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 |
|---|---|---|---|---|---|---|---|---|
[
49,
4,
98,
16
] | 83 | [
"49+98=147",
"4*16=64",
"147-64=83"
] | Current State: 83:[49, 4, 98, 16], Operations: []
Exploring Operation: 49+98=147, Resulting Numbers: [4, 16, 147]
Generated Node #2: [4, 16, 147] from Operation: 49+98=147
Current State: 83:[4, 16, 147], Operations: ['49+98=147']
Exploring Operation: 4*16=64, Resulting Numbers: [147, 64]
Generated Node #3: [147, 64] from Operation: 4*16=64
Current State: 83:[147, 64], Operations: ['49+98=147', '4*16=64']
Exploring Operation: 147-64=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[49, 4, 98, 16], Operations: []
Exploring Operation: 4*16=64, Resulting Numbers: [49, 98, 64]
Generated Node #0,0: 83:[49, 98, 64] Operation: 4*16=64
Exploring Operation: 98-4=94, Resulting Numbers: [49, 16, 94]
Generated Node #0,1: 83:[49, 16, 94] Operation: 98-4=94
Exploring Operation: 49+16=65, Resulting Numbers: [4, 98, 65]
Generated Node #0,2: 83:[4, 98, 65] Operation: 49+16=65
Exploring Operation: 49+4=53, Resulting Numbers: [98, 16, 53]
Generated Node #0,3: 83:[98, 16, 53] Operation: 49+4=53
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[49, 98, 64], Operations: ['4*16=64']
Exploring Operation: 98-49=49, Resulting Numbers: [64, 49]
Generated Node #0,0,0: 83:[64, 49] Operation: 98-49=49
Exploring Operation: 49+98=147, Resulting Numbers: [64, 147]
Generated Node #0,0,1: 83:[64, 147] Operation: 49+98=147
Exploring Operation: 49+64=113, Resulting Numbers: [98, 113]
Generated Node #0,0,2: 83:[98, 113] Operation: 49+64=113
Exploring Operation: 64-49=15, Resulting Numbers: [98, 15]
Generated Node #0,0,3: 83:[98, 15] Operation: 64-49=15
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 83:[98, 113], Operations: ['4*16=64', '49+64=113']
Exploring Operation: 98+113=211, Resulting Numbers: [211]
211,83 unequal: No Solution
Exploring Operation: 98*113=11074, Resulting Numbers: [11074]
11074,83 unequal: No Solution
Exploring Operation: 113-98=15, Resulting Numbers: [15]
15,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[64, 49], Operations: ['4*16=64', '98-49=49']
Exploring Operation: 64-49=15, Resulting Numbers: [15]
15,83 unequal: No Solution
Exploring Operation: 64+49=113, Resulting Numbers: [113]
113,83 unequal: No Solution
Exploring Operation: 64*49=3136, Resulting Numbers: [3136]
3136,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[64, 147], Operations: ['4*16=64', '49+98=147']
Exploring Operation: 147-64=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[49, 4, 98, 16], Operations: []
Exploring Operation: 4*16=64, Resulting Numbers: [49, 98, 64]
Generated Node #0,0: 83:[49, 98, 64] Operation: 4*16=64
Moving to Node #0,0
Current State: 83:[49, 98, 64], Operations: ['4*16=64']
Exploring Operation: 49+98=147, Resulting Numbers: [64, 147]
Generated Node #0,0,1: 83:[64, 147] Operation: 49+98=147
Moving to Node #0,0,1
Current State: 83:[64, 147], Operations: ['4*16=64', '49+98=147']
Exploring Operation: 147-64=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_4 | mult_heuristic |
[
50,
72,
5,
47
] | 57 | [
"50-47=3",
"5*3=15",
"72-15=57"
] | Current State: 57:[50, 72, 5, 47], Operations: []
Exploring Operation: 50-47=3, Resulting Numbers: [72, 5, 3]
Generated Node #2: [72, 5, 3] from Operation: 50-47=3
Current State: 57:[72, 5, 3], Operations: ['50-47=3']
Exploring Operation: 5*3=15, Resulting Numbers: [72, 15]
Generated Node #3: [72, 15] from Operation: 5*3=15
Current State: 57:[72, 15], Operations: ['50-47=3', '5*3=15']
Exploring Operation: 72-15=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[50, 72, 5, 47], Operations: []
Exploring Operation: 72-50=22, Resulting Numbers: [5, 47, 22]
Generated Node #0,0: 57:[5, 47, 22] Operation: 72-50=22
Moving to Node #0,0
Current State: 57:[5, 47, 22], Operations: ['72-50=22']
Exploring Operation: 5+47=52, Resulting Numbers: [22, 52]
Generated Node #0,0,0: 57:[22, 52] Operation: 5+47=52
Moving to Node #0,0,0
Current State: 57:[22, 52], Operations: ['72-50=22', '5+47=52']
Exploring Operation: 52-22=30, Resulting Numbers: [30]
30,57 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
77,
71,
54,
90
] | 24 | [
"77-71=6",
"54+90=144",
"144/6=24"
] | Current State: 24:[77, 71, 54, 90], Operations: []
Exploring Operation: 77-71=6, Resulting Numbers: [54, 90, 6]
Generated Node #2: [54, 90, 6] from Operation: 77-71=6
Current State: 24:[54, 90, 6], Operations: ['77-71=6']
Exploring Operation: 54+90=144, Resulting Numbers: [6, 144]
Generated Node #3: [6, 144] from Operation: 54+90=144
Current State: 24:[6, 144], Operations: ['77-71=6', '54+90=144']
Exploring Operation: 144/6=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[77, 71, 54, 90], Operations: []
Exploring Operation: 90-54=36, Resulting Numbers: [77, 71, 36]
Generated Node #0,0: 24:[77, 71, 36] Operation: 90-54=36
Exploring Operation: 90-71=19, Resulting Numbers: [77, 54, 19]
Generated Node #0,1: 24:[77, 54, 19] Operation: 90-71=19
Exploring Operation: 90-77=13, Resulting Numbers: [71, 54, 13]
Generated Node #0,2: 24:[71, 54, 13] Operation: 90-77=13
Exploring Operation: 77-71=6, Resulting Numbers: [54, 90, 6]
Generated Node #0,3: 24:[54, 90, 6] Operation: 77-71=6
Moving to Node #0,2
Current State: 24:[71, 54, 13], Operations: ['90-77=13']
Exploring Operation: 71+13=84, Resulting Numbers: [54, 84]
Generated Node #0,2,0: 24:[54, 84] Operation: 71+13=84
Exploring Operation: 71-13=58, Resulting Numbers: [54, 58]
Generated Node #0,2,1: 24:[54, 58] Operation: 71-13=58
Exploring Operation: 54-13=41, Resulting Numbers: [71, 41]
Generated Node #0,2,2: 24:[71, 41] Operation: 54-13=41
Exploring Operation: 71-54=17, Resulting Numbers: [13, 17]
Generated Node #0,2,3: 24:[13, 17] Operation: 71-54=17
Moving to Node #0,1
Current State: 24:[77, 54, 19], Operations: ['90-71=19']
Exploring Operation: 77+19=96, Resulting Numbers: [54, 96]
Generated Node #0,1,0: 24:[54, 96] Operation: 77+19=96
Exploring Operation: 54-19=35, Resulting Numbers: [77, 35]
Generated Node #0,1,1: 24:[77, 35] Operation: 54-19=35
Exploring Operation: 77-19=58, Resulting Numbers: [54, 58]
Generated Node #0,1,2: 24:[54, 58] Operation: 77-19=58
Exploring Operation: 77-54=23, Resulting Numbers: [19, 23]
Generated Node #0,1,3: 24:[19, 23] Operation: 77-54=23
Moving to Node #0,3
Current State: 24:[54, 90, 6], Operations: ['77-71=6']
Exploring Operation: 90/6=15, Resulting Numbers: [54, 15]
Generated Node #0,3,0: 24:[54, 15] Operation: 90/6=15
Exploring Operation: 54/6=9, Resulting Numbers: [90, 9]
Generated Node #0,3,1: 24:[90, 9] Operation: 54/6=9
Exploring Operation: 54-6=48, Resulting Numbers: [90, 48]
Generated Node #0,3,2: 24:[90, 48] Operation: 54-6=48
Exploring Operation: 90-54=36, Resulting Numbers: [6, 36]
Generated Node #0,3,3: 24:[6, 36] Operation: 90-54=36
Moving to Node #0,0
Current State: 24:[77, 71, 36], Operations: ['90-54=36']
Exploring Operation: 77-36=41, Resulting Numbers: [71, 41]
Generated Node #0,0,0: 24:[71, 41] Operation: 77-36=41
Exploring Operation: 77+71=148, Resulting Numbers: [36, 148]
Generated Node #0,0,1: 24:[36, 148] Operation: 77+71=148
Exploring Operation: 77-71=6, Resulting Numbers: [36, 6]
Generated Node #0,0,2: 24:[36, 6] Operation: 77-71=6
Exploring Operation: 71-36=35, Resulting Numbers: [77, 35]
Generated Node #0,0,3: 24:[77, 35] Operation: 71-36=35
Moving to Node #0,2,3
Current State: 24:[13, 17], Operations: ['90-77=13', '71-54=17']
Exploring Operation: 13*17=221, Resulting Numbers: [221]
221,24 unequal: No Solution
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Moving to Node #0,1,3
Current State: 24:[19, 23], Operations: ['90-71=19', '77-54=23']
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 19*23=437, Resulting Numbers: [437]
437,24 unequal: No Solution
Exploring Operation: 19+23=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Moving to Node #0,0,2
Current State: 24:[36, 6], Operations: ['90-54=36', '77-71=6']
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 36*6=216, Resulting Numbers: [216]
216,24 unequal: No Solution
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Moving to Node #0,3,3
Current State: 24:[6, 36], Operations: ['77-71=6', '90-54=36']
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Exploring Operation: 6*36=216, Resulting Numbers: [216]
216,24 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 6+36=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Moving to Node #0,3,0
Current State: 24:[54, 15], Operations: ['77-71=6', '90/6=15']
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,24 unequal: No Solution
Exploring Operation: 54+15=69, Resulting Numbers: [69]
69,24 unequal: No Solution
Exploring Operation: 54*15=810, Resulting Numbers: [810]
810,24 unequal: No Solution
Moving to Node #0,1,2
Current State: 24:[54, 58], Operations: ['90-71=19', '77-19=58']
Exploring Operation: 54*58=3132, Resulting Numbers: [3132]
3132,24 unequal: No Solution
Exploring Operation: 58-54=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 54+58=112, Resulting Numbers: [112]
112,24 unequal: No Solution
Moving to Node #0,0,0
Current State: 24:[71, 41], Operations: ['90-54=36', '77-36=41']
Exploring Operation: 71-41=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Exploring Operation: 71+41=112, Resulting Numbers: [112]
112,24 unequal: No Solution
Exploring Operation: 71*41=2911, Resulting Numbers: [2911]
2911,24 unequal: No Solution
Moving to Node #0,2,2
Current State: 24:[71, 41], Operations: ['90-77=13', '54-13=41']
Exploring Operation: 71*41=2911, Resulting Numbers: [2911]
2911,24 unequal: No Solution
Exploring Operation: 71+41=112, Resulting Numbers: [112]
112,24 unequal: No Solution
Exploring Operation: 71-41=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Moving to Node #0,1,1
Current State: 24:[77, 35], Operations: ['90-71=19', '54-19=35']
Exploring Operation: 77*35=2695, Resulting Numbers: [2695]
2695,24 unequal: No Solution
Exploring Operation: 77+35=112, Resulting Numbers: [112]
112,24 unequal: No Solution
Exploring Operation: 77-35=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Moving to Node #0,2,1
Current State: 24:[54, 58], Operations: ['90-77=13', '71-13=58']
Exploring Operation: 54+58=112, Resulting Numbers: [112]
112,24 unequal: No Solution
Exploring Operation: 58-54=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 54*58=3132, Resulting Numbers: [3132]
3132,24 unequal: No Solution
Moving to Node #0,0,3
Current State: 24:[77, 35], Operations: ['90-54=36', '71-36=35']
Exploring Operation: 77+35=112, Resulting Numbers: [112]
112,24 unequal: No Solution
Exploring Operation: 77*35=2695, Resulting Numbers: [2695]
2695,24 unequal: No Solution
Exploring Operation: 77-35=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Moving to Node #0,3,1
Current State: 24:[90, 9], Operations: ['77-71=6', '54/6=9']
Exploring Operation: 90-9=81, Resulting Numbers: [81]
81,24 unequal: No Solution
Exploring Operation: 90+9=99, Resulting Numbers: [99]
99,24 unequal: No Solution
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,24 unequal: No Solution
Exploring Operation: 90*9=810, Resulting Numbers: [810]
810,24 unequal: No Solution
Moving to Node #0,2,0
Current State: 24:[54, 84], Operations: ['90-77=13', '71+13=84']
Exploring Operation: 54*84=4536, Resulting Numbers: [4536]
4536,24 unequal: No Solution
Exploring Operation: 54+84=138, Resulting Numbers: [138]
138,24 unequal: No Solution
Exploring Operation: 84-54=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Moving to Node #0,3,2
Current State: 24:[90, 48], Operations: ['77-71=6', '54-6=48']
Exploring Operation: 90-48=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Exploring Operation: 90*48=4320, Resulting Numbers: [4320]
4320,24 unequal: No Solution
Exploring Operation: 90+48=138, Resulting Numbers: [138]
138,24 unequal: No Solution
Moving to Node #0,1,0
Current State: 24:[54, 96], Operations: ['90-71=19', '77+19=96']
Exploring Operation: 54+96=150, Resulting Numbers: [150]
150,24 unequal: No Solution
Exploring Operation: 54*96=5184, Resulting Numbers: [5184]
5184,24 unequal: No Solution
Exploring Operation: 96-54=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Moving to Node #0,0,1
Current State: 24:[36, 148], Operations: ['90-54=36', '77+71=148']
Exploring Operation: 36+148=184, Resulting Numbers: [184]
184,24 unequal: No Solution
Exploring Operation: 148-36=112, Resulting Numbers: [112]
112,24 unequal: No Solution
Exploring Operation: 36*148=5328, Resulting Numbers: [5328]
5328,24 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
61,
45,
36,
91
] | 21 | [
"61+45=106",
"36+91=127",
"127-106=21"
] | Current State: 21:[61, 45, 36, 91], Operations: []
Exploring Operation: 61+45=106, Resulting Numbers: [36, 91, 106]
Generated Node #2: [36, 91, 106] from Operation: 61+45=106
Current State: 21:[36, 91, 106], Operations: ['61+45=106']
Exploring Operation: 36+91=127, Resulting Numbers: [106, 127]
Generated Node #3: [106, 127] from Operation: 36+91=127
Current State: 21:[106, 127], Operations: ['61+45=106', '36+91=127']
Exploring Operation: 127-106=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[61, 45, 36, 91], Operations: []
Exploring Operation: 91-45=46, Resulting Numbers: [61, 36, 46]
Generated Node #0,0: 21:[61, 36, 46] Operation: 91-45=46
Exploring Operation: 61-36=25, Resulting Numbers: [45, 91, 25]
Generated Node #0,1: 21:[45, 91, 25] Operation: 61-36=25
Exploring Operation: 91-61=30, Resulting Numbers: [45, 36, 30]
Generated Node #0,2: 21:[45, 36, 30] Operation: 91-61=30
Exploring Operation: 61-45=16, Resulting Numbers: [36, 91, 16]
Generated Node #0,3: 21:[36, 91, 16] Operation: 61-45=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 21:[45, 36, 30], Operations: ['91-61=30']
Exploring Operation: 36-30=6, Resulting Numbers: [45, 6]
Generated Node #0,2,0: 21:[45, 6] Operation: 36-30=6
Exploring Operation: 45-36=9, Resulting Numbers: [30, 9]
Generated Node #0,2,1: 21:[30, 9] Operation: 45-36=9
Exploring Operation: 45-30=15, Resulting Numbers: [36, 15]
Generated Node #0,2,2: 21:[36, 15] Operation: 45-30=15
Exploring Operation: 45+36=81, Resulting Numbers: [30, 81]
Generated Node #0,2,3: 21:[30, 81] Operation: 45+36=81
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 21:[30, 9], Operations: ['91-61=30', '45-36=9']
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[61, 45, 36, 91], Operations: []
Exploring Operation: 91-61=30, Resulting Numbers: [45, 36, 30]
Generated Node #0,2: 21:[45, 36, 30] Operation: 91-61=30
Moving to Node #0,2
Current State: 21:[45, 36, 30], Operations: ['91-61=30']
Exploring Operation: 45-36=9, Resulting Numbers: [30, 9]
Generated Node #0,2,1: 21:[30, 9] Operation: 45-36=9
Moving to Node #0,2,1
Current State: 21:[30, 9], Operations: ['91-61=30', '45-36=9']
Exploring Operation: 30-9=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
30,
17,
26,
81
] | 16 | [
"30-26=4",
"81-17=64",
"64/4=16"
] | Current State: 16:[30, 17, 26, 81], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [17, 81, 4]
Generated Node #2: [17, 81, 4] from Operation: 30-26=4
Current State: 16:[17, 81, 4], Operations: ['30-26=4']
Exploring Operation: 81-17=64, Resulting Numbers: [4, 64]
Generated Node #3: [4, 64] from Operation: 81-17=64
Current State: 16:[4, 64], Operations: ['30-26=4', '81-17=64']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[30, 17, 26, 81], Operations: []
Exploring Operation: 81-30=51, Resulting Numbers: [17, 26, 51]
Generated Node #0,0: 16:[17, 26, 51] Operation: 81-30=51
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[17, 26, 51], Operations: ['81-30=51']
Exploring Operation: 51-26=25, Resulting Numbers: [17, 25]
Generated Node #0,0,0: 16:[17, 25] Operation: 51-26=25
Moving to Node #0,0,0
Current State: 16:[17, 25], Operations: ['81-30=51', '51-26=25']
Exploring Operation: 25-17=8, Resulting Numbers: [8]
8,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
63,
62,
56,
6
] | 57 | [
"63*56=3528",
"6+3528=3534",
"3534/62=57"
] | Current State: 57:[63, 62, 56, 6], Operations: []
Exploring Operation: 63*56=3528, Resulting Numbers: [62, 6, 3528]
Generated Node #2: [62, 6, 3528] from Operation: 63*56=3528
Current State: 57:[62, 6, 3528], Operations: ['63*56=3528']
Exploring Operation: 6+3528=3534, Resulting Numbers: [62, 3534]
Generated Node #3: [62, 3534] from Operation: 6+3528=3534
Current State: 57:[62, 3534], Operations: ['63*56=3528', '6+3528=3534']
Exploring Operation: 3534/62=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[63, 62, 56, 6], Operations: []
Exploring Operation: 63-6=57, Resulting Numbers: [62, 56, 57]
Generated Node #0,0: 57:[62, 56, 57] Operation: 63-6=57
Exploring Operation: 63-62=1, Resulting Numbers: [56, 6, 1]
Generated Node #0,1: 57:[56, 6, 1] Operation: 63-62=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[62, 56, 57], Operations: ['63-6=57']
Exploring Operation: 62-56=6, Resulting Numbers: [57, 6]
Generated Node #0,0,0: 57:[57, 6] Operation: 62-56=6
Exploring Operation: 62-57=5, Resulting Numbers: [56, 5]
Generated Node #0,0,1: 57:[56, 5] Operation: 62-57=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 57:[57, 6], Operations: ['63-6=57', '62-56=6']
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,57 unequal: No Solution
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,57 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:[56, 5], Operations: ['63-6=57', '62-57=5']
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,57 unequal: No Solution
Exploring Operation: 56+5=61, Resulting Numbers: [61]
61,57 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:[56, 6, 1], Operations: ['63-62=1']
Exploring Operation: 56+1=57, Resulting Numbers: [6, 57]
Generated Node #0,1,0: 57:[6, 57] Operation: 56+1=57
Exploring Operation: 6-1=5, Resulting Numbers: [56, 5]
Generated Node #0,1,1: 57:[56, 5] Operation: 6-1=5
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 57:[6, 57], Operations: ['63-62=1', '56+1=57']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,57 unequal: No Solution
Exploring Operation: 6+57=63, Resulting Numbers: [63]
63,57 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 #0,1,1
Current State: 57:[56, 5], Operations: ['63-62=1', '6-1=5']
Exploring Operation: 56+5=61, Resulting Numbers: [61]
61,57 unequal: No Solution
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,57 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_2 | mult_heuristic |
[
70,
60,
19,
54
] | 76 | [
"60+54=114",
"114/19=6",
"70+6=76"
] | Current State: 76:[70, 60, 19, 54], Operations: []
Exploring Operation: 60+54=114, Resulting Numbers: [70, 19, 114]
Generated Node #2: [70, 19, 114] from Operation: 60+54=114
Current State: 76:[70, 19, 114], Operations: ['60+54=114']
Exploring Operation: 114/19=6, Resulting Numbers: [70, 6]
Generated Node #3: [70, 6] from Operation: 114/19=6
Current State: 76:[70, 6], Operations: ['60+54=114', '114/19=6']
Exploring Operation: 70+6=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[70, 60, 19, 54], Operations: []
Exploring Operation: 70-60=10, Resulting Numbers: [19, 54, 10]
Generated Node #0,0: 76:[19, 54, 10] Operation: 70-60=10
Exploring Operation: 60-54=6, Resulting Numbers: [70, 19, 6]
Generated Node #0,1: 76:[70, 19, 6] Operation: 60-54=6
Exploring Operation: 70-54=16, Resulting Numbers: [60, 19, 16]
Generated Node #0,2: 76:[60, 19, 16] Operation: 70-54=16
Moving to Node #0,1
Current State: 76:[70, 19, 6], Operations: ['60-54=6']
Exploring Operation: 70-6=64, Resulting Numbers: [19, 64]
Generated Node #0,1,0: 76:[19, 64] Operation: 70-6=64
Exploring Operation: 19+6=25, Resulting Numbers: [70, 25]
Generated Node #0,1,1: 76:[70, 25] Operation: 19+6=25
Exploring Operation: 70+6=76, Resulting Numbers: [19, 76]
Generated Node #0,1,2: 76:[19, 76] Operation: 70+6=76
Moving to Node #0,2
Current State: 76:[60, 19, 16], Operations: ['70-54=16']
Exploring Operation: 60+19=79, Resulting Numbers: [16, 79]
Generated Node #0,2,0: 76:[16, 79] Operation: 60+19=79
Exploring Operation: 60-19=41, Resulting Numbers: [16, 41]
Generated Node #0,2,1: 76:[16, 41] Operation: 60-19=41
Exploring Operation: 60+16=76, Resulting Numbers: [19, 76]
Generated Node #0,2,2: 76:[19, 76] Operation: 60+16=76
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 76:[19, 76], Operations: ['70-54=16', '60+16=76']
Exploring Operation: 76/19=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 19+76=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,76 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, 79], Operations: ['70-54=16', '60+19=79']
Exploring Operation: 79-16=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Exploring Operation: 16*79=1264, Resulting Numbers: [1264]
1264,76 unequal: No Solution
Exploring Operation: 16+79=95, Resulting Numbers: [95]
95,76 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:[16, 41], Operations: ['70-54=16', '60-19=41']
Exploring Operation: 16*41=656, Resulting Numbers: [656]
656,76 unequal: No Solution
Exploring Operation: 16+41=57, Resulting Numbers: [57]
57,76 unequal: No Solution
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,76 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:[19, 54, 10], Operations: ['70-60=10']
Exploring Operation: 54-19=35, Resulting Numbers: [10, 35]
Generated Node #0,0,0: 76:[10, 35] Operation: 54-19=35
Exploring Operation: 19+54=73, Resulting Numbers: [10, 73]
Generated Node #0,0,1: 76:[10, 73] Operation: 19+54=73
Exploring Operation: 54-10=44, Resulting Numbers: [19, 44]
Generated Node #0,0,2: 76:[19, 44] Operation: 54-10=44
Moving to Node #0,1,2
Current State: 76:[19, 76], Operations: ['60-54=6', '70+6=76']
Exploring Operation: 76/19=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 19+76=95, Resulting Numbers: [95]
95,76 unequal: No Solution
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[19, 44], Operations: ['70-60=10', '54-10=44']
Exploring Operation: 19*44=836, Resulting Numbers: [836]
836,76 unequal: No Solution
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,76 unequal: No Solution
Exploring Operation: 19+44=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[10, 73], Operations: ['70-60=10', '19+54=73']
Exploring Operation: 10*73=730, Resulting Numbers: [730]
730,76 unequal: No Solution
Exploring Operation: 10+73=83, Resulting Numbers: [83]
83,76 unequal: No Solution
Exploring Operation: 73-10=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[10, 35], Operations: ['70-60=10', '54-19=35']
Exploring Operation: 10*35=350, Resulting Numbers: [350]
350,76 unequal: No Solution
Exploring Operation: 10+35=45, Resulting Numbers: [45]
45,76 unequal: No Solution
Exploring Operation: 35-10=25, Resulting Numbers: [25]
25,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[19, 64], Operations: ['60-54=6', '70-6=64']
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,76 unequal: No Solution
Exploring Operation: 19*64=1216, Resulting Numbers: [1216]
1216,76 unequal: No Solution
Exploring Operation: 19+64=83, Resulting Numbers: [83]
83,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[70, 25], Operations: ['60-54=6', '19+6=25']
Exploring Operation: 70*25=1750, Resulting Numbers: [1750]
1750,76 unequal: No Solution
Exploring Operation: 70-25=45, Resulting Numbers: [45]
45,76 unequal: No Solution
Exploring Operation: 70+25=95, Resulting Numbers: [95]
95,76 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
63,
2,
45,
48
] | 30 | [
"63+45=108",
"108-48=60",
"60/2=30"
] | Current State: 30:[63, 2, 45, 48], Operations: []
Exploring Operation: 63+45=108, Resulting Numbers: [2, 48, 108]
Generated Node #2: [2, 48, 108] from Operation: 63+45=108
Current State: 30:[2, 48, 108], Operations: ['63+45=108']
Exploring Operation: 108-48=60, Resulting Numbers: [2, 60]
Generated Node #3: [2, 60] from Operation: 108-48=60
Current State: 30:[2, 60], Operations: ['63+45=108', '108-48=60']
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[63, 2, 45, 48], Operations: []
Exploring Operation: 63-48=15, Resulting Numbers: [2, 45, 15]
Generated Node #0,0: 30:[2, 45, 15] Operation: 63-48=15
Moving to Node #0,0
Current State: 30:[2, 45, 15], Operations: ['63-48=15']
Exploring Operation: 45-15=30, Resulting Numbers: [2, 30]
Generated Node #0,0,0: 30:[2, 30] Operation: 45-15=30
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[2, 30], Operations: ['63-48=15', '45-15=30']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,30 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 |
[
30,
1,
65,
11
] | 62 | [
"11-1=10",
"30/10=3",
"65-3=62"
] | Current State: 62:[30, 1, 65, 11], Operations: []
Exploring Operation: 11-1=10, Resulting Numbers: [30, 65, 10]
Generated Node #2: [30, 65, 10] from Operation: 11-1=10
Current State: 62:[30, 65, 10], Operations: ['11-1=10']
Exploring Operation: 30/10=3, Resulting Numbers: [65, 3]
Generated Node #3: [65, 3] from Operation: 30/10=3
Current State: 62:[65, 3], Operations: ['11-1=10', '30/10=3']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[30, 1, 65, 11], Operations: []
Exploring Operation: 65-11=54, Resulting Numbers: [30, 1, 54]
Generated Node #0,0: 62:[30, 1, 54] Operation: 65-11=54
Moving to Node #0,0
Current State: 62:[30, 1, 54], Operations: ['65-11=54']
Exploring Operation: 30+1=31, Resulting Numbers: [54, 31]
Generated Node #0,0,0: 62:[54, 31] Operation: 30+1=31
Moving to Node #0,0,0
Current State: 62:[54, 31], Operations: ['65-11=54', '30+1=31']
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,62 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
69,
80,
58,
44
] | 88 | [
"80+58=138",
"138/69=2",
"44*2=88"
] | Current State: 88:[69, 80, 58, 44], Operations: []
Exploring Operation: 80+58=138, Resulting Numbers: [69, 44, 138]
Generated Node #2: [69, 44, 138] from Operation: 80+58=138
Current State: 88:[69, 44, 138], Operations: ['80+58=138']
Exploring Operation: 138/69=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 138/69=2
Current State: 88:[44, 2], Operations: ['80+58=138', '138/69=2']
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[69, 80, 58, 44], Operations: []
Exploring Operation: 69-58=11, Resulting Numbers: [80, 44, 11]
Generated Node #0,0: 88:[80, 44, 11] Operation: 69-58=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[80, 44, 11], Operations: ['69-58=11']
Exploring Operation: 80+11=91, Resulting Numbers: [44, 91]
Generated Node #0,0,0: 88:[44, 91] Operation: 80+11=91
Moving to Node #0,0,0
Current State: 88:[44, 91], Operations: ['69-58=11', '80+11=91']
Exploring Operation: 91-44=47, Resulting Numbers: [47]
47,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
13,
18,
78,
22
] | 51 | [
"18-13=5",
"78-22=56",
"56-5=51"
] | Current State: 51:[13, 18, 78, 22], Operations: []
Exploring Operation: 18-13=5, Resulting Numbers: [78, 22, 5]
Generated Node #2: [78, 22, 5] from Operation: 18-13=5
Current State: 51:[78, 22, 5], Operations: ['18-13=5']
Exploring Operation: 78-22=56, Resulting Numbers: [5, 56]
Generated Node #3: [5, 56] from Operation: 78-22=56
Current State: 51:[5, 56], Operations: ['18-13=5', '78-22=56']
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[13, 18, 78, 22], Operations: []
Exploring Operation: 78/13=6, Resulting Numbers: [18, 22, 6]
Generated Node #0,0: 51:[18, 22, 6] Operation: 78/13=6
Exploring Operation: 78-18=60, Resulting Numbers: [13, 22, 60]
Generated Node #0,1: 51:[13, 22, 60] Operation: 78-18=60
Exploring Operation: 78-22=56, Resulting Numbers: [13, 18, 56]
Generated Node #0,2: 51:[13, 18, 56] Operation: 78-22=56
Moving to Node #0,0
Current State: 51:[18, 22, 6], Operations: ['78/13=6']
Exploring Operation: 22-18=4, Resulting Numbers: [6, 4]
Generated Node #0,0,0: 51:[6, 4] Operation: 22-18=4
Exploring Operation: 22-6=16, Resulting Numbers: [18, 16]
Generated Node #0,0,1: 51:[18, 16] Operation: 22-6=16
Exploring Operation: 18/6=3, Resulting Numbers: [22, 3]
Generated Node #0,0,2: 51:[22, 3] Operation: 18/6=3
Moving to Node #0,2
Current State: 51:[13, 18, 56], Operations: ['78-22=56']
Exploring Operation: 18-13=5, Resulting Numbers: [56, 5]
Generated Node #0,2,0: 51:[56, 5] Operation: 18-13=5
Exploring Operation: 56-13=43, Resulting Numbers: [18, 43]
Generated Node #0,2,1: 51:[18, 43] Operation: 56-13=43
Exploring Operation: 56-18=38, Resulting Numbers: [13, 38]
Generated Node #0,2,2: 51:[13, 38] Operation: 56-18=38
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 51:[56, 5], Operations: ['78-22=56', '18-13=5']
Exploring Operation: 56+5=61, Resulting Numbers: [61]
61,51 unequal: No Solution
Exploring Operation: 56*5=280, Resulting Numbers: [280]
280,51 unequal: No Solution
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[13, 18, 78, 22], Operations: []
Exploring Operation: 78-22=56, Resulting Numbers: [13, 18, 56]
Generated Node #0,2: 51:[13, 18, 56] Operation: 78-22=56
Moving to Node #0,2
Current State: 51:[13, 18, 56], Operations: ['78-22=56']
Exploring Operation: 18-13=5, Resulting Numbers: [56, 5]
Generated Node #0,2,0: 51:[56, 5] Operation: 18-13=5
Moving to Node #0,2,0
Current State: 51:[56, 5], Operations: ['78-22=56', '18-13=5']
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
33,
83,
48,
25
] | 50 | [
"83-33=50",
"50-48=2",
"25*2=50"
] | Current State: 50:[33, 83, 48, 25], Operations: []
Exploring Operation: 83-33=50, Resulting Numbers: [48, 25, 50]
Generated Node #2: [48, 25, 50] from Operation: 83-33=50
Current State: 50:[48, 25, 50], Operations: ['83-33=50']
Exploring Operation: 50-48=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 50-48=2
Current State: 50:[25, 2], Operations: ['83-33=50', '50-48=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[33, 83, 48, 25], Operations: []
Exploring Operation: 83-33=50, Resulting Numbers: [48, 25, 50]
Generated Node #0,0: 50:[48, 25, 50] Operation: 83-33=50
Moving to Node #0,0
Current State: 50:[48, 25, 50], Operations: ['83-33=50']
Exploring Operation: 50-48=2, Resulting Numbers: [25, 2]
Generated Node #0,0,0: 50:[25, 2] Operation: 50-48=2
Moving to Node #0,0,0
Current State: 50:[25, 2], Operations: ['83-33=50', '50-48=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[33, 83, 48, 25], Operations: []
Exploring Operation: 83-33=50, Resulting Numbers: [48, 25, 50]
Generated Node #0,0: 50:[48, 25, 50] Operation: 83-33=50
Moving to Node #0,0
Current State: 50:[48, 25, 50], Operations: ['83-33=50']
Exploring Operation: 50-48=2, Resulting Numbers: [25, 2]
Generated Node #0,0,0: 50:[25, 2] Operation: 50-48=2
Moving to Node #0,0,0
Current State: 50:[25, 2], Operations: ['83-33=50', '50-48=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
1,
39,
77,
29
] | 86 | [
"39-1=38",
"77-29=48",
"38+48=86"
] | Current State: 86:[1, 39, 77, 29], Operations: []
Exploring Operation: 39-1=38, Resulting Numbers: [77, 29, 38]
Generated Node #2: [77, 29, 38] from Operation: 39-1=38
Current State: 86:[77, 29, 38], Operations: ['39-1=38']
Exploring Operation: 77-29=48, Resulting Numbers: [38, 48]
Generated Node #3: [38, 48] from Operation: 77-29=48
Current State: 86:[38, 48], Operations: ['39-1=38', '77-29=48']
Exploring Operation: 38+48=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[1, 39, 77, 29], Operations: []
Exploring Operation: 39-29=10, Resulting Numbers: [1, 77, 10]
Generated Node #0,0: 86:[1, 77, 10] Operation: 39-29=10
Exploring Operation: 77-39=38, Resulting Numbers: [1, 29, 38]
Generated Node #0,1: 86:[1, 29, 38] Operation: 77-39=38
Exploring Operation: 1+39=40, Resulting Numbers: [77, 29, 40]
Generated Node #0,2: 86:[77, 29, 40] Operation: 1+39=40
Exploring Operation: 77-29=48, Resulting Numbers: [1, 39, 48]
Generated Node #0,3: 86:[1, 39, 48] Operation: 77-29=48
Exploring Operation: 77+29=106, Resulting Numbers: [1, 39, 106]
Generated Node #0,4: 86:[1, 39, 106] Operation: 77+29=106
Moving to Node #0,3
Current State: 86:[1, 39, 48], Operations: ['77-29=48']
Exploring Operation: 39+48=87, Resulting Numbers: [1, 87]
Generated Node #0,3,0: 86:[1, 87] Operation: 39+48=87
Exploring Operation: 1*39=39, Resulting Numbers: [48, 39]
Generated Node #0,3,1: 86:[48, 39] Operation: 1*39=39
Exploring Operation: 1+39=40, Resulting Numbers: [48, 40]
Generated Node #0,3,2: 86:[48, 40] Operation: 1+39=40
Exploring Operation: 48-39=9, Resulting Numbers: [1, 9]
Generated Node #0,3,3: 86:[1, 9] Operation: 48-39=9
Exploring Operation: 48-1=47, Resulting Numbers: [39, 47]
Generated Node #0,3,4: 86:[39, 47] Operation: 48-1=47
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 86:[1, 87], Operations: ['77-29=48', '39+48=87']
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[1, 39, 77, 29], Operations: []
Exploring Operation: 77-29=48, Resulting Numbers: [1, 39, 48]
Generated Node #0,3: 86:[1, 39, 48] Operation: 77-29=48
Moving to Node #0,3
Current State: 86:[1, 39, 48], Operations: ['77-29=48']
Exploring Operation: 39+48=87, Resulting Numbers: [1, 87]
Generated Node #0,3,0: 86:[1, 87] Operation: 39+48=87
Moving to Node #0,3,0
Current State: 86:[1, 87], Operations: ['77-29=48', '39+48=87']
Exploring Operation: 87-1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
41,
24,
13,
76
] | 37 | [
"76-24=52",
"52/13=4",
"41-4=37"
] | Current State: 37:[41, 24, 13, 76], Operations: []
Exploring Operation: 76-24=52, Resulting Numbers: [41, 13, 52]
Generated Node #2: [41, 13, 52] from Operation: 76-24=52
Current State: 37:[41, 13, 52], Operations: ['76-24=52']
Exploring Operation: 52/13=4, Resulting Numbers: [41, 4]
Generated Node #3: [41, 4] from Operation: 52/13=4
Current State: 37:[41, 4], Operations: ['76-24=52', '52/13=4']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[41, 24, 13, 76], Operations: []
Exploring Operation: 76-41=35, Resulting Numbers: [24, 13, 35]
Generated Node #0,0: 37:[24, 13, 35] Operation: 76-41=35
Exploring Operation: 24+13=37, Resulting Numbers: [41, 76, 37]
Generated Node #0,1: 37:[41, 76, 37] Operation: 24+13=37
Exploring Operation: 76-24=52, Resulting Numbers: [41, 13, 52]
Generated Node #0,2: 37:[41, 13, 52] Operation: 76-24=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[24, 13, 35], Operations: ['76-41=35']
Exploring Operation: 24+13=37, Resulting Numbers: [35, 37]
Generated Node #0,0,0: 37:[35, 37] Operation: 24+13=37
Exploring Operation: 24-13=11, Resulting Numbers: [35, 11]
Generated Node #0,0,1: 37:[35, 11] Operation: 24-13=11
Exploring Operation: 13+35=48, Resulting Numbers: [24, 48]
Generated Node #0,0,2: 37:[24, 48] Operation: 13+35=48
Moving to Node #0,0,0
Current State: 37:[35, 37], Operations: ['76-41=35', '24+13=37']
Exploring Operation: 35*37=1295, Resulting Numbers: [1295]
1295,37 unequal: No Solution
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 35+37=72, Resulting Numbers: [72]
72,37 unequal: No Solution
Moving to Node #0,0,2
Current State: 37:[24, 48], Operations: ['76-41=35', '13+35=48']
Exploring Operation: 48/24=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 48-24=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Exploring Operation: 24+48=72, Resulting Numbers: [72]
72,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[35, 11], Operations: ['76-41=35', '24-13=11']
Exploring Operation: 35+11=46, Resulting Numbers: [46]
46,37 unequal: No Solution
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Exploring Operation: 35*11=385, Resulting Numbers: [385]
385,37 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
Current State: 37:[41, 76, 37], Operations: ['24+13=37']
Exploring Operation: 76-41=35, Resulting Numbers: [37, 35]
Generated Node #0,1,0: 37:[37, 35] Operation: 76-41=35
Exploring Operation: 76-37=39, Resulting Numbers: [41, 39]
Generated Node #0,1,1: 37:[41, 39] Operation: 76-37=39
Exploring Operation: 41-37=4, Resulting Numbers: [76, 4]
Generated Node #0,1,2: 37:[76, 4] Operation: 41-37=4
Moving to Node #0,1,0
Current State: 37:[37, 35], Operations: ['24+13=37', '76-41=35']
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 37+35=72, Resulting Numbers: [72]
72,37 unequal: No Solution
Exploring Operation: 37*35=1295, Resulting Numbers: [1295]
1295,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[41, 39], Operations: ['24+13=37', '76-37=39']
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 41*39=1599, Resulting Numbers: [1599]
1599,37 unequal: No Solution
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[76, 4], Operations: ['24+13=37', '41-37=4']
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,37 unequal: No Solution
Exploring Operation: 76+4=80, Resulting Numbers: [80]
80,37 unequal: No Solution
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,37 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 #0,2
Current State: 37:[41, 13, 52], Operations: ['76-24=52']
Exploring Operation: 41-13=28, Resulting Numbers: [52, 28]
Generated Node #0,2,0: 37:[52, 28] Operation: 41-13=28
Exploring Operation: 41+13=54, Resulting Numbers: [52, 54]
Generated Node #0,2,1: 37:[52, 54] Operation: 41+13=54
Exploring Operation: 52-13=39, Resulting Numbers: [41, 39]
Generated Node #0,2,2: 37:[41, 39] Operation: 52-13=39
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 37:[41, 39], Operations: ['76-24=52', '52-13=39']
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,37 unequal: No Solution
Exploring Operation: 41*39=1599, Resulting Numbers: [1599]
1599,37 unequal: No Solution
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,37 unequal: No Solution
No 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: 37:[52, 28], Operations: ['76-24=52', '41-13=28']
Exploring Operation: 52+28=80, Resulting Numbers: [80]
80,37 unequal: No Solution
Exploring Operation: 52*28=1456, Resulting Numbers: [1456]
1456,37 unequal: No Solution
Exploring Operation: 52-28=24, Resulting Numbers: [24]
24,37 unequal: No Solution
No 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: 37:[52, 54], Operations: ['76-24=52', '41+13=54']
Exploring Operation: 52+54=106, Resulting Numbers: [106]
106,37 unequal: No Solution
Exploring Operation: 54-52=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 52*54=2808, Resulting Numbers: [2808]
2808,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
14,
55,
93,
58
] | 45 | [
"58-55=3",
"93/3=31",
"14+31=45"
] | Current State: 45:[14, 55, 93, 58], Operations: []
Exploring Operation: 58-55=3, Resulting Numbers: [14, 93, 3]
Generated Node #2: [14, 93, 3] from Operation: 58-55=3
Current State: 45:[14, 93, 3], Operations: ['58-55=3']
Exploring Operation: 93/3=31, Resulting Numbers: [14, 31]
Generated Node #3: [14, 31] from Operation: 93/3=31
Current State: 45:[14, 31], Operations: ['58-55=3', '93/3=31']
Exploring Operation: 14+31=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[14, 55, 93, 58], Operations: []
Exploring Operation: 93-55=38, Resulting Numbers: [14, 58, 38]
Generated Node #0,0: 45:[14, 58, 38] Operation: 93-55=38
Exploring Operation: 93-58=35, Resulting Numbers: [14, 55, 35]
Generated Node #0,1: 45:[14, 55, 35] Operation: 93-58=35
Moving to Node #0,0
Current State: 45:[14, 58, 38], Operations: ['93-55=38']
Exploring Operation: 58-38=20, Resulting Numbers: [14, 20]
Generated Node #0,0,0: 45:[14, 20] Operation: 58-38=20
Exploring Operation: 58-14=44, Resulting Numbers: [38, 44]
Generated Node #0,0,1: 45:[38, 44] Operation: 58-14=44
Moving to Node #0,1
Current State: 45:[14, 55, 35], Operations: ['93-58=35']
Exploring Operation: 55-14=41, Resulting Numbers: [35, 41]
Generated Node #0,1,0: 45:[35, 41] Operation: 55-14=41
Exploring Operation: 55-35=20, Resulting Numbers: [14, 20]
Generated Node #0,1,1: 45:[14, 20] Operation: 55-35=20
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 45:[14, 20], Operations: ['93-58=35', '55-35=20']
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,45 unequal: No Solution
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,45 unequal: No Solution
No solution 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: 45:[35, 41], Operations: ['93-58=35', '55-14=41']
Exploring Operation: 35+41=76, Resulting Numbers: [76]
76,45 unequal: No Solution
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 45:[14, 20], Operations: ['93-55=38', '58-38=20']
Exploring Operation: 14+20=34, Resulting Numbers: [34]
34,45 unequal: No Solution
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,45 unequal: No Solution
Moving to Node #0,0,1
Current State: 45:[38, 44], Operations: ['93-55=38', '58-14=44']
Exploring Operation: 38+44=82, Resulting Numbers: [82]
82,45 unequal: No Solution
Exploring Operation: 44-38=6, Resulting Numbers: [6]
6,45 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
3,
13,
35,
66
] | 44 | [
"66/3=22",
"35-13=22",
"22+22=44"
] | Current State: 44:[3, 13, 35, 66], Operations: []
Exploring Operation: 66/3=22, Resulting Numbers: [13, 35, 22]
Generated Node #2: [13, 35, 22] from Operation: 66/3=22
Current State: 44:[13, 35, 22], Operations: ['66/3=22']
Exploring Operation: 35-13=22, Resulting Numbers: [22, 22]
Generated Node #3: [22, 22] from Operation: 35-13=22
Current State: 44:[22, 22], Operations: ['66/3=22', '35-13=22']
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[3, 13, 35, 66], Operations: []
Exploring Operation: 66-35=31, Resulting Numbers: [3, 13, 31]
Generated Node #0,0: 44:[3, 13, 31] Operation: 66-35=31
Exploring Operation: 66-13=53, Resulting Numbers: [3, 35, 53]
Generated Node #0,1: 44:[3, 35, 53] Operation: 66-13=53
Exploring Operation: 35-13=22, Resulting Numbers: [3, 66, 22]
Generated Node #0,2: 44:[3, 66, 22] Operation: 35-13=22
Exploring Operation: 66/3=22, Resulting Numbers: [13, 35, 22]
Generated Node #0,3: 44:[13, 35, 22] Operation: 66/3=22
Start Sub Search at level 1: Moving to Node #0,3
Current State: 44:[13, 35, 22], Operations: ['66/3=22']
Exploring Operation: 35-13=22, Resulting Numbers: [22, 22]
Generated Node #0,3,0: 44:[22, 22] Operation: 35-13=22
Exploring Operation: 13+35=48, Resulting Numbers: [22, 48]
Generated Node #0,3,1: 44:[22, 48] Operation: 13+35=48
Exploring Operation: 22-13=9, Resulting Numbers: [35, 9]
Generated Node #0,3,2: 44:[35, 9] Operation: 22-13=9
Exploring Operation: 35-22=13, Resulting Numbers: [13, 13]
Generated Node #0,3,3: 44:[13, 13] Operation: 35-22=13
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 44:[22, 22], Operations: ['66/3=22', '35-13=22']
Exploring Operation: 22/22=1, Resulting Numbers: [1]
1,44 unequal: No Solution
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[3, 13, 35, 66], Operations: []
Exploring Operation: 66/3=22, Resulting Numbers: [13, 35, 22]
Generated Node #0,3: 44:[13, 35, 22] Operation: 66/3=22
Moving to Node #0,3
Current State: 44:[13, 35, 22], Operations: ['66/3=22']
Exploring Operation: 35-13=22, Resulting Numbers: [22, 22]
Generated Node #0,3,0: 44:[22, 22] Operation: 35-13=22
Moving to Node #0,3,0
Current State: 44:[22, 22], Operations: ['66/3=22', '35-13=22']
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
8,
29,
59,
42
] | 53 | [
"29+59=88",
"88/8=11",
"42+11=53"
] | Current State: 53:[8, 29, 59, 42], Operations: []
Exploring Operation: 29+59=88, Resulting Numbers: [8, 42, 88]
Generated Node #2: [8, 42, 88] from Operation: 29+59=88
Current State: 53:[8, 42, 88], Operations: ['29+59=88']
Exploring Operation: 88/8=11, Resulting Numbers: [42, 11]
Generated Node #3: [42, 11] from Operation: 88/8=11
Current State: 53:[42, 11], Operations: ['29+59=88', '88/8=11']
Exploring Operation: 42+11=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[8, 29, 59, 42], Operations: []
Exploring Operation: 8+29=37, Resulting Numbers: [59, 42, 37]
Generated Node #0,0: 53:[59, 42, 37] Operation: 8+29=37
Exploring Operation: 59-8=51, Resulting Numbers: [29, 42, 51]
Generated Node #0,1: 53:[29, 42, 51] Operation: 59-8=51
Exploring Operation: 8+42=50, Resulting Numbers: [29, 59, 50]
Generated Node #0,2: 53:[29, 59, 50] Operation: 8+42=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[59, 42, 37], Operations: ['8+29=37']
Exploring Operation: 42+37=79, Resulting Numbers: [59, 79]
Generated Node #0,0,0: 53:[59, 79] Operation: 42+37=79
Exploring Operation: 59-37=22, Resulting Numbers: [42, 22]
Generated Node #0,0,1: 53:[42, 22] Operation: 59-37=22
Exploring Operation: 59-42=17, Resulting Numbers: [37, 17]
Generated Node #0,0,2: 53:[37, 17] Operation: 59-42=17
Moving to Node #0,0,0
Current State: 53:[59, 79], Operations: ['8+29=37', '42+37=79']
Exploring Operation: 59+79=138, Resulting Numbers: [138]
138,53 unequal: No Solution
Exploring Operation: 79-59=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Exploring Operation: 59*79=4661, Resulting Numbers: [4661]
4661,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[42, 22], Operations: ['8+29=37', '59-37=22']
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Exploring Operation: 42*22=924, Resulting Numbers: [924]
924,53 unequal: No Solution
Exploring Operation: 42+22=64, Resulting Numbers: [64]
64,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[37, 17], Operations: ['8+29=37', '59-42=17']
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Exploring Operation: 37+17=54, Resulting Numbers: [54]
54,53 unequal: No Solution
Exploring Operation: 37*17=629, Resulting Numbers: [629]
629,53 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
Current State: 53:[29, 59, 50], Operations: ['8+42=50']
Exploring Operation: 29+59=88, Resulting Numbers: [50, 88]
Generated Node #0,2,0: 53:[50, 88] Operation: 29+59=88
Exploring Operation: 29+50=79, Resulting Numbers: [59, 79]
Generated Node #0,2,1: 53:[59, 79] Operation: 29+50=79
Exploring Operation: 59-29=30, Resulting Numbers: [50, 30]
Generated Node #0,2,2: 53:[50, 30] Operation: 59-29=30
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 53:[50, 30], Operations: ['8+42=50', '59-29=30']
Exploring Operation: 50+30=80, Resulting Numbers: [80]
80,53 unequal: No Solution
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Exploring Operation: 50*30=1500, Resulting Numbers: [1500]
1500,53 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 #0,2,1
Current State: 53:[59, 79], Operations: ['8+42=50', '29+50=79']
Exploring Operation: 79-59=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Exploring Operation: 59*79=4661, Resulting Numbers: [4661]
4661,53 unequal: No Solution
Exploring Operation: 59+79=138, Resulting Numbers: [138]
138,53 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 #0,2,0
Current State: 53:[50, 88], Operations: ['8+42=50', '29+59=88']
Exploring Operation: 50+88=138, Resulting Numbers: [138]
138,53 unequal: No Solution
Exploring Operation: 50*88=4400, Resulting Numbers: [4400]
4400,53 unequal: No Solution
Exploring Operation: 88-50=38, Resulting Numbers: [38]
38,53 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 #0,1
Current State: 53:[29, 42, 51], Operations: ['59-8=51']
Exploring Operation: 42-29=13, Resulting Numbers: [51, 13]
Generated Node #0,1,0: 53:[51, 13] Operation: 42-29=13
Exploring Operation: 29+42=71, Resulting Numbers: [51, 71]
Generated Node #0,1,1: 53:[51, 71] Operation: 29+42=71
Exploring Operation: 29+51=80, Resulting Numbers: [42, 80]
Generated Node #0,1,2: 53:[42, 80] Operation: 29+51=80
Moving to Node #0,1,1
Current State: 53:[51, 71], Operations: ['59-8=51', '29+42=71']
Exploring Operation: 51+71=122, Resulting Numbers: [122]
122,53 unequal: No Solution
Exploring Operation: 51*71=3621, Resulting Numbers: [3621]
3621,53 unequal: No Solution
Exploring Operation: 71-51=20, Resulting Numbers: [20]
20,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[42, 80], Operations: ['59-8=51', '29+51=80']
Exploring Operation: 80-42=38, Resulting Numbers: [38]
38,53 unequal: No Solution
Exploring Operation: 42*80=3360, Resulting Numbers: [3360]
3360,53 unequal: No Solution
Exploring Operation: 42+80=122, Resulting Numbers: [122]
122,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[51, 13], Operations: ['59-8=51', '42-29=13']
Exploring Operation: 51*13=663, Resulting Numbers: [663]
663,53 unequal: No Solution
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,53 unequal: No Solution
Exploring Operation: 51+13=64, Resulting Numbers: [64]
64,53 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 |
[
65,
87,
6,
6
] | 10 | [
"87-65=22",
"6+6=12",
"22-12=10"
] | Current State: 10:[65, 87, 6, 6], Operations: []
Exploring Operation: 87-65=22, Resulting Numbers: [6, 6, 22]
Generated Node #2: [6, 6, 22] from Operation: 87-65=22
Current State: 10:[6, 6, 22], Operations: ['87-65=22']
Exploring Operation: 6+6=12, Resulting Numbers: [22, 12]
Generated Node #3: [22, 12] from Operation: 6+6=12
Current State: 10:[22, 12], Operations: ['87-65=22', '6+6=12']
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[65, 87, 6, 6], Operations: []
Exploring Operation: 87-65=22, Resulting Numbers: [6, 6, 22]
Generated Node #0,0: 10:[6, 6, 22] Operation: 87-65=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[6, 6, 22], Operations: ['87-65=22']
Exploring Operation: 22-6=16, Resulting Numbers: [6, 16]
Generated Node #0,0,0: 10:[6, 16] Operation: 22-6=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 10:[6, 16], Operations: ['87-65=22', '22-6=16']
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[65, 87, 6, 6], Operations: []
Exploring Operation: 87-65=22, Resulting Numbers: [6, 6, 22]
Generated Node #0,0: 10:[6, 6, 22] Operation: 87-65=22
Moving to Node #0,0
Current State: 10:[6, 6, 22], Operations: ['87-65=22']
Exploring Operation: 22-6=16, Resulting Numbers: [6, 16]
Generated Node #0,0,0: 10:[6, 16] Operation: 22-6=16
Moving to Node #0,0,0
Current State: 10:[6, 16], Operations: ['87-65=22', '22-6=16']
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
30,
85,
14,
86
] | 89 | [
"86-30=56",
"56/14=4",
"85+4=89"
] | Current State: 89:[30, 85, 14, 86], Operations: []
Exploring Operation: 86-30=56, Resulting Numbers: [85, 14, 56]
Generated Node #2: [85, 14, 56] from Operation: 86-30=56
Current State: 89:[85, 14, 56], Operations: ['86-30=56']
Exploring Operation: 56/14=4, Resulting Numbers: [85, 4]
Generated Node #3: [85, 4] from Operation: 56/14=4
Current State: 89:[85, 4], Operations: ['86-30=56', '56/14=4']
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[30, 85, 14, 86], Operations: []
Exploring Operation: 30+14=44, Resulting Numbers: [85, 86, 44]
Generated Node #0,0: 89:[85, 86, 44] Operation: 30+14=44
Exploring Operation: 85+14=99, Resulting Numbers: [30, 86, 99]
Generated Node #0,1: 89:[30, 86, 99] Operation: 85+14=99
Exploring Operation: 30-14=16, Resulting Numbers: [85, 86, 16]
Generated Node #0,2: 89:[85, 86, 16] Operation: 30-14=16
Exploring Operation: 14+86=100, Resulting Numbers: [30, 85, 100]
Generated Node #0,3: 89:[30, 85, 100] Operation: 14+86=100
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[85, 86, 44], Operations: ['30+14=44']
Exploring Operation: 85-44=41, Resulting Numbers: [86, 41]
Generated Node #0,0,0: 89:[86, 41] Operation: 85-44=41
Exploring Operation: 86+44=130, Resulting Numbers: [85, 130]
Generated Node #0,0,1: 89:[85, 130] Operation: 86+44=130
Exploring Operation: 86-44=42, Resulting Numbers: [85, 42]
Generated Node #0,0,2: 89:[85, 42] Operation: 86-44=42
Exploring Operation: 85+44=129, Resulting Numbers: [86, 129]
Generated Node #0,0,3: 89:[86, 129] Operation: 85+44=129
Moving to Node #0,0,3
Current State: 89:[86, 129], Operations: ['30+14=44', '85+44=129']
Exploring Operation: 129-86=43, Resulting Numbers: [43]
43,89 unequal: No Solution
Exploring Operation: 86+129=215, Resulting Numbers: [215]
215,89 unequal: No Solution
Exploring Operation: 86*129=11094, Resulting Numbers: [11094]
11094,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[85, 130], Operations: ['30+14=44', '86+44=130']
Exploring Operation: 85+130=215, Resulting Numbers: [215]
215,89 unequal: No Solution
Exploring Operation: 85*130=11050, Resulting Numbers: [11050]
11050,89 unequal: No Solution
Exploring Operation: 130-85=45, Resulting Numbers: [45]
45,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[85, 42], Operations: ['30+14=44', '86-44=42']
Exploring Operation: 85+42=127, Resulting Numbers: [127]
127,89 unequal: No Solution
Exploring Operation: 85*42=3570, Resulting Numbers: [3570]
3570,89 unequal: No Solution
Exploring Operation: 85-42=43, Resulting Numbers: [43]
43,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[86, 41], Operations: ['30+14=44', '85-44=41']
Exploring Operation: 86+41=127, Resulting Numbers: [127]
127,89 unequal: No Solution
Exploring Operation: 86-41=45, Resulting Numbers: [45]
45,89 unequal: No Solution
Exploring Operation: 86*41=3526, Resulting Numbers: [3526]
3526,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[30, 86, 99], Operations: ['85+14=99']
Exploring Operation: 86-30=56, Resulting Numbers: [99, 56]
Generated Node #0,1,0: 89:[99, 56] Operation: 86-30=56
Exploring Operation: 30+86=116, Resulting Numbers: [99, 116]
Generated Node #0,1,1: 89:[99, 116] Operation: 30+86=116
Exploring Operation: 30+99=129, Resulting Numbers: [86, 129]
Generated Node #0,1,2: 89:[86, 129] Operation: 30+99=129
Exploring Operation: 99-30=69, Resulting Numbers: [86, 69]
Generated Node #0,1,3: 89:[86, 69] Operation: 99-30=69
Moving to Node #0,1,3
Current State: 89:[86, 69], Operations: ['85+14=99', '99-30=69']
Exploring Operation: 86-69=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 86+69=155, Resulting Numbers: [155]
155,89 unequal: No Solution
Exploring Operation: 86*69=5934, Resulting Numbers: [5934]
5934,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[99, 116], Operations: ['85+14=99', '30+86=116']
Exploring Operation: 99*116=11484, Resulting Numbers: [11484]
11484,89 unequal: No Solution
Exploring Operation: 116-99=17, Resulting Numbers: [17]
17,89 unequal: No Solution
Exploring Operation: 99+116=215, Resulting Numbers: [215]
215,89 unequal: No Solution
Moving to Node #0,1,2
Current State: 89:[86, 129], Operations: ['85+14=99', '30+99=129']
Exploring Operation: 129-86=43, Resulting Numbers: [43]
43,89 unequal: No Solution
Exploring Operation: 86*129=11094, Resulting Numbers: [11094]
11094,89 unequal: No Solution
Exploring Operation: 86+129=215, Resulting Numbers: [215]
215,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[99, 56], Operations: ['85+14=99', '86-30=56']
Exploring Operation: 99-56=43, Resulting Numbers: [43]
43,89 unequal: No Solution
Exploring Operation: 99*56=5544, Resulting Numbers: [5544]
5544,89 unequal: No Solution
Exploring Operation: 99+56=155, Resulting Numbers: [155]
155,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 89:[30, 85, 100], Operations: ['14+86=100']
Exploring Operation: 85-30=55, Resulting Numbers: [100, 55]
Generated Node #0,3,0: 89:[100, 55] Operation: 85-30=55
Exploring Operation: 100-30=70, Resulting Numbers: [85, 70]
Generated Node #0,3,1: 89:[85, 70] Operation: 100-30=70
Exploring Operation: 30+100=130, Resulting Numbers: [85, 130]
Generated Node #0,3,2: 89:[85, 130] Operation: 30+100=130
Exploring Operation: 30+85=115, Resulting Numbers: [100, 115]
Generated Node #0,3,3: 89:[100, 115] Operation: 30+85=115
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 89:[85, 70], Operations: ['14+86=100', '100-30=70']
Exploring Operation: 85-70=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 85*70=5950, Resulting Numbers: [5950]
5950,89 unequal: No Solution
Exploring Operation: 85+70=155, Resulting Numbers: [155]
155,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 89:[100, 115], Operations: ['14+86=100', '30+85=115']
Exploring Operation: 100+115=215, Resulting Numbers: [215]
215,89 unequal: No Solution
Exploring Operation: 115-100=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 100*115=11500, Resulting Numbers: [11500]
11500,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 89:[100, 55], Operations: ['14+86=100', '85-30=55']
Exploring Operation: 100+55=155, Resulting Numbers: [155]
155,89 unequal: No Solution
Exploring Operation: 100-55=45, Resulting Numbers: [45]
45,89 unequal: No Solution
Exploring Operation: 100*55=5500, Resulting Numbers: [5500]
5500,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 89:[85, 130], Operations: ['14+86=100', '30+100=130']
Exploring Operation: 85*130=11050, Resulting Numbers: [11050]
11050,89 unequal: No Solution
Exploring Operation: 85+130=215, Resulting Numbers: [215]
215,89 unequal: No Solution
Exploring Operation: 130-85=45, Resulting Numbers: [45]
45,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[85, 86, 16], Operations: ['30-14=16']
Exploring Operation: 86-16=70, Resulting Numbers: [85, 70]
Generated Node #0,2,0: 89:[85, 70] Operation: 86-16=70
Exploring Operation: 85-16=69, Resulting Numbers: [86, 69]
Generated Node #0,2,1: 89:[86, 69] Operation: 85-16=69
Exploring Operation: 85+16=101, Resulting Numbers: [86, 101]
Generated Node #0,2,2: 89:[86, 101] Operation: 85+16=101
Exploring Operation: 86+16=102, Resulting Numbers: [85, 102]
Generated Node #0,2,3: 89:[85, 102] Operation: 86+16=102
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 89:[86, 101], Operations: ['30-14=16', '85+16=101']
Exploring Operation: 86+101=187, Resulting Numbers: [187]
187,89 unequal: No Solution
Exploring Operation: 101-86=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 86*101=8686, Resulting Numbers: [8686]
8686,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 89:[85, 102], Operations: ['30-14=16', '86+16=102']
Exploring Operation: 85+102=187, Resulting Numbers: [187]
187,89 unequal: No Solution
Exploring Operation: 85*102=8670, Resulting Numbers: [8670]
8670,89 unequal: No Solution
Exploring Operation: 102-85=17, Resulting Numbers: [17]
17,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 89:[85, 70], Operations: ['30-14=16', '86-16=70']
Exploring Operation: 85*70=5950, Resulting Numbers: [5950]
5950,89 unequal: No Solution
Exploring Operation: 85-70=15, Resulting Numbers: [15]
15,89 unequal: No Solution
Exploring Operation: 85+70=155, Resulting Numbers: [155]
155,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 89:[86, 69], Operations: ['30-14=16', '85-16=69']
Exploring Operation: 86+69=155, Resulting Numbers: [155]
155,89 unequal: No Solution
Exploring Operation: 86*69=5934, Resulting Numbers: [5934]
5934,89 unequal: No Solution
Exploring Operation: 86-69=17, Resulting Numbers: [17]
17,89 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_4 | mult_heuristic |
[
89,
24,
30,
16
] | 84 | [
"89+16=105",
"24*105=2520",
"2520/30=84"
] | Current State: 84:[89, 24, 30, 16], Operations: []
Exploring Operation: 89+16=105, Resulting Numbers: [24, 30, 105]
Generated Node #2: [24, 30, 105] from Operation: 89+16=105
Current State: 84:[24, 30, 105], Operations: ['89+16=105']
Exploring Operation: 24*105=2520, Resulting Numbers: [30, 2520]
Generated Node #3: [30, 2520] from Operation: 24*105=2520
Current State: 84:[30, 2520], Operations: ['89+16=105', '24*105=2520']
Exploring Operation: 2520/30=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[89, 24, 30, 16], Operations: []
Exploring Operation: 30-24=6, Resulting Numbers: [89, 16, 6]
Generated Node #0,0: 84:[89, 16, 6] Operation: 30-24=6
Moving to Node #0,0
Current State: 84:[89, 16, 6], Operations: ['30-24=6']
Exploring Operation: 89-6=83, Resulting Numbers: [16, 83]
Generated Node #0,0,0: 84:[16, 83] Operation: 89-6=83
Moving to Node #0,0,0
Current State: 84:[16, 83], Operations: ['30-24=6', '89-6=83']
Exploring Operation: 16+83=99, Resulting Numbers: [99]
99,84 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
63,
60,
81,
36
] | 62 | [
"81-63=18",
"36/18=2",
"60+2=62"
] | Current State: 62:[63, 60, 81, 36], Operations: []
Exploring Operation: 81-63=18, Resulting Numbers: [60, 36, 18]
Generated Node #2: [60, 36, 18] from Operation: 81-63=18
Current State: 62:[60, 36, 18], Operations: ['81-63=18']
Exploring Operation: 36/18=2, Resulting Numbers: [60, 2]
Generated Node #3: [60, 2] from Operation: 36/18=2
Current State: 62:[60, 2], Operations: ['81-63=18', '36/18=2']
Exploring Operation: 60+2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[63, 60, 81, 36], Operations: []
Exploring Operation: 81-60=21, Resulting Numbers: [63, 36, 21]
Generated Node #0,0: 62:[63, 36, 21] Operation: 81-60=21
Moving to Node #0,0
Current State: 62:[63, 36, 21], Operations: ['81-60=21']
Exploring Operation: 63/21=3, Resulting Numbers: [36, 3]
Generated Node #0,0,0: 62:[36, 3] Operation: 63/21=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[36, 3], Operations: ['81-60=21', '63/21=3']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,62 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 |
[
5,
3,
1,
62
] | 18 | [
"62-5=57",
"57/3=19",
"19-1=18"
] | Current State: 18:[5, 3, 1, 62], Operations: []
Exploring Operation: 62-5=57, Resulting Numbers: [3, 1, 57]
Generated Node #2: [3, 1, 57] from Operation: 62-5=57
Current State: 18:[3, 1, 57], Operations: ['62-5=57']
Exploring Operation: 57/3=19, Resulting Numbers: [1, 19]
Generated Node #3: [1, 19] from Operation: 57/3=19
Current State: 18:[1, 19], Operations: ['62-5=57', '57/3=19']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[5, 3, 1, 62], Operations: []
Exploring Operation: 62-3=59, Resulting Numbers: [5, 1, 59]
Generated Node #0,0: 18:[5, 1, 59] Operation: 62-3=59
Exploring Operation: 62-5=57, Resulting Numbers: [3, 1, 57]
Generated Node #0,1: 18:[3, 1, 57] Operation: 62-5=57
Moving to Node #0,1
Current State: 18:[3, 1, 57], Operations: ['62-5=57']
Exploring Operation: 57/3=19, Resulting Numbers: [1, 19]
Generated Node #0,1,0: 18:[1, 19] Operation: 57/3=19
Exploring Operation: 57-3=54, Resulting Numbers: [1, 54]
Generated Node #0,1,1: 18:[1, 54] Operation: 57-3=54
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 18:[1, 19], Operations: ['62-5=57', '57/3=19']
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,18 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[5, 3, 1, 62], Operations: []
Exploring Operation: 62-5=57, Resulting Numbers: [3, 1, 57]
Generated Node #0,1: 18:[3, 1, 57] Operation: 62-5=57
Moving to Node #0,1
Current State: 18:[3, 1, 57], Operations: ['62-5=57']
Exploring Operation: 57/3=19, Resulting Numbers: [1, 19]
Generated Node #0,1,0: 18:[1, 19] Operation: 57/3=19
Moving to Node #0,1,0
Current State: 18:[1, 19], Operations: ['62-5=57', '57/3=19']
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
12,
69,
5,
43
] | 95 | [
"69-12=57",
"43-5=38",
"57+38=95"
] | Current State: 95:[12, 69, 5, 43], Operations: []
Exploring Operation: 69-12=57, Resulting Numbers: [5, 43, 57]
Generated Node #2: [5, 43, 57] from Operation: 69-12=57
Current State: 95:[5, 43, 57], Operations: ['69-12=57']
Exploring Operation: 43-5=38, Resulting Numbers: [57, 38]
Generated Node #3: [57, 38] from Operation: 43-5=38
Current State: 95:[57, 38], Operations: ['69-12=57', '43-5=38']
Exploring Operation: 57+38=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[12, 69, 5, 43], Operations: []
Exploring Operation: 69+43=112, Resulting Numbers: [12, 5, 112]
Generated Node #0,0: 95:[12, 5, 112] Operation: 69+43=112
Exploring Operation: 69-43=26, Resulting Numbers: [12, 5, 26]
Generated Node #0,1: 95:[12, 5, 26] Operation: 69-43=26
Exploring Operation: 12+69=81, Resulting Numbers: [5, 43, 81]
Generated Node #0,2: 95:[5, 43, 81] Operation: 12+69=81
Exploring Operation: 43-12=31, Resulting Numbers: [69, 5, 31]
Generated Node #0,3: 95:[69, 5, 31] Operation: 43-12=31
Moving to Node #0,1
Current State: 95:[12, 5, 26], Operations: ['69-43=26']
Exploring Operation: 12+5=17, Resulting Numbers: [26, 17]
Generated Node #0,1,0: 95:[26, 17] Operation: 12+5=17
Exploring Operation: 26-12=14, Resulting Numbers: [5, 14]
Generated Node #0,1,1: 95:[5, 14] Operation: 26-12=14
Exploring Operation: 12-5=7, Resulting Numbers: [26, 7]
Generated Node #0,1,2: 95:[26, 7] Operation: 12-5=7
Exploring Operation: 26-5=21, Resulting Numbers: [12, 21]
Generated Node #0,1,3: 95:[12, 21] Operation: 26-5=21
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 95:[5, 14], Operations: ['69-43=26', '26-12=14']
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,95 unequal: No Solution
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[26, 17], Operations: ['69-43=26', '12+5=17']
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,95 unequal: No Solution
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,95 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 95:[26, 7], Operations: ['69-43=26', '12-5=7']
Exploring Operation: 26+7=33, Resulting Numbers: [33]
33,95 unequal: No Solution
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,95 unequal: No Solution
Exploring Operation: 26*7=182, Resulting Numbers: [182]
182,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 95:[12, 21], Operations: ['69-43=26', '26-5=21']
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,95 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 12*21=252, Resulting Numbers: [252]
252,95 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: 95:[12, 5, 112], Operations: ['69+43=112']
Exploring Operation: 12+5=17, Resulting Numbers: [112, 17]
Generated Node #0,0,0: 95:[112, 17] Operation: 12+5=17
Exploring Operation: 112-5=107, Resulting Numbers: [12, 107]
Generated Node #0,0,1: 95:[12, 107] Operation: 112-5=107
Exploring Operation: 112-12=100, Resulting Numbers: [5, 100]
Generated Node #0,0,2: 95:[5, 100] Operation: 112-12=100
Exploring Operation: 12-5=7, Resulting Numbers: [112, 7]
Generated Node #0,0,3: 95:[112, 7] Operation: 12-5=7
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 95:[5, 100], Operations: ['69+43=112', '112-12=100']
Exploring Operation: 100/5=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Exploring Operation: 5+100=105, Resulting Numbers: [105]
105,95 unequal: No Solution
Exploring Operation: 5*100=500, Resulting Numbers: [500]
500,95 unequal: No Solution
Exploring Operation: 100-5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[12, 69, 5, 43], Operations: []
Exploring Operation: 69+43=112, Resulting Numbers: [12, 5, 112]
Generated Node #0,0: 95:[12, 5, 112] Operation: 69+43=112
Moving to Node #0,0
Current State: 95:[12, 5, 112], Operations: ['69+43=112']
Exploring Operation: 112-12=100, Resulting Numbers: [5, 100]
Generated Node #0,0,2: 95:[5, 100] Operation: 112-12=100
Moving to Node #0,0,2
Current State: 95:[5, 100], Operations: ['69+43=112', '112-12=100']
Exploring Operation: 100-5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.972222 | hs_4 | mult_heuristic |
[
52,
30,
81,
83
] | 44 | [
"52-30=22",
"83-81=2",
"22*2=44"
] | Current State: 44:[52, 30, 81, 83], Operations: []
Exploring Operation: 52-30=22, Resulting Numbers: [81, 83, 22]
Generated Node #2: [81, 83, 22] from Operation: 52-30=22
Current State: 44:[81, 83, 22], Operations: ['52-30=22']
Exploring Operation: 83-81=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 83-81=2
Current State: 44:[22, 2], Operations: ['52-30=22', '83-81=2']
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[52, 30, 81, 83], Operations: []
Exploring Operation: 83-81=2, Resulting Numbers: [52, 30, 2]
Generated Node #0,0: 44:[52, 30, 2] Operation: 83-81=2
Moving to Node #0,0
Current State: 44:[52, 30, 2], Operations: ['83-81=2']
Exploring Operation: 52-30=22, Resulting Numbers: [2, 22]
Generated Node #0,0,0: 44:[2, 22] Operation: 52-30=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 44:[2, 22], Operations: ['83-81=2', '52-30=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[52, 30, 81, 83], Operations: []
Exploring Operation: 83-81=2, Resulting Numbers: [52, 30, 2]
Generated Node #0,0: 44:[52, 30, 2] Operation: 83-81=2
Moving to Node #0,0
Current State: 44:[52, 30, 2], Operations: ['83-81=2']
Exploring Operation: 52-30=22, Resulting Numbers: [2, 22]
Generated Node #0,0,0: 44:[2, 22] Operation: 52-30=22
Moving to Node #0,0,0
Current State: 44:[2, 22], Operations: ['83-81=2', '52-30=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
4,
4,
52,
20
] | 31 | [
"4/4=1",
"52-20=32",
"32-1=31"
] | Current State: 31:[4, 4, 52, 20], Operations: []
Exploring Operation: 4/4=1, Resulting Numbers: [52, 20, 1]
Generated Node #2: [52, 20, 1] from Operation: 4/4=1
Current State: 31:[52, 20, 1], Operations: ['4/4=1']
Exploring Operation: 52-20=32, Resulting Numbers: [1, 32]
Generated Node #3: [1, 32] from Operation: 52-20=32
Current State: 31:[1, 32], Operations: ['4/4=1', '52-20=32']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[4, 4, 52, 20], Operations: []
Exploring Operation: 4+4=8, Resulting Numbers: [52, 20, 8]
Generated Node #0,0: 31:[52, 20, 8] Operation: 4+4=8
Exploring Operation: 4*4=16, Resulting Numbers: [52, 20, 16]
Generated Node #0,1: 31:[52, 20, 16] Operation: 4*4=16
Exploring Operation: 4+20=24, Resulting Numbers: [4, 52, 24]
Generated Node #0,2: 31:[4, 52, 24] Operation: 4+20=24
Exploring Operation: 52-4=48, Resulting Numbers: [4, 20, 48]
Generated Node #0,3: 31:[4, 20, 48] Operation: 52-4=48
Moving to Node #0,1
Current State: 31:[52, 20, 16], Operations: ['4*4=16']
Exploring Operation: 52-16=36, Resulting Numbers: [20, 36]
Generated Node #0,1,0: 31:[20, 36] Operation: 52-16=36
Exploring Operation: 52+16=68, Resulting Numbers: [20, 68]
Generated Node #0,1,1: 31:[20, 68] Operation: 52+16=68
Exploring Operation: 52-20=32, Resulting Numbers: [16, 32]
Generated Node #0,1,2: 31:[16, 32] Operation: 52-20=32
Exploring Operation: 20+16=36, Resulting Numbers: [52, 36]
Generated Node #0,1,3: 31:[52, 36] Operation: 20+16=36
Moving to Node #0,2
Current State: 31:[4, 52, 24], Operations: ['4+20=24']
Exploring Operation: 4+24=28, Resulting Numbers: [52, 28]
Generated Node #0,2,0: 31:[52, 28] Operation: 4+24=28
Exploring Operation: 52/4=13, Resulting Numbers: [24, 13]
Generated Node #0,2,1: 31:[24, 13] Operation: 52/4=13
Exploring Operation: 52-24=28, Resulting Numbers: [4, 28]
Generated Node #0,2,2: 31:[4, 28] Operation: 52-24=28
Exploring Operation: 52-4=48, Resulting Numbers: [24, 48]
Generated Node #0,2,3: 31:[24, 48] Operation: 52-4=48
Moving to Node #0,0
Current State: 31:[52, 20, 8], Operations: ['4+4=8']
Exploring Operation: 52+8=60, Resulting Numbers: [20, 60]
Generated Node #0,0,0: 31:[20, 60] Operation: 52+8=60
Exploring Operation: 52-8=44, Resulting Numbers: [20, 44]
Generated Node #0,0,1: 31:[20, 44] Operation: 52-8=44
Exploring Operation: 52-20=32, Resulting Numbers: [8, 32]
Generated Node #0,0,2: 31:[8, 32] Operation: 52-20=32
Exploring Operation: 20+8=28, Resulting Numbers: [52, 28]
Generated Node #0,0,3: 31:[52, 28] Operation: 20+8=28
Moving to Node #0,3
Current State: 31:[4, 20, 48], Operations: ['52-4=48']
Exploring Operation: 4+20=24, Resulting Numbers: [48, 24]
Generated Node #0,3,0: 31:[48, 24] Operation: 4+20=24
Exploring Operation: 48/4=12, Resulting Numbers: [20, 12]
Generated Node #0,3,1: 31:[20, 12] Operation: 48/4=12
Exploring Operation: 48-20=28, Resulting Numbers: [4, 28]
Generated Node #0,3,2: 31:[4, 28] Operation: 48-20=28
Exploring Operation: 48-4=44, Resulting Numbers: [20, 44]
Generated Node #0,3,3: 31:[20, 44] Operation: 48-4=44
Moving to Node #0,1,0
Current State: 31:[20, 36], Operations: ['4*4=16', '52-16=36']
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,31 unequal: No Solution
Exploring Operation: 20+36=56, Resulting Numbers: [56]
56,31 unequal: No Solution
Exploring Operation: 20*36=720, Resulting Numbers: [720]
720,31 unequal: No Solution
Moving to Node #0,1,2
Current State: 31:[16, 32], Operations: ['4*4=16', '52-20=32']
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,31 unequal: No Solution
Exploring Operation: 16+32=48, Resulting Numbers: [48]
48,31 unequal: No Solution
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,31 unequal: No Solution
Exploring Operation: 16*32=512, Resulting Numbers: [512]
512,31 unequal: No Solution
Moving to Node #0,2,3
Current State: 31:[24, 48], Operations: ['4+20=24', '52-4=48']
Exploring Operation: 24*48=1152, Resulting Numbers: [1152]
1152,31 unequal: No Solution
Exploring Operation: 48-24=24, Resulting Numbers: [24]
24,31 unequal: No Solution
Exploring Operation: 24+48=72, Resulting Numbers: [72]
72,31 unequal: No Solution
Exploring Operation: 48/24=2, Resulting Numbers: [2]
2,31 unequal: No Solution
Moving to Node #0,3,3
Current State: 31:[20, 44], Operations: ['52-4=48', '48-4=44']
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,31 unequal: No Solution
Exploring Operation: 20+44=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Exploring Operation: 20*44=880, Resulting Numbers: [880]
880,31 unequal: No Solution
Moving to Node #0,3,0
Current State: 31:[48, 24], Operations: ['52-4=48', '4+20=24']
Exploring Operation: 48-24=24, Resulting Numbers: [24]
24,31 unequal: No Solution
Exploring Operation: 48+24=72, Resulting Numbers: [72]
72,31 unequal: No Solution
Exploring Operation: 48/24=2, Resulting Numbers: [2]
2,31 unequal: No Solution
Exploring Operation: 48*24=1152, Resulting Numbers: [1152]
1152,31 unequal: No Solution
Moving to Node #0,2,0
Current State: 31:[52, 28], Operations: ['4+20=24', '4+24=28']
Exploring Operation: 52+28=80, Resulting Numbers: [80]
80,31 unequal: No Solution
Exploring Operation: 52-28=24, Resulting Numbers: [24]
24,31 unequal: No Solution
Exploring Operation: 52*28=1456, Resulting Numbers: [1456]
1456,31 unequal: No Solution
Moving to Node #0,0,3
Current State: 31:[52, 28], Operations: ['4+4=8', '20+8=28']
Exploring Operation: 52-28=24, Resulting Numbers: [24]
24,31 unequal: No Solution
Exploring Operation: 52*28=1456, Resulting Numbers: [1456]
1456,31 unequal: No Solution
Exploring Operation: 52+28=80, Resulting Numbers: [80]
80,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[8, 32], Operations: ['4+4=8', '52-20=32']
Exploring Operation: 8+32=40, Resulting Numbers: [40]
40,31 unequal: No Solution
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,31 unequal: No Solution
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,31 unequal: No Solution
Exploring Operation: 8*32=256, Resulting Numbers: [256]
256,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[20, 44], Operations: ['4+4=8', '52-8=44']
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,31 unequal: No Solution
Exploring Operation: 20*44=880, Resulting Numbers: [880]
880,31 unequal: No Solution
Exploring Operation: 20+44=64, Resulting Numbers: [64]
64,31 unequal: No Solution
Moving to Node #0,2,1
Current State: 31:[24, 13], Operations: ['4+20=24', '52/4=13']
Exploring Operation: 24*13=312, Resulting Numbers: [312]
312,31 unequal: No Solution
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,31 unequal: No Solution
Exploring Operation: 24+13=37, Resulting Numbers: [37]
37,31 unequal: No Solution
Moving to Node #0,1,3
Current State: 31:[52, 36], Operations: ['4*4=16', '20+16=36']
Exploring Operation: 52*36=1872, Resulting Numbers: [1872]
1872,31 unequal: No Solution
Exploring Operation: 52-36=16, Resulting Numbers: [16]
16,31 unequal: No Solution
Exploring Operation: 52+36=88, Resulting Numbers: [88]
88,31 unequal: No Solution
Moving to Node #0,3,1
Current State: 31:[20, 12], Operations: ['52-4=48', '48/4=12']
Exploring Operation: 20+12=32, Resulting Numbers: [32]
32,31 unequal: No Solution
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,31 unequal: No Solution
Exploring Operation: 20*12=240, Resulting Numbers: [240]
240,31 unequal: No Solution
Moving to Node #0,2,2
Current State: 31:[4, 28], Operations: ['4+20=24', '52-24=28']
Exploring Operation: 4*28=112, Resulting Numbers: [112]
112,31 unequal: No Solution
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,31 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,31 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,31 unequal: No Solution
Moving to Node #0,3,2
Current State: 31:[4, 28], Operations: ['52-4=48', '48-20=28']
Exploring Operation: 4*28=112, Resulting Numbers: [112]
112,31 unequal: No Solution
Exploring Operation: 28-4=24, Resulting Numbers: [24]
24,31 unequal: No Solution
Exploring Operation: 4+28=32, Resulting Numbers: [32]
32,31 unequal: No Solution
Exploring Operation: 28/4=7, Resulting Numbers: [7]
7,31 unequal: No Solution
Moving to Node #0,0,0
Current State: 31:[20, 60], Operations: ['4+4=8', '52+8=60']
Exploring Operation: 60-20=40, Resulting Numbers: [40]
40,31 unequal: No Solution
Exploring Operation: 20*60=1200, Resulting Numbers: [1200]
1200,31 unequal: No Solution
Exploring Operation: 60/20=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Exploring Operation: 20+60=80, Resulting Numbers: [80]
80,31 unequal: No Solution
Moving to Node #0,1,1
Current State: 31:[20, 68], Operations: ['4*4=16', '52+16=68']
Exploring Operation: 20+68=88, Resulting Numbers: [88]
88,31 unequal: No Solution
Exploring Operation: 68-20=48, Resulting Numbers: [48]
48,31 unequal: No Solution
Exploring Operation: 20*68=1360, Resulting Numbers: [1360]
1360,31 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
44,
54,
88,
29
] | 22 | [
"44*29=1276",
"1276-88=1188",
"1188/54=22"
] | Current State: 22:[44, 54, 88, 29], Operations: []
Exploring Operation: 44*29=1276, Resulting Numbers: [54, 88, 1276]
Generated Node #2: [54, 88, 1276] from Operation: 44*29=1276
Current State: 22:[54, 88, 1276], Operations: ['44*29=1276']
Exploring Operation: 1276-88=1188, Resulting Numbers: [54, 1188]
Generated Node #3: [54, 1188] from Operation: 1276-88=1188
Current State: 22:[54, 1188], Operations: ['44*29=1276', '1276-88=1188']
Exploring Operation: 1188/54=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[44, 54, 88, 29], Operations: []
Exploring Operation: 88-54=34, Resulting Numbers: [44, 29, 34]
Generated Node #0,0: 22:[44, 29, 34] Operation: 88-54=34
Exploring Operation: 88/44=2, Resulting Numbers: [54, 29, 2]
Generated Node #0,1: 22:[54, 29, 2] Operation: 88/44=2
Moving to Node #0,1
Current State: 22:[54, 29, 2], Operations: ['88/44=2']
Exploring Operation: 54-29=25, Resulting Numbers: [2, 25]
Generated Node #0,1,0: 22:[2, 25] Operation: 54-29=25
Exploring Operation: 54/2=27, Resulting Numbers: [29, 27]
Generated Node #0,1,1: 22:[29, 27] Operation: 54/2=27
Moving to Node #0,0
Current State: 22:[44, 29, 34], Operations: ['88-54=34']
Exploring Operation: 44-29=15, Resulting Numbers: [34, 15]
Generated Node #0,0,0: 22:[34, 15] Operation: 44-29=15
Exploring Operation: 44-34=10, Resulting Numbers: [29, 10]
Generated Node #0,0,1: 22:[29, 10] Operation: 44-34=10
Moving to Node #0,1,0
Current State: 22:[2, 25], Operations: ['88/44=2', '54-29=25']
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,22 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,22 unequal: No Solution
Moving to Node #0,0,1
Current State: 22:[29, 10], Operations: ['88-54=34', '44-34=10']
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,22 unequal: No Solution
Moving to Node #0,1,1
Current State: 22:[29, 27], Operations: ['88/44=2', '54/2=27']
Exploring Operation: 29+27=56, Resulting Numbers: [56]
56,22 unequal: No Solution
Exploring Operation: 29-27=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Moving to Node #0,0,0
Current State: 22:[34, 15], Operations: ['88-54=34', '44-29=15']
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,22 unequal: No Solution
Exploring Operation: 34+15=49, Resulting Numbers: [49]
49,22 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
52,
61,
18,
81
] | 90 | [
"61-52=9",
"18+81=99",
"99-9=90"
] | Current State: 90:[52, 61, 18, 81], Operations: []
Exploring Operation: 61-52=9, Resulting Numbers: [18, 81, 9]
Generated Node #2: [18, 81, 9] from Operation: 61-52=9
Current State: 90:[18, 81, 9], Operations: ['61-52=9']
Exploring Operation: 18+81=99, Resulting Numbers: [9, 99]
Generated Node #3: [9, 99] from Operation: 18+81=99
Current State: 90:[9, 99], Operations: ['61-52=9', '18+81=99']
Exploring Operation: 99-9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[52, 61, 18, 81], Operations: []
Exploring Operation: 81-61=20, Resulting Numbers: [52, 18, 20]
Generated Node #0,0: 90:[52, 18, 20] Operation: 81-61=20
Exploring Operation: 81-52=29, Resulting Numbers: [61, 18, 29]
Generated Node #0,1: 90:[61, 18, 29] Operation: 81-52=29
Exploring Operation: 61-52=9, Resulting Numbers: [18, 81, 9]
Generated Node #0,2: 90:[18, 81, 9] Operation: 61-52=9
Exploring Operation: 61-18=43, Resulting Numbers: [52, 81, 43]
Generated Node #0,3: 90:[52, 81, 43] Operation: 61-18=43
Moving to Node #0,0
Current State: 90:[52, 18, 20], Operations: ['81-61=20']
Exploring Operation: 18+20=38, Resulting Numbers: [52, 38]
Generated Node #0,0,0: 90:[52, 38] Operation: 18+20=38
Exploring Operation: 52-18=34, Resulting Numbers: [20, 34]
Generated Node #0,0,1: 90:[20, 34] Operation: 52-18=34
Exploring Operation: 20-18=2, Resulting Numbers: [52, 2]
Generated Node #0,0,2: 90:[52, 2] Operation: 20-18=2
Exploring Operation: 52-20=32, Resulting Numbers: [18, 32]
Generated Node #0,0,3: 90:[18, 32] Operation: 52-20=32
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 90:[18, 32], Operations: ['81-61=20', '52-20=32']
Exploring Operation: 18*32=576, Resulting Numbers: [576]
576,90 unequal: No Solution
Exploring Operation: 18+32=50, Resulting Numbers: [50]
50,90 unequal: No Solution
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,90 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:[20, 34], Operations: ['81-61=20', '52-18=34']
Exploring Operation: 20*34=680, Resulting Numbers: [680]
680,90 unequal: No Solution
Exploring Operation: 34-20=14, Resulting Numbers: [14]
14,90 unequal: No Solution
Exploring Operation: 20+34=54, Resulting Numbers: [54]
54,90 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:[52, 2], Operations: ['81-61=20', '20-18=2']
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,90 unequal: No Solution
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,90 unequal: No Solution
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 52*2=104, Resulting Numbers: [104]
104,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 90:[52, 38], Operations: ['81-61=20', '18+20=38']
Exploring Operation: 52*38=1976, Resulting Numbers: [1976]
1976,90 unequal: No Solution
Exploring Operation: 52+38=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[52, 61, 18, 81], Operations: []
Exploring Operation: 81-61=20, Resulting Numbers: [52, 18, 20]
Generated Node #0,0: 90:[52, 18, 20] Operation: 81-61=20
Moving to Node #0,0
Current State: 90:[52, 18, 20], Operations: ['81-61=20']
Exploring Operation: 18+20=38, Resulting Numbers: [52, 38]
Generated Node #0,0,0: 90:[52, 38] Operation: 18+20=38
Moving to Node #0,0,0
Current State: 90:[52, 38], Operations: ['81-61=20', '18+20=38']
Exploring Operation: 52+38=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_4 | sum_heuristic |
[
96,
48,
46,
68
] | 80 | [
"96/48=2",
"68/2=34",
"46+34=80"
] | Current State: 80:[96, 48, 46, 68], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [46, 68, 2]
Generated Node #2: [46, 68, 2] from Operation: 96/48=2
Current State: 80:[46, 68, 2], Operations: ['96/48=2']
Exploring Operation: 68/2=34, Resulting Numbers: [46, 34]
Generated Node #3: [46, 34] from Operation: 68/2=34
Current State: 80:[46, 34], Operations: ['96/48=2', '68/2=34']
Exploring Operation: 46+34=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[96, 48, 46, 68], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [46, 68, 2]
Generated Node #0,0: 80:[46, 68, 2] Operation: 96/48=2
Exploring Operation: 68-48=20, Resulting Numbers: [96, 46, 20]
Generated Node #0,1: 80:[96, 46, 20] Operation: 68-48=20
Exploring Operation: 96-68=28, Resulting Numbers: [48, 46, 28]
Generated Node #0,2: 80:[48, 46, 28] Operation: 96-68=28
Exploring Operation: 96-48=48, Resulting Numbers: [46, 68, 48]
Generated Node #0,3: 80:[46, 68, 48] Operation: 96-48=48
Exploring Operation: 68-46=22, Resulting Numbers: [96, 48, 22]
Generated Node #0,4: 80:[96, 48, 22] Operation: 68-46=22
Moving to Node #0,0
Current State: 80:[46, 68, 2], Operations: ['96/48=2']
Exploring Operation: 68/2=34, Resulting Numbers: [46, 34]
Generated Node #0,0,0: 80:[46, 34] Operation: 68/2=34
Exploring Operation: 46-2=44, Resulting Numbers: [68, 44]
Generated Node #0,0,1: 80:[68, 44] Operation: 46-2=44
Exploring Operation: 46/2=23, Resulting Numbers: [68, 23]
Generated Node #0,0,2: 80:[68, 23] Operation: 46/2=23
Exploring Operation: 68+2=70, Resulting Numbers: [46, 70]
Generated Node #0,0,3: 80:[46, 70] Operation: 68+2=70
Exploring Operation: 68-46=22, Resulting Numbers: [2, 22]
Generated Node #0,0,4: 80:[2, 22] Operation: 68-46=22
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 80:[2, 22], Operations: ['96/48=2', '68-46=22']
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,80 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,80 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[46, 34], Operations: ['96/48=2', '68/2=34']
Exploring Operation: 46+34=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[96, 48, 46, 68], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [46, 68, 2]
Generated Node #0,0: 80:[46, 68, 2] Operation: 96/48=2
Moving to Node #0,0
Current State: 80:[46, 68, 2], Operations: ['96/48=2']
Exploring Operation: 68/2=34, Resulting Numbers: [46, 34]
Generated Node #0,0,0: 80:[46, 34] Operation: 68/2=34
Moving to Node #0,0,0
Current State: 80:[46, 34], Operations: ['96/48=2', '68/2=34']
Exploring Operation: 46+34=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
94,
30,
20,
40
] | 66 | [
"94-30=64",
"40/20=2",
"64+2=66"
] | Current State: 66:[94, 30, 20, 40], Operations: []
Exploring Operation: 94-30=64, Resulting Numbers: [20, 40, 64]
Generated Node #2: [20, 40, 64] from Operation: 94-30=64
Current State: 66:[20, 40, 64], Operations: ['94-30=64']
Exploring Operation: 40/20=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 40/20=2
Current State: 66:[64, 2], Operations: ['94-30=64', '40/20=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[94, 30, 20, 40], Operations: []
Exploring Operation: 94-40=54, Resulting Numbers: [30, 20, 54]
Generated Node #0,0: 66:[30, 20, 54] Operation: 94-40=54
Exploring Operation: 94-30=64, Resulting Numbers: [20, 40, 64]
Generated Node #0,1: 66:[20, 40, 64] Operation: 94-30=64
Moving to Node #0,1
Current State: 66:[20, 40, 64], Operations: ['94-30=64']
Exploring Operation: 40-20=20, Resulting Numbers: [64, 20]
Generated Node #0,1,0: 66:[64, 20] Operation: 40-20=20
Exploring Operation: 40/20=2, Resulting Numbers: [64, 2]
Generated Node #0,1,1: 66:[64, 2] Operation: 40/20=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 66:[64, 2], Operations: ['94-30=64', '40/20=2']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,66 unequal: No Solution
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[94, 30, 20, 40], Operations: []
Exploring Operation: 94-30=64, Resulting Numbers: [20, 40, 64]
Generated Node #0,1: 66:[20, 40, 64] Operation: 94-30=64
Moving to Node #0,1
Current State: 66:[20, 40, 64], Operations: ['94-30=64']
Exploring Operation: 40/20=2, Resulting Numbers: [64, 2]
Generated Node #0,1,1: 66:[64, 2] Operation: 40/20=2
Moving to Node #0,1,1
Current State: 66:[64, 2], Operations: ['94-30=64', '40/20=2']
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
74,
99,
47,
49
] | 73 | [
"74*47=3478",
"99+3478=3577",
"3577/49=73"
] | Current State: 73:[74, 99, 47, 49], Operations: []
Exploring Operation: 74*47=3478, Resulting Numbers: [99, 49, 3478]
Generated Node #2: [99, 49, 3478] from Operation: 74*47=3478
Current State: 73:[99, 49, 3478], Operations: ['74*47=3478']
Exploring Operation: 99+3478=3577, Resulting Numbers: [49, 3577]
Generated Node #3: [49, 3577] from Operation: 99+3478=3577
Current State: 73:[49, 3577], Operations: ['74*47=3478', '99+3478=3577']
Exploring Operation: 3577/49=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[74, 99, 47, 49], Operations: []
Exploring Operation: 99-47=52, Resulting Numbers: [74, 49, 52]
Generated Node #0,0: 73:[74, 49, 52] Operation: 99-47=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[74, 49, 52], Operations: ['99-47=52']
Exploring Operation: 49+52=101, Resulting Numbers: [74, 101]
Generated Node #0,0,0: 73:[74, 101] Operation: 49+52=101
Moving to Node #0,0,0
Current State: 73:[74, 101], Operations: ['99-47=52', '49+52=101']
Exploring Operation: 101-74=27, Resulting Numbers: [27]
27,73 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 |
[
82,
20,
2,
32
] | 40 | [
"82-32=50",
"20/2=10",
"50-10=40"
] | Current State: 40:[82, 20, 2, 32], Operations: []
Exploring Operation: 82-32=50, Resulting Numbers: [20, 2, 50]
Generated Node #2: [20, 2, 50] from Operation: 82-32=50
Current State: 40:[20, 2, 50], Operations: ['82-32=50']
Exploring Operation: 20/2=10, Resulting Numbers: [50, 10]
Generated Node #3: [50, 10] from Operation: 20/2=10
Current State: 40:[50, 10], Operations: ['82-32=50', '20/2=10']
Exploring Operation: 50-10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[82, 20, 2, 32], Operations: []
Exploring Operation: 82/2=41, Resulting Numbers: [20, 32, 41]
Generated Node #0,0: 40:[20, 32, 41] Operation: 82/2=41
Exploring Operation: 82-32=50, Resulting Numbers: [20, 2, 50]
Generated Node #0,1: 40:[20, 2, 50] Operation: 82-32=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[20, 32, 41], Operations: ['82/2=41']
Exploring Operation: 41-32=9, Resulting Numbers: [20, 9]
Generated Node #0,0,0: 40:[20, 9] Operation: 41-32=9
Exploring Operation: 32-20=12, Resulting Numbers: [41, 12]
Generated Node #0,0,1: 40:[41, 12] Operation: 32-20=12
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 40:[20, 9], Operations: ['82/2=41', '41-32=9']
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,40 unequal: No Solution
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 40:[41, 12], Operations: ['82/2=41', '32-20=12']
Exploring Operation: 41-12=29, Resulting Numbers: [29]
29,40 unequal: No Solution
Exploring Operation: 41+12=53, Resulting Numbers: [53]
53,40 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[20, 2, 50], Operations: ['82-32=50']
Exploring Operation: 50-2=48, Resulting Numbers: [20, 48]
Generated Node #0,1,0: 40:[20, 48] Operation: 50-2=48
Exploring Operation: 50/2=25, Resulting Numbers: [20, 25]
Generated Node #0,1,1: 40:[20, 25] Operation: 50/2=25
Moving to Node #0,1,1
Current State: 40:[20, 25], Operations: ['82-32=50', '50/2=25']
Exploring Operation: 20+25=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,40 unequal: No Solution
Moving to Node #0,1,0
Current State: 40:[20, 48], Operations: ['82-32=50', '50-2=48']
Exploring Operation: 20+48=68, Resulting Numbers: [68]
68,40 unequal: No Solution
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,40 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 |
[
14,
39,
38,
25
] | 37 | [
"39-14=25",
"25/25=1",
"38-1=37"
] | Current State: 37:[14, 39, 38, 25], Operations: []
Exploring Operation: 39-14=25, Resulting Numbers: [38, 25, 25]
Generated Node #2: [38, 25, 25] from Operation: 39-14=25
Current State: 37:[38, 25, 25], Operations: ['39-14=25']
Exploring Operation: 25/25=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 25/25=1
Current State: 37:[38, 1], Operations: ['39-14=25', '25/25=1']
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[14, 39, 38, 25], Operations: []
Exploring Operation: 38-14=24, Resulting Numbers: [39, 25, 24]
Generated Node #0,0: 37:[39, 25, 24] Operation: 38-14=24
Exploring Operation: 39-14=25, Resulting Numbers: [38, 25, 25]
Generated Node #0,1: 37:[38, 25, 25] Operation: 39-14=25
Exploring Operation: 14+25=39, Resulting Numbers: [39, 38, 39]
Generated Node #0,2: 37:[39, 38, 39] Operation: 14+25=39
Exploring Operation: 14+39=53, Resulting Numbers: [38, 25, 53]
Generated Node #0,3: 37:[38, 25, 53] Operation: 14+39=53
Moving to Node #0,2
Current State: 37:[39, 38, 39], Operations: ['14+25=39']
Exploring Operation: 39-39=0, Resulting Numbers: [38, 0]
Generated Node #0,2,0: 37:[38, 0] Operation: 39-39=0
Exploring Operation: 39-38=1, Resulting Numbers: [39, 1]
Generated Node #0,2,1: 37:[39, 1] Operation: 39-38=1
Exploring Operation: 39-38=1, Resulting Numbers: [39, 1]
Generated Node #0,2,2: 37:[39, 1] Operation: 39-38=1
Exploring Operation: 39/39=1, Resulting Numbers: [38, 1]
Generated Node #0,2,3: 37:[38, 1] Operation: 39/39=1
Moving to Node #0,1
Current State: 37:[38, 25, 25], Operations: ['39-14=25']
Exploring Operation: 25/25=1, Resulting Numbers: [38, 1]
Generated Node #0,1,0: 37:[38, 1] Operation: 25/25=1
Exploring Operation: 38-25=13, Resulting Numbers: [25, 13]
Generated Node #0,1,1: 37:[25, 13] Operation: 38-25=13
Exploring Operation: 38-25=13, Resulting Numbers: [25, 13]
Generated Node #0,1,2: 37:[25, 13] Operation: 38-25=13
Exploring Operation: 25+25=50, Resulting Numbers: [38, 50]
Generated Node #0,1,3: 37:[38, 50] Operation: 25+25=50
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 37:[38, 50], Operations: ['39-14=25', '25+25=50']
Exploring Operation: 38+50=88, Resulting Numbers: [88]
88,37 unequal: No Solution
Exploring Operation: 50-38=12, Resulting Numbers: [12]
12,37 unequal: No Solution
Exploring Operation: 38*50=1900, Resulting Numbers: [1900]
1900,37 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:[25, 13], Operations: ['39-14=25', '38-25=13']
Exploring Operation: 25*13=325, Resulting Numbers: [325]
325,37 unequal: No Solution
Exploring Operation: 25+13=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,37 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:[25, 13], Operations: ['39-14=25', '38-25=13']
Exploring Operation: 25+13=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,37 unequal: No Solution
Exploring Operation: 25*13=325, Resulting Numbers: [325]
325,37 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 #0,1,0
Current State: 37:[38, 1], Operations: ['39-14=25', '25/25=1']
Exploring Operation: 38*1=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Exploring Operation: 38+1=39, Resulting Numbers: [39]
39,37 unequal: No Solution
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[14, 39, 38, 25], Operations: []
Exploring Operation: 39-14=25, Resulting Numbers: [38, 25, 25]
Generated Node #0,1: 37:[38, 25, 25] Operation: 39-14=25
Moving to Node #0,1
Current State: 37:[38, 25, 25], Operations: ['39-14=25']
Exploring Operation: 25/25=1, Resulting Numbers: [38, 1]
Generated Node #0,1,0: 37:[38, 1] Operation: 25/25=1
Moving to Node #0,1,0
Current State: 37:[38, 1], Operations: ['39-14=25', '25/25=1']
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_4 | mult_heuristic |
[
13,
53,
61,
46
] | 41 | [
"13+53=66",
"61+46=107",
"107-66=41"
] | Current State: 41:[13, 53, 61, 46], Operations: []
Exploring Operation: 13+53=66, Resulting Numbers: [61, 46, 66]
Generated Node #2: [61, 46, 66] from Operation: 13+53=66
Current State: 41:[61, 46, 66], Operations: ['13+53=66']
Exploring Operation: 61+46=107, Resulting Numbers: [66, 107]
Generated Node #3: [66, 107] from Operation: 61+46=107
Current State: 41:[66, 107], Operations: ['13+53=66', '61+46=107']
Exploring Operation: 107-66=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[13, 53, 61, 46], Operations: []
Exploring Operation: 61-13=48, Resulting Numbers: [53, 46, 48]
Generated Node #0,0: 41:[53, 46, 48] Operation: 61-13=48
Exploring Operation: 46-13=33, Resulting Numbers: [53, 61, 33]
Generated Node #0,1: 41:[53, 61, 33] Operation: 46-13=33
Exploring Operation: 53-13=40, Resulting Numbers: [61, 46, 40]
Generated Node #0,2: 41:[61, 46, 40] Operation: 53-13=40
Exploring Operation: 13+61=74, Resulting Numbers: [53, 46, 74]
Generated Node #0,3: 41:[53, 46, 74] Operation: 13+61=74
Exploring Operation: 13+53=66, Resulting Numbers: [61, 46, 66]
Generated Node #0,4: 41:[61, 46, 66] Operation: 13+53=66
Moving to Node #0,0
Current State: 41:[53, 46, 48], Operations: ['61-13=48']
Exploring Operation: 53+48=101, Resulting Numbers: [46, 101]
Generated Node #0,0,0: 41:[46, 101] Operation: 53+48=101
Exploring Operation: 53+46=99, Resulting Numbers: [48, 99]
Generated Node #0,0,1: 41:[48, 99] Operation: 53+46=99
Exploring Operation: 53-48=5, Resulting Numbers: [46, 5]
Generated Node #0,0,2: 41:[46, 5] Operation: 53-48=5
Exploring Operation: 48-46=2, Resulting Numbers: [53, 2]
Generated Node #0,0,3: 41:[53, 2] Operation: 48-46=2
Exploring Operation: 53-46=7, Resulting Numbers: [48, 7]
Generated Node #0,0,4: 41:[48, 7] Operation: 53-46=7
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 41:[46, 5], Operations: ['61-13=48', '53-48=5']
Exploring Operation: 46*5=230, Resulting Numbers: [230]
230,41 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[13, 53, 61, 46], Operations: []
Exploring Operation: 61-13=48, Resulting Numbers: [53, 46, 48]
Generated Node #0,0: 41:[53, 46, 48] Operation: 61-13=48
Moving to Node #0,0
Current State: 41:[53, 46, 48], Operations: ['61-13=48']
Exploring Operation: 53-48=5, Resulting Numbers: [46, 5]
Generated Node #0,0,2: 41:[46, 5] Operation: 53-48=5
Moving to Node #0,0,2
Current State: 41:[46, 5], Operations: ['61-13=48', '53-48=5']
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
69,
98,
37,
7
] | 18 | [
"69-37=32",
"98/7=14",
"32-14=18"
] | Current State: 18:[69, 98, 37, 7], Operations: []
Exploring Operation: 69-37=32, Resulting Numbers: [98, 7, 32]
Generated Node #2: [98, 7, 32] from Operation: 69-37=32
Current State: 18:[98, 7, 32], Operations: ['69-37=32']
Exploring Operation: 98/7=14, Resulting Numbers: [32, 14]
Generated Node #3: [32, 14] from Operation: 98/7=14
Current State: 18:[32, 14], Operations: ['69-37=32', '98/7=14']
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[69, 98, 37, 7], Operations: []
Exploring Operation: 98/7=14, Resulting Numbers: [69, 37, 14]
Generated Node #0,0: 18:[69, 37, 14] Operation: 98/7=14
Exploring Operation: 69-37=32, Resulting Numbers: [98, 7, 32]
Generated Node #0,1: 18:[98, 7, 32] Operation: 69-37=32
Exploring Operation: 98-69=29, Resulting Numbers: [37, 7, 29]
Generated Node #0,2: 18:[37, 7, 29] Operation: 98-69=29
Start Sub Search at level 1: Moving to Node #0,2
Current State: 18:[37, 7, 29], Operations: ['98-69=29']
Exploring Operation: 37-29=8, Resulting Numbers: [7, 8]
Generated Node #0,2,0: 18:[7, 8] Operation: 37-29=8
Exploring Operation: 29-7=22, Resulting Numbers: [37, 22]
Generated Node #0,2,1: 18:[37, 22] Operation: 29-7=22
Exploring Operation: 37-7=30, Resulting Numbers: [29, 30]
Generated Node #0,2,2: 18:[29, 30] Operation: 37-7=30
Moving to Node #0,2,0
Current State: 18:[7, 8], Operations: ['98-69=29', '37-29=8']
Exploring Operation: 7+8=15, Resulting Numbers: [15]
15,18 unequal: No Solution
Exploring Operation: 7*8=56, Resulting Numbers: [56]
56,18 unequal: No Solution
Exploring Operation: 8-7=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Moving to Node #0,2,1
Current State: 18:[37, 22], Operations: ['98-69=29', '29-7=22']
Exploring Operation: 37+22=59, Resulting Numbers: [59]
59,18 unequal: No Solution
Exploring Operation: 37*22=814, Resulting Numbers: [814]
814,18 unequal: No Solution
Exploring Operation: 37-22=15, Resulting Numbers: [15]
15,18 unequal: No Solution
Moving to Node #0,2,2
Current State: 18:[29, 30], Operations: ['98-69=29', '37-7=30']
Exploring Operation: 29+30=59, Resulting Numbers: [59]
59,18 unequal: No Solution
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 29*30=870, Resulting Numbers: [870]
870,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[69, 37, 14], Operations: ['98/7=14']
Exploring Operation: 37-14=23, Resulting Numbers: [69, 23]
Generated Node #0,0,0: 18:[69, 23] Operation: 37-14=23
Exploring Operation: 69-14=55, Resulting Numbers: [37, 55]
Generated Node #0,0,1: 18:[37, 55] Operation: 69-14=55
Exploring Operation: 69-37=32, Resulting Numbers: [14, 32]
Generated Node #0,0,2: 18:[14, 32] Operation: 69-37=32
Moving to Node #0,0,2
Current State: 18:[14, 32], Operations: ['98/7=14', '69-37=32']
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[69, 98, 37, 7], Operations: []
Exploring Operation: 98/7=14, Resulting Numbers: [69, 37, 14]
Generated Node #0,0: 18:[69, 37, 14] Operation: 98/7=14
Moving to Node #0,0
Current State: 18:[69, 37, 14], Operations: ['98/7=14']
Exploring Operation: 69-37=32, Resulting Numbers: [14, 32]
Generated Node #0,0,2: 18:[14, 32] Operation: 69-37=32
Moving to Node #0,0,2
Current State: 18:[14, 32], Operations: ['98/7=14', '69-37=32']
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
39,
80,
81,
15
] | 55 | [
"80-39=41",
"81+15=96",
"96-41=55"
] | Current State: 55:[39, 80, 81, 15], Operations: []
Exploring Operation: 80-39=41, Resulting Numbers: [81, 15, 41]
Generated Node #2: [81, 15, 41] from Operation: 80-39=41
Current State: 55:[81, 15, 41], Operations: ['80-39=41']
Exploring Operation: 81+15=96, Resulting Numbers: [41, 96]
Generated Node #3: [41, 96] from Operation: 81+15=96
Current State: 55:[41, 96], Operations: ['80-39=41', '81+15=96']
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[39, 80, 81, 15], Operations: []
Exploring Operation: 81-80=1, Resulting Numbers: [39, 15, 1]
Generated Node #0,0: 55:[39, 15, 1] Operation: 81-80=1
Exploring Operation: 81-39=42, Resulting Numbers: [80, 15, 42]
Generated Node #0,1: 55:[80, 15, 42] Operation: 81-39=42
Exploring Operation: 80-39=41, Resulting Numbers: [81, 15, 41]
Generated Node #0,2: 55:[81, 15, 41] Operation: 80-39=41
Moving to Node #0,0
Current State: 55:[39, 15, 1], Operations: ['81-80=1']
Exploring Operation: 39+1=40, Resulting Numbers: [15, 40]
Generated Node #0,0,0: 55:[15, 40] Operation: 39+1=40
Exploring Operation: 39-15=24, Resulting Numbers: [1, 24]
Generated Node #0,0,1: 55:[1, 24] Operation: 39-15=24
Exploring Operation: 39+15=54, Resulting Numbers: [1, 54]
Generated Node #0,0,2: 55:[1, 54] Operation: 39+15=54
Moving to Node #0,1
Current State: 55:[80, 15, 42], Operations: ['81-39=42']
Exploring Operation: 80-42=38, Resulting Numbers: [15, 38]
Generated Node #0,1,0: 55:[15, 38] Operation: 80-42=38
Exploring Operation: 15+42=57, Resulting Numbers: [80, 57]
Generated Node #0,1,1: 55:[80, 57] Operation: 15+42=57
Exploring Operation: 80-15=65, Resulting Numbers: [42, 65]
Generated Node #0,1,2: 55:[42, 65] Operation: 80-15=65
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 55:[15, 38], Operations: ['81-39=42', '80-42=38']
Exploring Operation: 15*38=570, Resulting Numbers: [570]
570,55 unequal: No Solution
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 15+38=53, Resulting Numbers: [53]
53,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 55:[42, 65], Operations: ['81-39=42', '80-15=65']
Exploring Operation: 42+65=107, Resulting Numbers: [107]
107,55 unequal: No Solution
Exploring Operation: 65-42=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 42*65=2730, Resulting Numbers: [2730]
2730,55 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 55:[80, 57], Operations: ['81-39=42', '15+42=57']
Exploring Operation: 80+57=137, Resulting Numbers: [137]
137,55 unequal: No Solution
Exploring Operation: 80-57=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 80*57=4560, Resulting Numbers: [4560]
4560,55 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: 55:[81, 15, 41], Operations: ['80-39=41']
Exploring Operation: 81-15=66, Resulting Numbers: [41, 66]
Generated Node #0,2,0: 55:[41, 66] Operation: 81-15=66
Exploring Operation: 15+41=56, Resulting Numbers: [81, 56]
Generated Node #0,2,1: 55:[81, 56] Operation: 15+41=56
Exploring Operation: 81-41=40, Resulting Numbers: [15, 40]
Generated Node #0,2,2: 55:[15, 40] Operation: 81-41=40
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 55:[15, 40], Operations: ['80-39=41', '81-41=40']
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,55 unequal: No Solution
Exploring Operation: 15*40=600, Resulting Numbers: [600]
600,55 unequal: No Solution
Exploring Operation: 15+40=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[39, 80, 81, 15], Operations: []
Exploring Operation: 80-39=41, Resulting Numbers: [81, 15, 41]
Generated Node #0,2: 55:[81, 15, 41] Operation: 80-39=41
Moving to Node #0,2
Current State: 55:[81, 15, 41], Operations: ['80-39=41']
Exploring Operation: 81-41=40, Resulting Numbers: [15, 40]
Generated Node #0,2,2: 55:[15, 40] Operation: 81-41=40
Moving to Node #0,2,2
Current State: 55:[15, 40], Operations: ['80-39=41', '81-41=40']
Exploring Operation: 15+40=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.975694 | hs_3 | mult_heuristic |
[
14,
32,
61,
67
] | 56 | [
"61+67=128",
"14*128=1792",
"1792/32=56"
] | Current State: 56:[14, 32, 61, 67], Operations: []
Exploring Operation: 61+67=128, Resulting Numbers: [14, 32, 128]
Generated Node #2: [14, 32, 128] from Operation: 61+67=128
Current State: 56:[14, 32, 128], Operations: ['61+67=128']
Exploring Operation: 14*128=1792, Resulting Numbers: [32, 1792]
Generated Node #3: [32, 1792] from Operation: 14*128=1792
Current State: 56:[32, 1792], Operations: ['61+67=128', '14*128=1792']
Exploring Operation: 1792/32=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[14, 32, 61, 67], Operations: []
Exploring Operation: 67-61=6, Resulting Numbers: [14, 32, 6]
Generated Node #0,0: 56:[14, 32, 6] Operation: 67-61=6
Exploring Operation: 61-32=29, Resulting Numbers: [14, 67, 29]
Generated Node #0,1: 56:[14, 67, 29] Operation: 61-32=29
Exploring Operation: 67-14=53, Resulting Numbers: [32, 61, 53]
Generated Node #0,2: 56:[32, 61, 53] Operation: 67-14=53
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[14, 32, 6], Operations: ['67-61=6']
Exploring Operation: 32-6=26, Resulting Numbers: [14, 26]
Generated Node #0,0,0: 56:[14, 26] Operation: 32-6=26
Exploring Operation: 14-6=8, Resulting Numbers: [32, 8]
Generated Node #0,0,1: 56:[32, 8] Operation: 14-6=8
Exploring Operation: 32-14=18, Resulting Numbers: [6, 18]
Generated Node #0,0,2: 56:[6, 18] Operation: 32-14=18
Moving to Node #0,0,0
Current State: 56:[14, 26], Operations: ['67-61=6', '32-6=26']
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,56 unequal: No Solution
Exploring Operation: 14*26=364, Resulting Numbers: [364]
364,56 unequal: No Solution
Exploring Operation: 14+26=40, Resulting Numbers: [40]
40,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[32, 8], Operations: ['67-61=6', '14-6=8']
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,56 unequal: No Solution
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 32+8=40, Resulting Numbers: [40]
40,56 unequal: No Solution
Moving to Node #0,0,2
Current State: 56:[6, 18], Operations: ['67-61=6', '32-14=18']
Exploring Operation: 18/6=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Exploring Operation: 18-6=12, Resulting Numbers: [12]
12,56 unequal: No Solution
Exploring Operation: 6+18=24, Resulting Numbers: [24]
24,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[14, 67, 29], Operations: ['61-32=29']
Exploring Operation: 67-14=53, Resulting Numbers: [29, 53]
Generated Node #0,1,0: 56:[29, 53] Operation: 67-14=53
Exploring Operation: 67-29=38, Resulting Numbers: [14, 38]
Generated Node #0,1,1: 56:[14, 38] Operation: 67-29=38
Exploring Operation: 29-14=15, Resulting Numbers: [67, 15]
Generated Node #0,1,2: 56:[67, 15] Operation: 29-14=15
Moving to Node #0,1,0
Current State: 56:[29, 53], Operations: ['61-32=29', '67-14=53']
Exploring Operation: 29+53=82, Resulting Numbers: [82]
82,56 unequal: No Solution
Exploring Operation: 29*53=1537, Resulting Numbers: [1537]
1537,56 unequal: No Solution
Exploring Operation: 53-29=24, Resulting Numbers: [24]
24,56 unequal: No Solution
Moving to Node #0,1,1
Current State: 56:[14, 38], Operations: ['61-32=29', '67-29=38']
Exploring Operation: 14*38=532, Resulting Numbers: [532]
532,56 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,56 unequal: No Solution
Exploring Operation: 14+38=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Moving to Node #0,1,2
Current State: 56:[67, 15], Operations: ['61-32=29', '29-14=15']
Exploring Operation: 67-15=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 67+15=82, Resulting Numbers: [82]
82,56 unequal: No Solution
Exploring Operation: 67*15=1005, Resulting Numbers: [1005]
1005,56 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 #0,2
Current State: 56:[32, 61, 53], Operations: ['67-14=53']
Exploring Operation: 61-32=29, Resulting Numbers: [53, 29]
Generated Node #0,2,0: 56:[53, 29] Operation: 61-32=29
Exploring Operation: 61-53=8, Resulting Numbers: [32, 8]
Generated Node #0,2,1: 56:[32, 8] Operation: 61-53=8
Exploring Operation: 53-32=21, Resulting Numbers: [61, 21]
Generated Node #0,2,2: 56:[61, 21] Operation: 53-32=21
Moving to Node #0,2,0
Current State: 56:[53, 29], Operations: ['67-14=53', '61-32=29']
Exploring Operation: 53*29=1537, Resulting Numbers: [1537]
1537,56 unequal: No Solution
Exploring Operation: 53+29=82, Resulting Numbers: [82]
82,56 unequal: No Solution
Exploring Operation: 53-29=24, Resulting Numbers: [24]
24,56 unequal: No Solution
Moving to Node #0,2,1
Current State: 56:[32, 8], Operations: ['67-14=53', '61-53=8']
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,56 unequal: No Solution
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,56 unequal: No Solution
Exploring Operation: 32+8=40, Resulting Numbers: [40]
40,56 unequal: No Solution
Moving to Node #0,2,2
Current State: 56:[61, 21], Operations: ['67-14=53', '53-32=21']
Exploring Operation: 61+21=82, Resulting Numbers: [82]
82,56 unequal: No Solution
Exploring Operation: 61-21=40, Resulting Numbers: [40]
40,56 unequal: No Solution
Exploring Operation: 61*21=1281, Resulting Numbers: [1281]
1281,56 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 |
[
90,
13,
66,
21
] | 26 | [
"90*13=1170",
"66-21=45",
"1170/45=26"
] | Current State: 26:[90, 13, 66, 21], Operations: []
Exploring Operation: 90*13=1170, Resulting Numbers: [66, 21, 1170]
Generated Node #2: [66, 21, 1170] from Operation: 90*13=1170
Current State: 26:[66, 21, 1170], Operations: ['90*13=1170']
Exploring Operation: 66-21=45, Resulting Numbers: [1170, 45]
Generated Node #3: [1170, 45] from Operation: 66-21=45
Current State: 26:[1170, 45], Operations: ['90*13=1170', '66-21=45']
Exploring Operation: 1170/45=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[90, 13, 66, 21], Operations: []
Exploring Operation: 90-13=77, Resulting Numbers: [66, 21, 77]
Generated Node #0,0: 26:[66, 21, 77] Operation: 90-13=77
Exploring Operation: 66-21=45, Resulting Numbers: [90, 13, 45]
Generated Node #0,1: 26:[90, 13, 45] Operation: 66-21=45
Exploring Operation: 90-21=69, Resulting Numbers: [13, 66, 69]
Generated Node #0,2: 26:[13, 66, 69] Operation: 90-21=69
Exploring Operation: 90-66=24, Resulting Numbers: [13, 21, 24]
Generated Node #0,3: 26:[13, 21, 24] Operation: 90-66=24
Start Sub Search at level 1: Moving to Node #0,3
Current State: 26:[13, 21, 24], Operations: ['90-66=24']
Exploring Operation: 24-13=11, Resulting Numbers: [21, 11]
Generated Node #0,3,0: 26:[21, 11] Operation: 24-13=11
Exploring Operation: 24-21=3, Resulting Numbers: [13, 3]
Generated Node #0,3,1: 26:[13, 3] Operation: 24-21=3
Exploring Operation: 13+21=34, Resulting Numbers: [24, 34]
Generated Node #0,3,2: 26:[24, 34] Operation: 13+21=34
Exploring Operation: 21-13=8, Resulting Numbers: [24, 8]
Generated Node #0,3,3: 26:[24, 8] Operation: 21-13=8
Moving to Node #0,3,1
Current State: 26:[13, 3], Operations: ['90-66=24', '24-21=3']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,26 unequal: No Solution
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,26 unequal: No Solution
Moving to Node #0,3,3
Current State: 26:[24, 8], Operations: ['90-66=24', '21-13=8']
Exploring Operation: 24+8=32, Resulting Numbers: [32]
32,26 unequal: No Solution
Exploring Operation: 24*8=192, Resulting Numbers: [192]
192,26 unequal: No Solution
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,26 unequal: No Solution
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,26 unequal: No Solution
Moving to Node #0,3,0
Current State: 26:[21, 11], Operations: ['90-66=24', '24-13=11']
Exploring Operation: 21+11=32, Resulting Numbers: [32]
32,26 unequal: No Solution
Exploring Operation: 21-11=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Exploring Operation: 21*11=231, Resulting Numbers: [231]
231,26 unequal: No Solution
Moving to Node #0,3,2
Current State: 26:[24, 34], Operations: ['90-66=24', '13+21=34']
Exploring Operation: 24+34=58, Resulting Numbers: [58]
58,26 unequal: No Solution
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,26 unequal: No Solution
Exploring Operation: 24*34=816, Resulting Numbers: [816]
816,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 26:[90, 13, 45], Operations: ['66-21=45']
Exploring Operation: 90-45=45, Resulting Numbers: [13, 45]
Generated Node #0,1,0: 26:[13, 45] Operation: 90-45=45
Exploring Operation: 90-13=77, Resulting Numbers: [45, 77]
Generated Node #0,1,1: 26:[45, 77] Operation: 90-13=77
Exploring Operation: 90/45=2, Resulting Numbers: [13, 2]
Generated Node #0,1,2: 26:[13, 2] Operation: 90/45=2
Exploring Operation: 45-13=32, Resulting Numbers: [90, 32]
Generated Node #0,1,3: 26:[90, 32] Operation: 45-13=32
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 26:[13, 2], Operations: ['66-21=45', '90/45=2']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,26 unequal: No Solution
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,26 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[90, 13, 66, 21], Operations: []
Exploring Operation: 66-21=45, Resulting Numbers: [90, 13, 45]
Generated Node #0,1: 26:[90, 13, 45] Operation: 66-21=45
Moving to Node #0,1
Current State: 26:[90, 13, 45], Operations: ['66-21=45']
Exploring Operation: 90/45=2, Resulting Numbers: [13, 2]
Generated Node #0,1,2: 26:[13, 2] Operation: 90/45=2
Moving to Node #0,1,2
Current State: 26:[13, 2], Operations: ['66-21=45', '90/45=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.972222 | hs_4 | mult_heuristic |
[
93,
29,
44,
21
] | 87 | [
"93-29=64",
"44-21=23",
"64+23=87"
] | Current State: 87:[93, 29, 44, 21], Operations: []
Exploring Operation: 93-29=64, Resulting Numbers: [44, 21, 64]
Generated Node #2: [44, 21, 64] from Operation: 93-29=64
Current State: 87:[44, 21, 64], Operations: ['93-29=64']
Exploring Operation: 44-21=23, Resulting Numbers: [64, 23]
Generated Node #3: [64, 23] from Operation: 44-21=23
Current State: 87:[64, 23], Operations: ['93-29=64', '44-21=23']
Exploring Operation: 64+23=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[93, 29, 44, 21], Operations: []
Exploring Operation: 93-44=49, Resulting Numbers: [29, 21, 49]
Generated Node #0,0: 87:[29, 21, 49] Operation: 93-44=49
Exploring Operation: 44-29=15, Resulting Numbers: [93, 21, 15]
Generated Node #0,1: 87:[93, 21, 15] Operation: 44-29=15
Exploring Operation: 44-21=23, Resulting Numbers: [93, 29, 23]
Generated Node #0,2: 87:[93, 29, 23] Operation: 44-21=23
Exploring Operation: 29-21=8, Resulting Numbers: [93, 44, 8]
Generated Node #0,3: 87:[93, 44, 8] Operation: 29-21=8
Moving to Node #0,2
Current State: 87:[93, 29, 23], Operations: ['44-21=23']
Exploring Operation: 93-23=70, Resulting Numbers: [29, 70]
Generated Node #0,2,0: 87:[29, 70] Operation: 93-23=70
Exploring Operation: 93+23=116, Resulting Numbers: [29, 116]
Generated Node #0,2,1: 87:[29, 116] Operation: 93+23=116
Exploring Operation: 93-29=64, Resulting Numbers: [23, 64]
Generated Node #0,2,2: 87:[23, 64] Operation: 93-29=64
Exploring Operation: 29-23=6, Resulting Numbers: [93, 6]
Generated Node #0,2,3: 87:[93, 6] Operation: 29-23=6
Moving to Node #0,3
Current State: 87:[93, 44, 8], Operations: ['29-21=8']
Exploring Operation: 93-44=49, Resulting Numbers: [8, 49]
Generated Node #0,3,0: 87:[8, 49] Operation: 93-44=49
Exploring Operation: 93+8=101, Resulting Numbers: [44, 101]
Generated Node #0,3,1: 87:[44, 101] Operation: 93+8=101
Exploring Operation: 93-8=85, Resulting Numbers: [44, 85]
Generated Node #0,3,2: 87:[44, 85] Operation: 93-8=85
Exploring Operation: 44-8=36, Resulting Numbers: [93, 36]
Generated Node #0,3,3: 87:[93, 36] Operation: 44-8=36
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 87:[93, 36], Operations: ['29-21=8', '44-8=36']
Exploring Operation: 93-36=57, Resulting Numbers: [57]
57,87 unequal: No Solution
Exploring Operation: 93+36=129, Resulting Numbers: [129]
129,87 unequal: No Solution
Exploring Operation: 93*36=3348, Resulting Numbers: [3348]
3348,87 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 #0,3,2
Current State: 87:[44, 85], Operations: ['29-21=8', '93-8=85']
Exploring Operation: 44+85=129, Resulting Numbers: [129]
129,87 unequal: No Solution
Exploring Operation: 44*85=3740, Resulting Numbers: [3740]
3740,87 unequal: No Solution
Exploring Operation: 85-44=41, Resulting Numbers: [41]
41,87 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 #0,3,0
Current State: 87:[8, 49], Operations: ['29-21=8', '93-44=49']
Exploring Operation: 8*49=392, Resulting Numbers: [392]
392,87 unequal: No Solution
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,87 unequal: No Solution
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,87 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 #0,3,1
Current State: 87:[44, 101], Operations: ['29-21=8', '93+8=101']
Exploring Operation: 101-44=57, Resulting Numbers: [57]
57,87 unequal: No Solution
Exploring Operation: 44*101=4444, Resulting Numbers: [4444]
4444,87 unequal: No Solution
Exploring Operation: 44+101=145, Resulting Numbers: [145]
145,87 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: 87:[93, 21, 15], Operations: ['44-29=15']
Exploring Operation: 93-21=72, Resulting Numbers: [15, 72]
Generated Node #0,1,0: 87:[15, 72] Operation: 93-21=72
Exploring Operation: 21-15=6, Resulting Numbers: [93, 6]
Generated Node #0,1,1: 87:[93, 6] Operation: 21-15=6
Exploring Operation: 93-15=78, Resulting Numbers: [21, 78]
Generated Node #0,1,2: 87:[21, 78] Operation: 93-15=78
Exploring Operation: 21+15=36, Resulting Numbers: [93, 36]
Generated Node #0,1,3: 87:[93, 36] Operation: 21+15=36
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 87:[93, 6], Operations: ['44-29=15', '21-15=6']
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[93, 29, 44, 21], Operations: []
Exploring Operation: 44-29=15, Resulting Numbers: [93, 21, 15]
Generated Node #0,1: 87:[93, 21, 15] Operation: 44-29=15
Moving to Node #0,1
Current State: 87:[93, 21, 15], Operations: ['44-29=15']
Exploring Operation: 21-15=6, Resulting Numbers: [93, 6]
Generated Node #0,1,1: 87:[93, 6] Operation: 21-15=6
Moving to Node #0,1,1
Current State: 87:[93, 6], Operations: ['44-29=15', '21-15=6']
Exploring Operation: 93-6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.971354 | hs_4 | mult_heuristic |
[
29,
25,
45,
82
] | 17 | [
"29+25=54",
"82-45=37",
"54-37=17"
] | Current State: 17:[29, 25, 45, 82], Operations: []
Exploring Operation: 29+25=54, Resulting Numbers: [45, 82, 54]
Generated Node #2: [45, 82, 54] from Operation: 29+25=54
Current State: 17:[45, 82, 54], Operations: ['29+25=54']
Exploring Operation: 82-45=37, Resulting Numbers: [54, 37]
Generated Node #3: [54, 37] from Operation: 82-45=37
Current State: 17:[54, 37], Operations: ['29+25=54', '82-45=37']
Exploring Operation: 54-37=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[29, 25, 45, 82], Operations: []
Exploring Operation: 82-45=37, Resulting Numbers: [29, 25, 37]
Generated Node #0,0: 17:[29, 25, 37] Operation: 82-45=37
Moving to Node #0,0
Current State: 17:[29, 25, 37], Operations: ['82-45=37']
Exploring Operation: 37-29=8, Resulting Numbers: [25, 8]
Generated Node #0,0,0: 17:[25, 8] Operation: 37-29=8
Moving to Node #0,0,0
Current State: 17:[25, 8], Operations: ['82-45=37', '37-29=8']
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[29, 25, 45, 82], Operations: []
Exploring Operation: 82-45=37, Resulting Numbers: [29, 25, 37]
Generated Node #0,0: 17:[29, 25, 37] Operation: 82-45=37
Moving to Node #0,0
Current State: 17:[29, 25, 37], Operations: ['82-45=37']
Exploring Operation: 37-29=8, Resulting Numbers: [25, 8]
Generated Node #0,0,0: 17:[25, 8] Operation: 37-29=8
Moving to Node #0,0,0
Current State: 17:[25, 8], Operations: ['82-45=37', '37-29=8']
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
67,
3,
20,
36
] | 59 | [
"67-20=47",
"36/3=12",
"47+12=59"
] | Current State: 59:[67, 3, 20, 36], Operations: []
Exploring Operation: 67-20=47, Resulting Numbers: [3, 36, 47]
Generated Node #2: [3, 36, 47] from Operation: 67-20=47
Current State: 59:[3, 36, 47], Operations: ['67-20=47']
Exploring Operation: 36/3=12, Resulting Numbers: [47, 12]
Generated Node #3: [47, 12] from Operation: 36/3=12
Current State: 59:[47, 12], Operations: ['67-20=47', '36/3=12']
Exploring Operation: 47+12=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[67, 3, 20, 36], Operations: []
Exploring Operation: 67-3=64, Resulting Numbers: [20, 36, 64]
Generated Node #0,0: 59:[20, 36, 64] Operation: 67-3=64
Exploring Operation: 3*20=60, Resulting Numbers: [67, 36, 60]
Generated Node #0,1: 59:[67, 36, 60] Operation: 3*20=60
Moving to Node #0,1
Current State: 59:[67, 36, 60], Operations: ['3*20=60']
Exploring Operation: 60-36=24, Resulting Numbers: [67, 24]
Generated Node #0,1,0: 59:[67, 24] Operation: 60-36=24
Exploring Operation: 67-36=31, Resulting Numbers: [60, 31]
Generated Node #0,1,1: 59:[60, 31] Operation: 67-36=31
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 59:[60, 31], Operations: ['3*20=60', '67-36=31']
Exploring Operation: 60+31=91, Resulting Numbers: [91]
91,59 unequal: No Solution
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,59 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:[67, 24], Operations: ['3*20=60', '60-36=24']
Exploring Operation: 67+24=91, Resulting Numbers: [91]
91,59 unequal: No Solution
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,59 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: 59:[20, 36, 64], Operations: ['67-3=64']
Exploring Operation: 20+36=56, Resulting Numbers: [64, 56]
Generated Node #0,0,0: 59:[64, 56] Operation: 20+36=56
Exploring Operation: 64-20=44, Resulting Numbers: [36, 44]
Generated Node #0,0,1: 59:[36, 44] Operation: 64-20=44
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[64, 56], Operations: ['67-3=64', '20+36=56']
Exploring Operation: 64+56=120, Resulting Numbers: [120]
120,59 unequal: No Solution
Exploring Operation: 64-56=8, Resulting Numbers: [8]
8,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 59:[36, 44], Operations: ['67-3=64', '64-20=44']
Exploring Operation: 36+44=80, Resulting Numbers: [80]
80,59 unequal: No Solution
Exploring Operation: 44-36=8, Resulting Numbers: [8]
8,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
7,
5,
10,
15
] | 73 | [
"7*10=70",
"15/5=3",
"70+3=73"
] | Current State: 73:[7, 5, 10, 15], Operations: []
Exploring Operation: 7*10=70, Resulting Numbers: [5, 15, 70]
Generated Node #2: [5, 15, 70] from Operation: 7*10=70
Current State: 73:[5, 15, 70], Operations: ['7*10=70']
Exploring Operation: 15/5=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 15/5=3
Current State: 73:[70, 3], Operations: ['7*10=70', '15/5=3']
Exploring Operation: 70+3=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[7, 5, 10, 15], Operations: []
Exploring Operation: 7*10=70, Resulting Numbers: [5, 15, 70]
Generated Node #0,0: 73:[5, 15, 70] Operation: 7*10=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[5, 15, 70], Operations: ['7*10=70']
Exploring Operation: 5*15=75, Resulting Numbers: [70, 75]
Generated Node #0,0,0: 73:[70, 75] Operation: 5*15=75
Moving to Node #0,0,0
Current State: 73:[70, 75], Operations: ['7*10=70', '5*15=75']
Exploring Operation: 75-70=5, Resulting Numbers: [5]
5,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
3,
24,
97,
89
] | 35 | [
"3+24=27",
"97-89=8",
"27+8=35"
] | Current State: 35:[3, 24, 97, 89], Operations: []
Exploring Operation: 3+24=27, Resulting Numbers: [97, 89, 27]
Generated Node #2: [97, 89, 27] from Operation: 3+24=27
Current State: 35:[97, 89, 27], Operations: ['3+24=27']
Exploring Operation: 97-89=8, Resulting Numbers: [27, 8]
Generated Node #3: [27, 8] from Operation: 97-89=8
Current State: 35:[27, 8], Operations: ['3+24=27', '97-89=8']
Exploring Operation: 27+8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[3, 24, 97, 89], Operations: []
Exploring Operation: 89-24=65, Resulting Numbers: [3, 97, 65]
Generated Node #0,0: 35:[3, 97, 65] Operation: 89-24=65
Exploring Operation: 24/3=8, Resulting Numbers: [97, 89, 8]
Generated Node #0,1: 35:[97, 89, 8] Operation: 24/3=8
Exploring Operation: 97-89=8, Resulting Numbers: [3, 24, 8]
Generated Node #0,2: 35:[3, 24, 8] Operation: 97-89=8
Exploring Operation: 97-24=73, Resulting Numbers: [3, 89, 73]
Generated Node #0,3: 35:[3, 89, 73] Operation: 97-24=73
Start Sub Search at level 1: Moving to Node #0,2
Current State: 35:[3, 24, 8], Operations: ['97-89=8']
Exploring Operation: 3+24=27, Resulting Numbers: [8, 27]
Generated Node #0,2,0: 35:[8, 27] Operation: 3+24=27
Exploring Operation: 24/8=3, Resulting Numbers: [3, 3]
Generated Node #0,2,1: 35:[3, 3] Operation: 24/8=3
Exploring Operation: 24/3=8, Resulting Numbers: [8, 8]
Generated Node #0,2,2: 35:[8, 8] Operation: 24/3=8
Exploring Operation: 24+8=32, Resulting Numbers: [3, 32]
Generated Node #0,2,3: 35:[3, 32] Operation: 24+8=32
Moving to Node #0,2,2
Current State: 35:[8, 8], Operations: ['97-89=8', '24/3=8']
Exploring Operation: 8/8=1, Resulting Numbers: [1]
1,35 unequal: No Solution
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,35 unequal: No Solution
Exploring Operation: 8+8=16, Resulting Numbers: [16]
16,35 unequal: No Solution
Exploring Operation: 8-8=0, Resulting Numbers: [0]
0,35 unequal: No Solution
Moving to Node #0,2,1
Current State: 35:[3, 3], Operations: ['97-89=8', '24/8=3']
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,35 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 3*3=9, Resulting Numbers: [9]
9,35 unequal: No Solution
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,35 unequal: No Solution
Moving to Node #0,2,3
Current State: 35:[3, 32], Operations: ['97-89=8', '24+8=32']
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[3, 24, 97, 89], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [3, 24, 8]
Generated Node #0,2: 35:[3, 24, 8] Operation: 97-89=8
Moving to Node #0,2
Current State: 35:[3, 24, 8], Operations: ['97-89=8']
Exploring Operation: 24+8=32, Resulting Numbers: [3, 32]
Generated Node #0,2,3: 35:[3, 32] Operation: 24+8=32
Moving to Node #0,2,3
Current State: 35:[3, 32], Operations: ['97-89=8', '24+8=32']
Exploring Operation: 3+32=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
11,
49,
5,
64
] | 58 | [
"11*5=55",
"49+64=113",
"113-55=58"
] | Current State: 58:[11, 49, 5, 64], Operations: []
Exploring Operation: 11*5=55, Resulting Numbers: [49, 64, 55]
Generated Node #2: [49, 64, 55] from Operation: 11*5=55
Current State: 58:[49, 64, 55], Operations: ['11*5=55']
Exploring Operation: 49+64=113, Resulting Numbers: [55, 113]
Generated Node #3: [55, 113] from Operation: 49+64=113
Current State: 58:[55, 113], Operations: ['11*5=55', '49+64=113']
Exploring Operation: 113-55=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[11, 49, 5, 64], Operations: []
Exploring Operation: 11+49=60, Resulting Numbers: [5, 64, 60]
Generated Node #0,0: 58:[5, 64, 60] Operation: 11+49=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[5, 64, 60], Operations: ['11+49=60']
Exploring Operation: 64-5=59, Resulting Numbers: [60, 59]
Generated Node #0,0,0: 58:[60, 59] Operation: 64-5=59
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 58:[60, 59], Operations: ['11+49=60', '64-5=59']
Exploring Operation: 60-59=1, Resulting Numbers: [1]
1,58 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
11,
8,
59,
99
] | 43 | [
"11-8=3",
"99-59=40",
"3+40=43"
] | Current State: 43:[11, 8, 59, 99], Operations: []
Exploring Operation: 11-8=3, Resulting Numbers: [59, 99, 3]
Generated Node #2: [59, 99, 3] from Operation: 11-8=3
Current State: 43:[59, 99, 3], Operations: ['11-8=3']
Exploring Operation: 99-59=40, Resulting Numbers: [3, 40]
Generated Node #3: [3, 40] from Operation: 99-59=40
Current State: 43:[3, 40], Operations: ['11-8=3', '99-59=40']
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[11, 8, 59, 99], Operations: []
Exploring Operation: 59-11=48, Resulting Numbers: [8, 99, 48]
Generated Node #0,0: 43:[8, 99, 48] Operation: 59-11=48
Exploring Operation: 99-59=40, Resulting Numbers: [11, 8, 40]
Generated Node #0,1: 43:[11, 8, 40] Operation: 99-59=40
Exploring Operation: 99-11=88, Resulting Numbers: [8, 59, 88]
Generated Node #0,2: 43:[8, 59, 88] Operation: 99-11=88
Exploring Operation: 99/11=9, Resulting Numbers: [8, 59, 9]
Generated Node #0,3: 43:[8, 59, 9] Operation: 99/11=9
Exploring Operation: 11+8=19, Resulting Numbers: [59, 99, 19]
Generated Node #0,4: 43:[59, 99, 19] Operation: 11+8=19
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[11, 8, 40], Operations: ['99-59=40']
Exploring Operation: 11+40=51, Resulting Numbers: [8, 51]
Generated Node #0,1,0: 43:[8, 51] Operation: 11+40=51
Exploring Operation: 8+40=48, Resulting Numbers: [11, 48]
Generated Node #0,1,1: 43:[11, 48] Operation: 8+40=48
Exploring Operation: 11-8=3, Resulting Numbers: [40, 3]
Generated Node #0,1,2: 43:[40, 3] Operation: 11-8=3
Exploring Operation: 40-8=32, Resulting Numbers: [11, 32]
Generated Node #0,1,3: 43:[11, 32] Operation: 40-8=32
Exploring Operation: 11+8=19, Resulting Numbers: [40, 19]
Generated Node #0,1,4: 43:[40, 19] Operation: 11+8=19
Moving to Node #0,1,4
Current State: 43:[40, 19], Operations: ['99-59=40', '11+8=19']
Exploring Operation: 40*19=760, Resulting Numbers: [760]
760,43 unequal: No Solution
Exploring Operation: 40+19=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[11, 48], Operations: ['99-59=40', '8+40=48']
Exploring Operation: 11*48=528, Resulting Numbers: [528]
528,43 unequal: No Solution
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,43 unequal: No Solution
Exploring Operation: 11+48=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[8, 51], Operations: ['99-59=40', '11+40=51']
Exploring Operation: 8+51=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Exploring Operation: 8*51=408, Resulting Numbers: [408]
408,43 unequal: No Solution
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[11, 8, 59, 99], Operations: []
Exploring Operation: 99-59=40, Resulting Numbers: [11, 8, 40]
Generated Node #0,1: 43:[11, 8, 40] Operation: 99-59=40
Moving to Node #0,1
Current State: 43:[11, 8, 40], Operations: ['99-59=40']
Exploring Operation: 11+40=51, Resulting Numbers: [8, 51]
Generated Node #0,1,0: 43:[8, 51] Operation: 11+40=51
Moving to Node #0,1,0
Current State: 43:[8, 51], Operations: ['99-59=40', '11+40=51']
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | sum_heuristic |
[
18,
92,
35,
25
] | 64 | [
"92-18=74",
"35-25=10",
"74-10=64"
] | Current State: 64:[18, 92, 35, 25], Operations: []
Exploring Operation: 92-18=74, Resulting Numbers: [35, 25, 74]
Generated Node #2: [35, 25, 74] from Operation: 92-18=74
Current State: 64:[35, 25, 74], Operations: ['92-18=74']
Exploring Operation: 35-25=10, Resulting Numbers: [74, 10]
Generated Node #3: [74, 10] from Operation: 35-25=10
Current State: 64:[74, 10], Operations: ['92-18=74', '35-25=10']
Exploring Operation: 74-10=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[18, 92, 35, 25], Operations: []
Exploring Operation: 35-25=10, Resulting Numbers: [18, 92, 10]
Generated Node #0,0: 64:[18, 92, 10] Operation: 35-25=10
Exploring Operation: 92-35=57, Resulting Numbers: [18, 25, 57]
Generated Node #0,1: 64:[18, 25, 57] Operation: 92-35=57
Exploring Operation: 92-18=74, Resulting Numbers: [35, 25, 74]
Generated Node #0,2: 64:[35, 25, 74] Operation: 92-18=74
Exploring Operation: 92-25=67, Resulting Numbers: [18, 35, 67]
Generated Node #0,3: 64:[18, 35, 67] Operation: 92-25=67
Exploring Operation: 25-18=7, Resulting Numbers: [92, 35, 7]
Generated Node #0,4: 64:[92, 35, 7] Operation: 25-18=7
Start Sub Search at level 1: Moving to Node #0,3
Current State: 64:[18, 35, 67], Operations: ['92-25=67']
Exploring Operation: 35-18=17, Resulting Numbers: [67, 17]
Generated Node #0,3,0: 64:[67, 17] Operation: 35-18=17
Exploring Operation: 18+67=85, Resulting Numbers: [35, 85]
Generated Node #0,3,1: 64:[35, 85] Operation: 18+67=85
Exploring Operation: 67-35=32, Resulting Numbers: [18, 32]
Generated Node #0,3,2: 64:[18, 32] Operation: 67-35=32
Exploring Operation: 67-18=49, Resulting Numbers: [35, 49]
Generated Node #0,3,3: 64:[35, 49] Operation: 67-18=49
Exploring Operation: 18+35=53, Resulting Numbers: [67, 53]
Generated Node #0,3,4: 64:[67, 53] Operation: 18+35=53
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 64:[18, 32], Operations: ['92-25=67', '67-35=32']
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 18*32=576, Resulting Numbers: [576]
576,64 unequal: No Solution
Exploring Operation: 18+32=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:[67, 17], Operations: ['92-25=67', '35-18=17']
Exploring Operation: 67-17=50, Resulting Numbers: [50]
50,64 unequal: No Solution
Exploring Operation: 67+17=84, Resulting Numbers: [84]
84,64 unequal: No Solution
Exploring Operation: 67*17=1139, Resulting Numbers: [1139]
1139,64 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:[67, 53], Operations: ['92-25=67', '18+35=53']
Exploring Operation: 67-53=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 67*53=3551, Resulting Numbers: [3551]
3551,64 unequal: No Solution
Exploring Operation: 67+53=120, Resulting Numbers: [120]
120,64 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 #0,3,3
Current State: 64:[35, 49], Operations: ['92-25=67', '67-18=49']
Exploring Operation: 35+49=84, Resulting Numbers: [84]
84,64 unequal: No Solution
Exploring Operation: 35*49=1715, Resulting Numbers: [1715]
1715,64 unequal: No Solution
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,64 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:[35, 85], Operations: ['92-25=67', '18+67=85']
Exploring Operation: 35+85=120, Resulting Numbers: [120]
120,64 unequal: No Solution
Exploring Operation: 85-35=50, Resulting Numbers: [50]
50,64 unequal: No Solution
Exploring Operation: 35*85=2975, Resulting Numbers: [2975]
2975,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[18, 25, 57], Operations: ['92-35=57']
Exploring Operation: 57-18=39, Resulting Numbers: [25, 39]
Generated Node #0,1,0: 64:[25, 39] Operation: 57-18=39
Exploring Operation: 57-25=32, Resulting Numbers: [18, 32]
Generated Node #0,1,1: 64:[18, 32] Operation: 57-25=32
Exploring Operation: 18+57=75, Resulting Numbers: [25, 75]
Generated Node #0,1,2: 64:[25, 75] Operation: 18+57=75
Exploring Operation: 18+25=43, Resulting Numbers: [57, 43]
Generated Node #0,1,3: 64:[57, 43] Operation: 18+25=43
Exploring Operation: 25-18=7, Resulting Numbers: [57, 7]
Generated Node #0,1,4: 64:[57, 7] Operation: 25-18=7
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 64:[18, 32], Operations: ['92-35=57', '57-25=32']
Exploring Operation: 32-18=14, Resulting Numbers: [14]
14,64 unequal: No Solution
Exploring Operation: 18*32=576, Resulting Numbers: [576]
576,64 unequal: No Solution
Exploring Operation: 18+32=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 #0,1,4
Current State: 64:[57, 7], Operations: ['92-35=57', '25-18=7']
Exploring Operation: 57+7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[18, 92, 35, 25], Operations: []
Exploring Operation: 92-35=57, Resulting Numbers: [18, 25, 57]
Generated Node #0,1: 64:[18, 25, 57] Operation: 92-35=57
Moving to Node #0,1
Current State: 64:[18, 25, 57], Operations: ['92-35=57']
Exploring Operation: 25-18=7, Resulting Numbers: [57, 7]
Generated Node #0,1,4: 64:[57, 7] Operation: 25-18=7
Moving to Node #0,1,4
Current State: 64:[57, 7], Operations: ['92-35=57', '25-18=7']
Exploring Operation: 57+7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967014 | hs_5 | sum_heuristic |
[
8,
33,
46,
77
] | 98 | [
"33-8=25",
"46+77=123",
"123-25=98"
] | Current State: 98:[8, 33, 46, 77], Operations: []
Exploring Operation: 33-8=25, Resulting Numbers: [46, 77, 25]
Generated Node #2: [46, 77, 25] from Operation: 33-8=25
Current State: 98:[46, 77, 25], Operations: ['33-8=25']
Exploring Operation: 46+77=123, Resulting Numbers: [25, 123]
Generated Node #3: [25, 123] from Operation: 46+77=123
Current State: 98:[25, 123], Operations: ['33-8=25', '46+77=123']
Exploring Operation: 123-25=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[8, 33, 46, 77], Operations: []
Exploring Operation: 33+77=110, Resulting Numbers: [8, 46, 110]
Generated Node #0,0: 98:[8, 46, 110] Operation: 33+77=110
Exploring Operation: 77-33=44, Resulting Numbers: [8, 46, 44]
Generated Node #0,1: 98:[8, 46, 44] Operation: 77-33=44
Moving to Node #0,1
Current State: 98:[8, 46, 44], Operations: ['77-33=44']
Exploring Operation: 46-44=2, Resulting Numbers: [8, 2]
Generated Node #0,1,0: 98:[8, 2] Operation: 46-44=2
Exploring Operation: 8+44=52, Resulting Numbers: [46, 52]
Generated Node #0,1,1: 98:[46, 52] Operation: 8+44=52
Moving to Node #0,0
Current State: 98:[8, 46, 110], Operations: ['33+77=110']
Exploring Operation: 110-46=64, Resulting Numbers: [8, 64]
Generated Node #0,0,0: 98:[8, 64] Operation: 110-46=64
Exploring Operation: 110-8=102, Resulting Numbers: [46, 102]
Generated Node #0,0,1: 98:[46, 102] Operation: 110-8=102
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 98:[46, 102], Operations: ['33+77=110', '110-8=102']
Exploring Operation: 102-46=56, Resulting Numbers: [56]
56,98 unequal: No Solution
Exploring Operation: 46+102=148, Resulting Numbers: [148]
148,98 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 #0,0,0
Current State: 98:[8, 64], Operations: ['33+77=110', '110-46=64']
Exploring Operation: 64-8=56, Resulting Numbers: [56]
56,98 unequal: No Solution
Exploring Operation: 64/8=8, Resulting Numbers: [8]
8,98 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: 98:[8, 2], Operations: ['77-33=44', '46-44=2']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[46, 52], Operations: ['77-33=44', '8+44=52']
Exploring Operation: 52-46=6, Resulting Numbers: [6]
6,98 unequal: No Solution
Exploring Operation: 46+52=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[8, 33, 46, 77], Operations: []
Exploring Operation: 77-33=44, Resulting Numbers: [8, 46, 44]
Generated Node #0,1: 98:[8, 46, 44] Operation: 77-33=44
Moving to Node #0,1
Current State: 98:[8, 46, 44], Operations: ['77-33=44']
Exploring Operation: 8+44=52, Resulting Numbers: [46, 52]
Generated Node #0,1,1: 98:[46, 52] Operation: 8+44=52
Moving to Node #0,1,1
Current State: 98:[46, 52], Operations: ['77-33=44', '8+44=52']
Exploring Operation: 46+52=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 0.984375 | hs_2 | mult_heuristic |
[
68,
63,
5,
40
] | 39 | [
"68-63=5",
"5/5=1",
"40-1=39"
] | Current State: 39:[68, 63, 5, 40], Operations: []
Exploring Operation: 68-63=5, Resulting Numbers: [5, 40, 5]
Generated Node #2: [5, 40, 5] from Operation: 68-63=5
Current State: 39:[5, 40, 5], Operations: ['68-63=5']
Exploring Operation: 5/5=1, Resulting Numbers: [40, 1]
Generated Node #3: [40, 1] from Operation: 5/5=1
Current State: 39:[40, 1], Operations: ['68-63=5', '5/5=1']
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[68, 63, 5, 40], Operations: []
Exploring Operation: 68-63=5, Resulting Numbers: [5, 40, 5]
Generated Node #0,0: 39:[5, 40, 5] Operation: 68-63=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[5, 40, 5], Operations: ['68-63=5']
Exploring Operation: 5/5=1, Resulting Numbers: [40, 1]
Generated Node #0,0,0: 39:[40, 1] Operation: 5/5=1
Moving to Node #0,0,0
Current State: 39:[40, 1], Operations: ['68-63=5', '5/5=1']
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[68, 63, 5, 40], Operations: []
Exploring Operation: 68-63=5, Resulting Numbers: [5, 40, 5]
Generated Node #0,0: 39:[5, 40, 5] Operation: 68-63=5
Moving to Node #0,0
Current State: 39:[5, 40, 5], Operations: ['68-63=5']
Exploring Operation: 5/5=1, Resulting Numbers: [40, 1]
Generated Node #0,0,0: 39:[40, 1] Operation: 5/5=1
Moving to Node #0,0,0
Current State: 39:[40, 1], Operations: ['68-63=5', '5/5=1']
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
66,
49,
24,
28
] | 24 | [
"66-24=42",
"28*42=1176",
"1176/49=24"
] | Current State: 24:[66, 49, 24, 28], Operations: []
Exploring Operation: 66-24=42, Resulting Numbers: [49, 28, 42]
Generated Node #2: [49, 28, 42] from Operation: 66-24=42
Current State: 24:[49, 28, 42], Operations: ['66-24=42']
Exploring Operation: 28*42=1176, Resulting Numbers: [49, 1176]
Generated Node #3: [49, 1176] from Operation: 28*42=1176
Current State: 24:[49, 1176], Operations: ['66-24=42', '28*42=1176']
Exploring Operation: 1176/49=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[66, 49, 24, 28], Operations: []
Exploring Operation: 66-49=17, Resulting Numbers: [24, 28, 17]
Generated Node #0,0: 24:[24, 28, 17] Operation: 66-49=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[24, 28, 17], Operations: ['66-49=17']
Exploring Operation: 28-17=11, Resulting Numbers: [24, 11]
Generated Node #0,0,0: 24:[24, 11] Operation: 28-17=11
Moving to Node #0,0,0
Current State: 24:[24, 11], Operations: ['66-49=17', '28-17=11']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,24 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 |
[
57,
31,
9,
21
] | 16 | [
"31*9=279",
"57+279=336",
"336/21=16"
] | Current State: 16:[57, 31, 9, 21], Operations: []
Exploring Operation: 31*9=279, Resulting Numbers: [57, 21, 279]
Generated Node #2: [57, 21, 279] from Operation: 31*9=279
Current State: 16:[57, 21, 279], Operations: ['31*9=279']
Exploring Operation: 57+279=336, Resulting Numbers: [21, 336]
Generated Node #3: [21, 336] from Operation: 57+279=336
Current State: 16:[21, 336], Operations: ['31*9=279', '57+279=336']
Exploring Operation: 336/21=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[57, 31, 9, 21], Operations: []
Exploring Operation: 57-31=26, Resulting Numbers: [9, 21, 26]
Generated Node #0,0: 16:[9, 21, 26] Operation: 57-31=26
Exploring Operation: 57-21=36, Resulting Numbers: [31, 9, 36]
Generated Node #0,1: 16:[31, 9, 36] Operation: 57-21=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[9, 21, 26], Operations: ['57-31=26']
Exploring Operation: 26-9=17, Resulting Numbers: [21, 17]
Generated Node #0,0,0: 16:[21, 17] Operation: 26-9=17
Exploring Operation: 26-21=5, Resulting Numbers: [9, 5]
Generated Node #0,0,1: 16:[9, 5] Operation: 26-21=5
Moving to Node #0,0,1
Current State: 16:[9, 5], Operations: ['57-31=26', '26-21=5']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,16 unequal: No Solution
Moving to Node #0,0,0
Current State: 16:[21, 17], Operations: ['57-31=26', '26-9=17']
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,16 unequal: No Solution
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,16 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
Current State: 16:[31, 9, 36], Operations: ['57-21=36']
Exploring Operation: 36/9=4, Resulting Numbers: [31, 4]
Generated Node #0,1,0: 16:[31, 4] Operation: 36/9=4
Exploring Operation: 36-31=5, Resulting Numbers: [9, 5]
Generated Node #0,1,1: 16:[9, 5] Operation: 36-31=5
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 16:[9, 5], Operations: ['57-21=36', '36-31=5']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,16 unequal: No Solution
No 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: 16:[31, 4], Operations: ['57-21=36', '36/9=4']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,16 unequal: No Solution
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,16 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 |
[
81,
26,
29,
88
] | 21 | [
"88-81=7",
"29-26=3",
"7*3=21"
] | Current State: 21:[81, 26, 29, 88], Operations: []
Exploring Operation: 88-81=7, Resulting Numbers: [26, 29, 7]
Generated Node #2: [26, 29, 7] from Operation: 88-81=7
Current State: 21:[26, 29, 7], Operations: ['88-81=7']
Exploring Operation: 29-26=3, Resulting Numbers: [7, 3]
Generated Node #3: [7, 3] from Operation: 29-26=3
Current State: 21:[7, 3], Operations: ['88-81=7', '29-26=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[81, 26, 29, 88], Operations: []
Exploring Operation: 88-29=59, Resulting Numbers: [81, 26, 59]
Generated Node #0,0: 21:[81, 26, 59] Operation: 88-29=59
Exploring Operation: 81-26=55, Resulting Numbers: [29, 88, 55]
Generated Node #0,1: 21:[29, 88, 55] Operation: 81-26=55
Exploring Operation: 88-81=7, Resulting Numbers: [26, 29, 7]
Generated Node #0,2: 21:[26, 29, 7] Operation: 88-81=7
Exploring Operation: 81-29=52, Resulting Numbers: [26, 88, 52]
Generated Node #0,3: 21:[26, 88, 52] Operation: 81-29=52
Start Sub Search at level 1: Moving to Node #0,2
Current State: 21:[26, 29, 7], Operations: ['88-81=7']
Exploring Operation: 29-7=22, Resulting Numbers: [26, 22]
Generated Node #0,2,0: 21:[26, 22] Operation: 29-7=22
Exploring Operation: 26+7=33, Resulting Numbers: [29, 33]
Generated Node #0,2,1: 21:[29, 33] Operation: 26+7=33
Exploring Operation: 29-26=3, Resulting Numbers: [7, 3]
Generated Node #0,2,2: 21:[7, 3] Operation: 29-26=3
Exploring Operation: 26-7=19, Resulting Numbers: [29, 19]
Generated Node #0,2,3: 21:[29, 19] Operation: 26-7=19
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 21:[7, 3], Operations: ['88-81=7', '29-26=3']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,21 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[81, 26, 29, 88], Operations: []
Exploring Operation: 88-81=7, Resulting Numbers: [26, 29, 7]
Generated Node #0,2: 21:[26, 29, 7] Operation: 88-81=7
Moving to Node #0,2
Current State: 21:[26, 29, 7], Operations: ['88-81=7']
Exploring Operation: 29-26=3, Resulting Numbers: [7, 3]
Generated Node #0,2,2: 21:[7, 3] Operation: 29-26=3
Moving to Node #0,2,2
Current State: 21:[7, 3], Operations: ['88-81=7', '29-26=3']
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
33,
63,
22,
81
] | 89 | [
"63-33=30",
"81-22=59",
"30+59=89"
] | Current State: 89:[33, 63, 22, 81], Operations: []
Exploring Operation: 63-33=30, Resulting Numbers: [22, 81, 30]
Generated Node #2: [22, 81, 30] from Operation: 63-33=30
Current State: 89:[22, 81, 30], Operations: ['63-33=30']
Exploring Operation: 81-22=59, Resulting Numbers: [30, 59]
Generated Node #3: [30, 59] from Operation: 81-22=59
Current State: 89:[30, 59], Operations: ['63-33=30', '81-22=59']
Exploring Operation: 30+59=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[33, 63, 22, 81], Operations: []
Exploring Operation: 33+63=96, Resulting Numbers: [22, 81, 96]
Generated Node #0,0: 89:[22, 81, 96] Operation: 33+63=96
Exploring Operation: 22+81=103, Resulting Numbers: [33, 63, 103]
Generated Node #0,1: 89:[33, 63, 103] Operation: 22+81=103
Exploring Operation: 33+22=55, Resulting Numbers: [63, 81, 55]
Generated Node #0,2: 89:[63, 81, 55] Operation: 33+22=55
Exploring Operation: 33-22=11, Resulting Numbers: [63, 81, 11]
Generated Node #0,3: 89:[63, 81, 11] Operation: 33-22=11
Exploring Operation: 63+22=85, Resulting Numbers: [33, 81, 85]
Generated Node #0,4: 89:[33, 81, 85] Operation: 63+22=85
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[63, 81, 55], Operations: ['33+22=55']
Exploring Operation: 63+81=144, Resulting Numbers: [55, 144]
Generated Node #0,2,0: 89:[55, 144] Operation: 63+81=144
Exploring Operation: 63+55=118, Resulting Numbers: [81, 118]
Generated Node #0,2,1: 89:[81, 118] Operation: 63+55=118
Exploring Operation: 81-55=26, Resulting Numbers: [63, 26]
Generated Node #0,2,2: 89:[63, 26] Operation: 81-55=26
Exploring Operation: 63-55=8, Resulting Numbers: [81, 8]
Generated Node #0,2,3: 89:[81, 8] Operation: 63-55=8
Exploring Operation: 81+55=136, Resulting Numbers: [63, 136]
Generated Node #0,2,4: 89:[63, 136] Operation: 81+55=136
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 89:[81, 118], Operations: ['33+22=55', '63+55=118']
Exploring Operation: 118-81=37, Resulting Numbers: [37]
37,89 unequal: No Solution
Exploring Operation: 81+118=199, Resulting Numbers: [199]
199,89 unequal: No Solution
Exploring Operation: 81*118=9558, Resulting Numbers: [9558]
9558,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 89:[63, 136], Operations: ['33+22=55', '81+55=136']
Exploring Operation: 63*136=8568, Resulting Numbers: [8568]
8568,89 unequal: No Solution
Exploring Operation: 136-63=73, Resulting Numbers: [73]
73,89 unequal: No Solution
Exploring Operation: 63+136=199, Resulting Numbers: [199]
199,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 89:[55, 144], Operations: ['33+22=55', '63+81=144']
Exploring Operation: 55+144=199, Resulting Numbers: [199]
199,89 unequal: No Solution
Exploring Operation: 144-55=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[33, 63, 22, 81], Operations: []
Exploring Operation: 33+22=55, Resulting Numbers: [63, 81, 55]
Generated Node #0,2: 89:[63, 81, 55] Operation: 33+22=55
Moving to Node #0,2
Current State: 89:[63, 81, 55], Operations: ['33+22=55']
Exploring Operation: 63+81=144, Resulting Numbers: [55, 144]
Generated Node #0,2,0: 89:[55, 144] Operation: 63+81=144
Moving to Node #0,2,0
Current State: 89:[55, 144], Operations: ['33+22=55', '63+81=144']
Exploring Operation: 144-55=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980903 | hs_5 | mult_heuristic |
[
51,
42,
10,
91
] | 90 | [
"51-42=9",
"91-10=81",
"9+81=90"
] | Current State: 90:[51, 42, 10, 91], Operations: []
Exploring Operation: 51-42=9, Resulting Numbers: [10, 91, 9]
Generated Node #2: [10, 91, 9] from Operation: 51-42=9
Current State: 90:[10, 91, 9], Operations: ['51-42=9']
Exploring Operation: 91-10=81, Resulting Numbers: [9, 81]
Generated Node #3: [9, 81] from Operation: 91-10=81
Current State: 90:[9, 81], Operations: ['51-42=9', '91-10=81']
Exploring Operation: 9+81=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[51, 42, 10, 91], Operations: []
Exploring Operation: 51-10=41, Resulting Numbers: [42, 91, 41]
Generated Node #0,0: 90:[42, 91, 41] Operation: 51-10=41
Exploring Operation: 91-51=40, Resulting Numbers: [42, 10, 40]
Generated Node #0,1: 90:[42, 10, 40] Operation: 91-51=40
Exploring Operation: 51-42=9, Resulting Numbers: [10, 91, 9]
Generated Node #0,2: 90:[10, 91, 9] Operation: 51-42=9
Exploring Operation: 51+42=93, Resulting Numbers: [10, 91, 93]
Generated Node #0,3: 90:[10, 91, 93] Operation: 51+42=93
Exploring Operation: 42-10=32, Resulting Numbers: [51, 91, 32]
Generated Node #0,4: 90:[51, 91, 32] Operation: 42-10=32
Start Sub Search at level 1: Moving to Node #0,2
Current State: 90:[10, 91, 9], Operations: ['51-42=9']
Exploring Operation: 91-10=81, Resulting Numbers: [9, 81]
Generated Node #0,2,0: 90:[9, 81] Operation: 91-10=81
Exploring Operation: 10*9=90, Resulting Numbers: [91, 90]
Generated Node #0,2,1: 90:[91, 90] Operation: 10*9=90
Exploring Operation: 91-9=82, Resulting Numbers: [10, 82]
Generated Node #0,2,2: 90:[10, 82] Operation: 91-9=82
Exploring Operation: 10-9=1, Resulting Numbers: [91, 1]
Generated Node #0,2,3: 90:[91, 1] Operation: 10-9=1
Exploring Operation: 10+9=19, Resulting Numbers: [91, 19]
Generated Node #0,2,4: 90:[91, 19] Operation: 10+9=19
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 90:[91, 90], Operations: ['51-42=9', '10*9=90']
Exploring Operation: 91*90=8190, Resulting Numbers: [8190]
8190,90 unequal: No Solution
Exploring Operation: 91+90=181, Resulting Numbers: [181]
181,90 unequal: No Solution
Exploring Operation: 91-90=1, Resulting Numbers: [1]
1,90 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 #0,2,3
Current State: 90:[91, 1], Operations: ['51-42=9', '10-9=1']
Exploring Operation: 91+1=92, Resulting Numbers: [92]
92,90 unequal: No Solution
Exploring Operation: 91*1=91, Resulting Numbers: [91]
91,90 unequal: No Solution
Exploring Operation: 91-1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[51, 42, 10, 91], Operations: []
Exploring Operation: 51-42=9, Resulting Numbers: [10, 91, 9]
Generated Node #0,2: 90:[10, 91, 9] Operation: 51-42=9
Moving to Node #0,2
Current State: 90:[10, 91, 9], Operations: ['51-42=9']
Exploring Operation: 10-9=1, Resulting Numbers: [91, 1]
Generated Node #0,2,3: 90:[91, 1] Operation: 10-9=1
Moving to Node #0,2,3
Current State: 90:[91, 1], Operations: ['51-42=9', '10-9=1']
Exploring Operation: 91-1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
85,
11,
87,
94
] | 89 | [
"85+11=96",
"94-87=7",
"96-7=89"
] | Current State: 89:[85, 11, 87, 94], Operations: []
Exploring Operation: 85+11=96, Resulting Numbers: [87, 94, 96]
Generated Node #2: [87, 94, 96] from Operation: 85+11=96
Current State: 89:[87, 94, 96], Operations: ['85+11=96']
Exploring Operation: 94-87=7, Resulting Numbers: [96, 7]
Generated Node #3: [96, 7] from Operation: 94-87=7
Current State: 89:[96, 7], Operations: ['85+11=96', '94-87=7']
Exploring Operation: 96-7=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[85, 11, 87, 94], Operations: []
Exploring Operation: 11+87=98, Resulting Numbers: [85, 94, 98]
Generated Node #0,0: 89:[85, 94, 98] Operation: 11+87=98
Exploring Operation: 94-11=83, Resulting Numbers: [85, 87, 83]
Generated Node #0,1: 89:[85, 87, 83] Operation: 94-11=83
Exploring Operation: 85+11=96, Resulting Numbers: [87, 94, 96]
Generated Node #0,2: 89:[87, 94, 96] Operation: 85+11=96
Moving to Node #0,1
Current State: 89:[85, 87, 83], Operations: ['94-11=83']
Exploring Operation: 85+87=172, Resulting Numbers: [83, 172]
Generated Node #0,1,0: 89:[83, 172] Operation: 85+87=172
Exploring Operation: 87+83=170, Resulting Numbers: [85, 170]
Generated Node #0,1,1: 89:[85, 170] Operation: 87+83=170
Exploring Operation: 85+83=168, Resulting Numbers: [87, 168]
Generated Node #0,1,2: 89:[87, 168] Operation: 85+83=168
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 89:[87, 168], Operations: ['94-11=83', '85+83=168']
Exploring Operation: 87*168=14616, Resulting Numbers: [14616]
14616,89 unequal: No Solution
Exploring Operation: 87+168=255, Resulting Numbers: [255]
255,89 unequal: No Solution
Exploring Operation: 168-87=81, Resulting Numbers: [81]
81,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 89:[85, 170], Operations: ['94-11=83', '87+83=170']
Exploring Operation: 85+170=255, Resulting Numbers: [255]
255,89 unequal: No Solution
Exploring Operation: 170-85=85, Resulting Numbers: [85]
85,89 unequal: No Solution
Exploring Operation: 170/85=2, Resulting Numbers: [2]
2,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 89:[83, 172], Operations: ['94-11=83', '85+87=172']
Exploring Operation: 83*172=14276, Resulting Numbers: [14276]
14276,89 unequal: No Solution
Exploring Operation: 172-83=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[85, 11, 87, 94], Operations: []
Exploring Operation: 94-11=83, Resulting Numbers: [85, 87, 83]
Generated Node #0,1: 89:[85, 87, 83] Operation: 94-11=83
Moving to Node #0,1
Current State: 89:[85, 87, 83], Operations: ['94-11=83']
Exploring Operation: 85+87=172, Resulting Numbers: [83, 172]
Generated Node #0,1,0: 89:[83, 172] Operation: 85+87=172
Moving to Node #0,1,0
Current State: 89:[83, 172], Operations: ['94-11=83', '85+87=172']
Exploring Operation: 172-83=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
93,
86,
69,
86
] | 93 | [
"86-86=0",
"69*0=0",
"93+0=93"
] | Current State: 93:[93, 86, 69, 86], Operations: []
Exploring Operation: 86-86=0, Resulting Numbers: [93, 69, 0]
Generated Node #2: [93, 69, 0] from Operation: 86-86=0
Current State: 93:[93, 69, 0], Operations: ['86-86=0']
Exploring Operation: 69*0=0, Resulting Numbers: [93, 0]
Generated Node #3: [93, 0] from Operation: 69*0=0
Current State: 93:[93, 0], Operations: ['86-86=0', '69*0=0']
Exploring Operation: 93+0=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[93, 86, 69, 86], Operations: []
Exploring Operation: 93-69=24, Resulting Numbers: [86, 86, 24]
Generated Node #0,0: 93:[86, 86, 24] Operation: 93-69=24
Exploring Operation: 86-69=17, Resulting Numbers: [93, 86, 17]
Generated Node #0,1: 93:[93, 86, 17] Operation: 86-69=17
Exploring Operation: 86-69=17, Resulting Numbers: [93, 86, 17]
Generated Node #0,2: 93:[93, 86, 17] Operation: 86-69=17
Exploring Operation: 86/86=1, Resulting Numbers: [93, 69, 1]
Generated Node #0,3: 93:[93, 69, 1] Operation: 86/86=1
Moving to Node #0,0
Current State: 93:[86, 86, 24], Operations: ['93-69=24']
Exploring Operation: 86-86=0, Resulting Numbers: [24, 0]
Generated Node #0,0,0: 93:[24, 0] Operation: 86-86=0
Exploring Operation: 86/86=1, Resulting Numbers: [24, 1]
Generated Node #0,0,1: 93:[24, 1] Operation: 86/86=1
Exploring Operation: 86+24=110, Resulting Numbers: [86, 110]
Generated Node #0,0,2: 93:[86, 110] Operation: 86+24=110
Exploring Operation: 86+24=110, Resulting Numbers: [86, 110]
Generated Node #0,0,3: 93:[86, 110] Operation: 86+24=110
Moving to Node #0,2
Current State: 93:[93, 86, 17], Operations: ['86-69=17']
Exploring Operation: 86+17=103, Resulting Numbers: [93, 103]
Generated Node #0,2,0: 93:[93, 103] Operation: 86+17=103
Exploring Operation: 93-86=7, Resulting Numbers: [17, 7]
Generated Node #0,2,1: 93:[17, 7] Operation: 93-86=7
Exploring Operation: 93+17=110, Resulting Numbers: [86, 110]
Generated Node #0,2,2: 93:[86, 110] Operation: 93+17=110
Exploring Operation: 93-17=76, Resulting Numbers: [86, 76]
Generated Node #0,2,3: 93:[86, 76] Operation: 93-17=76
Moving to Node #0,1
Current State: 93:[93, 86, 17], Operations: ['86-69=17']
Exploring Operation: 93-17=76, Resulting Numbers: [86, 76]
Generated Node #0,1,0: 93:[86, 76] Operation: 93-17=76
Exploring Operation: 86+17=103, Resulting Numbers: [93, 103]
Generated Node #0,1,1: 93:[93, 103] Operation: 86+17=103
Exploring Operation: 93+17=110, Resulting Numbers: [86, 110]
Generated Node #0,1,2: 93:[86, 110] Operation: 93+17=110
Exploring Operation: 93-86=7, Resulting Numbers: [17, 7]
Generated Node #0,1,3: 93:[17, 7] Operation: 93-86=7
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 93:[93, 103], Operations: ['86-69=17', '86+17=103']
Exploring Operation: 93+103=196, Resulting Numbers: [196]
196,93 unequal: No Solution
Exploring Operation: 103-93=10, Resulting Numbers: [10]
10,93 unequal: No Solution
Exploring Operation: 93*103=9579, Resulting Numbers: [9579]
9579,93 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 #0,1,3
Current State: 93:[17, 7], Operations: ['86-69=17', '93-86=7']
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,93 unequal: No Solution
Exploring Operation: 17*7=119, Resulting Numbers: [119]
119,93 unequal: No Solution
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,93 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 #0,1,0
Current State: 93:[86, 76], Operations: ['86-69=17', '93-17=76']
Exploring Operation: 86-76=10, Resulting Numbers: [10]
10,93 unequal: No Solution
Exploring Operation: 86*76=6536, Resulting Numbers: [6536]
6536,93 unequal: No Solution
Exploring Operation: 86+76=162, Resulting Numbers: [162]
162,93 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 #0,1,2
Current State: 93:[86, 110], Operations: ['86-69=17', '93+17=110']
Exploring Operation: 86*110=9460, Resulting Numbers: [9460]
9460,93 unequal: No Solution
Exploring Operation: 86+110=196, Resulting Numbers: [196]
196,93 unequal: No Solution
Exploring Operation: 110-86=24, Resulting Numbers: [24]
24,93 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: 93:[93, 69, 1], Operations: ['86/86=1']
Exploring Operation: 93/1=93, Resulting Numbers: [69, 93]
Generated Node #0,3,0: 93:[69, 93] Operation: 93/1=93
Exploring Operation: 93*1=93, Resulting Numbers: [69, 93]
Generated Node #0,3,1: 93:[69, 93] Operation: 93*1=93
Exploring Operation: 93-69=24, Resulting Numbers: [1, 24]
Generated Node #0,3,2: 93:[1, 24] Operation: 93-69=24
Exploring Operation: 69+1=70, Resulting Numbers: [93, 70]
Generated Node #0,3,3: 93:[93, 70] Operation: 69+1=70
Moving to Node #0,0,1
Current State: 93:[24, 1], Operations: ['93-69=24', '86/86=1']
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,93 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,93 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,93 unequal: No Solution
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,93 unequal: No Solution
Moving to Node #0,3,2
Current State: 93:[1, 24], Operations: ['86/86=1', '93-69=24']
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,93 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,93 unequal: No Solution
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,93 unequal: No Solution
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,93 unequal: No Solution
Moving to Node #0,2,0
Current State: 93:[93, 103], Operations: ['86-69=17', '86+17=103']
Exploring Operation: 93*103=9579, Resulting Numbers: [9579]
9579,93 unequal: No Solution
Exploring Operation: 103-93=10, Resulting Numbers: [10]
10,93 unequal: No Solution
Exploring Operation: 93+103=196, Resulting Numbers: [196]
196,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[24, 0], Operations: ['93-69=24', '86-86=0']
Exploring Operation: 24+0=24, Resulting Numbers: [24]
24,93 unequal: No Solution
Exploring Operation: 24-0=24, Resulting Numbers: [24]
24,93 unequal: No Solution
Exploring Operation: 24*0=0, Resulting Numbers: [0]
0,93 unequal: No Solution
Moving to Node #0,2,1
Current State: 93:[17, 7], Operations: ['86-69=17', '93-86=7']
Exploring Operation: 17*7=119, Resulting Numbers: [119]
119,93 unequal: No Solution
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,93 unequal: No Solution
Exploring Operation: 17+7=24, Resulting Numbers: [24]
24,93 unequal: No Solution
Moving to Node #0,3,3
Current State: 93:[93, 70], Operations: ['86/86=1', '69+1=70']
Exploring Operation: 93+70=163, Resulting Numbers: [163]
163,93 unequal: No Solution
Exploring Operation: 93*70=6510, Resulting Numbers: [6510]
6510,93 unequal: No Solution
Exploring Operation: 93-70=23, Resulting Numbers: [23]
23,93 unequal: No Solution
Moving to Node #0,2,2
Current State: 93:[86, 110], Operations: ['86-69=17', '93+17=110']
Exploring Operation: 86+110=196, Resulting Numbers: [196]
196,93 unequal: No Solution
Exploring Operation: 110-86=24, Resulting Numbers: [24]
24,93 unequal: No Solution
Exploring Operation: 86*110=9460, Resulting Numbers: [9460]
9460,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[86, 110], Operations: ['93-69=24', '86+24=110']
Exploring Operation: 110-86=24, Resulting Numbers: [24]
24,93 unequal: No Solution
Exploring Operation: 86*110=9460, Resulting Numbers: [9460]
9460,93 unequal: No Solution
Exploring Operation: 86+110=196, Resulting Numbers: [196]
196,93 unequal: No Solution
Moving to Node #0,3,0
Current State: 93:[69, 93], Operations: ['86/86=1', '93/1=93']
Exploring Operation: 93-69=24, Resulting Numbers: [24]
24,93 unequal: No Solution
Exploring Operation: 69*93=6417, Resulting Numbers: [6417]
6417,93 unequal: No Solution
Exploring Operation: 69+93=162, Resulting Numbers: [162]
162,93 unequal: No Solution
Moving to Node #0,2,3
Current State: 93:[86, 76], Operations: ['86-69=17', '93-17=76']
Exploring Operation: 86-76=10, Resulting Numbers: [10]
10,93 unequal: No Solution
Exploring Operation: 86+76=162, Resulting Numbers: [162]
162,93 unequal: No Solution
Exploring Operation: 86*76=6536, Resulting Numbers: [6536]
6536,93 unequal: No Solution
Moving to Node #0,3,1
Current State: 93:[69, 93], Operations: ['86/86=1', '93*1=93']
Exploring Operation: 69*93=6417, Resulting Numbers: [6417]
6417,93 unequal: No Solution
Exploring Operation: 93-69=24, Resulting Numbers: [24]
24,93 unequal: No Solution
Exploring Operation: 69+93=162, Resulting Numbers: [162]
162,93 unequal: No Solution
Moving to Node #0,0,3
Current State: 93:[86, 110], Operations: ['93-69=24', '86+24=110']
Exploring Operation: 86*110=9460, Resulting Numbers: [9460]
9460,93 unequal: No Solution
Exploring Operation: 110-86=24, Resulting Numbers: [24]
24,93 unequal: No Solution
Exploring Operation: 86+110=196, Resulting Numbers: [196]
196,93 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
31,
88,
16,
33
] | 70 | [
"31+88=119",
"16+33=49",
"119-49=70"
] | Current State: 70:[31, 88, 16, 33], Operations: []
Exploring Operation: 31+88=119, Resulting Numbers: [16, 33, 119]
Generated Node #2: [16, 33, 119] from Operation: 31+88=119
Current State: 70:[16, 33, 119], Operations: ['31+88=119']
Exploring Operation: 16+33=49, Resulting Numbers: [119, 49]
Generated Node #3: [119, 49] from Operation: 16+33=49
Current State: 70:[119, 49], Operations: ['31+88=119', '16+33=49']
Exploring Operation: 119-49=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[31, 88, 16, 33], Operations: []
Exploring Operation: 88-16=72, Resulting Numbers: [31, 33, 72]
Generated Node #0,0: 70:[31, 33, 72] Operation: 88-16=72
Exploring Operation: 33-31=2, Resulting Numbers: [88, 16, 2]
Generated Node #0,1: 70:[88, 16, 2] Operation: 33-31=2
Exploring Operation: 31-16=15, Resulting Numbers: [88, 33, 15]
Generated Node #0,2: 70:[88, 33, 15] Operation: 31-16=15
Exploring Operation: 88-31=57, Resulting Numbers: [16, 33, 57]
Generated Node #0,3: 70:[16, 33, 57] Operation: 88-31=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[31, 33, 72], Operations: ['88-16=72']
Exploring Operation: 72-31=41, Resulting Numbers: [33, 41]
Generated Node #0,0,0: 70:[33, 41] Operation: 72-31=41
Exploring Operation: 31+33=64, Resulting Numbers: [72, 64]
Generated Node #0,0,1: 70:[72, 64] Operation: 31+33=64
Exploring Operation: 72-33=39, Resulting Numbers: [31, 39]
Generated Node #0,0,2: 70:[31, 39] Operation: 72-33=39
Exploring Operation: 33-31=2, Resulting Numbers: [72, 2]
Generated Node #0,0,3: 70:[72, 2] Operation: 33-31=2
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 70:[72, 2], Operations: ['88-16=72', '33-31=2']
Exploring Operation: 72+2=74, Resulting Numbers: [74]
74,70 unequal: No Solution
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[31, 88, 16, 33], Operations: []
Exploring Operation: 88-16=72, Resulting Numbers: [31, 33, 72]
Generated Node #0,0: 70:[31, 33, 72] Operation: 88-16=72
Moving to Node #0,0
Current State: 70:[31, 33, 72], Operations: ['88-16=72']
Exploring Operation: 33-31=2, Resulting Numbers: [72, 2]
Generated Node #0,0,3: 70:[72, 2] Operation: 33-31=2
Moving to Node #0,0,3
Current State: 70:[72, 2], Operations: ['88-16=72', '33-31=2']
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
18,
58,
12,
74
] | 13 | [
"18*58=1044",
"1044/12=87",
"87-74=13"
] | Current State: 13:[18, 58, 12, 74], Operations: []
Exploring Operation: 18*58=1044, Resulting Numbers: [12, 74, 1044]
Generated Node #2: [12, 74, 1044] from Operation: 18*58=1044
Current State: 13:[12, 74, 1044], Operations: ['18*58=1044']
Exploring Operation: 1044/12=87, Resulting Numbers: [74, 87]
Generated Node #3: [74, 87] from Operation: 1044/12=87
Current State: 13:[74, 87], Operations: ['18*58=1044', '1044/12=87']
Exploring Operation: 87-74=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[18, 58, 12, 74], Operations: []
Exploring Operation: 74-18=56, Resulting Numbers: [58, 12, 56]
Generated Node #0,0: 13:[58, 12, 56] Operation: 74-18=56
Exploring Operation: 74-58=16, Resulting Numbers: [18, 12, 16]
Generated Node #0,1: 13:[18, 12, 16] Operation: 74-58=16
Exploring Operation: 58-18=40, Resulting Numbers: [12, 74, 40]
Generated Node #0,2: 13:[12, 74, 40] Operation: 58-18=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[18, 12, 16], Operations: ['74-58=16']
Exploring Operation: 16-12=4, Resulting Numbers: [18, 4]
Generated Node #0,1,0: 13:[18, 4] Operation: 16-12=4
Exploring Operation: 18-16=2, Resulting Numbers: [12, 2]
Generated Node #0,1,1: 13:[12, 2] Operation: 18-16=2
Exploring Operation: 18-12=6, Resulting Numbers: [16, 6]
Generated Node #0,1,2: 13:[16, 6] Operation: 18-12=6
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 13:[16, 6], Operations: ['74-58=16', '18-12=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,13 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,13 unequal: No Solution
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,13 unequal: No Solution
No 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: 13:[12, 2], Operations: ['74-58=16', '18-16=2']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,13 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,13 unequal: No Solution
No 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: 13:[18, 4], Operations: ['74-58=16', '16-12=4']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 18+4=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 18*4=72, Resulting Numbers: [72]
72,13 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: 13:[58, 12, 56], Operations: ['74-18=56']
Exploring Operation: 58-12=46, Resulting Numbers: [56, 46]
Generated Node #0,0,0: 13:[56, 46] Operation: 58-12=46
Exploring Operation: 58-56=2, Resulting Numbers: [12, 2]
Generated Node #0,0,1: 13:[12, 2] Operation: 58-56=2
Exploring Operation: 56-12=44, Resulting Numbers: [58, 44]
Generated Node #0,0,2: 13:[58, 44] Operation: 56-12=44
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 13:[12, 2], Operations: ['74-18=56', '58-56=2']
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,13 unequal: No Solution
No 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: 13:[56, 46], Operations: ['74-18=56', '58-12=46']
Exploring Operation: 56+46=102, Resulting Numbers: [102]
102,13 unequal: No Solution
Exploring Operation: 56-46=10, Resulting Numbers: [10]
10,13 unequal: No Solution
Exploring Operation: 56*46=2576, Resulting Numbers: [2576]
2576,13 unequal: No Solution
No 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: 13:[58, 44], Operations: ['74-18=56', '56-12=44']
Exploring Operation: 58-44=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 58+44=102, Resulting Numbers: [102]
102,13 unequal: No Solution
Exploring Operation: 58*44=2552, Resulting Numbers: [2552]
2552,13 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: 13:[12, 74, 40], Operations: ['58-18=40']
Exploring Operation: 74-40=34, Resulting Numbers: [12, 34]
Generated Node #0,2,0: 13:[12, 34] Operation: 74-40=34
Exploring Operation: 40-12=28, Resulting Numbers: [74, 28]
Generated Node #0,2,1: 13:[74, 28] Operation: 40-12=28
Exploring Operation: 74-12=62, Resulting Numbers: [40, 62]
Generated Node #0,2,2: 13:[40, 62] Operation: 74-12=62
Moving to Node #0,2,0
Current State: 13:[12, 34], Operations: ['58-18=40', '74-40=34']
Exploring Operation: 12*34=408, Resulting Numbers: [408]
408,13 unequal: No Solution
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 12+34=46, Resulting Numbers: [46]
46,13 unequal: No Solution
Moving to Node #0,2,1
Current State: 13:[74, 28], Operations: ['58-18=40', '40-12=28']
Exploring Operation: 74+28=102, Resulting Numbers: [102]
102,13 unequal: No Solution
Exploring Operation: 74*28=2072, Resulting Numbers: [2072]
2072,13 unequal: No Solution
Exploring Operation: 74-28=46, Resulting Numbers: [46]
46,13 unequal: No Solution
Moving to Node #0,2,2
Current State: 13:[40, 62], Operations: ['58-18=40', '74-12=62']
Exploring Operation: 62-40=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 40*62=2480, Resulting Numbers: [2480]
2480,13 unequal: No Solution
Exploring Operation: 40+62=102, Resulting Numbers: [102]
102,13 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 |
[
32,
77,
71,
94
] | 56 | [
"32+77=109",
"71+94=165",
"165-109=56"
] | Current State: 56:[32, 77, 71, 94], Operations: []
Exploring Operation: 32+77=109, Resulting Numbers: [71, 94, 109]
Generated Node #2: [71, 94, 109] from Operation: 32+77=109
Current State: 56:[71, 94, 109], Operations: ['32+77=109']
Exploring Operation: 71+94=165, Resulting Numbers: [109, 165]
Generated Node #3: [109, 165] from Operation: 71+94=165
Current State: 56:[109, 165], Operations: ['32+77=109', '71+94=165']
Exploring Operation: 165-109=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[32, 77, 71, 94], Operations: []
Exploring Operation: 94-77=17, Resulting Numbers: [32, 71, 17]
Generated Node #0,0: 56:[32, 71, 17] Operation: 94-77=17
Exploring Operation: 94-71=23, Resulting Numbers: [32, 77, 23]
Generated Node #0,1: 56:[32, 77, 23] Operation: 94-71=23
Exploring Operation: 94-32=62, Resulting Numbers: [77, 71, 62]
Generated Node #0,2: 56:[77, 71, 62] Operation: 94-32=62
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[32, 71, 17], Operations: ['94-77=17']
Exploring Operation: 32-17=15, Resulting Numbers: [71, 15]
Generated Node #0,0,0: 56:[71, 15] Operation: 32-17=15
Exploring Operation: 71-32=39, Resulting Numbers: [17, 39]
Generated Node #0,0,1: 56:[17, 39] Operation: 71-32=39
Exploring Operation: 71-17=54, Resulting Numbers: [32, 54]
Generated Node #0,0,2: 56:[32, 54] Operation: 71-17=54
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 56:[32, 54], Operations: ['94-77=17', '71-17=54']
Exploring Operation: 32+54=86, Resulting Numbers: [86]
86,56 unequal: No Solution
Exploring Operation: 32*54=1728, Resulting Numbers: [1728]
1728,56 unequal: No Solution
Exploring Operation: 54-32=22, Resulting Numbers: [22]
22,56 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 #0,0,1
Current State: 56:[17, 39], Operations: ['94-77=17', '71-32=39']
Exploring Operation: 17+39=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[32, 77, 71, 94], Operations: []
Exploring Operation: 94-77=17, Resulting Numbers: [32, 71, 17]
Generated Node #0,0: 56:[32, 71, 17] Operation: 94-77=17
Moving to Node #0,0
Current State: 56:[32, 71, 17], Operations: ['94-77=17']
Exploring Operation: 71-32=39, Resulting Numbers: [17, 39]
Generated Node #0,0,1: 56:[17, 39] Operation: 71-32=39
Moving to Node #0,0,1
Current State: 56:[17, 39], Operations: ['94-77=17', '71-32=39']
Exploring Operation: 17+39=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
82,
54,
18,
68
] | 42 | [
"82-68=14",
"54/18=3",
"14*3=42"
] | Current State: 42:[82, 54, 18, 68], Operations: []
Exploring Operation: 82-68=14, Resulting Numbers: [54, 18, 14]
Generated Node #2: [54, 18, 14] from Operation: 82-68=14
Current State: 42:[54, 18, 14], Operations: ['82-68=14']
Exploring Operation: 54/18=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 54/18=3
Current State: 42:[14, 3], Operations: ['82-68=14', '54/18=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[82, 54, 18, 68], Operations: []
Exploring Operation: 82-68=14, Resulting Numbers: [54, 18, 14]
Generated Node #0,0: 42:[54, 18, 14] Operation: 82-68=14
Exploring Operation: 82-54=28, Resulting Numbers: [18, 68, 28]
Generated Node #0,1: 42:[18, 68, 28] Operation: 82-54=28
Exploring Operation: 82-18=64, Resulting Numbers: [54, 68, 64]
Generated Node #0,2: 42:[54, 68, 64] Operation: 82-18=64
Exploring Operation: 68-54=14, Resulting Numbers: [82, 18, 14]
Generated Node #0,3: 42:[82, 18, 14] Operation: 68-54=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[54, 18, 14], Operations: ['82-68=14']
Exploring Operation: 54-14=40, Resulting Numbers: [18, 40]
Generated Node #0,0,0: 42:[18, 40] Operation: 54-14=40
Exploring Operation: 18-14=4, Resulting Numbers: [54, 4]
Generated Node #0,0,1: 42:[54, 4] Operation: 18-14=4
Exploring Operation: 54/18=3, Resulting Numbers: [14, 3]
Generated Node #0,0,2: 42:[14, 3] Operation: 54/18=3
Exploring Operation: 54-18=36, Resulting Numbers: [14, 36]
Generated Node #0,0,3: 42:[14, 36] Operation: 54-18=36
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 42:[14, 3], Operations: ['82-68=14', '54/18=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[82, 54, 18, 68], Operations: []
Exploring Operation: 82-68=14, Resulting Numbers: [54, 18, 14]
Generated Node #0,0: 42:[54, 18, 14] Operation: 82-68=14
Moving to Node #0,0
Current State: 42:[54, 18, 14], Operations: ['82-68=14']
Exploring Operation: 54/18=3, Resulting Numbers: [14, 3]
Generated Node #0,0,2: 42:[14, 3] Operation: 54/18=3
Moving to Node #0,0,2
Current State: 42:[14, 3], Operations: ['82-68=14', '54/18=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
2,
32,
22,
86
] | 81 | [
"32-22=10",
"10/2=5",
"86-5=81"
] | Current State: 81:[2, 32, 22, 86], Operations: []
Exploring Operation: 32-22=10, Resulting Numbers: [2, 86, 10]
Generated Node #2: [2, 86, 10] from Operation: 32-22=10
Current State: 81:[2, 86, 10], Operations: ['32-22=10']
Exploring Operation: 10/2=5, Resulting Numbers: [86, 5]
Generated Node #3: [86, 5] from Operation: 10/2=5
Current State: 81:[86, 5], Operations: ['32-22=10', '10/2=5']
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[2, 32, 22, 86], Operations: []
Exploring Operation: 2+22=24, Resulting Numbers: [32, 86, 24]
Generated Node #0,0: 81:[32, 86, 24] Operation: 2+22=24
Exploring Operation: 32-2=30, Resulting Numbers: [22, 86, 30]
Generated Node #0,1: 81:[22, 86, 30] Operation: 32-2=30
Exploring Operation: 22/2=11, Resulting Numbers: [32, 86, 11]
Generated Node #0,2: 81:[32, 86, 11] Operation: 22/2=11
Exploring Operation: 32-22=10, Resulting Numbers: [2, 86, 10]
Generated Node #0,3: 81:[2, 86, 10] Operation: 32-22=10
Start Sub Search at level 1: Moving to Node #0,3
Current State: 81:[2, 86, 10], Operations: ['32-22=10']
Exploring Operation: 10/2=5, Resulting Numbers: [86, 5]
Generated Node #0,3,0: 81:[86, 5] Operation: 10/2=5
Exploring Operation: 86-10=76, Resulting Numbers: [2, 76]
Generated Node #0,3,1: 81:[2, 76] Operation: 86-10=76
Exploring Operation: 86-2=84, Resulting Numbers: [10, 84]
Generated Node #0,3,2: 81:[10, 84] Operation: 86-2=84
Exploring Operation: 10-2=8, Resulting Numbers: [86, 8]
Generated Node #0,3,3: 81:[86, 8] Operation: 10-2=8
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 81:[10, 84], Operations: ['32-22=10', '86-2=84']
Exploring Operation: 10+84=94, Resulting Numbers: [94]
94,81 unequal: No Solution
Exploring Operation: 84-10=74, Resulting Numbers: [74]
74,81 unequal: No Solution
Exploring Operation: 10*84=840, Resulting Numbers: [840]
840,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 81:[2, 76], Operations: ['32-22=10', '86-10=76']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,81 unequal: No Solution
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,81 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,81 unequal: No Solution
Exploring Operation: 2*76=152, Resulting Numbers: [152]
152,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 81:[86, 8], Operations: ['32-22=10', '10-2=8']
Exploring Operation: 86-8=78, Resulting Numbers: [78]
78,81 unequal: No Solution
Exploring Operation: 86*8=688, Resulting Numbers: [688]
688,81 unequal: No Solution
Exploring Operation: 86+8=94, Resulting Numbers: [94]
94,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 81:[86, 5], Operations: ['32-22=10', '10/2=5']
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,81 unequal: No Solution
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[2, 32, 22, 86], Operations: []
Exploring Operation: 32-22=10, Resulting Numbers: [2, 86, 10]
Generated Node #0,3: 81:[2, 86, 10] Operation: 32-22=10
Moving to Node #0,3
Current State: 81:[2, 86, 10], Operations: ['32-22=10']
Exploring Operation: 10/2=5, Resulting Numbers: [86, 5]
Generated Node #0,3,0: 81:[86, 5] Operation: 10/2=5
Moving to Node #0,3,0
Current State: 81:[86, 5], Operations: ['32-22=10', '10/2=5']
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.979167 | hs_4 | mult_heuristic |
[
44,
33,
81,
16
] | 64 | [
"44+33=77",
"81-77=4",
"16*4=64"
] | Current State: 64:[44, 33, 81, 16], Operations: []
Exploring Operation: 44+33=77, Resulting Numbers: [81, 16, 77]
Generated Node #2: [81, 16, 77] from Operation: 44+33=77
Current State: 64:[81, 16, 77], Operations: ['44+33=77']
Exploring Operation: 81-77=4, Resulting Numbers: [16, 4]
Generated Node #3: [16, 4] from Operation: 81-77=4
Current State: 64:[16, 4], Operations: ['44+33=77', '81-77=4']
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[44, 33, 81, 16], Operations: []
Exploring Operation: 81-44=37, Resulting Numbers: [33, 16, 37]
Generated Node #0,0: 64:[33, 16, 37] Operation: 81-44=37
Moving to Node #0,0
Current State: 64:[33, 16, 37], Operations: ['81-44=37']
Exploring Operation: 37-33=4, Resulting Numbers: [16, 4]
Generated Node #0,0,0: 64:[16, 4] Operation: 37-33=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[16, 4], Operations: ['81-44=37', '37-33=4']
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[44, 33, 81, 16], Operations: []
Exploring Operation: 81-44=37, Resulting Numbers: [33, 16, 37]
Generated Node #0,0: 64:[33, 16, 37] Operation: 81-44=37
Moving to Node #0,0
Current State: 64:[33, 16, 37], Operations: ['81-44=37']
Exploring Operation: 37-33=4, Resulting Numbers: [16, 4]
Generated Node #0,0,0: 64:[16, 4] Operation: 37-33=4
Moving to Node #0,0,0
Current State: 64:[16, 4], Operations: ['81-44=37', '37-33=4']
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
47,
51,
59,
73
] | 84 | [
"47+51=98",
"73-59=14",
"98-14=84"
] | Current State: 84:[47, 51, 59, 73], Operations: []
Exploring Operation: 47+51=98, Resulting Numbers: [59, 73, 98]
Generated Node #2: [59, 73, 98] from Operation: 47+51=98
Current State: 84:[59, 73, 98], Operations: ['47+51=98']
Exploring Operation: 73-59=14, Resulting Numbers: [98, 14]
Generated Node #3: [98, 14] from Operation: 73-59=14
Current State: 84:[98, 14], Operations: ['47+51=98', '73-59=14']
Exploring Operation: 98-14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[47, 51, 59, 73], Operations: []
Exploring Operation: 73-51=22, Resulting Numbers: [47, 59, 22]
Generated Node #0,0: 84:[47, 59, 22] Operation: 73-51=22
Exploring Operation: 59-51=8, Resulting Numbers: [47, 73, 8]
Generated Node #0,1: 84:[47, 73, 8] Operation: 59-51=8
Exploring Operation: 73-59=14, Resulting Numbers: [47, 51, 14]
Generated Node #0,2: 84:[47, 51, 14] Operation: 73-59=14
Exploring Operation: 59-47=12, Resulting Numbers: [51, 73, 12]
Generated Node #0,3: 84:[51, 73, 12] Operation: 59-47=12
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[47, 51, 14], Operations: ['73-59=14']
Exploring Operation: 51-47=4, Resulting Numbers: [14, 4]
Generated Node #0,2,0: 84:[14, 4] Operation: 51-47=4
Exploring Operation: 51-14=37, Resulting Numbers: [47, 37]
Generated Node #0,2,1: 84:[47, 37] Operation: 51-14=37
Exploring Operation: 47-14=33, Resulting Numbers: [51, 33]
Generated Node #0,2,2: 84:[51, 33] Operation: 47-14=33
Exploring Operation: 47+51=98, Resulting Numbers: [14, 98]
Generated Node #0,2,3: 84:[14, 98] Operation: 47+51=98
Moving to Node #0,2,0
Current State: 84:[14, 4], Operations: ['73-59=14', '51-47=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,84 unequal: No Solution
Exploring Operation: 14+4=18, Resulting Numbers: [18]
18,84 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Moving to Node #0,2,1
Current State: 84:[47, 37], Operations: ['73-59=14', '51-14=37']
Exploring Operation: 47*37=1739, Resulting Numbers: [1739]
1739,84 unequal: No Solution
Exploring Operation: 47+37=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[47, 51, 59, 73], Operations: []
Exploring Operation: 73-59=14, Resulting Numbers: [47, 51, 14]
Generated Node #0,2: 84:[47, 51, 14] Operation: 73-59=14
Moving to Node #0,2
Current State: 84:[47, 51, 14], Operations: ['73-59=14']
Exploring Operation: 51-14=37, Resulting Numbers: [47, 37]
Generated Node #0,2,1: 84:[47, 37] Operation: 51-14=37
Moving to Node #0,2,1
Current State: 84:[47, 37], Operations: ['73-59=14', '51-14=37']
Exploring Operation: 47+37=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
34,
44,
22,
80
] | 47 | [
"22+80=102",
"102/34=3",
"44+3=47"
] | Current State: 47:[34, 44, 22, 80], Operations: []
Exploring Operation: 22+80=102, Resulting Numbers: [34, 44, 102]
Generated Node #2: [34, 44, 102] from Operation: 22+80=102
Current State: 47:[34, 44, 102], Operations: ['22+80=102']
Exploring Operation: 102/34=3, Resulting Numbers: [44, 3]
Generated Node #3: [44, 3] from Operation: 102/34=3
Current State: 47:[44, 3], Operations: ['22+80=102', '102/34=3']
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[34, 44, 22, 80], Operations: []
Exploring Operation: 34+22=56, Resulting Numbers: [44, 80, 56]
Generated Node #0,0: 47:[44, 80, 56] Operation: 34+22=56
Exploring Operation: 80-22=58, Resulting Numbers: [34, 44, 58]
Generated Node #0,1: 47:[34, 44, 58] Operation: 80-22=58
Exploring Operation: 80-44=36, Resulting Numbers: [34, 22, 36]
Generated Node #0,2: 47:[34, 22, 36] Operation: 80-44=36
Exploring Operation: 80-34=46, Resulting Numbers: [44, 22, 46]
Generated Node #0,3: 47:[44, 22, 46] Operation: 80-34=46
Exploring Operation: 44+22=66, Resulting Numbers: [34, 80, 66]
Generated Node #0,4: 47:[34, 80, 66] Operation: 44+22=66
Start Sub Search at level 1: Moving to Node #0,1
Current State: 47:[34, 44, 58], Operations: ['80-22=58']
Exploring Operation: 34+58=92, Resulting Numbers: [44, 92]
Generated Node #0,1,0: 47:[44, 92] Operation: 34+58=92
Exploring Operation: 44-34=10, Resulting Numbers: [58, 10]
Generated Node #0,1,1: 47:[58, 10] Operation: 44-34=10
Exploring Operation: 34+44=78, Resulting Numbers: [58, 78]
Generated Node #0,1,2: 47:[58, 78] Operation: 34+44=78
Exploring Operation: 58-44=14, Resulting Numbers: [34, 14]
Generated Node #0,1,3: 47:[34, 14] Operation: 58-44=14
Exploring Operation: 58-34=24, Resulting Numbers: [44, 24]
Generated Node #0,1,4: 47:[44, 24] Operation: 58-34=24
Moving to Node #0,1,4
Current State: 47:[44, 24], Operations: ['80-22=58', '58-34=24']
Exploring Operation: 44*24=1056, Resulting Numbers: [1056]
1056,47 unequal: No Solution
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 44+24=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Moving to Node #0,1,2
Current State: 47:[58, 78], Operations: ['80-22=58', '34+44=78']
Exploring Operation: 78-58=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 58+78=136, Resulting Numbers: [136]
136,47 unequal: No Solution
Exploring Operation: 58*78=4524, Resulting Numbers: [4524]
4524,47 unequal: No Solution
Moving to Node #0,1,3
Current State: 47:[34, 14], Operations: ['80-22=58', '58-44=14']
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 34+14=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 34*14=476, Resulting Numbers: [476]
476,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[44, 92], Operations: ['80-22=58', '34+58=92']
Exploring Operation: 92-44=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 44*92=4048, Resulting Numbers: [4048]
4048,47 unequal: No Solution
Exploring Operation: 44+92=136, Resulting Numbers: [136]
136,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[58, 10], Operations: ['80-22=58', '44-34=10']
Exploring Operation: 58*10=580, Resulting Numbers: [580]
580,47 unequal: No Solution
Exploring Operation: 58+10=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 47:[44, 22, 46], Operations: ['80-34=46']
Exploring Operation: 44/22=2, Resulting Numbers: [46, 2]
Generated Node #0,3,0: 47:[46, 2] Operation: 44/22=2
Exploring Operation: 22+46=68, Resulting Numbers: [44, 68]
Generated Node #0,3,1: 47:[44, 68] Operation: 22+46=68
Exploring Operation: 44-22=22, Resulting Numbers: [46, 22]
Generated Node #0,3,2: 47:[46, 22] Operation: 44-22=22
Exploring Operation: 46-22=24, Resulting Numbers: [44, 24]
Generated Node #0,3,3: 47:[44, 24] Operation: 46-22=24
Exploring Operation: 44+22=66, Resulting Numbers: [46, 66]
Generated Node #0,3,4: 47:[46, 66] Operation: 44+22=66
Moving to Node #0,3,4
Current State: 47:[46, 66], Operations: ['80-34=46', '44+22=66']
Exploring Operation: 46*66=3036, Resulting Numbers: [3036]
3036,47 unequal: No Solution
Exploring Operation: 46+66=112, Resulting Numbers: [112]
112,47 unequal: No Solution
Exploring Operation: 66-46=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Moving to Node #0,3,1
Current State: 47:[44, 68], Operations: ['80-34=46', '22+46=68']
Exploring Operation: 68-44=24, Resulting Numbers: [24]
24,47 unequal: No Solution
Exploring Operation: 44+68=112, Resulting Numbers: [112]
112,47 unequal: No Solution
Exploring Operation: 44*68=2992, Resulting Numbers: [2992]
2992,47 unequal: No Solution
Moving to Node #0,3,2
Current State: 47:[46, 22], Operations: ['80-34=46', '44-22=22']
Exploring Operation: 46+22=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Exploring Operation: 46*22=1012, Resulting Numbers: [1012]
1012,47 unequal: No Solution
Exploring Operation: 46-22=24, Resulting Numbers: [24]
24,47 unequal: No Solution
Moving to Node #0,3,3
Current State: 47:[44, 24], Operations: ['80-34=46', '46-22=24']
Exploring Operation: 44+24=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Exploring Operation: 44*24=1056, Resulting Numbers: [1056]
1056,47 unequal: No Solution
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Moving to Node #0,3,0
Current State: 47:[46, 2], Operations: ['80-34=46', '44/22=2']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,47 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[44, 80, 56], Operations: ['34+22=56']
Exploring Operation: 80-56=24, Resulting Numbers: [44, 24]
Generated Node #0,0,0: 47:[44, 24] Operation: 80-56=24
Exploring Operation: 80-44=36, Resulting Numbers: [56, 36]
Generated Node #0,0,1: 47:[56, 36] Operation: 80-44=36
Exploring Operation: 44+80=124, Resulting Numbers: [56, 124]
Generated Node #0,0,2: 47:[56, 124] Operation: 44+80=124
Exploring Operation: 44+56=100, Resulting Numbers: [80, 100]
Generated Node #0,0,3: 47:[80, 100] Operation: 44+56=100
Exploring Operation: 56-44=12, Resulting Numbers: [80, 12]
Generated Node #0,0,4: 47:[80, 12] Operation: 56-44=12
Moving to Node #0,0,1
Current State: 47:[56, 36], Operations: ['34+22=56', '80-44=36']
Exploring Operation: 56-36=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 56*36=2016, Resulting Numbers: [2016]
2016,47 unequal: No Solution
Exploring Operation: 56+36=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[44, 24], Operations: ['34+22=56', '80-56=24']
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 44+24=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Exploring Operation: 44*24=1056, Resulting Numbers: [1056]
1056,47 unequal: No Solution
Moving to Node #0,0,4
Current State: 47:[80, 12], Operations: ['34+22=56', '56-44=12']
Exploring Operation: 80+12=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Exploring Operation: 80-12=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Exploring Operation: 80*12=960, Resulting Numbers: [960]
960,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[56, 124], Operations: ['34+22=56', '44+80=124']
Exploring Operation: 124-56=68, Resulting Numbers: [68]
68,47 unequal: No Solution
Exploring Operation: 56*124=6944, Resulting Numbers: [6944]
6944,47 unequal: No Solution
Exploring Operation: 56+124=180, Resulting Numbers: [180]
180,47 unequal: No Solution
Moving to Node #0,0,3
Current State: 47:[80, 100], Operations: ['34+22=56', '44+56=100']
Exploring Operation: 100-80=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 80+100=180, Resulting Numbers: [180]
180,47 unequal: No Solution
Exploring Operation: 80*100=8000, Resulting Numbers: [8000]
8000,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 47:[34, 22, 36], Operations: ['80-44=36']
Exploring Operation: 34+22=56, Resulting Numbers: [36, 56]
Generated Node #0,2,0: 47:[36, 56] Operation: 34+22=56
Exploring Operation: 34+36=70, Resulting Numbers: [22, 70]
Generated Node #0,2,1: 47:[22, 70] Operation: 34+36=70
Exploring Operation: 36-22=14, Resulting Numbers: [34, 14]
Generated Node #0,2,2: 47:[34, 14] Operation: 36-22=14
Exploring Operation: 22+36=58, Resulting Numbers: [34, 58]
Generated Node #0,2,3: 47:[34, 58] Operation: 22+36=58
Exploring Operation: 34-22=12, Resulting Numbers: [36, 12]
Generated Node #0,2,4: 47:[36, 12] Operation: 34-22=12
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 47:[36, 56], Operations: ['80-44=36', '34+22=56']
Exploring Operation: 56-36=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 36+56=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Exploring Operation: 36*56=2016, Resulting Numbers: [2016]
2016,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 47:[34, 58], Operations: ['80-44=36', '22+36=58']
Exploring Operation: 58-34=24, Resulting Numbers: [24]
24,47 unequal: No Solution
Exploring Operation: 34*58=1972, Resulting Numbers: [1972]
1972,47 unequal: No Solution
Exploring Operation: 34+58=92, Resulting Numbers: [92]
92,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 47:[34, 14], Operations: ['80-44=36', '36-22=14']
Exploring Operation: 34*14=476, Resulting Numbers: [476]
476,47 unequal: No Solution
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 34+14=48, Resulting Numbers: [48]
48,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 47:[36, 12], Operations: ['80-44=36', '34-22=12']
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,47 unequal: No Solution
Exploring Operation: 36*12=432, Resulting Numbers: [432]
432,47 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,47 unequal: No Solution
Exploring Operation: 36+12=48, Resulting Numbers: [48]
48,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 47:[22, 70], Operations: ['80-44=36', '34+36=70']
Exploring Operation: 22+70=92, Resulting Numbers: [92]
92,47 unequal: No Solution
Exploring Operation: 70-22=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 22*70=1540, Resulting Numbers: [1540]
1540,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 47:[34, 80, 66], Operations: ['44+22=66']
Exploring Operation: 80-66=14, Resulting Numbers: [34, 14]
Generated Node #0,4,0: 47:[34, 14] Operation: 80-66=14
Exploring Operation: 80-34=46, Resulting Numbers: [66, 46]
Generated Node #0,4,1: 47:[66, 46] Operation: 80-34=46
Exploring Operation: 34+66=100, Resulting Numbers: [80, 100]
Generated Node #0,4,2: 47:[80, 100] Operation: 34+66=100
Exploring Operation: 66-34=32, Resulting Numbers: [80, 32]
Generated Node #0,4,3: 47:[80, 32] Operation: 66-34=32
Exploring Operation: 34+80=114, Resulting Numbers: [66, 114]
Generated Node #0,4,4: 47:[66, 114] Operation: 34+80=114
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 47:[66, 46], Operations: ['44+22=66', '80-34=46']
Exploring Operation: 66-46=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 66*46=3036, Resulting Numbers: [3036]
3036,47 unequal: No Solution
Exploring Operation: 66+46=112, Resulting Numbers: [112]
112,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 47:[34, 14], Operations: ['44+22=66', '80-66=14']
Exploring Operation: 34*14=476, Resulting Numbers: [476]
476,47 unequal: No Solution
Exploring Operation: 34+14=48, Resulting Numbers: [48]
48,47 unequal: No Solution
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 47:[80, 32], Operations: ['44+22=66', '66-34=32']
Exploring Operation: 80*32=2560, Resulting Numbers: [2560]
2560,47 unequal: No Solution
Exploring Operation: 80+32=112, Resulting Numbers: [112]
112,47 unequal: No Solution
Exploring Operation: 80-32=48, Resulting Numbers: [48]
48,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 47:[80, 100], Operations: ['44+22=66', '34+66=100']
Exploring Operation: 80+100=180, Resulting Numbers: [180]
180,47 unequal: No Solution
Exploring Operation: 100-80=20, Resulting Numbers: [20]
20,47 unequal: No Solution
Exploring Operation: 80*100=8000, Resulting Numbers: [8000]
8000,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 47:[66, 114], Operations: ['44+22=66', '34+80=114']
Exploring Operation: 66+114=180, Resulting Numbers: [180]
180,47 unequal: No Solution
Exploring Operation: 66*114=7524, Resulting Numbers: [7524]
7524,47 unequal: No Solution
Exploring Operation: 114-66=48, Resulting Numbers: [48]
48,47 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
63,
98,
27,
49
] | 45 | [
"63+27=90",
"98/49=2",
"90/2=45"
] | Current State: 45:[63, 98, 27, 49], Operations: []
Exploring Operation: 63+27=90, Resulting Numbers: [98, 49, 90]
Generated Node #2: [98, 49, 90] from Operation: 63+27=90
Current State: 45:[98, 49, 90], Operations: ['63+27=90']
Exploring Operation: 98/49=2, Resulting Numbers: [90, 2]
Generated Node #3: [90, 2] from Operation: 98/49=2
Current State: 45:[90, 2], Operations: ['63+27=90', '98/49=2']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[63, 98, 27, 49], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [63, 27, 2]
Generated Node #0,0: 45:[63, 27, 2] Operation: 98/49=2
Exploring Operation: 98-63=35, Resulting Numbers: [27, 49, 35]
Generated Node #0,1: 45:[27, 49, 35] Operation: 98-63=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[27, 49, 35], Operations: ['98-63=35']
Exploring Operation: 49-35=14, Resulting Numbers: [27, 14]
Generated Node #0,1,0: 45:[27, 14] Operation: 49-35=14
Exploring Operation: 35-27=8, Resulting Numbers: [49, 8]
Generated Node #0,1,1: 45:[49, 8] Operation: 35-27=8
Moving to Node #0,1,1
Current State: 45:[49, 8], Operations: ['98-63=35', '35-27=8']
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,45 unequal: No Solution
Exploring Operation: 49+8=57, Resulting Numbers: [57]
57,45 unequal: No Solution
Moving to Node #0,1,0
Current State: 45:[27, 14], Operations: ['98-63=35', '49-35=14']
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,45 unequal: No Solution
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,45 unequal: No Solution
No 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: 45:[63, 27, 2], Operations: ['98/49=2']
Exploring Operation: 63-27=36, Resulting Numbers: [2, 36]
Generated Node #0,0,0: 45:[2, 36] Operation: 63-27=36
Exploring Operation: 27*2=54, Resulting Numbers: [63, 54]
Generated Node #0,0,1: 45:[63, 54] Operation: 27*2=54
Moving to Node #0,0,0
Current State: 45:[2, 36], Operations: ['98/49=2', '63-27=36']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,45 unequal: No Solution
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,45 unequal: No Solution
Moving to Node #0,0,1
Current State: 45:[63, 54], Operations: ['98/49=2', '27*2=54']
Exploring Operation: 63-54=9, Resulting Numbers: [9]
9,45 unequal: No Solution
Exploring Operation: 63+54=117, Resulting Numbers: [117]
117,45 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 |
[
66,
24,
89,
95
] | 15 | [
"66+24=90",
"95-89=6",
"90/6=15"
] | Current State: 15:[66, 24, 89, 95], Operations: []
Exploring Operation: 66+24=90, Resulting Numbers: [89, 95, 90]
Generated Node #2: [89, 95, 90] from Operation: 66+24=90
Current State: 15:[89, 95, 90], Operations: ['66+24=90']
Exploring Operation: 95-89=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 95-89=6
Current State: 15:[90, 6], Operations: ['66+24=90', '95-89=6']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[66, 24, 89, 95], Operations: []
Exploring Operation: 95-89=6, Resulting Numbers: [66, 24, 6]
Generated Node #0,0: 15:[66, 24, 6] Operation: 95-89=6
Exploring Operation: 89-66=23, Resulting Numbers: [24, 95, 23]
Generated Node #0,1: 15:[24, 95, 23] Operation: 89-66=23
Exploring Operation: 95-66=29, Resulting Numbers: [24, 89, 29]
Generated Node #0,2: 15:[24, 89, 29] Operation: 95-66=29
Exploring Operation: 66-24=42, Resulting Numbers: [89, 95, 42]
Generated Node #0,3: 15:[89, 95, 42] Operation: 66-24=42
Exploring Operation: 89-24=65, Resulting Numbers: [66, 95, 65]
Generated Node #0,4: 15:[66, 95, 65] Operation: 89-24=65
Moving to Node #0,0
Current State: 15:[66, 24, 6], Operations: ['95-89=6']
Exploring Operation: 24/6=4, Resulting Numbers: [66, 4]
Generated Node #0,0,0: 15:[66, 4] Operation: 24/6=4
Exploring Operation: 24-6=18, Resulting Numbers: [66, 18]
Generated Node #0,0,1: 15:[66, 18] Operation: 24-6=18
Exploring Operation: 66-24=42, Resulting Numbers: [6, 42]
Generated Node #0,0,2: 15:[6, 42] Operation: 66-24=42
Exploring Operation: 66-6=60, Resulting Numbers: [24, 60]
Generated Node #0,0,3: 15:[24, 60] Operation: 66-6=60
Exploring Operation: 66/6=11, Resulting Numbers: [24, 11]
Generated Node #0,0,4: 15:[24, 11] Operation: 66/6=11
Moving to Node #0,2
Current State: 15:[24, 89, 29], Operations: ['95-66=29']
Exploring Operation: 24+29=53, Resulting Numbers: [89, 53]
Generated Node #0,2,0: 15:[89, 53] Operation: 24+29=53
Exploring Operation: 29-24=5, Resulting Numbers: [89, 5]
Generated Node #0,2,1: 15:[89, 5] Operation: 29-24=5
Exploring Operation: 24+89=113, Resulting Numbers: [29, 113]
Generated Node #0,2,2: 15:[29, 113] Operation: 24+89=113
Exploring Operation: 89-29=60, Resulting Numbers: [24, 60]
Generated Node #0,2,3: 15:[24, 60] Operation: 89-29=60
Exploring Operation: 89-24=65, Resulting Numbers: [29, 65]
Generated Node #0,2,4: 15:[29, 65] Operation: 89-24=65
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 15:[24, 60], Operations: ['95-66=29', '89-29=60']
Exploring Operation: 24+60=84, Resulting Numbers: [84]
84,15 unequal: No Solution
Exploring Operation: 24*60=1440, Resulting Numbers: [1440]
1440,15 unequal: No Solution
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 15:[29, 65], Operations: ['95-66=29', '89-24=65']
Exploring Operation: 65-29=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 29+65=94, Resulting Numbers: [94]
94,15 unequal: No Solution
Exploring Operation: 29*65=1885, Resulting Numbers: [1885]
1885,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 15:[89, 5], Operations: ['95-66=29', '29-24=5']
Exploring Operation: 89+5=94, Resulting Numbers: [94]
94,15 unequal: No Solution
Exploring Operation: 89*5=445, Resulting Numbers: [445]
445,15 unequal: No Solution
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 15:[89, 53], Operations: ['95-66=29', '24+29=53']
Exploring Operation: 89+53=142, Resulting Numbers: [142]
142,15 unequal: No Solution
Exploring Operation: 89*53=4717, Resulting Numbers: [4717]
4717,15 unequal: No Solution
Exploring Operation: 89-53=36, Resulting Numbers: [36]
36,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 15:[29, 113], Operations: ['95-66=29', '24+89=113']
Exploring Operation: 29*113=3277, Resulting Numbers: [3277]
3277,15 unequal: No Solution
Exploring Operation: 113-29=84, Resulting Numbers: [84]
84,15 unequal: No Solution
Exploring Operation: 29+113=142, Resulting Numbers: [142]
142,15 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: 15:[24, 95, 23], Operations: ['89-66=23']
Exploring Operation: 24+95=119, Resulting Numbers: [23, 119]
Generated Node #0,1,0: 15:[23, 119] Operation: 24+95=119
Exploring Operation: 24-23=1, Resulting Numbers: [95, 1]
Generated Node #0,1,1: 15:[95, 1] Operation: 24-23=1
Exploring Operation: 95-24=71, Resulting Numbers: [23, 71]
Generated Node #0,1,2: 15:[23, 71] Operation: 95-24=71
Exploring Operation: 95-23=72, Resulting Numbers: [24, 72]
Generated Node #0,1,3: 15:[24, 72] Operation: 95-23=72
Exploring Operation: 24+23=47, Resulting Numbers: [95, 47]
Generated Node #0,1,4: 15:[95, 47] Operation: 24+23=47
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 15:[23, 71], Operations: ['89-66=23', '95-24=71']
Exploring Operation: 23*71=1633, Resulting Numbers: [1633]
1633,15 unequal: No Solution
Exploring Operation: 23+71=94, Resulting Numbers: [94]
94,15 unequal: No Solution
Exploring Operation: 71-23=48, Resulting Numbers: [48]
48,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 15:[24, 72], Operations: ['89-66=23', '95-23=72']
Exploring Operation: 72/24=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 24+72=96, Resulting Numbers: [96]
96,15 unequal: No Solution
Exploring Operation: 24*72=1728, Resulting Numbers: [1728]
1728,15 unequal: No Solution
Exploring Operation: 72-24=48, Resulting Numbers: [48]
48,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 15:[95, 1], Operations: ['89-66=23', '24-23=1']
Exploring Operation: 95+1=96, Resulting Numbers: [96]
96,15 unequal: No Solution
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,15 unequal: No Solution
Exploring Operation: 95/1=95, Resulting Numbers: [95]
95,15 unequal: No Solution
Exploring Operation: 95*1=95, Resulting Numbers: [95]
95,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[23, 119], Operations: ['89-66=23', '24+95=119']
Exploring Operation: 23+119=142, Resulting Numbers: [142]
142,15 unequal: No Solution
Exploring Operation: 23*119=2737, Resulting Numbers: [2737]
2737,15 unequal: No Solution
Exploring Operation: 119-23=96, Resulting Numbers: [96]
96,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 15:[95, 47], Operations: ['89-66=23', '24+23=47']
Exploring Operation: 95-47=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 95+47=142, Resulting Numbers: [142]
142,15 unequal: No Solution
Exploring Operation: 95*47=4465, Resulting Numbers: [4465]
4465,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 15:[89, 95, 42], Operations: ['66-24=42']
Exploring Operation: 95-89=6, Resulting Numbers: [42, 6]
Generated Node #0,3,0: 15:[42, 6] Operation: 95-89=6
Exploring Operation: 89-42=47, Resulting Numbers: [95, 47]
Generated Node #0,3,1: 15:[95, 47] Operation: 89-42=47
Exploring Operation: 89+95=184, Resulting Numbers: [42, 184]
Generated Node #0,3,2: 15:[42, 184] Operation: 89+95=184
Exploring Operation: 95-42=53, Resulting Numbers: [89, 53]
Generated Node #0,3,3: 15:[89, 53] Operation: 95-42=53
Exploring Operation: 89+42=131, Resulting Numbers: [95, 131]
Generated Node #0,3,4: 15:[95, 131] Operation: 89+42=131
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 15:[42, 6], Operations: ['66-24=42', '95-89=6']
Exploring Operation: 42+6=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 42*6=252, Resulting Numbers: [252]
252,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 15:[95, 47], Operations: ['66-24=42', '89-42=47']
Exploring Operation: 95-47=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 95+47=142, Resulting Numbers: [142]
142,15 unequal: No Solution
Exploring Operation: 95*47=4465, Resulting Numbers: [4465]
4465,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 15:[89, 53], Operations: ['66-24=42', '95-42=53']
Exploring Operation: 89+53=142, Resulting Numbers: [142]
142,15 unequal: No Solution
Exploring Operation: 89-53=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 89*53=4717, Resulting Numbers: [4717]
4717,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 15:[42, 184], Operations: ['66-24=42', '89+95=184']
Exploring Operation: 184-42=142, Resulting Numbers: [142]
142,15 unequal: No Solution
Exploring Operation: 42+184=226, Resulting Numbers: [226]
226,15 unequal: No Solution
Exploring Operation: 42*184=7728, Resulting Numbers: [7728]
7728,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 15:[95, 131], Operations: ['66-24=42', '89+42=131']
Exploring Operation: 95*131=12445, Resulting Numbers: [12445]
12445,15 unequal: No Solution
Exploring Operation: 95+131=226, Resulting Numbers: [226]
226,15 unequal: No Solution
Exploring Operation: 131-95=36, Resulting Numbers: [36]
36,15 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: 15:[66, 95, 65], Operations: ['89-24=65']
Exploring Operation: 66+65=131, Resulting Numbers: [95, 131]
Generated Node #0,4,0: 15:[95, 131] Operation: 66+65=131
Exploring Operation: 66+95=161, Resulting Numbers: [65, 161]
Generated Node #0,4,1: 15:[65, 161] Operation: 66+95=161
Exploring Operation: 66-65=1, Resulting Numbers: [95, 1]
Generated Node #0,4,2: 15:[95, 1] Operation: 66-65=1
Exploring Operation: 95-65=30, Resulting Numbers: [66, 30]
Generated Node #0,4,3: 15:[66, 30] Operation: 95-65=30
Exploring Operation: 95-66=29, Resulting Numbers: [65, 29]
Generated Node #0,4,4: 15:[65, 29] Operation: 95-66=29
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 15:[65, 29], Operations: ['89-24=65', '95-66=29']
Exploring Operation: 65+29=94, Resulting Numbers: [94]
94,15 unequal: No Solution
Exploring Operation: 65*29=1885, Resulting Numbers: [1885]
1885,15 unequal: No Solution
Exploring Operation: 65-29=36, Resulting Numbers: [36]
36,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 15:[66, 30], Operations: ['89-24=65', '95-65=30']
Exploring Operation: 66*30=1980, Resulting Numbers: [1980]
1980,15 unequal: No Solution
Exploring Operation: 66-30=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 66+30=96, Resulting Numbers: [96]
96,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 15:[95, 1], Operations: ['89-24=65', '66-65=1']
Exploring Operation: 95/1=95, Resulting Numbers: [95]
95,15 unequal: No Solution
Exploring Operation: 95*1=95, Resulting Numbers: [95]
95,15 unequal: No Solution
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,15 unequal: No Solution
Exploring Operation: 95+1=96, Resulting Numbers: [96]
96,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 15:[95, 131], Operations: ['89-24=65', '66+65=131']
Exploring Operation: 131-95=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 95*131=12445, Resulting Numbers: [12445]
12445,15 unequal: No Solution
Exploring Operation: 95+131=226, Resulting Numbers: [226]
226,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 15:[65, 161], Operations: ['89-24=65', '66+95=161']
Exploring Operation: 65*161=10465, Resulting Numbers: [10465]
10465,15 unequal: No Solution
Exploring Operation: 65+161=226, Resulting Numbers: [226]
226,15 unequal: No Solution
Exploring Operation: 161-65=96, Resulting Numbers: [96]
96,15 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: 15:[24, 11], Operations: ['95-89=6', '66/6=11']
Exploring Operation: 24+11=35, Resulting Numbers: [35]
35,15 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Exploring Operation: 24*11=264, Resulting Numbers: [264]
264,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[6, 42], Operations: ['95-89=6', '66-24=42']
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 6*42=252, Resulting Numbers: [252]
252,15 unequal: No Solution
Exploring Operation: 6+42=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[66, 4], Operations: ['95-89=6', '24/6=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,15 unequal: No Solution
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,15 unequal: No Solution
Exploring Operation: 66*4=264, Resulting Numbers: [264]
264,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[66, 18], Operations: ['95-89=6', '24-6=18']
Exploring Operation: 66*18=1188, Resulting Numbers: [1188]
1188,15 unequal: No Solution
Exploring Operation: 66-18=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 66+18=84, Resulting Numbers: [84]
84,15 unequal: No Solution
Moving to Node #0,0,3
Current State: 15:[24, 60], Operations: ['95-89=6', '66-6=60']
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,15 unequal: No Solution
Exploring Operation: 24*60=1440, Resulting Numbers: [1440]
1440,15 unequal: No Solution
Exploring Operation: 24+60=84, Resulting Numbers: [84]
84,15 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
20,
4,
76,
92
] | 80 | [
"20/4=5",
"92-76=16",
"5*16=80"
] | Current State: 80:[20, 4, 76, 92], Operations: []
Exploring Operation: 20/4=5, Resulting Numbers: [76, 92, 5]
Generated Node #2: [76, 92, 5] from Operation: 20/4=5
Current State: 80:[76, 92, 5], Operations: ['20/4=5']
Exploring Operation: 92-76=16, Resulting Numbers: [5, 16]
Generated Node #3: [5, 16] from Operation: 92-76=16
Current State: 80:[5, 16], Operations: ['20/4=5', '92-76=16']
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[20, 4, 76, 92], Operations: []
Exploring Operation: 92-20=72, Resulting Numbers: [4, 76, 72]
Generated Node #0,0: 80:[4, 76, 72] Operation: 92-20=72
Exploring Operation: 92-4=88, Resulting Numbers: [20, 76, 88]
Generated Node #0,1: 80:[20, 76, 88] Operation: 92-4=88
Exploring Operation: 92/4=23, Resulting Numbers: [20, 76, 23]
Generated Node #0,2: 80:[20, 76, 23] Operation: 92/4=23
Exploring Operation: 4+76=80, Resulting Numbers: [20, 92, 80]
Generated Node #0,3: 80:[20, 92, 80] Operation: 4+76=80
Exploring Operation: 92-76=16, Resulting Numbers: [20, 4, 16]
Generated Node #0,4: 80:[20, 4, 16] Operation: 92-76=16
Start Sub Search at level 1: Moving to Node #0,4
Current State: 80:[20, 4, 16], Operations: ['92-76=16']
Exploring Operation: 20/4=5, Resulting Numbers: [16, 5]
Generated Node #0,4,0: 80:[16, 5] Operation: 20/4=5
Exploring Operation: 20-4=16, Resulting Numbers: [16, 16]
Generated Node #0,4,1: 80:[16, 16] Operation: 20-4=16
Exploring Operation: 20-16=4, Resulting Numbers: [4, 4]
Generated Node #0,4,2: 80:[4, 4] Operation: 20-16=4
Exploring Operation: 20*4=80, Resulting Numbers: [16, 80]
Generated Node #0,4,3: 80:[16, 80] Operation: 20*4=80
Exploring Operation: 4+16=20, Resulting Numbers: [20, 20]
Generated Node #0,4,4: 80:[20, 20] Operation: 4+16=20
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 80:[16, 5], Operations: ['92-76=16', '20/4=5']
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,80 unequal: No Solution
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[20, 4, 76, 92], Operations: []
Exploring Operation: 92-76=16, Resulting Numbers: [20, 4, 16]
Generated Node #0,4: 80:[20, 4, 16] Operation: 92-76=16
Moving to Node #0,4
Current State: 80:[20, 4, 16], Operations: ['92-76=16']
Exploring Operation: 20/4=5, Resulting Numbers: [16, 5]
Generated Node #0,4,0: 80:[16, 5] Operation: 20/4=5
Moving to Node #0,4,0
Current State: 80:[16, 5], Operations: ['92-76=16', '20/4=5']
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
23,
12,
3,
44
] | 36 | [
"23-12=11",
"3+44=47",
"47-11=36"
] | Current State: 36:[23, 12, 3, 44], Operations: []
Exploring Operation: 23-12=11, Resulting Numbers: [3, 44, 11]
Generated Node #2: [3, 44, 11] from Operation: 23-12=11
Current State: 36:[3, 44, 11], Operations: ['23-12=11']
Exploring Operation: 3+44=47, Resulting Numbers: [11, 47]
Generated Node #3: [11, 47] from Operation: 3+44=47
Current State: 36:[11, 47], Operations: ['23-12=11', '3+44=47']
Exploring Operation: 47-11=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[23, 12, 3, 44], Operations: []
Exploring Operation: 44-12=32, Resulting Numbers: [23, 3, 32]
Generated Node #0,0: 36:[23, 3, 32] Operation: 44-12=32
Exploring Operation: 23+12=35, Resulting Numbers: [3, 44, 35]
Generated Node #0,1: 36:[3, 44, 35] Operation: 23+12=35
Exploring Operation: 23-12=11, Resulting Numbers: [3, 44, 11]
Generated Node #0,2: 36:[3, 44, 11] Operation: 23-12=11
Exploring Operation: 44-23=21, Resulting Numbers: [12, 3, 21]
Generated Node #0,3: 36:[12, 3, 21] Operation: 44-23=21
Moving to Node #0,3
Current State: 36:[12, 3, 21], Operations: ['44-23=21']
Exploring Operation: 21-3=18, Resulting Numbers: [12, 18]
Generated Node #0,3,0: 36:[12, 18] Operation: 21-3=18
Exploring Operation: 21-12=9, Resulting Numbers: [3, 9]
Generated Node #0,3,1: 36:[3, 9] Operation: 21-12=9
Exploring Operation: 21/3=7, Resulting Numbers: [12, 7]
Generated Node #0,3,2: 36:[12, 7] Operation: 21/3=7
Exploring Operation: 12*3=36, Resulting Numbers: [21, 36]
Generated Node #0,3,3: 36:[21, 36] Operation: 12*3=36
Moving to Node #0,1
Current State: 36:[3, 44, 35], Operations: ['23+12=35']
Exploring Operation: 3+44=47, Resulting Numbers: [35, 47]
Generated Node #0,1,0: 36:[35, 47] Operation: 3+44=47
Exploring Operation: 3+35=38, Resulting Numbers: [44, 38]
Generated Node #0,1,1: 36:[44, 38] Operation: 3+35=38
Exploring Operation: 44-3=41, Resulting Numbers: [35, 41]
Generated Node #0,1,2: 36:[35, 41] Operation: 44-3=41
Exploring Operation: 44-35=9, Resulting Numbers: [3, 9]
Generated Node #0,1,3: 36:[3, 9] Operation: 44-35=9
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 36:[3, 9], Operations: ['23+12=35', '44-35=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,36 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 36:[35, 41], Operations: ['23+12=35', '44-3=41']
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 35*41=1435, Resulting Numbers: [1435]
1435,36 unequal: No Solution
Exploring Operation: 35+41=76, Resulting Numbers: [76]
76,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 36:[44, 38], Operations: ['23+12=35', '3+35=38']
Exploring Operation: 44-38=6, Resulting Numbers: [6]
6,36 unequal: No Solution
Exploring Operation: 44*38=1672, Resulting Numbers: [1672]
1672,36 unequal: No Solution
Exploring Operation: 44+38=82, Resulting Numbers: [82]
82,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 36:[35, 47], Operations: ['23+12=35', '3+44=47']
Exploring Operation: 47-35=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Exploring Operation: 35*47=1645, Resulting Numbers: [1645]
1645,36 unequal: No Solution
Exploring Operation: 35+47=82, Resulting Numbers: [82]
82,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 36:[23, 3, 32], Operations: ['44-12=32']
Exploring Operation: 3+32=35, Resulting Numbers: [23, 35]
Generated Node #0,0,0: 36:[23, 35] Operation: 3+32=35
Exploring Operation: 23-3=20, Resulting Numbers: [32, 20]
Generated Node #0,0,1: 36:[32, 20] Operation: 23-3=20
Exploring Operation: 23+3=26, Resulting Numbers: [32, 26]
Generated Node #0,0,2: 36:[32, 26] Operation: 23+3=26
Exploring Operation: 32-23=9, Resulting Numbers: [3, 9]
Generated Node #0,0,3: 36:[3, 9] Operation: 32-23=9
Moving to Node #0,2
Current State: 36:[3, 44, 11], Operations: ['23-12=11']
Exploring Operation: 44-11=33, Resulting Numbers: [3, 33]
Generated Node #0,2,0: 36:[3, 33] Operation: 44-11=33
Exploring Operation: 44-3=41, Resulting Numbers: [11, 41]
Generated Node #0,2,1: 36:[11, 41] Operation: 44-3=41
Exploring Operation: 44/11=4, Resulting Numbers: [3, 4]
Generated Node #0,2,2: 36:[3, 4] Operation: 44/11=4
Exploring Operation: 11-3=8, Resulting Numbers: [44, 8]
Generated Node #0,2,3: 36:[44, 8] Operation: 11-3=8
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 36:[3, 4], Operations: ['23-12=11', '44/11=4']
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 36:[3, 33], Operations: ['23-12=11', '44-11=33']
Exploring Operation: 3*33=99, Resulting Numbers: [99]
99,36 unequal: No Solution
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[23, 12, 3, 44], Operations: []
Exploring Operation: 23-12=11, Resulting Numbers: [3, 44, 11]
Generated Node #0,2: 36:[3, 44, 11] Operation: 23-12=11
Moving to Node #0,2
Current State: 36:[3, 44, 11], Operations: ['23-12=11']
Exploring Operation: 44-11=33, Resulting Numbers: [3, 33]
Generated Node #0,2,0: 36:[3, 33] Operation: 44-11=33
Moving to Node #0,2,0
Current State: 36:[3, 33], Operations: ['23-12=11', '44-11=33']
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_4 | mult_heuristic |
[
36,
52,
26,
10
] | 16 | [
"52/26=2",
"10*2=20",
"36-20=16"
] | Current State: 16:[36, 52, 26, 10], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [36, 10, 2]
Generated Node #2: [36, 10, 2] from Operation: 52/26=2
Current State: 16:[36, 10, 2], Operations: ['52/26=2']
Exploring Operation: 10*2=20, Resulting Numbers: [36, 20]
Generated Node #3: [36, 20] from Operation: 10*2=20
Current State: 16:[36, 20], Operations: ['52/26=2', '10*2=20']
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[36, 52, 26, 10], Operations: []
Exploring Operation: 36-10=26, Resulting Numbers: [52, 26, 26]
Generated Node #0,0: 16:[52, 26, 26] Operation: 36-10=26
Exploring Operation: 52-26=26, Resulting Numbers: [36, 10, 26]
Generated Node #0,1: 16:[36, 10, 26] Operation: 52-26=26
Exploring Operation: 52/26=2, Resulting Numbers: [36, 10, 2]
Generated Node #0,2: 16:[36, 10, 2] Operation: 52/26=2
Exploring Operation: 36-26=10, Resulting Numbers: [52, 10, 10]
Generated Node #0,3: 16:[52, 10, 10] Operation: 36-26=10
Exploring Operation: 52-36=16, Resulting Numbers: [26, 10, 16]
Generated Node #0,4: 16:[26, 10, 16] Operation: 52-36=16
Moving to Node #0,4
Current State: 16:[26, 10, 16], Operations: ['52-36=16']
Exploring Operation: 26-10=16, Resulting Numbers: [16, 16]
Generated Node #0,4,0: 16:[16, 16] Operation: 26-10=16
Exploring Operation: 10+16=26, Resulting Numbers: [26, 26]
Generated Node #0,4,1: 16:[26, 26] Operation: 10+16=26
Exploring Operation: 26-16=10, Resulting Numbers: [10, 10]
Generated Node #0,4,2: 16:[10, 10] Operation: 26-16=10
Exploring Operation: 26+10=36, Resulting Numbers: [16, 36]
Generated Node #0,4,3: 16:[16, 36] Operation: 26+10=36
Exploring Operation: 16-10=6, Resulting Numbers: [26, 6]
Generated Node #0,4,4: 16:[26, 6] Operation: 16-10=6
Moving to Node #0,2
Current State: 16:[36, 10, 2], Operations: ['52/26=2']
Exploring Operation: 10-2=8, Resulting Numbers: [36, 8]
Generated Node #0,2,0: 16:[36, 8] Operation: 10-2=8
Exploring Operation: 36/2=18, Resulting Numbers: [10, 18]
Generated Node #0,2,1: 16:[10, 18] Operation: 36/2=18
Exploring Operation: 36-10=26, Resulting Numbers: [2, 26]
Generated Node #0,2,2: 16:[2, 26] Operation: 36-10=26
Exploring Operation: 36-2=34, Resulting Numbers: [10, 34]
Generated Node #0,2,3: 16:[10, 34] Operation: 36-2=34
Exploring Operation: 10/2=5, Resulting Numbers: [36, 5]
Generated Node #0,2,4: 16:[36, 5] Operation: 10/2=5
Moving to Node #0,1
Current State: 16:[36, 10, 26], Operations: ['52-26=26']
Exploring Operation: 36+10=46, Resulting Numbers: [26, 46]
Generated Node #0,1,0: 16:[26, 46] Operation: 36+10=46
Exploring Operation: 10+26=36, Resulting Numbers: [36, 36]
Generated Node #0,1,1: 16:[36, 36] Operation: 10+26=36
Exploring Operation: 36-26=10, Resulting Numbers: [10, 10]
Generated Node #0,1,2: 16:[10, 10] Operation: 36-26=10
Exploring Operation: 26-10=16, Resulting Numbers: [36, 16]
Generated Node #0,1,3: 16:[36, 16] Operation: 26-10=16
Exploring Operation: 36-10=26, Resulting Numbers: [26, 26]
Generated Node #0,1,4: 16:[26, 26] Operation: 36-10=26
Moving to Node #0,3
Current State: 16:[52, 10, 10], Operations: ['36-26=10']
Exploring Operation: 52-10=42, Resulting Numbers: [10, 42]
Generated Node #0,3,0: 16:[10, 42] Operation: 52-10=42
Exploring Operation: 10+10=20, Resulting Numbers: [52, 20]
Generated Node #0,3,1: 16:[52, 20] Operation: 10+10=20
Exploring Operation: 10/10=1, Resulting Numbers: [52, 1]
Generated Node #0,3,2: 16:[52, 1] Operation: 10/10=1
Exploring Operation: 10-10=0, Resulting Numbers: [52, 0]
Generated Node #0,3,3: 16:[52, 0] Operation: 10-10=0
Exploring Operation: 52-10=42, Resulting Numbers: [10, 42]
Generated Node #0,3,4: 16:[10, 42] Operation: 52-10=42
Moving to Node #0,0
Current State: 16:[52, 26, 26], Operations: ['36-10=26']
Exploring Operation: 26/26=1, Resulting Numbers: [52, 1]
Generated Node #0,0,0: 16:[52, 1] Operation: 26/26=1
Exploring Operation: 52/26=2, Resulting Numbers: [26, 2]
Generated Node #0,0,1: 16:[26, 2] Operation: 52/26=2
Exploring Operation: 52-26=26, Resulting Numbers: [26, 26]
Generated Node #0,0,2: 16:[26, 26] Operation: 52-26=26
Exploring Operation: 52-26=26, Resulting Numbers: [26, 26]
Generated Node #0,0,3: 16:[26, 26] Operation: 52-26=26
Exploring Operation: 52/26=2, Resulting Numbers: [26, 2]
Generated Node #0,0,4: 16:[26, 2] Operation: 52/26=2
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 16:[26, 2], Operations: ['36-10=26', '52/26=2']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,16 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 #0,0,4
Current State: 16:[26, 2], Operations: ['36-10=26', '52/26=2']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,16 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 #0,0,2
Current State: 16:[26, 26], Operations: ['36-10=26', '52-26=26']
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,16 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 #0,0,3
Current State: 16:[26, 26], Operations: ['36-10=26', '52-26=26']
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,16 unequal: No Solution
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,16 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 #0,0,0
Current State: 16:[52, 1], Operations: ['36-10=26', '26/26=1']
Exploring Operation: 52+1=53, Resulting Numbers: [53]
53,16 unequal: No Solution
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,16 unequal: No Solution
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,0
Current State: 16:[16, 16], Operations: ['52-36=16', '26-10=16']
Exploring Operation: 16-16=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Exploring Operation: 16/16=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 16*16=256, Resulting Numbers: [256]
256,16 unequal: No Solution
Exploring Operation: 16+16=32, Resulting Numbers: [32]
32,16 unequal: No Solution
Moving to Node #0,2,1
Current State: 16:[10, 18], Operations: ['52/26=2', '36/2=18']
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,16 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Moving to Node #0,4,2
Current State: 16:[10, 10], Operations: ['52-36=16', '26-16=10']
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,16 unequal: No Solution
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Moving to Node #0,1,2
Current State: 16:[10, 10], Operations: ['52-26=26', '36-26=10']
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,16 unequal: No Solution
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Moving to Node #0,2,2
Current State: 16:[2, 26], Operations: ['52/26=2', '36-10=26']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,16 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Moving to Node #0,4,4
Current State: 16:[26, 6], Operations: ['52-36=16', '16-10=6']
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,16 unequal: No Solution
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,16 unequal: No Solution
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Moving to Node #0,1,4
Current State: 16:[26, 26], Operations: ['52-26=26', '36-10=26']
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,16 unequal: No Solution
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Moving to Node #0,1,3
Current State: 16:[36, 16], Operations: ['52-26=26', '26-10=16']
Exploring Operation: 36*16=576, Resulting Numbers: [576]
576,16 unequal: No Solution
Exploring Operation: 36+16=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Moving to Node #0,4,3
Current State: 16:[16, 36], Operations: ['52-36=16', '26+10=36']
Exploring Operation: 16*36=576, Resulting Numbers: [576]
576,16 unequal: No Solution
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 16+36=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Moving to Node #0,4,1
Current State: 16:[26, 26], Operations: ['52-36=16', '10+16=26']
Exploring Operation: 26/26=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 26-26=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Exploring Operation: 26+26=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 26*26=676, Resulting Numbers: [676]
676,16 unequal: No Solution
Moving to Node #0,2,3
Current State: 16:[10, 34], Operations: ['52/26=2', '36-2=34']
Exploring Operation: 10+34=44, Resulting Numbers: [44]
44,16 unequal: No Solution
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 10*34=340, Resulting Numbers: [340]
340,16 unequal: No Solution
Moving to Node #0,2,0
Current State: 16:[36, 8], Operations: ['52/26=2', '10-2=8']
Exploring Operation: 36+8=44, Resulting Numbers: [44]
44,16 unequal: No Solution
Exploring Operation: 36*8=288, Resulting Numbers: [288]
288,16 unequal: No Solution
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Moving to Node #0,2,4
Current State: 16:[36, 5], Operations: ['52/26=2', '10/2=5']
Exploring Operation: 36-5=31, Resulting Numbers: [31]
31,16 unequal: No Solution
Exploring Operation: 36*5=180, Resulting Numbers: [180]
180,16 unequal: No Solution
Exploring Operation: 36+5=41, Resulting Numbers: [41]
41,16 unequal: No Solution
Moving to Node #0,3,4
Current State: 16:[10, 42], Operations: ['36-26=10', '52-10=42']
Exploring Operation: 10+42=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,16 unequal: No Solution
Exploring Operation: 10*42=420, Resulting Numbers: [420]
420,16 unequal: No Solution
Moving to Node #0,3,0
Current State: 16:[10, 42], Operations: ['36-26=10', '52-10=42']
Exploring Operation: 10*42=420, Resulting Numbers: [420]
420,16 unequal: No Solution
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,16 unequal: No Solution
Exploring Operation: 10+42=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Moving to Node #0,3,2
Current State: 16:[52, 1], Operations: ['36-26=10', '10/10=1']
Exploring Operation: 52/1=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 52+1=53, Resulting Numbers: [53]
53,16 unequal: No Solution
Exploring Operation: 52-1=51, Resulting Numbers: [51]
51,16 unequal: No Solution
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Moving to Node #0,3,3
Current State: 16:[52, 0], Operations: ['36-26=10', '10-10=0']
Exploring Operation: 52+0=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Exploring Operation: 52*0=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Exploring Operation: 52-0=52, Resulting Numbers: [52]
52,16 unequal: No Solution
Moving to Node #0,1,0
Current State: 16:[26, 46], Operations: ['52-26=26', '36+10=46']
Exploring Operation: 26+46=72, Resulting Numbers: [72]
72,16 unequal: No Solution
Exploring Operation: 46-26=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 26*46=1196, Resulting Numbers: [1196]
1196,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[36, 36], Operations: ['52-26=26', '10+26=36']
Exploring Operation: 36*36=1296, Resulting Numbers: [1296]
1296,16 unequal: No Solution
Exploring Operation: 36+36=72, Resulting Numbers: [72]
72,16 unequal: No Solution
Exploring Operation: 36/36=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Exploring Operation: 36-36=0, Resulting Numbers: [0]
0,16 unequal: No Solution
Moving to Node #0,3,1
Current State: 16:[52, 20], Operations: ['36-26=10', '10+10=20']
Exploring Operation: 52+20=72, Resulting Numbers: [72]
72,16 unequal: No Solution
Exploring Operation: 52-20=32, Resulting Numbers: [32]
32,16 unequal: No Solution
Exploring Operation: 52*20=1040, Resulting Numbers: [1040]
1040,16 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
53,
28,
16,
50
] | 76 | [
"53-50=3",
"16*3=48",
"28+48=76"
] | Current State: 76:[53, 28, 16, 50], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [28, 16, 3]
Generated Node #2: [28, 16, 3] from Operation: 53-50=3
Current State: 76:[28, 16, 3], Operations: ['53-50=3']
Exploring Operation: 16*3=48, Resulting Numbers: [28, 48]
Generated Node #3: [28, 48] from Operation: 16*3=48
Current State: 76:[28, 48], Operations: ['53-50=3', '16*3=48']
Exploring Operation: 28+48=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[53, 28, 16, 50], Operations: []
Exploring Operation: 53+28=81, Resulting Numbers: [16, 50, 81]
Generated Node #0,0: 76:[16, 50, 81] Operation: 53+28=81
Exploring Operation: 53-50=3, Resulting Numbers: [28, 16, 3]
Generated Node #0,1: 76:[28, 16, 3] Operation: 53-50=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[28, 16, 3], Operations: ['53-50=3']
Exploring Operation: 28-16=12, Resulting Numbers: [3, 12]
Generated Node #0,1,0: 76:[3, 12] Operation: 28-16=12
Exploring Operation: 28+16=44, Resulting Numbers: [3, 44]
Generated Node #0,1,1: 76:[3, 44] Operation: 28+16=44
Moving to Node #0,1,1
Current State: 76:[3, 44], Operations: ['53-50=3', '28+16=44']
Exploring Operation: 3+44=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[3, 12], Operations: ['53-50=3', '28-16=12']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[16, 50, 81], Operations: ['53+28=81']
Exploring Operation: 50-16=34, Resulting Numbers: [81, 34]
Generated Node #0,0,0: 76:[81, 34] Operation: 50-16=34
Exploring Operation: 81-50=31, Resulting Numbers: [16, 31]
Generated Node #0,0,1: 76:[16, 31] Operation: 81-50=31
Moving to Node #0,0,0
Current State: 76:[81, 34], Operations: ['53+28=81', '50-16=34']
Exploring Operation: 81+34=115, Resulting Numbers: [115]
115,76 unequal: No Solution
Exploring Operation: 81-34=47, Resulting Numbers: [47]
47,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[16, 31], Operations: ['53+28=81', '81-50=31']
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 16+31=47, Resulting Numbers: [47]
47,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
2,
33,
25,
80
] | 48 | [
"80/2=40",
"33-25=8",
"40+8=48"
] | Current State: 48:[2, 33, 25, 80], Operations: []
Exploring Operation: 80/2=40, Resulting Numbers: [33, 25, 40]
Generated Node #2: [33, 25, 40] from Operation: 80/2=40
Current State: 48:[33, 25, 40], Operations: ['80/2=40']
Exploring Operation: 33-25=8, Resulting Numbers: [40, 8]
Generated Node #3: [40, 8] from Operation: 33-25=8
Current State: 48:[40, 8], Operations: ['80/2=40', '33-25=8']
Exploring Operation: 40+8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[2, 33, 25, 80], Operations: []
Exploring Operation: 33-25=8, Resulting Numbers: [2, 80, 8]
Generated Node #0,0: 48:[2, 80, 8] Operation: 33-25=8
Exploring Operation: 80-25=55, Resulting Numbers: [2, 33, 55]
Generated Node #0,1: 48:[2, 33, 55] Operation: 80-25=55
Exploring Operation: 80/2=40, Resulting Numbers: [33, 25, 40]
Generated Node #0,2: 48:[33, 25, 40] Operation: 80/2=40
Exploring Operation: 80-33=47, Resulting Numbers: [2, 25, 47]
Generated Node #0,3: 48:[2, 25, 47] Operation: 80-33=47
Moving to Node #0,3
Current State: 48:[2, 25, 47], Operations: ['80-33=47']
Exploring Operation: 2+47=49, Resulting Numbers: [25, 49]
Generated Node #0,3,0: 48:[25, 49] Operation: 2+47=49
Exploring Operation: 2*25=50, Resulting Numbers: [47, 50]
Generated Node #0,3,1: 48:[47, 50] Operation: 2*25=50
Exploring Operation: 25-2=23, Resulting Numbers: [47, 23]
Generated Node #0,3,2: 48:[47, 23] Operation: 25-2=23
Exploring Operation: 47-25=22, Resulting Numbers: [2, 22]
Generated Node #0,3,3: 48:[2, 22] Operation: 47-25=22
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 48:[25, 49], Operations: ['80-33=47', '2+47=49']
Exploring Operation: 25*49=1225, Resulting Numbers: [1225]
1225,48 unequal: No Solution
Exploring Operation: 49-25=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Exploring Operation: 25+49=74, Resulting Numbers: [74]
74,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 48:[47, 23], Operations: ['80-33=47', '25-2=23']
Exploring Operation: 47*23=1081, Resulting Numbers: [1081]
1081,48 unequal: No Solution
Exploring Operation: 47-23=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Exploring Operation: 47+23=70, Resulting Numbers: [70]
70,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 48:[2, 22], Operations: ['80-33=47', '47-25=22']
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,48 unequal: No Solution
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 48:[47, 50], Operations: ['80-33=47', '2*25=50']
Exploring Operation: 50-47=3, Resulting Numbers: [3]
3,48 unequal: No Solution
Exploring Operation: 47+50=97, Resulting Numbers: [97]
97,48 unequal: No Solution
Exploring Operation: 47*50=2350, Resulting Numbers: [2350]
2350,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 48:[2, 33, 55], Operations: ['80-25=55']
Exploring Operation: 33-2=31, Resulting Numbers: [55, 31]
Generated Node #0,1,0: 48:[55, 31] Operation: 33-2=31
Exploring Operation: 55-2=53, Resulting Numbers: [33, 53]
Generated Node #0,1,1: 48:[33, 53] Operation: 55-2=53
Exploring Operation: 2+33=35, Resulting Numbers: [55, 35]
Generated Node #0,1,2: 48:[55, 35] Operation: 2+33=35
Exploring Operation: 55-33=22, Resulting Numbers: [2, 22]
Generated Node #0,1,3: 48:[2, 22] Operation: 55-33=22
Moving to Node #0,2
Current State: 48:[33, 25, 40], Operations: ['80/2=40']
Exploring Operation: 33+25=58, Resulting Numbers: [40, 58]
Generated Node #0,2,0: 48:[40, 58] Operation: 33+25=58
Exploring Operation: 40-25=15, Resulting Numbers: [33, 15]
Generated Node #0,2,1: 48:[33, 15] Operation: 40-25=15
Exploring Operation: 40-33=7, Resulting Numbers: [25, 7]
Generated Node #0,2,2: 48:[25, 7] Operation: 40-33=7
Exploring Operation: 33-25=8, Resulting Numbers: [40, 8]
Generated Node #0,2,3: 48:[40, 8] Operation: 33-25=8
Moving to Node #0,0
Current State: 48:[2, 80, 8], Operations: ['33-25=8']
Exploring Operation: 80/2=40, Resulting Numbers: [8, 40]
Generated Node #0,0,0: 48:[8, 40] Operation: 80/2=40
Exploring Operation: 80-8=72, Resulting Numbers: [2, 72]
Generated Node #0,0,1: 48:[2, 72] Operation: 80-8=72
Exploring Operation: 80/8=10, Resulting Numbers: [2, 10]
Generated Node #0,0,2: 48:[2, 10] Operation: 80/8=10
Exploring Operation: 80-2=78, Resulting Numbers: [8, 78]
Generated Node #0,0,3: 48:[8, 78] Operation: 80-2=78
Moving to Node #0,1,3
Current State: 48:[2, 22], Operations: ['80-25=55', '55-33=22']
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,48 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,48 unequal: No Solution
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,48 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,48 unequal: No Solution
Moving to Node #0,2,2
Current State: 48:[25, 7], Operations: ['80/2=40', '40-33=7']
Exploring Operation: 25+7=32, Resulting Numbers: [32]
32,48 unequal: No Solution
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,48 unequal: No Solution
Exploring Operation: 25*7=175, Resulting Numbers: [175]
175,48 unequal: No Solution
Moving to Node #0,0,2
Current State: 48:[2, 10], Operations: ['33-25=8', '80/8=10']
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,48 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,48 unequal: No Solution
Moving to Node #0,2,3
Current State: 48:[40, 8], Operations: ['80/2=40', '33-25=8']
Exploring Operation: 40-8=32, Resulting Numbers: [32]
32,48 unequal: No Solution
Exploring Operation: 40/8=5, Resulting Numbers: [5]
5,48 unequal: No Solution
Exploring Operation: 40*8=320, Resulting Numbers: [320]
320,48 unequal: No Solution
Exploring Operation: 40+8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[2, 33, 25, 80], Operations: []
Exploring Operation: 80/2=40, Resulting Numbers: [33, 25, 40]
Generated Node #0,2: 48:[33, 25, 40] Operation: 80/2=40
Moving to Node #0,2
Current State: 48:[33, 25, 40], Operations: ['80/2=40']
Exploring Operation: 33-25=8, Resulting Numbers: [40, 8]
Generated Node #0,2,3: 48:[40, 8] Operation: 33-25=8
Moving to Node #0,2,3
Current State: 48:[40, 8], Operations: ['80/2=40', '33-25=8']
Exploring Operation: 40+8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 0.954861 | hs_4 | mult_heuristic |
[
3,
11,
20,
17
] | 36 | [
"3*11=33",
"20-17=3",
"33+3=36"
] | Current State: 36:[3, 11, 20, 17], Operations: []
Exploring Operation: 3*11=33, Resulting Numbers: [20, 17, 33]
Generated Node #2: [20, 17, 33] from Operation: 3*11=33
Current State: 36:[20, 17, 33], Operations: ['3*11=33']
Exploring Operation: 20-17=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 20-17=3
Current State: 36:[33, 3], Operations: ['3*11=33', '20-17=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[3, 11, 20, 17], Operations: []
Exploring Operation: 17-11=6, Resulting Numbers: [3, 20, 6]
Generated Node #0,0: 36:[3, 20, 6] Operation: 17-11=6
Exploring Operation: 20-17=3, Resulting Numbers: [3, 11, 3]
Generated Node #0,1: 36:[3, 11, 3] Operation: 20-17=3
Exploring Operation: 20-3=17, Resulting Numbers: [11, 17, 17]
Generated Node #0,2: 36:[11, 17, 17] Operation: 20-3=17
Exploring Operation: 20+17=37, Resulting Numbers: [3, 11, 37]
Generated Node #0,3: 36:[3, 11, 37] Operation: 20+17=37
Exploring Operation: 20-11=9, Resulting Numbers: [3, 17, 9]
Generated Node #0,4: 36:[3, 17, 9] Operation: 20-11=9
Moving to Node #0,1
Current State: 36:[3, 11, 3], Operations: ['20-17=3']
Exploring Operation: 11-3=8, Resulting Numbers: [3, 8]
Generated Node #0,1,0: 36:[3, 8] Operation: 11-3=8
Exploring Operation: 3+3=6, Resulting Numbers: [11, 6]
Generated Node #0,1,1: 36:[11, 6] Operation: 3+3=6
Exploring Operation: 3+11=14, Resulting Numbers: [3, 14]
Generated Node #0,1,2: 36:[3, 14] Operation: 3+11=14
Exploring Operation: 3*3=9, Resulting Numbers: [11, 9]
Generated Node #0,1,3: 36:[11, 9] Operation: 3*3=9
Exploring Operation: 11-3=8, Resulting Numbers: [3, 8]
Generated Node #0,1,4: 36:[3, 8] Operation: 11-3=8
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 36:[3, 8], Operations: ['20-17=3', '11-3=8']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,36 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 36:[11, 6], Operations: ['20-17=3', '3+3=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,36 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 36:[11, 9], Operations: ['20-17=3', '3*3=9']
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 11+9=20, Resulting Numbers: [20]
20,36 unequal: No Solution
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 36:[3, 8], Operations: ['20-17=3', '11-3=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,36 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 36:[3, 14], Operations: ['20-17=3', '3+11=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,36 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,36 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: 36:[3, 17, 9], Operations: ['20-11=9']
Exploring Operation: 9-3=6, Resulting Numbers: [17, 6]
Generated Node #0,4,0: 36:[17, 6] Operation: 9-3=6
Exploring Operation: 9/3=3, Resulting Numbers: [17, 3]
Generated Node #0,4,1: 36:[17, 3] Operation: 9/3=3
Exploring Operation: 17-9=8, Resulting Numbers: [3, 8]
Generated Node #0,4,2: 36:[3, 8] Operation: 17-9=8
Exploring Operation: 3+9=12, Resulting Numbers: [17, 12]
Generated Node #0,4,3: 36:[17, 12] Operation: 3+9=12
Exploring Operation: 3+17=20, Resulting Numbers: [9, 20]
Generated Node #0,4,4: 36:[9, 20] Operation: 3+17=20
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 36:[17, 6], Operations: ['20-11=9', '9-3=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Exploring Operation: 17*6=102, Resulting Numbers: [102]
102,36 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 36:[17, 3], Operations: ['20-11=9', '9/3=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,36 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,36 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 36:[3, 8], Operations: ['20-11=9', '17-9=8']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,36 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 36:[17, 12], Operations: ['20-11=9', '3+9=12']
Exploring Operation: 17*12=204, Resulting Numbers: [204]
204,36 unequal: No Solution
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Exploring Operation: 17+12=29, Resulting Numbers: [29]
29,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 36:[9, 20], Operations: ['20-11=9', '3+17=20']
Exploring Operation: 9+20=29, Resulting Numbers: [29]
29,36 unequal: No Solution
Exploring Operation: 9*20=180, Resulting Numbers: [180]
180,36 unequal: No Solution
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 36:[3, 20, 6], Operations: ['17-11=6']
Exploring Operation: 20-3=17, Resulting Numbers: [6, 17]
Generated Node #0,0,0: 36:[6, 17] Operation: 20-3=17
Exploring Operation: 6/3=2, Resulting Numbers: [20, 2]
Generated Node #0,0,1: 36:[20, 2] Operation: 6/3=2
Exploring Operation: 3*6=18, Resulting Numbers: [20, 18]
Generated Node #0,0,2: 36:[20, 18] Operation: 3*6=18
Exploring Operation: 3+6=9, Resulting Numbers: [20, 9]
Generated Node #0,0,3: 36:[20, 9] Operation: 3+6=9
Exploring Operation: 6-3=3, Resulting Numbers: [20, 3]
Generated Node #0,0,4: 36:[20, 3] Operation: 6-3=3
Moving to Node #0,3
Current State: 36:[3, 11, 37], Operations: ['20+17=37']
Exploring Operation: 3*11=33, Resulting Numbers: [37, 33]
Generated Node #0,3,0: 36:[37, 33] Operation: 3*11=33
Exploring Operation: 3+37=40, Resulting Numbers: [11, 40]
Generated Node #0,3,1: 36:[11, 40] Operation: 3+37=40
Exploring Operation: 11-3=8, Resulting Numbers: [37, 8]
Generated Node #0,3,2: 36:[37, 8] Operation: 11-3=8
Exploring Operation: 37-3=34, Resulting Numbers: [11, 34]
Generated Node #0,3,3: 36:[11, 34] Operation: 37-3=34
Exploring Operation: 3+11=14, Resulting Numbers: [37, 14]
Generated Node #0,3,4: 36:[37, 14] Operation: 3+11=14
Moving to Node #0,2
Current State: 36:[11, 17, 17], Operations: ['20-3=17']
Exploring Operation: 17/17=1, Resulting Numbers: [11, 1]
Generated Node #0,2,0: 36:[11, 1] Operation: 17/17=1
Exploring Operation: 17+17=34, Resulting Numbers: [11, 34]
Generated Node #0,2,1: 36:[11, 34] Operation: 17+17=34
Exploring Operation: 17-11=6, Resulting Numbers: [17, 6]
Generated Node #0,2,2: 36:[17, 6] Operation: 17-11=6
Exploring Operation: 17-11=6, Resulting Numbers: [17, 6]
Generated Node #0,2,3: 36:[17, 6] Operation: 17-11=6
Exploring Operation: 17-17=0, Resulting Numbers: [11, 0]
Generated Node #0,2,4: 36:[11, 0] Operation: 17-17=0
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 36:[17, 6], Operations: ['20-3=17', '17-11=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Exploring Operation: 17*6=102, Resulting Numbers: [102]
102,36 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 36:[17, 6], Operations: ['20-3=17', '17-11=6']
Exploring Operation: 17*6=102, Resulting Numbers: [102]
102,36 unequal: No Solution
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 36:[11, 1], Operations: ['20-3=17', '17/17=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 36:[11, 34], Operations: ['20-3=17', '17+17=34']
Exploring Operation: 11*34=374, Resulting Numbers: [374]
374,36 unequal: No Solution
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,36 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 36:[11, 0], Operations: ['20-3=17', '17-17=0']
Exploring Operation: 11+0=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 11-0=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 11*0=0, Resulting Numbers: [0]
0,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 36:[6, 17], Operations: ['17-11=6', '20-3=17']
Exploring Operation: 6*17=102, Resulting Numbers: [102]
102,36 unequal: No Solution
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Moving to Node #0,0,2
Current State: 36:[20, 18], Operations: ['17-11=6', '3*6=18']
Exploring Operation: 20*18=360, Resulting Numbers: [360]
360,36 unequal: No Solution
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,36 unequal: No Solution
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,36 unequal: No Solution
Moving to Node #0,3,2
Current State: 36:[37, 8], Operations: ['20+17=37', '11-3=8']
Exploring Operation: 37*8=296, Resulting Numbers: [296]
296,36 unequal: No Solution
Exploring Operation: 37+8=45, Resulting Numbers: [45]
45,36 unequal: No Solution
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,36 unequal: No Solution
Moving to Node #0,0,1
Current State: 36:[20, 2], Operations: ['17-11=6', '6/3=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,36 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,36 unequal: No Solution
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,36 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,36 unequal: No Solution
Moving to Node #0,0,4
Current State: 36:[20, 3], Operations: ['17-11=6', '6-3=3']
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,36 unequal: No Solution
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,36 unequal: No Solution
Moving to Node #0,0,3
Current State: 36:[20, 9], Operations: ['17-11=6', '3+6=9']
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,36 unequal: No Solution
Exploring Operation: 20+9=29, Resulting Numbers: [29]
29,36 unequal: No Solution
Exploring Operation: 20*9=180, Resulting Numbers: [180]
180,36 unequal: No Solution
Moving to Node #0,3,3
Current State: 36:[11, 34], Operations: ['20+17=37', '37-3=34']
Exploring Operation: 11+34=45, Resulting Numbers: [45]
45,36 unequal: No Solution
Exploring Operation: 34-11=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Exploring Operation: 11*34=374, Resulting Numbers: [374]
374,36 unequal: No Solution
Moving to Node #0,3,4
Current State: 36:[37, 14], Operations: ['20+17=37', '3+11=14']
Exploring Operation: 37+14=51, Resulting Numbers: [51]
51,36 unequal: No Solution
Exploring Operation: 37*14=518, Resulting Numbers: [518]
518,36 unequal: No Solution
Exploring Operation: 37-14=23, Resulting Numbers: [23]
23,36 unequal: No Solution
Moving to Node #0,3,0
Current State: 36:[37, 33], Operations: ['20+17=37', '3*11=33']
Exploring Operation: 37+33=70, Resulting Numbers: [70]
70,36 unequal: No Solution
Exploring Operation: 37-33=4, Resulting Numbers: [4]
4,36 unequal: No Solution
Exploring Operation: 37*33=1221, Resulting Numbers: [1221]
1221,36 unequal: No Solution
Moving to Node #0,3,1
Current State: 36:[11, 40], Operations: ['20+17=37', '3+37=40']
Exploring Operation: 11+40=51, Resulting Numbers: [51]
51,36 unequal: No Solution
Exploring Operation: 11*40=440, Resulting Numbers: [440]
440,36 unequal: No Solution
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,36 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
87,
37,
72,
35
] | 51 | [
"37-35=2",
"72/2=36",
"87-36=51"
] | Current State: 51:[87, 37, 72, 35], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [87, 72, 2]
Generated Node #2: [87, 72, 2] from Operation: 37-35=2
Current State: 51:[87, 72, 2], Operations: ['37-35=2']
Exploring Operation: 72/2=36, Resulting Numbers: [87, 36]
Generated Node #3: [87, 36] from Operation: 72/2=36
Current State: 51:[87, 36], Operations: ['37-35=2', '72/2=36']
Exploring Operation: 87-36=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[87, 37, 72, 35], Operations: []
Exploring Operation: 87-72=15, Resulting Numbers: [37, 35, 15]
Generated Node #0,0: 51:[37, 35, 15] Operation: 87-72=15
Moving to Node #0,0
Current State: 51:[37, 35, 15], Operations: ['87-72=15']
Exploring Operation: 37-35=2, Resulting Numbers: [15, 2]
Generated Node #0,0,0: 51:[15, 2] Operation: 37-35=2
Moving to Node #0,0,0
Current State: 51:[15, 2], Operations: ['87-72=15', '37-35=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,51 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
17,
69,
43,
42
] | 87 | [
"17+69=86",
"43-42=1",
"86+1=87"
] | Current State: 87:[17, 69, 43, 42], Operations: []
Exploring Operation: 17+69=86, Resulting Numbers: [43, 42, 86]
Generated Node #2: [43, 42, 86] from Operation: 17+69=86
Current State: 87:[43, 42, 86], Operations: ['17+69=86']
Exploring Operation: 43-42=1, Resulting Numbers: [86, 1]
Generated Node #3: [86, 1] from Operation: 43-42=1
Current State: 87:[86, 1], Operations: ['17+69=86', '43-42=1']
Exploring Operation: 86+1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[17, 69, 43, 42], Operations: []
Exploring Operation: 43+42=85, Resulting Numbers: [17, 69, 85]
Generated Node #0,0: 87:[17, 69, 85] Operation: 43+42=85
Exploring Operation: 69-43=26, Resulting Numbers: [17, 42, 26]
Generated Node #0,1: 87:[17, 42, 26] Operation: 69-43=26
Exploring Operation: 69-42=27, Resulting Numbers: [17, 43, 27]
Generated Node #0,2: 87:[17, 43, 27] Operation: 69-42=27
Exploring Operation: 17+69=86, Resulting Numbers: [43, 42, 86]
Generated Node #0,3: 87:[43, 42, 86] Operation: 17+69=86
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[17, 42, 26], Operations: ['69-43=26']
Exploring Operation: 42-17=25, Resulting Numbers: [26, 25]
Generated Node #0,1,0: 87:[26, 25] Operation: 42-17=25
Exploring Operation: 42-26=16, Resulting Numbers: [17, 16]
Generated Node #0,1,1: 87:[17, 16] Operation: 42-26=16
Exploring Operation: 26-17=9, Resulting Numbers: [42, 9]
Generated Node #0,1,2: 87:[42, 9] Operation: 26-17=9
Exploring Operation: 17+26=43, Resulting Numbers: [42, 43]
Generated Node #0,1,3: 87:[42, 43] Operation: 17+26=43
Moving to Node #0,1,0
Current State: 87:[26, 25], Operations: ['69-43=26', '42-17=25']
Exploring Operation: 26*25=650, Resulting Numbers: [650]
650,87 unequal: No Solution
Exploring Operation: 26-25=1, Resulting Numbers: [1]
1,87 unequal: No Solution
Exploring Operation: 26+25=51, Resulting Numbers: [51]
51,87 unequal: No Solution
Moving to Node #0,1,2
Current State: 87:[42, 9], Operations: ['69-43=26', '26-17=9']
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,87 unequal: No Solution
Exploring Operation: 42*9=378, Resulting Numbers: [378]
378,87 unequal: No Solution
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[17, 16], Operations: ['69-43=26', '42-26=16']
Exploring Operation: 17*16=272, Resulting Numbers: [272]
272,87 unequal: No Solution
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,87 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,87 unequal: No Solution
Moving to Node #0,1,3
Current State: 87:[42, 43], Operations: ['69-43=26', '17+26=43']
Exploring Operation: 42*43=1806, Resulting Numbers: [1806]
1806,87 unequal: No Solution
Exploring Operation: 42+43=85, Resulting Numbers: [85]
85,87 unequal: No Solution
Exploring Operation: 43-42=1, Resulting Numbers: [1]
1,87 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
Current State: 87:[17, 43, 27], Operations: ['69-42=27']
Exploring Operation: 43-27=16, Resulting Numbers: [17, 16]
Generated Node #0,2,0: 87:[17, 16] Operation: 43-27=16
Exploring Operation: 27-17=10, Resulting Numbers: [43, 10]
Generated Node #0,2,1: 87:[43, 10] Operation: 27-17=10
Exploring Operation: 43-17=26, Resulting Numbers: [27, 26]
Generated Node #0,2,2: 87:[27, 26] Operation: 43-17=26
Exploring Operation: 17+43=60, Resulting Numbers: [27, 60]
Generated Node #0,2,3: 87:[27, 60] Operation: 17+43=60
Moving to Node #0,2,2
Current State: 87:[27, 26], Operations: ['69-42=27', '43-17=26']
Exploring Operation: 27+26=53, Resulting Numbers: [53]
53,87 unequal: No Solution
Exploring Operation: 27*26=702, Resulting Numbers: [702]
702,87 unequal: No Solution
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,87 unequal: No Solution
Moving to Node #0,2,1
Current State: 87:[43, 10], Operations: ['69-42=27', '27-17=10']
Exploring Operation: 43*10=430, Resulting Numbers: [430]
430,87 unequal: No Solution
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,87 unequal: No Solution
Exploring Operation: 43+10=53, Resulting Numbers: [53]
53,87 unequal: No Solution
Moving to Node #0,2,0
Current State: 87:[17, 16], Operations: ['69-42=27', '43-27=16']
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,87 unequal: No Solution
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,87 unequal: No Solution
Exploring Operation: 17*16=272, Resulting Numbers: [272]
272,87 unequal: No Solution
Moving to Node #0,2,3
Current State: 87:[27, 60], Operations: ['69-42=27', '17+43=60']
Exploring Operation: 27+60=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[17, 69, 43, 42], Operations: []
Exploring Operation: 69-42=27, Resulting Numbers: [17, 43, 27]
Generated Node #0,2: 87:[17, 43, 27] Operation: 69-42=27
Moving to Node #0,2
Current State: 87:[17, 43, 27], Operations: ['69-42=27']
Exploring Operation: 17+43=60, Resulting Numbers: [27, 60]
Generated Node #0,2,3: 87:[27, 60] Operation: 17+43=60
Moving to Node #0,2,3
Current State: 87:[27, 60], Operations: ['69-42=27', '17+43=60']
Exploring Operation: 27+60=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 | hs_4 | sum_heuristic |
[
31,
21,
26,
38
] | 64 | [
"31+21=52",
"38-26=12",
"52+12=64"
] | Current State: 64:[31, 21, 26, 38], Operations: []
Exploring Operation: 31+21=52, Resulting Numbers: [26, 38, 52]
Generated Node #2: [26, 38, 52] from Operation: 31+21=52
Current State: 64:[26, 38, 52], Operations: ['31+21=52']
Exploring Operation: 38-26=12, Resulting Numbers: [52, 12]
Generated Node #3: [52, 12] from Operation: 38-26=12
Current State: 64:[52, 12], Operations: ['31+21=52', '38-26=12']
Exploring Operation: 52+12=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[31, 21, 26, 38], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [31, 38, 5]
Generated Node #0,0: 64:[31, 38, 5] Operation: 26-21=5
Exploring Operation: 26+38=64, Resulting Numbers: [31, 21, 64]
Generated Node #0,1: 64:[31, 21, 64] Operation: 26+38=64
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[31, 21, 64], Operations: ['26+38=64']
Exploring Operation: 64-31=33, Resulting Numbers: [21, 33]
Generated Node #0,1,0: 64:[21, 33] Operation: 64-31=33
Exploring Operation: 31-21=10, Resulting Numbers: [64, 10]
Generated Node #0,1,1: 64:[64, 10] Operation: 31-21=10
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 64:[64, 10], Operations: ['26+38=64', '31-21=10']
Exploring Operation: 64+10=74, Resulting Numbers: [74]
74,64 unequal: No Solution
Exploring Operation: 64-10=54, Resulting Numbers: [54]
54,64 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 64:[21, 33], Operations: ['26+38=64', '64-31=33']
Exploring Operation: 21+33=54, Resulting Numbers: [54]
54,64 unequal: No Solution
Exploring Operation: 33-21=12, Resulting Numbers: [12]
12,64 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 #0,0
Current State: 64:[31, 38, 5], Operations: ['26-21=5']
Exploring Operation: 38-31=7, Resulting Numbers: [5, 7]
Generated Node #0,0,0: 64:[5, 7] Operation: 38-31=7
Exploring Operation: 38-5=33, Resulting Numbers: [31, 33]
Generated Node #0,0,1: 64:[31, 33] Operation: 38-5=33
Moving to Node #0,0,0
Current State: 64:[5, 7], Operations: ['26-21=5', '38-31=7']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[31, 33], Operations: ['26-21=5', '38-5=33']
Exploring Operation: 33-31=2, Resulting Numbers: [2]
2,64 unequal: No Solution
Exploring Operation: 31+33=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[31, 21, 26, 38], Operations: []
Exploring Operation: 26-21=5, Resulting Numbers: [31, 38, 5]
Generated Node #0,0: 64:[31, 38, 5] Operation: 26-21=5
Moving to Node #0,0
Current State: 64:[31, 38, 5], Operations: ['26-21=5']
Exploring Operation: 38-5=33, Resulting Numbers: [31, 33]
Generated Node #0,0,1: 64:[31, 33] Operation: 38-5=33
Moving to Node #0,0,1
Current State: 64:[31, 33], Operations: ['26-21=5', '38-5=33']
Exploring Operation: 31+33=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_2 | mult_heuristic |
[
42,
71,
9,
63
] | 59 | [
"42+71=113",
"63-9=54",
"113-54=59"
] | Current State: 59:[42, 71, 9, 63], Operations: []
Exploring Operation: 42+71=113, Resulting Numbers: [9, 63, 113]
Generated Node #2: [9, 63, 113] from Operation: 42+71=113
Current State: 59:[9, 63, 113], Operations: ['42+71=113']
Exploring Operation: 63-9=54, Resulting Numbers: [113, 54]
Generated Node #3: [113, 54] from Operation: 63-9=54
Current State: 59:[113, 54], Operations: ['42+71=113', '63-9=54']
Exploring Operation: 113-54=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[42, 71, 9, 63], Operations: []
Exploring Operation: 63-9=54, Resulting Numbers: [42, 71, 54]
Generated Node #0,0: 59:[42, 71, 54] Operation: 63-9=54
Exploring Operation: 42-9=33, Resulting Numbers: [71, 63, 33]
Generated Node #0,1: 59:[71, 63, 33] Operation: 42-9=33
Exploring Operation: 42+9=51, Resulting Numbers: [71, 63, 51]
Generated Node #0,2: 59:[71, 63, 51] Operation: 42+9=51
Exploring Operation: 71-9=62, Resulting Numbers: [42, 63, 62]
Generated Node #0,3: 59:[42, 63, 62] Operation: 71-9=62
Start Sub Search at level 1: Moving to Node #0,2
Current State: 59:[71, 63, 51], Operations: ['42+9=51']
Exploring Operation: 63-51=12, Resulting Numbers: [71, 12]
Generated Node #0,2,0: 59:[71, 12] Operation: 63-51=12
Exploring Operation: 71-63=8, Resulting Numbers: [51, 8]
Generated Node #0,2,1: 59:[51, 8] Operation: 71-63=8
Exploring Operation: 71-51=20, Resulting Numbers: [63, 20]
Generated Node #0,2,2: 59:[63, 20] Operation: 71-51=20
Exploring Operation: 71+51=122, Resulting Numbers: [63, 122]
Generated Node #0,2,3: 59:[63, 122] Operation: 71+51=122
Moving to Node #0,2,2
Current State: 59:[63, 20], Operations: ['42+9=51', '71-51=20']
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,59 unequal: No Solution
Exploring Operation: 63*20=1260, Resulting Numbers: [1260]
1260,59 unequal: No Solution
Exploring Operation: 63+20=83, Resulting Numbers: [83]
83,59 unequal: No Solution
Moving to Node #0,2,1
Current State: 59:[51, 8], Operations: ['42+9=51', '71-63=8']
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,59 unequal: No Solution
Exploring Operation: 51+8=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Moving to Node #0
Current State: 59:[42, 71, 9, 63], Operations: []
Exploring Operation: 42+9=51, Resulting Numbers: [71, 63, 51]
Generated Node #0,2: 59:[71, 63, 51] Operation: 42+9=51
Moving to Node #0,2
Current State: 59:[71, 63, 51], Operations: ['42+9=51']
Exploring Operation: 71-63=8, Resulting Numbers: [51, 8]
Generated Node #0,2,1: 59:[51, 8] Operation: 71-63=8
Moving to Node #0,2,1
Current State: 59:[51, 8], Operations: ['42+9=51', '71-63=8']
Exploring Operation: 51+8=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
80,
88,
33,
88
] | 47 | [
"80+88=168",
"33+88=121",
"168-121=47"
] | Current State: 47:[80, 88, 33, 88], Operations: []
Exploring Operation: 80+88=168, Resulting Numbers: [33, 168]
Generated Node #2: [33, 168] from Operation: 80+88=168
Current State: 47:[33, 168], Operations: ['80+88=168']
Exploring Operation: 33+88=121, Resulting Numbers: [168, 121]
Generated Node #3: [168, 121] from Operation: 33+88=121
Current State: 47:[168, 121], Operations: ['80+88=168', '33+88=121']
Exploring Operation: 168-121=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[80, 88, 33, 88], Operations: []
Exploring Operation: 88-33=55, Resulting Numbers: [80, 88, 55]
Generated Node #0,0: 47:[80, 88, 55] Operation: 88-33=55
Exploring Operation: 88-33=55, Resulting Numbers: [80, 88, 55]
Generated Node #0,1: 47:[80, 88, 55] Operation: 88-33=55
Exploring Operation: 88-80=8, Resulting Numbers: [33, 88, 8]
Generated Node #0,2: 47:[33, 88, 8] Operation: 88-80=8
Exploring Operation: 80-33=47, Resulting Numbers: [88, 88, 47]
Generated Node #0,3: 47:[88, 88, 47] Operation: 80-33=47
Exploring Operation: 88/88=1, Resulting Numbers: [80, 33, 1]
Generated Node #0,4: 47:[80, 33, 1] Operation: 88/88=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[80, 88, 55], Operations: ['88-33=55']
Exploring Operation: 80-55=25, Resulting Numbers: [88, 25]
Generated Node #0,0,0: 47:[88, 25] Operation: 80-55=25
Exploring Operation: 80+55=135, Resulting Numbers: [88, 135]
Generated Node #0,0,1: 47:[88, 135] Operation: 80+55=135
Exploring Operation: 88-80=8, Resulting Numbers: [55, 8]
Generated Node #0,0,2: 47:[55, 8] Operation: 88-80=8
Exploring Operation: 80+88=168, Resulting Numbers: [55, 168]
Generated Node #0,0,3: 47:[55, 168] Operation: 80+88=168
Exploring Operation: 88-55=33, Resulting Numbers: [80, 33]
Generated Node #0,0,4: 47:[80, 33] Operation: 88-55=33
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 47:[55, 8], Operations: ['88-33=55', '88-80=8']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[80, 88, 33, 88], Operations: []
Exploring Operation: 88-33=55, Resulting Numbers: [80, 88, 55]
Generated Node #0,0: 47:[80, 88, 55] Operation: 88-33=55
Moving to Node #0,0
Current State: 47:[80, 88, 55], Operations: ['88-33=55']
Exploring Operation: 88-80=8, Resulting Numbers: [55, 8]
Generated Node #0,0,2: 47:[55, 8] Operation: 88-80=8
Moving to Node #0,0,2
Current State: 47:[55, 8], Operations: ['88-33=55', '88-80=8']
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
95,
35,
92,
46
] | 14 | [
"95-35=60",
"92-46=46",
"60-46=14"
] | Current State: 14:[95, 35, 92, 46], Operations: []
Exploring Operation: 95-35=60, Resulting Numbers: [92, 46, 60]
Generated Node #2: [92, 46, 60] from Operation: 95-35=60
Current State: 14:[92, 46, 60], Operations: ['95-35=60']
Exploring Operation: 92-46=46, Resulting Numbers: [60, 46]
Generated Node #3: [60, 46] from Operation: 92-46=46
Current State: 14:[60, 46], Operations: ['95-35=60', '92-46=46']
Exploring Operation: 60-46=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[95, 35, 92, 46], Operations: []
Exploring Operation: 95-46=49, Resulting Numbers: [35, 92, 49]
Generated Node #0,0: 14:[35, 92, 49] Operation: 95-46=49
Exploring Operation: 92/46=2, Resulting Numbers: [95, 35, 2]
Generated Node #0,1: 14:[95, 35, 2] Operation: 92/46=2
Exploring Operation: 95-92=3, Resulting Numbers: [35, 46, 3]
Generated Node #0,2: 14:[35, 46, 3] Operation: 95-92=3
Moving to Node #0,2
Current State: 14:[35, 46, 3], Operations: ['95-92=3']
Exploring Operation: 35-3=32, Resulting Numbers: [46, 32]
Generated Node #0,2,0: 14:[46, 32] Operation: 35-3=32
Exploring Operation: 46-3=43, Resulting Numbers: [35, 43]
Generated Node #0,2,1: 14:[35, 43] Operation: 46-3=43
Exploring Operation: 46-35=11, Resulting Numbers: [3, 11]
Generated Node #0,2,2: 14:[3, 11] Operation: 46-35=11
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 14:[3, 11], Operations: ['95-92=3', '46-35=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[95, 35, 92, 46], Operations: []
Exploring Operation: 95-92=3, Resulting Numbers: [35, 46, 3]
Generated Node #0,2: 14:[35, 46, 3] Operation: 95-92=3
Moving to Node #0,2
Current State: 14:[35, 46, 3], Operations: ['95-92=3']
Exploring Operation: 46-35=11, Resulting Numbers: [3, 11]
Generated Node #0,2,2: 14:[3, 11] Operation: 46-35=11
Moving to Node #0,2,2
Current State: 14:[3, 11], Operations: ['95-92=3', '46-35=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
47,
32,
4,
10
] | 94 | [
"32/4=8",
"10-8=2",
"47*2=94"
] | Current State: 94:[47, 32, 4, 10], Operations: []
Exploring Operation: 32/4=8, Resulting Numbers: [47, 10, 8]
Generated Node #2: [47, 10, 8] from Operation: 32/4=8
Current State: 94:[47, 10, 8], Operations: ['32/4=8']
Exploring Operation: 10-8=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 10-8=2
Current State: 94:[47, 2], Operations: ['32/4=8', '10-8=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[47, 32, 4, 10], Operations: []
Exploring Operation: 32/4=8, Resulting Numbers: [47, 10, 8]
Generated Node #0,0: 94:[47, 10, 8] Operation: 32/4=8
Exploring Operation: 32+10=42, Resulting Numbers: [47, 4, 42]
Generated Node #0,1: 94:[47, 4, 42] Operation: 32+10=42
Moving to Node #0,1
Current State: 94:[47, 4, 42], Operations: ['32+10=42']
Exploring Operation: 47-42=5, Resulting Numbers: [4, 5]
Generated Node #0,1,0: 94:[4, 5] Operation: 47-42=5
Exploring Operation: 4+42=46, Resulting Numbers: [47, 46]
Generated Node #0,1,1: 94:[47, 46] Operation: 4+42=46
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 94:[47, 46], Operations: ['32+10=42', '4+42=46']
Exploring Operation: 47+46=93, Resulting Numbers: [93]
93,94 unequal: No Solution
Exploring Operation: 47-46=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 #0,1,0
Current State: 94:[4, 5], Operations: ['32+10=42', '47-42=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 94:[47, 10, 8], Operations: ['32/4=8']
Exploring Operation: 10-8=2, Resulting Numbers: [47, 2]
Generated Node #0,0,0: 94:[47, 2] Operation: 10-8=2
Exploring Operation: 10*8=80, Resulting Numbers: [47, 80]
Generated Node #0,0,1: 94:[47, 80] Operation: 10*8=80
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 94:[47, 2], Operations: ['32/4=8', '10-8=2']
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,94 unequal: No Solution
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[47, 32, 4, 10], Operations: []
Exploring Operation: 32/4=8, Resulting Numbers: [47, 10, 8]
Generated Node #0,0: 94:[47, 10, 8] Operation: 32/4=8
Moving to Node #0,0
Current State: 94:[47, 10, 8], Operations: ['32/4=8']
Exploring Operation: 10-8=2, Resulting Numbers: [47, 2]
Generated Node #0,0,0: 94:[47, 2] Operation: 10-8=2
Moving to Node #0,0,0
Current State: 94:[47, 2], Operations: ['32/4=8', '10-8=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
56,
71,
9,
50
] | 86 | [
"56+71=127",
"50-9=41",
"127-41=86"
] | Current State: 86:[56, 71, 9, 50], Operations: []
Exploring Operation: 56+71=127, Resulting Numbers: [9, 50, 127]
Generated Node #2: [9, 50, 127] from Operation: 56+71=127
Current State: 86:[9, 50, 127], Operations: ['56+71=127']
Exploring Operation: 50-9=41, Resulting Numbers: [127, 41]
Generated Node #3: [127, 41] from Operation: 50-9=41
Current State: 86:[127, 41], Operations: ['56+71=127', '50-9=41']
Exploring Operation: 127-41=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[56, 71, 9, 50], Operations: []
Exploring Operation: 56-9=47, Resulting Numbers: [71, 50, 47]
Generated Node #0,0: 86:[71, 50, 47] Operation: 56-9=47
Exploring Operation: 56-50=6, Resulting Numbers: [71, 9, 6]
Generated Node #0,1: 86:[71, 9, 6] Operation: 56-50=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[71, 50, 47], Operations: ['56-9=47']
Exploring Operation: 71-50=21, Resulting Numbers: [47, 21]
Generated Node #0,0,0: 86:[47, 21] Operation: 71-50=21
Exploring Operation: 50-47=3, Resulting Numbers: [71, 3]
Generated Node #0,0,1: 86:[71, 3] Operation: 50-47=3
Moving to Node #0,0,1
Current State: 86:[71, 3], Operations: ['56-9=47', '50-47=3']
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,86 unequal: No Solution
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[47, 21], Operations: ['56-9=47', '71-50=21']
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,86 unequal: No Solution
Exploring Operation: 47+21=68, Resulting Numbers: [68]
68,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[71, 9, 6], Operations: ['56-50=6']
Exploring Operation: 71+9=80, Resulting Numbers: [6, 80]
Generated Node #0,1,0: 86:[6, 80] Operation: 71+9=80
Exploring Operation: 71+6=77, Resulting Numbers: [9, 77]
Generated Node #0,1,1: 86:[9, 77] Operation: 71+6=77
Moving to Node #0,1,0
Current State: 86:[6, 80], Operations: ['56-50=6', '71+9=80']
Exploring Operation: 6+80=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[56, 71, 9, 50], Operations: []
Exploring Operation: 56-50=6, Resulting Numbers: [71, 9, 6]
Generated Node #0,1: 86:[71, 9, 6] Operation: 56-50=6
Moving to Node #0,1
Current State: 86:[71, 9, 6], Operations: ['56-50=6']
Exploring Operation: 71+9=80, Resulting Numbers: [6, 80]
Generated Node #0,1,0: 86:[6, 80] Operation: 71+9=80
Moving to Node #0,1,0
Current State: 86:[6, 80], Operations: ['56-50=6', '71+9=80']
Exploring Operation: 6+80=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
65,
4,
50,
1
] | 10 | [
"65-4=61",
"50+1=51",
"61-51=10"
] | Current State: 10:[65, 4, 50, 1], Operations: []
Exploring Operation: 65-4=61, Resulting Numbers: [50, 1, 61]
Generated Node #2: [50, 1, 61] from Operation: 65-4=61
Current State: 10:[50, 1, 61], Operations: ['65-4=61']
Exploring Operation: 50+1=51, Resulting Numbers: [61, 51]
Generated Node #3: [61, 51] from Operation: 50+1=51
Current State: 10:[61, 51], Operations: ['65-4=61', '50+1=51']
Exploring Operation: 61-51=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[65, 4, 50, 1], Operations: []
Exploring Operation: 65-4=61, Resulting Numbers: [50, 1, 61]
Generated Node #0,0: 10:[50, 1, 61] Operation: 65-4=61
Exploring Operation: 65-50=15, Resulting Numbers: [4, 1, 15]
Generated Node #0,1: 10:[4, 1, 15] Operation: 65-50=15
Moving to Node #0,1
Current State: 10:[4, 1, 15], Operations: ['65-50=15']
Exploring Operation: 15-4=11, Resulting Numbers: [1, 11]
Generated Node #0,1,0: 10:[1, 11] Operation: 15-4=11
Exploring Operation: 4+1=5, Resulting Numbers: [15, 5]
Generated Node #0,1,1: 10:[15, 5] Operation: 4+1=5
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 10:[1, 11], Operations: ['65-50=15', '15-4=11']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[65, 4, 50, 1], Operations: []
Exploring Operation: 65-50=15, Resulting Numbers: [4, 1, 15]
Generated Node #0,1: 10:[4, 1, 15] Operation: 65-50=15
Moving to Node #0,1
Current State: 10:[4, 1, 15], Operations: ['65-50=15']
Exploring Operation: 15-4=11, Resulting Numbers: [1, 11]
Generated Node #0,1,0: 10:[1, 11] Operation: 15-4=11
Moving to Node #0,1,0
Current State: 10:[1, 11], Operations: ['65-50=15', '15-4=11']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
13,
13,
28,
93
] | 65 | [
"13-13=0",
"93-28=65",
"0+65=65"
] | Current State: 65:[13, 13, 28, 93], Operations: []
Exploring Operation: 13-13=0, Resulting Numbers: [28, 93, 0]
Generated Node #2: [28, 93, 0] from Operation: 13-13=0
Current State: 65:[28, 93, 0], Operations: ['13-13=0']
Exploring Operation: 93-28=65, Resulting Numbers: [0, 65]
Generated Node #3: [0, 65] from Operation: 93-28=65
Current State: 65:[0, 65], Operations: ['13-13=0', '93-28=65']
Exploring Operation: 0+65=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[13, 13, 28, 93], Operations: []
Exploring Operation: 93-28=65, Resulting Numbers: [13, 13, 65]
Generated Node #0,0: 65:[13, 13, 65] Operation: 93-28=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[13, 13, 65], Operations: ['93-28=65']
Exploring Operation: 65/13=5, Resulting Numbers: [13, 5]
Generated Node #0,0,0: 65:[13, 5] Operation: 65/13=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 65:[13, 5], Operations: ['93-28=65', '65/13=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[13, 13, 28, 93], Operations: []
Exploring Operation: 93-28=65, Resulting Numbers: [13, 13, 65]
Generated Node #0,0: 65:[13, 13, 65] Operation: 93-28=65
Moving to Node #0,0
Current State: 65:[13, 13, 65], Operations: ['93-28=65']
Exploring Operation: 65/13=5, Resulting Numbers: [13, 5]
Generated Node #0,0,0: 65:[13, 5] Operation: 65/13=5
Moving to Node #0,0,0
Current State: 65:[13, 5], Operations: ['93-28=65', '65/13=5']
Exploring Operation: 13*5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
13,
25,
85,
22
] | 96 | [
"25*85=2125",
"2125-13=2112",
"2112/22=96"
] | Current State: 96:[13, 25, 85, 22], Operations: []
Exploring Operation: 25*85=2125, Resulting Numbers: [13, 22, 2125]
Generated Node #2: [13, 22, 2125] from Operation: 25*85=2125
Current State: 96:[13, 22, 2125], Operations: ['25*85=2125']
Exploring Operation: 2125-13=2112, Resulting Numbers: [22, 2112]
Generated Node #3: [22, 2112] from Operation: 2125-13=2112
Current State: 96:[22, 2112], Operations: ['25*85=2125', '2125-13=2112']
Exploring Operation: 2112/22=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[13, 25, 85, 22], Operations: []
Exploring Operation: 13+85=98, Resulting Numbers: [25, 22, 98]
Generated Node #0,0: 96:[25, 22, 98] Operation: 13+85=98
Exploring Operation: 25-22=3, Resulting Numbers: [13, 85, 3]
Generated Node #0,1: 96:[13, 85, 3] Operation: 25-22=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[25, 22, 98], Operations: ['13+85=98']
Exploring Operation: 25-22=3, Resulting Numbers: [98, 3]
Generated Node #0,0,0: 96:[98, 3] Operation: 25-22=3
Exploring Operation: 25+22=47, Resulting Numbers: [98, 47]
Generated Node #0,0,1: 96:[98, 47] Operation: 25+22=47
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[98, 3], Operations: ['13+85=98', '25-22=3']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,96 unequal: No Solution
Exploring Operation: 98+3=101, Resulting Numbers: [101]
101,96 unequal: No Solution
No 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: 96:[98, 47], Operations: ['13+85=98', '25+22=47']
Exploring Operation: 98+47=145, Resulting Numbers: [145]
145,96 unequal: No Solution
Exploring Operation: 98-47=51, Resulting Numbers: [51]
51,96 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: 96:[13, 85, 3], Operations: ['25-22=3']
Exploring Operation: 85+3=88, Resulting Numbers: [13, 88]
Generated Node #0,1,0: 96:[13, 88] Operation: 85+3=88
Exploring Operation: 13+85=98, Resulting Numbers: [3, 98]
Generated Node #0,1,1: 96:[3, 98] Operation: 13+85=98
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 96:[3, 98], Operations: ['25-22=3', '13+85=98']
Exploring Operation: 3+98=101, Resulting Numbers: [101]
101,96 unequal: No Solution
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,96 unequal: No Solution
No 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: 96:[13, 88], Operations: ['25-22=3', '85+3=88']
Exploring Operation: 13+88=101, Resulting Numbers: [101]
101,96 unequal: No Solution
Exploring Operation: 88-13=75, Resulting Numbers: [75]
75,96 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 |
[
96,
55,
4,
35
] | 99 | [
"96-55=41",
"4*35=140",
"140-41=99"
] | Current State: 99:[96, 55, 4, 35], Operations: []
Exploring Operation: 96-55=41, Resulting Numbers: [4, 35, 41]
Generated Node #2: [4, 35, 41] from Operation: 96-55=41
Current State: 99:[4, 35, 41], Operations: ['96-55=41']
Exploring Operation: 4*35=140, Resulting Numbers: [41, 140]
Generated Node #3: [41, 140] from Operation: 4*35=140
Current State: 99:[41, 140], Operations: ['96-55=41', '4*35=140']
Exploring Operation: 140-41=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[96, 55, 4, 35], Operations: []
Exploring Operation: 55+35=90, Resulting Numbers: [96, 4, 90]
Generated Node #0,0: 99:[96, 4, 90] Operation: 55+35=90
Exploring Operation: 55-35=20, Resulting Numbers: [96, 4, 20]
Generated Node #0,1: 99:[96, 4, 20] Operation: 55-35=20
Exploring Operation: 96-55=41, Resulting Numbers: [4, 35, 41]
Generated Node #0,2: 99:[4, 35, 41] Operation: 96-55=41
Start Sub Search at level 1: Moving to Node #0,2
Current State: 99:[4, 35, 41], Operations: ['96-55=41']
Exploring Operation: 35-4=31, Resulting Numbers: [41, 31]
Generated Node #0,2,0: 99:[41, 31] Operation: 35-4=31
Exploring Operation: 41-35=6, Resulting Numbers: [4, 6]
Generated Node #0,2,1: 99:[4, 6] Operation: 41-35=6
Exploring Operation: 41-4=37, Resulting Numbers: [35, 37]
Generated Node #0,2,2: 99:[35, 37] Operation: 41-4=37
Moving to Node #0,2,1
Current State: 99:[4, 6], Operations: ['96-55=41', '41-35=6']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,99 unequal: No Solution
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,99 unequal: No Solution
Moving to Node #0,2,2
Current State: 99:[35, 37], Operations: ['96-55=41', '41-4=37']
Exploring Operation: 35*37=1295, Resulting Numbers: [1295]
1295,99 unequal: No Solution
Exploring Operation: 35+37=72, Resulting Numbers: [72]
72,99 unequal: No Solution
Exploring Operation: 37-35=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Moving to Node #0,2,0
Current State: 99:[41, 31], Operations: ['96-55=41', '35-4=31']
Exploring Operation: 41-31=10, Resulting Numbers: [10]
10,99 unequal: No Solution
Exploring Operation: 41+31=72, Resulting Numbers: [72]
72,99 unequal: No Solution
Exploring Operation: 41*31=1271, Resulting Numbers: [1271]
1271,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[96, 4, 90], Operations: ['55+35=90']
Exploring Operation: 4+90=94, Resulting Numbers: [96, 94]
Generated Node #0,0,0: 99:[96, 94] Operation: 4+90=94
Exploring Operation: 96-90=6, Resulting Numbers: [4, 6]
Generated Node #0,0,1: 99:[4, 6] Operation: 96-90=6
Exploring Operation: 96+4=100, Resulting Numbers: [90, 100]
Generated Node #0,0,2: 99:[90, 100] Operation: 96+4=100
Moving to Node #0,0,1
Current State: 99:[4, 6], Operations: ['55+35=90', '96-90=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,99 unequal: No Solution
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,99 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Moving to Node #0,0,0
Current State: 99:[96, 94], Operations: ['55+35=90', '4+90=94']
Exploring Operation: 96-94=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Exploring Operation: 96+94=190, Resulting Numbers: [190]
190,99 unequal: No Solution
Exploring Operation: 96*94=9024, Resulting Numbers: [9024]
9024,99 unequal: No Solution
Moving to Node #0,0,2
Current State: 99:[90, 100], Operations: ['55+35=90', '96+4=100']
Exploring Operation: 100-90=10, Resulting Numbers: [10]
10,99 unequal: No Solution
Exploring Operation: 90*100=9000, Resulting Numbers: [9000]
9000,99 unequal: No Solution
Exploring Operation: 90+100=190, Resulting Numbers: [190]
190,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 99:[96, 4, 20], Operations: ['55-35=20']
Exploring Operation: 20-4=16, Resulting Numbers: [96, 16]
Generated Node #0,1,0: 99:[96, 16] Operation: 20-4=16
Exploring Operation: 96+4=100, Resulting Numbers: [20, 100]
Generated Node #0,1,1: 99:[20, 100] Operation: 96+4=100
Exploring Operation: 20/4=5, Resulting Numbers: [96, 5]
Generated Node #0,1,2: 99:[96, 5] Operation: 20/4=5
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 99:[96, 5], Operations: ['55-35=20', '20/4=5']
Exploring Operation: 96*5=480, Resulting Numbers: [480]
480,99 unequal: No Solution
Exploring Operation: 96+5=101, Resulting Numbers: [101]
101,99 unequal: No Solution
Exploring Operation: 96-5=91, Resulting Numbers: [91]
91,99 unequal: No Solution
No 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: 99:[96, 16], Operations: ['55-35=20', '20-4=16']
Exploring Operation: 96+16=112, Resulting Numbers: [112]
112,99 unequal: No Solution
Exploring Operation: 96-16=80, Resulting Numbers: [80]
80,99 unequal: No Solution
Exploring Operation: 96/16=6, Resulting Numbers: [6]
6,99 unequal: No Solution
No 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: 99:[20, 100], Operations: ['55-35=20', '96+4=100']
Exploring Operation: 100-20=80, Resulting Numbers: [80]
80,99 unequal: No Solution
Exploring Operation: 100/20=5, Resulting Numbers: [5]
5,99 unequal: No Solution
Exploring Operation: 20+100=120, Resulting Numbers: [120]
120,99 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 |
[
73,
12,
33,
59
] | 22 | [
"73+59=132",
"132/12=11",
"33-11=22"
] | Current State: 22:[73, 12, 33, 59], Operations: []
Exploring Operation: 73+59=132, Resulting Numbers: [12, 33, 132]
Generated Node #2: [12, 33, 132] from Operation: 73+59=132
Current State: 22:[12, 33, 132], Operations: ['73+59=132']
Exploring Operation: 132/12=11, Resulting Numbers: [33, 11]
Generated Node #3: [33, 11] from Operation: 132/12=11
Current State: 22:[33, 11], Operations: ['73+59=132', '132/12=11']
Exploring Operation: 33-11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[73, 12, 33, 59], Operations: []
Exploring Operation: 73-33=40, Resulting Numbers: [12, 59, 40]
Generated Node #0,0: 22:[12, 59, 40] Operation: 73-33=40
Exploring Operation: 73-12=61, Resulting Numbers: [33, 59, 61]
Generated Node #0,1: 22:[33, 59, 61] Operation: 73-12=61
Exploring Operation: 59-33=26, Resulting Numbers: [73, 12, 26]
Generated Node #0,2: 22:[73, 12, 26] Operation: 59-33=26
Exploring Operation: 73-59=14, Resulting Numbers: [12, 33, 14]
Generated Node #0,3: 22:[12, 33, 14] Operation: 73-59=14
Exploring Operation: 59-12=47, Resulting Numbers: [73, 33, 47]
Generated Node #0,4: 22:[73, 33, 47] Operation: 59-12=47
Moving to Node #0,3
Current State: 22:[12, 33, 14], Operations: ['73-59=14']
Exploring Operation: 14-12=2, Resulting Numbers: [33, 2]
Generated Node #0,3,0: 22:[33, 2] Operation: 14-12=2
Exploring Operation: 33-14=19, Resulting Numbers: [12, 19]
Generated Node #0,3,1: 22:[12, 19] Operation: 33-14=19
Exploring Operation: 33-12=21, Resulting Numbers: [14, 21]
Generated Node #0,3,2: 22:[14, 21] Operation: 33-12=21
Exploring Operation: 12+14=26, Resulting Numbers: [33, 26]
Generated Node #0,3,3: 22:[33, 26] Operation: 12+14=26
Exploring Operation: 12+33=45, Resulting Numbers: [14, 45]
Generated Node #0,3,4: 22:[14, 45] Operation: 12+33=45
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 22:[12, 19], Operations: ['73-59=14', '33-14=19']
Exploring Operation: 12*19=228, Resulting Numbers: [228]
228,22 unequal: No Solution
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,22 unequal: No Solution
No 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: 22:[14, 21], Operations: ['73-59=14', '33-12=21']
Exploring Operation: 14*21=294, Resulting Numbers: [294]
294,22 unequal: No Solution
Exploring Operation: 21-14=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Exploring Operation: 14+21=35, Resulting Numbers: [35]
35,22 unequal: No Solution
No 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: 22:[33, 2], Operations: ['73-59=14', '14-12=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,22 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,22 unequal: No Solution
No 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: 22:[33, 26], Operations: ['73-59=14', '12+14=26']
Exploring Operation: 33*26=858, Resulting Numbers: [858]
858,22 unequal: No Solution
Exploring Operation: 33+26=59, Resulting Numbers: [59]
59,22 unequal: No Solution
Exploring Operation: 33-26=7, Resulting Numbers: [7]
7,22 unequal: No Solution
No 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: 22:[14, 45], Operations: ['73-59=14', '12+33=45']
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 14+45=59, Resulting Numbers: [59]
59,22 unequal: No Solution
Exploring Operation: 14*45=630, Resulting Numbers: [630]
630,22 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: 22:[73, 12, 26], Operations: ['59-33=26']
Exploring Operation: 73-12=61, Resulting Numbers: [26, 61]
Generated Node #0,2,0: 22:[26, 61] Operation: 73-12=61
Exploring Operation: 26-12=14, Resulting Numbers: [73, 14]
Generated Node #0,2,1: 22:[73, 14] Operation: 26-12=14
Exploring Operation: 73-26=47, Resulting Numbers: [12, 47]
Generated Node #0,2,2: 22:[12, 47] Operation: 73-26=47
Exploring Operation: 12+26=38, Resulting Numbers: [73, 38]
Generated Node #0,2,3: 22:[73, 38] Operation: 12+26=38
Exploring Operation: 73+12=85, Resulting Numbers: [26, 85]
Generated Node #0,2,4: 22:[26, 85] Operation: 73+12=85
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 22:[12, 47], Operations: ['59-33=26', '73-26=47']
Exploring Operation: 12+47=59, Resulting Numbers: [59]
59,22 unequal: No Solution
Exploring Operation: 12*47=564, Resulting Numbers: [564]
564,22 unequal: No Solution
Exploring Operation: 47-12=35, Resulting Numbers: [35]
35,22 unequal: No Solution
No 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: 22:[26, 61], Operations: ['59-33=26', '73-12=61']
Exploring Operation: 26*61=1586, Resulting Numbers: [1586]
1586,22 unequal: No Solution
Exploring Operation: 61-26=35, Resulting Numbers: [35]
35,22 unequal: No Solution
Exploring Operation: 26+61=87, Resulting Numbers: [87]
87,22 unequal: No Solution
No 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: 22:[73, 14], Operations: ['59-33=26', '26-12=14']
Exploring Operation: 73+14=87, Resulting Numbers: [87]
87,22 unequal: No Solution
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,22 unequal: No Solution
Exploring Operation: 73*14=1022, Resulting Numbers: [1022]
1022,22 unequal: No Solution
No 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: 22:[73, 38], Operations: ['59-33=26', '12+26=38']
Exploring Operation: 73+38=111, Resulting Numbers: [111]
111,22 unequal: No Solution
Exploring Operation: 73-38=35, Resulting Numbers: [35]
35,22 unequal: No Solution
Exploring Operation: 73*38=2774, Resulting Numbers: [2774]
2774,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 22:[26, 85], Operations: ['59-33=26', '73+12=85']
Exploring Operation: 26+85=111, Resulting Numbers: [111]
111,22 unequal: No Solution
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,22 unequal: No Solution
Exploring Operation: 26*85=2210, Resulting Numbers: [2210]
2210,22 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: 22:[12, 59, 40], Operations: ['73-33=40']
Exploring Operation: 59-40=19, Resulting Numbers: [12, 19]
Generated Node #0,0,0: 22:[12, 19] Operation: 59-40=19
Exploring Operation: 12+59=71, Resulting Numbers: [40, 71]
Generated Node #0,0,1: 22:[40, 71] Operation: 12+59=71
Exploring Operation: 59-12=47, Resulting Numbers: [40, 47]
Generated Node #0,0,2: 22:[40, 47] Operation: 59-12=47
Exploring Operation: 12+40=52, Resulting Numbers: [59, 52]
Generated Node #0,0,3: 22:[59, 52] Operation: 12+40=52
Exploring Operation: 40-12=28, Resulting Numbers: [59, 28]
Generated Node #0,0,4: 22:[59, 28] Operation: 40-12=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[12, 19], Operations: ['73-33=40', '59-40=19']
Exploring Operation: 12*19=228, Resulting Numbers: [228]
228,22 unequal: No Solution
Exploring Operation: 19-12=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,22 unequal: No Solution
No 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: 22:[40, 47], Operations: ['73-33=40', '59-12=47']
Exploring Operation: 40*47=1880, Resulting Numbers: [1880]
1880,22 unequal: No Solution
Exploring Operation: 47-40=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Exploring Operation: 40+47=87, Resulting Numbers: [87]
87,22 unequal: No Solution
No 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: 22:[59, 28], Operations: ['73-33=40', '40-12=28']
Exploring Operation: 59+28=87, Resulting Numbers: [87]
87,22 unequal: No Solution
Exploring Operation: 59-28=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 59*28=1652, Resulting Numbers: [1652]
1652,22 unequal: No Solution
No 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: 22:[40, 71], Operations: ['73-33=40', '12+59=71']
Exploring Operation: 40+71=111, Resulting Numbers: [111]
111,22 unequal: No Solution
Exploring Operation: 40*71=2840, Resulting Numbers: [2840]
2840,22 unequal: No Solution
Exploring Operation: 71-40=31, Resulting Numbers: [31]
31,22 unequal: No Solution
No 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: 22:[59, 52], Operations: ['73-33=40', '12+40=52']
Exploring Operation: 59*52=3068, Resulting Numbers: [3068]
3068,22 unequal: No Solution
Exploring Operation: 59-52=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Exploring Operation: 59+52=111, Resulting Numbers: [111]
111,22 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: 22:[33, 59, 61], Operations: ['73-12=61']
Exploring Operation: 33+61=94, Resulting Numbers: [59, 94]
Generated Node #0,1,0: 22:[59, 94] Operation: 33+61=94
Exploring Operation: 61-33=28, Resulting Numbers: [59, 28]
Generated Node #0,1,1: 22:[59, 28] Operation: 61-33=28
Exploring Operation: 33+59=92, Resulting Numbers: [61, 92]
Generated Node #0,1,2: 22:[61, 92] Operation: 33+59=92
Exploring Operation: 59-33=26, Resulting Numbers: [61, 26]
Generated Node #0,1,3: 22:[61, 26] Operation: 59-33=26
Exploring Operation: 61-59=2, Resulting Numbers: [33, 2]
Generated Node #0,1,4: 22:[33, 2] Operation: 61-59=2
Moving to Node #0,4
Current State: 22:[73, 33, 47], Operations: ['59-12=47']
Exploring Operation: 73+47=120, Resulting Numbers: [33, 120]
Generated Node #0,4,0: 22:[33, 120] Operation: 73+47=120
Exploring Operation: 73+33=106, Resulting Numbers: [47, 106]
Generated Node #0,4,1: 22:[47, 106] Operation: 73+33=106
Exploring Operation: 47-33=14, Resulting Numbers: [73, 14]
Generated Node #0,4,2: 22:[73, 14] Operation: 47-33=14
Exploring Operation: 73-47=26, Resulting Numbers: [33, 26]
Generated Node #0,4,3: 22:[33, 26] Operation: 73-47=26
Exploring Operation: 73-33=40, Resulting Numbers: [47, 40]
Generated Node #0,4,4: 22:[47, 40] Operation: 73-33=40
Moving to Node #0,1,4
Current State: 22:[33, 2], Operations: ['73-12=61', '61-59=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 33+2=35, Resulting Numbers: [35]
35,22 unequal: No Solution
Exploring Operation: 33*2=66, Resulting Numbers: [66]
66,22 unequal: No Solution
Moving to Node #0,4,3
Current State: 22:[33, 26], Operations: ['59-12=47', '73-47=26']
Exploring Operation: 33*26=858, Resulting Numbers: [858]
858,22 unequal: No Solution
Exploring Operation: 33-26=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Exploring Operation: 33+26=59, Resulting Numbers: [59]
59,22 unequal: No Solution
Moving to Node #0,4,4
Current State: 22:[47, 40], Operations: ['59-12=47', '73-33=40']
Exploring Operation: 47-40=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Exploring Operation: 47+40=87, Resulting Numbers: [87]
87,22 unequal: No Solution
Exploring Operation: 47*40=1880, Resulting Numbers: [1880]
1880,22 unequal: No Solution
Moving to Node #0,1,3
Current State: 22:[61, 26], Operations: ['73-12=61', '59-33=26']
Exploring Operation: 61+26=87, Resulting Numbers: [87]
87,22 unequal: No Solution
Exploring Operation: 61*26=1586, Resulting Numbers: [1586]
1586,22 unequal: No Solution
Exploring Operation: 61-26=35, Resulting Numbers: [35]
35,22 unequal: No Solution
Moving to Node #0,1,1
Current State: 22:[59, 28], Operations: ['73-12=61', '61-33=28']
Exploring Operation: 59-28=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 59*28=1652, Resulting Numbers: [1652]
1652,22 unequal: No Solution
Exploring Operation: 59+28=87, Resulting Numbers: [87]
87,22 unequal: No Solution
Moving to Node #0,4,2
Current State: 22:[73, 14], Operations: ['59-12=47', '47-33=14']
Exploring Operation: 73+14=87, Resulting Numbers: [87]
87,22 unequal: No Solution
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,22 unequal: No Solution
Exploring Operation: 73*14=1022, Resulting Numbers: [1022]
1022,22 unequal: No Solution
Moving to Node #0,4,1
Current State: 22:[47, 106], Operations: ['59-12=47', '73+33=106']
Exploring Operation: 47*106=4982, Resulting Numbers: [4982]
4982,22 unequal: No Solution
Exploring Operation: 106-47=59, Resulting Numbers: [59]
59,22 unequal: No Solution
Exploring Operation: 47+106=153, Resulting Numbers: [153]
153,22 unequal: No Solution
Moving to Node #0,4,0
Current State: 22:[33, 120], Operations: ['59-12=47', '73+47=120']
Exploring Operation: 33*120=3960, Resulting Numbers: [3960]
3960,22 unequal: No Solution
Exploring Operation: 33+120=153, Resulting Numbers: [153]
153,22 unequal: No Solution
Exploring Operation: 120-33=87, Resulting Numbers: [87]
87,22 unequal: No Solution
Moving to Node #0,1,2
Current State: 22:[61, 92], Operations: ['73-12=61', '33+59=92']
Exploring Operation: 92-61=31, Resulting Numbers: [31]
31,22 unequal: No Solution
Exploring Operation: 61*92=5612, Resulting Numbers: [5612]
5612,22 unequal: No Solution
Exploring Operation: 61+92=153, Resulting Numbers: [153]
153,22 unequal: No Solution
Moving to Node #0,1,0
Current State: 22:[59, 94], Operations: ['73-12=61', '33+61=94']
Exploring Operation: 59+94=153, Resulting Numbers: [153]
153,22 unequal: No Solution
Exploring Operation: 59*94=5546, Resulting Numbers: [5546]
5546,22 unequal: No Solution
Exploring Operation: 94-59=35, Resulting Numbers: [35]
35,22 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
85,
83,
14,
82
] | 99 | [
"85+14=99",
"83-82=1",
"99*1=99"
] | Current State: 99:[85, 83, 14, 82], Operations: []
Exploring Operation: 85+14=99, Resulting Numbers: [83, 82, 99]
Generated Node #2: [83, 82, 99] from Operation: 85+14=99
Current State: 99:[83, 82, 99], Operations: ['85+14=99']
Exploring Operation: 83-82=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 83-82=1
Current State: 99:[99, 1], Operations: ['85+14=99', '83-82=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[85, 83, 14, 82], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [83, 14, 3]
Generated Node #0,0: 99:[83, 14, 3] Operation: 85-82=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[83, 14, 3], Operations: ['85-82=3']
Exploring Operation: 83+14=97, Resulting Numbers: [3, 97]
Generated Node #0,0,0: 99:[3, 97] Operation: 83+14=97
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 99:[3, 97], Operations: ['85-82=3', '83+14=97']
Exploring Operation: 3+97=100, Resulting Numbers: [100]
100,99 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 |
[
60,
62,
11,
90
] | 10 | [
"62-60=2",
"11-2=9",
"90/9=10"
] | Current State: 10:[60, 62, 11, 90], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [11, 90, 2]
Generated Node #2: [11, 90, 2] from Operation: 62-60=2
Current State: 10:[11, 90, 2], Operations: ['62-60=2']
Exploring Operation: 11-2=9, Resulting Numbers: [90, 9]
Generated Node #3: [90, 9] from Operation: 11-2=9
Current State: 10:[90, 9], Operations: ['62-60=2', '11-2=9']
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[60, 62, 11, 90], Operations: []
Exploring Operation: 90-62=28, Resulting Numbers: [60, 11, 28]
Generated Node #0,0: 10:[60, 11, 28] Operation: 90-62=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[60, 11, 28], Operations: ['90-62=28']
Exploring Operation: 60-28=32, Resulting Numbers: [11, 32]
Generated Node #0,0,0: 10:[11, 32] Operation: 60-28=32
Moving to Node #0,0,0
Current State: 10:[11, 32], Operations: ['90-62=28', '60-28=32']
Exploring Operation: 32-11=21, Resulting Numbers: [21]
21,10 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
64,
18,
20,
85
] | 18 | [
"64+20=84",
"85-84=1",
"18*1=18"
] | Current State: 18:[64, 18, 20, 85], Operations: []
Exploring Operation: 64+20=84, Resulting Numbers: [18, 85, 84]
Generated Node #2: [18, 85, 84] from Operation: 64+20=84
Current State: 18:[18, 85, 84], Operations: ['64+20=84']
Exploring Operation: 85-84=1, Resulting Numbers: [18, 1]
Generated Node #3: [18, 1] from Operation: 85-84=1
Current State: 18:[18, 1], Operations: ['64+20=84', '85-84=1']
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[64, 18, 20, 85], Operations: []
Exploring Operation: 64-20=44, Resulting Numbers: [18, 85, 44]
Generated Node #0,0: 18:[18, 85, 44] Operation: 64-20=44
Exploring Operation: 85-64=21, Resulting Numbers: [18, 20, 21]
Generated Node #0,1: 18:[18, 20, 21] Operation: 85-64=21
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[18, 20, 21], Operations: ['85-64=21']
Exploring Operation: 21-18=3, Resulting Numbers: [20, 3]
Generated Node #0,1,0: 18:[20, 3] Operation: 21-18=3
Exploring Operation: 21-20=1, Resulting Numbers: [18, 1]
Generated Node #0,1,1: 18:[18, 1] Operation: 21-20=1
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 18:[18, 1], Operations: ['85-64=21', '21-20=1']
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[64, 18, 20, 85], Operations: []
Exploring Operation: 85-64=21, Resulting Numbers: [18, 20, 21]
Generated Node #0,1: 18:[18, 20, 21] Operation: 85-64=21
Moving to Node #0,1
Current State: 18:[18, 20, 21], Operations: ['85-64=21']
Exploring Operation: 21-20=1, Resulting Numbers: [18, 1]
Generated Node #0,1,1: 18:[18, 1] Operation: 21-20=1
Moving to Node #0,1,1
Current State: 18:[18, 1], Operations: ['85-64=21', '21-20=1']
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
87,
96,
65,
19
] | 37 | [
"96-87=9",
"65-19=46",
"46-9=37"
] | Current State: 37:[87, 96, 65, 19], Operations: []
Exploring Operation: 96-87=9, Resulting Numbers: [65, 19, 9]
Generated Node #2: [65, 19, 9] from Operation: 96-87=9
Current State: 37:[65, 19, 9], Operations: ['96-87=9']
Exploring Operation: 65-19=46, Resulting Numbers: [9, 46]
Generated Node #3: [9, 46] from Operation: 65-19=46
Current State: 37:[9, 46], Operations: ['96-87=9', '65-19=46']
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[87, 96, 65, 19], Operations: []
Exploring Operation: 87-65=22, Resulting Numbers: [96, 19, 22]
Generated Node #0,0: 37:[96, 19, 22] Operation: 87-65=22
Exploring Operation: 96-65=31, Resulting Numbers: [87, 19, 31]
Generated Node #0,1: 37:[87, 19, 31] Operation: 96-65=31
Exploring Operation: 96-87=9, Resulting Numbers: [65, 19, 9]
Generated Node #0,2: 37:[65, 19, 9] Operation: 96-87=9
Moving to Node #0,1
Current State: 37:[87, 19, 31], Operations: ['96-65=31']
Exploring Operation: 87-19=68, Resulting Numbers: [31, 68]
Generated Node #0,1,0: 37:[31, 68] Operation: 87-19=68
Exploring Operation: 87-31=56, Resulting Numbers: [19, 56]
Generated Node #0,1,1: 37:[19, 56] Operation: 87-31=56
Exploring Operation: 19+31=50, Resulting Numbers: [87, 50]
Generated Node #0,1,2: 37:[87, 50] Operation: 19+31=50
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 37:[31, 68], Operations: ['96-65=31', '87-19=68']
Exploring Operation: 31+68=99, Resulting Numbers: [99]
99,37 unequal: No Solution
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[87, 96, 65, 19], Operations: []
Exploring Operation: 96-65=31, Resulting Numbers: [87, 19, 31]
Generated Node #0,1: 37:[87, 19, 31] Operation: 96-65=31
Moving to Node #0,1
Current State: 37:[87, 19, 31], Operations: ['96-65=31']
Exploring Operation: 87-19=68, Resulting Numbers: [31, 68]
Generated Node #0,1,0: 37:[31, 68] Operation: 87-19=68
Moving to Node #0,1,0
Current State: 37:[31, 68], Operations: ['96-65=31', '87-19=68']
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
62,
56,
57,
58
] | 64 | [
"56+58=114",
"114/57=2",
"62+2=64"
] | Current State: 64:[62, 56, 57, 58], Operations: []
Exploring Operation: 56+58=114, Resulting Numbers: [62, 57, 114]
Generated Node #2: [62, 57, 114] from Operation: 56+58=114
Current State: 64:[62, 57, 114], Operations: ['56+58=114']
Exploring Operation: 114/57=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 114/57=2
Current State: 64:[62, 2], Operations: ['56+58=114', '114/57=2']
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[62, 56, 57, 58], Operations: []
Exploring Operation: 57-56=1, Resulting Numbers: [62, 58, 1]
Generated Node #0,0: 64:[62, 58, 1] Operation: 57-56=1
Moving to Node #0,0
Current State: 64:[62, 58, 1], Operations: ['57-56=1']
Exploring Operation: 62-58=4, Resulting Numbers: [1, 4]
Generated Node #0,0,0: 64:[1, 4] Operation: 62-58=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[1, 4], Operations: ['57-56=1', '62-58=4']
Exploring Operation: 1*4=4, Resulting Numbers: [4]
4,64 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 |
[
88,
24,
73,
90
] | 99 | [
"88-24=64",
"73+90=163",
"163-64=99"
] | Current State: 99:[88, 24, 73, 90], Operations: []
Exploring Operation: 88-24=64, Resulting Numbers: [73, 90, 64]
Generated Node #2: [73, 90, 64] from Operation: 88-24=64
Current State: 99:[73, 90, 64], Operations: ['88-24=64']
Exploring Operation: 73+90=163, Resulting Numbers: [64, 163]
Generated Node #3: [64, 163] from Operation: 73+90=163
Current State: 99:[64, 163], Operations: ['88-24=64', '73+90=163']
Exploring Operation: 163-64=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[88, 24, 73, 90], Operations: []
Exploring Operation: 88-73=15, Resulting Numbers: [24, 90, 15]
Generated Node #0,0: 99:[24, 90, 15] Operation: 88-73=15
Moving to Node #0,0
Current State: 99:[24, 90, 15], Operations: ['88-73=15']
Exploring Operation: 24-15=9, Resulting Numbers: [90, 9]
Generated Node #0,0,0: 99:[90, 9] Operation: 24-15=9
Moving to Node #0,0,0
Current State: 99:[90, 9], Operations: ['88-73=15', '24-15=9']
Exploring Operation: 90+9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[88, 24, 73, 90], Operations: []
Exploring Operation: 88-73=15, Resulting Numbers: [24, 90, 15]
Generated Node #0,0: 99:[24, 90, 15] Operation: 88-73=15
Moving to Node #0,0
Current State: 99:[24, 90, 15], Operations: ['88-73=15']
Exploring Operation: 24-15=9, Resulting Numbers: [90, 9]
Generated Node #0,0,0: 99:[90, 9] Operation: 24-15=9
Moving to Node #0,0,0
Current State: 99:[90, 9], Operations: ['88-73=15', '24-15=9']
Exploring Operation: 90+9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
94,
78,
17,
69
] | 69 | [
"94-78=16",
"17-16=1",
"69*1=69"
] | Current State: 69:[94, 78, 17, 69], Operations: []
Exploring Operation: 94-78=16, Resulting Numbers: [17, 69, 16]
Generated Node #2: [17, 69, 16] from Operation: 94-78=16
Current State: 69:[17, 69, 16], Operations: ['94-78=16']
Exploring Operation: 17-16=1, Resulting Numbers: [69, 1]
Generated Node #3: [69, 1] from Operation: 17-16=1
Current State: 69:[69, 1], Operations: ['94-78=16', '17-16=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[94, 78, 17, 69], Operations: []
Exploring Operation: 94-69=25, Resulting Numbers: [78, 17, 25]
Generated Node #0,0: 69:[78, 17, 25] Operation: 94-69=25
Exploring Operation: 94-78=16, Resulting Numbers: [17, 69, 16]
Generated Node #0,1: 69:[17, 69, 16] Operation: 94-78=16
Exploring Operation: 94-17=77, Resulting Numbers: [78, 69, 77]
Generated Node #0,2: 69:[78, 69, 77] Operation: 94-17=77
Start Sub Search at level 1: Moving to Node #0,1
Current State: 69:[17, 69, 16], Operations: ['94-78=16']
Exploring Operation: 17-16=1, Resulting Numbers: [69, 1]
Generated Node #0,1,0: 69:[69, 1] Operation: 17-16=1
Exploring Operation: 17+16=33, Resulting Numbers: [69, 33]
Generated Node #0,1,1: 69:[69, 33] Operation: 17+16=33
Exploring Operation: 69+16=85, Resulting Numbers: [17, 85]
Generated Node #0,1,2: 69:[17, 85] Operation: 69+16=85
Moving to Node #0,1,0
Current State: 69:[69, 1], Operations: ['94-78=16', '17-16=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[94, 78, 17, 69], Operations: []
Exploring Operation: 94-78=16, Resulting Numbers: [17, 69, 16]
Generated Node #0,1: 69:[17, 69, 16] Operation: 94-78=16
Moving to Node #0,1
Current State: 69:[17, 69, 16], Operations: ['94-78=16']
Exploring Operation: 17-16=1, Resulting Numbers: [69, 1]
Generated Node #0,1,0: 69:[69, 1] Operation: 17-16=1
Moving to Node #0,1,0
Current State: 69:[69, 1], Operations: ['94-78=16', '17-16=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
47,
5,
8,
32
] | 38 | [
"47-5=42",
"32/8=4",
"42-4=38"
] | Current State: 38:[47, 5, 8, 32], Operations: []
Exploring Operation: 47-5=42, Resulting Numbers: [8, 32, 42]
Generated Node #2: [8, 32, 42] from Operation: 47-5=42
Current State: 38:[8, 32, 42], Operations: ['47-5=42']
Exploring Operation: 32/8=4, Resulting Numbers: [42, 4]
Generated Node #3: [42, 4] from Operation: 32/8=4
Current State: 38:[42, 4], Operations: ['47-5=42', '32/8=4']
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[47, 5, 8, 32], Operations: []
Exploring Operation: 47-8=39, Resulting Numbers: [5, 32, 39]
Generated Node #0,0: 38:[5, 32, 39] Operation: 47-8=39
Exploring Operation: 47-5=42, Resulting Numbers: [8, 32, 42]
Generated Node #0,1: 38:[8, 32, 42] Operation: 47-5=42
Exploring Operation: 8+32=40, Resulting Numbers: [47, 5, 40]
Generated Node #0,2: 38:[47, 5, 40] Operation: 8+32=40
Exploring Operation: 47-32=15, Resulting Numbers: [5, 8, 15]
Generated Node #0,3: 38:[5, 8, 15] Operation: 47-32=15
Exploring Operation: 32/8=4, Resulting Numbers: [47, 5, 4]
Generated Node #0,4: 38:[47, 5, 4] Operation: 32/8=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[5, 32, 39], Operations: ['47-8=39']
Exploring Operation: 39-5=34, Resulting Numbers: [32, 34]
Generated Node #0,0,0: 38:[32, 34] Operation: 39-5=34
Exploring Operation: 32-5=27, Resulting Numbers: [39, 27]
Generated Node #0,0,1: 38:[39, 27] Operation: 32-5=27
Exploring Operation: 5+39=44, Resulting Numbers: [32, 44]
Generated Node #0,0,2: 38:[32, 44] Operation: 5+39=44
Exploring Operation: 5+32=37, Resulting Numbers: [39, 37]
Generated Node #0,0,3: 38:[39, 37] Operation: 5+32=37
Exploring Operation: 39-32=7, Resulting Numbers: [5, 7]
Generated Node #0,0,4: 38:[5, 7] Operation: 39-32=7
Moving to Node #0,0,3
Current State: 38:[39, 37], Operations: ['47-8=39', '5+32=37']
Exploring Operation: 39*37=1443, Resulting Numbers: [1443]
1443,38 unequal: No Solution
Exploring Operation: 39+37=76, Resulting Numbers: [76]
76,38 unequal: No Solution
Exploring Operation: 39-37=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Moving to Node #0,0,4
Current State: 38:[5, 7], Operations: ['47-8=39', '39-32=7']
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Moving to Node #0,0,1
Current State: 38:[39, 27], Operations: ['47-8=39', '32-5=27']
Exploring Operation: 39*27=1053, Resulting Numbers: [1053]
1053,38 unequal: No Solution
Exploring Operation: 39+27=66, Resulting Numbers: [66]
66,38 unequal: No Solution
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Moving to Node #0,0,0
Current State: 38:[32, 34], Operations: ['47-8=39', '39-5=34']
Exploring Operation: 34-32=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Exploring Operation: 32+34=66, Resulting Numbers: [66]
66,38 unequal: No Solution
Exploring Operation: 32*34=1088, Resulting Numbers: [1088]
1088,38 unequal: No Solution
Moving to Node #0,0,2
Current State: 38:[32, 44], Operations: ['47-8=39', '5+39=44']
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 32+44=76, Resulting Numbers: [76]
76,38 unequal: No Solution
Exploring Operation: 32*44=1408, Resulting Numbers: [1408]
1408,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 38:[5, 8, 15], Operations: ['47-32=15']
Exploring Operation: 5*8=40, Resulting Numbers: [15, 40]
Generated Node #0,3,0: 38:[15, 40] Operation: 5*8=40
Exploring Operation: 5+15=20, Resulting Numbers: [8, 20]
Generated Node #0,3,1: 38:[8, 20] Operation: 5+15=20
Exploring Operation: 15/5=3, Resulting Numbers: [8, 3]
Generated Node #0,3,2: 38:[8, 3] Operation: 15/5=3
Exploring Operation: 8+15=23, Resulting Numbers: [5, 23]
Generated Node #0,3,3: 38:[5, 23] Operation: 8+15=23
Exploring Operation: 8-5=3, Resulting Numbers: [15, 3]
Generated Node #0,3,4: 38:[15, 3] Operation: 8-5=3
Moving to Node #0,3,4
Current State: 38:[15, 3], Operations: ['47-32=15', '8-5=3']
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,38 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Moving to Node #0,3,0
Current State: 38:[15, 40], Operations: ['47-32=15', '5*8=40']
Exploring Operation: 15+40=55, Resulting Numbers: [55]
55,38 unequal: No Solution
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,38 unequal: No Solution
Exploring Operation: 15*40=600, Resulting Numbers: [600]
600,38 unequal: No Solution
Moving to Node #0,3,1
Current State: 38:[8, 20], Operations: ['47-32=15', '5+15=20']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 8*20=160, Resulting Numbers: [160]
160,38 unequal: No Solution
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,38 unequal: No Solution
Moving to Node #0,3,2
Current State: 38:[8, 3], Operations: ['47-32=15', '15/5=3']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,38 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Moving to Node #0,3,3
Current State: 38:[5, 23], Operations: ['47-32=15', '8+15=23']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,38 unequal: No Solution
Exploring Operation: 5*23=115, Resulting Numbers: [115]
115,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[47, 5, 40], Operations: ['8+32=40']
Exploring Operation: 40-5=35, Resulting Numbers: [47, 35]
Generated Node #0,2,0: 38:[47, 35] Operation: 40-5=35
Exploring Operation: 47-40=7, Resulting Numbers: [5, 7]
Generated Node #0,2,1: 38:[5, 7] Operation: 47-40=7
Exploring Operation: 40/5=8, Resulting Numbers: [47, 8]
Generated Node #0,2,2: 38:[47, 8] Operation: 40/5=8
Exploring Operation: 47-5=42, Resulting Numbers: [40, 42]
Generated Node #0,2,3: 38:[40, 42] Operation: 47-5=42
Exploring Operation: 47+5=52, Resulting Numbers: [40, 52]
Generated Node #0,2,4: 38:[40, 52] Operation: 47+5=52
Moving to Node #0,2,3
Current State: 38:[40, 42], Operations: ['8+32=40', '47-5=42']
Exploring Operation: 40*42=1680, Resulting Numbers: [1680]
1680,38 unequal: No Solution
Exploring Operation: 40+42=82, Resulting Numbers: [82]
82,38 unequal: No Solution
Exploring Operation: 42-40=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Moving to Node #0,2,1
Current State: 38:[5, 7], Operations: ['8+32=40', '47-40=7']
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Moving to Node #0,2,0
Current State: 38:[47, 35], Operations: ['8+32=40', '40-5=35']
Exploring Operation: 47+35=82, Resulting Numbers: [82]
82,38 unequal: No Solution
Exploring Operation: 47*35=1645, Resulting Numbers: [1645]
1645,38 unequal: No Solution
Exploring Operation: 47-35=12, Resulting Numbers: [12]
12,38 unequal: No Solution
Moving to Node #0,2,2
Current State: 38:[47, 8], Operations: ['8+32=40', '40/5=8']
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,38 unequal: No Solution
Exploring Operation: 47+8=55, Resulting Numbers: [55]
55,38 unequal: No Solution
Exploring Operation: 47*8=376, Resulting Numbers: [376]
376,38 unequal: No Solution
Moving to Node #0,2,4
Current State: 38:[40, 52], Operations: ['8+32=40', '47+5=52']
Exploring Operation: 40+52=92, Resulting Numbers: [92]
92,38 unequal: No Solution
Exploring Operation: 40*52=2080, Resulting Numbers: [2080]
2080,38 unequal: No Solution
Exploring Operation: 52-40=12, Resulting Numbers: [12]
12,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 38:[47, 5, 4], Operations: ['32/8=4']
Exploring Operation: 5-4=1, Resulting Numbers: [47, 1]
Generated Node #0,4,0: 38:[47, 1] Operation: 5-4=1
Exploring Operation: 5*4=20, Resulting Numbers: [47, 20]
Generated Node #0,4,1: 38:[47, 20] Operation: 5*4=20
Exploring Operation: 47+5=52, Resulting Numbers: [4, 52]
Generated Node #0,4,2: 38:[4, 52] Operation: 47+5=52
Exploring Operation: 47-5=42, Resulting Numbers: [4, 42]
Generated Node #0,4,3: 38:[4, 42] Operation: 47-5=42
Exploring Operation: 47-4=43, Resulting Numbers: [5, 43]
Generated Node #0,4,4: 38:[5, 43] Operation: 47-4=43
Moving to Node #0,4,3
Current State: 38:[4, 42], Operations: ['32/8=4', '47-5=42']
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[47, 5, 8, 32], Operations: []
Exploring Operation: 32/8=4, Resulting Numbers: [47, 5, 4]
Generated Node #0,4: 38:[47, 5, 4] Operation: 32/8=4
Moving to Node #0,4
Current State: 38:[47, 5, 4], Operations: ['32/8=4']
Exploring Operation: 47-5=42, Resulting Numbers: [4, 42]
Generated Node #0,4,3: 38:[4, 42] Operation: 47-5=42
Moving to Node #0,4,3
Current State: 38:[4, 42], Operations: ['32/8=4', '47-5=42']
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.934028 | hs_5 | mult_heuristic |
[
37,
38,
57,
82
] | 25 | [
"38-37=1",
"82-57=25",
"1*25=25"
] | Current State: 25:[37, 38, 57, 82], Operations: []
Exploring Operation: 38-37=1, Resulting Numbers: [57, 82, 1]
Generated Node #2: [57, 82, 1] from Operation: 38-37=1
Current State: 25:[57, 82, 1], Operations: ['38-37=1']
Exploring Operation: 82-57=25, Resulting Numbers: [1, 25]
Generated Node #3: [1, 25] from Operation: 82-57=25
Current State: 25:[1, 25], Operations: ['38-37=1', '82-57=25']
Exploring Operation: 1*25=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[37, 38, 57, 82], Operations: []
Exploring Operation: 82-57=25, Resulting Numbers: [37, 38, 25]
Generated Node #0,0: 25:[37, 38, 25] Operation: 82-57=25
Moving to Node #0,0
Current State: 25:[37, 38, 25], Operations: ['82-57=25']
Exploring Operation: 38-37=1, Resulting Numbers: [25, 1]
Generated Node #0,0,0: 25:[25, 1] Operation: 38-37=1
Moving to Node #0,0,0
Current State: 25:[25, 1], Operations: ['82-57=25', '38-37=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[37, 38, 57, 82], Operations: []
Exploring Operation: 82-57=25, Resulting Numbers: [37, 38, 25]
Generated Node #0,0: 25:[37, 38, 25] Operation: 82-57=25
Moving to Node #0,0
Current State: 25:[37, 38, 25], Operations: ['82-57=25']
Exploring Operation: 38-37=1, Resulting Numbers: [25, 1]
Generated Node #0,0,0: 25:[25, 1] Operation: 38-37=1
Moving to Node #0,0,0
Current State: 25:[25, 1], Operations: ['82-57=25', '38-37=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
17,
31,
71,
48
] | 42 | [
"31+71=102",
"102/17=6",
"48-6=42"
] | Current State: 42:[17, 31, 71, 48], Operations: []
Exploring Operation: 31+71=102, Resulting Numbers: [17, 48, 102]
Generated Node #2: [17, 48, 102] from Operation: 31+71=102
Current State: 42:[17, 48, 102], Operations: ['31+71=102']
Exploring Operation: 102/17=6, Resulting Numbers: [48, 6]
Generated Node #3: [48, 6] from Operation: 102/17=6
Current State: 42:[48, 6], Operations: ['31+71=102', '102/17=6']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[17, 31, 71, 48], Operations: []
Exploring Operation: 71-31=40, Resulting Numbers: [17, 48, 40]
Generated Node #0,0: 42:[17, 48, 40] Operation: 71-31=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[17, 48, 40], Operations: ['71-31=40']
Exploring Operation: 48-40=8, Resulting Numbers: [17, 8]
Generated Node #0,0,0: 42:[17, 8] Operation: 48-40=8
Moving to Node #0,0,0
Current State: 42:[17, 8], Operations: ['71-31=40', '48-40=8']
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,42 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 |
[
91,
41,
45,
2
] | 48 | [
"41+45=86",
"86/2=43",
"91-43=48"
] | Current State: 48:[91, 41, 45, 2], Operations: []
Exploring Operation: 41+45=86, Resulting Numbers: [91, 2, 86]
Generated Node #2: [91, 2, 86] from Operation: 41+45=86
Current State: 48:[91, 2, 86], Operations: ['41+45=86']
Exploring Operation: 86/2=43, Resulting Numbers: [91, 43]
Generated Node #3: [91, 43] from Operation: 86/2=43
Current State: 48:[91, 43], Operations: ['41+45=86', '86/2=43']
Exploring Operation: 91-43=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[91, 41, 45, 2], Operations: []
Exploring Operation: 91-41=50, Resulting Numbers: [45, 2, 50]
Generated Node #0,0: 48:[45, 2, 50] Operation: 91-41=50
Moving to Node #0,0
Current State: 48:[45, 2, 50], Operations: ['91-41=50']
Exploring Operation: 50-45=5, Resulting Numbers: [2, 5]
Generated Node #0,0,0: 48:[2, 5] Operation: 50-45=5
Moving to Node #0,0,0
Current State: 48:[2, 5], Operations: ['91-41=50', '50-45=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,48 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
42,
93,
4,
29
] | 41 | [
"42+93=135",
"29+135=164",
"164/4=41"
] | Current State: 41:[42, 93, 4, 29], Operations: []
Exploring Operation: 42+93=135, Resulting Numbers: [4, 29, 135]
Generated Node #2: [4, 29, 135] from Operation: 42+93=135
Current State: 41:[4, 29, 135], Operations: ['42+93=135']
Exploring Operation: 29+135=164, Resulting Numbers: [4, 164]
Generated Node #3: [4, 164] from Operation: 29+135=164
Current State: 41:[4, 164], Operations: ['42+93=135', '29+135=164']
Exploring Operation: 164/4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[42, 93, 4, 29], Operations: []
Exploring Operation: 93-4=89, Resulting Numbers: [42, 29, 89]
Generated Node #0,0: 41:[42, 29, 89] Operation: 93-4=89
Exploring Operation: 93-42=51, Resulting Numbers: [4, 29, 51]
Generated Node #0,1: 41:[4, 29, 51] Operation: 93-42=51
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[4, 29, 51], Operations: ['93-42=51']
Exploring Operation: 51-4=47, Resulting Numbers: [29, 47]
Generated Node #0,1,0: 41:[29, 47] Operation: 51-4=47
Exploring Operation: 4+29=33, Resulting Numbers: [51, 33]
Generated Node #0,1,1: 41:[51, 33] Operation: 4+29=33
Moving to Node #0,1,0
Current State: 41:[29, 47], Operations: ['93-42=51', '51-4=47']
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 29+47=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Moving to Node #0,1,1
Current State: 41:[51, 33], Operations: ['93-42=51', '4+29=33']
Exploring Operation: 51-33=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 51+33=84, Resulting Numbers: [84]
84,41 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 #0,0
Current State: 41:[42, 29, 89], Operations: ['93-4=89']
Exploring Operation: 89-42=47, Resulting Numbers: [29, 47]
Generated Node #0,0,0: 41:[29, 47] Operation: 89-42=47
Exploring Operation: 89-29=60, Resulting Numbers: [42, 60]
Generated Node #0,0,1: 41:[42, 60] Operation: 89-29=60
Moving to Node #0,0,0
Current State: 41:[29, 47], Operations: ['93-4=89', '89-42=47']
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 29+47=76, Resulting Numbers: [76]
76,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[42, 60], Operations: ['93-4=89', '89-29=60']
Exploring Operation: 42+60=102, Resulting Numbers: [102]
102,41 unequal: No Solution
Exploring Operation: 60-42=18, Resulting Numbers: [18]
18,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
5,
59,
49,
8
] | 16 | [
"59-49=10",
"10/5=2",
"8*2=16"
] | Current State: 16:[5, 59, 49, 8], Operations: []
Exploring Operation: 59-49=10, Resulting Numbers: [5, 8, 10]
Generated Node #2: [5, 8, 10] from Operation: 59-49=10
Current State: 16:[5, 8, 10], Operations: ['59-49=10']
Exploring Operation: 10/5=2, Resulting Numbers: [8, 2]
Generated Node #3: [8, 2] from Operation: 10/5=2
Current State: 16:[8, 2], Operations: ['59-49=10', '10/5=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[5, 59, 49, 8], Operations: []
Exploring Operation: 59-8=51, Resulting Numbers: [5, 49, 51]
Generated Node #0,0: 16:[5, 49, 51] Operation: 59-8=51
Exploring Operation: 59-49=10, Resulting Numbers: [5, 8, 10]
Generated Node #0,1: 16:[5, 8, 10] Operation: 59-49=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[5, 8, 10], Operations: ['59-49=10']
Exploring Operation: 10/5=2, Resulting Numbers: [8, 2]
Generated Node #0,1,0: 16:[8, 2] Operation: 10/5=2
Exploring Operation: 5+10=15, Resulting Numbers: [8, 15]
Generated Node #0,1,1: 16:[8, 15] Operation: 5+10=15
Moving to Node #0,1,0
Current State: 16:[8, 2], Operations: ['59-49=10', '10/5=2']
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[5, 59, 49, 8], Operations: []
Exploring Operation: 59-49=10, Resulting Numbers: [5, 8, 10]
Generated Node #0,1: 16:[5, 8, 10] Operation: 59-49=10
Moving to Node #0,1
Current State: 16:[5, 8, 10], Operations: ['59-49=10']
Exploring Operation: 10/5=2, Resulting Numbers: [8, 2]
Generated Node #0,1,0: 16:[8, 2] Operation: 10/5=2
Moving to Node #0,1,0
Current State: 16:[8, 2], Operations: ['59-49=10', '10/5=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
54,
56,
20,
29
] | 22 | [
"56-29=27",
"54/27=2",
"20+2=22"
] | Current State: 22:[54, 56, 20, 29], Operations: []
Exploring Operation: 56-29=27, Resulting Numbers: [54, 20, 27]
Generated Node #2: [54, 20, 27] from Operation: 56-29=27
Current State: 22:[54, 20, 27], Operations: ['56-29=27']
Exploring Operation: 54/27=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 54/27=2
Current State: 22:[20, 2], Operations: ['56-29=27', '54/27=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[54, 56, 20, 29], Operations: []
Exploring Operation: 56-29=27, Resulting Numbers: [54, 20, 27]
Generated Node #0,0: 22:[54, 20, 27] Operation: 56-29=27
Exploring Operation: 54-29=25, Resulting Numbers: [56, 20, 25]
Generated Node #0,1: 22:[56, 20, 25] Operation: 54-29=25
Exploring Operation: 56-54=2, Resulting Numbers: [20, 29, 2]
Generated Node #0,2: 22:[20, 29, 2] Operation: 56-54=2
Moving to Node #0,2
Current State: 22:[20, 29, 2], Operations: ['56-54=2']
Exploring Operation: 29-20=9, Resulting Numbers: [2, 9]
Generated Node #0,2,0: 22:[2, 9] Operation: 29-20=9
Exploring Operation: 20+2=22, Resulting Numbers: [29, 22]
Generated Node #0,2,1: 22:[29, 22] Operation: 20+2=22
Exploring Operation: 29-2=27, Resulting Numbers: [20, 27]
Generated Node #0,2,2: 22:[20, 27] Operation: 29-2=27
Moving to Node #0,0
Current State: 22:[54, 20, 27], Operations: ['56-29=27']
Exploring Operation: 54/27=2, Resulting Numbers: [20, 2]
Generated Node #0,0,0: 22:[20, 2] Operation: 54/27=2
Exploring Operation: 54-27=27, Resulting Numbers: [20, 27]
Generated Node #0,0,1: 22:[20, 27] Operation: 54-27=27
Exploring Operation: 54-20=34, Resulting Numbers: [27, 34]
Generated Node #0,0,2: 22:[27, 34] Operation: 54-20=34
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[20, 2], Operations: ['56-29=27', '54/27=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,22 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,22 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[54, 56, 20, 29], Operations: []
Exploring Operation: 56-29=27, Resulting Numbers: [54, 20, 27]
Generated Node #0,0: 22:[54, 20, 27] Operation: 56-29=27
Moving to Node #0,0
Current State: 22:[54, 20, 27], Operations: ['56-29=27']
Exploring Operation: 54/27=2, Resulting Numbers: [20, 2]
Generated Node #0,0,0: 22:[20, 2] Operation: 54/27=2
Moving to Node #0,0,0
Current State: 22:[20, 2], Operations: ['56-29=27', '54/27=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
3,
47,
96,
77
] | 42 | [
"96-47=49",
"77+49=126",
"126/3=42"
] | Current State: 42:[3, 47, 96, 77], Operations: []
Exploring Operation: 96-47=49, Resulting Numbers: [3, 77, 49]
Generated Node #2: [3, 77, 49] from Operation: 96-47=49
Current State: 42:[3, 77, 49], Operations: ['96-47=49']
Exploring Operation: 77+49=126, Resulting Numbers: [3, 126]
Generated Node #3: [3, 126] from Operation: 77+49=126
Current State: 42:[3, 126], Operations: ['96-47=49', '77+49=126']
Exploring Operation: 126/3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[3, 47, 96, 77], Operations: []
Exploring Operation: 96-77=19, Resulting Numbers: [3, 47, 19]
Generated Node #0,0: 42:[3, 47, 19] Operation: 96-77=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[3, 47, 19], Operations: ['96-77=19']
Exploring Operation: 47-3=44, Resulting Numbers: [19, 44]
Generated Node #0,0,0: 42:[19, 44] Operation: 47-3=44
Moving to Node #0,0,0
Current State: 42:[19, 44], Operations: ['96-77=19', '47-3=44']
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
5,
73,
73,
17
] | 77 | [
"73-5=68",
"68/17=4",
"73+4=77"
] | Current State: 77:[5, 73, 73, 17], Operations: []
Exploring Operation: 73-5=68, Resulting Numbers: [17, 68]
Generated Node #2: [17, 68] from Operation: 73-5=68
Current State: 77:[17, 68], Operations: ['73-5=68']
Exploring Operation: 68/17=4, Resulting Numbers: [4]
4,77 equal: Goal Reached
Exploring Operation: 73+4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[5, 73, 73, 17], Operations: []
Exploring Operation: 17-5=12, Resulting Numbers: [73, 73, 12]
Generated Node #0,0: 77:[73, 73, 12] Operation: 17-5=12
Moving to Node #0,0
Current State: 77:[73, 73, 12], Operations: ['17-5=12']
Exploring Operation: 73/73=1, Resulting Numbers: [12, 1]
Generated Node #0,0,0: 77:[12, 1] Operation: 73/73=1
Moving to Node #0,0,0
Current State: 77:[12, 1], Operations: ['17-5=12', '73/73=1']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,77 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
88,
10,
47,
12
] | 15 | [
"88+47=135",
"10*12=120",
"135-120=15"
] | Current State: 15:[88, 10, 47, 12], Operations: []
Exploring Operation: 88+47=135, Resulting Numbers: [10, 12, 135]
Generated Node #2: [10, 12, 135] from Operation: 88+47=135
Current State: 15:[10, 12, 135], Operations: ['88+47=135']
Exploring Operation: 10*12=120, Resulting Numbers: [135, 120]
Generated Node #3: [135, 120] from Operation: 10*12=120
Current State: 15:[135, 120], Operations: ['88+47=135', '10*12=120']
Exploring Operation: 135-120=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[88, 10, 47, 12], Operations: []
Exploring Operation: 88-10=78, Resulting Numbers: [47, 12, 78]
Generated Node #0,0: 15:[47, 12, 78] Operation: 88-10=78
Exploring Operation: 88-47=41, Resulting Numbers: [10, 12, 41]
Generated Node #0,1: 15:[10, 12, 41] Operation: 88-47=41
Exploring Operation: 88-12=76, Resulting Numbers: [10, 47, 76]
Generated Node #0,2: 15:[10, 47, 76] Operation: 88-12=76
Exploring Operation: 47-10=37, Resulting Numbers: [88, 12, 37]
Generated Node #0,3: 15:[88, 12, 37] Operation: 47-10=37
Moving to Node #0,1
Current State: 15:[10, 12, 41], Operations: ['88-47=41']
Exploring Operation: 12-10=2, Resulting Numbers: [41, 2]
Generated Node #0,1,0: 15:[41, 2] Operation: 12-10=2
Exploring Operation: 41-12=29, Resulting Numbers: [10, 29]
Generated Node #0,1,1: 15:[10, 29] Operation: 41-12=29
Exploring Operation: 41-10=31, Resulting Numbers: [12, 31]
Generated Node #0,1,2: 15:[12, 31] Operation: 41-10=31
Exploring Operation: 10+12=22, Resulting Numbers: [41, 22]
Generated Node #0,1,3: 15:[41, 22] Operation: 10+12=22
Moving to Node #0,2
Current State: 15:[10, 47, 76], Operations: ['88-12=76']
Exploring Operation: 47-10=37, Resulting Numbers: [76, 37]
Generated Node #0,2,0: 15:[76, 37] Operation: 47-10=37
Exploring Operation: 76-47=29, Resulting Numbers: [10, 29]
Generated Node #0,2,1: 15:[10, 29] Operation: 76-47=29
Exploring Operation: 76-10=66, Resulting Numbers: [47, 66]
Generated Node #0,2,2: 15:[47, 66] Operation: 76-10=66
Exploring Operation: 10+47=57, Resulting Numbers: [76, 57]
Generated Node #0,2,3: 15:[76, 57] Operation: 10+47=57
Moving to Node #0,0
Current State: 15:[47, 12, 78], Operations: ['88-10=78']
Exploring Operation: 78-12=66, Resulting Numbers: [47, 66]
Generated Node #0,0,0: 15:[47, 66] Operation: 78-12=66
Exploring Operation: 78-47=31, Resulting Numbers: [12, 31]
Generated Node #0,0,1: 15:[12, 31] Operation: 78-47=31
Exploring Operation: 47+12=59, Resulting Numbers: [78, 59]
Generated Node #0,0,2: 15:[78, 59] Operation: 47+12=59
Exploring Operation: 47-12=35, Resulting Numbers: [78, 35]
Generated Node #0,0,3: 15:[78, 35] Operation: 47-12=35
Moving to Node #0,3
Current State: 15:[88, 12, 37], Operations: ['47-10=37']
Exploring Operation: 37-12=25, Resulting Numbers: [88, 25]
Generated Node #0,3,0: 15:[88, 25] Operation: 37-12=25
Exploring Operation: 88-12=76, Resulting Numbers: [37, 76]
Generated Node #0,3,1: 15:[37, 76] Operation: 88-12=76
Exploring Operation: 88-37=51, Resulting Numbers: [12, 51]
Generated Node #0,3,2: 15:[12, 51] Operation: 88-37=51
Exploring Operation: 88+12=100, Resulting Numbers: [37, 100]
Generated Node #0,3,3: 15:[37, 100] Operation: 88+12=100
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 15:[12, 51], Operations: ['47-10=37', '88-37=51']
Exploring Operation: 12+51=63, Resulting Numbers: [63]
63,15 unequal: No Solution
Exploring Operation: 12*51=612, Resulting Numbers: [612]
612,15 unequal: No Solution
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 15:[88, 25], Operations: ['47-10=37', '37-12=25']
Exploring Operation: 88+25=113, Resulting Numbers: [113]
113,15 unequal: No Solution
Exploring Operation: 88-25=63, Resulting Numbers: [63]
63,15 unequal: No Solution
Exploring Operation: 88*25=2200, Resulting Numbers: [2200]
2200,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 15:[37, 76], Operations: ['47-10=37', '88-12=76']
Exploring Operation: 37+76=113, Resulting Numbers: [113]
113,15 unequal: No Solution
Exploring Operation: 37*76=2812, Resulting Numbers: [2812]
2812,15 unequal: No Solution
Exploring Operation: 76-37=39, Resulting Numbers: [39]
39,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 15:[37, 100], Operations: ['47-10=37', '88+12=100']
Exploring Operation: 37*100=3700, Resulting Numbers: [3700]
3700,15 unequal: No Solution
Exploring Operation: 37+100=137, Resulting Numbers: [137]
137,15 unequal: No Solution
Exploring Operation: 100-37=63, Resulting Numbers: [63]
63,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 15:[10, 29], Operations: ['88-47=41', '41-12=29']
Exploring Operation: 10+29=39, Resulting Numbers: [39]
39,15 unequal: No Solution
Exploring Operation: 10*29=290, Resulting Numbers: [290]
290,15 unequal: No Solution
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[12, 31], Operations: ['88-47=41', '41-10=31']
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 12*31=372, Resulting Numbers: [372]
372,15 unequal: No Solution
Exploring Operation: 12+31=43, Resulting Numbers: [43]
43,15 unequal: No Solution
Moving to Node #0,2,1
Current State: 15:[10, 29], Operations: ['88-12=76', '76-47=29']
Exploring Operation: 10*29=290, Resulting Numbers: [290]
290,15 unequal: No Solution
Exploring Operation: 10+29=39, Resulting Numbers: [39]
39,15 unequal: No Solution
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[12, 31], Operations: ['88-10=78', '78-47=31']
Exploring Operation: 12+31=43, Resulting Numbers: [43]
43,15 unequal: No Solution
Exploring Operation: 12*31=372, Resulting Numbers: [372]
372,15 unequal: No Solution
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[41, 2], Operations: ['88-47=41', '12-10=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,15 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,15 unequal: No Solution
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,15 unequal: No Solution
Moving to Node #0,1,3
Current State: 15:[41, 22], Operations: ['88-47=41', '10+12=22']
Exploring Operation: 41*22=902, Resulting Numbers: [902]
902,15 unequal: No Solution
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 41+22=63, Resulting Numbers: [63]
63,15 unequal: No Solution
Moving to Node #0,2,2
Current State: 15:[47, 66], Operations: ['88-12=76', '76-10=66']
Exploring Operation: 47*66=3102, Resulting Numbers: [3102]
3102,15 unequal: No Solution
Exploring Operation: 66-47=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 47+66=113, Resulting Numbers: [113]
113,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[76, 37], Operations: ['88-12=76', '47-10=37']
Exploring Operation: 76-37=39, Resulting Numbers: [39]
39,15 unequal: No Solution
Exploring Operation: 76*37=2812, Resulting Numbers: [2812]
2812,15 unequal: No Solution
Exploring Operation: 76+37=113, Resulting Numbers: [113]
113,15 unequal: No Solution
Moving to Node #0,0,3
Current State: 15:[78, 35], Operations: ['88-10=78', '47-12=35']
Exploring Operation: 78-35=43, Resulting Numbers: [43]
43,15 unequal: No Solution
Exploring Operation: 78+35=113, Resulting Numbers: [113]
113,15 unequal: No Solution
Exploring Operation: 78*35=2730, Resulting Numbers: [2730]
2730,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[47, 66], Operations: ['88-10=78', '78-12=66']
Exploring Operation: 47+66=113, Resulting Numbers: [113]
113,15 unequal: No Solution
Exploring Operation: 66-47=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 47*66=3102, Resulting Numbers: [3102]
3102,15 unequal: No Solution
Moving to Node #0,2,3
Current State: 15:[76, 57], Operations: ['88-12=76', '10+47=57']
Exploring Operation: 76*57=4332, Resulting Numbers: [4332]
4332,15 unequal: No Solution
Exploring Operation: 76+57=133, Resulting Numbers: [133]
133,15 unequal: No Solution
Exploring Operation: 76-57=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[78, 59], Operations: ['88-10=78', '47+12=59']
Exploring Operation: 78-59=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 78+59=137, Resulting Numbers: [137]
137,15 unequal: No Solution
Exploring Operation: 78*59=4602, Resulting Numbers: [4602]
4602,15 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
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