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 |
|---|---|---|---|---|---|---|---|---|
[
60,
11,
3,
98
] | 52 | [
"60-11=49",
"3+98=101",
"101-49=52"
] | Current State: 52:[60, 11, 3, 98], Operations: []
Exploring Operation: 60-11=49, Resulting Numbers: [3, 98, 49]
Generated Node #2: [3, 98, 49] from Operation: 60-11=49
Current State: 52:[3, 98, 49], Operations: ['60-11=49']
Exploring Operation: 3+98=101, Resulting Numbers: [49, 101]
Generated Node #3: [49, 101] from Operation: 3+98=101
Current State: 52:[49, 101], Operations: ['60-11=49', '3+98=101']
Exploring Operation: 101-49=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[60, 11, 3, 98], Operations: []
Exploring Operation: 98-11=87, Resulting Numbers: [60, 3, 87]
Generated Node #0,0: 52:[60, 3, 87] Operation: 98-11=87
Exploring Operation: 98-60=38, Resulting Numbers: [11, 3, 38]
Generated Node #0,1: 52:[11, 3, 38] Operation: 98-60=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[11, 3, 38], Operations: ['98-60=38']
Exploring Operation: 38-11=27, Resulting Numbers: [3, 27]
Generated Node #0,1,0: 52:[3, 27] Operation: 38-11=27
Exploring Operation: 11+38=49, Resulting Numbers: [3, 49]
Generated Node #0,1,1: 52:[3, 49] Operation: 11+38=49
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 52:[3, 27], Operations: ['98-60=38', '38-11=27']
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,52 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 52:[3, 49], Operations: ['98-60=38', '11+38=49']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,52 unequal: No Solution
Exploring Operation: 3+49=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[60, 11, 3, 98], Operations: []
Exploring Operation: 98-60=38, Resulting Numbers: [11, 3, 38]
Generated Node #0,1: 52:[11, 3, 38] Operation: 98-60=38
Moving to Node #0,1
Current State: 52:[11, 3, 38], Operations: ['98-60=38']
Exploring Operation: 11+38=49, Resulting Numbers: [3, 49]
Generated Node #0,1,1: 52:[3, 49] Operation: 11+38=49
Moving to Node #0,1,1
Current State: 52:[3, 49], Operations: ['98-60=38', '11+38=49']
Exploring Operation: 3+49=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
50,
81,
74,
55
] | 15 | [
"50+55=105",
"81-74=7",
"105/7=15"
] | Current State: 15:[50, 81, 74, 55], Operations: []
Exploring Operation: 50+55=105, Resulting Numbers: [81, 74, 105]
Generated Node #2: [81, 74, 105] from Operation: 50+55=105
Current State: 15:[81, 74, 105], Operations: ['50+55=105']
Exploring Operation: 81-74=7, Resulting Numbers: [105, 7]
Generated Node #3: [105, 7] from Operation: 81-74=7
Current State: 15:[105, 7], Operations: ['50+55=105', '81-74=7']
Exploring Operation: 105/7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[50, 81, 74, 55], Operations: []
Exploring Operation: 81-74=7, Resulting Numbers: [50, 55, 7]
Generated Node #0,0: 15:[50, 55, 7] Operation: 81-74=7
Moving to Node #0,0
Current State: 15:[50, 55, 7], Operations: ['81-74=7']
Exploring Operation: 55-50=5, Resulting Numbers: [7, 5]
Generated Node #0,0,0: 15:[7, 5] Operation: 55-50=5
Moving to Node #0,0,0
Current State: 15:[7, 5], Operations: ['81-74=7', '55-50=5']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,15 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
12,
54,
2,
71
] | 23 | [
"12/2=6",
"71-54=17",
"6+17=23"
] | Current State: 23:[12, 54, 2, 71], Operations: []
Exploring Operation: 12/2=6, Resulting Numbers: [54, 71, 6]
Generated Node #2: [54, 71, 6] from Operation: 12/2=6
Current State: 23:[54, 71, 6], Operations: ['12/2=6']
Exploring Operation: 71-54=17, Resulting Numbers: [6, 17]
Generated Node #3: [6, 17] from Operation: 71-54=17
Current State: 23:[6, 17], Operations: ['12/2=6', '71-54=17']
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[12, 54, 2, 71], Operations: []
Exploring Operation: 12*2=24, Resulting Numbers: [54, 71, 24]
Generated Node #0,0: 23:[54, 71, 24] Operation: 12*2=24
Exploring Operation: 71-54=17, Resulting Numbers: [12, 2, 17]
Generated Node #0,1: 23:[12, 2, 17] Operation: 71-54=17
Exploring Operation: 54/2=27, Resulting Numbers: [12, 71, 27]
Generated Node #0,2: 23:[12, 71, 27] Operation: 54/2=27
Exploring Operation: 54-12=42, Resulting Numbers: [2, 71, 42]
Generated Node #0,3: 23:[2, 71, 42] Operation: 54-12=42
Exploring Operation: 12+2=14, Resulting Numbers: [54, 71, 14]
Generated Node #0,4: 23:[54, 71, 14] Operation: 12+2=14
Start Sub Search at level 1: Moving to Node #0,1
Current State: 23:[12, 2, 17], Operations: ['71-54=17']
Exploring Operation: 12*2=24, Resulting Numbers: [17, 24]
Generated Node #0,1,0: 23:[17, 24] Operation: 12*2=24
Exploring Operation: 17-2=15, Resulting Numbers: [12, 15]
Generated Node #0,1,1: 23:[12, 15] Operation: 17-2=15
Exploring Operation: 12-2=10, Resulting Numbers: [17, 10]
Generated Node #0,1,2: 23:[17, 10] Operation: 12-2=10
Exploring Operation: 12+2=14, Resulting Numbers: [17, 14]
Generated Node #0,1,3: 23:[17, 14] Operation: 12+2=14
Exploring Operation: 2+17=19, Resulting Numbers: [12, 19]
Generated Node #0,1,4: 23:[12, 19] Operation: 2+17=19
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 23:[17, 24], Operations: ['71-54=17', '12*2=24']
Exploring Operation: 17*24=408, Resulting Numbers: [408]
408,23 unequal: No Solution
Exploring Operation: 24-17=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Exploring Operation: 17+24=41, Resulting Numbers: [41]
41,23 unequal: No Solution
No 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: 23:[17, 14], Operations: ['71-54=17', '12+2=14']
Exploring Operation: 17+14=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Exploring Operation: 17*14=238, Resulting Numbers: [238]
238,23 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,23 unequal: No Solution
No 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: 23:[12, 19], Operations: ['71-54=17', '2+17=19']
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Exploring Operation: 12*19=228, Resulting Numbers: [228]
228,23 unequal: No Solution
No 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: 23:[12, 15], Operations: ['71-54=17', '17-2=15']
Exploring Operation: 12*15=180, Resulting Numbers: [180]
180,23 unequal: No Solution
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,23 unequal: No Solution
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,23 unequal: No Solution
No 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: 23:[17, 10], Operations: ['71-54=17', '12-2=10']
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Exploring Operation: 17*10=170, Resulting Numbers: [170]
170,23 unequal: No Solution
Exploring Operation: 17+10=27, Resulting Numbers: [27]
27,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 23:[12, 71, 27], Operations: ['54/2=27']
Exploring Operation: 12+27=39, Resulting Numbers: [71, 39]
Generated Node #0,2,0: 23:[71, 39] Operation: 12+27=39
Exploring Operation: 12+71=83, Resulting Numbers: [27, 83]
Generated Node #0,2,1: 23:[27, 83] Operation: 12+71=83
Exploring Operation: 71-12=59, Resulting Numbers: [27, 59]
Generated Node #0,2,2: 23:[27, 59] Operation: 71-12=59
Exploring Operation: 27-12=15, Resulting Numbers: [71, 15]
Generated Node #0,2,3: 23:[71, 15] Operation: 27-12=15
Exploring Operation: 71-27=44, Resulting Numbers: [12, 44]
Generated Node #0,2,4: 23:[12, 44] Operation: 71-27=44
Moving to Node #0,2,4
Current State: 23:[12, 44], Operations: ['54/2=27', '71-27=44']
Exploring Operation: 12+44=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 44-12=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Exploring Operation: 12*44=528, Resulting Numbers: [528]
528,23 unequal: No Solution
Moving to Node #0,2,2
Current State: 23:[27, 59], Operations: ['54/2=27', '71-12=59']
Exploring Operation: 27*59=1593, Resulting Numbers: [1593]
1593,23 unequal: No Solution
Exploring Operation: 59-27=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Exploring Operation: 27+59=86, Resulting Numbers: [86]
86,23 unequal: No Solution
Moving to Node #0,2,3
Current State: 23:[71, 15], Operations: ['54/2=27', '27-12=15']
Exploring Operation: 71*15=1065, Resulting Numbers: [1065]
1065,23 unequal: No Solution
Exploring Operation: 71-15=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 71+15=86, Resulting Numbers: [86]
86,23 unequal: No Solution
Moving to Node #0,2,0
Current State: 23:[71, 39], Operations: ['54/2=27', '12+27=39']
Exploring Operation: 71+39=110, Resulting Numbers: [110]
110,23 unequal: No Solution
Exploring Operation: 71*39=2769, Resulting Numbers: [2769]
2769,23 unequal: No Solution
Exploring Operation: 71-39=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Moving to Node #0,2,1
Current State: 23:[27, 83], Operations: ['54/2=27', '12+71=83']
Exploring Operation: 27+83=110, Resulting Numbers: [110]
110,23 unequal: No Solution
Exploring Operation: 27*83=2241, Resulting Numbers: [2241]
2241,23 unequal: No Solution
Exploring Operation: 83-27=56, Resulting Numbers: [56]
56,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[54, 71, 24], Operations: ['12*2=24']
Exploring Operation: 71-54=17, Resulting Numbers: [24, 17]
Generated Node #0,0,0: 23:[24, 17] Operation: 71-54=17
Exploring Operation: 54+71=125, Resulting Numbers: [24, 125]
Generated Node #0,0,1: 23:[24, 125] Operation: 54+71=125
Exploring Operation: 54+24=78, Resulting Numbers: [71, 78]
Generated Node #0,0,2: 23:[71, 78] Operation: 54+24=78
Exploring Operation: 71-24=47, Resulting Numbers: [54, 47]
Generated Node #0,0,3: 23:[54, 47] Operation: 71-24=47
Exploring Operation: 54-24=30, Resulting Numbers: [71, 30]
Generated Node #0,0,4: 23:[71, 30] Operation: 54-24=30
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 23:[24, 17], Operations: ['12*2=24', '71-54=17']
Exploring Operation: 24-17=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Exploring Operation: 24+17=41, Resulting Numbers: [41]
41,23 unequal: No Solution
Exploring Operation: 24*17=408, Resulting Numbers: [408]
408,23 unequal: No Solution
No 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: 23:[54, 47], Operations: ['12*2=24', '71-24=47']
Exploring Operation: 54*47=2538, Resulting Numbers: [2538]
2538,23 unequal: No Solution
Exploring Operation: 54+47=101, Resulting Numbers: [101]
101,23 unequal: No Solution
Exploring Operation: 54-47=7, Resulting Numbers: [7]
7,23 unequal: No Solution
No 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: 23:[71, 30], Operations: ['12*2=24', '54-24=30']
Exploring Operation: 71+30=101, Resulting Numbers: [101]
101,23 unequal: No Solution
Exploring Operation: 71-30=41, Resulting Numbers: [41]
41,23 unequal: No Solution
Exploring Operation: 71*30=2130, Resulting Numbers: [2130]
2130,23 unequal: No Solution
No 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: 23:[24, 125], Operations: ['12*2=24', '54+71=125']
Exploring Operation: 24*125=3000, Resulting Numbers: [3000]
3000,23 unequal: No Solution
Exploring Operation: 125-24=101, Resulting Numbers: [101]
101,23 unequal: No Solution
Exploring Operation: 24+125=149, Resulting Numbers: [149]
149,23 unequal: No Solution
No 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: 23:[71, 78], Operations: ['12*2=24', '54+24=78']
Exploring Operation: 71*78=5538, Resulting Numbers: [5538]
5538,23 unequal: No Solution
Exploring Operation: 78-71=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Exploring Operation: 71+78=149, Resulting Numbers: [149]
149,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 23:[2, 71, 42], Operations: ['54-12=42']
Exploring Operation: 71-2=69, Resulting Numbers: [42, 69]
Generated Node #0,3,0: 23:[42, 69] Operation: 71-2=69
Exploring Operation: 2+71=73, Resulting Numbers: [42, 73]
Generated Node #0,3,1: 23:[42, 73] Operation: 2+71=73
Exploring Operation: 71-42=29, Resulting Numbers: [2, 29]
Generated Node #0,3,2: 23:[2, 29] Operation: 71-42=29
Exploring Operation: 42/2=21, Resulting Numbers: [71, 21]
Generated Node #0,3,3: 23:[71, 21] Operation: 42/2=21
Exploring Operation: 42-2=40, Resulting Numbers: [71, 40]
Generated Node #0,3,4: 23:[71, 40] Operation: 42-2=40
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 23:[2, 29], Operations: ['54-12=42', '71-42=29']
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,23 unequal: No Solution
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,23 unequal: No Solution
No 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: 23:[71, 21], Operations: ['54-12=42', '42/2=21']
Exploring Operation: 71+21=92, Resulting Numbers: [92]
92,23 unequal: No Solution
Exploring Operation: 71*21=1491, Resulting Numbers: [1491]
1491,23 unequal: No Solution
Exploring Operation: 71-21=50, Resulting Numbers: [50]
50,23 unequal: No Solution
No 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: 23:[42, 69], Operations: ['54-12=42', '71-2=69']
Exploring Operation: 42*69=2898, Resulting Numbers: [2898]
2898,23 unequal: No Solution
Exploring Operation: 69-42=27, Resulting Numbers: [27]
27,23 unequal: No Solution
Exploring Operation: 42+69=111, Resulting Numbers: [111]
111,23 unequal: No Solution
No 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: 23:[71, 40], Operations: ['54-12=42', '42-2=40']
Exploring Operation: 71*40=2840, Resulting Numbers: [2840]
2840,23 unequal: No Solution
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Exploring Operation: 71+40=111, Resulting Numbers: [111]
111,23 unequal: No Solution
No 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: 23:[42, 73], Operations: ['54-12=42', '2+71=73']
Exploring Operation: 73-42=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Exploring Operation: 42+73=115, Resulting Numbers: [115]
115,23 unequal: No Solution
Exploring Operation: 42*73=3066, Resulting Numbers: [3066]
3066,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 23:[54, 71, 14], Operations: ['12+2=14']
Exploring Operation: 71-14=57, Resulting Numbers: [54, 57]
Generated Node #0,4,0: 23:[54, 57] Operation: 71-14=57
Exploring Operation: 54+14=68, Resulting Numbers: [71, 68]
Generated Node #0,4,1: 23:[71, 68] Operation: 54+14=68
Exploring Operation: 71+14=85, Resulting Numbers: [54, 85]
Generated Node #0,4,2: 23:[54, 85] Operation: 71+14=85
Exploring Operation: 71-54=17, Resulting Numbers: [14, 17]
Generated Node #0,4,3: 23:[14, 17] Operation: 71-54=17
Exploring Operation: 54-14=40, Resulting Numbers: [71, 40]
Generated Node #0,4,4: 23:[71, 40] Operation: 54-14=40
Moving to Node #0,4,3
Current State: 23:[14, 17], Operations: ['12+2=14', '71-54=17']
Exploring Operation: 14+17=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Exploring Operation: 14*17=238, Resulting Numbers: [238]
238,23 unequal: No Solution
Moving to Node #0,4,4
Current State: 23:[71, 40], Operations: ['12+2=14', '54-14=40']
Exploring Operation: 71+40=111, Resulting Numbers: [111]
111,23 unequal: No Solution
Exploring Operation: 71*40=2840, Resulting Numbers: [2840]
2840,23 unequal: No Solution
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Moving to Node #0,4,0
Current State: 23:[54, 57], Operations: ['12+2=14', '71-14=57']
Exploring Operation: 54*57=3078, Resulting Numbers: [3078]
3078,23 unequal: No Solution
Exploring Operation: 54+57=111, Resulting Numbers: [111]
111,23 unequal: No Solution
Exploring Operation: 57-54=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Moving to Node #0,4,1
Current State: 23:[71, 68], Operations: ['12+2=14', '54+14=68']
Exploring Operation: 71-68=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Exploring Operation: 71+68=139, Resulting Numbers: [139]
139,23 unequal: No Solution
Exploring Operation: 71*68=4828, Resulting Numbers: [4828]
4828,23 unequal: No Solution
Moving to Node #0,4,2
Current State: 23:[54, 85], Operations: ['12+2=14', '71+14=85']
Exploring Operation: 54+85=139, Resulting Numbers: [139]
139,23 unequal: No Solution
Exploring Operation: 85-54=31, Resulting Numbers: [31]
31,23 unequal: No Solution
Exploring Operation: 54*85=4590, Resulting Numbers: [4590]
4590,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
83,
77,
78,
27
] | 58 | [
"83-78=5",
"27*5=135",
"135-77=58"
] | Current State: 58:[83, 77, 78, 27], Operations: []
Exploring Operation: 83-78=5, Resulting Numbers: [77, 27, 5]
Generated Node #2: [77, 27, 5] from Operation: 83-78=5
Current State: 58:[77, 27, 5], Operations: ['83-78=5']
Exploring Operation: 27*5=135, Resulting Numbers: [77, 135]
Generated Node #3: [77, 135] from Operation: 27*5=135
Current State: 58:[77, 135], Operations: ['83-78=5', '27*5=135']
Exploring Operation: 135-77=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[83, 77, 78, 27], Operations: []
Exploring Operation: 83-77=6, Resulting Numbers: [78, 27, 6]
Generated Node #0,0: 58:[78, 27, 6] Operation: 83-77=6
Exploring Operation: 83-78=5, Resulting Numbers: [77, 27, 5]
Generated Node #0,1: 58:[77, 27, 5] Operation: 83-78=5
Exploring Operation: 78-77=1, Resulting Numbers: [83, 27, 1]
Generated Node #0,2: 58:[83, 27, 1] Operation: 78-77=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[77, 27, 5], Operations: ['83-78=5']
Exploring Operation: 77-27=50, Resulting Numbers: [5, 50]
Generated Node #0,1,0: 58:[5, 50] Operation: 77-27=50
Exploring Operation: 27+5=32, Resulting Numbers: [77, 32]
Generated Node #0,1,1: 58:[77, 32] Operation: 27+5=32
Exploring Operation: 77-5=72, Resulting Numbers: [27, 72]
Generated Node #0,1,2: 58:[27, 72] Operation: 77-5=72
Moving to Node #0,1,0
Current State: 58:[5, 50], Operations: ['83-78=5', '77-27=50']
Exploring Operation: 5+50=55, Resulting Numbers: [55]
55,58 unequal: No Solution
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,58 unequal: No Solution
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[27, 72], Operations: ['83-78=5', '77-5=72']
Exploring Operation: 27*72=1944, Resulting Numbers: [1944]
1944,58 unequal: No Solution
Exploring Operation: 27+72=99, Resulting Numbers: [99]
99,58 unequal: No Solution
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[77, 32], Operations: ['83-78=5', '27+5=32']
Exploring Operation: 77-32=45, Resulting Numbers: [45]
45,58 unequal: No Solution
Exploring Operation: 77*32=2464, Resulting Numbers: [2464]
2464,58 unequal: No Solution
Exploring Operation: 77+32=109, Resulting Numbers: [109]
109,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[78, 27, 6], Operations: ['83-77=6']
Exploring Operation: 78-6=72, Resulting Numbers: [27, 72]
Generated Node #0,0,0: 58:[27, 72] Operation: 78-6=72
Exploring Operation: 78/6=13, Resulting Numbers: [27, 13]
Generated Node #0,0,1: 58:[27, 13] Operation: 78/6=13
Exploring Operation: 78-27=51, Resulting Numbers: [6, 51]
Generated Node #0,0,2: 58:[6, 51] Operation: 78-27=51
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 58:[6, 51], Operations: ['83-77=6', '78-27=51']
Exploring Operation: 6+51=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 6*51=306, Resulting Numbers: [306]
306,58 unequal: No Solution
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 58:[27, 13], Operations: ['83-77=6', '78/6=13']
Exploring Operation: 27+13=40, Resulting Numbers: [40]
40,58 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,58 unequal: No Solution
Exploring Operation: 27*13=351, Resulting Numbers: [351]
351,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[27, 72], Operations: ['83-77=6', '78-6=72']
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,58 unequal: No Solution
Exploring Operation: 27+72=99, Resulting Numbers: [99]
99,58 unequal: No Solution
Exploring Operation: 27*72=1944, Resulting Numbers: [1944]
1944,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 58:[83, 27, 1], Operations: ['78-77=1']
Exploring Operation: 83-1=82, Resulting Numbers: [27, 82]
Generated Node #0,2,0: 58:[27, 82] Operation: 83-1=82
Exploring Operation: 27+1=28, Resulting Numbers: [83, 28]
Generated Node #0,2,1: 58:[83, 28] Operation: 27+1=28
Exploring Operation: 83-27=56, Resulting Numbers: [1, 56]
Generated Node #0,2,2: 58:[1, 56] Operation: 83-27=56
Moving to Node #0,2,2
Current State: 58:[1, 56], Operations: ['78-77=1', '83-27=56']
Exploring Operation: 56/1=56, Resulting Numbers: [56]
56,58 unequal: No Solution
Exploring Operation: 1+56=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 1*56=56, Resulting Numbers: [56]
56,58 unequal: No Solution
Moving to Node #0,2,0
Current State: 58:[27, 82], Operations: ['78-77=1', '83-1=82']
Exploring Operation: 27+82=109, Resulting Numbers: [109]
109,58 unequal: No Solution
Exploring Operation: 27*82=2214, Resulting Numbers: [2214]
2214,58 unequal: No Solution
Exploring Operation: 82-27=55, Resulting Numbers: [55]
55,58 unequal: No Solution
Moving to Node #0,2,1
Current State: 58:[83, 28], Operations: ['78-77=1', '27+1=28']
Exploring Operation: 83+28=111, Resulting Numbers: [111]
111,58 unequal: No Solution
Exploring Operation: 83-28=55, Resulting Numbers: [55]
55,58 unequal: No Solution
Exploring Operation: 83*28=2324, Resulting Numbers: [2324]
2324,58 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 |
[
15,
22,
46,
75
] | 84 | [
"15+22=37",
"46+75=121",
"121-37=84"
] | Current State: 84:[15, 22, 46, 75], Operations: []
Exploring Operation: 15+22=37, Resulting Numbers: [46, 75, 37]
Generated Node #2: [46, 75, 37] from Operation: 15+22=37
Current State: 84:[46, 75, 37], Operations: ['15+22=37']
Exploring Operation: 46+75=121, Resulting Numbers: [37, 121]
Generated Node #3: [37, 121] from Operation: 46+75=121
Current State: 84:[37, 121], Operations: ['15+22=37', '46+75=121']
Exploring Operation: 121-37=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[15, 22, 46, 75], Operations: []
Exploring Operation: 75-46=29, Resulting Numbers: [15, 22, 29]
Generated Node #0,0: 84:[15, 22, 29] Operation: 75-46=29
Moving to Node #0,0
Current State: 84:[15, 22, 29], Operations: ['75-46=29']
Exploring Operation: 22-15=7, Resulting Numbers: [29, 7]
Generated Node #0,0,0: 84:[29, 7] Operation: 22-15=7
Moving to Node #0,0,0
Current State: 84:[29, 7], Operations: ['75-46=29', '22-15=7']
Exploring Operation: 29-7=22, Resulting Numbers: [22]
22,84 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
82,
97,
78,
99
] | 43 | [
"99-97=2",
"78/2=39",
"82-39=43"
] | Current State: 43:[82, 97, 78, 99], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [82, 78, 2]
Generated Node #2: [82, 78, 2] from Operation: 99-97=2
Current State: 43:[82, 78, 2], Operations: ['99-97=2']
Exploring Operation: 78/2=39, Resulting Numbers: [82, 39]
Generated Node #3: [82, 39] from Operation: 78/2=39
Current State: 43:[82, 39], Operations: ['99-97=2', '78/2=39']
Exploring Operation: 82-39=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[82, 97, 78, 99], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [82, 78, 2]
Generated Node #0,0: 43:[82, 78, 2] Operation: 99-97=2
Exploring Operation: 99-78=21, Resulting Numbers: [82, 97, 21]
Generated Node #0,1: 43:[82, 97, 21] Operation: 99-78=21
Exploring Operation: 97-78=19, Resulting Numbers: [82, 99, 19]
Generated Node #0,2: 43:[82, 99, 19] Operation: 97-78=19
Exploring Operation: 99-82=17, Resulting Numbers: [97, 78, 17]
Generated Node #0,3: 43:[97, 78, 17] Operation: 99-82=17
Exploring Operation: 97-82=15, Resulting Numbers: [78, 99, 15]
Generated Node #0,4: 43:[78, 99, 15] Operation: 97-82=15
Moving to Node #0,0
Current State: 43:[82, 78, 2], Operations: ['99-97=2']
Exploring Operation: 78/2=39, Resulting Numbers: [82, 39]
Generated Node #0,0,0: 43:[82, 39] Operation: 78/2=39
Exploring Operation: 82-2=80, Resulting Numbers: [78, 80]
Generated Node #0,0,1: 43:[78, 80] Operation: 82-2=80
Exploring Operation: 82/2=41, Resulting Numbers: [78, 41]
Generated Node #0,0,2: 43:[78, 41] Operation: 82/2=41
Exploring Operation: 78-2=76, Resulting Numbers: [82, 76]
Generated Node #0,0,3: 43:[82, 76] Operation: 78-2=76
Exploring Operation: 82+2=84, Resulting Numbers: [78, 84]
Generated Node #0,0,4: 43:[78, 84] Operation: 82+2=84
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 43:[78, 41], Operations: ['99-97=2', '82/2=41']
Exploring Operation: 78-41=37, Resulting Numbers: [37]
37,43 unequal: No Solution
Exploring Operation: 78*41=3198, Resulting Numbers: [3198]
3198,43 unequal: No Solution
Exploring Operation: 78+41=119, Resulting Numbers: [119]
119,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 43:[82, 39], Operations: ['99-97=2', '78/2=39']
Exploring Operation: 82*39=3198, Resulting Numbers: [3198]
3198,43 unequal: No Solution
Exploring Operation: 82+39=121, Resulting Numbers: [121]
121,43 unequal: No Solution
Exploring Operation: 82-39=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[82, 97, 78, 99], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [82, 78, 2]
Generated Node #0,0: 43:[82, 78, 2] Operation: 99-97=2
Moving to Node #0,0
Current State: 43:[82, 78, 2], Operations: ['99-97=2']
Exploring Operation: 78/2=39, Resulting Numbers: [82, 39]
Generated Node #0,0,0: 43:[82, 39] Operation: 78/2=39
Moving to Node #0,0,0
Current State: 43:[82, 39], Operations: ['99-97=2', '78/2=39']
Exploring Operation: 82-39=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
35,
52,
65,
61
] | 21 | [
"52-35=17",
"65-61=4",
"17+4=21"
] | Current State: 21:[35, 52, 65, 61], Operations: []
Exploring Operation: 52-35=17, Resulting Numbers: [65, 61, 17]
Generated Node #2: [65, 61, 17] from Operation: 52-35=17
Current State: 21:[65, 61, 17], Operations: ['52-35=17']
Exploring Operation: 65-61=4, Resulting Numbers: [17, 4]
Generated Node #3: [17, 4] from Operation: 65-61=4
Current State: 21:[17, 4], Operations: ['52-35=17', '65-61=4']
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[35, 52, 65, 61], Operations: []
Exploring Operation: 65-61=4, Resulting Numbers: [35, 52, 4]
Generated Node #0,0: 21:[35, 52, 4] Operation: 65-61=4
Exploring Operation: 61-52=9, Resulting Numbers: [35, 65, 9]
Generated Node #0,1: 21:[35, 65, 9] Operation: 61-52=9
Exploring Operation: 65-52=13, Resulting Numbers: [35, 61, 13]
Generated Node #0,2: 21:[35, 61, 13] Operation: 65-52=13
Exploring Operation: 65-35=30, Resulting Numbers: [52, 61, 30]
Generated Node #0,3: 21:[52, 61, 30] Operation: 65-35=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[35, 52, 4], Operations: ['65-61=4']
Exploring Operation: 52-4=48, Resulting Numbers: [35, 48]
Generated Node #0,0,0: 21:[35, 48] Operation: 52-4=48
Exploring Operation: 35-4=31, Resulting Numbers: [52, 31]
Generated Node #0,0,1: 21:[52, 31] Operation: 35-4=31
Exploring Operation: 52-35=17, Resulting Numbers: [4, 17]
Generated Node #0,0,2: 21:[4, 17] Operation: 52-35=17
Exploring Operation: 52/4=13, Resulting Numbers: [35, 13]
Generated Node #0,0,3: 21:[35, 13] Operation: 52/4=13
Moving to Node #0,0,2
Current State: 21:[4, 17], Operations: ['65-61=4', '52-35=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,21 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,21 unequal: No Solution
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[35, 52, 65, 61], Operations: []
Exploring Operation: 65-61=4, Resulting Numbers: [35, 52, 4]
Generated Node #0,0: 21:[35, 52, 4] Operation: 65-61=4
Moving to Node #0,0
Current State: 21:[35, 52, 4], Operations: ['65-61=4']
Exploring Operation: 52-35=17, Resulting Numbers: [4, 17]
Generated Node #0,0,2: 21:[4, 17] Operation: 52-35=17
Moving to Node #0,0,2
Current State: 21:[4, 17], Operations: ['65-61=4', '52-35=17']
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
28,
56,
94,
69
] | 50 | [
"56/28=2",
"94-69=25",
"2*25=50"
] | Current State: 50:[28, 56, 94, 69], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [94, 69, 2]
Generated Node #2: [94, 69, 2] from Operation: 56/28=2
Current State: 50:[94, 69, 2], Operations: ['56/28=2']
Exploring Operation: 94-69=25, Resulting Numbers: [2, 25]
Generated Node #3: [2, 25] from Operation: 94-69=25
Current State: 50:[2, 25], Operations: ['56/28=2', '94-69=25']
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[28, 56, 94, 69], Operations: []
Exploring Operation: 94-69=25, Resulting Numbers: [28, 56, 25]
Generated Node #0,0: 50:[28, 56, 25] Operation: 94-69=25
Exploring Operation: 94-56=38, Resulting Numbers: [28, 69, 38]
Generated Node #0,1: 50:[28, 69, 38] Operation: 94-56=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[28, 56, 25], Operations: ['94-69=25']
Exploring Operation: 56-28=28, Resulting Numbers: [25, 28]
Generated Node #0,0,0: 50:[25, 28] Operation: 56-28=28
Exploring Operation: 56/28=2, Resulting Numbers: [25, 2]
Generated Node #0,0,1: 50:[25, 2] Operation: 56/28=2
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 50:[25, 2], Operations: ['94-69=25', '56/28=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[28, 56, 94, 69], Operations: []
Exploring Operation: 94-69=25, Resulting Numbers: [28, 56, 25]
Generated Node #0,0: 50:[28, 56, 25] Operation: 94-69=25
Moving to Node #0,0
Current State: 50:[28, 56, 25], Operations: ['94-69=25']
Exploring Operation: 56/28=2, Resulting Numbers: [25, 2]
Generated Node #0,0,1: 50:[25, 2] Operation: 56/28=2
Moving to Node #0,0,1
Current State: 50:[25, 2], Operations: ['94-69=25', '56/28=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
88,
87,
45,
10
] | 36 | [
"88-87=1",
"45-10=35",
"1+35=36"
] | Current State: 36:[88, 87, 45, 10], Operations: []
Exploring Operation: 88-87=1, Resulting Numbers: [45, 10, 1]
Generated Node #2: [45, 10, 1] from Operation: 88-87=1
Current State: 36:[45, 10, 1], Operations: ['88-87=1']
Exploring Operation: 45-10=35, Resulting Numbers: [1, 35]
Generated Node #3: [1, 35] from Operation: 45-10=35
Current State: 36:[1, 35], Operations: ['88-87=1', '45-10=35']
Exploring Operation: 1+35=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[88, 87, 45, 10], Operations: []
Exploring Operation: 88-45=43, Resulting Numbers: [87, 10, 43]
Generated Node #0,0: 36:[87, 10, 43] Operation: 88-45=43
Exploring Operation: 88-87=1, Resulting Numbers: [45, 10, 1]
Generated Node #0,1: 36:[45, 10, 1] Operation: 88-87=1
Moving to Node #0,1
Current State: 36:[45, 10, 1], Operations: ['88-87=1']
Exploring Operation: 45-10=35, Resulting Numbers: [1, 35]
Generated Node #0,1,0: 36:[1, 35] Operation: 45-10=35
Exploring Operation: 45-1=44, Resulting Numbers: [10, 44]
Generated Node #0,1,1: 36:[10, 44] Operation: 45-1=44
Moving to Node #0,0
Current State: 36:[87, 10, 43], Operations: ['88-45=43']
Exploring Operation: 87-43=44, Resulting Numbers: [10, 44]
Generated Node #0,0,0: 36:[10, 44] Operation: 87-43=44
Exploring Operation: 87-10=77, Resulting Numbers: [43, 77]
Generated Node #0,0,1: 36:[43, 77] Operation: 87-10=77
Moving to Node #0,1,0
Current State: 36:[1, 35], Operations: ['88-87=1', '45-10=35']
Exploring Operation: 1+35=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[88, 87, 45, 10], Operations: []
Exploring Operation: 88-87=1, Resulting Numbers: [45, 10, 1]
Generated Node #0,1: 36:[45, 10, 1] Operation: 88-87=1
Moving to Node #0,1
Current State: 36:[45, 10, 1], Operations: ['88-87=1']
Exploring Operation: 45-10=35, Resulting Numbers: [1, 35]
Generated Node #0,1,0: 36:[1, 35] Operation: 45-10=35
Moving to Node #0,1,0
Current State: 36:[1, 35], Operations: ['88-87=1', '45-10=35']
Exploring Operation: 1+35=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 0.990451 | hs_2 | mult_heuristic |
[
37,
49,
39,
78
] | 47 | [
"37+49=86",
"78-39=39",
"86-39=47"
] | Current State: 47:[37, 49, 39, 78], Operations: []
Exploring Operation: 37+49=86, Resulting Numbers: [39, 78, 86]
Generated Node #2: [39, 78, 86] from Operation: 37+49=86
Current State: 47:[39, 78, 86], Operations: ['37+49=86']
Exploring Operation: 78-39=39, Resulting Numbers: [86, 39]
Generated Node #3: [86, 39] from Operation: 78-39=39
Current State: 47:[86, 39], Operations: ['37+49=86', '78-39=39']
Exploring Operation: 86-39=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[37, 49, 39, 78], Operations: []
Exploring Operation: 78-37=41, Resulting Numbers: [49, 39, 41]
Generated Node #0,0: 47:[49, 39, 41] Operation: 78-37=41
Exploring Operation: 78-39=39, Resulting Numbers: [37, 49, 39]
Generated Node #0,1: 47:[37, 49, 39] Operation: 78-39=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[49, 39, 41], Operations: ['78-37=41']
Exploring Operation: 49-39=10, Resulting Numbers: [41, 10]
Generated Node #0,0,0: 47:[41, 10] Operation: 49-39=10
Exploring Operation: 39+41=80, Resulting Numbers: [49, 80]
Generated Node #0,0,1: 47:[49, 80] Operation: 39+41=80
Moving to Node #0,0,1
Current State: 47:[49, 80], Operations: ['78-37=41', '39+41=80']
Exploring Operation: 80-49=31, Resulting Numbers: [31]
31,47 unequal: No Solution
Exploring Operation: 49+80=129, Resulting Numbers: [129]
129,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[41, 10], Operations: ['78-37=41', '49-39=10']
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,47 unequal: No Solution
Exploring Operation: 41+10=51, Resulting Numbers: [51]
51,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[37, 49, 39], Operations: ['78-39=39']
Exploring Operation: 49-37=12, Resulting Numbers: [39, 12]
Generated Node #0,1,0: 47:[39, 12] Operation: 49-37=12
Exploring Operation: 37+39=76, Resulting Numbers: [49, 76]
Generated Node #0,1,1: 47:[49, 76] Operation: 37+39=76
Moving to Node #0,1,1
Current State: 47:[49, 76], Operations: ['78-39=39', '37+39=76']
Exploring Operation: 76-49=27, Resulting Numbers: [27]
27,47 unequal: No Solution
Exploring Operation: 49+76=125, Resulting Numbers: [125]
125,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[39, 12], Operations: ['78-39=39', '49-37=12']
Exploring Operation: 39+12=51, Resulting Numbers: [51]
51,47 unequal: No Solution
Exploring Operation: 39-12=27, Resulting Numbers: [27]
27,47 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 |
[
82,
92,
61,
82
] | 11 | [
"92-82=10",
"82-61=21",
"21-10=11"
] | Current State: 11:[82, 92, 61, 82], Operations: []
Exploring Operation: 92-82=10, Resulting Numbers: [61, 10]
Generated Node #2: [61, 10] from Operation: 92-82=10
Current State: 11:[61, 10], Operations: ['92-82=10']
Exploring Operation: 82-61=21, Resulting Numbers: [10, 21]
Generated Node #3: [10, 21] from Operation: 82-61=21
Current State: 11:[10, 21], Operations: ['92-82=10', '82-61=21']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[82, 92, 61, 82], Operations: []
Exploring Operation: 82/82=1, Resulting Numbers: [92, 61, 1]
Generated Node #0,0: 11:[92, 61, 1] Operation: 82/82=1
Exploring Operation: 92-82=10, Resulting Numbers: [61, 82, 10]
Generated Node #0,1: 11:[61, 82, 10] Operation: 92-82=10
Exploring Operation: 82-82=0, Resulting Numbers: [92, 61, 0]
Generated Node #0,2: 11:[92, 61, 0] Operation: 82-82=0
Exploring Operation: 92-82=10, Resulting Numbers: [82, 61, 10]
Generated Node #0,3: 11:[82, 61, 10] Operation: 92-82=10
Moving to Node #0,1
Current State: 11:[61, 82, 10], Operations: ['92-82=10']
Exploring Operation: 82-61=21, Resulting Numbers: [10, 21]
Generated Node #0,1,0: 11:[10, 21] Operation: 82-61=21
Exploring Operation: 61+10=71, Resulting Numbers: [82, 71]
Generated Node #0,1,1: 11:[82, 71] Operation: 61+10=71
Exploring Operation: 61-10=51, Resulting Numbers: [82, 51]
Generated Node #0,1,2: 11:[82, 51] Operation: 61-10=51
Exploring Operation: 82-10=72, Resulting Numbers: [61, 72]
Generated Node #0,1,3: 11:[61, 72] Operation: 82-10=72
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 11:[10, 21], Operations: ['92-82=10', '82-61=21']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[82, 92, 61, 82], Operations: []
Exploring Operation: 92-82=10, Resulting Numbers: [61, 82, 10]
Generated Node #0,1: 11:[61, 82, 10] Operation: 92-82=10
Moving to Node #0,1
Current State: 11:[61, 82, 10], Operations: ['92-82=10']
Exploring Operation: 82-61=21, Resulting Numbers: [10, 21]
Generated Node #0,1,0: 11:[10, 21] Operation: 82-61=21
Moving to Node #0,1,0
Current State: 11:[10, 21], Operations: ['92-82=10', '82-61=21']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
80,
59,
26,
55
] | 59 | [
"80-26=54",
"55-54=1",
"59*1=59"
] | Current State: 59:[80, 59, 26, 55], Operations: []
Exploring Operation: 80-26=54, Resulting Numbers: [59, 55, 54]
Generated Node #2: [59, 55, 54] from Operation: 80-26=54
Current State: 59:[59, 55, 54], Operations: ['80-26=54']
Exploring Operation: 55-54=1, Resulting Numbers: [59, 1]
Generated Node #3: [59, 1] from Operation: 55-54=1
Current State: 59:[59, 1], Operations: ['80-26=54', '55-54=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[80, 59, 26, 55], Operations: []
Exploring Operation: 80+26=106, Resulting Numbers: [59, 55, 106]
Generated Node #0,0: 59:[59, 55, 106] Operation: 80+26=106
Exploring Operation: 80-26=54, Resulting Numbers: [59, 55, 54]
Generated Node #0,1: 59:[59, 55, 54] Operation: 80-26=54
Exploring Operation: 26+55=81, Resulting Numbers: [80, 59, 81]
Generated Node #0,2: 59:[80, 59, 81] Operation: 26+55=81
Moving to Node #0,1
Current State: 59:[59, 55, 54], Operations: ['80-26=54']
Exploring Operation: 59+54=113, Resulting Numbers: [55, 113]
Generated Node #0,1,0: 59:[55, 113] Operation: 59+54=113
Exploring Operation: 59-54=5, Resulting Numbers: [55, 5]
Generated Node #0,1,1: 59:[55, 5] Operation: 59-54=5
Exploring Operation: 55+54=109, Resulting Numbers: [59, 109]
Generated Node #0,1,2: 59:[59, 109] Operation: 55+54=109
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 59:[59, 109], Operations: ['80-26=54', '55+54=109']
Exploring Operation: 59+109=168, Resulting Numbers: [168]
168,59 unequal: No Solution
Exploring Operation: 109-59=50, Resulting Numbers: [50]
50,59 unequal: No Solution
Exploring Operation: 59*109=6431, Resulting Numbers: [6431]
6431,59 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:[55, 113], Operations: ['80-26=54', '59+54=113']
Exploring Operation: 55*113=6215, Resulting Numbers: [6215]
6215,59 unequal: No Solution
Exploring Operation: 55+113=168, Resulting Numbers: [168]
168,59 unequal: No Solution
Exploring Operation: 113-55=58, Resulting Numbers: [58]
58,59 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:[55, 5], Operations: ['80-26=54', '59-54=5']
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,59 unequal: No Solution
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,59 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,59 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:[80, 59, 81], Operations: ['26+55=81']
Exploring Operation: 81-80=1, Resulting Numbers: [59, 1]
Generated Node #0,2,0: 59:[59, 1] Operation: 81-80=1
Exploring Operation: 81-59=22, Resulting Numbers: [80, 22]
Generated Node #0,2,1: 59:[80, 22] Operation: 81-59=22
Exploring Operation: 80-59=21, Resulting Numbers: [81, 21]
Generated Node #0,2,2: 59:[81, 21] Operation: 80-59=21
Moving to Node #0,0
Current State: 59:[59, 55, 106], Operations: ['80+26=106']
Exploring Operation: 106-55=51, Resulting Numbers: [59, 51]
Generated Node #0,0,0: 59:[59, 51] Operation: 106-55=51
Exploring Operation: 59+55=114, Resulting Numbers: [106, 114]
Generated Node #0,0,1: 59:[106, 114] Operation: 59+55=114
Exploring Operation: 106-59=47, Resulting Numbers: [55, 47]
Generated Node #0,0,2: 59:[55, 47] Operation: 106-59=47
Moving to Node #0,0,0
Current State: 59:[59, 51], Operations: ['80+26=106', '106-55=51']
Exploring Operation: 59*51=3009, Resulting Numbers: [3009]
3009,59 unequal: No Solution
Exploring Operation: 59-51=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 59+51=110, Resulting Numbers: [110]
110,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[55, 47], Operations: ['80+26=106', '106-59=47']
Exploring Operation: 55-47=8, Resulting Numbers: [8]
8,59 unequal: No Solution
Exploring Operation: 55+47=102, Resulting Numbers: [102]
102,59 unequal: No Solution
Exploring Operation: 55*47=2585, Resulting Numbers: [2585]
2585,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[59, 1], Operations: ['26+55=81', '81-80=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[80, 59, 26, 55], Operations: []
Exploring Operation: 26+55=81, Resulting Numbers: [80, 59, 81]
Generated Node #0,2: 59:[80, 59, 81] Operation: 26+55=81
Moving to Node #0,2
Current State: 59:[80, 59, 81], Operations: ['26+55=81']
Exploring Operation: 81-80=1, Resulting Numbers: [59, 1]
Generated Node #0,2,0: 59:[59, 1] Operation: 81-80=1
Moving to Node #0,2,0
Current State: 59:[59, 1], Operations: ['26+55=81', '81-80=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 0.972222 | hs_3 | sum_heuristic |
[
29,
70,
39,
8
] | 56 | [
"39-29=10",
"70*8=560",
"560/10=56"
] | Current State: 56:[29, 70, 39, 8], Operations: []
Exploring Operation: 39-29=10, Resulting Numbers: [70, 8, 10]
Generated Node #2: [70, 8, 10] from Operation: 39-29=10
Current State: 56:[70, 8, 10], Operations: ['39-29=10']
Exploring Operation: 70*8=560, Resulting Numbers: [10, 560]
Generated Node #3: [10, 560] from Operation: 70*8=560
Current State: 56:[10, 560], Operations: ['39-29=10', '70*8=560']
Exploring Operation: 560/10=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[29, 70, 39, 8], Operations: []
Exploring Operation: 70-8=62, Resulting Numbers: [29, 39, 62]
Generated Node #0,0: 56:[29, 39, 62] Operation: 70-8=62
Exploring Operation: 70-39=31, Resulting Numbers: [29, 8, 31]
Generated Node #0,1: 56:[29, 8, 31] Operation: 70-39=31
Exploring Operation: 39-29=10, Resulting Numbers: [70, 8, 10]
Generated Node #0,2: 56:[70, 8, 10] Operation: 39-29=10
Exploring Operation: 39-8=31, Resulting Numbers: [29, 70, 31]
Generated Node #0,3: 56:[29, 70, 31] Operation: 39-8=31
Moving to Node #0,1
Current State: 56:[29, 8, 31], Operations: ['70-39=31']
Exploring Operation: 31-8=23, Resulting Numbers: [29, 23]
Generated Node #0,1,0: 56:[29, 23] Operation: 31-8=23
Exploring Operation: 31-29=2, Resulting Numbers: [8, 2]
Generated Node #0,1,1: 56:[8, 2] Operation: 31-29=2
Exploring Operation: 29-8=21, Resulting Numbers: [31, 21]
Generated Node #0,1,2: 56:[31, 21] Operation: 29-8=21
Exploring Operation: 29+31=60, Resulting Numbers: [8, 60]
Generated Node #0,1,3: 56:[8, 60] Operation: 29+31=60
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 56:[8, 2], Operations: ['70-39=31', '31-29=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 56:[8, 60], Operations: ['70-39=31', '29+31=60']
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 8*60=480, Resulting Numbers: [480]
480,56 unequal: No Solution
Exploring Operation: 8+60=68, Resulting Numbers: [68]
68,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 56:[29, 23], Operations: ['70-39=31', '31-8=23']
Exploring Operation: 29*23=667, Resulting Numbers: [667]
667,56 unequal: No Solution
Exploring Operation: 29+23=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 56:[31, 21], Operations: ['70-39=31', '29-8=21']
Exploring Operation: 31-21=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Exploring Operation: 31*21=651, Resulting Numbers: [651]
651,56 unequal: No Solution
Exploring Operation: 31+21=52, Resulting Numbers: [52]
52,56 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: 56:[70, 8, 10], Operations: ['39-29=10']
Exploring Operation: 10-8=2, Resulting Numbers: [70, 2]
Generated Node #0,2,0: 56:[70, 2] Operation: 10-8=2
Exploring Operation: 70-10=60, Resulting Numbers: [8, 60]
Generated Node #0,2,1: 56:[8, 60] Operation: 70-10=60
Exploring Operation: 70/10=7, Resulting Numbers: [8, 7]
Generated Node #0,2,2: 56:[8, 7] Operation: 70/10=7
Exploring Operation: 70-8=62, Resulting Numbers: [10, 62]
Generated Node #0,2,3: 56:[10, 62] Operation: 70-8=62
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 56:[8, 7], Operations: ['39-29=10', '70/10=7']
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,56 unequal: No Solution
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[29, 70, 39, 8], Operations: []
Exploring Operation: 39-29=10, Resulting Numbers: [70, 8, 10]
Generated Node #0,2: 56:[70, 8, 10] Operation: 39-29=10
Moving to Node #0,2
Current State: 56:[70, 8, 10], Operations: ['39-29=10']
Exploring Operation: 70/10=7, Resulting Numbers: [8, 7]
Generated Node #0,2,2: 56:[8, 7] Operation: 70/10=7
Moving to Node #0,2,2
Current State: 56:[8, 7], Operations: ['39-29=10', '70/10=7']
Exploring Operation: 8*7=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_4 | mult_heuristic |
[
18,
42,
11,
64
] | 99 | [
"42-18=24",
"11+64=75",
"24+75=99"
] | Current State: 99:[18, 42, 11, 64], Operations: []
Exploring Operation: 42-18=24, Resulting Numbers: [11, 64, 24]
Generated Node #2: [11, 64, 24] from Operation: 42-18=24
Current State: 99:[11, 64, 24], Operations: ['42-18=24']
Exploring Operation: 11+64=75, Resulting Numbers: [24, 75]
Generated Node #3: [24, 75] from Operation: 11+64=75
Current State: 99:[24, 75], Operations: ['42-18=24', '11+64=75']
Exploring Operation: 24+75=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[18, 42, 11, 64], Operations: []
Exploring Operation: 64-11=53, Resulting Numbers: [18, 42, 53]
Generated Node #0,0: 99:[18, 42, 53] Operation: 64-11=53
Exploring Operation: 64-18=46, Resulting Numbers: [42, 11, 46]
Generated Node #0,1: 99:[42, 11, 46] Operation: 64-18=46
Exploring Operation: 18+64=82, Resulting Numbers: [42, 11, 82]
Generated Node #0,2: 99:[42, 11, 82] Operation: 18+64=82
Exploring Operation: 64-42=22, Resulting Numbers: [18, 11, 22]
Generated Node #0,3: 99:[18, 11, 22] Operation: 64-42=22
Exploring Operation: 42+64=106, Resulting Numbers: [18, 11, 106]
Generated Node #0,4: 99:[18, 11, 106] Operation: 42+64=106
Moving to Node #0,4
Current State: 99:[18, 11, 106], Operations: ['42+64=106']
Exploring Operation: 18+11=29, Resulting Numbers: [106, 29]
Generated Node #0,4,0: 99:[106, 29] Operation: 18+11=29
Exploring Operation: 106-11=95, Resulting Numbers: [18, 95]
Generated Node #0,4,1: 99:[18, 95] Operation: 106-11=95
Exploring Operation: 106-18=88, Resulting Numbers: [11, 88]
Generated Node #0,4,2: 99:[11, 88] Operation: 106-18=88
Exploring Operation: 18+106=124, Resulting Numbers: [11, 124]
Generated Node #0,4,3: 99:[11, 124] Operation: 18+106=124
Exploring Operation: 18-11=7, Resulting Numbers: [106, 7]
Generated Node #0,4,4: 99:[106, 7] Operation: 18-11=7
Moving to Node #0,3
Current State: 99:[18, 11, 22], Operations: ['64-42=22']
Exploring Operation: 18+22=40, Resulting Numbers: [11, 40]
Generated Node #0,3,0: 99:[11, 40] Operation: 18+22=40
Exploring Operation: 22-11=11, Resulting Numbers: [18, 11]
Generated Node #0,3,1: 99:[18, 11] Operation: 22-11=11
Exploring Operation: 22/11=2, Resulting Numbers: [18, 2]
Generated Node #0,3,2: 99:[18, 2] Operation: 22/11=2
Exploring Operation: 22-18=4, Resulting Numbers: [11, 4]
Generated Node #0,3,3: 99:[11, 4] Operation: 22-18=4
Exploring Operation: 11+22=33, Resulting Numbers: [18, 33]
Generated Node #0,3,4: 99:[18, 33] Operation: 11+22=33
Moving to Node #0,1
Current State: 99:[42, 11, 46], Operations: ['64-18=46']
Exploring Operation: 46-11=35, Resulting Numbers: [42, 35]
Generated Node #0,1,0: 99:[42, 35] Operation: 46-11=35
Exploring Operation: 42+11=53, Resulting Numbers: [46, 53]
Generated Node #0,1,1: 99:[46, 53] Operation: 42+11=53
Exploring Operation: 46-42=4, Resulting Numbers: [11, 4]
Generated Node #0,1,2: 99:[11, 4] Operation: 46-42=4
Exploring Operation: 42-11=31, Resulting Numbers: [46, 31]
Generated Node #0,1,3: 99:[46, 31] Operation: 42-11=31
Exploring Operation: 42+46=88, Resulting Numbers: [11, 88]
Generated Node #0,1,4: 99:[11, 88] Operation: 42+46=88
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 99:[11, 4], Operations: ['64-18=46', '46-42=4']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,99 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,99 unequal: No Solution
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 99:[42, 35], Operations: ['64-18=46', '46-11=35']
Exploring Operation: 42-35=7, Resulting Numbers: [7]
7,99 unequal: No Solution
Exploring Operation: 42*35=1470, Resulting Numbers: [1470]
1470,99 unequal: No Solution
Exploring Operation: 42+35=77, Resulting Numbers: [77]
77,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 99:[11, 88], Operations: ['64-18=46', '42+46=88']
Exploring Operation: 11+88=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[18, 42, 11, 64], Operations: []
Exploring Operation: 64-18=46, Resulting Numbers: [42, 11, 46]
Generated Node #0,1: 99:[42, 11, 46] Operation: 64-18=46
Moving to Node #0,1
Current State: 99:[42, 11, 46], Operations: ['64-18=46']
Exploring Operation: 42+46=88, Resulting Numbers: [11, 88]
Generated Node #0,1,4: 99:[11, 88] Operation: 42+46=88
Moving to Node #0,1,4
Current State: 99:[11, 88], Operations: ['64-18=46', '42+46=88']
Exploring Operation: 11+88=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_5 | mult_heuristic |
[
62,
46,
36,
30
] | 18 | [
"62+46=108",
"36-30=6",
"108/6=18"
] | Current State: 18:[62, 46, 36, 30], Operations: []
Exploring Operation: 62+46=108, Resulting Numbers: [36, 30, 108]
Generated Node #2: [36, 30, 108] from Operation: 62+46=108
Current State: 18:[36, 30, 108], Operations: ['62+46=108']
Exploring Operation: 36-30=6, Resulting Numbers: [108, 6]
Generated Node #3: [108, 6] from Operation: 36-30=6
Current State: 18:[108, 6], Operations: ['62+46=108', '36-30=6']
Exploring Operation: 108/6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[62, 46, 36, 30], Operations: []
Exploring Operation: 46-36=10, Resulting Numbers: [62, 30, 10]
Generated Node #0,0: 18:[62, 30, 10] Operation: 46-36=10
Exploring Operation: 62-46=16, Resulting Numbers: [36, 30, 16]
Generated Node #0,1: 18:[36, 30, 16] Operation: 62-46=16
Exploring Operation: 62-36=26, Resulting Numbers: [46, 30, 26]
Generated Node #0,2: 18:[46, 30, 26] Operation: 62-36=26
Moving to Node #0,1
Current State: 18:[36, 30, 16], Operations: ['62-46=16']
Exploring Operation: 30-16=14, Resulting Numbers: [36, 14]
Generated Node #0,1,0: 18:[36, 14] Operation: 30-16=14
Exploring Operation: 36-30=6, Resulting Numbers: [16, 6]
Generated Node #0,1,1: 18:[16, 6] Operation: 36-30=6
Exploring Operation: 36-16=20, Resulting Numbers: [30, 20]
Generated Node #0,1,2: 18:[30, 20] Operation: 36-16=20
Moving to Node #0,2
Current State: 18:[46, 30, 26], Operations: ['62-36=26']
Exploring Operation: 46-30=16, Resulting Numbers: [26, 16]
Generated Node #0,2,0: 18:[26, 16] Operation: 46-30=16
Exploring Operation: 30-26=4, Resulting Numbers: [46, 4]
Generated Node #0,2,1: 18:[46, 4] Operation: 30-26=4
Exploring Operation: 46-26=20, Resulting Numbers: [30, 20]
Generated Node #0,2,2: 18:[30, 20] Operation: 46-26=20
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 18:[26, 16], Operations: ['62-36=26', '46-30=16']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 26+16=42, Resulting Numbers: [42]
42,18 unequal: No Solution
Exploring Operation: 26*16=416, Resulting Numbers: [416]
416,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 18:[30, 20], Operations: ['62-36=26', '46-26=20']
Exploring Operation: 30*20=600, Resulting Numbers: [600]
600,18 unequal: No Solution
Exploring Operation: 30+20=50, Resulting Numbers: [50]
50,18 unequal: No Solution
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 18:[46, 4], Operations: ['62-36=26', '30-26=4']
Exploring Operation: 46*4=184, Resulting Numbers: [184]
184,18 unequal: No Solution
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,18 unequal: No Solution
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,18 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: 18:[62, 30, 10], Operations: ['46-36=10']
Exploring Operation: 62-30=32, Resulting Numbers: [10, 32]
Generated Node #0,0,0: 18:[10, 32] Operation: 62-30=32
Exploring Operation: 62-10=52, Resulting Numbers: [30, 52]
Generated Node #0,0,1: 18:[30, 52] Operation: 62-10=52
Exploring Operation: 30/10=3, Resulting Numbers: [62, 3]
Generated Node #0,0,2: 18:[62, 3] Operation: 30/10=3
Moving to Node #0,1,1
Current State: 18:[16, 6], Operations: ['62-46=16', '36-30=6']
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,18 unequal: No Solution
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Moving to Node #0,1,2
Current State: 18:[30, 20], Operations: ['62-46=16', '36-16=20']
Exploring Operation: 30+20=50, Resulting Numbers: [50]
50,18 unequal: No Solution
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 30*20=600, Resulting Numbers: [600]
600,18 unequal: No Solution
Moving to Node #0,0,0
Current State: 18:[10, 32], Operations: ['46-36=10', '62-30=32']
Exploring Operation: 10+32=42, Resulting Numbers: [42]
42,18 unequal: No Solution
Exploring Operation: 10*32=320, Resulting Numbers: [320]
320,18 unequal: No Solution
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Moving to Node #0,1,0
Current State: 18:[36, 14], Operations: ['62-46=16', '30-16=14']
Exploring Operation: 36+14=50, Resulting Numbers: [50]
50,18 unequal: No Solution
Exploring Operation: 36*14=504, Resulting Numbers: [504]
504,18 unequal: No Solution
Exploring Operation: 36-14=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Moving to Node #0,0,2
Current State: 18:[62, 3], Operations: ['46-36=10', '30/10=3']
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,18 unequal: No Solution
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,18 unequal: No Solution
Exploring Operation: 62*3=186, Resulting Numbers: [186]
186,18 unequal: No Solution
Moving to Node #0,0,1
Current State: 18:[30, 52], Operations: ['46-36=10', '62-10=52']
Exploring Operation: 30*52=1560, Resulting Numbers: [1560]
1560,18 unequal: No Solution
Exploring Operation: 52-30=22, Resulting Numbers: [22]
22,18 unequal: No Solution
Exploring Operation: 30+52=82, Resulting Numbers: [82]
82,18 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
64,
56,
61,
2
] | 31 | [
"64-61=3",
"56/2=28",
"3+28=31"
] | Current State: 31:[64, 56, 61, 2], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [56, 2, 3]
Generated Node #2: [56, 2, 3] from Operation: 64-61=3
Current State: 31:[56, 2, 3], Operations: ['64-61=3']
Exploring Operation: 56/2=28, Resulting Numbers: [3, 28]
Generated Node #3: [3, 28] from Operation: 56/2=28
Current State: 31:[3, 28], Operations: ['64-61=3', '56/2=28']
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[64, 56, 61, 2], Operations: []
Exploring Operation: 56/2=28, Resulting Numbers: [64, 61, 28]
Generated Node #0,0: 31:[64, 61, 28] Operation: 56/2=28
Exploring Operation: 64-61=3, Resulting Numbers: [56, 2, 3]
Generated Node #0,1: 31:[56, 2, 3] Operation: 64-61=3
Exploring Operation: 64-56=8, Resulting Numbers: [61, 2, 8]
Generated Node #0,2: 31:[61, 2, 8] Operation: 64-56=8
Exploring Operation: 64/2=32, Resulting Numbers: [56, 61, 32]
Generated Node #0,3: 31:[56, 61, 32] Operation: 64/2=32
Start Sub Search at level 1: Moving to Node #0,3
Current State: 31:[56, 61, 32], Operations: ['64/2=32']
Exploring Operation: 61-32=29, Resulting Numbers: [56, 29]
Generated Node #0,3,0: 31:[56, 29] Operation: 61-32=29
Exploring Operation: 61-56=5, Resulting Numbers: [32, 5]
Generated Node #0,3,1: 31:[32, 5] Operation: 61-56=5
Exploring Operation: 56+61=117, Resulting Numbers: [32, 117]
Generated Node #0,3,2: 31:[32, 117] Operation: 56+61=117
Exploring Operation: 56-32=24, Resulting Numbers: [61, 24]
Generated Node #0,3,3: 31:[61, 24] Operation: 56-32=24
Moving to Node #0,3,0
Current State: 31:[56, 29], Operations: ['64/2=32', '61-32=29']
Exploring Operation: 56*29=1624, Resulting Numbers: [1624]
1624,31 unequal: No Solution
Exploring Operation: 56-29=27, Resulting Numbers: [27]
27,31 unequal: No Solution
Exploring Operation: 56+29=85, Resulting Numbers: [85]
85,31 unequal: No Solution
Moving to Node #0,3,1
Current State: 31:[32, 5], Operations: ['64/2=32', '61-56=5']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,31 unequal: No Solution
Exploring Operation: 32*5=160, Resulting Numbers: [160]
160,31 unequal: No Solution
Exploring Operation: 32+5=37, Resulting Numbers: [37]
37,31 unequal: No Solution
Moving to Node #0,3,3
Current State: 31:[61, 24], Operations: ['64/2=32', '56-32=24']
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,31 unequal: No Solution
Exploring Operation: 61+24=85, Resulting Numbers: [85]
85,31 unequal: No Solution
Exploring Operation: 61*24=1464, Resulting Numbers: [1464]
1464,31 unequal: No Solution
Moving to Node #0,3,2
Current State: 31:[32, 117], Operations: ['64/2=32', '56+61=117']
Exploring Operation: 117-32=85, Resulting Numbers: [85]
85,31 unequal: No Solution
Exploring Operation: 32*117=3744, Resulting Numbers: [3744]
3744,31 unequal: No Solution
Exploring Operation: 32+117=149, Resulting Numbers: [149]
149,31 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
Current State: 31:[64, 61, 28], Operations: ['56/2=28']
Exploring Operation: 64-28=36, Resulting Numbers: [61, 36]
Generated Node #0,0,0: 31:[61, 36] Operation: 64-28=36
Exploring Operation: 61-28=33, Resulting Numbers: [64, 33]
Generated Node #0,0,1: 31:[64, 33] Operation: 61-28=33
Exploring Operation: 64-61=3, Resulting Numbers: [28, 3]
Generated Node #0,0,2: 31:[28, 3] Operation: 64-61=3
Exploring Operation: 64+28=92, Resulting Numbers: [61, 92]
Generated Node #0,0,3: 31:[61, 92] Operation: 64+28=92
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 31:[28, 3], Operations: ['56/2=28', '64-61=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,31 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,31 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[64, 56, 61, 2], Operations: []
Exploring Operation: 56/2=28, Resulting Numbers: [64, 61, 28]
Generated Node #0,0: 31:[64, 61, 28] Operation: 56/2=28
Moving to Node #0,0
Current State: 31:[64, 61, 28], Operations: ['56/2=28']
Exploring Operation: 64-61=3, Resulting Numbers: [28, 3]
Generated Node #0,0,2: 31:[28, 3] Operation: 64-61=3
Moving to Node #0,0,2
Current State: 31:[28, 3], Operations: ['56/2=28', '64-61=3']
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 | hs_4 | sum_heuristic |
[
89,
44,
24,
61
] | 82 | [
"89-44=45",
"61-24=37",
"45+37=82"
] | Current State: 82:[89, 44, 24, 61], Operations: []
Exploring Operation: 89-44=45, Resulting Numbers: [24, 61, 45]
Generated Node #2: [24, 61, 45] from Operation: 89-44=45
Current State: 82:[24, 61, 45], Operations: ['89-44=45']
Exploring Operation: 61-24=37, Resulting Numbers: [45, 37]
Generated Node #3: [45, 37] from Operation: 61-24=37
Current State: 82:[45, 37], Operations: ['89-44=45', '61-24=37']
Exploring Operation: 45+37=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[89, 44, 24, 61], Operations: []
Exploring Operation: 89-61=28, Resulting Numbers: [44, 24, 28]
Generated Node #0,0: 82:[44, 24, 28] Operation: 89-61=28
Exploring Operation: 24+61=85, Resulting Numbers: [89, 44, 85]
Generated Node #0,1: 82:[89, 44, 85] Operation: 24+61=85
Exploring Operation: 89-24=65, Resulting Numbers: [44, 61, 65]
Generated Node #0,2: 82:[44, 61, 65] Operation: 89-24=65
Exploring Operation: 61-44=17, Resulting Numbers: [89, 24, 17]
Generated Node #0,3: 82:[89, 24, 17] Operation: 61-44=17
Exploring Operation: 61-24=37, Resulting Numbers: [89, 44, 37]
Generated Node #0,4: 82:[89, 44, 37] Operation: 61-24=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 82:[89, 44, 85], Operations: ['24+61=85']
Exploring Operation: 89+44=133, Resulting Numbers: [85, 133]
Generated Node #0,1,0: 82:[85, 133] Operation: 89+44=133
Exploring Operation: 89-85=4, Resulting Numbers: [44, 4]
Generated Node #0,1,1: 82:[44, 4] Operation: 89-85=4
Exploring Operation: 85-44=41, Resulting Numbers: [89, 41]
Generated Node #0,1,2: 82:[89, 41] Operation: 85-44=41
Exploring Operation: 89-44=45, Resulting Numbers: [85, 45]
Generated Node #0,1,3: 82:[85, 45] Operation: 89-44=45
Exploring Operation: 44+85=129, Resulting Numbers: [89, 129]
Generated Node #0,1,4: 82:[89, 129] Operation: 44+85=129
Moving to Node #0,1,1
Current State: 82:[44, 4], Operations: ['24+61=85', '89-85=4']
Exploring Operation: 44+4=48, Resulting Numbers: [48]
48,82 unequal: No Solution
Exploring Operation: 44*4=176, Resulting Numbers: [176]
176,82 unequal: No Solution
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,82 unequal: No Solution
Moving to Node #0,1,3
Current State: 82:[85, 45], Operations: ['24+61=85', '89-44=45']
Exploring Operation: 85*45=3825, Resulting Numbers: [3825]
3825,82 unequal: No Solution
Exploring Operation: 85-45=40, Resulting Numbers: [40]
40,82 unequal: No Solution
Exploring Operation: 85+45=130, Resulting Numbers: [130]
130,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[89, 41], Operations: ['24+61=85', '85-44=41']
Exploring Operation: 89-41=48, Resulting Numbers: [48]
48,82 unequal: No Solution
Exploring Operation: 89*41=3649, Resulting Numbers: [3649]
3649,82 unequal: No Solution
Exploring Operation: 89+41=130, Resulting Numbers: [130]
130,82 unequal: No Solution
Moving to Node #0,1,0
Current State: 82:[85, 133], Operations: ['24+61=85', '89+44=133']
Exploring Operation: 85+133=218, Resulting Numbers: [218]
218,82 unequal: No Solution
Exploring Operation: 85*133=11305, Resulting Numbers: [11305]
11305,82 unequal: No Solution
Exploring Operation: 133-85=48, Resulting Numbers: [48]
48,82 unequal: No Solution
Moving to Node #0,1,4
Current State: 82:[89, 129], Operations: ['24+61=85', '44+85=129']
Exploring Operation: 89+129=218, Resulting Numbers: [218]
218,82 unequal: No Solution
Exploring Operation: 89*129=11481, Resulting Numbers: [11481]
11481,82 unequal: No Solution
Exploring Operation: 129-89=40, Resulting Numbers: [40]
40,82 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 #0,4
Current State: 82:[89, 44, 37], Operations: ['61-24=37']
Exploring Operation: 89-44=45, Resulting Numbers: [37, 45]
Generated Node #0,4,0: 82:[37, 45] Operation: 89-44=45
Exploring Operation: 89+37=126, Resulting Numbers: [44, 126]
Generated Node #0,4,1: 82:[44, 126] Operation: 89+37=126
Exploring Operation: 44-37=7, Resulting Numbers: [89, 7]
Generated Node #0,4,2: 82:[89, 7] Operation: 44-37=7
Exploring Operation: 44+37=81, Resulting Numbers: [89, 81]
Generated Node #0,4,3: 82:[89, 81] Operation: 44+37=81
Exploring Operation: 89-37=52, Resulting Numbers: [44, 52]
Generated Node #0,4,4: 82:[44, 52] Operation: 89-37=52
Moving to Node #0,4,0
Current State: 82:[37, 45], Operations: ['61-24=37', '89-44=45']
Exploring Operation: 45-37=8, Resulting Numbers: [8]
8,82 unequal: No Solution
Exploring Operation: 37*45=1665, Resulting Numbers: [1665]
1665,82 unequal: No Solution
Exploring Operation: 37+45=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[89, 44, 24, 61], Operations: []
Exploring Operation: 61-24=37, Resulting Numbers: [89, 44, 37]
Generated Node #0,4: 82:[89, 44, 37] Operation: 61-24=37
Moving to Node #0,4
Current State: 82:[89, 44, 37], Operations: ['61-24=37']
Exploring Operation: 89-44=45, Resulting Numbers: [37, 45]
Generated Node #0,4,0: 82:[37, 45] Operation: 89-44=45
Moving to Node #0,4,0
Current State: 82:[37, 45], Operations: ['61-24=37', '89-44=45']
Exploring Operation: 37+45=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 | hs_5 | sum_heuristic |
[
98,
40,
48,
24
] | 94 | [
"48-40=8",
"24*8=192",
"192-98=94"
] | Current State: 94:[98, 40, 48, 24], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [98, 24, 8]
Generated Node #2: [98, 24, 8] from Operation: 48-40=8
Current State: 94:[98, 24, 8], Operations: ['48-40=8']
Exploring Operation: 24*8=192, Resulting Numbers: [98, 192]
Generated Node #3: [98, 192] from Operation: 24*8=192
Current State: 94:[98, 192], Operations: ['48-40=8', '24*8=192']
Exploring Operation: 192-98=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[98, 40, 48, 24], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [98, 40, 2]
Generated Node #0,0: 94:[98, 40, 2] Operation: 48/24=2
Exploring Operation: 40-24=16, Resulting Numbers: [98, 48, 16]
Generated Node #0,1: 94:[98, 48, 16] Operation: 40-24=16
Moving to Node #0,0
Current State: 94:[98, 40, 2], Operations: ['48/24=2']
Exploring Operation: 98/2=49, Resulting Numbers: [40, 49]
Generated Node #0,0,0: 94:[40, 49] Operation: 98/2=49
Exploring Operation: 98-2=96, Resulting Numbers: [40, 96]
Generated Node #0,0,1: 94:[40, 96] Operation: 98-2=96
Moving to Node #0,1
Current State: 94:[98, 48, 16], Operations: ['40-24=16']
Exploring Operation: 48/16=3, Resulting Numbers: [98, 3]
Generated Node #0,1,0: 94:[98, 3] Operation: 48/16=3
Exploring Operation: 98-16=82, Resulting Numbers: [48, 82]
Generated Node #0,1,1: 94:[48, 82] Operation: 98-16=82
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[98, 3], Operations: ['40-24=16', '48/16=3']
Exploring Operation: 98+3=101, Resulting Numbers: [101]
101,94 unequal: No Solution
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 94:[48, 82], Operations: ['40-24=16', '98-16=82']
Exploring Operation: 48+82=130, Resulting Numbers: [130]
130,94 unequal: No Solution
Exploring Operation: 82-48=34, Resulting Numbers: [34]
34,94 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: 94:[40, 49], Operations: ['48/24=2', '98/2=49']
Exploring Operation: 40+49=89, Resulting Numbers: [89]
89,94 unequal: No Solution
Exploring Operation: 49-40=9, Resulting Numbers: [9]
9,94 unequal: No Solution
Moving to Node #0,0,1
Current State: 94:[40, 96], Operations: ['48/24=2', '98-2=96']
Exploring Operation: 40+96=136, Resulting Numbers: [136]
136,94 unequal: No Solution
Exploring Operation: 96-40=56, Resulting Numbers: [56]
56,94 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
57,
5,
73,
33
] | 47 | [
"73-57=16",
"5*16=80",
"80-33=47"
] | Current State: 47:[57, 5, 73, 33], Operations: []
Exploring Operation: 73-57=16, Resulting Numbers: [5, 33, 16]
Generated Node #2: [5, 33, 16] from Operation: 73-57=16
Current State: 47:[5, 33, 16], Operations: ['73-57=16']
Exploring Operation: 5*16=80, Resulting Numbers: [33, 80]
Generated Node #3: [33, 80] from Operation: 5*16=80
Current State: 47:[33, 80], Operations: ['73-57=16', '5*16=80']
Exploring Operation: 80-33=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[57, 5, 73, 33], Operations: []
Exploring Operation: 57-5=52, Resulting Numbers: [73, 33, 52]
Generated Node #0,0: 47:[73, 33, 52] Operation: 57-5=52
Exploring Operation: 73-5=68, Resulting Numbers: [57, 33, 68]
Generated Node #0,1: 47:[57, 33, 68] Operation: 73-5=68
Exploring Operation: 5+33=38, Resulting Numbers: [57, 73, 38]
Generated Node #0,2: 47:[57, 73, 38] Operation: 5+33=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[73, 33, 52], Operations: ['57-5=52']
Exploring Operation: 73-52=21, Resulting Numbers: [33, 21]
Generated Node #0,0,0: 47:[33, 21] Operation: 73-52=21
Exploring Operation: 73-33=40, Resulting Numbers: [52, 40]
Generated Node #0,0,1: 47:[52, 40] Operation: 73-33=40
Exploring Operation: 52-33=19, Resulting Numbers: [73, 19]
Generated Node #0,0,2: 47:[73, 19] Operation: 52-33=19
Moving to Node #0,0,1
Current State: 47:[52, 40], Operations: ['57-5=52', '73-33=40']
Exploring Operation: 52*40=2080, Resulting Numbers: [2080]
2080,47 unequal: No Solution
Exploring Operation: 52-40=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Exploring Operation: 52+40=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[33, 21], Operations: ['57-5=52', '73-52=21']
Exploring Operation: 33*21=693, Resulting Numbers: [693]
693,47 unequal: No Solution
Exploring Operation: 33-21=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Exploring Operation: 33+21=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[73, 19], Operations: ['57-5=52', '52-33=19']
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 73+19=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Exploring Operation: 73*19=1387, Resulting Numbers: [1387]
1387,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[57, 33, 68], Operations: ['73-5=68']
Exploring Operation: 68-57=11, Resulting Numbers: [33, 11]
Generated Node #0,1,0: 47:[33, 11] Operation: 68-57=11
Exploring Operation: 57-33=24, Resulting Numbers: [68, 24]
Generated Node #0,1,1: 47:[68, 24] Operation: 57-33=24
Exploring Operation: 68-33=35, Resulting Numbers: [57, 35]
Generated Node #0,1,2: 47:[57, 35] Operation: 68-33=35
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 47:[57, 35], Operations: ['73-5=68', '68-33=35']
Exploring Operation: 57+35=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,47 unequal: No Solution
Exploring Operation: 57*35=1995, Resulting Numbers: [1995]
1995,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 47:[68, 24], Operations: ['73-5=68', '57-33=24']
Exploring Operation: 68-24=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 68+24=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Exploring Operation: 68*24=1632, Resulting Numbers: [1632]
1632,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 47:[33, 11], Operations: ['73-5=68', '68-57=11']
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,47 unequal: No Solution
Exploring Operation: 33+11=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[57, 73, 38], Operations: ['5+33=38']
Exploring Operation: 57-38=19, Resulting Numbers: [73, 19]
Generated Node #0,2,0: 47:[73, 19] Operation: 57-38=19
Exploring Operation: 73-57=16, Resulting Numbers: [38, 16]
Generated Node #0,2,1: 47:[38, 16] Operation: 73-57=16
Exploring Operation: 73-38=35, Resulting Numbers: [57, 35]
Generated Node #0,2,2: 47:[57, 35] Operation: 73-38=35
Moving to Node #0,2,2
Current State: 47:[57, 35], Operations: ['5+33=38', '73-38=35']
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,47 unequal: No Solution
Exploring Operation: 57*35=1995, Resulting Numbers: [1995]
1995,47 unequal: No Solution
Exploring Operation: 57+35=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Moving to Node #0,2,1
Current State: 47:[38, 16], Operations: ['5+33=38', '73-57=16']
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,47 unequal: No Solution
Exploring Operation: 38*16=608, Resulting Numbers: [608]
608,47 unequal: No Solution
Exploring Operation: 38+16=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Moving to Node #0,2,0
Current State: 47:[73, 19], Operations: ['5+33=38', '57-38=19']
Exploring Operation: 73+19=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Exploring Operation: 73-19=54, Resulting Numbers: [54]
54,47 unequal: No Solution
Exploring Operation: 73*19=1387, Resulting Numbers: [1387]
1387,47 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 |
[
21,
68,
90,
32
] | 75 | [
"68-21=47",
"90+32=122",
"122-47=75"
] | Current State: 75:[21, 68, 90, 32], Operations: []
Exploring Operation: 68-21=47, Resulting Numbers: [90, 32, 47]
Generated Node #2: [90, 32, 47] from Operation: 68-21=47
Current State: 75:[90, 32, 47], Operations: ['68-21=47']
Exploring Operation: 90+32=122, Resulting Numbers: [47, 122]
Generated Node #3: [47, 122] from Operation: 90+32=122
Current State: 75:[47, 122], Operations: ['68-21=47', '90+32=122']
Exploring Operation: 122-47=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[21, 68, 90, 32], Operations: []
Exploring Operation: 90-68=22, Resulting Numbers: [21, 32, 22]
Generated Node #0,0: 75:[21, 32, 22] Operation: 90-68=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[21, 32, 22], Operations: ['90-68=22']
Exploring Operation: 32-21=11, Resulting Numbers: [22, 11]
Generated Node #0,0,0: 75:[22, 11] Operation: 32-21=11
Moving to Node #0,0,0
Current State: 75:[22, 11], Operations: ['90-68=22', '32-21=11']
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,75 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 |
[
95,
39,
99,
97
] | 58 | [
"95-39=56",
"99-97=2",
"56+2=58"
] | Current State: 58:[95, 39, 99, 97], Operations: []
Exploring Operation: 95-39=56, Resulting Numbers: [99, 97, 56]
Generated Node #2: [99, 97, 56] from Operation: 95-39=56
Current State: 58:[99, 97, 56], Operations: ['95-39=56']
Exploring Operation: 99-97=2, Resulting Numbers: [56, 2]
Generated Node #3: [56, 2] from Operation: 99-97=2
Current State: 58:[56, 2], Operations: ['95-39=56', '99-97=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[95, 39, 99, 97], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [95, 39, 2]
Generated Node #0,0: 58:[95, 39, 2] Operation: 99-97=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[95, 39, 2], Operations: ['99-97=2']
Exploring Operation: 95-39=56, Resulting Numbers: [2, 56]
Generated Node #0,0,0: 58:[2, 56] Operation: 95-39=56
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[2, 56], Operations: ['99-97=2', '95-39=56']
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[95, 39, 99, 97], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [95, 39, 2]
Generated Node #0,0: 58:[95, 39, 2] Operation: 99-97=2
Moving to Node #0,0
Current State: 58:[95, 39, 2], Operations: ['99-97=2']
Exploring Operation: 95-39=56, Resulting Numbers: [2, 56]
Generated Node #0,0,0: 58:[2, 56] Operation: 95-39=56
Moving to Node #0,0,0
Current State: 58:[2, 56], Operations: ['99-97=2', '95-39=56']
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
48,
3,
4,
88
] | 26 | [
"48/3=16",
"88+16=104",
"104/4=26"
] | Current State: 26:[48, 3, 4, 88], Operations: []
Exploring Operation: 48/3=16, Resulting Numbers: [4, 88, 16]
Generated Node #2: [4, 88, 16] from Operation: 48/3=16
Current State: 26:[4, 88, 16], Operations: ['48/3=16']
Exploring Operation: 88+16=104, Resulting Numbers: [4, 104]
Generated Node #3: [4, 104] from Operation: 88+16=104
Current State: 26:[4, 104], Operations: ['48/3=16', '88+16=104']
Exploring Operation: 104/4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[48, 3, 4, 88], Operations: []
Exploring Operation: 48/4=12, Resulting Numbers: [3, 88, 12]
Generated Node #0,0: 26:[3, 88, 12] Operation: 48/4=12
Exploring Operation: 88/4=22, Resulting Numbers: [48, 3, 22]
Generated Node #0,1: 26:[48, 3, 22] Operation: 88/4=22
Exploring Operation: 88-48=40, Resulting Numbers: [3, 4, 40]
Generated Node #0,2: 26:[3, 4, 40] Operation: 88-48=40
Moving to Node #0,2
Current State: 26:[3, 4, 40], Operations: ['88-48=40']
Exploring Operation: 40-4=36, Resulting Numbers: [3, 36]
Generated Node #0,2,0: 26:[3, 36] Operation: 40-4=36
Exploring Operation: 40/4=10, Resulting Numbers: [3, 10]
Generated Node #0,2,1: 26:[3, 10] Operation: 40/4=10
Exploring Operation: 40-3=37, Resulting Numbers: [4, 37]
Generated Node #0,2,2: 26:[4, 37] Operation: 40-3=37
Moving to Node #0,1
Current State: 26:[48, 3, 22], Operations: ['88/4=22']
Exploring Operation: 48-22=26, Resulting Numbers: [3, 26]
Generated Node #0,1,0: 26:[3, 26] Operation: 48-22=26
Exploring Operation: 48/3=16, Resulting Numbers: [22, 16]
Generated Node #0,1,1: 26:[22, 16] Operation: 48/3=16
Exploring Operation: 48-3=45, Resulting Numbers: [22, 45]
Generated Node #0,1,2: 26:[22, 45] Operation: 48-3=45
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 26:[3, 26], Operations: ['88/4=22', '48-22=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,26 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 26:[22, 16], Operations: ['88/4=22', '48/3=16']
Exploring Operation: 22*16=352, Resulting Numbers: [352]
352,26 unequal: No Solution
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,26 unequal: No Solution
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,26 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 #0,1,2
Current State: 26:[22, 45], Operations: ['88/4=22', '48-3=45']
Exploring Operation: 22*45=990, Resulting Numbers: [990]
990,26 unequal: No Solution
Exploring Operation: 45-22=23, Resulting Numbers: [23]
23,26 unequal: No Solution
Exploring Operation: 22+45=67, Resulting Numbers: [67]
67,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 26:[3, 88, 12], Operations: ['48/4=12']
Exploring Operation: 88-3=85, Resulting Numbers: [12, 85]
Generated Node #0,0,0: 26:[12, 85] Operation: 88-3=85
Exploring Operation: 88-12=76, Resulting Numbers: [3, 76]
Generated Node #0,0,1: 26:[3, 76] Operation: 88-12=76
Exploring Operation: 3+12=15, Resulting Numbers: [88, 15]
Generated Node #0,0,2: 26:[88, 15] Operation: 3+12=15
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 26:[3, 76], Operations: ['48/4=12', '88-12=76']
Exploring Operation: 3+76=79, Resulting Numbers: [79]
79,26 unequal: No Solution
Exploring Operation: 76-3=73, Resulting Numbers: [73]
73,26 unequal: No Solution
Exploring Operation: 3*76=228, Resulting Numbers: [228]
228,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 26:[12, 85], Operations: ['48/4=12', '88-3=85']
Exploring Operation: 12+85=97, Resulting Numbers: [97]
97,26 unequal: No Solution
Exploring Operation: 12*85=1020, Resulting Numbers: [1020]
1020,26 unequal: No Solution
Exploring Operation: 85-12=73, Resulting Numbers: [73]
73,26 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 #0,0,2
Current State: 26:[88, 15], Operations: ['48/4=12', '3+12=15']
Exploring Operation: 88*15=1320, Resulting Numbers: [1320]
1320,26 unequal: No Solution
Exploring Operation: 88+15=103, Resulting Numbers: [103]
103,26 unequal: No Solution
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,26 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: 26:[3, 10], Operations: ['88-48=40', '40/4=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,26 unequal: No Solution
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,26 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Moving to Node #0,2,0
Current State: 26:[3, 36], Operations: ['88-48=40', '40-4=36']
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,26 unequal: No Solution
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,26 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,26 unequal: No Solution
Moving to Node #0,2,2
Current State: 26:[4, 37], Operations: ['88-48=40', '40-3=37']
Exploring Operation: 4*37=148, Resulting Numbers: [148]
148,26 unequal: No Solution
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,26 unequal: No Solution
Exploring Operation: 4+37=41, Resulting Numbers: [41]
41,26 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
26,
21,
63,
98
] | 24 | [
"98-26=72",
"63/21=3",
"72/3=24"
] | Current State: 24:[26, 21, 63, 98], Operations: []
Exploring Operation: 98-26=72, Resulting Numbers: [21, 63, 72]
Generated Node #2: [21, 63, 72] from Operation: 98-26=72
Current State: 24:[21, 63, 72], Operations: ['98-26=72']
Exploring Operation: 63/21=3, Resulting Numbers: [72, 3]
Generated Node #3: [72, 3] from Operation: 63/21=3
Current State: 24:[72, 3], Operations: ['98-26=72', '63/21=3']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[26, 21, 63, 98], Operations: []
Exploring Operation: 98-63=35, Resulting Numbers: [26, 21, 35]
Generated Node #0,0: 24:[26, 21, 35] Operation: 98-63=35
Exploring Operation: 63/21=3, Resulting Numbers: [26, 98, 3]
Generated Node #0,1: 24:[26, 98, 3] Operation: 63/21=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[26, 21, 35], Operations: ['98-63=35']
Exploring Operation: 35-21=14, Resulting Numbers: [26, 14]
Generated Node #0,0,0: 24:[26, 14] Operation: 35-21=14
Exploring Operation: 35-26=9, Resulting Numbers: [21, 9]
Generated Node #0,0,1: 24:[21, 9] Operation: 35-26=9
Moving to Node #0,0,0
Current State: 24:[26, 14], Operations: ['98-63=35', '35-21=14']
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,24 unequal: No Solution
Exploring Operation: 26+14=40, Resulting Numbers: [40]
40,24 unequal: No Solution
Moving to Node #0,0,1
Current State: 24:[21, 9], Operations: ['98-63=35', '35-26=9']
Exploring Operation: 21+9=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[26, 98, 3], Operations: ['63/21=3']
Exploring Operation: 98-26=72, Resulting Numbers: [3, 72]
Generated Node #0,1,0: 24:[3, 72] Operation: 98-26=72
Exploring Operation: 98-3=95, Resulting Numbers: [26, 95]
Generated Node #0,1,1: 24:[26, 95] Operation: 98-3=95
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 24:[3, 72], Operations: ['63/21=3', '98-26=72']
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[26, 21, 63, 98], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [26, 98, 3]
Generated Node #0,1: 24:[26, 98, 3] Operation: 63/21=3
Moving to Node #0,1
Current State: 24:[26, 98, 3], Operations: ['63/21=3']
Exploring Operation: 98-26=72, Resulting Numbers: [3, 72]
Generated Node #0,1,0: 24:[3, 72] Operation: 98-26=72
Moving to Node #0,1,0
Current State: 24:[3, 72], Operations: ['63/21=3', '98-26=72']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
36,
1,
4,
31
] | 89 | [
"36-1=35",
"4*31=124",
"124-35=89"
] | Current State: 89:[36, 1, 4, 31], Operations: []
Exploring Operation: 36-1=35, Resulting Numbers: [4, 31, 35]
Generated Node #2: [4, 31, 35] from Operation: 36-1=35
Current State: 89:[4, 31, 35], Operations: ['36-1=35']
Exploring Operation: 4*31=124, Resulting Numbers: [35, 124]
Generated Node #3: [35, 124] from Operation: 4*31=124
Current State: 89:[35, 124], Operations: ['36-1=35', '4*31=124']
Exploring Operation: 124-35=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[36, 1, 4, 31], Operations: []
Exploring Operation: 4*31=124, Resulting Numbers: [36, 1, 124]
Generated Node #0,0: 89:[36, 1, 124] Operation: 4*31=124
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[36, 1, 124], Operations: ['4*31=124']
Exploring Operation: 36+1=37, Resulting Numbers: [124, 37]
Generated Node #0,0,0: 89:[124, 37] Operation: 36+1=37
Moving to Node #0,0,0
Current State: 89:[124, 37], Operations: ['4*31=124', '36+1=37']
Exploring Operation: 124-37=87, Resulting Numbers: [87]
87,89 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 |
[
90,
19,
14,
10
] | 69 | [
"90-19=71",
"14*10=140",
"140-71=69"
] | Current State: 69:[90, 19, 14, 10], Operations: []
Exploring Operation: 90-19=71, Resulting Numbers: [14, 10, 71]
Generated Node #2: [14, 10, 71] from Operation: 90-19=71
Current State: 69:[14, 10, 71], Operations: ['90-19=71']
Exploring Operation: 14*10=140, Resulting Numbers: [71, 140]
Generated Node #3: [71, 140] from Operation: 14*10=140
Current State: 69:[71, 140], Operations: ['90-19=71', '14*10=140']
Exploring Operation: 140-71=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[90, 19, 14, 10], Operations: []
Exploring Operation: 90-19=71, Resulting Numbers: [14, 10, 71]
Generated Node #0,0: 69:[14, 10, 71] Operation: 90-19=71
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[14, 10, 71], Operations: ['90-19=71']
Exploring Operation: 14+10=24, Resulting Numbers: [71, 24]
Generated Node #0,0,0: 69:[71, 24] Operation: 14+10=24
Moving to Node #0,0,0
Current State: 69:[71, 24], Operations: ['90-19=71', '14+10=24']
Exploring Operation: 71-24=47, Resulting Numbers: [47]
47,69 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 |
[
30,
34,
3,
36
] | 80 | [
"30/3=10",
"34+36=70",
"10+70=80"
] | Current State: 80:[30, 34, 3, 36], Operations: []
Exploring Operation: 30/3=10, Resulting Numbers: [34, 36, 10]
Generated Node #2: [34, 36, 10] from Operation: 30/3=10
Current State: 80:[34, 36, 10], Operations: ['30/3=10']
Exploring Operation: 34+36=70, Resulting Numbers: [10, 70]
Generated Node #3: [10, 70] from Operation: 34+36=70
Current State: 80:[10, 70], Operations: ['30/3=10', '34+36=70']
Exploring Operation: 10+70=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[30, 34, 3, 36], Operations: []
Exploring Operation: 36-30=6, Resulting Numbers: [34, 3, 6]
Generated Node #0,0: 80:[34, 3, 6] Operation: 36-30=6
Exploring Operation: 36-34=2, Resulting Numbers: [30, 3, 2]
Generated Node #0,1: 80:[30, 3, 2] Operation: 36-34=2
Exploring Operation: 30/3=10, Resulting Numbers: [34, 36, 10]
Generated Node #0,2: 80:[34, 36, 10] Operation: 30/3=10
Exploring Operation: 34-30=4, Resulting Numbers: [3, 36, 4]
Generated Node #0,3: 80:[3, 36, 4] Operation: 34-30=4
Exploring Operation: 30+3=33, Resulting Numbers: [34, 36, 33]
Generated Node #0,4: 80:[34, 36, 33] Operation: 30+3=33
Moving to Node #0,3
Current State: 80:[3, 36, 4], Operations: ['34-30=4']
Exploring Operation: 3+4=7, Resulting Numbers: [36, 7]
Generated Node #0,3,0: 80:[36, 7] Operation: 3+4=7
Exploring Operation: 36+4=40, Resulting Numbers: [3, 40]
Generated Node #0,3,1: 80:[3, 40] Operation: 36+4=40
Exploring Operation: 36/3=12, Resulting Numbers: [4, 12]
Generated Node #0,3,2: 80:[4, 12] Operation: 36/3=12
Exploring Operation: 36/4=9, Resulting Numbers: [3, 9]
Generated Node #0,3,3: 80:[3, 9] Operation: 36/4=9
Exploring Operation: 3+36=39, Resulting Numbers: [4, 39]
Generated Node #0,3,4: 80:[4, 39] Operation: 3+36=39
Moving to Node #0,0
Current State: 80:[34, 3, 6], Operations: ['36-30=6']
Exploring Operation: 6/3=2, Resulting Numbers: [34, 2]
Generated Node #0,0,0: 80:[34, 2] Operation: 6/3=2
Exploring Operation: 6-3=3, Resulting Numbers: [34, 3]
Generated Node #0,0,1: 80:[34, 3] Operation: 6-3=3
Exploring Operation: 3+6=9, Resulting Numbers: [34, 9]
Generated Node #0,0,2: 80:[34, 9] Operation: 3+6=9
Exploring Operation: 34+6=40, Resulting Numbers: [3, 40]
Generated Node #0,0,3: 80:[3, 40] Operation: 34+6=40
Exploring Operation: 34+3=37, Resulting Numbers: [6, 37]
Generated Node #0,0,4: 80:[6, 37] Operation: 34+3=37
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 80:[3, 40], Operations: ['36-30=6', '34+6=40']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,80 unequal: No Solution
Exploring Operation: 3*40=120, Resulting Numbers: [120]
120,80 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:[6, 37], Operations: ['36-30=6', '34+3=37']
Exploring Operation: 6+37=43, Resulting Numbers: [43]
43,80 unequal: No Solution
Exploring Operation: 6*37=222, Resulting Numbers: [222]
222,80 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,80 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:[34, 2], Operations: ['36-30=6', '6/3=2']
Exploring Operation: 34*2=68, Resulting Numbers: [68]
68,80 unequal: No Solution
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,80 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,80 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:[34, 3], Operations: ['36-30=6', '6-3=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,80 unequal: No Solution
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 80:[34, 9], Operations: ['36-30=6', '3+6=9']
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,80 unequal: No Solution
Exploring Operation: 34*9=306, Resulting Numbers: [306]
306,80 unequal: No Solution
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,80 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:[34, 36, 10], Operations: ['30/3=10']
Exploring Operation: 34-10=24, Resulting Numbers: [36, 24]
Generated Node #0,2,0: 80:[36, 24] Operation: 34-10=24
Exploring Operation: 34+10=44, Resulting Numbers: [36, 44]
Generated Node #0,2,1: 80:[36, 44] Operation: 34+10=44
Exploring Operation: 36-34=2, Resulting Numbers: [10, 2]
Generated Node #0,2,2: 80:[10, 2] Operation: 36-34=2
Exploring Operation: 36+10=46, Resulting Numbers: [34, 46]
Generated Node #0,2,3: 80:[34, 46] Operation: 36+10=46
Exploring Operation: 34+36=70, Resulting Numbers: [10, 70]
Generated Node #0,2,4: 80:[10, 70] Operation: 34+36=70
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 80:[10, 2], Operations: ['30/3=10', '36-34=2']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,80 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,80 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:[36, 24], Operations: ['30/3=10', '34-10=24']
Exploring Operation: 36*24=864, Resulting Numbers: [864]
864,80 unequal: No Solution
Exploring Operation: 36+24=60, Resulting Numbers: [60]
60,80 unequal: No Solution
Exploring Operation: 36-24=12, Resulting Numbers: [12]
12,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 80:[36, 44], Operations: ['30/3=10', '34+10=44']
Exploring Operation: 36+44=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[30, 34, 3, 36], Operations: []
Exploring Operation: 30/3=10, Resulting Numbers: [34, 36, 10]
Generated Node #0,2: 80:[34, 36, 10] Operation: 30/3=10
Moving to Node #0,2
Current State: 80:[34, 36, 10], Operations: ['30/3=10']
Exploring Operation: 34+10=44, Resulting Numbers: [36, 44]
Generated Node #0,2,1: 80:[36, 44] Operation: 34+10=44
Moving to Node #0,2,1
Current State: 80:[36, 44], Operations: ['30/3=10', '34+10=44']
Exploring Operation: 36+44=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.958333 | hs_5 | mult_heuristic |
[
13,
6,
83,
6
] | 34 | [
"83-13=70",
"6*6=36",
"70-36=34"
] | Current State: 34:[13, 6, 83, 6], Operations: []
Exploring Operation: 83-13=70, Resulting Numbers: [6, 6, 70]
Generated Node #2: [6, 6, 70] from Operation: 83-13=70
Current State: 34:[6, 6, 70], Operations: ['83-13=70']
Exploring Operation: 6*6=36, Resulting Numbers: [70, 36]
Generated Node #3: [70, 36] from Operation: 6*6=36
Current State: 34:[70, 36], Operations: ['83-13=70', '6*6=36']
Exploring Operation: 70-36=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[13, 6, 83, 6], Operations: []
Exploring Operation: 83-13=70, Resulting Numbers: [6, 6, 70]
Generated Node #0,0: 34:[6, 6, 70] Operation: 83-13=70
Moving to Node #0,0
Current State: 34:[6, 6, 70], Operations: ['83-13=70']
Exploring Operation: 70-6=64, Resulting Numbers: [6, 64]
Generated Node #0,0,0: 34:[6, 64] Operation: 70-6=64
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 34:[6, 64], Operations: ['83-13=70', '70-6=64']
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,34 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 |
[
56,
68,
22,
10
] | 20 | [
"68-56=12",
"22+10=32",
"32-12=20"
] | Current State: 20:[56, 68, 22, 10], Operations: []
Exploring Operation: 68-56=12, Resulting Numbers: [22, 10, 12]
Generated Node #2: [22, 10, 12] from Operation: 68-56=12
Current State: 20:[22, 10, 12], Operations: ['68-56=12']
Exploring Operation: 22+10=32, Resulting Numbers: [12, 32]
Generated Node #3: [12, 32] from Operation: 22+10=32
Current State: 20:[12, 32], Operations: ['68-56=12', '22+10=32']
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[56, 68, 22, 10], Operations: []
Exploring Operation: 68-56=12, Resulting Numbers: [22, 10, 12]
Generated Node #0,0: 20:[22, 10, 12] Operation: 68-56=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[22, 10, 12], Operations: ['68-56=12']
Exploring Operation: 22-12=10, Resulting Numbers: [10, 10]
Generated Node #0,0,0: 20:[10, 10] Operation: 22-12=10
Moving to Node #0,0,0
Current State: 20:[10, 10], Operations: ['68-56=12', '22-12=10']
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[56, 68, 22, 10], Operations: []
Exploring Operation: 68-56=12, Resulting Numbers: [22, 10, 12]
Generated Node #0,0: 20:[22, 10, 12] Operation: 68-56=12
Moving to Node #0,0
Current State: 20:[22, 10, 12], Operations: ['68-56=12']
Exploring Operation: 22-12=10, Resulting Numbers: [10, 10]
Generated Node #0,0,0: 20:[10, 10] Operation: 22-12=10
Moving to Node #0,0,0
Current State: 20:[10, 10], Operations: ['68-56=12', '22-12=10']
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
75,
86,
40,
23
] | 81 | [
"75+40=115",
"115/23=5",
"86-5=81"
] | Current State: 81:[75, 86, 40, 23], Operations: []
Exploring Operation: 75+40=115, Resulting Numbers: [86, 23, 115]
Generated Node #2: [86, 23, 115] from Operation: 75+40=115
Current State: 81:[86, 23, 115], Operations: ['75+40=115']
Exploring Operation: 115/23=5, Resulting Numbers: [86, 5]
Generated Node #3: [86, 5] from Operation: 115/23=5
Current State: 81:[86, 5], Operations: ['75+40=115', '115/23=5']
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[75, 86, 40, 23], Operations: []
Exploring Operation: 86-75=11, Resulting Numbers: [40, 23, 11]
Generated Node #0,0: 81:[40, 23, 11] Operation: 86-75=11
Exploring Operation: 40-23=17, Resulting Numbers: [75, 86, 17]
Generated Node #0,1: 81:[75, 86, 17] Operation: 40-23=17
Exploring Operation: 75-40=35, Resulting Numbers: [86, 23, 35]
Generated Node #0,2: 81:[86, 23, 35] Operation: 75-40=35
Moving to Node #0,2
Current State: 81:[86, 23, 35], Operations: ['75-40=35']
Exploring Operation: 35-23=12, Resulting Numbers: [86, 12]
Generated Node #0,2,0: 81:[86, 12] Operation: 35-23=12
Exploring Operation: 86-23=63, Resulting Numbers: [35, 63]
Generated Node #0,2,1: 81:[35, 63] Operation: 86-23=63
Exploring Operation: 86-35=51, Resulting Numbers: [23, 51]
Generated Node #0,2,2: 81:[23, 51] Operation: 86-35=51
Moving to Node #0,0
Current State: 81:[40, 23, 11], Operations: ['86-75=11']
Exploring Operation: 40-23=17, Resulting Numbers: [11, 17]
Generated Node #0,0,0: 81:[11, 17] Operation: 40-23=17
Exploring Operation: 40-11=29, Resulting Numbers: [23, 29]
Generated Node #0,0,1: 81:[23, 29] Operation: 40-11=29
Exploring Operation: 23-11=12, Resulting Numbers: [40, 12]
Generated Node #0,0,2: 81:[40, 12] Operation: 23-11=12
Moving to Node #0,1
Current State: 81:[75, 86, 17], Operations: ['40-23=17']
Exploring Operation: 86-75=11, Resulting Numbers: [17, 11]
Generated Node #0,1,0: 81:[17, 11] Operation: 86-75=11
Exploring Operation: 75+17=92, Resulting Numbers: [86, 92]
Generated Node #0,1,1: 81:[86, 92] Operation: 75+17=92
Exploring Operation: 86-17=69, Resulting Numbers: [75, 69]
Generated Node #0,1,2: 81:[75, 69] Operation: 86-17=69
Moving to Node #0,0,1
Current State: 81:[23, 29], Operations: ['86-75=11', '40-11=29']
Exploring Operation: 23*29=667, Resulting Numbers: [667]
667,81 unequal: No Solution
Exploring Operation: 29-23=6, Resulting Numbers: [6]
6,81 unequal: No Solution
Exploring Operation: 23+29=52, Resulting Numbers: [52]
52,81 unequal: No Solution
Moving to Node #0,2,0
Current State: 81:[86, 12], Operations: ['75-40=35', '35-23=12']
Exploring Operation: 86*12=1032, Resulting Numbers: [1032]
1032,81 unequal: No Solution
Exploring Operation: 86+12=98, Resulting Numbers: [98]
98,81 unequal: No Solution
Exploring Operation: 86-12=74, Resulting Numbers: [74]
74,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[17, 11], Operations: ['40-23=17', '86-75=11']
Exploring Operation: 17*11=187, Resulting Numbers: [187]
187,81 unequal: No Solution
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,81 unequal: No Solution
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Moving to Node #0,0,0
Current State: 81:[11, 17], Operations: ['86-75=11', '40-23=17']
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,81 unequal: No Solution
Exploring Operation: 11+17=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 11*17=187, Resulting Numbers: [187]
187,81 unequal: No Solution
Moving to Node #0,0,2
Current State: 81:[40, 12], Operations: ['86-75=11', '23-11=12']
Exploring Operation: 40+12=52, Resulting Numbers: [52]
52,81 unequal: No Solution
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 40*12=480, Resulting Numbers: [480]
480,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[86, 92], Operations: ['40-23=17', '75+17=92']
Exploring Operation: 92-86=6, Resulting Numbers: [6]
6,81 unequal: No Solution
Exploring Operation: 86*92=7912, Resulting Numbers: [7912]
7912,81 unequal: No Solution
Exploring Operation: 86+92=178, Resulting Numbers: [178]
178,81 unequal: No Solution
Moving to Node #0,1,2
Current State: 81:[75, 69], Operations: ['40-23=17', '86-17=69']
Exploring Operation: 75+69=144, Resulting Numbers: [144]
144,81 unequal: No Solution
Exploring Operation: 75-69=6, Resulting Numbers: [6]
6,81 unequal: No Solution
Exploring Operation: 75*69=5175, Resulting Numbers: [5175]
5175,81 unequal: No Solution
Moving to Node #0,2,1
Current State: 81:[35, 63], Operations: ['75-40=35', '86-23=63']
Exploring Operation: 63-35=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 35+63=98, Resulting Numbers: [98]
98,81 unequal: No Solution
Exploring Operation: 35*63=2205, Resulting Numbers: [2205]
2205,81 unequal: No Solution
Moving to Node #0,2,2
Current State: 81:[23, 51], Operations: ['75-40=35', '86-35=51']
Exploring Operation: 23*51=1173, Resulting Numbers: [1173]
1173,81 unequal: No Solution
Exploring Operation: 51-23=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 23+51=74, Resulting Numbers: [74]
74,81 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
9,
57,
20,
43
] | 43 | [
"9+57=66",
"43-20=23",
"66-23=43"
] | Current State: 43:[9, 57, 20, 43], Operations: []
Exploring Operation: 9+57=66, Resulting Numbers: [20, 43, 66]
Generated Node #2: [20, 43, 66] from Operation: 9+57=66
Current State: 43:[20, 43, 66], Operations: ['9+57=66']
Exploring Operation: 43-20=23, Resulting Numbers: [66, 23]
Generated Node #3: [66, 23] from Operation: 43-20=23
Current State: 43:[66, 23], Operations: ['9+57=66', '43-20=23']
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[9, 57, 20, 43], Operations: []
Exploring Operation: 20-9=11, Resulting Numbers: [57, 43, 11]
Generated Node #0,0: 43:[57, 43, 11] Operation: 20-9=11
Exploring Operation: 57-9=48, Resulting Numbers: [20, 43, 48]
Generated Node #0,1: 43:[20, 43, 48] Operation: 57-9=48
Exploring Operation: 9+57=66, Resulting Numbers: [20, 43, 66]
Generated Node #0,2: 43:[20, 43, 66] Operation: 9+57=66
Exploring Operation: 9+20=29, Resulting Numbers: [57, 43, 29]
Generated Node #0,3: 43:[57, 43, 29] Operation: 9+20=29
Exploring Operation: 57-20=37, Resulting Numbers: [9, 43, 37]
Generated Node #0,4: 43:[9, 43, 37] Operation: 57-20=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[20, 43, 48], Operations: ['57-9=48']
Exploring Operation: 43-20=23, Resulting Numbers: [48, 23]
Generated Node #0,1,0: 43:[48, 23] Operation: 43-20=23
Exploring Operation: 48-20=28, Resulting Numbers: [43, 28]
Generated Node #0,1,1: 43:[43, 28] Operation: 48-20=28
Exploring Operation: 20+43=63, Resulting Numbers: [48, 63]
Generated Node #0,1,2: 43:[48, 63] Operation: 20+43=63
Exploring Operation: 48-43=5, Resulting Numbers: [20, 5]
Generated Node #0,1,3: 43:[20, 5] Operation: 48-43=5
Exploring Operation: 20+48=68, Resulting Numbers: [43, 68]
Generated Node #0,1,4: 43:[43, 68] Operation: 20+48=68
Moving to Node #0,1,1
Current State: 43:[43, 28], Operations: ['57-9=48', '48-20=28']
Exploring Operation: 43+28=71, Resulting Numbers: [71]
71,43 unequal: No Solution
Exploring Operation: 43-28=15, Resulting Numbers: [15]
15,43 unequal: No Solution
Exploring Operation: 43*28=1204, Resulting Numbers: [1204]
1204,43 unequal: No Solution
Moving to Node #0,1,2
Current State: 43:[48, 63], Operations: ['57-9=48', '20+43=63']
Exploring Operation: 63-48=15, Resulting Numbers: [15]
15,43 unequal: No Solution
Exploring Operation: 48*63=3024, Resulting Numbers: [3024]
3024,43 unequal: No Solution
Exploring Operation: 48+63=111, Resulting Numbers: [111]
111,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[48, 23], Operations: ['57-9=48', '43-20=23']
Exploring Operation: 48+23=71, Resulting Numbers: [71]
71,43 unequal: No Solution
Exploring Operation: 48*23=1104, Resulting Numbers: [1104]
1104,43 unequal: No Solution
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,43 unequal: No Solution
Moving to Node #0,1,4
Current State: 43:[43, 68], Operations: ['57-9=48', '20+48=68']
Exploring Operation: 43+68=111, Resulting Numbers: [111]
111,43 unequal: No Solution
Exploring Operation: 68-43=25, Resulting Numbers: [25]
25,43 unequal: No Solution
Exploring Operation: 43*68=2924, Resulting Numbers: [2924]
2924,43 unequal: No Solution
Moving to Node #0,1,3
Current State: 43:[20, 5], Operations: ['57-9=48', '48-43=5']
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,43 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,43 unequal: No Solution
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,43 unequal: No Solution
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,43 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 #0,3
Current State: 43:[57, 43, 29], Operations: ['9+20=29']
Exploring Operation: 57-43=14, Resulting Numbers: [29, 14]
Generated Node #0,3,0: 43:[29, 14] Operation: 57-43=14
Exploring Operation: 57-29=28, Resulting Numbers: [43, 28]
Generated Node #0,3,1: 43:[43, 28] Operation: 57-29=28
Exploring Operation: 57+29=86, Resulting Numbers: [43, 86]
Generated Node #0,3,2: 43:[43, 86] Operation: 57+29=86
Exploring Operation: 43+29=72, Resulting Numbers: [57, 72]
Generated Node #0,3,3: 43:[57, 72] Operation: 43+29=72
Exploring Operation: 43-29=14, Resulting Numbers: [57, 14]
Generated Node #0,3,4: 43:[57, 14] Operation: 43-29=14
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 43:[43, 28], Operations: ['9+20=29', '57-29=28']
Exploring Operation: 43*28=1204, Resulting Numbers: [1204]
1204,43 unequal: No Solution
Exploring Operation: 43+28=71, Resulting Numbers: [71]
71,43 unequal: No Solution
Exploring Operation: 43-28=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 #0,3,0
Current State: 43:[29, 14], Operations: ['9+20=29', '57-43=14']
Exploring Operation: 29*14=406, Resulting Numbers: [406]
406,43 unequal: No Solution
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,43 unequal: No Solution
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[9, 57, 20, 43], Operations: []
Exploring Operation: 9+20=29, Resulting Numbers: [57, 43, 29]
Generated Node #0,3: 43:[57, 43, 29] Operation: 9+20=29
Moving to Node #0,3
Current State: 43:[57, 43, 29], Operations: ['9+20=29']
Exploring Operation: 57-43=14, Resulting Numbers: [29, 14]
Generated Node #0,3,0: 43:[29, 14] Operation: 57-43=14
Moving to Node #0,3,0
Current State: 43:[29, 14], Operations: ['9+20=29', '57-43=14']
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96441 | hs_5 | sum_heuristic |
[
26,
83,
56,
42
] | 76 | [
"83-26=57",
"56*57=3192",
"3192/42=76"
] | Current State: 76:[26, 83, 56, 42], Operations: []
Exploring Operation: 83-26=57, Resulting Numbers: [56, 42, 57]
Generated Node #2: [56, 42, 57] from Operation: 83-26=57
Current State: 76:[56, 42, 57], Operations: ['83-26=57']
Exploring Operation: 56*57=3192, Resulting Numbers: [42, 3192]
Generated Node #3: [42, 3192] from Operation: 56*57=3192
Current State: 76:[42, 3192], Operations: ['83-26=57', '56*57=3192']
Exploring Operation: 3192/42=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[26, 83, 56, 42], Operations: []
Exploring Operation: 56-42=14, Resulting Numbers: [26, 83, 14]
Generated Node #0,0: 76:[26, 83, 14] Operation: 56-42=14
Exploring Operation: 26+56=82, Resulting Numbers: [83, 42, 82]
Generated Node #0,1: 76:[83, 42, 82] Operation: 26+56=82
Exploring Operation: 56-26=30, Resulting Numbers: [83, 42, 30]
Generated Node #0,2: 76:[83, 42, 30] Operation: 56-26=30
Exploring Operation: 83-56=27, Resulting Numbers: [26, 42, 27]
Generated Node #0,3: 76:[26, 42, 27] Operation: 83-56=27
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[83, 42, 82], Operations: ['26+56=82']
Exploring Operation: 83-82=1, Resulting Numbers: [42, 1]
Generated Node #0,1,0: 76:[42, 1] Operation: 83-82=1
Exploring Operation: 83+42=125, Resulting Numbers: [82, 125]
Generated Node #0,1,1: 76:[82, 125] Operation: 83+42=125
Exploring Operation: 83-42=41, Resulting Numbers: [82, 41]
Generated Node #0,1,2: 76:[82, 41] Operation: 83-42=41
Exploring Operation: 82-42=40, Resulting Numbers: [83, 40]
Generated Node #0,1,3: 76:[83, 40] Operation: 82-42=40
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 76:[42, 1], Operations: ['26+56=82', '83-82=1']
Exploring Operation: 42+1=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Exploring Operation: 42*1=42, Resulting Numbers: [42]
42,76 unequal: No Solution
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,76 unequal: No Solution
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 76:[82, 41], Operations: ['26+56=82', '83-42=41']
Exploring Operation: 82+41=123, Resulting Numbers: [123]
123,76 unequal: No Solution
Exploring Operation: 82/41=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Exploring Operation: 82*41=3362, Resulting Numbers: [3362]
3362,76 unequal: No Solution
Exploring Operation: 82-41=41, Resulting Numbers: [41]
41,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 76:[83, 40], Operations: ['26+56=82', '82-42=40']
Exploring Operation: 83*40=3320, Resulting Numbers: [3320]
3320,76 unequal: No Solution
Exploring Operation: 83+40=123, Resulting Numbers: [123]
123,76 unequal: No Solution
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 76:[82, 125], Operations: ['26+56=82', '83+42=125']
Exploring Operation: 82*125=10250, Resulting Numbers: [10250]
10250,76 unequal: No Solution
Exploring Operation: 82+125=207, Resulting Numbers: [207]
207,76 unequal: No Solution
Exploring Operation: 125-82=43, Resulting Numbers: [43]
43,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[26, 83, 14], Operations: ['56-42=14']
Exploring Operation: 83-26=57, Resulting Numbers: [14, 57]
Generated Node #0,0,0: 76:[14, 57] Operation: 83-26=57
Exploring Operation: 26+14=40, Resulting Numbers: [83, 40]
Generated Node #0,0,1: 76:[83, 40] Operation: 26+14=40
Exploring Operation: 26-14=12, Resulting Numbers: [83, 12]
Generated Node #0,0,2: 76:[83, 12] Operation: 26-14=12
Exploring Operation: 83-14=69, Resulting Numbers: [26, 69]
Generated Node #0,0,3: 76:[26, 69] Operation: 83-14=69
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 76:[83, 40], Operations: ['56-42=14', '26+14=40']
Exploring Operation: 83+40=123, Resulting Numbers: [123]
123,76 unequal: No Solution
Exploring Operation: 83*40=3320, Resulting Numbers: [3320]
3320,76 unequal: No Solution
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 76:[83, 12], Operations: ['56-42=14', '26-14=12']
Exploring Operation: 83-12=71, Resulting Numbers: [71]
71,76 unequal: No Solution
Exploring Operation: 83+12=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Exploring Operation: 83*12=996, Resulting Numbers: [996]
996,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 76:[26, 69], Operations: ['56-42=14', '83-14=69']
Exploring Operation: 26*69=1794, Resulting Numbers: [1794]
1794,76 unequal: No Solution
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Exploring Operation: 26+69=95, Resulting Numbers: [95]
95,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[14, 57], Operations: ['56-42=14', '83-26=57']
Exploring Operation: 14+57=71, Resulting Numbers: [71]
71,76 unequal: No Solution
Exploring Operation: 14*57=798, Resulting Numbers: [798]
798,76 unequal: No Solution
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[83, 42, 30], Operations: ['56-26=30']
Exploring Operation: 83-30=53, Resulting Numbers: [42, 53]
Generated Node #0,2,0: 76:[42, 53] Operation: 83-30=53
Exploring Operation: 42-30=12, Resulting Numbers: [83, 12]
Generated Node #0,2,1: 76:[83, 12] Operation: 42-30=12
Exploring Operation: 42+30=72, Resulting Numbers: [83, 72]
Generated Node #0,2,2: 76:[83, 72] Operation: 42+30=72
Exploring Operation: 83-42=41, Resulting Numbers: [30, 41]
Generated Node #0,2,3: 76:[30, 41] Operation: 83-42=41
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 76:[83, 72], Operations: ['56-26=30', '42+30=72']
Exploring Operation: 83-72=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 83*72=5976, Resulting Numbers: [5976]
5976,76 unequal: No Solution
Exploring Operation: 83+72=155, Resulting Numbers: [155]
155,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 76:[30, 41], Operations: ['56-26=30', '83-42=41']
Exploring Operation: 30*41=1230, Resulting Numbers: [1230]
1230,76 unequal: No Solution
Exploring Operation: 41-30=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 30+41=71, Resulting Numbers: [71]
71,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 76:[83, 12], Operations: ['56-26=30', '42-30=12']
Exploring Operation: 83-12=71, Resulting Numbers: [71]
71,76 unequal: No Solution
Exploring Operation: 83*12=996, Resulting Numbers: [996]
996,76 unequal: No Solution
Exploring Operation: 83+12=95, Resulting Numbers: [95]
95,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 76:[42, 53], Operations: ['56-26=30', '83-30=53']
Exploring Operation: 53-42=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 42+53=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Exploring Operation: 42*53=2226, Resulting Numbers: [2226]
2226,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 76:[26, 42, 27], Operations: ['83-56=27']
Exploring Operation: 27-26=1, Resulting Numbers: [42, 1]
Generated Node #0,3,0: 76:[42, 1] Operation: 27-26=1
Exploring Operation: 42-27=15, Resulting Numbers: [26, 15]
Generated Node #0,3,1: 76:[26, 15] Operation: 42-27=15
Exploring Operation: 42+27=69, Resulting Numbers: [26, 69]
Generated Node #0,3,2: 76:[26, 69] Operation: 42+27=69
Exploring Operation: 42-26=16, Resulting Numbers: [27, 16]
Generated Node #0,3,3: 76:[27, 16] Operation: 42-26=16
Moving to Node #0,3,0
Current State: 76:[42, 1], Operations: ['83-56=27', '27-26=1']
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,76 unequal: No Solution
Exploring Operation: 42*1=42, Resulting Numbers: [42]
42,76 unequal: No Solution
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,76 unequal: No Solution
Exploring Operation: 42+1=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Moving to Node #0,3,3
Current State: 76:[27, 16], Operations: ['83-56=27', '42-26=16']
Exploring Operation: 27*16=432, Resulting Numbers: [432]
432,76 unequal: No Solution
Exploring Operation: 27+16=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Moving to Node #0,3,1
Current State: 76:[26, 15], Operations: ['83-56=27', '42-27=15']
Exploring Operation: 26*15=390, Resulting Numbers: [390]
390,76 unequal: No Solution
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,76 unequal: No Solution
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Moving to Node #0,3,2
Current State: 76:[26, 69], Operations: ['83-56=27', '42+27=69']
Exploring Operation: 26*69=1794, Resulting Numbers: [1794]
1794,76 unequal: No Solution
Exploring Operation: 26+69=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
2,
51,
14,
12
] | 76 | [
"2*51=102",
"14+12=26",
"102-26=76"
] | Current State: 76:[2, 51, 14, 12], Operations: []
Exploring Operation: 2*51=102, Resulting Numbers: [14, 12, 102]
Generated Node #2: [14, 12, 102] from Operation: 2*51=102
Current State: 76:[14, 12, 102], Operations: ['2*51=102']
Exploring Operation: 14+12=26, Resulting Numbers: [102, 26]
Generated Node #3: [102, 26] from Operation: 14+12=26
Current State: 76:[102, 26], Operations: ['2*51=102', '14+12=26']
Exploring Operation: 102-26=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[2, 51, 14, 12], Operations: []
Exploring Operation: 14-12=2, Resulting Numbers: [2, 51, 2]
Generated Node #0,0: 76:[2, 51, 2] Operation: 14-12=2
Exploring Operation: 51-12=39, Resulting Numbers: [2, 14, 39]
Generated Node #0,1: 76:[2, 14, 39] Operation: 51-12=39
Exploring Operation: 51-14=37, Resulting Numbers: [2, 12, 37]
Generated Node #0,2: 76:[2, 12, 37] Operation: 51-14=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[2, 14, 39], Operations: ['51-12=39']
Exploring Operation: 2+14=16, Resulting Numbers: [39, 16]
Generated Node #0,1,0: 76:[39, 16] Operation: 2+14=16
Exploring Operation: 39-2=37, Resulting Numbers: [14, 37]
Generated Node #0,1,1: 76:[14, 37] Operation: 39-2=37
Exploring Operation: 14/2=7, Resulting Numbers: [39, 7]
Generated Node #0,1,2: 76:[39, 7] Operation: 14/2=7
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 76:[39, 16], Operations: ['51-12=39', '2+14=16']
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 39+16=55, Resulting Numbers: [55]
55,76 unequal: No Solution
Exploring Operation: 39*16=624, Resulting Numbers: [624]
624,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 76:[39, 7], Operations: ['51-12=39', '14/2=7']
Exploring Operation: 39+7=46, Resulting Numbers: [46]
46,76 unequal: No Solution
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,76 unequal: No Solution
Exploring Operation: 39*7=273, Resulting Numbers: [273]
273,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 76:[14, 37], Operations: ['51-12=39', '39-2=37']
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 14+37=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Exploring Operation: 14*37=518, Resulting Numbers: [518]
518,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[2, 12, 37], Operations: ['51-14=37']
Exploring Operation: 2*12=24, Resulting Numbers: [37, 24]
Generated Node #0,2,0: 76:[37, 24] Operation: 2*12=24
Exploring Operation: 2+12=14, Resulting Numbers: [37, 14]
Generated Node #0,2,1: 76:[37, 14] Operation: 2+12=14
Exploring Operation: 12/2=6, Resulting Numbers: [37, 6]
Generated Node #0,2,2: 76:[37, 6] Operation: 12/2=6
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 76:[37, 6], Operations: ['51-14=37', '12/2=6']
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,76 unequal: No Solution
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Exploring Operation: 37*6=222, Resulting Numbers: [222]
222,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 76:[37, 24], Operations: ['51-14=37', '2*12=24']
Exploring Operation: 37*24=888, Resulting Numbers: [888]
888,76 unequal: No Solution
Exploring Operation: 37+24=61, Resulting Numbers: [61]
61,76 unequal: No Solution
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 76:[37, 14], Operations: ['51-14=37', '2+12=14']
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 37+14=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Exploring Operation: 37*14=518, Resulting Numbers: [518]
518,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[2, 51, 2], Operations: ['14-12=2']
Exploring Operation: 51-2=49, Resulting Numbers: [2, 49]
Generated Node #0,0,0: 76:[2, 49] Operation: 51-2=49
Exploring Operation: 51-2=49, Resulting Numbers: [2, 49]
Generated Node #0,0,1: 76:[2, 49] Operation: 51-2=49
Exploring Operation: 2+2=4, Resulting Numbers: [51, 4]
Generated Node #0,0,2: 76:[51, 4] Operation: 2+2=4
Moving to Node #0,0,0
Current State: 76:[2, 49], Operations: ['14-12=2', '51-2=49']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,76 unequal: No Solution
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[2, 49], Operations: ['14-12=2', '51-2=49']
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,76 unequal: No Solution
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,76 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[51, 4], Operations: ['14-12=2', '2+2=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,76 unequal: No Solution
Exploring Operation: 51*4=204, Resulting Numbers: [204]
204,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
45,
29,
46,
93
] | 63 | [
"45-29=16",
"93-46=47",
"16+47=63"
] | Current State: 63:[45, 29, 46, 93], Operations: []
Exploring Operation: 45-29=16, Resulting Numbers: [46, 93, 16]
Generated Node #2: [46, 93, 16] from Operation: 45-29=16
Current State: 63:[46, 93, 16], Operations: ['45-29=16']
Exploring Operation: 93-46=47, Resulting Numbers: [16, 47]
Generated Node #3: [16, 47] from Operation: 93-46=47
Current State: 63:[16, 47], Operations: ['45-29=16', '93-46=47']
Exploring Operation: 16+47=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[45, 29, 46, 93], Operations: []
Exploring Operation: 46-45=1, Resulting Numbers: [29, 93, 1]
Generated Node #0,0: 63:[29, 93, 1] Operation: 46-45=1
Exploring Operation: 93-29=64, Resulting Numbers: [45, 46, 64]
Generated Node #0,1: 63:[45, 46, 64] Operation: 93-29=64
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[45, 46, 64], Operations: ['93-29=64']
Exploring Operation: 64-45=19, Resulting Numbers: [46, 19]
Generated Node #0,1,0: 63:[46, 19] Operation: 64-45=19
Exploring Operation: 46-45=1, Resulting Numbers: [64, 1]
Generated Node #0,1,1: 63:[64, 1] Operation: 46-45=1
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 63:[64, 1], Operations: ['93-29=64', '46-45=1']
Exploring Operation: 64*1=64, Resulting Numbers: [64]
64,63 unequal: No Solution
Exploring Operation: 64-1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[45, 29, 46, 93], Operations: []
Exploring Operation: 93-29=64, Resulting Numbers: [45, 46, 64]
Generated Node #0,1: 63:[45, 46, 64] Operation: 93-29=64
Moving to Node #0,1
Current State: 63:[45, 46, 64], Operations: ['93-29=64']
Exploring Operation: 46-45=1, Resulting Numbers: [64, 1]
Generated Node #0,1,1: 63:[64, 1] Operation: 46-45=1
Moving to Node #0,1,1
Current State: 63:[64, 1], Operations: ['93-29=64', '46-45=1']
Exploring Operation: 64-1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
59,
39,
50,
16
] | 54 | [
"59-39=20",
"50-16=34",
"20+34=54"
] | Current State: 54:[59, 39, 50, 16], Operations: []
Exploring Operation: 59-39=20, Resulting Numbers: [50, 16, 20]
Generated Node #2: [50, 16, 20] from Operation: 59-39=20
Current State: 54:[50, 16, 20], Operations: ['59-39=20']
Exploring Operation: 50-16=34, Resulting Numbers: [20, 34]
Generated Node #3: [20, 34] from Operation: 50-16=34
Current State: 54:[20, 34], Operations: ['59-39=20', '50-16=34']
Exploring Operation: 20+34=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[59, 39, 50, 16], Operations: []
Exploring Operation: 59-50=9, Resulting Numbers: [39, 16, 9]
Generated Node #0,0: 54:[39, 16, 9] Operation: 59-50=9
Exploring Operation: 59-39=20, Resulting Numbers: [50, 16, 20]
Generated Node #0,1: 54:[50, 16, 20] Operation: 59-39=20
Exploring Operation: 39-16=23, Resulting Numbers: [59, 50, 23]
Generated Node #0,2: 54:[59, 50, 23] Operation: 39-16=23
Exploring Operation: 50-39=11, Resulting Numbers: [59, 16, 11]
Generated Node #0,3: 54:[59, 16, 11] Operation: 50-39=11
Exploring Operation: 39+16=55, Resulting Numbers: [59, 50, 55]
Generated Node #0,4: 54:[59, 50, 55] Operation: 39+16=55
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[50, 16, 20], Operations: ['59-39=20']
Exploring Operation: 16+20=36, Resulting Numbers: [50, 36]
Generated Node #0,1,0: 54:[50, 36] Operation: 16+20=36
Exploring Operation: 50-16=34, Resulting Numbers: [20, 34]
Generated Node #0,1,1: 54:[20, 34] Operation: 50-16=34
Exploring Operation: 20-16=4, Resulting Numbers: [50, 4]
Generated Node #0,1,2: 54:[50, 4] Operation: 20-16=4
Exploring Operation: 50-20=30, Resulting Numbers: [16, 30]
Generated Node #0,1,3: 54:[16, 30] Operation: 50-20=30
Exploring Operation: 50+16=66, Resulting Numbers: [20, 66]
Generated Node #0,1,4: 54:[20, 66] Operation: 50+16=66
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 54:[50, 4], Operations: ['59-39=20', '20-16=4']
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,54 unequal: No Solution
Exploring Operation: 50+4=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[59, 39, 50, 16], Operations: []
Exploring Operation: 59-39=20, Resulting Numbers: [50, 16, 20]
Generated Node #0,1: 54:[50, 16, 20] Operation: 59-39=20
Moving to Node #0,1
Current State: 54:[50, 16, 20], Operations: ['59-39=20']
Exploring Operation: 20-16=4, Resulting Numbers: [50, 4]
Generated Node #0,1,2: 54:[50, 4] Operation: 20-16=4
Moving to Node #0,1,2
Current State: 54:[50, 4], Operations: ['59-39=20', '20-16=4']
Exploring Operation: 50+4=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
53,
23,
70,
5
] | 45 | [
"53-23=30",
"70+5=75",
"75-30=45"
] | Current State: 45:[53, 23, 70, 5], Operations: []
Exploring Operation: 53-23=30, Resulting Numbers: [70, 5, 30]
Generated Node #2: [70, 5, 30] from Operation: 53-23=30
Current State: 45:[70, 5, 30], Operations: ['53-23=30']
Exploring Operation: 70+5=75, Resulting Numbers: [30, 75]
Generated Node #3: [30, 75] from Operation: 70+5=75
Current State: 45:[30, 75], Operations: ['53-23=30', '70+5=75']
Exploring Operation: 75-30=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[53, 23, 70, 5], Operations: []
Exploring Operation: 70-53=17, Resulting Numbers: [23, 5, 17]
Generated Node #0,0: 45:[23, 5, 17] Operation: 70-53=17
Exploring Operation: 70/5=14, Resulting Numbers: [53, 23, 14]
Generated Node #0,1: 45:[53, 23, 14] Operation: 70/5=14
Exploring Operation: 70-23=47, Resulting Numbers: [53, 5, 47]
Generated Node #0,2: 45:[53, 5, 47] Operation: 70-23=47
Exploring Operation: 23-5=18, Resulting Numbers: [53, 70, 18]
Generated Node #0,3: 45:[53, 70, 18] Operation: 23-5=18
Exploring Operation: 53-5=48, Resulting Numbers: [23, 70, 48]
Generated Node #0,4: 45:[23, 70, 48] Operation: 53-5=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[23, 5, 17], Operations: ['70-53=17']
Exploring Operation: 23-5=18, Resulting Numbers: [17, 18]
Generated Node #0,0,0: 45:[17, 18] Operation: 23-5=18
Exploring Operation: 17-5=12, Resulting Numbers: [23, 12]
Generated Node #0,0,1: 45:[23, 12] Operation: 17-5=12
Exploring Operation: 23+17=40, Resulting Numbers: [5, 40]
Generated Node #0,0,2: 45:[5, 40] Operation: 23+17=40
Exploring Operation: 23+5=28, Resulting Numbers: [17, 28]
Generated Node #0,0,3: 45:[17, 28] Operation: 23+5=28
Exploring Operation: 23-17=6, Resulting Numbers: [5, 6]
Generated Node #0,0,4: 45:[5, 6] Operation: 23-17=6
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 45:[5, 6], Operations: ['70-53=17', '23-17=6']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,45 unequal: No Solution
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 45:[17, 18], Operations: ['70-53=17', '23-5=18']
Exploring Operation: 17+18=35, Resulting Numbers: [35]
35,45 unequal: No Solution
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,45 unequal: No Solution
Exploring Operation: 17*18=306, Resulting Numbers: [306]
306,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 45:[5, 40], Operations: ['70-53=17', '23+17=40']
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[53, 23, 70, 5], Operations: []
Exploring Operation: 70-53=17, Resulting Numbers: [23, 5, 17]
Generated Node #0,0: 45:[23, 5, 17] Operation: 70-53=17
Moving to Node #0,0
Current State: 45:[23, 5, 17], Operations: ['70-53=17']
Exploring Operation: 23+17=40, Resulting Numbers: [5, 40]
Generated Node #0,0,2: 45:[5, 40] Operation: 23+17=40
Moving to Node #0,0,2
Current State: 45:[5, 40], Operations: ['70-53=17', '23+17=40']
Exploring Operation: 5+40=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_5 | mult_heuristic |
[
90,
61,
95,
94
] | 31 | [
"95-90=5",
"61+94=155",
"155/5=31"
] | Current State: 31:[90, 61, 95, 94], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [61, 94, 5]
Generated Node #2: [61, 94, 5] from Operation: 95-90=5
Current State: 31:[61, 94, 5], Operations: ['95-90=5']
Exploring Operation: 61+94=155, Resulting Numbers: [5, 155]
Generated Node #3: [5, 155] from Operation: 61+94=155
Current State: 31:[5, 155], Operations: ['95-90=5', '61+94=155']
Exploring Operation: 155/5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[90, 61, 95, 94], Operations: []
Exploring Operation: 95-90=5, Resulting Numbers: [61, 94, 5]
Generated Node #0,0: 31:[61, 94, 5] Operation: 95-90=5
Exploring Operation: 95-61=34, Resulting Numbers: [90, 94, 34]
Generated Node #0,1: 31:[90, 94, 34] Operation: 95-61=34
Exploring Operation: 95-94=1, Resulting Numbers: [90, 61, 1]
Generated Node #0,2: 31:[90, 61, 1] Operation: 95-94=1
Exploring Operation: 94-90=4, Resulting Numbers: [61, 95, 4]
Generated Node #0,3: 31:[61, 95, 4] Operation: 94-90=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[61, 94, 5], Operations: ['95-90=5']
Exploring Operation: 61+5=66, Resulting Numbers: [94, 66]
Generated Node #0,0,0: 31:[94, 66] Operation: 61+5=66
Exploring Operation: 94-61=33, Resulting Numbers: [5, 33]
Generated Node #0,0,1: 31:[5, 33] Operation: 94-61=33
Exploring Operation: 61-5=56, Resulting Numbers: [94, 56]
Generated Node #0,0,2: 31:[94, 56] Operation: 61-5=56
Exploring Operation: 94-5=89, Resulting Numbers: [61, 89]
Generated Node #0,0,3: 31:[61, 89] Operation: 94-5=89
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 31:[5, 33], Operations: ['95-90=5', '94-61=33']
Exploring Operation: 5*33=165, Resulting Numbers: [165]
165,31 unequal: No Solution
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,31 unequal: No Solution
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,31 unequal: No Solution
No 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: 31:[94, 56], Operations: ['95-90=5', '61-5=56']
Exploring Operation: 94+56=150, Resulting Numbers: [150]
150,31 unequal: No Solution
Exploring Operation: 94-56=38, Resulting Numbers: [38]
38,31 unequal: No Solution
Exploring Operation: 94*56=5264, Resulting Numbers: [5264]
5264,31 unequal: No Solution
No 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: 31:[61, 89], Operations: ['95-90=5', '94-5=89']
Exploring Operation: 61*89=5429, Resulting Numbers: [5429]
5429,31 unequal: No Solution
Exploring Operation: 61+89=150, Resulting Numbers: [150]
150,31 unequal: No Solution
Exploring Operation: 89-61=28, Resulting Numbers: [28]
28,31 unequal: No Solution
No 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: 31:[94, 66], Operations: ['95-90=5', '61+5=66']
Exploring Operation: 94-66=28, Resulting Numbers: [28]
28,31 unequal: No Solution
Exploring Operation: 94*66=6204, Resulting Numbers: [6204]
6204,31 unequal: No Solution
Exploring Operation: 94+66=160, Resulting Numbers: [160]
160,31 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: 31:[90, 61, 1], Operations: ['95-94=1']
Exploring Operation: 90*1=90, Resulting Numbers: [61, 90]
Generated Node #0,2,0: 31:[61, 90] Operation: 90*1=90
Exploring Operation: 90-1=89, Resulting Numbers: [61, 89]
Generated Node #0,2,1: 31:[61, 89] Operation: 90-1=89
Exploring Operation: 90-61=29, Resulting Numbers: [1, 29]
Generated Node #0,2,2: 31:[1, 29] Operation: 90-61=29
Exploring Operation: 61-1=60, Resulting Numbers: [90, 60]
Generated Node #0,2,3: 31:[90, 60] Operation: 61-1=60
Moving to Node #0,2,2
Current State: 31:[1, 29], Operations: ['95-94=1', '90-61=29']
Exploring Operation: 29/1=29, Resulting Numbers: [29]
29,31 unequal: No Solution
Exploring Operation: 1+29=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,31 unequal: No Solution
Exploring Operation: 1*29=29, Resulting Numbers: [29]
29,31 unequal: No Solution
Moving to Node #0,2,3
Current State: 31:[90, 60], Operations: ['95-94=1', '61-1=60']
Exploring Operation: 90+60=150, Resulting Numbers: [150]
150,31 unequal: No Solution
Exploring Operation: 90*60=5400, Resulting Numbers: [5400]
5400,31 unequal: No Solution
Exploring Operation: 90-60=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Moving to Node #0,2,1
Current State: 31:[61, 89], Operations: ['95-94=1', '90-1=89']
Exploring Operation: 89-61=28, Resulting Numbers: [28]
28,31 unequal: No Solution
Exploring Operation: 61+89=150, Resulting Numbers: [150]
150,31 unequal: No Solution
Exploring Operation: 61*89=5429, Resulting Numbers: [5429]
5429,31 unequal: No Solution
Moving to Node #0,2,0
Current State: 31:[61, 90], Operations: ['95-94=1', '90*1=90']
Exploring Operation: 61+90=151, Resulting Numbers: [151]
151,31 unequal: No Solution
Exploring Operation: 61*90=5490, Resulting Numbers: [5490]
5490,31 unequal: No Solution
Exploring Operation: 90-61=29, Resulting Numbers: [29]
29,31 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 #0,3
Current State: 31:[61, 95, 4], Operations: ['94-90=4']
Exploring Operation: 61+4=65, Resulting Numbers: [95, 65]
Generated Node #0,3,0: 31:[95, 65] Operation: 61+4=65
Exploring Operation: 61-4=57, Resulting Numbers: [95, 57]
Generated Node #0,3,1: 31:[95, 57] Operation: 61-4=57
Exploring Operation: 95-61=34, Resulting Numbers: [4, 34]
Generated Node #0,3,2: 31:[4, 34] Operation: 95-61=34
Exploring Operation: 95-4=91, Resulting Numbers: [61, 91]
Generated Node #0,3,3: 31:[61, 91] Operation: 95-4=91
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 31:[4, 34], Operations: ['94-90=4', '95-61=34']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 4+34=38, Resulting Numbers: [38]
38,31 unequal: No Solution
Exploring Operation: 4*34=136, Resulting Numbers: [136]
136,31 unequal: No Solution
No 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: 31:[95, 57], Operations: ['94-90=4', '61-4=57']
Exploring Operation: 95+57=152, Resulting Numbers: [152]
152,31 unequal: No Solution
Exploring Operation: 95*57=5415, Resulting Numbers: [5415]
5415,31 unequal: No Solution
Exploring Operation: 95-57=38, Resulting Numbers: [38]
38,31 unequal: No Solution
No 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: 31:[61, 91], Operations: ['94-90=4', '95-4=91']
Exploring Operation: 61*91=5551, Resulting Numbers: [5551]
5551,31 unequal: No Solution
Exploring Operation: 91-61=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 61+91=152, Resulting Numbers: [152]
152,31 unequal: No Solution
No 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: 31:[95, 65], Operations: ['94-90=4', '61+4=65']
Exploring Operation: 95+65=160, Resulting Numbers: [160]
160,31 unequal: No Solution
Exploring Operation: 95-65=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 95*65=6175, Resulting Numbers: [6175]
6175,31 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: 31:[90, 94, 34], Operations: ['95-61=34']
Exploring Operation: 90+94=184, Resulting Numbers: [34, 184]
Generated Node #0,1,0: 31:[34, 184] Operation: 90+94=184
Exploring Operation: 90-34=56, Resulting Numbers: [94, 56]
Generated Node #0,1,1: 31:[94, 56] Operation: 90-34=56
Exploring Operation: 94-90=4, Resulting Numbers: [34, 4]
Generated Node #0,1,2: 31:[34, 4] Operation: 94-90=4
Exploring Operation: 94-34=60, Resulting Numbers: [90, 60]
Generated Node #0,1,3: 31:[90, 60] Operation: 94-34=60
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 31:[34, 4], Operations: ['95-61=34', '94-90=4']
Exploring Operation: 34*4=136, Resulting Numbers: [136]
136,31 unequal: No Solution
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,31 unequal: No Solution
No 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: 31:[94, 56], Operations: ['95-61=34', '90-34=56']
Exploring Operation: 94+56=150, Resulting Numbers: [150]
150,31 unequal: No Solution
Exploring Operation: 94*56=5264, Resulting Numbers: [5264]
5264,31 unequal: No Solution
Exploring Operation: 94-56=38, Resulting Numbers: [38]
38,31 unequal: No Solution
No 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: 31:[90, 60], Operations: ['95-61=34', '94-34=60']
Exploring Operation: 90-60=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 90*60=5400, Resulting Numbers: [5400]
5400,31 unequal: No Solution
Exploring Operation: 90+60=150, Resulting Numbers: [150]
150,31 unequal: No Solution
No 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: 31:[34, 184], Operations: ['95-61=34', '90+94=184']
Exploring Operation: 184-34=150, Resulting Numbers: [150]
150,31 unequal: No Solution
Exploring Operation: 34*184=6256, Resulting Numbers: [6256]
6256,31 unequal: No Solution
Exploring Operation: 34+184=218, Resulting Numbers: [218]
218,31 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 |
[
15,
5,
57,
18
] | 18 | [
"15+57=72",
"5*18=90",
"90-72=18"
] | Current State: 18:[15, 5, 57, 18], Operations: []
Exploring Operation: 15+57=72, Resulting Numbers: [5, 18, 72]
Generated Node #2: [5, 18, 72] from Operation: 15+57=72
Current State: 18:[5, 18, 72], Operations: ['15+57=72']
Exploring Operation: 5*18=90, Resulting Numbers: [72, 90]
Generated Node #3: [72, 90] from Operation: 5*18=90
Current State: 18:[72, 90], Operations: ['15+57=72', '5*18=90']
Exploring Operation: 90-72=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[15, 5, 57, 18], Operations: []
Exploring Operation: 57-15=42, Resulting Numbers: [5, 18, 42]
Generated Node #0,0: 18:[5, 18, 42] Operation: 57-15=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[5, 18, 42], Operations: ['57-15=42']
Exploring Operation: 42-18=24, Resulting Numbers: [5, 24]
Generated Node #0,0,0: 18:[5, 24] Operation: 42-18=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 18:[5, 24], Operations: ['57-15=42', '42-18=24']
Exploring Operation: 24-5=19, Resulting Numbers: [19]
19,18 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
97,
91,
96,
70
] | 32 | [
"97-91=6",
"96-70=26",
"6+26=32"
] | Current State: 32:[97, 91, 96, 70], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [96, 70, 6]
Generated Node #2: [96, 70, 6] from Operation: 97-91=6
Current State: 32:[96, 70, 6], Operations: ['97-91=6']
Exploring Operation: 96-70=26, Resulting Numbers: [6, 26]
Generated Node #3: [6, 26] from Operation: 96-70=26
Current State: 32:[6, 26], Operations: ['97-91=6', '96-70=26']
Exploring Operation: 6+26=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[97, 91, 96, 70], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [96, 70, 6]
Generated Node #0,0: 32:[96, 70, 6] Operation: 97-91=6
Exploring Operation: 97-96=1, Resulting Numbers: [91, 70, 1]
Generated Node #0,1: 32:[91, 70, 1] Operation: 97-96=1
Exploring Operation: 97-70=27, Resulting Numbers: [91, 96, 27]
Generated Node #0,2: 32:[91, 96, 27] Operation: 97-70=27
Exploring Operation: 96-91=5, Resulting Numbers: [97, 70, 5]
Generated Node #0,3: 32:[97, 70, 5] Operation: 96-91=5
Exploring Operation: 96-70=26, Resulting Numbers: [97, 91, 26]
Generated Node #0,4: 32:[97, 91, 26] Operation: 96-70=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[91, 70, 1], Operations: ['97-96=1']
Exploring Operation: 91/1=91, Resulting Numbers: [70, 91]
Generated Node #0,1,0: 32:[70, 91] Operation: 91/1=91
Exploring Operation: 91*1=91, Resulting Numbers: [70, 91]
Generated Node #0,1,1: 32:[70, 91] Operation: 91*1=91
Exploring Operation: 70-1=69, Resulting Numbers: [91, 69]
Generated Node #0,1,2: 32:[91, 69] Operation: 70-1=69
Exploring Operation: 91-1=90, Resulting Numbers: [70, 90]
Generated Node #0,1,3: 32:[70, 90] Operation: 91-1=90
Exploring Operation: 91-70=21, Resulting Numbers: [1, 21]
Generated Node #0,1,4: 32:[1, 21] Operation: 91-70=21
Moving to Node #0,1,4
Current State: 32:[1, 21], Operations: ['97-96=1', '91-70=21']
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,32 unequal: No Solution
Exploring Operation: 1*21=21, Resulting Numbers: [21]
21,32 unequal: No Solution
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,32 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,32 unequal: No Solution
Moving to Node #0,1,3
Current State: 32:[70, 90], Operations: ['97-96=1', '91-1=90']
Exploring Operation: 70+90=160, Resulting Numbers: [160]
160,32 unequal: No Solution
Exploring Operation: 90-70=20, Resulting Numbers: [20]
20,32 unequal: No Solution
Exploring Operation: 70*90=6300, Resulting Numbers: [6300]
6300,32 unequal: No Solution
Moving to Node #0,1,2
Current State: 32:[91, 69], Operations: ['97-96=1', '70-1=69']
Exploring Operation: 91-69=22, Resulting Numbers: [22]
22,32 unequal: No Solution
Exploring Operation: 91+69=160, Resulting Numbers: [160]
160,32 unequal: No Solution
Exploring Operation: 91*69=6279, Resulting Numbers: [6279]
6279,32 unequal: No Solution
Moving to Node #0,1,0
Current State: 32:[70, 91], Operations: ['97-96=1', '91/1=91']
Exploring Operation: 91-70=21, Resulting Numbers: [21]
21,32 unequal: No Solution
Exploring Operation: 70*91=6370, Resulting Numbers: [6370]
6370,32 unequal: No Solution
Exploring Operation: 70+91=161, Resulting Numbers: [161]
161,32 unequal: No Solution
Moving to Node #0,1,1
Current State: 32:[70, 91], Operations: ['97-96=1', '91*1=91']
Exploring Operation: 91-70=21, Resulting Numbers: [21]
21,32 unequal: No Solution
Exploring Operation: 70+91=161, Resulting Numbers: [161]
161,32 unequal: No Solution
Exploring Operation: 70*91=6370, Resulting Numbers: [6370]
6370,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[96, 70, 6], Operations: ['97-91=6']
Exploring Operation: 96-70=26, Resulting Numbers: [6, 26]
Generated Node #0,0,0: 32:[6, 26] Operation: 96-70=26
Exploring Operation: 96-6=90, Resulting Numbers: [70, 90]
Generated Node #0,0,1: 32:[70, 90] Operation: 96-6=90
Exploring Operation: 96/6=16, Resulting Numbers: [70, 16]
Generated Node #0,0,2: 32:[70, 16] Operation: 96/6=16
Exploring Operation: 70-6=64, Resulting Numbers: [96, 64]
Generated Node #0,0,3: 32:[96, 64] Operation: 70-6=64
Exploring Operation: 96+6=102, Resulting Numbers: [70, 102]
Generated Node #0,0,4: 32:[70, 102] Operation: 96+6=102
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 32:[6, 26], Operations: ['97-91=6', '96-70=26']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,32 unequal: No Solution
Exploring Operation: 6+26=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[97, 91, 96, 70], Operations: []
Exploring Operation: 97-91=6, Resulting Numbers: [96, 70, 6]
Generated Node #0,0: 32:[96, 70, 6] Operation: 97-91=6
Moving to Node #0,0
Current State: 32:[96, 70, 6], Operations: ['97-91=6']
Exploring Operation: 96-70=26, Resulting Numbers: [6, 26]
Generated Node #0,0,0: 32:[6, 26] Operation: 96-70=26
Moving to Node #0,0,0
Current State: 32:[6, 26], Operations: ['97-91=6', '96-70=26']
Exploring Operation: 6+26=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_5 | mult_heuristic |
[
39,
60,
73,
70
] | 67 | [
"73-60=13",
"39/13=3",
"70-3=67"
] | Current State: 67:[39, 60, 73, 70], Operations: []
Exploring Operation: 73-60=13, Resulting Numbers: [39, 70, 13]
Generated Node #2: [39, 70, 13] from Operation: 73-60=13
Current State: 67:[39, 70, 13], Operations: ['73-60=13']
Exploring Operation: 39/13=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 39/13=3
Current State: 67:[70, 3], Operations: ['73-60=13', '39/13=3']
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[39, 60, 73, 70], Operations: []
Exploring Operation: 60-39=21, Resulting Numbers: [73, 70, 21]
Generated Node #0,0: 67:[73, 70, 21] Operation: 60-39=21
Exploring Operation: 73-39=34, Resulting Numbers: [60, 70, 34]
Generated Node #0,1: 67:[60, 70, 34] Operation: 73-39=34
Exploring Operation: 70-39=31, Resulting Numbers: [60, 73, 31]
Generated Node #0,2: 67:[60, 73, 31] Operation: 70-39=31
Exploring Operation: 39+60=99, Resulting Numbers: [73, 70, 99]
Generated Node #0,3: 67:[73, 70, 99] Operation: 39+60=99
Start Sub Search at level 1: Moving to Node #0,3
Current State: 67:[73, 70, 99], Operations: ['39+60=99']
Exploring Operation: 99-73=26, Resulting Numbers: [70, 26]
Generated Node #0,3,0: 67:[70, 26] Operation: 99-73=26
Exploring Operation: 73+70=143, Resulting Numbers: [99, 143]
Generated Node #0,3,1: 67:[99, 143] Operation: 73+70=143
Exploring Operation: 73-70=3, Resulting Numbers: [99, 3]
Generated Node #0,3,2: 67:[99, 3] Operation: 73-70=3
Exploring Operation: 99-70=29, Resulting Numbers: [73, 29]
Generated Node #0,3,3: 67:[73, 29] Operation: 99-70=29
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 67:[70, 26], Operations: ['39+60=99', '99-73=26']
Exploring Operation: 70*26=1820, Resulting Numbers: [1820]
1820,67 unequal: No Solution
Exploring Operation: 70+26=96, Resulting Numbers: [96]
96,67 unequal: No Solution
Exploring Operation: 70-26=44, Resulting Numbers: [44]
44,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 67:[73, 29], Operations: ['39+60=99', '99-70=29']
Exploring Operation: 73-29=44, Resulting Numbers: [44]
44,67 unequal: No Solution
Exploring Operation: 73+29=102, Resulting Numbers: [102]
102,67 unequal: No Solution
Exploring Operation: 73*29=2117, Resulting Numbers: [2117]
2117,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 67:[99, 3], Operations: ['39+60=99', '73-70=3']
Exploring Operation: 99+3=102, Resulting Numbers: [102]
102,67 unequal: No Solution
Exploring Operation: 99/3=33, Resulting Numbers: [33]
33,67 unequal: No Solution
Exploring Operation: 99-3=96, Resulting Numbers: [96]
96,67 unequal: No Solution
Exploring Operation: 99*3=297, Resulting Numbers: [297]
297,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 67:[99, 143], Operations: ['39+60=99', '73+70=143']
Exploring Operation: 99*143=14157, Resulting Numbers: [14157]
14157,67 unequal: No Solution
Exploring Operation: 99+143=242, Resulting Numbers: [242]
242,67 unequal: No Solution
Exploring Operation: 143-99=44, Resulting Numbers: [44]
44,67 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: 67:[60, 70, 34], Operations: ['73-39=34']
Exploring Operation: 60-34=26, Resulting Numbers: [70, 26]
Generated Node #0,1,0: 67:[70, 26] Operation: 60-34=26
Exploring Operation: 70+34=104, Resulting Numbers: [60, 104]
Generated Node #0,1,1: 67:[60, 104] Operation: 70+34=104
Exploring Operation: 70-34=36, Resulting Numbers: [60, 36]
Generated Node #0,1,2: 67:[60, 36] Operation: 70-34=36
Exploring Operation: 60+34=94, Resulting Numbers: [70, 94]
Generated Node #0,1,3: 67:[70, 94] Operation: 60+34=94
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 67:[70, 94], Operations: ['73-39=34', '60+34=94']
Exploring Operation: 70*94=6580, Resulting Numbers: [6580]
6580,67 unequal: No Solution
Exploring Operation: 94-70=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Exploring Operation: 70+94=164, Resulting Numbers: [164]
164,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 67:[60, 36], Operations: ['73-39=34', '70-34=36']
Exploring Operation: 60+36=96, Resulting Numbers: [96]
96,67 unequal: No Solution
Exploring Operation: 60-36=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Exploring Operation: 60*36=2160, Resulting Numbers: [2160]
2160,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[70, 26], Operations: ['73-39=34', '60-34=26']
Exploring Operation: 70-26=44, Resulting Numbers: [44]
44,67 unequal: No Solution
Exploring Operation: 70*26=1820, Resulting Numbers: [1820]
1820,67 unequal: No Solution
Exploring Operation: 70+26=96, Resulting Numbers: [96]
96,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[60, 104], Operations: ['73-39=34', '70+34=104']
Exploring Operation: 60+104=164, Resulting Numbers: [164]
164,67 unequal: No Solution
Exploring Operation: 104-60=44, Resulting Numbers: [44]
44,67 unequal: No Solution
Exploring Operation: 60*104=6240, Resulting Numbers: [6240]
6240,67 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: 67:[60, 73, 31], Operations: ['70-39=31']
Exploring Operation: 73-31=42, Resulting Numbers: [60, 42]
Generated Node #0,2,0: 67:[60, 42] Operation: 73-31=42
Exploring Operation: 73+31=104, Resulting Numbers: [60, 104]
Generated Node #0,2,1: 67:[60, 104] Operation: 73+31=104
Exploring Operation: 60+31=91, Resulting Numbers: [73, 91]
Generated Node #0,2,2: 67:[73, 91] Operation: 60+31=91
Exploring Operation: 60-31=29, Resulting Numbers: [73, 29]
Generated Node #0,2,3: 67:[73, 29] Operation: 60-31=29
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 67:[73, 91], Operations: ['70-39=31', '60+31=91']
Exploring Operation: 73+91=164, Resulting Numbers: [164]
164,67 unequal: No Solution
Exploring Operation: 91-73=18, Resulting Numbers: [18]
18,67 unequal: No Solution
Exploring Operation: 73*91=6643, Resulting Numbers: [6643]
6643,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 67:[60, 42], Operations: ['70-39=31', '73-31=42']
Exploring Operation: 60*42=2520, Resulting Numbers: [2520]
2520,67 unequal: No Solution
Exploring Operation: 60-42=18, Resulting Numbers: [18]
18,67 unequal: No Solution
Exploring Operation: 60+42=102, Resulting Numbers: [102]
102,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 67:[60, 104], Operations: ['70-39=31', '73+31=104']
Exploring Operation: 104-60=44, Resulting Numbers: [44]
44,67 unequal: No Solution
Exploring Operation: 60*104=6240, Resulting Numbers: [6240]
6240,67 unequal: No Solution
Exploring Operation: 60+104=164, Resulting Numbers: [164]
164,67 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 67:[73, 29], Operations: ['70-39=31', '60-31=29']
Exploring Operation: 73*29=2117, Resulting Numbers: [2117]
2117,67 unequal: No Solution
Exploring Operation: 73+29=102, Resulting Numbers: [102]
102,67 unequal: No Solution
Exploring Operation: 73-29=44, Resulting Numbers: [44]
44,67 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: 67:[73, 70, 21], Operations: ['60-39=21']
Exploring Operation: 70+21=91, Resulting Numbers: [73, 91]
Generated Node #0,0,0: 67:[73, 91] Operation: 70+21=91
Exploring Operation: 70-21=49, Resulting Numbers: [73, 49]
Generated Node #0,0,1: 67:[73, 49] Operation: 70-21=49
Exploring Operation: 73+21=94, Resulting Numbers: [70, 94]
Generated Node #0,0,2: 67:[70, 94] Operation: 73+21=94
Exploring Operation: 73-21=52, Resulting Numbers: [70, 52]
Generated Node #0,0,3: 67:[70, 52] Operation: 73-21=52
Moving to Node #0,0,3
Current State: 67:[70, 52], Operations: ['60-39=21', '73-21=52']
Exploring Operation: 70+52=122, Resulting Numbers: [122]
122,67 unequal: No Solution
Exploring Operation: 70*52=3640, Resulting Numbers: [3640]
3640,67 unequal: No Solution
Exploring Operation: 70-52=18, Resulting Numbers: [18]
18,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[73, 49], Operations: ['60-39=21', '70-21=49']
Exploring Operation: 73*49=3577, Resulting Numbers: [3577]
3577,67 unequal: No Solution
Exploring Operation: 73+49=122, Resulting Numbers: [122]
122,67 unequal: No Solution
Exploring Operation: 73-49=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[70, 94], Operations: ['60-39=21', '73+21=94']
Exploring Operation: 94-70=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Exploring Operation: 70*94=6580, Resulting Numbers: [6580]
6580,67 unequal: No Solution
Exploring Operation: 70+94=164, Resulting Numbers: [164]
164,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[73, 91], Operations: ['60-39=21', '70+21=91']
Exploring Operation: 73+91=164, Resulting Numbers: [164]
164,67 unequal: No Solution
Exploring Operation: 91-73=18, Resulting Numbers: [18]
18,67 unequal: No Solution
Exploring Operation: 73*91=6643, Resulting Numbers: [6643]
6643,67 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 |
[
77,
35,
83,
58
] | 99 | [
"77-35=42",
"83+58=141",
"141-42=99"
] | Current State: 99:[77, 35, 83, 58], Operations: []
Exploring Operation: 77-35=42, Resulting Numbers: [83, 58, 42]
Generated Node #2: [83, 58, 42] from Operation: 77-35=42
Current State: 99:[83, 58, 42], Operations: ['77-35=42']
Exploring Operation: 83+58=141, Resulting Numbers: [42, 141]
Generated Node #3: [42, 141] from Operation: 83+58=141
Current State: 99:[42, 141], Operations: ['77-35=42', '83+58=141']
Exploring Operation: 141-42=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[77, 35, 83, 58], Operations: []
Exploring Operation: 83-77=6, Resulting Numbers: [35, 58, 6]
Generated Node #0,0: 99:[35, 58, 6] Operation: 83-77=6
Exploring Operation: 83-58=25, Resulting Numbers: [77, 35, 25]
Generated Node #0,1: 99:[77, 35, 25] Operation: 83-58=25
Exploring Operation: 35+58=93, Resulting Numbers: [77, 83, 93]
Generated Node #0,2: 99:[77, 83, 93] Operation: 35+58=93
Exploring Operation: 77-58=19, Resulting Numbers: [35, 83, 19]
Generated Node #0,3: 99:[35, 83, 19] Operation: 77-58=19
Exploring Operation: 58-35=23, Resulting Numbers: [77, 83, 23]
Generated Node #0,4: 99:[77, 83, 23] Operation: 58-35=23
Moving to Node #0,3
Current State: 99:[35, 83, 19], Operations: ['77-58=19']
Exploring Operation: 35+83=118, Resulting Numbers: [19, 118]
Generated Node #0,3,0: 99:[19, 118] Operation: 35+83=118
Exploring Operation: 83-19=64, Resulting Numbers: [35, 64]
Generated Node #0,3,1: 99:[35, 64] Operation: 83-19=64
Exploring Operation: 83+19=102, Resulting Numbers: [35, 102]
Generated Node #0,3,2: 99:[35, 102] Operation: 83+19=102
Exploring Operation: 35-19=16, Resulting Numbers: [83, 16]
Generated Node #0,3,3: 99:[83, 16] Operation: 35-19=16
Exploring Operation: 83-35=48, Resulting Numbers: [19, 48]
Generated Node #0,3,4: 99:[19, 48] Operation: 83-35=48
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 99:[35, 102], Operations: ['77-58=19', '83+19=102']
Exploring Operation: 35*102=3570, Resulting Numbers: [3570]
3570,99 unequal: No Solution
Exploring Operation: 35+102=137, Resulting Numbers: [137]
137,99 unequal: No Solution
Exploring Operation: 102-35=67, Resulting Numbers: [67]
67,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 99:[83, 16], Operations: ['77-58=19', '35-19=16']
Exploring Operation: 83-16=67, Resulting Numbers: [67]
67,99 unequal: No Solution
Exploring Operation: 83*16=1328, Resulting Numbers: [1328]
1328,99 unequal: No Solution
Exploring Operation: 83+16=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[77, 35, 83, 58], Operations: []
Exploring Operation: 77-58=19, Resulting Numbers: [35, 83, 19]
Generated Node #0,3: 99:[35, 83, 19] Operation: 77-58=19
Moving to Node #0,3
Current State: 99:[35, 83, 19], Operations: ['77-58=19']
Exploring Operation: 35-19=16, Resulting Numbers: [83, 16]
Generated Node #0,3,3: 99:[83, 16] Operation: 35-19=16
Moving to Node #0,3,3
Current State: 99:[83, 16], Operations: ['77-58=19', '35-19=16']
Exploring Operation: 83+16=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
49,
2,
37,
24
] | 23 | [
"37-24=13",
"2*13=26",
"49-26=23"
] | Current State: 23:[49, 2, 37, 24], Operations: []
Exploring Operation: 37-24=13, Resulting Numbers: [49, 2, 13]
Generated Node #2: [49, 2, 13] from Operation: 37-24=13
Current State: 23:[49, 2, 13], Operations: ['37-24=13']
Exploring Operation: 2*13=26, Resulting Numbers: [49, 26]
Generated Node #3: [49, 26] from Operation: 2*13=26
Current State: 23:[49, 26], Operations: ['37-24=13', '2*13=26']
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[49, 2, 37, 24], Operations: []
Exploring Operation: 49-24=25, Resulting Numbers: [2, 37, 25]
Generated Node #0,0: 23:[2, 37, 25] Operation: 49-24=25
Exploring Operation: 49-37=12, Resulting Numbers: [2, 24, 12]
Generated Node #0,1: 23:[2, 24, 12] Operation: 49-37=12
Exploring Operation: 49-2=47, Resulting Numbers: [37, 24, 47]
Generated Node #0,2: 23:[37, 24, 47] Operation: 49-2=47
Exploring Operation: 37-2=35, Resulting Numbers: [49, 24, 35]
Generated Node #0,3: 23:[49, 24, 35] Operation: 37-2=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 23:[2, 24, 12], Operations: ['49-37=12']
Exploring Operation: 24-2=22, Resulting Numbers: [12, 22]
Generated Node #0,1,0: 23:[12, 22] Operation: 24-2=22
Exploring Operation: 2+12=14, Resulting Numbers: [24, 14]
Generated Node #0,1,1: 23:[24, 14] Operation: 2+12=14
Exploring Operation: 2*12=24, Resulting Numbers: [24, 24]
Generated Node #0,1,2: 23:[24, 24] Operation: 2*12=24
Exploring Operation: 2+24=26, Resulting Numbers: [12, 26]
Generated Node #0,1,3: 23:[12, 26] Operation: 2+24=26
Moving to Node #0,1,2
Current State: 23:[24, 24], Operations: ['49-37=12', '2*12=24']
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,23 unequal: No Solution
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,23 unequal: No Solution
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,23 unequal: No Solution
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[24, 14], Operations: ['49-37=12', '2+12=14']
Exploring Operation: 24+14=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 24*14=336, Resulting Numbers: [336]
336,23 unequal: No Solution
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Moving to Node #0,1,0
Current State: 23:[12, 22], Operations: ['49-37=12', '24-2=22']
Exploring Operation: 12+22=34, Resulting Numbers: [34]
34,23 unequal: No Solution
Exploring Operation: 12*22=264, Resulting Numbers: [264]
264,23 unequal: No Solution
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Moving to Node #0,1,3
Current State: 23:[12, 26], Operations: ['49-37=12', '2+24=26']
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,23 unequal: No Solution
Exploring Operation: 12*26=312, Resulting Numbers: [312]
312,23 unequal: No Solution
Exploring Operation: 12+26=38, Resulting Numbers: [38]
38,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[2, 37, 25], Operations: ['49-24=25']
Exploring Operation: 37-2=35, Resulting Numbers: [25, 35]
Generated Node #0,0,0: 23:[25, 35] Operation: 37-2=35
Exploring Operation: 2+37=39, Resulting Numbers: [25, 39]
Generated Node #0,0,1: 23:[25, 39] Operation: 2+37=39
Exploring Operation: 25-2=23, Resulting Numbers: [37, 23]
Generated Node #0,0,2: 23:[37, 23] Operation: 25-2=23
Exploring Operation: 2+25=27, Resulting Numbers: [37, 27]
Generated Node #0,0,3: 23:[37, 27] Operation: 2+25=27
Moving to Node #0,0,0
Current State: 23:[25, 35], Operations: ['49-24=25', '37-2=35']
Exploring Operation: 25+35=60, Resulting Numbers: [60]
60,23 unequal: No Solution
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Exploring Operation: 25*35=875, Resulting Numbers: [875]
875,23 unequal: No Solution
Moving to Node #0,0,2
Current State: 23:[37, 23], Operations: ['49-24=25', '25-2=23']
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,23 unequal: No Solution
Exploring Operation: 37*23=851, Resulting Numbers: [851]
851,23 unequal: No Solution
Exploring Operation: 37+23=60, Resulting Numbers: [60]
60,23 unequal: No Solution
Moving to Node #0,0,3
Current State: 23:[37, 27], Operations: ['49-24=25', '2+25=27']
Exploring Operation: 37-27=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Exploring Operation: 37+27=64, Resulting Numbers: [64]
64,23 unequal: No Solution
Exploring Operation: 37*27=999, Resulting Numbers: [999]
999,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[25, 39], Operations: ['49-24=25', '2+37=39']
Exploring Operation: 25+39=64, Resulting Numbers: [64]
64,23 unequal: No Solution
Exploring Operation: 25*39=975, Resulting Numbers: [975]
975,23 unequal: No Solution
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 23:[37, 24, 47], Operations: ['49-2=47']
Exploring Operation: 47-24=23, Resulting Numbers: [37, 23]
Generated Node #0,2,0: 23:[37, 23] Operation: 47-24=23
Exploring Operation: 47-37=10, Resulting Numbers: [24, 10]
Generated Node #0,2,1: 23:[24, 10] Operation: 47-37=10
Exploring Operation: 37+24=61, Resulting Numbers: [47, 61]
Generated Node #0,2,2: 23:[47, 61] Operation: 37+24=61
Exploring Operation: 37-24=13, Resulting Numbers: [47, 13]
Generated Node #0,2,3: 23:[47, 13] Operation: 37-24=13
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 23:[37, 23], Operations: ['49-2=47', '47-24=23']
Exploring Operation: 37+23=60, Resulting Numbers: [60]
60,23 unequal: No Solution
Exploring Operation: 37-23=14, Resulting Numbers: [14]
14,23 unequal: No Solution
Exploring Operation: 37*23=851, Resulting Numbers: [851]
851,23 unequal: No Solution
No 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: 23:[24, 10], Operations: ['49-2=47', '47-37=10']
Exploring Operation: 24*10=240, Resulting Numbers: [240]
240,23 unequal: No Solution
Exploring Operation: 24+10=34, Resulting Numbers: [34]
34,23 unequal: No Solution
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,23 unequal: No Solution
No 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: 23:[47, 13], Operations: ['49-2=47', '37-24=13']
Exploring Operation: 47+13=60, Resulting Numbers: [60]
60,23 unequal: No Solution
Exploring Operation: 47-13=34, Resulting Numbers: [34]
34,23 unequal: No Solution
Exploring Operation: 47*13=611, Resulting Numbers: [611]
611,23 unequal: No Solution
No 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: 23:[47, 61], Operations: ['49-2=47', '37+24=61']
Exploring Operation: 61-47=14, Resulting Numbers: [14]
14,23 unequal: No Solution
Exploring Operation: 47+61=108, Resulting Numbers: [108]
108,23 unequal: No Solution
Exploring Operation: 47*61=2867, Resulting Numbers: [2867]
2867,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 23:[49, 24, 35], Operations: ['37-2=35']
Exploring Operation: 49-24=25, Resulting Numbers: [35, 25]
Generated Node #0,3,0: 23:[35, 25] Operation: 49-24=25
Exploring Operation: 49+24=73, Resulting Numbers: [35, 73]
Generated Node #0,3,1: 23:[35, 73] Operation: 49+24=73
Exploring Operation: 49-35=14, Resulting Numbers: [24, 14]
Generated Node #0,3,2: 23:[24, 14] Operation: 49-35=14
Exploring Operation: 35-24=11, Resulting Numbers: [49, 11]
Generated Node #0,3,3: 23:[49, 11] Operation: 35-24=11
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 23:[24, 14], Operations: ['37-2=35', '49-35=14']
Exploring Operation: 24*14=336, Resulting Numbers: [336]
336,23 unequal: No Solution
Exploring Operation: 24+14=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,23 unequal: No Solution
No 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: 23:[35, 25], Operations: ['37-2=35', '49-24=25']
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,23 unequal: No Solution
Exploring Operation: 35*25=875, Resulting Numbers: [875]
875,23 unequal: No Solution
Exploring Operation: 35+25=60, Resulting Numbers: [60]
60,23 unequal: No Solution
No 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: 23:[49, 11], Operations: ['37-2=35', '35-24=11']
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 49+11=60, Resulting Numbers: [60]
60,23 unequal: No Solution
Exploring Operation: 49*11=539, Resulting Numbers: [539]
539,23 unequal: No Solution
No 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: 23:[35, 73], Operations: ['37-2=35', '49+24=73']
Exploring Operation: 35*73=2555, Resulting Numbers: [2555]
2555,23 unequal: No Solution
Exploring Operation: 73-35=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 35+73=108, Resulting Numbers: [108]
108,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
23,
3,
36,
27
] | 96 | [
"23+36=59",
"59-27=32",
"3*32=96"
] | Current State: 96:[23, 3, 36, 27], Operations: []
Exploring Operation: 23+36=59, Resulting Numbers: [3, 27, 59]
Generated Node #2: [3, 27, 59] from Operation: 23+36=59
Current State: 96:[3, 27, 59], Operations: ['23+36=59']
Exploring Operation: 59-27=32, Resulting Numbers: [3, 32]
Generated Node #3: [3, 32] from Operation: 59-27=32
Current State: 96:[3, 32], Operations: ['23+36=59', '59-27=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[23, 3, 36, 27], Operations: []
Exploring Operation: 36-27=9, Resulting Numbers: [23, 3, 9]
Generated Node #0,0: 96:[23, 3, 9] Operation: 36-27=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[23, 3, 9], Operations: ['36-27=9']
Exploring Operation: 23+9=32, Resulting Numbers: [3, 32]
Generated Node #0,0,0: 96:[3, 32] Operation: 23+9=32
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[3, 32], Operations: ['36-27=9', '23+9=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[23, 3, 36, 27], Operations: []
Exploring Operation: 36-27=9, Resulting Numbers: [23, 3, 9]
Generated Node #0,0: 96:[23, 3, 9] Operation: 36-27=9
Moving to Node #0,0
Current State: 96:[23, 3, 9], Operations: ['36-27=9']
Exploring Operation: 23+9=32, Resulting Numbers: [3, 32]
Generated Node #0,0,0: 96:[3, 32] Operation: 23+9=32
Moving to Node #0,0,0
Current State: 96:[3, 32], Operations: ['36-27=9', '23+9=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
3,
13,
6,
90
] | 58 | [
"6/3=2",
"90/2=45",
"13+45=58"
] | Current State: 58:[3, 13, 6, 90], Operations: []
Exploring Operation: 6/3=2, Resulting Numbers: [13, 90, 2]
Generated Node #2: [13, 90, 2] from Operation: 6/3=2
Current State: 58:[13, 90, 2], Operations: ['6/3=2']
Exploring Operation: 90/2=45, Resulting Numbers: [13, 45]
Generated Node #3: [13, 45] from Operation: 90/2=45
Current State: 58:[13, 45], Operations: ['6/3=2', '90/2=45']
Exploring Operation: 13+45=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[3, 13, 6, 90], Operations: []
Exploring Operation: 90/6=15, Resulting Numbers: [3, 13, 15]
Generated Node #0,0: 58:[3, 13, 15] Operation: 90/6=15
Exploring Operation: 90/3=30, Resulting Numbers: [13, 6, 30]
Generated Node #0,1: 58:[13, 6, 30] Operation: 90/3=30
Exploring Operation: 90-13=77, Resulting Numbers: [3, 6, 77]
Generated Node #0,2: 58:[3, 6, 77] Operation: 90-13=77
Moving to Node #0,1
Current State: 58:[13, 6, 30], Operations: ['90/3=30']
Exploring Operation: 30/6=5, Resulting Numbers: [13, 5]
Generated Node #0,1,0: 58:[13, 5] Operation: 30/6=5
Exploring Operation: 13-6=7, Resulting Numbers: [30, 7]
Generated Node #0,1,1: 58:[30, 7] Operation: 13-6=7
Exploring Operation: 13+6=19, Resulting Numbers: [30, 19]
Generated Node #0,1,2: 58:[30, 19] Operation: 13+6=19
Moving to Node #0,2
Current State: 58:[3, 6, 77], Operations: ['90-13=77']
Exploring Operation: 6-3=3, Resulting Numbers: [77, 3]
Generated Node #0,2,0: 58:[77, 3] Operation: 6-3=3
Exploring Operation: 77-6=71, Resulting Numbers: [3, 71]
Generated Node #0,2,1: 58:[3, 71] Operation: 77-6=71
Exploring Operation: 6/3=2, Resulting Numbers: [77, 2]
Generated Node #0,2,2: 58:[77, 2] Operation: 6/3=2
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 58:[3, 71], Operations: ['90-13=77', '77-6=71']
Exploring Operation: 3*71=213, Resulting Numbers: [213]
213,58 unequal: No Solution
Exploring Operation: 3+71=74, Resulting Numbers: [74]
74,58 unequal: No Solution
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,58 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 #0,2,2
Current State: 58:[77, 2], Operations: ['90-13=77', '6/3=2']
Exploring Operation: 77*2=154, Resulting Numbers: [154]
154,58 unequal: No Solution
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,58 unequal: No Solution
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,58 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 #0,2,0
Current State: 58:[77, 3], Operations: ['90-13=77', '6-3=3']
Exploring Operation: 77+3=80, Resulting Numbers: [80]
80,58 unequal: No Solution
Exploring Operation: 77*3=231, Resulting Numbers: [231]
231,58 unequal: No Solution
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,58 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:[3, 13, 15], Operations: ['90/6=15']
Exploring Operation: 15-13=2, Resulting Numbers: [3, 2]
Generated Node #0,0,0: 58:[3, 2] Operation: 15-13=2
Exploring Operation: 15/3=5, Resulting Numbers: [13, 5]
Generated Node #0,0,1: 58:[13, 5] Operation: 15/3=5
Exploring Operation: 13+15=28, Resulting Numbers: [3, 28]
Generated Node #0,0,2: 58:[3, 28] Operation: 13+15=28
Moving to Node #0,0,0
Current State: 58:[3, 2], Operations: ['90/6=15', '15-13=2']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,58 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,58 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,58 unequal: No Solution
Moving to Node #0,0,2
Current State: 58:[3, 28], Operations: ['90/6=15', '13+15=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,58 unequal: No Solution
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[30, 7], Operations: ['90/3=30', '13-6=7']
Exploring Operation: 30+7=37, Resulting Numbers: [37]
37,58 unequal: No Solution
Exploring Operation: 30*7=210, Resulting Numbers: [210]
210,58 unequal: No Solution
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[30, 19], Operations: ['90/3=30', '13+6=19']
Exploring Operation: 30+19=49, Resulting Numbers: [49]
49,58 unequal: No Solution
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,58 unequal: No Solution
Exploring Operation: 30*19=570, Resulting Numbers: [570]
570,58 unequal: No Solution
Moving to Node #0,0,1
Current State: 58:[13, 5], Operations: ['90/6=15', '15/3=5']
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,58 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,58 unequal: No Solution
Moving to Node #0,1,0
Current State: 58:[13, 5], Operations: ['90/3=30', '30/6=5']
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,58 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,58 unequal: No Solution
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,58 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
42,
9,
6,
44
] | 52 | [
"44-42=2",
"9*6=54",
"54-2=52"
] | Current State: 52:[42, 9, 6, 44], Operations: []
Exploring Operation: 44-42=2, Resulting Numbers: [9, 6, 2]
Generated Node #2: [9, 6, 2] from Operation: 44-42=2
Current State: 52:[9, 6, 2], Operations: ['44-42=2']
Exploring Operation: 9*6=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 9*6=54
Current State: 52:[2, 54], Operations: ['44-42=2', '9*6=54']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[42, 9, 6, 44], Operations: []
Exploring Operation: 44-42=2, Resulting Numbers: [9, 6, 2]
Generated Node #0,0: 52:[9, 6, 2] Operation: 44-42=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[9, 6, 2], Operations: ['44-42=2']
Exploring Operation: 9-6=3, Resulting Numbers: [2, 3]
Generated Node #0,0,0: 52:[2, 3] Operation: 9-6=3
Moving to Node #0,0,0
Current State: 52:[2, 3], Operations: ['44-42=2', '9-6=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
49,
8,
69,
11
] | 72 | [
"69-49=20",
"20-11=9",
"8*9=72"
] | Current State: 72:[49, 8, 69, 11], Operations: []
Exploring Operation: 69-49=20, Resulting Numbers: [8, 11, 20]
Generated Node #2: [8, 11, 20] from Operation: 69-49=20
Current State: 72:[8, 11, 20], Operations: ['69-49=20']
Exploring Operation: 20-11=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 20-11=9
Current State: 72:[8, 9], Operations: ['69-49=20', '20-11=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[49, 8, 69, 11], Operations: []
Exploring Operation: 69-49=20, Resulting Numbers: [8, 11, 20]
Generated Node #0,0: 72:[8, 11, 20] Operation: 69-49=20
Exploring Operation: 49-8=41, Resulting Numbers: [69, 11, 41]
Generated Node #0,1: 72:[69, 11, 41] Operation: 49-8=41
Exploring Operation: 49-11=38, Resulting Numbers: [8, 69, 38]
Generated Node #0,2: 72:[8, 69, 38] Operation: 49-11=38
Exploring Operation: 49+11=60, Resulting Numbers: [8, 69, 60]
Generated Node #0,3: 72:[8, 69, 60] Operation: 49+11=60
Moving to Node #0,0
Current State: 72:[8, 11, 20], Operations: ['69-49=20']
Exploring Operation: 20-11=9, Resulting Numbers: [8, 9]
Generated Node #0,0,0: 72:[8, 9] Operation: 20-11=9
Exploring Operation: 8+11=19, Resulting Numbers: [20, 19]
Generated Node #0,0,1: 72:[20, 19] Operation: 8+11=19
Exploring Operation: 11-8=3, Resulting Numbers: [20, 3]
Generated Node #0,0,2: 72:[20, 3] Operation: 11-8=3
Exploring Operation: 20-8=12, Resulting Numbers: [11, 12]
Generated Node #0,0,3: 72:[11, 12] Operation: 20-8=12
Moving to Node #0,2
Current State: 72:[8, 69, 38], Operations: ['49-11=38']
Exploring Operation: 69-38=31, Resulting Numbers: [8, 31]
Generated Node #0,2,0: 72:[8, 31] Operation: 69-38=31
Exploring Operation: 8+69=77, Resulting Numbers: [38, 77]
Generated Node #0,2,1: 72:[38, 77] Operation: 8+69=77
Exploring Operation: 69-8=61, Resulting Numbers: [38, 61]
Generated Node #0,2,2: 72:[38, 61] Operation: 69-8=61
Exploring Operation: 38-8=30, Resulting Numbers: [69, 30]
Generated Node #0,2,3: 72:[69, 30] Operation: 38-8=30
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 72:[8, 31], Operations: ['49-11=38', '69-38=31']
Exploring Operation: 8*31=248, Resulting Numbers: [248]
248,72 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,72 unequal: No Solution
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,72 unequal: No Solution
No 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: 72:[38, 77], Operations: ['49-11=38', '8+69=77']
Exploring Operation: 38*77=2926, Resulting Numbers: [2926]
2926,72 unequal: No Solution
Exploring Operation: 38+77=115, Resulting Numbers: [115]
115,72 unequal: No Solution
Exploring Operation: 77-38=39, Resulting Numbers: [39]
39,72 unequal: No Solution
No 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: 72:[69, 30], Operations: ['49-11=38', '38-8=30']
Exploring Operation: 69+30=99, Resulting Numbers: [99]
99,72 unequal: No Solution
Exploring Operation: 69-30=39, Resulting Numbers: [39]
39,72 unequal: No Solution
Exploring Operation: 69*30=2070, Resulting Numbers: [2070]
2070,72 unequal: No Solution
No 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: 72:[38, 61], Operations: ['49-11=38', '69-8=61']
Exploring Operation: 61-38=23, Resulting Numbers: [23]
23,72 unequal: No Solution
Exploring Operation: 38+61=99, Resulting Numbers: [99]
99,72 unequal: No Solution
Exploring Operation: 38*61=2318, Resulting Numbers: [2318]
2318,72 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: 72:[69, 11, 41], Operations: ['49-8=41']
Exploring Operation: 69-11=58, Resulting Numbers: [41, 58]
Generated Node #0,1,0: 72:[41, 58] Operation: 69-11=58
Exploring Operation: 69+11=80, Resulting Numbers: [41, 80]
Generated Node #0,1,1: 72:[41, 80] Operation: 69+11=80
Exploring Operation: 69-41=28, Resulting Numbers: [11, 28]
Generated Node #0,1,2: 72:[11, 28] Operation: 69-41=28
Exploring Operation: 41-11=30, Resulting Numbers: [69, 30]
Generated Node #0,1,3: 72:[69, 30] Operation: 41-11=30
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 72:[11, 28], Operations: ['49-8=41', '69-41=28']
Exploring Operation: 11+28=39, Resulting Numbers: [39]
39,72 unequal: No Solution
Exploring Operation: 11*28=308, Resulting Numbers: [308]
308,72 unequal: No Solution
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,72 unequal: No Solution
No 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: 72:[69, 30], Operations: ['49-8=41', '41-11=30']
Exploring Operation: 69*30=2070, Resulting Numbers: [2070]
2070,72 unequal: No Solution
Exploring Operation: 69-30=39, Resulting Numbers: [39]
39,72 unequal: No Solution
Exploring Operation: 69+30=99, Resulting Numbers: [99]
99,72 unequal: No Solution
No 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: 72:[41, 80], Operations: ['49-8=41', '69+11=80']
Exploring Operation: 41+80=121, Resulting Numbers: [121]
121,72 unequal: No Solution
Exploring Operation: 41*80=3280, Resulting Numbers: [3280]
3280,72 unequal: No Solution
Exploring Operation: 80-41=39, Resulting Numbers: [39]
39,72 unequal: No Solution
No 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: 72:[41, 58], Operations: ['49-8=41', '69-11=58']
Exploring Operation: 41+58=99, Resulting Numbers: [99]
99,72 unequal: No Solution
Exploring Operation: 58-41=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 41*58=2378, Resulting Numbers: [2378]
2378,72 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: 72:[8, 69, 60], Operations: ['49+11=60']
Exploring Operation: 8+69=77, Resulting Numbers: [60, 77]
Generated Node #0,3,0: 72:[60, 77] Operation: 8+69=77
Exploring Operation: 69-60=9, Resulting Numbers: [8, 9]
Generated Node #0,3,1: 72:[8, 9] Operation: 69-60=9
Exploring Operation: 8+60=68, Resulting Numbers: [69, 68]
Generated Node #0,3,2: 72:[69, 68] Operation: 8+60=68
Exploring Operation: 60-8=52, Resulting Numbers: [69, 52]
Generated Node #0,3,3: 72:[69, 52] Operation: 60-8=52
Moving to Node #0,0,0
Current State: 72:[8, 9], Operations: ['69-49=20', '20-11=9']
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,72 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[49, 8, 69, 11], Operations: []
Exploring Operation: 69-49=20, Resulting Numbers: [8, 11, 20]
Generated Node #0,0: 72:[8, 11, 20] Operation: 69-49=20
Moving to Node #0,0
Current State: 72:[8, 11, 20], Operations: ['69-49=20']
Exploring Operation: 20-11=9, Resulting Numbers: [8, 9]
Generated Node #0,0,0: 72:[8, 9] Operation: 20-11=9
Moving to Node #0,0,0
Current State: 72:[8, 9], Operations: ['69-49=20', '20-11=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 0.956597 | hs_4 | sum_heuristic |
[
2,
51,
36,
68
] | 50 | [
"36*68=2448",
"2448/51=48",
"2+48=50"
] | Current State: 50:[2, 51, 36, 68], Operations: []
Exploring Operation: 36*68=2448, Resulting Numbers: [2, 51, 2448]
Generated Node #2: [2, 51, 2448] from Operation: 36*68=2448
Current State: 50:[2, 51, 2448], Operations: ['36*68=2448']
Exploring Operation: 2448/51=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 2448/51=48
Current State: 50:[2, 48], Operations: ['36*68=2448', '2448/51=48']
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[2, 51, 36, 68], Operations: []
Exploring Operation: 68-36=32, Resulting Numbers: [2, 51, 32]
Generated Node #0,0: 50:[2, 51, 32] Operation: 68-36=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[2, 51, 32], Operations: ['68-36=32']
Exploring Operation: 32-2=30, Resulting Numbers: [51, 30]
Generated Node #0,0,0: 50:[51, 30] Operation: 32-2=30
Moving to Node #0,0,0
Current State: 50:[51, 30], Operations: ['68-36=32', '32-2=30']
Exploring Operation: 51-30=21, Resulting Numbers: [21]
21,50 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 |
[
31,
32,
88,
62
] | 58 | [
"62/31=2",
"88-32=56",
"2+56=58"
] | Current State: 58:[31, 32, 88, 62], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [32, 88, 2]
Generated Node #2: [32, 88, 2] from Operation: 62/31=2
Current State: 58:[32, 88, 2], Operations: ['62/31=2']
Exploring Operation: 88-32=56, Resulting Numbers: [2, 56]
Generated Node #3: [2, 56] from Operation: 88-32=56
Current State: 58:[2, 56], Operations: ['62/31=2', '88-32=56']
Exploring Operation: 2+56=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[31, 32, 88, 62], Operations: []
Exploring Operation: 88-31=57, Resulting Numbers: [32, 62, 57]
Generated Node #0,0: 58:[32, 62, 57] Operation: 88-31=57
Exploring Operation: 88-32=56, Resulting Numbers: [31, 62, 56]
Generated Node #0,1: 58:[31, 62, 56] Operation: 88-32=56
Moving to Node #0,0
Current State: 58:[32, 62, 57], Operations: ['88-31=57']
Exploring Operation: 62-32=30, Resulting Numbers: [57, 30]
Generated Node #0,0,0: 58:[57, 30] Operation: 62-32=30
Exploring Operation: 62-57=5, Resulting Numbers: [32, 5]
Generated Node #0,0,1: 58:[32, 5] Operation: 62-57=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[57, 30], Operations: ['88-31=57', '62-32=30']
Exploring Operation: 57-30=27, Resulting Numbers: [27]
27,58 unequal: No Solution
Exploring Operation: 57+30=87, Resulting Numbers: [87]
87,58 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:[32, 5], Operations: ['88-31=57', '62-57=5']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,58 unequal: No Solution
Exploring Operation: 32+5=37, Resulting Numbers: [37]
37,58 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:[31, 62, 56], Operations: ['88-32=56']
Exploring Operation: 62/31=2, Resulting Numbers: [56, 2]
Generated Node #0,1,0: 58:[56, 2] Operation: 62/31=2
Exploring Operation: 62-31=31, Resulting Numbers: [56, 31]
Generated Node #0,1,1: 58:[56, 31] Operation: 62-31=31
Moving to Node #0,1,0
Current State: 58:[56, 2], Operations: ['88-32=56', '62/31=2']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,58 unequal: No Solution
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[31, 32, 88, 62], Operations: []
Exploring Operation: 88-32=56, Resulting Numbers: [31, 62, 56]
Generated Node #0,1: 58:[31, 62, 56] Operation: 88-32=56
Moving to Node #0,1
Current State: 58:[31, 62, 56], Operations: ['88-32=56']
Exploring Operation: 62/31=2, Resulting Numbers: [56, 2]
Generated Node #0,1,0: 58:[56, 2] Operation: 62/31=2
Moving to Node #0,1,0
Current State: 58:[56, 2], Operations: ['88-32=56', '62/31=2']
Exploring Operation: 56+2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 0.986111 | hs_2 | sum_heuristic |
[
14,
17,
16,
84
] | 36 | [
"17-14=3",
"16*3=48",
"84-48=36"
] | Current State: 36:[14, 17, 16, 84], Operations: []
Exploring Operation: 17-14=3, Resulting Numbers: [16, 84, 3]
Generated Node #2: [16, 84, 3] from Operation: 17-14=3
Current State: 36:[16, 84, 3], Operations: ['17-14=3']
Exploring Operation: 16*3=48, Resulting Numbers: [84, 48]
Generated Node #3: [84, 48] from Operation: 16*3=48
Current State: 36:[84, 48], Operations: ['17-14=3', '16*3=48']
Exploring Operation: 84-48=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[14, 17, 16, 84], Operations: []
Exploring Operation: 84-17=67, Resulting Numbers: [14, 16, 67]
Generated Node #0,0: 36:[14, 16, 67] Operation: 84-17=67
Exploring Operation: 84-14=70, Resulting Numbers: [17, 16, 70]
Generated Node #0,1: 36:[17, 16, 70] Operation: 84-14=70
Exploring Operation: 84-16=68, Resulting Numbers: [14, 17, 68]
Generated Node #0,2: 36:[14, 17, 68] Operation: 84-16=68
Exploring Operation: 16-14=2, Resulting Numbers: [17, 84, 2]
Generated Node #0,3: 36:[17, 84, 2] Operation: 16-14=2
Exploring Operation: 84/14=6, Resulting Numbers: [17, 16, 6]
Generated Node #0,4: 36:[17, 16, 6] Operation: 84/14=6
Start Sub Search at level 1: Moving to Node #0,4
Current State: 36:[17, 16, 6], Operations: ['84/14=6']
Exploring Operation: 17-6=11, Resulting Numbers: [16, 11]
Generated Node #0,4,0: 36:[16, 11] Operation: 17-6=11
Exploring Operation: 17-16=1, Resulting Numbers: [6, 1]
Generated Node #0,4,1: 36:[6, 1] Operation: 17-16=1
Exploring Operation: 16+6=22, Resulting Numbers: [17, 22]
Generated Node #0,4,2: 36:[17, 22] Operation: 16+6=22
Exploring Operation: 17+16=33, Resulting Numbers: [6, 33]
Generated Node #0,4,3: 36:[6, 33] Operation: 17+16=33
Exploring Operation: 16-6=10, Resulting Numbers: [17, 10]
Generated Node #0,4,4: 36:[17, 10] Operation: 16-6=10
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 36:[6, 1], Operations: ['84/14=6', '17-16=1']
Exploring Operation: 6*1=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 6+1=7, Resulting Numbers: [7]
7,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 36:[17, 10], Operations: ['84/14=6', '16-6=10']
Exploring Operation: 17+10=27, Resulting Numbers: [27]
27,36 unequal: No Solution
Exploring Operation: 17*10=170, Resulting Numbers: [170]
170,36 unequal: No Solution
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 36:[16, 11], Operations: ['84/14=6', '17-6=11']
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Exploring Operation: 16+11=27, Resulting Numbers: [27]
27,36 unequal: No Solution
Exploring Operation: 16*11=176, Resulting Numbers: [176]
176,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 36:[6, 33], Operations: ['84/14=6', '17+16=33']
Exploring Operation: 6+33=39, Resulting Numbers: [39]
39,36 unequal: No Solution
Exploring Operation: 33-6=27, Resulting Numbers: [27]
27,36 unequal: No Solution
Exploring Operation: 6*33=198, Resulting Numbers: [198]
198,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 36:[17, 22], Operations: ['84/14=6', '16+6=22']
Exploring Operation: 17*22=374, Resulting Numbers: [374]
374,36 unequal: No Solution
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Exploring Operation: 17+22=39, Resulting Numbers: [39]
39,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[14, 16, 67], Operations: ['84-17=67']
Exploring Operation: 67-14=53, Resulting Numbers: [16, 53]
Generated Node #0,0,0: 36:[16, 53] Operation: 67-14=53
Exploring Operation: 16-14=2, Resulting Numbers: [67, 2]
Generated Node #0,0,1: 36:[67, 2] Operation: 16-14=2
Exploring Operation: 14+16=30, Resulting Numbers: [67, 30]
Generated Node #0,0,2: 36:[67, 30] Operation: 14+16=30
Exploring Operation: 67-16=51, Resulting Numbers: [14, 51]
Generated Node #0,0,3: 36:[14, 51] Operation: 67-16=51
Exploring Operation: 14+67=81, Resulting Numbers: [16, 81]
Generated Node #0,0,4: 36:[16, 81] Operation: 14+67=81
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 36:[14, 51], Operations: ['84-17=67', '67-16=51']
Exploring Operation: 14+51=65, Resulting Numbers: [65]
65,36 unequal: No Solution
Exploring Operation: 14*51=714, Resulting Numbers: [714]
714,36 unequal: No Solution
Exploring Operation: 51-14=37, Resulting Numbers: [37]
37,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 36:[16, 53], Operations: ['84-17=67', '67-14=53']
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,36 unequal: No Solution
Exploring Operation: 16+53=69, Resulting Numbers: [69]
69,36 unequal: No Solution
Exploring Operation: 16*53=848, Resulting Numbers: [848]
848,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 36:[67, 2], Operations: ['84-17=67', '16-14=2']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,36 unequal: No Solution
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,36 unequal: No Solution
Exploring Operation: 67*2=134, Resulting Numbers: [134]
134,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 36:[67, 30], Operations: ['84-17=67', '14+16=30']
Exploring Operation: 67+30=97, Resulting Numbers: [97]
97,36 unequal: No Solution
Exploring Operation: 67*30=2010, Resulting Numbers: [2010]
2010,36 unequal: No Solution
Exploring Operation: 67-30=37, Resulting Numbers: [37]
37,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 36:[16, 81], Operations: ['84-17=67', '14+67=81']
Exploring Operation: 16+81=97, Resulting Numbers: [97]
97,36 unequal: No Solution
Exploring Operation: 16*81=1296, Resulting Numbers: [1296]
1296,36 unequal: No Solution
Exploring Operation: 81-16=65, Resulting Numbers: [65]
65,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 36:[14, 17, 68], Operations: ['84-16=68']
Exploring Operation: 68/17=4, Resulting Numbers: [14, 4]
Generated Node #0,2,0: 36:[14, 4] Operation: 68/17=4
Exploring Operation: 17-14=3, Resulting Numbers: [68, 3]
Generated Node #0,2,1: 36:[68, 3] Operation: 17-14=3
Exploring Operation: 14+17=31, Resulting Numbers: [68, 31]
Generated Node #0,2,2: 36:[68, 31] Operation: 14+17=31
Exploring Operation: 68-17=51, Resulting Numbers: [14, 51]
Generated Node #0,2,3: 36:[14, 51] Operation: 68-17=51
Exploring Operation: 68-14=54, Resulting Numbers: [17, 54]
Generated Node #0,2,4: 36:[17, 54] Operation: 68-14=54
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 36:[14, 4], Operations: ['84-16=68', '68/17=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,36 unequal: No Solution
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,36 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 36:[14, 51], Operations: ['84-16=68', '68-17=51']
Exploring Operation: 14*51=714, Resulting Numbers: [714]
714,36 unequal: No Solution
Exploring Operation: 51-14=37, Resulting Numbers: [37]
37,36 unequal: No Solution
Exploring Operation: 14+51=65, Resulting Numbers: [65]
65,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 36:[17, 54], Operations: ['84-16=68', '68-14=54']
Exploring Operation: 17*54=918, Resulting Numbers: [918]
918,36 unequal: No Solution
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,36 unequal: No Solution
Exploring Operation: 17+54=71, Resulting Numbers: [71]
71,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 36:[68, 3], Operations: ['84-16=68', '17-14=3']
Exploring Operation: 68+3=71, Resulting Numbers: [71]
71,36 unequal: No Solution
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,36 unequal: No Solution
Exploring Operation: 68*3=204, Resulting Numbers: [204]
204,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 36:[68, 31], Operations: ['84-16=68', '14+17=31']
Exploring Operation: 68+31=99, Resulting Numbers: [99]
99,36 unequal: No Solution
Exploring Operation: 68*31=2108, Resulting Numbers: [2108]
2108,36 unequal: No Solution
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[17, 16, 70], Operations: ['84-14=70']
Exploring Operation: 17+16=33, Resulting Numbers: [70, 33]
Generated Node #0,1,0: 36:[70, 33] Operation: 17+16=33
Exploring Operation: 17-16=1, Resulting Numbers: [70, 1]
Generated Node #0,1,1: 36:[70, 1] Operation: 17-16=1
Exploring Operation: 70-16=54, Resulting Numbers: [17, 54]
Generated Node #0,1,2: 36:[17, 54] Operation: 70-16=54
Exploring Operation: 16+70=86, Resulting Numbers: [17, 86]
Generated Node #0,1,3: 36:[17, 86] Operation: 16+70=86
Exploring Operation: 70-17=53, Resulting Numbers: [16, 53]
Generated Node #0,1,4: 36:[16, 53] Operation: 70-17=53
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 36:[17, 54], Operations: ['84-14=70', '70-16=54']
Exploring Operation: 17*54=918, Resulting Numbers: [918]
918,36 unequal: No Solution
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,36 unequal: No Solution
Exploring Operation: 17+54=71, Resulting Numbers: [71]
71,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 36:[16, 53], Operations: ['84-14=70', '70-17=53']
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,36 unequal: No Solution
Exploring Operation: 16*53=848, Resulting Numbers: [848]
848,36 unequal: No Solution
Exploring Operation: 16+53=69, Resulting Numbers: [69]
69,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 36:[70, 1], Operations: ['84-14=70', '17-16=1']
Exploring Operation: 70/1=70, Resulting Numbers: [70]
70,36 unequal: No Solution
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,36 unequal: No Solution
Exploring Operation: 70+1=71, Resulting Numbers: [71]
71,36 unequal: No Solution
Exploring Operation: 70*1=70, Resulting Numbers: [70]
70,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 36:[70, 33], Operations: ['84-14=70', '17+16=33']
Exploring Operation: 70-33=37, Resulting Numbers: [37]
37,36 unequal: No Solution
Exploring Operation: 70+33=103, Resulting Numbers: [103]
103,36 unequal: No Solution
Exploring Operation: 70*33=2310, Resulting Numbers: [2310]
2310,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 36:[17, 86], Operations: ['84-14=70', '16+70=86']
Exploring Operation: 17+86=103, Resulting Numbers: [103]
103,36 unequal: No Solution
Exploring Operation: 17*86=1462, Resulting Numbers: [1462]
1462,36 unequal: No Solution
Exploring Operation: 86-17=69, Resulting Numbers: [69]
69,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 36:[17, 84, 2], Operations: ['16-14=2']
Exploring Operation: 84/2=42, Resulting Numbers: [17, 42]
Generated Node #0,3,0: 36:[17, 42] Operation: 84/2=42
Exploring Operation: 17*2=34, Resulting Numbers: [84, 34]
Generated Node #0,3,1: 36:[84, 34] Operation: 17*2=34
Exploring Operation: 84-2=82, Resulting Numbers: [17, 82]
Generated Node #0,3,2: 36:[17, 82] Operation: 84-2=82
Exploring Operation: 17+2=19, Resulting Numbers: [84, 19]
Generated Node #0,3,3: 36:[84, 19] Operation: 17+2=19
Exploring Operation: 84-17=67, Resulting Numbers: [2, 67]
Generated Node #0,3,4: 36:[2, 67] Operation: 84-17=67
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 36:[17, 42], Operations: ['16-14=2', '84/2=42']
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,36 unequal: No Solution
Exploring Operation: 17*42=714, Resulting Numbers: [714]
714,36 unequal: No Solution
Exploring Operation: 17+42=59, Resulting Numbers: [59]
59,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 36:[2, 67], Operations: ['16-14=2', '84-17=67']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,36 unequal: No Solution
Exploring Operation: 2+67=69, Resulting Numbers: [69]
69,36 unequal: No Solution
Exploring Operation: 2*67=134, Resulting Numbers: [134]
134,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 36:[17, 82], Operations: ['16-14=2', '84-2=82']
Exploring Operation: 17+82=99, Resulting Numbers: [99]
99,36 unequal: No Solution
Exploring Operation: 17*82=1394, Resulting Numbers: [1394]
1394,36 unequal: No Solution
Exploring Operation: 82-17=65, Resulting Numbers: [65]
65,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 36:[84, 19], Operations: ['16-14=2', '17+2=19']
Exploring Operation: 84+19=103, Resulting Numbers: [103]
103,36 unequal: No Solution
Exploring Operation: 84*19=1596, Resulting Numbers: [1596]
1596,36 unequal: No Solution
Exploring Operation: 84-19=65, Resulting Numbers: [65]
65,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 36:[84, 34], Operations: ['16-14=2', '17*2=34']
Exploring Operation: 84+34=118, Resulting Numbers: [118]
118,36 unequal: No Solution
Exploring Operation: 84-34=50, Resulting Numbers: [50]
50,36 unequal: No Solution
Exploring Operation: 84*34=2856, Resulting Numbers: [2856]
2856,36 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
81,
37,
38,
3
] | 78 | [
"81-3=78",
"38-37=1",
"78*1=78"
] | Current State: 78:[81, 37, 38, 3], Operations: []
Exploring Operation: 81-3=78, Resulting Numbers: [37, 38, 78]
Generated Node #2: [37, 38, 78] from Operation: 81-3=78
Current State: 78:[37, 38, 78], Operations: ['81-3=78']
Exploring Operation: 38-37=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 38-37=1
Current State: 78:[78, 1], Operations: ['81-3=78', '38-37=1']
Exploring Operation: 78*1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[81, 37, 38, 3], Operations: []
Exploring Operation: 38-37=1, Resulting Numbers: [81, 3, 1]
Generated Node #0,0: 78:[81, 3, 1] Operation: 38-37=1
Exploring Operation: 81-3=78, Resulting Numbers: [37, 38, 78]
Generated Node #0,1: 78:[37, 38, 78] Operation: 81-3=78
Exploring Operation: 81/3=27, Resulting Numbers: [37, 38, 27]
Generated Node #0,2: 78:[37, 38, 27] Operation: 81/3=27
Moving to Node #0,1
Current State: 78:[37, 38, 78], Operations: ['81-3=78']
Exploring Operation: 38-37=1, Resulting Numbers: [78, 1]
Generated Node #0,1,0: 78:[78, 1] Operation: 38-37=1
Exploring Operation: 78-37=41, Resulting Numbers: [38, 41]
Generated Node #0,1,1: 78:[38, 41] Operation: 78-37=41
Exploring Operation: 37+38=75, Resulting Numbers: [78, 75]
Generated Node #0,1,2: 78:[78, 75] Operation: 37+38=75
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 78:[78, 1], Operations: ['81-3=78', '38-37=1']
Exploring Operation: 78/1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[81, 37, 38, 3], Operations: []
Exploring Operation: 81-3=78, Resulting Numbers: [37, 38, 78]
Generated Node #0,1: 78:[37, 38, 78] Operation: 81-3=78
Moving to Node #0,1
Current State: 78:[37, 38, 78], Operations: ['81-3=78']
Exploring Operation: 38-37=1, Resulting Numbers: [78, 1]
Generated Node #0,1,0: 78:[78, 1] Operation: 38-37=1
Moving to Node #0,1,0
Current State: 78:[78, 1], Operations: ['81-3=78', '38-37=1']
Exploring Operation: 78/1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
35,
20,
71,
14
] | 21 | [
"35*20=700",
"700/14=50",
"71-50=21"
] | Current State: 21:[35, 20, 71, 14], Operations: []
Exploring Operation: 35*20=700, Resulting Numbers: [71, 14, 700]
Generated Node #2: [71, 14, 700] from Operation: 35*20=700
Current State: 21:[71, 14, 700], Operations: ['35*20=700']
Exploring Operation: 700/14=50, Resulting Numbers: [71, 50]
Generated Node #3: [71, 50] from Operation: 700/14=50
Current State: 21:[71, 50], Operations: ['35*20=700', '700/14=50']
Exploring Operation: 71-50=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[35, 20, 71, 14], Operations: []
Exploring Operation: 35-14=21, Resulting Numbers: [20, 71, 21]
Generated Node #0,0: 21:[20, 71, 21] Operation: 35-14=21
Exploring Operation: 71-20=51, Resulting Numbers: [35, 14, 51]
Generated Node #0,1: 21:[35, 14, 51] Operation: 71-20=51
Exploring Operation: 71-35=36, Resulting Numbers: [20, 14, 36]
Generated Node #0,2: 21:[20, 14, 36] Operation: 71-35=36
Start Sub Search at level 1: Moving to Node #0,2
Current State: 21:[20, 14, 36], Operations: ['71-35=36']
Exploring Operation: 20-14=6, Resulting Numbers: [36, 6]
Generated Node #0,2,0: 21:[36, 6] Operation: 20-14=6
Exploring Operation: 36-20=16, Resulting Numbers: [14, 16]
Generated Node #0,2,1: 21:[14, 16] Operation: 36-20=16
Exploring Operation: 36-14=22, Resulting Numbers: [20, 22]
Generated Node #0,2,2: 21:[20, 22] Operation: 36-14=22
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 21:[20, 22], Operations: ['71-35=36', '36-14=22']
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,21 unequal: No Solution
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,21 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,21 unequal: No Solution
No 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: 21:[14, 16], Operations: ['71-35=36', '36-20=16']
Exploring Operation: 14*16=224, Resulting Numbers: [224]
224,21 unequal: No Solution
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,21 unequal: No Solution
No 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: 21:[36, 6], Operations: ['71-35=36', '20-14=6']
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,21 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,21 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,21 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: 21:[20, 71, 21], Operations: ['35-14=21']
Exploring Operation: 71-20=51, Resulting Numbers: [21, 51]
Generated Node #0,0,0: 21:[21, 51] Operation: 71-20=51
Exploring Operation: 21-20=1, Resulting Numbers: [71, 1]
Generated Node #0,0,1: 21:[71, 1] Operation: 21-20=1
Exploring Operation: 71-21=50, Resulting Numbers: [20, 50]
Generated Node #0,0,2: 21:[20, 50] Operation: 71-21=50
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 21:[21, 51], Operations: ['35-14=21', '71-20=51']
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,21 unequal: No Solution
Exploring Operation: 21*51=1071, Resulting Numbers: [1071]
1071,21 unequal: No Solution
Exploring Operation: 21+51=72, Resulting Numbers: [72]
72,21 unequal: No Solution
No 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: 21:[20, 50], Operations: ['35-14=21', '71-21=50']
Exploring Operation: 20+50=70, Resulting Numbers: [70]
70,21 unequal: No Solution
Exploring Operation: 20*50=1000, Resulting Numbers: [1000]
1000,21 unequal: No Solution
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,21 unequal: No Solution
No 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: 21:[71, 1], Operations: ['35-14=21', '21-20=1']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,21 unequal: No Solution
Exploring Operation: 71*1=71, Resulting Numbers: [71]
71,21 unequal: No Solution
Exploring Operation: 71/1=71, Resulting Numbers: [71]
71,21 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: 21:[35, 14, 51], Operations: ['71-20=51']
Exploring Operation: 51-14=37, Resulting Numbers: [35, 37]
Generated Node #0,1,0: 21:[35, 37] Operation: 51-14=37
Exploring Operation: 51-35=16, Resulting Numbers: [14, 16]
Generated Node #0,1,1: 21:[14, 16] Operation: 51-35=16
Exploring Operation: 35-14=21, Resulting Numbers: [51, 21]
Generated Node #0,1,2: 21:[51, 21] Operation: 35-14=21
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 21:[14, 16], Operations: ['71-20=51', '51-35=16']
Exploring Operation: 14*16=224, Resulting Numbers: [224]
224,21 unequal: No Solution
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,21 unequal: No Solution
No 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: 21:[35, 37], Operations: ['71-20=51', '51-14=37']
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 35*37=1295, Resulting Numbers: [1295]
1295,21 unequal: No Solution
Exploring Operation: 35+37=72, Resulting Numbers: [72]
72,21 unequal: No Solution
No 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: 21:[51, 21], Operations: ['71-20=51', '35-14=21']
Exploring Operation: 51*21=1071, Resulting Numbers: [1071]
1071,21 unequal: No Solution
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,21 unequal: No Solution
Exploring Operation: 51+21=72, Resulting Numbers: [72]
72,21 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 |
[
72,
46,
64,
34
] | 58 | [
"46-34=12",
"72/12=6",
"64-6=58"
] | Current State: 58:[72, 46, 64, 34], Operations: []
Exploring Operation: 46-34=12, Resulting Numbers: [72, 64, 12]
Generated Node #2: [72, 64, 12] from Operation: 46-34=12
Current State: 58:[72, 64, 12], Operations: ['46-34=12']
Exploring Operation: 72/12=6, Resulting Numbers: [64, 6]
Generated Node #3: [64, 6] from Operation: 72/12=6
Current State: 58:[64, 6], Operations: ['46-34=12', '72/12=6']
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[72, 46, 64, 34], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [46, 34, 8]
Generated Node #0,0: 58:[46, 34, 8] Operation: 72-64=8
Exploring Operation: 72-34=38, Resulting Numbers: [46, 64, 38]
Generated Node #0,1: 58:[46, 64, 38] Operation: 72-34=38
Exploring Operation: 72-46=26, Resulting Numbers: [64, 34, 26]
Generated Node #0,2: 58:[64, 34, 26] Operation: 72-46=26
Moving to Node #0,2
Current State: 58:[64, 34, 26], Operations: ['72-46=26']
Exploring Operation: 64-34=30, Resulting Numbers: [26, 30]
Generated Node #0,2,0: 58:[26, 30] Operation: 64-34=30
Exploring Operation: 34+26=60, Resulting Numbers: [64, 60]
Generated Node #0,2,1: 58:[64, 60] Operation: 34+26=60
Exploring Operation: 34-26=8, Resulting Numbers: [64, 8]
Generated Node #0,2,2: 58:[64, 8] Operation: 34-26=8
Moving to Node #0,0
Current State: 58:[46, 34, 8], Operations: ['72-64=8']
Exploring Operation: 34-8=26, Resulting Numbers: [46, 26]
Generated Node #0,0,0: 58:[46, 26] Operation: 34-8=26
Exploring Operation: 46+8=54, Resulting Numbers: [34, 54]
Generated Node #0,0,1: 58:[34, 54] Operation: 46+8=54
Exploring Operation: 46-8=38, Resulting Numbers: [34, 38]
Generated Node #0,0,2: 58:[34, 38] Operation: 46-8=38
Moving to Node #0,1
Current State: 58:[46, 64, 38], Operations: ['72-34=38']
Exploring Operation: 64-46=18, Resulting Numbers: [38, 18]
Generated Node #0,1,0: 58:[38, 18] Operation: 64-46=18
Exploring Operation: 46-38=8, Resulting Numbers: [64, 8]
Generated Node #0,1,1: 58:[64, 8] Operation: 46-38=8
Exploring Operation: 64-38=26, Resulting Numbers: [46, 26]
Generated Node #0,1,2: 58:[46, 26] Operation: 64-38=26
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 58:[64, 8], Operations: ['72-34=38', '46-38=8']
Exploring Operation: 64+8=72, Resulting Numbers: [72]
72,58 unequal: No Solution
Exploring Operation: 64/8=8, Resulting Numbers: [8]
8,58 unequal: No Solution
Exploring Operation: 64-8=56, Resulting Numbers: [56]
56,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 58:[46, 26], Operations: ['72-34=38', '64-38=26']
Exploring Operation: 46+26=72, Resulting Numbers: [72]
72,58 unequal: No Solution
Exploring Operation: 46*26=1196, Resulting Numbers: [1196]
1196,58 unequal: No Solution
Exploring Operation: 46-26=20, Resulting Numbers: [20]
20,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 58:[38, 18], Operations: ['72-34=38', '64-46=18']
Exploring Operation: 38+18=56, Resulting Numbers: [56]
56,58 unequal: No Solution
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,58 unequal: No Solution
Exploring Operation: 38*18=684, Resulting Numbers: [684]
684,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 58:[26, 30], Operations: ['72-46=26', '64-34=30']
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,58 unequal: No Solution
Exploring Operation: 26*30=780, Resulting Numbers: [780]
780,58 unequal: No Solution
Exploring Operation: 26+30=56, Resulting Numbers: [56]
56,58 unequal: No Solution
Moving to Node #0,2,1
Current State: 58:[64, 60], Operations: ['72-46=26', '34+26=60']
Exploring Operation: 64*60=3840, Resulting Numbers: [3840]
3840,58 unequal: No Solution
Exploring Operation: 64+60=124, Resulting Numbers: [124]
124,58 unequal: No Solution
Exploring Operation: 64-60=4, Resulting Numbers: [4]
4,58 unequal: No Solution
Moving to Node #0,0,1
Current State: 58:[34, 54], Operations: ['72-64=8', '46+8=54']
Exploring Operation: 54-34=20, Resulting Numbers: [20]
20,58 unequal: No Solution
Exploring Operation: 34*54=1836, Resulting Numbers: [1836]
1836,58 unequal: No Solution
Exploring Operation: 34+54=88, Resulting Numbers: [88]
88,58 unequal: No Solution
Moving to Node #0,2,2
Current State: 58:[64, 8], Operations: ['72-46=26', '34-26=8']
Exploring Operation: 64-8=56, Resulting Numbers: [56]
56,58 unequal: No Solution
Exploring Operation: 64+8=72, Resulting Numbers: [72]
72,58 unequal: No Solution
Exploring Operation: 64/8=8, Resulting Numbers: [8]
8,58 unequal: No Solution
Moving to Node #0,0,2
Current State: 58:[34, 38], Operations: ['72-64=8', '46-8=38']
Exploring Operation: 34+38=72, Resulting Numbers: [72]
72,58 unequal: No Solution
Exploring Operation: 38-34=4, Resulting Numbers: [4]
4,58 unequal: No Solution
Exploring Operation: 34*38=1292, Resulting Numbers: [1292]
1292,58 unequal: No Solution
Moving to Node #0,0,0
Current State: 58:[46, 26], Operations: ['72-64=8', '34-8=26']
Exploring Operation: 46+26=72, Resulting Numbers: [72]
72,58 unequal: No Solution
Exploring Operation: 46-26=20, Resulting Numbers: [20]
20,58 unequal: No Solution
Exploring Operation: 46*26=1196, Resulting Numbers: [1196]
1196,58 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
60,
83,
18,
3
] | 81 | [
"60/3=20",
"83+18=101",
"101-20=81"
] | Current State: 81:[60, 83, 18, 3], Operations: []
Exploring Operation: 60/3=20, Resulting Numbers: [83, 18, 20]
Generated Node #2: [83, 18, 20] from Operation: 60/3=20
Current State: 81:[83, 18, 20], Operations: ['60/3=20']
Exploring Operation: 83+18=101, Resulting Numbers: [20, 101]
Generated Node #3: [20, 101] from Operation: 83+18=101
Current State: 81:[20, 101], Operations: ['60/3=20', '83+18=101']
Exploring Operation: 101-20=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[60, 83, 18, 3], Operations: []
Exploring Operation: 60+18=78, Resulting Numbers: [83, 3, 78]
Generated Node #0,0: 81:[83, 3, 78] Operation: 60+18=78
Exploring Operation: 60-18=42, Resulting Numbers: [83, 3, 42]
Generated Node #0,1: 81:[83, 3, 42] Operation: 60-18=42
Exploring Operation: 83-60=23, Resulting Numbers: [18, 3, 23]
Generated Node #0,2: 81:[18, 3, 23] Operation: 83-60=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[83, 3, 78], Operations: ['60+18=78']
Exploring Operation: 78/3=26, Resulting Numbers: [83, 26]
Generated Node #0,0,0: 81:[83, 26] Operation: 78/3=26
Exploring Operation: 3+78=81, Resulting Numbers: [83, 81]
Generated Node #0,0,1: 81:[83, 81] Operation: 3+78=81
Exploring Operation: 83-78=5, Resulting Numbers: [3, 5]
Generated Node #0,0,2: 81:[3, 5] Operation: 83-78=5
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 81:[83, 81], Operations: ['60+18=78', '3+78=81']
Exploring Operation: 83+81=164, Resulting Numbers: [164]
164,81 unequal: No Solution
Exploring Operation: 83-81=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 83*81=6723, Resulting Numbers: [6723]
6723,81 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 #0,0,2
Current State: 81:[3, 5], Operations: ['60+18=78', '83-78=5']
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,81 unequal: No Solution
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,81 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,81 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 #0,0,0
Current State: 81:[83, 26], Operations: ['60+18=78', '78/3=26']
Exploring Operation: 83-26=57, Resulting Numbers: [57]
57,81 unequal: No Solution
Exploring Operation: 83*26=2158, Resulting Numbers: [2158]
2158,81 unequal: No Solution
Exploring Operation: 83+26=109, Resulting Numbers: [109]
109,81 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: 81:[18, 3, 23], Operations: ['83-60=23']
Exploring Operation: 18+3=21, Resulting Numbers: [23, 21]
Generated Node #0,2,0: 81:[23, 21] Operation: 18+3=21
Exploring Operation: 23-18=5, Resulting Numbers: [3, 5]
Generated Node #0,2,1: 81:[3, 5] Operation: 23-18=5
Exploring Operation: 18/3=6, Resulting Numbers: [23, 6]
Generated Node #0,2,2: 81:[23, 6] Operation: 18/3=6
Moving to Node #0,2,1
Current State: 81:[3, 5], Operations: ['83-60=23', '23-18=5']
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,81 unequal: No Solution
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,81 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Moving to Node #0,2,2
Current State: 81:[23, 6], Operations: ['83-60=23', '18/3=6']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,81 unequal: No Solution
Exploring Operation: 23*6=138, Resulting Numbers: [138]
138,81 unequal: No Solution
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,81 unequal: No Solution
Moving to Node #0,2,0
Current State: 81:[23, 21], Operations: ['83-60=23', '18+3=21']
Exploring Operation: 23+21=44, Resulting Numbers: [44]
44,81 unequal: No Solution
Exploring Operation: 23-21=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 23*21=483, Resulting Numbers: [483]
483,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[83, 3, 42], Operations: ['60-18=42']
Exploring Operation: 42-3=39, Resulting Numbers: [83, 39]
Generated Node #0,1,0: 81:[83, 39] Operation: 42-3=39
Exploring Operation: 42/3=14, Resulting Numbers: [83, 14]
Generated Node #0,1,1: 81:[83, 14] Operation: 42/3=14
Exploring Operation: 83-42=41, Resulting Numbers: [3, 41]
Generated Node #0,1,2: 81:[3, 41] Operation: 83-42=41
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 81:[83, 14], Operations: ['60-18=42', '42/3=14']
Exploring Operation: 83-14=69, Resulting Numbers: [69]
69,81 unequal: No Solution
Exploring Operation: 83+14=97, Resulting Numbers: [97]
97,81 unequal: No Solution
Exploring Operation: 83*14=1162, Resulting Numbers: [1162]
1162,81 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 #0,1,0
Current State: 81:[83, 39], Operations: ['60-18=42', '42-3=39']
Exploring Operation: 83-39=44, Resulting Numbers: [44]
44,81 unequal: No Solution
Exploring Operation: 83+39=122, Resulting Numbers: [122]
122,81 unequal: No Solution
Exploring Operation: 83*39=3237, Resulting Numbers: [3237]
3237,81 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 #0,1,2
Current State: 81:[3, 41], Operations: ['60-18=42', '83-42=41']
Exploring Operation: 3*41=123, Resulting Numbers: [123]
123,81 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,81 unequal: No Solution
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
13,
93,
15,
39
] | 52 | [
"13+93=106",
"15+39=54",
"106-54=52"
] | Current State: 52:[13, 93, 15, 39], Operations: []
Exploring Operation: 13+93=106, Resulting Numbers: [15, 39, 106]
Generated Node #2: [15, 39, 106] from Operation: 13+93=106
Current State: 52:[15, 39, 106], Operations: ['13+93=106']
Exploring Operation: 15+39=54, Resulting Numbers: [106, 54]
Generated Node #3: [106, 54] from Operation: 15+39=54
Current State: 52:[106, 54], Operations: ['13+93=106', '15+39=54']
Exploring Operation: 106-54=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[13, 93, 15, 39], Operations: []
Exploring Operation: 93-15=78, Resulting Numbers: [13, 39, 78]
Generated Node #0,0: 52:[13, 39, 78] Operation: 93-15=78
Exploring Operation: 93-39=54, Resulting Numbers: [13, 15, 54]
Generated Node #0,1: 52:[13, 15, 54] Operation: 93-39=54
Moving to Node #0,1
Current State: 52:[13, 15, 54], Operations: ['93-39=54']
Exploring Operation: 13+15=28, Resulting Numbers: [54, 28]
Generated Node #0,1,0: 52:[54, 28] Operation: 13+15=28
Exploring Operation: 15-13=2, Resulting Numbers: [54, 2]
Generated Node #0,1,1: 52:[54, 2] Operation: 15-13=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 52:[54, 2], Operations: ['93-39=54', '15-13=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[13, 93, 15, 39], Operations: []
Exploring Operation: 93-39=54, Resulting Numbers: [13, 15, 54]
Generated Node #0,1: 52:[13, 15, 54] Operation: 93-39=54
Moving to Node #0,1
Current State: 52:[13, 15, 54], Operations: ['93-39=54']
Exploring Operation: 15-13=2, Resulting Numbers: [54, 2]
Generated Node #0,1,1: 52:[54, 2] Operation: 15-13=2
Moving to Node #0,1,1
Current State: 52:[54, 2], Operations: ['93-39=54', '15-13=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
89,
94,
4,
93
] | 69 | [
"89+94=183",
"93+183=276",
"276/4=69"
] | Current State: 69:[89, 94, 4, 93], Operations: []
Exploring Operation: 89+94=183, Resulting Numbers: [4, 93, 183]
Generated Node #2: [4, 93, 183] from Operation: 89+94=183
Current State: 69:[4, 93, 183], Operations: ['89+94=183']
Exploring Operation: 93+183=276, Resulting Numbers: [4, 276]
Generated Node #3: [4, 276] from Operation: 93+183=276
Current State: 69:[4, 276], Operations: ['89+94=183', '93+183=276']
Exploring Operation: 276/4=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[89, 94, 4, 93], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [94, 4, 4]
Generated Node #0,0: 69:[94, 4, 4] Operation: 93-89=4
Exploring Operation: 94-89=5, Resulting Numbers: [4, 93, 5]
Generated Node #0,1: 69:[4, 93, 5] Operation: 94-89=5
Exploring Operation: 89-4=85, Resulting Numbers: [94, 93, 85]
Generated Node #0,2: 69:[94, 93, 85] Operation: 89-4=85
Exploring Operation: 94-4=90, Resulting Numbers: [89, 93, 90]
Generated Node #0,3: 69:[89, 93, 90] Operation: 94-4=90
Exploring Operation: 94-93=1, Resulting Numbers: [89, 4, 1]
Generated Node #0,4: 69:[89, 4, 1] Operation: 94-93=1
Start Sub Search at level 1: Moving to Node #0,4
Current State: 69:[89, 4, 1], Operations: ['94-93=1']
Exploring Operation: 89-4=85, Resulting Numbers: [1, 85]
Generated Node #0,4,0: 69:[1, 85] Operation: 89-4=85
Exploring Operation: 89*1=89, Resulting Numbers: [4, 89]
Generated Node #0,4,1: 69:[4, 89] Operation: 89*1=89
Exploring Operation: 89/1=89, Resulting Numbers: [4, 89]
Generated Node #0,4,2: 69:[4, 89] Operation: 89/1=89
Exploring Operation: 4-1=3, Resulting Numbers: [89, 3]
Generated Node #0,4,3: 69:[89, 3] Operation: 4-1=3
Exploring Operation: 89-1=88, Resulting Numbers: [4, 88]
Generated Node #0,4,4: 69:[4, 88] Operation: 89-1=88
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 69:[1, 85], Operations: ['94-93=1', '89-4=85']
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,69 unequal: No Solution
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,69 unequal: No Solution
Exploring Operation: 1+85=86, Resulting Numbers: [86]
86,69 unequal: No Solution
Exploring Operation: 1*85=85, Resulting Numbers: [85]
85,69 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 69:[89, 3], Operations: ['94-93=1', '4-1=3']
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,69 unequal: No Solution
Exploring Operation: 89*3=267, Resulting Numbers: [267]
267,69 unequal: No Solution
No 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: 69:[4, 88], Operations: ['94-93=1', '89-1=88']
Exploring Operation: 4+88=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,69 unequal: No Solution
Exploring Operation: 4*88=352, Resulting Numbers: [352]
352,69 unequal: No Solution
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,69 unequal: No Solution
No 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: 69:[4, 89], Operations: ['94-93=1', '89*1=89']
Exploring Operation: 4+89=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Exploring Operation: 89-4=85, Resulting Numbers: [85]
85,69 unequal: No Solution
Exploring Operation: 4*89=356, Resulting Numbers: [356]
356,69 unequal: No Solution
No 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: 69:[4, 89], Operations: ['94-93=1', '89/1=89']
Exploring Operation: 89-4=85, Resulting Numbers: [85]
85,69 unequal: No Solution
Exploring Operation: 4+89=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Exploring Operation: 4*89=356, Resulting Numbers: [356]
356,69 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: 69:[94, 4, 4], Operations: ['93-89=4']
Exploring Operation: 94+4=98, Resulting Numbers: [4, 98]
Generated Node #0,0,0: 69:[4, 98] Operation: 94+4=98
Exploring Operation: 4-4=0, Resulting Numbers: [94, 0]
Generated Node #0,0,1: 69:[94, 0] Operation: 4-4=0
Exploring Operation: 94-4=90, Resulting Numbers: [4, 90]
Generated Node #0,0,2: 69:[4, 90] Operation: 94-4=90
Exploring Operation: 94-4=90, Resulting Numbers: [4, 90]
Generated Node #0,0,3: 69:[4, 90] Operation: 94-4=90
Exploring Operation: 4/4=1, Resulting Numbers: [94, 1]
Generated Node #0,0,4: 69:[94, 1] Operation: 4/4=1
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 69:[4, 90], Operations: ['93-89=4', '94-4=90']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,69 unequal: No Solution
Exploring Operation: 4*90=360, Resulting Numbers: [360]
360,69 unequal: No Solution
Exploring Operation: 4+90=94, Resulting Numbers: [94]
94,69 unequal: No Solution
No 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: 69:[4, 90], Operations: ['93-89=4', '94-4=90']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,69 unequal: No Solution
Exploring Operation: 4+90=94, Resulting Numbers: [94]
94,69 unequal: No Solution
Exploring Operation: 4*90=360, Resulting Numbers: [360]
360,69 unequal: No Solution
No 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: 69:[94, 1], Operations: ['93-89=4', '4/4=1']
Exploring Operation: 94/1=94, Resulting Numbers: [94]
94,69 unequal: No Solution
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,69 unequal: No Solution
Exploring Operation: 94+1=95, Resulting Numbers: [95]
95,69 unequal: No Solution
No 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: 69:[94, 0], Operations: ['93-89=4', '4-4=0']
Exploring Operation: 94*0=0, Resulting Numbers: [0]
0,69 unequal: No Solution
Exploring Operation: 94+0=94, Resulting Numbers: [94]
94,69 unequal: No Solution
Exploring Operation: 94-0=94, Resulting Numbers: [94]
94,69 unequal: No Solution
No 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: 69:[4, 98], Operations: ['93-89=4', '94+4=98']
Exploring Operation: 4*98=392, Resulting Numbers: [392]
392,69 unequal: No Solution
Exploring Operation: 4+98=102, Resulting Numbers: [102]
102,69 unequal: No Solution
Exploring Operation: 98-4=94, Resulting Numbers: [94]
94,69 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: 69:[4, 93, 5], Operations: ['94-89=5']
Exploring Operation: 93-5=88, Resulting Numbers: [4, 88]
Generated Node #0,1,0: 69:[4, 88] Operation: 93-5=88
Exploring Operation: 5-4=1, Resulting Numbers: [93, 1]
Generated Node #0,1,1: 69:[93, 1] Operation: 5-4=1
Exploring Operation: 4+93=97, Resulting Numbers: [5, 97]
Generated Node #0,1,2: 69:[5, 97] Operation: 4+93=97
Exploring Operation: 93-4=89, Resulting Numbers: [5, 89]
Generated Node #0,1,3: 69:[5, 89] Operation: 93-4=89
Exploring Operation: 4*5=20, Resulting Numbers: [93, 20]
Generated Node #0,1,4: 69:[93, 20] Operation: 4*5=20
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 69:[4, 88], Operations: ['94-89=5', '93-5=88']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,69 unequal: No Solution
Exploring Operation: 4*88=352, Resulting Numbers: [352]
352,69 unequal: No Solution
Exploring Operation: 4+88=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,69 unequal: No Solution
No 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: 69:[5, 89], Operations: ['94-89=5', '93-4=89']
Exploring Operation: 5+89=94, Resulting Numbers: [94]
94,69 unequal: No Solution
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,69 unequal: No Solution
Exploring Operation: 5*89=445, Resulting Numbers: [445]
445,69 unequal: No Solution
No 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: 69:[93, 1], Operations: ['94-89=5', '5-4=1']
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Exploring Operation: 93+1=94, Resulting Numbers: [94]
94,69 unequal: No Solution
Exploring Operation: 93/1=93, Resulting Numbers: [93]
93,69 unequal: No Solution
No 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: 69:[93, 20], Operations: ['94-89=5', '4*5=20']
Exploring Operation: 93-20=73, Resulting Numbers: [73]
73,69 unequal: No Solution
Exploring Operation: 93*20=1860, Resulting Numbers: [1860]
1860,69 unequal: No Solution
Exploring Operation: 93+20=113, Resulting Numbers: [113]
113,69 unequal: No Solution
No 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: 69:[5, 97], Operations: ['94-89=5', '4+93=97']
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 5*97=485, Resulting Numbers: [485]
485,69 unequal: No Solution
Exploring Operation: 5+97=102, Resulting Numbers: [102]
102,69 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: 69:[94, 93, 85], Operations: ['89-4=85']
Exploring Operation: 94-85=9, Resulting Numbers: [93, 9]
Generated Node #0,2,0: 69:[93, 9] Operation: 94-85=9
Exploring Operation: 93-85=8, Resulting Numbers: [94, 8]
Generated Node #0,2,1: 69:[94, 8] Operation: 93-85=8
Exploring Operation: 94+85=179, Resulting Numbers: [93, 179]
Generated Node #0,2,2: 69:[93, 179] Operation: 94+85=179
Exploring Operation: 94-93=1, Resulting Numbers: [85, 1]
Generated Node #0,2,3: 69:[85, 1] Operation: 94-93=1
Exploring Operation: 94+93=187, Resulting Numbers: [85, 187]
Generated Node #0,2,4: 69:[85, 187] Operation: 94+93=187
Moving to Node #0,2,3
Current State: 69:[85, 1], Operations: ['89-4=85', '94-93=1']
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,69 unequal: No Solution
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,69 unequal: No Solution
Exploring Operation: 85+1=86, Resulting Numbers: [86]
86,69 unequal: No Solution
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,69 unequal: No Solution
Moving to Node #0,2,1
Current State: 69:[94, 8], Operations: ['89-4=85', '93-85=8']
Exploring Operation: 94*8=752, Resulting Numbers: [752]
752,69 unequal: No Solution
Exploring Operation: 94-8=86, Resulting Numbers: [86]
86,69 unequal: No Solution
Exploring Operation: 94+8=102, Resulting Numbers: [102]
102,69 unequal: No Solution
Moving to Node #0,2,0
Current State: 69:[93, 9], Operations: ['89-4=85', '94-85=9']
Exploring Operation: 93+9=102, Resulting Numbers: [102]
102,69 unequal: No Solution
Exploring Operation: 93-9=84, Resulting Numbers: [84]
84,69 unequal: No Solution
Exploring Operation: 93*9=837, Resulting Numbers: [837]
837,69 unequal: No Solution
Moving to Node #0,2,2
Current State: 69:[93, 179], Operations: ['89-4=85', '94+85=179']
Exploring Operation: 179-93=86, Resulting Numbers: [86]
86,69 unequal: No Solution
Exploring Operation: 93*179=16647, Resulting Numbers: [16647]
16647,69 unequal: No Solution
Exploring Operation: 93+179=272, Resulting Numbers: [272]
272,69 unequal: No Solution
Moving to Node #0,2,4
Current State: 69:[85, 187], Operations: ['89-4=85', '94+93=187']
Exploring Operation: 187-85=102, Resulting Numbers: [102]
102,69 unequal: No Solution
Exploring Operation: 85*187=15895, Resulting Numbers: [15895]
15895,69 unequal: No Solution
Exploring Operation: 85+187=272, Resulting Numbers: [272]
272,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 69:[89, 93, 90], Operations: ['94-4=90']
Exploring Operation: 90-89=1, Resulting Numbers: [93, 1]
Generated Node #0,3,0: 69:[93, 1] Operation: 90-89=1
Exploring Operation: 89+93=182, Resulting Numbers: [90, 182]
Generated Node #0,3,1: 69:[90, 182] Operation: 89+93=182
Exploring Operation: 93-89=4, Resulting Numbers: [90, 4]
Generated Node #0,3,2: 69:[90, 4] Operation: 93-89=4
Exploring Operation: 93-90=3, Resulting Numbers: [89, 3]
Generated Node #0,3,3: 69:[89, 3] Operation: 93-90=3
Exploring Operation: 89+90=179, Resulting Numbers: [93, 179]
Generated Node #0,3,4: 69:[93, 179] Operation: 89+90=179
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 69:[89, 3], Operations: ['94-4=90', '93-90=3']
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,69 unequal: No Solution
Exploring Operation: 89*3=267, Resulting Numbers: [267]
267,69 unequal: No Solution
No 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: 69:[90, 4], Operations: ['94-4=90', '93-89=4']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,69 unequal: No Solution
Exploring Operation: 90*4=360, Resulting Numbers: [360]
360,69 unequal: No Solution
Exploring Operation: 90+4=94, Resulting Numbers: [94]
94,69 unequal: No Solution
No 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: 69:[93, 1], Operations: ['94-4=90', '90-89=1']
Exploring Operation: 93/1=93, Resulting Numbers: [93]
93,69 unequal: No Solution
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 93+1=94, Resulting Numbers: [94]
94,69 unequal: No Solution
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,69 unequal: No Solution
No 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: 69:[90, 182], Operations: ['94-4=90', '89+93=182']
Exploring Operation: 182-90=92, Resulting Numbers: [92]
92,69 unequal: No Solution
Exploring Operation: 90+182=272, Resulting Numbers: [272]
272,69 unequal: No Solution
Exploring Operation: 90*182=16380, Resulting Numbers: [16380]
16380,69 unequal: No Solution
No 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: 69:[93, 179], Operations: ['94-4=90', '89+90=179']
Exploring Operation: 179-93=86, Resulting Numbers: [86]
86,69 unequal: No Solution
Exploring Operation: 93*179=16647, Resulting Numbers: [16647]
16647,69 unequal: No Solution
Exploring Operation: 93+179=272, Resulting Numbers: [272]
272,69 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 |
[
40,
43,
92,
51
] | 75 | [
"43-40=3",
"51/3=17",
"92-17=75"
] | Current State: 75:[40, 43, 92, 51], Operations: []
Exploring Operation: 43-40=3, Resulting Numbers: [92, 51, 3]
Generated Node #2: [92, 51, 3] from Operation: 43-40=3
Current State: 75:[92, 51, 3], Operations: ['43-40=3']
Exploring Operation: 51/3=17, Resulting Numbers: [92, 17]
Generated Node #3: [92, 17] from Operation: 51/3=17
Current State: 75:[92, 17], Operations: ['43-40=3', '51/3=17']
Exploring Operation: 92-17=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[40, 43, 92, 51], Operations: []
Exploring Operation: 51-43=8, Resulting Numbers: [40, 92, 8]
Generated Node #0,0: 75:[40, 92, 8] Operation: 51-43=8
Moving to Node #0,0
Current State: 75:[40, 92, 8], Operations: ['51-43=8']
Exploring Operation: 40/8=5, Resulting Numbers: [92, 5]
Generated Node #0,0,0: 75:[92, 5] Operation: 40/8=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 75:[92, 5], Operations: ['51-43=8', '40/8=5']
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,75 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 |
[
70,
74,
8,
66
] | 64 | [
"74-70=4",
"8/4=2",
"66-2=64"
] | Current State: 64:[70, 74, 8, 66], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [8, 66, 4]
Generated Node #2: [8, 66, 4] from Operation: 74-70=4
Current State: 64:[8, 66, 4], Operations: ['74-70=4']
Exploring Operation: 8/4=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 8/4=2
Current State: 64:[66, 2], Operations: ['74-70=4', '8/4=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[70, 74, 8, 66], Operations: []
Exploring Operation: 74-66=8, Resulting Numbers: [70, 8, 8]
Generated Node #0,0: 64:[70, 8, 8] Operation: 74-66=8
Exploring Operation: 74-70=4, Resulting Numbers: [8, 66, 4]
Generated Node #0,1: 64:[8, 66, 4] Operation: 74-70=4
Exploring Operation: 74-8=66, Resulting Numbers: [70, 66, 66]
Generated Node #0,2: 64:[70, 66, 66] Operation: 74-8=66
Exploring Operation: 70-8=62, Resulting Numbers: [74, 66, 62]
Generated Node #0,3: 64:[74, 66, 62] Operation: 70-8=62
Exploring Operation: 70-66=4, Resulting Numbers: [74, 8, 4]
Generated Node #0,4: 64:[74, 8, 4] Operation: 70-66=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[8, 66, 4], Operations: ['74-70=4']
Exploring Operation: 8*4=32, Resulting Numbers: [66, 32]
Generated Node #0,1,0: 64:[66, 32] Operation: 8*4=32
Exploring Operation: 66-4=62, Resulting Numbers: [8, 62]
Generated Node #0,1,1: 64:[8, 62] Operation: 66-4=62
Exploring Operation: 8-4=4, Resulting Numbers: [66, 4]
Generated Node #0,1,2: 64:[66, 4] Operation: 8-4=4
Exploring Operation: 66-8=58, Resulting Numbers: [4, 58]
Generated Node #0,1,3: 64:[4, 58] Operation: 66-8=58
Exploring Operation: 8/4=2, Resulting Numbers: [66, 2]
Generated Node #0,1,4: 64:[66, 2] Operation: 8/4=2
Moving to Node #0,1,0
Current State: 64:[66, 32], Operations: ['74-70=4', '8*4=32']
Exploring Operation: 66*32=2112, Resulting Numbers: [2112]
2112,64 unequal: No Solution
Exploring Operation: 66-32=34, Resulting Numbers: [34]
34,64 unequal: No Solution
Exploring Operation: 66+32=98, Resulting Numbers: [98]
98,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[66, 4], Operations: ['74-70=4', '8-4=4']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,64 unequal: No Solution
Exploring Operation: 66*4=264, Resulting Numbers: [264]
264,64 unequal: No Solution
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[8, 62], Operations: ['74-70=4', '66-4=62']
Exploring Operation: 8+62=70, Resulting Numbers: [70]
70,64 unequal: No Solution
Exploring Operation: 62-8=54, Resulting Numbers: [54]
54,64 unequal: No Solution
Exploring Operation: 8*62=496, Resulting Numbers: [496]
496,64 unequal: No Solution
Moving to Node #0,1,4
Current State: 64:[66, 2], Operations: ['74-70=4', '8/4=2']
Exploring Operation: 66*2=132, Resulting Numbers: [132]
132,64 unequal: No Solution
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,64 unequal: No Solution
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,64 unequal: No Solution
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[70, 74, 8, 66], Operations: []
Exploring Operation: 74-70=4, Resulting Numbers: [8, 66, 4]
Generated Node #0,1: 64:[8, 66, 4] Operation: 74-70=4
Moving to Node #0,1
Current State: 64:[8, 66, 4], Operations: ['74-70=4']
Exploring Operation: 8/4=2, Resulting Numbers: [66, 2]
Generated Node #0,1,4: 64:[66, 2] Operation: 8/4=2
Moving to Node #0,1,4
Current State: 64:[66, 2], Operations: ['74-70=4', '8/4=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | sum_heuristic |
[
19,
11,
84,
93
] | 80 | [
"93-84=9",
"11*9=99",
"99-19=80"
] | Current State: 80:[19, 11, 84, 93], Operations: []
Exploring Operation: 93-84=9, Resulting Numbers: [19, 11, 9]
Generated Node #2: [19, 11, 9] from Operation: 93-84=9
Current State: 80:[19, 11, 9], Operations: ['93-84=9']
Exploring Operation: 11*9=99, Resulting Numbers: [19, 99]
Generated Node #3: [19, 99] from Operation: 11*9=99
Current State: 80:[19, 99], Operations: ['93-84=9', '11*9=99']
Exploring Operation: 99-19=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[19, 11, 84, 93], Operations: []
Exploring Operation: 93-11=82, Resulting Numbers: [19, 84, 82]
Generated Node #0,0: 80:[19, 84, 82] Operation: 93-11=82
Exploring Operation: 93-84=9, Resulting Numbers: [19, 11, 9]
Generated Node #0,1: 80:[19, 11, 9] Operation: 93-84=9
Moving to Node #0,1
Current State: 80:[19, 11, 9], Operations: ['93-84=9']
Exploring Operation: 19-9=10, Resulting Numbers: [11, 10]
Generated Node #0,1,0: 80:[11, 10] Operation: 19-9=10
Exploring Operation: 19-11=8, Resulting Numbers: [9, 8]
Generated Node #0,1,1: 80:[9, 8] Operation: 19-11=8
Moving to Node #0,0
Current State: 80:[19, 84, 82], Operations: ['93-11=82']
Exploring Operation: 84-82=2, Resulting Numbers: [19, 2]
Generated Node #0,0,0: 80:[19, 2] Operation: 84-82=2
Exploring Operation: 84-19=65, Resulting Numbers: [82, 65]
Generated Node #0,0,1: 80:[82, 65] Operation: 84-19=65
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[19, 2], Operations: ['93-11=82', '84-82=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,80 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,80 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, 65], Operations: ['93-11=82', '84-19=65']
Exploring Operation: 82-65=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 82+65=147, Resulting Numbers: [147]
147,80 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: 80:[11, 10], Operations: ['93-84=9', '19-9=10']
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,80 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[9, 8], Operations: ['93-84=9', '19-11=8']
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,80 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,80 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
62,
2,
28,
95
] | 19 | [
"95-62=33",
"28/2=14",
"33-14=19"
] | Current State: 19:[62, 2, 28, 95], Operations: []
Exploring Operation: 95-62=33, Resulting Numbers: [2, 28, 33]
Generated Node #2: [2, 28, 33] from Operation: 95-62=33
Current State: 19:[2, 28, 33], Operations: ['95-62=33']
Exploring Operation: 28/2=14, Resulting Numbers: [33, 14]
Generated Node #3: [33, 14] from Operation: 28/2=14
Current State: 19:[33, 14], Operations: ['95-62=33', '28/2=14']
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[62, 2, 28, 95], Operations: []
Exploring Operation: 62/2=31, Resulting Numbers: [28, 95, 31]
Generated Node #0,0: 19:[28, 95, 31] Operation: 62/2=31
Exploring Operation: 28/2=14, Resulting Numbers: [62, 95, 14]
Generated Node #0,1: 19:[62, 95, 14] Operation: 28/2=14
Exploring Operation: 95-28=67, Resulting Numbers: [62, 2, 67]
Generated Node #0,2: 19:[62, 2, 67] Operation: 95-28=67
Exploring Operation: 62-28=34, Resulting Numbers: [2, 95, 34]
Generated Node #0,3: 19:[2, 95, 34] Operation: 62-28=34
Exploring Operation: 95-62=33, Resulting Numbers: [2, 28, 33]
Generated Node #0,4: 19:[2, 28, 33] Operation: 95-62=33
Moving to Node #0,4
Current State: 19:[2, 28, 33], Operations: ['95-62=33']
Exploring Operation: 28-2=26, Resulting Numbers: [33, 26]
Generated Node #0,4,0: 19:[33, 26] Operation: 28-2=26
Exploring Operation: 2+33=35, Resulting Numbers: [28, 35]
Generated Node #0,4,1: 19:[28, 35] Operation: 2+33=35
Exploring Operation: 33-2=31, Resulting Numbers: [28, 31]
Generated Node #0,4,2: 19:[28, 31] Operation: 33-2=31
Exploring Operation: 2+28=30, Resulting Numbers: [33, 30]
Generated Node #0,4,3: 19:[33, 30] Operation: 2+28=30
Exploring Operation: 28/2=14, Resulting Numbers: [33, 14]
Generated Node #0,4,4: 19:[33, 14] Operation: 28/2=14
Moving to Node #0,0
Current State: 19:[28, 95, 31], Operations: ['62/2=31']
Exploring Operation: 95-31=64, Resulting Numbers: [28, 64]
Generated Node #0,0,0: 19:[28, 64] Operation: 95-31=64
Exploring Operation: 28+31=59, Resulting Numbers: [95, 59]
Generated Node #0,0,1: 19:[95, 59] Operation: 28+31=59
Exploring Operation: 95-28=67, Resulting Numbers: [31, 67]
Generated Node #0,0,2: 19:[31, 67] Operation: 95-28=67
Exploring Operation: 28+95=123, Resulting Numbers: [31, 123]
Generated Node #0,0,3: 19:[31, 123] Operation: 28+95=123
Exploring Operation: 31-28=3, Resulting Numbers: [95, 3]
Generated Node #0,0,4: 19:[95, 3] Operation: 31-28=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[28, 64], Operations: ['62/2=31', '95-31=64']
Exploring Operation: 28*64=1792, Resulting Numbers: [1792]
1792,19 unequal: No Solution
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Exploring Operation: 28+64=92, Resulting Numbers: [92]
92,19 unequal: No Solution
No solution 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: 19:[31, 67], Operations: ['62/2=31', '95-28=67']
Exploring Operation: 31+67=98, Resulting Numbers: [98]
98,19 unequal: No Solution
Exploring Operation: 31*67=2077, Resulting Numbers: [2077]
2077,19 unequal: No Solution
Exploring Operation: 67-31=36, Resulting Numbers: [36]
36,19 unequal: No Solution
No solution 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: 19:[95, 3], Operations: ['62/2=31', '31-28=3']
Exploring Operation: 95+3=98, Resulting Numbers: [98]
98,19 unequal: No Solution
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,19 unequal: No Solution
Exploring Operation: 95*3=285, Resulting Numbers: [285]
285,19 unequal: No Solution
No solution 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: 19:[95, 59], Operations: ['62/2=31', '28+31=59']
Exploring Operation: 95-59=36, Resulting Numbers: [36]
36,19 unequal: No Solution
Exploring Operation: 95*59=5605, Resulting Numbers: [5605]
5605,19 unequal: No Solution
Exploring Operation: 95+59=154, Resulting Numbers: [154]
154,19 unequal: No Solution
No solution 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: 19:[31, 123], Operations: ['62/2=31', '28+95=123']
Exploring Operation: 31+123=154, Resulting Numbers: [154]
154,19 unequal: No Solution
Exploring Operation: 31*123=3813, Resulting Numbers: [3813]
3813,19 unequal: No Solution
Exploring Operation: 123-31=92, Resulting Numbers: [92]
92,19 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: 19:[62, 2, 67], Operations: ['95-28=67']
Exploring Operation: 62/2=31, Resulting Numbers: [67, 31]
Generated Node #0,2,0: 19:[67, 31] Operation: 62/2=31
Exploring Operation: 67-2=65, Resulting Numbers: [62, 65]
Generated Node #0,2,1: 19:[62, 65] Operation: 67-2=65
Exploring Operation: 62+2=64, Resulting Numbers: [67, 64]
Generated Node #0,2,2: 19:[67, 64] Operation: 62+2=64
Exploring Operation: 62-2=60, Resulting Numbers: [67, 60]
Generated Node #0,2,3: 19:[67, 60] Operation: 62-2=60
Exploring Operation: 67-62=5, Resulting Numbers: [2, 5]
Generated Node #0,2,4: 19:[2, 5] Operation: 67-62=5
Moving to Node #0,3
Current State: 19:[2, 95, 34], Operations: ['62-28=34']
Exploring Operation: 95-2=93, Resulting Numbers: [34, 93]
Generated Node #0,3,0: 19:[34, 93] Operation: 95-2=93
Exploring Operation: 34-2=32, Resulting Numbers: [95, 32]
Generated Node #0,3,1: 19:[95, 32] Operation: 34-2=32
Exploring Operation: 34/2=17, Resulting Numbers: [95, 17]
Generated Node #0,3,2: 19:[95, 17] Operation: 34/2=17
Exploring Operation: 2+95=97, Resulting Numbers: [34, 97]
Generated Node #0,3,3: 19:[34, 97] Operation: 2+95=97
Exploring Operation: 95-34=61, Resulting Numbers: [2, 61]
Generated Node #0,3,4: 19:[2, 61] Operation: 95-34=61
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 19:[2, 61], Operations: ['62-28=34', '95-34=61']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,19 unequal: No Solution
Exploring Operation: 2+61=63, Resulting Numbers: [63]
63,19 unequal: No Solution
Exploring Operation: 2*61=122, Resulting Numbers: [122]
122,19 unequal: No Solution
No 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: 19:[95, 17], Operations: ['62-28=34', '34/2=17']
Exploring Operation: 95*17=1615, Resulting Numbers: [1615]
1615,19 unequal: No Solution
Exploring Operation: 95-17=78, Resulting Numbers: [78]
78,19 unequal: No Solution
Exploring Operation: 95+17=112, Resulting Numbers: [112]
112,19 unequal: No Solution
No 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: 19:[34, 93], Operations: ['62-28=34', '95-2=93']
Exploring Operation: 34*93=3162, Resulting Numbers: [3162]
3162,19 unequal: No Solution
Exploring Operation: 93-34=59, Resulting Numbers: [59]
59,19 unequal: No Solution
Exploring Operation: 34+93=127, Resulting Numbers: [127]
127,19 unequal: No Solution
No 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: 19:[95, 32], Operations: ['62-28=34', '34-2=32']
Exploring Operation: 95-32=63, Resulting Numbers: [63]
63,19 unequal: No Solution
Exploring Operation: 95+32=127, Resulting Numbers: [127]
127,19 unequal: No Solution
Exploring Operation: 95*32=3040, Resulting Numbers: [3040]
3040,19 unequal: No Solution
No 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: 19:[34, 97], Operations: ['62-28=34', '2+95=97']
Exploring Operation: 97-34=63, Resulting Numbers: [63]
63,19 unequal: No Solution
Exploring Operation: 34+97=131, Resulting Numbers: [131]
131,19 unequal: No Solution
Exploring Operation: 34*97=3298, Resulting Numbers: [3298]
3298,19 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: 19:[62, 95, 14], Operations: ['28/2=14']
Exploring Operation: 62-14=48, Resulting Numbers: [95, 48]
Generated Node #0,1,0: 19:[95, 48] Operation: 62-14=48
Exploring Operation: 95-62=33, Resulting Numbers: [14, 33]
Generated Node #0,1,1: 19:[14, 33] Operation: 95-62=33
Exploring Operation: 95-14=81, Resulting Numbers: [62, 81]
Generated Node #0,1,2: 19:[62, 81] Operation: 95-14=81
Exploring Operation: 62+14=76, Resulting Numbers: [95, 76]
Generated Node #0,1,3: 19:[95, 76] Operation: 62+14=76
Exploring Operation: 95+14=109, Resulting Numbers: [62, 109]
Generated Node #0,1,4: 19:[62, 109] Operation: 95+14=109
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 19:[14, 33], Operations: ['28/2=14', '95-62=33']
Exploring Operation: 14*33=462, Resulting Numbers: [462]
462,19 unequal: No Solution
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[62, 2, 28, 95], Operations: []
Exploring Operation: 28/2=14, Resulting Numbers: [62, 95, 14]
Generated Node #0,1: 19:[62, 95, 14] Operation: 28/2=14
Moving to Node #0,1
Current State: 19:[62, 95, 14], Operations: ['28/2=14']
Exploring Operation: 95-62=33, Resulting Numbers: [14, 33]
Generated Node #0,1,1: 19:[14, 33] Operation: 95-62=33
Moving to Node #0,1,1
Current State: 19:[14, 33], Operations: ['28/2=14', '95-62=33']
Exploring Operation: 33-14=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.942708 | hs_5 | mult_heuristic |
[
26,
99,
90,
18
] | 72 | [
"26-18=8",
"99-90=9",
"8*9=72"
] | Current State: 72:[26, 99, 90, 18], Operations: []
Exploring Operation: 26-18=8, Resulting Numbers: [99, 90, 8]
Generated Node #2: [99, 90, 8] from Operation: 26-18=8
Current State: 72:[99, 90, 8], Operations: ['26-18=8']
Exploring Operation: 99-90=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 99-90=9
Current State: 72:[8, 9], Operations: ['26-18=8', '99-90=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[26, 99, 90, 18], Operations: []
Exploring Operation: 99-90=9, Resulting Numbers: [26, 18, 9]
Generated Node #0,0: 72:[26, 18, 9] Operation: 99-90=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[26, 18, 9], Operations: ['99-90=9']
Exploring Operation: 26-18=8, Resulting Numbers: [9, 8]
Generated Node #0,0,0: 72:[9, 8] Operation: 26-18=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[9, 8], Operations: ['99-90=9', '26-18=8']
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[26, 99, 90, 18], Operations: []
Exploring Operation: 99-90=9, Resulting Numbers: [26, 18, 9]
Generated Node #0,0: 72:[26, 18, 9] Operation: 99-90=9
Moving to Node #0,0
Current State: 72:[26, 18, 9], Operations: ['99-90=9']
Exploring Operation: 26-18=8, Resulting Numbers: [9, 8]
Generated Node #0,0,0: 72:[9, 8] Operation: 26-18=8
Moving to Node #0,0,0
Current State: 72:[9, 8], Operations: ['99-90=9', '26-18=8']
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
74,
99,
35,
74
] | 65 | [
"74/74=1",
"99-35=64",
"1+64=65"
] | Current State: 65:[74, 99, 35, 74], Operations: []
Exploring Operation: 74/74=1, Resulting Numbers: [99, 35, 1]
Generated Node #2: [99, 35, 1] from Operation: 74/74=1
Current State: 65:[99, 35, 1], Operations: ['74/74=1']
Exploring Operation: 99-35=64, Resulting Numbers: [1, 64]
Generated Node #3: [1, 64] from Operation: 99-35=64
Current State: 65:[1, 64], Operations: ['74/74=1', '99-35=64']
Exploring Operation: 1+64=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[74, 99, 35, 74], Operations: []
Exploring Operation: 99-74=25, Resulting Numbers: [74, 35, 25]
Generated Node #0,0: 65:[74, 35, 25] Operation: 99-74=25
Exploring Operation: 99-74=25, Resulting Numbers: [35, 74, 25]
Generated Node #0,1: 65:[35, 74, 25] Operation: 99-74=25
Exploring Operation: 99-35=64, Resulting Numbers: [74, 74, 64]
Generated Node #0,2: 65:[74, 74, 64] Operation: 99-35=64
Exploring Operation: 74/74=1, Resulting Numbers: [99, 35, 1]
Generated Node #0,3: 65:[99, 35, 1] Operation: 74/74=1
Moving to Node #0,2
Current State: 65:[74, 74, 64], Operations: ['99-35=64']
Exploring Operation: 74-74=0, Resulting Numbers: [64, 0]
Generated Node #0,2,0: 65:[64, 0] Operation: 74-74=0
Exploring Operation: 74/74=1, Resulting Numbers: [64, 1]
Generated Node #0,2,1: 65:[64, 1] Operation: 74/74=1
Exploring Operation: 74-64=10, Resulting Numbers: [74, 10]
Generated Node #0,2,2: 65:[74, 10] Operation: 74-64=10
Exploring Operation: 74-64=10, Resulting Numbers: [74, 10]
Generated Node #0,2,3: 65:[74, 10] Operation: 74-64=10
Moving to Node #0,1
Current State: 65:[35, 74, 25], Operations: ['99-74=25']
Exploring Operation: 35-25=10, Resulting Numbers: [74, 10]
Generated Node #0,1,0: 65:[74, 10] Operation: 35-25=10
Exploring Operation: 74-25=49, Resulting Numbers: [35, 49]
Generated Node #0,1,1: 65:[35, 49] Operation: 74-25=49
Exploring Operation: 74-35=39, Resulting Numbers: [25, 39]
Generated Node #0,1,2: 65:[25, 39] Operation: 74-35=39
Exploring Operation: 35+25=60, Resulting Numbers: [74, 60]
Generated Node #0,1,3: 65:[74, 60] Operation: 35+25=60
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 65:[74, 10], Operations: ['99-74=25', '35-25=10']
Exploring Operation: 74-10=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 74+10=84, Resulting Numbers: [84]
84,65 unequal: No Solution
Exploring Operation: 74*10=740, Resulting Numbers: [740]
740,65 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 #0,1,3
Current State: 65:[74, 60], Operations: ['99-74=25', '35+25=60']
Exploring Operation: 74*60=4440, Resulting Numbers: [4440]
4440,65 unequal: No Solution
Exploring Operation: 74+60=134, Resulting Numbers: [134]
134,65 unequal: No Solution
Exploring Operation: 74-60=14, Resulting Numbers: [14]
14,65 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 #0,1,1
Current State: 65:[35, 49], Operations: ['99-74=25', '74-25=49']
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 35*49=1715, Resulting Numbers: [1715]
1715,65 unequal: No Solution
Exploring Operation: 35+49=84, Resulting Numbers: [84]
84,65 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:[25, 39], Operations: ['99-74=25', '74-35=39']
Exploring Operation: 25*39=975, Resulting Numbers: [975]
975,65 unequal: No Solution
Exploring Operation: 25+39=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,65 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:[74, 35, 25], Operations: ['99-74=25']
Exploring Operation: 35+25=60, Resulting Numbers: [74, 60]
Generated Node #0,0,0: 65:[74, 60] Operation: 35+25=60
Exploring Operation: 35-25=10, Resulting Numbers: [74, 10]
Generated Node #0,0,1: 65:[74, 10] Operation: 35-25=10
Exploring Operation: 74-25=49, Resulting Numbers: [35, 49]
Generated Node #0,0,2: 65:[35, 49] Operation: 74-25=49
Exploring Operation: 74-35=39, Resulting Numbers: [25, 39]
Generated Node #0,0,3: 65:[25, 39] Operation: 74-35=39
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 65:[74, 10], Operations: ['99-74=25', '35-25=10']
Exploring Operation: 74+10=84, Resulting Numbers: [84]
84,65 unequal: No Solution
Exploring Operation: 74*10=740, Resulting Numbers: [740]
740,65 unequal: No Solution
Exploring Operation: 74-10=64, Resulting Numbers: [64]
64,65 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 #0,0,0
Current State: 65:[74, 60], Operations: ['99-74=25', '35+25=60']
Exploring Operation: 74-60=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 74*60=4440, Resulting Numbers: [4440]
4440,65 unequal: No Solution
Exploring Operation: 74+60=134, Resulting Numbers: [134]
134,65 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:[35, 49], Operations: ['99-74=25', '74-25=49']
Exploring Operation: 35*49=1715, Resulting Numbers: [1715]
1715,65 unequal: No Solution
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 35+49=84, Resulting Numbers: [84]
84,65 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 #0,0,3
Current State: 65:[25, 39], Operations: ['99-74=25', '74-35=39']
Exploring Operation: 25+39=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 25*39=975, Resulting Numbers: [975]
975,65 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: 65:[99, 35, 1], Operations: ['74/74=1']
Exploring Operation: 35-1=34, Resulting Numbers: [99, 34]
Generated Node #0,3,0: 65:[99, 34] Operation: 35-1=34
Exploring Operation: 99-35=64, Resulting Numbers: [1, 64]
Generated Node #0,3,1: 65:[1, 64] Operation: 99-35=64
Exploring Operation: 99*1=99, Resulting Numbers: [35, 99]
Generated Node #0,3,2: 65:[35, 99] Operation: 99*1=99
Exploring Operation: 99-1=98, Resulting Numbers: [35, 98]
Generated Node #0,3,3: 65:[35, 98] Operation: 99-1=98
Moving to Node #0,2,1
Current State: 65:[64, 1], Operations: ['99-35=64', '74/74=1']
Exploring Operation: 64-1=63, Resulting Numbers: [63]
63,65 unequal: No Solution
Exploring Operation: 64/1=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 64+1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[74, 99, 35, 74], Operations: []
Exploring Operation: 99-35=64, Resulting Numbers: [74, 74, 64]
Generated Node #0,2: 65:[74, 74, 64] Operation: 99-35=64
Moving to Node #0,2
Current State: 65:[74, 74, 64], Operations: ['99-35=64']
Exploring Operation: 74/74=1, Resulting Numbers: [64, 1]
Generated Node #0,2,1: 65:[64, 1] Operation: 74/74=1
Moving to Node #0,2,1
Current State: 65:[64, 1], Operations: ['99-35=64', '74/74=1']
Exploring Operation: 64+1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 0.955729 | hs_4 | mult_heuristic |
[
67,
81,
81,
2
] | 97 | [
"81-67=14",
"81+2=83",
"14+83=97"
] | Current State: 97:[67, 81, 81, 2], Operations: []
Exploring Operation: 81-67=14, Resulting Numbers: [2, 14]
Generated Node #2: [2, 14] from Operation: 81-67=14
Current State: 97:[2, 14], Operations: ['81-67=14']
Exploring Operation: 81+2=83, Resulting Numbers: [14, 83]
Generated Node #3: [14, 83] from Operation: 81+2=83
Current State: 97:[14, 83], Operations: ['81-67=14', '81+2=83']
Exploring Operation: 14+83=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[67, 81, 81, 2], Operations: []
Exploring Operation: 67+2=69, Resulting Numbers: [81, 81, 69]
Generated Node #0,0: 97:[81, 81, 69] Operation: 67+2=69
Moving to Node #0,0
Current State: 97:[81, 81, 69], Operations: ['67+2=69']
Exploring Operation: 81+69=150, Resulting Numbers: [81, 150]
Generated Node #0,0,0: 97:[81, 150] Operation: 81+69=150
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[81, 150], Operations: ['67+2=69', '81+69=150']
Exploring Operation: 150-81=69, Resulting Numbers: [69]
69,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
35,
74,
61,
86
] | 84 | [
"35+74=109",
"86-61=25",
"109-25=84"
] | Current State: 84:[35, 74, 61, 86], Operations: []
Exploring Operation: 35+74=109, Resulting Numbers: [61, 86, 109]
Generated Node #2: [61, 86, 109] from Operation: 35+74=109
Current State: 84:[61, 86, 109], Operations: ['35+74=109']
Exploring Operation: 86-61=25, Resulting Numbers: [109, 25]
Generated Node #3: [109, 25] from Operation: 86-61=25
Current State: 84:[109, 25], Operations: ['35+74=109', '86-61=25']
Exploring Operation: 109-25=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[35, 74, 61, 86], Operations: []
Exploring Operation: 61-35=26, Resulting Numbers: [74, 86, 26]
Generated Node #0,0: 84:[74, 86, 26] Operation: 61-35=26
Exploring Operation: 74-61=13, Resulting Numbers: [35, 86, 13]
Generated Node #0,1: 84:[35, 86, 13] Operation: 74-61=13
Exploring Operation: 74-35=39, Resulting Numbers: [61, 86, 39]
Generated Node #0,2: 84:[61, 86, 39] Operation: 74-35=39
Exploring Operation: 86-61=25, Resulting Numbers: [35, 74, 25]
Generated Node #0,3: 84:[35, 74, 25] Operation: 86-61=25
Moving to Node #0,1
Current State: 84:[35, 86, 13], Operations: ['74-61=13']
Exploring Operation: 86-35=51, Resulting Numbers: [13, 51]
Generated Node #0,1,0: 84:[13, 51] Operation: 86-35=51
Exploring Operation: 35+13=48, Resulting Numbers: [86, 48]
Generated Node #0,1,1: 84:[86, 48] Operation: 35+13=48
Exploring Operation: 86-13=73, Resulting Numbers: [35, 73]
Generated Node #0,1,2: 84:[35, 73] Operation: 86-13=73
Exploring Operation: 35-13=22, Resulting Numbers: [86, 22]
Generated Node #0,1,3: 84:[86, 22] Operation: 35-13=22
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 84:[86, 22], Operations: ['74-61=13', '35-13=22']
Exploring Operation: 86*22=1892, Resulting Numbers: [1892]
1892,84 unequal: No Solution
Exploring Operation: 86-22=64, Resulting Numbers: [64]
64,84 unequal: No Solution
Exploring Operation: 86+22=108, Resulting Numbers: [108]
108,84 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 #0,1,1
Current State: 84:[86, 48], Operations: ['74-61=13', '35+13=48']
Exploring Operation: 86+48=134, Resulting Numbers: [134]
134,84 unequal: No Solution
Exploring Operation: 86-48=38, Resulting Numbers: [38]
38,84 unequal: No Solution
Exploring Operation: 86*48=4128, Resulting Numbers: [4128]
4128,84 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 #0,1,0
Current State: 84:[13, 51], Operations: ['74-61=13', '86-35=51']
Exploring Operation: 13*51=663, Resulting Numbers: [663]
663,84 unequal: No Solution
Exploring Operation: 13+51=64, Resulting Numbers: [64]
64,84 unequal: No Solution
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,84 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 #0,1,2
Current State: 84:[35, 73], Operations: ['74-61=13', '86-13=73']
Exploring Operation: 35*73=2555, Resulting Numbers: [2555]
2555,84 unequal: No Solution
Exploring Operation: 73-35=38, Resulting Numbers: [38]
38,84 unequal: No Solution
Exploring Operation: 35+73=108, Resulting Numbers: [108]
108,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 84:[74, 86, 26], Operations: ['61-35=26']
Exploring Operation: 86-74=12, Resulting Numbers: [26, 12]
Generated Node #0,0,0: 84:[26, 12] Operation: 86-74=12
Exploring Operation: 74+26=100, Resulting Numbers: [86, 100]
Generated Node #0,0,1: 84:[86, 100] Operation: 74+26=100
Exploring Operation: 74-26=48, Resulting Numbers: [86, 48]
Generated Node #0,0,2: 84:[86, 48] Operation: 74-26=48
Exploring Operation: 86-26=60, Resulting Numbers: [74, 60]
Generated Node #0,0,3: 84:[74, 60] Operation: 86-26=60
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 84:[26, 12], Operations: ['61-35=26', '86-74=12']
Exploring Operation: 26*12=312, Resulting Numbers: [312]
312,84 unequal: No Solution
Exploring Operation: 26+12=38, Resulting Numbers: [38]
38,84 unequal: No Solution
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 84:[86, 48], Operations: ['61-35=26', '74-26=48']
Exploring Operation: 86+48=134, Resulting Numbers: [134]
134,84 unequal: No Solution
Exploring Operation: 86-48=38, Resulting Numbers: [38]
38,84 unequal: No Solution
Exploring Operation: 86*48=4128, Resulting Numbers: [4128]
4128,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 84:[86, 100], Operations: ['61-35=26', '74+26=100']
Exploring Operation: 86*100=8600, Resulting Numbers: [8600]
8600,84 unequal: No Solution
Exploring Operation: 100-86=14, Resulting Numbers: [14]
14,84 unequal: No Solution
Exploring Operation: 86+100=186, Resulting Numbers: [186]
186,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 84:[74, 60], Operations: ['61-35=26', '86-26=60']
Exploring Operation: 74-60=14, Resulting Numbers: [14]
14,84 unequal: No Solution
Exploring Operation: 74*60=4440, Resulting Numbers: [4440]
4440,84 unequal: No Solution
Exploring Operation: 74+60=134, Resulting Numbers: [134]
134,84 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: 84:[35, 74, 25], Operations: ['86-61=25']
Exploring Operation: 35-25=10, Resulting Numbers: [74, 10]
Generated Node #0,3,0: 84:[74, 10] Operation: 35-25=10
Exploring Operation: 74+25=99, Resulting Numbers: [35, 99]
Generated Node #0,3,1: 84:[35, 99] Operation: 74+25=99
Exploring Operation: 74-35=39, Resulting Numbers: [25, 39]
Generated Node #0,3,2: 84:[25, 39] Operation: 74-35=39
Exploring Operation: 74-25=49, Resulting Numbers: [35, 49]
Generated Node #0,3,3: 84:[35, 49] Operation: 74-25=49
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 84:[25, 39], Operations: ['86-61=25', '74-35=39']
Exploring Operation: 39-25=14, Resulting Numbers: [14]
14,84 unequal: No Solution
Exploring Operation: 25*39=975, Resulting Numbers: [975]
975,84 unequal: No Solution
Exploring Operation: 25+39=64, Resulting Numbers: [64]
64,84 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 #0,3,0
Current State: 84:[74, 10], Operations: ['86-61=25', '35-25=10']
Exploring Operation: 74-10=64, Resulting Numbers: [64]
64,84 unequal: No Solution
Exploring Operation: 74*10=740, Resulting Numbers: [740]
740,84 unequal: No Solution
Exploring Operation: 74+10=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[35, 74, 61, 86], Operations: []
Exploring Operation: 86-61=25, Resulting Numbers: [35, 74, 25]
Generated Node #0,3: 84:[35, 74, 25] Operation: 86-61=25
Moving to Node #0,3
Current State: 84:[35, 74, 25], Operations: ['86-61=25']
Exploring Operation: 35-25=10, Resulting Numbers: [74, 10]
Generated Node #0,3,0: 84:[74, 10] Operation: 35-25=10
Moving to Node #0,3,0
Current State: 84:[74, 10], Operations: ['86-61=25', '35-25=10']
Exploring Operation: 74+10=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.956597 | hs_4 | sum_heuristic |
[
2,
19,
41,
23
] | 97 | [
"19+41=60",
"2*60=120",
"120-23=97"
] | Current State: 97:[2, 19, 41, 23], Operations: []
Exploring Operation: 19+41=60, Resulting Numbers: [2, 23, 60]
Generated Node #2: [2, 23, 60] from Operation: 19+41=60
Current State: 97:[2, 23, 60], Operations: ['19+41=60']
Exploring Operation: 2*60=120, Resulting Numbers: [23, 120]
Generated Node #3: [23, 120] from Operation: 2*60=120
Current State: 97:[23, 120], Operations: ['19+41=60', '2*60=120']
Exploring Operation: 120-23=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[2, 19, 41, 23], Operations: []
Exploring Operation: 2*23=46, Resulting Numbers: [19, 41, 46]
Generated Node #0,0: 97:[19, 41, 46] Operation: 2*23=46
Exploring Operation: 2+19=21, Resulting Numbers: [41, 23, 21]
Generated Node #0,1: 97:[41, 23, 21] Operation: 2+19=21
Exploring Operation: 2*19=38, Resulting Numbers: [41, 23, 38]
Generated Node #0,2: 97:[41, 23, 38] Operation: 2*19=38
Exploring Operation: 2+41=43, Resulting Numbers: [19, 23, 43]
Generated Node #0,3: 97:[19, 23, 43] Operation: 2+41=43
Exploring Operation: 2*41=82, Resulting Numbers: [19, 23, 82]
Generated Node #0,4: 97:[19, 23, 82] Operation: 2*41=82
Moving to Node #0,4
Current State: 97:[19, 23, 82], Operations: ['2*41=82']
Exploring Operation: 19+82=101, Resulting Numbers: [23, 101]
Generated Node #0,4,0: 97:[23, 101] Operation: 19+82=101
Exploring Operation: 19+23=42, Resulting Numbers: [82, 42]
Generated Node #0,4,1: 97:[82, 42] Operation: 19+23=42
Exploring Operation: 23-19=4, Resulting Numbers: [82, 4]
Generated Node #0,4,2: 97:[82, 4] Operation: 23-19=4
Exploring Operation: 82-19=63, Resulting Numbers: [23, 63]
Generated Node #0,4,3: 97:[23, 63] Operation: 82-19=63
Exploring Operation: 23+82=105, Resulting Numbers: [19, 105]
Generated Node #0,4,4: 97:[19, 105] Operation: 23+82=105
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 97:[82, 42], Operations: ['2*41=82', '19+23=42']
Exploring Operation: 82-42=40, Resulting Numbers: [40]
40,97 unequal: No Solution
Exploring Operation: 82+42=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Exploring Operation: 82*42=3444, Resulting Numbers: [3444]
3444,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 97:[23, 101], Operations: ['2*41=82', '19+82=101']
Exploring Operation: 23*101=2323, Resulting Numbers: [2323]
2323,97 unequal: No Solution
Exploring Operation: 23+101=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Exploring Operation: 101-23=78, Resulting Numbers: [78]
78,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 97:[19, 105], Operations: ['2*41=82', '23+82=105']
Exploring Operation: 105-19=86, Resulting Numbers: [86]
86,97 unequal: No Solution
Exploring Operation: 19+105=124, Resulting Numbers: [124]
124,97 unequal: No Solution
Exploring Operation: 19*105=1995, Resulting Numbers: [1995]
1995,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 97:[82, 4], Operations: ['2*41=82', '23-19=4']
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,97 unequal: No Solution
Exploring Operation: 82+4=86, Resulting Numbers: [86]
86,97 unequal: No Solution
Exploring Operation: 82*4=328, Resulting Numbers: [328]
328,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 97:[23, 63], Operations: ['2*41=82', '82-19=63']
Exploring Operation: 23+63=86, Resulting Numbers: [86]
86,97 unequal: No Solution
Exploring Operation: 63-23=40, Resulting Numbers: [40]
40,97 unequal: No Solution
Exploring Operation: 23*63=1449, Resulting Numbers: [1449]
1449,97 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: 97:[19, 41, 46], Operations: ['2*23=46']
Exploring Operation: 19+41=60, Resulting Numbers: [46, 60]
Generated Node #0,0,0: 97:[46, 60] Operation: 19+41=60
Exploring Operation: 41+46=87, Resulting Numbers: [19, 87]
Generated Node #0,0,1: 97:[19, 87] Operation: 41+46=87
Exploring Operation: 41-19=22, Resulting Numbers: [46, 22]
Generated Node #0,0,2: 97:[46, 22] Operation: 41-19=22
Exploring Operation: 19+46=65, Resulting Numbers: [41, 65]
Generated Node #0,0,3: 97:[41, 65] Operation: 19+46=65
Exploring Operation: 46-19=27, Resulting Numbers: [41, 27]
Generated Node #0,0,4: 97:[41, 27] Operation: 46-19=27
Moving to Node #0,2
Current State: 97:[41, 23, 38], Operations: ['2*19=38']
Exploring Operation: 23+38=61, Resulting Numbers: [41, 61]
Generated Node #0,2,0: 97:[41, 61] Operation: 23+38=61
Exploring Operation: 41-23=18, Resulting Numbers: [38, 18]
Generated Node #0,2,1: 97:[38, 18] Operation: 41-23=18
Exploring Operation: 41+38=79, Resulting Numbers: [23, 79]
Generated Node #0,2,2: 97:[23, 79] Operation: 41+38=79
Exploring Operation: 38-23=15, Resulting Numbers: [41, 15]
Generated Node #0,2,3: 97:[41, 15] Operation: 38-23=15
Exploring Operation: 41+23=64, Resulting Numbers: [38, 64]
Generated Node #0,2,4: 97:[38, 64] Operation: 41+23=64
Moving to Node #0,1
Current State: 97:[41, 23, 21], Operations: ['2+19=21']
Exploring Operation: 41+21=62, Resulting Numbers: [23, 62]
Generated Node #0,1,0: 97:[23, 62] Operation: 41+21=62
Exploring Operation: 41+23=64, Resulting Numbers: [21, 64]
Generated Node #0,1,1: 97:[21, 64] Operation: 41+23=64
Exploring Operation: 23+21=44, Resulting Numbers: [41, 44]
Generated Node #0,1,2: 97:[41, 44] Operation: 23+21=44
Exploring Operation: 41-21=20, Resulting Numbers: [23, 20]
Generated Node #0,1,3: 97:[23, 20] Operation: 41-21=20
Exploring Operation: 23-21=2, Resulting Numbers: [41, 2]
Generated Node #0,1,4: 97:[41, 2] Operation: 23-21=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 97:[23, 62], Operations: ['2+19=21', '41+21=62']
Exploring Operation: 23*62=1426, Resulting Numbers: [1426]
1426,97 unequal: No Solution
Exploring Operation: 23+62=85, Resulting Numbers: [85]
85,97 unequal: No Solution
Exploring Operation: 62-23=39, Resulting Numbers: [39]
39,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 97:[21, 64], Operations: ['2+19=21', '41+23=64']
Exploring Operation: 21+64=85, Resulting Numbers: [85]
85,97 unequal: No Solution
Exploring Operation: 21*64=1344, Resulting Numbers: [1344]
1344,97 unequal: No Solution
Exploring Operation: 64-21=43, Resulting Numbers: [43]
43,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 97:[41, 44], Operations: ['2+19=21', '23+21=44']
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,97 unequal: No Solution
Exploring Operation: 41+44=85, Resulting Numbers: [85]
85,97 unequal: No Solution
Exploring Operation: 41*44=1804, Resulting Numbers: [1804]
1804,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 97:[23, 20], Operations: ['2+19=21', '41-21=20']
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,97 unequal: No Solution
Exploring Operation: 23*20=460, Resulting Numbers: [460]
460,97 unequal: No Solution
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 97:[41, 2], Operations: ['2+19=21', '23-21=2']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,97 unequal: No Solution
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,97 unequal: No Solution
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,97 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: 97:[19, 23, 43], Operations: ['2+41=43']
Exploring Operation: 23-19=4, Resulting Numbers: [43, 4]
Generated Node #0,3,0: 97:[43, 4] Operation: 23-19=4
Exploring Operation: 43-19=24, Resulting Numbers: [23, 24]
Generated Node #0,3,1: 97:[23, 24] Operation: 43-19=24
Exploring Operation: 23+43=66, Resulting Numbers: [19, 66]
Generated Node #0,3,2: 97:[19, 66] Operation: 23+43=66
Exploring Operation: 19+23=42, Resulting Numbers: [43, 42]
Generated Node #0,3,3: 97:[43, 42] Operation: 19+23=42
Exploring Operation: 19+43=62, Resulting Numbers: [23, 62]
Generated Node #0,3,4: 97:[23, 62] Operation: 19+43=62
Moving to Node #0,0,0
Current State: 97:[46, 60], Operations: ['2*23=46', '19+41=60']
Exploring Operation: 46+60=106, Resulting Numbers: [106]
106,97 unequal: No Solution
Exploring Operation: 60-46=14, Resulting Numbers: [14]
14,97 unequal: No Solution
Exploring Operation: 46*60=2760, Resulting Numbers: [2760]
2760,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[41, 65], Operations: ['2*23=46', '19+46=65']
Exploring Operation: 41*65=2665, Resulting Numbers: [2665]
2665,97 unequal: No Solution
Exploring Operation: 41+65=106, Resulting Numbers: [106]
106,97 unequal: No Solution
Exploring Operation: 65-41=24, Resulting Numbers: [24]
24,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[19, 87], Operations: ['2*23=46', '41+46=87']
Exploring Operation: 87-19=68, Resulting Numbers: [68]
68,97 unequal: No Solution
Exploring Operation: 19+87=106, Resulting Numbers: [106]
106,97 unequal: No Solution
Exploring Operation: 19*87=1653, Resulting Numbers: [1653]
1653,97 unequal: No Solution
Moving to Node #0,2,2
Current State: 97:[23, 79], Operations: ['2*19=38', '41+38=79']
Exploring Operation: 79-23=56, Resulting Numbers: [56]
56,97 unequal: No Solution
Exploring Operation: 23+79=102, Resulting Numbers: [102]
102,97 unequal: No Solution
Exploring Operation: 23*79=1817, Resulting Numbers: [1817]
1817,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[41, 61], Operations: ['2*19=38', '23+38=61']
Exploring Operation: 61-41=20, Resulting Numbers: [20]
20,97 unequal: No Solution
Exploring Operation: 41+61=102, Resulting Numbers: [102]
102,97 unequal: No Solution
Exploring Operation: 41*61=2501, Resulting Numbers: [2501]
2501,97 unequal: No Solution
Moving to Node #0,2,4
Current State: 97:[38, 64], Operations: ['2*19=38', '41+23=64']
Exploring Operation: 38+64=102, Resulting Numbers: [102]
102,97 unequal: No Solution
Exploring Operation: 38*64=2432, Resulting Numbers: [2432]
2432,97 unequal: No Solution
Exploring Operation: 64-38=26, Resulting Numbers: [26]
26,97 unequal: No Solution
Moving to Node #0,3,3
Current State: 97:[43, 42], Operations: ['2+41=43', '19+23=42']
Exploring Operation: 43-42=1, Resulting Numbers: [1]
1,97 unequal: No Solution
Exploring Operation: 43+42=85, Resulting Numbers: [85]
85,97 unequal: No Solution
Exploring Operation: 43*42=1806, Resulting Numbers: [1806]
1806,97 unequal: No Solution
Moving to Node #0,3,4
Current State: 97:[23, 62], Operations: ['2+41=43', '19+43=62']
Exploring Operation: 62-23=39, Resulting Numbers: [39]
39,97 unequal: No Solution
Exploring Operation: 23+62=85, Resulting Numbers: [85]
85,97 unequal: No Solution
Exploring Operation: 23*62=1426, Resulting Numbers: [1426]
1426,97 unequal: No Solution
Moving to Node #0,3,2
Current State: 97:[19, 66], Operations: ['2+41=43', '23+43=66']
Exploring Operation: 66-19=47, Resulting Numbers: [47]
47,97 unequal: No Solution
Exploring Operation: 19*66=1254, Resulting Numbers: [1254]
1254,97 unequal: No Solution
Exploring Operation: 19+66=85, Resulting Numbers: [85]
85,97 unequal: No Solution
Moving to Node #0,0,4
Current State: 97:[41, 27], Operations: ['2*23=46', '46-19=27']
Exploring Operation: 41*27=1107, Resulting Numbers: [1107]
1107,97 unequal: No Solution
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,97 unequal: No Solution
Exploring Operation: 41+27=68, Resulting Numbers: [68]
68,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[46, 22], Operations: ['2*23=46', '41-19=22']
Exploring Operation: 46*22=1012, Resulting Numbers: [1012]
1012,97 unequal: No Solution
Exploring Operation: 46+22=68, Resulting Numbers: [68]
68,97 unequal: No Solution
Exploring Operation: 46-22=24, Resulting Numbers: [24]
24,97 unequal: No Solution
Moving to Node #0,2,3
Current State: 97:[41, 15], Operations: ['2*19=38', '38-23=15']
Exploring Operation: 41+15=56, Resulting Numbers: [56]
56,97 unequal: No Solution
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,97 unequal: No Solution
Exploring Operation: 41*15=615, Resulting Numbers: [615]
615,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[38, 18], Operations: ['2*19=38', '41-23=18']
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,97 unequal: No Solution
Exploring Operation: 38+18=56, Resulting Numbers: [56]
56,97 unequal: No Solution
Exploring Operation: 38*18=684, Resulting Numbers: [684]
684,97 unequal: No Solution
Moving to Node #0,3,0
Current State: 97:[43, 4], Operations: ['2+41=43', '23-19=4']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,97 unequal: No Solution
Exploring Operation: 43*4=172, Resulting Numbers: [172]
172,97 unequal: No Solution
Exploring Operation: 43+4=47, Resulting Numbers: [47]
47,97 unequal: No Solution
Moving to Node #0,3,1
Current State: 97:[23, 24], Operations: ['2+41=43', '43-19=24']
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,97 unequal: No Solution
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,97 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,97 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
41,
6,
76,
97
] | 73 | [
"41*6=246",
"76+97=173",
"246-173=73"
] | Current State: 73:[41, 6, 76, 97], Operations: []
Exploring Operation: 41*6=246, Resulting Numbers: [76, 97, 246]
Generated Node #2: [76, 97, 246] from Operation: 41*6=246
Current State: 73:[76, 97, 246], Operations: ['41*6=246']
Exploring Operation: 76+97=173, Resulting Numbers: [246, 173]
Generated Node #3: [246, 173] from Operation: 76+97=173
Current State: 73:[246, 173], Operations: ['41*6=246', '76+97=173']
Exploring Operation: 246-173=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[41, 6, 76, 97], Operations: []
Exploring Operation: 97-6=91, Resulting Numbers: [41, 76, 91]
Generated Node #0,0: 73:[41, 76, 91] Operation: 97-6=91
Exploring Operation: 6+76=82, Resulting Numbers: [41, 97, 82]
Generated Node #0,1: 73:[41, 97, 82] Operation: 6+76=82
Exploring Operation: 76-6=70, Resulting Numbers: [41, 97, 70]
Generated Node #0,2: 73:[41, 97, 70] Operation: 76-6=70
Exploring Operation: 41-6=35, Resulting Numbers: [76, 97, 35]
Generated Node #0,3: 73:[76, 97, 35] Operation: 41-6=35
Exploring Operation: 41+6=47, Resulting Numbers: [76, 97, 47]
Generated Node #0,4: 73:[76, 97, 47] Operation: 41+6=47
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[41, 76, 91], Operations: ['97-6=91']
Exploring Operation: 91-76=15, Resulting Numbers: [41, 15]
Generated Node #0,0,0: 73:[41, 15] Operation: 91-76=15
Exploring Operation: 76-41=35, Resulting Numbers: [91, 35]
Generated Node #0,0,1: 73:[91, 35] Operation: 76-41=35
Exploring Operation: 91-41=50, Resulting Numbers: [76, 50]
Generated Node #0,0,2: 73:[76, 50] Operation: 91-41=50
Exploring Operation: 41+76=117, Resulting Numbers: [91, 117]
Generated Node #0,0,3: 73:[91, 117] Operation: 41+76=117
Exploring Operation: 41+91=132, Resulting Numbers: [76, 132]
Generated Node #0,0,4: 73:[76, 132] Operation: 41+91=132
Moving to Node #0,0,2
Current State: 73:[76, 50], Operations: ['97-6=91', '91-41=50']
Exploring Operation: 76+50=126, Resulting Numbers: [126]
126,73 unequal: No Solution
Exploring Operation: 76*50=3800, Resulting Numbers: [3800]
3800,73 unequal: No Solution
Exploring Operation: 76-50=26, Resulting Numbers: [26]
26,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[91, 35], Operations: ['97-6=91', '76-41=35']
Exploring Operation: 91*35=3185, Resulting Numbers: [3185]
3185,73 unequal: No Solution
Exploring Operation: 91+35=126, Resulting Numbers: [126]
126,73 unequal: No Solution
Exploring Operation: 91-35=56, Resulting Numbers: [56]
56,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[91, 117], Operations: ['97-6=91', '41+76=117']
Exploring Operation: 91+117=208, Resulting Numbers: [208]
208,73 unequal: No Solution
Exploring Operation: 117-91=26, Resulting Numbers: [26]
26,73 unequal: No Solution
Exploring Operation: 91*117=10647, Resulting Numbers: [10647]
10647,73 unequal: No Solution
Moving to Node #0,0,4
Current State: 73:[76, 132], Operations: ['97-6=91', '41+91=132']
Exploring Operation: 76+132=208, Resulting Numbers: [208]
208,73 unequal: No Solution
Exploring Operation: 132-76=56, Resulting Numbers: [56]
56,73 unequal: No Solution
Exploring Operation: 76*132=10032, Resulting Numbers: [10032]
10032,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[41, 15], Operations: ['97-6=91', '91-76=15']
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,73 unequal: No Solution
Exploring Operation: 41+15=56, Resulting Numbers: [56]
56,73 unequal: No Solution
Exploring Operation: 41*15=615, Resulting Numbers: [615]
615,73 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 #0,4
Current State: 73:[76, 97, 47], Operations: ['41+6=47']
Exploring Operation: 76-47=29, Resulting Numbers: [97, 29]
Generated Node #0,4,0: 73:[97, 29] Operation: 76-47=29
Exploring Operation: 97+47=144, Resulting Numbers: [76, 144]
Generated Node #0,4,1: 73:[76, 144] Operation: 97+47=144
Exploring Operation: 97-76=21, Resulting Numbers: [47, 21]
Generated Node #0,4,2: 73:[47, 21] Operation: 97-76=21
Exploring Operation: 76+47=123, Resulting Numbers: [97, 123]
Generated Node #0,4,3: 73:[97, 123] Operation: 76+47=123
Exploring Operation: 97-47=50, Resulting Numbers: [76, 50]
Generated Node #0,4,4: 73:[76, 50] Operation: 97-47=50
Moving to Node #0,4,4
Current State: 73:[76, 50], Operations: ['41+6=47', '97-47=50']
Exploring Operation: 76*50=3800, Resulting Numbers: [3800]
3800,73 unequal: No Solution
Exploring Operation: 76-50=26, Resulting Numbers: [26]
26,73 unequal: No Solution
Exploring Operation: 76+50=126, Resulting Numbers: [126]
126,73 unequal: No Solution
Moving to Node #0,4,0
Current State: 73:[97, 29], Operations: ['41+6=47', '76-47=29']
Exploring Operation: 97+29=126, Resulting Numbers: [126]
126,73 unequal: No Solution
Exploring Operation: 97-29=68, Resulting Numbers: [68]
68,73 unequal: No Solution
Exploring Operation: 97*29=2813, Resulting Numbers: [2813]
2813,73 unequal: No Solution
Moving to Node #0,4,1
Current State: 73:[76, 144], Operations: ['41+6=47', '97+47=144']
Exploring Operation: 76*144=10944, Resulting Numbers: [10944]
10944,73 unequal: No Solution
Exploring Operation: 76+144=220, Resulting Numbers: [220]
220,73 unequal: No Solution
Exploring Operation: 144-76=68, Resulting Numbers: [68]
68,73 unequal: No Solution
Moving to Node #0,4,3
Current State: 73:[97, 123], Operations: ['41+6=47', '76+47=123']
Exploring Operation: 123-97=26, Resulting Numbers: [26]
26,73 unequal: No Solution
Exploring Operation: 97+123=220, Resulting Numbers: [220]
220,73 unequal: No Solution
Exploring Operation: 97*123=11931, Resulting Numbers: [11931]
11931,73 unequal: No Solution
Moving to Node #0,4,2
Current State: 73:[47, 21], Operations: ['41+6=47', '97-76=21']
Exploring Operation: 47+21=68, Resulting Numbers: [68]
68,73 unequal: No Solution
Exploring Operation: 47*21=987, Resulting Numbers: [987]
987,73 unequal: No Solution
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,73 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 #0,2
Current State: 73:[41, 97, 70], Operations: ['76-6=70']
Exploring Operation: 97-70=27, Resulting Numbers: [41, 27]
Generated Node #0,2,0: 73:[41, 27] Operation: 97-70=27
Exploring Operation: 41+70=111, Resulting Numbers: [97, 111]
Generated Node #0,2,1: 73:[97, 111] Operation: 41+70=111
Exploring Operation: 70-41=29, Resulting Numbers: [97, 29]
Generated Node #0,2,2: 73:[97, 29] Operation: 70-41=29
Exploring Operation: 41+97=138, Resulting Numbers: [70, 138]
Generated Node #0,2,3: 73:[70, 138] Operation: 41+97=138
Exploring Operation: 97-41=56, Resulting Numbers: [70, 56]
Generated Node #0,2,4: 73:[70, 56] Operation: 97-41=56
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 73:[70, 56], Operations: ['76-6=70', '97-41=56']
Exploring Operation: 70-56=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 70*56=3920, Resulting Numbers: [3920]
3920,73 unequal: No Solution
Exploring Operation: 70+56=126, Resulting Numbers: [126]
126,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 73:[97, 111], Operations: ['76-6=70', '41+70=111']
Exploring Operation: 97*111=10767, Resulting Numbers: [10767]
10767,73 unequal: No Solution
Exploring Operation: 111-97=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 97+111=208, Resulting Numbers: [208]
208,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 73:[97, 29], Operations: ['76-6=70', '70-41=29']
Exploring Operation: 97+29=126, Resulting Numbers: [126]
126,73 unequal: No Solution
Exploring Operation: 97*29=2813, Resulting Numbers: [2813]
2813,73 unequal: No Solution
Exploring Operation: 97-29=68, Resulting Numbers: [68]
68,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 73:[70, 138], Operations: ['76-6=70', '41+97=138']
Exploring Operation: 138-70=68, Resulting Numbers: [68]
68,73 unequal: No Solution
Exploring Operation: 70*138=9660, Resulting Numbers: [9660]
9660,73 unequal: No Solution
Exploring Operation: 70+138=208, Resulting Numbers: [208]
208,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 73:[41, 27], Operations: ['76-6=70', '97-70=27']
Exploring Operation: 41+27=68, Resulting Numbers: [68]
68,73 unequal: No Solution
Exploring Operation: 41*27=1107, Resulting Numbers: [1107]
1107,73 unequal: No Solution
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[41, 97, 82], Operations: ['6+76=82']
Exploring Operation: 41+97=138, Resulting Numbers: [82, 138]
Generated Node #0,1,0: 73:[82, 138] Operation: 41+97=138
Exploring Operation: 97-82=15, Resulting Numbers: [41, 15]
Generated Node #0,1,1: 73:[41, 15] Operation: 97-82=15
Exploring Operation: 97-41=56, Resulting Numbers: [82, 56]
Generated Node #0,1,2: 73:[82, 56] Operation: 97-41=56
Exploring Operation: 82-41=41, Resulting Numbers: [97, 41]
Generated Node #0,1,3: 73:[97, 41] Operation: 82-41=41
Exploring Operation: 41+82=123, Resulting Numbers: [97, 123]
Generated Node #0,1,4: 73:[97, 123] Operation: 41+82=123
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 73:[82, 56], Operations: ['6+76=82', '97-41=56']
Exploring Operation: 82-56=26, Resulting Numbers: [26]
26,73 unequal: No Solution
Exploring Operation: 82+56=138, Resulting Numbers: [138]
138,73 unequal: No Solution
Exploring Operation: 82*56=4592, Resulting Numbers: [4592]
4592,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 73:[97, 41], Operations: ['6+76=82', '82-41=41']
Exploring Operation: 97+41=138, Resulting Numbers: [138]
138,73 unequal: No Solution
Exploring Operation: 97*41=3977, Resulting Numbers: [3977]
3977,73 unequal: No Solution
Exploring Operation: 97-41=56, Resulting Numbers: [56]
56,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 73:[82, 138], Operations: ['6+76=82', '41+97=138']
Exploring Operation: 138-82=56, Resulting Numbers: [56]
56,73 unequal: No Solution
Exploring Operation: 82+138=220, Resulting Numbers: [220]
220,73 unequal: No Solution
Exploring Operation: 82*138=11316, Resulting Numbers: [11316]
11316,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 73:[97, 123], Operations: ['6+76=82', '41+82=123']
Exploring Operation: 123-97=26, Resulting Numbers: [26]
26,73 unequal: No Solution
Exploring Operation: 97+123=220, Resulting Numbers: [220]
220,73 unequal: No Solution
Exploring Operation: 97*123=11931, Resulting Numbers: [11931]
11931,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 73:[41, 15], Operations: ['6+76=82', '97-82=15']
Exploring Operation: 41-15=26, Resulting Numbers: [26]
26,73 unequal: No Solution
Exploring Operation: 41*15=615, Resulting Numbers: [615]
615,73 unequal: No Solution
Exploring Operation: 41+15=56, Resulting Numbers: [56]
56,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 73:[76, 97, 35], Operations: ['41-6=35']
Exploring Operation: 76+35=111, Resulting Numbers: [97, 111]
Generated Node #0,3,0: 73:[97, 111] Operation: 76+35=111
Exploring Operation: 76-35=41, Resulting Numbers: [97, 41]
Generated Node #0,3,1: 73:[97, 41] Operation: 76-35=41
Exploring Operation: 97-35=62, Resulting Numbers: [76, 62]
Generated Node #0,3,2: 73:[76, 62] Operation: 97-35=62
Exploring Operation: 97+35=132, Resulting Numbers: [76, 132]
Generated Node #0,3,3: 73:[76, 132] Operation: 97+35=132
Exploring Operation: 97-76=21, Resulting Numbers: [35, 21]
Generated Node #0,3,4: 73:[35, 21] Operation: 97-76=21
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 73:[76, 62], Operations: ['41-6=35', '97-35=62']
Exploring Operation: 76+62=138, Resulting Numbers: [138]
138,73 unequal: No Solution
Exploring Operation: 76-62=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 76*62=4712, Resulting Numbers: [4712]
4712,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 73:[97, 41], Operations: ['41-6=35', '76-35=41']
Exploring Operation: 97*41=3977, Resulting Numbers: [3977]
3977,73 unequal: No Solution
Exploring Operation: 97+41=138, Resulting Numbers: [138]
138,73 unequal: No Solution
Exploring Operation: 97-41=56, Resulting Numbers: [56]
56,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 73:[97, 111], Operations: ['41-6=35', '76+35=111']
Exploring Operation: 111-97=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 97*111=10767, Resulting Numbers: [10767]
10767,73 unequal: No Solution
Exploring Operation: 97+111=208, Resulting Numbers: [208]
208,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 73:[76, 132], Operations: ['41-6=35', '97+35=132']
Exploring Operation: 76*132=10032, Resulting Numbers: [10032]
10032,73 unequal: No Solution
Exploring Operation: 76+132=208, Resulting Numbers: [208]
208,73 unequal: No Solution
Exploring Operation: 132-76=56, Resulting Numbers: [56]
56,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 73:[35, 21], Operations: ['41-6=35', '97-76=21']
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 35+21=56, Resulting Numbers: [56]
56,73 unequal: No Solution
Exploring Operation: 35*21=735, Resulting Numbers: [735]
735,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
43,
35,
42,
27
] | 93 | [
"43+35=78",
"42-27=15",
"78+15=93"
] | Current State: 93:[43, 35, 42, 27], Operations: []
Exploring Operation: 43+35=78, Resulting Numbers: [42, 27, 78]
Generated Node #2: [42, 27, 78] from Operation: 43+35=78
Current State: 93:[42, 27, 78], Operations: ['43+35=78']
Exploring Operation: 42-27=15, Resulting Numbers: [78, 15]
Generated Node #3: [78, 15] from Operation: 42-27=15
Current State: 93:[78, 15], Operations: ['43+35=78', '42-27=15']
Exploring Operation: 78+15=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[43, 35, 42, 27], Operations: []
Exploring Operation: 43-42=1, Resulting Numbers: [35, 27, 1]
Generated Node #0,0: 93:[35, 27, 1] Operation: 43-42=1
Moving to Node #0,0
Current State: 93:[35, 27, 1], Operations: ['43-42=1']
Exploring Operation: 35-27=8, Resulting Numbers: [1, 8]
Generated Node #0,0,0: 93:[1, 8] Operation: 35-27=8
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[1, 8], Operations: ['43-42=1', '35-27=8']
Exploring Operation: 8-1=7, Resulting Numbers: [7]
7,93 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 |
[
21,
87,
46,
23
] | 68 | [
"87-21=66",
"46/23=2",
"66+2=68"
] | Current State: 68:[21, 87, 46, 23], Operations: []
Exploring Operation: 87-21=66, Resulting Numbers: [46, 23, 66]
Generated Node #2: [46, 23, 66] from Operation: 87-21=66
Current State: 68:[46, 23, 66], Operations: ['87-21=66']
Exploring Operation: 46/23=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 46/23=2
Current State: 68:[66, 2], Operations: ['87-21=66', '46/23=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[21, 87, 46, 23], Operations: []
Exploring Operation: 87-46=41, Resulting Numbers: [21, 23, 41]
Generated Node #0,0: 68:[21, 23, 41] Operation: 87-46=41
Exploring Operation: 87-21=66, Resulting Numbers: [46, 23, 66]
Generated Node #0,1: 68:[46, 23, 66] Operation: 87-21=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[21, 23, 41], Operations: ['87-46=41']
Exploring Operation: 23-21=2, Resulting Numbers: [41, 2]
Generated Node #0,0,0: 68:[41, 2] Operation: 23-21=2
Exploring Operation: 41-23=18, Resulting Numbers: [21, 18]
Generated Node #0,0,1: 68:[21, 18] Operation: 41-23=18
Moving to Node #0,0,1
Current State: 68:[21, 18], Operations: ['87-46=41', '41-23=18']
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,68 unequal: No Solution
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,68 unequal: No Solution
Moving to Node #0,0,0
Current State: 68:[41, 2], Operations: ['87-46=41', '23-21=2']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,68 unequal: No Solution
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,68 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
Current State: 68:[46, 23, 66], Operations: ['87-21=66']
Exploring Operation: 46+23=69, Resulting Numbers: [66, 69]
Generated Node #0,1,0: 68:[66, 69] Operation: 46+23=69
Exploring Operation: 46/23=2, Resulting Numbers: [66, 2]
Generated Node #0,1,1: 68:[66, 2] Operation: 46/23=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 68:[66, 2], Operations: ['87-21=66', '46/23=2']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,68 unequal: No Solution
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[21, 87, 46, 23], Operations: []
Exploring Operation: 87-21=66, Resulting Numbers: [46, 23, 66]
Generated Node #0,1: 68:[46, 23, 66] Operation: 87-21=66
Moving to Node #0,1
Current State: 68:[46, 23, 66], Operations: ['87-21=66']
Exploring Operation: 46/23=2, Resulting Numbers: [66, 2]
Generated Node #0,1,1: 68:[66, 2] Operation: 46/23=2
Moving to Node #0,1,1
Current State: 68:[66, 2], Operations: ['87-21=66', '46/23=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
4,
66,
87,
15
] | 93 | [
"4*15=60",
"66+87=153",
"153-60=93"
] | Current State: 93:[4, 66, 87, 15], Operations: []
Exploring Operation: 4*15=60, Resulting Numbers: [66, 87, 60]
Generated Node #2: [66, 87, 60] from Operation: 4*15=60
Current State: 93:[66, 87, 60], Operations: ['4*15=60']
Exploring Operation: 66+87=153, Resulting Numbers: [60, 153]
Generated Node #3: [60, 153] from Operation: 66+87=153
Current State: 93:[60, 153], Operations: ['4*15=60', '66+87=153']
Exploring Operation: 153-60=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[4, 66, 87, 15], Operations: []
Exploring Operation: 66+15=81, Resulting Numbers: [4, 87, 81]
Generated Node #0,0: 93:[4, 87, 81] Operation: 66+15=81
Moving to Node #0,0
Current State: 93:[4, 87, 81], Operations: ['66+15=81']
Exploring Operation: 87-81=6, Resulting Numbers: [4, 6]
Generated Node #0,0,0: 93:[4, 6] Operation: 87-81=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[4, 6], Operations: ['66+15=81', '87-81=6']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,93 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 |
[
50,
33,
63,
59
] | 13 | [
"50-33=17",
"63-59=4",
"17-4=13"
] | Current State: 13:[50, 33, 63, 59], Operations: []
Exploring Operation: 50-33=17, Resulting Numbers: [63, 59, 17]
Generated Node #2: [63, 59, 17] from Operation: 50-33=17
Current State: 13:[63, 59, 17], Operations: ['50-33=17']
Exploring Operation: 63-59=4, Resulting Numbers: [17, 4]
Generated Node #3: [17, 4] from Operation: 63-59=4
Current State: 13:[17, 4], Operations: ['50-33=17', '63-59=4']
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[50, 33, 63, 59], Operations: []
Exploring Operation: 63-50=13, Resulting Numbers: [33, 59, 13]
Generated Node #0,0: 13:[33, 59, 13] Operation: 63-50=13
Exploring Operation: 63-59=4, Resulting Numbers: [50, 33, 4]
Generated Node #0,1: 13:[50, 33, 4] Operation: 63-59=4
Exploring Operation: 50-33=17, Resulting Numbers: [63, 59, 17]
Generated Node #0,2: 13:[63, 59, 17] Operation: 50-33=17
Exploring Operation: 59-50=9, Resulting Numbers: [33, 63, 9]
Generated Node #0,3: 13:[33, 63, 9] Operation: 59-50=9
Moving to Node #0,0
Current State: 13:[33, 59, 13], Operations: ['63-50=13']
Exploring Operation: 59-33=26, Resulting Numbers: [13, 26]
Generated Node #0,0,0: 13:[13, 26] Operation: 59-33=26
Exploring Operation: 33+59=92, Resulting Numbers: [13, 92]
Generated Node #0,0,1: 13:[13, 92] Operation: 33+59=92
Exploring Operation: 33-13=20, Resulting Numbers: [59, 20]
Generated Node #0,0,2: 13:[59, 20] Operation: 33-13=20
Exploring Operation: 59-13=46, Resulting Numbers: [33, 46]
Generated Node #0,0,3: 13:[33, 46] Operation: 59-13=46
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[13, 26], Operations: ['63-50=13', '59-33=26']
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 13*26=338, Resulting Numbers: [338]
338,13 unequal: No Solution
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[50, 33, 63, 59], Operations: []
Exploring Operation: 63-50=13, Resulting Numbers: [33, 59, 13]
Generated Node #0,0: 13:[33, 59, 13] Operation: 63-50=13
Moving to Node #0,0
Current State: 13:[33, 59, 13], Operations: ['63-50=13']
Exploring Operation: 59-33=26, Resulting Numbers: [13, 26]
Generated Node #0,0,0: 13:[13, 26] Operation: 59-33=26
Moving to Node #0,0,0
Current State: 13:[13, 26], Operations: ['63-50=13', '59-33=26']
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
97,
41,
76,
60
] | 72 | [
"97-41=56",
"76-60=16",
"56+16=72"
] | Current State: 72:[97, 41, 76, 60], Operations: []
Exploring Operation: 97-41=56, Resulting Numbers: [76, 60, 56]
Generated Node #2: [76, 60, 56] from Operation: 97-41=56
Current State: 72:[76, 60, 56], Operations: ['97-41=56']
Exploring Operation: 76-60=16, Resulting Numbers: [56, 16]
Generated Node #3: [56, 16] from Operation: 76-60=16
Current State: 72:[56, 16], Operations: ['97-41=56', '76-60=16']
Exploring Operation: 56+16=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[97, 41, 76, 60], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [41, 60, 21]
Generated Node #0,0: 72:[41, 60, 21] Operation: 97-76=21
Exploring Operation: 60-41=19, Resulting Numbers: [97, 76, 19]
Generated Node #0,1: 72:[97, 76, 19] Operation: 60-41=19
Exploring Operation: 97-60=37, Resulting Numbers: [41, 76, 37]
Generated Node #0,2: 72:[41, 76, 37] Operation: 97-60=37
Start Sub Search at level 1: Moving to Node #0,2
Current State: 72:[41, 76, 37], Operations: ['97-60=37']
Exploring Operation: 76-41=35, Resulting Numbers: [37, 35]
Generated Node #0,2,0: 72:[37, 35] Operation: 76-41=35
Exploring Operation: 76-37=39, Resulting Numbers: [41, 39]
Generated Node #0,2,1: 72:[41, 39] Operation: 76-37=39
Exploring Operation: 41-37=4, Resulting Numbers: [76, 4]
Generated Node #0,2,2: 72:[76, 4] Operation: 41-37=4
Moving to Node #0,2,0
Current State: 72:[37, 35], Operations: ['97-60=37', '76-41=35']
Exploring Operation: 37*35=1295, Resulting Numbers: [1295]
1295,72 unequal: No Solution
Exploring Operation: 37+35=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[97, 41, 76, 60], Operations: []
Exploring Operation: 97-60=37, Resulting Numbers: [41, 76, 37]
Generated Node #0,2: 72:[41, 76, 37] Operation: 97-60=37
Moving to Node #0,2
Current State: 72:[41, 76, 37], Operations: ['97-60=37']
Exploring Operation: 76-41=35, Resulting Numbers: [37, 35]
Generated Node #0,2,0: 72:[37, 35] Operation: 76-41=35
Moving to Node #0,2,0
Current State: 72:[37, 35], Operations: ['97-60=37', '76-41=35']
Exploring Operation: 37+35=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
99,
12,
16,
3
] | 90 | [
"99+3=102",
"12*16=192",
"192-102=90"
] | Current State: 90:[99, 12, 16, 3], Operations: []
Exploring Operation: 99+3=102, Resulting Numbers: [12, 16, 102]
Generated Node #2: [12, 16, 102] from Operation: 99+3=102
Current State: 90:[12, 16, 102], Operations: ['99+3=102']
Exploring Operation: 12*16=192, Resulting Numbers: [102, 192]
Generated Node #3: [102, 192] from Operation: 12*16=192
Current State: 90:[102, 192], Operations: ['99+3=102', '12*16=192']
Exploring Operation: 192-102=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[99, 12, 16, 3], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [12, 16, 33]
Generated Node #0,0: 90:[12, 16, 33] Operation: 99/3=33
Exploring Operation: 99-12=87, Resulting Numbers: [16, 3, 87]
Generated Node #0,1: 90:[16, 3, 87] Operation: 99-12=87
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[16, 3, 87], Operations: ['99-12=87']
Exploring Operation: 3+87=90, Resulting Numbers: [16, 90]
Generated Node #0,1,0: 90:[16, 90] Operation: 3+87=90
Exploring Operation: 87/3=29, Resulting Numbers: [16, 29]
Generated Node #0,1,1: 90:[16, 29] Operation: 87/3=29
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 90:[16, 90], Operations: ['99-12=87', '3+87=90']
Exploring Operation: 90-16=74, Resulting Numbers: [74]
74,90 unequal: No Solution
Exploring Operation: 16+90=106, Resulting Numbers: [106]
106,90 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 #0,1,1
Current State: 90:[16, 29], Operations: ['99-12=87', '87/3=29']
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 16+29=45, Resulting Numbers: [45]
45,90 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 #0,0
Current State: 90:[12, 16, 33], Operations: ['99/3=33']
Exploring Operation: 12+33=45, Resulting Numbers: [16, 45]
Generated Node #0,0,0: 90:[16, 45] Operation: 12+33=45
Exploring Operation: 33-16=17, Resulting Numbers: [12, 17]
Generated Node #0,0,1: 90:[12, 17] Operation: 33-16=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[16, 45], Operations: ['99/3=33', '12+33=45']
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,90 unequal: No Solution
Exploring Operation: 16+45=61, Resulting Numbers: [61]
61,90 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:[12, 17], Operations: ['99/3=33', '33-16=17']
Exploring Operation: 12+17=29, Resulting Numbers: [29]
29,90 unequal: No Solution
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
1,
35,
58,
50
] | 28 | [
"1+35=36",
"58-50=8",
"36-8=28"
] | Current State: 28:[1, 35, 58, 50], Operations: []
Exploring Operation: 1+35=36, Resulting Numbers: [58, 50, 36]
Generated Node #2: [58, 50, 36] from Operation: 1+35=36
Current State: 28:[58, 50, 36], Operations: ['1+35=36']
Exploring Operation: 58-50=8, Resulting Numbers: [36, 8]
Generated Node #3: [36, 8] from Operation: 58-50=8
Current State: 28:[36, 8], Operations: ['1+35=36', '58-50=8']
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[1, 35, 58, 50], Operations: []
Exploring Operation: 58-35=23, Resulting Numbers: [1, 50, 23]
Generated Node #0,0: 28:[1, 50, 23] Operation: 58-35=23
Exploring Operation: 35-1=34, Resulting Numbers: [58, 50, 34]
Generated Node #0,1: 28:[58, 50, 34] Operation: 35-1=34
Exploring Operation: 50-35=15, Resulting Numbers: [1, 58, 15]
Generated Node #0,2: 28:[1, 58, 15] Operation: 50-35=15
Exploring Operation: 58-50=8, Resulting Numbers: [1, 35, 8]
Generated Node #0,3: 28:[1, 35, 8] Operation: 58-50=8
Start Sub Search at level 1: Moving to Node #0,3
Current State: 28:[1, 35, 8], Operations: ['58-50=8']
Exploring Operation: 35-8=27, Resulting Numbers: [1, 27]
Generated Node #0,3,0: 28:[1, 27] Operation: 35-8=27
Exploring Operation: 8-1=7, Resulting Numbers: [35, 7]
Generated Node #0,3,1: 28:[35, 7] Operation: 8-1=7
Exploring Operation: 35-1=34, Resulting Numbers: [8, 34]
Generated Node #0,3,2: 28:[8, 34] Operation: 35-1=34
Exploring Operation: 1*35=35, Resulting Numbers: [8, 35]
Generated Node #0,3,3: 28:[8, 35] Operation: 1*35=35
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 28:[1, 27], Operations: ['58-50=8', '35-8=27']
Exploring Operation: 1+27=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[1, 35, 58, 50], Operations: []
Exploring Operation: 58-50=8, Resulting Numbers: [1, 35, 8]
Generated Node #0,3: 28:[1, 35, 8] Operation: 58-50=8
Moving to Node #0,3
Current State: 28:[1, 35, 8], Operations: ['58-50=8']
Exploring Operation: 35-8=27, Resulting Numbers: [1, 27]
Generated Node #0,3,0: 28:[1, 27] Operation: 35-8=27
Moving to Node #0,3,0
Current State: 28:[1, 27], Operations: ['58-50=8', '35-8=27']
Exploring Operation: 1+27=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
87,
45,
79,
24
] | 97 | [
"87-45=42",
"79-24=55",
"42+55=97"
] | Current State: 97:[87, 45, 79, 24], Operations: []
Exploring Operation: 87-45=42, Resulting Numbers: [79, 24, 42]
Generated Node #2: [79, 24, 42] from Operation: 87-45=42
Current State: 97:[79, 24, 42], Operations: ['87-45=42']
Exploring Operation: 79-24=55, Resulting Numbers: [42, 55]
Generated Node #3: [42, 55] from Operation: 79-24=55
Current State: 97:[42, 55], Operations: ['87-45=42', '79-24=55']
Exploring Operation: 42+55=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[87, 45, 79, 24], Operations: []
Exploring Operation: 79+24=103, Resulting Numbers: [87, 45, 103]
Generated Node #0,0: 97:[87, 45, 103] Operation: 79+24=103
Exploring Operation: 45+24=69, Resulting Numbers: [87, 79, 69]
Generated Node #0,1: 97:[87, 79, 69] Operation: 45+24=69
Exploring Operation: 87-24=63, Resulting Numbers: [45, 79, 63]
Generated Node #0,2: 97:[45, 79, 63] Operation: 87-24=63
Exploring Operation: 87+24=111, Resulting Numbers: [45, 79, 111]
Generated Node #0,3: 97:[45, 79, 111] Operation: 87+24=111
Moving to Node #0,1
Current State: 97:[87, 79, 69], Operations: ['45+24=69']
Exploring Operation: 87+79=166, Resulting Numbers: [69, 166]
Generated Node #0,1,0: 97:[69, 166] Operation: 87+79=166
Exploring Operation: 87+69=156, Resulting Numbers: [79, 156]
Generated Node #0,1,1: 97:[79, 156] Operation: 87+69=156
Exploring Operation: 87-69=18, Resulting Numbers: [79, 18]
Generated Node #0,1,2: 97:[79, 18] Operation: 87-69=18
Exploring Operation: 79+69=148, Resulting Numbers: [87, 148]
Generated Node #0,1,3: 97:[87, 148] Operation: 79+69=148
Moving to Node #0,0
Current State: 97:[87, 45, 103], Operations: ['79+24=103']
Exploring Operation: 87+45=132, Resulting Numbers: [103, 132]
Generated Node #0,0,0: 97:[103, 132] Operation: 87+45=132
Exploring Operation: 103-45=58, Resulting Numbers: [87, 58]
Generated Node #0,0,1: 97:[87, 58] Operation: 103-45=58
Exploring Operation: 45+103=148, Resulting Numbers: [87, 148]
Generated Node #0,0,2: 97:[87, 148] Operation: 45+103=148
Exploring Operation: 87-45=42, Resulting Numbers: [103, 42]
Generated Node #0,0,3: 97:[103, 42] Operation: 87-45=42
Moving to Node #0,3
Current State: 97:[45, 79, 111], Operations: ['87+24=111']
Exploring Operation: 45+111=156, Resulting Numbers: [79, 156]
Generated Node #0,3,0: 97:[79, 156] Operation: 45+111=156
Exploring Operation: 45+79=124, Resulting Numbers: [111, 124]
Generated Node #0,3,1: 97:[111, 124] Operation: 45+79=124
Exploring Operation: 79-45=34, Resulting Numbers: [111, 34]
Generated Node #0,3,2: 97:[111, 34] Operation: 79-45=34
Exploring Operation: 111-45=66, Resulting Numbers: [79, 66]
Generated Node #0,3,3: 97:[79, 66] Operation: 111-45=66
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 97:[111, 124], Operations: ['87+24=111', '45+79=124']
Exploring Operation: 124-111=13, Resulting Numbers: [13]
13,97 unequal: No Solution
Exploring Operation: 111+124=235, Resulting Numbers: [235]
235,97 unequal: No Solution
Exploring Operation: 111*124=13764, Resulting Numbers: [13764]
13764,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 97:[79, 66], Operations: ['87+24=111', '111-45=66']
Exploring Operation: 79+66=145, Resulting Numbers: [145]
145,97 unequal: No Solution
Exploring Operation: 79*66=5214, Resulting Numbers: [5214]
5214,97 unequal: No Solution
Exploring Operation: 79-66=13, Resulting Numbers: [13]
13,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 97:[79, 156], Operations: ['87+24=111', '45+111=156']
Exploring Operation: 156-79=77, Resulting Numbers: [77]
77,97 unequal: No Solution
Exploring Operation: 79+156=235, Resulting Numbers: [235]
235,97 unequal: No Solution
Exploring Operation: 79*156=12324, Resulting Numbers: [12324]
12324,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 97:[111, 34], Operations: ['87+24=111', '79-45=34']
Exploring Operation: 111-34=77, Resulting Numbers: [77]
77,97 unequal: No Solution
Exploring Operation: 111*34=3774, Resulting Numbers: [3774]
3774,97 unequal: No Solution
Exploring Operation: 111+34=145, Resulting Numbers: [145]
145,97 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: 97:[45, 79, 63], Operations: ['87-24=63']
Exploring Operation: 45+79=124, Resulting Numbers: [63, 124]
Generated Node #0,2,0: 97:[63, 124] Operation: 45+79=124
Exploring Operation: 63-45=18, Resulting Numbers: [79, 18]
Generated Node #0,2,1: 97:[79, 18] Operation: 63-45=18
Exploring Operation: 45+63=108, Resulting Numbers: [79, 108]
Generated Node #0,2,2: 97:[79, 108] Operation: 45+63=108
Exploring Operation: 79-45=34, Resulting Numbers: [63, 34]
Generated Node #0,2,3: 97:[63, 34] Operation: 79-45=34
Moving to Node #0,2,2
Current State: 97:[79, 108], Operations: ['87-24=63', '45+63=108']
Exploring Operation: 108-79=29, Resulting Numbers: [29]
29,97 unequal: No Solution
Exploring Operation: 79*108=8532, Resulting Numbers: [8532]
8532,97 unequal: No Solution
Exploring Operation: 79+108=187, Resulting Numbers: [187]
187,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[103, 132], Operations: ['79+24=103', '87+45=132']
Exploring Operation: 103+132=235, Resulting Numbers: [235]
235,97 unequal: No Solution
Exploring Operation: 132-103=29, Resulting Numbers: [29]
29,97 unequal: No Solution
Exploring Operation: 103*132=13596, Resulting Numbers: [13596]
13596,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[87, 58], Operations: ['79+24=103', '103-45=58']
Exploring Operation: 87+58=145, Resulting Numbers: [145]
145,97 unequal: No Solution
Exploring Operation: 87-58=29, Resulting Numbers: [29]
29,97 unequal: No Solution
Exploring Operation: 87*58=5046, Resulting Numbers: [5046]
5046,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[87, 148], Operations: ['79+24=103', '45+103=148']
Exploring Operation: 87+148=235, Resulting Numbers: [235]
235,97 unequal: No Solution
Exploring Operation: 148-87=61, Resulting Numbers: [61]
61,97 unequal: No Solution
Exploring Operation: 87*148=12876, Resulting Numbers: [12876]
12876,97 unequal: No Solution
Moving to Node #0,2,0
Current State: 97:[63, 124], Operations: ['87-24=63', '45+79=124']
Exploring Operation: 63*124=7812, Resulting Numbers: [7812]
7812,97 unequal: No Solution
Exploring Operation: 124-63=61, Resulting Numbers: [61]
61,97 unequal: No Solution
Exploring Operation: 63+124=187, Resulting Numbers: [187]
187,97 unequal: No Solution
Moving to Node #0,1,3
Current State: 97:[87, 148], Operations: ['45+24=69', '79+69=148']
Exploring Operation: 148-87=61, Resulting Numbers: [61]
61,97 unequal: No Solution
Exploring Operation: 87*148=12876, Resulting Numbers: [12876]
12876,97 unequal: No Solution
Exploring Operation: 87+148=235, Resulting Numbers: [235]
235,97 unequal: No Solution
Moving to Node #0,0,3
Current State: 97:[103, 42], Operations: ['79+24=103', '87-45=42']
Exploring Operation: 103+42=145, Resulting Numbers: [145]
145,97 unequal: No Solution
Exploring Operation: 103*42=4326, Resulting Numbers: [4326]
4326,97 unequal: No Solution
Exploring Operation: 103-42=61, Resulting Numbers: [61]
61,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[79, 156], Operations: ['45+24=69', '87+69=156']
Exploring Operation: 79+156=235, Resulting Numbers: [235]
235,97 unequal: No Solution
Exploring Operation: 156-79=77, Resulting Numbers: [77]
77,97 unequal: No Solution
Exploring Operation: 79*156=12324, Resulting Numbers: [12324]
12324,97 unequal: No Solution
Moving to Node #0,2,1
Current State: 97:[79, 18], Operations: ['87-24=63', '63-45=18']
Exploring Operation: 79*18=1422, Resulting Numbers: [1422]
1422,97 unequal: No Solution
Exploring Operation: 79+18=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[87, 45, 79, 24], Operations: []
Exploring Operation: 87-24=63, Resulting Numbers: [45, 79, 63]
Generated Node #0,2: 97:[45, 79, 63] Operation: 87-24=63
Moving to Node #0,2
Current State: 97:[45, 79, 63], Operations: ['87-24=63']
Exploring Operation: 63-45=18, Resulting Numbers: [79, 18]
Generated Node #0,2,1: 97:[79, 18] Operation: 63-45=18
Moving to Node #0,2,1
Current State: 97:[79, 18], Operations: ['87-24=63', '63-45=18']
Exploring Operation: 79+18=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 0.946181 | hs_4 | mult_heuristic |
[
52,
6,
43,
66
] | 44 | [
"52-43=9",
"6*66=396",
"396/9=44"
] | Current State: 44:[52, 6, 43, 66], Operations: []
Exploring Operation: 52-43=9, Resulting Numbers: [6, 66, 9]
Generated Node #2: [6, 66, 9] from Operation: 52-43=9
Current State: 44:[6, 66, 9], Operations: ['52-43=9']
Exploring Operation: 6*66=396, Resulting Numbers: [9, 396]
Generated Node #3: [9, 396] from Operation: 6*66=396
Current State: 44:[9, 396], Operations: ['52-43=9', '6*66=396']
Exploring Operation: 396/9=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[52, 6, 43, 66], Operations: []
Exploring Operation: 66-6=60, Resulting Numbers: [52, 43, 60]
Generated Node #0,0: 44:[52, 43, 60] Operation: 66-6=60
Exploring Operation: 66-43=23, Resulting Numbers: [52, 6, 23]
Generated Node #0,1: 44:[52, 6, 23] Operation: 66-43=23
Exploring Operation: 66/6=11, Resulting Numbers: [52, 43, 11]
Generated Node #0,2: 44:[52, 43, 11] Operation: 66/6=11
Exploring Operation: 66-52=14, Resulting Numbers: [6, 43, 14]
Generated Node #0,3: 44:[6, 43, 14] Operation: 66-52=14
Exploring Operation: 52-6=46, Resulting Numbers: [43, 66, 46]
Generated Node #0,4: 44:[43, 66, 46] Operation: 52-6=46
Start Sub Search at level 1: Moving to Node #0,3
Current State: 44:[6, 43, 14], Operations: ['66-52=14']
Exploring Operation: 6+43=49, Resulting Numbers: [14, 49]
Generated Node #0,3,0: 44:[14, 49] Operation: 6+43=49
Exploring Operation: 43-6=37, Resulting Numbers: [14, 37]
Generated Node #0,3,1: 44:[14, 37] Operation: 43-6=37
Exploring Operation: 6+14=20, Resulting Numbers: [43, 20]
Generated Node #0,3,2: 44:[43, 20] Operation: 6+14=20
Exploring Operation: 14-6=8, Resulting Numbers: [43, 8]
Generated Node #0,3,3: 44:[43, 8] Operation: 14-6=8
Exploring Operation: 43-14=29, Resulting Numbers: [6, 29]
Generated Node #0,3,4: 44:[6, 29] Operation: 43-14=29
Moving to Node #0,3,2
Current State: 44:[43, 20], Operations: ['66-52=14', '6+14=20']
Exploring Operation: 43*20=860, Resulting Numbers: [860]
860,44 unequal: No Solution
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 43+20=63, Resulting Numbers: [63]
63,44 unequal: No Solution
Moving to Node #0,3,3
Current State: 44:[43, 8], Operations: ['66-52=14', '14-6=8']
Exploring Operation: 43+8=51, Resulting Numbers: [51]
51,44 unequal: No Solution
Exploring Operation: 43*8=344, Resulting Numbers: [344]
344,44 unequal: No Solution
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Moving to Node #0,3,0
Current State: 44:[14, 49], Operations: ['66-52=14', '6+43=49']
Exploring Operation: 14*49=686, Resulting Numbers: [686]
686,44 unequal: No Solution
Exploring Operation: 14+49=63, Resulting Numbers: [63]
63,44 unequal: No Solution
Exploring Operation: 49-14=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Moving to Node #0,3,4
Current State: 44:[6, 29], Operations: ['66-52=14', '43-14=29']
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 6*29=174, Resulting Numbers: [174]
174,44 unequal: No Solution
Moving to Node #0,3,1
Current State: 44:[14, 37], Operations: ['66-52=14', '43-6=37']
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 14+37=51, Resulting Numbers: [51]
51,44 unequal: No Solution
Exploring Operation: 14*37=518, Resulting Numbers: [518]
518,44 unequal: No Solution
No 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: 44:[52, 43, 11], Operations: ['66/6=11']
Exploring Operation: 52+11=63, Resulting Numbers: [43, 63]
Generated Node #0,2,0: 44:[43, 63] Operation: 52+11=63
Exploring Operation: 43+11=54, Resulting Numbers: [52, 54]
Generated Node #0,2,1: 44:[52, 54] Operation: 43+11=54
Exploring Operation: 43-11=32, Resulting Numbers: [52, 32]
Generated Node #0,2,2: 44:[52, 32] Operation: 43-11=32
Exploring Operation: 52-43=9, Resulting Numbers: [11, 9]
Generated Node #0,2,3: 44:[11, 9] Operation: 52-43=9
Exploring Operation: 52-11=41, Resulting Numbers: [43, 41]
Generated Node #0,2,4: 44:[43, 41] Operation: 52-11=41
Moving to Node #0,2,3
Current State: 44:[11, 9], Operations: ['66/6=11', '52-43=9']
Exploring Operation: 11+9=20, Resulting Numbers: [20]
20,44 unequal: No Solution
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,44 unequal: No Solution
Moving to Node #0,2,4
Current State: 44:[43, 41], Operations: ['66/6=11', '52-11=41']
Exploring Operation: 43*41=1763, Resulting Numbers: [1763]
1763,44 unequal: No Solution
Exploring Operation: 43+41=84, Resulting Numbers: [84]
84,44 unequal: No Solution
Exploring Operation: 43-41=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Moving to Node #0,2,1
Current State: 44:[52, 54], Operations: ['66/6=11', '43+11=54']
Exploring Operation: 54-52=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 52*54=2808, Resulting Numbers: [2808]
2808,44 unequal: No Solution
Exploring Operation: 52+54=106, Resulting Numbers: [106]
106,44 unequal: No Solution
Moving to Node #0,2,2
Current State: 44:[52, 32], Operations: ['66/6=11', '43-11=32']
Exploring Operation: 52*32=1664, Resulting Numbers: [1664]
1664,44 unequal: No Solution
Exploring Operation: 52+32=84, Resulting Numbers: [84]
84,44 unequal: No Solution
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,44 unequal: No Solution
Moving to Node #0,2,0
Current State: 44:[43, 63], Operations: ['66/6=11', '52+11=63']
Exploring Operation: 43*63=2709, Resulting Numbers: [2709]
2709,44 unequal: No Solution
Exploring Operation: 43+63=106, Resulting Numbers: [106]
106,44 unequal: No Solution
Exploring Operation: 63-43=20, Resulting Numbers: [20]
20,44 unequal: No Solution
No 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: 44:[52, 6, 23], Operations: ['66-43=23']
Exploring Operation: 52-23=29, Resulting Numbers: [6, 29]
Generated Node #0,1,0: 44:[6, 29] Operation: 52-23=29
Exploring Operation: 23-6=17, Resulting Numbers: [52, 17]
Generated Node #0,1,1: 44:[52, 17] Operation: 23-6=17
Exploring Operation: 6+23=29, Resulting Numbers: [52, 29]
Generated Node #0,1,2: 44:[52, 29] Operation: 6+23=29
Exploring Operation: 52+6=58, Resulting Numbers: [23, 58]
Generated Node #0,1,3: 44:[23, 58] Operation: 52+6=58
Exploring Operation: 52-6=46, Resulting Numbers: [23, 46]
Generated Node #0,1,4: 44:[23, 46] Operation: 52-6=46
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 44:[23, 46], Operations: ['66-43=23', '52-6=46']
Exploring Operation: 46-23=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 23*46=1058, Resulting Numbers: [1058]
1058,44 unequal: No Solution
Exploring Operation: 23+46=69, Resulting Numbers: [69]
69,44 unequal: No Solution
Exploring Operation: 46/23=2, Resulting Numbers: [2]
2,44 unequal: No Solution
No 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: 44:[6, 29], Operations: ['66-43=23', '52-23=29']
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 6*29=174, Resulting Numbers: [174]
174,44 unequal: No Solution
No 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: 44:[52, 17], Operations: ['66-43=23', '23-6=17']
Exploring Operation: 52*17=884, Resulting Numbers: [884]
884,44 unequal: No Solution
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 52+17=69, Resulting Numbers: [69]
69,44 unequal: No Solution
No 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: 44:[52, 29], Operations: ['66-43=23', '6+23=29']
Exploring Operation: 52-29=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 52*29=1508, Resulting Numbers: [1508]
1508,44 unequal: No Solution
Exploring Operation: 52+29=81, Resulting Numbers: [81]
81,44 unequal: No Solution
No 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: 44:[23, 58], Operations: ['66-43=23', '52+6=58']
Exploring Operation: 58-23=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 23*58=1334, Resulting Numbers: [1334]
1334,44 unequal: No Solution
Exploring Operation: 23+58=81, Resulting Numbers: [81]
81,44 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: 44:[52, 43, 60], Operations: ['66-6=60']
Exploring Operation: 60-43=17, Resulting Numbers: [52, 17]
Generated Node #0,0,0: 44:[52, 17] Operation: 60-43=17
Exploring Operation: 52+43=95, Resulting Numbers: [60, 95]
Generated Node #0,0,1: 44:[60, 95] Operation: 52+43=95
Exploring Operation: 60-52=8, Resulting Numbers: [43, 8]
Generated Node #0,0,2: 44:[43, 8] Operation: 60-52=8
Exploring Operation: 43+60=103, Resulting Numbers: [52, 103]
Generated Node #0,0,3: 44:[52, 103] Operation: 43+60=103
Exploring Operation: 52-43=9, Resulting Numbers: [60, 9]
Generated Node #0,0,4: 44:[60, 9] Operation: 52-43=9
Moving to Node #0,0,2
Current State: 44:[43, 8], Operations: ['66-6=60', '60-52=8']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 43+8=51, Resulting Numbers: [51]
51,44 unequal: No Solution
Exploring Operation: 43*8=344, Resulting Numbers: [344]
344,44 unequal: No Solution
Moving to Node #0,0,0
Current State: 44:[52, 17], Operations: ['66-6=60', '60-43=17']
Exploring Operation: 52+17=69, Resulting Numbers: [69]
69,44 unequal: No Solution
Exploring Operation: 52*17=884, Resulting Numbers: [884]
884,44 unequal: No Solution
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Moving to Node #0,0,4
Current State: 44:[60, 9], Operations: ['66-6=60', '52-43=9']
Exploring Operation: 60*9=540, Resulting Numbers: [540]
540,44 unequal: No Solution
Exploring Operation: 60-9=51, Resulting Numbers: [51]
51,44 unequal: No Solution
Exploring Operation: 60+9=69, Resulting Numbers: [69]
69,44 unequal: No Solution
Moving to Node #0,0,1
Current State: 44:[60, 95], Operations: ['66-6=60', '52+43=95']
Exploring Operation: 95-60=35, Resulting Numbers: [35]
35,44 unequal: No Solution
Exploring Operation: 60*95=5700, Resulting Numbers: [5700]
5700,44 unequal: No Solution
Exploring Operation: 60+95=155, Resulting Numbers: [155]
155,44 unequal: No Solution
Moving to Node #0,0,3
Current State: 44:[52, 103], Operations: ['66-6=60', '43+60=103']
Exploring Operation: 103-52=51, Resulting Numbers: [51]
51,44 unequal: No Solution
Exploring Operation: 52*103=5356, Resulting Numbers: [5356]
5356,44 unequal: No Solution
Exploring Operation: 52+103=155, Resulting Numbers: [155]
155,44 unequal: No Solution
No 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: 44:[43, 66, 46], Operations: ['52-6=46']
Exploring Operation: 66-43=23, Resulting Numbers: [46, 23]
Generated Node #0,4,0: 44:[46, 23] Operation: 66-43=23
Exploring Operation: 66-46=20, Resulting Numbers: [43, 20]
Generated Node #0,4,1: 44:[43, 20] Operation: 66-46=20
Exploring Operation: 43+46=89, Resulting Numbers: [66, 89]
Generated Node #0,4,2: 44:[66, 89] Operation: 43+46=89
Exploring Operation: 46-43=3, Resulting Numbers: [66, 3]
Generated Node #0,4,3: 44:[66, 3] Operation: 46-43=3
Exploring Operation: 43+66=109, Resulting Numbers: [46, 109]
Generated Node #0,4,4: 44:[46, 109] Operation: 43+66=109
Moving to Node #0,4,0
Current State: 44:[46, 23], Operations: ['52-6=46', '66-43=23']
Exploring Operation: 46+23=69, Resulting Numbers: [69]
69,44 unequal: No Solution
Exploring Operation: 46*23=1058, Resulting Numbers: [1058]
1058,44 unequal: No Solution
Exploring Operation: 46/23=2, Resulting Numbers: [2]
2,44 unequal: No Solution
Exploring Operation: 46-23=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Moving to Node #0,4,1
Current State: 44:[43, 20], Operations: ['52-6=46', '66-46=20']
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 43+20=63, Resulting Numbers: [63]
63,44 unequal: No Solution
Exploring Operation: 43*20=860, Resulting Numbers: [860]
860,44 unequal: No Solution
Moving to Node #0,4,3
Current State: 44:[66, 3], Operations: ['52-6=46', '46-43=3']
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,44 unequal: No Solution
Exploring Operation: 66*3=198, Resulting Numbers: [198]
198,44 unequal: No Solution
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,44 unequal: No Solution
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,44 unequal: No Solution
Moving to Node #0,4,2
Current State: 44:[66, 89], Operations: ['52-6=46', '43+46=89']
Exploring Operation: 66*89=5874, Resulting Numbers: [5874]
5874,44 unequal: No Solution
Exploring Operation: 66+89=155, Resulting Numbers: [155]
155,44 unequal: No Solution
Exploring Operation: 89-66=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Moving to Node #0,4,4
Current State: 44:[46, 109], Operations: ['52-6=46', '43+66=109']
Exploring Operation: 109-46=63, Resulting Numbers: [63]
63,44 unequal: No Solution
Exploring Operation: 46+109=155, Resulting Numbers: [155]
155,44 unequal: No Solution
Exploring Operation: 46*109=5014, Resulting Numbers: [5014]
5014,44 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 |
[
33,
2,
48,
7
] | 20 | [
"33+2=35",
"48+7=55",
"55-35=20"
] | Current State: 20:[33, 2, 48, 7], Operations: []
Exploring Operation: 33+2=35, Resulting Numbers: [48, 7, 35]
Generated Node #2: [48, 7, 35] from Operation: 33+2=35
Current State: 20:[48, 7, 35], Operations: ['33+2=35']
Exploring Operation: 48+7=55, Resulting Numbers: [35, 55]
Generated Node #3: [35, 55] from Operation: 48+7=55
Current State: 20:[35, 55], Operations: ['33+2=35', '48+7=55']
Exploring Operation: 55-35=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[33, 2, 48, 7], Operations: []
Exploring Operation: 48-33=15, Resulting Numbers: [2, 7, 15]
Generated Node #0,0: 20:[2, 7, 15] Operation: 48-33=15
Exploring Operation: 48-7=41, Resulting Numbers: [33, 2, 41]
Generated Node #0,1: 20:[33, 2, 41] Operation: 48-7=41
Exploring Operation: 48/2=24, Resulting Numbers: [33, 7, 24]
Generated Node #0,2: 20:[33, 7, 24] Operation: 48/2=24
Exploring Operation: 33-7=26, Resulting Numbers: [2, 48, 26]
Generated Node #0,3: 20:[2, 48, 26] Operation: 33-7=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[2, 7, 15], Operations: ['48-33=15']
Exploring Operation: 7+15=22, Resulting Numbers: [2, 22]
Generated Node #0,0,0: 20:[2, 22] Operation: 7+15=22
Exploring Operation: 7-2=5, Resulting Numbers: [15, 5]
Generated Node #0,0,1: 20:[15, 5] Operation: 7-2=5
Exploring Operation: 15-7=8, Resulting Numbers: [2, 8]
Generated Node #0,0,2: 20:[2, 8] Operation: 15-7=8
Exploring Operation: 2+15=17, Resulting Numbers: [7, 17]
Generated Node #0,0,3: 20:[7, 17] Operation: 2+15=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 20:[2, 22], Operations: ['48-33=15', '7+15=22']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[33, 2, 48, 7], Operations: []
Exploring Operation: 48-33=15, Resulting Numbers: [2, 7, 15]
Generated Node #0,0: 20:[2, 7, 15] Operation: 48-33=15
Moving to Node #0,0
Current State: 20:[2, 7, 15], Operations: ['48-33=15']
Exploring Operation: 7+15=22, Resulting Numbers: [2, 22]
Generated Node #0,0,0: 20:[2, 22] Operation: 7+15=22
Moving to Node #0,0,0
Current State: 20:[2, 22], Operations: ['48-33=15', '7+15=22']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
59,
84,
80,
80
] | 84 | [
"80-59=21",
"84-80=4",
"21*4=84"
] | Current State: 84:[59, 84, 80, 80], Operations: []
Exploring Operation: 80-59=21, Resulting Numbers: [84, 21]
Generated Node #2: [84, 21] from Operation: 80-59=21
Current State: 84:[84, 21], Operations: ['80-59=21']
Exploring Operation: 84-80=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 84-80=4
Current State: 84:[21, 4], Operations: ['80-59=21', '84-80=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[59, 84, 80, 80], Operations: []
Exploring Operation: 80-59=21, Resulting Numbers: [84, 80, 21]
Generated Node #0,0: 84:[84, 80, 21] Operation: 80-59=21
Moving to Node #0,0
Current State: 84:[84, 80, 21], Operations: ['80-59=21']
Exploring Operation: 84-80=4, Resulting Numbers: [21, 4]
Generated Node #0,0,0: 84:[21, 4] Operation: 84-80=4
Moving to Node #0,0,0
Current State: 84:[21, 4], Operations: ['80-59=21', '84-80=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[59, 84, 80, 80], Operations: []
Exploring Operation: 80-59=21, Resulting Numbers: [84, 80, 21]
Generated Node #0,0: 84:[84, 80, 21] Operation: 80-59=21
Moving to Node #0,0
Current State: 84:[84, 80, 21], Operations: ['80-59=21']
Exploring Operation: 84-80=4, Resulting Numbers: [21, 4]
Generated Node #0,0,0: 84:[21, 4] Operation: 84-80=4
Moving to Node #0,0,0
Current State: 84:[21, 4], Operations: ['80-59=21', '84-80=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
31,
33,
29,
49
] | 76 | [
"33-31=2",
"29+49=78",
"78-2=76"
] | Current State: 76:[31, 33, 29, 49], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [29, 49, 2]
Generated Node #2: [29, 49, 2] from Operation: 33-31=2
Current State: 76:[29, 49, 2], Operations: ['33-31=2']
Exploring Operation: 29+49=78, Resulting Numbers: [2, 78]
Generated Node #3: [2, 78] from Operation: 29+49=78
Current State: 76:[2, 78], Operations: ['33-31=2', '29+49=78']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[31, 33, 29, 49], Operations: []
Exploring Operation: 29+49=78, Resulting Numbers: [31, 33, 78]
Generated Node #0,0: 76:[31, 33, 78] Operation: 29+49=78
Exploring Operation: 49-31=18, Resulting Numbers: [33, 29, 18]
Generated Node #0,1: 76:[33, 29, 18] Operation: 49-31=18
Exploring Operation: 49-29=20, Resulting Numbers: [31, 33, 20]
Generated Node #0,2: 76:[31, 33, 20] Operation: 49-29=20
Exploring Operation: 31+49=80, Resulting Numbers: [33, 29, 80]
Generated Node #0,3: 76:[33, 29, 80] Operation: 31+49=80
Exploring Operation: 31-29=2, Resulting Numbers: [33, 49, 2]
Generated Node #0,4: 76:[33, 49, 2] Operation: 31-29=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[31, 33, 20], Operations: ['49-29=20']
Exploring Operation: 31-20=11, Resulting Numbers: [33, 11]
Generated Node #0,2,0: 76:[33, 11] Operation: 31-20=11
Exploring Operation: 31+33=64, Resulting Numbers: [20, 64]
Generated Node #0,2,1: 76:[20, 64] Operation: 31+33=64
Exploring Operation: 33-20=13, Resulting Numbers: [31, 13]
Generated Node #0,2,2: 76:[31, 13] Operation: 33-20=13
Exploring Operation: 33-31=2, Resulting Numbers: [20, 2]
Generated Node #0,2,3: 76:[20, 2] Operation: 33-31=2
Exploring Operation: 31+20=51, Resulting Numbers: [33, 51]
Generated Node #0,2,4: 76:[33, 51] Operation: 31+20=51
Moving to Node #0,2,3
Current State: 76:[20, 2], Operations: ['49-29=20', '33-31=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,76 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,76 unequal: No Solution
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,76 unequal: No Solution
Moving to Node #0,2,0
Current State: 76:[33, 11], Operations: ['49-29=20', '31-20=11']
Exploring Operation: 33*11=363, Resulting Numbers: [363]
363,76 unequal: No Solution
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,76 unequal: No Solution
Exploring Operation: 33/11=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 33+11=44, Resulting Numbers: [44]
44,76 unequal: No Solution
Moving to Node #0,2,1
Current State: 76:[20, 64], Operations: ['49-29=20', '31+33=64']
Exploring Operation: 20*64=1280, Resulting Numbers: [1280]
1280,76 unequal: No Solution
Exploring Operation: 20+64=84, Resulting Numbers: [84]
84,76 unequal: No Solution
Exploring Operation: 64-20=44, Resulting Numbers: [44]
44,76 unequal: No Solution
Moving to Node #0,2,2
Current State: 76:[31, 13], Operations: ['49-29=20', '33-20=13']
Exploring Operation: 31*13=403, Resulting Numbers: [403]
403,76 unequal: No Solution
Exploring Operation: 31+13=44, Resulting Numbers: [44]
44,76 unequal: No Solution
Exploring Operation: 31-13=18, Resulting Numbers: [18]
18,76 unequal: No Solution
Moving to Node #0,2,4
Current State: 76:[33, 51], Operations: ['49-29=20', '31+20=51']
Exploring Operation: 33*51=1683, Resulting Numbers: [1683]
1683,76 unequal: No Solution
Exploring Operation: 33+51=84, Resulting Numbers: [84]
84,76 unequal: No Solution
Exploring Operation: 51-33=18, Resulting Numbers: [18]
18,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[31, 33, 78], Operations: ['29+49=78']
Exploring Operation: 31+33=64, Resulting Numbers: [78, 64]
Generated Node #0,0,0: 76:[78, 64] Operation: 31+33=64
Exploring Operation: 78-31=47, Resulting Numbers: [33, 47]
Generated Node #0,0,1: 76:[33, 47] Operation: 78-31=47
Exploring Operation: 33-31=2, Resulting Numbers: [78, 2]
Generated Node #0,0,2: 76:[78, 2] Operation: 33-31=2
Exploring Operation: 31+78=109, Resulting Numbers: [33, 109]
Generated Node #0,0,3: 76:[33, 109] Operation: 31+78=109
Exploring Operation: 78-33=45, Resulting Numbers: [31, 45]
Generated Node #0,0,4: 76:[31, 45] Operation: 78-33=45
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 76:[78, 2], Operations: ['29+49=78', '33-31=2']
Exploring Operation: 78*2=156, Resulting Numbers: [156]
156,76 unequal: No Solution
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[31, 33, 29, 49], Operations: []
Exploring Operation: 29+49=78, Resulting Numbers: [31, 33, 78]
Generated Node #0,0: 76:[31, 33, 78] Operation: 29+49=78
Moving to Node #0,0
Current State: 76:[31, 33, 78], Operations: ['29+49=78']
Exploring Operation: 33-31=2, Resulting Numbers: [78, 2]
Generated Node #0,0,2: 76:[78, 2] Operation: 33-31=2
Moving to Node #0,0,2
Current State: 76:[78, 2], Operations: ['29+49=78', '33-31=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967014 | hs_5 | sum_heuristic |
[
3,
44,
19,
4
] | 24 | [
"3+44=47",
"19+4=23",
"47-23=24"
] | Current State: 24:[3, 44, 19, 4], Operations: []
Exploring Operation: 3+44=47, Resulting Numbers: [19, 4, 47]
Generated Node #2: [19, 4, 47] from Operation: 3+44=47
Current State: 24:[19, 4, 47], Operations: ['3+44=47']
Exploring Operation: 19+4=23, Resulting Numbers: [47, 23]
Generated Node #3: [47, 23] from Operation: 19+4=23
Current State: 24:[47, 23], Operations: ['3+44=47', '19+4=23']
Exploring Operation: 47-23=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[3, 44, 19, 4], Operations: []
Exploring Operation: 44-4=40, Resulting Numbers: [3, 19, 40]
Generated Node #0,0: 24:[3, 19, 40] Operation: 44-4=40
Exploring Operation: 44/4=11, Resulting Numbers: [3, 19, 11]
Generated Node #0,1: 24:[3, 19, 11] Operation: 44/4=11
Exploring Operation: 44-19=25, Resulting Numbers: [3, 4, 25]
Generated Node #0,2: 24:[3, 4, 25] Operation: 44-19=25
Moving to Node #0,2
Current State: 24:[3, 4, 25], Operations: ['44-19=25']
Exploring Operation: 3*4=12, Resulting Numbers: [25, 12]
Generated Node #0,2,0: 24:[25, 12] Operation: 3*4=12
Exploring Operation: 3+4=7, Resulting Numbers: [25, 7]
Generated Node #0,2,1: 24:[25, 7] Operation: 3+4=7
Exploring Operation: 4-3=1, Resulting Numbers: [25, 1]
Generated Node #0,2,2: 24:[25, 1] Operation: 4-3=1
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 24:[25, 12], Operations: ['44-19=25', '3*4=12']
Exploring Operation: 25*12=300, Resulting Numbers: [300]
300,24 unequal: No Solution
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,24 unequal: No Solution
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 24:[25, 7], Operations: ['44-19=25', '3+4=7']
Exploring Operation: 25*7=175, Resulting Numbers: [175]
175,24 unequal: No Solution
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,24 unequal: No Solution
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 24:[25, 1], Operations: ['44-19=25', '4-3=1']
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,24 unequal: No Solution
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[3, 44, 19, 4], Operations: []
Exploring Operation: 44-19=25, Resulting Numbers: [3, 4, 25]
Generated Node #0,2: 24:[3, 4, 25] Operation: 44-19=25
Moving to Node #0,2
Current State: 24:[3, 4, 25], Operations: ['44-19=25']
Exploring Operation: 4-3=1, Resulting Numbers: [25, 1]
Generated Node #0,2,2: 24:[25, 1] Operation: 4-3=1
Moving to Node #0,2,2
Current State: 24:[25, 1], Operations: ['44-19=25', '4-3=1']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | sum_heuristic |
[
30,
9,
11,
48
] | 21 | [
"30+48=78",
"9*11=99",
"99-78=21"
] | Current State: 21:[30, 9, 11, 48], Operations: []
Exploring Operation: 30+48=78, Resulting Numbers: [9, 11, 78]
Generated Node #2: [9, 11, 78] from Operation: 30+48=78
Current State: 21:[9, 11, 78], Operations: ['30+48=78']
Exploring Operation: 9*11=99, Resulting Numbers: [78, 99]
Generated Node #3: [78, 99] from Operation: 9*11=99
Current State: 21:[78, 99], Operations: ['30+48=78', '9*11=99']
Exploring Operation: 99-78=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[30, 9, 11, 48], Operations: []
Exploring Operation: 48-30=18, Resulting Numbers: [9, 11, 18]
Generated Node #0,0: 21:[9, 11, 18] Operation: 48-30=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[9, 11, 18], Operations: ['48-30=18']
Exploring Operation: 18-11=7, Resulting Numbers: [9, 7]
Generated Node #0,0,0: 21:[9, 7] Operation: 18-11=7
Moving to Node #0,0,0
Current State: 21:[9, 7], Operations: ['48-30=18', '18-11=7']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,21 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 |
[
43,
4,
96,
86
] | 12 | [
"43*96=4128",
"4*86=344",
"4128/344=12"
] | Current State: 12:[43, 4, 96, 86], Operations: []
Exploring Operation: 43*96=4128, Resulting Numbers: [4, 86, 4128]
Generated Node #2: [4, 86, 4128] from Operation: 43*96=4128
Current State: 12:[4, 86, 4128], Operations: ['43*96=4128']
Exploring Operation: 4*86=344, Resulting Numbers: [4128, 344]
Generated Node #3: [4128, 344] from Operation: 4*86=344
Current State: 12:[4128, 344], Operations: ['43*96=4128', '4*86=344']
Exploring Operation: 4128/344=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[43, 4, 96, 86], Operations: []
Exploring Operation: 96/4=24, Resulting Numbers: [43, 86, 24]
Generated Node #0,0: 12:[43, 86, 24] Operation: 96/4=24
Exploring Operation: 86-43=43, Resulting Numbers: [4, 96, 43]
Generated Node #0,1: 12:[4, 96, 43] Operation: 86-43=43
Exploring Operation: 96-43=53, Resulting Numbers: [4, 86, 53]
Generated Node #0,2: 12:[4, 86, 53] Operation: 96-43=53
Exploring Operation: 86/43=2, Resulting Numbers: [4, 96, 2]
Generated Node #0,3: 12:[4, 96, 2] Operation: 86/43=2
Exploring Operation: 96-86=10, Resulting Numbers: [43, 4, 10]
Generated Node #0,4: 12:[43, 4, 10] Operation: 96-86=10
Start Sub Search at level 1: Moving to Node #0,4
Current State: 12:[43, 4, 10], Operations: ['96-86=10']
Exploring Operation: 10-4=6, Resulting Numbers: [43, 6]
Generated Node #0,4,0: 12:[43, 6] Operation: 10-4=6
Exploring Operation: 43+4=47, Resulting Numbers: [10, 47]
Generated Node #0,4,1: 12:[10, 47] Operation: 43+4=47
Exploring Operation: 4+10=14, Resulting Numbers: [43, 14]
Generated Node #0,4,2: 12:[43, 14] Operation: 4+10=14
Exploring Operation: 43-10=33, Resulting Numbers: [4, 33]
Generated Node #0,4,3: 12:[4, 33] Operation: 43-10=33
Exploring Operation: 43-4=39, Resulting Numbers: [10, 39]
Generated Node #0,4,4: 12:[10, 39] Operation: 43-4=39
Moving to Node #0,4,3
Current State: 12:[4, 33], Operations: ['96-86=10', '43-10=33']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,12 unequal: No Solution
Exploring Operation: 4*33=132, Resulting Numbers: [132]
132,12 unequal: No Solution
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,12 unequal: No Solution
Moving to Node #0,4,4
Current State: 12:[10, 39], Operations: ['96-86=10', '43-4=39']
Exploring Operation: 10+39=49, Resulting Numbers: [49]
49,12 unequal: No Solution
Exploring Operation: 10*39=390, Resulting Numbers: [390]
390,12 unequal: No Solution
Exploring Operation: 39-10=29, Resulting Numbers: [29]
29,12 unequal: No Solution
Moving to Node #0,4,0
Current State: 12:[43, 6], Operations: ['96-86=10', '10-4=6']
Exploring Operation: 43*6=258, Resulting Numbers: [258]
258,12 unequal: No Solution
Exploring Operation: 43+6=49, Resulting Numbers: [49]
49,12 unequal: No Solution
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,12 unequal: No Solution
Moving to Node #0,4,2
Current State: 12:[43, 14], Operations: ['96-86=10', '4+10=14']
Exploring Operation: 43+14=57, Resulting Numbers: [57]
57,12 unequal: No Solution
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,12 unequal: No Solution
Exploring Operation: 43*14=602, Resulting Numbers: [602]
602,12 unequal: No Solution
Moving to Node #0,4,1
Current State: 12:[10, 47], Operations: ['96-86=10', '43+4=47']
Exploring Operation: 10*47=470, Resulting Numbers: [470]
470,12 unequal: No Solution
Exploring Operation: 10+47=57, Resulting Numbers: [57]
57,12 unequal: No Solution
Exploring Operation: 47-10=37, Resulting Numbers: [37]
37,12 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:[4, 96, 2], Operations: ['86/43=2']
Exploring Operation: 4+2=6, Resulting Numbers: [96, 6]
Generated Node #0,3,0: 12:[96, 6] Operation: 4+2=6
Exploring Operation: 96/4=24, Resulting Numbers: [2, 24]
Generated Node #0,3,1: 12:[2, 24] Operation: 96/4=24
Exploring Operation: 96-2=94, Resulting Numbers: [4, 94]
Generated Node #0,3,2: 12:[4, 94] Operation: 96-2=94
Exploring Operation: 96-4=92, Resulting Numbers: [2, 92]
Generated Node #0,3,3: 12:[2, 92] Operation: 96-4=92
Exploring Operation: 96/2=48, Resulting Numbers: [4, 48]
Generated Node #0,3,4: 12:[4, 48] Operation: 96/2=48
Moving to Node #0,3,1
Current State: 12:[2, 24], Operations: ['86/43=2', '96/4=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,12 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,12 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,12 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[43, 4, 96, 86], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [4, 96, 2]
Generated Node #0,3: 12:[4, 96, 2] Operation: 86/43=2
Moving to Node #0,3
Current State: 12:[4, 96, 2], Operations: ['86/43=2']
Exploring Operation: 96/4=24, Resulting Numbers: [2, 24]
Generated Node #0,3,1: 12:[2, 24] Operation: 96/4=24
Moving to Node #0,3,1
Current State: 12:[2, 24], Operations: ['86/43=2', '96/4=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 | hs_5 | mult_heuristic |
[
13,
76,
60,
80
] | 51 | [
"13+76=89",
"60+80=140",
"140-89=51"
] | Current State: 51:[13, 76, 60, 80], Operations: []
Exploring Operation: 13+76=89, Resulting Numbers: [60, 80, 89]
Generated Node #2: [60, 80, 89] from Operation: 13+76=89
Current State: 51:[60, 80, 89], Operations: ['13+76=89']
Exploring Operation: 60+80=140, Resulting Numbers: [89, 140]
Generated Node #3: [89, 140] from Operation: 60+80=140
Current State: 51:[89, 140], Operations: ['13+76=89', '60+80=140']
Exploring Operation: 140-89=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[13, 76, 60, 80], Operations: []
Exploring Operation: 76-13=63, Resulting Numbers: [60, 80, 63]
Generated Node #0,0: 51:[60, 80, 63] Operation: 76-13=63
Exploring Operation: 80-60=20, Resulting Numbers: [13, 76, 20]
Generated Node #0,1: 51:[13, 76, 20] Operation: 80-60=20
Exploring Operation: 80-76=4, Resulting Numbers: [13, 60, 4]
Generated Node #0,2: 51:[13, 60, 4] Operation: 80-76=4
Exploring Operation: 76-60=16, Resulting Numbers: [13, 80, 16]
Generated Node #0,3: 51:[13, 80, 16] Operation: 76-60=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[13, 60, 4], Operations: ['80-76=4']
Exploring Operation: 60-13=47, Resulting Numbers: [4, 47]
Generated Node #0,2,0: 51:[4, 47] Operation: 60-13=47
Exploring Operation: 60-4=56, Resulting Numbers: [13, 56]
Generated Node #0,2,1: 51:[13, 56] Operation: 60-4=56
Exploring Operation: 13+4=17, Resulting Numbers: [60, 17]
Generated Node #0,2,2: 51:[60, 17] Operation: 13+4=17
Exploring Operation: 60/4=15, Resulting Numbers: [13, 15]
Generated Node #0,2,3: 51:[13, 15] Operation: 60/4=15
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 51:[4, 47], Operations: ['80-76=4', '60-13=47']
Exploring Operation: 4*47=188, Resulting Numbers: [188]
188,51 unequal: No Solution
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,51 unequal: No Solution
Exploring Operation: 4+47=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[13, 76, 60, 80], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [13, 60, 4]
Generated Node #0,2: 51:[13, 60, 4] Operation: 80-76=4
Moving to Node #0,2
Current State: 51:[13, 60, 4], Operations: ['80-76=4']
Exploring Operation: 60-13=47, Resulting Numbers: [4, 47]
Generated Node #0,2,0: 51:[4, 47] Operation: 60-13=47
Moving to Node #0,2,0
Current State: 51:[4, 47], Operations: ['80-76=4', '60-13=47']
Exploring Operation: 4+47=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
63,
12,
52,
2
] | 43 | [
"52-12=40",
"40/2=20",
"63-20=43"
] | Current State: 43:[63, 12, 52, 2], Operations: []
Exploring Operation: 52-12=40, Resulting Numbers: [63, 2, 40]
Generated Node #2: [63, 2, 40] from Operation: 52-12=40
Current State: 43:[63, 2, 40], Operations: ['52-12=40']
Exploring Operation: 40/2=20, Resulting Numbers: [63, 20]
Generated Node #3: [63, 20] from Operation: 40/2=20
Current State: 43:[63, 20], Operations: ['52-12=40', '40/2=20']
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[63, 12, 52, 2], Operations: []
Exploring Operation: 12*2=24, Resulting Numbers: [63, 52, 24]
Generated Node #0,0: 43:[63, 52, 24] Operation: 12*2=24
Exploring Operation: 63-2=61, Resulting Numbers: [12, 52, 61]
Generated Node #0,1: 43:[12, 52, 61] Operation: 63-2=61
Exploring Operation: 63-12=51, Resulting Numbers: [52, 2, 51]
Generated Node #0,2: 43:[52, 2, 51] Operation: 63-12=51
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[63, 52, 24], Operations: ['12*2=24']
Exploring Operation: 52-24=28, Resulting Numbers: [63, 28]
Generated Node #0,0,0: 43:[63, 28] Operation: 52-24=28
Exploring Operation: 63-52=11, Resulting Numbers: [24, 11]
Generated Node #0,0,1: 43:[24, 11] Operation: 63-52=11
Exploring Operation: 63-24=39, Resulting Numbers: [52, 39]
Generated Node #0,0,2: 43:[52, 39] Operation: 63-24=39
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 43:[52, 39], Operations: ['12*2=24', '63-24=39']
Exploring Operation: 52*39=2028, Resulting Numbers: [2028]
2028,43 unequal: No Solution
Exploring Operation: 52+39=91, Resulting Numbers: [91]
91,43 unequal: No Solution
Exploring Operation: 52-39=13, Resulting Numbers: [13]
13,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 43:[63, 28], Operations: ['12*2=24', '52-24=28']
Exploring Operation: 63-28=35, Resulting Numbers: [35]
35,43 unequal: No Solution
Exploring Operation: 63+28=91, Resulting Numbers: [91]
91,43 unequal: No Solution
Exploring Operation: 63*28=1764, Resulting Numbers: [1764]
1764,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 43:[24, 11], Operations: ['12*2=24', '63-52=11']
Exploring Operation: 24+11=35, Resulting Numbers: [35]
35,43 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,43 unequal: No Solution
Exploring Operation: 24*11=264, Resulting Numbers: [264]
264,43 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 #0,1
Current State: 43:[12, 52, 61], Operations: ['63-2=61']
Exploring Operation: 61-12=49, Resulting Numbers: [52, 49]
Generated Node #0,1,0: 43:[52, 49] Operation: 61-12=49
Exploring Operation: 52-12=40, Resulting Numbers: [61, 40]
Generated Node #0,1,1: 43:[61, 40] Operation: 52-12=40
Exploring Operation: 12+52=64, Resulting Numbers: [61, 64]
Generated Node #0,1,2: 43:[61, 64] Operation: 12+52=64
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 43:[52, 49], Operations: ['63-2=61', '61-12=49']
Exploring Operation: 52-49=3, Resulting Numbers: [3]
3,43 unequal: No Solution
Exploring Operation: 52*49=2548, Resulting Numbers: [2548]
2548,43 unequal: No Solution
Exploring Operation: 52+49=101, Resulting Numbers: [101]
101,43 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:[61, 40], Operations: ['63-2=61', '52-12=40']
Exploring Operation: 61*40=2440, Resulting Numbers: [2440]
2440,43 unequal: No Solution
Exploring Operation: 61+40=101, Resulting Numbers: [101]
101,43 unequal: No Solution
Exploring Operation: 61-40=21, Resulting Numbers: [21]
21,43 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:[61, 64], Operations: ['63-2=61', '12+52=64']
Exploring Operation: 64-61=3, Resulting Numbers: [3]
3,43 unequal: No Solution
Exploring Operation: 61+64=125, Resulting Numbers: [125]
125,43 unequal: No Solution
Exploring Operation: 61*64=3904, Resulting Numbers: [3904]
3904,43 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:[52, 2, 51], Operations: ['63-12=51']
Exploring Operation: 52+2=54, Resulting Numbers: [51, 54]
Generated Node #0,2,0: 43:[51, 54] Operation: 52+2=54
Exploring Operation: 51-2=49, Resulting Numbers: [52, 49]
Generated Node #0,2,1: 43:[52, 49] Operation: 51-2=49
Exploring Operation: 52-2=50, Resulting Numbers: [51, 50]
Generated Node #0,2,2: 43:[51, 50] Operation: 52-2=50
Moving to Node #0,2,1
Current State: 43:[52, 49], Operations: ['63-12=51', '51-2=49']
Exploring Operation: 52-49=3, Resulting Numbers: [3]
3,43 unequal: No Solution
Exploring Operation: 52+49=101, Resulting Numbers: [101]
101,43 unequal: No Solution
Exploring Operation: 52*49=2548, Resulting Numbers: [2548]
2548,43 unequal: No Solution
Moving to Node #0,2,2
Current State: 43:[51, 50], Operations: ['63-12=51', '52-2=50']
Exploring Operation: 51*50=2550, Resulting Numbers: [2550]
2550,43 unequal: No Solution
Exploring Operation: 51+50=101, Resulting Numbers: [101]
101,43 unequal: No Solution
Exploring Operation: 51-50=1, Resulting Numbers: [1]
1,43 unequal: No Solution
Moving to Node #0,2,0
Current State: 43:[51, 54], Operations: ['63-12=51', '52+2=54']
Exploring Operation: 51*54=2754, Resulting Numbers: [2754]
2754,43 unequal: No Solution
Exploring Operation: 54-51=3, Resulting Numbers: [3]
3,43 unequal: No Solution
Exploring Operation: 51+54=105, Resulting Numbers: [105]
105,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
19,
65,
16,
84
] | 37 | [
"19-16=3",
"84/3=28",
"65-28=37"
] | Current State: 37:[19, 65, 16, 84], Operations: []
Exploring Operation: 19-16=3, Resulting Numbers: [65, 84, 3]
Generated Node #2: [65, 84, 3] from Operation: 19-16=3
Current State: 37:[65, 84, 3], Operations: ['19-16=3']
Exploring Operation: 84/3=28, Resulting Numbers: [65, 28]
Generated Node #3: [65, 28] from Operation: 84/3=28
Current State: 37:[65, 28], Operations: ['19-16=3', '84/3=28']
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[19, 65, 16, 84], Operations: []
Exploring Operation: 84-65=19, Resulting Numbers: [19, 16, 19]
Generated Node #0,0: 37:[19, 16, 19] Operation: 84-65=19
Exploring Operation: 19+16=35, Resulting Numbers: [65, 84, 35]
Generated Node #0,1: 37:[65, 84, 35] Operation: 19+16=35
Exploring Operation: 65-19=46, Resulting Numbers: [16, 84, 46]
Generated Node #0,2: 37:[16, 84, 46] Operation: 65-19=46
Moving to Node #0,0
Current State: 37:[19, 16, 19], Operations: ['84-65=19']
Exploring Operation: 16+19=35, Resulting Numbers: [19, 35]
Generated Node #0,0,0: 37:[19, 35] Operation: 16+19=35
Exploring Operation: 19+16=35, Resulting Numbers: [19, 35]
Generated Node #0,0,1: 37:[19, 35] Operation: 19+16=35
Exploring Operation: 19+19=38, Resulting Numbers: [16, 38]
Generated Node #0,0,2: 37:[16, 38] Operation: 19+19=38
Moving to Node #0,1
Current State: 37:[65, 84, 35], Operations: ['19+16=35']
Exploring Operation: 84-65=19, Resulting Numbers: [35, 19]
Generated Node #0,1,0: 37:[35, 19] Operation: 84-65=19
Exploring Operation: 84-35=49, Resulting Numbers: [65, 49]
Generated Node #0,1,1: 37:[65, 49] Operation: 84-35=49
Exploring Operation: 65-35=30, Resulting Numbers: [84, 30]
Generated Node #0,1,2: 37:[84, 30] Operation: 65-35=30
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 37:[35, 19], Operations: ['19+16=35', '84-65=19']
Exploring Operation: 35*19=665, Resulting Numbers: [665]
665,37 unequal: No Solution
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,37 unequal: No Solution
Exploring Operation: 35+19=54, Resulting Numbers: [54]
54,37 unequal: No Solution
No 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: 37:[65, 49], Operations: ['19+16=35', '84-35=49']
Exploring Operation: 65*49=3185, Resulting Numbers: [3185]
3185,37 unequal: No Solution
Exploring Operation: 65+49=114, Resulting Numbers: [114]
114,37 unequal: No Solution
Exploring Operation: 65-49=16, Resulting Numbers: [16]
16,37 unequal: No Solution
No 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: 37:[84, 30], Operations: ['19+16=35', '65-35=30']
Exploring Operation: 84-30=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 84+30=114, Resulting Numbers: [114]
114,37 unequal: No Solution
Exploring Operation: 84*30=2520, Resulting Numbers: [2520]
2520,37 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: 37:[16, 84, 46], Operations: ['65-19=46']
Exploring Operation: 84-16=68, Resulting Numbers: [46, 68]
Generated Node #0,2,0: 37:[46, 68] Operation: 84-16=68
Exploring Operation: 84-46=38, Resulting Numbers: [16, 38]
Generated Node #0,2,1: 37:[16, 38] Operation: 84-46=38
Exploring Operation: 46-16=30, Resulting Numbers: [84, 30]
Generated Node #0,2,2: 37:[84, 30] Operation: 46-16=30
Moving to Node #0,0,0
Current State: 37:[19, 35], Operations: ['84-65=19', '16+19=35']
Exploring Operation: 19+35=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 19*35=665, Resulting Numbers: [665]
665,37 unequal: No Solution
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[19, 35], Operations: ['84-65=19', '19+16=35']
Exploring Operation: 19*35=665, Resulting Numbers: [665]
665,37 unequal: No Solution
Exploring Operation: 19+35=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,37 unequal: No Solution
Moving to Node #0,0,2
Current State: 37:[16, 38], Operations: ['84-65=19', '19+19=38']
Exploring Operation: 16+38=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 16*38=608, Resulting Numbers: [608]
608,37 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,37 unequal: No Solution
Moving to Node #0,2,1
Current State: 37:[16, 38], Operations: ['65-19=46', '84-46=38']
Exploring Operation: 16*38=608, Resulting Numbers: [608]
608,37 unequal: No Solution
Exploring Operation: 16+38=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,37 unequal: No Solution
Moving to Node #0,2,0
Current State: 37:[46, 68], Operations: ['65-19=46', '84-16=68']
Exploring Operation: 46*68=3128, Resulting Numbers: [3128]
3128,37 unequal: No Solution
Exploring Operation: 68-46=22, Resulting Numbers: [22]
22,37 unequal: No Solution
Exploring Operation: 46+68=114, Resulting Numbers: [114]
114,37 unequal: No Solution
Moving to Node #0,2,2
Current State: 37:[84, 30], Operations: ['65-19=46', '46-16=30']
Exploring Operation: 84*30=2520, Resulting Numbers: [2520]
2520,37 unequal: No Solution
Exploring Operation: 84-30=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 84+30=114, Resulting Numbers: [114]
114,37 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
82,
6,
63,
11
] | 48 | [
"82-63=19",
"19-11=8",
"6*8=48"
] | Current State: 48:[82, 6, 63, 11], Operations: []
Exploring Operation: 82-63=19, Resulting Numbers: [6, 11, 19]
Generated Node #2: [6, 11, 19] from Operation: 82-63=19
Current State: 48:[6, 11, 19], Operations: ['82-63=19']
Exploring Operation: 19-11=8, Resulting Numbers: [6, 8]
Generated Node #3: [6, 8] from Operation: 19-11=8
Current State: 48:[6, 8], Operations: ['82-63=19', '19-11=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[82, 6, 63, 11], Operations: []
Exploring Operation: 63-11=52, Resulting Numbers: [82, 6, 52]
Generated Node #0,0: 48:[82, 6, 52] Operation: 63-11=52
Exploring Operation: 82-11=71, Resulting Numbers: [6, 63, 71]
Generated Node #0,1: 48:[6, 63, 71] Operation: 82-11=71
Exploring Operation: 82-6=76, Resulting Numbers: [63, 11, 76]
Generated Node #0,2: 48:[63, 11, 76] Operation: 82-6=76
Exploring Operation: 82-63=19, Resulting Numbers: [6, 11, 19]
Generated Node #0,3: 48:[6, 11, 19] Operation: 82-63=19
Moving to Node #0,3
Current State: 48:[6, 11, 19], Operations: ['82-63=19']
Exploring Operation: 6+19=25, Resulting Numbers: [11, 25]
Generated Node #0,3,0: 48:[11, 25] Operation: 6+19=25
Exploring Operation: 6+11=17, Resulting Numbers: [19, 17]
Generated Node #0,3,1: 48:[19, 17] Operation: 6+11=17
Exploring Operation: 19-6=13, Resulting Numbers: [11, 13]
Generated Node #0,3,2: 48:[11, 13] Operation: 19-6=13
Exploring Operation: 19-11=8, Resulting Numbers: [6, 8]
Generated Node #0,3,3: 48:[6, 8] Operation: 19-11=8
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 48:[6, 8], Operations: ['82-63=19', '19-11=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[82, 6, 63, 11], Operations: []
Exploring Operation: 82-63=19, Resulting Numbers: [6, 11, 19]
Generated Node #0,3: 48:[6, 11, 19] Operation: 82-63=19
Moving to Node #0,3
Current State: 48:[6, 11, 19], Operations: ['82-63=19']
Exploring Operation: 19-11=8, Resulting Numbers: [6, 8]
Generated Node #0,3,3: 48:[6, 8] Operation: 19-11=8
Moving to Node #0,3,3
Current State: 48:[6, 8], Operations: ['82-63=19', '19-11=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
86,
30,
60,
72
] | 61 | [
"30*60=1800",
"1800/72=25",
"86-25=61"
] | Current State: 61:[86, 30, 60, 72], Operations: []
Exploring Operation: 30*60=1800, Resulting Numbers: [86, 72, 1800]
Generated Node #2: [86, 72, 1800] from Operation: 30*60=1800
Current State: 61:[86, 72, 1800], Operations: ['30*60=1800']
Exploring Operation: 1800/72=25, Resulting Numbers: [86, 25]
Generated Node #3: [86, 25] from Operation: 1800/72=25
Current State: 61:[86, 25], Operations: ['30*60=1800', '1800/72=25']
Exploring Operation: 86-25=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[86, 30, 60, 72], Operations: []
Exploring Operation: 72-30=42, Resulting Numbers: [86, 60, 42]
Generated Node #0,0: 61:[86, 60, 42] Operation: 72-30=42
Exploring Operation: 30+60=90, Resulting Numbers: [86, 72, 90]
Generated Node #0,1: 61:[86, 72, 90] Operation: 30+60=90
Exploring Operation: 60-30=30, Resulting Numbers: [86, 72, 30]
Generated Node #0,2: 61:[86, 72, 30] Operation: 60-30=30
Exploring Operation: 86+30=116, Resulting Numbers: [60, 72, 116]
Generated Node #0,3: 61:[60, 72, 116] Operation: 86+30=116
Exploring Operation: 86-30=56, Resulting Numbers: [60, 72, 56]
Generated Node #0,4: 61:[60, 72, 56] Operation: 86-30=56
Moving to Node #0,4
Current State: 61:[60, 72, 56], Operations: ['86-30=56']
Exploring Operation: 72-56=16, Resulting Numbers: [60, 16]
Generated Node #0,4,0: 61:[60, 16] Operation: 72-56=16
Exploring Operation: 72+56=128, Resulting Numbers: [60, 128]
Generated Node #0,4,1: 61:[60, 128] Operation: 72+56=128
Exploring Operation: 72-60=12, Resulting Numbers: [56, 12]
Generated Node #0,4,2: 61:[56, 12] Operation: 72-60=12
Exploring Operation: 60+56=116, Resulting Numbers: [72, 116]
Generated Node #0,4,3: 61:[72, 116] Operation: 60+56=116
Exploring Operation: 60-56=4, Resulting Numbers: [72, 4]
Generated Node #0,4,4: 61:[72, 4] Operation: 60-56=4
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 61:[60, 16], Operations: ['86-30=56', '72-56=16']
Exploring Operation: 60+16=76, Resulting Numbers: [76]
76,61 unequal: No Solution
Exploring Operation: 60-16=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 60*16=960, Resulting Numbers: [960]
960,61 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 #0,4,2
Current State: 61:[56, 12], Operations: ['86-30=56', '72-60=12']
Exploring Operation: 56+12=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Exploring Operation: 56*12=672, Resulting Numbers: [672]
672,61 unequal: No Solution
Exploring Operation: 56-12=44, Resulting Numbers: [44]
44,61 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 #0,4,3
Current State: 61:[72, 116], Operations: ['86-30=56', '60+56=116']
Exploring Operation: 116-72=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 72*116=8352, Resulting Numbers: [8352]
8352,61 unequal: No Solution
Exploring Operation: 72+116=188, Resulting Numbers: [188]
188,61 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 #0,4,1
Current State: 61:[60, 128], Operations: ['86-30=56', '72+56=128']
Exploring Operation: 128-60=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Exploring Operation: 60+128=188, Resulting Numbers: [188]
188,61 unequal: No Solution
Exploring Operation: 60*128=7680, Resulting Numbers: [7680]
7680,61 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 #0,4,4
Current State: 61:[72, 4], Operations: ['86-30=56', '60-56=4']
Exploring Operation: 72+4=76, Resulting Numbers: [76]
76,61 unequal: No Solution
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Exploring Operation: 72*4=288, Resulting Numbers: [288]
288,61 unequal: No Solution
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,61 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:[86, 60, 42], Operations: ['72-30=42']
Exploring Operation: 86+42=128, Resulting Numbers: [60, 128]
Generated Node #0,0,0: 61:[60, 128] Operation: 86+42=128
Exploring Operation: 86-42=44, Resulting Numbers: [60, 44]
Generated Node #0,0,1: 61:[60, 44] Operation: 86-42=44
Exploring Operation: 86-60=26, Resulting Numbers: [42, 26]
Generated Node #0,0,2: 61:[42, 26] Operation: 86-60=26
Exploring Operation: 60+42=102, Resulting Numbers: [86, 102]
Generated Node #0,0,3: 61:[86, 102] Operation: 60+42=102
Exploring Operation: 60-42=18, Resulting Numbers: [86, 18]
Generated Node #0,0,4: 61:[86, 18] Operation: 60-42=18
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 61:[60, 44], Operations: ['72-30=42', '86-42=44']
Exploring Operation: 60+44=104, Resulting Numbers: [104]
104,61 unequal: No Solution
Exploring Operation: 60-44=16, Resulting Numbers: [16]
16,61 unequal: No Solution
Exploring Operation: 60*44=2640, Resulting Numbers: [2640]
2640,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 61:[42, 26], Operations: ['72-30=42', '86-60=26']
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,61 unequal: No Solution
Exploring Operation: 42+26=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Exploring Operation: 42*26=1092, Resulting Numbers: [1092]
1092,61 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 #0,0,3
Current State: 61:[86, 102], Operations: ['72-30=42', '60+42=102']
Exploring Operation: 86*102=8772, Resulting Numbers: [8772]
8772,61 unequal: No Solution
Exploring Operation: 86+102=188, Resulting Numbers: [188]
188,61 unequal: No Solution
Exploring Operation: 102-86=16, Resulting Numbers: [16]
16,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[60, 128], Operations: ['72-30=42', '86+42=128']
Exploring Operation: 60*128=7680, Resulting Numbers: [7680]
7680,61 unequal: No Solution
Exploring Operation: 128-60=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Exploring Operation: 60+128=188, Resulting Numbers: [188]
188,61 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 #0,0,4
Current State: 61:[86, 18], Operations: ['72-30=42', '60-42=18']
Exploring Operation: 86+18=104, Resulting Numbers: [104]
104,61 unequal: No Solution
Exploring Operation: 86*18=1548, Resulting Numbers: [1548]
1548,61 unequal: No Solution
Exploring Operation: 86-18=68, Resulting Numbers: [68]
68,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 61:[86, 72, 90], Operations: ['30+60=90']
Exploring Operation: 86-72=14, Resulting Numbers: [90, 14]
Generated Node #0,1,0: 61:[90, 14] Operation: 86-72=14
Exploring Operation: 90-86=4, Resulting Numbers: [72, 4]
Generated Node #0,1,1: 61:[72, 4] Operation: 90-86=4
Exploring Operation: 86+72=158, Resulting Numbers: [90, 158]
Generated Node #0,1,2: 61:[90, 158] Operation: 86+72=158
Exploring Operation: 90-72=18, Resulting Numbers: [86, 18]
Generated Node #0,1,3: 61:[86, 18] Operation: 90-72=18
Exploring Operation: 86+90=176, Resulting Numbers: [72, 176]
Generated Node #0,1,4: 61:[72, 176] Operation: 86+90=176
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 61:[72, 4], Operations: ['30+60=90', '90-86=4']
Exploring Operation: 72*4=288, Resulting Numbers: [288]
288,61 unequal: No Solution
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Exploring Operation: 72+4=76, Resulting Numbers: [76]
76,61 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 #0,1,3
Current State: 61:[86, 18], Operations: ['30+60=90', '90-72=18']
Exploring Operation: 86*18=1548, Resulting Numbers: [1548]
1548,61 unequal: No Solution
Exploring Operation: 86+18=104, Resulting Numbers: [104]
104,61 unequal: No Solution
Exploring Operation: 86-18=68, Resulting Numbers: [68]
68,61 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 #0,1,0
Current State: 61:[90, 14], Operations: ['30+60=90', '86-72=14']
Exploring Operation: 90-14=76, Resulting Numbers: [76]
76,61 unequal: No Solution
Exploring Operation: 90*14=1260, Resulting Numbers: [1260]
1260,61 unequal: No Solution
Exploring Operation: 90+14=104, Resulting Numbers: [104]
104,61 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 #0,1,2
Current State: 61:[90, 158], Operations: ['30+60=90', '86+72=158']
Exploring Operation: 90*158=14220, Resulting Numbers: [14220]
14220,61 unequal: No Solution
Exploring Operation: 90+158=248, Resulting Numbers: [248]
248,61 unequal: No Solution
Exploring Operation: 158-90=68, Resulting Numbers: [68]
68,61 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 #0,1,4
Current State: 61:[72, 176], Operations: ['30+60=90', '86+90=176']
Exploring Operation: 176-72=104, Resulting Numbers: [104]
104,61 unequal: No Solution
Exploring Operation: 72+176=248, Resulting Numbers: [248]
248,61 unequal: No Solution
Exploring Operation: 72*176=12672, Resulting Numbers: [12672]
12672,61 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: 61:[86, 72, 30], Operations: ['60-30=30']
Exploring Operation: 72+30=102, Resulting Numbers: [86, 102]
Generated Node #0,2,0: 61:[86, 102] Operation: 72+30=102
Exploring Operation: 86-72=14, Resulting Numbers: [30, 14]
Generated Node #0,2,1: 61:[30, 14] Operation: 86-72=14
Exploring Operation: 72-30=42, Resulting Numbers: [86, 42]
Generated Node #0,2,2: 61:[86, 42] Operation: 72-30=42
Exploring Operation: 86+30=116, Resulting Numbers: [72, 116]
Generated Node #0,2,3: 61:[72, 116] Operation: 86+30=116
Exploring Operation: 86-30=56, Resulting Numbers: [72, 56]
Generated Node #0,2,4: 61:[72, 56] Operation: 86-30=56
Moving to Node #0,3
Current State: 61:[60, 72, 116], Operations: ['86+30=116']
Exploring Operation: 60+72=132, Resulting Numbers: [116, 132]
Generated Node #0,3,0: 61:[116, 132] Operation: 60+72=132
Exploring Operation: 72-60=12, Resulting Numbers: [116, 12]
Generated Node #0,3,1: 61:[116, 12] Operation: 72-60=12
Exploring Operation: 60+116=176, Resulting Numbers: [72, 176]
Generated Node #0,3,2: 61:[72, 176] Operation: 60+116=176
Exploring Operation: 116-60=56, Resulting Numbers: [72, 56]
Generated Node #0,3,3: 61:[72, 56] Operation: 116-60=56
Exploring Operation: 116-72=44, Resulting Numbers: [60, 44]
Generated Node #0,3,4: 61:[60, 44] Operation: 116-72=44
Moving to Node #0,2,4
Current State: 61:[72, 56], Operations: ['60-30=30', '86-30=56']
Exploring Operation: 72-56=16, Resulting Numbers: [16]
16,61 unequal: No Solution
Exploring Operation: 72+56=128, Resulting Numbers: [128]
128,61 unequal: No Solution
Exploring Operation: 72*56=4032, Resulting Numbers: [4032]
4032,61 unequal: No Solution
Moving to Node #0,3,3
Current State: 61:[72, 56], Operations: ['86+30=116', '116-60=56']
Exploring Operation: 72*56=4032, Resulting Numbers: [4032]
4032,61 unequal: No Solution
Exploring Operation: 72+56=128, Resulting Numbers: [128]
128,61 unequal: No Solution
Exploring Operation: 72-56=16, Resulting Numbers: [16]
16,61 unequal: No Solution
Moving to Node #0,3,4
Current State: 61:[60, 44], Operations: ['86+30=116', '116-72=44']
Exploring Operation: 60+44=104, Resulting Numbers: [104]
104,61 unequal: No Solution
Exploring Operation: 60-44=16, Resulting Numbers: [16]
16,61 unequal: No Solution
Exploring Operation: 60*44=2640, Resulting Numbers: [2640]
2640,61 unequal: No Solution
Moving to Node #0,2,2
Current State: 61:[86, 42], Operations: ['60-30=30', '72-30=42']
Exploring Operation: 86+42=128, Resulting Numbers: [128]
128,61 unequal: No Solution
Exploring Operation: 86-42=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 86*42=3612, Resulting Numbers: [3612]
3612,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[86, 102], Operations: ['60-30=30', '72+30=102']
Exploring Operation: 102-86=16, Resulting Numbers: [16]
16,61 unequal: No Solution
Exploring Operation: 86+102=188, Resulting Numbers: [188]
188,61 unequal: No Solution
Exploring Operation: 86*102=8772, Resulting Numbers: [8772]
8772,61 unequal: No Solution
Moving to Node #0,2,3
Current State: 61:[72, 116], Operations: ['60-30=30', '86+30=116']
Exploring Operation: 72*116=8352, Resulting Numbers: [8352]
8352,61 unequal: No Solution
Exploring Operation: 116-72=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 72+116=188, Resulting Numbers: [188]
188,61 unequal: No Solution
Moving to Node #0,2,1
Current State: 61:[30, 14], Operations: ['60-30=30', '86-72=14']
Exploring Operation: 30+14=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 30*14=420, Resulting Numbers: [420]
420,61 unequal: No Solution
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,61 unequal: No Solution
Moving to Node #0,3,1
Current State: 61:[116, 12], Operations: ['86+30=116', '72-60=12']
Exploring Operation: 116*12=1392, Resulting Numbers: [1392]
1392,61 unequal: No Solution
Exploring Operation: 116-12=104, Resulting Numbers: [104]
104,61 unequal: No Solution
Exploring Operation: 116+12=128, Resulting Numbers: [128]
128,61 unequal: No Solution
Moving to Node #0,3,2
Current State: 61:[72, 176], Operations: ['86+30=116', '60+116=176']
Exploring Operation: 176-72=104, Resulting Numbers: [104]
104,61 unequal: No Solution
Exploring Operation: 72*176=12672, Resulting Numbers: [12672]
12672,61 unequal: No Solution
Exploring Operation: 72+176=248, Resulting Numbers: [248]
248,61 unequal: No Solution
Moving to Node #0,3,0
Current State: 61:[116, 132], Operations: ['86+30=116', '60+72=132']
Exploring Operation: 116+132=248, Resulting Numbers: [248]
248,61 unequal: No Solution
Exploring Operation: 132-116=16, Resulting Numbers: [16]
16,61 unequal: No Solution
Exploring Operation: 116*132=15312, Resulting Numbers: [15312]
15312,61 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
66,
88,
30,
55
] | 95 | [
"88*30=2640",
"2640/66=40",
"55+40=95"
] | Current State: 95:[66, 88, 30, 55], Operations: []
Exploring Operation: 88*30=2640, Resulting Numbers: [66, 55, 2640]
Generated Node #2: [66, 55, 2640] from Operation: 88*30=2640
Current State: 95:[66, 55, 2640], Operations: ['88*30=2640']
Exploring Operation: 2640/66=40, Resulting Numbers: [55, 40]
Generated Node #3: [55, 40] from Operation: 2640/66=40
Current State: 95:[55, 40], Operations: ['88*30=2640', '2640/66=40']
Exploring Operation: 55+40=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[66, 88, 30, 55], Operations: []
Exploring Operation: 55-30=25, Resulting Numbers: [66, 88, 25]
Generated Node #0,0: 95:[66, 88, 25] Operation: 55-30=25
Exploring Operation: 66-55=11, Resulting Numbers: [88, 30, 11]
Generated Node #0,1: 95:[88, 30, 11] Operation: 66-55=11
Moving to Node #0,1
Current State: 95:[88, 30, 11], Operations: ['66-55=11']
Exploring Operation: 30-11=19, Resulting Numbers: [88, 19]
Generated Node #0,1,0: 95:[88, 19] Operation: 30-11=19
Exploring Operation: 88/11=8, Resulting Numbers: [30, 8]
Generated Node #0,1,1: 95:[30, 8] Operation: 88/11=8
Moving to Node #0,0
Current State: 95:[66, 88, 25], Operations: ['55-30=25']
Exploring Operation: 88-66=22, Resulting Numbers: [25, 22]
Generated Node #0,0,0: 95:[25, 22] Operation: 88-66=22
Exploring Operation: 66+25=91, Resulting Numbers: [88, 91]
Generated Node #0,0,1: 95:[88, 91] Operation: 66+25=91
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[25, 22], Operations: ['55-30=25', '88-66=22']
Exploring Operation: 25-22=3, Resulting Numbers: [3]
3,95 unequal: No Solution
Exploring Operation: 25+22=47, Resulting Numbers: [47]
47,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[88, 91], Operations: ['55-30=25', '66+25=91']
Exploring Operation: 88+91=179, Resulting Numbers: [179]
179,95 unequal: No Solution
Exploring Operation: 91-88=3, Resulting Numbers: [3]
3,95 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: 95:[88, 19], Operations: ['66-55=11', '30-11=19']
Exploring Operation: 88-19=69, Resulting Numbers: [69]
69,95 unequal: No Solution
Exploring Operation: 88+19=107, Resulting Numbers: [107]
107,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[30, 8], Operations: ['66-55=11', '88/11=8']
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,95 unequal: No Solution
Exploring Operation: 30+8=38, Resulting Numbers: [38]
38,95 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
20,
51,
76,
2
] | 66 | [
"20+51=71",
"2*71=142",
"142-76=66"
] | Current State: 66:[20, 51, 76, 2], Operations: []
Exploring Operation: 20+51=71, Resulting Numbers: [76, 2, 71]
Generated Node #2: [76, 2, 71] from Operation: 20+51=71
Current State: 66:[76, 2, 71], Operations: ['20+51=71']
Exploring Operation: 2*71=142, Resulting Numbers: [76, 142]
Generated Node #3: [76, 142] from Operation: 2*71=142
Current State: 66:[76, 142], Operations: ['20+51=71', '2*71=142']
Exploring Operation: 142-76=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[20, 51, 76, 2], Operations: []
Exploring Operation: 20+51=71, Resulting Numbers: [76, 2, 71]
Generated Node #0,0: 66:[76, 2, 71] Operation: 20+51=71
Exploring Operation: 76-51=25, Resulting Numbers: [20, 2, 25]
Generated Node #0,1: 66:[20, 2, 25] Operation: 76-51=25
Exploring Operation: 51-20=31, Resulting Numbers: [76, 2, 31]
Generated Node #0,2: 66:[76, 2, 31] Operation: 51-20=31
Exploring Operation: 76/2=38, Resulting Numbers: [20, 51, 38]
Generated Node #0,3: 66:[20, 51, 38] Operation: 76/2=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[20, 2, 25], Operations: ['76-51=25']
Exploring Operation: 25-2=23, Resulting Numbers: [20, 23]
Generated Node #0,1,0: 66:[20, 23] Operation: 25-2=23
Exploring Operation: 25-20=5, Resulting Numbers: [2, 5]
Generated Node #0,1,1: 66:[2, 5] Operation: 25-20=5
Exploring Operation: 20/2=10, Resulting Numbers: [25, 10]
Generated Node #0,1,2: 66:[25, 10] Operation: 20/2=10
Exploring Operation: 20+2=22, Resulting Numbers: [25, 22]
Generated Node #0,1,3: 66:[25, 22] Operation: 20+2=22
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 66:[2, 5], Operations: ['76-51=25', '25-20=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,66 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,66 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 #0,1,0
Current State: 66:[20, 23], Operations: ['76-51=25', '25-2=23']
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 20*23=460, Resulting Numbers: [460]
460,66 unequal: No Solution
Exploring Operation: 20+23=43, Resulting Numbers: [43]
43,66 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:[25, 22], Operations: ['76-51=25', '20+2=22']
Exploring Operation: 25+22=47, Resulting Numbers: [47]
47,66 unequal: No Solution
Exploring Operation: 25-22=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 25*22=550, Resulting Numbers: [550]
550,66 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:[25, 10], Operations: ['76-51=25', '20/2=10']
Exploring Operation: 25*10=250, Resulting Numbers: [250]
250,66 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,66 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 #0,2
Current State: 66:[76, 2, 31], Operations: ['51-20=31']
Exploring Operation: 76/2=38, Resulting Numbers: [31, 38]
Generated Node #0,2,0: 66:[31, 38] Operation: 76/2=38
Exploring Operation: 76-31=45, Resulting Numbers: [2, 45]
Generated Node #0,2,1: 66:[2, 45] Operation: 76-31=45
Exploring Operation: 2+31=33, Resulting Numbers: [76, 33]
Generated Node #0,2,2: 66:[76, 33] Operation: 2+31=33
Exploring Operation: 76-2=74, Resulting Numbers: [31, 74]
Generated Node #0,2,3: 66:[31, 74] Operation: 76-2=74
Moving to Node #0,2,0
Current State: 66:[31, 38], Operations: ['51-20=31', '76/2=38']
Exploring Operation: 38-31=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 31+38=69, Resulting Numbers: [69]
69,66 unequal: No Solution
Exploring Operation: 31*38=1178, Resulting Numbers: [1178]
1178,66 unequal: No Solution
Moving to Node #0,2,3
Current State: 66:[31, 74], Operations: ['51-20=31', '76-2=74']
Exploring Operation: 31+74=105, Resulting Numbers: [105]
105,66 unequal: No Solution
Exploring Operation: 74-31=43, Resulting Numbers: [43]
43,66 unequal: No Solution
Exploring Operation: 31*74=2294, Resulting Numbers: [2294]
2294,66 unequal: No Solution
Moving to Node #0,2,2
Current State: 66:[76, 33], Operations: ['51-20=31', '2+31=33']
Exploring Operation: 76+33=109, Resulting Numbers: [109]
109,66 unequal: No Solution
Exploring Operation: 76-33=43, Resulting Numbers: [43]
43,66 unequal: No Solution
Exploring Operation: 76*33=2508, Resulting Numbers: [2508]
2508,66 unequal: No Solution
Moving to Node #0,2,1
Current State: 66:[2, 45], Operations: ['51-20=31', '76-31=45']
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,66 unequal: No Solution
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,66 unequal: No Solution
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[76, 2, 71], Operations: ['20+51=71']
Exploring Operation: 76/2=38, Resulting Numbers: [71, 38]
Generated Node #0,0,0: 66:[71, 38] Operation: 76/2=38
Exploring Operation: 76-2=74, Resulting Numbers: [71, 74]
Generated Node #0,0,1: 66:[71, 74] Operation: 76-2=74
Exploring Operation: 71-2=69, Resulting Numbers: [76, 69]
Generated Node #0,0,2: 66:[76, 69] Operation: 71-2=69
Exploring Operation: 76-71=5, Resulting Numbers: [2, 5]
Generated Node #0,0,3: 66:[2, 5] Operation: 76-71=5
Moving to Node #0,0,3
Current State: 66:[2, 5], Operations: ['20+51=71', '76-71=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,66 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Moving to Node #0,0,0
Current State: 66:[71, 38], Operations: ['20+51=71', '76/2=38']
Exploring Operation: 71+38=109, Resulting Numbers: [109]
109,66 unequal: No Solution
Exploring Operation: 71-38=33, Resulting Numbers: [33]
33,66 unequal: No Solution
Exploring Operation: 71*38=2698, Resulting Numbers: [2698]
2698,66 unequal: No Solution
Moving to Node #0,0,2
Current State: 66:[76, 69], Operations: ['20+51=71', '71-2=69']
Exploring Operation: 76-69=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 76+69=145, Resulting Numbers: [145]
145,66 unequal: No Solution
Exploring Operation: 76*69=5244, Resulting Numbers: [5244]
5244,66 unequal: No Solution
Moving to Node #0,0,1
Current State: 66:[71, 74], Operations: ['20+51=71', '76-2=74']
Exploring Operation: 71*74=5254, Resulting Numbers: [5254]
5254,66 unequal: No Solution
Exploring Operation: 71+74=145, Resulting Numbers: [145]
145,66 unequal: No Solution
Exploring Operation: 74-71=3, Resulting Numbers: [3]
3,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 66:[20, 51, 38], Operations: ['76/2=38']
Exploring Operation: 20+51=71, Resulting Numbers: [38, 71]
Generated Node #0,3,0: 66:[38, 71] Operation: 20+51=71
Exploring Operation: 38-20=18, Resulting Numbers: [51, 18]
Generated Node #0,3,1: 66:[51, 18] Operation: 38-20=18
Exploring Operation: 51-20=31, Resulting Numbers: [38, 31]
Generated Node #0,3,2: 66:[38, 31] Operation: 51-20=31
Exploring Operation: 51-38=13, Resulting Numbers: [20, 13]
Generated Node #0,3,3: 66:[20, 13] Operation: 51-38=13
Moving to Node #0,3,3
Current State: 66:[20, 13], Operations: ['76/2=38', '51-38=13']
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 20+13=33, Resulting Numbers: [33]
33,66 unequal: No Solution
Exploring Operation: 20*13=260, Resulting Numbers: [260]
260,66 unequal: No Solution
Moving to Node #0,3,2
Current State: 66:[38, 31], Operations: ['76/2=38', '51-20=31']
Exploring Operation: 38*31=1178, Resulting Numbers: [1178]
1178,66 unequal: No Solution
Exploring Operation: 38-31=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 38+31=69, Resulting Numbers: [69]
69,66 unequal: No Solution
Moving to Node #0,3,0
Current State: 66:[38, 71], Operations: ['76/2=38', '20+51=71']
Exploring Operation: 38*71=2698, Resulting Numbers: [2698]
2698,66 unequal: No Solution
Exploring Operation: 38+71=109, Resulting Numbers: [109]
109,66 unequal: No Solution
Exploring Operation: 71-38=33, Resulting Numbers: [33]
33,66 unequal: No Solution
Moving to Node #0,3,1
Current State: 66:[51, 18], Operations: ['76/2=38', '38-20=18']
Exploring Operation: 51+18=69, Resulting Numbers: [69]
69,66 unequal: No Solution
Exploring Operation: 51-18=33, Resulting Numbers: [33]
33,66 unequal: No Solution
Exploring Operation: 51*18=918, Resulting Numbers: [918]
918,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
74,
90,
6,
51
] | 76 | [
"51-6=45",
"90/45=2",
"74+2=76"
] | Current State: 76:[74, 90, 6, 51], Operations: []
Exploring Operation: 51-6=45, Resulting Numbers: [74, 90, 45]
Generated Node #2: [74, 90, 45] from Operation: 51-6=45
Current State: 76:[74, 90, 45], Operations: ['51-6=45']
Exploring Operation: 90/45=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 90/45=2
Current State: 76:[74, 2], Operations: ['51-6=45', '90/45=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[74, 90, 6, 51], Operations: []
Exploring Operation: 90-51=39, Resulting Numbers: [74, 6, 39]
Generated Node #0,0: 76:[74, 6, 39] Operation: 90-51=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[74, 6, 39], Operations: ['90-51=39']
Exploring Operation: 74+6=80, Resulting Numbers: [39, 80]
Generated Node #0,0,0: 76:[39, 80] Operation: 74+6=80
Moving to Node #0,0,0
Current State: 76:[39, 80], Operations: ['90-51=39', '74+6=80']
Exploring Operation: 80-39=41, Resulting Numbers: [41]
41,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
65,
54,
67,
82
] | 56 | [
"67-65=2",
"82-54=28",
"2*28=56"
] | Current State: 56:[65, 54, 67, 82], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [54, 82, 2]
Generated Node #2: [54, 82, 2] from Operation: 67-65=2
Current State: 56:[54, 82, 2], Operations: ['67-65=2']
Exploring Operation: 82-54=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 82-54=28
Current State: 56:[2, 28], Operations: ['67-65=2', '82-54=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[65, 54, 67, 82], Operations: []
Exploring Operation: 82-67=15, Resulting Numbers: [65, 54, 15]
Generated Node #0,0: 56:[65, 54, 15] Operation: 82-67=15
Exploring Operation: 82-65=17, Resulting Numbers: [54, 67, 17]
Generated Node #0,1: 56:[54, 67, 17] Operation: 82-65=17
Exploring Operation: 82-54=28, Resulting Numbers: [65, 67, 28]
Generated Node #0,2: 56:[65, 67, 28] Operation: 82-54=28
Moving to Node #0,0
Current State: 56:[65, 54, 15], Operations: ['82-67=15']
Exploring Operation: 65-15=50, Resulting Numbers: [54, 50]
Generated Node #0,0,0: 56:[54, 50] Operation: 65-15=50
Exploring Operation: 54-15=39, Resulting Numbers: [65, 39]
Generated Node #0,0,1: 56:[65, 39] Operation: 54-15=39
Exploring Operation: 65-54=11, Resulting Numbers: [15, 11]
Generated Node #0,0,2: 56:[15, 11] Operation: 65-54=11
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 56:[15, 11], Operations: ['82-67=15', '65-54=11']
Exploring Operation: 15*11=165, Resulting Numbers: [165]
165,56 unequal: No Solution
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[54, 50], Operations: ['82-67=15', '65-15=50']
Exploring Operation: 54-50=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 54*50=2700, Resulting Numbers: [2700]
2700,56 unequal: No Solution
Exploring Operation: 54+50=104, Resulting Numbers: [104]
104,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 56:[65, 39], Operations: ['82-67=15', '54-15=39']
Exploring Operation: 65-39=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Exploring Operation: 65*39=2535, Resulting Numbers: [2535]
2535,56 unequal: No Solution
Exploring Operation: 65+39=104, Resulting Numbers: [104]
104,56 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: 56:[54, 67, 17], Operations: ['82-65=17']
Exploring Operation: 67-17=50, Resulting Numbers: [54, 50]
Generated Node #0,1,0: 56:[54, 50] Operation: 67-17=50
Exploring Operation: 67-54=13, Resulting Numbers: [17, 13]
Generated Node #0,1,1: 56:[17, 13] Operation: 67-54=13
Exploring Operation: 54-17=37, Resulting Numbers: [67, 37]
Generated Node #0,1,2: 56:[67, 37] Operation: 54-17=37
Moving to Node #0,2
Current State: 56:[65, 67, 28], Operations: ['82-54=28']
Exploring Operation: 67-28=39, Resulting Numbers: [65, 39]
Generated Node #0,2,0: 56:[65, 39] Operation: 67-28=39
Exploring Operation: 67-65=2, Resulting Numbers: [28, 2]
Generated Node #0,2,1: 56:[28, 2] Operation: 67-65=2
Exploring Operation: 65-28=37, Resulting Numbers: [67, 37]
Generated Node #0,2,2: 56:[67, 37] Operation: 65-28=37
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 56:[28, 2], Operations: ['82-54=28', '67-65=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[65, 54, 67, 82], Operations: []
Exploring Operation: 82-54=28, Resulting Numbers: [65, 67, 28]
Generated Node #0,2: 56:[65, 67, 28] Operation: 82-54=28
Moving to Node #0,2
Current State: 56:[65, 67, 28], Operations: ['82-54=28']
Exploring Operation: 67-65=2, Resulting Numbers: [28, 2]
Generated Node #0,2,1: 56:[28, 2] Operation: 67-65=2
Moving to Node #0,2,1
Current State: 56:[28, 2], Operations: ['82-54=28', '67-65=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_3 | mult_heuristic |
[
15,
71,
41,
57
] | 59 | [
"71-41=30",
"30/15=2",
"57+2=59"
] | Current State: 59:[15, 71, 41, 57], Operations: []
Exploring Operation: 71-41=30, Resulting Numbers: [15, 57, 30]
Generated Node #2: [15, 57, 30] from Operation: 71-41=30
Current State: 59:[15, 57, 30], Operations: ['71-41=30']
Exploring Operation: 30/15=2, Resulting Numbers: [57, 2]
Generated Node #3: [57, 2] from Operation: 30/15=2
Current State: 59:[57, 2], Operations: ['71-41=30', '30/15=2']
Exploring Operation: 57+2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[15, 71, 41, 57], Operations: []
Exploring Operation: 71-15=56, Resulting Numbers: [41, 57, 56]
Generated Node #0,0: 59:[41, 57, 56] Operation: 71-15=56
Exploring Operation: 15+41=56, Resulting Numbers: [71, 57, 56]
Generated Node #0,1: 59:[71, 57, 56] Operation: 15+41=56
Moving to Node #0,1
Current State: 59:[71, 57, 56], Operations: ['15+41=56']
Exploring Operation: 71-56=15, Resulting Numbers: [57, 15]
Generated Node #0,1,0: 59:[57, 15] Operation: 71-56=15
Exploring Operation: 71-57=14, Resulting Numbers: [56, 14]
Generated Node #0,1,1: 59:[56, 14] Operation: 71-57=14
Moving to Node #0,0
Current State: 59:[41, 57, 56], Operations: ['71-15=56']
Exploring Operation: 41+57=98, Resulting Numbers: [56, 98]
Generated Node #0,0,0: 59:[56, 98] Operation: 41+57=98
Exploring Operation: 41+56=97, Resulting Numbers: [57, 97]
Generated Node #0,0,1: 59:[57, 97] Operation: 41+56=97
Moving to Node #0,0,1
Current State: 59:[57, 97], Operations: ['71-15=56', '41+56=97']
Exploring Operation: 97-57=40, Resulting Numbers: [40]
40,59 unequal: No Solution
Exploring Operation: 57+97=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[56, 98], Operations: ['71-15=56', '41+57=98']
Exploring Operation: 98-56=42, Resulting Numbers: [42]
42,59 unequal: No Solution
Exploring Operation: 56+98=154, Resulting Numbers: [154]
154,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[57, 15], Operations: ['15+41=56', '71-56=15']
Exploring Operation: 57-15=42, Resulting Numbers: [42]
42,59 unequal: No Solution
Exploring Operation: 57+15=72, Resulting Numbers: [72]
72,59 unequal: No Solution
Moving to Node #0,1,1
Current State: 59:[56, 14], Operations: ['15+41=56', '71-57=14']
Exploring Operation: 56+14=70, Resulting Numbers: [70]
70,59 unequal: No Solution
Exploring Operation: 56-14=42, Resulting Numbers: [42]
42,59 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
76,
1,
71,
95
] | 52 | [
"76*1=76",
"95-71=24",
"76-24=52"
] | Current State: 52:[76, 1, 71, 95], Operations: []
Exploring Operation: 76*1=76, Resulting Numbers: [71, 95, 76]
Generated Node #2: [71, 95, 76] from Operation: 76*1=76
Current State: 52:[71, 95, 76], Operations: ['76*1=76']
Exploring Operation: 95-71=24, Resulting Numbers: [76, 24]
Generated Node #3: [76, 24] from Operation: 95-71=24
Current State: 52:[76, 24], Operations: ['76*1=76', '95-71=24']
Exploring Operation: 76-24=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[76, 1, 71, 95], Operations: []
Exploring Operation: 95-76=19, Resulting Numbers: [1, 71, 19]
Generated Node #0,0: 52:[1, 71, 19] Operation: 95-76=19
Exploring Operation: 95-71=24, Resulting Numbers: [76, 1, 24]
Generated Node #0,1: 52:[76, 1, 24] Operation: 95-71=24
Moving to Node #0,0
Current State: 52:[1, 71, 19], Operations: ['95-76=19']
Exploring Operation: 71-1=70, Resulting Numbers: [19, 70]
Generated Node #0,0,0: 52:[19, 70] Operation: 71-1=70
Exploring Operation: 71-19=52, Resulting Numbers: [1, 52]
Generated Node #0,0,1: 52:[1, 52] Operation: 71-19=52
Moving to Node #0,1
Current State: 52:[76, 1, 24], Operations: ['95-71=24']
Exploring Operation: 76-24=52, Resulting Numbers: [1, 52]
Generated Node #0,1,0: 52:[1, 52] Operation: 76-24=52
Exploring Operation: 76-1=75, Resulting Numbers: [24, 75]
Generated Node #0,1,1: 52:[24, 75] Operation: 76-1=75
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 52:[1, 52], Operations: ['95-71=24', '76-24=52']
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[76, 1, 71, 95], Operations: []
Exploring Operation: 95-71=24, Resulting Numbers: [76, 1, 24]
Generated Node #0,1: 52:[76, 1, 24] Operation: 95-71=24
Moving to Node #0,1
Current State: 52:[76, 1, 24], Operations: ['95-71=24']
Exploring Operation: 76-24=52, Resulting Numbers: [1, 52]
Generated Node #0,1,0: 52:[1, 52] Operation: 76-24=52
Moving to Node #0,1,0
Current State: 52:[1, 52], Operations: ['95-71=24', '76-24=52']
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
80,
17,
2,
35
] | 73 | [
"80-35=45",
"2*45=90",
"90-17=73"
] | Current State: 73:[80, 17, 2, 35], Operations: []
Exploring Operation: 80-35=45, Resulting Numbers: [17, 2, 45]
Generated Node #2: [17, 2, 45] from Operation: 80-35=45
Current State: 73:[17, 2, 45], Operations: ['80-35=45']
Exploring Operation: 2*45=90, Resulting Numbers: [17, 90]
Generated Node #3: [17, 90] from Operation: 2*45=90
Current State: 73:[17, 90], Operations: ['80-35=45', '2*45=90']
Exploring Operation: 90-17=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[80, 17, 2, 35], Operations: []
Exploring Operation: 17*2=34, Resulting Numbers: [80, 35, 34]
Generated Node #0,0: 73:[80, 35, 34] Operation: 17*2=34
Exploring Operation: 80-2=78, Resulting Numbers: [17, 35, 78]
Generated Node #0,1: 73:[17, 35, 78] Operation: 80-2=78
Exploring Operation: 2*35=70, Resulting Numbers: [80, 17, 70]
Generated Node #0,2: 73:[80, 17, 70] Operation: 2*35=70
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[80, 17, 70], Operations: ['2*35=70']
Exploring Operation: 80+17=97, Resulting Numbers: [70, 97]
Generated Node #0,2,0: 73:[70, 97] Operation: 80+17=97
Exploring Operation: 80-17=63, Resulting Numbers: [70, 63]
Generated Node #0,2,1: 73:[70, 63] Operation: 80-17=63
Exploring Operation: 17+70=87, Resulting Numbers: [80, 87]
Generated Node #0,2,2: 73:[80, 87] Operation: 17+70=87
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 73:[70, 63], Operations: ['2*35=70', '80-17=63']
Exploring Operation: 70+63=133, Resulting Numbers: [133]
133,73 unequal: No Solution
Exploring Operation: 70*63=4410, Resulting Numbers: [4410]
4410,73 unequal: No Solution
Exploring Operation: 70-63=7, Resulting Numbers: [7]
7,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 73:[80, 87], Operations: ['2*35=70', '17+70=87']
Exploring Operation: 80*87=6960, Resulting Numbers: [6960]
6960,73 unequal: No Solution
Exploring Operation: 80+87=167, Resulting Numbers: [167]
167,73 unequal: No Solution
Exploring Operation: 87-80=7, Resulting Numbers: [7]
7,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 73:[70, 97], Operations: ['2*35=70', '80+17=97']
Exploring Operation: 70*97=6790, Resulting Numbers: [6790]
6790,73 unequal: No Solution
Exploring Operation: 97-70=27, Resulting Numbers: [27]
27,73 unequal: No Solution
Exploring Operation: 70+97=167, Resulting Numbers: [167]
167,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[80, 35, 34], Operations: ['17*2=34']
Exploring Operation: 35+34=69, Resulting Numbers: [80, 69]
Generated Node #0,0,0: 73:[80, 69] Operation: 35+34=69
Exploring Operation: 80-35=45, Resulting Numbers: [34, 45]
Generated Node #0,0,1: 73:[34, 45] Operation: 80-35=45
Exploring Operation: 80-34=46, Resulting Numbers: [35, 46]
Generated Node #0,0,2: 73:[35, 46] Operation: 80-34=46
Moving to Node #0,0,0
Current State: 73:[80, 69], Operations: ['17*2=34', '35+34=69']
Exploring Operation: 80*69=5520, Resulting Numbers: [5520]
5520,73 unequal: No Solution
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,73 unequal: No Solution
Exploring Operation: 80+69=149, Resulting Numbers: [149]
149,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[35, 46], Operations: ['17*2=34', '80-34=46']
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,73 unequal: No Solution
Exploring Operation: 35*46=1610, Resulting Numbers: [1610]
1610,73 unequal: No Solution
Exploring Operation: 35+46=81, Resulting Numbers: [81]
81,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[34, 45], Operations: ['17*2=34', '80-35=45']
Exploring Operation: 34*45=1530, Resulting Numbers: [1530]
1530,73 unequal: No Solution
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,73 unequal: No Solution
Exploring Operation: 34+45=79, Resulting Numbers: [79]
79,73 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
Current State: 73:[17, 35, 78], Operations: ['80-2=78']
Exploring Operation: 17+35=52, Resulting Numbers: [78, 52]
Generated Node #0,1,0: 73:[78, 52] Operation: 17+35=52
Exploring Operation: 78-17=61, Resulting Numbers: [35, 61]
Generated Node #0,1,1: 73:[35, 61] Operation: 78-17=61
Exploring Operation: 35-17=18, Resulting Numbers: [78, 18]
Generated Node #0,1,2: 73:[78, 18] Operation: 35-17=18
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 73:[78, 52], Operations: ['80-2=78', '17+35=52']
Exploring Operation: 78+52=130, Resulting Numbers: [130]
130,73 unequal: No Solution
Exploring Operation: 78*52=4056, Resulting Numbers: [4056]
4056,73 unequal: No Solution
Exploring Operation: 78-52=26, Resulting Numbers: [26]
26,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 73:[35, 61], Operations: ['80-2=78', '78-17=61']
Exploring Operation: 35+61=96, Resulting Numbers: [96]
96,73 unequal: No Solution
Exploring Operation: 61-35=26, Resulting Numbers: [26]
26,73 unequal: No Solution
Exploring Operation: 35*61=2135, Resulting Numbers: [2135]
2135,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 73:[78, 18], Operations: ['80-2=78', '35-17=18']
Exploring Operation: 78+18=96, Resulting Numbers: [96]
96,73 unequal: No Solution
Exploring Operation: 78*18=1404, Resulting Numbers: [1404]
1404,73 unequal: No Solution
Exploring Operation: 78-18=60, Resulting Numbers: [60]
60,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
39,
1,
40,
73
] | 73 | [
"39+1=40",
"40+73=113",
"113-40=73"
] | Current State: 73:[39, 1, 40, 73], Operations: []
Exploring Operation: 39+1=40, Resulting Numbers: [40, 73, 40]
Generated Node #2: [40, 73, 40] from Operation: 39+1=40
Current State: 73:[40, 73, 40], Operations: ['39+1=40']
Exploring Operation: 40+73=113, Resulting Numbers: [113]
113,73 equal: Goal Reached
Exploring Operation: 113-40=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[39, 1, 40, 73], Operations: []
Exploring Operation: 39/1=39, Resulting Numbers: [40, 73, 39]
Generated Node #0,0: 73:[40, 73, 39] Operation: 39/1=39
Exploring Operation: 39*1=39, Resulting Numbers: [40, 73, 39]
Generated Node #0,1: 73:[40, 73, 39] Operation: 39*1=39
Exploring Operation: 1+40=41, Resulting Numbers: [39, 73, 41]
Generated Node #0,2: 73:[39, 73, 41] Operation: 1+40=41
Exploring Operation: 39+1=40, Resulting Numbers: [40, 73, 40]
Generated Node #0,3: 73:[40, 73, 40] Operation: 39+1=40
Moving to Node #0,2
Current State: 73:[39, 73, 41], Operations: ['1+40=41']
Exploring Operation: 73-39=34, Resulting Numbers: [41, 34]
Generated Node #0,2,0: 73:[41, 34] Operation: 73-39=34
Exploring Operation: 39+41=80, Resulting Numbers: [73, 80]
Generated Node #0,2,1: 73:[73, 80] Operation: 39+41=80
Exploring Operation: 39+73=112, Resulting Numbers: [41, 112]
Generated Node #0,2,2: 73:[41, 112] Operation: 39+73=112
Exploring Operation: 41-39=2, Resulting Numbers: [73, 2]
Generated Node #0,2,3: 73:[73, 2] Operation: 41-39=2
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 73:[73, 80], Operations: ['1+40=41', '39+41=80']
Exploring Operation: 80-73=7, Resulting Numbers: [7]
7,73 unequal: No Solution
Exploring Operation: 73+80=153, Resulting Numbers: [153]
153,73 unequal: No Solution
Exploring Operation: 73*80=5840, Resulting Numbers: [5840]
5840,73 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 #0,2,0
Current State: 73:[41, 34], Operations: ['1+40=41', '73-39=34']
Exploring Operation: 41-34=7, Resulting Numbers: [7]
7,73 unequal: No Solution
Exploring Operation: 41*34=1394, Resulting Numbers: [1394]
1394,73 unequal: No Solution
Exploring Operation: 41+34=75, Resulting Numbers: [75]
75,73 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 #0,2,2
Current State: 73:[41, 112], Operations: ['1+40=41', '39+73=112']
Exploring Operation: 112-41=71, Resulting Numbers: [71]
71,73 unequal: No Solution
Exploring Operation: 41*112=4592, Resulting Numbers: [4592]
4592,73 unequal: No Solution
Exploring Operation: 41+112=153, Resulting Numbers: [153]
153,73 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 #0,2,3
Current State: 73:[73, 2], Operations: ['1+40=41', '41-39=2']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,73 unequal: No Solution
Exploring Operation: 73+2=75, Resulting Numbers: [75]
75,73 unequal: No Solution
Exploring Operation: 73*2=146, Resulting Numbers: [146]
146,73 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:[40, 73, 40], Operations: ['39+1=40']
Exploring Operation: 40+73=113, Resulting Numbers: [40, 113]
Generated Node #0,3,0: 73:[40, 113] Operation: 40+73=113
Exploring Operation: 73-40=33, Resulting Numbers: [40, 33]
Generated Node #0,3,1: 73:[40, 33] Operation: 73-40=33
Exploring Operation: 40+40=80, Resulting Numbers: [73, 80]
Generated Node #0,3,2: 73:[73, 80] Operation: 40+40=80
Exploring Operation: 40/40=1, Resulting Numbers: [73, 1]
Generated Node #0,3,3: 73:[73, 1] Operation: 40/40=1
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 73:[73, 80], Operations: ['39+1=40', '40+40=80']
Exploring Operation: 73*80=5840, Resulting Numbers: [5840]
5840,73 unequal: No Solution
Exploring Operation: 73+80=153, Resulting Numbers: [153]
153,73 unequal: No Solution
Exploring Operation: 80-73=7, Resulting Numbers: [7]
7,73 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:[73, 1], Operations: ['39+1=40', '40/40=1']
Exploring Operation: 73*1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[39, 1, 40, 73], Operations: []
Exploring Operation: 39+1=40, Resulting Numbers: [40, 73, 40]
Generated Node #0,3: 73:[40, 73, 40] Operation: 39+1=40
Moving to Node #0,3
Current State: 73:[40, 73, 40], Operations: ['39+1=40']
Exploring Operation: 40/40=1, Resulting Numbers: [73, 1]
Generated Node #0,3,3: 73:[73, 1] Operation: 40/40=1
Moving to Node #0,3,3
Current State: 73:[73, 1], Operations: ['39+1=40', '40/40=1']
Exploring Operation: 73*1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 | hs_4 | sum_heuristic |
[
9,
5,
60,
43
] | 21 | [
"9-5=4",
"60-43=17",
"4+17=21"
] | Current State: 21:[9, 5, 60, 43], Operations: []
Exploring Operation: 9-5=4, Resulting Numbers: [60, 43, 4]
Generated Node #2: [60, 43, 4] from Operation: 9-5=4
Current State: 21:[60, 43, 4], Operations: ['9-5=4']
Exploring Operation: 60-43=17, Resulting Numbers: [4, 17]
Generated Node #3: [4, 17] from Operation: 60-43=17
Current State: 21:[4, 17], Operations: ['9-5=4', '60-43=17']
Exploring Operation: 4+17=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[9, 5, 60, 43], Operations: []
Exploring Operation: 60-43=17, Resulting Numbers: [9, 5, 17]
Generated Node #0,0: 21:[9, 5, 17] Operation: 60-43=17
Exploring Operation: 60-9=51, Resulting Numbers: [5, 43, 51]
Generated Node #0,1: 21:[5, 43, 51] Operation: 60-9=51
Exploring Operation: 60/5=12, Resulting Numbers: [9, 43, 12]
Generated Node #0,2: 21:[9, 43, 12] Operation: 60/5=12
Exploring Operation: 43-9=34, Resulting Numbers: [5, 60, 34]
Generated Node #0,3: 21:[5, 60, 34] Operation: 43-9=34
Exploring Operation: 60-5=55, Resulting Numbers: [9, 43, 55]
Generated Node #0,4: 21:[9, 43, 55] Operation: 60-5=55
Moving to Node #0,0
Current State: 21:[9, 5, 17], Operations: ['60-43=17']
Exploring Operation: 17-9=8, Resulting Numbers: [5, 8]
Generated Node #0,0,0: 21:[5, 8] Operation: 17-9=8
Exploring Operation: 17-5=12, Resulting Numbers: [9, 12]
Generated Node #0,0,1: 21:[9, 12] Operation: 17-5=12
Exploring Operation: 5+17=22, Resulting Numbers: [9, 22]
Generated Node #0,0,2: 21:[9, 22] Operation: 5+17=22
Exploring Operation: 9+17=26, Resulting Numbers: [5, 26]
Generated Node #0,0,3: 21:[5, 26] Operation: 9+17=26
Exploring Operation: 9-5=4, Resulting Numbers: [17, 4]
Generated Node #0,0,4: 21:[17, 4] Operation: 9-5=4
Moving to Node #0,2
Current State: 21:[9, 43, 12], Operations: ['60/5=12']
Exploring Operation: 9+12=21, Resulting Numbers: [43, 21]
Generated Node #0,2,0: 21:[43, 21] Operation: 9+12=21
Exploring Operation: 9+43=52, Resulting Numbers: [12, 52]
Generated Node #0,2,1: 21:[12, 52] Operation: 9+43=52
Exploring Operation: 43-12=31, Resulting Numbers: [9, 31]
Generated Node #0,2,2: 21:[9, 31] Operation: 43-12=31
Exploring Operation: 43-9=34, Resulting Numbers: [12, 34]
Generated Node #0,2,3: 21:[12, 34] Operation: 43-9=34
Exploring Operation: 12-9=3, Resulting Numbers: [43, 3]
Generated Node #0,2,4: 21:[43, 3] Operation: 12-9=3
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 21:[9, 31], Operations: ['60/5=12', '43-12=31']
Exploring Operation: 9+31=40, Resulting Numbers: [40]
40,21 unequal: No Solution
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 9*31=279, Resulting Numbers: [279]
279,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 21:[12, 34], Operations: ['60/5=12', '43-9=34']
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 12+34=46, Resulting Numbers: [46]
46,21 unequal: No Solution
Exploring Operation: 12*34=408, Resulting Numbers: [408]
408,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 21:[43, 21], Operations: ['60/5=12', '9+12=21']
Exploring Operation: 43*21=903, Resulting Numbers: [903]
903,21 unequal: No Solution
Exploring Operation: 43+21=64, Resulting Numbers: [64]
64,21 unequal: No Solution
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 21:[43, 3], Operations: ['60/5=12', '12-9=3']
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,21 unequal: No Solution
Exploring Operation: 43*3=129, Resulting Numbers: [129]
129,21 unequal: No Solution
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 21:[12, 52], Operations: ['60/5=12', '9+43=52']
Exploring Operation: 52-12=40, Resulting Numbers: [40]
40,21 unequal: No Solution
Exploring Operation: 12+52=64, Resulting Numbers: [64]
64,21 unequal: No Solution
Exploring Operation: 12*52=624, Resulting Numbers: [624]
624,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 21:[5, 43, 51], Operations: ['60-9=51']
Exploring Operation: 51-5=46, Resulting Numbers: [43, 46]
Generated Node #0,1,0: 21:[43, 46] Operation: 51-5=46
Exploring Operation: 5+51=56, Resulting Numbers: [43, 56]
Generated Node #0,1,1: 21:[43, 56] Operation: 5+51=56
Exploring Operation: 51-43=8, Resulting Numbers: [5, 8]
Generated Node #0,1,2: 21:[5, 8] Operation: 51-43=8
Exploring Operation: 5+43=48, Resulting Numbers: [51, 48]
Generated Node #0,1,3: 21:[51, 48] Operation: 5+43=48
Exploring Operation: 43-5=38, Resulting Numbers: [51, 38]
Generated Node #0,1,4: 21:[51, 38] Operation: 43-5=38
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 21:[5, 8], Operations: ['60-9=51', '51-43=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,21 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,21 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 21:[43, 46], Operations: ['60-9=51', '51-5=46']
Exploring Operation: 43*46=1978, Resulting Numbers: [1978]
1978,21 unequal: No Solution
Exploring Operation: 43+46=89, Resulting Numbers: [89]
89,21 unequal: No Solution
Exploring Operation: 46-43=3, Resulting Numbers: [3]
3,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 21:[51, 38], Operations: ['60-9=51', '43-5=38']
Exploring Operation: 51+38=89, Resulting Numbers: [89]
89,21 unequal: No Solution
Exploring Operation: 51*38=1938, Resulting Numbers: [1938]
1938,21 unequal: No Solution
Exploring Operation: 51-38=13, Resulting Numbers: [13]
13,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 21:[43, 56], Operations: ['60-9=51', '5+51=56']
Exploring Operation: 56-43=13, Resulting Numbers: [13]
13,21 unequal: No Solution
Exploring Operation: 43+56=99, Resulting Numbers: [99]
99,21 unequal: No Solution
Exploring Operation: 43*56=2408, Resulting Numbers: [2408]
2408,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 21:[51, 48], Operations: ['60-9=51', '5+43=48']
Exploring Operation: 51+48=99, Resulting Numbers: [99]
99,21 unequal: No Solution
Exploring Operation: 51*48=2448, Resulting Numbers: [2448]
2448,21 unequal: No Solution
Exploring Operation: 51-48=3, Resulting Numbers: [3]
3,21 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: 21:[5, 60, 34], Operations: ['43-9=34']
Exploring Operation: 60/5=12, Resulting Numbers: [34, 12]
Generated Node #0,3,0: 21:[34, 12] Operation: 60/5=12
Exploring Operation: 5+60=65, Resulting Numbers: [34, 65]
Generated Node #0,3,1: 21:[34, 65] Operation: 5+60=65
Exploring Operation: 60-5=55, Resulting Numbers: [34, 55]
Generated Node #0,3,2: 21:[34, 55] Operation: 60-5=55
Exploring Operation: 34-5=29, Resulting Numbers: [60, 29]
Generated Node #0,3,3: 21:[60, 29] Operation: 34-5=29
Exploring Operation: 60-34=26, Resulting Numbers: [5, 26]
Generated Node #0,3,4: 21:[5, 26] Operation: 60-34=26
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 21:[5, 26], Operations: ['43-9=34', '60-34=26']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[9, 5, 60, 43], Operations: []
Exploring Operation: 43-9=34, Resulting Numbers: [5, 60, 34]
Generated Node #0,3: 21:[5, 60, 34] Operation: 43-9=34
Moving to Node #0,3
Current State: 21:[5, 60, 34], Operations: ['43-9=34']
Exploring Operation: 60-34=26, Resulting Numbers: [5, 26]
Generated Node #0,3,4: 21:[5, 26] Operation: 60-34=26
Moving to Node #0,3,4
Current State: 21:[5, 26], Operations: ['43-9=34', '60-34=26']
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.947917 | hs_5 | sum_heuristic |
[
12,
49,
89,
2
] | 92 | [
"89-49=40",
"2*40=80",
"12+80=92"
] | Current State: 92:[12, 49, 89, 2], Operations: []
Exploring Operation: 89-49=40, Resulting Numbers: [12, 2, 40]
Generated Node #2: [12, 2, 40] from Operation: 89-49=40
Current State: 92:[12, 2, 40], Operations: ['89-49=40']
Exploring Operation: 2*40=80, Resulting Numbers: [12, 80]
Generated Node #3: [12, 80] from Operation: 2*40=80
Current State: 92:[12, 80], Operations: ['89-49=40', '2*40=80']
Exploring Operation: 12+80=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[12, 49, 89, 2], Operations: []
Exploring Operation: 12*2=24, Resulting Numbers: [49, 89, 24]
Generated Node #0,0: 92:[49, 89, 24] Operation: 12*2=24
Exploring Operation: 12/2=6, Resulting Numbers: [49, 89, 6]
Generated Node #0,1: 92:[49, 89, 6] Operation: 12/2=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[49, 89, 24], Operations: ['12*2=24']
Exploring Operation: 89-49=40, Resulting Numbers: [24, 40]
Generated Node #0,0,0: 92:[24, 40] Operation: 89-49=40
Exploring Operation: 49-24=25, Resulting Numbers: [89, 25]
Generated Node #0,0,1: 92:[89, 25] Operation: 49-24=25
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 92:[89, 25], Operations: ['12*2=24', '49-24=25']
Exploring Operation: 89-25=64, Resulting Numbers: [64]
64,92 unequal: No Solution
Exploring Operation: 89+25=114, Resulting Numbers: [114]
114,92 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 #0,0,0
Current State: 92:[24, 40], Operations: ['12*2=24', '89-49=40']
Exploring Operation: 24+40=64, Resulting Numbers: [64]
64,92 unequal: No Solution
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[49, 89, 6], Operations: ['12/2=6']
Exploring Operation: 89+6=95, Resulting Numbers: [49, 95]
Generated Node #0,1,0: 92:[49, 95] Operation: 89+6=95
Exploring Operation: 49-6=43, Resulting Numbers: [89, 43]
Generated Node #0,1,1: 92:[89, 43] Operation: 49-6=43
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 92:[49, 95], Operations: ['12/2=6', '89+6=95']
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,92 unequal: No Solution
Exploring Operation: 49+95=144, Resulting Numbers: [144]
144,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 92:[89, 43], Operations: ['12/2=6', '49-6=43']
Exploring Operation: 89+43=132, Resulting Numbers: [132]
132,92 unequal: No Solution
Exploring Operation: 89-43=46, Resulting Numbers: [46]
46,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
89,
53,
50,
63
] | 78 | [
"89-63=26",
"53-50=3",
"26*3=78"
] | Current State: 78:[89, 53, 50, 63], Operations: []
Exploring Operation: 89-63=26, Resulting Numbers: [53, 50, 26]
Generated Node #2: [53, 50, 26] from Operation: 89-63=26
Current State: 78:[53, 50, 26], Operations: ['89-63=26']
Exploring Operation: 53-50=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 53-50=3
Current State: 78:[26, 3], Operations: ['89-63=26', '53-50=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[89, 53, 50, 63], Operations: []
Exploring Operation: 63-53=10, Resulting Numbers: [89, 50, 10]
Generated Node #0,0: 78:[89, 50, 10] Operation: 63-53=10
Exploring Operation: 89-63=26, Resulting Numbers: [53, 50, 26]
Generated Node #0,1: 78:[53, 50, 26] Operation: 89-63=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[89, 50, 10], Operations: ['63-53=10']
Exploring Operation: 89-50=39, Resulting Numbers: [10, 39]
Generated Node #0,0,0: 78:[10, 39] Operation: 89-50=39
Exploring Operation: 89-10=79, Resulting Numbers: [50, 79]
Generated Node #0,0,1: 78:[50, 79] Operation: 89-10=79
Moving to Node #0,0,0
Current State: 78:[10, 39], Operations: ['63-53=10', '89-50=39']
Exploring Operation: 10+39=49, Resulting Numbers: [49]
49,78 unequal: No Solution
Exploring Operation: 39-10=29, Resulting Numbers: [29]
29,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[50, 79], Operations: ['63-53=10', '89-10=79']
Exploring Operation: 79-50=29, Resulting Numbers: [29]
29,78 unequal: No Solution
Exploring Operation: 50+79=129, Resulting Numbers: [129]
129,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[53, 50, 26], Operations: ['89-63=26']
Exploring Operation: 53-50=3, Resulting Numbers: [26, 3]
Generated Node #0,1,0: 78:[26, 3] Operation: 53-50=3
Exploring Operation: 53+26=79, Resulting Numbers: [50, 79]
Generated Node #0,1,1: 78:[50, 79] Operation: 53+26=79
Moving to Node #0,1,0
Current State: 78:[26, 3], Operations: ['89-63=26', '53-50=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[89, 53, 50, 63], Operations: []
Exploring Operation: 89-63=26, Resulting Numbers: [53, 50, 26]
Generated Node #0,1: 78:[53, 50, 26] Operation: 89-63=26
Moving to Node #0,1
Current State: 78:[53, 50, 26], Operations: ['89-63=26']
Exploring Operation: 53-50=3, Resulting Numbers: [26, 3]
Generated Node #0,1,0: 78:[26, 3] Operation: 53-50=3
Moving to Node #0,1,0
Current State: 78:[26, 3], Operations: ['89-63=26', '53-50=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
60,
6,
49,
47
] | 15 | [
"49-6=43",
"47-43=4",
"60/4=15"
] | Current State: 15:[60, 6, 49, 47], Operations: []
Exploring Operation: 49-6=43, Resulting Numbers: [60, 47, 43]
Generated Node #2: [60, 47, 43] from Operation: 49-6=43
Current State: 15:[60, 47, 43], Operations: ['49-6=43']
Exploring Operation: 47-43=4, Resulting Numbers: [60, 4]
Generated Node #3: [60, 4] from Operation: 47-43=4
Current State: 15:[60, 4], Operations: ['49-6=43', '47-43=4']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[60, 6, 49, 47], Operations: []
Exploring Operation: 60-6=54, Resulting Numbers: [49, 47, 54]
Generated Node #0,0: 15:[49, 47, 54] Operation: 60-6=54
Exploring Operation: 60-49=11, Resulting Numbers: [6, 47, 11]
Generated Node #0,1: 15:[6, 47, 11] Operation: 60-49=11
Exploring Operation: 60/6=10, Resulting Numbers: [49, 47, 10]
Generated Node #0,2: 15:[49, 47, 10] Operation: 60/6=10
Exploring Operation: 49-47=2, Resulting Numbers: [60, 6, 2]
Generated Node #0,3: 15:[60, 6, 2] Operation: 49-47=2
Exploring Operation: 60-47=13, Resulting Numbers: [6, 49, 13]
Generated Node #0,4: 15:[6, 49, 13] Operation: 60-47=13
Moving to Node #0,1
Current State: 15:[6, 47, 11], Operations: ['60-49=11']
Exploring Operation: 6+11=17, Resulting Numbers: [47, 17]
Generated Node #0,1,0: 15:[47, 17] Operation: 6+11=17
Exploring Operation: 6+47=53, Resulting Numbers: [11, 53]
Generated Node #0,1,1: 15:[11, 53] Operation: 6+47=53
Exploring Operation: 47-6=41, Resulting Numbers: [11, 41]
Generated Node #0,1,2: 15:[11, 41] Operation: 47-6=41
Exploring Operation: 11-6=5, Resulting Numbers: [47, 5]
Generated Node #0,1,3: 15:[47, 5] Operation: 11-6=5
Exploring Operation: 47-11=36, Resulting Numbers: [6, 36]
Generated Node #0,1,4: 15:[6, 36] Operation: 47-11=36
Moving to Node #0,4
Current State: 15:[6, 49, 13], Operations: ['60-47=13']
Exploring Operation: 49-13=36, Resulting Numbers: [6, 36]
Generated Node #0,4,0: 15:[6, 36] Operation: 49-13=36
Exploring Operation: 13-6=7, Resulting Numbers: [49, 7]
Generated Node #0,4,1: 15:[49, 7] Operation: 13-6=7
Exploring Operation: 6+49=55, Resulting Numbers: [13, 55]
Generated Node #0,4,2: 15:[13, 55] Operation: 6+49=55
Exploring Operation: 6+13=19, Resulting Numbers: [49, 19]
Generated Node #0,4,3: 15:[49, 19] Operation: 6+13=19
Exploring Operation: 49-6=43, Resulting Numbers: [13, 43]
Generated Node #0,4,4: 15:[13, 43] Operation: 49-6=43
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 15:[6, 36], Operations: ['60-47=13', '49-13=36']
Exploring Operation: 6+36=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,15 unequal: No Solution
Exploring Operation: 6*36=216, Resulting Numbers: [216]
216,15 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 15:[13, 43], Operations: ['60-47=13', '49-6=43']
Exploring Operation: 13*43=559, Resulting Numbers: [559]
559,15 unequal: No Solution
Exploring Operation: 13+43=56, Resulting Numbers: [56]
56,15 unequal: No Solution
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 15:[49, 7], Operations: ['60-47=13', '13-6=7']
Exploring Operation: 49*7=343, Resulting Numbers: [343]
343,15 unequal: No Solution
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Exploring Operation: 49+7=56, Resulting Numbers: [56]
56,15 unequal: No Solution
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 15:[49, 19], Operations: ['60-47=13', '6+13=19']
Exploring Operation: 49+19=68, Resulting Numbers: [68]
68,15 unequal: No Solution
Exploring Operation: 49-19=30, Resulting Numbers: [30]
30,15 unequal: No Solution
Exploring Operation: 49*19=931, Resulting Numbers: [931]
931,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 15:[13, 55], Operations: ['60-47=13', '6+49=55']
Exploring Operation: 55-13=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Exploring Operation: 13*55=715, Resulting Numbers: [715]
715,15 unequal: No Solution
Exploring Operation: 13+55=68, Resulting Numbers: [68]
68,15 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: 15:[60, 6, 2], Operations: ['49-47=2']
Exploring Operation: 60-2=58, Resulting Numbers: [6, 58]
Generated Node #0,3,0: 15:[6, 58] Operation: 60-2=58
Exploring Operation: 6/2=3, Resulting Numbers: [60, 3]
Generated Node #0,3,1: 15:[60, 3] Operation: 6/2=3
Exploring Operation: 60/6=10, Resulting Numbers: [2, 10]
Generated Node #0,3,2: 15:[2, 10] Operation: 60/6=10
Exploring Operation: 60-6=54, Resulting Numbers: [2, 54]
Generated Node #0,3,3: 15:[2, 54] Operation: 60-6=54
Exploring Operation: 60/2=30, Resulting Numbers: [6, 30]
Generated Node #0,3,4: 15:[6, 30] Operation: 60/2=30
Moving to Node #0,2
Current State: 15:[49, 47, 10], Operations: ['60/6=10']
Exploring Operation: 47-10=37, Resulting Numbers: [49, 37]
Generated Node #0,2,0: 15:[49, 37] Operation: 47-10=37
Exploring Operation: 49-10=39, Resulting Numbers: [47, 39]
Generated Node #0,2,1: 15:[47, 39] Operation: 49-10=39
Exploring Operation: 49-47=2, Resulting Numbers: [10, 2]
Generated Node #0,2,2: 15:[10, 2] Operation: 49-47=2
Exploring Operation: 49+10=59, Resulting Numbers: [47, 59]
Generated Node #0,2,3: 15:[47, 59] Operation: 49+10=59
Exploring Operation: 47+10=57, Resulting Numbers: [49, 57]
Generated Node #0,2,4: 15:[49, 57] Operation: 47+10=57
Moving to Node #0,0
Current State: 15:[49, 47, 54], Operations: ['60-6=54']
Exploring Operation: 54-49=5, Resulting Numbers: [47, 5]
Generated Node #0,0,0: 15:[47, 5] Operation: 54-49=5
Exploring Operation: 49+47=96, Resulting Numbers: [54, 96]
Generated Node #0,0,1: 15:[54, 96] Operation: 49+47=96
Exploring Operation: 49-47=2, Resulting Numbers: [54, 2]
Generated Node #0,0,2: 15:[54, 2] Operation: 49-47=2
Exploring Operation: 49+54=103, Resulting Numbers: [47, 103]
Generated Node #0,0,3: 15:[47, 103] Operation: 49+54=103
Exploring Operation: 54-47=7, Resulting Numbers: [49, 7]
Generated Node #0,0,4: 15:[49, 7] Operation: 54-47=7
Moving to Node #0,3,2
Current State: 15:[2, 10], Operations: ['49-47=2', '60/6=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,15 unequal: No Solution
Moving to Node #0,2,2
Current State: 15:[10, 2], Operations: ['60/6=10', '49-47=2']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,15 unequal: No Solution
Moving to Node #0,3,4
Current State: 15:[6, 30], Operations: ['49-47=2', '60/2=30']
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 6+30=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 6*30=180, Resulting Numbers: [180]
180,15 unequal: No Solution
Moving to Node #0,1,4
Current State: 15:[6, 36], Operations: ['60-49=11', '47-11=36']
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 6+36=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Exploring Operation: 6*36=216, Resulting Numbers: [216]
216,15 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[11, 41], Operations: ['60-49=11', '47-6=41']
Exploring Operation: 11+41=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,15 unequal: No Solution
Exploring Operation: 11*41=451, Resulting Numbers: [451]
451,15 unequal: No Solution
Moving to Node #0,1,3
Current State: 15:[47, 5], Operations: ['60-49=11', '11-6=5']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Exploring Operation: 47+5=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 47*5=235, Resulting Numbers: [235]
235,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[47, 5], Operations: ['60-6=54', '54-49=5']
Exploring Operation: 47+5=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Exploring Operation: 47*5=235, Resulting Numbers: [235]
235,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[47, 17], Operations: ['60-49=11', '6+11=17']
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,15 unequal: No Solution
Exploring Operation: 47*17=799, Resulting Numbers: [799]
799,15 unequal: No Solution
Exploring Operation: 47+17=64, Resulting Numbers: [64]
64,15 unequal: No Solution
Moving to Node #0,0,4
Current State: 15:[49, 7], Operations: ['60-6=54', '54-47=7']
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Exploring Operation: 49*7=343, Resulting Numbers: [343]
343,15 unequal: No Solution
Exploring Operation: 49+7=56, Resulting Numbers: [56]
56,15 unequal: No Solution
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Moving to Node #0,3,3
Current State: 15:[2, 54], Operations: ['49-47=2', '60-6=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,15 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,15 unequal: No Solution
Exploring Operation: 2*54=108, Resulting Numbers: [108]
108,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[54, 2], Operations: ['60-6=54', '49-47=2']
Exploring Operation: 54*2=108, Resulting Numbers: [108]
108,15 unequal: No Solution
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,15 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[11, 53], Operations: ['60-49=11', '6+47=53']
Exploring Operation: 11+53=64, Resulting Numbers: [64]
64,15 unequal: No Solution
Exploring Operation: 11*53=583, Resulting Numbers: [583]
583,15 unequal: No Solution
Exploring Operation: 53-11=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Moving to Node #0,3,0
Current State: 15:[6, 58], Operations: ['49-47=2', '60-2=58']
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 6+58=64, Resulting Numbers: [64]
64,15 unequal: No Solution
Exploring Operation: 6*58=348, Resulting Numbers: [348]
348,15 unequal: No Solution
Moving to Node #0,3,1
Current State: 15:[60, 3], Operations: ['49-47=2', '6/2=3']
Exploring Operation: 60*3=180, Resulting Numbers: [180]
180,15 unequal: No Solution
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,15 unequal: No Solution
Exploring Operation: 60+3=63, Resulting Numbers: [63]
63,15 unequal: No Solution
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[49, 37], Operations: ['60/6=10', '47-10=37']
Exploring Operation: 49+37=86, Resulting Numbers: [86]
86,15 unequal: No Solution
Exploring Operation: 49*37=1813, Resulting Numbers: [1813]
1813,15 unequal: No Solution
Exploring Operation: 49-37=12, Resulting Numbers: [12]
12,15 unequal: No Solution
Moving to Node #0,2,1
Current State: 15:[47, 39], Operations: ['60/6=10', '49-10=39']
Exploring Operation: 47-39=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 47+39=86, Resulting Numbers: [86]
86,15 unequal: No Solution
Exploring Operation: 47*39=1833, Resulting Numbers: [1833]
1833,15 unequal: No Solution
Moving to Node #0,2,3
Current State: 15:[47, 59], Operations: ['60/6=10', '49+10=59']
Exploring Operation: 59-47=12, Resulting Numbers: [12]
12,15 unequal: No Solution
Exploring Operation: 47*59=2773, Resulting Numbers: [2773]
2773,15 unequal: No Solution
Exploring Operation: 47+59=106, Resulting Numbers: [106]
106,15 unequal: No Solution
Moving to Node #0,2,4
Current State: 15:[49, 57], Operations: ['60/6=10', '47+10=57']
Exploring Operation: 49*57=2793, Resulting Numbers: [2793]
2793,15 unequal: No Solution
Exploring Operation: 57-49=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 49+57=106, Resulting Numbers: [106]
106,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[54, 96], Operations: ['60-6=54', '49+47=96']
Exploring Operation: 54*96=5184, Resulting Numbers: [5184]
5184,15 unequal: No Solution
Exploring Operation: 54+96=150, Resulting Numbers: [150]
150,15 unequal: No Solution
Exploring Operation: 96-54=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Moving to Node #0,0,3
Current State: 15:[47, 103], Operations: ['60-6=54', '49+54=103']
Exploring Operation: 47+103=150, Resulting Numbers: [150]
150,15 unequal: No Solution
Exploring Operation: 47*103=4841, Resulting Numbers: [4841]
4841,15 unequal: No Solution
Exploring Operation: 103-47=56, Resulting Numbers: [56]
56,15 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
21,
29,
21,
58
] | 63 | [
"21*58=1218",
"1218/29=42",
"21+42=63"
] | Current State: 63:[21, 29, 21, 58], Operations: []
Exploring Operation: 21*58=1218, Resulting Numbers: [29, 1218]
Generated Node #2: [29, 1218] from Operation: 21*58=1218
Current State: 63:[29, 1218], Operations: ['21*58=1218']
Exploring Operation: 1218/29=42, Resulting Numbers: [42]
42,63 equal: Goal Reached
Exploring Operation: 21+42=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[21, 29, 21, 58], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [21, 21, 2]
Generated Node #0,0: 63:[21, 21, 2] Operation: 58/29=2
Exploring Operation: 29-21=8, Resulting Numbers: [21, 58, 8]
Generated Node #0,1: 63:[21, 58, 8] Operation: 29-21=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[21, 21, 2], Operations: ['58/29=2']
Exploring Operation: 21-2=19, Resulting Numbers: [21, 19]
Generated Node #0,0,0: 63:[21, 19] Operation: 21-2=19
Exploring Operation: 21+2=23, Resulting Numbers: [21, 23]
Generated Node #0,0,1: 63:[21, 23] Operation: 21+2=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[21, 19], Operations: ['58/29=2', '21-2=19']
Exploring Operation: 21+19=40, Resulting Numbers: [40]
40,63 unequal: No Solution
Exploring Operation: 21-19=2, Resulting Numbers: [2]
2,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 63:[21, 23], Operations: ['58/29=2', '21+2=23']
Exploring Operation: 23-21=2, Resulting Numbers: [2]
2,63 unequal: No Solution
Exploring Operation: 21+23=44, Resulting Numbers: [44]
44,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[21, 58, 8], Operations: ['29-21=8']
Exploring Operation: 21-8=13, Resulting Numbers: [58, 13]
Generated Node #0,1,0: 63:[58, 13] Operation: 21-8=13
Exploring Operation: 58+8=66, Resulting Numbers: [21, 66]
Generated Node #0,1,1: 63:[21, 66] Operation: 58+8=66
Moving to Node #0,1,1
Current State: 63:[21, 66], Operations: ['29-21=8', '58+8=66']
Exploring Operation: 21+66=87, Resulting Numbers: [87]
87,63 unequal: No Solution
Exploring Operation: 66-21=45, Resulting Numbers: [45]
45,63 unequal: No Solution
Moving to Node #0,1,0
Current State: 63:[58, 13], Operations: ['29-21=8', '21-8=13']
Exploring Operation: 58+13=71, Resulting Numbers: [71]
71,63 unequal: No Solution
Exploring Operation: 58-13=45, Resulting Numbers: [45]
45,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
23,
27,
6,
4
] | 79 | [
"23+6=29",
"27*4=108",
"108-29=79"
] | Current State: 79:[23, 27, 6, 4], Operations: []
Exploring Operation: 23+6=29, Resulting Numbers: [27, 4, 29]
Generated Node #2: [27, 4, 29] from Operation: 23+6=29
Current State: 79:[27, 4, 29], Operations: ['23+6=29']
Exploring Operation: 27*4=108, Resulting Numbers: [29, 108]
Generated Node #3: [29, 108] from Operation: 27*4=108
Current State: 79:[29, 108], Operations: ['23+6=29', '27*4=108']
Exploring Operation: 108-29=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[23, 27, 6, 4], Operations: []
Exploring Operation: 6*4=24, Resulting Numbers: [23, 27, 24]
Generated Node #0,0: 79:[23, 27, 24] Operation: 6*4=24
Exploring Operation: 23*4=92, Resulting Numbers: [27, 6, 92]
Generated Node #0,1: 79:[27, 6, 92] Operation: 23*4=92
Exploring Operation: 27*4=108, Resulting Numbers: [23, 6, 108]
Generated Node #0,2: 79:[23, 6, 108] Operation: 27*4=108
Moving to Node #0,1
Current State: 79:[27, 6, 92], Operations: ['23*4=92']
Exploring Operation: 27+6=33, Resulting Numbers: [92, 33]
Generated Node #0,1,0: 79:[92, 33] Operation: 27+6=33
Exploring Operation: 92-6=86, Resulting Numbers: [27, 86]
Generated Node #0,1,1: 79:[27, 86] Operation: 92-6=86
Exploring Operation: 27-6=21, Resulting Numbers: [92, 21]
Generated Node #0,1,2: 79:[92, 21] Operation: 27-6=21
Moving to Node #0,2
Current State: 79:[23, 6, 108], Operations: ['27*4=108']
Exploring Operation: 108-6=102, Resulting Numbers: [23, 102]
Generated Node #0,2,0: 79:[23, 102] Operation: 108-6=102
Exploring Operation: 108-23=85, Resulting Numbers: [6, 85]
Generated Node #0,2,1: 79:[6, 85] Operation: 108-23=85
Exploring Operation: 23+6=29, Resulting Numbers: [108, 29]
Generated Node #0,2,2: 79:[108, 29] Operation: 23+6=29
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 79:[23, 102], Operations: ['27*4=108', '108-6=102']
Exploring Operation: 102-23=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[23, 27, 6, 4], Operations: []
Exploring Operation: 27*4=108, Resulting Numbers: [23, 6, 108]
Generated Node #0,2: 79:[23, 6, 108] Operation: 27*4=108
Moving to Node #0,2
Current State: 79:[23, 6, 108], Operations: ['27*4=108']
Exploring Operation: 108-6=102, Resulting Numbers: [23, 102]
Generated Node #0,2,0: 79:[23, 102] Operation: 108-6=102
Moving to Node #0,2,0
Current State: 79:[23, 102], Operations: ['27*4=108', '108-6=102']
Exploring Operation: 102-23=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
31,
67,
3,
58
] | 93 | [
"67-58=9",
"31*9=279",
"279/3=93"
] | Current State: 93:[31, 67, 3, 58], Operations: []
Exploring Operation: 67-58=9, Resulting Numbers: [31, 3, 9]
Generated Node #2: [31, 3, 9] from Operation: 67-58=9
Current State: 93:[31, 3, 9], Operations: ['67-58=9']
Exploring Operation: 31*9=279, Resulting Numbers: [3, 279]
Generated Node #3: [3, 279] from Operation: 31*9=279
Current State: 93:[3, 279], Operations: ['67-58=9', '31*9=279']
Exploring Operation: 279/3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[31, 67, 3, 58], Operations: []
Exploring Operation: 31+67=98, Resulting Numbers: [3, 58, 98]
Generated Node #0,0: 93:[3, 58, 98] Operation: 31+67=98
Exploring Operation: 67-31=36, Resulting Numbers: [3, 58, 36]
Generated Node #0,1: 93:[3, 58, 36] Operation: 67-31=36
Exploring Operation: 58-31=27, Resulting Numbers: [67, 3, 27]
Generated Node #0,2: 93:[67, 3, 27] Operation: 58-31=27
Exploring Operation: 67-58=9, Resulting Numbers: [31, 3, 9]
Generated Node #0,3: 93:[31, 3, 9] Operation: 67-58=9
Exploring Operation: 31+58=89, Resulting Numbers: [67, 3, 89]
Generated Node #0,4: 93:[67, 3, 89] Operation: 31+58=89
Moving to Node #0,3
Current State: 93:[31, 3, 9], Operations: ['67-58=9']
Exploring Operation: 9/3=3, Resulting Numbers: [31, 3]
Generated Node #0,3,0: 93:[31, 3] Operation: 9/3=3
Exploring Operation: 31+3=34, Resulting Numbers: [9, 34]
Generated Node #0,3,1: 93:[9, 34] Operation: 31+3=34
Exploring Operation: 9-3=6, Resulting Numbers: [31, 6]
Generated Node #0,3,2: 93:[31, 6] Operation: 9-3=6
Exploring Operation: 31*3=93, Resulting Numbers: [9, 93]
Generated Node #0,3,3: 93:[9, 93] Operation: 31*3=93
Exploring Operation: 3*9=27, Resulting Numbers: [31, 27]
Generated Node #0,3,4: 93:[31, 27] Operation: 3*9=27
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 93:[31, 3], Operations: ['67-58=9', '9/3=3']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[31, 67, 3, 58], Operations: []
Exploring Operation: 67-58=9, Resulting Numbers: [31, 3, 9]
Generated Node #0,3: 93:[31, 3, 9] Operation: 67-58=9
Moving to Node #0,3
Current State: 93:[31, 3, 9], Operations: ['67-58=9']
Exploring Operation: 9/3=3, Resulting Numbers: [31, 3]
Generated Node #0,3,0: 93:[31, 3] Operation: 9/3=3
Moving to Node #0,3,0
Current State: 93:[31, 3], Operations: ['67-58=9', '9/3=3']
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
9,
69,
46,
58
] | 52 | [
"9*46=414",
"414/69=6",
"58-6=52"
] | Current State: 52:[9, 69, 46, 58], Operations: []
Exploring Operation: 9*46=414, Resulting Numbers: [69, 58, 414]
Generated Node #2: [69, 58, 414] from Operation: 9*46=414
Current State: 52:[69, 58, 414], Operations: ['9*46=414']
Exploring Operation: 414/69=6, Resulting Numbers: [58, 6]
Generated Node #3: [58, 6] from Operation: 414/69=6
Current State: 52:[58, 6], Operations: ['9*46=414', '414/69=6']
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[9, 69, 46, 58], Operations: []
Exploring Operation: 69-58=11, Resulting Numbers: [9, 46, 11]
Generated Node #0,0: 52:[9, 46, 11] Operation: 69-58=11
Exploring Operation: 58-46=12, Resulting Numbers: [9, 69, 12]
Generated Node #0,1: 52:[9, 69, 12] Operation: 58-46=12
Exploring Operation: 9+46=55, Resulting Numbers: [69, 58, 55]
Generated Node #0,2: 52:[69, 58, 55] Operation: 9+46=55
Exploring Operation: 69-9=60, Resulting Numbers: [46, 58, 60]
Generated Node #0,3: 52:[46, 58, 60] Operation: 69-9=60
Exploring Operation: 69-46=23, Resulting Numbers: [9, 58, 23]
Generated Node #0,4: 52:[9, 58, 23] Operation: 69-46=23
Moving to Node #0,0
Current State: 52:[9, 46, 11], Operations: ['69-58=11']
Exploring Operation: 46+11=57, Resulting Numbers: [9, 57]
Generated Node #0,0,0: 52:[9, 57] Operation: 46+11=57
Exploring Operation: 9+11=20, Resulting Numbers: [46, 20]
Generated Node #0,0,1: 52:[46, 20] Operation: 9+11=20
Exploring Operation: 46-9=37, Resulting Numbers: [11, 37]
Generated Node #0,0,2: 52:[11, 37] Operation: 46-9=37
Exploring Operation: 11-9=2, Resulting Numbers: [46, 2]
Generated Node #0,0,3: 52:[46, 2] Operation: 11-9=2
Exploring Operation: 9+46=55, Resulting Numbers: [11, 55]
Generated Node #0,0,4: 52:[11, 55] Operation: 9+46=55
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 52:[11, 55], Operations: ['69-58=11', '9+46=55']
Exploring Operation: 55/11=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 11*55=605, Resulting Numbers: [605]
605,52 unequal: No Solution
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 11+55=66, Resulting Numbers: [66]
66,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 52:[46, 2], Operations: ['69-58=11', '11-9=2']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,52 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[9, 57], Operations: ['69-58=11', '46+11=57']
Exploring Operation: 9*57=513, Resulting Numbers: [513]
513,52 unequal: No Solution
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 9+57=66, Resulting Numbers: [66]
66,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 52:[46, 20], Operations: ['69-58=11', '9+11=20']
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 46*20=920, Resulting Numbers: [920]
920,52 unequal: No Solution
Exploring Operation: 46+20=66, Resulting Numbers: [66]
66,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 52:[11, 37], Operations: ['69-58=11', '46-9=37']
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 11+37=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 11*37=407, Resulting Numbers: [407]
407,52 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: 52:[9, 58, 23], Operations: ['69-46=23']
Exploring Operation: 9+23=32, Resulting Numbers: [58, 32]
Generated Node #0,4,0: 52:[58, 32] Operation: 9+23=32
Exploring Operation: 9+58=67, Resulting Numbers: [23, 67]
Generated Node #0,4,1: 52:[23, 67] Operation: 9+58=67
Exploring Operation: 58-23=35, Resulting Numbers: [9, 35]
Generated Node #0,4,2: 52:[9, 35] Operation: 58-23=35
Exploring Operation: 23-9=14, Resulting Numbers: [58, 14]
Generated Node #0,4,3: 52:[58, 14] Operation: 23-9=14
Exploring Operation: 58-9=49, Resulting Numbers: [23, 49]
Generated Node #0,4,4: 52:[23, 49] Operation: 58-9=49
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 52:[23, 49], Operations: ['69-46=23', '58-9=49']
Exploring Operation: 49-23=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 23*49=1127, Resulting Numbers: [1127]
1127,52 unequal: No Solution
Exploring Operation: 23+49=72, Resulting Numbers: [72]
72,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 52:[58, 14], Operations: ['69-46=23', '23-9=14']
Exploring Operation: 58*14=812, Resulting Numbers: [812]
812,52 unequal: No Solution
Exploring Operation: 58-14=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 58+14=72, Resulting Numbers: [72]
72,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 52:[58, 32], Operations: ['69-46=23', '9+23=32']
Exploring Operation: 58+32=90, Resulting Numbers: [90]
90,52 unequal: No Solution
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 58*32=1856, Resulting Numbers: [1856]
1856,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 52:[9, 35], Operations: ['69-46=23', '58-23=35']
Exploring Operation: 9*35=315, Resulting Numbers: [315]
315,52 unequal: No Solution
Exploring Operation: 9+35=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 52:[23, 67], Operations: ['69-46=23', '9+58=67']
Exploring Operation: 23*67=1541, Resulting Numbers: [1541]
1541,52 unequal: No Solution
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 23+67=90, Resulting Numbers: [90]
90,52 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: 52:[46, 58, 60], Operations: ['69-9=60']
Exploring Operation: 60-58=2, Resulting Numbers: [46, 2]
Generated Node #0,3,0: 52:[46, 2] Operation: 60-58=2
Exploring Operation: 46+58=104, Resulting Numbers: [60, 104]
Generated Node #0,3,1: 52:[60, 104] Operation: 46+58=104
Exploring Operation: 60-46=14, Resulting Numbers: [58, 14]
Generated Node #0,3,2: 52:[58, 14] Operation: 60-46=14
Exploring Operation: 46+60=106, Resulting Numbers: [58, 106]
Generated Node #0,3,3: 52:[58, 106] Operation: 46+60=106
Exploring Operation: 58-46=12, Resulting Numbers: [60, 12]
Generated Node #0,3,4: 52:[60, 12] Operation: 58-46=12
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 52:[46, 2], Operations: ['69-9=60', '60-58=2']
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 52:[58, 14], Operations: ['69-9=60', '60-46=14']
Exploring Operation: 58*14=812, Resulting Numbers: [812]
812,52 unequal: No Solution
Exploring Operation: 58+14=72, Resulting Numbers: [72]
72,52 unequal: No Solution
Exploring Operation: 58-14=44, Resulting Numbers: [44]
44,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 52:[60, 12], Operations: ['69-9=60', '58-46=12']
Exploring Operation: 60-12=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 60/12=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 60+12=72, Resulting Numbers: [72]
72,52 unequal: No Solution
Exploring Operation: 60*12=720, Resulting Numbers: [720]
720,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 52:[60, 104], Operations: ['69-9=60', '46+58=104']
Exploring Operation: 104-60=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 60+104=164, Resulting Numbers: [164]
164,52 unequal: No Solution
Exploring Operation: 60*104=6240, Resulting Numbers: [6240]
6240,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 52:[58, 106], Operations: ['69-9=60', '46+60=106']
Exploring Operation: 58+106=164, Resulting Numbers: [164]
164,52 unequal: No Solution
Exploring Operation: 106-58=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 58*106=6148, Resulting Numbers: [6148]
6148,52 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: 52:[9, 69, 12], Operations: ['58-46=12']
Exploring Operation: 9+12=21, Resulting Numbers: [69, 21]
Generated Node #0,1,0: 52:[69, 21] Operation: 9+12=21
Exploring Operation: 9+69=78, Resulting Numbers: [12, 78]
Generated Node #0,1,1: 52:[12, 78] Operation: 9+69=78
Exploring Operation: 69-12=57, Resulting Numbers: [9, 57]
Generated Node #0,1,2: 52:[9, 57] Operation: 69-12=57
Exploring Operation: 69-9=60, Resulting Numbers: [12, 60]
Generated Node #0,1,3: 52:[12, 60] Operation: 69-9=60
Exploring Operation: 12-9=3, Resulting Numbers: [69, 3]
Generated Node #0,1,4: 52:[69, 3] Operation: 12-9=3
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 52:[9, 57], Operations: ['58-46=12', '69-12=57']
Exploring Operation: 9*57=513, Resulting Numbers: [513]
513,52 unequal: No Solution
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 9+57=66, Resulting Numbers: [66]
66,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 52:[12, 60], Operations: ['58-46=12', '69-9=60']
Exploring Operation: 60/12=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 12*60=720, Resulting Numbers: [720]
720,52 unequal: No Solution
Exploring Operation: 60-12=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 12+60=72, Resulting Numbers: [72]
72,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 52:[69, 3], Operations: ['58-46=12', '12-9=3']
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,52 unequal: No Solution
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,52 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 52:[69, 21], Operations: ['58-46=12', '9+12=21']
Exploring Operation: 69+21=90, Resulting Numbers: [90]
90,52 unequal: No Solution
Exploring Operation: 69-21=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 69*21=1449, Resulting Numbers: [1449]
1449,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 52:[12, 78], Operations: ['58-46=12', '9+69=78']
Exploring Operation: 12+78=90, Resulting Numbers: [90]
90,52 unequal: No Solution
Exploring Operation: 12*78=936, Resulting Numbers: [936]
936,52 unequal: No Solution
Exploring Operation: 78-12=66, Resulting Numbers: [66]
66,52 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: 52:[69, 58, 55], Operations: ['9+46=55']
Exploring Operation: 69+58=127, Resulting Numbers: [55, 127]
Generated Node #0,2,0: 52:[55, 127] Operation: 69+58=127
Exploring Operation: 69-58=11, Resulting Numbers: [55, 11]
Generated Node #0,2,1: 52:[55, 11] Operation: 69-58=11
Exploring Operation: 69+55=124, Resulting Numbers: [58, 124]
Generated Node #0,2,2: 52:[58, 124] Operation: 69+55=124
Exploring Operation: 69-55=14, Resulting Numbers: [58, 14]
Generated Node #0,2,3: 52:[58, 14] Operation: 69-55=14
Exploring Operation: 58-55=3, Resulting Numbers: [69, 3]
Generated Node #0,2,4: 52:[69, 3] Operation: 58-55=3
Moving to Node #0,2,1
Current State: 52:[55, 11], Operations: ['9+46=55', '69-58=11']
Exploring Operation: 55/11=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 55*11=605, Resulting Numbers: [605]
605,52 unequal: No Solution
Exploring Operation: 55+11=66, Resulting Numbers: [66]
66,52 unequal: No Solution
Moving to Node #0,2,3
Current State: 52:[58, 14], Operations: ['9+46=55', '69-55=14']
Exploring Operation: 58-14=44, Resulting Numbers: [44]
44,52 unequal: No Solution
Exploring Operation: 58+14=72, Resulting Numbers: [72]
72,52 unequal: No Solution
Exploring Operation: 58*14=812, Resulting Numbers: [812]
812,52 unequal: No Solution
Moving to Node #0,2,4
Current State: 52:[69, 3], Operations: ['9+46=55', '58-55=3']
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,52 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,52 unequal: No Solution
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,52 unequal: No Solution
Moving to Node #0,2,0
Current State: 52:[55, 127], Operations: ['9+46=55', '69+58=127']
Exploring Operation: 55+127=182, Resulting Numbers: [182]
182,52 unequal: No Solution
Exploring Operation: 55*127=6985, Resulting Numbers: [6985]
6985,52 unequal: No Solution
Exploring Operation: 127-55=72, Resulting Numbers: [72]
72,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[58, 124], Operations: ['9+46=55', '69+55=124']
Exploring Operation: 58+124=182, Resulting Numbers: [182]
182,52 unequal: No Solution
Exploring Operation: 124-58=66, Resulting Numbers: [66]
66,52 unequal: No Solution
Exploring Operation: 58*124=7192, Resulting Numbers: [7192]
7192,52 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.