nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
49,
29,
81,
26
] | 47 | [
"81-29=52",
"52/26=2",
"49-2=47"
] | Current State: 47:[49, 29, 81, 26], Operations: []
Exploring Operation: 81-29=52, Resulting Numbers: [49, 26, 52]
Generated Node #2: [49, 26, 52] from Operation: 81-29=52
Current State: 47:[49, 26, 52], Operations: ['81-29=52']
Exploring Operation: 52/26=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 52/26=2
Current State: 47:[49, 2], Operations: ['81-29=52', '52/26=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
56,
27,
6,
20
] | 14 | [
"27-20=7",
"56/7=8",
"6+8=14"
] | Current State: 14:[56, 27, 6, 20], Operations: []
Exploring Operation: 27-20=7, Resulting Numbers: [56, 6, 7]
Generated Node #2: [56, 6, 7] from Operation: 27-20=7
Current State: 14:[56, 6, 7], Operations: ['27-20=7']
Exploring Operation: 56/7=8, Resulting Numbers: [6, 8]
Generated Node #3: [6, 8] from Operation: 56/7=8
Current State: 14:[6, 8], Operations: ['27-20=7', '56/7=8']
Exploring Operation: 6+8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
27,
13,
33,
26
] | 78 | [
"33-27=6",
"26-13=13",
"6*13=78"
] | Current State: 78:[27, 13, 33, 26], Operations: []
Exploring Operation: 33-27=6, Resulting Numbers: [13, 26, 6]
Generated Node #2: [13, 26, 6] from Operation: 33-27=6
Current State: 78:[13, 26, 6], Operations: ['33-27=6']
Exploring Operation: 26-13=13, Resulting Numbers: [6, 13]
Generated Node #3: [6, 13] from Operation: 26-13=13
Current State: 78:[6, 13], Operations: ['33-27=6', '26-13=13']
Exploring Operation: 6*13=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
47,
37,
10,
70
] | 90 | [
"47-37=10",
"10+70=80",
"10+80=90"
] | Current State: 90:[47, 37, 10, 70], Operations: []
Exploring Operation: 47-37=10, Resulting Numbers: [10, 70, 10]
Generated Node #2: [10, 70, 10] from Operation: 47-37=10
Current State: 90:[10, 70, 10], Operations: ['47-37=10']
Exploring Operation: 10+70=80, Resulting Numbers: [80]
80,90 equal: Goal Reached
Exploring Operation: 10+80=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
65,
63,
35,
36
] | 45 | [
"35*36=1260",
"1260/63=20",
"65-20=45"
] | Current State: 45:[65, 63, 35, 36], Operations: []
Exploring Operation: 35*36=1260, Resulting Numbers: [65, 63, 1260]
Generated Node #2: [65, 63, 1260] from Operation: 35*36=1260
Current State: 45:[65, 63, 1260], Operations: ['35*36=1260']
Exploring Operation: 1260/63=20, Resulting Numbers: [65, 20]
Generated Node #3: [65, 20] from Operation: 1260/63=20
Current State: 45:[65, 20], Operations: ['35*36=1260', '1260/63=20']
Exploring Operation: 65-20=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
14,
94,
40,
59
] | 23 | [
"14*59=826",
"94+826=920",
"920/40=23"
] | Current State: 23:[14, 94, 40, 59], Operations: []
Exploring Operation: 14*59=826, Resulting Numbers: [94, 40, 826]
Generated Node #2: [94, 40, 826] from Operation: 14*59=826
Current State: 23:[94, 40, 826], Operations: ['14*59=826']
Exploring Operation: 94+826=920, Resulting Numbers: [40, 920]
Generated Node #3: [40, 920] from Operation: 94+826=920
Current State: 23:[40, 920], Operations: ['14*59=826', '94+826=920']
Exploring Operation: 920/40=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
6,
20,
25,
29
] | 22 | [
"6+20=26",
"29-25=4",
"26-4=22"
] | Current State: 22:[6, 20, 25, 29], Operations: []
Exploring Operation: 6+20=26, Resulting Numbers: [25, 29, 26]
Generated Node #2: [25, 29, 26] from Operation: 6+20=26
Current State: 22:[25, 29, 26], Operations: ['6+20=26']
Exploring Operation: 29-25=4, Resulting Numbers: [26, 4]
Generated Node #3: [26, 4] from Operation: 29-25=4
Current State: 22:[26, 4], Operations: ['6+20=26', '29-25=4']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
70,
40,
84,
54
] | 89 | [
"54-40=14",
"70/14=5",
"84+5=89"
] | Current State: 89:[70, 40, 84, 54], Operations: []
Exploring Operation: 54-40=14, Resulting Numbers: [70, 84, 14]
Generated Node #2: [70, 84, 14] from Operation: 54-40=14
Current State: 89:[70, 84, 14], Operations: ['54-40=14']
Exploring Operation: 70/14=5, Resulting Numbers: [84, 5]
Generated Node #3: [84, 5] from Operation: 70/14=5
Current State: 89:[84, 5], Operations: ['54-40=14', '70/14=5']
Exploring Operation: 84+5=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
27,
76,
20,
24
] | 45 | [
"76-27=49",
"24-20=4",
"49-4=45"
] | Current State: 45:[27, 76, 20, 24], Operations: []
Exploring Operation: 76-27=49, Resulting Numbers: [20, 24, 49]
Generated Node #2: [20, 24, 49] from Operation: 76-27=49
Current State: 45:[20, 24, 49], Operations: ['76-27=49']
Exploring Operation: 24-20=4, Resulting Numbers: [49, 4]
Generated Node #3: [49, 4] from Operation: 24-20=4
Current State: 45:[49, 4], Operations: ['76-27=49', '24-20=4']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
69,
92,
23,
18
] | 25 | [
"69+92=161",
"161/23=7",
"18+7=25"
] | Current State: 25:[69, 92, 23, 18], Operations: []
Exploring Operation: 69+92=161, Resulting Numbers: [23, 18, 161]
Generated Node #2: [23, 18, 161] from Operation: 69+92=161
Current State: 25:[23, 18, 161], Operations: ['69+92=161']
Exploring Operation: 161/23=7, Resulting Numbers: [18, 7]
Generated Node #3: [18, 7] from Operation: 161/23=7
Current State: 25:[18, 7], Operations: ['69+92=161', '161/23=7']
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
11,
43,
45,
2
] | 79 | [
"43-11=32",
"45+2=47",
"32+47=79"
] | Current State: 79:[11, 43, 45, 2], Operations: []
Exploring Operation: 43-11=32, Resulting Numbers: [45, 2, 32]
Generated Node #2: [45, 2, 32] from Operation: 43-11=32
Current State: 79:[45, 2, 32], Operations: ['43-11=32']
Exploring Operation: 45+2=47, Resulting Numbers: [32, 47]
Generated Node #3: [32, 47] from Operation: 45+2=47
Current State: 79:[32, 47], Operations: ['43-11=32', '45+2=47']
Exploring Operation: 32+47=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
79,
83,
28,
78
] | 71 | [
"83-79=4",
"28/4=7",
"78-7=71"
] | Current State: 71:[79, 83, 28, 78], Operations: []
Exploring Operation: 83-79=4, Resulting Numbers: [28, 78, 4]
Generated Node #2: [28, 78, 4] from Operation: 83-79=4
Current State: 71:[28, 78, 4], Operations: ['83-79=4']
Exploring Operation: 28/4=7, Resulting Numbers: [78, 7]
Generated Node #3: [78, 7] from Operation: 28/4=7
Current State: 71:[78, 7], Operations: ['83-79=4', '28/4=7']
Exploring Operation: 78-7=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
32,
35,
20,
33
] | 89 | [
"32*35=1120",
"1120/20=56",
"33+56=89"
] | Current State: 89:[32, 35, 20, 33], Operations: []
Exploring Operation: 32*35=1120, Resulting Numbers: [20, 33, 1120]
Generated Node #2: [20, 33, 1120] from Operation: 32*35=1120
Current State: 89:[20, 33, 1120], Operations: ['32*35=1120']
Exploring Operation: 1120/20=56, Resulting Numbers: [33, 56]
Generated Node #3: [33, 56] from Operation: 1120/20=56
Current State: 89:[33, 56], Operations: ['32*35=1120', '1120/20=56']
Exploring Operation: 33+56=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
60,
20,
21,
59
] | 83 | [
"60/20=3",
"21+59=80",
"3+80=83"
] | Current State: 83:[60, 20, 21, 59], Operations: []
Exploring Operation: 60/20=3, Resulting Numbers: [21, 59, 3]
Generated Node #2: [21, 59, 3] from Operation: 60/20=3
Current State: 83:[21, 59, 3], Operations: ['60/20=3']
Exploring Operation: 21+59=80, Resulting Numbers: [3, 80]
Generated Node #3: [3, 80] from Operation: 21+59=80
Current State: 83:[3, 80], Operations: ['60/20=3', '21+59=80']
Exploring Operation: 3+80=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
39,
54,
30,
64
] | 79 | [
"54-39=15",
"30+64=94",
"94-15=79"
] | Current State: 79:[39, 54, 30, 64], Operations: []
Exploring Operation: 54-39=15, Resulting Numbers: [30, 64, 15]
Generated Node #2: [30, 64, 15] from Operation: 54-39=15
Current State: 79:[30, 64, 15], Operations: ['54-39=15']
Exploring Operation: 30+64=94, Resulting Numbers: [15, 94]
Generated Node #3: [15, 94] from Operation: 30+64=94
Current State: 79:[15, 94], Operations: ['54-39=15', '30+64=94']
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
96,
27,
56,
54
] | 75 | [
"56-54=2",
"96/2=48",
"27+48=75"
] | Current State: 75:[96, 27, 56, 54], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [96, 27, 2]
Generated Node #2: [96, 27, 2] from Operation: 56-54=2
Current State: 75:[96, 27, 2], Operations: ['56-54=2']
Exploring Operation: 96/2=48, Resulting Numbers: [27, 48]
Generated Node #3: [27, 48] from Operation: 96/2=48
Current State: 75:[27, 48], Operations: ['56-54=2', '96/2=48']
Exploring Operation: 27+48=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
20,
17,
23,
44
] | 80 | [
"17+23=40",
"44-40=4",
"20*4=80"
] | Current State: 80:[20, 17, 23, 44], Operations: []
Exploring Operation: 17+23=40, Resulting Numbers: [20, 44, 40]
Generated Node #2: [20, 44, 40] from Operation: 17+23=40
Current State: 80:[20, 44, 40], Operations: ['17+23=40']
Exploring Operation: 44-40=4, Resulting Numbers: [20, 4]
Generated Node #3: [20, 4] from Operation: 44-40=4
Current State: 80:[20, 4], Operations: ['17+23=40', '44-40=4']
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
16,
70,
28,
46
] | 20 | [
"70-16=54",
"28+46=74",
"74-54=20"
] | Current State: 20:[16, 70, 28, 46], Operations: []
Exploring Operation: 70-16=54, Resulting Numbers: [28, 46, 54]
Generated Node #2: [28, 46, 54] from Operation: 70-16=54
Current State: 20:[28, 46, 54], Operations: ['70-16=54']
Exploring Operation: 28+46=74, Resulting Numbers: [54, 74]
Generated Node #3: [54, 74] from Operation: 28+46=74
Current State: 20:[54, 74], Operations: ['70-16=54', '28+46=74']
Exploring Operation: 74-54=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
12,
99,
64,
3
] | 83 | [
"12/3=4",
"64/4=16",
"99-16=83"
] | Current State: 83:[12, 99, 64, 3], Operations: []
Exploring Operation: 12/3=4, Resulting Numbers: [99, 64, 4]
Generated Node #2: [99, 64, 4] from Operation: 12/3=4
Current State: 83:[99, 64, 4], Operations: ['12/3=4']
Exploring Operation: 64/4=16, Resulting Numbers: [99, 16]
Generated Node #3: [99, 16] from Operation: 64/4=16
Current State: 83:[99, 16], Operations: ['12/3=4', '64/4=16']
Exploring Operation: 99-16=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
39,
78,
1,
32
] | 72 | [
"78-39=39",
"1+32=33",
"39+33=72"
] | Current State: 72:[39, 78, 1, 32], Operations: []
Exploring Operation: 78-39=39, Resulting Numbers: [1, 32, 39]
Generated Node #2: [1, 32, 39] from Operation: 78-39=39
Current State: 72:[1, 32, 39], Operations: ['78-39=39']
Exploring Operation: 1+32=33, Resulting Numbers: [39, 33]
Generated Node #3: [39, 33] from Operation: 1+32=33
Current State: 72:[39, 33], Operations: ['78-39=39', '1+32=33']
Exploring Operation: 39+33=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
97,
88,
91,
71
] | 78 | [
"97-71=26",
"91-88=3",
"26*3=78"
] | Current State: 78:[97, 88, 91, 71], Operations: []
Exploring Operation: 97-71=26, Resulting Numbers: [88, 91, 26]
Generated Node #2: [88, 91, 26] from Operation: 97-71=26
Current State: 78:[88, 91, 26], Operations: ['97-71=26']
Exploring Operation: 91-88=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 91-88=3
Current State: 78:[26, 3], Operations: ['97-71=26', '91-88=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
70,
48,
81,
5
] | 89 | [
"70+81=151",
"48*5=240",
"240-151=89"
] | Current State: 89:[70, 48, 81, 5], Operations: []
Exploring Operation: 70+81=151, Resulting Numbers: [48, 5, 151]
Generated Node #2: [48, 5, 151] from Operation: 70+81=151
Current State: 89:[48, 5, 151], Operations: ['70+81=151']
Exploring Operation: 48*5=240, Resulting Numbers: [151, 240]
Generated Node #3: [151, 240] from Operation: 48*5=240
Current State: 89:[151, 240], Operations: ['70+81=151', '48*5=240']
Exploring Operation: 240-151=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
3,
2,
69,
97
] | 17 | [
"97-69=28",
"28/2=14",
"3+14=17"
] | Current State: 17:[3, 2, 69, 97], Operations: []
Exploring Operation: 97-69=28, Resulting Numbers: [3, 2, 28]
Generated Node #2: [3, 2, 28] from Operation: 97-69=28
Current State: 17:[3, 2, 28], Operations: ['97-69=28']
Exploring Operation: 28/2=14, Resulting Numbers: [3, 14]
Generated Node #3: [3, 14] from Operation: 28/2=14
Current State: 17:[3, 14], Operations: ['97-69=28', '28/2=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
84,
7,
76,
72
] | 72 | [
"84-7=77",
"77-76=1",
"72*1=72"
] | Current State: 72:[84, 7, 76, 72], Operations: []
Exploring Operation: 84-7=77, Resulting Numbers: [76, 72, 77]
Generated Node #2: [76, 72, 77] from Operation: 84-7=77
Current State: 72:[76, 72, 77], Operations: ['84-7=77']
Exploring Operation: 77-76=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 77-76=1
Current State: 72:[72, 1], Operations: ['84-7=77', '77-76=1']
Exploring Operation: 72*1=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
71,
50,
74,
37
] | 58 | [
"71-50=21",
"74-37=37",
"21+37=58"
] | Current State: 58:[71, 50, 74, 37], Operations: []
Exploring Operation: 71-50=21, Resulting Numbers: [74, 37, 21]
Generated Node #2: [74, 37, 21] from Operation: 71-50=21
Current State: 58:[74, 37, 21], Operations: ['71-50=21']
Exploring Operation: 74-37=37, Resulting Numbers: [21, 37]
Generated Node #3: [21, 37] from Operation: 74-37=37
Current State: 58:[21, 37], Operations: ['71-50=21', '74-37=37']
Exploring Operation: 21+37=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
19,
22,
73,
1
] | 75 | [
"22-19=3",
"73-1=72",
"3+72=75"
] | Current State: 75:[19, 22, 73, 1], Operations: []
Exploring Operation: 22-19=3, Resulting Numbers: [73, 1, 3]
Generated Node #2: [73, 1, 3] from Operation: 22-19=3
Current State: 75:[73, 1, 3], Operations: ['22-19=3']
Exploring Operation: 73-1=72, Resulting Numbers: [3, 72]
Generated Node #3: [3, 72] from Operation: 73-1=72
Current State: 75:[3, 72], Operations: ['22-19=3', '73-1=72']
Exploring Operation: 3+72=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
96,
92,
60,
73
] | 52 | [
"96-92=4",
"73-60=13",
"4*13=52"
] | Current State: 52:[96, 92, 60, 73], Operations: []
Exploring Operation: 96-92=4, Resulting Numbers: [60, 73, 4]
Generated Node #2: [60, 73, 4] from Operation: 96-92=4
Current State: 52:[60, 73, 4], Operations: ['96-92=4']
Exploring Operation: 73-60=13, Resulting Numbers: [4, 13]
Generated Node #3: [4, 13] from Operation: 73-60=13
Current State: 52:[4, 13], Operations: ['96-92=4', '73-60=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
88,
99,
18,
96
] | 34 | [
"99-96=3",
"18*3=54",
"88-54=34"
] | Current State: 34:[88, 99, 18, 96], Operations: []
Exploring Operation: 99-96=3, Resulting Numbers: [88, 18, 3]
Generated Node #2: [88, 18, 3] from Operation: 99-96=3
Current State: 34:[88, 18, 3], Operations: ['99-96=3']
Exploring Operation: 18*3=54, Resulting Numbers: [88, 54]
Generated Node #3: [88, 54] from Operation: 18*3=54
Current State: 34:[88, 54], Operations: ['99-96=3', '18*3=54']
Exploring Operation: 88-54=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
34,
43,
60,
87
] | 70 | [
"34+43=77",
"60+87=147",
"147-77=70"
] | Current State: 70:[34, 43, 60, 87], Operations: []
Exploring Operation: 34+43=77, Resulting Numbers: [60, 87, 77]
Generated Node #2: [60, 87, 77] from Operation: 34+43=77
Current State: 70:[60, 87, 77], Operations: ['34+43=77']
Exploring Operation: 60+87=147, Resulting Numbers: [77, 147]
Generated Node #3: [77, 147] from Operation: 60+87=147
Current State: 70:[77, 147], Operations: ['34+43=77', '60+87=147']
Exploring Operation: 147-77=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
56,
28,
9,
41
] | 73 | [
"56/28=2",
"41*2=82",
"82-9=73"
] | Current State: 73:[56, 28, 9, 41], Operations: []
Exploring Operation: 56/28=2, Resulting Numbers: [9, 41, 2]
Generated Node #2: [9, 41, 2] from Operation: 56/28=2
Current State: 73:[9, 41, 2], Operations: ['56/28=2']
Exploring Operation: 41*2=82, Resulting Numbers: [9, 82]
Generated Node #3: [9, 82] from Operation: 41*2=82
Current State: 73:[9, 82], Operations: ['56/28=2', '41*2=82']
Exploring Operation: 82-9=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
75,
4,
72,
91
] | 60 | [
"75+4=79",
"91-72=19",
"79-19=60"
] | Current State: 60:[75, 4, 72, 91], Operations: []
Exploring Operation: 75+4=79, Resulting Numbers: [72, 91, 79]
Generated Node #2: [72, 91, 79] from Operation: 75+4=79
Current State: 60:[72, 91, 79], Operations: ['75+4=79']
Exploring Operation: 91-72=19, Resulting Numbers: [79, 19]
Generated Node #3: [79, 19] from Operation: 91-72=19
Current State: 60:[79, 19], Operations: ['75+4=79', '91-72=19']
Exploring Operation: 79-19=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
54,
96,
11,
18
] | 35 | [
"96-54=42",
"18-11=7",
"42-7=35"
] | Current State: 35:[54, 96, 11, 18], Operations: []
Exploring Operation: 96-54=42, Resulting Numbers: [11, 18, 42]
Generated Node #2: [11, 18, 42] from Operation: 96-54=42
Current State: 35:[11, 18, 42], Operations: ['96-54=42']
Exploring Operation: 18-11=7, Resulting Numbers: [42, 7]
Generated Node #3: [42, 7] from Operation: 18-11=7
Current State: 35:[42, 7], Operations: ['96-54=42', '18-11=7']
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
65,
32,
20,
26
] | 24 | [
"20*26=520",
"520/65=8",
"32-8=24"
] | Current State: 24:[65, 32, 20, 26], Operations: []
Exploring Operation: 20*26=520, Resulting Numbers: [65, 32, 520]
Generated Node #2: [65, 32, 520] from Operation: 20*26=520
Current State: 24:[65, 32, 520], Operations: ['20*26=520']
Exploring Operation: 520/65=8, Resulting Numbers: [32, 8]
Generated Node #3: [32, 8] from Operation: 520/65=8
Current State: 24:[32, 8], Operations: ['20*26=520', '520/65=8']
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
78,
54,
93,
13
] | 33 | [
"78/13=6",
"93-54=39",
"39-6=33"
] | Current State: 33:[78, 54, 93, 13], Operations: []
Exploring Operation: 78/13=6, Resulting Numbers: [54, 93, 6]
Generated Node #2: [54, 93, 6] from Operation: 78/13=6
Current State: 33:[54, 93, 6], Operations: ['78/13=6']
Exploring Operation: 93-54=39, Resulting Numbers: [6, 39]
Generated Node #3: [6, 39] from Operation: 93-54=39
Current State: 33:[6, 39], Operations: ['78/13=6', '93-54=39']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
22,
52,
50,
72
] | 61 | [
"52-50=2",
"22/2=11",
"72-11=61"
] | Current State: 61:[22, 52, 50, 72], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [22, 72, 2]
Generated Node #2: [22, 72, 2] from Operation: 52-50=2
Current State: 61:[22, 72, 2], Operations: ['52-50=2']
Exploring Operation: 22/2=11, Resulting Numbers: [72, 11]
Generated Node #3: [72, 11] from Operation: 22/2=11
Current State: 61:[72, 11], Operations: ['52-50=2', '22/2=11']
Exploring Operation: 72-11=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
18,
65,
14,
82
] | 13 | [
"18+65=83",
"14+82=96",
"96-83=13"
] | Current State: 13:[18, 65, 14, 82], Operations: []
Exploring Operation: 18+65=83, Resulting Numbers: [14, 82, 83]
Generated Node #2: [14, 82, 83] from Operation: 18+65=83
Current State: 13:[14, 82, 83], Operations: ['18+65=83']
Exploring Operation: 14+82=96, Resulting Numbers: [83, 96]
Generated Node #3: [83, 96] from Operation: 14+82=96
Current State: 13:[83, 96], Operations: ['18+65=83', '14+82=96']
Exploring Operation: 96-83=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
83,
55,
78,
15
] | 20 | [
"83-78=5",
"15*5=75",
"75-55=20"
] | Current State: 20:[83, 55, 78, 15], Operations: []
Exploring Operation: 83-78=5, Resulting Numbers: [55, 15, 5]
Generated Node #2: [55, 15, 5] from Operation: 83-78=5
Current State: 20:[55, 15, 5], Operations: ['83-78=5']
Exploring Operation: 15*5=75, Resulting Numbers: [55, 75]
Generated Node #3: [55, 75] from Operation: 15*5=75
Current State: 20:[55, 75], Operations: ['83-78=5', '15*5=75']
Exploring Operation: 75-55=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
1,
59,
2,
5
] | 24 | [
"1+59=60",
"2*60=120",
"120/5=24"
] | Current State: 24:[1, 59, 2, 5], Operations: []
Exploring Operation: 1+59=60, Resulting Numbers: [2, 5, 60]
Generated Node #2: [2, 5, 60] from Operation: 1+59=60
Current State: 24:[2, 5, 60], Operations: ['1+59=60']
Exploring Operation: 2*60=120, Resulting Numbers: [5, 120]
Generated Node #3: [5, 120] from Operation: 2*60=120
Current State: 24:[5, 120], Operations: ['1+59=60', '2*60=120']
Exploring Operation: 120/5=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
78,
43,
4,
44
] | 83 | [
"78-43=35",
"4+44=48",
"35+48=83"
] | Current State: 83:[78, 43, 4, 44], Operations: []
Exploring Operation: 78-43=35, Resulting Numbers: [4, 44, 35]
Generated Node #2: [4, 44, 35] from Operation: 78-43=35
Current State: 83:[4, 44, 35], Operations: ['78-43=35']
Exploring Operation: 4+44=48, Resulting Numbers: [35, 48]
Generated Node #3: [35, 48] from Operation: 4+44=48
Current State: 83:[35, 48], Operations: ['78-43=35', '4+44=48']
Exploring Operation: 35+48=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
75,
56,
65,
60
] | 35 | [
"75+65=140",
"60-56=4",
"140/4=35"
] | Current State: 35:[75, 56, 65, 60], Operations: []
Exploring Operation: 75+65=140, Resulting Numbers: [56, 60, 140]
Generated Node #2: [56, 60, 140] from Operation: 75+65=140
Current State: 35:[56, 60, 140], Operations: ['75+65=140']
Exploring Operation: 60-56=4, Resulting Numbers: [140, 4]
Generated Node #3: [140, 4] from Operation: 60-56=4
Current State: 35:[140, 4], Operations: ['75+65=140', '60-56=4']
Exploring Operation: 140/4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
66,
49,
5,
37
] | 83 | [
"66+49=115",
"37-5=32",
"115-32=83"
] | Current State: 83:[66, 49, 5, 37], Operations: []
Exploring Operation: 66+49=115, Resulting Numbers: [5, 37, 115]
Generated Node #2: [5, 37, 115] from Operation: 66+49=115
Current State: 83:[5, 37, 115], Operations: ['66+49=115']
Exploring Operation: 37-5=32, Resulting Numbers: [115, 32]
Generated Node #3: [115, 32] from Operation: 37-5=32
Current State: 83:[115, 32], Operations: ['66+49=115', '37-5=32']
Exploring Operation: 115-32=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
22,
66,
17,
5
] | 56 | [
"66-22=44",
"17-5=12",
"44+12=56"
] | Current State: 56:[22, 66, 17, 5], Operations: []
Exploring Operation: 66-22=44, Resulting Numbers: [17, 5, 44]
Generated Node #2: [17, 5, 44] from Operation: 66-22=44
Current State: 56:[17, 5, 44], Operations: ['66-22=44']
Exploring Operation: 17-5=12, Resulting Numbers: [44, 12]
Generated Node #3: [44, 12] from Operation: 17-5=12
Current State: 56:[44, 12], Operations: ['66-22=44', '17-5=12']
Exploring Operation: 44+12=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
98,
18,
74,
73
] | 12 | [
"98*18=1764",
"74+73=147",
"1764/147=12"
] | Current State: 12:[98, 18, 74, 73], Operations: []
Exploring Operation: 98*18=1764, Resulting Numbers: [74, 73, 1764]
Generated Node #2: [74, 73, 1764] from Operation: 98*18=1764
Current State: 12:[74, 73, 1764], Operations: ['98*18=1764']
Exploring Operation: 74+73=147, Resulting Numbers: [1764, 147]
Generated Node #3: [1764, 147] from Operation: 74+73=147
Current State: 12:[1764, 147], Operations: ['98*18=1764', '74+73=147']
Exploring Operation: 1764/147=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
58,
55,
13,
77
] | 23 | [
"58+55=113",
"13+77=90",
"113-90=23"
] | Current State: 23:[58, 55, 13, 77], Operations: []
Exploring Operation: 58+55=113, Resulting Numbers: [13, 77, 113]
Generated Node #2: [13, 77, 113] from Operation: 58+55=113
Current State: 23:[13, 77, 113], Operations: ['58+55=113']
Exploring Operation: 13+77=90, Resulting Numbers: [113, 90]
Generated Node #3: [113, 90] from Operation: 13+77=90
Current State: 23:[113, 90], Operations: ['58+55=113', '13+77=90']
Exploring Operation: 113-90=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
57,
95,
61,
60
] | 31 | [
"57+95=152",
"61+60=121",
"152-121=31"
] | Current State: 31:[57, 95, 61, 60], Operations: []
Exploring Operation: 57+95=152, Resulting Numbers: [61, 60, 152]
Generated Node #2: [61, 60, 152] from Operation: 57+95=152
Current State: 31:[61, 60, 152], Operations: ['57+95=152']
Exploring Operation: 61+60=121, Resulting Numbers: [152, 121]
Generated Node #3: [152, 121] from Operation: 61+60=121
Current State: 31:[152, 121], Operations: ['57+95=152', '61+60=121']
Exploring Operation: 152-121=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
91,
32,
3,
26
] | 45 | [
"91+32=123",
"3*26=78",
"123-78=45"
] | Current State: 45:[91, 32, 3, 26], Operations: []
Exploring Operation: 91+32=123, Resulting Numbers: [3, 26, 123]
Generated Node #2: [3, 26, 123] from Operation: 91+32=123
Current State: 45:[3, 26, 123], Operations: ['91+32=123']
Exploring Operation: 3*26=78, Resulting Numbers: [123, 78]
Generated Node #3: [123, 78] from Operation: 3*26=78
Current State: 45:[123, 78], Operations: ['91+32=123', '3*26=78']
Exploring Operation: 123-78=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
33,
66,
15,
35
] | 53 | [
"66-33=33",
"35-15=20",
"33+20=53"
] | Current State: 53:[33, 66, 15, 35], Operations: []
Exploring Operation: 66-33=33, Resulting Numbers: [15, 35, 33]
Generated Node #2: [15, 35, 33] from Operation: 66-33=33
Current State: 53:[15, 35, 33], Operations: ['66-33=33']
Exploring Operation: 35-15=20, Resulting Numbers: [33, 20]
Generated Node #3: [33, 20] from Operation: 35-15=20
Current State: 53:[33, 20], Operations: ['66-33=33', '35-15=20']
Exploring Operation: 33+20=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
44,
71,
89,
3
] | 78 | [
"44+71=115",
"115-89=26",
"3*26=78"
] | Current State: 78:[44, 71, 89, 3], Operations: []
Exploring Operation: 44+71=115, Resulting Numbers: [89, 3, 115]
Generated Node #2: [89, 3, 115] from Operation: 44+71=115
Current State: 78:[89, 3, 115], Operations: ['44+71=115']
Exploring Operation: 115-89=26, Resulting Numbers: [3, 26]
Generated Node #3: [3, 26] from Operation: 115-89=26
Current State: 78:[3, 26], Operations: ['44+71=115', '115-89=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
76,
46,
1,
92
] | 79 | [
"76+1=77",
"92/46=2",
"77+2=79"
] | Current State: 79:[76, 46, 1, 92], Operations: []
Exploring Operation: 76+1=77, Resulting Numbers: [46, 92, 77]
Generated Node #2: [46, 92, 77] from Operation: 76+1=77
Current State: 79:[46, 92, 77], Operations: ['76+1=77']
Exploring Operation: 92/46=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 92/46=2
Current State: 79:[77, 2], Operations: ['76+1=77', '92/46=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
53,
5,
12,
26
] | 20 | [
"53+5=58",
"12+26=38",
"58-38=20"
] | Current State: 20:[53, 5, 12, 26], Operations: []
Exploring Operation: 53+5=58, Resulting Numbers: [12, 26, 58]
Generated Node #2: [12, 26, 58] from Operation: 53+5=58
Current State: 20:[12, 26, 58], Operations: ['53+5=58']
Exploring Operation: 12+26=38, Resulting Numbers: [58, 38]
Generated Node #3: [58, 38] from Operation: 12+26=38
Current State: 20:[58, 38], Operations: ['53+5=58', '12+26=38']
Exploring Operation: 58-38=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
9,
36,
6,
13
] | 23 | [
"36/9=4",
"6+13=19",
"4+19=23"
] | Current State: 23:[9, 36, 6, 13], Operations: []
Exploring Operation: 36/9=4, Resulting Numbers: [6, 13, 4]
Generated Node #2: [6, 13, 4] from Operation: 36/9=4
Current State: 23:[6, 13, 4], Operations: ['36/9=4']
Exploring Operation: 6+13=19, Resulting Numbers: [4, 19]
Generated Node #3: [4, 19] from Operation: 6+13=19
Current State: 23:[4, 19], Operations: ['36/9=4', '6+13=19']
Exploring Operation: 4+19=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
88,
78,
18,
67
] | 59 | [
"88-78=10",
"67-18=49",
"10+49=59"
] | Current State: 59:[88, 78, 18, 67], Operations: []
Exploring Operation: 88-78=10, Resulting Numbers: [18, 67, 10]
Generated Node #2: [18, 67, 10] from Operation: 88-78=10
Current State: 59:[18, 67, 10], Operations: ['88-78=10']
Exploring Operation: 67-18=49, Resulting Numbers: [10, 49]
Generated Node #3: [10, 49] from Operation: 67-18=49
Current State: 59:[10, 49], Operations: ['88-78=10', '67-18=49']
Exploring Operation: 10+49=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
5,
70,
59,
30
] | 51 | [
"70-30=40",
"40/5=8",
"59-8=51"
] | Current State: 51:[5, 70, 59, 30], Operations: []
Exploring Operation: 70-30=40, Resulting Numbers: [5, 59, 40]
Generated Node #2: [5, 59, 40] from Operation: 70-30=40
Current State: 51:[5, 59, 40], Operations: ['70-30=40']
Exploring Operation: 40/5=8, Resulting Numbers: [59, 8]
Generated Node #3: [59, 8] from Operation: 40/5=8
Current State: 51:[59, 8], Operations: ['70-30=40', '40/5=8']
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
65,
8,
49,
67
] | 65 | [
"65-49=16",
"16/8=2",
"67-2=65"
] | Current State: 65:[65, 8, 49, 67], Operations: []
Exploring Operation: 65-49=16, Resulting Numbers: [8, 67, 16]
Generated Node #2: [8, 67, 16] from Operation: 65-49=16
Current State: 65:[8, 67, 16], Operations: ['65-49=16']
Exploring Operation: 16/8=2, Resulting Numbers: [67, 2]
Generated Node #3: [67, 2] from Operation: 16/8=2
Current State: 65:[67, 2], Operations: ['65-49=16', '16/8=2']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
57,
20,
2,
91
] | 74 | [
"91-57=34",
"20*2=40",
"34+40=74"
] | Current State: 74:[57, 20, 2, 91], Operations: []
Exploring Operation: 91-57=34, Resulting Numbers: [20, 2, 34]
Generated Node #2: [20, 2, 34] from Operation: 91-57=34
Current State: 74:[20, 2, 34], Operations: ['91-57=34']
Exploring Operation: 20*2=40, Resulting Numbers: [34, 40]
Generated Node #3: [34, 40] from Operation: 20*2=40
Current State: 74:[34, 40], Operations: ['91-57=34', '20*2=40']
Exploring Operation: 34+40=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
81,
85,
98,
4
] | 66 | [
"81+85=166",
"98+166=264",
"264/4=66"
] | Current State: 66:[81, 85, 98, 4], Operations: []
Exploring Operation: 81+85=166, Resulting Numbers: [98, 4, 166]
Generated Node #2: [98, 4, 166] from Operation: 81+85=166
Current State: 66:[98, 4, 166], Operations: ['81+85=166']
Exploring Operation: 98+166=264, Resulting Numbers: [4, 264]
Generated Node #3: [4, 264] from Operation: 98+166=264
Current State: 66:[4, 264], Operations: ['81+85=166', '98+166=264']
Exploring Operation: 264/4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
1,
13,
58,
56
] | 39 | [
"1+58=59",
"59-56=3",
"13*3=39"
] | Current State: 39:[1, 13, 58, 56], Operations: []
Exploring Operation: 1+58=59, Resulting Numbers: [13, 56, 59]
Generated Node #2: [13, 56, 59] from Operation: 1+58=59
Current State: 39:[13, 56, 59], Operations: ['1+58=59']
Exploring Operation: 59-56=3, Resulting Numbers: [13, 3]
Generated Node #3: [13, 3] from Operation: 59-56=3
Current State: 39:[13, 3], Operations: ['1+58=59', '59-56=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
19,
39,
47,
70
] | 81 | [
"19+39=58",
"70-47=23",
"58+23=81"
] | Current State: 81:[19, 39, 47, 70], Operations: []
Exploring Operation: 19+39=58, Resulting Numbers: [47, 70, 58]
Generated Node #2: [47, 70, 58] from Operation: 19+39=58
Current State: 81:[47, 70, 58], Operations: ['19+39=58']
Exploring Operation: 70-47=23, Resulting Numbers: [58, 23]
Generated Node #3: [58, 23] from Operation: 70-47=23
Current State: 81:[58, 23], Operations: ['19+39=58', '70-47=23']
Exploring Operation: 58+23=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
90,
15,
76,
71
] | 33 | [
"76-71=5",
"90/5=18",
"15+18=33"
] | Current State: 33:[90, 15, 76, 71], Operations: []
Exploring Operation: 76-71=5, Resulting Numbers: [90, 15, 5]
Generated Node #2: [90, 15, 5] from Operation: 76-71=5
Current State: 33:[90, 15, 5], Operations: ['76-71=5']
Exploring Operation: 90/5=18, Resulting Numbers: [15, 18]
Generated Node #3: [15, 18] from Operation: 90/5=18
Current State: 33:[15, 18], Operations: ['76-71=5', '90/5=18']
Exploring Operation: 15+18=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
88,
8,
48,
97
] | 92 | [
"88-48=40",
"40/8=5",
"97-5=92"
] | Current State: 92:[88, 8, 48, 97], Operations: []
Exploring Operation: 88-48=40, Resulting Numbers: [8, 97, 40]
Generated Node #2: [8, 97, 40] from Operation: 88-48=40
Current State: 92:[8, 97, 40], Operations: ['88-48=40']
Exploring Operation: 40/8=5, Resulting Numbers: [97, 5]
Generated Node #3: [97, 5] from Operation: 40/8=5
Current State: 92:[97, 5], Operations: ['88-48=40', '40/8=5']
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
74,
88,
62,
98
] | 55 | [
"88-74=14",
"98/14=7",
"62-7=55"
] | Current State: 55:[74, 88, 62, 98], Operations: []
Exploring Operation: 88-74=14, Resulting Numbers: [62, 98, 14]
Generated Node #2: [62, 98, 14] from Operation: 88-74=14
Current State: 55:[62, 98, 14], Operations: ['88-74=14']
Exploring Operation: 98/14=7, Resulting Numbers: [62, 7]
Generated Node #3: [62, 7] from Operation: 98/14=7
Current State: 55:[62, 7], Operations: ['88-74=14', '98/14=7']
Exploring Operation: 62-7=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
47,
71,
46,
48
] | 23 | [
"71-47=24",
"46*24=1104",
"1104/48=23"
] | Current State: 23:[47, 71, 46, 48], Operations: []
Exploring Operation: 71-47=24, Resulting Numbers: [46, 48, 24]
Generated Node #2: [46, 48, 24] from Operation: 71-47=24
Current State: 23:[46, 48, 24], Operations: ['71-47=24']
Exploring Operation: 46*24=1104, Resulting Numbers: [48, 1104]
Generated Node #3: [48, 1104] from Operation: 46*24=1104
Current State: 23:[48, 1104], Operations: ['71-47=24', '46*24=1104']
Exploring Operation: 1104/48=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
38,
65,
11,
59
] | 33 | [
"38+65=103",
"11+59=70",
"103-70=33"
] | Current State: 33:[38, 65, 11, 59], Operations: []
Exploring Operation: 38+65=103, Resulting Numbers: [11, 59, 103]
Generated Node #2: [11, 59, 103] from Operation: 38+65=103
Current State: 33:[11, 59, 103], Operations: ['38+65=103']
Exploring Operation: 11+59=70, Resulting Numbers: [103, 70]
Generated Node #3: [103, 70] from Operation: 11+59=70
Current State: 33:[103, 70], Operations: ['38+65=103', '11+59=70']
Exploring Operation: 103-70=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
98,
51,
27,
92
] | 30 | [
"98+51=149",
"27+92=119",
"149-119=30"
] | Current State: 30:[98, 51, 27, 92], Operations: []
Exploring Operation: 98+51=149, Resulting Numbers: [27, 92, 149]
Generated Node #2: [27, 92, 149] from Operation: 98+51=149
Current State: 30:[27, 92, 149], Operations: ['98+51=149']
Exploring Operation: 27+92=119, Resulting Numbers: [149, 119]
Generated Node #3: [149, 119] from Operation: 27+92=119
Current State: 30:[149, 119], Operations: ['98+51=149', '27+92=119']
Exploring Operation: 149-119=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
35,
60,
60,
31
] | 54 | [
"60-35=25",
"60-31=29",
"25+29=54"
] | Current State: 54:[35, 60, 60, 31], Operations: []
Exploring Operation: 60-35=25, Resulting Numbers: [31, 25]
Generated Node #2: [31, 25] from Operation: 60-35=25
Current State: 54:[31, 25], Operations: ['60-35=25']
Exploring Operation: 60-31=29, Resulting Numbers: [25, 29]
Generated Node #3: [25, 29] from Operation: 60-31=29
Current State: 54:[25, 29], Operations: ['60-35=25', '60-31=29']
Exploring Operation: 25+29=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
45,
81,
99,
58
] | 85 | [
"45+81=126",
"99-58=41",
"126-41=85"
] | Current State: 85:[45, 81, 99, 58], Operations: []
Exploring Operation: 45+81=126, Resulting Numbers: [99, 58, 126]
Generated Node #2: [99, 58, 126] from Operation: 45+81=126
Current State: 85:[99, 58, 126], Operations: ['45+81=126']
Exploring Operation: 99-58=41, Resulting Numbers: [126, 41]
Generated Node #3: [126, 41] from Operation: 99-58=41
Current State: 85:[126, 41], Operations: ['45+81=126', '99-58=41']
Exploring Operation: 126-41=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
86,
29,
17,
10
] | 12 | [
"29*10=290",
"290-86=204",
"204/17=12"
] | Current State: 12:[86, 29, 17, 10], Operations: []
Exploring Operation: 29*10=290, Resulting Numbers: [86, 17, 290]
Generated Node #2: [86, 17, 290] from Operation: 29*10=290
Current State: 12:[86, 17, 290], Operations: ['29*10=290']
Exploring Operation: 290-86=204, Resulting Numbers: [17, 204]
Generated Node #3: [17, 204] from Operation: 290-86=204
Current State: 12:[17, 204], Operations: ['29*10=290', '290-86=204']
Exploring Operation: 204/17=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
37,
40,
38,
47
] | 88 | [
"40-37=3",
"38+47=85",
"3+85=88"
] | Current State: 88:[37, 40, 38, 47], Operations: []
Exploring Operation: 40-37=3, Resulting Numbers: [38, 47, 3]
Generated Node #2: [38, 47, 3] from Operation: 40-37=3
Current State: 88:[38, 47, 3], Operations: ['40-37=3']
Exploring Operation: 38+47=85, Resulting Numbers: [3, 85]
Generated Node #3: [3, 85] from Operation: 38+47=85
Current State: 88:[3, 85], Operations: ['40-37=3', '38+47=85']
Exploring Operation: 3+85=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
27,
87,
79,
54
] | 73 | [
"87-27=60",
"79+54=133",
"133-60=73"
] | Current State: 73:[27, 87, 79, 54], Operations: []
Exploring Operation: 87-27=60, Resulting Numbers: [79, 54, 60]
Generated Node #2: [79, 54, 60] from Operation: 87-27=60
Current State: 73:[79, 54, 60], Operations: ['87-27=60']
Exploring Operation: 79+54=133, Resulting Numbers: [60, 133]
Generated Node #3: [60, 133] from Operation: 79+54=133
Current State: 73:[60, 133], Operations: ['87-27=60', '79+54=133']
Exploring Operation: 133-60=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
72,
63,
33,
81
] | 21 | [
"72+63=135",
"33+81=114",
"135-114=21"
] | Current State: 21:[72, 63, 33, 81], Operations: []
Exploring Operation: 72+63=135, Resulting Numbers: [33, 81, 135]
Generated Node #2: [33, 81, 135] from Operation: 72+63=135
Current State: 21:[33, 81, 135], Operations: ['72+63=135']
Exploring Operation: 33+81=114, Resulting Numbers: [135, 114]
Generated Node #3: [135, 114] from Operation: 33+81=114
Current State: 21:[135, 114], Operations: ['72+63=135', '33+81=114']
Exploring Operation: 135-114=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
4,
18,
17,
44
] | 49 | [
"4+18=22",
"44-17=27",
"22+27=49"
] | Current State: 49:[4, 18, 17, 44], Operations: []
Exploring Operation: 4+18=22, Resulting Numbers: [17, 44, 22]
Generated Node #2: [17, 44, 22] from Operation: 4+18=22
Current State: 49:[17, 44, 22], Operations: ['4+18=22']
Exploring Operation: 44-17=27, Resulting Numbers: [22, 27]
Generated Node #3: [22, 27] from Operation: 44-17=27
Current State: 49:[22, 27], Operations: ['4+18=22', '44-17=27']
Exploring Operation: 22+27=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
41,
7,
7,
30
] | 11 | [
"41+7=48",
"7+30=37",
"48-37=11"
] | Current State: 11:[41, 7, 7, 30], Operations: []
Exploring Operation: 41+7=48, Resulting Numbers: [30, 48]
Generated Node #2: [30, 48] from Operation: 41+7=48
Current State: 11:[30, 48], Operations: ['41+7=48']
Exploring Operation: 7+30=37, Resulting Numbers: [48, 37]
Generated Node #3: [48, 37] from Operation: 7+30=37
Current State: 11:[48, 37], Operations: ['41+7=48', '7+30=37']
Exploring Operation: 48-37=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
49,
78,
84,
4
] | 73 | [
"84-78=6",
"4*6=24",
"49+24=73"
] | Current State: 73:[49, 78, 84, 4], Operations: []
Exploring Operation: 84-78=6, Resulting Numbers: [49, 4, 6]
Generated Node #2: [49, 4, 6] from Operation: 84-78=6
Current State: 73:[49, 4, 6], Operations: ['84-78=6']
Exploring Operation: 4*6=24, Resulting Numbers: [49, 24]
Generated Node #3: [49, 24] from Operation: 4*6=24
Current State: 73:[49, 24], Operations: ['84-78=6', '4*6=24']
Exploring Operation: 49+24=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
49,
98,
31,
78
] | 49 | [
"98/49=2",
"78-31=47",
"2+47=49"
] | Current State: 49:[49, 98, 31, 78], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [31, 78, 2]
Generated Node #2: [31, 78, 2] from Operation: 98/49=2
Current State: 49:[31, 78, 2], Operations: ['98/49=2']
Exploring Operation: 78-31=47, Resulting Numbers: [2, 47]
Generated Node #3: [2, 47] from Operation: 78-31=47
Current State: 49:[2, 47], Operations: ['98/49=2', '78-31=47']
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
53,
73,
36,
68
] | 84 | [
"73-53=20",
"36+68=104",
"104-20=84"
] | Current State: 84:[53, 73, 36, 68], Operations: []
Exploring Operation: 73-53=20, Resulting Numbers: [36, 68, 20]
Generated Node #2: [36, 68, 20] from Operation: 73-53=20
Current State: 84:[36, 68, 20], Operations: ['73-53=20']
Exploring Operation: 36+68=104, Resulting Numbers: [20, 104]
Generated Node #3: [20, 104] from Operation: 36+68=104
Current State: 84:[20, 104], Operations: ['73-53=20', '36+68=104']
Exploring Operation: 104-20=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
31,
50,
6,
54
] | 27 | [
"31-6=25",
"50/25=2",
"54/2=27"
] | Current State: 27:[31, 50, 6, 54], Operations: []
Exploring Operation: 31-6=25, Resulting Numbers: [50, 54, 25]
Generated Node #2: [50, 54, 25] from Operation: 31-6=25
Current State: 27:[50, 54, 25], Operations: ['31-6=25']
Exploring Operation: 50/25=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 50/25=2
Current State: 27:[54, 2], Operations: ['31-6=25', '50/25=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
65,
54,
32,
37
] | 16 | [
"65-54=11",
"37-32=5",
"11+5=16"
] | Current State: 16:[65, 54, 32, 37], Operations: []
Exploring Operation: 65-54=11, Resulting Numbers: [32, 37, 11]
Generated Node #2: [32, 37, 11] from Operation: 65-54=11
Current State: 16:[32, 37, 11], Operations: ['65-54=11']
Exploring Operation: 37-32=5, Resulting Numbers: [11, 5]
Generated Node #3: [11, 5] from Operation: 37-32=5
Current State: 16:[11, 5], Operations: ['65-54=11', '37-32=5']
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
30,
47,
56,
13
] | 34 | [
"30+47=77",
"56-13=43",
"77-43=34"
] | Current State: 34:[30, 47, 56, 13], Operations: []
Exploring Operation: 30+47=77, Resulting Numbers: [56, 13, 77]
Generated Node #2: [56, 13, 77] from Operation: 30+47=77
Current State: 34:[56, 13, 77], Operations: ['30+47=77']
Exploring Operation: 56-13=43, Resulting Numbers: [77, 43]
Generated Node #3: [77, 43] from Operation: 56-13=43
Current State: 34:[77, 43], Operations: ['30+47=77', '56-13=43']
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
12,
14,
94,
98
] | 89 | [
"94-12=82",
"98/14=7",
"82+7=89"
] | Current State: 89:[12, 14, 94, 98], Operations: []
Exploring Operation: 94-12=82, Resulting Numbers: [14, 98, 82]
Generated Node #2: [14, 98, 82] from Operation: 94-12=82
Current State: 89:[14, 98, 82], Operations: ['94-12=82']
Exploring Operation: 98/14=7, Resulting Numbers: [82, 7]
Generated Node #3: [82, 7] from Operation: 98/14=7
Current State: 89:[82, 7], Operations: ['94-12=82', '98/14=7']
Exploring Operation: 82+7=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
84,
80,
30,
94
] | 60 | [
"84-80=4",
"94-30=64",
"64-4=60"
] | Current State: 60:[84, 80, 30, 94], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [30, 94, 4]
Generated Node #2: [30, 94, 4] from Operation: 84-80=4
Current State: 60:[30, 94, 4], Operations: ['84-80=4']
Exploring Operation: 94-30=64, Resulting Numbers: [4, 64]
Generated Node #3: [4, 64] from Operation: 94-30=64
Current State: 60:[4, 64], Operations: ['84-80=4', '94-30=64']
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
14,
15,
89,
42
] | 84 | [
"14*15=210",
"210/42=5",
"89-5=84"
] | Current State: 84:[14, 15, 89, 42], Operations: []
Exploring Operation: 14*15=210, Resulting Numbers: [89, 42, 210]
Generated Node #2: [89, 42, 210] from Operation: 14*15=210
Current State: 84:[89, 42, 210], Operations: ['14*15=210']
Exploring Operation: 210/42=5, Resulting Numbers: [89, 5]
Generated Node #3: [89, 5] from Operation: 210/42=5
Current State: 84:[89, 5], Operations: ['14*15=210', '210/42=5']
Exploring Operation: 89-5=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
5,
7,
10,
33
] | 90 | [
"5*10=50",
"7+33=40",
"50+40=90"
] | Current State: 90:[5, 7, 10, 33], Operations: []
Exploring Operation: 5*10=50, Resulting Numbers: [7, 33, 50]
Generated Node #2: [7, 33, 50] from Operation: 5*10=50
Current State: 90:[7, 33, 50], Operations: ['5*10=50']
Exploring Operation: 7+33=40, Resulting Numbers: [50, 40]
Generated Node #3: [50, 40] from Operation: 7+33=40
Current State: 90:[50, 40], Operations: ['5*10=50', '7+33=40']
Exploring Operation: 50+40=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
55,
42,
50,
32
] | 50 | [
"55-50=5",
"42-32=10",
"5*10=50"
] | Current State: 50:[55, 42, 50, 32], Operations: []
Exploring Operation: 55-50=5, Resulting Numbers: [42, 32, 5]
Generated Node #2: [42, 32, 5] from Operation: 55-50=5
Current State: 50:[42, 32, 5], Operations: ['55-50=5']
Exploring Operation: 42-32=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 42-32=10
Current State: 50:[5, 10], Operations: ['55-50=5', '42-32=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
41,
88,
5,
2
] | 59 | [
"88+2=90",
"90/5=18",
"41+18=59"
] | Current State: 59:[41, 88, 5, 2], Operations: []
Exploring Operation: 88+2=90, Resulting Numbers: [41, 5, 90]
Generated Node #2: [41, 5, 90] from Operation: 88+2=90
Current State: 59:[41, 5, 90], Operations: ['88+2=90']
Exploring Operation: 90/5=18, Resulting Numbers: [41, 18]
Generated Node #3: [41, 18] from Operation: 90/5=18
Current State: 59:[41, 18], Operations: ['88+2=90', '90/5=18']
Exploring Operation: 41+18=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
81,
28,
85,
82
] | 55 | [
"85-82=3",
"81/3=27",
"28+27=55"
] | Current State: 55:[81, 28, 85, 82], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [81, 28, 3]
Generated Node #2: [81, 28, 3] from Operation: 85-82=3
Current State: 55:[81, 28, 3], Operations: ['85-82=3']
Exploring Operation: 81/3=27, Resulting Numbers: [28, 27]
Generated Node #3: [28, 27] from Operation: 81/3=27
Current State: 55:[28, 27], Operations: ['85-82=3', '81/3=27']
Exploring Operation: 28+27=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
85,
94,
51,
2
] | 69 | [
"94-85=9",
"2*9=18",
"51+18=69"
] | Current State: 69:[85, 94, 51, 2], Operations: []
Exploring Operation: 94-85=9, Resulting Numbers: [51, 2, 9]
Generated Node #2: [51, 2, 9] from Operation: 94-85=9
Current State: 69:[51, 2, 9], Operations: ['94-85=9']
Exploring Operation: 2*9=18, Resulting Numbers: [51, 18]
Generated Node #3: [51, 18] from Operation: 2*9=18
Current State: 69:[51, 18], Operations: ['94-85=9', '2*9=18']
Exploring Operation: 51+18=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
92,
89,
28,
18
] | 82 | [
"92-89=3",
"18*3=54",
"28+54=82"
] | Current State: 82:[92, 89, 28, 18], Operations: []
Exploring Operation: 92-89=3, Resulting Numbers: [28, 18, 3]
Generated Node #2: [28, 18, 3] from Operation: 92-89=3
Current State: 82:[28, 18, 3], Operations: ['92-89=3']
Exploring Operation: 18*3=54, Resulting Numbers: [28, 54]
Generated Node #3: [28, 54] from Operation: 18*3=54
Current State: 82:[28, 54], Operations: ['92-89=3', '18*3=54']
Exploring Operation: 28+54=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
8,
18,
75,
46
] | 95 | [
"8+18=26",
"75+46=121",
"121-26=95"
] | Current State: 95:[8, 18, 75, 46], Operations: []
Exploring Operation: 8+18=26, Resulting Numbers: [75, 46, 26]
Generated Node #2: [75, 46, 26] from Operation: 8+18=26
Current State: 95:[75, 46, 26], Operations: ['8+18=26']
Exploring Operation: 75+46=121, Resulting Numbers: [26, 121]
Generated Node #3: [26, 121] from Operation: 75+46=121
Current State: 95:[26, 121], Operations: ['8+18=26', '75+46=121']
Exploring Operation: 121-26=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
95,
5,
46,
93
] | 87 | [
"95-93=2",
"46*2=92",
"92-5=87"
] | Current State: 87:[95, 5, 46, 93], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [5, 46, 2]
Generated Node #2: [5, 46, 2] from Operation: 95-93=2
Current State: 87:[5, 46, 2], Operations: ['95-93=2']
Exploring Operation: 46*2=92, Resulting Numbers: [5, 92]
Generated Node #3: [5, 92] from Operation: 46*2=92
Current State: 87:[5, 92], Operations: ['95-93=2', '46*2=92']
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
53,
9,
37,
84
] | 56 | [
"37-9=28",
"84/28=3",
"53+3=56"
] | Current State: 56:[53, 9, 37, 84], Operations: []
Exploring Operation: 37-9=28, Resulting Numbers: [53, 84, 28]
Generated Node #2: [53, 84, 28] from Operation: 37-9=28
Current State: 56:[53, 84, 28], Operations: ['37-9=28']
Exploring Operation: 84/28=3, Resulting Numbers: [53, 3]
Generated Node #3: [53, 3] from Operation: 84/28=3
Current State: 56:[53, 3], Operations: ['37-9=28', '84/28=3']
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
58,
38,
69,
34
] | 44 | [
"69-58=11",
"38-34=4",
"11*4=44"
] | Current State: 44:[58, 38, 69, 34], Operations: []
Exploring Operation: 69-58=11, Resulting Numbers: [38, 34, 11]
Generated Node #2: [38, 34, 11] from Operation: 69-58=11
Current State: 44:[38, 34, 11], Operations: ['69-58=11']
Exploring Operation: 38-34=4, Resulting Numbers: [11, 4]
Generated Node #3: [11, 4] from Operation: 38-34=4
Current State: 44:[11, 4], Operations: ['69-58=11', '38-34=4']
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
65,
47,
60,
89
] | 47 | [
"65-47=18",
"89-60=29",
"18+29=47"
] | Current State: 47:[65, 47, 60, 89], Operations: []
Exploring Operation: 65-47=18, Resulting Numbers: [60, 89, 18]
Generated Node #2: [60, 89, 18] from Operation: 65-47=18
Current State: 47:[60, 89, 18], Operations: ['65-47=18']
Exploring Operation: 89-60=29, Resulting Numbers: [18, 29]
Generated Node #3: [18, 29] from Operation: 89-60=29
Current State: 47:[18, 29], Operations: ['65-47=18', '89-60=29']
Exploring Operation: 18+29=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
21,
66,
37,
82
] | 74 | [
"66-21=45",
"37+82=119",
"119-45=74"
] | Current State: 74:[21, 66, 37, 82], Operations: []
Exploring Operation: 66-21=45, Resulting Numbers: [37, 82, 45]
Generated Node #2: [37, 82, 45] from Operation: 66-21=45
Current State: 74:[37, 82, 45], Operations: ['66-21=45']
Exploring Operation: 37+82=119, Resulting Numbers: [45, 119]
Generated Node #3: [45, 119] from Operation: 37+82=119
Current State: 74:[45, 119], Operations: ['66-21=45', '37+82=119']
Exploring Operation: 119-45=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
73,
65,
13,
39
] | 29 | [
"73-39=34",
"65/13=5",
"34-5=29"
] | Current State: 29:[73, 65, 13, 39], Operations: []
Exploring Operation: 73-39=34, Resulting Numbers: [65, 13, 34]
Generated Node #2: [65, 13, 34] from Operation: 73-39=34
Current State: 29:[65, 13, 34], Operations: ['73-39=34']
Exploring Operation: 65/13=5, Resulting Numbers: [34, 5]
Generated Node #3: [34, 5] from Operation: 65/13=5
Current State: 29:[34, 5], Operations: ['73-39=34', '65/13=5']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
2,
76,
34,
59
] | 80 | [
"76-34=42",
"42/2=21",
"59+21=80"
] | Current State: 80:[2, 76, 34, 59], Operations: []
Exploring Operation: 76-34=42, Resulting Numbers: [2, 59, 42]
Generated Node #2: [2, 59, 42] from Operation: 76-34=42
Current State: 80:[2, 59, 42], Operations: ['76-34=42']
Exploring Operation: 42/2=21, Resulting Numbers: [59, 21]
Generated Node #3: [59, 21] from Operation: 42/2=21
Current State: 80:[59, 21], Operations: ['76-34=42', '42/2=21']
Exploring Operation: 59+21=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
24,
46,
63,
65
] | 58 | [
"24+46=70",
"63+65=128",
"128-70=58"
] | Current State: 58:[24, 46, 63, 65], Operations: []
Exploring Operation: 24+46=70, Resulting Numbers: [63, 65, 70]
Generated Node #2: [63, 65, 70] from Operation: 24+46=70
Current State: 58:[63, 65, 70], Operations: ['24+46=70']
Exploring Operation: 63+65=128, Resulting Numbers: [70, 128]
Generated Node #3: [70, 128] from Operation: 63+65=128
Current State: 58:[70, 128], Operations: ['24+46=70', '63+65=128']
Exploring Operation: 128-70=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
84,
39,
70,
70
] | 84 | [
"70-70=0",
"39*0=0",
"84+0=84"
] | Current State: 84:[84, 39, 70, 70], Operations: []
Exploring Operation: 70-70=0, Resulting Numbers: [84, 39, 0]
Generated Node #2: [84, 39, 0] from Operation: 70-70=0
Current State: 84:[84, 39, 0], Operations: ['70-70=0']
Exploring Operation: 39*0=0, Resulting Numbers: [84, 0]
Generated Node #3: [84, 0] from Operation: 39*0=0
Current State: 84:[84, 0], Operations: ['70-70=0', '39*0=0']
Exploring Operation: 84+0=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
10,
34,
5,
90
] | 25 | [
"90-5=85",
"10*85=850",
"850/34=25"
] | Current State: 25:[10, 34, 5, 90], Operations: []
Exploring Operation: 90-5=85, Resulting Numbers: [10, 34, 85]
Generated Node #2: [10, 34, 85] from Operation: 90-5=85
Current State: 25:[10, 34, 85], Operations: ['90-5=85']
Exploring Operation: 10*85=850, Resulting Numbers: [34, 850]
Generated Node #3: [34, 850] from Operation: 10*85=850
Current State: 25:[34, 850], Operations: ['90-5=85', '10*85=850']
Exploring Operation: 850/34=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
1,
79,
66,
6
] | 89 | [
"79-1=78",
"66/6=11",
"78+11=89"
] | Current State: 89:[1, 79, 66, 6], Operations: []
Exploring Operation: 79-1=78, Resulting Numbers: [66, 6, 78]
Generated Node #2: [66, 6, 78] from Operation: 79-1=78
Current State: 89:[66, 6, 78], Operations: ['79-1=78']
Exploring Operation: 66/6=11, Resulting Numbers: [78, 11]
Generated Node #3: [78, 11] from Operation: 66/6=11
Current State: 89:[78, 11], Operations: ['79-1=78', '66/6=11']
Exploring Operation: 78+11=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
81,
88,
40,
41
] | 74 | [
"88-81=7",
"40+41=81",
"81-7=74"
] | Current State: 74:[81, 88, 40, 41], Operations: []
Exploring Operation: 88-81=7, Resulting Numbers: [40, 41, 7]
Generated Node #2: [40, 41, 7] from Operation: 88-81=7
Current State: 74:[40, 41, 7], Operations: ['88-81=7']
Exploring Operation: 40+41=81, Resulting Numbers: [7, 81]
Generated Node #3: [7, 81] from Operation: 40+41=81
Current State: 74:[7, 81], Operations: ['88-81=7', '40+41=81']
Exploring Operation: 81-7=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
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