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 |
|---|---|---|---|---|---|---|---|---|
[
42,
12,
27,
78
] | 39 | [
"42+12=54",
"27*78=2106",
"2106/54=39"
] | Current State: 39:[42, 12, 27, 78], Operations: []
Exploring Operation: 42+12=54, Resulting Numbers: [27, 78, 54]
Generated Node #2: [27, 78, 54] from Operation: 42+12=54
Current State: 39:[27, 78, 54], Operations: ['42+12=54']
Exploring Operation: 27*78=2106, Resulting Numbers: [54, 2106]
Generated Node #3: [54, 2106] from Operation: 27*78=2106
Current State: 39:[54, 2106], Operations: ['42+12=54', '27*78=2106']
Exploring Operation: 2106/54=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[42, 12, 27, 78], Operations: []
Exploring Operation: 78-42=36, Resulting Numbers: [12, 27, 36]
Generated Node #0,0: 39:[12, 27, 36] Operation: 78-42=36
Exploring Operation: 42-27=15, Resulting Numbers: [12, 78, 15]
Generated Node #0,1: 39:[12, 78, 15] Operation: 42-27=15
Exploring Operation: 78-27=51, Resulting Numbers: [42, 12, 51]
Generated Node #0,2: 39:[42, 12, 51] Operation: 78-27=51
Exploring Operation: 12+27=39, Resulting Numbers: [42, 78, 39]
Generated Node #0,3: 39:[42, 78, 39] Operation: 12+27=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[12, 27, 36], Operations: ['78-42=36']
Exploring Operation: 36-27=9, Resulting Numbers: [12, 9]
Generated Node #0,0,0: 39:[12, 9] Operation: 36-27=9
Exploring Operation: 36/12=3, Resulting Numbers: [27, 3]
Generated Node #0,0,1: 39:[27, 3] Operation: 36/12=3
Exploring Operation: 12+27=39, Resulting Numbers: [36, 39]
Generated Node #0,0,2: 39:[36, 39] Operation: 12+27=39
Exploring Operation: 27-12=15, Resulting Numbers: [36, 15]
Generated Node #0,0,3: 39:[36, 15] Operation: 27-12=15
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 39:[36, 39], Operations: ['78-42=36', '12+27=39']
Exploring Operation: 36*39=1404, Resulting Numbers: [1404]
1404,39 unequal: No Solution
Exploring Operation: 36+39=75, Resulting Numbers: [75]
75,39 unequal: No Solution
Exploring Operation: 39-36=3, Resulting Numbers: [3]
3,39 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 #0,0,0
Current State: 39:[12, 9], Operations: ['78-42=36', '36-27=9']
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,39 unequal: No Solution
Exploring Operation: 12*9=108, Resulting Numbers: [108]
108,39 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 #0,0,3
Current State: 39:[36, 15], Operations: ['78-42=36', '27-12=15']
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,39 unequal: No Solution
Exploring Operation: 36+15=51, Resulting Numbers: [51]
51,39 unequal: No Solution
Exploring Operation: 36*15=540, Resulting Numbers: [540]
540,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 39:[27, 3], Operations: ['78-42=36', '36/12=3']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,39 unequal: No Solution
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,39 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,39 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 #0,2
Current State: 39:[42, 12, 51], Operations: ['78-27=51']
Exploring Operation: 51-12=39, Resulting Numbers: [42, 39]
Generated Node #0,2,0: 39:[42, 39] Operation: 51-12=39
Exploring Operation: 42-12=30, Resulting Numbers: [51, 30]
Generated Node #0,2,1: 39:[51, 30] Operation: 42-12=30
Exploring Operation: 42+12=54, Resulting Numbers: [51, 54]
Generated Node #0,2,2: 39:[51, 54] Operation: 42+12=54
Exploring Operation: 51-42=9, Resulting Numbers: [12, 9]
Generated Node #0,2,3: 39:[12, 9] Operation: 51-42=9
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 39:[42, 39], Operations: ['78-27=51', '51-12=39']
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 42*39=1638, Resulting Numbers: [1638]
1638,39 unequal: No Solution
Exploring Operation: 42+39=81, Resulting Numbers: [81]
81,39 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 #0,2,3
Current State: 39:[12, 9], Operations: ['78-27=51', '51-42=9']
Exploring Operation: 12*9=108, Resulting Numbers: [108]
108,39 unequal: No Solution
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,39 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 #0,2,1
Current State: 39:[51, 30], Operations: ['78-27=51', '42-12=30']
Exploring Operation: 51+30=81, Resulting Numbers: [81]
81,39 unequal: No Solution
Exploring Operation: 51-30=21, Resulting Numbers: [21]
21,39 unequal: No Solution
Exploring Operation: 51*30=1530, Resulting Numbers: [1530]
1530,39 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 #0,2,2
Current State: 39:[51, 54], Operations: ['78-27=51', '42+12=54']
Exploring Operation: 54-51=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 51*54=2754, Resulting Numbers: [2754]
2754,39 unequal: No Solution
Exploring Operation: 51+54=105, Resulting Numbers: [105]
105,39 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 #0,1
Current State: 39:[12, 78, 15], Operations: ['42-27=15']
Exploring Operation: 78-15=63, Resulting Numbers: [12, 63]
Generated Node #0,1,0: 39:[12, 63] Operation: 78-15=63
Exploring Operation: 15-12=3, Resulting Numbers: [78, 3]
Generated Node #0,1,1: 39:[78, 3] Operation: 15-12=3
Exploring Operation: 78-12=66, Resulting Numbers: [15, 66]
Generated Node #0,1,2: 39:[15, 66] Operation: 78-12=66
Exploring Operation: 12+15=27, Resulting Numbers: [78, 27]
Generated Node #0,1,3: 39:[78, 27] Operation: 12+15=27
Moving to Node #0,1,0
Current State: 39:[12, 63], Operations: ['42-27=15', '78-15=63']
Exploring Operation: 63-12=51, Resulting Numbers: [51]
51,39 unequal: No Solution
Exploring Operation: 12+63=75, Resulting Numbers: [75]
75,39 unequal: No Solution
Exploring Operation: 12*63=756, Resulting Numbers: [756]
756,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[15, 66], Operations: ['42-27=15', '78-12=66']
Exploring Operation: 15*66=990, Resulting Numbers: [990]
990,39 unequal: No Solution
Exploring Operation: 15+66=81, Resulting Numbers: [81]
81,39 unequal: No Solution
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[78, 3], Operations: ['42-27=15', '15-12=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,39 unequal: No Solution
Exploring Operation: 78*3=234, Resulting Numbers: [234]
234,39 unequal: No Solution
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,39 unequal: No Solution
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,39 unequal: No Solution
Moving to Node #0,1,3
Current State: 39:[78, 27], Operations: ['42-27=15', '12+15=27']
Exploring Operation: 78+27=105, Resulting Numbers: [105]
105,39 unequal: No Solution
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,39 unequal: No Solution
Exploring Operation: 78*27=2106, Resulting Numbers: [2106]
2106,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 39:[42, 78, 39], Operations: ['12+27=39']
Exploring Operation: 42-39=3, Resulting Numbers: [78, 3]
Generated Node #0,3,0: 39:[78, 3] Operation: 42-39=3
Exploring Operation: 78-39=39, Resulting Numbers: [42, 39]
Generated Node #0,3,1: 39:[42, 39] Operation: 78-39=39
Exploring Operation: 78-42=36, Resulting Numbers: [39, 36]
Generated Node #0,3,2: 39:[39, 36] Operation: 78-42=36
Exploring Operation: 78/39=2, Resulting Numbers: [42, 2]
Generated Node #0,3,3: 39:[42, 2] Operation: 78/39=2
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 39:[42, 39], Operations: ['12+27=39', '78-39=39']
Exploring Operation: 42+39=81, Resulting Numbers: [81]
81,39 unequal: No Solution
Exploring Operation: 42-39=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 42*39=1638, Resulting Numbers: [1638]
1638,39 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 #0,3,2
Current State: 39:[39, 36], Operations: ['12+27=39', '78-42=36']
Exploring Operation: 39*36=1404, Resulting Numbers: [1404]
1404,39 unequal: No Solution
Exploring Operation: 39-36=3, Resulting Numbers: [3]
3,39 unequal: No Solution
Exploring Operation: 39+36=75, Resulting Numbers: [75]
75,39 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 #0,3,3
Current State: 39:[42, 2], Operations: ['12+27=39', '78/39=2']
Exploring Operation: 42+2=44, Resulting Numbers: [44]
44,39 unequal: No Solution
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,39 unequal: No Solution
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,39 unequal: No Solution
Exploring Operation: 42-2=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 #0,3,0
Current State: 39:[78, 3], Operations: ['12+27=39', '42-39=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,39 unequal: No Solution
Exploring Operation: 78*3=234, Resulting Numbers: [234]
234,39 unequal: No Solution
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,39 unequal: No Solution
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,39 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
No solution found.
| 0 | hs_4 | mult_heuristic |
[
59,
80,
53,
90
] | 95 | [
"59-53=6",
"90/6=15",
"80+15=95"
] | Current State: 95:[59, 80, 53, 90], Operations: []
Exploring Operation: 59-53=6, Resulting Numbers: [80, 90, 6]
Generated Node #2: [80, 90, 6] from Operation: 59-53=6
Current State: 95:[80, 90, 6], Operations: ['59-53=6']
Exploring Operation: 90/6=15, Resulting Numbers: [80, 15]
Generated Node #3: [80, 15] from Operation: 90/6=15
Current State: 95:[80, 15], Operations: ['59-53=6', '90/6=15']
Exploring Operation: 80+15=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[59, 80, 53, 90], Operations: []
Exploring Operation: 59+53=112, Resulting Numbers: [80, 90, 112]
Generated Node #0,0: 95:[80, 90, 112] Operation: 59+53=112
Exploring Operation: 59-53=6, Resulting Numbers: [80, 90, 6]
Generated Node #0,1: 95:[80, 90, 6] Operation: 59-53=6
Exploring Operation: 80-59=21, Resulting Numbers: [53, 90, 21]
Generated Node #0,2: 95:[53, 90, 21] Operation: 80-59=21
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[80, 90, 6], Operations: ['59-53=6']
Exploring Operation: 90+6=96, Resulting Numbers: [80, 96]
Generated Node #0,1,0: 95:[80, 96] Operation: 90+6=96
Exploring Operation: 80+6=86, Resulting Numbers: [90, 86]
Generated Node #0,1,1: 95:[90, 86] Operation: 80+6=86
Exploring Operation: 90-80=10, Resulting Numbers: [6, 10]
Generated Node #0,1,2: 95:[6, 10] Operation: 90-80=10
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 95:[6, 10], Operations: ['59-53=6', '90-80=10']
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,95 unequal: No Solution
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 95:[90, 86], Operations: ['59-53=6', '80+6=86']
Exploring Operation: 90*86=7740, Resulting Numbers: [7740]
7740,95 unequal: No Solution
Exploring Operation: 90+86=176, Resulting Numbers: [176]
176,95 unequal: No Solution
Exploring Operation: 90-86=4, Resulting Numbers: [4]
4,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 95:[80, 96], Operations: ['59-53=6', '90+6=96']
Exploring Operation: 80+96=176, Resulting Numbers: [176]
176,95 unequal: No Solution
Exploring Operation: 80*96=7680, Resulting Numbers: [7680]
7680,95 unequal: No Solution
Exploring Operation: 96-80=16, Resulting Numbers: [16]
16,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[80, 90, 112], Operations: ['59+53=112']
Exploring Operation: 90-80=10, Resulting Numbers: [112, 10]
Generated Node #0,0,0: 95:[112, 10] Operation: 90-80=10
Exploring Operation: 112-90=22, Resulting Numbers: [80, 22]
Generated Node #0,0,1: 95:[80, 22] Operation: 112-90=22
Exploring Operation: 112-80=32, Resulting Numbers: [90, 32]
Generated Node #0,0,2: 95:[90, 32] Operation: 112-80=32
Moving to Node #0,0,1
Current State: 95:[80, 22], Operations: ['59+53=112', '112-90=22']
Exploring Operation: 80-22=58, Resulting Numbers: [58]
58,95 unequal: No Solution
Exploring Operation: 80+22=102, Resulting Numbers: [102]
102,95 unequal: No Solution
Exploring Operation: 80*22=1760, Resulting Numbers: [1760]
1760,95 unequal: No Solution
Moving to Node #0,0,2
Current State: 95:[90, 32], Operations: ['59+53=112', '112-80=32']
Exploring Operation: 90-32=58, Resulting Numbers: [58]
58,95 unequal: No Solution
Exploring Operation: 90+32=122, Resulting Numbers: [122]
122,95 unequal: No Solution
Exploring Operation: 90*32=2880, Resulting Numbers: [2880]
2880,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[112, 10], Operations: ['59+53=112', '90-80=10']
Exploring Operation: 112*10=1120, Resulting Numbers: [1120]
1120,95 unequal: No Solution
Exploring Operation: 112+10=122, Resulting Numbers: [122]
122,95 unequal: No Solution
Exploring Operation: 112-10=102, Resulting Numbers: [102]
102,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[53, 90, 21], Operations: ['80-59=21']
Exploring Operation: 53+21=74, Resulting Numbers: [90, 74]
Generated Node #0,2,0: 95:[90, 74] Operation: 53+21=74
Exploring Operation: 90-53=37, Resulting Numbers: [21, 37]
Generated Node #0,2,1: 95:[21, 37] Operation: 90-53=37
Exploring Operation: 53-21=32, Resulting Numbers: [90, 32]
Generated Node #0,2,2: 95:[90, 32] Operation: 53-21=32
Moving to Node #0,2,2
Current State: 95:[90, 32], Operations: ['80-59=21', '53-21=32']
Exploring Operation: 90-32=58, Resulting Numbers: [58]
58,95 unequal: No Solution
Exploring Operation: 90+32=122, Resulting Numbers: [122]
122,95 unequal: No Solution
Exploring Operation: 90*32=2880, Resulting Numbers: [2880]
2880,95 unequal: No Solution
Moving to Node #0,2,1
Current State: 95:[21, 37], Operations: ['80-59=21', '90-53=37']
Exploring Operation: 21+37=58, Resulting Numbers: [58]
58,95 unequal: No Solution
Exploring Operation: 21*37=777, Resulting Numbers: [777]
777,95 unequal: No Solution
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Moving to Node #0,2,0
Current State: 95:[90, 74], Operations: ['80-59=21', '53+21=74']
Exploring Operation: 90+74=164, Resulting Numbers: [164]
164,95 unequal: No Solution
Exploring Operation: 90-74=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Exploring Operation: 90*74=6660, Resulting Numbers: [6660]
6660,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
5,
93,
99,
97
] | 31 | [
"99-5=94",
"97-94=3",
"93/3=31"
] | Current State: 31:[5, 93, 99, 97], Operations: []
Exploring Operation: 99-5=94, Resulting Numbers: [93, 97, 94]
Generated Node #2: [93, 97, 94] from Operation: 99-5=94
Current State: 31:[93, 97, 94], Operations: ['99-5=94']
Exploring Operation: 97-94=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 97-94=3
Current State: 31:[93, 3], Operations: ['99-5=94', '97-94=3']
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[5, 93, 99, 97], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [5, 93, 2]
Generated Node #0,0: 31:[5, 93, 2] Operation: 99-97=2
Exploring Operation: 97-93=4, Resulting Numbers: [5, 99, 4]
Generated Node #0,1: 31:[5, 99, 4] Operation: 97-93=4
Exploring Operation: 99-93=6, Resulting Numbers: [5, 97, 6]
Generated Node #0,2: 31:[5, 97, 6] Operation: 99-93=6
Moving to Node #0,0
Current State: 31:[5, 93, 2], Operations: ['99-97=2']
Exploring Operation: 93-5=88, Resulting Numbers: [2, 88]
Generated Node #0,0,0: 31:[2, 88] Operation: 93-5=88
Exploring Operation: 5*2=10, Resulting Numbers: [93, 10]
Generated Node #0,0,1: 31:[93, 10] Operation: 5*2=10
Exploring Operation: 5+2=7, Resulting Numbers: [93, 7]
Generated Node #0,0,2: 31:[93, 7] Operation: 5+2=7
Moving to Node #0,2
Current State: 31:[5, 97, 6], Operations: ['99-93=6']
Exploring Operation: 5*6=30, Resulting Numbers: [97, 30]
Generated Node #0,2,0: 31:[97, 30] Operation: 5*6=30
Exploring Operation: 97-5=92, Resulting Numbers: [6, 92]
Generated Node #0,2,1: 31:[6, 92] Operation: 97-5=92
Exploring Operation: 5+6=11, Resulting Numbers: [97, 11]
Generated Node #0,2,2: 31:[97, 11] Operation: 5+6=11
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 31:[97, 30], Operations: ['99-93=6', '5*6=30']
Exploring Operation: 97-30=67, Resulting Numbers: [67]
67,31 unequal: No Solution
Exploring Operation: 97+30=127, Resulting Numbers: [127]
127,31 unequal: No Solution
Exploring Operation: 97*30=2910, Resulting Numbers: [2910]
2910,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 31:[6, 92], Operations: ['99-93=6', '97-5=92']
Exploring Operation: 6*92=552, Resulting Numbers: [552]
552,31 unequal: No Solution
Exploring Operation: 6+92=98, Resulting Numbers: [98]
98,31 unequal: No Solution
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 31:[97, 11], Operations: ['99-93=6', '5+6=11']
Exploring Operation: 97*11=1067, Resulting Numbers: [1067]
1067,31 unequal: No Solution
Exploring Operation: 97+11=108, Resulting Numbers: [108]
108,31 unequal: No Solution
Exploring Operation: 97-11=86, Resulting Numbers: [86]
86,31 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: 31:[5, 99, 4], Operations: ['97-93=4']
Exploring Operation: 99-5=94, Resulting Numbers: [4, 94]
Generated Node #0,1,0: 31:[4, 94] Operation: 99-5=94
Exploring Operation: 5+4=9, Resulting Numbers: [99, 9]
Generated Node #0,1,1: 31:[99, 9] Operation: 5+4=9
Exploring Operation: 5*4=20, Resulting Numbers: [99, 20]
Generated Node #0,1,2: 31:[99, 20] Operation: 5*4=20
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 31:[99, 20], Operations: ['97-93=4', '5*4=20']
Exploring Operation: 99+20=119, Resulting Numbers: [119]
119,31 unequal: No Solution
Exploring Operation: 99-20=79, Resulting Numbers: [79]
79,31 unequal: No Solution
Exploring Operation: 99*20=1980, Resulting Numbers: [1980]
1980,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 31:[4, 94], Operations: ['97-93=4', '99-5=94']
Exploring Operation: 4+94=98, Resulting Numbers: [98]
98,31 unequal: No Solution
Exploring Operation: 4*94=376, Resulting Numbers: [376]
376,31 unequal: No Solution
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 31:[99, 9], Operations: ['97-93=4', '5+4=9']
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,31 unequal: No Solution
Exploring Operation: 99-9=90, Resulting Numbers: [90]
90,31 unequal: No Solution
Exploring Operation: 99+9=108, Resulting Numbers: [108]
108,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 31:[93, 10], Operations: ['99-97=2', '5*2=10']
Exploring Operation: 93*10=930, Resulting Numbers: [930]
930,31 unequal: No Solution
Exploring Operation: 93-10=83, Resulting Numbers: [83]
83,31 unequal: No Solution
Exploring Operation: 93+10=103, Resulting Numbers: [103]
103,31 unequal: No Solution
Moving to Node #0,0,0
Current State: 31:[2, 88], Operations: ['99-97=2', '93-5=88']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,31 unequal: No Solution
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,31 unequal: No Solution
Exploring Operation: 2+88=90, Resulting Numbers: [90]
90,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[93, 7], Operations: ['99-97=2', '5+2=7']
Exploring Operation: 93-7=86, Resulting Numbers: [86]
86,31 unequal: No Solution
Exploring Operation: 93*7=651, Resulting Numbers: [651]
651,31 unequal: No Solution
Exploring Operation: 93+7=100, Resulting Numbers: [100]
100,31 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
80,
37,
83,
42
] | 83 | [
"80-37=43",
"43-42=1",
"83*1=83"
] | Current State: 83:[80, 37, 83, 42], Operations: []
Exploring Operation: 80-37=43, Resulting Numbers: [83, 42, 43]
Generated Node #2: [83, 42, 43] from Operation: 80-37=43
Current State: 83:[83, 42, 43], Operations: ['80-37=43']
Exploring Operation: 43-42=1, Resulting Numbers: [83, 1]
Generated Node #3: [83, 1] from Operation: 43-42=1
Current State: 83:[83, 1], Operations: ['80-37=43', '43-42=1']
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[80, 37, 83, 42], Operations: []
Exploring Operation: 37+83=120, Resulting Numbers: [80, 42, 120]
Generated Node #0,0: 83:[80, 42, 120] Operation: 37+83=120
Exploring Operation: 37+42=79, Resulting Numbers: [80, 83, 79]
Generated Node #0,1: 83:[80, 83, 79] Operation: 37+42=79
Exploring Operation: 80+37=117, Resulting Numbers: [83, 42, 117]
Generated Node #0,2: 83:[83, 42, 117] Operation: 80+37=117
Exploring Operation: 83-37=46, Resulting Numbers: [80, 42, 46]
Generated Node #0,3: 83:[80, 42, 46] Operation: 83-37=46
Exploring Operation: 80-37=43, Resulting Numbers: [83, 42, 43]
Generated Node #0,4: 83:[83, 42, 43] Operation: 80-37=43
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[80, 83, 79], Operations: ['37+42=79']
Exploring Operation: 80+83=163, Resulting Numbers: [79, 163]
Generated Node #0,1,0: 83:[79, 163] Operation: 80+83=163
Exploring Operation: 83+79=162, Resulting Numbers: [80, 162]
Generated Node #0,1,1: 83:[80, 162] Operation: 83+79=162
Exploring Operation: 83-79=4, Resulting Numbers: [80, 4]
Generated Node #0,1,2: 83:[80, 4] Operation: 83-79=4
Exploring Operation: 80-79=1, Resulting Numbers: [83, 1]
Generated Node #0,1,3: 83:[83, 1] Operation: 80-79=1
Exploring Operation: 80+79=159, Resulting Numbers: [83, 159]
Generated Node #0,1,4: 83:[83, 159] Operation: 80+79=159
Moving to Node #0,1,4
Current State: 83:[83, 159], Operations: ['37+42=79', '80+79=159']
Exploring Operation: 159-83=76, Resulting Numbers: [76]
76,83 unequal: No Solution
Exploring Operation: 83*159=13197, Resulting Numbers: [13197]
13197,83 unequal: No Solution
Exploring Operation: 83+159=242, Resulting Numbers: [242]
242,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[80, 4], Operations: ['37+42=79', '83-79=4']
Exploring Operation: 80*4=320, Resulting Numbers: [320]
320,83 unequal: No Solution
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,83 unequal: No Solution
Exploring Operation: 80+4=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 80-4=76, Resulting Numbers: [76]
76,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[80, 162], Operations: ['37+42=79', '83+79=162']
Exploring Operation: 80*162=12960, Resulting Numbers: [12960]
12960,83 unequal: No Solution
Exploring Operation: 162-80=82, Resulting Numbers: [82]
82,83 unequal: No Solution
Exploring Operation: 80+162=242, Resulting Numbers: [242]
242,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[83, 1], Operations: ['37+42=79', '80-79=1']
Exploring Operation: 83/1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[80, 37, 83, 42], Operations: []
Exploring Operation: 37+42=79, Resulting Numbers: [80, 83, 79]
Generated Node #0,1: 83:[80, 83, 79] Operation: 37+42=79
Moving to Node #0,1
Current State: 83:[80, 83, 79], Operations: ['37+42=79']
Exploring Operation: 80-79=1, Resulting Numbers: [83, 1]
Generated Node #0,1,3: 83:[83, 1] Operation: 80-79=1
Moving to Node #0,1,3
Current State: 83:[83, 1], Operations: ['37+42=79', '80-79=1']
Exploring Operation: 83/1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | mult_heuristic |
[
52,
80,
84,
66
] | 46 | [
"80-52=28",
"84-66=18",
"28+18=46"
] | Current State: 46:[52, 80, 84, 66], Operations: []
Exploring Operation: 80-52=28, Resulting Numbers: [84, 66, 28]
Generated Node #2: [84, 66, 28] from Operation: 80-52=28
Current State: 46:[84, 66, 28], Operations: ['80-52=28']
Exploring Operation: 84-66=18, Resulting Numbers: [28, 18]
Generated Node #3: [28, 18] from Operation: 84-66=18
Current State: 46:[28, 18], Operations: ['80-52=28', '84-66=18']
Exploring Operation: 28+18=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[52, 80, 84, 66], Operations: []
Exploring Operation: 84-52=32, Resulting Numbers: [80, 66, 32]
Generated Node #0,0: 46:[80, 66, 32] Operation: 84-52=32
Exploring Operation: 80-66=14, Resulting Numbers: [52, 84, 14]
Generated Node #0,1: 46:[52, 84, 14] Operation: 80-66=14
Exploring Operation: 80-52=28, Resulting Numbers: [84, 66, 28]
Generated Node #0,2: 46:[84, 66, 28] Operation: 80-52=28
Exploring Operation: 84-66=18, Resulting Numbers: [52, 80, 18]
Generated Node #0,3: 46:[52, 80, 18] Operation: 84-66=18
Exploring Operation: 84-80=4, Resulting Numbers: [52, 66, 4]
Generated Node #0,4: 46:[52, 66, 4] Operation: 84-80=4
Start Sub Search at level 1: Moving to Node #0,4
Current State: 46:[52, 66, 4], Operations: ['84-80=4']
Exploring Operation: 52-4=48, Resulting Numbers: [66, 48]
Generated Node #0,4,0: 46:[66, 48] Operation: 52-4=48
Exploring Operation: 66-4=62, Resulting Numbers: [52, 62]
Generated Node #0,4,1: 46:[52, 62] Operation: 66-4=62
Exploring Operation: 52+4=56, Resulting Numbers: [66, 56]
Generated Node #0,4,2: 46:[66, 56] Operation: 52+4=56
Exploring Operation: 66-52=14, Resulting Numbers: [4, 14]
Generated Node #0,4,3: 46:[4, 14] Operation: 66-52=14
Exploring Operation: 52/4=13, Resulting Numbers: [66, 13]
Generated Node #0,4,4: 46:[66, 13] Operation: 52/4=13
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 46:[4, 14], Operations: ['84-80=4', '66-52=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,46 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,46 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 46:[66, 48], Operations: ['84-80=4', '52-4=48']
Exploring Operation: 66+48=114, Resulting Numbers: [114]
114,46 unequal: No Solution
Exploring Operation: 66*48=3168, Resulting Numbers: [3168]
3168,46 unequal: No Solution
Exploring Operation: 66-48=18, Resulting Numbers: [18]
18,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 46:[52, 62], Operations: ['84-80=4', '66-4=62']
Exploring Operation: 52*62=3224, Resulting Numbers: [3224]
3224,46 unequal: No Solution
Exploring Operation: 62-52=10, Resulting Numbers: [10]
10,46 unequal: No Solution
Exploring Operation: 52+62=114, Resulting Numbers: [114]
114,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 46:[66, 56], Operations: ['84-80=4', '52+4=56']
Exploring Operation: 66-56=10, Resulting Numbers: [10]
10,46 unequal: No Solution
Exploring Operation: 66+56=122, Resulting Numbers: [122]
122,46 unequal: No Solution
Exploring Operation: 66*56=3696, Resulting Numbers: [3696]
3696,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 46:[66, 13], Operations: ['84-80=4', '52/4=13']
Exploring Operation: 66+13=79, Resulting Numbers: [79]
79,46 unequal: No Solution
Exploring Operation: 66-13=53, Resulting Numbers: [53]
53,46 unequal: No Solution
Exploring Operation: 66*13=858, Resulting Numbers: [858]
858,46 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: 46:[52, 80, 18], Operations: ['84-66=18']
Exploring Operation: 80+18=98, Resulting Numbers: [52, 98]
Generated Node #0,3,0: 46:[52, 98] Operation: 80+18=98
Exploring Operation: 52+18=70, Resulting Numbers: [80, 70]
Generated Node #0,3,1: 46:[80, 70] Operation: 52+18=70
Exploring Operation: 80-52=28, Resulting Numbers: [18, 28]
Generated Node #0,3,2: 46:[18, 28] Operation: 80-52=28
Exploring Operation: 80-18=62, Resulting Numbers: [52, 62]
Generated Node #0,3,3: 46:[52, 62] Operation: 80-18=62
Exploring Operation: 52-18=34, Resulting Numbers: [80, 34]
Generated Node #0,3,4: 46:[80, 34] Operation: 52-18=34
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 46:[18, 28], Operations: ['84-66=18', '80-52=28']
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,46 unequal: No Solution
Exploring Operation: 18+28=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[52, 80, 84, 66], Operations: []
Exploring Operation: 84-66=18, Resulting Numbers: [52, 80, 18]
Generated Node #0,3: 46:[52, 80, 18] Operation: 84-66=18
Moving to Node #0,3
Current State: 46:[52, 80, 18], Operations: ['84-66=18']
Exploring Operation: 80-52=28, Resulting Numbers: [18, 28]
Generated Node #0,3,2: 46:[18, 28] Operation: 80-52=28
Moving to Node #0,3,2
Current State: 46:[18, 28], Operations: ['84-66=18', '80-52=28']
Exploring Operation: 18+28=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
8,
37,
55,
10
] | 70 | [
"8*55=440",
"37*10=370",
"440-370=70"
] | Current State: 70:[8, 37, 55, 10], Operations: []
Exploring Operation: 8*55=440, Resulting Numbers: [37, 10, 440]
Generated Node #2: [37, 10, 440] from Operation: 8*55=440
Current State: 70:[37, 10, 440], Operations: ['8*55=440']
Exploring Operation: 37*10=370, Resulting Numbers: [440, 370]
Generated Node #3: [440, 370] from Operation: 37*10=370
Current State: 70:[440, 370], Operations: ['8*55=440', '37*10=370']
Exploring Operation: 440-370=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[8, 37, 55, 10], Operations: []
Exploring Operation: 55-37=18, Resulting Numbers: [8, 10, 18]
Generated Node #0,0: 70:[8, 10, 18] Operation: 55-37=18
Exploring Operation: 55+10=65, Resulting Numbers: [8, 37, 65]
Generated Node #0,1: 70:[8, 37, 65] Operation: 55+10=65
Exploring Operation: 8+55=63, Resulting Numbers: [37, 10, 63]
Generated Node #0,2: 70:[37, 10, 63] Operation: 8+55=63
Moving to Node #0,0
Current State: 70:[8, 10, 18], Operations: ['55-37=18']
Exploring Operation: 18-10=8, Resulting Numbers: [8, 8]
Generated Node #0,0,0: 70:[8, 8] Operation: 18-10=8
Exploring Operation: 10-8=2, Resulting Numbers: [18, 2]
Generated Node #0,0,1: 70:[18, 2] Operation: 10-8=2
Exploring Operation: 18-8=10, Resulting Numbers: [10, 10]
Generated Node #0,0,2: 70:[10, 10] Operation: 18-8=10
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 70:[10, 10], Operations: ['55-37=18', '18-8=10']
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,70 unequal: No Solution
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[8, 8], Operations: ['55-37=18', '18-10=8']
Exploring Operation: 8/8=1, Resulting Numbers: [1]
1,70 unequal: No Solution
Exploring Operation: 8-8=0, Resulting Numbers: [0]
0,70 unequal: No Solution
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[18, 2], Operations: ['55-37=18', '10-8=2']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,70 unequal: No Solution
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,70 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,70 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: 70:[8, 37, 65], Operations: ['55+10=65']
Exploring Operation: 65-37=28, Resulting Numbers: [8, 28]
Generated Node #0,1,0: 70:[8, 28] Operation: 65-37=28
Exploring Operation: 37-8=29, Resulting Numbers: [65, 29]
Generated Node #0,1,1: 70:[65, 29] Operation: 37-8=29
Exploring Operation: 8+65=73, Resulting Numbers: [37, 73]
Generated Node #0,1,2: 70:[37, 73] Operation: 8+65=73
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 70:[37, 73], Operations: ['55+10=65', '8+65=73']
Exploring Operation: 73-37=36, Resulting Numbers: [36]
36,70 unequal: No Solution
Exploring Operation: 37*73=2701, Resulting Numbers: [2701]
2701,70 unequal: No Solution
Exploring Operation: 37+73=110, Resulting Numbers: [110]
110,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 70:[8, 28], Operations: ['55+10=65', '65-37=28']
Exploring Operation: 8*28=224, Resulting Numbers: [224]
224,70 unequal: No Solution
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,70 unequal: No Solution
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 70:[65, 29], Operations: ['55+10=65', '37-8=29']
Exploring Operation: 65-29=36, Resulting Numbers: [36]
36,70 unequal: No Solution
Exploring Operation: 65*29=1885, Resulting Numbers: [1885]
1885,70 unequal: No Solution
Exploring Operation: 65+29=94, Resulting Numbers: [94]
94,70 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: 70:[37, 10, 63], Operations: ['8+55=63']
Exploring Operation: 10+63=73, Resulting Numbers: [37, 73]
Generated Node #0,2,0: 70:[37, 73] Operation: 10+63=73
Exploring Operation: 37-10=27, Resulting Numbers: [63, 27]
Generated Node #0,2,1: 70:[63, 27] Operation: 37-10=27
Exploring Operation: 63-37=26, Resulting Numbers: [10, 26]
Generated Node #0,2,2: 70:[10, 26] Operation: 63-37=26
Moving to Node #0,2,0
Current State: 70:[37, 73], Operations: ['8+55=63', '10+63=73']
Exploring Operation: 37*73=2701, Resulting Numbers: [2701]
2701,70 unequal: No Solution
Exploring Operation: 37+73=110, Resulting Numbers: [110]
110,70 unequal: No Solution
Exploring Operation: 73-37=36, Resulting Numbers: [36]
36,70 unequal: No Solution
Moving to Node #0,2,2
Current State: 70:[10, 26], Operations: ['8+55=63', '63-37=26']
Exploring Operation: 10*26=260, Resulting Numbers: [260]
260,70 unequal: No Solution
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,70 unequal: No Solution
Exploring Operation: 10+26=36, Resulting Numbers: [36]
36,70 unequal: No Solution
Moving to Node #0,2,1
Current State: 70:[63, 27], Operations: ['8+55=63', '37-10=27']
Exploring Operation: 63*27=1701, Resulting Numbers: [1701]
1701,70 unequal: No Solution
Exploring Operation: 63-27=36, Resulting Numbers: [36]
36,70 unequal: No Solution
Exploring Operation: 63+27=90, Resulting Numbers: [90]
90,70 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
45,
79,
70,
24
] | 79 | [
"70-45=25",
"25-24=1",
"79*1=79"
] | Current State: 79:[45, 79, 70, 24], Operations: []
Exploring Operation: 70-45=25, Resulting Numbers: [79, 24, 25]
Generated Node #2: [79, 24, 25] from Operation: 70-45=25
Current State: 79:[79, 24, 25], Operations: ['70-45=25']
Exploring Operation: 25-24=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 25-24=1
Current State: 79:[79, 1], Operations: ['70-45=25', '25-24=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[45, 79, 70, 24], Operations: []
Exploring Operation: 79+24=103, Resulting Numbers: [45, 70, 103]
Generated Node #0,0: 79:[45, 70, 103] Operation: 79+24=103
Exploring Operation: 70+24=94, Resulting Numbers: [45, 79, 94]
Generated Node #0,1: 79:[45, 79, 94] Operation: 70+24=94
Exploring Operation: 45-24=21, Resulting Numbers: [79, 70, 21]
Generated Node #0,2: 79:[79, 70, 21] Operation: 45-24=21
Exploring Operation: 45+24=69, Resulting Numbers: [79, 70, 69]
Generated Node #0,3: 79:[79, 70, 69] Operation: 45+24=69
Moving to Node #0,3
Current State: 79:[79, 70, 69], Operations: ['45+24=69']
Exploring Operation: 70+69=139, Resulting Numbers: [79, 139]
Generated Node #0,3,0: 79:[79, 139] Operation: 70+69=139
Exploring Operation: 79-69=10, Resulting Numbers: [70, 10]
Generated Node #0,3,1: 79:[70, 10] Operation: 79-69=10
Exploring Operation: 79+69=148, Resulting Numbers: [70, 148]
Generated Node #0,3,2: 79:[70, 148] Operation: 79+69=148
Exploring Operation: 70-69=1, Resulting Numbers: [79, 1]
Generated Node #0,3,3: 79:[79, 1] Operation: 70-69=1
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 79:[79, 139], Operations: ['45+24=69', '70+69=139']
Exploring Operation: 79*139=10981, Resulting Numbers: [10981]
10981,79 unequal: No Solution
Exploring Operation: 139-79=60, Resulting Numbers: [60]
60,79 unequal: No Solution
Exploring Operation: 79+139=218, Resulting Numbers: [218]
218,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 79:[70, 10], Operations: ['45+24=69', '79-69=10']
Exploring Operation: 70*10=700, Resulting Numbers: [700]
700,79 unequal: No Solution
Exploring Operation: 70-10=60, Resulting Numbers: [60]
60,79 unequal: No Solution
Exploring Operation: 70+10=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Exploring Operation: 70/10=7, Resulting Numbers: [7]
7,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 79:[70, 148], Operations: ['45+24=69', '79+69=148']
Exploring Operation: 148-70=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 70*148=10360, Resulting Numbers: [10360]
10360,79 unequal: No Solution
Exploring Operation: 70+148=218, Resulting Numbers: [218]
218,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 79:[79, 1], Operations: ['45+24=69', '70-69=1']
Exploring Operation: 79-1=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[45, 79, 70, 24], Operations: []
Exploring Operation: 45+24=69, Resulting Numbers: [79, 70, 69]
Generated Node #0,3: 79:[79, 70, 69] Operation: 45+24=69
Moving to Node #0,3
Current State: 79:[79, 70, 69], Operations: ['45+24=69']
Exploring Operation: 70-69=1, Resulting Numbers: [79, 1]
Generated Node #0,3,3: 79:[79, 1] Operation: 70-69=1
Moving to Node #0,3,3
Current State: 79:[79, 1], Operations: ['45+24=69', '70-69=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_4 | sum_heuristic |
[
19,
66,
28,
31
] | 29 | [
"66-28=38",
"38/19=2",
"31-2=29"
] | Current State: 29:[19, 66, 28, 31], Operations: []
Exploring Operation: 66-28=38, Resulting Numbers: [19, 31, 38]
Generated Node #2: [19, 31, 38] from Operation: 66-28=38
Current State: 29:[19, 31, 38], Operations: ['66-28=38']
Exploring Operation: 38/19=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 38/19=2
Current State: 29:[31, 2], Operations: ['66-28=38', '38/19=2']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[19, 66, 28, 31], Operations: []
Exploring Operation: 66-31=35, Resulting Numbers: [19, 28, 35]
Generated Node #0,0: 29:[19, 28, 35] Operation: 66-31=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[19, 28, 35], Operations: ['66-31=35']
Exploring Operation: 35-19=16, Resulting Numbers: [28, 16]
Generated Node #0,0,0: 29:[28, 16] Operation: 35-19=16
Moving to Node #0,0,0
Current State: 29:[28, 16], Operations: ['66-31=35', '35-19=16']
Exploring Operation: 28+16=44, Resulting Numbers: [44]
44,29 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 |
[
85,
33,
97,
92
] | 16 | [
"97-92=5",
"85/5=17",
"33-17=16"
] | Current State: 16:[85, 33, 97, 92], Operations: []
Exploring Operation: 97-92=5, Resulting Numbers: [85, 33, 5]
Generated Node #2: [85, 33, 5] from Operation: 97-92=5
Current State: 16:[85, 33, 5], Operations: ['97-92=5']
Exploring Operation: 85/5=17, Resulting Numbers: [33, 17]
Generated Node #3: [33, 17] from Operation: 85/5=17
Current State: 16:[33, 17], Operations: ['97-92=5', '85/5=17']
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[85, 33, 97, 92], Operations: []
Exploring Operation: 97-85=12, Resulting Numbers: [33, 92, 12]
Generated Node #0,0: 16:[33, 92, 12] Operation: 97-85=12
Exploring Operation: 85-33=52, Resulting Numbers: [97, 92, 52]
Generated Node #0,1: 16:[97, 92, 52] Operation: 85-33=52
Exploring Operation: 97-92=5, Resulting Numbers: [85, 33, 5]
Generated Node #0,2: 16:[85, 33, 5] Operation: 97-92=5
Exploring Operation: 92-85=7, Resulting Numbers: [33, 97, 7]
Generated Node #0,3: 16:[33, 97, 7] Operation: 92-85=7
Moving to Node #0,2
Current State: 16:[85, 33, 5], Operations: ['97-92=5']
Exploring Operation: 85-5=80, Resulting Numbers: [33, 80]
Generated Node #0,2,0: 16:[33, 80] Operation: 85-5=80
Exploring Operation: 85/5=17, Resulting Numbers: [33, 17]
Generated Node #0,2,1: 16:[33, 17] Operation: 85/5=17
Exploring Operation: 33-5=28, Resulting Numbers: [85, 28]
Generated Node #0,2,2: 16:[85, 28] Operation: 33-5=28
Exploring Operation: 85-33=52, Resulting Numbers: [5, 52]
Generated Node #0,2,3: 16:[5, 52] Operation: 85-33=52
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 16:[33, 17], Operations: ['97-92=5', '85/5=17']
Exploring Operation: 33+17=50, Resulting Numbers: [50]
50,16 unequal: No Solution
Exploring Operation: 33*17=561, Resulting Numbers: [561]
561,16 unequal: No Solution
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[85, 33, 97, 92], Operations: []
Exploring Operation: 97-92=5, Resulting Numbers: [85, 33, 5]
Generated Node #0,2: 16:[85, 33, 5] Operation: 97-92=5
Moving to Node #0,2
Current State: 16:[85, 33, 5], Operations: ['97-92=5']
Exploring Operation: 85/5=17, Resulting Numbers: [33, 17]
Generated Node #0,2,1: 16:[33, 17] Operation: 85/5=17
Moving to Node #0,2,1
Current State: 16:[33, 17], Operations: ['97-92=5', '85/5=17']
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
72,
44,
4,
69
] | 98 | [
"72+44=116",
"116/4=29",
"69+29=98"
] | Current State: 98:[72, 44, 4, 69], Operations: []
Exploring Operation: 72+44=116, Resulting Numbers: [4, 69, 116]
Generated Node #2: [4, 69, 116] from Operation: 72+44=116
Current State: 98:[4, 69, 116], Operations: ['72+44=116']
Exploring Operation: 116/4=29, Resulting Numbers: [69, 29]
Generated Node #3: [69, 29] from Operation: 116/4=29
Current State: 98:[69, 29], Operations: ['72+44=116', '116/4=29']
Exploring Operation: 69+29=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[72, 44, 4, 69], Operations: []
Exploring Operation: 72/4=18, Resulting Numbers: [44, 69, 18]
Generated Node #0,0: 98:[44, 69, 18] Operation: 72/4=18
Exploring Operation: 69-44=25, Resulting Numbers: [72, 4, 25]
Generated Node #0,1: 98:[72, 4, 25] Operation: 69-44=25
Exploring Operation: 72+44=116, Resulting Numbers: [4, 69, 116]
Generated Node #0,2: 98:[4, 69, 116] Operation: 72+44=116
Exploring Operation: 72-69=3, Resulting Numbers: [44, 4, 3]
Generated Node #0,3: 98:[44, 4, 3] Operation: 72-69=3
Exploring Operation: 72-44=28, Resulting Numbers: [4, 69, 28]
Generated Node #0,4: 98:[4, 69, 28] Operation: 72-44=28
Start Sub Search at level 1: Moving to Node #0,3
Current State: 98:[44, 4, 3], Operations: ['72-69=3']
Exploring Operation: 44+3=47, Resulting Numbers: [4, 47]
Generated Node #0,3,0: 98:[4, 47] Operation: 44+3=47
Exploring Operation: 44/4=11, Resulting Numbers: [3, 11]
Generated Node #0,3,1: 98:[3, 11] Operation: 44/4=11
Exploring Operation: 4+3=7, Resulting Numbers: [44, 7]
Generated Node #0,3,2: 98:[44, 7] Operation: 4+3=7
Exploring Operation: 44+4=48, Resulting Numbers: [3, 48]
Generated Node #0,3,3: 98:[3, 48] Operation: 44+4=48
Exploring Operation: 4-3=1, Resulting Numbers: [44, 1]
Generated Node #0,3,4: 98:[44, 1] Operation: 4-3=1
Moving to Node #0,3,3
Current State: 98:[3, 48], Operations: ['72-69=3', '44+4=48']
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,98 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,98 unequal: No Solution
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,98 unequal: No Solution
Exploring Operation: 3*48=144, Resulting Numbers: [144]
144,98 unequal: No Solution
Moving to Node #0,3,1
Current State: 98:[3, 11], Operations: ['72-69=3', '44/4=11']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,98 unequal: No Solution
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,98 unequal: No Solution
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,98 unequal: No Solution
Moving to Node #0,3,0
Current State: 98:[4, 47], Operations: ['72-69=3', '44+3=47']
Exploring Operation: 4+47=51, Resulting Numbers: [51]
51,98 unequal: No Solution
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 4*47=188, Resulting Numbers: [188]
188,98 unequal: No Solution
Moving to Node #0,3,2
Current State: 98:[44, 7], Operations: ['72-69=3', '4+3=7']
Exploring Operation: 44+7=51, Resulting Numbers: [51]
51,98 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,98 unequal: No Solution
Exploring Operation: 44*7=308, Resulting Numbers: [308]
308,98 unequal: No Solution
Moving to Node #0,3,4
Current State: 98:[44, 1], Operations: ['72-69=3', '4-3=1']
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,98 unequal: No Solution
Exploring Operation: 44-1=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 44/1=44, Resulting Numbers: [44]
44,98 unequal: No Solution
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,98 unequal: No Solution
No 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: 98:[44, 69, 18], Operations: ['72/4=18']
Exploring Operation: 44+69=113, Resulting Numbers: [18, 113]
Generated Node #0,0,0: 98:[18, 113] Operation: 44+69=113
Exploring Operation: 69+18=87, Resulting Numbers: [44, 87]
Generated Node #0,0,1: 98:[44, 87] Operation: 69+18=87
Exploring Operation: 44-18=26, Resulting Numbers: [69, 26]
Generated Node #0,0,2: 98:[69, 26] Operation: 44-18=26
Exploring Operation: 69-44=25, Resulting Numbers: [18, 25]
Generated Node #0,0,3: 98:[18, 25] Operation: 69-44=25
Exploring Operation: 69-18=51, Resulting Numbers: [44, 51]
Generated Node #0,0,4: 98:[44, 51] Operation: 69-18=51
Moving to Node #0,0,4
Current State: 98:[44, 51], Operations: ['72/4=18', '69-18=51']
Exploring Operation: 51-44=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 44*51=2244, Resulting Numbers: [2244]
2244,98 unequal: No Solution
Exploring Operation: 44+51=95, Resulting Numbers: [95]
95,98 unequal: No Solution
Moving to Node #0,0,3
Current State: 98:[18, 25], Operations: ['72/4=18', '69-44=25']
Exploring Operation: 18+25=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 18*25=450, Resulting Numbers: [450]
450,98 unequal: No Solution
Moving to Node #0,0,1
Current State: 98:[44, 87], Operations: ['72/4=18', '69+18=87']
Exploring Operation: 44+87=131, Resulting Numbers: [131]
131,98 unequal: No Solution
Exploring Operation: 87-44=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 44*87=3828, Resulting Numbers: [3828]
3828,98 unequal: No Solution
Moving to Node #0,0,0
Current State: 98:[18, 113], Operations: ['72/4=18', '44+69=113']
Exploring Operation: 113-18=95, Resulting Numbers: [95]
95,98 unequal: No Solution
Exploring Operation: 18+113=131, Resulting Numbers: [131]
131,98 unequal: No Solution
Exploring Operation: 18*113=2034, Resulting Numbers: [2034]
2034,98 unequal: No Solution
Moving to Node #0,0,2
Current State: 98:[69, 26], Operations: ['72/4=18', '44-18=26']
Exploring Operation: 69+26=95, Resulting Numbers: [95]
95,98 unequal: No Solution
Exploring Operation: 69*26=1794, Resulting Numbers: [1794]
1794,98 unequal: No Solution
Exploring Operation: 69-26=43, Resulting Numbers: [43]
43,98 unequal: No Solution
No 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: 98:[72, 4, 25], Operations: ['69-44=25']
Exploring Operation: 72-25=47, Resulting Numbers: [4, 47]
Generated Node #0,1,0: 98:[4, 47] Operation: 72-25=47
Exploring Operation: 72+25=97, Resulting Numbers: [4, 97]
Generated Node #0,1,1: 98:[4, 97] Operation: 72+25=97
Exploring Operation: 4*25=100, Resulting Numbers: [72, 100]
Generated Node #0,1,2: 98:[72, 100] Operation: 4*25=100
Exploring Operation: 72/4=18, Resulting Numbers: [25, 18]
Generated Node #0,1,3: 98:[25, 18] Operation: 72/4=18
Exploring Operation: 72-4=68, Resulting Numbers: [25, 68]
Generated Node #0,1,4: 98:[25, 68] Operation: 72-4=68
Moving to Node #0,1,1
Current State: 98:[4, 97], Operations: ['69-44=25', '72+25=97']
Exploring Operation: 4+97=101, Resulting Numbers: [101]
101,98 unequal: No Solution
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,98 unequal: No Solution
Exploring Operation: 4*97=388, Resulting Numbers: [388]
388,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[4, 47], Operations: ['69-44=25', '72-25=47']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 4*47=188, Resulting Numbers: [188]
188,98 unequal: No Solution
Exploring Operation: 4+47=51, Resulting Numbers: [51]
51,98 unequal: No Solution
Moving to Node #0,1,3
Current State: 98:[25, 18], Operations: ['69-44=25', '72/4=18']
Exploring Operation: 25-18=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 25*18=450, Resulting Numbers: [450]
450,98 unequal: No Solution
Moving to Node #0,1,2
Current State: 98:[72, 100], Operations: ['69-44=25', '4*25=100']
Exploring Operation: 72+100=172, Resulting Numbers: [172]
172,98 unequal: No Solution
Exploring Operation: 72*100=7200, Resulting Numbers: [7200]
7200,98 unequal: No Solution
Exploring Operation: 100-72=28, Resulting Numbers: [28]
28,98 unequal: No Solution
Moving to Node #0,1,4
Current State: 98:[25, 68], Operations: ['69-44=25', '72-4=68']
Exploring Operation: 25*68=1700, Resulting Numbers: [1700]
1700,98 unequal: No Solution
Exploring Operation: 68-25=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 25+68=93, Resulting Numbers: [93]
93,98 unequal: No Solution
No 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: 98:[4, 69, 28], Operations: ['72-44=28']
Exploring Operation: 69+28=97, Resulting Numbers: [4, 97]
Generated Node #0,4,0: 98:[4, 97] Operation: 69+28=97
Exploring Operation: 28-4=24, Resulting Numbers: [69, 24]
Generated Node #0,4,1: 98:[69, 24] Operation: 28-4=24
Exploring Operation: 69-28=41, Resulting Numbers: [4, 41]
Generated Node #0,4,2: 98:[4, 41] Operation: 69-28=41
Exploring Operation: 28/4=7, Resulting Numbers: [69, 7]
Generated Node #0,4,3: 98:[69, 7] Operation: 28/4=7
Exploring Operation: 69-4=65, Resulting Numbers: [28, 65]
Generated Node #0,4,4: 98:[28, 65] Operation: 69-4=65
Moving to Node #0,4,0
Current State: 98:[4, 97], Operations: ['72-44=28', '69+28=97']
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,98 unequal: No Solution
Exploring Operation: 4*97=388, Resulting Numbers: [388]
388,98 unequal: No Solution
Exploring Operation: 4+97=101, Resulting Numbers: [101]
101,98 unequal: No Solution
Moving to Node #0,4,2
Current State: 98:[4, 41], Operations: ['72-44=28', '69-28=41']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,98 unequal: No Solution
Exploring Operation: 4*41=164, Resulting Numbers: [164]
164,98 unequal: No Solution
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,98 unequal: No Solution
Moving to Node #0,4,3
Current State: 98:[69, 7], Operations: ['72-44=28', '28/4=7']
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,98 unequal: No Solution
Exploring Operation: 69+7=76, Resulting Numbers: [76]
76,98 unequal: No Solution
Exploring Operation: 69*7=483, Resulting Numbers: [483]
483,98 unequal: No Solution
Moving to Node #0,4,1
Current State: 98:[69, 24], Operations: ['72-44=28', '28-4=24']
Exploring Operation: 69*24=1656, Resulting Numbers: [1656]
1656,98 unequal: No Solution
Exploring Operation: 69+24=93, Resulting Numbers: [93]
93,98 unequal: No Solution
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,98 unequal: No Solution
Moving to Node #0,4,4
Current State: 98:[28, 65], Operations: ['72-44=28', '69-4=65']
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,98 unequal: No Solution
Exploring Operation: 28*65=1820, Resulting Numbers: [1820]
1820,98 unequal: No Solution
Exploring Operation: 28+65=93, Resulting Numbers: [93]
93,98 unequal: No Solution
No 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: 98:[4, 69, 116], Operations: ['72+44=116']
Exploring Operation: 116-69=47, Resulting Numbers: [4, 47]
Generated Node #0,2,0: 98:[4, 47] Operation: 116-69=47
Exploring Operation: 116/4=29, Resulting Numbers: [69, 29]
Generated Node #0,2,1: 98:[69, 29] Operation: 116/4=29
Exploring Operation: 69-4=65, Resulting Numbers: [116, 65]
Generated Node #0,2,2: 98:[116, 65] Operation: 69-4=65
Exploring Operation: 4+69=73, Resulting Numbers: [116, 73]
Generated Node #0,2,3: 98:[116, 73] Operation: 4+69=73
Exploring Operation: 116-4=112, Resulting Numbers: [69, 112]
Generated Node #0,2,4: 98:[69, 112] Operation: 116-4=112
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 98:[4, 47], Operations: ['72+44=116', '116-69=47']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 4+47=51, Resulting Numbers: [51]
51,98 unequal: No Solution
Exploring Operation: 4*47=188, Resulting Numbers: [188]
188,98 unequal: No Solution
No 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: 98:[116, 65], Operations: ['72+44=116', '69-4=65']
Exploring Operation: 116+65=181, Resulting Numbers: [181]
181,98 unequal: No Solution
Exploring Operation: 116-65=51, Resulting Numbers: [51]
51,98 unequal: No Solution
Exploring Operation: 116*65=7540, Resulting Numbers: [7540]
7540,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 98:[69, 112], Operations: ['72+44=116', '116-4=112']
Exploring Operation: 112-69=43, Resulting Numbers: [43]
43,98 unequal: No Solution
Exploring Operation: 69+112=181, Resulting Numbers: [181]
181,98 unequal: No Solution
Exploring Operation: 69*112=7728, Resulting Numbers: [7728]
7728,98 unequal: No Solution
No 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: 98:[69, 29], Operations: ['72+44=116', '116/4=29']
Exploring Operation: 69+29=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[72, 44, 4, 69], Operations: []
Exploring Operation: 72+44=116, Resulting Numbers: [4, 69, 116]
Generated Node #0,2: 98:[4, 69, 116] Operation: 72+44=116
Moving to Node #0,2
Current State: 98:[4, 69, 116], Operations: ['72+44=116']
Exploring Operation: 116/4=29, Resulting Numbers: [69, 29]
Generated Node #0,2,1: 98:[69, 29] Operation: 116/4=29
Moving to Node #0,2,1
Current State: 98:[69, 29], Operations: ['72+44=116', '116/4=29']
Exploring Operation: 69+29=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.907986 | hs_5 | sum_heuristic |
[
75,
80,
39,
28
] | 72 | [
"80-75=5",
"39+28=67",
"5+67=72"
] | Current State: 72:[75, 80, 39, 28], Operations: []
Exploring Operation: 80-75=5, Resulting Numbers: [39, 28, 5]
Generated Node #2: [39, 28, 5] from Operation: 80-75=5
Current State: 72:[39, 28, 5], Operations: ['80-75=5']
Exploring Operation: 39+28=67, Resulting Numbers: [5, 67]
Generated Node #3: [5, 67] from Operation: 39+28=67
Current State: 72:[5, 67], Operations: ['80-75=5', '39+28=67']
Exploring Operation: 5+67=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[75, 80, 39, 28], Operations: []
Exploring Operation: 75-39=36, Resulting Numbers: [80, 28, 36]
Generated Node #0,0: 72:[80, 28, 36] Operation: 75-39=36
Exploring Operation: 80-75=5, Resulting Numbers: [39, 28, 5]
Generated Node #0,1: 72:[39, 28, 5] Operation: 80-75=5
Moving to Node #0,1
Current State: 72:[39, 28, 5], Operations: ['80-75=5']
Exploring Operation: 28-5=23, Resulting Numbers: [39, 23]
Generated Node #0,1,0: 72:[39, 23] Operation: 28-5=23
Exploring Operation: 39-28=11, Resulting Numbers: [5, 11]
Generated Node #0,1,1: 72:[5, 11] Operation: 39-28=11
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 72:[5, 11], Operations: ['80-75=5', '39-28=11']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 72:[39, 23], Operations: ['80-75=5', '28-5=23']
Exploring Operation: 39+23=62, Resulting Numbers: [62]
62,72 unequal: No Solution
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,72 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: 72:[80, 28, 36], Operations: ['75-39=36']
Exploring Operation: 36-28=8, Resulting Numbers: [80, 8]
Generated Node #0,0,0: 72:[80, 8] Operation: 36-28=8
Exploring Operation: 80-36=44, Resulting Numbers: [28, 44]
Generated Node #0,0,1: 72:[28, 44] Operation: 80-36=44
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[80, 8], Operations: ['75-39=36', '36-28=8']
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,72 unequal: No Solution
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[75, 80, 39, 28], Operations: []
Exploring Operation: 75-39=36, Resulting Numbers: [80, 28, 36]
Generated Node #0,0: 72:[80, 28, 36] Operation: 75-39=36
Moving to Node #0,0
Current State: 72:[80, 28, 36], Operations: ['75-39=36']
Exploring Operation: 36-28=8, Resulting Numbers: [80, 8]
Generated Node #0,0,0: 72:[80, 8] Operation: 36-28=8
Moving to Node #0,0,0
Current State: 72:[80, 8], Operations: ['75-39=36', '36-28=8']
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
54,
6,
19,
3
] | 54 | [
"6*3=18",
"19-18=1",
"54*1=54"
] | Current State: 54:[54, 6, 19, 3], Operations: []
Exploring Operation: 6*3=18, Resulting Numbers: [54, 19, 18]
Generated Node #2: [54, 19, 18] from Operation: 6*3=18
Current State: 54:[54, 19, 18], Operations: ['6*3=18']
Exploring Operation: 19-18=1, Resulting Numbers: [54, 1]
Generated Node #3: [54, 1] from Operation: 19-18=1
Current State: 54:[54, 1], Operations: ['6*3=18', '19-18=1']
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[54, 6, 19, 3], Operations: []
Exploring Operation: 54/6=9, Resulting Numbers: [19, 3, 9]
Generated Node #0,0: 54:[19, 3, 9] Operation: 54/6=9
Exploring Operation: 6*3=18, Resulting Numbers: [54, 19, 18]
Generated Node #0,1: 54:[54, 19, 18] Operation: 6*3=18
Exploring Operation: 54/3=18, Resulting Numbers: [6, 19, 18]
Generated Node #0,2: 54:[6, 19, 18] Operation: 54/3=18
Exploring Operation: 6+3=9, Resulting Numbers: [54, 19, 9]
Generated Node #0,3: 54:[54, 19, 9] Operation: 6+3=9
Exploring Operation: 6-3=3, Resulting Numbers: [54, 19, 3]
Generated Node #0,4: 54:[54, 19, 3] Operation: 6-3=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[19, 3, 9], Operations: ['54/6=9']
Exploring Operation: 3*9=27, Resulting Numbers: [19, 27]
Generated Node #0,0,0: 54:[19, 27] Operation: 3*9=27
Exploring Operation: 9/3=3, Resulting Numbers: [19, 3]
Generated Node #0,0,1: 54:[19, 3] Operation: 9/3=3
Exploring Operation: 19+9=28, Resulting Numbers: [3, 28]
Generated Node #0,0,2: 54:[3, 28] Operation: 19+9=28
Exploring Operation: 9-3=6, Resulting Numbers: [19, 6]
Generated Node #0,0,3: 54:[19, 6] Operation: 9-3=6
Exploring Operation: 19-9=10, Resulting Numbers: [3, 10]
Generated Node #0,0,4: 54:[3, 10] Operation: 19-9=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[19, 27], Operations: ['54/6=9', '3*9=27']
Exploring Operation: 27-19=8, Resulting Numbers: [8]
8,54 unequal: No Solution
Exploring Operation: 19+27=46, Resulting Numbers: [46]
46,54 unequal: No Solution
Exploring Operation: 19*27=513, Resulting Numbers: [513]
513,54 unequal: No Solution
No 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: 54:[19, 3], Operations: ['54/6=9', '9/3=3']
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,54 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,54 unequal: No Solution
No 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: 54:[3, 28], Operations: ['54/6=9', '19+9=28']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,54 unequal: No Solution
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 54:[19, 6], Operations: ['54/6=9', '9-3=6']
Exploring Operation: 19*6=114, Resulting Numbers: [114]
114,54 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,54 unequal: No Solution
No 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: 54:[3, 10], Operations: ['54/6=9', '19-9=10']
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,54 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,54 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,54 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: 54:[54, 19, 18], Operations: ['6*3=18']
Exploring Operation: 54/18=3, Resulting Numbers: [19, 3]
Generated Node #0,1,0: 54:[19, 3] Operation: 54/18=3
Exploring Operation: 54-19=35, Resulting Numbers: [18, 35]
Generated Node #0,1,1: 54:[18, 35] Operation: 54-19=35
Exploring Operation: 54-18=36, Resulting Numbers: [19, 36]
Generated Node #0,1,2: 54:[19, 36] Operation: 54-18=36
Exploring Operation: 19+18=37, Resulting Numbers: [54, 37]
Generated Node #0,1,3: 54:[54, 37] Operation: 19+18=37
Exploring Operation: 19-18=1, Resulting Numbers: [54, 1]
Generated Node #0,1,4: 54:[54, 1] Operation: 19-18=1
Moving to Node #0,1,0
Current State: 54:[19, 3], Operations: ['6*3=18', '54/18=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,54 unequal: No Solution
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,54 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Moving to Node #0,1,4
Current State: 54:[54, 1], Operations: ['6*3=18', '19-18=1']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,54 unequal: No Solution
Exploring Operation: 54+1=55, Resulting Numbers: [55]
55,54 unequal: No Solution
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[54, 6, 19, 3], Operations: []
Exploring Operation: 6*3=18, Resulting Numbers: [54, 19, 18]
Generated Node #0,1: 54:[54, 19, 18] Operation: 6*3=18
Moving to Node #0,1
Current State: 54:[54, 19, 18], Operations: ['6*3=18']
Exploring Operation: 19-18=1, Resulting Numbers: [54, 1]
Generated Node #0,1,4: 54:[54, 1] Operation: 19-18=1
Moving to Node #0,1,4
Current State: 54:[54, 1], Operations: ['6*3=18', '19-18=1']
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_5 | sum_heuristic |
[
2,
18,
38,
8
] | 19 | [
"18-2=16",
"38*8=304",
"304/16=19"
] | Current State: 19:[2, 18, 38, 8], Operations: []
Exploring Operation: 18-2=16, Resulting Numbers: [38, 8, 16]
Generated Node #2: [38, 8, 16] from Operation: 18-2=16
Current State: 19:[38, 8, 16], Operations: ['18-2=16']
Exploring Operation: 38*8=304, Resulting Numbers: [16, 304]
Generated Node #3: [16, 304] from Operation: 38*8=304
Current State: 19:[16, 304], Operations: ['18-2=16', '38*8=304']
Exploring Operation: 304/16=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[2, 18, 38, 8], Operations: []
Exploring Operation: 38/2=19, Resulting Numbers: [18, 8, 19]
Generated Node #0,0: 19:[18, 8, 19] Operation: 38/2=19
Moving to Node #0,0
Current State: 19:[18, 8, 19], Operations: ['38/2=19']
Exploring Operation: 18+8=26, Resulting Numbers: [19, 26]
Generated Node #0,0,0: 19:[19, 26] Operation: 18+8=26
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[19, 26], Operations: ['38/2=19', '18+8=26']
Exploring Operation: 26-19=7, Resulting Numbers: [7]
7,19 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 |
[
53,
21,
85,
8
] | 10 | [
"21+85=106",
"106/53=2",
"8+2=10"
] | Current State: 10:[53, 21, 85, 8], Operations: []
Exploring Operation: 21+85=106, Resulting Numbers: [53, 8, 106]
Generated Node #2: [53, 8, 106] from Operation: 21+85=106
Current State: 10:[53, 8, 106], Operations: ['21+85=106']
Exploring Operation: 106/53=2, Resulting Numbers: [8, 2]
Generated Node #3: [8, 2] from Operation: 106/53=2
Current State: 10:[8, 2], Operations: ['21+85=106', '106/53=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[53, 21, 85, 8], Operations: []
Exploring Operation: 85-53=32, Resulting Numbers: [21, 8, 32]
Generated Node #0,0: 10:[21, 8, 32] Operation: 85-53=32
Moving to Node #0,0
Current State: 10:[21, 8, 32], Operations: ['85-53=32']
Exploring Operation: 32-21=11, Resulting Numbers: [8, 11]
Generated Node #0,0,0: 10:[8, 11] Operation: 32-21=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[8, 11], Operations: ['85-53=32', '32-21=11']
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,10 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 |
[
45,
9,
7,
79
] | 61 | [
"45+79=124",
"9*7=63",
"124-63=61"
] | Current State: 61:[45, 9, 7, 79], Operations: []
Exploring Operation: 45+79=124, Resulting Numbers: [9, 7, 124]
Generated Node #2: [9, 7, 124] from Operation: 45+79=124
Current State: 61:[9, 7, 124], Operations: ['45+79=124']
Exploring Operation: 9*7=63, Resulting Numbers: [124, 63]
Generated Node #3: [124, 63] from Operation: 9*7=63
Current State: 61:[124, 63], Operations: ['45+79=124', '9*7=63']
Exploring Operation: 124-63=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[45, 9, 7, 79], Operations: []
Exploring Operation: 9*7=63, Resulting Numbers: [45, 79, 63]
Generated Node #0,0: 61:[45, 79, 63] Operation: 9*7=63
Moving to Node #0,0
Current State: 61:[45, 79, 63], Operations: ['9*7=63']
Exploring Operation: 79-45=34, Resulting Numbers: [63, 34]
Generated Node #0,0,0: 61:[63, 34] Operation: 79-45=34
Moving to Node #0,0,0
Current State: 61:[63, 34], Operations: ['9*7=63', '79-45=34']
Exploring Operation: 63-34=29, Resulting Numbers: [29]
29,61 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
90,
72,
21,
80
] | 77 | [
"90-72=18",
"80-21=59",
"18+59=77"
] | Current State: 77:[90, 72, 21, 80], Operations: []
Exploring Operation: 90-72=18, Resulting Numbers: [21, 80, 18]
Generated Node #2: [21, 80, 18] from Operation: 90-72=18
Current State: 77:[21, 80, 18], Operations: ['90-72=18']
Exploring Operation: 80-21=59, Resulting Numbers: [18, 59]
Generated Node #3: [18, 59] from Operation: 80-21=59
Current State: 77:[18, 59], Operations: ['90-72=18', '80-21=59']
Exploring Operation: 18+59=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[90, 72, 21, 80], Operations: []
Exploring Operation: 90-80=10, Resulting Numbers: [72, 21, 10]
Generated Node #0,0: 77:[72, 21, 10] Operation: 90-80=10
Exploring Operation: 90-72=18, Resulting Numbers: [21, 80, 18]
Generated Node #0,1: 77:[21, 80, 18] Operation: 90-72=18
Exploring Operation: 80-72=8, Resulting Numbers: [90, 21, 8]
Generated Node #0,2: 77:[90, 21, 8] Operation: 80-72=8
Exploring Operation: 90-21=69, Resulting Numbers: [72, 80, 69]
Generated Node #0,3: 77:[72, 80, 69] Operation: 90-21=69
Moving to Node #0,0
Current State: 77:[72, 21, 10], Operations: ['90-80=10']
Exploring Operation: 21-10=11, Resulting Numbers: [72, 11]
Generated Node #0,0,0: 77:[72, 11] Operation: 21-10=11
Exploring Operation: 72-10=62, Resulting Numbers: [21, 62]
Generated Node #0,0,1: 77:[21, 62] Operation: 72-10=62
Exploring Operation: 72+21=93, Resulting Numbers: [10, 93]
Generated Node #0,0,2: 77:[10, 93] Operation: 72+21=93
Exploring Operation: 72+10=82, Resulting Numbers: [21, 82]
Generated Node #0,0,3: 77:[21, 82] Operation: 72+10=82
Moving to Node #0,3
Current State: 77:[72, 80, 69], Operations: ['90-21=69']
Exploring Operation: 80-69=11, Resulting Numbers: [72, 11]
Generated Node #0,3,0: 77:[72, 11] Operation: 80-69=11
Exploring Operation: 80-72=8, Resulting Numbers: [69, 8]
Generated Node #0,3,1: 77:[69, 8] Operation: 80-72=8
Exploring Operation: 72-69=3, Resulting Numbers: [80, 3]
Generated Node #0,3,2: 77:[80, 3] Operation: 72-69=3
Exploring Operation: 72+69=141, Resulting Numbers: [80, 141]
Generated Node #0,3,3: 77:[80, 141] Operation: 72+69=141
Moving to Node #0,1
Current State: 77:[21, 80, 18], Operations: ['90-72=18']
Exploring Operation: 21-18=3, Resulting Numbers: [80, 3]
Generated Node #0,1,0: 77:[80, 3] Operation: 21-18=3
Exploring Operation: 21+80=101, Resulting Numbers: [18, 101]
Generated Node #0,1,1: 77:[18, 101] Operation: 21+80=101
Exploring Operation: 80-21=59, Resulting Numbers: [18, 59]
Generated Node #0,1,2: 77:[18, 59] Operation: 80-21=59
Exploring Operation: 80-18=62, Resulting Numbers: [21, 62]
Generated Node #0,1,3: 77:[21, 62] Operation: 80-18=62
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 77:[80, 3], Operations: ['90-72=18', '21-18=3']
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,77 unequal: No Solution
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[90, 72, 21, 80], Operations: []
Exploring Operation: 90-72=18, Resulting Numbers: [21, 80, 18]
Generated Node #0,1: 77:[21, 80, 18] Operation: 90-72=18
Moving to Node #0,1
Current State: 77:[21, 80, 18], Operations: ['90-72=18']
Exploring Operation: 21-18=3, Resulting Numbers: [80, 3]
Generated Node #0,1,0: 77:[80, 3] Operation: 21-18=3
Moving to Node #0,1,0
Current State: 77:[80, 3], Operations: ['90-72=18', '21-18=3']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_4 | mult_heuristic |
[
78,
12,
80,
94
] | 76 | [
"78+12=90",
"94-80=14",
"90-14=76"
] | Current State: 76:[78, 12, 80, 94], Operations: []
Exploring Operation: 78+12=90, Resulting Numbers: [80, 94, 90]
Generated Node #2: [80, 94, 90] from Operation: 78+12=90
Current State: 76:[80, 94, 90], Operations: ['78+12=90']
Exploring Operation: 94-80=14, Resulting Numbers: [90, 14]
Generated Node #3: [90, 14] from Operation: 94-80=14
Current State: 76:[90, 14], Operations: ['78+12=90', '94-80=14']
Exploring Operation: 90-14=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[78, 12, 80, 94], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [12, 94, 2]
Generated Node #0,0: 76:[12, 94, 2] Operation: 80-78=2
Exploring Operation: 94-80=14, Resulting Numbers: [78, 12, 14]
Generated Node #0,1: 76:[78, 12, 14] Operation: 94-80=14
Exploring Operation: 94-78=16, Resulting Numbers: [12, 80, 16]
Generated Node #0,2: 76:[12, 80, 16] Operation: 94-78=16
Exploring Operation: 94-12=82, Resulting Numbers: [78, 80, 82]
Generated Node #0,3: 76:[78, 80, 82] Operation: 94-12=82
Start Sub Search at level 1: Moving to Node #0,3
Current State: 76:[78, 80, 82], Operations: ['94-12=82']
Exploring Operation: 78+80=158, Resulting Numbers: [82, 158]
Generated Node #0,3,0: 76:[82, 158] Operation: 78+80=158
Exploring Operation: 80-78=2, Resulting Numbers: [82, 2]
Generated Node #0,3,1: 76:[82, 2] Operation: 80-78=2
Exploring Operation: 82-80=2, Resulting Numbers: [78, 2]
Generated Node #0,3,2: 76:[78, 2] Operation: 82-80=2
Exploring Operation: 82-78=4, Resulting Numbers: [80, 4]
Generated Node #0,3,3: 76:[80, 4] Operation: 82-78=4
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 76:[78, 2], Operations: ['94-12=82', '82-80=2']
Exploring Operation: 78*2=156, Resulting Numbers: [156]
156,76 unequal: No Solution
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,76 unequal: No Solution
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[78, 12, 80, 94], Operations: []
Exploring Operation: 94-12=82, Resulting Numbers: [78, 80, 82]
Generated Node #0,3: 76:[78, 80, 82] Operation: 94-12=82
Moving to Node #0,3
Current State: 76:[78, 80, 82], Operations: ['94-12=82']
Exploring Operation: 82-80=2, Resulting Numbers: [78, 2]
Generated Node #0,3,2: 76:[78, 2] Operation: 82-80=2
Moving to Node #0,3,2
Current State: 76:[78, 2], Operations: ['94-12=82', '82-80=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
20,
76,
2,
68
] | 64 | [
"20+68=88",
"76*2=152",
"152-88=64"
] | Current State: 64:[20, 76, 2, 68], Operations: []
Exploring Operation: 20+68=88, Resulting Numbers: [76, 2, 88]
Generated Node #2: [76, 2, 88] from Operation: 20+68=88
Current State: 64:[76, 2, 88], Operations: ['20+68=88']
Exploring Operation: 76*2=152, Resulting Numbers: [88, 152]
Generated Node #3: [88, 152] from Operation: 76*2=152
Current State: 64:[88, 152], Operations: ['20+68=88', '76*2=152']
Exploring Operation: 152-88=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[20, 76, 2, 68], Operations: []
Exploring Operation: 76-20=56, Resulting Numbers: [2, 68, 56]
Generated Node #0,0: 64:[2, 68, 56] Operation: 76-20=56
Exploring Operation: 76-68=8, Resulting Numbers: [20, 2, 8]
Generated Node #0,1: 64:[20, 2, 8] Operation: 76-68=8
Exploring Operation: 20/2=10, Resulting Numbers: [76, 68, 10]
Generated Node #0,2: 64:[76, 68, 10] Operation: 20/2=10
Exploring Operation: 76/2=38, Resulting Numbers: [20, 68, 38]
Generated Node #0,3: 64:[20, 68, 38] Operation: 76/2=38
Exploring Operation: 20-2=18, Resulting Numbers: [76, 68, 18]
Generated Node #0,4: 64:[76, 68, 18] Operation: 20-2=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[20, 2, 8], Operations: ['76-68=8']
Exploring Operation: 20-2=18, Resulting Numbers: [8, 18]
Generated Node #0,1,0: 64:[8, 18] Operation: 20-2=18
Exploring Operation: 20+8=28, Resulting Numbers: [2, 28]
Generated Node #0,1,1: 64:[2, 28] Operation: 20+8=28
Exploring Operation: 20-8=12, Resulting Numbers: [2, 12]
Generated Node #0,1,2: 64:[2, 12] Operation: 20-8=12
Exploring Operation: 20/2=10, Resulting Numbers: [8, 10]
Generated Node #0,1,3: 64:[8, 10] Operation: 20/2=10
Exploring Operation: 2*8=16, Resulting Numbers: [20, 16]
Generated Node #0,1,4: 64:[20, 16] Operation: 2*8=16
Moving to Node #0,1,0
Current State: 64:[8, 18], Operations: ['76-68=8', '20-2=18']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 8+18=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 8*18=144, Resulting Numbers: [144]
144,64 unequal: No Solution
Moving to Node #0,1,3
Current State: 64:[8, 10], Operations: ['76-68=8', '20/2=10']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,64 unequal: No Solution
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[2, 28], Operations: ['76-68=8', '20+8=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,64 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,64 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[2, 12], Operations: ['76-68=8', '20-8=12']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,64 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,64 unequal: No Solution
Moving to Node #0,1,4
Current State: 64:[20, 16], Operations: ['76-68=8', '2*8=16']
Exploring Operation: 20*16=320, Resulting Numbers: [320]
320,64 unequal: No Solution
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,64 unequal: No Solution
Exploring Operation: 20+16=36, Resulting Numbers: [36]
36,64 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
Current State: 64:[2, 68, 56], Operations: ['76-20=56']
Exploring Operation: 68-56=12, Resulting Numbers: [2, 12]
Generated Node #0,0,0: 64:[2, 12] Operation: 68-56=12
Exploring Operation: 2+56=58, Resulting Numbers: [68, 58]
Generated Node #0,0,1: 64:[68, 58] Operation: 2+56=58
Exploring Operation: 68-2=66, Resulting Numbers: [56, 66]
Generated Node #0,0,2: 64:[56, 66] Operation: 68-2=66
Exploring Operation: 68/2=34, Resulting Numbers: [56, 34]
Generated Node #0,0,3: 64:[56, 34] Operation: 68/2=34
Exploring Operation: 56/2=28, Resulting Numbers: [68, 28]
Generated Node #0,0,4: 64:[68, 28] Operation: 56/2=28
Moving to Node #0,0,0
Current State: 64:[2, 12], Operations: ['76-20=56', '68-56=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,64 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,64 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Moving to Node #0,0,4
Current State: 64:[68, 28], Operations: ['76-20=56', '56/2=28']
Exploring Operation: 68*28=1904, Resulting Numbers: [1904]
1904,64 unequal: No Solution
Exploring Operation: 68-28=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Exploring Operation: 68+28=96, Resulting Numbers: [96]
96,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[68, 58], Operations: ['76-20=56', '2+56=58']
Exploring Operation: 68*58=3944, Resulting Numbers: [3944]
3944,64 unequal: No Solution
Exploring Operation: 68+58=126, Resulting Numbers: [126]
126,64 unequal: No Solution
Exploring Operation: 68-58=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Moving to Node #0,0,2
Current State: 64:[56, 66], Operations: ['76-20=56', '68-2=66']
Exploring Operation: 56+66=122, Resulting Numbers: [122]
122,64 unequal: No Solution
Exploring Operation: 56*66=3696, Resulting Numbers: [3696]
3696,64 unequal: No Solution
Exploring Operation: 66-56=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Moving to Node #0,0,3
Current State: 64:[56, 34], Operations: ['76-20=56', '68/2=34']
Exploring Operation: 56*34=1904, Resulting Numbers: [1904]
1904,64 unequal: No Solution
Exploring Operation: 56+34=90, Resulting Numbers: [90]
90,64 unequal: No Solution
Exploring Operation: 56-34=22, Resulting Numbers: [22]
22,64 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 #0,3
Current State: 64:[20, 68, 38], Operations: ['76/2=38']
Exploring Operation: 20+38=58, Resulting Numbers: [68, 58]
Generated Node #0,3,0: 64:[68, 58] Operation: 20+38=58
Exploring Operation: 68-20=48, Resulting Numbers: [38, 48]
Generated Node #0,3,1: 64:[38, 48] Operation: 68-20=48
Exploring Operation: 20+68=88, Resulting Numbers: [38, 88]
Generated Node #0,3,2: 64:[38, 88] Operation: 20+68=88
Exploring Operation: 68-38=30, Resulting Numbers: [20, 30]
Generated Node #0,3,3: 64:[20, 30] Operation: 68-38=30
Exploring Operation: 38-20=18, Resulting Numbers: [68, 18]
Generated Node #0,3,4: 64:[68, 18] Operation: 38-20=18
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 64:[20, 30], Operations: ['76/2=38', '68-38=30']
Exploring Operation: 20+30=50, Resulting Numbers: [50]
50,64 unequal: No Solution
Exploring Operation: 20*30=600, Resulting Numbers: [600]
600,64 unequal: No Solution
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 64:[68, 18], Operations: ['76/2=38', '38-20=18']
Exploring Operation: 68+18=86, Resulting Numbers: [86]
86,64 unequal: No Solution
Exploring Operation: 68*18=1224, Resulting Numbers: [1224]
1224,64 unequal: No Solution
Exploring Operation: 68-18=50, Resulting Numbers: [50]
50,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 64:[68, 58], Operations: ['76/2=38', '20+38=58']
Exploring Operation: 68+58=126, Resulting Numbers: [126]
126,64 unequal: No Solution
Exploring Operation: 68-58=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 68*58=3944, Resulting Numbers: [3944]
3944,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 64:[38, 48], Operations: ['76/2=38', '68-20=48']
Exploring Operation: 38*48=1824, Resulting Numbers: [1824]
1824,64 unequal: No Solution
Exploring Operation: 48-38=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 38+48=86, Resulting Numbers: [86]
86,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 64:[38, 88], Operations: ['76/2=38', '20+68=88']
Exploring Operation: 88-38=50, Resulting Numbers: [50]
50,64 unequal: No Solution
Exploring Operation: 38*88=3344, Resulting Numbers: [3344]
3344,64 unequal: No Solution
Exploring Operation: 38+88=126, Resulting Numbers: [126]
126,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 64:[76, 68, 10], Operations: ['20/2=10']
Exploring Operation: 68-10=58, Resulting Numbers: [76, 58]
Generated Node #0,2,0: 64:[76, 58] Operation: 68-10=58
Exploring Operation: 76+10=86, Resulting Numbers: [68, 86]
Generated Node #0,2,1: 64:[68, 86] Operation: 76+10=86
Exploring Operation: 76-10=66, Resulting Numbers: [68, 66]
Generated Node #0,2,2: 64:[68, 66] Operation: 76-10=66
Exploring Operation: 68+10=78, Resulting Numbers: [76, 78]
Generated Node #0,2,3: 64:[76, 78] Operation: 68+10=78
Exploring Operation: 76-68=8, Resulting Numbers: [10, 8]
Generated Node #0,2,4: 64:[10, 8] Operation: 76-68=8
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 64:[10, 8], Operations: ['20/2=10', '76-68=8']
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,64 unequal: No Solution
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 64:[68, 66], Operations: ['20/2=10', '76-10=66']
Exploring Operation: 68+66=134, Resulting Numbers: [134]
134,64 unequal: No Solution
Exploring Operation: 68-66=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 68*66=4488, Resulting Numbers: [4488]
4488,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 64:[76, 58], Operations: ['20/2=10', '68-10=58']
Exploring Operation: 76*58=4408, Resulting Numbers: [4408]
4408,64 unequal: No Solution
Exploring Operation: 76-58=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Exploring Operation: 76+58=134, Resulting Numbers: [134]
134,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 64:[68, 86], Operations: ['20/2=10', '76+10=86']
Exploring Operation: 68+86=154, Resulting Numbers: [154]
154,64 unequal: No Solution
Exploring Operation: 86-68=18, Resulting Numbers: [18]
18,64 unequal: No Solution
Exploring Operation: 68*86=5848, Resulting Numbers: [5848]
5848,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 64:[76, 78], Operations: ['20/2=10', '68+10=78']
Exploring Operation: 76*78=5928, Resulting Numbers: [5928]
5928,64 unequal: No Solution
Exploring Operation: 78-76=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 76+78=154, Resulting Numbers: [154]
154,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 64:[76, 68, 18], Operations: ['20-2=18']
Exploring Operation: 68+18=86, Resulting Numbers: [76, 86]
Generated Node #0,4,0: 64:[76, 86] Operation: 68+18=86
Exploring Operation: 68-18=50, Resulting Numbers: [76, 50]
Generated Node #0,4,1: 64:[76, 50] Operation: 68-18=50
Exploring Operation: 76-18=58, Resulting Numbers: [68, 58]
Generated Node #0,4,2: 64:[68, 58] Operation: 76-18=58
Exploring Operation: 76-68=8, Resulting Numbers: [18, 8]
Generated Node #0,4,3: 64:[18, 8] Operation: 76-68=8
Exploring Operation: 76+18=94, Resulting Numbers: [68, 94]
Generated Node #0,4,4: 64:[68, 94] Operation: 76+18=94
Moving to Node #0,4,3
Current State: 64:[18, 8], Operations: ['20-2=18', '76-68=8']
Exploring Operation: 18-8=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 18*8=144, Resulting Numbers: [144]
144,64 unequal: No Solution
Exploring Operation: 18+8=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Moving to Node #0,4,2
Current State: 64:[68, 58], Operations: ['20-2=18', '76-18=58']
Exploring Operation: 68+58=126, Resulting Numbers: [126]
126,64 unequal: No Solution
Exploring Operation: 68-58=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 68*58=3944, Resulting Numbers: [3944]
3944,64 unequal: No Solution
Moving to Node #0,4,1
Current State: 64:[76, 50], Operations: ['20-2=18', '68-18=50']
Exploring Operation: 76-50=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 76+50=126, Resulting Numbers: [126]
126,64 unequal: No Solution
Exploring Operation: 76*50=3800, Resulting Numbers: [3800]
3800,64 unequal: No Solution
Moving to Node #0,4,0
Current State: 64:[76, 86], Operations: ['20-2=18', '68+18=86']
Exploring Operation: 86-76=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 76*86=6536, Resulting Numbers: [6536]
6536,64 unequal: No Solution
Exploring Operation: 76+86=162, Resulting Numbers: [162]
162,64 unequal: No Solution
Moving to Node #0,4,4
Current State: 64:[68, 94], Operations: ['20-2=18', '76+18=94']
Exploring Operation: 68*94=6392, Resulting Numbers: [6392]
6392,64 unequal: No Solution
Exploring Operation: 94-68=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 68+94=162, Resulting Numbers: [162]
162,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
88,
74,
92,
31
] | 50 | [
"92-88=4",
"31*4=124",
"124-74=50"
] | Current State: 50:[88, 74, 92, 31], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [74, 31, 4]
Generated Node #2: [74, 31, 4] from Operation: 92-88=4
Current State: 50:[74, 31, 4], Operations: ['92-88=4']
Exploring Operation: 31*4=124, Resulting Numbers: [74, 124]
Generated Node #3: [74, 124] from Operation: 31*4=124
Current State: 50:[74, 124], Operations: ['92-88=4', '31*4=124']
Exploring Operation: 124-74=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[88, 74, 92, 31], Operations: []
Exploring Operation: 92-74=18, Resulting Numbers: [88, 31, 18]
Generated Node #0,0: 50:[88, 31, 18] Operation: 92-74=18
Exploring Operation: 92-88=4, Resulting Numbers: [74, 31, 4]
Generated Node #0,1: 50:[74, 31, 4] Operation: 92-88=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[74, 31, 4], Operations: ['92-88=4']
Exploring Operation: 74-4=70, Resulting Numbers: [31, 70]
Generated Node #0,1,0: 50:[31, 70] Operation: 74-4=70
Exploring Operation: 74-31=43, Resulting Numbers: [4, 43]
Generated Node #0,1,1: 50:[4, 43] Operation: 74-31=43
Moving to Node #0,1,1
Current State: 50:[4, 43], Operations: ['92-88=4', '74-31=43']
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,50 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,50 unequal: No Solution
Moving to Node #0,1,0
Current State: 50:[31, 70], Operations: ['92-88=4', '74-4=70']
Exploring Operation: 31+70=101, Resulting Numbers: [101]
101,50 unequal: No Solution
Exploring Operation: 70-31=39, Resulting Numbers: [39]
39,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[88, 31, 18], Operations: ['92-74=18']
Exploring Operation: 88-31=57, Resulting Numbers: [18, 57]
Generated Node #0,0,0: 50:[18, 57] Operation: 88-31=57
Exploring Operation: 88-18=70, Resulting Numbers: [31, 70]
Generated Node #0,0,1: 50:[31, 70] Operation: 88-18=70
Moving to Node #0,0,0
Current State: 50:[18, 57], Operations: ['92-74=18', '88-31=57']
Exploring Operation: 57-18=39, Resulting Numbers: [39]
39,50 unequal: No Solution
Exploring Operation: 18+57=75, Resulting Numbers: [75]
75,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[31, 70], Operations: ['92-74=18', '88-18=70']
Exploring Operation: 31+70=101, Resulting Numbers: [101]
101,50 unequal: No Solution
Exploring Operation: 70-31=39, Resulting Numbers: [39]
39,50 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 |
[
94,
91,
40,
14
] | 82 | [
"94-91=3",
"14*3=42",
"40+42=82"
] | Current State: 82:[94, 91, 40, 14], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [40, 14, 3]
Generated Node #2: [40, 14, 3] from Operation: 94-91=3
Current State: 82:[40, 14, 3], Operations: ['94-91=3']
Exploring Operation: 14*3=42, Resulting Numbers: [40, 42]
Generated Node #3: [40, 42] from Operation: 14*3=42
Current State: 82:[40, 42], Operations: ['94-91=3', '14*3=42']
Exploring Operation: 40+42=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[94, 91, 40, 14], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [40, 14, 3]
Generated Node #0,0: 82:[40, 14, 3] Operation: 94-91=3
Exploring Operation: 94-14=80, Resulting Numbers: [91, 40, 80]
Generated Node #0,1: 82:[91, 40, 80] Operation: 94-14=80
Moving to Node #0,1
Current State: 82:[91, 40, 80], Operations: ['94-14=80']
Exploring Operation: 91-80=11, Resulting Numbers: [40, 11]
Generated Node #0,1,0: 82:[40, 11] Operation: 91-80=11
Exploring Operation: 80/40=2, Resulting Numbers: [91, 2]
Generated Node #0,1,1: 82:[91, 2] Operation: 80/40=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 82:[91, 2], Operations: ['94-14=80', '80/40=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,82 unequal: No Solution
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 82:[40, 11], Operations: ['94-14=80', '91-80=11']
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,82 unequal: No Solution
Exploring Operation: 40+11=51, Resulting Numbers: [51]
51,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 82:[40, 14, 3], Operations: ['94-91=3']
Exploring Operation: 14*3=42, Resulting Numbers: [40, 42]
Generated Node #0,0,0: 82:[40, 42] Operation: 14*3=42
Exploring Operation: 14-3=11, Resulting Numbers: [40, 11]
Generated Node #0,0,1: 82:[40, 11] Operation: 14-3=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[40, 42], Operations: ['94-91=3', '14*3=42']
Exploring Operation: 42-40=2, Resulting Numbers: [2]
2,82 unequal: No Solution
Exploring Operation: 40+42=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[94, 91, 40, 14], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [40, 14, 3]
Generated Node #0,0: 82:[40, 14, 3] Operation: 94-91=3
Moving to Node #0,0
Current State: 82:[40, 14, 3], Operations: ['94-91=3']
Exploring Operation: 14*3=42, Resulting Numbers: [40, 42]
Generated Node #0,0,0: 82:[40, 42] Operation: 14*3=42
Moving to Node #0,0,0
Current State: 82:[40, 42], Operations: ['94-91=3', '14*3=42']
Exploring Operation: 40+42=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
84,
94,
30,
86
] | 90 | [
"94+86=180",
"180/30=6",
"84+6=90"
] | Current State: 90:[84, 94, 30, 86], Operations: []
Exploring Operation: 94+86=180, Resulting Numbers: [84, 30, 180]
Generated Node #2: [84, 30, 180] from Operation: 94+86=180
Current State: 90:[84, 30, 180], Operations: ['94+86=180']
Exploring Operation: 180/30=6, Resulting Numbers: [84, 6]
Generated Node #3: [84, 6] from Operation: 180/30=6
Current State: 90:[84, 6], Operations: ['94+86=180', '180/30=6']
Exploring Operation: 84+6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[84, 94, 30, 86], Operations: []
Exploring Operation: 86-30=56, Resulting Numbers: [84, 94, 56]
Generated Node #0,0: 90:[84, 94, 56] Operation: 86-30=56
Exploring Operation: 86-84=2, Resulting Numbers: [94, 30, 2]
Generated Node #0,1: 90:[94, 30, 2] Operation: 86-84=2
Exploring Operation: 84-30=54, Resulting Numbers: [94, 86, 54]
Generated Node #0,2: 90:[94, 86, 54] Operation: 84-30=54
Exploring Operation: 94-84=10, Resulting Numbers: [30, 86, 10]
Generated Node #0,3: 90:[30, 86, 10] Operation: 94-84=10
Exploring Operation: 94-86=8, Resulting Numbers: [84, 30, 8]
Generated Node #0,4: 90:[84, 30, 8] Operation: 94-86=8
Moving to Node #0,1
Current State: 90:[94, 30, 2], Operations: ['86-84=2']
Exploring Operation: 94-2=92, Resulting Numbers: [30, 92]
Generated Node #0,1,0: 90:[30, 92] Operation: 94-2=92
Exploring Operation: 30+2=32, Resulting Numbers: [94, 32]
Generated Node #0,1,1: 90:[94, 32] Operation: 30+2=32
Exploring Operation: 94+2=96, Resulting Numbers: [30, 96]
Generated Node #0,1,2: 90:[30, 96] Operation: 94+2=96
Exploring Operation: 94/2=47, Resulting Numbers: [30, 47]
Generated Node #0,1,3: 90:[30, 47] Operation: 94/2=47
Exploring Operation: 30/2=15, Resulting Numbers: [94, 15]
Generated Node #0,1,4: 90:[94, 15] Operation: 30/2=15
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 90:[30, 92], Operations: ['86-84=2', '94-2=92']
Exploring Operation: 92-30=62, Resulting Numbers: [62]
62,90 unequal: No Solution
Exploring Operation: 30*92=2760, Resulting Numbers: [2760]
2760,90 unequal: No Solution
Exploring Operation: 30+92=122, Resulting Numbers: [122]
122,90 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 #0,1,3
Current State: 90:[30, 47], Operations: ['86-84=2', '94/2=47']
Exploring Operation: 30*47=1410, Resulting Numbers: [1410]
1410,90 unequal: No Solution
Exploring Operation: 30+47=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Exploring Operation: 47-30=17, Resulting Numbers: [17]
17,90 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 #0,1,4
Current State: 90:[94, 15], Operations: ['86-84=2', '30/2=15']
Exploring Operation: 94+15=109, Resulting Numbers: [109]
109,90 unequal: No Solution
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,90 unequal: No Solution
Exploring Operation: 94*15=1410, Resulting Numbers: [1410]
1410,90 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 #0,1,1
Current State: 90:[94, 32], Operations: ['86-84=2', '30+2=32']
Exploring Operation: 94*32=3008, Resulting Numbers: [3008]
3008,90 unequal: No Solution
Exploring Operation: 94+32=126, Resulting Numbers: [126]
126,90 unequal: No Solution
Exploring Operation: 94-32=62, Resulting Numbers: [62]
62,90 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 #0,1,2
Current State: 90:[30, 96], Operations: ['86-84=2', '94+2=96']
Exploring Operation: 96-30=66, Resulting Numbers: [66]
66,90 unequal: No Solution
Exploring Operation: 30+96=126, Resulting Numbers: [126]
126,90 unequal: No Solution
Exploring Operation: 30*96=2880, Resulting Numbers: [2880]
2880,90 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: 90:[30, 86, 10], Operations: ['94-84=10']
Exploring Operation: 30-10=20, Resulting Numbers: [86, 20]
Generated Node #0,3,0: 90:[86, 20] Operation: 30-10=20
Exploring Operation: 86+10=96, Resulting Numbers: [30, 96]
Generated Node #0,3,1: 90:[30, 96] Operation: 86+10=96
Exploring Operation: 30+10=40, Resulting Numbers: [86, 40]
Generated Node #0,3,2: 90:[86, 40] Operation: 30+10=40
Exploring Operation: 30/10=3, Resulting Numbers: [86, 3]
Generated Node #0,3,3: 90:[86, 3] Operation: 30/10=3
Exploring Operation: 86-30=56, Resulting Numbers: [10, 56]
Generated Node #0,3,4: 90:[10, 56] Operation: 86-30=56
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 90:[86, 3], Operations: ['94-84=10', '30/10=3']
Exploring Operation: 86*3=258, Resulting Numbers: [258]
258,90 unequal: No Solution
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,90 unequal: No Solution
Exploring Operation: 86+3=89, Resulting Numbers: [89]
89,90 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 #0,3,0
Current State: 90:[86, 20], Operations: ['94-84=10', '30-10=20']
Exploring Operation: 86*20=1720, Resulting Numbers: [1720]
1720,90 unequal: No Solution
Exploring Operation: 86+20=106, Resulting Numbers: [106]
106,90 unequal: No Solution
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,90 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:[30, 96], Operations: ['94-84=10', '86+10=96']
Exploring Operation: 30*96=2880, Resulting Numbers: [2880]
2880,90 unequal: No Solution
Exploring Operation: 96-30=66, Resulting Numbers: [66]
66,90 unequal: No Solution
Exploring Operation: 30+96=126, Resulting Numbers: [126]
126,90 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:[86, 40], Operations: ['94-84=10', '30+10=40']
Exploring Operation: 86-40=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 86+40=126, Resulting Numbers: [126]
126,90 unequal: No Solution
Exploring Operation: 86*40=3440, Resulting Numbers: [3440]
3440,90 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 #0,3,4
Current State: 90:[10, 56], Operations: ['94-84=10', '86-30=56']
Exploring Operation: 10*56=560, Resulting Numbers: [560]
560,90 unequal: No Solution
Exploring Operation: 10+56=66, Resulting Numbers: [66]
66,90 unequal: No Solution
Exploring Operation: 56-10=46, Resulting Numbers: [46]
46,90 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: 90:[84, 30, 8], Operations: ['94-86=8']
Exploring Operation: 84-8=76, Resulting Numbers: [30, 76]
Generated Node #0,4,0: 90:[30, 76] Operation: 84-8=76
Exploring Operation: 84-30=54, Resulting Numbers: [8, 54]
Generated Node #0,4,1: 90:[8, 54] Operation: 84-30=54
Exploring Operation: 84+8=92, Resulting Numbers: [30, 92]
Generated Node #0,4,2: 90:[30, 92] Operation: 84+8=92
Exploring Operation: 30+8=38, Resulting Numbers: [84, 38]
Generated Node #0,4,3: 90:[84, 38] Operation: 30+8=38
Exploring Operation: 30-8=22, Resulting Numbers: [84, 22]
Generated Node #0,4,4: 90:[84, 22] Operation: 30-8=22
Moving to Node #0,2
Current State: 90:[94, 86, 54], Operations: ['84-30=54']
Exploring Operation: 94-86=8, Resulting Numbers: [54, 8]
Generated Node #0,2,0: 90:[54, 8] Operation: 94-86=8
Exploring Operation: 86-54=32, Resulting Numbers: [94, 32]
Generated Node #0,2,1: 90:[94, 32] Operation: 86-54=32
Exploring Operation: 86+54=140, Resulting Numbers: [94, 140]
Generated Node #0,2,2: 90:[94, 140] Operation: 86+54=140
Exploring Operation: 94+54=148, Resulting Numbers: [86, 148]
Generated Node #0,2,3: 90:[86, 148] Operation: 94+54=148
Exploring Operation: 94-54=40, Resulting Numbers: [86, 40]
Generated Node #0,2,4: 90:[86, 40] Operation: 94-54=40
Moving to Node #0,0
Current State: 90:[84, 94, 56], Operations: ['86-30=56']
Exploring Operation: 84-56=28, Resulting Numbers: [94, 28]
Generated Node #0,0,0: 90:[94, 28] Operation: 84-56=28
Exploring Operation: 94+56=150, Resulting Numbers: [84, 150]
Generated Node #0,0,1: 90:[84, 150] Operation: 94+56=150
Exploring Operation: 94-84=10, Resulting Numbers: [56, 10]
Generated Node #0,0,2: 90:[56, 10] Operation: 94-84=10
Exploring Operation: 94-56=38, Resulting Numbers: [84, 38]
Generated Node #0,0,3: 90:[84, 38] Operation: 94-56=38
Exploring Operation: 84+56=140, Resulting Numbers: [94, 140]
Generated Node #0,0,4: 90:[94, 140] Operation: 84+56=140
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 90:[94, 28], Operations: ['86-30=56', '84-56=28']
Exploring Operation: 94-28=66, Resulting Numbers: [66]
66,90 unequal: No Solution
Exploring Operation: 94+28=122, Resulting Numbers: [122]
122,90 unequal: No Solution
Exploring Operation: 94*28=2632, Resulting Numbers: [2632]
2632,90 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:[56, 10], Operations: ['86-30=56', '94-84=10']
Exploring Operation: 56-10=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 56+10=66, Resulting Numbers: [66]
66,90 unequal: No Solution
Exploring Operation: 56*10=560, Resulting Numbers: [560]
560,90 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 #0,0,3
Current State: 90:[84, 38], Operations: ['86-30=56', '94-56=38']
Exploring Operation: 84+38=122, Resulting Numbers: [122]
122,90 unequal: No Solution
Exploring Operation: 84-38=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 84*38=3192, Resulting Numbers: [3192]
3192,90 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:[94, 140], Operations: ['86-30=56', '84+56=140']
Exploring Operation: 140-94=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 94*140=13160, Resulting Numbers: [13160]
13160,90 unequal: No Solution
Exploring Operation: 94+140=234, Resulting Numbers: [234]
234,90 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:[84, 150], Operations: ['86-30=56', '94+56=150']
Exploring Operation: 150-84=66, Resulting Numbers: [66]
66,90 unequal: No Solution
Exploring Operation: 84*150=12600, Resulting Numbers: [12600]
12600,90 unequal: No Solution
Exploring Operation: 84+150=234, Resulting Numbers: [234]
234,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,2
Current State: 90:[30, 92], Operations: ['94-86=8', '84+8=92']
Exploring Operation: 92-30=62, Resulting Numbers: [62]
62,90 unequal: No Solution
Exploring Operation: 30+92=122, Resulting Numbers: [122]
122,90 unequal: No Solution
Exploring Operation: 30*92=2760, Resulting Numbers: [2760]
2760,90 unequal: No Solution
Moving to Node #0,2,1
Current State: 90:[94, 32], Operations: ['84-30=54', '86-54=32']
Exploring Operation: 94-32=62, Resulting Numbers: [62]
62,90 unequal: No Solution
Exploring Operation: 94*32=3008, Resulting Numbers: [3008]
3008,90 unequal: No Solution
Exploring Operation: 94+32=126, Resulting Numbers: [126]
126,90 unequal: No Solution
Moving to Node #0,2,4
Current State: 90:[86, 40], Operations: ['84-30=54', '94-54=40']
Exploring Operation: 86*40=3440, Resulting Numbers: [3440]
3440,90 unequal: No Solution
Exploring Operation: 86-40=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 86+40=126, Resulting Numbers: [126]
126,90 unequal: No Solution
Moving to Node #0,4,4
Current State: 90:[84, 22], Operations: ['94-86=8', '30-8=22']
Exploring Operation: 84*22=1848, Resulting Numbers: [1848]
1848,90 unequal: No Solution
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,90 unequal: No Solution
Exploring Operation: 84+22=106, Resulting Numbers: [106]
106,90 unequal: No Solution
Moving to Node #0,4,1
Current State: 90:[8, 54], Operations: ['94-86=8', '84-30=54']
Exploring Operation: 54-8=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 8*54=432, Resulting Numbers: [432]
432,90 unequal: No Solution
Exploring Operation: 8+54=62, Resulting Numbers: [62]
62,90 unequal: No Solution
Moving to Node #0,2,0
Current State: 90:[54, 8], Operations: ['84-30=54', '94-86=8']
Exploring Operation: 54-8=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 54*8=432, Resulting Numbers: [432]
432,90 unequal: No Solution
Exploring Operation: 54+8=62, Resulting Numbers: [62]
62,90 unequal: No Solution
Moving to Node #0,4,3
Current State: 90:[84, 38], Operations: ['94-86=8', '30+8=38']
Exploring Operation: 84+38=122, Resulting Numbers: [122]
122,90 unequal: No Solution
Exploring Operation: 84-38=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 84*38=3192, Resulting Numbers: [3192]
3192,90 unequal: No Solution
Moving to Node #0,4,0
Current State: 90:[30, 76], Operations: ['94-86=8', '84-8=76']
Exploring Operation: 30+76=106, Resulting Numbers: [106]
106,90 unequal: No Solution
Exploring Operation: 30*76=2280, Resulting Numbers: [2280]
2280,90 unequal: No Solution
Exploring Operation: 76-30=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Moving to Node #0,2,2
Current State: 90:[94, 140], Operations: ['84-30=54', '86+54=140']
Exploring Operation: 94+140=234, Resulting Numbers: [234]
234,90 unequal: No Solution
Exploring Operation: 94*140=13160, Resulting Numbers: [13160]
13160,90 unequal: No Solution
Exploring Operation: 140-94=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Moving to Node #0,2,3
Current State: 90:[86, 148], Operations: ['84-30=54', '94+54=148']
Exploring Operation: 86*148=12728, Resulting Numbers: [12728]
12728,90 unequal: No Solution
Exploring Operation: 148-86=62, Resulting Numbers: [62]
62,90 unequal: No Solution
Exploring Operation: 86+148=234, Resulting Numbers: [234]
234,90 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
44,
72,
85,
17
] | 11 | [
"85-72=13",
"17-13=4",
"44/4=11"
] | Current State: 11:[44, 72, 85, 17], Operations: []
Exploring Operation: 85-72=13, Resulting Numbers: [44, 17, 13]
Generated Node #2: [44, 17, 13] from Operation: 85-72=13
Current State: 11:[44, 17, 13], Operations: ['85-72=13']
Exploring Operation: 17-13=4, Resulting Numbers: [44, 4]
Generated Node #3: [44, 4] from Operation: 17-13=4
Current State: 11:[44, 4], Operations: ['85-72=13', '17-13=4']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[44, 72, 85, 17], Operations: []
Exploring Operation: 85/17=5, Resulting Numbers: [44, 72, 5]
Generated Node #0,0: 11:[44, 72, 5] Operation: 85/17=5
Exploring Operation: 72-44=28, Resulting Numbers: [85, 17, 28]
Generated Node #0,1: 11:[85, 17, 28] Operation: 72-44=28
Exploring Operation: 44-17=27, Resulting Numbers: [72, 85, 27]
Generated Node #0,2: 11:[72, 85, 27] Operation: 44-17=27
Exploring Operation: 85-44=41, Resulting Numbers: [72, 17, 41]
Generated Node #0,3: 11:[72, 17, 41] Operation: 85-44=41
Exploring Operation: 85-72=13, Resulting Numbers: [44, 17, 13]
Generated Node #0,4: 11:[44, 17, 13] Operation: 85-72=13
Moving to Node #0,4
Current State: 11:[44, 17, 13], Operations: ['85-72=13']
Exploring Operation: 44+13=57, Resulting Numbers: [17, 57]
Generated Node #0,4,0: 11:[17, 57] Operation: 44+13=57
Exploring Operation: 44-13=31, Resulting Numbers: [17, 31]
Generated Node #0,4,1: 11:[17, 31] Operation: 44-13=31
Exploring Operation: 44+17=61, Resulting Numbers: [13, 61]
Generated Node #0,4,2: 11:[13, 61] Operation: 44+17=61
Exploring Operation: 17-13=4, Resulting Numbers: [44, 4]
Generated Node #0,4,3: 11:[44, 4] Operation: 17-13=4
Exploring Operation: 44-17=27, Resulting Numbers: [13, 27]
Generated Node #0,4,4: 11:[13, 27] Operation: 44-17=27
Moving to Node #0,3
Current State: 11:[72, 17, 41], Operations: ['85-44=41']
Exploring Operation: 41-17=24, Resulting Numbers: [72, 24]
Generated Node #0,3,0: 11:[72, 24] Operation: 41-17=24
Exploring Operation: 72-41=31, Resulting Numbers: [17, 31]
Generated Node #0,3,1: 11:[17, 31] Operation: 72-41=31
Exploring Operation: 72-17=55, Resulting Numbers: [41, 55]
Generated Node #0,3,2: 11:[41, 55] Operation: 72-17=55
Exploring Operation: 72+17=89, Resulting Numbers: [41, 89]
Generated Node #0,3,3: 11:[41, 89] Operation: 72+17=89
Exploring Operation: 72+41=113, Resulting Numbers: [17, 113]
Generated Node #0,3,4: 11:[17, 113] Operation: 72+41=113
Moving to Node #0,1
Current State: 11:[85, 17, 28], Operations: ['72-44=28']
Exploring Operation: 85+17=102, Resulting Numbers: [28, 102]
Generated Node #0,1,0: 11:[28, 102] Operation: 85+17=102
Exploring Operation: 85/17=5, Resulting Numbers: [28, 5]
Generated Node #0,1,1: 11:[28, 5] Operation: 85/17=5
Exploring Operation: 28-17=11, Resulting Numbers: [85, 11]
Generated Node #0,1,2: 11:[85, 11] Operation: 28-17=11
Exploring Operation: 85-28=57, Resulting Numbers: [17, 57]
Generated Node #0,1,3: 11:[17, 57] Operation: 85-28=57
Exploring Operation: 85-17=68, Resulting Numbers: [28, 68]
Generated Node #0,1,4: 11:[28, 68] Operation: 85-17=68
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 11:[28, 5], Operations: ['72-44=28', '85/17=5']
Exploring Operation: 28*5=140, Resulting Numbers: [140]
140,11 unequal: No Solution
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,11 unequal: No Solution
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,11 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 #0,1,3
Current State: 11:[17, 57], Operations: ['72-44=28', '85-28=57']
Exploring Operation: 17+57=74, Resulting Numbers: [74]
74,11 unequal: No Solution
Exploring Operation: 57-17=40, Resulting Numbers: [40]
40,11 unequal: No Solution
Exploring Operation: 17*57=969, Resulting Numbers: [969]
969,11 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:[85, 11], Operations: ['72-44=28', '28-17=11']
Exploring Operation: 85*11=935, Resulting Numbers: [935]
935,11 unequal: No Solution
Exploring Operation: 85-11=74, Resulting Numbers: [74]
74,11 unequal: No Solution
Exploring Operation: 85+11=96, Resulting Numbers: [96]
96,11 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 #0,1,4
Current State: 11:[28, 68], Operations: ['72-44=28', '85-17=68']
Exploring Operation: 68-28=40, Resulting Numbers: [40]
40,11 unequal: No Solution
Exploring Operation: 28+68=96, Resulting Numbers: [96]
96,11 unequal: No Solution
Exploring Operation: 28*68=1904, Resulting Numbers: [1904]
1904,11 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:[28, 102], Operations: ['72-44=28', '85+17=102']
Exploring Operation: 102-28=74, Resulting Numbers: [74]
74,11 unequal: No Solution
Exploring Operation: 28*102=2856, Resulting Numbers: [2856]
2856,11 unequal: No Solution
Exploring Operation: 28+102=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 #0,0
Current State: 11:[44, 72, 5], Operations: ['85/17=5']
Exploring Operation: 44-5=39, Resulting Numbers: [72, 39]
Generated Node #0,0,0: 11:[72, 39] Operation: 44-5=39
Exploring Operation: 44+5=49, Resulting Numbers: [72, 49]
Generated Node #0,0,1: 11:[72, 49] Operation: 44+5=49
Exploring Operation: 72+5=77, Resulting Numbers: [44, 77]
Generated Node #0,0,2: 11:[44, 77] Operation: 72+5=77
Exploring Operation: 72-5=67, Resulting Numbers: [44, 67]
Generated Node #0,0,3: 11:[44, 67] Operation: 72-5=67
Exploring Operation: 72-44=28, Resulting Numbers: [5, 28]
Generated Node #0,0,4: 11:[5, 28] Operation: 72-44=28
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 11:[5, 28], Operations: ['85/17=5', '72-44=28']
Exploring Operation: 5*28=140, Resulting Numbers: [140]
140,11 unequal: No Solution
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,11 unequal: No Solution
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,11 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:[72, 39], Operations: ['85/17=5', '44-5=39']
Exploring Operation: 72+39=111, Resulting Numbers: [111]
111,11 unequal: No Solution
Exploring Operation: 72*39=2808, Resulting Numbers: [2808]
2808,11 unequal: No Solution
Exploring Operation: 72-39=33, Resulting Numbers: [33]
33,11 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:[44, 67], Operations: ['85/17=5', '72-5=67']
Exploring Operation: 44*67=2948, Resulting Numbers: [2948]
2948,11 unequal: No Solution
Exploring Operation: 67-44=23, Resulting Numbers: [23]
23,11 unequal: No Solution
Exploring Operation: 44+67=111, Resulting Numbers: [111]
111,11 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:[72, 49], Operations: ['85/17=5', '44+5=49']
Exploring Operation: 72+49=121, Resulting Numbers: [121]
121,11 unequal: No Solution
Exploring Operation: 72-49=23, Resulting Numbers: [23]
23,11 unequal: No Solution
Exploring Operation: 72*49=3528, Resulting Numbers: [3528]
3528,11 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 #0,0,2
Current State: 11:[44, 77], Operations: ['85/17=5', '72+5=77']
Exploring Operation: 77-44=33, Resulting Numbers: [33]
33,11 unequal: No Solution
Exploring Operation: 44*77=3388, Resulting Numbers: [3388]
3388,11 unequal: No Solution
Exploring Operation: 44+77=121, Resulting Numbers: [121]
121,11 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: 11:[72, 85, 27], Operations: ['44-17=27']
Exploring Operation: 85-72=13, Resulting Numbers: [27, 13]
Generated Node #0,2,0: 11:[27, 13] Operation: 85-72=13
Exploring Operation: 72+27=99, Resulting Numbers: [85, 99]
Generated Node #0,2,1: 11:[85, 99] Operation: 72+27=99
Exploring Operation: 72-27=45, Resulting Numbers: [85, 45]
Generated Node #0,2,2: 11:[85, 45] Operation: 72-27=45
Exploring Operation: 72+85=157, Resulting Numbers: [27, 157]
Generated Node #0,2,3: 11:[27, 157] Operation: 72+85=157
Exploring Operation: 85-27=58, Resulting Numbers: [72, 58]
Generated Node #0,2,4: 11:[72, 58] Operation: 85-27=58
Moving to Node #0,4,4
Current State: 11:[13, 27], Operations: ['85-72=13', '44-17=27']
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,11 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,11 unequal: No Solution
Exploring Operation: 13*27=351, Resulting Numbers: [351]
351,11 unequal: No Solution
Moving to Node #0,2,0
Current State: 11:[27, 13], Operations: ['44-17=27', '85-72=13']
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,11 unequal: No Solution
Exploring Operation: 27+13=40, Resulting Numbers: [40]
40,11 unequal: No Solution
Exploring Operation: 27*13=351, Resulting Numbers: [351]
351,11 unequal: No Solution
Moving to Node #0,3,1
Current State: 11:[17, 31], Operations: ['85-44=41', '72-41=31']
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,11 unequal: No Solution
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,11 unequal: No Solution
Exploring Operation: 17*31=527, Resulting Numbers: [527]
527,11 unequal: No Solution
Moving to Node #0,4,1
Current State: 11:[17, 31], Operations: ['85-72=13', '44-13=31']
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,11 unequal: No Solution
Exploring Operation: 17*31=527, Resulting Numbers: [527]
527,11 unequal: No Solution
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,11 unequal: No Solution
Moving to Node #0,4,3
Current State: 11:[44, 4], Operations: ['85-72=13', '17-13=4']
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,11 unequal: No Solution
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[44, 72, 85, 17], Operations: []
Exploring Operation: 85-72=13, Resulting Numbers: [44, 17, 13]
Generated Node #0,4: 11:[44, 17, 13] Operation: 85-72=13
Moving to Node #0,4
Current State: 11:[44, 17, 13], Operations: ['85-72=13']
Exploring Operation: 17-13=4, Resulting Numbers: [44, 4]
Generated Node #0,4,3: 11:[44, 4] Operation: 17-13=4
Moving to Node #0,4,3
Current State: 11:[44, 4], Operations: ['85-72=13', '17-13=4']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 0.932292 | hs_5 | mult_heuristic |
[
25,
54,
67,
52
] | 64 | [
"25+54=79",
"67-52=15",
"79-15=64"
] | Current State: 64:[25, 54, 67, 52], Operations: []
Exploring Operation: 25+54=79, Resulting Numbers: [67, 52, 79]
Generated Node #2: [67, 52, 79] from Operation: 25+54=79
Current State: 64:[67, 52, 79], Operations: ['25+54=79']
Exploring Operation: 67-52=15, Resulting Numbers: [79, 15]
Generated Node #3: [79, 15] from Operation: 67-52=15
Current State: 64:[79, 15], Operations: ['25+54=79', '67-52=15']
Exploring Operation: 79-15=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[25, 54, 67, 52], Operations: []
Exploring Operation: 54-25=29, Resulting Numbers: [67, 52, 29]
Generated Node #0,0: 64:[67, 52, 29] Operation: 54-25=29
Exploring Operation: 54-52=2, Resulting Numbers: [25, 67, 2]
Generated Node #0,1: 64:[25, 67, 2] Operation: 54-52=2
Moving to Node #0,1
Current State: 64:[25, 67, 2], Operations: ['54-52=2']
Exploring Operation: 25+2=27, Resulting Numbers: [67, 27]
Generated Node #0,1,0: 64:[67, 27] Operation: 25+2=27
Exploring Operation: 67-2=65, Resulting Numbers: [25, 65]
Generated Node #0,1,1: 64:[25, 65] Operation: 67-2=65
Moving to Node #0,0
Current State: 64:[67, 52, 29], Operations: ['54-25=29']
Exploring Operation: 52-29=23, Resulting Numbers: [67, 23]
Generated Node #0,0,0: 64:[67, 23] Operation: 52-29=23
Exploring Operation: 67-52=15, Resulting Numbers: [29, 15]
Generated Node #0,0,1: 64:[29, 15] Operation: 67-52=15
Moving to Node #0,0,1
Current State: 64:[29, 15], Operations: ['54-25=29', '67-52=15']
Exploring Operation: 29+15=44, Resulting Numbers: [44]
44,64 unequal: No Solution
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Moving to Node #0,1,0
Current State: 64:[67, 27], Operations: ['54-52=2', '25+2=27']
Exploring Operation: 67+27=94, Resulting Numbers: [94]
94,64 unequal: No Solution
Exploring Operation: 67-27=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[25, 65], Operations: ['54-52=2', '67-2=65']
Exploring Operation: 25+65=90, Resulting Numbers: [90]
90,64 unequal: No Solution
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[67, 23], Operations: ['54-25=29', '52-29=23']
Exploring Operation: 67+23=90, Resulting Numbers: [90]
90,64 unequal: No Solution
Exploring Operation: 67-23=44, Resulting Numbers: [44]
44,64 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
62,
55,
39,
15
] | 62 | [
"55-39=16",
"16-15=1",
"62*1=62"
] | Current State: 62:[62, 55, 39, 15], Operations: []
Exploring Operation: 55-39=16, Resulting Numbers: [62, 15, 16]
Generated Node #2: [62, 15, 16] from Operation: 55-39=16
Current State: 62:[62, 15, 16], Operations: ['55-39=16']
Exploring Operation: 16-15=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 16-15=1
Current State: 62:[62, 1], Operations: ['55-39=16', '16-15=1']
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[62, 55, 39, 15], Operations: []
Exploring Operation: 39-15=24, Resulting Numbers: [62, 55, 24]
Generated Node #0,0: 62:[62, 55, 24] Operation: 39-15=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[62, 55, 24], Operations: ['39-15=24']
Exploring Operation: 55-24=31, Resulting Numbers: [62, 31]
Generated Node #0,0,0: 62:[62, 31] Operation: 55-24=31
Moving to Node #0,0,0
Current State: 62:[62, 31], Operations: ['39-15=24', '55-24=31']
Exploring Operation: 62-31=31, Resulting Numbers: [31]
31,62 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 |
[
43,
99,
8,
72
] | 47 | [
"99-43=56",
"72/8=9",
"56-9=47"
] | Current State: 47:[43, 99, 8, 72], Operations: []
Exploring Operation: 99-43=56, Resulting Numbers: [8, 72, 56]
Generated Node #2: [8, 72, 56] from Operation: 99-43=56
Current State: 47:[8, 72, 56], Operations: ['99-43=56']
Exploring Operation: 72/8=9, Resulting Numbers: [56, 9]
Generated Node #3: [56, 9] from Operation: 72/8=9
Current State: 47:[56, 9], Operations: ['99-43=56', '72/8=9']
Exploring Operation: 56-9=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[43, 99, 8, 72], Operations: []
Exploring Operation: 99-72=27, Resulting Numbers: [43, 8, 27]
Generated Node #0,0: 47:[43, 8, 27] Operation: 99-72=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[43, 8, 27], Operations: ['99-72=27']
Exploring Operation: 8+27=35, Resulting Numbers: [43, 35]
Generated Node #0,0,0: 47:[43, 35] Operation: 8+27=35
Moving to Node #0,0,0
Current State: 47:[43, 35], Operations: ['99-72=27', '8+27=35']
Exploring Operation: 43+35=78, Resulting Numbers: [78]
78,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
3,
53,
51,
43
] | 49 | [
"53+51=104",
"43+104=147",
"147/3=49"
] | Current State: 49:[3, 53, 51, 43], Operations: []
Exploring Operation: 53+51=104, Resulting Numbers: [3, 43, 104]
Generated Node #2: [3, 43, 104] from Operation: 53+51=104
Current State: 49:[3, 43, 104], Operations: ['53+51=104']
Exploring Operation: 43+104=147, Resulting Numbers: [3, 147]
Generated Node #3: [3, 147] from Operation: 43+104=147
Current State: 49:[3, 147], Operations: ['53+51=104', '43+104=147']
Exploring Operation: 147/3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[3, 53, 51, 43], Operations: []
Exploring Operation: 53-3=50, Resulting Numbers: [51, 43, 50]
Generated Node #0,0: 49:[51, 43, 50] Operation: 53-3=50
Moving to Node #0,0
Current State: 49:[51, 43, 50], Operations: ['53-3=50']
Exploring Operation: 51-43=8, Resulting Numbers: [50, 8]
Generated Node #0,0,0: 49:[50, 8] Operation: 51-43=8
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 49:[50, 8], Operations: ['53-3=50', '51-43=8']
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,49 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 |
[
40,
19,
7,
18
] | 60 | [
"40*18=720",
"19-7=12",
"720/12=60"
] | Current State: 60:[40, 19, 7, 18], Operations: []
Exploring Operation: 40*18=720, Resulting Numbers: [19, 7, 720]
Generated Node #2: [19, 7, 720] from Operation: 40*18=720
Current State: 60:[19, 7, 720], Operations: ['40*18=720']
Exploring Operation: 19-7=12, Resulting Numbers: [720, 12]
Generated Node #3: [720, 12] from Operation: 19-7=12
Current State: 60:[720, 12], Operations: ['40*18=720', '19-7=12']
Exploring Operation: 720/12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[40, 19, 7, 18], Operations: []
Exploring Operation: 40+19=59, Resulting Numbers: [7, 18, 59]
Generated Node #0,0: 60:[7, 18, 59] Operation: 40+19=59
Exploring Operation: 40-19=21, Resulting Numbers: [7, 18, 21]
Generated Node #0,1: 60:[7, 18, 21] Operation: 40-19=21
Exploring Operation: 40-18=22, Resulting Numbers: [19, 7, 22]
Generated Node #0,2: 60:[19, 7, 22] Operation: 40-18=22
Exploring Operation: 40+18=58, Resulting Numbers: [19, 7, 58]
Generated Node #0,3: 60:[19, 7, 58] Operation: 40+18=58
Moving to Node #0,0
Current State: 60:[7, 18, 59], Operations: ['40+19=59']
Exploring Operation: 18-7=11, Resulting Numbers: [59, 11]
Generated Node #0,0,0: 60:[59, 11] Operation: 18-7=11
Exploring Operation: 59-7=52, Resulting Numbers: [18, 52]
Generated Node #0,0,1: 60:[18, 52] Operation: 59-7=52
Exploring Operation: 7+18=25, Resulting Numbers: [59, 25]
Generated Node #0,0,2: 60:[59, 25] Operation: 7+18=25
Exploring Operation: 7+59=66, Resulting Numbers: [18, 66]
Generated Node #0,0,3: 60:[18, 66] Operation: 7+59=66
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 60:[59, 11], Operations: ['40+19=59', '18-7=11']
Exploring Operation: 59*11=649, Resulting Numbers: [649]
649,60 unequal: No Solution
Exploring Operation: 59-11=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Exploring Operation: 59+11=70, Resulting Numbers: [70]
70,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 60:[59, 25], Operations: ['40+19=59', '7+18=25']
Exploring Operation: 59*25=1475, Resulting Numbers: [1475]
1475,60 unequal: No Solution
Exploring Operation: 59-25=34, Resulting Numbers: [34]
34,60 unequal: No Solution
Exploring Operation: 59+25=84, Resulting Numbers: [84]
84,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 60:[18, 66], Operations: ['40+19=59', '7+59=66']
Exploring Operation: 18*66=1188, Resulting Numbers: [1188]
1188,60 unequal: No Solution
Exploring Operation: 66-18=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Exploring Operation: 18+66=84, Resulting Numbers: [84]
84,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 60:[18, 52], Operations: ['40+19=59', '59-7=52']
Exploring Operation: 18+52=70, Resulting Numbers: [70]
70,60 unequal: No Solution
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,60 unequal: No Solution
Exploring Operation: 18*52=936, Resulting Numbers: [936]
936,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 60:[19, 7, 22], Operations: ['40-18=22']
Exploring Operation: 22-19=3, Resulting Numbers: [7, 3]
Generated Node #0,2,0: 60:[7, 3] Operation: 22-19=3
Exploring Operation: 19-7=12, Resulting Numbers: [22, 12]
Generated Node #0,2,1: 60:[22, 12] Operation: 19-7=12
Exploring Operation: 22-7=15, Resulting Numbers: [19, 15]
Generated Node #0,2,2: 60:[19, 15] Operation: 22-7=15
Exploring Operation: 7+22=29, Resulting Numbers: [19, 29]
Generated Node #0,2,3: 60:[19, 29] Operation: 7+22=29
Moving to Node #0,1
Current State: 60:[7, 18, 21], Operations: ['40-19=21']
Exploring Operation: 21-7=14, Resulting Numbers: [18, 14]
Generated Node #0,1,0: 60:[18, 14] Operation: 21-7=14
Exploring Operation: 18-7=11, Resulting Numbers: [21, 11]
Generated Node #0,1,1: 60:[21, 11] Operation: 18-7=11
Exploring Operation: 21-18=3, Resulting Numbers: [7, 3]
Generated Node #0,1,2: 60:[7, 3] Operation: 21-18=3
Exploring Operation: 21/7=3, Resulting Numbers: [18, 3]
Generated Node #0,1,3: 60:[18, 3] Operation: 21/7=3
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 60:[7, 3], Operations: ['40-19=21', '21-18=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,60 unequal: No Solution
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,60 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 60:[21, 11], Operations: ['40-19=21', '18-7=11']
Exploring Operation: 21*11=231, Resulting Numbers: [231]
231,60 unequal: No Solution
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,60 unequal: No Solution
Exploring Operation: 21+11=32, Resulting Numbers: [32]
32,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 60:[18, 3], Operations: ['40-19=21', '21/7=3']
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,60 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,60 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 60:[18, 14], Operations: ['40-19=21', '21-7=14']
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 18*14=252, Resulting Numbers: [252]
252,60 unequal: No Solution
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,60 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: 60:[19, 7, 58], Operations: ['40+18=58']
Exploring Operation: 58-19=39, Resulting Numbers: [7, 39]
Generated Node #0,3,0: 60:[7, 39] Operation: 58-19=39
Exploring Operation: 19-7=12, Resulting Numbers: [58, 12]
Generated Node #0,3,1: 60:[58, 12] Operation: 19-7=12
Exploring Operation: 19+7=26, Resulting Numbers: [58, 26]
Generated Node #0,3,2: 60:[58, 26] Operation: 19+7=26
Exploring Operation: 7+58=65, Resulting Numbers: [19, 65]
Generated Node #0,3,3: 60:[19, 65] Operation: 7+58=65
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 60:[58, 12], Operations: ['40+18=58', '19-7=12']
Exploring Operation: 58-12=46, Resulting Numbers: [46]
46,60 unequal: No Solution
Exploring Operation: 58+12=70, Resulting Numbers: [70]
70,60 unequal: No Solution
Exploring Operation: 58*12=696, Resulting Numbers: [696]
696,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 60:[58, 26], Operations: ['40+18=58', '19+7=26']
Exploring Operation: 58+26=84, Resulting Numbers: [84]
84,60 unequal: No Solution
Exploring Operation: 58-26=32, Resulting Numbers: [32]
32,60 unequal: No Solution
Exploring Operation: 58*26=1508, Resulting Numbers: [1508]
1508,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 60:[19, 65], Operations: ['40+18=58', '7+58=65']
Exploring Operation: 19*65=1235, Resulting Numbers: [1235]
1235,60 unequal: No Solution
Exploring Operation: 19+65=84, Resulting Numbers: [84]
84,60 unequal: No Solution
Exploring Operation: 65-19=46, Resulting Numbers: [46]
46,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 60:[7, 39], Operations: ['40+18=58', '58-19=39']
Exploring Operation: 39-7=32, Resulting Numbers: [32]
32,60 unequal: No Solution
Exploring Operation: 7*39=273, Resulting Numbers: [273]
273,60 unequal: No Solution
Exploring Operation: 7+39=46, Resulting Numbers: [46]
46,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 60:[7, 3], Operations: ['40-18=22', '22-19=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,60 unequal: No Solution
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,60 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Moving to Node #0,2,2
Current State: 60:[19, 15], Operations: ['40-18=22', '22-7=15']
Exploring Operation: 19*15=285, Resulting Numbers: [285]
285,60 unequal: No Solution
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,60 unequal: No Solution
Moving to Node #0,2,3
Current State: 60:[19, 29], Operations: ['40-18=22', '7+22=29']
Exploring Operation: 29-19=10, Resulting Numbers: [10]
10,60 unequal: No Solution
Exploring Operation: 19*29=551, Resulting Numbers: [551]
551,60 unequal: No Solution
Exploring Operation: 19+29=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Moving to Node #0,2,1
Current State: 60:[22, 12], Operations: ['40-18=22', '19-7=12']
Exploring Operation: 22+12=34, Resulting Numbers: [34]
34,60 unequal: No Solution
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,60 unequal: No Solution
Exploring Operation: 22*12=264, Resulting Numbers: [264]
264,60 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
5,
81,
10,
74
] | 21 | [
"81+74=155",
"155/5=31",
"31-10=21"
] | Current State: 21:[5, 81, 10, 74], Operations: []
Exploring Operation: 81+74=155, Resulting Numbers: [5, 10, 155]
Generated Node #2: [5, 10, 155] from Operation: 81+74=155
Current State: 21:[5, 10, 155], Operations: ['81+74=155']
Exploring Operation: 155/5=31, Resulting Numbers: [10, 31]
Generated Node #3: [10, 31] from Operation: 155/5=31
Current State: 21:[10, 31], Operations: ['81+74=155', '155/5=31']
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[5, 81, 10, 74], Operations: []
Exploring Operation: 74-10=64, Resulting Numbers: [5, 81, 64]
Generated Node #0,0: 21:[5, 81, 64] Operation: 74-10=64
Exploring Operation: 81-74=7, Resulting Numbers: [5, 10, 7]
Generated Node #0,1: 21:[5, 10, 7] Operation: 81-74=7
Exploring Operation: 81-5=76, Resulting Numbers: [10, 74, 76]
Generated Node #0,2: 21:[10, 74, 76] Operation: 81-5=76
Exploring Operation: 81-10=71, Resulting Numbers: [5, 74, 71]
Generated Node #0,3: 21:[5, 74, 71] Operation: 81-10=71
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[5, 10, 7], Operations: ['81-74=7']
Exploring Operation: 7-5=2, Resulting Numbers: [10, 2]
Generated Node #0,1,0: 21:[10, 2] Operation: 7-5=2
Exploring Operation: 10-5=5, Resulting Numbers: [7, 5]
Generated Node #0,1,1: 21:[7, 5] Operation: 10-5=5
Exploring Operation: 10-7=3, Resulting Numbers: [5, 3]
Generated Node #0,1,2: 21:[5, 3] Operation: 10-7=3
Exploring Operation: 10/5=2, Resulting Numbers: [7, 2]
Generated Node #0,1,3: 21:[7, 2] Operation: 10/5=2
Moving to Node #0,1,3
Current State: 21:[7, 2], Operations: ['81-74=7', '10/5=2']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,21 unequal: No Solution
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,21 unequal: No Solution
Exploring Operation: 7*2=14, Resulting Numbers: [14]
14,21 unequal: No Solution
Moving to Node #0,1,2
Current State: 21:[5, 3], Operations: ['81-74=7', '10-7=3']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,21 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Moving to Node #0,1,1
Current State: 21:[7, 5], Operations: ['81-74=7', '10-5=5']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,21 unequal: No Solution
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Moving to Node #0,1,0
Current State: 21:[10, 2], Operations: ['81-74=7', '7-5=2']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,21 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,21 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[5, 81, 64], Operations: ['74-10=64']
Exploring Operation: 81-64=17, Resulting Numbers: [5, 17]
Generated Node #0,0,0: 21:[5, 17] Operation: 81-64=17
Exploring Operation: 5+81=86, Resulting Numbers: [64, 86]
Generated Node #0,0,1: 21:[64, 86] Operation: 5+81=86
Exploring Operation: 64-5=59, Resulting Numbers: [81, 59]
Generated Node #0,0,2: 21:[81, 59] Operation: 64-5=59
Exploring Operation: 81-5=76, Resulting Numbers: [64, 76]
Generated Node #0,0,3: 21:[64, 76] Operation: 81-5=76
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 21:[5, 17], Operations: ['74-10=64', '81-64=17']
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,21 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 21:[81, 59], Operations: ['74-10=64', '64-5=59']
Exploring Operation: 81+59=140, Resulting Numbers: [140]
140,21 unequal: No Solution
Exploring Operation: 81-59=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 81*59=4779, Resulting Numbers: [4779]
4779,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 21:[64, 76], Operations: ['74-10=64', '81-5=76']
Exploring Operation: 76-64=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Exploring Operation: 64*76=4864, Resulting Numbers: [4864]
4864,21 unequal: No Solution
Exploring Operation: 64+76=140, Resulting Numbers: [140]
140,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 21:[64, 86], Operations: ['74-10=64', '5+81=86']
Exploring Operation: 64+86=150, Resulting Numbers: [150]
150,21 unequal: No Solution
Exploring Operation: 86-64=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 64*86=5504, Resulting Numbers: [5504]
5504,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 21:[5, 74, 71], Operations: ['81-10=71']
Exploring Operation: 5+74=79, Resulting Numbers: [71, 79]
Generated Node #0,3,0: 21:[71, 79] Operation: 5+74=79
Exploring Operation: 74-5=69, Resulting Numbers: [71, 69]
Generated Node #0,3,1: 21:[71, 69] Operation: 74-5=69
Exploring Operation: 74-71=3, Resulting Numbers: [5, 3]
Generated Node #0,3,2: 21:[5, 3] Operation: 74-71=3
Exploring Operation: 71-5=66, Resulting Numbers: [74, 66]
Generated Node #0,3,3: 21:[74, 66] Operation: 71-5=66
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 21:[5, 3], Operations: ['81-10=71', '74-71=3']
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,21 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 21:[71, 69], Operations: ['81-10=71', '74-5=69']
Exploring Operation: 71*69=4899, Resulting Numbers: [4899]
4899,21 unequal: No Solution
Exploring Operation: 71-69=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 71+69=140, Resulting Numbers: [140]
140,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 21:[74, 66], Operations: ['81-10=71', '71-5=66']
Exploring Operation: 74-66=8, Resulting Numbers: [8]
8,21 unequal: No Solution
Exploring Operation: 74+66=140, Resulting Numbers: [140]
140,21 unequal: No Solution
Exploring Operation: 74*66=4884, Resulting Numbers: [4884]
4884,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 21:[71, 79], Operations: ['81-10=71', '5+74=79']
Exploring Operation: 71+79=150, Resulting Numbers: [150]
150,21 unequal: No Solution
Exploring Operation: 79-71=8, Resulting Numbers: [8]
8,21 unequal: No Solution
Exploring Operation: 71*79=5609, Resulting Numbers: [5609]
5609,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 21:[10, 74, 76], Operations: ['81-5=76']
Exploring Operation: 74-10=64, Resulting Numbers: [76, 64]
Generated Node #0,2,0: 21:[76, 64] Operation: 74-10=64
Exploring Operation: 76-10=66, Resulting Numbers: [74, 66]
Generated Node #0,2,1: 21:[74, 66] Operation: 76-10=66
Exploring Operation: 76-74=2, Resulting Numbers: [10, 2]
Generated Node #0,2,2: 21:[10, 2] Operation: 76-74=2
Exploring Operation: 10+74=84, Resulting Numbers: [76, 84]
Generated Node #0,2,3: 21:[76, 84] Operation: 10+74=84
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 21:[10, 2], Operations: ['81-5=76', '76-74=2']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,21 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,21 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 21:[76, 64], Operations: ['81-5=76', '74-10=64']
Exploring Operation: 76-64=12, Resulting Numbers: [12]
12,21 unequal: No Solution
Exploring Operation: 76+64=140, Resulting Numbers: [140]
140,21 unequal: No Solution
Exploring Operation: 76*64=4864, Resulting Numbers: [4864]
4864,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 21:[74, 66], Operations: ['81-5=76', '76-10=66']
Exploring Operation: 74+66=140, Resulting Numbers: [140]
140,21 unequal: No Solution
Exploring Operation: 74*66=4884, Resulting Numbers: [4884]
4884,21 unequal: No Solution
Exploring Operation: 74-66=8, Resulting Numbers: [8]
8,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 21:[76, 84], Operations: ['81-5=76', '10+74=84']
Exploring Operation: 76*84=6384, Resulting Numbers: [6384]
6384,21 unequal: No Solution
Exploring Operation: 76+84=160, Resulting Numbers: [160]
160,21 unequal: No Solution
Exploring Operation: 84-76=8, Resulting Numbers: [8]
8,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
96,
20,
31,
70
] | 25 | [
"96-20=76",
"31+70=101",
"101-76=25"
] | Current State: 25:[96, 20, 31, 70], Operations: []
Exploring Operation: 96-20=76, Resulting Numbers: [31, 70, 76]
Generated Node #2: [31, 70, 76] from Operation: 96-20=76
Current State: 25:[31, 70, 76], Operations: ['96-20=76']
Exploring Operation: 31+70=101, Resulting Numbers: [76, 101]
Generated Node #3: [76, 101] from Operation: 31+70=101
Current State: 25:[76, 101], Operations: ['96-20=76', '31+70=101']
Exploring Operation: 101-76=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[96, 20, 31, 70], Operations: []
Exploring Operation: 96-31=65, Resulting Numbers: [20, 70, 65]
Generated Node #0,0: 25:[20, 70, 65] Operation: 96-31=65
Exploring Operation: 96-70=26, Resulting Numbers: [20, 31, 26]
Generated Node #0,1: 25:[20, 31, 26] Operation: 96-70=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[20, 31, 26], Operations: ['96-70=26']
Exploring Operation: 31-26=5, Resulting Numbers: [20, 5]
Generated Node #0,1,0: 25:[20, 5] Operation: 31-26=5
Exploring Operation: 31-20=11, Resulting Numbers: [26, 11]
Generated Node #0,1,1: 25:[26, 11] Operation: 31-20=11
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 25:[20, 5], Operations: ['96-70=26', '31-26=5']
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[96, 20, 31, 70], Operations: []
Exploring Operation: 96-70=26, Resulting Numbers: [20, 31, 26]
Generated Node #0,1: 25:[20, 31, 26] Operation: 96-70=26
Moving to Node #0,1
Current State: 25:[20, 31, 26], Operations: ['96-70=26']
Exploring Operation: 31-26=5, Resulting Numbers: [20, 5]
Generated Node #0,1,0: 25:[20, 5] Operation: 31-26=5
Moving to Node #0,1,0
Current State: 25:[20, 5], Operations: ['96-70=26', '31-26=5']
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
95,
78,
85,
17
] | 85 | [
"95-78=17",
"85+17=102",
"102-17=85"
] | Current State: 85:[95, 78, 85, 17], Operations: []
Exploring Operation: 95-78=17, Resulting Numbers: [85, 17, 17]
Generated Node #2: [85, 17, 17] from Operation: 95-78=17
Current State: 85:[85, 17, 17], Operations: ['95-78=17']
Exploring Operation: 85+17=102, Resulting Numbers: [102]
102,85 equal: Goal Reached
Exploring Operation: 102-17=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[95, 78, 85, 17], Operations: []
Exploring Operation: 85-78=7, Resulting Numbers: [95, 17, 7]
Generated Node #0,0: 85:[95, 17, 7] Operation: 85-78=7
Exploring Operation: 95-85=10, Resulting Numbers: [78, 17, 10]
Generated Node #0,1: 85:[78, 17, 10] Operation: 95-85=10
Exploring Operation: 85/17=5, Resulting Numbers: [95, 78, 5]
Generated Node #0,2: 85:[95, 78, 5] Operation: 85/17=5
Exploring Operation: 95-17=78, Resulting Numbers: [78, 85, 78]
Generated Node #0,3: 85:[78, 85, 78] Operation: 95-17=78
Exploring Operation: 95-78=17, Resulting Numbers: [85, 17, 17]
Generated Node #0,4: 85:[85, 17, 17] Operation: 95-78=17
Start Sub Search at level 1: Moving to Node #0,4
Current State: 85:[85, 17, 17], Operations: ['95-78=17']
Exploring Operation: 85/17=5, Resulting Numbers: [17, 5]
Generated Node #0,4,0: 85:[17, 5] Operation: 85/17=5
Exploring Operation: 85/17=5, Resulting Numbers: [17, 5]
Generated Node #0,4,1: 85:[17, 5] Operation: 85/17=5
Exploring Operation: 17/17=1, Resulting Numbers: [85, 1]
Generated Node #0,4,2: 85:[85, 1] Operation: 17/17=1
Exploring Operation: 85+17=102, Resulting Numbers: [17, 102]
Generated Node #0,4,3: 85:[17, 102] Operation: 85+17=102
Exploring Operation: 17-17=0, Resulting Numbers: [85, 0]
Generated Node #0,4,4: 85:[85, 0] Operation: 17-17=0
Moving to Node #0,4,0
Current State: 85:[17, 5], Operations: ['95-78=17', '85/17=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[95, 78, 85, 17], Operations: []
Exploring Operation: 95-78=17, Resulting Numbers: [85, 17, 17]
Generated Node #0,4: 85:[85, 17, 17] Operation: 95-78=17
Moving to Node #0,4
Current State: 85:[85, 17, 17], Operations: ['95-78=17']
Exploring Operation: 85/17=5, Resulting Numbers: [17, 5]
Generated Node #0,4,0: 85:[17, 5] Operation: 85/17=5
Moving to Node #0,4,0
Current State: 85:[17, 5], Operations: ['95-78=17', '85/17=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
35,
52,
47,
45
] | 61 | [
"47-45=2",
"52/2=26",
"35+26=61"
] | Current State: 61:[35, 52, 47, 45], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [35, 52, 2]
Generated Node #2: [35, 52, 2] from Operation: 47-45=2
Current State: 61:[35, 52, 2], Operations: ['47-45=2']
Exploring Operation: 52/2=26, Resulting Numbers: [35, 26]
Generated Node #3: [35, 26] from Operation: 52/2=26
Current State: 61:[35, 26], Operations: ['47-45=2', '52/2=26']
Exploring Operation: 35+26=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[35, 52, 47, 45], Operations: []
Exploring Operation: 35+52=87, Resulting Numbers: [47, 45, 87]
Generated Node #0,0: 61:[47, 45, 87] Operation: 35+52=87
Exploring Operation: 35+45=80, Resulting Numbers: [52, 47, 80]
Generated Node #0,1: 61:[52, 47, 80] Operation: 35+45=80
Exploring Operation: 47+45=92, Resulting Numbers: [35, 52, 92]
Generated Node #0,2: 61:[35, 52, 92] Operation: 47+45=92
Exploring Operation: 35+47=82, Resulting Numbers: [52, 45, 82]
Generated Node #0,3: 61:[52, 45, 82] Operation: 35+47=82
Moving to Node #0,1
Current State: 61:[52, 47, 80], Operations: ['35+45=80']
Exploring Operation: 52-47=5, Resulting Numbers: [80, 5]
Generated Node #0,1,0: 61:[80, 5] Operation: 52-47=5
Exploring Operation: 80-52=28, Resulting Numbers: [47, 28]
Generated Node #0,1,1: 61:[47, 28] Operation: 80-52=28
Exploring Operation: 52+47=99, Resulting Numbers: [80, 99]
Generated Node #0,1,2: 61:[80, 99] Operation: 52+47=99
Exploring Operation: 80-47=33, Resulting Numbers: [52, 33]
Generated Node #0,1,3: 61:[52, 33] Operation: 80-47=33
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 61:[52, 33], Operations: ['35+45=80', '80-47=33']
Exploring Operation: 52+33=85, Resulting Numbers: [85]
85,61 unequal: No Solution
Exploring Operation: 52*33=1716, Resulting Numbers: [1716]
1716,61 unequal: No Solution
Exploring Operation: 52-33=19, Resulting Numbers: [19]
19,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 61:[47, 28], Operations: ['35+45=80', '80-52=28']
Exploring Operation: 47+28=75, Resulting Numbers: [75]
75,61 unequal: No Solution
Exploring Operation: 47*28=1316, Resulting Numbers: [1316]
1316,61 unequal: No Solution
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 61:[80, 99], Operations: ['35+45=80', '52+47=99']
Exploring Operation: 80*99=7920, Resulting Numbers: [7920]
7920,61 unequal: No Solution
Exploring Operation: 80+99=179, Resulting Numbers: [179]
179,61 unequal: No Solution
Exploring Operation: 99-80=19, Resulting Numbers: [19]
19,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 61:[80, 5], Operations: ['35+45=80', '52-47=5']
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,61 unequal: No Solution
Exploring Operation: 80*5=400, Resulting Numbers: [400]
400,61 unequal: No Solution
Exploring Operation: 80+5=85, Resulting Numbers: [85]
85,61 unequal: No Solution
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,61 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: 61:[52, 45, 82], Operations: ['35+47=82']
Exploring Operation: 82-52=30, Resulting Numbers: [45, 30]
Generated Node #0,3,0: 61:[45, 30] Operation: 82-52=30
Exploring Operation: 52+45=97, Resulting Numbers: [82, 97]
Generated Node #0,3,1: 61:[82, 97] Operation: 52+45=97
Exploring Operation: 52-45=7, Resulting Numbers: [82, 7]
Generated Node #0,3,2: 61:[82, 7] Operation: 52-45=7
Exploring Operation: 82-45=37, Resulting Numbers: [52, 37]
Generated Node #0,3,3: 61:[52, 37] Operation: 82-45=37
Moving to Node #0,0
Current State: 61:[47, 45, 87], Operations: ['35+52=87']
Exploring Operation: 87-47=40, Resulting Numbers: [45, 40]
Generated Node #0,0,0: 61:[45, 40] Operation: 87-47=40
Exploring Operation: 47-45=2, Resulting Numbers: [87, 2]
Generated Node #0,0,1: 61:[87, 2] Operation: 47-45=2
Exploring Operation: 47+45=92, Resulting Numbers: [87, 92]
Generated Node #0,0,2: 61:[87, 92] Operation: 47+45=92
Exploring Operation: 87-45=42, Resulting Numbers: [47, 42]
Generated Node #0,0,3: 61:[47, 42] Operation: 87-45=42
Moving to Node #0,2
Current State: 61:[35, 52, 92], Operations: ['47+45=92']
Exploring Operation: 92-52=40, Resulting Numbers: [35, 40]
Generated Node #0,2,0: 61:[35, 40] Operation: 92-52=40
Exploring Operation: 92-35=57, Resulting Numbers: [52, 57]
Generated Node #0,2,1: 61:[52, 57] Operation: 92-35=57
Exploring Operation: 35+52=87, Resulting Numbers: [92, 87]
Generated Node #0,2,2: 61:[92, 87] Operation: 35+52=87
Exploring Operation: 52-35=17, Resulting Numbers: [92, 17]
Generated Node #0,2,3: 61:[92, 17] Operation: 52-35=17
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 61:[52, 57], Operations: ['47+45=92', '92-35=57']
Exploring Operation: 57-52=5, Resulting Numbers: [5]
5,61 unequal: No Solution
Exploring Operation: 52+57=109, Resulting Numbers: [109]
109,61 unequal: No Solution
Exploring Operation: 52*57=2964, Resulting Numbers: [2964]
2964,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 61:[35, 40], Operations: ['47+45=92', '92-52=40']
Exploring Operation: 40-35=5, Resulting Numbers: [5]
5,61 unequal: No Solution
Exploring Operation: 35+40=75, Resulting Numbers: [75]
75,61 unequal: No Solution
Exploring Operation: 35*40=1400, Resulting Numbers: [1400]
1400,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 61:[92, 87], Operations: ['47+45=92', '35+52=87']
Exploring Operation: 92*87=8004, Resulting Numbers: [8004]
8004,61 unequal: No Solution
Exploring Operation: 92-87=5, Resulting Numbers: [5]
5,61 unequal: No Solution
Exploring Operation: 92+87=179, Resulting Numbers: [179]
179,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 61:[92, 17], Operations: ['47+45=92', '52-35=17']
Exploring Operation: 92-17=75, Resulting Numbers: [75]
75,61 unequal: No Solution
Exploring Operation: 92+17=109, Resulting Numbers: [109]
109,61 unequal: No Solution
Exploring Operation: 92*17=1564, Resulting Numbers: [1564]
1564,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,3
Current State: 61:[52, 37], Operations: ['35+47=82', '82-45=37']
Exploring Operation: 52+37=89, Resulting Numbers: [89]
89,61 unequal: No Solution
Exploring Operation: 52-37=15, Resulting Numbers: [15]
15,61 unequal: No Solution
Exploring Operation: 52*37=1924, Resulting Numbers: [1924]
1924,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[47, 42], Operations: ['35+52=87', '87-45=42']
Exploring Operation: 47*42=1974, Resulting Numbers: [1974]
1974,61 unequal: No Solution
Exploring Operation: 47-42=5, Resulting Numbers: [5]
5,61 unequal: No Solution
Exploring Operation: 47+42=89, Resulting Numbers: [89]
89,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[45, 40], Operations: ['35+52=87', '87-47=40']
Exploring Operation: 45+40=85, Resulting Numbers: [85]
85,61 unequal: No Solution
Exploring Operation: 45*40=1800, Resulting Numbers: [1800]
1800,61 unequal: No Solution
Exploring Operation: 45-40=5, Resulting Numbers: [5]
5,61 unequal: No Solution
Moving to Node #0,3,0
Current State: 61:[45, 30], Operations: ['35+47=82', '82-52=30']
Exploring Operation: 45*30=1350, Resulting Numbers: [1350]
1350,61 unequal: No Solution
Exploring Operation: 45-30=15, Resulting Numbers: [15]
15,61 unequal: No Solution
Exploring Operation: 45+30=75, Resulting Numbers: [75]
75,61 unequal: No Solution
Moving to Node #0,3,1
Current State: 61:[82, 97], Operations: ['35+47=82', '52+45=97']
Exploring Operation: 82+97=179, Resulting Numbers: [179]
179,61 unequal: No Solution
Exploring Operation: 97-82=15, Resulting Numbers: [15]
15,61 unequal: No Solution
Exploring Operation: 82*97=7954, Resulting Numbers: [7954]
7954,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[87, 92], Operations: ['35+52=87', '47+45=92']
Exploring Operation: 87*92=8004, Resulting Numbers: [8004]
8004,61 unequal: No Solution
Exploring Operation: 87+92=179, Resulting Numbers: [179]
179,61 unequal: No Solution
Exploring Operation: 92-87=5, Resulting Numbers: [5]
5,61 unequal: No Solution
Moving to Node #0,3,2
Current State: 61:[82, 7], Operations: ['35+47=82', '52-45=7']
Exploring Operation: 82*7=574, Resulting Numbers: [574]
574,61 unequal: No Solution
Exploring Operation: 82+7=89, Resulting Numbers: [89]
89,61 unequal: No Solution
Exploring Operation: 82-7=75, Resulting Numbers: [75]
75,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[87, 2], Operations: ['35+52=87', '47-45=2']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,61 unequal: No Solution
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,61 unequal: No Solution
Exploring Operation: 87*2=174, Resulting Numbers: [174]
174,61 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
45,
41,
1,
96
] | 24 | [
"45-41=4",
"1*96=96",
"96/4=24"
] | Current State: 24:[45, 41, 1, 96], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [1, 96, 4]
Generated Node #2: [1, 96, 4] from Operation: 45-41=4
Current State: 24:[1, 96, 4], Operations: ['45-41=4']
Exploring Operation: 1*96=96, Resulting Numbers: [4, 96]
Generated Node #3: [4, 96] from Operation: 1*96=96
Current State: 24:[4, 96], Operations: ['45-41=4', '1*96=96']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[45, 41, 1, 96], Operations: []
Exploring Operation: 96-45=51, Resulting Numbers: [41, 1, 51]
Generated Node #0,0: 24:[41, 1, 51] Operation: 96-45=51
Exploring Operation: 96-41=55, Resulting Numbers: [45, 1, 55]
Generated Node #0,1: 24:[45, 1, 55] Operation: 96-41=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[41, 1, 51], Operations: ['96-45=51']
Exploring Operation: 41-1=40, Resulting Numbers: [51, 40]
Generated Node #0,0,0: 24:[51, 40] Operation: 41-1=40
Exploring Operation: 51-41=10, Resulting Numbers: [1, 10]
Generated Node #0,0,1: 24:[1, 10] Operation: 51-41=10
Moving to Node #0,0,1
Current State: 24:[1, 10], Operations: ['96-45=51', '51-41=10']
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,24 unequal: No Solution
Exploring Operation: 1+10=11, Resulting Numbers: [11]
11,24 unequal: No Solution
Moving to Node #0,0,0
Current State: 24:[51, 40], Operations: ['96-45=51', '41-1=40']
Exploring Operation: 51+40=91, Resulting Numbers: [91]
91,24 unequal: No Solution
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[45, 1, 55], Operations: ['96-41=55']
Exploring Operation: 55-45=10, Resulting Numbers: [1, 10]
Generated Node #0,1,0: 24:[1, 10] Operation: 55-45=10
Exploring Operation: 45-1=44, Resulting Numbers: [55, 44]
Generated Node #0,1,1: 24:[55, 44] Operation: 45-1=44
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 24:[1, 10], Operations: ['96-41=55', '55-45=10']
Exploring Operation: 1+10=11, Resulting Numbers: [11]
11,24 unequal: No Solution
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 24:[55, 44], Operations: ['96-41=55', '45-1=44']
Exploring Operation: 55-44=11, Resulting Numbers: [11]
11,24 unequal: No Solution
Exploring Operation: 55+44=99, Resulting Numbers: [99]
99,24 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_2 | mult_heuristic |
[
8,
57,
4,
63
] | 51 | [
"8*57=456",
"456/4=114",
"114-63=51"
] | Current State: 51:[8, 57, 4, 63], Operations: []
Exploring Operation: 8*57=456, Resulting Numbers: [4, 63, 456]
Generated Node #2: [4, 63, 456] from Operation: 8*57=456
Current State: 51:[4, 63, 456], Operations: ['8*57=456']
Exploring Operation: 456/4=114, Resulting Numbers: [63, 114]
Generated Node #3: [63, 114] from Operation: 456/4=114
Current State: 51:[63, 114], Operations: ['8*57=456', '456/4=114']
Exploring Operation: 114-63=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[8, 57, 4, 63], Operations: []
Exploring Operation: 63-8=55, Resulting Numbers: [57, 4, 55]
Generated Node #0,0: 51:[57, 4, 55] Operation: 63-8=55
Exploring Operation: 63-57=6, Resulting Numbers: [8, 4, 6]
Generated Node #0,1: 51:[8, 4, 6] Operation: 63-57=6
Exploring Operation: 57-8=49, Resulting Numbers: [4, 63, 49]
Generated Node #0,2: 51:[4, 63, 49] Operation: 57-8=49
Moving to Node #0,1
Current State: 51:[8, 4, 6], Operations: ['63-57=6']
Exploring Operation: 8-4=4, Resulting Numbers: [6, 4]
Generated Node #0,1,0: 51:[6, 4] Operation: 8-4=4
Exploring Operation: 8/4=2, Resulting Numbers: [6, 2]
Generated Node #0,1,1: 51:[6, 2] Operation: 8/4=2
Exploring Operation: 8-6=2, Resulting Numbers: [4, 2]
Generated Node #0,1,2: 51:[4, 2] Operation: 8-6=2
Moving to Node #0,0
Current State: 51:[57, 4, 55], Operations: ['63-8=55']
Exploring Operation: 57-55=2, Resulting Numbers: [4, 2]
Generated Node #0,0,0: 51:[4, 2] Operation: 57-55=2
Exploring Operation: 57-4=53, Resulting Numbers: [55, 53]
Generated Node #0,0,1: 51:[55, 53] Operation: 57-4=53
Exploring Operation: 55-4=51, Resulting Numbers: [57, 51]
Generated Node #0,0,2: 51:[57, 51] Operation: 55-4=51
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 51:[4, 2], Operations: ['63-8=55', '57-55=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,51 unequal: No Solution
No 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: 51:[55, 53], Operations: ['63-8=55', '57-4=53']
Exploring Operation: 55*53=2915, Resulting Numbers: [2915]
2915,51 unequal: No Solution
Exploring Operation: 55-53=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 55+53=108, Resulting Numbers: [108]
108,51 unequal: No Solution
No 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: 51:[57, 51], Operations: ['63-8=55', '55-4=51']
Exploring Operation: 57*51=2907, Resulting Numbers: [2907]
2907,51 unequal: No Solution
Exploring Operation: 57-51=6, Resulting Numbers: [6]
6,51 unequal: No Solution
Exploring Operation: 57+51=108, Resulting Numbers: [108]
108,51 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: 51:[4, 63, 49], Operations: ['57-8=49']
Exploring Operation: 4+49=53, Resulting Numbers: [63, 53]
Generated Node #0,2,0: 51:[63, 53] Operation: 4+49=53
Exploring Operation: 63-49=14, Resulting Numbers: [4, 14]
Generated Node #0,2,1: 51:[4, 14] Operation: 63-49=14
Exploring Operation: 63-4=59, Resulting Numbers: [49, 59]
Generated Node #0,2,2: 51:[49, 59] Operation: 63-4=59
Moving to Node #0,1,2
Current State: 51:[4, 2], Operations: ['63-57=6', '8-6=2']
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,51 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[6, 2], Operations: ['63-57=6', '8/4=2']
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,51 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[6, 4], Operations: ['63-57=6', '8-4=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,51 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Moving to Node #0,2,1
Current State: 51:[4, 14], Operations: ['57-8=49', '63-49=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,51 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[49, 59], Operations: ['57-8=49', '63-4=59']
Exploring Operation: 49*59=2891, Resulting Numbers: [2891]
2891,51 unequal: No Solution
Exploring Operation: 59-49=10, Resulting Numbers: [10]
10,51 unequal: No Solution
Exploring Operation: 49+59=108, Resulting Numbers: [108]
108,51 unequal: No Solution
Moving to Node #0,2,0
Current State: 51:[63, 53], Operations: ['57-8=49', '4+49=53']
Exploring Operation: 63+53=116, Resulting Numbers: [116]
116,51 unequal: No Solution
Exploring Operation: 63*53=3339, Resulting Numbers: [3339]
3339,51 unequal: No Solution
Exploring Operation: 63-53=10, Resulting Numbers: [10]
10,51 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
93,
37,
23,
80
] | 47 | [
"93-37=56",
"23+80=103",
"103-56=47"
] | Current State: 47:[93, 37, 23, 80], Operations: []
Exploring Operation: 93-37=56, Resulting Numbers: [23, 80, 56]
Generated Node #2: [23, 80, 56] from Operation: 93-37=56
Current State: 47:[23, 80, 56], Operations: ['93-37=56']
Exploring Operation: 23+80=103, Resulting Numbers: [56, 103]
Generated Node #3: [56, 103] from Operation: 23+80=103
Current State: 47:[56, 103], Operations: ['93-37=56', '23+80=103']
Exploring Operation: 103-56=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[93, 37, 23, 80], Operations: []
Exploring Operation: 93-37=56, Resulting Numbers: [23, 80, 56]
Generated Node #0,0: 47:[23, 80, 56] Operation: 93-37=56
Moving to Node #0,0
Current State: 47:[23, 80, 56], Operations: ['93-37=56']
Exploring Operation: 80-23=57, Resulting Numbers: [56, 57]
Generated Node #0,0,0: 47:[56, 57] Operation: 80-23=57
Moving to Node #0,0,0
Current State: 47:[56, 57], Operations: ['93-37=56', '80-23=57']
Exploring Operation: 57-56=1, Resulting Numbers: [1]
1,47 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
49,
45,
64,
53
] | 37 | [
"49-45=4",
"64/4=16",
"53-16=37"
] | Current State: 37:[49, 45, 64, 53], Operations: []
Exploring Operation: 49-45=4, Resulting Numbers: [64, 53, 4]
Generated Node #2: [64, 53, 4] from Operation: 49-45=4
Current State: 37:[64, 53, 4], Operations: ['49-45=4']
Exploring Operation: 64/4=16, Resulting Numbers: [53, 16]
Generated Node #3: [53, 16] from Operation: 64/4=16
Current State: 37:[53, 16], Operations: ['49-45=4', '64/4=16']
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[49, 45, 64, 53], Operations: []
Exploring Operation: 64-49=15, Resulting Numbers: [45, 53, 15]
Generated Node #0,0: 37:[45, 53, 15] Operation: 64-49=15
Moving to Node #0,0
Current State: 37:[45, 53, 15], Operations: ['64-49=15']
Exploring Operation: 53-15=38, Resulting Numbers: [45, 38]
Generated Node #0,0,0: 37:[45, 38] Operation: 53-15=38
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[45, 38], Operations: ['64-49=15', '53-15=38']
Exploring Operation: 45-38=7, Resulting Numbers: [7]
7,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
20,
23,
23,
40
] | 51 | [
"23-20=3",
"40-23=17",
"3*17=51"
] | Current State: 51:[20, 23, 23, 40], Operations: []
Exploring Operation: 23-20=3, Resulting Numbers: [40, 3]
Generated Node #2: [40, 3] from Operation: 23-20=3
Current State: 51:[40, 3], Operations: ['23-20=3']
Exploring Operation: 40-23=17, Resulting Numbers: [3, 17]
Generated Node #3: [3, 17] from Operation: 40-23=17
Current State: 51:[3, 17], Operations: ['23-20=3', '40-23=17']
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[20, 23, 23, 40], Operations: []
Exploring Operation: 40-20=20, Resulting Numbers: [23, 23, 20]
Generated Node #0,0: 51:[23, 23, 20] Operation: 40-20=20
Exploring Operation: 40-23=17, Resulting Numbers: [20, 23, 17]
Generated Node #0,1: 51:[20, 23, 17] Operation: 40-23=17
Exploring Operation: 40-23=17, Resulting Numbers: [20, 23, 17]
Generated Node #0,2: 51:[20, 23, 17] Operation: 40-23=17
Exploring Operation: 40/20=2, Resulting Numbers: [23, 23, 2]
Generated Node #0,3: 51:[23, 23, 2] Operation: 40/20=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[20, 23, 17], Operations: ['40-23=17']
Exploring Operation: 20-17=3, Resulting Numbers: [23, 3]
Generated Node #0,1,0: 51:[23, 3] Operation: 20-17=3
Exploring Operation: 23-20=3, Resulting Numbers: [17, 3]
Generated Node #0,1,1: 51:[17, 3] Operation: 23-20=3
Exploring Operation: 20+23=43, Resulting Numbers: [17, 43]
Generated Node #0,1,2: 51:[17, 43] Operation: 20+23=43
Exploring Operation: 23-17=6, Resulting Numbers: [20, 6]
Generated Node #0,1,3: 51:[20, 6] Operation: 23-17=6
Moving to Node #0,1,1
Current State: 51:[17, 3], Operations: ['40-23=17', '23-20=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[20, 23, 23, 40], Operations: []
Exploring Operation: 40-23=17, Resulting Numbers: [20, 23, 17]
Generated Node #0,1: 51:[20, 23, 17] Operation: 40-23=17
Moving to Node #0,1
Current State: 51:[20, 23, 17], Operations: ['40-23=17']
Exploring Operation: 23-20=3, Resulting Numbers: [17, 3]
Generated Node #0,1,1: 51:[17, 3] Operation: 23-20=3
Moving to Node #0,1,1
Current State: 51:[17, 3], Operations: ['40-23=17', '23-20=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
22,
61,
74,
94
] | 19 | [
"61-22=39",
"94-74=20",
"39-20=19"
] | Current State: 19:[22, 61, 74, 94], Operations: []
Exploring Operation: 61-22=39, Resulting Numbers: [74, 94, 39]
Generated Node #2: [74, 94, 39] from Operation: 61-22=39
Current State: 19:[74, 94, 39], Operations: ['61-22=39']
Exploring Operation: 94-74=20, Resulting Numbers: [39, 20]
Generated Node #3: [39, 20] from Operation: 94-74=20
Current State: 19:[39, 20], Operations: ['61-22=39', '94-74=20']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[22, 61, 74, 94], Operations: []
Exploring Operation: 94-61=33, Resulting Numbers: [22, 74, 33]
Generated Node #0,0: 19:[22, 74, 33] Operation: 94-61=33
Exploring Operation: 94-74=20, Resulting Numbers: [22, 61, 20]
Generated Node #0,1: 19:[22, 61, 20] Operation: 94-74=20
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[22, 61, 20], Operations: ['94-74=20']
Exploring Operation: 61-20=41, Resulting Numbers: [22, 41]
Generated Node #0,1,0: 19:[22, 41] Operation: 61-20=41
Exploring Operation: 61-22=39, Resulting Numbers: [20, 39]
Generated Node #0,1,1: 19:[20, 39] Operation: 61-22=39
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 19:[20, 39], Operations: ['94-74=20', '61-22=39']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[22, 61, 74, 94], Operations: []
Exploring Operation: 94-74=20, Resulting Numbers: [22, 61, 20]
Generated Node #0,1: 19:[22, 61, 20] Operation: 94-74=20
Moving to Node #0,1
Current State: 19:[22, 61, 20], Operations: ['94-74=20']
Exploring Operation: 61-22=39, Resulting Numbers: [20, 39]
Generated Node #0,1,1: 19:[20, 39] Operation: 61-22=39
Moving to Node #0,1,1
Current State: 19:[20, 39], Operations: ['94-74=20', '61-22=39']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
37,
2,
49,
74
] | 87 | [
"74-49=25",
"2*25=50",
"37+50=87"
] | Current State: 87:[37, 2, 49, 74], Operations: []
Exploring Operation: 74-49=25, Resulting Numbers: [37, 2, 25]
Generated Node #2: [37, 2, 25] from Operation: 74-49=25
Current State: 87:[37, 2, 25], Operations: ['74-49=25']
Exploring Operation: 2*25=50, Resulting Numbers: [37, 50]
Generated Node #3: [37, 50] from Operation: 2*25=50
Current State: 87:[37, 50], Operations: ['74-49=25', '2*25=50']
Exploring Operation: 37+50=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[37, 2, 49, 74], Operations: []
Exploring Operation: 37+49=86, Resulting Numbers: [2, 74, 86]
Generated Node #0,0: 87:[2, 74, 86] Operation: 37+49=86
Exploring Operation: 74-49=25, Resulting Numbers: [37, 2, 25]
Generated Node #0,1: 87:[37, 2, 25] Operation: 74-49=25
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[37, 2, 25], Operations: ['74-49=25']
Exploring Operation: 37-25=12, Resulting Numbers: [2, 12]
Generated Node #0,1,0: 87:[2, 12] Operation: 37-25=12
Exploring Operation: 37-2=35, Resulting Numbers: [25, 35]
Generated Node #0,1,1: 87:[25, 35] Operation: 37-2=35
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 87:[2, 12], Operations: ['74-49=25', '37-25=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,87 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 87:[25, 35], Operations: ['74-49=25', '37-2=35']
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,87 unequal: No Solution
Exploring Operation: 25+35=60, Resulting Numbers: [60]
60,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[2, 74, 86], Operations: ['37+49=86']
Exploring Operation: 74/2=37, Resulting Numbers: [86, 37]
Generated Node #0,0,0: 87:[86, 37] Operation: 74/2=37
Exploring Operation: 86-74=12, Resulting Numbers: [2, 12]
Generated Node #0,0,1: 87:[2, 12] Operation: 86-74=12
Moving to Node #0,0,0
Current State: 87:[86, 37], Operations: ['37+49=86', '74/2=37']
Exploring Operation: 86-37=49, Resulting Numbers: [49]
49,87 unequal: No Solution
Exploring Operation: 86+37=123, Resulting Numbers: [123]
123,87 unequal: No Solution
Moving to Node #0,0,1
Current State: 87:[2, 12], Operations: ['37+49=86', '86-74=12']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,87 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,87 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 |
[
88,
60,
28,
35
] | 36 | [
"88-60=28",
"28/28=1",
"35+1=36"
] | Current State: 36:[88, 60, 28, 35], Operations: []
Exploring Operation: 88-60=28, Resulting Numbers: [28, 35, 28]
Generated Node #2: [28, 35, 28] from Operation: 88-60=28
Current State: 36:[28, 35, 28], Operations: ['88-60=28']
Exploring Operation: 28/28=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 28/28=1
Current State: 36:[35, 1], Operations: ['88-60=28', '28/28=1']
Exploring Operation: 35+1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[88, 60, 28, 35], Operations: []
Exploring Operation: 88-35=53, Resulting Numbers: [60, 28, 53]
Generated Node #0,0: 36:[60, 28, 53] Operation: 88-35=53
Exploring Operation: 60-28=32, Resulting Numbers: [88, 35, 32]
Generated Node #0,1: 36:[88, 35, 32] Operation: 60-28=32
Exploring Operation: 88-60=28, Resulting Numbers: [28, 35, 28]
Generated Node #0,2: 36:[28, 35, 28] Operation: 88-60=28
Exploring Operation: 88-28=60, Resulting Numbers: [60, 35, 60]
Generated Node #0,3: 36:[60, 35, 60] Operation: 88-28=60
Moving to Node #0,2
Current State: 36:[28, 35, 28], Operations: ['88-60=28']
Exploring Operation: 35-28=7, Resulting Numbers: [28, 7]
Generated Node #0,2,0: 36:[28, 7] Operation: 35-28=7
Exploring Operation: 35-28=7, Resulting Numbers: [28, 7]
Generated Node #0,2,1: 36:[28, 7] Operation: 35-28=7
Exploring Operation: 28-28=0, Resulting Numbers: [35, 0]
Generated Node #0,2,2: 36:[35, 0] Operation: 28-28=0
Exploring Operation: 28/28=1, Resulting Numbers: [35, 1]
Generated Node #0,2,3: 36:[35, 1] Operation: 28/28=1
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 36:[35, 1], Operations: ['88-60=28', '28/28=1']
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,36 unequal: No Solution
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,36 unequal: No Solution
Exploring Operation: 35+1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[88, 60, 28, 35], Operations: []
Exploring Operation: 88-60=28, Resulting Numbers: [28, 35, 28]
Generated Node #0,2: 36:[28, 35, 28] Operation: 88-60=28
Moving to Node #0,2
Current State: 36:[28, 35, 28], Operations: ['88-60=28']
Exploring Operation: 28/28=1, Resulting Numbers: [35, 1]
Generated Node #0,2,3: 36:[35, 1] Operation: 28/28=1
Moving to Node #0,2,3
Current State: 36:[35, 1], Operations: ['88-60=28', '28/28=1']
Exploring Operation: 35+1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
49,
5,
5,
2
] | 97 | [
"49*2=98",
"5/5=1",
"98-1=97"
] | Current State: 97:[49, 5, 5, 2], Operations: []
Exploring Operation: 49*2=98, Resulting Numbers: [5, 5, 98]
Generated Node #2: [5, 5, 98] from Operation: 49*2=98
Current State: 97:[5, 5, 98], Operations: ['49*2=98']
Exploring Operation: 5/5=1, Resulting Numbers: [98, 1]
Generated Node #3: [98, 1] from Operation: 5/5=1
Current State: 97:[98, 1], Operations: ['49*2=98', '5/5=1']
Exploring Operation: 98-1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[49, 5, 5, 2], Operations: []
Exploring Operation: 5*5=25, Resulting Numbers: [49, 2, 25]
Generated Node #0,0: 97:[49, 2, 25] Operation: 5*5=25
Exploring Operation: 49*2=98, Resulting Numbers: [5, 5, 98]
Generated Node #0,1: 97:[5, 5, 98] Operation: 49*2=98
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[5, 5, 98], Operations: ['49*2=98']
Exploring Operation: 5+5=10, Resulting Numbers: [98, 10]
Generated Node #0,1,0: 97:[98, 10] Operation: 5+5=10
Exploring Operation: 5*5=25, Resulting Numbers: [98, 25]
Generated Node #0,1,1: 97:[98, 25] Operation: 5*5=25
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 97:[98, 25], Operations: ['49*2=98', '5*5=25']
Exploring Operation: 98+25=123, Resulting Numbers: [123]
123,97 unequal: No Solution
Exploring Operation: 98-25=73, Resulting Numbers: [73]
73,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 97:[98, 10], Operations: ['49*2=98', '5+5=10']
Exploring Operation: 98-10=88, Resulting Numbers: [88]
88,97 unequal: No Solution
Exploring Operation: 98+10=108, Resulting Numbers: [108]
108,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[49, 2, 25], Operations: ['5*5=25']
Exploring Operation: 2*25=50, Resulting Numbers: [49, 50]
Generated Node #0,0,0: 97:[49, 50] Operation: 2*25=50
Exploring Operation: 49*2=98, Resulting Numbers: [25, 98]
Generated Node #0,0,1: 97:[25, 98] Operation: 49*2=98
Moving to Node #0,0,1
Current State: 97:[25, 98], Operations: ['5*5=25', '49*2=98']
Exploring Operation: 25+98=123, Resulting Numbers: [123]
123,97 unequal: No Solution
Exploring Operation: 98-25=73, Resulting Numbers: [73]
73,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[49, 50], Operations: ['5*5=25', '2*25=50']
Exploring Operation: 49+50=99, Resulting Numbers: [99]
99,97 unequal: No Solution
Exploring Operation: 50-49=1, Resulting Numbers: [1]
1,97 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 |
[
73,
1,
84,
7
] | 87 | [
"7-1=6",
"84/6=14",
"73+14=87"
] | Current State: 87:[73, 1, 84, 7], Operations: []
Exploring Operation: 7-1=6, Resulting Numbers: [73, 84, 6]
Generated Node #2: [73, 84, 6] from Operation: 7-1=6
Current State: 87:[73, 84, 6], Operations: ['7-1=6']
Exploring Operation: 84/6=14, Resulting Numbers: [73, 14]
Generated Node #3: [73, 14] from Operation: 84/6=14
Current State: 87:[73, 14], Operations: ['7-1=6', '84/6=14']
Exploring Operation: 73+14=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[73, 1, 84, 7], Operations: []
Exploring Operation: 84-73=11, Resulting Numbers: [1, 7, 11]
Generated Node #0,0: 87:[1, 7, 11] Operation: 84-73=11
Exploring Operation: 73+7=80, Resulting Numbers: [1, 84, 80]
Generated Node #0,1: 87:[1, 84, 80] Operation: 73+7=80
Moving to Node #0,1
Current State: 87:[1, 84, 80], Operations: ['73+7=80']
Exploring Operation: 84-80=4, Resulting Numbers: [1, 4]
Generated Node #0,1,0: 87:[1, 4] Operation: 84-80=4
Exploring Operation: 1+84=85, Resulting Numbers: [80, 85]
Generated Node #0,1,1: 87:[80, 85] Operation: 1+84=85
Moving to Node #0,0
Current State: 87:[1, 7, 11], Operations: ['84-73=11']
Exploring Operation: 7-1=6, Resulting Numbers: [11, 6]
Generated Node #0,0,0: 87:[11, 6] Operation: 7-1=6
Exploring Operation: 11-7=4, Resulting Numbers: [1, 4]
Generated Node #0,0,1: 87:[1, 4] Operation: 11-7=4
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 87:[1, 4], Operations: ['84-73=11', '11-7=4']
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Exploring Operation: 1*4=4, Resulting Numbers: [4]
4,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 87:[11, 6], Operations: ['84-73=11', '7-1=6']
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,87 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,87 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: 87:[1, 4], Operations: ['73+7=80', '84-80=4']
Exploring Operation: 1*4=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 4-1=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[80, 85], Operations: ['73+7=80', '1+84=85']
Exploring Operation: 80+85=165, Resulting Numbers: [165]
165,87 unequal: No Solution
Exploring Operation: 85-80=5, Resulting Numbers: [5]
5,87 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
2,
55,
79,
48
] | 36 | [
"79-55=24",
"24/2=12",
"48-12=36"
] | Current State: 36:[2, 55, 79, 48], Operations: []
Exploring Operation: 79-55=24, Resulting Numbers: [2, 48, 24]
Generated Node #2: [2, 48, 24] from Operation: 79-55=24
Current State: 36:[2, 48, 24], Operations: ['79-55=24']
Exploring Operation: 24/2=12, Resulting Numbers: [48, 12]
Generated Node #3: [48, 12] from Operation: 24/2=12
Current State: 36:[48, 12], Operations: ['79-55=24', '24/2=12']
Exploring Operation: 48-12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[2, 55, 79, 48], Operations: []
Exploring Operation: 79-55=24, Resulting Numbers: [2, 48, 24]
Generated Node #0,0: 36:[2, 48, 24] Operation: 79-55=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[2, 48, 24], Operations: ['79-55=24']
Exploring Operation: 48/24=2, Resulting Numbers: [2, 2]
Generated Node #0,0,0: 36:[2, 2] Operation: 48/24=2
Moving to Node #0,0,0
Current State: 36:[2, 2], Operations: ['79-55=24', '48/24=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
90,
57,
6,
77
] | 27 | [
"90*6=540",
"77-57=20",
"540/20=27"
] | Current State: 27:[90, 57, 6, 77], Operations: []
Exploring Operation: 90*6=540, Resulting Numbers: [57, 77, 540]
Generated Node #2: [57, 77, 540] from Operation: 90*6=540
Current State: 27:[57, 77, 540], Operations: ['90*6=540']
Exploring Operation: 77-57=20, Resulting Numbers: [540, 20]
Generated Node #3: [540, 20] from Operation: 77-57=20
Current State: 27:[540, 20], Operations: ['90*6=540', '77-57=20']
Exploring Operation: 540/20=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[90, 57, 6, 77], Operations: []
Exploring Operation: 90-57=33, Resulting Numbers: [6, 77, 33]
Generated Node #0,0: 27:[6, 77, 33] Operation: 90-57=33
Exploring Operation: 90-77=13, Resulting Numbers: [57, 6, 13]
Generated Node #0,1: 27:[57, 6, 13] Operation: 90-77=13
Exploring Operation: 77-57=20, Resulting Numbers: [90, 6, 20]
Generated Node #0,2: 27:[90, 6, 20] Operation: 77-57=20
Exploring Operation: 90/6=15, Resulting Numbers: [57, 77, 15]
Generated Node #0,3: 27:[57, 77, 15] Operation: 90/6=15
Exploring Operation: 90-6=84, Resulting Numbers: [57, 77, 84]
Generated Node #0,4: 27:[57, 77, 84] Operation: 90-6=84
Start Sub Search at level 1: Moving to Node #0,1
Current State: 27:[57, 6, 13], Operations: ['90-77=13']
Exploring Operation: 57-6=51, Resulting Numbers: [13, 51]
Generated Node #0,1,0: 27:[13, 51] Operation: 57-6=51
Exploring Operation: 13-6=7, Resulting Numbers: [57, 7]
Generated Node #0,1,1: 27:[57, 7] Operation: 13-6=7
Exploring Operation: 6+13=19, Resulting Numbers: [57, 19]
Generated Node #0,1,2: 27:[57, 19] Operation: 6+13=19
Exploring Operation: 57-13=44, Resulting Numbers: [6, 44]
Generated Node #0,1,3: 27:[6, 44] Operation: 57-13=44
Exploring Operation: 57+6=63, Resulting Numbers: [13, 63]
Generated Node #0,1,4: 27:[13, 63] Operation: 57+6=63
Moving to Node #0,1,3
Current State: 27:[6, 44], Operations: ['90-77=13', '57-13=44']
Exploring Operation: 6*44=264, Resulting Numbers: [264]
264,27 unequal: No Solution
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,27 unequal: No Solution
Exploring Operation: 6+44=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Moving to Node #0,1,0
Current State: 27:[13, 51], Operations: ['90-77=13', '57-6=51']
Exploring Operation: 13+51=64, Resulting Numbers: [64]
64,27 unequal: No Solution
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,27 unequal: No Solution
Exploring Operation: 13*51=663, Resulting Numbers: [663]
663,27 unequal: No Solution
Moving to Node #0,1,1
Current State: 27:[57, 7], Operations: ['90-77=13', '13-6=7']
Exploring Operation: 57*7=399, Resulting Numbers: [399]
399,27 unequal: No Solution
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 57+7=64, Resulting Numbers: [64]
64,27 unequal: No Solution
Moving to Node #0,1,2
Current State: 27:[57, 19], Operations: ['90-77=13', '6+13=19']
Exploring Operation: 57*19=1083, Resulting Numbers: [1083]
1083,27 unequal: No Solution
Exploring Operation: 57-19=38, Resulting Numbers: [38]
38,27 unequal: No Solution
Exploring Operation: 57+19=76, Resulting Numbers: [76]
76,27 unequal: No Solution
Exploring Operation: 57/19=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Moving to Node #0,1,4
Current State: 27:[13, 63], Operations: ['90-77=13', '57+6=63']
Exploring Operation: 63-13=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 13*63=819, Resulting Numbers: [819]
819,27 unequal: No Solution
Exploring Operation: 13+63=76, Resulting Numbers: [76]
76,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[6, 77, 33], Operations: ['90-57=33']
Exploring Operation: 33-6=27, Resulting Numbers: [77, 27]
Generated Node #0,0,0: 27:[77, 27] Operation: 33-6=27
Exploring Operation: 77-33=44, Resulting Numbers: [6, 44]
Generated Node #0,0,1: 27:[6, 44] Operation: 77-33=44
Exploring Operation: 77-6=71, Resulting Numbers: [33, 71]
Generated Node #0,0,2: 27:[33, 71] Operation: 77-6=71
Exploring Operation: 6+33=39, Resulting Numbers: [77, 39]
Generated Node #0,0,3: 27:[77, 39] Operation: 6+33=39
Exploring Operation: 6+77=83, Resulting Numbers: [33, 83]
Generated Node #0,0,4: 27:[33, 83] Operation: 6+77=83
Moving to Node #0,0,1
Current State: 27:[6, 44], Operations: ['90-57=33', '77-33=44']
Exploring Operation: 6+44=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,27 unequal: No Solution
Exploring Operation: 6*44=264, Resulting Numbers: [264]
264,27 unequal: No Solution
Moving to Node #0,0,2
Current State: 27:[33, 71], Operations: ['90-57=33', '77-6=71']
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,27 unequal: No Solution
Exploring Operation: 33*71=2343, Resulting Numbers: [2343]
2343,27 unequal: No Solution
Exploring Operation: 33+71=104, Resulting Numbers: [104]
104,27 unequal: No Solution
Moving to Node #0,0,0
Current State: 27:[77, 27], Operations: ['90-57=33', '33-6=27']
Exploring Operation: 77*27=2079, Resulting Numbers: [2079]
2079,27 unequal: No Solution
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 77+27=104, Resulting Numbers: [104]
104,27 unequal: No Solution
Moving to Node #0,0,3
Current State: 27:[77, 39], Operations: ['90-57=33', '6+33=39']
Exploring Operation: 77-39=38, Resulting Numbers: [38]
38,27 unequal: No Solution
Exploring Operation: 77*39=3003, Resulting Numbers: [3003]
3003,27 unequal: No Solution
Exploring Operation: 77+39=116, Resulting Numbers: [116]
116,27 unequal: No Solution
Moving to Node #0,0,4
Current State: 27:[33, 83], Operations: ['90-57=33', '6+77=83']
Exploring Operation: 33+83=116, Resulting Numbers: [116]
116,27 unequal: No Solution
Exploring Operation: 33*83=2739, Resulting Numbers: [2739]
2739,27 unequal: No Solution
Exploring Operation: 83-33=50, Resulting Numbers: [50]
50,27 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 #0,2
Current State: 27:[90, 6, 20], Operations: ['77-57=20']
Exploring Operation: 20-6=14, Resulting Numbers: [90, 14]
Generated Node #0,2,0: 27:[90, 14] Operation: 20-6=14
Exploring Operation: 6+20=26, Resulting Numbers: [90, 26]
Generated Node #0,2,1: 27:[90, 26] Operation: 6+20=26
Exploring Operation: 90-6=84, Resulting Numbers: [20, 84]
Generated Node #0,2,2: 27:[20, 84] Operation: 90-6=84
Exploring Operation: 90/6=15, Resulting Numbers: [20, 15]
Generated Node #0,2,3: 27:[20, 15] Operation: 90/6=15
Exploring Operation: 90-20=70, Resulting Numbers: [6, 70]
Generated Node #0,2,4: 27:[6, 70] Operation: 90-20=70
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 27:[20, 15], Operations: ['77-57=20', '90/6=15']
Exploring Operation: 20*15=300, Resulting Numbers: [300]
300,27 unequal: No Solution
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,27 unequal: No Solution
Exploring Operation: 20+15=35, Resulting Numbers: [35]
35,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 27:[6, 70], Operations: ['77-57=20', '90-20=70']
Exploring Operation: 6+70=76, Resulting Numbers: [76]
76,27 unequal: No Solution
Exploring Operation: 6*70=420, Resulting Numbers: [420]
420,27 unequal: No Solution
Exploring Operation: 70-6=64, Resulting Numbers: [64]
64,27 unequal: No Solution
No 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: 27:[90, 26], Operations: ['77-57=20', '6+20=26']
Exploring Operation: 90*26=2340, Resulting Numbers: [2340]
2340,27 unequal: No Solution
Exploring Operation: 90-26=64, Resulting Numbers: [64]
64,27 unequal: No Solution
Exploring Operation: 90+26=116, Resulting Numbers: [116]
116,27 unequal: No Solution
No 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: 27:[20, 84], Operations: ['77-57=20', '90-6=84']
Exploring Operation: 84-20=64, Resulting Numbers: [64]
64,27 unequal: No Solution
Exploring Operation: 20+84=104, Resulting Numbers: [104]
104,27 unequal: No Solution
Exploring Operation: 20*84=1680, Resulting Numbers: [1680]
1680,27 unequal: No Solution
No 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: 27:[90, 14], Operations: ['77-57=20', '20-6=14']
Exploring Operation: 90+14=104, Resulting Numbers: [104]
104,27 unequal: No Solution
Exploring Operation: 90*14=1260, Resulting Numbers: [1260]
1260,27 unequal: No Solution
Exploring Operation: 90-14=76, Resulting Numbers: [76]
76,27 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: 27:[57, 77, 15], Operations: ['90/6=15']
Exploring Operation: 57+15=72, Resulting Numbers: [77, 72]
Generated Node #0,3,0: 27:[77, 72] Operation: 57+15=72
Exploring Operation: 77-15=62, Resulting Numbers: [57, 62]
Generated Node #0,3,1: 27:[57, 62] Operation: 77-15=62
Exploring Operation: 57-15=42, Resulting Numbers: [77, 42]
Generated Node #0,3,2: 27:[77, 42] Operation: 57-15=42
Exploring Operation: 77-57=20, Resulting Numbers: [15, 20]
Generated Node #0,3,3: 27:[15, 20] Operation: 77-57=20
Exploring Operation: 77+15=92, Resulting Numbers: [57, 92]
Generated Node #0,3,4: 27:[57, 92] Operation: 77+15=92
Moving to Node #0,3,3
Current State: 27:[15, 20], Operations: ['90/6=15', '77-57=20']
Exploring Operation: 15*20=300, Resulting Numbers: [300]
300,27 unequal: No Solution
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,27 unequal: No Solution
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,27 unequal: No Solution
Moving to Node #0,3,2
Current State: 27:[77, 42], Operations: ['90/6=15', '57-15=42']
Exploring Operation: 77+42=119, Resulting Numbers: [119]
119,27 unequal: No Solution
Exploring Operation: 77-42=35, Resulting Numbers: [35]
35,27 unequal: No Solution
Exploring Operation: 77*42=3234, Resulting Numbers: [3234]
3234,27 unequal: No Solution
Moving to Node #0,3,1
Current State: 27:[57, 62], Operations: ['90/6=15', '77-15=62']
Exploring Operation: 62-57=5, Resulting Numbers: [5]
5,27 unequal: No Solution
Exploring Operation: 57+62=119, Resulting Numbers: [119]
119,27 unequal: No Solution
Exploring Operation: 57*62=3534, Resulting Numbers: [3534]
3534,27 unequal: No Solution
Moving to Node #0,3,0
Current State: 27:[77, 72], Operations: ['90/6=15', '57+15=72']
Exploring Operation: 77+72=149, Resulting Numbers: [149]
149,27 unequal: No Solution
Exploring Operation: 77-72=5, Resulting Numbers: [5]
5,27 unequal: No Solution
Exploring Operation: 77*72=5544, Resulting Numbers: [5544]
5544,27 unequal: No Solution
Moving to Node #0,3,4
Current State: 27:[57, 92], Operations: ['90/6=15', '77+15=92']
Exploring Operation: 57*92=5244, Resulting Numbers: [5244]
5244,27 unequal: No Solution
Exploring Operation: 57+92=149, Resulting Numbers: [149]
149,27 unequal: No Solution
Exploring Operation: 92-57=35, Resulting Numbers: [35]
35,27 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 #0,4
Current State: 27:[57, 77, 84], Operations: ['90-6=84']
Exploring Operation: 57+84=141, Resulting Numbers: [77, 141]
Generated Node #0,4,0: 27:[77, 141] Operation: 57+84=141
Exploring Operation: 57+77=134, Resulting Numbers: [84, 134]
Generated Node #0,4,1: 27:[84, 134] Operation: 57+77=134
Exploring Operation: 77-57=20, Resulting Numbers: [84, 20]
Generated Node #0,4,2: 27:[84, 20] Operation: 77-57=20
Exploring Operation: 84-77=7, Resulting Numbers: [57, 7]
Generated Node #0,4,3: 27:[57, 7] Operation: 84-77=7
Exploring Operation: 84-57=27, Resulting Numbers: [77, 27]
Generated Node #0,4,4: 27:[77, 27] Operation: 84-57=27
Moving to Node #0,4,3
Current State: 27:[57, 7], Operations: ['90-6=84', '84-77=7']
Exploring Operation: 57+7=64, Resulting Numbers: [64]
64,27 unequal: No Solution
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 57*7=399, Resulting Numbers: [399]
399,27 unequal: No Solution
Moving to Node #0,4,4
Current State: 27:[77, 27], Operations: ['90-6=84', '84-57=27']
Exploring Operation: 77-27=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 77+27=104, Resulting Numbers: [104]
104,27 unequal: No Solution
Exploring Operation: 77*27=2079, Resulting Numbers: [2079]
2079,27 unequal: No Solution
Moving to Node #0,4,2
Current State: 27:[84, 20], Operations: ['90-6=84', '77-57=20']
Exploring Operation: 84+20=104, Resulting Numbers: [104]
104,27 unequal: No Solution
Exploring Operation: 84-20=64, Resulting Numbers: [64]
64,27 unequal: No Solution
Exploring Operation: 84*20=1680, Resulting Numbers: [1680]
1680,27 unequal: No Solution
Moving to Node #0,4,0
Current State: 27:[77, 141], Operations: ['90-6=84', '57+84=141']
Exploring Operation: 77*141=10857, Resulting Numbers: [10857]
10857,27 unequal: No Solution
Exploring Operation: 141-77=64, Resulting Numbers: [64]
64,27 unequal: No Solution
Exploring Operation: 77+141=218, Resulting Numbers: [218]
218,27 unequal: No Solution
Moving to Node #0,4,1
Current State: 27:[84, 134], Operations: ['90-6=84', '57+77=134']
Exploring Operation: 134-84=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 84+134=218, Resulting Numbers: [218]
218,27 unequal: No Solution
Exploring Operation: 84*134=11256, Resulting Numbers: [11256]
11256,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
5,
90,
22,
98
] | 35 | [
"90-5=85",
"22+98=120",
"120-85=35"
] | Current State: 35:[5, 90, 22, 98], Operations: []
Exploring Operation: 90-5=85, Resulting Numbers: [22, 98, 85]
Generated Node #2: [22, 98, 85] from Operation: 90-5=85
Current State: 35:[22, 98, 85], Operations: ['90-5=85']
Exploring Operation: 22+98=120, Resulting Numbers: [85, 120]
Generated Node #3: [85, 120] from Operation: 22+98=120
Current State: 35:[85, 120], Operations: ['90-5=85', '22+98=120']
Exploring Operation: 120-85=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[5, 90, 22, 98], Operations: []
Exploring Operation: 90-22=68, Resulting Numbers: [5, 98, 68]
Generated Node #0,0: 35:[5, 98, 68] Operation: 90-22=68
Exploring Operation: 98-90=8, Resulting Numbers: [5, 22, 8]
Generated Node #0,1: 35:[5, 22, 8] Operation: 98-90=8
Exploring Operation: 90/5=18, Resulting Numbers: [22, 98, 18]
Generated Node #0,2: 35:[22, 98, 18] Operation: 90/5=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[5, 22, 8], Operations: ['98-90=8']
Exploring Operation: 5+22=27, Resulting Numbers: [8, 27]
Generated Node #0,1,0: 35:[8, 27] Operation: 5+22=27
Exploring Operation: 22-8=14, Resulting Numbers: [5, 14]
Generated Node #0,1,1: 35:[5, 14] Operation: 22-8=14
Exploring Operation: 22+8=30, Resulting Numbers: [5, 30]
Generated Node #0,1,2: 35:[5, 30] Operation: 22+8=30
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 35:[5, 30], Operations: ['98-90=8', '22+8=30']
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,35 unequal: No Solution
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[5, 90, 22, 98], Operations: []
Exploring Operation: 98-90=8, Resulting Numbers: [5, 22, 8]
Generated Node #0,1: 35:[5, 22, 8] Operation: 98-90=8
Moving to Node #0,1
Current State: 35:[5, 22, 8], Operations: ['98-90=8']
Exploring Operation: 22+8=30, Resulting Numbers: [5, 30]
Generated Node #0,1,2: 35:[5, 30] Operation: 22+8=30
Moving to Node #0,1,2
Current State: 35:[5, 30], Operations: ['98-90=8', '22+8=30']
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
68,
64,
54,
6
] | 72 | [
"68+64=132",
"54+6=60",
"132-60=72"
] | Current State: 72:[68, 64, 54, 6], Operations: []
Exploring Operation: 68+64=132, Resulting Numbers: [54, 6, 132]
Generated Node #2: [54, 6, 132] from Operation: 68+64=132
Current State: 72:[54, 6, 132], Operations: ['68+64=132']
Exploring Operation: 54+6=60, Resulting Numbers: [132, 60]
Generated Node #3: [132, 60] from Operation: 54+6=60
Current State: 72:[132, 60], Operations: ['68+64=132', '54+6=60']
Exploring Operation: 132-60=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[68, 64, 54, 6], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [54, 6, 4]
Generated Node #0,0: 72:[54, 6, 4] Operation: 68-64=4
Exploring Operation: 64-54=10, Resulting Numbers: [68, 6, 10]
Generated Node #0,1: 72:[68, 6, 10] Operation: 64-54=10
Exploring Operation: 54/6=9, Resulting Numbers: [68, 64, 9]
Generated Node #0,2: 72:[68, 64, 9] Operation: 54/6=9
Exploring Operation: 68-54=14, Resulting Numbers: [64, 6, 14]
Generated Node #0,3: 72:[64, 6, 14] Operation: 68-54=14
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[68, 6, 10], Operations: ['64-54=10']
Exploring Operation: 68+6=74, Resulting Numbers: [10, 74]
Generated Node #0,1,0: 72:[10, 74] Operation: 68+6=74
Exploring Operation: 68+10=78, Resulting Numbers: [6, 78]
Generated Node #0,1,1: 72:[6, 78] Operation: 68+10=78
Exploring Operation: 6+10=16, Resulting Numbers: [68, 16]
Generated Node #0,1,2: 72:[68, 16] Operation: 6+10=16
Exploring Operation: 10-6=4, Resulting Numbers: [68, 4]
Generated Node #0,1,3: 72:[68, 4] Operation: 10-6=4
Moving to Node #0,1,0
Current State: 72:[10, 74], Operations: ['64-54=10', '68+6=74']
Exploring Operation: 10+74=84, Resulting Numbers: [84]
84,72 unequal: No Solution
Exploring Operation: 74-10=64, Resulting Numbers: [64]
64,72 unequal: No Solution
Exploring Operation: 10*74=740, Resulting Numbers: [740]
740,72 unequal: No Solution
Moving to Node #0,1,3
Current State: 72:[68, 4], Operations: ['64-54=10', '10-6=4']
Exploring Operation: 68-4=64, Resulting Numbers: [64]
64,72 unequal: No Solution
Exploring Operation: 68/4=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 68+4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[68, 64, 54, 6], Operations: []
Exploring Operation: 64-54=10, Resulting Numbers: [68, 6, 10]
Generated Node #0,1: 72:[68, 6, 10] Operation: 64-54=10
Moving to Node #0,1
Current State: 72:[68, 6, 10], Operations: ['64-54=10']
Exploring Operation: 10-6=4, Resulting Numbers: [68, 4]
Generated Node #0,1,3: 72:[68, 4] Operation: 10-6=4
Moving to Node #0,1,3
Current State: 72:[68, 4], Operations: ['64-54=10', '10-6=4']
Exploring Operation: 68+4=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
18,
91,
67,
15
] | 57 | [
"18+91=109",
"67-15=52",
"109-52=57"
] | Current State: 57:[18, 91, 67, 15], Operations: []
Exploring Operation: 18+91=109, Resulting Numbers: [67, 15, 109]
Generated Node #2: [67, 15, 109] from Operation: 18+91=109
Current State: 57:[67, 15, 109], Operations: ['18+91=109']
Exploring Operation: 67-15=52, Resulting Numbers: [109, 52]
Generated Node #3: [109, 52] from Operation: 67-15=52
Current State: 57:[109, 52], Operations: ['18+91=109', '67-15=52']
Exploring Operation: 109-52=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[18, 91, 67, 15], Operations: []
Exploring Operation: 91-15=76, Resulting Numbers: [18, 67, 76]
Generated Node #0,0: 57:[18, 67, 76] Operation: 91-15=76
Exploring Operation: 91-18=73, Resulting Numbers: [67, 15, 73]
Generated Node #0,1: 57:[67, 15, 73] Operation: 91-18=73
Exploring Operation: 91-67=24, Resulting Numbers: [18, 15, 24]
Generated Node #0,2: 57:[18, 15, 24] Operation: 91-67=24
Start Sub Search at level 1: Moving to Node #0,2
Current State: 57:[18, 15, 24], Operations: ['91-67=24']
Exploring Operation: 24-18=6, Resulting Numbers: [15, 6]
Generated Node #0,2,0: 57:[15, 6] Operation: 24-18=6
Exploring Operation: 18-15=3, Resulting Numbers: [24, 3]
Generated Node #0,2,1: 57:[24, 3] Operation: 18-15=3
Exploring Operation: 24-15=9, Resulting Numbers: [18, 9]
Generated Node #0,2,2: 57:[18, 9] Operation: 24-15=9
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 57:[24, 3], Operations: ['91-67=24', '18-15=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,57 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,57 unequal: No Solution
No 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: 57:[15, 6], Operations: ['91-67=24', '24-18=6']
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,57 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,57 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,57 unequal: No Solution
No 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: 57:[18, 9], Operations: ['91-67=24', '24-15=9']
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,57 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,57 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: 57:[18, 67, 76], Operations: ['91-15=76']
Exploring Operation: 76-67=9, Resulting Numbers: [18, 9]
Generated Node #0,0,0: 57:[18, 9] Operation: 76-67=9
Exploring Operation: 76-18=58, Resulting Numbers: [67, 58]
Generated Node #0,0,1: 57:[67, 58] Operation: 76-18=58
Exploring Operation: 67-18=49, Resulting Numbers: [76, 49]
Generated Node #0,0,2: 57:[76, 49] Operation: 67-18=49
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 57:[18, 9], Operations: ['91-15=76', '76-67=9']
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,57 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,57 unequal: No Solution
No 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: 57:[67, 58], Operations: ['91-15=76', '76-18=58']
Exploring Operation: 67*58=3886, Resulting Numbers: [3886]
3886,57 unequal: No Solution
Exploring Operation: 67+58=125, Resulting Numbers: [125]
125,57 unequal: No Solution
Exploring Operation: 67-58=9, Resulting Numbers: [9]
9,57 unequal: No Solution
No 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: 57:[76, 49], Operations: ['91-15=76', '67-18=49']
Exploring Operation: 76+49=125, Resulting Numbers: [125]
125,57 unequal: No Solution
Exploring Operation: 76-49=27, Resulting Numbers: [27]
27,57 unequal: No Solution
Exploring Operation: 76*49=3724, Resulting Numbers: [3724]
3724,57 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: 57:[67, 15, 73], Operations: ['91-18=73']
Exploring Operation: 73-15=58, Resulting Numbers: [67, 58]
Generated Node #0,1,0: 57:[67, 58] Operation: 73-15=58
Exploring Operation: 73-67=6, Resulting Numbers: [15, 6]
Generated Node #0,1,1: 57:[15, 6] Operation: 73-67=6
Exploring Operation: 67-15=52, Resulting Numbers: [73, 52]
Generated Node #0,1,2: 57:[73, 52] Operation: 67-15=52
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 57:[15, 6], Operations: ['91-18=73', '73-67=6']
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,57 unequal: No Solution
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,57 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,57 unequal: No Solution
No 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: 57:[67, 58], Operations: ['91-18=73', '73-15=58']
Exploring Operation: 67-58=9, Resulting Numbers: [9]
9,57 unequal: No Solution
Exploring Operation: 67*58=3886, Resulting Numbers: [3886]
3886,57 unequal: No Solution
Exploring Operation: 67+58=125, Resulting Numbers: [125]
125,57 unequal: No Solution
No 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: 57:[73, 52], Operations: ['91-18=73', '67-15=52']
Exploring Operation: 73+52=125, Resulting Numbers: [125]
125,57 unequal: No Solution
Exploring Operation: 73-52=21, Resulting Numbers: [21]
21,57 unequal: No Solution
Exploring Operation: 73*52=3796, Resulting Numbers: [3796]
3796,57 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 |
[
60,
46,
45,
95
] | 64 | [
"60-46=14",
"95-45=50",
"14+50=64"
] | Current State: 64:[60, 46, 45, 95], Operations: []
Exploring Operation: 60-46=14, Resulting Numbers: [45, 95, 14]
Generated Node #2: [45, 95, 14] from Operation: 60-46=14
Current State: 64:[45, 95, 14], Operations: ['60-46=14']
Exploring Operation: 95-45=50, Resulting Numbers: [14, 50]
Generated Node #3: [14, 50] from Operation: 95-45=50
Current State: 64:[14, 50], Operations: ['60-46=14', '95-45=50']
Exploring Operation: 14+50=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[60, 46, 45, 95], Operations: []
Exploring Operation: 95-46=49, Resulting Numbers: [60, 45, 49]
Generated Node #0,0: 64:[60, 45, 49] Operation: 95-46=49
Exploring Operation: 95-60=35, Resulting Numbers: [46, 45, 35]
Generated Node #0,1: 64:[46, 45, 35] Operation: 95-60=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[46, 45, 35], Operations: ['95-60=35']
Exploring Operation: 46-45=1, Resulting Numbers: [35, 1]
Generated Node #0,1,0: 64:[35, 1] Operation: 46-45=1
Exploring Operation: 46-35=11, Resulting Numbers: [45, 11]
Generated Node #0,1,1: 64:[45, 11] Operation: 46-35=11
Moving to Node #0,1,0
Current State: 64:[35, 1], Operations: ['95-60=35', '46-45=1']
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,64 unequal: No Solution
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[45, 11], Operations: ['95-60=35', '46-35=11']
Exploring Operation: 45+11=56, Resulting Numbers: [56]
56,64 unequal: No Solution
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,64 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
Current State: 64:[60, 45, 49], Operations: ['95-46=49']
Exploring Operation: 60-45=15, Resulting Numbers: [49, 15]
Generated Node #0,0,0: 64:[49, 15] Operation: 60-45=15
Exploring Operation: 49-45=4, Resulting Numbers: [60, 4]
Generated Node #0,0,1: 64:[60, 4] Operation: 49-45=4
Moving to Node #0,0,1
Current State: 64:[60, 4], Operations: ['95-46=49', '49-45=4']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,64 unequal: No Solution
Exploring Operation: 60+4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[60, 46, 45, 95], Operations: []
Exploring Operation: 95-46=49, Resulting Numbers: [60, 45, 49]
Generated Node #0,0: 64:[60, 45, 49] Operation: 95-46=49
Moving to Node #0,0
Current State: 64:[60, 45, 49], Operations: ['95-46=49']
Exploring Operation: 49-45=4, Resulting Numbers: [60, 4]
Generated Node #0,0,1: 64:[60, 4] Operation: 49-45=4
Moving to Node #0,0,1
Current State: 64:[60, 4], Operations: ['95-46=49', '49-45=4']
Exploring Operation: 60+4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
28,
8,
11,
97
] | 88 | [
"28-8=20",
"11+97=108",
"108-20=88"
] | Current State: 88:[28, 8, 11, 97], Operations: []
Exploring Operation: 28-8=20, Resulting Numbers: [11, 97, 20]
Generated Node #2: [11, 97, 20] from Operation: 28-8=20
Current State: 88:[11, 97, 20], Operations: ['28-8=20']
Exploring Operation: 11+97=108, Resulting Numbers: [20, 108]
Generated Node #3: [20, 108] from Operation: 11+97=108
Current State: 88:[20, 108], Operations: ['28-8=20', '11+97=108']
Exploring Operation: 108-20=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[28, 8, 11, 97], Operations: []
Exploring Operation: 97-8=89, Resulting Numbers: [28, 11, 89]
Generated Node #0,0: 88:[28, 11, 89] Operation: 97-8=89
Exploring Operation: 97-11=86, Resulting Numbers: [28, 8, 86]
Generated Node #0,1: 88:[28, 8, 86] Operation: 97-11=86
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[28, 11, 89], Operations: ['97-8=89']
Exploring Operation: 28+11=39, Resulting Numbers: [89, 39]
Generated Node #0,0,0: 88:[89, 39] Operation: 28+11=39
Exploring Operation: 28-11=17, Resulting Numbers: [89, 17]
Generated Node #0,0,1: 88:[89, 17] Operation: 28-11=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[89, 39], Operations: ['97-8=89', '28+11=39']
Exploring Operation: 89-39=50, Resulting Numbers: [50]
50,88 unequal: No Solution
Exploring Operation: 89+39=128, Resulting Numbers: [128]
128,88 unequal: No Solution
No 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: 88:[89, 17], Operations: ['97-8=89', '28-11=17']
Exploring Operation: 89+17=106, Resulting Numbers: [106]
106,88 unequal: No Solution
Exploring Operation: 89-17=72, Resulting Numbers: [72]
72,88 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: 88:[28, 8, 86], Operations: ['97-11=86']
Exploring Operation: 28+8=36, Resulting Numbers: [86, 36]
Generated Node #0,1,0: 88:[86, 36] Operation: 28+8=36
Exploring Operation: 28-8=20, Resulting Numbers: [86, 20]
Generated Node #0,1,1: 88:[86, 20] Operation: 28-8=20
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 88:[86, 20], Operations: ['97-11=86', '28-8=20']
Exploring Operation: 86+20=106, Resulting Numbers: [106]
106,88 unequal: No Solution
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,88 unequal: No Solution
No 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: 88:[86, 36], Operations: ['97-11=86', '28+8=36']
Exploring Operation: 86-36=50, Resulting Numbers: [50]
50,88 unequal: No Solution
Exploring Operation: 86+36=122, Resulting Numbers: [122]
122,88 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 |
[
49,
30,
96,
56
] | 73 | [
"49+30=79",
"96+56=152",
"152-79=73"
] | Current State: 73:[49, 30, 96, 56], Operations: []
Exploring Operation: 49+30=79, Resulting Numbers: [96, 56, 79]
Generated Node #2: [96, 56, 79] from Operation: 49+30=79
Current State: 73:[96, 56, 79], Operations: ['49+30=79']
Exploring Operation: 96+56=152, Resulting Numbers: [79, 152]
Generated Node #3: [79, 152] from Operation: 96+56=152
Current State: 73:[79, 152], Operations: ['49+30=79', '96+56=152']
Exploring Operation: 152-79=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[49, 30, 96, 56], Operations: []
Exploring Operation: 96-30=66, Resulting Numbers: [49, 56, 66]
Generated Node #0,0: 73:[49, 56, 66] Operation: 96-30=66
Exploring Operation: 49+30=79, Resulting Numbers: [96, 56, 79]
Generated Node #0,1: 73:[96, 56, 79] Operation: 49+30=79
Exploring Operation: 49-30=19, Resulting Numbers: [96, 56, 19]
Generated Node #0,2: 73:[96, 56, 19] Operation: 49-30=19
Exploring Operation: 30+56=86, Resulting Numbers: [49, 96, 86]
Generated Node #0,3: 73:[49, 96, 86] Operation: 30+56=86
Exploring Operation: 96-49=47, Resulting Numbers: [30, 56, 47]
Generated Node #0,4: 73:[30, 56, 47] Operation: 96-49=47
Moving to Node #0,1
Current State: 73:[96, 56, 79], Operations: ['49+30=79']
Exploring Operation: 79-56=23, Resulting Numbers: [96, 23]
Generated Node #0,1,0: 73:[96, 23] Operation: 79-56=23
Exploring Operation: 96-56=40, Resulting Numbers: [79, 40]
Generated Node #0,1,1: 73:[79, 40] Operation: 96-56=40
Exploring Operation: 96-79=17, Resulting Numbers: [56, 17]
Generated Node #0,1,2: 73:[56, 17] Operation: 96-79=17
Exploring Operation: 96+56=152, Resulting Numbers: [79, 152]
Generated Node #0,1,3: 73:[79, 152] Operation: 96+56=152
Exploring Operation: 56+79=135, Resulting Numbers: [96, 135]
Generated Node #0,1,4: 73:[96, 135] Operation: 56+79=135
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[79, 40], Operations: ['49+30=79', '96-56=40']
Exploring Operation: 79+40=119, Resulting Numbers: [119]
119,73 unequal: No Solution
Exploring Operation: 79-40=39, Resulting Numbers: [39]
39,73 unequal: No Solution
Exploring Operation: 79*40=3160, Resulting Numbers: [3160]
3160,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[96, 23], Operations: ['49+30=79', '79-56=23']
Exploring Operation: 96-23=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[49, 30, 96, 56], Operations: []
Exploring Operation: 49+30=79, Resulting Numbers: [96, 56, 79]
Generated Node #0,1: 73:[96, 56, 79] Operation: 49+30=79
Moving to Node #0,1
Current State: 73:[96, 56, 79], Operations: ['49+30=79']
Exploring Operation: 79-56=23, Resulting Numbers: [96, 23]
Generated Node #0,1,0: 73:[96, 23] Operation: 79-56=23
Moving to Node #0,1,0
Current State: 73:[96, 23], Operations: ['49+30=79', '79-56=23']
Exploring Operation: 96-23=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
32,
97,
23,
11
] | 92 | [
"32+23=55",
"55/11=5",
"97-5=92"
] | Current State: 92:[32, 97, 23, 11], Operations: []
Exploring Operation: 32+23=55, Resulting Numbers: [97, 11, 55]
Generated Node #2: [97, 11, 55] from Operation: 32+23=55
Current State: 92:[97, 11, 55], Operations: ['32+23=55']
Exploring Operation: 55/11=5, Resulting Numbers: [97, 5]
Generated Node #3: [97, 5] from Operation: 55/11=5
Current State: 92:[97, 5], Operations: ['32+23=55', '55/11=5']
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[32, 97, 23, 11], Operations: []
Exploring Operation: 97-11=86, Resulting Numbers: [32, 23, 86]
Generated Node #0,0: 92:[32, 23, 86] Operation: 97-11=86
Exploring Operation: 32+23=55, Resulting Numbers: [97, 11, 55]
Generated Node #0,1: 92:[97, 11, 55] Operation: 32+23=55
Exploring Operation: 32+11=43, Resulting Numbers: [97, 23, 43]
Generated Node #0,2: 92:[97, 23, 43] Operation: 32+11=43
Exploring Operation: 32-23=9, Resulting Numbers: [97, 11, 9]
Generated Node #0,3: 92:[97, 11, 9] Operation: 32-23=9
Exploring Operation: 32-11=21, Resulting Numbers: [97, 23, 21]
Generated Node #0,4: 92:[97, 23, 21] Operation: 32-11=21
Start Sub Search at level 1: Moving to Node #0,4
Current State: 92:[97, 23, 21], Operations: ['32-11=21']
Exploring Operation: 97-21=76, Resulting Numbers: [23, 76]
Generated Node #0,4,0: 92:[23, 76] Operation: 97-21=76
Exploring Operation: 97+21=118, Resulting Numbers: [23, 118]
Generated Node #0,4,1: 92:[23, 118] Operation: 97+21=118
Exploring Operation: 23-21=2, Resulting Numbers: [97, 2]
Generated Node #0,4,2: 92:[97, 2] Operation: 23-21=2
Exploring Operation: 23+21=44, Resulting Numbers: [97, 44]
Generated Node #0,4,3: 92:[97, 44] Operation: 23+21=44
Exploring Operation: 97-23=74, Resulting Numbers: [21, 74]
Generated Node #0,4,4: 92:[21, 74] Operation: 97-23=74
Moving to Node #0,4,2
Current State: 92:[97, 2], Operations: ['32-11=21', '23-21=2']
Exploring Operation: 97*2=194, Resulting Numbers: [194]
194,92 unequal: No Solution
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,92 unequal: No Solution
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,92 unequal: No Solution
Moving to Node #0,4,3
Current State: 92:[97, 44], Operations: ['32-11=21', '23+21=44']
Exploring Operation: 97*44=4268, Resulting Numbers: [4268]
4268,92 unequal: No Solution
Exploring Operation: 97+44=141, Resulting Numbers: [141]
141,92 unequal: No Solution
Exploring Operation: 97-44=53, Resulting Numbers: [53]
53,92 unequal: No Solution
Moving to Node #0,4,0
Current State: 92:[23, 76], Operations: ['32-11=21', '97-21=76']
Exploring Operation: 23*76=1748, Resulting Numbers: [1748]
1748,92 unequal: No Solution
Exploring Operation: 23+76=99, Resulting Numbers: [99]
99,92 unequal: No Solution
Exploring Operation: 76-23=53, Resulting Numbers: [53]
53,92 unequal: No Solution
Moving to Node #0,4,4
Current State: 92:[21, 74], Operations: ['32-11=21', '97-23=74']
Exploring Operation: 21*74=1554, Resulting Numbers: [1554]
1554,92 unequal: No Solution
Exploring Operation: 21+74=95, Resulting Numbers: [95]
95,92 unequal: No Solution
Exploring Operation: 74-21=53, Resulting Numbers: [53]
53,92 unequal: No Solution
Moving to Node #0,4,1
Current State: 92:[23, 118], Operations: ['32-11=21', '97+21=118']
Exploring Operation: 23+118=141, Resulting Numbers: [141]
141,92 unequal: No Solution
Exploring Operation: 118-23=95, Resulting Numbers: [95]
95,92 unequal: No Solution
Exploring Operation: 23*118=2714, Resulting Numbers: [2714]
2714,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[97, 23, 43], Operations: ['32+11=43']
Exploring Operation: 43-23=20, Resulting Numbers: [97, 20]
Generated Node #0,2,0: 92:[97, 20] Operation: 43-23=20
Exploring Operation: 97-43=54, Resulting Numbers: [23, 54]
Generated Node #0,2,1: 92:[23, 54] Operation: 97-43=54
Exploring Operation: 97-23=74, Resulting Numbers: [43, 74]
Generated Node #0,2,2: 92:[43, 74] Operation: 97-23=74
Exploring Operation: 23+43=66, Resulting Numbers: [97, 66]
Generated Node #0,2,3: 92:[97, 66] Operation: 23+43=66
Exploring Operation: 97+23=120, Resulting Numbers: [43, 120]
Generated Node #0,2,4: 92:[43, 120] Operation: 97+23=120
Moving to Node #0,2,0
Current State: 92:[97, 20], Operations: ['32+11=43', '43-23=20']
Exploring Operation: 97-20=77, Resulting Numbers: [77]
77,92 unequal: No Solution
Exploring Operation: 97*20=1940, Resulting Numbers: [1940]
1940,92 unequal: No Solution
Exploring Operation: 97+20=117, Resulting Numbers: [117]
117,92 unequal: No Solution
Moving to Node #0,2,1
Current State: 92:[23, 54], Operations: ['32+11=43', '97-43=54']
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,92 unequal: No Solution
Exploring Operation: 23*54=1242, Resulting Numbers: [1242]
1242,92 unequal: No Solution
Exploring Operation: 23+54=77, Resulting Numbers: [77]
77,92 unequal: No Solution
Moving to Node #0,2,2
Current State: 92:[43, 74], Operations: ['32+11=43', '97-23=74']
Exploring Operation: 74-43=31, Resulting Numbers: [31]
31,92 unequal: No Solution
Exploring Operation: 43+74=117, Resulting Numbers: [117]
117,92 unequal: No Solution
Exploring Operation: 43*74=3182, Resulting Numbers: [3182]
3182,92 unequal: No Solution
Moving to Node #0,2,3
Current State: 92:[97, 66], Operations: ['32+11=43', '23+43=66']
Exploring Operation: 97*66=6402, Resulting Numbers: [6402]
6402,92 unequal: No Solution
Exploring Operation: 97-66=31, Resulting Numbers: [31]
31,92 unequal: No Solution
Exploring Operation: 97+66=163, Resulting Numbers: [163]
163,92 unequal: No Solution
Moving to Node #0,2,4
Current State: 92:[43, 120], Operations: ['32+11=43', '97+23=120']
Exploring Operation: 43+120=163, Resulting Numbers: [163]
163,92 unequal: No Solution
Exploring Operation: 43*120=5160, Resulting Numbers: [5160]
5160,92 unequal: No Solution
Exploring Operation: 120-43=77, Resulting Numbers: [77]
77,92 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:[32, 23, 86], Operations: ['97-11=86']
Exploring Operation: 32-23=9, Resulting Numbers: [86, 9]
Generated Node #0,0,0: 92:[86, 9] Operation: 32-23=9
Exploring Operation: 32+86=118, Resulting Numbers: [23, 118]
Generated Node #0,0,1: 92:[23, 118] Operation: 32+86=118
Exploring Operation: 86-32=54, Resulting Numbers: [23, 54]
Generated Node #0,0,2: 92:[23, 54] Operation: 86-32=54
Exploring Operation: 32+23=55, Resulting Numbers: [86, 55]
Generated Node #0,0,3: 92:[86, 55] Operation: 32+23=55
Exploring Operation: 23+86=109, Resulting Numbers: [32, 109]
Generated Node #0,0,4: 92:[32, 109] Operation: 23+86=109
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 92:[23, 54], Operations: ['97-11=86', '86-32=54']
Exploring Operation: 23+54=77, Resulting Numbers: [77]
77,92 unequal: No Solution
Exploring Operation: 54-23=31, Resulting Numbers: [31]
31,92 unequal: No Solution
Exploring Operation: 23*54=1242, Resulting Numbers: [1242]
1242,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[86, 9], Operations: ['97-11=86', '32-23=9']
Exploring Operation: 86*9=774, Resulting Numbers: [774]
774,92 unequal: No Solution
Exploring Operation: 86-9=77, Resulting Numbers: [77]
77,92 unequal: No Solution
Exploring Operation: 86+9=95, Resulting Numbers: [95]
95,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 92:[86, 55], Operations: ['97-11=86', '32+23=55']
Exploring Operation: 86+55=141, Resulting Numbers: [141]
141,92 unequal: No Solution
Exploring Operation: 86-55=31, Resulting Numbers: [31]
31,92 unequal: No Solution
Exploring Operation: 86*55=4730, Resulting Numbers: [4730]
4730,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 92:[23, 118], Operations: ['97-11=86', '32+86=118']
Exploring Operation: 118-23=95, Resulting Numbers: [95]
95,92 unequal: No Solution
Exploring Operation: 23+118=141, Resulting Numbers: [141]
141,92 unequal: No Solution
Exploring Operation: 23*118=2714, Resulting Numbers: [2714]
2714,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 92:[32, 109], Operations: ['97-11=86', '23+86=109']
Exploring Operation: 32*109=3488, Resulting Numbers: [3488]
3488,92 unequal: No Solution
Exploring Operation: 109-32=77, Resulting Numbers: [77]
77,92 unequal: No Solution
Exploring Operation: 32+109=141, Resulting Numbers: [141]
141,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 92:[97, 11, 9], Operations: ['32-23=9']
Exploring Operation: 11+9=20, Resulting Numbers: [97, 20]
Generated Node #0,3,0: 92:[97, 20] Operation: 11+9=20
Exploring Operation: 11-9=2, Resulting Numbers: [97, 2]
Generated Node #0,3,1: 92:[97, 2] Operation: 11-9=2
Exploring Operation: 97-9=88, Resulting Numbers: [11, 88]
Generated Node #0,3,2: 92:[11, 88] Operation: 97-9=88
Exploring Operation: 11*9=99, Resulting Numbers: [97, 99]
Generated Node #0,3,3: 92:[97, 99] Operation: 11*9=99
Exploring Operation: 97-11=86, Resulting Numbers: [9, 86]
Generated Node #0,3,4: 92:[9, 86] Operation: 97-11=86
Moving to Node #0,3,1
Current State: 92:[97, 2], Operations: ['32-23=9', '11-9=2']
Exploring Operation: 97+2=99, Resulting Numbers: [99]
99,92 unequal: No Solution
Exploring Operation: 97*2=194, Resulting Numbers: [194]
194,92 unequal: No Solution
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,92 unequal: No Solution
Moving to Node #0,3,0
Current State: 92:[97, 20], Operations: ['32-23=9', '11+9=20']
Exploring Operation: 97*20=1940, Resulting Numbers: [1940]
1940,92 unequal: No Solution
Exploring Operation: 97-20=77, Resulting Numbers: [77]
77,92 unequal: No Solution
Exploring Operation: 97+20=117, Resulting Numbers: [117]
117,92 unequal: No Solution
Moving to Node #0,3,2
Current State: 92:[11, 88], Operations: ['32-23=9', '97-9=88']
Exploring Operation: 11+88=99, Resulting Numbers: [99]
99,92 unequal: No Solution
Exploring Operation: 88-11=77, Resulting Numbers: [77]
77,92 unequal: No Solution
Exploring Operation: 88/11=8, Resulting Numbers: [8]
8,92 unequal: No Solution
Exploring Operation: 11*88=968, Resulting Numbers: [968]
968,92 unequal: No Solution
Moving to Node #0,3,4
Current State: 92:[9, 86], Operations: ['32-23=9', '97-11=86']
Exploring Operation: 9*86=774, Resulting Numbers: [774]
774,92 unequal: No Solution
Exploring Operation: 9+86=95, Resulting Numbers: [95]
95,92 unequal: No Solution
Exploring Operation: 86-9=77, Resulting Numbers: [77]
77,92 unequal: No Solution
Moving to Node #0,3,3
Current State: 92:[97, 99], Operations: ['32-23=9', '11*9=99']
Exploring Operation: 97+99=196, Resulting Numbers: [196]
196,92 unequal: No Solution
Exploring Operation: 99-97=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 97*99=9603, Resulting Numbers: [9603]
9603,92 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:[97, 11, 55], Operations: ['32+23=55']
Exploring Operation: 55/11=5, Resulting Numbers: [97, 5]
Generated Node #0,1,0: 92:[97, 5] Operation: 55/11=5
Exploring Operation: 55-11=44, Resulting Numbers: [97, 44]
Generated Node #0,1,1: 92:[97, 44] Operation: 55-11=44
Exploring Operation: 97-11=86, Resulting Numbers: [55, 86]
Generated Node #0,1,2: 92:[55, 86] Operation: 97-11=86
Exploring Operation: 97+11=108, Resulting Numbers: [55, 108]
Generated Node #0,1,3: 92:[55, 108] Operation: 97+11=108
Exploring Operation: 97-55=42, Resulting Numbers: [11, 42]
Generated Node #0,1,4: 92:[11, 42] Operation: 97-55=42
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 92:[97, 5], Operations: ['32+23=55', '55/11=5']
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[32, 97, 23, 11], Operations: []
Exploring Operation: 32+23=55, Resulting Numbers: [97, 11, 55]
Generated Node #0,1: 92:[97, 11, 55] Operation: 32+23=55
Moving to Node #0,1
Current State: 92:[97, 11, 55], Operations: ['32+23=55']
Exploring Operation: 55/11=5, Resulting Numbers: [97, 5]
Generated Node #0,1,0: 92:[97, 5] Operation: 55/11=5
Moving to Node #0,1,0
Current State: 92:[97, 5], Operations: ['32+23=55', '55/11=5']
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.916667 | hs_5 | mult_heuristic |
[
19,
80,
13,
18
] | 66 | [
"80-19=61",
"18-13=5",
"61+5=66"
] | Current State: 66:[19, 80, 13, 18], Operations: []
Exploring Operation: 80-19=61, Resulting Numbers: [13, 18, 61]
Generated Node #2: [13, 18, 61] from Operation: 80-19=61
Current State: 66:[13, 18, 61], Operations: ['80-19=61']
Exploring Operation: 18-13=5, Resulting Numbers: [61, 5]
Generated Node #3: [61, 5] from Operation: 18-13=5
Current State: 66:[61, 5], Operations: ['80-19=61', '18-13=5']
Exploring Operation: 61+5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[19, 80, 13, 18], Operations: []
Exploring Operation: 80-19=61, Resulting Numbers: [13, 18, 61]
Generated Node #0,0: 66:[13, 18, 61] Operation: 80-19=61
Exploring Operation: 80-18=62, Resulting Numbers: [19, 13, 62]
Generated Node #0,1: 66:[19, 13, 62] Operation: 80-18=62
Exploring Operation: 19-18=1, Resulting Numbers: [80, 13, 1]
Generated Node #0,2: 66:[80, 13, 1] Operation: 19-18=1
Exploring Operation: 80-13=67, Resulting Numbers: [19, 18, 67]
Generated Node #0,3: 66:[19, 18, 67] Operation: 80-13=67
Start Sub Search at level 1: Moving to Node #0,3
Current State: 66:[19, 18, 67], Operations: ['80-13=67']
Exploring Operation: 19+18=37, Resulting Numbers: [67, 37]
Generated Node #0,3,0: 66:[67, 37] Operation: 19+18=37
Exploring Operation: 67-19=48, Resulting Numbers: [18, 48]
Generated Node #0,3,1: 66:[18, 48] Operation: 67-19=48
Exploring Operation: 67-18=49, Resulting Numbers: [19, 49]
Generated Node #0,3,2: 66:[19, 49] Operation: 67-18=49
Exploring Operation: 19-18=1, Resulting Numbers: [67, 1]
Generated Node #0,3,3: 66:[67, 1] Operation: 19-18=1
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 66:[67, 1], Operations: ['80-13=67', '19-18=1']
Exploring Operation: 67/1=67, Resulting Numbers: [67]
67,66 unequal: No Solution
Exploring Operation: 67*1=67, Resulting Numbers: [67]
67,66 unequal: No Solution
Exploring Operation: 67+1=68, Resulting Numbers: [68]
68,66 unequal: No Solution
Exploring Operation: 67-1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[19, 80, 13, 18], Operations: []
Exploring Operation: 80-13=67, Resulting Numbers: [19, 18, 67]
Generated Node #0,3: 66:[19, 18, 67] Operation: 80-13=67
Moving to Node #0,3
Current State: 66:[19, 18, 67], Operations: ['80-13=67']
Exploring Operation: 19-18=1, Resulting Numbers: [67, 1]
Generated Node #0,3,3: 66:[67, 1] Operation: 19-18=1
Moving to Node #0,3,3
Current State: 66:[67, 1], Operations: ['80-13=67', '19-18=1']
Exploring Operation: 67-1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
31,
93,
94,
38
] | 68 | [
"31+93=124",
"94-38=56",
"124-56=68"
] | Current State: 68:[31, 93, 94, 38], Operations: []
Exploring Operation: 31+93=124, Resulting Numbers: [94, 38, 124]
Generated Node #2: [94, 38, 124] from Operation: 31+93=124
Current State: 68:[94, 38, 124], Operations: ['31+93=124']
Exploring Operation: 94-38=56, Resulting Numbers: [124, 56]
Generated Node #3: [124, 56] from Operation: 94-38=56
Current State: 68:[124, 56], Operations: ['31+93=124', '94-38=56']
Exploring Operation: 124-56=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[31, 93, 94, 38], Operations: []
Exploring Operation: 94-31=63, Resulting Numbers: [93, 38, 63]
Generated Node #0,0: 68:[93, 38, 63] Operation: 94-31=63
Exploring Operation: 93-31=62, Resulting Numbers: [94, 38, 62]
Generated Node #0,1: 68:[94, 38, 62] Operation: 93-31=62
Exploring Operation: 93/31=3, Resulting Numbers: [94, 38, 3]
Generated Node #0,2: 68:[94, 38, 3] Operation: 93/31=3
Exploring Operation: 94-93=1, Resulting Numbers: [31, 38, 1]
Generated Node #0,3: 68:[31, 38, 1] Operation: 94-93=1
Start Sub Search at level 1: Moving to Node #0,3
Current State: 68:[31, 38, 1], Operations: ['94-93=1']
Exploring Operation: 31+1=32, Resulting Numbers: [38, 32]
Generated Node #0,3,0: 68:[38, 32] Operation: 31+1=32
Exploring Operation: 38-31=7, Resulting Numbers: [1, 7]
Generated Node #0,3,1: 68:[1, 7] Operation: 38-31=7
Exploring Operation: 38-1=37, Resulting Numbers: [31, 37]
Generated Node #0,3,2: 68:[31, 37] Operation: 38-1=37
Exploring Operation: 31+38=69, Resulting Numbers: [1, 69]
Generated Node #0,3,3: 68:[1, 69] Operation: 31+38=69
Moving to Node #0,3,3
Current State: 68:[1, 69], Operations: ['94-93=1', '31+38=69']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[31, 93, 94, 38], Operations: []
Exploring Operation: 94-93=1, Resulting Numbers: [31, 38, 1]
Generated Node #0,3: 68:[31, 38, 1] Operation: 94-93=1
Moving to Node #0,3
Current State: 68:[31, 38, 1], Operations: ['94-93=1']
Exploring Operation: 31+38=69, Resulting Numbers: [1, 69]
Generated Node #0,3,3: 68:[1, 69] Operation: 31+38=69
Moving to Node #0,3,3
Current State: 68:[1, 69], Operations: ['94-93=1', '31+38=69']
Exploring Operation: 69-1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
7,
82,
25,
41
] | 44 | [
"82-7=75",
"75/25=3",
"41+3=44"
] | Current State: 44:[7, 82, 25, 41], Operations: []
Exploring Operation: 82-7=75, Resulting Numbers: [25, 41, 75]
Generated Node #2: [25, 41, 75] from Operation: 82-7=75
Current State: 44:[25, 41, 75], Operations: ['82-7=75']
Exploring Operation: 75/25=3, Resulting Numbers: [41, 3]
Generated Node #3: [41, 3] from Operation: 75/25=3
Current State: 44:[41, 3], Operations: ['82-7=75', '75/25=3']
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[7, 82, 25, 41], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [7, 25, 2]
Generated Node #0,0: 44:[7, 25, 2] Operation: 82/41=2
Exploring Operation: 82-7=75, Resulting Numbers: [25, 41, 75]
Generated Node #0,1: 44:[25, 41, 75] Operation: 82-7=75
Exploring Operation: 82-41=41, Resulting Numbers: [7, 25, 41]
Generated Node #0,2: 44:[7, 25, 41] Operation: 82-41=41
Exploring Operation: 82-25=57, Resulting Numbers: [7, 41, 57]
Generated Node #0,3: 44:[7, 41, 57] Operation: 82-25=57
Moving to Node #0,0
Current State: 44:[7, 25, 2], Operations: ['82/41=2']
Exploring Operation: 25-2=23, Resulting Numbers: [7, 23]
Generated Node #0,0,0: 44:[7, 23] Operation: 25-2=23
Exploring Operation: 25-7=18, Resulting Numbers: [2, 18]
Generated Node #0,0,1: 44:[2, 18] Operation: 25-7=18
Exploring Operation: 7-2=5, Resulting Numbers: [25, 5]
Generated Node #0,0,2: 44:[25, 5] Operation: 7-2=5
Exploring Operation: 7+2=9, Resulting Numbers: [25, 9]
Generated Node #0,0,3: 44:[25, 9] Operation: 7+2=9
Moving to Node #0,2
Current State: 44:[7, 25, 41], Operations: ['82-41=41']
Exploring Operation: 25-7=18, Resulting Numbers: [41, 18]
Generated Node #0,2,0: 44:[41, 18] Operation: 25-7=18
Exploring Operation: 7+41=48, Resulting Numbers: [25, 48]
Generated Node #0,2,1: 44:[25, 48] Operation: 7+41=48
Exploring Operation: 41-25=16, Resulting Numbers: [7, 16]
Generated Node #0,2,2: 44:[7, 16] Operation: 41-25=16
Exploring Operation: 7+25=32, Resulting Numbers: [41, 32]
Generated Node #0,2,3: 44:[41, 32] Operation: 7+25=32
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 44:[41, 18], Operations: ['82-41=41', '25-7=18']
Exploring Operation: 41-18=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 41*18=738, Resulting Numbers: [738]
738,44 unequal: No Solution
Exploring Operation: 41+18=59, Resulting Numbers: [59]
59,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 44:[25, 48], Operations: ['82-41=41', '7+41=48']
Exploring Operation: 25*48=1200, Resulting Numbers: [1200]
1200,44 unequal: No Solution
Exploring Operation: 25+48=73, Resulting Numbers: [73]
73,44 unequal: No Solution
Exploring Operation: 48-25=23, Resulting Numbers: [23]
23,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 44:[7, 16], Operations: ['82-41=41', '41-25=16']
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,44 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Exploring Operation: 7*16=112, Resulting Numbers: [112]
112,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 44:[41, 32], Operations: ['82-41=41', '7+25=32']
Exploring Operation: 41*32=1312, Resulting Numbers: [1312]
1312,44 unequal: No Solution
Exploring Operation: 41+32=73, Resulting Numbers: [73]
73,44 unequal: No Solution
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,44 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: 44:[7, 41, 57], Operations: ['82-25=57']
Exploring Operation: 57-7=50, Resulting Numbers: [41, 50]
Generated Node #0,3,0: 44:[41, 50] Operation: 57-7=50
Exploring Operation: 41-7=34, Resulting Numbers: [57, 34]
Generated Node #0,3,1: 44:[57, 34] Operation: 41-7=34
Exploring Operation: 7+41=48, Resulting Numbers: [57, 48]
Generated Node #0,3,2: 44:[57, 48] Operation: 7+41=48
Exploring Operation: 57-41=16, Resulting Numbers: [7, 16]
Generated Node #0,3,3: 44:[7, 16] Operation: 57-41=16
Moving to Node #0,1
Current State: 44:[25, 41, 75], Operations: ['82-7=75']
Exploring Operation: 75/25=3, Resulting Numbers: [41, 3]
Generated Node #0,1,0: 44:[41, 3] Operation: 75/25=3
Exploring Operation: 75-41=34, Resulting Numbers: [25, 34]
Generated Node #0,1,1: 44:[25, 34] Operation: 75-41=34
Exploring Operation: 75-25=50, Resulting Numbers: [41, 50]
Generated Node #0,1,2: 44:[41, 50] Operation: 75-25=50
Exploring Operation: 41-25=16, Resulting Numbers: [75, 16]
Generated Node #0,1,3: 44:[75, 16] Operation: 41-25=16
Moving to Node #0,0,0
Current State: 44:[7, 23], Operations: ['82/41=2', '25-2=23']
Exploring Operation: 7+23=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 7*23=161, Resulting Numbers: [161]
161,44 unequal: No Solution
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Moving to Node #0,0,2
Current State: 44:[25, 5], Operations: ['82/41=2', '7-2=5']
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,44 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,44 unequal: No Solution
Exploring Operation: 25+5=30, Resulting Numbers: [30]
30,44 unequal: No Solution
Exploring Operation: 25*5=125, Resulting Numbers: [125]
125,44 unequal: No Solution
Moving to Node #0,0,1
Current State: 44:[2, 18], Operations: ['82/41=2', '25-7=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,44 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,44 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[41, 3], Operations: ['82-7=75', '75/25=3']
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[7, 82, 25, 41], Operations: []
Exploring Operation: 82-7=75, Resulting Numbers: [25, 41, 75]
Generated Node #0,1: 44:[25, 41, 75] Operation: 82-7=75
Moving to Node #0,1
Current State: 44:[25, 41, 75], Operations: ['82-7=75']
Exploring Operation: 75/25=3, Resulting Numbers: [41, 3]
Generated Node #0,1,0: 44:[41, 3] Operation: 75/25=3
Moving to Node #0,1,0
Current State: 44:[41, 3], Operations: ['82-7=75', '75/25=3']
Exploring Operation: 41+3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 0.958333 | hs_4 | sum_heuristic |
[
90,
72,
56,
73
] | 33 | [
"90+72=162",
"56+73=129",
"162-129=33"
] | Current State: 33:[90, 72, 56, 73], Operations: []
Exploring Operation: 90+72=162, Resulting Numbers: [56, 73, 162]
Generated Node #2: [56, 73, 162] from Operation: 90+72=162
Current State: 33:[56, 73, 162], Operations: ['90+72=162']
Exploring Operation: 56+73=129, Resulting Numbers: [162, 129]
Generated Node #3: [162, 129] from Operation: 56+73=129
Current State: 33:[162, 129], Operations: ['90+72=162', '56+73=129']
Exploring Operation: 162-129=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[90, 72, 56, 73], Operations: []
Exploring Operation: 90-73=17, Resulting Numbers: [72, 56, 17]
Generated Node #0,0: 33:[72, 56, 17] Operation: 90-73=17
Moving to Node #0,0
Current State: 33:[72, 56, 17], Operations: ['90-73=17']
Exploring Operation: 72-56=16, Resulting Numbers: [17, 16]
Generated Node #0,0,0: 33:[17, 16] Operation: 72-56=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[17, 16], Operations: ['90-73=17', '72-56=16']
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[90, 72, 56, 73], Operations: []
Exploring Operation: 90-73=17, Resulting Numbers: [72, 56, 17]
Generated Node #0,0: 33:[72, 56, 17] Operation: 90-73=17
Moving to Node #0,0
Current State: 33:[72, 56, 17], Operations: ['90-73=17']
Exploring Operation: 72-56=16, Resulting Numbers: [17, 16]
Generated Node #0,0,0: 33:[17, 16] Operation: 72-56=16
Moving to Node #0,0,0
Current State: 33:[17, 16], Operations: ['90-73=17', '72-56=16']
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
81,
4,
78,
6
] | 90 | [
"81-4=77",
"78/6=13",
"77+13=90"
] | Current State: 90:[81, 4, 78, 6], Operations: []
Exploring Operation: 81-4=77, Resulting Numbers: [78, 6, 77]
Generated Node #2: [78, 6, 77] from Operation: 81-4=77
Current State: 90:[78, 6, 77], Operations: ['81-4=77']
Exploring Operation: 78/6=13, Resulting Numbers: [77, 13]
Generated Node #3: [77, 13] from Operation: 78/6=13
Current State: 90:[77, 13], Operations: ['81-4=77', '78/6=13']
Exploring Operation: 77+13=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[81, 4, 78, 6], Operations: []
Exploring Operation: 81-78=3, Resulting Numbers: [4, 6, 3]
Generated Node #0,0: 90:[4, 6, 3] Operation: 81-78=3
Exploring Operation: 78/6=13, Resulting Numbers: [81, 4, 13]
Generated Node #0,1: 90:[81, 4, 13] Operation: 78/6=13
Exploring Operation: 81+6=87, Resulting Numbers: [4, 78, 87]
Generated Node #0,2: 90:[4, 78, 87] Operation: 81+6=87
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[4, 6, 3], Operations: ['81-78=3']
Exploring Operation: 4+6=10, Resulting Numbers: [3, 10]
Generated Node #0,0,0: 90:[3, 10] Operation: 4+6=10
Exploring Operation: 4+3=7, Resulting Numbers: [6, 7]
Generated Node #0,0,1: 90:[6, 7] Operation: 4+3=7
Exploring Operation: 6-4=2, Resulting Numbers: [3, 2]
Generated Node #0,0,2: 90:[3, 2] Operation: 6-4=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[3, 10], Operations: ['81-78=3', '4+6=10']
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 90:[3, 2], Operations: ['81-78=3', '6-4=2']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,90 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 90:[6, 7], Operations: ['81-78=3', '4+3=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,90 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[81, 4, 13], Operations: ['78/6=13']
Exploring Operation: 81+13=94, Resulting Numbers: [4, 94]
Generated Node #0,1,0: 90:[4, 94] Operation: 81+13=94
Exploring Operation: 81+4=85, Resulting Numbers: [13, 85]
Generated Node #0,1,1: 90:[13, 85] Operation: 81+4=85
Exploring Operation: 13-4=9, Resulting Numbers: [81, 9]
Generated Node #0,1,2: 90:[81, 9] Operation: 13-4=9
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 90:[4, 94], Operations: ['78/6=13', '81+13=94']
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[81, 4, 78, 6], Operations: []
Exploring Operation: 78/6=13, Resulting Numbers: [81, 4, 13]
Generated Node #0,1: 90:[81, 4, 13] Operation: 78/6=13
Moving to Node #0,1
Current State: 90:[81, 4, 13], Operations: ['78/6=13']
Exploring Operation: 81+13=94, Resulting Numbers: [4, 94]
Generated Node #0,1,0: 90:[4, 94] Operation: 81+13=94
Moving to Node #0,1,0
Current State: 90:[4, 94], Operations: ['78/6=13', '81+13=94']
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
37,
47,
24,
7
] | 98 | [
"47-37=10",
"24-10=14",
"7*14=98"
] | Current State: 98:[37, 47, 24, 7], Operations: []
Exploring Operation: 47-37=10, Resulting Numbers: [24, 7, 10]
Generated Node #2: [24, 7, 10] from Operation: 47-37=10
Current State: 98:[24, 7, 10], Operations: ['47-37=10']
Exploring Operation: 24-10=14, Resulting Numbers: [7, 14]
Generated Node #3: [7, 14] from Operation: 24-10=14
Current State: 98:[7, 14], Operations: ['47-37=10', '24-10=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[37, 47, 24, 7], Operations: []
Exploring Operation: 37-24=13, Resulting Numbers: [47, 7, 13]
Generated Node #0,0: 98:[47, 7, 13] Operation: 37-24=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[47, 7, 13], Operations: ['37-24=13']
Exploring Operation: 13-7=6, Resulting Numbers: [47, 6]
Generated Node #0,0,0: 98:[47, 6] Operation: 13-7=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 98:[47, 6], Operations: ['37-24=13', '13-7=6']
Exploring Operation: 47+6=53, Resulting Numbers: [53]
53,98 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
24,
39,
44,
25
] | 83 | [
"25-24=1",
"39+44=83",
"1*83=83"
] | Current State: 83:[24, 39, 44, 25], Operations: []
Exploring Operation: 25-24=1, Resulting Numbers: [39, 44, 1]
Generated Node #2: [39, 44, 1] from Operation: 25-24=1
Current State: 83:[39, 44, 1], Operations: ['25-24=1']
Exploring Operation: 39+44=83, Resulting Numbers: [1, 83]
Generated Node #3: [1, 83] from Operation: 39+44=83
Current State: 83:[1, 83], Operations: ['25-24=1', '39+44=83']
Exploring Operation: 1*83=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[24, 39, 44, 25], Operations: []
Exploring Operation: 24+39=63, Resulting Numbers: [44, 25, 63]
Generated Node #0,0: 83:[44, 25, 63] Operation: 24+39=63
Exploring Operation: 24+44=68, Resulting Numbers: [39, 25, 68]
Generated Node #0,1: 83:[39, 25, 68] Operation: 24+44=68
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[44, 25, 63], Operations: ['24+39=63']
Exploring Operation: 44+25=69, Resulting Numbers: [63, 69]
Generated Node #0,0,0: 83:[63, 69] Operation: 44+25=69
Exploring Operation: 25+63=88, Resulting Numbers: [44, 88]
Generated Node #0,0,1: 83:[44, 88] Operation: 25+63=88
Moving to Node #0,0,0
Current State: 83:[63, 69], Operations: ['24+39=63', '44+25=69']
Exploring Operation: 69-63=6, Resulting Numbers: [6]
6,83 unequal: No Solution
Exploring Operation: 63+69=132, Resulting Numbers: [132]
132,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[44, 88], Operations: ['24+39=63', '25+63=88']
Exploring Operation: 88-44=44, Resulting Numbers: [44]
44,83 unequal: No Solution
Exploring Operation: 44+88=132, Resulting Numbers: [132]
132,83 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
Current State: 83:[39, 25, 68], Operations: ['24+44=68']
Exploring Operation: 25+68=93, Resulting Numbers: [39, 93]
Generated Node #0,1,0: 83:[39, 93] Operation: 25+68=93
Exploring Operation: 39+25=64, Resulting Numbers: [68, 64]
Generated Node #0,1,1: 83:[68, 64] Operation: 39+25=64
Moving to Node #0,1,1
Current State: 83:[68, 64], Operations: ['24+44=68', '39+25=64']
Exploring Operation: 68-64=4, Resulting Numbers: [4]
4,83 unequal: No Solution
Exploring Operation: 68+64=132, Resulting Numbers: [132]
132,83 unequal: No Solution
Moving to Node #0,1,0
Current State: 83:[39, 93], Operations: ['24+44=68', '25+68=93']
Exploring Operation: 93-39=54, Resulting Numbers: [54]
54,83 unequal: No Solution
Exploring Operation: 39+93=132, Resulting Numbers: [132]
132,83 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,
4,
92,
7
] | 26 | [
"92-90=2",
"4*7=28",
"28-2=26"
] | Current State: 26:[90, 4, 92, 7], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [4, 7, 2]
Generated Node #2: [4, 7, 2] from Operation: 92-90=2
Current State: 26:[4, 7, 2], Operations: ['92-90=2']
Exploring Operation: 4*7=28, Resulting Numbers: [2, 28]
Generated Node #3: [2, 28] from Operation: 4*7=28
Current State: 26:[2, 28], Operations: ['92-90=2', '4*7=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[90, 4, 92, 7], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [4, 7, 2]
Generated Node #0,0: 26:[4, 7, 2] Operation: 92-90=2
Exploring Operation: 92/4=23, Resulting Numbers: [90, 7, 23]
Generated Node #0,1: 26:[90, 7, 23] Operation: 92/4=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[4, 7, 2], Operations: ['92-90=2']
Exploring Operation: 4+7=11, Resulting Numbers: [2, 11]
Generated Node #0,0,0: 26:[2, 11] Operation: 4+7=11
Exploring Operation: 7-4=3, Resulting Numbers: [2, 3]
Generated Node #0,0,1: 26:[2, 3] Operation: 7-4=3
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 26:[2, 3], Operations: ['92-90=2', '7-4=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,26 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 26:[2, 11], Operations: ['92-90=2', '4+7=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,26 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,26 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[90, 7, 23], Operations: ['92/4=23']
Exploring Operation: 90-7=83, Resulting Numbers: [23, 83]
Generated Node #0,1,0: 26:[23, 83] Operation: 90-7=83
Exploring Operation: 90-23=67, Resulting Numbers: [7, 67]
Generated Node #0,1,1: 26:[7, 67] Operation: 90-23=67
Moving to Node #0,1,1
Current State: 26:[7, 67], Operations: ['92/4=23', '90-23=67']
Exploring Operation: 7+67=74, Resulting Numbers: [74]
74,26 unequal: No Solution
Exploring Operation: 67-7=60, Resulting Numbers: [60]
60,26 unequal: No Solution
Moving to Node #0,1,0
Current State: 26:[23, 83], Operations: ['92/4=23', '90-7=83']
Exploring Operation: 83-23=60, Resulting Numbers: [60]
60,26 unequal: No Solution
Exploring Operation: 23+83=106, Resulting Numbers: [106]
106,26 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 |
[
2,
68,
4,
81
] | 44 | [
"2+68=70",
"81-70=11",
"4*11=44"
] | Current State: 44:[2, 68, 4, 81], Operations: []
Exploring Operation: 2+68=70, Resulting Numbers: [4, 81, 70]
Generated Node #2: [4, 81, 70] from Operation: 2+68=70
Current State: 44:[4, 81, 70], Operations: ['2+68=70']
Exploring Operation: 81-70=11, Resulting Numbers: [4, 11]
Generated Node #3: [4, 11] from Operation: 81-70=11
Current State: 44:[4, 11], Operations: ['2+68=70', '81-70=11']
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[2, 68, 4, 81], Operations: []
Exploring Operation: 68-4=64, Resulting Numbers: [2, 81, 64]
Generated Node #0,0: 44:[2, 81, 64] Operation: 68-4=64
Exploring Operation: 81-4=77, Resulting Numbers: [2, 68, 77]
Generated Node #0,1: 44:[2, 68, 77] Operation: 81-4=77
Exploring Operation: 81-68=13, Resulting Numbers: [2, 4, 13]
Generated Node #0,2: 44:[2, 4, 13] Operation: 81-68=13
Exploring Operation: 68/2=34, Resulting Numbers: [4, 81, 34]
Generated Node #0,3: 44:[4, 81, 34] Operation: 68/2=34
Exploring Operation: 68/4=17, Resulting Numbers: [2, 81, 17]
Generated Node #0,4: 44:[2, 81, 17] Operation: 68/4=17
Moving to Node #0,2
Current State: 44:[2, 4, 13], Operations: ['81-68=13']
Exploring Operation: 4-2=2, Resulting Numbers: [13, 2]
Generated Node #0,2,0: 44:[13, 2] Operation: 4-2=2
Exploring Operation: 4/2=2, Resulting Numbers: [13, 2]
Generated Node #0,2,1: 44:[13, 2] Operation: 4/2=2
Exploring Operation: 13-4=9, Resulting Numbers: [2, 9]
Generated Node #0,2,2: 44:[2, 9] Operation: 13-4=9
Exploring Operation: 2+4=6, Resulting Numbers: [13, 6]
Generated Node #0,2,3: 44:[13, 6] Operation: 2+4=6
Exploring Operation: 13-2=11, Resulting Numbers: [4, 11]
Generated Node #0,2,4: 44:[4, 11] Operation: 13-2=11
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 44:[4, 11], Operations: ['81-68=13', '13-2=11']
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[2, 68, 4, 81], Operations: []
Exploring Operation: 81-68=13, Resulting Numbers: [2, 4, 13]
Generated Node #0,2: 44:[2, 4, 13] Operation: 81-68=13
Moving to Node #0,2
Current State: 44:[2, 4, 13], Operations: ['81-68=13']
Exploring Operation: 13-2=11, Resulting Numbers: [4, 11]
Generated Node #0,2,4: 44:[4, 11] Operation: 13-2=11
Moving to Node #0,2,4
Current State: 44:[4, 11], Operations: ['81-68=13', '13-2=11']
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
2,
7,
78,
12
] | 68 | [
"12-7=5",
"2*5=10",
"78-10=68"
] | Current State: 68:[2, 7, 78, 12], Operations: []
Exploring Operation: 12-7=5, Resulting Numbers: [2, 78, 5]
Generated Node #2: [2, 78, 5] from Operation: 12-7=5
Current State: 68:[2, 78, 5], Operations: ['12-7=5']
Exploring Operation: 2*5=10, Resulting Numbers: [78, 10]
Generated Node #3: [78, 10] from Operation: 2*5=10
Current State: 68:[78, 10], Operations: ['12-7=5', '2*5=10']
Exploring Operation: 78-10=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[2, 7, 78, 12], Operations: []
Exploring Operation: 78-12=66, Resulting Numbers: [2, 7, 66]
Generated Node #0,0: 68:[2, 7, 66] Operation: 78-12=66
Exploring Operation: 78-7=71, Resulting Numbers: [2, 12, 71]
Generated Node #0,1: 68:[2, 12, 71] Operation: 78-7=71
Exploring Operation: 12-7=5, Resulting Numbers: [2, 78, 5]
Generated Node #0,2: 68:[2, 78, 5] Operation: 12-7=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[2, 7, 66], Operations: ['78-12=66']
Exploring Operation: 2+66=68, Resulting Numbers: [7, 68]
Generated Node #0,0,0: 68:[7, 68] Operation: 2+66=68
Exploring Operation: 7-2=5, Resulting Numbers: [66, 5]
Generated Node #0,0,1: 68:[66, 5] Operation: 7-2=5
Exploring Operation: 66/2=33, Resulting Numbers: [7, 33]
Generated Node #0,0,2: 68:[7, 33] Operation: 66/2=33
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 68:[7, 68], Operations: ['78-12=66', '2+66=68']
Exploring Operation: 7+68=75, Resulting Numbers: [75]
75,68 unequal: No Solution
Exploring Operation: 68-7=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Exploring Operation: 7*68=476, Resulting Numbers: [476]
476,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 68:[66, 5], Operations: ['78-12=66', '7-2=5']
Exploring Operation: 66+5=71, Resulting Numbers: [71]
71,68 unequal: No Solution
Exploring Operation: 66-5=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Exploring Operation: 66*5=330, Resulting Numbers: [330]
330,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 68:[7, 33], Operations: ['78-12=66', '66/2=33']
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,68 unequal: No Solution
Exploring Operation: 7*33=231, Resulting Numbers: [231]
231,68 unequal: No Solution
Exploring Operation: 7+33=40, Resulting Numbers: [40]
40,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[2, 12, 71], Operations: ['78-7=71']
Exploring Operation: 12/2=6, Resulting Numbers: [71, 6]
Generated Node #0,1,0: 68:[71, 6] Operation: 12/2=6
Exploring Operation: 71-2=69, Resulting Numbers: [12, 69]
Generated Node #0,1,1: 68:[12, 69] Operation: 71-2=69
Exploring Operation: 2+12=14, Resulting Numbers: [71, 14]
Generated Node #0,1,2: 68:[71, 14] Operation: 2+12=14
Moving to Node #0,1,0
Current State: 68:[71, 6], Operations: ['78-7=71', '12/2=6']
Exploring Operation: 71+6=77, Resulting Numbers: [77]
77,68 unequal: No Solution
Exploring Operation: 71*6=426, Resulting Numbers: [426]
426,68 unequal: No Solution
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,68 unequal: No Solution
Moving to Node #0,1,1
Current State: 68:[12, 69], Operations: ['78-7=71', '71-2=69']
Exploring Operation: 12*69=828, Resulting Numbers: [828]
828,68 unequal: No Solution
Exploring Operation: 69-12=57, Resulting Numbers: [57]
57,68 unequal: No Solution
Exploring Operation: 12+69=81, Resulting Numbers: [81]
81,68 unequal: No Solution
Moving to Node #0,1,2
Current State: 68:[71, 14], Operations: ['78-7=71', '2+12=14']
Exploring Operation: 71*14=994, Resulting Numbers: [994]
994,68 unequal: No Solution
Exploring Operation: 71-14=57, Resulting Numbers: [57]
57,68 unequal: No Solution
Exploring Operation: 71+14=85, Resulting Numbers: [85]
85,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 68:[2, 78, 5], Operations: ['12-7=5']
Exploring Operation: 78/2=39, Resulting Numbers: [5, 39]
Generated Node #0,2,0: 68:[5, 39] Operation: 78/2=39
Exploring Operation: 78-2=76, Resulting Numbers: [5, 76]
Generated Node #0,2,1: 68:[5, 76] Operation: 78-2=76
Exploring Operation: 78-5=73, Resulting Numbers: [2, 73]
Generated Node #0,2,2: 68:[2, 73] Operation: 78-5=73
Moving to Node #0,2,2
Current State: 68:[2, 73], Operations: ['12-7=5', '78-5=73']
Exploring Operation: 2+73=75, Resulting Numbers: [75]
75,68 unequal: No Solution
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,68 unequal: No Solution
Exploring Operation: 2*73=146, Resulting Numbers: [146]
146,68 unequal: No Solution
Moving to Node #0,2,0
Current State: 68:[5, 39], Operations: ['12-7=5', '78/2=39']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,68 unequal: No Solution
Exploring Operation: 5+39=44, Resulting Numbers: [44]
44,68 unequal: No Solution
Exploring Operation: 5*39=195, Resulting Numbers: [195]
195,68 unequal: No Solution
Moving to Node #0,2,1
Current State: 68:[5, 76], Operations: ['12-7=5', '78-2=76']
Exploring Operation: 5*76=380, Resulting Numbers: [380]
380,68 unequal: No Solution
Exploring Operation: 5+76=81, Resulting Numbers: [81]
81,68 unequal: No Solution
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
94,
28,
94,
89
] | 89 | [
"94-94=0",
"28*0=0",
"89+0=89"
] | Current State: 89:[94, 28, 94, 89], Operations: []
Exploring Operation: 94-94=0, Resulting Numbers: [28, 89, 0]
Generated Node #2: [28, 89, 0] from Operation: 94-94=0
Current State: 89:[28, 89, 0], Operations: ['94-94=0']
Exploring Operation: 28*0=0, Resulting Numbers: [89, 0]
Generated Node #3: [89, 0] from Operation: 28*0=0
Current State: 89:[89, 0], Operations: ['94-94=0', '28*0=0']
Exploring Operation: 89+0=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[94, 28, 94, 89], Operations: []
Exploring Operation: 94-28=66, Resulting Numbers: [94, 89, 66]
Generated Node #0,0: 89:[94, 89, 66] Operation: 94-28=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[94, 89, 66], Operations: ['94-28=66']
Exploring Operation: 94-66=28, Resulting Numbers: [89, 28]
Generated Node #0,0,0: 89:[89, 28] Operation: 94-66=28
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[89, 28], Operations: ['94-28=66', '94-66=28']
Exploring Operation: 89+28=117, Resulting Numbers: [117]
117,89 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
No solution found.
| 0 | hs_1 | mult_heuristic |
[
79,
94,
92,
56
] | 33 | [
"94-92=2",
"56*2=112",
"112-79=33"
] | Current State: 33:[79, 94, 92, 56], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [79, 56, 2]
Generated Node #2: [79, 56, 2] from Operation: 94-92=2
Current State: 33:[79, 56, 2], Operations: ['94-92=2']
Exploring Operation: 56*2=112, Resulting Numbers: [79, 112]
Generated Node #3: [79, 112] from Operation: 56*2=112
Current State: 33:[79, 112], Operations: ['94-92=2', '56*2=112']
Exploring Operation: 112-79=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[79, 94, 92, 56], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [94, 56, 13]
Generated Node #0,0: 33:[94, 56, 13] Operation: 92-79=13
Exploring Operation: 94-79=15, Resulting Numbers: [92, 56, 15]
Generated Node #0,1: 33:[92, 56, 15] Operation: 94-79=15
Exploring Operation: 94-92=2, Resulting Numbers: [79, 56, 2]
Generated Node #0,2: 33:[79, 56, 2] Operation: 94-92=2
Moving to Node #0,2
Current State: 33:[79, 56, 2], Operations: ['94-92=2']
Exploring Operation: 79-56=23, Resulting Numbers: [2, 23]
Generated Node #0,2,0: 33:[2, 23] Operation: 79-56=23
Exploring Operation: 79-2=77, Resulting Numbers: [56, 77]
Generated Node #0,2,1: 33:[56, 77] Operation: 79-2=77
Exploring Operation: 56/2=28, Resulting Numbers: [79, 28]
Generated Node #0,2,2: 33:[79, 28] Operation: 56/2=28
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 33:[2, 23], Operations: ['94-92=2', '79-56=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,33 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,33 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 33:[79, 28], Operations: ['94-92=2', '56/2=28']
Exploring Operation: 79+28=107, Resulting Numbers: [107]
107,33 unequal: No Solution
Exploring Operation: 79-28=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 79*28=2212, Resulting Numbers: [2212]
2212,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 33:[56, 77], Operations: ['94-92=2', '79-2=77']
Exploring Operation: 56+77=133, Resulting Numbers: [133]
133,33 unequal: No Solution
Exploring Operation: 77-56=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Exploring Operation: 56*77=4312, Resulting Numbers: [4312]
4312,33 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: 33:[94, 56, 13], Operations: ['92-79=13']
Exploring Operation: 94-13=81, Resulting Numbers: [56, 81]
Generated Node #0,0,0: 33:[56, 81] Operation: 94-13=81
Exploring Operation: 94-56=38, Resulting Numbers: [13, 38]
Generated Node #0,0,1: 33:[13, 38] Operation: 94-56=38
Exploring Operation: 56-13=43, Resulting Numbers: [94, 43]
Generated Node #0,0,2: 33:[94, 43] Operation: 56-13=43
Moving to Node #0,1
Current State: 33:[92, 56, 15], Operations: ['94-79=15']
Exploring Operation: 56-15=41, Resulting Numbers: [92, 41]
Generated Node #0,1,0: 33:[92, 41] Operation: 56-15=41
Exploring Operation: 92-56=36, Resulting Numbers: [15, 36]
Generated Node #0,1,1: 33:[15, 36] Operation: 92-56=36
Exploring Operation: 92-15=77, Resulting Numbers: [56, 77]
Generated Node #0,1,2: 33:[56, 77] Operation: 92-15=77
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 33:[15, 36], Operations: ['94-79=15', '92-56=36']
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Exploring Operation: 15+36=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 15*36=540, Resulting Numbers: [540]
540,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 33:[92, 41], Operations: ['94-79=15', '56-15=41']
Exploring Operation: 92-41=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 92+41=133, Resulting Numbers: [133]
133,33 unequal: No Solution
Exploring Operation: 92*41=3772, Resulting Numbers: [3772]
3772,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 33:[56, 77], Operations: ['94-79=15', '92-15=77']
Exploring Operation: 77-56=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Exploring Operation: 56*77=4312, Resulting Numbers: [4312]
4312,33 unequal: No Solution
Exploring Operation: 56+77=133, Resulting Numbers: [133]
133,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 33:[13, 38], Operations: ['92-79=13', '94-56=38']
Exploring Operation: 13*38=494, Resulting Numbers: [494]
494,33 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,33 unequal: No Solution
Exploring Operation: 13+38=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[56, 81], Operations: ['92-79=13', '94-13=81']
Exploring Operation: 81-56=25, Resulting Numbers: [25]
25,33 unequal: No Solution
Exploring Operation: 56*81=4536, Resulting Numbers: [4536]
4536,33 unequal: No Solution
Exploring Operation: 56+81=137, Resulting Numbers: [137]
137,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[94, 43], Operations: ['92-79=13', '56-13=43']
Exploring Operation: 94-43=51, Resulting Numbers: [51]
51,33 unequal: No Solution
Exploring Operation: 94+43=137, Resulting Numbers: [137]
137,33 unequal: No Solution
Exploring Operation: 94*43=4042, Resulting Numbers: [4042]
4042,33 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
90,
63,
2,
49
] | 34 | [
"63+49=112",
"112/2=56",
"90-56=34"
] | Current State: 34:[90, 63, 2, 49], Operations: []
Exploring Operation: 63+49=112, Resulting Numbers: [90, 2, 112]
Generated Node #2: [90, 2, 112] from Operation: 63+49=112
Current State: 34:[90, 2, 112], Operations: ['63+49=112']
Exploring Operation: 112/2=56, Resulting Numbers: [90, 56]
Generated Node #3: [90, 56] from Operation: 112/2=56
Current State: 34:[90, 56], Operations: ['63+49=112', '112/2=56']
Exploring Operation: 90-56=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[90, 63, 2, 49], Operations: []
Exploring Operation: 90-2=88, Resulting Numbers: [63, 49, 88]
Generated Node #0,0: 34:[63, 49, 88] Operation: 90-2=88
Exploring Operation: 63-49=14, Resulting Numbers: [90, 2, 14]
Generated Node #0,1: 34:[90, 2, 14] Operation: 63-49=14
Exploring Operation: 90/2=45, Resulting Numbers: [63, 49, 45]
Generated Node #0,2: 34:[63, 49, 45] Operation: 90/2=45
Exploring Operation: 90-63=27, Resulting Numbers: [2, 49, 27]
Generated Node #0,3: 34:[2, 49, 27] Operation: 90-63=27
Exploring Operation: 90-49=41, Resulting Numbers: [63, 2, 41]
Generated Node #0,4: 34:[63, 2, 41] Operation: 90-49=41
Moving to Node #0,3
Current State: 34:[2, 49, 27], Operations: ['90-63=27']
Exploring Operation: 27-2=25, Resulting Numbers: [49, 25]
Generated Node #0,3,0: 34:[49, 25] Operation: 27-2=25
Exploring Operation: 49-27=22, Resulting Numbers: [2, 22]
Generated Node #0,3,1: 34:[2, 22] Operation: 49-27=22
Exploring Operation: 2+49=51, Resulting Numbers: [27, 51]
Generated Node #0,3,2: 34:[27, 51] Operation: 2+49=51
Exploring Operation: 49-2=47, Resulting Numbers: [27, 47]
Generated Node #0,3,3: 34:[27, 47] Operation: 49-2=47
Exploring Operation: 2+27=29, Resulting Numbers: [49, 29]
Generated Node #0,3,4: 34:[49, 29] Operation: 2+27=29
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 34:[2, 22], Operations: ['90-63=27', '49-27=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,34 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 34:[27, 47], Operations: ['90-63=27', '49-2=47']
Exploring Operation: 27*47=1269, Resulting Numbers: [1269]
1269,34 unequal: No Solution
Exploring Operation: 47-27=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Exploring Operation: 27+47=74, Resulting Numbers: [74]
74,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 34:[49, 29], Operations: ['90-63=27', '2+27=29']
Exploring Operation: 49*29=1421, Resulting Numbers: [1421]
1421,34 unequal: No Solution
Exploring Operation: 49-29=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Exploring Operation: 49+29=78, Resulting Numbers: [78]
78,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 34:[49, 25], Operations: ['90-63=27', '27-2=25']
Exploring Operation: 49-25=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 49+25=74, Resulting Numbers: [74]
74,34 unequal: No Solution
Exploring Operation: 49*25=1225, Resulting Numbers: [1225]
1225,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 34:[27, 51], Operations: ['90-63=27', '2+49=51']
Exploring Operation: 51-27=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 27*51=1377, Resulting Numbers: [1377]
1377,34 unequal: No Solution
Exploring Operation: 27+51=78, Resulting Numbers: [78]
78,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 34:[63, 2, 41], Operations: ['90-49=41']
Exploring Operation: 41-2=39, Resulting Numbers: [63, 39]
Generated Node #0,4,0: 34:[63, 39] Operation: 41-2=39
Exploring Operation: 63-2=61, Resulting Numbers: [41, 61]
Generated Node #0,4,1: 34:[41, 61] Operation: 63-2=61
Exploring Operation: 63+2=65, Resulting Numbers: [41, 65]
Generated Node #0,4,2: 34:[41, 65] Operation: 63+2=65
Exploring Operation: 2+41=43, Resulting Numbers: [63, 43]
Generated Node #0,4,3: 34:[63, 43] Operation: 2+41=43
Exploring Operation: 63-41=22, Resulting Numbers: [2, 22]
Generated Node #0,4,4: 34:[2, 22] Operation: 63-41=22
Moving to Node #0,2
Current State: 34:[63, 49, 45], Operations: ['90/2=45']
Exploring Operation: 63+49=112, Resulting Numbers: [45, 112]
Generated Node #0,2,0: 34:[45, 112] Operation: 63+49=112
Exploring Operation: 49-45=4, Resulting Numbers: [63, 4]
Generated Node #0,2,1: 34:[63, 4] Operation: 49-45=4
Exploring Operation: 63-45=18, Resulting Numbers: [49, 18]
Generated Node #0,2,2: 34:[49, 18] Operation: 63-45=18
Exploring Operation: 63+45=108, Resulting Numbers: [49, 108]
Generated Node #0,2,3: 34:[49, 108] Operation: 63+45=108
Exploring Operation: 63-49=14, Resulting Numbers: [45, 14]
Generated Node #0,2,4: 34:[45, 14] Operation: 63-49=14
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 34:[45, 14], Operations: ['90/2=45', '63-49=14']
Exploring Operation: 45+14=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,34 unequal: No Solution
Exploring Operation: 45*14=630, Resulting Numbers: [630]
630,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 34:[49, 18], Operations: ['90/2=45', '63-45=18']
Exploring Operation: 49*18=882, Resulting Numbers: [882]
882,34 unequal: No Solution
Exploring Operation: 49+18=67, Resulting Numbers: [67]
67,34 unequal: No Solution
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 34:[63, 4], Operations: ['90/2=45', '49-45=4']
Exploring Operation: 63*4=252, Resulting Numbers: [252]
252,34 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 34:[45, 112], Operations: ['90/2=45', '63+49=112']
Exploring Operation: 45+112=157, Resulting Numbers: [157]
157,34 unequal: No Solution
Exploring Operation: 45*112=5040, Resulting Numbers: [5040]
5040,34 unequal: No Solution
Exploring Operation: 112-45=67, Resulting Numbers: [67]
67,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 34:[49, 108], Operations: ['90/2=45', '63+45=108']
Exploring Operation: 49*108=5292, Resulting Numbers: [5292]
5292,34 unequal: No Solution
Exploring Operation: 108-49=59, Resulting Numbers: [59]
59,34 unequal: No Solution
Exploring Operation: 49+108=157, Resulting Numbers: [157]
157,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 34:[90, 2, 14], Operations: ['63-49=14']
Exploring Operation: 90-2=88, Resulting Numbers: [14, 88]
Generated Node #0,1,0: 34:[14, 88] Operation: 90-2=88
Exploring Operation: 90/2=45, Resulting Numbers: [14, 45]
Generated Node #0,1,1: 34:[14, 45] Operation: 90/2=45
Exploring Operation: 90+2=92, Resulting Numbers: [14, 92]
Generated Node #0,1,2: 34:[14, 92] Operation: 90+2=92
Exploring Operation: 90-14=76, Resulting Numbers: [2, 76]
Generated Node #0,1,3: 34:[2, 76] Operation: 90-14=76
Exploring Operation: 2+14=16, Resulting Numbers: [90, 16]
Generated Node #0,1,4: 34:[90, 16] Operation: 2+14=16
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[14, 45], Operations: ['63-49=14', '90/2=45']
Exploring Operation: 14*45=630, Resulting Numbers: [630]
630,34 unequal: No Solution
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,34 unequal: No Solution
Exploring Operation: 14+45=59, Resulting Numbers: [59]
59,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 34:[2, 76], Operations: ['63-49=14', '90-14=76']
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,34 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,34 unequal: No Solution
Exploring Operation: 2*76=152, Resulting Numbers: [152]
152,34 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[14, 88], Operations: ['63-49=14', '90-2=88']
Exploring Operation: 14+88=102, Resulting Numbers: [102]
102,34 unequal: No Solution
Exploring Operation: 88-14=74, Resulting Numbers: [74]
74,34 unequal: No Solution
Exploring Operation: 14*88=1232, Resulting Numbers: [1232]
1232,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 34:[90, 16], Operations: ['63-49=14', '2+14=16']
Exploring Operation: 90-16=74, Resulting Numbers: [74]
74,34 unequal: No Solution
Exploring Operation: 90*16=1440, Resulting Numbers: [1440]
1440,34 unequal: No Solution
Exploring Operation: 90+16=106, Resulting Numbers: [106]
106,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 34:[14, 92], Operations: ['63-49=14', '90+2=92']
Exploring Operation: 14*92=1288, Resulting Numbers: [1288]
1288,34 unequal: No Solution
Exploring Operation: 14+92=106, Resulting Numbers: [106]
106,34 unequal: No Solution
Exploring Operation: 92-14=78, Resulting Numbers: [78]
78,34 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: 34:[63, 49, 88], Operations: ['90-2=88']
Exploring Operation: 88-49=39, Resulting Numbers: [63, 39]
Generated Node #0,0,0: 34:[63, 39] Operation: 88-49=39
Exploring Operation: 63+88=151, Resulting Numbers: [49, 151]
Generated Node #0,0,1: 34:[49, 151] Operation: 63+88=151
Exploring Operation: 88-63=25, Resulting Numbers: [49, 25]
Generated Node #0,0,2: 34:[49, 25] Operation: 88-63=25
Exploring Operation: 63-49=14, Resulting Numbers: [88, 14]
Generated Node #0,0,3: 34:[88, 14] Operation: 63-49=14
Exploring Operation: 63+49=112, Resulting Numbers: [88, 112]
Generated Node #0,0,4: 34:[88, 112] Operation: 63+49=112
Moving to Node #0,4,4
Current State: 34:[2, 22], Operations: ['90-49=41', '63-41=22']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,34 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Moving to Node #0,0,2
Current State: 34:[49, 25], Operations: ['90-2=88', '88-63=25']
Exploring Operation: 49*25=1225, Resulting Numbers: [1225]
1225,34 unequal: No Solution
Exploring Operation: 49+25=74, Resulting Numbers: [74]
74,34 unequal: No Solution
Exploring Operation: 49-25=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[63, 39], Operations: ['90-2=88', '88-49=39']
Exploring Operation: 63-39=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 63+39=102, Resulting Numbers: [102]
102,34 unequal: No Solution
Exploring Operation: 63*39=2457, Resulting Numbers: [2457]
2457,34 unequal: No Solution
Moving to Node #0,4,1
Current State: 34:[41, 61], Operations: ['90-49=41', '63-2=61']
Exploring Operation: 41*61=2501, Resulting Numbers: [2501]
2501,34 unequal: No Solution
Exploring Operation: 41+61=102, Resulting Numbers: [102]
102,34 unequal: No Solution
Exploring Operation: 61-41=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Moving to Node #0,4,0
Current State: 34:[63, 39], Operations: ['90-49=41', '41-2=39']
Exploring Operation: 63-39=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 63*39=2457, Resulting Numbers: [2457]
2457,34 unequal: No Solution
Exploring Operation: 63+39=102, Resulting Numbers: [102]
102,34 unequal: No Solution
Moving to Node #0,4,3
Current State: 34:[63, 43], Operations: ['90-49=41', '2+41=43']
Exploring Operation: 63-43=20, Resulting Numbers: [20]
20,34 unequal: No Solution
Exploring Operation: 63*43=2709, Resulting Numbers: [2709]
2709,34 unequal: No Solution
Exploring Operation: 63+43=106, Resulting Numbers: [106]
106,34 unequal: No Solution
Moving to Node #0,4,2
Current State: 34:[41, 65], Operations: ['90-49=41', '63+2=65']
Exploring Operation: 41*65=2665, Resulting Numbers: [2665]
2665,34 unequal: No Solution
Exploring Operation: 65-41=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 41+65=106, Resulting Numbers: [106]
106,34 unequal: No Solution
Moving to Node #0,0,3
Current State: 34:[88, 14], Operations: ['90-2=88', '63-49=14']
Exploring Operation: 88+14=102, Resulting Numbers: [102]
102,34 unequal: No Solution
Exploring Operation: 88-14=74, Resulting Numbers: [74]
74,34 unequal: No Solution
Exploring Operation: 88*14=1232, Resulting Numbers: [1232]
1232,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[49, 151], Operations: ['90-2=88', '63+88=151']
Exploring Operation: 49+151=200, Resulting Numbers: [200]
200,34 unequal: No Solution
Exploring Operation: 49*151=7399, Resulting Numbers: [7399]
7399,34 unequal: No Solution
Exploring Operation: 151-49=102, Resulting Numbers: [102]
102,34 unequal: No Solution
Moving to Node #0,0,4
Current State: 34:[88, 112], Operations: ['90-2=88', '63+49=112']
Exploring Operation: 112-88=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 88*112=9856, Resulting Numbers: [9856]
9856,34 unequal: No Solution
Exploring Operation: 88+112=200, Resulting Numbers: [200]
200,34 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
84,
70,
20,
80
] | 98 | [
"84*70=5880",
"80-20=60",
"5880/60=98"
] | Current State: 98:[84, 70, 20, 80], Operations: []
Exploring Operation: 84*70=5880, Resulting Numbers: [20, 80, 5880]
Generated Node #2: [20, 80, 5880] from Operation: 84*70=5880
Current State: 98:[20, 80, 5880], Operations: ['84*70=5880']
Exploring Operation: 80-20=60, Resulting Numbers: [5880, 60]
Generated Node #3: [5880, 60] from Operation: 80-20=60
Current State: 98:[5880, 60], Operations: ['84*70=5880', '80-20=60']
Exploring Operation: 5880/60=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[84, 70, 20, 80], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [70, 20, 4]
Generated Node #0,0: 98:[70, 20, 4] Operation: 84-80=4
Exploring Operation: 80-70=10, Resulting Numbers: [84, 20, 10]
Generated Node #0,1: 98:[84, 20, 10] Operation: 80-70=10
Exploring Operation: 84-70=14, Resulting Numbers: [20, 80, 14]
Generated Node #0,2: 98:[20, 80, 14] Operation: 84-70=14
Start Sub Search at level 1: Moving to Node #0,1
Current State: 98:[84, 20, 10], Operations: ['80-70=10']
Exploring Operation: 84+10=94, Resulting Numbers: [20, 94]
Generated Node #0,1,0: 98:[20, 94] Operation: 84+10=94
Exploring Operation: 84+20=104, Resulting Numbers: [10, 104]
Generated Node #0,1,1: 98:[10, 104] Operation: 84+20=104
Exploring Operation: 20/10=2, Resulting Numbers: [84, 2]
Generated Node #0,1,2: 98:[84, 2] Operation: 20/10=2
Moving to Node #0,1,1
Current State: 98:[10, 104], Operations: ['80-70=10', '84+20=104']
Exploring Operation: 104-10=94, Resulting Numbers: [94]
94,98 unequal: No Solution
Exploring Operation: 10*104=1040, Resulting Numbers: [1040]
1040,98 unequal: No Solution
Exploring Operation: 10+104=114, Resulting Numbers: [114]
114,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[20, 94], Operations: ['80-70=10', '84+10=94']
Exploring Operation: 20*94=1880, Resulting Numbers: [1880]
1880,98 unequal: No Solution
Exploring Operation: 20+94=114, Resulting Numbers: [114]
114,98 unequal: No Solution
Exploring Operation: 94-20=74, Resulting Numbers: [74]
74,98 unequal: No Solution
Moving to Node #0,1,2
Current State: 98:[84, 2], Operations: ['80-70=10', '20/10=2']
Exploring Operation: 84+2=86, Resulting Numbers: [86]
86,98 unequal: No Solution
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,98 unequal: No Solution
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,98 unequal: No Solution
No 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: 98:[20, 80, 14], Operations: ['84-70=14']
Exploring Operation: 20+80=100, Resulting Numbers: [14, 100]
Generated Node #0,2,0: 98:[14, 100] Operation: 20+80=100
Exploring Operation: 80/20=4, Resulting Numbers: [14, 4]
Generated Node #0,2,1: 98:[14, 4] Operation: 80/20=4
Exploring Operation: 80+14=94, Resulting Numbers: [20, 94]
Generated Node #0,2,2: 98:[20, 94] Operation: 80+14=94
Moving to Node #0,2,0
Current State: 98:[14, 100], Operations: ['84-70=14', '20+80=100']
Exploring Operation: 100-14=86, Resulting Numbers: [86]
86,98 unequal: No Solution
Exploring Operation: 14*100=1400, Resulting Numbers: [1400]
1400,98 unequal: No Solution
Exploring Operation: 14+100=114, Resulting Numbers: [114]
114,98 unequal: No Solution
Moving to Node #0,2,1
Current State: 98:[14, 4], Operations: ['84-70=14', '80/20=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,98 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,98 unequal: No Solution
Moving to Node #0,2,2
Current State: 98:[20, 94], Operations: ['84-70=14', '80+14=94']
Exploring Operation: 20+94=114, Resulting Numbers: [114]
114,98 unequal: No Solution
Exploring Operation: 20*94=1880, Resulting Numbers: [1880]
1880,98 unequal: No Solution
Exploring Operation: 94-20=74, Resulting Numbers: [74]
74,98 unequal: No Solution
No 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: 98:[70, 20, 4], Operations: ['84-80=4']
Exploring Operation: 70+20=90, Resulting Numbers: [4, 90]
Generated Node #0,0,0: 98:[4, 90] Operation: 70+20=90
Exploring Operation: 70-20=50, Resulting Numbers: [4, 50]
Generated Node #0,0,1: 98:[4, 50] Operation: 70-20=50
Exploring Operation: 70-4=66, Resulting Numbers: [20, 66]
Generated Node #0,0,2: 98:[20, 66] Operation: 70-4=66
Moving to Node #0,0,1
Current State: 98:[4, 50], Operations: ['84-80=4', '70-20=50']
Exploring Operation: 4*50=200, Resulting Numbers: [200]
200,98 unequal: No Solution
Exploring Operation: 4+50=54, Resulting Numbers: [54]
54,98 unequal: No Solution
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,98 unequal: No Solution
Moving to Node #0,0,0
Current State: 98:[4, 90], Operations: ['84-80=4', '70+20=90']
Exploring Operation: 4+90=94, Resulting Numbers: [94]
94,98 unequal: No Solution
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,98 unequal: No Solution
Exploring Operation: 4*90=360, Resulting Numbers: [360]
360,98 unequal: No Solution
Moving to Node #0,0,2
Current State: 98:[20, 66], Operations: ['84-80=4', '70-4=66']
Exploring Operation: 20+66=86, Resulting Numbers: [86]
86,98 unequal: No Solution
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,98 unequal: No Solution
Exploring Operation: 20*66=1320, Resulting Numbers: [1320]
1320,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
27,
58,
16,
32
] | 37 | [
"27+58=85",
"16+32=48",
"85-48=37"
] | Current State: 37:[27, 58, 16, 32], Operations: []
Exploring Operation: 27+58=85, Resulting Numbers: [16, 32, 85]
Generated Node #2: [16, 32, 85] from Operation: 27+58=85
Current State: 37:[16, 32, 85], Operations: ['27+58=85']
Exploring Operation: 16+32=48, Resulting Numbers: [85, 48]
Generated Node #3: [85, 48] from Operation: 16+32=48
Current State: 37:[85, 48], Operations: ['27+58=85', '16+32=48']
Exploring Operation: 85-48=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[27, 58, 16, 32], Operations: []
Exploring Operation: 58-27=31, Resulting Numbers: [16, 32, 31]
Generated Node #0,0: 37:[16, 32, 31] Operation: 58-27=31
Exploring Operation: 58-16=42, Resulting Numbers: [27, 32, 42]
Generated Node #0,1: 37:[27, 32, 42] Operation: 58-16=42
Exploring Operation: 27+16=43, Resulting Numbers: [58, 32, 43]
Generated Node #0,2: 37:[58, 32, 43] Operation: 27+16=43
Exploring Operation: 58-32=26, Resulting Numbers: [27, 16, 26]
Generated Node #0,3: 37:[27, 16, 26] Operation: 58-32=26
Moving to Node #0,1
Current State: 37:[27, 32, 42], Operations: ['58-16=42']
Exploring Operation: 42-27=15, Resulting Numbers: [32, 15]
Generated Node #0,1,0: 37:[32, 15] Operation: 42-27=15
Exploring Operation: 27+32=59, Resulting Numbers: [42, 59]
Generated Node #0,1,1: 37:[42, 59] Operation: 27+32=59
Exploring Operation: 27+42=69, Resulting Numbers: [32, 69]
Generated Node #0,1,2: 37:[32, 69] Operation: 27+42=69
Exploring Operation: 32-27=5, Resulting Numbers: [42, 5]
Generated Node #0,1,3: 37:[42, 5] Operation: 32-27=5
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 37:[32, 15], Operations: ['58-16=42', '42-27=15']
Exploring Operation: 32*15=480, Resulting Numbers: [480]
480,37 unequal: No Solution
Exploring Operation: 32+15=47, Resulting Numbers: [47]
47,37 unequal: No Solution
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 37:[42, 59], Operations: ['58-16=42', '27+32=59']
Exploring Operation: 42*59=2478, Resulting Numbers: [2478]
2478,37 unequal: No Solution
Exploring Operation: 42+59=101, Resulting Numbers: [101]
101,37 unequal: No Solution
Exploring Operation: 59-42=17, Resulting Numbers: [17]
17,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 37:[32, 69], Operations: ['58-16=42', '27+42=69']
Exploring Operation: 69-32=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[27, 58, 16, 32], Operations: []
Exploring Operation: 58-16=42, Resulting Numbers: [27, 32, 42]
Generated Node #0,1: 37:[27, 32, 42] Operation: 58-16=42
Moving to Node #0,1
Current State: 37:[27, 32, 42], Operations: ['58-16=42']
Exploring Operation: 27+42=69, Resulting Numbers: [32, 69]
Generated Node #0,1,2: 37:[32, 69] Operation: 27+42=69
Moving to Node #0,1,2
Current State: 37:[32, 69], Operations: ['58-16=42', '27+42=69']
Exploring Operation: 69-32=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | mult_heuristic |
[
42,
6,
93,
72
] | 57 | [
"42-6=36",
"93-72=21",
"36+21=57"
] | Current State: 57:[42, 6, 93, 72], Operations: []
Exploring Operation: 42-6=36, Resulting Numbers: [93, 72, 36]
Generated Node #2: [93, 72, 36] from Operation: 42-6=36
Current State: 57:[93, 72, 36], Operations: ['42-6=36']
Exploring Operation: 93-72=21, Resulting Numbers: [36, 21]
Generated Node #3: [36, 21] from Operation: 93-72=21
Current State: 57:[36, 21], Operations: ['42-6=36', '93-72=21']
Exploring Operation: 36+21=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[42, 6, 93, 72], Operations: []
Exploring Operation: 93-42=51, Resulting Numbers: [6, 72, 51]
Generated Node #0,0: 57:[6, 72, 51] Operation: 93-42=51
Exploring Operation: 93-72=21, Resulting Numbers: [42, 6, 21]
Generated Node #0,1: 57:[42, 6, 21] Operation: 93-72=21
Exploring Operation: 72-42=30, Resulting Numbers: [6, 93, 30]
Generated Node #0,2: 57:[6, 93, 30] Operation: 72-42=30
Exploring Operation: 42/6=7, Resulting Numbers: [93, 72, 7]
Generated Node #0,3: 57:[93, 72, 7] Operation: 42/6=7
Exploring Operation: 72/6=12, Resulting Numbers: [42, 93, 12]
Generated Node #0,4: 57:[42, 93, 12] Operation: 72/6=12
Moving to Node #0,1
Current State: 57:[42, 6, 21], Operations: ['93-72=21']
Exploring Operation: 42+6=48, Resulting Numbers: [21, 48]
Generated Node #0,1,0: 57:[21, 48] Operation: 42+6=48
Exploring Operation: 42/6=7, Resulting Numbers: [21, 7]
Generated Node #0,1,1: 57:[21, 7] Operation: 42/6=7
Exploring Operation: 42/21=2, Resulting Numbers: [6, 2]
Generated Node #0,1,2: 57:[6, 2] Operation: 42/21=2
Exploring Operation: 42-21=21, Resulting Numbers: [6, 21]
Generated Node #0,1,3: 57:[6, 21] Operation: 42-21=21
Exploring Operation: 42+21=63, Resulting Numbers: [6, 63]
Generated Node #0,1,4: 57:[6, 63] Operation: 42+21=63
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 57:[6, 2], Operations: ['93-72=21', '42/21=2']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,57 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,57 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,57 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 #0,1,3
Current State: 57:[6, 21], Operations: ['93-72=21', '42-21=21']
Exploring Operation: 6*21=126, Resulting Numbers: [126]
126,57 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,57 unequal: No Solution
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,57 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 #0,1,1
Current State: 57:[21, 7], Operations: ['93-72=21', '42/6=7']
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,57 unequal: No Solution
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 21*7=147, Resulting Numbers: [147]
147,57 unequal: No Solution
Exploring Operation: 21+7=28, Resulting Numbers: [28]
28,57 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 #0,1,4
Current State: 57:[6, 63], Operations: ['93-72=21', '42+21=63']
Exploring Operation: 6*63=378, Resulting Numbers: [378]
378,57 unequal: No Solution
Exploring Operation: 6+63=69, Resulting Numbers: [69]
69,57 unequal: No Solution
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[42, 6, 93, 72], Operations: []
Exploring Operation: 93-72=21, Resulting Numbers: [42, 6, 21]
Generated Node #0,1: 57:[42, 6, 21] Operation: 93-72=21
Moving to Node #0,1
Current State: 57:[42, 6, 21], Operations: ['93-72=21']
Exploring Operation: 42+21=63, Resulting Numbers: [6, 63]
Generated Node #0,1,4: 57:[6, 63] Operation: 42+21=63
Moving to Node #0,1,4
Current State: 57:[6, 63], Operations: ['93-72=21', '42+21=63']
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_5 | mult_heuristic |
[
85,
29,
33,
45
] | 36 | [
"85+29=114",
"33+45=78",
"114-78=36"
] | Current State: 36:[85, 29, 33, 45], Operations: []
Exploring Operation: 85+29=114, Resulting Numbers: [33, 45, 114]
Generated Node #2: [33, 45, 114] from Operation: 85+29=114
Current State: 36:[33, 45, 114], Operations: ['85+29=114']
Exploring Operation: 33+45=78, Resulting Numbers: [114, 78]
Generated Node #3: [114, 78] from Operation: 33+45=78
Current State: 36:[114, 78], Operations: ['85+29=114', '33+45=78']
Exploring Operation: 114-78=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[85, 29, 33, 45], Operations: []
Exploring Operation: 45-29=16, Resulting Numbers: [85, 33, 16]
Generated Node #0,0: 36:[85, 33, 16] Operation: 45-29=16
Exploring Operation: 85-33=52, Resulting Numbers: [29, 45, 52]
Generated Node #0,1: 36:[29, 45, 52] Operation: 85-33=52
Exploring Operation: 85-29=56, Resulting Numbers: [33, 45, 56]
Generated Node #0,2: 36:[33, 45, 56] Operation: 85-29=56
Exploring Operation: 85-45=40, Resulting Numbers: [29, 33, 40]
Generated Node #0,3: 36:[29, 33, 40] Operation: 85-45=40
Start Sub Search at level 1: Moving to Node #0,3
Current State: 36:[29, 33, 40], Operations: ['85-45=40']
Exploring Operation: 33-29=4, Resulting Numbers: [40, 4]
Generated Node #0,3,0: 36:[40, 4] Operation: 33-29=4
Exploring Operation: 40-29=11, Resulting Numbers: [33, 11]
Generated Node #0,3,1: 36:[33, 11] Operation: 40-29=11
Exploring Operation: 29+33=62, Resulting Numbers: [40, 62]
Generated Node #0,3,2: 36:[40, 62] Operation: 29+33=62
Exploring Operation: 40-33=7, Resulting Numbers: [29, 7]
Generated Node #0,3,3: 36:[29, 7] Operation: 40-33=7
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 36:[40, 4], Operations: ['85-45=40', '33-29=4']
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[85, 29, 33, 45], Operations: []
Exploring Operation: 85-45=40, Resulting Numbers: [29, 33, 40]
Generated Node #0,3: 36:[29, 33, 40] Operation: 85-45=40
Moving to Node #0,3
Current State: 36:[29, 33, 40], Operations: ['85-45=40']
Exploring Operation: 33-29=4, Resulting Numbers: [40, 4]
Generated Node #0,3,0: 36:[40, 4] Operation: 33-29=4
Moving to Node #0,3,0
Current State: 36:[40, 4], Operations: ['85-45=40', '33-29=4']
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
69,
47,
86,
17
] | 81 | [
"69-47=22",
"86+17=103",
"103-22=81"
] | Current State: 81:[69, 47, 86, 17], Operations: []
Exploring Operation: 69-47=22, Resulting Numbers: [86, 17, 22]
Generated Node #2: [86, 17, 22] from Operation: 69-47=22
Current State: 81:[86, 17, 22], Operations: ['69-47=22']
Exploring Operation: 86+17=103, Resulting Numbers: [22, 103]
Generated Node #3: [22, 103] from Operation: 86+17=103
Current State: 81:[22, 103], Operations: ['69-47=22', '86+17=103']
Exploring Operation: 103-22=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[69, 47, 86, 17], Operations: []
Exploring Operation: 47-17=30, Resulting Numbers: [69, 86, 30]
Generated Node #0,0: 81:[69, 86, 30] Operation: 47-17=30
Exploring Operation: 69-47=22, Resulting Numbers: [86, 17, 22]
Generated Node #0,1: 81:[86, 17, 22] Operation: 69-47=22
Moving to Node #0,1
Current State: 81:[86, 17, 22], Operations: ['69-47=22']
Exploring Operation: 86-17=69, Resulting Numbers: [22, 69]
Generated Node #0,1,0: 81:[22, 69] Operation: 86-17=69
Exploring Operation: 22-17=5, Resulting Numbers: [86, 5]
Generated Node #0,1,1: 81:[86, 5] Operation: 22-17=5
Moving to Node #0,0
Current State: 81:[69, 86, 30], Operations: ['47-17=30']
Exploring Operation: 69-30=39, Resulting Numbers: [86, 39]
Generated Node #0,0,0: 81:[86, 39] Operation: 69-30=39
Exploring Operation: 86-69=17, Resulting Numbers: [30, 17]
Generated Node #0,0,1: 81:[30, 17] Operation: 86-69=17
Moving to Node #0,1,1
Current State: 81:[86, 5], Operations: ['69-47=22', '22-17=5']
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[69, 47, 86, 17], Operations: []
Exploring Operation: 69-47=22, Resulting Numbers: [86, 17, 22]
Generated Node #0,1: 81:[86, 17, 22] Operation: 69-47=22
Moving to Node #0,1
Current State: 81:[86, 17, 22], Operations: ['69-47=22']
Exploring Operation: 22-17=5, Resulting Numbers: [86, 5]
Generated Node #0,1,1: 81:[86, 5] Operation: 22-17=5
Moving to Node #0,1,1
Current State: 81:[86, 5], Operations: ['69-47=22', '22-17=5']
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 0.990451 | hs_2 | mult_heuristic |
[
83,
16,
58,
50
] | 59 | [
"83-16=67",
"58-50=8",
"67-8=59"
] | Current State: 59:[83, 16, 58, 50], Operations: []
Exploring Operation: 83-16=67, Resulting Numbers: [58, 50, 67]
Generated Node #2: [58, 50, 67] from Operation: 83-16=67
Current State: 59:[58, 50, 67], Operations: ['83-16=67']
Exploring Operation: 58-50=8, Resulting Numbers: [67, 8]
Generated Node #3: [67, 8] from Operation: 58-50=8
Current State: 59:[67, 8], Operations: ['83-16=67', '58-50=8']
Exploring Operation: 67-8=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[83, 16, 58, 50], Operations: []
Exploring Operation: 16+58=74, Resulting Numbers: [83, 50, 74]
Generated Node #0,0: 59:[83, 50, 74] Operation: 16+58=74
Exploring Operation: 16+50=66, Resulting Numbers: [83, 58, 66]
Generated Node #0,1: 59:[83, 58, 66] Operation: 16+50=66
Exploring Operation: 83-16=67, Resulting Numbers: [58, 50, 67]
Generated Node #0,2: 59:[58, 50, 67] Operation: 83-16=67
Exploring Operation: 83+16=99, Resulting Numbers: [58, 50, 99]
Generated Node #0,3: 59:[58, 50, 99] Operation: 83+16=99
Moving to Node #0,2
Current State: 59:[58, 50, 67], Operations: ['83-16=67']
Exploring Operation: 58+50=108, Resulting Numbers: [67, 108]
Generated Node #0,2,0: 59:[67, 108] Operation: 58+50=108
Exploring Operation: 67-58=9, Resulting Numbers: [50, 9]
Generated Node #0,2,1: 59:[50, 9] Operation: 67-58=9
Exploring Operation: 58-50=8, Resulting Numbers: [67, 8]
Generated Node #0,2,2: 59:[67, 8] Operation: 58-50=8
Exploring Operation: 67-50=17, Resulting Numbers: [58, 17]
Generated Node #0,2,3: 59:[58, 17] Operation: 67-50=17
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 59:[58, 17], Operations: ['83-16=67', '67-50=17']
Exploring Operation: 58*17=986, Resulting Numbers: [986]
986,59 unequal: No Solution
Exploring Operation: 58+17=75, Resulting Numbers: [75]
75,59 unequal: No Solution
Exploring Operation: 58-17=41, Resulting Numbers: [41]
41,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 59:[67, 108], Operations: ['83-16=67', '58+50=108']
Exploring Operation: 67*108=7236, Resulting Numbers: [7236]
7236,59 unequal: No Solution
Exploring Operation: 67+108=175, Resulting Numbers: [175]
175,59 unequal: No Solution
Exploring Operation: 108-67=41, Resulting Numbers: [41]
41,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 59:[50, 9], Operations: ['83-16=67', '67-58=9']
Exploring Operation: 50*9=450, Resulting Numbers: [450]
450,59 unequal: No Solution
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,59 unequal: No Solution
Exploring Operation: 50+9=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[83, 16, 58, 50], Operations: []
Exploring Operation: 83-16=67, Resulting Numbers: [58, 50, 67]
Generated Node #0,2: 59:[58, 50, 67] Operation: 83-16=67
Moving to Node #0,2
Current State: 59:[58, 50, 67], Operations: ['83-16=67']
Exploring Operation: 67-58=9, Resulting Numbers: [50, 9]
Generated Node #0,2,1: 59:[50, 9] Operation: 67-58=9
Moving to Node #0,2,1
Current State: 59:[50, 9], Operations: ['83-16=67', '67-58=9']
Exploring Operation: 50+9=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
95,
88,
47,
58
] | 87 | [
"58-47=11",
"88/11=8",
"95-8=87"
] | Current State: 87:[95, 88, 47, 58], Operations: []
Exploring Operation: 58-47=11, Resulting Numbers: [95, 88, 11]
Generated Node #2: [95, 88, 11] from Operation: 58-47=11
Current State: 87:[95, 88, 11], Operations: ['58-47=11']
Exploring Operation: 88/11=8, Resulting Numbers: [95, 8]
Generated Node #3: [95, 8] from Operation: 88/11=8
Current State: 87:[95, 8], Operations: ['58-47=11', '88/11=8']
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[95, 88, 47, 58], Operations: []
Exploring Operation: 58-47=11, Resulting Numbers: [95, 88, 11]
Generated Node #0,0: 87:[95, 88, 11] Operation: 58-47=11
Exploring Operation: 88-58=30, Resulting Numbers: [95, 47, 30]
Generated Node #0,1: 87:[95, 47, 30] Operation: 88-58=30
Exploring Operation: 95-58=37, Resulting Numbers: [88, 47, 37]
Generated Node #0,2: 87:[88, 47, 37] Operation: 95-58=37
Moving to Node #0,0
Current State: 87:[95, 88, 11], Operations: ['58-47=11']
Exploring Operation: 95-88=7, Resulting Numbers: [11, 7]
Generated Node #0,0,0: 87:[11, 7] Operation: 95-88=7
Exploring Operation: 95-11=84, Resulting Numbers: [88, 84]
Generated Node #0,0,1: 87:[88, 84] Operation: 95-11=84
Exploring Operation: 88/11=8, Resulting Numbers: [95, 8]
Generated Node #0,0,2: 87:[95, 8] Operation: 88/11=8
Moving to Node #0,1
Current State: 87:[95, 47, 30], Operations: ['88-58=30']
Exploring Operation: 47+30=77, Resulting Numbers: [95, 77]
Generated Node #0,1,0: 87:[95, 77] Operation: 47+30=77
Exploring Operation: 47-30=17, Resulting Numbers: [95, 17]
Generated Node #0,1,1: 87:[95, 17] Operation: 47-30=17
Exploring Operation: 95-47=48, Resulting Numbers: [30, 48]
Generated Node #0,1,2: 87:[30, 48] Operation: 95-47=48
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 87:[95, 77], Operations: ['88-58=30', '47+30=77']
Exploring Operation: 95-77=18, Resulting Numbers: [18]
18,87 unequal: No Solution
Exploring Operation: 95*77=7315, Resulting Numbers: [7315]
7315,87 unequal: No Solution
Exploring Operation: 95+77=172, Resulting Numbers: [172]
172,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 87:[95, 17], Operations: ['88-58=30', '47-30=17']
Exploring Operation: 95-17=78, Resulting Numbers: [78]
78,87 unequal: No Solution
Exploring Operation: 95*17=1615, Resulting Numbers: [1615]
1615,87 unequal: No Solution
Exploring Operation: 95+17=112, Resulting Numbers: [112]
112,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 87:[30, 48], Operations: ['88-58=30', '95-47=48']
Exploring Operation: 30*48=1440, Resulting Numbers: [1440]
1440,87 unequal: No Solution
Exploring Operation: 30+48=78, Resulting Numbers: [78]
78,87 unequal: No Solution
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,87 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: 87:[88, 47, 37], Operations: ['95-58=37']
Exploring Operation: 47+37=84, Resulting Numbers: [88, 84]
Generated Node #0,2,0: 87:[88, 84] Operation: 47+37=84
Exploring Operation: 88-47=41, Resulting Numbers: [37, 41]
Generated Node #0,2,1: 87:[37, 41] Operation: 88-47=41
Exploring Operation: 47-37=10, Resulting Numbers: [88, 10]
Generated Node #0,2,2: 87:[88, 10] Operation: 47-37=10
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 87:[88, 84], Operations: ['95-58=37', '47+37=84']
Exploring Operation: 88*84=7392, Resulting Numbers: [7392]
7392,87 unequal: No Solution
Exploring Operation: 88-84=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 88+84=172, Resulting Numbers: [172]
172,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 87:[88, 10], Operations: ['95-58=37', '47-37=10']
Exploring Operation: 88*10=880, Resulting Numbers: [880]
880,87 unequal: No Solution
Exploring Operation: 88-10=78, Resulting Numbers: [78]
78,87 unequal: No Solution
Exploring Operation: 88+10=98, Resulting Numbers: [98]
98,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 87:[37, 41], Operations: ['95-58=37', '88-47=41']
Exploring Operation: 37+41=78, Resulting Numbers: [78]
78,87 unequal: No Solution
Exploring Operation: 41-37=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 37*41=1517, Resulting Numbers: [1517]
1517,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 87:[88, 84], Operations: ['58-47=11', '95-11=84']
Exploring Operation: 88-84=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 88*84=7392, Resulting Numbers: [7392]
7392,87 unequal: No Solution
Exploring Operation: 88+84=172, Resulting Numbers: [172]
172,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[11, 7], Operations: ['58-47=11', '95-88=7']
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,87 unequal: No Solution
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,87 unequal: No Solution
Moving to Node #0,0,2
Current State: 87:[95, 8], Operations: ['58-47=11', '88/11=8']
Exploring Operation: 95*8=760, Resulting Numbers: [760]
760,87 unequal: No Solution
Exploring Operation: 95+8=103, Resulting Numbers: [103]
103,87 unequal: No Solution
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[95, 88, 47, 58], Operations: []
Exploring Operation: 58-47=11, Resulting Numbers: [95, 88, 11]
Generated Node #0,0: 87:[95, 88, 11] Operation: 58-47=11
Moving to Node #0,0
Current State: 87:[95, 88, 11], Operations: ['58-47=11']
Exploring Operation: 88/11=8, Resulting Numbers: [95, 8]
Generated Node #0,0,2: 87:[95, 8] Operation: 88/11=8
Moving to Node #0,0,2
Current State: 87:[95, 8], Operations: ['58-47=11', '88/11=8']
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 0.962674 | hs_3 | mult_heuristic |
[
19,
9,
58,
26
] | 53 | [
"19+26=45",
"45/9=5",
"58-5=53"
] | Current State: 53:[19, 9, 58, 26], Operations: []
Exploring Operation: 19+26=45, Resulting Numbers: [9, 58, 45]
Generated Node #2: [9, 58, 45] from Operation: 19+26=45
Current State: 53:[9, 58, 45], Operations: ['19+26=45']
Exploring Operation: 45/9=5, Resulting Numbers: [58, 5]
Generated Node #3: [58, 5] from Operation: 45/9=5
Current State: 53:[58, 5], Operations: ['19+26=45', '45/9=5']
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[19, 9, 58, 26], Operations: []
Exploring Operation: 19+9=28, Resulting Numbers: [58, 26, 28]
Generated Node #0,0: 53:[58, 26, 28] Operation: 19+9=28
Exploring Operation: 19+26=45, Resulting Numbers: [9, 58, 45]
Generated Node #0,1: 53:[9, 58, 45] Operation: 19+26=45
Exploring Operation: 9+26=35, Resulting Numbers: [19, 58, 35]
Generated Node #0,2: 53:[19, 58, 35] Operation: 9+26=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[58, 26, 28], Operations: ['19+9=28']
Exploring Operation: 26+28=54, Resulting Numbers: [58, 54]
Generated Node #0,0,0: 53:[58, 54] Operation: 26+28=54
Exploring Operation: 58-26=32, Resulting Numbers: [28, 32]
Generated Node #0,0,1: 53:[28, 32] Operation: 58-26=32
Exploring Operation: 58-28=30, Resulting Numbers: [26, 30]
Generated Node #0,0,2: 53:[26, 30] Operation: 58-28=30
Moving to Node #0,0,0
Current State: 53:[58, 54], Operations: ['19+9=28', '26+28=54']
Exploring Operation: 58+54=112, Resulting Numbers: [112]
112,53 unequal: No Solution
Exploring Operation: 58-54=4, Resulting Numbers: [4]
4,53 unequal: No Solution
Exploring Operation: 58*54=3132, Resulting Numbers: [3132]
3132,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[28, 32], Operations: ['19+9=28', '58-26=32']
Exploring Operation: 28+32=60, Resulting Numbers: [60]
60,53 unequal: No Solution
Exploring Operation: 32-28=4, Resulting Numbers: [4]
4,53 unequal: No Solution
Exploring Operation: 28*32=896, Resulting Numbers: [896]
896,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[26, 30], Operations: ['19+9=28', '58-28=30']
Exploring Operation: 26+30=56, Resulting Numbers: [56]
56,53 unequal: No Solution
Exploring Operation: 26*30=780, Resulting Numbers: [780]
780,53 unequal: No Solution
Exploring Operation: 30-26=4, Resulting Numbers: [4]
4,53 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
Current State: 53:[9, 58, 45], Operations: ['19+26=45']
Exploring Operation: 9+58=67, Resulting Numbers: [45, 67]
Generated Node #0,1,0: 53:[45, 67] Operation: 9+58=67
Exploring Operation: 9+45=54, Resulting Numbers: [58, 54]
Generated Node #0,1,1: 53:[58, 54] Operation: 9+45=54
Exploring Operation: 58-9=49, Resulting Numbers: [45, 49]
Generated Node #0,1,2: 53:[45, 49] Operation: 58-9=49
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 53:[58, 54], Operations: ['19+26=45', '9+45=54']
Exploring Operation: 58-54=4, Resulting Numbers: [4]
4,53 unequal: No Solution
Exploring Operation: 58+54=112, Resulting Numbers: [112]
112,53 unequal: No Solution
Exploring Operation: 58*54=3132, Resulting Numbers: [3132]
3132,53 unequal: No Solution
No 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: 53:[45, 49], Operations: ['19+26=45', '58-9=49']
Exploring Operation: 49-45=4, Resulting Numbers: [4]
4,53 unequal: No Solution
Exploring Operation: 45*49=2205, Resulting Numbers: [2205]
2205,53 unequal: No Solution
Exploring Operation: 45+49=94, Resulting Numbers: [94]
94,53 unequal: No Solution
No 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: 53:[45, 67], Operations: ['19+26=45', '9+58=67']
Exploring Operation: 45*67=3015, Resulting Numbers: [3015]
3015,53 unequal: No Solution
Exploring Operation: 45+67=112, Resulting Numbers: [112]
112,53 unequal: No Solution
Exploring Operation: 67-45=22, Resulting Numbers: [22]
22,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 53:[19, 58, 35], Operations: ['9+26=35']
Exploring Operation: 19+35=54, Resulting Numbers: [58, 54]
Generated Node #0,2,0: 53:[58, 54] Operation: 19+35=54
Exploring Operation: 58-19=39, Resulting Numbers: [35, 39]
Generated Node #0,2,1: 53:[35, 39] Operation: 58-19=39
Exploring Operation: 19+58=77, Resulting Numbers: [35, 77]
Generated Node #0,2,2: 53:[35, 77] Operation: 19+58=77
Moving to Node #0,2,0
Current State: 53:[58, 54], Operations: ['9+26=35', '19+35=54']
Exploring Operation: 58-54=4, Resulting Numbers: [4]
4,53 unequal: No Solution
Exploring Operation: 58+54=112, Resulting Numbers: [112]
112,53 unequal: No Solution
Exploring Operation: 58*54=3132, Resulting Numbers: [3132]
3132,53 unequal: No Solution
Moving to Node #0,2,1
Current State: 53:[35, 39], Operations: ['9+26=35', '58-19=39']
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,53 unequal: No Solution
Exploring Operation: 35*39=1365, Resulting Numbers: [1365]
1365,53 unequal: No Solution
Exploring Operation: 35+39=74, Resulting Numbers: [74]
74,53 unequal: No Solution
Moving to Node #0,2,2
Current State: 53:[35, 77], Operations: ['9+26=35', '19+58=77']
Exploring Operation: 35+77=112, Resulting Numbers: [112]
112,53 unequal: No Solution
Exploring Operation: 35*77=2695, Resulting Numbers: [2695]
2695,53 unequal: No Solution
Exploring Operation: 77-35=42, Resulting Numbers: [42]
42,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
3,
36,
20,
6
] | 96 | [
"6-3=3",
"20*3=60",
"36+60=96"
] | Current State: 96:[3, 36, 20, 6], Operations: []
Exploring Operation: 6-3=3, Resulting Numbers: [36, 20, 3]
Generated Node #2: [36, 20, 3] from Operation: 6-3=3
Current State: 96:[36, 20, 3], Operations: ['6-3=3']
Exploring Operation: 20*3=60, Resulting Numbers: [36, 60]
Generated Node #3: [36, 60] from Operation: 20*3=60
Current State: 96:[36, 60], Operations: ['6-3=3', '20*3=60']
Exploring Operation: 36+60=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[3, 36, 20, 6], Operations: []
Exploring Operation: 36-20=16, Resulting Numbers: [3, 6, 16]
Generated Node #0,0: 96:[3, 6, 16] Operation: 36-20=16
Exploring Operation: 36/3=12, Resulting Numbers: [20, 6, 12]
Generated Node #0,1: 96:[20, 6, 12] Operation: 36/3=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[3, 6, 16], Operations: ['36-20=16']
Exploring Operation: 6-3=3, Resulting Numbers: [16, 3]
Generated Node #0,0,0: 96:[16, 3] Operation: 6-3=3
Exploring Operation: 6/3=2, Resulting Numbers: [16, 2]
Generated Node #0,0,1: 96:[16, 2] Operation: 6/3=2
Moving to Node #0,0,0
Current State: 96:[16, 3], Operations: ['36-20=16', '6-3=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,96 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[16, 2], Operations: ['36-20=16', '6/3=2']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,96 unequal: No Solution
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,96 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
Current State: 96:[20, 6, 12], Operations: ['36/3=12']
Exploring Operation: 20-12=8, Resulting Numbers: [6, 8]
Generated Node #0,1,0: 96:[6, 8] Operation: 20-12=8
Exploring Operation: 20+12=32, Resulting Numbers: [6, 32]
Generated Node #0,1,1: 96:[6, 32] Operation: 20+12=32
Moving to Node #0,1,0
Current State: 96:[6, 8], Operations: ['36/3=12', '20-12=8']
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,96 unequal: No Solution
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,96 unequal: No Solution
Moving to Node #0,1,1
Current State: 96:[6, 32], Operations: ['36/3=12', '20+12=32']
Exploring Operation: 6+32=38, Resulting Numbers: [38]
38,96 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,96 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 |
[
42,
37,
26,
28
] | 16 | [
"28-26=2",
"42/2=21",
"37-21=16"
] | Current State: 16:[42, 37, 26, 28], Operations: []
Exploring Operation: 28-26=2, Resulting Numbers: [42, 37, 2]
Generated Node #2: [42, 37, 2] from Operation: 28-26=2
Current State: 16:[42, 37, 2], Operations: ['28-26=2']
Exploring Operation: 42/2=21, Resulting Numbers: [37, 21]
Generated Node #3: [37, 21] from Operation: 42/2=21
Current State: 16:[37, 21], Operations: ['28-26=2', '42/2=21']
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[42, 37, 26, 28], Operations: []
Exploring Operation: 42-28=14, Resulting Numbers: [37, 26, 14]
Generated Node #0,0: 16:[37, 26, 14] Operation: 42-28=14
Exploring Operation: 42-26=16, Resulting Numbers: [37, 28, 16]
Generated Node #0,1: 16:[37, 28, 16] Operation: 42-26=16
Exploring Operation: 42-37=5, Resulting Numbers: [26, 28, 5]
Generated Node #0,2: 16:[26, 28, 5] Operation: 42-37=5
Moving to Node #0,2
Current State: 16:[26, 28, 5], Operations: ['42-37=5']
Exploring Operation: 26-5=21, Resulting Numbers: [28, 21]
Generated Node #0,2,0: 16:[28, 21] Operation: 26-5=21
Exploring Operation: 28-5=23, Resulting Numbers: [26, 23]
Generated Node #0,2,1: 16:[26, 23] Operation: 28-5=23
Exploring Operation: 28-26=2, Resulting Numbers: [5, 2]
Generated Node #0,2,2: 16:[5, 2] Operation: 28-26=2
Moving to Node #0,0
Current State: 16:[37, 26, 14], Operations: ['42-28=14']
Exploring Operation: 37-26=11, Resulting Numbers: [14, 11]
Generated Node #0,0,0: 16:[14, 11] Operation: 37-26=11
Exploring Operation: 26-14=12, Resulting Numbers: [37, 12]
Generated Node #0,0,1: 16:[37, 12] Operation: 26-14=12
Exploring Operation: 37-14=23, Resulting Numbers: [26, 23]
Generated Node #0,0,2: 16:[26, 23] Operation: 37-14=23
Moving to Node #0,1
Current State: 16:[37, 28, 16], Operations: ['42-26=16']
Exploring Operation: 37-16=21, Resulting Numbers: [28, 21]
Generated Node #0,1,0: 16:[28, 21] Operation: 37-16=21
Exploring Operation: 28-16=12, Resulting Numbers: [37, 12]
Generated Node #0,1,1: 16:[37, 12] Operation: 28-16=12
Exploring Operation: 37-28=9, Resulting Numbers: [16, 9]
Generated Node #0,1,2: 16:[16, 9] Operation: 37-28=9
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 16:[16, 9], Operations: ['42-26=16', '37-28=9']
Exploring Operation: 16+9=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 16*9=144, Resulting Numbers: [144]
144,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 16:[28, 21], Operations: ['42-26=16', '37-16=21']
Exploring Operation: 28*21=588, Resulting Numbers: [588]
588,16 unequal: No Solution
Exploring Operation: 28-21=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 28+21=49, Resulting Numbers: [49]
49,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 16:[37, 12], Operations: ['42-26=16', '28-16=12']
Exploring Operation: 37+12=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 37*12=444, Resulting Numbers: [444]
444,16 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: 16:[5, 2], Operations: ['42-37=5', '28-26=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,16 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Moving to Node #0,0,0
Current State: 16:[14, 11], Operations: ['42-28=14', '37-26=11']
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,16 unequal: No Solution
Moving to Node #0,2,1
Current State: 16:[26, 23], Operations: ['42-37=5', '28-5=23']
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 26*23=598, Resulting Numbers: [598]
598,16 unequal: No Solution
Moving to Node #0,0,2
Current State: 16:[26, 23], Operations: ['42-28=14', '37-14=23']
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 26*23=598, Resulting Numbers: [598]
598,16 unequal: No Solution
Moving to Node #0,2,0
Current State: 16:[28, 21], Operations: ['42-37=5', '26-5=21']
Exploring Operation: 28-21=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 28+21=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 28*21=588, Resulting Numbers: [588]
588,16 unequal: No Solution
Moving to Node #0,0,1
Current State: 16:[37, 12], Operations: ['42-28=14', '26-14=12']
Exploring Operation: 37-12=25, Resulting Numbers: [25]
25,16 unequal: No Solution
Exploring Operation: 37*12=444, Resulting Numbers: [444]
444,16 unequal: No Solution
Exploring Operation: 37+12=49, Resulting Numbers: [49]
49,16 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
8,
6,
90,
27
] | 21 | [
"8*27=216",
"216-90=126",
"126/6=21"
] | Current State: 21:[8, 6, 90, 27], Operations: []
Exploring Operation: 8*27=216, Resulting Numbers: [6, 90, 216]
Generated Node #2: [6, 90, 216] from Operation: 8*27=216
Current State: 21:[6, 90, 216], Operations: ['8*27=216']
Exploring Operation: 216-90=126, Resulting Numbers: [6, 126]
Generated Node #3: [6, 126] from Operation: 216-90=126
Current State: 21:[6, 126], Operations: ['8*27=216', '216-90=126']
Exploring Operation: 126/6=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[8, 6, 90, 27], Operations: []
Exploring Operation: 90/6=15, Resulting Numbers: [8, 27, 15]
Generated Node #0,0: 21:[8, 27, 15] Operation: 90/6=15
Moving to Node #0,0
Current State: 21:[8, 27, 15], Operations: ['90/6=15']
Exploring Operation: 15-8=7, Resulting Numbers: [27, 7]
Generated Node #0,0,0: 21:[27, 7] Operation: 15-8=7
Moving to Node #0,0,0
Current State: 21:[27, 7], Operations: ['90/6=15', '15-8=7']
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,21 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
1,
64,
86,
15
] | 37 | [
"1*64=64",
"86+15=101",
"101-64=37"
] | Current State: 37:[1, 64, 86, 15], Operations: []
Exploring Operation: 1*64=64, Resulting Numbers: [86, 15, 64]
Generated Node #2: [86, 15, 64] from Operation: 1*64=64
Current State: 37:[86, 15, 64], Operations: ['1*64=64']
Exploring Operation: 86+15=101, Resulting Numbers: [64, 101]
Generated Node #3: [64, 101] from Operation: 86+15=101
Current State: 37:[64, 101], Operations: ['1*64=64', '86+15=101']
Exploring Operation: 101-64=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[1, 64, 86, 15], Operations: []
Exploring Operation: 86-64=22, Resulting Numbers: [1, 15, 22]
Generated Node #0,0: 37:[1, 15, 22] Operation: 86-64=22
Exploring Operation: 64-1=63, Resulting Numbers: [86, 15, 63]
Generated Node #0,1: 37:[86, 15, 63] Operation: 64-1=63
Moving to Node #0,0
Current State: 37:[1, 15, 22], Operations: ['86-64=22']
Exploring Operation: 1+22=23, Resulting Numbers: [15, 23]
Generated Node #0,0,0: 37:[15, 23] Operation: 1+22=23
Exploring Operation: 1+15=16, Resulting Numbers: [22, 16]
Generated Node #0,0,1: 37:[22, 16] Operation: 1+15=16
Moving to Node #0,1
Current State: 37:[86, 15, 63], Operations: ['64-1=63']
Exploring Operation: 86-63=23, Resulting Numbers: [15, 23]
Generated Node #0,1,0: 37:[15, 23] Operation: 86-63=23
Exploring Operation: 86-15=71, Resulting Numbers: [63, 71]
Generated Node #0,1,1: 37:[63, 71] Operation: 86-15=71
Moving to Node #0,0,0
Current State: 37:[15, 23], Operations: ['86-64=22', '1+22=23']
Exploring Operation: 15+23=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,37 unequal: No Solution
Moving to Node #0,1,0
Current State: 37:[15, 23], Operations: ['64-1=63', '86-63=23']
Exploring Operation: 23-15=8, Resulting Numbers: [8]
8,37 unequal: No Solution
Exploring Operation: 15+23=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[22, 16], Operations: ['86-64=22', '1+15=16']
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,37 unequal: No Solution
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[63, 71], Operations: ['64-1=63', '86-15=71']
Exploring Operation: 71-63=8, Resulting Numbers: [8]
8,37 unequal: No Solution
Exploring Operation: 63+71=134, Resulting Numbers: [134]
134,37 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
30,
90,
11,
4
] | 11 | [
"90/30=3",
"4-3=1",
"11*1=11"
] | Current State: 11:[30, 90, 11, 4], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [11, 4, 3]
Generated Node #2: [11, 4, 3] from Operation: 90/30=3
Current State: 11:[11, 4, 3], Operations: ['90/30=3']
Exploring Operation: 4-3=1, Resulting Numbers: [11, 1]
Generated Node #3: [11, 1] from Operation: 4-3=1
Current State: 11:[11, 1], Operations: ['90/30=3', '4-3=1']
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[30, 90, 11, 4], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [11, 4, 3]
Generated Node #0,0: 11:[11, 4, 3] Operation: 90/30=3
Exploring Operation: 90-30=60, Resulting Numbers: [11, 4, 60]
Generated Node #0,1: 11:[11, 4, 60] Operation: 90-30=60
Exploring Operation: 90-11=79, Resulting Numbers: [30, 4, 79]
Generated Node #0,2: 11:[30, 4, 79] Operation: 90-11=79
Exploring Operation: 30-4=26, Resulting Numbers: [90, 11, 26]
Generated Node #0,3: 11:[90, 11, 26] Operation: 30-4=26
Exploring Operation: 30-11=19, Resulting Numbers: [90, 4, 19]
Generated Node #0,4: 11:[90, 4, 19] Operation: 30-11=19
Moving to Node #0,0
Current State: 11:[11, 4, 3], Operations: ['90/30=3']
Exploring Operation: 11-3=8, Resulting Numbers: [4, 8]
Generated Node #0,0,0: 11:[4, 8] Operation: 11-3=8
Exploring Operation: 4+3=7, Resulting Numbers: [11, 7]
Generated Node #0,0,1: 11:[11, 7] Operation: 4+3=7
Exploring Operation: 11+3=14, Resulting Numbers: [4, 14]
Generated Node #0,0,2: 11:[4, 14] Operation: 11+3=14
Exploring Operation: 4-3=1, Resulting Numbers: [11, 1]
Generated Node #0,0,3: 11:[11, 1] Operation: 4-3=1
Exploring Operation: 4*3=12, Resulting Numbers: [11, 12]
Generated Node #0,0,4: 11:[11, 12] Operation: 4*3=12
Moving to Node #0,1
Current State: 11:[11, 4, 60], Operations: ['90-30=60']
Exploring Operation: 60-11=49, Resulting Numbers: [4, 49]
Generated Node #0,1,0: 11:[4, 49] Operation: 60-11=49
Exploring Operation: 11+4=15, Resulting Numbers: [60, 15]
Generated Node #0,1,1: 11:[60, 15] Operation: 11+4=15
Exploring Operation: 60-4=56, Resulting Numbers: [11, 56]
Generated Node #0,1,2: 11:[11, 56] Operation: 60-4=56
Exploring Operation: 11-4=7, Resulting Numbers: [60, 7]
Generated Node #0,1,3: 11:[60, 7] Operation: 11-4=7
Exploring Operation: 60/4=15, Resulting Numbers: [11, 15]
Generated Node #0,1,4: 11:[11, 15] Operation: 60/4=15
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 11:[11, 15], Operations: ['90-30=60', '60/4=15']
Exploring Operation: 11*15=165, Resulting Numbers: [165]
165,11 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 11+15=26, Resulting Numbers: [26]
26,11 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:[4, 49], Operations: ['90-30=60', '60-11=49']
Exploring Operation: 4+49=53, Resulting Numbers: [53]
53,11 unequal: No Solution
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Exploring Operation: 4*49=196, Resulting Numbers: [196]
196,11 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:[11, 56], Operations: ['90-30=60', '60-4=56']
Exploring Operation: 11+56=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Exploring Operation: 11*56=616, Resulting Numbers: [616]
616,11 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:[60, 15], Operations: ['90-30=60', '11+4=15']
Exploring Operation: 60/15=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 60*15=900, Resulting Numbers: [900]
900,11 unequal: No Solution
Exploring Operation: 60-15=45, Resulting Numbers: [45]
45,11 unequal: No Solution
Exploring Operation: 60+15=75, Resulting Numbers: [75]
75,11 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 #0,1,3
Current State: 11:[60, 7], Operations: ['90-30=60', '11-4=7']
Exploring Operation: 60*7=420, Resulting Numbers: [420]
420,11 unequal: No Solution
Exploring Operation: 60+7=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,11 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: 11:[30, 4, 79], Operations: ['90-11=79']
Exploring Operation: 30+4=34, Resulting Numbers: [79, 34]
Generated Node #0,2,0: 11:[79, 34] Operation: 30+4=34
Exploring Operation: 30-4=26, Resulting Numbers: [79, 26]
Generated Node #0,2,1: 11:[79, 26] Operation: 30-4=26
Exploring Operation: 4+79=83, Resulting Numbers: [30, 83]
Generated Node #0,2,2: 11:[30, 83] Operation: 4+79=83
Exploring Operation: 79-4=75, Resulting Numbers: [30, 75]
Generated Node #0,2,3: 11:[30, 75] Operation: 79-4=75
Exploring Operation: 79-30=49, Resulting Numbers: [4, 49]
Generated Node #0,2,4: 11:[4, 49] Operation: 79-30=49
Moving to Node #0,3
Current State: 11:[90, 11, 26], Operations: ['30-4=26']
Exploring Operation: 90-11=79, Resulting Numbers: [26, 79]
Generated Node #0,3,0: 11:[26, 79] Operation: 90-11=79
Exploring Operation: 90+11=101, Resulting Numbers: [26, 101]
Generated Node #0,3,1: 11:[26, 101] Operation: 90+11=101
Exploring Operation: 90-26=64, Resulting Numbers: [11, 64]
Generated Node #0,3,2: 11:[11, 64] Operation: 90-26=64
Exploring Operation: 26-11=15, Resulting Numbers: [90, 15]
Generated Node #0,3,3: 11:[90, 15] Operation: 26-11=15
Exploring Operation: 90+26=116, Resulting Numbers: [11, 116]
Generated Node #0,3,4: 11:[11, 116] Operation: 90+26=116
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 11:[11, 64], Operations: ['30-4=26', '90-26=64']
Exploring Operation: 11*64=704, Resulting Numbers: [704]
704,11 unequal: No Solution
Exploring Operation: 11+64=75, Resulting Numbers: [75]
75,11 unequal: No Solution
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,11 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 #0,3,0
Current State: 11:[26, 79], Operations: ['30-4=26', '90-11=79']
Exploring Operation: 79-26=53, Resulting Numbers: [53]
53,11 unequal: No Solution
Exploring Operation: 26+79=105, Resulting Numbers: [105]
105,11 unequal: No Solution
Exploring Operation: 26*79=2054, Resulting Numbers: [2054]
2054,11 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 #0,3,3
Current State: 11:[90, 15], Operations: ['30-4=26', '26-11=15']
Exploring Operation: 90+15=105, Resulting Numbers: [105]
105,11 unequal: No Solution
Exploring Operation: 90-15=75, Resulting Numbers: [75]
75,11 unequal: No Solution
Exploring Operation: 90*15=1350, Resulting Numbers: [1350]
1350,11 unequal: No Solution
Exploring Operation: 90/15=6, Resulting Numbers: [6]
6,11 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 #0,3,1
Current State: 11:[26, 101], Operations: ['30-4=26', '90+11=101']
Exploring Operation: 26*101=2626, Resulting Numbers: [2626]
2626,11 unequal: No Solution
Exploring Operation: 26+101=127, Resulting Numbers: [127]
127,11 unequal: No Solution
Exploring Operation: 101-26=75, Resulting Numbers: [75]
75,11 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 #0,3,4
Current State: 11:[11, 116], Operations: ['30-4=26', '90+26=116']
Exploring Operation: 11+116=127, Resulting Numbers: [127]
127,11 unequal: No Solution
Exploring Operation: 116-11=105, Resulting Numbers: [105]
105,11 unequal: No Solution
Exploring Operation: 11*116=1276, Resulting Numbers: [1276]
1276,11 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: 11:[90, 4, 19], Operations: ['30-11=19']
Exploring Operation: 4+19=23, Resulting Numbers: [90, 23]
Generated Node #0,4,0: 11:[90, 23] Operation: 4+19=23
Exploring Operation: 90-19=71, Resulting Numbers: [4, 71]
Generated Node #0,4,1: 11:[4, 71] Operation: 90-19=71
Exploring Operation: 90+4=94, Resulting Numbers: [19, 94]
Generated Node #0,4,2: 11:[19, 94] Operation: 90+4=94
Exploring Operation: 19-4=15, Resulting Numbers: [90, 15]
Generated Node #0,4,3: 11:[90, 15] Operation: 19-4=15
Exploring Operation: 90-4=86, Resulting Numbers: [19, 86]
Generated Node #0,4,4: 11:[19, 86] Operation: 90-4=86
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 11:[4, 71], Operations: ['30-11=19', '90-19=71']
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 4*71=284, Resulting Numbers: [284]
284,11 unequal: No Solution
Exploring Operation: 4+71=75, Resulting Numbers: [75]
75,11 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 #0,4,3
Current State: 11:[90, 15], Operations: ['30-11=19', '19-4=15']
Exploring Operation: 90*15=1350, Resulting Numbers: [1350]
1350,11 unequal: No Solution
Exploring Operation: 90-15=75, Resulting Numbers: [75]
75,11 unequal: No Solution
Exploring Operation: 90+15=105, Resulting Numbers: [105]
105,11 unequal: No Solution
Exploring Operation: 90/15=6, Resulting Numbers: [6]
6,11 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 #0,4,4
Current State: 11:[19, 86], Operations: ['30-11=19', '90-4=86']
Exploring Operation: 86-19=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 19*86=1634, Resulting Numbers: [1634]
1634,11 unequal: No Solution
Exploring Operation: 19+86=105, Resulting Numbers: [105]
105,11 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 #0,4,0
Current State: 11:[90, 23], Operations: ['30-11=19', '4+19=23']
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 90+23=113, Resulting Numbers: [113]
113,11 unequal: No Solution
Exploring Operation: 90*23=2070, Resulting Numbers: [2070]
2070,11 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 #0,4,2
Current State: 11:[19, 94], Operations: ['30-11=19', '90+4=94']
Exploring Operation: 19*94=1786, Resulting Numbers: [1786]
1786,11 unequal: No Solution
Exploring Operation: 19+94=113, Resulting Numbers: [113]
113,11 unequal: No Solution
Exploring Operation: 94-19=75, Resulting Numbers: [75]
75,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,4
Current State: 11:[11, 12], Operations: ['90/30=3', '4*3=12']
Exploring Operation: 11*12=132, Resulting Numbers: [132]
132,11 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,11 unequal: No Solution
Exploring Operation: 11+12=23, Resulting Numbers: [23]
23,11 unequal: No Solution
Moving to Node #0,0,1
Current State: 11:[11, 7], Operations: ['90/30=3', '4+3=7']
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,11 unequal: No Solution
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,11 unequal: No Solution
Moving to Node #0,0,0
Current State: 11:[4, 8], Operations: ['90/30=3', '11-3=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,11 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Moving to Node #0,0,3
Current State: 11:[11, 1], Operations: ['90/30=3', '4-3=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[30, 90, 11, 4], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [11, 4, 3]
Generated Node #0,0: 11:[11, 4, 3] Operation: 90/30=3
Moving to Node #0,0
Current State: 11:[11, 4, 3], Operations: ['90/30=3']
Exploring Operation: 4-3=1, Resulting Numbers: [11, 1]
Generated Node #0,0,3: 11:[11, 1] Operation: 4-3=1
Moving to Node #0,0,3
Current State: 11:[11, 1], Operations: ['90/30=3', '4-3=1']
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 0.918403 | hs_5 | sum_heuristic |
[
53,
92,
73,
89
] | 23 | [
"92-53=39",
"89-73=16",
"39-16=23"
] | Current State: 23:[53, 92, 73, 89], Operations: []
Exploring Operation: 92-53=39, Resulting Numbers: [73, 89, 39]
Generated Node #2: [73, 89, 39] from Operation: 92-53=39
Current State: 23:[73, 89, 39], Operations: ['92-53=39']
Exploring Operation: 89-73=16, Resulting Numbers: [39, 16]
Generated Node #3: [39, 16] from Operation: 89-73=16
Current State: 23:[39, 16], Operations: ['92-53=39', '89-73=16']
Exploring Operation: 39-16=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[53, 92, 73, 89], Operations: []
Exploring Operation: 92-73=19, Resulting Numbers: [53, 89, 19]
Generated Node #0,0: 23:[53, 89, 19] Operation: 92-73=19
Moving to Node #0,0
Current State: 23:[53, 89, 19], Operations: ['92-73=19']
Exploring Operation: 89-53=36, Resulting Numbers: [19, 36]
Generated Node #0,0,0: 23:[19, 36] Operation: 89-53=36
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[19, 36], Operations: ['92-73=19', '89-53=36']
Exploring Operation: 36-19=17, Resulting Numbers: [17]
17,23 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 |
[
84,
71,
49,
19
] | 87 | [
"84+71=155",
"49+19=68",
"155-68=87"
] | Current State: 87:[84, 71, 49, 19], Operations: []
Exploring Operation: 84+71=155, Resulting Numbers: [49, 19, 155]
Generated Node #2: [49, 19, 155] from Operation: 84+71=155
Current State: 87:[49, 19, 155], Operations: ['84+71=155']
Exploring Operation: 49+19=68, Resulting Numbers: [155, 68]
Generated Node #3: [155, 68] from Operation: 49+19=68
Current State: 87:[155, 68], Operations: ['84+71=155', '49+19=68']
Exploring Operation: 155-68=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[84, 71, 49, 19], Operations: []
Exploring Operation: 84-49=35, Resulting Numbers: [71, 19, 35]
Generated Node #0,0: 87:[71, 19, 35] Operation: 84-49=35
Exploring Operation: 71-49=22, Resulting Numbers: [84, 19, 22]
Generated Node #0,1: 87:[84, 19, 22] Operation: 71-49=22
Exploring Operation: 49-19=30, Resulting Numbers: [84, 71, 30]
Generated Node #0,2: 87:[84, 71, 30] Operation: 49-19=30
Exploring Operation: 71+19=90, Resulting Numbers: [84, 49, 90]
Generated Node #0,3: 87:[84, 49, 90] Operation: 71+19=90
Exploring Operation: 49+19=68, Resulting Numbers: [84, 71, 68]
Generated Node #0,4: 87:[84, 71, 68] Operation: 49+19=68
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[84, 19, 22], Operations: ['71-49=22']
Exploring Operation: 84+22=106, Resulting Numbers: [19, 106]
Generated Node #0,1,0: 87:[19, 106] Operation: 84+22=106
Exploring Operation: 84+19=103, Resulting Numbers: [22, 103]
Generated Node #0,1,1: 87:[22, 103] Operation: 84+19=103
Exploring Operation: 19+22=41, Resulting Numbers: [84, 41]
Generated Node #0,1,2: 87:[84, 41] Operation: 19+22=41
Exploring Operation: 84-19=65, Resulting Numbers: [22, 65]
Generated Node #0,1,3: 87:[22, 65] Operation: 84-19=65
Exploring Operation: 22-19=3, Resulting Numbers: [84, 3]
Generated Node #0,1,4: 87:[84, 3] Operation: 22-19=3
Moving to Node #0,1,4
Current State: 87:[84, 3], Operations: ['71-49=22', '22-19=3']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,87 unequal: No Solution
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[84, 71, 49, 19], Operations: []
Exploring Operation: 71-49=22, Resulting Numbers: [84, 19, 22]
Generated Node #0,1: 87:[84, 19, 22] Operation: 71-49=22
Moving to Node #0,1
Current State: 87:[84, 19, 22], Operations: ['71-49=22']
Exploring Operation: 22-19=3, Resulting Numbers: [84, 3]
Generated Node #0,1,4: 87:[84, 3] Operation: 22-19=3
Moving to Node #0,1,4
Current State: 87:[84, 3], Operations: ['71-49=22', '22-19=3']
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
37,
15,
60,
15
] | 37 | [
"15-15=0",
"60*0=0",
"37+0=37"
] | Current State: 37:[37, 15, 60, 15], Operations: []
Exploring Operation: 15-15=0, Resulting Numbers: [37, 60, 0]
Generated Node #2: [37, 60, 0] from Operation: 15-15=0
Current State: 37:[37, 60, 0], Operations: ['15-15=0']
Exploring Operation: 60*0=0, Resulting Numbers: [37, 0]
Generated Node #3: [37, 0] from Operation: 60*0=0
Current State: 37:[37, 0], Operations: ['15-15=0', '60*0=0']
Exploring Operation: 37+0=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[37, 15, 60, 15], Operations: []
Exploring Operation: 60-15=45, Resulting Numbers: [37, 15, 45]
Generated Node #0,0: 37:[37, 15, 45] Operation: 60-15=45
Moving to Node #0,0
Current State: 37:[37, 15, 45], Operations: ['60-15=45']
Exploring Operation: 45-15=30, Resulting Numbers: [37, 30]
Generated Node #0,0,0: 37:[37, 30] Operation: 45-15=30
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[37, 30], Operations: ['60-15=45', '45-15=30']
Exploring Operation: 37+30=67, Resulting Numbers: [67]
67,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
11,
43,
2,
51
] | 81 | [
"43-11=32",
"51-2=49",
"32+49=81"
] | Current State: 81:[11, 43, 2, 51], Operations: []
Exploring Operation: 43-11=32, Resulting Numbers: [2, 51, 32]
Generated Node #2: [2, 51, 32] from Operation: 43-11=32
Current State: 81:[2, 51, 32], Operations: ['43-11=32']
Exploring Operation: 51-2=49, Resulting Numbers: [32, 49]
Generated Node #3: [32, 49] from Operation: 51-2=49
Current State: 81:[32, 49], Operations: ['43-11=32', '51-2=49']
Exploring Operation: 32+49=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[11, 43, 2, 51], Operations: []
Exploring Operation: 43*2=86, Resulting Numbers: [11, 51, 86]
Generated Node #0,0: 81:[11, 51, 86] Operation: 43*2=86
Exploring Operation: 51-43=8, Resulting Numbers: [11, 2, 8]
Generated Node #0,1: 81:[11, 2, 8] Operation: 51-43=8
Exploring Operation: 43+51=94, Resulting Numbers: [11, 2, 94]
Generated Node #0,2: 81:[11, 2, 94] Operation: 43+51=94
Exploring Operation: 43-11=32, Resulting Numbers: [2, 51, 32]
Generated Node #0,3: 81:[2, 51, 32] Operation: 43-11=32
Exploring Operation: 51-11=40, Resulting Numbers: [43, 2, 40]
Generated Node #0,4: 81:[43, 2, 40] Operation: 51-11=40
Moving to Node #0,1
Current State: 81:[11, 2, 8], Operations: ['51-43=8']
Exploring Operation: 11-2=9, Resulting Numbers: [8, 9]
Generated Node #0,1,0: 81:[8, 9] Operation: 11-2=9
Exploring Operation: 8/2=4, Resulting Numbers: [11, 4]
Generated Node #0,1,1: 81:[11, 4] Operation: 8/2=4
Exploring Operation: 2+8=10, Resulting Numbers: [11, 10]
Generated Node #0,1,2: 81:[11, 10] Operation: 2+8=10
Exploring Operation: 11+2=13, Resulting Numbers: [8, 13]
Generated Node #0,1,3: 81:[8, 13] Operation: 11+2=13
Exploring Operation: 11-8=3, Resulting Numbers: [2, 3]
Generated Node #0,1,4: 81:[2, 3] Operation: 11-8=3
Moving to Node #0,2
Current State: 81:[11, 2, 94], Operations: ['43+51=94']
Exploring Operation: 11-2=9, Resulting Numbers: [94, 9]
Generated Node #0,2,0: 81:[94, 9] Operation: 11-2=9
Exploring Operation: 94-11=83, Resulting Numbers: [2, 83]
Generated Node #0,2,1: 81:[2, 83] Operation: 94-11=83
Exploring Operation: 2+94=96, Resulting Numbers: [11, 96]
Generated Node #0,2,2: 81:[11, 96] Operation: 2+94=96
Exploring Operation: 94-2=92, Resulting Numbers: [11, 92]
Generated Node #0,2,3: 81:[11, 92] Operation: 94-2=92
Exploring Operation: 11+2=13, Resulting Numbers: [94, 13]
Generated Node #0,2,4: 81:[94, 13] Operation: 11+2=13
Moving to Node #0,3
Current State: 81:[2, 51, 32], Operations: ['43-11=32']
Exploring Operation: 51-2=49, Resulting Numbers: [32, 49]
Generated Node #0,3,0: 81:[32, 49] Operation: 51-2=49
Exploring Operation: 51+32=83, Resulting Numbers: [2, 83]
Generated Node #0,3,1: 81:[2, 83] Operation: 51+32=83
Exploring Operation: 2*51=102, Resulting Numbers: [32, 102]
Generated Node #0,3,2: 81:[32, 102] Operation: 2*51=102
Exploring Operation: 32-2=30, Resulting Numbers: [51, 30]
Generated Node #0,3,3: 81:[51, 30] Operation: 32-2=30
Exploring Operation: 51-32=19, Resulting Numbers: [2, 19]
Generated Node #0,3,4: 81:[2, 19] Operation: 51-32=19
Moving to Node #0,4
Current State: 81:[43, 2, 40], Operations: ['51-11=40']
Exploring Operation: 43*2=86, Resulting Numbers: [40, 86]
Generated Node #0,4,0: 81:[40, 86] Operation: 43*2=86
Exploring Operation: 43-40=3, Resulting Numbers: [2, 3]
Generated Node #0,4,1: 81:[2, 3] Operation: 43-40=3
Exploring Operation: 2*40=80, Resulting Numbers: [43, 80]
Generated Node #0,4,2: 81:[43, 80] Operation: 2*40=80
Exploring Operation: 43+40=83, Resulting Numbers: [2, 83]
Generated Node #0,4,3: 81:[2, 83] Operation: 43+40=83
Exploring Operation: 40/2=20, Resulting Numbers: [43, 20]
Generated Node #0,4,4: 81:[43, 20] Operation: 40/2=20
Moving to Node #0,0
Current State: 81:[11, 51, 86], Operations: ['43*2=86']
Exploring Operation: 86-11=75, Resulting Numbers: [51, 75]
Generated Node #0,0,0: 81:[51, 75] Operation: 86-11=75
Exploring Operation: 11+51=62, Resulting Numbers: [86, 62]
Generated Node #0,0,1: 81:[86, 62] Operation: 11+51=62
Exploring Operation: 11+86=97, Resulting Numbers: [51, 97]
Generated Node #0,0,2: 81:[51, 97] Operation: 11+86=97
Exploring Operation: 51-11=40, Resulting Numbers: [86, 40]
Generated Node #0,0,3: 81:[86, 40] Operation: 51-11=40
Exploring Operation: 86-51=35, Resulting Numbers: [11, 35]
Generated Node #0,0,4: 81:[11, 35] Operation: 86-51=35
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 81:[11, 35], Operations: ['43*2=86', '86-51=35']
Exploring Operation: 11+35=46, Resulting Numbers: [46]
46,81 unequal: No Solution
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 11*35=385, Resulting Numbers: [385]
385,81 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 #0,0,3
Current State: 81:[86, 40], Operations: ['43*2=86', '51-11=40']
Exploring Operation: 86+40=126, Resulting Numbers: [126]
126,81 unequal: No Solution
Exploring Operation: 86-40=46, Resulting Numbers: [46]
46,81 unequal: No Solution
Exploring Operation: 86*40=3440, Resulting Numbers: [3440]
3440,81 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 #0,0,1
Current State: 81:[86, 62], Operations: ['43*2=86', '11+51=62']
Exploring Operation: 86+62=148, Resulting Numbers: [148]
148,81 unequal: No Solution
Exploring Operation: 86*62=5332, Resulting Numbers: [5332]
5332,81 unequal: No Solution
Exploring Operation: 86-62=24, Resulting Numbers: [24]
24,81 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 #0,0,0
Current State: 81:[51, 75], Operations: ['43*2=86', '86-11=75']
Exploring Operation: 51+75=126, Resulting Numbers: [126]
126,81 unequal: No Solution
Exploring Operation: 75-51=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 51*75=3825, Resulting Numbers: [3825]
3825,81 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 #0,0,2
Current State: 81:[51, 97], Operations: ['43*2=86', '11+86=97']
Exploring Operation: 51+97=148, Resulting Numbers: [148]
148,81 unequal: No Solution
Exploring Operation: 97-51=46, Resulting Numbers: [46]
46,81 unequal: No Solution
Exploring Operation: 51*97=4947, Resulting Numbers: [4947]
4947,81 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: 81:[8, 9], Operations: ['51-43=8', '11-2=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,81 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,81 unequal: No Solution
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,81 unequal: No Solution
Moving to Node #0,1,4
Current State: 81:[2, 3], Operations: ['51-43=8', '11-8=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,81 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,81 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,81 unequal: No Solution
Moving to Node #0,4,1
Current State: 81:[2, 3], Operations: ['51-11=40', '43-40=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,81 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,81 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[11, 4], Operations: ['51-43=8', '8/2=4']
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,81 unequal: No Solution
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,81 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Moving to Node #0,2,1
Current State: 81:[2, 83], Operations: ['43+51=94', '94-11=83']
Exploring Operation: 2*83=166, Resulting Numbers: [166]
166,81 unequal: No Solution
Exploring Operation: 2+83=85, Resulting Numbers: [85]
85,81 unequal: No Solution
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[11, 43, 2, 51], Operations: []
Exploring Operation: 43+51=94, Resulting Numbers: [11, 2, 94]
Generated Node #0,2: 81:[11, 2, 94] Operation: 43+51=94
Moving to Node #0,2
Current State: 81:[11, 2, 94], Operations: ['43+51=94']
Exploring Operation: 94-11=83, Resulting Numbers: [2, 83]
Generated Node #0,2,1: 81:[2, 83] Operation: 94-11=83
Moving to Node #0,2,1
Current State: 81:[2, 83], Operations: ['43+51=94', '94-11=83']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 0.944444 | hs_5 | mult_heuristic |
[
17,
17,
26,
68
] | 39 | [
"17+26=43",
"68/17=4",
"43-4=39"
] | Current State: 39:[17, 17, 26, 68], Operations: []
Exploring Operation: 17+26=43, Resulting Numbers: [68, 43]
Generated Node #2: [68, 43] from Operation: 17+26=43
Current State: 39:[68, 43], Operations: ['17+26=43']
Exploring Operation: 68/17=4, Resulting Numbers: [43, 4]
Generated Node #3: [43, 4] from Operation: 68/17=4
Current State: 39:[43, 4], Operations: ['17+26=43', '68/17=4']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[17, 17, 26, 68], Operations: []
Exploring Operation: 68-26=42, Resulting Numbers: [17, 17, 42]
Generated Node #0,0: 39:[17, 17, 42] Operation: 68-26=42
Exploring Operation: 68/17=4, Resulting Numbers: [17, 26, 4]
Generated Node #0,1: 39:[17, 26, 4] Operation: 68/17=4
Exploring Operation: 68/17=4, Resulting Numbers: [17, 26, 4]
Generated Node #0,2: 39:[17, 26, 4] Operation: 68/17=4
Moving to Node #0,0
Current State: 39:[17, 17, 42], Operations: ['68-26=42']
Exploring Operation: 17+17=34, Resulting Numbers: [42, 34]
Generated Node #0,0,0: 39:[42, 34] Operation: 17+17=34
Exploring Operation: 17/17=1, Resulting Numbers: [42, 1]
Generated Node #0,0,1: 39:[42, 1] Operation: 17/17=1
Exploring Operation: 17-17=0, Resulting Numbers: [42, 0]
Generated Node #0,0,2: 39:[42, 0] Operation: 17-17=0
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 39:[42, 1], Operations: ['68-26=42', '17/17=1']
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,39 unequal: No Solution
Exploring Operation: 42*1=42, Resulting Numbers: [42]
42,39 unequal: No Solution
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 39:[42, 0], Operations: ['68-26=42', '17-17=0']
Exploring Operation: 42+0=42, Resulting Numbers: [42]
42,39 unequal: No Solution
Exploring Operation: 42-0=42, Resulting Numbers: [42]
42,39 unequal: No Solution
Exploring Operation: 42*0=0, Resulting Numbers: [0]
0,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[42, 34], Operations: ['68-26=42', '17+17=34']
Exploring Operation: 42*34=1428, Resulting Numbers: [1428]
1428,39 unequal: No Solution
Exploring Operation: 42+34=76, Resulting Numbers: [76]
76,39 unequal: No Solution
Exploring Operation: 42-34=8, Resulting Numbers: [8]
8,39 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: 39:[17, 26, 4], Operations: ['68/17=4']
Exploring Operation: 26-17=9, Resulting Numbers: [4, 9]
Generated Node #0,1,0: 39:[4, 9] Operation: 26-17=9
Exploring Operation: 17-4=13, Resulting Numbers: [26, 13]
Generated Node #0,1,1: 39:[26, 13] Operation: 17-4=13
Exploring Operation: 17+26=43, Resulting Numbers: [4, 43]
Generated Node #0,1,2: 39:[4, 43] Operation: 17+26=43
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 39:[4, 9], Operations: ['68/17=4', '26-17=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,39 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,39 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 #0,1,2
Current State: 39:[4, 43], Operations: ['68/17=4', '17+26=43']
Exploring Operation: 4*43=172, Resulting Numbers: [172]
172,39 unequal: No Solution
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[17, 17, 26, 68], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [17, 26, 4]
Generated Node #0,1: 39:[17, 26, 4] Operation: 68/17=4
Moving to Node #0,1
Current State: 39:[17, 26, 4], Operations: ['68/17=4']
Exploring Operation: 17+26=43, Resulting Numbers: [4, 43]
Generated Node #0,1,2: 39:[4, 43] Operation: 17+26=43
Moving to Node #0,1,2
Current State: 39:[4, 43], Operations: ['68/17=4', '17+26=43']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_3 | mult_heuristic |
[
50,
15,
47,
11
] | 93 | [
"50-15=35",
"47+11=58",
"35+58=93"
] | Current State: 93:[50, 15, 47, 11], Operations: []
Exploring Operation: 50-15=35, Resulting Numbers: [47, 11, 35]
Generated Node #2: [47, 11, 35] from Operation: 50-15=35
Current State: 93:[47, 11, 35], Operations: ['50-15=35']
Exploring Operation: 47+11=58, Resulting Numbers: [35, 58]
Generated Node #3: [35, 58] from Operation: 47+11=58
Current State: 93:[35, 58], Operations: ['50-15=35', '47+11=58']
Exploring Operation: 35+58=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[50, 15, 47, 11], Operations: []
Exploring Operation: 50+47=97, Resulting Numbers: [15, 11, 97]
Generated Node #0,0: 93:[15, 11, 97] Operation: 50+47=97
Exploring Operation: 50-47=3, Resulting Numbers: [15, 11, 3]
Generated Node #0,1: 93:[15, 11, 3] Operation: 50-47=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[15, 11, 3], Operations: ['50-47=3']
Exploring Operation: 15-11=4, Resulting Numbers: [3, 4]
Generated Node #0,1,0: 93:[3, 4] Operation: 15-11=4
Exploring Operation: 15+11=26, Resulting Numbers: [3, 26]
Generated Node #0,1,1: 93:[3, 26] Operation: 15+11=26
Moving to Node #0,1,0
Current State: 93:[3, 4], Operations: ['50-47=3', '15-11=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,93 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[3, 26], Operations: ['50-47=3', '15+11=26']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,93 unequal: No Solution
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,93 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 #0,0
Current State: 93:[15, 11, 97], Operations: ['50+47=97']
Exploring Operation: 15-11=4, Resulting Numbers: [97, 4]
Generated Node #0,0,0: 93:[97, 4] Operation: 15-11=4
Exploring Operation: 15+11=26, Resulting Numbers: [97, 26]
Generated Node #0,0,1: 93:[97, 26] Operation: 15+11=26
Moving to Node #0,0,0
Current State: 93:[97, 4], Operations: ['50+47=97', '15-11=4']
Exploring Operation: 97+4=101, Resulting Numbers: [101]
101,93 unequal: No Solution
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[50, 15, 47, 11], Operations: []
Exploring Operation: 50+47=97, Resulting Numbers: [15, 11, 97]
Generated Node #0,0: 93:[15, 11, 97] Operation: 50+47=97
Moving to Node #0,0
Current State: 93:[15, 11, 97], Operations: ['50+47=97']
Exploring Operation: 15-11=4, Resulting Numbers: [97, 4]
Generated Node #0,0,0: 93:[97, 4] Operation: 15-11=4
Moving to Node #0,0,0
Current State: 93:[97, 4], Operations: ['50+47=97', '15-11=4']
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
55,
15,
17,
29
] | 82 | [
"55+15=70",
"29-17=12",
"70+12=82"
] | Current State: 82:[55, 15, 17, 29], Operations: []
Exploring Operation: 55+15=70, Resulting Numbers: [17, 29, 70]
Generated Node #2: [17, 29, 70] from Operation: 55+15=70
Current State: 82:[17, 29, 70], Operations: ['55+15=70']
Exploring Operation: 29-17=12, Resulting Numbers: [70, 12]
Generated Node #3: [70, 12] from Operation: 29-17=12
Current State: 82:[70, 12], Operations: ['55+15=70', '29-17=12']
Exploring Operation: 70+12=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[55, 15, 17, 29], Operations: []
Exploring Operation: 17-15=2, Resulting Numbers: [55, 29, 2]
Generated Node #0,0: 82:[55, 29, 2] Operation: 17-15=2
Exploring Operation: 55-15=40, Resulting Numbers: [17, 29, 40]
Generated Node #0,1: 82:[17, 29, 40] Operation: 55-15=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[55, 29, 2], Operations: ['17-15=2']
Exploring Operation: 55+29=84, Resulting Numbers: [2, 84]
Generated Node #0,0,0: 82:[2, 84] Operation: 55+29=84
Exploring Operation: 55-29=26, Resulting Numbers: [2, 26]
Generated Node #0,0,1: 82:[2, 26] Operation: 55-29=26
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[2, 84], Operations: ['17-15=2', '55+29=84']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,82 unequal: No Solution
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[55, 15, 17, 29], Operations: []
Exploring Operation: 17-15=2, Resulting Numbers: [55, 29, 2]
Generated Node #0,0: 82:[55, 29, 2] Operation: 17-15=2
Moving to Node #0,0
Current State: 82:[55, 29, 2], Operations: ['17-15=2']
Exploring Operation: 55+29=84, Resulting Numbers: [2, 84]
Generated Node #0,0,0: 82:[2, 84] Operation: 55+29=84
Moving to Node #0,0,0
Current State: 82:[2, 84], Operations: ['17-15=2', '55+29=84']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
4,
32,
3,
90
] | 10 | [
"90-4=86",
"32*3=96",
"96-86=10"
] | Current State: 10:[4, 32, 3, 90], Operations: []
Exploring Operation: 90-4=86, Resulting Numbers: [32, 3, 86]
Generated Node #2: [32, 3, 86] from Operation: 90-4=86
Current State: 10:[32, 3, 86], Operations: ['90-4=86']
Exploring Operation: 32*3=96, Resulting Numbers: [86, 96]
Generated Node #3: [86, 96] from Operation: 32*3=96
Current State: 10:[86, 96], Operations: ['90-4=86', '32*3=96']
Exploring Operation: 96-86=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[4, 32, 3, 90], Operations: []
Exploring Operation: 90/3=30, Resulting Numbers: [4, 32, 30]
Generated Node #0,0: 10:[4, 32, 30] Operation: 90/3=30
Exploring Operation: 90-32=58, Resulting Numbers: [4, 3, 58]
Generated Node #0,1: 10:[4, 3, 58] Operation: 90-32=58
Moving to Node #0,0
Current State: 10:[4, 32, 30], Operations: ['90/3=30']
Exploring Operation: 32-30=2, Resulting Numbers: [4, 2]
Generated Node #0,0,0: 10:[4, 2] Operation: 32-30=2
Exploring Operation: 32/4=8, Resulting Numbers: [30, 8]
Generated Node #0,0,1: 10:[30, 8] Operation: 32/4=8
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 10:[4, 2], Operations: ['90/3=30', '32-30=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 10:[30, 8], Operations: ['90/3=30', '32/4=8']
Exploring Operation: 30+8=38, Resulting Numbers: [38]
38,10 unequal: No Solution
Exploring Operation: 30-8=22, Resulting Numbers: [22]
22,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 10:[4, 3, 58], Operations: ['90-32=58']
Exploring Operation: 58-3=55, Resulting Numbers: [4, 55]
Generated Node #0,1,0: 10:[4, 55] Operation: 58-3=55
Exploring Operation: 58-4=54, Resulting Numbers: [3, 54]
Generated Node #0,1,1: 10:[3, 54] Operation: 58-4=54
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 10:[3, 54], Operations: ['90-32=58', '58-4=54']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,10 unequal: No Solution
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 10:[4, 55], Operations: ['90-32=58', '58-3=55']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,10 unequal: No Solution
Exploring Operation: 4+55=59, Resulting Numbers: [59]
59,10 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 |
[
99,
82,
65,
6
] | 41 | [
"99+82=181",
"65+181=246",
"246/6=41"
] | Current State: 41:[99, 82, 65, 6], Operations: []
Exploring Operation: 99+82=181, Resulting Numbers: [65, 6, 181]
Generated Node #2: [65, 6, 181] from Operation: 99+82=181
Current State: 41:[65, 6, 181], Operations: ['99+82=181']
Exploring Operation: 65+181=246, Resulting Numbers: [6, 246]
Generated Node #3: [6, 246] from Operation: 65+181=246
Current State: 41:[6, 246], Operations: ['99+82=181', '65+181=246']
Exploring Operation: 246/6=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[99, 82, 65, 6], Operations: []
Exploring Operation: 99-82=17, Resulting Numbers: [65, 6, 17]
Generated Node #0,0: 41:[65, 6, 17] Operation: 99-82=17
Exploring Operation: 99-6=93, Resulting Numbers: [82, 65, 93]
Generated Node #0,1: 41:[82, 65, 93] Operation: 99-6=93
Exploring Operation: 99-65=34, Resulting Numbers: [82, 6, 34]
Generated Node #0,2: 41:[82, 6, 34] Operation: 99-65=34
Exploring Operation: 82-65=17, Resulting Numbers: [99, 6, 17]
Generated Node #0,3: 41:[99, 6, 17] Operation: 82-65=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[65, 6, 17], Operations: ['99-82=17']
Exploring Operation: 65+6=71, Resulting Numbers: [17, 71]
Generated Node #0,0,0: 41:[17, 71] Operation: 65+6=71
Exploring Operation: 65-6=59, Resulting Numbers: [17, 59]
Generated Node #0,0,1: 41:[17, 59] Operation: 65-6=59
Exploring Operation: 65-17=48, Resulting Numbers: [6, 48]
Generated Node #0,0,2: 41:[6, 48] Operation: 65-17=48
Exploring Operation: 6+17=23, Resulting Numbers: [65, 23]
Generated Node #0,0,3: 41:[65, 23] Operation: 6+17=23
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 41:[17, 59], Operations: ['99-82=17', '65-6=59']
Exploring Operation: 59-17=42, Resulting Numbers: [42]
42,41 unequal: No Solution
Exploring Operation: 17*59=1003, Resulting Numbers: [1003]
1003,41 unequal: No Solution
Exploring Operation: 17+59=76, Resulting Numbers: [76]
76,41 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 #0,0,2
Current State: 41:[6, 48], Operations: ['99-82=17', '65-17=48']
Exploring Operation: 6+48=54, Resulting Numbers: [54]
54,41 unequal: No Solution
Exploring Operation: 6*48=288, Resulting Numbers: [288]
288,41 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,41 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,41 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 #0,0,3
Current State: 41:[65, 23], Operations: ['99-82=17', '6+17=23']
Exploring Operation: 65-23=42, Resulting Numbers: [42]
42,41 unequal: No Solution
Exploring Operation: 65+23=88, Resulting Numbers: [88]
88,41 unequal: No Solution
Exploring Operation: 65*23=1495, Resulting Numbers: [1495]
1495,41 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:[17, 71], Operations: ['99-82=17', '65+6=71']
Exploring Operation: 17+71=88, Resulting Numbers: [88]
88,41 unequal: No Solution
Exploring Operation: 71-17=54, Resulting Numbers: [54]
54,41 unequal: No Solution
Exploring Operation: 17*71=1207, Resulting Numbers: [1207]
1207,41 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 #0,2
Current State: 41:[82, 6, 34], Operations: ['99-65=34']
Exploring Operation: 6+34=40, Resulting Numbers: [82, 40]
Generated Node #0,2,0: 41:[82, 40] Operation: 6+34=40
Exploring Operation: 82-6=76, Resulting Numbers: [34, 76]
Generated Node #0,2,1: 41:[34, 76] Operation: 82-6=76
Exploring Operation: 82-34=48, Resulting Numbers: [6, 48]
Generated Node #0,2,2: 41:[6, 48] Operation: 82-34=48
Exploring Operation: 82+6=88, Resulting Numbers: [34, 88]
Generated Node #0,2,3: 41:[34, 88] Operation: 82+6=88
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 41:[82, 40], Operations: ['99-65=34', '6+34=40']
Exploring Operation: 82*40=3280, Resulting Numbers: [3280]
3280,41 unequal: No Solution
Exploring Operation: 82+40=122, Resulting Numbers: [122]
122,41 unequal: No Solution
Exploring Operation: 82-40=42, Resulting Numbers: [42]
42,41 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 #0,2,1
Current State: 41:[34, 76], Operations: ['99-65=34', '82-6=76']
Exploring Operation: 76-34=42, Resulting Numbers: [42]
42,41 unequal: No Solution
Exploring Operation: 34+76=110, Resulting Numbers: [110]
110,41 unequal: No Solution
Exploring Operation: 34*76=2584, Resulting Numbers: [2584]
2584,41 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 #0,2,2
Current State: 41:[6, 48], Operations: ['99-65=34', '82-34=48']
Exploring Operation: 6+48=54, Resulting Numbers: [54]
54,41 unequal: No Solution
Exploring Operation: 6*48=288, Resulting Numbers: [288]
288,41 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,41 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,41 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 #0,2,3
Current State: 41:[34, 88], Operations: ['99-65=34', '82+6=88']
Exploring Operation: 34*88=2992, Resulting Numbers: [2992]
2992,41 unequal: No Solution
Exploring Operation: 34+88=122, Resulting Numbers: [122]
122,41 unequal: No Solution
Exploring Operation: 88-34=54, Resulting Numbers: [54]
54,41 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:[82, 65, 93], Operations: ['99-6=93']
Exploring Operation: 82-65=17, Resulting Numbers: [93, 17]
Generated Node #0,1,0: 41:[93, 17] Operation: 82-65=17
Exploring Operation: 93-65=28, Resulting Numbers: [82, 28]
Generated Node #0,1,1: 41:[82, 28] Operation: 93-65=28
Exploring Operation: 82+65=147, Resulting Numbers: [93, 147]
Generated Node #0,1,2: 41:[93, 147] Operation: 82+65=147
Exploring Operation: 93-82=11, Resulting Numbers: [65, 11]
Generated Node #0,1,3: 41:[65, 11] Operation: 93-82=11
Moving to Node #0,1,1
Current State: 41:[82, 28], Operations: ['99-6=93', '93-65=28']
Exploring Operation: 82-28=54, Resulting Numbers: [54]
54,41 unequal: No Solution
Exploring Operation: 82+28=110, Resulting Numbers: [110]
110,41 unequal: No Solution
Exploring Operation: 82*28=2296, Resulting Numbers: [2296]
2296,41 unequal: No Solution
Moving to Node #0,1,3
Current State: 41:[65, 11], Operations: ['99-6=93', '93-82=11']
Exploring Operation: 65+11=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Exploring Operation: 65*11=715, Resulting Numbers: [715]
715,41 unequal: No Solution
Exploring Operation: 65-11=54, Resulting Numbers: [54]
54,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[93, 17], Operations: ['99-6=93', '82-65=17']
Exploring Operation: 93+17=110, Resulting Numbers: [110]
110,41 unequal: No Solution
Exploring Operation: 93-17=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Exploring Operation: 93*17=1581, Resulting Numbers: [1581]
1581,41 unequal: No Solution
Moving to Node #0,1,2
Current State: 41:[93, 147], Operations: ['99-6=93', '82+65=147']
Exploring Operation: 93*147=13671, Resulting Numbers: [13671]
13671,41 unequal: No Solution
Exploring Operation: 93+147=240, Resulting Numbers: [240]
240,41 unequal: No Solution
Exploring Operation: 147-93=54, Resulting Numbers: [54]
54,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 41:[99, 6, 17], Operations: ['82-65=17']
Exploring Operation: 6+17=23, Resulting Numbers: [99, 23]
Generated Node #0,3,0: 41:[99, 23] Operation: 6+17=23
Exploring Operation: 99-6=93, Resulting Numbers: [17, 93]
Generated Node #0,3,1: 41:[17, 93] Operation: 99-6=93
Exploring Operation: 99-17=82, Resulting Numbers: [6, 82]
Generated Node #0,3,2: 41:[6, 82] Operation: 99-17=82
Exploring Operation: 99+6=105, Resulting Numbers: [17, 105]
Generated Node #0,3,3: 41:[17, 105] Operation: 99+6=105
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 41:[99, 23], Operations: ['82-65=17', '6+17=23']
Exploring Operation: 99+23=122, Resulting Numbers: [122]
122,41 unequal: No Solution
Exploring Operation: 99*23=2277, Resulting Numbers: [2277]
2277,41 unequal: No Solution
Exploring Operation: 99-23=76, Resulting Numbers: [76]
76,41 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 #0,3,1
Current State: 41:[17, 93], Operations: ['82-65=17', '99-6=93']
Exploring Operation: 17*93=1581, Resulting Numbers: [1581]
1581,41 unequal: No Solution
Exploring Operation: 93-17=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Exploring Operation: 17+93=110, Resulting Numbers: [110]
110,41 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 #0,3,2
Current State: 41:[6, 82], Operations: ['82-65=17', '99-17=82']
Exploring Operation: 6+82=88, Resulting Numbers: [88]
88,41 unequal: No Solution
Exploring Operation: 82-6=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Exploring Operation: 6*82=492, Resulting Numbers: [492]
492,41 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 #0,3,3
Current State: 41:[17, 105], Operations: ['82-65=17', '99+6=105']
Exploring Operation: 105-17=88, Resulting Numbers: [88]
88,41 unequal: No Solution
Exploring Operation: 17+105=122, Resulting Numbers: [122]
122,41 unequal: No Solution
Exploring Operation: 17*105=1785, Resulting Numbers: [1785]
1785,41 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
No solution found.
| 0 | hs_4 | mult_heuristic |
[
73,
83,
94,
42
] | 42 | [
"83-73=10",
"94-42=52",
"52-10=42"
] | Current State: 42:[73, 83, 94, 42], Operations: []
Exploring Operation: 83-73=10, Resulting Numbers: [94, 42, 10]
Generated Node #2: [94, 42, 10] from Operation: 83-73=10
Current State: 42:[94, 42, 10], Operations: ['83-73=10']
Exploring Operation: 94-42=52, Resulting Numbers: [10, 52]
Generated Node #3: [10, 52] from Operation: 94-42=52
Current State: 42:[10, 52], Operations: ['83-73=10', '94-42=52']
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[73, 83, 94, 42], Operations: []
Exploring Operation: 83-73=10, Resulting Numbers: [94, 42, 10]
Generated Node #0,0: 42:[94, 42, 10] Operation: 83-73=10
Exploring Operation: 94-42=52, Resulting Numbers: [73, 83, 52]
Generated Node #0,1: 42:[73, 83, 52] Operation: 94-42=52
Exploring Operation: 94-73=21, Resulting Numbers: [83, 42, 21]
Generated Node #0,2: 42:[83, 42, 21] Operation: 94-73=21
Exploring Operation: 94-83=11, Resulting Numbers: [73, 42, 11]
Generated Node #0,3: 42:[73, 42, 11] Operation: 94-83=11
Start Sub Search at level 1: Moving to Node #0,3
Current State: 42:[73, 42, 11], Operations: ['94-83=11']
Exploring Operation: 73-42=31, Resulting Numbers: [11, 31]
Generated Node #0,3,0: 42:[11, 31] Operation: 73-42=31
Exploring Operation: 73-11=62, Resulting Numbers: [42, 62]
Generated Node #0,3,1: 42:[42, 62] Operation: 73-11=62
Exploring Operation: 42-11=31, Resulting Numbers: [73, 31]
Generated Node #0,3,2: 42:[73, 31] Operation: 42-11=31
Exploring Operation: 73+11=84, Resulting Numbers: [42, 84]
Generated Node #0,3,3: 42:[42, 84] Operation: 73+11=84
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 42:[11, 31], Operations: ['94-83=11', '73-42=31']
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,42 unequal: No Solution
Exploring Operation: 11+31=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[73, 83, 94, 42], Operations: []
Exploring Operation: 94-83=11, Resulting Numbers: [73, 42, 11]
Generated Node #0,3: 42:[73, 42, 11] Operation: 94-83=11
Moving to Node #0,3
Current State: 42:[73, 42, 11], Operations: ['94-83=11']
Exploring Operation: 73-42=31, Resulting Numbers: [11, 31]
Generated Node #0,3,0: 42:[11, 31] Operation: 73-42=31
Moving to Node #0,3,0
Current State: 42:[11, 31], Operations: ['94-83=11', '73-42=31']
Exploring Operation: 11+31=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
92,
34,
76,
87
] | 37 | [
"92+34=126",
"76+87=163",
"163-126=37"
] | Current State: 37:[92, 34, 76, 87], Operations: []
Exploring Operation: 92+34=126, Resulting Numbers: [76, 87, 126]
Generated Node #2: [76, 87, 126] from Operation: 92+34=126
Current State: 37:[76, 87, 126], Operations: ['92+34=126']
Exploring Operation: 76+87=163, Resulting Numbers: [126, 163]
Generated Node #3: [126, 163] from Operation: 76+87=163
Current State: 37:[126, 163], Operations: ['92+34=126', '76+87=163']
Exploring Operation: 163-126=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[92, 34, 76, 87], Operations: []
Exploring Operation: 92-76=16, Resulting Numbers: [34, 87, 16]
Generated Node #0,0: 37:[34, 87, 16] Operation: 92-76=16
Exploring Operation: 92-87=5, Resulting Numbers: [34, 76, 5]
Generated Node #0,1: 37:[34, 76, 5] Operation: 92-87=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[34, 87, 16], Operations: ['92-76=16']
Exploring Operation: 87-16=71, Resulting Numbers: [34, 71]
Generated Node #0,0,0: 37:[34, 71] Operation: 87-16=71
Exploring Operation: 87-34=53, Resulting Numbers: [16, 53]
Generated Node #0,0,1: 37:[16, 53] Operation: 87-34=53
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 37:[34, 71], Operations: ['92-76=16', '87-16=71']
Exploring Operation: 34+71=105, Resulting Numbers: [105]
105,37 unequal: No Solution
Exploring Operation: 71-34=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[92, 34, 76, 87], Operations: []
Exploring Operation: 92-76=16, Resulting Numbers: [34, 87, 16]
Generated Node #0,0: 37:[34, 87, 16] Operation: 92-76=16
Moving to Node #0,0
Current State: 37:[34, 87, 16], Operations: ['92-76=16']
Exploring Operation: 87-16=71, Resulting Numbers: [34, 71]
Generated Node #0,0,0: 37:[34, 71] Operation: 87-16=71
Moving to Node #0,0,0
Current State: 37:[34, 71], Operations: ['92-76=16', '87-16=71']
Exploring Operation: 71-34=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
82,
51,
2,
41
] | 74 | [
"82-51=31",
"2+41=43",
"31+43=74"
] | Current State: 74:[82, 51, 2, 41], Operations: []
Exploring Operation: 82-51=31, Resulting Numbers: [2, 41, 31]
Generated Node #2: [2, 41, 31] from Operation: 82-51=31
Current State: 74:[2, 41, 31], Operations: ['82-51=31']
Exploring Operation: 2+41=43, Resulting Numbers: [31, 43]
Generated Node #3: [31, 43] from Operation: 2+41=43
Current State: 74:[31, 43], Operations: ['82-51=31', '2+41=43']
Exploring Operation: 31+43=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[82, 51, 2, 41], Operations: []
Exploring Operation: 82/41=2, Resulting Numbers: [51, 2, 2]
Generated Node #0,0: 74:[51, 2, 2] Operation: 82/41=2
Exploring Operation: 82/2=41, Resulting Numbers: [51, 41, 41]
Generated Node #0,1: 74:[51, 41, 41] Operation: 82/2=41
Exploring Operation: 51-41=10, Resulting Numbers: [82, 2, 10]
Generated Node #0,2: 74:[82, 2, 10] Operation: 51-41=10
Exploring Operation: 82-41=41, Resulting Numbers: [51, 2, 41]
Generated Node #0,3: 74:[51, 2, 41] Operation: 82-41=41
Exploring Operation: 82-51=31, Resulting Numbers: [2, 41, 31]
Generated Node #0,4: 74:[2, 41, 31] Operation: 82-51=31
Start Sub Search at level 1: Moving to Node #0,4
Current State: 74:[2, 41, 31], Operations: ['82-51=31']
Exploring Operation: 41-31=10, Resulting Numbers: [2, 10]
Generated Node #0,4,0: 74:[2, 10] Operation: 41-31=10
Exploring Operation: 2+41=43, Resulting Numbers: [31, 43]
Generated Node #0,4,1: 74:[31, 43] Operation: 2+41=43
Exploring Operation: 2+31=33, Resulting Numbers: [41, 33]
Generated Node #0,4,2: 74:[41, 33] Operation: 2+31=33
Exploring Operation: 41+31=72, Resulting Numbers: [2, 72]
Generated Node #0,4,3: 74:[2, 72] Operation: 41+31=72
Exploring Operation: 41-2=39, Resulting Numbers: [31, 39]
Generated Node #0,4,4: 74:[31, 39] Operation: 41-2=39
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 74:[2, 72], Operations: ['82-51=31', '41+31=72']
Exploring Operation: 2*72=144, Resulting Numbers: [144]
144,74 unequal: No Solution
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,74 unequal: No Solution
Exploring Operation: 2+72=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[82, 51, 2, 41], Operations: []
Exploring Operation: 82-51=31, Resulting Numbers: [2, 41, 31]
Generated Node #0,4: 74:[2, 41, 31] Operation: 82-51=31
Moving to Node #0,4
Current State: 74:[2, 41, 31], Operations: ['82-51=31']
Exploring Operation: 41+31=72, Resulting Numbers: [2, 72]
Generated Node #0,4,3: 74:[2, 72] Operation: 41+31=72
Moving to Node #0,4,3
Current State: 74:[2, 72], Operations: ['82-51=31', '41+31=72']
Exploring Operation: 2+72=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
41,
16,
23,
45
] | 76 | [
"45-41=4",
"23*4=92",
"92-16=76"
] | Current State: 76:[41, 16, 23, 45], Operations: []
Exploring Operation: 45-41=4, Resulting Numbers: [16, 23, 4]
Generated Node #2: [16, 23, 4] from Operation: 45-41=4
Current State: 76:[16, 23, 4], Operations: ['45-41=4']
Exploring Operation: 23*4=92, Resulting Numbers: [16, 92]
Generated Node #3: [16, 92] from Operation: 23*4=92
Current State: 76:[16, 92], Operations: ['45-41=4', '23*4=92']
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[41, 16, 23, 45], Operations: []
Exploring Operation: 45-23=22, Resulting Numbers: [41, 16, 22]
Generated Node #0,0: 76:[41, 16, 22] Operation: 45-23=22
Exploring Operation: 45-41=4, Resulting Numbers: [16, 23, 4]
Generated Node #0,1: 76:[16, 23, 4] Operation: 45-41=4
Exploring Operation: 41-23=18, Resulting Numbers: [16, 45, 18]
Generated Node #0,2: 76:[16, 45, 18] Operation: 41-23=18
Exploring Operation: 16+23=39, Resulting Numbers: [41, 45, 39]
Generated Node #0,3: 76:[41, 45, 39] Operation: 16+23=39
Moving to Node #0,1
Current State: 76:[16, 23, 4], Operations: ['45-41=4']
Exploring Operation: 16+23=39, Resulting Numbers: [4, 39]
Generated Node #0,1,0: 76:[4, 39] Operation: 16+23=39
Exploring Operation: 23-16=7, Resulting Numbers: [4, 7]
Generated Node #0,1,1: 76:[4, 7] Operation: 23-16=7
Exploring Operation: 23-4=19, Resulting Numbers: [16, 19]
Generated Node #0,1,2: 76:[16, 19] Operation: 23-4=19
Exploring Operation: 16/4=4, Resulting Numbers: [23, 4]
Generated Node #0,1,3: 76:[23, 4] Operation: 16/4=4
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 76:[4, 39], Operations: ['45-41=4', '16+23=39']
Exploring Operation: 4*39=156, Resulting Numbers: [156]
156,76 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,76 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:[4, 7], Operations: ['45-41=4', '23-16=7']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 4+7=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 4*7=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 #0,1,2
Current State: 76:[16, 19], Operations: ['45-41=4', '23-4=19']
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 16*19=304, Resulting Numbers: [304]
304,76 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:[23, 4], Operations: ['45-41=4', '16/4=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,76 unequal: No Solution
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,76 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: 76:[41, 16, 22], Operations: ['45-23=22']
Exploring Operation: 41-16=25, Resulting Numbers: [22, 25]
Generated Node #0,0,0: 76:[22, 25] Operation: 41-16=25
Exploring Operation: 22-16=6, Resulting Numbers: [41, 6]
Generated Node #0,0,1: 76:[41, 6] Operation: 22-16=6
Exploring Operation: 41-22=19, Resulting Numbers: [16, 19]
Generated Node #0,0,2: 76:[16, 19] Operation: 41-22=19
Exploring Operation: 16+22=38, Resulting Numbers: [41, 38]
Generated Node #0,0,3: 76:[41, 38] Operation: 16+22=38
Moving to Node #0,3
Current State: 76:[41, 45, 39], Operations: ['16+23=39']
Exploring Operation: 45-39=6, Resulting Numbers: [41, 6]
Generated Node #0,3,0: 76:[41, 6] Operation: 45-39=6
Exploring Operation: 41+45=86, Resulting Numbers: [39, 86]
Generated Node #0,3,1: 76:[39, 86] Operation: 41+45=86
Exploring Operation: 45-41=4, Resulting Numbers: [39, 4]
Generated Node #0,3,2: 76:[39, 4] Operation: 45-41=4
Exploring Operation: 41-39=2, Resulting Numbers: [45, 2]
Generated Node #0,3,3: 76:[45, 2] Operation: 41-39=2
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 76:[39, 4], Operations: ['16+23=39', '45-41=4']
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Exploring Operation: 39*4=156, Resulting Numbers: [156]
156,76 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,76 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:[41, 6], Operations: ['16+23=39', '45-39=6']
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 41+6=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 41*6=246, Resulting Numbers: [246]
246,76 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:[45, 2], Operations: ['16+23=39', '41-39=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,76 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:[39, 86], Operations: ['16+23=39', '41+45=86']
Exploring Operation: 39*86=3354, Resulting Numbers: [3354]
3354,76 unequal: No Solution
Exploring Operation: 86-39=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 39+86=125, Resulting Numbers: [125]
125,76 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: 76:[16, 45, 18], Operations: ['41-23=18']
Exploring Operation: 45-18=27, Resulting Numbers: [16, 27]
Generated Node #0,2,0: 76:[16, 27] Operation: 45-18=27
Exploring Operation: 16+18=34, Resulting Numbers: [45, 34]
Generated Node #0,2,1: 76:[45, 34] Operation: 16+18=34
Exploring Operation: 45-16=29, Resulting Numbers: [18, 29]
Generated Node #0,2,2: 76:[18, 29] Operation: 45-16=29
Exploring Operation: 18-16=2, Resulting Numbers: [45, 2]
Generated Node #0,2,3: 76:[45, 2] Operation: 18-16=2
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 76:[45, 2], Operations: ['41-23=18', '18-16=2']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,76 unequal: No Solution
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,76 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:[18, 29], Operations: ['41-23=18', '45-16=29']
Exploring Operation: 18*29=522, Resulting Numbers: [522]
522,76 unequal: No Solution
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 18+29=47, Resulting Numbers: [47]
47,76 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:[16, 27], Operations: ['41-23=18', '45-18=27']
Exploring Operation: 16+27=43, Resulting Numbers: [43]
43,76 unequal: No Solution
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 16*27=432, Resulting Numbers: [432]
432,76 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:[45, 34], Operations: ['41-23=18', '16+18=34']
Exploring Operation: 45*34=1530, Resulting Numbers: [1530]
1530,76 unequal: No Solution
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,76 unequal: No Solution
Exploring Operation: 45+34=79, Resulting Numbers: [79]
79,76 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:[16, 19], Operations: ['45-23=22', '41-22=19']
Exploring Operation: 16*19=304, Resulting Numbers: [304]
304,76 unequal: No Solution
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Moving to Node #0,0,3
Current State: 76:[41, 38], Operations: ['45-23=22', '16+22=38']
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 41+38=79, Resulting Numbers: [79]
79,76 unequal: No Solution
Exploring Operation: 41*38=1558, Resulting Numbers: [1558]
1558,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[41, 6], Operations: ['45-23=22', '22-16=6']
Exploring Operation: 41+6=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 41*6=246, Resulting Numbers: [246]
246,76 unequal: No Solution
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[22, 25], Operations: ['45-23=22', '41-16=25']
Exploring Operation: 22+25=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 25-22=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 22*25=550, Resulting Numbers: [550]
550,76 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
35,
72,
36,
23
] | 94 | [
"35+72=107",
"36-23=13",
"107-13=94"
] | Current State: 94:[35, 72, 36, 23], Operations: []
Exploring Operation: 35+72=107, Resulting Numbers: [36, 23, 107]
Generated Node #2: [36, 23, 107] from Operation: 35+72=107
Current State: 94:[36, 23, 107], Operations: ['35+72=107']
Exploring Operation: 36-23=13, Resulting Numbers: [107, 13]
Generated Node #3: [107, 13] from Operation: 36-23=13
Current State: 94:[107, 13], Operations: ['35+72=107', '36-23=13']
Exploring Operation: 107-13=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[35, 72, 36, 23], Operations: []
Exploring Operation: 35-23=12, Resulting Numbers: [72, 36, 12]
Generated Node #0,0: 94:[72, 36, 12] Operation: 35-23=12
Exploring Operation: 72+23=95, Resulting Numbers: [35, 36, 95]
Generated Node #0,1: 94:[35, 36, 95] Operation: 72+23=95
Exploring Operation: 72/36=2, Resulting Numbers: [35, 23, 2]
Generated Node #0,2: 94:[35, 23, 2] Operation: 72/36=2
Exploring Operation: 72-35=37, Resulting Numbers: [36, 23, 37]
Generated Node #0,3: 94:[36, 23, 37] Operation: 72-35=37
Exploring Operation: 72-23=49, Resulting Numbers: [35, 36, 49]
Generated Node #0,4: 94:[35, 36, 49] Operation: 72-23=49
Moving to Node #0,1
Current State: 94:[35, 36, 95], Operations: ['72+23=95']
Exploring Operation: 36-35=1, Resulting Numbers: [95, 1]
Generated Node #0,1,0: 94:[95, 1] Operation: 36-35=1
Exploring Operation: 35+36=71, Resulting Numbers: [95, 71]
Generated Node #0,1,1: 94:[95, 71] Operation: 35+36=71
Exploring Operation: 95-35=60, Resulting Numbers: [36, 60]
Generated Node #0,1,2: 94:[36, 60] Operation: 95-35=60
Exploring Operation: 35+95=130, Resulting Numbers: [36, 130]
Generated Node #0,1,3: 94:[36, 130] Operation: 35+95=130
Exploring Operation: 95-36=59, Resulting Numbers: [35, 59]
Generated Node #0,1,4: 94:[35, 59] Operation: 95-36=59
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[95, 1], Operations: ['72+23=95', '36-35=1']
Exploring Operation: 95+1=96, Resulting Numbers: [96]
96,94 unequal: No Solution
Exploring Operation: 95/1=95, Resulting Numbers: [95]
95,94 unequal: No Solution
Exploring Operation: 95*1=95, Resulting Numbers: [95]
95,94 unequal: No Solution
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[35, 72, 36, 23], Operations: []
Exploring Operation: 72+23=95, Resulting Numbers: [35, 36, 95]
Generated Node #0,1: 94:[35, 36, 95] Operation: 72+23=95
Moving to Node #0,1
Current State: 94:[35, 36, 95], Operations: ['72+23=95']
Exploring Operation: 36-35=1, Resulting Numbers: [95, 1]
Generated Node #0,1,0: 94:[95, 1] Operation: 36-35=1
Moving to Node #0,1,0
Current State: 94:[95, 1], Operations: ['72+23=95', '36-35=1']
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
68,
66,
88,
91
] | 94 | [
"68-66=2",
"91*2=182",
"182-88=94"
] | Current State: 94:[68, 66, 88, 91], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [88, 91, 2]
Generated Node #2: [88, 91, 2] from Operation: 68-66=2
Current State: 94:[88, 91, 2], Operations: ['68-66=2']
Exploring Operation: 91*2=182, Resulting Numbers: [88, 182]
Generated Node #3: [88, 182] from Operation: 91*2=182
Current State: 94:[88, 182], Operations: ['68-66=2', '91*2=182']
Exploring Operation: 182-88=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[68, 66, 88, 91], Operations: []
Exploring Operation: 88-68=20, Resulting Numbers: [66, 91, 20]
Generated Node #0,0: 94:[66, 91, 20] Operation: 88-68=20
Exploring Operation: 91-88=3, Resulting Numbers: [68, 66, 3]
Generated Node #0,1: 94:[68, 66, 3] Operation: 91-88=3
Exploring Operation: 88-66=22, Resulting Numbers: [68, 91, 22]
Generated Node #0,2: 94:[68, 91, 22] Operation: 88-66=22
Exploring Operation: 68-66=2, Resulting Numbers: [88, 91, 2]
Generated Node #0,3: 94:[88, 91, 2] Operation: 68-66=2
Moving to Node #0,3
Current State: 94:[88, 91, 2], Operations: ['68-66=2']
Exploring Operation: 88+2=90, Resulting Numbers: [91, 90]
Generated Node #0,3,0: 94:[91, 90] Operation: 88+2=90
Exploring Operation: 88/2=44, Resulting Numbers: [91, 44]
Generated Node #0,3,1: 94:[91, 44] Operation: 88/2=44
Exploring Operation: 91+2=93, Resulting Numbers: [88, 93]
Generated Node #0,3,2: 94:[88, 93] Operation: 91+2=93
Exploring Operation: 91-88=3, Resulting Numbers: [2, 3]
Generated Node #0,3,3: 94:[2, 3] Operation: 91-88=3
Moving to Node #0,0
Current State: 94:[66, 91, 20], Operations: ['88-68=20']
Exploring Operation: 91-66=25, Resulting Numbers: [20, 25]
Generated Node #0,0,0: 94:[20, 25] Operation: 91-66=25
Exploring Operation: 66-20=46, Resulting Numbers: [91, 46]
Generated Node #0,0,1: 94:[91, 46] Operation: 66-20=46
Exploring Operation: 91+20=111, Resulting Numbers: [66, 111]
Generated Node #0,0,2: 94:[66, 111] Operation: 91+20=111
Exploring Operation: 66+20=86, Resulting Numbers: [91, 86]
Generated Node #0,0,3: 94:[91, 86] Operation: 66+20=86
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 94:[91, 46], Operations: ['88-68=20', '66-20=46']
Exploring Operation: 91+46=137, Resulting Numbers: [137]
137,94 unequal: No Solution
Exploring Operation: 91*46=4186, Resulting Numbers: [4186]
4186,94 unequal: No Solution
Exploring Operation: 91-46=45, Resulting Numbers: [45]
45,94 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:[91, 86], Operations: ['88-68=20', '66+20=86']
Exploring Operation: 91-86=5, Resulting Numbers: [5]
5,94 unequal: No Solution
Exploring Operation: 91*86=7826, Resulting Numbers: [7826]
7826,94 unequal: No Solution
Exploring Operation: 91+86=177, Resulting Numbers: [177]
177,94 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:[66, 111], Operations: ['88-68=20', '91+20=111']
Exploring Operation: 111-66=45, Resulting Numbers: [45]
45,94 unequal: No Solution
Exploring Operation: 66+111=177, Resulting Numbers: [177]
177,94 unequal: No Solution
Exploring Operation: 66*111=7326, Resulting Numbers: [7326]
7326,94 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:[20, 25], Operations: ['88-68=20', '91-66=25']
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,94 unequal: No Solution
Exploring Operation: 20+25=45, Resulting Numbers: [45]
45,94 unequal: No Solution
Exploring Operation: 20*25=500, Resulting Numbers: [500]
500,94 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:[68, 66, 3], Operations: ['91-88=3']
Exploring Operation: 66-3=63, Resulting Numbers: [68, 63]
Generated Node #0,1,0: 94:[68, 63] Operation: 66-3=63
Exploring Operation: 68+66=134, Resulting Numbers: [3, 134]
Generated Node #0,1,1: 94:[3, 134] Operation: 68+66=134
Exploring Operation: 68-3=65, Resulting Numbers: [66, 65]
Generated Node #0,1,2: 94:[66, 65] Operation: 68-3=65
Exploring Operation: 68-66=2, Resulting Numbers: [3, 2]
Generated Node #0,1,3: 94:[3, 2] Operation: 68-66=2
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 94:[3, 2], Operations: ['91-88=3', '68-66=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,94 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[68, 63], Operations: ['91-88=3', '66-3=63']
Exploring Operation: 68*63=4284, Resulting Numbers: [4284]
4284,94 unequal: No Solution
Exploring Operation: 68+63=131, Resulting Numbers: [131]
131,94 unequal: No Solution
Exploring Operation: 68-63=5, Resulting Numbers: [5]
5,94 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:[66, 65], Operations: ['91-88=3', '68-3=65']
Exploring Operation: 66*65=4290, Resulting Numbers: [4290]
4290,94 unequal: No Solution
Exploring Operation: 66+65=131, Resulting Numbers: [131]
131,94 unequal: No Solution
Exploring Operation: 66-65=1, Resulting Numbers: [1]
1,94 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:[3, 134], Operations: ['91-88=3', '68+66=134']
Exploring Operation: 3+134=137, Resulting Numbers: [137]
137,94 unequal: No Solution
Exploring Operation: 3*134=402, Resulting Numbers: [402]
402,94 unequal: No Solution
Exploring Operation: 134-3=131, Resulting Numbers: [131]
131,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 94:[68, 91, 22], Operations: ['88-66=22']
Exploring Operation: 91+22=113, Resulting Numbers: [68, 113]
Generated Node #0,2,0: 94:[68, 113] Operation: 91+22=113
Exploring Operation: 68-22=46, Resulting Numbers: [91, 46]
Generated Node #0,2,1: 94:[91, 46] Operation: 68-22=46
Exploring Operation: 91-68=23, Resulting Numbers: [22, 23]
Generated Node #0,2,2: 94:[22, 23] Operation: 91-68=23
Exploring Operation: 68+22=90, Resulting Numbers: [91, 90]
Generated Node #0,2,3: 94:[91, 90] Operation: 68+22=90
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 94:[91, 46], Operations: ['88-66=22', '68-22=46']
Exploring Operation: 91-46=45, Resulting Numbers: [45]
45,94 unequal: No Solution
Exploring Operation: 91*46=4186, Resulting Numbers: [4186]
4186,94 unequal: No Solution
Exploring Operation: 91+46=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 #0,2,3
Current State: 94:[91, 90], Operations: ['88-66=22', '68+22=90']
Exploring Operation: 91-90=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 91*90=8190, Resulting Numbers: [8190]
8190,94 unequal: No Solution
Exploring Operation: 91+90=181, Resulting Numbers: [181]
181,94 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:[68, 113], Operations: ['88-66=22', '91+22=113']
Exploring Operation: 68*113=7684, Resulting Numbers: [7684]
7684,94 unequal: No Solution
Exploring Operation: 113-68=45, Resulting Numbers: [45]
45,94 unequal: No Solution
Exploring Operation: 68+113=181, Resulting Numbers: [181]
181,94 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:[22, 23], Operations: ['88-66=22', '91-68=23']
Exploring Operation: 22+23=45, Resulting Numbers: [45]
45,94 unequal: No Solution
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 22*23=506, Resulting Numbers: [506]
506,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,3
Current State: 94:[2, 3], Operations: ['68-66=2', '91-88=3']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,94 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,94 unequal: No Solution
Moving to Node #0,3,1
Current State: 94:[91, 44], Operations: ['68-66=2', '88/2=44']
Exploring Operation: 91*44=4004, Resulting Numbers: [4004]
4004,94 unequal: No Solution
Exploring Operation: 91-44=47, Resulting Numbers: [47]
47,94 unequal: No Solution
Exploring Operation: 91+44=135, Resulting Numbers: [135]
135,94 unequal: No Solution
Moving to Node #0,3,2
Current State: 94:[88, 93], Operations: ['68-66=2', '91+2=93']
Exploring Operation: 93-88=5, Resulting Numbers: [5]
5,94 unequal: No Solution
Exploring Operation: 88*93=8184, Resulting Numbers: [8184]
8184,94 unequal: No Solution
Exploring Operation: 88+93=181, Resulting Numbers: [181]
181,94 unequal: No Solution
Moving to Node #0,3,0
Current State: 94:[91, 90], Operations: ['68-66=2', '88+2=90']
Exploring Operation: 91+90=181, Resulting Numbers: [181]
181,94 unequal: No Solution
Exploring Operation: 91-90=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 91*90=8190, Resulting Numbers: [8190]
8190,94 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
62,
26,
33,
15
] | 18 | [
"62-26=36",
"33-15=18",
"36-18=18"
] | Current State: 18:[62, 26, 33, 15], Operations: []
Exploring Operation: 62-26=36, Resulting Numbers: [33, 15, 36]
Generated Node #2: [33, 15, 36] from Operation: 62-26=36
Current State: 18:[33, 15, 36], Operations: ['62-26=36']
Exploring Operation: 33-15=18, Resulting Numbers: [36, 18]
Generated Node #3: [36, 18] from Operation: 33-15=18
Current State: 18:[36, 18], Operations: ['62-26=36', '33-15=18']
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[62, 26, 33, 15], Operations: []
Exploring Operation: 62-33=29, Resulting Numbers: [26, 15, 29]
Generated Node #0,0: 18:[26, 15, 29] Operation: 62-33=29
Exploring Operation: 62-26=36, Resulting Numbers: [33, 15, 36]
Generated Node #0,1: 18:[33, 15, 36] Operation: 62-26=36
Moving to Node #0,0
Current State: 18:[26, 15, 29], Operations: ['62-33=29']
Exploring Operation: 29-15=14, Resulting Numbers: [26, 14]
Generated Node #0,0,0: 18:[26, 14] Operation: 29-15=14
Exploring Operation: 29-26=3, Resulting Numbers: [15, 3]
Generated Node #0,0,1: 18:[15, 3] Operation: 29-26=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 18:[15, 3], Operations: ['62-33=29', '29-26=3']
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[62, 26, 33, 15], Operations: []
Exploring Operation: 62-33=29, Resulting Numbers: [26, 15, 29]
Generated Node #0,0: 18:[26, 15, 29] Operation: 62-33=29
Moving to Node #0,0
Current State: 18:[26, 15, 29], Operations: ['62-33=29']
Exploring Operation: 29-26=3, Resulting Numbers: [15, 3]
Generated Node #0,0,1: 18:[15, 3] Operation: 29-26=3
Moving to Node #0,0,1
Current State: 18:[15, 3], Operations: ['62-33=29', '29-26=3']
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
33,
18,
24,
96
] | 94 | [
"33-24=9",
"18/9=2",
"96-2=94"
] | Current State: 94:[33, 18, 24, 96], Operations: []
Exploring Operation: 33-24=9, Resulting Numbers: [18, 96, 9]
Generated Node #2: [18, 96, 9] from Operation: 33-24=9
Current State: 94:[18, 96, 9], Operations: ['33-24=9']
Exploring Operation: 18/9=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 18/9=2
Current State: 94:[96, 2], Operations: ['33-24=9', '18/9=2']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[33, 18, 24, 96], Operations: []
Exploring Operation: 33+24=57, Resulting Numbers: [18, 96, 57]
Generated Node #0,0: 94:[18, 96, 57] Operation: 33+24=57
Exploring Operation: 24-18=6, Resulting Numbers: [33, 96, 6]
Generated Node #0,1: 94:[33, 96, 6] Operation: 24-18=6
Exploring Operation: 33-24=9, Resulting Numbers: [18, 96, 9]
Generated Node #0,2: 94:[18, 96, 9] Operation: 33-24=9
Exploring Operation: 18+24=42, Resulting Numbers: [33, 96, 42]
Generated Node #0,3: 94:[33, 96, 42] Operation: 18+24=42
Exploring Operation: 33+18=51, Resulting Numbers: [24, 96, 51]
Generated Node #0,4: 94:[24, 96, 51] Operation: 33+18=51
Moving to Node #0,1
Current State: 94:[33, 96, 6], Operations: ['24-18=6']
Exploring Operation: 96+6=102, Resulting Numbers: [33, 102]
Generated Node #0,1,0: 94:[33, 102] Operation: 96+6=102
Exploring Operation: 33+6=39, Resulting Numbers: [96, 39]
Generated Node #0,1,1: 94:[96, 39] Operation: 33+6=39
Exploring Operation: 96-33=63, Resulting Numbers: [6, 63]
Generated Node #0,1,2: 94:[6, 63] Operation: 96-33=63
Exploring Operation: 33-6=27, Resulting Numbers: [96, 27]
Generated Node #0,1,3: 94:[96, 27] Operation: 33-6=27
Exploring Operation: 96-6=90, Resulting Numbers: [33, 90]
Generated Node #0,1,4: 94:[33, 90] Operation: 96-6=90
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 94:[96, 39], Operations: ['24-18=6', '33+6=39']
Exploring Operation: 96+39=135, Resulting Numbers: [135]
135,94 unequal: No Solution
Exploring Operation: 96*39=3744, Resulting Numbers: [3744]
3744,94 unequal: No Solution
Exploring Operation: 96-39=57, Resulting Numbers: [57]
57,94 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:[33, 90], Operations: ['24-18=6', '96-6=90']
Exploring Operation: 33*90=2970, Resulting Numbers: [2970]
2970,94 unequal: No Solution
Exploring Operation: 33+90=123, Resulting Numbers: [123]
123,94 unequal: No Solution
Exploring Operation: 90-33=57, Resulting Numbers: [57]
57,94 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:[6, 63], Operations: ['24-18=6', '96-33=63']
Exploring Operation: 6+63=69, Resulting Numbers: [69]
69,94 unequal: No Solution
Exploring Operation: 6*63=378, Resulting Numbers: [378]
378,94 unequal: No Solution
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[33, 102], Operations: ['24-18=6', '96+6=102']
Exploring Operation: 102-33=69, Resulting Numbers: [69]
69,94 unequal: No Solution
Exploring Operation: 33*102=3366, Resulting Numbers: [3366]
3366,94 unequal: No Solution
Exploring Operation: 33+102=135, Resulting Numbers: [135]
135,94 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:[96, 27], Operations: ['24-18=6', '33-6=27']
Exploring Operation: 96-27=69, Resulting Numbers: [69]
69,94 unequal: No Solution
Exploring Operation: 96+27=123, Resulting Numbers: [123]
123,94 unequal: No Solution
Exploring Operation: 96*27=2592, Resulting Numbers: [2592]
2592,94 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: 94:[33, 96, 42], Operations: ['18+24=42']
Exploring Operation: 42-33=9, Resulting Numbers: [96, 9]
Generated Node #0,3,0: 94:[96, 9] Operation: 42-33=9
Exploring Operation: 33+96=129, Resulting Numbers: [42, 129]
Generated Node #0,3,1: 94:[42, 129] Operation: 33+96=129
Exploring Operation: 33+42=75, Resulting Numbers: [96, 75]
Generated Node #0,3,2: 94:[96, 75] Operation: 33+42=75
Exploring Operation: 96-33=63, Resulting Numbers: [42, 63]
Generated Node #0,3,3: 94:[42, 63] Operation: 96-33=63
Exploring Operation: 96-42=54, Resulting Numbers: [33, 54]
Generated Node #0,3,4: 94:[33, 54] Operation: 96-42=54
Moving to Node #0,2
Current State: 94:[18, 96, 9], Operations: ['33-24=9']
Exploring Operation: 18+9=27, Resulting Numbers: [96, 27]
Generated Node #0,2,0: 94:[96, 27] Operation: 18+9=27
Exploring Operation: 18-9=9, Resulting Numbers: [96, 9]
Generated Node #0,2,1: 94:[96, 9] Operation: 18-9=9
Exploring Operation: 96-9=87, Resulting Numbers: [18, 87]
Generated Node #0,2,2: 94:[18, 87] Operation: 96-9=87
Exploring Operation: 96-18=78, Resulting Numbers: [9, 78]
Generated Node #0,2,3: 94:[9, 78] Operation: 96-18=78
Exploring Operation: 18/9=2, Resulting Numbers: [96, 2]
Generated Node #0,2,4: 94:[96, 2] Operation: 18/9=2
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 94:[96, 2], Operations: ['33-24=9', '18/9=2']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[33, 18, 24, 96], Operations: []
Exploring Operation: 33-24=9, Resulting Numbers: [18, 96, 9]
Generated Node #0,2: 94:[18, 96, 9] Operation: 33-24=9
Moving to Node #0,2
Current State: 94:[18, 96, 9], Operations: ['33-24=9']
Exploring Operation: 18/9=2, Resulting Numbers: [96, 2]
Generated Node #0,2,4: 94:[96, 2] Operation: 18/9=2
Moving to Node #0,2,4
Current State: 94:[96, 2], Operations: ['33-24=9', '18/9=2']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_5 | sum_heuristic |
[
76,
63,
55,
79
] | 24 | [
"79-76=3",
"63-55=8",
"3*8=24"
] | Current State: 24:[76, 63, 55, 79], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [63, 55, 3]
Generated Node #2: [63, 55, 3] from Operation: 79-76=3
Current State: 24:[63, 55, 3], Operations: ['79-76=3']
Exploring Operation: 63-55=8, Resulting Numbers: [3, 8]
Generated Node #3: [3, 8] from Operation: 63-55=8
Current State: 24:[3, 8], Operations: ['79-76=3', '63-55=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[76, 63, 55, 79], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [63, 55, 3]
Generated Node #0,0: 24:[63, 55, 3] Operation: 79-76=3
Exploring Operation: 76-63=13, Resulting Numbers: [55, 79, 13]
Generated Node #0,1: 24:[55, 79, 13] Operation: 76-63=13
Moving to Node #0,0
Current State: 24:[63, 55, 3], Operations: ['79-76=3']
Exploring Operation: 63/3=21, Resulting Numbers: [55, 21]
Generated Node #0,0,0: 24:[55, 21] Operation: 63/3=21
Exploring Operation: 63-55=8, Resulting Numbers: [3, 8]
Generated Node #0,0,1: 24:[3, 8] Operation: 63-55=8
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 24:[3, 8], Operations: ['79-76=3', '63-55=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,24 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[76, 63, 55, 79], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [63, 55, 3]
Generated Node #0,0: 24:[63, 55, 3] Operation: 79-76=3
Moving to Node #0,0
Current State: 24:[63, 55, 3], Operations: ['79-76=3']
Exploring Operation: 63-55=8, Resulting Numbers: [3, 8]
Generated Node #0,0,1: 24:[3, 8] Operation: 63-55=8
Moving to Node #0,0,1
Current State: 24:[3, 8], Operations: ['79-76=3', '63-55=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
16,
7,
4,
61
] | 56 | [
"16-7=9",
"4+61=65",
"65-9=56"
] | Current State: 56:[16, 7, 4, 61], Operations: []
Exploring Operation: 16-7=9, Resulting Numbers: [4, 61, 9]
Generated Node #2: [4, 61, 9] from Operation: 16-7=9
Current State: 56:[4, 61, 9], Operations: ['16-7=9']
Exploring Operation: 4+61=65, Resulting Numbers: [9, 65]
Generated Node #3: [9, 65] from Operation: 4+61=65
Current State: 56:[9, 65], Operations: ['16-7=9', '4+61=65']
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[16, 7, 4, 61], Operations: []
Exploring Operation: 16-7=9, Resulting Numbers: [4, 61, 9]
Generated Node #0,0: 56:[4, 61, 9] Operation: 16-7=9
Exploring Operation: 61-4=57, Resulting Numbers: [16, 7, 57]
Generated Node #0,1: 56:[16, 7, 57] Operation: 61-4=57
Exploring Operation: 61-7=54, Resulting Numbers: [16, 4, 54]
Generated Node #0,2: 56:[16, 4, 54] Operation: 61-7=54
Exploring Operation: 16/4=4, Resulting Numbers: [7, 61, 4]
Generated Node #0,3: 56:[7, 61, 4] Operation: 16/4=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[16, 7, 57], Operations: ['61-4=57']
Exploring Operation: 7+57=64, Resulting Numbers: [16, 64]
Generated Node #0,1,0: 56:[16, 64] Operation: 7+57=64
Exploring Operation: 16-7=9, Resulting Numbers: [57, 9]
Generated Node #0,1,1: 56:[57, 9] Operation: 16-7=9
Exploring Operation: 16+7=23, Resulting Numbers: [57, 23]
Generated Node #0,1,2: 56:[57, 23] Operation: 16+7=23
Exploring Operation: 57-7=50, Resulting Numbers: [16, 50]
Generated Node #0,1,3: 56:[16, 50] Operation: 57-7=50
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 56:[57, 9], Operations: ['61-4=57', '16-7=9']
Exploring Operation: 57+9=66, Resulting Numbers: [66]
66,56 unequal: No Solution
Exploring Operation: 57*9=513, Resulting Numbers: [513]
513,56 unequal: No Solution
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,56 unequal: No Solution
No 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: 56:[57, 23], Operations: ['61-4=57', '16+7=23']
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,56 unequal: No Solution
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,56 unequal: No Solution
Exploring Operation: 57*23=1311, Resulting Numbers: [1311]
1311,56 unequal: No Solution
No 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: 56:[16, 50], Operations: ['61-4=57', '57-7=50']
Exploring Operation: 16*50=800, Resulting Numbers: [800]
800,56 unequal: No Solution
Exploring Operation: 16+50=66, Resulting Numbers: [66]
66,56 unequal: No Solution
Exploring Operation: 50-16=34, Resulting Numbers: [34]
34,56 unequal: No Solution
No 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: 56:[16, 64], Operations: ['61-4=57', '7+57=64']
Exploring Operation: 16*64=1024, Resulting Numbers: [1024]
1024,56 unequal: No Solution
Exploring Operation: 16+64=80, Resulting Numbers: [80]
80,56 unequal: No Solution
Exploring Operation: 64/16=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 64-16=48, Resulting Numbers: [48]
48,56 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: 56:[16, 4, 54], Operations: ['61-7=54']
Exploring Operation: 16-4=12, Resulting Numbers: [54, 12]
Generated Node #0,2,0: 56:[54, 12] Operation: 16-4=12
Exploring Operation: 16/4=4, Resulting Numbers: [54, 4]
Generated Node #0,2,1: 56:[54, 4] Operation: 16/4=4
Exploring Operation: 4+54=58, Resulting Numbers: [16, 58]
Generated Node #0,2,2: 56:[16, 58] Operation: 4+54=58
Exploring Operation: 16+4=20, Resulting Numbers: [54, 20]
Generated Node #0,2,3: 56:[54, 20] Operation: 16+4=20
Moving to Node #0,2,1
Current State: 56:[54, 4], Operations: ['61-7=54', '16/4=4']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,56 unequal: No Solution
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,56 unequal: No Solution
Exploring Operation: 54*4=216, Resulting Numbers: [216]
216,56 unequal: No Solution
Moving to Node #0,2,2
Current State: 56:[16, 58], Operations: ['61-7=54', '4+54=58']
Exploring Operation: 16+58=74, Resulting Numbers: [74]
74,56 unequal: No Solution
Exploring Operation: 16*58=928, Resulting Numbers: [928]
928,56 unequal: No Solution
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,56 unequal: No Solution
Moving to Node #0,2,0
Current State: 56:[54, 12], Operations: ['61-7=54', '16-4=12']
Exploring Operation: 54-12=42, Resulting Numbers: [42]
42,56 unequal: No Solution
Exploring Operation: 54+12=66, Resulting Numbers: [66]
66,56 unequal: No Solution
Exploring Operation: 54*12=648, Resulting Numbers: [648]
648,56 unequal: No Solution
Moving to Node #0,2,3
Current State: 56:[54, 20], Operations: ['61-7=54', '16+4=20']
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,56 unequal: No Solution
Exploring Operation: 54*20=1080, Resulting Numbers: [1080]
1080,56 unequal: No Solution
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 56:[7, 61, 4], Operations: ['16/4=4']
Exploring Operation: 61-4=57, Resulting Numbers: [7, 57]
Generated Node #0,3,0: 56:[7, 57] Operation: 61-4=57
Exploring Operation: 7-4=3, Resulting Numbers: [61, 3]
Generated Node #0,3,1: 56:[61, 3] Operation: 7-4=3
Exploring Operation: 7*4=28, Resulting Numbers: [61, 28]
Generated Node #0,3,2: 56:[61, 28] Operation: 7*4=28
Exploring Operation: 61-7=54, Resulting Numbers: [4, 54]
Generated Node #0,3,3: 56:[4, 54] Operation: 61-7=54
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 56:[7, 57], Operations: ['16/4=4', '61-4=57']
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,56 unequal: No Solution
Exploring Operation: 7+57=64, Resulting Numbers: [64]
64,56 unequal: No Solution
Exploring Operation: 7*57=399, Resulting Numbers: [399]
399,56 unequal: No Solution
No 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: 56:[4, 54], Operations: ['16/4=4', '61-7=54']
Exploring Operation: 4+54=58, Resulting Numbers: [58]
58,56 unequal: No Solution
Exploring Operation: 4*54=216, Resulting Numbers: [216]
216,56 unequal: No Solution
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,56 unequal: No Solution
No 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: 56:[61, 28], Operations: ['16/4=4', '7*4=28']
Exploring Operation: 61+28=89, Resulting Numbers: [89]
89,56 unequal: No Solution
Exploring Operation: 61*28=1708, Resulting Numbers: [1708]
1708,56 unequal: No Solution
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,56 unequal: No Solution
No 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: 56:[61, 3], Operations: ['16/4=4', '7-4=3']
Exploring Operation: 61+3=64, Resulting Numbers: [64]
64,56 unequal: No Solution
Exploring Operation: 61*3=183, Resulting Numbers: [183]
183,56 unequal: No Solution
Exploring Operation: 61-3=58, Resulting Numbers: [58]
58,56 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: 56:[4, 61, 9], Operations: ['16-7=9']
Exploring Operation: 4+9=13, Resulting Numbers: [61, 13]
Generated Node #0,0,0: 56:[61, 13] Operation: 4+9=13
Exploring Operation: 61-4=57, Resulting Numbers: [9, 57]
Generated Node #0,0,1: 56:[9, 57] Operation: 61-4=57
Exploring Operation: 9-4=5, Resulting Numbers: [61, 5]
Generated Node #0,0,2: 56:[61, 5] Operation: 9-4=5
Exploring Operation: 61-9=52, Resulting Numbers: [4, 52]
Generated Node #0,0,3: 56:[4, 52] Operation: 61-9=52
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 56:[9, 57], Operations: ['16-7=9', '61-4=57']
Exploring Operation: 9*57=513, Resulting Numbers: [513]
513,56 unequal: No Solution
Exploring Operation: 57-9=48, Resulting Numbers: [48]
48,56 unequal: No Solution
Exploring Operation: 9+57=66, Resulting Numbers: [66]
66,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 56:[4, 52], Operations: ['16-7=9', '61-9=52']
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,56 unequal: No Solution
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[16, 7, 4, 61], Operations: []
Exploring Operation: 16-7=9, Resulting Numbers: [4, 61, 9]
Generated Node #0,0: 56:[4, 61, 9] Operation: 16-7=9
Moving to Node #0,0
Current State: 56:[4, 61, 9], Operations: ['16-7=9']
Exploring Operation: 61-9=52, Resulting Numbers: [4, 52]
Generated Node #0,0,3: 56:[4, 52] Operation: 61-9=52
Moving to Node #0,0,3
Current State: 56:[4, 52], Operations: ['16-7=9', '61-9=52']
Exploring Operation: 4+52=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.942708 | hs_4 | sum_heuristic |
[
56,
1,
80,
61
] | 20 | [
"56+1=57",
"61-57=4",
"80/4=20"
] | Current State: 20:[56, 1, 80, 61], Operations: []
Exploring Operation: 56+1=57, Resulting Numbers: [80, 61, 57]
Generated Node #2: [80, 61, 57] from Operation: 56+1=57
Current State: 20:[80, 61, 57], Operations: ['56+1=57']
Exploring Operation: 61-57=4, Resulting Numbers: [80, 4]
Generated Node #3: [80, 4] from Operation: 61-57=4
Current State: 20:[80, 4], Operations: ['56+1=57', '61-57=4']
Exploring Operation: 80/4=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[56, 1, 80, 61], Operations: []
Exploring Operation: 80-61=19, Resulting Numbers: [56, 1, 19]
Generated Node #0,0: 20:[56, 1, 19] Operation: 80-61=19
Exploring Operation: 80-56=24, Resulting Numbers: [1, 61, 24]
Generated Node #0,1: 20:[1, 61, 24] Operation: 80-56=24
Exploring Operation: 61-56=5, Resulting Numbers: [1, 80, 5]
Generated Node #0,2: 20:[1, 80, 5] Operation: 61-56=5
Moving to Node #0,0
Current State: 20:[56, 1, 19], Operations: ['80-61=19']
Exploring Operation: 56-1=55, Resulting Numbers: [19, 55]
Generated Node #0,0,0: 20:[19, 55] Operation: 56-1=55
Exploring Operation: 1+19=20, Resulting Numbers: [56, 20]
Generated Node #0,0,1: 20:[56, 20] Operation: 1+19=20
Exploring Operation: 56-19=37, Resulting Numbers: [1, 37]
Generated Node #0,0,2: 20:[1, 37] Operation: 56-19=37
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 20:[1, 37], Operations: ['80-61=19', '56-19=37']
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,20 unequal: No Solution
Exploring Operation: 37/1=37, Resulting Numbers: [37]
37,20 unequal: No Solution
Exploring Operation: 1*37=37, Resulting Numbers: [37]
37,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 20:[19, 55], Operations: ['80-61=19', '56-1=55']
Exploring Operation: 19+55=74, Resulting Numbers: [74]
74,20 unequal: No Solution
Exploring Operation: 19*55=1045, Resulting Numbers: [1045]
1045,20 unequal: No Solution
Exploring Operation: 55-19=36, Resulting Numbers: [36]
36,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 20:[56, 20], Operations: ['80-61=19', '1+19=20']
Exploring Operation: 56-20=36, Resulting Numbers: [36]
36,20 unequal: No Solution
Exploring Operation: 56*20=1120, Resulting Numbers: [1120]
1120,20 unequal: No Solution
Exploring Operation: 56+20=76, Resulting Numbers: [76]
76,20 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 20:[1, 61, 24], Operations: ['80-56=24']
Exploring Operation: 24-1=23, Resulting Numbers: [61, 23]
Generated Node #0,1,0: 20:[61, 23] Operation: 24-1=23
Exploring Operation: 61-1=60, Resulting Numbers: [24, 60]
Generated Node #0,1,1: 20:[24, 60] Operation: 61-1=60
Exploring Operation: 61-24=37, Resulting Numbers: [1, 37]
Generated Node #0,1,2: 20:[1, 37] Operation: 61-24=37
Moving to Node #0,2
Current State: 20:[1, 80, 5], Operations: ['61-56=5']
Exploring Operation: 80-5=75, Resulting Numbers: [1, 75]
Generated Node #0,2,0: 20:[1, 75] Operation: 80-5=75
Exploring Operation: 80/5=16, Resulting Numbers: [1, 16]
Generated Node #0,2,1: 20:[1, 16] Operation: 80/5=16
Exploring Operation: 80-1=79, Resulting Numbers: [5, 79]
Generated Node #0,2,2: 20:[5, 79] Operation: 80-1=79
Moving to Node #0,2,1
Current State: 20:[1, 16], Operations: ['61-56=5', '80/5=16']
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,20 unequal: No Solution
Exploring Operation: 1*16=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Moving to Node #0,1,2
Current State: 20:[1, 37], Operations: ['80-56=24', '61-24=37']
Exploring Operation: 37/1=37, Resulting Numbers: [37]
37,20 unequal: No Solution
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,20 unequal: No Solution
Exploring Operation: 1*37=37, Resulting Numbers: [37]
37,20 unequal: No Solution
Moving to Node #0,1,1
Current State: 20:[24, 60], Operations: ['80-56=24', '61-1=60']
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,20 unequal: No Solution
Exploring Operation: 24+60=84, Resulting Numbers: [84]
84,20 unequal: No Solution
Exploring Operation: 24*60=1440, Resulting Numbers: [1440]
1440,20 unequal: No Solution
Moving to Node #0,1,0
Current State: 20:[61, 23], Operations: ['80-56=24', '24-1=23']
Exploring Operation: 61-23=38, Resulting Numbers: [38]
38,20 unequal: No Solution
Exploring Operation: 61*23=1403, Resulting Numbers: [1403]
1403,20 unequal: No Solution
Exploring Operation: 61+23=84, Resulting Numbers: [84]
84,20 unequal: No Solution
Moving to Node #0,2,0
Current State: 20:[1, 75], Operations: ['61-56=5', '80-5=75']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,20 unequal: No Solution
Exploring Operation: 1*75=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 75/1=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Moving to Node #0,2,2
Current State: 20:[5, 79], Operations: ['61-56=5', '80-1=79']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,20 unequal: No Solution
Exploring Operation: 5+79=84, Resulting Numbers: [84]
84,20 unequal: No Solution
Exploring Operation: 5*79=395, Resulting Numbers: [395]
395,20 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
72,
11,
10,
48
] | 10 | [
"72-10=62",
"48+62=110",
"110/11=10"
] | Current State: 10:[72, 11, 10, 48], Operations: []
Exploring Operation: 72-10=62, Resulting Numbers: [11, 48, 62]
Generated Node #2: [11, 48, 62] from Operation: 72-10=62
Current State: 10:[11, 48, 62], Operations: ['72-10=62']
Exploring Operation: 48+62=110, Resulting Numbers: [11, 110]
Generated Node #3: [11, 110] from Operation: 48+62=110
Current State: 10:[11, 110], Operations: ['72-10=62', '48+62=110']
Exploring Operation: 110/11=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[72, 11, 10, 48], Operations: []
Exploring Operation: 72-48=24, Resulting Numbers: [11, 10, 24]
Generated Node #0,0: 10:[11, 10, 24] Operation: 72-48=24
Exploring Operation: 72-10=62, Resulting Numbers: [11, 48, 62]
Generated Node #0,1: 10:[11, 48, 62] Operation: 72-10=62
Exploring Operation: 48-11=37, Resulting Numbers: [72, 10, 37]
Generated Node #0,2: 10:[72, 10, 37] Operation: 48-11=37
Exploring Operation: 72-11=61, Resulting Numbers: [10, 48, 61]
Generated Node #0,3: 10:[10, 48, 61] Operation: 72-11=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[11, 10, 24], Operations: ['72-48=24']
Exploring Operation: 11+10=21, Resulting Numbers: [24, 21]
Generated Node #0,0,0: 10:[24, 21] Operation: 11+10=21
Exploring Operation: 24-11=13, Resulting Numbers: [10, 13]
Generated Node #0,0,1: 10:[10, 13] Operation: 24-11=13
Exploring Operation: 11-10=1, Resulting Numbers: [24, 1]
Generated Node #0,0,2: 10:[24, 1] Operation: 11-10=1
Exploring Operation: 24-10=14, Resulting Numbers: [11, 14]
Generated Node #0,0,3: 10:[11, 14] Operation: 24-10=14
Moving to Node #0,0,1
Current State: 10:[10, 13], Operations: ['72-48=24', '24-11=13']
Exploring Operation: 10*13=130, Resulting Numbers: [130]
130,10 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,10 unequal: No Solution
Moving to Node #0,0,3
Current State: 10:[11, 14], Operations: ['72-48=24', '24-10=14']
Exploring Operation: 11*14=154, Resulting Numbers: [154]
154,10 unequal: No Solution
Exploring Operation: 11+14=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Moving to Node #0,0,2
Current State: 10:[24, 1], Operations: ['72-48=24', '11-10=1']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,10 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,10 unequal: No Solution
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,10 unequal: No Solution
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Moving to Node #0,0,0
Current State: 10:[24, 21], Operations: ['72-48=24', '11+10=21']
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,10 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 10:[72, 10, 37], Operations: ['48-11=37']
Exploring Operation: 37-10=27, Resulting Numbers: [72, 27]
Generated Node #0,2,0: 10:[72, 27] Operation: 37-10=27
Exploring Operation: 72+10=82, Resulting Numbers: [37, 82]
Generated Node #0,2,1: 10:[37, 82] Operation: 72+10=82
Exploring Operation: 72-10=62, Resulting Numbers: [37, 62]
Generated Node #0,2,2: 10:[37, 62] Operation: 72-10=62
Exploring Operation: 72-37=35, Resulting Numbers: [10, 35]
Generated Node #0,2,3: 10:[10, 35] Operation: 72-37=35
Moving to Node #0,2,3
Current State: 10:[10, 35], Operations: ['48-11=37', '72-37=35']
Exploring Operation: 10*35=350, Resulting Numbers: [350]
350,10 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 10+35=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Moving to Node #0,2,2
Current State: 10:[37, 62], Operations: ['48-11=37', '72-10=62']
Exploring Operation: 37+62=99, Resulting Numbers: [99]
99,10 unequal: No Solution
Exploring Operation: 37*62=2294, Resulting Numbers: [2294]
2294,10 unequal: No Solution
Exploring Operation: 62-37=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Moving to Node #0,2,0
Current State: 10:[72, 27], Operations: ['48-11=37', '37-10=27']
Exploring Operation: 72+27=99, Resulting Numbers: [99]
99,10 unequal: No Solution
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 72*27=1944, Resulting Numbers: [1944]
1944,10 unequal: No Solution
Moving to Node #0,2,1
Current State: 10:[37, 82], Operations: ['48-11=37', '72+10=82']
Exploring Operation: 37+82=119, Resulting Numbers: [119]
119,10 unequal: No Solution
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,10 unequal: No Solution
Exploring Operation: 37*82=3034, Resulting Numbers: [3034]
3034,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 10:[10, 48, 61], Operations: ['72-11=61']
Exploring Operation: 61-10=51, Resulting Numbers: [48, 51]
Generated Node #0,3,0: 10:[48, 51] Operation: 61-10=51
Exploring Operation: 48-10=38, Resulting Numbers: [61, 38]
Generated Node #0,3,1: 10:[61, 38] Operation: 48-10=38
Exploring Operation: 10+48=58, Resulting Numbers: [61, 58]
Generated Node #0,3,2: 10:[61, 58] Operation: 10+48=58
Exploring Operation: 61-48=13, Resulting Numbers: [10, 13]
Generated Node #0,3,3: 10:[10, 13] Operation: 61-48=13
Moving to Node #0,3,3
Current State: 10:[10, 13], Operations: ['72-11=61', '61-48=13']
Exploring Operation: 10*13=130, Resulting Numbers: [130]
130,10 unequal: No Solution
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,10 unequal: No Solution
Moving to Node #0,3,1
Current State: 10:[61, 38], Operations: ['72-11=61', '48-10=38']
Exploring Operation: 61-38=23, Resulting Numbers: [23]
23,10 unequal: No Solution
Exploring Operation: 61+38=99, Resulting Numbers: [99]
99,10 unequal: No Solution
Exploring Operation: 61*38=2318, Resulting Numbers: [2318]
2318,10 unequal: No Solution
Moving to Node #0,3,0
Current State: 10:[48, 51], Operations: ['72-11=61', '61-10=51']
Exploring Operation: 48*51=2448, Resulting Numbers: [2448]
2448,10 unequal: No Solution
Exploring Operation: 51-48=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 48+51=99, Resulting Numbers: [99]
99,10 unequal: No Solution
Moving to Node #0,3,2
Current State: 10:[61, 58], Operations: ['72-11=61', '10+48=58']
Exploring Operation: 61-58=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 61+58=119, Resulting Numbers: [119]
119,10 unequal: No Solution
Exploring Operation: 61*58=3538, Resulting Numbers: [3538]
3538,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 10:[11, 48, 62], Operations: ['72-10=62']
Exploring Operation: 62-48=14, Resulting Numbers: [11, 14]
Generated Node #0,1,0: 10:[11, 14] Operation: 62-48=14
Exploring Operation: 62-11=51, Resulting Numbers: [48, 51]
Generated Node #0,1,1: 10:[48, 51] Operation: 62-11=51
Exploring Operation: 48-11=37, Resulting Numbers: [62, 37]
Generated Node #0,1,2: 10:[62, 37] Operation: 48-11=37
Exploring Operation: 11+48=59, Resulting Numbers: [62, 59]
Generated Node #0,1,3: 10:[62, 59] Operation: 11+48=59
Moving to Node #0,1,0
Current State: 10:[11, 14], Operations: ['72-10=62', '62-48=14']
Exploring Operation: 11*14=154, Resulting Numbers: [154]
154,10 unequal: No Solution
Exploring Operation: 11+14=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Moving to Node #0,1,2
Current State: 10:[62, 37], Operations: ['72-10=62', '48-11=37']
Exploring Operation: 62-37=25, Resulting Numbers: [25]
25,10 unequal: No Solution
Exploring Operation: 62*37=2294, Resulting Numbers: [2294]
2294,10 unequal: No Solution
Exploring Operation: 62+37=99, Resulting Numbers: [99]
99,10 unequal: No Solution
Moving to Node #0,1,1
Current State: 10:[48, 51], Operations: ['72-10=62', '62-11=51']
Exploring Operation: 48+51=99, Resulting Numbers: [99]
99,10 unequal: No Solution
Exploring Operation: 51-48=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 48*51=2448, Resulting Numbers: [2448]
2448,10 unequal: No Solution
Moving to Node #0,1,3
Current State: 10:[62, 59], Operations: ['72-10=62', '11+48=59']
Exploring Operation: 62*59=3658, Resulting Numbers: [3658]
3658,10 unequal: No Solution
Exploring Operation: 62+59=121, Resulting Numbers: [121]
121,10 unequal: No Solution
Exploring Operation: 62-59=3, Resulting Numbers: [3]
3,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
47,
53,
14,
32
] | 53 | [
"47-14=33",
"33-32=1",
"53*1=53"
] | Current State: 53:[47, 53, 14, 32], Operations: []
Exploring Operation: 47-14=33, Resulting Numbers: [53, 32, 33]
Generated Node #2: [53, 32, 33] from Operation: 47-14=33
Current State: 53:[53, 32, 33], Operations: ['47-14=33']
Exploring Operation: 33-32=1, Resulting Numbers: [53, 1]
Generated Node #3: [53, 1] from Operation: 33-32=1
Current State: 53:[53, 1], Operations: ['47-14=33', '33-32=1']
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[47, 53, 14, 32], Operations: []
Exploring Operation: 47-14=33, Resulting Numbers: [53, 32, 33]
Generated Node #0,0: 53:[53, 32, 33] Operation: 47-14=33
Exploring Operation: 47+14=61, Resulting Numbers: [53, 32, 61]
Generated Node #0,1: 53:[53, 32, 61] Operation: 47+14=61
Exploring Operation: 14+32=46, Resulting Numbers: [47, 53, 46]
Generated Node #0,2: 53:[47, 53, 46] Operation: 14+32=46
Exploring Operation: 53+14=67, Resulting Numbers: [47, 32, 67]
Generated Node #0,3: 53:[47, 32, 67] Operation: 53+14=67
Moving to Node #0,2
Current State: 53:[47, 53, 46], Operations: ['14+32=46']
Exploring Operation: 47+46=93, Resulting Numbers: [53, 93]
Generated Node #0,2,0: 53:[53, 93] Operation: 47+46=93
Exploring Operation: 53-46=7, Resulting Numbers: [47, 7]
Generated Node #0,2,1: 53:[47, 7] Operation: 53-46=7
Exploring Operation: 47-46=1, Resulting Numbers: [53, 1]
Generated Node #0,2,2: 53:[53, 1] Operation: 47-46=1
Exploring Operation: 53+46=99, Resulting Numbers: [47, 99]
Generated Node #0,2,3: 53:[47, 99] Operation: 53+46=99
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 53:[53, 93], Operations: ['14+32=46', '47+46=93']
Exploring Operation: 53+93=146, Resulting Numbers: [146]
146,53 unequal: No Solution
Exploring Operation: 53*93=4929, Resulting Numbers: [4929]
4929,53 unequal: No Solution
Exploring Operation: 93-53=40, Resulting Numbers: [40]
40,53 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:[47, 7], Operations: ['14+32=46', '53-46=7']
Exploring Operation: 47*7=329, Resulting Numbers: [329]
329,53 unequal: No Solution
Exploring Operation: 47+7=54, Resulting Numbers: [54]
54,53 unequal: No Solution
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,53 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:[53, 1], Operations: ['14+32=46', '47-46=1']
Exploring Operation: 53-1=52, Resulting Numbers: [52]
52,53 unequal: No Solution
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[47, 53, 14, 32], Operations: []
Exploring Operation: 14+32=46, Resulting Numbers: [47, 53, 46]
Generated Node #0,2: 53:[47, 53, 46] Operation: 14+32=46
Moving to Node #0,2
Current State: 53:[47, 53, 46], Operations: ['14+32=46']
Exploring Operation: 47-46=1, Resulting Numbers: [53, 1]
Generated Node #0,2,2: 53:[53, 1] Operation: 47-46=1
Moving to Node #0,2,2
Current State: 53:[53, 1], Operations: ['14+32=46', '47-46=1']
Exploring Operation: 53*1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
47,
53,
1,
10
] | 59 | [
"53-47=6",
"10*6=60",
"60-1=59"
] | Current State: 59:[47, 53, 1, 10], Operations: []
Exploring Operation: 53-47=6, Resulting Numbers: [1, 10, 6]
Generated Node #2: [1, 10, 6] from Operation: 53-47=6
Current State: 59:[1, 10, 6], Operations: ['53-47=6']
Exploring Operation: 10*6=60, Resulting Numbers: [1, 60]
Generated Node #3: [1, 60] from Operation: 10*6=60
Current State: 59:[1, 60], Operations: ['53-47=6', '10*6=60']
Exploring Operation: 60-1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[47, 53, 1, 10], Operations: []
Exploring Operation: 47+10=57, Resulting Numbers: [53, 1, 57]
Generated Node #0,0: 59:[53, 1, 57] Operation: 47+10=57
Exploring Operation: 1+10=11, Resulting Numbers: [47, 53, 11]
Generated Node #0,1: 59:[47, 53, 11] Operation: 1+10=11
Exploring Operation: 53+1=54, Resulting Numbers: [47, 10, 54]
Generated Node #0,2: 59:[47, 10, 54] Operation: 53+1=54
Exploring Operation: 47+1=48, Resulting Numbers: [53, 10, 48]
Generated Node #0,3: 59:[53, 10, 48] Operation: 47+1=48
Moving to Node #0,0
Current State: 59:[53, 1, 57], Operations: ['47+10=57']
Exploring Operation: 1+57=58, Resulting Numbers: [53, 58]
Generated Node #0,0,0: 59:[53, 58] Operation: 1+57=58
Exploring Operation: 53/1=53, Resulting Numbers: [57, 53]
Generated Node #0,0,1: 59:[57, 53] Operation: 53/1=53
Exploring Operation: 53*1=53, Resulting Numbers: [57, 53]
Generated Node #0,0,2: 59:[57, 53] Operation: 53*1=53
Exploring Operation: 53+1=54, Resulting Numbers: [57, 54]
Generated Node #0,0,3: 59:[57, 54] Operation: 53+1=54
Moving to Node #0,2
Current State: 59:[47, 10, 54], Operations: ['53+1=54']
Exploring Operation: 47+10=57, Resulting Numbers: [54, 57]
Generated Node #0,2,0: 59:[54, 57] Operation: 47+10=57
Exploring Operation: 10+54=64, Resulting Numbers: [47, 64]
Generated Node #0,2,1: 59:[47, 64] Operation: 10+54=64
Exploring Operation: 47-10=37, Resulting Numbers: [54, 37]
Generated Node #0,2,2: 59:[54, 37] Operation: 47-10=37
Exploring Operation: 54-10=44, Resulting Numbers: [47, 44]
Generated Node #0,2,3: 59:[47, 44] Operation: 54-10=44
Moving to Node #0,1
Current State: 59:[47, 53, 11], Operations: ['1+10=11']
Exploring Operation: 53-11=42, Resulting Numbers: [47, 42]
Generated Node #0,1,0: 59:[47, 42] Operation: 53-11=42
Exploring Operation: 53+11=64, Resulting Numbers: [47, 64]
Generated Node #0,1,1: 59:[47, 64] Operation: 53+11=64
Exploring Operation: 47+11=58, Resulting Numbers: [53, 58]
Generated Node #0,1,2: 59:[53, 58] Operation: 47+11=58
Exploring Operation: 47-11=36, Resulting Numbers: [53, 36]
Generated Node #0,1,3: 59:[53, 36] Operation: 47-11=36
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 59:[53, 58], Operations: ['1+10=11', '47+11=58']
Exploring Operation: 58-53=5, Resulting Numbers: [5]
5,59 unequal: No Solution
Exploring Operation: 53+58=111, Resulting Numbers: [111]
111,59 unequal: No Solution
Exploring Operation: 53*58=3074, Resulting Numbers: [3074]
3074,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 59:[47, 64], Operations: ['1+10=11', '53+11=64']
Exploring Operation: 47+64=111, Resulting Numbers: [111]
111,59 unequal: No Solution
Exploring Operation: 64-47=17, Resulting Numbers: [17]
17,59 unequal: No Solution
Exploring Operation: 47*64=3008, Resulting Numbers: [3008]
3008,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 59:[47, 42], Operations: ['1+10=11', '53-11=42']
Exploring Operation: 47-42=5, Resulting Numbers: [5]
5,59 unequal: No Solution
Exploring Operation: 47*42=1974, Resulting Numbers: [1974]
1974,59 unequal: No Solution
Exploring Operation: 47+42=89, Resulting Numbers: [89]
89,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 59:[53, 36], Operations: ['1+10=11', '47-11=36']
Exploring Operation: 53*36=1908, Resulting Numbers: [1908]
1908,59 unequal: No Solution
Exploring Operation: 53-36=17, Resulting Numbers: [17]
17,59 unequal: No Solution
Exploring Operation: 53+36=89, Resulting Numbers: [89]
89,59 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: 59:[53, 10, 48], Operations: ['47+1=48']
Exploring Operation: 10+48=58, Resulting Numbers: [53, 58]
Generated Node #0,3,0: 59:[53, 58] Operation: 10+48=58
Exploring Operation: 53+10=63, Resulting Numbers: [48, 63]
Generated Node #0,3,1: 59:[48, 63] Operation: 53+10=63
Exploring Operation: 53-10=43, Resulting Numbers: [48, 43]
Generated Node #0,3,2: 59:[48, 43] Operation: 53-10=43
Exploring Operation: 48-10=38, Resulting Numbers: [53, 38]
Generated Node #0,3,3: 59:[53, 38] Operation: 48-10=38
Moving to Node #0,0,0
Current State: 59:[53, 58], Operations: ['47+10=57', '1+57=58']
Exploring Operation: 58-53=5, Resulting Numbers: [5]
5,59 unequal: No Solution
Exploring Operation: 53*58=3074, Resulting Numbers: [3074]
3074,59 unequal: No Solution
Exploring Operation: 53+58=111, Resulting Numbers: [111]
111,59 unequal: No Solution
Moving to Node #0,0,3
Current State: 59:[57, 54], Operations: ['47+10=57', '53+1=54']
Exploring Operation: 57-54=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 57+54=111, Resulting Numbers: [111]
111,59 unequal: No Solution
Exploring Operation: 57*54=3078, Resulting Numbers: [3078]
3078,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[54, 57], Operations: ['53+1=54', '47+10=57']
Exploring Operation: 54+57=111, Resulting Numbers: [111]
111,59 unequal: No Solution
Exploring Operation: 57-54=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Exploring Operation: 54*57=3078, Resulting Numbers: [3078]
3078,59 unequal: No Solution
Moving to Node #0,3,0
Current State: 59:[53, 58], Operations: ['47+1=48', '10+48=58']
Exploring Operation: 53+58=111, Resulting Numbers: [111]
111,59 unequal: No Solution
Exploring Operation: 58-53=5, Resulting Numbers: [5]
5,59 unequal: No Solution
Exploring Operation: 53*58=3074, Resulting Numbers: [3074]
3074,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[57, 53], Operations: ['47+10=57', '53/1=53']
Exploring Operation: 57-53=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Exploring Operation: 57+53=110, Resulting Numbers: [110]
110,59 unequal: No Solution
Exploring Operation: 57*53=3021, Resulting Numbers: [3021]
3021,59 unequal: No Solution
Moving to Node #0,0,2
Current State: 59:[57, 53], Operations: ['47+10=57', '53*1=53']
Exploring Operation: 57-53=4, Resulting Numbers: [4]
4,59 unequal: No Solution
Exploring Operation: 57+53=110, Resulting Numbers: [110]
110,59 unequal: No Solution
Exploring Operation: 57*53=3021, Resulting Numbers: [3021]
3021,59 unequal: No Solution
Moving to Node #0,3,1
Current State: 59:[48, 63], Operations: ['47+1=48', '53+10=63']
Exploring Operation: 48*63=3024, Resulting Numbers: [3024]
3024,59 unequal: No Solution
Exploring Operation: 48+63=111, Resulting Numbers: [111]
111,59 unequal: No Solution
Exploring Operation: 63-48=15, Resulting Numbers: [15]
15,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[47, 64], Operations: ['53+1=54', '10+54=64']
Exploring Operation: 64-47=17, Resulting Numbers: [17]
17,59 unequal: No Solution
Exploring Operation: 47*64=3008, Resulting Numbers: [3008]
3008,59 unequal: No Solution
Exploring Operation: 47+64=111, Resulting Numbers: [111]
111,59 unequal: No Solution
Moving to Node #0,3,3
Current State: 59:[53, 38], Operations: ['47+1=48', '48-10=38']
Exploring Operation: 53+38=91, Resulting Numbers: [91]
91,59 unequal: No Solution
Exploring Operation: 53-38=15, Resulting Numbers: [15]
15,59 unequal: No Solution
Exploring Operation: 53*38=2014, Resulting Numbers: [2014]
2014,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[54, 37], Operations: ['53+1=54', '47-10=37']
Exploring Operation: 54*37=1998, Resulting Numbers: [1998]
1998,59 unequal: No Solution
Exploring Operation: 54+37=91, Resulting Numbers: [91]
91,59 unequal: No Solution
Exploring Operation: 54-37=17, Resulting Numbers: [17]
17,59 unequal: No Solution
Moving to Node #0,2,3
Current State: 59:[47, 44], Operations: ['53+1=54', '54-10=44']
Exploring Operation: 47+44=91, Resulting Numbers: [91]
91,59 unequal: No Solution
Exploring Operation: 47*44=2068, Resulting Numbers: [2068]
2068,59 unequal: No Solution
Exploring Operation: 47-44=3, Resulting Numbers: [3]
3,59 unequal: No Solution
Moving to Node #0,3,2
Current State: 59:[48, 43], Operations: ['47+1=48', '53-10=43']
Exploring Operation: 48-43=5, Resulting Numbers: [5]
5,59 unequal: No Solution
Exploring Operation: 48+43=91, Resulting Numbers: [91]
91,59 unequal: No Solution
Exploring Operation: 48*43=2064, Resulting Numbers: [2064]
2064,59 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
61,
8,
5,
35
] | 17 | [
"61+35=96",
"96/8=12",
"5+12=17"
] | Current State: 17:[61, 8, 5, 35], Operations: []
Exploring Operation: 61+35=96, Resulting Numbers: [8, 5, 96]
Generated Node #2: [8, 5, 96] from Operation: 61+35=96
Current State: 17:[8, 5, 96], Operations: ['61+35=96']
Exploring Operation: 96/8=12, Resulting Numbers: [5, 12]
Generated Node #3: [5, 12] from Operation: 96/8=12
Current State: 17:[5, 12], Operations: ['61+35=96', '96/8=12']
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[61, 8, 5, 35], Operations: []
Exploring Operation: 35/5=7, Resulting Numbers: [61, 8, 7]
Generated Node #0,0: 17:[61, 8, 7] Operation: 35/5=7
Exploring Operation: 61-35=26, Resulting Numbers: [8, 5, 26]
Generated Node #0,1: 17:[8, 5, 26] Operation: 61-35=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[8, 5, 26], Operations: ['61-35=26']
Exploring Operation: 8+5=13, Resulting Numbers: [26, 13]
Generated Node #0,1,0: 17:[26, 13] Operation: 8+5=13
Exploring Operation: 26-8=18, Resulting Numbers: [5, 18]
Generated Node #0,1,1: 17:[5, 18] Operation: 26-8=18
Moving to Node #0,1,0
Current State: 17:[26, 13], Operations: ['61-35=26', '8+5=13']
Exploring Operation: 26-13=13, Resulting Numbers: [13]
13,17 unequal: No Solution
Exploring Operation: 26/13=2, Resulting Numbers: [2]
2,17 unequal: No Solution
Moving to Node #0,1,1
Current State: 17:[5, 18], Operations: ['61-35=26', '26-8=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,17 unequal: No Solution
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[61, 8, 7], Operations: ['35/5=7']
Exploring Operation: 61-7=54, Resulting Numbers: [8, 54]
Generated Node #0,0,0: 17:[8, 54] Operation: 61-7=54
Exploring Operation: 61-8=53, Resulting Numbers: [7, 53]
Generated Node #0,0,1: 17:[7, 53] Operation: 61-8=53
Moving to Node #0,0,0
Current State: 17:[8, 54], Operations: ['35/5=7', '61-7=54']
Exploring Operation: 8+54=62, Resulting Numbers: [62]
62,17 unequal: No Solution
Exploring Operation: 54-8=46, Resulting Numbers: [46]
46,17 unequal: No Solution
Moving to Node #0,0,1
Current State: 17:[7, 53], Operations: ['35/5=7', '61-8=53']
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,17 unequal: No Solution
Exploring Operation: 7+53=60, Resulting Numbers: [60]
60,17 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 |
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