nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
21,
15,
63,
45
] | 54 | [
"21+15=36",
"63-45=18",
"36+18=54"
] | Current State: 54:[21, 15, 63, 45], Operations: []
Exploring Operation: 21+15=36, Resulting Numbers: [63, 45, 36]
Generated Node #2: [63, 45, 36] from Operation: 21+15=36
Current State: 54:[63, 45, 36], Operations: ['21+15=36']
Exploring Operation: 63-45=18, Resulting Numbers: [36, 18]
Generated Node #3: [36, 18] from Operation: 63-45=18
Current State: 54:[36, 18], Operations: ['21+15=36', '63-45=18']
Exploring Operation: 36+18=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
12,
39,
87,
55
] | 19 | [
"12+39=51",
"87-55=32",
"51-32=19"
] | Current State: 19:[12, 39, 87, 55], Operations: []
Exploring Operation: 12+39=51, Resulting Numbers: [87, 55, 51]
Generated Node #2: [87, 55, 51] from Operation: 12+39=51
Current State: 19:[87, 55, 51], Operations: ['12+39=51']
Exploring Operation: 87-55=32, Resulting Numbers: [51, 32]
Generated Node #3: [51, 32] from Operation: 87-55=32
Current State: 19:[51, 32], Operations: ['12+39=51', '87-55=32']
Exploring Operation: 51-32=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
85,
20,
46,
49
] | 62 | [
"85-20=65",
"49-46=3",
"65-3=62"
] | Current State: 62:[85, 20, 46, 49], Operations: []
Exploring Operation: 85-20=65, Resulting Numbers: [46, 49, 65]
Generated Node #2: [46, 49, 65] from Operation: 85-20=65
Current State: 62:[46, 49, 65], Operations: ['85-20=65']
Exploring Operation: 49-46=3, Resulting Numbers: [65, 3]
Generated Node #3: [65, 3] from Operation: 49-46=3
Current State: 62:[65, 3], Operations: ['85-20=65', '49-46=3']
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
97,
5,
78,
48
] | 65 | [
"97+78=175",
"5*48=240",
"240-175=65"
] | Current State: 65:[97, 5, 78, 48], Operations: []
Exploring Operation: 97+78=175, Resulting Numbers: [5, 48, 175]
Generated Node #2: [5, 48, 175] from Operation: 97+78=175
Current State: 65:[5, 48, 175], Operations: ['97+78=175']
Exploring Operation: 5*48=240, Resulting Numbers: [175, 240]
Generated Node #3: [175, 240] from Operation: 5*48=240
Current State: 65:[175, 240], Operations: ['97+78=175', '5*48=240']
Exploring Operation: 240-175=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
4,
1,
49,
20
] | 54 | [
"4*1=4",
"20/4=5",
"49+5=54"
] | Current State: 54:[4, 1, 49, 20], Operations: []
Exploring Operation: 4*1=4, Resulting Numbers: [49, 20, 4]
Generated Node #2: [49, 20, 4] from Operation: 4*1=4
Current State: 54:[49, 20, 4], Operations: ['4*1=4']
Exploring Operation: 20/4=5, Resulting Numbers: [49, 5]
Generated Node #3: [49, 5] from Operation: 20/4=5
Current State: 54:[49, 5], Operations: ['4*1=4', '20/4=5']
Exploring Operation: 49+5=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
88,
62,
63,
4
] | 23 | [
"88/4=22",
"63-62=1",
"22+1=23"
] | Current State: 23:[88, 62, 63, 4], Operations: []
Exploring Operation: 88/4=22, Resulting Numbers: [62, 63, 22]
Generated Node #2: [62, 63, 22] from Operation: 88/4=22
Current State: 23:[62, 63, 22], Operations: ['88/4=22']
Exploring Operation: 63-62=1, Resulting Numbers: [22, 1]
Generated Node #3: [22, 1] from Operation: 63-62=1
Current State: 23:[22, 1], Operations: ['88/4=22', '63-62=1']
Exploring Operation: 22+1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
3,
82,
16,
1
] | 37 | [
"16-1=15",
"3*15=45",
"82-45=37"
] | Current State: 37:[3, 82, 16, 1], Operations: []
Exploring Operation: 16-1=15, Resulting Numbers: [3, 82, 15]
Generated Node #2: [3, 82, 15] from Operation: 16-1=15
Current State: 37:[3, 82, 15], Operations: ['16-1=15']
Exploring Operation: 3*15=45, Resulting Numbers: [82, 45]
Generated Node #3: [82, 45] from Operation: 3*15=45
Current State: 37:[82, 45], Operations: ['16-1=15', '3*15=45']
Exploring Operation: 82-45=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
61,
96,
82,
68
] | 98 | [
"68-61=7",
"96-82=14",
"7*14=98"
] | Current State: 98:[61, 96, 82, 68], Operations: []
Exploring Operation: 68-61=7, Resulting Numbers: [96, 82, 7]
Generated Node #2: [96, 82, 7] from Operation: 68-61=7
Current State: 98:[96, 82, 7], Operations: ['68-61=7']
Exploring Operation: 96-82=14, Resulting Numbers: [7, 14]
Generated Node #3: [7, 14] from Operation: 96-82=14
Current State: 98:[7, 14], Operations: ['68-61=7', '96-82=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
75,
64,
1,
32
] | 42 | [
"75-64=11",
"32-1=31",
"11+31=42"
] | Current State: 42:[75, 64, 1, 32], Operations: []
Exploring Operation: 75-64=11, Resulting Numbers: [1, 32, 11]
Generated Node #2: [1, 32, 11] from Operation: 75-64=11
Current State: 42:[1, 32, 11], Operations: ['75-64=11']
Exploring Operation: 32-1=31, Resulting Numbers: [11, 31]
Generated Node #3: [11, 31] from Operation: 32-1=31
Current State: 42:[11, 31], Operations: ['75-64=11', '32-1=31']
Exploring Operation: 11+31=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
9,
80,
67,
63
] | 93 | [
"9+80=89",
"67-63=4",
"89+4=93"
] | Current State: 93:[9, 80, 67, 63], Operations: []
Exploring Operation: 9+80=89, Resulting Numbers: [67, 63, 89]
Generated Node #2: [67, 63, 89] from Operation: 9+80=89
Current State: 93:[67, 63, 89], Operations: ['9+80=89']
Exploring Operation: 67-63=4, Resulting Numbers: [89, 4]
Generated Node #3: [89, 4] from Operation: 67-63=4
Current State: 93:[89, 4], Operations: ['9+80=89', '67-63=4']
Exploring Operation: 89+4=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
7,
58,
64,
9
] | 52 | [
"9-7=2",
"58*2=116",
"116-64=52"
] | Current State: 52:[7, 58, 64, 9], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [58, 64, 2]
Generated Node #2: [58, 64, 2] from Operation: 9-7=2
Current State: 52:[58, 64, 2], Operations: ['9-7=2']
Exploring Operation: 58*2=116, Resulting Numbers: [64, 116]
Generated Node #3: [64, 116] from Operation: 58*2=116
Current State: 52:[64, 116], Operations: ['9-7=2', '58*2=116']
Exploring Operation: 116-64=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
75,
2,
69,
26
] | 37 | [
"75+26=101",
"2*69=138",
"138-101=37"
] | Current State: 37:[75, 2, 69, 26], Operations: []
Exploring Operation: 75+26=101, Resulting Numbers: [2, 69, 101]
Generated Node #2: [2, 69, 101] from Operation: 75+26=101
Current State: 37:[2, 69, 101], Operations: ['75+26=101']
Exploring Operation: 2*69=138, Resulting Numbers: [101, 138]
Generated Node #3: [101, 138] from Operation: 2*69=138
Current State: 37:[101, 138], Operations: ['75+26=101', '2*69=138']
Exploring Operation: 138-101=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
56,
3,
9,
76
] | 47 | [
"56+9=65",
"76+65=141",
"141/3=47"
] | Current State: 47:[56, 3, 9, 76], Operations: []
Exploring Operation: 56+9=65, Resulting Numbers: [3, 76, 65]
Generated Node #2: [3, 76, 65] from Operation: 56+9=65
Current State: 47:[3, 76, 65], Operations: ['56+9=65']
Exploring Operation: 76+65=141, Resulting Numbers: [3, 141]
Generated Node #3: [3, 141] from Operation: 76+65=141
Current State: 47:[3, 141], Operations: ['56+9=65', '76+65=141']
Exploring Operation: 141/3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
94,
8,
42,
56
] | 59 | [
"94-42=52",
"56/8=7",
"52+7=59"
] | Current State: 59:[94, 8, 42, 56], Operations: []
Exploring Operation: 94-42=52, Resulting Numbers: [8, 56, 52]
Generated Node #2: [8, 56, 52] from Operation: 94-42=52
Current State: 59:[8, 56, 52], Operations: ['94-42=52']
Exploring Operation: 56/8=7, Resulting Numbers: [52, 7]
Generated Node #3: [52, 7] from Operation: 56/8=7
Current State: 59:[52, 7], Operations: ['94-42=52', '56/8=7']
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
39,
92,
46,
76
] | 24 | [
"46-39=7",
"92+76=168",
"168/7=24"
] | Current State: 24:[39, 92, 46, 76], Operations: []
Exploring Operation: 46-39=7, Resulting Numbers: [92, 76, 7]
Generated Node #2: [92, 76, 7] from Operation: 46-39=7
Current State: 24:[92, 76, 7], Operations: ['46-39=7']
Exploring Operation: 92+76=168, Resulting Numbers: [7, 168]
Generated Node #3: [7, 168] from Operation: 92+76=168
Current State: 24:[7, 168], Operations: ['46-39=7', '92+76=168']
Exploring Operation: 168/7=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
1,
84,
56,
32
] | 47 | [
"84*32=2688",
"2688/56=48",
"48-1=47"
] | Current State: 47:[1, 84, 56, 32], Operations: []
Exploring Operation: 84*32=2688, Resulting Numbers: [1, 56, 2688]
Generated Node #2: [1, 56, 2688] from Operation: 84*32=2688
Current State: 47:[1, 56, 2688], Operations: ['84*32=2688']
Exploring Operation: 2688/56=48, Resulting Numbers: [1, 48]
Generated Node #3: [1, 48] from Operation: 2688/56=48
Current State: 47:[1, 48], Operations: ['84*32=2688', '2688/56=48']
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
65,
36,
86,
24
] | 64 | [
"36*86=3096",
"3096/24=129",
"129-65=64"
] | Current State: 64:[65, 36, 86, 24], Operations: []
Exploring Operation: 36*86=3096, Resulting Numbers: [65, 24, 3096]
Generated Node #2: [65, 24, 3096] from Operation: 36*86=3096
Current State: 64:[65, 24, 3096], Operations: ['36*86=3096']
Exploring Operation: 3096/24=129, Resulting Numbers: [65, 129]
Generated Node #3: [65, 129] from Operation: 3096/24=129
Current State: 64:[65, 129], Operations: ['36*86=3096', '3096/24=129']
Exploring Operation: 129-65=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
32,
13,
16,
7
] | 43 | [
"32+16=48",
"13*7=91",
"91-48=43"
] | Current State: 43:[32, 13, 16, 7], Operations: []
Exploring Operation: 32+16=48, Resulting Numbers: [13, 7, 48]
Generated Node #2: [13, 7, 48] from Operation: 32+16=48
Current State: 43:[13, 7, 48], Operations: ['32+16=48']
Exploring Operation: 13*7=91, Resulting Numbers: [48, 91]
Generated Node #3: [48, 91] from Operation: 13*7=91
Current State: 43:[48, 91], Operations: ['32+16=48', '13*7=91']
Exploring Operation: 91-48=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
72,
54,
86,
75
] | 76 | [
"75-72=3",
"54*3=162",
"162-86=76"
] | Current State: 76:[72, 54, 86, 75], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [54, 86, 3]
Generated Node #2: [54, 86, 3] from Operation: 75-72=3
Current State: 76:[54, 86, 3], Operations: ['75-72=3']
Exploring Operation: 54*3=162, Resulting Numbers: [86, 162]
Generated Node #3: [86, 162] from Operation: 54*3=162
Current State: 76:[86, 162], Operations: ['75-72=3', '54*3=162']
Exploring Operation: 162-86=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
20,
18,
54,
28
] | 88 | [
"20*54=1080",
"1080/18=60",
"28+60=88"
] | Current State: 88:[20, 18, 54, 28], Operations: []
Exploring Operation: 20*54=1080, Resulting Numbers: [18, 28, 1080]
Generated Node #2: [18, 28, 1080] from Operation: 20*54=1080
Current State: 88:[18, 28, 1080], Operations: ['20*54=1080']
Exploring Operation: 1080/18=60, Resulting Numbers: [28, 60]
Generated Node #3: [28, 60] from Operation: 1080/18=60
Current State: 88:[28, 60], Operations: ['20*54=1080', '1080/18=60']
Exploring Operation: 28+60=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
71,
87,
62,
58
] | 38 | [
"71+87=158",
"62+58=120",
"158-120=38"
] | Current State: 38:[71, 87, 62, 58], Operations: []
Exploring Operation: 71+87=158, Resulting Numbers: [62, 58, 158]
Generated Node #2: [62, 58, 158] from Operation: 71+87=158
Current State: 38:[62, 58, 158], Operations: ['71+87=158']
Exploring Operation: 62+58=120, Resulting Numbers: [158, 120]
Generated Node #3: [158, 120] from Operation: 62+58=120
Current State: 38:[158, 120], Operations: ['71+87=158', '62+58=120']
Exploring Operation: 158-120=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
93,
27,
83,
98
] | 22 | [
"98-93=5",
"27+83=110",
"110/5=22"
] | Current State: 22:[93, 27, 83, 98], Operations: []
Exploring Operation: 98-93=5, Resulting Numbers: [27, 83, 5]
Generated Node #2: [27, 83, 5] from Operation: 98-93=5
Current State: 22:[27, 83, 5], Operations: ['98-93=5']
Exploring Operation: 27+83=110, Resulting Numbers: [5, 110]
Generated Node #3: [5, 110] from Operation: 27+83=110
Current State: 22:[5, 110], Operations: ['98-93=5', '27+83=110']
Exploring Operation: 110/5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
26,
19,
4,
23
] | 31 | [
"26-23=3",
"4*3=12",
"19+12=31"
] | Current State: 31:[26, 19, 4, 23], Operations: []
Exploring Operation: 26-23=3, Resulting Numbers: [19, 4, 3]
Generated Node #2: [19, 4, 3] from Operation: 26-23=3
Current State: 31:[19, 4, 3], Operations: ['26-23=3']
Exploring Operation: 4*3=12, Resulting Numbers: [19, 12]
Generated Node #3: [19, 12] from Operation: 4*3=12
Current State: 31:[19, 12], Operations: ['26-23=3', '4*3=12']
Exploring Operation: 19+12=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
33,
16,
15,
21
] | 13 | [
"33+16=49",
"15+21=36",
"49-36=13"
] | Current State: 13:[33, 16, 15, 21], Operations: []
Exploring Operation: 33+16=49, Resulting Numbers: [15, 21, 49]
Generated Node #2: [15, 21, 49] from Operation: 33+16=49
Current State: 13:[15, 21, 49], Operations: ['33+16=49']
Exploring Operation: 15+21=36, Resulting Numbers: [49, 36]
Generated Node #3: [49, 36] from Operation: 15+21=36
Current State: 13:[49, 36], Operations: ['33+16=49', '15+21=36']
Exploring Operation: 49-36=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
36,
13,
11,
18
] | 36 | [
"36-18=18",
"13-11=2",
"18*2=36"
] | Current State: 36:[36, 13, 11, 18], Operations: []
Exploring Operation: 36-18=18, Resulting Numbers: [13, 11, 18]
Generated Node #2: [13, 11, 18] from Operation: 36-18=18
Current State: 36:[13, 11, 18], Operations: ['36-18=18']
Exploring Operation: 13-11=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 13-11=2
Current State: 36:[18, 2], Operations: ['36-18=18', '13-11=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
93,
61,
70,
7
] | 91 | [
"93+61=154",
"70-7=63",
"154-63=91"
] | Current State: 91:[93, 61, 70, 7], Operations: []
Exploring Operation: 93+61=154, Resulting Numbers: [70, 7, 154]
Generated Node #2: [70, 7, 154] from Operation: 93+61=154
Current State: 91:[70, 7, 154], Operations: ['93+61=154']
Exploring Operation: 70-7=63, Resulting Numbers: [154, 63]
Generated Node #3: [154, 63] from Operation: 70-7=63
Current State: 91:[154, 63], Operations: ['93+61=154', '70-7=63']
Exploring Operation: 154-63=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
63,
29,
31,
42
] | 81 | [
"63+29=92",
"42-31=11",
"92-11=81"
] | Current State: 81:[63, 29, 31, 42], Operations: []
Exploring Operation: 63+29=92, Resulting Numbers: [31, 42, 92]
Generated Node #2: [31, 42, 92] from Operation: 63+29=92
Current State: 81:[31, 42, 92], Operations: ['63+29=92']
Exploring Operation: 42-31=11, Resulting Numbers: [92, 11]
Generated Node #3: [92, 11] from Operation: 42-31=11
Current State: 81:[92, 11], Operations: ['63+29=92', '42-31=11']
Exploring Operation: 92-11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
41,
57,
58,
38
] | 46 | [
"57*58=3306",
"3306/38=87",
"87-41=46"
] | Current State: 46:[41, 57, 58, 38], Operations: []
Exploring Operation: 57*58=3306, Resulting Numbers: [41, 38, 3306]
Generated Node #2: [41, 38, 3306] from Operation: 57*58=3306
Current State: 46:[41, 38, 3306], Operations: ['57*58=3306']
Exploring Operation: 3306/38=87, Resulting Numbers: [41, 87]
Generated Node #3: [41, 87] from Operation: 3306/38=87
Current State: 46:[41, 87], Operations: ['57*58=3306', '3306/38=87']
Exploring Operation: 87-41=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
43,
24,
4,
28
] | 48 | [
"43-24=19",
"4*19=76",
"76-28=48"
] | Current State: 48:[43, 24, 4, 28], Operations: []
Exploring Operation: 43-24=19, Resulting Numbers: [4, 28, 19]
Generated Node #2: [4, 28, 19] from Operation: 43-24=19
Current State: 48:[4, 28, 19], Operations: ['43-24=19']
Exploring Operation: 4*19=76, Resulting Numbers: [28, 76]
Generated Node #3: [28, 76] from Operation: 4*19=76
Current State: 48:[28, 76], Operations: ['43-24=19', '4*19=76']
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
29,
77,
96,
81
] | 63 | [
"77-29=48",
"96-81=15",
"48+15=63"
] | Current State: 63:[29, 77, 96, 81], Operations: []
Exploring Operation: 77-29=48, Resulting Numbers: [96, 81, 48]
Generated Node #2: [96, 81, 48] from Operation: 77-29=48
Current State: 63:[96, 81, 48], Operations: ['77-29=48']
Exploring Operation: 96-81=15, Resulting Numbers: [48, 15]
Generated Node #3: [48, 15] from Operation: 96-81=15
Current State: 63:[48, 15], Operations: ['77-29=48', '96-81=15']
Exploring Operation: 48+15=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
67,
41,
24,
72
] | 29 | [
"67-41=26",
"72/24=3",
"26+3=29"
] | Current State: 29:[67, 41, 24, 72], Operations: []
Exploring Operation: 67-41=26, Resulting Numbers: [24, 72, 26]
Generated Node #2: [24, 72, 26] from Operation: 67-41=26
Current State: 29:[24, 72, 26], Operations: ['67-41=26']
Exploring Operation: 72/24=3, Resulting Numbers: [26, 3]
Generated Node #3: [26, 3] from Operation: 72/24=3
Current State: 29:[26, 3], Operations: ['67-41=26', '72/24=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
63,
27,
2,
3
] | 75 | [
"63-27=36",
"2*36=72",
"3+72=75"
] | Current State: 75:[63, 27, 2, 3], Operations: []
Exploring Operation: 63-27=36, Resulting Numbers: [2, 3, 36]
Generated Node #2: [2, 3, 36] from Operation: 63-27=36
Current State: 75:[2, 3, 36], Operations: ['63-27=36']
Exploring Operation: 2*36=72, Resulting Numbers: [3, 72]
Generated Node #3: [3, 72] from Operation: 2*36=72
Current State: 75:[3, 72], Operations: ['63-27=36', '2*36=72']
Exploring Operation: 3+72=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
33,
4,
40,
54
] | 76 | [
"33+40=73",
"73-54=19",
"4*19=76"
] | Current State: 76:[33, 4, 40, 54], Operations: []
Exploring Operation: 33+40=73, Resulting Numbers: [4, 54, 73]
Generated Node #2: [4, 54, 73] from Operation: 33+40=73
Current State: 76:[4, 54, 73], Operations: ['33+40=73']
Exploring Operation: 73-54=19, Resulting Numbers: [4, 19]
Generated Node #3: [4, 19] from Operation: 73-54=19
Current State: 76:[4, 19], Operations: ['33+40=73', '73-54=19']
Exploring Operation: 4*19=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
15,
50,
44,
12
] | 33 | [
"15+50=65",
"44-12=32",
"65-32=33"
] | Current State: 33:[15, 50, 44, 12], Operations: []
Exploring Operation: 15+50=65, Resulting Numbers: [44, 12, 65]
Generated Node #2: [44, 12, 65] from Operation: 15+50=65
Current State: 33:[44, 12, 65], Operations: ['15+50=65']
Exploring Operation: 44-12=32, Resulting Numbers: [65, 32]
Generated Node #3: [65, 32] from Operation: 44-12=32
Current State: 33:[65, 32], Operations: ['15+50=65', '44-12=32']
Exploring Operation: 65-32=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
7,
55,
25,
23
] | 90 | [
"25*23=575",
"55+575=630",
"630/7=90"
] | Current State: 90:[7, 55, 25, 23], Operations: []
Exploring Operation: 25*23=575, Resulting Numbers: [7, 55, 575]
Generated Node #2: [7, 55, 575] from Operation: 25*23=575
Current State: 90:[7, 55, 575], Operations: ['25*23=575']
Exploring Operation: 55+575=630, Resulting Numbers: [7, 630]
Generated Node #3: [7, 630] from Operation: 55+575=630
Current State: 90:[7, 630], Operations: ['25*23=575', '55+575=630']
Exploring Operation: 630/7=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
91,
65,
32,
81
] | 43 | [
"91+65=156",
"32+81=113",
"156-113=43"
] | Current State: 43:[91, 65, 32, 81], Operations: []
Exploring Operation: 91+65=156, Resulting Numbers: [32, 81, 156]
Generated Node #2: [32, 81, 156] from Operation: 91+65=156
Current State: 43:[32, 81, 156], Operations: ['91+65=156']
Exploring Operation: 32+81=113, Resulting Numbers: [156, 113]
Generated Node #3: [156, 113] from Operation: 32+81=113
Current State: 43:[156, 113], Operations: ['91+65=156', '32+81=113']
Exploring Operation: 156-113=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
9,
56,
5,
58
] | 90 | [
"9*5=45",
"58-56=2",
"45*2=90"
] | Current State: 90:[9, 56, 5, 58], Operations: []
Exploring Operation: 9*5=45, Resulting Numbers: [56, 58, 45]
Generated Node #2: [56, 58, 45] from Operation: 9*5=45
Current State: 90:[56, 58, 45], Operations: ['9*5=45']
Exploring Operation: 58-56=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 58-56=2
Current State: 90:[45, 2], Operations: ['9*5=45', '58-56=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
94,
7,
45,
58
] | 88 | [
"94+7=101",
"58-45=13",
"101-13=88"
] | Current State: 88:[94, 7, 45, 58], Operations: []
Exploring Operation: 94+7=101, Resulting Numbers: [45, 58, 101]
Generated Node #2: [45, 58, 101] from Operation: 94+7=101
Current State: 88:[45, 58, 101], Operations: ['94+7=101']
Exploring Operation: 58-45=13, Resulting Numbers: [101, 13]
Generated Node #3: [101, 13] from Operation: 58-45=13
Current State: 88:[101, 13], Operations: ['94+7=101', '58-45=13']
Exploring Operation: 101-13=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
70,
52,
57,
92
] | 78 | [
"57-52=5",
"70/5=14",
"92-14=78"
] | Current State: 78:[70, 52, 57, 92], Operations: []
Exploring Operation: 57-52=5, Resulting Numbers: [70, 92, 5]
Generated Node #2: [70, 92, 5] from Operation: 57-52=5
Current State: 78:[70, 92, 5], Operations: ['57-52=5']
Exploring Operation: 70/5=14, Resulting Numbers: [92, 14]
Generated Node #3: [92, 14] from Operation: 70/5=14
Current State: 78:[92, 14], Operations: ['57-52=5', '70/5=14']
Exploring Operation: 92-14=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
7,
97,
78,
36
] | 61 | [
"97+78=175",
"175/7=25",
"36+25=61"
] | Current State: 61:[7, 97, 78, 36], Operations: []
Exploring Operation: 97+78=175, Resulting Numbers: [7, 36, 175]
Generated Node #2: [7, 36, 175] from Operation: 97+78=175
Current State: 61:[7, 36, 175], Operations: ['97+78=175']
Exploring Operation: 175/7=25, Resulting Numbers: [36, 25]
Generated Node #3: [36, 25] from Operation: 175/7=25
Current State: 61:[36, 25], Operations: ['97+78=175', '175/7=25']
Exploring Operation: 36+25=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
23,
30,
47,
51
] | 49 | [
"23+30=53",
"51-47=4",
"53-4=49"
] | Current State: 49:[23, 30, 47, 51], Operations: []
Exploring Operation: 23+30=53, Resulting Numbers: [47, 51, 53]
Generated Node #2: [47, 51, 53] from Operation: 23+30=53
Current State: 49:[47, 51, 53], Operations: ['23+30=53']
Exploring Operation: 51-47=4, Resulting Numbers: [53, 4]
Generated Node #3: [53, 4] from Operation: 51-47=4
Current State: 49:[53, 4], Operations: ['23+30=53', '51-47=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
13,
64,
70,
58
] | 92 | [
"70-58=12",
"13*12=156",
"156-64=92"
] | Current State: 92:[13, 64, 70, 58], Operations: []
Exploring Operation: 70-58=12, Resulting Numbers: [13, 64, 12]
Generated Node #2: [13, 64, 12] from Operation: 70-58=12
Current State: 92:[13, 64, 12], Operations: ['70-58=12']
Exploring Operation: 13*12=156, Resulting Numbers: [64, 156]
Generated Node #3: [64, 156] from Operation: 13*12=156
Current State: 92:[64, 156], Operations: ['70-58=12', '13*12=156']
Exploring Operation: 156-64=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
5,
46,
63,
9
] | 21 | [
"5+46=51",
"63+9=72",
"72-51=21"
] | Current State: 21:[5, 46, 63, 9], Operations: []
Exploring Operation: 5+46=51, Resulting Numbers: [63, 9, 51]
Generated Node #2: [63, 9, 51] from Operation: 5+46=51
Current State: 21:[63, 9, 51], Operations: ['5+46=51']
Exploring Operation: 63+9=72, Resulting Numbers: [51, 72]
Generated Node #3: [51, 72] from Operation: 63+9=72
Current State: 21:[51, 72], Operations: ['5+46=51', '63+9=72']
Exploring Operation: 72-51=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
41,
30,
96,
51
] | 34 | [
"41-30=11",
"96-51=45",
"45-11=34"
] | Current State: 34:[41, 30, 96, 51], Operations: []
Exploring Operation: 41-30=11, Resulting Numbers: [96, 51, 11]
Generated Node #2: [96, 51, 11] from Operation: 41-30=11
Current State: 34:[96, 51, 11], Operations: ['41-30=11']
Exploring Operation: 96-51=45, Resulting Numbers: [11, 45]
Generated Node #3: [11, 45] from Operation: 96-51=45
Current State: 34:[11, 45], Operations: ['41-30=11', '96-51=45']
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
42,
30,
41,
28
] | 62 | [
"30-28=2",
"42/2=21",
"41+21=62"
] | Current State: 62:[42, 30, 41, 28], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [42, 41, 2]
Generated Node #2: [42, 41, 2] from Operation: 30-28=2
Current State: 62:[42, 41, 2], Operations: ['30-28=2']
Exploring Operation: 42/2=21, Resulting Numbers: [41, 21]
Generated Node #3: [41, 21] from Operation: 42/2=21
Current State: 62:[41, 21], Operations: ['30-28=2', '42/2=21']
Exploring Operation: 41+21=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
16,
21,
85,
44
] | 27 | [
"21-16=5",
"85/5=17",
"44-17=27"
] | Current State: 27:[16, 21, 85, 44], Operations: []
Exploring Operation: 21-16=5, Resulting Numbers: [85, 44, 5]
Generated Node #2: [85, 44, 5] from Operation: 21-16=5
Current State: 27:[85, 44, 5], Operations: ['21-16=5']
Exploring Operation: 85/5=17, Resulting Numbers: [44, 17]
Generated Node #3: [44, 17] from Operation: 85/5=17
Current State: 27:[44, 17], Operations: ['21-16=5', '85/5=17']
Exploring Operation: 44-17=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
18,
70,
61,
92
] | 70 | [
"70-61=9",
"18*9=162",
"162-92=70"
] | Current State: 70:[18, 70, 61, 92], Operations: []
Exploring Operation: 70-61=9, Resulting Numbers: [18, 92, 9]
Generated Node #2: [18, 92, 9] from Operation: 70-61=9
Current State: 70:[18, 92, 9], Operations: ['70-61=9']
Exploring Operation: 18*9=162, Resulting Numbers: [92, 162]
Generated Node #3: [92, 162] from Operation: 18*9=162
Current State: 70:[92, 162], Operations: ['70-61=9', '18*9=162']
Exploring Operation: 162-92=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
29,
60,
46,
29
] | 60 | [
"29-29=0",
"46*0=0",
"60+0=60"
] | Current State: 60:[29, 60, 46, 29], Operations: []
Exploring Operation: 29-29=0, Resulting Numbers: [60, 46, 0]
Generated Node #2: [60, 46, 0] from Operation: 29-29=0
Current State: 60:[60, 46, 0], Operations: ['29-29=0']
Exploring Operation: 46*0=0, Resulting Numbers: [60, 0]
Generated Node #3: [60, 0] from Operation: 46*0=0
Current State: 60:[60, 0], Operations: ['29-29=0', '46*0=0']
Exploring Operation: 60+0=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
47,
72,
73,
60
] | 14 | [
"47+72=119",
"73+60=133",
"133-119=14"
] | Current State: 14:[47, 72, 73, 60], Operations: []
Exploring Operation: 47+72=119, Resulting Numbers: [73, 60, 119]
Generated Node #2: [73, 60, 119] from Operation: 47+72=119
Current State: 14:[73, 60, 119], Operations: ['47+72=119']
Exploring Operation: 73+60=133, Resulting Numbers: [119, 133]
Generated Node #3: [119, 133] from Operation: 73+60=133
Current State: 14:[119, 133], Operations: ['47+72=119', '73+60=133']
Exploring Operation: 133-119=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
39,
15,
70,
12
] | 71 | [
"39+70=109",
"15*12=180",
"180-109=71"
] | Current State: 71:[39, 15, 70, 12], Operations: []
Exploring Operation: 39+70=109, Resulting Numbers: [15, 12, 109]
Generated Node #2: [15, 12, 109] from Operation: 39+70=109
Current State: 71:[15, 12, 109], Operations: ['39+70=109']
Exploring Operation: 15*12=180, Resulting Numbers: [109, 180]
Generated Node #3: [109, 180] from Operation: 15*12=180
Current State: 71:[109, 180], Operations: ['39+70=109', '15*12=180']
Exploring Operation: 180-109=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
44,
28,
57,
19
] | 19 | [
"44-28=16",
"57/19=3",
"16+3=19"
] | Current State: 19:[44, 28, 57, 19], Operations: []
Exploring Operation: 44-28=16, Resulting Numbers: [57, 19, 16]
Generated Node #2: [57, 19, 16] from Operation: 44-28=16
Current State: 19:[57, 19, 16], Operations: ['44-28=16']
Exploring Operation: 57/19=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 57/19=3
Current State: 19:[16, 3], Operations: ['44-28=16', '57/19=3']
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
30,
7,
9,
70
] | 98 | [
"30+7=37",
"70-9=61",
"37+61=98"
] | Current State: 98:[30, 7, 9, 70], Operations: []
Exploring Operation: 30+7=37, Resulting Numbers: [9, 70, 37]
Generated Node #2: [9, 70, 37] from Operation: 30+7=37
Current State: 98:[9, 70, 37], Operations: ['30+7=37']
Exploring Operation: 70-9=61, Resulting Numbers: [37, 61]
Generated Node #3: [37, 61] from Operation: 70-9=61
Current State: 98:[37, 61], Operations: ['30+7=37', '70-9=61']
Exploring Operation: 37+61=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
6,
23,
45,
9
] | 39 | [
"23-9=14",
"6*14=84",
"84-45=39"
] | Current State: 39:[6, 23, 45, 9], Operations: []
Exploring Operation: 23-9=14, Resulting Numbers: [6, 45, 14]
Generated Node #2: [6, 45, 14] from Operation: 23-9=14
Current State: 39:[6, 45, 14], Operations: ['23-9=14']
Exploring Operation: 6*14=84, Resulting Numbers: [45, 84]
Generated Node #3: [45, 84] from Operation: 6*14=84
Current State: 39:[45, 84], Operations: ['23-9=14', '6*14=84']
Exploring Operation: 84-45=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
38,
6,
21,
2
] | 92 | [
"6+21=27",
"2*27=54",
"38+54=92"
] | Current State: 92:[38, 6, 21, 2], Operations: []
Exploring Operation: 6+21=27, Resulting Numbers: [38, 2, 27]
Generated Node #2: [38, 2, 27] from Operation: 6+21=27
Current State: 92:[38, 2, 27], Operations: ['6+21=27']
Exploring Operation: 2*27=54, Resulting Numbers: [38, 54]
Generated Node #3: [38, 54] from Operation: 2*27=54
Current State: 92:[38, 54], Operations: ['6+21=27', '2*27=54']
Exploring Operation: 38+54=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
68,
88,
8,
81
] | 16 | [
"81-68=13",
"8*13=104",
"104-88=16"
] | Current State: 16:[68, 88, 8, 81], Operations: []
Exploring Operation: 81-68=13, Resulting Numbers: [88, 8, 13]
Generated Node #2: [88, 8, 13] from Operation: 81-68=13
Current State: 16:[88, 8, 13], Operations: ['81-68=13']
Exploring Operation: 8*13=104, Resulting Numbers: [88, 104]
Generated Node #3: [88, 104] from Operation: 8*13=104
Current State: 16:[88, 104], Operations: ['81-68=13', '8*13=104']
Exploring Operation: 104-88=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
24,
85,
61,
95
] | 96 | [
"85-24=61",
"61/61=1",
"95+1=96"
] | Current State: 96:[24, 85, 61, 95], Operations: []
Exploring Operation: 85-24=61, Resulting Numbers: [61, 95, 61]
Generated Node #2: [61, 95, 61] from Operation: 85-24=61
Current State: 96:[61, 95, 61], Operations: ['85-24=61']
Exploring Operation: 61/61=1, Resulting Numbers: [95, 1]
Generated Node #3: [95, 1] from Operation: 61/61=1
Current State: 96:[95, 1], Operations: ['85-24=61', '61/61=1']
Exploring Operation: 95+1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
23,
23,
45,
13
] | 78 | [
"23+23=46",
"45-13=32",
"46+32=78"
] | Current State: 78:[23, 23, 45, 13], Operations: []
Exploring Operation: 23+23=46, Resulting Numbers: [45, 13, 46]
Generated Node #2: [45, 13, 46] from Operation: 23+23=46
Current State: 78:[45, 13, 46], Operations: ['23+23=46']
Exploring Operation: 45-13=32, Resulting Numbers: [46, 32]
Generated Node #3: [46, 32] from Operation: 45-13=32
Current State: 78:[46, 32], Operations: ['23+23=46', '45-13=32']
Exploring Operation: 46+32=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
3,
5,
70,
44
] | 77 | [
"5+44=49",
"3*49=147",
"147-70=77"
] | Current State: 77:[3, 5, 70, 44], Operations: []
Exploring Operation: 5+44=49, Resulting Numbers: [3, 70, 49]
Generated Node #2: [3, 70, 49] from Operation: 5+44=49
Current State: 77:[3, 70, 49], Operations: ['5+44=49']
Exploring Operation: 3*49=147, Resulting Numbers: [70, 147]
Generated Node #3: [70, 147] from Operation: 3*49=147
Current State: 77:[70, 147], Operations: ['5+44=49', '3*49=147']
Exploring Operation: 147-70=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
92,
17,
75,
85
] | 78 | [
"85-75=10",
"17*10=170",
"170-92=78"
] | Current State: 78:[92, 17, 75, 85], Operations: []
Exploring Operation: 85-75=10, Resulting Numbers: [92, 17, 10]
Generated Node #2: [92, 17, 10] from Operation: 85-75=10
Current State: 78:[92, 17, 10], Operations: ['85-75=10']
Exploring Operation: 17*10=170, Resulting Numbers: [92, 170]
Generated Node #3: [92, 170] from Operation: 17*10=170
Current State: 78:[92, 170], Operations: ['85-75=10', '17*10=170']
Exploring Operation: 170-92=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
53,
2,
22,
68
] | 52 | [
"68-53=15",
"2*15=30",
"22+30=52"
] | Current State: 52:[53, 2, 22, 68], Operations: []
Exploring Operation: 68-53=15, Resulting Numbers: [2, 22, 15]
Generated Node #2: [2, 22, 15] from Operation: 68-53=15
Current State: 52:[2, 22, 15], Operations: ['68-53=15']
Exploring Operation: 2*15=30, Resulting Numbers: [22, 30]
Generated Node #3: [22, 30] from Operation: 2*15=30
Current State: 52:[22, 30], Operations: ['68-53=15', '2*15=30']
Exploring Operation: 22+30=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
69,
74,
10,
92
] | 42 | [
"74-69=5",
"10*5=50",
"92-50=42"
] | Current State: 42:[69, 74, 10, 92], Operations: []
Exploring Operation: 74-69=5, Resulting Numbers: [10, 92, 5]
Generated Node #2: [10, 92, 5] from Operation: 74-69=5
Current State: 42:[10, 92, 5], Operations: ['74-69=5']
Exploring Operation: 10*5=50, Resulting Numbers: [92, 50]
Generated Node #3: [92, 50] from Operation: 10*5=50
Current State: 42:[92, 50], Operations: ['74-69=5', '10*5=50']
Exploring Operation: 92-50=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
91,
24,
48,
63
] | 26 | [
"91-63=28",
"48/24=2",
"28-2=26"
] | Current State: 26:[91, 24, 48, 63], Operations: []
Exploring Operation: 91-63=28, Resulting Numbers: [24, 48, 28]
Generated Node #2: [24, 48, 28] from Operation: 91-63=28
Current State: 26:[24, 48, 28], Operations: ['91-63=28']
Exploring Operation: 48/24=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 48/24=2
Current State: 26:[28, 2], Operations: ['91-63=28', '48/24=2']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
23,
8,
80,
40
] | 19 | [
"80/8=10",
"40/10=4",
"23-4=19"
] | Current State: 19:[23, 8, 80, 40], Operations: []
Exploring Operation: 80/8=10, Resulting Numbers: [23, 40, 10]
Generated Node #2: [23, 40, 10] from Operation: 80/8=10
Current State: 19:[23, 40, 10], Operations: ['80/8=10']
Exploring Operation: 40/10=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 40/10=4
Current State: 19:[23, 4], Operations: ['80/8=10', '40/10=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
72,
62,
66,
12
] | 55 | [
"72-62=10",
"66*10=660",
"660/12=55"
] | Current State: 55:[72, 62, 66, 12], Operations: []
Exploring Operation: 72-62=10, Resulting Numbers: [66, 12, 10]
Generated Node #2: [66, 12, 10] from Operation: 72-62=10
Current State: 55:[66, 12, 10], Operations: ['72-62=10']
Exploring Operation: 66*10=660, Resulting Numbers: [12, 660]
Generated Node #3: [12, 660] from Operation: 66*10=660
Current State: 55:[12, 660], Operations: ['72-62=10', '66*10=660']
Exploring Operation: 660/12=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
60,
58,
26,
60
] | 31 | [
"60/60=1",
"58-26=32",
"32-1=31"
] | Current State: 31:[60, 58, 26, 60], Operations: []
Exploring Operation: 60/60=1, Resulting Numbers: [58, 26, 1]
Generated Node #2: [58, 26, 1] from Operation: 60/60=1
Current State: 31:[58, 26, 1], Operations: ['60/60=1']
Exploring Operation: 58-26=32, Resulting Numbers: [1, 32]
Generated Node #3: [1, 32] from Operation: 58-26=32
Current State: 31:[1, 32], Operations: ['60/60=1', '58-26=32']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
44,
22,
89,
22
] | 44 | [
"89-44=45",
"22/22=1",
"45-1=44"
] | Current State: 44:[44, 22, 89, 22], Operations: []
Exploring Operation: 89-44=45, Resulting Numbers: [22, 22, 45]
Generated Node #2: [22, 22, 45] from Operation: 89-44=45
Current State: 44:[22, 22, 45], Operations: ['89-44=45']
Exploring Operation: 22/22=1, Resulting Numbers: [45, 1]
Generated Node #3: [45, 1] from Operation: 22/22=1
Current State: 44:[45, 1], Operations: ['89-44=45', '22/22=1']
Exploring Operation: 45-1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
93,
77,
42,
61
] | 21 | [
"93+61=154",
"77*42=3234",
"3234/154=21"
] | Current State: 21:[93, 77, 42, 61], Operations: []
Exploring Operation: 93+61=154, Resulting Numbers: [77, 42, 154]
Generated Node #2: [77, 42, 154] from Operation: 93+61=154
Current State: 21:[77, 42, 154], Operations: ['93+61=154']
Exploring Operation: 77*42=3234, Resulting Numbers: [154, 3234]
Generated Node #3: [154, 3234] from Operation: 77*42=3234
Current State: 21:[154, 3234], Operations: ['93+61=154', '77*42=3234']
Exploring Operation: 3234/154=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
55,
89,
3,
3
] | 51 | [
"55+89=144",
"144/3=48",
"3+48=51"
] | Current State: 51:[55, 89, 3, 3], Operations: []
Exploring Operation: 55+89=144, Resulting Numbers: [3, 3, 144]
Generated Node #2: [3, 3, 144] from Operation: 55+89=144
Current State: 51:[3, 3, 144], Operations: ['55+89=144']
Exploring Operation: 144/3=48, Resulting Numbers: [48]
48,51 equal: Goal Reached
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
48,
47,
52,
2
] | 49 | [
"48-47=1",
"52-2=50",
"50-1=49"
] | Current State: 49:[48, 47, 52, 2], Operations: []
Exploring Operation: 48-47=1, Resulting Numbers: [52, 2, 1]
Generated Node #2: [52, 2, 1] from Operation: 48-47=1
Current State: 49:[52, 2, 1], Operations: ['48-47=1']
Exploring Operation: 52-2=50, Resulting Numbers: [1, 50]
Generated Node #3: [1, 50] from Operation: 52-2=50
Current State: 49:[1, 50], Operations: ['48-47=1', '52-2=50']
Exploring Operation: 50-1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
48,
10,
53,
79
] | 12 | [
"48-10=38",
"79-53=26",
"38-26=12"
] | Current State: 12:[48, 10, 53, 79], Operations: []
Exploring Operation: 48-10=38, Resulting Numbers: [53, 79, 38]
Generated Node #2: [53, 79, 38] from Operation: 48-10=38
Current State: 12:[53, 79, 38], Operations: ['48-10=38']
Exploring Operation: 79-53=26, Resulting Numbers: [38, 26]
Generated Node #3: [38, 26] from Operation: 79-53=26
Current State: 12:[38, 26], Operations: ['48-10=38', '79-53=26']
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
17,
72,
48,
6
] | 53 | [
"17+48=65",
"72/6=12",
"65-12=53"
] | Current State: 53:[17, 72, 48, 6], Operations: []
Exploring Operation: 17+48=65, Resulting Numbers: [72, 6, 65]
Generated Node #2: [72, 6, 65] from Operation: 17+48=65
Current State: 53:[72, 6, 65], Operations: ['17+48=65']
Exploring Operation: 72/6=12, Resulting Numbers: [65, 12]
Generated Node #3: [65, 12] from Operation: 72/6=12
Current State: 53:[65, 12], Operations: ['17+48=65', '72/6=12']
Exploring Operation: 65-12=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
16,
94,
60,
96
] | 68 | [
"96-94=2",
"16/2=8",
"60+8=68"
] | Current State: 68:[16, 94, 60, 96], Operations: []
Exploring Operation: 96-94=2, Resulting Numbers: [16, 60, 2]
Generated Node #2: [16, 60, 2] from Operation: 96-94=2
Current State: 68:[16, 60, 2], Operations: ['96-94=2']
Exploring Operation: 16/2=8, Resulting Numbers: [60, 8]
Generated Node #3: [60, 8] from Operation: 16/2=8
Current State: 68:[60, 8], Operations: ['96-94=2', '16/2=8']
Exploring Operation: 60+8=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
8,
9,
4,
40
] | 53 | [
"8+9=17",
"40-4=36",
"17+36=53"
] | Current State: 53:[8, 9, 4, 40], Operations: []
Exploring Operation: 8+9=17, Resulting Numbers: [4, 40, 17]
Generated Node #2: [4, 40, 17] from Operation: 8+9=17
Current State: 53:[4, 40, 17], Operations: ['8+9=17']
Exploring Operation: 40-4=36, Resulting Numbers: [17, 36]
Generated Node #3: [17, 36] from Operation: 40-4=36
Current State: 53:[17, 36], Operations: ['8+9=17', '40-4=36']
Exploring Operation: 17+36=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
83,
82,
86,
36
] | 50 | [
"83-82=1",
"86-36=50",
"1*50=50"
] | Current State: 50:[83, 82, 86, 36], Operations: []
Exploring Operation: 83-82=1, Resulting Numbers: [86, 36, 1]
Generated Node #2: [86, 36, 1] from Operation: 83-82=1
Current State: 50:[86, 36, 1], Operations: ['83-82=1']
Exploring Operation: 86-36=50, Resulting Numbers: [1, 50]
Generated Node #3: [1, 50] from Operation: 86-36=50
Current State: 50:[1, 50], Operations: ['83-82=1', '86-36=50']
Exploring Operation: 1*50=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
45,
47,
28,
5
] | 48 | [
"45+47=92",
"28*5=140",
"140-92=48"
] | Current State: 48:[45, 47, 28, 5], Operations: []
Exploring Operation: 45+47=92, Resulting Numbers: [28, 5, 92]
Generated Node #2: [28, 5, 92] from Operation: 45+47=92
Current State: 48:[28, 5, 92], Operations: ['45+47=92']
Exploring Operation: 28*5=140, Resulting Numbers: [92, 140]
Generated Node #3: [92, 140] from Operation: 28*5=140
Current State: 48:[92, 140], Operations: ['45+47=92', '28*5=140']
Exploring Operation: 140-92=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
50,
78,
26,
92
] | 38 | [
"78-50=28",
"92-26=66",
"66-28=38"
] | Current State: 38:[50, 78, 26, 92], Operations: []
Exploring Operation: 78-50=28, Resulting Numbers: [26, 92, 28]
Generated Node #2: [26, 92, 28] from Operation: 78-50=28
Current State: 38:[26, 92, 28], Operations: ['78-50=28']
Exploring Operation: 92-26=66, Resulting Numbers: [28, 66]
Generated Node #3: [28, 66] from Operation: 92-26=66
Current State: 38:[28, 66], Operations: ['78-50=28', '92-26=66']
Exploring Operation: 66-28=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
81,
20,
41,
70
] | 68 | [
"81-41=40",
"40/20=2",
"70-2=68"
] | Current State: 68:[81, 20, 41, 70], Operations: []
Exploring Operation: 81-41=40, Resulting Numbers: [20, 70, 40]
Generated Node #2: [20, 70, 40] from Operation: 81-41=40
Current State: 68:[20, 70, 40], Operations: ['81-41=40']
Exploring Operation: 40/20=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 40/20=2
Current State: 68:[70, 2], Operations: ['81-41=40', '40/20=2']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
3,
56,
19,
44
] | 78 | [
"56-3=53",
"44-19=25",
"53+25=78"
] | Current State: 78:[3, 56, 19, 44], Operations: []
Exploring Operation: 56-3=53, Resulting Numbers: [19, 44, 53]
Generated Node #2: [19, 44, 53] from Operation: 56-3=53
Current State: 78:[19, 44, 53], Operations: ['56-3=53']
Exploring Operation: 44-19=25, Resulting Numbers: [53, 25]
Generated Node #3: [53, 25] from Operation: 44-19=25
Current State: 78:[53, 25], Operations: ['56-3=53', '44-19=25']
Exploring Operation: 53+25=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
72,
11,
31,
69
] | 23 | [
"72-11=61",
"69-31=38",
"61-38=23"
] | Current State: 23:[72, 11, 31, 69], Operations: []
Exploring Operation: 72-11=61, Resulting Numbers: [31, 69, 61]
Generated Node #2: [31, 69, 61] from Operation: 72-11=61
Current State: 23:[31, 69, 61], Operations: ['72-11=61']
Exploring Operation: 69-31=38, Resulting Numbers: [61, 38]
Generated Node #3: [61, 38] from Operation: 69-31=38
Current State: 23:[61, 38], Operations: ['72-11=61', '69-31=38']
Exploring Operation: 61-38=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
30,
36,
37,
33
] | 81 | [
"36-33=3",
"37*3=111",
"111-30=81"
] | Current State: 81:[30, 36, 37, 33], Operations: []
Exploring Operation: 36-33=3, Resulting Numbers: [30, 37, 3]
Generated Node #2: [30, 37, 3] from Operation: 36-33=3
Current State: 81:[30, 37, 3], Operations: ['36-33=3']
Exploring Operation: 37*3=111, Resulting Numbers: [30, 111]
Generated Node #3: [30, 111] from Operation: 37*3=111
Current State: 81:[30, 111], Operations: ['36-33=3', '37*3=111']
Exploring Operation: 111-30=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
43,
49,
50,
23
] | 79 | [
"49-43=6",
"50+23=73",
"6+73=79"
] | Current State: 79:[43, 49, 50, 23], Operations: []
Exploring Operation: 49-43=6, Resulting Numbers: [50, 23, 6]
Generated Node #2: [50, 23, 6] from Operation: 49-43=6
Current State: 79:[50, 23, 6], Operations: ['49-43=6']
Exploring Operation: 50+23=73, Resulting Numbers: [6, 73]
Generated Node #3: [6, 73] from Operation: 50+23=73
Current State: 79:[6, 73], Operations: ['49-43=6', '50+23=73']
Exploring Operation: 6+73=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
74,
83,
2,
44
] | 98 | [
"74-44=30",
"30/2=15",
"83+15=98"
] | Current State: 98:[74, 83, 2, 44], Operations: []
Exploring Operation: 74-44=30, Resulting Numbers: [83, 2, 30]
Generated Node #2: [83, 2, 30] from Operation: 74-44=30
Current State: 98:[83, 2, 30], Operations: ['74-44=30']
Exploring Operation: 30/2=15, Resulting Numbers: [83, 15]
Generated Node #3: [83, 15] from Operation: 30/2=15
Current State: 98:[83, 15], Operations: ['74-44=30', '30/2=15']
Exploring Operation: 83+15=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
31,
46,
4,
21
] | 39 | [
"46-31=15",
"4*15=60",
"60-21=39"
] | Current State: 39:[31, 46, 4, 21], Operations: []
Exploring Operation: 46-31=15, Resulting Numbers: [4, 21, 15]
Generated Node #2: [4, 21, 15] from Operation: 46-31=15
Current State: 39:[4, 21, 15], Operations: ['46-31=15']
Exploring Operation: 4*15=60, Resulting Numbers: [21, 60]
Generated Node #3: [21, 60] from Operation: 4*15=60
Current State: 39:[21, 60], Operations: ['46-31=15', '4*15=60']
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
61,
93,
54,
98
] | 35 | [
"61-54=7",
"98-93=5",
"7*5=35"
] | Current State: 35:[61, 93, 54, 98], Operations: []
Exploring Operation: 61-54=7, Resulting Numbers: [93, 98, 7]
Generated Node #2: [93, 98, 7] from Operation: 61-54=7
Current State: 35:[93, 98, 7], Operations: ['61-54=7']
Exploring Operation: 98-93=5, Resulting Numbers: [7, 5]
Generated Node #3: [7, 5] from Operation: 98-93=5
Current State: 35:[7, 5], Operations: ['61-54=7', '98-93=5']
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
18,
1,
92,
22
] | 24 | [
"22-18=4",
"92/4=23",
"1+23=24"
] | Current State: 24:[18, 1, 92, 22], Operations: []
Exploring Operation: 22-18=4, Resulting Numbers: [1, 92, 4]
Generated Node #2: [1, 92, 4] from Operation: 22-18=4
Current State: 24:[1, 92, 4], Operations: ['22-18=4']
Exploring Operation: 92/4=23, Resulting Numbers: [1, 23]
Generated Node #3: [1, 23] from Operation: 92/4=23
Current State: 24:[1, 23], Operations: ['22-18=4', '92/4=23']
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
35,
85,
79,
24
] | 53 | [
"85-35=50",
"79+24=103",
"103-50=53"
] | Current State: 53:[35, 85, 79, 24], Operations: []
Exploring Operation: 85-35=50, Resulting Numbers: [79, 24, 50]
Generated Node #2: [79, 24, 50] from Operation: 85-35=50
Current State: 53:[79, 24, 50], Operations: ['85-35=50']
Exploring Operation: 79+24=103, Resulting Numbers: [50, 103]
Generated Node #3: [50, 103] from Operation: 79+24=103
Current State: 53:[50, 103], Operations: ['85-35=50', '79+24=103']
Exploring Operation: 103-50=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
57,
29,
45,
45
] | 86 | [
"57+29=86",
"45-45=0",
"86+0=86"
] | Current State: 86:[57, 29, 45, 45], Operations: []
Exploring Operation: 57+29=86, Resulting Numbers: [45, 45, 86]
Generated Node #2: [45, 45, 86] from Operation: 57+29=86
Current State: 86:[45, 45, 86], Operations: ['57+29=86']
Exploring Operation: 45-45=0, Resulting Numbers: [86, 0]
Generated Node #3: [86, 0] from Operation: 45-45=0
Current State: 86:[86, 0], Operations: ['57+29=86', '45-45=0']
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
86,
96,
22,
15
] | 10 | [
"86-22=64",
"15*64=960",
"960/96=10"
] | Current State: 10:[86, 96, 22, 15], Operations: []
Exploring Operation: 86-22=64, Resulting Numbers: [96, 15, 64]
Generated Node #2: [96, 15, 64] from Operation: 86-22=64
Current State: 10:[96, 15, 64], Operations: ['86-22=64']
Exploring Operation: 15*64=960, Resulting Numbers: [96, 960]
Generated Node #3: [96, 960] from Operation: 15*64=960
Current State: 10:[96, 960], Operations: ['86-22=64', '15*64=960']
Exploring Operation: 960/96=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
11,
75,
99,
17
] | 52 | [
"75-11=64",
"99+17=116",
"116-64=52"
] | Current State: 52:[11, 75, 99, 17], Operations: []
Exploring Operation: 75-11=64, Resulting Numbers: [99, 17, 64]
Generated Node #2: [99, 17, 64] from Operation: 75-11=64
Current State: 52:[99, 17, 64], Operations: ['75-11=64']
Exploring Operation: 99+17=116, Resulting Numbers: [64, 116]
Generated Node #3: [64, 116] from Operation: 99+17=116
Current State: 52:[64, 116], Operations: ['75-11=64', '99+17=116']
Exploring Operation: 116-64=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
10,
12,
13,
73
] | 38 | [
"10+12=22",
"73-13=60",
"60-22=38"
] | Current State: 38:[10, 12, 13, 73], Operations: []
Exploring Operation: 10+12=22, Resulting Numbers: [13, 73, 22]
Generated Node #2: [13, 73, 22] from Operation: 10+12=22
Current State: 38:[13, 73, 22], Operations: ['10+12=22']
Exploring Operation: 73-13=60, Resulting Numbers: [22, 60]
Generated Node #3: [22, 60] from Operation: 73-13=60
Current State: 38:[22, 60], Operations: ['10+12=22', '73-13=60']
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
5,
21,
31,
28
] | 16 | [
"21+31=52",
"28+52=80",
"80/5=16"
] | Current State: 16:[5, 21, 31, 28], Operations: []
Exploring Operation: 21+31=52, Resulting Numbers: [5, 28, 52]
Generated Node #2: [5, 28, 52] from Operation: 21+31=52
Current State: 16:[5, 28, 52], Operations: ['21+31=52']
Exploring Operation: 28+52=80, Resulting Numbers: [5, 80]
Generated Node #3: [5, 80] from Operation: 28+52=80
Current State: 16:[5, 80], Operations: ['21+31=52', '28+52=80']
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
78,
32,
25,
7
] | 64 | [
"78-32=46",
"25-7=18",
"46+18=64"
] | Current State: 64:[78, 32, 25, 7], Operations: []
Exploring Operation: 78-32=46, Resulting Numbers: [25, 7, 46]
Generated Node #2: [25, 7, 46] from Operation: 78-32=46
Current State: 64:[25, 7, 46], Operations: ['78-32=46']
Exploring Operation: 25-7=18, Resulting Numbers: [46, 18]
Generated Node #3: [46, 18] from Operation: 25-7=18
Current State: 64:[46, 18], Operations: ['78-32=46', '25-7=18']
Exploring Operation: 46+18=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
77,
90,
91,
76
] | 71 | [
"91-76=15",
"90/15=6",
"77-6=71"
] | Current State: 71:[77, 90, 91, 76], Operations: []
Exploring Operation: 91-76=15, Resulting Numbers: [77, 90, 15]
Generated Node #2: [77, 90, 15] from Operation: 91-76=15
Current State: 71:[77, 90, 15], Operations: ['91-76=15']
Exploring Operation: 90/15=6, Resulting Numbers: [77, 6]
Generated Node #3: [77, 6] from Operation: 90/15=6
Current State: 71:[77, 6], Operations: ['91-76=15', '90/15=6']
Exploring Operation: 77-6=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
80,
57,
80,
34
] | 34 | [
"80-80=0",
"57*0=0",
"34+0=34"
] | Current State: 34:[80, 57, 80, 34], Operations: []
Exploring Operation: 80-80=0, Resulting Numbers: [57, 34, 0]
Generated Node #2: [57, 34, 0] from Operation: 80-80=0
Current State: 34:[57, 34, 0], Operations: ['80-80=0']
Exploring Operation: 57*0=0, Resulting Numbers: [34, 0]
Generated Node #3: [34, 0] from Operation: 57*0=0
Current State: 34:[34, 0], Operations: ['80-80=0', '57*0=0']
Exploring Operation: 34+0=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
8,
37,
74,
7
] | 22 | [
"8+37=45",
"74-7=67",
"67-45=22"
] | Current State: 22:[8, 37, 74, 7], Operations: []
Exploring Operation: 8+37=45, Resulting Numbers: [74, 7, 45]
Generated Node #2: [74, 7, 45] from Operation: 8+37=45
Current State: 22:[74, 7, 45], Operations: ['8+37=45']
Exploring Operation: 74-7=67, Resulting Numbers: [45, 67]
Generated Node #3: [45, 67] from Operation: 74-7=67
Current State: 22:[45, 67], Operations: ['8+37=45', '74-7=67']
Exploring Operation: 67-45=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
2,
12,
32,
17
] | 68 | [
"32/2=16",
"16-12=4",
"17*4=68"
] | Current State: 68:[2, 12, 32, 17], Operations: []
Exploring Operation: 32/2=16, Resulting Numbers: [12, 17, 16]
Generated Node #2: [12, 17, 16] from Operation: 32/2=16
Current State: 68:[12, 17, 16], Operations: ['32/2=16']
Exploring Operation: 16-12=4, Resulting Numbers: [17, 4]
Generated Node #3: [17, 4] from Operation: 16-12=4
Current State: 68:[17, 4], Operations: ['32/2=16', '16-12=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
7,
27,
8,
76
] | 84 | [
"27-7=20",
"8*20=160",
"160-76=84"
] | Current State: 84:[7, 27, 8, 76], Operations: []
Exploring Operation: 27-7=20, Resulting Numbers: [8, 76, 20]
Generated Node #2: [8, 76, 20] from Operation: 27-7=20
Current State: 84:[8, 76, 20], Operations: ['27-7=20']
Exploring Operation: 8*20=160, Resulting Numbers: [76, 160]
Generated Node #3: [76, 160] from Operation: 8*20=160
Current State: 84:[76, 160], Operations: ['27-7=20', '8*20=160']
Exploring Operation: 160-76=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
21,
40,
26,
44
] | 34 | [
"21*40=840",
"44+840=884",
"884/26=34"
] | Current State: 34:[21, 40, 26, 44], Operations: []
Exploring Operation: 21*40=840, Resulting Numbers: [26, 44, 840]
Generated Node #2: [26, 44, 840] from Operation: 21*40=840
Current State: 34:[26, 44, 840], Operations: ['21*40=840']
Exploring Operation: 44+840=884, Resulting Numbers: [26, 884]
Generated Node #3: [26, 884] from Operation: 44+840=884
Current State: 34:[26, 884], Operations: ['21*40=840', '44+840=884']
Exploring Operation: 884/26=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
1,
63,
79,
29
] | 13 | [
"1*63=63",
"79-29=50",
"63-50=13"
] | Current State: 13:[1, 63, 79, 29], Operations: []
Exploring Operation: 1*63=63, Resulting Numbers: [79, 29, 63]
Generated Node #2: [79, 29, 63] from Operation: 1*63=63
Current State: 13:[79, 29, 63], Operations: ['1*63=63']
Exploring Operation: 79-29=50, Resulting Numbers: [63, 50]
Generated Node #3: [63, 50] from Operation: 79-29=50
Current State: 13:[63, 50], Operations: ['1*63=63', '79-29=50']
Exploring Operation: 63-50=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
38,
6,
84,
12
] | 22 | [
"84+12=96",
"96/6=16",
"38-16=22"
] | Current State: 22:[38, 6, 84, 12], Operations: []
Exploring Operation: 84+12=96, Resulting Numbers: [38, 6, 96]
Generated Node #2: [38, 6, 96] from Operation: 84+12=96
Current State: 22:[38, 6, 96], Operations: ['84+12=96']
Exploring Operation: 96/6=16, Resulting Numbers: [38, 16]
Generated Node #3: [38, 16] from Operation: 96/6=16
Current State: 22:[38, 16], Operations: ['84+12=96', '96/6=16']
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
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