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 |
|---|---|---|---|---|---|---|---|---|
[
52,
8,
14,
43
] | 15 | [
"52-8=44",
"43-14=29",
"44-29=15"
] | Current State: 15:[52, 8, 14, 43], Operations: []
Exploring Operation: 52-8=44, Resulting Numbers: [14, 43, 44]
Generated Node #2: [14, 43, 44] from Operation: 52-8=44
Current State: 15:[14, 43, 44], Operations: ['52-8=44']
Exploring Operation: 43-14=29, Resulting Numbers: [44, 29]
Generated Node #3: [44, 29] from Operation: 43-14=29
Current State: 15:[44, 29], Operations: ['52-8=44', '43-14=29']
Exploring Operation: 44-29=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[52, 8, 14, 43], Operations: []
Exploring Operation: 52-43=9, Resulting Numbers: [8, 14, 9]
Generated Node #0,0: 15:[8, 14, 9] Operation: 52-43=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[8, 14, 9], Operations: ['52-43=9']
Exploring Operation: 8+9=17, Resulting Numbers: [14, 17]
Generated Node #0,0,0: 15:[14, 17] Operation: 8+9=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[14, 17], Operations: ['52-43=9', '8+9=17']
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
65,
8,
44,
76
] | 80 | [
"44+76=120",
"120/8=15",
"65+15=80"
] | Current State: 80:[65, 8, 44, 76], Operations: []
Exploring Operation: 44+76=120, Resulting Numbers: [65, 8, 120]
Generated Node #2: [65, 8, 120] from Operation: 44+76=120
Current State: 80:[65, 8, 120], Operations: ['44+76=120']
Exploring Operation: 120/8=15, Resulting Numbers: [65, 15]
Generated Node #3: [65, 15] from Operation: 120/8=15
Current State: 80:[65, 15], Operations: ['44+76=120', '120/8=15']
Exploring Operation: 65+15=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[65, 8, 44, 76], Operations: []
Exploring Operation: 65-44=21, Resulting Numbers: [8, 76, 21]
Generated Node #0,0: 80:[8, 76, 21] Operation: 65-44=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[8, 76, 21], Operations: ['65-44=21']
Exploring Operation: 8+76=84, Resulting Numbers: [21, 84]
Generated Node #0,0,0: 80:[21, 84] Operation: 8+76=84
Moving to Node #0,0,0
Current State: 80:[21, 84], Operations: ['65-44=21', '8+76=84']
Exploring Operation: 84/21=4, Resulting Numbers: [4]
4,80 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 |
[
3,
3,
12,
52
] | 39 | [
"3*3=9",
"52*9=468",
"468/12=39"
] | Current State: 39:[3, 3, 12, 52], Operations: []
Exploring Operation: 3*3=9, Resulting Numbers: [12, 52, 9]
Generated Node #2: [12, 52, 9] from Operation: 3*3=9
Current State: 39:[12, 52, 9], Operations: ['3*3=9']
Exploring Operation: 52*9=468, Resulting Numbers: [12, 468]
Generated Node #3: [12, 468] from Operation: 52*9=468
Current State: 39:[12, 468], Operations: ['3*3=9', '52*9=468']
Exploring Operation: 468/12=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[3, 3, 12, 52], Operations: []
Exploring Operation: 52-12=40, Resulting Numbers: [3, 3, 40]
Generated Node #0,0: 39:[3, 3, 40] Operation: 52-12=40
Exploring Operation: 52-3=49, Resulting Numbers: [3, 12, 49]
Generated Node #0,1: 39:[3, 12, 49] Operation: 52-3=49
Exploring Operation: 12/3=4, Resulting Numbers: [3, 52, 4]
Generated Node #0,2: 39:[3, 52, 4] Operation: 12/3=4
Exploring Operation: 12/3=4, Resulting Numbers: [3, 52, 4]
Generated Node #0,3: 39:[3, 52, 4] Operation: 12/3=4
Exploring Operation: 52-3=49, Resulting Numbers: [3, 12, 49]
Generated Node #0,4: 39:[3, 12, 49] Operation: 52-3=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[3, 3, 40], Operations: ['52-12=40']
Exploring Operation: 3+3=6, Resulting Numbers: [40, 6]
Generated Node #0,0,0: 39:[40, 6] Operation: 3+3=6
Exploring Operation: 40-3=37, Resulting Numbers: [3, 37]
Generated Node #0,0,1: 39:[3, 37] Operation: 40-3=37
Exploring Operation: 3/3=1, Resulting Numbers: [40, 1]
Generated Node #0,0,2: 39:[40, 1] Operation: 3/3=1
Exploring Operation: 3-3=0, Resulting Numbers: [40, 0]
Generated Node #0,0,3: 39:[40, 0] Operation: 3-3=0
Exploring Operation: 40-3=37, Resulting Numbers: [3, 37]
Generated Node #0,0,4: 39:[3, 37] Operation: 40-3=37
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 39:[3, 37], Operations: ['52-12=40', '40-3=37']
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,39 unequal: No Solution
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Exploring Operation: 3*37=111, Resulting Numbers: [111]
111,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 39:[3, 37], Operations: ['52-12=40', '40-3=37']
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,39 unequal: No Solution
Exploring Operation: 3*37=111, Resulting Numbers: [111]
111,39 unequal: No Solution
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 39:[40, 1], Operations: ['52-12=40', '3/3=1']
Exploring Operation: 40/1=40, Resulting Numbers: [40]
40,39 unequal: No Solution
Exploring Operation: 40+1=41, Resulting Numbers: [41]
41,39 unequal: No Solution
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[3, 3, 12, 52], Operations: []
Exploring Operation: 52-12=40, Resulting Numbers: [3, 3, 40]
Generated Node #0,0: 39:[3, 3, 40] Operation: 52-12=40
Moving to Node #0,0
Current State: 39:[3, 3, 40], Operations: ['52-12=40']
Exploring Operation: 3/3=1, Resulting Numbers: [40, 1]
Generated Node #0,0,2: 39:[40, 1] Operation: 3/3=1
Moving to Node #0,0,2
Current State: 39:[40, 1], Operations: ['52-12=40', '3/3=1']
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
99,
86,
51,
37
] | 97 | [
"99+86=185",
"51+37=88",
"185-88=97"
] | Current State: 97:[99, 86, 51, 37], Operations: []
Exploring Operation: 99+86=185, Resulting Numbers: [51, 37, 185]
Generated Node #2: [51, 37, 185] from Operation: 99+86=185
Current State: 97:[51, 37, 185], Operations: ['99+86=185']
Exploring Operation: 51+37=88, Resulting Numbers: [185, 88]
Generated Node #3: [185, 88] from Operation: 51+37=88
Current State: 97:[185, 88], Operations: ['99+86=185', '51+37=88']
Exploring Operation: 185-88=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[99, 86, 51, 37], Operations: []
Exploring Operation: 86+37=123, Resulting Numbers: [99, 51, 123]
Generated Node #0,0: 97:[99, 51, 123] Operation: 86+37=123
Exploring Operation: 51+37=88, Resulting Numbers: [99, 86, 88]
Generated Node #0,1: 97:[99, 86, 88] Operation: 51+37=88
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[99, 86, 88], Operations: ['51+37=88']
Exploring Operation: 99-86=13, Resulting Numbers: [88, 13]
Generated Node #0,1,0: 97:[88, 13] Operation: 99-86=13
Exploring Operation: 86+88=174, Resulting Numbers: [99, 174]
Generated Node #0,1,1: 97:[99, 174] Operation: 86+88=174
Moving to Node #0,1,1
Current State: 97:[99, 174], Operations: ['51+37=88', '86+88=174']
Exploring Operation: 99+174=273, Resulting Numbers: [273]
273,97 unequal: No Solution
Exploring Operation: 174-99=75, Resulting Numbers: [75]
75,97 unequal: No Solution
Moving to Node #0,1,0
Current State: 97:[88, 13], Operations: ['51+37=88', '99-86=13']
Exploring Operation: 88-13=75, Resulting Numbers: [75]
75,97 unequal: No Solution
Exploring Operation: 88+13=101, Resulting Numbers: [101]
101,97 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 #0,0
Current State: 97:[99, 51, 123], Operations: ['86+37=123']
Exploring Operation: 99-51=48, Resulting Numbers: [123, 48]
Generated Node #0,0,0: 97:[123, 48] Operation: 99-51=48
Exploring Operation: 123-51=72, Resulting Numbers: [99, 72]
Generated Node #0,0,1: 97:[99, 72] Operation: 123-51=72
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 97:[99, 72], Operations: ['86+37=123', '123-51=72']
Exploring Operation: 99-72=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Exploring Operation: 99+72=171, Resulting Numbers: [171]
171,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[123, 48], Operations: ['86+37=123', '99-51=48']
Exploring Operation: 123-48=75, Resulting Numbers: [75]
75,97 unequal: No Solution
Exploring Operation: 123+48=171, Resulting Numbers: [171]
171,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
91,
83,
13,
54
] | 22 | [
"91/13=7",
"83-54=29",
"29-7=22"
] | Current State: 22:[91, 83, 13, 54], Operations: []
Exploring Operation: 91/13=7, Resulting Numbers: [83, 54, 7]
Generated Node #2: [83, 54, 7] from Operation: 91/13=7
Current State: 22:[83, 54, 7], Operations: ['91/13=7']
Exploring Operation: 83-54=29, Resulting Numbers: [7, 29]
Generated Node #3: [7, 29] from Operation: 83-54=29
Current State: 22:[7, 29], Operations: ['91/13=7', '83-54=29']
Exploring Operation: 29-7=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[91, 83, 13, 54], Operations: []
Exploring Operation: 91-83=8, Resulting Numbers: [13, 54, 8]
Generated Node #0,0: 22:[13, 54, 8] Operation: 91-83=8
Moving to Node #0,0
Current State: 22:[13, 54, 8], Operations: ['91-83=8']
Exploring Operation: 54-13=41, Resulting Numbers: [8, 41]
Generated Node #0,0,0: 22:[8, 41] Operation: 54-13=41
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[8, 41], Operations: ['91-83=8', '54-13=41']
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
52,
3,
23,
9
] | 41 | [
"52+3=55",
"23-9=14",
"55-14=41"
] | Current State: 41:[52, 3, 23, 9], Operations: []
Exploring Operation: 52+3=55, Resulting Numbers: [23, 9, 55]
Generated Node #2: [23, 9, 55] from Operation: 52+3=55
Current State: 41:[23, 9, 55], Operations: ['52+3=55']
Exploring Operation: 23-9=14, Resulting Numbers: [55, 14]
Generated Node #3: [55, 14] from Operation: 23-9=14
Current State: 41:[55, 14], Operations: ['52+3=55', '23-9=14']
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[52, 3, 23, 9], Operations: []
Exploring Operation: 3*9=27, Resulting Numbers: [52, 23, 27]
Generated Node #0,0: 41:[52, 23, 27] Operation: 3*9=27
Exploring Operation: 52-3=49, Resulting Numbers: [23, 9, 49]
Generated Node #0,1: 41:[23, 9, 49] Operation: 52-3=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[52, 23, 27], Operations: ['3*9=27']
Exploring Operation: 52-23=29, Resulting Numbers: [27, 29]
Generated Node #0,0,0: 41:[27, 29] Operation: 52-23=29
Exploring Operation: 23+27=50, Resulting Numbers: [52, 50]
Generated Node #0,0,1: 41:[52, 50] Operation: 23+27=50
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 41:[52, 50], Operations: ['3*9=27', '23+27=50']
Exploring Operation: 52+50=102, Resulting Numbers: [102]
102,41 unequal: No Solution
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[27, 29], Operations: ['3*9=27', '52-23=29']
Exploring Operation: 29-27=2, Resulting Numbers: [2]
2,41 unequal: No Solution
Exploring Operation: 27+29=56, Resulting Numbers: [56]
56,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[23, 9, 49], Operations: ['52-3=49']
Exploring Operation: 49-9=40, Resulting Numbers: [23, 40]
Generated Node #0,1,0: 41:[23, 40] Operation: 49-9=40
Exploring Operation: 23+9=32, Resulting Numbers: [49, 32]
Generated Node #0,1,1: 41:[49, 32] Operation: 23+9=32
Moving to Node #0,1,1
Current State: 41:[49, 32], Operations: ['52-3=49', '23+9=32']
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 49+32=81, Resulting Numbers: [81]
81,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[23, 40], Operations: ['52-3=49', '49-9=40']
Exploring Operation: 23+40=63, Resulting Numbers: [63]
63,41 unequal: No Solution
Exploring Operation: 40-23=17, Resulting Numbers: [17]
17,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
63,
80,
14,
4
] | 55 | [
"14-4=10",
"80/10=8",
"63-8=55"
] | Current State: 55:[63, 80, 14, 4], Operations: []
Exploring Operation: 14-4=10, Resulting Numbers: [63, 80, 10]
Generated Node #2: [63, 80, 10] from Operation: 14-4=10
Current State: 55:[63, 80, 10], Operations: ['14-4=10']
Exploring Operation: 80/10=8, Resulting Numbers: [63, 8]
Generated Node #3: [63, 8] from Operation: 80/10=8
Current State: 55:[63, 8], Operations: ['14-4=10', '80/10=8']
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[63, 80, 14, 4], Operations: []
Exploring Operation: 80-63=17, Resulting Numbers: [14, 4, 17]
Generated Node #0,0: 55:[14, 4, 17] Operation: 80-63=17
Moving to Node #0,0
Current State: 55:[14, 4, 17], Operations: ['80-63=17']
Exploring Operation: 17-14=3, Resulting Numbers: [4, 3]
Generated Node #0,0,0: 55:[4, 3] Operation: 17-14=3
Moving to Node #0,0,0
Current State: 55:[4, 3], Operations: ['80-63=17', '17-14=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,55 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
42,
40,
73,
61
] | 94 | [
"42+40=82",
"73-61=12",
"82+12=94"
] | Current State: 94:[42, 40, 73, 61], Operations: []
Exploring Operation: 42+40=82, Resulting Numbers: [73, 61, 82]
Generated Node #2: [73, 61, 82] from Operation: 42+40=82
Current State: 94:[73, 61, 82], Operations: ['42+40=82']
Exploring Operation: 73-61=12, Resulting Numbers: [82, 12]
Generated Node #3: [82, 12] from Operation: 73-61=12
Current State: 94:[82, 12], Operations: ['42+40=82', '73-61=12']
Exploring Operation: 82+12=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[42, 40, 73, 61], Operations: []
Exploring Operation: 40+61=101, Resulting Numbers: [42, 73, 101]
Generated Node #0,0: 94:[42, 73, 101] Operation: 40+61=101
Exploring Operation: 42-40=2, Resulting Numbers: [73, 61, 2]
Generated Node #0,1: 94:[73, 61, 2] Operation: 42-40=2
Exploring Operation: 73-61=12, Resulting Numbers: [42, 40, 12]
Generated Node #0,2: 94:[42, 40, 12] Operation: 73-61=12
Exploring Operation: 73-40=33, Resulting Numbers: [42, 61, 33]
Generated Node #0,3: 94:[42, 61, 33] Operation: 73-40=33
Exploring Operation: 73-42=31, Resulting Numbers: [40, 61, 31]
Generated Node #0,4: 94:[40, 61, 31] Operation: 73-42=31
Moving to Node #0,2
Current State: 94:[42, 40, 12], Operations: ['73-61=12']
Exploring Operation: 42+40=82, Resulting Numbers: [12, 82]
Generated Node #0,2,0: 94:[12, 82] Operation: 42+40=82
Exploring Operation: 42+12=54, Resulting Numbers: [40, 54]
Generated Node #0,2,1: 94:[40, 54] Operation: 42+12=54
Exploring Operation: 42-40=2, Resulting Numbers: [12, 2]
Generated Node #0,2,2: 94:[12, 2] Operation: 42-40=2
Exploring Operation: 40+12=52, Resulting Numbers: [42, 52]
Generated Node #0,2,3: 94:[42, 52] Operation: 40+12=52
Exploring Operation: 42-12=30, Resulting Numbers: [40, 30]
Generated Node #0,2,4: 94:[40, 30] Operation: 42-12=30
Moving to Node #0,3
Current State: 94:[42, 61, 33], Operations: ['73-40=33']
Exploring Operation: 42+61=103, Resulting Numbers: [33, 103]
Generated Node #0,3,0: 94:[33, 103] Operation: 42+61=103
Exploring Operation: 61+33=94, Resulting Numbers: [42, 94]
Generated Node #0,3,1: 94:[42, 94] Operation: 61+33=94
Exploring Operation: 61-33=28, Resulting Numbers: [42, 28]
Generated Node #0,3,2: 94:[42, 28] Operation: 61-33=28
Exploring Operation: 42-33=9, Resulting Numbers: [61, 9]
Generated Node #0,3,3: 94:[61, 9] Operation: 42-33=9
Exploring Operation: 61-42=19, Resulting Numbers: [33, 19]
Generated Node #0,3,4: 94:[33, 19] Operation: 61-42=19
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 94:[42, 94], Operations: ['73-40=33', '61+33=94']
Exploring Operation: 94-42=52, Resulting Numbers: [52]
52,94 unequal: No Solution
Exploring Operation: 42*94=3948, Resulting Numbers: [3948]
3948,94 unequal: No Solution
Exploring Operation: 42+94=136, Resulting Numbers: [136]
136,94 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 #0,3,3
Current State: 94:[61, 9], Operations: ['73-40=33', '42-33=9']
Exploring Operation: 61+9=70, Resulting Numbers: [70]
70,94 unequal: No Solution
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,94 unequal: No Solution
Exploring Operation: 61*9=549, Resulting Numbers: [549]
549,94 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 #0,3,0
Current State: 94:[33, 103], Operations: ['73-40=33', '42+61=103']
Exploring Operation: 33+103=136, Resulting Numbers: [136]
136,94 unequal: No Solution
Exploring Operation: 103-33=70, Resulting Numbers: [70]
70,94 unequal: No Solution
Exploring Operation: 33*103=3399, Resulting Numbers: [3399]
3399,94 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 #0,3,2
Current State: 94:[42, 28], Operations: ['73-40=33', '61-33=28']
Exploring Operation: 42+28=70, Resulting Numbers: [70]
70,94 unequal: No Solution
Exploring Operation: 42*28=1176, Resulting Numbers: [1176]
1176,94 unequal: No Solution
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,94 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 #0,3,4
Current State: 94:[33, 19], Operations: ['73-40=33', '61-42=19']
Exploring Operation: 33*19=627, Resulting Numbers: [627]
627,94 unequal: No Solution
Exploring Operation: 33-19=14, Resulting Numbers: [14]
14,94 unequal: No Solution
Exploring Operation: 33+19=52, Resulting Numbers: [52]
52,94 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: 94:[42, 73, 101], Operations: ['40+61=101']
Exploring Operation: 42+73=115, Resulting Numbers: [101, 115]
Generated Node #0,0,0: 94:[101, 115] Operation: 42+73=115
Exploring Operation: 42+101=143, Resulting Numbers: [73, 143]
Generated Node #0,0,1: 94:[73, 143] Operation: 42+101=143
Exploring Operation: 101-73=28, Resulting Numbers: [42, 28]
Generated Node #0,0,2: 94:[42, 28] Operation: 101-73=28
Exploring Operation: 101-42=59, Resulting Numbers: [73, 59]
Generated Node #0,0,3: 94:[73, 59] Operation: 101-42=59
Exploring Operation: 73-42=31, Resulting Numbers: [101, 31]
Generated Node #0,0,4: 94:[101, 31] Operation: 73-42=31
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 94:[101, 31], Operations: ['40+61=101', '73-42=31']
Exploring Operation: 101+31=132, Resulting Numbers: [132]
132,94 unequal: No Solution
Exploring Operation: 101*31=3131, Resulting Numbers: [3131]
3131,94 unequal: No Solution
Exploring Operation: 101-31=70, Resulting Numbers: [70]
70,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 94:[42, 28], Operations: ['40+61=101', '101-73=28']
Exploring Operation: 42*28=1176, Resulting Numbers: [1176]
1176,94 unequal: No Solution
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,94 unequal: No Solution
Exploring Operation: 42+28=70, Resulting Numbers: [70]
70,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[101, 115], Operations: ['40+61=101', '42+73=115']
Exploring Operation: 115-101=14, Resulting Numbers: [14]
14,94 unequal: No Solution
Exploring Operation: 101+115=216, Resulting Numbers: [216]
216,94 unequal: No Solution
Exploring Operation: 101*115=11615, Resulting Numbers: [11615]
11615,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 94:[73, 59], Operations: ['40+61=101', '101-42=59']
Exploring Operation: 73-59=14, Resulting Numbers: [14]
14,94 unequal: No Solution
Exploring Operation: 73+59=132, Resulting Numbers: [132]
132,94 unequal: No Solution
Exploring Operation: 73*59=4307, Resulting Numbers: [4307]
4307,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 94:[73, 143], Operations: ['40+61=101', '42+101=143']
Exploring Operation: 73*143=10439, Resulting Numbers: [10439]
10439,94 unequal: No Solution
Exploring Operation: 73+143=216, Resulting Numbers: [216]
216,94 unequal: No Solution
Exploring Operation: 143-73=70, Resulting Numbers: [70]
70,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 94:[73, 61, 2], Operations: ['42-40=2']
Exploring Operation: 73-61=12, Resulting Numbers: [2, 12]
Generated Node #0,1,0: 94:[2, 12] Operation: 73-61=12
Exploring Operation: 61-2=59, Resulting Numbers: [73, 59]
Generated Node #0,1,1: 94:[73, 59] Operation: 61-2=59
Exploring Operation: 73-2=71, Resulting Numbers: [61, 71]
Generated Node #0,1,2: 94:[61, 71] Operation: 73-2=71
Exploring Operation: 73+2=75, Resulting Numbers: [61, 75]
Generated Node #0,1,3: 94:[61, 75] Operation: 73+2=75
Exploring Operation: 61+2=63, Resulting Numbers: [73, 63]
Generated Node #0,1,4: 94:[73, 63] Operation: 61+2=63
Moving to Node #0,4
Current State: 94:[40, 61, 31], Operations: ['73-42=31']
Exploring Operation: 61-40=21, Resulting Numbers: [31, 21]
Generated Node #0,4,0: 94:[31, 21] Operation: 61-40=21
Exploring Operation: 40-31=9, Resulting Numbers: [61, 9]
Generated Node #0,4,1: 94:[61, 9] Operation: 40-31=9
Exploring Operation: 40+61=101, Resulting Numbers: [31, 101]
Generated Node #0,4,2: 94:[31, 101] Operation: 40+61=101
Exploring Operation: 61+31=92, Resulting Numbers: [40, 92]
Generated Node #0,4,3: 94:[40, 92] Operation: 61+31=92
Exploring Operation: 61-31=30, Resulting Numbers: [40, 30]
Generated Node #0,4,4: 94:[40, 30] Operation: 61-31=30
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 94:[40, 92], Operations: ['73-42=31', '61+31=92']
Exploring Operation: 92-40=52, Resulting Numbers: [52]
52,94 unequal: No Solution
Exploring Operation: 40*92=3680, Resulting Numbers: [3680]
3680,94 unequal: No Solution
Exploring Operation: 40+92=132, Resulting Numbers: [132]
132,94 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 #0,4,1
Current State: 94:[61, 9], Operations: ['73-42=31', '40-31=9']
Exploring Operation: 61+9=70, Resulting Numbers: [70]
70,94 unequal: No Solution
Exploring Operation: 61*9=549, Resulting Numbers: [549]
549,94 unequal: No Solution
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,94 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 #0,4,2
Current State: 94:[31, 101], Operations: ['73-42=31', '40+61=101']
Exploring Operation: 31+101=132, Resulting Numbers: [132]
132,94 unequal: No Solution
Exploring Operation: 101-31=70, Resulting Numbers: [70]
70,94 unequal: No Solution
Exploring Operation: 31*101=3131, Resulting Numbers: [3131]
3131,94 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 #0,4,4
Current State: 94:[40, 30], Operations: ['73-42=31', '61-31=30']
Exploring Operation: 40*30=1200, Resulting Numbers: [1200]
1200,94 unequal: No Solution
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Exploring Operation: 40+30=70, Resulting Numbers: [70]
70,94 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 #0,4,0
Current State: 94:[31, 21], Operations: ['73-42=31', '61-40=21']
Exploring Operation: 31-21=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Exploring Operation: 31+21=52, Resulting Numbers: [52]
52,94 unequal: No Solution
Exploring Operation: 31*21=651, Resulting Numbers: [651]
651,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 94:[12, 2], Operations: ['73-61=12', '42-40=2']
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,94 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,94 unequal: No Solution
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,94 unequal: No Solution
Moving to Node #0,1,0
Current State: 94:[2, 12], Operations: ['42-40=2', '73-61=12']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,94 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,94 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,94 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Moving to Node #0,2,3
Current State: 94:[42, 52], Operations: ['73-61=12', '40+12=52']
Exploring Operation: 42*52=2184, Resulting Numbers: [2184]
2184,94 unequal: No Solution
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,94 unequal: No Solution
Exploring Operation: 42+52=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[42, 40, 73, 61], Operations: []
Exploring Operation: 73-61=12, Resulting Numbers: [42, 40, 12]
Generated Node #0,2: 94:[42, 40, 12] Operation: 73-61=12
Moving to Node #0,2
Current State: 94:[42, 40, 12], Operations: ['73-61=12']
Exploring Operation: 40+12=52, Resulting Numbers: [42, 52]
Generated Node #0,2,3: 94:[42, 52] Operation: 40+12=52
Moving to Node #0,2,3
Current State: 94:[42, 52], Operations: ['73-61=12', '40+12=52']
Exploring Operation: 42+52=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 0.921875 | hs_5 | mult_heuristic |
[
19,
3,
80,
29
] | 30 | [
"80-19=61",
"29+61=90",
"90/3=30"
] | Current State: 30:[19, 3, 80, 29], Operations: []
Exploring Operation: 80-19=61, Resulting Numbers: [3, 29, 61]
Generated Node #2: [3, 29, 61] from Operation: 80-19=61
Current State: 30:[3, 29, 61], Operations: ['80-19=61']
Exploring Operation: 29+61=90, Resulting Numbers: [3, 90]
Generated Node #3: [3, 90] from Operation: 29+61=90
Current State: 30:[3, 90], Operations: ['80-19=61', '29+61=90']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[19, 3, 80, 29], Operations: []
Exploring Operation: 29-19=10, Resulting Numbers: [3, 80, 10]
Generated Node #0,0: 30:[3, 80, 10] Operation: 29-19=10
Exploring Operation: 80-29=51, Resulting Numbers: [19, 3, 51]
Generated Node #0,1: 30:[19, 3, 51] Operation: 80-29=51
Exploring Operation: 19-3=16, Resulting Numbers: [80, 29, 16]
Generated Node #0,2: 30:[80, 29, 16] Operation: 19-3=16
Exploring Operation: 80-19=61, Resulting Numbers: [3, 29, 61]
Generated Node #0,3: 30:[3, 29, 61] Operation: 80-19=61
Moving to Node #0,1
Current State: 30:[19, 3, 51], Operations: ['80-29=51']
Exploring Operation: 19-3=16, Resulting Numbers: [51, 16]
Generated Node #0,1,0: 30:[51, 16] Operation: 19-3=16
Exploring Operation: 51/3=17, Resulting Numbers: [19, 17]
Generated Node #0,1,1: 30:[19, 17] Operation: 51/3=17
Exploring Operation: 51-19=32, Resulting Numbers: [3, 32]
Generated Node #0,1,2: 30:[3, 32] Operation: 51-19=32
Exploring Operation: 51-3=48, Resulting Numbers: [19, 48]
Generated Node #0,1,3: 30:[19, 48] Operation: 51-3=48
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 30:[3, 32], Operations: ['80-29=51', '51-19=32']
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,30 unequal: No Solution
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,30 unequal: No Solution
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 30:[19, 17], Operations: ['80-29=51', '51/3=17']
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 19*17=323, Resulting Numbers: [323]
323,30 unequal: No Solution
Exploring Operation: 19+17=36, Resulting Numbers: [36]
36,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 30:[51, 16], Operations: ['80-29=51', '19-3=16']
Exploring Operation: 51-16=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 51*16=816, Resulting Numbers: [816]
816,30 unequal: No Solution
Exploring Operation: 51+16=67, Resulting Numbers: [67]
67,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 30:[19, 48], Operations: ['80-29=51', '51-3=48']
Exploring Operation: 19*48=912, Resulting Numbers: [912]
912,30 unequal: No Solution
Exploring Operation: 19+48=67, Resulting Numbers: [67]
67,30 unequal: No Solution
Exploring Operation: 48-19=29, Resulting Numbers: [29]
29,30 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: 30:[3, 29, 61], Operations: ['80-19=61']
Exploring Operation: 61-29=32, Resulting Numbers: [3, 32]
Generated Node #0,3,0: 30:[3, 32] Operation: 61-29=32
Exploring Operation: 3+29=32, Resulting Numbers: [61, 32]
Generated Node #0,3,1: 30:[61, 32] Operation: 3+29=32
Exploring Operation: 29-3=26, Resulting Numbers: [61, 26]
Generated Node #0,3,2: 30:[61, 26] Operation: 29-3=26
Exploring Operation: 61-3=58, Resulting Numbers: [29, 58]
Generated Node #0,3,3: 30:[29, 58] Operation: 61-3=58
Moving to Node #0,0
Current State: 30:[3, 80, 10], Operations: ['29-19=10']
Exploring Operation: 80-3=77, Resulting Numbers: [10, 77]
Generated Node #0,0,0: 30:[10, 77] Operation: 80-3=77
Exploring Operation: 3*10=30, Resulting Numbers: [80, 30]
Generated Node #0,0,1: 30:[80, 30] Operation: 3*10=30
Exploring Operation: 80-10=70, Resulting Numbers: [3, 70]
Generated Node #0,0,2: 30:[3, 70] Operation: 80-10=70
Exploring Operation: 80/10=8, Resulting Numbers: [3, 8]
Generated Node #0,0,3: 30:[3, 8] Operation: 80/10=8
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 30:[3, 8], Operations: ['29-19=10', '80/10=8']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 30:[3, 70], Operations: ['29-19=10', '80-10=70']
Exploring Operation: 3*70=210, Resulting Numbers: [210]
210,30 unequal: No Solution
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,30 unequal: No Solution
Exploring Operation: 3+70=73, Resulting Numbers: [73]
73,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[10, 77], Operations: ['29-19=10', '80-3=77']
Exploring Operation: 10*77=770, Resulting Numbers: [770]
770,30 unequal: No Solution
Exploring Operation: 10+77=87, Resulting Numbers: [87]
87,30 unequal: No Solution
Exploring Operation: 77-10=67, Resulting Numbers: [67]
67,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 30:[80, 30], Operations: ['29-19=10', '3*10=30']
Exploring Operation: 80-30=50, Resulting Numbers: [50]
50,30 unequal: No Solution
Exploring Operation: 80+30=110, Resulting Numbers: [110]
110,30 unequal: No Solution
Exploring Operation: 80*30=2400, Resulting Numbers: [2400]
2400,30 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: 30:[80, 29, 16], Operations: ['19-3=16']
Exploring Operation: 29-16=13, Resulting Numbers: [80, 13]
Generated Node #0,2,0: 30:[80, 13] Operation: 29-16=13
Exploring Operation: 80-16=64, Resulting Numbers: [29, 64]
Generated Node #0,2,1: 30:[29, 64] Operation: 80-16=64
Exploring Operation: 80/16=5, Resulting Numbers: [29, 5]
Generated Node #0,2,2: 30:[29, 5] Operation: 80/16=5
Exploring Operation: 80-29=51, Resulting Numbers: [16, 51]
Generated Node #0,2,3: 30:[16, 51] Operation: 80-29=51
Moving to Node #0,2,2
Current State: 30:[29, 5], Operations: ['19-3=16', '80/16=5']
Exploring Operation: 29*5=145, Resulting Numbers: [145]
145,30 unequal: No Solution
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Exploring Operation: 29+5=34, Resulting Numbers: [34]
34,30 unequal: No Solution
Moving to Node #0,3,0
Current State: 30:[3, 32], Operations: ['80-19=61', '61-29=32']
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 3*32=96, Resulting Numbers: [96]
96,30 unequal: No Solution
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,30 unequal: No Solution
Moving to Node #0,2,3
Current State: 30:[16, 51], Operations: ['19-3=16', '80-29=51']
Exploring Operation: 51-16=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 16+51=67, Resulting Numbers: [67]
67,30 unequal: No Solution
Exploring Operation: 16*51=816, Resulting Numbers: [816]
816,30 unequal: No Solution
Moving to Node #0,3,3
Current State: 30:[29, 58], Operations: ['80-19=61', '61-3=58']
Exploring Operation: 29*58=1682, Resulting Numbers: [1682]
1682,30 unequal: No Solution
Exploring Operation: 29+58=87, Resulting Numbers: [87]
87,30 unequal: No Solution
Exploring Operation: 58/29=2, Resulting Numbers: [2]
2,30 unequal: No Solution
Exploring Operation: 58-29=29, Resulting Numbers: [29]
29,30 unequal: No Solution
Moving to Node #0,3,1
Current State: 30:[61, 32], Operations: ['80-19=61', '3+29=32']
Exploring Operation: 61-32=29, Resulting Numbers: [29]
29,30 unequal: No Solution
Exploring Operation: 61*32=1952, Resulting Numbers: [1952]
1952,30 unequal: No Solution
Exploring Operation: 61+32=93, Resulting Numbers: [93]
93,30 unequal: No Solution
Moving to Node #0,3,2
Current State: 30:[61, 26], Operations: ['80-19=61', '29-3=26']
Exploring Operation: 61-26=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 61*26=1586, Resulting Numbers: [1586]
1586,30 unequal: No Solution
Exploring Operation: 61+26=87, Resulting Numbers: [87]
87,30 unequal: No Solution
Moving to Node #0,2,1
Current State: 30:[29, 64], Operations: ['19-3=16', '80-16=64']
Exploring Operation: 29+64=93, Resulting Numbers: [93]
93,30 unequal: No Solution
Exploring Operation: 29*64=1856, Resulting Numbers: [1856]
1856,30 unequal: No Solution
Exploring Operation: 64-29=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Moving to Node #0,2,0
Current State: 30:[80, 13], Operations: ['19-3=16', '29-16=13']
Exploring Operation: 80+13=93, Resulting Numbers: [93]
93,30 unequal: No Solution
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,30 unequal: No Solution
Exploring Operation: 80*13=1040, Resulting Numbers: [1040]
1040,30 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
63,
70,
52,
9
] | 42 | [
"63/9=7",
"70/7=10",
"52-10=42"
] | Current State: 42:[63, 70, 52, 9], Operations: []
Exploring Operation: 63/9=7, Resulting Numbers: [70, 52, 7]
Generated Node #2: [70, 52, 7] from Operation: 63/9=7
Current State: 42:[70, 52, 7], Operations: ['63/9=7']
Exploring Operation: 70/7=10, Resulting Numbers: [52, 10]
Generated Node #3: [52, 10] from Operation: 70/7=10
Current State: 42:[52, 10], Operations: ['63/9=7', '70/7=10']
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[63, 70, 52, 9], Operations: []
Exploring Operation: 63-52=11, Resulting Numbers: [70, 9, 11]
Generated Node #0,0: 42:[70, 9, 11] Operation: 63-52=11
Exploring Operation: 70-63=7, Resulting Numbers: [52, 9, 7]
Generated Node #0,1: 42:[52, 9, 7] Operation: 70-63=7
Exploring Operation: 63/9=7, Resulting Numbers: [70, 52, 7]
Generated Node #0,2: 42:[70, 52, 7] Operation: 63/9=7
Exploring Operation: 70-52=18, Resulting Numbers: [63, 9, 18]
Generated Node #0,3: 42:[63, 9, 18] Operation: 70-52=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 42:[52, 9, 7], Operations: ['70-63=7']
Exploring Operation: 52-7=45, Resulting Numbers: [9, 45]
Generated Node #0,1,0: 42:[9, 45] Operation: 52-7=45
Exploring Operation: 9+7=16, Resulting Numbers: [52, 16]
Generated Node #0,1,1: 42:[52, 16] Operation: 9+7=16
Exploring Operation: 9-7=2, Resulting Numbers: [52, 2]
Generated Node #0,1,2: 42:[52, 2] Operation: 9-7=2
Exploring Operation: 52-9=43, Resulting Numbers: [7, 43]
Generated Node #0,1,3: 42:[7, 43] Operation: 52-9=43
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 42:[7, 43], Operations: ['70-63=7', '52-9=43']
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,42 unequal: No Solution
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,42 unequal: No Solution
Exploring Operation: 7*43=301, Resulting Numbers: [301]
301,42 unequal: No Solution
No 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: 42:[9, 45], Operations: ['70-63=7', '52-7=45']
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,42 unequal: No Solution
Exploring Operation: 9+45=54, Resulting Numbers: [54]
54,42 unequal: No Solution
Exploring Operation: 9*45=405, Resulting Numbers: [405]
405,42 unequal: No Solution
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,42 unequal: No Solution
No 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: 42:[52, 2], Operations: ['70-63=7', '9-7=2']
Exploring Operation: 52*2=104, Resulting Numbers: [104]
104,42 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,42 unequal: No Solution
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,42 unequal: No Solution
No 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: 42:[52, 16], Operations: ['70-63=7', '9+7=16']
Exploring Operation: 52+16=68, Resulting Numbers: [68]
68,42 unequal: No Solution
Exploring Operation: 52-16=36, Resulting Numbers: [36]
36,42 unequal: No Solution
Exploring Operation: 52*16=832, Resulting Numbers: [832]
832,42 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: 42:[63, 9, 18], Operations: ['70-52=18']
Exploring Operation: 63/9=7, Resulting Numbers: [18, 7]
Generated Node #0,3,0: 42:[18, 7] Operation: 63/9=7
Exploring Operation: 63-18=45, Resulting Numbers: [9, 45]
Generated Node #0,3,1: 42:[9, 45] Operation: 63-18=45
Exploring Operation: 18/9=2, Resulting Numbers: [63, 2]
Generated Node #0,3,2: 42:[63, 2] Operation: 18/9=2
Exploring Operation: 63-9=54, Resulting Numbers: [18, 54]
Generated Node #0,3,3: 42:[18, 54] Operation: 63-9=54
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 42:[18, 7], Operations: ['70-52=18', '63/9=7']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,42 unequal: No Solution
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,42 unequal: No Solution
Exploring Operation: 18*7=126, Resulting Numbers: [126]
126,42 unequal: No Solution
No 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: 42:[9, 45], Operations: ['70-52=18', '63-18=45']
Exploring Operation: 9*45=405, Resulting Numbers: [405]
405,42 unequal: No Solution
Exploring Operation: 9+45=54, Resulting Numbers: [54]
54,42 unequal: No Solution
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,42 unequal: No Solution
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,42 unequal: No Solution
No 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: 42:[18, 54], Operations: ['70-52=18', '63-9=54']
Exploring Operation: 18*54=972, Resulting Numbers: [972]
972,42 unequal: No Solution
Exploring Operation: 18+54=72, Resulting Numbers: [72]
72,42 unequal: No Solution
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,42 unequal: No Solution
Exploring Operation: 54/18=3, Resulting Numbers: [3]
3,42 unequal: No Solution
No 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: 42:[63, 2], Operations: ['70-52=18', '18/9=2']
Exploring Operation: 63*2=126, Resulting Numbers: [126]
126,42 unequal: No Solution
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,42 unequal: No Solution
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,42 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: 42:[70, 9, 11], Operations: ['63-52=11']
Exploring Operation: 9+11=20, Resulting Numbers: [70, 20]
Generated Node #0,0,0: 42:[70, 20] Operation: 9+11=20
Exploring Operation: 70-9=61, Resulting Numbers: [11, 61]
Generated Node #0,0,1: 42:[11, 61] Operation: 70-9=61
Exploring Operation: 11-9=2, Resulting Numbers: [70, 2]
Generated Node #0,0,2: 42:[70, 2] Operation: 11-9=2
Exploring Operation: 70-11=59, Resulting Numbers: [9, 59]
Generated Node #0,0,3: 42:[9, 59] Operation: 70-11=59
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 42:[9, 59], Operations: ['63-52=11', '70-11=59']
Exploring Operation: 9*59=531, Resulting Numbers: [531]
531,42 unequal: No Solution
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,42 unequal: No Solution
Exploring Operation: 9+59=68, Resulting Numbers: [68]
68,42 unequal: No Solution
No 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: 42:[11, 61], Operations: ['63-52=11', '70-9=61']
Exploring Operation: 11*61=671, Resulting Numbers: [671]
671,42 unequal: No Solution
Exploring Operation: 11+61=72, Resulting Numbers: [72]
72,42 unequal: No Solution
Exploring Operation: 61-11=50, Resulting Numbers: [50]
50,42 unequal: No Solution
No 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: 42:[70, 2], Operations: ['63-52=11', '11-9=2']
Exploring Operation: 70*2=140, Resulting Numbers: [140]
140,42 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,42 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Exploring Operation: 70+2=72, Resulting Numbers: [72]
72,42 unequal: No Solution
No 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: 42:[70, 20], Operations: ['63-52=11', '9+11=20']
Exploring Operation: 70*20=1400, Resulting Numbers: [1400]
1400,42 unequal: No Solution
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,42 unequal: No Solution
Exploring Operation: 70+20=90, Resulting Numbers: [90]
90,42 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: 42:[70, 52, 7], Operations: ['63/9=7']
Exploring Operation: 70-7=63, Resulting Numbers: [52, 63]
Generated Node #0,2,0: 42:[52, 63] Operation: 70-7=63
Exploring Operation: 52-7=45, Resulting Numbers: [70, 45]
Generated Node #0,2,1: 42:[70, 45] Operation: 52-7=45
Exploring Operation: 70-52=18, Resulting Numbers: [7, 18]
Generated Node #0,2,2: 42:[7, 18] Operation: 70-52=18
Exploring Operation: 70/7=10, Resulting Numbers: [52, 10]
Generated Node #0,2,3: 42:[52, 10] Operation: 70/7=10
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 42:[7, 18], Operations: ['63/9=7', '70-52=18']
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,42 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,42 unequal: No Solution
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,42 unequal: No Solution
No 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: 42:[52, 10], Operations: ['63/9=7', '70/7=10']
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[63, 70, 52, 9], Operations: []
Exploring Operation: 63/9=7, Resulting Numbers: [70, 52, 7]
Generated Node #0,2: 42:[70, 52, 7] Operation: 63/9=7
Moving to Node #0,2
Current State: 42:[70, 52, 7], Operations: ['63/9=7']
Exploring Operation: 70/7=10, Resulting Numbers: [52, 10]
Generated Node #0,2,3: 42:[52, 10] Operation: 70/7=10
Moving to Node #0,2,3
Current State: 42:[52, 10], Operations: ['63/9=7', '70/7=10']
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.940104 | hs_4 | sum_heuristic |
[
91,
33,
22,
4
] | 20 | [
"91-33=58",
"22+58=80",
"80/4=20"
] | Current State: 20:[91, 33, 22, 4], Operations: []
Exploring Operation: 91-33=58, Resulting Numbers: [22, 4, 58]
Generated Node #2: [22, 4, 58] from Operation: 91-33=58
Current State: 20:[22, 4, 58], Operations: ['91-33=58']
Exploring Operation: 22+58=80, Resulting Numbers: [4, 80]
Generated Node #3: [4, 80] from Operation: 22+58=80
Current State: 20:[4, 80], Operations: ['91-33=58', '22+58=80']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[91, 33, 22, 4], Operations: []
Exploring Operation: 91-33=58, Resulting Numbers: [22, 4, 58]
Generated Node #0,0: 20:[22, 4, 58] Operation: 91-33=58
Moving to Node #0,0
Current State: 20:[22, 4, 58], Operations: ['91-33=58']
Exploring Operation: 58-22=36, Resulting Numbers: [4, 36]
Generated Node #0,0,0: 20:[4, 36] Operation: 58-22=36
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 20:[4, 36], Operations: ['91-33=58', '58-22=36']
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
47,
16,
56,
5
] | 89 | [
"56-47=9",
"16*5=80",
"9+80=89"
] | Current State: 89:[47, 16, 56, 5], Operations: []
Exploring Operation: 56-47=9, Resulting Numbers: [16, 5, 9]
Generated Node #2: [16, 5, 9] from Operation: 56-47=9
Current State: 89:[16, 5, 9], Operations: ['56-47=9']
Exploring Operation: 16*5=80, Resulting Numbers: [9, 80]
Generated Node #3: [9, 80] from Operation: 16*5=80
Current State: 89:[9, 80], Operations: ['56-47=9', '16*5=80']
Exploring Operation: 9+80=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[47, 16, 56, 5], Operations: []
Exploring Operation: 16*5=80, Resulting Numbers: [47, 56, 80]
Generated Node #0,0: 89:[47, 56, 80] Operation: 16*5=80
Exploring Operation: 47+16=63, Resulting Numbers: [56, 5, 63]
Generated Node #0,1: 89:[56, 5, 63] Operation: 47+16=63
Exploring Operation: 47+5=52, Resulting Numbers: [16, 56, 52]
Generated Node #0,2: 89:[16, 56, 52] Operation: 47+5=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[47, 56, 80], Operations: ['16*5=80']
Exploring Operation: 56-47=9, Resulting Numbers: [80, 9]
Generated Node #0,0,0: 89:[80, 9] Operation: 56-47=9
Exploring Operation: 47+56=103, Resulting Numbers: [80, 103]
Generated Node #0,0,1: 89:[80, 103] Operation: 47+56=103
Exploring Operation: 47+80=127, Resulting Numbers: [56, 127]
Generated Node #0,0,2: 89:[56, 127] Operation: 47+80=127
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[80, 103], Operations: ['16*5=80', '47+56=103']
Exploring Operation: 103-80=23, Resulting Numbers: [23]
23,89 unequal: No Solution
Exploring Operation: 80+103=183, Resulting Numbers: [183]
183,89 unequal: No Solution
Exploring Operation: 80*103=8240, Resulting Numbers: [8240]
8240,89 unequal: No Solution
No 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: 89:[56, 127], Operations: ['16*5=80', '47+80=127']
Exploring Operation: 56+127=183, Resulting Numbers: [183]
183,89 unequal: No Solution
Exploring Operation: 127-56=71, Resulting Numbers: [71]
71,89 unequal: No Solution
Exploring Operation: 56*127=7112, Resulting Numbers: [7112]
7112,89 unequal: No Solution
No 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: 89:[80, 9], Operations: ['16*5=80', '56-47=9']
Exploring Operation: 80*9=720, Resulting Numbers: [720]
720,89 unequal: No Solution
Exploring Operation: 80+9=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[47, 16, 56, 5], Operations: []
Exploring Operation: 16*5=80, Resulting Numbers: [47, 56, 80]
Generated Node #0,0: 89:[47, 56, 80] Operation: 16*5=80
Moving to Node #0,0
Current State: 89:[47, 56, 80], Operations: ['16*5=80']
Exploring Operation: 56-47=9, Resulting Numbers: [80, 9]
Generated Node #0,0,0: 89:[80, 9] Operation: 56-47=9
Moving to Node #0,0,0
Current State: 89:[80, 9], Operations: ['16*5=80', '56-47=9']
Exploring Operation: 80+9=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_3 | sum_heuristic |
[
8,
41,
69,
67
] | 51 | [
"8+41=49",
"69-67=2",
"49+2=51"
] | Current State: 51:[8, 41, 69, 67], Operations: []
Exploring Operation: 8+41=49, Resulting Numbers: [69, 67, 49]
Generated Node #2: [69, 67, 49] from Operation: 8+41=49
Current State: 51:[69, 67, 49], Operations: ['8+41=49']
Exploring Operation: 69-67=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 69-67=2
Current State: 51:[49, 2], Operations: ['8+41=49', '69-67=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[8, 41, 69, 67], Operations: []
Exploring Operation: 67-41=26, Resulting Numbers: [8, 69, 26]
Generated Node #0,0: 51:[8, 69, 26] Operation: 67-41=26
Exploring Operation: 69-41=28, Resulting Numbers: [8, 67, 28]
Generated Node #0,1: 51:[8, 67, 28] Operation: 69-41=28
Exploring Operation: 69-67=2, Resulting Numbers: [8, 41, 2]
Generated Node #0,2: 51:[8, 41, 2] Operation: 69-67=2
Exploring Operation: 8+41=49, Resulting Numbers: [69, 67, 49]
Generated Node #0,3: 51:[69, 67, 49] Operation: 8+41=49
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[8, 41, 2], Operations: ['69-67=2']
Exploring Operation: 8+41=49, Resulting Numbers: [2, 49]
Generated Node #0,2,0: 51:[2, 49] Operation: 8+41=49
Exploring Operation: 8/2=4, Resulting Numbers: [41, 4]
Generated Node #0,2,1: 51:[41, 4] Operation: 8/2=4
Exploring Operation: 8*2=16, Resulting Numbers: [41, 16]
Generated Node #0,2,2: 51:[41, 16] Operation: 8*2=16
Exploring Operation: 8-2=6, Resulting Numbers: [41, 6]
Generated Node #0,2,3: 51:[41, 6] Operation: 8-2=6
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 51:[2, 49], Operations: ['69-67=2', '8+41=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,51 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,51 unequal: No Solution
Exploring Operation: 2+49=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[8, 41, 69, 67], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [8, 41, 2]
Generated Node #0,2: 51:[8, 41, 2] Operation: 69-67=2
Moving to Node #0,2
Current State: 51:[8, 41, 2], Operations: ['69-67=2']
Exploring Operation: 8+41=49, Resulting Numbers: [2, 49]
Generated Node #0,2,0: 51:[2, 49] Operation: 8+41=49
Moving to Node #0,2,0
Current State: 51:[2, 49], Operations: ['69-67=2', '8+41=49']
Exploring Operation: 2+49=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 |
[
19,
3,
59,
97
] | 19 | [
"19*3=57",
"97-59=38",
"57-38=19"
] | Current State: 19:[19, 3, 59, 97], Operations: []
Exploring Operation: 19*3=57, Resulting Numbers: [59, 97, 57]
Generated Node #2: [59, 97, 57] from Operation: 19*3=57
Current State: 19:[59, 97, 57], Operations: ['19*3=57']
Exploring Operation: 97-59=38, Resulting Numbers: [57, 38]
Generated Node #3: [57, 38] from Operation: 97-59=38
Current State: 19:[57, 38], Operations: ['19*3=57', '97-59=38']
Exploring Operation: 57-38=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[19, 3, 59, 97], Operations: []
Exploring Operation: 97-59=38, Resulting Numbers: [19, 3, 38]
Generated Node #0,0: 19:[19, 3, 38] Operation: 97-59=38
Exploring Operation: 59-19=40, Resulting Numbers: [3, 97, 40]
Generated Node #0,1: 19:[3, 97, 40] Operation: 59-19=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[19, 3, 38], Operations: ['97-59=38']
Exploring Operation: 38-3=35, Resulting Numbers: [19, 35]
Generated Node #0,0,0: 19:[19, 35] Operation: 38-3=35
Exploring Operation: 38-19=19, Resulting Numbers: [3, 19]
Generated Node #0,0,1: 19:[3, 19] Operation: 38-19=19
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[19, 35], Operations: ['97-59=38', '38-3=35']
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,19 unequal: No Solution
Exploring Operation: 19+35=54, Resulting Numbers: [54]
54,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 19:[3, 19], Operations: ['97-59=38', '38-19=19']
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,19 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[3, 97, 40], Operations: ['59-19=40']
Exploring Operation: 97-40=57, Resulting Numbers: [3, 57]
Generated Node #0,1,0: 19:[3, 57] Operation: 97-40=57
Exploring Operation: 97-3=94, Resulting Numbers: [40, 94]
Generated Node #0,1,1: 19:[40, 94] Operation: 97-3=94
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 19:[3, 57], Operations: ['59-19=40', '97-40=57']
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,19 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[19, 3, 59, 97], Operations: []
Exploring Operation: 59-19=40, Resulting Numbers: [3, 97, 40]
Generated Node #0,1: 19:[3, 97, 40] Operation: 59-19=40
Moving to Node #0,1
Current State: 19:[3, 97, 40], Operations: ['59-19=40']
Exploring Operation: 97-40=57, Resulting Numbers: [3, 57]
Generated Node #0,1,0: 19:[3, 57] Operation: 97-40=57
Moving to Node #0,1,0
Current State: 19:[3, 57], Operations: ['59-19=40', '97-40=57']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
5,
15,
18,
36
] | 39 | [
"5*18=90",
"15+36=51",
"90-51=39"
] | Current State: 39:[5, 15, 18, 36], Operations: []
Exploring Operation: 5*18=90, Resulting Numbers: [15, 36, 90]
Generated Node #2: [15, 36, 90] from Operation: 5*18=90
Current State: 39:[15, 36, 90], Operations: ['5*18=90']
Exploring Operation: 15+36=51, Resulting Numbers: [90, 51]
Generated Node #3: [90, 51] from Operation: 15+36=51
Current State: 39:[90, 51], Operations: ['5*18=90', '15+36=51']
Exploring Operation: 90-51=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[5, 15, 18, 36], Operations: []
Exploring Operation: 18-5=13, Resulting Numbers: [15, 36, 13]
Generated Node #0,0: 39:[15, 36, 13] Operation: 18-5=13
Exploring Operation: 18-15=3, Resulting Numbers: [5, 36, 3]
Generated Node #0,1: 39:[5, 36, 3] Operation: 18-15=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[15, 36, 13], Operations: ['18-5=13']
Exploring Operation: 15-13=2, Resulting Numbers: [36, 2]
Generated Node #0,0,0: 39:[36, 2] Operation: 15-13=2
Exploring Operation: 36-15=21, Resulting Numbers: [13, 21]
Generated Node #0,0,1: 39:[13, 21] Operation: 36-15=21
Moving to Node #0,0,0
Current State: 39:[36, 2], Operations: ['18-5=13', '15-13=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,39 unequal: No Solution
Exploring Operation: 36+2=38, Resulting Numbers: [38]
38,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[13, 21], Operations: ['18-5=13', '36-15=21']
Exploring Operation: 13+21=34, Resulting Numbers: [34]
34,39 unequal: No Solution
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[5, 36, 3], Operations: ['18-15=3']
Exploring Operation: 5+36=41, Resulting Numbers: [3, 41]
Generated Node #0,1,0: 39:[3, 41] Operation: 5+36=41
Exploring Operation: 36+3=39, Resulting Numbers: [5, 39]
Generated Node #0,1,1: 39:[5, 39] Operation: 36+3=39
Moving to Node #0,1,0
Current State: 39:[3, 41], Operations: ['18-15=3', '5+36=41']
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,39 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[5, 39], Operations: ['18-15=3', '36+3=39']
Exploring Operation: 5+39=44, Resulting Numbers: [44]
44,39 unequal: No Solution
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
13,
1,
50,
10
] | 54 | [
"13+1=14",
"50-10=40",
"14+40=54"
] | Current State: 54:[13, 1, 50, 10], Operations: []
Exploring Operation: 13+1=14, Resulting Numbers: [50, 10, 14]
Generated Node #2: [50, 10, 14] from Operation: 13+1=14
Current State: 54:[50, 10, 14], Operations: ['13+1=14']
Exploring Operation: 50-10=40, Resulting Numbers: [14, 40]
Generated Node #3: [14, 40] from Operation: 50-10=40
Current State: 54:[14, 40], Operations: ['13+1=14', '50-10=40']
Exploring Operation: 14+40=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[13, 1, 50, 10], Operations: []
Exploring Operation: 13-10=3, Resulting Numbers: [1, 50, 3]
Generated Node #0,0: 54:[1, 50, 3] Operation: 13-10=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[1, 50, 3], Operations: ['13-10=3']
Exploring Operation: 50+3=53, Resulting Numbers: [1, 53]
Generated Node #0,0,0: 54:[1, 53] Operation: 50+3=53
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[1, 53], Operations: ['13-10=3', '50+3=53']
Exploring Operation: 1+53=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[13, 1, 50, 10], Operations: []
Exploring Operation: 13-10=3, Resulting Numbers: [1, 50, 3]
Generated Node #0,0: 54:[1, 50, 3] Operation: 13-10=3
Moving to Node #0,0
Current State: 54:[1, 50, 3], Operations: ['13-10=3']
Exploring Operation: 50+3=53, Resulting Numbers: [1, 53]
Generated Node #0,0,0: 54:[1, 53] Operation: 50+3=53
Moving to Node #0,0,0
Current State: 54:[1, 53], Operations: ['13-10=3', '50+3=53']
Exploring Operation: 1+53=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
65,
60,
34,
53
] | 39 | [
"65-53=12",
"60/12=5",
"34+5=39"
] | Current State: 39:[65, 60, 34, 53], Operations: []
Exploring Operation: 65-53=12, Resulting Numbers: [60, 34, 12]
Generated Node #2: [60, 34, 12] from Operation: 65-53=12
Current State: 39:[60, 34, 12], Operations: ['65-53=12']
Exploring Operation: 60/12=5, Resulting Numbers: [34, 5]
Generated Node #3: [34, 5] from Operation: 60/12=5
Current State: 39:[34, 5], Operations: ['65-53=12', '60/12=5']
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[65, 60, 34, 53], Operations: []
Exploring Operation: 65-53=12, Resulting Numbers: [60, 34, 12]
Generated Node #0,0: 39:[60, 34, 12] Operation: 65-53=12
Exploring Operation: 65-60=5, Resulting Numbers: [34, 53, 5]
Generated Node #0,1: 39:[34, 53, 5] Operation: 65-60=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[34, 53, 5], Operations: ['65-60=5']
Exploring Operation: 34+5=39, Resulting Numbers: [53, 39]
Generated Node #0,1,0: 39:[53, 39] Operation: 34+5=39
Exploring Operation: 53-34=19, Resulting Numbers: [5, 19]
Generated Node #0,1,1: 39:[5, 19] Operation: 53-34=19
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 39:[5, 19], Operations: ['65-60=5', '53-34=19']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,39 unequal: No Solution
Exploring Operation: 5+19=24, Resulting Numbers: [24]
24,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 39:[53, 39], Operations: ['65-60=5', '34+5=39']
Exploring Operation: 53-39=14, Resulting Numbers: [14]
14,39 unequal: No Solution
Exploring Operation: 53+39=92, Resulting Numbers: [92]
92,39 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: 39:[60, 34, 12], Operations: ['65-53=12']
Exploring Operation: 60-34=26, Resulting Numbers: [12, 26]
Generated Node #0,0,0: 39:[12, 26] Operation: 60-34=26
Exploring Operation: 60/12=5, Resulting Numbers: [34, 5]
Generated Node #0,0,1: 39:[34, 5] Operation: 60/12=5
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 39:[34, 5], Operations: ['65-53=12', '60/12=5']
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[65, 60, 34, 53], Operations: []
Exploring Operation: 65-53=12, Resulting Numbers: [60, 34, 12]
Generated Node #0,0: 39:[60, 34, 12] Operation: 65-53=12
Moving to Node #0,0
Current State: 39:[60, 34, 12], Operations: ['65-53=12']
Exploring Operation: 60/12=5, Resulting Numbers: [34, 5]
Generated Node #0,0,1: 39:[34, 5] Operation: 60/12=5
Moving to Node #0,0,1
Current State: 39:[34, 5], Operations: ['65-53=12', '60/12=5']
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_2 | sum_heuristic |
[
60,
15,
74,
80
] | 25 | [
"80-74=6",
"60/6=10",
"15+10=25"
] | Current State: 25:[60, 15, 74, 80], Operations: []
Exploring Operation: 80-74=6, Resulting Numbers: [60, 15, 6]
Generated Node #2: [60, 15, 6] from Operation: 80-74=6
Current State: 25:[60, 15, 6], Operations: ['80-74=6']
Exploring Operation: 60/6=10, Resulting Numbers: [15, 10]
Generated Node #3: [15, 10] from Operation: 60/6=10
Current State: 25:[15, 10], Operations: ['80-74=6', '60/6=10']
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[60, 15, 74, 80], Operations: []
Exploring Operation: 80-74=6, Resulting Numbers: [60, 15, 6]
Generated Node #0,0: 25:[60, 15, 6] Operation: 80-74=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 25:[60, 15, 6], Operations: ['80-74=6']
Exploring Operation: 60/15=4, Resulting Numbers: [6, 4]
Generated Node #0,0,0: 25:[6, 4] Operation: 60/15=4
Moving to Node #0,0,0
Current State: 25:[6, 4], Operations: ['80-74=6', '60/15=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,25 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 |
[
18,
5,
15,
97
] | 95 | [
"18-5=13",
"97-15=82",
"13+82=95"
] | Current State: 95:[18, 5, 15, 97], Operations: []
Exploring Operation: 18-5=13, Resulting Numbers: [15, 97, 13]
Generated Node #2: [15, 97, 13] from Operation: 18-5=13
Current State: 95:[15, 97, 13], Operations: ['18-5=13']
Exploring Operation: 97-15=82, Resulting Numbers: [13, 82]
Generated Node #3: [13, 82] from Operation: 97-15=82
Current State: 95:[13, 82], Operations: ['18-5=13', '97-15=82']
Exploring Operation: 13+82=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[18, 5, 15, 97], Operations: []
Exploring Operation: 15/5=3, Resulting Numbers: [18, 97, 3]
Generated Node #0,0: 95:[18, 97, 3] Operation: 15/5=3
Exploring Operation: 18-15=3, Resulting Numbers: [5, 97, 3]
Generated Node #0,1: 95:[5, 97, 3] Operation: 18-15=3
Exploring Operation: 97-5=92, Resulting Numbers: [18, 15, 92]
Generated Node #0,2: 95:[18, 15, 92] Operation: 97-5=92
Exploring Operation: 15-5=10, Resulting Numbers: [18, 97, 10]
Generated Node #0,3: 95:[18, 97, 10] Operation: 15-5=10
Exploring Operation: 5+15=20, Resulting Numbers: [18, 97, 20]
Generated Node #0,4: 95:[18, 97, 20] Operation: 5+15=20
Moving to Node #0,1
Current State: 95:[5, 97, 3], Operations: ['18-15=3']
Exploring Operation: 5-3=2, Resulting Numbers: [97, 2]
Generated Node #0,1,0: 95:[97, 2] Operation: 5-3=2
Exploring Operation: 5+3=8, Resulting Numbers: [97, 8]
Generated Node #0,1,1: 95:[97, 8] Operation: 5+3=8
Exploring Operation: 97+3=100, Resulting Numbers: [5, 100]
Generated Node #0,1,2: 95:[5, 100] Operation: 97+3=100
Exploring Operation: 97-3=94, Resulting Numbers: [5, 94]
Generated Node #0,1,3: 95:[5, 94] Operation: 97-3=94
Exploring Operation: 97-5=92, Resulting Numbers: [3, 92]
Generated Node #0,1,4: 95:[3, 92] Operation: 97-5=92
Moving to Node #0,4
Current State: 95:[18, 97, 20], Operations: ['5+15=20']
Exploring Operation: 18+97=115, Resulting Numbers: [20, 115]
Generated Node #0,4,0: 95:[20, 115] Operation: 18+97=115
Exploring Operation: 20-18=2, Resulting Numbers: [97, 2]
Generated Node #0,4,1: 95:[97, 2] Operation: 20-18=2
Exploring Operation: 18+20=38, Resulting Numbers: [97, 38]
Generated Node #0,4,2: 95:[97, 38] Operation: 18+20=38
Exploring Operation: 97-18=79, Resulting Numbers: [20, 79]
Generated Node #0,4,3: 95:[20, 79] Operation: 97-18=79
Exploring Operation: 97-20=77, Resulting Numbers: [18, 77]
Generated Node #0,4,4: 95:[18, 77] Operation: 97-20=77
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 95:[97, 2], Operations: ['5+15=20', '20-18=2']
Exploring Operation: 97*2=194, Resulting Numbers: [194]
194,95 unequal: No Solution
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,95 unequal: No Solution
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[18, 5, 15, 97], Operations: []
Exploring Operation: 5+15=20, Resulting Numbers: [18, 97, 20]
Generated Node #0,4: 95:[18, 97, 20] Operation: 5+15=20
Moving to Node #0,4
Current State: 95:[18, 97, 20], Operations: ['5+15=20']
Exploring Operation: 20-18=2, Resulting Numbers: [97, 2]
Generated Node #0,4,1: 95:[97, 2] Operation: 20-18=2
Moving to Node #0,4,1
Current State: 95:[97, 2], Operations: ['5+15=20', '20-18=2']
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
3,
40,
10,
46
] | 24 | [
"3*10=30",
"46-40=6",
"30-6=24"
] | Current State: 24:[3, 40, 10, 46], Operations: []
Exploring Operation: 3*10=30, Resulting Numbers: [40, 46, 30]
Generated Node #2: [40, 46, 30] from Operation: 3*10=30
Current State: 24:[40, 46, 30], Operations: ['3*10=30']
Exploring Operation: 46-40=6, Resulting Numbers: [30, 6]
Generated Node #3: [30, 6] from Operation: 46-40=6
Current State: 24:[30, 6], Operations: ['3*10=30', '46-40=6']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[3, 40, 10, 46], Operations: []
Exploring Operation: 40/10=4, Resulting Numbers: [3, 46, 4]
Generated Node #0,0: 24:[3, 46, 4] Operation: 40/10=4
Exploring Operation: 40-10=30, Resulting Numbers: [3, 46, 30]
Generated Node #0,1: 24:[3, 46, 30] Operation: 40-10=30
Exploring Operation: 46-40=6, Resulting Numbers: [3, 10, 6]
Generated Node #0,2: 24:[3, 10, 6] Operation: 46-40=6
Start Sub Search at level 1: Moving to Node #0,2
Current State: 24:[3, 10, 6], Operations: ['46-40=6']
Exploring Operation: 10-3=7, Resulting Numbers: [6, 7]
Generated Node #0,2,0: 24:[6, 7] Operation: 10-3=7
Exploring Operation: 10-6=4, Resulting Numbers: [3, 4]
Generated Node #0,2,1: 24:[3, 4] Operation: 10-6=4
Exploring Operation: 3+10=13, Resulting Numbers: [6, 13]
Generated Node #0,2,2: 24:[6, 13] Operation: 3+10=13
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 24:[3, 4], Operations: ['46-40=6', '10-6=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,24 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,24 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 24:[6, 7], Operations: ['46-40=6', '10-3=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,24 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 24:[6, 13], Operations: ['46-40=6', '3+10=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,24 unequal: No Solution
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,24 unequal: No Solution
Exploring Operation: 6+13=19, Resulting Numbers: [19]
19,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[3, 46, 4], Operations: ['40/10=4']
Exploring Operation: 46-3=43, Resulting Numbers: [4, 43]
Generated Node #0,0,0: 24:[4, 43] Operation: 46-3=43
Exploring Operation: 46-4=42, Resulting Numbers: [3, 42]
Generated Node #0,0,1: 24:[3, 42] Operation: 46-4=42
Exploring Operation: 3*4=12, Resulting Numbers: [46, 12]
Generated Node #0,0,2: 24:[46, 12] Operation: 3*4=12
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 24:[3, 42], Operations: ['40/10=4', '46-4=42']
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,24 unequal: No Solution
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 24:[4, 43], Operations: ['40/10=4', '46-3=43']
Exploring Operation: 4*43=172, Resulting Numbers: [172]
172,24 unequal: No Solution
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,24 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 24:[46, 12], Operations: ['40/10=4', '3*4=12']
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,24 unequal: No Solution
Exploring Operation: 46*12=552, Resulting Numbers: [552]
552,24 unequal: No Solution
Exploring Operation: 46+12=58, Resulting Numbers: [58]
58,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[3, 46, 30], Operations: ['40-10=30']
Exploring Operation: 30/3=10, Resulting Numbers: [46, 10]
Generated Node #0,1,0: 24:[46, 10] Operation: 30/3=10
Exploring Operation: 46-30=16, Resulting Numbers: [3, 16]
Generated Node #0,1,1: 24:[3, 16] Operation: 46-30=16
Exploring Operation: 46-3=43, Resulting Numbers: [30, 43]
Generated Node #0,1,2: 24:[30, 43] Operation: 46-3=43
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 24:[3, 16], Operations: ['40-10=30', '46-30=16']
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,24 unequal: No Solution
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,24 unequal: No Solution
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 24:[46, 10], Operations: ['40-10=30', '30/3=10']
Exploring Operation: 46+10=56, Resulting Numbers: [56]
56,24 unequal: No Solution
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Exploring Operation: 46*10=460, Resulting Numbers: [460]
460,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 24:[30, 43], Operations: ['40-10=30', '46-3=43']
Exploring Operation: 30*43=1290, Resulting Numbers: [1290]
1290,24 unequal: No Solution
Exploring Operation: 43-30=13, Resulting Numbers: [13]
13,24 unequal: No Solution
Exploring Operation: 30+43=73, Resulting Numbers: [73]
73,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
27,
93,
24,
3
] | 45 | [
"93-27=66",
"24-3=21",
"66-21=45"
] | Current State: 45:[27, 93, 24, 3], Operations: []
Exploring Operation: 93-27=66, Resulting Numbers: [24, 3, 66]
Generated Node #2: [24, 3, 66] from Operation: 93-27=66
Current State: 45:[24, 3, 66], Operations: ['93-27=66']
Exploring Operation: 24-3=21, Resulting Numbers: [66, 21]
Generated Node #3: [66, 21] from Operation: 24-3=21
Current State: 45:[66, 21], Operations: ['93-27=66', '24-3=21']
Exploring Operation: 66-21=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[27, 93, 24, 3], Operations: []
Exploring Operation: 93-27=66, Resulting Numbers: [24, 3, 66]
Generated Node #0,0: 45:[24, 3, 66] Operation: 93-27=66
Exploring Operation: 93/3=31, Resulting Numbers: [27, 24, 31]
Generated Node #0,1: 45:[27, 24, 31] Operation: 93/3=31
Exploring Operation: 93-24=69, Resulting Numbers: [27, 3, 69]
Generated Node #0,2: 45:[27, 3, 69] Operation: 93-24=69
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[24, 3, 66], Operations: ['93-27=66']
Exploring Operation: 66-24=42, Resulting Numbers: [3, 42]
Generated Node #0,0,0: 45:[3, 42] Operation: 66-24=42
Exploring Operation: 66/3=22, Resulting Numbers: [24, 22]
Generated Node #0,0,1: 45:[24, 22] Operation: 66/3=22
Exploring Operation: 24/3=8, Resulting Numbers: [66, 8]
Generated Node #0,0,2: 45:[66, 8] Operation: 24/3=8
Moving to Node #0,0,0
Current State: 45:[3, 42], Operations: ['93-27=66', '66-24=42']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,45 unequal: No Solution
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[27, 93, 24, 3], Operations: []
Exploring Operation: 93-27=66, Resulting Numbers: [24, 3, 66]
Generated Node #0,0: 45:[24, 3, 66] Operation: 93-27=66
Moving to Node #0,0
Current State: 45:[24, 3, 66], Operations: ['93-27=66']
Exploring Operation: 66-24=42, Resulting Numbers: [3, 42]
Generated Node #0,0,0: 45:[3, 42] Operation: 66-24=42
Moving to Node #0,0,0
Current State: 45:[3, 42], Operations: ['93-27=66', '66-24=42']
Exploring Operation: 3+42=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
42,
27,
72,
13
] | 44 | [
"42-27=15",
"72-13=59",
"59-15=44"
] | Current State: 44:[42, 27, 72, 13], Operations: []
Exploring Operation: 42-27=15, Resulting Numbers: [72, 13, 15]
Generated Node #2: [72, 13, 15] from Operation: 42-27=15
Current State: 44:[72, 13, 15], Operations: ['42-27=15']
Exploring Operation: 72-13=59, Resulting Numbers: [15, 59]
Generated Node #3: [15, 59] from Operation: 72-13=59
Current State: 44:[15, 59], Operations: ['42-27=15', '72-13=59']
Exploring Operation: 59-15=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[42, 27, 72, 13], Operations: []
Exploring Operation: 72-27=45, Resulting Numbers: [42, 13, 45]
Generated Node #0,0: 44:[42, 13, 45] Operation: 72-27=45
Exploring Operation: 72-13=59, Resulting Numbers: [42, 27, 59]
Generated Node #0,1: 44:[42, 27, 59] Operation: 72-13=59
Exploring Operation: 27-13=14, Resulting Numbers: [42, 72, 14]
Generated Node #0,2: 44:[42, 72, 14] Operation: 27-13=14
Exploring Operation: 72-42=30, Resulting Numbers: [27, 13, 30]
Generated Node #0,3: 44:[27, 13, 30] Operation: 72-42=30
Exploring Operation: 42-27=15, Resulting Numbers: [72, 13, 15]
Generated Node #0,4: 44:[72, 13, 15] Operation: 42-27=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 44:[42, 13, 45], Operations: ['72-27=45']
Exploring Operation: 42+13=55, Resulting Numbers: [45, 55]
Generated Node #0,0,0: 44:[45, 55] Operation: 42+13=55
Exploring Operation: 45-42=3, Resulting Numbers: [13, 3]
Generated Node #0,0,1: 44:[13, 3] Operation: 45-42=3
Exploring Operation: 13+45=58, Resulting Numbers: [42, 58]
Generated Node #0,0,2: 44:[42, 58] Operation: 13+45=58
Exploring Operation: 45-13=32, Resulting Numbers: [42, 32]
Generated Node #0,0,3: 44:[42, 32] Operation: 45-13=32
Exploring Operation: 42-13=29, Resulting Numbers: [45, 29]
Generated Node #0,0,4: 44:[45, 29] Operation: 42-13=29
Moving to Node #0,0,1
Current State: 44:[13, 3], Operations: ['72-27=45', '45-42=3']
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,44 unequal: No Solution
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Moving to Node #0,0,4
Current State: 44:[45, 29], Operations: ['72-27=45', '42-13=29']
Exploring Operation: 45+29=74, Resulting Numbers: [74]
74,44 unequal: No Solution
Exploring Operation: 45-29=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 45*29=1305, Resulting Numbers: [1305]
1305,44 unequal: No Solution
Moving to Node #0,0,0
Current State: 44:[45, 55], Operations: ['72-27=45', '42+13=55']
Exploring Operation: 45*55=2475, Resulting Numbers: [2475]
2475,44 unequal: No Solution
Exploring Operation: 55-45=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Exploring Operation: 45+55=100, Resulting Numbers: [100]
100,44 unequal: No Solution
Moving to Node #0,0,3
Current State: 44:[42, 32], Operations: ['72-27=45', '45-13=32']
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Exploring Operation: 42*32=1344, Resulting Numbers: [1344]
1344,44 unequal: No Solution
Exploring Operation: 42+32=74, Resulting Numbers: [74]
74,44 unequal: No Solution
Moving to Node #0,0,2
Current State: 44:[42, 58], Operations: ['72-27=45', '13+45=58']
Exploring Operation: 42*58=2436, Resulting Numbers: [2436]
2436,44 unequal: No Solution
Exploring Operation: 58-42=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 42+58=100, Resulting Numbers: [100]
100,44 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 #0,3
Current State: 44:[27, 13, 30], Operations: ['72-42=30']
Exploring Operation: 27-13=14, Resulting Numbers: [30, 14]
Generated Node #0,3,0: 44:[30, 14] Operation: 27-13=14
Exploring Operation: 30-13=17, Resulting Numbers: [27, 17]
Generated Node #0,3,1: 44:[27, 17] Operation: 30-13=17
Exploring Operation: 13+30=43, Resulting Numbers: [27, 43]
Generated Node #0,3,2: 44:[27, 43] Operation: 13+30=43
Exploring Operation: 27+13=40, Resulting Numbers: [30, 40]
Generated Node #0,3,3: 44:[30, 40] Operation: 27+13=40
Exploring Operation: 30-27=3, Resulting Numbers: [13, 3]
Generated Node #0,3,4: 44:[13, 3] Operation: 30-27=3
Moving to Node #0,3,4
Current State: 44:[13, 3], Operations: ['72-42=30', '30-27=3']
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,44 unequal: No Solution
Moving to Node #0,3,2
Current State: 44:[27, 43], Operations: ['72-42=30', '13+30=43']
Exploring Operation: 27*43=1161, Resulting Numbers: [1161]
1161,44 unequal: No Solution
Exploring Operation: 27+43=70, Resulting Numbers: [70]
70,44 unequal: No Solution
Exploring Operation: 43-27=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Moving to Node #0,3,1
Current State: 44:[27, 17], Operations: ['72-42=30', '30-13=17']
Exploring Operation: 27+17=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[42, 27, 72, 13], Operations: []
Exploring Operation: 72-42=30, Resulting Numbers: [27, 13, 30]
Generated Node #0,3: 44:[27, 13, 30] Operation: 72-42=30
Moving to Node #0,3
Current State: 44:[27, 13, 30], Operations: ['72-42=30']
Exploring Operation: 30-13=17, Resulting Numbers: [27, 17]
Generated Node #0,3,1: 44:[27, 17] Operation: 30-13=17
Moving to Node #0,3,1
Current State: 44:[27, 17], Operations: ['72-42=30', '30-13=17']
Exploring Operation: 27+17=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441 | hs_5 | sum_heuristic |
[
92,
14,
31,
11
] | 64 | [
"92+14=106",
"31+11=42",
"106-42=64"
] | Current State: 64:[92, 14, 31, 11], Operations: []
Exploring Operation: 92+14=106, Resulting Numbers: [31, 11, 106]
Generated Node #2: [31, 11, 106] from Operation: 92+14=106
Current State: 64:[31, 11, 106], Operations: ['92+14=106']
Exploring Operation: 31+11=42, Resulting Numbers: [106, 42]
Generated Node #3: [106, 42] from Operation: 31+11=42
Current State: 64:[106, 42], Operations: ['92+14=106', '31+11=42']
Exploring Operation: 106-42=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[92, 14, 31, 11], Operations: []
Exploring Operation: 92-14=78, Resulting Numbers: [31, 11, 78]
Generated Node #0,0: 64:[31, 11, 78] Operation: 92-14=78
Exploring Operation: 92-31=61, Resulting Numbers: [14, 11, 61]
Generated Node #0,1: 64:[14, 11, 61] Operation: 92-31=61
Exploring Operation: 92-11=81, Resulting Numbers: [14, 31, 81]
Generated Node #0,2: 64:[14, 31, 81] Operation: 92-11=81
Moving to Node #0,1
Current State: 64:[14, 11, 61], Operations: ['92-31=61']
Exploring Operation: 14+11=25, Resulting Numbers: [61, 25]
Generated Node #0,1,0: 64:[61, 25] Operation: 14+11=25
Exploring Operation: 14-11=3, Resulting Numbers: [61, 3]
Generated Node #0,1,1: 64:[61, 3] Operation: 14-11=3
Exploring Operation: 11+61=72, Resulting Numbers: [14, 72]
Generated Node #0,1,2: 64:[14, 72] Operation: 11+61=72
Moving to Node #0,0
Current State: 64:[31, 11, 78], Operations: ['92-14=78']
Exploring Operation: 78-11=67, Resulting Numbers: [31, 67]
Generated Node #0,0,0: 64:[31, 67] Operation: 78-11=67
Exploring Operation: 78-31=47, Resulting Numbers: [11, 47]
Generated Node #0,0,1: 64:[11, 47] Operation: 78-31=47
Exploring Operation: 31-11=20, Resulting Numbers: [78, 20]
Generated Node #0,0,2: 64:[78, 20] Operation: 31-11=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[31, 67], Operations: ['92-14=78', '78-11=67']
Exploring Operation: 67-31=36, Resulting Numbers: [36]
36,64 unequal: No Solution
Exploring Operation: 31+67=98, Resulting Numbers: [98]
98,64 unequal: No Solution
Exploring Operation: 31*67=2077, Resulting Numbers: [2077]
2077,64 unequal: No Solution
No 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: 64:[11, 47], Operations: ['92-14=78', '78-31=47']
Exploring Operation: 47-11=36, Resulting Numbers: [36]
36,64 unequal: No Solution
Exploring Operation: 11+47=58, Resulting Numbers: [58]
58,64 unequal: No Solution
Exploring Operation: 11*47=517, Resulting Numbers: [517]
517,64 unequal: No Solution
No 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: 64:[78, 20], Operations: ['92-14=78', '31-11=20']
Exploring Operation: 78-20=58, Resulting Numbers: [58]
58,64 unequal: No Solution
Exploring Operation: 78*20=1560, Resulting Numbers: [1560]
1560,64 unequal: No Solution
Exploring Operation: 78+20=98, Resulting Numbers: [98]
98,64 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: 64:[14, 31, 81], Operations: ['92-11=81']
Exploring Operation: 81-31=50, Resulting Numbers: [14, 50]
Generated Node #0,2,0: 64:[14, 50] Operation: 81-31=50
Exploring Operation: 31-14=17, Resulting Numbers: [81, 17]
Generated Node #0,2,1: 64:[81, 17] Operation: 31-14=17
Exploring Operation: 81-14=67, Resulting Numbers: [31, 67]
Generated Node #0,2,2: 64:[31, 67] Operation: 81-14=67
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 64:[31, 67], Operations: ['92-11=81', '81-14=67']
Exploring Operation: 31+67=98, Resulting Numbers: [98]
98,64 unequal: No Solution
Exploring Operation: 67-31=36, Resulting Numbers: [36]
36,64 unequal: No Solution
Exploring Operation: 31*67=2077, Resulting Numbers: [2077]
2077,64 unequal: No Solution
No 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: 64:[14, 50], Operations: ['92-11=81', '81-31=50']
Exploring Operation: 50-14=36, Resulting Numbers: [36]
36,64 unequal: No Solution
Exploring Operation: 14+50=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[92, 14, 31, 11], Operations: []
Exploring Operation: 92-11=81, Resulting Numbers: [14, 31, 81]
Generated Node #0,2: 64:[14, 31, 81] Operation: 92-11=81
Moving to Node #0,2
Current State: 64:[14, 31, 81], Operations: ['92-11=81']
Exploring Operation: 81-31=50, Resulting Numbers: [14, 50]
Generated Node #0,2,0: 64:[14, 50] Operation: 81-31=50
Moving to Node #0,2,0
Current State: 64:[14, 50], Operations: ['92-11=81', '81-31=50']
Exploring Operation: 14+50=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_3 | mult_heuristic |
[
33,
24,
11,
34
] | 32 | [
"33-24=9",
"34-11=23",
"9+23=32"
] | Current State: 32:[33, 24, 11, 34], Operations: []
Exploring Operation: 33-24=9, Resulting Numbers: [11, 34, 9]
Generated Node #2: [11, 34, 9] from Operation: 33-24=9
Current State: 32:[11, 34, 9], Operations: ['33-24=9']
Exploring Operation: 34-11=23, Resulting Numbers: [9, 23]
Generated Node #3: [9, 23] from Operation: 34-11=23
Current State: 32:[9, 23], Operations: ['33-24=9', '34-11=23']
Exploring Operation: 9+23=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[33, 24, 11, 34], Operations: []
Exploring Operation: 33-24=9, Resulting Numbers: [11, 34, 9]
Generated Node #0,0: 32:[11, 34, 9] Operation: 33-24=9
Exploring Operation: 34-24=10, Resulting Numbers: [33, 11, 10]
Generated Node #0,1: 32:[33, 11, 10] Operation: 34-24=10
Exploring Operation: 24-11=13, Resulting Numbers: [33, 34, 13]
Generated Node #0,2: 32:[33, 34, 13] Operation: 24-11=13
Exploring Operation: 24+11=35, Resulting Numbers: [33, 34, 35]
Generated Node #0,3: 32:[33, 34, 35] Operation: 24+11=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[11, 34, 9], Operations: ['33-24=9']
Exploring Operation: 34-9=25, Resulting Numbers: [11, 25]
Generated Node #0,0,0: 32:[11, 25] Operation: 34-9=25
Exploring Operation: 11+9=20, Resulting Numbers: [34, 20]
Generated Node #0,0,1: 32:[34, 20] Operation: 11+9=20
Exploring Operation: 11-9=2, Resulting Numbers: [34, 2]
Generated Node #0,0,2: 32:[34, 2] Operation: 11-9=2
Exploring Operation: 34-11=23, Resulting Numbers: [9, 23]
Generated Node #0,0,3: 32:[9, 23] Operation: 34-11=23
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 32:[34, 2], Operations: ['33-24=9', '11-9=2']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[33, 24, 11, 34], Operations: []
Exploring Operation: 33-24=9, Resulting Numbers: [11, 34, 9]
Generated Node #0,0: 32:[11, 34, 9] Operation: 33-24=9
Moving to Node #0,0
Current State: 32:[11, 34, 9], Operations: ['33-24=9']
Exploring Operation: 11-9=2, Resulting Numbers: [34, 2]
Generated Node #0,0,2: 32:[34, 2] Operation: 11-9=2
Moving to Node #0,0,2
Current State: 32:[34, 2], Operations: ['33-24=9', '11-9=2']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
7,
9,
19,
16
] | 59 | [
"7*16=112",
"9*19=171",
"171-112=59"
] | Current State: 59:[7, 9, 19, 16], Operations: []
Exploring Operation: 7*16=112, Resulting Numbers: [9, 19, 112]
Generated Node #2: [9, 19, 112] from Operation: 7*16=112
Current State: 59:[9, 19, 112], Operations: ['7*16=112']
Exploring Operation: 9*19=171, Resulting Numbers: [112, 171]
Generated Node #3: [112, 171] from Operation: 9*19=171
Current State: 59:[112, 171], Operations: ['7*16=112', '9*19=171']
Exploring Operation: 171-112=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[7, 9, 19, 16], Operations: []
Exploring Operation: 7*9=63, Resulting Numbers: [19, 16, 63]
Generated Node #0,0: 59:[19, 16, 63] Operation: 7*9=63
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[19, 16, 63], Operations: ['7*9=63']
Exploring Operation: 19+16=35, Resulting Numbers: [63, 35]
Generated Node #0,0,0: 59:[63, 35] Operation: 19+16=35
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 59:[63, 35], Operations: ['7*9=63', '19+16=35']
Exploring Operation: 63-35=28, Resulting Numbers: [28]
28,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
4,
2,
97,
22
] | 83 | [
"4*2=8",
"97-22=75",
"8+75=83"
] | Current State: 83:[4, 2, 97, 22], Operations: []
Exploring Operation: 4*2=8, Resulting Numbers: [97, 22, 8]
Generated Node #2: [97, 22, 8] from Operation: 4*2=8
Current State: 83:[97, 22, 8], Operations: ['4*2=8']
Exploring Operation: 97-22=75, Resulting Numbers: [8, 75]
Generated Node #3: [8, 75] from Operation: 97-22=75
Current State: 83:[8, 75], Operations: ['4*2=8', '97-22=75']
Exploring Operation: 8+75=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[4, 2, 97, 22], Operations: []
Exploring Operation: 2*22=44, Resulting Numbers: [4, 97, 44]
Generated Node #0,0: 83:[4, 97, 44] Operation: 2*22=44
Exploring Operation: 4*2=8, Resulting Numbers: [97, 22, 8]
Generated Node #0,1: 83:[97, 22, 8] Operation: 4*2=8
Exploring Operation: 4*22=88, Resulting Numbers: [2, 97, 88]
Generated Node #0,2: 83:[2, 97, 88] Operation: 4*22=88
Exploring Operation: 4+2=6, Resulting Numbers: [97, 22, 6]
Generated Node #0,3: 83:[97, 22, 6] Operation: 4+2=6
Moving to Node #0,2
Current State: 83:[2, 97, 88], Operations: ['4*22=88']
Exploring Operation: 88-2=86, Resulting Numbers: [97, 86]
Generated Node #0,2,0: 83:[97, 86] Operation: 88-2=86
Exploring Operation: 97-2=95, Resulting Numbers: [88, 95]
Generated Node #0,2,1: 83:[88, 95] Operation: 97-2=95
Exploring Operation: 2+97=99, Resulting Numbers: [88, 99]
Generated Node #0,2,2: 83:[88, 99] Operation: 2+97=99
Exploring Operation: 2+88=90, Resulting Numbers: [97, 90]
Generated Node #0,2,3: 83:[97, 90] Operation: 2+88=90
Moving to Node #0,0
Current State: 83:[4, 97, 44], Operations: ['2*22=44']
Exploring Operation: 44-4=40, Resulting Numbers: [97, 40]
Generated Node #0,0,0: 83:[97, 40] Operation: 44-4=40
Exploring Operation: 4+97=101, Resulting Numbers: [44, 101]
Generated Node #0,0,1: 83:[44, 101] Operation: 4+97=101
Exploring Operation: 4+44=48, Resulting Numbers: [97, 48]
Generated Node #0,0,2: 83:[97, 48] Operation: 4+44=48
Exploring Operation: 97-4=93, Resulting Numbers: [44, 93]
Generated Node #0,0,3: 83:[44, 93] Operation: 97-4=93
Moving to Node #0,1
Current State: 83:[97, 22, 8], Operations: ['4*2=8']
Exploring Operation: 22+8=30, Resulting Numbers: [97, 30]
Generated Node #0,1,0: 83:[97, 30] Operation: 22+8=30
Exploring Operation: 97+8=105, Resulting Numbers: [22, 105]
Generated Node #0,1,1: 83:[22, 105] Operation: 97+8=105
Exploring Operation: 97-22=75, Resulting Numbers: [8, 75]
Generated Node #0,1,2: 83:[8, 75] Operation: 97-22=75
Exploring Operation: 97-8=89, Resulting Numbers: [22, 89]
Generated Node #0,1,3: 83:[22, 89] Operation: 97-8=89
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[97, 30], Operations: ['4*2=8', '22+8=30']
Exploring Operation: 97+30=127, Resulting Numbers: [127]
127,83 unequal: No Solution
Exploring Operation: 97-30=67, Resulting Numbers: [67]
67,83 unequal: No Solution
Exploring Operation: 97*30=2910, Resulting Numbers: [2910]
2910,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 83:[22, 89], Operations: ['4*2=8', '97-8=89']
Exploring Operation: 89-22=67, Resulting Numbers: [67]
67,83 unequal: No Solution
Exploring Operation: 22+89=111, Resulting Numbers: [111]
111,83 unequal: No Solution
Exploring Operation: 22*89=1958, Resulting Numbers: [1958]
1958,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 83:[22, 105], Operations: ['4*2=8', '97+8=105']
Exploring Operation: 22*105=2310, Resulting Numbers: [2310]
2310,83 unequal: No Solution
Exploring Operation: 105-22=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[4, 2, 97, 22], Operations: []
Exploring Operation: 4*2=8, Resulting Numbers: [97, 22, 8]
Generated Node #0,1: 83:[97, 22, 8] Operation: 4*2=8
Moving to Node #0,1
Current State: 83:[97, 22, 8], Operations: ['4*2=8']
Exploring Operation: 97+8=105, Resulting Numbers: [22, 105]
Generated Node #0,1,1: 83:[22, 105] Operation: 97+8=105
Moving to Node #0,1,1
Current State: 83:[22, 105], Operations: ['4*2=8', '97+8=105']
Exploring Operation: 105-22=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_4 | sum_heuristic |
[
52,
39,
12,
92
] | 76 | [
"52*12=624",
"624/39=16",
"92-16=76"
] | Current State: 76:[52, 39, 12, 92], Operations: []
Exploring Operation: 52*12=624, Resulting Numbers: [39, 92, 624]
Generated Node #2: [39, 92, 624] from Operation: 52*12=624
Current State: 76:[39, 92, 624], Operations: ['52*12=624']
Exploring Operation: 624/39=16, Resulting Numbers: [92, 16]
Generated Node #3: [92, 16] from Operation: 624/39=16
Current State: 76:[92, 16], Operations: ['52*12=624', '624/39=16']
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[52, 39, 12, 92], Operations: []
Exploring Operation: 92-52=40, Resulting Numbers: [39, 12, 40]
Generated Node #0,0: 76:[39, 12, 40] Operation: 92-52=40
Exploring Operation: 92-12=80, Resulting Numbers: [52, 39, 80]
Generated Node #0,1: 76:[52, 39, 80] Operation: 92-12=80
Exploring Operation: 52-12=40, Resulting Numbers: [39, 92, 40]
Generated Node #0,2: 76:[39, 92, 40] Operation: 52-12=40
Moving to Node #0,0
Current State: 76:[39, 12, 40], Operations: ['92-52=40']
Exploring Operation: 39+40=79, Resulting Numbers: [12, 79]
Generated Node #0,0,0: 76:[12, 79] Operation: 39+40=79
Exploring Operation: 39-12=27, Resulting Numbers: [40, 27]
Generated Node #0,0,1: 76:[40, 27] Operation: 39-12=27
Exploring Operation: 40-39=1, Resulting Numbers: [12, 1]
Generated Node #0,0,2: 76:[12, 1] Operation: 40-39=1
Moving to Node #0,1
Current State: 76:[52, 39, 80], Operations: ['92-12=80']
Exploring Operation: 52-39=13, Resulting Numbers: [80, 13]
Generated Node #0,1,0: 76:[80, 13] Operation: 52-39=13
Exploring Operation: 80-52=28, Resulting Numbers: [39, 28]
Generated Node #0,1,1: 76:[39, 28] Operation: 80-52=28
Exploring Operation: 80-39=41, Resulting Numbers: [52, 41]
Generated Node #0,1,2: 76:[52, 41] Operation: 80-39=41
Moving to Node #0,2
Current State: 76:[39, 92, 40], Operations: ['52-12=40']
Exploring Operation: 40-39=1, Resulting Numbers: [92, 1]
Generated Node #0,2,0: 76:[92, 1] Operation: 40-39=1
Exploring Operation: 92-39=53, Resulting Numbers: [40, 53]
Generated Node #0,2,1: 76:[40, 53] Operation: 92-39=53
Exploring Operation: 92-40=52, Resulting Numbers: [39, 52]
Generated Node #0,2,2: 76:[39, 52] Operation: 92-40=52
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 76:[39, 52], Operations: ['52-12=40', '92-40=52']
Exploring Operation: 39+52=91, Resulting Numbers: [91]
91,76 unequal: No Solution
Exploring Operation: 52-39=13, Resulting Numbers: [13]
13,76 unequal: No Solution
Exploring Operation: 39*52=2028, Resulting Numbers: [2028]
2028,76 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 #0,2,0
Current State: 76:[92, 1], Operations: ['52-12=40', '40-39=1']
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,76 unequal: No Solution
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,76 unequal: No Solution
Exploring Operation: 92/1=92, Resulting Numbers: [92]
92,76 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 #0,2,1
Current State: 76:[40, 53], Operations: ['52-12=40', '92-39=53']
Exploring Operation: 40+53=93, Resulting Numbers: [93]
93,76 unequal: No Solution
Exploring Operation: 40*53=2120, Resulting Numbers: [2120]
2120,76 unequal: No Solution
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 76:[12, 1], Operations: ['92-52=40', '40-39=1']
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,76 unequal: No Solution
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,76 unequal: No Solution
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[40, 27], Operations: ['92-52=40', '39-12=27']
Exploring Operation: 40*27=1080, Resulting Numbers: [1080]
1080,76 unequal: No Solution
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,76 unequal: No Solution
Exploring Operation: 40+27=67, Resulting Numbers: [67]
67,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[12, 79], Operations: ['92-52=40', '39+40=79']
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,76 unequal: No Solution
Exploring Operation: 12+79=91, Resulting Numbers: [91]
91,76 unequal: No Solution
Exploring Operation: 12*79=948, Resulting Numbers: [948]
948,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[80, 13], Operations: ['92-12=80', '52-39=13']
Exploring Operation: 80-13=67, Resulting Numbers: [67]
67,76 unequal: No Solution
Exploring Operation: 80+13=93, Resulting Numbers: [93]
93,76 unequal: No Solution
Exploring Operation: 80*13=1040, Resulting Numbers: [1040]
1040,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[39, 28], Operations: ['92-12=80', '80-52=28']
Exploring Operation: 39+28=67, Resulting Numbers: [67]
67,76 unequal: No Solution
Exploring Operation: 39*28=1092, Resulting Numbers: [1092]
1092,76 unequal: No Solution
Exploring Operation: 39-28=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[52, 41], Operations: ['92-12=80', '80-39=41']
Exploring Operation: 52+41=93, Resulting Numbers: [93]
93,76 unequal: No Solution
Exploring Operation: 52-41=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 52*41=2132, Resulting Numbers: [2132]
2132,76 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
98,
98,
51,
7
] | 43 | [
"98/98=1",
"51-7=44",
"44-1=43"
] | Current State: 43:[98, 98, 51, 7], Operations: []
Exploring Operation: 98/98=1, Resulting Numbers: [51, 7, 1]
Generated Node #2: [51, 7, 1] from Operation: 98/98=1
Current State: 43:[51, 7, 1], Operations: ['98/98=1']
Exploring Operation: 51-7=44, Resulting Numbers: [1, 44]
Generated Node #3: [1, 44] from Operation: 51-7=44
Current State: 43:[1, 44], Operations: ['98/98=1', '51-7=44']
Exploring Operation: 44-1=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[98, 98, 51, 7], Operations: []
Exploring Operation: 98/98=1, Resulting Numbers: [51, 7, 1]
Generated Node #0,0: 43:[51, 7, 1] Operation: 98/98=1
Exploring Operation: 98-98=0, Resulting Numbers: [51, 7, 0]
Generated Node #0,1: 43:[51, 7, 0] Operation: 98-98=0
Moving to Node #0,0
Current State: 43:[51, 7, 1], Operations: ['98/98=1']
Exploring Operation: 51-1=50, Resulting Numbers: [7, 50]
Generated Node #0,0,0: 43:[7, 50] Operation: 51-1=50
Exploring Operation: 51-7=44, Resulting Numbers: [1, 44]
Generated Node #0,0,1: 43:[1, 44] Operation: 51-7=44
Moving to Node #0,1
Current State: 43:[51, 7, 0], Operations: ['98-98=0']
Exploring Operation: 51-7=44, Resulting Numbers: [0, 44]
Generated Node #0,1,0: 43:[0, 44] Operation: 51-7=44
Exploring Operation: 51+0=51, Resulting Numbers: [7, 51]
Generated Node #0,1,1: 43:[7, 51] Operation: 51+0=51
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 43:[0, 44], Operations: ['98-98=0', '51-7=44']
Exploring Operation: 44-0=44, Resulting Numbers: [44]
44,43 unequal: No Solution
Exploring Operation: 0+44=44, Resulting Numbers: [44]
44,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 43:[7, 51], Operations: ['98-98=0', '51+0=51']
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,43 unequal: No Solution
Exploring Operation: 7+51=58, Resulting Numbers: [58]
58,43 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: 43:[7, 50], Operations: ['98/98=1', '51-1=50']
Exploring Operation: 7+50=57, Resulting Numbers: [57]
57,43 unequal: No Solution
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[98, 98, 51, 7], Operations: []
Exploring Operation: 98/98=1, Resulting Numbers: [51, 7, 1]
Generated Node #0,0: 43:[51, 7, 1] Operation: 98/98=1
Moving to Node #0,0
Current State: 43:[51, 7, 1], Operations: ['98/98=1']
Exploring Operation: 51-1=50, Resulting Numbers: [7, 50]
Generated Node #0,0,0: 43:[7, 50] Operation: 51-1=50
Moving to Node #0,0,0
Current State: 43:[7, 50], Operations: ['98/98=1', '51-1=50']
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 0.986111 | hs_2 | sum_heuristic |
[
33,
66,
62,
62
] | 33 | [
"66-33=33",
"62-62=0",
"33+0=33"
] | Current State: 33:[33, 66, 62, 62], Operations: []
Exploring Operation: 66-33=33, Resulting Numbers: [62, 62, 33]
Generated Node #2: [62, 62, 33] from Operation: 66-33=33
Current State: 33:[62, 62, 33], Operations: ['66-33=33']
Exploring Operation: 62-62=0, Resulting Numbers: [33, 0]
Generated Node #3: [33, 0] from Operation: 62-62=0
Current State: 33:[33, 0], Operations: ['66-33=33', '62-62=0']
Exploring Operation: 33+0=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[33, 66, 62, 62], Operations: []
Exploring Operation: 66-62=4, Resulting Numbers: [33, 62, 4]
Generated Node #0,0: 33:[33, 62, 4] Operation: 66-62=4
Exploring Operation: 66-62=4, Resulting Numbers: [33, 62, 4]
Generated Node #0,1: 33:[33, 62, 4] Operation: 66-62=4
Exploring Operation: 66-33=33, Resulting Numbers: [62, 62, 33]
Generated Node #0,2: 33:[62, 62, 33] Operation: 66-33=33
Exploring Operation: 62/62=1, Resulting Numbers: [33, 66, 1]
Generated Node #0,3: 33:[33, 66, 1] Operation: 62/62=1
Exploring Operation: 62-62=0, Resulting Numbers: [33, 66, 0]
Generated Node #0,4: 33:[33, 66, 0] Operation: 62-62=0
Moving to Node #0,0
Current State: 33:[33, 62, 4], Operations: ['66-62=4']
Exploring Operation: 62-4=58, Resulting Numbers: [33, 58]
Generated Node #0,0,0: 33:[33, 58] Operation: 62-4=58
Exploring Operation: 33-4=29, Resulting Numbers: [62, 29]
Generated Node #0,0,1: 33:[62, 29] Operation: 33-4=29
Exploring Operation: 33+4=37, Resulting Numbers: [62, 37]
Generated Node #0,0,2: 33:[62, 37] Operation: 33+4=37
Exploring Operation: 62+4=66, Resulting Numbers: [33, 66]
Generated Node #0,0,3: 33:[33, 66] Operation: 62+4=66
Exploring Operation: 62-33=29, Resulting Numbers: [4, 29]
Generated Node #0,0,4: 33:[4, 29] Operation: 62-33=29
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 33:[4, 29], Operations: ['66-62=4', '62-33=29']
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[33, 66, 62, 62], Operations: []
Exploring Operation: 66-62=4, Resulting Numbers: [33, 62, 4]
Generated Node #0,0: 33:[33, 62, 4] Operation: 66-62=4
Moving to Node #0,0
Current State: 33:[33, 62, 4], Operations: ['66-62=4']
Exploring Operation: 62-33=29, Resulting Numbers: [4, 29]
Generated Node #0,0,4: 33:[4, 29] Operation: 62-33=29
Moving to Node #0,0,4
Current State: 33:[4, 29], Operations: ['66-62=4', '62-33=29']
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
14,
20,
18,
98
] | 93 | [
"18-14=4",
"20/4=5",
"98-5=93"
] | Current State: 93:[14, 20, 18, 98], Operations: []
Exploring Operation: 18-14=4, Resulting Numbers: [20, 98, 4]
Generated Node #2: [20, 98, 4] from Operation: 18-14=4
Current State: 93:[20, 98, 4], Operations: ['18-14=4']
Exploring Operation: 20/4=5, Resulting Numbers: [98, 5]
Generated Node #3: [98, 5] from Operation: 20/4=5
Current State: 93:[98, 5], Operations: ['18-14=4', '20/4=5']
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[14, 20, 18, 98], Operations: []
Exploring Operation: 20-18=2, Resulting Numbers: [14, 98, 2]
Generated Node #0,0: 93:[14, 98, 2] Operation: 20-18=2
Exploring Operation: 14+18=32, Resulting Numbers: [20, 98, 32]
Generated Node #0,1: 93:[20, 98, 32] Operation: 14+18=32
Exploring Operation: 18-14=4, Resulting Numbers: [20, 98, 4]
Generated Node #0,2: 93:[20, 98, 4] Operation: 18-14=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[14, 98, 2], Operations: ['20-18=2']
Exploring Operation: 98/14=7, Resulting Numbers: [2, 7]
Generated Node #0,0,0: 93:[2, 7] Operation: 98/14=7
Exploring Operation: 14/2=7, Resulting Numbers: [98, 7]
Generated Node #0,0,1: 93:[98, 7] Operation: 14/2=7
Exploring Operation: 14*2=28, Resulting Numbers: [98, 28]
Generated Node #0,0,2: 93:[98, 28] Operation: 14*2=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 93:[2, 7], Operations: ['20-18=2', '98/14=7']
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,93 unequal: No Solution
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,93 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 93:[98, 28], Operations: ['20-18=2', '14*2=28']
Exploring Operation: 98+28=126, Resulting Numbers: [126]
126,93 unequal: No Solution
Exploring Operation: 98*28=2744, Resulting Numbers: [2744]
2744,93 unequal: No Solution
Exploring Operation: 98-28=70, Resulting Numbers: [70]
70,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 93:[98, 7], Operations: ['20-18=2', '14/2=7']
Exploring Operation: 98/7=14, Resulting Numbers: [14]
14,93 unequal: No Solution
Exploring Operation: 98+7=105, Resulting Numbers: [105]
105,93 unequal: No Solution
Exploring Operation: 98-7=91, Resulting Numbers: [91]
91,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[20, 98, 32], Operations: ['14+18=32']
Exploring Operation: 20+98=118, Resulting Numbers: [32, 118]
Generated Node #0,1,0: 93:[32, 118] Operation: 20+98=118
Exploring Operation: 32-20=12, Resulting Numbers: [98, 12]
Generated Node #0,1,1: 93:[98, 12] Operation: 32-20=12
Exploring Operation: 98-20=78, Resulting Numbers: [32, 78]
Generated Node #0,1,2: 93:[32, 78] Operation: 98-20=78
Moving to Node #0,1,1
Current State: 93:[98, 12], Operations: ['14+18=32', '32-20=12']
Exploring Operation: 98*12=1176, Resulting Numbers: [1176]
1176,93 unequal: No Solution
Exploring Operation: 98-12=86, Resulting Numbers: [86]
86,93 unequal: No Solution
Exploring Operation: 98+12=110, Resulting Numbers: [110]
110,93 unequal: No Solution
Moving to Node #0,1,2
Current State: 93:[32, 78], Operations: ['14+18=32', '98-20=78']
Exploring Operation: 32*78=2496, Resulting Numbers: [2496]
2496,93 unequal: No Solution
Exploring Operation: 32+78=110, Resulting Numbers: [110]
110,93 unequal: No Solution
Exploring Operation: 78-32=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Moving to Node #0,1,0
Current State: 93:[32, 118], Operations: ['14+18=32', '20+98=118']
Exploring Operation: 32+118=150, Resulting Numbers: [150]
150,93 unequal: No Solution
Exploring Operation: 32*118=3776, Resulting Numbers: [3776]
3776,93 unequal: No Solution
Exploring Operation: 118-32=86, Resulting Numbers: [86]
86,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[20, 98, 4], Operations: ['18-14=4']
Exploring Operation: 20+4=24, Resulting Numbers: [98, 24]
Generated Node #0,2,0: 93:[98, 24] Operation: 20+4=24
Exploring Operation: 20/4=5, Resulting Numbers: [98, 5]
Generated Node #0,2,1: 93:[98, 5] Operation: 20/4=5
Exploring Operation: 98-4=94, Resulting Numbers: [20, 94]
Generated Node #0,2,2: 93:[20, 94] Operation: 98-4=94
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 93:[98, 5], Operations: ['18-14=4', '20/4=5']
Exploring Operation: 98*5=490, Resulting Numbers: [490]
490,93 unequal: No Solution
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[14, 20, 18, 98], Operations: []
Exploring Operation: 18-14=4, Resulting Numbers: [20, 98, 4]
Generated Node #0,2: 93:[20, 98, 4] Operation: 18-14=4
Moving to Node #0,2
Current State: 93:[20, 98, 4], Operations: ['18-14=4']
Exploring Operation: 20/4=5, Resulting Numbers: [98, 5]
Generated Node #0,2,1: 93:[98, 5] Operation: 20/4=5
Moving to Node #0,2,1
Current State: 93:[98, 5], Operations: ['18-14=4', '20/4=5']
Exploring Operation: 98-5=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 | hs_3 | sum_heuristic |
[
93,
42,
22,
30
] | 48 | [
"93*22=2046",
"2046-30=2016",
"2016/42=48"
] | Current State: 48:[93, 42, 22, 30], Operations: []
Exploring Operation: 93*22=2046, Resulting Numbers: [42, 30, 2046]
Generated Node #2: [42, 30, 2046] from Operation: 93*22=2046
Current State: 48:[42, 30, 2046], Operations: ['93*22=2046']
Exploring Operation: 2046-30=2016, Resulting Numbers: [42, 2016]
Generated Node #3: [42, 2016] from Operation: 2046-30=2016
Current State: 48:[42, 2016], Operations: ['93*22=2046', '2046-30=2016']
Exploring Operation: 2016/42=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[93, 42, 22, 30], Operations: []
Exploring Operation: 93-42=51, Resulting Numbers: [22, 30, 51]
Generated Node #0,0: 48:[22, 30, 51] Operation: 93-42=51
Exploring Operation: 30-22=8, Resulting Numbers: [93, 42, 8]
Generated Node #0,1: 48:[93, 42, 8] Operation: 30-22=8
Exploring Operation: 93-22=71, Resulting Numbers: [42, 30, 71]
Generated Node #0,2: 48:[42, 30, 71] Operation: 93-22=71
Exploring Operation: 93-30=63, Resulting Numbers: [42, 22, 63]
Generated Node #0,3: 48:[42, 22, 63] Operation: 93-30=63
Exploring Operation: 42-30=12, Resulting Numbers: [93, 22, 12]
Generated Node #0,4: 48:[93, 22, 12] Operation: 42-30=12
Moving to Node #0,0
Current State: 48:[22, 30, 51], Operations: ['93-42=51']
Exploring Operation: 22+30=52, Resulting Numbers: [51, 52]
Generated Node #0,0,0: 48:[51, 52] Operation: 22+30=52
Exploring Operation: 51-22=29, Resulting Numbers: [30, 29]
Generated Node #0,0,1: 48:[30, 29] Operation: 51-22=29
Exploring Operation: 51-30=21, Resulting Numbers: [22, 21]
Generated Node #0,0,2: 48:[22, 21] Operation: 51-30=21
Exploring Operation: 22+51=73, Resulting Numbers: [30, 73]
Generated Node #0,0,3: 48:[30, 73] Operation: 22+51=73
Exploring Operation: 30-22=8, Resulting Numbers: [51, 8]
Generated Node #0,0,4: 48:[51, 8] Operation: 30-22=8
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 48:[51, 8], Operations: ['93-42=51', '30-22=8']
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 51*8=408, Resulting Numbers: [408]
408,48 unequal: No Solution
Exploring Operation: 51+8=59, Resulting Numbers: [59]
59,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 48:[22, 21], Operations: ['93-42=51', '51-30=21']
Exploring Operation: 22+21=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 22*21=462, Resulting Numbers: [462]
462,48 unequal: No Solution
Exploring Operation: 22-21=1, Resulting Numbers: [1]
1,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[51, 52], Operations: ['93-42=51', '22+30=52']
Exploring Operation: 51*52=2652, Resulting Numbers: [2652]
2652,48 unequal: No Solution
Exploring Operation: 52-51=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 51+52=103, Resulting Numbers: [103]
103,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 48:[30, 29], Operations: ['93-42=51', '51-22=29']
Exploring Operation: 30*29=870, Resulting Numbers: [870]
870,48 unequal: No Solution
Exploring Operation: 30+29=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 48:[30, 73], Operations: ['93-42=51', '22+51=73']
Exploring Operation: 30+73=103, Resulting Numbers: [103]
103,48 unequal: No Solution
Exploring Operation: 30*73=2190, Resulting Numbers: [2190]
2190,48 unequal: No Solution
Exploring Operation: 73-30=43, Resulting Numbers: [43]
43,48 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: 48:[42, 22, 63], Operations: ['93-30=63']
Exploring Operation: 63-22=41, Resulting Numbers: [42, 41]
Generated Node #0,3,0: 48:[42, 41] Operation: 63-22=41
Exploring Operation: 42+22=64, Resulting Numbers: [63, 64]
Generated Node #0,3,1: 48:[63, 64] Operation: 42+22=64
Exploring Operation: 63-42=21, Resulting Numbers: [22, 21]
Generated Node #0,3,2: 48:[22, 21] Operation: 63-42=21
Exploring Operation: 42-22=20, Resulting Numbers: [63, 20]
Generated Node #0,3,3: 48:[63, 20] Operation: 42-22=20
Exploring Operation: 22+63=85, Resulting Numbers: [42, 85]
Generated Node #0,3,4: 48:[42, 85] Operation: 22+63=85
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 48:[22, 21], Operations: ['93-30=63', '63-42=21']
Exploring Operation: 22-21=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 22+21=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 22*21=462, Resulting Numbers: [462]
462,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 48:[42, 41], Operations: ['93-30=63', '63-22=41']
Exploring Operation: 42+41=83, Resulting Numbers: [83]
83,48 unequal: No Solution
Exploring Operation: 42*41=1722, Resulting Numbers: [1722]
1722,48 unequal: No Solution
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 48:[63, 20], Operations: ['93-30=63', '42-22=20']
Exploring Operation: 63*20=1260, Resulting Numbers: [1260]
1260,48 unequal: No Solution
Exploring Operation: 63+20=83, Resulting Numbers: [83]
83,48 unequal: No Solution
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 48:[63, 64], Operations: ['93-30=63', '42+22=64']
Exploring Operation: 63+64=127, Resulting Numbers: [127]
127,48 unequal: No Solution
Exploring Operation: 64-63=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 63*64=4032, Resulting Numbers: [4032]
4032,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 48:[42, 85], Operations: ['93-30=63', '22+63=85']
Exploring Operation: 42*85=3570, Resulting Numbers: [3570]
3570,48 unequal: No Solution
Exploring Operation: 42+85=127, Resulting Numbers: [127]
127,48 unequal: No Solution
Exploring Operation: 85-42=43, Resulting Numbers: [43]
43,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 48:[42, 30, 71], Operations: ['93-22=71']
Exploring Operation: 71-42=29, Resulting Numbers: [30, 29]
Generated Node #0,2,0: 48:[30, 29] Operation: 71-42=29
Exploring Operation: 71-30=41, Resulting Numbers: [42, 41]
Generated Node #0,2,1: 48:[42, 41] Operation: 71-30=41
Exploring Operation: 30+71=101, Resulting Numbers: [42, 101]
Generated Node #0,2,2: 48:[42, 101] Operation: 30+71=101
Exploring Operation: 42+30=72, Resulting Numbers: [71, 72]
Generated Node #0,2,3: 48:[71, 72] Operation: 42+30=72
Exploring Operation: 42-30=12, Resulting Numbers: [71, 12]
Generated Node #0,2,4: 48:[71, 12] Operation: 42-30=12
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 48:[30, 29], Operations: ['93-22=71', '71-42=29']
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 30*29=870, Resulting Numbers: [870]
870,48 unequal: No Solution
Exploring Operation: 30+29=59, Resulting Numbers: [59]
59,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 48:[42, 41], Operations: ['93-22=71', '71-30=41']
Exploring Operation: 42*41=1722, Resulting Numbers: [1722]
1722,48 unequal: No Solution
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 42+41=83, Resulting Numbers: [83]
83,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 48:[71, 12], Operations: ['93-22=71', '42-30=12']
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Exploring Operation: 71+12=83, Resulting Numbers: [83]
83,48 unequal: No Solution
Exploring Operation: 71*12=852, Resulting Numbers: [852]
852,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 48:[71, 72], Operations: ['93-22=71', '42+30=72']
Exploring Operation: 71*72=5112, Resulting Numbers: [5112]
5112,48 unequal: No Solution
Exploring Operation: 72-71=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 71+72=143, Resulting Numbers: [143]
143,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 48:[42, 101], Operations: ['93-22=71', '30+71=101']
Exploring Operation: 42+101=143, Resulting Numbers: [143]
143,48 unequal: No Solution
Exploring Operation: 101-42=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Exploring Operation: 42*101=4242, Resulting Numbers: [4242]
4242,48 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: 48:[93, 22, 12], Operations: ['42-30=12']
Exploring Operation: 22-12=10, Resulting Numbers: [93, 10]
Generated Node #0,4,0: 48:[93, 10] Operation: 22-12=10
Exploring Operation: 93+12=105, Resulting Numbers: [22, 105]
Generated Node #0,4,1: 48:[22, 105] Operation: 93+12=105
Exploring Operation: 22+12=34, Resulting Numbers: [93, 34]
Generated Node #0,4,2: 48:[93, 34] Operation: 22+12=34
Exploring Operation: 93-12=81, Resulting Numbers: [22, 81]
Generated Node #0,4,3: 48:[22, 81] Operation: 93-12=81
Exploring Operation: 93-22=71, Resulting Numbers: [12, 71]
Generated Node #0,4,4: 48:[12, 71] Operation: 93-22=71
Moving to Node #0,1
Current State: 48:[93, 42, 8], Operations: ['30-22=8']
Exploring Operation: 42+8=50, Resulting Numbers: [93, 50]
Generated Node #0,1,0: 48:[93, 50] Operation: 42+8=50
Exploring Operation: 42-8=34, Resulting Numbers: [93, 34]
Generated Node #0,1,1: 48:[93, 34] Operation: 42-8=34
Exploring Operation: 93+8=101, Resulting Numbers: [42, 101]
Generated Node #0,1,2: 48:[42, 101] Operation: 93+8=101
Exploring Operation: 93-42=51, Resulting Numbers: [8, 51]
Generated Node #0,1,3: 48:[8, 51] Operation: 93-42=51
Exploring Operation: 93-8=85, Resulting Numbers: [42, 85]
Generated Node #0,1,4: 48:[42, 85] Operation: 93-8=85
Moving to Node #0,1,3
Current State: 48:[8, 51], Operations: ['30-22=8', '93-42=51']
Exploring Operation: 8+51=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Exploring Operation: 8*51=408, Resulting Numbers: [408]
408,48 unequal: No Solution
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Moving to Node #0,4,4
Current State: 48:[12, 71], Operations: ['42-30=12', '93-22=71']
Exploring Operation: 12+71=83, Resulting Numbers: [83]
83,48 unequal: No Solution
Exploring Operation: 12*71=852, Resulting Numbers: [852]
852,48 unequal: No Solution
Exploring Operation: 71-12=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Moving to Node #0,4,3
Current State: 48:[22, 81], Operations: ['42-30=12', '93-12=81']
Exploring Operation: 22+81=103, Resulting Numbers: [103]
103,48 unequal: No Solution
Exploring Operation: 22*81=1782, Resulting Numbers: [1782]
1782,48 unequal: No Solution
Exploring Operation: 81-22=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Moving to Node #0,1,4
Current State: 48:[42, 85], Operations: ['30-22=8', '93-8=85']
Exploring Operation: 85-42=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 42*85=3570, Resulting Numbers: [3570]
3570,48 unequal: No Solution
Exploring Operation: 42+85=127, Resulting Numbers: [127]
127,48 unequal: No Solution
Moving to Node #0,4,0
Current State: 48:[93, 10], Operations: ['42-30=12', '22-12=10']
Exploring Operation: 93*10=930, Resulting Numbers: [930]
930,48 unequal: No Solution
Exploring Operation: 93+10=103, Resulting Numbers: [103]
103,48 unequal: No Solution
Exploring Operation: 93-10=83, Resulting Numbers: [83]
83,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[93, 50], Operations: ['30-22=8', '42+8=50']
Exploring Operation: 93+50=143, Resulting Numbers: [143]
143,48 unequal: No Solution
Exploring Operation: 93-50=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 93*50=4650, Resulting Numbers: [4650]
4650,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[93, 34], Operations: ['30-22=8', '42-8=34']
Exploring Operation: 93-34=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Exploring Operation: 93*34=3162, Resulting Numbers: [3162]
3162,48 unequal: No Solution
Exploring Operation: 93+34=127, Resulting Numbers: [127]
127,48 unequal: No Solution
Moving to Node #0,4,2
Current State: 48:[93, 34], Operations: ['42-30=12', '22+12=34']
Exploring Operation: 93+34=127, Resulting Numbers: [127]
127,48 unequal: No Solution
Exploring Operation: 93-34=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Exploring Operation: 93*34=3162, Resulting Numbers: [3162]
3162,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[42, 101], Operations: ['30-22=8', '93+8=101']
Exploring Operation: 42*101=4242, Resulting Numbers: [4242]
4242,48 unequal: No Solution
Exploring Operation: 42+101=143, Resulting Numbers: [143]
143,48 unequal: No Solution
Exploring Operation: 101-42=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Moving to Node #0,4,1
Current State: 48:[22, 105], Operations: ['42-30=12', '93+12=105']
Exploring Operation: 22+105=127, Resulting Numbers: [127]
127,48 unequal: No Solution
Exploring Operation: 105-22=83, Resulting Numbers: [83]
83,48 unequal: No Solution
Exploring Operation: 22*105=2310, Resulting Numbers: [2310]
2310,48 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
62,
98,
51,
72
] | 49 | [
"98-62=36",
"72/36=2",
"51-2=49"
] | Current State: 49:[62, 98, 51, 72], Operations: []
Exploring Operation: 98-62=36, Resulting Numbers: [51, 72, 36]
Generated Node #2: [51, 72, 36] from Operation: 98-62=36
Current State: 49:[51, 72, 36], Operations: ['98-62=36']
Exploring Operation: 72/36=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 72/36=2
Current State: 49:[51, 2], Operations: ['98-62=36', '72/36=2']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[62, 98, 51, 72], Operations: []
Exploring Operation: 98-72=26, Resulting Numbers: [62, 51, 26]
Generated Node #0,0: 49:[62, 51, 26] Operation: 98-72=26
Exploring Operation: 98-62=36, Resulting Numbers: [51, 72, 36]
Generated Node #0,1: 49:[51, 72, 36] Operation: 98-62=36
Moving to Node #0,0
Current State: 49:[62, 51, 26], Operations: ['98-72=26']
Exploring Operation: 62-26=36, Resulting Numbers: [51, 36]
Generated Node #0,0,0: 49:[51, 36] Operation: 62-26=36
Exploring Operation: 62-51=11, Resulting Numbers: [26, 11]
Generated Node #0,0,1: 49:[26, 11] Operation: 62-51=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 49:[51, 36], Operations: ['98-72=26', '62-26=36']
Exploring Operation: 51-36=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 51+36=87, Resulting Numbers: [87]
87,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 49:[26, 11], Operations: ['98-72=26', '62-51=11']
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 49:[51, 72, 36], Operations: ['98-62=36']
Exploring Operation: 72/36=2, Resulting Numbers: [51, 2]
Generated Node #0,1,0: 49:[51, 2] Operation: 72/36=2
Exploring Operation: 72-36=36, Resulting Numbers: [51, 36]
Generated Node #0,1,1: 49:[51, 36] Operation: 72-36=36
Moving to Node #0,1,0
Current State: 49:[51, 2], Operations: ['98-62=36', '72/36=2']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[62, 98, 51, 72], Operations: []
Exploring Operation: 98-62=36, Resulting Numbers: [51, 72, 36]
Generated Node #0,1: 49:[51, 72, 36] Operation: 98-62=36
Moving to Node #0,1
Current State: 49:[51, 72, 36], Operations: ['98-62=36']
Exploring Operation: 72/36=2, Resulting Numbers: [51, 2]
Generated Node #0,1,0: 49:[51, 2] Operation: 72/36=2
Moving to Node #0,1,0
Current State: 49:[51, 2], Operations: ['98-62=36', '72/36=2']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
31,
89,
15,
76
] | 42 | [
"89+76=165",
"165/15=11",
"31+11=42"
] | Current State: 42:[31, 89, 15, 76], Operations: []
Exploring Operation: 89+76=165, Resulting Numbers: [31, 15, 165]
Generated Node #2: [31, 15, 165] from Operation: 89+76=165
Current State: 42:[31, 15, 165], Operations: ['89+76=165']
Exploring Operation: 165/15=11, Resulting Numbers: [31, 11]
Generated Node #3: [31, 11] from Operation: 165/15=11
Current State: 42:[31, 11], Operations: ['89+76=165', '165/15=11']
Exploring Operation: 31+11=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[31, 89, 15, 76], Operations: []
Exploring Operation: 89-76=13, Resulting Numbers: [31, 15, 13]
Generated Node #0,0: 42:[31, 15, 13] Operation: 89-76=13
Exploring Operation: 76-31=45, Resulting Numbers: [89, 15, 45]
Generated Node #0,1: 42:[89, 15, 45] Operation: 76-31=45
Exploring Operation: 76-15=61, Resulting Numbers: [31, 89, 61]
Generated Node #0,2: 42:[31, 89, 61] Operation: 76-15=61
Exploring Operation: 89-31=58, Resulting Numbers: [15, 76, 58]
Generated Node #0,3: 42:[15, 76, 58] Operation: 89-31=58
Exploring Operation: 89-15=74, Resulting Numbers: [31, 76, 74]
Generated Node #0,4: 42:[31, 76, 74] Operation: 89-15=74
Moving to Node #0,0
Current State: 42:[31, 15, 13], Operations: ['89-76=13']
Exploring Operation: 31+15=46, Resulting Numbers: [13, 46]
Generated Node #0,0,0: 42:[13, 46] Operation: 31+15=46
Exploring Operation: 31-13=18, Resulting Numbers: [15, 18]
Generated Node #0,0,1: 42:[15, 18] Operation: 31-13=18
Exploring Operation: 31-15=16, Resulting Numbers: [13, 16]
Generated Node #0,0,2: 42:[13, 16] Operation: 31-15=16
Exploring Operation: 15-13=2, Resulting Numbers: [31, 2]
Generated Node #0,0,3: 42:[31, 2] Operation: 15-13=2
Exploring Operation: 31+13=44, Resulting Numbers: [15, 44]
Generated Node #0,0,4: 42:[15, 44] Operation: 31+13=44
Moving to Node #0,3
Current State: 42:[15, 76, 58], Operations: ['89-31=58']
Exploring Operation: 76-15=61, Resulting Numbers: [58, 61]
Generated Node #0,3,0: 42:[58, 61] Operation: 76-15=61
Exploring Operation: 58-15=43, Resulting Numbers: [76, 43]
Generated Node #0,3,1: 42:[76, 43] Operation: 58-15=43
Exploring Operation: 15+58=73, Resulting Numbers: [76, 73]
Generated Node #0,3,2: 42:[76, 73] Operation: 15+58=73
Exploring Operation: 76-58=18, Resulting Numbers: [15, 18]
Generated Node #0,3,3: 42:[15, 18] Operation: 76-58=18
Exploring Operation: 15+76=91, Resulting Numbers: [58, 91]
Generated Node #0,3,4: 42:[58, 91] Operation: 15+76=91
Moving to Node #0,1
Current State: 42:[89, 15, 45], Operations: ['76-31=45']
Exploring Operation: 45-15=30, Resulting Numbers: [89, 30]
Generated Node #0,1,0: 42:[89, 30] Operation: 45-15=30
Exploring Operation: 89-15=74, Resulting Numbers: [45, 74]
Generated Node #0,1,1: 42:[45, 74] Operation: 89-15=74
Exploring Operation: 89-45=44, Resulting Numbers: [15, 44]
Generated Node #0,1,2: 42:[15, 44] Operation: 89-45=44
Exploring Operation: 45/15=3, Resulting Numbers: [89, 3]
Generated Node #0,1,3: 42:[89, 3] Operation: 45/15=3
Exploring Operation: 89+15=104, Resulting Numbers: [45, 104]
Generated Node #0,1,4: 42:[45, 104] Operation: 89+15=104
Moving to Node #0,2
Current State: 42:[31, 89, 61], Operations: ['76-15=61']
Exploring Operation: 31+89=120, Resulting Numbers: [61, 120]
Generated Node #0,2,0: 42:[61, 120] Operation: 31+89=120
Exploring Operation: 61-31=30, Resulting Numbers: [89, 30]
Generated Node #0,2,1: 42:[89, 30] Operation: 61-31=30
Exploring Operation: 89-31=58, Resulting Numbers: [61, 58]
Generated Node #0,2,2: 42:[61, 58] Operation: 89-31=58
Exploring Operation: 31+61=92, Resulting Numbers: [89, 92]
Generated Node #0,2,3: 42:[89, 92] Operation: 31+61=92
Exploring Operation: 89-61=28, Resulting Numbers: [31, 28]
Generated Node #0,2,4: 42:[31, 28] Operation: 89-61=28
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 42:[31, 28], Operations: ['76-15=61', '89-61=28']
Exploring Operation: 31+28=59, Resulting Numbers: [59]
59,42 unequal: No Solution
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Exploring Operation: 31*28=868, Resulting Numbers: [868]
868,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 42:[61, 58], Operations: ['76-15=61', '89-31=58']
Exploring Operation: 61*58=3538, Resulting Numbers: [3538]
3538,42 unequal: No Solution
Exploring Operation: 61+58=119, Resulting Numbers: [119]
119,42 unequal: No Solution
Exploring Operation: 61-58=3, Resulting Numbers: [3]
3,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 42:[89, 30], Operations: ['76-15=61', '61-31=30']
Exploring Operation: 89+30=119, Resulting Numbers: [119]
119,42 unequal: No Solution
Exploring Operation: 89*30=2670, Resulting Numbers: [2670]
2670,42 unequal: No Solution
Exploring Operation: 89-30=59, Resulting Numbers: [59]
59,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 42:[61, 120], Operations: ['76-15=61', '31+89=120']
Exploring Operation: 61*120=7320, Resulting Numbers: [7320]
7320,42 unequal: No Solution
Exploring Operation: 61+120=181, Resulting Numbers: [181]
181,42 unequal: No Solution
Exploring Operation: 120-61=59, Resulting Numbers: [59]
59,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 42:[89, 92], Operations: ['76-15=61', '31+61=92']
Exploring Operation: 92-89=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Exploring Operation: 89+92=181, Resulting Numbers: [181]
181,42 unequal: No Solution
Exploring Operation: 89*92=8188, Resulting Numbers: [8188]
8188,42 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: 42:[31, 76, 74], Operations: ['89-15=74']
Exploring Operation: 31+76=107, Resulting Numbers: [74, 107]
Generated Node #0,4,0: 42:[74, 107] Operation: 31+76=107
Exploring Operation: 76-31=45, Resulting Numbers: [74, 45]
Generated Node #0,4,1: 42:[74, 45] Operation: 76-31=45
Exploring Operation: 76-74=2, Resulting Numbers: [31, 2]
Generated Node #0,4,2: 42:[31, 2] Operation: 76-74=2
Exploring Operation: 31+74=105, Resulting Numbers: [76, 105]
Generated Node #0,4,3: 42:[76, 105] Operation: 31+74=105
Exploring Operation: 74-31=43, Resulting Numbers: [76, 43]
Generated Node #0,4,4: 42:[76, 43] Operation: 74-31=43
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 42:[31, 2], Operations: ['89-15=74', '76-74=2']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,42 unequal: No Solution
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,42 unequal: No Solution
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 42:[74, 45], Operations: ['89-15=74', '76-31=45']
Exploring Operation: 74+45=119, Resulting Numbers: [119]
119,42 unequal: No Solution
Exploring Operation: 74-45=29, Resulting Numbers: [29]
29,42 unequal: No Solution
Exploring Operation: 74*45=3330, Resulting Numbers: [3330]
3330,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 42:[76, 43], Operations: ['89-15=74', '74-31=43']
Exploring Operation: 76-43=33, Resulting Numbers: [33]
33,42 unequal: No Solution
Exploring Operation: 76+43=119, Resulting Numbers: [119]
119,42 unequal: No Solution
Exploring Operation: 76*43=3268, Resulting Numbers: [3268]
3268,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 42:[74, 107], Operations: ['89-15=74', '31+76=107']
Exploring Operation: 74+107=181, Resulting Numbers: [181]
181,42 unequal: No Solution
Exploring Operation: 74*107=7918, Resulting Numbers: [7918]
7918,42 unequal: No Solution
Exploring Operation: 107-74=33, Resulting Numbers: [33]
33,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 42:[76, 105], Operations: ['89-15=74', '31+74=105']
Exploring Operation: 76*105=7980, Resulting Numbers: [7980]
7980,42 unequal: No Solution
Exploring Operation: 105-76=29, Resulting Numbers: [29]
29,42 unequal: No Solution
Exploring Operation: 76+105=181, Resulting Numbers: [181]
181,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 42:[13, 16], Operations: ['89-76=13', '31-15=16']
Exploring Operation: 13*16=208, Resulting Numbers: [208]
208,42 unequal: No Solution
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Exploring Operation: 13+16=29, Resulting Numbers: [29]
29,42 unequal: No Solution
Moving to Node #0,0,4
Current State: 42:[15, 44], Operations: ['89-76=13', '31+13=44']
Exploring Operation: 15*44=660, Resulting Numbers: [660]
660,42 unequal: No Solution
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,42 unequal: No Solution
Exploring Operation: 15+44=59, Resulting Numbers: [59]
59,42 unequal: No Solution
Moving to Node #0,1,2
Current State: 42:[15, 44], Operations: ['76-31=45', '89-45=44']
Exploring Operation: 15*44=660, Resulting Numbers: [660]
660,42 unequal: No Solution
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,42 unequal: No Solution
Exploring Operation: 15+44=59, Resulting Numbers: [59]
59,42 unequal: No Solution
Moving to Node #0,0,1
Current State: 42:[15, 18], Operations: ['89-76=13', '31-13=18']
Exploring Operation: 15+18=33, Resulting Numbers: [33]
33,42 unequal: No Solution
Exploring Operation: 15*18=270, Resulting Numbers: [270]
270,42 unequal: No Solution
Exploring Operation: 18-15=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Moving to Node #0,3,3
Current State: 42:[15, 18], Operations: ['89-31=58', '76-58=18']
Exploring Operation: 15+18=33, Resulting Numbers: [33]
33,42 unequal: No Solution
Exploring Operation: 18-15=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Exploring Operation: 15*18=270, Resulting Numbers: [270]
270,42 unequal: No Solution
Moving to Node #0,0,0
Current State: 42:[13, 46], Operations: ['89-76=13', '31+15=46']
Exploring Operation: 13+46=59, Resulting Numbers: [59]
59,42 unequal: No Solution
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,42 unequal: No Solution
Exploring Operation: 13*46=598, Resulting Numbers: [598]
598,42 unequal: No Solution
Moving to Node #0,0,3
Current State: 42:[31, 2], Operations: ['89-76=13', '15-13=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,42 unequal: No Solution
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,42 unequal: No Solution
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,42 unequal: No Solution
Moving to Node #0,3,0
Current State: 42:[58, 61], Operations: ['89-31=58', '76-15=61']
Exploring Operation: 58*61=3538, Resulting Numbers: [3538]
3538,42 unequal: No Solution
Exploring Operation: 61-58=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Exploring Operation: 58+61=119, Resulting Numbers: [119]
119,42 unequal: No Solution
Moving to Node #0,1,1
Current State: 42:[45, 74], Operations: ['76-31=45', '89-15=74']
Exploring Operation: 45*74=3330, Resulting Numbers: [3330]
3330,42 unequal: No Solution
Exploring Operation: 45+74=119, Resulting Numbers: [119]
119,42 unequal: No Solution
Exploring Operation: 74-45=29, Resulting Numbers: [29]
29,42 unequal: No Solution
Moving to Node #0,3,1
Current State: 42:[76, 43], Operations: ['89-31=58', '58-15=43']
Exploring Operation: 76*43=3268, Resulting Numbers: [3268]
3268,42 unequal: No Solution
Exploring Operation: 76-43=33, Resulting Numbers: [33]
33,42 unequal: No Solution
Exploring Operation: 76+43=119, Resulting Numbers: [119]
119,42 unequal: No Solution
Moving to Node #0,1,3
Current State: 42:[89, 3], Operations: ['76-31=45', '45/15=3']
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,42 unequal: No Solution
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,42 unequal: No Solution
Exploring Operation: 89*3=267, Resulting Numbers: [267]
267,42 unequal: No Solution
Moving to Node #0,1,0
Current State: 42:[89, 30], Operations: ['76-31=45', '45-15=30']
Exploring Operation: 89*30=2670, Resulting Numbers: [2670]
2670,42 unequal: No Solution
Exploring Operation: 89+30=119, Resulting Numbers: [119]
119,42 unequal: No Solution
Exploring Operation: 89-30=59, Resulting Numbers: [59]
59,42 unequal: No Solution
Moving to Node #0,3,2
Current State: 42:[76, 73], Operations: ['89-31=58', '15+58=73']
Exploring Operation: 76+73=149, Resulting Numbers: [149]
149,42 unequal: No Solution
Exploring Operation: 76*73=5548, Resulting Numbers: [5548]
5548,42 unequal: No Solution
Exploring Operation: 76-73=3, Resulting Numbers: [3]
3,42 unequal: No Solution
Moving to Node #0,1,4
Current State: 42:[45, 104], Operations: ['76-31=45', '89+15=104']
Exploring Operation: 45*104=4680, Resulting Numbers: [4680]
4680,42 unequal: No Solution
Exploring Operation: 104-45=59, Resulting Numbers: [59]
59,42 unequal: No Solution
Exploring Operation: 45+104=149, Resulting Numbers: [149]
149,42 unequal: No Solution
Moving to Node #0,3,4
Current State: 42:[58, 91], Operations: ['89-31=58', '15+76=91']
Exploring Operation: 58+91=149, Resulting Numbers: [149]
149,42 unequal: No Solution
Exploring Operation: 58*91=5278, Resulting Numbers: [5278]
5278,42 unequal: No Solution
Exploring Operation: 91-58=33, Resulting Numbers: [33]
33,42 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
65,
3,
47,
66
] | 43 | [
"65-3=62",
"66-47=19",
"62-19=43"
] | Current State: 43:[65, 3, 47, 66], Operations: []
Exploring Operation: 65-3=62, Resulting Numbers: [47, 66, 62]
Generated Node #2: [47, 66, 62] from Operation: 65-3=62
Current State: 43:[47, 66, 62], Operations: ['65-3=62']
Exploring Operation: 66-47=19, Resulting Numbers: [62, 19]
Generated Node #3: [62, 19] from Operation: 66-47=19
Current State: 43:[62, 19], Operations: ['65-3=62', '66-47=19']
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[65, 3, 47, 66], Operations: []
Exploring Operation: 47-3=44, Resulting Numbers: [65, 66, 44]
Generated Node #0,0: 43:[65, 66, 44] Operation: 47-3=44
Exploring Operation: 65-3=62, Resulting Numbers: [47, 66, 62]
Generated Node #0,1: 43:[47, 66, 62] Operation: 65-3=62
Moving to Node #0,0
Current State: 43:[65, 66, 44], Operations: ['47-3=44']
Exploring Operation: 66-44=22, Resulting Numbers: [65, 22]
Generated Node #0,0,0: 43:[65, 22] Operation: 66-44=22
Exploring Operation: 66-65=1, Resulting Numbers: [44, 1]
Generated Node #0,0,1: 43:[44, 1] Operation: 66-65=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 43:[65, 22], Operations: ['47-3=44', '66-44=22']
Exploring Operation: 65+22=87, Resulting Numbers: [87]
87,43 unequal: No Solution
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[65, 3, 47, 66], Operations: []
Exploring Operation: 47-3=44, Resulting Numbers: [65, 66, 44]
Generated Node #0,0: 43:[65, 66, 44] Operation: 47-3=44
Moving to Node #0,0
Current State: 43:[65, 66, 44], Operations: ['47-3=44']
Exploring Operation: 66-44=22, Resulting Numbers: [65, 22]
Generated Node #0,0,0: 43:[65, 22] Operation: 66-44=22
Moving to Node #0,0,0
Current State: 43:[65, 22], Operations: ['47-3=44', '66-44=22']
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
46,
2,
31,
96
] | 62 | [
"46+2=48",
"31*96=2976",
"2976/48=62"
] | Current State: 62:[46, 2, 31, 96], Operations: []
Exploring Operation: 46+2=48, Resulting Numbers: [31, 96, 48]
Generated Node #2: [31, 96, 48] from Operation: 46+2=48
Current State: 62:[31, 96, 48], Operations: ['46+2=48']
Exploring Operation: 31*96=2976, Resulting Numbers: [48, 2976]
Generated Node #3: [48, 2976] from Operation: 31*96=2976
Current State: 62:[48, 2976], Operations: ['46+2=48', '31*96=2976']
Exploring Operation: 2976/48=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[46, 2, 31, 96], Operations: []
Exploring Operation: 96/2=48, Resulting Numbers: [46, 31, 48]
Generated Node #0,0: 62:[46, 31, 48] Operation: 96/2=48
Exploring Operation: 96-31=65, Resulting Numbers: [46, 2, 65]
Generated Node #0,1: 62:[46, 2, 65] Operation: 96-31=65
Exploring Operation: 96-46=50, Resulting Numbers: [2, 31, 50]
Generated Node #0,2: 62:[2, 31, 50] Operation: 96-46=50
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[2, 31, 50], Operations: ['96-46=50']
Exploring Operation: 2*31=62, Resulting Numbers: [50, 62]
Generated Node #0,2,0: 62:[50, 62] Operation: 2*31=62
Exploring Operation: 50/2=25, Resulting Numbers: [31, 25]
Generated Node #0,2,1: 62:[31, 25] Operation: 50/2=25
Exploring Operation: 2+50=52, Resulting Numbers: [31, 52]
Generated Node #0,2,2: 62:[31, 52] Operation: 2+50=52
Moving to Node #0,2,1
Current State: 62:[31, 25], Operations: ['96-46=50', '50/2=25']
Exploring Operation: 31+25=56, Resulting Numbers: [56]
56,62 unequal: No Solution
Exploring Operation: 31*25=775, Resulting Numbers: [775]
775,62 unequal: No Solution
Exploring Operation: 31-25=6, Resulting Numbers: [6]
6,62 unequal: No Solution
Moving to Node #0,2,2
Current State: 62:[31, 52], Operations: ['96-46=50', '2+50=52']
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,62 unequal: No Solution
Exploring Operation: 31*52=1612, Resulting Numbers: [1612]
1612,62 unequal: No Solution
Exploring Operation: 31+52=83, Resulting Numbers: [83]
83,62 unequal: No Solution
Moving to Node #0,2,0
Current State: 62:[50, 62], Operations: ['96-46=50', '2*31=62']
Exploring Operation: 62-50=12, Resulting Numbers: [12]
12,62 unequal: No Solution
Exploring Operation: 50*62=3100, Resulting Numbers: [3100]
3100,62 unequal: No Solution
Exploring Operation: 50+62=112, Resulting Numbers: [112]
112,62 unequal: No Solution
No 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: 62:[46, 2, 65], Operations: ['96-31=65']
Exploring Operation: 46/2=23, Resulting Numbers: [65, 23]
Generated Node #0,1,0: 62:[65, 23] Operation: 46/2=23
Exploring Operation: 65-46=19, Resulting Numbers: [2, 19]
Generated Node #0,1,1: 62:[2, 19] Operation: 65-46=19
Exploring Operation: 46-2=44, Resulting Numbers: [65, 44]
Generated Node #0,1,2: 62:[65, 44] Operation: 46-2=44
Moving to Node #0,1,0
Current State: 62:[65, 23], Operations: ['96-31=65', '46/2=23']
Exploring Operation: 65+23=88, Resulting Numbers: [88]
88,62 unequal: No Solution
Exploring Operation: 65*23=1495, Resulting Numbers: [1495]
1495,62 unequal: No Solution
Exploring Operation: 65-23=42, Resulting Numbers: [42]
42,62 unequal: No Solution
Moving to Node #0,1,1
Current State: 62:[2, 19], Operations: ['96-31=65', '65-46=19']
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,62 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,62 unequal: No Solution
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,62 unequal: No Solution
Moving to Node #0,1,2
Current State: 62:[65, 44], Operations: ['96-31=65', '46-2=44']
Exploring Operation: 65-44=21, Resulting Numbers: [21]
21,62 unequal: No Solution
Exploring Operation: 65*44=2860, Resulting Numbers: [2860]
2860,62 unequal: No Solution
Exploring Operation: 65+44=109, Resulting Numbers: [109]
109,62 unequal: No Solution
No 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: 62:[46, 31, 48], Operations: ['96/2=48']
Exploring Operation: 46+31=77, Resulting Numbers: [48, 77]
Generated Node #0,0,0: 62:[48, 77] Operation: 46+31=77
Exploring Operation: 46-31=15, Resulting Numbers: [48, 15]
Generated Node #0,0,1: 62:[48, 15] Operation: 46-31=15
Exploring Operation: 48-46=2, Resulting Numbers: [31, 2]
Generated Node #0,0,2: 62:[31, 2] Operation: 48-46=2
Moving to Node #0,0,2
Current State: 62:[31, 2], Operations: ['96/2=48', '48-46=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[46, 2, 31, 96], Operations: []
Exploring Operation: 96/2=48, Resulting Numbers: [46, 31, 48]
Generated Node #0,0: 62:[46, 31, 48] Operation: 96/2=48
Moving to Node #0,0
Current State: 62:[46, 31, 48], Operations: ['96/2=48']
Exploring Operation: 48-46=2, Resulting Numbers: [31, 2]
Generated Node #0,0,2: 62:[31, 2] Operation: 48-46=2
Moving to Node #0,0,2
Current State: 62:[31, 2], Operations: ['96/2=48', '48-46=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_3 | sum_heuristic |
[
42,
2,
91,
14
] | 44 | [
"42/14=3",
"91-3=88",
"88/2=44"
] | Current State: 44:[42, 2, 91, 14], Operations: []
Exploring Operation: 42/14=3, Resulting Numbers: [2, 91, 3]
Generated Node #2: [2, 91, 3] from Operation: 42/14=3
Current State: 44:[2, 91, 3], Operations: ['42/14=3']
Exploring Operation: 91-3=88, Resulting Numbers: [2, 88]
Generated Node #3: [2, 88] from Operation: 91-3=88
Current State: 44:[2, 88], Operations: ['42/14=3', '91-3=88']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[42, 2, 91, 14], Operations: []
Exploring Operation: 42+2=44, Resulting Numbers: [91, 14, 44]
Generated Node #0,0: 44:[91, 14, 44] Operation: 42+2=44
Exploring Operation: 91-42=49, Resulting Numbers: [2, 14, 49]
Generated Node #0,1: 44:[2, 14, 49] Operation: 91-42=49
Exploring Operation: 91-14=77, Resulting Numbers: [42, 2, 77]
Generated Node #0,2: 44:[42, 2, 77] Operation: 91-14=77
Exploring Operation: 42/14=3, Resulting Numbers: [2, 91, 3]
Generated Node #0,3: 44:[2, 91, 3] Operation: 42/14=3
Exploring Operation: 91-2=89, Resulting Numbers: [42, 14, 89]
Generated Node #0,4: 44:[42, 14, 89] Operation: 91-2=89
Moving to Node #0,1
Current State: 44:[2, 14, 49], Operations: ['91-42=49']
Exploring Operation: 49-14=35, Resulting Numbers: [2, 35]
Generated Node #0,1,0: 44:[2, 35] Operation: 49-14=35
Exploring Operation: 49-2=47, Resulting Numbers: [14, 47]
Generated Node #0,1,1: 44:[14, 47] Operation: 49-2=47
Exploring Operation: 2+14=16, Resulting Numbers: [49, 16]
Generated Node #0,1,2: 44:[49, 16] Operation: 2+14=16
Exploring Operation: 14-2=12, Resulting Numbers: [49, 12]
Generated Node #0,1,3: 44:[49, 12] Operation: 14-2=12
Exploring Operation: 14/2=7, Resulting Numbers: [49, 7]
Generated Node #0,1,4: 44:[49, 7] Operation: 14/2=7
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 44:[14, 47], Operations: ['91-42=49', '49-2=47']
Exploring Operation: 14*47=658, Resulting Numbers: [658]
658,44 unequal: No Solution
Exploring Operation: 14+47=61, Resulting Numbers: [61]
61,44 unequal: No Solution
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,44 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 #0,1,3
Current State: 44:[49, 12], Operations: ['91-42=49', '14-2=12']
Exploring Operation: 49+12=61, Resulting Numbers: [61]
61,44 unequal: No Solution
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,44 unequal: No Solution
Exploring Operation: 49*12=588, Resulting Numbers: [588]
588,44 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 #0,1,4
Current State: 44:[49, 7], Operations: ['91-42=49', '14/2=7']
Exploring Operation: 49/7=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Exploring Operation: 49*7=343, Resulting Numbers: [343]
343,44 unequal: No Solution
Exploring Operation: 49+7=56, Resulting Numbers: [56]
56,44 unequal: No Solution
Exploring Operation: 49-7=42, Resulting Numbers: [42]
42,44 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 #0,1,0
Current State: 44:[2, 35], Operations: ['91-42=49', '49-14=35']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,44 unequal: No Solution
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,44 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 #0,1,2
Current State: 44:[49, 16], Operations: ['91-42=49', '2+14=16']
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 49*16=784, Resulting Numbers: [784]
784,44 unequal: No Solution
Exploring Operation: 49+16=65, Resulting Numbers: [65]
65,44 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: 44:[42, 2, 77], Operations: ['91-14=77']
Exploring Operation: 42/2=21, Resulting Numbers: [77, 21]
Generated Node #0,2,0: 44:[77, 21] Operation: 42/2=21
Exploring Operation: 77-42=35, Resulting Numbers: [2, 35]
Generated Node #0,2,1: 44:[2, 35] Operation: 77-42=35
Exploring Operation: 42-2=40, Resulting Numbers: [77, 40]
Generated Node #0,2,2: 44:[77, 40] Operation: 42-2=40
Exploring Operation: 42+2=44, Resulting Numbers: [77, 44]
Generated Node #0,2,3: 44:[77, 44] Operation: 42+2=44
Exploring Operation: 77-2=75, Resulting Numbers: [42, 75]
Generated Node #0,2,4: 44:[42, 75] Operation: 77-2=75
Moving to Node #0,3
Current State: 44:[2, 91, 3], Operations: ['42/14=3']
Exploring Operation: 2+3=5, Resulting Numbers: [91, 5]
Generated Node #0,3,0: 44:[91, 5] Operation: 2+3=5
Exploring Operation: 91-2=89, Resulting Numbers: [3, 89]
Generated Node #0,3,1: 44:[3, 89] Operation: 91-2=89
Exploring Operation: 3-2=1, Resulting Numbers: [91, 1]
Generated Node #0,3,2: 44:[91, 1] Operation: 3-2=1
Exploring Operation: 91-3=88, Resulting Numbers: [2, 88]
Generated Node #0,3,3: 44:[2, 88] Operation: 91-3=88
Exploring Operation: 2*3=6, Resulting Numbers: [91, 6]
Generated Node #0,3,4: 44:[91, 6] Operation: 2*3=6
Moving to Node #0,0
Current State: 44:[91, 14, 44], Operations: ['42+2=44']
Exploring Operation: 44-14=30, Resulting Numbers: [91, 30]
Generated Node #0,0,0: 44:[91, 30] Operation: 44-14=30
Exploring Operation: 14+44=58, Resulting Numbers: [91, 58]
Generated Node #0,0,1: 44:[91, 58] Operation: 14+44=58
Exploring Operation: 91-14=77, Resulting Numbers: [44, 77]
Generated Node #0,0,2: 44:[44, 77] Operation: 91-14=77
Exploring Operation: 91-44=47, Resulting Numbers: [14, 47]
Generated Node #0,0,3: 44:[14, 47] Operation: 91-44=47
Exploring Operation: 91+14=105, Resulting Numbers: [44, 105]
Generated Node #0,0,4: 44:[44, 105] Operation: 91+14=105
Moving to Node #0,4
Current State: 44:[42, 14, 89], Operations: ['91-2=89']
Exploring Operation: 42-14=28, Resulting Numbers: [89, 28]
Generated Node #0,4,0: 44:[89, 28] Operation: 42-14=28
Exploring Operation: 89-14=75, Resulting Numbers: [42, 75]
Generated Node #0,4,1: 44:[42, 75] Operation: 89-14=75
Exploring Operation: 42+14=56, Resulting Numbers: [89, 56]
Generated Node #0,4,2: 44:[89, 56] Operation: 42+14=56
Exploring Operation: 42/14=3, Resulting Numbers: [89, 3]
Generated Node #0,4,3: 44:[89, 3] Operation: 42/14=3
Exploring Operation: 89-42=47, Resulting Numbers: [14, 47]
Generated Node #0,4,4: 44:[14, 47] Operation: 89-42=47
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 44:[14, 47], Operations: ['91-2=89', '89-42=47']
Exploring Operation: 14+47=61, Resulting Numbers: [61]
61,44 unequal: No Solution
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 14*47=658, Resulting Numbers: [658]
658,44 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 #0,4,1
Current State: 44:[42, 75], Operations: ['91-2=89', '89-14=75']
Exploring Operation: 42*75=3150, Resulting Numbers: [3150]
3150,44 unequal: No Solution
Exploring Operation: 75-42=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 42+75=117, Resulting Numbers: [117]
117,44 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 #0,4,3
Current State: 44:[89, 3], Operations: ['91-2=89', '42/14=3']
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,44 unequal: No Solution
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,44 unequal: No Solution
Exploring Operation: 89*3=267, Resulting Numbers: [267]
267,44 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 #0,4,0
Current State: 44:[89, 28], Operations: ['91-2=89', '42-14=28']
Exploring Operation: 89-28=61, Resulting Numbers: [61]
61,44 unequal: No Solution
Exploring Operation: 89+28=117, Resulting Numbers: [117]
117,44 unequal: No Solution
Exploring Operation: 89*28=2492, Resulting Numbers: [2492]
2492,44 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 #0,4,2
Current State: 44:[89, 56], Operations: ['91-2=89', '42+14=56']
Exploring Operation: 89-56=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 89+56=145, Resulting Numbers: [145]
145,44 unequal: No Solution
Exploring Operation: 89*56=4984, Resulting Numbers: [4984]
4984,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 44:[14, 47], Operations: ['42+2=44', '91-44=47']
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 14+47=61, Resulting Numbers: [61]
61,44 unequal: No Solution
Exploring Operation: 14*47=658, Resulting Numbers: [658]
658,44 unequal: No Solution
Moving to Node #0,2,1
Current State: 44:[2, 35], Operations: ['91-14=77', '77-42=35']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,44 unequal: No Solution
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,44 unequal: No Solution
Moving to Node #0,2,4
Current State: 44:[42, 75], Operations: ['91-14=77', '77-2=75']
Exploring Operation: 75-42=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Exploring Operation: 42+75=117, Resulting Numbers: [117]
117,44 unequal: No Solution
Exploring Operation: 42*75=3150, Resulting Numbers: [3150]
3150,44 unequal: No Solution
Moving to Node #0,0,2
Current State: 44:[44, 77], Operations: ['42+2=44', '91-14=77']
Exploring Operation: 44*77=3388, Resulting Numbers: [3388]
3388,44 unequal: No Solution
Exploring Operation: 44+77=121, Resulting Numbers: [121]
121,44 unequal: No Solution
Exploring Operation: 77-44=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Moving to Node #0,2,3
Current State: 44:[77, 44], Operations: ['91-14=77', '42+2=44']
Exploring Operation: 77+44=121, Resulting Numbers: [121]
121,44 unequal: No Solution
Exploring Operation: 77*44=3388, Resulting Numbers: [3388]
3388,44 unequal: No Solution
Exploring Operation: 77-44=33, Resulting Numbers: [33]
33,44 unequal: No Solution
Moving to Node #0,2,0
Current State: 44:[77, 21], Operations: ['91-14=77', '42/2=21']
Exploring Operation: 77+21=98, Resulting Numbers: [98]
98,44 unequal: No Solution
Exploring Operation: 77-21=56, Resulting Numbers: [56]
56,44 unequal: No Solution
Exploring Operation: 77*21=1617, Resulting Numbers: [1617]
1617,44 unequal: No Solution
Moving to Node #0,2,2
Current State: 44:[77, 40], Operations: ['91-14=77', '42-2=40']
Exploring Operation: 77+40=117, Resulting Numbers: [117]
117,44 unequal: No Solution
Exploring Operation: 77-40=37, Resulting Numbers: [37]
37,44 unequal: No Solution
Exploring Operation: 77*40=3080, Resulting Numbers: [3080]
3080,44 unequal: No Solution
Moving to Node #0,3,3
Current State: 44:[2, 88], Operations: ['42/14=3', '91-3=88']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,44 unequal: No Solution
Exploring Operation: 2+88=90, Resulting Numbers: [90]
90,44 unequal: No Solution
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[42, 2, 91, 14], Operations: []
Exploring Operation: 42/14=3, Resulting Numbers: [2, 91, 3]
Generated Node #0,3: 44:[2, 91, 3] Operation: 42/14=3
Moving to Node #0,3
Current State: 44:[2, 91, 3], Operations: ['42/14=3']
Exploring Operation: 91-3=88, Resulting Numbers: [2, 88]
Generated Node #0,3,3: 44:[2, 88] Operation: 91-3=88
Moving to Node #0,3,3
Current State: 44:[2, 88], Operations: ['42/14=3', '91-3=88']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 0.922743 | hs_5 | mult_heuristic |
[
5,
50,
17,
3
] | 32 | [
"50-5=45",
"45/3=15",
"17+15=32"
] | Current State: 32:[5, 50, 17, 3], Operations: []
Exploring Operation: 50-5=45, Resulting Numbers: [17, 3, 45]
Generated Node #2: [17, 3, 45] from Operation: 50-5=45
Current State: 32:[17, 3, 45], Operations: ['50-5=45']
Exploring Operation: 45/3=15, Resulting Numbers: [17, 15]
Generated Node #3: [17, 15] from Operation: 45/3=15
Current State: 32:[17, 15], Operations: ['50-5=45', '45/3=15']
Exploring Operation: 17+15=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[5, 50, 17, 3], Operations: []
Exploring Operation: 50-17=33, Resulting Numbers: [5, 3, 33]
Generated Node #0,0: 32:[5, 3, 33] Operation: 50-17=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[5, 3, 33], Operations: ['50-17=33']
Exploring Operation: 5+3=8, Resulting Numbers: [33, 8]
Generated Node #0,0,0: 32:[33, 8] Operation: 5+3=8
Moving to Node #0,0,0
Current State: 32:[33, 8], Operations: ['50-17=33', '5+3=8']
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
42,
64,
26,
70
] | 62 | [
"42+64=106",
"70-26=44",
"106-44=62"
] | Current State: 62:[42, 64, 26, 70], Operations: []
Exploring Operation: 42+64=106, Resulting Numbers: [26, 70, 106]
Generated Node #2: [26, 70, 106] from Operation: 42+64=106
Current State: 62:[26, 70, 106], Operations: ['42+64=106']
Exploring Operation: 70-26=44, Resulting Numbers: [106, 44]
Generated Node #3: [106, 44] from Operation: 70-26=44
Current State: 62:[106, 44], Operations: ['42+64=106', '70-26=44']
Exploring Operation: 106-44=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[42, 64, 26, 70], Operations: []
Exploring Operation: 64-42=22, Resulting Numbers: [26, 70, 22]
Generated Node #0,0: 62:[26, 70, 22] Operation: 64-42=22
Exploring Operation: 42+26=68, Resulting Numbers: [64, 70, 68]
Generated Node #0,1: 62:[64, 70, 68] Operation: 42+26=68
Exploring Operation: 70-42=28, Resulting Numbers: [64, 26, 28]
Generated Node #0,2: 62:[64, 26, 28] Operation: 70-42=28
Exploring Operation: 42-26=16, Resulting Numbers: [64, 70, 16]
Generated Node #0,3: 62:[64, 70, 16] Operation: 42-26=16
Exploring Operation: 70-64=6, Resulting Numbers: [42, 26, 6]
Generated Node #0,4: 62:[42, 26, 6] Operation: 70-64=6
Moving to Node #0,2
Current State: 62:[64, 26, 28], Operations: ['70-42=28']
Exploring Operation: 28-26=2, Resulting Numbers: [64, 2]
Generated Node #0,2,0: 62:[64, 2] Operation: 28-26=2
Exploring Operation: 64-26=38, Resulting Numbers: [28, 38]
Generated Node #0,2,1: 62:[28, 38] Operation: 64-26=38
Exploring Operation: 64-28=36, Resulting Numbers: [26, 36]
Generated Node #0,2,2: 62:[26, 36] Operation: 64-28=36
Exploring Operation: 64+26=90, Resulting Numbers: [28, 90]
Generated Node #0,2,3: 62:[28, 90] Operation: 64+26=90
Exploring Operation: 26+28=54, Resulting Numbers: [64, 54]
Generated Node #0,2,4: 62:[64, 54] Operation: 26+28=54
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 62:[64, 2], Operations: ['70-42=28', '28-26=2']
Exploring Operation: 64*2=128, Resulting Numbers: [128]
128,62 unequal: No Solution
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,62 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[42, 64, 26, 70], Operations: []
Exploring Operation: 70-42=28, Resulting Numbers: [64, 26, 28]
Generated Node #0,2: 62:[64, 26, 28] Operation: 70-42=28
Moving to Node #0,2
Current State: 62:[64, 26, 28], Operations: ['70-42=28']
Exploring Operation: 28-26=2, Resulting Numbers: [64, 2]
Generated Node #0,2,0: 62:[64, 2] Operation: 28-26=2
Moving to Node #0,2,0
Current State: 62:[64, 2], Operations: ['70-42=28', '28-26=2']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
48,
29,
32,
30
] | 53 | [
"32-30=2",
"48/2=24",
"29+24=53"
] | Current State: 53:[48, 29, 32, 30], Operations: []
Exploring Operation: 32-30=2, Resulting Numbers: [48, 29, 2]
Generated Node #2: [48, 29, 2] from Operation: 32-30=2
Current State: 53:[48, 29, 2], Operations: ['32-30=2']
Exploring Operation: 48/2=24, Resulting Numbers: [29, 24]
Generated Node #3: [29, 24] from Operation: 48/2=24
Current State: 53:[29, 24], Operations: ['32-30=2', '48/2=24']
Exploring Operation: 29+24=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[48, 29, 32, 30], Operations: []
Exploring Operation: 48+30=78, Resulting Numbers: [29, 32, 78]
Generated Node #0,0: 53:[29, 32, 78] Operation: 48+30=78
Exploring Operation: 29+30=59, Resulting Numbers: [48, 32, 59]
Generated Node #0,1: 53:[48, 32, 59] Operation: 29+30=59
Exploring Operation: 48+29=77, Resulting Numbers: [32, 30, 77]
Generated Node #0,2: 53:[32, 30, 77] Operation: 48+29=77
Exploring Operation: 29+32=61, Resulting Numbers: [48, 30, 61]
Generated Node #0,3: 53:[48, 30, 61] Operation: 29+32=61
Exploring Operation: 32+30=62, Resulting Numbers: [48, 29, 62]
Generated Node #0,4: 53:[48, 29, 62] Operation: 32+30=62
Moving to Node #0,1
Current State: 53:[48, 32, 59], Operations: ['29+30=59']
Exploring Operation: 48+32=80, Resulting Numbers: [59, 80]
Generated Node #0,1,0: 53:[59, 80] Operation: 48+32=80
Exploring Operation: 59-32=27, Resulting Numbers: [48, 27]
Generated Node #0,1,1: 53:[48, 27] Operation: 59-32=27
Exploring Operation: 32+59=91, Resulting Numbers: [48, 91]
Generated Node #0,1,2: 53:[48, 91] Operation: 32+59=91
Exploring Operation: 48-32=16, Resulting Numbers: [59, 16]
Generated Node #0,1,3: 53:[59, 16] Operation: 48-32=16
Exploring Operation: 59-48=11, Resulting Numbers: [32, 11]
Generated Node #0,1,4: 53:[32, 11] Operation: 59-48=11
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 53:[48, 27], Operations: ['29+30=59', '59-32=27']
Exploring Operation: 48+27=75, Resulting Numbers: [75]
75,53 unequal: No Solution
Exploring Operation: 48*27=1296, Resulting Numbers: [1296]
1296,53 unequal: No Solution
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 53:[59, 80], Operations: ['29+30=59', '48+32=80']
Exploring Operation: 59*80=4720, Resulting Numbers: [4720]
4720,53 unequal: No Solution
Exploring Operation: 59+80=139, Resulting Numbers: [139]
139,53 unequal: No Solution
Exploring Operation: 80-59=21, Resulting Numbers: [21]
21,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 53:[48, 91], Operations: ['29+30=59', '32+59=91']
Exploring Operation: 48+91=139, Resulting Numbers: [139]
139,53 unequal: No Solution
Exploring Operation: 91-48=43, Resulting Numbers: [43]
43,53 unequal: No Solution
Exploring Operation: 48*91=4368, Resulting Numbers: [4368]
4368,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 53:[59, 16], Operations: ['29+30=59', '48-32=16']
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,53 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,53 unequal: No Solution
Exploring Operation: 59*16=944, Resulting Numbers: [944]
944,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 53:[32, 11], Operations: ['29+30=59', '59-48=11']
Exploring Operation: 32+11=43, Resulting Numbers: [43]
43,53 unequal: No Solution
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 32*11=352, Resulting Numbers: [352]
352,53 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: 53:[48, 30, 61], Operations: ['29+32=61']
Exploring Operation: 30+61=91, Resulting Numbers: [48, 91]
Generated Node #0,3,0: 53:[48, 91] Operation: 30+61=91
Exploring Operation: 61-30=31, Resulting Numbers: [48, 31]
Generated Node #0,3,1: 53:[48, 31] Operation: 61-30=31
Exploring Operation: 61-48=13, Resulting Numbers: [30, 13]
Generated Node #0,3,2: 53:[30, 13] Operation: 61-48=13
Exploring Operation: 48-30=18, Resulting Numbers: [61, 18]
Generated Node #0,3,3: 53:[61, 18] Operation: 48-30=18
Exploring Operation: 48+30=78, Resulting Numbers: [61, 78]
Generated Node #0,3,4: 53:[61, 78] Operation: 48+30=78
Moving to Node #0,4
Current State: 53:[48, 29, 62], Operations: ['32+30=62']
Exploring Operation: 48+29=77, Resulting Numbers: [62, 77]
Generated Node #0,4,0: 53:[62, 77] Operation: 48+29=77
Exploring Operation: 48-29=19, Resulting Numbers: [62, 19]
Generated Node #0,4,1: 53:[62, 19] Operation: 48-29=19
Exploring Operation: 62-48=14, Resulting Numbers: [29, 14]
Generated Node #0,4,2: 53:[29, 14] Operation: 62-48=14
Exploring Operation: 29+62=91, Resulting Numbers: [48, 91]
Generated Node #0,4,3: 53:[48, 91] Operation: 29+62=91
Exploring Operation: 62-29=33, Resulting Numbers: [48, 33]
Generated Node #0,4,4: 53:[48, 33] Operation: 62-29=33
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 53:[48, 33], Operations: ['32+30=62', '62-29=33']
Exploring Operation: 48*33=1584, Resulting Numbers: [1584]
1584,53 unequal: No Solution
Exploring Operation: 48+33=81, Resulting Numbers: [81]
81,53 unequal: No Solution
Exploring Operation: 48-33=15, Resulting Numbers: [15]
15,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 53:[62, 77], Operations: ['32+30=62', '48+29=77']
Exploring Operation: 62*77=4774, Resulting Numbers: [4774]
4774,53 unequal: No Solution
Exploring Operation: 77-62=15, Resulting Numbers: [15]
15,53 unequal: No Solution
Exploring Operation: 62+77=139, Resulting Numbers: [139]
139,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 53:[62, 19], Operations: ['32+30=62', '48-29=19']
Exploring Operation: 62+19=81, Resulting Numbers: [81]
81,53 unequal: No Solution
Exploring Operation: 62*19=1178, Resulting Numbers: [1178]
1178,53 unequal: No Solution
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 53:[48, 91], Operations: ['32+30=62', '29+62=91']
Exploring Operation: 91-48=43, Resulting Numbers: [43]
43,53 unequal: No Solution
Exploring Operation: 48*91=4368, Resulting Numbers: [4368]
4368,53 unequal: No Solution
Exploring Operation: 48+91=139, Resulting Numbers: [139]
139,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 53:[29, 14], Operations: ['32+30=62', '62-48=14']
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,53 unequal: No Solution
Exploring Operation: 29*14=406, Resulting Numbers: [406]
406,53 unequal: No Solution
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 53:[32, 30, 77], Operations: ['48+29=77']
Exploring Operation: 30+77=107, Resulting Numbers: [32, 107]
Generated Node #0,2,0: 53:[32, 107] Operation: 30+77=107
Exploring Operation: 32-30=2, Resulting Numbers: [77, 2]
Generated Node #0,2,1: 53:[77, 2] Operation: 32-30=2
Exploring Operation: 77-32=45, Resulting Numbers: [30, 45]
Generated Node #0,2,2: 53:[30, 45] Operation: 77-32=45
Exploring Operation: 32+30=62, Resulting Numbers: [77, 62]
Generated Node #0,2,3: 53:[77, 62] Operation: 32+30=62
Exploring Operation: 77-30=47, Resulting Numbers: [32, 47]
Generated Node #0,2,4: 53:[32, 47] Operation: 77-30=47
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 53:[32, 47], Operations: ['48+29=77', '77-30=47']
Exploring Operation: 32+47=79, Resulting Numbers: [79]
79,53 unequal: No Solution
Exploring Operation: 47-32=15, Resulting Numbers: [15]
15,53 unequal: No Solution
Exploring Operation: 32*47=1504, Resulting Numbers: [1504]
1504,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 53:[30, 45], Operations: ['48+29=77', '77-32=45']
Exploring Operation: 30+45=75, Resulting Numbers: [75]
75,53 unequal: No Solution
Exploring Operation: 30*45=1350, Resulting Numbers: [1350]
1350,53 unequal: No Solution
Exploring Operation: 45-30=15, Resulting Numbers: [15]
15,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 53:[77, 62], Operations: ['48+29=77', '32+30=62']
Exploring Operation: 77+62=139, Resulting Numbers: [139]
139,53 unequal: No Solution
Exploring Operation: 77-62=15, Resulting Numbers: [15]
15,53 unequal: No Solution
Exploring Operation: 77*62=4774, Resulting Numbers: [4774]
4774,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 53:[32, 107], Operations: ['48+29=77', '30+77=107']
Exploring Operation: 32*107=3424, Resulting Numbers: [3424]
3424,53 unequal: No Solution
Exploring Operation: 32+107=139, Resulting Numbers: [139]
139,53 unequal: No Solution
Exploring Operation: 107-32=75, Resulting Numbers: [75]
75,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 53:[77, 2], Operations: ['48+29=77', '32-30=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,53 unequal: No Solution
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,53 unequal: No Solution
Exploring Operation: 77*2=154, Resulting Numbers: [154]
154,53 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: 53:[29, 32, 78], Operations: ['48+30=78']
Exploring Operation: 78-29=49, Resulting Numbers: [32, 49]
Generated Node #0,0,0: 53:[32, 49] Operation: 78-29=49
Exploring Operation: 78-32=46, Resulting Numbers: [29, 46]
Generated Node #0,0,1: 53:[29, 46] Operation: 78-32=46
Exploring Operation: 29+32=61, Resulting Numbers: [78, 61]
Generated Node #0,0,2: 53:[78, 61] Operation: 29+32=61
Exploring Operation: 29+78=107, Resulting Numbers: [32, 107]
Generated Node #0,0,3: 53:[32, 107] Operation: 29+78=107
Exploring Operation: 32-29=3, Resulting Numbers: [78, 3]
Generated Node #0,0,4: 53:[78, 3] Operation: 32-29=3
Moving to Node #0,0,0
Current State: 53:[32, 49], Operations: ['48+30=78', '78-29=49']
Exploring Operation: 32*49=1568, Resulting Numbers: [1568]
1568,53 unequal: No Solution
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,53 unequal: No Solution
Exploring Operation: 32+49=81, Resulting Numbers: [81]
81,53 unequal: No Solution
Moving to Node #0,3,1
Current State: 53:[48, 31], Operations: ['29+32=61', '61-30=31']
Exploring Operation: 48*31=1488, Resulting Numbers: [1488]
1488,53 unequal: No Solution
Exploring Operation: 48-31=17, Resulting Numbers: [17]
17,53 unequal: No Solution
Exploring Operation: 48+31=79, Resulting Numbers: [79]
79,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[29, 46], Operations: ['48+30=78', '78-32=46']
Exploring Operation: 46-29=17, Resulting Numbers: [17]
17,53 unequal: No Solution
Exploring Operation: 29*46=1334, Resulting Numbers: [1334]
1334,53 unequal: No Solution
Exploring Operation: 29+46=75, Resulting Numbers: [75]
75,53 unequal: No Solution
Moving to Node #0,3,4
Current State: 53:[61, 78], Operations: ['29+32=61', '48+30=78']
Exploring Operation: 78-61=17, Resulting Numbers: [17]
17,53 unequal: No Solution
Exploring Operation: 61+78=139, Resulting Numbers: [139]
139,53 unequal: No Solution
Exploring Operation: 61*78=4758, Resulting Numbers: [4758]
4758,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[78, 61], Operations: ['48+30=78', '29+32=61']
Exploring Operation: 78*61=4758, Resulting Numbers: [4758]
4758,53 unequal: No Solution
Exploring Operation: 78+61=139, Resulting Numbers: [139]
139,53 unequal: No Solution
Exploring Operation: 78-61=17, Resulting Numbers: [17]
17,53 unequal: No Solution
Moving to Node #0,3,0
Current State: 53:[48, 91], Operations: ['29+32=61', '30+61=91']
Exploring Operation: 48*91=4368, Resulting Numbers: [4368]
4368,53 unequal: No Solution
Exploring Operation: 48+91=139, Resulting Numbers: [139]
139,53 unequal: No Solution
Exploring Operation: 91-48=43, Resulting Numbers: [43]
43,53 unequal: No Solution
Moving to Node #0,3,3
Current State: 53:[61, 18], Operations: ['29+32=61', '48-30=18']
Exploring Operation: 61-18=43, Resulting Numbers: [43]
43,53 unequal: No Solution
Exploring Operation: 61+18=79, Resulting Numbers: [79]
79,53 unequal: No Solution
Exploring Operation: 61*18=1098, Resulting Numbers: [1098]
1098,53 unequal: No Solution
Moving to Node #0,3,2
Current State: 53:[30, 13], Operations: ['29+32=61', '61-48=13']
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,53 unequal: No Solution
Exploring Operation: 30*13=390, Resulting Numbers: [390]
390,53 unequal: No Solution
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,53 unequal: No Solution
Moving to Node #0,0,4
Current State: 53:[78, 3], Operations: ['48+30=78', '32-29=3']
Exploring Operation: 78*3=234, Resulting Numbers: [234]
234,53 unequal: No Solution
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,53 unequal: No Solution
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,53 unequal: No Solution
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,53 unequal: No Solution
Moving to Node #0,0,3
Current State: 53:[32, 107], Operations: ['48+30=78', '29+78=107']
Exploring Operation: 107-32=75, Resulting Numbers: [75]
75,53 unequal: No Solution
Exploring Operation: 32*107=3424, Resulting Numbers: [3424]
3424,53 unequal: No Solution
Exploring Operation: 32+107=139, Resulting Numbers: [139]
139,53 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
18,
51,
21,
60
] | 19 | [
"60-51=9",
"18/9=2",
"21-2=19"
] | Current State: 19:[18, 51, 21, 60], Operations: []
Exploring Operation: 60-51=9, Resulting Numbers: [18, 21, 9]
Generated Node #2: [18, 21, 9] from Operation: 60-51=9
Current State: 19:[18, 21, 9], Operations: ['60-51=9']
Exploring Operation: 18/9=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 18/9=2
Current State: 19:[21, 2], Operations: ['60-51=9', '18/9=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[18, 51, 21, 60], Operations: []
Exploring Operation: 51-21=30, Resulting Numbers: [18, 60, 30]
Generated Node #0,0: 19:[18, 60, 30] Operation: 51-21=30
Exploring Operation: 60-51=9, Resulting Numbers: [18, 21, 9]
Generated Node #0,1: 19:[18, 21, 9] Operation: 60-51=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[18, 21, 9], Operations: ['60-51=9']
Exploring Operation: 18+9=27, Resulting Numbers: [21, 27]
Generated Node #0,1,0: 19:[21, 27] Operation: 18+9=27
Exploring Operation: 21-9=12, Resulting Numbers: [18, 12]
Generated Node #0,1,1: 19:[18, 12] Operation: 21-9=12
Moving to Node #0,1,1
Current State: 19:[18, 12], Operations: ['60-51=9', '21-9=12']
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 18+12=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Moving to Node #0,1,0
Current State: 19:[21, 27], Operations: ['60-51=9', '18+9=27']
Exploring Operation: 21+27=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 27-21=6, Resulting Numbers: [6]
6,19 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
Current State: 19:[18, 60, 30], Operations: ['51-21=30']
Exploring Operation: 60/30=2, Resulting Numbers: [18, 2]
Generated Node #0,0,0: 19:[18, 2] Operation: 60/30=2
Exploring Operation: 60-30=30, Resulting Numbers: [18, 30]
Generated Node #0,0,1: 19:[18, 30] Operation: 60-30=30
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 19:[18, 30], Operations: ['51-21=30', '60-30=30']
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[18, 2], Operations: ['51-21=30', '60/30=2']
Exploring Operation: 18+2=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
3,
14,
34,
28
] | 92 | [
"14+28=42",
"3*42=126",
"126-34=92"
] | Current State: 92:[3, 14, 34, 28], Operations: []
Exploring Operation: 14+28=42, Resulting Numbers: [3, 34, 42]
Generated Node #2: [3, 34, 42] from Operation: 14+28=42
Current State: 92:[3, 34, 42], Operations: ['14+28=42']
Exploring Operation: 3*42=126, Resulting Numbers: [34, 126]
Generated Node #3: [34, 126] from Operation: 3*42=126
Current State: 92:[34, 126], Operations: ['14+28=42', '3*42=126']
Exploring Operation: 126-34=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[3, 14, 34, 28], Operations: []
Exploring Operation: 14+34=48, Resulting Numbers: [3, 28, 48]
Generated Node #0,0: 92:[3, 28, 48] Operation: 14+34=48
Moving to Node #0,0
Current State: 92:[3, 28, 48], Operations: ['14+34=48']
Exploring Operation: 28-3=25, Resulting Numbers: [48, 25]
Generated Node #0,0,0: 92:[48, 25] Operation: 28-3=25
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 92:[48, 25], Operations: ['14+34=48', '28-3=25']
Exploring Operation: 48-25=23, Resulting Numbers: [23]
23,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
37,
52,
14,
36
] | 67 | [
"37+52=89",
"36-14=22",
"89-22=67"
] | Current State: 67:[37, 52, 14, 36], Operations: []
Exploring Operation: 37+52=89, Resulting Numbers: [14, 36, 89]
Generated Node #2: [14, 36, 89] from Operation: 37+52=89
Current State: 67:[14, 36, 89], Operations: ['37+52=89']
Exploring Operation: 36-14=22, Resulting Numbers: [89, 22]
Generated Node #3: [89, 22] from Operation: 36-14=22
Current State: 67:[89, 22], Operations: ['37+52=89', '36-14=22']
Exploring Operation: 89-22=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[37, 52, 14, 36], Operations: []
Exploring Operation: 14+36=50, Resulting Numbers: [37, 52, 50]
Generated Node #0,0: 67:[37, 52, 50] Operation: 14+36=50
Exploring Operation: 37+14=51, Resulting Numbers: [52, 36, 51]
Generated Node #0,1: 67:[52, 36, 51] Operation: 37+14=51
Exploring Operation: 52+14=66, Resulting Numbers: [37, 36, 66]
Generated Node #0,2: 67:[37, 36, 66] Operation: 52+14=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[37, 52, 50], Operations: ['14+36=50']
Exploring Operation: 52+50=102, Resulting Numbers: [37, 102]
Generated Node #0,0,0: 67:[37, 102] Operation: 52+50=102
Exploring Operation: 37+52=89, Resulting Numbers: [50, 89]
Generated Node #0,0,1: 67:[50, 89] Operation: 37+52=89
Exploring Operation: 37+50=87, Resulting Numbers: [52, 87]
Generated Node #0,0,2: 67:[52, 87] Operation: 37+50=87
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 67:[52, 87], Operations: ['14+36=50', '37+50=87']
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,67 unequal: No Solution
Exploring Operation: 52*87=4524, Resulting Numbers: [4524]
4524,67 unequal: No Solution
Exploring Operation: 52+87=139, Resulting Numbers: [139]
139,67 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 #0,0,1
Current State: 67:[50, 89], Operations: ['14+36=50', '37+52=89']
Exploring Operation: 50*89=4450, Resulting Numbers: [4450]
4450,67 unequal: No Solution
Exploring Operation: 89-50=39, Resulting Numbers: [39]
39,67 unequal: No Solution
Exploring Operation: 50+89=139, Resulting Numbers: [139]
139,67 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 #0,0,0
Current State: 67:[37, 102], Operations: ['14+36=50', '52+50=102']
Exploring Operation: 102-37=65, Resulting Numbers: [65]
65,67 unequal: No Solution
Exploring Operation: 37+102=139, Resulting Numbers: [139]
139,67 unequal: No Solution
Exploring Operation: 37*102=3774, Resulting Numbers: [3774]
3774,67 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:[52, 36, 51], Operations: ['37+14=51']
Exploring Operation: 52+36=88, Resulting Numbers: [51, 88]
Generated Node #0,1,0: 67:[51, 88] Operation: 52+36=88
Exploring Operation: 36+51=87, Resulting Numbers: [52, 87]
Generated Node #0,1,1: 67:[52, 87] Operation: 36+51=87
Exploring Operation: 52-36=16, Resulting Numbers: [51, 16]
Generated Node #0,1,2: 67:[51, 16] Operation: 52-36=16
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 67:[52, 87], Operations: ['37+14=51', '36+51=87']
Exploring Operation: 52+87=139, Resulting Numbers: [139]
139,67 unequal: No Solution
Exploring Operation: 87-52=35, Resulting Numbers: [35]
35,67 unequal: No Solution
Exploring Operation: 52*87=4524, Resulting Numbers: [4524]
4524,67 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:[51, 88], Operations: ['37+14=51', '52+36=88']
Exploring Operation: 51*88=4488, Resulting Numbers: [4488]
4488,67 unequal: No Solution
Exploring Operation: 51+88=139, Resulting Numbers: [139]
139,67 unequal: No Solution
Exploring Operation: 88-51=37, Resulting Numbers: [37]
37,67 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:[51, 16], Operations: ['37+14=51', '52-36=16']
Exploring Operation: 51*16=816, Resulting Numbers: [816]
816,67 unequal: No Solution
Exploring Operation: 51+16=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[37, 52, 14, 36], Operations: []
Exploring Operation: 37+14=51, Resulting Numbers: [52, 36, 51]
Generated Node #0,1: 67:[52, 36, 51] Operation: 37+14=51
Moving to Node #0,1
Current State: 67:[52, 36, 51], Operations: ['37+14=51']
Exploring Operation: 52-36=16, Resulting Numbers: [51, 16]
Generated Node #0,1,2: 67:[51, 16] Operation: 52-36=16
Moving to Node #0,1,2
Current State: 67:[51, 16], Operations: ['37+14=51', '52-36=16']
Exploring Operation: 51+16=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.973958 | hs_3 | mult_heuristic |
[
78,
80,
62,
24
] | 36 | [
"80-78=2",
"62-24=38",
"38-2=36"
] | Current State: 36:[78, 80, 62, 24], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [62, 24, 2]
Generated Node #2: [62, 24, 2] from Operation: 80-78=2
Current State: 36:[62, 24, 2], Operations: ['80-78=2']
Exploring Operation: 62-24=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 62-24=38
Current State: 36:[2, 38], Operations: ['80-78=2', '62-24=38']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[78, 80, 62, 24], Operations: []
Exploring Operation: 78-62=16, Resulting Numbers: [80, 24, 16]
Generated Node #0,0: 36:[80, 24, 16] Operation: 78-62=16
Exploring Operation: 80-78=2, Resulting Numbers: [62, 24, 2]
Generated Node #0,1: 36:[62, 24, 2] Operation: 80-78=2
Exploring Operation: 80-62=18, Resulting Numbers: [78, 24, 18]
Generated Node #0,2: 36:[78, 24, 18] Operation: 80-62=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[62, 24, 2], Operations: ['80-78=2']
Exploring Operation: 62-24=38, Resulting Numbers: [2, 38]
Generated Node #0,1,0: 36:[2, 38] Operation: 62-24=38
Exploring Operation: 62/2=31, Resulting Numbers: [24, 31]
Generated Node #0,1,1: 36:[24, 31] Operation: 62/2=31
Exploring Operation: 24/2=12, Resulting Numbers: [62, 12]
Generated Node #0,1,2: 36:[62, 12] Operation: 24/2=12
Moving to Node #0,1,0
Current State: 36:[2, 38], Operations: ['80-78=2', '62-24=38']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,36 unequal: No Solution
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[78, 80, 62, 24], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [62, 24, 2]
Generated Node #0,1: 36:[62, 24, 2] Operation: 80-78=2
Moving to Node #0,1
Current State: 36:[62, 24, 2], Operations: ['80-78=2']
Exploring Operation: 62-24=38, Resulting Numbers: [2, 38]
Generated Node #0,1,0: 36:[2, 38] Operation: 62-24=38
Moving to Node #0,1,0
Current State: 36:[2, 38], Operations: ['80-78=2', '62-24=38']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
30,
53,
7,
95
] | 19 | [
"30+53=83",
"7+95=102",
"102-83=19"
] | Current State: 19:[30, 53, 7, 95], Operations: []
Exploring Operation: 30+53=83, Resulting Numbers: [7, 95, 83]
Generated Node #2: [7, 95, 83] from Operation: 30+53=83
Current State: 19:[7, 95, 83], Operations: ['30+53=83']
Exploring Operation: 7+95=102, Resulting Numbers: [83, 102]
Generated Node #3: [83, 102] from Operation: 7+95=102
Current State: 19:[83, 102], Operations: ['30+53=83', '7+95=102']
Exploring Operation: 102-83=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[30, 53, 7, 95], Operations: []
Exploring Operation: 53-30=23, Resulting Numbers: [7, 95, 23]
Generated Node #0,0: 19:[7, 95, 23] Operation: 53-30=23
Exploring Operation: 95-53=42, Resulting Numbers: [30, 7, 42]
Generated Node #0,1: 19:[30, 7, 42] Operation: 95-53=42
Moving to Node #0,1
Current State: 19:[30, 7, 42], Operations: ['95-53=42']
Exploring Operation: 42-30=12, Resulting Numbers: [7, 12]
Generated Node #0,1,0: 19:[7, 12] Operation: 42-30=12
Exploring Operation: 42/7=6, Resulting Numbers: [30, 6]
Generated Node #0,1,1: 19:[30, 6] Operation: 42/7=6
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 19:[7, 12], Operations: ['95-53=42', '42-30=12']
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[30, 53, 7, 95], Operations: []
Exploring Operation: 95-53=42, Resulting Numbers: [30, 7, 42]
Generated Node #0,1: 19:[30, 7, 42] Operation: 95-53=42
Moving to Node #0,1
Current State: 19:[30, 7, 42], Operations: ['95-53=42']
Exploring Operation: 42-30=12, Resulting Numbers: [7, 12]
Generated Node #0,1,0: 19:[7, 12] Operation: 42-30=12
Moving to Node #0,1,0
Current State: 19:[7, 12], Operations: ['95-53=42', '42-30=12']
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
56,
4,
77,
50
] | 67 | [
"56+4=60",
"77+50=127",
"127-60=67"
] | Current State: 67:[56, 4, 77, 50], Operations: []
Exploring Operation: 56+4=60, Resulting Numbers: [77, 50, 60]
Generated Node #2: [77, 50, 60] from Operation: 56+4=60
Current State: 67:[77, 50, 60], Operations: ['56+4=60']
Exploring Operation: 77+50=127, Resulting Numbers: [60, 127]
Generated Node #3: [60, 127] from Operation: 77+50=127
Current State: 67:[60, 127], Operations: ['56+4=60', '77+50=127']
Exploring Operation: 127-60=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[56, 4, 77, 50], Operations: []
Exploring Operation: 4+50=54, Resulting Numbers: [56, 77, 54]
Generated Node #0,0: 67:[56, 77, 54] Operation: 4+50=54
Exploring Operation: 77-4=73, Resulting Numbers: [56, 50, 73]
Generated Node #0,1: 67:[56, 50, 73] Operation: 77-4=73
Exploring Operation: 56+4=60, Resulting Numbers: [77, 50, 60]
Generated Node #0,2: 67:[77, 50, 60] Operation: 56+4=60
Moving to Node #0,0
Current State: 67:[56, 77, 54], Operations: ['4+50=54']
Exploring Operation: 77-56=21, Resulting Numbers: [54, 21]
Generated Node #0,0,0: 67:[54, 21] Operation: 77-56=21
Exploring Operation: 56+54=110, Resulting Numbers: [77, 110]
Generated Node #0,0,1: 67:[77, 110] Operation: 56+54=110
Exploring Operation: 77-54=23, Resulting Numbers: [56, 23]
Generated Node #0,0,2: 67:[56, 23] Operation: 77-54=23
Moving to Node #0,1
Current State: 67:[56, 50, 73], Operations: ['77-4=73']
Exploring Operation: 56+50=106, Resulting Numbers: [73, 106]
Generated Node #0,1,0: 67:[73, 106] Operation: 56+50=106
Exploring Operation: 73-50=23, Resulting Numbers: [56, 23]
Generated Node #0,1,1: 67:[56, 23] Operation: 73-50=23
Exploring Operation: 56-50=6, Resulting Numbers: [73, 6]
Generated Node #0,1,2: 67:[73, 6] Operation: 56-50=6
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 67:[73, 106], Operations: ['77-4=73', '56+50=106']
Exploring Operation: 106-73=33, Resulting Numbers: [33]
33,67 unequal: No Solution
Exploring Operation: 73*106=7738, Resulting Numbers: [7738]
7738,67 unequal: No Solution
Exploring Operation: 73+106=179, Resulting Numbers: [179]
179,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 67:[56, 23], Operations: ['77-4=73', '73-50=23']
Exploring Operation: 56-23=33, Resulting Numbers: [33]
33,67 unequal: No Solution
Exploring Operation: 56+23=79, Resulting Numbers: [79]
79,67 unequal: No Solution
Exploring Operation: 56*23=1288, Resulting Numbers: [1288]
1288,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 67:[73, 6], Operations: ['77-4=73', '56-50=6']
Exploring Operation: 73*6=438, Resulting Numbers: [438]
438,67 unequal: No Solution
Exploring Operation: 73+6=79, Resulting Numbers: [79]
79,67 unequal: No Solution
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[56, 4, 77, 50], Operations: []
Exploring Operation: 77-4=73, Resulting Numbers: [56, 50, 73]
Generated Node #0,1: 67:[56, 50, 73] Operation: 77-4=73
Moving to Node #0,1
Current State: 67:[56, 50, 73], Operations: ['77-4=73']
Exploring Operation: 56-50=6, Resulting Numbers: [73, 6]
Generated Node #0,1,2: 67:[73, 6] Operation: 56-50=6
Moving to Node #0,1,2
Current State: 67:[73, 6], Operations: ['77-4=73', '56-50=6']
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_3 | mult_heuristic |
[
43,
75,
50,
48
] | 11 | [
"50*48=2400",
"2400/75=32",
"43-32=11"
] | Current State: 11:[43, 75, 50, 48], Operations: []
Exploring Operation: 50*48=2400, Resulting Numbers: [43, 75, 2400]
Generated Node #2: [43, 75, 2400] from Operation: 50*48=2400
Current State: 11:[43, 75, 2400], Operations: ['50*48=2400']
Exploring Operation: 2400/75=32, Resulting Numbers: [43, 32]
Generated Node #3: [43, 32] from Operation: 2400/75=32
Current State: 11:[43, 32], Operations: ['50*48=2400', '2400/75=32']
Exploring Operation: 43-32=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[43, 75, 50, 48], Operations: []
Exploring Operation: 75-43=32, Resulting Numbers: [50, 48, 32]
Generated Node #0,0: 11:[50, 48, 32] Operation: 75-43=32
Exploring Operation: 50-43=7, Resulting Numbers: [75, 48, 7]
Generated Node #0,1: 11:[75, 48, 7] Operation: 50-43=7
Exploring Operation: 75-48=27, Resulting Numbers: [43, 50, 27]
Generated Node #0,2: 11:[43, 50, 27] Operation: 75-48=27
Exploring Operation: 75-50=25, Resulting Numbers: [43, 48, 25]
Generated Node #0,3: 11:[43, 48, 25] Operation: 75-50=25
Moving to Node #0,3
Current State: 11:[43, 48, 25], Operations: ['75-50=25']
Exploring Operation: 43-25=18, Resulting Numbers: [48, 18]
Generated Node #0,3,0: 11:[48, 18] Operation: 43-25=18
Exploring Operation: 48-43=5, Resulting Numbers: [25, 5]
Generated Node #0,3,1: 11:[25, 5] Operation: 48-43=5
Exploring Operation: 48-25=23, Resulting Numbers: [43, 23]
Generated Node #0,3,2: 11:[43, 23] Operation: 48-25=23
Exploring Operation: 43+48=91, Resulting Numbers: [25, 91]
Generated Node #0,3,3: 11:[25, 91] Operation: 43+48=91
Moving to Node #0,2
Current State: 11:[43, 50, 27], Operations: ['75-48=27']
Exploring Operation: 50-27=23, Resulting Numbers: [43, 23]
Generated Node #0,2,0: 11:[43, 23] Operation: 50-27=23
Exploring Operation: 43+50=93, Resulting Numbers: [27, 93]
Generated Node #0,2,1: 11:[27, 93] Operation: 43+50=93
Exploring Operation: 50-43=7, Resulting Numbers: [27, 7]
Generated Node #0,2,2: 11:[27, 7] Operation: 50-43=7
Exploring Operation: 43-27=16, Resulting Numbers: [50, 16]
Generated Node #0,2,3: 11:[50, 16] Operation: 43-27=16
Moving to Node #0,0
Current State: 11:[50, 48, 32], Operations: ['75-43=32']
Exploring Operation: 50-32=18, Resulting Numbers: [48, 18]
Generated Node #0,0,0: 11:[48, 18] Operation: 50-32=18
Exploring Operation: 50+48=98, Resulting Numbers: [32, 98]
Generated Node #0,0,1: 11:[32, 98] Operation: 50+48=98
Exploring Operation: 50-48=2, Resulting Numbers: [32, 2]
Generated Node #0,0,2: 11:[32, 2] Operation: 50-48=2
Exploring Operation: 48-32=16, Resulting Numbers: [50, 16]
Generated Node #0,0,3: 11:[50, 16] Operation: 48-32=16
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 11:[32, 2], Operations: ['75-43=32', '50-48=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,11 unequal: No Solution
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,11 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,11 unequal: No Solution
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[48, 18], Operations: ['75-43=32', '50-32=18']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,11 unequal: No Solution
Exploring Operation: 48+18=66, Resulting Numbers: [66]
66,11 unequal: No Solution
Exploring Operation: 48*18=864, Resulting Numbers: [864]
864,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 11:[50, 16], Operations: ['75-43=32', '48-32=16']
Exploring Operation: 50-16=34, Resulting Numbers: [34]
34,11 unequal: No Solution
Exploring Operation: 50+16=66, Resulting Numbers: [66]
66,11 unequal: No Solution
Exploring Operation: 50*16=800, Resulting Numbers: [800]
800,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 11:[32, 98], Operations: ['75-43=32', '50+48=98']
Exploring Operation: 98-32=66, Resulting Numbers: [66]
66,11 unequal: No Solution
Exploring Operation: 32*98=3136, Resulting Numbers: [3136]
3136,11 unequal: No Solution
Exploring Operation: 32+98=130, Resulting Numbers: [130]
130,11 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: 11:[75, 48, 7], Operations: ['50-43=7']
Exploring Operation: 75-7=68, Resulting Numbers: [48, 68]
Generated Node #0,1,0: 11:[48, 68] Operation: 75-7=68
Exploring Operation: 75+7=82, Resulting Numbers: [48, 82]
Generated Node #0,1,1: 11:[48, 82] Operation: 75+7=82
Exploring Operation: 48-7=41, Resulting Numbers: [75, 41]
Generated Node #0,1,2: 11:[75, 41] Operation: 48-7=41
Exploring Operation: 75-48=27, Resulting Numbers: [7, 27]
Generated Node #0,1,3: 11:[7, 27] Operation: 75-48=27
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 11:[7, 27], Operations: ['50-43=7', '75-48=27']
Exploring Operation: 7+27=34, Resulting Numbers: [34]
34,11 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 7*27=189, Resulting Numbers: [189]
189,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 11:[48, 68], Operations: ['50-43=7', '75-7=68']
Exploring Operation: 48*68=3264, Resulting Numbers: [3264]
3264,11 unequal: No Solution
Exploring Operation: 48+68=116, Resulting Numbers: [116]
116,11 unequal: No Solution
Exploring Operation: 68-48=20, Resulting Numbers: [20]
20,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 11:[75, 41], Operations: ['50-43=7', '48-7=41']
Exploring Operation: 75+41=116, Resulting Numbers: [116]
116,11 unequal: No Solution
Exploring Operation: 75*41=3075, Resulting Numbers: [3075]
3075,11 unequal: No Solution
Exploring Operation: 75-41=34, Resulting Numbers: [34]
34,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 11:[48, 82], Operations: ['50-43=7', '75+7=82']
Exploring Operation: 48*82=3936, Resulting Numbers: [3936]
3936,11 unequal: No Solution
Exploring Operation: 48+82=130, Resulting Numbers: [130]
130,11 unequal: No Solution
Exploring Operation: 82-48=34, Resulting Numbers: [34]
34,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 11:[25, 5], Operations: ['75-50=25', '48-43=5']
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 25+5=30, Resulting Numbers: [30]
30,11 unequal: No Solution
Exploring Operation: 25*5=125, Resulting Numbers: [125]
125,11 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[27, 7], Operations: ['75-48=27', '50-43=7']
Exploring Operation: 27*7=189, Resulting Numbers: [189]
189,11 unequal: No Solution
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,11 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Moving to Node #0,3,2
Current State: 11:[43, 23], Operations: ['75-50=25', '48-25=23']
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 43*23=989, Resulting Numbers: [989]
989,11 unequal: No Solution
Exploring Operation: 43+23=66, Resulting Numbers: [66]
66,11 unequal: No Solution
Moving to Node #0,2,0
Current State: 11:[43, 23], Operations: ['75-48=27', '50-27=23']
Exploring Operation: 43+23=66, Resulting Numbers: [66]
66,11 unequal: No Solution
Exploring Operation: 43-23=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 43*23=989, Resulting Numbers: [989]
989,11 unequal: No Solution
Moving to Node #0,2,3
Current State: 11:[50, 16], Operations: ['75-48=27', '43-27=16']
Exploring Operation: 50*16=800, Resulting Numbers: [800]
800,11 unequal: No Solution
Exploring Operation: 50+16=66, Resulting Numbers: [66]
66,11 unequal: No Solution
Exploring Operation: 50-16=34, Resulting Numbers: [34]
34,11 unequal: No Solution
Moving to Node #0,3,0
Current State: 11:[48, 18], Operations: ['75-50=25', '43-25=18']
Exploring Operation: 48*18=864, Resulting Numbers: [864]
864,11 unequal: No Solution
Exploring Operation: 48+18=66, Resulting Numbers: [66]
66,11 unequal: No Solution
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,11 unequal: No Solution
Moving to Node #0,3,3
Current State: 11:[25, 91], Operations: ['75-50=25', '43+48=91']
Exploring Operation: 25+91=116, Resulting Numbers: [116]
116,11 unequal: No Solution
Exploring Operation: 25*91=2275, Resulting Numbers: [2275]
2275,11 unequal: No Solution
Exploring Operation: 91-25=66, Resulting Numbers: [66]
66,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[27, 93], Operations: ['75-48=27', '43+50=93']
Exploring Operation: 27+93=120, Resulting Numbers: [120]
120,11 unequal: No Solution
Exploring Operation: 93-27=66, Resulting Numbers: [66]
66,11 unequal: No Solution
Exploring Operation: 27*93=2511, Resulting Numbers: [2511]
2511,11 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
49,
16,
75,
33
] | 74 | [
"49-16=33",
"33/33=1",
"75-1=74"
] | Current State: 74:[49, 16, 75, 33], Operations: []
Exploring Operation: 49-16=33, Resulting Numbers: [75, 33, 33]
Generated Node #2: [75, 33, 33] from Operation: 49-16=33
Current State: 74:[75, 33, 33], Operations: ['49-16=33']
Exploring Operation: 33/33=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 33/33=1
Current State: 74:[75, 1], Operations: ['49-16=33', '33/33=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[49, 16, 75, 33], Operations: []
Exploring Operation: 49-16=33, Resulting Numbers: [75, 33, 33]
Generated Node #0,0: 74:[75, 33, 33] Operation: 49-16=33
Exploring Operation: 49+16=65, Resulting Numbers: [75, 33, 65]
Generated Node #0,1: 74:[75, 33, 65] Operation: 49+16=65
Exploring Operation: 49+33=82, Resulting Numbers: [16, 75, 82]
Generated Node #0,2: 74:[16, 75, 82] Operation: 49+33=82
Exploring Operation: 16+33=49, Resulting Numbers: [49, 75, 49]
Generated Node #0,3: 74:[49, 75, 49] Operation: 16+33=49
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[75, 33, 33], Operations: ['49-16=33']
Exploring Operation: 75-33=42, Resulting Numbers: [33, 42]
Generated Node #0,0,0: 74:[33, 42] Operation: 75-33=42
Exploring Operation: 75-33=42, Resulting Numbers: [33, 42]
Generated Node #0,0,1: 74:[33, 42] Operation: 75-33=42
Exploring Operation: 33-33=0, Resulting Numbers: [75, 0]
Generated Node #0,0,2: 74:[75, 0] Operation: 33-33=0
Exploring Operation: 33/33=1, Resulting Numbers: [75, 1]
Generated Node #0,0,3: 74:[75, 1] Operation: 33/33=1
Moving to Node #0,0,3
Current State: 74:[75, 1], Operations: ['49-16=33', '33/33=1']
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,74 unequal: No Solution
Exploring Operation: 75/1=75, Resulting Numbers: [75]
75,74 unequal: No Solution
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[49, 16, 75, 33], Operations: []
Exploring Operation: 49-16=33, Resulting Numbers: [75, 33, 33]
Generated Node #0,0: 74:[75, 33, 33] Operation: 49-16=33
Moving to Node #0,0
Current State: 74:[75, 33, 33], Operations: ['49-16=33']
Exploring Operation: 33/33=1, Resulting Numbers: [75, 1]
Generated Node #0,0,3: 74:[75, 1] Operation: 33/33=1
Moving to Node #0,0,3
Current State: 74:[75, 1], Operations: ['49-16=33', '33/33=1']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
48,
2,
23,
53
] | 35 | [
"48+23=71",
"2*53=106",
"106-71=35"
] | Current State: 35:[48, 2, 23, 53], Operations: []
Exploring Operation: 48+23=71, Resulting Numbers: [2, 53, 71]
Generated Node #2: [2, 53, 71] from Operation: 48+23=71
Current State: 35:[2, 53, 71], Operations: ['48+23=71']
Exploring Operation: 2*53=106, Resulting Numbers: [71, 106]
Generated Node #3: [71, 106] from Operation: 2*53=106
Current State: 35:[71, 106], Operations: ['48+23=71', '2*53=106']
Exploring Operation: 106-71=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[48, 2, 23, 53], Operations: []
Exploring Operation: 53-48=5, Resulting Numbers: [2, 23, 5]
Generated Node #0,0: 35:[2, 23, 5] Operation: 53-48=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[2, 23, 5], Operations: ['53-48=5']
Exploring Operation: 2+23=25, Resulting Numbers: [5, 25]
Generated Node #0,0,0: 35:[5, 25] Operation: 2+23=25
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 35:[5, 25], Operations: ['53-48=5', '2+23=25']
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
20,
16,
37,
17
] | 90 | [
"20+16=36",
"37+17=54",
"36+54=90"
] | Current State: 90:[20, 16, 37, 17], Operations: []
Exploring Operation: 20+16=36, Resulting Numbers: [37, 17, 36]
Generated Node #2: [37, 17, 36] from Operation: 20+16=36
Current State: 90:[37, 17, 36], Operations: ['20+16=36']
Exploring Operation: 37+17=54, Resulting Numbers: [36, 54]
Generated Node #3: [36, 54] from Operation: 37+17=54
Current State: 90:[36, 54], Operations: ['20+16=36', '37+17=54']
Exploring Operation: 36+54=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[20, 16, 37, 17], Operations: []
Exploring Operation: 37-16=21, Resulting Numbers: [20, 17, 21]
Generated Node #0,0: 90:[20, 17, 21] Operation: 37-16=21
Exploring Operation: 37-20=17, Resulting Numbers: [16, 17, 17]
Generated Node #0,1: 90:[16, 17, 17] Operation: 37-20=17
Exploring Operation: 37-17=20, Resulting Numbers: [20, 16, 20]
Generated Node #0,2: 90:[20, 16, 20] Operation: 37-17=20
Exploring Operation: 20-17=3, Resulting Numbers: [16, 37, 3]
Generated Node #0,3: 90:[16, 37, 3] Operation: 20-17=3
Moving to Node #0,1
Current State: 90:[16, 17, 17], Operations: ['37-20=17']
Exploring Operation: 17-16=1, Resulting Numbers: [17, 1]
Generated Node #0,1,0: 90:[17, 1] Operation: 17-16=1
Exploring Operation: 17-17=0, Resulting Numbers: [16, 0]
Generated Node #0,1,1: 90:[16, 0] Operation: 17-17=0
Exploring Operation: 17/17=1, Resulting Numbers: [16, 1]
Generated Node #0,1,2: 90:[16, 1] Operation: 17/17=1
Exploring Operation: 17-16=1, Resulting Numbers: [17, 1]
Generated Node #0,1,3: 90:[17, 1] Operation: 17-16=1
Moving to Node #0,2
Current State: 90:[20, 16, 20], Operations: ['37-17=20']
Exploring Operation: 20-16=4, Resulting Numbers: [20, 4]
Generated Node #0,2,0: 90:[20, 4] Operation: 20-16=4
Exploring Operation: 20/20=1, Resulting Numbers: [16, 1]
Generated Node #0,2,1: 90:[16, 1] Operation: 20/20=1
Exploring Operation: 20-16=4, Resulting Numbers: [20, 4]
Generated Node #0,2,2: 90:[20, 4] Operation: 20-16=4
Exploring Operation: 20-20=0, Resulting Numbers: [16, 0]
Generated Node #0,2,3: 90:[16, 0] Operation: 20-20=0
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 90:[16, 1], Operations: ['37-17=20', '20/20=1']
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 90:[20, 4], Operations: ['37-17=20', '20-16=4']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,90 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 90:[20, 4], Operations: ['37-17=20', '20-16=4']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,90 unequal: No Solution
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 90:[16, 0], Operations: ['37-17=20', '20-20=0']
Exploring Operation: 16-0=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Exploring Operation: 16+0=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Exploring Operation: 16*0=0, Resulting Numbers: [0]
0,90 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: 90:[20, 17, 21], Operations: ['37-16=21']
Exploring Operation: 21-20=1, Resulting Numbers: [17, 1]
Generated Node #0,0,0: 90:[17, 1] Operation: 21-20=1
Exploring Operation: 20+21=41, Resulting Numbers: [17, 41]
Generated Node #0,0,1: 90:[17, 41] Operation: 20+21=41
Exploring Operation: 21-17=4, Resulting Numbers: [20, 4]
Generated Node #0,0,2: 90:[20, 4] Operation: 21-17=4
Exploring Operation: 20-17=3, Resulting Numbers: [21, 3]
Generated Node #0,0,3: 90:[21, 3] Operation: 20-17=3
Moving to Node #0,3
Current State: 90:[16, 37, 3], Operations: ['20-17=3']
Exploring Operation: 37-16=21, Resulting Numbers: [3, 21]
Generated Node #0,3,0: 90:[3, 21] Operation: 37-16=21
Exploring Operation: 16+37=53, Resulting Numbers: [3, 53]
Generated Node #0,3,1: 90:[3, 53] Operation: 16+37=53
Exploring Operation: 37+3=40, Resulting Numbers: [16, 40]
Generated Node #0,3,2: 90:[16, 40] Operation: 37+3=40
Exploring Operation: 37-3=34, Resulting Numbers: [16, 34]
Generated Node #0,3,3: 90:[16, 34] Operation: 37-3=34
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 90:[3, 21], Operations: ['20-17=3', '37-16=21']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,90 unequal: No Solution
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 90:[16, 34], Operations: ['20-17=3', '37-3=34']
Exploring Operation: 16+34=50, Resulting Numbers: [50]
50,90 unequal: No Solution
Exploring Operation: 16*34=544, Resulting Numbers: [544]
544,90 unequal: No Solution
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 90:[16, 40], Operations: ['20-17=3', '37+3=40']
Exploring Operation: 40-16=24, Resulting Numbers: [24]
24,90 unequal: No Solution
Exploring Operation: 16*40=640, Resulting Numbers: [640]
640,90 unequal: No Solution
Exploring Operation: 16+40=56, Resulting Numbers: [56]
56,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 90:[3, 53], Operations: ['20-17=3', '16+37=53']
Exploring Operation: 3+53=56, Resulting Numbers: [56]
56,90 unequal: No Solution
Exploring Operation: 3*53=159, Resulting Numbers: [159]
159,90 unequal: No Solution
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,90 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: 90:[17, 1], Operations: ['37-20=17', '17-16=1']
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,90 unequal: No Solution
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Moving to Node #0,1,3
Current State: 90:[17, 1], Operations: ['37-20=17', '17-16=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,90 unequal: No Solution
Moving to Node #0,1,2
Current State: 90:[16, 1], Operations: ['37-20=17', '17/17=1']
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[17, 1], Operations: ['37-16=21', '21-20=1']
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,90 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Moving to Node #0,0,3
Current State: 90:[21, 3], Operations: ['37-16=21', '20-17=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,90 unequal: No Solution
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,90 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[16, 0], Operations: ['37-20=17', '17-17=0']
Exploring Operation: 16*0=0, Resulting Numbers: [0]
0,90 unequal: No Solution
Exploring Operation: 16-0=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Exploring Operation: 16+0=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Moving to Node #0,0,2
Current State: 90:[20, 4], Operations: ['37-16=21', '21-17=4']
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,90 unequal: No Solution
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,90 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,90 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[17, 41], Operations: ['37-16=21', '20+21=41']
Exploring Operation: 17*41=697, Resulting Numbers: [697]
697,90 unequal: No Solution
Exploring Operation: 41-17=24, Resulting Numbers: [24]
24,90 unequal: No Solution
Exploring Operation: 17+41=58, Resulting Numbers: [58]
58,90 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
6,
21,
95,
77
] | 73 | [
"6*77=462",
"462/21=22",
"95-22=73"
] | Current State: 73:[6, 21, 95, 77], Operations: []
Exploring Operation: 6*77=462, Resulting Numbers: [21, 95, 462]
Generated Node #2: [21, 95, 462] from Operation: 6*77=462
Current State: 73:[21, 95, 462], Operations: ['6*77=462']
Exploring Operation: 462/21=22, Resulting Numbers: [95, 22]
Generated Node #3: [95, 22] from Operation: 462/21=22
Current State: 73:[95, 22], Operations: ['6*77=462', '462/21=22']
Exploring Operation: 95-22=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[6, 21, 95, 77], Operations: []
Exploring Operation: 6+21=27, Resulting Numbers: [95, 77, 27]
Generated Node #0,0: 73:[95, 77, 27] Operation: 6+21=27
Exploring Operation: 95-6=89, Resulting Numbers: [21, 77, 89]
Generated Node #0,1: 73:[21, 77, 89] Operation: 95-6=89
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[95, 77, 27], Operations: ['6+21=27']
Exploring Operation: 95-27=68, Resulting Numbers: [77, 68]
Generated Node #0,0,0: 73:[77, 68] Operation: 95-27=68
Exploring Operation: 77-27=50, Resulting Numbers: [95, 50]
Generated Node #0,0,1: 73:[95, 50] Operation: 77-27=50
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 73:[77, 68], Operations: ['6+21=27', '95-27=68']
Exploring Operation: 77-68=9, Resulting Numbers: [9]
9,73 unequal: No Solution
Exploring Operation: 77+68=145, Resulting Numbers: [145]
145,73 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 #0,0,1
Current State: 73:[95, 50], Operations: ['6+21=27', '77-27=50']
Exploring Operation: 95+50=145, Resulting Numbers: [145]
145,73 unequal: No Solution
Exploring Operation: 95-50=45, Resulting Numbers: [45]
45,73 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:[21, 77, 89], Operations: ['95-6=89']
Exploring Operation: 77-21=56, Resulting Numbers: [89, 56]
Generated Node #0,1,0: 73:[89, 56] Operation: 77-21=56
Exploring Operation: 89-21=68, Resulting Numbers: [77, 68]
Generated Node #0,1,1: 73:[77, 68] Operation: 89-21=68
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 73:[77, 68], Operations: ['95-6=89', '89-21=68']
Exploring Operation: 77+68=145, Resulting Numbers: [145]
145,73 unequal: No Solution
Exploring Operation: 77-68=9, Resulting Numbers: [9]
9,73 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:[89, 56], Operations: ['95-6=89', '77-21=56']
Exploring Operation: 89-56=33, Resulting Numbers: [33]
33,73 unequal: No Solution
Exploring Operation: 89+56=145, Resulting Numbers: [145]
145,73 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_2 | sum_heuristic |
[
82,
69,
20,
69
] | 76 | [
"82-69=13",
"20+69=89",
"89-13=76"
] | Current State: 76:[82, 69, 20, 69], Operations: []
Exploring Operation: 82-69=13, Resulting Numbers: [20, 13]
Generated Node #2: [20, 13] from Operation: 82-69=13
Current State: 76:[20, 13], Operations: ['82-69=13']
Exploring Operation: 20+69=89, Resulting Numbers: [13, 89]
Generated Node #3: [13, 89] from Operation: 20+69=89
Current State: 76:[13, 89], Operations: ['82-69=13', '20+69=89']
Exploring Operation: 89-13=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[82, 69, 20, 69], Operations: []
Exploring Operation: 69-69=0, Resulting Numbers: [82, 20, 0]
Generated Node #0,0: 76:[82, 20, 0] Operation: 69-69=0
Exploring Operation: 69/69=1, Resulting Numbers: [82, 20, 1]
Generated Node #0,1: 76:[82, 20, 1] Operation: 69/69=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[82, 20, 1], Operations: ['69/69=1']
Exploring Operation: 20-1=19, Resulting Numbers: [82, 19]
Generated Node #0,1,0: 76:[82, 19] Operation: 20-1=19
Exploring Operation: 82-1=81, Resulting Numbers: [20, 81]
Generated Node #0,1,1: 76:[20, 81] Operation: 82-1=81
Moving to Node #0,1,0
Current State: 76:[82, 19], Operations: ['69/69=1', '20-1=19']
Exploring Operation: 82+19=101, Resulting Numbers: [101]
101,76 unequal: No Solution
Exploring Operation: 82-19=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[20, 81], Operations: ['69/69=1', '82-1=81']
Exploring Operation: 20+81=101, Resulting Numbers: [101]
101,76 unequal: No Solution
Exploring Operation: 81-20=61, Resulting Numbers: [61]
61,76 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:[82, 20, 0], Operations: ['69-69=0']
Exploring Operation: 82+0=82, Resulting Numbers: [20, 82]
Generated Node #0,0,0: 76:[20, 82] Operation: 82+0=82
Exploring Operation: 82*0=0, Resulting Numbers: [20, 0]
Generated Node #0,0,1: 76:[20, 0] Operation: 82*0=0
Moving to Node #0,0,1
Current State: 76:[20, 0], Operations: ['69-69=0', '82*0=0']
Exploring Operation: 20-0=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Exploring Operation: 20+0=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[20, 82], Operations: ['69-69=0', '82+0=82']
Exploring Operation: 82-20=62, Resulting Numbers: [62]
62,76 unequal: No Solution
Exploring Operation: 20+82=102, Resulting Numbers: [102]
102,76 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 |
[
60,
20,
46,
40
] | 39 | [
"46-20=26",
"60*26=1560",
"1560/40=39"
] | Current State: 39:[60, 20, 46, 40], Operations: []
Exploring Operation: 46-20=26, Resulting Numbers: [60, 40, 26]
Generated Node #2: [60, 40, 26] from Operation: 46-20=26
Current State: 39:[60, 40, 26], Operations: ['46-20=26']
Exploring Operation: 60*26=1560, Resulting Numbers: [40, 1560]
Generated Node #3: [40, 1560] from Operation: 60*26=1560
Current State: 39:[40, 1560], Operations: ['46-20=26', '60*26=1560']
Exploring Operation: 1560/40=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[60, 20, 46, 40], Operations: []
Exploring Operation: 60/20=3, Resulting Numbers: [46, 40, 3]
Generated Node #0,0: 39:[46, 40, 3] Operation: 60/20=3
Moving to Node #0,0
Current State: 39:[46, 40, 3], Operations: ['60/20=3']
Exploring Operation: 46-40=6, Resulting Numbers: [3, 6]
Generated Node #0,0,0: 39:[3, 6] Operation: 46-40=6
Moving to Node #0,0,0
Current State: 39:[3, 6], Operations: ['60/20=3', '46-40=6']
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,39 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
84,
76,
60,
24
] | 77 | [
"84-60=24",
"24/24=1",
"76+1=77"
] | Current State: 77:[84, 76, 60, 24], Operations: []
Exploring Operation: 84-60=24, Resulting Numbers: [76, 24, 24]
Generated Node #2: [76, 24, 24] from Operation: 84-60=24
Current State: 77:[76, 24, 24], Operations: ['84-60=24']
Exploring Operation: 24/24=1, Resulting Numbers: [76, 1]
Generated Node #3: [76, 1] from Operation: 24/24=1
Current State: 77:[76, 1], Operations: ['84-60=24', '24/24=1']
Exploring Operation: 76+1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[84, 76, 60, 24], Operations: []
Exploring Operation: 76-60=16, Resulting Numbers: [84, 24, 16]
Generated Node #0,0: 77:[84, 24, 16] Operation: 76-60=16
Exploring Operation: 84-60=24, Resulting Numbers: [76, 24, 24]
Generated Node #0,1: 77:[76, 24, 24] Operation: 84-60=24
Exploring Operation: 60+24=84, Resulting Numbers: [84, 76, 84]
Generated Node #0,2: 77:[84, 76, 84] Operation: 60+24=84
Moving to Node #0,2
Current State: 77:[84, 76, 84], Operations: ['60+24=84']
Exploring Operation: 84/84=1, Resulting Numbers: [76, 1]
Generated Node #0,2,0: 77:[76, 1] Operation: 84/84=1
Exploring Operation: 84-76=8, Resulting Numbers: [84, 8]
Generated Node #0,2,1: 77:[84, 8] Operation: 84-76=8
Exploring Operation: 84-84=0, Resulting Numbers: [76, 0]
Generated Node #0,2,2: 77:[76, 0] Operation: 84-84=0
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 77:[76, 1], Operations: ['60+24=84', '84/84=1']
Exploring Operation: 76+1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[84, 76, 60, 24], Operations: []
Exploring Operation: 60+24=84, Resulting Numbers: [84, 76, 84]
Generated Node #0,2: 77:[84, 76, 84] Operation: 60+24=84
Moving to Node #0,2
Current State: 77:[84, 76, 84], Operations: ['60+24=84']
Exploring Operation: 84/84=1, Resulting Numbers: [76, 1]
Generated Node #0,2,0: 77:[76, 1] Operation: 84/84=1
Moving to Node #0,2,0
Current State: 77:[76, 1], Operations: ['60+24=84', '84/84=1']
Exploring Operation: 76+1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
66,
54,
30,
68
] | 22 | [
"66+54=120",
"30+68=98",
"120-98=22"
] | Current State: 22:[66, 54, 30, 68], Operations: []
Exploring Operation: 66+54=120, Resulting Numbers: [30, 68, 120]
Generated Node #2: [30, 68, 120] from Operation: 66+54=120
Current State: 22:[30, 68, 120], Operations: ['66+54=120']
Exploring Operation: 30+68=98, Resulting Numbers: [120, 98]
Generated Node #3: [120, 98] from Operation: 30+68=98
Current State: 22:[120, 98], Operations: ['66+54=120', '30+68=98']
Exploring Operation: 120-98=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[66, 54, 30, 68], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [54, 30, 2]
Generated Node #0,0: 22:[54, 30, 2] Operation: 68-66=2
Exploring Operation: 66-54=12, Resulting Numbers: [30, 68, 12]
Generated Node #0,1: 22:[30, 68, 12] Operation: 66-54=12
Moving to Node #0,0
Current State: 22:[54, 30, 2], Operations: ['68-66=2']
Exploring Operation: 54/2=27, Resulting Numbers: [30, 27]
Generated Node #0,0,0: 22:[30, 27] Operation: 54/2=27
Exploring Operation: 54-30=24, Resulting Numbers: [2, 24]
Generated Node #0,0,1: 22:[2, 24] Operation: 54-30=24
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 22:[2, 24], Operations: ['68-66=2', '54-30=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[66, 54, 30, 68], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [54, 30, 2]
Generated Node #0,0: 22:[54, 30, 2] Operation: 68-66=2
Moving to Node #0,0
Current State: 22:[54, 30, 2], Operations: ['68-66=2']
Exploring Operation: 54-30=24, Resulting Numbers: [2, 24]
Generated Node #0,0,1: 22:[2, 24] Operation: 54-30=24
Moving to Node #0,0,1
Current State: 22:[2, 24], Operations: ['68-66=2', '54-30=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
75,
16,
29,
22
] | 99 | [
"22-16=6",
"29*6=174",
"174-75=99"
] | Current State: 99:[75, 16, 29, 22], Operations: []
Exploring Operation: 22-16=6, Resulting Numbers: [75, 29, 6]
Generated Node #2: [75, 29, 6] from Operation: 22-16=6
Current State: 99:[75, 29, 6], Operations: ['22-16=6']
Exploring Operation: 29*6=174, Resulting Numbers: [75, 174]
Generated Node #3: [75, 174] from Operation: 29*6=174
Current State: 99:[75, 174], Operations: ['22-16=6', '29*6=174']
Exploring Operation: 174-75=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[75, 16, 29, 22], Operations: []
Exploring Operation: 75+22=97, Resulting Numbers: [16, 29, 97]
Generated Node #0,0: 99:[16, 29, 97] Operation: 75+22=97
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[16, 29, 97], Operations: ['75+22=97']
Exploring Operation: 29-16=13, Resulting Numbers: [97, 13]
Generated Node #0,0,0: 99:[97, 13] Operation: 29-16=13
Moving to Node #0,0,0
Current State: 99:[97, 13], Operations: ['75+22=97', '29-16=13']
Exploring Operation: 97+13=110, Resulting Numbers: [110]
110,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
64,
79,
56,
92
] | 51 | [
"79-64=15",
"92-56=36",
"15+36=51"
] | Current State: 51:[64, 79, 56, 92], Operations: []
Exploring Operation: 79-64=15, Resulting Numbers: [56, 92, 15]
Generated Node #2: [56, 92, 15] from Operation: 79-64=15
Current State: 51:[56, 92, 15], Operations: ['79-64=15']
Exploring Operation: 92-56=36, Resulting Numbers: [15, 36]
Generated Node #3: [15, 36] from Operation: 92-56=36
Current State: 51:[15, 36], Operations: ['79-64=15', '92-56=36']
Exploring Operation: 15+36=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[64, 79, 56, 92], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [64, 56, 13]
Generated Node #0,0: 51:[64, 56, 13] Operation: 92-79=13
Moving to Node #0,0
Current State: 51:[64, 56, 13], Operations: ['92-79=13']
Exploring Operation: 64-13=51, Resulting Numbers: [56, 51]
Generated Node #0,0,0: 51:[56, 51] Operation: 64-13=51
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[56, 51], Operations: ['92-79=13', '64-13=51']
Exploring Operation: 56-51=5, Resulting Numbers: [5]
5,51 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 |
[
31,
15,
9,
15
] | 96 | [
"31-15=16",
"15-9=6",
"16*6=96"
] | Current State: 96:[31, 15, 9, 15], Operations: []
Exploring Operation: 31-15=16, Resulting Numbers: [9, 16]
Generated Node #2: [9, 16] from Operation: 31-15=16
Current State: 96:[9, 16], Operations: ['31-15=16']
Exploring Operation: 15-9=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 15-9=6
Current State: 96:[16, 6], Operations: ['31-15=16', '15-9=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[31, 15, 9, 15], Operations: []
Exploring Operation: 31-15=16, Resulting Numbers: [9, 15, 16]
Generated Node #0,0: 96:[9, 15, 16] Operation: 31-15=16
Exploring Operation: 15+9=24, Resulting Numbers: [31, 15, 24]
Generated Node #0,1: 96:[31, 15, 24] Operation: 15+9=24
Exploring Operation: 31-15=16, Resulting Numbers: [15, 9, 16]
Generated Node #0,2: 96:[15, 9, 16] Operation: 31-15=16
Exploring Operation: 9+15=24, Resulting Numbers: [31, 15, 24]
Generated Node #0,3: 96:[31, 15, 24] Operation: 9+15=24
Exploring Operation: 15-9=6, Resulting Numbers: [31, 15, 6]
Generated Node #0,4: 96:[31, 15, 6] Operation: 15-9=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[9, 15, 16], Operations: ['31-15=16']
Exploring Operation: 15+16=31, Resulting Numbers: [9, 31]
Generated Node #0,0,0: 96:[9, 31] Operation: 15+16=31
Exploring Operation: 9+15=24, Resulting Numbers: [16, 24]
Generated Node #0,0,1: 96:[16, 24] Operation: 9+15=24
Exploring Operation: 16-9=7, Resulting Numbers: [15, 7]
Generated Node #0,0,2: 96:[15, 7] Operation: 16-9=7
Exploring Operation: 9+16=25, Resulting Numbers: [15, 25]
Generated Node #0,0,3: 96:[15, 25] Operation: 9+16=25
Exploring Operation: 15-9=6, Resulting Numbers: [16, 6]
Generated Node #0,0,4: 96:[16, 6] Operation: 15-9=6
Moving to Node #0,0,1
Current State: 96:[16, 24], Operations: ['31-15=16', '9+15=24']
Exploring Operation: 16+24=40, Resulting Numbers: [40]
40,96 unequal: No Solution
Exploring Operation: 16*24=384, Resulting Numbers: [384]
384,96 unequal: No Solution
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,96 unequal: No Solution
Moving to Node #0,0,4
Current State: 96:[16, 6], Operations: ['31-15=16', '15-9=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[31, 15, 9, 15], Operations: []
Exploring Operation: 31-15=16, Resulting Numbers: [9, 15, 16]
Generated Node #0,0: 96:[9, 15, 16] Operation: 31-15=16
Moving to Node #0,0
Current State: 96:[9, 15, 16], Operations: ['31-15=16']
Exploring Operation: 15-9=6, Resulting Numbers: [16, 6]
Generated Node #0,0,4: 96:[16, 6] Operation: 15-9=6
Moving to Node #0,0,4
Current State: 96:[16, 6], Operations: ['31-15=16', '15-9=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
82,
88,
18,
41
] | 52 | [
"82*18=1476",
"1476/41=36",
"88-36=52"
] | Current State: 52:[82, 88, 18, 41], Operations: []
Exploring Operation: 82*18=1476, Resulting Numbers: [88, 41, 1476]
Generated Node #2: [88, 41, 1476] from Operation: 82*18=1476
Current State: 52:[88, 41, 1476], Operations: ['82*18=1476']
Exploring Operation: 1476/41=36, Resulting Numbers: [88, 36]
Generated Node #3: [88, 36] from Operation: 1476/41=36
Current State: 52:[88, 36], Operations: ['82*18=1476', '1476/41=36']
Exploring Operation: 88-36=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[82, 88, 18, 41], Operations: []
Exploring Operation: 88-41=47, Resulting Numbers: [82, 18, 47]
Generated Node #0,0: 52:[82, 18, 47] Operation: 88-41=47
Exploring Operation: 82/41=2, Resulting Numbers: [88, 18, 2]
Generated Node #0,1: 52:[88, 18, 2] Operation: 82/41=2
Exploring Operation: 88-82=6, Resulting Numbers: [18, 41, 6]
Generated Node #0,2: 52:[18, 41, 6] Operation: 88-82=6
Moving to Node #0,2
Current State: 52:[18, 41, 6], Operations: ['88-82=6']
Exploring Operation: 18+41=59, Resulting Numbers: [6, 59]
Generated Node #0,2,0: 52:[6, 59] Operation: 18+41=59
Exploring Operation: 41-18=23, Resulting Numbers: [6, 23]
Generated Node #0,2,1: 52:[6, 23] Operation: 41-18=23
Exploring Operation: 41+6=47, Resulting Numbers: [18, 47]
Generated Node #0,2,2: 52:[18, 47] Operation: 41+6=47
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 52:[6, 23], Operations: ['88-82=6', '41-18=23']
Exploring Operation: 6+23=29, Resulting Numbers: [29]
29,52 unequal: No Solution
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 6*23=138, Resulting Numbers: [138]
138,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 52:[6, 59], Operations: ['88-82=6', '18+41=59']
Exploring Operation: 6*59=354, Resulting Numbers: [354]
354,52 unequal: No Solution
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 6+59=65, Resulting Numbers: [65]
65,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 52:[18, 47], Operations: ['88-82=6', '41+6=47']
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,52 unequal: No Solution
Exploring Operation: 18*47=846, Resulting Numbers: [846]
846,52 unequal: No Solution
Exploring Operation: 18+47=65, Resulting Numbers: [65]
65,52 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: 52:[82, 18, 47], Operations: ['88-41=47']
Exploring Operation: 47-18=29, Resulting Numbers: [82, 29]
Generated Node #0,0,0: 52:[82, 29] Operation: 47-18=29
Exploring Operation: 82-18=64, Resulting Numbers: [47, 64]
Generated Node #0,0,1: 52:[47, 64] Operation: 82-18=64
Exploring Operation: 82-47=35, Resulting Numbers: [18, 35]
Generated Node #0,0,2: 52:[18, 35] Operation: 82-47=35
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 52:[18, 35], Operations: ['88-41=47', '82-47=35']
Exploring Operation: 18*35=630, Resulting Numbers: [630]
630,52 unequal: No Solution
Exploring Operation: 18+35=53, Resulting Numbers: [53]
53,52 unequal: No Solution
Exploring Operation: 35-18=17, Resulting Numbers: [17]
17,52 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:[47, 64], Operations: ['88-41=47', '82-18=64']
Exploring Operation: 47*64=3008, Resulting Numbers: [3008]
3008,52 unequal: No Solution
Exploring Operation: 64-47=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 47+64=111, Resulting Numbers: [111]
111,52 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:[82, 29], Operations: ['88-41=47', '47-18=29']
Exploring Operation: 82*29=2378, Resulting Numbers: [2378]
2378,52 unequal: No Solution
Exploring Operation: 82+29=111, Resulting Numbers: [111]
111,52 unequal: No Solution
Exploring Operation: 82-29=53, Resulting Numbers: [53]
53,52 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:[88, 18, 2], Operations: ['82/41=2']
Exploring Operation: 88/2=44, Resulting Numbers: [18, 44]
Generated Node #0,1,0: 52:[18, 44] Operation: 88/2=44
Exploring Operation: 88-18=70, Resulting Numbers: [2, 70]
Generated Node #0,1,1: 52:[2, 70] Operation: 88-18=70
Exploring Operation: 88-2=86, Resulting Numbers: [18, 86]
Generated Node #0,1,2: 52:[18, 86] Operation: 88-2=86
Moving to Node #0,1,0
Current State: 52:[18, 44], Operations: ['82/41=2', '88/2=44']
Exploring Operation: 44-18=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 18+44=62, Resulting Numbers: [62]
62,52 unequal: No Solution
Exploring Operation: 18*44=792, Resulting Numbers: [792]
792,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[2, 70], Operations: ['82/41=2', '88-18=70']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,52 unequal: No Solution
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 2+70=72, Resulting Numbers: [72]
72,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[18, 86], Operations: ['82/41=2', '88-2=86']
Exploring Operation: 18*86=1548, Resulting Numbers: [1548]
1548,52 unequal: No Solution
Exploring Operation: 86-18=68, Resulting Numbers: [68]
68,52 unequal: No Solution
Exploring Operation: 18+86=104, Resulting Numbers: [104]
104,52 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
88,
45,
2,
69
] | 76 | [
"69-45=24",
"24/2=12",
"88-12=76"
] | Current State: 76:[88, 45, 2, 69], Operations: []
Exploring Operation: 69-45=24, Resulting Numbers: [88, 2, 24]
Generated Node #2: [88, 2, 24] from Operation: 69-45=24
Current State: 76:[88, 2, 24], Operations: ['69-45=24']
Exploring Operation: 24/2=12, Resulting Numbers: [88, 12]
Generated Node #3: [88, 12] from Operation: 24/2=12
Current State: 76:[88, 12], Operations: ['69-45=24', '24/2=12']
Exploring Operation: 88-12=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[88, 45, 2, 69], Operations: []
Exploring Operation: 88/2=44, Resulting Numbers: [45, 69, 44]
Generated Node #0,0: 76:[45, 69, 44] Operation: 88/2=44
Exploring Operation: 88-45=43, Resulting Numbers: [2, 69, 43]
Generated Node #0,1: 76:[2, 69, 43] Operation: 88-45=43
Exploring Operation: 88-2=86, Resulting Numbers: [45, 69, 86]
Generated Node #0,2: 76:[45, 69, 86] Operation: 88-2=86
Exploring Operation: 88-69=19, Resulting Numbers: [45, 2, 19]
Generated Node #0,3: 76:[45, 2, 19] Operation: 88-69=19
Exploring Operation: 69-45=24, Resulting Numbers: [88, 2, 24]
Generated Node #0,4: 76:[88, 2, 24] Operation: 69-45=24
Moving to Node #0,3
Current State: 76:[45, 2, 19], Operations: ['88-69=19']
Exploring Operation: 2+19=21, Resulting Numbers: [45, 21]
Generated Node #0,3,0: 76:[45, 21] Operation: 2+19=21
Exploring Operation: 45+2=47, Resulting Numbers: [19, 47]
Generated Node #0,3,1: 76:[19, 47] Operation: 45+2=47
Exploring Operation: 45-2=43, Resulting Numbers: [19, 43]
Generated Node #0,3,2: 76:[19, 43] Operation: 45-2=43
Exploring Operation: 45-19=26, Resulting Numbers: [2, 26]
Generated Node #0,3,3: 76:[2, 26] Operation: 45-19=26
Exploring Operation: 2*19=38, Resulting Numbers: [45, 38]
Generated Node #0,3,4: 76:[45, 38] Operation: 2*19=38
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 76:[19, 43], Operations: ['88-69=19', '45-2=43']
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Exploring Operation: 19+43=62, Resulting Numbers: [62]
62,76 unequal: No Solution
Exploring Operation: 19*43=817, Resulting Numbers: [817]
817,76 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 #0,3,3
Current State: 76:[2, 26], Operations: ['88-69=19', '45-19=26']
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,76 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,76 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,76 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,76 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 #0,3,4
Current State: 76:[45, 38], Operations: ['88-69=19', '2*19=38']
Exploring Operation: 45+38=83, Resulting Numbers: [83]
83,76 unequal: No Solution
Exploring Operation: 45-38=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 45*38=1710, Resulting Numbers: [1710]
1710,76 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 #0,3,0
Current State: 76:[45, 21], Operations: ['88-69=19', '2+19=21']
Exploring Operation: 45*21=945, Resulting Numbers: [945]
945,76 unequal: No Solution
Exploring Operation: 45+21=66, Resulting Numbers: [66]
66,76 unequal: No Solution
Exploring Operation: 45-21=24, Resulting Numbers: [24]
24,76 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 #0,3,1
Current State: 76:[19, 47], Operations: ['88-69=19', '45+2=47']
Exploring Operation: 19+47=66, Resulting Numbers: [66]
66,76 unequal: No Solution
Exploring Operation: 47-19=28, Resulting Numbers: [28]
28,76 unequal: No Solution
Exploring Operation: 19*47=893, Resulting Numbers: [893]
893,76 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: 76:[2, 69, 43], Operations: ['88-45=43']
Exploring Operation: 2+69=71, Resulting Numbers: [43, 71]
Generated Node #0,1,0: 76:[43, 71] Operation: 2+69=71
Exploring Operation: 69-2=67, Resulting Numbers: [43, 67]
Generated Node #0,1,1: 76:[43, 67] Operation: 69-2=67
Exploring Operation: 2+43=45, Resulting Numbers: [69, 45]
Generated Node #0,1,2: 76:[69, 45] Operation: 2+43=45
Exploring Operation: 43-2=41, Resulting Numbers: [69, 41]
Generated Node #0,1,3: 76:[69, 41] Operation: 43-2=41
Exploring Operation: 69-43=26, Resulting Numbers: [2, 26]
Generated Node #0,1,4: 76:[2, 26] Operation: 69-43=26
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 76:[2, 26], Operations: ['88-45=43', '69-43=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,76 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,76 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,76 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 #0,1,0
Current State: 76:[43, 71], Operations: ['88-45=43', '2+69=71']
Exploring Operation: 71-43=28, Resulting Numbers: [28]
28,76 unequal: No Solution
Exploring Operation: 43+71=114, Resulting Numbers: [114]
114,76 unequal: No Solution
Exploring Operation: 43*71=3053, Resulting Numbers: [3053]
3053,76 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 #0,1,3
Current State: 76:[69, 41], Operations: ['88-45=43', '43-2=41']
Exploring Operation: 69*41=2829, Resulting Numbers: [2829]
2829,76 unequal: No Solution
Exploring Operation: 69+41=110, Resulting Numbers: [110]
110,76 unequal: No Solution
Exploring Operation: 69-41=28, Resulting Numbers: [28]
28,76 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 #0,1,1
Current State: 76:[43, 67], Operations: ['88-45=43', '69-2=67']
Exploring Operation: 43*67=2881, Resulting Numbers: [2881]
2881,76 unequal: No Solution
Exploring Operation: 67-43=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Exploring Operation: 43+67=110, Resulting Numbers: [110]
110,76 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 #0,1,2
Current State: 76:[69, 45], Operations: ['88-45=43', '2+43=45']
Exploring Operation: 69-45=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Exploring Operation: 69+45=114, Resulting Numbers: [114]
114,76 unequal: No Solution
Exploring Operation: 69*45=3105, Resulting Numbers: [3105]
3105,76 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: 76:[88, 2, 24], Operations: ['69-45=24']
Exploring Operation: 88+2=90, Resulting Numbers: [24, 90]
Generated Node #0,4,0: 76:[24, 90] Operation: 88+2=90
Exploring Operation: 88/2=44, Resulting Numbers: [24, 44]
Generated Node #0,4,1: 76:[24, 44] Operation: 88/2=44
Exploring Operation: 88-24=64, Resulting Numbers: [2, 64]
Generated Node #0,4,2: 76:[2, 64] Operation: 88-24=64
Exploring Operation: 88-2=86, Resulting Numbers: [24, 86]
Generated Node #0,4,3: 76:[24, 86] Operation: 88-2=86
Exploring Operation: 24-2=22, Resulting Numbers: [88, 22]
Generated Node #0,4,4: 76:[88, 22] Operation: 24-2=22
Moving to Node #0,0
Current State: 76:[45, 69, 44], Operations: ['88/2=44']
Exploring Operation: 45+44=89, Resulting Numbers: [69, 89]
Generated Node #0,0,0: 76:[69, 89] Operation: 45+44=89
Exploring Operation: 69-45=24, Resulting Numbers: [44, 24]
Generated Node #0,0,1: 76:[44, 24] Operation: 69-45=24
Exploring Operation: 45-44=1, Resulting Numbers: [69, 1]
Generated Node #0,0,2: 76:[69, 1] Operation: 45-44=1
Exploring Operation: 69-44=25, Resulting Numbers: [45, 25]
Generated Node #0,0,3: 76:[45, 25] Operation: 69-44=25
Exploring Operation: 45+69=114, Resulting Numbers: [44, 114]
Generated Node #0,0,4: 76:[44, 114] Operation: 45+69=114
Moving to Node #0,2
Current State: 76:[45, 69, 86], Operations: ['88-2=86']
Exploring Operation: 45+69=114, Resulting Numbers: [86, 114]
Generated Node #0,2,0: 76:[86, 114] Operation: 45+69=114
Exploring Operation: 86-69=17, Resulting Numbers: [45, 17]
Generated Node #0,2,1: 76:[45, 17] Operation: 86-69=17
Exploring Operation: 86-45=41, Resulting Numbers: [69, 41]
Generated Node #0,2,2: 76:[69, 41] Operation: 86-45=41
Exploring Operation: 69-45=24, Resulting Numbers: [86, 24]
Generated Node #0,2,3: 76:[86, 24] Operation: 69-45=24
Exploring Operation: 45+86=131, Resulting Numbers: [69, 131]
Generated Node #0,2,4: 76:[69, 131] Operation: 45+86=131
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 76:[45, 17], Operations: ['88-2=86', '86-69=17']
Exploring Operation: 45*17=765, Resulting Numbers: [765]
765,76 unequal: No Solution
Exploring Operation: 45+17=62, Resulting Numbers: [62]
62,76 unequal: No Solution
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,76 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 #0,2,2
Current State: 76:[69, 41], Operations: ['88-2=86', '86-45=41']
Exploring Operation: 69*41=2829, Resulting Numbers: [2829]
2829,76 unequal: No Solution
Exploring Operation: 69-41=28, Resulting Numbers: [28]
28,76 unequal: No Solution
Exploring Operation: 69+41=110, Resulting Numbers: [110]
110,76 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 #0,2,3
Current State: 76:[86, 24], Operations: ['88-2=86', '69-45=24']
Exploring Operation: 86+24=110, Resulting Numbers: [110]
110,76 unequal: No Solution
Exploring Operation: 86*24=2064, Resulting Numbers: [2064]
2064,76 unequal: No Solution
Exploring Operation: 86-24=62, Resulting Numbers: [62]
62,76 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 #0,2,0
Current State: 76:[86, 114], Operations: ['88-2=86', '45+69=114']
Exploring Operation: 114-86=28, Resulting Numbers: [28]
28,76 unequal: No Solution
Exploring Operation: 86*114=9804, Resulting Numbers: [9804]
9804,76 unequal: No Solution
Exploring Operation: 86+114=200, Resulting Numbers: [200]
200,76 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 #0,2,4
Current State: 76:[69, 131], Operations: ['88-2=86', '45+86=131']
Exploring Operation: 69+131=200, Resulting Numbers: [200]
200,76 unequal: No Solution
Exploring Operation: 131-69=62, Resulting Numbers: [62]
62,76 unequal: No Solution
Exploring Operation: 69*131=9039, Resulting Numbers: [9039]
9039,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 76:[69, 1], Operations: ['88/2=44', '45-44=1']
Exploring Operation: 69+1=70, Resulting Numbers: [70]
70,76 unequal: No Solution
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,76 unequal: No Solution
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,76 unequal: No Solution
Exploring Operation: 69/1=69, Resulting Numbers: [69]
69,76 unequal: No Solution
Moving to Node #0,4,1
Current State: 76:[24, 44], Operations: ['69-45=24', '88/2=44']
Exploring Operation: 24*44=1056, Resulting Numbers: [1056]
1056,76 unequal: No Solution
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Exploring Operation: 24+44=68, Resulting Numbers: [68]
68,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[44, 24], Operations: ['88/2=44', '69-45=24']
Exploring Operation: 44+24=68, Resulting Numbers: [68]
68,76 unequal: No Solution
Exploring Operation: 44*24=1056, Resulting Numbers: [1056]
1056,76 unequal: No Solution
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Moving to Node #0,4,2
Current State: 76:[2, 64], Operations: ['69-45=24', '88-24=64']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,76 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,76 unequal: No Solution
Exploring Operation: 2*64=128, Resulting Numbers: [128]
128,76 unequal: No Solution
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,76 unequal: No Solution
Moving to Node #0,0,3
Current State: 76:[45, 25], Operations: ['88/2=44', '69-44=25']
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Exploring Operation: 45*25=1125, Resulting Numbers: [1125]
1125,76 unequal: No Solution
Exploring Operation: 45+25=70, Resulting Numbers: [70]
70,76 unequal: No Solution
Moving to Node #0,4,3
Current State: 76:[24, 86], Operations: ['69-45=24', '88-2=86']
Exploring Operation: 24+86=110, Resulting Numbers: [110]
110,76 unequal: No Solution
Exploring Operation: 86-24=62, Resulting Numbers: [62]
62,76 unequal: No Solution
Exploring Operation: 24*86=2064, Resulting Numbers: [2064]
2064,76 unequal: No Solution
Moving to Node #0,4,4
Current State: 76:[88, 22], Operations: ['69-45=24', '24-2=22']
Exploring Operation: 88/22=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 88-22=66, Resulting Numbers: [66]
66,76 unequal: No Solution
Exploring Operation: 88+22=110, Resulting Numbers: [110]
110,76 unequal: No Solution
Exploring Operation: 88*22=1936, Resulting Numbers: [1936]
1936,76 unequal: No Solution
Moving to Node #0,4,0
Current State: 76:[24, 90], Operations: ['69-45=24', '88+2=90']
Exploring Operation: 24*90=2160, Resulting Numbers: [2160]
2160,76 unequal: No Solution
Exploring Operation: 24+90=114, Resulting Numbers: [114]
114,76 unequal: No Solution
Exploring Operation: 90-24=66, Resulting Numbers: [66]
66,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[69, 89], Operations: ['88/2=44', '45+44=89']
Exploring Operation: 89-69=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Exploring Operation: 69+89=158, Resulting Numbers: [158]
158,76 unequal: No Solution
Exploring Operation: 69*89=6141, Resulting Numbers: [6141]
6141,76 unequal: No Solution
Moving to Node #0,0,4
Current State: 76:[44, 114], Operations: ['88/2=44', '45+69=114']
Exploring Operation: 44*114=5016, Resulting Numbers: [5016]
5016,76 unequal: No Solution
Exploring Operation: 114-44=70, Resulting Numbers: [70]
70,76 unequal: No Solution
Exploring Operation: 44+114=158, Resulting Numbers: [158]
158,76 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
5,
29,
94,
96
] | 36 | [
"5+29=34",
"96-94=2",
"34+2=36"
] | Current State: 36:[5, 29, 94, 96], Operations: []
Exploring Operation: 5+29=34, Resulting Numbers: [94, 96, 34]
Generated Node #2: [94, 96, 34] from Operation: 5+29=34
Current State: 36:[94, 96, 34], Operations: ['5+29=34']
Exploring Operation: 96-94=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 96-94=2
Current State: 36:[34, 2], Operations: ['5+29=34', '96-94=2']
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[5, 29, 94, 96], Operations: []
Exploring Operation: 94-29=65, Resulting Numbers: [5, 96, 65]
Generated Node #0,0: 36:[5, 96, 65] Operation: 94-29=65
Exploring Operation: 96-94=2, Resulting Numbers: [5, 29, 2]
Generated Node #0,1: 36:[5, 29, 2] Operation: 96-94=2
Exploring Operation: 94-5=89, Resulting Numbers: [29, 96, 89]
Generated Node #0,2: 36:[29, 96, 89] Operation: 94-5=89
Exploring Operation: 96-29=67, Resulting Numbers: [5, 94, 67]
Generated Node #0,3: 36:[5, 94, 67] Operation: 96-29=67
Exploring Operation: 5+29=34, Resulting Numbers: [94, 96, 34]
Generated Node #0,4: 36:[94, 96, 34] Operation: 5+29=34
Moving to Node #0,1
Current State: 36:[5, 29, 2], Operations: ['96-94=2']
Exploring Operation: 29-5=24, Resulting Numbers: [2, 24]
Generated Node #0,1,0: 36:[2, 24] Operation: 29-5=24
Exploring Operation: 5+2=7, Resulting Numbers: [29, 7]
Generated Node #0,1,1: 36:[29, 7] Operation: 5+2=7
Exploring Operation: 5+29=34, Resulting Numbers: [2, 34]
Generated Node #0,1,2: 36:[2, 34] Operation: 5+29=34
Exploring Operation: 29+2=31, Resulting Numbers: [5, 31]
Generated Node #0,1,3: 36:[5, 31] Operation: 29+2=31
Exploring Operation: 5-2=3, Resulting Numbers: [29, 3]
Generated Node #0,1,4: 36:[29, 3] Operation: 5-2=3
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 36:[2, 34], Operations: ['96-94=2', '5+29=34']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,36 unequal: No Solution
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,36 unequal: No Solution
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,36 unequal: No Solution
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[5, 29, 94, 96], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [5, 29, 2]
Generated Node #0,1: 36:[5, 29, 2] Operation: 96-94=2
Moving to Node #0,1
Current State: 36:[5, 29, 2], Operations: ['96-94=2']
Exploring Operation: 5+29=34, Resulting Numbers: [2, 34]
Generated Node #0,1,2: 36:[2, 34] Operation: 5+29=34
Moving to Node #0,1,2
Current State: 36:[2, 34], Operations: ['96-94=2', '5+29=34']
Exploring Operation: 2+34=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
89,
23,
25,
4
] | 83 | [
"89+23=112",
"25+4=29",
"112-29=83"
] | Current State: 83:[89, 23, 25, 4], Operations: []
Exploring Operation: 89+23=112, Resulting Numbers: [25, 4, 112]
Generated Node #2: [25, 4, 112] from Operation: 89+23=112
Current State: 83:[25, 4, 112], Operations: ['89+23=112']
Exploring Operation: 25+4=29, Resulting Numbers: [112, 29]
Generated Node #3: [112, 29] from Operation: 25+4=29
Current State: 83:[112, 29], Operations: ['89+23=112', '25+4=29']
Exploring Operation: 112-29=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[89, 23, 25, 4], Operations: []
Exploring Operation: 23*4=92, Resulting Numbers: [89, 25, 92]
Generated Node #0,0: 83:[89, 25, 92] Operation: 23*4=92
Moving to Node #0,0
Current State: 83:[89, 25, 92], Operations: ['23*4=92']
Exploring Operation: 92-25=67, Resulting Numbers: [89, 67]
Generated Node #0,0,0: 83:[89, 67] Operation: 92-25=67
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 83:[89, 67], Operations: ['23*4=92', '92-25=67']
Exploring Operation: 89-67=22, Resulting Numbers: [22]
22,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
10,
45,
65,
99
] | 81 | [
"65-10=55",
"45*99=4455",
"4455/55=81"
] | Current State: 81:[10, 45, 65, 99], Operations: []
Exploring Operation: 65-10=55, Resulting Numbers: [45, 99, 55]
Generated Node #2: [45, 99, 55] from Operation: 65-10=55
Current State: 81:[45, 99, 55], Operations: ['65-10=55']
Exploring Operation: 45*99=4455, Resulting Numbers: [55, 4455]
Generated Node #3: [55, 4455] from Operation: 45*99=4455
Current State: 81:[55, 4455], Operations: ['65-10=55', '45*99=4455']
Exploring Operation: 4455/55=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[10, 45, 65, 99], Operations: []
Exploring Operation: 99-65=34, Resulting Numbers: [10, 45, 34]
Generated Node #0,0: 81:[10, 45, 34] Operation: 99-65=34
Exploring Operation: 65-45=20, Resulting Numbers: [10, 99, 20]
Generated Node #0,1: 81:[10, 99, 20] Operation: 65-45=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[10, 45, 34], Operations: ['99-65=34']
Exploring Operation: 45-34=11, Resulting Numbers: [10, 11]
Generated Node #0,0,0: 81:[10, 11] Operation: 45-34=11
Exploring Operation: 45+34=79, Resulting Numbers: [10, 79]
Generated Node #0,0,1: 81:[10, 79] Operation: 45+34=79
Moving to Node #0,0,0
Current State: 81:[10, 11], Operations: ['99-65=34', '45-34=11']
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,81 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,81 unequal: No Solution
Moving to Node #0,0,1
Current State: 81:[10, 79], Operations: ['99-65=34', '45+34=79']
Exploring Operation: 10+79=89, Resulting Numbers: [89]
89,81 unequal: No Solution
Exploring Operation: 79-10=69, Resulting Numbers: [69]
69,81 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:[10, 99, 20], Operations: ['65-45=20']
Exploring Operation: 99-20=79, Resulting Numbers: [10, 79]
Generated Node #0,1,0: 81:[10, 79] Operation: 99-20=79
Exploring Operation: 99-10=89, Resulting Numbers: [20, 89]
Generated Node #0,1,1: 81:[20, 89] Operation: 99-10=89
Moving to Node #0,1,0
Current State: 81:[10, 79], Operations: ['65-45=20', '99-20=79']
Exploring Operation: 79-10=69, Resulting Numbers: [69]
69,81 unequal: No Solution
Exploring Operation: 10+79=89, Resulting Numbers: [89]
89,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[20, 89], Operations: ['65-45=20', '99-10=89']
Exploring Operation: 20+89=109, Resulting Numbers: [109]
109,81 unequal: No Solution
Exploring Operation: 89-20=69, Resulting Numbers: [69]
69,81 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 |
[
64,
34,
28,
51
] | 58 | [
"64*28=1792",
"34*51=1734",
"1792-1734=58"
] | Current State: 58:[64, 34, 28, 51], Operations: []
Exploring Operation: 64*28=1792, Resulting Numbers: [34, 51, 1792]
Generated Node #2: [34, 51, 1792] from Operation: 64*28=1792
Current State: 58:[34, 51, 1792], Operations: ['64*28=1792']
Exploring Operation: 34*51=1734, Resulting Numbers: [1792, 1734]
Generated Node #3: [1792, 1734] from Operation: 34*51=1734
Current State: 58:[1792, 1734], Operations: ['64*28=1792', '34*51=1734']
Exploring Operation: 1792-1734=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[64, 34, 28, 51], Operations: []
Exploring Operation: 64-34=30, Resulting Numbers: [28, 51, 30]
Generated Node #0,0: 58:[28, 51, 30] Operation: 64-34=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[28, 51, 30], Operations: ['64-34=30']
Exploring Operation: 51-28=23, Resulting Numbers: [30, 23]
Generated Node #0,0,0: 58:[30, 23] Operation: 51-28=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[30, 23], Operations: ['64-34=30', '51-28=23']
Exploring Operation: 30+23=53, Resulting Numbers: [53]
53,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
58,
50,
78,
54
] | 84 | [
"58+50=108",
"78-54=24",
"108-24=84"
] | Current State: 84:[58, 50, 78, 54], Operations: []
Exploring Operation: 58+50=108, Resulting Numbers: [78, 54, 108]
Generated Node #2: [78, 54, 108] from Operation: 58+50=108
Current State: 84:[78, 54, 108], Operations: ['58+50=108']
Exploring Operation: 78-54=24, Resulting Numbers: [108, 24]
Generated Node #3: [108, 24] from Operation: 78-54=24
Current State: 84:[108, 24], Operations: ['58+50=108', '78-54=24']
Exploring Operation: 108-24=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[58, 50, 78, 54], Operations: []
Exploring Operation: 78-54=24, Resulting Numbers: [58, 50, 24]
Generated Node #0,0: 84:[58, 50, 24] Operation: 78-54=24
Exploring Operation: 58-54=4, Resulting Numbers: [50, 78, 4]
Generated Node #0,1: 84:[50, 78, 4] Operation: 58-54=4
Exploring Operation: 54-50=4, Resulting Numbers: [58, 78, 4]
Generated Node #0,2: 84:[58, 78, 4] Operation: 54-50=4
Exploring Operation: 58-50=8, Resulting Numbers: [78, 54, 8]
Generated Node #0,3: 84:[78, 54, 8] Operation: 58-50=8
Exploring Operation: 78-58=20, Resulting Numbers: [50, 54, 20]
Generated Node #0,4: 84:[50, 54, 20] Operation: 78-58=20
Moving to Node #0,1
Current State: 84:[50, 78, 4], Operations: ['58-54=4']
Exploring Operation: 50-4=46, Resulting Numbers: [78, 46]
Generated Node #0,1,0: 84:[78, 46] Operation: 50-4=46
Exploring Operation: 78-50=28, Resulting Numbers: [4, 28]
Generated Node #0,1,1: 84:[4, 28] Operation: 78-50=28
Exploring Operation: 78+4=82, Resulting Numbers: [50, 82]
Generated Node #0,1,2: 84:[50, 82] Operation: 78+4=82
Exploring Operation: 50+4=54, Resulting Numbers: [78, 54]
Generated Node #0,1,3: 84:[78, 54] Operation: 50+4=54
Exploring Operation: 78-4=74, Resulting Numbers: [50, 74]
Generated Node #0,1,4: 84:[50, 74] Operation: 78-4=74
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 84:[4, 28], Operations: ['58-54=4', '78-50=28']
Exploring Operation: 4*28=112, Resulting Numbers: [112]
112,84 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,84 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,84 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:[78, 46], Operations: ['58-54=4', '50-4=46']
Exploring Operation: 78+46=124, Resulting Numbers: [124]
124,84 unequal: No Solution
Exploring Operation: 78-46=32, Resulting Numbers: [32]
32,84 unequal: No Solution
Exploring Operation: 78*46=3588, Resulting Numbers: [3588]
3588,84 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:[50, 82], Operations: ['58-54=4', '78+4=82']
Exploring Operation: 50+82=132, Resulting Numbers: [132]
132,84 unequal: No Solution
Exploring Operation: 50*82=4100, Resulting Numbers: [4100]
4100,84 unequal: No Solution
Exploring Operation: 82-50=32, Resulting Numbers: [32]
32,84 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 #0,1,3
Current State: 84:[78, 54], Operations: ['58-54=4', '50+4=54']
Exploring Operation: 78-54=24, Resulting Numbers: [24]
24,84 unequal: No Solution
Exploring Operation: 78*54=4212, Resulting Numbers: [4212]
4212,84 unequal: No Solution
Exploring Operation: 78+54=132, Resulting Numbers: [132]
132,84 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 #0,1,4
Current State: 84:[50, 74], Operations: ['58-54=4', '78-4=74']
Exploring Operation: 50+74=124, Resulting Numbers: [124]
124,84 unequal: No Solution
Exploring Operation: 50*74=3700, Resulting Numbers: [3700]
3700,84 unequal: No Solution
Exploring Operation: 74-50=24, Resulting Numbers: [24]
24,84 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:[78, 54, 8], Operations: ['58-50=8']
Exploring Operation: 78-54=24, Resulting Numbers: [8, 24]
Generated Node #0,3,0: 84:[8, 24] Operation: 78-54=24
Exploring Operation: 78-8=70, Resulting Numbers: [54, 70]
Generated Node #0,3,1: 84:[54, 70] Operation: 78-8=70
Exploring Operation: 54+8=62, Resulting Numbers: [78, 62]
Generated Node #0,3,2: 84:[78, 62] Operation: 54+8=62
Exploring Operation: 78+8=86, Resulting Numbers: [54, 86]
Generated Node #0,3,3: 84:[54, 86] Operation: 78+8=86
Exploring Operation: 54-8=46, Resulting Numbers: [78, 46]
Generated Node #0,3,4: 84:[78, 46] Operation: 54-8=46
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 84:[8, 24], Operations: ['58-50=8', '78-54=24']
Exploring Operation: 8*24=192, Resulting Numbers: [192]
192,84 unequal: No Solution
Exploring Operation: 8+24=32, Resulting Numbers: [32]
32,84 unequal: No Solution
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,84 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 #0,3,4
Current State: 84:[78, 46], Operations: ['58-50=8', '54-8=46']
Exploring Operation: 78+46=124, Resulting Numbers: [124]
124,84 unequal: No Solution
Exploring Operation: 78*46=3588, Resulting Numbers: [3588]
3588,84 unequal: No Solution
Exploring Operation: 78-46=32, Resulting Numbers: [32]
32,84 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 #0,3,3
Current State: 84:[54, 86], Operations: ['58-50=8', '78+8=86']
Exploring Operation: 86-54=32, Resulting Numbers: [32]
32,84 unequal: No Solution
Exploring Operation: 54*86=4644, Resulting Numbers: [4644]
4644,84 unequal: No Solution
Exploring Operation: 54+86=140, Resulting Numbers: [140]
140,84 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 #0,3,1
Current State: 84:[54, 70], Operations: ['58-50=8', '78-8=70']
Exploring Operation: 54*70=3780, Resulting Numbers: [3780]
3780,84 unequal: No Solution
Exploring Operation: 54+70=124, Resulting Numbers: [124]
124,84 unequal: No Solution
Exploring Operation: 70-54=16, Resulting Numbers: [16]
16,84 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 #0,3,2
Current State: 84:[78, 62], Operations: ['58-50=8', '54+8=62']
Exploring Operation: 78+62=140, Resulting Numbers: [140]
140,84 unequal: No Solution
Exploring Operation: 78*62=4836, Resulting Numbers: [4836]
4836,84 unequal: No Solution
Exploring Operation: 78-62=16, Resulting Numbers: [16]
16,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 84:[50, 54, 20], Operations: ['78-58=20']
Exploring Operation: 54-20=34, Resulting Numbers: [50, 34]
Generated Node #0,4,0: 84:[50, 34] Operation: 54-20=34
Exploring Operation: 50-20=30, Resulting Numbers: [54, 30]
Generated Node #0,4,1: 84:[54, 30] Operation: 50-20=30
Exploring Operation: 50+54=104, Resulting Numbers: [20, 104]
Generated Node #0,4,2: 84:[20, 104] Operation: 50+54=104
Exploring Operation: 54+20=74, Resulting Numbers: [50, 74]
Generated Node #0,4,3: 84:[50, 74] Operation: 54+20=74
Exploring Operation: 54-50=4, Resulting Numbers: [20, 4]
Generated Node #0,4,4: 84:[20, 4] Operation: 54-50=4
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 84:[20, 4], Operations: ['78-58=20', '54-50=4']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,84 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,84 unequal: No Solution
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,84 unequal: No Solution
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,84 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 #0,4,0
Current State: 84:[50, 34], Operations: ['78-58=20', '54-20=34']
Exploring Operation: 50+34=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[58, 50, 78, 54], Operations: []
Exploring Operation: 78-58=20, Resulting Numbers: [50, 54, 20]
Generated Node #0,4: 84:[50, 54, 20] Operation: 78-58=20
Moving to Node #0,4
Current State: 84:[50, 54, 20], Operations: ['78-58=20']
Exploring Operation: 54-20=34, Resulting Numbers: [50, 34]
Generated Node #0,4,0: 84:[50, 34] Operation: 54-20=34
Moving to Node #0,4,0
Current State: 84:[50, 34], Operations: ['78-58=20', '54-20=34']
Exploring Operation: 50+34=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.947049 | hs_5 | sum_heuristic |
[
44,
86,
43,
20
] | 84 | [
"86/43=2",
"20*2=40",
"44+40=84"
] | Current State: 84:[44, 86, 43, 20], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [44, 20, 2]
Generated Node #2: [44, 20, 2] from Operation: 86/43=2
Current State: 84:[44, 20, 2], Operations: ['86/43=2']
Exploring Operation: 20*2=40, Resulting Numbers: [44, 40]
Generated Node #3: [44, 40] from Operation: 20*2=40
Current State: 84:[44, 40], Operations: ['86/43=2', '20*2=40']
Exploring Operation: 44+40=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[44, 86, 43, 20], Operations: []
Exploring Operation: 86-44=42, Resulting Numbers: [43, 20, 42]
Generated Node #0,0: 84:[43, 20, 42] Operation: 86-44=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[43, 20, 42], Operations: ['86-44=42']
Exploring Operation: 43-20=23, Resulting Numbers: [42, 23]
Generated Node #0,0,0: 84:[42, 23] Operation: 43-20=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[42, 23], Operations: ['86-44=42', '43-20=23']
Exploring Operation: 42-23=19, Resulting Numbers: [19]
19,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
8,
5,
70,
3
] | 89 | [
"8*3=24",
"70-5=65",
"24+65=89"
] | Current State: 89:[8, 5, 70, 3], Operations: []
Exploring Operation: 8*3=24, Resulting Numbers: [5, 70, 24]
Generated Node #2: [5, 70, 24] from Operation: 8*3=24
Current State: 89:[5, 70, 24], Operations: ['8*3=24']
Exploring Operation: 70-5=65, Resulting Numbers: [24, 65]
Generated Node #3: [24, 65] from Operation: 70-5=65
Current State: 89:[24, 65], Operations: ['8*3=24', '70-5=65']
Exploring Operation: 24+65=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[8, 5, 70, 3], Operations: []
Exploring Operation: 8*5=40, Resulting Numbers: [70, 3, 40]
Generated Node #0,0: 89:[70, 3, 40] Operation: 8*5=40
Exploring Operation: 8*3=24, Resulting Numbers: [5, 70, 24]
Generated Node #0,1: 89:[5, 70, 24] Operation: 8*3=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[70, 3, 40], Operations: ['8*5=40']
Exploring Operation: 70+3=73, Resulting Numbers: [40, 73]
Generated Node #0,0,0: 89:[40, 73] Operation: 70+3=73
Exploring Operation: 3*40=120, Resulting Numbers: [70, 120]
Generated Node #0,0,1: 89:[70, 120] Operation: 3*40=120
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[70, 120], Operations: ['8*5=40', '3*40=120']
Exploring Operation: 120-70=50, Resulting Numbers: [50]
50,89 unequal: No Solution
Exploring Operation: 70+120=190, Resulting Numbers: [190]
190,89 unequal: No Solution
No 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: 89:[40, 73], Operations: ['8*5=40', '70+3=73']
Exploring Operation: 73-40=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 40+73=113, Resulting Numbers: [113]
113,89 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: 89:[5, 70, 24], Operations: ['8*3=24']
Exploring Operation: 5*24=120, Resulting Numbers: [70, 120]
Generated Node #0,1,0: 89:[70, 120] Operation: 5*24=120
Exploring Operation: 5+70=75, Resulting Numbers: [24, 75]
Generated Node #0,1,1: 89:[24, 75] Operation: 5+70=75
Moving to Node #0,1,0
Current State: 89:[70, 120], Operations: ['8*3=24', '5*24=120']
Exploring Operation: 70+120=190, Resulting Numbers: [190]
190,89 unequal: No Solution
Exploring Operation: 120-70=50, Resulting Numbers: [50]
50,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[24, 75], Operations: ['8*3=24', '5+70=75']
Exploring Operation: 75-24=51, Resulting Numbers: [51]
51,89 unequal: No Solution
Exploring Operation: 24+75=99, Resulting Numbers: [99]
99,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
90,
88,
5,
84
] | 58 | [
"90-84=6",
"5*6=30",
"88-30=58"
] | Current State: 58:[90, 88, 5, 84], Operations: []
Exploring Operation: 90-84=6, Resulting Numbers: [88, 5, 6]
Generated Node #2: [88, 5, 6] from Operation: 90-84=6
Current State: 58:[88, 5, 6], Operations: ['90-84=6']
Exploring Operation: 5*6=30, Resulting Numbers: [88, 30]
Generated Node #3: [88, 30] from Operation: 5*6=30
Current State: 58:[88, 30], Operations: ['90-84=6', '5*6=30']
Exploring Operation: 88-30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[90, 88, 5, 84], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [90, 5, 4]
Generated Node #0,0: 58:[90, 5, 4] Operation: 88-84=4
Exploring Operation: 90-88=2, Resulting Numbers: [5, 84, 2]
Generated Node #0,1: 58:[5, 84, 2] Operation: 90-88=2
Exploring Operation: 90-84=6, Resulting Numbers: [88, 5, 6]
Generated Node #0,2: 58:[88, 5, 6] Operation: 90-84=6
Moving to Node #0,1
Current State: 58:[5, 84, 2], Operations: ['90-88=2']
Exploring Operation: 84/2=42, Resulting Numbers: [5, 42]
Generated Node #0,1,0: 58:[5, 42] Operation: 84/2=42
Exploring Operation: 5-2=3, Resulting Numbers: [84, 3]
Generated Node #0,1,1: 58:[84, 3] Operation: 5-2=3
Exploring Operation: 84-5=79, Resulting Numbers: [2, 79]
Generated Node #0,1,2: 58:[2, 79] Operation: 84-5=79
Moving to Node #0,0
Current State: 58:[90, 5, 4], Operations: ['88-84=4']
Exploring Operation: 90-4=86, Resulting Numbers: [5, 86]
Generated Node #0,0,0: 58:[5, 86] Operation: 90-4=86
Exploring Operation: 90/5=18, Resulting Numbers: [4, 18]
Generated Node #0,0,1: 58:[4, 18] Operation: 90/5=18
Exploring Operation: 90-5=85, Resulting Numbers: [4, 85]
Generated Node #0,0,2: 58:[4, 85] Operation: 90-5=85
Moving to Node #0,2
Current State: 58:[88, 5, 6], Operations: ['90-84=6']
Exploring Operation: 88-5=83, Resulting Numbers: [6, 83]
Generated Node #0,2,0: 58:[6, 83] Operation: 88-5=83
Exploring Operation: 5*6=30, Resulting Numbers: [88, 30]
Generated Node #0,2,1: 58:[88, 30] Operation: 5*6=30
Exploring Operation: 88-6=82, Resulting Numbers: [5, 82]
Generated Node #0,2,2: 58:[5, 82] Operation: 88-6=82
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 58:[5, 82], Operations: ['90-84=6', '88-6=82']
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,58 unequal: No Solution
Exploring Operation: 5*82=410, Resulting Numbers: [410]
410,58 unequal: No Solution
Exploring Operation: 5+82=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 #0,2,0
Current State: 58:[6, 83], Operations: ['90-84=6', '88-5=83']
Exploring Operation: 6*83=498, Resulting Numbers: [498]
498,58 unequal: No Solution
Exploring Operation: 83-6=77, Resulting Numbers: [77]
77,58 unequal: No Solution
Exploring Operation: 6+83=89, Resulting Numbers: [89]
89,58 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 #0,2,1
Current State: 58:[88, 30], Operations: ['90-84=6', '5*6=30']
Exploring Operation: 88*30=2640, Resulting Numbers: [2640]
2640,58 unequal: No Solution
Exploring Operation: 88+30=118, Resulting Numbers: [118]
118,58 unequal: No Solution
Exploring Operation: 88-30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[90, 88, 5, 84], Operations: []
Exploring Operation: 90-84=6, Resulting Numbers: [88, 5, 6]
Generated Node #0,2: 58:[88, 5, 6] Operation: 90-84=6
Moving to Node #0,2
Current State: 58:[88, 5, 6], Operations: ['90-84=6']
Exploring Operation: 5*6=30, Resulting Numbers: [88, 30]
Generated Node #0,2,1: 58:[88, 30] Operation: 5*6=30
Moving to Node #0,2,1
Current State: 58:[88, 30], Operations: ['90-84=6', '5*6=30']
Exploring Operation: 88-30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_3 | mult_heuristic |
[
43,
98,
82,
2
] | 35 | [
"98-82=16",
"16/2=8",
"43-8=35"
] | Current State: 35:[43, 98, 82, 2], Operations: []
Exploring Operation: 98-82=16, Resulting Numbers: [43, 2, 16]
Generated Node #2: [43, 2, 16] from Operation: 98-82=16
Current State: 35:[43, 2, 16], Operations: ['98-82=16']
Exploring Operation: 16/2=8, Resulting Numbers: [43, 8]
Generated Node #3: [43, 8] from Operation: 16/2=8
Current State: 35:[43, 8], Operations: ['98-82=16', '16/2=8']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[43, 98, 82, 2], Operations: []
Exploring Operation: 98-82=16, Resulting Numbers: [43, 2, 16]
Generated Node #0,0: 35:[43, 2, 16] Operation: 98-82=16
Moving to Node #0,0
Current State: 35:[43, 2, 16], Operations: ['98-82=16']
Exploring Operation: 16/2=8, Resulting Numbers: [43, 8]
Generated Node #0,0,0: 35:[43, 8] Operation: 16/2=8
Moving to Node #0,0,0
Current State: 35:[43, 8], Operations: ['98-82=16', '16/2=8']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[43, 98, 82, 2], Operations: []
Exploring Operation: 98-82=16, Resulting Numbers: [43, 2, 16]
Generated Node #0,0: 35:[43, 2, 16] Operation: 98-82=16
Moving to Node #0,0
Current State: 35:[43, 2, 16], Operations: ['98-82=16']
Exploring Operation: 16/2=8, Resulting Numbers: [43, 8]
Generated Node #0,0,0: 35:[43, 8] Operation: 16/2=8
Moving to Node #0,0,0
Current State: 35:[43, 8], Operations: ['98-82=16', '16/2=8']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
65,
43,
49,
11
] | 47 | [
"65-43=22",
"22/11=2",
"49-2=47"
] | Current State: 47:[65, 43, 49, 11], Operations: []
Exploring Operation: 65-43=22, Resulting Numbers: [49, 11, 22]
Generated Node #2: [49, 11, 22] from Operation: 65-43=22
Current State: 47:[49, 11, 22], Operations: ['65-43=22']
Exploring Operation: 22/11=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 22/11=2
Current State: 47:[49, 2], Operations: ['65-43=22', '22/11=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[65, 43, 49, 11], Operations: []
Exploring Operation: 43+11=54, Resulting Numbers: [65, 49, 54]
Generated Node #0,0: 47:[65, 49, 54] Operation: 43+11=54
Exploring Operation: 65-11=54, Resulting Numbers: [43, 49, 54]
Generated Node #0,1: 47:[43, 49, 54] Operation: 65-11=54
Exploring Operation: 49-11=38, Resulting Numbers: [65, 43, 38]
Generated Node #0,2: 47:[65, 43, 38] Operation: 49-11=38
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[43, 49, 54], Operations: ['65-11=54']
Exploring Operation: 49-43=6, Resulting Numbers: [54, 6]
Generated Node #0,1,0: 47:[54, 6] Operation: 49-43=6
Exploring Operation: 54-49=5, Resulting Numbers: [43, 5]
Generated Node #0,1,1: 47:[43, 5] Operation: 54-49=5
Exploring Operation: 54-43=11, Resulting Numbers: [49, 11]
Generated Node #0,1,2: 47:[49, 11] Operation: 54-43=11
Moving to Node #0,1,2
Current State: 47:[49, 11], Operations: ['65-11=54', '54-43=11']
Exploring Operation: 49*11=539, Resulting Numbers: [539]
539,47 unequal: No Solution
Exploring Operation: 49+11=60, Resulting Numbers: [60]
60,47 unequal: No Solution
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[43, 5], Operations: ['65-11=54', '54-49=5']
Exploring Operation: 43-5=38, Resulting Numbers: [38]
38,47 unequal: No Solution
Exploring Operation: 43+5=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 43*5=215, Resulting Numbers: [215]
215,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[54, 6], Operations: ['65-11=54', '49-43=6']
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 54/6=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 54+6=60, Resulting Numbers: [60]
60,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[65, 49, 54], Operations: ['43+11=54']
Exploring Operation: 65-49=16, Resulting Numbers: [54, 16]
Generated Node #0,0,0: 47:[54, 16] Operation: 65-49=16
Exploring Operation: 65-54=11, Resulting Numbers: [49, 11]
Generated Node #0,0,1: 47:[49, 11] Operation: 65-54=11
Exploring Operation: 54-49=5, Resulting Numbers: [65, 5]
Generated Node #0,0,2: 47:[65, 5] Operation: 54-49=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[54, 16], Operations: ['43+11=54', '65-49=16']
Exploring Operation: 54*16=864, Resulting Numbers: [864]
864,47 unequal: No Solution
Exploring Operation: 54+16=70, Resulting Numbers: [70]
70,47 unequal: No Solution
Exploring Operation: 54-16=38, Resulting Numbers: [38]
38,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 47:[49, 11], Operations: ['43+11=54', '65-54=11']
Exploring Operation: 49*11=539, Resulting Numbers: [539]
539,47 unequal: No Solution
Exploring Operation: 49+11=60, Resulting Numbers: [60]
60,47 unequal: No Solution
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 47:[65, 5], Operations: ['43+11=54', '54-49=5']
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,47 unequal: No Solution
Exploring Operation: 65-5=60, Resulting Numbers: [60]
60,47 unequal: No Solution
Exploring Operation: 65+5=70, Resulting Numbers: [70]
70,47 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:[65, 43, 38], Operations: ['49-11=38']
Exploring Operation: 43+38=81, Resulting Numbers: [65, 81]
Generated Node #0,2,0: 47:[65, 81] Operation: 43+38=81
Exploring Operation: 65-43=22, Resulting Numbers: [38, 22]
Generated Node #0,2,1: 47:[38, 22] Operation: 65-43=22
Exploring Operation: 65-38=27, Resulting Numbers: [43, 27]
Generated Node #0,2,2: 47:[43, 27] Operation: 65-38=27
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 47:[43, 27], Operations: ['49-11=38', '65-38=27']
Exploring Operation: 43-27=16, Resulting Numbers: [16]
16,47 unequal: No Solution
Exploring Operation: 43+27=70, Resulting Numbers: [70]
70,47 unequal: No Solution
Exploring Operation: 43*27=1161, Resulting Numbers: [1161]
1161,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 47:[38, 22], Operations: ['49-11=38', '65-43=22']
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,47 unequal: No Solution
Exploring Operation: 38*22=836, Resulting Numbers: [836]
836,47 unequal: No Solution
Exploring Operation: 38+22=60, Resulting Numbers: [60]
60,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 47:[65, 81], Operations: ['49-11=38', '43+38=81']
Exploring Operation: 65+81=146, Resulting Numbers: [146]
146,47 unequal: No Solution
Exploring Operation: 81-65=16, Resulting Numbers: [16]
16,47 unequal: No Solution
Exploring Operation: 65*81=5265, Resulting Numbers: [5265]
5265,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
42,
78,
18,
10
] | 27 | [
"42+10=52",
"78*18=1404",
"1404/52=27"
] | Current State: 27:[42, 78, 18, 10], Operations: []
Exploring Operation: 42+10=52, Resulting Numbers: [78, 18, 52]
Generated Node #2: [78, 18, 52] from Operation: 42+10=52
Current State: 27:[78, 18, 52], Operations: ['42+10=52']
Exploring Operation: 78*18=1404, Resulting Numbers: [52, 1404]
Generated Node #3: [52, 1404] from Operation: 78*18=1404
Current State: 27:[52, 1404], Operations: ['42+10=52', '78*18=1404']
Exploring Operation: 1404/52=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[42, 78, 18, 10], Operations: []
Exploring Operation: 42-18=24, Resulting Numbers: [78, 10, 24]
Generated Node #0,0: 27:[78, 10, 24] Operation: 42-18=24
Exploring Operation: 78-18=60, Resulting Numbers: [42, 10, 60]
Generated Node #0,1: 27:[42, 10, 60] Operation: 78-18=60
Exploring Operation: 78-42=36, Resulting Numbers: [18, 10, 36]
Generated Node #0,2: 27:[18, 10, 36] Operation: 78-42=36
Moving to Node #0,2
Current State: 27:[18, 10, 36], Operations: ['78-42=36']
Exploring Operation: 18-10=8, Resulting Numbers: [36, 8]
Generated Node #0,2,0: 27:[36, 8] Operation: 18-10=8
Exploring Operation: 18+10=28, Resulting Numbers: [36, 28]
Generated Node #0,2,1: 27:[36, 28] Operation: 18+10=28
Exploring Operation: 36/18=2, Resulting Numbers: [10, 2]
Generated Node #0,2,2: 27:[10, 2] Operation: 36/18=2
Moving to Node #0,1
Current State: 27:[42, 10, 60], Operations: ['78-18=60']
Exploring Operation: 60/10=6, Resulting Numbers: [42, 6]
Generated Node #0,1,0: 27:[42, 6] Operation: 60/10=6
Exploring Operation: 60-42=18, Resulting Numbers: [10, 18]
Generated Node #0,1,1: 27:[10, 18] Operation: 60-42=18
Exploring Operation: 42-10=32, Resulting Numbers: [60, 32]
Generated Node #0,1,2: 27:[60, 32] Operation: 42-10=32
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 27:[10, 18], Operations: ['78-18=60', '60-42=18']
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,27 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 27:[42, 6], Operations: ['78-18=60', '60/10=6']
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,27 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,27 unequal: No Solution
Exploring Operation: 42+6=48, Resulting Numbers: [48]
48,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 27:[60, 32], Operations: ['78-18=60', '42-10=32']
Exploring Operation: 60-32=28, Resulting Numbers: [28]
28,27 unequal: No Solution
Exploring Operation: 60*32=1920, Resulting Numbers: [1920]
1920,27 unequal: No Solution
Exploring Operation: 60+32=92, Resulting Numbers: [92]
92,27 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: 27:[78, 10, 24], Operations: ['42-18=24']
Exploring Operation: 78-10=68, Resulting Numbers: [24, 68]
Generated Node #0,0,0: 27:[24, 68] Operation: 78-10=68
Exploring Operation: 78-24=54, Resulting Numbers: [10, 54]
Generated Node #0,0,1: 27:[10, 54] Operation: 78-24=54
Exploring Operation: 24-10=14, Resulting Numbers: [78, 14]
Generated Node #0,0,2: 27:[78, 14] Operation: 24-10=14
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 27:[10, 54], Operations: ['42-18=24', '78-24=54']
Exploring Operation: 10+54=64, Resulting Numbers: [64]
64,27 unequal: No Solution
Exploring Operation: 10*54=540, Resulting Numbers: [540]
540,27 unequal: No Solution
Exploring Operation: 54-10=44, Resulting Numbers: [44]
44,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 27:[24, 68], Operations: ['42-18=24', '78-10=68']
Exploring Operation: 68-24=44, Resulting Numbers: [44]
44,27 unequal: No Solution
Exploring Operation: 24*68=1632, Resulting Numbers: [1632]
1632,27 unequal: No Solution
Exploring Operation: 24+68=92, Resulting Numbers: [92]
92,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 27:[78, 14], Operations: ['42-18=24', '24-10=14']
Exploring Operation: 78*14=1092, Resulting Numbers: [1092]
1092,27 unequal: No Solution
Exploring Operation: 78-14=64, Resulting Numbers: [64]
64,27 unequal: No Solution
Exploring Operation: 78+14=92, Resulting Numbers: [92]
92,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 27:[10, 2], Operations: ['78-42=36', '36/18=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,27 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,27 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Moving to Node #0,2,0
Current State: 27:[36, 8], Operations: ['78-42=36', '18-10=8']
Exploring Operation: 36+8=44, Resulting Numbers: [44]
44,27 unequal: No Solution
Exploring Operation: 36*8=288, Resulting Numbers: [288]
288,27 unequal: No Solution
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,27 unequal: No Solution
Moving to Node #0,2,1
Current State: 27:[36, 28], Operations: ['78-42=36', '18+10=28']
Exploring Operation: 36*28=1008, Resulting Numbers: [1008]
1008,27 unequal: No Solution
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 36+28=64, Resulting Numbers: [64]
64,27 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
43,
27,
79,
99
] | 90 | [
"43+27=70",
"99-79=20",
"70+20=90"
] | Current State: 90:[43, 27, 79, 99], Operations: []
Exploring Operation: 43+27=70, Resulting Numbers: [79, 99, 70]
Generated Node #2: [79, 99, 70] from Operation: 43+27=70
Current State: 90:[79, 99, 70], Operations: ['43+27=70']
Exploring Operation: 99-79=20, Resulting Numbers: [70, 20]
Generated Node #3: [70, 20] from Operation: 99-79=20
Current State: 90:[70, 20], Operations: ['43+27=70', '99-79=20']
Exploring Operation: 70+20=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[43, 27, 79, 99], Operations: []
Exploring Operation: 43-27=16, Resulting Numbers: [79, 99, 16]
Generated Node #0,0: 90:[79, 99, 16] Operation: 43-27=16
Exploring Operation: 79-43=36, Resulting Numbers: [27, 99, 36]
Generated Node #0,1: 90:[27, 99, 36] Operation: 79-43=36
Exploring Operation: 99-43=56, Resulting Numbers: [27, 79, 56]
Generated Node #0,2: 90:[27, 79, 56] Operation: 99-43=56
Exploring Operation: 79-27=52, Resulting Numbers: [43, 99, 52]
Generated Node #0,3: 90:[43, 99, 52] Operation: 79-27=52
Exploring Operation: 99-79=20, Resulting Numbers: [43, 27, 20]
Generated Node #0,4: 90:[43, 27, 20] Operation: 99-79=20
Start Sub Search at level 1: Moving to Node #0,4
Current State: 90:[43, 27, 20], Operations: ['99-79=20']
Exploring Operation: 43-20=23, Resulting Numbers: [27, 23]
Generated Node #0,4,0: 90:[27, 23] Operation: 43-20=23
Exploring Operation: 27-20=7, Resulting Numbers: [43, 7]
Generated Node #0,4,1: 90:[43, 7] Operation: 27-20=7
Exploring Operation: 27+20=47, Resulting Numbers: [43, 47]
Generated Node #0,4,2: 90:[43, 47] Operation: 27+20=47
Exploring Operation: 43-27=16, Resulting Numbers: [20, 16]
Generated Node #0,4,3: 90:[20, 16] Operation: 43-27=16
Exploring Operation: 43+20=63, Resulting Numbers: [27, 63]
Generated Node #0,4,4: 90:[27, 63] Operation: 43+20=63
Moving to Node #0,4,1
Current State: 90:[43, 7], Operations: ['99-79=20', '27-20=7']
Exploring Operation: 43*7=301, Resulting Numbers: [301]
301,90 unequal: No Solution
Exploring Operation: 43+7=50, Resulting Numbers: [50]
50,90 unequal: No Solution
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,90 unequal: No Solution
Moving to Node #0,4,3
Current State: 90:[20, 16], Operations: ['99-79=20', '43-27=16']
Exploring Operation: 20+16=36, Resulting Numbers: [36]
36,90 unequal: No Solution
Exploring Operation: 20*16=320, Resulting Numbers: [320]
320,90 unequal: No Solution
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,90 unequal: No Solution
Moving to Node #0,4,2
Current State: 90:[43, 47], Operations: ['99-79=20', '27+20=47']
Exploring Operation: 47-43=4, Resulting Numbers: [4]
4,90 unequal: No Solution
Exploring Operation: 43+47=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[43, 27, 79, 99], Operations: []
Exploring Operation: 99-79=20, Resulting Numbers: [43, 27, 20]
Generated Node #0,4: 90:[43, 27, 20] Operation: 99-79=20
Moving to Node #0,4
Current State: 90:[43, 27, 20], Operations: ['99-79=20']
Exploring Operation: 27+20=47, Resulting Numbers: [43, 47]
Generated Node #0,4,2: 90:[43, 47] Operation: 27+20=47
Moving to Node #0,4,2
Current State: 90:[43, 47], Operations: ['99-79=20', '27+20=47']
Exploring Operation: 43+47=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
31,
82,
3,
20
] | 96 | [
"31+82=113",
"20-3=17",
"113-17=96"
] | Current State: 96:[31, 82, 3, 20], Operations: []
Exploring Operation: 31+82=113, Resulting Numbers: [3, 20, 113]
Generated Node #2: [3, 20, 113] from Operation: 31+82=113
Current State: 96:[3, 20, 113], Operations: ['31+82=113']
Exploring Operation: 20-3=17, Resulting Numbers: [113, 17]
Generated Node #3: [113, 17] from Operation: 20-3=17
Current State: 96:[113, 17], Operations: ['31+82=113', '20-3=17']
Exploring Operation: 113-17=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[31, 82, 3, 20], Operations: []
Exploring Operation: 82+20=102, Resulting Numbers: [31, 3, 102]
Generated Node #0,0: 96:[31, 3, 102] Operation: 82+20=102
Exploring Operation: 82-31=51, Resulting Numbers: [3, 20, 51]
Generated Node #0,1: 96:[3, 20, 51] Operation: 82-31=51
Moving to Node #0,0
Current State: 96:[31, 3, 102], Operations: ['82+20=102']
Exploring Operation: 102/3=34, Resulting Numbers: [31, 34]
Generated Node #0,0,0: 96:[31, 34] Operation: 102/3=34
Exploring Operation: 102-3=99, Resulting Numbers: [31, 99]
Generated Node #0,0,1: 96:[31, 99] Operation: 102-3=99
Moving to Node #0,1
Current State: 96:[3, 20, 51], Operations: ['82-31=51']
Exploring Operation: 51-20=31, Resulting Numbers: [3, 31]
Generated Node #0,1,0: 96:[3, 31] Operation: 51-20=31
Exploring Operation: 3+20=23, Resulting Numbers: [51, 23]
Generated Node #0,1,1: 96:[51, 23] Operation: 3+20=23
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 96:[3, 31], Operations: ['82-31=51', '51-20=31']
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,96 unequal: No Solution
Exploring Operation: 3+31=34, Resulting Numbers: [34]
34,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 96:[51, 23], Operations: ['82-31=51', '3+20=23']
Exploring Operation: 51-23=28, Resulting Numbers: [28]
28,96 unequal: No Solution
Exploring Operation: 51+23=74, Resulting Numbers: [74]
74,96 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: 96:[31, 34], Operations: ['82+20=102', '102/3=34']
Exploring Operation: 34-31=3, Resulting Numbers: [3]
3,96 unequal: No Solution
Exploring Operation: 31+34=65, Resulting Numbers: [65]
65,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[31, 99], Operations: ['82+20=102', '102-3=99']
Exploring Operation: 31+99=130, Resulting Numbers: [130]
130,96 unequal: No Solution
Exploring Operation: 99-31=68, Resulting Numbers: [68]
68,96 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
90,
40,
75,
45
] | 24 | [
"90-45=45",
"40*45=1800",
"1800/75=24"
] | Current State: 24:[90, 40, 75, 45], Operations: []
Exploring Operation: 90-45=45, Resulting Numbers: [40, 75, 45]
Generated Node #2: [40, 75, 45] from Operation: 90-45=45
Current State: 24:[40, 75, 45], Operations: ['90-45=45']
Exploring Operation: 40*45=1800, Resulting Numbers: [75, 1800]
Generated Node #3: [75, 1800] from Operation: 40*45=1800
Current State: 24:[75, 1800], Operations: ['90-45=45', '40*45=1800']
Exploring Operation: 1800/75=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[90, 40, 75, 45], Operations: []
Exploring Operation: 75-45=30, Resulting Numbers: [90, 40, 30]
Generated Node #0,0: 24:[90, 40, 30] Operation: 75-45=30
Exploring Operation: 90-75=15, Resulting Numbers: [40, 45, 15]
Generated Node #0,1: 24:[40, 45, 15] Operation: 90-75=15
Exploring Operation: 90-45=45, Resulting Numbers: [40, 75, 45]
Generated Node #0,2: 24:[40, 75, 45] Operation: 90-45=45
Exploring Operation: 90/45=2, Resulting Numbers: [40, 75, 2]
Generated Node #0,3: 24:[40, 75, 2] Operation: 90/45=2
Moving to Node #0,1
Current State: 24:[40, 45, 15], Operations: ['90-75=15']
Exploring Operation: 45-15=30, Resulting Numbers: [40, 30]
Generated Node #0,1,0: 24:[40, 30] Operation: 45-15=30
Exploring Operation: 45-40=5, Resulting Numbers: [15, 5]
Generated Node #0,1,1: 24:[15, 5] Operation: 45-40=5
Exploring Operation: 40-15=25, Resulting Numbers: [45, 25]
Generated Node #0,1,2: 24:[45, 25] Operation: 40-15=25
Exploring Operation: 45/15=3, Resulting Numbers: [40, 3]
Generated Node #0,1,3: 24:[40, 3] Operation: 45/15=3
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 24:[15, 5], Operations: ['90-75=15', '45-40=5']
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,24 unequal: No Solution
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,24 unequal: No Solution
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,24 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,24 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 #0,1,3
Current State: 24:[40, 3], Operations: ['90-75=15', '45/15=3']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,24 unequal: No Solution
Exploring Operation: 40*3=120, Resulting Numbers: [120]
120,24 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 #0,1,0
Current State: 24:[40, 30], Operations: ['90-75=15', '45-15=30']
Exploring Operation: 40+30=70, Resulting Numbers: [70]
70,24 unequal: No Solution
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,24 unequal: No Solution
Exploring Operation: 40*30=1200, Resulting Numbers: [1200]
1200,24 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 #0,1,2
Current State: 24:[45, 25], Operations: ['90-75=15', '40-15=25']
Exploring Operation: 45*25=1125, Resulting Numbers: [1125]
1125,24 unequal: No Solution
Exploring Operation: 45-25=20, Resulting Numbers: [20]
20,24 unequal: No Solution
Exploring Operation: 45+25=70, Resulting Numbers: [70]
70,24 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: 24:[40, 75, 2], Operations: ['90/45=2']
Exploring Operation: 75-40=35, Resulting Numbers: [2, 35]
Generated Node #0,3,0: 24:[2, 35] Operation: 75-40=35
Exploring Operation: 75-2=73, Resulting Numbers: [40, 73]
Generated Node #0,3,1: 24:[40, 73] Operation: 75-2=73
Exploring Operation: 40/2=20, Resulting Numbers: [75, 20]
Generated Node #0,3,2: 24:[75, 20] Operation: 40/2=20
Exploring Operation: 40-2=38, Resulting Numbers: [75, 38]
Generated Node #0,3,3: 24:[75, 38] Operation: 40-2=38
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 24:[2, 35], Operations: ['90/45=2', '75-40=35']
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,24 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 #0,3,2
Current State: 24:[75, 20], Operations: ['90/45=2', '40/2=20']
Exploring Operation: 75+20=95, Resulting Numbers: [95]
95,24 unequal: No Solution
Exploring Operation: 75*20=1500, Resulting Numbers: [1500]
1500,24 unequal: No Solution
Exploring Operation: 75-20=55, Resulting Numbers: [55]
55,24 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 #0,3,1
Current State: 24:[40, 73], Operations: ['90/45=2', '75-2=73']
Exploring Operation: 73-40=33, Resulting Numbers: [33]
33,24 unequal: No Solution
Exploring Operation: 40+73=113, Resulting Numbers: [113]
113,24 unequal: No Solution
Exploring Operation: 40*73=2920, Resulting Numbers: [2920]
2920,24 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 #0,3,3
Current State: 24:[75, 38], Operations: ['90/45=2', '40-2=38']
Exploring Operation: 75+38=113, Resulting Numbers: [113]
113,24 unequal: No Solution
Exploring Operation: 75*38=2850, Resulting Numbers: [2850]
2850,24 unequal: No Solution
Exploring Operation: 75-38=37, Resulting Numbers: [37]
37,24 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: 24:[40, 75, 45], Operations: ['90-45=45']
Exploring Operation: 75-40=35, Resulting Numbers: [45, 35]
Generated Node #0,2,0: 24:[45, 35] Operation: 75-40=35
Exploring Operation: 75-45=30, Resulting Numbers: [40, 30]
Generated Node #0,2,1: 24:[40, 30] Operation: 75-45=30
Exploring Operation: 45-40=5, Resulting Numbers: [75, 5]
Generated Node #0,2,2: 24:[75, 5] Operation: 45-40=5
Exploring Operation: 40+75=115, Resulting Numbers: [45, 115]
Generated Node #0,2,3: 24:[45, 115] Operation: 40+75=115
Moving to Node #0,0
Current State: 24:[90, 40, 30], Operations: ['75-45=30']
Exploring Operation: 90/30=3, Resulting Numbers: [40, 3]
Generated Node #0,0,0: 24:[40, 3] Operation: 90/30=3
Exploring Operation: 90-30=60, Resulting Numbers: [40, 60]
Generated Node #0,0,1: 24:[40, 60] Operation: 90-30=60
Exploring Operation: 90-40=50, Resulting Numbers: [30, 50]
Generated Node #0,0,2: 24:[30, 50] Operation: 90-40=50
Exploring Operation: 40-30=10, Resulting Numbers: [90, 10]
Generated Node #0,0,3: 24:[90, 10] Operation: 40-30=10
Moving to Node #0,0,0
Current State: 24:[40, 3], Operations: ['75-45=30', '90/30=3']
Exploring Operation: 40+3=43, Resulting Numbers: [43]
43,24 unequal: No Solution
Exploring Operation: 40*3=120, Resulting Numbers: [120]
120,24 unequal: No Solution
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Moving to Node #0,2,1
Current State: 24:[40, 30], Operations: ['90-45=45', '75-45=30']
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,24 unequal: No Solution
Exploring Operation: 40+30=70, Resulting Numbers: [70]
70,24 unequal: No Solution
Exploring Operation: 40*30=1200, Resulting Numbers: [1200]
1200,24 unequal: No Solution
Moving to Node #0,0,2
Current State: 24:[30, 50], Operations: ['75-45=30', '90-40=50']
Exploring Operation: 30*50=1500, Resulting Numbers: [1500]
1500,24 unequal: No Solution
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,24 unequal: No Solution
Exploring Operation: 30+50=80, Resulting Numbers: [80]
80,24 unequal: No Solution
Moving to Node #0,2,0
Current State: 24:[45, 35], Operations: ['90-45=45', '75-40=35']
Exploring Operation: 45+35=80, Resulting Numbers: [80]
80,24 unequal: No Solution
Exploring Operation: 45-35=10, Resulting Numbers: [10]
10,24 unequal: No Solution
Exploring Operation: 45*35=1575, Resulting Numbers: [1575]
1575,24 unequal: No Solution
Moving to Node #0,2,2
Current State: 24:[75, 5], Operations: ['90-45=45', '45-40=5']
Exploring Operation: 75+5=80, Resulting Numbers: [80]
80,24 unequal: No Solution
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Exploring Operation: 75*5=375, Resulting Numbers: [375]
375,24 unequal: No Solution
Exploring Operation: 75-5=70, Resulting Numbers: [70]
70,24 unequal: No Solution
Moving to Node #0,0,1
Current State: 24:[40, 60], Operations: ['75-45=30', '90-30=60']
Exploring Operation: 40*60=2400, Resulting Numbers: [2400]
2400,24 unequal: No Solution
Exploring Operation: 60-40=20, Resulting Numbers: [20]
20,24 unequal: No Solution
Exploring Operation: 40+60=100, Resulting Numbers: [100]
100,24 unequal: No Solution
Moving to Node #0,0,3
Current State: 24:[90, 10], Operations: ['75-45=30', '40-30=10']
Exploring Operation: 90+10=100, Resulting Numbers: [100]
100,24 unequal: No Solution
Exploring Operation: 90/10=9, Resulting Numbers: [9]
9,24 unequal: No Solution
Exploring Operation: 90*10=900, Resulting Numbers: [900]
900,24 unequal: No Solution
Exploring Operation: 90-10=80, Resulting Numbers: [80]
80,24 unequal: No Solution
Moving to Node #0,2,3
Current State: 24:[45, 115], Operations: ['90-45=45', '40+75=115']
Exploring Operation: 45*115=5175, Resulting Numbers: [5175]
5175,24 unequal: No Solution
Exploring Operation: 45+115=160, Resulting Numbers: [160]
160,24 unequal: No Solution
Exploring Operation: 115-45=70, Resulting Numbers: [70]
70,24 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
14,
98,
31,
56
] | 94 | [
"98/14=7",
"31+56=87",
"7+87=94"
] | Current State: 94:[14, 98, 31, 56], Operations: []
Exploring Operation: 98/14=7, Resulting Numbers: [31, 56, 7]
Generated Node #2: [31, 56, 7] from Operation: 98/14=7
Current State: 94:[31, 56, 7], Operations: ['98/14=7']
Exploring Operation: 31+56=87, Resulting Numbers: [7, 87]
Generated Node #3: [7, 87] from Operation: 31+56=87
Current State: 94:[7, 87], Operations: ['98/14=7', '31+56=87']
Exploring Operation: 7+87=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[14, 98, 31, 56], Operations: []
Exploring Operation: 31+56=87, Resulting Numbers: [14, 98, 87]
Generated Node #0,0: 94:[14, 98, 87] Operation: 31+56=87
Exploring Operation: 56/14=4, Resulting Numbers: [98, 31, 4]
Generated Node #0,1: 94:[98, 31, 4] Operation: 56/14=4
Exploring Operation: 56-14=42, Resulting Numbers: [98, 31, 42]
Generated Node #0,2: 94:[98, 31, 42] Operation: 56-14=42
Exploring Operation: 14+31=45, Resulting Numbers: [98, 56, 45]
Generated Node #0,3: 94:[98, 56, 45] Operation: 14+31=45
Exploring Operation: 31-14=17, Resulting Numbers: [98, 56, 17]
Generated Node #0,4: 94:[98, 56, 17] Operation: 31-14=17
Moving to Node #0,3
Current State: 94:[98, 56, 45], Operations: ['14+31=45']
Exploring Operation: 98+45=143, Resulting Numbers: [56, 143]
Generated Node #0,3,0: 94:[56, 143] Operation: 98+45=143
Exploring Operation: 98-45=53, Resulting Numbers: [56, 53]
Generated Node #0,3,1: 94:[56, 53] Operation: 98-45=53
Exploring Operation: 98-56=42, Resulting Numbers: [45, 42]
Generated Node #0,3,2: 94:[45, 42] Operation: 98-56=42
Exploring Operation: 56+45=101, Resulting Numbers: [98, 101]
Generated Node #0,3,3: 94:[98, 101] Operation: 56+45=101
Exploring Operation: 56-45=11, Resulting Numbers: [98, 11]
Generated Node #0,3,4: 94:[98, 11] Operation: 56-45=11
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 94:[45, 42], Operations: ['14+31=45', '98-56=42']
Exploring Operation: 45*42=1890, Resulting Numbers: [1890]
1890,94 unequal: No Solution
Exploring Operation: 45+42=87, Resulting Numbers: [87]
87,94 unequal: No Solution
Exploring Operation: 45-42=3, Resulting Numbers: [3]
3,94 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 #0,3,3
Current State: 94:[98, 101], Operations: ['14+31=45', '56+45=101']
Exploring Operation: 98+101=199, Resulting Numbers: [199]
199,94 unequal: No Solution
Exploring Operation: 101-98=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 98*101=9898, Resulting Numbers: [9898]
9898,94 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 #0,3,4
Current State: 94:[98, 11], Operations: ['14+31=45', '56-45=11']
Exploring Operation: 98+11=109, Resulting Numbers: [109]
109,94 unequal: No Solution
Exploring Operation: 98-11=87, Resulting Numbers: [87]
87,94 unequal: No Solution
Exploring Operation: 98*11=1078, Resulting Numbers: [1078]
1078,94 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 #0,3,1
Current State: 94:[56, 53], Operations: ['14+31=45', '98-45=53']
Exploring Operation: 56*53=2968, Resulting Numbers: [2968]
2968,94 unequal: No Solution
Exploring Operation: 56-53=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 56+53=109, Resulting Numbers: [109]
109,94 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 #0,3,0
Current State: 94:[56, 143], Operations: ['14+31=45', '98+45=143']
Exploring Operation: 56+143=199, Resulting Numbers: [199]
199,94 unequal: No Solution
Exploring Operation: 56*143=8008, Resulting Numbers: [8008]
8008,94 unequal: No Solution
Exploring Operation: 143-56=87, Resulting Numbers: [87]
87,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 94:[98, 31, 4], Operations: ['56/14=4']
Exploring Operation: 31+4=35, Resulting Numbers: [98, 35]
Generated Node #0,1,0: 94:[98, 35] Operation: 31+4=35
Exploring Operation: 98-4=94, Resulting Numbers: [31, 94]
Generated Node #0,1,1: 94:[31, 94] Operation: 98-4=94
Exploring Operation: 31-4=27, Resulting Numbers: [98, 27]
Generated Node #0,1,2: 94:[98, 27] Operation: 31-4=27
Exploring Operation: 98-31=67, Resulting Numbers: [4, 67]
Generated Node #0,1,3: 94:[4, 67] Operation: 98-31=67
Exploring Operation: 98+4=102, Resulting Numbers: [31, 102]
Generated Node #0,1,4: 94:[31, 102] Operation: 98+4=102
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[98, 35], Operations: ['56/14=4', '31+4=35']
Exploring Operation: 98-35=63, Resulting Numbers: [63]
63,94 unequal: No Solution
Exploring Operation: 98*35=3430, Resulting Numbers: [3430]
3430,94 unequal: No Solution
Exploring Operation: 98+35=133, Resulting Numbers: [133]
133,94 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:[31, 94], Operations: ['56/14=4', '98-4=94']
Exploring Operation: 94-31=63, Resulting Numbers: [63]
63,94 unequal: No Solution
Exploring Operation: 31+94=125, Resulting Numbers: [125]
125,94 unequal: No Solution
Exploring Operation: 31*94=2914, Resulting Numbers: [2914]
2914,94 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 #0,1,3
Current State: 94:[4, 67], Operations: ['56/14=4', '98-31=67']
Exploring Operation: 67-4=63, Resulting Numbers: [63]
63,94 unequal: No Solution
Exploring Operation: 4+67=71, Resulting Numbers: [71]
71,94 unequal: No Solution
Exploring Operation: 4*67=268, Resulting Numbers: [268]
268,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 94:[98, 27], Operations: ['56/14=4', '31-4=27']
Exploring Operation: 98-27=71, Resulting Numbers: [71]
71,94 unequal: No Solution
Exploring Operation: 98*27=2646, Resulting Numbers: [2646]
2646,94 unequal: No Solution
Exploring Operation: 98+27=125, Resulting Numbers: [125]
125,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 94:[31, 102], Operations: ['56/14=4', '98+4=102']
Exploring Operation: 102-31=71, Resulting Numbers: [71]
71,94 unequal: No Solution
Exploring Operation: 31+102=133, Resulting Numbers: [133]
133,94 unequal: No Solution
Exploring Operation: 31*102=3162, Resulting Numbers: [3162]
3162,94 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: 94:[14, 98, 87], Operations: ['31+56=87']
Exploring Operation: 14+87=101, Resulting Numbers: [98, 101]
Generated Node #0,0,0: 94:[98, 101] Operation: 14+87=101
Exploring Operation: 98-14=84, Resulting Numbers: [87, 84]
Generated Node #0,0,1: 94:[87, 84] Operation: 98-14=84
Exploring Operation: 14+98=112, Resulting Numbers: [87, 112]
Generated Node #0,0,2: 94:[87, 112] Operation: 14+98=112
Exploring Operation: 98-87=11, Resulting Numbers: [14, 11]
Generated Node #0,0,3: 94:[14, 11] Operation: 98-87=11
Exploring Operation: 98/14=7, Resulting Numbers: [87, 7]
Generated Node #0,0,4: 94:[87, 7] Operation: 98/14=7
Moving to Node #0,2
Current State: 94:[98, 31, 42], Operations: ['56-14=42']
Exploring Operation: 31+42=73, Resulting Numbers: [98, 73]
Generated Node #0,2,0: 94:[98, 73] Operation: 31+42=73
Exploring Operation: 98-31=67, Resulting Numbers: [42, 67]
Generated Node #0,2,1: 94:[42, 67] Operation: 98-31=67
Exploring Operation: 98+31=129, Resulting Numbers: [42, 129]
Generated Node #0,2,2: 94:[42, 129] Operation: 98+31=129
Exploring Operation: 42-31=11, Resulting Numbers: [98, 11]
Generated Node #0,2,3: 94:[98, 11] Operation: 42-31=11
Exploring Operation: 98-42=56, Resulting Numbers: [31, 56]
Generated Node #0,2,4: 94:[31, 56] Operation: 98-42=56
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 94:[98, 11], Operations: ['56-14=42', '42-31=11']
Exploring Operation: 98+11=109, Resulting Numbers: [109]
109,94 unequal: No Solution
Exploring Operation: 98*11=1078, Resulting Numbers: [1078]
1078,94 unequal: No Solution
Exploring Operation: 98-11=87, Resulting Numbers: [87]
87,94 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 #0,2,0
Current State: 94:[98, 73], Operations: ['56-14=42', '31+42=73']
Exploring Operation: 98-73=25, Resulting Numbers: [25]
25,94 unequal: No Solution
Exploring Operation: 98*73=7154, Resulting Numbers: [7154]
7154,94 unequal: No Solution
Exploring Operation: 98+73=171, Resulting Numbers: [171]
171,94 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 #0,2,1
Current State: 94:[42, 67], Operations: ['56-14=42', '98-31=67']
Exploring Operation: 42*67=2814, Resulting Numbers: [2814]
2814,94 unequal: No Solution
Exploring Operation: 67-42=25, Resulting Numbers: [25]
25,94 unequal: No Solution
Exploring Operation: 42+67=109, Resulting Numbers: [109]
109,94 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 #0,2,4
Current State: 94:[31, 56], Operations: ['56-14=42', '98-42=56']
Exploring Operation: 56-31=25, Resulting Numbers: [25]
25,94 unequal: No Solution
Exploring Operation: 31*56=1736, Resulting Numbers: [1736]
1736,94 unequal: No Solution
Exploring Operation: 31+56=87, Resulting Numbers: [87]
87,94 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 #0,2,2
Current State: 94:[42, 129], Operations: ['56-14=42', '98+31=129']
Exploring Operation: 42+129=171, Resulting Numbers: [171]
171,94 unequal: No Solution
Exploring Operation: 129-42=87, Resulting Numbers: [87]
87,94 unequal: No Solution
Exploring Operation: 42*129=5418, Resulting Numbers: [5418]
5418,94 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: 94:[98, 56, 17], Operations: ['31-14=17']
Exploring Operation: 56+17=73, Resulting Numbers: [98, 73]
Generated Node #0,4,0: 94:[98, 73] Operation: 56+17=73
Exploring Operation: 56-17=39, Resulting Numbers: [98, 39]
Generated Node #0,4,1: 94:[98, 39] Operation: 56-17=39
Exploring Operation: 98-56=42, Resulting Numbers: [17, 42]
Generated Node #0,4,2: 94:[17, 42] Operation: 98-56=42
Exploring Operation: 98-17=81, Resulting Numbers: [56, 81]
Generated Node #0,4,3: 94:[56, 81] Operation: 98-17=81
Exploring Operation: 98+17=115, Resulting Numbers: [56, 115]
Generated Node #0,4,4: 94:[56, 115] Operation: 98+17=115
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 94:[98, 39], Operations: ['31-14=17', '56-17=39']
Exploring Operation: 98*39=3822, Resulting Numbers: [3822]
3822,94 unequal: No Solution
Exploring Operation: 98-39=59, Resulting Numbers: [59]
59,94 unequal: No Solution
Exploring Operation: 98+39=137, Resulting Numbers: [137]
137,94 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 #0,4,2
Current State: 94:[17, 42], Operations: ['31-14=17', '98-56=42']
Exploring Operation: 17*42=714, Resulting Numbers: [714]
714,94 unequal: No Solution
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,94 unequal: No Solution
Exploring Operation: 17+42=59, Resulting Numbers: [59]
59,94 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 #0,4,3
Current State: 94:[56, 81], Operations: ['31-14=17', '98-17=81']
Exploring Operation: 56*81=4536, Resulting Numbers: [4536]
4536,94 unequal: No Solution
Exploring Operation: 81-56=25, Resulting Numbers: [25]
25,94 unequal: No Solution
Exploring Operation: 56+81=137, Resulting Numbers: [137]
137,94 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 #0,4,0
Current State: 94:[98, 73], Operations: ['31-14=17', '56+17=73']
Exploring Operation: 98*73=7154, Resulting Numbers: [7154]
7154,94 unequal: No Solution
Exploring Operation: 98-73=25, Resulting Numbers: [25]
25,94 unequal: No Solution
Exploring Operation: 98+73=171, Resulting Numbers: [171]
171,94 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 #0,4,4
Current State: 94:[56, 115], Operations: ['31-14=17', '98+17=115']
Exploring Operation: 115-56=59, Resulting Numbers: [59]
59,94 unequal: No Solution
Exploring Operation: 56*115=6440, Resulting Numbers: [6440]
6440,94 unequal: No Solution
Exploring Operation: 56+115=171, Resulting Numbers: [171]
171,94 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:[98, 101], Operations: ['31+56=87', '14+87=101']
Exploring Operation: 101-98=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 98+101=199, Resulting Numbers: [199]
199,94 unequal: No Solution
Exploring Operation: 98*101=9898, Resulting Numbers: [9898]
9898,94 unequal: No Solution
Moving to Node #0,0,4
Current State: 94:[87, 7], Operations: ['31+56=87', '98/14=7']
Exploring Operation: 87*7=609, Resulting Numbers: [609]
609,94 unequal: No Solution
Exploring Operation: 87-7=80, Resulting Numbers: [80]
80,94 unequal: No Solution
Exploring Operation: 87+7=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[14, 98, 31, 56], Operations: []
Exploring Operation: 31+56=87, Resulting Numbers: [14, 98, 87]
Generated Node #0,0: 94:[14, 98, 87] Operation: 31+56=87
Moving to Node #0,0
Current State: 94:[14, 98, 87], Operations: ['31+56=87']
Exploring Operation: 98/14=7, Resulting Numbers: [87, 7]
Generated Node #0,0,4: 94:[87, 7] Operation: 98/14=7
Moving to Node #0,0,4
Current State: 94:[87, 7], Operations: ['31+56=87', '98/14=7']
Exploring Operation: 87+7=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 0.913194 | hs_5 | sum_heuristic |
[
64,
65,
57,
1
] | 56 | [
"65-64=1",
"57*1=57",
"57-1=56"
] | Current State: 56:[64, 65, 57, 1], Operations: []
Exploring Operation: 65-64=1, Resulting Numbers: [57, 1, 1]
Generated Node #2: [57, 1, 1] from Operation: 65-64=1
Current State: 56:[57, 1, 1], Operations: ['65-64=1']
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,56 equal: Goal Reached
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[64, 65, 57, 1], Operations: []
Exploring Operation: 65-57=8, Resulting Numbers: [64, 1, 8]
Generated Node #0,0: 56:[64, 1, 8] Operation: 65-57=8
Exploring Operation: 64-1=63, Resulting Numbers: [65, 57, 63]
Generated Node #0,1: 56:[65, 57, 63] Operation: 64-1=63
Exploring Operation: 65-1=64, Resulting Numbers: [64, 57, 64]
Generated Node #0,2: 56:[64, 57, 64] Operation: 65-1=64
Exploring Operation: 65-64=1, Resulting Numbers: [57, 1, 1]
Generated Node #0,3: 56:[57, 1, 1] Operation: 65-64=1
Exploring Operation: 64-57=7, Resulting Numbers: [65, 1, 7]
Generated Node #0,4: 56:[65, 1, 7] Operation: 64-57=7
Moving to Node #0,3
Current State: 56:[57, 1, 1], Operations: ['65-64=1']
Exploring Operation: 57-1=56, Resulting Numbers: [1, 56]
Generated Node #0,3,0: 56:[1, 56] Operation: 57-1=56
Exploring Operation: 57-1=56, Resulting Numbers: [1, 56]
Generated Node #0,3,1: 56:[1, 56] Operation: 57-1=56
Exploring Operation: 1+1=2, Resulting Numbers: [57, 2]
Generated Node #0,3,2: 56:[57, 2] Operation: 1+1=2
Exploring Operation: 57/1=57, Resulting Numbers: [1, 57]
Generated Node #0,3,3: 56:[1, 57] Operation: 57/1=57
Exploring Operation: 57*1=57, Resulting Numbers: [1, 57]
Generated Node #0,3,4: 56:[1, 57] Operation: 57*1=57
Moving to Node #0,0
Current State: 56:[64, 1, 8], Operations: ['65-57=8']
Exploring Operation: 64/1=64, Resulting Numbers: [8, 64]
Generated Node #0,0,0: 56:[8, 64] Operation: 64/1=64
Exploring Operation: 64/8=8, Resulting Numbers: [1, 8]
Generated Node #0,0,1: 56:[1, 8] Operation: 64/8=8
Exploring Operation: 64*1=64, Resulting Numbers: [8, 64]
Generated Node #0,0,2: 56:[8, 64] Operation: 64*1=64
Exploring Operation: 64-1=63, Resulting Numbers: [8, 63]
Generated Node #0,0,3: 56:[8, 63] Operation: 64-1=63
Exploring Operation: 64-8=56, Resulting Numbers: [1, 56]
Generated Node #0,0,4: 56:[1, 56] Operation: 64-8=56
Moving to Node #0,4
Current State: 56:[65, 1, 7], Operations: ['64-57=7']
Exploring Operation: 1+7=8, Resulting Numbers: [65, 8]
Generated Node #0,4,0: 56:[65, 8] Operation: 1+7=8
Exploring Operation: 65-1=64, Resulting Numbers: [7, 64]
Generated Node #0,4,1: 56:[7, 64] Operation: 65-1=64
Exploring Operation: 65-7=58, Resulting Numbers: [1, 58]
Generated Node #0,4,2: 56:[1, 58] Operation: 65-7=58
Exploring Operation: 65*1=65, Resulting Numbers: [7, 65]
Generated Node #0,4,3: 56:[7, 65] Operation: 65*1=65
Exploring Operation: 65/1=65, Resulting Numbers: [7, 65]
Generated Node #0,4,4: 56:[7, 65] Operation: 65/1=65
Moving to Node #0,1
Current State: 56:[65, 57, 63], Operations: ['64-1=63']
Exploring Operation: 65-63=2, Resulting Numbers: [57, 2]
Generated Node #0,1,0: 56:[57, 2] Operation: 65-63=2
Exploring Operation: 65+57=122, Resulting Numbers: [63, 122]
Generated Node #0,1,1: 56:[63, 122] Operation: 65+57=122
Exploring Operation: 65-57=8, Resulting Numbers: [63, 8]
Generated Node #0,1,2: 56:[63, 8] Operation: 65-57=8
Exploring Operation: 63-57=6, Resulting Numbers: [65, 6]
Generated Node #0,1,3: 56:[65, 6] Operation: 63-57=6
Exploring Operation: 65+63=128, Resulting Numbers: [57, 128]
Generated Node #0,1,4: 56:[57, 128] Operation: 65+63=128
Moving to Node #0,2
Current State: 56:[64, 57, 64], Operations: ['65-1=64']
Exploring Operation: 64+57=121, Resulting Numbers: [64, 121]
Generated Node #0,2,0: 56:[64, 121] Operation: 64+57=121
Exploring Operation: 64-57=7, Resulting Numbers: [64, 7]
Generated Node #0,2,1: 56:[64, 7] Operation: 64-57=7
Exploring Operation: 64/64=1, Resulting Numbers: [57, 1]
Generated Node #0,2,2: 56:[57, 1] Operation: 64/64=1
Exploring Operation: 64-64=0, Resulting Numbers: [57, 0]
Generated Node #0,2,3: 56:[57, 0] Operation: 64-64=0
Exploring Operation: 64-57=7, Resulting Numbers: [64, 7]
Generated Node #0,2,4: 56:[64, 7] Operation: 64-57=7
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 56:[57, 1], Operations: ['65-1=64', '64/64=1']
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[64, 65, 57, 1], Operations: []
Exploring Operation: 65-1=64, Resulting Numbers: [64, 57, 64]
Generated Node #0,2: 56:[64, 57, 64] Operation: 65-1=64
Moving to Node #0,2
Current State: 56:[64, 57, 64], Operations: ['65-1=64']
Exploring Operation: 64/64=1, Resulting Numbers: [57, 1]
Generated Node #0,2,2: 56:[57, 1] Operation: 64/64=1
Moving to Node #0,2,2
Current State: 56:[57, 1], Operations: ['65-1=64', '64/64=1']
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_5 | sum_heuristic |
[
63,
78,
24,
21
] | 23 | [
"63-24=39",
"78/39=2",
"21+2=23"
] | Current State: 23:[63, 78, 24, 21], Operations: []
Exploring Operation: 63-24=39, Resulting Numbers: [78, 21, 39]
Generated Node #2: [78, 21, 39] from Operation: 63-24=39
Current State: 23:[78, 21, 39], Operations: ['63-24=39']
Exploring Operation: 78/39=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 78/39=2
Current State: 23:[21, 2], Operations: ['63-24=39', '78/39=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[63, 78, 24, 21], Operations: []
Exploring Operation: 78-63=15, Resulting Numbers: [24, 21, 15]
Generated Node #0,0: 23:[24, 21, 15] Operation: 78-63=15
Exploring Operation: 63-24=39, Resulting Numbers: [78, 21, 39]
Generated Node #0,1: 23:[78, 21, 39] Operation: 63-24=39
Exploring Operation: 78-24=54, Resulting Numbers: [63, 21, 54]
Generated Node #0,2: 23:[63, 21, 54] Operation: 78-24=54
Exploring Operation: 63-21=42, Resulting Numbers: [78, 24, 42]
Generated Node #0,3: 23:[78, 24, 42] Operation: 63-21=42
Moving to Node #0,0
Current State: 23:[24, 21, 15], Operations: ['78-63=15']
Exploring Operation: 24-15=9, Resulting Numbers: [21, 9]
Generated Node #0,0,0: 23:[21, 9] Operation: 24-15=9
Exploring Operation: 21-15=6, Resulting Numbers: [24, 6]
Generated Node #0,0,1: 23:[24, 6] Operation: 21-15=6
Exploring Operation: 21+15=36, Resulting Numbers: [24, 36]
Generated Node #0,0,2: 23:[24, 36] Operation: 21+15=36
Exploring Operation: 24+15=39, Resulting Numbers: [21, 39]
Generated Node #0,0,3: 23:[21, 39] Operation: 24+15=39
Moving to Node #0,2
Current State: 23:[63, 21, 54], Operations: ['78-24=54']
Exploring Operation: 63-54=9, Resulting Numbers: [21, 9]
Generated Node #0,2,0: 23:[21, 9] Operation: 63-54=9
Exploring Operation: 54-21=33, Resulting Numbers: [63, 33]
Generated Node #0,2,1: 23:[63, 33] Operation: 54-21=33
Exploring Operation: 63/21=3, Resulting Numbers: [54, 3]
Generated Node #0,2,2: 23:[54, 3] Operation: 63/21=3
Exploring Operation: 63-21=42, Resulting Numbers: [54, 42]
Generated Node #0,2,3: 23:[54, 42] Operation: 63-21=42
Moving to Node #0,1
Current State: 23:[78, 21, 39], Operations: ['63-24=39']
Exploring Operation: 39-21=18, Resulting Numbers: [78, 18]
Generated Node #0,1,0: 23:[78, 18] Operation: 39-21=18
Exploring Operation: 78/39=2, Resulting Numbers: [21, 2]
Generated Node #0,1,1: 23:[21, 2] Operation: 78/39=2
Exploring Operation: 78-21=57, Resulting Numbers: [39, 57]
Generated Node #0,1,2: 23:[39, 57] Operation: 78-21=57
Exploring Operation: 78-39=39, Resulting Numbers: [21, 39]
Generated Node #0,1,3: 23:[21, 39] Operation: 78-39=39
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 23:[21, 39], Operations: ['63-24=39', '78-39=39']
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,23 unequal: No Solution
Exploring Operation: 21+39=60, Resulting Numbers: [60]
60,23 unequal: No Solution
Exploring Operation: 21*39=819, Resulting Numbers: [819]
819,23 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 #0,1,1
Current State: 23:[21, 2], Operations: ['63-24=39', '78/39=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,23 unequal: No Solution
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[63, 78, 24, 21], Operations: []
Exploring Operation: 63-24=39, Resulting Numbers: [78, 21, 39]
Generated Node #0,1: 23:[78, 21, 39] Operation: 63-24=39
Moving to Node #0,1
Current State: 23:[78, 21, 39], Operations: ['63-24=39']
Exploring Operation: 78/39=2, Resulting Numbers: [21, 2]
Generated Node #0,1,1: 23:[21, 2] Operation: 78/39=2
Moving to Node #0,1,1
Current State: 23:[21, 2], Operations: ['63-24=39', '78/39=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_4 | mult_heuristic |
[
24,
60,
22,
57
] | 48 | [
"24*57=1368",
"60*22=1320",
"1368-1320=48"
] | Current State: 48:[24, 60, 22, 57], Operations: []
Exploring Operation: 24*57=1368, Resulting Numbers: [60, 22, 1368]
Generated Node #2: [60, 22, 1368] from Operation: 24*57=1368
Current State: 48:[60, 22, 1368], Operations: ['24*57=1368']
Exploring Operation: 60*22=1320, Resulting Numbers: [1368, 1320]
Generated Node #3: [1368, 1320] from Operation: 60*22=1320
Current State: 48:[1368, 1320], Operations: ['24*57=1368', '60*22=1320']
Exploring Operation: 1368-1320=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[24, 60, 22, 57], Operations: []
Exploring Operation: 60-22=38, Resulting Numbers: [24, 57, 38]
Generated Node #0,0: 48:[24, 57, 38] Operation: 60-22=38
Exploring Operation: 60-57=3, Resulting Numbers: [24, 22, 3]
Generated Node #0,1: 48:[24, 22, 3] Operation: 60-57=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[24, 22, 3], Operations: ['60-57=3']
Exploring Operation: 22+3=25, Resulting Numbers: [24, 25]
Generated Node #0,1,0: 48:[24, 25] Operation: 22+3=25
Exploring Operation: 24-22=2, Resulting Numbers: [3, 2]
Generated Node #0,1,1: 48:[3, 2] Operation: 24-22=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 48:[3, 2], Operations: ['60-57=3', '24-22=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 48:[24, 25], Operations: ['60-57=3', '22+3=25']
Exploring Operation: 24+25=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[24, 57, 38], Operations: ['60-22=38']
Exploring Operation: 38-24=14, Resulting Numbers: [57, 14]
Generated Node #0,0,0: 48:[57, 14] Operation: 38-24=14
Exploring Operation: 57-38=19, Resulting Numbers: [24, 19]
Generated Node #0,0,1: 48:[24, 19] Operation: 57-38=19
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 48:[24, 19], Operations: ['60-22=38', '57-38=19']
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,48 unequal: No Solution
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[57, 14], Operations: ['60-22=38', '38-24=14']
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 57+14=71, Resulting Numbers: [71]
71,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
45,
40,
51,
9
] | 90 | [
"51-40=11",
"11-9=2",
"45*2=90"
] | Current State: 90:[45, 40, 51, 9], Operations: []
Exploring Operation: 51-40=11, Resulting Numbers: [45, 9, 11]
Generated Node #2: [45, 9, 11] from Operation: 51-40=11
Current State: 90:[45, 9, 11], Operations: ['51-40=11']
Exploring Operation: 11-9=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 11-9=2
Current State: 90:[45, 2], Operations: ['51-40=11', '11-9=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[45, 40, 51, 9], Operations: []
Exploring Operation: 40+51=91, Resulting Numbers: [45, 9, 91]
Generated Node #0,0: 90:[45, 9, 91] Operation: 40+51=91
Exploring Operation: 51-40=11, Resulting Numbers: [45, 9, 11]
Generated Node #0,1: 90:[45, 9, 11] Operation: 51-40=11
Exploring Operation: 45-40=5, Resulting Numbers: [51, 9, 5]
Generated Node #0,2: 90:[51, 9, 5] Operation: 45-40=5
Exploring Operation: 51-45=6, Resulting Numbers: [40, 9, 6]
Generated Node #0,3: 90:[40, 9, 6] Operation: 51-45=6
Exploring Operation: 40-9=31, Resulting Numbers: [45, 51, 31]
Generated Node #0,4: 90:[45, 51, 31] Operation: 40-9=31
Moving to Node #0,0
Current State: 90:[45, 9, 91], Operations: ['40+51=91']
Exploring Operation: 91-9=82, Resulting Numbers: [45, 82]
Generated Node #0,0,0: 90:[45, 82] Operation: 91-9=82
Exploring Operation: 45+9=54, Resulting Numbers: [91, 54]
Generated Node #0,0,1: 90:[91, 54] Operation: 45+9=54
Exploring Operation: 45-9=36, Resulting Numbers: [91, 36]
Generated Node #0,0,2: 90:[91, 36] Operation: 45-9=36
Exploring Operation: 91-45=46, Resulting Numbers: [9, 46]
Generated Node #0,0,3: 90:[9, 46] Operation: 91-45=46
Exploring Operation: 45/9=5, Resulting Numbers: [91, 5]
Generated Node #0,0,4: 90:[91, 5] Operation: 45/9=5
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 90:[9, 46], Operations: ['40+51=91', '91-45=46']
Exploring Operation: 9+46=55, Resulting Numbers: [55]
55,90 unequal: No Solution
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,90 unequal: No Solution
Exploring Operation: 9*46=414, Resulting Numbers: [414]
414,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 90:[91, 5], Operations: ['40+51=91', '45/9=5']
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,90 unequal: No Solution
Exploring Operation: 91+5=96, Resulting Numbers: [96]
96,90 unequal: No Solution
Exploring Operation: 91*5=455, Resulting Numbers: [455]
455,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 90:[91, 36], Operations: ['40+51=91', '45-9=36']
Exploring Operation: 91+36=127, Resulting Numbers: [127]
127,90 unequal: No Solution
Exploring Operation: 91-36=55, Resulting Numbers: [55]
55,90 unequal: No Solution
Exploring Operation: 91*36=3276, Resulting Numbers: [3276]
3276,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 90:[45, 82], Operations: ['40+51=91', '91-9=82']
Exploring Operation: 82-45=37, Resulting Numbers: [37]
37,90 unequal: No Solution
Exploring Operation: 45*82=3690, Resulting Numbers: [3690]
3690,90 unequal: No Solution
Exploring Operation: 45+82=127, Resulting Numbers: [127]
127,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 90:[91, 54], Operations: ['40+51=91', '45+9=54']
Exploring Operation: 91*54=4914, Resulting Numbers: [4914]
4914,90 unequal: No Solution
Exploring Operation: 91-54=37, Resulting Numbers: [37]
37,90 unequal: No Solution
Exploring Operation: 91+54=145, Resulting Numbers: [145]
145,90 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: 90:[45, 9, 11], Operations: ['51-40=11']
Exploring Operation: 45-11=34, Resulting Numbers: [9, 34]
Generated Node #0,1,0: 90:[9, 34] Operation: 45-11=34
Exploring Operation: 11-9=2, Resulting Numbers: [45, 2]
Generated Node #0,1,1: 90:[45, 2] Operation: 11-9=2
Exploring Operation: 45/9=5, Resulting Numbers: [11, 5]
Generated Node #0,1,2: 90:[11, 5] Operation: 45/9=5
Exploring Operation: 9+11=20, Resulting Numbers: [45, 20]
Generated Node #0,1,3: 90:[45, 20] Operation: 9+11=20
Exploring Operation: 45-9=36, Resulting Numbers: [11, 36]
Generated Node #0,1,4: 90:[11, 36] Operation: 45-9=36
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 90:[45, 2], Operations: ['51-40=11', '11-9=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,90 unequal: No Solution
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,90 unequal: No Solution
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[45, 40, 51, 9], Operations: []
Exploring Operation: 51-40=11, Resulting Numbers: [45, 9, 11]
Generated Node #0,1: 90:[45, 9, 11] Operation: 51-40=11
Moving to Node #0,1
Current State: 90:[45, 9, 11], Operations: ['51-40=11']
Exploring Operation: 11-9=2, Resulting Numbers: [45, 2]
Generated Node #0,1,1: 90:[45, 2] Operation: 11-9=2
Moving to Node #0,1,1
Current State: 90:[45, 2], Operations: ['51-40=11', '11-9=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.967882 | hs_5 | mult_heuristic |
[
34,
41,
14,
37
] | 16 | [
"41-34=7",
"37-14=23",
"23-7=16"
] | Current State: 16:[34, 41, 14, 37], Operations: []
Exploring Operation: 41-34=7, Resulting Numbers: [14, 37, 7]
Generated Node #2: [14, 37, 7] from Operation: 41-34=7
Current State: 16:[14, 37, 7], Operations: ['41-34=7']
Exploring Operation: 37-14=23, Resulting Numbers: [7, 23]
Generated Node #3: [7, 23] from Operation: 37-14=23
Current State: 16:[7, 23], Operations: ['41-34=7', '37-14=23']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[34, 41, 14, 37], Operations: []
Exploring Operation: 41-37=4, Resulting Numbers: [34, 14, 4]
Generated Node #0,0: 16:[34, 14, 4] Operation: 41-37=4
Exploring Operation: 41-34=7, Resulting Numbers: [14, 37, 7]
Generated Node #0,1: 16:[14, 37, 7] Operation: 41-34=7
Moving to Node #0,0
Current State: 16:[34, 14, 4], Operations: ['41-37=4']
Exploring Operation: 34-14=20, Resulting Numbers: [4, 20]
Generated Node #0,0,0: 16:[4, 20] Operation: 34-14=20
Exploring Operation: 34-4=30, Resulting Numbers: [14, 30]
Generated Node #0,0,1: 16:[14, 30] Operation: 34-4=30
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 16:[4, 20], Operations: ['41-37=4', '34-14=20']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[34, 41, 14, 37], Operations: []
Exploring Operation: 41-37=4, Resulting Numbers: [34, 14, 4]
Generated Node #0,0: 16:[34, 14, 4] Operation: 41-37=4
Moving to Node #0,0
Current State: 16:[34, 14, 4], Operations: ['41-37=4']
Exploring Operation: 34-14=20, Resulting Numbers: [4, 20]
Generated Node #0,0,0: 16:[4, 20] Operation: 34-14=20
Moving to Node #0,0,0
Current State: 16:[4, 20], Operations: ['41-37=4', '34-14=20']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
49,
30,
96,
86
] | 89 | [
"49+30=79",
"96-86=10",
"79+10=89"
] | Current State: 89:[49, 30, 96, 86], Operations: []
Exploring Operation: 49+30=79, Resulting Numbers: [96, 86, 79]
Generated Node #2: [96, 86, 79] from Operation: 49+30=79
Current State: 89:[96, 86, 79], Operations: ['49+30=79']
Exploring Operation: 96-86=10, Resulting Numbers: [79, 10]
Generated Node #3: [79, 10] from Operation: 96-86=10
Current State: 89:[79, 10], Operations: ['49+30=79', '96-86=10']
Exploring Operation: 79+10=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[49, 30, 96, 86], Operations: []
Exploring Operation: 49+30=79, Resulting Numbers: [96, 86, 79]
Generated Node #0,0: 89:[96, 86, 79] Operation: 49+30=79
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[96, 86, 79], Operations: ['49+30=79']
Exploring Operation: 96-79=17, Resulting Numbers: [86, 17]
Generated Node #0,0,0: 89:[86, 17] Operation: 96-79=17
Moving to Node #0,0,0
Current State: 89:[86, 17], Operations: ['49+30=79', '96-79=17']
Exploring Operation: 86+17=103, Resulting Numbers: [103]
103,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
6,
1,
88,
5
] | 16 | [
"5-1=4",
"88/4=22",
"22-6=16"
] | Current State: 16:[6, 1, 88, 5], Operations: []
Exploring Operation: 5-1=4, Resulting Numbers: [6, 88, 4]
Generated Node #2: [6, 88, 4] from Operation: 5-1=4
Current State: 16:[6, 88, 4], Operations: ['5-1=4']
Exploring Operation: 88/4=22, Resulting Numbers: [6, 22]
Generated Node #3: [6, 22] from Operation: 88/4=22
Current State: 16:[6, 22], Operations: ['5-1=4', '88/4=22']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[6, 1, 88, 5], Operations: []
Exploring Operation: 88-6=82, Resulting Numbers: [1, 5, 82]
Generated Node #0,0: 16:[1, 5, 82] Operation: 88-6=82
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[1, 5, 82], Operations: ['88-6=82']
Exploring Operation: 82-5=77, Resulting Numbers: [1, 77]
Generated Node #0,0,0: 16:[1, 77] Operation: 82-5=77
Moving to Node #0,0,0
Current State: 16:[1, 77], Operations: ['88-6=82', '82-5=77']
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,16 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 |
[
50,
3,
42,
40
] | 94 | [
"50-3=47",
"42-40=2",
"47*2=94"
] | Current State: 94:[50, 3, 42, 40], Operations: []
Exploring Operation: 50-3=47, Resulting Numbers: [42, 40, 47]
Generated Node #2: [42, 40, 47] from Operation: 50-3=47
Current State: 94:[42, 40, 47], Operations: ['50-3=47']
Exploring Operation: 42-40=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 42-40=2
Current State: 94:[47, 2], Operations: ['50-3=47', '42-40=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[50, 3, 42, 40], Operations: []
Exploring Operation: 50+42=92, Resulting Numbers: [3, 40, 92]
Generated Node #0,0: 94:[3, 40, 92] Operation: 50+42=92
Exploring Operation: 42-40=2, Resulting Numbers: [50, 3, 2]
Generated Node #0,1: 94:[50, 3, 2] Operation: 42-40=2
Exploring Operation: 50+40=90, Resulting Numbers: [3, 42, 90]
Generated Node #0,2: 94:[3, 42, 90] Operation: 50+40=90
Exploring Operation: 50-3=47, Resulting Numbers: [42, 40, 47]
Generated Node #0,3: 94:[42, 40, 47] Operation: 50-3=47
Exploring Operation: 3+42=45, Resulting Numbers: [50, 40, 45]
Generated Node #0,4: 94:[50, 40, 45] Operation: 3+42=45
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[50, 3, 2], Operations: ['42-40=2']
Exploring Operation: 50-3=47, Resulting Numbers: [2, 47]
Generated Node #0,1,0: 94:[2, 47] Operation: 50-3=47
Exploring Operation: 50+3=53, Resulting Numbers: [2, 53]
Generated Node #0,1,1: 94:[2, 53] Operation: 50+3=53
Exploring Operation: 50-2=48, Resulting Numbers: [3, 48]
Generated Node #0,1,2: 94:[3, 48] Operation: 50-2=48
Exploring Operation: 3-2=1, Resulting Numbers: [50, 1]
Generated Node #0,1,3: 94:[50, 1] Operation: 3-2=1
Exploring Operation: 50+2=52, Resulting Numbers: [3, 52]
Generated Node #0,1,4: 94:[3, 52] Operation: 50+2=52
Moving to Node #0,1,0
Current State: 94:[2, 47], Operations: ['42-40=2', '50-3=47']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,94 unequal: No Solution
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[50, 3, 42, 40], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [50, 3, 2]
Generated Node #0,1: 94:[50, 3, 2] Operation: 42-40=2
Moving to Node #0,1
Current State: 94:[50, 3, 2], Operations: ['42-40=2']
Exploring Operation: 50-3=47, Resulting Numbers: [2, 47]
Generated Node #0,1,0: 94:[2, 47] Operation: 50-3=47
Moving to Node #0,1,0
Current State: 94:[2, 47], Operations: ['42-40=2', '50-3=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
40,
13,
16,
80
] | 58 | [
"40+13=53",
"80/16=5",
"53+5=58"
] | Current State: 58:[40, 13, 16, 80], Operations: []
Exploring Operation: 40+13=53, Resulting Numbers: [16, 80, 53]
Generated Node #2: [16, 80, 53] from Operation: 40+13=53
Current State: 58:[16, 80, 53], Operations: ['40+13=53']
Exploring Operation: 80/16=5, Resulting Numbers: [53, 5]
Generated Node #3: [53, 5] from Operation: 80/16=5
Current State: 58:[53, 5], Operations: ['40+13=53', '80/16=5']
Exploring Operation: 53+5=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[40, 13, 16, 80], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [13, 16, 2]
Generated Node #0,0: 58:[13, 16, 2] Operation: 80/40=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[13, 16, 2], Operations: ['80/40=2']
Exploring Operation: 13+16=29, Resulting Numbers: [2, 29]
Generated Node #0,0,0: 58:[2, 29] Operation: 13+16=29
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[2, 29], Operations: ['80/40=2', '13+16=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[40, 13, 16, 80], Operations: []
Exploring Operation: 80/40=2, Resulting Numbers: [13, 16, 2]
Generated Node #0,0: 58:[13, 16, 2] Operation: 80/40=2
Moving to Node #0,0
Current State: 58:[13, 16, 2], Operations: ['80/40=2']
Exploring Operation: 13+16=29, Resulting Numbers: [2, 29]
Generated Node #0,0,0: 58:[2, 29] Operation: 13+16=29
Moving to Node #0,0,0
Current State: 58:[2, 29], Operations: ['80/40=2', '13+16=29']
Exploring Operation: 2*29=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 |
[
33,
49,
69,
46
] | 71 | [
"33*46=1518",
"1518/69=22",
"49+22=71"
] | Current State: 71:[33, 49, 69, 46], Operations: []
Exploring Operation: 33*46=1518, Resulting Numbers: [49, 69, 1518]
Generated Node #2: [49, 69, 1518] from Operation: 33*46=1518
Current State: 71:[49, 69, 1518], Operations: ['33*46=1518']
Exploring Operation: 1518/69=22, Resulting Numbers: [49, 22]
Generated Node #3: [49, 22] from Operation: 1518/69=22
Current State: 71:[49, 22], Operations: ['33*46=1518', '1518/69=22']
Exploring Operation: 49+22=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[33, 49, 69, 46], Operations: []
Exploring Operation: 33+49=82, Resulting Numbers: [69, 46, 82]
Generated Node #0,0: 71:[69, 46, 82] Operation: 33+49=82
Exploring Operation: 33+46=79, Resulting Numbers: [49, 69, 79]
Generated Node #0,1: 71:[49, 69, 79] Operation: 33+46=79
Moving to Node #0,1
Current State: 71:[49, 69, 79], Operations: ['33+46=79']
Exploring Operation: 79-49=30, Resulting Numbers: [69, 30]
Generated Node #0,1,0: 71:[69, 30] Operation: 79-49=30
Exploring Operation: 49+69=118, Resulting Numbers: [79, 118]
Generated Node #0,1,1: 71:[79, 118] Operation: 49+69=118
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[69, 30], Operations: ['33+46=79', '79-49=30']
Exploring Operation: 69-30=39, Resulting Numbers: [39]
39,71 unequal: No Solution
Exploring Operation: 69+30=99, Resulting Numbers: [99]
99,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[79, 118], Operations: ['33+46=79', '49+69=118']
Exploring Operation: 79+118=197, Resulting Numbers: [197]
197,71 unequal: No Solution
Exploring Operation: 118-79=39, Resulting Numbers: [39]
39,71 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: 71:[69, 46, 82], Operations: ['33+49=82']
Exploring Operation: 69+46=115, Resulting Numbers: [82, 115]
Generated Node #0,0,0: 71:[82, 115] Operation: 69+46=115
Exploring Operation: 82-46=36, Resulting Numbers: [69, 36]
Generated Node #0,0,1: 71:[69, 36] Operation: 82-46=36
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 71:[69, 36], Operations: ['33+49=82', '82-46=36']
Exploring Operation: 69+36=105, Resulting Numbers: [105]
105,71 unequal: No Solution
Exploring Operation: 69-36=33, Resulting Numbers: [33]
33,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[82, 115], Operations: ['33+49=82', '69+46=115']
Exploring Operation: 82+115=197, Resulting Numbers: [197]
197,71 unequal: No Solution
Exploring Operation: 115-82=33, Resulting Numbers: [33]
33,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
9,
79,
4,
20
] | 86 | [
"79-9=70",
"20-4=16",
"70+16=86"
] | Current State: 86:[9, 79, 4, 20], Operations: []
Exploring Operation: 79-9=70, Resulting Numbers: [4, 20, 70]
Generated Node #2: [4, 20, 70] from Operation: 79-9=70
Current State: 86:[4, 20, 70], Operations: ['79-9=70']
Exploring Operation: 20-4=16, Resulting Numbers: [70, 16]
Generated Node #3: [70, 16] from Operation: 20-4=16
Current State: 86:[70, 16], Operations: ['79-9=70', '20-4=16']
Exploring Operation: 70+16=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[9, 79, 4, 20], Operations: []
Exploring Operation: 20/4=5, Resulting Numbers: [9, 79, 5]
Generated Node #0,0: 86:[9, 79, 5] Operation: 20/4=5
Exploring Operation: 20-9=11, Resulting Numbers: [79, 4, 11]
Generated Node #0,1: 86:[79, 4, 11] Operation: 20-9=11
Moving to Node #0,0
Current State: 86:[9, 79, 5], Operations: ['20/4=5']
Exploring Operation: 9*5=45, Resulting Numbers: [79, 45]
Generated Node #0,0,0: 86:[79, 45] Operation: 9*5=45
Exploring Operation: 9+79=88, Resulting Numbers: [5, 88]
Generated Node #0,0,1: 86:[5, 88] Operation: 9+79=88
Moving to Node #0,1
Current State: 86:[79, 4, 11], Operations: ['20-9=11']
Exploring Operation: 4*11=44, Resulting Numbers: [79, 44]
Generated Node #0,1,0: 86:[79, 44] Operation: 4*11=44
Exploring Operation: 79+11=90, Resulting Numbers: [4, 90]
Generated Node #0,1,1: 86:[4, 90] Operation: 79+11=90
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[4, 90], Operations: ['20-9=11', '79+11=90']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[9, 79, 4, 20], Operations: []
Exploring Operation: 20-9=11, Resulting Numbers: [79, 4, 11]
Generated Node #0,1: 86:[79, 4, 11] Operation: 20-9=11
Moving to Node #0,1
Current State: 86:[79, 4, 11], Operations: ['20-9=11']
Exploring Operation: 79+11=90, Resulting Numbers: [4, 90]
Generated Node #0,1,1: 86:[4, 90] Operation: 79+11=90
Moving to Node #0,1,1
Current State: 86:[4, 90], Operations: ['20-9=11', '79+11=90']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
60,
94,
30,
69
] | 12 | [
"94-30=64",
"69-64=5",
"60/5=12"
] | Current State: 12:[60, 94, 30, 69], Operations: []
Exploring Operation: 94-30=64, Resulting Numbers: [60, 69, 64]
Generated Node #2: [60, 69, 64] from Operation: 94-30=64
Current State: 12:[60, 69, 64], Operations: ['94-30=64']
Exploring Operation: 69-64=5, Resulting Numbers: [60, 5]
Generated Node #3: [60, 5] from Operation: 69-64=5
Current State: 12:[60, 5], Operations: ['94-30=64', '69-64=5']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[60, 94, 30, 69], Operations: []
Exploring Operation: 69-60=9, Resulting Numbers: [94, 30, 9]
Generated Node #0,0: 12:[94, 30, 9] Operation: 69-60=9
Exploring Operation: 60/30=2, Resulting Numbers: [94, 69, 2]
Generated Node #0,1: 12:[94, 69, 2] Operation: 60/30=2
Exploring Operation: 94-69=25, Resulting Numbers: [60, 30, 25]
Generated Node #0,2: 12:[60, 30, 25] Operation: 94-69=25
Exploring Operation: 94-60=34, Resulting Numbers: [30, 69, 34]
Generated Node #0,3: 12:[30, 69, 34] Operation: 94-60=34
Exploring Operation: 60-30=30, Resulting Numbers: [94, 69, 30]
Generated Node #0,4: 12:[94, 69, 30] Operation: 60-30=30
Moving to Node #0,2
Current State: 12:[60, 30, 25], Operations: ['94-69=25']
Exploring Operation: 60/30=2, Resulting Numbers: [25, 2]
Generated Node #0,2,0: 12:[25, 2] Operation: 60/30=2
Exploring Operation: 30-25=5, Resulting Numbers: [60, 5]
Generated Node #0,2,1: 12:[60, 5] Operation: 30-25=5
Exploring Operation: 60-25=35, Resulting Numbers: [30, 35]
Generated Node #0,2,2: 12:[30, 35] Operation: 60-25=35
Exploring Operation: 60-30=30, Resulting Numbers: [25, 30]
Generated Node #0,2,3: 12:[25, 30] Operation: 60-30=30
Exploring Operation: 60+30=90, Resulting Numbers: [25, 90]
Generated Node #0,2,4: 12:[25, 90] Operation: 60+30=90
Moving to Node #0,3
Current State: 12:[30, 69, 34], Operations: ['94-60=34']
Exploring Operation: 30+69=99, Resulting Numbers: [34, 99]
Generated Node #0,3,0: 12:[34, 99] Operation: 30+69=99
Exploring Operation: 34-30=4, Resulting Numbers: [69, 4]
Generated Node #0,3,1: 12:[69, 4] Operation: 34-30=4
Exploring Operation: 69-34=35, Resulting Numbers: [30, 35]
Generated Node #0,3,2: 12:[30, 35] Operation: 69-34=35
Exploring Operation: 69-30=39, Resulting Numbers: [34, 39]
Generated Node #0,3,3: 12:[34, 39] Operation: 69-30=39
Exploring Operation: 30+34=64, Resulting Numbers: [69, 64]
Generated Node #0,3,4: 12:[69, 64] Operation: 30+34=64
Moving to Node #0,0
Current State: 12:[94, 30, 9], Operations: ['69-60=9']
Exploring Operation: 94-9=85, Resulting Numbers: [30, 85]
Generated Node #0,0,0: 12:[30, 85] Operation: 94-9=85
Exploring Operation: 30-9=21, Resulting Numbers: [94, 21]
Generated Node #0,0,1: 12:[94, 21] Operation: 30-9=21
Exploring Operation: 94+9=103, Resulting Numbers: [30, 103]
Generated Node #0,0,2: 12:[30, 103] Operation: 94+9=103
Exploring Operation: 94-30=64, Resulting Numbers: [9, 64]
Generated Node #0,0,3: 12:[9, 64] Operation: 94-30=64
Exploring Operation: 30+9=39, Resulting Numbers: [94, 39]
Generated Node #0,0,4: 12:[94, 39] Operation: 30+9=39
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 12:[9, 64], Operations: ['69-60=9', '94-30=64']
Exploring Operation: 9*64=576, Resulting Numbers: [576]
576,12 unequal: No Solution
Exploring Operation: 9+64=73, Resulting Numbers: [73]
73,12 unequal: No Solution
Exploring Operation: 64-9=55, Resulting Numbers: [55]
55,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 12:[30, 85], Operations: ['69-60=9', '94-9=85']
Exploring Operation: 30+85=115, Resulting Numbers: [115]
115,12 unequal: No Solution
Exploring Operation: 85-30=55, Resulting Numbers: [55]
55,12 unequal: No Solution
Exploring Operation: 30*85=2550, Resulting Numbers: [2550]
2550,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 12:[94, 21], Operations: ['69-60=9', '30-9=21']
Exploring Operation: 94-21=73, Resulting Numbers: [73]
73,12 unequal: No Solution
Exploring Operation: 94*21=1974, Resulting Numbers: [1974]
1974,12 unequal: No Solution
Exploring Operation: 94+21=115, Resulting Numbers: [115]
115,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 12:[30, 103], Operations: ['69-60=9', '94+9=103']
Exploring Operation: 103-30=73, Resulting Numbers: [73]
73,12 unequal: No Solution
Exploring Operation: 30+103=133, Resulting Numbers: [133]
133,12 unequal: No Solution
Exploring Operation: 30*103=3090, Resulting Numbers: [3090]
3090,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 12:[94, 39], Operations: ['69-60=9', '30+9=39']
Exploring Operation: 94+39=133, Resulting Numbers: [133]
133,12 unequal: No Solution
Exploring Operation: 94*39=3666, Resulting Numbers: [3666]
3666,12 unequal: No Solution
Exploring Operation: 94-39=55, Resulting Numbers: [55]
55,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 12:[94, 69, 2], Operations: ['60/30=2']
Exploring Operation: 94-69=25, Resulting Numbers: [2, 25]
Generated Node #0,1,0: 12:[2, 25] Operation: 94-69=25
Exploring Operation: 94/2=47, Resulting Numbers: [69, 47]
Generated Node #0,1,1: 12:[69, 47] Operation: 94/2=47
Exploring Operation: 94+2=96, Resulting Numbers: [69, 96]
Generated Node #0,1,2: 12:[69, 96] Operation: 94+2=96
Exploring Operation: 94-2=92, Resulting Numbers: [69, 92]
Generated Node #0,1,3: 12:[69, 92] Operation: 94-2=92
Exploring Operation: 69-2=67, Resulting Numbers: [94, 67]
Generated Node #0,1,4: 12:[94, 67] Operation: 69-2=67
Moving to Node #0,4
Current State: 12:[94, 69, 30], Operations: ['60-30=30']
Exploring Operation: 94+69=163, Resulting Numbers: [30, 163]
Generated Node #0,4,0: 12:[30, 163] Operation: 94+69=163
Exploring Operation: 94+30=124, Resulting Numbers: [69, 124]
Generated Node #0,4,1: 12:[69, 124] Operation: 94+30=124
Exploring Operation: 94-69=25, Resulting Numbers: [30, 25]
Generated Node #0,4,2: 12:[30, 25] Operation: 94-69=25
Exploring Operation: 69-30=39, Resulting Numbers: [94, 39]
Generated Node #0,4,3: 12:[94, 39] Operation: 69-30=39
Exploring Operation: 94-30=64, Resulting Numbers: [69, 64]
Generated Node #0,4,4: 12:[69, 64] Operation: 94-30=64
Moving to Node #0,2,0
Current State: 12:[25, 2], Operations: ['94-69=25', '60/30=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,12 unequal: No Solution
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,12 unequal: No Solution
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,12 unequal: No Solution
Moving to Node #0,1,0
Current State: 12:[2, 25], Operations: ['60/30=2', '94-69=25']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,12 unequal: No Solution
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,12 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,12 unequal: No Solution
Moving to Node #0,2,3
Current State: 12:[25, 30], Operations: ['94-69=25', '60-30=30']
Exploring Operation: 25+30=55, Resulting Numbers: [55]
55,12 unequal: No Solution
Exploring Operation: 25*30=750, Resulting Numbers: [750]
750,12 unequal: No Solution
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Moving to Node #0,4,2
Current State: 12:[30, 25], Operations: ['60-30=30', '94-69=25']
Exploring Operation: 30+25=55, Resulting Numbers: [55]
55,12 unequal: No Solution
Exploring Operation: 30*25=750, Resulting Numbers: [750]
750,12 unequal: No Solution
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Moving to Node #0,2,2
Current State: 12:[30, 35], Operations: ['94-69=25', '60-25=35']
Exploring Operation: 30*35=1050, Resulting Numbers: [1050]
1050,12 unequal: No Solution
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 30+35=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Moving to Node #0,3,2
Current State: 12:[30, 35], Operations: ['94-60=34', '69-34=35']
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 30*35=1050, Resulting Numbers: [1050]
1050,12 unequal: No Solution
Exploring Operation: 30+35=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Moving to Node #0,3,3
Current State: 12:[34, 39], Operations: ['94-60=34', '69-30=39']
Exploring Operation: 34+39=73, Resulting Numbers: [73]
73,12 unequal: No Solution
Exploring Operation: 34*39=1326, Resulting Numbers: [1326]
1326,12 unequal: No Solution
Exploring Operation: 39-34=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Moving to Node #0,2,1
Current State: 12:[60, 5], Operations: ['94-69=25', '30-25=5']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[60, 94, 30, 69], Operations: []
Exploring Operation: 94-69=25, Resulting Numbers: [60, 30, 25]
Generated Node #0,2: 12:[60, 30, 25] Operation: 94-69=25
Moving to Node #0,2
Current State: 12:[60, 30, 25], Operations: ['94-69=25']
Exploring Operation: 30-25=5, Resulting Numbers: [60, 5]
Generated Node #0,2,1: 12:[60, 5] Operation: 30-25=5
Moving to Node #0,2,1
Current State: 12:[60, 5], Operations: ['94-69=25', '30-25=5']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 0.938368 | hs_5 | mult_heuristic |
[
42,
1,
71,
2
] | 58 | [
"42*1=42",
"71-42=29",
"2*29=58"
] | Current State: 58:[42, 1, 71, 2], Operations: []
Exploring Operation: 42*1=42, Resulting Numbers: [71, 2, 42]
Generated Node #2: [71, 2, 42] from Operation: 42*1=42
Current State: 58:[71, 2, 42], Operations: ['42*1=42']
Exploring Operation: 71-42=29, Resulting Numbers: [2, 29]
Generated Node #3: [2, 29] from Operation: 71-42=29
Current State: 58:[2, 29], Operations: ['42*1=42', '71-42=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[42, 1, 71, 2], Operations: []
Exploring Operation: 42/2=21, Resulting Numbers: [1, 71, 21]
Generated Node #0,0: 58:[1, 71, 21] Operation: 42/2=21
Exploring Operation: 71-42=29, Resulting Numbers: [1, 2, 29]
Generated Node #0,1: 58:[1, 2, 29] Operation: 71-42=29
Start Sub Search at level 1: Moving to Node #0,1
Current State: 58:[1, 2, 29], Operations: ['71-42=29']
Exploring Operation: 2/1=2, Resulting Numbers: [29, 2]
Generated Node #0,1,0: 58:[29, 2] Operation: 2/1=2
Exploring Operation: 1*2=2, Resulting Numbers: [29, 2]
Generated Node #0,1,1: 58:[29, 2] Operation: 1*2=2
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 58:[29, 2], Operations: ['71-42=29', '2/1=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[42, 1, 71, 2], Operations: []
Exploring Operation: 71-42=29, Resulting Numbers: [1, 2, 29]
Generated Node #0,1: 58:[1, 2, 29] Operation: 71-42=29
Moving to Node #0,1
Current State: 58:[1, 2, 29], Operations: ['71-42=29']
Exploring Operation: 2/1=2, Resulting Numbers: [29, 2]
Generated Node #0,1,0: 58:[29, 2] Operation: 2/1=2
Moving to Node #0,1,0
Current State: 58:[29, 2], Operations: ['71-42=29', '2/1=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
77,
1,
66,
37
] | 25 | [
"77+1=78",
"66+37=103",
"103-78=25"
] | Current State: 25:[77, 1, 66, 37], Operations: []
Exploring Operation: 77+1=78, Resulting Numbers: [66, 37, 78]
Generated Node #2: [66, 37, 78] from Operation: 77+1=78
Current State: 25:[66, 37, 78], Operations: ['77+1=78']
Exploring Operation: 66+37=103, Resulting Numbers: [78, 103]
Generated Node #3: [78, 103] from Operation: 66+37=103
Current State: 25:[78, 103], Operations: ['77+1=78', '66+37=103']
Exploring Operation: 103-78=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[77, 1, 66, 37], Operations: []
Exploring Operation: 77-37=40, Resulting Numbers: [1, 66, 40]
Generated Node #0,0: 25:[1, 66, 40] Operation: 77-37=40
Exploring Operation: 66-37=29, Resulting Numbers: [77, 1, 29]
Generated Node #0,1: 25:[77, 1, 29] Operation: 66-37=29
Exploring Operation: 77-66=11, Resulting Numbers: [1, 37, 11]
Generated Node #0,2: 25:[1, 37, 11] Operation: 77-66=11
Start Sub Search at level 1: Moving to Node #0,2
Current State: 25:[1, 37, 11], Operations: ['77-66=11']
Exploring Operation: 11-1=10, Resulting Numbers: [37, 10]
Generated Node #0,2,0: 25:[37, 10] Operation: 11-1=10
Exploring Operation: 37-11=26, Resulting Numbers: [1, 26]
Generated Node #0,2,1: 25:[1, 26] Operation: 37-11=26
Exploring Operation: 37-1=36, Resulting Numbers: [11, 36]
Generated Node #0,2,2: 25:[11, 36] Operation: 37-1=36
Moving to Node #0,2,1
Current State: 25:[1, 26], Operations: ['77-66=11', '37-11=26']
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[77, 1, 66, 37], Operations: []
Exploring Operation: 77-66=11, Resulting Numbers: [1, 37, 11]
Generated Node #0,2: 25:[1, 37, 11] Operation: 77-66=11
Moving to Node #0,2
Current State: 25:[1, 37, 11], Operations: ['77-66=11']
Exploring Operation: 37-11=26, Resulting Numbers: [1, 26]
Generated Node #0,2,1: 25:[1, 26] Operation: 37-11=26
Moving to Node #0,2,1
Current State: 25:[1, 26], Operations: ['77-66=11', '37-11=26']
Exploring Operation: 26-1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
28,
3,
53,
16
] | 100 | [
"28+3=31",
"53+16=69",
"31+69=100"
] | Current State: 100:[28, 3, 53, 16], Operations: []
Exploring Operation: 28+3=31, Resulting Numbers: [53, 16, 31]
Generated Node #2: [53, 16, 31] from Operation: 28+3=31
Current State: 100:[53, 16, 31], Operations: ['28+3=31']
Exploring Operation: 53+16=69, Resulting Numbers: [31, 69]
Generated Node #3: [31, 69] from Operation: 53+16=69
Current State: 100:[31, 69], Operations: ['28+3=31', '53+16=69']
Exploring Operation: 31+69=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[28, 3, 53, 16], Operations: []
Exploring Operation: 28-3=25, Resulting Numbers: [53, 16, 25]
Generated Node #0,0: 100:[53, 16, 25] Operation: 28-3=25
Exploring Operation: 28-16=12, Resulting Numbers: [3, 53, 12]
Generated Node #0,1: 100:[3, 53, 12] Operation: 28-16=12
Exploring Operation: 53-28=25, Resulting Numbers: [3, 16, 25]
Generated Node #0,2: 100:[3, 16, 25] Operation: 53-28=25
Start Sub Search at level 1: Moving to Node #0,2
Current State: 100:[3, 16, 25], Operations: ['53-28=25']
Exploring Operation: 3+16=19, Resulting Numbers: [25, 19]
Generated Node #0,2,0: 100:[25, 19] Operation: 3+16=19
Exploring Operation: 25-16=9, Resulting Numbers: [3, 9]
Generated Node #0,2,1: 100:[3, 9] Operation: 25-16=9
Exploring Operation: 3*16=48, Resulting Numbers: [25, 48]
Generated Node #0,2,2: 100:[25, 48] Operation: 3*16=48
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 100:[25, 19], Operations: ['53-28=25', '3+16=19']
Exploring Operation: 25*19=475, Resulting Numbers: [475]
475,100 unequal: No Solution
Exploring Operation: 25-19=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 25+19=44, Resulting Numbers: [44]
44,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 100:[3, 9], Operations: ['53-28=25', '25-16=9']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,100 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 100:[25, 48], Operations: ['53-28=25', '3*16=48']
Exploring Operation: 25+48=73, Resulting Numbers: [73]
73,100 unequal: No Solution
Exploring Operation: 48-25=23, Resulting Numbers: [23]
23,100 unequal: No Solution
Exploring Operation: 25*48=1200, Resulting Numbers: [1200]
1200,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[3, 53, 12], Operations: ['28-16=12']
Exploring Operation: 12/3=4, Resulting Numbers: [53, 4]
Generated Node #0,1,0: 100:[53, 4] Operation: 12/3=4
Exploring Operation: 12-3=9, Resulting Numbers: [53, 9]
Generated Node #0,1,1: 100:[53, 9] Operation: 12-3=9
Exploring Operation: 53-3=50, Resulting Numbers: [12, 50]
Generated Node #0,1,2: 100:[12, 50] Operation: 53-3=50
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 100:[12, 50], Operations: ['28-16=12', '53-3=50']
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,100 unequal: No Solution
Exploring Operation: 12+50=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Exploring Operation: 12*50=600, Resulting Numbers: [600]
600,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 100:[53, 4], Operations: ['28-16=12', '12/3=4']
Exploring Operation: 53*4=212, Resulting Numbers: [212]
212,100 unequal: No Solution
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,100 unequal: No Solution
Exploring Operation: 53+4=57, Resulting Numbers: [57]
57,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 100:[53, 9], Operations: ['28-16=12', '12-3=9']
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,100 unequal: No Solution
Exploring Operation: 53*9=477, Resulting Numbers: [477]
477,100 unequal: No Solution
Exploring Operation: 53+9=62, Resulting Numbers: [62]
62,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[53, 16, 25], Operations: ['28-3=25']
Exploring Operation: 53-16=37, Resulting Numbers: [25, 37]
Generated Node #0,0,0: 100:[25, 37] Operation: 53-16=37
Exploring Operation: 53-25=28, Resulting Numbers: [16, 28]
Generated Node #0,0,1: 100:[16, 28] Operation: 53-25=28
Exploring Operation: 25-16=9, Resulting Numbers: [53, 9]
Generated Node #0,0,2: 100:[53, 9] Operation: 25-16=9
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 100:[53, 9], Operations: ['28-3=25', '25-16=9']
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,100 unequal: No Solution
Exploring Operation: 53*9=477, Resulting Numbers: [477]
477,100 unequal: No Solution
Exploring Operation: 53+9=62, Resulting Numbers: [62]
62,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 100:[16, 28], Operations: ['28-3=25', '53-25=28']
Exploring Operation: 16*28=448, Resulting Numbers: [448]
448,100 unequal: No Solution
Exploring Operation: 28-16=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 16+28=44, Resulting Numbers: [44]
44,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 100:[25, 37], Operations: ['28-3=25', '53-16=37']
Exploring Operation: 25*37=925, Resulting Numbers: [925]
925,100 unequal: No Solution
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,100 unequal: No Solution
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
71,
96,
13,
7
] | 76 | [
"71+96=167",
"13*7=91",
"167-91=76"
] | Current State: 76:[71, 96, 13, 7], Operations: []
Exploring Operation: 71+96=167, Resulting Numbers: [13, 7, 167]
Generated Node #2: [13, 7, 167] from Operation: 71+96=167
Current State: 76:[13, 7, 167], Operations: ['71+96=167']
Exploring Operation: 13*7=91, Resulting Numbers: [167, 91]
Generated Node #3: [167, 91] from Operation: 13*7=91
Current State: 76:[167, 91], Operations: ['71+96=167', '13*7=91']
Exploring Operation: 167-91=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[71, 96, 13, 7], Operations: []
Exploring Operation: 96-7=89, Resulting Numbers: [71, 13, 89]
Generated Node #0,0: 76:[71, 13, 89] Operation: 96-7=89
Exploring Operation: 96-13=83, Resulting Numbers: [71, 7, 83]
Generated Node #0,1: 76:[71, 7, 83] Operation: 96-13=83
Exploring Operation: 96-71=25, Resulting Numbers: [13, 7, 25]
Generated Node #0,2: 76:[13, 7, 25] Operation: 96-71=25
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[71, 7, 83], Operations: ['96-13=83']
Exploring Operation: 83-7=76, Resulting Numbers: [71, 76]
Generated Node #0,1,0: 76:[71, 76] Operation: 83-7=76
Exploring Operation: 83-71=12, Resulting Numbers: [7, 12]
Generated Node #0,1,1: 76:[7, 12] Operation: 83-71=12
Exploring Operation: 71+7=78, Resulting Numbers: [83, 78]
Generated Node #0,1,2: 76:[83, 78] Operation: 71+7=78
Moving to Node #0,1,0
Current State: 76:[71, 76], Operations: ['96-13=83', '83-7=76']
Exploring Operation: 71*76=5396, Resulting Numbers: [5396]
5396,76 unequal: No Solution
Exploring Operation: 71+76=147, Resulting Numbers: [147]
147,76 unequal: No Solution
Exploring Operation: 76-71=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[83, 78], Operations: ['96-13=83', '71+7=78']
Exploring Operation: 83*78=6474, Resulting Numbers: [6474]
6474,76 unequal: No Solution
Exploring Operation: 83+78=161, Resulting Numbers: [161]
161,76 unequal: No Solution
Exploring Operation: 83-78=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[7, 12], Operations: ['96-13=83', '83-71=12']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 7+12=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Exploring Operation: 7*12=84, Resulting Numbers: [84]
84,76 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 #0,2
Current State: 76:[13, 7, 25], Operations: ['96-71=25']
Exploring Operation: 13+7=20, Resulting Numbers: [25, 20]
Generated Node #0,2,0: 76:[25, 20] Operation: 13+7=20
Exploring Operation: 13+25=38, Resulting Numbers: [7, 38]
Generated Node #0,2,1: 76:[7, 38] Operation: 13+25=38
Exploring Operation: 25-7=18, Resulting Numbers: [13, 18]
Generated Node #0,2,2: 76:[13, 18] Operation: 25-7=18
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 76:[7, 38], Operations: ['96-71=25', '13+25=38']
Exploring Operation: 7*38=266, Resulting Numbers: [266]
266,76 unequal: No Solution
Exploring Operation: 7+38=45, Resulting Numbers: [45]
45,76 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,76 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:[25, 20], Operations: ['96-71=25', '13+7=20']
Exploring Operation: 25+20=45, Resulting Numbers: [45]
45,76 unequal: No Solution
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 25*20=500, Resulting Numbers: [500]
500,76 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 #0,2,2
Current State: 76:[13, 18], Operations: ['96-71=25', '25-7=18']
Exploring Operation: 13+18=31, Resulting Numbers: [31]
31,76 unequal: No Solution
Exploring Operation: 13*18=234, Resulting Numbers: [234]
234,76 unequal: No Solution
Exploring Operation: 18-13=5, Resulting Numbers: [5]
5,76 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:[71, 13, 89], Operations: ['96-7=89']
Exploring Operation: 89-13=76, Resulting Numbers: [71, 76]
Generated Node #0,0,0: 76:[71, 76] Operation: 89-13=76
Exploring Operation: 89-71=18, Resulting Numbers: [13, 18]
Generated Node #0,0,1: 76:[13, 18] Operation: 89-71=18
Exploring Operation: 71+13=84, Resulting Numbers: [89, 84]
Generated Node #0,0,2: 76:[89, 84] Operation: 71+13=84
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[71, 76], Operations: ['96-7=89', '89-13=76']
Exploring Operation: 76-71=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 71+76=147, Resulting Numbers: [147]
147,76 unequal: No Solution
Exploring Operation: 71*76=5396, Resulting Numbers: [5396]
5396,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 76:[13, 18], Operations: ['96-7=89', '89-71=18']
Exploring Operation: 13+18=31, Resulting Numbers: [31]
31,76 unequal: No Solution
Exploring Operation: 18-13=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 13*18=234, Resulting Numbers: [234]
234,76 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:[89, 84], Operations: ['96-7=89', '71+13=84']
Exploring Operation: 89*84=7476, Resulting Numbers: [7476]
7476,76 unequal: No Solution
Exploring Operation: 89-84=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Exploring Operation: 89+84=173, Resulting Numbers: [173]
173,76 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
No solution found.
| 0 | hs_3 | sum_heuristic |
[
85,
98,
13,
62
] | 83 | [
"62-13=49",
"98/49=2",
"85-2=83"
] | Current State: 83:[85, 98, 13, 62], Operations: []
Exploring Operation: 62-13=49, Resulting Numbers: [85, 98, 49]
Generated Node #2: [85, 98, 49] from Operation: 62-13=49
Current State: 83:[85, 98, 49], Operations: ['62-13=49']
Exploring Operation: 98/49=2, Resulting Numbers: [85, 2]
Generated Node #3: [85, 2] from Operation: 98/49=2
Current State: 83:[85, 2], Operations: ['62-13=49', '98/49=2']
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[85, 98, 13, 62], Operations: []
Exploring Operation: 98-13=85, Resulting Numbers: [85, 62, 85]
Generated Node #0,0: 83:[85, 62, 85] Operation: 98-13=85
Exploring Operation: 13+62=75, Resulting Numbers: [85, 98, 75]
Generated Node #0,1: 83:[85, 98, 75] Operation: 13+62=75
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[85, 62, 85], Operations: ['98-13=85']
Exploring Operation: 85-62=23, Resulting Numbers: [85, 23]
Generated Node #0,0,0: 83:[85, 23] Operation: 85-62=23
Exploring Operation: 85-62=23, Resulting Numbers: [85, 23]
Generated Node #0,0,1: 83:[85, 23] Operation: 85-62=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[85, 23], Operations: ['98-13=85', '85-62=23']
Exploring Operation: 85+23=108, Resulting Numbers: [108]
108,83 unequal: No Solution
Exploring Operation: 85-23=62, Resulting Numbers: [62]
62,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[85, 23], Operations: ['98-13=85', '85-62=23']
Exploring Operation: 85-23=62, Resulting Numbers: [62]
62,83 unequal: No Solution
Exploring Operation: 85+23=108, Resulting Numbers: [108]
108,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[85, 98, 75], Operations: ['13+62=75']
Exploring Operation: 98-75=23, Resulting Numbers: [85, 23]
Generated Node #0,1,0: 83:[85, 23] Operation: 98-75=23
Exploring Operation: 98-85=13, Resulting Numbers: [75, 13]
Generated Node #0,1,1: 83:[75, 13] Operation: 98-85=13
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[85, 23], Operations: ['13+62=75', '98-75=23']
Exploring Operation: 85-23=62, Resulting Numbers: [62]
62,83 unequal: No Solution
Exploring Operation: 85+23=108, Resulting Numbers: [108]
108,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[75, 13], Operations: ['13+62=75', '98-85=13']
Exploring Operation: 75+13=88, Resulting Numbers: [88]
88,83 unequal: No Solution
Exploring Operation: 75-13=62, Resulting Numbers: [62]
62,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
67,
23,
4,
85
] | 91 | [
"67-23=44",
"4*44=176",
"176-85=91"
] | Current State: 91:[67, 23, 4, 85], Operations: []
Exploring Operation: 67-23=44, Resulting Numbers: [4, 85, 44]
Generated Node #2: [4, 85, 44] from Operation: 67-23=44
Current State: 91:[4, 85, 44], Operations: ['67-23=44']
Exploring Operation: 4*44=176, Resulting Numbers: [85, 176]
Generated Node #3: [85, 176] from Operation: 4*44=176
Current State: 91:[85, 176], Operations: ['67-23=44', '4*44=176']
Exploring Operation: 176-85=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[67, 23, 4, 85], Operations: []
Exploring Operation: 85-67=18, Resulting Numbers: [23, 4, 18]
Generated Node #0,0: 91:[23, 4, 18] Operation: 85-67=18
Exploring Operation: 67+4=71, Resulting Numbers: [23, 85, 71]
Generated Node #0,1: 91:[23, 85, 71] Operation: 67+4=71
Exploring Operation: 23*4=92, Resulting Numbers: [67, 85, 92]
Generated Node #0,2: 91:[67, 85, 92] Operation: 23*4=92
Exploring Operation: 67+23=90, Resulting Numbers: [4, 85, 90]
Generated Node #0,3: 91:[4, 85, 90] Operation: 67+23=90
Start Sub Search at level 1: Moving to Node #0,3
Current State: 91:[4, 85, 90], Operations: ['67+23=90']
Exploring Operation: 90-85=5, Resulting Numbers: [4, 5]
Generated Node #0,3,0: 91:[4, 5] Operation: 90-85=5
Exploring Operation: 4+90=94, Resulting Numbers: [85, 94]
Generated Node #0,3,1: 91:[85, 94] Operation: 4+90=94
Exploring Operation: 4+85=89, Resulting Numbers: [90, 89]
Generated Node #0,3,2: 91:[90, 89] Operation: 4+85=89
Exploring Operation: 85-4=81, Resulting Numbers: [90, 81]
Generated Node #0,3,3: 91:[90, 81] Operation: 85-4=81
Moving to Node #0,3,2
Current State: 91:[90, 89], Operations: ['67+23=90', '4+85=89']
Exploring Operation: 90+89=179, Resulting Numbers: [179]
179,91 unequal: No Solution
Exploring Operation: 90*89=8010, Resulting Numbers: [8010]
8010,91 unequal: No Solution
Exploring Operation: 90-89=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Moving to Node #0,3,0
Current State: 91:[4, 5], Operations: ['67+23=90', '90-85=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,91 unequal: No Solution
Moving to Node #0,3,1
Current State: 91:[85, 94], Operations: ['67+23=90', '4+90=94']
Exploring Operation: 85+94=179, Resulting Numbers: [179]
179,91 unequal: No Solution
Exploring Operation: 85*94=7990, Resulting Numbers: [7990]
7990,91 unequal: No Solution
Exploring Operation: 94-85=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Moving to Node #0,3,3
Current State: 91:[90, 81], Operations: ['67+23=90', '85-4=81']
Exploring Operation: 90+81=171, Resulting Numbers: [171]
171,91 unequal: No Solution
Exploring Operation: 90*81=7290, Resulting Numbers: [7290]
7290,91 unequal: No Solution
Exploring Operation: 90-81=9, Resulting Numbers: [9]
9,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[23, 4, 18], Operations: ['85-67=18']
Exploring Operation: 23-18=5, Resulting Numbers: [4, 5]
Generated Node #0,0,0: 91:[4, 5] Operation: 23-18=5
Exploring Operation: 23-4=19, Resulting Numbers: [18, 19]
Generated Node #0,0,1: 91:[18, 19] Operation: 23-4=19
Exploring Operation: 18-4=14, Resulting Numbers: [23, 14]
Generated Node #0,0,2: 91:[23, 14] Operation: 18-4=14
Exploring Operation: 23*4=92, Resulting Numbers: [18, 92]
Generated Node #0,0,3: 91:[18, 92] Operation: 23*4=92
Moving to Node #0,0,0
Current State: 91:[4, 5], Operations: ['85-67=18', '23-18=5']
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,91 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Moving to Node #0,0,3
Current State: 91:[18, 92], Operations: ['85-67=18', '23*4=92']
Exploring Operation: 18+92=110, Resulting Numbers: [110]
110,91 unequal: No Solution
Exploring Operation: 18*92=1656, Resulting Numbers: [1656]
1656,91 unequal: No Solution
Exploring Operation: 92-18=74, Resulting Numbers: [74]
74,91 unequal: No Solution
Moving to Node #0,0,2
Current State: 91:[23, 14], Operations: ['85-67=18', '18-4=14']
Exploring Operation: 23+14=37, Resulting Numbers: [37]
37,91 unequal: No Solution
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 23*14=322, Resulting Numbers: [322]
322,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[18, 19], Operations: ['85-67=18', '23-4=19']
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 18*19=342, Resulting Numbers: [342]
342,91 unequal: No Solution
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 91:[67, 85, 92], Operations: ['23*4=92']
Exploring Operation: 92-67=25, Resulting Numbers: [85, 25]
Generated Node #0,2,0: 91:[85, 25] Operation: 92-67=25
Exploring Operation: 92-85=7, Resulting Numbers: [67, 7]
Generated Node #0,2,1: 91:[67, 7] Operation: 92-85=7
Exploring Operation: 67+85=152, Resulting Numbers: [92, 152]
Generated Node #0,2,2: 91:[92, 152] Operation: 67+85=152
Exploring Operation: 85-67=18, Resulting Numbers: [92, 18]
Generated Node #0,2,3: 91:[92, 18] Operation: 85-67=18
Moving to Node #0,2,3
Current State: 91:[92, 18], Operations: ['23*4=92', '85-67=18']
Exploring Operation: 92+18=110, Resulting Numbers: [110]
110,91 unequal: No Solution
Exploring Operation: 92-18=74, Resulting Numbers: [74]
74,91 unequal: No Solution
Exploring Operation: 92*18=1656, Resulting Numbers: [1656]
1656,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[85, 25], Operations: ['23*4=92', '92-67=25']
Exploring Operation: 85+25=110, Resulting Numbers: [110]
110,91 unequal: No Solution
Exploring Operation: 85-25=60, Resulting Numbers: [60]
60,91 unequal: No Solution
Exploring Operation: 85*25=2125, Resulting Numbers: [2125]
2125,91 unequal: No Solution
Moving to Node #0,2,1
Current State: 91:[67, 7], Operations: ['23*4=92', '92-85=7']
Exploring Operation: 67*7=469, Resulting Numbers: [469]
469,91 unequal: No Solution
Exploring Operation: 67+7=74, Resulting Numbers: [74]
74,91 unequal: No Solution
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[92, 152], Operations: ['23*4=92', '67+85=152']
Exploring Operation: 92+152=244, Resulting Numbers: [244]
244,91 unequal: No Solution
Exploring Operation: 92*152=13984, Resulting Numbers: [13984]
13984,91 unequal: No Solution
Exploring Operation: 152-92=60, Resulting Numbers: [60]
60,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[23, 85, 71], Operations: ['67+4=71']
Exploring Operation: 23+85=108, Resulting Numbers: [71, 108]
Generated Node #0,1,0: 91:[71, 108] Operation: 23+85=108
Exploring Operation: 23+71=94, Resulting Numbers: [85, 94]
Generated Node #0,1,1: 91:[85, 94] Operation: 23+71=94
Exploring Operation: 71-23=48, Resulting Numbers: [85, 48]
Generated Node #0,1,2: 91:[85, 48] Operation: 71-23=48
Exploring Operation: 85-71=14, Resulting Numbers: [23, 14]
Generated Node #0,1,3: 91:[23, 14] Operation: 85-71=14
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 91:[85, 94], Operations: ['67+4=71', '23+71=94']
Exploring Operation: 85*94=7990, Resulting Numbers: [7990]
7990,91 unequal: No Solution
Exploring Operation: 85+94=179, Resulting Numbers: [179]
179,91 unequal: No Solution
Exploring Operation: 94-85=9, Resulting Numbers: [9]
9,91 unequal: No Solution
No 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: 91:[23, 14], Operations: ['67+4=71', '85-71=14']
Exploring Operation: 23*14=322, Resulting Numbers: [322]
322,91 unequal: No Solution
Exploring Operation: 23+14=37, Resulting Numbers: [37]
37,91 unequal: No Solution
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,91 unequal: No Solution
No 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: 91:[71, 108], Operations: ['67+4=71', '23+85=108']
Exploring Operation: 71*108=7668, Resulting Numbers: [7668]
7668,91 unequal: No Solution
Exploring Operation: 108-71=37, Resulting Numbers: [37]
37,91 unequal: No Solution
Exploring Operation: 71+108=179, Resulting Numbers: [179]
179,91 unequal: No Solution
No 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: 91:[85, 48], Operations: ['67+4=71', '71-23=48']
Exploring Operation: 85*48=4080, Resulting Numbers: [4080]
4080,91 unequal: No Solution
Exploring Operation: 85+48=133, Resulting Numbers: [133]
133,91 unequal: No Solution
Exploring Operation: 85-48=37, Resulting Numbers: [37]
37,91 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 |
[
34,
2,
31,
85
] | 92 | [
"31+85=116",
"116/2=58",
"34+58=92"
] | Current State: 92:[34, 2, 31, 85], Operations: []
Exploring Operation: 31+85=116, Resulting Numbers: [34, 2, 116]
Generated Node #2: [34, 2, 116] from Operation: 31+85=116
Current State: 92:[34, 2, 116], Operations: ['31+85=116']
Exploring Operation: 116/2=58, Resulting Numbers: [34, 58]
Generated Node #3: [34, 58] from Operation: 116/2=58
Current State: 92:[34, 58], Operations: ['31+85=116', '116/2=58']
Exploring Operation: 34+58=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[34, 2, 31, 85], Operations: []
Exploring Operation: 85-31=54, Resulting Numbers: [34, 2, 54]
Generated Node #0,0: 92:[34, 2, 54] Operation: 85-31=54
Exploring Operation: 34-2=32, Resulting Numbers: [31, 85, 32]
Generated Node #0,1: 92:[31, 85, 32] Operation: 34-2=32
Exploring Operation: 85-34=51, Resulting Numbers: [2, 31, 51]
Generated Node #0,2: 92:[2, 31, 51] Operation: 85-34=51
Exploring Operation: 34-31=3, Resulting Numbers: [2, 85, 3]
Generated Node #0,3: 92:[2, 85, 3] Operation: 34-31=3
Exploring Operation: 34/2=17, Resulting Numbers: [31, 85, 17]
Generated Node #0,4: 92:[31, 85, 17] Operation: 34/2=17
Start Sub Search at level 1: Moving to Node #0,3
Current State: 92:[2, 85, 3], Operations: ['34-31=3']
Exploring Operation: 2+3=5, Resulting Numbers: [85, 5]
Generated Node #0,3,0: 92:[85, 5] Operation: 2+3=5
Exploring Operation: 2*3=6, Resulting Numbers: [85, 6]
Generated Node #0,3,1: 92:[85, 6] Operation: 2*3=6
Exploring Operation: 85+3=88, Resulting Numbers: [2, 88]
Generated Node #0,3,2: 92:[2, 88] Operation: 85+3=88
Exploring Operation: 2+85=87, Resulting Numbers: [3, 87]
Generated Node #0,3,3: 92:[3, 87] Operation: 2+85=87
Exploring Operation: 3-2=1, Resulting Numbers: [85, 1]
Generated Node #0,3,4: 92:[85, 1] Operation: 3-2=1
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 92:[2, 88], Operations: ['34-31=3', '85+3=88']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,92 unequal: No Solution
Exploring Operation: 2+88=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 2*88=176, Resulting Numbers: [176]
176,92 unequal: No Solution
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 92:[3, 87], Operations: ['34-31=3', '2+85=87']
Exploring Operation: 87/3=29, Resulting Numbers: [29]
29,92 unequal: No Solution
Exploring Operation: 87-3=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 3+87=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 3*87=261, Resulting Numbers: [261]
261,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 92:[85, 5], Operations: ['34-31=3', '2+3=5']
Exploring Operation: 85+5=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,92 unequal: No Solution
Exploring Operation: 85*5=425, Resulting Numbers: [425]
425,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 92:[85, 1], Operations: ['34-31=3', '3-2=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,92 unequal: No Solution
Exploring Operation: 85+1=86, Resulting Numbers: [86]
86,92 unequal: No Solution
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,92 unequal: No Solution
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 92:[85, 6], Operations: ['34-31=3', '2*3=6']
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,92 unequal: No Solution
Exploring Operation: 85+6=91, Resulting Numbers: [91]
91,92 unequal: No Solution
Exploring Operation: 85*6=510, Resulting Numbers: [510]
510,92 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 #0,2
Current State: 92:[2, 31, 51], Operations: ['85-34=51']
Exploring Operation: 51-31=20, Resulting Numbers: [2, 20]
Generated Node #0,2,0: 92:[2, 20] Operation: 51-31=20
Exploring Operation: 51-2=49, Resulting Numbers: [31, 49]
Generated Node #0,2,1: 92:[31, 49] Operation: 51-2=49
Exploring Operation: 2+31=33, Resulting Numbers: [51, 33]
Generated Node #0,2,2: 92:[51, 33] Operation: 2+31=33
Exploring Operation: 31-2=29, Resulting Numbers: [51, 29]
Generated Node #0,2,3: 92:[51, 29] Operation: 31-2=29
Exploring Operation: 31+51=82, Resulting Numbers: [2, 82]
Generated Node #0,2,4: 92:[2, 82] Operation: 31+51=82
Moving to Node #0,2,0
Current State: 92:[2, 20], Operations: ['85-34=51', '51-31=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,92 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,92 unequal: No Solution
Moving to Node #0,2,4
Current State: 92:[2, 82], Operations: ['85-34=51', '31+51=82']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,92 unequal: No Solution
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,92 unequal: No Solution
Exploring Operation: 2+82=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 2*82=164, Resulting Numbers: [164]
164,92 unequal: No Solution
Moving to Node #0,2,1
Current State: 92:[31, 49], Operations: ['85-34=51', '51-2=49']
Exploring Operation: 31*49=1519, Resulting Numbers: [1519]
1519,92 unequal: No Solution
Exploring Operation: 49-31=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 31+49=80, Resulting Numbers: [80]
80,92 unequal: No Solution
Moving to Node #0,2,3
Current State: 92:[51, 29], Operations: ['85-34=51', '31-2=29']
Exploring Operation: 51+29=80, Resulting Numbers: [80]
80,92 unequal: No Solution
Exploring Operation: 51*29=1479, Resulting Numbers: [1479]
1479,92 unequal: No Solution
Exploring Operation: 51-29=22, Resulting Numbers: [22]
22,92 unequal: No Solution
Moving to Node #0,2,2
Current State: 92:[51, 33], Operations: ['85-34=51', '2+31=33']
Exploring Operation: 51*33=1683, Resulting Numbers: [1683]
1683,92 unequal: No Solution
Exploring Operation: 51-33=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 51+33=84, Resulting Numbers: [84]
84,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[34, 2, 54], Operations: ['85-31=54']
Exploring Operation: 34+54=88, Resulting Numbers: [2, 88]
Generated Node #0,0,0: 92:[2, 88] Operation: 34+54=88
Exploring Operation: 34/2=17, Resulting Numbers: [54, 17]
Generated Node #0,0,1: 92:[54, 17] Operation: 34/2=17
Exploring Operation: 54/2=27, Resulting Numbers: [34, 27]
Generated Node #0,0,2: 92:[34, 27] Operation: 54/2=27
Exploring Operation: 34-2=32, Resulting Numbers: [54, 32]
Generated Node #0,0,3: 92:[54, 32] Operation: 34-2=32
Exploring Operation: 54-34=20, Resulting Numbers: [2, 20]
Generated Node #0,0,4: 92:[2, 20] Operation: 54-34=20
Moving to Node #0,0,4
Current State: 92:[2, 20], Operations: ['85-31=54', '54-34=20']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,92 unequal: No Solution
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,92 unequal: No Solution
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[2, 88], Operations: ['85-31=54', '34+54=88']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,92 unequal: No Solution
Exploring Operation: 2*88=176, Resulting Numbers: [176]
176,92 unequal: No Solution
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,92 unequal: No Solution
Exploring Operation: 2+88=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[54, 17], Operations: ['85-31=54', '34/2=17']
Exploring Operation: 54+17=71, Resulting Numbers: [71]
71,92 unequal: No Solution
Exploring Operation: 54*17=918, Resulting Numbers: [918]
918,92 unequal: No Solution
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,92 unequal: No Solution
Moving to Node #0,0,2
Current State: 92:[34, 27], Operations: ['85-31=54', '54/2=27']
Exploring Operation: 34*27=918, Resulting Numbers: [918]
918,92 unequal: No Solution
Exploring Operation: 34+27=61, Resulting Numbers: [61]
61,92 unequal: No Solution
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,92 unequal: No Solution
Moving to Node #0,0,3
Current State: 92:[54, 32], Operations: ['85-31=54', '34-2=32']
Exploring Operation: 54*32=1728, Resulting Numbers: [1728]
1728,92 unequal: No Solution
Exploring Operation: 54-32=22, Resulting Numbers: [22]
22,92 unequal: No Solution
Exploring Operation: 54+32=86, Resulting Numbers: [86]
86,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 92:[31, 85, 17], Operations: ['34/2=17']
Exploring Operation: 31+17=48, Resulting Numbers: [85, 48]
Generated Node #0,4,0: 92:[85, 48] Operation: 31+17=48
Exploring Operation: 85+17=102, Resulting Numbers: [31, 102]
Generated Node #0,4,1: 92:[31, 102] Operation: 85+17=102
Exploring Operation: 31-17=14, Resulting Numbers: [85, 14]
Generated Node #0,4,2: 92:[85, 14] Operation: 31-17=14
Exploring Operation: 85-31=54, Resulting Numbers: [17, 54]
Generated Node #0,4,3: 92:[17, 54] Operation: 85-31=54
Exploring Operation: 85/17=5, Resulting Numbers: [31, 5]
Generated Node #0,4,4: 92:[31, 5] Operation: 85/17=5
Moving to Node #0,4,0
Current State: 92:[85, 48], Operations: ['34/2=17', '31+17=48']
Exploring Operation: 85*48=4080, Resulting Numbers: [4080]
4080,92 unequal: No Solution
Exploring Operation: 85-48=37, Resulting Numbers: [37]
37,92 unequal: No Solution
Exploring Operation: 85+48=133, Resulting Numbers: [133]
133,92 unequal: No Solution
Moving to Node #0,4,4
Current State: 92:[31, 5], Operations: ['34/2=17', '85/17=5']
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Exploring Operation: 31*5=155, Resulting Numbers: [155]
155,92 unequal: No Solution
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,92 unequal: No Solution
Moving to Node #0,4,3
Current State: 92:[17, 54], Operations: ['34/2=17', '85-31=54']
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,92 unequal: No Solution
Exploring Operation: 17+54=71, Resulting Numbers: [71]
71,92 unequal: No Solution
Exploring Operation: 17*54=918, Resulting Numbers: [918]
918,92 unequal: No Solution
Moving to Node #0,4,2
Current State: 92:[85, 14], Operations: ['34/2=17', '31-17=14']
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,92 unequal: No Solution
Exploring Operation: 85+14=99, Resulting Numbers: [99]
99,92 unequal: No Solution
Exploring Operation: 85*14=1190, Resulting Numbers: [1190]
1190,92 unequal: No Solution
Moving to Node #0,4,1
Current State: 92:[31, 102], Operations: ['34/2=17', '85+17=102']
Exploring Operation: 102-31=71, Resulting Numbers: [71]
71,92 unequal: No Solution
Exploring Operation: 31+102=133, Resulting Numbers: [133]
133,92 unequal: No Solution
Exploring Operation: 31*102=3162, Resulting Numbers: [3162]
3162,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[31, 85, 32], Operations: ['34-2=32']
Exploring Operation: 31+32=63, Resulting Numbers: [85, 63]
Generated Node #0,1,0: 92:[85, 63] Operation: 31+32=63
Exploring Operation: 31+85=116, Resulting Numbers: [32, 116]
Generated Node #0,1,1: 92:[32, 116] Operation: 31+85=116
Exploring Operation: 85-31=54, Resulting Numbers: [32, 54]
Generated Node #0,1,2: 92:[32, 54] Operation: 85-31=54
Exploring Operation: 85-32=53, Resulting Numbers: [31, 53]
Generated Node #0,1,3: 92:[31, 53] Operation: 85-32=53
Exploring Operation: 32-31=1, Resulting Numbers: [85, 1]
Generated Node #0,1,4: 92:[85, 1] Operation: 32-31=1
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 92:[85, 1], Operations: ['34-2=32', '32-31=1']
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 85+1=86, Resulting Numbers: [86]
86,92 unequal: No Solution
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,92 unequal: No Solution
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,92 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 #0,1,3
Current State: 92:[31, 53], Operations: ['34-2=32', '85-32=53']
Exploring Operation: 31+53=84, Resulting Numbers: [84]
84,92 unequal: No Solution
Exploring Operation: 31*53=1643, Resulting Numbers: [1643]
1643,92 unequal: No Solution
Exploring Operation: 53-31=22, Resulting Numbers: [22]
22,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 92:[32, 54], Operations: ['34-2=32', '85-31=54']
Exploring Operation: 54-32=22, Resulting Numbers: [22]
22,92 unequal: No Solution
Exploring Operation: 32*54=1728, Resulting Numbers: [1728]
1728,92 unequal: No Solution
Exploring Operation: 32+54=86, Resulting Numbers: [86]
86,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 92:[85, 63], Operations: ['34-2=32', '31+32=63']
Exploring Operation: 85*63=5355, Resulting Numbers: [5355]
5355,92 unequal: No Solution
Exploring Operation: 85-63=22, Resulting Numbers: [22]
22,92 unequal: No Solution
Exploring Operation: 85+63=148, Resulting Numbers: [148]
148,92 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:[32, 116], Operations: ['34-2=32', '31+85=116']
Exploring Operation: 32*116=3712, Resulting Numbers: [3712]
3712,92 unequal: No Solution
Exploring Operation: 32+116=148, Resulting Numbers: [148]
148,92 unequal: No Solution
Exploring Operation: 116-32=84, Resulting Numbers: [84]
84,92 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_5 | mult_heuristic |
[
30,
30,
46,
49
] | 57 | [
"30+30=60",
"49-46=3",
"60-3=57"
] | Current State: 57:[30, 30, 46, 49], Operations: []
Exploring Operation: 30+30=60, Resulting Numbers: [46, 49, 60]
Generated Node #2: [46, 49, 60] from Operation: 30+30=60
Current State: 57:[46, 49, 60], Operations: ['30+30=60']
Exploring Operation: 49-46=3, Resulting Numbers: [60, 3]
Generated Node #3: [60, 3] from Operation: 49-46=3
Current State: 57:[60, 3], Operations: ['30+30=60', '49-46=3']
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[30, 30, 46, 49], Operations: []
Exploring Operation: 30-30=0, Resulting Numbers: [46, 49, 0]
Generated Node #0,0: 57:[46, 49, 0] Operation: 30-30=0
Exploring Operation: 30+30=60, Resulting Numbers: [46, 49, 60]
Generated Node #0,1: 57:[46, 49, 60] Operation: 30+30=60
Exploring Operation: 49-30=19, Resulting Numbers: [30, 46, 19]
Generated Node #0,2: 57:[30, 46, 19] Operation: 49-30=19
Exploring Operation: 46-30=16, Resulting Numbers: [30, 49, 16]
Generated Node #0,3: 57:[30, 49, 16] Operation: 46-30=16
Exploring Operation: 30/30=1, Resulting Numbers: [46, 49, 1]
Generated Node #0,4: 57:[46, 49, 1] Operation: 30/30=1
Moving to Node #0,4
Current State: 57:[46, 49, 1], Operations: ['30/30=1']
Exploring Operation: 46*1=46, Resulting Numbers: [49, 46]
Generated Node #0,4,0: 57:[49, 46] Operation: 46*1=46
Exploring Operation: 49+1=50, Resulting Numbers: [46, 50]
Generated Node #0,4,1: 57:[46, 50] Operation: 49+1=50
Exploring Operation: 46+1=47, Resulting Numbers: [49, 47]
Generated Node #0,4,2: 57:[49, 47] Operation: 46+1=47
Exploring Operation: 49-46=3, Resulting Numbers: [1, 3]
Generated Node #0,4,3: 57:[1, 3] Operation: 49-46=3
Exploring Operation: 46/1=46, Resulting Numbers: [49, 46]
Generated Node #0,4,4: 57:[49, 46] Operation: 46/1=46
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 57:[1, 3], Operations: ['30/30=1', '49-46=3']
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 1+3=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 57:[46, 50], Operations: ['30/30=1', '49+1=50']
Exploring Operation: 46+50=96, Resulting Numbers: [96]
96,57 unequal: No Solution
Exploring Operation: 50-46=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 46*50=2300, Resulting Numbers: [2300]
2300,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 57:[49, 47], Operations: ['30/30=1', '46+1=47']
Exploring Operation: 49*47=2303, Resulting Numbers: [2303]
2303,57 unequal: No Solution
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Exploring Operation: 49+47=96, Resulting Numbers: [96]
96,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 57:[49, 46], Operations: ['30/30=1', '46*1=46']
Exploring Operation: 49*46=2254, Resulting Numbers: [2254]
2254,57 unequal: No Solution
Exploring Operation: 49+46=95, Resulting Numbers: [95]
95,57 unequal: No Solution
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 57:[49, 46], Operations: ['30/30=1', '46/1=46']
Exploring Operation: 49*46=2254, Resulting Numbers: [2254]
2254,57 unequal: No Solution
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 49+46=95, Resulting Numbers: [95]
95,57 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: 57:[46, 49, 60], Operations: ['30+30=60']
Exploring Operation: 46+49=95, Resulting Numbers: [60, 95]
Generated Node #0,1,0: 57:[60, 95] Operation: 46+49=95
Exploring Operation: 49-46=3, Resulting Numbers: [60, 3]
Generated Node #0,1,1: 57:[60, 3] Operation: 49-46=3
Exploring Operation: 60-49=11, Resulting Numbers: [46, 11]
Generated Node #0,1,2: 57:[46, 11] Operation: 60-49=11
Exploring Operation: 46+60=106, Resulting Numbers: [49, 106]
Generated Node #0,1,3: 57:[49, 106] Operation: 46+60=106
Exploring Operation: 60-46=14, Resulting Numbers: [49, 14]
Generated Node #0,1,4: 57:[49, 14] Operation: 60-46=14
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 57:[60, 3], Operations: ['30+30=60', '49-46=3']
Exploring Operation: 60*3=180, Resulting Numbers: [180]
180,57 unequal: No Solution
Exploring Operation: 60+3=63, Resulting Numbers: [63]
63,57 unequal: No Solution
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,57 unequal: No Solution
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[30, 30, 46, 49], Operations: []
Exploring Operation: 30+30=60, Resulting Numbers: [46, 49, 60]
Generated Node #0,1: 57:[46, 49, 60] Operation: 30+30=60
Moving to Node #0,1
Current State: 57:[46, 49, 60], Operations: ['30+30=60']
Exploring Operation: 49-46=3, Resulting Numbers: [60, 3]
Generated Node #0,1,1: 57:[60, 3] Operation: 49-46=3
Moving to Node #0,1,1
Current State: 57:[60, 3], Operations: ['30+30=60', '49-46=3']
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_5 | sum_heuristic |
[
52,
16,
22,
14
] | 54 | [
"22-14=8",
"16/8=2",
"52+2=54"
] | Current State: 54:[52, 16, 22, 14], Operations: []
Exploring Operation: 22-14=8, Resulting Numbers: [52, 16, 8]
Generated Node #2: [52, 16, 8] from Operation: 22-14=8
Current State: 54:[52, 16, 8], Operations: ['22-14=8']
Exploring Operation: 16/8=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 16/8=2
Current State: 54:[52, 2], Operations: ['22-14=8', '16/8=2']
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[52, 16, 22, 14], Operations: []
Exploring Operation: 52-22=30, Resulting Numbers: [16, 14, 30]
Generated Node #0,0: 54:[16, 14, 30] Operation: 52-22=30
Exploring Operation: 22-14=8, Resulting Numbers: [52, 16, 8]
Generated Node #0,1: 54:[52, 16, 8] Operation: 22-14=8
Exploring Operation: 22-16=6, Resulting Numbers: [52, 14, 6]
Generated Node #0,2: 54:[52, 14, 6] Operation: 22-16=6
Exploring Operation: 16-14=2, Resulting Numbers: [52, 22, 2]
Generated Node #0,3: 54:[52, 22, 2] Operation: 16-14=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[52, 16, 8], Operations: ['22-14=8']
Exploring Operation: 16-8=8, Resulting Numbers: [52, 8]
Generated Node #0,1,0: 54:[52, 8] Operation: 16-8=8
Exploring Operation: 52+8=60, Resulting Numbers: [16, 60]
Generated Node #0,1,1: 54:[16, 60] Operation: 52+8=60
Exploring Operation: 16+8=24, Resulting Numbers: [52, 24]
Generated Node #0,1,2: 54:[52, 24] Operation: 16+8=24
Exploring Operation: 16/8=2, Resulting Numbers: [52, 2]
Generated Node #0,1,3: 54:[52, 2] Operation: 16/8=2
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 54:[52, 2], Operations: ['22-14=8', '16/8=2']
Exploring Operation: 52*2=104, Resulting Numbers: [104]
104,54 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,54 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,54 unequal: No Solution
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[52, 16, 22, 14], Operations: []
Exploring Operation: 22-14=8, Resulting Numbers: [52, 16, 8]
Generated Node #0,1: 54:[52, 16, 8] Operation: 22-14=8
Moving to Node #0,1
Current State: 54:[52, 16, 8], Operations: ['22-14=8']
Exploring Operation: 16/8=2, Resulting Numbers: [52, 2]
Generated Node #0,1,3: 54:[52, 2] Operation: 16/8=2
Moving to Node #0,1,3
Current State: 54:[52, 2], Operations: ['22-14=8', '16/8=2']
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
70,
15,
39,
7
] | 14 | [
"70/7=10",
"39-15=24",
"24-10=14"
] | Current State: 14:[70, 15, 39, 7], Operations: []
Exploring Operation: 70/7=10, Resulting Numbers: [15, 39, 10]
Generated Node #2: [15, 39, 10] from Operation: 70/7=10
Current State: 14:[15, 39, 10], Operations: ['70/7=10']
Exploring Operation: 39-15=24, Resulting Numbers: [10, 24]
Generated Node #3: [10, 24] from Operation: 39-15=24
Current State: 14:[10, 24], Operations: ['70/7=10', '39-15=24']
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[70, 15, 39, 7], Operations: []
Exploring Operation: 70-15=55, Resulting Numbers: [39, 7, 55]
Generated Node #0,0: 14:[39, 7, 55] Operation: 70-15=55
Exploring Operation: 70-7=63, Resulting Numbers: [15, 39, 63]
Generated Node #0,1: 14:[15, 39, 63] Operation: 70-7=63
Exploring Operation: 70-39=31, Resulting Numbers: [15, 7, 31]
Generated Node #0,2: 14:[15, 7, 31] Operation: 70-39=31
Exploring Operation: 70/7=10, Resulting Numbers: [15, 39, 10]
Generated Node #0,3: 14:[15, 39, 10] Operation: 70/7=10
Exploring Operation: 39-15=24, Resulting Numbers: [70, 7, 24]
Generated Node #0,4: 14:[70, 7, 24] Operation: 39-15=24
Moving to Node #0,2
Current State: 14:[15, 7, 31], Operations: ['70-39=31']
Exploring Operation: 15+7=22, Resulting Numbers: [31, 22]
Generated Node #0,2,0: 14:[31, 22] Operation: 15+7=22
Exploring Operation: 7+31=38, Resulting Numbers: [15, 38]
Generated Node #0,2,1: 14:[15, 38] Operation: 7+31=38
Exploring Operation: 31-15=16, Resulting Numbers: [7, 16]
Generated Node #0,2,2: 14:[7, 16] Operation: 31-15=16
Exploring Operation: 15-7=8, Resulting Numbers: [31, 8]
Generated Node #0,2,3: 14:[31, 8] Operation: 15-7=8
Exploring Operation: 31-7=24, Resulting Numbers: [15, 24]
Generated Node #0,2,4: 14:[15, 24] Operation: 31-7=24
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 14:[7, 16], Operations: ['70-39=31', '31-15=16']
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,14 unequal: No Solution
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,14 unequal: No Solution
Exploring Operation: 7*16=112, Resulting Numbers: [112]
112,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 14:[15, 24], Operations: ['70-39=31', '31-7=24']
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,14 unequal: No Solution
Exploring Operation: 15*24=360, Resulting Numbers: [360]
360,14 unequal: No Solution
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 14:[31, 8], Operations: ['70-39=31', '15-7=8']
Exploring Operation: 31*8=248, Resulting Numbers: [248]
248,14 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,14 unequal: No Solution
Exploring Operation: 31+8=39, Resulting Numbers: [39]
39,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 14:[31, 22], Operations: ['70-39=31', '15+7=22']
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,14 unequal: No Solution
Exploring Operation: 31+22=53, Resulting Numbers: [53]
53,14 unequal: No Solution
Exploring Operation: 31*22=682, Resulting Numbers: [682]
682,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 14:[15, 38], Operations: ['70-39=31', '7+31=38']
Exploring Operation: 15+38=53, Resulting Numbers: [53]
53,14 unequal: No Solution
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,14 unequal: No Solution
Exploring Operation: 15*38=570, Resulting Numbers: [570]
570,14 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: 14:[15, 39, 10], Operations: ['70/7=10']
Exploring Operation: 39-10=29, Resulting Numbers: [15, 29]
Generated Node #0,3,0: 14:[15, 29] Operation: 39-10=29
Exploring Operation: 39+10=49, Resulting Numbers: [15, 49]
Generated Node #0,3,1: 14:[15, 49] Operation: 39+10=49
Exploring Operation: 15+10=25, Resulting Numbers: [39, 25]
Generated Node #0,3,2: 14:[39, 25] Operation: 15+10=25
Exploring Operation: 39-15=24, Resulting Numbers: [10, 24]
Generated Node #0,3,3: 14:[10, 24] Operation: 39-15=24
Exploring Operation: 15-10=5, Resulting Numbers: [39, 5]
Generated Node #0,3,4: 14:[39, 5] Operation: 15-10=5
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 14:[10, 24], Operations: ['70/7=10', '39-15=24']
Exploring Operation: 10+24=34, Resulting Numbers: [34]
34,14 unequal: No Solution
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[70, 15, 39, 7], Operations: []
Exploring Operation: 70/7=10, Resulting Numbers: [15, 39, 10]
Generated Node #0,3: 14:[15, 39, 10] Operation: 70/7=10
Moving to Node #0,3
Current State: 14:[15, 39, 10], Operations: ['70/7=10']
Exploring Operation: 39-15=24, Resulting Numbers: [10, 24]
Generated Node #0,3,3: 14:[10, 24] Operation: 39-15=24
Moving to Node #0,3,3
Current State: 14:[10, 24], Operations: ['70/7=10', '39-15=24']
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
86,
63,
92,
40
] | 94 | [
"86+40=126",
"126/63=2",
"92+2=94"
] | Current State: 94:[86, 63, 92, 40], Operations: []
Exploring Operation: 86+40=126, Resulting Numbers: [63, 92, 126]
Generated Node #2: [63, 92, 126] from Operation: 86+40=126
Current State: 94:[63, 92, 126], Operations: ['86+40=126']
Exploring Operation: 126/63=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 126/63=2
Current State: 94:[92, 2], Operations: ['86+40=126', '126/63=2']
Exploring Operation: 92+2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[86, 63, 92, 40], Operations: []
Exploring Operation: 86-40=46, Resulting Numbers: [63, 92, 46]
Generated Node #0,0: 94:[63, 92, 46] Operation: 86-40=46
Exploring Operation: 63+40=103, Resulting Numbers: [86, 92, 103]
Generated Node #0,1: 94:[86, 92, 103] Operation: 63+40=103
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[63, 92, 46], Operations: ['86-40=46']
Exploring Operation: 92/46=2, Resulting Numbers: [63, 2]
Generated Node #0,0,0: 94:[63, 2] Operation: 92/46=2
Exploring Operation: 63+46=109, Resulting Numbers: [92, 109]
Generated Node #0,0,1: 94:[92, 109] Operation: 63+46=109
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 94:[63, 2], Operations: ['86-40=46', '92/46=2']
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,94 unequal: No Solution
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,94 unequal: No Solution
No 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: 94:[92, 109], Operations: ['86-40=46', '63+46=109']
Exploring Operation: 109-92=17, Resulting Numbers: [17]
17,94 unequal: No Solution
Exploring Operation: 92+109=201, Resulting Numbers: [201]
201,94 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: 94:[86, 92, 103], Operations: ['63+40=103']
Exploring Operation: 92-86=6, Resulting Numbers: [103, 6]
Generated Node #0,1,0: 94:[103, 6] Operation: 92-86=6
Exploring Operation: 103-86=17, Resulting Numbers: [92, 17]
Generated Node #0,1,1: 94:[92, 17] Operation: 103-86=17
Moving to Node #0,1,0
Current State: 94:[103, 6], Operations: ['63+40=103', '92-86=6']
Exploring Operation: 103-6=97, Resulting Numbers: [97]
97,94 unequal: No Solution
Exploring Operation: 103+6=109, Resulting Numbers: [109]
109,94 unequal: No Solution
Moving to Node #0,1,1
Current State: 94:[92, 17], Operations: ['63+40=103', '103-86=17']
Exploring Operation: 92-17=75, Resulting Numbers: [75]
75,94 unequal: No Solution
Exploring Operation: 92+17=109, Resulting Numbers: [109]
109,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
91,
94,
12,
70
] | 89 | [
"94-70=24",
"24/12=2",
"91-2=89"
] | Current State: 89:[91, 94, 12, 70], Operations: []
Exploring Operation: 94-70=24, Resulting Numbers: [91, 12, 24]
Generated Node #2: [91, 12, 24] from Operation: 94-70=24
Current State: 89:[91, 12, 24], Operations: ['94-70=24']
Exploring Operation: 24/12=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 24/12=2
Current State: 89:[91, 2], Operations: ['94-70=24', '24/12=2']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[91, 94, 12, 70], Operations: []
Exploring Operation: 12+70=82, Resulting Numbers: [91, 94, 82]
Generated Node #0,0: 89:[91, 94, 82] Operation: 12+70=82
Exploring Operation: 94-12=82, Resulting Numbers: [91, 70, 82]
Generated Node #0,1: 89:[91, 70, 82] Operation: 94-12=82
Exploring Operation: 91-12=79, Resulting Numbers: [94, 70, 79]
Generated Node #0,2: 89:[94, 70, 79] Operation: 91-12=79
Exploring Operation: 91+12=103, Resulting Numbers: [94, 70, 103]
Generated Node #0,3: 89:[94, 70, 103] Operation: 91+12=103
Moving to Node #0,0
Current State: 89:[91, 94, 82], Operations: ['12+70=82']
Exploring Operation: 91-82=9, Resulting Numbers: [94, 9]
Generated Node #0,0,0: 89:[94, 9] Operation: 91-82=9
Exploring Operation: 91+82=173, Resulting Numbers: [94, 173]
Generated Node #0,0,1: 89:[94, 173] Operation: 91+82=173
Exploring Operation: 94-82=12, Resulting Numbers: [91, 12]
Generated Node #0,0,2: 89:[91, 12] Operation: 94-82=12
Exploring Operation: 94+82=176, Resulting Numbers: [91, 176]
Generated Node #0,0,3: 89:[91, 176] Operation: 94+82=176
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 89:[91, 12], Operations: ['12+70=82', '94-82=12']
Exploring Operation: 91*12=1092, Resulting Numbers: [1092]
1092,89 unequal: No Solution
Exploring Operation: 91-12=79, Resulting Numbers: [79]
79,89 unequal: No Solution
Exploring Operation: 91+12=103, Resulting Numbers: [103]
103,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[94, 9], Operations: ['12+70=82', '91-82=9']
Exploring Operation: 94+9=103, Resulting Numbers: [103]
103,89 unequal: No Solution
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,89 unequal: No Solution
Exploring Operation: 94*9=846, Resulting Numbers: [846]
846,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 89:[94, 173], Operations: ['12+70=82', '91+82=173']
Exploring Operation: 94*173=16262, Resulting Numbers: [16262]
16262,89 unequal: No Solution
Exploring Operation: 173-94=79, Resulting Numbers: [79]
79,89 unequal: No Solution
Exploring Operation: 94+173=267, Resulting Numbers: [267]
267,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 89:[91, 176], Operations: ['12+70=82', '94+82=176']
Exploring Operation: 176-91=85, Resulting Numbers: [85]
85,89 unequal: No Solution
Exploring Operation: 91*176=16016, Resulting Numbers: [16016]
16016,89 unequal: No Solution
Exploring Operation: 91+176=267, Resulting Numbers: [267]
267,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 89:[91, 70, 82], Operations: ['94-12=82']
Exploring Operation: 91-70=21, Resulting Numbers: [82, 21]
Generated Node #0,1,0: 89:[82, 21] Operation: 91-70=21
Exploring Operation: 91+70=161, Resulting Numbers: [82, 161]
Generated Node #0,1,1: 89:[82, 161] Operation: 91+70=161
Exploring Operation: 70+82=152, Resulting Numbers: [91, 152]
Generated Node #0,1,2: 89:[91, 152] Operation: 70+82=152
Exploring Operation: 82-70=12, Resulting Numbers: [91, 12]
Generated Node #0,1,3: 89:[91, 12] Operation: 82-70=12
Moving to Node #0,2
Current State: 89:[94, 70, 79], Operations: ['91-12=79']
Exploring Operation: 79-70=9, Resulting Numbers: [94, 9]
Generated Node #0,2,0: 89:[94, 9] Operation: 79-70=9
Exploring Operation: 94-70=24, Resulting Numbers: [79, 24]
Generated Node #0,2,1: 89:[79, 24] Operation: 94-70=24
Exploring Operation: 94+70=164, Resulting Numbers: [79, 164]
Generated Node #0,2,2: 89:[79, 164] Operation: 94+70=164
Exploring Operation: 70+79=149, Resulting Numbers: [94, 149]
Generated Node #0,2,3: 89:[94, 149] Operation: 70+79=149
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 89:[94, 149], Operations: ['91-12=79', '70+79=149']
Exploring Operation: 94*149=14006, Resulting Numbers: [14006]
14006,89 unequal: No Solution
Exploring Operation: 94+149=243, Resulting Numbers: [243]
243,89 unequal: No Solution
Exploring Operation: 149-94=55, Resulting Numbers: [55]
55,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 89:[79, 24], Operations: ['91-12=79', '94-70=24']
Exploring Operation: 79*24=1896, Resulting Numbers: [1896]
1896,89 unequal: No Solution
Exploring Operation: 79+24=103, Resulting Numbers: [103]
103,89 unequal: No Solution
Exploring Operation: 79-24=55, Resulting Numbers: [55]
55,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 89:[94, 9], Operations: ['91-12=79', '79-70=9']
Exploring Operation: 94*9=846, Resulting Numbers: [846]
846,89 unequal: No Solution
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,89 unequal: No Solution
Exploring Operation: 94+9=103, Resulting Numbers: [103]
103,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 89:[79, 164], Operations: ['91-12=79', '94+70=164']
Exploring Operation: 79*164=12956, Resulting Numbers: [12956]
12956,89 unequal: No Solution
Exploring Operation: 79+164=243, Resulting Numbers: [243]
243,89 unequal: No Solution
Exploring Operation: 164-79=85, Resulting Numbers: [85]
85,89 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: 89:[94, 70, 103], Operations: ['91+12=103']
Exploring Operation: 94-70=24, Resulting Numbers: [103, 24]
Generated Node #0,3,0: 89:[103, 24] Operation: 94-70=24
Exploring Operation: 94+70=164, Resulting Numbers: [103, 164]
Generated Node #0,3,1: 89:[103, 164] Operation: 94+70=164
Exploring Operation: 70+103=173, Resulting Numbers: [94, 173]
Generated Node #0,3,2: 89:[94, 173] Operation: 70+103=173
Exploring Operation: 103-70=33, Resulting Numbers: [94, 33]
Generated Node #0,3,3: 89:[94, 33] Operation: 103-70=33
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 89:[94, 33], Operations: ['91+12=103', '103-70=33']
Exploring Operation: 94-33=61, Resulting Numbers: [61]
61,89 unequal: No Solution
Exploring Operation: 94*33=3102, Resulting Numbers: [3102]
3102,89 unequal: No Solution
Exploring Operation: 94+33=127, Resulting Numbers: [127]
127,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 89:[103, 24], Operations: ['91+12=103', '94-70=24']
Exploring Operation: 103-24=79, Resulting Numbers: [79]
79,89 unequal: No Solution
Exploring Operation: 103+24=127, Resulting Numbers: [127]
127,89 unequal: No Solution
Exploring Operation: 103*24=2472, Resulting Numbers: [2472]
2472,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 89:[103, 164], Operations: ['91+12=103', '94+70=164']
Exploring Operation: 103*164=16892, Resulting Numbers: [16892]
16892,89 unequal: No Solution
Exploring Operation: 164-103=61, Resulting Numbers: [61]
61,89 unequal: No Solution
Exploring Operation: 103+164=267, Resulting Numbers: [267]
267,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 89:[94, 173], Operations: ['91+12=103', '70+103=173']
Exploring Operation: 94+173=267, Resulting Numbers: [267]
267,89 unequal: No Solution
Exploring Operation: 94*173=16262, Resulting Numbers: [16262]
16262,89 unequal: No Solution
Exploring Operation: 173-94=79, Resulting Numbers: [79]
79,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 89:[91, 152], Operations: ['94-12=82', '70+82=152']
Exploring Operation: 91*152=13832, Resulting Numbers: [13832]
13832,89 unequal: No Solution
Exploring Operation: 91+152=243, Resulting Numbers: [243]
243,89 unequal: No Solution
Exploring Operation: 152-91=61, Resulting Numbers: [61]
61,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[82, 21], Operations: ['94-12=82', '91-70=21']
Exploring Operation: 82-21=61, Resulting Numbers: [61]
61,89 unequal: No Solution
Exploring Operation: 82+21=103, Resulting Numbers: [103]
103,89 unequal: No Solution
Exploring Operation: 82*21=1722, Resulting Numbers: [1722]
1722,89 unequal: No Solution
Moving to Node #0,1,3
Current State: 89:[91, 12], Operations: ['94-12=82', '82-70=12']
Exploring Operation: 91-12=79, Resulting Numbers: [79]
79,89 unequal: No Solution
Exploring Operation: 91*12=1092, Resulting Numbers: [1092]
1092,89 unequal: No Solution
Exploring Operation: 91+12=103, Resulting Numbers: [103]
103,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[82, 161], Operations: ['94-12=82', '91+70=161']
Exploring Operation: 161-82=79, Resulting Numbers: [79]
79,89 unequal: No Solution
Exploring Operation: 82*161=13202, Resulting Numbers: [13202]
13202,89 unequal: No Solution
Exploring Operation: 82+161=243, Resulting Numbers: [243]
243,89 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
24,
33,
50,
27
] | 68 | [
"33-24=9",
"50+27=77",
"77-9=68"
] | Current State: 68:[24, 33, 50, 27], Operations: []
Exploring Operation: 33-24=9, Resulting Numbers: [50, 27, 9]
Generated Node #2: [50, 27, 9] from Operation: 33-24=9
Current State: 68:[50, 27, 9], Operations: ['33-24=9']
Exploring Operation: 50+27=77, Resulting Numbers: [9, 77]
Generated Node #3: [9, 77] from Operation: 50+27=77
Current State: 68:[9, 77], Operations: ['33-24=9', '50+27=77']
Exploring Operation: 77-9=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[24, 33, 50, 27], Operations: []
Exploring Operation: 24+50=74, Resulting Numbers: [33, 27, 74]
Generated Node #0,0: 68:[33, 27, 74] Operation: 24+50=74
Exploring Operation: 50-33=17, Resulting Numbers: [24, 27, 17]
Generated Node #0,1: 68:[24, 27, 17] Operation: 50-33=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[33, 27, 74], Operations: ['24+50=74']
Exploring Operation: 33-27=6, Resulting Numbers: [74, 6]
Generated Node #0,0,0: 68:[74, 6] Operation: 33-27=6
Exploring Operation: 33+27=60, Resulting Numbers: [74, 60]
Generated Node #0,0,1: 68:[74, 60] Operation: 33+27=60
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 68:[74, 6], Operations: ['24+50=74', '33-27=6']
Exploring Operation: 74-6=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[24, 33, 50, 27], Operations: []
Exploring Operation: 24+50=74, Resulting Numbers: [33, 27, 74]
Generated Node #0,0: 68:[33, 27, 74] Operation: 24+50=74
Moving to Node #0,0
Current State: 68:[33, 27, 74], Operations: ['24+50=74']
Exploring Operation: 33-27=6, Resulting Numbers: [74, 6]
Generated Node #0,0,0: 68:[74, 6] Operation: 33-27=6
Moving to Node #0,0,0
Current State: 68:[74, 6], Operations: ['24+50=74', '33-27=6']
Exploring Operation: 74-6=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
59,
6,
95,
65
] | 35 | [
"59+6=65",
"95-65=30",
"65-30=35"
] | Current State: 35:[59, 6, 95, 65], Operations: []
Exploring Operation: 59+6=65, Resulting Numbers: [95, 65, 65]
Generated Node #2: [95, 65, 65] from Operation: 59+6=65
Current State: 35:[95, 65, 65], Operations: ['59+6=65']
Exploring Operation: 95-65=30, Resulting Numbers: [30]
30,35 equal: Goal Reached
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[59, 6, 95, 65], Operations: []
Exploring Operation: 65-59=6, Resulting Numbers: [6, 95, 6]
Generated Node #0,0: 35:[6, 95, 6] Operation: 65-59=6
Exploring Operation: 95-65=30, Resulting Numbers: [59, 6, 30]
Generated Node #0,1: 35:[59, 6, 30] Operation: 95-65=30
Exploring Operation: 95-6=89, Resulting Numbers: [59, 65, 89]
Generated Node #0,2: 35:[59, 65, 89] Operation: 95-6=89
Exploring Operation: 95-59=36, Resulting Numbers: [6, 65, 36]
Generated Node #0,3: 35:[6, 65, 36] Operation: 95-59=36
Exploring Operation: 59-6=53, Resulting Numbers: [95, 65, 53]
Generated Node #0,4: 35:[95, 65, 53] Operation: 59-6=53
Moving to Node #0,1
Current State: 35:[59, 6, 30], Operations: ['95-65=30']
Exploring Operation: 59-30=29, Resulting Numbers: [6, 29]
Generated Node #0,1,0: 35:[6, 29] Operation: 59-30=29
Exploring Operation: 59+6=65, Resulting Numbers: [30, 65]
Generated Node #0,1,1: 35:[30, 65] Operation: 59+6=65
Exploring Operation: 59-6=53, Resulting Numbers: [30, 53]
Generated Node #0,1,2: 35:[30, 53] Operation: 59-6=53
Exploring Operation: 6+30=36, Resulting Numbers: [59, 36]
Generated Node #0,1,3: 35:[59, 36] Operation: 6+30=36
Exploring Operation: 30/6=5, Resulting Numbers: [59, 5]
Generated Node #0,1,4: 35:[59, 5] Operation: 30/6=5
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 35:[6, 29], Operations: ['95-65=30', '59-30=29']
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[59, 6, 95, 65], Operations: []
Exploring Operation: 95-65=30, Resulting Numbers: [59, 6, 30]
Generated Node #0,1: 35:[59, 6, 30] Operation: 95-65=30
Moving to Node #0,1
Current State: 35:[59, 6, 30], Operations: ['95-65=30']
Exploring Operation: 59-30=29, Resulting Numbers: [6, 29]
Generated Node #0,1,0: 35:[6, 29] Operation: 59-30=29
Moving to Node #0,1,0
Current State: 35:[6, 29], Operations: ['95-65=30', '59-30=29']
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.