulting Numbers: [32, 36]
Generated Node #0,3,2: 59:[32, 36] Operation: 66-30=36
Exploring Operation: 66-32=34, Resulting Numbers: [30, 34]
Generated Node #0,3,3: 59:[30, 34] Operation: 66-32=34
Moving to Node #0,1
Current State: 59:[30, 60, 26], Operations: ['92-66=26']
Exploring Operation: 30+26=56, Resulting Numbers: [60, 56]
Generated Node #0,1,0: 59:[60, 56] Operation: 30+26=56
Exploring Operation: 30-26=4, Resulting Numbers: [60, 4]
Generated Node #0,1,1: 59:[60, 4] Operation: 30-26=4
Exploring Operation: 60+26=86, Resulting Numbers: [30, 86]
Generated Node #0,1,2: 59:[30, 86] Operation: 60+26=86
Exploring Operation: 60-26=34, Resulting Numbers: [30, 34]
Generated Node #0,1,3: 59:[30, 34] Operation: 60-26=34
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 59:[60, 56], Operations: ['92-66=26', '30+26=56']
Exploring Operation: 60*56=3360, Resulting Numbers: [3360]
3360,59 unequal: No Solution
Exploring Operation: 60-56=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Exploring Operation: 60+56=116, Resulting Numbers: [116]
116,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 59:[30, 34], Operations: ['92-66=26', '60-26=34']
Exploring Operation: 34-30=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Exploring Operation: 30+34=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Exploring Operation: 30*34=1020, Resulting Numbers: [1020]
1020,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 59:[60, 4], Operations: ['92-66=26', '30-26=4']
Exploring Operation: 60-4=56, Resulting Numbers: [56]
56,59 unequal: No Solution
Exploring Operation: 60*4=240, Resulting Numbers: [240]
240,59 unequal: No Solution
Exploring Operation: 60+4=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 59:[30, 86], Operations: ['92-66=26', '60+26=86']
Exploring Operation: 86-30=56, Resulting Numbers: [56]
56,59 unequal: No Solution
Exploring Operation: 30+86=116, Resulting Numbers: [116]
116,59 unequal: No Solution
Exploring Operation: 30*86=2580, Resulting Numbers: [2580]
2580,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 59:[60, 56], Operations: ['66-30=36', '92-36=56']
Exploring Operation: 60-56=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Exploring Operation: 60*56=3360, Resulting Numbers: [3360]
3360,59 unequal: No Solution
Exploring Operation: 60+56=116, Resulting Numbers: [116]
116,59 unequal: No Solution
Moving to Node #0,3,0
Current State: 59:[66, 62], Operations: ['92-60=32', '30+32=62']
Exploring Operation: 66*62=4092, Resulting Numbers: [4092]
4092,59 unequal: No Solution
Exploring Operation: 66-62=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Exploring Operation: 66+62=128, Resulting Numbers: [128]
128,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[32, 36], Operations: ['92-60=32', '66-30=36']
Exploring Operation: 32*36=1152, Resulting Numbers: [1152]
1152,59 unequal: No Solution
Exploring Operation: 32+36=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 36-32=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Moving to Node #0,2,3
Current State: 59:[36, 32], Operations: ['66-30=36', '92-60=32']
Exploring Operation: 36*32=1152, Resulting Numbers: [1152]
1152,59 unequal: No Solution
Exploring Operation: 36-32=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Exploring Operation: 36+32=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[30, 34], Operations: ['92-60=32', '66-32=34']
Exploring Operation: 34-30=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Exploring Operation: 30+34=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Exploring Operation: 30*34=1020, Resulting Numbers: [1020]
1020,59 unequal: No Solution
Moving to Node #0,3,1
Current State: 59:[32, 96], Operations: ['92-60=32', '30+66=96']
Exploring Operation: 32+96=128, Resulting Numbers: [128]
128,59 unequal: No Solution
Exploring Operation: 32*96=3072, Resulting Numbers: [3072]
3072,59 unequal: No Solution
Exploring Operation: 96-32=64, Resulting Numbers: [64]
64,59 unequal: No Solution
Exploring Operation: 96/32=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[92, 24], Operations: ['66-30=36', '60-36=24']
Exploring Operation: 92*24=2208, Resulting Numbers: [2208]
2208,59 unequal: No Solution
Exploring Operation: 92-24=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 92+24=116, Resulting Numbers: [116]
116,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[60, 128], Operations: ['66-30=36', '92+36=128']
Exploring Operation: 128-60=68, Resulting Numbers: [68]
68,59 unequal: No Solution
Exploring Operation: 60+128=188, Resulting Numbers: [188]
188,59 unequal: No Solution
Exploring Operation: 60*128=7680, Resulting Numbers: [7680]
7680,59 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
12,
38,
80,
50
] | 81 | [
"12+38=50",
"50/50=1",
"80+1=81"
] | Current State: 81:[12, 38, 80, 50], Operations: []
Exploring Operation: 12+38=50, Resulting Numbers: [80, 50, 50]
Generated Node #2: [80, 50, 50] from Operation: 12+38=50
Current State: 81:[80, 50, 50], Operations: ['12+38=50']
Exploring Operation: 50/50=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 50/50=1
Current State: 81:[80, 1], Operations: ['12+38=50', '50/50=1']
Exploring Operation: 80+1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[12, 38, 80, 50], Operations: []
Exploring Operation: 50-38=12, Resulting Numbers: [12, 80, 12]
Generated Node #0,0: 81:[12, 80, 12] Operation: 50-38=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[12, 80, 12], Operations: ['50-38=12']
Exploring Operation: 12/12=1, Resulting Numbers: [80, 1]
Generated Node #0,0,0: 81:[80, 1] Operation: 12/12=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[80, 1], Operations: ['50-38=12', '12/12=1']
Exploring Operation: 80+1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[12, 38, 80, 50], Operations: []
Exploring Operation: 50-38=12, Resulting Numbers: [12, 80, 12]
Generated Node #0,0: 81:[12, 80, 12] Operation: 50-38=12
Moving to Node #0,0
Current State: 81:[12, 80, 12], Operations: ['50-38=12']
Exploring Operation: 12/12=1, Resulting Numbers: [80, 1]
Generated Node #0,0,0: 81:[80, 1] Operation: 12/12=1
Moving to Node #0,0,0
Current State: 81:[80, 1], Operations: ['50-38=12', '12/12=1']
Exploring Operation: 80+1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
35,
62,
73,
50
] | 96 | [
"62-35=27",
"73+50=123",
"123-27=96"
] | Current State: 96:[35, 62, 73, 50], Operations: []
Exploring Operation: 62-35=27, Resulting Numbers: [73, 50, 27]
Generated Node #2: [73, 50, 27] from Operation: 62-35=27
Current State: 96:[73, 50, 27], Operations: ['62-35=27']
Exploring Operation: 73+50=123, Resulting Numbers: [27, 123]
Generated Node #3: [27, 123] from Operation: 73+50=123
Current State: 96:[27, 123], Operations: ['62-35=27', '73+50=123']
Exploring Operation: 123-27=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[35, 62, 73, 50], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [35, 50, 11]
Generated Node #0,0: 96:[35, 50, 11] Operation: 73-62=11
Exploring Operation: 73-35=38, Resulting Numbers: [62, 50, 38]
Generated Node #0,1: 96:[62, 50, 38] Operation: 73-35=38
Exploring Operation: 62-50=12, Resulting Numbers: [35, 73, 12]
Generated Node #0,2: 96:[35, 73, 12] Operation: 62-50=12
Exploring Operation: 35+62=97, Resulting Numbers: [73, 50, 97]
Generated Node #0,3: 96:[73, 50, 97] Operation: 35+62=97
Exploring Operation: 73-50=23, Resulting Numbers: [35, 62, 23]
Generated Node #0,4: 96:[35, 62, 23] Operation: 73-50=23
Moving to Node #0,0
Current State: 96:[35, 50, 11], Operations: ['73-62=11']
Exploring Operation: 35-11=24, Resulting Numbers: [50, 24]
Generated Node #0,0,0: 96:[50, 24] Operation: 35-11=24
Exploring Operation: 50-35=15, Resulting Numbers: [11, 15]
Generated Node #0,0,1: 96:[11, 15] Operation: 50-35=15
Exploring Operation: 35+11=46, Resulting Numbers: [50, 46]
Generated Node #0,0,2: 96:[50, 46] Operation: 35+11=46
Exploring Operation: 35+50=85, Resulting Numbers: [11, 85]
Generated Node #0,0,3: 96:[11, 85] Operation: 35+50=85
Exploring Operation: 50-11=39, Resulting Numbers: [35, 39]
Generated Node #0,0,4: 96:[35, 39] Operation: 50-11=39
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[50, 24], Operations: ['73-62=11', '35-11=24']
Exploring Operation: 50*24=1200, Resulting Numbers: [1200]
1200,96 unequal: No Solution
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,96 unequal: No Solution
Exploring Operation: 50+24=74, Resulting Numbers: [74]
74,96 unequal: No Solution
No 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: 96:[11, 15], Operations: ['73-62=11', '50-35=15']
Exploring Operation: 11*15=165, Resulting Numbers: [165]
165,96 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,96 unequal: No Solution
Exploring Operation: 11+15=26, Resulting Numbers: [26]
26,96 unequal: No Solution
No 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: 96:[50, 46], Operations: ['73-62=11', '35+11=46']
Exploring Operation: 50-46=4, Resulting Numbers: [4]
4,96 unequal: No Solution
Exploring Operation: 50+46=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[35, 62, 73, 50], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [35, 50, 11]
Generated Node #0,0: 96:[35, 50, 11] Operation: 73-62=11
Moving to Node #0,0
Current State: 96:[35, 50, 11], Operations: ['73-62=11']
Exploring Operation: 35+11=46, Resulting Numbers: [50, 46]
Generated Node #0,0,2: 96:[50, 46] Operation: 35+11=46
Moving to Node #0,0,2
Current State: 96:[50, 46], Operations: ['73-62=11', '35+11=46']
Exploring Operation: 50+46=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | mult_heuristic |
[
79,
65,
23,
47
] | 74 | [
"79+65=144",
"23+47=70",
"144-70=74"
] | Current State: 74:[79, 65, 23, 47], Operations: []
Exploring Operation: 79+65=144, Resulting Numbers: [23, 47, 144]
Generated Node #2: [23, 47, 144] from Operation: 79+65=144
Current State: 74:[23, 47, 144], Operations: ['79+65=144']
Exploring Operation: 23+47=70, Resulting Numbers: [144, 70]
Generated Node #3: [144, 70] from Operation: 23+47=70
Current State: 74:[144, 70], Operations: ['79+65=144', '23+47=70']
Exploring Operation: 144-70=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[79, 65, 23, 47], Operations: []
Exploring Operation: 65+23=88, Resulting Numbers: [79, 47, 88]
Generated Node #0,0: 74:[79, 47, 88] Operation: 65+23=88
Exploring Operation: 23+47=70, Resulting Numbers: [79, 65, 70]
Generated Node #0,1: 74:[79, 65, 70] Operation: 23+47=70
Exploring Operation: 79-47=32, Resulting Numbers: [65, 23, 32]
Generated Node #0,2: 74:[65, 23, 32] Operation: 79-47=32
Exploring Operation: 65-23=42, Resulting Numbers: [79, 47, 42]
Generated Node #0,3: 74:[79, 47, 42] Operation: 65-23=42
Exploring Operation: 47-23=24, Resulting Numbers: [79, 65, 24]
Generated Node #0,4: 74:[79, 65, 24] Operation: 47-23=24
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[79, 65, 70], Operations: ['23+47=70']
Exploring Operation: 65+70=135, Resulting Numbers: [79, 135]
Generated Node #0,1,0: 74:[79, 135] Operation: 65+70=135
Exploring Operation: 79-65=14, Resulting Numbers: [70, 14]
Generated Node #0,1,1: 74:[70, 14] Operation: 79-65=14
Exploring Operation: 79-70=9, Resulting Numbers: [65, 9]
Generated Node #0,1,2: 74:[65, 9] Operation: 79-70=9
Exploring Operation: 70-65=5, Resulting Numbers: [79, 5]
Generated Node #0,1,3: 74:[79, 5] Operation: 70-65=5
Exploring Operation: 79+65=144, Resulting Numbers: [70, 144]
Generated Node #0,1,4: 74:[70, 144] Operation: 79+65=144
Moving to Node #0,1,3
Current State: 74:[79, 5], Operations: ['23+47=70', '70-65=5']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[79, 65, 23, 47], Operations: []
Exploring Operation: 23+47=70, Resulting Numbers: [79, 65, 70]
Generated Node #0,1: 74:[79, 65, 70] Operation: 23+47=70
Moving to Node #0,1
Current State: 74:[79, 65, 70], Operations: ['23+47=70']
Exploring Operation: 70-65=5, Resulting Numbers: [79, 5]
Generated Node #0,1,3: 74:[79, 5] Operation: 70-65=5
Moving to Node #0,1,3
Current State: 74:[79, 5], Operations: ['23+47=70', '70-65=5']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
10,
31,
90,
94
] | 26 | [
"10*90=900",
"900-94=806",
"806/31=26"
] | Current State: 26:[10, 31, 90, 94], Operations: []
Exploring Operation: 10*90=900, Resulting Numbers: [31, 94, 900]
Generated Node #2: [31, 94, 900] from Operation: 10*90=900
Current State: 26:[31, 94, 900], Operations: ['10*90=900']
Exploring Operation: 900-94=806, Resulting Numbers: [31, 806]
Generated Node #3: [31, 806] from Operation: 900-94=806
Current State: 26:[31, 806], Operations: ['10*90=900', '900-94=806']
Exploring Operation: 806/31=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[10, 31, 90, 94], Operations: []
Exploring Operation: 94-31=63, Resulting Numbers: [10, 90, 63]
Generated Node #0,0: 26:[10, 90, 63] Operation: 94-31=63
Exploring Operation: 90-31=59, Resulting Numbers: [10, 94, 59]
Generated Node #0,1: 26:[10, 94, 59] Operation: 90-31=59
Exploring Operation: 90/10=9, Resulting Numbers: [31, 94, 9]
Generated Node #0,2: 26:[31, 94, 9] Operation: 90/10=9
Exploring Operation: 94-90=4, Resulting Numbers: [10, 31, 4]
Generated Node #0,3: 26:[10, 31, 4] Operation: 94-90=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 26:[10, 31, 4], Operations: ['94-90=4']
Exploring Operation: 10-4=6, Resulting Numbers: [31, 6]
Generated Node #0,3,0: 26:[31, 6] Operation: 10-4=6
Exploring Operation: 31-10=21, Resulting Numbers: [4, 21]
Generated Node #0,3,1: 26:[4, 21] Operation: 31-10=21
Exploring Operation: 10+4=14, Resulting Numbers: [31, 14]
Generated Node #0,3,2: 26:[31, 14] Operation: 10+4=14
Exploring Operation: 31-4=27, Resulting Numbers: [10, 27]
Generated Node #0,3,3: 26:[10, 27] Operation: 31-4=27
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 26:[10, 27], Operations: ['94-90=4', '31-4=27']
Exploring Operation: 10*27=270, Resulting Numbers: [270]
270,26 unequal: No Solution
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,26 unequal: No Solution
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 26:[31, 14], Operations: ['94-90=4', '10+4=14']
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,26 unequal: No Solution
Exploring Operation: 31*14=434, Resulting Numbers: [434]
434,26 unequal: No Solution
Exploring Operation: 31+14=45, Resulting Numbers: [45]
45,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 26:[4, 21], Operations: ['94-90=4', '31-10=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,26 unequal: No Solution
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,26 unequal: No Solution
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 26:[31, 6], Operations: ['94-90=4', '10-4=6']
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,26 unequal: No Solution
Exploring Operation: 31*6=186, Resulting Numbers: [186]
186,26 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 26:[31, 94, 9], Operations: ['90/10=9']
Exploring Operation: 31-9=22, Resulting Numbers: [94, 22]
Generated Node #0,2,0: 26:[94, 22] Operation: 31-9=22
Exploring Operation: 94-9=85, Resulting Numbers: [31, 85]
Generated Node #0,2,1: 26:[31, 85] Operation: 94-9=85
Exploring Operation: 94-31=63, Resulting Numbers: [9, 63]
Generated Node #0,2,2: 26:[9, 63] Operation: 94-31=63
Exploring Operation: 31+9=40, Resulting Numbers: [94, 40]
Generated Node #0,2,3: 26:[94, 40] Operation: 31+9=40
Moving to Node #0,2,2
Current State: 26:[9, 63], Operations: ['90/10=9', '94-31=63']
Exploring Operation: 63-9=54, Resulting Numbers: [54]
54,26 unequal: No Solution
Exploring Operation: 63/9=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Exploring Operation: 9*63=567, Resulting Numbers: [567]
567,26 unequal: No Solution
Exploring Operation: 9+63=72, Resulting Numbers: [72]
72,26 unequal: No Solution
Moving to Node #0,2,1
Current State: 26:[31, 85], Operations: ['90/10=9', '94-9=85']
Exploring Operation: 85-31=54, Resulting Numbers: [54]
54,26 unequal: No Solution
Exploring Operation: 31*85=2635, Resulting Numbers: [2635]
2635,26 unequal: No Solution
Exploring Operation: 31+85=116, Resulting Numbers: [116]
116,26 unequal: No Solution
Moving to Node #0,2,0
Current State: 26:[94, 22], Operations: ['90/10=9', '31-9=22']
Exploring Operation: 94*22=2068, Resulting Numbers: [2068]
2068,26 unequal: No Solution
Exploring Operation: 94-22=72, Resulting Numbers: [72]
72,26 unequal: No Solution
Exploring Operation: 94+22=116, Resulting Numbers: [116]
116,26 unequal: No Solution
Moving to Node #0,2,3
Current State: 26:[94, 40], Operations: ['90/10=9', '31+9=40']
Exploring Operation: 94+40=134, Resulting Numbers: [134]
134,26 unequal: No Solution
Exploring Operation: 94-40=54, Resulting Numbers: [54]
54,26 unequal: No Solution
Exploring Operation: 94*40=3760, Resulting Numbers: [3760]
3760,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[10, 90, 63], Operations: ['94-31=63']
Exploring Operation: 63-10=53, Resulting Numbers: [90, 53]
Generated Node #0,0,0: 26:[90, 53] Operation: 63-10=53
Exploring Operation: 90/10=9, Resulting Numbers: [63, 9]
Generated Node #0,0,1: 26:[63, 9] Operation: 90/10=9
Exploring Operation: 90-63=27, Resulting Numbers: [10, 27]
Generated Node #0,0,2: 26:[10, 27] Operation: 90-63=27
Exploring Operation: 90-10=80, Resulting Numbers: [63, 80]
Generated Node #0,0,3: 26:[63, 80] Operation: 90-10=80
Moving to Node #0,0,2
Current State: 26:[10, 27], Operations: ['94-31=63', '90-63=27']
Exploring Operation: 10*27=270, Resulting Numbers: [270]
270,26 unequal: No Solution
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,26 unequal: No Solution
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,26 unequal: No Solution
Moving to Node #0,0,1
Current State: 26:[63, 9], Operations: ['94-31=63', '90/10=9']
Exploring Operation: 63/9=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Exploring Operation: 63+9=72, Resulting Numbers: [72]
72,26 unequal: No Solution
Exploring Operation: 63-9=54, Resulting Numbers: [54]
54,26 unequal: No Solution
Exploring Operation: 63*9=567, Resulting Numbers: [567]
567,26 unequal: No Solution
Moving to Node #0,0,3
Current State: 26:[63, 80], Operations: ['94-31=63', '90-10=80']
Exploring Operation: 63*80=5040, Resulting Numbers: [5040]
5040,26 unequal: No Solution
Exploring Operation: 63+80=143, Resulting Numbers: [143]
143,26 unequal: No Solution
Exploring Operation: 80-63=17, Resulting Numbers: [17]
17,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[90, 53], Operations: ['94-31=63', '63-10=53']
Exploring Operation: 90+53=143, Resulting Numbers: [143]
143,26 unequal: No Solution
Exploring Operation: 90*53=4770, Resulting Numbers: [4770]
4770,26 unequal: No Solution
Exploring Operation: 90-53=37, Resulting Numbers: [37]
37,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[10, 94, 59], Operations: ['90-31=59']
Exploring Operation: 94-59=35, Resulting Numbers: [10, 35]
Generated Node #0,1,0: 26:[10, 35] Operation: 94-59=35
Exploring Operation: 10+94=104, Resulting Numbers: [59, 104]
Generated Node #0,1,1: 26:[59, 104] Operation: 10+94=104
Exploring Operation: 94-10=84, Resulting Numbers: [59, 84]
Generated Node #0,1,2: 26:[59, 84] Operation: 94-10=84
Exploring Operation: 59-10=49, Resulting Numbers: [94, 49]
Generated Node #0,1,3: 26:[94, 49] Operation: 59-10=49
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 26:[10, 35], Operations: ['90-31=59', '94-59=35']
Exploring Operation: 10*35=350, Resulting Numbers: [350]
350,26 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,26 unequal: No Solution
Exploring Operation: 10+35=45, Resulting Numbers: [45]
45,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 26:[59, 84], Operations: ['90-31=59', '94-10=84']
Exploring Operation: 59+84=143, Resulting Numbers: [143]
143,26 unequal: No Solution
Exploring Operation: 84-59=25, Resulting Numbers: [25]
25,26 unequal: No Solution
Exploring Operation: 59*84=4956, Resulting Numbers: [4956]
4956,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 26:[94, 49], Operations: ['90-31=59', '59-10=49']
Exploring Operation: 94+49=143, Resulting Numbers: [143]
143,26 unequal: No Solution
Exploring Operation: 94*49=4606, Resulting Numbers: [4606]
4606,26 unequal: No Solution
Exploring Operation: 94-49=45, Resulting Numbers: [45]
45,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 26:[59, 104], Operations: ['90-31=59', '10+94=104']
Exploring Operation: 59*104=6136, Resulting Numbers: [6136]
6136,26 unequal: No Solution
Exploring Operation: 104-59=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Exploring Operation: 59+104=163, Resulting Numbers: [163]
163,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
57,
58,
82,
33
] | 48 | [
"58-57=1",
"82-33=49",
"49-1=48"
] | Current State: 48:[57, 58, 82, 33], Operations: []
Exploring Operation: 58-57=1, Resulting Numbers: [82, 33, 1]
Generated Node #2: [82, 33, 1] from Operation: 58-57=1
Current State: 48:[82, 33, 1], Operations: ['58-57=1']
Exploring Operation: 82-33=49, Resulting Numbers: [1, 49]
Generated Node #3: [1, 49] from Operation: 82-33=49
Current State: 48:[1, 49], Operations: ['58-57=1', '82-33=49']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[57, 58, 82, 33], Operations: []
Exploring Operation: 82-33=49, Resulting Numbers: [57, 58, 49]
Generated Node #0,0: 48:[57, 58, 49] Operation: 82-33=49
Exploring Operation: 82-57=25, Resulting Numbers: [58, 33, 25]
Generated Node #0,1: 48:[58, 33, 25] Operation: 82-57=25
Exploring Operation: 82-58=24, Resulting Numbers: [57, 33, 24]
Generated Node #0,2: 48:[57, 33, 24] Operation: 82-58=24
Moving to Node #0,2
Current State: 48:[57, 33, 24], Operations: ['82-58=24']
Exploring Operation: 57-24=33, Resulting Numbers: [33, 33]
Generated Node #0,2,0: 48:[33, 33] Operation: 57-24=33
Exploring Operation: 57-33=24, Resulting Numbers: [24, 24]
Generated Node #0,2,1: 48:[24, 24] Operation: 57-33=24
Exploring Operation: 33-24=9, Resulting Numbers: [57, 9]
Generated Node #0,2,2: 48:[57, 9] Operation: 33-24=9
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 48:[24, 24], Operations: ['82-58=24', '57-33=24']
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[57, 58, 82, 33], Operations: []
Exploring Operation: 82-58=24, Resulting Numbers: [57, 33, 24]
Generated Node #0,2: 48:[57, 33, 24] Operation: 82-58=24
Moving to Node #0,2
Current State: 48:[57, 33, 24], Operations: ['82-58=24']
Exploring Operation: 57-33=24, Resulting Numbers: [24, 24]
Generated Node #0,2,1: 48:[24, 24] Operation: 57-33=24
Moving to Node #0,2,1
Current State: 48:[24, 24], Operations: ['82-58=24', '57-33=24']
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
52,
8,
92,
1
] | 14 | [
"92-1=91",
"8*91=728",
"728/52=14"
] | Current State: 14:[52, 8, 92, 1], Operations: []
Exploring Operation: 92-1=91, Resulting Numbers: [52, 8, 91]
Generated Node #2: [52, 8, 91] from Operation: 92-1=91
Current State: 14:[52, 8, 91], Operations: ['92-1=91']
Exploring Operation: 8*91=728, Resulting Numbers: [52, 728]
Generated Node #3: [52, 728] from Operation: 8*91=728
Current State: 14:[52, 728], Operations: ['92-1=91', '8*91=728']
Exploring Operation: 728/52=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[52, 8, 92, 1], Operations: []
Exploring Operation: 92-52=40, Resulting Numbers: [8, 1, 40]
Generated Node #0,0: 14:[8, 1, 40] Operation: 92-52=40
Exploring Operation: 92-8=84, Resulting Numbers: [52, 1, 84]
Generated Node #0,1: 14:[52, 1, 84] Operation: 92-8=84
Exploring Operation: 52-8=44, Resulting Numbers: [92, 1, 44]
Generated Node #0,2: 14:[92, 1, 44] Operation: 52-8=44
Moving to Node #0,0
Current State: 14:[8, 1, 40], Operations: ['92-52=40']
Exploring Operation: 40/8=5, Resulting Numbers: [1, 5]
Generated Node #0,0,0: 14:[1, 5] Operation: 40/8=5
Exploring Operation: 40-8=32, Resulting Numbers: [1, 32]
Generated Node #0,0,1: 14:[1, 32] Operation: 40-8=32
Exploring Operation: 8-1=7, Resulting Numbers: [40, 7]
Generated Node #0,0,2: 14:[40, 7] Operation: 8-1=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[1, 5], Operations: ['92-52=40', '40/8=5']
Exploring Operation: 1+5=6, Resulting Numbers: [6]
6,14 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,14 unequal: No Solution
Exploring Operation: 1*5=5, Resulting Numbers: [5]
5,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 14:[1, 32], Operations: ['92-52=40', '40-8=32']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,14 unequal: No Solution
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,14 unequal: No Solution
Exploring Operation: 1*32=32, Resulting Numbers: [32]
32,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 14:[40, 7], Operations: ['92-52=40', '8-1=7']
Exploring Operation: 40*7=280, Resulting Numbers: [280]
280,14 unequal: No Solution
Exploring Operation: 40+7=47, Resulting Numbers: [47]
47,14 unequal: No Solution
Exploring Operation: 40-7=33, Resulting Numbers: [33]
33,14 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: 14:[52, 1, 84], Operations: ['92-8=84']
Exploring Operation: 84-52=32, Resulting Numbers: [1, 32]
Generated Node #0,1,0: 14:[1, 32] Operation: 84-52=32
Exploring Operation: 52-1=51, Resulting Numbers: [84, 51]
Generated Node #0,1,1: 14:[84, 51] Operation: 52-1=51
Exploring Operation: 84-1=83, Resulting Numbers: [52, 83]
Generated Node #0,1,2: 14:[52, 83] Operation: 84-1=83
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 14:[1, 32], Operations: ['92-8=84', '84-52=32']
Exploring Operation: 32/1=32, Resulting Numbers: [32]
32,14 unequal: No Solution
Exploring Operation: 1*32=32, Resulting Numbers: [32]
32,14 unequal: No Solution
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 14:[84, 51], Operations: ['92-8=84', '52-1=51']
Exploring Operation: 84*51=4284, Resulting Numbers: [4284]
4284,14 unequal: No Solution
Exploring Operation: 84-51=33, Resulting Numbers: [33]
33,14 unequal: No Solution
Exploring Operation: 84+51=135, Resulting Numbers: [135]
135,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 14:[52, 83], Operations: ['92-8=84', '84-1=83']
Exploring Operation: 83-52=31, Resulting Numbers: [31]
31,14 unequal: No Solution
Exploring Operation: 52+83=135, Resulting Numbers: [135]
135,14 unequal: No Solution
Exploring Operation: 52*83=4316, Resulting Numbers: [4316]
4316,14 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: 14:[92, 1, 44], Operations: ['52-8=44']
Exploring Operation: 92-1=91, Resulting Numbers: [44, 91]
Generated Node #0,2,0: 14:[44, 91] Operation: 92-1=91
Exploring Operation: 92-44=48, Resulting Numbers: [1, 48]
Generated Node #0,2,1: 14:[1, 48] Operation: 92-44=48
Exploring Operation: 44-1=43, Resulting Numbers: [92, 43]
Generated Node #0,2,2: 14:[92, 43] Operation: 44-1=43
Moving to Node #0,2,1
Current State: 14:[1, 48], Operations: ['52-8=44', '92-44=48']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,14 unequal: No Solution
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 1*48=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Moving to Node #0,2,0
Current State: 14:[44, 91], Operations: ['52-8=44', '92-1=91']
Exploring Operation: 91-44=47, Resulting Numbers: [47]
47,14 unequal: No Solution
Exploring Operation: 44*91=4004, Resulting Numbers: [4004]
4004,14 unequal: No Solution
Exploring Operation: 44+91=135, Resulting Numbers: [135]
135,14 unequal: No Solution
Moving to Node #0,2,2
Current State: 14:[92, 43], Operations: ['52-8=44', '44-1=43']
Exploring Operation: 92*43=3956, Resulting Numbers: [3956]
3956,14 unequal: No Solution
Exploring Operation: 92-43=49, Resulting Numbers: [49]
49,14 unequal: No Solution
Exploring Operation: 92+43=135, Resulting Numbers: [135]
135,14 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
28,
21,
49,
63
] | 70 | [
"28-21=7",
"49/7=7",
"63+7=70"
] | Current State: 70:[28, 21, 49, 63], Operations: []
Exploring Operation: 28-21=7, Resulting Numbers: [49, 63, 7]
Generated Node #2: [49, 63, 7] from Operation: 28-21=7
Current State: 70:[49, 63, 7], Operations: ['28-21=7']
Exploring Operation: 49/7=7, Resulting Numbers: [63, 7]
Generated Node #3: [63, 7] from Operation: 49/7=7
Current State: 70:[63, 7], Operations: ['28-21=7', '49/7=7']
Exploring Operation: 63+7=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[28, 21, 49, 63], Operations: []
Exploring Operation: 21+49=70, Resulting Numbers: [28, 63, 70]
Generated Node #0,0: 70:[28, 63, 70] Operation: 21+49=70
Exploring Operation: 28+49=77, Resulting Numbers: [21, 63, 77]
Generated Node #0,1: 70:[21, 63, 77] Operation: 28+49=77
Exploring Operation: 28-21=7, Resulting Numbers: [49, 63, 7]
Generated Node #0,2: 70:[49, 63, 7] Operation: 28-21=7
Exploring Operation: 49-28=21, Resulting Numbers: [21, 63, 21]
Generated Node #0,3: 70:[21, 63, 21] Operation: 49-28=21
Exploring Operation: 63-49=14, Resulting Numbers: [28, 21, 14]
Generated Node #0,4: 70:[28, 21, 14] Operation: 63-49=14
Moving to Node #0,0
Current State: 70:[28, 63, 70], Operations: ['21+49=70']
Exploring Operation: 70-63=7, Resulting Numbers: [28, 7]
Generated Node #0,0,0: 70:[28, 7] Operation: 70-63=7
Exploring Operation: 63-28=35, Resulting Numbers: [70, 35]
Generated Node #0,0,1: 70:[70, 35] Operation: 63-28=35
Exploring Operation: 28+63=91, Resulting Numbers: [70, 91]
Generated Node #0,0,2: 70:[70, 91] Operation: 28+63=91
Exploring Operation: 28+70=98, Resulting Numbers: [63, 98]
Generated Node #0,0,3: 70:[63, 98] Operation: 28+70=98
Exploring Operation: 70-28=42, Resulting Numbers: [63, 42]
Generated Node #0,0,4: 70:[63, 42] Operation: 70-28=42
Moving to Node #0,4
Current State: 70:[28, 21, 14], Operations: ['63-49=14']
Exploring Operation: 28-21=7, Resulting Numbers: [14, 7]
Generated Node #0,4,0: 70:[14, 7] Operation: 28-21=7
Exploring Operation: 28-14=14, Resulting Numbers: [21, 14]
Generated Node #0,4,1: 70:[21, 14] Operation: 28-14=14
Exploring Operation: 21+14=35, Resulting Numbers: [28, 35]
Generated Node #0,4,2: 70:[28, 35] Operation: 21+14=35
Exploring Operation: 28/14=2, Resulting Numbers: [21, 2]
Generated Node #0,4,3: 70:[21, 2] Operation: 28/14=2
Exploring Operation: 21-14=7, Resulting Numbers: [28, 7]
Generated Node #0,4,4: 70:[28, 7] Operation: 21-14=7
Moving to Node #0,1
Current State: 70:[21, 63, 77], Operations: ['28+49=77']
Exploring Operation: 63/21=3, Resulting Numbers: [77, 3]
Generated Node #0,1,0: 70:[77, 3] Operation: 63/21=3
Exploring Operation: 21+63=84, Resulting Numbers: [77, 84]
Generated Node #0,1,1: 70:[77, 84] Operation: 21+63=84
Exploring Operation: 77-21=56, Resulting Numbers: [63, 56]
Generated Node #0,1,2: 70:[63, 56] Operation: 77-21=56
Exploring Operation: 77-63=14, Resulting Numbers: [21, 14]
Generated Node #0,1,3: 70:[21, 14] Operation: 77-63=14
Exploring Operation: 63-21=42, Resulting Numbers: [77, 42]
Generated Node #0,1,4: 70:[77, 42] Operation: 63-21=42
Moving to Node #0,2
Current State: 70:[49, 63, 7], Operations: ['28-21=7']
Exploring Operation: 63-49=14, Resulting Numbers: [7, 14]
Generated Node #0,2,0: 70:[7, 14] Operation: 63-49=14
Exploring Operation: 63+7=70, Resulting Numbers: [49, 70]
Generated Node #0,2,1: 70:[49, 70] Operation: 63+7=70
Exploring Operation: 49/7=7, Resulting Numbers: [63, 7]
Generated Node #0,2,2: 70:[63, 7] Operation: 49/7=7
Exploring Operation: 63/7=9, Resulting Numbers: [49, 9]
Generated Node #0,2,3: 70:[49, 9] Operation: 63/7=9
Exploring Operation: 49-7=42, Resulting Numbers: [63, 42]
Generated Node #0,2,4: 70:[63, 42] Operation: 49-7=42
Moving to Node #0,3
Current State: 70:[21, 63, 21], Operations: ['49-28=21']
Exploring Operation: 63/21=3, Resulting Numbers: [21, 3]
Generated Node #0,3,0: 70:[21, 3] Operation: 63/21=3
Exploring Operation: 21/21=1, Resulting Numbers: [63, 1]
Generated Node #0,3,1: 70:[63, 1] Operation: 21/21=1
Exploring Operation: 63-21=42, Resulting Numbers: [21, 42]
Generated Node #0,3,2: 70:[21, 42] Operation: 63-21=42
Exploring Operation: 63/21=3, Resulting Numbers: [21, 3]
Generated Node #0,3,3: 70:[21, 3] Operation: 63/21=3
Exploring Operation: 21-21=0, Resulting Numbers: [63, 0]
Generated Node #0,3,4: 70:[63, 0] Operation: 21-21=0
Moving to Node #0,0,1
Current State: 70:[70, 35], Operations: ['21+49=70', '63-28=35']
Exploring Operation: 70+35=105, Resulting Numbers: [105]
105,70 unequal: No Solution
Exploring Operation: 70*35=2450, Resulting Numbers: [2450]
2450,70 unequal: No Solution
Exploring Operation: 70-35=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Exploring Operation: 70/35=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Moving to Node #0,4,0
Current State: 70:[14, 7], Operations: ['63-49=14', '28-21=7']
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,70 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,70 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,70 unequal: No Solution
Moving to Node #0,2,0
Current State: 70:[7, 14], Operations: ['28-21=7', '63-49=14']
Exploring Operation: 7+14=21, Resulting Numbers: [21]
21,70 unequal: No Solution
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,70 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,70 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Moving to Node #0,4,1
Current State: 70:[21, 14], Operations: ['63-49=14', '28-14=14']
Exploring Operation: 21+14=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Exploring Operation: 21*14=294, Resulting Numbers: [294]
294,70 unequal: No Solution
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,70 unequal: No Solution
Moving to Node #0,4,4
Current State: 70:[28, 7], Operations: ['63-49=14', '21-14=7']
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,70 unequal: No Solution
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Exploring Operation: 28*7=196, Resulting Numbers: [196]
196,70 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Moving to Node #0,1,3
Current State: 70:[21, 14], Operations: ['28+49=77', '77-63=14']
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,70 unequal: No Solution
Exploring Operation: 21+14=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Exploring Operation: 21*14=294, Resulting Numbers: [294]
294,70 unequal: No Solution
Moving to Node #0,0,0
Current State: 70:[28, 7], Operations: ['21+49=70', '70-63=7']
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,70 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Exploring Operation: 28*7=196, Resulting Numbers: [196]
196,70 unequal: No Solution
Moving to Node #0,4,3
Current State: 70:[21, 2], Operations: ['63-49=14', '28/14=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,70 unequal: No Solution
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,70 unequal: No Solution
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Moving to Node #0,4,2
Current State: 70:[28, 35], Operations: ['63-49=14', '21+14=35']
Exploring Operation: 35-28=7, Resulting Numbers: [7]
7,70 unequal: No Solution
Exploring Operation: 28+35=63, Resulting Numbers: [63]
63,70 unequal: No Solution
Exploring Operation: 28*35=980, Resulting Numbers: [980]
980,70 unequal: No Solution
Moving to Node #0,2,2
Current State: 70:[63, 7], Operations: ['28-21=7', '49/7=7']
Exploring Operation: 63*7=441, Resulting Numbers: [441]
441,70 unequal: No Solution
Exploring Operation: 63+7=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[28, 21, 49, 63], Operations: []
Exploring Operation: 28-21=7, Resulting Numbers: [49, 63, 7]
Generated Node #0,2: 70:[49, 63, 7] Operation: 28-21=7
Moving to Node #0,2
Current State: 70:[49, 63, 7], Operations: ['28-21=7']
Exploring Operation: 49/7=7, Resulting Numbers: [63, 7]
Generated Node #0,2,2: 70:[63, 7] Operation: 49/7=7
Moving to Node #0,2,2
Current State: 70:[63, 7], Operations: ['28-21=7', '49/7=7']
Exploring Operation: 63+7=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 0.940972 | hs_5 | sum_heuristic |
[
14,
18,
64,
16
] | 14 | [
"14+18=32",
"64/32=2",
"16-2=14"
] | Current State: 14:[14, 18, 64, 16], Operations: []
Exploring Operation: 14+18=32, Resulting Numbers: [64, 16, 32]
Generated Node #2: [64, 16, 32] from Operation: 14+18=32
Current State: 14:[64, 16, 32], Operations: ['14+18=32']
Exploring Operation: 64/32=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 64/32=2
Current State: 14:[16, 2], Operations: ['14+18=32', '64/32=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[14, 18, 64, 16], Operations: []
Exploring Operation: 64-18=46, Resulting Numbers: [14, 16, 46]
Generated Node #0,0: 14:[14, 16, 46] Operation: 64-18=46
Exploring Operation: 64/16=4, Resulting Numbers: [14, 18, 4]
Generated Node #0,1: 14:[14, 18, 4] Operation: 64/16=4
Exploring Operation: 64-14=50, Resulting Numbers: [18, 16, 50]
Generated Node #0,2: 14:[18, 16, 50] Operation: 64-14=50
Exploring Operation: 64-16=48, Resulting Numbers: [14, 18, 48]
Generated Node #0,3: 14:[14, 18, 48] Operation: 64-16=48
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[14, 18, 4], Operations: ['64/16=4']
Exploring Operation: 14-4=10, Resulting Numbers: [18, 10]
Generated Node #0,1,0: 14:[18, 10] Operation: 14-4=10
Exploring Operation: 14+4=18, Resulting Numbers: [18, 18]
Generated Node #0,1,1: 14:[18, 18] Operation: 14+4=18
Exploring Operation: 18-14=4, Resulting Numbers: [4, 4]
Generated Node #0,1,2: 14:[4, 4] Operation: 18-14=4
Exploring Operation: 18-4=14, Resulting Numbers: [14, 14]
Generated Node #0,1,3: 14:[14, 14] Operation: 18-4=14
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 14:[14, 14], Operations: ['64/16=4', '18-4=14']
Exploring Operation: 14+14=28, Resulting Numbers: [28]
28,14 unequal: No Solution
Exploring Operation: 14*14=196, Resulting Numbers: [196]
196,14 unequal: No Solution
Exploring Operation: 14-14=0, Resulting Numbers: [0]
0,14 unequal: No Solution
Exploring Operation: 14/14=1, Resulting Numbers: [1]
1,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 14:[4, 4], Operations: ['64/16=4', '18-14=4']
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,14 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,14 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 14:[18, 10], Operations: ['64/16=4', '14-4=10']
Exploring Operation: 18*10=180, Resulting Numbers: [180]
180,14 unequal: No Solution
Exploring Operation: 18+10=28, Resulting Numbers: [28]
28,14 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 14:[18, 18], Operations: ['64/16=4', '14+4=18']
Exploring Operation: 18*18=324, Resulting Numbers: [324]
324,14 unequal: No Solution
Exploring Operation: 18+18=36, Resulting Numbers: [36]
36,14 unequal: No Solution
Exploring Operation: 18-18=0, Resulting Numbers: [0]
0,14 unequal: No Solution
Exploring Operation: 18/18=1, Resulting Numbers: [1]
1,14 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[14, 16, 46], Operations: ['64-18=46']
Exploring Operation: 46-14=32, Resulting Numbers: [16, 32]
Generated Node #0,0,0: 14:[16, 32] Operation: 46-14=32
Exploring Operation: 46-16=30, Resulting Numbers: [14, 30]
Generated Node #0,0,1: 14:[14, 30] Operation: 46-16=30
Exploring Operation: 14+16=30, Resulting Numbers: [46, 30]
Generated Node #0,0,2: 14:[46, 30] Operation: 14+16=30
Exploring Operation: 16-14=2, Resulting Numbers: [46, 2]
Generated Node #0,0,3: 14:[46, 2] Operation: 16-14=2
Moving to Node #0,0,1
Current State: 14:[14, 30], Operations: ['64-18=46', '46-16=30']
Exploring Operation: 14+30=44, Resulting Numbers: [44]
44,14 unequal: No Solution
Exploring Operation: 14*30=420, Resulting Numbers: [420]
420,14 unequal: No Solution
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Moving to Node #0,0,0
Current State: 14:[16, 32], Operations: ['64-18=46', '46-14=32']
Exploring Operation: 16*32=512, Resulting Numbers: [512]
512,14 unequal: No Solution
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 16+32=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Moving to Node #0,0,3
Current State: 14:[46, 2], Operations: ['64-18=46', '16-14=2']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,14 unequal: No Solution
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,14 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,14 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Moving to Node #0,0,2
Current State: 14:[46, 30], Operations: ['64-18=46', '14+16=30']
Exploring Operation: 46*30=1380, Resulting Numbers: [1380]
1380,14 unequal: No Solution
Exploring Operation: 46-30=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 46+30=76, Resulting Numbers: [76]
76,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 14:[14, 18, 48], Operations: ['64-16=48']
Exploring Operation: 48-14=34, Resulting Numbers: [18, 34]
Generated Node #0,3,0: 14:[18, 34] Operation: 48-14=34
Exploring Operation: 14+18=32, Resulting Numbers: [48, 32]
Generated Node #0,3,1: 14:[48, 32] Operation: 14+18=32
Exploring Operation: 18-14=4, Resulting Numbers: [48, 4]
Generated Node #0,3,2: 14:[48, 4] Operation: 18-14=4
Exploring Operation: 48-18=30, Resulting Numbers: [14, 30]
Generated Node #0,3,3: 14:[14, 30] Operation: 48-18=30
Moving to Node #0,3,3
Current State: 14:[14, 30], Operations: ['64-16=48', '48-18=30']
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 14+30=44, Resulting Numbers: [44]
44,14 unequal: No Solution
Exploring Operation: 14*30=420, Resulting Numbers: [420]
420,14 unequal: No Solution
Moving to Node #0,3,0
Current State: 14:[18, 34], Operations: ['64-16=48', '48-14=34']
Exploring Operation: 18*34=612, Resulting Numbers: [612]
612,14 unequal: No Solution
Exploring Operation: 18+34=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Moving to Node #0,3,2
Current State: 14:[48, 4], Operations: ['64-16=48', '18-14=4']
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,14 unequal: No Solution
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,14 unequal: No Solution
Exploring Operation: 48*4=192, Resulting Numbers: [192]
192,14 unequal: No Solution
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Moving to Node #0,3,1
Current State: 14:[48, 32], Operations: ['64-16=48', '14+18=32']
Exploring Operation: 48*32=1536, Resulting Numbers: [1536]
1536,14 unequal: No Solution
Exploring Operation: 48-32=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 48+32=80, Resulting Numbers: [80]
80,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 14:[18, 16, 50], Operations: ['64-14=50']
Exploring Operation: 18-16=2, Resulting Numbers: [50, 2]
Generated Node #0,2,0: 14:[50, 2] Operation: 18-16=2
Exploring Operation: 50-16=34, Resulting Numbers: [18, 34]
Generated Node #0,2,1: 14:[18, 34] Operation: 50-16=34
Exploring Operation: 50-18=32, Resulting Numbers: [16, 32]
Generated Node #0,2,2: 14:[16, 32] Operation: 50-18=32
Exploring Operation: 18+16=34, Resulting Numbers: [50, 34]
Generated Node #0,2,3: 14:[50, 34] Operation: 18+16=34
Moving to Node #0,2,2
Current State: 14:[16, 32], Operations: ['64-14=50', '50-18=32']
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 16+32=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 16*32=512, Resulting Numbers: [512]
512,14 unequal: No Solution
Moving to Node #0,2,1
Current State: 14:[18, 34], Operations: ['64-14=50', '50-16=34']
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 18+34=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 18*34=612, Resulting Numbers: [612]
612,14 unequal: No Solution
Moving to Node #0,2,0
Current State: 14:[50, 2], Operations: ['64-14=50', '18-16=2']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,14 unequal: No Solution
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,14 unequal: No Solution
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,14 unequal: No Solution
Moving to Node #0,2,3
Current State: 14:[50, 34], Operations: ['64-14=50', '18+16=34']
Exploring Operation: 50+34=84, Resulting Numbers: [84]
84,14 unequal: No Solution
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,14 unequal: No Solution
Exploring Operation: 50*34=1700, Resulting Numbers: [1700]
1700,14 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 |
[
79,
71,
28,
48
] | 74 | [
"79+71=150",
"28+48=76",
"150-76=74"
] | Current State: 74:[79, 71, 28, 48], Operations: []
Exploring Operation: 79+71=150, Resulting Numbers: [28, 48, 150]
Generated Node #2: [28, 48, 150] from Operation: 79+71=150
Current State: 74:[28, 48, 150], Operations: ['79+71=150']
Exploring Operation: 28+48=76, Resulting Numbers: [150, 76]
Generated Node #3: [150, 76] from Operation: 28+48=76
Current State: 74:[150, 76], Operations: ['79+71=150', '28+48=76']
Exploring Operation: 150-76=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[79, 71, 28, 48], Operations: []
Exploring Operation: 48-28=20, Resulting Numbers: [79, 71, 20]
Generated Node #0,0: 74:[79, 71, 20] Operation: 48-28=20
Exploring Operation: 79-48=31, Resulting Numbers: [71, 28, 31]
Generated Node #0,1: 74:[71, 28, 31] Operation: 79-48=31
Exploring Operation: 71-28=43, Resulting Numbers: [79, 48, 43]
Generated Node #0,2: 74:[79, 48, 43] Operation: 71-28=43
Exploring Operation: 28+48=76, Resulting Numbers: [79, 71, 76]
Generated Node #0,3: 74:[79, 71, 76] Operation: 28+48=76
Moving to Node #0,3
Current State: 74:[79, 71, 76], Operations: ['28+48=76']
Exploring Operation: 79-76=3, Resulting Numbers: [71, 3]
Generated Node #0,3,0: 74:[71, 3] Operation: 79-76=3
Exploring Operation: 79-71=8, Resulting Numbers: [76, 8]
Generated Node #0,3,1: 74:[76, 8] Operation: 79-71=8
Exploring Operation: 76-71=5, Resulting Numbers: [79, 5]
Generated Node #0,3,2: 74:[79, 5] Operation: 76-71=5
Exploring Operation: 79+71=150, Resulting Numbers: [76, 150]
Generated Node #0,3,3: 74:[76, 150] Operation: 79+71=150
Moving to Node #0,1
Current State: 74:[71, 28, 31], Operations: ['79-48=31']
Exploring Operation: 71-31=40, Resulting Numbers: [28, 40]
Generated Node #0,1,0: 74:[28, 40] Operation: 71-31=40
Exploring Operation: 71-28=43, Resulting Numbers: [31, 43]
Generated Node #0,1,1: 74:[31, 43] Operation: 71-28=43
Exploring Operation: 31-28=3, Resulting Numbers: [71, 3]
Generated Node #0,1,2: 74:[71, 3] Operation: 31-28=3
Exploring Operation: 28+31=59, Resulting Numbers: [71, 59]
Generated Node #0,1,3: 74:[71, 59] Operation: 28+31=59
Moving to Node #0,2
Current State: 74:[79, 48, 43], Operations: ['71-28=43']
Exploring Operation: 48+43=91, Resulting Numbers: [79, 91]
Generated Node #0,2,0: 74:[79, 91] Operation: 48+43=91
Exploring Operation: 79-43=36, Resulting Numbers: [48, 36]
Generated Node #0,2,1: 74:[48, 36] Operation: 79-43=36
Exploring Operation: 48-43=5, Resulting Numbers: [79, 5]
Generated Node #0,2,2: 74:[79, 5] Operation: 48-43=5
Exploring Operation: 79-48=31, Resulting Numbers: [43, 31]
Generated Node #0,2,3: 74:[43, 31] Operation: 79-48=31
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 74:[79, 5], Operations: ['71-28=43', '48-43=5']
Exploring Operation: 79*5=395, Resulting Numbers: [395]
395,74 unequal: No Solution
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[79, 71, 28, 48], Operations: []
Exploring Operation: 71-28=43, Resulting Numbers: [79, 48, 43]
Generated Node #0,2: 74:[79, 48, 43] Operation: 71-28=43
Moving to Node #0,2
Current State: 74:[79, 48, 43], Operations: ['71-28=43']
Exploring Operation: 48-43=5, Resulting Numbers: [79, 5]
Generated Node #0,2,2: 74:[79, 5] Operation: 48-43=5
Moving to Node #0,2,2
Current State: 74:[79, 5], Operations: ['71-28=43', '48-43=5']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_4 | sum_heuristic |
[
18,
40,
34,
5
] | 97 | [
"18+40=58",
"34+5=39",
"58+39=97"
] | Current State: 97:[18, 40, 34, 5], Operations: []
Exploring Operation: 18+40=58, Resulting Numbers: [34, 5, 58]
Generated Node #2: [34, 5, 58] from Operation: 18+40=58
Current State: 97:[34, 5, 58], Operations: ['18+40=58']
Exploring Operation: 34+5=39, Resulting Numbers: [58, 39]
Generated Node #3: [58, 39] from Operation: 34+5=39
Current State: 97:[58, 39], Operations: ['18+40=58', '34+5=39']
Exploring Operation: 58+39=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[18, 40, 34, 5], Operations: []
Exploring Operation: 18+34=52, Resulting Numbers: [40, 5, 52]
Generated Node #0,0: 97:[40, 5, 52] Operation: 18+34=52
Exploring Operation: 18*5=90, Resulting Numbers: [40, 34, 90]
Generated Node #0,1: 97:[40, 34, 90] Operation: 18*5=90
Exploring Operation: 18+40=58, Resulting Numbers: [34, 5, 58]
Generated Node #0,2: 97:[34, 5, 58] Operation: 18+40=58
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[40, 34, 90], Operations: ['18*5=90']
Exploring Operation: 40+34=74, Resulting Numbers: [90, 74]
Generated Node #0,1,0: 97:[90, 74] Operation: 40+34=74
Exploring Operation: 34+90=124, Resulting Numbers: [40, 124]
Generated Node #0,1,1: 97:[40, 124] Operation: 34+90=124
Exploring Operation: 40+90=130, Resulting Numbers: [34, 130]
Generated Node #0,1,2: 97:[34, 130] Operation: 40+90=130
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 97:[90, 74], Operations: ['18*5=90', '40+34=74']
Exploring Operation: 90*74=6660, Resulting Numbers: [6660]
6660,97 unequal: No Solution
Exploring Operation: 90-74=16, Resulting Numbers: [16]
16,97 unequal: No Solution
Exploring Operation: 90+74=164, Resulting Numbers: [164]
164,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 97:[40, 124], Operations: ['18*5=90', '34+90=124']
Exploring Operation: 40+124=164, Resulting Numbers: [164]
164,97 unequal: No Solution
Exploring Operation: 124-40=84, Resulting Numbers: [84]
84,97 unequal: No Solution
Exploring Operation: 40*124=4960, Resulting Numbers: [4960]
4960,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 97:[34, 130], Operations: ['18*5=90', '40+90=130']
Exploring Operation: 34+130=164, Resulting Numbers: [164]
164,97 unequal: No Solution
Exploring Operation: 34*130=4420, Resulting Numbers: [4420]
4420,97 unequal: No Solution
Exploring Operation: 130-34=96, Resulting Numbers: [96]
96,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[40, 5, 52], Operations: ['18+34=52']
Exploring Operation: 40+52=92, Resulting Numbers: [5, 92]
Generated Node #0,0,0: 97:[5, 92] Operation: 40+52=92
Exploring Operation: 5+52=57, Resulting Numbers: [40, 57]
Generated Node #0,0,1: 97:[40, 57] Operation: 5+52=57
Exploring Operation: 40+5=45, Resulting Numbers: [52, 45]
Generated Node #0,0,2: 97:[52, 45] Operation: 40+5=45
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[5, 92], Operations: ['18+34=52', '40+52=92']
Exploring Operation: 5+92=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[18, 40, 34, 5], Operations: []
Exploring Operation: 18+34=52, Resulting Numbers: [40, 5, 52]
Generated Node #0,0: 97:[40, 5, 52] Operation: 18+34=52
Moving to Node #0,0
Current State: 97:[40, 5, 52], Operations: ['18+34=52']
Exploring Operation: 40+52=92, Resulting Numbers: [5, 92]
Generated Node #0,0,0: 97:[5, 92] Operation: 40+52=92
Moving to Node #0,0,0
Current State: 97:[5, 92], Operations: ['18+34=52', '40+52=92']
Exploring Operation: 5+92=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
22,
71,
61,
99
] | 87 | [
"71-22=49",
"99-61=38",
"49+38=87"
] | Current State: 87:[22, 71, 61, 99], Operations: []
Exploring Operation: 71-22=49, Resulting Numbers: [61, 99, 49]
Generated Node #2: [61, 99, 49] from Operation: 71-22=49
Current State: 87:[61, 99, 49], Operations: ['71-22=49']
Exploring Operation: 99-61=38, Resulting Numbers: [49, 38]
Generated Node #3: [49, 38] from Operation: 99-61=38
Current State: 87:[49, 38], Operations: ['71-22=49', '99-61=38']
Exploring Operation: 49+38=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[22, 71, 61, 99], Operations: []
Exploring Operation: 99-61=38, Resulting Numbers: [22, 71, 38]
Generated Node #0,0: 87:[22, 71, 38] Operation: 99-61=38
Exploring Operation: 22+61=83, Resulting Numbers: [71, 99, 83]
Generated Node #0,1: 87:[71, 99, 83] Operation: 22+61=83
Exploring Operation: 71-61=10, Resulting Numbers: [22, 99, 10]
Generated Node #0,2: 87:[22, 99, 10] Operation: 71-61=10
Moving to Node #0,2
Current State: 87:[22, 99, 10], Operations: ['71-61=10']
Exploring Operation: 22+10=32, Resulting Numbers: [99, 32]
Generated Node #0,2,0: 87:[99, 32] Operation: 22+10=32
Exploring Operation: 99-22=77, Resulting Numbers: [10, 77]
Generated Node #0,2,1: 87:[10, 77] Operation: 99-22=77
Exploring Operation: 99-10=89, Resulting Numbers: [22, 89]
Generated Node #0,2,2: 87:[22, 89] Operation: 99-10=89
Moving to Node #0,0
Current State: 87:[22, 71, 38], Operations: ['99-61=38']
Exploring Operation: 71-22=49, Resulting Numbers: [38, 49]
Generated Node #0,0,0: 87:[38, 49] Operation: 71-22=49
Exploring Operation: 22+71=93, Resulting Numbers: [38, 93]
Generated Node #0,0,1: 87:[38, 93] Operation: 22+71=93
Exploring Operation: 71-38=33, Resulting Numbers: [22, 33]
Generated Node #0,0,2: 87:[22, 33] Operation: 71-38=33
Moving to Node #0,1
Current State: 87:[71, 99, 83], Operations: ['22+61=83']
Exploring Operation: 99-83=16, Resulting Numbers: [71, 16]
Generated Node #0,1,0: 87:[71, 16] Operation: 99-83=16
Exploring Operation: 99-71=28, Resulting Numbers: [83, 28]
Generated Node #0,1,1: 87:[83, 28] Operation: 99-71=28
Exploring Operation: 83-71=12, Resulting Numbers: [99, 12]
Generated Node #0,1,2: 87:[99, 12] Operation: 83-71=12
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 87:[83, 28], Operations: ['22+61=83', '99-71=28']
Exploring Operation: 83-28=55, Resulting Numbers: [55]
55,87 unequal: No Solution
Exploring Operation: 83*28=2324, Resulting Numbers: [2324]
2324,87 unequal: No Solution
Exploring Operation: 83+28=111, Resulting Numbers: [111]
111,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 87:[99, 12], Operations: ['22+61=83', '83-71=12']
Exploring Operation: 99-12=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[22, 71, 61, 99], Operations: []
Exploring Operation: 22+61=83, Resulting Numbers: [71, 99, 83]
Generated Node #0,1: 87:[71, 99, 83] Operation: 22+61=83
Moving to Node #0,1
Current State: 87:[71, 99, 83], Operations: ['22+61=83']
Exploring Operation: 83-71=12, Resulting Numbers: [99, 12]
Generated Node #0,1,2: 87:[99, 12] Operation: 83-71=12
Moving to Node #0,1,2
Current State: 87:[99, 12], Operations: ['22+61=83', '83-71=12']
Exploring Operation: 99-12=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_3 | sum_heuristic |
[
52,
75,
74,
81
] | 28 | [
"52+75=127",
"74+81=155",
"155-127=28"
] | Current State: 28:[52, 75, 74, 81], Operations: []
Exploring Operation: 52+75=127, Resulting Numbers: [74, 81, 127]
Generated Node #2: [74, 81, 127] from Operation: 52+75=127
Current State: 28:[74, 81, 127], Operations: ['52+75=127']
Exploring Operation: 74+81=155, Resulting Numbers: [127, 155]
Generated Node #3: [127, 155] from Operation: 74+81=155
Current State: 28:[127, 155], Operations: ['52+75=127', '74+81=155']
Exploring Operation: 155-127=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[52, 75, 74, 81], Operations: []
Exploring Operation: 81-74=7, Resulting Numbers: [52, 75, 7]
Generated Node #0,0: 28:[52, 75, 7] Operation: 81-74=7
Exploring Operation: 81-75=6, Resulting Numbers: [52, 74, 6]
Generated Node #0,1: 28:[52, 74, 6] Operation: 81-75=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[52, 75, 7], Operations: ['81-74=7']
Exploring Operation: 75-52=23, Resulting Numbers: [7, 23]
Generated Node #0,0,0: 28:[7, 23] Operation: 75-52=23
Exploring Operation: 52-7=45, Resulting Numbers: [75, 45]
Generated Node #0,0,1: 28:[75, 45] Operation: 52-7=45
Moving to Node #0,0,0
Current State: 28:[7, 23], Operations: ['81-74=7', '75-52=23']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,28 unequal: No Solution
Exploring Operation: 7+23=30, Resulting Numbers: [30]
30,28 unequal: No Solution
Moving to Node #0,0,1
Current State: 28:[75, 45], Operations: ['81-74=7', '52-7=45']
Exploring Operation: 75-45=30, Resulting Numbers: [30]
30,28 unequal: No Solution
Exploring Operation: 75+45=120, Resulting Numbers: [120]
120,28 unequal: No Solution
No 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:[52, 74, 6], Operations: ['81-75=6']
Exploring Operation: 74-52=22, Resulting Numbers: [6, 22]
Generated Node #0,1,0: 28:[6, 22] Operation: 74-52=22
Exploring Operation: 52-6=46, Resulting Numbers: [74, 46]
Generated Node #0,1,1: 28:[74, 46] Operation: 52-6=46
Moving to Node #0,1,0
Current State: 28:[6, 22], Operations: ['81-75=6', '74-52=22']
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[52, 75, 74, 81], Operations: []
Exploring Operation: 81-75=6, Resulting Numbers: [52, 74, 6]
Generated Node #0,1: 28:[52, 74, 6] Operation: 81-75=6
Moving to Node #0,1
Current State: 28:[52, 74, 6], Operations: ['81-75=6']
Exploring Operation: 74-52=22, Resulting Numbers: [6, 22]
Generated Node #0,1,0: 28:[6, 22] Operation: 74-52=22
Moving to Node #0,1,0
Current State: 28:[6, 22], Operations: ['81-75=6', '74-52=22']
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
80,
81,
78,
10
] | 87 | [
"81-80=1",
"78+10=88",
"88-1=87"
] | Current State: 87:[80, 81, 78, 10], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [78, 10, 1]
Generated Node #2: [78, 10, 1] from Operation: 81-80=1
Current State: 87:[78, 10, 1], Operations: ['81-80=1']
Exploring Operation: 78+10=88, Resulting Numbers: [1, 88]
Generated Node #3: [1, 88] from Operation: 78+10=88
Current State: 87:[1, 88], Operations: ['81-80=1', '78+10=88']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[80, 81, 78, 10], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [81, 10, 2]
Generated Node #0,0: 87:[81, 10, 2] Operation: 80-78=2
Moving to Node #0,0
Current State: 87:[81, 10, 2], Operations: ['80-78=2']
Exploring Operation: 81+10=91, Resulting Numbers: [2, 91]
Generated Node #0,0,0: 87:[2, 91] Operation: 81+10=91
Moving to Node #0,0,0
Current State: 87:[2, 91], Operations: ['80-78=2', '81+10=91']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,87 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
7,
65,
63,
39
] | 53 | [
"65-63=2",
"7*2=14",
"39+14=53"
] | Current State: 53:[7, 65, 63, 39], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [7, 39, 2]
Generated Node #2: [7, 39, 2] from Operation: 65-63=2
Current State: 53:[7, 39, 2], Operations: ['65-63=2']
Exploring Operation: 7*2=14, Resulting Numbers: [39, 14]
Generated Node #3: [39, 14] from Operation: 7*2=14
Current State: 53:[39, 14], Operations: ['65-63=2', '7*2=14']
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[7, 65, 63, 39], Operations: []
Exploring Operation: 65-7=58, Resulting Numbers: [63, 39, 58]
Generated Node #0,0: 53:[63, 39, 58] Operation: 65-7=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[63, 39, 58], Operations: ['65-7=58']
Exploring Operation: 63-39=24, Resulting Numbers: [58, 24]
Generated Node #0,0,0: 53:[58, 24] Operation: 63-39=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 53:[58, 24], Operations: ['65-7=58', '63-39=24']
Exploring Operation: 58-24=34, Resulting Numbers: [34]
34,53 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 |
[
5,
15,
70,
43
] | 24 | [
"15/5=3",
"70-43=27",
"27-3=24"
] | Current State: 24:[5, 15, 70, 43], Operations: []
Exploring Operation: 15/5=3, Resulting Numbers: [70, 43, 3]
Generated Node #2: [70, 43, 3] from Operation: 15/5=3
Current State: 24:[70, 43, 3], Operations: ['15/5=3']
Exploring Operation: 70-43=27, Resulting Numbers: [3, 27]
Generated Node #3: [3, 27] from Operation: 70-43=27
Current State: 24:[3, 27], Operations: ['15/5=3', '70-43=27']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[5, 15, 70, 43], Operations: []
Exploring Operation: 70-15=55, Resulting Numbers: [5, 43, 55]
Generated Node #0,0: 24:[5, 43, 55] Operation: 70-15=55
Exploring Operation: 43-15=28, Resulting Numbers: [5, 70, 28]
Generated Node #0,1: 24:[5, 70, 28] Operation: 43-15=28
Exploring Operation: 70-5=65, Resulting Numbers: [15, 43, 65]
Generated Node #0,2: 24:[15, 43, 65] Operation: 70-5=65
Exploring Operation: 70-43=27, Resulting Numbers: [5, 15, 27]
Generated Node #0,3: 24:[5, 15, 27] Operation: 70-43=27
Exploring Operation: 70/5=14, Resulting Numbers: [15, 43, 14]
Generated Node #0,4: 24:[15, 43, 14] Operation: 70/5=14
Start Sub Search at level 1: Moving to Node #0,3
Current State: 24:[5, 15, 27], Operations: ['70-43=27']
Exploring Operation: 15-5=10, Resulting Numbers: [27, 10]
Generated Node #0,3,0: 24:[27, 10] Operation: 15-5=10
Exploring Operation: 15/5=3, Resulting Numbers: [27, 3]
Generated Node #0,3,1: 24:[27, 3] Operation: 15/5=3
Exploring Operation: 5+15=20, Resulting Numbers: [27, 20]
Generated Node #0,3,2: 24:[27, 20] Operation: 5+15=20
Exploring Operation: 27-15=12, Resulting Numbers: [5, 12]
Generated Node #0,3,3: 24:[5, 12] Operation: 27-15=12
Exploring Operation: 27-5=22, Resulting Numbers: [15, 22]
Generated Node #0,3,4: 24:[15, 22] Operation: 27-5=22
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 24:[5, 12], Operations: ['70-43=27', '27-15=12']
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,24 unequal: No Solution
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,24 unequal: No Solution
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,24 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 #0,3,1
Current State: 24:[27, 3], Operations: ['70-43=27', '15/5=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,24 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[5, 15, 70, 43], Operations: []
Exploring Operation: 70-43=27, Resulting Numbers: [5, 15, 27]
Generated Node #0,3: 24:[5, 15, 27] Operation: 70-43=27
Moving to Node #0,3
Current State: 24:[5, 15, 27], Operations: ['70-43=27']
Exploring Operation: 15/5=3, Resulting Numbers: [27, 3]
Generated Node #0,3,1: 24:[27, 3] Operation: 15/5=3
Moving to Node #0,3,1
Current State: 24:[27, 3], Operations: ['70-43=27', '15/5=3']
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
60,
75,
14,
66
] | 83 | [
"60+75=135",
"66-14=52",
"135-52=83"
] | Current State: 83:[60, 75, 14, 66], Operations: []
Exploring Operation: 60+75=135, Resulting Numbers: [14, 66, 135]
Generated Node #2: [14, 66, 135] from Operation: 60+75=135
Current State: 83:[14, 66, 135], Operations: ['60+75=135']
Exploring Operation: 66-14=52, Resulting Numbers: [135, 52]
Generated Node #3: [135, 52] from Operation: 66-14=52
Current State: 83:[135, 52], Operations: ['60+75=135', '66-14=52']
Exploring Operation: 135-52=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[60, 75, 14, 66], Operations: []
Exploring Operation: 60+14=74, Resulting Numbers: [75, 66, 74]
Generated Node #0,0: 83:[75, 66, 74] Operation: 60+14=74
Exploring Operation: 14+66=80, Resulting Numbers: [60, 75, 80]
Generated Node #0,1: 83:[60, 75, 80] Operation: 14+66=80
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[75, 66, 74], Operations: ['60+14=74']
Exploring Operation: 66+74=140, Resulting Numbers: [75, 140]
Generated Node #0,0,0: 83:[75, 140] Operation: 66+74=140
Exploring Operation: 75+66=141, Resulting Numbers: [74, 141]
Generated Node #0,0,1: 83:[74, 141] Operation: 75+66=141
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[75, 140], Operations: ['60+14=74', '66+74=140']
Exploring Operation: 140-75=65, Resulting Numbers: [65]
65,83 unequal: No Solution
Exploring Operation: 75+140=215, Resulting Numbers: [215]
215,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[74, 141], Operations: ['60+14=74', '75+66=141']
Exploring Operation: 141-74=67, Resulting Numbers: [67]
67,83 unequal: No Solution
Exploring Operation: 74+141=215, Resulting Numbers: [215]
215,83 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:[60, 75, 80], Operations: ['14+66=80']
Exploring Operation: 60+80=140, Resulting Numbers: [75, 140]
Generated Node #0,1,0: 83:[75, 140] Operation: 60+80=140
Exploring Operation: 60+75=135, Resulting Numbers: [80, 135]
Generated Node #0,1,1: 83:[80, 135] Operation: 60+75=135
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[80, 135], Operations: ['14+66=80', '60+75=135']
Exploring Operation: 80+135=215, Resulting Numbers: [215]
215,83 unequal: No Solution
Exploring Operation: 135-80=55, Resulting Numbers: [55]
55,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[75, 140], Operations: ['14+66=80', '60+80=140']
Exploring Operation: 140-75=65, Resulting Numbers: [65]
65,83 unequal: No Solution
Exploring Operation: 75+140=215, Resulting Numbers: [215]
215,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
21,
92,
90,
7
] | 35 | [
"21*7=147",
"92+90=182",
"182-147=35"
] | Current State: 35:[21, 92, 90, 7], Operations: []
Exploring Operation: 21*7=147, Resulting Numbers: [92, 90, 147]
Generated Node #2: [92, 90, 147] from Operation: 21*7=147
Current State: 35:[92, 90, 147], Operations: ['21*7=147']
Exploring Operation: 92+90=182, Resulting Numbers: [147, 182]
Generated Node #3: [147, 182] from Operation: 92+90=182
Current State: 35:[147, 182], Operations: ['21*7=147', '92+90=182']
Exploring Operation: 182-147=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[21, 92, 90, 7], Operations: []
Exploring Operation: 21/7=3, Resulting Numbers: [92, 90, 3]
Generated Node #0,0: 35:[92, 90, 3] Operation: 21/7=3
Exploring Operation: 90-21=69, Resulting Numbers: [92, 7, 69]
Generated Node #0,1: 35:[92, 7, 69] Operation: 90-21=69
Exploring Operation: 92-21=71, Resulting Numbers: [90, 7, 71]
Generated Node #0,2: 35:[90, 7, 71] Operation: 92-21=71
Exploring Operation: 92-90=2, Resulting Numbers: [21, 7, 2]
Generated Node #0,3: 35:[21, 7, 2] Operation: 92-90=2
Start Sub Search at level 1: Moving to Node #0,3
Current State: 35:[21, 7, 2], Operations: ['92-90=2']
Exploring Operation: 21+7=28, Resulting Numbers: [2, 28]
Generated Node #0,3,0: 35:[2, 28] Operation: 21+7=28
Exploring Operation: 21*2=42, Resulting Numbers: [7, 42]
Generated Node #0,3,1: 35:[7, 42] Operation: 21*2=42
Exploring Operation: 21-7=14, Resulting Numbers: [2, 14]
Generated Node #0,3,2: 35:[2, 14] Operation: 21-7=14
Exploring Operation: 21/7=3, Resulting Numbers: [2, 3]
Generated Node #0,3,3: 35:[2, 3] Operation: 21/7=3
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 35:[2, 3], Operations: ['92-90=2', '21/7=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,35 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 35:[7, 42], Operations: ['92-90=2', '21*2=42']
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[21, 92, 90, 7], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [21, 7, 2]
Generated Node #0,3: 35:[21, 7, 2] Operation: 92-90=2
Moving to Node #0,3
Current State: 35:[21, 7, 2], Operations: ['92-90=2']
Exploring Operation: 21*2=42, Resulting Numbers: [7, 42]
Generated Node #0,3,1: 35:[7, 42] Operation: 21*2=42
Moving to Node #0,3,1
Current State: 35:[7, 42], Operations: ['92-90=2', '21*2=42']
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
12,
15,
9,
55
] | 68 | [
"12*9=108",
"55-15=40",
"108-40=68"
] | Current State: 68:[12, 15, 9, 55], Operations: []
Exploring Operation: 12*9=108, Resulting Numbers: [15, 55, 108]
Generated Node #2: [15, 55, 108] from Operation: 12*9=108
Current State: 68:[15, 55, 108], Operations: ['12*9=108']
Exploring Operation: 55-15=40, Resulting Numbers: [108, 40]
Generated Node #3: [108, 40] from Operation: 55-15=40
Current State: 68:[108, 40], Operations: ['12*9=108', '55-15=40']
Exploring Operation: 108-40=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[12, 15, 9, 55], Operations: []
Exploring Operation: 12-9=3, Resulting Numbers: [15, 55, 3]
Generated Node #0,0: 68:[15, 55, 3] Operation: 12-9=3
Exploring Operation: 55-12=43, Resulting Numbers: [15, 9, 43]
Generated Node #0,1: 68:[15, 9, 43] Operation: 55-12=43
Exploring Operation: 9+55=64, Resulting Numbers: [12, 15, 64]
Generated Node #0,2: 68:[12, 15, 64] Operation: 9+55=64
Exploring Operation: 12+55=67, Resulting Numbers: [15, 9, 67]
Generated Node #0,3: 68:[15, 9, 67] Operation: 12+55=67
Exploring Operation: 15+55=70, Resulting Numbers: [12, 9, 70]
Generated Node #0,4: 68:[12, 9, 70] Operation: 15+55=70
Moving to Node #0,3
Current State: 68:[15, 9, 67], Operations: ['12+55=67']
Exploring Operation: 15-9=6, Resulting Numbers: [67, 6]
Generated Node #0,3,0: 68:[67, 6] Operation: 15-9=6
Exploring Operation: 9+67=76, Resulting Numbers: [15, 76]
Generated Node #0,3,1: 68:[15, 76] Operation: 9+67=76
Exploring Operation: 15+67=82, Resulting Numbers: [9, 82]
Generated Node #0,3,2: 68:[9, 82] Operation: 15+67=82
Exploring Operation: 67-9=58, Resulting Numbers: [15, 58]
Generated Node #0,3,3: 68:[15, 58] Operation: 67-9=58
Exploring Operation: 15+9=24, Resulting Numbers: [67, 24]
Generated Node #0,3,4: 68:[67, 24] Operation: 15+9=24
Moving to Node #0,2
Current State: 68:[12, 15, 64], Operations: ['9+55=64']
Exploring Operation: 64-12=52, Resulting Numbers: [15, 52]
Generated Node #0,2,0: 68:[15, 52] Operation: 64-12=52
Exploring Operation: 15-12=3, Resulting Numbers: [64, 3]
Generated Node #0,2,1: 68:[64, 3] Operation: 15-12=3
Exploring Operation: 12+64=76, Resulting Numbers: [15, 76]
Generated Node #0,2,2: 68:[15, 76] Operation: 12+64=76
Exploring Operation: 15+64=79, Resulting Numbers: [12, 79]
Generated Node #0,2,3: 68:[12, 79] Operation: 15+64=79
Exploring Operation: 12+15=27, Resulting Numbers: [64, 27]
Generated Node #0,2,4: 68:[64, 27] Operation: 12+15=27
Moving to Node #0,4
Current State: 68:[12, 9, 70], Operations: ['15+55=70']
Exploring Operation: 70-9=61, Resulting Numbers: [12, 61]
Generated Node #0,4,0: 68:[12, 61] Operation: 70-9=61
Exploring Operation: 12+9=21, Resulting Numbers: [70, 21]
Generated Node #0,4,1: 68:[70, 21] Operation: 12+9=21
Exploring Operation: 9+70=79, Resulting Numbers: [12, 79]
Generated Node #0,4,2: 68:[12, 79] Operation: 9+70=79
Exploring Operation: 12-9=3, Resulting Numbers: [70, 3]
Generated Node #0,4,3: 68:[70, 3] Operation: 12-9=3
Exploring Operation: 70-12=58, Resulting Numbers: [9, 58]
Generated Node #0,4,4: 68:[9, 58] Operation: 70-12=58
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 68:[70, 3], Operations: ['15+55=70', '12-9=3']
Exploring Operation: 70+3=73, Resulting Numbers: [73]
73,68 unequal: No Solution
Exploring Operation: 70*3=210, Resulting Numbers: [210]
210,68 unequal: No Solution
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 68:[70, 21], Operations: ['15+55=70', '12+9=21']
Exploring Operation: 70*21=1470, Resulting Numbers: [1470]
1470,68 unequal: No Solution
Exploring Operation: 70+21=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Exploring Operation: 70-21=49, Resulting Numbers: [49]
49,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 68:[12, 61], Operations: ['15+55=70', '70-9=61']
Exploring Operation: 12+61=73, Resulting Numbers: [73]
73,68 unequal: No Solution
Exploring Operation: 12*61=732, Resulting Numbers: [732]
732,68 unequal: No Solution
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 68:[9, 58], Operations: ['15+55=70', '70-12=58']
Exploring Operation: 9+58=67, Resulting Numbers: [67]
67,68 unequal: No Solution
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,68 unequal: No Solution
Exploring Operation: 9*58=522, Resulting Numbers: [522]
522,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 68:[12, 79], Operations: ['15+55=70', '9+70=79']
Exploring Operation: 12*79=948, Resulting Numbers: [948]
948,68 unequal: No Solution
Exploring Operation: 12+79=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,68 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: 68:[15, 55, 3], Operations: ['12-9=3']
Exploring Operation: 15+55=70, Resulting Numbers: [3, 70]
Generated Node #0,0,0: 68:[3, 70] Operation: 15+55=70
Exploring Operation: 15+3=18, Resulting Numbers: [55, 18]
Generated Node #0,0,1: 68:[55, 18] Operation: 15+3=18
Exploring Operation: 55-15=40, Resulting Numbers: [3, 40]
Generated Node #0,0,2: 68:[3, 40] Operation: 55-15=40
Exploring Operation: 55+3=58, Resulting Numbers: [15, 58]
Generated Node #0,0,3: 68:[15, 58] Operation: 55+3=58
Exploring Operation: 15/3=5, Resulting Numbers: [55, 5]
Generated Node #0,0,4: 68:[55, 5] Operation: 15/3=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 68:[3, 70], Operations: ['12-9=3', '15+55=70']
Exploring Operation: 3*70=210, Resulting Numbers: [210]
210,68 unequal: No Solution
Exploring Operation: 3+70=73, Resulting Numbers: [73]
73,68 unequal: No Solution
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 68:[3, 40], Operations: ['12-9=3', '55-15=40']
Exploring Operation: 3*40=120, Resulting Numbers: [120]
120,68 unequal: No Solution
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,68 unequal: No Solution
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 68:[15, 58], Operations: ['12-9=3', '55+3=58']
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,68 unequal: No Solution
Exploring Operation: 15+58=73, Resulting Numbers: [73]
73,68 unequal: No Solution
Exploring Operation: 15*58=870, Resulting Numbers: [870]
870,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 68:[55, 18], Operations: ['12-9=3', '15+3=18']
Exploring Operation: 55*18=990, Resulting Numbers: [990]
990,68 unequal: No Solution
Exploring Operation: 55-18=37, Resulting Numbers: [37]
37,68 unequal: No Solution
Exploring Operation: 55+18=73, Resulting Numbers: [73]
73,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 68:[55, 5], Operations: ['12-9=3', '15/3=5']
Exploring Operation: 55*5=275, Resulting Numbers: [275]
275,68 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,68 unequal: No Solution
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,68 unequal: No Solution
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,68 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: 68:[15, 9, 43], Operations: ['55-12=43']
Exploring Operation: 15-9=6, Resulting Numbers: [43, 6]
Generated Node #0,1,0: 68:[43, 6] Operation: 15-9=6
Exploring Operation: 43-9=34, Resulting Numbers: [15, 34]
Generated Node #0,1,1: 68:[15, 34] Operation: 43-9=34
Exploring Operation: 43-15=28, Resulting Numbers: [9, 28]
Generated Node #0,1,2: 68:[9, 28] Operation: 43-15=28
Exploring Operation: 15+9=24, Resulting Numbers: [43, 24]
Generated Node #0,1,3: 68:[43, 24] Operation: 15+9=24
Exploring Operation: 15+43=58, Resulting Numbers: [9, 58]
Generated Node #0,1,4: 68:[9, 58] Operation: 15+43=58
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 68:[15, 34], Operations: ['55-12=43', '43-9=34']
Exploring Operation: 15*34=510, Resulting Numbers: [510]
510,68 unequal: No Solution
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,68 unequal: No Solution
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[43, 6], Operations: ['55-12=43', '15-9=6']
Exploring Operation: 43*6=258, Resulting Numbers: [258]
258,68 unequal: No Solution
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,68 unequal: No Solution
Exploring Operation: 43+6=49, Resulting Numbers: [49]
49,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 68:[9, 28], Operations: ['55-12=43', '43-15=28']
Exploring Operation: 9*28=252, Resulting Numbers: [252]
252,68 unequal: No Solution
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,68 unequal: No Solution
Exploring Operation: 9+28=37, Resulting Numbers: [37]
37,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 68:[9, 58], Operations: ['55-12=43', '15+43=58']
Exploring Operation: 9+58=67, Resulting Numbers: [67]
67,68 unequal: No Solution
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,68 unequal: No Solution
Exploring Operation: 9*58=522, Resulting Numbers: [522]
522,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 68:[43, 24], Operations: ['55-12=43', '15+9=24']
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,68 unequal: No Solution
Exploring Operation: 43+24=67, Resulting Numbers: [67]
67,68 unequal: No Solution
Exploring Operation: 43*24=1032, Resulting Numbers: [1032]
1032,68 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: 68:[67, 6], Operations: ['12+55=67', '15-9=6']
Exploring Operation: 67+6=73, Resulting Numbers: [73]
73,68 unequal: No Solution
Exploring Operation: 67-6=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Exploring Operation: 67*6=402, Resulting Numbers: [402]
402,68 unequal: No Solution
Moving to Node #0,2,1
Current State: 68:[64, 3], Operations: ['9+55=64', '15-12=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Exploring Operation: 64*3=192, Resulting Numbers: [192]
192,68 unequal: No Solution
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,68 unequal: No Solution
Moving to Node #0,3,4
Current State: 68:[67, 24], Operations: ['12+55=67', '15+9=24']
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,68 unequal: No Solution
Exploring Operation: 67*24=1608, Resulting Numbers: [1608]
1608,68 unequal: No Solution
Exploring Operation: 67+24=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Moving to Node #0,2,2
Current State: 68:[15, 76], Operations: ['9+55=64', '12+64=76']
Exploring Operation: 15*76=1140, Resulting Numbers: [1140]
1140,68 unequal: No Solution
Exploring Operation: 15+76=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,3,1
Current State: 68:[15, 76], Operations: ['12+55=67', '9+67=76']
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Exploring Operation: 15+76=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Exploring Operation: 15*76=1140, Resulting Numbers: [1140]
1140,68 unequal: No Solution
Moving to Node #0,2,4
Current State: 68:[64, 27], Operations: ['9+55=64', '12+15=27']
Exploring Operation: 64*27=1728, Resulting Numbers: [1728]
1728,68 unequal: No Solution
Exploring Operation: 64+27=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Exploring Operation: 64-27=37, Resulting Numbers: [37]
37,68 unequal: No Solution
Moving to Node #0,3,3
Current State: 68:[15, 58], Operations: ['12+55=67', '67-9=58']
Exploring Operation: 15*58=870, Resulting Numbers: [870]
870,68 unequal: No Solution
Exploring Operation: 58-15=43, Resulting Numbers: [43]
43,68 unequal: No Solution
Exploring Operation: 15+58=73, Resulting Numbers: [73]
73,68 unequal: No Solution
Moving to Node #0,2,3
Current State: 68:[12, 79], Operations: ['9+55=64', '15+64=79']
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,68 unequal: No Solution
Exploring Operation: 12*79=948, Resulting Numbers: [948]
948,68 unequal: No Solution
Exploring Operation: 12+79=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Moving to Node #0,2,0
Current State: 68:[15, 52], Operations: ['9+55=64', '64-12=52']
Exploring Operation: 52-15=37, Resulting Numbers: [37]
37,68 unequal: No Solution
Exploring Operation: 15*52=780, Resulting Numbers: [780]
780,68 unequal: No Solution
Exploring Operation: 15+52=67, Resulting Numbers: [67]
67,68 unequal: No Solution
Moving to Node #0,3,2
Current State: 68:[9, 82], Operations: ['12+55=67', '15+67=82']
Exploring Operation: 9*82=738, Resulting Numbers: [738]
738,68 unequal: No Solution
Exploring Operation: 9+82=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Exploring Operation: 82-9=73, Resulting Numbers: [73]
73,68 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
8,
65,
51,
2
] | 36 | [
"65-51=14",
"2*14=28",
"8+28=36"
] | Current State: 36:[8, 65, 51, 2], Operations: []
Exploring Operation: 65-51=14, Resulting Numbers: [8, 2, 14]
Generated Node #2: [8, 2, 14] from Operation: 65-51=14
Current State: 36:[8, 2, 14], Operations: ['65-51=14']
Exploring Operation: 2*14=28, Resulting Numbers: [8, 28]
Generated Node #3: [8, 28] from Operation: 2*14=28
Current State: 36:[8, 28], Operations: ['65-51=14', '2*14=28']
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[8, 65, 51, 2], Operations: []
Exploring Operation: 65-8=57, Resulting Numbers: [51, 2, 57]
Generated Node #0,0: 36:[51, 2, 57] Operation: 65-8=57
Exploring Operation: 65-2=63, Resulting Numbers: [8, 51, 63]
Generated Node #0,1: 36:[8, 51, 63] Operation: 65-2=63
Exploring Operation: 65-51=14, Resulting Numbers: [8, 2, 14]
Generated Node #0,2: 36:[8, 2, 14] Operation: 65-51=14
Exploring Operation: 51-8=43, Resulting Numbers: [65, 2, 43]
Generated Node #0,3: 36:[65, 2, 43] Operation: 51-8=43
Moving to Node #0,2
Current State: 36:[8, 2, 14], Operations: ['65-51=14']
Exploring Operation: 14-2=12, Resulting Numbers: [8, 12]
Generated Node #0,2,0: 36:[8, 12] Operation: 14-2=12
Exploring Operation: 14-8=6, Resulting Numbers: [2, 6]
Generated Node #0,2,1: 36:[2, 6] Operation: 14-8=6
Exploring Operation: 8-2=6, Resulting Numbers: [14, 6]
Generated Node #0,2,2: 36:[14, 6] Operation: 8-2=6
Exploring Operation: 8/2=4, Resulting Numbers: [14, 4]
Generated Node #0,2,3: 36:[14, 4] Operation: 8/2=4
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 36:[2, 6], Operations: ['65-51=14', '14-8=6']
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,36 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,36 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:[8, 12], Operations: ['65-51=14', '14-2=12']
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,36 unequal: No Solution
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,36 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,36 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 #0,2,2
Current State: 36:[14, 6], Operations: ['65-51=14', '8-2=6']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,36 unequal: No Solution
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,36 unequal: No Solution
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,36 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:[14, 4], Operations: ['65-51=14', '8/2=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,36 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,36 unequal: No Solution
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,36 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: 36:[65, 2, 43], Operations: ['51-8=43']
Exploring Operation: 65+2=67, Resulting Numbers: [43, 67]
Generated Node #0,3,0: 36:[43, 67] Operation: 65+2=67
Exploring Operation: 65-2=63, Resulting Numbers: [43, 63]
Generated Node #0,3,1: 36:[43, 63] Operation: 65-2=63
Exploring Operation: 65-43=22, Resulting Numbers: [2, 22]
Generated Node #0,3,2: 36:[2, 22] Operation: 65-43=22
Exploring Operation: 43-2=41, Resulting Numbers: [65, 41]
Generated Node #0,3,3: 36:[65, 41] Operation: 43-2=41
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 36:[2, 22], Operations: ['51-8=43', '65-43=22']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,36 unequal: No Solution
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,36 unequal: No Solution
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,36 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 #0,3,1
Current State: 36:[43, 63], Operations: ['51-8=43', '65-2=63']
Exploring Operation: 43*63=2709, Resulting Numbers: [2709]
2709,36 unequal: No Solution
Exploring Operation: 63-43=20, Resulting Numbers: [20]
20,36 unequal: No Solution
Exploring Operation: 43+63=106, Resulting Numbers: [106]
106,36 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 #0,3,3
Current State: 36:[65, 41], Operations: ['51-8=43', '43-2=41']
Exploring Operation: 65*41=2665, Resulting Numbers: [2665]
2665,36 unequal: No Solution
Exploring Operation: 65-41=24, Resulting Numbers: [24]
24,36 unequal: No Solution
Exploring Operation: 65+41=106, Resulting Numbers: [106]
106,36 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 #0,3,0
Current State: 36:[43, 67], Operations: ['51-8=43', '65+2=67']
Exploring Operation: 43*67=2881, Resulting Numbers: [2881]
2881,36 unequal: No Solution
Exploring Operation: 67-43=24, Resulting Numbers: [24]
24,36 unequal: No Solution
Exploring Operation: 43+67=110, Resulting Numbers: [110]
110,36 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:[51, 2, 57], Operations: ['65-8=57']
Exploring Operation: 57-51=6, Resulting Numbers: [2, 6]
Generated Node #0,0,0: 36:[2, 6] Operation: 57-51=6
Exploring Operation: 57-2=55, Resulting Numbers: [51, 55]
Generated Node #0,0,1: 36:[51, 55] Operation: 57-2=55
Exploring Operation: 51-2=49, Resulting Numbers: [57, 49]
Generated Node #0,0,2: 36:[57, 49] Operation: 51-2=49
Exploring Operation: 51+2=53, Resulting Numbers: [57, 53]
Generated Node #0,0,3: 36:[57, 53] Operation: 51+2=53
Moving to Node #0,1
Current State: 36:[8, 51, 63], Operations: ['65-2=63']
Exploring Operation: 63-8=55, Resulting Numbers: [51, 55]
Generated Node #0,1,0: 36:[51, 55] Operation: 63-8=55
Exploring Operation: 8+51=59, Resulting Numbers: [63, 59]
Generated Node #0,1,1: 36:[63, 59] Operation: 8+51=59
Exploring Operation: 51-8=43, Resulting Numbers: [63, 43]
Generated Node #0,1,2: 36:[63, 43] Operation: 51-8=43
Exploring Operation: 63-51=12, Resulting Numbers: [8, 12]
Generated Node #0,1,3: 36:[8, 12] Operation: 63-51=12
Moving to Node #0,0,0
Current State: 36:[2, 6], Operations: ['65-8=57', '57-51=6']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,36 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,36 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Moving to Node #0,1,3
Current State: 36:[8, 12], Operations: ['65-2=63', '63-51=12']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,36 unequal: No Solution
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,36 unequal: No Solution
Moving to Node #0,0,2
Current State: 36:[57, 49], Operations: ['65-8=57', '51-2=49']
Exploring Operation: 57-49=8, Resulting Numbers: [8]
8,36 unequal: No Solution
Exploring Operation: 57*49=2793, Resulting Numbers: [2793]
2793,36 unequal: No Solution
Exploring Operation: 57+49=106, Resulting Numbers: [106]
106,36 unequal: No Solution
Moving to Node #0,1,0
Current State: 36:[51, 55], Operations: ['65-2=63', '63-8=55']
Exploring Operation: 51+55=106, Resulting Numbers: [106]
106,36 unequal: No Solution
Exploring Operation: 51*55=2805, Resulting Numbers: [2805]
2805,36 unequal: No Solution
Exploring Operation: 55-51=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Moving to Node #0,1,2
Current State: 36:[63, 43], Operations: ['65-2=63', '51-8=43']
Exploring Operation: 63*43=2709, Resulting Numbers: [2709]
2709,36 unequal: No Solution
Exploring Operation: 63-43=20, Resulting Numbers: [20]
20,36 unequal: No Solution
Exploring Operation: 63+43=106, Resulting Numbers: [106]
106,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[51, 55], Operations: ['65-8=57', '57-2=55']
Exploring Operation: 55-51=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 51+55=106, Resulting Numbers: [106]
106,36 unequal: No Solution
Exploring Operation: 51*55=2805, Resulting Numbers: [2805]
2805,36 unequal: No Solution
Moving to Node #0,0,3
Current State: 36:[57, 53], Operations: ['65-8=57', '51+2=53']
Exploring Operation: 57*53=3021, Resulting Numbers: [3021]
3021,36 unequal: No Solution
Exploring Operation: 57+53=110, Resulting Numbers: [110]
110,36 unequal: No Solution
Exploring Operation: 57-53=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[63, 59], Operations: ['65-2=63', '8+51=59']
Exploring Operation: 63*59=3717, Resulting Numbers: [3717]
3717,36 unequal: No Solution
Exploring Operation: 63+59=122, Resulting Numbers: [122]
122,36 unequal: No Solution
Exploring Operation: 63-59=4, Resulting Numbers: [4]
4,36 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
2,
73,
35,
87
] | 23 | [
"2+73=75",
"87-35=52",
"75-52=23"
] | Current State: 23:[2, 73, 35, 87], Operations: []
Exploring Operation: 2+73=75, Resulting Numbers: [35, 87, 75]
Generated Node #2: [35, 87, 75] from Operation: 2+73=75
Current State: 23:[35, 87, 75], Operations: ['2+73=75']
Exploring Operation: 87-35=52, Resulting Numbers: [75, 52]
Generated Node #3: [75, 52] from Operation: 87-35=52
Current State: 23:[75, 52], Operations: ['2+73=75', '87-35=52']
Exploring Operation: 75-52=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[2, 73, 35, 87], Operations: []
Exploring Operation: 87-35=52, Resulting Numbers: [2, 73, 52]
Generated Node #0,0: 23:[2, 73, 52] Operation: 87-35=52
Exploring Operation: 87-73=14, Resulting Numbers: [2, 35, 14]
Generated Node #0,1: 23:[2, 35, 14] Operation: 87-73=14
Exploring Operation: 35-2=33, Resulting Numbers: [73, 87, 33]
Generated Node #0,2: 23:[73, 87, 33] Operation: 35-2=33
Exploring Operation: 73-2=71, Resulting Numbers: [35, 87, 71]
Generated Node #0,3: 23:[35, 87, 71] Operation: 73-2=71
Exploring Operation: 73-35=38, Resulting Numbers: [2, 87, 38]
Generated Node #0,4: 23:[2, 87, 38] Operation: 73-35=38
Moving to Node #0,1
Current State: 23:[2, 35, 14], Operations: ['87-73=14']
Exploring Operation: 35-2=33, Resulting Numbers: [14, 33]
Generated Node #0,1,0: 23:[14, 33] Operation: 35-2=33
Exploring Operation: 2*14=28, Resulting Numbers: [35, 28]
Generated Node #0,1,1: 23:[35, 28] Operation: 2*14=28
Exploring Operation: 14-2=12, Resulting Numbers: [35, 12]
Generated Node #0,1,2: 23:[35, 12] Operation: 14-2=12
Exploring Operation: 2+35=37, Resulting Numbers: [14, 37]
Generated Node #0,1,3: 23:[14, 37] Operation: 2+35=37
Exploring Operation: 2+14=16, Resulting Numbers: [35, 16]
Generated Node #0,1,4: 23:[35, 16] Operation: 2+14=16
Moving to Node #0,4
Current State: 23:[2, 87, 38], Operations: ['73-35=38']
Exploring Operation: 87-38=49, Resulting Numbers: [2, 49]
Generated Node #0,4,0: 23:[2, 49] Operation: 87-38=49
Exploring Operation: 38-2=36, Resulting Numbers: [87, 36]
Generated Node #0,4,1: 23:[87, 36] Operation: 38-2=36
Exploring Operation: 2+87=89, Resulting Numbers: [38, 89]
Generated Node #0,4,2: 23:[38, 89] Operation: 2+87=89
Exploring Operation: 87-2=85, Resulting Numbers: [38, 85]
Generated Node #0,4,3: 23:[38, 85] Operation: 87-2=85
Exploring Operation: 38/2=19, Resulting Numbers: [87, 19]
Generated Node #0,4,4: 23:[87, 19] Operation: 38/2=19
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 23:[2, 49], Operations: ['73-35=38', '87-38=49']
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,23 unequal: No Solution
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,23 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 23:[87, 19], Operations: ['73-35=38', '38/2=19']
Exploring Operation: 87+19=106, Resulting Numbers: [106]
106,23 unequal: No Solution
Exploring Operation: 87-19=68, Resulting Numbers: [68]
68,23 unequal: No Solution
Exploring Operation: 87*19=1653, Resulting Numbers: [1653]
1653,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 23:[87, 36], Operations: ['73-35=38', '38-2=36']
Exploring Operation: 87-36=51, Resulting Numbers: [51]
51,23 unequal: No Solution
Exploring Operation: 87*36=3132, Resulting Numbers: [3132]
3132,23 unequal: No Solution
Exploring Operation: 87+36=123, Resulting Numbers: [123]
123,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 23:[38, 85], Operations: ['73-35=38', '87-2=85']
Exploring Operation: 85-38=47, Resulting Numbers: [47]
47,23 unequal: No Solution
Exploring Operation: 38*85=3230, Resulting Numbers: [3230]
3230,23 unequal: No Solution
Exploring Operation: 38+85=123, Resulting Numbers: [123]
123,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 23:[38, 89], Operations: ['73-35=38', '2+87=89']
Exploring Operation: 89-38=51, Resulting Numbers: [51]
51,23 unequal: No Solution
Exploring Operation: 38+89=127, Resulting Numbers: [127]
127,23 unequal: No Solution
Exploring Operation: 38*89=3382, Resulting Numbers: [3382]
3382,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 23:[2, 73, 52], Operations: ['87-35=52']
Exploring Operation: 2+73=75, Resulting Numbers: [52, 75]
Generated Node #0,0,0: 23:[52, 75] Operation: 2+73=75
Exploring Operation: 73-2=71, Resulting Numbers: [52, 71]
Generated Node #0,0,1: 23:[52, 71] Operation: 73-2=71
Exploring Operation: 52-2=50, Resulting Numbers: [73, 50]
Generated Node #0,0,2: 23:[73, 50] Operation: 52-2=50
Exploring Operation: 73-52=21, Resulting Numbers: [2, 21]
Generated Node #0,0,3: 23:[2, 21] Operation: 73-52=21
Exploring Operation: 52/2=26, Resulting Numbers: [73, 26]
Generated Node #0,0,4: 23:[73, 26] Operation: 52/2=26
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 23:[2, 21], Operations: ['87-35=52', '73-52=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[2, 73, 35, 87], Operations: []
Exploring Operation: 87-35=52, Resulting Numbers: [2, 73, 52]
Generated Node #0,0: 23:[2, 73, 52] Operation: 87-35=52
Moving to Node #0,0
Current State: 23:[2, 73, 52], Operations: ['87-35=52']
Exploring Operation: 73-52=21, Resulting Numbers: [2, 21]
Generated Node #0,0,3: 23:[2, 21] Operation: 73-52=21
Moving to Node #0,0,3
Current State: 23:[2, 21], Operations: ['87-35=52', '73-52=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_5 | mult_heuristic |
[
63,
95,
57,
18
] | 33 | [
"95*18=1710",
"1710/57=30",
"63-30=33"
] | Current State: 33:[63, 95, 57, 18], Operations: []
Exploring Operation: 95*18=1710, Resulting Numbers: [63, 57, 1710]
Generated Node #2: [63, 57, 1710] from Operation: 95*18=1710
Current State: 33:[63, 57, 1710], Operations: ['95*18=1710']
Exploring Operation: 1710/57=30, Resulting Numbers: [63, 30]
Generated Node #3: [63, 30] from Operation: 1710/57=30
Current State: 33:[63, 30], Operations: ['95*18=1710', '1710/57=30']
Exploring Operation: 63-30=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[63, 95, 57, 18], Operations: []
Exploring Operation: 95-63=32, Resulting Numbers: [57, 18, 32]
Generated Node #0,0: 33:[57, 18, 32] Operation: 95-63=32
Exploring Operation: 95-57=38, Resulting Numbers: [63, 18, 38]
Generated Node #0,1: 33:[63, 18, 38] Operation: 95-57=38
Exploring Operation: 63-18=45, Resulting Numbers: [95, 57, 45]
Generated Node #0,2: 33:[95, 57, 45] Operation: 63-18=45
Exploring Operation: 63-57=6, Resulting Numbers: [95, 18, 6]
Generated Node #0,3: 33:[95, 18, 6] Operation: 63-57=6
Moving to Node #0,0
Current State: 33:[57, 18, 32], Operations: ['95-63=32']
Exploring Operation: 57-18=39, Resulting Numbers: [32, 39]
Generated Node #0,0,0: 33:[32, 39] Operation: 57-18=39
Exploring Operation: 18+32=50, Resulting Numbers: [57, 50]
Generated Node #0,0,1: 33:[57, 50] Operation: 18+32=50
Exploring Operation: 32-18=14, Resulting Numbers: [57, 14]
Generated Node #0,0,2: 33:[57, 14] Operation: 32-18=14
Exploring Operation: 57-32=25, Resulting Numbers: [18, 25]
Generated Node #0,0,3: 33:[18, 25] Operation: 57-32=25
Moving to Node #0,1
Current State: 33:[63, 18, 38], Operations: ['95-57=38']
Exploring Operation: 38-18=20, Resulting Numbers: [63, 20]
Generated Node #0,1,0: 33:[63, 20] Operation: 38-18=20
Exploring Operation: 63+18=81, Resulting Numbers: [38, 81]
Generated Node #0,1,1: 33:[38, 81] Operation: 63+18=81
Exploring Operation: 63-18=45, Resulting Numbers: [38, 45]
Generated Node #0,1,2: 33:[38, 45] Operation: 63-18=45
Exploring Operation: 63-38=25, Resulting Numbers: [18, 25]
Generated Node #0,1,3: 33:[18, 25] Operation: 63-38=25
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 33:[18, 25], Operations: ['95-57=38', '63-38=25']
Exploring Operation: 18*25=450, Resulting Numbers: [450]
450,33 unequal: No Solution
Exploring Operation: 18+25=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,33 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 #0,1,2
Current State: 33:[38, 45], Operations: ['95-57=38', '63-18=45']
Exploring Operation: 38*45=1710, Resulting Numbers: [1710]
1710,33 unequal: No Solution
Exploring Operation: 45-38=7, Resulting Numbers: [7]
7,33 unequal: No Solution
Exploring Operation: 38+45=83, Resulting Numbers: [83]
83,33 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 #0,1,0
Current State: 33:[63, 20], Operations: ['95-57=38', '38-18=20']
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Exploring Operation: 63+20=83, Resulting Numbers: [83]
83,33 unequal: No Solution
Exploring Operation: 63*20=1260, Resulting Numbers: [1260]
1260,33 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 #0,1,1
Current State: 33:[38, 81], Operations: ['95-57=38', '63+18=81']
Exploring Operation: 38+81=119, Resulting Numbers: [119]
119,33 unequal: No Solution
Exploring Operation: 81-38=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Exploring Operation: 38*81=3078, Resulting Numbers: [3078]
3078,33 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: 33:[95, 18, 6], Operations: ['63-57=6']
Exploring Operation: 95-6=89, Resulting Numbers: [18, 89]
Generated Node #0,3,0: 33:[18, 89] Operation: 95-6=89
Exploring Operation: 95-18=77, Resulting Numbers: [6, 77]
Generated Node #0,3,1: 33:[6, 77] Operation: 95-18=77
Exploring Operation: 18/6=3, Resulting Numbers: [95, 3]
Generated Node #0,3,2: 33:[95, 3] Operation: 18/6=3
Exploring Operation: 18-6=12, Resulting Numbers: [95, 12]
Generated Node #0,3,3: 33:[95, 12] Operation: 18-6=12
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 33:[6, 77], Operations: ['63-57=6', '95-18=77']
Exploring Operation: 6*77=462, Resulting Numbers: [462]
462,33 unequal: No Solution
Exploring Operation: 77-6=71, Resulting Numbers: [71]
71,33 unequal: No Solution
Exploring Operation: 6+77=83, Resulting Numbers: [83]
83,33 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 #0,3,2
Current State: 33:[95, 3], Operations: ['63-57=6', '18/6=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,33 unequal: No Solution
Exploring Operation: 95*3=285, Resulting Numbers: [285]
285,33 unequal: No Solution
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,33 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 #0,3,0
Current State: 33:[18, 89], Operations: ['63-57=6', '95-6=89']
Exploring Operation: 18+89=107, Resulting Numbers: [107]
107,33 unequal: No Solution
Exploring Operation: 89-18=71, Resulting Numbers: [71]
71,33 unequal: No Solution
Exploring Operation: 18*89=1602, Resulting Numbers: [1602]
1602,33 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 #0,3,3
Current State: 33:[95, 12], Operations: ['63-57=6', '18-6=12']
Exploring Operation: 95*12=1140, Resulting Numbers: [1140]
1140,33 unequal: No Solution
Exploring Operation: 95+12=107, Resulting Numbers: [107]
107,33 unequal: No Solution
Exploring Operation: 95-12=83, Resulting Numbers: [83]
83,33 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: 33:[95, 57, 45], Operations: ['63-18=45']
Exploring Operation: 57-45=12, Resulting Numbers: [95, 12]
Generated Node #0,2,0: 33:[95, 12] Operation: 57-45=12
Exploring Operation: 95-57=38, Resulting Numbers: [45, 38]
Generated Node #0,2,1: 33:[45, 38] Operation: 95-57=38
Exploring Operation: 95-45=50, Resulting Numbers: [57, 50]
Generated Node #0,2,2: 33:[57, 50] Operation: 95-45=50
Exploring Operation: 95+57=152, Resulting Numbers: [45, 152]
Generated Node #0,2,3: 33:[45, 152] Operation: 95+57=152
Moving to Node #0,0,0
Current State: 33:[32, 39], Operations: ['95-63=32', '57-18=39']
Exploring Operation: 32*39=1248, Resulting Numbers: [1248]
1248,33 unequal: No Solution
Exploring Operation: 39-32=7, Resulting Numbers: [7]
7,33 unequal: No Solution
Exploring Operation: 32+39=71, Resulting Numbers: [71]
71,33 unequal: No Solution
Moving to Node #0,0,3
Current State: 33:[18, 25], Operations: ['95-63=32', '57-32=25']
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,33 unequal: No Solution
Exploring Operation: 18+25=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Exploring Operation: 18*25=450, Resulting Numbers: [450]
450,33 unequal: No Solution
Moving to Node #0,2,1
Current State: 33:[45, 38], Operations: ['63-18=45', '95-57=38']
Exploring Operation: 45*38=1710, Resulting Numbers: [1710]
1710,33 unequal: No Solution
Exploring Operation: 45+38=83, Resulting Numbers: [83]
83,33 unequal: No Solution
Exploring Operation: 45-38=7, Resulting Numbers: [7]
7,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[57, 14], Operations: ['95-63=32', '32-18=14']
Exploring Operation: 57+14=71, Resulting Numbers: [71]
71,33 unequal: No Solution
Exploring Operation: 57*14=798, Resulting Numbers: [798]
798,33 unequal: No Solution
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,33 unequal: No Solution
Moving to Node #0,2,2
Current State: 33:[57, 50], Operations: ['63-18=45', '95-45=50']
Exploring Operation: 57-50=7, Resulting Numbers: [7]
7,33 unequal: No Solution
Exploring Operation: 57+50=107, Resulting Numbers: [107]
107,33 unequal: No Solution
Exploring Operation: 57*50=2850, Resulting Numbers: [2850]
2850,33 unequal: No Solution
Moving to Node #0,0,1
Current State: 33:[57, 50], Operations: ['95-63=32', '18+32=50']
Exploring Operation: 57+50=107, Resulting Numbers: [107]
107,33 unequal: No Solution
Exploring Operation: 57*50=2850, Resulting Numbers: [2850]
2850,33 unequal: No Solution
Exploring Operation: 57-50=7, Resulting Numbers: [7]
7,33 unequal: No Solution
Moving to Node #0,2,0
Current State: 33:[95, 12], Operations: ['63-18=45', '57-45=12']
Exploring Operation: 95-12=83, Resulting Numbers: [83]
83,33 unequal: No Solution
Exploring Operation: 95*12=1140, Resulting Numbers: [1140]
1140,33 unequal: No Solution
Exploring Operation: 95+12=107, Resulting Numbers: [107]
107,33 unequal: No Solution
Moving to Node #0,2,3
Current State: 33:[45, 152], Operations: ['63-18=45', '95+57=152']
Exploring Operation: 45+152=197, Resulting Numbers: [197]
197,33 unequal: No Solution
Exploring Operation: 152-45=107, Resulting Numbers: [107]
107,33 unequal: No Solution
Exploring Operation: 45*152=6840, Resulting Numbers: [6840]
6840,33 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
82,
29,
94,
8
] | 12 | [
"29+94=123",
"8*123=984",
"984/82=12"
] | Current State: 12:[82, 29, 94, 8], Operations: []
Exploring Operation: 29+94=123, Resulting Numbers: [82, 8, 123]
Generated Node #2: [82, 8, 123] from Operation: 29+94=123
Current State: 12:[82, 8, 123], Operations: ['29+94=123']
Exploring Operation: 8*123=984, Resulting Numbers: [82, 984]
Generated Node #3: [82, 984] from Operation: 8*123=984
Current State: 12:[82, 984], Operations: ['29+94=123', '8*123=984']
Exploring Operation: 984/82=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[82, 29, 94, 8], Operations: []
Exploring Operation: 82-8=74, Resulting Numbers: [29, 94, 74]
Generated Node #0,0: 12:[29, 94, 74] Operation: 82-8=74
Exploring Operation: 82-29=53, Resulting Numbers: [94, 8, 53]
Generated Node #0,1: 12:[94, 8, 53] Operation: 82-29=53
Exploring Operation: 94-82=12, Resulting Numbers: [29, 8, 12]
Generated Node #0,2: 12:[29, 8, 12] Operation: 94-82=12
Exploring Operation: 29-8=21, Resulting Numbers: [82, 94, 21]
Generated Node #0,3: 12:[82, 94, 21] Operation: 29-8=21
Exploring Operation: 94-29=65, Resulting Numbers: [82, 8, 65]
Generated Node #0,4: 12:[82, 8, 65] Operation: 94-29=65
Start Sub Search at level 1: Moving to Node #0,2
Current State: 12:[29, 8, 12], Operations: ['94-82=12']
Exploring Operation: 8+12=20, Resulting Numbers: [29, 20]
Generated Node #0,2,0: 12:[29, 20] Operation: 8+12=20
Exploring Operation: 29-12=17, Resulting Numbers: [8, 17]
Generated Node #0,2,1: 12:[8, 17] Operation: 29-12=17
Exploring Operation: 29-8=21, Resulting Numbers: [12, 21]
Generated Node #0,2,2: 12:[12, 21] Operation: 29-8=21
Exploring Operation: 12-8=4, Resulting Numbers: [29, 4]
Generated Node #0,2,3: 12:[29, 4] Operation: 12-8=4
Exploring Operation: 29+8=37, Resulting Numbers: [12, 37]
Generated Node #0,2,4: 12:[12, 37] Operation: 29+8=37
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 12:[8, 17], Operations: ['94-82=12', '29-12=17']
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Exploring Operation: 8*17=136, Resulting Numbers: [136]
136,12 unequal: No Solution
Exploring Operation: 8+17=25, Resulting Numbers: [25]
25,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 12:[12, 21], Operations: ['94-82=12', '29-8=21']
Exploring Operation: 12*21=252, Resulting Numbers: [252]
252,12 unequal: No Solution
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 12:[29, 4], Operations: ['94-82=12', '12-8=4']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 29*4=116, Resulting Numbers: [116]
116,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 12:[29, 20], Operations: ['94-82=12', '8+12=20']
Exploring Operation: 29*20=580, Resulting Numbers: [580]
580,12 unequal: No Solution
Exploring Operation: 29+20=49, Resulting Numbers: [49]
49,12 unequal: No Solution
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 12:[12, 37], Operations: ['94-82=12', '29+8=37']
Exploring Operation: 12+37=49, Resulting Numbers: [49]
49,12 unequal: No Solution
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 12*37=444, Resulting Numbers: [444]
444,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[94, 8, 53], Operations: ['82-29=53']
Exploring Operation: 94-53=41, Resulting Numbers: [8, 41]
Generated Node #0,1,0: 12:[8, 41] Operation: 94-53=41
Exploring Operation: 8+53=61, Resulting Numbers: [94, 61]
Generated Node #0,1,1: 12:[94, 61] Operation: 8+53=61
Exploring Operation: 53-8=45, Resulting Numbers: [94, 45]
Generated Node #0,1,2: 12:[94, 45] Operation: 53-8=45
Exploring Operation: 94+8=102, Resulting Numbers: [53, 102]
Generated Node #0,1,3: 12:[53, 102] Operation: 94+8=102
Exploring Operation: 94-8=86, Resulting Numbers: [53, 86]
Generated Node #0,1,4: 12:[53, 86] Operation: 94-8=86
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 12:[8, 41], Operations: ['82-29=53', '94-53=41']
Exploring Operation: 8*41=328, Resulting Numbers: [328]
328,12 unequal: No Solution
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 8+41=49, Resulting Numbers: [49]
49,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 12:[94, 45], Operations: ['82-29=53', '53-8=45']
Exploring Operation: 94+45=139, Resulting Numbers: [139]
139,12 unequal: No Solution
Exploring Operation: 94-45=49, Resulting Numbers: [49]
49,12 unequal: No Solution
Exploring Operation: 94*45=4230, Resulting Numbers: [4230]
4230,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 12:[53, 86], Operations: ['82-29=53', '94-8=86']
Exploring Operation: 86-53=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 53+86=139, Resulting Numbers: [139]
139,12 unequal: No Solution
Exploring Operation: 53*86=4558, Resulting Numbers: [4558]
4558,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 12:[94, 61], Operations: ['82-29=53', '8+53=61']
Exploring Operation: 94+61=155, Resulting Numbers: [155]
155,12 unequal: No Solution
Exploring Operation: 94*61=5734, Resulting Numbers: [5734]
5734,12 unequal: No Solution
Exploring Operation: 94-61=33, Resulting Numbers: [33]
33,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 12:[53, 102], Operations: ['82-29=53', '94+8=102']
Exploring Operation: 53*102=5406, Resulting Numbers: [5406]
5406,12 unequal: No Solution
Exploring Operation: 102-53=49, Resulting Numbers: [49]
49,12 unequal: No Solution
Exploring Operation: 53+102=155, Resulting Numbers: [155]
155,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 12:[82, 8, 65], Operations: ['94-29=65']
Exploring Operation: 82-65=17, Resulting Numbers: [8, 17]
Generated Node #0,4,0: 12:[8, 17] Operation: 82-65=17
Exploring Operation: 65-8=57, Resulting Numbers: [82, 57]
Generated Node #0,4,1: 12:[82, 57] Operation: 65-8=57
Exploring Operation: 82+8=90, Resulting Numbers: [65, 90]
Generated Node #0,4,2: 12:[65, 90] Operation: 82+8=90
Exploring Operation: 82-8=74, Resulting Numbers: [65, 74]
Generated Node #0,4,3: 12:[65, 74] Operation: 82-8=74
Exploring Operation: 8+65=73, Resulting Numbers: [82, 73]
Generated Node #0,4,4: 12:[82, 73] Operation: 8+65=73
Moving to Node #0,4,0
Current State: 12:[8, 17], Operations: ['94-29=65', '82-65=17']
Exploring Operation: 8+17=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 8*17=136, Resulting Numbers: [136]
136,12 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Moving to Node #0,4,3
Current State: 12:[65, 74], Operations: ['94-29=65', '82-8=74']
Exploring Operation: 74-65=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Exploring Operation: 65*74=4810, Resulting Numbers: [4810]
4810,12 unequal: No Solution
Exploring Operation: 65+74=139, Resulting Numbers: [139]
139,12 unequal: No Solution
Moving to Node #0,4,1
Current State: 12:[82, 57], Operations: ['94-29=65', '65-8=57']
Exploring Operation: 82+57=139, Resulting Numbers: [139]
139,12 unequal: No Solution
Exploring Operation: 82*57=4674, Resulting Numbers: [4674]
4674,12 unequal: No Solution
Exploring Operation: 82-57=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Moving to Node #0,4,2
Current State: 12:[65, 90], Operations: ['94-29=65', '82+8=90']
Exploring Operation: 65+90=155, Resulting Numbers: [155]
155,12 unequal: No Solution
Exploring Operation: 65*90=5850, Resulting Numbers: [5850]
5850,12 unequal: No Solution
Exploring Operation: 90-65=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Moving to Node #0,4,4
Current State: 12:[82, 73], Operations: ['94-29=65', '8+65=73']
Exploring Operation: 82*73=5986, Resulting Numbers: [5986]
5986,12 unequal: No Solution
Exploring Operation: 82-73=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Exploring Operation: 82+73=155, Resulting Numbers: [155]
155,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[29, 94, 74], Operations: ['82-8=74']
Exploring Operation: 94-29=65, Resulting Numbers: [74, 65]
Generated Node #0,0,0: 12:[74, 65] Operation: 94-29=65
Exploring Operation: 29+74=103, Resulting Numbers: [94, 103]
Generated Node #0,0,1: 12:[94, 103] Operation: 29+74=103
Exploring Operation: 94-74=20, Resulting Numbers: [29, 20]
Generated Node #0,0,2: 12:[29, 20] Operation: 94-74=20
Exploring Operation: 29+94=123, Resulting Numbers: [74, 123]
Generated Node #0,0,3: 12:[74, 123] Operation: 29+94=123
Exploring Operation: 74-29=45, Resulting Numbers: [94, 45]
Generated Node #0,0,4: 12:[94, 45] Operation: 74-29=45
Moving to Node #0,0,2
Current State: 12:[29, 20], Operations: ['82-8=74', '94-74=20']
Exploring Operation: 29*20=580, Resulting Numbers: [580]
580,12 unequal: No Solution
Exploring Operation: 29-20=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Exploring Operation: 29+20=49, Resulting Numbers: [49]
49,12 unequal: No Solution
Moving to Node #0,0,4
Current State: 12:[94, 45], Operations: ['82-8=74', '74-29=45']
Exploring Operation: 94+45=139, Resulting Numbers: [139]
139,12 unequal: No Solution
Exploring Operation: 94-45=49, Resulting Numbers: [49]
49,12 unequal: No Solution
Exploring Operation: 94*45=4230, Resulting Numbers: [4230]
4230,12 unequal: No Solution
Moving to Node #0,0,0
Current State: 12:[74, 65], Operations: ['82-8=74', '94-29=65']
Exploring Operation: 74-65=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Exploring Operation: 74*65=4810, Resulting Numbers: [4810]
4810,12 unequal: No Solution
Exploring Operation: 74+65=139, Resulting Numbers: [139]
139,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[94, 103], Operations: ['82-8=74', '29+74=103']
Exploring Operation: 94+103=197, Resulting Numbers: [197]
197,12 unequal: No Solution
Exploring Operation: 103-94=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Exploring Operation: 94*103=9682, Resulting Numbers: [9682]
9682,12 unequal: No Solution
Moving to Node #0,0,3
Current State: 12:[74, 123], Operations: ['82-8=74', '29+94=123']
Exploring Operation: 74+123=197, Resulting Numbers: [197]
197,12 unequal: No Solution
Exploring Operation: 123-74=49, Resulting Numbers: [49]
49,12 unequal: No Solution
Exploring Operation: 74*123=9102, Resulting Numbers: [9102]
9102,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 12:[82, 94, 21], Operations: ['29-8=21']
Exploring Operation: 82+21=103, Resulting Numbers: [94, 103]
Generated Node #0,3,0: 12:[94, 103] Operation: 82+21=103
Exploring Operation: 82-21=61, Resulting Numbers: [94, 61]
Generated Node #0,3,1: 12:[94, 61] Operation: 82-21=61
Exploring Operation: 94-82=12, Resulting Numbers: [21, 12]
Generated Node #0,3,2: 12:[21, 12] Operation: 94-82=12
Exploring Operation: 82+94=176, Resulting Numbers: [21, 176]
Generated Node #0,3,3: 12:[21, 176] Operation: 82+94=176
Exploring Operation: 94-21=73, Resulting Numbers: [82, 73]
Generated Node #0,3,4: 12:[82, 73] Operation: 94-21=73
Moving to Node #0,3,2
Current State: 12:[21, 12], Operations: ['29-8=21', '94-82=12']
Exploring Operation: 21*12=252, Resulting Numbers: [252]
252,12 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Exploring Operation: 21+12=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Moving to Node #0,3,4
Current State: 12:[82, 73], Operations: ['29-8=21', '94-21=73']
Exploring Operation: 82+73=155, Resulting Numbers: [155]
155,12 unequal: No Solution
Exploring Operation: 82*73=5986, Resulting Numbers: [5986]
5986,12 unequal: No Solution
Exploring Operation: 82-73=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Moving to Node #0,3,1
Current State: 12:[94, 61], Operations: ['29-8=21', '82-21=61']
Exploring Operation: 94+61=155, Resulting Numbers: [155]
155,12 unequal: No Solution
Exploring Operation: 94-61=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 94*61=5734, Resulting Numbers: [5734]
5734,12 unequal: No Solution
Moving to Node #0,3,0
Current State: 12:[94, 103], Operations: ['29-8=21', '82+21=103']
Exploring Operation: 103-94=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Exploring Operation: 94+103=197, Resulting Numbers: [197]
197,12 unequal: No Solution
Exploring Operation: 94*103=9682, Resulting Numbers: [9682]
9682,12 unequal: No Solution
Moving to Node #0,3,3
Current State: 12:[21, 176], Operations: ['29-8=21', '82+94=176']
Exploring Operation: 21+176=197, Resulting Numbers: [197]
197,12 unequal: No Solution
Exploring Operation: 21*176=3696, Resulting Numbers: [3696]
3696,12 unequal: No Solution
Exploring Operation: 176-21=155, Resulting Numbers: [155]
155,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
26,
12,
86,
83
] | 90 | [
"86-83=3",
"26*3=78",
"12+78=90"
] | Current State: 90:[26, 12, 86, 83], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [26, 12, 3]
Generated Node #2: [26, 12, 3] from Operation: 86-83=3
Current State: 90:[26, 12, 3], Operations: ['86-83=3']
Exploring Operation: 26*3=78, Resulting Numbers: [12, 78]
Generated Node #3: [12, 78] from Operation: 26*3=78
Current State: 90:[12, 78], Operations: ['86-83=3', '26*3=78']
Exploring Operation: 12+78=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[26, 12, 86, 83], Operations: []
Exploring Operation: 12+83=95, Resulting Numbers: [26, 86, 95]
Generated Node #0,0: 90:[26, 86, 95] Operation: 12+83=95
Exploring Operation: 26-12=14, Resulting Numbers: [86, 83, 14]
Generated Node #0,1: 90:[86, 83, 14] Operation: 26-12=14
Exploring Operation: 26+12=38, Resulting Numbers: [86, 83, 38]
Generated Node #0,2: 90:[86, 83, 38] Operation: 26+12=38
Exploring Operation: 86-83=3, Resulting Numbers: [26, 12, 3]
Generated Node #0,3: 90:[26, 12, 3] Operation: 86-83=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 90:[26, 12, 3], Operations: ['86-83=3']
Exploring Operation: 26+3=29, Resulting Numbers: [12, 29]
Generated Node #0,3,0: 90:[12, 29] Operation: 26+3=29
Exploring Operation: 26-12=14, Resulting Numbers: [3, 14]
Generated Node #0,3,1: 90:[3, 14] Operation: 26-12=14
Exploring Operation: 12-3=9, Resulting Numbers: [26, 9]
Generated Node #0,3,2: 90:[26, 9] Operation: 12-3=9
Exploring Operation: 12+3=15, Resulting Numbers: [26, 15]
Generated Node #0,3,3: 90:[26, 15] Operation: 12+3=15
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 90:[3, 14], Operations: ['86-83=3', '26-12=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,90 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 90:[12, 29], Operations: ['86-83=3', '26+3=29']
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 12*29=348, Resulting Numbers: [348]
348,90 unequal: No Solution
Exploring Operation: 12+29=41, Resulting Numbers: [41]
41,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 90:[26, 9], Operations: ['86-83=3', '12-3=9']
Exploring Operation: 26*9=234, Resulting Numbers: [234]
234,90 unequal: No Solution
Exploring Operation: 26+9=35, Resulting Numbers: [35]
35,90 unequal: No Solution
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 90:[26, 15], Operations: ['86-83=3', '12+3=15']
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,90 unequal: No Solution
Exploring Operation: 26*15=390, Resulting Numbers: [390]
390,90 unequal: No Solution
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[86, 83, 14], Operations: ['26-12=14']
Exploring Operation: 86-14=72, Resulting Numbers: [83, 72]
Generated Node #0,1,0: 90:[83, 72] Operation: 86-14=72
Exploring Operation: 86+14=100, Resulting Numbers: [83, 100]
Generated Node #0,1,1: 90:[83, 100] Operation: 86+14=100
Exploring Operation: 83+14=97, Resulting Numbers: [86, 97]
Generated Node #0,1,2: 90:[86, 97] Operation: 83+14=97
Exploring Operation: 86-83=3, Resulting Numbers: [14, 3]
Generated Node #0,1,3: 90:[14, 3] Operation: 86-83=3
Moving to Node #0,1,3
Current State: 90:[14, 3], Operations: ['26-12=14', '86-83=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,90 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Moving to Node #0,1,2
Current State: 90:[86, 97], Operations: ['26-12=14', '83+14=97']
Exploring Operation: 86*97=8342, Resulting Numbers: [8342]
8342,90 unequal: No Solution
Exploring Operation: 97-86=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 86+97=183, Resulting Numbers: [183]
183,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[83, 100], Operations: ['26-12=14', '86+14=100']
Exploring Operation: 83+100=183, Resulting Numbers: [183]
183,90 unequal: No Solution
Exploring Operation: 100-83=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 83*100=8300, Resulting Numbers: [8300]
8300,90 unequal: No Solution
Moving to Node #0,1,0
Current State: 90:[83, 72], Operations: ['26-12=14', '86-14=72']
Exploring Operation: 83*72=5976, Resulting Numbers: [5976]
5976,90 unequal: No Solution
Exploring Operation: 83+72=155, Resulting Numbers: [155]
155,90 unequal: No Solution
Exploring Operation: 83-72=11, Resulting Numbers: [11]
11,90 unequal: No Solution
No 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: 90:[26, 86, 95], Operations: ['12+83=95']
Exploring Operation: 95-86=9, Resulting Numbers: [26, 9]
Generated Node #0,0,0: 90:[26, 9] Operation: 95-86=9
Exploring Operation: 86-26=60, Resulting Numbers: [95, 60]
Generated Node #0,0,1: 90:[95, 60] Operation: 86-26=60
Exploring Operation: 95-26=69, Resulting Numbers: [86, 69]
Generated Node #0,0,2: 90:[86, 69] Operation: 95-26=69
Exploring Operation: 26+86=112, Resulting Numbers: [95, 112]
Generated Node #0,0,3: 90:[95, 112] Operation: 26+86=112
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[26, 9], Operations: ['12+83=95', '95-86=9']
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 26*9=234, Resulting Numbers: [234]
234,90 unequal: No Solution
Exploring Operation: 26+9=35, Resulting Numbers: [35]
35,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 90:[95, 60], Operations: ['12+83=95', '86-26=60']
Exploring Operation: 95+60=155, Resulting Numbers: [155]
155,90 unequal: No Solution
Exploring Operation: 95-60=35, Resulting Numbers: [35]
35,90 unequal: No Solution
Exploring Operation: 95*60=5700, Resulting Numbers: [5700]
5700,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 90:[86, 69], Operations: ['12+83=95', '95-26=69']
Exploring Operation: 86-69=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 86*69=5934, Resulting Numbers: [5934]
5934,90 unequal: No Solution
Exploring Operation: 86+69=155, Resulting Numbers: [155]
155,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 90:[95, 112], Operations: ['12+83=95', '26+86=112']
Exploring Operation: 95*112=10640, Resulting Numbers: [10640]
10640,90 unequal: No Solution
Exploring Operation: 95+112=207, Resulting Numbers: [207]
207,90 unequal: No Solution
Exploring Operation: 112-95=17, Resulting Numbers: [17]
17,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 90:[86, 83, 38], Operations: ['26+12=38']
Exploring Operation: 86-38=48, Resulting Numbers: [83, 48]
Generated Node #0,2,0: 90:[83, 48] Operation: 86-38=48
Exploring Operation: 86-83=3, Resulting Numbers: [38, 3]
Generated Node #0,2,1: 90:[38, 3] Operation: 86-83=3
Exploring Operation: 83+38=121, Resulting Numbers: [86, 121]
Generated Node #0,2,2: 90:[86, 121] Operation: 83+38=121
Exploring Operation: 83-38=45, Resulting Numbers: [86, 45]
Generated Node #0,2,3: 90:[86, 45] Operation: 83-38=45
Moving to Node #0,2,3
Current State: 90:[86, 45], Operations: ['26+12=38', '83-38=45']
Exploring Operation: 86-45=41, Resulting Numbers: [41]
41,90 unequal: No Solution
Exploring Operation: 86*45=3870, Resulting Numbers: [3870]
3870,90 unequal: No Solution
Exploring Operation: 86+45=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0,2,1
Current State: 90:[38, 3], Operations: ['26+12=38', '86-83=3']
Exploring Operation: 38*3=114, Resulting Numbers: [114]
114,90 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,90 unequal: No Solution
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,90 unequal: No Solution
Moving to Node #0,2,0
Current State: 90:[83, 48], Operations: ['26+12=38', '86-38=48']
Exploring Operation: 83+48=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Exploring Operation: 83*48=3984, Resulting Numbers: [3984]
3984,90 unequal: No Solution
Exploring Operation: 83-48=35, Resulting Numbers: [35]
35,90 unequal: No Solution
Moving to Node #0,2,2
Current State: 90:[86, 121], Operations: ['26+12=38', '83+38=121']
Exploring Operation: 86*121=10406, Resulting Numbers: [10406]
10406,90 unequal: No Solution
Exploring Operation: 121-86=35, Resulting Numbers: [35]
35,90 unequal: No Solution
Exploring Operation: 86+121=207, Resulting Numbers: [207]
207,90 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 |
[
33,
26,
42,
30
] | 12 | [
"33-30=3",
"42/3=14",
"26-14=12"
] | Current State: 12:[33, 26, 42, 30], Operations: []
Exploring Operation: 33-30=3, Resulting Numbers: [26, 42, 3]
Generated Node #2: [26, 42, 3] from Operation: 33-30=3
Current State: 12:[26, 42, 3], Operations: ['33-30=3']
Exploring Operation: 42/3=14, Resulting Numbers: [26, 14]
Generated Node #3: [26, 14] from Operation: 42/3=14
Current State: 12:[26, 14], Operations: ['33-30=3', '42/3=14']
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[33, 26, 42, 30], Operations: []
Exploring Operation: 33-26=7, Resulting Numbers: [42, 30, 7]
Generated Node #0,0: 12:[42, 30, 7] Operation: 33-26=7
Exploring Operation: 42-30=12, Resulting Numbers: [33, 26, 12]
Generated Node #0,1: 12:[33, 26, 12] Operation: 42-30=12
Exploring Operation: 42-26=16, Resulting Numbers: [33, 30, 16]
Generated Node #0,2: 12:[33, 30, 16] Operation: 42-26=16
Exploring Operation: 42-33=9, Resulting Numbers: [26, 30, 9]
Generated Node #0,3: 12:[26, 30, 9] Operation: 42-33=9
Exploring Operation: 33-30=3, Resulting Numbers: [26, 42, 3]
Generated Node #0,4: 12:[26, 42, 3] Operation: 33-30=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[33, 26, 12], Operations: ['42-30=12']
Exploring Operation: 26-12=14, Resulting Numbers: [33, 14]
Generated Node #0,1,0: 12:[33, 14] Operation: 26-12=14
Exploring Operation: 33+12=45, Resulting Numbers: [26, 45]
Generated Node #0,1,1: 12:[26, 45] Operation: 33+12=45
Exploring Operation: 33-12=21, Resulting Numbers: [26, 21]
Generated Node #0,1,2: 12:[26, 21] Operation: 33-12=21
Exploring Operation: 33-26=7, Resulting Numbers: [12, 7]
Generated Node #0,1,3: 12:[12, 7] Operation: 33-26=7
Exploring Operation: 33+26=59, Resulting Numbers: [12, 59]
Generated Node #0,1,4: 12:[12, 59] Operation: 33+26=59
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 12:[12, 7], Operations: ['42-30=12', '33-26=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,12 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 12:[33, 14], Operations: ['42-30=12', '26-12=14']
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Exploring Operation: 33*14=462, Resulting Numbers: [462]
462,12 unequal: No Solution
Exploring Operation: 33+14=47, Resulting Numbers: [47]
47,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 12:[26, 21], Operations: ['42-30=12', '33-12=21']
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 26*21=546, Resulting Numbers: [546]
546,12 unequal: No Solution
Exploring Operation: 26+21=47, Resulting Numbers: [47]
47,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 12:[26, 45], Operations: ['42-30=12', '33+12=45']
Exploring Operation: 26+45=71, Resulting Numbers: [71]
71,12 unequal: No Solution
Exploring Operation: 26*45=1170, Resulting Numbers: [1170]
1170,12 unequal: No Solution
Exploring Operation: 45-26=19, Resulting Numbers: [19]
19,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 12:[12, 59], Operations: ['42-30=12', '33+26=59']
Exploring Operation: 12+59=71, Resulting Numbers: [71]
71,12 unequal: No Solution
Exploring Operation: 12*59=708, Resulting Numbers: [708]
708,12 unequal: No Solution
Exploring Operation: 59-12=47, Resulting Numbers: [47]
47,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 12:[26, 30, 9], Operations: ['42-33=9']
Exploring Operation: 30-9=21, Resulting Numbers: [26, 21]
Generated Node #0,3,0: 12:[26, 21] Operation: 30-9=21
Exploring Operation: 30+9=39, Resulting Numbers: [26, 39]
Generated Node #0,3,1: 12:[26, 39] Operation: 30+9=39
Exploring Operation: 26-9=17, Resulting Numbers: [30, 17]
Generated Node #0,3,2: 12:[30, 17] Operation: 26-9=17
Exploring Operation: 30-26=4, Resulting Numbers: [9, 4]
Generated Node #0,3,3: 12:[9, 4] Operation: 30-26=4
Exploring Operation: 26+9=35, Resulting Numbers: [30, 35]
Generated Node #0,3,4: 12:[30, 35] Operation: 26+9=35
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 12:[9, 4], Operations: ['42-33=9', '30-26=4']
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,12 unequal: No Solution
Exploring Operation: 9*4=36, Resulting Numbers: [36]
36,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 12:[26, 21], Operations: ['42-33=9', '30-9=21']
Exploring Operation: 26*21=546, Resulting Numbers: [546]
546,12 unequal: No Solution
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 26+21=47, Resulting Numbers: [47]
47,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 12:[30, 17], Operations: ['42-33=9', '26-9=17']
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,12 unequal: No Solution
Exploring Operation: 30*17=510, Resulting Numbers: [510]
510,12 unequal: No Solution
Exploring Operation: 30+17=47, Resulting Numbers: [47]
47,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 12:[26, 39], Operations: ['42-33=9', '30+9=39']
Exploring Operation: 26*39=1014, Resulting Numbers: [1014]
1014,12 unequal: No Solution
Exploring Operation: 26+39=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 39-26=13, Resulting Numbers: [13]
13,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 12:[30, 35], Operations: ['42-33=9', '26+9=35']
Exploring Operation: 30*35=1050, Resulting Numbers: [1050]
1050,12 unequal: No Solution
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 30+35=65, Resulting Numbers: [65]
65,12 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 12:[33, 30, 16], Operations: ['42-26=16']
Exploring Operation: 33-30=3, Resulting Numbers: [16, 3]
Generated Node #0,2,0: 12:[16, 3] Operation: 33-30=3
Exploring Operation: 33+30=63, Resulting Numbers: [16, 63]
Generated Node #0,2,1: 12:[16, 63] Operation: 33+30=63
Exploring Operation: 33-16=17, Resulting Numbers: [30, 17]
Generated Node #0,2,2: 12:[30, 17] Operation: 33-16=17
Exploring Operation: 30-16=14, Resulting Numbers: [33, 14]
Generated Node #0,2,3: 12:[33, 14] Operation: 30-16=14
Exploring Operation: 33+16=49, Resulting Numbers: [30, 49]
Generated Node #0,2,4: 12:[30, 49] Operation: 33+16=49
Moving to Node #0,2,0
Current State: 12:[16, 3], Operations: ['42-26=16', '33-30=3']
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,12 unequal: No Solution
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,12 unequal: No Solution
Moving to Node #0,2,3
Current State: 12:[33, 14], Operations: ['42-26=16', '30-16=14']
Exploring Operation: 33+14=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Exploring Operation: 33*14=462, Resulting Numbers: [462]
462,12 unequal: No Solution
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Moving to Node #0,2,2
Current State: 12:[30, 17], Operations: ['42-26=16', '33-16=17']
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,12 unequal: No Solution
Exploring Operation: 30*17=510, Resulting Numbers: [510]
510,12 unequal: No Solution
Exploring Operation: 30+17=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Moving to Node #0,2,1
Current State: 12:[16, 63], Operations: ['42-26=16', '33+30=63']
Exploring Operation: 16*63=1008, Resulting Numbers: [1008]
1008,12 unequal: No Solution
Exploring Operation: 16+63=79, Resulting Numbers: [79]
79,12 unequal: No Solution
Exploring Operation: 63-16=47, Resulting Numbers: [47]
47,12 unequal: No Solution
Moving to Node #0,2,4
Current State: 12:[30, 49], Operations: ['42-26=16', '33+16=49']
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Exploring Operation: 30*49=1470, Resulting Numbers: [1470]
1470,12 unequal: No Solution
Exploring Operation: 30+49=79, Resulting Numbers: [79]
79,12 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 #0,4
Current State: 12:[26, 42, 3], Operations: ['33-30=3']
Exploring Operation: 42-26=16, Resulting Numbers: [3, 16]
Generated Node #0,4,0: 12:[3, 16] Operation: 42-26=16
Exploring Operation: 26-3=23, Resulting Numbers: [42, 23]
Generated Node #0,4,1: 12:[42, 23] Operation: 26-3=23
Exploring Operation: 42-3=39, Resulting Numbers: [26, 39]
Generated Node #0,4,2: 12:[26, 39] Operation: 42-3=39
Exploring Operation: 42/3=14, Resulting Numbers: [26, 14]
Generated Node #0,4,3: 12:[26, 14] Operation: 42/3=14
Exploring Operation: 26+3=29, Resulting Numbers: [42, 29]
Generated Node #0,4,4: 12:[42, 29] Operation: 26+3=29
Moving to Node #0,4,0
Current State: 12:[3, 16], Operations: ['33-30=3', '42-26=16']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,12 unequal: No Solution
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,12 unequal: No Solution
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Moving to Node #0,4,3
Current State: 12:[26, 14], Operations: ['33-30=3', '42/3=14']
Exploring Operation: 26*14=364, Resulting Numbers: [364]
364,12 unequal: No Solution
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[33, 26, 42, 30], Operations: []
Exploring Operation: 33-30=3, Resulting Numbers: [26, 42, 3]
Generated Node #0,4: 12:[26, 42, 3] Operation: 33-30=3
Moving to Node #0,4
Current State: 12:[26, 42, 3], Operations: ['33-30=3']
Exploring Operation: 42/3=14, Resulting Numbers: [26, 14]
Generated Node #0,4,3: 12:[26, 14] Operation: 42/3=14
Moving to Node #0,4,3
Current State: 12:[26, 14], Operations: ['33-30=3', '42/3=14']
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.931424 | hs_5 | mult_heuristic |
[
51,
51,
29,
4
] | 71 | [
"51+29=80",
"80/4=20",
"51+20=71"
] | Current State: 71:[51, 51, 29, 4], Operations: []
Exploring Operation: 51+29=80, Resulting Numbers: [4, 80]
Generated Node #2: [4, 80] from Operation: 51+29=80
Current State: 71:[4, 80], Operations: ['51+29=80']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,71 equal: Goal Reached
Exploring Operation: 51+20=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[51, 51, 29, 4], Operations: []
Exploring Operation: 51+4=55, Resulting Numbers: [51, 29, 55]
Generated Node #0,0: 71:[51, 29, 55] Operation: 51+4=55
Exploring Operation: 51+4=55, Resulting Numbers: [51, 29, 55]
Generated Node #0,1: 71:[51, 29, 55] Operation: 51+4=55
Exploring Operation: 29+4=33, Resulting Numbers: [51, 51, 33]
Generated Node #0,2: 71:[51, 51, 33] Operation: 29+4=33
Moving to Node #0,0
Current State: 71:[51, 29, 55], Operations: ['51+4=55']
Exploring Operation: 51+29=80, Resulting Numbers: [55, 80]
Generated Node #0,0,0: 71:[55, 80] Operation: 51+29=80
Exploring Operation: 51-29=22, Resulting Numbers: [55, 22]
Generated Node #0,0,1: 71:[55, 22] Operation: 51-29=22
Exploring Operation: 29+55=84, Resulting Numbers: [51, 84]
Generated Node #0,0,2: 71:[51, 84] Operation: 29+55=84
Moving to Node #0,1
Current State: 71:[51, 29, 55], Operations: ['51+4=55']
Exploring Operation: 51+29=80, Resulting Numbers: [55, 80]
Generated Node #0,1,0: 71:[55, 80] Operation: 51+29=80
Exploring Operation: 51-29=22, Resulting Numbers: [55, 22]
Generated Node #0,1,1: 71:[55, 22] Operation: 51-29=22
Exploring Operation: 29+55=84, Resulting Numbers: [51, 84]
Generated Node #0,1,2: 71:[51, 84] Operation: 29+55=84
Moving to Node #0,2
Current State: 71:[51, 51, 33], Operations: ['29+4=33']
Exploring Operation: 51+51=102, Resulting Numbers: [33, 102]
Generated Node #0,2,0: 71:[33, 102] Operation: 51+51=102
Exploring Operation: 51+33=84, Resulting Numbers: [51, 84]
Generated Node #0,2,1: 71:[51, 84] Operation: 51+33=84
Exploring Operation: 51+33=84, Resulting Numbers: [51, 84]
Generated Node #0,2,2: 71:[51, 84] Operation: 51+33=84
Moving to Node #0,0,0
Current State: 71:[55, 80], Operations: ['51+4=55', '51+29=80']
Exploring Operation: 55*80=4400, Resulting Numbers: [4400]
4400,71 unequal: No Solution
Exploring Operation: 80-55=25, Resulting Numbers: [25]
25,71 unequal: No Solution
Exploring Operation: 55+80=135, Resulting Numbers: [135]
135,71 unequal: No Solution
Moving to Node #0,1,0
Current State: 71:[55, 80], Operations: ['51+4=55', '51+29=80']
Exploring Operation: 55+80=135, Resulting Numbers: [135]
135,71 unequal: No Solution
Exploring Operation: 55*80=4400, Resulting Numbers: [4400]
4400,71 unequal: No Solution
Exploring Operation: 80-55=25, Resulting Numbers: [25]
25,71 unequal: No Solution
Moving to Node #0,2,1
Current State: 71:[51, 84], Operations: ['29+4=33', '51+33=84']
Exploring Operation: 51+84=135, Resulting Numbers: [135]
135,71 unequal: No Solution
Exploring Operation: 51*84=4284, Resulting Numbers: [4284]
4284,71 unequal: No Solution
Exploring Operation: 84-51=33, Resulting Numbers: [33]
33,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[51, 84], Operations: ['29+4=33', '51+33=84']
Exploring Operation: 84-51=33, Resulting Numbers: [33]
33,71 unequal: No Solution
Exploring Operation: 51*84=4284, Resulting Numbers: [4284]
4284,71 unequal: No Solution
Exploring Operation: 51+84=135, Resulting Numbers: [135]
135,71 unequal: No Solution
Moving to Node #0,1,2
Current State: 71:[51, 84], Operations: ['51+4=55', '29+55=84']
Exploring Operation: 84-51=33, Resulting Numbers: [33]
33,71 unequal: No Solution
Exploring Operation: 51*84=4284, Resulting Numbers: [4284]
4284,71 unequal: No Solution
Exploring Operation: 51+84=135, Resulting Numbers: [135]
135,71 unequal: No Solution
Moving to Node #0,0,2
Current State: 71:[51, 84], Operations: ['51+4=55', '29+55=84']
Exploring Operation: 51+84=135, Resulting Numbers: [135]
135,71 unequal: No Solution
Exploring Operation: 84-51=33, Resulting Numbers: [33]
33,71 unequal: No Solution
Exploring Operation: 51*84=4284, Resulting Numbers: [4284]
4284,71 unequal: No Solution
Moving to Node #0,1,1
Current State: 71:[55, 22], Operations: ['51+4=55', '51-29=22']
Exploring Operation: 55*22=1210, Resulting Numbers: [1210]
1210,71 unequal: No Solution
Exploring Operation: 55-22=33, Resulting Numbers: [33]
33,71 unequal: No Solution
Exploring Operation: 55+22=77, Resulting Numbers: [77]
77,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[55, 22], Operations: ['51+4=55', '51-29=22']
Exploring Operation: 55*22=1210, Resulting Numbers: [1210]
1210,71 unequal: No Solution
Exploring Operation: 55-22=33, Resulting Numbers: [33]
33,71 unequal: No Solution
Exploring Operation: 55+22=77, Resulting Numbers: [77]
77,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[33, 102], Operations: ['29+4=33', '51+51=102']
Exploring Operation: 102-33=69, Resulting Numbers: [69]
69,71 unequal: No Solution
Exploring Operation: 33+102=135, Resulting Numbers: [135]
135,71 unequal: No Solution
Exploring Operation: 33*102=3366, Resulting Numbers: [3366]
3366,71 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
12,
65,
38,
2
] | 89 | [
"65-12=53",
"38-2=36",
"53+36=89"
] | Current State: 89:[12, 65, 38, 2], Operations: []
Exploring Operation: 65-12=53, Resulting Numbers: [38, 2, 53]
Generated Node #2: [38, 2, 53] from Operation: 65-12=53
Current State: 89:[38, 2, 53], Operations: ['65-12=53']
Exploring Operation: 38-2=36, Resulting Numbers: [53, 36]
Generated Node #3: [53, 36] from Operation: 38-2=36
Current State: 89:[53, 36], Operations: ['65-12=53', '38-2=36']
Exploring Operation: 53+36=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[12, 65, 38, 2], Operations: []
Exploring Operation: 12+38=50, Resulting Numbers: [65, 2, 50]
Generated Node #0,0: 89:[65, 2, 50] Operation: 12+38=50
Exploring Operation: 12*2=24, Resulting Numbers: [65, 38, 24]
Generated Node #0,1: 89:[65, 38, 24] Operation: 12*2=24
Exploring Operation: 38*2=76, Resulting Numbers: [12, 65, 76]
Generated Node #0,2: 89:[12, 65, 76] Operation: 38*2=76
Exploring Operation: 12+65=77, Resulting Numbers: [38, 2, 77]
Generated Node #0,3: 89:[38, 2, 77] Operation: 12+65=77
Moving to Node #0,2
Current State: 89:[12, 65, 76], Operations: ['38*2=76']
Exploring Operation: 12+76=88, Resulting Numbers: [65, 88]
Generated Node #0,2,0: 89:[65, 88] Operation: 12+76=88
Exploring Operation: 76-12=64, Resulting Numbers: [65, 64]
Generated Node #0,2,1: 89:[65, 64] Operation: 76-12=64
Exploring Operation: 12+65=77, Resulting Numbers: [76, 77]
Generated Node #0,2,2: 89:[76, 77] Operation: 12+65=77
Exploring Operation: 65-12=53, Resulting Numbers: [76, 53]
Generated Node #0,2,3: 89:[76, 53] Operation: 65-12=53
Moving to Node #0,1
Current State: 89:[65, 38, 24], Operations: ['12*2=24']
Exploring Operation: 65-24=41, Resulting Numbers: [38, 41]
Generated Node #0,1,0: 89:[38, 41] Operation: 65-24=41
Exploring Operation: 65+38=103, Resulting Numbers: [24, 103]
Generated Node #0,1,1: 89:[24, 103] Operation: 65+38=103
Exploring Operation: 65+24=89, Resulting Numbers: [38, 89]
Generated Node #0,1,2: 89:[38, 89] Operation: 65+24=89
Exploring Operation: 38+24=62, Resulting Numbers: [65, 62]
Generated Node #0,1,3: 89:[65, 62] Operation: 38+24=62
Moving to Node #0,3
Current State: 89:[38, 2, 77], Operations: ['12+65=77']
Exploring Operation: 38-2=36, Resulting Numbers: [77, 36]
Generated Node #0,3,0: 89:[77, 36] Operation: 38-2=36
Exploring Operation: 38+2=40, Resulting Numbers: [77, 40]
Generated Node #0,3,1: 89:[77, 40] Operation: 38+2=40
Exploring Operation: 38*2=76, Resulting Numbers: [77, 76]
Generated Node #0,3,2: 89:[77, 76] Operation: 38*2=76
Exploring Operation: 2+77=79, Resulting Numbers: [38, 79]
Generated Node #0,3,3: 89:[38, 79] Operation: 2+77=79
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 89:[77, 76], Operations: ['12+65=77', '38*2=76']
Exploring Operation: 77*76=5852, Resulting Numbers: [5852]
5852,89 unequal: No Solution
Exploring Operation: 77+76=153, Resulting Numbers: [153]
153,89 unequal: No Solution
Exploring Operation: 77-76=1, Resulting Numbers: [1]
1,89 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 #0,3,1
Current State: 89:[77, 40], Operations: ['12+65=77', '38+2=40']
Exploring Operation: 77*40=3080, Resulting Numbers: [3080]
3080,89 unequal: No Solution
Exploring Operation: 77+40=117, Resulting Numbers: [117]
117,89 unequal: No Solution
Exploring Operation: 77-40=37, Resulting Numbers: [37]
37,89 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:[38, 79], Operations: ['12+65=77', '2+77=79']
Exploring Operation: 79-38=41, Resulting Numbers: [41]
41,89 unequal: No Solution
Exploring Operation: 38*79=3002, Resulting Numbers: [3002]
3002,89 unequal: No Solution
Exploring Operation: 38+79=117, Resulting Numbers: [117]
117,89 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:[77, 36], Operations: ['12+65=77', '38-2=36']
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,89 unequal: No Solution
Exploring Operation: 77+36=113, Resulting Numbers: [113]
113,89 unequal: No Solution
Exploring Operation: 77*36=2772, Resulting Numbers: [2772]
2772,89 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: 89:[65, 2, 50], Operations: ['12+38=50']
Exploring Operation: 2+50=52, Resulting Numbers: [65, 52]
Generated Node #0,0,0: 89:[65, 52] Operation: 2+50=52
Exploring Operation: 2*50=100, Resulting Numbers: [65, 100]
Generated Node #0,0,1: 89:[65, 100] Operation: 2*50=100
Exploring Operation: 65-2=63, Resulting Numbers: [50, 63]
Generated Node #0,0,2: 89:[50, 63] Operation: 65-2=63
Exploring Operation: 65+2=67, Resulting Numbers: [50, 67]
Generated Node #0,0,3: 89:[50, 67] Operation: 65+2=67
Moving to Node #0,2,0
Current State: 89:[65, 88], Operations: ['38*2=76', '12+76=88']
Exploring Operation: 88-65=23, Resulting Numbers: [23]
23,89 unequal: No Solution
Exploring Operation: 65*88=5720, Resulting Numbers: [5720]
5720,89 unequal: No Solution
Exploring Operation: 65+88=153, Resulting Numbers: [153]
153,89 unequal: No Solution
Moving to Node #0,2,2
Current State: 89:[76, 77], Operations: ['38*2=76', '12+65=77']
Exploring Operation: 77-76=1, Resulting Numbers: [1]
1,89 unequal: No Solution
Exploring Operation: 76*77=5852, Resulting Numbers: [5852]
5852,89 unequal: No Solution
Exploring Operation: 76+77=153, Resulting Numbers: [153]
153,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[65, 100], Operations: ['12+38=50', '2*50=100']
Exploring Operation: 65*100=6500, Resulting Numbers: [6500]
6500,89 unequal: No Solution
Exploring Operation: 65+100=165, Resulting Numbers: [165]
165,89 unequal: No Solution
Exploring Operation: 100-65=35, Resulting Numbers: [35]
35,89 unequal: No Solution
Moving to Node #0,2,1
Current State: 89:[65, 64], Operations: ['38*2=76', '76-12=64']
Exploring Operation: 65*64=4160, Resulting Numbers: [4160]
4160,89 unequal: No Solution
Exploring Operation: 65-64=1, Resulting Numbers: [1]
1,89 unequal: No Solution
Exploring Operation: 65+64=129, Resulting Numbers: [129]
129,89 unequal: No Solution
Moving to Node #0,2,3
Current State: 89:[76, 53], Operations: ['38*2=76', '65-12=53']
Exploring Operation: 76*53=4028, Resulting Numbers: [4028]
4028,89 unequal: No Solution
Exploring Operation: 76-53=23, Resulting Numbers: [23]
23,89 unequal: No Solution
Exploring Operation: 76+53=129, Resulting Numbers: [129]
129,89 unequal: No Solution
Moving to Node #0,1,3
Current State: 89:[65, 62], Operations: ['12*2=24', '38+24=62']
Exploring Operation: 65*62=4030, Resulting Numbers: [4030]
4030,89 unequal: No Solution
Exploring Operation: 65+62=127, Resulting Numbers: [127]
127,89 unequal: No Solution
Exploring Operation: 65-62=3, Resulting Numbers: [3]
3,89 unequal: No Solution
Moving to Node #0,1,2
Current State: 89:[38, 89], Operations: ['12*2=24', '65+24=89']
Exploring Operation: 89-38=51, Resulting Numbers: [51]
51,89 unequal: No Solution
Exploring Operation: 38*89=3382, Resulting Numbers: [3382]
3382,89 unequal: No Solution
Exploring Operation: 38+89=127, Resulting Numbers: [127]
127,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[65, 52], Operations: ['12+38=50', '2+50=52']
Exploring Operation: 65*52=3380, Resulting Numbers: [3380]
3380,89 unequal: No Solution
Exploring Operation: 65-52=13, Resulting Numbers: [13]
13,89 unequal: No Solution
Exploring Operation: 65+52=117, Resulting Numbers: [117]
117,89 unequal: No Solution
Moving to Node #0,0,3
Current State: 89:[50, 67], Operations: ['12+38=50', '65+2=67']
Exploring Operation: 50+67=117, Resulting Numbers: [117]
117,89 unequal: No Solution
Exploring Operation: 67-50=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 50*67=3350, Resulting Numbers: [3350]
3350,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[50, 63], Operations: ['12+38=50', '65-2=63']
Exploring Operation: 63-50=13, Resulting Numbers: [13]
13,89 unequal: No Solution
Exploring Operation: 50+63=113, Resulting Numbers: [113]
113,89 unequal: No Solution
Exploring Operation: 50*63=3150, Resulting Numbers: [3150]
3150,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[24, 103], Operations: ['12*2=24', '65+38=103']
Exploring Operation: 24+103=127, Resulting Numbers: [127]
127,89 unequal: No Solution
Exploring Operation: 24*103=2472, Resulting Numbers: [2472]
2472,89 unequal: No Solution
Exploring Operation: 103-24=79, Resulting Numbers: [79]
79,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[38, 41], Operations: ['12*2=24', '65-24=41']
Exploring Operation: 38*41=1558, Resulting Numbers: [1558]
1558,89 unequal: No Solution
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,89 unequal: No Solution
Exploring Operation: 38+41=79, Resulting Numbers: [79]
79,89 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
87,
2,
37,
1
] | 11 | [
"37+1=38",
"2*38=76",
"87-76=11"
] | Current State: 11:[87, 2, 37, 1], Operations: []
Exploring Operation: 37+1=38, Resulting Numbers: [87, 2, 38]
Generated Node #2: [87, 2, 38] from Operation: 37+1=38
Current State: 11:[87, 2, 38], Operations: ['37+1=38']
Exploring Operation: 2*38=76, Resulting Numbers: [87, 76]
Generated Node #3: [87, 76] from Operation: 2*38=76
Current State: 11:[87, 76], Operations: ['37+1=38', '2*38=76']
Exploring Operation: 87-76=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[87, 2, 37, 1], Operations: []
Exploring Operation: 87-37=50, Resulting Numbers: [2, 1, 50]
Generated Node #0,0: 11:[2, 1, 50] Operation: 87-37=50
Exploring Operation: 87-2=85, Resulting Numbers: [37, 1, 85]
Generated Node #0,1: 11:[37, 1, 85] Operation: 87-2=85
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[2, 1, 50], Operations: ['87-37=50']
Exploring Operation: 50/2=25, Resulting Numbers: [1, 25]
Generated Node #0,0,0: 11:[1, 25] Operation: 50/2=25
Exploring Operation: 2+1=3, Resulting Numbers: [50, 3]
Generated Node #0,0,1: 11:[50, 3] Operation: 2+1=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[1, 25], Operations: ['87-37=50', '50/2=25']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,11 unequal: No Solution
Exploring Operation: 1*25=25, Resulting Numbers: [25]
25,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 11:[50, 3], Operations: ['87-37=50', '2+1=3']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,11 unequal: No Solution
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,11 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[37, 1, 85], Operations: ['87-2=85']
Exploring Operation: 85-37=48, Resulting Numbers: [1, 48]
Generated Node #0,1,0: 11:[1, 48] Operation: 85-37=48
Exploring Operation: 37-1=36, Resulting Numbers: [85, 36]
Generated Node #0,1,1: 11:[85, 36] Operation: 37-1=36
Moving to Node #0,1,0
Current State: 11:[1, 48], Operations: ['87-2=85', '85-37=48']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,11 unequal: No Solution
Exploring Operation: 1*48=48, Resulting Numbers: [48]
48,11 unequal: No Solution
Moving to Node #0,1,1
Current State: 11:[85, 36], Operations: ['87-2=85', '37-1=36']
Exploring Operation: 85-36=49, Resulting Numbers: [49]
49,11 unequal: No Solution
Exploring Operation: 85+36=121, Resulting Numbers: [121]
121,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
77,
7,
78,
48
] | 59 | [
"78+48=126",
"126/7=18",
"77-18=59"
] | Current State: 59:[77, 7, 78, 48], Operations: []
Exploring Operation: 78+48=126, Resulting Numbers: [77, 7, 126]
Generated Node #2: [77, 7, 126] from Operation: 78+48=126
Current State: 59:[77, 7, 126], Operations: ['78+48=126']
Exploring Operation: 126/7=18, Resulting Numbers: [77, 18]
Generated Node #3: [77, 18] from Operation: 126/7=18
Current State: 59:[77, 18], Operations: ['78+48=126', '126/7=18']
Exploring Operation: 77-18=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[77, 7, 78, 48], Operations: []
Exploring Operation: 77-7=70, Resulting Numbers: [78, 48, 70]
Generated Node #0,0: 59:[78, 48, 70] Operation: 77-7=70
Exploring Operation: 78-7=71, Resulting Numbers: [77, 48, 71]
Generated Node #0,1: 59:[77, 48, 71] Operation: 78-7=71
Exploring Operation: 7+48=55, Resulting Numbers: [77, 78, 55]
Generated Node #0,2: 59:[77, 78, 55] Operation: 7+48=55
Moving to Node #0,0
Current State: 59:[78, 48, 70], Operations: ['77-7=70']
Exploring Operation: 70-48=22, Resulting Numbers: [78, 22]
Generated Node #0,0,0: 59:[78, 22] Operation: 70-48=22
Exploring Operation: 78-48=30, Resulting Numbers: [70, 30]
Generated Node #0,0,1: 59:[70, 30] Operation: 78-48=30
Exploring Operation: 78-70=8, Resulting Numbers: [48, 8]
Generated Node #0,0,2: 59:[48, 8] Operation: 78-70=8
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 59:[70, 30], Operations: ['77-7=70', '78-48=30']
Exploring Operation: 70+30=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Exploring Operation: 70-30=40, Resulting Numbers: [40]
40,59 unequal: No Solution
Exploring Operation: 70*30=2100, Resulting Numbers: [2100]
2100,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[78, 22], Operations: ['77-7=70', '70-48=22']
Exploring Operation: 78*22=1716, Resulting Numbers: [1716]
1716,59 unequal: No Solution
Exploring Operation: 78+22=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Exploring Operation: 78-22=56, Resulting Numbers: [56]
56,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 59:[48, 8], Operations: ['77-7=70', '78-70=8']
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,59 unequal: No Solution
Exploring Operation: 48+8=56, Resulting Numbers: [56]
56,59 unequal: No Solution
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,59 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: 59:[77, 48, 71], Operations: ['78-7=71']
Exploring Operation: 77-71=6, Resulting Numbers: [48, 6]
Generated Node #0,1,0: 59:[48, 6] Operation: 77-71=6
Exploring Operation: 77-48=29, Resulting Numbers: [71, 29]
Generated Node #0,1,1: 59:[71, 29] Operation: 77-48=29
Exploring Operation: 71-48=23, Resulting Numbers: [77, 23]
Generated Node #0,1,2: 59:[77, 23] Operation: 71-48=23
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 59:[71, 29], Operations: ['78-7=71', '77-48=29']
Exploring Operation: 71-29=42, Resulting Numbers: [42]
42,59 unequal: No Solution
Exploring Operation: 71+29=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Exploring Operation: 71*29=2059, Resulting Numbers: [2059]
2059,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 59:[77, 23], Operations: ['78-7=71', '71-48=23']
Exploring Operation: 77-23=54, Resulting Numbers: [54]
54,59 unequal: No Solution
Exploring Operation: 77*23=1771, Resulting Numbers: [1771]
1771,59 unequal: No Solution
Exploring Operation: 77+23=100, Resulting Numbers: [100]
100,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 59:[48, 6], Operations: ['78-7=71', '77-71=6']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,59 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 59:[77, 78, 55], Operations: ['7+48=55']
Exploring Operation: 78-55=23, Resulting Numbers: [77, 23]
Generated Node #0,2,0: 59:[77, 23] Operation: 78-55=23
Exploring Operation: 78-77=1, Resulting Numbers: [55, 1]
Generated Node #0,2,1: 59:[55, 1] Operation: 78-77=1
Exploring Operation: 77-55=22, Resulting Numbers: [78, 22]
Generated Node #0,2,2: 59:[78, 22] Operation: 77-55=22
Moving to Node #0,2,0
Current State: 59:[77, 23], Operations: ['7+48=55', '78-55=23']
Exploring Operation: 77*23=1771, Resulting Numbers: [1771]
1771,59 unequal: No Solution
Exploring Operation: 77+23=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Exploring Operation: 77-23=54, Resulting Numbers: [54]
54,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[78, 22], Operations: ['7+48=55', '77-55=22']
Exploring Operation: 78*22=1716, Resulting Numbers: [1716]
1716,59 unequal: No Solution
Exploring Operation: 78-22=56, Resulting Numbers: [56]
56,59 unequal: No Solution
Exploring Operation: 78+22=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[55, 1], Operations: ['7+48=55', '78-77=1']
Exploring Operation: 55*1=55, Resulting Numbers: [55]
55,59 unequal: No Solution
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,59 unequal: No Solution
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,59 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
7,
92,
70,
93
] | 64 | [
"7+92=99",
"70+93=163",
"163-99=64"
] | Current State: 64:[7, 92, 70, 93], Operations: []
Exploring Operation: 7+92=99, Resulting Numbers: [70, 93, 99]
Generated Node #2: [70, 93, 99] from Operation: 7+92=99
Current State: 64:[70, 93, 99], Operations: ['7+92=99']
Exploring Operation: 70+93=163, Resulting Numbers: [99, 163]
Generated Node #3: [99, 163] from Operation: 70+93=163
Current State: 64:[99, 163], Operations: ['7+92=99', '70+93=163']
Exploring Operation: 163-99=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[7, 92, 70, 93], Operations: []
Exploring Operation: 93-92=1, Resulting Numbers: [7, 70, 1]
Generated Node #0,0: 64:[7, 70, 1] Operation: 93-92=1
Exploring Operation: 92-70=22, Resulting Numbers: [7, 93, 22]
Generated Node #0,1: 64:[7, 93, 22] Operation: 92-70=22
Moving to Node #0,0
Current State: 64:[7, 70, 1], Operations: ['93-92=1']
Exploring Operation: 70-7=63, Resulting Numbers: [1, 63]
Generated Node #0,0,0: 64:[1, 63] Operation: 70-7=63
Exploring Operation: 70/7=10, Resulting Numbers: [1, 10]
Generated Node #0,0,1: 64:[1, 10] Operation: 70/7=10
Moving to Node #0,1
Current State: 64:[7, 93, 22], Operations: ['92-70=22']
Exploring Operation: 93-22=71, Resulting Numbers: [7, 71]
Generated Node #0,1,0: 64:[7, 71] Operation: 93-22=71
Exploring Operation: 93-7=86, Resulting Numbers: [22, 86]
Generated Node #0,1,1: 64:[22, 86] Operation: 93-7=86
Moving to Node #0,0,0
Current State: 64:[1, 63], Operations: ['93-92=1', '70-7=63']
Exploring Operation: 1*63=63, Resulting Numbers: [63]
63,64 unequal: No Solution
Exploring Operation: 1+63=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[7, 92, 70, 93], Operations: []
Exploring Operation: 93-92=1, Resulting Numbers: [7, 70, 1]
Generated Node #0,0: 64:[7, 70, 1] Operation: 93-92=1
Moving to Node #0,0
Current State: 64:[7, 70, 1], Operations: ['93-92=1']
Exploring Operation: 70-7=63, Resulting Numbers: [1, 63]
Generated Node #0,0,0: 64:[1, 63] Operation: 70-7=63
Moving to Node #0,0,0
Current State: 64:[1, 63], Operations: ['93-92=1', '70-7=63']
Exploring Operation: 1+63=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
53,
5,
87,
84
] | 61 | [
"53+5=58",
"87-84=3",
"58+3=61"
] | Current State: 61:[53, 5, 87, 84], Operations: []
Exploring Operation: 53+5=58, Resulting Numbers: [87, 84, 58]
Generated Node #2: [87, 84, 58] from Operation: 53+5=58
Current State: 61:[87, 84, 58], Operations: ['53+5=58']
Exploring Operation: 87-84=3, Resulting Numbers: [58, 3]
Generated Node #3: [58, 3] from Operation: 87-84=3
Current State: 61:[58, 3], Operations: ['53+5=58', '87-84=3']
Exploring Operation: 58+3=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[53, 5, 87, 84], Operations: []
Exploring Operation: 84-5=79, Resulting Numbers: [53, 87, 79]
Generated Node #0,0: 61:[53, 87, 79] Operation: 84-5=79
Exploring Operation: 87-5=82, Resulting Numbers: [53, 84, 82]
Generated Node #0,1: 61:[53, 84, 82] Operation: 87-5=82
Exploring Operation: 53+5=58, Resulting Numbers: [87, 84, 58]
Generated Node #0,2: 61:[87, 84, 58] Operation: 53+5=58
Exploring Operation: 53-5=48, Resulting Numbers: [87, 84, 48]
Generated Node #0,3: 61:[87, 84, 48] Operation: 53-5=48
Moving to Node #0,0
Current State: 61:[53, 87, 79], Operations: ['84-5=79']
Exploring Operation: 87-53=34, Resulting Numbers: [79, 34]
Generated Node #0,0,0: 61:[79, 34] Operation: 87-53=34
Exploring Operation: 79-53=26, Resulting Numbers: [87, 26]
Generated Node #0,0,1: 61:[87, 26] Operation: 79-53=26
Exploring Operation: 87-79=8, Resulting Numbers: [53, 8]
Generated Node #0,0,2: 61:[53, 8] Operation: 87-79=8
Exploring Operation: 53+87=140, Resulting Numbers: [79, 140]
Generated Node #0,0,3: 61:[79, 140] Operation: 53+87=140
Moving to Node #0,2
Current State: 61:[87, 84, 58], Operations: ['53+5=58']
Exploring Operation: 84-58=26, Resulting Numbers: [87, 26]
Generated Node #0,2,0: 61:[87, 26] Operation: 84-58=26
Exploring Operation: 87+58=145, Resulting Numbers: [84, 145]
Generated Node #0,2,1: 61:[84, 145] Operation: 87+58=145
Exploring Operation: 87-58=29, Resulting Numbers: [84, 29]
Generated Node #0,2,2: 61:[84, 29] Operation: 87-58=29
Exploring Operation: 87-84=3, Resulting Numbers: [58, 3]
Generated Node #0,2,3: 61:[58, 3] Operation: 87-84=3
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 61:[84, 29], Operations: ['53+5=58', '87-58=29']
Exploring Operation: 84-29=55, Resulting Numbers: [55]
55,61 unequal: No Solution
Exploring Operation: 84+29=113, Resulting Numbers: [113]
113,61 unequal: No Solution
Exploring Operation: 84*29=2436, Resulting Numbers: [2436]
2436,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 61:[87, 26], Operations: ['53+5=58', '84-58=26']
Exploring Operation: 87-26=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[53, 5, 87, 84], Operations: []
Exploring Operation: 53+5=58, Resulting Numbers: [87, 84, 58]
Generated Node #0,2: 61:[87, 84, 58] Operation: 53+5=58
Moving to Node #0,2
Current State: 61:[87, 84, 58], Operations: ['53+5=58']
Exploring Operation: 84-58=26, Resulting Numbers: [87, 26]
Generated Node #0,2,0: 61:[87, 26] Operation: 84-58=26
Moving to Node #0,2,0
Current State: 61:[87, 26], Operations: ['53+5=58', '84-58=26']
Exploring Operation: 87-26=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
79,
77,
35,
3
] | 73 | [
"79-77=2",
"35*2=70",
"3+70=73"
] | Current State: 73:[79, 77, 35, 3], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [35, 3, 2]
Generated Node #2: [35, 3, 2] from Operation: 79-77=2
Current State: 73:[35, 3, 2], Operations: ['79-77=2']
Exploring Operation: 35*2=70, Resulting Numbers: [3, 70]
Generated Node #3: [3, 70] from Operation: 35*2=70
Current State: 73:[3, 70], Operations: ['79-77=2', '35*2=70']
Exploring Operation: 3+70=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[79, 77, 35, 3], Operations: []
Exploring Operation: 35*3=105, Resulting Numbers: [79, 77, 105]
Generated Node #0,0: 73:[79, 77, 105] Operation: 35*3=105
Exploring Operation: 79-3=76, Resulting Numbers: [77, 35, 76]
Generated Node #0,1: 73:[77, 35, 76] Operation: 79-3=76
Exploring Operation: 77-3=74, Resulting Numbers: [79, 35, 74]
Generated Node #0,2: 73:[79, 35, 74] Operation: 77-3=74
Moving to Node #0,0
Current State: 73:[79, 77, 105], Operations: ['35*3=105']
Exploring Operation: 105-77=28, Resulting Numbers: [79, 28]
Generated Node #0,0,0: 73:[79, 28] Operation: 105-77=28
Exploring Operation: 79-77=2, Resulting Numbers: [105, 2]
Generated Node #0,0,1: 73:[105, 2] Operation: 79-77=2
Exploring Operation: 105-79=26, Resulting Numbers: [77, 26]
Generated Node #0,0,2: 73:[77, 26] Operation: 105-79=26
Moving to Node #0,1
Current State: 73:[77, 35, 76], Operations: ['79-3=76']
Exploring Operation: 77-35=42, Resulting Numbers: [76, 42]
Generated Node #0,1,0: 73:[76, 42] Operation: 77-35=42
Exploring Operation: 77+35=112, Resulting Numbers: [76, 112]
Generated Node #0,1,1: 73:[76, 112] Operation: 77+35=112
Exploring Operation: 76-35=41, Resulting Numbers: [77, 41]
Generated Node #0,1,2: 73:[77, 41] Operation: 76-35=41
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[76, 42], Operations: ['79-3=76', '77-35=42']
Exploring Operation: 76-42=34, Resulting Numbers: [34]
34,73 unequal: No Solution
Exploring Operation: 76*42=3192, Resulting Numbers: [3192]
3192,73 unequal: No Solution
Exploring Operation: 76+42=118, Resulting Numbers: [118]
118,73 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:[77, 41], Operations: ['79-3=76', '76-35=41']
Exploring Operation: 77*41=3157, Resulting Numbers: [3157]
3157,73 unequal: No Solution
Exploring Operation: 77-41=36, Resulting Numbers: [36]
36,73 unequal: No Solution
Exploring Operation: 77+41=118, Resulting Numbers: [118]
118,73 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 #0,1,1
Current State: 73:[76, 112], Operations: ['79-3=76', '77+35=112']
Exploring Operation: 76*112=8512, Resulting Numbers: [8512]
8512,73 unequal: No Solution
Exploring Operation: 76+112=188, Resulting Numbers: [188]
188,73 unequal: No Solution
Exploring Operation: 112-76=36, Resulting Numbers: [36]
36,73 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:[79, 35, 74], Operations: ['77-3=74']
Exploring Operation: 79+35=114, Resulting Numbers: [74, 114]
Generated Node #0,2,0: 73:[74, 114] Operation: 79+35=114
Exploring Operation: 74-35=39, Resulting Numbers: [79, 39]
Generated Node #0,2,1: 73:[79, 39] Operation: 74-35=39
Exploring Operation: 79-35=44, Resulting Numbers: [74, 44]
Generated Node #0,2,2: 73:[74, 44] Operation: 79-35=44
Moving to Node #0,2,2
Current State: 73:[74, 44], Operations: ['77-3=74', '79-35=44']
Exploring Operation: 74+44=118, Resulting Numbers: [118]
118,73 unequal: No Solution
Exploring Operation: 74*44=3256, Resulting Numbers: [3256]
3256,73 unequal: No Solution
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[79, 39], Operations: ['77-3=74', '74-35=39']
Exploring Operation: 79*39=3081, Resulting Numbers: [3081]
3081,73 unequal: No Solution
Exploring Operation: 79+39=118, Resulting Numbers: [118]
118,73 unequal: No Solution
Exploring Operation: 79-39=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[74, 114], Operations: ['77-3=74', '79+35=114']
Exploring Operation: 114-74=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Exploring Operation: 74+114=188, Resulting Numbers: [188]
188,73 unequal: No Solution
Exploring Operation: 74*114=8436, Resulting Numbers: [8436]
8436,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[79, 28], Operations: ['35*3=105', '105-77=28']
Exploring Operation: 79+28=107, Resulting Numbers: [107]
107,73 unequal: No Solution
Exploring Operation: 79*28=2212, Resulting Numbers: [2212]
2212,73 unequal: No Solution
Exploring Operation: 79-28=51, Resulting Numbers: [51]
51,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[77, 26], Operations: ['35*3=105', '105-79=26']
Exploring Operation: 77*26=2002, Resulting Numbers: [2002]
2002,73 unequal: No Solution
Exploring Operation: 77+26=103, Resulting Numbers: [103]
103,73 unequal: No Solution
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[105, 2], Operations: ['35*3=105', '79-77=2']
Exploring Operation: 105+2=107, Resulting Numbers: [107]
107,73 unequal: No Solution
Exploring Operation: 105-2=103, Resulting Numbers: [103]
103,73 unequal: No Solution
Exploring Operation: 105*2=210, Resulting Numbers: [210]
210,73 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
27,
24,
94,
78
] | 13 | [
"27-24=3",
"94-78=16",
"16-3=13"
] | Current State: 13:[27, 24, 94, 78], Operations: []
Exploring Operation: 27-24=3, Resulting Numbers: [94, 78, 3]
Generated Node #2: [94, 78, 3] from Operation: 27-24=3
Current State: 13:[94, 78, 3], Operations: ['27-24=3']
Exploring Operation: 94-78=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 94-78=16
Current State: 13:[3, 16], Operations: ['27-24=3', '94-78=16']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[27, 24, 94, 78], Operations: []
Exploring Operation: 94-27=67, Resulting Numbers: [24, 78, 67]
Generated Node #0,0: 13:[24, 78, 67] Operation: 94-27=67
Exploring Operation: 94-78=16, Resulting Numbers: [27, 24, 16]
Generated Node #0,1: 13:[27, 24, 16] Operation: 94-78=16
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[27, 24, 16], Operations: ['94-78=16']
Exploring Operation: 27-16=11, Resulting Numbers: [24, 11]
Generated Node #0,1,0: 13:[24, 11] Operation: 27-16=11
Exploring Operation: 27-24=3, Resulting Numbers: [16, 3]
Generated Node #0,1,1: 13:[16, 3] Operation: 27-24=3
Moving to Node #0,1,0
Current State: 13:[24, 11], Operations: ['94-78=16', '27-16=11']
Exploring Operation: 24+11=35, Resulting Numbers: [35]
35,13 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[27, 24, 94, 78], Operations: []
Exploring Operation: 94-78=16, Resulting Numbers: [27, 24, 16]
Generated Node #0,1: 13:[27, 24, 16] Operation: 94-78=16
Moving to Node #0,1
Current State: 13:[27, 24, 16], Operations: ['94-78=16']
Exploring Operation: 27-16=11, Resulting Numbers: [24, 11]
Generated Node #0,1,0: 13:[24, 11] Operation: 27-16=11
Moving to Node #0,1,0
Current State: 13:[24, 11], Operations: ['94-78=16', '27-16=11']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
10,
69,
45,
55
] | 79 | [
"45+55=100",
"100/10=10",
"69+10=79"
] | Current State: 79:[10, 69, 45, 55], Operations: []
Exploring Operation: 45+55=100, Resulting Numbers: [10, 69, 100]
Generated Node #2: [10, 69, 100] from Operation: 45+55=100
Current State: 79:[10, 69, 100], Operations: ['45+55=100']
Exploring Operation: 100/10=10, Resulting Numbers: [69, 10]
Generated Node #3: [69, 10] from Operation: 100/10=10
Current State: 79:[69, 10], Operations: ['45+55=100', '100/10=10']
Exploring Operation: 69+10=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[10, 69, 45, 55], Operations: []
Exploring Operation: 69-10=59, Resulting Numbers: [45, 55, 59]
Generated Node #0,0: 79:[45, 55, 59] Operation: 69-10=59
Exploring Operation: 10+55=65, Resulting Numbers: [69, 45, 65]
Generated Node #0,1: 79:[69, 45, 65] Operation: 10+55=65
Exploring Operation: 10+69=79, Resulting Numbers: [45, 55, 79]
Generated Node #0,2: 79:[45, 55, 79] Operation: 10+69=79
Exploring Operation: 10+45=55, Resulting Numbers: [69, 55, 55]
Generated Node #0,3: 79:[69, 55, 55] Operation: 10+45=55
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[69, 45, 65], Operations: ['10+55=65']
Exploring Operation: 45+65=110, Resulting Numbers: [69, 110]
Generated Node #0,1,0: 79:[69, 110] Operation: 45+65=110
Exploring Operation: 65-45=20, Resulting Numbers: [69, 20]
Generated Node #0,1,1: 79:[69, 20] Operation: 65-45=20
Exploring Operation: 69+45=114, Resulting Numbers: [65, 114]
Generated Node #0,1,2: 79:[65, 114] Operation: 69+45=114
Exploring Operation: 69-45=24, Resulting Numbers: [65, 24]
Generated Node #0,1,3: 79:[65, 24] Operation: 69-45=24
Moving to Node #0,1,0
Current State: 79:[69, 110], Operations: ['10+55=65', '45+65=110']
Exploring Operation: 69+110=179, Resulting Numbers: [179]
179,79 unequal: No Solution
Exploring Operation: 110-69=41, Resulting Numbers: [41]
41,79 unequal: No Solution
Exploring Operation: 69*110=7590, Resulting Numbers: [7590]
7590,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[65, 114], Operations: ['10+55=65', '69+45=114']
Exploring Operation: 65+114=179, Resulting Numbers: [179]
179,79 unequal: No Solution
Exploring Operation: 65*114=7410, Resulting Numbers: [7410]
7410,79 unequal: No Solution
Exploring Operation: 114-65=49, Resulting Numbers: [49]
49,79 unequal: No Solution
Moving to Node #0,1,3
Current State: 79:[65, 24], Operations: ['10+55=65', '69-45=24']
Exploring Operation: 65-24=41, Resulting Numbers: [41]
41,79 unequal: No Solution
Exploring Operation: 65+24=89, Resulting Numbers: [89]
89,79 unequal: No Solution
Exploring Operation: 65*24=1560, Resulting Numbers: [1560]
1560,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[69, 20], Operations: ['10+55=65', '65-45=20']
Exploring Operation: 69*20=1380, Resulting Numbers: [1380]
1380,79 unequal: No Solution
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,79 unequal: No Solution
Exploring Operation: 69+20=89, Resulting Numbers: [89]
89,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[45, 55, 79], Operations: ['10+69=79']
Exploring Operation: 79-45=34, Resulting Numbers: [55, 34]
Generated Node #0,2,0: 79:[55, 34] Operation: 79-45=34
Exploring Operation: 45+79=124, Resulting Numbers: [55, 124]
Generated Node #0,2,1: 79:[55, 124] Operation: 45+79=124
Exploring Operation: 45+55=100, Resulting Numbers: [79, 100]
Generated Node #0,2,2: 79:[79, 100] Operation: 45+55=100
Exploring Operation: 55-45=10, Resulting Numbers: [79, 10]
Generated Node #0,2,3: 79:[79, 10] Operation: 55-45=10
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 79:[79, 100], Operations: ['10+69=79', '45+55=100']
Exploring Operation: 79+100=179, Resulting Numbers: [179]
179,79 unequal: No Solution
Exploring Operation: 100-79=21, Resulting Numbers: [21]
21,79 unequal: No Solution
Exploring Operation: 79*100=7900, Resulting Numbers: [7900]
7900,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 79:[55, 34], Operations: ['10+69=79', '79-45=34']
Exploring Operation: 55*34=1870, Resulting Numbers: [1870]
1870,79 unequal: No Solution
Exploring Operation: 55+34=89, Resulting Numbers: [89]
89,79 unequal: No Solution
Exploring Operation: 55-34=21, Resulting Numbers: [21]
21,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 79:[55, 124], Operations: ['10+69=79', '45+79=124']
Exploring Operation: 55*124=6820, Resulting Numbers: [6820]
6820,79 unequal: No Solution
Exploring Operation: 124-55=69, Resulting Numbers: [69]
69,79 unequal: No Solution
Exploring Operation: 55+124=179, Resulting Numbers: [179]
179,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 79:[79, 10], Operations: ['10+69=79', '55-45=10']
Exploring Operation: 79+10=89, Resulting Numbers: [89]
89,79 unequal: No Solution
Exploring Operation: 79-10=69, Resulting Numbers: [69]
69,79 unequal: No Solution
Exploring Operation: 79*10=790, Resulting Numbers: [790]
790,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 79:[69, 55, 55], Operations: ['10+45=55']
Exploring Operation: 69+55=124, Resulting Numbers: [55, 124]
Generated Node #0,3,0: 79:[55, 124] Operation: 69+55=124
Exploring Operation: 55/55=1, Resulting Numbers: [69, 1]
Generated Node #0,3,1: 79:[69, 1] Operation: 55/55=1
Exploring Operation: 55+55=110, Resulting Numbers: [69, 110]
Generated Node #0,3,2: 79:[69, 110] Operation: 55+55=110
Exploring Operation: 69+55=124, Resulting Numbers: [55, 124]
Generated Node #0,3,3: 79:[55, 124] Operation: 69+55=124
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 79:[69, 110], Operations: ['10+45=55', '55+55=110']
Exploring Operation: 69+110=179, Resulting Numbers: [179]
179,79 unequal: No Solution
Exploring Operation: 110-69=41, Resulting Numbers: [41]
41,79 unequal: No Solution
Exploring Operation: 69*110=7590, Resulting Numbers: [7590]
7590,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 79:[55, 124], Operations: ['10+45=55', '69+55=124']
Exploring Operation: 55+124=179, Resulting Numbers: [179]
179,79 unequal: No Solution
Exploring Operation: 124-55=69, Resulting Numbers: [69]
69,79 unequal: No Solution
Exploring Operation: 55*124=6820, Resulting Numbers: [6820]
6820,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 79:[55, 124], Operations: ['10+45=55', '69+55=124']
Exploring Operation: 55+124=179, Resulting Numbers: [179]
179,79 unequal: No Solution
Exploring Operation: 55*124=6820, Resulting Numbers: [6820]
6820,79 unequal: No Solution
Exploring Operation: 124-55=69, Resulting Numbers: [69]
69,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 79:[69, 1], Operations: ['10+45=55', '55/55=1']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,79 unequal: No Solution
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,79 unequal: No Solution
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,79 unequal: No Solution
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[45, 55, 59], Operations: ['69-10=59']
Exploring Operation: 55-45=10, Resulting Numbers: [59, 10]
Generated Node #0,0,0: 79:[59, 10] Operation: 55-45=10
Exploring Operation: 45+55=100, Resulting Numbers: [59, 100]
Generated Node #0,0,1: 79:[59, 100] Operation: 45+55=100
Exploring Operation: 55+59=114, Resulting Numbers: [45, 114]
Generated Node #0,0,2: 79:[45, 114] Operation: 55+59=114
Exploring Operation: 45+59=104, Resulting Numbers: [55, 104]
Generated Node #0,0,3: 79:[55, 104] Operation: 45+59=104
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 79:[59, 100], Operations: ['69-10=59', '45+55=100']
Exploring Operation: 59+100=159, Resulting Numbers: [159]
159,79 unequal: No Solution
Exploring Operation: 59*100=5900, Resulting Numbers: [5900]
5900,79 unequal: No Solution
Exploring Operation: 100-59=41, Resulting Numbers: [41]
41,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 79:[55, 104], Operations: ['69-10=59', '45+59=104']
Exploring Operation: 104-55=49, Resulting Numbers: [49]
49,79 unequal: No Solution
Exploring Operation: 55+104=159, Resulting Numbers: [159]
159,79 unequal: No Solution
Exploring Operation: 55*104=5720, Resulting Numbers: [5720]
5720,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 79:[45, 114], Operations: ['69-10=59', '55+59=114']
Exploring Operation: 45+114=159, Resulting Numbers: [159]
159,79 unequal: No Solution
Exploring Operation: 45*114=5130, Resulting Numbers: [5130]
5130,79 unequal: No Solution
Exploring Operation: 114-45=69, Resulting Numbers: [69]
69,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[59, 10], Operations: ['69-10=59', '55-45=10']
Exploring Operation: 59-10=49, Resulting Numbers: [49]
49,79 unequal: No Solution
Exploring Operation: 59+10=69, Resulting Numbers: [69]
69,79 unequal: No Solution
Exploring Operation: 59*10=590, Resulting Numbers: [590]
590,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
28,
4,
7,
94
] | 69 | [
"28+4=32",
"7+94=101",
"101-32=69"
] | Current State: 69:[28, 4, 7, 94], Operations: []
Exploring Operation: 28+4=32, Resulting Numbers: [7, 94, 32]
Generated Node #2: [7, 94, 32] from Operation: 28+4=32
Current State: 69:[7, 94, 32], Operations: ['28+4=32']
Exploring Operation: 7+94=101, Resulting Numbers: [32, 101]
Generated Node #3: [32, 101] from Operation: 7+94=101
Current State: 69:[32, 101], Operations: ['28+4=32', '7+94=101']
Exploring Operation: 101-32=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[28, 4, 7, 94], Operations: []
Exploring Operation: 94-7=87, Resulting Numbers: [28, 4, 87]
Generated Node #0,0: 69:[28, 4, 87] Operation: 94-7=87
Exploring Operation: 94-28=66, Resulting Numbers: [4, 7, 66]
Generated Node #0,1: 69:[4, 7, 66] Operation: 94-28=66
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[4, 7, 66], Operations: ['94-28=66']
Exploring Operation: 7-4=3, Resulting Numbers: [66, 3]
Generated Node #0,1,0: 69:[66, 3] Operation: 7-4=3
Exploring Operation: 4+66=70, Resulting Numbers: [7, 70]
Generated Node #0,1,1: 69:[7, 70] Operation: 4+66=70
Moving to Node #0,1,0
Current State: 69:[66, 3], Operations: ['94-28=66', '7-4=3']
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[28, 4, 7, 94], Operations: []
Exploring Operation: 94-28=66, Resulting Numbers: [4, 7, 66]
Generated Node #0,1: 69:[4, 7, 66] Operation: 94-28=66
Moving to Node #0,1
Current State: 69:[4, 7, 66], Operations: ['94-28=66']
Exploring Operation: 7-4=3, Resulting Numbers: [66, 3]
Generated Node #0,1,0: 69:[66, 3] Operation: 7-4=3
Moving to Node #0,1,0
Current State: 69:[66, 3], Operations: ['94-28=66', '7-4=3']
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
17,
52,
33,
32
] | 70 | [
"17+52=69",
"33-32=1",
"69+1=70"
] | Current State: 70:[17, 52, 33, 32], Operations: []
Exploring Operation: 17+52=69, Resulting Numbers: [33, 32, 69]
Generated Node #2: [33, 32, 69] from Operation: 17+52=69
Current State: 70:[33, 32, 69], Operations: ['17+52=69']
Exploring Operation: 33-32=1, Resulting Numbers: [69, 1]
Generated Node #3: [69, 1] from Operation: 33-32=1
Current State: 70:[69, 1], Operations: ['17+52=69', '33-32=1']
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[17, 52, 33, 32], Operations: []
Exploring Operation: 52-33=19, Resulting Numbers: [17, 32, 19]
Generated Node #0,0: 70:[17, 32, 19] Operation: 52-33=19
Exploring Operation: 52-17=35, Resulting Numbers: [33, 32, 35]
Generated Node #0,1: 70:[33, 32, 35] Operation: 52-17=35
Exploring Operation: 17+52=69, Resulting Numbers: [33, 32, 69]
Generated Node #0,2: 70:[33, 32, 69] Operation: 17+52=69
Moving to Node #0,1
Current State: 70:[33, 32, 35], Operations: ['52-17=35']
Exploring Operation: 33-32=1, Resulting Numbers: [35, 1]
Generated Node #0,1,0: 70:[35, 1] Operation: 33-32=1
Exploring Operation: 35-33=2, Resulting Numbers: [32, 2]
Generated Node #0,1,1: 70:[32, 2] Operation: 35-33=2
Exploring Operation: 35-32=3, Resulting Numbers: [33, 3]
Generated Node #0,1,2: 70:[33, 3] Operation: 35-32=3
Moving to Node #0,2
Current State: 70:[33, 32, 69], Operations: ['17+52=69']
Exploring Operation: 69-33=36, Resulting Numbers: [32, 36]
Generated Node #0,2,0: 70:[32, 36] Operation: 69-33=36
Exploring Operation: 69-32=37, Resulting Numbers: [33, 37]
Generated Node #0,2,1: 70:[33, 37] Operation: 69-32=37
Exploring Operation: 33-32=1, Resulting Numbers: [69, 1]
Generated Node #0,2,2: 70:[69, 1] Operation: 33-32=1
Moving to Node #0,0
Current State: 70:[17, 32, 19], Operations: ['52-33=19']
Exploring Operation: 32-19=13, Resulting Numbers: [17, 13]
Generated Node #0,0,0: 70:[17, 13] Operation: 32-19=13
Exploring Operation: 17+19=36, Resulting Numbers: [32, 36]
Generated Node #0,0,1: 70:[32, 36] Operation: 17+19=36
Exploring Operation: 19-17=2, Resulting Numbers: [32, 2]
Generated Node #0,0,2: 70:[32, 2] Operation: 19-17=2
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 70:[32, 2], Operations: ['52-33=19', '19-17=2']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,70 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,70 unequal: No Solution
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,70 unequal: No Solution
No 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: 70:[17, 13], Operations: ['52-33=19', '32-19=13']
Exploring Operation: 17*13=221, Resulting Numbers: [221]
221,70 unequal: No Solution
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Exploring Operation: 17+13=30, Resulting Numbers: [30]
30,70 unequal: No Solution
No 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: 70:[32, 36], Operations: ['52-33=19', '17+19=36']
Exploring Operation: 32+36=68, Resulting Numbers: [68]
68,70 unequal: No Solution
Exploring Operation: 36-32=4, Resulting Numbers: [4]
4,70 unequal: No Solution
Exploring Operation: 32*36=1152, Resulting Numbers: [1152]
1152,70 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: 70:[35, 1], Operations: ['52-17=35', '33-32=1']
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Exploring Operation: 35+1=36, Resulting Numbers: [36]
36,70 unequal: No Solution
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,70 unequal: No Solution
Moving to Node #0,2,2
Current State: 70:[69, 1], Operations: ['17+52=69', '33-32=1']
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[17, 52, 33, 32], Operations: []
Exploring Operation: 17+52=69, Resulting Numbers: [33, 32, 69]
Generated Node #0,2: 70:[33, 32, 69] Operation: 17+52=69
Moving to Node #0,2
Current State: 70:[33, 32, 69], Operations: ['17+52=69']
Exploring Operation: 33-32=1, Resulting Numbers: [69, 1]
Generated Node #0,2,2: 70:[69, 1] Operation: 33-32=1
Moving to Node #0,2,2
Current State: 70:[69, 1], Operations: ['17+52=69', '33-32=1']
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 0.97309 | hs_3 | sum_heuristic |
[
30,
8,
87,
90
] | 80 | [
"30*8=240",
"90-87=3",
"240/3=80"
] | Current State: 80:[30, 8, 87, 90], Operations: []
Exploring Operation: 30*8=240, Resulting Numbers: [87, 90, 240]
Generated Node #2: [87, 90, 240] from Operation: 30*8=240
Current State: 80:[87, 90, 240], Operations: ['30*8=240']
Exploring Operation: 90-87=3, Resulting Numbers: [240, 3]
Generated Node #3: [240, 3] from Operation: 90-87=3
Current State: 80:[240, 3], Operations: ['30*8=240', '90-87=3']
Exploring Operation: 240/3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[30, 8, 87, 90], Operations: []
Exploring Operation: 90-8=82, Resulting Numbers: [30, 87, 82]
Generated Node #0,0: 80:[30, 87, 82] Operation: 90-8=82
Exploring Operation: 90/30=3, Resulting Numbers: [8, 87, 3]
Generated Node #0,1: 80:[8, 87, 3] Operation: 90/30=3
Exploring Operation: 30+8=38, Resulting Numbers: [87, 90, 38]
Generated Node #0,2: 80:[87, 90, 38] Operation: 30+8=38
Exploring Operation: 90-87=3, Resulting Numbers: [30, 8, 3]
Generated Node #0,3: 80:[30, 8, 3] Operation: 90-87=3
Exploring Operation: 30-8=22, Resulting Numbers: [87, 90, 22]
Generated Node #0,4: 80:[87, 90, 22] Operation: 30-8=22
Moving to Node #0,1
Current State: 80:[8, 87, 3], Operations: ['90/30=3']
Exploring Operation: 87-8=79, Resulting Numbers: [3, 79]
Generated Node #0,1,0: 80:[3, 79] Operation: 87-8=79
Exploring Operation: 87-3=84, Resulting Numbers: [8, 84]
Generated Node #0,1,1: 80:[8, 84] Operation: 87-3=84
Exploring Operation: 8+3=11, Resulting Numbers: [87, 11]
Generated Node #0,1,2: 80:[87, 11] Operation: 8+3=11
Exploring Operation: 8-3=5, Resulting Numbers: [87, 5]
Generated Node #0,1,3: 80:[87, 5] Operation: 8-3=5
Exploring Operation: 87/3=29, Resulting Numbers: [8, 29]
Generated Node #0,1,4: 80:[8, 29] Operation: 87/3=29
Moving to Node #0,3
Current State: 80:[30, 8, 3], Operations: ['90-87=3']
Exploring Operation: 30+8=38, Resulting Numbers: [3, 38]
Generated Node #0,3,0: 80:[3, 38] Operation: 30+8=38
Exploring Operation: 30-8=22, Resulting Numbers: [3, 22]
Generated Node #0,3,1: 80:[3, 22] Operation: 30-8=22
Exploring Operation: 30/3=10, Resulting Numbers: [8, 10]
Generated Node #0,3,2: 80:[8, 10] Operation: 30/3=10
Exploring Operation: 30-3=27, Resulting Numbers: [8, 27]
Generated Node #0,3,3: 80:[8, 27] Operation: 30-3=27
Exploring Operation: 30+3=33, Resulting Numbers: [8, 33]
Generated Node #0,3,4: 80:[8, 33] Operation: 30+3=33
Moving to Node #0,0
Current State: 80:[30, 87, 82], Operations: ['90-8=82']
Exploring Operation: 82-30=52, Resulting Numbers: [87, 52]
Generated Node #0,0,0: 80:[87, 52] Operation: 82-30=52
Exploring Operation: 30+87=117, Resulting Numbers: [82, 117]
Generated Node #0,0,1: 80:[82, 117] Operation: 30+87=117
Exploring Operation: 87-82=5, Resulting Numbers: [30, 5]
Generated Node #0,0,2: 80:[30, 5] Operation: 87-82=5
Exploring Operation: 30+82=112, Resulting Numbers: [87, 112]
Generated Node #0,0,3: 80:[87, 112] Operation: 30+82=112
Exploring Operation: 87-30=57, Resulting Numbers: [82, 57]
Generated Node #0,0,4: 80:[82, 57] Operation: 87-30=57
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 80:[30, 5], Operations: ['90-8=82', '87-82=5']
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 30*5=150, Resulting Numbers: [150]
150,80 unequal: No Solution
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,80 unequal: No Solution
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,80 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:[87, 52], Operations: ['90-8=82', '82-30=52']
Exploring Operation: 87*52=4524, Resulting Numbers: [4524]
4524,80 unequal: No Solution
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,80 unequal: No Solution
Exploring Operation: 87+52=139, Resulting Numbers: [139]
139,80 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:[82, 57], Operations: ['90-8=82', '87-30=57']
Exploring Operation: 82*57=4674, Resulting Numbers: [4674]
4674,80 unequal: No Solution
Exploring Operation: 82+57=139, Resulting Numbers: [139]
139,80 unequal: No Solution
Exploring Operation: 82-57=25, Resulting Numbers: [25]
25,80 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:[82, 117], Operations: ['90-8=82', '30+87=117']
Exploring Operation: 82*117=9594, Resulting Numbers: [9594]
9594,80 unequal: No Solution
Exploring Operation: 117-82=35, Resulting Numbers: [35]
35,80 unequal: No Solution
Exploring Operation: 82+117=199, Resulting Numbers: [199]
199,80 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:[87, 112], Operations: ['90-8=82', '30+82=112']
Exploring Operation: 87*112=9744, Resulting Numbers: [9744]
9744,80 unequal: No Solution
Exploring Operation: 112-87=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 87+112=199, Resulting Numbers: [199]
199,80 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:[87, 90, 38], Operations: ['30+8=38']
Exploring Operation: 87+38=125, Resulting Numbers: [90, 125]
Generated Node #0,2,0: 80:[90, 125] Operation: 87+38=125
Exploring Operation: 90-87=3, Resulting Numbers: [38, 3]
Generated Node #0,2,1: 80:[38, 3] Operation: 90-87=3
Exploring Operation: 87-38=49, Resulting Numbers: [90, 49]
Generated Node #0,2,2: 80:[90, 49] Operation: 87-38=49
Exploring Operation: 90+38=128, Resulting Numbers: [87, 128]
Generated Node #0,2,3: 80:[87, 128] Operation: 90+38=128
Exploring Operation: 90-38=52, Resulting Numbers: [87, 52]
Generated Node #0,2,4: 80:[87, 52] Operation: 90-38=52
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 80:[38, 3], Operations: ['30+8=38', '90-87=3']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,80 unequal: No Solution
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,80 unequal: No Solution
Exploring Operation: 38*3=114, Resulting Numbers: [114]
114,80 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:[90, 49], Operations: ['30+8=38', '87-38=49']
Exploring Operation: 90+49=139, Resulting Numbers: [139]
139,80 unequal: No Solution
Exploring Operation: 90*49=4410, Resulting Numbers: [4410]
4410,80 unequal: No Solution
Exploring Operation: 90-49=41, Resulting Numbers: [41]
41,80 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:[87, 52], Operations: ['30+8=38', '90-38=52']
Exploring Operation: 87+52=139, Resulting Numbers: [139]
139,80 unequal: No Solution
Exploring Operation: 87*52=4524, Resulting Numbers: [4524]
4524,80 unequal: No Solution
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,80 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 #0,2,0
Current State: 80:[90, 125], Operations: ['30+8=38', '87+38=125']
Exploring Operation: 90+125=215, Resulting Numbers: [215]
215,80 unequal: No Solution
Exploring Operation: 90*125=11250, Resulting Numbers: [11250]
11250,80 unequal: No Solution
Exploring Operation: 125-90=35, Resulting Numbers: [35]
35,80 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:[87, 128], Operations: ['30+8=38', '90+38=128']
Exploring Operation: 128-87=41, Resulting Numbers: [41]
41,80 unequal: No Solution
Exploring Operation: 87+128=215, Resulting Numbers: [215]
215,80 unequal: No Solution
Exploring Operation: 87*128=11136, Resulting Numbers: [11136]
11136,80 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: 80:[87, 90, 22], Operations: ['30-8=22']
Exploring Operation: 90+22=112, Resulting Numbers: [87, 112]
Generated Node #0,4,0: 80:[87, 112] Operation: 90+22=112
Exploring Operation: 87-22=65, Resulting Numbers: [90, 65]
Generated Node #0,4,1: 80:[90, 65] Operation: 87-22=65
Exploring Operation: 90-87=3, Resulting Numbers: [22, 3]
Generated Node #0,4,2: 80:[22, 3] Operation: 90-87=3
Exploring Operation: 87+22=109, Resulting Numbers: [90, 109]
Generated Node #0,4,3: 80:[90, 109] Operation: 87+22=109
Exploring Operation: 90-22=68, Resulting Numbers: [87, 68]
Generated Node #0,4,4: 80:[87, 68] Operation: 90-22=68
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 80:[22, 3], Operations: ['30-8=22', '90-87=3']
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,80 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,80 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 #0,4,4
Current State: 80:[87, 68], Operations: ['30-8=22', '90-22=68']
Exploring Operation: 87+68=155, Resulting Numbers: [155]
155,80 unequal: No Solution
Exploring Operation: 87-68=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Exploring Operation: 87*68=5916, Resulting Numbers: [5916]
5916,80 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 #0,4,1
Current State: 80:[90, 65], Operations: ['30-8=22', '87-22=65']
Exploring Operation: 90-65=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 90+65=155, Resulting Numbers: [155]
155,80 unequal: No Solution
Exploring Operation: 90*65=5850, Resulting Numbers: [5850]
5850,80 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 #0,4,0
Current State: 80:[87, 112], Operations: ['30-8=22', '90+22=112']
Exploring Operation: 112-87=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 87+112=199, Resulting Numbers: [199]
199,80 unequal: No Solution
Exploring Operation: 87*112=9744, Resulting Numbers: [9744]
9744,80 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 #0,4,3
Current State: 80:[90, 109], Operations: ['30-8=22', '87+22=109']
Exploring Operation: 109-90=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Exploring Operation: 90+109=199, Resulting Numbers: [199]
199,80 unequal: No Solution
Exploring Operation: 90*109=9810, Resulting Numbers: [9810]
9810,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 80:[8, 10], Operations: ['90-87=3', '30/3=10']
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,80 unequal: No Solution
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[30, 8, 87, 90], Operations: []
Exploring Operation: 90-87=3, Resulting Numbers: [30, 8, 3]
Generated Node #0,3: 80:[30, 8, 3] Operation: 90-87=3
Moving to Node #0,3
Current State: 80:[30, 8, 3], Operations: ['90-87=3']
Exploring Operation: 30/3=10, Resulting Numbers: [8, 10]
Generated Node #0,3,2: 80:[8, 10] Operation: 30/3=10
Moving to Node #0,3,2
Current State: 80:[8, 10], Operations: ['90-87=3', '30/3=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 0.928819 | hs_5 | mult_heuristic |
[
37,
26,
76,
26
] | 61 | [
"37-26=11",
"76-26=50",
"11+50=61"
] | Current State: 61:[37, 26, 76, 26], Operations: []
Exploring Operation: 37-26=11, Resulting Numbers: [76, 11]
Generated Node #2: [76, 11] from Operation: 37-26=11
Current State: 61:[76, 11], Operations: ['37-26=11']
Exploring Operation: 76-26=50, Resulting Numbers: [11, 50]
Generated Node #3: [11, 50] from Operation: 76-26=50
Current State: 61:[11, 50], Operations: ['37-26=11', '76-26=50']
Exploring Operation: 11+50=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[37, 26, 76, 26], Operations: []
Exploring Operation: 37+26=63, Resulting Numbers: [76, 26, 63]
Generated Node #0,0: 61:[76, 26, 63] Operation: 37+26=63
Exploring Operation: 26+26=52, Resulting Numbers: [37, 76, 52]
Generated Node #0,1: 61:[37, 76, 52] Operation: 26+26=52
Moving to Node #0,1
Current State: 61:[37, 76, 52], Operations: ['26+26=52']
Exploring Operation: 76-37=39, Resulting Numbers: [52, 39]
Generated Node #0,1,0: 61:[52, 39] Operation: 76-37=39
Exploring Operation: 37+52=89, Resulting Numbers: [76, 89]
Generated Node #0,1,1: 61:[76, 89] Operation: 37+52=89
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 61:[52, 39], Operations: ['26+26=52', '76-37=39']
Exploring Operation: 52-39=13, Resulting Numbers: [13]
13,61 unequal: No Solution
Exploring Operation: 52+39=91, Resulting Numbers: [91]
91,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 61:[76, 89], Operations: ['26+26=52', '37+52=89']
Exploring Operation: 76+89=165, Resulting Numbers: [165]
165,61 unequal: No Solution
Exploring Operation: 89-76=13, Resulting Numbers: [13]
13,61 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: 61:[76, 26, 63], Operations: ['37+26=63']
Exploring Operation: 76-26=50, Resulting Numbers: [63, 50]
Generated Node #0,0,0: 61:[63, 50] Operation: 76-26=50
Exploring Operation: 63-26=37, Resulting Numbers: [76, 37]
Generated Node #0,0,1: 61:[76, 37] Operation: 63-26=37
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[63, 50], Operations: ['37+26=63', '76-26=50']
Exploring Operation: 63+50=113, Resulting Numbers: [113]
113,61 unequal: No Solution
Exploring Operation: 63-50=13, Resulting Numbers: [13]
13,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 61:[76, 37], Operations: ['37+26=63', '63-26=37']
Exploring Operation: 76+37=113, Resulting Numbers: [113]
113,61 unequal: No Solution
Exploring Operation: 76-37=39, Resulting Numbers: [39]
39,61 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 |
[
20,
12,
3,
17
] | 31 | [
"20*3=60",
"12+17=29",
"60-29=31"
] | Current State: 31:[20, 12, 3, 17], Operations: []
Exploring Operation: 20*3=60, Resulting Numbers: [12, 17, 60]
Generated Node #2: [12, 17, 60] from Operation: 20*3=60
Current State: 31:[12, 17, 60], Operations: ['20*3=60']
Exploring Operation: 12+17=29, Resulting Numbers: [60, 29]
Generated Node #3: [60, 29] from Operation: 12+17=29
Current State: 31:[60, 29], Operations: ['20*3=60', '12+17=29']
Exploring Operation: 60-29=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[20, 12, 3, 17], Operations: []
Exploring Operation: 20+3=23, Resulting Numbers: [12, 17, 23]
Generated Node #0,0: 31:[12, 17, 23] Operation: 20+3=23
Exploring Operation: 12+17=29, Resulting Numbers: [20, 3, 29]
Generated Node #0,1: 31:[20, 3, 29] Operation: 12+17=29
Exploring Operation: 12+3=15, Resulting Numbers: [20, 17, 15]
Generated Node #0,2: 31:[20, 17, 15] Operation: 12+3=15
Exploring Operation: 12*3=36, Resulting Numbers: [20, 17, 36]
Generated Node #0,3: 31:[20, 17, 36] Operation: 12*3=36
Moving to Node #0,3
Current State: 31:[20, 17, 36], Operations: ['12*3=36']
Exploring Operation: 20-17=3, Resulting Numbers: [36, 3]
Generated Node #0,3,0: 31:[36, 3] Operation: 20-17=3
Exploring Operation: 20+17=37, Resulting Numbers: [36, 37]
Generated Node #0,3,1: 31:[36, 37] Operation: 20+17=37
Exploring Operation: 36-17=19, Resulting Numbers: [20, 19]
Generated Node #0,3,2: 31:[20, 19] Operation: 36-17=19
Exploring Operation: 36-20=16, Resulting Numbers: [17, 16]
Generated Node #0,3,3: 31:[17, 16] Operation: 36-20=16
Moving to Node #0,1
Current State: 31:[20, 3, 29], Operations: ['12+17=29']
Exploring Operation: 3+29=32, Resulting Numbers: [20, 32]
Generated Node #0,1,0: 31:[20, 32] Operation: 3+29=32
Exploring Operation: 20-3=17, Resulting Numbers: [29, 17]
Generated Node #0,1,1: 31:[29, 17] Operation: 20-3=17
Exploring Operation: 20+3=23, Resulting Numbers: [29, 23]
Generated Node #0,1,2: 31:[29, 23] Operation: 20+3=23
Exploring Operation: 29-3=26, Resulting Numbers: [20, 26]
Generated Node #0,1,3: 31:[20, 26] Operation: 29-3=26
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 31:[29, 23], Operations: ['12+17=29', '20+3=23']
Exploring Operation: 29+23=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 29*23=667, Resulting Numbers: [667]
667,31 unequal: No Solution
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 31:[20, 32], Operations: ['12+17=29', '3+29=32']
Exploring Operation: 32-20=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 20*32=640, Resulting Numbers: [640]
640,31 unequal: No Solution
Exploring Operation: 20+32=52, Resulting Numbers: [52]
52,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 31:[29, 17], Operations: ['12+17=29', '20-3=17']
Exploring Operation: 29-17=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 29*17=493, Resulting Numbers: [493]
493,31 unequal: No Solution
Exploring Operation: 29+17=46, Resulting Numbers: [46]
46,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 31:[20, 26], Operations: ['12+17=29', '29-3=26']
Exploring Operation: 20+26=46, Resulting Numbers: [46]
46,31 unequal: No Solution
Exploring Operation: 20*26=520, Resulting Numbers: [520]
520,31 unequal: No Solution
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 31:[12, 17, 23], Operations: ['20+3=23']
Exploring Operation: 12+17=29, Resulting Numbers: [23, 29]
Generated Node #0,0,0: 31:[23, 29] Operation: 12+17=29
Exploring Operation: 12+23=35, Resulting Numbers: [17, 35]
Generated Node #0,0,1: 31:[17, 35] Operation: 12+23=35
Exploring Operation: 17-12=5, Resulting Numbers: [23, 5]
Generated Node #0,0,2: 31:[23, 5] Operation: 17-12=5
Exploring Operation: 17+23=40, Resulting Numbers: [12, 40]
Generated Node #0,0,3: 31:[12, 40] Operation: 17+23=40
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 31:[23, 29], Operations: ['20+3=23', '12+17=29']
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,31 unequal: No Solution
Exploring Operation: 23+29=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 23*29=667, Resulting Numbers: [667]
667,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 31:[17, 35], Operations: ['20+3=23', '12+23=35']
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 17*35=595, Resulting Numbers: [595]
595,31 unequal: No Solution
Exploring Operation: 17+35=52, Resulting Numbers: [52]
52,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 31:[12, 40], Operations: ['20+3=23', '17+23=40']
Exploring Operation: 12*40=480, Resulting Numbers: [480]
480,31 unequal: No Solution
Exploring Operation: 12+40=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 31:[23, 5], Operations: ['20+3=23', '17-12=5']
Exploring Operation: 23*5=115, Resulting Numbers: [115]
115,31 unequal: No Solution
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,31 unequal: No Solution
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,31 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: 31:[20, 17, 15], Operations: ['12+3=15']
Exploring Operation: 20+17=37, Resulting Numbers: [15, 37]
Generated Node #0,2,0: 31:[15, 37] Operation: 20+17=37
Exploring Operation: 17+15=32, Resulting Numbers: [20, 32]
Generated Node #0,2,1: 31:[20, 32] Operation: 17+15=32
Exploring Operation: 20+15=35, Resulting Numbers: [17, 35]
Generated Node #0,2,2: 31:[17, 35] Operation: 20+15=35
Exploring Operation: 20-15=5, Resulting Numbers: [17, 5]
Generated Node #0,2,3: 31:[17, 5] Operation: 20-15=5
Moving to Node #0,3,1
Current State: 31:[36, 37], Operations: ['12*3=36', '20+17=37']
Exploring Operation: 36+37=73, Resulting Numbers: [73]
73,31 unequal: No Solution
Exploring Operation: 36*37=1332, Resulting Numbers: [1332]
1332,31 unequal: No Solution
Exploring Operation: 37-36=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Moving to Node #0,2,1
Current State: 31:[20, 32], Operations: ['12+3=15', '17+15=32']
Exploring Operation: 20*32=640, Resulting Numbers: [640]
640,31 unequal: No Solution
Exploring Operation: 20+32=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 32-20=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Moving to Node #0,2,2
Current State: 31:[17, 35], Operations: ['12+3=15', '20+15=35']
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 17+35=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 17*35=595, Resulting Numbers: [595]
595,31 unequal: No Solution
Moving to Node #0,2,0
Current State: 31:[15, 37], Operations: ['12+3=15', '20+17=37']
Exploring Operation: 15*37=555, Resulting Numbers: [555]
555,31 unequal: No Solution
Exploring Operation: 15+37=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 37-15=22, Resulting Numbers: [22]
22,31 unequal: No Solution
Moving to Node #0,3,2
Current State: 31:[20, 19], Operations: ['12*3=36', '36-17=19']
Exploring Operation: 20+19=39, Resulting Numbers: [39]
39,31 unequal: No Solution
Exploring Operation: 20*19=380, Resulting Numbers: [380]
380,31 unequal: No Solution
Exploring Operation: 20-19=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Moving to Node #0,3,3
Current State: 31:[17, 16], Operations: ['12*3=36', '36-20=16']
Exploring Operation: 17*16=272, Resulting Numbers: [272]
272,31 unequal: No Solution
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,31 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,31 unequal: No Solution
Moving to Node #0,3,0
Current State: 31:[36, 3], Operations: ['12*3=36', '20-17=3']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 36*3=108, Resulting Numbers: [108]
108,31 unequal: No Solution
Exploring Operation: 36+3=39, Resulting Numbers: [39]
39,31 unequal: No Solution
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,31 unequal: No Solution
Moving to Node #0,2,3
Current State: 31:[17, 5], Operations: ['12+3=15', '20-15=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,31 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,31 unequal: No Solution
Exploring Operation: 17+5=22, Resulting Numbers: [22]
22,31 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
10,
98,
68,
82
] | 42 | [
"10+98=108",
"68+82=150",
"150-108=42"
] | Current State: 42:[10, 98, 68, 82], Operations: []
Exploring Operation: 10+98=108, Resulting Numbers: [68, 82, 108]
Generated Node #2: [68, 82, 108] from Operation: 10+98=108
Current State: 42:[68, 82, 108], Operations: ['10+98=108']
Exploring Operation: 68+82=150, Resulting Numbers: [108, 150]
Generated Node #3: [108, 150] from Operation: 68+82=150
Current State: 42:[108, 150], Operations: ['10+98=108', '68+82=150']
Exploring Operation: 150-108=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[10, 98, 68, 82], Operations: []
Exploring Operation: 68-10=58, Resulting Numbers: [98, 82, 58]
Generated Node #0,0: 42:[98, 82, 58] Operation: 68-10=58
Exploring Operation: 98-10=88, Resulting Numbers: [68, 82, 88]
Generated Node #0,1: 42:[68, 82, 88] Operation: 98-10=88
Exploring Operation: 98-68=30, Resulting Numbers: [10, 82, 30]
Generated Node #0,2: 42:[10, 82, 30] Operation: 98-68=30
Exploring Operation: 82-68=14, Resulting Numbers: [10, 98, 14]
Generated Node #0,3: 42:[10, 98, 14] Operation: 82-68=14
Exploring Operation: 98-82=16, Resulting Numbers: [10, 68, 16]
Generated Node #0,4: 42:[10, 68, 16] Operation: 98-82=16
Start Sub Search at level 1: Moving to Node #0,4
Current State: 42:[10, 68, 16], Operations: ['98-82=16']
Exploring Operation: 68-16=52, Resulting Numbers: [10, 52]
Generated Node #0,4,0: 42:[10, 52] Operation: 68-16=52
Exploring Operation: 10+16=26, Resulting Numbers: [68, 26]
Generated Node #0,4,1: 42:[68, 26] Operation: 10+16=26
Exploring Operation: 10+68=78, Resulting Numbers: [16, 78]
Generated Node #0,4,2: 42:[16, 78] Operation: 10+68=78
Exploring Operation: 68-10=58, Resulting Numbers: [16, 58]
Generated Node #0,4,3: 42:[16, 58] Operation: 68-10=58
Exploring Operation: 16-10=6, Resulting Numbers: [68, 6]
Generated Node #0,4,4: 42:[68, 6] Operation: 16-10=6
Moving to Node #0,4,0
Current State: 42:[10, 52], Operations: ['98-82=16', '68-16=52']
Exploring Operation: 10+52=62, Resulting Numbers: [62]
62,42 unequal: No Solution
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[10, 98, 68, 82], Operations: []
Exploring Operation: 98-82=16, Resulting Numbers: [10, 68, 16]
Generated Node #0,4: 42:[10, 68, 16] Operation: 98-82=16
Moving to Node #0,4
Current State: 42:[10, 68, 16], Operations: ['98-82=16']
Exploring Operation: 68-16=52, Resulting Numbers: [10, 52]
Generated Node #0,4,0: 42:[10, 52] Operation: 68-16=52
Moving to Node #0,4,0
Current State: 42:[10, 52], Operations: ['98-82=16', '68-16=52']
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
27,
84,
47,
59
] | 94 | [
"84-27=57",
"59-57=2",
"47*2=94"
] | Current State: 94:[27, 84, 47, 59], Operations: []
Exploring Operation: 84-27=57, Resulting Numbers: [47, 59, 57]
Generated Node #2: [47, 59, 57] from Operation: 84-27=57
Current State: 94:[47, 59, 57], Operations: ['84-27=57']
Exploring Operation: 59-57=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 59-57=2
Current State: 94:[47, 2], Operations: ['84-27=57', '59-57=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[27, 84, 47, 59], Operations: []
Exploring Operation: 47-27=20, Resulting Numbers: [84, 59, 20]
Generated Node #0,0: 94:[84, 59, 20] Operation: 47-27=20
Exploring Operation: 27+84=111, Resulting Numbers: [47, 59, 111]
Generated Node #0,1: 94:[47, 59, 111] Operation: 27+84=111
Exploring Operation: 27+59=86, Resulting Numbers: [84, 47, 86]
Generated Node #0,2: 94:[84, 47, 86] Operation: 27+59=86
Exploring Operation: 84-27=57, Resulting Numbers: [47, 59, 57]
Generated Node #0,3: 94:[47, 59, 57] Operation: 84-27=57
Exploring Operation: 59-27=32, Resulting Numbers: [84, 47, 32]
Generated Node #0,4: 94:[84, 47, 32] Operation: 59-27=32
Start Sub Search at level 1: Moving to Node #0,2
Current State: 94:[84, 47, 86], Operations: ['27+59=86']
Exploring Operation: 86-84=2, Resulting Numbers: [47, 2]
Generated Node #0,2,0: 94:[47, 2] Operation: 86-84=2
Exploring Operation: 84-47=37, Resulting Numbers: [86, 37]
Generated Node #0,2,1: 94:[86, 37] Operation: 84-47=37
Exploring Operation: 84+47=131, Resulting Numbers: [86, 131]
Generated Node #0,2,2: 94:[86, 131] Operation: 84+47=131
Exploring Operation: 47+86=133, Resulting Numbers: [84, 133]
Generated Node #0,2,3: 94:[84, 133] Operation: 47+86=133
Exploring Operation: 86-47=39, Resulting Numbers: [84, 39]
Generated Node #0,2,4: 94:[84, 39] Operation: 86-47=39
Moving to Node #0,2,0
Current State: 94:[47, 2], Operations: ['27+59=86', '86-84=2']
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,94 unequal: No Solution
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[27, 84, 47, 59], Operations: []
Exploring Operation: 27+59=86, Resulting Numbers: [84, 47, 86]
Generated Node #0,2: 94:[84, 47, 86] Operation: 27+59=86
Moving to Node #0,2
Current State: 94:[84, 47, 86], Operations: ['27+59=86']
Exploring Operation: 86-84=2, Resulting Numbers: [47, 2]
Generated Node #0,2,0: 94:[47, 2] Operation: 86-84=2
Moving to Node #0,2,0
Current State: 94:[47, 2], Operations: ['27+59=86', '86-84=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
67,
77,
77,
74
] | 67 | [
"77-77=0",
"74*0=0",
"67+0=67"
] | Current State: 67:[67, 77, 77, 74], Operations: []
Exploring Operation: 77-77=0, Resulting Numbers: [67, 74, 0]
Generated Node #2: [67, 74, 0] from Operation: 77-77=0
Current State: 67:[67, 74, 0], Operations: ['77-77=0']
Exploring Operation: 74*0=0, Resulting Numbers: [67, 0]
Generated Node #3: [67, 0] from Operation: 74*0=0
Current State: 67:[67, 0], Operations: ['77-77=0', '74*0=0']
Exploring Operation: 67+0=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[67, 77, 77, 74], Operations: []
Exploring Operation: 77/77=1, Resulting Numbers: [67, 74, 1]
Generated Node #0,0: 67:[67, 74, 1] Operation: 77/77=1
Moving to Node #0,0
Current State: 67:[67, 74, 1], Operations: ['77/77=1']
Exploring Operation: 74-1=73, Resulting Numbers: [67, 73]
Generated Node #0,0,0: 67:[67, 73] Operation: 74-1=73
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[67, 73], Operations: ['77/77=1', '74-1=73']
Exploring Operation: 73-67=6, Resulting Numbers: [6]
6,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
87,
46,
22,
69
] | 36 | [
"87*46=4002",
"4002/69=58",
"58-22=36"
] | Current State: 36:[87, 46, 22, 69], Operations: []
Exploring Operation: 87*46=4002, Resulting Numbers: [22, 69, 4002]
Generated Node #2: [22, 69, 4002] from Operation: 87*46=4002
Current State: 36:[22, 69, 4002], Operations: ['87*46=4002']
Exploring Operation: 4002/69=58, Resulting Numbers: [22, 58]
Generated Node #3: [22, 58] from Operation: 4002/69=58
Current State: 36:[22, 58], Operations: ['87*46=4002', '4002/69=58']
Exploring Operation: 58-22=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[87, 46, 22, 69], Operations: []
Exploring Operation: 87-22=65, Resulting Numbers: [46, 69, 65]
Generated Node #0,0: 36:[46, 69, 65] Operation: 87-22=65
Exploring Operation: 69-46=23, Resulting Numbers: [87, 22, 23]
Generated Node #0,1: 36:[87, 22, 23] Operation: 69-46=23
Exploring Operation: 87-46=41, Resulting Numbers: [22, 69, 41]
Generated Node #0,2: 36:[22, 69, 41] Operation: 87-46=41
Exploring Operation: 87-69=18, Resulting Numbers: [46, 22, 18]
Generated Node #0,3: 36:[46, 22, 18] Operation: 87-69=18
Moving to Node #0,3
Current State: 36:[46, 22, 18], Operations: ['87-69=18']
Exploring Operation: 22+18=40, Resulting Numbers: [46, 40]
Generated Node #0,3,0: 36:[46, 40] Operation: 22+18=40
Exploring Operation: 46-18=28, Resulting Numbers: [22, 28]
Generated Node #0,3,1: 36:[22, 28] Operation: 46-18=28
Exploring Operation: 22-18=4, Resulting Numbers: [46, 4]
Generated Node #0,3,2: 36:[46, 4] Operation: 22-18=4
Exploring Operation: 46-22=24, Resulting Numbers: [18, 24]
Generated Node #0,3,3: 36:[18, 24] Operation: 46-22=24
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 36:[18, 24], Operations: ['87-69=18', '46-22=24']
Exploring Operation: 18+24=42, Resulting Numbers: [42]
42,36 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 18*24=432, Resulting Numbers: [432]
432,36 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 #0,3,2
Current State: 36:[46, 4], Operations: ['87-69=18', '22-18=4']
Exploring Operation: 46*4=184, Resulting Numbers: [184]
184,36 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,36 unequal: No Solution
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,36 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 #0,3,1
Current State: 36:[22, 28], Operations: ['87-69=18', '46-18=28']
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,36 unequal: No Solution
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,36 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 #0,3,0
Current State: 36:[46, 40], Operations: ['87-69=18', '22+18=40']
Exploring Operation: 46*40=1840, Resulting Numbers: [1840]
1840,36 unequal: No Solution
Exploring Operation: 46-40=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 46+40=86, Resulting Numbers: [86]
86,36 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:[22, 69, 41], Operations: ['87-46=41']
Exploring Operation: 41-22=19, Resulting Numbers: [69, 19]
Generated Node #0,2,0: 36:[69, 19] Operation: 41-22=19
Exploring Operation: 22+69=91, Resulting Numbers: [41, 91]
Generated Node #0,2,1: 36:[41, 91] Operation: 22+69=91
Exploring Operation: 69-22=47, Resulting Numbers: [41, 47]
Generated Node #0,2,2: 36:[41, 47] Operation: 69-22=47
Exploring Operation: 69-41=28, Resulting Numbers: [22, 28]
Generated Node #0,2,3: 36:[22, 28] Operation: 69-41=28
Moving to Node #0,1
Current State: 36:[87, 22, 23], Operations: ['69-46=23']
Exploring Operation: 22+23=45, Resulting Numbers: [87, 45]
Generated Node #0,1,0: 36:[87, 45] Operation: 22+23=45
Exploring Operation: 23-22=1, Resulting Numbers: [87, 1]
Generated Node #0,1,1: 36:[87, 1] Operation: 23-22=1
Exploring Operation: 87-23=64, Resulting Numbers: [22, 64]
Generated Node #0,1,2: 36:[22, 64] Operation: 87-23=64
Exploring Operation: 87-22=65, Resulting Numbers: [23, 65]
Generated Node #0,1,3: 36:[23, 65] Operation: 87-22=65
Moving to Node #0,0
Current State: 36:[46, 69, 65], Operations: ['87-22=65']
Exploring Operation: 46+69=115, Resulting Numbers: [65, 115]
Generated Node #0,0,0: 36:[65, 115] Operation: 46+69=115
Exploring Operation: 65-46=19, Resulting Numbers: [69, 19]
Generated Node #0,0,1: 36:[69, 19] Operation: 65-46=19
Exploring Operation: 69-46=23, Resulting Numbers: [65, 23]
Generated Node #0,0,2: 36:[65, 23] Operation: 69-46=23
Exploring Operation: 69-65=4, Resulting Numbers: [46, 4]
Generated Node #0,0,3: 36:[46, 4] Operation: 69-65=4
Moving to Node #0,0,3
Current State: 36:[46, 4], Operations: ['87-22=65', '69-65=4']
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,36 unequal: No Solution
Exploring Operation: 46*4=184, Resulting Numbers: [184]
184,36 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,36 unequal: No Solution
Moving to Node #0,2,3
Current State: 36:[22, 28], Operations: ['87-46=41', '69-41=28']
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,36 unequal: No Solution
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[41, 47], Operations: ['87-46=41', '69-22=47']
Exploring Operation: 41*47=1927, Resulting Numbers: [1927]
1927,36 unequal: No Solution
Exploring Operation: 47-41=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 41+47=88, Resulting Numbers: [88]
88,36 unequal: No Solution
Moving to Node #0,1,2
Current State: 36:[22, 64], Operations: ['69-46=23', '87-23=64']
Exploring Operation: 22*64=1408, Resulting Numbers: [1408]
1408,36 unequal: No Solution
Exploring Operation: 22+64=86, Resulting Numbers: [86]
86,36 unequal: No Solution
Exploring Operation: 64-22=42, Resulting Numbers: [42]
42,36 unequal: No Solution
Moving to Node #0,2,0
Current State: 36:[69, 19], Operations: ['87-46=41', '41-22=19']
Exploring Operation: 69+19=88, Resulting Numbers: [88]
88,36 unequal: No Solution
Exploring Operation: 69-19=50, Resulting Numbers: [50]
50,36 unequal: No Solution
Exploring Operation: 69*19=1311, Resulting Numbers: [1311]
1311,36 unequal: No Solution
Moving to Node #0,1,3
Current State: 36:[23, 65], Operations: ['69-46=23', '87-22=65']
Exploring Operation: 23+65=88, Resulting Numbers: [88]
88,36 unequal: No Solution
Exploring Operation: 65-23=42, Resulting Numbers: [42]
42,36 unequal: No Solution
Exploring Operation: 23*65=1495, Resulting Numbers: [1495]
1495,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[69, 19], Operations: ['87-22=65', '65-46=19']
Exploring Operation: 69-19=50, Resulting Numbers: [50]
50,36 unequal: No Solution
Exploring Operation: 69+19=88, Resulting Numbers: [88]
88,36 unequal: No Solution
Exploring Operation: 69*19=1311, Resulting Numbers: [1311]
1311,36 unequal: No Solution
Moving to Node #0,0,2
Current State: 36:[65, 23], Operations: ['87-22=65', '69-46=23']
Exploring Operation: 65*23=1495, Resulting Numbers: [1495]
1495,36 unequal: No Solution
Exploring Operation: 65+23=88, Resulting Numbers: [88]
88,36 unequal: No Solution
Exploring Operation: 65-23=42, Resulting Numbers: [42]
42,36 unequal: No Solution
Moving to Node #0,1,1
Current State: 36:[87, 1], Operations: ['69-46=23', '23-22=1']
Exploring Operation: 87/1=87, Resulting Numbers: [87]
87,36 unequal: No Solution
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,36 unequal: No Solution
Exploring Operation: 87+1=88, Resulting Numbers: [88]
88,36 unequal: No Solution
Exploring Operation: 87*1=87, Resulting Numbers: [87]
87,36 unequal: No Solution
Moving to Node #0,1,0
Current State: 36:[87, 45], Operations: ['69-46=23', '22+23=45']
Exploring Operation: 87+45=132, Resulting Numbers: [132]
132,36 unequal: No Solution
Exploring Operation: 87*45=3915, Resulting Numbers: [3915]
3915,36 unequal: No Solution
Exploring Operation: 87-45=42, Resulting Numbers: [42]
42,36 unequal: No Solution
Moving to Node #0,2,1
Current State: 36:[41, 91], Operations: ['87-46=41', '22+69=91']
Exploring Operation: 91-41=50, Resulting Numbers: [50]
50,36 unequal: No Solution
Exploring Operation: 41*91=3731, Resulting Numbers: [3731]
3731,36 unequal: No Solution
Exploring Operation: 41+91=132, Resulting Numbers: [132]
132,36 unequal: No Solution
Moving to Node #0,0,0
Current State: 36:[65, 115], Operations: ['87-22=65', '46+69=115']
Exploring Operation: 65*115=7475, Resulting Numbers: [7475]
7475,36 unequal: No Solution
Exploring Operation: 65+115=180, Resulting Numbers: [180]
180,36 unequal: No Solution
Exploring Operation: 115-65=50, Resulting Numbers: [50]
50,36 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
23,
54,
29,
2
] | 89 | [
"54-23=31",
"29*2=58",
"31+58=89"
] | Current State: 89:[23, 54, 29, 2], Operations: []
Exploring Operation: 54-23=31, Resulting Numbers: [29, 2, 31]
Generated Node #2: [29, 2, 31] from Operation: 54-23=31
Current State: 89:[29, 2, 31], Operations: ['54-23=31']
Exploring Operation: 29*2=58, Resulting Numbers: [31, 58]
Generated Node #3: [31, 58] from Operation: 29*2=58
Current State: 89:[31, 58], Operations: ['54-23=31', '29*2=58']
Exploring Operation: 31+58=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[23, 54, 29, 2], Operations: []
Exploring Operation: 54*2=108, Resulting Numbers: [23, 29, 108]
Generated Node #0,0: 89:[23, 29, 108] Operation: 54*2=108
Exploring Operation: 23*2=46, Resulting Numbers: [54, 29, 46]
Generated Node #0,1: 89:[54, 29, 46] Operation: 23*2=46
Exploring Operation: 29*2=58, Resulting Numbers: [23, 54, 58]
Generated Node #0,2: 89:[23, 54, 58] Operation: 29*2=58
Moving to Node #0,2
Current State: 89:[23, 54, 58], Operations: ['29*2=58']
Exploring Operation: 23+58=81, Resulting Numbers: [54, 81]
Generated Node #0,2,0: 89:[54, 81] Operation: 23+58=81
Exploring Operation: 54-23=31, Resulting Numbers: [58, 31]
Generated Node #0,2,1: 89:[58, 31] Operation: 54-23=31
Exploring Operation: 23+54=77, Resulting Numbers: [58, 77]
Generated Node #0,2,2: 89:[58, 77] Operation: 23+54=77
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 89:[54, 81], Operations: ['29*2=58', '23+58=81']
Exploring Operation: 81-54=27, Resulting Numbers: [27]
27,89 unequal: No Solution
Exploring Operation: 54+81=135, Resulting Numbers: [135]
135,89 unequal: No Solution
Exploring Operation: 54*81=4374, Resulting Numbers: [4374]
4374,89 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 #0,2,2
Current State: 89:[58, 77], Operations: ['29*2=58', '23+54=77']
Exploring Operation: 58+77=135, Resulting Numbers: [135]
135,89 unequal: No Solution
Exploring Operation: 77-58=19, Resulting Numbers: [19]
19,89 unequal: No Solution
Exploring Operation: 58*77=4466, Resulting Numbers: [4466]
4466,89 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:[58, 31], Operations: ['29*2=58', '54-23=31']
Exploring Operation: 58*31=1798, Resulting Numbers: [1798]
1798,89 unequal: No Solution
Exploring Operation: 58+31=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[23, 54, 29, 2], Operations: []
Exploring Operation: 29*2=58, Resulting Numbers: [23, 54, 58]
Generated Node #0,2: 89:[23, 54, 58] Operation: 29*2=58
Moving to Node #0,2
Current State: 89:[23, 54, 58], Operations: ['29*2=58']
Exploring Operation: 54-23=31, Resulting Numbers: [58, 31]
Generated Node #0,2,1: 89:[58, 31] Operation: 54-23=31
Moving to Node #0,2,1
Current State: 89:[58, 31], Operations: ['29*2=58', '54-23=31']
Exploring Operation: 58+31=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
13,
43,
94,
64
] | 86 | [
"13+43=56",
"94-64=30",
"56+30=86"
] | Current State: 86:[13, 43, 94, 64], Operations: []
Exploring Operation: 13+43=56, Resulting Numbers: [94, 64, 56]
Generated Node #2: [94, 64, 56] from Operation: 13+43=56
Current State: 86:[94, 64, 56], Operations: ['13+43=56']
Exploring Operation: 94-64=30, Resulting Numbers: [56, 30]
Generated Node #3: [56, 30] from Operation: 94-64=30
Current State: 86:[56, 30], Operations: ['13+43=56', '94-64=30']
Exploring Operation: 56+30=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[13, 43, 94, 64], Operations: []
Exploring Operation: 94-13=81, Resulting Numbers: [43, 64, 81]
Generated Node #0,0: 86:[43, 64, 81] Operation: 94-13=81
Exploring Operation: 64-13=51, Resulting Numbers: [43, 94, 51]
Generated Node #0,1: 86:[43, 94, 51] Operation: 64-13=51
Exploring Operation: 94-64=30, Resulting Numbers: [13, 43, 30]
Generated Node #0,2: 86:[13, 43, 30] Operation: 94-64=30
Exploring Operation: 13+64=77, Resulting Numbers: [43, 94, 77]
Generated Node #0,3: 86:[43, 94, 77] Operation: 13+64=77
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[43, 94, 51], Operations: ['64-13=51']
Exploring Operation: 43+51=94, Resulting Numbers: [94, 94]
Generated Node #0,1,0: 86:[94, 94] Operation: 43+51=94
Exploring Operation: 94-43=51, Resulting Numbers: [51, 51]
Generated Node #0,1,1: 86:[51, 51] Operation: 94-43=51
Exploring Operation: 94-51=43, Resulting Numbers: [43, 43]
Generated Node #0,1,2: 86:[43, 43] Operation: 94-51=43
Exploring Operation: 51-43=8, Resulting Numbers: [94, 8]
Generated Node #0,1,3: 86:[94, 8] Operation: 51-43=8
Moving to Node #0,1,2
Current State: 86:[43, 43], Operations: ['64-13=51', '94-51=43']
Exploring Operation: 43*43=1849, Resulting Numbers: [1849]
1849,86 unequal: No Solution
Exploring Operation: 43+43=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[13, 43, 94, 64], Operations: []
Exploring Operation: 64-13=51, Resulting Numbers: [43, 94, 51]
Generated Node #0,1: 86:[43, 94, 51] Operation: 64-13=51
Moving to Node #0,1
Current State: 86:[43, 94, 51], Operations: ['64-13=51']
Exploring Operation: 94-51=43, Resulting Numbers: [43, 43]
Generated Node #0,1,2: 86:[43, 43] Operation: 94-51=43
Moving to Node #0,1,2
Current State: 86:[43, 43], Operations: ['64-13=51', '94-51=43']
Exploring Operation: 43+43=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
87,
30,
48,
18
] | 86 | [
"48-30=18",
"18/18=1",
"87-1=86"
] | Current State: 86:[87, 30, 48, 18], Operations: []
Exploring Operation: 48-30=18, Resulting Numbers: [87, 18, 18]
Generated Node #2: [87, 18, 18] from Operation: 48-30=18
Current State: 86:[87, 18, 18], Operations: ['48-30=18']
Exploring Operation: 18/18=1, Resulting Numbers: [87, 1]
Generated Node #3: [87, 1] from Operation: 18/18=1
Current State: 86:[87, 1], Operations: ['48-30=18', '18/18=1']
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[87, 30, 48, 18], Operations: []
Exploring Operation: 30+18=48, Resulting Numbers: [87, 48, 48]
Generated Node #0,0: 86:[87, 48, 48] Operation: 30+18=48
Exploring Operation: 30-18=12, Resulting Numbers: [87, 48, 12]
Generated Node #0,1: 86:[87, 48, 12] Operation: 30-18=12
Exploring Operation: 30+48=78, Resulting Numbers: [87, 18, 78]
Generated Node #0,2: 86:[87, 18, 78] Operation: 30+48=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[87, 48, 48], Operations: ['30+18=48']
Exploring Operation: 48-48=0, Resulting Numbers: [87, 0]
Generated Node #0,0,0: 86:[87, 0] Operation: 48-48=0
Exploring Operation: 87-48=39, Resulting Numbers: [48, 39]
Generated Node #0,0,1: 86:[48, 39] Operation: 87-48=39
Exploring Operation: 48/48=1, Resulting Numbers: [87, 1]
Generated Node #0,0,2: 86:[87, 1] Operation: 48/48=1
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 86:[87, 1], Operations: ['30+18=48', '48/48=1']
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[87, 30, 48, 18], Operations: []
Exploring Operation: 30+18=48, Resulting Numbers: [87, 48, 48]
Generated Node #0,0: 86:[87, 48, 48] Operation: 30+18=48
Moving to Node #0,0
Current State: 86:[87, 48, 48], Operations: ['30+18=48']
Exploring Operation: 48/48=1, Resulting Numbers: [87, 1]
Generated Node #0,0,2: 86:[87, 1] Operation: 48/48=1
Moving to Node #0,0,2
Current State: 86:[87, 1], Operations: ['30+18=48', '48/48=1']
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
17,
2,
28,
21
] | 43 | [
"28-17=11",
"2*11=22",
"21+22=43"
] | Current State: 43:[17, 2, 28, 21], Operations: []
Exploring Operation: 28-17=11, Resulting Numbers: [2, 21, 11]
Generated Node #2: [2, 21, 11] from Operation: 28-17=11
Current State: 43:[2, 21, 11], Operations: ['28-17=11']
Exploring Operation: 2*11=22, Resulting Numbers: [21, 22]
Generated Node #3: [21, 22] from Operation: 2*11=22
Current State: 43:[21, 22], Operations: ['28-17=11', '2*11=22']
Exploring Operation: 21+22=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[17, 2, 28, 21], Operations: []
Exploring Operation: 17+2=19, Resulting Numbers: [28, 21, 19]
Generated Node #0,0: 43:[28, 21, 19] Operation: 17+2=19
Exploring Operation: 2+28=30, Resulting Numbers: [17, 21, 30]
Generated Node #0,1: 43:[17, 21, 30] Operation: 2+28=30
Exploring Operation: 17+21=38, Resulting Numbers: [2, 28, 38]
Generated Node #0,2: 43:[2, 28, 38] Operation: 17+21=38
Exploring Operation: 2*21=42, Resulting Numbers: [17, 28, 42]
Generated Node #0,3: 43:[17, 28, 42] Operation: 2*21=42
Exploring Operation: 17*2=34, Resulting Numbers: [28, 21, 34]
Generated Node #0,4: 43:[28, 21, 34] Operation: 17*2=34
Start Sub Search at level 1: Moving to Node #0,3
Current State: 43:[17, 28, 42], Operations: ['2*21=42']
Exploring Operation: 17+28=45, Resulting Numbers: [42, 45]
Generated Node #0,3,0: 43:[42, 45] Operation: 17+28=45
Exploring Operation: 28-17=11, Resulting Numbers: [42, 11]
Generated Node #0,3,1: 43:[42, 11] Operation: 28-17=11
Exploring Operation: 42-17=25, Resulting Numbers: [28, 25]
Generated Node #0,3,2: 43:[28, 25] Operation: 42-17=25
Exploring Operation: 17+42=59, Resulting Numbers: [28, 59]
Generated Node #0,3,3: 43:[28, 59] Operation: 17+42=59
Exploring Operation: 28+42=70, Resulting Numbers: [17, 70]
Generated Node #0,3,4: 43:[17, 70] Operation: 28+42=70
Moving to Node #0,3,0
Current State: 43:[42, 45], Operations: ['2*21=42', '17+28=45']
Exploring Operation: 42+45=87, Resulting Numbers: [87]
87,43 unequal: No Solution
Exploring Operation: 45-42=3, Resulting Numbers: [3]
3,43 unequal: No Solution
Exploring Operation: 42*45=1890, Resulting Numbers: [1890]
1890,43 unequal: No Solution
Moving to Node #0,3,3
Current State: 43:[28, 59], Operations: ['2*21=42', '17+42=59']
Exploring Operation: 28*59=1652, Resulting Numbers: [1652]
1652,43 unequal: No Solution
Exploring Operation: 59-28=31, Resulting Numbers: [31]
31,43 unequal: No Solution
Exploring Operation: 28+59=87, Resulting Numbers: [87]
87,43 unequal: No Solution
Moving to Node #0,3,1
Current State: 43:[42, 11], Operations: ['2*21=42', '28-17=11']
Exploring Operation: 42+11=53, Resulting Numbers: [53]
53,43 unequal: No Solution
Exploring Operation: 42*11=462, Resulting Numbers: [462]
462,43 unequal: No Solution
Exploring Operation: 42-11=31, Resulting Numbers: [31]
31,43 unequal: No Solution
Moving to Node #0,3,2
Current State: 43:[28, 25], Operations: ['2*21=42', '42-17=25']
Exploring Operation: 28+25=53, Resulting Numbers: [53]
53,43 unequal: No Solution
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,43 unequal: No Solution
Exploring Operation: 28*25=700, Resulting Numbers: [700]
700,43 unequal: No Solution
Moving to Node #0,3,4
Current State: 43:[17, 70], Operations: ['2*21=42', '28+42=70']
Exploring Operation: 70-17=53, Resulting Numbers: [53]
53,43 unequal: No Solution
Exploring Operation: 17*70=1190, Resulting Numbers: [1190]
1190,43 unequal: No Solution
Exploring Operation: 17+70=87, Resulting Numbers: [87]
87,43 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 #0,4
Current State: 43:[28, 21, 34], Operations: ['17*2=34']
Exploring Operation: 28+34=62, Resulting Numbers: [21, 62]
Generated Node #0,4,0: 43:[21, 62] Operation: 28+34=62
Exploring Operation: 28-21=7, Resulting Numbers: [34, 7]
Generated Node #0,4,1: 43:[34, 7] Operation: 28-21=7
Exploring Operation: 34-21=13, Resulting Numbers: [28, 13]
Generated Node #0,4,2: 43:[28, 13] Operation: 34-21=13
Exploring Operation: 28+21=49, Resulting Numbers: [34, 49]
Generated Node #0,4,3: 43:[34, 49] Operation: 28+21=49
Exploring Operation: 21+34=55, Resulting Numbers: [28, 55]
Generated Node #0,4,4: 43:[28, 55] Operation: 21+34=55
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 43:[34, 49], Operations: ['17*2=34', '28+21=49']
Exploring Operation: 34*49=1666, Resulting Numbers: [1666]
1666,43 unequal: No Solution
Exploring Operation: 34+49=83, Resulting Numbers: [83]
83,43 unequal: No Solution
Exploring Operation: 49-34=15, Resulting Numbers: [15]
15,43 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 #0,4,4
Current State: 43:[28, 55], Operations: ['17*2=34', '21+34=55']
Exploring Operation: 28+55=83, Resulting Numbers: [83]
83,43 unequal: No Solution
Exploring Operation: 55-28=27, Resulting Numbers: [27]
27,43 unequal: No Solution
Exploring Operation: 28*55=1540, Resulting Numbers: [1540]
1540,43 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 #0,4,0
Current State: 43:[21, 62], Operations: ['17*2=34', '28+34=62']
Exploring Operation: 21*62=1302, Resulting Numbers: [1302]
1302,43 unequal: No Solution
Exploring Operation: 62-21=41, Resulting Numbers: [41]
41,43 unequal: No Solution
Exploring Operation: 21+62=83, Resulting Numbers: [83]
83,43 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 #0,4,1
Current State: 43:[34, 7], Operations: ['17*2=34', '28-21=7']
Exploring Operation: 34*7=238, Resulting Numbers: [238]
238,43 unequal: No Solution
Exploring Operation: 34+7=41, Resulting Numbers: [41]
41,43 unequal: No Solution
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,43 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 #0,4,2
Current State: 43:[28, 13], Operations: ['17*2=34', '34-21=13']
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,43 unequal: No Solution
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,43 unequal: No Solution
Exploring Operation: 28*13=364, Resulting Numbers: [364]
364,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[28, 21, 19], Operations: ['17+2=19']
Exploring Operation: 28+19=47, Resulting Numbers: [21, 47]
Generated Node #0,0,0: 43:[21, 47] Operation: 28+19=47
Exploring Operation: 21-19=2, Resulting Numbers: [28, 2]
Generated Node #0,0,1: 43:[28, 2] Operation: 21-19=2
Exploring Operation: 28+21=49, Resulting Numbers: [19, 49]
Generated Node #0,0,2: 43:[19, 49] Operation: 28+21=49
Exploring Operation: 21+19=40, Resulting Numbers: [28, 40]
Generated Node #0,0,3: 43:[28, 40] Operation: 21+19=40
Exploring Operation: 28-19=9, Resulting Numbers: [21, 9]
Generated Node #0,0,4: 43:[21, 9] Operation: 28-19=9
Moving to Node #0,0,3
Current State: 43:[28, 40], Operations: ['17+2=19', '21+19=40']
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Exploring Operation: 28*40=1120, Resulting Numbers: [1120]
1120,43 unequal: No Solution
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,43 unequal: No Solution
Moving to Node #0,0,0
Current State: 43:[21, 47], Operations: ['17+2=19', '28+19=47']
Exploring Operation: 21+47=68, Resulting Numbers: [68]
68,43 unequal: No Solution
Exploring Operation: 21*47=987, Resulting Numbers: [987]
987,43 unequal: No Solution
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,43 unequal: No Solution
Moving to Node #0,0,2
Current State: 43:[19, 49], Operations: ['17+2=19', '28+21=49']
Exploring Operation: 19+49=68, Resulting Numbers: [68]
68,43 unequal: No Solution
Exploring Operation: 49-19=30, Resulting Numbers: [30]
30,43 unequal: No Solution
Exploring Operation: 19*49=931, Resulting Numbers: [931]
931,43 unequal: No Solution
Moving to Node #0,0,1
Current State: 43:[28, 2], Operations: ['17+2=19', '21-19=2']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,43 unequal: No Solution
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,43 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,43 unequal: No Solution
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,43 unequal: No Solution
Moving to Node #0,0,4
Current State: 43:[21, 9], Operations: ['17+2=19', '28-19=9']
Exploring Operation: 21*9=189, Resulting Numbers: [189]
189,43 unequal: No Solution
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Exploring Operation: 21+9=30, Resulting Numbers: [30]
30,43 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:[17, 21, 30], Operations: ['2+28=30']
Exploring Operation: 30-17=13, Resulting Numbers: [21, 13]
Generated Node #0,1,0: 43:[21, 13] Operation: 30-17=13
Exploring Operation: 17+30=47, Resulting Numbers: [21, 47]
Generated Node #0,1,1: 43:[21, 47] Operation: 17+30=47
Exploring Operation: 21-17=4, Resulting Numbers: [30, 4]
Generated Node #0,1,2: 43:[30, 4] Operation: 21-17=4
Exploring Operation: 17+21=38, Resulting Numbers: [30, 38]
Generated Node #0,1,3: 43:[30, 38] Operation: 17+21=38
Exploring Operation: 21+30=51, Resulting Numbers: [17, 51]
Generated Node #0,1,4: 43:[17, 51] Operation: 21+30=51
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 43:[30, 38], Operations: ['2+28=30', '17+21=38']
Exploring Operation: 38-30=8, Resulting Numbers: [8]
8,43 unequal: No Solution
Exploring Operation: 30+38=68, Resulting Numbers: [68]
68,43 unequal: No Solution
Exploring Operation: 30*38=1140, Resulting Numbers: [1140]
1140,43 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:[21, 47], Operations: ['2+28=30', '17+30=47']
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,43 unequal: No Solution
Exploring Operation: 21+47=68, Resulting Numbers: [68]
68,43 unequal: No Solution
Exploring Operation: 21*47=987, Resulting Numbers: [987]
987,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 43:[17, 51], Operations: ['2+28=30', '21+30=51']
Exploring Operation: 17+51=68, Resulting Numbers: [68]
68,43 unequal: No Solution
Exploring Operation: 51/17=3, Resulting Numbers: [3]
3,43 unequal: No Solution
Exploring Operation: 17*51=867, Resulting Numbers: [867]
867,43 unequal: No Solution
Exploring Operation: 51-17=34, Resulting Numbers: [34]
34,43 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 #0,1,0
Current State: 43:[21, 13], Operations: ['2+28=30', '30-17=13']
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,43 unequal: No Solution
Exploring Operation: 21+13=34, Resulting Numbers: [34]
34,43 unequal: No Solution
Exploring Operation: 21*13=273, Resulting Numbers: [273]
273,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 43:[30, 4], Operations: ['2+28=30', '21-17=4']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,43 unequal: No Solution
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,43 unequal: No Solution
Exploring Operation: 30*4=120, Resulting Numbers: [120]
120,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 43:[2, 28, 38], Operations: ['17+21=38']
Exploring Operation: 2+38=40, Resulting Numbers: [28, 40]
Generated Node #0,2,0: 43:[28, 40] Operation: 2+38=40
Exploring Operation: 38-2=36, Resulting Numbers: [28, 36]
Generated Node #0,2,1: 43:[28, 36] Operation: 38-2=36
Exploring Operation: 2*28=56, Resulting Numbers: [38, 56]
Generated Node #0,2,2: 43:[38, 56] Operation: 2*28=56
Exploring Operation: 2+28=30, Resulting Numbers: [38, 30]
Generated Node #0,2,3: 43:[38, 30] Operation: 2+28=30
Exploring Operation: 28-2=26, Resulting Numbers: [38, 26]
Generated Node #0,2,4: 43:[38, 26] Operation: 28-2=26
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 43:[28, 40], Operations: ['17+21=38', '2+38=40']
Exploring Operation: 28*40=1120, Resulting Numbers: [1120]
1120,43 unequal: No Solution
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,43 unequal: No Solution
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 43:[38, 56], Operations: ['17+21=38', '2*28=56']
Exploring Operation: 56-38=18, Resulting Numbers: [18]
18,43 unequal: No Solution
Exploring Operation: 38+56=94, Resulting Numbers: [94]
94,43 unequal: No Solution
Exploring Operation: 38*56=2128, Resulting Numbers: [2128]
2128,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 43:[38, 30], Operations: ['17+21=38', '2+28=30']
Exploring Operation: 38-30=8, Resulting Numbers: [8]
8,43 unequal: No Solution
Exploring Operation: 38+30=68, Resulting Numbers: [68]
68,43 unequal: No Solution
Exploring Operation: 38*30=1140, Resulting Numbers: [1140]
1140,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 43:[28, 36], Operations: ['17+21=38', '38-2=36']
Exploring Operation: 28+36=64, Resulting Numbers: [64]
64,43 unequal: No Solution
Exploring Operation: 28*36=1008, Resulting Numbers: [1008]
1008,43 unequal: No Solution
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 43:[38, 26], Operations: ['17+21=38', '28-2=26']
Exploring Operation: 38+26=64, Resulting Numbers: [64]
64,43 unequal: No Solution
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,43 unequal: No Solution
Exploring Operation: 38*26=988, Resulting Numbers: [988]
988,43 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_5 | sum_heuristic |
[
42,
5,
5,
10
] | 39 | [
"42-5=37",
"10/5=2",
"37+2=39"
] | Current State: 39:[42, 5, 5, 10], Operations: []
Exploring Operation: 42-5=37, Resulting Numbers: [10, 37]
Generated Node #2: [10, 37] from Operation: 42-5=37
Current State: 39:[10, 37], Operations: ['42-5=37']
Exploring Operation: 10/5=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 10/5=2
Current State: 39:[37, 2], Operations: ['42-5=37', '10/5=2']
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[42, 5, 5, 10], Operations: []
Exploring Operation: 10/5=2, Resulting Numbers: [42, 5, 2]
Generated Node #0,0: 39:[42, 5, 2] Operation: 10/5=2
Exploring Operation: 10/5=2, Resulting Numbers: [42, 5, 2]
Generated Node #0,1: 39:[42, 5, 2] Operation: 10/5=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[42, 5, 2], Operations: ['10/5=2']
Exploring Operation: 42-2=40, Resulting Numbers: [5, 40]
Generated Node #0,0,0: 39:[5, 40] Operation: 42-2=40
Exploring Operation: 42-5=37, Resulting Numbers: [2, 37]
Generated Node #0,0,1: 39:[2, 37] Operation: 42-5=37
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[5, 40], Operations: ['10/5=2', '42-2=40']
Exploring Operation: 40/5=8, Resulting Numbers: [8]
8,39 unequal: No Solution
Exploring Operation: 40-5=35, Resulting Numbers: [35]
35,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 39:[2, 37], Operations: ['10/5=2', '42-5=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[42, 5, 5, 10], Operations: []
Exploring Operation: 10/5=2, Resulting Numbers: [42, 5, 2]
Generated Node #0,0: 39:[42, 5, 2] Operation: 10/5=2
Moving to Node #0,0
Current State: 39:[42, 5, 2], Operations: ['10/5=2']
Exploring Operation: 42-5=37, Resulting Numbers: [2, 37]
Generated Node #0,0,1: 39:[2, 37] Operation: 42-5=37
Moving to Node #0,0,1
Current State: 39:[2, 37], Operations: ['10/5=2', '42-5=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
70,
72,
9,
92
] | 99 | [
"72-70=2",
"9+92=101",
"101-2=99"
] | Current State: 99:[70, 72, 9, 92], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [9, 92, 2]
Generated Node #2: [9, 92, 2] from Operation: 72-70=2
Current State: 99:[9, 92, 2], Operations: ['72-70=2']
Exploring Operation: 9+92=101, Resulting Numbers: [2, 101]
Generated Node #3: [2, 101] from Operation: 9+92=101
Current State: 99:[2, 101], Operations: ['72-70=2', '9+92=101']
Exploring Operation: 101-2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[70, 72, 9, 92], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [9, 92, 2]
Generated Node #0,0: 99:[9, 92, 2] Operation: 72-70=2
Moving to Node #0,0
Current State: 99:[9, 92, 2], Operations: ['72-70=2']
Exploring Operation: 9+92=101, Resulting Numbers: [2, 101]
Generated Node #0,0,0: 99:[2, 101] Operation: 9+92=101
Moving to Node #0,0,0
Current State: 99:[2, 101], Operations: ['72-70=2', '9+92=101']
Exploring Operation: 101-2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[70, 72, 9, 92], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [9, 92, 2]
Generated Node #0,0: 99:[9, 92, 2] Operation: 72-70=2
Moving to Node #0,0
Current State: 99:[9, 92, 2], Operations: ['72-70=2']
Exploring Operation: 9+92=101, Resulting Numbers: [2, 101]
Generated Node #0,0,0: 99:[2, 101] Operation: 9+92=101
Moving to Node #0,0,0
Current State: 99:[2, 101], Operations: ['72-70=2', '9+92=101']
Exploring Operation: 101-2=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
7,
72,
5,
59
] | 95 | [
"7-5=2",
"72/2=36",
"59+36=95"
] | Current State: 95:[7, 72, 5, 59], Operations: []
Exploring Operation: 7-5=2, Resulting Numbers: [72, 59, 2]
Generated Node #2: [72, 59, 2] from Operation: 7-5=2
Current State: 95:[72, 59, 2], Operations: ['7-5=2']
Exploring Operation: 72/2=36, Resulting Numbers: [59, 36]
Generated Node #3: [59, 36] from Operation: 72/2=36
Current State: 95:[59, 36], Operations: ['7-5=2', '72/2=36']
Exploring Operation: 59+36=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[7, 72, 5, 59], Operations: []
Exploring Operation: 72-59=13, Resulting Numbers: [7, 5, 13]
Generated Node #0,0: 95:[7, 5, 13] Operation: 72-59=13
Moving to Node #0,0
Current State: 95:[7, 5, 13], Operations: ['72-59=13']
Exploring Operation: 7+13=20, Resulting Numbers: [5, 20]
Generated Node #0,0,0: 95:[5, 20] Operation: 7+13=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[5, 20], Operations: ['72-59=13', '7+13=20']
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,95 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 |
[
5,
15,
77,
74
] | 25 | [
"5*15=75",
"77-74=3",
"75/3=25"
] | Current State: 25:[5, 15, 77, 74], Operations: []
Exploring Operation: 5*15=75, Resulting Numbers: [77, 74, 75]
Generated Node #2: [77, 74, 75] from Operation: 5*15=75
Current State: 25:[77, 74, 75], Operations: ['5*15=75']
Exploring Operation: 77-74=3, Resulting Numbers: [75, 3]
Generated Node #3: [75, 3] from Operation: 77-74=3
Current State: 25:[75, 3], Operations: ['5*15=75', '77-74=3']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[5, 15, 77, 74], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [5, 15, 3]
Generated Node #0,0: 25:[5, 15, 3] Operation: 77-74=3
Exploring Operation: 77-15=62, Resulting Numbers: [5, 74, 62]
Generated Node #0,1: 25:[5, 74, 62] Operation: 77-15=62
Moving to Node #0,0
Current State: 25:[5, 15, 3], Operations: ['77-74=3']
Exploring Operation: 15/3=5, Resulting Numbers: [5, 5]
Generated Node #0,0,0: 25:[5, 5] Operation: 15/3=5
Exploring Operation: 15/5=3, Resulting Numbers: [3, 3]
Generated Node #0,0,1: 25:[3, 3] Operation: 15/5=3
Moving to Node #0,1
Current State: 25:[5, 74, 62], Operations: ['77-15=62']
Exploring Operation: 74-5=69, Resulting Numbers: [62, 69]
Generated Node #0,1,0: 25:[62, 69] Operation: 74-5=69
Exploring Operation: 74-62=12, Resulting Numbers: [5, 12]
Generated Node #0,1,1: 25:[5, 12] Operation: 74-62=12
Moving to Node #0,0,0
Current State: 25:[5, 5], Operations: ['77-74=3', '15/3=5']
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[5, 15, 77, 74], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [5, 15, 3]
Generated Node #0,0: 25:[5, 15, 3] Operation: 77-74=3
Moving to Node #0,0
Current State: 25:[5, 15, 3], Operations: ['77-74=3']
Exploring Operation: 15/3=5, Resulting Numbers: [5, 5]
Generated Node #0,0,0: 25:[5, 5] Operation: 15/3=5
Moving to Node #0,0,0
Current State: 25:[5, 5], Operations: ['77-74=3', '15/3=5']
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
86,
34,
58,
6
] | 68 | [
"86+34=120",
"58-6=52",
"120-52=68"
] | Current State: 68:[86, 34, 58, 6], Operations: []
Exploring Operation: 86+34=120, Resulting Numbers: [58, 6, 120]
Generated Node #2: [58, 6, 120] from Operation: 86+34=120
Current State: 68:[58, 6, 120], Operations: ['86+34=120']
Exploring Operation: 58-6=52, Resulting Numbers: [120, 52]
Generated Node #3: [120, 52] from Operation: 58-6=52
Current State: 68:[120, 52], Operations: ['86+34=120', '58-6=52']
Exploring Operation: 120-52=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[86, 34, 58, 6], Operations: []
Exploring Operation: 86-58=28, Resulting Numbers: [34, 6, 28]
Generated Node #0,0: 68:[34, 6, 28] Operation: 86-58=28
Moving to Node #0,0
Current State: 68:[34, 6, 28], Operations: ['86-58=28']
Exploring Operation: 6+28=34, Resulting Numbers: [34, 34]
Generated Node #0,0,0: 68:[34, 34] Operation: 6+28=34
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 68:[34, 34], Operations: ['86-58=28', '6+28=34']
Exploring Operation: 34+34=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[86, 34, 58, 6], Operations: []
Exploring Operation: 86-58=28, Resulting Numbers: [34, 6, 28]
Generated Node #0,0: 68:[34, 6, 28] Operation: 86-58=28
Moving to Node #0,0
Current State: 68:[34, 6, 28], Operations: ['86-58=28']
Exploring Operation: 6+28=34, Resulting Numbers: [34, 34]
Generated Node #0,0,0: 68:[34, 34] Operation: 6+28=34
Moving to Node #0,0,0
Current State: 68:[34, 34], Operations: ['86-58=28', '6+28=34']
Exploring Operation: 34+34=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
19,
22,
91,
3
] | 85 | [
"22-19=3",
"91-3=88",
"88-3=85"
] | Current State: 85:[19, 22, 91, 3], Operations: []
Exploring Operation: 22-19=3, Resulting Numbers: [91, 3, 3]
Generated Node #2: [91, 3, 3] from Operation: 22-19=3
Current State: 85:[91, 3, 3], Operations: ['22-19=3']
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,85 equal: Goal Reached
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[19, 22, 91, 3], Operations: []
Exploring Operation: 91-3=88, Resulting Numbers: [19, 22, 88]
Generated Node #0,0: 85:[19, 22, 88] Operation: 91-3=88
Exploring Operation: 22-3=19, Resulting Numbers: [19, 91, 19]
Generated Node #0,1: 85:[19, 91, 19] Operation: 22-3=19
Exploring Operation: 22-19=3, Resulting Numbers: [91, 3, 3]
Generated Node #0,2: 85:[91, 3, 3] Operation: 22-19=3
Moving to Node #0,0
Current State: 85:[19, 22, 88], Operations: ['91-3=88']
Exploring Operation: 88/22=4, Resulting Numbers: [19, 4]
Generated Node #0,0,0: 85:[19, 4] Operation: 88/22=4
Exploring Operation: 88-19=69, Resulting Numbers: [22, 69]
Generated Node #0,0,1: 85:[22, 69] Operation: 88-19=69
Exploring Operation: 22-19=3, Resulting Numbers: [88, 3]
Generated Node #0,0,2: 85:[88, 3] Operation: 22-19=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 85:[19, 4], Operations: ['91-3=88', '88/22=4']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,85 unequal: No Solution
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,85 unequal: No Solution
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,85 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 85:[88, 3], Operations: ['91-3=88', '22-19=3']
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,85 unequal: No Solution
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[19, 22, 91, 3], Operations: []
Exploring Operation: 91-3=88, Resulting Numbers: [19, 22, 88]
Generated Node #0,0: 85:[19, 22, 88] Operation: 91-3=88
Moving to Node #0,0
Current State: 85:[19, 22, 88], Operations: ['91-3=88']
Exploring Operation: 22-19=3, Resulting Numbers: [88, 3]
Generated Node #0,0,2: 85:[88, 3] Operation: 22-19=3
Moving to Node #0,0,2
Current State: 85:[88, 3], Operations: ['91-3=88', '22-19=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | mult_heuristic |
[
48,
88,
37,
85
] | 77 | [
"48-37=11",
"88/11=8",
"85-8=77"
] | Current State: 77:[48, 88, 37, 85], Operations: []
Exploring Operation: 48-37=11, Resulting Numbers: [88, 85, 11]
Generated Node #2: [88, 85, 11] from Operation: 48-37=11
Current State: 77:[88, 85, 11], Operations: ['48-37=11']
Exploring Operation: 88/11=8, Resulting Numbers: [85, 8]
Generated Node #3: [85, 8] from Operation: 88/11=8
Current State: 77:[85, 8], Operations: ['48-37=11', '88/11=8']
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[48, 88, 37, 85], Operations: []
Exploring Operation: 88-48=40, Resulting Numbers: [37, 85, 40]
Generated Node #0,0: 77:[37, 85, 40] Operation: 88-48=40
Exploring Operation: 48+37=85, Resulting Numbers: [88, 85, 85]
Generated Node #0,1: 77:[88, 85, 85] Operation: 48+37=85
Exploring Operation: 88-85=3, Resulting Numbers: [48, 37, 3]
Generated Node #0,2: 77:[48, 37, 3] Operation: 88-85=3
Exploring Operation: 48-37=11, Resulting Numbers: [88, 85, 11]
Generated Node #0,3: 77:[88, 85, 11] Operation: 48-37=11
Start Sub Search at level 1: Moving to Node #0,3
Current State: 77:[88, 85, 11], Operations: ['48-37=11']
Exploring Operation: 85-11=74, Resulting Numbers: [88, 74]
Generated Node #0,3,0: 77:[88, 74] Operation: 85-11=74
Exploring Operation: 88-11=77, Resulting Numbers: [85, 77]
Generated Node #0,3,1: 77:[85, 77] Operation: 88-11=77
Exploring Operation: 88-85=3, Resulting Numbers: [11, 3]
Generated Node #0,3,2: 77:[11, 3] Operation: 88-85=3
Exploring Operation: 88/11=8, Resulting Numbers: [85, 8]
Generated Node #0,3,3: 77:[85, 8] Operation: 88/11=8
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 77:[11, 3], Operations: ['48-37=11', '88-85=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,77 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,77 unequal: No Solution
No 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: 77:[85, 77], Operations: ['48-37=11', '88-11=77']
Exploring Operation: 85+77=162, Resulting Numbers: [162]
162,77 unequal: No Solution
Exploring Operation: 85-77=8, Resulting Numbers: [8]
8,77 unequal: No Solution
Exploring Operation: 85*77=6545, Resulting Numbers: [6545]
6545,77 unequal: No Solution
No 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: 77:[85, 8], Operations: ['48-37=11', '88/11=8']
Exploring Operation: 85*8=680, Resulting Numbers: [680]
680,77 unequal: No Solution
Exploring Operation: 85+8=93, Resulting Numbers: [93]
93,77 unequal: No Solution
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[48, 88, 37, 85], Operations: []
Exploring Operation: 48-37=11, Resulting Numbers: [88, 85, 11]
Generated Node #0,3: 77:[88, 85, 11] Operation: 48-37=11
Moving to Node #0,3
Current State: 77:[88, 85, 11], Operations: ['48-37=11']
Exploring Operation: 88/11=8, Resulting Numbers: [85, 8]
Generated Node #0,3,3: 77:[85, 8] Operation: 88/11=8
Moving to Node #0,3,3
Current State: 77:[85, 8], Operations: ['48-37=11', '88/11=8']
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
28,
45,
59,
47
] | 33 | [
"28+45=73",
"59+47=106",
"106-73=33"
] | Current State: 33:[28, 45, 59, 47], Operations: []
Exploring Operation: 28+45=73, Resulting Numbers: [59, 47, 73]
Generated Node #2: [59, 47, 73] from Operation: 28+45=73
Current State: 33:[59, 47, 73], Operations: ['28+45=73']
Exploring Operation: 59+47=106, Resulting Numbers: [73, 106]
Generated Node #3: [73, 106] from Operation: 59+47=106
Current State: 33:[73, 106], Operations: ['28+45=73', '59+47=106']
Exploring Operation: 106-73=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[28, 45, 59, 47], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [28, 59, 2]
Generated Node #0,0: 33:[28, 59, 2] Operation: 47-45=2
Exploring Operation: 45-28=17, Resulting Numbers: [59, 47, 17]
Generated Node #0,1: 33:[59, 47, 17] Operation: 45-28=17
Exploring Operation: 59-28=31, Resulting Numbers: [45, 47, 31]
Generated Node #0,2: 33:[45, 47, 31] Operation: 59-28=31
Exploring Operation: 59-47=12, Resulting Numbers: [28, 45, 12]
Generated Node #0,3: 33:[28, 45, 12] Operation: 59-47=12
Exploring Operation: 59-45=14, Resulting Numbers: [28, 47, 14]
Generated Node #0,4: 33:[28, 47, 14] Operation: 59-45=14
Start Sub Search at level 1: Moving to Node #0,3
Current State: 33:[28, 45, 12], Operations: ['59-47=12']
Exploring Operation: 28+12=40, Resulting Numbers: [45, 40]
Generated Node #0,3,0: 33:[45, 40] Operation: 28+12=40
Exploring Operation: 45-12=33, Resulting Numbers: [28, 33]
Generated Node #0,3,1: 33:[28, 33] Operation: 45-12=33
Exploring Operation: 45+12=57, Resulting Numbers: [28, 57]
Generated Node #0,3,2: 33:[28, 57] Operation: 45+12=57
Exploring Operation: 28-12=16, Resulting Numbers: [45, 16]
Generated Node #0,3,3: 33:[45, 16] Operation: 28-12=16
Exploring Operation: 45-28=17, Resulting Numbers: [12, 17]
Generated Node #0,3,4: 33:[12, 17] Operation: 45-28=17
Moving to Node #0,3,1
Current State: 33:[28, 33], Operations: ['59-47=12', '45-12=33']
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,33 unequal: No Solution
Exploring Operation: 28*33=924, Resulting Numbers: [924]
924,33 unequal: No Solution
Exploring Operation: 28+33=61, Resulting Numbers: [61]
61,33 unequal: No Solution
Moving to Node #0,3,4
Current State: 33:[12, 17], Operations: ['59-47=12', '45-28=17']
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,33 unequal: No Solution
Exploring Operation: 12*17=204, Resulting Numbers: [204]
204,33 unequal: No Solution
Exploring Operation: 12+17=29, Resulting Numbers: [29]
29,33 unequal: No Solution
Moving to Node #0,3,3
Current State: 33:[45, 16], Operations: ['59-47=12', '28-12=16']
Exploring Operation: 45+16=61, Resulting Numbers: [61]
61,33 unequal: No Solution
Exploring Operation: 45*16=720, Resulting Numbers: [720]
720,33 unequal: No Solution
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,33 unequal: No Solution
Moving to Node #0,3,0
Current State: 33:[45, 40], Operations: ['59-47=12', '28+12=40']
Exploring Operation: 45+40=85, Resulting Numbers: [85]
85,33 unequal: No Solution
Exploring Operation: 45*40=1800, Resulting Numbers: [1800]
1800,33 unequal: No Solution
Exploring Operation: 45-40=5, Resulting Numbers: [5]
5,33 unequal: No Solution
Moving to Node #0,3,2
Current State: 33:[28, 57], Operations: ['59-47=12', '45+12=57']
Exploring Operation: 28*57=1596, Resulting Numbers: [1596]
1596,33 unequal: No Solution
Exploring Operation: 57-28=29, Resulting Numbers: [29]
29,33 unequal: No Solution
Exploring Operation: 28+57=85, Resulting Numbers: [85]
85,33 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 #0,4
Current State: 33:[28, 47, 14], Operations: ['59-45=14']
Exploring Operation: 47-28=19, Resulting Numbers: [14, 19]
Generated Node #0,4,0: 33:[14, 19] Operation: 47-28=19
Exploring Operation: 28/14=2, Resulting Numbers: [47, 2]
Generated Node #0,4,1: 33:[47, 2] Operation: 28/14=2
Exploring Operation: 28-14=14, Resulting Numbers: [47, 14]
Generated Node #0,4,2: 33:[47, 14] Operation: 28-14=14
Exploring Operation: 47-14=33, Resulting Numbers: [28, 33]
Generated Node #0,4,3: 33:[28, 33] Operation: 47-14=33
Exploring Operation: 28+14=42, Resulting Numbers: [47, 42]
Generated Node #0,4,4: 33:[47, 42] Operation: 28+14=42
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 33:[28, 33], Operations: ['59-45=14', '47-14=33']
Exploring Operation: 28*33=924, Resulting Numbers: [924]
924,33 unequal: No Solution
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,33 unequal: No Solution
Exploring Operation: 28+33=61, Resulting Numbers: [61]
61,33 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 #0,4,0
Current State: 33:[14, 19], Operations: ['59-45=14', '47-28=19']
Exploring Operation: 14+19=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[28, 45, 59, 47], Operations: []
Exploring Operation: 59-45=14, Resulting Numbers: [28, 47, 14]
Generated Node #0,4: 33:[28, 47, 14] Operation: 59-45=14
Moving to Node #0,4
Current State: 33:[28, 47, 14], Operations: ['59-45=14']
Exploring Operation: 47-28=19, Resulting Numbers: [14, 19]
Generated Node #0,4,0: 33:[14, 19] Operation: 47-28=19
Moving to Node #0,4,0
Current State: 33:[14, 19], Operations: ['59-45=14', '47-28=19']
Exploring Operation: 14+19=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967014 | hs_5 | mult_heuristic |
[
56,
9,
2,
38
] | 87 | [
"56-9=47",
"2+38=40",
"47+40=87"
] | Current State: 87:[56, 9, 2, 38], Operations: []
Exploring Operation: 56-9=47, Resulting Numbers: [2, 38, 47]
Generated Node #2: [2, 38, 47] from Operation: 56-9=47
Current State: 87:[2, 38, 47], Operations: ['56-9=47']
Exploring Operation: 2+38=40, Resulting Numbers: [47, 40]
Generated Node #3: [47, 40] from Operation: 2+38=40
Current State: 87:[47, 40], Operations: ['56-9=47', '2+38=40']
Exploring Operation: 47+40=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[56, 9, 2, 38], Operations: []
Exploring Operation: 56+38=94, Resulting Numbers: [9, 2, 94]
Generated Node #0,0: 87:[9, 2, 94] Operation: 56+38=94
Exploring Operation: 56/2=28, Resulting Numbers: [9, 38, 28]
Generated Node #0,1: 87:[9, 38, 28] Operation: 56/2=28
Moving to Node #0,0
Current State: 87:[9, 2, 94], Operations: ['56+38=94']
Exploring Operation: 9-2=7, Resulting Numbers: [94, 7]
Generated Node #0,0,0: 87:[94, 7] Operation: 9-2=7
Exploring Operation: 94-9=85, Resulting Numbers: [2, 85]
Generated Node #0,0,1: 87:[2, 85] Operation: 94-9=85
Moving to Node #0,1
Current State: 87:[9, 38, 28], Operations: ['56/2=28']
Exploring Operation: 38-9=29, Resulting Numbers: [28, 29]
Generated Node #0,1,0: 87:[28, 29] Operation: 38-9=29
Exploring Operation: 38-28=10, Resulting Numbers: [9, 10]
Generated Node #0,1,1: 87:[9, 10] Operation: 38-28=10
Moving to Node #0,1,0
Current State: 87:[28, 29], Operations: ['56/2=28', '38-9=29']
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,87 unequal: No Solution
Exploring Operation: 28+29=57, Resulting Numbers: [57]
57,87 unequal: No Solution
Moving to Node #0,0,1
Current State: 87:[2, 85], Operations: ['56+38=94', '94-9=85']
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,87 unequal: No Solution
Exploring Operation: 2+85=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[56, 9, 2, 38], Operations: []
Exploring Operation: 56+38=94, Resulting Numbers: [9, 2, 94]
Generated Node #0,0: 87:[9, 2, 94] Operation: 56+38=94
Moving to Node #0,0
Current State: 87:[9, 2, 94], Operations: ['56+38=94']
Exploring Operation: 94-9=85, Resulting Numbers: [2, 85]
Generated Node #0,0,1: 87:[2, 85] Operation: 94-9=85
Moving to Node #0,0,1
Current State: 87:[2, 85], Operations: ['56+38=94', '94-9=85']
Exploring Operation: 2+85=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 0.987847 | hs_2 | mult_heuristic |
[
5,
20,
39,
95
] | 60 | [
"20/5=4",
"95-39=56",
"4+56=60"
] | Current State: 60:[5, 20, 39, 95], Operations: []
Exploring Operation: 20/5=4, Resulting Numbers: [39, 95, 4]
Generated Node #2: [39, 95, 4] from Operation: 20/5=4
Current State: 60:[39, 95, 4], Operations: ['20/5=4']
Exploring Operation: 95-39=56, Resulting Numbers: [4, 56]
Generated Node #3: [4, 56] from Operation: 95-39=56
Current State: 60:[4, 56], Operations: ['20/5=4', '95-39=56']
Exploring Operation: 4+56=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[5, 20, 39, 95], Operations: []
Exploring Operation: 95/5=19, Resulting Numbers: [20, 39, 19]
Generated Node #0,0: 60:[20, 39, 19] Operation: 95/5=19
Exploring Operation: 95-39=56, Resulting Numbers: [5, 20, 56]
Generated Node #0,1: 60:[5, 20, 56] Operation: 95-39=56
Exploring Operation: 95-20=75, Resulting Numbers: [5, 39, 75]
Generated Node #0,2: 60:[5, 39, 75] Operation: 95-20=75
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[5, 20, 56], Operations: ['95-39=56']
Exploring Operation: 20/5=4, Resulting Numbers: [56, 4]
Generated Node #0,1,0: 60:[56, 4] Operation: 20/5=4
Exploring Operation: 20-5=15, Resulting Numbers: [56, 15]
Generated Node #0,1,1: 60:[56, 15] Operation: 20-5=15
Exploring Operation: 5+56=61, Resulting Numbers: [20, 61]
Generated Node #0,1,2: 60:[20, 61] Operation: 5+56=61
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 60:[20, 61], Operations: ['95-39=56', '5+56=61']
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,60 unequal: No Solution
Exploring Operation: 20*61=1220, Resulting Numbers: [1220]
1220,60 unequal: No Solution
Exploring Operation: 20+61=81, Resulting Numbers: [81]
81,60 unequal: No Solution
No 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: 60:[56, 4], Operations: ['95-39=56', '20/5=4']
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,60 unequal: No Solution
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 56+4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[5, 20, 39, 95], Operations: []
Exploring Operation: 95-39=56, Resulting Numbers: [5, 20, 56]
Generated Node #0,1: 60:[5, 20, 56] Operation: 95-39=56
Moving to Node #0,1
Current State: 60:[5, 20, 56], Operations: ['95-39=56']
Exploring Operation: 20/5=4, Resulting Numbers: [56, 4]
Generated Node #0,1,0: 60:[56, 4] Operation: 20/5=4
Moving to Node #0,1,0
Current State: 60:[56, 4], Operations: ['95-39=56', '20/5=4']
Exploring Operation: 56+4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
68,
42,
22,
35
] | 31 | [
"68-42=26",
"22+35=57",
"57-26=31"
] | Current State: 31:[68, 42, 22, 35], Operations: []
Exploring Operation: 68-42=26, Resulting Numbers: [22, 35, 26]
Generated Node #2: [22, 35, 26] from Operation: 68-42=26
Current State: 31:[22, 35, 26], Operations: ['68-42=26']
Exploring Operation: 22+35=57, Resulting Numbers: [26, 57]
Generated Node #3: [26, 57] from Operation: 22+35=57
Current State: 31:[26, 57], Operations: ['68-42=26', '22+35=57']
Exploring Operation: 57-26=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[68, 42, 22, 35], Operations: []
Exploring Operation: 68-42=26, Resulting Numbers: [22, 35, 26]
Generated Node #0,0: 31:[22, 35, 26] Operation: 68-42=26
Exploring Operation: 68-35=33, Resulting Numbers: [42, 22, 33]
Generated Node #0,1: 31:[42, 22, 33] Operation: 68-35=33
Exploring Operation: 35-22=13, Resulting Numbers: [68, 42, 13]
Generated Node #0,2: 31:[68, 42, 13] Operation: 35-22=13
Exploring Operation: 42-22=20, Resulting Numbers: [68, 35, 20]
Generated Node #0,3: 31:[68, 35, 20] Operation: 42-22=20
Exploring Operation: 68-22=46, Resulting Numbers: [42, 35, 46]
Generated Node #0,4: 31:[42, 35, 46] Operation: 68-22=46
Moving to Node #0,0
Current State: 31:[22, 35, 26], Operations: ['68-42=26']
Exploring Operation: 26-22=4, Resulting Numbers: [35, 4]
Generated Node #0,0,0: 31:[35, 4] Operation: 26-22=4
Exploring Operation: 35-26=9, Resulting Numbers: [22, 9]
Generated Node #0,0,1: 31:[22, 9] Operation: 35-26=9
Exploring Operation: 22+35=57, Resulting Numbers: [26, 57]
Generated Node #0,0,2: 31:[26, 57] Operation: 22+35=57
Exploring Operation: 22+26=48, Resulting Numbers: [35, 48]
Generated Node #0,0,3: 31:[35, 48] Operation: 22+26=48
Exploring Operation: 35-22=13, Resulting Numbers: [26, 13]
Generated Node #0,0,4: 31:[26, 13] Operation: 35-22=13
Moving to Node #0,1
Current State: 31:[42, 22, 33], Operations: ['68-35=33']
Exploring Operation: 42-22=20, Resulting Numbers: [33, 20]
Generated Node #0,1,0: 31:[33, 20] Operation: 42-22=20
Exploring Operation: 42+22=64, Resulting Numbers: [33, 64]
Generated Node #0,1,1: 31:[33, 64] Operation: 42+22=64
Exploring Operation: 42-33=9, Resulting Numbers: [22, 9]
Generated Node #0,1,2: 31:[22, 9] Operation: 42-33=9
Exploring Operation: 22+33=55, Resulting Numbers: [42, 55]
Generated Node #0,1,3: 31:[42, 55] Operation: 22+33=55
Exploring Operation: 33-22=11, Resulting Numbers: [42, 11]
Generated Node #0,1,4: 31:[42, 11] Operation: 33-22=11
Moving to Node #0,4
Current State: 31:[42, 35, 46], Operations: ['68-22=46']
Exploring Operation: 46-42=4, Resulting Numbers: [35, 4]
Generated Node #0,4,0: 31:[35, 4] Operation: 46-42=4
Exploring Operation: 42+46=88, Resulting Numbers: [35, 88]
Generated Node #0,4,1: 31:[35, 88] Operation: 42+46=88
Exploring Operation: 42-35=7, Resulting Numbers: [46, 7]
Generated Node #0,4,2: 31:[46, 7] Operation: 42-35=7
Exploring Operation: 46-35=11, Resulting Numbers: [42, 11]
Generated Node #0,4,3: 31:[42, 11] Operation: 46-35=11
Exploring Operation: 42+35=77, Resulting Numbers: [46, 77]
Generated Node #0,4,4: 31:[46, 77] Operation: 42+35=77
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 31:[35, 4], Operations: ['68-22=46', '46-42=4']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[68, 42, 22, 35], Operations: []
Exploring Operation: 68-22=46, Resulting Numbers: [42, 35, 46]
Generated Node #0,4: 31:[42, 35, 46] Operation: 68-22=46
Moving to Node #0,4
Current State: 31:[42, 35, 46], Operations: ['68-22=46']
Exploring Operation: 46-42=4, Resulting Numbers: [35, 4]
Generated Node #0,4,0: 31:[35, 4] Operation: 46-42=4
Moving to Node #0,4,0
Current State: 31:[35, 4], Operations: ['68-22=46', '46-42=4']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | mult_heuristic |
[
9,
1,
71,
9
] | 73 | [
"9/9=1",
"1+71=72",
"1+72=73"
] | Current State: 73:[9, 1, 71, 9], Operations: []
Exploring Operation: 9/9=1, Resulting Numbers: [1, 71, 1]
Generated Node #2: [1, 71, 1] from Operation: 9/9=1
Current State: 73:[1, 71, 1], Operations: ['9/9=1']
Exploring Operation: 1+71=72, Resulting Numbers: [72]
72,73 equal: Goal Reached
Exploring Operation: 1+72=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[9, 1, 71, 9], Operations: []
Exploring Operation: 1+71=72, Resulting Numbers: [9, 9, 72]
Generated Node #0,0: 73:[9, 9, 72] Operation: 1+71=72
Exploring Operation: 9+1=10, Resulting Numbers: [71, 9, 10]
Generated Node #0,1: 73:[71, 9, 10] Operation: 9+1=10
Exploring Operation: 9*9=81, Resulting Numbers: [1, 71, 81]
Generated Node #0,2: 73:[1, 71, 81] Operation: 9*9=81
Exploring Operation: 9+9=18, Resulting Numbers: [1, 71, 18]
Generated Node #0,3: 73:[1, 71, 18] Operation: 9+9=18
Moving to Node #0,2
Current State: 73:[1, 71, 81], Operations: ['9*9=81']
Exploring Operation: 1*71=71, Resulting Numbers: [81, 71]
Generated Node #0,2,0: 73:[81, 71] Operation: 1*71=71
Exploring Operation: 1+71=72, Resulting Numbers: [81, 72]
Generated Node #0,2,1: 73:[81, 72] Operation: 1+71=72
Exploring Operation: 71/1=71, Resulting Numbers: [81, 71]
Generated Node #0,2,2: 73:[81, 71] Operation: 71/1=71
Exploring Operation: 81-1=80, Resulting Numbers: [71, 80]
Generated Node #0,2,3: 73:[71, 80] Operation: 81-1=80
Moving to Node #0,1
Current State: 73:[71, 9, 10], Operations: ['9+1=10']
Exploring Operation: 71+9=80, Resulting Numbers: [10, 80]
Generated Node #0,1,0: 73:[10, 80] Operation: 71+9=80
Exploring Operation: 9+10=19, Resulting Numbers: [71, 19]
Generated Node #0,1,1: 73:[71, 19] Operation: 9+10=19
Exploring Operation: 9*10=90, Resulting Numbers: [71, 90]
Generated Node #0,1,2: 73:[71, 90] Operation: 9*10=90
Exploring Operation: 71+10=81, Resulting Numbers: [9, 81]
Generated Node #0,1,3: 73:[9, 81] Operation: 71+10=81
Moving to Node #0,0
Current State: 73:[9, 9, 72], Operations: ['1+71=72']
Exploring Operation: 9+9=18, Resulting Numbers: [72, 18]
Generated Node #0,0,0: 73:[72, 18] Operation: 9+9=18
Exploring Operation: 9+72=81, Resulting Numbers: [9, 81]
Generated Node #0,0,1: 73:[9, 81] Operation: 9+72=81
Exploring Operation: 9*9=81, Resulting Numbers: [72, 81]
Generated Node #0,0,2: 73:[72, 81] Operation: 9*9=81
Exploring Operation: 9+72=81, Resulting Numbers: [9, 81]
Generated Node #0,0,3: 73:[9, 81] Operation: 9+72=81
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 73:[72, 81], Operations: ['1+71=72', '9*9=81']
Exploring Operation: 72*81=5832, Resulting Numbers: [5832]
5832,73 unequal: No Solution
Exploring Operation: 72+81=153, Resulting Numbers: [153]
153,73 unequal: No Solution
Exploring Operation: 81-72=9, Resulting Numbers: [9]
9,73 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 #0,0,0
Current State: 73:[72, 18], Operations: ['1+71=72', '9+9=18']
Exploring Operation: 72/18=4, Resulting Numbers: [4]
4,73 unequal: No Solution
Exploring Operation: 72*18=1296, Resulting Numbers: [1296]
1296,73 unequal: No Solution
Exploring Operation: 72+18=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,73 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:[9, 81], Operations: ['1+71=72', '9+72=81']
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,73 unequal: No Solution
Exploring Operation: 9+81=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Exploring Operation: 81/9=9, Resulting Numbers: [9]
9,73 unequal: No Solution
Exploring Operation: 9*81=729, Resulting Numbers: [729]
729,73 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:[9, 81], Operations: ['1+71=72', '9+72=81']
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,73 unequal: No Solution
Exploring Operation: 9*81=729, Resulting Numbers: [729]
729,73 unequal: No Solution
Exploring Operation: 9+81=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Exploring Operation: 81/9=9, Resulting Numbers: [9]
9,73 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:[1, 71, 18], Operations: ['9+9=18']
Exploring Operation: 1+18=19, Resulting Numbers: [71, 19]
Generated Node #0,3,0: 73:[71, 19] Operation: 1+18=19
Exploring Operation: 1+71=72, Resulting Numbers: [18, 72]
Generated Node #0,3,1: 73:[18, 72] Operation: 1+71=72
Exploring Operation: 71/1=71, Resulting Numbers: [18, 71]
Generated Node #0,3,2: 73:[18, 71] Operation: 71/1=71
Exploring Operation: 1*71=71, Resulting Numbers: [18, 71]
Generated Node #0,3,3: 73:[18, 71] Operation: 1*71=71
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 73:[71, 19], Operations: ['9+9=18', '1+18=19']
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,73 unequal: No Solution
Exploring Operation: 71+19=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Exploring Operation: 71*19=1349, Resulting Numbers: [1349]
1349,73 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:[18, 72], Operations: ['9+9=18', '1+71=72']
Exploring Operation: 72/18=4, Resulting Numbers: [4]
4,73 unequal: No Solution
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,73 unequal: No Solution
Exploring Operation: 18*72=1296, Resulting Numbers: [1296]
1296,73 unequal: No Solution
Exploring Operation: 18+72=90, Resulting Numbers: [90]
90,73 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:[18, 71], Operations: ['9+9=18', '71/1=71']
Exploring Operation: 18+71=89, Resulting Numbers: [89]
89,73 unequal: No Solution
Exploring Operation: 71-18=53, Resulting Numbers: [53]
53,73 unequal: No Solution
Exploring Operation: 18*71=1278, Resulting Numbers: [1278]
1278,73 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:[18, 71], Operations: ['9+9=18', '1*71=71']
Exploring Operation: 18+71=89, Resulting Numbers: [89]
89,73 unequal: No Solution
Exploring Operation: 71-18=53, Resulting Numbers: [53]
53,73 unequal: No Solution
Exploring Operation: 18*71=1278, Resulting Numbers: [1278]
1278,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 73:[81, 72], Operations: ['9*9=81', '1+71=72']
Exploring Operation: 81*72=5832, Resulting Numbers: [5832]
5832,73 unequal: No Solution
Exploring Operation: 81+72=153, Resulting Numbers: [153]
153,73 unequal: No Solution
Exploring Operation: 81-72=9, Resulting Numbers: [9]
9,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[71, 80], Operations: ['9*9=81', '81-1=80']
Exploring Operation: 71+80=151, Resulting Numbers: [151]
151,73 unequal: No Solution
Exploring Operation: 80-71=9, Resulting Numbers: [9]
9,73 unequal: No Solution
Exploring Operation: 71*80=5680, Resulting Numbers: [5680]
5680,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[81, 71], Operations: ['9*9=81', '1*71=71']
Exploring Operation: 81+71=152, Resulting Numbers: [152]
152,73 unequal: No Solution
Exploring Operation: 81*71=5751, Resulting Numbers: [5751]
5751,73 unequal: No Solution
Exploring Operation: 81-71=10, Resulting Numbers: [10]
10,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[81, 71], Operations: ['9*9=81', '71/1=71']
Exploring Operation: 81-71=10, Resulting Numbers: [10]
10,73 unequal: No Solution
Exploring Operation: 81*71=5751, Resulting Numbers: [5751]
5751,73 unequal: No Solution
Exploring Operation: 81+71=152, Resulting Numbers: [152]
152,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[71, 90], Operations: ['9+1=10', '9*10=90']
Exploring Operation: 71*90=6390, Resulting Numbers: [6390]
6390,73 unequal: No Solution
Exploring Operation: 71+90=161, Resulting Numbers: [161]
161,73 unequal: No Solution
Exploring Operation: 90-71=19, Resulting Numbers: [19]
19,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[71, 19], Operations: ['9+1=10', '9+10=19']
Exploring Operation: 71*19=1349, Resulting Numbers: [1349]
1349,73 unequal: No Solution
Exploring Operation: 71+19=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[10, 80], Operations: ['9+1=10', '71+9=80']
Exploring Operation: 80-10=70, Resulting Numbers: [70]
70,73 unequal: No Solution
Exploring Operation: 10*80=800, Resulting Numbers: [800]
800,73 unequal: No Solution
Exploring Operation: 80/10=8, Resulting Numbers: [8]
8,73 unequal: No Solution
Exploring Operation: 10+80=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[9, 81], Operations: ['9+1=10', '71+10=81']
Exploring Operation: 9+81=90, Resulting Numbers: [90]
90,73 unequal: No Solution
Exploring Operation: 9*81=729, Resulting Numbers: [729]
729,73 unequal: No Solution
Exploring Operation: 81/9=9, Resulting Numbers: [9]
9,73 unequal: No Solution
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,73 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
11,
62,
9,
45
] | 87 | [
"62-11=51",
"45-9=36",
"51+36=87"
] | Current State: 87:[11, 62, 9, 45], Operations: []
Exploring Operation: 62-11=51, Resulting Numbers: [9, 45, 51]
Generated Node #2: [9, 45, 51] from Operation: 62-11=51
Current State: 87:[9, 45, 51], Operations: ['62-11=51']
Exploring Operation: 45-9=36, Resulting Numbers: [51, 36]
Generated Node #3: [51, 36] from Operation: 45-9=36
Current State: 87:[51, 36], Operations: ['62-11=51', '45-9=36']
Exploring Operation: 51+36=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[11, 62, 9, 45], Operations: []
Exploring Operation: 62-45=17, Resulting Numbers: [11, 9, 17]
Generated Node #0,0: 87:[11, 9, 17] Operation: 62-45=17
Exploring Operation: 45/9=5, Resulting Numbers: [11, 62, 5]
Generated Node #0,1: 87:[11, 62, 5] Operation: 45/9=5
Exploring Operation: 62+45=107, Resulting Numbers: [11, 9, 107]
Generated Node #0,2: 87:[11, 9, 107] Operation: 62+45=107
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[11, 9, 17], Operations: ['62-45=17']
Exploring Operation: 17-11=6, Resulting Numbers: [9, 6]
Generated Node #0,0,0: 87:[9, 6] Operation: 17-11=6
Exploring Operation: 9+17=26, Resulting Numbers: [11, 26]
Generated Node #0,0,1: 87:[11, 26] Operation: 9+17=26
Exploring Operation: 11+17=28, Resulting Numbers: [9, 28]
Generated Node #0,0,2: 87:[9, 28] Operation: 11+17=28
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 87:[9, 28], Operations: ['62-45=17', '11+17=28']
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,87 unequal: No Solution
Exploring Operation: 9+28=37, Resulting Numbers: [37]
37,87 unequal: No Solution
Exploring Operation: 9*28=252, Resulting Numbers: [252]
252,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[9, 6], Operations: ['62-45=17', '17-11=6']
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,87 unequal: No Solution
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,87 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 87:[11, 26], Operations: ['62-45=17', '9+17=26']
Exploring Operation: 11*26=286, Resulting Numbers: [286]
286,87 unequal: No Solution
Exploring Operation: 11+26=37, Resulting Numbers: [37]
37,87 unequal: No Solution
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 87:[11, 9, 107], Operations: ['62+45=107']
Exploring Operation: 11-9=2, Resulting Numbers: [107, 2]
Generated Node #0,2,0: 87:[107, 2] Operation: 11-9=2
Exploring Operation: 107-11=96, Resulting Numbers: [9, 96]
Generated Node #0,2,1: 87:[9, 96] Operation: 107-11=96
Exploring Operation: 107-9=98, Resulting Numbers: [11, 98]
Generated Node #0,2,2: 87:[11, 98] Operation: 107-9=98
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 87:[9, 96], Operations: ['62+45=107', '107-11=96']
Exploring Operation: 9*96=864, Resulting Numbers: [864]
864,87 unequal: No Solution
Exploring Operation: 96-9=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[11, 62, 9, 45], Operations: []
Exploring Operation: 62+45=107, Resulting Numbers: [11, 9, 107]
Generated Node #0,2: 87:[11, 9, 107] Operation: 62+45=107
Moving to Node #0,2
Current State: 87:[11, 9, 107], Operations: ['62+45=107']
Exploring Operation: 107-11=96, Resulting Numbers: [9, 96]
Generated Node #0,2,1: 87:[9, 96] Operation: 107-11=96
Moving to Node #0,2,1
Current State: 87:[9, 96], Operations: ['62+45=107', '107-11=96']
Exploring Operation: 96-9=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.979167 | hs_3 | mult_heuristic |
[
45,
61,
49,
32
] | 65 | [
"61-45=16",
"49+32=81",
"81-16=65"
] | Current State: 65:[45, 61, 49, 32], Operations: []
Exploring Operation: 61-45=16, Resulting Numbers: [49, 32, 16]
Generated Node #2: [49, 32, 16] from Operation: 61-45=16
Current State: 65:[49, 32, 16], Operations: ['61-45=16']
Exploring Operation: 49+32=81, Resulting Numbers: [16, 81]
Generated Node #3: [16, 81] from Operation: 49+32=81
Current State: 65:[16, 81], Operations: ['61-45=16', '49+32=81']
Exploring Operation: 81-16=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[45, 61, 49, 32], Operations: []
Exploring Operation: 49-32=17, Resulting Numbers: [45, 61, 17]
Generated Node #0,0: 65:[45, 61, 17] Operation: 49-32=17
Exploring Operation: 49-45=4, Resulting Numbers: [61, 32, 4]
Generated Node #0,1: 65:[61, 32, 4] Operation: 49-45=4
Exploring Operation: 45-32=13, Resulting Numbers: [61, 49, 13]
Generated Node #0,2: 65:[61, 49, 13] Operation: 45-32=13
Moving to Node #0,2
Current State: 65:[61, 49, 13], Operations: ['45-32=13']
Exploring Operation: 61+13=74, Resulting Numbers: [49, 74]
Generated Node #0,2,0: 65:[49, 74] Operation: 61+13=74
Exploring Operation: 49+13=62, Resulting Numbers: [61, 62]
Generated Node #0,2,1: 65:[61, 62] Operation: 49+13=62
Exploring Operation: 61-49=12, Resulting Numbers: [13, 12]
Generated Node #0,2,2: 65:[13, 12] Operation: 61-49=12
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 65:[13, 12], Operations: ['45-32=13', '61-49=12']
Exploring Operation: 13*12=156, Resulting Numbers: [156]
156,65 unequal: No Solution
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,65 unequal: No Solution
Exploring Operation: 13-12=1, Resulting Numbers: [1]
1,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 65:[61, 62], Operations: ['45-32=13', '49+13=62']
Exploring Operation: 62-61=1, Resulting Numbers: [1]
1,65 unequal: No Solution
Exploring Operation: 61+62=123, Resulting Numbers: [123]
123,65 unequal: No Solution
Exploring Operation: 61*62=3782, Resulting Numbers: [3782]
3782,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 65:[49, 74], Operations: ['45-32=13', '61+13=74']
Exploring Operation: 49*74=3626, Resulting Numbers: [3626]
3626,65 unequal: No Solution
Exploring Operation: 74-49=25, Resulting Numbers: [25]
25,65 unequal: No Solution
Exploring Operation: 49+74=123, Resulting Numbers: [123]
123,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 65:[61, 32, 4], Operations: ['49-45=4']
Exploring Operation: 61+4=65, Resulting Numbers: [32, 65]
Generated Node #0,1,0: 65:[32, 65] Operation: 61+4=65
Exploring Operation: 32/4=8, Resulting Numbers: [61, 8]
Generated Node #0,1,1: 65:[61, 8] Operation: 32/4=8
Exploring Operation: 61-32=29, Resulting Numbers: [4, 29]
Generated Node #0,1,2: 65:[4, 29] Operation: 61-32=29
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 65:[61, 8], Operations: ['49-45=4', '32/4=8']
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,65 unequal: No Solution
Exploring Operation: 61+8=69, Resulting Numbers: [69]
69,65 unequal: No Solution
Exploring Operation: 61*8=488, Resulting Numbers: [488]
488,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 65:[4, 29], Operations: ['49-45=4', '61-32=29']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,65 unequal: No Solution
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Exploring Operation: 4*29=116, Resulting Numbers: [116]
116,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 65:[32, 65], Operations: ['49-45=4', '61+4=65']
Exploring Operation: 32*65=2080, Resulting Numbers: [2080]
2080,65 unequal: No Solution
Exploring Operation: 32+65=97, Resulting Numbers: [97]
97,65 unequal: No Solution
Exploring Operation: 65-32=33, Resulting Numbers: [33]
33,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 65:[45, 61, 17], Operations: ['49-32=17']
Exploring Operation: 45+17=62, Resulting Numbers: [61, 62]
Generated Node #0,0,0: 65:[61, 62] Operation: 45+17=62
Exploring Operation: 61-45=16, Resulting Numbers: [17, 16]
Generated Node #0,0,1: 65:[17, 16] Operation: 61-45=16
Exploring Operation: 45-17=28, Resulting Numbers: [61, 28]
Generated Node #0,0,2: 65:[61, 28] Operation: 45-17=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 65:[61, 62], Operations: ['49-32=17', '45+17=62']
Exploring Operation: 61*62=3782, Resulting Numbers: [3782]
3782,65 unequal: No Solution
Exploring Operation: 61+62=123, Resulting Numbers: [123]
123,65 unequal: No Solution
Exploring Operation: 62-61=1, Resulting Numbers: [1]
1,65 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 #0,0,1
Current State: 65:[17, 16], Operations: ['49-32=17', '61-45=16']
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Exploring Operation: 17*16=272, Resulting Numbers: [272]
272,65 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,65 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 #0,0,2
Current State: 65:[61, 28], Operations: ['49-32=17', '45-17=28']
Exploring Operation: 61+28=89, Resulting Numbers: [89]
89,65 unequal: No Solution
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,65 unequal: No Solution
Exploring Operation: 61*28=1708, Resulting Numbers: [1708]
1708,65 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 |
[
52,
4,
69,
21
] | 64 | [
"69-21=48",
"48/4=12",
"52+12=64"
] | Current State: 64:[52, 4, 69, 21], Operations: []
Exploring Operation: 69-21=48, Resulting Numbers: [52, 4, 48]
Generated Node #2: [52, 4, 48] from Operation: 69-21=48
Current State: 64:[52, 4, 48], Operations: ['69-21=48']
Exploring Operation: 48/4=12, Resulting Numbers: [52, 12]
Generated Node #3: [52, 12] from Operation: 48/4=12
Current State: 64:[52, 12], Operations: ['69-21=48', '48/4=12']
Exploring Operation: 52+12=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[52, 4, 69, 21], Operations: []
Exploring Operation: 69-52=17, Resulting Numbers: [4, 21, 17]
Generated Node #0,0: 64:[4, 21, 17] Operation: 69-52=17
Exploring Operation: 52-21=31, Resulting Numbers: [4, 69, 31]
Generated Node #0,1: 64:[4, 69, 31] Operation: 52-21=31
Exploring Operation: 52/4=13, Resulting Numbers: [69, 21, 13]
Generated Node #0,2: 64:[69, 21, 13] Operation: 52/4=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[4, 21, 17], Operations: ['69-52=17']
Exploring Operation: 21-4=17, Resulting Numbers: [17, 17]
Generated Node #0,0,0: 64:[17, 17] Operation: 21-4=17
Exploring Operation: 21+17=38, Resulting Numbers: [4, 38]
Generated Node #0,0,1: 64:[4, 38] Operation: 21+17=38
Exploring Operation: 21-17=4, Resulting Numbers: [4, 4]
Generated Node #0,0,2: 64:[4, 4] Operation: 21-17=4
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 64:[4, 4], Operations: ['69-52=17', '21-17=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,64 unequal: No Solution
No 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: 64:[17, 17], Operations: ['69-52=17', '21-4=17']
Exploring Operation: 17+17=34, Resulting Numbers: [34]
34,64 unequal: No Solution
Exploring Operation: 17/17=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 17-17=0, Resulting Numbers: [0]
0,64 unequal: No Solution
No 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: 64:[4, 38], Operations: ['69-52=17', '21+17=38']
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,64 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,64 unequal: No Solution
Exploring Operation: 4*38=152, Resulting Numbers: [152]
152,64 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: 64:[4, 69, 31], Operations: ['52-21=31']
Exploring Operation: 69-4=65, Resulting Numbers: [31, 65]
Generated Node #0,1,0: 64:[31, 65] Operation: 69-4=65
Exploring Operation: 4+31=35, Resulting Numbers: [69, 35]
Generated Node #0,1,1: 64:[69, 35] Operation: 4+31=35
Exploring Operation: 69-31=38, Resulting Numbers: [4, 38]
Generated Node #0,1,2: 64:[4, 38] Operation: 69-31=38
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 64:[31, 65], Operations: ['52-21=31', '69-4=65']
Exploring Operation: 31+65=96, Resulting Numbers: [96]
96,64 unequal: No Solution
Exploring Operation: 31*65=2015, Resulting Numbers: [2015]
2015,64 unequal: No Solution
Exploring Operation: 65-31=34, Resulting Numbers: [34]
34,64 unequal: No Solution
No 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: 64:[4, 38], Operations: ['52-21=31', '69-31=38']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,64 unequal: No Solution
Exploring Operation: 4*38=152, Resulting Numbers: [152]
152,64 unequal: No Solution
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,64 unequal: No Solution
No 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: 64:[69, 35], Operations: ['52-21=31', '4+31=35']
Exploring Operation: 69+35=104, Resulting Numbers: [104]
104,64 unequal: No Solution
Exploring Operation: 69*35=2415, Resulting Numbers: [2415]
2415,64 unequal: No Solution
Exploring Operation: 69-35=34, Resulting Numbers: [34]
34,64 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: 64:[69, 21, 13], Operations: ['52/4=13']
Exploring Operation: 69-13=56, Resulting Numbers: [21, 56]
Generated Node #0,2,0: 64:[21, 56] Operation: 69-13=56
Exploring Operation: 21+13=34, Resulting Numbers: [69, 34]
Generated Node #0,2,1: 64:[69, 34] Operation: 21+13=34
Exploring Operation: 21-13=8, Resulting Numbers: [69, 8]
Generated Node #0,2,2: 64:[69, 8] Operation: 21-13=8
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 64:[69, 8], Operations: ['52/4=13', '21-13=8']
Exploring Operation: 69-8=61, Resulting Numbers: [61]
61,64 unequal: No Solution
Exploring Operation: 69+8=77, Resulting Numbers: [77]
77,64 unequal: No Solution
Exploring Operation: 69*8=552, Resulting Numbers: [552]
552,64 unequal: No Solution
No 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: 64:[69, 34], Operations: ['52/4=13', '21+13=34']
Exploring Operation: 69*34=2346, Resulting Numbers: [2346]
2346,64 unequal: No Solution
Exploring Operation: 69-34=35, Resulting Numbers: [35]
35,64 unequal: No Solution
Exploring Operation: 69+34=103, Resulting Numbers: [103]
103,64 unequal: No Solution
No 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: 64:[21, 56], Operations: ['52/4=13', '69-13=56']
Exploring Operation: 21*56=1176, Resulting Numbers: [1176]
1176,64 unequal: No Solution
Exploring Operation: 56-21=35, Resulting Numbers: [35]
35,64 unequal: No Solution
Exploring Operation: 21+56=77, Resulting Numbers: [77]
77,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
78,
28,
84,
53
] | 81 | [
"78-28=50",
"84-53=31",
"50+31=81"
] | Current State: 81:[78, 28, 84, 53], Operations: []
Exploring Operation: 78-28=50, Resulting Numbers: [84, 53, 50]
Generated Node #2: [84, 53, 50] from Operation: 78-28=50
Current State: 81:[84, 53, 50], Operations: ['78-28=50']
Exploring Operation: 84-53=31, Resulting Numbers: [50, 31]
Generated Node #3: [50, 31] from Operation: 84-53=31
Current State: 81:[50, 31], Operations: ['78-28=50', '84-53=31']
Exploring Operation: 50+31=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[78, 28, 84, 53], Operations: []
Exploring Operation: 78-53=25, Resulting Numbers: [28, 84, 25]
Generated Node #0,0: 81:[28, 84, 25] Operation: 78-53=25
Exploring Operation: 28+53=81, Resulting Numbers: [78, 84, 81]
Generated Node #0,1: 81:[78, 84, 81] Operation: 28+53=81
Exploring Operation: 53-28=25, Resulting Numbers: [78, 84, 25]
Generated Node #0,2: 81:[78, 84, 25] Operation: 53-28=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[28, 84, 25], Operations: ['78-53=25']
Exploring Operation: 84-25=59, Resulting Numbers: [28, 59]
Generated Node #0,0,0: 81:[28, 59] Operation: 84-25=59
Exploring Operation: 28-25=3, Resulting Numbers: [84, 3]
Generated Node #0,0,1: 81:[84, 3] Operation: 28-25=3
Exploring Operation: 84/28=3, Resulting Numbers: [25, 3]
Generated Node #0,0,2: 81:[25, 3] Operation: 84/28=3
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 81:[25, 3], Operations: ['78-53=25', '84/28=3']
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,81 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,81 unequal: No Solution
Exploring Operation: 25+3=28, Resulting Numbers: [28]
28,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 81:[84, 3], Operations: ['78-53=25', '28-25=3']
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,81 unequal: No Solution
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[78, 28, 84, 53], Operations: []
Exploring Operation: 78-53=25, Resulting Numbers: [28, 84, 25]
Generated Node #0,0: 81:[28, 84, 25] Operation: 78-53=25
Moving to Node #0,0
Current State: 81:[28, 84, 25], Operations: ['78-53=25']
Exploring Operation: 28-25=3, Resulting Numbers: [84, 3]
Generated Node #0,0,1: 81:[84, 3] Operation: 28-25=3
Moving to Node #0,0,1
Current State: 81:[84, 3], Operations: ['78-53=25', '28-25=3']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_3 | sum_heuristic |
[
21,
80,
52,
93
] | 77 | [
"52-21=31",
"93/31=3",
"80-3=77"
] | Current State: 77:[21, 80, 52, 93], Operations: []
Exploring Operation: 52-21=31, Resulting Numbers: [80, 93, 31]
Generated Node #2: [80, 93, 31] from Operation: 52-21=31
Current State: 77:[80, 93, 31], Operations: ['52-21=31']
Exploring Operation: 93/31=3, Resulting Numbers: [80, 3]
Generated Node #3: [80, 3] from Operation: 93/31=3
Current State: 77:[80, 3], Operations: ['52-21=31', '93/31=3']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[21, 80, 52, 93], Operations: []
Exploring Operation: 93-21=72, Resulting Numbers: [80, 52, 72]
Generated Node #0,0: 77:[80, 52, 72] Operation: 93-21=72
Exploring Operation: 21+52=73, Resulting Numbers: [80, 93, 73]
Generated Node #0,1: 77:[80, 93, 73] Operation: 21+52=73
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[80, 93, 73], Operations: ['21+52=73']
Exploring Operation: 93-73=20, Resulting Numbers: [80, 20]
Generated Node #0,1,0: 77:[80, 20] Operation: 93-73=20
Exploring Operation: 93-80=13, Resulting Numbers: [73, 13]
Generated Node #0,1,1: 77:[73, 13] Operation: 93-80=13
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 77:[73, 13], Operations: ['21+52=73', '93-80=13']
Exploring Operation: 73+13=86, Resulting Numbers: [86]
86,77 unequal: No Solution
Exploring Operation: 73-13=60, Resulting Numbers: [60]
60,77 unequal: No Solution
No 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: 77:[80, 20], Operations: ['21+52=73', '93-73=20']
Exploring Operation: 80/20=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 80-20=60, Resulting Numbers: [60]
60,77 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: 77:[80, 52, 72], Operations: ['93-21=72']
Exploring Operation: 72-52=20, Resulting Numbers: [80, 20]
Generated Node #0,0,0: 77:[80, 20] Operation: 72-52=20
Exploring Operation: 80-52=28, Resulting Numbers: [72, 28]
Generated Node #0,0,1: 77:[72, 28] Operation: 80-52=28
Moving to Node #0,0,0
Current State: 77:[80, 20], Operations: ['93-21=72', '72-52=20']
Exploring Operation: 80-20=60, Resulting Numbers: [60]
60,77 unequal: No Solution
Exploring Operation: 80/20=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[72, 28], Operations: ['93-21=72', '80-52=28']
Exploring Operation: 72-28=44, Resulting Numbers: [44]
44,77 unequal: No Solution
Exploring Operation: 72+28=100, Resulting Numbers: [100]
100,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
61,
10,
94,
4
] | 92 | [
"61+10=71",
"94-71=23",
"4*23=92"
] | Current State: 92:[61, 10, 94, 4], Operations: []
Exploring Operation: 61+10=71, Resulting Numbers: [94, 4, 71]
Generated Node #2: [94, 4, 71] from Operation: 61+10=71
Current State: 92:[94, 4, 71], Operations: ['61+10=71']
Exploring Operation: 94-71=23, Resulting Numbers: [4, 23]
Generated Node #3: [4, 23] from Operation: 94-71=23
Current State: 92:[4, 23], Operations: ['61+10=71', '94-71=23']
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[61, 10, 94, 4], Operations: []
Exploring Operation: 61-10=51, Resulting Numbers: [94, 4, 51]
Generated Node #0,0: 92:[94, 4, 51] Operation: 61-10=51
Exploring Operation: 94-61=33, Resulting Numbers: [10, 4, 33]
Generated Node #0,1: 92:[10, 4, 33] Operation: 94-61=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[94, 4, 51], Operations: ['61-10=51']
Exploring Operation: 94-51=43, Resulting Numbers: [4, 43]
Generated Node #0,0,0: 92:[4, 43] Operation: 94-51=43
Exploring Operation: 51-4=47, Resulting Numbers: [94, 47]
Generated Node #0,0,1: 92:[94, 47] Operation: 51-4=47
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[4, 43], Operations: ['61-10=51', '94-51=43']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,92 unequal: No Solution
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 92:[94, 47], Operations: ['61-10=51', '51-4=47']
Exploring Operation: 94-47=47, Resulting Numbers: [47]
47,92 unequal: No Solution
Exploring Operation: 94/47=2, Resulting Numbers: [2]
2,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[10, 4, 33], Operations: ['94-61=33']
Exploring Operation: 10+33=43, Resulting Numbers: [4, 43]
Generated Node #0,1,0: 92:[4, 43] Operation: 10+33=43
Exploring Operation: 33-10=23, Resulting Numbers: [4, 23]
Generated Node #0,1,1: 92:[4, 23] Operation: 33-10=23
Moving to Node #0,1,1
Current State: 92:[4, 23], Operations: ['94-61=33', '33-10=23']
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[61, 10, 94, 4], Operations: []
Exploring Operation: 94-61=33, Resulting Numbers: [10, 4, 33]
Generated Node #0,1: 92:[10, 4, 33] Operation: 94-61=33
Moving to Node #0,1
Current State: 92:[10, 4, 33], Operations: ['94-61=33']
Exploring Operation: 33-10=23, Resulting Numbers: [4, 23]
Generated Node #0,1,1: 92:[4, 23] Operation: 33-10=23
Moving to Node #0,1,1
Current State: 92:[4, 23], Operations: ['94-61=33', '33-10=23']
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
84,
10,
6,
14
] | 28 | [
"10-6=4",
"14*4=56",
"84-56=28"
] | Current State: 28:[84, 10, 6, 14], Operations: []
Exploring Operation: 10-6=4, Resulting Numbers: [84, 14, 4]
Generated Node #2: [84, 14, 4] from Operation: 10-6=4
Current State: 28:[84, 14, 4], Operations: ['10-6=4']
Exploring Operation: 14*4=56, Resulting Numbers: [84, 56]
Generated Node #3: [84, 56] from Operation: 14*4=56
Current State: 28:[84, 56], Operations: ['10-6=4', '14*4=56']
Exploring Operation: 84-56=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[84, 10, 6, 14], Operations: []
Exploring Operation: 84-14=70, Resulting Numbers: [10, 6, 70]
Generated Node #0,0: 28:[10, 6, 70] Operation: 84-14=70
Exploring Operation: 84/14=6, Resulting Numbers: [10, 6, 6]
Generated Node #0,1: 28:[10, 6, 6] Operation: 84/14=6
Exploring Operation: 84/6=14, Resulting Numbers: [10, 14, 14]
Generated Node #0,2: 28:[10, 14, 14] Operation: 84/6=14
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[10, 14, 14], Operations: ['84/6=14']
Exploring Operation: 14-10=4, Resulting Numbers: [14, 4]
Generated Node #0,2,0: 28:[14, 4] Operation: 14-10=4
Exploring Operation: 14+14=28, Resulting Numbers: [10, 28]
Generated Node #0,2,1: 28:[10, 28] Operation: 14+14=28
Exploring Operation: 14-10=4, Resulting Numbers: [14, 4]
Generated Node #0,2,2: 28:[14, 4] Operation: 14-10=4
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 28:[14, 4], Operations: ['84/6=14', '14-10=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,28 unequal: No Solution
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,28 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,28 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:[14, 4], Operations: ['84/6=14', '14-10=4']
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,28 unequal: No Solution
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,28 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,28 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:[10, 28], Operations: ['84/6=14', '14+14=28']
Exploring Operation: 10*28=280, Resulting Numbers: [280]
280,28 unequal: No Solution
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,28 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,28 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:[10, 6, 6], Operations: ['84/14=6']
Exploring Operation: 10+6=16, Resulting Numbers: [6, 16]
Generated Node #0,1,0: 28:[6, 16] Operation: 10+6=16
Exploring Operation: 10-6=4, Resulting Numbers: [6, 4]
Generated Node #0,1,1: 28:[6, 4] Operation: 10-6=4
Exploring Operation: 10-6=4, Resulting Numbers: [6, 4]
Generated Node #0,1,2: 28:[6, 4] Operation: 10-6=4
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 28:[6, 4], Operations: ['84/14=6', '10-6=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,28 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 #0,1,2
Current State: 28:[6, 4], Operations: ['84/14=6', '10-6=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,28 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,28 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,28 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 #0,1,0
Current State: 28:[6, 16], Operations: ['84/14=6', '10+6=16']
Exploring Operation: 6+16=22, Resulting Numbers: [22]
22,28 unequal: No Solution
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,28 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,28 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 #0,0
Current State: 28:[10, 6, 70], Operations: ['84-14=70']
Exploring Operation: 70-6=64, Resulting Numbers: [10, 64]
Generated Node #0,0,0: 28:[10, 64] Operation: 70-6=64
Exploring Operation: 70-10=60, Resulting Numbers: [6, 60]
Generated Node #0,0,1: 28:[6, 60] Operation: 70-10=60
Exploring Operation: 70/10=7, Resulting Numbers: [6, 7]
Generated Node #0,0,2: 28:[6, 7] Operation: 70/10=7
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 28:[6, 7], Operations: ['84-14=70', '70/10=7']
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,28 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,28 unequal: No Solution
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,28 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:[6, 60], Operations: ['84-14=70', '70-10=60']
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,28 unequal: No Solution
Exploring Operation: 6+60=66, Resulting Numbers: [66]
66,28 unequal: No Solution
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,28 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 #0,0,0
Current State: 28:[10, 64], Operations: ['84-14=70', '70-6=64']
Exploring Operation: 10+64=74, Resulting Numbers: [74]
74,28 unequal: No Solution
Exploring Operation: 64-10=54, Resulting Numbers: [54]
54,28 unequal: No Solution
Exploring Operation: 10*64=640, Resulting Numbers: [640]
640,28 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
No solution found.
| 0 | hs_3 | mult_heuristic |
[
14,
63,
68,
21
] | 74 | [
"63+21=84",
"84/14=6",
"68+6=74"
] | Current State: 74:[14, 63, 68, 21], Operations: []
Exploring Operation: 63+21=84, Resulting Numbers: [14, 68, 84]
Generated Node #2: [14, 68, 84] from Operation: 63+21=84
Current State: 74:[14, 68, 84], Operations: ['63+21=84']
Exploring Operation: 84/14=6, Resulting Numbers: [68, 6]
Generated Node #3: [68, 6] from Operation: 84/14=6
Current State: 74:[68, 6], Operations: ['63+21=84', '84/14=6']
Exploring Operation: 68+6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[14, 63, 68, 21], Operations: []
Exploring Operation: 21-14=7, Resulting Numbers: [63, 68, 7]
Generated Node #0,0: 74:[63, 68, 7] Operation: 21-14=7
Exploring Operation: 63/21=3, Resulting Numbers: [14, 68, 3]
Generated Node #0,1: 74:[14, 68, 3] Operation: 63/21=3
Exploring Operation: 14+21=35, Resulting Numbers: [63, 68, 35]
Generated Node #0,2: 74:[63, 68, 35] Operation: 14+21=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[14, 68, 3], Operations: ['63/21=3']
Exploring Operation: 14+68=82, Resulting Numbers: [3, 82]
Generated Node #0,1,0: 74:[3, 82] Operation: 14+68=82
Exploring Operation: 14*3=42, Resulting Numbers: [68, 42]
Generated Node #0,1,1: 74:[68, 42] Operation: 14*3=42
Exploring Operation: 14-3=11, Resulting Numbers: [68, 11]
Generated Node #0,1,2: 74:[68, 11] Operation: 14-3=11
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 74:[3, 82], Operations: ['63/21=3', '14+68=82']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,74 unequal: No Solution
Exploring Operation: 3*82=246, Resulting Numbers: [246]
246,74 unequal: No Solution
Exploring Operation: 3+82=85, Resulting Numbers: [85]
85,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 74:[68, 42], Operations: ['63/21=3', '14*3=42']
Exploring Operation: 68-42=26, Resulting Numbers: [26]
26,74 unequal: No Solution
Exploring Operation: 68*42=2856, Resulting Numbers: [2856]
2856,74 unequal: No Solution
Exploring Operation: 68+42=110, Resulting Numbers: [110]
110,74 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:[68, 11], Operations: ['63/21=3', '14-3=11']
Exploring Operation: 68+11=79, Resulting Numbers: [79]
79,74 unequal: No Solution
Exploring Operation: 68-11=57, Resulting Numbers: [57]
57,74 unequal: No Solution
Exploring Operation: 68*11=748, Resulting Numbers: [748]
748,74 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:[63, 68, 35], Operations: ['14+21=35']
Exploring Operation: 68-35=33, Resulting Numbers: [63, 33]
Generated Node #0,2,0: 74:[63, 33] Operation: 68-35=33
Exploring Operation: 63-35=28, Resulting Numbers: [68, 28]
Generated Node #0,2,1: 74:[68, 28] Operation: 63-35=28
Exploring Operation: 68-63=5, Resulting Numbers: [35, 5]
Generated Node #0,2,2: 74:[35, 5] Operation: 68-63=5
Moving to Node #0,2,2
Current State: 74:[35, 5], Operations: ['14+21=35', '68-63=5']
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,74 unequal: No Solution
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,74 unequal: No Solution
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,74 unequal: No Solution
Moving to Node #0,2,0
Current State: 74:[63, 33], Operations: ['14+21=35', '68-35=33']
Exploring Operation: 63-33=30, Resulting Numbers: [30]
30,74 unequal: No Solution
Exploring Operation: 63*33=2079, Resulting Numbers: [2079]
2079,74 unequal: No Solution
Exploring Operation: 63+33=96, Resulting Numbers: [96]
96,74 unequal: No Solution
Moving to Node #0,2,1
Current State: 74:[68, 28], Operations: ['14+21=35', '63-35=28']
Exploring Operation: 68-28=40, Resulting Numbers: [40]
40,74 unequal: No Solution
Exploring Operation: 68*28=1904, Resulting Numbers: [1904]
1904,74 unequal: No Solution
Exploring Operation: 68+28=96, Resulting Numbers: [96]
96,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[63, 68, 7], Operations: ['21-14=7']
Exploring Operation: 68-63=5, Resulting Numbers: [7, 5]
Generated Node #0,0,0: 74:[7, 5] Operation: 68-63=5
Exploring Operation: 63+7=70, Resulting Numbers: [68, 70]
Generated Node #0,0,1: 74:[68, 70] Operation: 63+7=70
Exploring Operation: 68+7=75, Resulting Numbers: [63, 75]
Generated Node #0,0,2: 74:[63, 75] Operation: 68+7=75
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[7, 5], Operations: ['21-14=7', '68-63=5']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,74 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:[68, 70], Operations: ['21-14=7', '63+7=70']
Exploring Operation: 68+70=138, Resulting Numbers: [138]
138,74 unequal: No Solution
Exploring Operation: 68*70=4760, Resulting Numbers: [4760]
4760,74 unequal: No Solution
Exploring Operation: 70-68=2, Resulting Numbers: [2]
2,74 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:[63, 75], Operations: ['21-14=7', '68+7=75']
Exploring Operation: 75-63=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Exploring Operation: 63+75=138, Resulting Numbers: [138]
138,74 unequal: No Solution
Exploring Operation: 63*75=4725, Resulting Numbers: [4725]
4725,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
16,
60,
54,
72
] | 29 | [
"60*54=3240",
"3240/72=45",
"45-16=29"
] | Current State: 29:[16, 60, 54, 72], Operations: []
Exploring Operation: 60*54=3240, Resulting Numbers: [16, 72, 3240]
Generated Node #2: [16, 72, 3240] from Operation: 60*54=3240
Current State: 29:[16, 72, 3240], Operations: ['60*54=3240']
Exploring Operation: 3240/72=45, Resulting Numbers: [16, 45]
Generated Node #3: [16, 45] from Operation: 3240/72=45
Current State: 29:[16, 45], Operations: ['60*54=3240', '3240/72=45']
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[16, 60, 54, 72], Operations: []
Exploring Operation: 54-16=38, Resulting Numbers: [60, 72, 38]
Generated Node #0,0: 29:[60, 72, 38] Operation: 54-16=38
Exploring Operation: 60-16=44, Resulting Numbers: [54, 72, 44]
Generated Node #0,1: 29:[54, 72, 44] Operation: 60-16=44
Exploring Operation: 72-54=18, Resulting Numbers: [16, 60, 18]
Generated Node #0,2: 29:[16, 60, 18] Operation: 72-54=18
Exploring Operation: 60-54=6, Resulting Numbers: [16, 72, 6]
Generated Node #0,3: 29:[16, 72, 6] Operation: 60-54=6
Exploring Operation: 72-60=12, Resulting Numbers: [16, 54, 12]
Generated Node #0,4: 29:[16, 54, 12] Operation: 72-60=12
Moving to Node #0,2
Current State: 29:[16, 60, 18], Operations: ['72-54=18']
Exploring Operation: 18-16=2, Resulting Numbers: [60, 2]
Generated Node #0,2,0: 29:[60, 2] Operation: 18-16=2
Exploring Operation: 16+60=76, Resulting Numbers: [18, 76]
Generated Node #0,2,1: 29:[18, 76] Operation: 16+60=76
Exploring Operation: 60-18=42, Resulting Numbers: [16, 42]
Generated Node #0,2,2: 29:[16, 42] Operation: 60-18=42
Exploring Operation: 16+18=34, Resulting Numbers: [60, 34]
Generated Node #0,2,3: 29:[60, 34] Operation: 16+18=34
Exploring Operation: 60-16=44, Resulting Numbers: [18, 44]
Generated Node #0,2,4: 29:[18, 44] Operation: 60-16=44
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 29:[16, 42], Operations: ['72-54=18', '60-18=42']
Exploring Operation: 16+42=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 16*42=672, Resulting Numbers: [672]
672,29 unequal: No Solution
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 29:[18, 44], Operations: ['72-54=18', '60-16=44']
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 18+44=62, Resulting Numbers: [62]
62,29 unequal: No Solution
Exploring Operation: 18*44=792, Resulting Numbers: [792]
792,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 29:[60, 34], Operations: ['72-54=18', '16+18=34']
Exploring Operation: 60*34=2040, Resulting Numbers: [2040]
2040,29 unequal: No Solution
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 60+34=94, Resulting Numbers: [94]
94,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 29:[60, 2], Operations: ['72-54=18', '18-16=2']
Exploring Operation: 60*2=120, Resulting Numbers: [120]
120,29 unequal: No Solution
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,29 unequal: No Solution
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 29:[18, 76], Operations: ['72-54=18', '16+60=76']
Exploring Operation: 18*76=1368, Resulting Numbers: [1368]
1368,29 unequal: No Solution
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 18+76=94, Resulting Numbers: [94]
94,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 29:[16, 54, 12], Operations: ['72-60=12']
Exploring Operation: 54-16=38, Resulting Numbers: [12, 38]
Generated Node #0,4,0: 29:[12, 38] Operation: 54-16=38
Exploring Operation: 16-12=4, Resulting Numbers: [54, 4]
Generated Node #0,4,1: 29:[54, 4] Operation: 16-12=4
Exploring Operation: 16+12=28, Resulting Numbers: [54, 28]
Generated Node #0,4,2: 29:[54, 28] Operation: 16+12=28
Exploring Operation: 54+12=66, Resulting Numbers: [16, 66]
Generated Node #0,4,3: 29:[16, 66] Operation: 54+12=66
Exploring Operation: 54-12=42, Resulting Numbers: [16, 42]
Generated Node #0,4,4: 29:[16, 42] Operation: 54-12=42
Moving to Node #0,3
Current State: 29:[16, 72, 6], Operations: ['60-54=6']
Exploring Operation: 72-16=56, Resulting Numbers: [6, 56]
Generated Node #0,3,0: 29:[6, 56] Operation: 72-16=56
Exploring Operation: 72/6=12, Resulting Numbers: [16, 12]
Generated Node #0,3,1: 29:[16, 12] Operation: 72/6=12
Exploring Operation: 16-6=10, Resulting Numbers: [72, 10]
Generated Node #0,3,2: 29:[72, 10] Operation: 16-6=10
Exploring Operation: 16+6=22, Resulting Numbers: [72, 22]
Generated Node #0,3,3: 29:[72, 22] Operation: 16+6=22
Exploring Operation: 72-6=66, Resulting Numbers: [16, 66]
Generated Node #0,3,4: 29:[16, 66] Operation: 72-6=66
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 29:[16, 12], Operations: ['60-54=6', '72/6=12']
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,29 unequal: No Solution
Exploring Operation: 16*12=192, Resulting Numbers: [192]
192,29 unequal: No Solution
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,29 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 #0,3,0
Current State: 29:[6, 56], Operations: ['60-54=6', '72-16=56']
Exploring Operation: 6+56=62, Resulting Numbers: [62]
62,29 unequal: No Solution
Exploring Operation: 6*56=336, Resulting Numbers: [336]
336,29 unequal: No Solution
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,29 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 #0,3,3
Current State: 29:[72, 22], Operations: ['60-54=6', '16+6=22']
Exploring Operation: 72-22=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 72+22=94, Resulting Numbers: [94]
94,29 unequal: No Solution
Exploring Operation: 72*22=1584, Resulting Numbers: [1584]
1584,29 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 #0,3,4
Current State: 29:[16, 66], Operations: ['60-54=6', '72-6=66']
Exploring Operation: 66-16=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 16*66=1056, Resulting Numbers: [1056]
1056,29 unequal: No Solution
Exploring Operation: 16+66=82, Resulting Numbers: [82]
82,29 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 #0,3,2
Current State: 29:[72, 10], Operations: ['60-54=6', '16-6=10']
Exploring Operation: 72-10=62, Resulting Numbers: [62]
62,29 unequal: No Solution
Exploring Operation: 72*10=720, Resulting Numbers: [720]
720,29 unequal: No Solution
Exploring Operation: 72+10=82, Resulting Numbers: [82]
82,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 29:[60, 72, 38], Operations: ['54-16=38']
Exploring Operation: 60+38=98, Resulting Numbers: [72, 98]
Generated Node #0,0,0: 29:[72, 98] Operation: 60+38=98
Exploring Operation: 72-38=34, Resulting Numbers: [60, 34]
Generated Node #0,0,1: 29:[60, 34] Operation: 72-38=34
Exploring Operation: 60-38=22, Resulting Numbers: [72, 22]
Generated Node #0,0,2: 29:[72, 22] Operation: 60-38=22
Exploring Operation: 72-60=12, Resulting Numbers: [38, 12]
Generated Node #0,0,3: 29:[38, 12] Operation: 72-60=12
Exploring Operation: 60+72=132, Resulting Numbers: [38, 132]
Generated Node #0,0,4: 29:[38, 132] Operation: 60+72=132
Moving to Node #0,1
Current State: 29:[54, 72, 44], Operations: ['60-16=44']
Exploring Operation: 54+44=98, Resulting Numbers: [72, 98]
Generated Node #0,1,0: 29:[72, 98] Operation: 54+44=98
Exploring Operation: 72-54=18, Resulting Numbers: [44, 18]
Generated Node #0,1,1: 29:[44, 18] Operation: 72-54=18
Exploring Operation: 54+72=126, Resulting Numbers: [44, 126]
Generated Node #0,1,2: 29:[44, 126] Operation: 54+72=126
Exploring Operation: 54-44=10, Resulting Numbers: [72, 10]
Generated Node #0,1,3: 29:[72, 10] Operation: 54-44=10
Exploring Operation: 72-44=28, Resulting Numbers: [54, 28]
Generated Node #0,1,4: 29:[54, 28] Operation: 72-44=28
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 29:[44, 18], Operations: ['60-16=44', '72-54=18']
Exploring Operation: 44+18=62, Resulting Numbers: [62]
62,29 unequal: No Solution
Exploring Operation: 44*18=792, Resulting Numbers: [792]
792,29 unequal: No Solution
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,29 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 #0,1,4
Current State: 29:[54, 28], Operations: ['60-16=44', '72-44=28']
Exploring Operation: 54-28=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 54*28=1512, Resulting Numbers: [1512]
1512,29 unequal: No Solution
Exploring Operation: 54+28=82, Resulting Numbers: [82]
82,29 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 #0,1,3
Current State: 29:[72, 10], Operations: ['60-16=44', '54-44=10']
Exploring Operation: 72*10=720, Resulting Numbers: [720]
720,29 unequal: No Solution
Exploring Operation: 72-10=62, Resulting Numbers: [62]
62,29 unequal: No Solution
Exploring Operation: 72+10=82, Resulting Numbers: [82]
82,29 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 #0,1,0
Current State: 29:[72, 98], Operations: ['60-16=44', '54+44=98']
Exploring Operation: 98-72=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 72*98=7056, Resulting Numbers: [7056]
7056,29 unequal: No Solution
Exploring Operation: 72+98=170, Resulting Numbers: [170]
170,29 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 #0,1,2
Current State: 29:[44, 126], Operations: ['60-16=44', '54+72=126']
Exploring Operation: 44+126=170, Resulting Numbers: [170]
170,29 unequal: No Solution
Exploring Operation: 126-44=82, Resulting Numbers: [82]
82,29 unequal: No Solution
Exploring Operation: 44*126=5544, Resulting Numbers: [5544]
5544,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,0
Current State: 29:[12, 38], Operations: ['72-60=12', '54-16=38']
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 12*38=456, Resulting Numbers: [456]
456,29 unequal: No Solution
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Moving to Node #0,4,4
Current State: 29:[16, 42], Operations: ['72-60=12', '54-12=42']
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 16*42=672, Resulting Numbers: [672]
672,29 unequal: No Solution
Exploring Operation: 16+42=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Moving to Node #0,0,3
Current State: 29:[38, 12], Operations: ['54-16=38', '72-60=12']
Exploring Operation: 38*12=456, Resulting Numbers: [456]
456,29 unequal: No Solution
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 38+12=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Moving to Node #0,4,2
Current State: 29:[54, 28], Operations: ['72-60=12', '16+12=28']
Exploring Operation: 54+28=82, Resulting Numbers: [82]
82,29 unequal: No Solution
Exploring Operation: 54-28=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 54*28=1512, Resulting Numbers: [1512]
1512,29 unequal: No Solution
Moving to Node #0,0,1
Current State: 29:[60, 34], Operations: ['54-16=38', '72-38=34']
Exploring Operation: 60+34=94, Resulting Numbers: [94]
94,29 unequal: No Solution
Exploring Operation: 60*34=2040, Resulting Numbers: [2040]
2040,29 unequal: No Solution
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Moving to Node #0,4,3
Current State: 29:[16, 66], Operations: ['72-60=12', '54+12=66']
Exploring Operation: 66-16=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 16+66=82, Resulting Numbers: [82]
82,29 unequal: No Solution
Exploring Operation: 16*66=1056, Resulting Numbers: [1056]
1056,29 unequal: No Solution
Moving to Node #0,0,2
Current State: 29:[72, 22], Operations: ['54-16=38', '60-38=22']
Exploring Operation: 72*22=1584, Resulting Numbers: [1584]
1584,29 unequal: No Solution
Exploring Operation: 72+22=94, Resulting Numbers: [94]
94,29 unequal: No Solution
Exploring Operation: 72-22=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Moving to Node #0,4,1
Current State: 29:[54, 4], Operations: ['72-60=12', '16-12=4']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,29 unequal: No Solution
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,29 unequal: No Solution
Exploring Operation: 54*4=216, Resulting Numbers: [216]
216,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[72, 98], Operations: ['54-16=38', '60+38=98']
Exploring Operation: 98-72=26, Resulting Numbers: [26]
26,29 unequal: No Solution
Exploring Operation: 72+98=170, Resulting Numbers: [170]
170,29 unequal: No Solution
Exploring Operation: 72*98=7056, Resulting Numbers: [7056]
7056,29 unequal: No Solution
Moving to Node #0,0,4
Current State: 29:[38, 132], Operations: ['54-16=38', '60+72=132']
Exploring Operation: 38*132=5016, Resulting Numbers: [5016]
5016,29 unequal: No Solution
Exploring Operation: 38+132=170, Resulting Numbers: [170]
170,29 unequal: No Solution
Exploring Operation: 132-38=94, Resulting Numbers: [94]
94,29 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
48,
41,
25,
52
] | 62 | [
"48+41=89",
"52-25=27",
"89-27=62"
] | Current State: 62:[48, 41, 25, 52], Operations: []
Exploring Operation: 48+41=89, Resulting Numbers: [25, 52, 89]
Generated Node #2: [25, 52, 89] from Operation: 48+41=89
Current State: 62:[25, 52, 89], Operations: ['48+41=89']
Exploring Operation: 52-25=27, Resulting Numbers: [89, 27]
Generated Node #3: [89, 27] from Operation: 52-25=27
Current State: 62:[89, 27], Operations: ['48+41=89', '52-25=27']
Exploring Operation: 89-27=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[48, 41, 25, 52], Operations: []
Exploring Operation: 52-48=4, Resulting Numbers: [41, 25, 4]
Generated Node #0,0: 62:[41, 25, 4] Operation: 52-48=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[41, 25, 4], Operations: ['52-48=4']
Exploring Operation: 41+25=66, Resulting Numbers: [4, 66]
Generated Node #0,0,0: 62:[4, 66] Operation: 41+25=66
Moving to Node #0,0,0
Current State: 62:[4, 66], Operations: ['52-48=4', '41+25=66']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[48, 41, 25, 52], Operations: []
Exploring Operation: 52-48=4, Resulting Numbers: [41, 25, 4]
Generated Node #0,0: 62:[41, 25, 4] Operation: 52-48=4
Moving to Node #0,0
Current State: 62:[41, 25, 4], Operations: ['52-48=4']
Exploring Operation: 41+25=66, Resulting Numbers: [4, 66]
Generated Node #0,0,0: 62:[4, 66] Operation: 41+25=66
Moving to Node #0,0,0
Current State: 62:[4, 66], Operations: ['52-48=4', '41+25=66']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
62,
50,
88,
25
] | 22 | [
"62+88=150",
"150/50=3",
"25-3=22"
] | Current State: 22:[62, 50, 88, 25], Operations: []
Exploring Operation: 62+88=150, Resulting Numbers: [50, 25, 150]
Generated Node #2: [50, 25, 150] from Operation: 62+88=150
Current State: 22:[50, 25, 150], Operations: ['62+88=150']
Exploring Operation: 150/50=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 150/50=3
Current State: 22:[25, 3], Operations: ['62+88=150', '150/50=3']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[62, 50, 88, 25], Operations: []
Exploring Operation: 88-62=26, Resulting Numbers: [50, 25, 26]
Generated Node #0,0: 22:[50, 25, 26] Operation: 88-62=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[50, 25, 26], Operations: ['88-62=26']
Exploring Operation: 50/25=2, Resulting Numbers: [26, 2]
Generated Node #0,0,0: 22:[26, 2] Operation: 50/25=2
Moving to Node #0,0,0
Current State: 22:[26, 2], Operations: ['88-62=26', '50/25=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,22 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 |
[
29,
32,
3,
49
] | 55 | [
"32-29=3",
"3+49=52",
"3+52=55"
] | Current State: 55:[29, 32, 3, 49], Operations: []
Exploring Operation: 32-29=3, Resulting Numbers: [3, 49, 3]
Generated Node #2: [3, 49, 3] from Operation: 32-29=3
Current State: 55:[3, 49, 3], Operations: ['32-29=3']
Exploring Operation: 3+49=52, Resulting Numbers: [52]
52,55 equal: Goal Reached
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[29, 32, 3, 49], Operations: []
Exploring Operation: 29+32=61, Resulting Numbers: [3, 49, 61]
Generated Node #0,0: 55:[3, 49, 61] Operation: 29+32=61
Exploring Operation: 32-29=3, Resulting Numbers: [3, 49, 3]
Generated Node #0,1: 55:[3, 49, 3] Operation: 32-29=3
Moving to Node #0,1
Current State: 55:[3, 49, 3], Operations: ['32-29=3']
Exploring Operation: 49+3=52, Resulting Numbers: [3, 52]
Generated Node #0,1,0: 55:[3, 52] Operation: 49+3=52
Exploring Operation: 3+49=52, Resulting Numbers: [3, 52]
Generated Node #0,1,1: 55:[3, 52] Operation: 3+49=52
Moving to Node #0,0
Current State: 55:[3, 49, 61], Operations: ['29+32=61']
Exploring Operation: 3+49=52, Resulting Numbers: [61, 52]
Generated Node #0,0,0: 55:[61, 52] Operation: 3+49=52
Exploring Operation: 61-49=12, Resulting Numbers: [3, 12]
Generated Node #0,0,1: 55:[3, 12] Operation: 61-49=12
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 55:[3, 12], Operations: ['29+32=61', '61-49=12']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 55:[61, 52], Operations: ['29+32=61', '3+49=52']
Exploring Operation: 61-52=9, Resulting Numbers: [9]
9,55 unequal: No Solution
Exploring Operation: 61+52=113, Resulting Numbers: [113]
113,55 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: 55:[3, 52], Operations: ['32-29=3', '49+3=52']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,55 unequal: No Solution
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[29, 32, 3, 49], Operations: []
Exploring Operation: 32-29=3, Resulting Numbers: [3, 49, 3]
Generated Node #0,1: 55:[3, 49, 3] Operation: 32-29=3
Moving to Node #0,1
Current State: 55:[3, 49, 3], Operations: ['32-29=3']
Exploring Operation: 49+3=52, Resulting Numbers: [3, 52]
Generated Node #0,1,0: 55:[3, 52] Operation: 49+3=52
Moving to Node #0,1,0
Current State: 55:[3, 52], Operations: ['32-29=3', '49+3=52']
Exploring Operation: 3+52=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 0.986111 | hs_2 | mult_heuristic |
[
96,
26,
38,
5
] | 17 | [
"96*5=480",
"480-38=442",
"442/26=17"
] | Current State: 17:[96, 26, 38, 5], Operations: []
Exploring Operation: 96*5=480, Resulting Numbers: [26, 38, 480]
Generated Node #2: [26, 38, 480] from Operation: 96*5=480
Current State: 17:[26, 38, 480], Operations: ['96*5=480']
Exploring Operation: 480-38=442, Resulting Numbers: [26, 442]
Generated Node #3: [26, 442] from Operation: 480-38=442
Current State: 17:[26, 442], Operations: ['96*5=480', '480-38=442']
Exploring Operation: 442/26=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[96, 26, 38, 5], Operations: []
Exploring Operation: 38-26=12, Resulting Numbers: [96, 5, 12]
Generated Node #0,0: 17:[96, 5, 12] Operation: 38-26=12
Exploring Operation: 96-5=91, Resulting Numbers: [26, 38, 91]
Generated Node #0,1: 17:[26, 38, 91] Operation: 96-5=91
Exploring Operation: 96-38=58, Resulting Numbers: [26, 5, 58]
Generated Node #0,2: 17:[26, 5, 58] Operation: 96-38=58
Exploring Operation: 26-5=21, Resulting Numbers: [96, 38, 21]
Generated Node #0,3: 17:[96, 38, 21] Operation: 26-5=21
Exploring Operation: 96-26=70, Resulting Numbers: [38, 5, 70]
Generated Node #0,4: 17:[38, 5, 70] Operation: 96-26=70
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[26, 5, 58], Operations: ['96-38=58']
Exploring Operation: 26-5=21, Resulting Numbers: [58, 21]
Generated Node #0,2,0: 17:[58, 21] Operation: 26-5=21
Exploring Operation: 58-5=53, Resulting Numbers: [26, 53]
Generated Node #0,2,1: 17:[26, 53] Operation: 58-5=53
Exploring Operation: 26+5=31, Resulting Numbers: [58, 31]
Generated Node #0,2,2: 17:[58, 31] Operation: 26+5=31
Exploring Operation: 5+58=63, Resulting Numbers: [26, 63]
Generated Node #0,2,3: 17:[26, 63] Operation: 5+58=63
Exploring Operation: 58-26=32, Resulting Numbers: [5, 32]
Generated Node #0,2,4: 17:[5, 32] Operation: 58-26=32
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 17:[5, 32], Operations: ['96-38=58', '58-26=32']
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,17 unequal: No Solution
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,17 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 17:[58, 21], Operations: ['96-38=58', '26-5=21']
Exploring Operation: 58*21=1218, Resulting Numbers: [1218]
1218,17 unequal: No Solution
Exploring Operation: 58+21=79, Resulting Numbers: [79]
79,17 unequal: No Solution
Exploring Operation: 58-21=37, Resulting Numbers: [37]
37,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 17:[26, 53], Operations: ['96-38=58', '58-5=53']
Exploring Operation: 53-26=27, Resulting Numbers: [27]
27,17 unequal: No Solution
Exploring Operation: 26+53=79, Resulting Numbers: [79]
79,17 unequal: No Solution
Exploring Operation: 26*53=1378, Resulting Numbers: [1378]
1378,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 17:[58, 31], Operations: ['96-38=58', '26+5=31']
Exploring Operation: 58-31=27, Resulting Numbers: [27]
27,17 unequal: No Solution
Exploring Operation: 58+31=89, Resulting Numbers: [89]
89,17 unequal: No Solution
Exploring Operation: 58*31=1798, Resulting Numbers: [1798]
1798,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 17:[26, 63], Operations: ['96-38=58', '5+58=63']
Exploring Operation: 26*63=1638, Resulting Numbers: [1638]
1638,17 unequal: No Solution
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,17 unequal: No Solution
Exploring Operation: 26+63=89, Resulting Numbers: [89]
89,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 17:[38, 5, 70], Operations: ['96-26=70']
Exploring Operation: 38+5=43, Resulting Numbers: [70, 43]
Generated Node #0,4,0: 17:[70, 43] Operation: 38+5=43
Exploring Operation: 70-5=65, Resulting Numbers: [38, 65]
Generated Node #0,4,1: 17:[38, 65] Operation: 70-5=65
Exploring Operation: 70-38=32, Resulting Numbers: [5, 32]
Generated Node #0,4,2: 17:[5, 32] Operation: 70-38=32
Exploring Operation: 38-5=33, Resulting Numbers: [70, 33]
Generated Node #0,4,3: 17:[70, 33] Operation: 38-5=33
Exploring Operation: 70/5=14, Resulting Numbers: [38, 14]
Generated Node #0,4,4: 17:[38, 14] Operation: 70/5=14
Moving to Node #0,4,4
Current State: 17:[38, 14], Operations: ['96-26=70', '70/5=14']
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,17 unequal: No Solution
Exploring Operation: 38*14=532, Resulting Numbers: [532]
532,17 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,17 unequal: No Solution
Moving to Node #0,4,2
Current State: 17:[5, 32], Operations: ['96-26=70', '70-38=32']
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,17 unequal: No Solution
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,17 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,17 unequal: No Solution
Moving to Node #0,4,1
Current State: 17:[38, 65], Operations: ['96-26=70', '70-5=65']
Exploring Operation: 65-38=27, Resulting Numbers: [27]
27,17 unequal: No Solution
Exploring Operation: 38+65=103, Resulting Numbers: [103]
103,17 unequal: No Solution
Exploring Operation: 38*65=2470, Resulting Numbers: [2470]
2470,17 unequal: No Solution
Moving to Node #0,4,3
Current State: 17:[70, 33], Operations: ['96-26=70', '38-5=33']
Exploring Operation: 70-33=37, Resulting Numbers: [37]
37,17 unequal: No Solution
Exploring Operation: 70*33=2310, Resulting Numbers: [2310]
2310,17 unequal: No Solution
Exploring Operation: 70+33=103, Resulting Numbers: [103]
103,17 unequal: No Solution
Moving to Node #0,4,0
Current State: 17:[70, 43], Operations: ['96-26=70', '38+5=43']
Exploring Operation: 70+43=113, Resulting Numbers: [113]
113,17 unequal: No Solution
Exploring Operation: 70*43=3010, Resulting Numbers: [3010]
3010,17 unequal: No Solution
Exploring Operation: 70-43=27, Resulting Numbers: [27]
27,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[96, 5, 12], Operations: ['38-26=12']
Exploring Operation: 96-5=91, Resulting Numbers: [12, 91]
Generated Node #0,0,0: 17:[12, 91] Operation: 96-5=91
Exploring Operation: 5+12=17, Resulting Numbers: [96, 17]
Generated Node #0,0,1: 17:[96, 17] Operation: 5+12=17
Exploring Operation: 96-12=84, Resulting Numbers: [5, 84]
Generated Node #0,0,2: 17:[5, 84] Operation: 96-12=84
Exploring Operation: 96+5=101, Resulting Numbers: [12, 101]
Generated Node #0,0,3: 17:[12, 101] Operation: 96+5=101
Exploring Operation: 96/12=8, Resulting Numbers: [5, 8]
Generated Node #0,0,4: 17:[5, 8] Operation: 96/12=8
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 17:[5, 8], Operations: ['38-26=12', '96/12=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,17 unequal: No Solution
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,17 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 17:[12, 91], Operations: ['38-26=12', '96-5=91']
Exploring Operation: 12+91=103, Resulting Numbers: [103]
103,17 unequal: No Solution
Exploring Operation: 91-12=79, Resulting Numbers: [79]
79,17 unequal: No Solution
Exploring Operation: 12*91=1092, Resulting Numbers: [1092]
1092,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 17:[96, 17], Operations: ['38-26=12', '5+12=17']
Exploring Operation: 96*17=1632, Resulting Numbers: [1632]
1632,17 unequal: No Solution
Exploring Operation: 96+17=113, Resulting Numbers: [113]
113,17 unequal: No Solution
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 17:[5, 84], Operations: ['38-26=12', '96-12=84']
Exploring Operation: 5*84=420, Resulting Numbers: [420]
420,17 unequal: No Solution
Exploring Operation: 5+84=89, Resulting Numbers: [89]
89,17 unequal: No Solution
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 17:[12, 101], Operations: ['38-26=12', '96+5=101']
Exploring Operation: 12*101=1212, Resulting Numbers: [1212]
1212,17 unequal: No Solution
Exploring Operation: 12+101=113, Resulting Numbers: [113]
113,17 unequal: No Solution
Exploring Operation: 101-12=89, Resulting Numbers: [89]
89,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[26, 38, 91], Operations: ['96-5=91']
Exploring Operation: 38-26=12, Resulting Numbers: [91, 12]
Generated Node #0,1,0: 17:[91, 12] Operation: 38-26=12
Exploring Operation: 91-26=65, Resulting Numbers: [38, 65]
Generated Node #0,1,1: 17:[38, 65] Operation: 91-26=65
Exploring Operation: 91-38=53, Resulting Numbers: [26, 53]
Generated Node #0,1,2: 17:[26, 53] Operation: 91-38=53
Exploring Operation: 26+91=117, Resulting Numbers: [38, 117]
Generated Node #0,1,3: 17:[38, 117] Operation: 26+91=117
Exploring Operation: 26+38=64, Resulting Numbers: [91, 64]
Generated Node #0,1,4: 17:[91, 64] Operation: 26+38=64
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 17:[26, 53], Operations: ['96-5=91', '91-38=53']
Exploring Operation: 53-26=27, Resulting Numbers: [27]
27,17 unequal: No Solution
Exploring Operation: 26*53=1378, Resulting Numbers: [1378]
1378,17 unequal: No Solution
Exploring Operation: 26+53=79, Resulting Numbers: [79]
79,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 17:[38, 65], Operations: ['96-5=91', '91-26=65']
Exploring Operation: 38+65=103, Resulting Numbers: [103]
103,17 unequal: No Solution
Exploring Operation: 38*65=2470, Resulting Numbers: [2470]
2470,17 unequal: No Solution
Exploring Operation: 65-38=27, Resulting Numbers: [27]
27,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 17:[91, 12], Operations: ['96-5=91', '38-26=12']
Exploring Operation: 91+12=103, Resulting Numbers: [103]
103,17 unequal: No Solution
Exploring Operation: 91*12=1092, Resulting Numbers: [1092]
1092,17 unequal: No Solution
Exploring Operation: 91-12=79, Resulting Numbers: [79]
79,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 17:[38, 117], Operations: ['96-5=91', '26+91=117']
Exploring Operation: 117-38=79, Resulting Numbers: [79]
79,17 unequal: No Solution
Exploring Operation: 38*117=4446, Resulting Numbers: [4446]
4446,17 unequal: No Solution
Exploring Operation: 38+117=155, Resulting Numbers: [155]
155,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 17:[91, 64], Operations: ['96-5=91', '26+38=64']
Exploring Operation: 91*64=5824, Resulting Numbers: [5824]
5824,17 unequal: No Solution
Exploring Operation: 91-64=27, Resulting Numbers: [27]
27,17 unequal: No Solution
Exploring Operation: 91+64=155, Resulting Numbers: [155]
155,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 17:[96, 38, 21], Operations: ['26-5=21']
Exploring Operation: 96-21=75, Resulting Numbers: [38, 75]
Generated Node #0,3,0: 17:[38, 75] Operation: 96-21=75
Exploring Operation: 96+21=117, Resulting Numbers: [38, 117]
Generated Node #0,3,1: 17:[38, 117] Operation: 96+21=117
Exploring Operation: 38-21=17, Resulting Numbers: [96, 17]
Generated Node #0,3,2: 17:[96, 17] Operation: 38-21=17
Exploring Operation: 96-38=58, Resulting Numbers: [21, 58]
Generated Node #0,3,3: 17:[21, 58] Operation: 96-38=58
Exploring Operation: 96+38=134, Resulting Numbers: [21, 134]
Generated Node #0,3,4: 17:[21, 134] Operation: 96+38=134
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 17:[21, 58], Operations: ['26-5=21', '96-38=58']
Exploring Operation: 58-21=37, Resulting Numbers: [37]
37,17 unequal: No Solution
Exploring Operation: 21+58=79, Resulting Numbers: [79]
79,17 unequal: No Solution
Exploring Operation: 21*58=1218, Resulting Numbers: [1218]
1218,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 17:[38, 75], Operations: ['26-5=21', '96-21=75']
Exploring Operation: 75-38=37, Resulting Numbers: [37]
37,17 unequal: No Solution
Exploring Operation: 38*75=2850, Resulting Numbers: [2850]
2850,17 unequal: No Solution
Exploring Operation: 38+75=113, Resulting Numbers: [113]
113,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 17:[96, 17], Operations: ['26-5=21', '38-21=17']
Exploring Operation: 96+17=113, Resulting Numbers: [113]
113,17 unequal: No Solution
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,17 unequal: No Solution
Exploring Operation: 96*17=1632, Resulting Numbers: [1632]
1632,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 17:[38, 117], Operations: ['26-5=21', '96+21=117']
Exploring Operation: 38*117=4446, Resulting Numbers: [4446]
4446,17 unequal: No Solution
Exploring Operation: 117-38=79, Resulting Numbers: [79]
79,17 unequal: No Solution
Exploring Operation: 38+117=155, Resulting Numbers: [155]
155,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 17:[21, 134], Operations: ['26-5=21', '96+38=134']
Exploring Operation: 21+134=155, Resulting Numbers: [155]
155,17 unequal: No Solution
Exploring Operation: 21*134=2814, Resulting Numbers: [2814]
2814,17 unequal: No Solution
Exploring Operation: 134-21=113, Resulting Numbers: [113]
113,17 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
26,
80,
9,
78
] | 83 | [
"26*9=234",
"234/78=3",
"80+3=83"
] | Current State: 83:[26, 80, 9, 78], Operations: []
Exploring Operation: 26*9=234, Resulting Numbers: [80, 78, 234]
Generated Node #2: [80, 78, 234] from Operation: 26*9=234
Current State: 83:[80, 78, 234], Operations: ['26*9=234']
Exploring Operation: 234/78=3, Resulting Numbers: [80, 3]
Generated Node #3: [80, 3] from Operation: 234/78=3
Current State: 83:[80, 3], Operations: ['26*9=234', '234/78=3']
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[26, 80, 9, 78], Operations: []
Exploring Operation: 26+9=35, Resulting Numbers: [80, 78, 35]
Generated Node #0,0: 83:[80, 78, 35] Operation: 26+9=35
Moving to Node #0,0
Current State: 83:[80, 78, 35], Operations: ['26+9=35']
Exploring Operation: 78+35=113, Resulting Numbers: [80, 113]
Generated Node #0,0,0: 83:[80, 113] Operation: 78+35=113
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[80, 113], Operations: ['26+9=35', '78+35=113']
Exploring Operation: 113-80=33, Resulting Numbers: [33]
33,83 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 |
[
13,
16,
12,
92
] | 82 | [
"12*92=1104",
"1104/16=69",
"13+69=82"
] | Current State: 82:[13, 16, 12, 92], Operations: []
Exploring Operation: 12*92=1104, Resulting Numbers: [13, 16, 1104]
Generated Node #2: [13, 16, 1104] from Operation: 12*92=1104
Current State: 82:[13, 16, 1104], Operations: ['12*92=1104']
Exploring Operation: 1104/16=69, Resulting Numbers: [13, 69]
Generated Node #3: [13, 69] from Operation: 1104/16=69
Current State: 82:[13, 69], Operations: ['12*92=1104', '1104/16=69']
Exploring Operation: 13+69=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[13, 16, 12, 92], Operations: []
Exploring Operation: 16-12=4, Resulting Numbers: [13, 92, 4]
Generated Node #0,0: 82:[13, 92, 4] Operation: 16-12=4
Exploring Operation: 92-13=79, Resulting Numbers: [16, 12, 79]
Generated Node #0,1: 82:[16, 12, 79] Operation: 92-13=79
Exploring Operation: 13-12=1, Resulting Numbers: [16, 92, 1]
Generated Node #0,2: 82:[16, 92, 1] Operation: 13-12=1
Exploring Operation: 16-13=3, Resulting Numbers: [12, 92, 3]
Generated Node #0,3: 82:[12, 92, 3] Operation: 16-13=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 82:[12, 92, 3], Operations: ['16-13=3']
Exploring Operation: 12/3=4, Resulting Numbers: [92, 4]
Generated Node #0,3,0: 82:[92, 4] Operation: 12/3=4
Exploring Operation: 12-3=9, Resulting Numbers: [92, 9]
Generated Node #0,3,1: 82:[92, 9] Operation: 12-3=9
Exploring Operation: 12*3=36, Resulting Numbers: [92, 36]
Generated Node #0,3,2: 82:[92, 36] Operation: 12*3=36
Exploring Operation: 92-12=80, Resulting Numbers: [3, 80]
Generated Node #0,3,3: 82:[3, 80] Operation: 92-12=80
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 82:[3, 80], Operations: ['16-13=3', '92-12=80']
Exploring Operation: 3+80=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Exploring Operation: 3*80=240, Resulting Numbers: [240]
240,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 82:[92, 4], Operations: ['16-13=3', '12/3=4']
Exploring Operation: 92-4=88, Resulting Numbers: [88]
88,82 unequal: No Solution
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,82 unequal: No Solution
Exploring Operation: 92+4=96, Resulting Numbers: [96]
96,82 unequal: No Solution
Exploring Operation: 92*4=368, Resulting Numbers: [368]
368,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 82:[92, 36], Operations: ['16-13=3', '12*3=36']
Exploring Operation: 92+36=128, Resulting Numbers: [128]
128,82 unequal: No Solution
Exploring Operation: 92-36=56, Resulting Numbers: [56]
56,82 unequal: No Solution
Exploring Operation: 92*36=3312, Resulting Numbers: [3312]
3312,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 82:[92, 9], Operations: ['16-13=3', '12-3=9']
Exploring Operation: 92-9=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Exploring Operation: 92+9=101, Resulting Numbers: [101]
101,82 unequal: No Solution
Exploring Operation: 92*9=828, Resulting Numbers: [828]
828,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[13, 92, 4], Operations: ['16-12=4']
Exploring Operation: 92-13=79, Resulting Numbers: [4, 79]
Generated Node #0,0,0: 82:[4, 79] Operation: 92-13=79
Exploring Operation: 92-4=88, Resulting Numbers: [13, 88]
Generated Node #0,0,1: 82:[13, 88] Operation: 92-4=88
Exploring Operation: 13*4=52, Resulting Numbers: [92, 52]
Generated Node #0,0,2: 82:[92, 52] Operation: 13*4=52
Exploring Operation: 13-4=9, Resulting Numbers: [92, 9]
Generated Node #0,0,3: 82:[92, 9] Operation: 13-4=9
Moving to Node #0,0,0
Current State: 82:[4, 79], Operations: ['16-12=4', '92-13=79']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,82 unequal: No Solution
Exploring Operation: 4+79=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Exploring Operation: 4*79=316, Resulting Numbers: [316]
316,82 unequal: No Solution
Moving to Node #0,0,3
Current State: 82:[92, 9], Operations: ['16-12=4', '13-4=9']
Exploring Operation: 92-9=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Exploring Operation: 92+9=101, Resulting Numbers: [101]
101,82 unequal: No Solution
Exploring Operation: 92*9=828, Resulting Numbers: [828]
828,82 unequal: No Solution
Moving to Node #0,0,1
Current State: 82:[13, 88], Operations: ['16-12=4', '92-4=88']
Exploring Operation: 13*88=1144, Resulting Numbers: [1144]
1144,82 unequal: No Solution
Exploring Operation: 13+88=101, Resulting Numbers: [101]
101,82 unequal: No Solution
Exploring Operation: 88-13=75, Resulting Numbers: [75]
75,82 unequal: No Solution
Moving to Node #0,0,2
Current State: 82:[92, 52], Operations: ['16-12=4', '13*4=52']
Exploring Operation: 92-52=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 92+52=144, Resulting Numbers: [144]
144,82 unequal: No Solution
Exploring Operation: 92*52=4784, Resulting Numbers: [4784]
4784,82 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 #0,2
Current State: 82:[16, 92, 1], Operations: ['13-12=1']
Exploring Operation: 92-16=76, Resulting Numbers: [1, 76]
Generated Node #0,2,0: 82:[1, 76] Operation: 92-16=76
Exploring Operation: 16-1=15, Resulting Numbers: [92, 15]
Generated Node #0,2,1: 82:[92, 15] Operation: 16-1=15
Exploring Operation: 92-1=91, Resulting Numbers: [16, 91]
Generated Node #0,2,2: 82:[16, 91] Operation: 92-1=91
Exploring Operation: 16*1=16, Resulting Numbers: [92, 16]
Generated Node #0,2,3: 82:[92, 16] Operation: 16*1=16
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 82:[1, 76], Operations: ['13-12=1', '92-16=76']
Exploring Operation: 1*76=76, Resulting Numbers: [76]
76,82 unequal: No Solution
Exploring Operation: 1+76=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Exploring Operation: 76/1=76, Resulting Numbers: [76]
76,82 unequal: No Solution
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 82:[92, 15], Operations: ['13-12=1', '16-1=15']
Exploring Operation: 92+15=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 92-15=77, Resulting Numbers: [77]
77,82 unequal: No Solution
Exploring Operation: 92*15=1380, Resulting Numbers: [1380]
1380,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 82:[16, 91], Operations: ['13-12=1', '92-1=91']
Exploring Operation: 16*91=1456, Resulting Numbers: [1456]
1456,82 unequal: No Solution
Exploring Operation: 16+91=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 82:[92, 16], Operations: ['13-12=1', '16*1=16']
Exploring Operation: 92+16=108, Resulting Numbers: [108]
108,82 unequal: No Solution
Exploring Operation: 92*16=1472, Resulting Numbers: [1472]
1472,82 unequal: No Solution
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[16, 12, 79], Operations: ['92-13=79']
Exploring Operation: 16+12=28, Resulting Numbers: [79, 28]
Generated Node #0,1,0: 82:[79, 28] Operation: 16+12=28
Exploring Operation: 16-12=4, Resulting Numbers: [79, 4]
Generated Node #0,1,1: 82:[79, 4] Operation: 16-12=4
Exploring Operation: 12+79=91, Resulting Numbers: [16, 91]
Generated Node #0,1,2: 82:[16, 91] Operation: 12+79=91
Exploring Operation: 16+79=95, Resulting Numbers: [12, 95]
Generated Node #0,1,3: 82:[12, 95] Operation: 16+79=95
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 82:[79, 4], Operations: ['92-13=79', '16-12=4']
Exploring Operation: 79+4=83, Resulting Numbers: [83]
83,82 unequal: No Solution
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,82 unequal: No Solution
Exploring Operation: 79*4=316, Resulting Numbers: [316]
316,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 82:[79, 28], Operations: ['92-13=79', '16+12=28']
Exploring Operation: 79*28=2212, Resulting Numbers: [2212]
2212,82 unequal: No Solution
Exploring Operation: 79-28=51, Resulting Numbers: [51]
51,82 unequal: No Solution
Exploring Operation: 79+28=107, Resulting Numbers: [107]
107,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 82:[16, 91], Operations: ['92-13=79', '12+79=91']
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,82 unequal: No Solution
Exploring Operation: 16*91=1456, Resulting Numbers: [1456]
1456,82 unequal: No Solution
Exploring Operation: 16+91=107, Resulting Numbers: [107]
107,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 82:[12, 95], Operations: ['92-13=79', '16+79=95']
Exploring Operation: 12+95=107, Resulting Numbers: [107]
107,82 unequal: No Solution
Exploring Operation: 12*95=1140, Resulting Numbers: [1140]
1140,82 unequal: No Solution
Exploring Operation: 95-12=83, Resulting Numbers: [83]
83,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
62,
2,
94,
48
] | 66 | [
"62-48=14",
"2*14=28",
"94-28=66"
] | Current State: 66:[62, 2, 94, 48], Operations: []
Exploring Operation: 62-48=14, Resulting Numbers: [2, 94, 14]
Generated Node #2: [2, 94, 14] from Operation: 62-48=14
Current State: 66:[2, 94, 14], Operations: ['62-48=14']
Exploring Operation: 2*14=28, Resulting Numbers: [94, 28]
Generated Node #3: [94, 28] from Operation: 2*14=28
Current State: 66:[94, 28], Operations: ['62-48=14', '2*14=28']
Exploring Operation: 94-28=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[62, 2, 94, 48], Operations: []
Exploring Operation: 94-62=32, Resulting Numbers: [2, 48, 32]
Generated Node #0,0: 66:[2, 48, 32] Operation: 94-62=32
Exploring Operation: 94-48=46, Resulting Numbers: [62, 2, 46]
Generated Node #0,1: 66:[62, 2, 46] Operation: 94-48=46
Exploring Operation: 48/2=24, Resulting Numbers: [62, 94, 24]
Generated Node #0,2: 66:[62, 94, 24] Operation: 48/2=24
Exploring Operation: 62-48=14, Resulting Numbers: [2, 94, 14]
Generated Node #0,3: 66:[2, 94, 14] Operation: 62-48=14
Exploring Operation: 94/2=47, Resulting Numbers: [62, 48, 47]
Generated Node #0,4: 66:[62, 48, 47] Operation: 94/2=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[2, 48, 32], Operations: ['94-62=32']
Exploring Operation: 48-2=46, Resulting Numbers: [32, 46]
Generated Node #0,0,0: 66:[32, 46] Operation: 48-2=46
Exploring Operation: 48/2=24, Resulting Numbers: [32, 24]
Generated Node #0,0,1: 66:[32, 24] Operation: 48/2=24
Exploring Operation: 48-32=16, Resulting Numbers: [2, 16]
Generated Node #0,0,2: 66:[2, 16] Operation: 48-32=16
Exploring Operation: 48+32=80, Resulting Numbers: [2, 80]
Generated Node #0,0,3: 66:[2, 80] Operation: 48+32=80
Exploring Operation: 2+32=34, Resulting Numbers: [48, 34]
Generated Node #0,0,4: 66:[48, 34] Operation: 2+32=34
Moving to Node #0,0,1
Current State: 66:[32, 24], Operations: ['94-62=32', '48/2=24']
Exploring Operation: 32*24=768, Resulting Numbers: [768]
768,66 unequal: No Solution
Exploring Operation: 32+24=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Moving to Node #0,0,2
Current State: 66:[2, 16], Operations: ['94-62=32', '48-32=16']
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,66 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,66 unequal: No Solution
Moving to Node #0,0,0
Current State: 66:[32, 46], Operations: ['94-62=32', '48-2=46']
Exploring Operation: 32*46=1472, Resulting Numbers: [1472]
1472,66 unequal: No Solution
Exploring Operation: 46-32=14, Resulting Numbers: [14]
14,66 unequal: No Solution
Exploring Operation: 32+46=78, Resulting Numbers: [78]
78,66 unequal: No Solution
Moving to Node #0,0,3
Current State: 66:[2, 80], Operations: ['94-62=32', '48+32=80']
Exploring Operation: 2*80=160, Resulting Numbers: [160]
160,66 unequal: No Solution
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,66 unequal: No Solution
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,66 unequal: No Solution
Exploring Operation: 2+80=82, Resulting Numbers: [82]
82,66 unequal: No Solution
Moving to Node #0,0,4
Current State: 66:[48, 34], Operations: ['94-62=32', '2+32=34']
Exploring Operation: 48-34=14, Resulting Numbers: [14]
14,66 unequal: No Solution
Exploring Operation: 48*34=1632, Resulting Numbers: [1632]
1632,66 unequal: No Solution
Exploring Operation: 48+34=82, Resulting Numbers: [82]
82,66 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
Current State: 66:[62, 2, 46], Operations: ['94-48=46']
Exploring Operation: 46/2=23, Resulting Numbers: [62, 23]
Generated Node #0,1,0: 66:[62, 23] Operation: 46/2=23
Exploring Operation: 62-46=16, Resulting Numbers: [2, 16]
Generated Node #0,1,1: 66:[2, 16] Operation: 62-46=16
Exploring Operation: 46-2=44, Resulting Numbers: [62, 44]
Generated Node #0,1,2: 66:[62, 44] Operation: 46-2=44
Exploring Operation: 62+2=64, Resulting Numbers: [46, 64]
Generated Node #0,1,3: 66:[46, 64] Operation: 62+2=64
Exploring Operation: 62/2=31, Resulting Numbers: [46, 31]
Generated Node #0,1,4: 66:[46, 31] Operation: 62/2=31
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 66:[62, 23], Operations: ['94-48=46', '46/2=23']
Exploring Operation: 62+23=85, Resulting Numbers: [85]
85,66 unequal: No Solution
Exploring Operation: 62*23=1426, Resulting Numbers: [1426]
1426,66 unequal: No Solution
Exploring Operation: 62-23=39, Resulting Numbers: [39]
39,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 66:[2, 16], Operations: ['94-48=46', '62-46=16']
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,66 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 66:[62, 44], Operations: ['94-48=46', '46-2=44']
Exploring Operation: 62-44=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Exploring Operation: 62+44=106, Resulting Numbers: [106]
106,66 unequal: No Solution
Exploring Operation: 62*44=2728, Resulting Numbers: [2728]
2728,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 66:[46, 64], Operations: ['94-48=46', '62+2=64']
Exploring Operation: 46*64=2944, Resulting Numbers: [2944]
2944,66 unequal: No Solution
Exploring Operation: 64-46=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Exploring Operation: 46+64=110, Resulting Numbers: [110]
110,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 66:[46, 31], Operations: ['94-48=46', '62/2=31']
Exploring Operation: 46-31=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 46+31=77, Resulting Numbers: [77]
77,66 unequal: No Solution
Exploring Operation: 46*31=1426, Resulting Numbers: [1426]
1426,66 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: 66:[2, 94, 14], Operations: ['62-48=14']
Exploring Operation: 14/2=7, Resulting Numbers: [94, 7]
Generated Node #0,3,0: 66:[94, 7] Operation: 14/2=7
Exploring Operation: 94-14=80, Resulting Numbers: [2, 80]
Generated Node #0,3,1: 66:[2, 80] Operation: 94-14=80
Exploring Operation: 14-2=12, Resulting Numbers: [94, 12]
Generated Node #0,3,2: 66:[94, 12] Operation: 14-2=12
Exploring Operation: 94/2=47, Resulting Numbers: [14, 47]
Generated Node #0,3,3: 66:[14, 47] Operation: 94/2=47
Exploring Operation: 94-2=92, Resulting Numbers: [14, 92]
Generated Node #0,3,4: 66:[14, 92] Operation: 94-2=92
Moving to Node #0,3,1
Current State: 66:[2, 80], Operations: ['62-48=14', '94-14=80']
Exploring Operation: 2+80=82, Resulting Numbers: [82]
82,66 unequal: No Solution
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,66 unequal: No Solution
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,66 unequal: No Solution
Exploring Operation: 2*80=160, Resulting Numbers: [160]
160,66 unequal: No Solution
Moving to Node #0,3,3
Current State: 66:[14, 47], Operations: ['62-48=14', '94/2=47']
Exploring Operation: 14*47=658, Resulting Numbers: [658]
658,66 unequal: No Solution
Exploring Operation: 14+47=61, Resulting Numbers: [61]
61,66 unequal: No Solution
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,66 unequal: No Solution
Moving to Node #0,3,0
Current State: 66:[94, 7], Operations: ['62-48=14', '14/2=7']
Exploring Operation: 94+7=101, Resulting Numbers: [101]
101,66 unequal: No Solution
Exploring Operation: 94*7=658, Resulting Numbers: [658]
658,66 unequal: No Solution
Exploring Operation: 94-7=87, Resulting Numbers: [87]
87,66 unequal: No Solution
Moving to Node #0,3,2
Current State: 66:[94, 12], Operations: ['62-48=14', '14-2=12']
Exploring Operation: 94*12=1128, Resulting Numbers: [1128]
1128,66 unequal: No Solution
Exploring Operation: 94-12=82, Resulting Numbers: [82]
82,66 unequal: No Solution
Exploring Operation: 94+12=106, Resulting Numbers: [106]
106,66 unequal: No Solution
Moving to Node #0,3,4
Current State: 66:[14, 92], Operations: ['62-48=14', '94-2=92']
Exploring Operation: 14*92=1288, Resulting Numbers: [1288]
1288,66 unequal: No Solution
Exploring Operation: 92-14=78, Resulting Numbers: [78]
78,66 unequal: No Solution
Exploring Operation: 14+92=106, Resulting Numbers: [106]
106,66 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 #0,4
Current State: 66:[62, 48, 47], Operations: ['94/2=47']
Exploring Operation: 62+48=110, Resulting Numbers: [47, 110]
Generated Node #0,4,0: 66:[47, 110] Operation: 62+48=110
Exploring Operation: 62-47=15, Resulting Numbers: [48, 15]
Generated Node #0,4,1: 66:[48, 15] Operation: 62-47=15
Exploring Operation: 62-48=14, Resulting Numbers: [47, 14]
Generated Node #0,4,2: 66:[47, 14] Operation: 62-48=14
Exploring Operation: 48+47=95, Resulting Numbers: [62, 95]
Generated Node #0,4,3: 66:[62, 95] Operation: 48+47=95
Exploring Operation: 48-47=1, Resulting Numbers: [62, 1]
Generated Node #0,4,4: 66:[62, 1] Operation: 48-47=1
Moving to Node #0,4,4
Current State: 66:[62, 1], Operations: ['94/2=47', '48-47=1']
Exploring Operation: 62/1=62, Resulting Numbers: [62]
62,66 unequal: No Solution
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,66 unequal: No Solution
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,66 unequal: No Solution
Exploring Operation: 62+1=63, Resulting Numbers: [63]
63,66 unequal: No Solution
Moving to Node #0,4,2
Current State: 66:[47, 14], Operations: ['94/2=47', '62-48=14']
Exploring Operation: 47+14=61, Resulting Numbers: [61]
61,66 unequal: No Solution
Exploring Operation: 47*14=658, Resulting Numbers: [658]
658,66 unequal: No Solution
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,66 unequal: No Solution
Moving to Node #0,4,1
Current State: 66:[48, 15], Operations: ['94/2=47', '62-47=15']
Exploring Operation: 48+15=63, Resulting Numbers: [63]
63,66 unequal: No Solution
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,66 unequal: No Solution
Exploring Operation: 48*15=720, Resulting Numbers: [720]
720,66 unequal: No Solution
Moving to Node #0,4,3
Current State: 66:[62, 95], Operations: ['94/2=47', '48+47=95']
Exploring Operation: 62*95=5890, Resulting Numbers: [5890]
5890,66 unequal: No Solution
Exploring Operation: 62+95=157, Resulting Numbers: [157]
157,66 unequal: No Solution
Exploring Operation: 95-62=33, Resulting Numbers: [33]
33,66 unequal: No Solution
Moving to Node #0,4,0
Current State: 66:[47, 110], Operations: ['94/2=47', '62+48=110']
Exploring Operation: 47*110=5170, Resulting Numbers: [5170]
5170,66 unequal: No Solution
Exploring Operation: 47+110=157, Resulting Numbers: [157]
157,66 unequal: No Solution
Exploring Operation: 110-47=63, Resulting Numbers: [63]
63,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 66:[62, 94, 24], Operations: ['48/2=24']
Exploring Operation: 94-62=32, Resulting Numbers: [24, 32]
Generated Node #0,2,0: 66:[24, 32] Operation: 94-62=32
Exploring Operation: 62+24=86, Resulting Numbers: [94, 86]
Generated Node #0,2,1: 66:[94, 86] Operation: 62+24=86
Exploring Operation: 62-24=38, Resulting Numbers: [94, 38]
Generated Node #0,2,2: 66:[94, 38] Operation: 62-24=38
Exploring Operation: 94-24=70, Resulting Numbers: [62, 70]
Generated Node #0,2,3: 66:[62, 70] Operation: 94-24=70
Exploring Operation: 94+24=118, Resulting Numbers: [62, 118]
Generated Node #0,2,4: 66:[62, 118] Operation: 94+24=118
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 66:[24, 32], Operations: ['48/2=24', '94-62=32']
Exploring Operation: 24*32=768, Resulting Numbers: [768]
768,66 unequal: No Solution
Exploring Operation: 24+32=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 66:[62, 70], Operations: ['48/2=24', '94-24=70']
Exploring Operation: 62*70=4340, Resulting Numbers: [4340]
4340,66 unequal: No Solution
Exploring Operation: 70-62=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Exploring Operation: 62+70=132, Resulting Numbers: [132]
132,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 66:[94, 38], Operations: ['48/2=24', '62-24=38']
Exploring Operation: 94+38=132, Resulting Numbers: [132]
132,66 unequal: No Solution
Exploring Operation: 94-38=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 94*38=3572, Resulting Numbers: [3572]
3572,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 66:[94, 86], Operations: ['48/2=24', '62+24=86']
Exploring Operation: 94*86=8084, Resulting Numbers: [8084]
8084,66 unequal: No Solution
Exploring Operation: 94-86=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Exploring Operation: 94+86=180, Resulting Numbers: [180]
180,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 66:[62, 118], Operations: ['48/2=24', '94+24=118']
Exploring Operation: 118-62=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 62*118=7316, Resulting Numbers: [7316]
7316,66 unequal: No Solution
Exploring Operation: 62+118=180, Resulting Numbers: [180]
180,66 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 |
[
36,
89,
76,
25
] | 71 | [
"36+89=125",
"125/25=5",
"76-5=71"
] | Current State: 71:[36, 89, 76, 25], Operations: []
Exploring Operation: 36+89=125, Resulting Numbers: [76, 25, 125]
Generated Node #2: [76, 25, 125] from Operation: 36+89=125
Current State: 71:[76, 25, 125], Operations: ['36+89=125']
Exploring Operation: 125/25=5, Resulting Numbers: [76, 5]
Generated Node #3: [76, 5] from Operation: 125/25=5
Current State: 71:[76, 5], Operations: ['36+89=125', '125/25=5']
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[36, 89, 76, 25], Operations: []
Exploring Operation: 89-25=64, Resulting Numbers: [36, 76, 64]
Generated Node #0,0: 71:[36, 76, 64] Operation: 89-25=64
Exploring Operation: 36+25=61, Resulting Numbers: [89, 76, 61]
Generated Node #0,1: 71:[89, 76, 61] Operation: 36+25=61
Exploring Operation: 36-25=11, Resulting Numbers: [89, 76, 11]
Generated Node #0,2: 71:[89, 76, 11] Operation: 36-25=11
Exploring Operation: 76-25=51, Resulting Numbers: [36, 89, 51]
Generated Node #0,3: 71:[36, 89, 51] Operation: 76-25=51
Exploring Operation: 89-36=53, Resulting Numbers: [76, 25, 53]
Generated Node #0,4: 71:[76, 25, 53] Operation: 89-36=53
Start Sub Search at level 1: Moving to Node #0,1
Current State: 71:[89, 76, 61], Operations: ['36+25=61']
Exploring Operation: 76-61=15, Resulting Numbers: [89, 15]
Generated Node #0,1,0: 71:[89, 15] Operation: 76-61=15
Exploring Operation: 89+61=150, Resulting Numbers: [76, 150]
Generated Node #0,1,1: 71:[76, 150] Operation: 89+61=150
Exploring Operation: 89-76=13, Resulting Numbers: [61, 13]
Generated Node #0,1,2: 71:[61, 13] Operation: 89-76=13
Exploring Operation: 89-61=28, Resulting Numbers: [76, 28]
Generated Node #0,1,3: 71:[76, 28] Operation: 89-61=28
Exploring Operation: 76+61=137, Resulting Numbers: [89, 137]
Generated Node #0,1,4: 71:[89, 137] Operation: 76+61=137
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 71:[76, 28], Operations: ['36+25=61', '89-61=28']
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Exploring Operation: 76*28=2128, Resulting Numbers: [2128]
2128,71 unequal: No Solution
Exploring Operation: 76+28=104, Resulting Numbers: [104]
104,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 71:[61, 13], Operations: ['36+25=61', '89-76=13']
Exploring Operation: 61*13=793, Resulting Numbers: [793]
793,71 unequal: No Solution
Exploring Operation: 61+13=74, Resulting Numbers: [74]
74,71 unequal: No Solution
Exploring Operation: 61-13=48, Resulting Numbers: [48]
48,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 71:[89, 15], Operations: ['36+25=61', '76-61=15']
Exploring Operation: 89*15=1335, Resulting Numbers: [1335]
1335,71 unequal: No Solution
Exploring Operation: 89-15=74, Resulting Numbers: [74]
74,71 unequal: No Solution
Exploring Operation: 89+15=104, Resulting Numbers: [104]
104,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 71:[76, 150], Operations: ['36+25=61', '89+61=150']
Exploring Operation: 150-76=74, Resulting Numbers: [74]
74,71 unequal: No Solution
Exploring Operation: 76*150=11400, Resulting Numbers: [11400]
11400,71 unequal: No Solution
Exploring Operation: 76+150=226, Resulting Numbers: [226]
226,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 71:[89, 137], Operations: ['36+25=61', '76+61=137']
Exploring Operation: 89+137=226, Resulting Numbers: [226]
226,71 unequal: No Solution
Exploring Operation: 137-89=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Exploring Operation: 89*137=12193, Resulting Numbers: [12193]
12193,71 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: 71:[36, 76, 64], Operations: ['89-25=64']
Exploring Operation: 64-36=28, Resulting Numbers: [76, 28]
Generated Node #0,0,0: 71:[76, 28] Operation: 64-36=28
Exploring Operation: 36+64=100, Resulting Numbers: [76, 100]
Generated Node #0,0,1: 71:[76, 100] Operation: 36+64=100
Exploring Operation: 76-36=40, Resulting Numbers: [64, 40]
Generated Node #0,0,2: 71:[64, 40] Operation: 76-36=40
Exploring Operation: 76-64=12, Resulting Numbers: [36, 12]
Generated Node #0,0,3: 71:[36, 12] Operation: 76-64=12
Exploring Operation: 36+76=112, Resulting Numbers: [64, 112]
Generated Node #0,0,4: 71:[64, 112] Operation: 36+76=112
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 71:[76, 100], Operations: ['89-25=64', '36+64=100']
Exploring Operation: 76*100=7600, Resulting Numbers: [7600]
7600,71 unequal: No Solution
Exploring Operation: 100-76=24, Resulting Numbers: [24]
24,71 unequal: No Solution
Exploring Operation: 76+100=176, Resulting Numbers: [176]
176,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 71:[64, 40], Operations: ['89-25=64', '76-36=40']
Exploring Operation: 64+40=104, Resulting Numbers: [104]
104,71 unequal: No Solution
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,71 unequal: No Solution
Exploring Operation: 64*40=2560, Resulting Numbers: [2560]
2560,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 71:[76, 28], Operations: ['89-25=64', '64-36=28']
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Exploring Operation: 76+28=104, Resulting Numbers: [104]
104,71 unequal: No Solution
Exploring Operation: 76*28=2128, Resulting Numbers: [2128]
2128,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 71:[64, 112], Operations: ['89-25=64', '36+76=112']
Exploring Operation: 64*112=7168, Resulting Numbers: [7168]
7168,71 unequal: No Solution
Exploring Operation: 64+112=176, Resulting Numbers: [176]
176,71 unequal: No Solution
Exploring Operation: 112-64=48, Resulting Numbers: [48]
48,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 71:[36, 12], Operations: ['89-25=64', '76-64=12']
Exploring Operation: 36*12=432, Resulting Numbers: [432]
432,71 unequal: No Solution
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,71 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,71 unequal: No Solution
Exploring Operation: 36+12=48, Resulting Numbers: [48]
48,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 71:[76, 25, 53], Operations: ['89-36=53']
Exploring Operation: 76-53=23, Resulting Numbers: [25, 23]
Generated Node #0,4,0: 71:[25, 23] Operation: 76-53=23
Exploring Operation: 53-25=28, Resulting Numbers: [76, 28]
Generated Node #0,4,1: 71:[76, 28] Operation: 53-25=28
Exploring Operation: 76+25=101, Resulting Numbers: [53, 101]
Generated Node #0,4,2: 71:[53, 101] Operation: 76+25=101
Exploring Operation: 76-25=51, Resulting Numbers: [53, 51]
Generated Node #0,4,3: 71:[53, 51] Operation: 76-25=51
Exploring Operation: 25+53=78, Resulting Numbers: [76, 78]
Generated Node #0,4,4: 71:[76, 78] Operation: 25+53=78
Moving to Node #0,4,4
Current State: 71:[76, 78], Operations: ['89-36=53', '25+53=78']
Exploring Operation: 76*78=5928, Resulting Numbers: [5928]
5928,71 unequal: No Solution
Exploring Operation: 78-76=2, Resulting Numbers: [2]
2,71 unequal: No Solution
Exploring Operation: 76+78=154, Resulting Numbers: [154]
154,71 unequal: No Solution
Moving to Node #0,4,3
Current State: 71:[53, 51], Operations: ['89-36=53', '76-25=51']
Exploring Operation: 53*51=2703, Resulting Numbers: [2703]
2703,71 unequal: No Solution
Exploring Operation: 53-51=2, Resulting Numbers: [2]
2,71 unequal: No Solution
Exploring Operation: 53+51=104, Resulting Numbers: [104]
104,71 unequal: No Solution
Moving to Node #0,4,1
Current State: 71:[76, 28], Operations: ['89-36=53', '53-25=28']
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Exploring Operation: 76*28=2128, Resulting Numbers: [2128]
2128,71 unequal: No Solution
Exploring Operation: 76+28=104, Resulting Numbers: [104]
104,71 unequal: No Solution
Moving to Node #0,4,2
Current State: 71:[53, 101], Operations: ['89-36=53', '76+25=101']
Exploring Operation: 53*101=5353, Resulting Numbers: [5353]
5353,71 unequal: No Solution
Exploring Operation: 101-53=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Exploring Operation: 53+101=154, Resulting Numbers: [154]
154,71 unequal: No Solution
Moving to Node #0,4,0
Current State: 71:[25, 23], Operations: ['89-36=53', '76-53=23']
Exploring Operation: 25+23=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Exploring Operation: 25-23=2, Resulting Numbers: [2]
2,71 unequal: No Solution
Exploring Operation: 25*23=575, Resulting Numbers: [575]
575,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 71:[36, 89, 51], Operations: ['76-25=51']
Exploring Operation: 36+51=87, Resulting Numbers: [89, 87]
Generated Node #0,3,0: 71:[89, 87] Operation: 36+51=87
Exploring Operation: 36+89=125, Resulting Numbers: [51, 125]
Generated Node #0,3,1: 71:[51, 125] Operation: 36+89=125
Exploring Operation: 51-36=15, Resulting Numbers: [89, 15]
Generated Node #0,3,2: 71:[89, 15] Operation: 51-36=15
Exploring Operation: 89-36=53, Resulting Numbers: [51, 53]
Generated Node #0,3,3: 71:[51, 53] Operation: 89-36=53
Exploring Operation: 89-51=38, Resulting Numbers: [36, 38]
Generated Node #0,3,4: 71:[36, 38] Operation: 89-51=38
Moving to Node #0,3,0
Current State: 71:[89, 87], Operations: ['76-25=51', '36+51=87']
Exploring Operation: 89+87=176, Resulting Numbers: [176]
176,71 unequal: No Solution
Exploring Operation: 89-87=2, Resulting Numbers: [2]
2,71 unequal: No Solution
Exploring Operation: 89*87=7743, Resulting Numbers: [7743]
7743,71 unequal: No Solution
Moving to Node #0,3,3
Current State: 71:[51, 53], Operations: ['76-25=51', '89-36=53']
Exploring Operation: 53-51=2, Resulting Numbers: [2]
2,71 unequal: No Solution
Exploring Operation: 51+53=104, Resulting Numbers: [104]
104,71 unequal: No Solution
Exploring Operation: 51*53=2703, Resulting Numbers: [2703]
2703,71 unequal: No Solution
Moving to Node #0,3,4
Current State: 71:[36, 38], Operations: ['76-25=51', '89-51=38']
Exploring Operation: 36*38=1368, Resulting Numbers: [1368]
1368,71 unequal: No Solution
Exploring Operation: 36+38=74, Resulting Numbers: [74]
74,71 unequal: No Solution
Exploring Operation: 38-36=2, Resulting Numbers: [2]
2,71 unequal: No Solution
Moving to Node #0,3,1
Current State: 71:[51, 125], Operations: ['76-25=51', '36+89=125']
Exploring Operation: 51*125=6375, Resulting Numbers: [6375]
6375,71 unequal: No Solution
Exploring Operation: 125-51=74, Resulting Numbers: [74]
74,71 unequal: No Solution
Exploring Operation: 51+125=176, Resulting Numbers: [176]
176,71 unequal: No Solution
Moving to Node #0,3,2
Current State: 71:[89, 15], Operations: ['76-25=51', '51-36=15']
Exploring Operation: 89-15=74, Resulting Numbers: [74]
74,71 unequal: No Solution
Exploring Operation: 89+15=104, Resulting Numbers: [104]
104,71 unequal: No Solution
Exploring Operation: 89*15=1335, Resulting Numbers: [1335]
1335,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 71:[89, 76, 11], Operations: ['36-25=11']
Exploring Operation: 76+11=87, Resulting Numbers: [89, 87]
Generated Node #0,2,0: 71:[89, 87] Operation: 76+11=87
Exploring Operation: 76-11=65, Resulting Numbers: [89, 65]
Generated Node #0,2,1: 71:[89, 65] Operation: 76-11=65
Exploring Operation: 89-76=13, Resulting Numbers: [11, 13]
Generated Node #0,2,2: 71:[11, 13] Operation: 89-76=13
Exploring Operation: 89-11=78, Resulting Numbers: [76, 78]
Generated Node #0,2,3: 71:[76, 78] Operation: 89-11=78
Exploring Operation: 89+11=100, Resulting Numbers: [76, 100]
Generated Node #0,2,4: 71:[76, 100] Operation: 89+11=100
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 71:[76, 78], Operations: ['36-25=11', '89-11=78']
Exploring Operation: 76*78=5928, Resulting Numbers: [5928]
5928,71 unequal: No Solution
Exploring Operation: 76+78=154, Resulting Numbers: [154]
154,71 unequal: No Solution
Exploring Operation: 78-76=2, Resulting Numbers: [2]
2,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 71:[89, 65], Operations: ['36-25=11', '76-11=65']
Exploring Operation: 89-65=24, Resulting Numbers: [24]
24,71 unequal: No Solution
Exploring Operation: 89*65=5785, Resulting Numbers: [5785]
5785,71 unequal: No Solution
Exploring Operation: 89+65=154, Resulting Numbers: [154]
154,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 71:[89, 87], Operations: ['36-25=11', '76+11=87']
Exploring Operation: 89-87=2, Resulting Numbers: [2]
2,71 unequal: No Solution
Exploring Operation: 89+87=176, Resulting Numbers: [176]
176,71 unequal: No Solution
Exploring Operation: 89*87=7743, Resulting Numbers: [7743]
7743,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 71:[76, 100], Operations: ['36-25=11', '89+11=100']
Exploring Operation: 100-76=24, Resulting Numbers: [24]
24,71 unequal: No Solution
Exploring Operation: 76*100=7600, Resulting Numbers: [7600]
7600,71 unequal: No Solution
Exploring Operation: 76+100=176, Resulting Numbers: [176]
176,71 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 71:[11, 13], Operations: ['36-25=11', '89-76=13']
Exploring Operation: 11*13=143, Resulting Numbers: [143]
143,71 unequal: No Solution
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,71 unequal: No Solution
Exploring Operation: 11+13=24, Resulting Numbers: [24]
24,71 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 |
[
52,
82,
78,
14
] | 70 | [
"52+82=134",
"78-14=64",
"134-64=70"
] | Current State: 70:[52, 82, 78, 14], Operations: []
Exploring Operation: 52+82=134, Resulting Numbers: [78, 14, 134]
Generated Node #2: [78, 14, 134] from Operation: 52+82=134
Current State: 70:[78, 14, 134], Operations: ['52+82=134']
Exploring Operation: 78-14=64, Resulting Numbers: [134, 64]
Generated Node #3: [134, 64] from Operation: 78-14=64
Current State: 70:[134, 64], Operations: ['52+82=134', '78-14=64']
Exploring Operation: 134-64=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[52, 82, 78, 14], Operations: []
Exploring Operation: 82-52=30, Resulting Numbers: [78, 14, 30]
Generated Node #0,0: 70:[78, 14, 30] Operation: 82-52=30
Exploring Operation: 78-52=26, Resulting Numbers: [82, 14, 26]
Generated Node #0,1: 70:[82, 14, 26] Operation: 78-52=26
Exploring Operation: 52+14=66, Resulting Numbers: [82, 78, 66]
Generated Node #0,2: 70:[82, 78, 66] Operation: 52+14=66
Exploring Operation: 52-14=38, Resulting Numbers: [82, 78, 38]
Generated Node #0,3: 70:[82, 78, 38] Operation: 52-14=38
Exploring Operation: 82-78=4, Resulting Numbers: [52, 14, 4]
Generated Node #0,4: 70:[52, 14, 4] Operation: 82-78=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[78, 14, 30], Operations: ['82-52=30']
Exploring Operation: 78-30=48, Resulting Numbers: [14, 48]
Generated Node #0,0,0: 70:[14, 48] Operation: 78-30=48
Exploring Operation: 14+30=44, Resulting Numbers: [78, 44]
Generated Node #0,0,1: 70:[78, 44] Operation: 14+30=44
Exploring Operation: 30-14=16, Resulting Numbers: [78, 16]
Generated Node #0,0,2: 70:[78, 16] Operation: 30-14=16
Exploring Operation: 78-14=64, Resulting Numbers: [30, 64]
Generated Node #0,0,3: 70:[30, 64] Operation: 78-14=64
Exploring Operation: 78+14=92, Resulting Numbers: [30, 92]
Generated Node #0,0,4: 70:[30, 92] Operation: 78+14=92
Moving to Node #0,0,2
Current State: 70:[78, 16], Operations: ['82-52=30', '30-14=16']
Exploring Operation: 78*16=1248, Resulting Numbers: [1248]
1248,70 unequal: No Solution
Exploring Operation: 78-16=62, Resulting Numbers: [62]
62,70 unequal: No Solution
Exploring Operation: 78+16=94, Resulting Numbers: [94]
94,70 unequal: No Solution
Moving to Node #0,0,3
Current State: 70:[30, 64], Operations: ['82-52=30', '78-14=64']
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Exploring Operation: 30*64=1920, Resulting Numbers: [1920]
1920,70 unequal: No Solution
Exploring Operation: 30+64=94, Resulting Numbers: [94]
94,70 unequal: No Solution
Moving to Node #0,0,0
Current State: 70:[14, 48], Operations: ['82-52=30', '78-30=48']
Exploring Operation: 14+48=62, Resulting Numbers: [62]
62,70 unequal: No Solution
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Exploring Operation: 14*48=672, Resulting Numbers: [672]
672,70 unequal: No Solution
Moving to Node #0,0,1
Current State: 70:[78, 44], Operations: ['82-52=30', '14+30=44']
Exploring Operation: 78*44=3432, Resulting Numbers: [3432]
3432,70 unequal: No Solution
Exploring Operation: 78+44=122, Resulting Numbers: [122]
122,70 unequal: No Solution
Exploring Operation: 78-44=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Moving to Node #0,0,4
Current State: 70:[30, 92], Operations: ['82-52=30', '78+14=92']
Exploring Operation: 92-30=62, Resulting Numbers: [62]
62,70 unequal: No Solution
Exploring Operation: 30*92=2760, Resulting Numbers: [2760]
2760,70 unequal: No Solution
Exploring Operation: 30+92=122, Resulting Numbers: [122]
122,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 70:[52, 14, 4], Operations: ['82-78=4']
Exploring Operation: 52/4=13, Resulting Numbers: [14, 13]
Generated Node #0,4,0: 70:[14, 13] Operation: 52/4=13
Exploring Operation: 52-4=48, Resulting Numbers: [14, 48]
Generated Node #0,4,1: 70:[14, 48] Operation: 52-4=48
Exploring Operation: 52-14=38, Resulting Numbers: [4, 38]
Generated Node #0,4,2: 70:[4, 38] Operation: 52-14=38
Exploring Operation: 52+4=56, Resulting Numbers: [14, 56]
Generated Node #0,4,3: 70:[14, 56] Operation: 52+4=56
Exploring Operation: 52+14=66, Resulting Numbers: [4, 66]
Generated Node #0,4,4: 70:[4, 66] Operation: 52+14=66
Moving to Node #0,4,0
Current State: 70:[14, 13], Operations: ['82-78=4', '52/4=13']
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,70 unequal: No Solution
Exploring Operation: 14*13=182, Resulting Numbers: [182]
182,70 unequal: No Solution
Moving to Node #0,4,2
Current State: 70:[4, 38], Operations: ['82-78=4', '52-14=38']
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Exploring Operation: 4+38=42, Resulting Numbers: [42]
42,70 unequal: No Solution
Exploring Operation: 4*38=152, Resulting Numbers: [152]
152,70 unequal: No Solution
Moving to Node #0,4,4
Current State: 70:[4, 66], Operations: ['82-78=4', '52+14=66']
Exploring Operation: 4+66=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[52, 82, 78, 14], Operations: []
Exploring Operation: 82-78=4, Resulting Numbers: [52, 14, 4]
Generated Node #0,4: 70:[52, 14, 4] Operation: 82-78=4
Moving to Node #0,4
Current State: 70:[52, 14, 4], Operations: ['82-78=4']
Exploring Operation: 52+14=66, Resulting Numbers: [4, 66]
Generated Node #0,4,4: 70:[4, 66] Operation: 52+14=66
Moving to Node #0,4,4
Current State: 70:[4, 66], Operations: ['82-78=4', '52+14=66']
Exploring Operation: 4+66=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441 | hs_5 | sum_heuristic |
[
85,
33,
10,
19
] | 38 | [
"85+10=95",
"95/19=5",
"33+5=38"
] | Current State: 38:[85, 33, 10, 19], Operations: []
Exploring Operation: 85+10=95, Resulting Numbers: [33, 19, 95]
Generated Node #2: [33, 19, 95] from Operation: 85+10=95
Current State: 38:[33, 19, 95], Operations: ['85+10=95']
Exploring Operation: 95/19=5, Resulting Numbers: [33, 5]
Generated Node #3: [33, 5] from Operation: 95/19=5
Current State: 38:[33, 5], Operations: ['85+10=95', '95/19=5']
Exploring Operation: 33+5=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[85, 33, 10, 19], Operations: []
Exploring Operation: 33-10=23, Resulting Numbers: [85, 19, 23]
Generated Node #0,0: 38:[85, 19, 23] Operation: 33-10=23
Exploring Operation: 85-19=66, Resulting Numbers: [33, 10, 66]
Generated Node #0,1: 38:[33, 10, 66] Operation: 85-19=66
Exploring Operation: 85-10=75, Resulting Numbers: [33, 19, 75]
Generated Node #0,2: 38:[33, 19, 75] Operation: 85-10=75
Exploring Operation: 85-33=52, Resulting Numbers: [10, 19, 52]
Generated Node #0,3: 38:[10, 19, 52] Operation: 85-33=52
Start Sub Search at level 1: Moving to Node #0,3
Current State: 38:[10, 19, 52], Operations: ['85-33=52']
Exploring Operation: 19-10=9, Resulting Numbers: [52, 9]
Generated Node #0,3,0: 38:[52, 9] Operation: 19-10=9
Exploring Operation: 10+19=29, Resulting Numbers: [52, 29]
Generated Node #0,3,1: 38:[52, 29] Operation: 10+19=29
Exploring Operation: 52-19=33, Resulting Numbers: [10, 33]
Generated Node #0,3,2: 38:[10, 33] Operation: 52-19=33
Exploring Operation: 52-10=42, Resulting Numbers: [19, 42]
Generated Node #0,3,3: 38:[19, 42] Operation: 52-10=42
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 38:[19, 42], Operations: ['85-33=52', '52-10=42']
Exploring Operation: 19+42=61, Resulting Numbers: [61]
61,38 unequal: No Solution
Exploring Operation: 42-19=23, Resulting Numbers: [23]
23,38 unequal: No Solution
Exploring Operation: 19*42=798, Resulting Numbers: [798]
798,38 unequal: No Solution
No 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: 38:[10, 33], Operations: ['85-33=52', '52-19=33']
Exploring Operation: 10+33=43, Resulting Numbers: [43]
43,38 unequal: No Solution
Exploring Operation: 10*33=330, Resulting Numbers: [330]
330,38 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,38 unequal: No Solution
No 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: 38:[52, 9], Operations: ['85-33=52', '19-10=9']
Exploring Operation: 52+9=61, Resulting Numbers: [61]
61,38 unequal: No Solution
Exploring Operation: 52*9=468, Resulting Numbers: [468]
468,38 unequal: No Solution
Exploring Operation: 52-9=43, Resulting Numbers: [43]
43,38 unequal: No Solution
No 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: 38:[52, 29], Operations: ['85-33=52', '10+19=29']
Exploring Operation: 52-29=23, Resulting Numbers: [23]
23,38 unequal: No Solution
Exploring Operation: 52+29=81, Resulting Numbers: [81]
81,38 unequal: No Solution
Exploring Operation: 52*29=1508, Resulting Numbers: [1508]
1508,38 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: 38:[33, 10, 66], Operations: ['85-19=66']
Exploring Operation: 66-10=56, Resulting Numbers: [33, 56]
Generated Node #0,1,0: 38:[33, 56] Operation: 66-10=56
Exploring Operation: 66-33=33, Resulting Numbers: [10, 33]
Generated Node #0,1,1: 38:[10, 33] Operation: 66-33=33
Exploring Operation: 33-10=23, Resulting Numbers: [66, 23]
Generated Node #0,1,2: 38:[66, 23] Operation: 33-10=23
Exploring Operation: 66/33=2, Resulting Numbers: [10, 2]
Generated Node #0,1,3: 38:[10, 2] Operation: 66/33=2
Moving to Node #0,1,3
Current State: 38:[10, 2], Operations: ['85-19=66', '66/33=2']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,38 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,38 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Moving to Node #0,1,1
Current State: 38:[10, 33], Operations: ['85-19=66', '66-33=33']
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,38 unequal: No Solution
Exploring Operation: 10+33=43, Resulting Numbers: [43]
43,38 unequal: No Solution
Exploring Operation: 10*33=330, Resulting Numbers: [330]
330,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[33, 56], Operations: ['85-19=66', '66-10=56']
Exploring Operation: 33*56=1848, Resulting Numbers: [1848]
1848,38 unequal: No Solution
Exploring Operation: 56-33=23, Resulting Numbers: [23]
23,38 unequal: No Solution
Exploring Operation: 33+56=89, Resulting Numbers: [89]
89,38 unequal: No Solution
Moving to Node #0,1,2
Current State: 38:[66, 23], Operations: ['85-19=66', '33-10=23']
Exploring Operation: 66*23=1518, Resulting Numbers: [1518]
1518,38 unequal: No Solution
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,38 unequal: No Solution
Exploring Operation: 66+23=89, Resulting Numbers: [89]
89,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[33, 19, 75], Operations: ['85-10=75']
Exploring Operation: 75-33=42, Resulting Numbers: [19, 42]
Generated Node #0,2,0: 38:[19, 42] Operation: 75-33=42
Exploring Operation: 33-19=14, Resulting Numbers: [75, 14]
Generated Node #0,2,1: 38:[75, 14] Operation: 33-19=14
Exploring Operation: 33+19=52, Resulting Numbers: [75, 52]
Generated Node #0,2,2: 38:[75, 52] Operation: 33+19=52
Exploring Operation: 75-19=56, Resulting Numbers: [33, 56]
Generated Node #0,2,3: 38:[33, 56] Operation: 75-19=56
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 38:[19, 42], Operations: ['85-10=75', '75-33=42']
Exploring Operation: 19*42=798, Resulting Numbers: [798]
798,38 unequal: No Solution
Exploring Operation: 19+42=61, Resulting Numbers: [61]
61,38 unequal: No Solution
Exploring Operation: 42-19=23, Resulting Numbers: [23]
23,38 unequal: No Solution
No 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: 38:[33, 56], Operations: ['85-10=75', '75-19=56']
Exploring Operation: 56-33=23, Resulting Numbers: [23]
23,38 unequal: No Solution
Exploring Operation: 33*56=1848, Resulting Numbers: [1848]
1848,38 unequal: No Solution
Exploring Operation: 33+56=89, Resulting Numbers: [89]
89,38 unequal: No Solution
No 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: 38:[75, 14], Operations: ['85-10=75', '33-19=14']
Exploring Operation: 75*14=1050, Resulting Numbers: [1050]
1050,38 unequal: No Solution
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,38 unequal: No Solution
Exploring Operation: 75+14=89, Resulting Numbers: [89]
89,38 unequal: No Solution
No 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: 38:[75, 52], Operations: ['85-10=75', '33+19=52']
Exploring Operation: 75+52=127, Resulting Numbers: [127]
127,38 unequal: No Solution
Exploring Operation: 75*52=3900, Resulting Numbers: [3900]
3900,38 unequal: No Solution
Exploring Operation: 75-52=23, Resulting Numbers: [23]
23,38 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: 38:[85, 19, 23], Operations: ['33-10=23']
Exploring Operation: 85-19=66, Resulting Numbers: [23, 66]
Generated Node #0,0,0: 38:[23, 66] Operation: 85-19=66
Exploring Operation: 23-19=4, Resulting Numbers: [85, 4]
Generated Node #0,0,1: 38:[85, 4] Operation: 23-19=4
Exploring Operation: 19+23=42, Resulting Numbers: [85, 42]
Generated Node #0,0,2: 38:[85, 42] Operation: 19+23=42
Exploring Operation: 85-23=62, Resulting Numbers: [19, 62]
Generated Node #0,0,3: 38:[19, 62] Operation: 85-23=62
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 38:[19, 62], Operations: ['33-10=23', '85-23=62']
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,38 unequal: No Solution
Exploring Operation: 19+62=81, Resulting Numbers: [81]
81,38 unequal: No Solution
Exploring Operation: 19*62=1178, Resulting Numbers: [1178]
1178,38 unequal: No Solution
No 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: 38:[23, 66], Operations: ['33-10=23', '85-19=66']
Exploring Operation: 23*66=1518, Resulting Numbers: [1518]
1518,38 unequal: No Solution
Exploring Operation: 23+66=89, Resulting Numbers: [89]
89,38 unequal: No Solution
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,38 unequal: No Solution
No 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: 38:[85, 4], Operations: ['33-10=23', '23-19=4']
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,38 unequal: No Solution
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,38 unequal: No Solution
Exploring Operation: 85*4=340, Resulting Numbers: [340]
340,38 unequal: No Solution
No 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: 38:[85, 42], Operations: ['33-10=23', '19+23=42']
Exploring Operation: 85-42=43, Resulting Numbers: [43]
43,38 unequal: No Solution
Exploring Operation: 85+42=127, Resulting Numbers: [127]
127,38 unequal: No Solution
Exploring Operation: 85*42=3570, Resulting Numbers: [3570]
3570,38 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 |
[
3,
30,
14,
77
] | 55 | [
"30/3=10",
"77*10=770",
"770/14=55"
] | Current State: 55:[3, 30, 14, 77], Operations: []
Exploring Operation: 30/3=10, Resulting Numbers: [14, 77, 10]
Generated Node #2: [14, 77, 10] from Operation: 30/3=10
Current State: 55:[14, 77, 10], Operations: ['30/3=10']
Exploring Operation: 77*10=770, Resulting Numbers: [14, 770]
Generated Node #3: [14, 770] from Operation: 77*10=770
Current State: 55:[14, 770], Operations: ['30/3=10', '77*10=770']
Exploring Operation: 770/14=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[3, 30, 14, 77], Operations: []
Exploring Operation: 30/3=10, Resulting Numbers: [14, 77, 10]
Generated Node #0,0: 55:[14, 77, 10] Operation: 30/3=10
Exploring Operation: 30-14=16, Resulting Numbers: [3, 77, 16]
Generated Node #0,1: 55:[3, 77, 16] Operation: 30-14=16
Exploring Operation: 77-14=63, Resulting Numbers: [3, 30, 63]
Generated Node #0,2: 55:[3, 30, 63] Operation: 77-14=63
Exploring Operation: 77-30=47, Resulting Numbers: [3, 14, 47]
Generated Node #0,3: 55:[3, 14, 47] Operation: 77-30=47
Moving to Node #0,3
Current State: 55:[3, 14, 47], Operations: ['77-30=47']
Exploring Operation: 14+47=61, Resulting Numbers: [3, 61]
Generated Node #0,3,0: 55:[3, 61] Operation: 14+47=61
Exploring Operation: 3+47=50, Resulting Numbers: [14, 50]
Generated Node #0,3,1: 55:[14, 50] Operation: 3+47=50
Exploring Operation: 14-3=11, Resulting Numbers: [47, 11]
Generated Node #0,3,2: 55:[47, 11] Operation: 14-3=11
Exploring Operation: 3+14=17, Resulting Numbers: [47, 17]
Generated Node #0,3,3: 55:[47, 17] Operation: 3+14=17
Moving to Node #0,0
Current State: 55:[14, 77, 10], Operations: ['30/3=10']
Exploring Operation: 14-10=4, Resulting Numbers: [77, 4]
Generated Node #0,0,0: 55:[77, 4] Operation: 14-10=4
Exploring Operation: 14+10=24, Resulting Numbers: [77, 24]
Generated Node #0,0,1: 55:[77, 24] Operation: 14+10=24
Exploring Operation: 77-10=67, Resulting Numbers: [14, 67]
Generated Node #0,0,2: 55:[14, 67] Operation: 77-10=67
Exploring Operation: 77-14=63, Resulting Numbers: [10, 63]
Generated Node #0,0,3: 55:[10, 63] Operation: 77-14=63
Moving to Node #0,2
Current State: 55:[3, 30, 63], Operations: ['77-14=63']
Exploring Operation: 30/3=10, Resulting Numbers: [63, 10]
Generated Node #0,2,0: 55:[63, 10] Operation: 30/3=10
Exploring Operation: 30-3=27, Resulting Numbers: [63, 27]
Generated Node #0,2,1: 55:[63, 27] Operation: 30-3=27
Exploring Operation: 63-30=33, Resulting Numbers: [3, 33]
Generated Node #0,2,2: 55:[3, 33] Operation: 63-30=33
Exploring Operation: 63-3=60, Resulting Numbers: [30, 60]
Generated Node #0,2,3: 55:[30, 60] Operation: 63-3=60
Moving to Node #0,1
Current State: 55:[3, 77, 16], Operations: ['30-14=16']
Exploring Operation: 77-3=74, Resulting Numbers: [16, 74]
Generated Node #0,1,0: 55:[16, 74] Operation: 77-3=74
Exploring Operation: 77-16=61, Resulting Numbers: [3, 61]
Generated Node #0,1,1: 55:[3, 61] Operation: 77-16=61
Exploring Operation: 16-3=13, Resulting Numbers: [77, 13]
Generated Node #0,1,2: 55:[77, 13] Operation: 16-3=13
Exploring Operation: 3*16=48, Resulting Numbers: [77, 48]
Generated Node #0,1,3: 55:[77, 48] Operation: 3*16=48
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 55:[3, 61], Operations: ['30-14=16', '77-16=61']
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,55 unequal: No Solution
Exploring Operation: 3*61=183, Resulting Numbers: [183]
183,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 55:[16, 74], Operations: ['30-14=16', '77-3=74']
Exploring Operation: 16+74=90, Resulting Numbers: [90]
90,55 unequal: No Solution
Exploring Operation: 74-16=58, Resulting Numbers: [58]
58,55 unequal: No Solution
Exploring Operation: 16*74=1184, Resulting Numbers: [1184]
1184,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 55:[77, 13], Operations: ['30-14=16', '16-3=13']
Exploring Operation: 77*13=1001, Resulting Numbers: [1001]
1001,55 unequal: No Solution
Exploring Operation: 77-13=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 77+13=90, Resulting Numbers: [90]
90,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 55:[77, 48], Operations: ['30-14=16', '3*16=48']
Exploring Operation: 77*48=3696, Resulting Numbers: [3696]
3696,55 unequal: No Solution
Exploring Operation: 77-48=29, Resulting Numbers: [29]
29,55 unequal: No Solution
Exploring Operation: 77+48=125, Resulting Numbers: [125]
125,55 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: 55:[3, 61], Operations: ['77-30=47', '14+47=61']
Exploring Operation: 3*61=183, Resulting Numbers: [183]
183,55 unequal: No Solution
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,55 unequal: No Solution
Exploring Operation: 3+61=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[47, 11], Operations: ['77-30=47', '14-3=11']
Exploring Operation: 47-11=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 47+11=58, Resulting Numbers: [58]
58,55 unequal: No Solution
Exploring Operation: 47*11=517, Resulting Numbers: [517]
517,55 unequal: No Solution
Moving to Node #0,3,1
Current State: 55:[14, 50], Operations: ['77-30=47', '3+47=50']
Exploring Operation: 14+50=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 14*50=700, Resulting Numbers: [700]
700,55 unequal: No Solution
Exploring Operation: 50-14=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Moving to Node #0,0,3
Current State: 55:[10, 63], Operations: ['30/3=10', '77-14=63']
Exploring Operation: 10+63=73, Resulting Numbers: [73]
73,55 unequal: No Solution
Exploring Operation: 10*63=630, Resulting Numbers: [630]
630,55 unequal: No Solution
Exploring Operation: 63-10=53, Resulting Numbers: [53]
53,55 unequal: No Solution
Moving to Node #0,2,0
Current State: 55:[63, 10], Operations: ['77-14=63', '30/3=10']
Exploring Operation: 63-10=53, Resulting Numbers: [53]
53,55 unequal: No Solution
Exploring Operation: 63+10=73, Resulting Numbers: [73]
73,55 unequal: No Solution
Exploring Operation: 63*10=630, Resulting Numbers: [630]
630,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[47, 17], Operations: ['77-30=47', '3+14=17']
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Exploring Operation: 47+17=64, Resulting Numbers: [64]
64,55 unequal: No Solution
Exploring Operation: 47*17=799, Resulting Numbers: [799]
799,55 unequal: No Solution
Moving to Node #0,0,2
Current State: 55:[14, 67], Operations: ['30/3=10', '77-10=67']
Exploring Operation: 14*67=938, Resulting Numbers: [938]
938,55 unequal: No Solution
Exploring Operation: 14+67=81, Resulting Numbers: [81]
81,55 unequal: No Solution
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,55 unequal: No Solution
Moving to Node #0,0,0
Current State: 55:[77, 4], Operations: ['30/3=10', '14-10=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,55 unequal: No Solution
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,55 unequal: No Solution
Exploring Operation: 77*4=308, Resulting Numbers: [308]
308,55 unequal: No Solution
Moving to Node #0,2,3
Current State: 55:[30, 60], Operations: ['77-14=63', '63-3=60']
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Exploring Operation: 30*60=1800, Resulting Numbers: [1800]
1800,55 unequal: No Solution
Exploring Operation: 60/30=2, Resulting Numbers: [2]
2,55 unequal: No Solution
Exploring Operation: 30+60=90, Resulting Numbers: [90]
90,55 unequal: No Solution
Moving to Node #0,2,1
Current State: 55:[63, 27], Operations: ['77-14=63', '30-3=27']
Exploring Operation: 63-27=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 63+27=90, Resulting Numbers: [90]
90,55 unequal: No Solution
Exploring Operation: 63*27=1701, Resulting Numbers: [1701]
1701,55 unequal: No Solution
Moving to Node #0,2,2
Current State: 55:[3, 33], Operations: ['77-14=63', '63-30=33']
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,55 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,55 unequal: No Solution
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,55 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[77, 24], Operations: ['30/3=10', '14+10=24']
Exploring Operation: 77+24=101, Resulting Numbers: [101]
101,55 unequal: No Solution
Exploring Operation: 77-24=53, Resulting Numbers: [53]
53,55 unequal: No Solution
Exploring Operation: 77*24=1848, Resulting Numbers: [1848]
1848,55 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
27,
6,
14,
65
] | 58 | [
"27-6=21",
"14+65=79",
"79-21=58"
] | Current State: 58:[27, 6, 14, 65], Operations: []
Exploring Operation: 27-6=21, Resulting Numbers: [14, 65, 21]
Generated Node #2: [14, 65, 21] from Operation: 27-6=21
Current State: 58:[14, 65, 21], Operations: ['27-6=21']
Exploring Operation: 14+65=79, Resulting Numbers: [21, 79]
Generated Node #3: [21, 79] from Operation: 14+65=79
Current State: 58:[21, 79], Operations: ['27-6=21', '14+65=79']
Exploring Operation: 79-21=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[27, 6, 14, 65], Operations: []
Exploring Operation: 65-6=59, Resulting Numbers: [27, 14, 59]
Generated Node #0,0: 58:[27, 14, 59] Operation: 65-6=59
Exploring Operation: 6+14=20, Resulting Numbers: [27, 65, 20]
Generated Node #0,1: 58:[27, 65, 20] Operation: 6+14=20
Exploring Operation: 65-14=51, Resulting Numbers: [27, 6, 51]
Generated Node #0,2: 58:[27, 6, 51] Operation: 65-14=51
Exploring Operation: 14-6=8, Resulting Numbers: [27, 65, 8]
Generated Node #0,3: 58:[27, 65, 8] Operation: 14-6=8
Moving to Node #0,2
Current State: 58:[27, 6, 51], Operations: ['65-14=51']
Exploring Operation: 6+51=57, Resulting Numbers: [27, 57]
Generated Node #0,2,0: 58:[27, 57] Operation: 6+51=57
Exploring Operation: 27+6=33, Resulting Numbers: [51, 33]
Generated Node #0,2,1: 58:[51, 33] Operation: 27+6=33
Exploring Operation: 51-27=24, Resulting Numbers: [6, 24]
Generated Node #0,2,2: 58:[6, 24] Operation: 51-27=24
Exploring Operation: 27-6=21, Resulting Numbers: [51, 21]
Generated Node #0,2,3: 58:[51, 21] Operation: 27-6=21
Moving to Node #0,3
Current State: 58:[27, 65, 8], Operations: ['14-6=8']
Exploring Operation: 65-27=38, Resulting Numbers: [8, 38]
Generated Node #0,3,0: 58:[8, 38] Operation: 65-27=38
Exploring Operation: 27-8=19, Resulting Numbers: [65, 19]
Generated Node #0,3,1: 58:[65, 19] Operation: 27-8=19
Exploring Operation: 65-8=57, Resulting Numbers: [27, 57]
Generated Node #0,3,2: 58:[27, 57] Operation: 65-8=57
Exploring Operation: 27+8=35, Resulting Numbers: [65, 35]
Generated Node #0,3,3: 58:[65, 35] Operation: 27+8=35
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 58:[27, 57], Operations: ['14-6=8', '65-8=57']
Exploring Operation: 57-27=30, Resulting Numbers: [30]
30,58 unequal: No Solution
Exploring Operation: 27+57=84, Resulting Numbers: [84]
84,58 unequal: No Solution
Exploring Operation: 27*57=1539, Resulting Numbers: [1539]
1539,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 58:[65, 35], Operations: ['14-6=8', '27+8=35']
Exploring Operation: 65-35=30, Resulting Numbers: [30]
30,58 unequal: No Solution
Exploring Operation: 65+35=100, Resulting Numbers: [100]
100,58 unequal: No Solution
Exploring Operation: 65*35=2275, Resulting Numbers: [2275]
2275,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 58:[8, 38], Operations: ['14-6=8', '65-27=38']
Exploring Operation: 8*38=304, Resulting Numbers: [304]
304,58 unequal: No Solution
Exploring Operation: 8+38=46, Resulting Numbers: [46]
46,58 unequal: No Solution
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 58:[65, 19], Operations: ['14-6=8', '27-8=19']
Exploring Operation: 65*19=1235, Resulting Numbers: [1235]
1235,58 unequal: No Solution
Exploring Operation: 65-19=46, Resulting Numbers: [46]
46,58 unequal: No Solution
Exploring Operation: 65+19=84, Resulting Numbers: [84]
84,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 58:[27, 14, 59], Operations: ['65-6=59']
Exploring Operation: 59-14=45, Resulting Numbers: [27, 45]
Generated Node #0,0,0: 58:[27, 45] Operation: 59-14=45
Exploring Operation: 27+14=41, Resulting Numbers: [59, 41]
Generated Node #0,0,1: 58:[59, 41] Operation: 27+14=41
Exploring Operation: 59-27=32, Resulting Numbers: [14, 32]
Generated Node #0,0,2: 58:[14, 32] Operation: 59-27=32
Exploring Operation: 27-14=13, Resulting Numbers: [59, 13]
Generated Node #0,0,3: 58:[59, 13] Operation: 27-14=13
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 58:[59, 13], Operations: ['65-6=59', '27-14=13']
Exploring Operation: 59*13=767, Resulting Numbers: [767]
767,58 unequal: No Solution
Exploring Operation: 59-13=46, Resulting Numbers: [46]
46,58 unequal: No Solution
Exploring Operation: 59+13=72, Resulting Numbers: [72]
72,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[59, 41], Operations: ['65-6=59', '27+14=41']
Exploring Operation: 59+41=100, Resulting Numbers: [100]
100,58 unequal: No Solution
Exploring Operation: 59*41=2419, Resulting Numbers: [2419]
2419,58 unequal: No Solution
Exploring Operation: 59-41=18, Resulting Numbers: [18]
18,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[27, 45], Operations: ['65-6=59', '59-14=45']
Exploring Operation: 27*45=1215, Resulting Numbers: [1215]
1215,58 unequal: No Solution
Exploring Operation: 27+45=72, Resulting Numbers: [72]
72,58 unequal: No Solution
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 58:[14, 32], Operations: ['65-6=59', '59-27=32']
Exploring Operation: 14*32=448, Resulting Numbers: [448]
448,58 unequal: No Solution
Exploring Operation: 14+32=46, Resulting Numbers: [46]
46,58 unequal: No Solution
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,58 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: 58:[27, 65, 20], Operations: ['6+14=20']
Exploring Operation: 65-20=45, Resulting Numbers: [27, 45]
Generated Node #0,1,0: 58:[27, 45] Operation: 65-20=45
Exploring Operation: 27+20=47, Resulting Numbers: [65, 47]
Generated Node #0,1,1: 58:[65, 47] Operation: 27+20=47
Exploring Operation: 27-20=7, Resulting Numbers: [65, 7]
Generated Node #0,1,2: 58:[65, 7] Operation: 27-20=7
Exploring Operation: 65-27=38, Resulting Numbers: [20, 38]
Generated Node #0,1,3: 58:[20, 38] Operation: 65-27=38
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 58:[65, 7], Operations: ['6+14=20', '27-20=7']
Exploring Operation: 65+7=72, Resulting Numbers: [72]
72,58 unequal: No Solution
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[27, 6, 14, 65], Operations: []
Exploring Operation: 6+14=20, Resulting Numbers: [27, 65, 20]
Generated Node #0,1: 58:[27, 65, 20] Operation: 6+14=20
Moving to Node #0,1
Current State: 58:[27, 65, 20], Operations: ['6+14=20']
Exploring Operation: 27-20=7, Resulting Numbers: [65, 7]
Generated Node #0,1,2: 58:[65, 7] Operation: 27-20=7
Moving to Node #0,1,2
Current State: 58:[65, 7], Operations: ['6+14=20', '27-20=7']
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.956597 | hs_4 | mult_heuristic |
[
46,
56,
21,
14
] | 23 | [
"46*21=966",
"56-14=42",
"966/42=23"
] | Current State: 23:[46, 56, 21, 14], Operations: []
Exploring Operation: 46*21=966, Resulting Numbers: [56, 14, 966]
Generated Node #2: [56, 14, 966] from Operation: 46*21=966
Current State: 23:[56, 14, 966], Operations: ['46*21=966']
Exploring Operation: 56-14=42, Resulting Numbers: [966, 42]
Generated Node #3: [966, 42] from Operation: 56-14=42
Current State: 23:[966, 42], Operations: ['46*21=966', '56-14=42']
Exploring Operation: 966/42=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[46, 56, 21, 14], Operations: []
Exploring Operation: 56-46=10, Resulting Numbers: [21, 14, 10]
Generated Node #0,0: 23:[21, 14, 10] Operation: 56-46=10
Exploring Operation: 46-21=25, Resulting Numbers: [56, 14, 25]
Generated Node #0,1: 23:[56, 14, 25] Operation: 46-21=25
Moving to Node #0,0
Current State: 23:[21, 14, 10], Operations: ['56-46=10']
Exploring Operation: 14+10=24, Resulting Numbers: [21, 24]
Generated Node #0,0,0: 23:[21, 24] Operation: 14+10=24
Exploring Operation: 21+10=31, Resulting Numbers: [14, 31]
Generated Node #0,0,1: 23:[14, 31] Operation: 21+10=31
Moving to Node #0,1
Current State: 23:[56, 14, 25], Operations: ['46-21=25']
Exploring Operation: 56-14=42, Resulting Numbers: [25, 42]
Generated Node #0,1,0: 23:[25, 42] Operation: 56-14=42
Exploring Operation: 56-25=31, Resulting Numbers: [14, 31]
Generated Node #0,1,1: 23:[14, 31] Operation: 56-25=31
Moving to Node #0,0,0
Current State: 23:[21, 24], Operations: ['56-46=10', '14+10=24']
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Exploring Operation: 21+24=45, Resulting Numbers: [45]
45,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[14, 31], Operations: ['46-21=25', '56-25=31']
Exploring Operation: 14+31=45, Resulting Numbers: [45]
45,23 unequal: No Solution
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[14, 31], Operations: ['56-46=10', '21+10=31']
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,23 unequal: No Solution
Exploring Operation: 14+31=45, Resulting Numbers: [45]
45,23 unequal: No Solution
Moving to Node #0,1,0
Current State: 23:[25, 42], Operations: ['46-21=25', '56-14=42']
Exploring Operation: 25+42=67, Resulting Numbers: [67]
67,23 unequal: No Solution
Exploring Operation: 42-25=17, Resulting Numbers: [17]
17,23 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
75,
41,
50,
7
] | 51 | [
"41-7=34",
"75*34=2550",
"2550/50=51"
] | Current State: 51:[75, 41, 50, 7], Operations: []
Exploring Operation: 41-7=34, Resulting Numbers: [75, 50, 34]
Generated Node #2: [75, 50, 34] from Operation: 41-7=34
Current State: 51:[75, 50, 34], Operations: ['41-7=34']
Exploring Operation: 75*34=2550, Resulting Numbers: [50, 2550]
Generated Node #3: [50, 2550] from Operation: 75*34=2550
Current State: 51:[50, 2550], Operations: ['41-7=34', '75*34=2550']
Exploring Operation: 2550/50=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[75, 41, 50, 7], Operations: []
Exploring Operation: 75-50=25, Resulting Numbers: [41, 7, 25]
Generated Node #0,0: 51:[41, 7, 25] Operation: 75-50=25
Exploring Operation: 75-41=34, Resulting Numbers: [50, 7, 34]
Generated Node #0,1: 51:[50, 7, 34] Operation: 75-41=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[41, 7, 25], Operations: ['75-50=25']
Exploring Operation: 41+7=48, Resulting Numbers: [25, 48]
Generated Node #0,0,0: 51:[25, 48] Operation: 41+7=48
Exploring Operation: 41-25=16, Resulting Numbers: [7, 16]
Generated Node #0,0,1: 51:[7, 16] Operation: 41-25=16
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 51:[7, 16], Operations: ['75-50=25', '41-25=16']
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,51 unequal: No Solution
No 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: 51:[25, 48], Operations: ['75-50=25', '41+7=48']
Exploring Operation: 48-25=23, Resulting Numbers: [23]
23,51 unequal: No Solution
Exploring Operation: 25+48=73, Resulting Numbers: [73]
73,51 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: 51:[50, 7, 34], Operations: ['75-41=34']
Exploring Operation: 50-34=16, Resulting Numbers: [7, 16]
Generated Node #0,1,0: 51:[7, 16] Operation: 50-34=16
Exploring Operation: 7+34=41, Resulting Numbers: [50, 41]
Generated Node #0,1,1: 51:[50, 41] Operation: 7+34=41
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 51:[7, 16], Operations: ['75-41=34', '50-34=16']
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,51 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,51 unequal: No Solution
No 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: 51:[50, 41], Operations: ['75-41=34', '7+34=41']
Exploring Operation: 50+41=91, Resulting Numbers: [91]
91,51 unequal: No Solution
Exploring Operation: 50-41=9, Resulting Numbers: [9]
9,51 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
14,
2,
37,
33
] | 12 | [
"14+2=16",
"37-33=4",
"16-4=12"
] | Current State: 12:[14, 2, 37, 33], Operations: []
Exploring Operation: 14+2=16, Resulting Numbers: [37, 33, 16]
Generated Node #2: [37, 33, 16] from Operation: 14+2=16
Current State: 12:[37, 33, 16], Operations: ['14+2=16']
Exploring Operation: 37-33=4, Resulting Numbers: [16, 4]
Generated Node #3: [16, 4] from Operation: 37-33=4
Current State: 12:[16, 4], Operations: ['14+2=16', '37-33=4']
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[14, 2, 37, 33], Operations: []
Exploring Operation: 37-14=23, Resulting Numbers: [2, 33, 23]
Generated Node #0,0: 12:[2, 33, 23] Operation: 37-14=23
Exploring Operation: 33-14=19, Resulting Numbers: [2, 37, 19]
Generated Node #0,1: 12:[2, 37, 19] Operation: 33-14=19
Exploring Operation: 37-2=35, Resulting Numbers: [14, 33, 35]
Generated Node #0,2: 12:[14, 33, 35] Operation: 37-2=35
Exploring Operation: 14-2=12, Resulting Numbers: [37, 33, 12]
Generated Node #0,3: 12:[37, 33, 12] Operation: 14-2=12
Exploring Operation: 37-33=4, Resulting Numbers: [14, 2, 4]
Generated Node #0,4: 12:[14, 2, 4] Operation: 37-33=4
Moving to Node #0,4
Current State: 12:[14, 2, 4], Operations: ['37-33=4']
Exploring Operation: 14-2=12, Resulting Numbers: [4, 12]
Generated Node #0,4,0: 12:[4, 12] Operation: 14-2=12
Exploring Operation: 14-4=10, Resulting Numbers: [2, 10]
Generated Node #0,4,1: 12:[2, 10] Operation: 14-4=10
Exploring Operation: 4-2=2, Resulting Numbers: [14, 2]
Generated Node #0,4,2: 12:[14, 2] Operation: 4-2=2
Exploring Operation: 14/2=7, Resulting Numbers: [4, 7]
Generated Node #0,4,3: 12:[4, 7] Operation: 14/2=7
Exploring Operation: 2+4=6, Resulting Numbers: [14, 6]
Generated Node #0,4,4: 12:[14, 6] Operation: 2+4=6
Moving to Node #0,1
Current State: 12:[2, 37, 19], Operations: ['33-14=19']
Exploring Operation: 19-2=17, Resulting Numbers: [37, 17]
Generated Node #0,1,0: 12:[37, 17] Operation: 19-2=17
Exploring Operation: 37-19=18, Resulting Numbers: [2, 18]
Generated Node #0,1,1: 12:[2, 18] Operation: 37-19=18
Exploring Operation: 2+19=21, Resulting Numbers: [37, 21]
Generated Node #0,1,2: 12:[37, 21] Operation: 2+19=21
Exploring Operation: 2+37=39, Resulting Numbers: [19, 39]
Generated Node #0,1,3: 12:[19, 39] Operation: 2+37=39
Exploring Operation: 37-2=35, Resulting Numbers: [19, 35]
Generated Node #0,1,4: 12:[19, 35] Operation: 37-2=35
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 12:[2, 18], Operations: ['33-14=19', '37-19=18']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,12 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,12 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,12 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,12 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:[37, 17], Operations: ['33-14=19', '19-2=17']
Exploring Operation: 37+17=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,12 unequal: No Solution
Exploring Operation: 37*17=629, Resulting Numbers: [629]
629,12 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:[19, 35], Operations: ['33-14=19', '37-2=35']
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,12 unequal: No Solution
Exploring Operation: 19+35=54, Resulting Numbers: [54]
54,12 unequal: No Solution
Exploring Operation: 19*35=665, Resulting Numbers: [665]
665,12 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:[37, 21], Operations: ['33-14=19', '2+19=21']
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,12 unequal: No Solution
Exploring Operation: 37*21=777, Resulting Numbers: [777]
777,12 unequal: No Solution
Exploring Operation: 37+21=58, Resulting Numbers: [58]
58,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 12:[19, 39], Operations: ['33-14=19', '2+37=39']
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,12 unequal: No Solution
Exploring Operation: 19+39=58, Resulting Numbers: [58]
58,12 unequal: No Solution
Exploring Operation: 19*39=741, Resulting Numbers: [741]
741,12 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:[2, 33, 23], Operations: ['37-14=23']
Exploring Operation: 23-2=21, Resulting Numbers: [33, 21]
Generated Node #0,0,0: 12:[33, 21] Operation: 23-2=21
Exploring Operation: 33-2=31, Resulting Numbers: [23, 31]
Generated Node #0,0,1: 12:[23, 31] Operation: 33-2=31
Exploring Operation: 2+33=35, Resulting Numbers: [23, 35]
Generated Node #0,0,2: 12:[23, 35] Operation: 2+33=35
Exploring Operation: 33-23=10, Resulting Numbers: [2, 10]
Generated Node #0,0,3: 12:[2, 10] Operation: 33-23=10
Exploring Operation: 2+23=25, Resulting Numbers: [33, 25]
Generated Node #0,0,4: 12:[33, 25] Operation: 2+23=25
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 12:[2, 10], Operations: ['37-14=23', '33-23=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,12 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[14, 2, 37, 33], Operations: []
Exploring Operation: 37-14=23, Resulting Numbers: [2, 33, 23]
Generated Node #0,0: 12:[2, 33, 23] Operation: 37-14=23
Moving to Node #0,0
Current State: 12:[2, 33, 23], Operations: ['37-14=23']
Exploring Operation: 33-23=10, Resulting Numbers: [2, 10]
Generated Node #0,0,3: 12:[2, 10] Operation: 33-23=10
Moving to Node #0,0,3
Current State: 12:[2, 10], Operations: ['37-14=23', '33-23=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | sum_heuristic |
[
31,
65,
43,
27
] | 26 | [
"31+65=96",
"43+27=70",
"96-70=26"
] | Current State: 26:[31, 65, 43, 27], Operations: []
Exploring Operation: 31+65=96, Resulting Numbers: [43, 27, 96]
Generated Node #2: [43, 27, 96] from Operation: 31+65=96
Current State: 26:[43, 27, 96], Operations: ['31+65=96']
Exploring Operation: 43+27=70, Resulting Numbers: [96, 70]
Generated Node #3: [96, 70] from Operation: 43+27=70
Current State: 26:[96, 70], Operations: ['31+65=96', '43+27=70']
Exploring Operation: 96-70=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[31, 65, 43, 27], Operations: []
Exploring Operation: 65-31=34, Resulting Numbers: [43, 27, 34]
Generated Node #0,0: 26:[43, 27, 34] Operation: 65-31=34
Exploring Operation: 43-27=16, Resulting Numbers: [31, 65, 16]
Generated Node #0,1: 26:[31, 65, 16] Operation: 43-27=16
Exploring Operation: 65-27=38, Resulting Numbers: [31, 43, 38]
Generated Node #0,2: 26:[31, 43, 38] Operation: 65-27=38
Exploring Operation: 43-31=12, Resulting Numbers: [65, 27, 12]
Generated Node #0,3: 26:[65, 27, 12] Operation: 43-31=12
Exploring Operation: 65-43=22, Resulting Numbers: [31, 27, 22]
Generated Node #0,4: 26:[31, 27, 22] Operation: 65-43=22
Start Sub Search at level 1: Moving to Node #0,4
Current State: 26:[31, 27, 22], Operations: ['65-43=22']
Exploring Operation: 31+22=53, Resulting Numbers: [27, 53]
Generated Node #0,4,0: 26:[27, 53] Operation: 31+22=53
Exploring Operation: 31-27=4, Resulting Numbers: [22, 4]
Generated Node #0,4,1: 26:[22, 4] Operation: 31-27=4
Exploring Operation: 31-22=9, Resulting Numbers: [27, 9]
Generated Node #0,4,2: 26:[27, 9] Operation: 31-22=9
Exploring Operation: 27+22=49, Resulting Numbers: [31, 49]
Generated Node #0,4,3: 26:[31, 49] Operation: 27+22=49
Exploring Operation: 27-22=5, Resulting Numbers: [31, 5]
Generated Node #0,4,4: 26:[31, 5] Operation: 27-22=5
Moving to Node #0,4,2
Current State: 26:[27, 9], Operations: ['65-43=22', '31-22=9']
Exploring Operation: 27+9=36, Resulting Numbers: [36]
36,26 unequal: No Solution
Exploring Operation: 27*9=243, Resulting Numbers: [243]
243,26 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,26 unequal: No Solution
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,26 unequal: No Solution
Moving to Node #0,4,1
Current State: 26:[22, 4], Operations: ['65-43=22', '31-27=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,26 unequal: No Solution
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[31, 65, 43, 27], Operations: []
Exploring Operation: 65-43=22, Resulting Numbers: [31, 27, 22]
Generated Node #0,4: 26:[31, 27, 22] Operation: 65-43=22
Moving to Node #0,4
Current State: 26:[31, 27, 22], Operations: ['65-43=22']
Exploring Operation: 31-27=4, Resulting Numbers: [22, 4]
Generated Node #0,4,1: 26:[22, 4] Operation: 31-27=4
Moving to Node #0,4,1
Current State: 26:[22, 4], Operations: ['65-43=22', '31-27=4']
Exploring Operation: 22+4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
40,
85,
92,
82
] | 35 | [
"85-40=45",
"92-82=10",
"45-10=35"
] | Current State: 35:[40, 85, 92, 82], Operations: []
Exploring Operation: 85-40=45, Resulting Numbers: [92, 82, 45]
Generated Node #2: [92, 82, 45] from Operation: 85-40=45
Current State: 35:[92, 82, 45], Operations: ['85-40=45']
Exploring Operation: 92-82=10, Resulting Numbers: [45, 10]
Generated Node #3: [45, 10] from Operation: 92-82=10
Current State: 35:[45, 10], Operations: ['85-40=45', '92-82=10']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[40, 85, 92, 82], Operations: []
Exploring Operation: 92-85=7, Resulting Numbers: [40, 82, 7]
Generated Node #0,0: 35:[40, 82, 7] Operation: 92-85=7
Exploring Operation: 92-82=10, Resulting Numbers: [40, 85, 10]
Generated Node #0,1: 35:[40, 85, 10] Operation: 92-82=10
Moving to Node #0,0
Current State: 35:[40, 82, 7], Operations: ['92-85=7']
Exploring Operation: 82-40=42, Resulting Numbers: [7, 42]
Generated Node #0,0,0: 35:[7, 42] Operation: 82-40=42
Exploring Operation: 82-7=75, Resulting Numbers: [40, 75]
Generated Node #0,0,1: 35:[40, 75] Operation: 82-7=75
Moving to Node #0,1
Current State: 35:[40, 85, 10], Operations: ['92-82=10']
Exploring Operation: 85-10=75, Resulting Numbers: [40, 75]
Generated Node #0,1,0: 35:[40, 75] Operation: 85-10=75
Exploring Operation: 85-40=45, Resulting Numbers: [10, 45]
Generated Node #0,1,1: 35:[10, 45] Operation: 85-40=45
Moving to Node #0,0,0
Current State: 35:[7, 42], Operations: ['92-85=7', '82-40=42']
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[40, 85, 92, 82], Operations: []
Exploring Operation: 92-85=7, Resulting Numbers: [40, 82, 7]
Generated Node #0,0: 35:[40, 82, 7] Operation: 92-85=7
Moving to Node #0,0
Current State: 35:[40, 82, 7], Operations: ['92-85=7']
Exploring Operation: 82-40=42, Resulting Numbers: [7, 42]
Generated Node #0,0,0: 35:[7, 42] Operation: 82-40=42
Moving to Node #0,0,0
Current State: 35:[7, 42], Operations: ['92-85=7', '82-40=42']
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 0.989583 | hs_2 | mult_heuristic |
[
54,
83,
45,
51
] | 35 | [
"83-54=29",
"51-45=6",
"29+6=35"
] | Current State: 35:[54, 83, 45, 51], Operations: []
Exploring Operation: 83-54=29, Resulting Numbers: [45, 51, 29]
Generated Node #2: [45, 51, 29] from Operation: 83-54=29
Current State: 35:[45, 51, 29], Operations: ['83-54=29']
Exploring Operation: 51-45=6, Resulting Numbers: [29, 6]
Generated Node #3: [29, 6] from Operation: 51-45=6
Current State: 35:[29, 6], Operations: ['83-54=29', '51-45=6']
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[54, 83, 45, 51], Operations: []
Exploring Operation: 54-45=9, Resulting Numbers: [83, 51, 9]
Generated Node #0,0: 35:[83, 51, 9] Operation: 54-45=9
Exploring Operation: 83-54=29, Resulting Numbers: [45, 51, 29]
Generated Node #0,1: 35:[45, 51, 29] Operation: 83-54=29
Exploring Operation: 83-45=38, Resulting Numbers: [54, 51, 38]
Generated Node #0,2: 35:[54, 51, 38] Operation: 83-45=38
Exploring Operation: 54-51=3, Resulting Numbers: [83, 45, 3]
Generated Node #0,3: 35:[83, 45, 3] Operation: 54-51=3
Exploring Operation: 83-51=32, Resulting Numbers: [54, 45, 32]
Generated Node #0,4: 35:[54, 45, 32] Operation: 83-51=32
Moving to Node #0,1
Current State: 35:[45, 51, 29], Operations: ['83-54=29']
Exploring Operation: 45-29=16, Resulting Numbers: [51, 16]
Generated Node #0,1,0: 35:[51, 16] Operation: 45-29=16
Exploring Operation: 51+29=80, Resulting Numbers: [45, 80]
Generated Node #0,1,1: 35:[45, 80] Operation: 51+29=80
Exploring Operation: 45+29=74, Resulting Numbers: [51, 74]
Generated Node #0,1,2: 35:[51, 74] Operation: 45+29=74
Exploring Operation: 51-45=6, Resulting Numbers: [29, 6]
Generated Node #0,1,3: 35:[29, 6] Operation: 51-45=6
Exploring Operation: 51-29=22, Resulting Numbers: [45, 22]
Generated Node #0,1,4: 35:[45, 22] Operation: 51-29=22
Moving to Node #0,4
Current State: 35:[54, 45, 32], Operations: ['83-51=32']
Exploring Operation: 45-32=13, Resulting Numbers: [54, 13]
Generated Node #0,4,0: 35:[54, 13] Operation: 45-32=13
Exploring Operation: 45+32=77, Resulting Numbers: [54, 77]
Generated Node #0,4,1: 35:[54, 77] Operation: 45+32=77
Exploring Operation: 54-45=9, Resulting Numbers: [32, 9]
Generated Node #0,4,2: 35:[32, 9] Operation: 54-45=9
Exploring Operation: 54-32=22, Resulting Numbers: [45, 22]
Generated Node #0,4,3: 35:[45, 22] Operation: 54-32=22
Exploring Operation: 54+32=86, Resulting Numbers: [45, 86]
Generated Node #0,4,4: 35:[45, 86] Operation: 54+32=86
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 35:[32, 9], Operations: ['83-51=32', '54-45=9']
Exploring Operation: 32*9=288, Resulting Numbers: [288]
288,35 unequal: No Solution
Exploring Operation: 32+9=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 32-9=23, Resulting Numbers: [23]
23,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 35:[45, 22], Operations: ['83-51=32', '54-32=22']
Exploring Operation: 45+22=67, Resulting Numbers: [67]
67,35 unequal: No Solution
Exploring Operation: 45-22=23, Resulting Numbers: [23]
23,35 unequal: No Solution
Exploring Operation: 45*22=990, Resulting Numbers: [990]
990,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 35:[54, 13], Operations: ['83-51=32', '45-32=13']
Exploring Operation: 54*13=702, Resulting Numbers: [702]
702,35 unequal: No Solution
Exploring Operation: 54+13=67, Resulting Numbers: [67]
67,35 unequal: No Solution
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 35:[54, 77], Operations: ['83-51=32', '45+32=77']
Exploring Operation: 54+77=131, Resulting Numbers: [131]
131,35 unequal: No Solution
Exploring Operation: 77-54=23, Resulting Numbers: [23]
23,35 unequal: No Solution
Exploring Operation: 54*77=4158, Resulting Numbers: [4158]
4158,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 35:[45, 86], Operations: ['83-51=32', '54+32=86']
Exploring Operation: 45*86=3870, Resulting Numbers: [3870]
3870,35 unequal: No Solution
Exploring Operation: 45+86=131, Resulting Numbers: [131]
131,35 unequal: No Solution
Exploring Operation: 86-45=41, Resulting Numbers: [41]
41,35 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: 35:[54, 51, 38], Operations: ['83-45=38']
Exploring Operation: 54-51=3, Resulting Numbers: [38, 3]
Generated Node #0,2,0: 35:[38, 3] Operation: 54-51=3
Exploring Operation: 54+51=105, Resulting Numbers: [38, 105]
Generated Node #0,2,1: 35:[38, 105] Operation: 54+51=105
Exploring Operation: 54-38=16, Resulting Numbers: [51, 16]
Generated Node #0,2,2: 35:[51, 16] Operation: 54-38=16
Exploring Operation: 51-38=13, Resulting Numbers: [54, 13]
Generated Node #0,2,3: 35:[54, 13] Operation: 51-38=13
Exploring Operation: 54+38=92, Resulting Numbers: [51, 92]
Generated Node #0,2,4: 35:[51, 92] Operation: 54+38=92
Moving to Node #0,3
Current State: 35:[83, 45, 3], Operations: ['54-51=3']
Exploring Operation: 83+3=86, Resulting Numbers: [45, 86]
Generated Node #0,3,0: 35:[45, 86] Operation: 83+3=86
Exploring Operation: 83-3=80, Resulting Numbers: [45, 80]
Generated Node #0,3,1: 35:[45, 80] Operation: 83-3=80
Exploring Operation: 83-45=38, Resulting Numbers: [3, 38]
Generated Node #0,3,2: 35:[3, 38] Operation: 83-45=38
Exploring Operation: 45-3=42, Resulting Numbers: [83, 42]
Generated Node #0,3,3: 35:[83, 42] Operation: 45-3=42
Exploring Operation: 45/3=15, Resulting Numbers: [83, 15]
Generated Node #0,3,4: 35:[83, 15] Operation: 45/3=15
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 35:[3, 38], Operations: ['54-51=3', '83-45=38']
Exploring Operation: 3*38=114, Resulting Numbers: [114]
114,35 unequal: No Solution
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,35 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[54, 83, 45, 51], Operations: []
Exploring Operation: 54-51=3, Resulting Numbers: [83, 45, 3]
Generated Node #0,3: 35:[83, 45, 3] Operation: 54-51=3
Moving to Node #0,3
Current State: 35:[83, 45, 3], Operations: ['54-51=3']
Exploring Operation: 83-45=38, Resulting Numbers: [3, 38]
Generated Node #0,3,2: 35:[3, 38] Operation: 83-45=38
Moving to Node #0,3,2
Current State: 35:[3, 38], Operations: ['54-51=3', '83-45=38']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.959201 | hs_5 | sum_heuristic |
[
2,
75,
83,
7
] | 58 | [
"83-75=8",
"7*8=56",
"2+56=58"
] | Current State: 58:[2, 75, 83, 7], Operations: []
Exploring Operation: 83-75=8, Resulting Numbers: [2, 7, 8]
Generated Node #2: [2, 7, 8] from Operation: 83-75=8
Current State: 58:[2, 7, 8], Operations: ['83-75=8']
Exploring Operation: 7*8=56, Resulting Numbers: [2, 56]
Generated Node #3: [2, 56] from Operation: 7*8=56
Current State: 58:[2, 56], Operations: ['83-75=8', '7*8=56']
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[2, 75, 83, 7], Operations: []
Exploring Operation: 83-7=76, Resulting Numbers: [2, 75, 76]
Generated Node #0,0: 58:[2, 75, 76] Operation: 83-7=76
Exploring Operation: 75-7=68, Resulting Numbers: [2, 83, 68]
Generated Node #0,1: 58:[2, 83, 68] Operation: 75-7=68
Exploring Operation: 83-75=8, Resulting Numbers: [2, 7, 8]
Generated Node #0,2: 58:[2, 7, 8] Operation: 83-75=8
Start Sub Search at level 1: Moving to Node #0,2
Current State: 58:[2, 7, 8], Operations: ['83-75=8']
Exploring Operation: 7*8=56, Resulting Numbers: [2, 56]
Generated Node #0,2,0: 58:[2, 56] Operation: 7*8=56
Exploring Operation: 8-7=1, Resulting Numbers: [2, 1]
Generated Node #0,2,1: 58:[2, 1] Operation: 8-7=1
Exploring Operation: 8/2=4, Resulting Numbers: [7, 4]
Generated Node #0,2,2: 58:[7, 4] Operation: 8/2=4
Moving to Node #0,2,1
Current State: 58:[2, 1], Operations: ['83-75=8', '8-7=1']
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,58 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Moving to Node #0,2,0
Current State: 58:[2, 56], Operations: ['83-75=8', '7*8=56']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,58 unequal: No Solution
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[2, 75, 83, 7], Operations: []
Exploring Operation: 83-75=8, Resulting Numbers: [2, 7, 8]
Generated Node #0,2: 58:[2, 7, 8] Operation: 83-75=8
Moving to Node #0,2
Current State: 58:[2, 7, 8], Operations: ['83-75=8']
Exploring Operation: 7*8=56, Resulting Numbers: [2, 56]
Generated Node #0,2,0: 58:[2, 56] Operation: 7*8=56
Moving to Node #0,2,0
Current State: 58:[2, 56], Operations: ['83-75=8', '7*8=56']
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
60,
56,
2,
72
] | 74 | [
"60-56=4",
"72-2=70",
"4+70=74"
] | Current State: 74:[60, 56, 2, 72], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [2, 72, 4]
Generated Node #2: [2, 72, 4] from Operation: 60-56=4
Current State: 74:[2, 72, 4], Operations: ['60-56=4']
Exploring Operation: 72-2=70, Resulting Numbers: [4, 70]
Generated Node #3: [4, 70] from Operation: 72-2=70
Current State: 74:[4, 70], Operations: ['60-56=4', '72-2=70']
Exploring Operation: 4+70=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[60, 56, 2, 72], Operations: []
Exploring Operation: 72-56=16, Resulting Numbers: [60, 2, 16]
Generated Node #0,0: 74:[60, 2, 16] Operation: 72-56=16
Exploring Operation: 56/2=28, Resulting Numbers: [60, 72, 28]
Generated Node #0,1: 74:[60, 72, 28] Operation: 56/2=28
Exploring Operation: 60-56=4, Resulting Numbers: [2, 72, 4]
Generated Node #0,2: 74:[2, 72, 4] Operation: 60-56=4
Exploring Operation: 60/2=30, Resulting Numbers: [56, 72, 30]
Generated Node #0,3: 74:[56, 72, 30] Operation: 60/2=30
Exploring Operation: 72-60=12, Resulting Numbers: [56, 2, 12]
Generated Node #0,4: 74:[56, 2, 12] Operation: 72-60=12
Start Sub Search at level 1: Moving to Node #0,2
Current State: 74:[2, 72, 4], Operations: ['60-56=4']
Exploring Operation: 72+4=76, Resulting Numbers: [2, 76]
Generated Node #0,2,0: 74:[2, 76] Operation: 72+4=76
Exploring Operation: 4/2=2, Resulting Numbers: [72, 2]
Generated Node #0,2,1: 74:[72, 2] Operation: 4/2=2
Exploring Operation: 2+72=74, Resulting Numbers: [4, 74]
Generated Node #0,2,2: 74:[4, 74] Operation: 2+72=74
Exploring Operation: 72/2=36, Resulting Numbers: [4, 36]
Generated Node #0,2,3: 74:[4, 36] Operation: 72/2=36
Exploring Operation: 4-2=2, Resulting Numbers: [72, 2]
Generated Node #0,2,4: 74:[72, 2] Operation: 4-2=2
Moving to Node #0,2,0
Current State: 74:[2, 76], Operations: ['60-56=4', '72+4=76']
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,74 unequal: No Solution
Exploring Operation: 2*76=152, Resulting Numbers: [152]
152,74 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,74 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[60, 56, 2, 72], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [2, 72, 4]
Generated Node #0,2: 74:[2, 72, 4] Operation: 60-56=4
Moving to Node #0,2
Current State: 74:[2, 72, 4], Operations: ['60-56=4']
Exploring Operation: 72+4=76, Resulting Numbers: [2, 76]
Generated Node #0,2,0: 74:[2, 76] Operation: 72+4=76
Moving to Node #0,2,0
Current State: 74:[2, 76], Operations: ['60-56=4', '72+4=76']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
30,
95,
58,
53
] | 46 | [
"95-30=65",
"58+53=111",
"111-65=46"
] | Current State: 46:[30, 95, 58, 53], Operations: []
Exploring Operation: 95-30=65, Resulting Numbers: [58, 53, 65]
Generated Node #2: [58, 53, 65] from Operation: 95-30=65
Current State: 46:[58, 53, 65], Operations: ['95-30=65']
Exploring Operation: 58+53=111, Resulting Numbers: [65, 111]
Generated Node #3: [65, 111] from Operation: 58+53=111
Current State: 46:[65, 111], Operations: ['95-30=65', '58+53=111']
Exploring Operation: 111-65=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[30, 95, 58, 53], Operations: []
Exploring Operation: 95-58=37, Resulting Numbers: [30, 53, 37]
Generated Node #0,0: 46:[30, 53, 37] Operation: 95-58=37
Exploring Operation: 95-53=42, Resulting Numbers: [30, 58, 42]
Generated Node #0,1: 46:[30, 58, 42] Operation: 95-53=42
Exploring Operation: 95-30=65, Resulting Numbers: [58, 53, 65]
Generated Node #0,2: 46:[58, 53, 65] Operation: 95-30=65
Moving to Node #0,0
Current State: 46:[30, 53, 37], Operations: ['95-58=37']
Exploring Operation: 53-30=23, Resulting Numbers: [37, 23]
Generated Node #0,0,0: 46:[37, 23] Operation: 53-30=23
Exploring Operation: 37-30=7, Resulting Numbers: [53, 7]
Generated Node #0,0,1: 46:[53, 7] Operation: 37-30=7
Exploring Operation: 53-37=16, Resulting Numbers: [30, 16]
Generated Node #0,0,2: 46:[30, 16] Operation: 53-37=16
Moving to Node #0,1
Current State: 46:[30, 58, 42], Operations: ['95-53=42']
Exploring Operation: 58-30=28, Resulting Numbers: [42, 28]
Generated Node #0,1,0: 46:[42, 28] Operation: 58-30=28
Exploring Operation: 58-42=16, Resulting Numbers: [30, 16]
Generated Node #0,1,1: 46:[30, 16] Operation: 58-42=16
Exploring Operation: 42-30=12, Resulting Numbers: [58, 12]
Generated Node #0,1,2: 46:[58, 12] Operation: 42-30=12
Moving to Node #0,2
Current State: 46:[58, 53, 65], Operations: ['95-30=65']
Exploring Operation: 58-53=5, Resulting Numbers: [65, 5]
Generated Node #0,2,0: 46:[65, 5] Operation: 58-53=5
Exploring Operation: 65-53=12, Resulting Numbers: [58, 12]
Generated Node #0,2,1: 46:[58, 12] Operation: 65-53=12
Exploring Operation: 65-58=7, Resulting Numbers: [53, 7]
Generated Node #0,2,2: 46:[53, 7] Operation: 65-58=7
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 46:[53, 7], Operations: ['95-30=65', '65-58=7']
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[30, 95, 58, 53], Operations: []
Exploring Operation: 95-30=65, Resulting Numbers: [58, 53, 65]
Generated Node #0,2: 46:[58, 53, 65] Operation: 95-30=65
Moving to Node #0,2
Current State: 46:[58, 53, 65], Operations: ['95-30=65']
Exploring Operation: 65-58=7, Resulting Numbers: [53, 7]
Generated Node #0,2,2: 46:[53, 7] Operation: 65-58=7
Moving to Node #0,2,2
Current State: 46:[53, 7], Operations: ['95-30=65', '65-58=7']
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | mult_heuristic |
[
1,
99,
33,
44
] | 48 | [
"1+44=45",
"99/33=3",
"45+3=48"
] | Current State: 48:[1, 99, 33, 44], Operations: []
Exploring Operation: 1+44=45, Resulting Numbers: [99, 33, 45]
Generated Node #2: [99, 33, 45] from Operation: 1+44=45
Current State: 48:[99, 33, 45], Operations: ['1+44=45']
Exploring Operation: 99/33=3, Resulting Numbers: [45, 3]
Generated Node #3: [45, 3] from Operation: 99/33=3
Current State: 48:[45, 3], Operations: ['1+44=45', '99/33=3']
Exploring Operation: 45+3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[1, 99, 33, 44], Operations: []
Exploring Operation: 99/33=3, Resulting Numbers: [1, 44, 3]
Generated Node #0,0: 48:[1, 44, 3] Operation: 99/33=3
Exploring Operation: 99-44=55, Resulting Numbers: [1, 33, 55]
Generated Node #0,1: 48:[1, 33, 55] Operation: 99-44=55
Moving to Node #0,0
Current State: 48:[1, 44, 3], Operations: ['99/33=3']
Exploring Operation: 44+3=47, Resulting Numbers: [1, 47]
Generated Node #0,0,0: 48:[1, 47] Operation: 44+3=47
Exploring Operation: 1+44=45, Resulting Numbers: [3, 45]
Generated Node #0,0,1: 48:[3, 45] Operation: 1+44=45
Moving to Node #0,1
Current State: 48:[1, 33, 55], Operations: ['99-44=55']
Exploring Operation: 33-1=32, Resulting Numbers: [55, 32]
Generated Node #0,1,0: 48:[55, 32] Operation: 33-1=32
Exploring Operation: 55-33=22, Resulting Numbers: [1, 22]
Generated Node #0,1,1: 48:[1, 22] Operation: 55-33=22
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 48:[1, 22], Operations: ['99-44=55', '55-33=22']
Exploring Operation: 1+22=23, Resulting Numbers: [23]
23,48 unequal: No Solution
Exploring Operation: 1*22=22, Resulting Numbers: [22]
22,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 48:[55, 32], Operations: ['99-44=55', '33-1=32']
Exploring Operation: 55+32=87, Resulting Numbers: [87]
87,48 unequal: No Solution
Exploring Operation: 55-32=23, Resulting Numbers: [23]
23,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 48:[1, 47], Operations: ['99/33=3', '44+3=47']
Exploring Operation: 1*47=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 1+47=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[1, 99, 33, 44], Operations: []
Exploring Operation: 99/33=3, Resulting Numbers: [1, 44, 3]
Generated Node #0,0: 48:[1, 44, 3] Operation: 99/33=3
Moving to Node #0,0
Current State: 48:[1, 44, 3], Operations: ['99/33=3']
Exploring Operation: 44+3=47, Resulting Numbers: [1, 47]
Generated Node #0,0,0: 48:[1, 47] Operation: 44+3=47
Moving to Node #0,0,0
Current State: 48:[1, 47], Operations: ['99/33=3', '44+3=47']
Exploring Operation: 1+47=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 0.986111 | hs_2 | mult_heuristic |
[
75,
4,
62,
25
] | 48 | [
"75-62=13",
"25-13=12",
"4*12=48"
] | Current State: 48:[75, 4, 62, 25], Operations: []
Exploring Operation: 75-62=13, Resulting Numbers: [4, 25, 13]
Generated Node #2: [4, 25, 13] from Operation: 75-62=13
Current State: 48:[4, 25, 13], Operations: ['75-62=13']
Exploring Operation: 25-13=12, Resulting Numbers: [4, 12]
Generated Node #3: [4, 12] from Operation: 25-13=12
Current State: 48:[4, 12], Operations: ['75-62=13', '25-13=12']
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[75, 4, 62, 25], Operations: []
Exploring Operation: 75-62=13, Resulting Numbers: [4, 25, 13]
Generated Node #0,0: 48:[4, 25, 13] Operation: 75-62=13
Exploring Operation: 75/25=3, Resulting Numbers: [4, 62, 3]
Generated Node #0,1: 48:[4, 62, 3] Operation: 75/25=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[4, 25, 13], Operations: ['75-62=13']
Exploring Operation: 25-13=12, Resulting Numbers: [4, 12]
Generated Node #0,0,0: 48:[4, 12] Operation: 25-13=12
Exploring Operation: 4+13=17, Resulting Numbers: [25, 17]
Generated Node #0,0,1: 48:[25, 17] Operation: 4+13=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[4, 12], Operations: ['75-62=13', '25-13=12']
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[75, 4, 62, 25], Operations: []
Exploring Operation: 75-62=13, Resulting Numbers: [4, 25, 13]
Generated Node #0,0: 48:[4, 25, 13] Operation: 75-62=13
Moving to Node #0,0
Current State: 48:[4, 25, 13], Operations: ['75-62=13']
Exploring Operation: 25-13=12, Resulting Numbers: [4, 12]
Generated Node #0,0,0: 48:[4, 12] Operation: 25-13=12
Moving to Node #0,0,0
Current State: 48:[4, 12], Operations: ['75-62=13', '25-13=12']
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
23,
64,
6,
57
] | 19 | [
"64-57=7",
"6*7=42",
"42-23=19"
] | Current State: 19:[23, 64, 6, 57], Operations: []
Exploring Operation: 64-57=7, Resulting Numbers: [23, 6, 7]
Generated Node #2: [23, 6, 7] from Operation: 64-57=7
Current State: 19:[23, 6, 7], Operations: ['64-57=7']
Exploring Operation: 6*7=42, Resulting Numbers: [23, 42]
Generated Node #3: [23, 42] from Operation: 6*7=42
Current State: 19:[23, 42], Operations: ['64-57=7', '6*7=42']
Exploring Operation: 42-23=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[23, 64, 6, 57], Operations: []
Exploring Operation: 64-57=7, Resulting Numbers: [23, 6, 7]
Generated Node #0,0: 19:[23, 6, 7] Operation: 64-57=7
Moving to Node #0,0
Current State: 19:[23, 6, 7], Operations: ['64-57=7']
Exploring Operation: 6+7=13, Resulting Numbers: [23, 13]
Generated Node #0,0,0: 19:[23, 13] Operation: 6+7=13
Moving to Node #0,0,0
Current State: 19:[23, 13], Operations: ['64-57=7', '6+7=13']
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,19 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
34,
86,
5,
68
] | 47 | [
"34+86=120",
"5+68=73",
"120-73=47"
] | Current State: 47:[34, 86, 5, 68], Operations: []
Exploring Operation: 34+86=120, Resulting Numbers: [5, 68, 120]
Generated Node #2: [5, 68, 120] from Operation: 34+86=120
Current State: 47:[5, 68, 120], Operations: ['34+86=120']
Exploring Operation: 5+68=73, Resulting Numbers: [120, 73]
Generated Node #3: [120, 73] from Operation: 5+68=73
Current State: 47:[120, 73], Operations: ['34+86=120', '5+68=73']
Exploring Operation: 120-73=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[34, 86, 5, 68], Operations: []
Exploring Operation: 34+5=39, Resulting Numbers: [86, 68, 39]
Generated Node #0,0: 47:[86, 68, 39] Operation: 34+5=39
Exploring Operation: 86-34=52, Resulting Numbers: [5, 68, 52]
Generated Node #0,1: 47:[5, 68, 52] Operation: 86-34=52
Exploring Operation: 86-5=81, Resulting Numbers: [34, 68, 81]
Generated Node #0,2: 47:[34, 68, 81] Operation: 86-5=81
Moving to Node #0,0
Current State: 47:[86, 68, 39], Operations: ['34+5=39']
Exploring Operation: 86-39=47, Resulting Numbers: [68, 47]
Generated Node #0,0,0: 47:[68, 47] Operation: 86-39=47
Exploring Operation: 68-39=29, Resulting Numbers: [86, 29]
Generated Node #0,0,1: 47:[86, 29] Operation: 68-39=29
Exploring Operation: 86-68=18, Resulting Numbers: [39, 18]
Generated Node #0,0,2: 47:[39, 18] Operation: 86-68=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[68, 47], Operations: ['34+5=39', '86-39=47']
Exploring Operation: 68+47=115, Resulting Numbers: [115]
115,47 unequal: No Solution
Exploring Operation: 68*47=3196, Resulting Numbers: [3196]
3196,47 unequal: No Solution
Exploring Operation: 68-47=21, Resulting Numbers: [21]
21,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 47:[39, 18], Operations: ['34+5=39', '86-68=18']
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,47 unequal: No Solution
Exploring Operation: 39*18=702, Resulting Numbers: [702]
702,47 unequal: No Solution
Exploring Operation: 39+18=57, Resulting Numbers: [57]
57,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 47:[86, 29], Operations: ['34+5=39', '68-39=29']
Exploring Operation: 86*29=2494, Resulting Numbers: [2494]
2494,47 unequal: No Solution
Exploring Operation: 86-29=57, Resulting Numbers: [57]
57,47 unequal: No Solution
Exploring Operation: 86+29=115, Resulting Numbers: [115]
115,47 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: 47:[5, 68, 52], Operations: ['86-34=52']
Exploring Operation: 5+68=73, Resulting Numbers: [52, 73]
Generated Node #0,1,0: 47:[52, 73] Operation: 5+68=73
Exploring Operation: 52-5=47, Resulting Numbers: [68, 47]
Generated Node #0,1,1: 47:[68, 47] Operation: 52-5=47
Exploring Operation: 68-5=63, Resulting Numbers: [52, 63]
Generated Node #0,1,2: 47:[52, 63] Operation: 68-5=63
Moving to Node #0,2
Current State: 47:[34, 68, 81], Operations: ['86-5=81']
Exploring Operation: 81-34=47, Resulting Numbers: [68, 47]
Generated Node #0,2,0: 47:[68, 47] Operation: 81-34=47
Exploring Operation: 81-68=13, Resulting Numbers: [34, 13]
Generated Node #0,2,1: 47:[34, 13] Operation: 81-68=13
Exploring Operation: 68-34=34, Resulting Numbers: [81, 34]
Generated Node #0,2,2: 47:[81, 34] Operation: 68-34=34
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 47:[68, 47], Operations: ['86-5=81', '81-34=47']
Exploring Operation: 68+47=115, Resulting Numbers: [115]
115,47 unequal: No Solution
Exploring Operation: 68*47=3196, Resulting Numbers: [3196]
3196,47 unequal: No Solution
Exploring Operation: 68-47=21, Resulting Numbers: [21]
21,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 47:[34, 13], Operations: ['86-5=81', '81-68=13']
Exploring Operation: 34+13=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[34, 86, 5, 68], Operations: []
Exploring Operation: 86-5=81, Resulting Numbers: [34, 68, 81]
Generated Node #0,2: 47:[34, 68, 81] Operation: 86-5=81
Moving to Node #0,2
Current State: 47:[34, 68, 81], Operations: ['86-5=81']
Exploring Operation: 81-68=13, Resulting Numbers: [34, 13]
Generated Node #0,2,1: 47:[34, 13] Operation: 81-68=13
Moving to Node #0,2,1
Current State: 47:[34, 13], Operations: ['86-5=81', '81-68=13']
Exploring Operation: 34+13=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_3 | mult_heuristic |
[
21,
61,
66,
65
] | 40 | [
"61-21=40",
"66-65=1",
"40*1=40"
] | Current State: 40:[21, 61, 66, 65], Operations: []
Exploring Operation: 61-21=40, Resulting Numbers: [66, 65, 40]
Generated Node #2: [66, 65, 40] from Operation: 61-21=40
Current State: 40:[66, 65, 40], Operations: ['61-21=40']
Exploring Operation: 66-65=1, Resulting Numbers: [40, 1]
Generated Node #3: [40, 1] from Operation: 66-65=1
Current State: 40:[40, 1], Operations: ['61-21=40', '66-65=1']
Exploring Operation: 40*1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[21, 61, 66, 65], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [21, 65, 5]
Generated Node #0,0: 40:[21, 65, 5] Operation: 66-61=5
Exploring Operation: 66-65=1, Resulting Numbers: [21, 61, 1]
Generated Node #0,1: 40:[21, 61, 1] Operation: 66-65=1
Moving to Node #0,1
Current State: 40:[21, 61, 1], Operations: ['66-65=1']
Exploring Operation: 61-21=40, Resulting Numbers: [1, 40]
Generated Node #0,1,0: 40:[1, 40] Operation: 61-21=40
Exploring Operation: 21-1=20, Resulting Numbers: [61, 20]
Generated Node #0,1,1: 40:[61, 20] Operation: 21-1=20
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 40:[1, 40], Operations: ['66-65=1', '61-21=40']
Exploring Operation: 1*40=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[21, 61, 66, 65], Operations: []
Exploring Operation: 66-65=1, Resulting Numbers: [21, 61, 1]
Generated Node #0,1: 40:[21, 61, 1] Operation: 66-65=1
Moving to Node #0,1
Current State: 40:[21, 61, 1], Operations: ['66-65=1']
Exploring Operation: 61-21=40, Resulting Numbers: [1, 40]
Generated Node #0,1,0: 40:[1, 40] Operation: 61-21=40
Moving to Node #0,1,0
Current State: 40:[1, 40], Operations: ['66-65=1', '61-21=40']
Exploring Operation: 1*40=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
68,
6,
72,
93
] | 48 | [
"68-6=62",
"72*62=4464",
"4464/93=48"
] | Current State: 48:[68, 6, 72, 93], Operations: []
Exploring Operation: 68-6=62, Resulting Numbers: [72, 93, 62]
Generated Node #2: [72, 93, 62] from Operation: 68-6=62
Current State: 48:[72, 93, 62], Operations: ['68-6=62']
Exploring Operation: 72*62=4464, Resulting Numbers: [93, 4464]
Generated Node #3: [93, 4464] from Operation: 72*62=4464
Current State: 48:[93, 4464], Operations: ['68-6=62', '72*62=4464']
Exploring Operation: 4464/93=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[68, 6, 72, 93], Operations: []
Exploring Operation: 72/6=12, Resulting Numbers: [68, 93, 12]
Generated Node #0,0: 48:[68, 93, 12] Operation: 72/6=12
Exploring Operation: 72-68=4, Resulting Numbers: [6, 93, 4]
Generated Node #0,1: 48:[6, 93, 4] Operation: 72-68=4
Exploring Operation: 93-68=25, Resulting Numbers: [6, 72, 25]
Generated Node #0,2: 48:[6, 72, 25] Operation: 93-68=25
Exploring Operation: 93-72=21, Resulting Numbers: [68, 6, 21]
Generated Node #0,3: 48:[68, 6, 21] Operation: 93-72=21
Moving to Node #0,3
Current State: 48:[68, 6, 21], Operations: ['93-72=21']
Exploring Operation: 68-6=62, Resulting Numbers: [21, 62]
Generated Node #0,3,0: 48:[21, 62] Operation: 68-6=62
Exploring Operation: 68-21=47, Resulting Numbers: [6, 47]
Generated Node #0,3,1: 48:[6, 47] Operation: 68-21=47
Exploring Operation: 21-6=15, Resulting Numbers: [68, 15]
Generated Node #0,3,2: 48:[68, 15] Operation: 21-6=15
Exploring Operation: 6+21=27, Resulting Numbers: [68, 27]
Generated Node #0,3,3: 48:[68, 27] Operation: 6+21=27
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 48:[6, 47], Operations: ['93-72=21', '68-21=47']
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 6*47=282, Resulting Numbers: [282]
282,48 unequal: No Solution
Exploring Operation: 6+47=53, Resulting Numbers: [53]
53,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 48:[21, 62], Operations: ['93-72=21', '68-6=62']
Exploring Operation: 21+62=83, Resulting Numbers: [83]
83,48 unequal: No Solution
Exploring Operation: 62-21=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 21*62=1302, Resulting Numbers: [1302]
1302,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 48:[68, 15], Operations: ['93-72=21', '21-6=15']
Exploring Operation: 68*15=1020, Resulting Numbers: [1020]
1020,48 unequal: No Solution
Exploring Operation: 68+15=83, Resulting Numbers: [83]
83,48 unequal: No Solution
Exploring Operation: 68-15=53, Resulting Numbers: [53]
53,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 48:[68, 27], Operations: ['93-72=21', '6+21=27']
Exploring Operation: 68-27=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 68+27=95, Resulting Numbers: [95]
95,48 unequal: No Solution
Exploring Operation: 68*27=1836, Resulting Numbers: [1836]
1836,48 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: 48:[6, 72, 25], Operations: ['93-68=25']
Exploring Operation: 72/6=12, Resulting Numbers: [25, 12]
Generated Node #0,2,0: 48:[25, 12] Operation: 72/6=12
Exploring Operation: 72-25=47, Resulting Numbers: [6, 47]
Generated Node #0,2,1: 48:[6, 47] Operation: 72-25=47
Exploring Operation: 72-6=66, Resulting Numbers: [25, 66]
Generated Node #0,2,2: 48:[25, 66] Operation: 72-6=66
Exploring Operation: 25-6=19, Resulting Numbers: [72, 19]
Generated Node #0,2,3: 48:[72, 19] Operation: 25-6=19
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 48:[25, 12], Operations: ['93-68=25', '72/6=12']
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Exploring Operation: 25*12=300, Resulting Numbers: [300]
300,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 48:[6, 47], Operations: ['93-68=25', '72-25=47']
Exploring Operation: 6+47=53, Resulting Numbers: [53]
53,48 unequal: No Solution
Exploring Operation: 6*47=282, Resulting Numbers: [282]
282,48 unequal: No Solution
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 48:[25, 66], Operations: ['93-68=25', '72-6=66']
Exploring Operation: 25+66=91, Resulting Numbers: [91]
91,48 unequal: No Solution
Exploring Operation: 25*66=1650, Resulting Numbers: [1650]
1650,48 unequal: No Solution
Exploring Operation: 66-25=41, Resulting Numbers: [41]
41,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 48:[72, 19], Operations: ['93-68=25', '25-6=19']
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,48 unequal: No Solution
Exploring Operation: 72+19=91, Resulting Numbers: [91]
91,48 unequal: No Solution
Exploring Operation: 72*19=1368, Resulting Numbers: [1368]
1368,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 48:[6, 93, 4], Operations: ['72-68=4']
Exploring Operation: 6*4=24, Resulting Numbers: [93, 24]
Generated Node #0,1,0: 48:[93, 24] Operation: 6*4=24
Exploring Operation: 93-4=89, Resulting Numbers: [6, 89]
Generated Node #0,1,1: 48:[6, 89] Operation: 93-4=89
Exploring Operation: 6-4=2, Resulting Numbers: [93, 2]
Generated Node #0,1,2: 48:[93, 2] Operation: 6-4=2
Exploring Operation: 93-6=87, Resulting Numbers: [4, 87]
Generated Node #0,1,3: 48:[4, 87] Operation: 93-6=87
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 48:[4, 87], Operations: ['72-68=4', '93-6=87']
Exploring Operation: 87-4=83, Resulting Numbers: [83]
83,48 unequal: No Solution
Exploring Operation: 4+87=91, Resulting Numbers: [91]
91,48 unequal: No Solution
Exploring Operation: 4*87=348, Resulting Numbers: [348]
348,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 48:[6, 89], Operations: ['72-68=4', '93-4=89']
Exploring Operation: 6+89=95, Resulting Numbers: [95]
95,48 unequal: No Solution
Exploring Operation: 6*89=534, Resulting Numbers: [534]
534,48 unequal: No Solution
Exploring Operation: 89-6=83, Resulting Numbers: [83]
83,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 48:[93, 24], Operations: ['72-68=4', '6*4=24']
Exploring Operation: 93+24=117, Resulting Numbers: [117]
117,48 unequal: No Solution
Exploring Operation: 93-24=69, Resulting Numbers: [69]
69,48 unequal: No Solution
Exploring Operation: 93*24=2232, Resulting Numbers: [2232]
2232,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 48:[93, 2], Operations: ['72-68=4', '6-4=2']
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,48 unequal: No Solution
Exploring Operation: 93*2=186, Resulting Numbers: [186]
186,48 unequal: No Solution
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,48 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: 48:[68, 93, 12], Operations: ['72/6=12']
Exploring Operation: 93-68=25, Resulting Numbers: [12, 25]
Generated Node #0,0,0: 48:[12, 25] Operation: 93-68=25
Exploring Operation: 93-12=81, Resulting Numbers: [68, 81]
Generated Node #0,0,1: 48:[68, 81] Operation: 93-12=81
Exploring Operation: 68+12=80, Resulting Numbers: [93, 80]
Generated Node #0,0,2: 48:[93, 80] Operation: 68+12=80
Exploring Operation: 68-12=56, Resulting Numbers: [93, 56]
Generated Node #0,0,3: 48:[93, 56] Operation: 68-12=56
Moving to Node #0,0,0
Current State: 48:[12, 25], Operations: ['72/6=12', '93-68=25']
Exploring Operation: 12+25=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Exploring Operation: 12*25=300, Resulting Numbers: [300]
300,48 unequal: No Solution
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Moving to Node #0,0,3
Current State: 48:[93, 56], Operations: ['72/6=12', '68-12=56']
Exploring Operation: 93*56=5208, Resulting Numbers: [5208]
5208,48 unequal: No Solution
Exploring Operation: 93+56=149, Resulting Numbers: [149]
149,48 unequal: No Solution
Exploring Operation: 93-56=37, Resulting Numbers: [37]
37,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[68, 81], Operations: ['72/6=12', '93-12=81']
Exploring Operation: 68+81=149, Resulting Numbers: [149]
149,48 unequal: No Solution
Exploring Operation: 68*81=5508, Resulting Numbers: [5508]
5508,48 unequal: No Solution
Exploring Operation: 81-68=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Moving to Node #0,0,2
Current State: 48:[93, 80], Operations: ['72/6=12', '68+12=80']
Exploring Operation: 93+80=173, Resulting Numbers: [173]
173,48 unequal: No Solution
Exploring Operation: 93*80=7440, Resulting Numbers: [7440]
7440,48 unequal: No Solution
Exploring Operation: 93-80=13, Resulting Numbers: [13]
13,48 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
66,
26,
5,
9
] | 59 | [
"26+9=35",
"35/5=7",
"66-7=59"
] | Current State: 59:[66, 26, 5, 9], Operations: []
Exploring Operation: 26+9=35, Resulting Numbers: [66, 5, 35]
Generated Node #2: [66, 5, 35] from Operation: 26+9=35
Current State: 59:[66, 5, 35], Operations: ['26+9=35']
Exploring Operation: 35/5=7, Resulting Numbers: [66, 7]
Generated Node #3: [66, 7] from Operation: 35/5=7
Current State: 59:[66, 7], Operations: ['26+9=35', '35/5=7']
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[66, 26, 5, 9], Operations: []
Exploring Operation: 66-5=61, Resulting Numbers: [26, 9, 61]
Generated Node #0,0: 59:[26, 9, 61] Operation: 66-5=61
Exploring Operation: 5*9=45, Resulting Numbers: [66, 26, 45]
Generated Node #0,1: 59:[66, 26, 45] Operation: 5*9=45
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[66, 26, 45], Operations: ['5*9=45']
Exploring Operation: 66-26=40, Resulting Numbers: [45, 40]
Generated Node #0,1,0: 59:[45, 40] Operation: 66-26=40
Exploring Operation: 26+45=71, Resulting Numbers: [66, 71]
Generated Node #0,1,1: 59:[66, 71] Operation: 26+45=71
Moving to Node #0,1,1
Current State: 59:[66, 71], Operations: ['5*9=45', '26+45=71']
Exploring Operation: 71-66=5, Resulting Numbers: [5]
5,59 unequal: No Solution
Exploring Operation: 66+71=137, Resulting Numbers: [137]
137,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[45, 40], Operations: ['5*9=45', '66-26=40']
Exploring Operation: 45-40=5, Resulting Numbers: [5]
5,59 unequal: No Solution
Exploring Operation: 45+40=85, Resulting Numbers: [85]
85,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[26, 9, 61], Operations: ['66-5=61']
Exploring Operation: 61-9=52, Resulting Numbers: [26, 52]
Generated Node #0,0,0: 59:[26, 52] Operation: 61-9=52
Exploring Operation: 26+9=35, Resulting Numbers: [61, 35]
Generated Node #0,0,1: 59:[61, 35] Operation: 26+9=35
Moving to Node #0,0,1
Current State: 59:[61, 35], Operations: ['66-5=61', '26+9=35']
Exploring Operation: 61+35=96, Resulting Numbers: [96]
96,59 unequal: No Solution
Exploring Operation: 61-35=26, Resulting Numbers: [26]
26,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[26, 52], Operations: ['66-5=61', '61-9=52']
Exploring Operation: 26+52=78, Resulting Numbers: [78]
78,59 unequal: No Solution
Exploring Operation: 52-26=26, Resulting Numbers: [26]
26,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
33,
27,
54,
40
] | 13 | [
"54/27=2",
"40/2=20",
"33-20=13"
] | Current State: 13:[33, 27, 54, 40], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [33, 40, 2]
Generated Node #2: [33, 40, 2] from Operation: 54/27=2
Current State: 13:[33, 40, 2], Operations: ['54/27=2']
Exploring Operation: 40/2=20, Resulting Numbers: [33, 20]
Generated Node #3: [33, 20] from Operation: 40/2=20
Current State: 13:[33, 20], Operations: ['54/27=2', '40/2=20']
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[33, 27, 54, 40], Operations: []
Exploring Operation: 54-40=14, Resulting Numbers: [33, 27, 14]
Generated Node #0,0: 13:[33, 27, 14] Operation: 54-40=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[33, 27, 14], Operations: ['54-40=14']
Exploring Operation: 33-27=6, Resulting Numbers: [14, 6]
Generated Node #0,0,0: 13:[14, 6] Operation: 33-27=6
Moving to Node #0,0,0
Current State: 13:[14, 6], Operations: ['54-40=14', '33-27=6']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,13 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 |
[
14,
19,
57,
53
] | 77 | [
"14+19=33",
"57+53=110",
"110-33=77"
] | Current State: 77:[14, 19, 57, 53], Operations: []
Exploring Operation: 14+19=33, Resulting Numbers: [57, 53, 33]
Generated Node #2: [57, 53, 33] from Operation: 14+19=33
Current State: 77:[57, 53, 33], Operations: ['14+19=33']
Exploring Operation: 57+53=110, Resulting Numbers: [33, 110]
Generated Node #3: [33, 110] from Operation: 57+53=110
Current State: 77:[33, 110], Operations: ['14+19=33', '57+53=110']
Exploring Operation: 110-33=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[14, 19, 57, 53], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [14, 19, 4]
Generated Node #0,0: 77:[14, 19, 4] Operation: 57-53=4
Moving to Node #0,0
Current State: 77:[14, 19, 4], Operations: ['57-53=4']
Exploring Operation: 19*4=76, Resulting Numbers: [14, 76]
Generated Node #0,0,0: 77:[14, 76] Operation: 19*4=76
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[14, 76], Operations: ['57-53=4', '19*4=76']
Exploring Operation: 14+76=90, Resulting Numbers: [90]
90,77 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 |
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