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 |
|---|---|---|---|---|---|---|---|---|
[
39,
43,
14,
57
] | 11 | [
"39+43=82",
"14+57=71",
"82-71=11"
] | Current State: 11:[39, 43, 14, 57], Operations: []
Exploring Operation: 39+43=82, Resulting Numbers: [14, 57, 82]
Generated Node #2: [14, 57, 82] from Operation: 39+43=82
Current State: 11:[14, 57, 82], Operations: ['39+43=82']
Exploring Operation: 14+57=71, Resulting Numbers: [82, 71]
Generated Node #3: [82, 71] from Operation: 14+57=71
Current State: 11:[82, 71], Operations: ['39+43=82', '14+57=71']
Exploring Operation: 82-71=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[39, 43, 14, 57], Operations: []
Exploring Operation: 57-43=14, Resulting Numbers: [39, 14, 14]
Generated Node #0,0: 11:[39, 14, 14] Operation: 57-43=14
Exploring Operation: 57-39=18, Resulting Numbers: [43, 14, 18]
Generated Node #0,1: 11:[43, 14, 18] Operation: 57-39=18
Exploring Operation: 43-39=4, Resulting Numbers: [14, 57, 4]
Generated Node #0,2: 11:[14, 57, 4] Operation: 43-39=4
Moving to Node #0,0
Current State: 11:[39, 14, 14], Operations: ['57-43=14']
Exploring Operation: 39-14=25, Resulting Numbers: [14, 25]
Generated Node #0,0,0: 11:[14, 25] Operation: 39-14=25
Exploring Operation: 39-14=25, Resulting Numbers: [14, 25]
Generated Node #0,0,1: 11:[14, 25] Operation: 39-14=25
Exploring Operation: 14/14=1, Resulting Numbers: [39, 1]
Generated Node #0,0,2: 11:[39, 1] Operation: 14/14=1
Moving to Node #0,1
Current State: 11:[43, 14, 18], Operations: ['57-39=18']
Exploring Operation: 18-14=4, Resulting Numbers: [43, 4]
Generated Node #0,1,0: 11:[43, 4] Operation: 18-14=4
Exploring Operation: 43-18=25, Resulting Numbers: [14, 25]
Generated Node #0,1,1: 11:[14, 25] Operation: 43-18=25
Exploring Operation: 43-14=29, Resulting Numbers: [18, 29]
Generated Node #0,1,2: 11:[18, 29] Operation: 43-14=29
Moving to Node #0,2
Current State: 11:[14, 57, 4], Operations: ['43-39=4']
Exploring Operation: 14-4=10, Resulting Numbers: [57, 10]
Generated Node #0,2,0: 11:[57, 10] Operation: 14-4=10
Exploring Operation: 57-4=53, Resulting Numbers: [14, 53]
Generated Node #0,2,1: 11:[14, 53] Operation: 57-4=53
Exploring Operation: 57-14=43, Resulting Numbers: [4, 43]
Generated Node #0,2,2: 11:[4, 43] Operation: 57-14=43
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 11:[4, 43], Operations: ['43-39=4', '57-14=43']
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,11 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,11 unequal: No Solution
Exploring Operation: 4*43=172, Resulting Numbers: [172]
172,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 11:[14, 53], Operations: ['43-39=4', '57-4=53']
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,11 unequal: No Solution
Exploring Operation: 14*53=742, Resulting Numbers: [742]
742,11 unequal: No Solution
Exploring Operation: 14+53=67, Resulting Numbers: [67]
67,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 11:[57, 10], Operations: ['43-39=4', '14-4=10']
Exploring Operation: 57+10=67, Resulting Numbers: [67]
67,11 unequal: No Solution
Exploring Operation: 57*10=570, Resulting Numbers: [570]
570,11 unequal: No Solution
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,11 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: 11:[14, 25], Operations: ['57-43=14', '39-14=25']
Exploring Operation: 14+25=39, Resulting Numbers: [39]
39,11 unequal: No Solution
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[39, 43, 14, 57], Operations: []
Exploring Operation: 57-43=14, Resulting Numbers: [39, 14, 14]
Generated Node #0,0: 11:[39, 14, 14] Operation: 57-43=14
Moving to Node #0,0
Current State: 11:[39, 14, 14], Operations: ['57-43=14']
Exploring Operation: 39-14=25, Resulting Numbers: [14, 25]
Generated Node #0,0,0: 11:[14, 25] Operation: 39-14=25
Moving to Node #0,0,0
Current State: 11:[14, 25], Operations: ['57-43=14', '39-14=25']
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 0.976563 | hs_3 | mult_heuristic |
[
22,
86,
4,
14
] | 28 | [
"22*4=88",
"88-86=2",
"14*2=28"
] | Current State: 28:[22, 86, 4, 14], Operations: []
Exploring Operation: 22*4=88, Resulting Numbers: [86, 14, 88]
Generated Node #2: [86, 14, 88] from Operation: 22*4=88
Current State: 28:[86, 14, 88], Operations: ['22*4=88']
Exploring Operation: 88-86=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 88-86=2
Current State: 28:[14, 2], Operations: ['22*4=88', '88-86=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[22, 86, 4, 14], Operations: []
Exploring Operation: 86-22=64, Resulting Numbers: [4, 14, 64]
Generated Node #0,0: 28:[4, 14, 64] Operation: 86-22=64
Exploring Operation: 86-14=72, Resulting Numbers: [22, 4, 72]
Generated Node #0,1: 28:[22, 4, 72] Operation: 86-14=72
Moving to Node #0,0
Current State: 28:[4, 14, 64], Operations: ['86-22=64']
Exploring Operation: 64-14=50, Resulting Numbers: [4, 50]
Generated Node #0,0,0: 28:[4, 50] Operation: 64-14=50
Exploring Operation: 64/4=16, Resulting Numbers: [14, 16]
Generated Node #0,0,1: 28:[14, 16] Operation: 64/4=16
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 28:[14, 16], Operations: ['86-22=64', '64/4=16']
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,28 unequal: No Solution
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[4, 50], Operations: ['86-22=64', '64-14=50']
Exploring Operation: 4+50=54, Resulting Numbers: [54]
54,28 unequal: No Solution
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,28 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: 28:[22, 4, 72], Operations: ['86-14=72']
Exploring Operation: 72-22=50, Resulting Numbers: [4, 50]
Generated Node #0,1,0: 28:[4, 50] Operation: 72-22=50
Exploring Operation: 72/4=18, Resulting Numbers: [22, 18]
Generated Node #0,1,1: 28:[22, 18] Operation: 72/4=18
Moving to Node #0,1,1
Current State: 28:[22, 18], Operations: ['86-14=72', '72/4=18']
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,28 unequal: No Solution
Exploring Operation: 22+18=40, Resulting Numbers: [40]
40,28 unequal: No Solution
Moving to Node #0,1,0
Current State: 28:[4, 50], Operations: ['86-14=72', '72-22=50']
Exploring Operation: 4+50=54, Resulting Numbers: [54]
54,28 unequal: No Solution
Exploring Operation: 50-4=46, Resulting Numbers: [46]
46,28 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
35,
69,
25,
8
] | 72 | [
"69-35=34",
"34-25=9",
"8*9=72"
] | Current State: 72:[35, 69, 25, 8], Operations: []
Exploring Operation: 69-35=34, Resulting Numbers: [25, 8, 34]
Generated Node #2: [25, 8, 34] from Operation: 69-35=34
Current State: 72:[25, 8, 34], Operations: ['69-35=34']
Exploring Operation: 34-25=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 34-25=9
Current State: 72:[8, 9], Operations: ['69-35=34', '34-25=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[35, 69, 25, 8], Operations: []
Exploring Operation: 69-35=34, Resulting Numbers: [25, 8, 34]
Generated Node #0,0: 72:[25, 8, 34] Operation: 69-35=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[25, 8, 34], Operations: ['69-35=34']
Exploring Operation: 34-25=9, Resulting Numbers: [8, 9]
Generated Node #0,0,0: 72:[8, 9] Operation: 34-25=9
Moving to Node #0,0,0
Current State: 72:[8, 9], Operations: ['69-35=34', '34-25=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[35, 69, 25, 8], Operations: []
Exploring Operation: 69-35=34, Resulting Numbers: [25, 8, 34]
Generated Node #0,0: 72:[25, 8, 34] Operation: 69-35=34
Moving to Node #0,0
Current State: 72:[25, 8, 34], Operations: ['69-35=34']
Exploring Operation: 34-25=9, Resulting Numbers: [8, 9]
Generated Node #0,0,0: 72:[8, 9] Operation: 34-25=9
Moving to Node #0,0,0
Current State: 72:[8, 9], Operations: ['69-35=34', '34-25=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
32,
10,
23,
16
] | 56 | [
"32*23=736",
"736/16=46",
"10+46=56"
] | Current State: 56:[32, 10, 23, 16], Operations: []
Exploring Operation: 32*23=736, Resulting Numbers: [10, 16, 736]
Generated Node #2: [10, 16, 736] from Operation: 32*23=736
Current State: 56:[10, 16, 736], Operations: ['32*23=736']
Exploring Operation: 736/16=46, Resulting Numbers: [10, 46]
Generated Node #3: [10, 46] from Operation: 736/16=46
Current State: 56:[10, 46], Operations: ['32*23=736', '736/16=46']
Exploring Operation: 10+46=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[32, 10, 23, 16], Operations: []
Exploring Operation: 32+23=55, Resulting Numbers: [10, 16, 55]
Generated Node #0,0: 56:[10, 16, 55] Operation: 32+23=55
Exploring Operation: 23-16=7, Resulting Numbers: [32, 10, 7]
Generated Node #0,1: 56:[32, 10, 7] Operation: 23-16=7
Exploring Operation: 32/16=2, Resulting Numbers: [10, 23, 2]
Generated Node #0,2: 56:[10, 23, 2] Operation: 32/16=2
Exploring Operation: 23-10=13, Resulting Numbers: [32, 16, 13]
Generated Node #0,3: 56:[32, 16, 13] Operation: 23-10=13
Exploring Operation: 32-23=9, Resulting Numbers: [10, 16, 9]
Generated Node #0,4: 56:[10, 16, 9] Operation: 32-23=9
Moving to Node #0,0
Current State: 56:[10, 16, 55], Operations: ['32+23=55']
Exploring Operation: 16-10=6, Resulting Numbers: [55, 6]
Generated Node #0,0,0: 56:[55, 6] Operation: 16-10=6
Exploring Operation: 10+55=65, Resulting Numbers: [16, 65]
Generated Node #0,0,1: 56:[16, 65] Operation: 10+55=65
Exploring Operation: 55-10=45, Resulting Numbers: [16, 45]
Generated Node #0,0,2: 56:[16, 45] Operation: 55-10=45
Exploring Operation: 10+16=26, Resulting Numbers: [55, 26]
Generated Node #0,0,3: 56:[55, 26] Operation: 10+16=26
Exploring Operation: 55-16=39, Resulting Numbers: [10, 39]
Generated Node #0,0,4: 56:[10, 39] Operation: 55-16=39
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[55, 6], Operations: ['32+23=55', '16-10=6']
Exploring Operation: 55*6=330, Resulting Numbers: [330]
330,56 unequal: No Solution
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 55+6=61, Resulting Numbers: [61]
61,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 56:[55, 26], Operations: ['32+23=55', '10+16=26']
Exploring Operation: 55*26=1430, Resulting Numbers: [1430]
1430,56 unequal: No Solution
Exploring Operation: 55+26=81, Resulting Numbers: [81]
81,56 unequal: No Solution
Exploring Operation: 55-26=29, Resulting Numbers: [29]
29,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 56:[16, 65], Operations: ['32+23=55', '10+55=65']
Exploring Operation: 16+65=81, Resulting Numbers: [81]
81,56 unequal: No Solution
Exploring Operation: 65-16=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 16*65=1040, Resulting Numbers: [1040]
1040,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 56:[16, 45], Operations: ['32+23=55', '55-10=45']
Exploring Operation: 16*45=720, Resulting Numbers: [720]
720,56 unequal: No Solution
Exploring Operation: 16+45=61, Resulting Numbers: [61]
61,56 unequal: No Solution
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 56:[10, 39], Operations: ['32+23=55', '55-16=39']
Exploring Operation: 39-10=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 10*39=390, Resulting Numbers: [390]
390,56 unequal: No Solution
Exploring Operation: 10+39=49, Resulting Numbers: [49]
49,56 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: 56:[10, 16, 9], Operations: ['32-23=9']
Exploring Operation: 16-10=6, Resulting Numbers: [9, 6]
Generated Node #0,4,0: 56:[9, 6] Operation: 16-10=6
Exploring Operation: 10-9=1, Resulting Numbers: [16, 1]
Generated Node #0,4,1: 56:[16, 1] Operation: 10-9=1
Exploring Operation: 16+9=25, Resulting Numbers: [10, 25]
Generated Node #0,4,2: 56:[10, 25] Operation: 16+9=25
Exploring Operation: 10+16=26, Resulting Numbers: [9, 26]
Generated Node #0,4,3: 56:[9, 26] Operation: 10+16=26
Exploring Operation: 16-9=7, Resulting Numbers: [10, 7]
Generated Node #0,4,4: 56:[10, 7] Operation: 16-9=7
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 56:[9, 6], Operations: ['32-23=9', '16-10=6']
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,56 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 #0,4,4
Current State: 56:[10, 7], Operations: ['32-23=9', '16-9=7']
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,56 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,56 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 #0,4,1
Current State: 56:[16, 1], Operations: ['32-23=9', '10-9=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,56 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,56 unequal: No Solution
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,56 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 #0,4,3
Current State: 56:[9, 26], Operations: ['32-23=9', '10+16=26']
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,56 unequal: No Solution
Exploring Operation: 9*26=234, Resulting Numbers: [234]
234,56 unequal: No Solution
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,56 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 #0,4,2
Current State: 56:[10, 25], Operations: ['32-23=9', '16+9=25']
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 10*25=250, Resulting Numbers: [250]
250,56 unequal: No Solution
Exploring Operation: 10+25=35, Resulting Numbers: [35]
35,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 56:[32, 10, 7], Operations: ['23-16=7']
Exploring Operation: 32+7=39, Resulting Numbers: [10, 39]
Generated Node #0,1,0: 56:[10, 39] Operation: 32+7=39
Exploring Operation: 10-7=3, Resulting Numbers: [32, 3]
Generated Node #0,1,1: 56:[32, 3] Operation: 10-7=3
Exploring Operation: 32-7=25, Resulting Numbers: [10, 25]
Generated Node #0,1,2: 56:[10, 25] Operation: 32-7=25
Exploring Operation: 32-10=22, Resulting Numbers: [7, 22]
Generated Node #0,1,3: 56:[7, 22] Operation: 32-10=22
Exploring Operation: 10+7=17, Resulting Numbers: [32, 17]
Generated Node #0,1,4: 56:[32, 17] Operation: 10+7=17
Moving to Node #0,2
Current State: 56:[10, 23, 2], Operations: ['32/16=2']
Exploring Operation: 10-2=8, Resulting Numbers: [23, 8]
Generated Node #0,2,0: 56:[23, 8] Operation: 10-2=8
Exploring Operation: 10+23=33, Resulting Numbers: [2, 33]
Generated Node #0,2,1: 56:[2, 33] Operation: 10+23=33
Exploring Operation: 10/2=5, Resulting Numbers: [23, 5]
Generated Node #0,2,2: 56:[23, 5] Operation: 10/2=5
Exploring Operation: 23-10=13, Resulting Numbers: [2, 13]
Generated Node #0,2,3: 56:[2, 13] Operation: 23-10=13
Exploring Operation: 23+2=25, Resulting Numbers: [10, 25]
Generated Node #0,2,4: 56:[10, 25] Operation: 23+2=25
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 56:[2, 13], Operations: ['32/16=2', '23-10=13']
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,56 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 #0,2,0
Current State: 56:[23, 8], Operations: ['32/16=2', '10-2=8']
Exploring Operation: 23*8=184, Resulting Numbers: [184]
184,56 unequal: No Solution
Exploring Operation: 23+8=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,56 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 #0,2,1
Current State: 56:[2, 33], Operations: ['32/16=2', '10+23=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,56 unequal: No Solution
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,56 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,56 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 #0,2,4
Current State: 56:[10, 25], Operations: ['32/16=2', '23+2=25']
Exploring Operation: 10+25=35, Resulting Numbers: [35]
35,56 unequal: No Solution
Exploring Operation: 10*25=250, Resulting Numbers: [250]
250,56 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,56 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 #0,2,2
Current State: 56:[23, 5], Operations: ['32/16=2', '10/2=5']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,56 unequal: No Solution
Exploring Operation: 23*5=115, Resulting Numbers: [115]
115,56 unequal: No Solution
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,56 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: 56:[32, 16, 13], Operations: ['23-10=13']
Exploring Operation: 32-13=19, Resulting Numbers: [16, 19]
Generated Node #0,3,0: 56:[16, 19] Operation: 32-13=19
Exploring Operation: 32-16=16, Resulting Numbers: [13, 16]
Generated Node #0,3,1: 56:[13, 16] Operation: 32-16=16
Exploring Operation: 16+13=29, Resulting Numbers: [32, 29]
Generated Node #0,3,2: 56:[32, 29] Operation: 16+13=29
Exploring Operation: 32/16=2, Resulting Numbers: [13, 2]
Generated Node #0,3,3: 56:[13, 2] Operation: 32/16=2
Exploring Operation: 16-13=3, Resulting Numbers: [32, 3]
Generated Node #0,3,4: 56:[32, 3] Operation: 16-13=3
Moving to Node #0,3,3
Current State: 56:[13, 2], Operations: ['23-10=13', '32/16=2']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,56 unequal: No Solution
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Moving to Node #0,3,1
Current State: 56:[13, 16], Operations: ['23-10=13', '32-16=16']
Exploring Operation: 13*16=208, Resulting Numbers: [208]
208,56 unequal: No Solution
Exploring Operation: 13+16=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Moving to Node #0,1,1
Current State: 56:[32, 3], Operations: ['23-16=7', '10-7=3']
Exploring Operation: 32+3=35, Resulting Numbers: [35]
35,56 unequal: No Solution
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,56 unequal: No Solution
Moving to Node #0,3,4
Current State: 56:[32, 3], Operations: ['23-10=13', '16-13=3']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 32+3=35, Resulting Numbers: [35]
35,56 unequal: No Solution
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,56 unequal: No Solution
Moving to Node #0,1,2
Current State: 56:[10, 25], Operations: ['23-16=7', '32-7=25']
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Exploring Operation: 10+25=35, Resulting Numbers: [35]
35,56 unequal: No Solution
Exploring Operation: 10*25=250, Resulting Numbers: [250]
250,56 unequal: No Solution
Moving to Node #0,3,2
Current State: 56:[32, 29], Operations: ['23-10=13', '16+13=29']
Exploring Operation: 32*29=928, Resulting Numbers: [928]
928,56 unequal: No Solution
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Exploring Operation: 32+29=61, Resulting Numbers: [61]
61,56 unequal: No Solution
Moving to Node #0,1,3
Current State: 56:[7, 22], Operations: ['23-16=7', '32-10=22']
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,56 unequal: No Solution
Exploring Operation: 7*22=154, Resulting Numbers: [154]
154,56 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Moving to Node #0,1,4
Current State: 56:[32, 17], Operations: ['23-16=7', '10+7=17']
Exploring Operation: 32+17=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 32*17=544, Resulting Numbers: [544]
544,56 unequal: No Solution
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Moving to Node #0,3,0
Current State: 56:[16, 19], Operations: ['23-10=13', '32-13=19']
Exploring Operation: 16+19=35, Resulting Numbers: [35]
35,56 unequal: No Solution
Exploring Operation: 16*19=304, Resulting Numbers: [304]
304,56 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Moving to Node #0,1,0
Current State: 56:[10, 39], Operations: ['23-16=7', '32+7=39']
Exploring Operation: 10*39=390, Resulting Numbers: [390]
390,56 unequal: No Solution
Exploring Operation: 10+39=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 39-10=29, Resulting Numbers: [29]
29,56 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
50,
27,
21,
12
] | 86 | [
"50+27=77",
"21-12=9",
"77+9=86"
] | Current State: 86:[50, 27, 21, 12], Operations: []
Exploring Operation: 50+27=77, Resulting Numbers: [21, 12, 77]
Generated Node #2: [21, 12, 77] from Operation: 50+27=77
Current State: 86:[21, 12, 77], Operations: ['50+27=77']
Exploring Operation: 21-12=9, Resulting Numbers: [77, 9]
Generated Node #3: [77, 9] from Operation: 21-12=9
Current State: 86:[77, 9], Operations: ['50+27=77', '21-12=9']
Exploring Operation: 77+9=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[50, 27, 21, 12], Operations: []
Exploring Operation: 27-21=6, Resulting Numbers: [50, 12, 6]
Generated Node #0,0: 86:[50, 12, 6] Operation: 27-21=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[50, 12, 6], Operations: ['27-21=6']
Exploring Operation: 12/6=2, Resulting Numbers: [50, 2]
Generated Node #0,0,0: 86:[50, 2] Operation: 12/6=2
Moving to Node #0,0,0
Current State: 86:[50, 2], Operations: ['27-21=6', '12/6=2']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
20,
12,
47,
17
] | 43 | [
"20-17=3",
"12/3=4",
"47-4=43"
] | Current State: 43:[20, 12, 47, 17], Operations: []
Exploring Operation: 20-17=3, Resulting Numbers: [12, 47, 3]
Generated Node #2: [12, 47, 3] from Operation: 20-17=3
Current State: 43:[12, 47, 3], Operations: ['20-17=3']
Exploring Operation: 12/3=4, Resulting Numbers: [47, 4]
Generated Node #3: [47, 4] from Operation: 12/3=4
Current State: 43:[47, 4], Operations: ['20-17=3', '12/3=4']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[20, 12, 47, 17], Operations: []
Exploring Operation: 20+12=32, Resulting Numbers: [47, 17, 32]
Generated Node #0,0: 43:[47, 17, 32] Operation: 20+12=32
Moving to Node #0,0
Current State: 43:[47, 17, 32], Operations: ['20+12=32']
Exploring Operation: 17+32=49, Resulting Numbers: [47, 49]
Generated Node #0,0,0: 43:[47, 49] Operation: 17+32=49
Moving to Node #0,0,0
Current State: 43:[47, 49], Operations: ['20+12=32', '17+32=49']
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,43 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
22,
19,
16,
76
] | 89 | [
"22-19=3",
"16+76=92",
"92-3=89"
] | Current State: 89:[22, 19, 16, 76], Operations: []
Exploring Operation: 22-19=3, Resulting Numbers: [16, 76, 3]
Generated Node #2: [16, 76, 3] from Operation: 22-19=3
Current State: 89:[16, 76, 3], Operations: ['22-19=3']
Exploring Operation: 16+76=92, Resulting Numbers: [3, 92]
Generated Node #3: [3, 92] from Operation: 16+76=92
Current State: 89:[3, 92], Operations: ['22-19=3', '16+76=92']
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[22, 19, 16, 76], Operations: []
Exploring Operation: 22+19=41, Resulting Numbers: [16, 76, 41]
Generated Node #0,0: 89:[16, 76, 41] Operation: 22+19=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[16, 76, 41], Operations: ['22+19=41']
Exploring Operation: 16+41=57, Resulting Numbers: [76, 57]
Generated Node #0,0,0: 89:[76, 57] Operation: 16+41=57
Moving to Node #0,0,0
Current State: 89:[76, 57], Operations: ['22+19=41', '16+41=57']
Exploring Operation: 76+57=133, Resulting Numbers: [133]
133,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
22,
50,
59,
4
] | 91 | [
"50-22=28",
"59+4=63",
"28+63=91"
] | Current State: 91:[22, 50, 59, 4], Operations: []
Exploring Operation: 50-22=28, Resulting Numbers: [59, 4, 28]
Generated Node #2: [59, 4, 28] from Operation: 50-22=28
Current State: 91:[59, 4, 28], Operations: ['50-22=28']
Exploring Operation: 59+4=63, Resulting Numbers: [28, 63]
Generated Node #3: [28, 63] from Operation: 59+4=63
Current State: 91:[28, 63], Operations: ['50-22=28', '59+4=63']
Exploring Operation: 28+63=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[22, 50, 59, 4], Operations: []
Exploring Operation: 59-50=9, Resulting Numbers: [22, 4, 9]
Generated Node #0,0: 91:[22, 4, 9] Operation: 59-50=9
Moving to Node #0,0
Current State: 91:[22, 4, 9], Operations: ['59-50=9']
Exploring Operation: 22-9=13, Resulting Numbers: [4, 13]
Generated Node #0,0,0: 91:[4, 13] Operation: 22-9=13
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[4, 13], Operations: ['59-50=9', '22-9=13']
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,91 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 |
[
19,
30,
64,
72
] | 57 | [
"19+30=49",
"72-64=8",
"49+8=57"
] | Current State: 57:[19, 30, 64, 72], Operations: []
Exploring Operation: 19+30=49, Resulting Numbers: [64, 72, 49]
Generated Node #2: [64, 72, 49] from Operation: 19+30=49
Current State: 57:[64, 72, 49], Operations: ['19+30=49']
Exploring Operation: 72-64=8, Resulting Numbers: [49, 8]
Generated Node #3: [49, 8] from Operation: 72-64=8
Current State: 57:[49, 8], Operations: ['19+30=49', '72-64=8']
Exploring Operation: 49+8=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[19, 30, 64, 72], Operations: []
Exploring Operation: 72-19=53, Resulting Numbers: [30, 64, 53]
Generated Node #0,0: 57:[30, 64, 53] Operation: 72-19=53
Exploring Operation: 72-30=42, Resulting Numbers: [19, 64, 42]
Generated Node #0,1: 57:[19, 64, 42] Operation: 72-30=42
Exploring Operation: 72-64=8, Resulting Numbers: [19, 30, 8]
Generated Node #0,2: 57:[19, 30, 8] Operation: 72-64=8
Start Sub Search at level 1: Moving to Node #0,2
Current State: 57:[19, 30, 8], Operations: ['72-64=8']
Exploring Operation: 30-19=11, Resulting Numbers: [8, 11]
Generated Node #0,2,0: 57:[8, 11] Operation: 30-19=11
Exploring Operation: 30-8=22, Resulting Numbers: [19, 22]
Generated Node #0,2,1: 57:[19, 22] Operation: 30-8=22
Exploring Operation: 19+30=49, Resulting Numbers: [8, 49]
Generated Node #0,2,2: 57:[8, 49] Operation: 19+30=49
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 57:[19, 22], Operations: ['72-64=8', '30-8=22']
Exploring Operation: 19+22=41, Resulting Numbers: [41]
41,57 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 19*22=418, Resulting Numbers: [418]
418,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 57:[8, 11], Operations: ['72-64=8', '30-19=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,57 unequal: No Solution
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,57 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 57:[8, 49], Operations: ['72-64=8', '19+30=49']
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,57 unequal: No Solution
Exploring Operation: 8*49=392, Resulting Numbers: [392]
392,57 unequal: No Solution
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[19, 30, 64, 72], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [19, 30, 8]
Generated Node #0,2: 57:[19, 30, 8] Operation: 72-64=8
Moving to Node #0,2
Current State: 57:[19, 30, 8], Operations: ['72-64=8']
Exploring Operation: 19+30=49, Resulting Numbers: [8, 49]
Generated Node #0,2,2: 57:[8, 49] Operation: 19+30=49
Moving to Node #0,2,2
Current State: 57:[8, 49], Operations: ['72-64=8', '19+30=49']
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
27,
56,
20,
2
] | 16 | [
"27-20=7",
"56*2=112",
"112/7=16"
] | Current State: 16:[27, 56, 20, 2], Operations: []
Exploring Operation: 27-20=7, Resulting Numbers: [56, 2, 7]
Generated Node #2: [56, 2, 7] from Operation: 27-20=7
Current State: 16:[56, 2, 7], Operations: ['27-20=7']
Exploring Operation: 56*2=112, Resulting Numbers: [7, 112]
Generated Node #3: [7, 112] from Operation: 56*2=112
Current State: 16:[7, 112], Operations: ['27-20=7', '56*2=112']
Exploring Operation: 112/7=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[27, 56, 20, 2], Operations: []
Exploring Operation: 56-20=36, Resulting Numbers: [27, 2, 36]
Generated Node #0,0: 16:[27, 2, 36] Operation: 56-20=36
Exploring Operation: 56/2=28, Resulting Numbers: [27, 20, 28]
Generated Node #0,1: 16:[27, 20, 28] Operation: 56/2=28
Exploring Operation: 56-27=29, Resulting Numbers: [20, 2, 29]
Generated Node #0,2: 16:[20, 2, 29] Operation: 56-27=29
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[20, 2, 29], Operations: ['56-27=29']
Exploring Operation: 20-2=18, Resulting Numbers: [29, 18]
Generated Node #0,2,0: 16:[29, 18] Operation: 20-2=18
Exploring Operation: 20/2=10, Resulting Numbers: [29, 10]
Generated Node #0,2,1: 16:[29, 10] Operation: 20/2=10
Exploring Operation: 29-20=9, Resulting Numbers: [2, 9]
Generated Node #0,2,2: 16:[2, 9] Operation: 29-20=9
Moving to Node #0,2,2
Current State: 16:[2, 9], Operations: ['56-27=29', '29-20=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,16 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Moving to Node #0,2,0
Current State: 16:[29, 18], Operations: ['56-27=29', '20-2=18']
Exploring Operation: 29+18=47, Resulting Numbers: [47]
47,16 unequal: No Solution
Exploring Operation: 29*18=522, Resulting Numbers: [522]
522,16 unequal: No Solution
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Moving to Node #0,2,1
Current State: 16:[29, 10], Operations: ['56-27=29', '20/2=10']
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,16 unequal: No Solution
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 29*10=290, Resulting Numbers: [290]
290,16 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:[27, 20, 28], Operations: ['56/2=28']
Exploring Operation: 27-20=7, Resulting Numbers: [28, 7]
Generated Node #0,1,0: 16:[28, 7] Operation: 27-20=7
Exploring Operation: 28-20=8, Resulting Numbers: [27, 8]
Generated Node #0,1,1: 16:[27, 8] Operation: 28-20=8
Exploring Operation: 28-27=1, Resulting Numbers: [20, 1]
Generated Node #0,1,2: 16:[20, 1] Operation: 28-27=1
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 16:[20, 1], Operations: ['56/2=28', '28-27=1']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,16 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 #0,1,1
Current State: 16:[27, 8], Operations: ['56/2=28', '28-20=8']
Exploring Operation: 27+8=35, Resulting Numbers: [35]
35,16 unequal: No Solution
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,16 unequal: No Solution
Exploring Operation: 27*8=216, Resulting Numbers: [216]
216,16 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:[28, 7], Operations: ['56/2=28', '27-20=7']
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,16 unequal: No Solution
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,16 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,16 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
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[27, 2, 36], Operations: ['56-20=36']
Exploring Operation: 36-27=9, Resulting Numbers: [2, 9]
Generated Node #0,0,0: 16:[2, 9] Operation: 36-27=9
Exploring Operation: 36/2=18, Resulting Numbers: [27, 18]
Generated Node #0,0,1: 16:[27, 18] Operation: 36/2=18
Exploring Operation: 27-2=25, Resulting Numbers: [36, 25]
Generated Node #0,0,2: 16:[36, 25] Operation: 27-2=25
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 16:[2, 9], Operations: ['56-20=36', '36-27=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,16 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,16 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,16 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 #0,0,1
Current State: 16:[27, 18], Operations: ['56-20=36', '36/2=18']
Exploring Operation: 27-18=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Exploring Operation: 27*18=486, Resulting Numbers: [486]
486,16 unequal: No Solution
Exploring Operation: 27+18=45, Resulting Numbers: [45]
45,16 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 #0,0,2
Current State: 16:[36, 25], Operations: ['56-20=36', '27-2=25']
Exploring Operation: 36*25=900, Resulting Numbers: [900]
900,16 unequal: No Solution
Exploring Operation: 36+25=61, Resulting Numbers: [61]
61,16 unequal: No Solution
Exploring Operation: 36-25=11, Resulting Numbers: [11]
11,16 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_3 | mult_heuristic |
[
25,
43,
91,
1
] | 73 | [
"43-25=18",
"91*1=91",
"91-18=73"
] | Current State: 73:[25, 43, 91, 1], Operations: []
Exploring Operation: 43-25=18, Resulting Numbers: [91, 1, 18]
Generated Node #2: [91, 1, 18] from Operation: 43-25=18
Current State: 73:[91, 1, 18], Operations: ['43-25=18']
Exploring Operation: 91*1=91, Resulting Numbers: [18, 91]
Generated Node #3: [18, 91] from Operation: 91*1=91
Current State: 73:[18, 91], Operations: ['43-25=18', '91*1=91']
Exploring Operation: 91-18=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[25, 43, 91, 1], Operations: []
Exploring Operation: 25+43=68, Resulting Numbers: [91, 1, 68]
Generated Node #0,0: 73:[91, 1, 68] Operation: 25+43=68
Moving to Node #0,0
Current State: 73:[91, 1, 68], Operations: ['25+43=68']
Exploring Operation: 91-1=90, Resulting Numbers: [68, 90]
Generated Node #0,0,0: 73:[68, 90] Operation: 91-1=90
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[68, 90], Operations: ['25+43=68', '91-1=90']
Exploring Operation: 90-68=22, Resulting Numbers: [22]
22,73 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 |
[
29,
51,
77,
64
] | 58 | [
"51+77=128",
"29*128=3712",
"3712/64=58"
] | Current State: 58:[29, 51, 77, 64], Operations: []
Exploring Operation: 51+77=128, Resulting Numbers: [29, 64, 128]
Generated Node #2: [29, 64, 128] from Operation: 51+77=128
Current State: 58:[29, 64, 128], Operations: ['51+77=128']
Exploring Operation: 29*128=3712, Resulting Numbers: [64, 3712]
Generated Node #3: [64, 3712] from Operation: 29*128=3712
Current State: 58:[64, 3712], Operations: ['51+77=128', '29*128=3712']
Exploring Operation: 3712/64=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[29, 51, 77, 64], Operations: []
Exploring Operation: 77-51=26, Resulting Numbers: [29, 64, 26]
Generated Node #0,0: 58:[29, 64, 26] Operation: 77-51=26
Exploring Operation: 77-64=13, Resulting Numbers: [29, 51, 13]
Generated Node #0,1: 58:[29, 51, 13] Operation: 77-64=13
Moving to Node #0,0
Current State: 58:[29, 64, 26], Operations: ['77-51=26']
Exploring Operation: 29-26=3, Resulting Numbers: [64, 3]
Generated Node #0,0,0: 58:[64, 3] Operation: 29-26=3
Exploring Operation: 64-29=35, Resulting Numbers: [26, 35]
Generated Node #0,0,1: 58:[26, 35] Operation: 64-29=35
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[64, 3], Operations: ['77-51=26', '29-26=3']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,58 unequal: No Solution
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[26, 35], Operations: ['77-51=26', '64-29=35']
Exploring Operation: 26+35=61, Resulting Numbers: [61]
61,58 unequal: No Solution
Exploring Operation: 35-26=9, Resulting Numbers: [9]
9,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 58:[29, 51, 13], Operations: ['77-64=13']
Exploring Operation: 51+13=64, Resulting Numbers: [29, 64]
Generated Node #0,1,0: 58:[29, 64] Operation: 51+13=64
Exploring Operation: 51-13=38, Resulting Numbers: [29, 38]
Generated Node #0,1,1: 58:[29, 38] Operation: 51-13=38
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 58:[29, 64], Operations: ['77-64=13', '51+13=64']
Exploring Operation: 29+64=93, Resulting Numbers: [93]
93,58 unequal: No Solution
Exploring Operation: 64-29=35, Resulting Numbers: [35]
35,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 58:[29, 38], Operations: ['77-64=13', '51-13=38']
Exploring Operation: 29+38=67, Resulting Numbers: [67]
67,58 unequal: No Solution
Exploring Operation: 38-29=9, Resulting Numbers: [9]
9,58 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 |
[
87,
46,
2,
6
] | 45 | [
"87-46=41",
"6-2=4",
"41+4=45"
] | Current State: 45:[87, 46, 2, 6], Operations: []
Exploring Operation: 87-46=41, Resulting Numbers: [2, 6, 41]
Generated Node #2: [2, 6, 41] from Operation: 87-46=41
Current State: 45:[2, 6, 41], Operations: ['87-46=41']
Exploring Operation: 6-2=4, Resulting Numbers: [41, 4]
Generated Node #3: [41, 4] from Operation: 6-2=4
Current State: 45:[41, 4], Operations: ['87-46=41', '6-2=4']
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[87, 46, 2, 6], Operations: []
Exploring Operation: 87-46=41, Resulting Numbers: [2, 6, 41]
Generated Node #0,0: 45:[2, 6, 41] Operation: 87-46=41
Exploring Operation: 87-2=85, Resulting Numbers: [46, 6, 85]
Generated Node #0,1: 45:[46, 6, 85] Operation: 87-2=85
Exploring Operation: 46-2=44, Resulting Numbers: [87, 6, 44]
Generated Node #0,2: 45:[87, 6, 44] Operation: 46-2=44
Exploring Operation: 6/2=3, Resulting Numbers: [87, 46, 3]
Generated Node #0,3: 45:[87, 46, 3] Operation: 6/2=3
Exploring Operation: 87-6=81, Resulting Numbers: [46, 2, 81]
Generated Node #0,4: 45:[46, 2, 81] Operation: 87-6=81
Moving to Node #0,0
Current State: 45:[2, 6, 41], Operations: ['87-46=41']
Exploring Operation: 6/2=3, Resulting Numbers: [41, 3]
Generated Node #0,0,0: 45:[41, 3] Operation: 6/2=3
Exploring Operation: 6+41=47, Resulting Numbers: [2, 47]
Generated Node #0,0,1: 45:[2, 47] Operation: 6+41=47
Exploring Operation: 2+41=43, Resulting Numbers: [6, 43]
Generated Node #0,0,2: 45:[6, 43] Operation: 2+41=43
Exploring Operation: 2+6=8, Resulting Numbers: [41, 8]
Generated Node #0,0,3: 45:[41, 8] Operation: 2+6=8
Exploring Operation: 6-2=4, Resulting Numbers: [41, 4]
Generated Node #0,0,4: 45:[41, 4] Operation: 6-2=4
Moving to Node #0,4
Current State: 45:[46, 2, 81], Operations: ['87-6=81']
Exploring Operation: 81-2=79, Resulting Numbers: [46, 79]
Generated Node #0,4,0: 45:[46, 79] Operation: 81-2=79
Exploring Operation: 46-2=44, Resulting Numbers: [81, 44]
Generated Node #0,4,1: 45:[81, 44] Operation: 46-2=44
Exploring Operation: 81-46=35, Resulting Numbers: [2, 35]
Generated Node #0,4,2: 45:[2, 35] Operation: 81-46=35
Exploring Operation: 46+2=48, Resulting Numbers: [81, 48]
Generated Node #0,4,3: 45:[81, 48] Operation: 46+2=48
Exploring Operation: 2+81=83, Resulting Numbers: [46, 83]
Generated Node #0,4,4: 45:[46, 83] Operation: 2+81=83
Moving to Node #0,1
Current State: 45:[46, 6, 85], Operations: ['87-2=85']
Exploring Operation: 6+85=91, Resulting Numbers: [46, 91]
Generated Node #0,1,0: 45:[46, 91] Operation: 6+85=91
Exploring Operation: 46-6=40, Resulting Numbers: [85, 40]
Generated Node #0,1,1: 45:[85, 40] Operation: 46-6=40
Exploring Operation: 85-46=39, Resulting Numbers: [6, 39]
Generated Node #0,1,2: 45:[6, 39] Operation: 85-46=39
Exploring Operation: 46+6=52, Resulting Numbers: [85, 52]
Generated Node #0,1,3: 45:[85, 52] Operation: 46+6=52
Exploring Operation: 85-6=79, Resulting Numbers: [46, 79]
Generated Node #0,1,4: 45:[46, 79] Operation: 85-6=79
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 45:[6, 39], Operations: ['87-2=85', '85-46=39']
Exploring Operation: 6*39=234, Resulting Numbers: [234]
234,45 unequal: No Solution
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,45 unequal: No Solution
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[87, 46, 2, 6], Operations: []
Exploring Operation: 87-2=85, Resulting Numbers: [46, 6, 85]
Generated Node #0,1: 45:[46, 6, 85] Operation: 87-2=85
Moving to Node #0,1
Current State: 45:[46, 6, 85], Operations: ['87-2=85']
Exploring Operation: 85-46=39, Resulting Numbers: [6, 39]
Generated Node #0,1,2: 45:[6, 39] Operation: 85-46=39
Moving to Node #0,1,2
Current State: 45:[6, 39], Operations: ['87-2=85', '85-46=39']
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | mult_heuristic |
[
6,
12,
12,
43
] | 38 | [
"43-6=37",
"12/12=1",
"37+1=38"
] | Current State: 38:[6, 12, 12, 43], Operations: []
Exploring Operation: 43-6=37, Resulting Numbers: [12, 12, 37]
Generated Node #2: [12, 12, 37] from Operation: 43-6=37
Current State: 38:[12, 12, 37], Operations: ['43-6=37']
Exploring Operation: 12/12=1, Resulting Numbers: [37, 1]
Generated Node #3: [37, 1] from Operation: 12/12=1
Current State: 38:[37, 1], Operations: ['43-6=37', '12/12=1']
Exploring Operation: 37+1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[6, 12, 12, 43], Operations: []
Exploring Operation: 12/6=2, Resulting Numbers: [12, 43, 2]
Generated Node #0,0: 38:[12, 43, 2] Operation: 12/6=2
Exploring Operation: 12-12=0, Resulting Numbers: [6, 43, 0]
Generated Node #0,1: 38:[6, 43, 0] Operation: 12-12=0
Exploring Operation: 12/12=1, Resulting Numbers: [6, 43, 1]
Generated Node #0,2: 38:[6, 43, 1] Operation: 12/12=1
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[6, 43, 1], Operations: ['12/12=1']
Exploring Operation: 6-1=5, Resulting Numbers: [43, 5]
Generated Node #0,2,0: 38:[43, 5] Operation: 6-1=5
Exploring Operation: 43-6=37, Resulting Numbers: [1, 37]
Generated Node #0,2,1: 38:[1, 37] Operation: 43-6=37
Exploring Operation: 43-1=42, Resulting Numbers: [6, 42]
Generated Node #0,2,2: 38:[6, 42] Operation: 43-1=42
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 38:[1, 37], Operations: ['12/12=1', '43-6=37']
Exploring Operation: 37/1=37, Resulting Numbers: [37]
37,38 unequal: No Solution
Exploring Operation: 1*37=37, Resulting Numbers: [37]
37,38 unequal: No Solution
Exploring Operation: 1+37=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[6, 12, 12, 43], Operations: []
Exploring Operation: 12/12=1, Resulting Numbers: [6, 43, 1]
Generated Node #0,2: 38:[6, 43, 1] Operation: 12/12=1
Moving to Node #0,2
Current State: 38:[6, 43, 1], Operations: ['12/12=1']
Exploring Operation: 43-6=37, Resulting Numbers: [1, 37]
Generated Node #0,2,1: 38:[1, 37] Operation: 43-6=37
Moving to Node #0,2,1
Current State: 38:[1, 37], Operations: ['12/12=1', '43-6=37']
Exploring Operation: 1+37=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
49,
5,
3,
25
] | 43 | [
"49+5=54",
"54/3=18",
"25+18=43"
] | Current State: 43:[49, 5, 3, 25], Operations: []
Exploring Operation: 49+5=54, Resulting Numbers: [3, 25, 54]
Generated Node #2: [3, 25, 54] from Operation: 49+5=54
Current State: 43:[3, 25, 54], Operations: ['49+5=54']
Exploring Operation: 54/3=18, Resulting Numbers: [25, 18]
Generated Node #3: [25, 18] from Operation: 54/3=18
Current State: 43:[25, 18], Operations: ['49+5=54', '54/3=18']
Exploring Operation: 25+18=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[49, 5, 3, 25], Operations: []
Exploring Operation: 5+25=30, Resulting Numbers: [49, 3, 30]
Generated Node #0,0: 43:[49, 3, 30] Operation: 5+25=30
Exploring Operation: 49-5=44, Resulting Numbers: [3, 25, 44]
Generated Node #0,1: 43:[3, 25, 44] Operation: 49-5=44
Exploring Operation: 5*3=15, Resulting Numbers: [49, 25, 15]
Generated Node #0,2: 43:[49, 25, 15] Operation: 5*3=15
Exploring Operation: 5+3=8, Resulting Numbers: [49, 25, 8]
Generated Node #0,3: 43:[49, 25, 8] Operation: 5+3=8
Exploring Operation: 49-3=46, Resulting Numbers: [5, 25, 46]
Generated Node #0,4: 43:[5, 25, 46] Operation: 49-3=46
Start Sub Search at level 1: Moving to Node #0,2
Current State: 43:[49, 25, 15], Operations: ['5*3=15']
Exploring Operation: 49-25=24, Resulting Numbers: [15, 24]
Generated Node #0,2,0: 43:[15, 24] Operation: 49-25=24
Exploring Operation: 25-15=10, Resulting Numbers: [49, 10]
Generated Node #0,2,1: 43:[49, 10] Operation: 25-15=10
Exploring Operation: 25+15=40, Resulting Numbers: [49, 40]
Generated Node #0,2,2: 43:[49, 40] Operation: 25+15=40
Exploring Operation: 49-15=34, Resulting Numbers: [25, 34]
Generated Node #0,2,3: 43:[25, 34] Operation: 49-15=34
Exploring Operation: 49+15=64, Resulting Numbers: [25, 64]
Generated Node #0,2,4: 43:[25, 64] Operation: 49+15=64
Moving to Node #0,2,2
Current State: 43:[49, 40], Operations: ['5*3=15', '25+15=40']
Exploring Operation: 49-40=9, Resulting Numbers: [9]
9,43 unequal: No Solution
Exploring Operation: 49+40=89, Resulting Numbers: [89]
89,43 unequal: No Solution
Exploring Operation: 49*40=1960, Resulting Numbers: [1960]
1960,43 unequal: No Solution
Moving to Node #0,2,3
Current State: 43:[25, 34], Operations: ['5*3=15', '49-15=34']
Exploring Operation: 25+34=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Exploring Operation: 25*34=850, Resulting Numbers: [850]
850,43 unequal: No Solution
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,43 unequal: No Solution
Moving to Node #0,2,1
Current State: 43:[49, 10], Operations: ['5*3=15', '25-15=10']
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,43 unequal: No Solution
Exploring Operation: 49*10=490, Resulting Numbers: [490]
490,43 unequal: No Solution
Exploring Operation: 49+10=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Moving to Node #0,2,4
Current State: 43:[25, 64], Operations: ['5*3=15', '49+15=64']
Exploring Operation: 64-25=39, Resulting Numbers: [39]
39,43 unequal: No Solution
Exploring Operation: 25+64=89, Resulting Numbers: [89]
89,43 unequal: No Solution
Exploring Operation: 25*64=1600, Resulting Numbers: [1600]
1600,43 unequal: No Solution
Moving to Node #0,2,0
Current State: 43:[15, 24], Operations: ['5*3=15', '49-25=24']
Exploring Operation: 15*24=360, Resulting Numbers: [360]
360,43 unequal: No Solution
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,43 unequal: No Solution
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[49, 3, 30], Operations: ['5+25=30']
Exploring Operation: 49+3=52, Resulting Numbers: [30, 52]
Generated Node #0,0,0: 43:[30, 52] Operation: 49+3=52
Exploring Operation: 3+30=33, Resulting Numbers: [49, 33]
Generated Node #0,0,1: 43:[49, 33] Operation: 3+30=33
Exploring Operation: 30-3=27, Resulting Numbers: [49, 27]
Generated Node #0,0,2: 43:[49, 27] Operation: 30-3=27
Exploring Operation: 49-3=46, Resulting Numbers: [30, 46]
Generated Node #0,0,3: 43:[30, 46] Operation: 49-3=46
Exploring Operation: 30/3=10, Resulting Numbers: [49, 10]
Generated Node #0,0,4: 43:[49, 10] Operation: 30/3=10
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 43:[49, 33], Operations: ['5+25=30', '3+30=33']
Exploring Operation: 49-33=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Exploring Operation: 49*33=1617, Resulting Numbers: [1617]
1617,43 unequal: No Solution
Exploring Operation: 49+33=82, Resulting Numbers: [82]
82,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 43:[30, 46], Operations: ['5+25=30', '49-3=46']
Exploring Operation: 46-30=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Exploring Operation: 30+46=76, Resulting Numbers: [76]
76,43 unequal: No Solution
Exploring Operation: 30*46=1380, Resulting Numbers: [1380]
1380,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 43:[30, 52], Operations: ['5+25=30', '49+3=52']
Exploring Operation: 30+52=82, Resulting Numbers: [82]
82,43 unequal: No Solution
Exploring Operation: 52-30=22, Resulting Numbers: [22]
22,43 unequal: No Solution
Exploring Operation: 30*52=1560, Resulting Numbers: [1560]
1560,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 43:[49, 27], Operations: ['5+25=30', '30-3=27']
Exploring Operation: 49+27=76, Resulting Numbers: [76]
76,43 unequal: No Solution
Exploring Operation: 49*27=1323, Resulting Numbers: [1323]
1323,43 unequal: No Solution
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 43:[49, 10], Operations: ['5+25=30', '30/3=10']
Exploring Operation: 49+10=59, Resulting Numbers: [59]
59,43 unequal: No Solution
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,43 unequal: No Solution
Exploring Operation: 49*10=490, Resulting Numbers: [490]
490,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[3, 25, 44], Operations: ['49-5=44']
Exploring Operation: 3+25=28, Resulting Numbers: [44, 28]
Generated Node #0,1,0: 43:[44, 28] Operation: 3+25=28
Exploring Operation: 3+44=47, Resulting Numbers: [25, 47]
Generated Node #0,1,1: 43:[25, 47] Operation: 3+44=47
Exploring Operation: 25-3=22, Resulting Numbers: [44, 22]
Generated Node #0,1,2: 43:[44, 22] Operation: 25-3=22
Exploring Operation: 3*25=75, Resulting Numbers: [44, 75]
Generated Node #0,1,3: 43:[44, 75] Operation: 3*25=75
Exploring Operation: 44-3=41, Resulting Numbers: [25, 41]
Generated Node #0,1,4: 43:[25, 41] Operation: 44-3=41
Moving to Node #0,1,0
Current State: 43:[44, 28], Operations: ['49-5=44', '3+25=28']
Exploring Operation: 44*28=1232, Resulting Numbers: [1232]
1232,43 unequal: No Solution
Exploring Operation: 44+28=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Exploring Operation: 44-28=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Moving to Node #0,1,4
Current State: 43:[25, 41], Operations: ['49-5=44', '44-3=41']
Exploring Operation: 41-25=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Exploring Operation: 25*41=1025, Resulting Numbers: [1025]
1025,43 unequal: No Solution
Exploring Operation: 25+41=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[25, 47], Operations: ['49-5=44', '3+44=47']
Exploring Operation: 47-25=22, Resulting Numbers: [22]
22,43 unequal: No Solution
Exploring Operation: 25+47=72, Resulting Numbers: [72]
72,43 unequal: No Solution
Exploring Operation: 25*47=1175, Resulting Numbers: [1175]
1175,43 unequal: No Solution
Moving to Node #0,1,2
Current State: 43:[44, 22], Operations: ['49-5=44', '25-3=22']
Exploring Operation: 44-22=22, Resulting Numbers: [22]
22,43 unequal: No Solution
Exploring Operation: 44*22=968, Resulting Numbers: [968]
968,43 unequal: No Solution
Exploring Operation: 44+22=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Exploring Operation: 44/22=2, Resulting Numbers: [2]
2,43 unequal: No Solution
Moving to Node #0,1,3
Current State: 43:[44, 75], Operations: ['49-5=44', '3*25=75']
Exploring Operation: 44*75=3300, Resulting Numbers: [3300]
3300,43 unequal: No Solution
Exploring Operation: 44+75=119, Resulting Numbers: [119]
119,43 unequal: No Solution
Exploring Operation: 75-44=31, Resulting Numbers: [31]
31,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 43:[49, 25, 8], Operations: ['5+3=8']
Exploring Operation: 25+8=33, Resulting Numbers: [49, 33]
Generated Node #0,3,0: 43:[49, 33] Operation: 25+8=33
Exploring Operation: 49+8=57, Resulting Numbers: [25, 57]
Generated Node #0,3,1: 43:[25, 57] Operation: 49+8=57
Exploring Operation: 49-8=41, Resulting Numbers: [25, 41]
Generated Node #0,3,2: 43:[25, 41] Operation: 49-8=41
Exploring Operation: 25-8=17, Resulting Numbers: [49, 17]
Generated Node #0,3,3: 43:[49, 17] Operation: 25-8=17
Exploring Operation: 49-25=24, Resulting Numbers: [8, 24]
Generated Node #0,3,4: 43:[8, 24] Operation: 49-25=24
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 43:[49, 33], Operations: ['5+3=8', '25+8=33']
Exploring Operation: 49*33=1617, Resulting Numbers: [1617]
1617,43 unequal: No Solution
Exploring Operation: 49-33=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Exploring Operation: 49+33=82, Resulting Numbers: [82]
82,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 43:[25, 41], Operations: ['5+3=8', '49-8=41']
Exploring Operation: 25*41=1025, Resulting Numbers: [1025]
1025,43 unequal: No Solution
Exploring Operation: 25+41=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Exploring Operation: 41-25=16, Resulting Numbers: [16]
16,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 43:[25, 57], Operations: ['5+3=8', '49+8=57']
Exploring Operation: 25*57=1425, Resulting Numbers: [1425]
1425,43 unequal: No Solution
Exploring Operation: 57-25=32, Resulting Numbers: [32]
32,43 unequal: No Solution
Exploring Operation: 25+57=82, Resulting Numbers: [82]
82,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 43:[49, 17], Operations: ['5+3=8', '25-8=17']
Exploring Operation: 49+17=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Exploring Operation: 49-17=32, Resulting Numbers: [32]
32,43 unequal: No Solution
Exploring Operation: 49*17=833, Resulting Numbers: [833]
833,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 43:[8, 24], Operations: ['5+3=8', '49-25=24']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Exploring Operation: 8+24=32, Resulting Numbers: [32]
32,43 unequal: No Solution
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,43 unequal: No Solution
Exploring Operation: 8*24=192, Resulting Numbers: [192]
192,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 43:[5, 25, 46], Operations: ['49-3=46']
Exploring Operation: 25-5=20, Resulting Numbers: [46, 20]
Generated Node #0,4,0: 43:[46, 20] Operation: 25-5=20
Exploring Operation: 5+46=51, Resulting Numbers: [25, 51]
Generated Node #0,4,1: 43:[25, 51] Operation: 5+46=51
Exploring Operation: 5+25=30, Resulting Numbers: [46, 30]
Generated Node #0,4,2: 43:[46, 30] Operation: 5+25=30
Exploring Operation: 25/5=5, Resulting Numbers: [46, 5]
Generated Node #0,4,3: 43:[46, 5] Operation: 25/5=5
Exploring Operation: 46-5=41, Resulting Numbers: [25, 41]
Generated Node #0,4,4: 43:[25, 41] Operation: 46-5=41
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 43:[46, 30], Operations: ['49-3=46', '5+25=30']
Exploring Operation: 46*30=1380, Resulting Numbers: [1380]
1380,43 unequal: No Solution
Exploring Operation: 46+30=76, Resulting Numbers: [76]
76,43 unequal: No Solution
Exploring Operation: 46-30=16, Resulting Numbers: [16]
16,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 43:[25, 41], Operations: ['49-3=46', '46-5=41']
Exploring Operation: 41-25=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Exploring Operation: 25+41=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Exploring Operation: 25*41=1025, Resulting Numbers: [1025]
1025,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 43:[46, 20], Operations: ['49-3=46', '25-5=20']
Exploring Operation: 46+20=66, Resulting Numbers: [66]
66,43 unequal: No Solution
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,43 unequal: No Solution
Exploring Operation: 46*20=920, Resulting Numbers: [920]
920,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 43:[25, 51], Operations: ['49-3=46', '5+46=51']
Exploring Operation: 25+51=76, Resulting Numbers: [76]
76,43 unequal: No Solution
Exploring Operation: 25*51=1275, Resulting Numbers: [1275]
1275,43 unequal: No Solution
Exploring Operation: 51-25=26, Resulting Numbers: [26]
26,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 43:[46, 5], Operations: ['49-3=46', '25/5=5']
Exploring Operation: 46*5=230, Resulting Numbers: [230]
230,43 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,43 unequal: No Solution
Exploring Operation: 46+5=51, Resulting Numbers: [51]
51,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
2,
83,
73,
58
] | 35 | [
"2*83=166",
"73+58=131",
"166-131=35"
] | Current State: 35:[2, 83, 73, 58], Operations: []
Exploring Operation: 2*83=166, Resulting Numbers: [73, 58, 166]
Generated Node #2: [73, 58, 166] from Operation: 2*83=166
Current State: 35:[73, 58, 166], Operations: ['2*83=166']
Exploring Operation: 73+58=131, Resulting Numbers: [166, 131]
Generated Node #3: [166, 131] from Operation: 73+58=131
Current State: 35:[166, 131], Operations: ['2*83=166', '73+58=131']
Exploring Operation: 166-131=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[2, 83, 73, 58], Operations: []
Exploring Operation: 73-58=15, Resulting Numbers: [2, 83, 15]
Generated Node #0,0: 35:[2, 83, 15] Operation: 73-58=15
Exploring Operation: 58/2=29, Resulting Numbers: [83, 73, 29]
Generated Node #0,1: 35:[83, 73, 29] Operation: 58/2=29
Exploring Operation: 83-73=10, Resulting Numbers: [2, 58, 10]
Generated Node #0,2: 35:[2, 58, 10] Operation: 83-73=10
Exploring Operation: 83-2=81, Resulting Numbers: [73, 58, 81]
Generated Node #0,3: 35:[73, 58, 81] Operation: 83-2=81
Exploring Operation: 83-58=25, Resulting Numbers: [2, 73, 25]
Generated Node #0,4: 35:[2, 73, 25] Operation: 83-58=25
Moving to Node #0,2
Current State: 35:[2, 58, 10], Operations: ['83-73=10']
Exploring Operation: 58/2=29, Resulting Numbers: [10, 29]
Generated Node #0,2,0: 35:[10, 29] Operation: 58/2=29
Exploring Operation: 58-10=48, Resulting Numbers: [2, 48]
Generated Node #0,2,1: 35:[2, 48] Operation: 58-10=48
Exploring Operation: 58-2=56, Resulting Numbers: [10, 56]
Generated Node #0,2,2: 35:[10, 56] Operation: 58-2=56
Exploring Operation: 10/2=5, Resulting Numbers: [58, 5]
Generated Node #0,2,3: 35:[58, 5] Operation: 10/2=5
Exploring Operation: 10-2=8, Resulting Numbers: [58, 8]
Generated Node #0,2,4: 35:[58, 8] Operation: 10-2=8
Moving to Node #0,4
Current State: 35:[2, 73, 25], Operations: ['83-58=25']
Exploring Operation: 2+73=75, Resulting Numbers: [25, 75]
Generated Node #0,4,0: 35:[25, 75] Operation: 2+73=75
Exploring Operation: 25-2=23, Resulting Numbers: [73, 23]
Generated Node #0,4,1: 35:[73, 23] Operation: 25-2=23
Exploring Operation: 73-25=48, Resulting Numbers: [2, 48]
Generated Node #0,4,2: 35:[2, 48] Operation: 73-25=48
Exploring Operation: 2+25=27, Resulting Numbers: [73, 27]
Generated Node #0,4,3: 35:[73, 27] Operation: 2+25=27
Exploring Operation: 73-2=71, Resulting Numbers: [25, 71]
Generated Node #0,4,4: 35:[25, 71] Operation: 73-2=71
Moving to Node #0,0
Current State: 35:[2, 83, 15], Operations: ['73-58=15']
Exploring Operation: 2+83=85, Resulting Numbers: [15, 85]
Generated Node #0,0,0: 35:[15, 85] Operation: 2+83=85
Exploring Operation: 83-15=68, Resulting Numbers: [2, 68]
Generated Node #0,0,1: 35:[2, 68] Operation: 83-15=68
Exploring Operation: 15-2=13, Resulting Numbers: [83, 13]
Generated Node #0,0,2: 35:[83, 13] Operation: 15-2=13
Exploring Operation: 83-2=81, Resulting Numbers: [15, 81]
Generated Node #0,0,3: 35:[15, 81] Operation: 83-2=81
Exploring Operation: 2*15=30, Resulting Numbers: [83, 30]
Generated Node #0,0,4: 35:[83, 30] Operation: 2*15=30
Moving to Node #0,1
Current State: 35:[83, 73, 29], Operations: ['58/2=29']
Exploring Operation: 83-73=10, Resulting Numbers: [29, 10]
Generated Node #0,1,0: 35:[29, 10] Operation: 83-73=10
Exploring Operation: 83-29=54, Resulting Numbers: [73, 54]
Generated Node #0,1,1: 35:[73, 54] Operation: 83-29=54
Exploring Operation: 83+29=112, Resulting Numbers: [73, 112]
Generated Node #0,1,2: 35:[73, 112] Operation: 83+29=112
Exploring Operation: 73+29=102, Resulting Numbers: [83, 102]
Generated Node #0,1,3: 35:[83, 102] Operation: 73+29=102
Exploring Operation: 73-29=44, Resulting Numbers: [83, 44]
Generated Node #0,1,4: 35:[83, 44] Operation: 73-29=44
Moving to Node #0,3
Current State: 35:[73, 58, 81], Operations: ['83-2=81']
Exploring Operation: 81-73=8, Resulting Numbers: [58, 8]
Generated Node #0,3,0: 35:[58, 8] Operation: 81-73=8
Exploring Operation: 73+81=154, Resulting Numbers: [58, 154]
Generated Node #0,3,1: 35:[58, 154] Operation: 73+81=154
Exploring Operation: 73+58=131, Resulting Numbers: [81, 131]
Generated Node #0,3,2: 35:[81, 131] Operation: 73+58=131
Exploring Operation: 73-58=15, Resulting Numbers: [81, 15]
Generated Node #0,3,3: 35:[81, 15] Operation: 73-58=15
Exploring Operation: 81-58=23, Resulting Numbers: [73, 23]
Generated Node #0,3,4: 35:[73, 23] Operation: 81-58=23
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 35:[58, 8], Operations: ['83-2=81', '81-73=8']
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 58*8=464, Resulting Numbers: [464]
464,35 unequal: No Solution
Exploring Operation: 58+8=66, Resulting Numbers: [66]
66,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 35:[73, 23], Operations: ['83-2=81', '81-58=23']
Exploring Operation: 73+23=96, Resulting Numbers: [96]
96,35 unequal: No Solution
Exploring Operation: 73*23=1679, Resulting Numbers: [1679]
1679,35 unequal: No Solution
Exploring Operation: 73-23=50, Resulting Numbers: [50]
50,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 35:[81, 15], Operations: ['83-2=81', '73-58=15']
Exploring Operation: 81*15=1215, Resulting Numbers: [1215]
1215,35 unequal: No Solution
Exploring Operation: 81-15=66, Resulting Numbers: [66]
66,35 unequal: No Solution
Exploring Operation: 81+15=96, Resulting Numbers: [96]
96,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 35:[58, 154], Operations: ['83-2=81', '73+81=154']
Exploring Operation: 58+154=212, Resulting Numbers: [212]
212,35 unequal: No Solution
Exploring Operation: 58*154=8932, Resulting Numbers: [8932]
8932,35 unequal: No Solution
Exploring Operation: 154-58=96, Resulting Numbers: [96]
96,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 35:[81, 131], Operations: ['83-2=81', '73+58=131']
Exploring Operation: 81+131=212, Resulting Numbers: [212]
212,35 unequal: No Solution
Exploring Operation: 131-81=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 81*131=10611, Resulting Numbers: [10611]
10611,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 35:[10, 29], Operations: ['83-73=10', '58/2=29']
Exploring Operation: 10+29=39, Resulting Numbers: [39]
39,35 unequal: No Solution
Exploring Operation: 10*29=290, Resulting Numbers: [290]
290,35 unequal: No Solution
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,35 unequal: No Solution
Moving to Node #0,1,0
Current State: 35:[29, 10], Operations: ['58/2=29', '83-73=10']
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,35 unequal: No Solution
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,35 unequal: No Solution
Exploring Operation: 29*10=290, Resulting Numbers: [290]
290,35 unequal: No Solution
Moving to Node #0,4,2
Current State: 35:[2, 48], Operations: ['83-58=25', '73-25=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,35 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,35 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Moving to Node #0,2,1
Current State: 35:[2, 48], Operations: ['83-73=10', '58-10=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,35 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,35 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Moving to Node #0,2,3
Current State: 35:[58, 5], Operations: ['83-73=10', '10/2=5']
Exploring Operation: 58+5=63, Resulting Numbers: [63]
63,35 unequal: No Solution
Exploring Operation: 58*5=290, Resulting Numbers: [290]
290,35 unequal: No Solution
Exploring Operation: 58-5=53, Resulting Numbers: [53]
53,35 unequal: No Solution
Moving to Node #0,2,4
Current State: 35:[58, 8], Operations: ['83-73=10', '10-2=8']
Exploring Operation: 58*8=464, Resulting Numbers: [464]
464,35 unequal: No Solution
Exploring Operation: 58+8=66, Resulting Numbers: [66]
66,35 unequal: No Solution
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Moving to Node #0,2,2
Current State: 35:[10, 56], Operations: ['83-73=10', '58-2=56']
Exploring Operation: 10*56=560, Resulting Numbers: [560]
560,35 unequal: No Solution
Exploring Operation: 56-10=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 10+56=66, Resulting Numbers: [66]
66,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[2, 68], Operations: ['73-58=15', '83-15=68']
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,35 unequal: No Solution
Exploring Operation: 2*68=136, Resulting Numbers: [136]
136,35 unequal: No Solution
Exploring Operation: 2+68=70, Resulting Numbers: [70]
70,35 unequal: No Solution
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,35 unequal: No Solution
Moving to Node #0,4,3
Current State: 35:[73, 27], Operations: ['83-58=25', '2+25=27']
Exploring Operation: 73-27=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Exploring Operation: 73+27=100, Resulting Numbers: [100]
100,35 unequal: No Solution
Exploring Operation: 73*27=1971, Resulting Numbers: [1971]
1971,35 unequal: No Solution
Moving to Node #0,4,4
Current State: 35:[25, 71], Operations: ['83-58=25', '73-2=71']
Exploring Operation: 25*71=1775, Resulting Numbers: [1775]
1775,35 unequal: No Solution
Exploring Operation: 25+71=96, Resulting Numbers: [96]
96,35 unequal: No Solution
Exploring Operation: 71-25=46, Resulting Numbers: [46]
46,35 unequal: No Solution
Moving to Node #0,4,1
Current State: 35:[73, 23], Operations: ['83-58=25', '25-2=23']
Exploring Operation: 73*23=1679, Resulting Numbers: [1679]
1679,35 unequal: No Solution
Exploring Operation: 73-23=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 73+23=96, Resulting Numbers: [96]
96,35 unequal: No Solution
Moving to Node #0,4,0
Current State: 35:[25, 75], Operations: ['83-58=25', '2+73=75']
Exploring Operation: 25*75=1875, Resulting Numbers: [1875]
1875,35 unequal: No Solution
Exploring Operation: 75-25=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 75/25=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 25+75=100, Resulting Numbers: [100]
100,35 unequal: No Solution
Moving to Node #0,0,4
Current State: 35:[83, 30], Operations: ['73-58=15', '2*15=30']
Exploring Operation: 83-30=53, Resulting Numbers: [53]
53,35 unequal: No Solution
Exploring Operation: 83+30=113, Resulting Numbers: [113]
113,35 unequal: No Solution
Exploring Operation: 83*30=2490, Resulting Numbers: [2490]
2490,35 unequal: No Solution
Moving to Node #0,0,3
Current State: 35:[15, 81], Operations: ['73-58=15', '83-2=81']
Exploring Operation: 81-15=66, Resulting Numbers: [66]
66,35 unequal: No Solution
Exploring Operation: 15*81=1215, Resulting Numbers: [1215]
1215,35 unequal: No Solution
Exploring Operation: 15+81=96, Resulting Numbers: [96]
96,35 unequal: No Solution
Moving to Node #0,0,2
Current State: 35:[83, 13], Operations: ['73-58=15', '15-2=13']
Exploring Operation: 83*13=1079, Resulting Numbers: [1079]
1079,35 unequal: No Solution
Exploring Operation: 83-13=70, Resulting Numbers: [70]
70,35 unequal: No Solution
Exploring Operation: 83+13=96, Resulting Numbers: [96]
96,35 unequal: No Solution
Moving to Node #0,1,4
Current State: 35:[83, 44], Operations: ['58/2=29', '73-29=44']
Exploring Operation: 83+44=127, Resulting Numbers: [127]
127,35 unequal: No Solution
Exploring Operation: 83*44=3652, Resulting Numbers: [3652]
3652,35 unequal: No Solution
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,35 unequal: No Solution
Moving to Node #0,1,1
Current State: 35:[73, 54], Operations: ['58/2=29', '83-29=54']
Exploring Operation: 73*54=3942, Resulting Numbers: [3942]
3942,35 unequal: No Solution
Exploring Operation: 73-54=19, Resulting Numbers: [19]
19,35 unequal: No Solution
Exploring Operation: 73+54=127, Resulting Numbers: [127]
127,35 unequal: No Solution
Moving to Node #0,0,0
Current State: 35:[15, 85], Operations: ['73-58=15', '2+83=85']
Exploring Operation: 15+85=100, Resulting Numbers: [100]
100,35 unequal: No Solution
Exploring Operation: 85-15=70, Resulting Numbers: [70]
70,35 unequal: No Solution
Exploring Operation: 15*85=1275, Resulting Numbers: [1275]
1275,35 unequal: No Solution
Moving to Node #0,1,2
Current State: 35:[73, 112], Operations: ['58/2=29', '83+29=112']
Exploring Operation: 73*112=8176, Resulting Numbers: [8176]
8176,35 unequal: No Solution
Exploring Operation: 73+112=185, Resulting Numbers: [185]
185,35 unequal: No Solution
Exploring Operation: 112-73=39, Resulting Numbers: [39]
39,35 unequal: No Solution
Moving to Node #0,1,3
Current State: 35:[83, 102], Operations: ['58/2=29', '73+29=102']
Exploring Operation: 83*102=8466, Resulting Numbers: [8466]
8466,35 unequal: No Solution
Exploring Operation: 83+102=185, Resulting Numbers: [185]
185,35 unequal: No Solution
Exploring Operation: 102-83=19, Resulting Numbers: [19]
19,35 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
6,
23,
15,
45
] | 59 | [
"6+23=29",
"45-15=30",
"29+30=59"
] | Current State: 59:[6, 23, 15, 45], Operations: []
Exploring Operation: 6+23=29, Resulting Numbers: [15, 45, 29]
Generated Node #2: [15, 45, 29] from Operation: 6+23=29
Current State: 59:[15, 45, 29], Operations: ['6+23=29']
Exploring Operation: 45-15=30, Resulting Numbers: [29, 30]
Generated Node #3: [29, 30] from Operation: 45-15=30
Current State: 59:[29, 30], Operations: ['6+23=29', '45-15=30']
Exploring Operation: 29+30=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[6, 23, 15, 45], Operations: []
Exploring Operation: 6*15=90, Resulting Numbers: [23, 45, 90]
Generated Node #0,0: 59:[23, 45, 90] Operation: 6*15=90
Exploring Operation: 6+23=29, Resulting Numbers: [15, 45, 29]
Generated Node #0,1: 59:[15, 45, 29] Operation: 6+23=29
Moving to Node #0,0
Current State: 59:[23, 45, 90], Operations: ['6*15=90']
Exploring Operation: 90-23=67, Resulting Numbers: [45, 67]
Generated Node #0,0,0: 59:[45, 67] Operation: 90-23=67
Exploring Operation: 23+45=68, Resulting Numbers: [90, 68]
Generated Node #0,0,1: 59:[90, 68] Operation: 23+45=68
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 59:[45, 67], Operations: ['6*15=90', '90-23=67']
Exploring Operation: 67-45=22, Resulting Numbers: [22]
22,59 unequal: No Solution
Exploring Operation: 45+67=112, Resulting Numbers: [112]
112,59 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:[90, 68], Operations: ['6*15=90', '23+45=68']
Exploring Operation: 90+68=158, Resulting Numbers: [158]
158,59 unequal: No Solution
Exploring Operation: 90-68=22, Resulting Numbers: [22]
22,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 59:[15, 45, 29], Operations: ['6+23=29']
Exploring Operation: 15+29=44, Resulting Numbers: [45, 44]
Generated Node #0,1,0: 59:[45, 44] Operation: 15+29=44
Exploring Operation: 15+45=60, Resulting Numbers: [29, 60]
Generated Node #0,1,1: 59:[29, 60] Operation: 15+45=60
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 59:[45, 44], Operations: ['6+23=29', '15+29=44']
Exploring Operation: 45+44=89, Resulting Numbers: [89]
89,59 unequal: No Solution
Exploring Operation: 45-44=1, Resulting Numbers: [1]
1,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 59:[29, 60], Operations: ['6+23=29', '15+45=60']
Exploring Operation: 60-29=31, Resulting Numbers: [31]
31,59 unequal: No Solution
Exploring Operation: 29+60=89, Resulting Numbers: [89]
89,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
99,
14,
45,
56
] | 28 | [
"99-45=54",
"56-54=2",
"14*2=28"
] | Current State: 28:[99, 14, 45, 56], Operations: []
Exploring Operation: 99-45=54, Resulting Numbers: [14, 56, 54]
Generated Node #2: [14, 56, 54] from Operation: 99-45=54
Current State: 28:[14, 56, 54], Operations: ['99-45=54']
Exploring Operation: 56-54=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 56-54=2
Current State: 28:[14, 2], Operations: ['99-45=54', '56-54=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[99, 14, 45, 56], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [99, 45, 4]
Generated Node #0,0: 28:[99, 45, 4] Operation: 56/14=4
Exploring Operation: 99-45=54, Resulting Numbers: [14, 56, 54]
Generated Node #0,1: 28:[14, 56, 54] Operation: 99-45=54
Exploring Operation: 56-45=11, Resulting Numbers: [99, 14, 11]
Generated Node #0,2: 28:[99, 14, 11] Operation: 56-45=11
Exploring Operation: 99-14=85, Resulting Numbers: [45, 56, 85]
Generated Node #0,3: 28:[45, 56, 85] Operation: 99-14=85
Exploring Operation: 99-56=43, Resulting Numbers: [14, 45, 43]
Generated Node #0,4: 28:[14, 45, 43] Operation: 99-56=43
Moving to Node #0,4
Current State: 28:[14, 45, 43], Operations: ['99-56=43']
Exploring Operation: 45-14=31, Resulting Numbers: [43, 31]
Generated Node #0,4,0: 28:[43, 31] Operation: 45-14=31
Exploring Operation: 14+45=59, Resulting Numbers: [43, 59]
Generated Node #0,4,1: 28:[43, 59] Operation: 14+45=59
Exploring Operation: 43-14=29, Resulting Numbers: [45, 29]
Generated Node #0,4,2: 28:[45, 29] Operation: 43-14=29
Exploring Operation: 14+43=57, Resulting Numbers: [45, 57]
Generated Node #0,4,3: 28:[45, 57] Operation: 14+43=57
Exploring Operation: 45-43=2, Resulting Numbers: [14, 2]
Generated Node #0,4,4: 28:[14, 2] Operation: 45-43=2
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 28:[14, 2], Operations: ['99-56=43', '45-43=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,28 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,28 unequal: No Solution
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[99, 14, 45, 56], Operations: []
Exploring Operation: 99-56=43, Resulting Numbers: [14, 45, 43]
Generated Node #0,4: 28:[14, 45, 43] Operation: 99-56=43
Moving to Node #0,4
Current State: 28:[14, 45, 43], Operations: ['99-56=43']
Exploring Operation: 45-43=2, Resulting Numbers: [14, 2]
Generated Node #0,4,4: 28:[14, 2] Operation: 45-43=2
Moving to Node #0,4,4
Current State: 28:[14, 2], Operations: ['99-56=43', '45-43=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
50,
77,
6,
46
] | 87 | [
"50+77=127",
"46-6=40",
"127-40=87"
] | Current State: 87:[50, 77, 6, 46], Operations: []
Exploring Operation: 50+77=127, Resulting Numbers: [6, 46, 127]
Generated Node #2: [6, 46, 127] from Operation: 50+77=127
Current State: 87:[6, 46, 127], Operations: ['50+77=127']
Exploring Operation: 46-6=40, Resulting Numbers: [127, 40]
Generated Node #3: [127, 40] from Operation: 46-6=40
Current State: 87:[127, 40], Operations: ['50+77=127', '46-6=40']
Exploring Operation: 127-40=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[50, 77, 6, 46], Operations: []
Exploring Operation: 50+46=96, Resulting Numbers: [77, 6, 96]
Generated Node #0,0: 87:[77, 6, 96] Operation: 50+46=96
Exploring Operation: 77-50=27, Resulting Numbers: [6, 46, 27]
Generated Node #0,1: 87:[6, 46, 27] Operation: 77-50=27
Exploring Operation: 50-46=4, Resulting Numbers: [77, 6, 4]
Generated Node #0,2: 87:[77, 6, 4] Operation: 50-46=4
Moving to Node #0,2
Current State: 87:[77, 6, 4], Operations: ['50-46=4']
Exploring Operation: 77+4=81, Resulting Numbers: [6, 81]
Generated Node #0,2,0: 87:[6, 81] Operation: 77+4=81
Exploring Operation: 6-4=2, Resulting Numbers: [77, 2]
Generated Node #0,2,1: 87:[77, 2] Operation: 6-4=2
Exploring Operation: 77+6=83, Resulting Numbers: [4, 83]
Generated Node #0,2,2: 87:[4, 83] Operation: 77+6=83
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 87:[4, 83], Operations: ['50-46=4', '77+6=83']
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,87 unequal: No Solution
Exploring Operation: 4+83=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[50, 77, 6, 46], Operations: []
Exploring Operation: 50-46=4, Resulting Numbers: [77, 6, 4]
Generated Node #0,2: 87:[77, 6, 4] Operation: 50-46=4
Moving to Node #0,2
Current State: 87:[77, 6, 4], Operations: ['50-46=4']
Exploring Operation: 77+6=83, Resulting Numbers: [4, 83]
Generated Node #0,2,2: 87:[4, 83] Operation: 77+6=83
Moving to Node #0,2,2
Current State: 87:[4, 83], Operations: ['50-46=4', '77+6=83']
Exploring Operation: 4+83=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
88,
54,
74,
24
] | 44 | [
"88+54=142",
"74+24=98",
"142-98=44"
] | Current State: 44:[88, 54, 74, 24], Operations: []
Exploring Operation: 88+54=142, Resulting Numbers: [74, 24, 142]
Generated Node #2: [74, 24, 142] from Operation: 88+54=142
Current State: 44:[74, 24, 142], Operations: ['88+54=142']
Exploring Operation: 74+24=98, Resulting Numbers: [142, 98]
Generated Node #3: [142, 98] from Operation: 74+24=98
Current State: 44:[142, 98], Operations: ['88+54=142', '74+24=98']
Exploring Operation: 142-98=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[88, 54, 74, 24], Operations: []
Exploring Operation: 88-54=34, Resulting Numbers: [74, 24, 34]
Generated Node #0,0: 44:[74, 24, 34] Operation: 88-54=34
Exploring Operation: 88-74=14, Resulting Numbers: [54, 24, 14]
Generated Node #0,1: 44:[54, 24, 14] Operation: 88-74=14
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[54, 24, 14], Operations: ['88-74=14']
Exploring Operation: 54-24=30, Resulting Numbers: [14, 30]
Generated Node #0,1,0: 44:[14, 30] Operation: 54-24=30
Exploring Operation: 54-14=40, Resulting Numbers: [24, 40]
Generated Node #0,1,1: 44:[24, 40] Operation: 54-14=40
Moving to Node #0,1,1
Current State: 44:[24, 40], Operations: ['88-74=14', '54-14=40']
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 24+40=64, Resulting Numbers: [64]
64,44 unequal: No Solution
Moving to Node #0,1,0
Current State: 44:[14, 30], Operations: ['88-74=14', '54-24=30']
Exploring Operation: 14+30=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[88, 54, 74, 24], Operations: []
Exploring Operation: 88-74=14, Resulting Numbers: [54, 24, 14]
Generated Node #0,1: 44:[54, 24, 14] Operation: 88-74=14
Moving to Node #0,1
Current State: 44:[54, 24, 14], Operations: ['88-74=14']
Exploring Operation: 54-24=30, Resulting Numbers: [14, 30]
Generated Node #0,1,0: 44:[14, 30] Operation: 54-24=30
Moving to Node #0,1,0
Current State: 44:[14, 30], Operations: ['88-74=14', '54-24=30']
Exploring Operation: 14+30=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
50,
83,
28,
82
] | 21 | [
"83-50=33",
"82-28=54",
"54-33=21"
] | Current State: 21:[50, 83, 28, 82], Operations: []
Exploring Operation: 83-50=33, Resulting Numbers: [28, 82, 33]
Generated Node #2: [28, 82, 33] from Operation: 83-50=33
Current State: 21:[28, 82, 33], Operations: ['83-50=33']
Exploring Operation: 82-28=54, Resulting Numbers: [33, 54]
Generated Node #3: [33, 54] from Operation: 82-28=54
Current State: 21:[33, 54], Operations: ['83-50=33', '82-28=54']
Exploring Operation: 54-33=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[50, 83, 28, 82], Operations: []
Exploring Operation: 83-82=1, Resulting Numbers: [50, 28, 1]
Generated Node #0,0: 21:[50, 28, 1] Operation: 83-82=1
Exploring Operation: 82-50=32, Resulting Numbers: [83, 28, 32]
Generated Node #0,1: 21:[83, 28, 32] Operation: 82-50=32
Exploring Operation: 83-50=33, Resulting Numbers: [28, 82, 33]
Generated Node #0,2: 21:[28, 82, 33] Operation: 83-50=33
Exploring Operation: 50-28=22, Resulting Numbers: [83, 82, 22]
Generated Node #0,3: 21:[83, 82, 22] Operation: 50-28=22
Moving to Node #0,0
Current State: 21:[50, 28, 1], Operations: ['83-82=1']
Exploring Operation: 50*1=50, Resulting Numbers: [28, 50]
Generated Node #0,0,0: 21:[28, 50] Operation: 50*1=50
Exploring Operation: 50-1=49, Resulting Numbers: [28, 49]
Generated Node #0,0,1: 21:[28, 49] Operation: 50-1=49
Exploring Operation: 50-28=22, Resulting Numbers: [1, 22]
Generated Node #0,0,2: 21:[1, 22] Operation: 50-28=22
Exploring Operation: 28-1=27, Resulting Numbers: [50, 27]
Generated Node #0,0,3: 21:[50, 27] Operation: 28-1=27
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 21:[1, 22], Operations: ['83-82=1', '50-28=22']
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[50, 83, 28, 82], Operations: []
Exploring Operation: 83-82=1, Resulting Numbers: [50, 28, 1]
Generated Node #0,0: 21:[50, 28, 1] Operation: 83-82=1
Moving to Node #0,0
Current State: 21:[50, 28, 1], Operations: ['83-82=1']
Exploring Operation: 50-28=22, Resulting Numbers: [1, 22]
Generated Node #0,0,2: 21:[1, 22] Operation: 50-28=22
Moving to Node #0,0,2
Current State: 21:[1, 22], Operations: ['83-82=1', '50-28=22']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
72,
4,
13,
12
] | 69 | [
"72-4=68",
"13-12=1",
"68+1=69"
] | Current State: 69:[72, 4, 13, 12], Operations: []
Exploring Operation: 72-4=68, Resulting Numbers: [13, 12, 68]
Generated Node #2: [13, 12, 68] from Operation: 72-4=68
Current State: 69:[13, 12, 68], Operations: ['72-4=68']
Exploring Operation: 13-12=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 13-12=1
Current State: 69:[68, 1], Operations: ['72-4=68', '13-12=1']
Exploring Operation: 68+1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[72, 4, 13, 12], Operations: []
Exploring Operation: 13-12=1, Resulting Numbers: [72, 4, 1]
Generated Node #0,0: 69:[72, 4, 1] Operation: 13-12=1
Exploring Operation: 13+12=25, Resulting Numbers: [72, 4, 25]
Generated Node #0,1: 69:[72, 4, 25] Operation: 13+12=25
Moving to Node #0,0
Current State: 69:[72, 4, 1], Operations: ['13-12=1']
Exploring Operation: 72-1=71, Resulting Numbers: [4, 71]
Generated Node #0,0,0: 69:[4, 71] Operation: 72-1=71
Exploring Operation: 72-4=68, Resulting Numbers: [1, 68]
Generated Node #0,0,1: 69:[1, 68] Operation: 72-4=68
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[4, 71], Operations: ['13-12=1', '72-1=71']
Exploring Operation: 4+71=75, Resulting Numbers: [75]
75,69 unequal: No Solution
Exploring Operation: 71-4=67, Resulting Numbers: [67]
67,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 69:[1, 68], Operations: ['13-12=1', '72-4=68']
Exploring Operation: 1+68=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[72, 4, 13, 12], Operations: []
Exploring Operation: 13-12=1, Resulting Numbers: [72, 4, 1]
Generated Node #0,0: 69:[72, 4, 1] Operation: 13-12=1
Moving to Node #0,0
Current State: 69:[72, 4, 1], Operations: ['13-12=1']
Exploring Operation: 72-4=68, Resulting Numbers: [1, 68]
Generated Node #0,0,1: 69:[1, 68] Operation: 72-4=68
Moving to Node #0,0,1
Current State: 69:[1, 68], Operations: ['13-12=1', '72-4=68']
Exploring Operation: 1+68=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
10,
23,
2,
81
] | 68 | [
"10*23=230",
"2*81=162",
"230-162=68"
] | Current State: 68:[10, 23, 2, 81], Operations: []
Exploring Operation: 10*23=230, Resulting Numbers: [2, 81, 230]
Generated Node #2: [2, 81, 230] from Operation: 10*23=230
Current State: 68:[2, 81, 230], Operations: ['10*23=230']
Exploring Operation: 2*81=162, Resulting Numbers: [230, 162]
Generated Node #3: [230, 162] from Operation: 2*81=162
Current State: 68:[230, 162], Operations: ['10*23=230', '2*81=162']
Exploring Operation: 230-162=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[10, 23, 2, 81], Operations: []
Exploring Operation: 10+23=33, Resulting Numbers: [2, 81, 33]
Generated Node #0,0: 68:[2, 81, 33] Operation: 10+23=33
Exploring Operation: 81-10=71, Resulting Numbers: [23, 2, 71]
Generated Node #0,1: 68:[23, 2, 71] Operation: 81-10=71
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[23, 2, 71], Operations: ['81-10=71']
Exploring Operation: 23-2=21, Resulting Numbers: [71, 21]
Generated Node #0,1,0: 68:[71, 21] Operation: 23-2=21
Exploring Operation: 71-2=69, Resulting Numbers: [23, 69]
Generated Node #0,1,1: 68:[23, 69] Operation: 71-2=69
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 68:[71, 21], Operations: ['81-10=71', '23-2=21']
Exploring Operation: 71+21=92, Resulting Numbers: [92]
92,68 unequal: No Solution
Exploring Operation: 71-21=50, Resulting Numbers: [50]
50,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 68:[23, 69], Operations: ['81-10=71', '71-2=69']
Exploring Operation: 69-23=46, Resulting Numbers: [46]
46,68 unequal: No Solution
Exploring Operation: 69/23=3, Resulting Numbers: [3]
3,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[2, 81, 33], Operations: ['10+23=33']
Exploring Operation: 81-2=79, Resulting Numbers: [33, 79]
Generated Node #0,0,0: 68:[33, 79] Operation: 81-2=79
Exploring Operation: 2+33=35, Resulting Numbers: [81, 35]
Generated Node #0,0,1: 68:[81, 35] Operation: 2+33=35
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 68:[33, 79], Operations: ['10+23=33', '81-2=79']
Exploring Operation: 33+79=112, Resulting Numbers: [112]
112,68 unequal: No Solution
Exploring Operation: 79-33=46, Resulting Numbers: [46]
46,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 68:[81, 35], Operations: ['10+23=33', '2+33=35']
Exploring Operation: 81+35=116, Resulting Numbers: [116]
116,68 unequal: No Solution
Exploring Operation: 81-35=46, Resulting Numbers: [46]
46,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
22,
18,
51,
18
] | 37 | [
"22-18=4",
"51-18=33",
"4+33=37"
] | Current State: 37:[22, 18, 51, 18], Operations: []
Exploring Operation: 22-18=4, Resulting Numbers: [51, 4]
Generated Node #2: [51, 4] from Operation: 22-18=4
Current State: 37:[51, 4], Operations: ['22-18=4']
Exploring Operation: 51-18=33, Resulting Numbers: [4, 33]
Generated Node #3: [4, 33] from Operation: 51-18=33
Current State: 37:[4, 33], Operations: ['22-18=4', '51-18=33']
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[22, 18, 51, 18], Operations: []
Exploring Operation: 18+18=36, Resulting Numbers: [22, 51, 36]
Generated Node #0,0: 37:[22, 51, 36] Operation: 18+18=36
Exploring Operation: 22+18=40, Resulting Numbers: [51, 18, 40]
Generated Node #0,1: 37:[51, 18, 40] Operation: 22+18=40
Exploring Operation: 22+18=40, Resulting Numbers: [18, 51, 40]
Generated Node #0,2: 37:[18, 51, 40] Operation: 22+18=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[22, 51, 36], Operations: ['18+18=36']
Exploring Operation: 22+51=73, Resulting Numbers: [36, 73]
Generated Node #0,0,0: 37:[36, 73] Operation: 22+51=73
Exploring Operation: 51-22=29, Resulting Numbers: [36, 29]
Generated Node #0,0,1: 37:[36, 29] Operation: 51-22=29
Exploring Operation: 22+36=58, Resulting Numbers: [51, 58]
Generated Node #0,0,2: 37:[51, 58] Operation: 22+36=58
Moving to Node #0,0,1
Current State: 37:[36, 29], Operations: ['18+18=36', '51-22=29']
Exploring Operation: 36+29=65, Resulting Numbers: [65]
65,37 unequal: No Solution
Exploring Operation: 36*29=1044, Resulting Numbers: [1044]
1044,37 unequal: No Solution
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,37 unequal: No Solution
Moving to Node #0,0,2
Current State: 37:[51, 58], Operations: ['18+18=36', '22+36=58']
Exploring Operation: 51+58=109, Resulting Numbers: [109]
109,37 unequal: No Solution
Exploring Operation: 58-51=7, Resulting Numbers: [7]
7,37 unequal: No Solution
Exploring Operation: 51*58=2958, Resulting Numbers: [2958]
2958,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[36, 73], Operations: ['18+18=36', '22+51=73']
Exploring Operation: 73-36=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[22, 18, 51, 18], Operations: []
Exploring Operation: 18+18=36, Resulting Numbers: [22, 51, 36]
Generated Node #0,0: 37:[22, 51, 36] Operation: 18+18=36
Moving to Node #0,0
Current State: 37:[22, 51, 36], Operations: ['18+18=36']
Exploring Operation: 22+51=73, Resulting Numbers: [36, 73]
Generated Node #0,0,0: 37:[36, 73] Operation: 22+51=73
Moving to Node #0,0,0
Current State: 37:[36, 73], Operations: ['18+18=36', '22+51=73']
Exploring Operation: 73-36=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | mult_heuristic |
[
59,
66,
97,
69
] | 80 | [
"69-66=3",
"59*3=177",
"177-97=80"
] | Current State: 80:[59, 66, 97, 69], Operations: []
Exploring Operation: 69-66=3, Resulting Numbers: [59, 97, 3]
Generated Node #2: [59, 97, 3] from Operation: 69-66=3
Current State: 80:[59, 97, 3], Operations: ['69-66=3']
Exploring Operation: 59*3=177, Resulting Numbers: [97, 177]
Generated Node #3: [97, 177] from Operation: 59*3=177
Current State: 80:[97, 177], Operations: ['69-66=3', '59*3=177']
Exploring Operation: 177-97=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[59, 66, 97, 69], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [97, 69, 7]
Generated Node #0,0: 80:[97, 69, 7] Operation: 66-59=7
Exploring Operation: 69-59=10, Resulting Numbers: [66, 97, 10]
Generated Node #0,1: 80:[66, 97, 10] Operation: 69-59=10
Exploring Operation: 97-59=38, Resulting Numbers: [66, 69, 38]
Generated Node #0,2: 80:[66, 69, 38] Operation: 97-59=38
Start Sub Search at level 1: Moving to Node #0,2
Current State: 80:[66, 69, 38], Operations: ['97-59=38']
Exploring Operation: 69-38=31, Resulting Numbers: [66, 31]
Generated Node #0,2,0: 80:[66, 31] Operation: 69-38=31
Exploring Operation: 69-66=3, Resulting Numbers: [38, 3]
Generated Node #0,2,1: 80:[38, 3] Operation: 69-66=3
Exploring Operation: 66-38=28, Resulting Numbers: [69, 28]
Generated Node #0,2,2: 80:[69, 28] Operation: 66-38=28
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 80:[38, 3], Operations: ['97-59=38', '69-66=3']
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,80 unequal: No Solution
Exploring Operation: 38*3=114, Resulting Numbers: [114]
114,80 unequal: No Solution
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,80 unequal: No Solution
No 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: 80:[69, 28], Operations: ['97-59=38', '66-38=28']
Exploring Operation: 69-28=41, Resulting Numbers: [41]
41,80 unequal: No Solution
Exploring Operation: 69+28=97, Resulting Numbers: [97]
97,80 unequal: No Solution
Exploring Operation: 69*28=1932, Resulting Numbers: [1932]
1932,80 unequal: No Solution
No 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: 80:[66, 31], Operations: ['97-59=38', '69-38=31']
Exploring Operation: 66-31=35, Resulting Numbers: [35]
35,80 unequal: No Solution
Exploring Operation: 66+31=97, Resulting Numbers: [97]
97,80 unequal: No Solution
Exploring Operation: 66*31=2046, Resulting Numbers: [2046]
2046,80 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: 80:[97, 69, 7], Operations: ['66-59=7']
Exploring Operation: 97-69=28, Resulting Numbers: [7, 28]
Generated Node #0,0,0: 80:[7, 28] Operation: 97-69=28
Exploring Operation: 97-7=90, Resulting Numbers: [69, 90]
Generated Node #0,0,1: 80:[69, 90] Operation: 97-7=90
Exploring Operation: 69+7=76, Resulting Numbers: [97, 76]
Generated Node #0,0,2: 80:[97, 76] Operation: 69+7=76
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 80:[7, 28], Operations: ['66-59=7', '97-69=28']
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 7+28=35, Resulting Numbers: [35]
35,80 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,80 unequal: No Solution
No 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: 80:[69, 90], Operations: ['66-59=7', '97-7=90']
Exploring Operation: 90-69=21, Resulting Numbers: [21]
21,80 unequal: No Solution
Exploring Operation: 69*90=6210, Resulting Numbers: [6210]
6210,80 unequal: No Solution
Exploring Operation: 69+90=159, Resulting Numbers: [159]
159,80 unequal: No Solution
No 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: 80:[97, 76], Operations: ['66-59=7', '69+7=76']
Exploring Operation: 97*76=7372, Resulting Numbers: [7372]
7372,80 unequal: No Solution
Exploring Operation: 97+76=173, Resulting Numbers: [173]
173,80 unequal: No Solution
Exploring Operation: 97-76=21, Resulting Numbers: [21]
21,80 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: 80:[66, 97, 10], Operations: ['69-59=10']
Exploring Operation: 97-66=31, Resulting Numbers: [10, 31]
Generated Node #0,1,0: 80:[10, 31] Operation: 97-66=31
Exploring Operation: 66+10=76, Resulting Numbers: [97, 76]
Generated Node #0,1,1: 80:[97, 76] Operation: 66+10=76
Exploring Operation: 97-10=87, Resulting Numbers: [66, 87]
Generated Node #0,1,2: 80:[66, 87] Operation: 97-10=87
Moving to Node #0,1,0
Current State: 80:[10, 31], Operations: ['69-59=10', '97-66=31']
Exploring Operation: 10*31=310, Resulting Numbers: [310]
310,80 unequal: No Solution
Exploring Operation: 10+31=41, Resulting Numbers: [41]
41,80 unequal: No Solution
Exploring Operation: 31-10=21, Resulting Numbers: [21]
21,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[97, 76], Operations: ['69-59=10', '66+10=76']
Exploring Operation: 97-76=21, Resulting Numbers: [21]
21,80 unequal: No Solution
Exploring Operation: 97+76=173, Resulting Numbers: [173]
173,80 unequal: No Solution
Exploring Operation: 97*76=7372, Resulting Numbers: [7372]
7372,80 unequal: No Solution
Moving to Node #0,1,2
Current State: 80:[66, 87], Operations: ['69-59=10', '97-10=87']
Exploring Operation: 66*87=5742, Resulting Numbers: [5742]
5742,80 unequal: No Solution
Exploring Operation: 87-66=21, Resulting Numbers: [21]
21,80 unequal: No Solution
Exploring Operation: 66+87=153, Resulting Numbers: [153]
153,80 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 |
[
53,
72,
6,
86
] | 45 | [
"53+72=125",
"86-6=80",
"125-80=45"
] | Current State: 45:[53, 72, 6, 86], Operations: []
Exploring Operation: 53+72=125, Resulting Numbers: [6, 86, 125]
Generated Node #2: [6, 86, 125] from Operation: 53+72=125
Current State: 45:[6, 86, 125], Operations: ['53+72=125']
Exploring Operation: 86-6=80, Resulting Numbers: [125, 80]
Generated Node #3: [125, 80] from Operation: 86-6=80
Current State: 45:[125, 80], Operations: ['53+72=125', '86-6=80']
Exploring Operation: 125-80=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[53, 72, 6, 86], Operations: []
Exploring Operation: 86-72=14, Resulting Numbers: [53, 6, 14]
Generated Node #0,0: 45:[53, 6, 14] Operation: 86-72=14
Exploring Operation: 86-53=33, Resulting Numbers: [72, 6, 33]
Generated Node #0,1: 45:[72, 6, 33] Operation: 86-53=33
Moving to Node #0,0
Current State: 45:[53, 6, 14], Operations: ['86-72=14']
Exploring Operation: 53-6=47, Resulting Numbers: [14, 47]
Generated Node #0,0,0: 45:[14, 47] Operation: 53-6=47
Exploring Operation: 53-14=39, Resulting Numbers: [6, 39]
Generated Node #0,0,1: 45:[6, 39] Operation: 53-14=39
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 45:[14, 47], Operations: ['86-72=14', '53-6=47']
Exploring Operation: 14+47=61, Resulting Numbers: [61]
61,45 unequal: No Solution
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,45 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 #0,0,1
Current State: 45:[6, 39], Operations: ['86-72=14', '53-14=39']
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[53, 72, 6, 86], Operations: []
Exploring Operation: 86-72=14, Resulting Numbers: [53, 6, 14]
Generated Node #0,0: 45:[53, 6, 14] Operation: 86-72=14
Moving to Node #0,0
Current State: 45:[53, 6, 14], Operations: ['86-72=14']
Exploring Operation: 53-14=39, Resulting Numbers: [6, 39]
Generated Node #0,0,1: 45:[6, 39] Operation: 53-14=39
Moving to Node #0,0,1
Current State: 45:[6, 39], Operations: ['86-72=14', '53-14=39']
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
47,
90,
43,
64
] | 65 | [
"90-47=43",
"43/43=1",
"64+1=65"
] | Current State: 65:[47, 90, 43, 64], Operations: []
Exploring Operation: 90-47=43, Resulting Numbers: [43, 64, 43]
Generated Node #2: [43, 64, 43] from Operation: 90-47=43
Current State: 65:[43, 64, 43], Operations: ['90-47=43']
Exploring Operation: 43/43=1, Resulting Numbers: [64, 1]
Generated Node #3: [64, 1] from Operation: 43/43=1
Current State: 65:[64, 1], Operations: ['90-47=43', '43/43=1']
Exploring Operation: 64+1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[47, 90, 43, 64], Operations: []
Exploring Operation: 47+43=90, Resulting Numbers: [90, 64, 90]
Generated Node #0,0: 65:[90, 64, 90] Operation: 47+43=90
Exploring Operation: 90-43=47, Resulting Numbers: [47, 64, 47]
Generated Node #0,1: 65:[47, 64, 47] Operation: 90-43=47
Exploring Operation: 90-47=43, Resulting Numbers: [43, 64, 43]
Generated Node #0,2: 65:[43, 64, 43] Operation: 90-47=43
Exploring Operation: 47-43=4, Resulting Numbers: [90, 64, 4]
Generated Node #0,3: 65:[90, 64, 4] Operation: 47-43=4
Moving to Node #0,3
Current State: 65:[90, 64, 4], Operations: ['47-43=4']
Exploring Operation: 64+4=68, Resulting Numbers: [90, 68]
Generated Node #0,3,0: 65:[90, 68] Operation: 64+4=68
Exploring Operation: 64/4=16, Resulting Numbers: [90, 16]
Generated Node #0,3,1: 65:[90, 16] Operation: 64/4=16
Exploring Operation: 90-4=86, Resulting Numbers: [64, 86]
Generated Node #0,3,2: 65:[64, 86] Operation: 90-4=86
Exploring Operation: 90-64=26, Resulting Numbers: [4, 26]
Generated Node #0,3,3: 65:[4, 26] Operation: 90-64=26
Moving to Node #0,1
Current State: 65:[47, 64, 47], Operations: ['90-43=47']
Exploring Operation: 64-47=17, Resulting Numbers: [47, 17]
Generated Node #0,1,0: 65:[47, 17] Operation: 64-47=17
Exploring Operation: 64-47=17, Resulting Numbers: [47, 17]
Generated Node #0,1,1: 65:[47, 17] Operation: 64-47=17
Exploring Operation: 47/47=1, Resulting Numbers: [64, 1]
Generated Node #0,1,2: 65:[64, 1] Operation: 47/47=1
Exploring Operation: 47-47=0, Resulting Numbers: [64, 0]
Generated Node #0,1,3: 65:[64, 0] Operation: 47-47=0
Moving to Node #0,2
Current State: 65:[43, 64, 43], Operations: ['90-47=43']
Exploring Operation: 43+43=86, Resulting Numbers: [64, 86]
Generated Node #0,2,0: 65:[64, 86] Operation: 43+43=86
Exploring Operation: 43/43=1, Resulting Numbers: [64, 1]
Generated Node #0,2,1: 65:[64, 1] Operation: 43/43=1
Exploring Operation: 64-43=21, Resulting Numbers: [43, 21]
Generated Node #0,2,2: 65:[43, 21] Operation: 64-43=21
Exploring Operation: 43-43=0, Resulting Numbers: [64, 0]
Generated Node #0,2,3: 65:[64, 0] Operation: 43-43=0
Moving to Node #0,0
Current State: 65:[90, 64, 90], Operations: ['47+43=90']
Exploring Operation: 90/90=1, Resulting Numbers: [64, 1]
Generated Node #0,0,0: 65:[64, 1] Operation: 90/90=1
Exploring Operation: 90-64=26, Resulting Numbers: [90, 26]
Generated Node #0,0,1: 65:[90, 26] Operation: 90-64=26
Exploring Operation: 90-90=0, Resulting Numbers: [64, 0]
Generated Node #0,0,2: 65:[64, 0] Operation: 90-90=0
Exploring Operation: 90-64=26, Resulting Numbers: [90, 26]
Generated Node #0,0,3: 65:[90, 26] Operation: 90-64=26
Moving to Node #0,1,2
Current State: 65:[64, 1], Operations: ['90-43=47', '47/47=1']
Exploring Operation: 64+1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[47, 90, 43, 64], Operations: []
Exploring Operation: 90-43=47, Resulting Numbers: [47, 64, 47]
Generated Node #0,1: 65:[47, 64, 47] Operation: 90-43=47
Moving to Node #0,1
Current State: 65:[47, 64, 47], Operations: ['90-43=47']
Exploring Operation: 47/47=1, Resulting Numbers: [64, 1]
Generated Node #0,1,2: 65:[64, 1] Operation: 47/47=1
Moving to Node #0,1,2
Current State: 65:[64, 1], Operations: ['90-43=47', '47/47=1']
Exploring Operation: 64+1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 0.978299 | hs_4 | mult_heuristic |
[
14,
90,
5,
25
] | 45 | [
"14*5=70",
"90+25=115",
"115-70=45"
] | Current State: 45:[14, 90, 5, 25], Operations: []
Exploring Operation: 14*5=70, Resulting Numbers: [90, 25, 70]
Generated Node #2: [90, 25, 70] from Operation: 14*5=70
Current State: 45:[90, 25, 70], Operations: ['14*5=70']
Exploring Operation: 90+25=115, Resulting Numbers: [70, 115]
Generated Node #3: [70, 115] from Operation: 90+25=115
Current State: 45:[70, 115], Operations: ['14*5=70', '90+25=115']
Exploring Operation: 115-70=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[14, 90, 5, 25], Operations: []
Exploring Operation: 90/5=18, Resulting Numbers: [14, 25, 18]
Generated Node #0,0: 45:[14, 25, 18] Operation: 90/5=18
Exploring Operation: 90-25=65, Resulting Numbers: [14, 5, 65]
Generated Node #0,1: 45:[14, 5, 65] Operation: 90-25=65
Exploring Operation: 25/5=5, Resulting Numbers: [14, 90, 5]
Generated Node #0,2: 45:[14, 90, 5] Operation: 25/5=5
Exploring Operation: 90-14=76, Resulting Numbers: [5, 25, 76]
Generated Node #0,3: 45:[5, 25, 76] Operation: 90-14=76
Moving to Node #0,0
Current State: 45:[14, 25, 18], Operations: ['90/5=18']
Exploring Operation: 25-14=11, Resulting Numbers: [18, 11]
Generated Node #0,0,0: 45:[18, 11] Operation: 25-14=11
Exploring Operation: 25-18=7, Resulting Numbers: [14, 7]
Generated Node #0,0,1: 45:[14, 7] Operation: 25-18=7
Exploring Operation: 14+25=39, Resulting Numbers: [18, 39]
Generated Node #0,0,2: 45:[18, 39] Operation: 14+25=39
Exploring Operation: 25+18=43, Resulting Numbers: [14, 43]
Generated Node #0,0,3: 45:[14, 43] Operation: 25+18=43
Moving to Node #0,1
Current State: 45:[14, 5, 65], Operations: ['90-25=65']
Exploring Operation: 65-14=51, Resulting Numbers: [5, 51]
Generated Node #0,1,0: 45:[5, 51] Operation: 65-14=51
Exploring Operation: 65/5=13, Resulting Numbers: [14, 13]
Generated Node #0,1,1: 45:[14, 13] Operation: 65/5=13
Exploring Operation: 65-5=60, Resulting Numbers: [14, 60]
Generated Node #0,1,2: 45:[14, 60] Operation: 65-5=60
Exploring Operation: 14-5=9, Resulting Numbers: [65, 9]
Generated Node #0,1,3: 45:[65, 9] Operation: 14-5=9
Moving to Node #0,3
Current State: 45:[5, 25, 76], Operations: ['90-14=76']
Exploring Operation: 25/5=5, Resulting Numbers: [76, 5]
Generated Node #0,3,0: 45:[76, 5] Operation: 25/5=5
Exploring Operation: 76-5=71, Resulting Numbers: [25, 71]
Generated Node #0,3,1: 45:[25, 71] Operation: 76-5=71
Exploring Operation: 25-5=20, Resulting Numbers: [76, 20]
Generated Node #0,3,2: 45:[76, 20] Operation: 25-5=20
Exploring Operation: 76-25=51, Resulting Numbers: [5, 51]
Generated Node #0,3,3: 45:[5, 51] Operation: 76-25=51
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 45:[5, 51], Operations: ['90-14=76', '76-25=51']
Exploring Operation: 5+51=56, Resulting Numbers: [56]
56,45 unequal: No Solution
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 5*51=255, Resulting Numbers: [255]
255,45 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 #0,3,0
Current State: 45:[76, 5], Operations: ['90-14=76', '25/5=5']
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,45 unequal: No Solution
Exploring Operation: 76*5=380, Resulting Numbers: [380]
380,45 unequal: No Solution
Exploring Operation: 76+5=81, Resulting Numbers: [81]
81,45 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 #0,3,1
Current State: 45:[25, 71], Operations: ['90-14=76', '76-5=71']
Exploring Operation: 25+71=96, Resulting Numbers: [96]
96,45 unequal: No Solution
Exploring Operation: 71-25=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Exploring Operation: 25*71=1775, Resulting Numbers: [1775]
1775,45 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 #0,3,2
Current State: 45:[76, 20], Operations: ['90-14=76', '25-5=20']
Exploring Operation: 76+20=96, Resulting Numbers: [96]
96,45 unequal: No Solution
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,45 unequal: No Solution
Exploring Operation: 76*20=1520, Resulting Numbers: [1520]
1520,45 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: 45:[14, 90, 5], Operations: ['25/5=5']
Exploring Operation: 14-5=9, Resulting Numbers: [90, 9]
Generated Node #0,2,0: 45:[90, 9] Operation: 14-5=9
Exploring Operation: 90-14=76, Resulting Numbers: [5, 76]
Generated Node #0,2,1: 45:[5, 76] Operation: 90-14=76
Exploring Operation: 90-5=85, Resulting Numbers: [14, 85]
Generated Node #0,2,2: 45:[14, 85] Operation: 90-5=85
Exploring Operation: 90/5=18, Resulting Numbers: [14, 18]
Generated Node #0,2,3: 45:[14, 18] Operation: 90/5=18
Moving to Node #0,0,1
Current State: 45:[14, 7], Operations: ['90/5=18', '25-18=7']
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,45 unequal: No Solution
Exploring Operation: 14+7=21, Resulting Numbers: [21]
21,45 unequal: No Solution
Exploring Operation: 14*7=98, Resulting Numbers: [98]
98,45 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,45 unequal: No Solution
Moving to Node #0,0,3
Current State: 45:[14, 43], Operations: ['90/5=18', '25+18=43']
Exploring Operation: 14+43=57, Resulting Numbers: [57]
57,45 unequal: No Solution
Exploring Operation: 14*43=602, Resulting Numbers: [602]
602,45 unequal: No Solution
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,45 unequal: No Solution
Moving to Node #0,1,1
Current State: 45:[14, 13], Operations: ['90-25=65', '65/5=13']
Exploring Operation: 14*13=182, Resulting Numbers: [182]
182,45 unequal: No Solution
Exploring Operation: 14-13=1, Resulting Numbers: [1]
1,45 unequal: No Solution
Exploring Operation: 14+13=27, Resulting Numbers: [27]
27,45 unequal: No Solution
Moving to Node #0,2,3
Current State: 45:[14, 18], Operations: ['25/5=5', '90/5=18']
Exploring Operation: 14*18=252, Resulting Numbers: [252]
252,45 unequal: No Solution
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,45 unequal: No Solution
Exploring Operation: 14+18=32, Resulting Numbers: [32]
32,45 unequal: No Solution
Moving to Node #0,0,0
Current State: 45:[18, 11], Operations: ['90/5=18', '25-14=11']
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,45 unequal: No Solution
Exploring Operation: 18*11=198, Resulting Numbers: [198]
198,45 unequal: No Solution
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,45 unequal: No Solution
Moving to Node #0,1,0
Current State: 45:[5, 51], Operations: ['90-25=65', '65-14=51']
Exploring Operation: 5*51=255, Resulting Numbers: [255]
255,45 unequal: No Solution
Exploring Operation: 5+51=56, Resulting Numbers: [56]
56,45 unequal: No Solution
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Moving to Node #0,0,2
Current State: 45:[18, 39], Operations: ['90/5=18', '14+25=39']
Exploring Operation: 18*39=702, Resulting Numbers: [702]
702,45 unequal: No Solution
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,45 unequal: No Solution
Exploring Operation: 18+39=57, Resulting Numbers: [57]
57,45 unequal: No Solution
Moving to Node #0,1,2
Current State: 45:[14, 60], Operations: ['90-25=65', '65-5=60']
Exploring Operation: 14*60=840, Resulting Numbers: [840]
840,45 unequal: No Solution
Exploring Operation: 14+60=74, Resulting Numbers: [74]
74,45 unequal: No Solution
Exploring Operation: 60-14=46, Resulting Numbers: [46]
46,45 unequal: No Solution
Moving to Node #0,1,3
Current State: 45:[65, 9], Operations: ['90-25=65', '14-5=9']
Exploring Operation: 65*9=585, Resulting Numbers: [585]
585,45 unequal: No Solution
Exploring Operation: 65+9=74, Resulting Numbers: [74]
74,45 unequal: No Solution
Exploring Operation: 65-9=56, Resulting Numbers: [56]
56,45 unequal: No Solution
Moving to Node #0,2,1
Current State: 45:[5, 76], Operations: ['25/5=5', '90-14=76']
Exploring Operation: 5+76=81, Resulting Numbers: [81]
81,45 unequal: No Solution
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,45 unequal: No Solution
Exploring Operation: 5*76=380, Resulting Numbers: [380]
380,45 unequal: No Solution
Moving to Node #0,2,2
Current State: 45:[14, 85], Operations: ['25/5=5', '90-5=85']
Exploring Operation: 14+85=99, Resulting Numbers: [99]
99,45 unequal: No Solution
Exploring Operation: 14*85=1190, Resulting Numbers: [1190]
1190,45 unequal: No Solution
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,45 unequal: No Solution
Moving to Node #0,2,0
Current State: 45:[90, 9], Operations: ['25/5=5', '14-5=9']
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,45 unequal: No Solution
Exploring Operation: 90+9=99, Resulting Numbers: [99]
99,45 unequal: No Solution
Exploring Operation: 90*9=810, Resulting Numbers: [810]
810,45 unequal: No Solution
Exploring Operation: 90-9=81, Resulting Numbers: [81]
81,45 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
39,
77,
20,
2
] | 68 | [
"39+77=116",
"20+116=136",
"136/2=68"
] | Current State: 68:[39, 77, 20, 2], Operations: []
Exploring Operation: 39+77=116, Resulting Numbers: [20, 2, 116]
Generated Node #2: [20, 2, 116] from Operation: 39+77=116
Current State: 68:[20, 2, 116], Operations: ['39+77=116']
Exploring Operation: 20+116=136, Resulting Numbers: [2, 136]
Generated Node #3: [2, 136] from Operation: 20+116=136
Current State: 68:[2, 136], Operations: ['39+77=116', '20+116=136']
Exploring Operation: 136/2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[39, 77, 20, 2], Operations: []
Exploring Operation: 77-39=38, Resulting Numbers: [20, 2, 38]
Generated Node #0,0: 68:[20, 2, 38] Operation: 77-39=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[20, 2, 38], Operations: ['77-39=38']
Exploring Operation: 38-20=18, Resulting Numbers: [2, 18]
Generated Node #0,0,0: 68:[2, 18] Operation: 38-20=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 68:[2, 18], Operations: ['77-39=38', '38-20=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
3,
19,
15,
69
] | 47 | [
"15+69=84",
"84/3=28",
"19+28=47"
] | Current State: 47:[3, 19, 15, 69], Operations: []
Exploring Operation: 15+69=84, Resulting Numbers: [3, 19, 84]
Generated Node #2: [3, 19, 84] from Operation: 15+69=84
Current State: 47:[3, 19, 84], Operations: ['15+69=84']
Exploring Operation: 84/3=28, Resulting Numbers: [19, 28]
Generated Node #3: [19, 28] from Operation: 84/3=28
Current State: 47:[19, 28], Operations: ['15+69=84', '84/3=28']
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[3, 19, 15, 69], Operations: []
Exploring Operation: 3*15=45, Resulting Numbers: [19, 69, 45]
Generated Node #0,0: 47:[19, 69, 45] Operation: 3*15=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 47:[19, 69, 45], Operations: ['3*15=45']
Exploring Operation: 69-19=50, Resulting Numbers: [45, 50]
Generated Node #0,0,0: 47:[45, 50] Operation: 69-19=50
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 47:[45, 50], Operations: ['3*15=45', '69-19=50']
Exploring Operation: 50-45=5, Resulting Numbers: [5]
5,47 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_1 | sum_heuristic |
[
72,
76,
38,
86
] | 44 | [
"76-72=4",
"86-38=48",
"48-4=44"
] | Current State: 44:[72, 76, 38, 86], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [38, 86, 4]
Generated Node #2: [38, 86, 4] from Operation: 76-72=4
Current State: 44:[38, 86, 4], Operations: ['76-72=4']
Exploring Operation: 86-38=48, Resulting Numbers: [4, 48]
Generated Node #3: [4, 48] from Operation: 86-38=48
Current State: 44:[4, 48], Operations: ['76-72=4', '86-38=48']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[72, 76, 38, 86], Operations: []
Exploring Operation: 86-76=10, Resulting Numbers: [72, 38, 10]
Generated Node #0,0: 44:[72, 38, 10] Operation: 86-76=10
Exploring Operation: 86-38=48, Resulting Numbers: [72, 76, 48]
Generated Node #0,1: 44:[72, 76, 48] Operation: 86-38=48
Exploring Operation: 76/38=2, Resulting Numbers: [72, 86, 2]
Generated Node #0,2: 44:[72, 86, 2] Operation: 76/38=2
Exploring Operation: 86-72=14, Resulting Numbers: [76, 38, 14]
Generated Node #0,3: 44:[76, 38, 14] Operation: 86-72=14
Exploring Operation: 76-72=4, Resulting Numbers: [38, 86, 4]
Generated Node #0,4: 44:[38, 86, 4] Operation: 76-72=4
Moving to Node #0,0
Current State: 44:[72, 38, 10], Operations: ['86-76=10']
Exploring Operation: 38+10=48, Resulting Numbers: [72, 48]
Generated Node #0,0,0: 44:[72, 48] Operation: 38+10=48
Exploring Operation: 72-38=34, Resulting Numbers: [10, 34]
Generated Node #0,0,1: 44:[10, 34] Operation: 72-38=34
Exploring Operation: 38-10=28, Resulting Numbers: [72, 28]
Generated Node #0,0,2: 44:[72, 28] Operation: 38-10=28
Exploring Operation: 72+10=82, Resulting Numbers: [38, 82]
Generated Node #0,0,3: 44:[38, 82] Operation: 72+10=82
Exploring Operation: 72-10=62, Resulting Numbers: [38, 62]
Generated Node #0,0,4: 44:[38, 62] Operation: 72-10=62
Moving to Node #0,3
Current State: 44:[76, 38, 14], Operations: ['86-72=14']
Exploring Operation: 38+14=52, Resulting Numbers: [76, 52]
Generated Node #0,3,0: 44:[76, 52] Operation: 38+14=52
Exploring Operation: 76/38=2, Resulting Numbers: [14, 2]
Generated Node #0,3,1: 44:[14, 2] Operation: 76/38=2
Exploring Operation: 38-14=24, Resulting Numbers: [76, 24]
Generated Node #0,3,2: 44:[76, 24] Operation: 38-14=24
Exploring Operation: 76-14=62, Resulting Numbers: [38, 62]
Generated Node #0,3,3: 44:[38, 62] Operation: 76-14=62
Exploring Operation: 76-38=38, Resulting Numbers: [14, 38]
Generated Node #0,3,4: 44:[14, 38] Operation: 76-38=38
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 44:[14, 2], Operations: ['86-72=14', '76/38=2']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,44 unequal: No Solution
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,44 unequal: No Solution
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 44:[14, 38], Operations: ['86-72=14', '76-38=38']
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Exploring Operation: 14*38=532, Resulting Numbers: [532]
532,44 unequal: No Solution
Exploring Operation: 14+38=52, Resulting Numbers: [52]
52,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 44:[38, 62], Operations: ['86-72=14', '76-14=62']
Exploring Operation: 62-38=24, Resulting Numbers: [24]
24,44 unequal: No Solution
Exploring Operation: 38*62=2356, Resulting Numbers: [2356]
2356,44 unequal: No Solution
Exploring Operation: 38+62=100, Resulting Numbers: [100]
100,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 44:[76, 24], Operations: ['86-72=14', '38-14=24']
Exploring Operation: 76*24=1824, Resulting Numbers: [1824]
1824,44 unequal: No Solution
Exploring Operation: 76-24=52, Resulting Numbers: [52]
52,44 unequal: No Solution
Exploring Operation: 76+24=100, Resulting Numbers: [100]
100,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 44:[76, 52], Operations: ['86-72=14', '38+14=52']
Exploring Operation: 76+52=128, Resulting Numbers: [128]
128,44 unequal: No Solution
Exploring Operation: 76*52=3952, Resulting Numbers: [3952]
3952,44 unequal: No Solution
Exploring Operation: 76-52=24, Resulting Numbers: [24]
24,44 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: 44:[38, 86, 4], Operations: ['76-72=4']
Exploring Operation: 86+4=90, Resulting Numbers: [38, 90]
Generated Node #0,4,0: 44:[38, 90] Operation: 86+4=90
Exploring Operation: 86-4=82, Resulting Numbers: [38, 82]
Generated Node #0,4,1: 44:[38, 82] Operation: 86-4=82
Exploring Operation: 38-4=34, Resulting Numbers: [86, 34]
Generated Node #0,4,2: 44:[86, 34] Operation: 38-4=34
Exploring Operation: 86-38=48, Resulting Numbers: [4, 48]
Generated Node #0,4,3: 44:[4, 48] Operation: 86-38=48
Exploring Operation: 38+4=42, Resulting Numbers: [86, 42]
Generated Node #0,4,4: 44:[86, 42] Operation: 38+4=42
Moving to Node #0,1
Current State: 44:[72, 76, 48], Operations: ['86-38=48']
Exploring Operation: 72+48=120, Resulting Numbers: [76, 120]
Generated Node #0,1,0: 44:[76, 120] Operation: 72+48=120
Exploring Operation: 72+76=148, Resulting Numbers: [48, 148]
Generated Node #0,1,1: 44:[48, 148] Operation: 72+76=148
Exploring Operation: 76-72=4, Resulting Numbers: [48, 4]
Generated Node #0,1,2: 44:[48, 4] Operation: 76-72=4
Exploring Operation: 72-48=24, Resulting Numbers: [76, 24]
Generated Node #0,1,3: 44:[76, 24] Operation: 72-48=24
Exploring Operation: 76-48=28, Resulting Numbers: [72, 28]
Generated Node #0,1,4: 44:[72, 28] Operation: 76-48=28
Moving to Node #0,2
Current State: 44:[72, 86, 2], Operations: ['76/38=2']
Exploring Operation: 86/2=43, Resulting Numbers: [72, 43]
Generated Node #0,2,0: 44:[72, 43] Operation: 86/2=43
Exploring Operation: 86-72=14, Resulting Numbers: [2, 14]
Generated Node #0,2,1: 44:[2, 14] Operation: 86-72=14
Exploring Operation: 86-2=84, Resulting Numbers: [72, 84]
Generated Node #0,2,2: 44:[72, 84] Operation: 86-2=84
Exploring Operation: 72-2=70, Resulting Numbers: [86, 70]
Generated Node #0,2,3: 44:[86, 70] Operation: 72-2=70
Exploring Operation: 72/2=36, Resulting Numbers: [86, 36]
Generated Node #0,2,4: 44:[86, 36] Operation: 72/2=36
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 44:[2, 14], Operations: ['76/38=2', '86-72=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,44 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,44 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 44:[72, 43], Operations: ['76/38=2', '86/2=43']
Exploring Operation: 72+43=115, Resulting Numbers: [115]
115,44 unequal: No Solution
Exploring Operation: 72*43=3096, Resulting Numbers: [3096]
3096,44 unequal: No Solution
Exploring Operation: 72-43=29, Resulting Numbers: [29]
29,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 44:[86, 36], Operations: ['76/38=2', '72/2=36']
Exploring Operation: 86-36=50, Resulting Numbers: [50]
50,44 unequal: No Solution
Exploring Operation: 86*36=3096, Resulting Numbers: [3096]
3096,44 unequal: No Solution
Exploring Operation: 86+36=122, Resulting Numbers: [122]
122,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 44:[72, 84], Operations: ['76/38=2', '86-2=84']
Exploring Operation: 84-72=12, Resulting Numbers: [12]
12,44 unequal: No Solution
Exploring Operation: 72+84=156, Resulting Numbers: [156]
156,44 unequal: No Solution
Exploring Operation: 72*84=6048, Resulting Numbers: [6048]
6048,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 44:[86, 70], Operations: ['76/38=2', '72-2=70']
Exploring Operation: 86+70=156, Resulting Numbers: [156]
156,44 unequal: No Solution
Exploring Operation: 86-70=16, Resulting Numbers: [16]
16,44 unequal: No Solution
Exploring Operation: 86*70=6020, Resulting Numbers: [6020]
6020,44 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,3
Current State: 44:[4, 48], Operations: ['76-72=4', '86-38=48']
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,44 unequal: No Solution
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[72, 76, 38, 86], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [38, 86, 4]
Generated Node #0,4: 44:[38, 86, 4] Operation: 76-72=4
Moving to Node #0,4
Current State: 44:[38, 86, 4], Operations: ['76-72=4']
Exploring Operation: 86-38=48, Resulting Numbers: [4, 48]
Generated Node #0,4,3: 44:[4, 48] Operation: 86-38=48
Moving to Node #0,4,3
Current State: 44:[4, 48], Operations: ['76-72=4', '86-38=48']
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 0.940972 | hs_5 | mult_heuristic |
[
61,
40,
92,
80
] | 89 | [
"61+40=101",
"92-80=12",
"101-12=89"
] | Current State: 89:[61, 40, 92, 80], Operations: []
Exploring Operation: 61+40=101, Resulting Numbers: [92, 80, 101]
Generated Node #2: [92, 80, 101] from Operation: 61+40=101
Current State: 89:[92, 80, 101], Operations: ['61+40=101']
Exploring Operation: 92-80=12, Resulting Numbers: [101, 12]
Generated Node #3: [101, 12] from Operation: 92-80=12
Current State: 89:[101, 12], Operations: ['61+40=101', '92-80=12']
Exploring Operation: 101-12=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[61, 40, 92, 80], Operations: []
Exploring Operation: 92-40=52, Resulting Numbers: [61, 80, 52]
Generated Node #0,0: 89:[61, 80, 52] Operation: 92-40=52
Exploring Operation: 61+40=101, Resulting Numbers: [92, 80, 101]
Generated Node #0,1: 89:[92, 80, 101] Operation: 61+40=101
Exploring Operation: 40+80=120, Resulting Numbers: [61, 92, 120]
Generated Node #0,2: 89:[61, 92, 120] Operation: 40+80=120
Exploring Operation: 61-40=21, Resulting Numbers: [92, 80, 21]
Generated Node #0,3: 89:[92, 80, 21] Operation: 61-40=21
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[92, 80, 101], Operations: ['61+40=101']
Exploring Operation: 92+80=172, Resulting Numbers: [101, 172]
Generated Node #0,1,0: 89:[101, 172] Operation: 92+80=172
Exploring Operation: 101-80=21, Resulting Numbers: [92, 21]
Generated Node #0,1,1: 89:[92, 21] Operation: 101-80=21
Exploring Operation: 101-92=9, Resulting Numbers: [80, 9]
Generated Node #0,1,2: 89:[80, 9] Operation: 101-92=9
Exploring Operation: 92-80=12, Resulting Numbers: [101, 12]
Generated Node #0,1,3: 89:[101, 12] Operation: 92-80=12
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 89:[92, 21], Operations: ['61+40=101', '101-80=21']
Exploring Operation: 92+21=113, Resulting Numbers: [113]
113,89 unequal: No Solution
Exploring Operation: 92-21=71, Resulting Numbers: [71]
71,89 unequal: No Solution
Exploring Operation: 92*21=1932, Resulting Numbers: [1932]
1932,89 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 #0,1,2
Current State: 89:[80, 9], Operations: ['61+40=101', '101-92=9']
Exploring Operation: 80*9=720, Resulting Numbers: [720]
720,89 unequal: No Solution
Exploring Operation: 80+9=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[61, 40, 92, 80], Operations: []
Exploring Operation: 61+40=101, Resulting Numbers: [92, 80, 101]
Generated Node #0,1: 89:[92, 80, 101] Operation: 61+40=101
Moving to Node #0,1
Current State: 89:[92, 80, 101], Operations: ['61+40=101']
Exploring Operation: 101-92=9, Resulting Numbers: [80, 9]
Generated Node #0,1,2: 89:[80, 9] Operation: 101-92=9
Moving to Node #0,1,2
Current State: 89:[80, 9], Operations: ['61+40=101', '101-92=9']
Exploring Operation: 80+9=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
33,
93,
8,
56
] | 12 | [
"93-33=60",
"56-8=48",
"60-48=12"
] | Current State: 12:[33, 93, 8, 56], Operations: []
Exploring Operation: 93-33=60, Resulting Numbers: [8, 56, 60]
Generated Node #2: [8, 56, 60] from Operation: 93-33=60
Current State: 12:[8, 56, 60], Operations: ['93-33=60']
Exploring Operation: 56-8=48, Resulting Numbers: [60, 48]
Generated Node #3: [60, 48] from Operation: 56-8=48
Current State: 12:[60, 48], Operations: ['93-33=60', '56-8=48']
Exploring Operation: 60-48=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[33, 93, 8, 56], Operations: []
Exploring Operation: 93-56=37, Resulting Numbers: [33, 8, 37]
Generated Node #0,0: 12:[33, 8, 37] Operation: 93-56=37
Moving to Node #0,0
Current State: 12:[33, 8, 37], Operations: ['93-56=37']
Exploring Operation: 37-33=4, Resulting Numbers: [8, 4]
Generated Node #0,0,0: 12:[8, 4] Operation: 37-33=4
Moving to Node #0,0,0
Current State: 12:[8, 4], Operations: ['93-56=37', '37-33=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[33, 93, 8, 56], Operations: []
Exploring Operation: 93-56=37, Resulting Numbers: [33, 8, 37]
Generated Node #0,0: 12:[33, 8, 37] Operation: 93-56=37
Moving to Node #0,0
Current State: 12:[33, 8, 37], Operations: ['93-56=37']
Exploring Operation: 37-33=4, Resulting Numbers: [8, 4]
Generated Node #0,0,0: 12:[8, 4] Operation: 37-33=4
Moving to Node #0,0,0
Current State: 12:[8, 4], Operations: ['93-56=37', '37-33=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
39,
98,
21,
70
] | 37 | [
"70-21=49",
"98/49=2",
"39-2=37"
] | Current State: 37:[39, 98, 21, 70], Operations: []
Exploring Operation: 70-21=49, Resulting Numbers: [39, 98, 49]
Generated Node #2: [39, 98, 49] from Operation: 70-21=49
Current State: 37:[39, 98, 49], Operations: ['70-21=49']
Exploring Operation: 98/49=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 98/49=2
Current State: 37:[39, 2], Operations: ['70-21=49', '98/49=2']
Exploring Operation: 39-2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[39, 98, 21, 70], Operations: []
Exploring Operation: 98-39=59, Resulting Numbers: [21, 70, 59]
Generated Node #0,0: 37:[21, 70, 59] Operation: 98-39=59
Exploring Operation: 98-70=28, Resulting Numbers: [39, 21, 28]
Generated Node #0,1: 37:[39, 21, 28] Operation: 98-70=28
Moving to Node #0,1
Current State: 37:[39, 21, 28], Operations: ['98-70=28']
Exploring Operation: 21+28=49, Resulting Numbers: [39, 49]
Generated Node #0,1,0: 37:[39, 49] Operation: 21+28=49
Exploring Operation: 39-21=18, Resulting Numbers: [28, 18]
Generated Node #0,1,1: 37:[28, 18] Operation: 39-21=18
Moving to Node #0,0
Current State: 37:[21, 70, 59], Operations: ['98-39=59']
Exploring Operation: 70-21=49, Resulting Numbers: [59, 49]
Generated Node #0,0,0: 37:[59, 49] Operation: 70-21=49
Exploring Operation: 59-21=38, Resulting Numbers: [70, 38]
Generated Node #0,0,1: 37:[70, 38] Operation: 59-21=38
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 37:[59, 49], Operations: ['98-39=59', '70-21=49']
Exploring Operation: 59+49=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 59-49=10, Resulting Numbers: [10]
10,37 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 #0,0,1
Current State: 37:[70, 38], Operations: ['98-39=59', '59-21=38']
Exploring Operation: 70+38=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 70-38=32, Resulting Numbers: [32]
32,37 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: 37:[39, 49], Operations: ['98-70=28', '21+28=49']
Exploring Operation: 39+49=88, Resulting Numbers: [88]
88,37 unequal: No Solution
Exploring Operation: 49-39=10, Resulting Numbers: [10]
10,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[28, 18], Operations: ['98-70=28', '39-21=18']
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,37 unequal: No Solution
Exploring Operation: 28+18=46, Resulting Numbers: [46]
46,37 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
33,
60,
23,
8
] | 32 | [
"60-33=27",
"27-23=4",
"8*4=32"
] | Current State: 32:[33, 60, 23, 8], Operations: []
Exploring Operation: 60-33=27, Resulting Numbers: [23, 8, 27]
Generated Node #2: [23, 8, 27] from Operation: 60-33=27
Current State: 32:[23, 8, 27], Operations: ['60-33=27']
Exploring Operation: 27-23=4, Resulting Numbers: [8, 4]
Generated Node #3: [8, 4] from Operation: 27-23=4
Current State: 32:[8, 4], Operations: ['60-33=27', '27-23=4']
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[33, 60, 23, 8], Operations: []
Exploring Operation: 60-33=27, Resulting Numbers: [23, 8, 27]
Generated Node #0,0: 32:[23, 8, 27] Operation: 60-33=27
Exploring Operation: 60-23=37, Resulting Numbers: [33, 8, 37]
Generated Node #0,1: 32:[33, 8, 37] Operation: 60-23=37
Moving to Node #0,1
Current State: 32:[33, 8, 37], Operations: ['60-23=37']
Exploring Operation: 37-33=4, Resulting Numbers: [8, 4]
Generated Node #0,1,0: 32:[8, 4] Operation: 37-33=4
Exploring Operation: 37-8=29, Resulting Numbers: [33, 29]
Generated Node #0,1,1: 32:[33, 29] Operation: 37-8=29
Moving to Node #0,0
Current State: 32:[23, 8, 27], Operations: ['60-33=27']
Exploring Operation: 27-23=4, Resulting Numbers: [8, 4]
Generated Node #0,0,0: 32:[8, 4] Operation: 27-23=4
Exploring Operation: 23+8=31, Resulting Numbers: [27, 31]
Generated Node #0,0,1: 32:[27, 31] Operation: 23+8=31
Moving to Node #0,1,0
Current State: 32:[8, 4], Operations: ['60-23=37', '37-33=4']
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[33, 60, 23, 8], Operations: []
Exploring Operation: 60-23=37, Resulting Numbers: [33, 8, 37]
Generated Node #0,1: 32:[33, 8, 37] Operation: 60-23=37
Moving to Node #0,1
Current State: 32:[33, 8, 37], Operations: ['60-23=37']
Exploring Operation: 37-33=4, Resulting Numbers: [8, 4]
Generated Node #0,1,0: 32:[8, 4] Operation: 37-33=4
Moving to Node #0,1,0
Current State: 32:[8, 4], Operations: ['60-23=37', '37-33=4']
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 0.990451 | hs_2 | mult_heuristic |
[
59,
82,
39,
11
] | 73 | [
"82-59=23",
"39+11=50",
"23+50=73"
] | Current State: 73:[59, 82, 39, 11], Operations: []
Exploring Operation: 82-59=23, Resulting Numbers: [39, 11, 23]
Generated Node #2: [39, 11, 23] from Operation: 82-59=23
Current State: 73:[39, 11, 23], Operations: ['82-59=23']
Exploring Operation: 39+11=50, Resulting Numbers: [23, 50]
Generated Node #3: [23, 50] from Operation: 39+11=50
Current State: 73:[23, 50], Operations: ['82-59=23', '39+11=50']
Exploring Operation: 23+50=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[59, 82, 39, 11], Operations: []
Exploring Operation: 59+11=70, Resulting Numbers: [82, 39, 70]
Generated Node #0,0: 73:[82, 39, 70] Operation: 59+11=70
Moving to Node #0,0
Current State: 73:[82, 39, 70], Operations: ['59+11=70']
Exploring Operation: 82-39=43, Resulting Numbers: [70, 43]
Generated Node #0,0,0: 73:[70, 43] Operation: 82-39=43
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[70, 43], Operations: ['59+11=70', '82-39=43']
Exploring Operation: 70+43=113, Resulting Numbers: [113]
113,73 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 |
[
34,
79,
87,
54
] | 79 | [
"87-34=53",
"54-53=1",
"79*1=79"
] | Current State: 79:[34, 79, 87, 54], Operations: []
Exploring Operation: 87-34=53, Resulting Numbers: [79, 54, 53]
Generated Node #2: [79, 54, 53] from Operation: 87-34=53
Current State: 79:[79, 54, 53], Operations: ['87-34=53']
Exploring Operation: 54-53=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 54-53=1
Current State: 79:[79, 1], Operations: ['87-34=53', '54-53=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[34, 79, 87, 54], Operations: []
Exploring Operation: 87-34=53, Resulting Numbers: [79, 54, 53]
Generated Node #0,0: 79:[79, 54, 53] Operation: 87-34=53
Exploring Operation: 34+54=88, Resulting Numbers: [79, 87, 88]
Generated Node #0,1: 79:[79, 87, 88] Operation: 34+54=88
Exploring Operation: 34+87=121, Resulting Numbers: [79, 54, 121]
Generated Node #0,2: 79:[79, 54, 121] Operation: 34+87=121
Exploring Operation: 34+79=113, Resulting Numbers: [87, 54, 113]
Generated Node #0,3: 79:[87, 54, 113] Operation: 34+79=113
Exploring Operation: 79-34=45, Resulting Numbers: [87, 54, 45]
Generated Node #0,4: 79:[87, 54, 45] Operation: 79-34=45
Moving to Node #0,1
Current State: 79:[79, 87, 88], Operations: ['34+54=88']
Exploring Operation: 88-79=9, Resulting Numbers: [87, 9]
Generated Node #0,1,0: 79:[87, 9] Operation: 88-79=9
Exploring Operation: 79+88=167, Resulting Numbers: [87, 167]
Generated Node #0,1,1: 79:[87, 167] Operation: 79+88=167
Exploring Operation: 87-79=8, Resulting Numbers: [88, 8]
Generated Node #0,1,2: 79:[88, 8] Operation: 87-79=8
Exploring Operation: 88-87=1, Resulting Numbers: [79, 1]
Generated Node #0,1,3: 79:[79, 1] Operation: 88-87=1
Exploring Operation: 79+87=166, Resulting Numbers: [88, 166]
Generated Node #0,1,4: 79:[88, 166] Operation: 79+87=166
Moving to Node #0,0
Current State: 79:[79, 54, 53], Operations: ['87-34=53']
Exploring Operation: 79+53=132, Resulting Numbers: [54, 132]
Generated Node #0,0,0: 79:[54, 132] Operation: 79+53=132
Exploring Operation: 79+54=133, Resulting Numbers: [53, 133]
Generated Node #0,0,1: 79:[53, 133] Operation: 79+54=133
Exploring Operation: 54+53=107, Resulting Numbers: [79, 107]
Generated Node #0,0,2: 79:[79, 107] Operation: 54+53=107
Exploring Operation: 54-53=1, Resulting Numbers: [79, 1]
Generated Node #0,0,3: 79:[79, 1] Operation: 54-53=1
Exploring Operation: 79-53=26, Resulting Numbers: [54, 26]
Generated Node #0,0,4: 79:[54, 26] Operation: 79-53=26
Moving to Node #0,2
Current State: 79:[79, 54, 121], Operations: ['34+87=121']
Exploring Operation: 79+54=133, Resulting Numbers: [121, 133]
Generated Node #0,2,0: 79:[121, 133] Operation: 79+54=133
Exploring Operation: 121-79=42, Resulting Numbers: [54, 42]
Generated Node #0,2,1: 79:[54, 42] Operation: 121-79=42
Exploring Operation: 79-54=25, Resulting Numbers: [121, 25]
Generated Node #0,2,2: 79:[121, 25] Operation: 79-54=25
Exploring Operation: 121-54=67, Resulting Numbers: [79, 67]
Generated Node #0,2,3: 79:[79, 67] Operation: 121-54=67
Exploring Operation: 54+121=175, Resulting Numbers: [79, 175]
Generated Node #0,2,4: 79:[79, 175] Operation: 54+121=175
Moving to Node #0,3
Current State: 79:[87, 54, 113], Operations: ['34+79=113']
Exploring Operation: 113-54=59, Resulting Numbers: [87, 59]
Generated Node #0,3,0: 79:[87, 59] Operation: 113-54=59
Exploring Operation: 87+54=141, Resulting Numbers: [113, 141]
Generated Node #0,3,1: 79:[113, 141] Operation: 87+54=141
Exploring Operation: 54+113=167, Resulting Numbers: [87, 167]
Generated Node #0,3,2: 79:[87, 167] Operation: 54+113=167
Exploring Operation: 113-87=26, Resulting Numbers: [54, 26]
Generated Node #0,3,3: 79:[54, 26] Operation: 113-87=26
Exploring Operation: 87-54=33, Resulting Numbers: [113, 33]
Generated Node #0,3,4: 79:[113, 33] Operation: 87-54=33
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 79:[87, 59], Operations: ['34+79=113', '113-54=59']
Exploring Operation: 87-59=28, Resulting Numbers: [28]
28,79 unequal: No Solution
Exploring Operation: 87*59=5133, Resulting Numbers: [5133]
5133,79 unequal: No Solution
Exploring Operation: 87+59=146, Resulting Numbers: [146]
146,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 79:[54, 26], Operations: ['34+79=113', '113-87=26']
Exploring Operation: 54+26=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Exploring Operation: 54*26=1404, Resulting Numbers: [1404]
1404,79 unequal: No Solution
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 79:[113, 33], Operations: ['34+79=113', '87-54=33']
Exploring Operation: 113-33=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Exploring Operation: 113*33=3729, Resulting Numbers: [3729]
3729,79 unequal: No Solution
Exploring Operation: 113+33=146, Resulting Numbers: [146]
146,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 79:[113, 141], Operations: ['34+79=113', '87+54=141']
Exploring Operation: 113*141=15933, Resulting Numbers: [15933]
15933,79 unequal: No Solution
Exploring Operation: 113+141=254, Resulting Numbers: [254]
254,79 unequal: No Solution
Exploring Operation: 141-113=28, Resulting Numbers: [28]
28,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 79:[87, 167], Operations: ['34+79=113', '54+113=167']
Exploring Operation: 167-87=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Exploring Operation: 87+167=254, Resulting Numbers: [254]
254,79 unequal: No Solution
Exploring Operation: 87*167=14529, Resulting Numbers: [14529]
14529,79 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: 79:[87, 54, 45], Operations: ['79-34=45']
Exploring Operation: 54+45=99, Resulting Numbers: [87, 99]
Generated Node #0,4,0: 79:[87, 99] Operation: 54+45=99
Exploring Operation: 54-45=9, Resulting Numbers: [87, 9]
Generated Node #0,4,1: 79:[87, 9] Operation: 54-45=9
Exploring Operation: 87+45=132, Resulting Numbers: [54, 132]
Generated Node #0,4,2: 79:[54, 132] Operation: 87+45=132
Exploring Operation: 87-54=33, Resulting Numbers: [45, 33]
Generated Node #0,4,3: 79:[45, 33] Operation: 87-54=33
Exploring Operation: 87-45=42, Resulting Numbers: [54, 42]
Generated Node #0,4,4: 79:[54, 42] Operation: 87-45=42
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 79:[87, 99], Operations: ['79-34=45', '54+45=99']
Exploring Operation: 87+99=186, Resulting Numbers: [186]
186,79 unequal: No Solution
Exploring Operation: 87*99=8613, Resulting Numbers: [8613]
8613,79 unequal: No Solution
Exploring Operation: 99-87=12, Resulting Numbers: [12]
12,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 79:[54, 42], Operations: ['79-34=45', '87-45=42']
Exploring Operation: 54+42=96, Resulting Numbers: [96]
96,79 unequal: No Solution
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,79 unequal: No Solution
Exploring Operation: 54*42=2268, Resulting Numbers: [2268]
2268,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 79:[87, 9], Operations: ['79-34=45', '54-45=9']
Exploring Operation: 87+9=96, Resulting Numbers: [96]
96,79 unequal: No Solution
Exploring Operation: 87-9=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 87*9=783, Resulting Numbers: [783]
783,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 79:[54, 132], Operations: ['79-34=45', '87+45=132']
Exploring Operation: 132-54=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 54+132=186, Resulting Numbers: [186]
186,79 unequal: No Solution
Exploring Operation: 54*132=7128, Resulting Numbers: [7128]
7128,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 79:[45, 33], Operations: ['79-34=45', '87-54=33']
Exploring Operation: 45-33=12, Resulting Numbers: [12]
12,79 unequal: No Solution
Exploring Operation: 45+33=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 45*33=1485, Resulting Numbers: [1485]
1485,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 79:[79, 67], Operations: ['34+87=121', '121-54=67']
Exploring Operation: 79+67=146, Resulting Numbers: [146]
146,79 unequal: No Solution
Exploring Operation: 79*67=5293, Resulting Numbers: [5293]
5293,79 unequal: No Solution
Exploring Operation: 79-67=12, Resulting Numbers: [12]
12,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[79, 107], Operations: ['87-34=53', '54+53=107']
Exploring Operation: 79*107=8453, Resulting Numbers: [8453]
8453,79 unequal: No Solution
Exploring Operation: 107-79=28, Resulting Numbers: [28]
28,79 unequal: No Solution
Exploring Operation: 79+107=186, Resulting Numbers: [186]
186,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[54, 42], Operations: ['34+87=121', '121-79=42']
Exploring Operation: 54*42=2268, Resulting Numbers: [2268]
2268,79 unequal: No Solution
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,79 unequal: No Solution
Exploring Operation: 54+42=96, Resulting Numbers: [96]
96,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[54, 132], Operations: ['87-34=53', '79+53=132']
Exploring Operation: 54*132=7128, Resulting Numbers: [7128]
7128,79 unequal: No Solution
Exploring Operation: 54+132=186, Resulting Numbers: [186]
186,79 unequal: No Solution
Exploring Operation: 132-54=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[87, 9], Operations: ['34+54=88', '88-79=9']
Exploring Operation: 87+9=96, Resulting Numbers: [96]
96,79 unequal: No Solution
Exploring Operation: 87-9=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 87*9=783, Resulting Numbers: [783]
783,79 unequal: No Solution
Moving to Node #0,1,3
Current State: 79:[79, 1], Operations: ['34+54=88', '88-87=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[34, 79, 87, 54], Operations: []
Exploring Operation: 34+54=88, Resulting Numbers: [79, 87, 88]
Generated Node #0,1: 79:[79, 87, 88] Operation: 34+54=88
Moving to Node #0,1
Current State: 79:[79, 87, 88], Operations: ['34+54=88']
Exploring Operation: 88-87=1, Resulting Numbers: [79, 1]
Generated Node #0,1,3: 79:[79, 1] Operation: 88-87=1
Moving to Node #0,1,3
Current State: 79:[79, 1], Operations: ['34+54=88', '88-87=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 0.930556 | hs_5 | mult_heuristic |
[
61,
44,
84,
20
] | 25 | [
"61+44=105",
"20*105=2100",
"2100/84=25"
] | Current State: 25:[61, 44, 84, 20], Operations: []
Exploring Operation: 61+44=105, Resulting Numbers: [84, 20, 105]
Generated Node #2: [84, 20, 105] from Operation: 61+44=105
Current State: 25:[84, 20, 105], Operations: ['61+44=105']
Exploring Operation: 20*105=2100, Resulting Numbers: [84, 2100]
Generated Node #3: [84, 2100] from Operation: 20*105=2100
Current State: 25:[84, 2100], Operations: ['61+44=105', '20*105=2100']
Exploring Operation: 2100/84=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[61, 44, 84, 20], Operations: []
Exploring Operation: 61-20=41, Resulting Numbers: [44, 84, 41]
Generated Node #0,0: 25:[44, 84, 41] Operation: 61-20=41
Exploring Operation: 84-20=64, Resulting Numbers: [61, 44, 64]
Generated Node #0,1: 25:[61, 44, 64] Operation: 84-20=64
Exploring Operation: 84-61=23, Resulting Numbers: [44, 20, 23]
Generated Node #0,2: 25:[44, 20, 23] Operation: 84-61=23
Exploring Operation: 84-44=40, Resulting Numbers: [61, 20, 40]
Generated Node #0,3: 25:[61, 20, 40] Operation: 84-44=40
Exploring Operation: 61-44=17, Resulting Numbers: [84, 20, 17]
Generated Node #0,4: 25:[84, 20, 17] Operation: 61-44=17
Moving to Node #0,2
Current State: 25:[44, 20, 23], Operations: ['84-61=23']
Exploring Operation: 23-20=3, Resulting Numbers: [44, 3]
Generated Node #0,2,0: 25:[44, 3] Operation: 23-20=3
Exploring Operation: 44-23=21, Resulting Numbers: [20, 21]
Generated Node #0,2,1: 25:[20, 21] Operation: 44-23=21
Exploring Operation: 44-20=24, Resulting Numbers: [23, 24]
Generated Node #0,2,2: 25:[23, 24] Operation: 44-20=24
Exploring Operation: 44+20=64, Resulting Numbers: [23, 64]
Generated Node #0,2,3: 25:[23, 64] Operation: 44+20=64
Exploring Operation: 20+23=43, Resulting Numbers: [44, 43]
Generated Node #0,2,4: 25:[44, 43] Operation: 20+23=43
Moving to Node #0,3
Current State: 25:[61, 20, 40], Operations: ['84-44=40']
Exploring Operation: 61+20=81, Resulting Numbers: [40, 81]
Generated Node #0,3,0: 25:[40, 81] Operation: 61+20=81
Exploring Operation: 61-20=41, Resulting Numbers: [40, 41]
Generated Node #0,3,1: 25:[40, 41] Operation: 61-20=41
Exploring Operation: 40/20=2, Resulting Numbers: [61, 2]
Generated Node #0,3,2: 25:[61, 2] Operation: 40/20=2
Exploring Operation: 40-20=20, Resulting Numbers: [61, 20]
Generated Node #0,3,3: 25:[61, 20] Operation: 40-20=20
Exploring Operation: 61-40=21, Resulting Numbers: [20, 21]
Generated Node #0,3,4: 25:[20, 21] Operation: 61-40=21
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 25:[20, 21], Operations: ['84-44=40', '61-40=21']
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,25 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,25 unequal: No Solution
No 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: 25:[40, 41], Operations: ['84-44=40', '61-20=41']
Exploring Operation: 41-40=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 40+41=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Exploring Operation: 40*41=1640, Resulting Numbers: [1640]
1640,25 unequal: No Solution
No 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: 25:[61, 2], Operations: ['84-44=40', '40/20=2']
Exploring Operation: 61+2=63, Resulting Numbers: [63]
63,25 unequal: No Solution
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Exploring Operation: 61*2=122, Resulting Numbers: [122]
122,25 unequal: No Solution
No 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: 25:[61, 20], Operations: ['84-44=40', '40-20=20']
Exploring Operation: 61+20=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,25 unequal: No Solution
Exploring Operation: 61*20=1220, Resulting Numbers: [1220]
1220,25 unequal: No Solution
No 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: 25:[40, 81], Operations: ['84-44=40', '61+20=81']
Exploring Operation: 40*81=3240, Resulting Numbers: [3240]
3240,25 unequal: No Solution
Exploring Operation: 40+81=121, Resulting Numbers: [121]
121,25 unequal: No Solution
Exploring Operation: 81-40=41, Resulting Numbers: [41]
41,25 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: 25:[84, 20, 17], Operations: ['61-44=17']
Exploring Operation: 20-17=3, Resulting Numbers: [84, 3]
Generated Node #0,4,0: 25:[84, 3] Operation: 20-17=3
Exploring Operation: 84-20=64, Resulting Numbers: [17, 64]
Generated Node #0,4,1: 25:[17, 64] Operation: 84-20=64
Exploring Operation: 84-17=67, Resulting Numbers: [20, 67]
Generated Node #0,4,2: 25:[20, 67] Operation: 84-17=67
Exploring Operation: 84+17=101, Resulting Numbers: [20, 101]
Generated Node #0,4,3: 25:[20, 101] Operation: 84+17=101
Exploring Operation: 20+17=37, Resulting Numbers: [84, 37]
Generated Node #0,4,4: 25:[84, 37] Operation: 20+17=37
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 25:[17, 64], Operations: ['61-44=17', '84-20=64']
Exploring Operation: 17+64=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Exploring Operation: 64-17=47, Resulting Numbers: [47]
47,25 unequal: No Solution
Exploring Operation: 17*64=1088, Resulting Numbers: [1088]
1088,25 unequal: No Solution
No 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: 25:[20, 67], Operations: ['61-44=17', '84-17=67']
Exploring Operation: 20+67=87, Resulting Numbers: [87]
87,25 unequal: No Solution
Exploring Operation: 67-20=47, Resulting Numbers: [47]
47,25 unequal: No Solution
Exploring Operation: 20*67=1340, Resulting Numbers: [1340]
1340,25 unequal: No Solution
No 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: 25:[84, 3], Operations: ['61-44=17', '20-17=3']
Exploring Operation: 84*3=252, Resulting Numbers: [252]
252,25 unequal: No Solution
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,25 unequal: No Solution
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,25 unequal: No Solution
No 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: 25:[84, 37], Operations: ['61-44=17', '20+17=37']
Exploring Operation: 84-37=47, Resulting Numbers: [47]
47,25 unequal: No Solution
Exploring Operation: 84*37=3108, Resulting Numbers: [3108]
3108,25 unequal: No Solution
Exploring Operation: 84+37=121, Resulting Numbers: [121]
121,25 unequal: No Solution
No 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: 25:[20, 101], Operations: ['61-44=17', '84+17=101']
Exploring Operation: 20*101=2020, Resulting Numbers: [2020]
2020,25 unequal: No Solution
Exploring Operation: 20+101=121, Resulting Numbers: [121]
121,25 unequal: No Solution
Exploring Operation: 101-20=81, Resulting Numbers: [81]
81,25 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: 25:[44, 84, 41], Operations: ['61-20=41']
Exploring Operation: 84-44=40, Resulting Numbers: [41, 40]
Generated Node #0,0,0: 25:[41, 40] Operation: 84-44=40
Exploring Operation: 44+41=85, Resulting Numbers: [84, 85]
Generated Node #0,0,1: 25:[84, 85] Operation: 44+41=85
Exploring Operation: 44-41=3, Resulting Numbers: [84, 3]
Generated Node #0,0,2: 25:[84, 3] Operation: 44-41=3
Exploring Operation: 84-41=43, Resulting Numbers: [44, 43]
Generated Node #0,0,3: 25:[44, 43] Operation: 84-41=43
Exploring Operation: 44+84=128, Resulting Numbers: [41, 128]
Generated Node #0,0,4: 25:[41, 128] Operation: 44+84=128
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 25:[41, 40], Operations: ['61-20=41', '84-44=40']
Exploring Operation: 41-40=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 41+40=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Exploring Operation: 41*40=1640, Resulting Numbers: [1640]
1640,25 unequal: No Solution
No 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: 25:[44, 43], Operations: ['61-20=41', '84-41=43']
Exploring Operation: 44*43=1892, Resulting Numbers: [1892]
1892,25 unequal: No Solution
Exploring Operation: 44+43=87, Resulting Numbers: [87]
87,25 unequal: No Solution
Exploring Operation: 44-43=1, Resulting Numbers: [1]
1,25 unequal: No Solution
No 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: 25:[84, 3], Operations: ['61-20=41', '44-41=3']
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,25 unequal: No Solution
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Exploring Operation: 84*3=252, Resulting Numbers: [252]
252,25 unequal: No Solution
No 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: 25:[84, 85], Operations: ['61-20=41', '44+41=85']
Exploring Operation: 84+85=169, Resulting Numbers: [169]
169,25 unequal: No Solution
Exploring Operation: 84*85=7140, Resulting Numbers: [7140]
7140,25 unequal: No Solution
Exploring Operation: 85-84=1, Resulting Numbers: [1]
1,25 unequal: No Solution
No 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: 25:[41, 128], Operations: ['61-20=41', '44+84=128']
Exploring Operation: 41*128=5248, Resulting Numbers: [5248]
5248,25 unequal: No Solution
Exploring Operation: 41+128=169, Resulting Numbers: [169]
169,25 unequal: No Solution
Exploring Operation: 128-41=87, Resulting Numbers: [87]
87,25 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: 25:[61, 44, 64], Operations: ['84-20=64']
Exploring Operation: 61-44=17, Resulting Numbers: [64, 17]
Generated Node #0,1,0: 25:[64, 17] Operation: 61-44=17
Exploring Operation: 61+64=125, Resulting Numbers: [44, 125]
Generated Node #0,1,1: 25:[44, 125] Operation: 61+64=125
Exploring Operation: 61+44=105, Resulting Numbers: [64, 105]
Generated Node #0,1,2: 25:[64, 105] Operation: 61+44=105
Exploring Operation: 64-61=3, Resulting Numbers: [44, 3]
Generated Node #0,1,3: 25:[44, 3] Operation: 64-61=3
Exploring Operation: 64-44=20, Resulting Numbers: [61, 20]
Generated Node #0,1,4: 25:[61, 20] Operation: 64-44=20
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 25:[44, 3], Operations: ['84-20=64', '64-61=3']
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,25 unequal: No Solution
Exploring Operation: 44*3=132, Resulting Numbers: [132]
132,25 unequal: No Solution
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,25 unequal: No Solution
No solution 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: 25:[61, 20], Operations: ['84-20=64', '64-44=20']
Exploring Operation: 61-20=41, Resulting Numbers: [41]
41,25 unequal: No Solution
Exploring Operation: 61+20=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Exploring Operation: 61*20=1220, Resulting Numbers: [1220]
1220,25 unequal: No Solution
No solution 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: 25:[64, 17], Operations: ['84-20=64', '61-44=17']
Exploring Operation: 64+17=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Exploring Operation: 64-17=47, Resulting Numbers: [47]
47,25 unequal: No Solution
Exploring Operation: 64*17=1088, Resulting Numbers: [1088]
1088,25 unequal: No Solution
No solution 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: 25:[44, 125], Operations: ['84-20=64', '61+64=125']
Exploring Operation: 125-44=81, Resulting Numbers: [81]
81,25 unequal: No Solution
Exploring Operation: 44*125=5500, Resulting Numbers: [5500]
5500,25 unequal: No Solution
Exploring Operation: 44+125=169, Resulting Numbers: [169]
169,25 unequal: No Solution
No solution 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: 25:[64, 105], Operations: ['84-20=64', '61+44=105']
Exploring Operation: 64*105=6720, Resulting Numbers: [6720]
6720,25 unequal: No Solution
Exploring Operation: 64+105=169, Resulting Numbers: [169]
169,25 unequal: No Solution
Exploring Operation: 105-64=41, Resulting Numbers: [41]
41,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 25:[23, 24], Operations: ['84-61=23', '44-20=24']
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,25 unequal: No Solution
Exploring Operation: 23*24=552, Resulting Numbers: [552]
552,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[20, 21], Operations: ['84-61=23', '44-23=21']
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,25 unequal: No Solution
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,25 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[44, 3], Operations: ['84-61=23', '23-20=3']
Exploring Operation: 44-3=41, Resulting Numbers: [41]
41,25 unequal: No Solution
Exploring Operation: 44*3=132, Resulting Numbers: [132]
132,25 unequal: No Solution
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,25 unequal: No Solution
Moving to Node #0,2,4
Current State: 25:[44, 43], Operations: ['84-61=23', '20+23=43']
Exploring Operation: 44*43=1892, Resulting Numbers: [1892]
1892,25 unequal: No Solution
Exploring Operation: 44-43=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 44+43=87, Resulting Numbers: [87]
87,25 unequal: No Solution
Moving to Node #0,2,3
Current State: 25:[23, 64], Operations: ['84-61=23', '44+20=64']
Exploring Operation: 64-23=41, Resulting Numbers: [41]
41,25 unequal: No Solution
Exploring Operation: 23+64=87, Resulting Numbers: [87]
87,25 unequal: No Solution
Exploring Operation: 23*64=1472, Resulting Numbers: [1472]
1472,25 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
89,
2,
38,
25
] | 77 | [
"89+38=127",
"2*25=50",
"127-50=77"
] | Current State: 77:[89, 2, 38, 25], Operations: []
Exploring Operation: 89+38=127, Resulting Numbers: [2, 25, 127]
Generated Node #2: [2, 25, 127] from Operation: 89+38=127
Current State: 77:[2, 25, 127], Operations: ['89+38=127']
Exploring Operation: 2*25=50, Resulting Numbers: [127, 50]
Generated Node #3: [127, 50] from Operation: 2*25=50
Current State: 77:[127, 50], Operations: ['89+38=127', '2*25=50']
Exploring Operation: 127-50=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[89, 2, 38, 25], Operations: []
Exploring Operation: 38-25=13, Resulting Numbers: [89, 2, 13]
Generated Node #0,0: 77:[89, 2, 13] Operation: 38-25=13
Exploring Operation: 38+25=63, Resulting Numbers: [89, 2, 63]
Generated Node #0,1: 77:[89, 2, 63] Operation: 38+25=63
Exploring Operation: 38/2=19, Resulting Numbers: [89, 25, 19]
Generated Node #0,2: 77:[89, 25, 19] Operation: 38/2=19
Exploring Operation: 2*38=76, Resulting Numbers: [89, 25, 76]
Generated Node #0,3: 77:[89, 25, 76] Operation: 2*38=76
Moving to Node #0,0
Current State: 77:[89, 2, 13], Operations: ['38-25=13']
Exploring Operation: 89+2=91, Resulting Numbers: [13, 91]
Generated Node #0,0,0: 77:[13, 91] Operation: 89+2=91
Exploring Operation: 13-2=11, Resulting Numbers: [89, 11]
Generated Node #0,0,1: 77:[89, 11] Operation: 13-2=11
Exploring Operation: 89-13=76, Resulting Numbers: [2, 76]
Generated Node #0,0,2: 77:[2, 76] Operation: 89-13=76
Exploring Operation: 89-2=87, Resulting Numbers: [13, 87]
Generated Node #0,0,3: 77:[13, 87] Operation: 89-2=87
Moving to Node #0,3
Current State: 77:[89, 25, 76], Operations: ['2*38=76']
Exploring Operation: 89-76=13, Resulting Numbers: [25, 13]
Generated Node #0,3,0: 77:[25, 13] Operation: 89-76=13
Exploring Operation: 25+76=101, Resulting Numbers: [89, 101]
Generated Node #0,3,1: 77:[89, 101] Operation: 25+76=101
Exploring Operation: 89-25=64, Resulting Numbers: [76, 64]
Generated Node #0,3,2: 77:[76, 64] Operation: 89-25=64
Exploring Operation: 89+25=114, Resulting Numbers: [76, 114]
Generated Node #0,3,3: 77:[76, 114] Operation: 89+25=114
Moving to Node #0,1
Current State: 77:[89, 2, 63], Operations: ['38+25=63']
Exploring Operation: 89-2=87, Resulting Numbers: [63, 87]
Generated Node #0,1,0: 77:[63, 87] Operation: 89-2=87
Exploring Operation: 89-63=26, Resulting Numbers: [2, 26]
Generated Node #0,1,1: 77:[2, 26] Operation: 89-63=26
Exploring Operation: 2+63=65, Resulting Numbers: [89, 65]
Generated Node #0,1,2: 77:[89, 65] Operation: 2+63=65
Exploring Operation: 89+2=91, Resulting Numbers: [63, 91]
Generated Node #0,1,3: 77:[63, 91] Operation: 89+2=91
Moving to Node #0,2
Current State: 77:[89, 25, 19], Operations: ['38/2=19']
Exploring Operation: 89+25=114, Resulting Numbers: [19, 114]
Generated Node #0,2,0: 77:[19, 114] Operation: 89+25=114
Exploring Operation: 25-19=6, Resulting Numbers: [89, 6]
Generated Node #0,2,1: 77:[89, 6] Operation: 25-19=6
Exploring Operation: 89-25=64, Resulting Numbers: [19, 64]
Generated Node #0,2,2: 77:[19, 64] Operation: 89-25=64
Exploring Operation: 89-19=70, Resulting Numbers: [25, 70]
Generated Node #0,2,3: 77:[25, 70] Operation: 89-19=70
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 77:[89, 6], Operations: ['38/2=19', '25-19=6']
Exploring Operation: 89*6=534, Resulting Numbers: [534]
534,77 unequal: No Solution
Exploring Operation: 89+6=95, Resulting Numbers: [95]
95,77 unequal: No Solution
Exploring Operation: 89-6=83, Resulting Numbers: [83]
83,77 unequal: No Solution
No 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: 77:[19, 64], Operations: ['38/2=19', '89-25=64']
Exploring Operation: 19+64=83, Resulting Numbers: [83]
83,77 unequal: No Solution
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,77 unequal: No Solution
Exploring Operation: 19*64=1216, Resulting Numbers: [1216]
1216,77 unequal: No Solution
No 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: 77:[25, 70], Operations: ['38/2=19', '89-19=70']
Exploring Operation: 70-25=45, Resulting Numbers: [45]
45,77 unequal: No Solution
Exploring Operation: 25*70=1750, Resulting Numbers: [1750]
1750,77 unequal: No Solution
Exploring Operation: 25+70=95, Resulting Numbers: [95]
95,77 unequal: No Solution
No 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: 77:[19, 114], Operations: ['38/2=19', '89+25=114']
Exploring Operation: 114-19=95, Resulting Numbers: [95]
95,77 unequal: No Solution
Exploring Operation: 19*114=2166, Resulting Numbers: [2166]
2166,77 unequal: No Solution
Exploring Operation: 19+114=133, Resulting Numbers: [133]
133,77 unequal: No Solution
Exploring Operation: 114/19=6, Resulting Numbers: [6]
6,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 77:[2, 76], Operations: ['38-25=13', '89-13=76']
Exploring Operation: 2*76=152, Resulting Numbers: [152]
152,77 unequal: No Solution
Exploring Operation: 2+76=78, Resulting Numbers: [78]
78,77 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,77 unequal: No Solution
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Moving to Node #0,0,3
Current State: 77:[13, 87], Operations: ['38-25=13', '89-2=87']
Exploring Operation: 87-13=74, Resulting Numbers: [74]
74,77 unequal: No Solution
Exploring Operation: 13+87=100, Resulting Numbers: [100]
100,77 unequal: No Solution
Exploring Operation: 13*87=1131, Resulting Numbers: [1131]
1131,77 unequal: No Solution
Moving to Node #0,0,1
Current State: 77:[89, 11], Operations: ['38-25=13', '13-2=11']
Exploring Operation: 89-11=78, Resulting Numbers: [78]
78,77 unequal: No Solution
Exploring Operation: 89*11=979, Resulting Numbers: [979]
979,77 unequal: No Solution
Exploring Operation: 89+11=100, Resulting Numbers: [100]
100,77 unequal: No Solution
Moving to Node #0,3,2
Current State: 77:[76, 64], Operations: ['2*38=76', '89-25=64']
Exploring Operation: 76-64=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 76*64=4864, Resulting Numbers: [4864]
4864,77 unequal: No Solution
Exploring Operation: 76+64=140, Resulting Numbers: [140]
140,77 unequal: No Solution
Moving to Node #0,3,0
Current State: 77:[25, 13], Operations: ['2*38=76', '89-76=13']
Exploring Operation: 25*13=325, Resulting Numbers: [325]
325,77 unequal: No Solution
Exploring Operation: 25+13=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[13, 91], Operations: ['38-25=13', '89+2=91']
Exploring Operation: 13*91=1183, Resulting Numbers: [1183]
1183,77 unequal: No Solution
Exploring Operation: 91/13=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Exploring Operation: 13+91=104, Resulting Numbers: [104]
104,77 unequal: No Solution
Exploring Operation: 91-13=78, Resulting Numbers: [78]
78,77 unequal: No Solution
Moving to Node #0,1,1
Current State: 77:[2, 26], Operations: ['38+25=63', '89-63=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,77 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,77 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,77 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,77 unequal: No Solution
Moving to Node #0,1,2
Current State: 77:[89, 65], Operations: ['38+25=63', '2+63=65']
Exploring Operation: 89*65=5785, Resulting Numbers: [5785]
5785,77 unequal: No Solution
Exploring Operation: 89+65=154, Resulting Numbers: [154]
154,77 unequal: No Solution
Exploring Operation: 89-65=24, Resulting Numbers: [24]
24,77 unequal: No Solution
Moving to Node #0,1,0
Current State: 77:[63, 87], Operations: ['38+25=63', '89-2=87']
Exploring Operation: 87-63=24, Resulting Numbers: [24]
24,77 unequal: No Solution
Exploring Operation: 63+87=150, Resulting Numbers: [150]
150,77 unequal: No Solution
Exploring Operation: 63*87=5481, Resulting Numbers: [5481]
5481,77 unequal: No Solution
Moving to Node #0,1,3
Current State: 77:[63, 91], Operations: ['38+25=63', '89+2=91']
Exploring Operation: 63*91=5733, Resulting Numbers: [5733]
5733,77 unequal: No Solution
Exploring Operation: 91-63=28, Resulting Numbers: [28]
28,77 unequal: No Solution
Exploring Operation: 63+91=154, Resulting Numbers: [154]
154,77 unequal: No Solution
Moving to Node #0,3,1
Current State: 77:[89, 101], Operations: ['2*38=76', '25+76=101']
Exploring Operation: 101-89=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 89*101=8989, Resulting Numbers: [8989]
8989,77 unequal: No Solution
Exploring Operation: 89+101=190, Resulting Numbers: [190]
190,77 unequal: No Solution
Moving to Node #0,3,3
Current State: 77:[76, 114], Operations: ['2*38=76', '89+25=114']
Exploring Operation: 76*114=8664, Resulting Numbers: [8664]
8664,77 unequal: No Solution
Exploring Operation: 114-76=38, Resulting Numbers: [38]
38,77 unequal: No Solution
Exploring Operation: 76+114=190, Resulting Numbers: [190]
190,77 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
35,
81,
78,
8
] | 30 | [
"35+81=116",
"78+8=86",
"116-86=30"
] | Current State: 30:[35, 81, 78, 8], Operations: []
Exploring Operation: 35+81=116, Resulting Numbers: [78, 8, 116]
Generated Node #2: [78, 8, 116] from Operation: 35+81=116
Current State: 30:[78, 8, 116], Operations: ['35+81=116']
Exploring Operation: 78+8=86, Resulting Numbers: [116, 86]
Generated Node #3: [116, 86] from Operation: 78+8=86
Current State: 30:[116, 86], Operations: ['35+81=116', '78+8=86']
Exploring Operation: 116-86=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[35, 81, 78, 8], Operations: []
Exploring Operation: 78-8=70, Resulting Numbers: [35, 81, 70]
Generated Node #0,0: 30:[35, 81, 70] Operation: 78-8=70
Exploring Operation: 81-8=73, Resulting Numbers: [35, 78, 73]
Generated Node #0,1: 30:[35, 78, 73] Operation: 81-8=73
Exploring Operation: 81-78=3, Resulting Numbers: [35, 8, 3]
Generated Node #0,2: 30:[35, 8, 3] Operation: 81-78=3
Exploring Operation: 81-35=46, Resulting Numbers: [78, 8, 46]
Generated Node #0,3: 30:[78, 8, 46] Operation: 81-35=46
Exploring Operation: 78-35=43, Resulting Numbers: [81, 8, 43]
Generated Node #0,4: 30:[81, 8, 43] Operation: 78-35=43
Start Sub Search at level 1: Moving to Node #0,2
Current State: 30:[35, 8, 3], Operations: ['81-78=3']
Exploring Operation: 35-3=32, Resulting Numbers: [8, 32]
Generated Node #0,2,0: 30:[8, 32] Operation: 35-3=32
Exploring Operation: 35+3=38, Resulting Numbers: [8, 38]
Generated Node #0,2,1: 30:[8, 38] Operation: 35+3=38
Exploring Operation: 8+3=11, Resulting Numbers: [35, 11]
Generated Node #0,2,2: 30:[35, 11] Operation: 8+3=11
Exploring Operation: 8-3=5, Resulting Numbers: [35, 5]
Generated Node #0,2,3: 30:[35, 5] Operation: 8-3=5
Exploring Operation: 35-8=27, Resulting Numbers: [3, 27]
Generated Node #0,2,4: 30:[3, 27] Operation: 35-8=27
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 30:[3, 27], Operations: ['81-78=3', '35-8=27']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[35, 81, 78, 8], Operations: []
Exploring Operation: 81-78=3, Resulting Numbers: [35, 8, 3]
Generated Node #0,2: 30:[35, 8, 3] Operation: 81-78=3
Moving to Node #0,2
Current State: 30:[35, 8, 3], Operations: ['81-78=3']
Exploring Operation: 35-8=27, Resulting Numbers: [3, 27]
Generated Node #0,2,4: 30:[3, 27] Operation: 35-8=27
Moving to Node #0,2,4
Current State: 30:[3, 27], Operations: ['81-78=3', '35-8=27']
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
27,
35,
62,
12
] | 93 | [
"35-27=8",
"62*12=744",
"744/8=93"
] | Current State: 93:[27, 35, 62, 12], Operations: []
Exploring Operation: 35-27=8, Resulting Numbers: [62, 12, 8]
Generated Node #2: [62, 12, 8] from Operation: 35-27=8
Current State: 93:[62, 12, 8], Operations: ['35-27=8']
Exploring Operation: 62*12=744, Resulting Numbers: [8, 744]
Generated Node #3: [8, 744] from Operation: 62*12=744
Current State: 93:[8, 744], Operations: ['35-27=8', '62*12=744']
Exploring Operation: 744/8=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[27, 35, 62, 12], Operations: []
Exploring Operation: 35+62=97, Resulting Numbers: [27, 12, 97]
Generated Node #0,0: 93:[27, 12, 97] Operation: 35+62=97
Exploring Operation: 62+12=74, Resulting Numbers: [27, 35, 74]
Generated Node #0,1: 93:[27, 35, 74] Operation: 62+12=74
Exploring Operation: 62-27=35, Resulting Numbers: [35, 12, 35]
Generated Node #0,2: 93:[35, 12, 35] Operation: 62-27=35
Exploring Operation: 27+62=89, Resulting Numbers: [35, 12, 89]
Generated Node #0,3: 93:[35, 12, 89] Operation: 27+62=89
Exploring Operation: 62-35=27, Resulting Numbers: [27, 12, 27]
Generated Node #0,4: 93:[27, 12, 27] Operation: 62-35=27
Moving to Node #0,0
Current State: 93:[27, 12, 97], Operations: ['35+62=97']
Exploring Operation: 97-27=70, Resulting Numbers: [12, 70]
Generated Node #0,0,0: 93:[12, 70] Operation: 97-27=70
Exploring Operation: 27-12=15, Resulting Numbers: [97, 15]
Generated Node #0,0,1: 93:[97, 15] Operation: 27-12=15
Exploring Operation: 27+12=39, Resulting Numbers: [97, 39]
Generated Node #0,0,2: 93:[97, 39] Operation: 27+12=39
Exploring Operation: 97-12=85, Resulting Numbers: [27, 85]
Generated Node #0,0,3: 93:[27, 85] Operation: 97-12=85
Exploring Operation: 12+97=109, Resulting Numbers: [27, 109]
Generated Node #0,0,4: 93:[27, 109] Operation: 12+97=109
Moving to Node #0,3
Current State: 93:[35, 12, 89], Operations: ['27+62=89']
Exploring Operation: 35-12=23, Resulting Numbers: [89, 23]
Generated Node #0,3,0: 93:[89, 23] Operation: 35-12=23
Exploring Operation: 35+12=47, Resulting Numbers: [89, 47]
Generated Node #0,3,1: 93:[89, 47] Operation: 35+12=47
Exploring Operation: 12+89=101, Resulting Numbers: [35, 101]
Generated Node #0,3,2: 93:[35, 101] Operation: 12+89=101
Exploring Operation: 89-12=77, Resulting Numbers: [35, 77]
Generated Node #0,3,3: 93:[35, 77] Operation: 89-12=77
Exploring Operation: 89-35=54, Resulting Numbers: [12, 54]
Generated Node #0,3,4: 93:[12, 54] Operation: 89-35=54
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 93:[89, 23], Operations: ['27+62=89', '35-12=23']
Exploring Operation: 89*23=2047, Resulting Numbers: [2047]
2047,93 unequal: No Solution
Exploring Operation: 89+23=112, Resulting Numbers: [112]
112,93 unequal: No Solution
Exploring Operation: 89-23=66, Resulting Numbers: [66]
66,93 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 #0,3,2
Current State: 93:[35, 101], Operations: ['27+62=89', '12+89=101']
Exploring Operation: 35*101=3535, Resulting Numbers: [3535]
3535,93 unequal: No Solution
Exploring Operation: 101-35=66, Resulting Numbers: [66]
66,93 unequal: No Solution
Exploring Operation: 35+101=136, Resulting Numbers: [136]
136,93 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 #0,3,1
Current State: 93:[89, 47], Operations: ['27+62=89', '35+12=47']
Exploring Operation: 89*47=4183, Resulting Numbers: [4183]
4183,93 unequal: No Solution
Exploring Operation: 89+47=136, Resulting Numbers: [136]
136,93 unequal: No Solution
Exploring Operation: 89-47=42, Resulting Numbers: [42]
42,93 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 #0,3,3
Current State: 93:[35, 77], Operations: ['27+62=89', '89-12=77']
Exploring Operation: 35+77=112, Resulting Numbers: [112]
112,93 unequal: No Solution
Exploring Operation: 77-35=42, Resulting Numbers: [42]
42,93 unequal: No Solution
Exploring Operation: 35*77=2695, Resulting Numbers: [2695]
2695,93 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 #0,3,4
Current State: 93:[12, 54], Operations: ['27+62=89', '89-35=54']
Exploring Operation: 54-12=42, Resulting Numbers: [42]
42,93 unequal: No Solution
Exploring Operation: 12*54=648, Resulting Numbers: [648]
648,93 unequal: No Solution
Exploring Operation: 12+54=66, Resulting Numbers: [66]
66,93 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: 93:[35, 12, 35], Operations: ['62-27=35']
Exploring Operation: 35-12=23, Resulting Numbers: [35, 23]
Generated Node #0,2,0: 93:[35, 23] Operation: 35-12=23
Exploring Operation: 35+12=47, Resulting Numbers: [35, 47]
Generated Node #0,2,1: 93:[35, 47] Operation: 35+12=47
Exploring Operation: 35-35=0, Resulting Numbers: [12, 0]
Generated Node #0,2,2: 93:[12, 0] Operation: 35-35=0
Exploring Operation: 35/35=1, Resulting Numbers: [12, 1]
Generated Node #0,2,3: 93:[12, 1] Operation: 35/35=1
Exploring Operation: 35-12=23, Resulting Numbers: [35, 23]
Generated Node #0,2,4: 93:[35, 23] Operation: 35-12=23
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 93:[12, 1], Operations: ['62-27=35', '35/35=1']
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,93 unequal: No Solution
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 93:[35, 23], Operations: ['62-27=35', '35-12=23']
Exploring Operation: 35-23=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Exploring Operation: 35*23=805, Resulting Numbers: [805]
805,93 unequal: No Solution
Exploring Operation: 35+23=58, Resulting Numbers: [58]
58,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 93:[12, 0], Operations: ['62-27=35', '35-35=0']
Exploring Operation: 12+0=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Exploring Operation: 12*0=0, Resulting Numbers: [0]
0,93 unequal: No Solution
Exploring Operation: 12-0=12, Resulting Numbers: [12]
12,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 93:[35, 23], Operations: ['62-27=35', '35-12=23']
Exploring Operation: 35-23=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Exploring Operation: 35+23=58, Resulting Numbers: [58]
58,93 unequal: No Solution
Exploring Operation: 35*23=805, Resulting Numbers: [805]
805,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 93:[35, 47], Operations: ['62-27=35', '35+12=47']
Exploring Operation: 35*47=1645, Resulting Numbers: [1645]
1645,93 unequal: No Solution
Exploring Operation: 35+47=82, Resulting Numbers: [82]
82,93 unequal: No Solution
Exploring Operation: 47-35=12, Resulting Numbers: [12]
12,93 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: 93:[27, 12, 27], Operations: ['62-35=27']
Exploring Operation: 27+12=39, Resulting Numbers: [27, 39]
Generated Node #0,4,0: 93:[27, 39] Operation: 27+12=39
Exploring Operation: 27/27=1, Resulting Numbers: [12, 1]
Generated Node #0,4,1: 93:[12, 1] Operation: 27/27=1
Exploring Operation: 27-27=0, Resulting Numbers: [12, 0]
Generated Node #0,4,2: 93:[12, 0] Operation: 27-27=0
Exploring Operation: 27-12=15, Resulting Numbers: [27, 15]
Generated Node #0,4,3: 93:[27, 15] Operation: 27-12=15
Exploring Operation: 12+27=39, Resulting Numbers: [27, 39]
Generated Node #0,4,4: 93:[27, 39] Operation: 12+27=39
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 93:[12, 1], Operations: ['62-35=27', '27/27=1']
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Exploring Operation: 12+1=13, Resulting Numbers: [13]
13,93 unequal: No Solution
Exploring Operation: 12/1=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,93 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 #0,4,0
Current State: 93:[27, 39], Operations: ['62-35=27', '27+12=39']
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Exploring Operation: 27+39=66, Resulting Numbers: [66]
66,93 unequal: No Solution
Exploring Operation: 27*39=1053, Resulting Numbers: [1053]
1053,93 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 #0,4,2
Current State: 93:[12, 0], Operations: ['62-35=27', '27-27=0']
Exploring Operation: 12+0=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Exploring Operation: 12-0=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Exploring Operation: 12*0=0, Resulting Numbers: [0]
0,93 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 #0,4,4
Current State: 93:[27, 39], Operations: ['62-35=27', '12+27=39']
Exploring Operation: 27+39=66, Resulting Numbers: [66]
66,93 unequal: No Solution
Exploring Operation: 27*39=1053, Resulting Numbers: [1053]
1053,93 unequal: No Solution
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,93 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 #0,4,3
Current State: 93:[27, 15], Operations: ['62-35=27', '27-12=15']
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,93 unequal: No Solution
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,93 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: 93:[27, 35, 74], Operations: ['62+12=74']
Exploring Operation: 35+74=109, Resulting Numbers: [27, 109]
Generated Node #0,1,0: 93:[27, 109] Operation: 35+74=109
Exploring Operation: 27+74=101, Resulting Numbers: [35, 101]
Generated Node #0,1,1: 93:[35, 101] Operation: 27+74=101
Exploring Operation: 74-35=39, Resulting Numbers: [27, 39]
Generated Node #0,1,2: 93:[27, 39] Operation: 74-35=39
Exploring Operation: 35-27=8, Resulting Numbers: [74, 8]
Generated Node #0,1,3: 93:[74, 8] Operation: 35-27=8
Exploring Operation: 74-27=47, Resulting Numbers: [35, 47]
Generated Node #0,1,4: 93:[35, 47] Operation: 74-27=47
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 93:[35, 101], Operations: ['62+12=74', '27+74=101']
Exploring Operation: 101-35=66, Resulting Numbers: [66]
66,93 unequal: No Solution
Exploring Operation: 35*101=3535, Resulting Numbers: [3535]
3535,93 unequal: No Solution
Exploring Operation: 35+101=136, Resulting Numbers: [136]
136,93 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:[27, 39], Operations: ['62+12=74', '74-35=39']
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Exploring Operation: 27+39=66, Resulting Numbers: [66]
66,93 unequal: No Solution
Exploring Operation: 27*39=1053, Resulting Numbers: [1053]
1053,93 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:[27, 109], Operations: ['62+12=74', '35+74=109']
Exploring Operation: 27+109=136, Resulting Numbers: [136]
136,93 unequal: No Solution
Exploring Operation: 109-27=82, Resulting Numbers: [82]
82,93 unequal: No Solution
Exploring Operation: 27*109=2943, Resulting Numbers: [2943]
2943,93 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 #0,1,4
Current State: 93:[35, 47], Operations: ['62+12=74', '74-27=47']
Exploring Operation: 47-35=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Exploring Operation: 35+47=82, Resulting Numbers: [82]
82,93 unequal: No Solution
Exploring Operation: 35*47=1645, Resulting Numbers: [1645]
1645,93 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:[74, 8], Operations: ['62+12=74', '35-27=8']
Exploring Operation: 74-8=66, Resulting Numbers: [66]
66,93 unequal: No Solution
Exploring Operation: 74*8=592, Resulting Numbers: [592]
592,93 unequal: No Solution
Exploring Operation: 74+8=82, Resulting Numbers: [82]
82,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 93:[97, 39], Operations: ['35+62=97', '27+12=39']
Exploring Operation: 97*39=3783, Resulting Numbers: [3783]
3783,93 unequal: No Solution
Exploring Operation: 97-39=58, Resulting Numbers: [58]
58,93 unequal: No Solution
Exploring Operation: 97+39=136, Resulting Numbers: [136]
136,93 unequal: No Solution
Moving to Node #0,0,3
Current State: 93:[27, 85], Operations: ['35+62=97', '97-12=85']
Exploring Operation: 27*85=2295, Resulting Numbers: [2295]
2295,93 unequal: No Solution
Exploring Operation: 85-27=58, Resulting Numbers: [58]
58,93 unequal: No Solution
Exploring Operation: 27+85=112, Resulting Numbers: [112]
112,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[97, 15], Operations: ['35+62=97', '27-12=15']
Exploring Operation: 97-15=82, Resulting Numbers: [82]
82,93 unequal: No Solution
Exploring Operation: 97*15=1455, Resulting Numbers: [1455]
1455,93 unequal: No Solution
Exploring Operation: 97+15=112, Resulting Numbers: [112]
112,93 unequal: No Solution
Moving to Node #0,0,4
Current State: 93:[27, 109], Operations: ['35+62=97', '12+97=109']
Exploring Operation: 27+109=136, Resulting Numbers: [136]
136,93 unequal: No Solution
Exploring Operation: 27*109=2943, Resulting Numbers: [2943]
2943,93 unequal: No Solution
Exploring Operation: 109-27=82, Resulting Numbers: [82]
82,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[12, 70], Operations: ['35+62=97', '97-27=70']
Exploring Operation: 12*70=840, Resulting Numbers: [840]
840,93 unequal: No Solution
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,93 unequal: No Solution
Exploring Operation: 12+70=82, Resulting Numbers: [82]
82,93 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
73,
85,
55,
26
] | 17 | [
"85-73=12",
"55-26=29",
"29-12=17"
] | Current State: 17:[73, 85, 55, 26], Operations: []
Exploring Operation: 85-73=12, Resulting Numbers: [55, 26, 12]
Generated Node #2: [55, 26, 12] from Operation: 85-73=12
Current State: 17:[55, 26, 12], Operations: ['85-73=12']
Exploring Operation: 55-26=29, Resulting Numbers: [12, 29]
Generated Node #3: [12, 29] from Operation: 55-26=29
Current State: 17:[12, 29], Operations: ['85-73=12', '55-26=29']
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[73, 85, 55, 26], Operations: []
Exploring Operation: 73-55=18, Resulting Numbers: [85, 26, 18]
Generated Node #0,0: 17:[85, 26, 18] Operation: 73-55=18
Exploring Operation: 85-73=12, Resulting Numbers: [55, 26, 12]
Generated Node #0,1: 17:[55, 26, 12] Operation: 85-73=12
Exploring Operation: 73-26=47, Resulting Numbers: [85, 55, 47]
Generated Node #0,2: 17:[85, 55, 47] Operation: 73-26=47
Exploring Operation: 85-55=30, Resulting Numbers: [73, 26, 30]
Generated Node #0,3: 17:[73, 26, 30] Operation: 85-55=30
Moving to Node #0,1
Current State: 17:[55, 26, 12], Operations: ['85-73=12']
Exploring Operation: 55-26=29, Resulting Numbers: [12, 29]
Generated Node #0,1,0: 17:[12, 29] Operation: 55-26=29
Exploring Operation: 55+12=67, Resulting Numbers: [26, 67]
Generated Node #0,1,1: 17:[26, 67] Operation: 55+12=67
Exploring Operation: 26-12=14, Resulting Numbers: [55, 14]
Generated Node #0,1,2: 17:[55, 14] Operation: 26-12=14
Exploring Operation: 55-12=43, Resulting Numbers: [26, 43]
Generated Node #0,1,3: 17:[26, 43] Operation: 55-12=43
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 17:[12, 29], Operations: ['85-73=12', '55-26=29']
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[73, 85, 55, 26], Operations: []
Exploring Operation: 85-73=12, Resulting Numbers: [55, 26, 12]
Generated Node #0,1: 17:[55, 26, 12] Operation: 85-73=12
Moving to Node #0,1
Current State: 17:[55, 26, 12], Operations: ['85-73=12']
Exploring Operation: 55-26=29, Resulting Numbers: [12, 29]
Generated Node #0,1,0: 17:[12, 29] Operation: 55-26=29
Moving to Node #0,1,0
Current State: 17:[12, 29], Operations: ['85-73=12', '55-26=29']
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
64,
13,
19,
4
] | 96 | [
"64/4=16",
"19-13=6",
"16*6=96"
] | Current State: 96:[64, 13, 19, 4], Operations: []
Exploring Operation: 64/4=16, Resulting Numbers: [13, 19, 16]
Generated Node #2: [13, 19, 16] from Operation: 64/4=16
Current State: 96:[13, 19, 16], Operations: ['64/4=16']
Exploring Operation: 19-13=6, Resulting Numbers: [16, 6]
Generated Node #3: [16, 6] from Operation: 19-13=6
Current State: 96:[16, 6], Operations: ['64/4=16', '19-13=6']
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[64, 13, 19, 4], Operations: []
Exploring Operation: 64-19=45, Resulting Numbers: [13, 4, 45]
Generated Node #0,0: 96:[13, 4, 45] Operation: 64-19=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[13, 4, 45], Operations: ['64-19=45']
Exploring Operation: 45-13=32, Resulting Numbers: [4, 32]
Generated Node #0,0,0: 96:[4, 32] Operation: 45-13=32
Moving to Node #0,0,0
Current State: 96:[4, 32], Operations: ['64-19=45', '45-13=32']
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,96 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 |
[
38,
16,
6,
30
] | 64 | [
"38-30=8",
"6*8=48",
"16+48=64"
] | Current State: 64:[38, 16, 6, 30], Operations: []
Exploring Operation: 38-30=8, Resulting Numbers: [16, 6, 8]
Generated Node #2: [16, 6, 8] from Operation: 38-30=8
Current State: 64:[16, 6, 8], Operations: ['38-30=8']
Exploring Operation: 6*8=48, Resulting Numbers: [16, 48]
Generated Node #3: [16, 48] from Operation: 6*8=48
Current State: 64:[16, 48], Operations: ['38-30=8', '6*8=48']
Exploring Operation: 16+48=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[38, 16, 6, 30], Operations: []
Exploring Operation: 38-6=32, Resulting Numbers: [16, 30, 32]
Generated Node #0,0: 64:[16, 30, 32] Operation: 38-6=32
Moving to Node #0,0
Current State: 64:[16, 30, 32], Operations: ['38-6=32']
Exploring Operation: 32-30=2, Resulting Numbers: [16, 2]
Generated Node #0,0,0: 64:[16, 2] Operation: 32-30=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[16, 2], Operations: ['38-6=32', '32-30=2']
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
90,
12,
5,
74
] | 92 | [
"90-74=16",
"5*16=80",
"12+80=92"
] | Current State: 92:[90, 12, 5, 74], Operations: []
Exploring Operation: 90-74=16, Resulting Numbers: [12, 5, 16]
Generated Node #2: [12, 5, 16] from Operation: 90-74=16
Current State: 92:[12, 5, 16], Operations: ['90-74=16']
Exploring Operation: 5*16=80, Resulting Numbers: [12, 80]
Generated Node #3: [12, 80] from Operation: 5*16=80
Current State: 92:[12, 80], Operations: ['90-74=16', '5*16=80']
Exploring Operation: 12+80=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[90, 12, 5, 74], Operations: []
Exploring Operation: 12+74=86, Resulting Numbers: [90, 5, 86]
Generated Node #0,0: 92:[90, 5, 86] Operation: 12+74=86
Exploring Operation: 12-5=7, Resulting Numbers: [90, 74, 7]
Generated Node #0,1: 92:[90, 74, 7] Operation: 12-5=7
Exploring Operation: 74-12=62, Resulting Numbers: [90, 5, 62]
Generated Node #0,2: 92:[90, 5, 62] Operation: 74-12=62
Exploring Operation: 90-74=16, Resulting Numbers: [12, 5, 16]
Generated Node #0,3: 92:[12, 5, 16] Operation: 90-74=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[90, 5, 86], Operations: ['12+74=86']
Exploring Operation: 90/5=18, Resulting Numbers: [86, 18]
Generated Node #0,0,0: 92:[86, 18] Operation: 90/5=18
Exploring Operation: 90+5=95, Resulting Numbers: [86, 95]
Generated Node #0,0,1: 92:[86, 95] Operation: 90+5=95
Exploring Operation: 90-86=4, Resulting Numbers: [5, 4]
Generated Node #0,0,2: 92:[5, 4] Operation: 90-86=4
Exploring Operation: 5+86=91, Resulting Numbers: [90, 91]
Generated Node #0,0,3: 92:[90, 91] Operation: 5+86=91
Moving to Node #0,0,2
Current State: 92:[5, 4], Operations: ['12+74=86', '90-86=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,92 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,92 unequal: No Solution
Moving to Node #0,0,3
Current State: 92:[90, 91], Operations: ['12+74=86', '5+86=91']
Exploring Operation: 91-90=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 90*91=8190, Resulting Numbers: [8190]
8190,92 unequal: No Solution
Exploring Operation: 90+91=181, Resulting Numbers: [181]
181,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[86, 95], Operations: ['12+74=86', '90+5=95']
Exploring Operation: 86+95=181, Resulting Numbers: [181]
181,92 unequal: No Solution
Exploring Operation: 86*95=8170, Resulting Numbers: [8170]
8170,92 unequal: No Solution
Exploring Operation: 95-86=9, Resulting Numbers: [9]
9,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[86, 18], Operations: ['12+74=86', '90/5=18']
Exploring Operation: 86-18=68, Resulting Numbers: [68]
68,92 unequal: No Solution
Exploring Operation: 86*18=1548, Resulting Numbers: [1548]
1548,92 unequal: No Solution
Exploring Operation: 86+18=104, Resulting Numbers: [104]
104,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 92:[12, 5, 16], Operations: ['90-74=16']
Exploring Operation: 12+16=28, Resulting Numbers: [5, 28]
Generated Node #0,3,0: 92:[5, 28] Operation: 12+16=28
Exploring Operation: 12-5=7, Resulting Numbers: [16, 7]
Generated Node #0,3,1: 92:[16, 7] Operation: 12-5=7
Exploring Operation: 16-12=4, Resulting Numbers: [5, 4]
Generated Node #0,3,2: 92:[5, 4] Operation: 16-12=4
Exploring Operation: 5+16=21, Resulting Numbers: [12, 21]
Generated Node #0,3,3: 92:[12, 21] Operation: 5+16=21
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 92:[5, 4], Operations: ['90-74=16', '16-12=4']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,92 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,92 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 92:[5, 28], Operations: ['90-74=16', '12+16=28']
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,92 unequal: No Solution
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,92 unequal: No Solution
Exploring Operation: 5*28=140, Resulting Numbers: [140]
140,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 92:[16, 7], Operations: ['90-74=16', '12-5=7']
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,92 unequal: No Solution
Exploring Operation: 16*7=112, Resulting Numbers: [112]
112,92 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 92:[12, 21], Operations: ['90-74=16', '5+16=21']
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,92 unequal: No Solution
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,92 unequal: No Solution
Exploring Operation: 12*21=252, Resulting Numbers: [252]
252,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[90, 5, 62], Operations: ['74-12=62']
Exploring Operation: 90+5=95, Resulting Numbers: [62, 95]
Generated Node #0,2,0: 92:[62, 95] Operation: 90+5=95
Exploring Operation: 90/5=18, Resulting Numbers: [62, 18]
Generated Node #0,2,1: 92:[62, 18] Operation: 90/5=18
Exploring Operation: 62-5=57, Resulting Numbers: [90, 57]
Generated Node #0,2,2: 92:[90, 57] Operation: 62-5=57
Exploring Operation: 90-62=28, Resulting Numbers: [5, 28]
Generated Node #0,2,3: 92:[5, 28] Operation: 90-62=28
Moving to Node #0,2,3
Current State: 92:[5, 28], Operations: ['74-12=62', '90-62=28']
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,92 unequal: No Solution
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,92 unequal: No Solution
Exploring Operation: 5*28=140, Resulting Numbers: [140]
140,92 unequal: No Solution
Moving to Node #0,2,2
Current State: 92:[90, 57], Operations: ['74-12=62', '62-5=57']
Exploring Operation: 90+57=147, Resulting Numbers: [147]
147,92 unequal: No Solution
Exploring Operation: 90-57=33, Resulting Numbers: [33]
33,92 unequal: No Solution
Exploring Operation: 90*57=5130, Resulting Numbers: [5130]
5130,92 unequal: No Solution
Moving to Node #0,2,0
Current State: 92:[62, 95], Operations: ['74-12=62', '90+5=95']
Exploring Operation: 95-62=33, Resulting Numbers: [33]
33,92 unequal: No Solution
Exploring Operation: 62*95=5890, Resulting Numbers: [5890]
5890,92 unequal: No Solution
Exploring Operation: 62+95=157, Resulting Numbers: [157]
157,92 unequal: No Solution
Moving to Node #0,2,1
Current State: 92:[62, 18], Operations: ['74-12=62', '90/5=18']
Exploring Operation: 62*18=1116, Resulting Numbers: [1116]
1116,92 unequal: No Solution
Exploring Operation: 62-18=44, Resulting Numbers: [44]
44,92 unequal: No Solution
Exploring Operation: 62+18=80, Resulting Numbers: [80]
80,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[90, 74, 7], Operations: ['12-5=7']
Exploring Operation: 74+7=81, Resulting Numbers: [90, 81]
Generated Node #0,1,0: 92:[90, 81] Operation: 74+7=81
Exploring Operation: 90-74=16, Resulting Numbers: [7, 16]
Generated Node #0,1,1: 92:[7, 16] Operation: 90-74=16
Exploring Operation: 90+7=97, Resulting Numbers: [74, 97]
Generated Node #0,1,2: 92:[74, 97] Operation: 90+7=97
Exploring Operation: 74-7=67, Resulting Numbers: [90, 67]
Generated Node #0,1,3: 92:[90, 67] Operation: 74-7=67
Moving to Node #0,1,1
Current State: 92:[7, 16], Operations: ['12-5=7', '90-74=16']
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,92 unequal: No Solution
Exploring Operation: 7*16=112, Resulting Numbers: [112]
112,92 unequal: No Solution
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[90, 81], Operations: ['12-5=7', '74+7=81']
Exploring Operation: 90*81=7290, Resulting Numbers: [7290]
7290,92 unequal: No Solution
Exploring Operation: 90+81=171, Resulting Numbers: [171]
171,92 unequal: No Solution
Exploring Operation: 90-81=9, Resulting Numbers: [9]
9,92 unequal: No Solution
Moving to Node #0,1,3
Current State: 92:[90, 67], Operations: ['12-5=7', '74-7=67']
Exploring Operation: 90-67=23, Resulting Numbers: [23]
23,92 unequal: No Solution
Exploring Operation: 90*67=6030, Resulting Numbers: [6030]
6030,92 unequal: No Solution
Exploring Operation: 90+67=157, Resulting Numbers: [157]
157,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[74, 97], Operations: ['12-5=7', '90+7=97']
Exploring Operation: 74+97=171, Resulting Numbers: [171]
171,92 unequal: No Solution
Exploring Operation: 97-74=23, Resulting Numbers: [23]
23,92 unequal: No Solution
Exploring Operation: 74*97=7178, Resulting Numbers: [7178]
7178,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
19,
49,
39,
77
] | 48 | [
"19+49=68",
"39+77=116",
"116-68=48"
] | Current State: 48:[19, 49, 39, 77], Operations: []
Exploring Operation: 19+49=68, Resulting Numbers: [39, 77, 68]
Generated Node #2: [39, 77, 68] from Operation: 19+49=68
Current State: 48:[39, 77, 68], Operations: ['19+49=68']
Exploring Operation: 39+77=116, Resulting Numbers: [68, 116]
Generated Node #3: [68, 116] from Operation: 39+77=116
Current State: 48:[68, 116], Operations: ['19+49=68', '39+77=116']
Exploring Operation: 116-68=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[19, 49, 39, 77], Operations: []
Exploring Operation: 77-39=38, Resulting Numbers: [19, 49, 38]
Generated Node #0,0: 48:[19, 49, 38] Operation: 77-39=38
Exploring Operation: 77-49=28, Resulting Numbers: [19, 39, 28]
Generated Node #0,1: 48:[19, 39, 28] Operation: 77-49=28
Exploring Operation: 77-19=58, Resulting Numbers: [49, 39, 58]
Generated Node #0,2: 48:[49, 39, 58] Operation: 77-19=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[19, 49, 38], Operations: ['77-39=38']
Exploring Operation: 38-19=19, Resulting Numbers: [49, 19]
Generated Node #0,0,0: 48:[49, 19] Operation: 38-19=19
Exploring Operation: 38/19=2, Resulting Numbers: [49, 2]
Generated Node #0,0,1: 48:[49, 2] Operation: 38/19=2
Exploring Operation: 49-38=11, Resulting Numbers: [19, 11]
Generated Node #0,0,2: 48:[19, 11] Operation: 49-38=11
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 48:[49, 2], Operations: ['77-39=38', '38/19=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,48 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,48 unequal: No Solution
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[49, 19], Operations: ['77-39=38', '38-19=19']
Exploring Operation: 49+19=68, Resulting Numbers: [68]
68,48 unequal: No Solution
Exploring Operation: 49-19=30, Resulting Numbers: [30]
30,48 unequal: No Solution
Exploring Operation: 49*19=931, Resulting Numbers: [931]
931,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 48:[19, 11], Operations: ['77-39=38', '49-38=11']
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,48 unequal: No Solution
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,48 unequal: No Solution
Exploring Operation: 19*11=209, Resulting Numbers: [209]
209,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[19, 39, 28], Operations: ['77-49=28']
Exploring Operation: 39-28=11, Resulting Numbers: [19, 11]
Generated Node #0,1,0: 48:[19, 11] Operation: 39-28=11
Exploring Operation: 39-19=20, Resulting Numbers: [28, 20]
Generated Node #0,1,1: 48:[28, 20] Operation: 39-19=20
Exploring Operation: 19+28=47, Resulting Numbers: [39, 47]
Generated Node #0,1,2: 48:[39, 47] Operation: 19+28=47
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 48:[19, 11], Operations: ['77-49=28', '39-28=11']
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,48 unequal: No Solution
Exploring Operation: 19*11=209, Resulting Numbers: [209]
209,48 unequal: No Solution
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 48:[28, 20], Operations: ['77-49=28', '39-19=20']
Exploring Operation: 28*20=560, Resulting Numbers: [560]
560,48 unequal: No Solution
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[19, 49, 39, 77], Operations: []
Exploring Operation: 77-49=28, Resulting Numbers: [19, 39, 28]
Generated Node #0,1: 48:[19, 39, 28] Operation: 77-49=28
Moving to Node #0,1
Current State: 48:[19, 39, 28], Operations: ['77-49=28']
Exploring Operation: 39-19=20, Resulting Numbers: [28, 20]
Generated Node #0,1,1: 48:[28, 20] Operation: 39-19=20
Moving to Node #0,1,1
Current State: 48:[28, 20], Operations: ['77-49=28', '39-19=20']
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.976563 | hs_3 | sum_heuristic |
[
89,
99,
25,
18
] | 53 | [
"99-89=10",
"25+18=43",
"10+43=53"
] | Current State: 53:[89, 99, 25, 18], Operations: []
Exploring Operation: 99-89=10, Resulting Numbers: [25, 18, 10]
Generated Node #2: [25, 18, 10] from Operation: 99-89=10
Current State: 53:[25, 18, 10], Operations: ['99-89=10']
Exploring Operation: 25+18=43, Resulting Numbers: [10, 43]
Generated Node #3: [10, 43] from Operation: 25+18=43
Current State: 53:[10, 43], Operations: ['99-89=10', '25+18=43']
Exploring Operation: 10+43=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[89, 99, 25, 18], Operations: []
Exploring Operation: 89-18=71, Resulting Numbers: [99, 25, 71]
Generated Node #0,0: 53:[99, 25, 71] Operation: 89-18=71
Exploring Operation: 89-25=64, Resulting Numbers: [99, 18, 64]
Generated Node #0,1: 53:[99, 18, 64] Operation: 89-25=64
Exploring Operation: 99-25=74, Resulting Numbers: [89, 18, 74]
Generated Node #0,2: 53:[89, 18, 74] Operation: 99-25=74
Exploring Operation: 99-18=81, Resulting Numbers: [89, 25, 81]
Generated Node #0,3: 53:[89, 25, 81] Operation: 99-18=81
Exploring Operation: 25+18=43, Resulting Numbers: [89, 99, 43]
Generated Node #0,4: 53:[89, 99, 43] Operation: 25+18=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[99, 25, 71], Operations: ['89-18=71']
Exploring Operation: 99+25=124, Resulting Numbers: [71, 124]
Generated Node #0,0,0: 53:[71, 124] Operation: 99+25=124
Exploring Operation: 99-71=28, Resulting Numbers: [25, 28]
Generated Node #0,0,1: 53:[25, 28] Operation: 99-71=28
Exploring Operation: 25+71=96, Resulting Numbers: [99, 96]
Generated Node #0,0,2: 53:[99, 96] Operation: 25+71=96
Exploring Operation: 71-25=46, Resulting Numbers: [99, 46]
Generated Node #0,0,3: 53:[99, 46] Operation: 71-25=46
Exploring Operation: 99-25=74, Resulting Numbers: [71, 74]
Generated Node #0,0,4: 53:[71, 74] Operation: 99-25=74
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 53:[71, 74], Operations: ['89-18=71', '99-25=74']
Exploring Operation: 71+74=145, Resulting Numbers: [145]
145,53 unequal: No Solution
Exploring Operation: 71*74=5254, Resulting Numbers: [5254]
5254,53 unequal: No Solution
Exploring Operation: 74-71=3, Resulting Numbers: [3]
3,53 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 #0,0,1
Current State: 53:[25, 28], Operations: ['89-18=71', '99-71=28']
Exploring Operation: 25+28=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[89, 99, 25, 18], Operations: []
Exploring Operation: 89-18=71, Resulting Numbers: [99, 25, 71]
Generated Node #0,0: 53:[99, 25, 71] Operation: 89-18=71
Moving to Node #0,0
Current State: 53:[99, 25, 71], Operations: ['89-18=71']
Exploring Operation: 99-71=28, Resulting Numbers: [25, 28]
Generated Node #0,0,1: 53:[25, 28] Operation: 99-71=28
Moving to Node #0,0,1
Current State: 53:[25, 28], Operations: ['89-18=71', '99-71=28']
Exploring Operation: 25+28=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
87,
89,
94,
16
] | 86 | [
"89-87=2",
"16/2=8",
"94-8=86"
] | Current State: 86:[87, 89, 94, 16], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [94, 16, 2]
Generated Node #2: [94, 16, 2] from Operation: 89-87=2
Current State: 86:[94, 16, 2], Operations: ['89-87=2']
Exploring Operation: 16/2=8, Resulting Numbers: [94, 8]
Generated Node #3: [94, 8] from Operation: 16/2=8
Current State: 86:[94, 8], Operations: ['89-87=2', '16/2=8']
Exploring Operation: 94-8=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[87, 89, 94, 16], Operations: []
Exploring Operation: 94-16=78, Resulting Numbers: [87, 89, 78]
Generated Node #0,0: 86:[87, 89, 78] Operation: 94-16=78
Exploring Operation: 94-89=5, Resulting Numbers: [87, 16, 5]
Generated Node #0,1: 86:[87, 16, 5] Operation: 94-89=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[87, 89, 78], Operations: ['94-16=78']
Exploring Operation: 89-87=2, Resulting Numbers: [78, 2]
Generated Node #0,0,0: 86:[78, 2] Operation: 89-87=2
Exploring Operation: 87-78=9, Resulting Numbers: [89, 9]
Generated Node #0,0,1: 86:[89, 9] Operation: 87-78=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 86:[78, 2], Operations: ['94-16=78', '89-87=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,86 unequal: No Solution
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,86 unequal: No Solution
No 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: 86:[89, 9], Operations: ['94-16=78', '87-78=9']
Exploring Operation: 89-9=80, Resulting Numbers: [80]
80,86 unequal: No Solution
Exploring Operation: 89+9=98, Resulting Numbers: [98]
98,86 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: 86:[87, 16, 5], Operations: ['94-89=5']
Exploring Operation: 16*5=80, Resulting Numbers: [87, 80]
Generated Node #0,1,0: 86:[87, 80] Operation: 16*5=80
Exploring Operation: 16-5=11, Resulting Numbers: [87, 11]
Generated Node #0,1,1: 86:[87, 11] Operation: 16-5=11
Moving to Node #0,1,0
Current State: 86:[87, 80], Operations: ['94-89=5', '16*5=80']
Exploring Operation: 87-80=7, Resulting Numbers: [7]
7,86 unequal: No Solution
Exploring Operation: 87+80=167, Resulting Numbers: [167]
167,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[87, 11], Operations: ['94-89=5', '16-5=11']
Exploring Operation: 87+11=98, Resulting Numbers: [98]
98,86 unequal: No Solution
Exploring Operation: 87-11=76, Resulting Numbers: [76]
76,86 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 |
[
89,
45,
99,
58
] | 23 | [
"89+45=134",
"99+58=157",
"157-134=23"
] | Current State: 23:[89, 45, 99, 58], Operations: []
Exploring Operation: 89+45=134, Resulting Numbers: [99, 58, 134]
Generated Node #2: [99, 58, 134] from Operation: 89+45=134
Current State: 23:[99, 58, 134], Operations: ['89+45=134']
Exploring Operation: 99+58=157, Resulting Numbers: [134, 157]
Generated Node #3: [134, 157] from Operation: 99+58=157
Current State: 23:[134, 157], Operations: ['89+45=134', '99+58=157']
Exploring Operation: 157-134=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[89, 45, 99, 58], Operations: []
Exploring Operation: 89-45=44, Resulting Numbers: [99, 58, 44]
Generated Node #0,0: 23:[99, 58, 44] Operation: 89-45=44
Exploring Operation: 89-58=31, Resulting Numbers: [45, 99, 31]
Generated Node #0,1: 23:[45, 99, 31] Operation: 89-58=31
Exploring Operation: 99-58=41, Resulting Numbers: [89, 45, 41]
Generated Node #0,2: 23:[89, 45, 41] Operation: 99-58=41
Exploring Operation: 99-89=10, Resulting Numbers: [45, 58, 10]
Generated Node #0,3: 23:[45, 58, 10] Operation: 99-89=10
Exploring Operation: 99-45=54, Resulting Numbers: [89, 58, 54]
Generated Node #0,4: 23:[89, 58, 54] Operation: 99-45=54
Start Sub Search at level 1: Moving to Node #0,3
Current State: 23:[45, 58, 10], Operations: ['99-89=10']
Exploring Operation: 45+10=55, Resulting Numbers: [58, 55]
Generated Node #0,3,0: 23:[58, 55] Operation: 45+10=55
Exploring Operation: 45-10=35, Resulting Numbers: [58, 35]
Generated Node #0,3,1: 23:[58, 35] Operation: 45-10=35
Exploring Operation: 58-45=13, Resulting Numbers: [10, 13]
Generated Node #0,3,2: 23:[10, 13] Operation: 58-45=13
Exploring Operation: 58+10=68, Resulting Numbers: [45, 68]
Generated Node #0,3,3: 23:[45, 68] Operation: 58+10=68
Exploring Operation: 58-10=48, Resulting Numbers: [45, 48]
Generated Node #0,3,4: 23:[45, 48] Operation: 58-10=48
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 23:[10, 13], Operations: ['99-89=10', '58-45=13']
Exploring Operation: 10*13=130, Resulting Numbers: [130]
130,23 unequal: No Solution
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[89, 45, 99, 58], Operations: []
Exploring Operation: 99-89=10, Resulting Numbers: [45, 58, 10]
Generated Node #0,3: 23:[45, 58, 10] Operation: 99-89=10
Moving to Node #0,3
Current State: 23:[45, 58, 10], Operations: ['99-89=10']
Exploring Operation: 58-45=13, Resulting Numbers: [10, 13]
Generated Node #0,3,2: 23:[10, 13] Operation: 58-45=13
Moving to Node #0,3,2
Current State: 23:[10, 13], Operations: ['99-89=10', '58-45=13']
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
31,
83,
54,
45
] | 15 | [
"31+83=114",
"54+45=99",
"114-99=15"
] | Current State: 15:[31, 83, 54, 45], Operations: []
Exploring Operation: 31+83=114, Resulting Numbers: [54, 45, 114]
Generated Node #2: [54, 45, 114] from Operation: 31+83=114
Current State: 15:[54, 45, 114], Operations: ['31+83=114']
Exploring Operation: 54+45=99, Resulting Numbers: [114, 99]
Generated Node #3: [114, 99] from Operation: 54+45=99
Current State: 15:[114, 99], Operations: ['31+83=114', '54+45=99']
Exploring Operation: 114-99=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[31, 83, 54, 45], Operations: []
Exploring Operation: 83-54=29, Resulting Numbers: [31, 45, 29]
Generated Node #0,0: 15:[31, 45, 29] Operation: 83-54=29
Exploring Operation: 83-45=38, Resulting Numbers: [31, 54, 38]
Generated Node #0,1: 15:[31, 54, 38] Operation: 83-45=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[31, 45, 29], Operations: ['83-54=29']
Exploring Operation: 45-31=14, Resulting Numbers: [29, 14]
Generated Node #0,0,0: 15:[29, 14] Operation: 45-31=14
Exploring Operation: 45-29=16, Resulting Numbers: [31, 16]
Generated Node #0,0,1: 15:[31, 16] Operation: 45-29=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 15:[29, 14], Operations: ['83-54=29', '45-31=14']
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,15 unequal: No Solution
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[31, 83, 54, 45], Operations: []
Exploring Operation: 83-54=29, Resulting Numbers: [31, 45, 29]
Generated Node #0,0: 15:[31, 45, 29] Operation: 83-54=29
Moving to Node #0,0
Current State: 15:[31, 45, 29], Operations: ['83-54=29']
Exploring Operation: 45-31=14, Resulting Numbers: [29, 14]
Generated Node #0,0,0: 15:[29, 14] Operation: 45-31=14
Moving to Node #0,0,0
Current State: 15:[29, 14], Operations: ['83-54=29', '45-31=14']
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
85,
9,
2,
85
] | 12 | [
"85/85=1",
"9+2=11",
"1+11=12"
] | Current State: 12:[85, 9, 2, 85], Operations: []
Exploring Operation: 85/85=1, Resulting Numbers: [9, 2, 1]
Generated Node #2: [9, 2, 1] from Operation: 85/85=1
Current State: 12:[9, 2, 1], Operations: ['85/85=1']
Exploring Operation: 9+2=11, Resulting Numbers: [1, 11]
Generated Node #3: [1, 11] from Operation: 9+2=11
Current State: 12:[1, 11], Operations: ['85/85=1', '9+2=11']
Exploring Operation: 1+11=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[85, 9, 2, 85], Operations: []
Exploring Operation: 85/85=1, Resulting Numbers: [9, 2, 1]
Generated Node #0,0: 12:[9, 2, 1] Operation: 85/85=1
Exploring Operation: 85-85=0, Resulting Numbers: [9, 2, 0]
Generated Node #0,1: 12:[9, 2, 0] Operation: 85-85=0
Exploring Operation: 85-9=76, Resulting Numbers: [2, 85, 76]
Generated Node #0,2: 12:[2, 85, 76] Operation: 85-9=76
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[9, 2, 1], Operations: ['85/85=1']
Exploring Operation: 9+1=10, Resulting Numbers: [2, 10]
Generated Node #0,0,0: 12:[2, 10] Operation: 9+1=10
Exploring Operation: 9+2=11, Resulting Numbers: [1, 11]
Generated Node #0,0,1: 12:[1, 11] Operation: 9+2=11
Exploring Operation: 9-2=7, Resulting Numbers: [1, 7]
Generated Node #0,0,2: 12:[1, 7] Operation: 9-2=7
Moving to Node #0,0,0
Current State: 12:[2, 10], Operations: ['85/85=1', '9+1=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[85, 9, 2, 85], Operations: []
Exploring Operation: 85/85=1, Resulting Numbers: [9, 2, 1]
Generated Node #0,0: 12:[9, 2, 1] Operation: 85/85=1
Moving to Node #0,0
Current State: 12:[9, 2, 1], Operations: ['85/85=1']
Exploring Operation: 9+1=10, Resulting Numbers: [2, 10]
Generated Node #0,0,0: 12:[2, 10] Operation: 9+1=10
Moving to Node #0,0,0
Current State: 12:[2, 10], Operations: ['85/85=1', '9+1=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
14,
26,
9,
52
] | 48 | [
"14*9=126",
"26+52=78",
"126-78=48"
] | Current State: 48:[14, 26, 9, 52], Operations: []
Exploring Operation: 14*9=126, Resulting Numbers: [26, 52, 126]
Generated Node #2: [26, 52, 126] from Operation: 14*9=126
Current State: 48:[26, 52, 126], Operations: ['14*9=126']
Exploring Operation: 26+52=78, Resulting Numbers: [126, 78]
Generated Node #3: [126, 78] from Operation: 26+52=78
Current State: 48:[126, 78], Operations: ['14*9=126', '26+52=78']
Exploring Operation: 126-78=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[14, 26, 9, 52], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [14, 9, 2]
Generated Node #0,0: 48:[14, 9, 2] Operation: 52/26=2
Exploring Operation: 14+9=23, Resulting Numbers: [26, 52, 23]
Generated Node #0,1: 48:[26, 52, 23] Operation: 14+9=23
Exploring Operation: 52-26=26, Resulting Numbers: [14, 9, 26]
Generated Node #0,2: 48:[14, 9, 26] Operation: 52-26=26
Exploring Operation: 26-14=12, Resulting Numbers: [9, 52, 12]
Generated Node #0,3: 48:[9, 52, 12] Operation: 26-14=12
Exploring Operation: 14-9=5, Resulting Numbers: [26, 52, 5]
Generated Node #0,4: 48:[26, 52, 5] Operation: 14-9=5
Moving to Node #0,0
Current State: 48:[14, 9, 2], Operations: ['52/26=2']
Exploring Operation: 14+9=23, Resulting Numbers: [2, 23]
Generated Node #0,0,0: 48:[2, 23] Operation: 14+9=23
Exploring Operation: 14+2=16, Resulting Numbers: [9, 16]
Generated Node #0,0,1: 48:[9, 16] Operation: 14+2=16
Exploring Operation: 14-2=12, Resulting Numbers: [9, 12]
Generated Node #0,0,2: 48:[9, 12] Operation: 14-2=12
Exploring Operation: 14-9=5, Resulting Numbers: [2, 5]
Generated Node #0,0,3: 48:[2, 5] Operation: 14-9=5
Exploring Operation: 14/2=7, Resulting Numbers: [9, 7]
Generated Node #0,0,4: 48:[9, 7] Operation: 14/2=7
Moving to Node #0,3
Current State: 48:[9, 52, 12], Operations: ['26-14=12']
Exploring Operation: 9+12=21, Resulting Numbers: [52, 21]
Generated Node #0,3,0: 48:[52, 21] Operation: 9+12=21
Exploring Operation: 12-9=3, Resulting Numbers: [52, 3]
Generated Node #0,3,1: 48:[52, 3] Operation: 12-9=3
Exploring Operation: 52-9=43, Resulting Numbers: [12, 43]
Generated Node #0,3,2: 48:[12, 43] Operation: 52-9=43
Exploring Operation: 52-12=40, Resulting Numbers: [9, 40]
Generated Node #0,3,3: 48:[9, 40] Operation: 52-12=40
Exploring Operation: 9+52=61, Resulting Numbers: [12, 61]
Generated Node #0,3,4: 48:[12, 61] Operation: 9+52=61
Moving to Node #0,2
Current State: 48:[14, 9, 26], Operations: ['52-26=26']
Exploring Operation: 14+9=23, Resulting Numbers: [26, 23]
Generated Node #0,2,0: 48:[26, 23] Operation: 14+9=23
Exploring Operation: 14-9=5, Resulting Numbers: [26, 5]
Generated Node #0,2,1: 48:[26, 5] Operation: 14-9=5
Exploring Operation: 26-9=17, Resulting Numbers: [14, 17]
Generated Node #0,2,2: 48:[14, 17] Operation: 26-9=17
Exploring Operation: 26-14=12, Resulting Numbers: [9, 12]
Generated Node #0,2,3: 48:[9, 12] Operation: 26-14=12
Exploring Operation: 14+26=40, Resulting Numbers: [9, 40]
Generated Node #0,2,4: 48:[9, 40] Operation: 14+26=40
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 48:[9, 12], Operations: ['52-26=26', '26-14=12']
Exploring Operation: 9+12=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,48 unequal: No Solution
Exploring Operation: 9*12=108, Resulting Numbers: [108]
108,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 48:[26, 23], Operations: ['52-26=26', '14+9=23']
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 26*23=598, Resulting Numbers: [598]
598,48 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 48:[26, 5], Operations: ['52-26=26', '14-9=5']
Exploring Operation: 26*5=130, Resulting Numbers: [130]
130,48 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Exploring Operation: 26+5=31, Resulting Numbers: [31]
31,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 48:[14, 17], Operations: ['52-26=26', '26-9=17']
Exploring Operation: 14+17=31, Resulting Numbers: [31]
31,48 unequal: No Solution
Exploring Operation: 17-14=3, Resulting Numbers: [3]
3,48 unequal: No Solution
Exploring Operation: 14*17=238, Resulting Numbers: [238]
238,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 48:[9, 40], Operations: ['52-26=26', '14+26=40']
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,48 unequal: No Solution
Exploring Operation: 9*40=360, Resulting Numbers: [360]
360,48 unequal: No Solution
Exploring Operation: 9+40=49, Resulting Numbers: [49]
49,48 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:[26, 52, 23], Operations: ['14+9=23']
Exploring Operation: 52-26=26, Resulting Numbers: [23, 26]
Generated Node #0,1,0: 48:[23, 26] Operation: 52-26=26
Exploring Operation: 26+23=49, Resulting Numbers: [52, 49]
Generated Node #0,1,1: 48:[52, 49] Operation: 26+23=49
Exploring Operation: 52-23=29, Resulting Numbers: [26, 29]
Generated Node #0,1,2: 48:[26, 29] Operation: 52-23=29
Exploring Operation: 52/26=2, Resulting Numbers: [23, 2]
Generated Node #0,1,3: 48:[23, 2] Operation: 52/26=2
Exploring Operation: 26-23=3, Resulting Numbers: [52, 3]
Generated Node #0,1,4: 48:[52, 3] Operation: 26-23=3
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 48:[23, 2], Operations: ['14+9=23', '52/26=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,48 unequal: No Solution
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 48:[23, 26], Operations: ['14+9=23', '52-26=26']
Exploring Operation: 23*26=598, Resulting Numbers: [598]
598,48 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,48 unequal: No Solution
Exploring Operation: 23+26=49, Resulting Numbers: [49]
49,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 48:[52, 3], Operations: ['14+9=23', '26-23=3']
Exploring Operation: 52+3=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 52*3=156, Resulting Numbers: [156]
156,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 48:[52, 49], Operations: ['14+9=23', '26+23=49']
Exploring Operation: 52-49=3, Resulting Numbers: [3]
3,48 unequal: No Solution
Exploring Operation: 52+49=101, Resulting Numbers: [101]
101,48 unequal: No Solution
Exploring Operation: 52*49=2548, Resulting Numbers: [2548]
2548,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 48:[26, 29], Operations: ['14+9=23', '52-23=29']
Exploring Operation: 26*29=754, Resulting Numbers: [754]
754,48 unequal: No Solution
Exploring Operation: 26+29=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 29-26=3, Resulting Numbers: [3]
3,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 48:[26, 52, 5], Operations: ['14-9=5']
Exploring Operation: 26+5=31, Resulting Numbers: [52, 31]
Generated Node #0,4,0: 48:[52, 31] Operation: 26+5=31
Exploring Operation: 52/26=2, Resulting Numbers: [5, 2]
Generated Node #0,4,1: 48:[5, 2] Operation: 52/26=2
Exploring Operation: 52-26=26, Resulting Numbers: [5, 26]
Generated Node #0,4,2: 48:[5, 26] Operation: 52-26=26
Exploring Operation: 26-5=21, Resulting Numbers: [52, 21]
Generated Node #0,4,3: 48:[52, 21] Operation: 26-5=21
Exploring Operation: 52-5=47, Resulting Numbers: [26, 47]
Generated Node #0,4,4: 48:[26, 47] Operation: 52-5=47
Moving to Node #0,0,0
Current State: 48:[2, 23], Operations: ['52/26=2', '14+9=23']
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,48 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,48 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Moving to Node #0,0,2
Current State: 48:[9, 12], Operations: ['52/26=2', '14-2=12']
Exploring Operation: 9*12=108, Resulting Numbers: [108]
108,48 unequal: No Solution
Exploring Operation: 9+12=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[9, 16], Operations: ['52/26=2', '14+2=16']
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,48 unequal: No Solution
Exploring Operation: 9*16=144, Resulting Numbers: [144]
144,48 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Moving to Node #0,4,1
Current State: 48:[5, 2], Operations: ['14-9=5', '52/26=2']
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,48 unequal: No Solution
Moving to Node #0,0,3
Current State: 48:[2, 5], Operations: ['52/26=2', '14-9=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,48 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Moving to Node #0,0,4
Current State: 48:[9, 7], Operations: ['52/26=2', '14/2=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Moving to Node #0,4,2
Current State: 48:[5, 26], Operations: ['14-9=5', '52-26=26']
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,48 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,48 unequal: No Solution
Moving to Node #0,4,4
Current State: 48:[26, 47], Operations: ['14-9=5', '52-5=47']
Exploring Operation: 26+47=73, Resulting Numbers: [73]
73,48 unequal: No Solution
Exploring Operation: 47-26=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Exploring Operation: 26*47=1222, Resulting Numbers: [1222]
1222,48 unequal: No Solution
Moving to Node #0,3,1
Current State: 48:[52, 3], Operations: ['26-14=12', '12-9=3']
Exploring Operation: 52*3=156, Resulting Numbers: [156]
156,48 unequal: No Solution
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 52+3=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Moving to Node #0,3,2
Current State: 48:[12, 43], Operations: ['26-14=12', '52-9=43']
Exploring Operation: 43-12=31, Resulting Numbers: [31]
31,48 unequal: No Solution
Exploring Operation: 12+43=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 12*43=516, Resulting Numbers: [516]
516,48 unequal: No Solution
Moving to Node #0,4,3
Current State: 48:[52, 21], Operations: ['14-9=5', '26-5=21']
Exploring Operation: 52*21=1092, Resulting Numbers: [1092]
1092,48 unequal: No Solution
Exploring Operation: 52+21=73, Resulting Numbers: [73]
73,48 unequal: No Solution
Exploring Operation: 52-21=31, Resulting Numbers: [31]
31,48 unequal: No Solution
Moving to Node #0,3,0
Current State: 48:[52, 21], Operations: ['26-14=12', '9+12=21']
Exploring Operation: 52*21=1092, Resulting Numbers: [1092]
1092,48 unequal: No Solution
Exploring Operation: 52+21=73, Resulting Numbers: [73]
73,48 unequal: No Solution
Exploring Operation: 52-21=31, Resulting Numbers: [31]
31,48 unequal: No Solution
Moving to Node #0,3,3
Current State: 48:[9, 40], Operations: ['26-14=12', '52-12=40']
Exploring Operation: 9+40=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 9*40=360, Resulting Numbers: [360]
360,48 unequal: No Solution
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,48 unequal: No Solution
Moving to Node #0,4,0
Current State: 48:[52, 31], Operations: ['14-9=5', '26+5=31']
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,48 unequal: No Solution
Exploring Operation: 52+31=83, Resulting Numbers: [83]
83,48 unequal: No Solution
Exploring Operation: 52*31=1612, Resulting Numbers: [1612]
1612,48 unequal: No Solution
Moving to Node #0,3,4
Current State: 48:[12, 61], Operations: ['26-14=12', '9+52=61']
Exploring Operation: 12+61=73, Resulting Numbers: [73]
73,48 unequal: No Solution
Exploring Operation: 61-12=49, Resulting Numbers: [49]
49,48 unequal: No Solution
Exploring Operation: 12*61=732, Resulting Numbers: [732]
732,48 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
49,
98,
45,
34
] | 38 | [
"98-49=49",
"45-34=11",
"49-11=38"
] | Current State: 38:[49, 98, 45, 34], Operations: []
Exploring Operation: 98-49=49, Resulting Numbers: [45, 34, 49]
Generated Node #2: [45, 34, 49] from Operation: 98-49=49
Current State: 38:[45, 34, 49], Operations: ['98-49=49']
Exploring Operation: 45-34=11, Resulting Numbers: [49, 11]
Generated Node #3: [49, 11] from Operation: 45-34=11
Current State: 38:[49, 11], Operations: ['98-49=49', '45-34=11']
Exploring Operation: 49-11=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[49, 98, 45, 34], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [45, 34, 2]
Generated Node #0,0: 38:[45, 34, 2] Operation: 98/49=2
Moving to Node #0,0
Current State: 38:[45, 34, 2], Operations: ['98/49=2']
Exploring Operation: 45-34=11, Resulting Numbers: [2, 11]
Generated Node #0,0,0: 38:[2, 11] Operation: 45-34=11
Moving to Node #0,0,0
Current State: 38:[2, 11], Operations: ['98/49=2', '45-34=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,38 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
30,
58,
13,
90
] | 74 | [
"90/30=3",
"58+13=71",
"3+71=74"
] | Current State: 74:[30, 58, 13, 90], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [58, 13, 3]
Generated Node #2: [58, 13, 3] from Operation: 90/30=3
Current State: 74:[58, 13, 3], Operations: ['90/30=3']
Exploring Operation: 58+13=71, Resulting Numbers: [3, 71]
Generated Node #3: [3, 71] from Operation: 58+13=71
Current State: 74:[3, 71], Operations: ['90/30=3', '58+13=71']
Exploring Operation: 3+71=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[30, 58, 13, 90], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [58, 13, 3]
Generated Node #0,0: 74:[58, 13, 3] Operation: 90/30=3
Exploring Operation: 58+13=71, Resulting Numbers: [30, 90, 71]
Generated Node #0,1: 74:[30, 90, 71] Operation: 58+13=71
Exploring Operation: 90-58=32, Resulting Numbers: [30, 13, 32]
Generated Node #0,2: 74:[30, 13, 32] Operation: 90-58=32
Exploring Operation: 90-13=77, Resulting Numbers: [30, 58, 77]
Generated Node #0,3: 74:[30, 58, 77] Operation: 90-13=77
Start Sub Search at level 1: Moving to Node #0,2
Current State: 74:[30, 13, 32], Operations: ['90-58=32']
Exploring Operation: 32-30=2, Resulting Numbers: [13, 2]
Generated Node #0,2,0: 74:[13, 2] Operation: 32-30=2
Exploring Operation: 30+13=43, Resulting Numbers: [32, 43]
Generated Node #0,2,1: 74:[32, 43] Operation: 30+13=43
Exploring Operation: 13+32=45, Resulting Numbers: [30, 45]
Generated Node #0,2,2: 74:[30, 45] Operation: 13+32=45
Exploring Operation: 30-13=17, Resulting Numbers: [32, 17]
Generated Node #0,2,3: 74:[32, 17] Operation: 30-13=17
Moving to Node #0,2,0
Current State: 74:[13, 2], Operations: ['90-58=32', '32-30=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,74 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,74 unequal: No Solution
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,74 unequal: No Solution
Moving to Node #0,2,1
Current State: 74:[32, 43], Operations: ['90-58=32', '30+13=43']
Exploring Operation: 32+43=75, Resulting Numbers: [75]
75,74 unequal: No Solution
Exploring Operation: 43-32=11, Resulting Numbers: [11]
11,74 unequal: No Solution
Exploring Operation: 32*43=1376, Resulting Numbers: [1376]
1376,74 unequal: No Solution
Moving to Node #0,2,2
Current State: 74:[30, 45], Operations: ['90-58=32', '13+32=45']
Exploring Operation: 30+45=75, Resulting Numbers: [75]
75,74 unequal: No Solution
Exploring Operation: 45-30=15, Resulting Numbers: [15]
15,74 unequal: No Solution
Exploring Operation: 30*45=1350, Resulting Numbers: [1350]
1350,74 unequal: No Solution
Moving to Node #0,2,3
Current State: 74:[32, 17], Operations: ['90-58=32', '30-13=17']
Exploring Operation: 32+17=49, Resulting Numbers: [49]
49,74 unequal: No Solution
Exploring Operation: 32*17=544, Resulting Numbers: [544]
544,74 unequal: No Solution
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[30, 90, 71], Operations: ['58+13=71']
Exploring Operation: 90/30=3, Resulting Numbers: [71, 3]
Generated Node #0,1,0: 74:[71, 3] Operation: 90/30=3
Exploring Operation: 90-30=60, Resulting Numbers: [71, 60]
Generated Node #0,1,1: 74:[71, 60] Operation: 90-30=60
Exploring Operation: 71-30=41, Resulting Numbers: [90, 41]
Generated Node #0,1,2: 74:[90, 41] Operation: 71-30=41
Exploring Operation: 90-71=19, Resulting Numbers: [30, 19]
Generated Node #0,1,3: 74:[30, 19] Operation: 90-71=19
Moving to Node #0,1,0
Current State: 74:[71, 3], Operations: ['58+13=71', '90/30=3']
Exploring Operation: 71*3=213, Resulting Numbers: [213]
213,74 unequal: No Solution
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,74 unequal: No Solution
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[30, 58, 13, 90], Operations: []
Exploring Operation: 58+13=71, Resulting Numbers: [30, 90, 71]
Generated Node #0,1: 74:[30, 90, 71] Operation: 58+13=71
Moving to Node #0,1
Current State: 74:[30, 90, 71], Operations: ['58+13=71']
Exploring Operation: 90/30=3, Resulting Numbers: [71, 3]
Generated Node #0,1,0: 74:[71, 3] Operation: 90/30=3
Moving to Node #0,1,0
Current State: 74:[71, 3], Operations: ['58+13=71', '90/30=3']
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_4 | sum_heuristic |
[
38,
94,
2,
82
] | 73 | [
"38+82=120",
"94/2=47",
"120-47=73"
] | Current State: 73:[38, 94, 2, 82], Operations: []
Exploring Operation: 38+82=120, Resulting Numbers: [94, 2, 120]
Generated Node #2: [94, 2, 120] from Operation: 38+82=120
Current State: 73:[94, 2, 120], Operations: ['38+82=120']
Exploring Operation: 94/2=47, Resulting Numbers: [120, 47]
Generated Node #3: [120, 47] from Operation: 94/2=47
Current State: 73:[120, 47], Operations: ['38+82=120', '94/2=47']
Exploring Operation: 120-47=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[38, 94, 2, 82], Operations: []
Exploring Operation: 38+2=40, Resulting Numbers: [94, 82, 40]
Generated Node #0,0: 73:[94, 82, 40] Operation: 38+2=40
Exploring Operation: 38*2=76, Resulting Numbers: [94, 82, 76]
Generated Node #0,1: 73:[94, 82, 76] Operation: 38*2=76
Exploring Operation: 94-2=92, Resulting Numbers: [38, 82, 92]
Generated Node #0,2: 73:[38, 82, 92] Operation: 94-2=92
Moving to Node #0,1
Current State: 73:[94, 82, 76], Operations: ['38*2=76']
Exploring Operation: 82-76=6, Resulting Numbers: [94, 6]
Generated Node #0,1,0: 73:[94, 6] Operation: 82-76=6
Exploring Operation: 94-76=18, Resulting Numbers: [82, 18]
Generated Node #0,1,1: 73:[82, 18] Operation: 94-76=18
Exploring Operation: 94-82=12, Resulting Numbers: [76, 12]
Generated Node #0,1,2: 73:[76, 12] Operation: 94-82=12
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 73:[82, 18], Operations: ['38*2=76', '94-76=18']
Exploring Operation: 82*18=1476, Resulting Numbers: [1476]
1476,73 unequal: No Solution
Exploring Operation: 82-18=64, Resulting Numbers: [64]
64,73 unequal: No Solution
Exploring Operation: 82+18=100, Resulting Numbers: [100]
100,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 73:[76, 12], Operations: ['38*2=76', '94-82=12']
Exploring Operation: 76*12=912, Resulting Numbers: [912]
912,73 unequal: No Solution
Exploring Operation: 76-12=64, Resulting Numbers: [64]
64,73 unequal: No Solution
Exploring Operation: 76+12=88, Resulting Numbers: [88]
88,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 73:[94, 6], Operations: ['38*2=76', '82-76=6']
Exploring Operation: 94-6=88, Resulting Numbers: [88]
88,73 unequal: No Solution
Exploring Operation: 94*6=564, Resulting Numbers: [564]
564,73 unequal: No Solution
Exploring Operation: 94+6=100, Resulting Numbers: [100]
100,73 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: 73:[94, 82, 40], Operations: ['38+2=40']
Exploring Operation: 94-40=54, Resulting Numbers: [82, 54]
Generated Node #0,0,0: 73:[82, 54] Operation: 94-40=54
Exploring Operation: 82-40=42, Resulting Numbers: [94, 42]
Generated Node #0,0,1: 73:[94, 42] Operation: 82-40=42
Exploring Operation: 94+40=134, Resulting Numbers: [82, 134]
Generated Node #0,0,2: 73:[82, 134] Operation: 94+40=134
Moving to Node #0,2
Current State: 73:[38, 82, 92], Operations: ['94-2=92']
Exploring Operation: 82-38=44, Resulting Numbers: [92, 44]
Generated Node #0,2,0: 73:[92, 44] Operation: 82-38=44
Exploring Operation: 38+82=120, Resulting Numbers: [92, 120]
Generated Node #0,2,1: 73:[92, 120] Operation: 38+82=120
Exploring Operation: 92-38=54, Resulting Numbers: [82, 54]
Generated Node #0,2,2: 73:[82, 54] Operation: 92-38=54
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 73:[82, 54], Operations: ['94-2=92', '92-38=54']
Exploring Operation: 82-54=28, Resulting Numbers: [28]
28,73 unequal: No Solution
Exploring Operation: 82+54=136, Resulting Numbers: [136]
136,73 unequal: No Solution
Exploring Operation: 82*54=4428, Resulting Numbers: [4428]
4428,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 73:[92, 44], Operations: ['94-2=92', '82-38=44']
Exploring Operation: 92-44=48, Resulting Numbers: [48]
48,73 unequal: No Solution
Exploring Operation: 92+44=136, Resulting Numbers: [136]
136,73 unequal: No Solution
Exploring Operation: 92*44=4048, Resulting Numbers: [4048]
4048,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 73:[92, 120], Operations: ['94-2=92', '38+82=120']
Exploring Operation: 92+120=212, Resulting Numbers: [212]
212,73 unequal: No Solution
Exploring Operation: 92*120=11040, Resulting Numbers: [11040]
11040,73 unequal: No Solution
Exploring Operation: 120-92=28, Resulting Numbers: [28]
28,73 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: 73:[82, 54], Operations: ['38+2=40', '94-40=54']
Exploring Operation: 82-54=28, Resulting Numbers: [28]
28,73 unequal: No Solution
Exploring Operation: 82*54=4428, Resulting Numbers: [4428]
4428,73 unequal: No Solution
Exploring Operation: 82+54=136, Resulting Numbers: [136]
136,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[94, 42], Operations: ['38+2=40', '82-40=42']
Exploring Operation: 94-42=52, Resulting Numbers: [52]
52,73 unequal: No Solution
Exploring Operation: 94*42=3948, Resulting Numbers: [3948]
3948,73 unequal: No Solution
Exploring Operation: 94+42=136, Resulting Numbers: [136]
136,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[82, 134], Operations: ['38+2=40', '94+40=134']
Exploring Operation: 134-82=52, Resulting Numbers: [52]
52,73 unequal: No Solution
Exploring Operation: 82*134=10988, Resulting Numbers: [10988]
10988,73 unequal: No Solution
Exploring Operation: 82+134=216, Resulting Numbers: [216]
216,73 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
46,
85,
17,
4
] | 31 | [
"46-17=29",
"4*29=116",
"116-85=31"
] | Current State: 31:[46, 85, 17, 4], Operations: []
Exploring Operation: 46-17=29, Resulting Numbers: [85, 4, 29]
Generated Node #2: [85, 4, 29] from Operation: 46-17=29
Current State: 31:[85, 4, 29], Operations: ['46-17=29']
Exploring Operation: 4*29=116, Resulting Numbers: [85, 116]
Generated Node #3: [85, 116] from Operation: 4*29=116
Current State: 31:[85, 116], Operations: ['46-17=29', '4*29=116']
Exploring Operation: 116-85=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[46, 85, 17, 4], Operations: []
Exploring Operation: 85-4=81, Resulting Numbers: [46, 17, 81]
Generated Node #0,0: 31:[46, 17, 81] Operation: 85-4=81
Exploring Operation: 85-17=68, Resulting Numbers: [46, 4, 68]
Generated Node #0,1: 31:[46, 4, 68] Operation: 85-17=68
Exploring Operation: 85-46=39, Resulting Numbers: [17, 4, 39]
Generated Node #0,2: 31:[17, 4, 39] Operation: 85-46=39
Exploring Operation: 46-4=42, Resulting Numbers: [85, 17, 42]
Generated Node #0,3: 31:[85, 17, 42] Operation: 46-4=42
Exploring Operation: 85/17=5, Resulting Numbers: [46, 4, 5]
Generated Node #0,4: 31:[46, 4, 5] Operation: 85/17=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 31:[17, 4, 39], Operations: ['85-46=39']
Exploring Operation: 39-17=22, Resulting Numbers: [4, 22]
Generated Node #0,2,0: 31:[4, 22] Operation: 39-17=22
Exploring Operation: 17+4=21, Resulting Numbers: [39, 21]
Generated Node #0,2,1: 31:[39, 21] Operation: 17+4=21
Exploring Operation: 4+39=43, Resulting Numbers: [17, 43]
Generated Node #0,2,2: 31:[17, 43] Operation: 4+39=43
Exploring Operation: 17-4=13, Resulting Numbers: [39, 13]
Generated Node #0,2,3: 31:[39, 13] Operation: 17-4=13
Exploring Operation: 39-4=35, Resulting Numbers: [17, 35]
Generated Node #0,2,4: 31:[17, 35] Operation: 39-4=35
Moving to Node #0,2,1
Current State: 31:[39, 21], Operations: ['85-46=39', '17+4=21']
Exploring Operation: 39+21=60, Resulting Numbers: [60]
60,31 unequal: No Solution
Exploring Operation: 39*21=819, Resulting Numbers: [819]
819,31 unequal: No Solution
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Moving to Node #0,2,4
Current State: 31:[17, 35], Operations: ['85-46=39', '39-4=35']
Exploring Operation: 17*35=595, Resulting Numbers: [595]
595,31 unequal: No Solution
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 17+35=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Moving to Node #0,2,2
Current State: 31:[17, 43], Operations: ['85-46=39', '4+39=43']
Exploring Operation: 17+43=60, Resulting Numbers: [60]
60,31 unequal: No Solution
Exploring Operation: 17*43=731, Resulting Numbers: [731]
731,31 unequal: No Solution
Exploring Operation: 43-17=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Moving to Node #0,2,3
Current State: 31:[39, 13], Operations: ['85-46=39', '17-4=13']
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 39*13=507, Resulting Numbers: [507]
507,31 unequal: No Solution
Exploring Operation: 39+13=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,31 unequal: No Solution
Moving to Node #0,2,0
Current State: 31:[4, 22], Operations: ['85-46=39', '39-17=22']
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 31:[46, 4, 5], Operations: ['85/17=5']
Exploring Operation: 46-4=42, Resulting Numbers: [5, 42]
Generated Node #0,4,0: 31:[5, 42] Operation: 46-4=42
Exploring Operation: 46+4=50, Resulting Numbers: [5, 50]
Generated Node #0,4,1: 31:[5, 50] Operation: 46+4=50
Exploring Operation: 4+5=9, Resulting Numbers: [46, 9]
Generated Node #0,4,2: 31:[46, 9] Operation: 4+5=9
Exploring Operation: 46-5=41, Resulting Numbers: [4, 41]
Generated Node #0,4,3: 31:[4, 41] Operation: 46-5=41
Exploring Operation: 4*5=20, Resulting Numbers: [46, 20]
Generated Node #0,4,4: 31:[46, 20] Operation: 4*5=20
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 31:[46, 20], Operations: ['85/17=5', '4*5=20']
Exploring Operation: 46+20=66, Resulting Numbers: [66]
66,31 unequal: No Solution
Exploring Operation: 46*20=920, Resulting Numbers: [920]
920,31 unequal: No Solution
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 31:[5, 42], Operations: ['85/17=5', '46-4=42']
Exploring Operation: 5*42=210, Resulting Numbers: [210]
210,31 unequal: No Solution
Exploring Operation: 5+42=47, Resulting Numbers: [47]
47,31 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 31:[46, 9], Operations: ['85/17=5', '4+5=9']
Exploring Operation: 46+9=55, Resulting Numbers: [55]
55,31 unequal: No Solution
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,31 unequal: No Solution
Exploring Operation: 46*9=414, Resulting Numbers: [414]
414,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 31:[4, 41], Operations: ['85/17=5', '46-5=41']
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,31 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,31 unequal: No Solution
Exploring Operation: 4*41=164, Resulting Numbers: [164]
164,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 31:[5, 50], Operations: ['85/17=5', '46+4=50']
Exploring Operation: 5*50=250, Resulting Numbers: [250]
250,31 unequal: No Solution
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,31 unequal: No Solution
Exploring Operation: 5+50=55, Resulting Numbers: [55]
55,31 unequal: No Solution
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,31 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[46, 17, 81], Operations: ['85-4=81']
Exploring Operation: 46+17=63, Resulting Numbers: [81, 63]
Generated Node #0,0,0: 31:[81, 63] Operation: 46+17=63
Exploring Operation: 17+81=98, Resulting Numbers: [46, 98]
Generated Node #0,0,1: 31:[46, 98] Operation: 17+81=98
Exploring Operation: 46-17=29, Resulting Numbers: [81, 29]
Generated Node #0,0,2: 31:[81, 29] Operation: 46-17=29
Exploring Operation: 81-46=35, Resulting Numbers: [17, 35]
Generated Node #0,0,3: 31:[17, 35] Operation: 81-46=35
Exploring Operation: 81-17=64, Resulting Numbers: [46, 64]
Generated Node #0,0,4: 31:[46, 64] Operation: 81-17=64
Moving to Node #0,0,3
Current State: 31:[17, 35], Operations: ['85-4=81', '81-46=35']
Exploring Operation: 17*35=595, Resulting Numbers: [595]
595,31 unequal: No Solution
Exploring Operation: 17+35=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Moving to Node #0,0,4
Current State: 31:[46, 64], Operations: ['85-4=81', '81-17=64']
Exploring Operation: 46+64=110, Resulting Numbers: [110]
110,31 unequal: No Solution
Exploring Operation: 64-46=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 46*64=2944, Resulting Numbers: [2944]
2944,31 unequal: No Solution
Moving to Node #0,0,2
Current State: 31:[81, 29], Operations: ['85-4=81', '46-17=29']
Exploring Operation: 81+29=110, Resulting Numbers: [110]
110,31 unequal: No Solution
Exploring Operation: 81-29=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 81*29=2349, Resulting Numbers: [2349]
2349,31 unequal: No Solution
Moving to Node #0,0,0
Current State: 31:[81, 63], Operations: ['85-4=81', '46+17=63']
Exploring Operation: 81+63=144, Resulting Numbers: [144]
144,31 unequal: No Solution
Exploring Operation: 81*63=5103, Resulting Numbers: [5103]
5103,31 unequal: No Solution
Exploring Operation: 81-63=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Moving to Node #0,0,1
Current State: 31:[46, 98], Operations: ['85-4=81', '17+81=98']
Exploring Operation: 98-46=52, Resulting Numbers: [52]
52,31 unequal: No Solution
Exploring Operation: 46+98=144, Resulting Numbers: [144]
144,31 unequal: No Solution
Exploring Operation: 46*98=4508, Resulting Numbers: [4508]
4508,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 31:[46, 4, 68], Operations: ['85-17=68']
Exploring Operation: 68-4=64, Resulting Numbers: [46, 64]
Generated Node #0,1,0: 31:[46, 64] Operation: 68-4=64
Exploring Operation: 68/4=17, Resulting Numbers: [46, 17]
Generated Node #0,1,1: 31:[46, 17] Operation: 68/4=17
Exploring Operation: 68-46=22, Resulting Numbers: [4, 22]
Generated Node #0,1,2: 31:[4, 22] Operation: 68-46=22
Exploring Operation: 46-4=42, Resulting Numbers: [68, 42]
Generated Node #0,1,3: 31:[68, 42] Operation: 46-4=42
Exploring Operation: 46+4=50, Resulting Numbers: [68, 50]
Generated Node #0,1,4: 31:[68, 50] Operation: 46+4=50
Moving to Node #0,1,1
Current State: 31:[46, 17], Operations: ['85-17=68', '68/4=17']
Exploring Operation: 46*17=782, Resulting Numbers: [782]
782,31 unequal: No Solution
Exploring Operation: 46+17=63, Resulting Numbers: [63]
63,31 unequal: No Solution
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,31 unequal: No Solution
Moving to Node #0,1,2
Current State: 31:[4, 22], Operations: ['85-17=68', '68-46=22']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,31 unequal: No Solution
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Moving to Node #0,1,0
Current State: 31:[46, 64], Operations: ['85-17=68', '68-4=64']
Exploring Operation: 46+64=110, Resulting Numbers: [110]
110,31 unequal: No Solution
Exploring Operation: 64-46=18, Resulting Numbers: [18]
18,31 unequal: No Solution
Exploring Operation: 46*64=2944, Resulting Numbers: [2944]
2944,31 unequal: No Solution
Moving to Node #0,1,3
Current State: 31:[68, 42], Operations: ['85-17=68', '46-4=42']
Exploring Operation: 68+42=110, Resulting Numbers: [110]
110,31 unequal: No Solution
Exploring Operation: 68*42=2856, Resulting Numbers: [2856]
2856,31 unequal: No Solution
Exploring Operation: 68-42=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Moving to Node #0,1,4
Current State: 31:[68, 50], Operations: ['85-17=68', '46+4=50']
Exploring Operation: 68*50=3400, Resulting Numbers: [3400]
3400,31 unequal: No Solution
Exploring Operation: 68+50=118, Resulting Numbers: [118]
118,31 unequal: No Solution
Exploring Operation: 68-50=18, Resulting Numbers: [18]
18,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 31:[85, 17, 42], Operations: ['46-4=42']
Exploring Operation: 85-17=68, Resulting Numbers: [42, 68]
Generated Node #0,3,0: 31:[42, 68] Operation: 85-17=68
Exploring Operation: 42-17=25, Resulting Numbers: [85, 25]
Generated Node #0,3,1: 31:[85, 25] Operation: 42-17=25
Exploring Operation: 85-42=43, Resulting Numbers: [17, 43]
Generated Node #0,3,2: 31:[17, 43] Operation: 85-42=43
Exploring Operation: 85/17=5, Resulting Numbers: [42, 5]
Generated Node #0,3,3: 31:[42, 5] Operation: 85/17=5
Exploring Operation: 85+17=102, Resulting Numbers: [42, 102]
Generated Node #0,3,4: 31:[42, 102] Operation: 85+17=102
Moving to Node #0,3,2
Current State: 31:[17, 43], Operations: ['46-4=42', '85-42=43']
Exploring Operation: 43-17=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 17*43=731, Resulting Numbers: [731]
731,31 unequal: No Solution
Exploring Operation: 17+43=60, Resulting Numbers: [60]
60,31 unequal: No Solution
Moving to Node #0,3,3
Current State: 31:[42, 5], Operations: ['46-4=42', '85/17=5']
Exploring Operation: 42*5=210, Resulting Numbers: [210]
210,31 unequal: No Solution
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,31 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,31 unequal: No Solution
Moving to Node #0,3,0
Current State: 31:[42, 68], Operations: ['46-4=42', '85-17=68']
Exploring Operation: 42+68=110, Resulting Numbers: [110]
110,31 unequal: No Solution
Exploring Operation: 68-42=26, Resulting Numbers: [26]
26,31 unequal: No Solution
Exploring Operation: 42*68=2856, Resulting Numbers: [2856]
2856,31 unequal: No Solution
Moving to Node #0,3,1
Current State: 31:[85, 25], Operations: ['46-4=42', '42-17=25']
Exploring Operation: 85*25=2125, Resulting Numbers: [2125]
2125,31 unequal: No Solution
Exploring Operation: 85+25=110, Resulting Numbers: [110]
110,31 unequal: No Solution
Exploring Operation: 85-25=60, Resulting Numbers: [60]
60,31 unequal: No Solution
Moving to Node #0,3,4
Current State: 31:[42, 102], Operations: ['46-4=42', '85+17=102']
Exploring Operation: 42*102=4284, Resulting Numbers: [4284]
4284,31 unequal: No Solution
Exploring Operation: 102-42=60, Resulting Numbers: [60]
60,31 unequal: No Solution
Exploring Operation: 42+102=144, Resulting Numbers: [144]
144,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
11,
18,
4,
3
] | 58 | [
"11+3=14",
"18*4=72",
"72-14=58"
] | Current State: 58:[11, 18, 4, 3], Operations: []
Exploring Operation: 11+3=14, Resulting Numbers: [18, 4, 14]
Generated Node #2: [18, 4, 14] from Operation: 11+3=14
Current State: 58:[18, 4, 14], Operations: ['11+3=14']
Exploring Operation: 18*4=72, Resulting Numbers: [14, 72]
Generated Node #3: [14, 72] from Operation: 18*4=72
Current State: 58:[14, 72], Operations: ['11+3=14', '18*4=72']
Exploring Operation: 72-14=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[11, 18, 4, 3], Operations: []
Exploring Operation: 18-11=7, Resulting Numbers: [4, 3, 7]
Generated Node #0,0: 58:[4, 3, 7] Operation: 18-11=7
Exploring Operation: 11+18=29, Resulting Numbers: [4, 3, 29]
Generated Node #0,1: 58:[4, 3, 29] Operation: 11+18=29
Exploring Operation: 18*3=54, Resulting Numbers: [11, 4, 54]
Generated Node #0,2: 58:[11, 4, 54] Operation: 18*3=54
Moving to Node #0,1
Current State: 58:[4, 3, 29], Operations: ['11+18=29']
Exploring Operation: 4-3=1, Resulting Numbers: [29, 1]
Generated Node #0,1,0: 58:[29, 1] Operation: 4-3=1
Exploring Operation: 4+29=33, Resulting Numbers: [3, 33]
Generated Node #0,1,1: 58:[3, 33] Operation: 4+29=33
Exploring Operation: 4+3=7, Resulting Numbers: [29, 7]
Generated Node #0,1,2: 58:[29, 7] Operation: 4+3=7
Moving to Node #0,0
Current State: 58:[4, 3, 7], Operations: ['18-11=7']
Exploring Operation: 7-3=4, Resulting Numbers: [4, 4]
Generated Node #0,0,0: 58:[4, 4] Operation: 7-3=4
Exploring Operation: 7-4=3, Resulting Numbers: [3, 3]
Generated Node #0,0,1: 58:[3, 3] Operation: 7-4=3
Exploring Operation: 4*7=28, Resulting Numbers: [3, 28]
Generated Node #0,0,2: 58:[3, 28] Operation: 4*7=28
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 58:[3, 3], Operations: ['18-11=7', '7-4=3']
Exploring Operation: 3-3=0, Resulting Numbers: [0]
0,58 unequal: No Solution
Exploring Operation: 3/3=1, Resulting Numbers: [1]
1,58 unequal: No Solution
Exploring Operation: 3+3=6, Resulting Numbers: [6]
6,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 58:[3, 28], Operations: ['18-11=7', '4*7=28']
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,58 unequal: No Solution
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[4, 4], Operations: ['18-11=7', '7-3=4']
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,58 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,58 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,58 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: 58:[11, 4, 54], Operations: ['18*3=54']
Exploring Operation: 4+54=58, Resulting Numbers: [11, 58]
Generated Node #0,2,0: 58:[11, 58] Operation: 4+54=58
Exploring Operation: 11+54=65, Resulting Numbers: [4, 65]
Generated Node #0,2,1: 58:[4, 65] Operation: 11+54=65
Exploring Operation: 11-4=7, Resulting Numbers: [54, 7]
Generated Node #0,2,2: 58:[54, 7] Operation: 11-4=7
Moving to Node #0,1,0
Current State: 58:[29, 1], Operations: ['11+18=29', '4-3=1']
Exploring Operation: 29/1=29, Resulting Numbers: [29]
29,58 unequal: No Solution
Exploring Operation: 29+1=30, Resulting Numbers: [30]
30,58 unequal: No Solution
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,58 unequal: No Solution
Moving to Node #0,1,2
Current State: 58:[29, 7], Operations: ['11+18=29', '4+3=7']
Exploring Operation: 29-7=22, Resulting Numbers: [22]
22,58 unequal: No Solution
Exploring Operation: 29+7=36, Resulting Numbers: [36]
36,58 unequal: No Solution
Exploring Operation: 29*7=203, Resulting Numbers: [203]
203,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[3, 33], Operations: ['11+18=29', '4+29=33']
Exploring Operation: 3+33=36, Resulting Numbers: [36]
36,58 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,58 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,58 unequal: No Solution
Moving to Node #0,2,2
Current State: 58:[54, 7], Operations: ['18*3=54', '11-4=7']
Exploring Operation: 54*7=378, Resulting Numbers: [378]
378,58 unequal: No Solution
Exploring Operation: 54+7=61, Resulting Numbers: [61]
61,58 unequal: No Solution
Exploring Operation: 54-7=47, Resulting Numbers: [47]
47,58 unequal: No Solution
Moving to Node #0,2,0
Current State: 58:[11, 58], Operations: ['18*3=54', '4+54=58']
Exploring Operation: 11+58=69, Resulting Numbers: [69]
69,58 unequal: No Solution
Exploring Operation: 11*58=638, Resulting Numbers: [638]
638,58 unequal: No Solution
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,58 unequal: No Solution
Moving to Node #0,2,1
Current State: 58:[4, 65], Operations: ['18*3=54', '11+54=65']
Exploring Operation: 4*65=260, Resulting Numbers: [260]
260,58 unequal: No Solution
Exploring Operation: 65-4=61, Resulting Numbers: [61]
61,58 unequal: No Solution
Exploring Operation: 4+65=69, Resulting Numbers: [69]
69,58 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
6,
73,
8,
11
] | 81 | [
"6+8=14",
"11*14=154",
"154-73=81"
] | Current State: 81:[6, 73, 8, 11], Operations: []
Exploring Operation: 6+8=14, Resulting Numbers: [73, 11, 14]
Generated Node #2: [73, 11, 14] from Operation: 6+8=14
Current State: 81:[73, 11, 14], Operations: ['6+8=14']
Exploring Operation: 11*14=154, Resulting Numbers: [73, 154]
Generated Node #3: [73, 154] from Operation: 11*14=154
Current State: 81:[73, 154], Operations: ['6+8=14', '11*14=154']
Exploring Operation: 154-73=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[6, 73, 8, 11], Operations: []
Exploring Operation: 6+73=79, Resulting Numbers: [8, 11, 79]
Generated Node #0,0: 81:[8, 11, 79] Operation: 6+73=79
Exploring Operation: 8-6=2, Resulting Numbers: [73, 11, 2]
Generated Node #0,1: 81:[73, 11, 2] Operation: 8-6=2
Exploring Operation: 73+11=84, Resulting Numbers: [6, 8, 84]
Generated Node #0,2: 81:[6, 8, 84] Operation: 73+11=84
Exploring Operation: 73+8=81, Resulting Numbers: [6, 11, 81]
Generated Node #0,3: 81:[6, 11, 81] Operation: 73+8=81
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[8, 11, 79], Operations: ['6+73=79']
Exploring Operation: 8*11=88, Resulting Numbers: [79, 88]
Generated Node #0,0,0: 81:[79, 88] Operation: 8*11=88
Exploring Operation: 11-8=3, Resulting Numbers: [79, 3]
Generated Node #0,0,1: 81:[79, 3] Operation: 11-8=3
Exploring Operation: 8+11=19, Resulting Numbers: [79, 19]
Generated Node #0,0,2: 81:[79, 19] Operation: 8+11=19
Exploring Operation: 8+79=87, Resulting Numbers: [11, 87]
Generated Node #0,0,3: 81:[11, 87] Operation: 8+79=87
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 81:[79, 3], Operations: ['6+73=79', '11-8=3']
Exploring Operation: 79-3=76, Resulting Numbers: [76]
76,81 unequal: No Solution
Exploring Operation: 79+3=82, Resulting Numbers: [82]
82,81 unequal: No Solution
Exploring Operation: 79*3=237, Resulting Numbers: [237]
237,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 81:[11, 87], Operations: ['6+73=79', '8+79=87']
Exploring Operation: 11*87=957, Resulting Numbers: [957]
957,81 unequal: No Solution
Exploring Operation: 11+87=98, Resulting Numbers: [98]
98,81 unequal: No Solution
Exploring Operation: 87-11=76, Resulting Numbers: [76]
76,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[79, 88], Operations: ['6+73=79', '8*11=88']
Exploring Operation: 79*88=6952, Resulting Numbers: [6952]
6952,81 unequal: No Solution
Exploring Operation: 79+88=167, Resulting Numbers: [167]
167,81 unequal: No Solution
Exploring Operation: 88-79=9, Resulting Numbers: [9]
9,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 81:[79, 19], Operations: ['6+73=79', '8+11=19']
Exploring Operation: 79*19=1501, Resulting Numbers: [1501]
1501,81 unequal: No Solution
Exploring Operation: 79+19=98, Resulting Numbers: [98]
98,81 unequal: No Solution
Exploring Operation: 79-19=60, Resulting Numbers: [60]
60,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 81:[6, 11, 81], Operations: ['73+8=81']
Exploring Operation: 6+11=17, Resulting Numbers: [81, 17]
Generated Node #0,3,0: 81:[81, 17] Operation: 6+11=17
Exploring Operation: 81-6=75, Resulting Numbers: [11, 75]
Generated Node #0,3,1: 81:[11, 75] Operation: 81-6=75
Exploring Operation: 11-6=5, Resulting Numbers: [81, 5]
Generated Node #0,3,2: 81:[81, 5] Operation: 11-6=5
Exploring Operation: 6+81=87, Resulting Numbers: [11, 87]
Generated Node #0,3,3: 81:[11, 87] Operation: 6+81=87
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 81:[81, 5], Operations: ['73+8=81', '11-6=5']
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,81 unequal: No Solution
Exploring Operation: 81+5=86, Resulting Numbers: [86]
86,81 unequal: No Solution
Exploring Operation: 81*5=405, Resulting Numbers: [405]
405,81 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:[81, 17], Operations: ['73+8=81', '6+11=17']
Exploring Operation: 81-17=64, Resulting Numbers: [64]
64,81 unequal: No Solution
Exploring Operation: 81+17=98, Resulting Numbers: [98]
98,81 unequal: No Solution
Exploring Operation: 81*17=1377, Resulting Numbers: [1377]
1377,81 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:[11, 75], Operations: ['73+8=81', '81-6=75']
Exploring Operation: 11+75=86, Resulting Numbers: [86]
86,81 unequal: No Solution
Exploring Operation: 11*75=825, Resulting Numbers: [825]
825,81 unequal: No Solution
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,81 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:[11, 87], Operations: ['73+8=81', '6+81=87']
Exploring Operation: 11*87=957, Resulting Numbers: [957]
957,81 unequal: No Solution
Exploring Operation: 87-11=76, Resulting Numbers: [76]
76,81 unequal: No Solution
Exploring Operation: 11+87=98, Resulting Numbers: [98]
98,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 81:[6, 8, 84], Operations: ['73+11=84']
Exploring Operation: 8-6=2, Resulting Numbers: [84, 2]
Generated Node #0,2,0: 81:[84, 2] Operation: 8-6=2
Exploring Operation: 84-6=78, Resulting Numbers: [8, 78]
Generated Node #0,2,1: 81:[8, 78] Operation: 84-6=78
Exploring Operation: 6+8=14, Resulting Numbers: [84, 14]
Generated Node #0,2,2: 81:[84, 14] Operation: 6+8=14
Exploring Operation: 84/6=14, Resulting Numbers: [8, 14]
Generated Node #0,2,3: 81:[8, 14] Operation: 84/6=14
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 81:[84, 2], Operations: ['73+11=84', '8-6=2']
Exploring Operation: 84*2=168, Resulting Numbers: [168]
168,81 unequal: No Solution
Exploring Operation: 84+2=86, Resulting Numbers: [86]
86,81 unequal: No Solution
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,81 unequal: No Solution
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,81 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 #0,2,1
Current State: 81:[8, 78], Operations: ['73+11=84', '84-6=78']
Exploring Operation: 8*78=624, Resulting Numbers: [624]
624,81 unequal: No Solution
Exploring Operation: 78-8=70, Resulting Numbers: [70]
70,81 unequal: No Solution
Exploring Operation: 8+78=86, Resulting Numbers: [86]
86,81 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 #0,2,3
Current State: 81:[8, 14], Operations: ['73+11=84', '84/6=14']
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,81 unequal: No Solution
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,81 unequal: No Solution
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,81 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 #0,2,2
Current State: 81:[84, 14], Operations: ['73+11=84', '6+8=14']
Exploring Operation: 84*14=1176, Resulting Numbers: [1176]
1176,81 unequal: No Solution
Exploring Operation: 84/14=6, Resulting Numbers: [6]
6,81 unequal: No Solution
Exploring Operation: 84-14=70, Resulting Numbers: [70]
70,81 unequal: No Solution
Exploring Operation: 84+14=98, Resulting Numbers: [98]
98,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[73, 11, 2], Operations: ['8-6=2']
Exploring Operation: 73-2=71, Resulting Numbers: [11, 71]
Generated Node #0,1,0: 81:[11, 71] Operation: 73-2=71
Exploring Operation: 11-2=9, Resulting Numbers: [73, 9]
Generated Node #0,1,1: 81:[73, 9] Operation: 11-2=9
Exploring Operation: 73+11=84, Resulting Numbers: [2, 84]
Generated Node #0,1,2: 81:[2, 84] Operation: 73+11=84
Exploring Operation: 73+2=75, Resulting Numbers: [11, 75]
Generated Node #0,1,3: 81:[11, 75] Operation: 73+2=75
Moving to Node #0,1,2
Current State: 81:[2, 84], Operations: ['8-6=2', '73+11=84']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,81 unequal: No Solution
Exploring Operation: 2+84=86, Resulting Numbers: [86]
86,81 unequal: No Solution
Exploring Operation: 2*84=168, Resulting Numbers: [168]
168,81 unequal: No Solution
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,81 unequal: No Solution
Moving to Node #0,1,3
Current State: 81:[11, 75], Operations: ['8-6=2', '73+2=75']
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,81 unequal: No Solution
Exploring Operation: 11+75=86, Resulting Numbers: [86]
86,81 unequal: No Solution
Exploring Operation: 11*75=825, Resulting Numbers: [825]
825,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[73, 9], Operations: ['8-6=2', '11-2=9']
Exploring Operation: 73-9=64, Resulting Numbers: [64]
64,81 unequal: No Solution
Exploring Operation: 73+9=82, Resulting Numbers: [82]
82,81 unequal: No Solution
Exploring Operation: 73*9=657, Resulting Numbers: [657]
657,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[11, 71], Operations: ['8-6=2', '73-2=71']
Exploring Operation: 71-11=60, Resulting Numbers: [60]
60,81 unequal: No Solution
Exploring Operation: 11+71=82, Resulting Numbers: [82]
82,81 unequal: No Solution
Exploring Operation: 11*71=781, Resulting Numbers: [781]
781,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
95,
76,
82,
69
] | 91 | [
"95-82=13",
"76-69=7",
"13*7=91"
] | Current State: 91:[95, 76, 82, 69], Operations: []
Exploring Operation: 95-82=13, Resulting Numbers: [76, 69, 13]
Generated Node #2: [76, 69, 13] from Operation: 95-82=13
Current State: 91:[76, 69, 13], Operations: ['95-82=13']
Exploring Operation: 76-69=7, Resulting Numbers: [13, 7]
Generated Node #3: [13, 7] from Operation: 76-69=7
Current State: 91:[13, 7], Operations: ['95-82=13', '76-69=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[95, 76, 82, 69], Operations: []
Exploring Operation: 95-76=19, Resulting Numbers: [82, 69, 19]
Generated Node #0,0: 91:[82, 69, 19] Operation: 95-76=19
Exploring Operation: 82-69=13, Resulting Numbers: [95, 76, 13]
Generated Node #0,1: 91:[95, 76, 13] Operation: 82-69=13
Exploring Operation: 82-76=6, Resulting Numbers: [95, 69, 6]
Generated Node #0,2: 91:[95, 69, 6] Operation: 82-76=6
Exploring Operation: 76-69=7, Resulting Numbers: [95, 82, 7]
Generated Node #0,3: 91:[95, 82, 7] Operation: 76-69=7
Exploring Operation: 95-82=13, Resulting Numbers: [76, 69, 13]
Generated Node #0,4: 91:[76, 69, 13] Operation: 95-82=13
Moving to Node #0,3
Current State: 91:[95, 82, 7], Operations: ['76-69=7']
Exploring Operation: 82+7=89, Resulting Numbers: [95, 89]
Generated Node #0,3,0: 91:[95, 89] Operation: 82+7=89
Exploring Operation: 95+7=102, Resulting Numbers: [82, 102]
Generated Node #0,3,1: 91:[82, 102] Operation: 95+7=102
Exploring Operation: 95-7=88, Resulting Numbers: [82, 88]
Generated Node #0,3,2: 91:[82, 88] Operation: 95-7=88
Exploring Operation: 82-7=75, Resulting Numbers: [95, 75]
Generated Node #0,3,3: 91:[95, 75] Operation: 82-7=75
Exploring Operation: 95-82=13, Resulting Numbers: [7, 13]
Generated Node #0,3,4: 91:[7, 13] Operation: 95-82=13
Moving to Node #0,1
Current State: 91:[95, 76, 13], Operations: ['82-69=13']
Exploring Operation: 76+13=89, Resulting Numbers: [95, 89]
Generated Node #0,1,0: 91:[95, 89] Operation: 76+13=89
Exploring Operation: 95+13=108, Resulting Numbers: [76, 108]
Generated Node #0,1,1: 91:[76, 108] Operation: 95+13=108
Exploring Operation: 76-13=63, Resulting Numbers: [95, 63]
Generated Node #0,1,2: 91:[95, 63] Operation: 76-13=63
Exploring Operation: 95-76=19, Resulting Numbers: [13, 19]
Generated Node #0,1,3: 91:[13, 19] Operation: 95-76=19
Exploring Operation: 95-13=82, Resulting Numbers: [76, 82]
Generated Node #0,1,4: 91:[76, 82] Operation: 95-13=82
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 91:[95, 89], Operations: ['82-69=13', '76+13=89']
Exploring Operation: 95-89=6, Resulting Numbers: [6]
6,91 unequal: No Solution
Exploring Operation: 95*89=8455, Resulting Numbers: [8455]
8455,91 unequal: No Solution
Exploring Operation: 95+89=184, Resulting Numbers: [184]
184,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 91:[13, 19], Operations: ['82-69=13', '95-76=19']
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,91 unequal: No Solution
Exploring Operation: 13+19=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 13*19=247, Resulting Numbers: [247]
247,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 91:[76, 82], Operations: ['82-69=13', '95-13=82']
Exploring Operation: 76+82=158, Resulting Numbers: [158]
158,91 unequal: No Solution
Exploring Operation: 82-76=6, Resulting Numbers: [6]
6,91 unequal: No Solution
Exploring Operation: 76*82=6232, Resulting Numbers: [6232]
6232,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 91:[76, 108], Operations: ['82-69=13', '95+13=108']
Exploring Operation: 108-76=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 76*108=8208, Resulting Numbers: [8208]
8208,91 unequal: No Solution
Exploring Operation: 76+108=184, Resulting Numbers: [184]
184,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 91:[95, 63], Operations: ['82-69=13', '76-13=63']
Exploring Operation: 95*63=5985, Resulting Numbers: [5985]
5985,91 unequal: No Solution
Exploring Operation: 95-63=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 95+63=158, Resulting Numbers: [158]
158,91 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: 91:[95, 69, 6], Operations: ['82-76=6']
Exploring Operation: 95-69=26, Resulting Numbers: [6, 26]
Generated Node #0,2,0: 91:[6, 26] Operation: 95-69=26
Exploring Operation: 95-6=89, Resulting Numbers: [69, 89]
Generated Node #0,2,1: 91:[69, 89] Operation: 95-6=89
Exploring Operation: 69-6=63, Resulting Numbers: [95, 63]
Generated Node #0,2,2: 91:[95, 63] Operation: 69-6=63
Exploring Operation: 69+6=75, Resulting Numbers: [95, 75]
Generated Node #0,2,3: 91:[95, 75] Operation: 69+6=75
Exploring Operation: 95+6=101, Resulting Numbers: [69, 101]
Generated Node #0,2,4: 91:[69, 101] Operation: 95+6=101
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 91:[6, 26], Operations: ['82-76=6', '95-69=26']
Exploring Operation: 6*26=156, Resulting Numbers: [156]
156,91 unequal: No Solution
Exploring Operation: 6+26=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 91:[95, 75], Operations: ['82-76=6', '69+6=75']
Exploring Operation: 95+75=170, Resulting Numbers: [170]
170,91 unequal: No Solution
Exploring Operation: 95*75=7125, Resulting Numbers: [7125]
7125,91 unequal: No Solution
Exploring Operation: 95-75=20, Resulting Numbers: [20]
20,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 91:[69, 89], Operations: ['82-76=6', '95-6=89']
Exploring Operation: 69+89=158, Resulting Numbers: [158]
158,91 unequal: No Solution
Exploring Operation: 69*89=6141, Resulting Numbers: [6141]
6141,91 unequal: No Solution
Exploring Operation: 89-69=20, Resulting Numbers: [20]
20,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 91:[95, 63], Operations: ['82-76=6', '69-6=63']
Exploring Operation: 95-63=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 95*63=5985, Resulting Numbers: [5985]
5985,91 unequal: No Solution
Exploring Operation: 95+63=158, Resulting Numbers: [158]
158,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 91:[69, 101], Operations: ['82-76=6', '95+6=101']
Exploring Operation: 69*101=6969, Resulting Numbers: [6969]
6969,91 unequal: No Solution
Exploring Operation: 69+101=170, Resulting Numbers: [170]
170,91 unequal: No Solution
Exploring Operation: 101-69=32, Resulting Numbers: [32]
32,91 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: 91:[82, 69, 19], Operations: ['95-76=19']
Exploring Operation: 82-19=63, Resulting Numbers: [69, 63]
Generated Node #0,0,0: 91:[69, 63] Operation: 82-19=63
Exploring Operation: 69-19=50, Resulting Numbers: [82, 50]
Generated Node #0,0,1: 91:[82, 50] Operation: 69-19=50
Exploring Operation: 82-69=13, Resulting Numbers: [19, 13]
Generated Node #0,0,2: 91:[19, 13] Operation: 82-69=13
Exploring Operation: 69+19=88, Resulting Numbers: [82, 88]
Generated Node #0,0,3: 91:[82, 88] Operation: 69+19=88
Exploring Operation: 82+19=101, Resulting Numbers: [69, 101]
Generated Node #0,0,4: 91:[69, 101] Operation: 82+19=101
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 91:[19, 13], Operations: ['95-76=19', '82-69=13']
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,91 unequal: No Solution
Exploring Operation: 19+13=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 19*13=247, Resulting Numbers: [247]
247,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 91:[82, 88], Operations: ['95-76=19', '69+19=88']
Exploring Operation: 82*88=7216, Resulting Numbers: [7216]
7216,91 unequal: No Solution
Exploring Operation: 82+88=170, Resulting Numbers: [170]
170,91 unequal: No Solution
Exploring Operation: 88-82=6, Resulting Numbers: [6]
6,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 91:[69, 101], Operations: ['95-76=19', '82+19=101']
Exploring Operation: 101-69=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 69*101=6969, Resulting Numbers: [6969]
6969,91 unequal: No Solution
Exploring Operation: 69+101=170, Resulting Numbers: [170]
170,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 91:[82, 50], Operations: ['95-76=19', '69-19=50']
Exploring Operation: 82+50=132, Resulting Numbers: [132]
132,91 unequal: No Solution
Exploring Operation: 82*50=4100, Resulting Numbers: [4100]
4100,91 unequal: No Solution
Exploring Operation: 82-50=32, Resulting Numbers: [32]
32,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[69, 63], Operations: ['95-76=19', '82-19=63']
Exploring Operation: 69+63=132, Resulting Numbers: [132]
132,91 unequal: No Solution
Exploring Operation: 69*63=4347, Resulting Numbers: [4347]
4347,91 unequal: No Solution
Exploring Operation: 69-63=6, Resulting Numbers: [6]
6,91 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: 91:[76, 69, 13], Operations: ['95-82=13']
Exploring Operation: 76+13=89, Resulting Numbers: [69, 89]
Generated Node #0,4,0: 91:[69, 89] Operation: 76+13=89
Exploring Operation: 69-13=56, Resulting Numbers: [76, 56]
Generated Node #0,4,1: 91:[76, 56] Operation: 69-13=56
Exploring Operation: 69+13=82, Resulting Numbers: [76, 82]
Generated Node #0,4,2: 91:[76, 82] Operation: 69+13=82
Exploring Operation: 76-69=7, Resulting Numbers: [13, 7]
Generated Node #0,4,3: 91:[13, 7] Operation: 76-69=7
Exploring Operation: 76-13=63, Resulting Numbers: [69, 63]
Generated Node #0,4,4: 91:[69, 63] Operation: 76-13=63
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 91:[13, 7], Operations: ['95-82=13', '76-69=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[95, 76, 82, 69], Operations: []
Exploring Operation: 95-82=13, Resulting Numbers: [76, 69, 13]
Generated Node #0,4: 91:[76, 69, 13] Operation: 95-82=13
Moving to Node #0,4
Current State: 91:[76, 69, 13], Operations: ['95-82=13']
Exploring Operation: 76-69=7, Resulting Numbers: [13, 7]
Generated Node #0,4,3: 91:[13, 7] Operation: 76-69=7
Moving to Node #0,4,3
Current State: 91:[13, 7], Operations: ['95-82=13', '76-69=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.930556 | hs_5 | mult_heuristic |
[
14,
20,
76,
26
] | 30 | [
"76-20=56",
"56/14=4",
"26+4=30"
] | Current State: 30:[14, 20, 76, 26], Operations: []
Exploring Operation: 76-20=56, Resulting Numbers: [14, 26, 56]
Generated Node #2: [14, 26, 56] from Operation: 76-20=56
Current State: 30:[14, 26, 56], Operations: ['76-20=56']
Exploring Operation: 56/14=4, Resulting Numbers: [26, 4]
Generated Node #3: [26, 4] from Operation: 56/14=4
Current State: 30:[26, 4], Operations: ['76-20=56', '56/14=4']
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[14, 20, 76, 26], Operations: []
Exploring Operation: 76-14=62, Resulting Numbers: [20, 26, 62]
Generated Node #0,0: 30:[20, 26, 62] Operation: 76-14=62
Exploring Operation: 76-20=56, Resulting Numbers: [14, 26, 56]
Generated Node #0,1: 30:[14, 26, 56] Operation: 76-20=56
Exploring Operation: 26-20=6, Resulting Numbers: [14, 76, 6]
Generated Node #0,2: 30:[14, 76, 6] Operation: 26-20=6
Exploring Operation: 76-26=50, Resulting Numbers: [14, 20, 50]
Generated Node #0,3: 30:[14, 20, 50] Operation: 76-26=50
Exploring Operation: 20-14=6, Resulting Numbers: [76, 26, 6]
Generated Node #0,4: 30:[76, 26, 6] Operation: 20-14=6
Moving to Node #0,3
Current State: 30:[14, 20, 50], Operations: ['76-26=50']
Exploring Operation: 14+20=34, Resulting Numbers: [50, 34]
Generated Node #0,3,0: 30:[50, 34] Operation: 14+20=34
Exploring Operation: 20-14=6, Resulting Numbers: [50, 6]
Generated Node #0,3,1: 30:[50, 6] Operation: 20-14=6
Exploring Operation: 14+50=64, Resulting Numbers: [20, 64]
Generated Node #0,3,2: 30:[20, 64] Operation: 14+50=64
Exploring Operation: 50-20=30, Resulting Numbers: [14, 30]
Generated Node #0,3,3: 30:[14, 30] Operation: 50-20=30
Exploring Operation: 50-14=36, Resulting Numbers: [20, 36]
Generated Node #0,3,4: 30:[20, 36] Operation: 50-14=36
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 30:[14, 30], Operations: ['76-26=50', '50-20=30']
Exploring Operation: 14*30=420, Resulting Numbers: [420]
420,30 unequal: No Solution
Exploring Operation: 14+30=44, Resulting Numbers: [44]
44,30 unequal: No Solution
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 30:[20, 36], Operations: ['76-26=50', '50-14=36']
Exploring Operation: 20*36=720, Resulting Numbers: [720]
720,30 unequal: No Solution
Exploring Operation: 20+36=56, Resulting Numbers: [56]
56,30 unequal: No Solution
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 30:[50, 6], Operations: ['76-26=50', '20-14=6']
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,30 unequal: No Solution
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,30 unequal: No Solution
Exploring Operation: 50*6=300, Resulting Numbers: [300]
300,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 30:[50, 34], Operations: ['76-26=50', '14+20=34']
Exploring Operation: 50*34=1700, Resulting Numbers: [1700]
1700,30 unequal: No Solution
Exploring Operation: 50+34=84, Resulting Numbers: [84]
84,30 unequal: No Solution
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 30:[20, 64], Operations: ['76-26=50', '14+50=64']
Exploring Operation: 20*64=1280, Resulting Numbers: [1280]
1280,30 unequal: No Solution
Exploring Operation: 20+64=84, Resulting Numbers: [84]
84,30 unequal: No Solution
Exploring Operation: 64-20=44, Resulting Numbers: [44]
44,30 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: 30:[14, 26, 56], Operations: ['76-20=56']
Exploring Operation: 14+26=40, Resulting Numbers: [56, 40]
Generated Node #0,1,0: 30:[56, 40] Operation: 14+26=40
Exploring Operation: 56-26=30, Resulting Numbers: [14, 30]
Generated Node #0,1,1: 30:[14, 30] Operation: 56-26=30
Exploring Operation: 26-14=12, Resulting Numbers: [56, 12]
Generated Node #0,1,2: 30:[56, 12] Operation: 26-14=12
Exploring Operation: 56-14=42, Resulting Numbers: [26, 42]
Generated Node #0,1,3: 30:[26, 42] Operation: 56-14=42
Exploring Operation: 56/14=4, Resulting Numbers: [26, 4]
Generated Node #0,1,4: 30:[26, 4] Operation: 56/14=4
Moving to Node #0,0
Current State: 30:[20, 26, 62], Operations: ['76-14=62']
Exploring Operation: 62-26=36, Resulting Numbers: [20, 36]
Generated Node #0,0,0: 30:[20, 36] Operation: 62-26=36
Exploring Operation: 62-20=42, Resulting Numbers: [26, 42]
Generated Node #0,0,1: 30:[26, 42] Operation: 62-20=42
Exploring Operation: 26-20=6, Resulting Numbers: [62, 6]
Generated Node #0,0,2: 30:[62, 6] Operation: 26-20=6
Exploring Operation: 20+62=82, Resulting Numbers: [26, 82]
Generated Node #0,0,3: 30:[26, 82] Operation: 20+62=82
Exploring Operation: 20+26=46, Resulting Numbers: [62, 46]
Generated Node #0,0,4: 30:[62, 46] Operation: 20+26=46
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[20, 36], Operations: ['76-14=62', '62-26=36']
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Exploring Operation: 20+36=56, Resulting Numbers: [56]
56,30 unequal: No Solution
Exploring Operation: 20*36=720, Resulting Numbers: [720]
720,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 30:[26, 42], Operations: ['76-14=62', '62-20=42']
Exploring Operation: 26+42=68, Resulting Numbers: [68]
68,30 unequal: No Solution
Exploring Operation: 26*42=1092, Resulting Numbers: [1092]
1092,30 unequal: No Solution
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 30:[62, 6], Operations: ['76-14=62', '26-20=6']
Exploring Operation: 62*6=372, Resulting Numbers: [372]
372,30 unequal: No Solution
Exploring Operation: 62+6=68, Resulting Numbers: [68]
68,30 unequal: No Solution
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 30:[62, 46], Operations: ['76-14=62', '20+26=46']
Exploring Operation: 62+46=108, Resulting Numbers: [108]
108,30 unequal: No Solution
Exploring Operation: 62*46=2852, Resulting Numbers: [2852]
2852,30 unequal: No Solution
Exploring Operation: 62-46=16, Resulting Numbers: [16]
16,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 30:[26, 82], Operations: ['76-14=62', '20+62=82']
Exploring Operation: 82-26=56, Resulting Numbers: [56]
56,30 unequal: No Solution
Exploring Operation: 26*82=2132, Resulting Numbers: [2132]
2132,30 unequal: No Solution
Exploring Operation: 26+82=108, Resulting Numbers: [108]
108,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 30:[14, 76, 6], Operations: ['26-20=6']
Exploring Operation: 76-6=70, Resulting Numbers: [14, 70]
Generated Node #0,2,0: 30:[14, 70] Operation: 76-6=70
Exploring Operation: 76-14=62, Resulting Numbers: [6, 62]
Generated Node #0,2,1: 30:[6, 62] Operation: 76-14=62
Exploring Operation: 14-6=8, Resulting Numbers: [76, 8]
Generated Node #0,2,2: 30:[76, 8] Operation: 14-6=8
Exploring Operation: 76+6=82, Resulting Numbers: [14, 82]
Generated Node #0,2,3: 30:[14, 82] Operation: 76+6=82
Exploring Operation: 14+6=20, Resulting Numbers: [76, 20]
Generated Node #0,2,4: 30:[76, 20] Operation: 14+6=20
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 30:[6, 62], Operations: ['26-20=6', '76-14=62']
Exploring Operation: 6+62=68, Resulting Numbers: [68]
68,30 unequal: No Solution
Exploring Operation: 6*62=372, Resulting Numbers: [372]
372,30 unequal: No Solution
Exploring Operation: 62-6=56, Resulting Numbers: [56]
56,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 30:[14, 70], Operations: ['26-20=6', '76-6=70']
Exploring Operation: 70-14=56, Resulting Numbers: [56]
56,30 unequal: No Solution
Exploring Operation: 70/14=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 14+70=84, Resulting Numbers: [84]
84,30 unequal: No Solution
Exploring Operation: 14*70=980, Resulting Numbers: [980]
980,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 30:[76, 8], Operations: ['26-20=6', '14-6=8']
Exploring Operation: 76*8=608, Resulting Numbers: [608]
608,30 unequal: No Solution
Exploring Operation: 76-8=68, Resulting Numbers: [68]
68,30 unequal: No Solution
Exploring Operation: 76+8=84, Resulting Numbers: [84]
84,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 30:[76, 20], Operations: ['26-20=6', '14+6=20']
Exploring Operation: 76*20=1520, Resulting Numbers: [1520]
1520,30 unequal: No Solution
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,30 unequal: No Solution
Exploring Operation: 76+20=96, Resulting Numbers: [96]
96,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 30:[14, 82], Operations: ['26-20=6', '76+6=82']
Exploring Operation: 14*82=1148, Resulting Numbers: [1148]
1148,30 unequal: No Solution
Exploring Operation: 14+82=96, Resulting Numbers: [96]
96,30 unequal: No Solution
Exploring Operation: 82-14=68, Resulting Numbers: [68]
68,30 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: 30:[76, 26, 6], Operations: ['20-14=6']
Exploring Operation: 76-26=50, Resulting Numbers: [6, 50]
Generated Node #0,4,0: 30:[6, 50] Operation: 76-26=50
Exploring Operation: 26-6=20, Resulting Numbers: [76, 20]
Generated Node #0,4,1: 30:[76, 20] Operation: 26-6=20
Exploring Operation: 76-6=70, Resulting Numbers: [26, 70]
Generated Node #0,4,2: 30:[26, 70] Operation: 76-6=70
Exploring Operation: 26+6=32, Resulting Numbers: [76, 32]
Generated Node #0,4,3: 30:[76, 32] Operation: 26+6=32
Exploring Operation: 76+6=82, Resulting Numbers: [26, 82]
Generated Node #0,4,4: 30:[26, 82] Operation: 76+6=82
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 30:[6, 50], Operations: ['20-14=6', '76-26=50']
Exploring Operation: 6*50=300, Resulting Numbers: [300]
300,30 unequal: No Solution
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,30 unequal: No Solution
Exploring Operation: 6+50=56, Resulting Numbers: [56]
56,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 30:[26, 70], Operations: ['20-14=6', '76-6=70']
Exploring Operation: 26*70=1820, Resulting Numbers: [1820]
1820,30 unequal: No Solution
Exploring Operation: 26+70=96, Resulting Numbers: [96]
96,30 unequal: No Solution
Exploring Operation: 70-26=44, Resulting Numbers: [44]
44,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 30:[76, 32], Operations: ['20-14=6', '26+6=32']
Exploring Operation: 76+32=108, Resulting Numbers: [108]
108,30 unequal: No Solution
Exploring Operation: 76*32=2432, Resulting Numbers: [2432]
2432,30 unequal: No Solution
Exploring Operation: 76-32=44, Resulting Numbers: [44]
44,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 30:[76, 20], Operations: ['20-14=6', '26-6=20']
Exploring Operation: 76+20=96, Resulting Numbers: [96]
96,30 unequal: No Solution
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,30 unequal: No Solution
Exploring Operation: 76*20=1520, Resulting Numbers: [1520]
1520,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 30:[26, 82], Operations: ['20-14=6', '76+6=82']
Exploring Operation: 82-26=56, Resulting Numbers: [56]
56,30 unequal: No Solution
Exploring Operation: 26+82=108, Resulting Numbers: [108]
108,30 unequal: No Solution
Exploring Operation: 26*82=2132, Resulting Numbers: [2132]
2132,30 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: 30:[14, 30], Operations: ['76-20=56', '56-26=30']
Exploring Operation: 14*30=420, Resulting Numbers: [420]
420,30 unequal: No Solution
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Exploring Operation: 14+30=44, Resulting Numbers: [44]
44,30 unequal: No Solution
Moving to Node #0,1,4
Current State: 30:[26, 4], Operations: ['76-20=56', '56/14=4']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,30 unequal: No Solution
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[14, 20, 76, 26], Operations: []
Exploring Operation: 76-20=56, Resulting Numbers: [14, 26, 56]
Generated Node #0,1: 30:[14, 26, 56] Operation: 76-20=56
Moving to Node #0,1
Current State: 30:[14, 26, 56], Operations: ['76-20=56']
Exploring Operation: 56/14=4, Resulting Numbers: [26, 4]
Generated Node #0,1,4: 30:[26, 4] Operation: 56/14=4
Moving to Node #0,1,4
Current State: 30:[26, 4], Operations: ['76-20=56', '56/14=4']
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 0.913194 | hs_5 | sum_heuristic |
[
46,
46,
63,
82
] | 63 | [
"46-46=0",
"82*0=0",
"63+0=63"
] | Current State: 63:[46, 46, 63, 82], Operations: []
Exploring Operation: 46-46=0, Resulting Numbers: [63, 82, 0]
Generated Node #2: [63, 82, 0] from Operation: 46-46=0
Current State: 63:[63, 82, 0], Operations: ['46-46=0']
Exploring Operation: 82*0=0, Resulting Numbers: [63, 0]
Generated Node #3: [63, 0] from Operation: 82*0=0
Current State: 63:[63, 0], Operations: ['46-46=0', '82*0=0']
Exploring Operation: 63+0=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[46, 46, 63, 82], Operations: []
Exploring Operation: 46-46=0, Resulting Numbers: [63, 82, 0]
Generated Node #0,0: 63:[63, 82, 0] Operation: 46-46=0
Exploring Operation: 46/46=1, Resulting Numbers: [63, 82, 1]
Generated Node #0,1: 63:[63, 82, 1] Operation: 46/46=1
Exploring Operation: 82-46=36, Resulting Numbers: [46, 63, 36]
Generated Node #0,2: 63:[46, 63, 36] Operation: 82-46=36
Moving to Node #0,1
Current State: 63:[63, 82, 1], Operations: ['46/46=1']
Exploring Operation: 82-63=19, Resulting Numbers: [1, 19]
Generated Node #0,1,0: 63:[1, 19] Operation: 82-63=19
Exploring Operation: 63*1=63, Resulting Numbers: [82, 63]
Generated Node #0,1,1: 63:[82, 63] Operation: 63*1=63
Exploring Operation: 82-1=81, Resulting Numbers: [63, 81]
Generated Node #0,1,2: 63:[63, 81] Operation: 82-1=81
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 63:[1, 19], Operations: ['46/46=1', '82-63=19']
Exploring Operation: 1+19=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,63 unequal: No Solution
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,63 unequal: No Solution
No solution 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: 63:[63, 81], Operations: ['46/46=1', '82-1=81']
Exploring Operation: 81-63=18, Resulting Numbers: [18]
18,63 unequal: No Solution
Exploring Operation: 63*81=5103, Resulting Numbers: [5103]
5103,63 unequal: No Solution
Exploring Operation: 63+81=144, Resulting Numbers: [144]
144,63 unequal: No Solution
No solution 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: 63:[82, 63], Operations: ['46/46=1', '63*1=63']
Exploring Operation: 82*63=5166, Resulting Numbers: [5166]
5166,63 unequal: No Solution
Exploring Operation: 82-63=19, Resulting Numbers: [19]
19,63 unequal: No Solution
Exploring Operation: 82+63=145, Resulting Numbers: [145]
145,63 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: 63:[63, 82, 0], Operations: ['46-46=0']
Exploring Operation: 63+0=63, Resulting Numbers: [82, 63]
Generated Node #0,0,0: 63:[82, 63] Operation: 63+0=63
Exploring Operation: 82*0=0, Resulting Numbers: [63, 0]
Generated Node #0,0,1: 63:[63, 0] Operation: 82*0=0
Exploring Operation: 82-63=19, Resulting Numbers: [0, 19]
Generated Node #0,0,2: 63:[0, 19] Operation: 82-63=19
Moving to Node #0,2
Current State: 63:[46, 63, 36], Operations: ['82-46=36']
Exploring Operation: 46+36=82, Resulting Numbers: [63, 82]
Generated Node #0,2,0: 63:[63, 82] Operation: 46+36=82
Exploring Operation: 63-46=17, Resulting Numbers: [36, 17]
Generated Node #0,2,1: 63:[36, 17] Operation: 63-46=17
Exploring Operation: 46-36=10, Resulting Numbers: [63, 10]
Generated Node #0,2,2: 63:[63, 10] Operation: 46-36=10
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 63:[63, 10], Operations: ['82-46=36', '46-36=10']
Exploring Operation: 63-10=53, Resulting Numbers: [53]
53,63 unequal: No Solution
Exploring Operation: 63*10=630, Resulting Numbers: [630]
630,63 unequal: No Solution
Exploring Operation: 63+10=73, Resulting Numbers: [73]
73,63 unequal: No Solution
No 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: 63:[63, 82], Operations: ['82-46=36', '46+36=82']
Exploring Operation: 63*82=5166, Resulting Numbers: [5166]
5166,63 unequal: No Solution
Exploring Operation: 63+82=145, Resulting Numbers: [145]
145,63 unequal: No Solution
Exploring Operation: 82-63=19, Resulting Numbers: [19]
19,63 unequal: No Solution
No 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: 63:[36, 17], Operations: ['82-46=36', '63-46=17']
Exploring Operation: 36+17=53, Resulting Numbers: [53]
53,63 unequal: No Solution
Exploring Operation: 36*17=612, Resulting Numbers: [612]
612,63 unequal: No Solution
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 63:[63, 0], Operations: ['46-46=0', '82*0=0']
Exploring Operation: 63-0=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[46, 46, 63, 82], Operations: []
Exploring Operation: 46-46=0, Resulting Numbers: [63, 82, 0]
Generated Node #0,0: 63:[63, 82, 0] Operation: 46-46=0
Moving to Node #0,0
Current State: 63:[63, 82, 0], Operations: ['46-46=0']
Exploring Operation: 82*0=0, Resulting Numbers: [63, 0]
Generated Node #0,0,1: 63:[63, 0] Operation: 82*0=0
Moving to Node #0,0,1
Current State: 63:[63, 0], Operations: ['46-46=0', '82*0=0']
Exploring Operation: 63-0=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 0.969618 | hs_3 | sum_heuristic |
[
83,
98,
69,
19
] | 26 | [
"83-69=14",
"98/14=7",
"19+7=26"
] | Current State: 26:[83, 98, 69, 19], Operations: []
Exploring Operation: 83-69=14, Resulting Numbers: [98, 19, 14]
Generated Node #2: [98, 19, 14] from Operation: 83-69=14
Current State: 26:[98, 19, 14], Operations: ['83-69=14']
Exploring Operation: 98/14=7, Resulting Numbers: [19, 7]
Generated Node #3: [19, 7] from Operation: 98/14=7
Current State: 26:[19, 7], Operations: ['83-69=14', '98/14=7']
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[83, 98, 69, 19], Operations: []
Exploring Operation: 98-83=15, Resulting Numbers: [69, 19, 15]
Generated Node #0,0: 26:[69, 19, 15] Operation: 98-83=15
Moving to Node #0,0
Current State: 26:[69, 19, 15], Operations: ['98-83=15']
Exploring Operation: 69-19=50, Resulting Numbers: [15, 50]
Generated Node #0,0,0: 26:[15, 50] Operation: 69-19=50
Moving to Node #0,0,0
Current State: 26:[15, 50], Operations: ['98-83=15', '69-19=50']
Exploring Operation: 50-15=35, Resulting Numbers: [35]
35,26 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
27,
99,
94,
15
] | 39 | [
"99*15=1485",
"1485/27=55",
"94-55=39"
] | Current State: 39:[27, 99, 94, 15], Operations: []
Exploring Operation: 99*15=1485, Resulting Numbers: [27, 94, 1485]
Generated Node #2: [27, 94, 1485] from Operation: 99*15=1485
Current State: 39:[27, 94, 1485], Operations: ['99*15=1485']
Exploring Operation: 1485/27=55, Resulting Numbers: [94, 55]
Generated Node #3: [94, 55] from Operation: 1485/27=55
Current State: 39:[94, 55], Operations: ['99*15=1485', '1485/27=55']
Exploring Operation: 94-55=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[27, 99, 94, 15], Operations: []
Exploring Operation: 99-15=84, Resulting Numbers: [27, 94, 84]
Generated Node #0,0: 39:[27, 94, 84] Operation: 99-15=84
Exploring Operation: 99-94=5, Resulting Numbers: [27, 15, 5]
Generated Node #0,1: 39:[27, 15, 5] Operation: 99-94=5
Exploring Operation: 99-27=72, Resulting Numbers: [94, 15, 72]
Generated Node #0,2: 39:[94, 15, 72] Operation: 99-27=72
Exploring Operation: 94-27=67, Resulting Numbers: [99, 15, 67]
Generated Node #0,3: 39:[99, 15, 67] Operation: 94-27=67
Exploring Operation: 94-15=79, Resulting Numbers: [27, 99, 79]
Generated Node #0,4: 39:[27, 99, 79] Operation: 94-15=79
Moving to Node #0,1
Current State: 39:[27, 15, 5], Operations: ['99-94=5']
Exploring Operation: 27+15=42, Resulting Numbers: [5, 42]
Generated Node #0,1,0: 39:[5, 42] Operation: 27+15=42
Exploring Operation: 27-15=12, Resulting Numbers: [5, 12]
Generated Node #0,1,1: 39:[5, 12] Operation: 27-15=12
Exploring Operation: 27+5=32, Resulting Numbers: [15, 32]
Generated Node #0,1,2: 39:[15, 32] Operation: 27+5=32
Exploring Operation: 27-5=22, Resulting Numbers: [15, 22]
Generated Node #0,1,3: 39:[15, 22] Operation: 27-5=22
Exploring Operation: 15/5=3, Resulting Numbers: [27, 3]
Generated Node #0,1,4: 39:[27, 3] Operation: 15/5=3
Moving to Node #0,3
Current State: 39:[99, 15, 67], Operations: ['94-27=67']
Exploring Operation: 15+67=82, Resulting Numbers: [99, 82]
Generated Node #0,3,0: 39:[99, 82] Operation: 15+67=82
Exploring Operation: 99-15=84, Resulting Numbers: [67, 84]
Generated Node #0,3,1: 39:[67, 84] Operation: 99-15=84
Exploring Operation: 67-15=52, Resulting Numbers: [99, 52]
Generated Node #0,3,2: 39:[99, 52] Operation: 67-15=52
Exploring Operation: 99+15=114, Resulting Numbers: [67, 114]
Generated Node #0,3,3: 39:[67, 114] Operation: 99+15=114
Exploring Operation: 99-67=32, Resulting Numbers: [15, 32]
Generated Node #0,3,4: 39:[15, 32] Operation: 99-67=32
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 39:[15, 32], Operations: ['94-27=67', '99-67=32']
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,39 unequal: No Solution
Exploring Operation: 15+32=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 15*32=480, Resulting Numbers: [480]
480,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 39:[67, 84], Operations: ['94-27=67', '99-15=84']
Exploring Operation: 67+84=151, Resulting Numbers: [151]
151,39 unequal: No Solution
Exploring Operation: 67*84=5628, Resulting Numbers: [5628]
5628,39 unequal: No Solution
Exploring Operation: 84-67=17, Resulting Numbers: [17]
17,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 39:[99, 52], Operations: ['94-27=67', '67-15=52']
Exploring Operation: 99*52=5148, Resulting Numbers: [5148]
5148,39 unequal: No Solution
Exploring Operation: 99-52=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 99+52=151, Resulting Numbers: [151]
151,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 39:[99, 82], Operations: ['94-27=67', '15+67=82']
Exploring Operation: 99-82=17, Resulting Numbers: [17]
17,39 unequal: No Solution
Exploring Operation: 99*82=8118, Resulting Numbers: [8118]
8118,39 unequal: No Solution
Exploring Operation: 99+82=181, Resulting Numbers: [181]
181,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 39:[67, 114], Operations: ['94-27=67', '99+15=114']
Exploring Operation: 114-67=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 67*114=7638, Resulting Numbers: [7638]
7638,39 unequal: No Solution
Exploring Operation: 67+114=181, Resulting Numbers: [181]
181,39 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: 39:[94, 15, 72], Operations: ['99-27=72']
Exploring Operation: 94-15=79, Resulting Numbers: [72, 79]
Generated Node #0,2,0: 39:[72, 79] Operation: 94-15=79
Exploring Operation: 94+15=109, Resulting Numbers: [72, 109]
Generated Node #0,2,1: 39:[72, 109] Operation: 94+15=109
Exploring Operation: 94-72=22, Resulting Numbers: [15, 22]
Generated Node #0,2,2: 39:[15, 22] Operation: 94-72=22
Exploring Operation: 15+72=87, Resulting Numbers: [94, 87]
Generated Node #0,2,3: 39:[94, 87] Operation: 15+72=87
Exploring Operation: 72-15=57, Resulting Numbers: [94, 57]
Generated Node #0,2,4: 39:[94, 57] Operation: 72-15=57
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 39:[15, 22], Operations: ['99-27=72', '94-72=22']
Exploring Operation: 15+22=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 15*22=330, Resulting Numbers: [330]
330,39 unequal: No Solution
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 39:[72, 79], Operations: ['99-27=72', '94-15=79']
Exploring Operation: 79-72=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Exploring Operation: 72+79=151, Resulting Numbers: [151]
151,39 unequal: No Solution
Exploring Operation: 72*79=5688, Resulting Numbers: [5688]
5688,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 39:[94, 57], Operations: ['99-27=72', '72-15=57']
Exploring Operation: 94+57=151, Resulting Numbers: [151]
151,39 unequal: No Solution
Exploring Operation: 94-57=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 94*57=5358, Resulting Numbers: [5358]
5358,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 39:[72, 109], Operations: ['99-27=72', '94+15=109']
Exploring Operation: 109-72=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 72+109=181, Resulting Numbers: [181]
181,39 unequal: No Solution
Exploring Operation: 72*109=7848, Resulting Numbers: [7848]
7848,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 39:[94, 87], Operations: ['99-27=72', '15+72=87']
Exploring Operation: 94+87=181, Resulting Numbers: [181]
181,39 unequal: No Solution
Exploring Operation: 94*87=8178, Resulting Numbers: [8178]
8178,39 unequal: No Solution
Exploring Operation: 94-87=7, Resulting Numbers: [7]
7,39 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: 39:[27, 94, 84], Operations: ['99-15=84']
Exploring Operation: 84-27=57, Resulting Numbers: [94, 57]
Generated Node #0,0,0: 39:[94, 57] Operation: 84-27=57
Exploring Operation: 27+94=121, Resulting Numbers: [84, 121]
Generated Node #0,0,1: 39:[84, 121] Operation: 27+94=121
Exploring Operation: 94-27=67, Resulting Numbers: [84, 67]
Generated Node #0,0,2: 39:[84, 67] Operation: 94-27=67
Exploring Operation: 94-84=10, Resulting Numbers: [27, 10]
Generated Node #0,0,3: 39:[27, 10] Operation: 94-84=10
Exploring Operation: 27+84=111, Resulting Numbers: [94, 111]
Generated Node #0,0,4: 39:[94, 111] Operation: 27+84=111
Moving to Node #0,4
Current State: 39:[27, 99, 79], Operations: ['94-15=79']
Exploring Operation: 79-27=52, Resulting Numbers: [99, 52]
Generated Node #0,4,0: 39:[99, 52] Operation: 79-27=52
Exploring Operation: 27+99=126, Resulting Numbers: [79, 126]
Generated Node #0,4,1: 39:[79, 126] Operation: 27+99=126
Exploring Operation: 99-27=72, Resulting Numbers: [79, 72]
Generated Node #0,4,2: 39:[79, 72] Operation: 99-27=72
Exploring Operation: 99-79=20, Resulting Numbers: [27, 20]
Generated Node #0,4,3: 39:[27, 20] Operation: 99-79=20
Exploring Operation: 27+79=106, Resulting Numbers: [99, 106]
Generated Node #0,4,4: 39:[99, 106] Operation: 27+79=106
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 39:[27, 20], Operations: ['94-15=79', '99-79=20']
Exploring Operation: 27+20=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 27*20=540, Resulting Numbers: [540]
540,39 unequal: No Solution
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 39:[99, 52], Operations: ['94-15=79', '79-27=52']
Exploring Operation: 99*52=5148, Resulting Numbers: [5148]
5148,39 unequal: No Solution
Exploring Operation: 99+52=151, Resulting Numbers: [151]
151,39 unequal: No Solution
Exploring Operation: 99-52=47, Resulting Numbers: [47]
47,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 39:[79, 72], Operations: ['94-15=79', '99-27=72']
Exploring Operation: 79-72=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Exploring Operation: 79*72=5688, Resulting Numbers: [5688]
5688,39 unequal: No Solution
Exploring Operation: 79+72=151, Resulting Numbers: [151]
151,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 39:[79, 126], Operations: ['94-15=79', '27+99=126']
Exploring Operation: 126-79=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 79*126=9954, Resulting Numbers: [9954]
9954,39 unequal: No Solution
Exploring Operation: 79+126=205, Resulting Numbers: [205]
205,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 39:[99, 106], Operations: ['94-15=79', '27+79=106']
Exploring Operation: 106-99=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Exploring Operation: 99*106=10494, Resulting Numbers: [10494]
10494,39 unequal: No Solution
Exploring Operation: 99+106=205, Resulting Numbers: [205]
205,39 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: 39:[5, 12], Operations: ['99-94=5', '27-15=12']
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,39 unequal: No Solution
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,39 unequal: No Solution
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[5, 42], Operations: ['99-94=5', '27+15=42']
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 5+42=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 5*42=210, Resulting Numbers: [210]
210,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[15, 32], Operations: ['99-94=5', '27+5=32']
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,39 unequal: No Solution
Exploring Operation: 15*32=480, Resulting Numbers: [480]
480,39 unequal: No Solution
Exploring Operation: 15+32=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Moving to Node #0,1,3
Current State: 39:[15, 22], Operations: ['99-94=5', '27-5=22']
Exploring Operation: 15*22=330, Resulting Numbers: [330]
330,39 unequal: No Solution
Exploring Operation: 15+22=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 22-15=7, Resulting Numbers: [7]
7,39 unequal: No Solution
Moving to Node #0,1,4
Current State: 39:[27, 3], Operations: ['99-94=5', '15/5=3']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,39 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,39 unequal: No Solution
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,39 unequal: No Solution
Moving to Node #0,0,3
Current State: 39:[27, 10], Operations: ['99-15=84', '94-84=10']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,39 unequal: No Solution
Exploring Operation: 27*10=270, Resulting Numbers: [270]
270,39 unequal: No Solution
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Moving to Node #0,0,2
Current State: 39:[84, 67], Operations: ['99-15=84', '94-27=67']
Exploring Operation: 84*67=5628, Resulting Numbers: [5628]
5628,39 unequal: No Solution
Exploring Operation: 84+67=151, Resulting Numbers: [151]
151,39 unequal: No Solution
Exploring Operation: 84-67=17, Resulting Numbers: [17]
17,39 unequal: No Solution
Moving to Node #0,0,0
Current State: 39:[94, 57], Operations: ['99-15=84', '84-27=57']
Exploring Operation: 94-57=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 94*57=5358, Resulting Numbers: [5358]
5358,39 unequal: No Solution
Exploring Operation: 94+57=151, Resulting Numbers: [151]
151,39 unequal: No Solution
Moving to Node #0,0,4
Current State: 39:[94, 111], Operations: ['99-15=84', '27+84=111']
Exploring Operation: 111-94=17, Resulting Numbers: [17]
17,39 unequal: No Solution
Exploring Operation: 94*111=10434, Resulting Numbers: [10434]
10434,39 unequal: No Solution
Exploring Operation: 94+111=205, Resulting Numbers: [205]
205,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[84, 121], Operations: ['99-15=84', '27+94=121']
Exploring Operation: 121-84=37, Resulting Numbers: [37]
37,39 unequal: No Solution
Exploring Operation: 84+121=205, Resulting Numbers: [205]
205,39 unequal: No Solution
Exploring Operation: 84*121=10164, Resulting Numbers: [10164]
10164,39 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
52,
3,
31,
57
] | 23 | [
"52-3=49",
"57-31=26",
"49-26=23"
] | Current State: 23:[52, 3, 31, 57], Operations: []
Exploring Operation: 52-3=49, Resulting Numbers: [31, 57, 49]
Generated Node #2: [31, 57, 49] from Operation: 52-3=49
Current State: 23:[31, 57, 49], Operations: ['52-3=49']
Exploring Operation: 57-31=26, Resulting Numbers: [49, 26]
Generated Node #3: [49, 26] from Operation: 57-31=26
Current State: 23:[49, 26], Operations: ['52-3=49', '57-31=26']
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[52, 3, 31, 57], Operations: []
Exploring Operation: 52-3=49, Resulting Numbers: [31, 57, 49]
Generated Node #0,0: 23:[31, 57, 49] Operation: 52-3=49
Exploring Operation: 57-52=5, Resulting Numbers: [3, 31, 5]
Generated Node #0,1: 23:[3, 31, 5] Operation: 57-52=5
Exploring Operation: 52-31=21, Resulting Numbers: [3, 57, 21]
Generated Node #0,2: 23:[3, 57, 21] Operation: 52-31=21
Exploring Operation: 57-31=26, Resulting Numbers: [52, 3, 26]
Generated Node #0,3: 23:[52, 3, 26] Operation: 57-31=26
Exploring Operation: 57/3=19, Resulting Numbers: [52, 31, 19]
Generated Node #0,4: 23:[52, 31, 19] Operation: 57/3=19
Start Sub Search at level 1: Moving to Node #0,4
Current State: 23:[52, 31, 19], Operations: ['57/3=19']
Exploring Operation: 52+19=71, Resulting Numbers: [31, 71]
Generated Node #0,4,0: 23:[31, 71] Operation: 52+19=71
Exploring Operation: 52-31=21, Resulting Numbers: [19, 21]
Generated Node #0,4,1: 23:[19, 21] Operation: 52-31=21
Exploring Operation: 31+19=50, Resulting Numbers: [52, 50]
Generated Node #0,4,2: 23:[52, 50] Operation: 31+19=50
Exploring Operation: 52-19=33, Resulting Numbers: [31, 33]
Generated Node #0,4,3: 23:[31, 33] Operation: 52-19=33
Exploring Operation: 31-19=12, Resulting Numbers: [52, 12]
Generated Node #0,4,4: 23:[52, 12] Operation: 31-19=12
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 23:[19, 21], Operations: ['57/3=19', '52-31=21']
Exploring Operation: 19*21=399, Resulting Numbers: [399]
399,23 unequal: No Solution
Exploring Operation: 21-19=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 19+21=40, Resulting Numbers: [40]
40,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 23:[31, 33], Operations: ['57/3=19', '52-19=33']
Exploring Operation: 33-31=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 31*33=1023, Resulting Numbers: [1023]
1023,23 unequal: No Solution
Exploring Operation: 31+33=64, Resulting Numbers: [64]
64,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 23:[52, 12], Operations: ['57/3=19', '31-19=12']
Exploring Operation: 52-12=40, Resulting Numbers: [40]
40,23 unequal: No Solution
Exploring Operation: 52+12=64, Resulting Numbers: [64]
64,23 unequal: No Solution
Exploring Operation: 52*12=624, Resulting Numbers: [624]
624,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 23:[31, 71], Operations: ['57/3=19', '52+19=71']
Exploring Operation: 71-31=40, Resulting Numbers: [40]
40,23 unequal: No Solution
Exploring Operation: 31+71=102, Resulting Numbers: [102]
102,23 unequal: No Solution
Exploring Operation: 31*71=2201, Resulting Numbers: [2201]
2201,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 23:[52, 50], Operations: ['57/3=19', '31+19=50']
Exploring Operation: 52+50=102, Resulting Numbers: [102]
102,23 unequal: No Solution
Exploring Operation: 52*50=2600, Resulting Numbers: [2600]
2600,23 unequal: No Solution
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 23:[3, 31, 5], Operations: ['57-52=5']
Exploring Operation: 31-3=28, Resulting Numbers: [5, 28]
Generated Node #0,1,0: 23:[5, 28] Operation: 31-3=28
Exploring Operation: 3*5=15, Resulting Numbers: [31, 15]
Generated Node #0,1,1: 23:[31, 15] Operation: 3*5=15
Exploring Operation: 31-5=26, Resulting Numbers: [3, 26]
Generated Node #0,1,2: 23:[3, 26] Operation: 31-5=26
Exploring Operation: 3+31=34, Resulting Numbers: [5, 34]
Generated Node #0,1,3: 23:[5, 34] Operation: 3+31=34
Exploring Operation: 3+5=8, Resulting Numbers: [31, 8]
Generated Node #0,1,4: 23:[31, 8] Operation: 3+5=8
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 23:[31, 15], Operations: ['57-52=5', '3*5=15']
Exploring Operation: 31-15=16, Resulting Numbers: [16]
16,23 unequal: No Solution
Exploring Operation: 31+15=46, Resulting Numbers: [46]
46,23 unequal: No Solution
Exploring Operation: 31*15=465, Resulting Numbers: [465]
465,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 23:[5, 28], Operations: ['57-52=5', '31-3=28']
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,23 unequal: No Solution
Exploring Operation: 5*28=140, Resulting Numbers: [140]
140,23 unequal: No Solution
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[52, 3, 31, 57], Operations: []
Exploring Operation: 57-52=5, Resulting Numbers: [3, 31, 5]
Generated Node #0,1: 23:[3, 31, 5] Operation: 57-52=5
Moving to Node #0,1
Current State: 23:[3, 31, 5], Operations: ['57-52=5']
Exploring Operation: 31-3=28, Resulting Numbers: [5, 28]
Generated Node #0,1,0: 23:[5, 28] Operation: 31-3=28
Moving to Node #0,1,0
Current State: 23:[5, 28], Operations: ['57-52=5', '31-3=28']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.965278 | hs_5 | sum_heuristic |
[
29,
84,
14,
64
] | 23 | [
"84-29=55",
"14+64=78",
"78-55=23"
] | Current State: 23:[29, 84, 14, 64], Operations: []
Exploring Operation: 84-29=55, Resulting Numbers: [14, 64, 55]
Generated Node #2: [14, 64, 55] from Operation: 84-29=55
Current State: 23:[14, 64, 55], Operations: ['84-29=55']
Exploring Operation: 14+64=78, Resulting Numbers: [55, 78]
Generated Node #3: [55, 78] from Operation: 14+64=78
Current State: 23:[55, 78], Operations: ['84-29=55', '14+64=78']
Exploring Operation: 78-55=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[29, 84, 14, 64], Operations: []
Exploring Operation: 84-64=20, Resulting Numbers: [29, 14, 20]
Generated Node #0,0: 23:[29, 14, 20] Operation: 84-64=20
Exploring Operation: 84/14=6, Resulting Numbers: [29, 64, 6]
Generated Node #0,1: 23:[29, 64, 6] Operation: 84/14=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 23:[29, 14, 20], Operations: ['84-64=20']
Exploring Operation: 29-14=15, Resulting Numbers: [20, 15]
Generated Node #0,0,0: 23:[20, 15] Operation: 29-14=15
Exploring Operation: 14+20=34, Resulting Numbers: [29, 34]
Generated Node #0,0,1: 23:[29, 34] Operation: 14+20=34
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 23:[20, 15], Operations: ['84-64=20', '29-14=15']
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,23 unequal: No Solution
Exploring Operation: 20+15=35, Resulting Numbers: [35]
35,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 23:[29, 34], Operations: ['84-64=20', '14+20=34']
Exploring Operation: 29+34=63, Resulting Numbers: [63]
63,23 unequal: No Solution
Exploring Operation: 34-29=5, Resulting Numbers: [5]
5,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 23:[29, 64, 6], Operations: ['84/14=6']
Exploring Operation: 64-29=35, Resulting Numbers: [6, 35]
Generated Node #0,1,0: 23:[6, 35] Operation: 64-29=35
Exploring Operation: 29-6=23, Resulting Numbers: [64, 23]
Generated Node #0,1,1: 23:[64, 23] Operation: 29-6=23
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 23:[6, 35], Operations: ['84/14=6', '64-29=35']
Exploring Operation: 6+35=41, Resulting Numbers: [41]
41,23 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 23:[64, 23], Operations: ['84/14=6', '29-6=23']
Exploring Operation: 64+23=87, Resulting Numbers: [87]
87,23 unequal: No Solution
Exploring Operation: 64-23=41, Resulting Numbers: [41]
41,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
1,
28,
28,
40
] | 42 | [
"1+40=41",
"28/28=1",
"41+1=42"
] | Current State: 42:[1, 28, 28, 40], Operations: []
Exploring Operation: 1+40=41, Resulting Numbers: [28, 28, 41]
Generated Node #2: [28, 28, 41] from Operation: 1+40=41
Current State: 42:[28, 28, 41], Operations: ['1+40=41']
Exploring Operation: 28/28=1, Resulting Numbers: [41, 1]
Generated Node #3: [41, 1] from Operation: 28/28=1
Current State: 42:[41, 1], Operations: ['1+40=41', '28/28=1']
Exploring Operation: 41+1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[1, 28, 28, 40], Operations: []
Exploring Operation: 28-1=27, Resulting Numbers: [28, 40, 27]
Generated Node #0,0: 42:[28, 40, 27] Operation: 28-1=27
Exploring Operation: 40-28=12, Resulting Numbers: [1, 28, 12]
Generated Node #0,1: 42:[1, 28, 12] Operation: 40-28=12
Exploring Operation: 28/28=1, Resulting Numbers: [1, 40, 1]
Generated Node #0,2: 42:[1, 40, 1] Operation: 28/28=1
Exploring Operation: 28-28=0, Resulting Numbers: [1, 40, 0]
Generated Node #0,3: 42:[1, 40, 0] Operation: 28-28=0
Exploring Operation: 40-28=12, Resulting Numbers: [1, 28, 12]
Generated Node #0,4: 42:[1, 28, 12] Operation: 40-28=12
Start Sub Search at level 1: Moving to Node #0,2
Current State: 42:[1, 40, 1], Operations: ['28/28=1']
Exploring Operation: 40/1=40, Resulting Numbers: [1, 40]
Generated Node #0,2,0: 42:[1, 40] Operation: 40/1=40
Exploring Operation: 1+40=41, Resulting Numbers: [1, 41]
Generated Node #0,2,1: 42:[1, 41] Operation: 1+40=41
Exploring Operation: 40+1=41, Resulting Numbers: [1, 41]
Generated Node #0,2,2: 42:[1, 41] Operation: 40+1=41
Exploring Operation: 1*40=40, Resulting Numbers: [1, 40]
Generated Node #0,2,3: 42:[1, 40] Operation: 1*40=40
Exploring Operation: 1+1=2, Resulting Numbers: [40, 2]
Generated Node #0,2,4: 42:[40, 2] Operation: 1+1=2
Moving to Node #0,2,1
Current State: 42:[1, 41], Operations: ['28/28=1', '1+40=41']
Exploring Operation: 41/1=41, Resulting Numbers: [41]
41,42 unequal: No Solution
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,42 unequal: No Solution
Exploring Operation: 1*41=41, Resulting Numbers: [41]
41,42 unequal: No Solution
Exploring Operation: 1+41=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[1, 28, 28, 40], Operations: []
Exploring Operation: 28/28=1, Resulting Numbers: [1, 40, 1]
Generated Node #0,2: 42:[1, 40, 1] Operation: 28/28=1
Moving to Node #0,2
Current State: 42:[1, 40, 1], Operations: ['28/28=1']
Exploring Operation: 1+40=41, Resulting Numbers: [1, 41]
Generated Node #0,2,1: 42:[1, 41] Operation: 1+40=41
Moving to Node #0,2,1
Current State: 42:[1, 41], Operations: ['28/28=1', '1+40=41']
Exploring Operation: 1+41=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
79,
86,
40,
79
] | 86 | [
"79-79=0",
"40*0=0",
"86+0=86"
] | Current State: 86:[79, 86, 40, 79], Operations: []
Exploring Operation: 79-79=0, Resulting Numbers: [86, 40, 0]
Generated Node #2: [86, 40, 0] from Operation: 79-79=0
Current State: 86:[86, 40, 0], Operations: ['79-79=0']
Exploring Operation: 40*0=0, Resulting Numbers: [86, 0]
Generated Node #3: [86, 0] from Operation: 40*0=0
Current State: 86:[86, 0], Operations: ['79-79=0', '40*0=0']
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[79, 86, 40, 79], Operations: []
Exploring Operation: 79-40=39, Resulting Numbers: [86, 79, 39]
Generated Node #0,0: 86:[86, 79, 39] Operation: 79-40=39
Exploring Operation: 79-79=0, Resulting Numbers: [86, 40, 0]
Generated Node #0,1: 86:[86, 40, 0] Operation: 79-79=0
Exploring Operation: 79/79=1, Resulting Numbers: [86, 40, 1]
Generated Node #0,2: 86:[86, 40, 1] Operation: 79/79=1
Exploring Operation: 79-40=39, Resulting Numbers: [79, 86, 39]
Generated Node #0,3: 86:[79, 86, 39] Operation: 79-40=39
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[86, 40, 1], Operations: ['79/79=1']
Exploring Operation: 40+1=41, Resulting Numbers: [86, 41]
Generated Node #0,2,0: 86:[86, 41] Operation: 40+1=41
Exploring Operation: 40*1=40, Resulting Numbers: [86, 40]
Generated Node #0,2,1: 86:[86, 40] Operation: 40*1=40
Exploring Operation: 86/1=86, Resulting Numbers: [40, 86]
Generated Node #0,2,2: 86:[40, 86] Operation: 86/1=86
Exploring Operation: 86*1=86, Resulting Numbers: [40, 86]
Generated Node #0,2,3: 86:[40, 86] Operation: 86*1=86
Moving to Node #0,2,0
Current State: 86:[86, 41], Operations: ['79/79=1', '40+1=41']
Exploring Operation: 86+41=127, Resulting Numbers: [127]
127,86 unequal: No Solution
Exploring Operation: 86*41=3526, Resulting Numbers: [3526]
3526,86 unequal: No Solution
Exploring Operation: 86-41=45, Resulting Numbers: [45]
45,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[40, 86], Operations: ['79/79=1', '86/1=86']
Exploring Operation: 86-40=46, Resulting Numbers: [46]
46,86 unequal: No Solution
Exploring Operation: 40+86=126, Resulting Numbers: [126]
126,86 unequal: No Solution
Exploring Operation: 40*86=3440, Resulting Numbers: [3440]
3440,86 unequal: No Solution
Moving to Node #0,2,1
Current State: 86:[86, 40], Operations: ['79/79=1', '40*1=40']
Exploring Operation: 86*40=3440, Resulting Numbers: [3440]
3440,86 unequal: No Solution
Exploring Operation: 86-40=46, Resulting Numbers: [46]
46,86 unequal: No Solution
Exploring Operation: 86+40=126, Resulting Numbers: [126]
126,86 unequal: No Solution
Moving to Node #0,2,3
Current State: 86:[40, 86], Operations: ['79/79=1', '86*1=86']
Exploring Operation: 40+86=126, Resulting Numbers: [126]
126,86 unequal: No Solution
Exploring Operation: 40*86=3440, Resulting Numbers: [3440]
3440,86 unequal: No Solution
Exploring Operation: 86-40=46, Resulting Numbers: [46]
46,86 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:[86, 40, 0], Operations: ['79-79=0']
Exploring Operation: 86+0=86, Resulting Numbers: [40, 86]
Generated Node #0,1,0: 86:[40, 86] Operation: 86+0=86
Exploring Operation: 40+0=40, Resulting Numbers: [86, 40]
Generated Node #0,1,1: 86:[86, 40] Operation: 40+0=40
Exploring Operation: 40*0=0, Resulting Numbers: [86, 0]
Generated Node #0,1,2: 86:[86, 0] Operation: 40*0=0
Exploring Operation: 86-0=86, Resulting Numbers: [40, 86]
Generated Node #0,1,3: 86:[40, 86] Operation: 86-0=86
Moving to Node #0,1,2
Current State: 86:[86, 0], Operations: ['79-79=0', '40*0=0']
Exploring Operation: 86*0=0, Resulting Numbers: [0]
0,86 unequal: No Solution
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[79, 86, 40, 79], Operations: []
Exploring Operation: 79-79=0, Resulting Numbers: [86, 40, 0]
Generated Node #0,1: 86:[86, 40, 0] Operation: 79-79=0
Moving to Node #0,1
Current State: 86:[86, 40, 0], Operations: ['79-79=0']
Exploring Operation: 40*0=0, Resulting Numbers: [86, 0]
Generated Node #0,1,2: 86:[86, 0] Operation: 40*0=0
Moving to Node #0,1,2
Current State: 86:[86, 0], Operations: ['79-79=0', '40*0=0']
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | sum_heuristic |
[
39,
65,
76,
22
] | 41 | [
"76-65=11",
"22/11=2",
"39+2=41"
] | Current State: 41:[39, 65, 76, 22], Operations: []
Exploring Operation: 76-65=11, Resulting Numbers: [39, 22, 11]
Generated Node #2: [39, 22, 11] from Operation: 76-65=11
Current State: 41:[39, 22, 11], Operations: ['76-65=11']
Exploring Operation: 22/11=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 22/11=2
Current State: 41:[39, 2], Operations: ['76-65=11', '22/11=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[39, 65, 76, 22], Operations: []
Exploring Operation: 76-65=11, Resulting Numbers: [39, 22, 11]
Generated Node #0,0: 41:[39, 22, 11] Operation: 76-65=11
Exploring Operation: 76-22=54, Resulting Numbers: [39, 65, 54]
Generated Node #0,1: 41:[39, 65, 54] Operation: 76-22=54
Exploring Operation: 76-39=37, Resulting Numbers: [65, 22, 37]
Generated Node #0,2: 41:[65, 22, 37] Operation: 76-39=37
Exploring Operation: 65-22=43, Resulting Numbers: [39, 76, 43]
Generated Node #0,3: 41:[39, 76, 43] Operation: 65-22=43
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[39, 65, 54], Operations: ['76-22=54']
Exploring Operation: 65-54=11, Resulting Numbers: [39, 11]
Generated Node #0,1,0: 41:[39, 11] Operation: 65-54=11
Exploring Operation: 65-39=26, Resulting Numbers: [54, 26]
Generated Node #0,1,1: 41:[54, 26] Operation: 65-39=26
Exploring Operation: 54-39=15, Resulting Numbers: [65, 15]
Generated Node #0,1,2: 41:[65, 15] Operation: 54-39=15
Exploring Operation: 39+65=104, Resulting Numbers: [54, 104]
Generated Node #0,1,3: 41:[54, 104] Operation: 39+65=104
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 41:[54, 26], Operations: ['76-22=54', '65-39=26']
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,41 unequal: No Solution
Exploring Operation: 54+26=80, Resulting Numbers: [80]
80,41 unequal: No Solution
Exploring Operation: 54*26=1404, Resulting Numbers: [1404]
1404,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 41:[39, 11], Operations: ['76-22=54', '65-54=11']
Exploring Operation: 39+11=50, Resulting Numbers: [50]
50,41 unequal: No Solution
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,41 unequal: No Solution
Exploring Operation: 39*11=429, Resulting Numbers: [429]
429,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 41:[65, 15], Operations: ['76-22=54', '54-39=15']
Exploring Operation: 65*15=975, Resulting Numbers: [975]
975,41 unequal: No Solution
Exploring Operation: 65-15=50, Resulting Numbers: [50]
50,41 unequal: No Solution
Exploring Operation: 65+15=80, Resulting Numbers: [80]
80,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 41:[54, 104], Operations: ['76-22=54', '39+65=104']
Exploring Operation: 54+104=158, Resulting Numbers: [158]
158,41 unequal: No Solution
Exploring Operation: 54*104=5616, Resulting Numbers: [5616]
5616,41 unequal: No Solution
Exploring Operation: 104-54=50, Resulting Numbers: [50]
50,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 41:[39, 76, 43], Operations: ['65-22=43']
Exploring Operation: 43-39=4, Resulting Numbers: [76, 4]
Generated Node #0,3,0: 41:[76, 4] Operation: 43-39=4
Exploring Operation: 76-43=33, Resulting Numbers: [39, 33]
Generated Node #0,3,1: 41:[39, 33] Operation: 76-43=33
Exploring Operation: 39+76=115, Resulting Numbers: [43, 115]
Generated Node #0,3,2: 41:[43, 115] Operation: 39+76=115
Exploring Operation: 76-39=37, Resulting Numbers: [43, 37]
Generated Node #0,3,3: 41:[43, 37] Operation: 76-39=37
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 41:[43, 37], Operations: ['65-22=43', '76-39=37']
Exploring Operation: 43-37=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 43*37=1591, Resulting Numbers: [1591]
1591,41 unequal: No Solution
Exploring Operation: 43+37=80, Resulting Numbers: [80]
80,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 41:[39, 33], Operations: ['65-22=43', '76-43=33']
Exploring Operation: 39*33=1287, Resulting Numbers: [1287]
1287,41 unequal: No Solution
Exploring Operation: 39+33=72, Resulting Numbers: [72]
72,41 unequal: No Solution
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 41:[76, 4], Operations: ['65-22=43', '43-39=4']
Exploring Operation: 76-4=72, Resulting Numbers: [72]
72,41 unequal: No Solution
Exploring Operation: 76+4=80, Resulting Numbers: [80]
80,41 unequal: No Solution
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,41 unequal: No Solution
Exploring Operation: 76*4=304, Resulting Numbers: [304]
304,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 41:[43, 115], Operations: ['65-22=43', '39+76=115']
Exploring Operation: 115-43=72, Resulting Numbers: [72]
72,41 unequal: No Solution
Exploring Operation: 43+115=158, Resulting Numbers: [158]
158,41 unequal: No Solution
Exploring Operation: 43*115=4945, Resulting Numbers: [4945]
4945,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 41:[65, 22, 37], Operations: ['76-39=37']
Exploring Operation: 65+22=87, Resulting Numbers: [37, 87]
Generated Node #0,2,0: 41:[37, 87] Operation: 65+22=87
Exploring Operation: 65-22=43, Resulting Numbers: [37, 43]
Generated Node #0,2,1: 41:[37, 43] Operation: 65-22=43
Exploring Operation: 22+37=59, Resulting Numbers: [65, 59]
Generated Node #0,2,2: 41:[65, 59] Operation: 22+37=59
Exploring Operation: 65-37=28, Resulting Numbers: [22, 28]
Generated Node #0,2,3: 41:[22, 28] Operation: 65-37=28
Moving to Node #0,2,1
Current State: 41:[37, 43], Operations: ['76-39=37', '65-22=43']
Exploring Operation: 37*43=1591, Resulting Numbers: [1591]
1591,41 unequal: No Solution
Exploring Operation: 43-37=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 37+43=80, Resulting Numbers: [80]
80,41 unequal: No Solution
Moving to Node #0,2,3
Current State: 41:[22, 28], Operations: ['76-39=37', '65-37=28']
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,41 unequal: No Solution
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,41 unequal: No Solution
Moving to Node #0,2,2
Current State: 41:[65, 59], Operations: ['76-39=37', '22+37=59']
Exploring Operation: 65*59=3835, Resulting Numbers: [3835]
3835,41 unequal: No Solution
Exploring Operation: 65-59=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 65+59=124, Resulting Numbers: [124]
124,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[37, 87], Operations: ['76-39=37', '65+22=87']
Exploring Operation: 37+87=124, Resulting Numbers: [124]
124,41 unequal: No Solution
Exploring Operation: 37*87=3219, Resulting Numbers: [3219]
3219,41 unequal: No Solution
Exploring Operation: 87-37=50, Resulting Numbers: [50]
50,41 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:[39, 22, 11], Operations: ['76-65=11']
Exploring Operation: 39+11=50, Resulting Numbers: [22, 50]
Generated Node #0,0,0: 41:[22, 50] Operation: 39+11=50
Exploring Operation: 39-11=28, Resulting Numbers: [22, 28]
Generated Node #0,0,1: 41:[22, 28] Operation: 39-11=28
Exploring Operation: 22-11=11, Resulting Numbers: [39, 11]
Generated Node #0,0,2: 41:[39, 11] Operation: 22-11=11
Exploring Operation: 22+11=33, Resulting Numbers: [39, 33]
Generated Node #0,0,3: 41:[39, 33] Operation: 22+11=33
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 41:[39, 33], Operations: ['76-65=11', '22+11=33']
Exploring Operation: 39-33=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 39+33=72, Resulting Numbers: [72]
72,41 unequal: No Solution
Exploring Operation: 39*33=1287, Resulting Numbers: [1287]
1287,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[22, 50], Operations: ['76-65=11', '39+11=50']
Exploring Operation: 22*50=1100, Resulting Numbers: [1100]
1100,41 unequal: No Solution
Exploring Operation: 22+50=72, Resulting Numbers: [72]
72,41 unequal: No Solution
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 41:[22, 28], Operations: ['76-65=11', '39-11=28']
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,41 unequal: No Solution
Exploring Operation: 22*28=616, Resulting Numbers: [616]
616,41 unequal: No Solution
Exploring Operation: 22+28=50, Resulting Numbers: [50]
50,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 41:[39, 11], Operations: ['76-65=11', '22-11=11']
Exploring Operation: 39+11=50, Resulting Numbers: [50]
50,41 unequal: No Solution
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,41 unequal: No Solution
Exploring Operation: 39*11=429, Resulting Numbers: [429]
429,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
3,
91,
47,
74
] | 27 | [
"3+91=94",
"47+74=121",
"121-94=27"
] | Current State: 27:[3, 91, 47, 74], Operations: []
Exploring Operation: 3+91=94, Resulting Numbers: [47, 74, 94]
Generated Node #2: [47, 74, 94] from Operation: 3+91=94
Current State: 27:[47, 74, 94], Operations: ['3+91=94']
Exploring Operation: 47+74=121, Resulting Numbers: [94, 121]
Generated Node #3: [94, 121] from Operation: 47+74=121
Current State: 27:[94, 121], Operations: ['3+91=94', '47+74=121']
Exploring Operation: 121-94=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[3, 91, 47, 74], Operations: []
Exploring Operation: 91-3=88, Resulting Numbers: [47, 74, 88]
Generated Node #0,0: 27:[47, 74, 88] Operation: 91-3=88
Exploring Operation: 91-47=44, Resulting Numbers: [3, 74, 44]
Generated Node #0,1: 27:[3, 74, 44] Operation: 91-47=44
Exploring Operation: 91-74=17, Resulting Numbers: [3, 47, 17]
Generated Node #0,2: 27:[3, 47, 17] Operation: 91-74=17
Exploring Operation: 74-47=27, Resulting Numbers: [3, 91, 27]
Generated Node #0,3: 27:[3, 91, 27] Operation: 74-47=27
Moving to Node #0,2
Current State: 27:[3, 47, 17], Operations: ['91-74=17']
Exploring Operation: 47-17=30, Resulting Numbers: [3, 30]
Generated Node #0,2,0: 27:[3, 30] Operation: 47-17=30
Exploring Operation: 3+17=20, Resulting Numbers: [47, 20]
Generated Node #0,2,1: 27:[47, 20] Operation: 3+17=20
Exploring Operation: 17-3=14, Resulting Numbers: [47, 14]
Generated Node #0,2,2: 27:[47, 14] Operation: 17-3=14
Exploring Operation: 47-3=44, Resulting Numbers: [17, 44]
Generated Node #0,2,3: 27:[17, 44] Operation: 47-3=44
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 27:[3, 30], Operations: ['91-74=17', '47-17=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,27 unequal: No Solution
Exploring Operation: 3*30=90, Resulting Numbers: [90]
90,27 unequal: No Solution
Exploring Operation: 3+30=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[3, 91, 47, 74], Operations: []
Exploring Operation: 91-74=17, Resulting Numbers: [3, 47, 17]
Generated Node #0,2: 27:[3, 47, 17] Operation: 91-74=17
Moving to Node #0,2
Current State: 27:[3, 47, 17], Operations: ['91-74=17']
Exploring Operation: 47-17=30, Resulting Numbers: [3, 30]
Generated Node #0,2,0: 27:[3, 30] Operation: 47-17=30
Moving to Node #0,2,0
Current State: 27:[3, 30], Operations: ['91-74=17', '47-17=30']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
98,
57,
69,
68
] | 41 | [
"98-57=41",
"69-68=1",
"41*1=41"
] | Current State: 41:[98, 57, 69, 68], Operations: []
Exploring Operation: 98-57=41, Resulting Numbers: [69, 68, 41]
Generated Node #2: [69, 68, 41] from Operation: 98-57=41
Current State: 41:[69, 68, 41], Operations: ['98-57=41']
Exploring Operation: 69-68=1, Resulting Numbers: [41, 1]
Generated Node #3: [41, 1] from Operation: 69-68=1
Current State: 41:[41, 1], Operations: ['98-57=41', '69-68=1']
Exploring Operation: 41*1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[98, 57, 69, 68], Operations: []
Exploring Operation: 98-68=30, Resulting Numbers: [57, 69, 30]
Generated Node #0,0: 41:[57, 69, 30] Operation: 98-68=30
Exploring Operation: 98-69=29, Resulting Numbers: [57, 68, 29]
Generated Node #0,1: 41:[57, 68, 29] Operation: 98-69=29
Exploring Operation: 98-57=41, Resulting Numbers: [69, 68, 41]
Generated Node #0,2: 41:[69, 68, 41] Operation: 98-57=41
Moving to Node #0,0
Current State: 41:[57, 69, 30], Operations: ['98-68=30']
Exploring Operation: 69-30=39, Resulting Numbers: [57, 39]
Generated Node #0,0,0: 41:[57, 39] Operation: 69-30=39
Exploring Operation: 57-30=27, Resulting Numbers: [69, 27]
Generated Node #0,0,1: 41:[69, 27] Operation: 57-30=27
Exploring Operation: 69-57=12, Resulting Numbers: [30, 12]
Generated Node #0,0,2: 41:[30, 12] Operation: 69-57=12
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[57, 39], Operations: ['98-68=30', '69-30=39']
Exploring Operation: 57-39=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 57*39=2223, Resulting Numbers: [2223]
2223,41 unequal: No Solution
Exploring Operation: 57+39=96, Resulting Numbers: [96]
96,41 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 #0,0,2
Current State: 41:[30, 12], Operations: ['98-68=30', '69-57=12']
Exploring Operation: 30*12=360, Resulting Numbers: [360]
360,41 unequal: No Solution
Exploring Operation: 30-12=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 30+12=42, Resulting Numbers: [42]
42,41 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 #0,0,1
Current State: 41:[69, 27], Operations: ['98-68=30', '57-30=27']
Exploring Operation: 69-27=42, Resulting Numbers: [42]
42,41 unequal: No Solution
Exploring Operation: 69*27=1863, Resulting Numbers: [1863]
1863,41 unequal: No Solution
Exploring Operation: 69+27=96, Resulting Numbers: [96]
96,41 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: 41:[57, 68, 29], Operations: ['98-69=29']
Exploring Operation: 68-29=39, Resulting Numbers: [57, 39]
Generated Node #0,1,0: 41:[57, 39] Operation: 68-29=39
Exploring Operation: 57-29=28, Resulting Numbers: [68, 28]
Generated Node #0,1,1: 41:[68, 28] Operation: 57-29=28
Exploring Operation: 68-57=11, Resulting Numbers: [29, 11]
Generated Node #0,1,2: 41:[29, 11] Operation: 68-57=11
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 41:[57, 39], Operations: ['98-69=29', '68-29=39']
Exploring Operation: 57*39=2223, Resulting Numbers: [2223]
2223,41 unequal: No Solution
Exploring Operation: 57-39=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 57+39=96, Resulting Numbers: [96]
96,41 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 #0,1,1
Current State: 41:[68, 28], Operations: ['98-69=29', '57-29=28']
Exploring Operation: 68-28=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 68*28=1904, Resulting Numbers: [1904]
1904,41 unequal: No Solution
Exploring Operation: 68+28=96, Resulting Numbers: [96]
96,41 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 #0,1,2
Current State: 41:[29, 11], Operations: ['98-69=29', '68-57=11']
Exploring Operation: 29+11=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 29*11=319, Resulting Numbers: [319]
319,41 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: 41:[69, 68, 41], Operations: ['98-57=41']
Exploring Operation: 69-68=1, Resulting Numbers: [41, 1]
Generated Node #0,2,0: 41:[41, 1] Operation: 69-68=1
Exploring Operation: 68-41=27, Resulting Numbers: [69, 27]
Generated Node #0,2,1: 41:[69, 27] Operation: 68-41=27
Exploring Operation: 69-41=28, Resulting Numbers: [68, 28]
Generated Node #0,2,2: 41:[68, 28] Operation: 69-41=28
Moving to Node #0,2,0
Current State: 41:[41, 1], Operations: ['98-57=41', '69-68=1']
Exploring Operation: 41/1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[98, 57, 69, 68], Operations: []
Exploring Operation: 98-57=41, Resulting Numbers: [69, 68, 41]
Generated Node #0,2: 41:[69, 68, 41] Operation: 98-57=41
Moving to Node #0,2
Current State: 41:[69, 68, 41], Operations: ['98-57=41']
Exploring Operation: 69-68=1, Resulting Numbers: [41, 1]
Generated Node #0,2,0: 41:[41, 1] Operation: 69-68=1
Moving to Node #0,2,0
Current State: 41:[41, 1], Operations: ['98-57=41', '69-68=1']
Exploring Operation: 41/1=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 0.969618 | hs_3 | mult_heuristic |
[
44,
28,
91,
89
] | 32 | [
"44-28=16",
"91-89=2",
"16*2=32"
] | Current State: 32:[44, 28, 91, 89], Operations: []
Exploring Operation: 44-28=16, Resulting Numbers: [91, 89, 16]
Generated Node #2: [91, 89, 16] from Operation: 44-28=16
Current State: 32:[91, 89, 16], Operations: ['44-28=16']
Exploring Operation: 91-89=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 91-89=2
Current State: 32:[16, 2], Operations: ['44-28=16', '91-89=2']
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[44, 28, 91, 89], Operations: []
Exploring Operation: 91-44=47, Resulting Numbers: [28, 89, 47]
Generated Node #0,0: 32:[28, 89, 47] Operation: 91-44=47
Exploring Operation: 89-44=45, Resulting Numbers: [28, 91, 45]
Generated Node #0,1: 32:[28, 91, 45] Operation: 89-44=45
Exploring Operation: 91-89=2, Resulting Numbers: [44, 28, 2]
Generated Node #0,2: 32:[44, 28, 2] Operation: 91-89=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 32:[44, 28, 2], Operations: ['91-89=2']
Exploring Operation: 44/2=22, Resulting Numbers: [28, 22]
Generated Node #0,2,0: 32:[28, 22] Operation: 44/2=22
Exploring Operation: 44-2=42, Resulting Numbers: [28, 42]
Generated Node #0,2,1: 32:[28, 42] Operation: 44-2=42
Exploring Operation: 44-28=16, Resulting Numbers: [2, 16]
Generated Node #0,2,2: 32:[2, 16] Operation: 44-28=16
Moving to Node #0,2,2
Current State: 32:[2, 16], Operations: ['91-89=2', '44-28=16']
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[44, 28, 91, 89], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [44, 28, 2]
Generated Node #0,2: 32:[44, 28, 2] Operation: 91-89=2
Moving to Node #0,2
Current State: 32:[44, 28, 2], Operations: ['91-89=2']
Exploring Operation: 44-28=16, Resulting Numbers: [2, 16]
Generated Node #0,2,2: 32:[2, 16] Operation: 44-28=16
Moving to Node #0,2,2
Current State: 32:[2, 16], Operations: ['91-89=2', '44-28=16']
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
54,
77,
21,
12
] | 32 | [
"77-54=23",
"21-12=9",
"23+9=32"
] | Current State: 32:[54, 77, 21, 12], Operations: []
Exploring Operation: 77-54=23, Resulting Numbers: [21, 12, 23]
Generated Node #2: [21, 12, 23] from Operation: 77-54=23
Current State: 32:[21, 12, 23], Operations: ['77-54=23']
Exploring Operation: 21-12=9, Resulting Numbers: [23, 9]
Generated Node #3: [23, 9] from Operation: 21-12=9
Current State: 32:[23, 9], Operations: ['77-54=23', '21-12=9']
Exploring Operation: 23+9=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[54, 77, 21, 12], Operations: []
Exploring Operation: 77-54=23, Resulting Numbers: [21, 12, 23]
Generated Node #0,0: 32:[21, 12, 23] Operation: 77-54=23
Exploring Operation: 77-21=56, Resulting Numbers: [54, 12, 56]
Generated Node #0,1: 32:[54, 12, 56] Operation: 77-21=56
Exploring Operation: 54-21=33, Resulting Numbers: [77, 12, 33]
Generated Node #0,2: 32:[77, 12, 33] Operation: 54-21=33
Exploring Operation: 54-12=42, Resulting Numbers: [77, 21, 42]
Generated Node #0,3: 32:[77, 21, 42] Operation: 54-12=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[21, 12, 23], Operations: ['77-54=23']
Exploring Operation: 21+12=33, Resulting Numbers: [23, 33]
Generated Node #0,0,0: 32:[23, 33] Operation: 21+12=33
Exploring Operation: 12+23=35, Resulting Numbers: [21, 35]
Generated Node #0,0,1: 32:[21, 35] Operation: 12+23=35
Exploring Operation: 23-21=2, Resulting Numbers: [12, 2]
Generated Node #0,0,2: 32:[12, 2] Operation: 23-21=2
Exploring Operation: 21-12=9, Resulting Numbers: [23, 9]
Generated Node #0,0,3: 32:[23, 9] Operation: 21-12=9
Moving to Node #0,0,2
Current State: 32:[12, 2], Operations: ['77-54=23', '23-21=2']
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,32 unequal: No Solution
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,32 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,32 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,32 unequal: No Solution
Moving to Node #0,0,1
Current State: 32:[21, 35], Operations: ['77-54=23', '12+23=35']
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,32 unequal: No Solution
Exploring Operation: 21*35=735, Resulting Numbers: [735]
735,32 unequal: No Solution
Exploring Operation: 21+35=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Moving to Node #0,0,0
Current State: 32:[23, 33], Operations: ['77-54=23', '21+12=33']
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,32 unequal: No Solution
Exploring Operation: 23*33=759, Resulting Numbers: [759]
759,32 unequal: No Solution
Exploring Operation: 23+33=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Moving to Node #0,0,3
Current State: 32:[23, 9], Operations: ['77-54=23', '21-12=9']
Exploring Operation: 23+9=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[54, 77, 21, 12], Operations: []
Exploring Operation: 77-54=23, Resulting Numbers: [21, 12, 23]
Generated Node #0,0: 32:[21, 12, 23] Operation: 77-54=23
Moving to Node #0,0
Current State: 32:[21, 12, 23], Operations: ['77-54=23']
Exploring Operation: 21-12=9, Resulting Numbers: [23, 9]
Generated Node #0,0,3: 32:[23, 9] Operation: 21-12=9
Moving to Node #0,0,3
Current State: 32:[23, 9], Operations: ['77-54=23', '21-12=9']
Exploring Operation: 23+9=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_4 | mult_heuristic |
[
27,
31,
85,
64
] | 91 | [
"27+31=58",
"85+64=149",
"149-58=91"
] | Current State: 91:[27, 31, 85, 64], Operations: []
Exploring Operation: 27+31=58, Resulting Numbers: [85, 64, 58]
Generated Node #2: [85, 64, 58] from Operation: 27+31=58
Current State: 91:[85, 64, 58], Operations: ['27+31=58']
Exploring Operation: 85+64=149, Resulting Numbers: [58, 149]
Generated Node #3: [58, 149] from Operation: 85+64=149
Current State: 91:[58, 149], Operations: ['27+31=58', '85+64=149']
Exploring Operation: 149-58=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[27, 31, 85, 64], Operations: []
Exploring Operation: 64-31=33, Resulting Numbers: [27, 85, 33]
Generated Node #0,0: 91:[27, 85, 33] Operation: 64-31=33
Exploring Operation: 31-27=4, Resulting Numbers: [85, 64, 4]
Generated Node #0,1: 91:[85, 64, 4] Operation: 31-27=4
Exploring Operation: 27+64=91, Resulting Numbers: [31, 85, 91]
Generated Node #0,2: 91:[31, 85, 91] Operation: 27+64=91
Exploring Operation: 31+64=95, Resulting Numbers: [27, 85, 95]
Generated Node #0,3: 91:[27, 85, 95] Operation: 31+64=95
Start Sub Search at level 1: Moving to Node #0,2
Current State: 91:[31, 85, 91], Operations: ['27+64=91']
Exploring Operation: 31+91=122, Resulting Numbers: [85, 122]
Generated Node #0,2,0: 91:[85, 122] Operation: 31+91=122
Exploring Operation: 91-85=6, Resulting Numbers: [31, 6]
Generated Node #0,2,1: 91:[31, 6] Operation: 91-85=6
Exploring Operation: 85-31=54, Resulting Numbers: [91, 54]
Generated Node #0,2,2: 91:[91, 54] Operation: 85-31=54
Exploring Operation: 31+85=116, Resulting Numbers: [91, 116]
Generated Node #0,2,3: 91:[91, 116] Operation: 31+85=116
Moving to Node #0,2,1
Current State: 91:[31, 6], Operations: ['27+64=91', '91-85=6']
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,91 unequal: No Solution
Exploring Operation: 31*6=186, Resulting Numbers: [186]
186,91 unequal: No Solution
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,91 unequal: No Solution
Moving to Node #0,2,3
Current State: 91:[91, 116], Operations: ['27+64=91', '31+85=116']
Exploring Operation: 91+116=207, Resulting Numbers: [207]
207,91 unequal: No Solution
Exploring Operation: 91*116=10556, Resulting Numbers: [10556]
10556,91 unequal: No Solution
Exploring Operation: 116-91=25, Resulting Numbers: [25]
25,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[91, 54], Operations: ['27+64=91', '85-31=54']
Exploring Operation: 91-54=37, Resulting Numbers: [37]
37,91 unequal: No Solution
Exploring Operation: 91+54=145, Resulting Numbers: [145]
145,91 unequal: No Solution
Exploring Operation: 91*54=4914, Resulting Numbers: [4914]
4914,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[85, 122], Operations: ['27+64=91', '31+91=122']
Exploring Operation: 122-85=37, Resulting Numbers: [37]
37,91 unequal: No Solution
Exploring Operation: 85+122=207, Resulting Numbers: [207]
207,91 unequal: No Solution
Exploring Operation: 85*122=10370, Resulting Numbers: [10370]
10370,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 91:[27, 85, 95], Operations: ['31+64=95']
Exploring Operation: 27+85=112, Resulting Numbers: [95, 112]
Generated Node #0,3,0: 91:[95, 112] Operation: 27+85=112
Exploring Operation: 85-27=58, Resulting Numbers: [95, 58]
Generated Node #0,3,1: 91:[95, 58] Operation: 85-27=58
Exploring Operation: 95-85=10, Resulting Numbers: [27, 10]
Generated Node #0,3,2: 91:[27, 10] Operation: 95-85=10
Exploring Operation: 95-27=68, Resulting Numbers: [85, 68]
Generated Node #0,3,3: 91:[85, 68] Operation: 95-27=68
Moving to Node #0,3,2
Current State: 91:[27, 10], Operations: ['31+64=95', '95-85=10']
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,91 unequal: No Solution
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Exploring Operation: 27*10=270, Resulting Numbers: [270]
270,91 unequal: No Solution
Moving to Node #0,3,0
Current State: 91:[95, 112], Operations: ['31+64=95', '27+85=112']
Exploring Operation: 95+112=207, Resulting Numbers: [207]
207,91 unequal: No Solution
Exploring Operation: 95*112=10640, Resulting Numbers: [10640]
10640,91 unequal: No Solution
Exploring Operation: 112-95=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Moving to Node #0,3,3
Current State: 91:[85, 68], Operations: ['31+64=95', '95-27=68']
Exploring Operation: 85*68=5780, Resulting Numbers: [5780]
5780,91 unequal: No Solution
Exploring Operation: 85+68=153, Resulting Numbers: [153]
153,91 unequal: No Solution
Exploring Operation: 85-68=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Moving to Node #0,3,1
Current State: 91:[95, 58], Operations: ['31+64=95', '85-27=58']
Exploring Operation: 95-58=37, Resulting Numbers: [37]
37,91 unequal: No Solution
Exploring Operation: 95*58=5510, Resulting Numbers: [5510]
5510,91 unequal: No Solution
Exploring Operation: 95+58=153, Resulting Numbers: [153]
153,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[85, 64, 4], Operations: ['31-27=4']
Exploring Operation: 85-64=21, Resulting Numbers: [4, 21]
Generated Node #0,1,0: 91:[4, 21] Operation: 85-64=21
Exploring Operation: 64/4=16, Resulting Numbers: [85, 16]
Generated Node #0,1,1: 91:[85, 16] Operation: 64/4=16
Exploring Operation: 64+4=68, Resulting Numbers: [85, 68]
Generated Node #0,1,2: 91:[85, 68] Operation: 64+4=68
Exploring Operation: 85+4=89, Resulting Numbers: [64, 89]
Generated Node #0,1,3: 91:[64, 89] Operation: 85+4=89
Moving to Node #0,1,1
Current State: 91:[85, 16], Operations: ['31-27=4', '64/4=16']
Exploring Operation: 85-16=69, Resulting Numbers: [69]
69,91 unequal: No Solution
Exploring Operation: 85*16=1360, Resulting Numbers: [1360]
1360,91 unequal: No Solution
Exploring Operation: 85+16=101, Resulting Numbers: [101]
101,91 unequal: No Solution
Moving to Node #0,1,0
Current State: 91:[4, 21], Operations: ['31-27=4', '85-64=21']
Exploring Operation: 21-4=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Exploring Operation: 4*21=84, Resulting Numbers: [84]
84,91 unequal: No Solution
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,91 unequal: No Solution
Moving to Node #0,1,3
Current State: 91:[64, 89], Operations: ['31-27=4', '85+4=89']
Exploring Operation: 64*89=5696, Resulting Numbers: [5696]
5696,91 unequal: No Solution
Exploring Operation: 89-64=25, Resulting Numbers: [25]
25,91 unequal: No Solution
Exploring Operation: 64+89=153, Resulting Numbers: [153]
153,91 unequal: No Solution
Moving to Node #0,1,2
Current State: 91:[85, 68], Operations: ['31-27=4', '64+4=68']
Exploring Operation: 85+68=153, Resulting Numbers: [153]
153,91 unequal: No Solution
Exploring Operation: 85-68=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Exploring Operation: 85*68=5780, Resulting Numbers: [5780]
5780,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[27, 85, 33], Operations: ['64-31=33']
Exploring Operation: 33-27=6, Resulting Numbers: [85, 6]
Generated Node #0,0,0: 91:[85, 6] Operation: 33-27=6
Exploring Operation: 85+33=118, Resulting Numbers: [27, 118]
Generated Node #0,0,1: 91:[27, 118] Operation: 85+33=118
Exploring Operation: 27+33=60, Resulting Numbers: [85, 60]
Generated Node #0,0,2: 91:[85, 60] Operation: 27+33=60
Exploring Operation: 27+85=112, Resulting Numbers: [33, 112]
Generated Node #0,0,3: 91:[33, 112] Operation: 27+85=112
Moving to Node #0,0,0
Current State: 91:[85, 6], Operations: ['64-31=33', '33-27=6']
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,91 unequal: No Solution
Exploring Operation: 85+6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[27, 31, 85, 64], Operations: []
Exploring Operation: 64-31=33, Resulting Numbers: [27, 85, 33]
Generated Node #0,0: 91:[27, 85, 33] Operation: 64-31=33
Moving to Node #0,0
Current State: 91:[27, 85, 33], Operations: ['64-31=33']
Exploring Operation: 33-27=6, Resulting Numbers: [85, 6]
Generated Node #0,0,0: 91:[85, 6] Operation: 33-27=6
Moving to Node #0,0,0
Current State: 91:[85, 6], Operations: ['64-31=33', '33-27=6']
Exploring Operation: 85+6=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.946181 | hs_4 | sum_heuristic |
[
93,
62,
5,
59
] | 18 | [
"93-62=31",
"59+31=90",
"90/5=18"
] | Current State: 18:[93, 62, 5, 59], Operations: []
Exploring Operation: 93-62=31, Resulting Numbers: [5, 59, 31]
Generated Node #2: [5, 59, 31] from Operation: 93-62=31
Current State: 18:[5, 59, 31], Operations: ['93-62=31']
Exploring Operation: 59+31=90, Resulting Numbers: [5, 90]
Generated Node #3: [5, 90] from Operation: 59+31=90
Current State: 18:[5, 90], Operations: ['93-62=31', '59+31=90']
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[93, 62, 5, 59], Operations: []
Exploring Operation: 93-59=34, Resulting Numbers: [62, 5, 34]
Generated Node #0,0: 18:[62, 5, 34] Operation: 93-59=34
Exploring Operation: 62-59=3, Resulting Numbers: [93, 5, 3]
Generated Node #0,1: 18:[93, 5, 3] Operation: 62-59=3
Exploring Operation: 93-62=31, Resulting Numbers: [5, 59, 31]
Generated Node #0,2: 18:[5, 59, 31] Operation: 93-62=31
Exploring Operation: 93-5=88, Resulting Numbers: [62, 59, 88]
Generated Node #0,3: 18:[62, 59, 88] Operation: 93-5=88
Exploring Operation: 62-5=57, Resulting Numbers: [93, 59, 57]
Generated Node #0,4: 18:[93, 59, 57] Operation: 62-5=57
Moving to Node #0,2
Current State: 18:[5, 59, 31], Operations: ['93-62=31']
Exploring Operation: 59-5=54, Resulting Numbers: [31, 54]
Generated Node #0,2,0: 18:[31, 54] Operation: 59-5=54
Exploring Operation: 31-5=26, Resulting Numbers: [59, 26]
Generated Node #0,2,1: 18:[59, 26] Operation: 31-5=26
Exploring Operation: 59-31=28, Resulting Numbers: [5, 28]
Generated Node #0,2,2: 18:[5, 28] Operation: 59-31=28
Exploring Operation: 5+59=64, Resulting Numbers: [31, 64]
Generated Node #0,2,3: 18:[31, 64] Operation: 5+59=64
Exploring Operation: 5+31=36, Resulting Numbers: [59, 36]
Generated Node #0,2,4: 18:[59, 36] Operation: 5+31=36
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 18:[5, 28], Operations: ['93-62=31', '59-31=28']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 5*28=140, Resulting Numbers: [140]
140,18 unequal: No Solution
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 18:[31, 54], Operations: ['93-62=31', '59-5=54']
Exploring Operation: 31*54=1674, Resulting Numbers: [1674]
1674,18 unequal: No Solution
Exploring Operation: 31+54=85, Resulting Numbers: [85]
85,18 unequal: No Solution
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 18:[59, 26], Operations: ['93-62=31', '31-5=26']
Exploring Operation: 59+26=85, Resulting Numbers: [85]
85,18 unequal: No Solution
Exploring Operation: 59-26=33, Resulting Numbers: [33]
33,18 unequal: No Solution
Exploring Operation: 59*26=1534, Resulting Numbers: [1534]
1534,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 18:[31, 64], Operations: ['93-62=31', '5+59=64']
Exploring Operation: 31+64=95, Resulting Numbers: [95]
95,18 unequal: No Solution
Exploring Operation: 64-31=33, Resulting Numbers: [33]
33,18 unequal: No Solution
Exploring Operation: 31*64=1984, Resulting Numbers: [1984]
1984,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 18:[59, 36], Operations: ['93-62=31', '5+31=36']
Exploring Operation: 59*36=2124, Resulting Numbers: [2124]
2124,18 unequal: No Solution
Exploring Operation: 59-36=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 59+36=95, Resulting Numbers: [95]
95,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 18:[62, 5, 34], Operations: ['93-59=34']
Exploring Operation: 62-34=28, Resulting Numbers: [5, 28]
Generated Node #0,0,0: 18:[5, 28] Operation: 62-34=28
Exploring Operation: 34-5=29, Resulting Numbers: [62, 29]
Generated Node #0,0,1: 18:[62, 29] Operation: 34-5=29
Exploring Operation: 62-5=57, Resulting Numbers: [34, 57]
Generated Node #0,0,2: 18:[34, 57] Operation: 62-5=57
Exploring Operation: 5+34=39, Resulting Numbers: [62, 39]
Generated Node #0,0,3: 18:[62, 39] Operation: 5+34=39
Exploring Operation: 62+5=67, Resulting Numbers: [34, 67]
Generated Node #0,0,4: 18:[34, 67] Operation: 62+5=67
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 18:[5, 28], Operations: ['93-59=34', '62-34=28']
Exploring Operation: 5*28=140, Resulting Numbers: [140]
140,18 unequal: No Solution
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,18 unequal: No Solution
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,18 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 #0,0,1
Current State: 18:[62, 29], Operations: ['93-59=34', '34-5=29']
Exploring Operation: 62+29=91, Resulting Numbers: [91]
91,18 unequal: No Solution
Exploring Operation: 62*29=1798, Resulting Numbers: [1798]
1798,18 unequal: No Solution
Exploring Operation: 62-29=33, Resulting Numbers: [33]
33,18 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 #0,0,2
Current State: 18:[34, 57], Operations: ['93-59=34', '62-5=57']
Exploring Operation: 34+57=91, Resulting Numbers: [91]
91,18 unequal: No Solution
Exploring Operation: 34*57=1938, Resulting Numbers: [1938]
1938,18 unequal: No Solution
Exploring Operation: 57-34=23, Resulting Numbers: [23]
23,18 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 #0,0,3
Current State: 18:[62, 39], Operations: ['93-59=34', '5+34=39']
Exploring Operation: 62*39=2418, Resulting Numbers: [2418]
2418,18 unequal: No Solution
Exploring Operation: 62-39=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 62+39=101, Resulting Numbers: [101]
101,18 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 #0,0,4
Current State: 18:[34, 67], Operations: ['93-59=34', '62+5=67']
Exploring Operation: 67-34=33, Resulting Numbers: [33]
33,18 unequal: No Solution
Exploring Operation: 34+67=101, Resulting Numbers: [101]
101,18 unequal: No Solution
Exploring Operation: 34*67=2278, Resulting Numbers: [2278]
2278,18 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: 18:[93, 5, 3], Operations: ['62-59=3']
Exploring Operation: 93-3=90, Resulting Numbers: [5, 90]
Generated Node #0,1,0: 18:[5, 90] Operation: 93-3=90
Exploring Operation: 93/3=31, Resulting Numbers: [5, 31]
Generated Node #0,1,1: 18:[5, 31] Operation: 93/3=31
Exploring Operation: 5+3=8, Resulting Numbers: [93, 8]
Generated Node #0,1,2: 18:[93, 8] Operation: 5+3=8
Exploring Operation: 93-5=88, Resulting Numbers: [3, 88]
Generated Node #0,1,3: 18:[3, 88] Operation: 93-5=88
Exploring Operation: 5-3=2, Resulting Numbers: [93, 2]
Generated Node #0,1,4: 18:[93, 2] Operation: 5-3=2
Moving to Node #0,3
Current State: 18:[62, 59, 88], Operations: ['93-5=88']
Exploring Operation: 62+88=150, Resulting Numbers: [59, 150]
Generated Node #0,3,0: 18:[59, 150] Operation: 62+88=150
Exploring Operation: 62-59=3, Resulting Numbers: [88, 3]
Generated Node #0,3,1: 18:[88, 3] Operation: 62-59=3
Exploring Operation: 88-59=29, Resulting Numbers: [62, 29]
Generated Node #0,3,2: 18:[62, 29] Operation: 88-59=29
Exploring Operation: 88-62=26, Resulting Numbers: [59, 26]
Generated Node #0,3,3: 18:[59, 26] Operation: 88-62=26
Exploring Operation: 62+59=121, Resulting Numbers: [88, 121]
Generated Node #0,3,4: 18:[88, 121] Operation: 62+59=121
Moving to Node #0,4
Current State: 18:[93, 59, 57], Operations: ['62-5=57']
Exploring Operation: 93+57=150, Resulting Numbers: [59, 150]
Generated Node #0,4,0: 18:[59, 150] Operation: 93+57=150
Exploring Operation: 59-57=2, Resulting Numbers: [93, 2]
Generated Node #0,4,1: 18:[93, 2] Operation: 59-57=2
Exploring Operation: 93+59=152, Resulting Numbers: [57, 152]
Generated Node #0,4,2: 18:[57, 152] Operation: 93+59=152
Exploring Operation: 93-57=36, Resulting Numbers: [59, 36]
Generated Node #0,4,3: 18:[59, 36] Operation: 93-57=36
Exploring Operation: 93-59=34, Resulting Numbers: [57, 34]
Generated Node #0,4,4: 18:[57, 34] Operation: 93-59=34
Moving to Node #0,1,1
Current State: 18:[5, 31], Operations: ['62-59=3', '93/3=31']
Exploring Operation: 5*31=155, Resulting Numbers: [155]
155,18 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,18 unequal: No Solution
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,18 unequal: No Solution
Moving to Node #0,3,3
Current State: 18:[59, 26], Operations: ['93-5=88', '88-62=26']
Exploring Operation: 59*26=1534, Resulting Numbers: [1534]
1534,18 unequal: No Solution
Exploring Operation: 59-26=33, Resulting Numbers: [33]
33,18 unequal: No Solution
Exploring Operation: 59+26=85, Resulting Numbers: [85]
85,18 unequal: No Solution
Moving to Node #0,3,2
Current State: 18:[62, 29], Operations: ['93-5=88', '88-59=29']
Exploring Operation: 62*29=1798, Resulting Numbers: [1798]
1798,18 unequal: No Solution
Exploring Operation: 62+29=91, Resulting Numbers: [91]
91,18 unequal: No Solution
Exploring Operation: 62-29=33, Resulting Numbers: [33]
33,18 unequal: No Solution
Moving to Node #0,4,4
Current State: 18:[57, 34], Operations: ['62-5=57', '93-59=34']
Exploring Operation: 57+34=91, Resulting Numbers: [91]
91,18 unequal: No Solution
Exploring Operation: 57*34=1938, Resulting Numbers: [1938]
1938,18 unequal: No Solution
Exploring Operation: 57-34=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Moving to Node #0,4,3
Current State: 18:[59, 36], Operations: ['62-5=57', '93-57=36']
Exploring Operation: 59-36=23, Resulting Numbers: [23]
23,18 unequal: No Solution
Exploring Operation: 59+36=95, Resulting Numbers: [95]
95,18 unequal: No Solution
Exploring Operation: 59*36=2124, Resulting Numbers: [2124]
2124,18 unequal: No Solution
Moving to Node #0,1,3
Current State: 18:[3, 88], Operations: ['62-59=3', '93-5=88']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,18 unequal: No Solution
Exploring Operation: 3+88=91, Resulting Numbers: [91]
91,18 unequal: No Solution
Exploring Operation: 3*88=264, Resulting Numbers: [264]
264,18 unequal: No Solution
Moving to Node #0,3,1
Current State: 18:[88, 3], Operations: ['93-5=88', '62-59=3']
Exploring Operation: 88*3=264, Resulting Numbers: [264]
264,18 unequal: No Solution
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,18 unequal: No Solution
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,18 unequal: No Solution
Moving to Node #0,1,0
Current State: 18:[5, 90], Operations: ['62-59=3', '93-3=90']
Exploring Operation: 5*90=450, Resulting Numbers: [450]
450,18 unequal: No Solution
Exploring Operation: 5+90=95, Resulting Numbers: [95]
95,18 unequal: No Solution
Exploring Operation: 90-5=85, Resulting Numbers: [85]
85,18 unequal: No Solution
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[93, 62, 5, 59], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [93, 5, 3]
Generated Node #0,1: 18:[93, 5, 3] Operation: 62-59=3
Moving to Node #0,1
Current State: 18:[93, 5, 3], Operations: ['62-59=3']
Exploring Operation: 93-3=90, Resulting Numbers: [5, 90]
Generated Node #0,1,0: 18:[5, 90] Operation: 93-3=90
Moving to Node #0,1,0
Current State: 18:[5, 90], Operations: ['62-59=3', '93-3=90']
Exploring Operation: 90/5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 0.922743 | hs_5 | sum_heuristic |
[
33,
66,
26,
55
] | 78 | [
"33*26=858",
"66-55=11",
"858/11=78"
] | Current State: 78:[33, 66, 26, 55], Operations: []
Exploring Operation: 33*26=858, Resulting Numbers: [66, 55, 858]
Generated Node #2: [66, 55, 858] from Operation: 33*26=858
Current State: 78:[66, 55, 858], Operations: ['33*26=858']
Exploring Operation: 66-55=11, Resulting Numbers: [858, 11]
Generated Node #3: [858, 11] from Operation: 66-55=11
Current State: 78:[858, 11], Operations: ['33*26=858', '66-55=11']
Exploring Operation: 858/11=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[33, 66, 26, 55], Operations: []
Exploring Operation: 66-55=11, Resulting Numbers: [33, 26, 11]
Generated Node #0,0: 78:[33, 26, 11] Operation: 66-55=11
Exploring Operation: 66/33=2, Resulting Numbers: [26, 55, 2]
Generated Node #0,1: 78:[26, 55, 2] Operation: 66/33=2
Moving to Node #0,0
Current State: 78:[33, 26, 11], Operations: ['66-55=11']
Exploring Operation: 33/11=3, Resulting Numbers: [26, 3]
Generated Node #0,0,0: 78:[26, 3] Operation: 33/11=3
Exploring Operation: 33-26=7, Resulting Numbers: [11, 7]
Generated Node #0,0,1: 78:[11, 7] Operation: 33-26=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 78:[26, 3], Operations: ['66-55=11', '33/11=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,78 unequal: No Solution
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[33, 66, 26, 55], Operations: []
Exploring Operation: 66-55=11, Resulting Numbers: [33, 26, 11]
Generated Node #0,0: 78:[33, 26, 11] Operation: 66-55=11
Moving to Node #0,0
Current State: 78:[33, 26, 11], Operations: ['66-55=11']
Exploring Operation: 33/11=3, Resulting Numbers: [26, 3]
Generated Node #0,0,0: 78:[26, 3] Operation: 33/11=3
Moving to Node #0,0,0
Current State: 78:[26, 3], Operations: ['66-55=11', '33/11=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
48,
59,
3,
47
] | 82 | [
"48+47=95",
"59*3=177",
"177-95=82"
] | Current State: 82:[48, 59, 3, 47], Operations: []
Exploring Operation: 48+47=95, Resulting Numbers: [59, 3, 95]
Generated Node #2: [59, 3, 95] from Operation: 48+47=95
Current State: 82:[59, 3, 95], Operations: ['48+47=95']
Exploring Operation: 59*3=177, Resulting Numbers: [95, 177]
Generated Node #3: [95, 177] from Operation: 59*3=177
Current State: 82:[95, 177], Operations: ['48+47=95', '59*3=177']
Exploring Operation: 177-95=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[48, 59, 3, 47], Operations: []
Exploring Operation: 59-48=11, Resulting Numbers: [3, 47, 11]
Generated Node #0,0: 82:[3, 47, 11] Operation: 59-48=11
Exploring Operation: 59-3=56, Resulting Numbers: [48, 47, 56]
Generated Node #0,1: 82:[48, 47, 56] Operation: 59-3=56
Exploring Operation: 48-3=45, Resulting Numbers: [59, 47, 45]
Generated Node #0,2: 82:[59, 47, 45] Operation: 48-3=45
Exploring Operation: 59-47=12, Resulting Numbers: [48, 3, 12]
Generated Node #0,3: 82:[48, 3, 12] Operation: 59-47=12
Exploring Operation: 48-47=1, Resulting Numbers: [59, 3, 1]
Generated Node #0,4: 82:[59, 3, 1] Operation: 48-47=1
Moving to Node #0,0
Current State: 82:[3, 47, 11], Operations: ['59-48=11']
Exploring Operation: 11-3=8, Resulting Numbers: [47, 8]
Generated Node #0,0,0: 82:[47, 8] Operation: 11-3=8
Exploring Operation: 47-3=44, Resulting Numbers: [11, 44]
Generated Node #0,0,1: 82:[11, 44] Operation: 47-3=44
Exploring Operation: 3*11=33, Resulting Numbers: [47, 33]
Generated Node #0,0,2: 82:[47, 33] Operation: 3*11=33
Exploring Operation: 47-11=36, Resulting Numbers: [3, 36]
Generated Node #0,0,3: 82:[3, 36] Operation: 47-11=36
Exploring Operation: 3+47=50, Resulting Numbers: [11, 50]
Generated Node #0,0,4: 82:[11, 50] Operation: 3+47=50
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 82:[3, 36], Operations: ['59-48=11', '47-11=36']
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,82 unequal: No Solution
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,82 unequal: No Solution
Exploring Operation: 3*36=108, Resulting Numbers: [108]
108,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 82:[47, 8], Operations: ['59-48=11', '11-3=8']
Exploring Operation: 47*8=376, Resulting Numbers: [376]
376,82 unequal: No Solution
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 47+8=55, Resulting Numbers: [55]
55,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 82:[11, 44], Operations: ['59-48=11', '47-3=44']
Exploring Operation: 44/11=4, Resulting Numbers: [4]
4,82 unequal: No Solution
Exploring Operation: 44-11=33, Resulting Numbers: [33]
33,82 unequal: No Solution
Exploring Operation: 11+44=55, Resulting Numbers: [55]
55,82 unequal: No Solution
Exploring Operation: 11*44=484, Resulting Numbers: [484]
484,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 82:[47, 33], Operations: ['59-48=11', '3*11=33']
Exploring Operation: 47*33=1551, Resulting Numbers: [1551]
1551,82 unequal: No Solution
Exploring Operation: 47+33=80, Resulting Numbers: [80]
80,82 unequal: No Solution
Exploring Operation: 47-33=14, Resulting Numbers: [14]
14,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 82:[11, 50], Operations: ['59-48=11', '3+47=50']
Exploring Operation: 11+50=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Exploring Operation: 11*50=550, Resulting Numbers: [550]
550,82 unequal: No Solution
Exploring Operation: 50-11=39, Resulting Numbers: [39]
39,82 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: 82:[48, 3, 12], Operations: ['59-47=12']
Exploring Operation: 48/12=4, Resulting Numbers: [3, 4]
Generated Node #0,3,0: 82:[3, 4] Operation: 48/12=4
Exploring Operation: 3*12=36, Resulting Numbers: [48, 36]
Generated Node #0,3,1: 82:[48, 36] Operation: 3*12=36
Exploring Operation: 48-12=36, Resulting Numbers: [3, 36]
Generated Node #0,3,2: 82:[3, 36] Operation: 48-12=36
Exploring Operation: 12/3=4, Resulting Numbers: [48, 4]
Generated Node #0,3,3: 82:[48, 4] Operation: 12/3=4
Exploring Operation: 48-3=45, Resulting Numbers: [12, 45]
Generated Node #0,3,4: 82:[12, 45] Operation: 48-3=45
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 82:[3, 4], Operations: ['59-47=12', '48/12=4']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,82 unequal: No Solution
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,82 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 82:[3, 36], Operations: ['59-47=12', '48-12=36']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,82 unequal: No Solution
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 3*36=108, Resulting Numbers: [108]
108,82 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 82:[48, 4], Operations: ['59-47=12', '12/3=4']
Exploring Operation: 48*4=192, Resulting Numbers: [192]
192,82 unequal: No Solution
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,82 unequal: No Solution
Exploring Operation: 48+4=52, Resulting Numbers: [52]
52,82 unequal: No Solution
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 82:[48, 36], Operations: ['59-47=12', '3*12=36']
Exploring Operation: 48*36=1728, Resulting Numbers: [1728]
1728,82 unequal: No Solution
Exploring Operation: 48+36=84, Resulting Numbers: [84]
84,82 unequal: No Solution
Exploring Operation: 48-36=12, Resulting Numbers: [12]
12,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 82:[12, 45], Operations: ['59-47=12', '48-3=45']
Exploring Operation: 12+45=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Exploring Operation: 12*45=540, Resulting Numbers: [540]
540,82 unequal: No Solution
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,82 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: 82:[59, 3, 1], Operations: ['48-47=1']
Exploring Operation: 3-1=2, Resulting Numbers: [59, 2]
Generated Node #0,4,0: 82:[59, 2] Operation: 3-1=2
Exploring Operation: 59/1=59, Resulting Numbers: [3, 59]
Generated Node #0,4,1: 82:[3, 59] Operation: 59/1=59
Exploring Operation: 59*1=59, Resulting Numbers: [3, 59]
Generated Node #0,4,2: 82:[3, 59] Operation: 59*1=59
Exploring Operation: 59-1=58, Resulting Numbers: [3, 58]
Generated Node #0,4,3: 82:[3, 58] Operation: 59-1=58
Exploring Operation: 59-3=56, Resulting Numbers: [1, 56]
Generated Node #0,4,4: 82:[1, 56] Operation: 59-3=56
Moving to Node #0,1
Current State: 82:[48, 47, 56], Operations: ['59-3=56']
Exploring Operation: 56-48=8, Resulting Numbers: [47, 8]
Generated Node #0,1,0: 82:[47, 8] Operation: 56-48=8
Exploring Operation: 48+56=104, Resulting Numbers: [47, 104]
Generated Node #0,1,1: 82:[47, 104] Operation: 48+56=104
Exploring Operation: 48+47=95, Resulting Numbers: [56, 95]
Generated Node #0,1,2: 82:[56, 95] Operation: 48+47=95
Exploring Operation: 48-47=1, Resulting Numbers: [56, 1]
Generated Node #0,1,3: 82:[56, 1] Operation: 48-47=1
Exploring Operation: 56-47=9, Resulting Numbers: [48, 9]
Generated Node #0,1,4: 82:[48, 9] Operation: 56-47=9
Moving to Node #0,2
Current State: 82:[59, 47, 45], Operations: ['48-3=45']
Exploring Operation: 59-47=12, Resulting Numbers: [45, 12]
Generated Node #0,2,0: 82:[45, 12] Operation: 59-47=12
Exploring Operation: 59+45=104, Resulting Numbers: [47, 104]
Generated Node #0,2,1: 82:[47, 104] Operation: 59+45=104
Exploring Operation: 59-45=14, Resulting Numbers: [47, 14]
Generated Node #0,2,2: 82:[47, 14] Operation: 59-45=14
Exploring Operation: 59+47=106, Resulting Numbers: [45, 106]
Generated Node #0,2,3: 82:[45, 106] Operation: 59+47=106
Exploring Operation: 47-45=2, Resulting Numbers: [59, 2]
Generated Node #0,2,4: 82:[59, 2] Operation: 47-45=2
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 82:[45, 12], Operations: ['48-3=45', '59-47=12']
Exploring Operation: 45*12=540, Resulting Numbers: [540]
540,82 unequal: No Solution
Exploring Operation: 45+12=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 82:[47, 14], Operations: ['48-3=45', '59-45=14']
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,82 unequal: No Solution
Exploring Operation: 47*14=658, Resulting Numbers: [658]
658,82 unequal: No Solution
Exploring Operation: 47+14=61, Resulting Numbers: [61]
61,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 82:[59, 2], Operations: ['48-3=45', '47-45=2']
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Exploring Operation: 59*2=118, Resulting Numbers: [118]
118,82 unequal: No Solution
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 82:[47, 104], Operations: ['48-3=45', '59+45=104']
Exploring Operation: 104-47=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Exploring Operation: 47*104=4888, Resulting Numbers: [4888]
4888,82 unequal: No Solution
Exploring Operation: 47+104=151, Resulting Numbers: [151]
151,82 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 82:[45, 106], Operations: ['48-3=45', '59+47=106']
Exploring Operation: 106-45=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Exploring Operation: 45*106=4770, Resulting Numbers: [4770]
4770,82 unequal: No Solution
Exploring Operation: 45+106=151, Resulting Numbers: [151]
151,82 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: 82:[47, 8], Operations: ['59-3=56', '56-48=8']
Exploring Operation: 47+8=55, Resulting Numbers: [55]
55,82 unequal: No Solution
Exploring Operation: 47*8=376, Resulting Numbers: [376]
376,82 unequal: No Solution
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Moving to Node #0,1,4
Current State: 82:[48, 9], Operations: ['59-3=56', '56-47=9']
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 48*9=432, Resulting Numbers: [432]
432,82 unequal: No Solution
Exploring Operation: 48+9=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Moving to Node #0,4,4
Current State: 82:[1, 56], Operations: ['48-47=1', '59-3=56']
Exploring Operation: 1+56=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,82 unequal: No Solution
Exploring Operation: 1*56=56, Resulting Numbers: [56]
56,82 unequal: No Solution
Exploring Operation: 56/1=56, Resulting Numbers: [56]
56,82 unequal: No Solution
Moving to Node #0,1,3
Current State: 82:[56, 1], Operations: ['59-3=56', '48-47=1']
Exploring Operation: 56*1=56, Resulting Numbers: [56]
56,82 unequal: No Solution
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,82 unequal: No Solution
Exploring Operation: 56/1=56, Resulting Numbers: [56]
56,82 unequal: No Solution
Exploring Operation: 56+1=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Moving to Node #0,4,3
Current State: 82:[3, 58], Operations: ['48-47=1', '59-1=58']
Exploring Operation: 3+58=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Exploring Operation: 3*58=174, Resulting Numbers: [174]
174,82 unequal: No Solution
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,82 unequal: No Solution
Moving to Node #0,4,0
Current State: 82:[59, 2], Operations: ['48-47=1', '3-1=2']
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,82 unequal: No Solution
Exploring Operation: 59*2=118, Resulting Numbers: [118]
118,82 unequal: No Solution
Moving to Node #0,4,2
Current State: 82:[3, 59], Operations: ['48-47=1', '59*1=59']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,82 unequal: No Solution
Exploring Operation: 3*59=177, Resulting Numbers: [177]
177,82 unequal: No Solution
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,82 unequal: No Solution
Moving to Node #0,4,1
Current State: 82:[3, 59], Operations: ['48-47=1', '59/1=59']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,82 unequal: No Solution
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,82 unequal: No Solution
Exploring Operation: 3*59=177, Resulting Numbers: [177]
177,82 unequal: No Solution
Moving to Node #0,1,2
Current State: 82:[56, 95], Operations: ['59-3=56', '48+47=95']
Exploring Operation: 95-56=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 56*95=5320, Resulting Numbers: [5320]
5320,82 unequal: No Solution
Exploring Operation: 56+95=151, Resulting Numbers: [151]
151,82 unequal: No Solution
Moving to Node #0,1,1
Current State: 82:[47, 104], Operations: ['59-3=56', '48+56=104']
Exploring Operation: 47+104=151, Resulting Numbers: [151]
151,82 unequal: No Solution
Exploring Operation: 104-47=57, Resulting Numbers: [57]
57,82 unequal: No Solution
Exploring Operation: 47*104=4888, Resulting Numbers: [4888]
4888,82 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
63,
20,
48,
45
] | 45 | [
"63+45=108",
"20*108=2160",
"2160/48=45"
] | Current State: 45:[63, 20, 48, 45], Operations: []
Exploring Operation: 63+45=108, Resulting Numbers: [20, 48, 108]
Generated Node #2: [20, 48, 108] from Operation: 63+45=108
Current State: 45:[20, 48, 108], Operations: ['63+45=108']
Exploring Operation: 20*108=2160, Resulting Numbers: [48, 2160]
Generated Node #3: [48, 2160] from Operation: 20*108=2160
Current State: 45:[48, 2160], Operations: ['63+45=108', '20*108=2160']
Exploring Operation: 2160/48=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[63, 20, 48, 45], Operations: []
Exploring Operation: 63-20=43, Resulting Numbers: [48, 45, 43]
Generated Node #0,0: 45:[48, 45, 43] Operation: 63-20=43
Moving to Node #0,0
Current State: 45:[48, 45, 43], Operations: ['63-20=43']
Exploring Operation: 48-43=5, Resulting Numbers: [45, 5]
Generated Node #0,0,0: 45:[45, 5] Operation: 48-43=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 45:[45, 5], Operations: ['63-20=43', '48-43=5']
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
30,
49,
27,
27
] | 49 | [
"27-27=0",
"30*0=0",
"49+0=49"
] | Current State: 49:[30, 49, 27, 27], Operations: []
Exploring Operation: 27-27=0, Resulting Numbers: [30, 49, 0]
Generated Node #2: [30, 49, 0] from Operation: 27-27=0
Current State: 49:[30, 49, 0], Operations: ['27-27=0']
Exploring Operation: 30*0=0, Resulting Numbers: [49, 0]
Generated Node #3: [49, 0] from Operation: 30*0=0
Current State: 49:[49, 0], Operations: ['27-27=0', '30*0=0']
Exploring Operation: 49+0=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[30, 49, 27, 27], Operations: []
Exploring Operation: 27/27=1, Resulting Numbers: [30, 49, 1]
Generated Node #0,0: 49:[30, 49, 1] Operation: 27/27=1
Exploring Operation: 27+27=54, Resulting Numbers: [30, 49, 54]
Generated Node #0,1: 49:[30, 49, 54] Operation: 27+27=54
Exploring Operation: 30-27=3, Resulting Numbers: [49, 27, 3]
Generated Node #0,2: 49:[49, 27, 3] Operation: 30-27=3
Exploring Operation: 30-27=3, Resulting Numbers: [49, 27, 3]
Generated Node #0,3: 49:[49, 27, 3] Operation: 30-27=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[30, 49, 54], Operations: ['27+27=54']
Exploring Operation: 30+49=79, Resulting Numbers: [54, 79]
Generated Node #0,1,0: 49:[54, 79] Operation: 30+49=79
Exploring Operation: 49-30=19, Resulting Numbers: [54, 19]
Generated Node #0,1,1: 49:[54, 19] Operation: 49-30=19
Exploring Operation: 54-49=5, Resulting Numbers: [30, 5]
Generated Node #0,1,2: 49:[30, 5] Operation: 54-49=5
Exploring Operation: 54-30=24, Resulting Numbers: [49, 24]
Generated Node #0,1,3: 49:[49, 24] Operation: 54-30=24
Moving to Node #0,1,1
Current State: 49:[54, 19], Operations: ['27+27=54', '49-30=19']
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,49 unequal: No Solution
Exploring Operation: 54+19=73, Resulting Numbers: [73]
73,49 unequal: No Solution
Exploring Operation: 54*19=1026, Resulting Numbers: [1026]
1026,49 unequal: No Solution
Moving to Node #0,1,3
Current State: 49:[49, 24], Operations: ['27+27=54', '54-30=24']
Exploring Operation: 49+24=73, Resulting Numbers: [73]
73,49 unequal: No Solution
Exploring Operation: 49*24=1176, Resulting Numbers: [1176]
1176,49 unequal: No Solution
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,49 unequal: No Solution
Moving to Node #0,1,2
Current State: 49:[30, 5], Operations: ['27+27=54', '54-49=5']
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,49 unequal: No Solution
Exploring Operation: 30*5=150, Resulting Numbers: [150]
150,49 unequal: No Solution
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[54, 79], Operations: ['27+27=54', '30+49=79']
Exploring Operation: 79-54=25, Resulting Numbers: [25]
25,49 unequal: No Solution
Exploring Operation: 54*79=4266, Resulting Numbers: [4266]
4266,49 unequal: No Solution
Exploring Operation: 54+79=133, Resulting Numbers: [133]
133,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 49:[49, 27, 3], Operations: ['30-27=3']
Exploring Operation: 27-3=24, Resulting Numbers: [49, 24]
Generated Node #0,2,0: 49:[49, 24] Operation: 27-3=24
Exploring Operation: 27/3=9, Resulting Numbers: [49, 9]
Generated Node #0,2,1: 49:[49, 9] Operation: 27/3=9
Exploring Operation: 49-27=22, Resulting Numbers: [3, 22]
Generated Node #0,2,2: 49:[3, 22] Operation: 49-27=22
Exploring Operation: 27+3=30, Resulting Numbers: [49, 30]
Generated Node #0,2,3: 49:[49, 30] Operation: 27+3=30
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 49:[49, 9], Operations: ['30-27=3', '27/3=9']
Exploring Operation: 49+9=58, Resulting Numbers: [58]
58,49 unequal: No Solution
Exploring Operation: 49*9=441, Resulting Numbers: [441]
441,49 unequal: No Solution
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,49 unequal: No Solution
No 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: 49:[49, 24], Operations: ['30-27=3', '27-3=24']
Exploring Operation: 49*24=1176, Resulting Numbers: [1176]
1176,49 unequal: No Solution
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,49 unequal: No Solution
Exploring Operation: 49+24=73, Resulting Numbers: [73]
73,49 unequal: No Solution
No 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: 49:[3, 22], Operations: ['30-27=3', '49-27=22']
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,49 unequal: No Solution
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,49 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,49 unequal: No Solution
No 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: 49:[49, 30], Operations: ['30-27=3', '27+3=30']
Exploring Operation: 49*30=1470, Resulting Numbers: [1470]
1470,49 unequal: No Solution
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,49 unequal: No Solution
Exploring Operation: 49+30=79, Resulting Numbers: [79]
79,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 49:[49, 27, 3], Operations: ['30-27=3']
Exploring Operation: 27-3=24, Resulting Numbers: [49, 24]
Generated Node #0,3,0: 49:[49, 24] Operation: 27-3=24
Exploring Operation: 27/3=9, Resulting Numbers: [49, 9]
Generated Node #0,3,1: 49:[49, 9] Operation: 27/3=9
Exploring Operation: 27+3=30, Resulting Numbers: [49, 30]
Generated Node #0,3,2: 49:[49, 30] Operation: 27+3=30
Exploring Operation: 49-27=22, Resulting Numbers: [3, 22]
Generated Node #0,3,3: 49:[3, 22] Operation: 49-27=22
Moving to Node #0,3,1
Current State: 49:[49, 9], Operations: ['30-27=3', '27/3=9']
Exploring Operation: 49+9=58, Resulting Numbers: [58]
58,49 unequal: No Solution
Exploring Operation: 49*9=441, Resulting Numbers: [441]
441,49 unequal: No Solution
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,49 unequal: No Solution
Moving to Node #0,3,0
Current State: 49:[49, 24], Operations: ['30-27=3', '27-3=24']
Exploring Operation: 49-24=25, Resulting Numbers: [25]
25,49 unequal: No Solution
Exploring Operation: 49+24=73, Resulting Numbers: [73]
73,49 unequal: No Solution
Exploring Operation: 49*24=1176, Resulting Numbers: [1176]
1176,49 unequal: No Solution
Moving to Node #0,3,3
Current State: 49:[3, 22], Operations: ['30-27=3', '49-27=22']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,49 unequal: No Solution
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,49 unequal: No Solution
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,49 unequal: No Solution
Moving to Node #0,3,2
Current State: 49:[49, 30], Operations: ['30-27=3', '27+3=30']
Exploring Operation: 49+30=79, Resulting Numbers: [79]
79,49 unequal: No Solution
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,49 unequal: No Solution
Exploring Operation: 49*30=1470, Resulting Numbers: [1470]
1470,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[30, 49, 1], Operations: ['27/27=1']
Exploring Operation: 30*1=30, Resulting Numbers: [49, 30]
Generated Node #0,0,0: 49:[49, 30] Operation: 30*1=30
Exploring Operation: 30/1=30, Resulting Numbers: [49, 30]
Generated Node #0,0,1: 49:[49, 30] Operation: 30/1=30
Exploring Operation: 49-30=19, Resulting Numbers: [1, 19]
Generated Node #0,0,2: 49:[1, 19] Operation: 49-30=19
Exploring Operation: 30+1=31, Resulting Numbers: [49, 31]
Generated Node #0,0,3: 49:[49, 31] Operation: 30+1=31
Moving to Node #0,0,2
Current State: 49:[1, 19], Operations: ['27/27=1', '49-30=19']
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,49 unequal: No Solution
Exploring Operation: 1+19=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Exploring Operation: 19-1=18, Resulting Numbers: [18]
18,49 unequal: No Solution
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,49 unequal: No Solution
Moving to Node #0,0,3
Current State: 49:[49, 31], Operations: ['27/27=1', '30+1=31']
Exploring Operation: 49+31=80, Resulting Numbers: [80]
80,49 unequal: No Solution
Exploring Operation: 49-31=18, Resulting Numbers: [18]
18,49 unequal: No Solution
Exploring Operation: 49*31=1519, Resulting Numbers: [1519]
1519,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[49, 30], Operations: ['27/27=1', '30/1=30']
Exploring Operation: 49+30=79, Resulting Numbers: [79]
79,49 unequal: No Solution
Exploring Operation: 49*30=1470, Resulting Numbers: [1470]
1470,49 unequal: No Solution
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,49 unequal: No Solution
Moving to Node #0,0,0
Current State: 49:[49, 30], Operations: ['27/27=1', '30*1=30']
Exploring Operation: 49+30=79, Resulting Numbers: [79]
79,49 unequal: No Solution
Exploring Operation: 49*30=1470, Resulting Numbers: [1470]
1470,49 unequal: No Solution
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
68,
41,
5,
81
] | 76 | [
"81-41=40",
"40/5=8",
"68+8=76"
] | Current State: 76:[68, 41, 5, 81], Operations: []
Exploring Operation: 81-41=40, Resulting Numbers: [68, 5, 40]
Generated Node #2: [68, 5, 40] from Operation: 81-41=40
Current State: 76:[68, 5, 40], Operations: ['81-41=40']
Exploring Operation: 40/5=8, Resulting Numbers: [68, 8]
Generated Node #3: [68, 8] from Operation: 40/5=8
Current State: 76:[68, 8], Operations: ['81-41=40', '40/5=8']
Exploring Operation: 68+8=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[68, 41, 5, 81], Operations: []
Exploring Operation: 81-41=40, Resulting Numbers: [68, 5, 40]
Generated Node #0,0: 76:[68, 5, 40] Operation: 81-41=40
Exploring Operation: 68+5=73, Resulting Numbers: [41, 81, 73]
Generated Node #0,1: 76:[41, 81, 73] Operation: 68+5=73
Exploring Operation: 81-68=13, Resulting Numbers: [41, 5, 13]
Generated Node #0,2: 76:[41, 5, 13] Operation: 81-68=13
Exploring Operation: 81-5=76, Resulting Numbers: [68, 41, 76]
Generated Node #0,3: 76:[68, 41, 76] Operation: 81-5=76
Moving to Node #0,2
Current State: 76:[41, 5, 13], Operations: ['81-68=13']
Exploring Operation: 13-5=8, Resulting Numbers: [41, 8]
Generated Node #0,2,0: 76:[41, 8] Operation: 13-5=8
Exploring Operation: 41-5=36, Resulting Numbers: [13, 36]
Generated Node #0,2,1: 76:[13, 36] Operation: 41-5=36
Exploring Operation: 41-13=28, Resulting Numbers: [5, 28]
Generated Node #0,2,2: 76:[5, 28] Operation: 41-13=28
Exploring Operation: 5+13=18, Resulting Numbers: [41, 18]
Generated Node #0,2,3: 76:[41, 18] Operation: 5+13=18
Moving to Node #0,1
Current State: 76:[41, 81, 73], Operations: ['68+5=73']
Exploring Operation: 73-41=32, Resulting Numbers: [81, 32]
Generated Node #0,1,0: 76:[81, 32] Operation: 73-41=32
Exploring Operation: 81-73=8, Resulting Numbers: [41, 8]
Generated Node #0,1,1: 76:[41, 8] Operation: 81-73=8
Exploring Operation: 41+73=114, Resulting Numbers: [81, 114]
Generated Node #0,1,2: 76:[81, 114] Operation: 41+73=114
Exploring Operation: 81-41=40, Resulting Numbers: [73, 40]
Generated Node #0,1,3: 76:[73, 40] Operation: 81-41=40
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 76:[73, 40], Operations: ['68+5=73', '81-41=40']
Exploring Operation: 73*40=2920, Resulting Numbers: [2920]
2920,76 unequal: No Solution
Exploring Operation: 73+40=113, Resulting Numbers: [113]
113,76 unequal: No Solution
Exploring Operation: 73-40=33, Resulting Numbers: [33]
33,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 76:[41, 8], Operations: ['68+5=73', '81-73=8']
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Exploring Operation: 41+8=49, Resulting Numbers: [49]
49,76 unequal: No Solution
Exploring Operation: 41*8=328, Resulting Numbers: [328]
328,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 76:[81, 32], Operations: ['68+5=73', '73-41=32']
Exploring Operation: 81-32=49, Resulting Numbers: [49]
49,76 unequal: No Solution
Exploring Operation: 81*32=2592, Resulting Numbers: [2592]
2592,76 unequal: No Solution
Exploring Operation: 81+32=113, Resulting Numbers: [113]
113,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 76:[81, 114], Operations: ['68+5=73', '41+73=114']
Exploring Operation: 81+114=195, Resulting Numbers: [195]
195,76 unequal: No Solution
Exploring Operation: 81*114=9234, Resulting Numbers: [9234]
9234,76 unequal: No Solution
Exploring Operation: 114-81=33, Resulting Numbers: [33]
33,76 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:[68, 5, 40], Operations: ['81-41=40']
Exploring Operation: 68-40=28, Resulting Numbers: [5, 28]
Generated Node #0,0,0: 76:[5, 28] Operation: 68-40=28
Exploring Operation: 40/5=8, Resulting Numbers: [68, 8]
Generated Node #0,0,1: 76:[68, 8] Operation: 40/5=8
Exploring Operation: 68+5=73, Resulting Numbers: [40, 73]
Generated Node #0,0,2: 76:[40, 73] Operation: 68+5=73
Exploring Operation: 40-5=35, Resulting Numbers: [68, 35]
Generated Node #0,0,3: 76:[68, 35] Operation: 40-5=35
Moving to Node #0,3
Current State: 76:[68, 41, 76], Operations: ['81-5=76']
Exploring Operation: 68+41=109, Resulting Numbers: [76, 109]
Generated Node #0,3,0: 76:[76, 109] Operation: 68+41=109
Exploring Operation: 68-41=27, Resulting Numbers: [76, 27]
Generated Node #0,3,1: 76:[76, 27] Operation: 68-41=27
Exploring Operation: 76-68=8, Resulting Numbers: [41, 8]
Generated Node #0,3,2: 76:[41, 8] Operation: 76-68=8
Exploring Operation: 76-41=35, Resulting Numbers: [68, 35]
Generated Node #0,3,3: 76:[68, 35] Operation: 76-41=35
Moving to Node #0,2,3
Current State: 76:[41, 18], Operations: ['81-68=13', '5+13=18']
Exploring Operation: 41*18=738, Resulting Numbers: [738]
738,76 unequal: No Solution
Exploring Operation: 41-18=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 41+18=59, Resulting Numbers: [59]
59,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[40, 73], Operations: ['81-41=40', '68+5=73']
Exploring Operation: 73-40=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Exploring Operation: 40+73=113, Resulting Numbers: [113]
113,76 unequal: No Solution
Exploring Operation: 40*73=2920, Resulting Numbers: [2920]
2920,76 unequal: No Solution
Moving to Node #0,2,0
Current State: 76:[41, 8], Operations: ['81-68=13', '13-5=8']
Exploring Operation: 41*8=328, Resulting Numbers: [328]
328,76 unequal: No Solution
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Exploring Operation: 41+8=49, Resulting Numbers: [49]
49,76 unequal: No Solution
Moving to Node #0,3,2
Current State: 76:[41, 8], Operations: ['81-5=76', '76-68=8']
Exploring Operation: 41*8=328, Resulting Numbers: [328]
328,76 unequal: No Solution
Exploring Operation: 41+8=49, Resulting Numbers: [49]
49,76 unequal: No Solution
Exploring Operation: 41-8=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Moving to Node #0,2,1
Current State: 76:[13, 36], Operations: ['81-68=13', '41-5=36']
Exploring Operation: 13+36=49, Resulting Numbers: [49]
49,76 unequal: No Solution
Exploring Operation: 13*36=468, Resulting Numbers: [468]
468,76 unequal: No Solution
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Moving to Node #0,3,1
Current State: 76:[76, 27], Operations: ['81-5=76', '68-41=27']
Exploring Operation: 76-27=49, Resulting Numbers: [49]
49,76 unequal: No Solution
Exploring Operation: 76*27=2052, Resulting Numbers: [2052]
2052,76 unequal: No Solution
Exploring Operation: 76+27=103, Resulting Numbers: [103]
103,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[5, 28], Operations: ['81-41=40', '68-40=28']
Exploring Operation: 5*28=140, Resulting Numbers: [140]
140,76 unequal: No Solution
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Moving to Node #0,2,2
Current State: 76:[5, 28], Operations: ['81-68=13', '41-13=28']
Exploring Operation: 5*28=140, Resulting Numbers: [140]
140,76 unequal: No Solution
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Moving to Node #0,3,3
Current State: 76:[68, 35], Operations: ['81-5=76', '76-41=35']
Exploring Operation: 68*35=2380, Resulting Numbers: [2380]
2380,76 unequal: No Solution
Exploring Operation: 68+35=103, Resulting Numbers: [103]
103,76 unequal: No Solution
Exploring Operation: 68-35=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Moving to Node #0,0,3
Current State: 76:[68, 35], Operations: ['81-41=40', '40-5=35']
Exploring Operation: 68*35=2380, Resulting Numbers: [2380]
2380,76 unequal: No Solution
Exploring Operation: 68-35=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Exploring Operation: 68+35=103, Resulting Numbers: [103]
103,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[68, 8], Operations: ['81-41=40', '40/5=8']
Exploring Operation: 68+8=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[68, 41, 5, 81], Operations: []
Exploring Operation: 81-41=40, Resulting Numbers: [68, 5, 40]
Generated Node #0,0: 76:[68, 5, 40] Operation: 81-41=40
Moving to Node #0,0
Current State: 76:[68, 5, 40], Operations: ['81-41=40']
Exploring Operation: 40/5=8, Resulting Numbers: [68, 8]
Generated Node #0,0,1: 76:[68, 8] Operation: 40/5=8
Moving to Node #0,0,1
Current State: 76:[68, 8], Operations: ['81-41=40', '40/5=8']
Exploring Operation: 68+8=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 0.94184 | hs_4 | sum_heuristic |
[
5,
9,
7,
83
] | 80 | [
"9-5=4",
"83-7=76",
"4+76=80"
] | Current State: 80:[5, 9, 7, 83], Operations: []
Exploring Operation: 9-5=4, Resulting Numbers: [7, 83, 4]
Generated Node #2: [7, 83, 4] from Operation: 9-5=4
Current State: 80:[7, 83, 4], Operations: ['9-5=4']
Exploring Operation: 83-7=76, Resulting Numbers: [4, 76]
Generated Node #3: [4, 76] from Operation: 83-7=76
Current State: 80:[4, 76], Operations: ['9-5=4', '83-7=76']
Exploring Operation: 4+76=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[5, 9, 7, 83], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [5, 83, 2]
Generated Node #0,0: 80:[5, 83, 2] Operation: 9-7=2
Exploring Operation: 9-5=4, Resulting Numbers: [7, 83, 4]
Generated Node #0,1: 80:[7, 83, 4] Operation: 9-5=4
Exploring Operation: 7-5=2, Resulting Numbers: [9, 83, 2]
Generated Node #0,2: 80:[9, 83, 2] Operation: 7-5=2
Exploring Operation: 9+7=16, Resulting Numbers: [5, 83, 16]
Generated Node #0,3: 80:[5, 83, 16] Operation: 9+7=16
Moving to Node #0,0
Current State: 80:[5, 83, 2], Operations: ['9-7=2']
Exploring Operation: 5+2=7, Resulting Numbers: [83, 7]
Generated Node #0,0,0: 80:[83, 7] Operation: 5+2=7
Exploring Operation: 5*2=10, Resulting Numbers: [83, 10]
Generated Node #0,0,1: 80:[83, 10] Operation: 5*2=10
Exploring Operation: 83-2=81, Resulting Numbers: [5, 81]
Generated Node #0,0,2: 80:[5, 81] Operation: 83-2=81
Exploring Operation: 83-5=78, Resulting Numbers: [2, 78]
Generated Node #0,0,3: 80:[2, 78] Operation: 83-5=78
Moving to Node #0,3
Current State: 80:[5, 83, 16], Operations: ['9+7=16']
Exploring Operation: 5*16=80, Resulting Numbers: [83, 80]
Generated Node #0,3,0: 80:[83, 80] Operation: 5*16=80
Exploring Operation: 16-5=11, Resulting Numbers: [83, 11]
Generated Node #0,3,1: 80:[83, 11] Operation: 16-5=11
Exploring Operation: 5+16=21, Resulting Numbers: [83, 21]
Generated Node #0,3,2: 80:[83, 21] Operation: 5+16=21
Exploring Operation: 83-5=78, Resulting Numbers: [16, 78]
Generated Node #0,3,3: 80:[16, 78] Operation: 83-5=78
Moving to Node #0,2
Current State: 80:[9, 83, 2], Operations: ['7-5=2']
Exploring Operation: 83-2=81, Resulting Numbers: [9, 81]
Generated Node #0,2,0: 80:[9, 81] Operation: 83-2=81
Exploring Operation: 9-2=7, Resulting Numbers: [83, 7]
Generated Node #0,2,1: 80:[83, 7] Operation: 9-2=7
Exploring Operation: 9*2=18, Resulting Numbers: [83, 18]
Generated Node #0,2,2: 80:[83, 18] Operation: 9*2=18
Exploring Operation: 9+2=11, Resulting Numbers: [83, 11]
Generated Node #0,2,3: 80:[83, 11] Operation: 9+2=11
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 80:[9, 81], Operations: ['7-5=2', '83-2=81']
Exploring Operation: 81-9=72, Resulting Numbers: [72]
72,80 unequal: No Solution
Exploring Operation: 9*81=729, Resulting Numbers: [729]
729,80 unequal: No Solution
Exploring Operation: 9+81=90, Resulting Numbers: [90]
90,80 unequal: No Solution
Exploring Operation: 81/9=9, Resulting Numbers: [9]
9,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 80:[83, 7], Operations: ['7-5=2', '9-2=7']
Exploring Operation: 83+7=90, Resulting Numbers: [90]
90,80 unequal: No Solution
Exploring Operation: 83-7=76, Resulting Numbers: [76]
76,80 unequal: No Solution
Exploring Operation: 83*7=581, Resulting Numbers: [581]
581,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 80:[83, 11], Operations: ['7-5=2', '9+2=11']
Exploring Operation: 83*11=913, Resulting Numbers: [913]
913,80 unequal: No Solution
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,80 unequal: No Solution
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 80:[83, 18], Operations: ['7-5=2', '9*2=18']
Exploring Operation: 83*18=1494, Resulting Numbers: [1494]
1494,80 unequal: No Solution
Exploring Operation: 83-18=65, Resulting Numbers: [65]
65,80 unequal: No Solution
Exploring Operation: 83+18=101, Resulting Numbers: [101]
101,80 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: 80:[7, 83, 4], Operations: ['9-5=4']
Exploring Operation: 7-4=3, Resulting Numbers: [83, 3]
Generated Node #0,1,0: 80:[83, 3] Operation: 7-4=3
Exploring Operation: 7+4=11, Resulting Numbers: [83, 11]
Generated Node #0,1,1: 80:[83, 11] Operation: 7+4=11
Exploring Operation: 83-7=76, Resulting Numbers: [4, 76]
Generated Node #0,1,2: 80:[4, 76] Operation: 83-7=76
Exploring Operation: 83-4=79, Resulting Numbers: [7, 79]
Generated Node #0,1,3: 80:[7, 79] Operation: 83-4=79
Moving to Node #0,0,2
Current State: 80:[5, 81], Operations: ['9-7=2', '83-2=81']
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,80 unequal: No Solution
Exploring Operation: 5+81=86, Resulting Numbers: [86]
86,80 unequal: No Solution
Exploring Operation: 5*81=405, Resulting Numbers: [405]
405,80 unequal: No Solution
Moving to Node #0,0,3
Current State: 80:[2, 78], Operations: ['9-7=2', '83-5=78']
Exploring Operation: 2+78=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[5, 9, 7, 83], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [5, 83, 2]
Generated Node #0,0: 80:[5, 83, 2] Operation: 9-7=2
Moving to Node #0,0
Current State: 80:[5, 83, 2], Operations: ['9-7=2']
Exploring Operation: 83-5=78, Resulting Numbers: [2, 78]
Generated Node #0,0,3: 80:[2, 78] Operation: 83-5=78
Moving to Node #0,0,3
Current State: 80:[2, 78], Operations: ['9-7=2', '83-5=78']
Exploring Operation: 2+78=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 0.96441 | hs_4 | mult_heuristic |
[
16,
35,
90,
13
] | 15 | [
"35-16=19",
"19-13=6",
"90/6=15"
] | Current State: 15:[16, 35, 90, 13], Operations: []
Exploring Operation: 35-16=19, Resulting Numbers: [90, 13, 19]
Generated Node #2: [90, 13, 19] from Operation: 35-16=19
Current State: 15:[90, 13, 19], Operations: ['35-16=19']
Exploring Operation: 19-13=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 19-13=6
Current State: 15:[90, 6], Operations: ['35-16=19', '19-13=6']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[16, 35, 90, 13], Operations: []
Exploring Operation: 90-35=55, Resulting Numbers: [16, 13, 55]
Generated Node #0,0: 15:[16, 13, 55] Operation: 90-35=55
Moving to Node #0,0
Current State: 15:[16, 13, 55], Operations: ['90-35=55']
Exploring Operation: 55-16=39, Resulting Numbers: [13, 39]
Generated Node #0,0,0: 15:[13, 39] Operation: 55-16=39
Moving to Node #0,0,0
Current State: 15:[13, 39], Operations: ['90-35=55', '55-16=39']
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,15 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
52,
72,
14,
48
] | 92 | [
"52*72=3744",
"3744/48=78",
"14+78=92"
] | Current State: 92:[52, 72, 14, 48], Operations: []
Exploring Operation: 52*72=3744, Resulting Numbers: [14, 48, 3744]
Generated Node #2: [14, 48, 3744] from Operation: 52*72=3744
Current State: 92:[14, 48, 3744], Operations: ['52*72=3744']
Exploring Operation: 3744/48=78, Resulting Numbers: [14, 78]
Generated Node #3: [14, 78] from Operation: 3744/48=78
Current State: 92:[14, 78], Operations: ['52*72=3744', '3744/48=78']
Exploring Operation: 14+78=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[52, 72, 14, 48], Operations: []
Exploring Operation: 72-48=24, Resulting Numbers: [52, 14, 24]
Generated Node #0,0: 92:[52, 14, 24] Operation: 72-48=24
Exploring Operation: 72-52=20, Resulting Numbers: [14, 48, 20]
Generated Node #0,1: 92:[14, 48, 20] Operation: 72-52=20
Exploring Operation: 72-14=58, Resulting Numbers: [52, 48, 58]
Generated Node #0,2: 92:[52, 48, 58] Operation: 72-14=58
Exploring Operation: 52-48=4, Resulting Numbers: [72, 14, 4]
Generated Node #0,3: 92:[72, 14, 4] Operation: 52-48=4
Exploring Operation: 72+14=86, Resulting Numbers: [52, 48, 86]
Generated Node #0,4: 92:[52, 48, 86] Operation: 72+14=86
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[14, 48, 20], Operations: ['72-52=20']
Exploring Operation: 48-20=28, Resulting Numbers: [14, 28]
Generated Node #0,1,0: 92:[14, 28] Operation: 48-20=28
Exploring Operation: 14+48=62, Resulting Numbers: [20, 62]
Generated Node #0,1,1: 92:[20, 62] Operation: 14+48=62
Exploring Operation: 48-14=34, Resulting Numbers: [20, 34]
Generated Node #0,1,2: 92:[20, 34] Operation: 48-14=34
Exploring Operation: 20-14=6, Resulting Numbers: [48, 6]
Generated Node #0,1,3: 92:[48, 6] Operation: 20-14=6
Exploring Operation: 14+20=34, Resulting Numbers: [48, 34]
Generated Node #0,1,4: 92:[48, 34] Operation: 14+20=34
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 92:[48, 6], Operations: ['72-52=20', '20-14=6']
Exploring Operation: 48*6=288, Resulting Numbers: [288]
288,92 unequal: No Solution
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,92 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 92:[48, 34], Operations: ['72-52=20', '14+20=34']
Exploring Operation: 48+34=82, Resulting Numbers: [82]
82,92 unequal: No Solution
Exploring Operation: 48*34=1632, Resulting Numbers: [1632]
1632,92 unequal: No Solution
Exploring Operation: 48-34=14, Resulting Numbers: [14]
14,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 92:[14, 28], Operations: ['72-52=20', '48-20=28']
Exploring Operation: 14*28=392, Resulting Numbers: [392]
392,92 unequal: No Solution
Exploring Operation: 14+28=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,92 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 92:[20, 34], Operations: ['72-52=20', '48-14=34']
Exploring Operation: 20*34=680, Resulting Numbers: [680]
680,92 unequal: No Solution
Exploring Operation: 34-20=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Exploring Operation: 20+34=54, Resulting Numbers: [54]
54,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 92:[20, 62], Operations: ['72-52=20', '14+48=62']
Exploring Operation: 62-20=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 20+62=82, Resulting Numbers: [82]
82,92 unequal: No Solution
Exploring Operation: 20*62=1240, Resulting Numbers: [1240]
1240,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 92:[52, 48, 86], Operations: ['72+14=86']
Exploring Operation: 52+48=100, Resulting Numbers: [86, 100]
Generated Node #0,4,0: 92:[86, 100] Operation: 52+48=100
Exploring Operation: 52+86=138, Resulting Numbers: [48, 138]
Generated Node #0,4,1: 92:[48, 138] Operation: 52+86=138
Exploring Operation: 86-48=38, Resulting Numbers: [52, 38]
Generated Node #0,4,2: 92:[52, 38] Operation: 86-48=38
Exploring Operation: 86-52=34, Resulting Numbers: [48, 34]
Generated Node #0,4,3: 92:[48, 34] Operation: 86-52=34
Exploring Operation: 52-48=4, Resulting Numbers: [86, 4]
Generated Node #0,4,4: 92:[86, 4] Operation: 52-48=4
Moving to Node #0,4,4
Current State: 92:[86, 4], Operations: ['72+14=86', '52-48=4']
Exploring Operation: 86*4=344, Resulting Numbers: [344]
344,92 unequal: No Solution
Exploring Operation: 86+4=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,92 unequal: No Solution
Moving to Node #0,4,3
Current State: 92:[48, 34], Operations: ['72+14=86', '86-52=34']
Exploring Operation: 48+34=82, Resulting Numbers: [82]
82,92 unequal: No Solution
Exploring Operation: 48*34=1632, Resulting Numbers: [1632]
1632,92 unequal: No Solution
Exploring Operation: 48-34=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Moving to Node #0,4,0
Current State: 92:[86, 100], Operations: ['72+14=86', '52+48=100']
Exploring Operation: 100-86=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Exploring Operation: 86+100=186, Resulting Numbers: [186]
186,92 unequal: No Solution
Exploring Operation: 86*100=8600, Resulting Numbers: [8600]
8600,92 unequal: No Solution
Moving to Node #0,4,2
Current State: 92:[52, 38], Operations: ['72+14=86', '86-48=38']
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Exploring Operation: 52+38=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 52*38=1976, Resulting Numbers: [1976]
1976,92 unequal: No Solution
Moving to Node #0,4,1
Current State: 92:[48, 138], Operations: ['72+14=86', '52+86=138']
Exploring Operation: 138-48=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 48*138=6624, Resulting Numbers: [6624]
6624,92 unequal: No Solution
Exploring Operation: 48+138=186, Resulting Numbers: [186]
186,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[52, 14, 24], Operations: ['72-48=24']
Exploring Operation: 52+14=66, Resulting Numbers: [24, 66]
Generated Node #0,0,0: 92:[24, 66] Operation: 52+14=66
Exploring Operation: 52-24=28, Resulting Numbers: [14, 28]
Generated Node #0,0,1: 92:[14, 28] Operation: 52-24=28
Exploring Operation: 24-14=10, Resulting Numbers: [52, 10]
Generated Node #0,0,2: 92:[52, 10] Operation: 24-14=10
Exploring Operation: 14+24=38, Resulting Numbers: [52, 38]
Generated Node #0,0,3: 92:[52, 38] Operation: 14+24=38
Exploring Operation: 52-14=38, Resulting Numbers: [24, 38]
Generated Node #0,0,4: 92:[24, 38] Operation: 52-14=38
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 92:[24, 38], Operations: ['72-48=24', '52-14=38']
Exploring Operation: 24*38=912, Resulting Numbers: [912]
912,92 unequal: No Solution
Exploring Operation: 24+38=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 92:[52, 10], Operations: ['72-48=24', '24-14=10']
Exploring Operation: 52+10=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 52*10=520, Resulting Numbers: [520]
520,92 unequal: No Solution
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 92:[14, 28], Operations: ['72-48=24', '52-24=28']
Exploring Operation: 14+28=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,92 unequal: No Solution
Exploring Operation: 14*28=392, Resulting Numbers: [392]
392,92 unequal: No Solution
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 92:[52, 38], Operations: ['72-48=24', '14+24=38']
Exploring Operation: 52*38=1976, Resulting Numbers: [1976]
1976,92 unequal: No Solution
Exploring Operation: 52+38=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[24, 66], Operations: ['72-48=24', '52+14=66']
Exploring Operation: 24*66=1584, Resulting Numbers: [1584]
1584,92 unequal: No Solution
Exploring Operation: 24+66=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[52, 48, 58], Operations: ['72-14=58']
Exploring Operation: 58-48=10, Resulting Numbers: [52, 10]
Generated Node #0,2,0: 92:[52, 10] Operation: 58-48=10
Exploring Operation: 52+58=110, Resulting Numbers: [48, 110]
Generated Node #0,2,1: 92:[48, 110] Operation: 52+58=110
Exploring Operation: 52-48=4, Resulting Numbers: [58, 4]
Generated Node #0,2,2: 92:[58, 4] Operation: 52-48=4
Exploring Operation: 52+48=100, Resulting Numbers: [58, 100]
Generated Node #0,2,3: 92:[58, 100] Operation: 52+48=100
Exploring Operation: 58-52=6, Resulting Numbers: [48, 6]
Generated Node #0,2,4: 92:[48, 6] Operation: 58-52=6
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 92:[48, 6], Operations: ['72-14=58', '58-52=6']
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,92 unequal: No Solution
Exploring Operation: 48*6=288, Resulting Numbers: [288]
288,92 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,92 unequal: No Solution
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 92:[52, 10], Operations: ['72-14=58', '58-48=10']
Exploring Operation: 52+10=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 52*10=520, Resulting Numbers: [520]
520,92 unequal: No Solution
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 92:[58, 4], Operations: ['72-14=58', '52-48=4']
Exploring Operation: 58*4=232, Resulting Numbers: [232]
232,92 unequal: No Solution
Exploring Operation: 58+4=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 92:[48, 110], Operations: ['72-14=58', '52+58=110']
Exploring Operation: 110-48=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 48+110=158, Resulting Numbers: [158]
158,92 unequal: No Solution
Exploring Operation: 48*110=5280, Resulting Numbers: [5280]
5280,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 92:[58, 100], Operations: ['72-14=58', '52+48=100']
Exploring Operation: 58+100=158, Resulting Numbers: [158]
158,92 unequal: No Solution
Exploring Operation: 58*100=5800, Resulting Numbers: [5800]
5800,92 unequal: No Solution
Exploring Operation: 100-58=42, Resulting Numbers: [42]
42,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 92:[72, 14, 4], Operations: ['52-48=4']
Exploring Operation: 72/4=18, Resulting Numbers: [14, 18]
Generated Node #0,3,0: 92:[14, 18] Operation: 72/4=18
Exploring Operation: 72+4=76, Resulting Numbers: [14, 76]
Generated Node #0,3,1: 92:[14, 76] Operation: 72+4=76
Exploring Operation: 72-14=58, Resulting Numbers: [4, 58]
Generated Node #0,3,2: 92:[4, 58] Operation: 72-14=58
Exploring Operation: 72+14=86, Resulting Numbers: [4, 86]
Generated Node #0,3,3: 92:[4, 86] Operation: 72+14=86
Exploring Operation: 14+4=18, Resulting Numbers: [72, 18]
Generated Node #0,3,4: 92:[72, 18] Operation: 14+4=18
Moving to Node #0,3,3
Current State: 92:[4, 86], Operations: ['52-48=4', '72+14=86']
Exploring Operation: 86-4=82, Resulting Numbers: [82]
82,92 unequal: No Solution
Exploring Operation: 4*86=344, Resulting Numbers: [344]
344,92 unequal: No Solution
Exploring Operation: 4+86=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Moving to Node #0,3,2
Current State: 92:[4, 58], Operations: ['52-48=4', '72-14=58']
Exploring Operation: 4+58=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,92 unequal: No Solution
Exploring Operation: 4*58=232, Resulting Numbers: [232]
232,92 unequal: No Solution
Moving to Node #0,3,0
Current State: 92:[14, 18], Operations: ['52-48=4', '72/4=18']
Exploring Operation: 14*18=252, Resulting Numbers: [252]
252,92 unequal: No Solution
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,92 unequal: No Solution
Exploring Operation: 14+18=32, Resulting Numbers: [32]
32,92 unequal: No Solution
Moving to Node #0,3,1
Current State: 92:[14, 76], Operations: ['52-48=4', '72+4=76']
Exploring Operation: 14*76=1064, Resulting Numbers: [1064]
1064,92 unequal: No Solution
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 14+76=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Moving to Node #0,3,4
Current State: 92:[72, 18], Operations: ['52-48=4', '14+4=18']
Exploring Operation: 72*18=1296, Resulting Numbers: [1296]
1296,92 unequal: No Solution
Exploring Operation: 72+18=90, Resulting Numbers: [90]
90,92 unequal: No Solution
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,92 unequal: No Solution
Exploring Operation: 72/18=4, Resulting Numbers: [4]
4,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
63,
36,
36,
65
] | 65 | [
"36-36=0",
"63*0=0",
"65+0=65"
] | Current State: 65:[63, 36, 36, 65], Operations: []
Exploring Operation: 36-36=0, Resulting Numbers: [63, 65, 0]
Generated Node #2: [63, 65, 0] from Operation: 36-36=0
Current State: 65:[63, 65, 0], Operations: ['36-36=0']
Exploring Operation: 63*0=0, Resulting Numbers: [65, 0]
Generated Node #3: [65, 0] from Operation: 63*0=0
Current State: 65:[65, 0], Operations: ['36-36=0', '63*0=0']
Exploring Operation: 65+0=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[63, 36, 36, 65], Operations: []
Exploring Operation: 36/36=1, Resulting Numbers: [63, 65, 1]
Generated Node #0,0: 65:[63, 65, 1] Operation: 36/36=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[63, 65, 1], Operations: ['36/36=1']
Exploring Operation: 63+1=64, Resulting Numbers: [65, 64]
Generated Node #0,0,0: 65:[65, 64] Operation: 63+1=64
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 65:[65, 64], Operations: ['36/36=1', '63+1=64']
Exploring Operation: 65-64=1, Resulting Numbers: [1]
1,65 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 |
[
15,
42,
35,
8
] | 29 | [
"15-8=7",
"42/7=6",
"35-6=29"
] | Current State: 29:[15, 42, 35, 8], Operations: []
Exploring Operation: 15-8=7, Resulting Numbers: [42, 35, 7]
Generated Node #2: [42, 35, 7] from Operation: 15-8=7
Current State: 29:[42, 35, 7], Operations: ['15-8=7']
Exploring Operation: 42/7=6, Resulting Numbers: [35, 6]
Generated Node #3: [35, 6] from Operation: 42/7=6
Current State: 29:[35, 6], Operations: ['15-8=7', '42/7=6']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[15, 42, 35, 8], Operations: []
Exploring Operation: 15+8=23, Resulting Numbers: [42, 35, 23]
Generated Node #0,0: 29:[42, 35, 23] Operation: 15+8=23
Moving to Node #0,0
Current State: 29:[42, 35, 23], Operations: ['15+8=23']
Exploring Operation: 42-23=19, Resulting Numbers: [35, 19]
Generated Node #0,0,0: 29:[35, 19] Operation: 42-23=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[35, 19], Operations: ['15+8=23', '42-23=19']
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
23,
80,
91,
83
] | 65 | [
"80-23=57",
"91-83=8",
"57+8=65"
] | Current State: 65:[23, 80, 91, 83], Operations: []
Exploring Operation: 80-23=57, Resulting Numbers: [91, 83, 57]
Generated Node #2: [91, 83, 57] from Operation: 80-23=57
Current State: 65:[91, 83, 57], Operations: ['80-23=57']
Exploring Operation: 91-83=8, Resulting Numbers: [57, 8]
Generated Node #3: [57, 8] from Operation: 91-83=8
Current State: 65:[57, 8], Operations: ['80-23=57', '91-83=8']
Exploring Operation: 57+8=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[23, 80, 91, 83], Operations: []
Exploring Operation: 83-80=3, Resulting Numbers: [23, 91, 3]
Generated Node #0,0: 65:[23, 91, 3] Operation: 83-80=3
Exploring Operation: 91-80=11, Resulting Numbers: [23, 83, 11]
Generated Node #0,1: 65:[23, 83, 11] Operation: 91-80=11
Exploring Operation: 91-83=8, Resulting Numbers: [23, 80, 8]
Generated Node #0,2: 65:[23, 80, 8] Operation: 91-83=8
Exploring Operation: 91-23=68, Resulting Numbers: [80, 83, 68]
Generated Node #0,3: 65:[80, 83, 68] Operation: 91-23=68
Exploring Operation: 83-23=60, Resulting Numbers: [80, 91, 60]
Generated Node #0,4: 65:[80, 91, 60] Operation: 83-23=60
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[23, 80, 8], Operations: ['91-83=8']
Exploring Operation: 23-8=15, Resulting Numbers: [80, 15]
Generated Node #0,2,0: 65:[80, 15] Operation: 23-8=15
Exploring Operation: 80/8=10, Resulting Numbers: [23, 10]
Generated Node #0,2,1: 65:[23, 10] Operation: 80/8=10
Exploring Operation: 23+8=31, Resulting Numbers: [80, 31]
Generated Node #0,2,2: 65:[80, 31] Operation: 23+8=31
Exploring Operation: 80-8=72, Resulting Numbers: [23, 72]
Generated Node #0,2,3: 65:[23, 72] Operation: 80-8=72
Exploring Operation: 80-23=57, Resulting Numbers: [8, 57]
Generated Node #0,2,4: 65:[8, 57] Operation: 80-23=57
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 65:[8, 57], Operations: ['91-83=8', '80-23=57']
Exploring Operation: 8+57=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[23, 80, 91, 83], Operations: []
Exploring Operation: 91-83=8, Resulting Numbers: [23, 80, 8]
Generated Node #0,2: 65:[23, 80, 8] Operation: 91-83=8
Moving to Node #0,2
Current State: 65:[23, 80, 8], Operations: ['91-83=8']
Exploring Operation: 80-23=57, Resulting Numbers: [8, 57]
Generated Node #0,2,4: 65:[8, 57] Operation: 80-23=57
Moving to Node #0,2,4
Current State: 65:[8, 57], Operations: ['91-83=8', '80-23=57']
Exploring Operation: 8+57=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
41,
97,
95,
91
] | 52 | [
"97-41=56",
"95-91=4",
"56-4=52"
] | Current State: 52:[41, 97, 95, 91], Operations: []
Exploring Operation: 97-41=56, Resulting Numbers: [95, 91, 56]
Generated Node #2: [95, 91, 56] from Operation: 97-41=56
Current State: 52:[95, 91, 56], Operations: ['97-41=56']
Exploring Operation: 95-91=4, Resulting Numbers: [56, 4]
Generated Node #3: [56, 4] from Operation: 95-91=4
Current State: 52:[56, 4], Operations: ['97-41=56', '95-91=4']
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[41, 97, 95, 91], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [41, 91, 2]
Generated Node #0,0: 52:[41, 91, 2] Operation: 97-95=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[41, 91, 2], Operations: ['97-95=2']
Exploring Operation: 91-41=50, Resulting Numbers: [2, 50]
Generated Node #0,0,0: 52:[2, 50] Operation: 91-41=50
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 52:[2, 50], Operations: ['97-95=2', '91-41=50']
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[41, 97, 95, 91], Operations: []
Exploring Operation: 97-95=2, Resulting Numbers: [41, 91, 2]
Generated Node #0,0: 52:[41, 91, 2] Operation: 97-95=2
Moving to Node #0,0
Current State: 52:[41, 91, 2], Operations: ['97-95=2']
Exploring Operation: 91-41=50, Resulting Numbers: [2, 50]
Generated Node #0,0,0: 52:[2, 50] Operation: 91-41=50
Moving to Node #0,0,0
Current State: 52:[2, 50], Operations: ['97-95=2', '91-41=50']
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
84,
23,
23,
73
] | 84 | [
"23-23=0",
"73*0=0",
"84+0=84"
] | Current State: 84:[84, 23, 23, 73], Operations: []
Exploring Operation: 23-23=0, Resulting Numbers: [84, 73, 0]
Generated Node #2: [84, 73, 0] from Operation: 23-23=0
Current State: 84:[84, 73, 0], Operations: ['23-23=0']
Exploring Operation: 73*0=0, Resulting Numbers: [84, 0]
Generated Node #3: [84, 0] from Operation: 73*0=0
Current State: 84:[84, 0], Operations: ['23-23=0', '73*0=0']
Exploring Operation: 84+0=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[84, 23, 23, 73], Operations: []
Exploring Operation: 23-23=0, Resulting Numbers: [84, 73, 0]
Generated Node #0,0: 84:[84, 73, 0] Operation: 23-23=0
Exploring Operation: 73-23=50, Resulting Numbers: [84, 23, 50]
Generated Node #0,1: 84:[84, 23, 50] Operation: 73-23=50
Exploring Operation: 73-23=50, Resulting Numbers: [84, 23, 50]
Generated Node #0,2: 84:[84, 23, 50] Operation: 73-23=50
Exploring Operation: 23/23=1, Resulting Numbers: [84, 73, 1]
Generated Node #0,3: 84:[84, 73, 1] Operation: 23/23=1
Exploring Operation: 84-73=11, Resulting Numbers: [23, 23, 11]
Generated Node #0,4: 84:[23, 23, 11] Operation: 84-73=11
Start Sub Search at level 1: Moving to Node #0,4
Current State: 84:[23, 23, 11], Operations: ['84-73=11']
Exploring Operation: 23+23=46, Resulting Numbers: [11, 46]
Generated Node #0,4,0: 84:[11, 46] Operation: 23+23=46
Exploring Operation: 23-11=12, Resulting Numbers: [23, 12]
Generated Node #0,4,1: 84:[23, 12] Operation: 23-11=12
Exploring Operation: 23-23=0, Resulting Numbers: [11, 0]
Generated Node #0,4,2: 84:[11, 0] Operation: 23-23=0
Exploring Operation: 23-11=12, Resulting Numbers: [23, 12]
Generated Node #0,4,3: 84:[23, 12] Operation: 23-11=12
Exploring Operation: 23/23=1, Resulting Numbers: [11, 1]
Generated Node #0,4,4: 84:[11, 1] Operation: 23/23=1
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 84:[23, 12], Operations: ['84-73=11', '23-11=12']
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 23*12=276, Resulting Numbers: [276]
276,84 unequal: No Solution
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 84:[23, 12], Operations: ['84-73=11', '23-11=12']
Exploring Operation: 23*12=276, Resulting Numbers: [276]
276,84 unequal: No Solution
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,84 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 84:[11, 1], Operations: ['84-73=11', '23/23=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,84 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 84:[11, 0], Operations: ['84-73=11', '23-23=0']
Exploring Operation: 11+0=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 11-0=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 11*0=0, Resulting Numbers: [0]
0,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 84:[11, 46], Operations: ['84-73=11', '23+23=46']
Exploring Operation: 11+46=57, Resulting Numbers: [57]
57,84 unequal: No Solution
Exploring Operation: 11*46=506, Resulting Numbers: [506]
506,84 unequal: No Solution
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[84, 23, 50], Operations: ['73-23=50']
Exploring Operation: 84-23=61, Resulting Numbers: [50, 61]
Generated Node #0,1,0: 84:[50, 61] Operation: 84-23=61
Exploring Operation: 50-23=27, Resulting Numbers: [84, 27]
Generated Node #0,1,1: 84:[84, 27] Operation: 50-23=27
Exploring Operation: 23+50=73, Resulting Numbers: [84, 73]
Generated Node #0,1,2: 84:[84, 73] Operation: 23+50=73
Exploring Operation: 84+23=107, Resulting Numbers: [50, 107]
Generated Node #0,1,3: 84:[50, 107] Operation: 84+23=107
Exploring Operation: 84-50=34, Resulting Numbers: [23, 34]
Generated Node #0,1,4: 84:[23, 34] Operation: 84-50=34
Moving to Node #0,1,1
Current State: 84:[84, 27], Operations: ['73-23=50', '50-23=27']
Exploring Operation: 84*27=2268, Resulting Numbers: [2268]
2268,84 unequal: No Solution
Exploring Operation: 84-27=57, Resulting Numbers: [57]
57,84 unequal: No Solution
Exploring Operation: 84+27=111, Resulting Numbers: [111]
111,84 unequal: No Solution
Moving to Node #0,1,4
Current State: 84:[23, 34], Operations: ['73-23=50', '84-50=34']
Exploring Operation: 23+34=57, Resulting Numbers: [57]
57,84 unequal: No Solution
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 23*34=782, Resulting Numbers: [782]
782,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[84, 73], Operations: ['73-23=50', '23+50=73']
Exploring Operation: 84+73=157, Resulting Numbers: [157]
157,84 unequal: No Solution
Exploring Operation: 84*73=6132, Resulting Numbers: [6132]
6132,84 unequal: No Solution
Exploring Operation: 84-73=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[50, 61], Operations: ['73-23=50', '84-23=61']
Exploring Operation: 50*61=3050, Resulting Numbers: [3050]
3050,84 unequal: No Solution
Exploring Operation: 50+61=111, Resulting Numbers: [111]
111,84 unequal: No Solution
Exploring Operation: 61-50=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Moving to Node #0,1,3
Current State: 84:[50, 107], Operations: ['73-23=50', '84+23=107']
Exploring Operation: 50+107=157, Resulting Numbers: [157]
157,84 unequal: No Solution
Exploring Operation: 50*107=5350, Resulting Numbers: [5350]
5350,84 unequal: No Solution
Exploring Operation: 107-50=57, Resulting Numbers: [57]
57,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[84, 23, 50], Operations: ['73-23=50']
Exploring Operation: 50-23=27, Resulting Numbers: [84, 27]
Generated Node #0,2,0: 84:[84, 27] Operation: 50-23=27
Exploring Operation: 84-23=61, Resulting Numbers: [50, 61]
Generated Node #0,2,1: 84:[50, 61] Operation: 84-23=61
Exploring Operation: 84-50=34, Resulting Numbers: [23, 34]
Generated Node #0,2,2: 84:[23, 34] Operation: 84-50=34
Exploring Operation: 23+50=73, Resulting Numbers: [84, 73]
Generated Node #0,2,3: 84:[84, 73] Operation: 23+50=73
Exploring Operation: 84+23=107, Resulting Numbers: [50, 107]
Generated Node #0,2,4: 84:[50, 107] Operation: 84+23=107
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 84:[84, 27], Operations: ['73-23=50', '50-23=27']
Exploring Operation: 84+27=111, Resulting Numbers: [111]
111,84 unequal: No Solution
Exploring Operation: 84*27=2268, Resulting Numbers: [2268]
2268,84 unequal: No Solution
Exploring Operation: 84-27=57, Resulting Numbers: [57]
57,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 84:[23, 34], Operations: ['73-23=50', '84-50=34']
Exploring Operation: 23*34=782, Resulting Numbers: [782]
782,84 unequal: No Solution
Exploring Operation: 23+34=57, Resulting Numbers: [57]
57,84 unequal: No Solution
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 84:[84, 73], Operations: ['73-23=50', '23+50=73']
Exploring Operation: 84*73=6132, Resulting Numbers: [6132]
6132,84 unequal: No Solution
Exploring Operation: 84+73=157, Resulting Numbers: [157]
157,84 unequal: No Solution
Exploring Operation: 84-73=11, Resulting Numbers: [11]
11,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 84:[50, 61], Operations: ['73-23=50', '84-23=61']
Exploring Operation: 61-50=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 50+61=111, Resulting Numbers: [111]
111,84 unequal: No Solution
Exploring Operation: 50*61=3050, Resulting Numbers: [3050]
3050,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 84:[50, 107], Operations: ['73-23=50', '84+23=107']
Exploring Operation: 50+107=157, Resulting Numbers: [157]
157,84 unequal: No Solution
Exploring Operation: 107-50=57, Resulting Numbers: [57]
57,84 unequal: No Solution
Exploring Operation: 50*107=5350, Resulting Numbers: [5350]
5350,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 84:[84, 73, 1], Operations: ['23/23=1']
Exploring Operation: 73*1=73, Resulting Numbers: [84, 73]
Generated Node #0,3,0: 84:[84, 73] Operation: 73*1=73
Exploring Operation: 73+1=74, Resulting Numbers: [84, 74]
Generated Node #0,3,1: 84:[84, 74] Operation: 73+1=74
Exploring Operation: 84/1=84, Resulting Numbers: [73, 84]
Generated Node #0,3,2: 84:[73, 84] Operation: 84/1=84
Exploring Operation: 84-73=11, Resulting Numbers: [1, 11]
Generated Node #0,3,3: 84:[1, 11] Operation: 84-73=11
Exploring Operation: 84*1=84, Resulting Numbers: [73, 84]
Generated Node #0,3,4: 84:[73, 84] Operation: 84*1=84
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 84:[1, 11], Operations: ['23/23=1', '84-73=11']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 1+11=12, Resulting Numbers: [12]
12,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 84:[84, 74], Operations: ['23/23=1', '73+1=74']
Exploring Operation: 84+74=158, Resulting Numbers: [158]
158,84 unequal: No Solution
Exploring Operation: 84*74=6216, Resulting Numbers: [6216]
6216,84 unequal: No Solution
Exploring Operation: 84-74=10, Resulting Numbers: [10]
10,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 84:[84, 73], Operations: ['23/23=1', '73*1=73']
Exploring Operation: 84*73=6132, Resulting Numbers: [6132]
6132,84 unequal: No Solution
Exploring Operation: 84+73=157, Resulting Numbers: [157]
157,84 unequal: No Solution
Exploring Operation: 84-73=11, Resulting Numbers: [11]
11,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 84:[73, 84], Operations: ['23/23=1', '84/1=84']
Exploring Operation: 84-73=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 73+84=157, Resulting Numbers: [157]
157,84 unequal: No Solution
Exploring Operation: 73*84=6132, Resulting Numbers: [6132]
6132,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 84:[73, 84], Operations: ['23/23=1', '84*1=84']
Exploring Operation: 73+84=157, Resulting Numbers: [157]
157,84 unequal: No Solution
Exploring Operation: 73*84=6132, Resulting Numbers: [6132]
6132,84 unequal: No Solution
Exploring Operation: 84-73=11, Resulting Numbers: [11]
11,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[84, 73, 0], Operations: ['23-23=0']
Exploring Operation: 84+0=84, Resulting Numbers: [73, 84]
Generated Node #0,0,0: 84:[73, 84] Operation: 84+0=84
Exploring Operation: 84-0=84, Resulting Numbers: [73, 84]
Generated Node #0,0,1: 84:[73, 84] Operation: 84-0=84
Exploring Operation: 73+0=73, Resulting Numbers: [84, 73]
Generated Node #0,0,2: 84:[84, 73] Operation: 73+0=73
Exploring Operation: 73*0=0, Resulting Numbers: [84, 0]
Generated Node #0,0,3: 84:[84, 0] Operation: 73*0=0
Exploring Operation: 84-73=11, Resulting Numbers: [0, 11]
Generated Node #0,0,4: 84:[0, 11] Operation: 84-73=11
Moving to Node #0,0,3
Current State: 84:[84, 0], Operations: ['23-23=0', '73*0=0']
Exploring Operation: 84-0=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[84, 23, 23, 73], Operations: []
Exploring Operation: 23-23=0, Resulting Numbers: [84, 73, 0]
Generated Node #0,0: 84:[84, 73, 0] Operation: 23-23=0
Moving to Node #0,0
Current State: 84:[84, 73, 0], Operations: ['23-23=0']
Exploring Operation: 73*0=0, Resulting Numbers: [84, 0]
Generated Node #0,0,3: 84:[84, 0] Operation: 73*0=0
Moving to Node #0,0,3
Current State: 84:[84, 0], Operations: ['23-23=0', '73*0=0']
Exploring Operation: 84-0=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.915799 | hs_5 | sum_heuristic |
[
26,
20,
9,
86
] | 16 | [
"26*9=234",
"86+234=320",
"320/20=16"
] | Current State: 16:[26, 20, 9, 86], Operations: []
Exploring Operation: 26*9=234, Resulting Numbers: [20, 86, 234]
Generated Node #2: [20, 86, 234] from Operation: 26*9=234
Current State: 16:[20, 86, 234], Operations: ['26*9=234']
Exploring Operation: 86+234=320, Resulting Numbers: [20, 320]
Generated Node #3: [20, 320] from Operation: 86+234=320
Current State: 16:[20, 320], Operations: ['26*9=234', '86+234=320']
Exploring Operation: 320/20=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[26, 20, 9, 86], Operations: []
Exploring Operation: 86-20=66, Resulting Numbers: [26, 9, 66]
Generated Node #0,0: 16:[26, 9, 66] Operation: 86-20=66
Exploring Operation: 26-20=6, Resulting Numbers: [9, 86, 6]
Generated Node #0,1: 16:[9, 86, 6] Operation: 26-20=6
Exploring Operation: 86-26=60, Resulting Numbers: [20, 9, 60]
Generated Node #0,2: 16:[20, 9, 60] Operation: 86-26=60
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[20, 9, 60], Operations: ['86-26=60']
Exploring Operation: 60-9=51, Resulting Numbers: [20, 51]
Generated Node #0,2,0: 16:[20, 51] Operation: 60-9=51
Exploring Operation: 60-20=40, Resulting Numbers: [9, 40]
Generated Node #0,2,1: 16:[9, 40] Operation: 60-20=40
Exploring Operation: 60/20=3, Resulting Numbers: [9, 3]
Generated Node #0,2,2: 16:[9, 3] Operation: 60/20=3
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 16:[9, 3], Operations: ['86-26=60', '60/20=3']
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,16 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 #0,2,1
Current State: 16:[9, 40], Operations: ['86-26=60', '60-20=40']
Exploring Operation: 9*40=360, Resulting Numbers: [360]
360,16 unequal: No Solution
Exploring Operation: 9+40=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,16 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 #0,2,0
Current State: 16:[20, 51], Operations: ['86-26=60', '60-9=51']
Exploring Operation: 20+51=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Exploring Operation: 20*51=1020, Resulting Numbers: [1020]
1020,16 unequal: No Solution
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,16 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
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[26, 9, 66], Operations: ['86-20=66']
Exploring Operation: 66-26=40, Resulting Numbers: [9, 40]
Generated Node #0,0,0: 16:[9, 40] Operation: 66-26=40
Exploring Operation: 66-9=57, Resulting Numbers: [26, 57]
Generated Node #0,0,1: 16:[26, 57] Operation: 66-9=57
Exploring Operation: 26-9=17, Resulting Numbers: [66, 17]
Generated Node #0,0,2: 16:[66, 17] Operation: 26-9=17
Moving to Node #0,0,0
Current State: 16:[9, 40], Operations: ['86-20=66', '66-26=40']
Exploring Operation: 9+40=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 9*40=360, Resulting Numbers: [360]
360,16 unequal: No Solution
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,16 unequal: No Solution
Moving to Node #0,0,1
Current State: 16:[26, 57], Operations: ['86-20=66', '66-9=57']
Exploring Operation: 26*57=1482, Resulting Numbers: [1482]
1482,16 unequal: No Solution
Exploring Operation: 26+57=83, Resulting Numbers: [83]
83,16 unequal: No Solution
Exploring Operation: 57-26=31, Resulting Numbers: [31]
31,16 unequal: No Solution
Moving to Node #0,0,2
Current State: 16:[66, 17], Operations: ['86-20=66', '26-9=17']
Exploring Operation: 66+17=83, Resulting Numbers: [83]
83,16 unequal: No Solution
Exploring Operation: 66-17=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Exploring Operation: 66*17=1122, Resulting Numbers: [1122]
1122,16 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:[9, 86, 6], Operations: ['26-20=6']
Exploring Operation: 9+6=15, Resulting Numbers: [86, 15]
Generated Node #0,1,0: 16:[86, 15] Operation: 9+6=15
Exploring Operation: 86-6=80, Resulting Numbers: [9, 80]
Generated Node #0,1,1: 16:[9, 80] Operation: 86-6=80
Exploring Operation: 86-9=77, Resulting Numbers: [6, 77]
Generated Node #0,1,2: 16:[6, 77] Operation: 86-9=77
Moving to Node #0,1,2
Current State: 16:[6, 77], Operations: ['26-20=6', '86-9=77']
Exploring Operation: 6*77=462, Resulting Numbers: [462]
462,16 unequal: No Solution
Exploring Operation: 77-6=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Exploring Operation: 6+77=83, Resulting Numbers: [83]
83,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[9, 80], Operations: ['26-20=6', '86-6=80']
Exploring Operation: 9*80=720, Resulting Numbers: [720]
720,16 unequal: No Solution
Exploring Operation: 80-9=71, Resulting Numbers: [71]
71,16 unequal: No Solution
Exploring Operation: 9+80=89, Resulting Numbers: [89]
89,16 unequal: No Solution
Moving to Node #0,1,0
Current State: 16:[86, 15], Operations: ['26-20=6', '9+6=15']
Exploring Operation: 86*15=1290, Resulting Numbers: [1290]
1290,16 unequal: No Solution
Exploring Operation: 86+15=101, Resulting Numbers: [101]
101,16 unequal: No Solution
Exploring Operation: 86-15=71, Resulting Numbers: [71]
71,16 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 |
[
66,
16,
45,
33
] | 37 | [
"66/33=2",
"16/2=8",
"45-8=37"
] | Current State: 37:[66, 16, 45, 33], Operations: []
Exploring Operation: 66/33=2, Resulting Numbers: [16, 45, 2]
Generated Node #2: [16, 45, 2] from Operation: 66/33=2
Current State: 37:[16, 45, 2], Operations: ['66/33=2']
Exploring Operation: 16/2=8, Resulting Numbers: [45, 8]
Generated Node #3: [45, 8] from Operation: 16/2=8
Current State: 37:[45, 8], Operations: ['66/33=2', '16/2=8']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[66, 16, 45, 33], Operations: []
Exploring Operation: 66-45=21, Resulting Numbers: [16, 33, 21]
Generated Node #0,0: 37:[16, 33, 21] Operation: 66-45=21
Exploring Operation: 45-16=29, Resulting Numbers: [66, 33, 29]
Generated Node #0,1: 37:[66, 33, 29] Operation: 45-16=29
Exploring Operation: 66-16=50, Resulting Numbers: [45, 33, 50]
Generated Node #0,2: 37:[45, 33, 50] Operation: 66-16=50
Exploring Operation: 66-33=33, Resulting Numbers: [16, 45, 33]
Generated Node #0,3: 37:[16, 45, 33] Operation: 66-33=33
Exploring Operation: 16+33=49, Resulting Numbers: [66, 45, 49]
Generated Node #0,4: 37:[66, 45, 49] Operation: 16+33=49
Moving to Node #0,2
Current State: 37:[45, 33, 50], Operations: ['66-16=50']
Exploring Operation: 50-45=5, Resulting Numbers: [33, 5]
Generated Node #0,2,0: 37:[33, 5] Operation: 50-45=5
Exploring Operation: 33+50=83, Resulting Numbers: [45, 83]
Generated Node #0,2,1: 37:[45, 83] Operation: 33+50=83
Exploring Operation: 50-33=17, Resulting Numbers: [45, 17]
Generated Node #0,2,2: 37:[45, 17] Operation: 50-33=17
Exploring Operation: 45-33=12, Resulting Numbers: [50, 12]
Generated Node #0,2,3: 37:[50, 12] Operation: 45-33=12
Exploring Operation: 45+33=78, Resulting Numbers: [50, 78]
Generated Node #0,2,4: 37:[50, 78] Operation: 45+33=78
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 37:[45, 17], Operations: ['66-16=50', '50-33=17']
Exploring Operation: 45*17=765, Resulting Numbers: [765]
765,37 unequal: No Solution
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,37 unequal: No Solution
Exploring Operation: 45+17=62, Resulting Numbers: [62]
62,37 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 #0,2,0
Current State: 37:[33, 5], Operations: ['66-16=50', '50-45=5']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,37 unequal: No Solution
Exploring Operation: 33*5=165, Resulting Numbers: [165]
165,37 unequal: No Solution
Exploring Operation: 33+5=38, Resulting Numbers: [38]
38,37 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 #0,2,3
Current State: 37:[50, 12], Operations: ['66-16=50', '45-33=12']
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,37 unequal: No Solution
Exploring Operation: 50*12=600, Resulting Numbers: [600]
600,37 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 #0,2,1
Current State: 37:[45, 83], Operations: ['66-16=50', '33+50=83']
Exploring Operation: 45+83=128, Resulting Numbers: [128]
128,37 unequal: No Solution
Exploring Operation: 83-45=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Exploring Operation: 45*83=3735, Resulting Numbers: [3735]
3735,37 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 #0,2,4
Current State: 37:[50, 78], Operations: ['66-16=50', '45+33=78']
Exploring Operation: 50*78=3900, Resulting Numbers: [3900]
3900,37 unequal: No Solution
Exploring Operation: 50+78=128, Resulting Numbers: [128]
128,37 unequal: No Solution
Exploring Operation: 78-50=28, Resulting Numbers: [28]
28,37 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: 37:[16, 45, 33], Operations: ['66-33=33']
Exploring Operation: 16+33=49, Resulting Numbers: [45, 49]
Generated Node #0,3,0: 37:[45, 49] Operation: 16+33=49
Exploring Operation: 45-33=12, Resulting Numbers: [16, 12]
Generated Node #0,3,1: 37:[16, 12] Operation: 45-33=12
Exploring Operation: 45-16=29, Resulting Numbers: [33, 29]
Generated Node #0,3,2: 37:[33, 29] Operation: 45-16=29
Exploring Operation: 33-16=17, Resulting Numbers: [45, 17]
Generated Node #0,3,3: 37:[45, 17] Operation: 33-16=17
Exploring Operation: 16+45=61, Resulting Numbers: [33, 61]
Generated Node #0,3,4: 37:[33, 61] Operation: 16+45=61
Moving to Node #0,0
Current State: 37:[16, 33, 21], Operations: ['66-45=21']
Exploring Operation: 16+33=49, Resulting Numbers: [21, 49]
Generated Node #0,0,0: 37:[21, 49] Operation: 16+33=49
Exploring Operation: 33-16=17, Resulting Numbers: [21, 17]
Generated Node #0,0,1: 37:[21, 17] Operation: 33-16=17
Exploring Operation: 21-16=5, Resulting Numbers: [33, 5]
Generated Node #0,0,2: 37:[33, 5] Operation: 21-16=5
Exploring Operation: 33+21=54, Resulting Numbers: [16, 54]
Generated Node #0,0,3: 37:[16, 54] Operation: 33+21=54
Exploring Operation: 16+21=37, Resulting Numbers: [33, 37]
Generated Node #0,0,4: 37:[33, 37] Operation: 16+21=37
Moving to Node #0,1
Current State: 37:[66, 33, 29], Operations: ['45-16=29']
Exploring Operation: 66/33=2, Resulting Numbers: [29, 2]
Generated Node #0,1,0: 37:[29, 2] Operation: 66/33=2
Exploring Operation: 33+29=62, Resulting Numbers: [66, 62]
Generated Node #0,1,1: 37:[66, 62] Operation: 33+29=62
Exploring Operation: 66+29=95, Resulting Numbers: [33, 95]
Generated Node #0,1,2: 37:[33, 95] Operation: 66+29=95
Exploring Operation: 66-29=37, Resulting Numbers: [33, 37]
Generated Node #0,1,3: 37:[33, 37] Operation: 66-29=37
Exploring Operation: 66-33=33, Resulting Numbers: [29, 33]
Generated Node #0,1,4: 37:[29, 33] Operation: 66-33=33
Moving to Node #0,4
Current State: 37:[66, 45, 49], Operations: ['16+33=49']
Exploring Operation: 66-49=17, Resulting Numbers: [45, 17]
Generated Node #0,4,0: 37:[45, 17] Operation: 66-49=17
Exploring Operation: 66+45=111, Resulting Numbers: [49, 111]
Generated Node #0,4,1: 37:[49, 111] Operation: 66+45=111
Exploring Operation: 66-45=21, Resulting Numbers: [49, 21]
Generated Node #0,4,2: 37:[49, 21] Operation: 66-45=21
Exploring Operation: 66+49=115, Resulting Numbers: [45, 115]
Generated Node #0,4,3: 37:[45, 115] Operation: 66+49=115
Exploring Operation: 49-45=4, Resulting Numbers: [66, 4]
Generated Node #0,4,4: 37:[66, 4] Operation: 49-45=4
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 37:[45, 17], Operations: ['16+33=49', '66-49=17']
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,37 unequal: No Solution
Exploring Operation: 45*17=765, Resulting Numbers: [765]
765,37 unequal: No Solution
Exploring Operation: 45+17=62, Resulting Numbers: [62]
62,37 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 #0,4,2
Current State: 37:[49, 21], Operations: ['16+33=49', '66-45=21']
Exploring Operation: 49+21=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Exploring Operation: 49-21=28, Resulting Numbers: [28]
28,37 unequal: No Solution
Exploring Operation: 49*21=1029, Resulting Numbers: [1029]
1029,37 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 #0,4,4
Current State: 37:[66, 4], Operations: ['16+33=49', '49-45=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,37 unequal: No Solution
Exploring Operation: 66*4=264, Resulting Numbers: [264]
264,37 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 #0,4,1
Current State: 37:[49, 111], Operations: ['16+33=49', '66+45=111']
Exploring Operation: 49+111=160, Resulting Numbers: [160]
160,37 unequal: No Solution
Exploring Operation: 111-49=62, Resulting Numbers: [62]
62,37 unequal: No Solution
Exploring Operation: 49*111=5439, Resulting Numbers: [5439]
5439,37 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 #0,4,3
Current State: 37:[45, 115], Operations: ['16+33=49', '66+49=115']
Exploring Operation: 115-45=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Exploring Operation: 45*115=5175, Resulting Numbers: [5175]
5175,37 unequal: No Solution
Exploring Operation: 45+115=160, Resulting Numbers: [160]
160,37 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: 37:[33, 37], Operations: ['66-45=21', '16+21=37']
Exploring Operation: 37-33=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 33+37=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Exploring Operation: 33*37=1221, Resulting Numbers: [1221]
1221,37 unequal: No Solution
Moving to Node #0,1,3
Current State: 37:[33, 37], Operations: ['45-16=29', '66-29=37']
Exploring Operation: 33*37=1221, Resulting Numbers: [1221]
1221,37 unequal: No Solution
Exploring Operation: 37-33=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 33+37=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Moving to Node #0,3,2
Current State: 37:[33, 29], Operations: ['66-33=33', '45-16=29']
Exploring Operation: 33-29=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 33+29=62, Resulting Numbers: [62]
62,37 unequal: No Solution
Exploring Operation: 33*29=957, Resulting Numbers: [957]
957,37 unequal: No Solution
Moving to Node #0,1,4
Current State: 37:[29, 33], Operations: ['45-16=29', '66-33=33']
Exploring Operation: 29+33=62, Resulting Numbers: [62]
62,37 unequal: No Solution
Exploring Operation: 29*33=957, Resulting Numbers: [957]
957,37 unequal: No Solution
Exploring Operation: 33-29=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Moving to Node #0,3,0
Current State: 37:[45, 49], Operations: ['66-33=33', '16+33=49']
Exploring Operation: 45+49=94, Resulting Numbers: [94]
94,37 unequal: No Solution
Exploring Operation: 49-45=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 45*49=2205, Resulting Numbers: [2205]
2205,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[21, 49], Operations: ['66-45=21', '16+33=49']
Exploring Operation: 21*49=1029, Resulting Numbers: [1029]
1029,37 unequal: No Solution
Exploring Operation: 49-21=28, Resulting Numbers: [28]
28,37 unequal: No Solution
Exploring Operation: 21+49=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Moving to Node #0,3,3
Current State: 37:[45, 17], Operations: ['66-33=33', '33-16=17']
Exploring Operation: 45*17=765, Resulting Numbers: [765]
765,37 unequal: No Solution
Exploring Operation: 45+17=62, Resulting Numbers: [62]
62,37 unequal: No Solution
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,37 unequal: No Solution
Moving to Node #0,3,4
Current State: 37:[33, 61], Operations: ['66-33=33', '16+45=61']
Exploring Operation: 33+61=94, Resulting Numbers: [94]
94,37 unequal: No Solution
Exploring Operation: 33*61=2013, Resulting Numbers: [2013]
2013,37 unequal: No Solution
Exploring Operation: 61-33=28, Resulting Numbers: [28]
28,37 unequal: No Solution
Moving to Node #0,0,2
Current State: 37:[33, 5], Operations: ['66-45=21', '21-16=5']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,37 unequal: No Solution
Exploring Operation: 33*5=165, Resulting Numbers: [165]
165,37 unequal: No Solution
Exploring Operation: 33+5=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Moving to Node #0,0,1
Current State: 37:[21, 17], Operations: ['66-45=21', '33-16=17']
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 21*17=357, Resulting Numbers: [357]
357,37 unequal: No Solution
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Moving to Node #0,0,3
Current State: 37:[16, 54], Operations: ['66-45=21', '33+21=54']
Exploring Operation: 16+54=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Exploring Operation: 54-16=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Exploring Operation: 16*54=864, Resulting Numbers: [864]
864,37 unequal: No Solution
Moving to Node #0,1,0
Current State: 37:[29, 2], Operations: ['45-16=29', '66/33=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,37 unequal: No Solution
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,37 unequal: No Solution
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,37 unequal: No Solution
Moving to Node #0,3,1
Current State: 37:[16, 12], Operations: ['66-33=33', '45-33=12']
Exploring Operation: 16*12=192, Resulting Numbers: [192]
192,37 unequal: No Solution
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,37 unequal: No Solution
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[66, 62], Operations: ['45-16=29', '33+29=62']
Exploring Operation: 66*62=4092, Resulting Numbers: [4092]
4092,37 unequal: No Solution
Exploring Operation: 66-62=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 66+62=128, Resulting Numbers: [128]
128,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[33, 95], Operations: ['45-16=29', '66+29=95']
Exploring Operation: 95-33=62, Resulting Numbers: [62]
62,37 unequal: No Solution
Exploring Operation: 33+95=128, Resulting Numbers: [128]
128,37 unequal: No Solution
Exploring Operation: 33*95=3135, Resulting Numbers: [3135]
3135,37 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
2,
46,
16,
89
] | 100 | [
"89-16=73",
"2*73=146",
"146-46=100"
] | Current State: 100:[2, 46, 16, 89], Operations: []
Exploring Operation: 89-16=73, Resulting Numbers: [2, 46, 73]
Generated Node #2: [2, 46, 73] from Operation: 89-16=73
Current State: 100:[2, 46, 73], Operations: ['89-16=73']
Exploring Operation: 2*73=146, Resulting Numbers: [46, 146]
Generated Node #3: [46, 146] from Operation: 2*73=146
Current State: 100:[46, 146], Operations: ['89-16=73', '2*73=146']
Exploring Operation: 146-46=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[2, 46, 16, 89], Operations: []
Exploring Operation: 2+46=48, Resulting Numbers: [16, 89, 48]
Generated Node #0,0: 100:[16, 89, 48] Operation: 2+46=48
Exploring Operation: 16+89=105, Resulting Numbers: [2, 46, 105]
Generated Node #0,1: 100:[2, 46, 105] Operation: 16+89=105
Exploring Operation: 89-46=43, Resulting Numbers: [2, 16, 43]
Generated Node #0,2: 100:[2, 16, 43] Operation: 89-46=43
Exploring Operation: 46/2=23, Resulting Numbers: [16, 89, 23]
Generated Node #0,3: 100:[16, 89, 23] Operation: 46/2=23
Exploring Operation: 46-16=30, Resulting Numbers: [2, 89, 30]
Generated Node #0,4: 100:[2, 89, 30] Operation: 46-16=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[2, 46, 105], Operations: ['16+89=105']
Exploring Operation: 105-46=59, Resulting Numbers: [2, 59]
Generated Node #0,1,0: 100:[2, 59] Operation: 105-46=59
Exploring Operation: 46-2=44, Resulting Numbers: [105, 44]
Generated Node #0,1,1: 100:[105, 44] Operation: 46-2=44
Exploring Operation: 2+46=48, Resulting Numbers: [105, 48]
Generated Node #0,1,2: 100:[105, 48] Operation: 2+46=48
Exploring Operation: 105-2=103, Resulting Numbers: [46, 103]
Generated Node #0,1,3: 100:[46, 103] Operation: 105-2=103
Exploring Operation: 46/2=23, Resulting Numbers: [105, 23]
Generated Node #0,1,4: 100:[105, 23] Operation: 46/2=23
Moving to Node #0,1,2
Current State: 100:[105, 48], Operations: ['16+89=105', '2+46=48']
Exploring Operation: 105-48=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 105*48=5040, Resulting Numbers: [5040]
5040,100 unequal: No Solution
Exploring Operation: 105+48=153, Resulting Numbers: [153]
153,100 unequal: No Solution
Moving to Node #0,1,4
Current State: 100:[105, 23], Operations: ['16+89=105', '46/2=23']
Exploring Operation: 105+23=128, Resulting Numbers: [128]
128,100 unequal: No Solution
Exploring Operation: 105*23=2415, Resulting Numbers: [2415]
2415,100 unequal: No Solution
Exploring Operation: 105-23=82, Resulting Numbers: [82]
82,100 unequal: No Solution
Moving to Node #0,1,3
Current State: 100:[46, 103], Operations: ['16+89=105', '105-2=103']
Exploring Operation: 46+103=149, Resulting Numbers: [149]
149,100 unequal: No Solution
Exploring Operation: 46*103=4738, Resulting Numbers: [4738]
4738,100 unequal: No Solution
Exploring Operation: 103-46=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Moving to Node #0,1,0
Current State: 100:[2, 59], Operations: ['16+89=105', '105-46=59']
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 2+59=61, Resulting Numbers: [61]
61,100 unequal: No Solution
Exploring Operation: 2*59=118, Resulting Numbers: [118]
118,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[105, 44], Operations: ['16+89=105', '46-2=44']
Exploring Operation: 105-44=61, Resulting Numbers: [61]
61,100 unequal: No Solution
Exploring Operation: 105*44=4620, Resulting Numbers: [4620]
4620,100 unequal: No Solution
Exploring Operation: 105+44=149, Resulting Numbers: [149]
149,100 unequal: No Solution
No 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: 100:[2, 16, 43], Operations: ['89-46=43']
Exploring Operation: 2+16=18, Resulting Numbers: [43, 18]
Generated Node #0,2,0: 100:[43, 18] Operation: 2+16=18
Exploring Operation: 43-16=27, Resulting Numbers: [2, 27]
Generated Node #0,2,1: 100:[2, 27] Operation: 43-16=27
Exploring Operation: 16+43=59, Resulting Numbers: [2, 59]
Generated Node #0,2,2: 100:[2, 59] Operation: 16+43=59
Exploring Operation: 16/2=8, Resulting Numbers: [43, 8]
Generated Node #0,2,3: 100:[43, 8] Operation: 16/2=8
Exploring Operation: 2+43=45, Resulting Numbers: [16, 45]
Generated Node #0,2,4: 100:[16, 45] Operation: 2+43=45
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 100:[2, 27], Operations: ['89-46=43', '43-16=27']
Exploring Operation: 2*27=54, Resulting Numbers: [54]
54,100 unequal: No Solution
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,100 unequal: No Solution
Exploring Operation: 2+27=29, Resulting Numbers: [29]
29,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 100:[43, 18], Operations: ['89-46=43', '2+16=18']
Exploring Operation: 43+18=61, Resulting Numbers: [61]
61,100 unequal: No Solution
Exploring Operation: 43-18=25, Resulting Numbers: [25]
25,100 unequal: No Solution
Exploring Operation: 43*18=774, Resulting Numbers: [774]
774,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 100:[2, 59], Operations: ['89-46=43', '16+43=59']
Exploring Operation: 2+59=61, Resulting Numbers: [61]
61,100 unequal: No Solution
Exploring Operation: 2*59=118, Resulting Numbers: [118]
118,100 unequal: No Solution
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 100:[43, 8], Operations: ['89-46=43', '16/2=8']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,100 unequal: No Solution
Exploring Operation: 43*8=344, Resulting Numbers: [344]
344,100 unequal: No Solution
Exploring Operation: 43+8=51, Resulting Numbers: [51]
51,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 100:[16, 45], Operations: ['89-46=43', '2+43=45']
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,100 unequal: No Solution
Exploring Operation: 16+45=61, Resulting Numbers: [61]
61,100 unequal: No Solution
Exploring Operation: 16*45=720, Resulting Numbers: [720]
720,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 100:[2, 89, 30], Operations: ['46-16=30']
Exploring Operation: 89-30=59, Resulting Numbers: [2, 59]
Generated Node #0,4,0: 100:[2, 59] Operation: 89-30=59
Exploring Operation: 2+89=91, Resulting Numbers: [30, 91]
Generated Node #0,4,1: 100:[30, 91] Operation: 2+89=91
Exploring Operation: 30-2=28, Resulting Numbers: [89, 28]
Generated Node #0,4,2: 100:[89, 28] Operation: 30-2=28
Exploring Operation: 30/2=15, Resulting Numbers: [89, 15]
Generated Node #0,4,3: 100:[89, 15] Operation: 30/2=15
Exploring Operation: 89-2=87, Resulting Numbers: [30, 87]
Generated Node #0,4,4: 100:[30, 87] Operation: 89-2=87
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 100:[2, 59], Operations: ['46-16=30', '89-30=59']
Exploring Operation: 2*59=118, Resulting Numbers: [118]
118,100 unequal: No Solution
Exploring Operation: 2+59=61, Resulting Numbers: [61]
61,100 unequal: No Solution
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 100:[30, 91], Operations: ['46-16=30', '2+89=91']
Exploring Operation: 30*91=2730, Resulting Numbers: [2730]
2730,100 unequal: No Solution
Exploring Operation: 91-30=61, Resulting Numbers: [61]
61,100 unequal: No Solution
Exploring Operation: 30+91=121, Resulting Numbers: [121]
121,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 100:[89, 28], Operations: ['46-16=30', '30-2=28']
Exploring Operation: 89-28=61, Resulting Numbers: [61]
61,100 unequal: No Solution
Exploring Operation: 89+28=117, Resulting Numbers: [117]
117,100 unequal: No Solution
Exploring Operation: 89*28=2492, Resulting Numbers: [2492]
2492,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 100:[89, 15], Operations: ['46-16=30', '30/2=15']
Exploring Operation: 89*15=1335, Resulting Numbers: [1335]
1335,100 unequal: No Solution
Exploring Operation: 89+15=104, Resulting Numbers: [104]
104,100 unequal: No Solution
Exploring Operation: 89-15=74, Resulting Numbers: [74]
74,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 100:[30, 87], Operations: ['46-16=30', '89-2=87']
Exploring Operation: 87-30=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 30*87=2610, Resulting Numbers: [2610]
2610,100 unequal: No Solution
Exploring Operation: 30+87=117, Resulting Numbers: [117]
117,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[16, 89, 48], Operations: ['2+46=48']
Exploring Operation: 89-16=73, Resulting Numbers: [48, 73]
Generated Node #0,0,0: 100:[48, 73] Operation: 89-16=73
Exploring Operation: 89-48=41, Resulting Numbers: [16, 41]
Generated Node #0,0,1: 100:[16, 41] Operation: 89-48=41
Exploring Operation: 48/16=3, Resulting Numbers: [89, 3]
Generated Node #0,0,2: 100:[89, 3] Operation: 48/16=3
Exploring Operation: 16+89=105, Resulting Numbers: [48, 105]
Generated Node #0,0,3: 100:[48, 105] Operation: 16+89=105
Exploring Operation: 48-16=32, Resulting Numbers: [89, 32]
Generated Node #0,0,4: 100:[89, 32] Operation: 48-16=32
Moving to Node #0,0,3
Current State: 100:[48, 105], Operations: ['2+46=48', '16+89=105']
Exploring Operation: 48+105=153, Resulting Numbers: [153]
153,100 unequal: No Solution
Exploring Operation: 48*105=5040, Resulting Numbers: [5040]
5040,100 unequal: No Solution
Exploring Operation: 105-48=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Moving to Node #0,0,2
Current State: 100:[89, 3], Operations: ['2+46=48', '48/16=3']
Exploring Operation: 89+3=92, Resulting Numbers: [92]
92,100 unequal: No Solution
Exploring Operation: 89-3=86, Resulting Numbers: [86]
86,100 unequal: No Solution
Exploring Operation: 89*3=267, Resulting Numbers: [267]
267,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[16, 41], Operations: ['2+46=48', '89-48=41']
Exploring Operation: 16*41=656, Resulting Numbers: [656]
656,100 unequal: No Solution
Exploring Operation: 41-16=25, Resulting Numbers: [25]
25,100 unequal: No Solution
Exploring Operation: 16+41=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Moving to Node #0,0,4
Current State: 100:[89, 32], Operations: ['2+46=48', '48-16=32']
Exploring Operation: 89-32=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 89*32=2848, Resulting Numbers: [2848]
2848,100 unequal: No Solution
Exploring Operation: 89+32=121, Resulting Numbers: [121]
121,100 unequal: No Solution
Moving to Node #0,0,0
Current State: 100:[48, 73], Operations: ['2+46=48', '89-16=73']
Exploring Operation: 48*73=3504, Resulting Numbers: [3504]
3504,100 unequal: No Solution
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,100 unequal: No Solution
Exploring Operation: 48+73=121, Resulting Numbers: [121]
121,100 unequal: No Solution
No 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: 100:[16, 89, 23], Operations: ['46/2=23']
Exploring Operation: 16+89=105, Resulting Numbers: [23, 105]
Generated Node #0,3,0: 100:[23, 105] Operation: 16+89=105
Exploring Operation: 23-16=7, Resulting Numbers: [89, 7]
Generated Node #0,3,1: 100:[89, 7] Operation: 23-16=7
Exploring Operation: 89+23=112, Resulting Numbers: [16, 112]
Generated Node #0,3,2: 100:[16, 112] Operation: 89+23=112
Exploring Operation: 89-23=66, Resulting Numbers: [16, 66]
Generated Node #0,3,3: 100:[16, 66] Operation: 89-23=66
Exploring Operation: 16+23=39, Resulting Numbers: [89, 39]
Generated Node #0,3,4: 100:[89, 39] Operation: 16+23=39
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 100:[23, 105], Operations: ['46/2=23', '16+89=105']
Exploring Operation: 23+105=128, Resulting Numbers: [128]
128,100 unequal: No Solution
Exploring Operation: 23*105=2415, Resulting Numbers: [2415]
2415,100 unequal: No Solution
Exploring Operation: 105-23=82, Resulting Numbers: [82]
82,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 100:[89, 7], Operations: ['46/2=23', '23-16=7']
Exploring Operation: 89*7=623, Resulting Numbers: [623]
623,100 unequal: No Solution
Exploring Operation: 89+7=96, Resulting Numbers: [96]
96,100 unequal: No Solution
Exploring Operation: 89-7=82, Resulting Numbers: [82]
82,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 100:[16, 112], Operations: ['46/2=23', '89+23=112']
Exploring Operation: 112/16=7, Resulting Numbers: [7]
7,100 unequal: No Solution
Exploring Operation: 16*112=1792, Resulting Numbers: [1792]
1792,100 unequal: No Solution
Exploring Operation: 16+112=128, Resulting Numbers: [128]
128,100 unequal: No Solution
Exploring Operation: 112-16=96, Resulting Numbers: [96]
96,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 100:[16, 66], Operations: ['46/2=23', '89-23=66']
Exploring Operation: 66-16=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Exploring Operation: 16+66=82, Resulting Numbers: [82]
82,100 unequal: No Solution
Exploring Operation: 16*66=1056, Resulting Numbers: [1056]
1056,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 100:[89, 39], Operations: ['46/2=23', '16+23=39']
Exploring Operation: 89-39=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Exploring Operation: 89+39=128, Resulting Numbers: [128]
128,100 unequal: No Solution
Exploring Operation: 89*39=3471, Resulting Numbers: [3471]
3471,100 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
96,
63,
11,
40
] | 37 | [
"96-63=33",
"33/11=3",
"40-3=37"
] | Current State: 37:[96, 63, 11, 40], Operations: []
Exploring Operation: 96-63=33, Resulting Numbers: [11, 40, 33]
Generated Node #2: [11, 40, 33] from Operation: 96-63=33
Current State: 37:[11, 40, 33], Operations: ['96-63=33']
Exploring Operation: 33/11=3, Resulting Numbers: [40, 3]
Generated Node #3: [40, 3] from Operation: 33/11=3
Current State: 37:[40, 3], Operations: ['96-63=33', '33/11=3']
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[96, 63, 11, 40], Operations: []
Exploring Operation: 96-63=33, Resulting Numbers: [11, 40, 33]
Generated Node #0,0: 37:[11, 40, 33] Operation: 96-63=33
Exploring Operation: 63-11=52, Resulting Numbers: [96, 40, 52]
Generated Node #0,1: 37:[96, 40, 52] Operation: 63-11=52
Exploring Operation: 96-11=85, Resulting Numbers: [63, 40, 85]
Generated Node #0,2: 37:[63, 40, 85] Operation: 96-11=85
Exploring Operation: 96-40=56, Resulting Numbers: [63, 11, 56]
Generated Node #0,3: 37:[63, 11, 56] Operation: 96-40=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[11, 40, 33], Operations: ['96-63=33']
Exploring Operation: 40-11=29, Resulting Numbers: [33, 29]
Generated Node #0,0,0: 37:[33, 29] Operation: 40-11=29
Exploring Operation: 11+33=44, Resulting Numbers: [40, 44]
Generated Node #0,0,1: 37:[40, 44] Operation: 11+33=44
Exploring Operation: 33-11=22, Resulting Numbers: [40, 22]
Generated Node #0,0,2: 37:[40, 22] Operation: 33-11=22
Exploring Operation: 11+40=51, Resulting Numbers: [33, 51]
Generated Node #0,0,3: 37:[33, 51] Operation: 11+40=51
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 37:[40, 44], Operations: ['96-63=33', '11+33=44']
Exploring Operation: 40*44=1760, Resulting Numbers: [1760]
1760,37 unequal: No Solution
Exploring Operation: 40+44=84, Resulting Numbers: [84]
84,37 unequal: No Solution
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,37 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 #0,0,0
Current State: 37:[33, 29], Operations: ['96-63=33', '40-11=29']
Exploring Operation: 33+29=62, Resulting Numbers: [62]
62,37 unequal: No Solution
Exploring Operation: 33*29=957, Resulting Numbers: [957]
957,37 unequal: No Solution
Exploring Operation: 33-29=4, Resulting Numbers: [4]
4,37 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 #0,0,2
Current State: 37:[40, 22], Operations: ['96-63=33', '33-11=22']
Exploring Operation: 40*22=880, Resulting Numbers: [880]
880,37 unequal: No Solution
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,37 unequal: No Solution
Exploring Operation: 40+22=62, Resulting Numbers: [62]
62,37 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 #0,0,3
Current State: 37:[33, 51], Operations: ['96-63=33', '11+40=51']
Exploring Operation: 33*51=1683, Resulting Numbers: [1683]
1683,37 unequal: No Solution
Exploring Operation: 51-33=18, Resulting Numbers: [18]
18,37 unequal: No Solution
Exploring Operation: 33+51=84, Resulting Numbers: [84]
84,37 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
Start Sub Search at level 1: Moving to Node #0,3
Current State: 37:[63, 11, 56], Operations: ['96-40=56']
Exploring Operation: 63-56=7, Resulting Numbers: [11, 7]
Generated Node #0,3,0: 37:[11, 7] Operation: 63-56=7
Exploring Operation: 63+11=74, Resulting Numbers: [56, 74]
Generated Node #0,3,1: 37:[56, 74] Operation: 63+11=74
Exploring Operation: 63-11=52, Resulting Numbers: [56, 52]
Generated Node #0,3,2: 37:[56, 52] Operation: 63-11=52
Exploring Operation: 56-11=45, Resulting Numbers: [63, 45]
Generated Node #0,3,3: 37:[63, 45] Operation: 56-11=45
Moving to Node #0,3,2
Current State: 37:[56, 52], Operations: ['96-40=56', '63-11=52']
Exploring Operation: 56+52=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 56-52=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 56*52=2912, Resulting Numbers: [2912]
2912,37 unequal: No Solution
Moving to Node #0,3,3
Current State: 37:[63, 45], Operations: ['96-40=56', '56-11=45']
Exploring Operation: 63+45=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 63-45=18, Resulting Numbers: [18]
18,37 unequal: No Solution
Exploring Operation: 63*45=2835, Resulting Numbers: [2835]
2835,37 unequal: No Solution
Moving to Node #0,3,1
Current State: 37:[56, 74], Operations: ['96-40=56', '63+11=74']
Exploring Operation: 56*74=4144, Resulting Numbers: [4144]
4144,37 unequal: No Solution
Exploring Operation: 74-56=18, Resulting Numbers: [18]
18,37 unequal: No Solution
Exploring Operation: 56+74=130, Resulting Numbers: [130]
130,37 unequal: No Solution
Moving to Node #0,3,0
Current State: 37:[11, 7], Operations: ['96-40=56', '63-56=7']
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,37 unequal: No Solution
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,37 unequal: No Solution
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,37 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:[96, 40, 52], Operations: ['63-11=52']
Exploring Operation: 96-52=44, Resulting Numbers: [40, 44]
Generated Node #0,1,0: 37:[40, 44] Operation: 96-52=44
Exploring Operation: 52-40=12, Resulting Numbers: [96, 12]
Generated Node #0,1,1: 37:[96, 12] Operation: 52-40=12
Exploring Operation: 96+40=136, Resulting Numbers: [52, 136]
Generated Node #0,1,2: 37:[52, 136] Operation: 96+40=136
Exploring Operation: 96-40=56, Resulting Numbers: [52, 56]
Generated Node #0,1,3: 37:[52, 56] Operation: 96-40=56
Moving to Node #0,1,0
Current State: 37:[40, 44], Operations: ['63-11=52', '96-52=44']
Exploring Operation: 40+44=84, Resulting Numbers: [84]
84,37 unequal: No Solution
Exploring Operation: 44-40=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 40*44=1760, Resulting Numbers: [1760]
1760,37 unequal: No Solution
Moving to Node #0,1,3
Current State: 37:[52, 56], Operations: ['63-11=52', '96-40=56']
Exploring Operation: 52*56=2912, Resulting Numbers: [2912]
2912,37 unequal: No Solution
Exploring Operation: 56-52=4, Resulting Numbers: [4]
4,37 unequal: No Solution
Exploring Operation: 52+56=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[96, 12], Operations: ['63-11=52', '52-40=12']
Exploring Operation: 96*12=1152, Resulting Numbers: [1152]
1152,37 unequal: No Solution
Exploring Operation: 96+12=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 96-12=84, Resulting Numbers: [84]
84,37 unequal: No Solution
Exploring Operation: 96/12=8, Resulting Numbers: [8]
8,37 unequal: No Solution
Moving to Node #0,1,2
Current State: 37:[52, 136], Operations: ['63-11=52', '96+40=136']
Exploring Operation: 136-52=84, Resulting Numbers: [84]
84,37 unequal: No Solution
Exploring Operation: 52+136=188, Resulting Numbers: [188]
188,37 unequal: No Solution
Exploring Operation: 52*136=7072, Resulting Numbers: [7072]
7072,37 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:[63, 40, 85], Operations: ['96-11=85']
Exploring Operation: 63-40=23, Resulting Numbers: [85, 23]
Generated Node #0,2,0: 37:[85, 23] Operation: 63-40=23
Exploring Operation: 85-63=22, Resulting Numbers: [40, 22]
Generated Node #0,2,1: 37:[40, 22] Operation: 85-63=22
Exploring Operation: 63+40=103, Resulting Numbers: [85, 103]
Generated Node #0,2,2: 37:[85, 103] Operation: 63+40=103
Exploring Operation: 85-40=45, Resulting Numbers: [63, 45]
Generated Node #0,2,3: 37:[63, 45] Operation: 85-40=45
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 37:[40, 22], Operations: ['96-11=85', '85-63=22']
Exploring Operation: 40*22=880, Resulting Numbers: [880]
880,37 unequal: No Solution
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,37 unequal: No Solution
Exploring Operation: 40+22=62, Resulting Numbers: [62]
62,37 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 #0,2,3
Current State: 37:[63, 45], Operations: ['96-11=85', '85-40=45']
Exploring Operation: 63*45=2835, Resulting Numbers: [2835]
2835,37 unequal: No Solution
Exploring Operation: 63+45=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 63-45=18, Resulting Numbers: [18]
18,37 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:[85, 23], Operations: ['96-11=85', '63-40=23']
Exploring Operation: 85-23=62, Resulting Numbers: [62]
62,37 unequal: No Solution
Exploring Operation: 85+23=108, Resulting Numbers: [108]
108,37 unequal: No Solution
Exploring Operation: 85*23=1955, Resulting Numbers: [1955]
1955,37 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 #0,2,2
Current State: 37:[85, 103], Operations: ['96-11=85', '63+40=103']
Exploring Operation: 85+103=188, Resulting Numbers: [188]
188,37 unequal: No Solution
Exploring Operation: 85*103=8755, Resulting Numbers: [8755]
8755,37 unequal: No Solution
Exploring Operation: 103-85=18, Resulting Numbers: [18]
18,37 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_4 | mult_heuristic |
[
83,
16,
78,
64
] | 16 | [
"83-78=5",
"16+64=80",
"80/5=16"
] | Current State: 16:[83, 16, 78, 64], Operations: []
Exploring Operation: 83-78=5, Resulting Numbers: [16, 64, 5]
Generated Node #2: [16, 64, 5] from Operation: 83-78=5
Current State: 16:[16, 64, 5], Operations: ['83-78=5']
Exploring Operation: 16+64=80, Resulting Numbers: [5, 80]
Generated Node #3: [5, 80] from Operation: 16+64=80
Current State: 16:[5, 80], Operations: ['83-78=5', '16+64=80']
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[83, 16, 78, 64], Operations: []
Exploring Operation: 78-64=14, Resulting Numbers: [83, 16, 14]
Generated Node #0,0: 16:[83, 16, 14] Operation: 78-64=14
Exploring Operation: 83-64=19, Resulting Numbers: [16, 78, 19]
Generated Node #0,1: 16:[16, 78, 19] Operation: 83-64=19
Exploring Operation: 83-78=5, Resulting Numbers: [16, 64, 5]
Generated Node #0,2: 16:[16, 64, 5] Operation: 83-78=5
Moving to Node #0,2
Current State: 16:[16, 64, 5], Operations: ['83-78=5']
Exploring Operation: 64/16=4, Resulting Numbers: [5, 4]
Generated Node #0,2,0: 16:[5, 4] Operation: 64/16=4
Exploring Operation: 64-5=59, Resulting Numbers: [16, 59]
Generated Node #0,2,1: 16:[16, 59] Operation: 64-5=59
Exploring Operation: 64-16=48, Resulting Numbers: [5, 48]
Generated Node #0,2,2: 16:[5, 48] Operation: 64-16=48
Moving to Node #0,1
Current State: 16:[16, 78, 19], Operations: ['83-64=19']
Exploring Operation: 78-19=59, Resulting Numbers: [16, 59]
Generated Node #0,1,0: 16:[16, 59] Operation: 78-19=59
Exploring Operation: 19-16=3, Resulting Numbers: [78, 3]
Generated Node #0,1,1: 16:[78, 3] Operation: 19-16=3
Exploring Operation: 78-16=62, Resulting Numbers: [19, 62]
Generated Node #0,1,2: 16:[19, 62] Operation: 78-16=62
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 16:[16, 59], Operations: ['83-64=19', '78-19=59']
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 16*59=944, Resulting Numbers: [944]
944,16 unequal: No Solution
Exploring Operation: 16+59=75, Resulting Numbers: [75]
75,16 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 #0,1,2
Current State: 16:[19, 62], Operations: ['83-64=19', '78-16=62']
Exploring Operation: 19+62=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Exploring Operation: 62-19=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 19*62=1178, Resulting Numbers: [1178]
1178,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 16:[78, 3], Operations: ['83-64=19', '19-16=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,16 unequal: No Solution
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,16 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: 16:[83, 16, 14], Operations: ['78-64=14']
Exploring Operation: 16-14=2, Resulting Numbers: [83, 2]
Generated Node #0,0,0: 16:[83, 2] Operation: 16-14=2
Exploring Operation: 83-14=69, Resulting Numbers: [16, 69]
Generated Node #0,0,1: 16:[16, 69] Operation: 83-14=69
Exploring Operation: 83-16=67, Resulting Numbers: [14, 67]
Generated Node #0,0,2: 16:[14, 67] Operation: 83-16=67
Moving to Node #0,2,0
Current State: 16:[5, 4], Operations: ['83-78=5', '64/16=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,16 unequal: No Solution
Moving to Node #0,2,2
Current State: 16:[5, 48], Operations: ['83-78=5', '64-16=48']
Exploring Operation: 5*48=240, Resulting Numbers: [240]
240,16 unequal: No Solution
Exploring Operation: 5+48=53, Resulting Numbers: [53]
53,16 unequal: No Solution
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Moving to Node #0,2,1
Current State: 16:[16, 59], Operations: ['83-78=5', '64-5=59']
Exploring Operation: 16*59=944, Resulting Numbers: [944]
944,16 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 16+59=75, Resulting Numbers: [75]
75,16 unequal: No Solution
Moving to Node #0,0,2
Current State: 16:[14, 67], Operations: ['78-64=14', '83-16=67']
Exploring Operation: 14*67=938, Resulting Numbers: [938]
938,16 unequal: No Solution
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,16 unequal: No Solution
Exploring Operation: 14+67=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Moving to Node #0,0,1
Current State: 16:[16, 69], Operations: ['78-64=14', '83-14=69']
Exploring Operation: 16*69=1104, Resulting Numbers: [1104]
1104,16 unequal: No Solution
Exploring Operation: 16+69=85, Resulting Numbers: [85]
85,16 unequal: No Solution
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,16 unequal: No Solution
Moving to Node #0,0,0
Current State: 16:[83, 2], Operations: ['78-64=14', '16-14=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,16 unequal: No Solution
Exploring Operation: 83*2=166, Resulting Numbers: [166]
166,16 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
62,
6,
72,
64
] | 39 | [
"64-62=2",
"6+72=78",
"78/2=39"
] | Current State: 39:[62, 6, 72, 64], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [6, 72, 2]
Generated Node #2: [6, 72, 2] from Operation: 64-62=2
Current State: 39:[6, 72, 2], Operations: ['64-62=2']
Exploring Operation: 6+72=78, Resulting Numbers: [2, 78]
Generated Node #3: [2, 78] from Operation: 6+72=78
Current State: 39:[2, 78], Operations: ['64-62=2', '6+72=78']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[62, 6, 72, 64], Operations: []
Exploring Operation: 72-62=10, Resulting Numbers: [6, 64, 10]
Generated Node #0,0: 39:[6, 64, 10] Operation: 72-62=10
Moving to Node #0,0
Current State: 39:[6, 64, 10], Operations: ['72-62=10']
Exploring Operation: 64-10=54, Resulting Numbers: [6, 54]
Generated Node #0,0,0: 39:[6, 54] Operation: 64-10=54
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[6, 54], Operations: ['72-62=10', '64-10=54']
Exploring Operation: 54/6=9, Resulting Numbers: [9]
9,39 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 |
[
44,
99,
94,
11
] | 47 | [
"44*94=4136",
"99-11=88",
"4136/88=47"
] | Current State: 47:[44, 99, 94, 11], Operations: []
Exploring Operation: 44*94=4136, Resulting Numbers: [99, 11, 4136]
Generated Node #2: [99, 11, 4136] from Operation: 44*94=4136
Current State: 47:[99, 11, 4136], Operations: ['44*94=4136']
Exploring Operation: 99-11=88, Resulting Numbers: [4136, 88]
Generated Node #3: [4136, 88] from Operation: 99-11=88
Current State: 47:[4136, 88], Operations: ['44*94=4136', '99-11=88']
Exploring Operation: 4136/88=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[44, 99, 94, 11], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [44, 11, 5]
Generated Node #0,0: 47:[44, 11, 5] Operation: 99-94=5
Moving to Node #0,0
Current State: 47:[44, 11, 5], Operations: ['99-94=5']
Exploring Operation: 11*5=55, Resulting Numbers: [44, 55]
Generated Node #0,0,0: 47:[44, 55] Operation: 11*5=55
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[44, 55], Operations: ['99-94=5', '11*5=55']
Exploring Operation: 55-44=11, Resulting Numbers: [11]
11,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
12,
98,
88,
54
] | 52 | [
"98-12=86",
"88-54=34",
"86-34=52"
] | Current State: 52:[12, 98, 88, 54], Operations: []
Exploring Operation: 98-12=86, Resulting Numbers: [88, 54, 86]
Generated Node #2: [88, 54, 86] from Operation: 98-12=86
Current State: 52:[88, 54, 86], Operations: ['98-12=86']
Exploring Operation: 88-54=34, Resulting Numbers: [86, 34]
Generated Node #3: [86, 34] from Operation: 88-54=34
Current State: 52:[86, 34], Operations: ['98-12=86', '88-54=34']
Exploring Operation: 86-34=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[12, 98, 88, 54], Operations: []
Exploring Operation: 98-54=44, Resulting Numbers: [12, 88, 44]
Generated Node #0,0: 52:[12, 88, 44] Operation: 98-54=44
Exploring Operation: 98-88=10, Resulting Numbers: [12, 54, 10]
Generated Node #0,1: 52:[12, 54, 10] Operation: 98-88=10
Moving to Node #0,1
Current State: 52:[12, 54, 10], Operations: ['98-88=10']
Exploring Operation: 12+10=22, Resulting Numbers: [54, 22]
Generated Node #0,1,0: 52:[54, 22] Operation: 12+10=22
Exploring Operation: 12-10=2, Resulting Numbers: [54, 2]
Generated Node #0,1,1: 52:[54, 2] Operation: 12-10=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 52:[54, 2], Operations: ['98-88=10', '12-10=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[12, 98, 88, 54], Operations: []
Exploring Operation: 98-88=10, Resulting Numbers: [12, 54, 10]
Generated Node #0,1: 52:[12, 54, 10] Operation: 98-88=10
Moving to Node #0,1
Current State: 52:[12, 54, 10], Operations: ['98-88=10']
Exploring Operation: 12-10=2, Resulting Numbers: [54, 2]
Generated Node #0,1,1: 52:[54, 2] Operation: 12-10=2
Moving to Node #0,1,1
Current State: 52:[54, 2], Operations: ['98-88=10', '12-10=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
99,
38,
49,
58
] | 66 | [
"99*58=5742",
"38+49=87",
"5742/87=66"
] | Current State: 66:[99, 38, 49, 58], Operations: []
Exploring Operation: 99*58=5742, Resulting Numbers: [38, 49, 5742]
Generated Node #2: [38, 49, 5742] from Operation: 99*58=5742
Current State: 66:[38, 49, 5742], Operations: ['99*58=5742']
Exploring Operation: 38+49=87, Resulting Numbers: [5742, 87]
Generated Node #3: [5742, 87] from Operation: 38+49=87
Current State: 66:[5742, 87], Operations: ['99*58=5742', '38+49=87']
Exploring Operation: 5742/87=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[99, 38, 49, 58], Operations: []
Exploring Operation: 99-38=61, Resulting Numbers: [49, 58, 61]
Generated Node #0,0: 66:[49, 58, 61] Operation: 99-38=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[49, 58, 61], Operations: ['99-38=61']
Exploring Operation: 58-49=9, Resulting Numbers: [61, 9]
Generated Node #0,0,0: 66:[61, 9] Operation: 58-49=9
Moving to Node #0,0,0
Current State: 66:[61, 9], Operations: ['99-38=61', '58-49=9']
Exploring Operation: 61+9=70, Resulting Numbers: [70]
70,66 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,
26,
50,
34
] | 81 | [
"91-26=65",
"50-34=16",
"65+16=81"
] | Current State: 81:[91, 26, 50, 34], Operations: []
Exploring Operation: 91-26=65, Resulting Numbers: [50, 34, 65]
Generated Node #2: [50, 34, 65] from Operation: 91-26=65
Current State: 81:[50, 34, 65], Operations: ['91-26=65']
Exploring Operation: 50-34=16, Resulting Numbers: [65, 16]
Generated Node #3: [65, 16] from Operation: 50-34=16
Current State: 81:[65, 16], Operations: ['91-26=65', '50-34=16']
Exploring Operation: 65+16=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[91, 26, 50, 34], Operations: []
Exploring Operation: 50-34=16, Resulting Numbers: [91, 26, 16]
Generated Node #0,0: 81:[91, 26, 16] Operation: 50-34=16
Exploring Operation: 50-26=24, Resulting Numbers: [91, 34, 24]
Generated Node #0,1: 81:[91, 34, 24] Operation: 50-26=24
Exploring Operation: 50+34=84, Resulting Numbers: [91, 26, 84]
Generated Node #0,2: 81:[91, 26, 84] Operation: 50+34=84
Start Sub Search at level 1: Moving to Node #0,2
Current State: 81:[91, 26, 84], Operations: ['50+34=84']
Exploring Operation: 91-84=7, Resulting Numbers: [26, 7]
Generated Node #0,2,0: 81:[26, 7] Operation: 91-84=7
Exploring Operation: 84-26=58, Resulting Numbers: [91, 58]
Generated Node #0,2,1: 81:[91, 58] Operation: 84-26=58
Exploring Operation: 91-26=65, Resulting Numbers: [84, 65]
Generated Node #0,2,2: 81:[84, 65] Operation: 91-26=65
Moving to Node #0,2,0
Current State: 81:[26, 7], Operations: ['50+34=84', '91-84=7']
Exploring Operation: 26*7=182, Resulting Numbers: [182]
182,81 unequal: No Solution
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,81 unequal: No Solution
Exploring Operation: 26+7=33, Resulting Numbers: [33]
33,81 unequal: No Solution
Moving to Node #0,2,2
Current State: 81:[84, 65], Operations: ['50+34=84', '91-26=65']
Exploring Operation: 84+65=149, Resulting Numbers: [149]
149,81 unequal: No Solution
Exploring Operation: 84*65=5460, Resulting Numbers: [5460]
5460,81 unequal: No Solution
Exploring Operation: 84-65=19, Resulting Numbers: [19]
19,81 unequal: No Solution
Moving to Node #0,2,1
Current State: 81:[91, 58], Operations: ['50+34=84', '84-26=58']
Exploring Operation: 91*58=5278, Resulting Numbers: [5278]
5278,81 unequal: No Solution
Exploring Operation: 91-58=33, Resulting Numbers: [33]
33,81 unequal: No Solution
Exploring Operation: 91+58=149, Resulting Numbers: [149]
149,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[91, 26, 16], Operations: ['50-34=16']
Exploring Operation: 91-26=65, Resulting Numbers: [16, 65]
Generated Node #0,0,0: 81:[16, 65] Operation: 91-26=65
Exploring Operation: 91-16=75, Resulting Numbers: [26, 75]
Generated Node #0,0,1: 81:[26, 75] Operation: 91-16=75
Exploring Operation: 26-16=10, Resulting Numbers: [91, 10]
Generated Node #0,0,2: 81:[91, 10] Operation: 26-16=10
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 81:[26, 75], Operations: ['50-34=16', '91-16=75']
Exploring Operation: 26*75=1950, Resulting Numbers: [1950]
1950,81 unequal: No Solution
Exploring Operation: 26+75=101, Resulting Numbers: [101]
101,81 unequal: No Solution
Exploring Operation: 75-26=49, Resulting Numbers: [49]
49,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 81:[91, 10], Operations: ['50-34=16', '26-16=10']
Exploring Operation: 91-10=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[91, 26, 50, 34], Operations: []
Exploring Operation: 50-34=16, Resulting Numbers: [91, 26, 16]
Generated Node #0,0: 81:[91, 26, 16] Operation: 50-34=16
Moving to Node #0,0
Current State: 81:[91, 26, 16], Operations: ['50-34=16']
Exploring Operation: 26-16=10, Resulting Numbers: [91, 10]
Generated Node #0,0,2: 81:[91, 10] Operation: 26-16=10
Moving to Node #0,0,2
Current State: 81:[91, 10], Operations: ['50-34=16', '26-16=10']
Exploring Operation: 91-10=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.977431 | hs_3 | mult_heuristic |
[
23,
52,
17,
57
] | 11 | [
"52-23=29",
"57-17=40",
"40-29=11"
] | Current State: 11:[23, 52, 17, 57], Operations: []
Exploring Operation: 52-23=29, Resulting Numbers: [17, 57, 29]
Generated Node #2: [17, 57, 29] from Operation: 52-23=29
Current State: 11:[17, 57, 29], Operations: ['52-23=29']
Exploring Operation: 57-17=40, Resulting Numbers: [29, 40]
Generated Node #3: [29, 40] from Operation: 57-17=40
Current State: 11:[29, 40], Operations: ['52-23=29', '57-17=40']
Exploring Operation: 40-29=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[23, 52, 17, 57], Operations: []
Exploring Operation: 57-52=5, Resulting Numbers: [23, 17, 5]
Generated Node #0,0: 11:[23, 17, 5] Operation: 57-52=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[23, 17, 5], Operations: ['57-52=5']
Exploring Operation: 23-17=6, Resulting Numbers: [5, 6]
Generated Node #0,0,0: 11:[5, 6] Operation: 23-17=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[5, 6], Operations: ['57-52=5', '23-17=6']
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[23, 52, 17, 57], Operations: []
Exploring Operation: 57-52=5, Resulting Numbers: [23, 17, 5]
Generated Node #0,0: 11:[23, 17, 5] Operation: 57-52=5
Moving to Node #0,0
Current State: 11:[23, 17, 5], Operations: ['57-52=5']
Exploring Operation: 23-17=6, Resulting Numbers: [5, 6]
Generated Node #0,0,0: 11:[5, 6] Operation: 23-17=6
Moving to Node #0,0,0
Current State: 11:[5, 6], Operations: ['57-52=5', '23-17=6']
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
7,
29,
21,
84
] | 38 | [
"84/7=12",
"29+21=50",
"50-12=38"
] | Current State: 38:[7, 29, 21, 84], Operations: []
Exploring Operation: 84/7=12, Resulting Numbers: [29, 21, 12]
Generated Node #2: [29, 21, 12] from Operation: 84/7=12
Current State: 38:[29, 21, 12], Operations: ['84/7=12']
Exploring Operation: 29+21=50, Resulting Numbers: [12, 50]
Generated Node #3: [12, 50] from Operation: 29+21=50
Current State: 38:[12, 50], Operations: ['84/7=12', '29+21=50']
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[7, 29, 21, 84], Operations: []
Exploring Operation: 84/21=4, Resulting Numbers: [7, 29, 4]
Generated Node #0,0: 38:[7, 29, 4] Operation: 84/21=4
Exploring Operation: 84-21=63, Resulting Numbers: [7, 29, 63]
Generated Node #0,1: 38:[7, 29, 63] Operation: 84-21=63
Exploring Operation: 84-29=55, Resulting Numbers: [7, 21, 55]
Generated Node #0,2: 38:[7, 21, 55] Operation: 84-29=55
Exploring Operation: 84/7=12, Resulting Numbers: [29, 21, 12]
Generated Node #0,3: 38:[29, 21, 12] Operation: 84/7=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[7, 29, 4], Operations: ['84/21=4']
Exploring Operation: 7-4=3, Resulting Numbers: [29, 3]
Generated Node #0,0,0: 38:[29, 3] Operation: 7-4=3
Exploring Operation: 7+29=36, Resulting Numbers: [4, 36]
Generated Node #0,0,1: 38:[4, 36] Operation: 7+29=36
Exploring Operation: 29-7=22, Resulting Numbers: [4, 22]
Generated Node #0,0,2: 38:[4, 22] Operation: 29-7=22
Exploring Operation: 29+4=33, Resulting Numbers: [7, 33]
Generated Node #0,0,3: 38:[7, 33] Operation: 29+4=33
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 38:[4, 36], Operations: ['84/21=4', '7+29=36']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,38 unequal: No Solution
Exploring Operation: 4+36=40, Resulting Numbers: [40]
40,38 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Exploring Operation: 4*36=144, Resulting Numbers: [144]
144,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 38:[4, 22], Operations: ['84/21=4', '29-7=22']
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,38 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 38:[29, 3], Operations: ['84/21=4', '7-4=3']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,38 unequal: No Solution
Exploring Operation: 29*3=87, Resulting Numbers: [87]
87,38 unequal: No Solution
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 38:[7, 33], Operations: ['84/21=4', '29+4=33']
Exploring Operation: 7+33=40, Resulting Numbers: [40]
40,38 unequal: No Solution
Exploring Operation: 7*33=231, Resulting Numbers: [231]
231,38 unequal: No Solution
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 38:[29, 21, 12], Operations: ['84/7=12']
Exploring Operation: 29-21=8, Resulting Numbers: [12, 8]
Generated Node #0,3,0: 38:[12, 8] Operation: 29-21=8
Exploring Operation: 21+12=33, Resulting Numbers: [29, 33]
Generated Node #0,3,1: 38:[29, 33] Operation: 21+12=33
Exploring Operation: 29+12=41, Resulting Numbers: [21, 41]
Generated Node #0,3,2: 38:[21, 41] Operation: 29+12=41
Exploring Operation: 29-12=17, Resulting Numbers: [21, 17]
Generated Node #0,3,3: 38:[21, 17] Operation: 29-12=17
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 38:[21, 17], Operations: ['84/7=12', '29-12=17']
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[7, 29, 21, 84], Operations: []
Exploring Operation: 84/7=12, Resulting Numbers: [29, 21, 12]
Generated Node #0,3: 38:[29, 21, 12] Operation: 84/7=12
Moving to Node #0,3
Current State: 38:[29, 21, 12], Operations: ['84/7=12']
Exploring Operation: 29-12=17, Resulting Numbers: [21, 17]
Generated Node #0,3,3: 38:[21, 17] Operation: 29-12=17
Moving to Node #0,3,3
Current State: 38:[21, 17], Operations: ['84/7=12', '29-12=17']
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.973958 | hs_4 | mult_heuristic |
[
8,
15,
8,
3
] | 73 | [
"8+3=11",
"8*11=88",
"88-15=73"
] | Current State: 73:[8, 15, 8, 3], Operations: []
Exploring Operation: 8+3=11, Resulting Numbers: [15, 11]
Generated Node #2: [15, 11] from Operation: 8+3=11
Current State: 73:[15, 11], Operations: ['8+3=11']
Exploring Operation: 8*11=88, Resulting Numbers: [15, 88]
Generated Node #3: [15, 88] from Operation: 8*11=88
Current State: 73:[15, 88], Operations: ['8+3=11', '8*11=88']
Exploring Operation: 88-15=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[8, 15, 8, 3], Operations: []
Exploring Operation: 15*3=45, Resulting Numbers: [8, 8, 45]
Generated Node #0,0: 73:[8, 8, 45] Operation: 15*3=45
Exploring Operation: 8*8=64, Resulting Numbers: [15, 3, 64]
Generated Node #0,1: 73:[15, 3, 64] Operation: 8*8=64
Exploring Operation: 8*3=24, Resulting Numbers: [15, 8, 24]
Generated Node #0,2: 73:[15, 8, 24] Operation: 8*3=24
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[15, 3, 64], Operations: ['8*8=64']
Exploring Operation: 3+64=67, Resulting Numbers: [15, 67]
Generated Node #0,1,0: 73:[15, 67] Operation: 3+64=67
Exploring Operation: 15+3=18, Resulting Numbers: [64, 18]
Generated Node #0,1,1: 73:[64, 18] Operation: 15+3=18
Exploring Operation: 15*3=45, Resulting Numbers: [64, 45]
Generated Node #0,1,2: 73:[64, 45] Operation: 15*3=45
Moving to Node #0,1,2
Current State: 73:[64, 45], Operations: ['8*8=64', '15*3=45']
Exploring Operation: 64*45=2880, Resulting Numbers: [2880]
2880,73 unequal: No Solution
Exploring Operation: 64+45=109, Resulting Numbers: [109]
109,73 unequal: No Solution
Exploring Operation: 64-45=19, Resulting Numbers: [19]
19,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[15, 67], Operations: ['8*8=64', '3+64=67']
Exploring Operation: 15+67=82, Resulting Numbers: [82]
82,73 unequal: No Solution
Exploring Operation: 15*67=1005, Resulting Numbers: [1005]
1005,73 unequal: No Solution
Exploring Operation: 67-15=52, Resulting Numbers: [52]
52,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[64, 18], Operations: ['8*8=64', '15+3=18']
Exploring Operation: 64-18=46, Resulting Numbers: [46]
46,73 unequal: No Solution
Exploring Operation: 64*18=1152, Resulting Numbers: [1152]
1152,73 unequal: No Solution
Exploring Operation: 64+18=82, Resulting Numbers: [82]
82,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[8, 8, 45], Operations: ['15*3=45']
Exploring Operation: 8+8=16, Resulting Numbers: [45, 16]
Generated Node #0,0,0: 73:[45, 16] Operation: 8+8=16
Exploring Operation: 8+45=53, Resulting Numbers: [8, 53]
Generated Node #0,0,1: 73:[8, 53] Operation: 8+45=53
Exploring Operation: 8*8=64, Resulting Numbers: [45, 64]
Generated Node #0,0,2: 73:[45, 64] Operation: 8*8=64
Moving to Node #0,0,2
Current State: 73:[45, 64], Operations: ['15*3=45', '8*8=64']
Exploring Operation: 45*64=2880, Resulting Numbers: [2880]
2880,73 unequal: No Solution
Exploring Operation: 45+64=109, Resulting Numbers: [109]
109,73 unequal: No Solution
Exploring Operation: 64-45=19, Resulting Numbers: [19]
19,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[45, 16], Operations: ['15*3=45', '8+8=16']
Exploring Operation: 45+16=61, Resulting Numbers: [61]
61,73 unequal: No Solution
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,73 unequal: No Solution
Exploring Operation: 45*16=720, Resulting Numbers: [720]
720,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[8, 53], Operations: ['15*3=45', '8+45=53']
Exploring Operation: 8*53=424, Resulting Numbers: [424]
424,73 unequal: No Solution
Exploring Operation: 8+53=61, Resulting Numbers: [61]
61,73 unequal: No Solution
Exploring Operation: 53-8=45, Resulting Numbers: [45]
45,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[15, 8, 24], Operations: ['8*3=24']
Exploring Operation: 15+24=39, Resulting Numbers: [8, 39]
Generated Node #0,2,0: 73:[8, 39] Operation: 15+24=39
Exploring Operation: 15+8=23, Resulting Numbers: [24, 23]
Generated Node #0,2,1: 73:[24, 23] Operation: 15+8=23
Exploring Operation: 15*8=120, Resulting Numbers: [24, 120]
Generated Node #0,2,2: 73:[24, 120] Operation: 15*8=120
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 73:[24, 120], Operations: ['8*3=24', '15*8=120']
Exploring Operation: 24+120=144, Resulting Numbers: [144]
144,73 unequal: No Solution
Exploring Operation: 120-24=96, Resulting Numbers: [96]
96,73 unequal: No Solution
Exploring Operation: 120/24=5, Resulting Numbers: [5]
5,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 73:[8, 39], Operations: ['8*3=24', '15+24=39']
Exploring Operation: 39-8=31, Resulting Numbers: [31]
31,73 unequal: No Solution
Exploring Operation: 8+39=47, Resulting Numbers: [47]
47,73 unequal: No Solution
Exploring Operation: 8*39=312, Resulting Numbers: [312]
312,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 73:[24, 23], Operations: ['8*3=24', '15+8=23']
Exploring Operation: 24*23=552, Resulting Numbers: [552]
552,73 unequal: No Solution
Exploring Operation: 24+23=47, Resulting Numbers: [47]
47,73 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
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