nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
19,
44,
2,
22
] | 72 | [
"44-19=25",
"2*25=50",
"22+50=72"
] | Current State: 72:[19, 44, 2, 22], Operations: []
Exploring Operation: 44-19=25, Resulting Numbers: [2, 22, 25]
Generated Node #2: [2, 22, 25] from Operation: 44-19=25
Current State: 72:[2, 22, 25], Operations: ['44-19=25']
Exploring Operation: 2*25=50, Resulting Numbers: [22, 50]
Generated Node #3: [22, 50] from Operation: 2*25=50
Current State: 72:[22, 50], Operations: ['44-19=25', '2*25=50']
Exploring Operation: 22+50=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
45,
90,
92,
28
] | 31 | [
"92-90=2",
"28/2=14",
"45-14=31"
] | Current State: 31:[45, 90, 92, 28], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [45, 28, 2]
Generated Node #2: [45, 28, 2] from Operation: 92-90=2
Current State: 31:[45, 28, 2], Operations: ['92-90=2']
Exploring Operation: 28/2=14, Resulting Numbers: [45, 14]
Generated Node #3: [45, 14] from Operation: 28/2=14
Current State: 31:[45, 14], Operations: ['92-90=2', '28/2=14']
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
61,
51,
1,
79
] | 89 | [
"61-51=10",
"1*79=79",
"10+79=89"
] | Current State: 89:[61, 51, 1, 79], Operations: []
Exploring Operation: 61-51=10, Resulting Numbers: [1, 79, 10]
Generated Node #2: [1, 79, 10] from Operation: 61-51=10
Current State: 89:[1, 79, 10], Operations: ['61-51=10']
Exploring Operation: 1*79=79, Resulting Numbers: [10, 79]
Generated Node #3: [10, 79] from Operation: 1*79=79
Current State: 89:[10, 79], Operations: ['61-51=10', '1*79=79']
Exploring Operation: 10+79=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
9,
13,
5,
57
] | 40 | [
"9+13=22",
"5+57=62",
"62-22=40"
] | Current State: 40:[9, 13, 5, 57], Operations: []
Exploring Operation: 9+13=22, Resulting Numbers: [5, 57, 22]
Generated Node #2: [5, 57, 22] from Operation: 9+13=22
Current State: 40:[5, 57, 22], Operations: ['9+13=22']
Exploring Operation: 5+57=62, Resulting Numbers: [22, 62]
Generated Node #3: [22, 62] from Operation: 5+57=62
Current State: 40:[22, 62], Operations: ['9+13=22', '5+57=62']
Exploring Operation: 62-22=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
36,
85,
34,
32
] | 55 | [
"36+85=121",
"34+32=66",
"121-66=55"
] | Current State: 55:[36, 85, 34, 32], Operations: []
Exploring Operation: 36+85=121, Resulting Numbers: [34, 32, 121]
Generated Node #2: [34, 32, 121] from Operation: 36+85=121
Current State: 55:[34, 32, 121], Operations: ['36+85=121']
Exploring Operation: 34+32=66, Resulting Numbers: [121, 66]
Generated Node #3: [121, 66] from Operation: 34+32=66
Current State: 55:[121, 66], Operations: ['36+85=121', '34+32=66']
Exploring Operation: 121-66=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
30,
5,
8,
41
] | 55 | [
"30/5=6",
"8+41=49",
"6+49=55"
] | Current State: 55:[30, 5, 8, 41], Operations: []
Exploring Operation: 30/5=6, Resulting Numbers: [8, 41, 6]
Generated Node #2: [8, 41, 6] from Operation: 30/5=6
Current State: 55:[8, 41, 6], Operations: ['30/5=6']
Exploring Operation: 8+41=49, Resulting Numbers: [6, 49]
Generated Node #3: [6, 49] from Operation: 8+41=49
Current State: 55:[6, 49], Operations: ['30/5=6', '8+41=49']
Exploring Operation: 6+49=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
34,
69,
97,
11
] | 66 | [
"34+69=103",
"103-97=6",
"11*6=66"
] | Current State: 66:[34, 69, 97, 11], Operations: []
Exploring Operation: 34+69=103, Resulting Numbers: [97, 11, 103]
Generated Node #2: [97, 11, 103] from Operation: 34+69=103
Current State: 66:[97, 11, 103], Operations: ['34+69=103']
Exploring Operation: 103-97=6, Resulting Numbers: [11, 6]
Generated Node #3: [11, 6] from Operation: 103-97=6
Current State: 66:[11, 6], Operations: ['34+69=103', '103-97=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
37,
30,
12,
6
] | 32 | [
"12-6=6",
"30/6=5",
"37-5=32"
] | Current State: 32:[37, 30, 12, 6], Operations: []
Exploring Operation: 12-6=6, Resulting Numbers: [37, 30, 6]
Generated Node #2: [37, 30, 6] from Operation: 12-6=6
Current State: 32:[37, 30, 6], Operations: ['12-6=6']
Exploring Operation: 30/6=5, Resulting Numbers: [37, 5]
Generated Node #3: [37, 5] from Operation: 30/6=5
Current State: 32:[37, 5], Operations: ['12-6=6', '30/6=5']
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
63,
70,
86,
49
] | 91 | [
"63-49=14",
"70/14=5",
"86+5=91"
] | Current State: 91:[63, 70, 86, 49], Operations: []
Exploring Operation: 63-49=14, Resulting Numbers: [70, 86, 14]
Generated Node #2: [70, 86, 14] from Operation: 63-49=14
Current State: 91:[70, 86, 14], Operations: ['63-49=14']
Exploring Operation: 70/14=5, Resulting Numbers: [86, 5]
Generated Node #3: [86, 5] from Operation: 70/14=5
Current State: 91:[86, 5], Operations: ['63-49=14', '70/14=5']
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
55,
21,
99,
61
] | 84 | [
"55+21=76",
"99+61=160",
"160-76=84"
] | Current State: 84:[55, 21, 99, 61], Operations: []
Exploring Operation: 55+21=76, Resulting Numbers: [99, 61, 76]
Generated Node #2: [99, 61, 76] from Operation: 55+21=76
Current State: 84:[99, 61, 76], Operations: ['55+21=76']
Exploring Operation: 99+61=160, Resulting Numbers: [76, 160]
Generated Node #3: [76, 160] from Operation: 99+61=160
Current State: 84:[76, 160], Operations: ['55+21=76', '99+61=160']
Exploring Operation: 160-76=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
28,
99,
86,
13
] | 28 | [
"28+99=127",
"86+13=99",
"127-99=28"
] | Current State: 28:[28, 99, 86, 13], Operations: []
Exploring Operation: 28+99=127, Resulting Numbers: [86, 13, 127]
Generated Node #2: [86, 13, 127] from Operation: 28+99=127
Current State: 28:[86, 13, 127], Operations: ['28+99=127']
Exploring Operation: 86+13=99, Resulting Numbers: [127, 99]
Generated Node #3: [127, 99] from Operation: 86+13=99
Current State: 28:[127, 99], Operations: ['28+99=127', '86+13=99']
Exploring Operation: 127-99=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
18,
13,
8,
47
] | 49 | [
"18+8=26",
"26/13=2",
"47+2=49"
] | Current State: 49:[18, 13, 8, 47], Operations: []
Exploring Operation: 18+8=26, Resulting Numbers: [13, 47, 26]
Generated Node #2: [13, 47, 26] from Operation: 18+8=26
Current State: 49:[13, 47, 26], Operations: ['18+8=26']
Exploring Operation: 26/13=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 26/13=2
Current State: 49:[47, 2], Operations: ['18+8=26', '26/13=2']
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
12,
27,
92,
90
] | 42 | [
"92-90=2",
"27*2=54",
"54-12=42"
] | Current State: 42:[12, 27, 92, 90], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [12, 27, 2]
Generated Node #2: [12, 27, 2] from Operation: 92-90=2
Current State: 42:[12, 27, 2], Operations: ['92-90=2']
Exploring Operation: 27*2=54, Resulting Numbers: [12, 54]
Generated Node #3: [12, 54] from Operation: 27*2=54
Current State: 42:[12, 54], Operations: ['92-90=2', '27*2=54']
Exploring Operation: 54-12=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
83,
8,
95,
33
] | 67 | [
"95+33=128",
"128/8=16",
"83-16=67"
] | Current State: 67:[83, 8, 95, 33], Operations: []
Exploring Operation: 95+33=128, Resulting Numbers: [83, 8, 128]
Generated Node #2: [83, 8, 128] from Operation: 95+33=128
Current State: 67:[83, 8, 128], Operations: ['95+33=128']
Exploring Operation: 128/8=16, Resulting Numbers: [83, 16]
Generated Node #3: [83, 16] from Operation: 128/8=16
Current State: 67:[83, 16], Operations: ['95+33=128', '128/8=16']
Exploring Operation: 83-16=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
15,
95,
56,
29
] | 12 | [
"95+56=151",
"29+151=180",
"180/15=12"
] | Current State: 12:[15, 95, 56, 29], Operations: []
Exploring Operation: 95+56=151, Resulting Numbers: [15, 29, 151]
Generated Node #2: [15, 29, 151] from Operation: 95+56=151
Current State: 12:[15, 29, 151], Operations: ['95+56=151']
Exploring Operation: 29+151=180, Resulting Numbers: [15, 180]
Generated Node #3: [15, 180] from Operation: 29+151=180
Current State: 12:[15, 180], Operations: ['95+56=151', '29+151=180']
Exploring Operation: 180/15=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
77,
24,
5,
70
] | 12 | [
"77-24=53",
"70-5=65",
"65-53=12"
] | Current State: 12:[77, 24, 5, 70], Operations: []
Exploring Operation: 77-24=53, Resulting Numbers: [5, 70, 53]
Generated Node #2: [5, 70, 53] from Operation: 77-24=53
Current State: 12:[5, 70, 53], Operations: ['77-24=53']
Exploring Operation: 70-5=65, Resulting Numbers: [53, 65]
Generated Node #3: [53, 65] from Operation: 70-5=65
Current State: 12:[53, 65], Operations: ['77-24=53', '70-5=65']
Exploring Operation: 65-53=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
12,
74,
5,
39
] | 42 | [
"12+74=86",
"5+39=44",
"86-44=42"
] | Current State: 42:[12, 74, 5, 39], Operations: []
Exploring Operation: 12+74=86, Resulting Numbers: [5, 39, 86]
Generated Node #2: [5, 39, 86] from Operation: 12+74=86
Current State: 42:[5, 39, 86], Operations: ['12+74=86']
Exploring Operation: 5+39=44, Resulting Numbers: [86, 44]
Generated Node #3: [86, 44] from Operation: 5+39=44
Current State: 42:[86, 44], Operations: ['12+74=86', '5+39=44']
Exploring Operation: 86-44=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
8,
94,
36,
75
] | 63 | [
"8+94=102",
"75-36=39",
"102-39=63"
] | Current State: 63:[8, 94, 36, 75], Operations: []
Exploring Operation: 8+94=102, Resulting Numbers: [36, 75, 102]
Generated Node #2: [36, 75, 102] from Operation: 8+94=102
Current State: 63:[36, 75, 102], Operations: ['8+94=102']
Exploring Operation: 75-36=39, Resulting Numbers: [102, 39]
Generated Node #3: [102, 39] from Operation: 75-36=39
Current State: 63:[102, 39], Operations: ['8+94=102', '75-36=39']
Exploring Operation: 102-39=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
89,
39,
87,
85
] | 48 | [
"89-39=50",
"87-85=2",
"50-2=48"
] | Current State: 48:[89, 39, 87, 85], Operations: []
Exploring Operation: 89-39=50, Resulting Numbers: [87, 85, 50]
Generated Node #2: [87, 85, 50] from Operation: 89-39=50
Current State: 48:[87, 85, 50], Operations: ['89-39=50']
Exploring Operation: 87-85=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 87-85=2
Current State: 48:[50, 2], Operations: ['89-39=50', '87-85=2']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
12,
24,
42,
13
] | 71 | [
"24/12=2",
"42*2=84",
"84-13=71"
] | Current State: 71:[12, 24, 42, 13], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [42, 13, 2]
Generated Node #2: [42, 13, 2] from Operation: 24/12=2
Current State: 71:[42, 13, 2], Operations: ['24/12=2']
Exploring Operation: 42*2=84, Resulting Numbers: [13, 84]
Generated Node #3: [13, 84] from Operation: 42*2=84
Current State: 71:[13, 84], Operations: ['24/12=2', '42*2=84']
Exploring Operation: 84-13=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
2,
10,
13,
89
] | 56 | [
"2*10=20",
"89-13=76",
"76-20=56"
] | Current State: 56:[2, 10, 13, 89], Operations: []
Exploring Operation: 2*10=20, Resulting Numbers: [13, 89, 20]
Generated Node #2: [13, 89, 20] from Operation: 2*10=20
Current State: 56:[13, 89, 20], Operations: ['2*10=20']
Exploring Operation: 89-13=76, Resulting Numbers: [20, 76]
Generated Node #3: [20, 76] from Operation: 89-13=76
Current State: 56:[20, 76], Operations: ['2*10=20', '89-13=76']
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
3,
57,
6,
34
] | 26 | [
"57-3=54",
"34-6=28",
"54-28=26"
] | Current State: 26:[3, 57, 6, 34], Operations: []
Exploring Operation: 57-3=54, Resulting Numbers: [6, 34, 54]
Generated Node #2: [6, 34, 54] from Operation: 57-3=54
Current State: 26:[6, 34, 54], Operations: ['57-3=54']
Exploring Operation: 34-6=28, Resulting Numbers: [54, 28]
Generated Node #3: [54, 28] from Operation: 34-6=28
Current State: 26:[54, 28], Operations: ['57-3=54', '34-6=28']
Exploring Operation: 54-28=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
55,
44,
65,
67
] | 66 | [
"67-65=2",
"55*2=110",
"110-44=66"
] | Current State: 66:[55, 44, 65, 67], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [55, 44, 2]
Generated Node #2: [55, 44, 2] from Operation: 67-65=2
Current State: 66:[55, 44, 2], Operations: ['67-65=2']
Exploring Operation: 55*2=110, Resulting Numbers: [44, 110]
Generated Node #3: [44, 110] from Operation: 55*2=110
Current State: 66:[44, 110], Operations: ['67-65=2', '55*2=110']
Exploring Operation: 110-44=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
14,
65,
63,
93
] | 86 | [
"65-63=2",
"14/2=7",
"93-7=86"
] | Current State: 86:[14, 65, 63, 93], Operations: []
Exploring Operation: 65-63=2, Resulting Numbers: [14, 93, 2]
Generated Node #2: [14, 93, 2] from Operation: 65-63=2
Current State: 86:[14, 93, 2], Operations: ['65-63=2']
Exploring Operation: 14/2=7, Resulting Numbers: [93, 7]
Generated Node #3: [93, 7] from Operation: 14/2=7
Current State: 86:[93, 7], Operations: ['65-63=2', '14/2=7']
Exploring Operation: 93-7=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
69,
8,
4,
17
] | 88 | [
"69+17=86",
"8/4=2",
"86+2=88"
] | Current State: 88:[69, 8, 4, 17], Operations: []
Exploring Operation: 69+17=86, Resulting Numbers: [8, 4, 86]
Generated Node #2: [8, 4, 86] from Operation: 69+17=86
Current State: 88:[8, 4, 86], Operations: ['69+17=86']
Exploring Operation: 8/4=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 8/4=2
Current State: 88:[86, 2], Operations: ['69+17=86', '8/4=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
8,
73,
77,
2
] | 19 | [
"73+77=150",
"2+150=152",
"152/8=19"
] | Current State: 19:[8, 73, 77, 2], Operations: []
Exploring Operation: 73+77=150, Resulting Numbers: [8, 2, 150]
Generated Node #2: [8, 2, 150] from Operation: 73+77=150
Current State: 19:[8, 2, 150], Operations: ['73+77=150']
Exploring Operation: 2+150=152, Resulting Numbers: [8, 152]
Generated Node #3: [8, 152] from Operation: 2+150=152
Current State: 19:[8, 152], Operations: ['73+77=150', '2+150=152']
Exploring Operation: 152/8=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
21,
75,
92,
97
] | 36 | [
"97-92=5",
"75/5=15",
"21+15=36"
] | Current State: 36:[21, 75, 92, 97], Operations: []
Exploring Operation: 97-92=5, Resulting Numbers: [21, 75, 5]
Generated Node #2: [21, 75, 5] from Operation: 97-92=5
Current State: 36:[21, 75, 5], Operations: ['97-92=5']
Exploring Operation: 75/5=15, Resulting Numbers: [21, 15]
Generated Node #3: [21, 15] from Operation: 75/5=15
Current State: 36:[21, 15], Operations: ['97-92=5', '75/5=15']
Exploring Operation: 21+15=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
41,
10,
17,
38
] | 91 | [
"41+38=79",
"10*17=170",
"170-79=91"
] | Current State: 91:[41, 10, 17, 38], Operations: []
Exploring Operation: 41+38=79, Resulting Numbers: [10, 17, 79]
Generated Node #2: [10, 17, 79] from Operation: 41+38=79
Current State: 91:[10, 17, 79], Operations: ['41+38=79']
Exploring Operation: 10*17=170, Resulting Numbers: [79, 170]
Generated Node #3: [79, 170] from Operation: 10*17=170
Current State: 91:[79, 170], Operations: ['41+38=79', '10*17=170']
Exploring Operation: 170-79=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
58,
21,
33,
89
] | 23 | [
"58+21=79",
"89-33=56",
"79-56=23"
] | Current State: 23:[58, 21, 33, 89], Operations: []
Exploring Operation: 58+21=79, Resulting Numbers: [33, 89, 79]
Generated Node #2: [33, 89, 79] from Operation: 58+21=79
Current State: 23:[33, 89, 79], Operations: ['58+21=79']
Exploring Operation: 89-33=56, Resulting Numbers: [79, 56]
Generated Node #3: [79, 56] from Operation: 89-33=56
Current State: 23:[79, 56], Operations: ['58+21=79', '89-33=56']
Exploring Operation: 79-56=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
67,
75,
62,
9
] | 71 | [
"67+75=142",
"62+9=71",
"142-71=71"
] | Current State: 71:[67, 75, 62, 9], Operations: []
Exploring Operation: 67+75=142, Resulting Numbers: [62, 9, 142]
Generated Node #2: [62, 9, 142] from Operation: 67+75=142
Current State: 71:[62, 9, 142], Operations: ['67+75=142']
Exploring Operation: 62+9=71, Resulting Numbers: [142, 71]
Generated Node #3: [142, 71] from Operation: 62+9=71
Current State: 71:[142, 71], Operations: ['67+75=142', '62+9=71']
Exploring Operation: 142-71=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
70,
43,
70,
33
] | 43 | [
"70-70=0",
"33*0=0",
"43+0=43"
] | Current State: 43:[70, 43, 70, 33], Operations: []
Exploring Operation: 70-70=0, Resulting Numbers: [43, 33, 0]
Generated Node #2: [43, 33, 0] from Operation: 70-70=0
Current State: 43:[43, 33, 0], Operations: ['70-70=0']
Exploring Operation: 33*0=0, Resulting Numbers: [43, 0]
Generated Node #3: [43, 0] from Operation: 33*0=0
Current State: 43:[43, 0], Operations: ['70-70=0', '33*0=0']
Exploring Operation: 43+0=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
78,
11,
54,
59
] | 24 | [
"78+11=89",
"54+59=113",
"113-89=24"
] | Current State: 24:[78, 11, 54, 59], Operations: []
Exploring Operation: 78+11=89, Resulting Numbers: [54, 59, 89]
Generated Node #2: [54, 59, 89] from Operation: 78+11=89
Current State: 24:[54, 59, 89], Operations: ['78+11=89']
Exploring Operation: 54+59=113, Resulting Numbers: [89, 113]
Generated Node #3: [89, 113] from Operation: 54+59=113
Current State: 24:[89, 113], Operations: ['78+11=89', '54+59=113']
Exploring Operation: 113-89=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
10,
50,
6,
18
] | 60 | [
"50/10=5",
"18-6=12",
"5*12=60"
] | Current State: 60:[10, 50, 6, 18], Operations: []
Exploring Operation: 50/10=5, Resulting Numbers: [6, 18, 5]
Generated Node #2: [6, 18, 5] from Operation: 50/10=5
Current State: 60:[6, 18, 5], Operations: ['50/10=5']
Exploring Operation: 18-6=12, Resulting Numbers: [5, 12]
Generated Node #3: [5, 12] from Operation: 18-6=12
Current State: 60:[5, 12], Operations: ['50/10=5', '18-6=12']
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
71,
6,
18,
12
] | 80 | [
"71+12=83",
"18/6=3",
"83-3=80"
] | Current State: 80:[71, 6, 18, 12], Operations: []
Exploring Operation: 71+12=83, Resulting Numbers: [6, 18, 83]
Generated Node #2: [6, 18, 83] from Operation: 71+12=83
Current State: 80:[6, 18, 83], Operations: ['71+12=83']
Exploring Operation: 18/6=3, Resulting Numbers: [83, 3]
Generated Node #3: [83, 3] from Operation: 18/6=3
Current State: 80:[83, 3], Operations: ['71+12=83', '18/6=3']
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
59,
55,
90,
35
] | 58 | [
"90-55=35",
"35/35=1",
"59-1=58"
] | Current State: 58:[59, 55, 90, 35], Operations: []
Exploring Operation: 90-55=35, Resulting Numbers: [59, 35, 35]
Generated Node #2: [59, 35, 35] from Operation: 90-55=35
Current State: 58:[59, 35, 35], Operations: ['90-55=35']
Exploring Operation: 35/35=1, Resulting Numbers: [59, 1]
Generated Node #3: [59, 1] from Operation: 35/35=1
Current State: 58:[59, 1], Operations: ['90-55=35', '35/35=1']
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
83,
16,
68,
32
] | 12 | [
"83-32=51",
"16*51=816",
"816/68=12"
] | Current State: 12:[83, 16, 68, 32], Operations: []
Exploring Operation: 83-32=51, Resulting Numbers: [16, 68, 51]
Generated Node #2: [16, 68, 51] from Operation: 83-32=51
Current State: 12:[16, 68, 51], Operations: ['83-32=51']
Exploring Operation: 16*51=816, Resulting Numbers: [68, 816]
Generated Node #3: [68, 816] from Operation: 16*51=816
Current State: 12:[68, 816], Operations: ['83-32=51', '16*51=816']
Exploring Operation: 816/68=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
5,
57,
69,
71
] | 11 | [
"57+69=126",
"126-71=55",
"55/5=11"
] | Current State: 11:[5, 57, 69, 71], Operations: []
Exploring Operation: 57+69=126, Resulting Numbers: [5, 71, 126]
Generated Node #2: [5, 71, 126] from Operation: 57+69=126
Current State: 11:[5, 71, 126], Operations: ['57+69=126']
Exploring Operation: 126-71=55, Resulting Numbers: [5, 55]
Generated Node #3: [5, 55] from Operation: 126-71=55
Current State: 11:[5, 55], Operations: ['57+69=126', '126-71=55']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
30,
1,
40,
57
] | 67 | [
"30*1=30",
"40+57=97",
"97-30=67"
] | Current State: 67:[30, 1, 40, 57], Operations: []
Exploring Operation: 30*1=30, Resulting Numbers: [40, 57, 30]
Generated Node #2: [40, 57, 30] from Operation: 30*1=30
Current State: 67:[40, 57, 30], Operations: ['30*1=30']
Exploring Operation: 40+57=97, Resulting Numbers: [30, 97]
Generated Node #3: [30, 97] from Operation: 40+57=97
Current State: 67:[30, 97], Operations: ['30*1=30', '40+57=97']
Exploring Operation: 97-30=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
49,
56,
97,
82
] | 42 | [
"49*82=4018",
"56+4018=4074",
"4074/97=42"
] | Current State: 42:[49, 56, 97, 82], Operations: []
Exploring Operation: 49*82=4018, Resulting Numbers: [56, 97, 4018]
Generated Node #2: [56, 97, 4018] from Operation: 49*82=4018
Current State: 42:[56, 97, 4018], Operations: ['49*82=4018']
Exploring Operation: 56+4018=4074, Resulting Numbers: [97, 4074]
Generated Node #3: [97, 4074] from Operation: 56+4018=4074
Current State: 42:[97, 4074], Operations: ['49*82=4018', '56+4018=4074']
Exploring Operation: 4074/97=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
30,
87,
58,
26
] | 46 | [
"30*58=1740",
"1740/87=20",
"26+20=46"
] | Current State: 46:[30, 87, 58, 26], Operations: []
Exploring Operation: 30*58=1740, Resulting Numbers: [87, 26, 1740]
Generated Node #2: [87, 26, 1740] from Operation: 30*58=1740
Current State: 46:[87, 26, 1740], Operations: ['30*58=1740']
Exploring Operation: 1740/87=20, Resulting Numbers: [26, 20]
Generated Node #3: [26, 20] from Operation: 1740/87=20
Current State: 46:[26, 20], Operations: ['30*58=1740', '1740/87=20']
Exploring Operation: 26+20=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
58,
71,
2,
66
] | 48 | [
"71-66=5",
"2*5=10",
"58-10=48"
] | Current State: 48:[58, 71, 2, 66], Operations: []
Exploring Operation: 71-66=5, Resulting Numbers: [58, 2, 5]
Generated Node #2: [58, 2, 5] from Operation: 71-66=5
Current State: 48:[58, 2, 5], Operations: ['71-66=5']
Exploring Operation: 2*5=10, Resulting Numbers: [58, 10]
Generated Node #3: [58, 10] from Operation: 2*5=10
Current State: 48:[58, 10], Operations: ['71-66=5', '2*5=10']
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
33,
50,
62,
18
] | 39 | [
"33+50=83",
"62-18=44",
"83-44=39"
] | Current State: 39:[33, 50, 62, 18], Operations: []
Exploring Operation: 33+50=83, Resulting Numbers: [62, 18, 83]
Generated Node #2: [62, 18, 83] from Operation: 33+50=83
Current State: 39:[62, 18, 83], Operations: ['33+50=83']
Exploring Operation: 62-18=44, Resulting Numbers: [83, 44]
Generated Node #3: [83, 44] from Operation: 62-18=44
Current State: 39:[83, 44], Operations: ['33+50=83', '62-18=44']
Exploring Operation: 83-44=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
39,
40,
3,
37
] | 10 | [
"39/3=13",
"40-37=3",
"13-3=10"
] | Current State: 10:[39, 40, 3, 37], Operations: []
Exploring Operation: 39/3=13, Resulting Numbers: [40, 37, 13]
Generated Node #2: [40, 37, 13] from Operation: 39/3=13
Current State: 10:[40, 37, 13], Operations: ['39/3=13']
Exploring Operation: 40-37=3, Resulting Numbers: [13, 3]
Generated Node #3: [13, 3] from Operation: 40-37=3
Current State: 10:[13, 3], Operations: ['39/3=13', '40-37=3']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
2,
50,
58,
43
] | 67 | [
"2+50=52",
"58-43=15",
"52+15=67"
] | Current State: 67:[2, 50, 58, 43], Operations: []
Exploring Operation: 2+50=52, Resulting Numbers: [58, 43, 52]
Generated Node #2: [58, 43, 52] from Operation: 2+50=52
Current State: 67:[58, 43, 52], Operations: ['2+50=52']
Exploring Operation: 58-43=15, Resulting Numbers: [52, 15]
Generated Node #3: [52, 15] from Operation: 58-43=15
Current State: 67:[52, 15], Operations: ['2+50=52', '58-43=15']
Exploring Operation: 52+15=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
51,
37,
35,
29
] | 84 | [
"51-37=14",
"35-29=6",
"14*6=84"
] | Current State: 84:[51, 37, 35, 29], Operations: []
Exploring Operation: 51-37=14, Resulting Numbers: [35, 29, 14]
Generated Node #2: [35, 29, 14] from Operation: 51-37=14
Current State: 84:[35, 29, 14], Operations: ['51-37=14']
Exploring Operation: 35-29=6, Resulting Numbers: [14, 6]
Generated Node #3: [14, 6] from Operation: 35-29=6
Current State: 84:[14, 6], Operations: ['51-37=14', '35-29=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
26,
13,
39,
55
] | 26 | [
"55-26=29",
"39/13=3",
"29-3=26"
] | Current State: 26:[26, 13, 39, 55], Operations: []
Exploring Operation: 55-26=29, Resulting Numbers: [13, 39, 29]
Generated Node #2: [13, 39, 29] from Operation: 55-26=29
Current State: 26:[13, 39, 29], Operations: ['55-26=29']
Exploring Operation: 39/13=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 39/13=3
Current State: 26:[29, 3], Operations: ['55-26=29', '39/13=3']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
5,
83,
96,
82
] | 90 | [
"5+83=88",
"96+82=178",
"178-88=90"
] | Current State: 90:[5, 83, 96, 82], Operations: []
Exploring Operation: 5+83=88, Resulting Numbers: [96, 82, 88]
Generated Node #2: [96, 82, 88] from Operation: 5+83=88
Current State: 90:[96, 82, 88], Operations: ['5+83=88']
Exploring Operation: 96+82=178, Resulting Numbers: [88, 178]
Generated Node #3: [88, 178] from Operation: 96+82=178
Current State: 90:[88, 178], Operations: ['5+83=88', '96+82=178']
Exploring Operation: 178-88=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
88,
38,
40,
46
] | 56 | [
"88-38=50",
"46-40=6",
"50+6=56"
] | Current State: 56:[88, 38, 40, 46], Operations: []
Exploring Operation: 88-38=50, Resulting Numbers: [40, 46, 50]
Generated Node #2: [40, 46, 50] from Operation: 88-38=50
Current State: 56:[40, 46, 50], Operations: ['88-38=50']
Exploring Operation: 46-40=6, Resulting Numbers: [50, 6]
Generated Node #3: [50, 6] from Operation: 46-40=6
Current State: 56:[50, 6], Operations: ['88-38=50', '46-40=6']
Exploring Operation: 50+6=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
44,
59,
1,
75
] | 59 | [
"59-44=15",
"75-1=74",
"74-15=59"
] | Current State: 59:[44, 59, 1, 75], Operations: []
Exploring Operation: 59-44=15, Resulting Numbers: [1, 75, 15]
Generated Node #2: [1, 75, 15] from Operation: 59-44=15
Current State: 59:[1, 75, 15], Operations: ['59-44=15']
Exploring Operation: 75-1=74, Resulting Numbers: [15, 74]
Generated Node #3: [15, 74] from Operation: 75-1=74
Current State: 59:[15, 74], Operations: ['59-44=15', '75-1=74']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
61,
58,
16,
30
] | 26 | [
"61-58=3",
"30/3=10",
"16+10=26"
] | Current State: 26:[61, 58, 16, 30], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [16, 30, 3]
Generated Node #2: [16, 30, 3] from Operation: 61-58=3
Current State: 26:[16, 30, 3], Operations: ['61-58=3']
Exploring Operation: 30/3=10, Resulting Numbers: [16, 10]
Generated Node #3: [16, 10] from Operation: 30/3=10
Current State: 26:[16, 10], Operations: ['61-58=3', '30/3=10']
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
28,
10,
13,
4
] | 60 | [
"28/4=7",
"13-7=6",
"10*6=60"
] | Current State: 60:[28, 10, 13, 4], Operations: []
Exploring Operation: 28/4=7, Resulting Numbers: [10, 13, 7]
Generated Node #2: [10, 13, 7] from Operation: 28/4=7
Current State: 60:[10, 13, 7], Operations: ['28/4=7']
Exploring Operation: 13-7=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 13-7=6
Current State: 60:[10, 6], Operations: ['28/4=7', '13-7=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
76,
22,
13,
79
] | 21 | [
"76*22=1672",
"1672-13=1659",
"1659/79=21"
] | Current State: 21:[76, 22, 13, 79], Operations: []
Exploring Operation: 76*22=1672, Resulting Numbers: [13, 79, 1672]
Generated Node #2: [13, 79, 1672] from Operation: 76*22=1672
Current State: 21:[13, 79, 1672], Operations: ['76*22=1672']
Exploring Operation: 1672-13=1659, Resulting Numbers: [79, 1659]
Generated Node #3: [79, 1659] from Operation: 1672-13=1659
Current State: 21:[79, 1659], Operations: ['76*22=1672', '1672-13=1659']
Exploring Operation: 1659/79=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
57,
6,
95,
54
] | 98 | [
"57-6=51",
"95+54=149",
"149-51=98"
] | Current State: 98:[57, 6, 95, 54], Operations: []
Exploring Operation: 57-6=51, Resulting Numbers: [95, 54, 51]
Generated Node #2: [95, 54, 51] from Operation: 57-6=51
Current State: 98:[95, 54, 51], Operations: ['57-6=51']
Exploring Operation: 95+54=149, Resulting Numbers: [51, 149]
Generated Node #3: [51, 149] from Operation: 95+54=149
Current State: 98:[51, 149], Operations: ['57-6=51', '95+54=149']
Exploring Operation: 149-51=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
37,
70,
60,
96
] | 75 | [
"70*96=6720",
"6720/60=112",
"112-37=75"
] | Current State: 75:[37, 70, 60, 96], Operations: []
Exploring Operation: 70*96=6720, Resulting Numbers: [37, 60, 6720]
Generated Node #2: [37, 60, 6720] from Operation: 70*96=6720
Current State: 75:[37, 60, 6720], Operations: ['70*96=6720']
Exploring Operation: 6720/60=112, Resulting Numbers: [37, 112]
Generated Node #3: [37, 112] from Operation: 6720/60=112
Current State: 75:[37, 112], Operations: ['70*96=6720', '6720/60=112']
Exploring Operation: 112-37=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
77,
12,
2,
80
] | 69 | [
"12-2=10",
"80/10=8",
"77-8=69"
] | Current State: 69:[77, 12, 2, 80], Operations: []
Exploring Operation: 12-2=10, Resulting Numbers: [77, 80, 10]
Generated Node #2: [77, 80, 10] from Operation: 12-2=10
Current State: 69:[77, 80, 10], Operations: ['12-2=10']
Exploring Operation: 80/10=8, Resulting Numbers: [77, 8]
Generated Node #3: [77, 8] from Operation: 80/10=8
Current State: 69:[77, 8], Operations: ['12-2=10', '80/10=8']
Exploring Operation: 77-8=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
31,
1,
68,
31
] | 66 | [
"31/31=1",
"68-1=67",
"67-1=66"
] | Current State: 66:[31, 1, 68, 31], Operations: []
Exploring Operation: 31/31=1, Resulting Numbers: [1, 68, 1]
Generated Node #2: [1, 68, 1] from Operation: 31/31=1
Current State: 66:[1, 68, 1], Operations: ['31/31=1']
Exploring Operation: 68-1=67, Resulting Numbers: [67]
67,66 equal: Goal Reached
Exploring Operation: 67-1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
6,
48,
9,
63
] | 46 | [
"48/6=8",
"63-9=54",
"54-8=46"
] | Current State: 46:[6, 48, 9, 63], Operations: []
Exploring Operation: 48/6=8, Resulting Numbers: [9, 63, 8]
Generated Node #2: [9, 63, 8] from Operation: 48/6=8
Current State: 46:[9, 63, 8], Operations: ['48/6=8']
Exploring Operation: 63-9=54, Resulting Numbers: [8, 54]
Generated Node #3: [8, 54] from Operation: 63-9=54
Current State: 46:[8, 54], Operations: ['48/6=8', '63-9=54']
Exploring Operation: 54-8=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
75,
18,
48,
76
] | 85 | [
"75-18=57",
"76-48=28",
"57+28=85"
] | Current State: 85:[75, 18, 48, 76], Operations: []
Exploring Operation: 75-18=57, Resulting Numbers: [48, 76, 57]
Generated Node #2: [48, 76, 57] from Operation: 75-18=57
Current State: 85:[48, 76, 57], Operations: ['75-18=57']
Exploring Operation: 76-48=28, Resulting Numbers: [57, 28]
Generated Node #3: [57, 28] from Operation: 76-48=28
Current State: 85:[57, 28], Operations: ['75-18=57', '76-48=28']
Exploring Operation: 57+28=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
27,
63,
15,
20
] | 30 | [
"27+15=42",
"63*20=1260",
"1260/42=30"
] | Current State: 30:[27, 63, 15, 20], Operations: []
Exploring Operation: 27+15=42, Resulting Numbers: [63, 20, 42]
Generated Node #2: [63, 20, 42] from Operation: 27+15=42
Current State: 30:[63, 20, 42], Operations: ['27+15=42']
Exploring Operation: 63*20=1260, Resulting Numbers: [42, 1260]
Generated Node #3: [42, 1260] from Operation: 63*20=1260
Current State: 30:[42, 1260], Operations: ['27+15=42', '63*20=1260']
Exploring Operation: 1260/42=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
77,
8,
13,
61
] | 53 | [
"77-13=64",
"64/8=8",
"61-8=53"
] | Current State: 53:[77, 8, 13, 61], Operations: []
Exploring Operation: 77-13=64, Resulting Numbers: [8, 61, 64]
Generated Node #2: [8, 61, 64] from Operation: 77-13=64
Current State: 53:[8, 61, 64], Operations: ['77-13=64']
Exploring Operation: 64/8=8, Resulting Numbers: [61, 8]
Generated Node #3: [61, 8] from Operation: 64/8=8
Current State: 53:[61, 8], Operations: ['77-13=64', '64/8=8']
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
73,
17,
46,
75
] | 80 | [
"75-73=2",
"17*2=34",
"46+34=80"
] | Current State: 80:[73, 17, 46, 75], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [17, 46, 2]
Generated Node #2: [17, 46, 2] from Operation: 75-73=2
Current State: 80:[17, 46, 2], Operations: ['75-73=2']
Exploring Operation: 17*2=34, Resulting Numbers: [46, 34]
Generated Node #3: [46, 34] from Operation: 17*2=34
Current State: 80:[46, 34], Operations: ['75-73=2', '17*2=34']
Exploring Operation: 46+34=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
5,
8,
3,
27
] | 43 | [
"5+8=13",
"3+27=30",
"13+30=43"
] | Current State: 43:[5, 8, 3, 27], Operations: []
Exploring Operation: 5+8=13, Resulting Numbers: [3, 27, 13]
Generated Node #2: [3, 27, 13] from Operation: 5+8=13
Current State: 43:[3, 27, 13], Operations: ['5+8=13']
Exploring Operation: 3+27=30, Resulting Numbers: [13, 30]
Generated Node #3: [13, 30] from Operation: 3+27=30
Current State: 43:[13, 30], Operations: ['5+8=13', '3+27=30']
Exploring Operation: 13+30=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
45,
51,
5,
31
] | 60 | [
"45+51=96",
"5+31=36",
"96-36=60"
] | Current State: 60:[45, 51, 5, 31], Operations: []
Exploring Operation: 45+51=96, Resulting Numbers: [5, 31, 96]
Generated Node #2: [5, 31, 96] from Operation: 45+51=96
Current State: 60:[5, 31, 96], Operations: ['45+51=96']
Exploring Operation: 5+31=36, Resulting Numbers: [96, 36]
Generated Node #3: [96, 36] from Operation: 5+31=36
Current State: 60:[96, 36], Operations: ['45+51=96', '5+31=36']
Exploring Operation: 96-36=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
73,
90,
45,
11
] | 64 | [
"73-11=62",
"90/45=2",
"62+2=64"
] | Current State: 64:[73, 90, 45, 11], Operations: []
Exploring Operation: 73-11=62, Resulting Numbers: [90, 45, 62]
Generated Node #2: [90, 45, 62] from Operation: 73-11=62
Current State: 64:[90, 45, 62], Operations: ['73-11=62']
Exploring Operation: 90/45=2, Resulting Numbers: [62, 2]
Generated Node #3: [62, 2] from Operation: 90/45=2
Current State: 64:[62, 2], Operations: ['73-11=62', '90/45=2']
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
61,
37,
5,
24
] | 96 | [
"61-37=24",
"5*24=120",
"120-24=96"
] | Current State: 96:[61, 37, 5, 24], Operations: []
Exploring Operation: 61-37=24, Resulting Numbers: [5, 24, 24]
Generated Node #2: [5, 24, 24] from Operation: 61-37=24
Current State: 96:[5, 24, 24], Operations: ['61-37=24']
Exploring Operation: 5*24=120, Resulting Numbers: [120]
120,96 equal: Goal Reached
Exploring Operation: 120-24=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
32,
7,
73,
14
] | 17 | [
"32+73=105",
"14+105=119",
"119/7=17"
] | Current State: 17:[32, 7, 73, 14], Operations: []
Exploring Operation: 32+73=105, Resulting Numbers: [7, 14, 105]
Generated Node #2: [7, 14, 105] from Operation: 32+73=105
Current State: 17:[7, 14, 105], Operations: ['32+73=105']
Exploring Operation: 14+105=119, Resulting Numbers: [7, 119]
Generated Node #3: [7, 119] from Operation: 14+105=119
Current State: 17:[7, 119], Operations: ['32+73=105', '14+105=119']
Exploring Operation: 119/7=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
36,
73,
60,
80
] | 31 | [
"36+73=109",
"60+80=140",
"140-109=31"
] | Current State: 31:[36, 73, 60, 80], Operations: []
Exploring Operation: 36+73=109, Resulting Numbers: [60, 80, 109]
Generated Node #2: [60, 80, 109] from Operation: 36+73=109
Current State: 31:[60, 80, 109], Operations: ['36+73=109']
Exploring Operation: 60+80=140, Resulting Numbers: [109, 140]
Generated Node #3: [109, 140] from Operation: 60+80=140
Current State: 31:[109, 140], Operations: ['36+73=109', '60+80=140']
Exploring Operation: 140-109=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
60,
6,
70,
55
] | 51 | [
"60+6=66",
"70-55=15",
"66-15=51"
] | Current State: 51:[60, 6, 70, 55], Operations: []
Exploring Operation: 60+6=66, Resulting Numbers: [70, 55, 66]
Generated Node #2: [70, 55, 66] from Operation: 60+6=66
Current State: 51:[70, 55, 66], Operations: ['60+6=66']
Exploring Operation: 70-55=15, Resulting Numbers: [66, 15]
Generated Node #3: [66, 15] from Operation: 70-55=15
Current State: 51:[66, 15], Operations: ['60+6=66', '70-55=15']
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
86,
63,
21
] | 67 | [
"86-2=84",
"84/21=4",
"63+4=67"
] | Current State: 67:[2, 86, 63, 21], Operations: []
Exploring Operation: 86-2=84, Resulting Numbers: [63, 21, 84]
Generated Node #2: [63, 21, 84] from Operation: 86-2=84
Current State: 67:[63, 21, 84], Operations: ['86-2=84']
Exploring Operation: 84/21=4, Resulting Numbers: [63, 4]
Generated Node #3: [63, 4] from Operation: 84/21=4
Current State: 67:[63, 4], Operations: ['86-2=84', '84/21=4']
Exploring Operation: 63+4=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
57,
59,
27,
66
] | 78 | [
"59-57=2",
"66-27=39",
"2*39=78"
] | Current State: 78:[57, 59, 27, 66], Operations: []
Exploring Operation: 59-57=2, Resulting Numbers: [27, 66, 2]
Generated Node #2: [27, 66, 2] from Operation: 59-57=2
Current State: 78:[27, 66, 2], Operations: ['59-57=2']
Exploring Operation: 66-27=39, Resulting Numbers: [2, 39]
Generated Node #3: [2, 39] from Operation: 66-27=39
Current State: 78:[2, 39], Operations: ['59-57=2', '66-27=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
53,
75,
80,
22
] | 70 | [
"53+75=128",
"80-22=58",
"128-58=70"
] | Current State: 70:[53, 75, 80, 22], Operations: []
Exploring Operation: 53+75=128, Resulting Numbers: [80, 22, 128]
Generated Node #2: [80, 22, 128] from Operation: 53+75=128
Current State: 70:[80, 22, 128], Operations: ['53+75=128']
Exploring Operation: 80-22=58, Resulting Numbers: [128, 58]
Generated Node #3: [128, 58] from Operation: 80-22=58
Current State: 70:[128, 58], Operations: ['53+75=128', '80-22=58']
Exploring Operation: 128-58=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
40,
82,
49,
74
] | 23 | [
"40*49=1960",
"1960-74=1886",
"1886/82=23"
] | Current State: 23:[40, 82, 49, 74], Operations: []
Exploring Operation: 40*49=1960, Resulting Numbers: [82, 74, 1960]
Generated Node #2: [82, 74, 1960] from Operation: 40*49=1960
Current State: 23:[82, 74, 1960], Operations: ['40*49=1960']
Exploring Operation: 1960-74=1886, Resulting Numbers: [82, 1886]
Generated Node #3: [82, 1886] from Operation: 1960-74=1886
Current State: 23:[82, 1886], Operations: ['40*49=1960', '1960-74=1886']
Exploring Operation: 1886/82=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
3,
8,
91,
4
] | 21 | [
"3+4=7",
"91/7=13",
"8+13=21"
] | Current State: 21:[3, 8, 91, 4], Operations: []
Exploring Operation: 3+4=7, Resulting Numbers: [8, 91, 7]
Generated Node #2: [8, 91, 7] from Operation: 3+4=7
Current State: 21:[8, 91, 7], Operations: ['3+4=7']
Exploring Operation: 91/7=13, Resulting Numbers: [8, 13]
Generated Node #3: [8, 13] from Operation: 91/7=13
Current State: 21:[8, 13], Operations: ['3+4=7', '91/7=13']
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
12,
66,
66,
6
] | 84 | [
"66/66=1",
"6+1=7",
"12*7=84"
] | Current State: 84:[12, 66, 66, 6], Operations: []
Exploring Operation: 66/66=1, Resulting Numbers: [12, 6, 1]
Generated Node #2: [12, 6, 1] from Operation: 66/66=1
Current State: 84:[12, 6, 1], Operations: ['66/66=1']
Exploring Operation: 6+1=7, Resulting Numbers: [12, 7]
Generated Node #3: [12, 7] from Operation: 6+1=7
Current State: 84:[12, 7], Operations: ['66/66=1', '6+1=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
21,
58,
33,
23
] | 55 | [
"58-23=35",
"33*35=1155",
"1155/21=55"
] | Current State: 55:[21, 58, 33, 23], Operations: []
Exploring Operation: 58-23=35, Resulting Numbers: [21, 33, 35]
Generated Node #2: [21, 33, 35] from Operation: 58-23=35
Current State: 55:[21, 33, 35], Operations: ['58-23=35']
Exploring Operation: 33*35=1155, Resulting Numbers: [21, 1155]
Generated Node #3: [21, 1155] from Operation: 33*35=1155
Current State: 55:[21, 1155], Operations: ['58-23=35', '33*35=1155']
Exploring Operation: 1155/21=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
14,
67,
72,
75
] | 50 | [
"67-14=53",
"75-72=3",
"53-3=50"
] | Current State: 50:[14, 67, 72, 75], Operations: []
Exploring Operation: 67-14=53, Resulting Numbers: [72, 75, 53]
Generated Node #2: [72, 75, 53] from Operation: 67-14=53
Current State: 50:[72, 75, 53], Operations: ['67-14=53']
Exploring Operation: 75-72=3, Resulting Numbers: [53, 3]
Generated Node #3: [53, 3] from Operation: 75-72=3
Current State: 50:[53, 3], Operations: ['67-14=53', '75-72=3']
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
50,
6,
55,
48
] | 52 | [
"50-48=2",
"6/2=3",
"55-3=52"
] | Current State: 52:[50, 6, 55, 48], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [6, 55, 2]
Generated Node #2: [6, 55, 2] from Operation: 50-48=2
Current State: 52:[6, 55, 2], Operations: ['50-48=2']
Exploring Operation: 6/2=3, Resulting Numbers: [55, 3]
Generated Node #3: [55, 3] from Operation: 6/2=3
Current State: 52:[55, 3], Operations: ['50-48=2', '6/2=3']
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
1,
33,
11,
92
] | 49 | [
"33-1=32",
"92-11=81",
"81-32=49"
] | Current State: 49:[1, 33, 11, 92], Operations: []
Exploring Operation: 33-1=32, Resulting Numbers: [11, 92, 32]
Generated Node #2: [11, 92, 32] from Operation: 33-1=32
Current State: 49:[11, 92, 32], Operations: ['33-1=32']
Exploring Operation: 92-11=81, Resulting Numbers: [32, 81]
Generated Node #3: [32, 81] from Operation: 92-11=81
Current State: 49:[32, 81], Operations: ['33-1=32', '92-11=81']
Exploring Operation: 81-32=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
67,
70,
26,
64
] | 41 | [
"70-67=3",
"64-26=38",
"3+38=41"
] | Current State: 41:[67, 70, 26, 64], Operations: []
Exploring Operation: 70-67=3, Resulting Numbers: [26, 64, 3]
Generated Node #2: [26, 64, 3] from Operation: 70-67=3
Current State: 41:[26, 64, 3], Operations: ['70-67=3']
Exploring Operation: 64-26=38, Resulting Numbers: [3, 38]
Generated Node #3: [3, 38] from Operation: 64-26=38
Current State: 41:[3, 38], Operations: ['70-67=3', '64-26=38']
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
12,
3,
47,
88
] | 45 | [
"12/3=4",
"88-47=41",
"4+41=45"
] | Current State: 45:[12, 3, 47, 88], Operations: []
Exploring Operation: 12/3=4, Resulting Numbers: [47, 88, 4]
Generated Node #2: [47, 88, 4] from Operation: 12/3=4
Current State: 45:[47, 88, 4], Operations: ['12/3=4']
Exploring Operation: 88-47=41, Resulting Numbers: [4, 41]
Generated Node #3: [4, 41] from Operation: 88-47=41
Current State: 45:[4, 41], Operations: ['12/3=4', '88-47=41']
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
3,
21,
25,
75
] | 43 | [
"21/3=7",
"75-25=50",
"50-7=43"
] | Current State: 43:[3, 21, 25, 75], Operations: []
Exploring Operation: 21/3=7, Resulting Numbers: [25, 75, 7]
Generated Node #2: [25, 75, 7] from Operation: 21/3=7
Current State: 43:[25, 75, 7], Operations: ['21/3=7']
Exploring Operation: 75-25=50, Resulting Numbers: [7, 50]
Generated Node #3: [7, 50] from Operation: 75-25=50
Current State: 43:[7, 50], Operations: ['21/3=7', '75-25=50']
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
62,
83,
48,
30
] | 57 | [
"83-62=21",
"48+30=78",
"78-21=57"
] | Current State: 57:[62, 83, 48, 30], Operations: []
Exploring Operation: 83-62=21, Resulting Numbers: [48, 30, 21]
Generated Node #2: [48, 30, 21] from Operation: 83-62=21
Current State: 57:[48, 30, 21], Operations: ['83-62=21']
Exploring Operation: 48+30=78, Resulting Numbers: [21, 78]
Generated Node #3: [21, 78] from Operation: 48+30=78
Current State: 57:[21, 78], Operations: ['83-62=21', '48+30=78']
Exploring Operation: 78-21=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
8,
4,
24,
55
] | 67 | [
"8+4=12",
"24+55=79",
"79-12=67"
] | Current State: 67:[8, 4, 24, 55], Operations: []
Exploring Operation: 8+4=12, Resulting Numbers: [24, 55, 12]
Generated Node #2: [24, 55, 12] from Operation: 8+4=12
Current State: 67:[24, 55, 12], Operations: ['8+4=12']
Exploring Operation: 24+55=79, Resulting Numbers: [12, 79]
Generated Node #3: [12, 79] from Operation: 24+55=79
Current State: 67:[12, 79], Operations: ['8+4=12', '24+55=79']
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
70,
2,
9,
20
] | 92 | [
"20-2=18",
"9*18=162",
"162-70=92"
] | Current State: 92:[70, 2, 9, 20], Operations: []
Exploring Operation: 20-2=18, Resulting Numbers: [70, 9, 18]
Generated Node #2: [70, 9, 18] from Operation: 20-2=18
Current State: 92:[70, 9, 18], Operations: ['20-2=18']
Exploring Operation: 9*18=162, Resulting Numbers: [70, 162]
Generated Node #3: [70, 162] from Operation: 9*18=162
Current State: 92:[70, 162], Operations: ['20-2=18', '9*18=162']
Exploring Operation: 162-70=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
65,
21,
17,
16
] | 18 | [
"65-17=48",
"48/16=3",
"21-3=18"
] | Current State: 18:[65, 21, 17, 16], Operations: []
Exploring Operation: 65-17=48, Resulting Numbers: [21, 16, 48]
Generated Node #2: [21, 16, 48] from Operation: 65-17=48
Current State: 18:[21, 16, 48], Operations: ['65-17=48']
Exploring Operation: 48/16=3, Resulting Numbers: [21, 3]
Generated Node #3: [21, 3] from Operation: 48/16=3
Current State: 18:[21, 3], Operations: ['65-17=48', '48/16=3']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
11,
48,
53,
67
] | 12 | [
"53-48=5",
"11*5=55",
"67-55=12"
] | Current State: 12:[11, 48, 53, 67], Operations: []
Exploring Operation: 53-48=5, Resulting Numbers: [11, 67, 5]
Generated Node #2: [11, 67, 5] from Operation: 53-48=5
Current State: 12:[11, 67, 5], Operations: ['53-48=5']
Exploring Operation: 11*5=55, Resulting Numbers: [67, 55]
Generated Node #3: [67, 55] from Operation: 11*5=55
Current State: 12:[67, 55], Operations: ['53-48=5', '11*5=55']
Exploring Operation: 67-55=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
2,
62,
18,
48
] | 65 | [
"18-2=16",
"48/16=3",
"62+3=65"
] | Current State: 65:[2, 62, 18, 48], Operations: []
Exploring Operation: 18-2=16, Resulting Numbers: [62, 48, 16]
Generated Node #2: [62, 48, 16] from Operation: 18-2=16
Current State: 65:[62, 48, 16], Operations: ['18-2=16']
Exploring Operation: 48/16=3, Resulting Numbers: [62, 3]
Generated Node #3: [62, 3] from Operation: 48/16=3
Current State: 65:[62, 3], Operations: ['18-2=16', '48/16=3']
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
55,
36,
6,
88
] | 26 | [
"55-36=19",
"6*19=114",
"114-88=26"
] | Current State: 26:[55, 36, 6, 88], Operations: []
Exploring Operation: 55-36=19, Resulting Numbers: [6, 88, 19]
Generated Node #2: [6, 88, 19] from Operation: 55-36=19
Current State: 26:[6, 88, 19], Operations: ['55-36=19']
Exploring Operation: 6*19=114, Resulting Numbers: [88, 114]
Generated Node #3: [88, 114] from Operation: 6*19=114
Current State: 26:[88, 114], Operations: ['55-36=19', '6*19=114']
Exploring Operation: 114-88=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
51,
88,
11,
7
] | 19 | [
"88-51=37",
"11+7=18",
"37-18=19"
] | Current State: 19:[51, 88, 11, 7], Operations: []
Exploring Operation: 88-51=37, Resulting Numbers: [11, 7, 37]
Generated Node #2: [11, 7, 37] from Operation: 88-51=37
Current State: 19:[11, 7, 37], Operations: ['88-51=37']
Exploring Operation: 11+7=18, Resulting Numbers: [37, 18]
Generated Node #3: [37, 18] from Operation: 11+7=18
Current State: 19:[37, 18], Operations: ['88-51=37', '11+7=18']
Exploring Operation: 37-18=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
89,
12,
30,
63
] | 68 | [
"89+12=101",
"63-30=33",
"101-33=68"
] | Current State: 68:[89, 12, 30, 63], Operations: []
Exploring Operation: 89+12=101, Resulting Numbers: [30, 63, 101]
Generated Node #2: [30, 63, 101] from Operation: 89+12=101
Current State: 68:[30, 63, 101], Operations: ['89+12=101']
Exploring Operation: 63-30=33, Resulting Numbers: [101, 33]
Generated Node #3: [101, 33] from Operation: 63-30=33
Current State: 68:[101, 33], Operations: ['89+12=101', '63-30=33']
Exploring Operation: 101-33=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
2,
27,
65,
60
] | 34 | [
"2+27=29",
"65-60=5",
"29+5=34"
] | Current State: 34:[2, 27, 65, 60], Operations: []
Exploring Operation: 2+27=29, Resulting Numbers: [65, 60, 29]
Generated Node #2: [65, 60, 29] from Operation: 2+27=29
Current State: 34:[65, 60, 29], Operations: ['2+27=29']
Exploring Operation: 65-60=5, Resulting Numbers: [29, 5]
Generated Node #3: [29, 5] from Operation: 65-60=5
Current State: 34:[29, 5], Operations: ['2+27=29', '65-60=5']
Exploring Operation: 29+5=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
63,
47,
75,
3
] | 88 | [
"63-47=16",
"75-3=72",
"16+72=88"
] | Current State: 88:[63, 47, 75, 3], Operations: []
Exploring Operation: 63-47=16, Resulting Numbers: [75, 3, 16]
Generated Node #2: [75, 3, 16] from Operation: 63-47=16
Current State: 88:[75, 3, 16], Operations: ['63-47=16']
Exploring Operation: 75-3=72, Resulting Numbers: [16, 72]
Generated Node #3: [16, 72] from Operation: 75-3=72
Current State: 88:[16, 72], Operations: ['63-47=16', '75-3=72']
Exploring Operation: 16+72=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
44,
9,
26,
9
] | 99 | [
"44-26=18",
"9*9=81",
"18+81=99"
] | Current State: 99:[44, 9, 26, 9], Operations: []
Exploring Operation: 44-26=18, Resulting Numbers: [9, 9, 18]
Generated Node #2: [9, 9, 18] from Operation: 44-26=18
Current State: 99:[9, 9, 18], Operations: ['44-26=18']
Exploring Operation: 9*9=81, Resulting Numbers: [18, 81]
Generated Node #3: [18, 81] from Operation: 9*9=81
Current State: 99:[18, 81], Operations: ['44-26=18', '9*9=81']
Exploring Operation: 18+81=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
60,
40,
2,
50
] | 20 | [
"60/2=30",
"50-40=10",
"30-10=20"
] | Current State: 20:[60, 40, 2, 50], Operations: []
Exploring Operation: 60/2=30, Resulting Numbers: [40, 50, 30]
Generated Node #2: [40, 50, 30] from Operation: 60/2=30
Current State: 20:[40, 50, 30], Operations: ['60/2=30']
Exploring Operation: 50-40=10, Resulting Numbers: [30, 10]
Generated Node #3: [30, 10] from Operation: 50-40=10
Current State: 20:[30, 10], Operations: ['60/2=30', '50-40=10']
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
90,
56,
38,
51
] | 21 | [
"90-56=34",
"51-38=13",
"34-13=21"
] | Current State: 21:[90, 56, 38, 51], Operations: []
Exploring Operation: 90-56=34, Resulting Numbers: [38, 51, 34]
Generated Node #2: [38, 51, 34] from Operation: 90-56=34
Current State: 21:[38, 51, 34], Operations: ['90-56=34']
Exploring Operation: 51-38=13, Resulting Numbers: [34, 13]
Generated Node #3: [34, 13] from Operation: 51-38=13
Current State: 21:[34, 13], Operations: ['90-56=34', '51-38=13']
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
89,
82,
47,
96
] | 56 | [
"89-82=7",
"96-47=49",
"7+49=56"
] | Current State: 56:[89, 82, 47, 96], Operations: []
Exploring Operation: 89-82=7, Resulting Numbers: [47, 96, 7]
Generated Node #2: [47, 96, 7] from Operation: 89-82=7
Current State: 56:[47, 96, 7], Operations: ['89-82=7']
Exploring Operation: 96-47=49, Resulting Numbers: [7, 49]
Generated Node #3: [7, 49] from Operation: 96-47=49
Current State: 56:[7, 49], Operations: ['89-82=7', '96-47=49']
Exploring Operation: 7+49=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
55,
20,
16,
80
] | 70 | [
"55+20=75",
"80/16=5",
"75-5=70"
] | Current State: 70:[55, 20, 16, 80], Operations: []
Exploring Operation: 55+20=75, Resulting Numbers: [16, 80, 75]
Generated Node #2: [16, 80, 75] from Operation: 55+20=75
Current State: 70:[16, 80, 75], Operations: ['55+20=75']
Exploring Operation: 80/16=5, Resulting Numbers: [75, 5]
Generated Node #3: [75, 5] from Operation: 80/16=5
Current State: 70:[75, 5], Operations: ['55+20=75', '80/16=5']
Exploring Operation: 75-5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
16,
45,
25,
32
] | 40 | [
"32/16=2",
"45-25=20",
"2*20=40"
] | Current State: 40:[16, 45, 25, 32], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [45, 25, 2]
Generated Node #2: [45, 25, 2] from Operation: 32/16=2
Current State: 40:[45, 25, 2], Operations: ['32/16=2']
Exploring Operation: 45-25=20, Resulting Numbers: [2, 20]
Generated Node #3: [2, 20] from Operation: 45-25=20
Current State: 40:[2, 20], Operations: ['32/16=2', '45-25=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
39,
94,
7,
96
] | 44 | [
"39+94=133",
"96-7=89",
"133-89=44"
] | Current State: 44:[39, 94, 7, 96], Operations: []
Exploring Operation: 39+94=133, Resulting Numbers: [7, 96, 133]
Generated Node #2: [7, 96, 133] from Operation: 39+94=133
Current State: 44:[7, 96, 133], Operations: ['39+94=133']
Exploring Operation: 96-7=89, Resulting Numbers: [133, 89]
Generated Node #3: [133, 89] from Operation: 96-7=89
Current State: 44:[133, 89], Operations: ['39+94=133', '96-7=89']
Exploring Operation: 133-89=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
61,
38,
6,
91
] | 48 | [
"61+38=99",
"99-91=8",
"6*8=48"
] | Current State: 48:[61, 38, 6, 91], Operations: []
Exploring Operation: 61+38=99, Resulting Numbers: [6, 91, 99]
Generated Node #2: [6, 91, 99] from Operation: 61+38=99
Current State: 48:[6, 91, 99], Operations: ['61+38=99']
Exploring Operation: 99-91=8, Resulting Numbers: [6, 8]
Generated Node #3: [6, 8] from Operation: 99-91=8
Current State: 48:[6, 8], Operations: ['61+38=99', '99-91=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
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