nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
61,
39,
48,
30
] | 40 | [
"61-39=22",
"48-30=18",
"22+18=40"
] | Current State: 40:[61, 39, 48, 30], Operations: []
Exploring Operation: 61-39=22, Resulting Numbers: [48, 30, 22]
Generated Node #2: [48, 30, 22] from Operation: 61-39=22
Current State: 40:[48, 30, 22], Operations: ['61-39=22']
Exploring Operation: 48-30=18, Resulting Numbers: [22, 18]
Generated Node #3: [22, 18] from Operation: 48-30=18
Current State: 40:[22, 18], Operations: ['61-39=22', '48-30=18']
Exploring Operation: 22+18=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
44,
28,
5,
62
] | 83 | [
"44-28=16",
"5+62=67",
"16+67=83"
] | Current State: 83:[44, 28, 5, 62], Operations: []
Exploring Operation: 44-28=16, Resulting Numbers: [5, 62, 16]
Generated Node #2: [5, 62, 16] from Operation: 44-28=16
Current State: 83:[5, 62, 16], Operations: ['44-28=16']
Exploring Operation: 5+62=67, Resulting Numbers: [16, 67]
Generated Node #3: [16, 67] from Operation: 5+62=67
Current State: 83:[16, 67], Operations: ['44-28=16', '5+62=67']
Exploring Operation: 16+67=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
77,
22,
25,
65
] | 35 | [
"77-22=55",
"25+65=90",
"90-55=35"
] | Current State: 35:[77, 22, 25, 65], Operations: []
Exploring Operation: 77-22=55, Resulting Numbers: [25, 65, 55]
Generated Node #2: [25, 65, 55] from Operation: 77-22=55
Current State: 35:[25, 65, 55], Operations: ['77-22=55']
Exploring Operation: 25+65=90, Resulting Numbers: [55, 90]
Generated Node #3: [55, 90] from Operation: 25+65=90
Current State: 35:[55, 90], Operations: ['77-22=55', '25+65=90']
Exploring Operation: 90-55=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
12,
2,
29,
47
] | 50 | [
"29+47=76",
"76/2=38",
"12+38=50"
] | Current State: 50:[12, 2, 29, 47], Operations: []
Exploring Operation: 29+47=76, Resulting Numbers: [12, 2, 76]
Generated Node #2: [12, 2, 76] from Operation: 29+47=76
Current State: 50:[12, 2, 76], Operations: ['29+47=76']
Exploring Operation: 76/2=38, Resulting Numbers: [12, 38]
Generated Node #3: [12, 38] from Operation: 76/2=38
Current State: 50:[12, 38], Operations: ['29+47=76', '76/2=38']
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
82,
92,
19,
76
] | 14 | [
"92-82=10",
"76/19=4",
"10+4=14"
] | Current State: 14:[82, 92, 19, 76], Operations: []
Exploring Operation: 92-82=10, Resulting Numbers: [19, 76, 10]
Generated Node #2: [19, 76, 10] from Operation: 92-82=10
Current State: 14:[19, 76, 10], Operations: ['92-82=10']
Exploring Operation: 76/19=4, Resulting Numbers: [10, 4]
Generated Node #3: [10, 4] from Operation: 76/19=4
Current State: 14:[10, 4], Operations: ['92-82=10', '76/19=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
69,
22,
50,
2
] | 30 | [
"69-50=19",
"22/2=11",
"19+11=30"
] | Current State: 30:[69, 22, 50, 2], Operations: []
Exploring Operation: 69-50=19, Resulting Numbers: [22, 2, 19]
Generated Node #2: [22, 2, 19] from Operation: 69-50=19
Current State: 30:[22, 2, 19], Operations: ['69-50=19']
Exploring Operation: 22/2=11, Resulting Numbers: [19, 11]
Generated Node #3: [19, 11] from Operation: 22/2=11
Current State: 30:[19, 11], Operations: ['69-50=19', '22/2=11']
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
9,
51,
51,
44
] | 53 | [
"9+51=60",
"51-44=7",
"60-7=53"
] | Current State: 53:[9, 51, 51, 44], Operations: []
Exploring Operation: 9+51=60, Resulting Numbers: [44, 60]
Generated Node #2: [44, 60] from Operation: 9+51=60
Current State: 53:[44, 60], Operations: ['9+51=60']
Exploring Operation: 51-44=7, Resulting Numbers: [60, 7]
Generated Node #3: [60, 7] from Operation: 51-44=7
Current State: 53:[60, 7], Operations: ['9+51=60', '51-44=7']
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
92,
33,
3,
42
] | 73 | [
"92-33=59",
"42/3=14",
"59+14=73"
] | Current State: 73:[92, 33, 3, 42], Operations: []
Exploring Operation: 92-33=59, Resulting Numbers: [3, 42, 59]
Generated Node #2: [3, 42, 59] from Operation: 92-33=59
Current State: 73:[3, 42, 59], Operations: ['92-33=59']
Exploring Operation: 42/3=14, Resulting Numbers: [59, 14]
Generated Node #3: [59, 14] from Operation: 42/3=14
Current State: 73:[59, 14], Operations: ['92-33=59', '42/3=14']
Exploring Operation: 59+14=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
86,
25,
85,
55
] | 88 | [
"25+85=110",
"110/55=2",
"86+2=88"
] | Current State: 88:[86, 25, 85, 55], Operations: []
Exploring Operation: 25+85=110, Resulting Numbers: [86, 55, 110]
Generated Node #2: [86, 55, 110] from Operation: 25+85=110
Current State: 88:[86, 55, 110], Operations: ['25+85=110']
Exploring Operation: 110/55=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 110/55=2
Current State: 88:[86, 2], Operations: ['25+85=110', '110/55=2']
Exploring Operation: 86+2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
71,
13,
64,
64
] | 13 | [
"64-64=0",
"71*0=0",
"13+0=13"
] | Current State: 13:[71, 13, 64, 64], Operations: []
Exploring Operation: 64-64=0, Resulting Numbers: [71, 13, 0]
Generated Node #2: [71, 13, 0] from Operation: 64-64=0
Current State: 13:[71, 13, 0], Operations: ['64-64=0']
Exploring Operation: 71*0=0, Resulting Numbers: [13, 0]
Generated Node #3: [13, 0] from Operation: 71*0=0
Current State: 13:[13, 0], Operations: ['64-64=0', '71*0=0']
Exploring Operation: 13+0=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
80,
6,
67,
3
] | 10 | [
"80-6=74",
"67-3=64",
"74-64=10"
] | Current State: 10:[80, 6, 67, 3], Operations: []
Exploring Operation: 80-6=74, Resulting Numbers: [67, 3, 74]
Generated Node #2: [67, 3, 74] from Operation: 80-6=74
Current State: 10:[67, 3, 74], Operations: ['80-6=74']
Exploring Operation: 67-3=64, Resulting Numbers: [74, 64]
Generated Node #3: [74, 64] from Operation: 67-3=64
Current State: 10:[74, 64], Operations: ['80-6=74', '67-3=64']
Exploring Operation: 74-64=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
78,
59,
97,
79
] | 61 | [
"59*79=4661",
"97+4661=4758",
"4758/78=61"
] | Current State: 61:[78, 59, 97, 79], Operations: []
Exploring Operation: 59*79=4661, Resulting Numbers: [78, 97, 4661]
Generated Node #2: [78, 97, 4661] from Operation: 59*79=4661
Current State: 61:[78, 97, 4661], Operations: ['59*79=4661']
Exploring Operation: 97+4661=4758, Resulting Numbers: [78, 4758]
Generated Node #3: [78, 4758] from Operation: 97+4661=4758
Current State: 61:[78, 4758], Operations: ['59*79=4661', '97+4661=4758']
Exploring Operation: 4758/78=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
4,
52,
33,
94
] | 36 | [
"52+33=85",
"94-85=9",
"4*9=36"
] | Current State: 36:[4, 52, 33, 94], Operations: []
Exploring Operation: 52+33=85, Resulting Numbers: [4, 94, 85]
Generated Node #2: [4, 94, 85] from Operation: 52+33=85
Current State: 36:[4, 94, 85], Operations: ['52+33=85']
Exploring Operation: 94-85=9, Resulting Numbers: [4, 9]
Generated Node #3: [4, 9] from Operation: 94-85=9
Current State: 36:[4, 9], Operations: ['52+33=85', '94-85=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
82,
15,
73,
28
] | 79 | [
"73-28=45",
"45/15=3",
"82-3=79"
] | Current State: 79:[82, 15, 73, 28], Operations: []
Exploring Operation: 73-28=45, Resulting Numbers: [82, 15, 45]
Generated Node #2: [82, 15, 45] from Operation: 73-28=45
Current State: 79:[82, 15, 45], Operations: ['73-28=45']
Exploring Operation: 45/15=3, Resulting Numbers: [82, 3]
Generated Node #3: [82, 3] from Operation: 45/15=3
Current State: 79:[82, 3], Operations: ['73-28=45', '45/15=3']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
21,
56,
67,
14
] | 82 | [
"56+67=123",
"14*123=1722",
"1722/21=82"
] | Current State: 82:[21, 56, 67, 14], Operations: []
Exploring Operation: 56+67=123, Resulting Numbers: [21, 14, 123]
Generated Node #2: [21, 14, 123] from Operation: 56+67=123
Current State: 82:[21, 14, 123], Operations: ['56+67=123']
Exploring Operation: 14*123=1722, Resulting Numbers: [21, 1722]
Generated Node #3: [21, 1722] from Operation: 14*123=1722
Current State: 82:[21, 1722], Operations: ['56+67=123', '14*123=1722']
Exploring Operation: 1722/21=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
53,
78,
39,
52
] | 38 | [
"78-53=25",
"52-39=13",
"25+13=38"
] | Current State: 38:[53, 78, 39, 52], Operations: []
Exploring Operation: 78-53=25, Resulting Numbers: [39, 52, 25]
Generated Node #2: [39, 52, 25] from Operation: 78-53=25
Current State: 38:[39, 52, 25], Operations: ['78-53=25']
Exploring Operation: 52-39=13, Resulting Numbers: [25, 13]
Generated Node #3: [25, 13] from Operation: 52-39=13
Current State: 38:[25, 13], Operations: ['78-53=25', '52-39=13']
Exploring Operation: 25+13=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
3,
10,
15,
66
] | 70 | [
"66/3=22",
"22-15=7",
"10*7=70"
] | Current State: 70:[3, 10, 15, 66], Operations: []
Exploring Operation: 66/3=22, Resulting Numbers: [10, 15, 22]
Generated Node #2: [10, 15, 22] from Operation: 66/3=22
Current State: 70:[10, 15, 22], Operations: ['66/3=22']
Exploring Operation: 22-15=7, Resulting Numbers: [10, 7]
Generated Node #3: [10, 7] from Operation: 22-15=7
Current State: 70:[10, 7], Operations: ['66/3=22', '22-15=7']
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
12,
16,
28,
20
] | 32 | [
"16-12=4",
"28-20=8",
"4*8=32"
] | Current State: 32:[12, 16, 28, 20], Operations: []
Exploring Operation: 16-12=4, Resulting Numbers: [28, 20, 4]
Generated Node #2: [28, 20, 4] from Operation: 16-12=4
Current State: 32:[28, 20, 4], Operations: ['16-12=4']
Exploring Operation: 28-20=8, Resulting Numbers: [4, 8]
Generated Node #3: [4, 8] from Operation: 28-20=8
Current State: 32:[4, 8], Operations: ['16-12=4', '28-20=8']
Exploring Operation: 4*8=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
23,
82,
73,
72
] | 86 | [
"82-23=59",
"73+72=145",
"145-59=86"
] | Current State: 86:[23, 82, 73, 72], Operations: []
Exploring Operation: 82-23=59, Resulting Numbers: [73, 72, 59]
Generated Node #2: [73, 72, 59] from Operation: 82-23=59
Current State: 86:[73, 72, 59], Operations: ['82-23=59']
Exploring Operation: 73+72=145, Resulting Numbers: [59, 145]
Generated Node #3: [59, 145] from Operation: 73+72=145
Current State: 86:[59, 145], Operations: ['82-23=59', '73+72=145']
Exploring Operation: 145-59=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
2,
23,
55,
56
] | 11 | [
"56/2=28",
"28-23=5",
"55/5=11"
] | Current State: 11:[2, 23, 55, 56], Operations: []
Exploring Operation: 56/2=28, Resulting Numbers: [23, 55, 28]
Generated Node #2: [23, 55, 28] from Operation: 56/2=28
Current State: 11:[23, 55, 28], Operations: ['56/2=28']
Exploring Operation: 28-23=5, Resulting Numbers: [55, 5]
Generated Node #3: [55, 5] from Operation: 28-23=5
Current State: 11:[55, 5], Operations: ['56/2=28', '28-23=5']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
37,
11,
26,
42
] | 79 | [
"37-26=11",
"11*11=121",
"121-42=79"
] | Current State: 79:[37, 11, 26, 42], Operations: []
Exploring Operation: 37-26=11, Resulting Numbers: [11, 42, 11]
Generated Node #2: [11, 42, 11] from Operation: 37-26=11
Current State: 79:[11, 42, 11], Operations: ['37-26=11']
Exploring Operation: 11*11=121, Resulting Numbers: [42, 121]
Generated Node #3: [42, 121] from Operation: 11*11=121
Current State: 79:[42, 121], Operations: ['37-26=11', '11*11=121']
Exploring Operation: 121-42=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
24,
55,
63,
49
] | 59 | [
"55-49=6",
"24/6=4",
"63-4=59"
] | Current State: 59:[24, 55, 63, 49], Operations: []
Exploring Operation: 55-49=6, Resulting Numbers: [24, 63, 6]
Generated Node #2: [24, 63, 6] from Operation: 55-49=6
Current State: 59:[24, 63, 6], Operations: ['55-49=6']
Exploring Operation: 24/6=4, Resulting Numbers: [63, 4]
Generated Node #3: [63, 4] from Operation: 24/6=4
Current State: 59:[63, 4], Operations: ['55-49=6', '24/6=4']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
59,
26,
96,
1
] | 64 | [
"59-26=33",
"96+1=97",
"97-33=64"
] | Current State: 64:[59, 26, 96, 1], Operations: []
Exploring Operation: 59-26=33, Resulting Numbers: [96, 1, 33]
Generated Node #2: [96, 1, 33] from Operation: 59-26=33
Current State: 64:[96, 1, 33], Operations: ['59-26=33']
Exploring Operation: 96+1=97, Resulting Numbers: [33, 97]
Generated Node #3: [33, 97] from Operation: 96+1=97
Current State: 64:[33, 97], Operations: ['59-26=33', '96+1=97']
Exploring Operation: 97-33=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
18,
36,
37,
59
] | 20 | [
"36/18=2",
"59-37=22",
"22-2=20"
] | Current State: 20:[18, 36, 37, 59], Operations: []
Exploring Operation: 36/18=2, Resulting Numbers: [37, 59, 2]
Generated Node #2: [37, 59, 2] from Operation: 36/18=2
Current State: 20:[37, 59, 2], Operations: ['36/18=2']
Exploring Operation: 59-37=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 59-37=22
Current State: 20:[2, 22], Operations: ['36/18=2', '59-37=22']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
87,
7,
52,
91
] | 63 | [
"87-7=80",
"52+91=143",
"143-80=63"
] | Current State: 63:[87, 7, 52, 91], Operations: []
Exploring Operation: 87-7=80, Resulting Numbers: [52, 91, 80]
Generated Node #2: [52, 91, 80] from Operation: 87-7=80
Current State: 63:[52, 91, 80], Operations: ['87-7=80']
Exploring Operation: 52+91=143, Resulting Numbers: [80, 143]
Generated Node #3: [80, 143] from Operation: 52+91=143
Current State: 63:[80, 143], Operations: ['87-7=80', '52+91=143']
Exploring Operation: 143-80=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
65,
54,
39,
45
] | 74 | [
"45-39=6",
"54/6=9",
"65+9=74"
] | Current State: 74:[65, 54, 39, 45], Operations: []
Exploring Operation: 45-39=6, Resulting Numbers: [65, 54, 6]
Generated Node #2: [65, 54, 6] from Operation: 45-39=6
Current State: 74:[65, 54, 6], Operations: ['45-39=6']
Exploring Operation: 54/6=9, Resulting Numbers: [65, 9]
Generated Node #3: [65, 9] from Operation: 54/6=9
Current State: 74:[65, 9], Operations: ['45-39=6', '54/6=9']
Exploring Operation: 65+9=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
16,
53,
36,
83
] | 10 | [
"53-16=37",
"83-36=47",
"47-37=10"
] | Current State: 10:[16, 53, 36, 83], Operations: []
Exploring Operation: 53-16=37, Resulting Numbers: [36, 83, 37]
Generated Node #2: [36, 83, 37] from Operation: 53-16=37
Current State: 10:[36, 83, 37], Operations: ['53-16=37']
Exploring Operation: 83-36=47, Resulting Numbers: [37, 47]
Generated Node #3: [37, 47] from Operation: 83-36=47
Current State: 10:[37, 47], Operations: ['53-16=37', '83-36=47']
Exploring Operation: 47-37=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
32,
84,
74,
36
] | 58 | [
"84-32=52",
"74+36=110",
"110-52=58"
] | Current State: 58:[32, 84, 74, 36], Operations: []
Exploring Operation: 84-32=52, Resulting Numbers: [74, 36, 52]
Generated Node #2: [74, 36, 52] from Operation: 84-32=52
Current State: 58:[74, 36, 52], Operations: ['84-32=52']
Exploring Operation: 74+36=110, Resulting Numbers: [52, 110]
Generated Node #3: [52, 110] from Operation: 74+36=110
Current State: 58:[52, 110], Operations: ['84-32=52', '74+36=110']
Exploring Operation: 110-52=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
4,
7,
13,
78
] | 19 | [
"4*13=52",
"78-7=71",
"71-52=19"
] | Current State: 19:[4, 7, 13, 78], Operations: []
Exploring Operation: 4*13=52, Resulting Numbers: [7, 78, 52]
Generated Node #2: [7, 78, 52] from Operation: 4*13=52
Current State: 19:[7, 78, 52], Operations: ['4*13=52']
Exploring Operation: 78-7=71, Resulting Numbers: [52, 71]
Generated Node #3: [52, 71] from Operation: 78-7=71
Current State: 19:[52, 71], Operations: ['4*13=52', '78-7=71']
Exploring Operation: 71-52=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
18,
58,
74,
55
] | 57 | [
"18+58=76",
"74-55=19",
"76-19=57"
] | Current State: 57:[18, 58, 74, 55], Operations: []
Exploring Operation: 18+58=76, Resulting Numbers: [74, 55, 76]
Generated Node #2: [74, 55, 76] from Operation: 18+58=76
Current State: 57:[74, 55, 76], Operations: ['18+58=76']
Exploring Operation: 74-55=19, Resulting Numbers: [76, 19]
Generated Node #3: [76, 19] from Operation: 74-55=19
Current State: 57:[76, 19], Operations: ['18+58=76', '74-55=19']
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
18,
16,
28,
7
] | 38 | [
"18+16=34",
"28/7=4",
"34+4=38"
] | Current State: 38:[18, 16, 28, 7], Operations: []
Exploring Operation: 18+16=34, Resulting Numbers: [28, 7, 34]
Generated Node #2: [28, 7, 34] from Operation: 18+16=34
Current State: 38:[28, 7, 34], Operations: ['18+16=34']
Exploring Operation: 28/7=4, Resulting Numbers: [34, 4]
Generated Node #3: [34, 4] from Operation: 28/7=4
Current State: 38:[34, 4], Operations: ['18+16=34', '28/7=4']
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
42,
85,
21,
42
] | 89 | [
"42+42=84",
"84/21=4",
"85+4=89"
] | Current State: 89:[42, 85, 21, 42], Operations: []
Exploring Operation: 42+42=84, Resulting Numbers: [85, 21, 84]
Generated Node #2: [85, 21, 84] from Operation: 42+42=84
Current State: 89:[85, 21, 84], Operations: ['42+42=84']
Exploring Operation: 84/21=4, Resulting Numbers: [85, 4]
Generated Node #3: [85, 4] from Operation: 84/21=4
Current State: 89:[85, 4], Operations: ['42+42=84', '84/21=4']
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
84,
67,
47,
87
] | 23 | [
"84-67=17",
"87-47=40",
"40-17=23"
] | Current State: 23:[84, 67, 47, 87], Operations: []
Exploring Operation: 84-67=17, Resulting Numbers: [47, 87, 17]
Generated Node #2: [47, 87, 17] from Operation: 84-67=17
Current State: 23:[47, 87, 17], Operations: ['84-67=17']
Exploring Operation: 87-47=40, Resulting Numbers: [17, 40]
Generated Node #3: [17, 40] from Operation: 87-47=40
Current State: 23:[17, 40], Operations: ['84-67=17', '87-47=40']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
86,
62,
30,
55
] | 49 | [
"86-62=24",
"55-30=25",
"24+25=49"
] | Current State: 49:[86, 62, 30, 55], Operations: []
Exploring Operation: 86-62=24, Resulting Numbers: [30, 55, 24]
Generated Node #2: [30, 55, 24] from Operation: 86-62=24
Current State: 49:[30, 55, 24], Operations: ['86-62=24']
Exploring Operation: 55-30=25, Resulting Numbers: [24, 25]
Generated Node #3: [24, 25] from Operation: 55-30=25
Current State: 49:[24, 25], Operations: ['86-62=24', '55-30=25']
Exploring Operation: 24+25=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
81,
97,
57,
24
] | 97 | [
"81+97=178",
"57+24=81",
"178-81=97"
] | Current State: 97:[81, 97, 57, 24], Operations: []
Exploring Operation: 81+97=178, Resulting Numbers: [57, 24, 178]
Generated Node #2: [57, 24, 178] from Operation: 81+97=178
Current State: 97:[57, 24, 178], Operations: ['81+97=178']
Exploring Operation: 57+24=81, Resulting Numbers: [178, 81]
Generated Node #3: [178, 81] from Operation: 57+24=81
Current State: 97:[178, 81], Operations: ['81+97=178', '57+24=81']
Exploring Operation: 178-81=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
35,
59,
70,
31
] | 15 | [
"59-35=24",
"70-31=39",
"39-24=15"
] | Current State: 15:[35, 59, 70, 31], Operations: []
Exploring Operation: 59-35=24, Resulting Numbers: [70, 31, 24]
Generated Node #2: [70, 31, 24] from Operation: 59-35=24
Current State: 15:[70, 31, 24], Operations: ['59-35=24']
Exploring Operation: 70-31=39, Resulting Numbers: [24, 39]
Generated Node #3: [24, 39] from Operation: 70-31=39
Current State: 15:[24, 39], Operations: ['59-35=24', '70-31=39']
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
40,
31,
16,
18
] | 18 | [
"40-31=9",
"18-16=2",
"9*2=18"
] | Current State: 18:[40, 31, 16, 18], Operations: []
Exploring Operation: 40-31=9, Resulting Numbers: [16, 18, 9]
Generated Node #2: [16, 18, 9] from Operation: 40-31=9
Current State: 18:[16, 18, 9], Operations: ['40-31=9']
Exploring Operation: 18-16=2, Resulting Numbers: [9, 2]
Generated Node #3: [9, 2] from Operation: 18-16=2
Current State: 18:[9, 2], Operations: ['40-31=9', '18-16=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
4,
8,
10,
14
] | 16 | [
"4+8=12",
"14-10=4",
"12+4=16"
] | Current State: 16:[4, 8, 10, 14], Operations: []
Exploring Operation: 4+8=12, Resulting Numbers: [10, 14, 12]
Generated Node #2: [10, 14, 12] from Operation: 4+8=12
Current State: 16:[10, 14, 12], Operations: ['4+8=12']
Exploring Operation: 14-10=4, Resulting Numbers: [12, 4]
Generated Node #3: [12, 4] from Operation: 14-10=4
Current State: 16:[12, 4], Operations: ['4+8=12', '14-10=4']
Exploring Operation: 12+4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
45,
85,
2,
9
] | 29 | [
"85-45=40",
"2+9=11",
"40-11=29"
] | Current State: 29:[45, 85, 2, 9], Operations: []
Exploring Operation: 85-45=40, Resulting Numbers: [2, 9, 40]
Generated Node #2: [2, 9, 40] from Operation: 85-45=40
Current State: 29:[2, 9, 40], Operations: ['85-45=40']
Exploring Operation: 2+9=11, Resulting Numbers: [40, 11]
Generated Node #3: [40, 11] from Operation: 2+9=11
Current State: 29:[40, 11], Operations: ['85-45=40', '2+9=11']
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
68,
87,
59,
65
] | 25 | [
"87-68=19",
"65-59=6",
"19+6=25"
] | Current State: 25:[68, 87, 59, 65], Operations: []
Exploring Operation: 87-68=19, Resulting Numbers: [59, 65, 19]
Generated Node #2: [59, 65, 19] from Operation: 87-68=19
Current State: 25:[59, 65, 19], Operations: ['87-68=19']
Exploring Operation: 65-59=6, Resulting Numbers: [19, 6]
Generated Node #3: [19, 6] from Operation: 65-59=6
Current State: 25:[19, 6], Operations: ['87-68=19', '65-59=6']
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
45,
15,
16,
93
] | 48 | [
"45*15=675",
"93+675=768",
"768/16=48"
] | Current State: 48:[45, 15, 16, 93], Operations: []
Exploring Operation: 45*15=675, Resulting Numbers: [16, 93, 675]
Generated Node #2: [16, 93, 675] from Operation: 45*15=675
Current State: 48:[16, 93, 675], Operations: ['45*15=675']
Exploring Operation: 93+675=768, Resulting Numbers: [16, 768]
Generated Node #3: [16, 768] from Operation: 93+675=768
Current State: 48:[16, 768], Operations: ['45*15=675', '93+675=768']
Exploring Operation: 768/16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
60,
59,
4,
43
] | 38 | [
"60-59=1",
"43-4=39",
"39-1=38"
] | Current State: 38:[60, 59, 4, 43], Operations: []
Exploring Operation: 60-59=1, Resulting Numbers: [4, 43, 1]
Generated Node #2: [4, 43, 1] from Operation: 60-59=1
Current State: 38:[4, 43, 1], Operations: ['60-59=1']
Exploring Operation: 43-4=39, Resulting Numbers: [1, 39]
Generated Node #3: [1, 39] from Operation: 43-4=39
Current State: 38:[1, 39], Operations: ['60-59=1', '43-4=39']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
16,
38,
59,
76
] | 27 | [
"16*76=1216",
"1216/38=32",
"59-32=27"
] | Current State: 27:[16, 38, 59, 76], Operations: []
Exploring Operation: 16*76=1216, Resulting Numbers: [38, 59, 1216]
Generated Node #2: [38, 59, 1216] from Operation: 16*76=1216
Current State: 27:[38, 59, 1216], Operations: ['16*76=1216']
Exploring Operation: 1216/38=32, Resulting Numbers: [59, 32]
Generated Node #3: [59, 32] from Operation: 1216/38=32
Current State: 27:[59, 32], Operations: ['16*76=1216', '1216/38=32']
Exploring Operation: 59-32=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
27,
67,
8,
48
] | 95 | [
"27*48=1296",
"1296/8=162",
"162-67=95"
] | Current State: 95:[27, 67, 8, 48], Operations: []
Exploring Operation: 27*48=1296, Resulting Numbers: [67, 8, 1296]
Generated Node #2: [67, 8, 1296] from Operation: 27*48=1296
Current State: 95:[67, 8, 1296], Operations: ['27*48=1296']
Exploring Operation: 1296/8=162, Resulting Numbers: [67, 162]
Generated Node #3: [67, 162] from Operation: 1296/8=162
Current State: 95:[67, 162], Operations: ['27*48=1296', '1296/8=162']
Exploring Operation: 162-67=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
57,
2,
49,
3
] | 80 | [
"49-3=46",
"46/2=23",
"57+23=80"
] | Current State: 80:[57, 2, 49, 3], Operations: []
Exploring Operation: 49-3=46, Resulting Numbers: [57, 2, 46]
Generated Node #2: [57, 2, 46] from Operation: 49-3=46
Current State: 80:[57, 2, 46], Operations: ['49-3=46']
Exploring Operation: 46/2=23, Resulting Numbers: [57, 23]
Generated Node #3: [57, 23] from Operation: 46/2=23
Current State: 80:[57, 23], Operations: ['49-3=46', '46/2=23']
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
94,
77,
32,
93
] | 45 | [
"94-93=1",
"77-32=45",
"1*45=45"
] | Current State: 45:[94, 77, 32, 93], Operations: []
Exploring Operation: 94-93=1, Resulting Numbers: [77, 32, 1]
Generated Node #2: [77, 32, 1] from Operation: 94-93=1
Current State: 45:[77, 32, 1], Operations: ['94-93=1']
Exploring Operation: 77-32=45, Resulting Numbers: [1, 45]
Generated Node #3: [1, 45] from Operation: 77-32=45
Current State: 45:[1, 45], Operations: ['94-93=1', '77-32=45']
Exploring Operation: 1*45=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
29,
64,
16,
40
] | 15 | [
"40-29=11",
"64/16=4",
"11+4=15"
] | Current State: 15:[29, 64, 16, 40], Operations: []
Exploring Operation: 40-29=11, Resulting Numbers: [64, 16, 11]
Generated Node #2: [64, 16, 11] from Operation: 40-29=11
Current State: 15:[64, 16, 11], Operations: ['40-29=11']
Exploring Operation: 64/16=4, Resulting Numbers: [11, 4]
Generated Node #3: [11, 4] from Operation: 64/16=4
Current State: 15:[11, 4], Operations: ['40-29=11', '64/16=4']
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
52,
46,
52,
95
] | 95 | [
"52-52=0",
"46*0=0",
"95+0=95"
] | Current State: 95:[52, 46, 52, 95], Operations: []
Exploring Operation: 52-52=0, Resulting Numbers: [46, 95, 0]
Generated Node #2: [46, 95, 0] from Operation: 52-52=0
Current State: 95:[46, 95, 0], Operations: ['52-52=0']
Exploring Operation: 46*0=0, Resulting Numbers: [95, 0]
Generated Node #3: [95, 0] from Operation: 46*0=0
Current State: 95:[95, 0], Operations: ['52-52=0', '46*0=0']
Exploring Operation: 95+0=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
49,
2,
47,
22
] | 52 | [
"49+47=96",
"2*22=44",
"96-44=52"
] | Current State: 52:[49, 2, 47, 22], Operations: []
Exploring Operation: 49+47=96, Resulting Numbers: [2, 22, 96]
Generated Node #2: [2, 22, 96] from Operation: 49+47=96
Current State: 52:[2, 22, 96], Operations: ['49+47=96']
Exploring Operation: 2*22=44, Resulting Numbers: [96, 44]
Generated Node #3: [96, 44] from Operation: 2*22=44
Current State: 52:[96, 44], Operations: ['49+47=96', '2*22=44']
Exploring Operation: 96-44=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
72,
39,
28,
89
] | 28 | [
"72-39=33",
"89-28=61",
"61-33=28"
] | Current State: 28:[72, 39, 28, 89], Operations: []
Exploring Operation: 72-39=33, Resulting Numbers: [28, 89, 33]
Generated Node #2: [28, 89, 33] from Operation: 72-39=33
Current State: 28:[28, 89, 33], Operations: ['72-39=33']
Exploring Operation: 89-28=61, Resulting Numbers: [33, 61]
Generated Node #3: [33, 61] from Operation: 89-28=61
Current State: 28:[33, 61], Operations: ['72-39=33', '89-28=61']
Exploring Operation: 61-33=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
21,
98,
99,
36
] | 69 | [
"98*36=3528",
"3528/21=168",
"168-99=69"
] | Current State: 69:[21, 98, 99, 36], Operations: []
Exploring Operation: 98*36=3528, Resulting Numbers: [21, 99, 3528]
Generated Node #2: [21, 99, 3528] from Operation: 98*36=3528
Current State: 69:[21, 99, 3528], Operations: ['98*36=3528']
Exploring Operation: 3528/21=168, Resulting Numbers: [99, 168]
Generated Node #3: [99, 168] from Operation: 3528/21=168
Current State: 69:[99, 168], Operations: ['98*36=3528', '3528/21=168']
Exploring Operation: 168-99=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
11,
3,
5,
93
] | 24 | [
"11*5=55",
"93/3=31",
"55-31=24"
] | Current State: 24:[11, 3, 5, 93], Operations: []
Exploring Operation: 11*5=55, Resulting Numbers: [3, 93, 55]
Generated Node #2: [3, 93, 55] from Operation: 11*5=55
Current State: 24:[3, 93, 55], Operations: ['11*5=55']
Exploring Operation: 93/3=31, Resulting Numbers: [55, 31]
Generated Node #3: [55, 31] from Operation: 93/3=31
Current State: 24:[55, 31], Operations: ['11*5=55', '93/3=31']
Exploring Operation: 55-31=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
8,
84,
29,
54
] | 51 | [
"84-8=76",
"54-29=25",
"76-25=51"
] | Current State: 51:[8, 84, 29, 54], Operations: []
Exploring Operation: 84-8=76, Resulting Numbers: [29, 54, 76]
Generated Node #2: [29, 54, 76] from Operation: 84-8=76
Current State: 51:[29, 54, 76], Operations: ['84-8=76']
Exploring Operation: 54-29=25, Resulting Numbers: [76, 25]
Generated Node #3: [76, 25] from Operation: 54-29=25
Current State: 51:[76, 25], Operations: ['84-8=76', '54-29=25']
Exploring Operation: 76-25=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
43,
82,
96,
86
] | 49 | [
"82-43=39",
"96-86=10",
"39+10=49"
] | Current State: 49:[43, 82, 96, 86], Operations: []
Exploring Operation: 82-43=39, Resulting Numbers: [96, 86, 39]
Generated Node #2: [96, 86, 39] from Operation: 82-43=39
Current State: 49:[96, 86, 39], Operations: ['82-43=39']
Exploring Operation: 96-86=10, Resulting Numbers: [39, 10]
Generated Node #3: [39, 10] from Operation: 96-86=10
Current State: 49:[39, 10], Operations: ['82-43=39', '96-86=10']
Exploring Operation: 39+10=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
59,
45,
70,
2
] | 93 | [
"59*2=118",
"70-45=25",
"118-25=93"
] | Current State: 93:[59, 45, 70, 2], Operations: []
Exploring Operation: 59*2=118, Resulting Numbers: [45, 70, 118]
Generated Node #2: [45, 70, 118] from Operation: 59*2=118
Current State: 93:[45, 70, 118], Operations: ['59*2=118']
Exploring Operation: 70-45=25, Resulting Numbers: [118, 25]
Generated Node #3: [118, 25] from Operation: 70-45=25
Current State: 93:[118, 25], Operations: ['59*2=118', '70-45=25']
Exploring Operation: 118-25=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
2,
21,
84,
54
] | 14 | [
"2+54=56",
"84/21=4",
"56/4=14"
] | Current State: 14:[2, 21, 84, 54], Operations: []
Exploring Operation: 2+54=56, Resulting Numbers: [21, 84, 56]
Generated Node #2: [21, 84, 56] from Operation: 2+54=56
Current State: 14:[21, 84, 56], Operations: ['2+54=56']
Exploring Operation: 84/21=4, Resulting Numbers: [56, 4]
Generated Node #3: [56, 4] from Operation: 84/21=4
Current State: 14:[56, 4], Operations: ['2+54=56', '84/21=4']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
85,
51,
71,
2
] | 35 | [
"85-51=34",
"71-2=69",
"69-34=35"
] | Current State: 35:[85, 51, 71, 2], Operations: []
Exploring Operation: 85-51=34, Resulting Numbers: [71, 2, 34]
Generated Node #2: [71, 2, 34] from Operation: 85-51=34
Current State: 35:[71, 2, 34], Operations: ['85-51=34']
Exploring Operation: 71-2=69, Resulting Numbers: [34, 69]
Generated Node #3: [34, 69] from Operation: 71-2=69
Current State: 35:[34, 69], Operations: ['85-51=34', '71-2=69']
Exploring Operation: 69-34=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
56,
41,
53,
62
] | 100 | [
"56-41=15",
"53+62=115",
"115-15=100"
] | Current State: 100:[56, 41, 53, 62], Operations: []
Exploring Operation: 56-41=15, Resulting Numbers: [53, 62, 15]
Generated Node #2: [53, 62, 15] from Operation: 56-41=15
Current State: 100:[53, 62, 15], Operations: ['56-41=15']
Exploring Operation: 53+62=115, Resulting Numbers: [15, 115]
Generated Node #3: [15, 115] from Operation: 53+62=115
Current State: 100:[15, 115], Operations: ['56-41=15', '53+62=115']
Exploring Operation: 115-15=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
71,
3,
46,
71
] | 96 | [
"71*3=213",
"46+71=117",
"213-117=96"
] | Current State: 96:[71, 3, 46, 71], Operations: []
Exploring Operation: 71*3=213, Resulting Numbers: [46, 213]
Generated Node #2: [46, 213] from Operation: 71*3=213
Current State: 96:[46, 213], Operations: ['71*3=213']
Exploring Operation: 46+71=117, Resulting Numbers: [213, 117]
Generated Node #3: [213, 117] from Operation: 46+71=117
Current State: 96:[213, 117], Operations: ['71*3=213', '46+71=117']
Exploring Operation: 213-117=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
13,
6,
82,
16
] | 84 | [
"16-13=3",
"6/3=2",
"82+2=84"
] | Current State: 84:[13, 6, 82, 16], Operations: []
Exploring Operation: 16-13=3, Resulting Numbers: [6, 82, 3]
Generated Node #2: [6, 82, 3] from Operation: 16-13=3
Current State: 84:[6, 82, 3], Operations: ['16-13=3']
Exploring Operation: 6/3=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 6/3=2
Current State: 84:[82, 2], Operations: ['16-13=3', '6/3=2']
Exploring Operation: 82+2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
30,
6,
90,
15
] | 51 | [
"30-6=24",
"90-15=75",
"75-24=51"
] | Current State: 51:[30, 6, 90, 15], Operations: []
Exploring Operation: 30-6=24, Resulting Numbers: [90, 15, 24]
Generated Node #2: [90, 15, 24] from Operation: 30-6=24
Current State: 51:[90, 15, 24], Operations: ['30-6=24']
Exploring Operation: 90-15=75, Resulting Numbers: [24, 75]
Generated Node #3: [24, 75] from Operation: 90-15=75
Current State: 51:[24, 75], Operations: ['30-6=24', '90-15=75']
Exploring Operation: 75-24=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
46,
58,
72,
45
] | 39 | [
"58-46=12",
"72-45=27",
"12+27=39"
] | Current State: 39:[46, 58, 72, 45], Operations: []
Exploring Operation: 58-46=12, Resulting Numbers: [72, 45, 12]
Generated Node #2: [72, 45, 12] from Operation: 58-46=12
Current State: 39:[72, 45, 12], Operations: ['58-46=12']
Exploring Operation: 72-45=27, Resulting Numbers: [12, 27]
Generated Node #3: [12, 27] from Operation: 72-45=27
Current State: 39:[12, 27], Operations: ['58-46=12', '72-45=27']
Exploring Operation: 12+27=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
56,
39,
21,
8
] | 59 | [
"21-8=13",
"39/13=3",
"56+3=59"
] | Current State: 59:[56, 39, 21, 8], Operations: []
Exploring Operation: 21-8=13, Resulting Numbers: [56, 39, 13]
Generated Node #2: [56, 39, 13] from Operation: 21-8=13
Current State: 59:[56, 39, 13], Operations: ['21-8=13']
Exploring Operation: 39/13=3, Resulting Numbers: [56, 3]
Generated Node #3: [56, 3] from Operation: 39/13=3
Current State: 59:[56, 3], Operations: ['21-8=13', '39/13=3']
Exploring Operation: 56+3=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
20,
7,
61,
2
] | 24 | [
"20-7=13",
"61-13=48",
"48/2=24"
] | Current State: 24:[20, 7, 61, 2], Operations: []
Exploring Operation: 20-7=13, Resulting Numbers: [61, 2, 13]
Generated Node #2: [61, 2, 13] from Operation: 20-7=13
Current State: 24:[61, 2, 13], Operations: ['20-7=13']
Exploring Operation: 61-13=48, Resulting Numbers: [2, 48]
Generated Node #3: [2, 48] from Operation: 61-13=48
Current State: 24:[2, 48], Operations: ['20-7=13', '61-13=48']
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
36,
32,
80,
10
] | 61 | [
"80*10=800",
"800/32=25",
"36+25=61"
] | Current State: 61:[36, 32, 80, 10], Operations: []
Exploring Operation: 80*10=800, Resulting Numbers: [36, 32, 800]
Generated Node #2: [36, 32, 800] from Operation: 80*10=800
Current State: 61:[36, 32, 800], Operations: ['80*10=800']
Exploring Operation: 800/32=25, Resulting Numbers: [36, 25]
Generated Node #3: [36, 25] from Operation: 800/32=25
Current State: 61:[36, 25], Operations: ['80*10=800', '800/32=25']
Exploring Operation: 36+25=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
14,
9,
90,
47
] | 51 | [
"14+47=61",
"90/9=10",
"61-10=51"
] | Current State: 51:[14, 9, 90, 47], Operations: []
Exploring Operation: 14+47=61, Resulting Numbers: [9, 90, 61]
Generated Node #2: [9, 90, 61] from Operation: 14+47=61
Current State: 51:[9, 90, 61], Operations: ['14+47=61']
Exploring Operation: 90/9=10, Resulting Numbers: [61, 10]
Generated Node #3: [61, 10] from Operation: 90/9=10
Current State: 51:[61, 10], Operations: ['14+47=61', '90/9=10']
Exploring Operation: 61-10=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
92,
33,
47,
52
] | 25 | [
"92+33=125",
"52-47=5",
"125/5=25"
] | Current State: 25:[92, 33, 47, 52], Operations: []
Exploring Operation: 92+33=125, Resulting Numbers: [47, 52, 125]
Generated Node #2: [47, 52, 125] from Operation: 92+33=125
Current State: 25:[47, 52, 125], Operations: ['92+33=125']
Exploring Operation: 52-47=5, Resulting Numbers: [125, 5]
Generated Node #3: [125, 5] from Operation: 52-47=5
Current State: 25:[125, 5], Operations: ['92+33=125', '52-47=5']
Exploring Operation: 125/5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
40,
39,
28,
33
] | 18 | [
"40+39=79",
"28+33=61",
"79-61=18"
] | Current State: 18:[40, 39, 28, 33], Operations: []
Exploring Operation: 40+39=79, Resulting Numbers: [28, 33, 79]
Generated Node #2: [28, 33, 79] from Operation: 40+39=79
Current State: 18:[28, 33, 79], Operations: ['40+39=79']
Exploring Operation: 28+33=61, Resulting Numbers: [79, 61]
Generated Node #3: [79, 61] from Operation: 28+33=61
Current State: 18:[79, 61], Operations: ['40+39=79', '28+33=61']
Exploring Operation: 79-61=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
95,
83,
92,
93
] | 74 | [
"95-93=2",
"83*2=166",
"166-92=74"
] | Current State: 74:[95, 83, 92, 93], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [83, 92, 2]
Generated Node #2: [83, 92, 2] from Operation: 95-93=2
Current State: 74:[83, 92, 2], Operations: ['95-93=2']
Exploring Operation: 83*2=166, Resulting Numbers: [92, 166]
Generated Node #3: [92, 166] from Operation: 83*2=166
Current State: 74:[92, 166], Operations: ['95-93=2', '83*2=166']
Exploring Operation: 166-92=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
80,
78,
25,
13
] | 40 | [
"80-78=2",
"25+13=38",
"2+38=40"
] | Current State: 40:[80, 78, 25, 13], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [25, 13, 2]
Generated Node #2: [25, 13, 2] from Operation: 80-78=2
Current State: 40:[25, 13, 2], Operations: ['80-78=2']
Exploring Operation: 25+13=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 25+13=38
Current State: 40:[2, 38], Operations: ['80-78=2', '25+13=38']
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
8,
9,
72,
88
] | 27 | [
"88/8=11",
"9*11=99",
"99-72=27"
] | Current State: 27:[8, 9, 72, 88], Operations: []
Exploring Operation: 88/8=11, Resulting Numbers: [9, 72, 11]
Generated Node #2: [9, 72, 11] from Operation: 88/8=11
Current State: 27:[9, 72, 11], Operations: ['88/8=11']
Exploring Operation: 9*11=99, Resulting Numbers: [72, 99]
Generated Node #3: [72, 99] from Operation: 9*11=99
Current State: 27:[72, 99], Operations: ['88/8=11', '9*11=99']
Exploring Operation: 99-72=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
24,
59,
93,
9
] | 72 | [
"24+93=117",
"117/9=13",
"59+13=72"
] | Current State: 72:[24, 59, 93, 9], Operations: []
Exploring Operation: 24+93=117, Resulting Numbers: [59, 9, 117]
Generated Node #2: [59, 9, 117] from Operation: 24+93=117
Current State: 72:[59, 9, 117], Operations: ['24+93=117']
Exploring Operation: 117/9=13, Resulting Numbers: [59, 13]
Generated Node #3: [59, 13] from Operation: 117/9=13
Current State: 72:[59, 13], Operations: ['24+93=117', '117/9=13']
Exploring Operation: 59+13=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
57,
61,
62,
68
] | 10 | [
"61-57=4",
"68-62=6",
"4+6=10"
] | Current State: 10:[57, 61, 62, 68], Operations: []
Exploring Operation: 61-57=4, Resulting Numbers: [62, 68, 4]
Generated Node #2: [62, 68, 4] from Operation: 61-57=4
Current State: 10:[62, 68, 4], Operations: ['61-57=4']
Exploring Operation: 68-62=6, Resulting Numbers: [4, 6]
Generated Node #3: [4, 6] from Operation: 68-62=6
Current State: 10:[4, 6], Operations: ['61-57=4', '68-62=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
6,
58,
84,
58
] | 77 | [
"84-6=78",
"58/58=1",
"78-1=77"
] | Current State: 77:[6, 58, 84, 58], Operations: []
Exploring Operation: 84-6=78, Resulting Numbers: [58, 58, 78]
Generated Node #2: [58, 58, 78] from Operation: 84-6=78
Current State: 77:[58, 58, 78], Operations: ['84-6=78']
Exploring Operation: 58/58=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 58/58=1
Current State: 77:[78, 1], Operations: ['84-6=78', '58/58=1']
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
48,
38,
53,
56
] | 66 | [
"56-53=3",
"38*3=114",
"114-48=66"
] | Current State: 66:[48, 38, 53, 56], Operations: []
Exploring Operation: 56-53=3, Resulting Numbers: [48, 38, 3]
Generated Node #2: [48, 38, 3] from Operation: 56-53=3
Current State: 66:[48, 38, 3], Operations: ['56-53=3']
Exploring Operation: 38*3=114, Resulting Numbers: [48, 114]
Generated Node #3: [48, 114] from Operation: 38*3=114
Current State: 66:[48, 114], Operations: ['56-53=3', '38*3=114']
Exploring Operation: 114-48=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
45,
90,
89,
22
] | 78 | [
"90/45=2",
"22/2=11",
"89-11=78"
] | Current State: 78:[45, 90, 89, 22], Operations: []
Exploring Operation: 90/45=2, Resulting Numbers: [89, 22, 2]
Generated Node #2: [89, 22, 2] from Operation: 90/45=2
Current State: 78:[89, 22, 2], Operations: ['90/45=2']
Exploring Operation: 22/2=11, Resulting Numbers: [89, 11]
Generated Node #3: [89, 11] from Operation: 22/2=11
Current State: 78:[89, 11], Operations: ['90/45=2', '22/2=11']
Exploring Operation: 89-11=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
51,
87,
72,
72
] | 51 | [
"72-72=0",
"87*0=0",
"51+0=51"
] | Current State: 51:[51, 87, 72, 72], Operations: []
Exploring Operation: 72-72=0, Resulting Numbers: [51, 87, 0]
Generated Node #2: [51, 87, 0] from Operation: 72-72=0
Current State: 51:[51, 87, 0], Operations: ['72-72=0']
Exploring Operation: 87*0=0, Resulting Numbers: [51, 0]
Generated Node #3: [51, 0] from Operation: 87*0=0
Current State: 51:[51, 0], Operations: ['72-72=0', '87*0=0']
Exploring Operation: 51+0=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
84,
45,
94,
39
] | 16 | [
"84-45=39",
"94-39=55",
"55-39=16"
] | Current State: 16:[84, 45, 94, 39], Operations: []
Exploring Operation: 84-45=39, Resulting Numbers: [94, 39, 39]
Generated Node #2: [94, 39, 39] from Operation: 84-45=39
Current State: 16:[94, 39, 39], Operations: ['84-45=39']
Exploring Operation: 94-39=55, Resulting Numbers: [55]
55,16 equal: Goal Reached
Exploring Operation: 55-39=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
29,
25,
58,
92
] | 65 | [
"58/29=2",
"92-25=67",
"67-2=65"
] | Current State: 65:[29, 25, 58, 92], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [25, 92, 2]
Generated Node #2: [25, 92, 2] from Operation: 58/29=2
Current State: 65:[25, 92, 2], Operations: ['58/29=2']
Exploring Operation: 92-25=67, Resulting Numbers: [2, 67]
Generated Node #3: [2, 67] from Operation: 92-25=67
Current State: 65:[2, 67], Operations: ['58/29=2', '92-25=67']
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
48,
25,
20,
24
] | 37 | [
"24-20=4",
"48/4=12",
"25+12=37"
] | Current State: 37:[48, 25, 20, 24], Operations: []
Exploring Operation: 24-20=4, Resulting Numbers: [48, 25, 4]
Generated Node #2: [48, 25, 4] from Operation: 24-20=4
Current State: 37:[48, 25, 4], Operations: ['24-20=4']
Exploring Operation: 48/4=12, Resulting Numbers: [25, 12]
Generated Node #3: [25, 12] from Operation: 48/4=12
Current State: 37:[25, 12], Operations: ['24-20=4', '48/4=12']
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
24,
47,
29,
73
] | 21 | [
"47-24=23",
"73-29=44",
"44-23=21"
] | Current State: 21:[24, 47, 29, 73], Operations: []
Exploring Operation: 47-24=23, Resulting Numbers: [29, 73, 23]
Generated Node #2: [29, 73, 23] from Operation: 47-24=23
Current State: 21:[29, 73, 23], Operations: ['47-24=23']
Exploring Operation: 73-29=44, Resulting Numbers: [23, 44]
Generated Node #3: [23, 44] from Operation: 73-29=44
Current State: 21:[23, 44], Operations: ['47-24=23', '73-29=44']
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
86,
66,
68,
30
] | 18 | [
"86-66=20",
"68-30=38",
"38-20=18"
] | Current State: 18:[86, 66, 68, 30], Operations: []
Exploring Operation: 86-66=20, Resulting Numbers: [68, 30, 20]
Generated Node #2: [68, 30, 20] from Operation: 86-66=20
Current State: 18:[68, 30, 20], Operations: ['86-66=20']
Exploring Operation: 68-30=38, Resulting Numbers: [20, 38]
Generated Node #3: [20, 38] from Operation: 68-30=38
Current State: 18:[20, 38], Operations: ['86-66=20', '68-30=38']
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
59,
8,
7,
9
] | 52 | [
"59-7=52",
"9-8=1",
"52*1=52"
] | Current State: 52:[59, 8, 7, 9], Operations: []
Exploring Operation: 59-7=52, Resulting Numbers: [8, 9, 52]
Generated Node #2: [8, 9, 52] from Operation: 59-7=52
Current State: 52:[8, 9, 52], Operations: ['59-7=52']
Exploring Operation: 9-8=1, Resulting Numbers: [52, 1]
Generated Node #3: [52, 1] from Operation: 9-8=1
Current State: 52:[52, 1], Operations: ['59-7=52', '9-8=1']
Exploring Operation: 52*1=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
3,
51,
59,
44
] | 56 | [
"59-44=15",
"15/3=5",
"51+5=56"
] | Current State: 56:[3, 51, 59, 44], Operations: []
Exploring Operation: 59-44=15, Resulting Numbers: [3, 51, 15]
Generated Node #2: [3, 51, 15] from Operation: 59-44=15
Current State: 56:[3, 51, 15], Operations: ['59-44=15']
Exploring Operation: 15/3=5, Resulting Numbers: [51, 5]
Generated Node #3: [51, 5] from Operation: 15/3=5
Current State: 56:[51, 5], Operations: ['59-44=15', '15/3=5']
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
94,
59,
9,
56
] | 91 | [
"59-56=3",
"9/3=3",
"94-3=91"
] | Current State: 91:[94, 59, 9, 56], Operations: []
Exploring Operation: 59-56=3, Resulting Numbers: [94, 9, 3]
Generated Node #2: [94, 9, 3] from Operation: 59-56=3
Current State: 91:[94, 9, 3], Operations: ['59-56=3']
Exploring Operation: 9/3=3, Resulting Numbers: [94, 3]
Generated Node #3: [94, 3] from Operation: 9/3=3
Current State: 91:[94, 3], Operations: ['59-56=3', '9/3=3']
Exploring Operation: 94-3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
77,
2,
26,
46
] | 82 | [
"77*2=154",
"26+46=72",
"154-72=82"
] | Current State: 82:[77, 2, 26, 46], Operations: []
Exploring Operation: 77*2=154, Resulting Numbers: [26, 46, 154]
Generated Node #2: [26, 46, 154] from Operation: 77*2=154
Current State: 82:[26, 46, 154], Operations: ['77*2=154']
Exploring Operation: 26+46=72, Resulting Numbers: [154, 72]
Generated Node #3: [154, 72] from Operation: 26+46=72
Current State: 82:[154, 72], Operations: ['77*2=154', '26+46=72']
Exploring Operation: 154-72=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
40,
48,
20,
5
] | 41 | [
"40/20=2",
"48-5=43",
"43-2=41"
] | Current State: 41:[40, 48, 20, 5], Operations: []
Exploring Operation: 40/20=2, Resulting Numbers: [48, 5, 2]
Generated Node #2: [48, 5, 2] from Operation: 40/20=2
Current State: 41:[48, 5, 2], Operations: ['40/20=2']
Exploring Operation: 48-5=43, Resulting Numbers: [2, 43]
Generated Node #3: [2, 43] from Operation: 48-5=43
Current State: 41:[2, 43], Operations: ['40/20=2', '48-5=43']
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
41,
63,
42,
13
] | 81 | [
"41+13=54",
"63*54=3402",
"3402/42=81"
] | Current State: 81:[41, 63, 42, 13], Operations: []
Exploring Operation: 41+13=54, Resulting Numbers: [63, 42, 54]
Generated Node #2: [63, 42, 54] from Operation: 41+13=54
Current State: 81:[63, 42, 54], Operations: ['41+13=54']
Exploring Operation: 63*54=3402, Resulting Numbers: [42, 3402]
Generated Node #3: [42, 3402] from Operation: 63*54=3402
Current State: 81:[42, 3402], Operations: ['41+13=54', '63*54=3402']
Exploring Operation: 3402/42=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
10,
87,
78,
82
] | 81 | [
"87-10=77",
"82-78=4",
"77+4=81"
] | Current State: 81:[10, 87, 78, 82], Operations: []
Exploring Operation: 87-10=77, Resulting Numbers: [78, 82, 77]
Generated Node #2: [78, 82, 77] from Operation: 87-10=77
Current State: 81:[78, 82, 77], Operations: ['87-10=77']
Exploring Operation: 82-78=4, Resulting Numbers: [77, 4]
Generated Node #3: [77, 4] from Operation: 82-78=4
Current State: 81:[77, 4], Operations: ['87-10=77', '82-78=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
2,
5,
34,
71
] | 19 | [
"34+71=105",
"105/5=21",
"21-2=19"
] | Current State: 19:[2, 5, 34, 71], Operations: []
Exploring Operation: 34+71=105, Resulting Numbers: [2, 5, 105]
Generated Node #2: [2, 5, 105] from Operation: 34+71=105
Current State: 19:[2, 5, 105], Operations: ['34+71=105']
Exploring Operation: 105/5=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 105/5=21
Current State: 19:[2, 21], Operations: ['34+71=105', '105/5=21']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
87,
4,
93,
12
] | 19 | [
"87+93=180",
"180/12=15",
"4+15=19"
] | Current State: 19:[87, 4, 93, 12], Operations: []
Exploring Operation: 87+93=180, Resulting Numbers: [4, 12, 180]
Generated Node #2: [4, 12, 180] from Operation: 87+93=180
Current State: 19:[4, 12, 180], Operations: ['87+93=180']
Exploring Operation: 180/12=15, Resulting Numbers: [4, 15]
Generated Node #3: [4, 15] from Operation: 180/12=15
Current State: 19:[4, 15], Operations: ['87+93=180', '180/12=15']
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
87,
44,
81,
40
] | 90 | [
"87+44=131",
"81-40=41",
"131-41=90"
] | Current State: 90:[87, 44, 81, 40], Operations: []
Exploring Operation: 87+44=131, Resulting Numbers: [81, 40, 131]
Generated Node #2: [81, 40, 131] from Operation: 87+44=131
Current State: 90:[81, 40, 131], Operations: ['87+44=131']
Exploring Operation: 81-40=41, Resulting Numbers: [131, 41]
Generated Node #3: [131, 41] from Operation: 81-40=41
Current State: 90:[131, 41], Operations: ['87+44=131', '81-40=41']
Exploring Operation: 131-41=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
93,
7,
79,
43
] | 55 | [
"93-79=14",
"7*14=98",
"98-43=55"
] | Current State: 55:[93, 7, 79, 43], Operations: []
Exploring Operation: 93-79=14, Resulting Numbers: [7, 43, 14]
Generated Node #2: [7, 43, 14] from Operation: 93-79=14
Current State: 55:[7, 43, 14], Operations: ['93-79=14']
Exploring Operation: 7*14=98, Resulting Numbers: [43, 98]
Generated Node #3: [43, 98] from Operation: 7*14=98
Current State: 55:[43, 98], Operations: ['93-79=14', '7*14=98']
Exploring Operation: 98-43=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
2,
55,
65,
35
] | 50 | [
"2*35=70",
"55+65=120",
"120-70=50"
] | Current State: 50:[2, 55, 65, 35], Operations: []
Exploring Operation: 2*35=70, Resulting Numbers: [55, 65, 70]
Generated Node #2: [55, 65, 70] from Operation: 2*35=70
Current State: 50:[55, 65, 70], Operations: ['2*35=70']
Exploring Operation: 55+65=120, Resulting Numbers: [70, 120]
Generated Node #3: [70, 120] from Operation: 55+65=120
Current State: 50:[70, 120], Operations: ['2*35=70', '55+65=120']
Exploring Operation: 120-70=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
25,
27,
29,
63
] | 40 | [
"25+27=52",
"29+63=92",
"92-52=40"
] | Current State: 40:[25, 27, 29, 63], Operations: []
Exploring Operation: 25+27=52, Resulting Numbers: [29, 63, 52]
Generated Node #2: [29, 63, 52] from Operation: 25+27=52
Current State: 40:[29, 63, 52], Operations: ['25+27=52']
Exploring Operation: 29+63=92, Resulting Numbers: [52, 92]
Generated Node #3: [52, 92] from Operation: 29+63=92
Current State: 40:[52, 92], Operations: ['25+27=52', '29+63=92']
Exploring Operation: 92-52=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
93,
2,
34,
15
] | 37 | [
"93-34=59",
"15+59=74",
"74/2=37"
] | Current State: 37:[93, 2, 34, 15], Operations: []
Exploring Operation: 93-34=59, Resulting Numbers: [2, 15, 59]
Generated Node #2: [2, 15, 59] from Operation: 93-34=59
Current State: 37:[2, 15, 59], Operations: ['93-34=59']
Exploring Operation: 15+59=74, Resulting Numbers: [2, 74]
Generated Node #3: [2, 74] from Operation: 15+59=74
Current State: 37:[2, 74], Operations: ['93-34=59', '15+59=74']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
64,
19,
35,
58
] | 16 | [
"19+35=54",
"58-54=4",
"64/4=16"
] | Current State: 16:[64, 19, 35, 58], Operations: []
Exploring Operation: 19+35=54, Resulting Numbers: [64, 58, 54]
Generated Node #2: [64, 58, 54] from Operation: 19+35=54
Current State: 16:[64, 58, 54], Operations: ['19+35=54']
Exploring Operation: 58-54=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 58-54=4
Current State: 16:[64, 4], Operations: ['19+35=54', '58-54=4']
Exploring Operation: 64/4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
20,
80,
22,
69
] | 31 | [
"80-20=60",
"22+69=91",
"91-60=31"
] | Current State: 31:[20, 80, 22, 69], Operations: []
Exploring Operation: 80-20=60, Resulting Numbers: [22, 69, 60]
Generated Node #2: [22, 69, 60] from Operation: 80-20=60
Current State: 31:[22, 69, 60], Operations: ['80-20=60']
Exploring Operation: 22+69=91, Resulting Numbers: [60, 91]
Generated Node #3: [60, 91] from Operation: 22+69=91
Current State: 31:[60, 91], Operations: ['80-20=60', '22+69=91']
Exploring Operation: 91-60=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
84,
77,
18,
2
] | 32 | [
"84-77=7",
"2*7=14",
"18+14=32"
] | Current State: 32:[84, 77, 18, 2], Operations: []
Exploring Operation: 84-77=7, Resulting Numbers: [18, 2, 7]
Generated Node #2: [18, 2, 7] from Operation: 84-77=7
Current State: 32:[18, 2, 7], Operations: ['84-77=7']
Exploring Operation: 2*7=14, Resulting Numbers: [18, 14]
Generated Node #3: [18, 14] from Operation: 2*7=14
Current State: 32:[18, 14], Operations: ['84-77=7', '2*7=14']
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
90,
41,
42,
41
] | 49 | [
"90-41=49",
"42-41=1",
"49*1=49"
] | Current State: 49:[90, 41, 42, 41], Operations: []
Exploring Operation: 90-41=49, Resulting Numbers: [42, 49]
Generated Node #2: [42, 49] from Operation: 90-41=49
Current State: 49:[42, 49], Operations: ['90-41=49']
Exploring Operation: 42-41=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 42-41=1
Current State: 49:[49, 1], Operations: ['90-41=49', '42-41=1']
Exploring Operation: 49*1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
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