nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
57,
75,
13,
13
] | 75 | [
"13-13=0",
"57*0=0",
"75+0=75"
] | Current State: 75:[57, 75, 13, 13], Operations: []
Exploring Operation: 13-13=0, Resulting Numbers: [57, 75, 0]
Generated Node #2: [57, 75, 0] from Operation: 13-13=0
Current State: 75:[57, 75, 0], Operations: ['13-13=0']
Exploring Operation: 57*0=0, Resulting Numbers: [75, 0]
Generated Node #3: [75, 0] from Operation: 57*0=0
Current State: 75:[75, 0], Operations: ['13-13=0', '57*0=0']
Exploring Operation: 75+0=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
90,
85,
77,
93
] | 11 | [
"90-85=5",
"93-77=16",
"16-5=11"
] | Current State: 11:[90, 85, 77, 93], Operations: []
Exploring Operation: 90-85=5, Resulting Numbers: [77, 93, 5]
Generated Node #2: [77, 93, 5] from Operation: 90-85=5
Current State: 11:[77, 93, 5], Operations: ['90-85=5']
Exploring Operation: 93-77=16, Resulting Numbers: [5, 16]
Generated Node #3: [5, 16] from Operation: 93-77=16
Current State: 11:[5, 16], Operations: ['90-85=5', '93-77=16']
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
23,
77,
80,
7
] | 62 | [
"80-77=3",
"23*3=69",
"69-7=62"
] | Current State: 62:[23, 77, 80, 7], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [23, 7, 3]
Generated Node #2: [23, 7, 3] from Operation: 80-77=3
Current State: 62:[23, 7, 3], Operations: ['80-77=3']
Exploring Operation: 23*3=69, Resulting Numbers: [7, 69]
Generated Node #3: [7, 69] from Operation: 23*3=69
Current State: 62:[7, 69], Operations: ['80-77=3', '23*3=69']
Exploring Operation: 69-7=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
63,
46,
71,
45
] | 99 | [
"63-46=17",
"71+45=116",
"116-17=99"
] | Current State: 99:[63, 46, 71, 45], Operations: []
Exploring Operation: 63-46=17, Resulting Numbers: [71, 45, 17]
Generated Node #2: [71, 45, 17] from Operation: 63-46=17
Current State: 99:[71, 45, 17], Operations: ['63-46=17']
Exploring Operation: 71+45=116, Resulting Numbers: [17, 116]
Generated Node #3: [17, 116] from Operation: 71+45=116
Current State: 99:[17, 116], Operations: ['63-46=17', '71+45=116']
Exploring Operation: 116-17=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
33,
16,
4,
95
] | 28 | [
"33-16=17",
"95+17=112",
"112/4=28"
] | Current State: 28:[33, 16, 4, 95], Operations: []
Exploring Operation: 33-16=17, Resulting Numbers: [4, 95, 17]
Generated Node #2: [4, 95, 17] from Operation: 33-16=17
Current State: 28:[4, 95, 17], Operations: ['33-16=17']
Exploring Operation: 95+17=112, Resulting Numbers: [4, 112]
Generated Node #3: [4, 112] from Operation: 95+17=112
Current State: 28:[4, 112], Operations: ['33-16=17', '95+17=112']
Exploring Operation: 112/4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
14,
44,
2,
62
] | 94 | [
"44-14=30",
"2+62=64",
"30+64=94"
] | Current State: 94:[14, 44, 2, 62], Operations: []
Exploring Operation: 44-14=30, Resulting Numbers: [2, 62, 30]
Generated Node #2: [2, 62, 30] from Operation: 44-14=30
Current State: 94:[2, 62, 30], Operations: ['44-14=30']
Exploring Operation: 2+62=64, Resulting Numbers: [30, 64]
Generated Node #3: [30, 64] from Operation: 2+62=64
Current State: 94:[30, 64], Operations: ['44-14=30', '2+62=64']
Exploring Operation: 30+64=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
20,
70,
72,
59
] | 37 | [
"70-20=50",
"72-59=13",
"50-13=37"
] | Current State: 37:[20, 70, 72, 59], Operations: []
Exploring Operation: 70-20=50, Resulting Numbers: [72, 59, 50]
Generated Node #2: [72, 59, 50] from Operation: 70-20=50
Current State: 37:[72, 59, 50], Operations: ['70-20=50']
Exploring Operation: 72-59=13, Resulting Numbers: [50, 13]
Generated Node #3: [50, 13] from Operation: 72-59=13
Current State: 37:[50, 13], Operations: ['70-20=50', '72-59=13']
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
50,
49,
3,
32
] | 93 | [
"50-49=1",
"32-1=31",
"3*31=93"
] | Current State: 93:[50, 49, 3, 32], Operations: []
Exploring Operation: 50-49=1, Resulting Numbers: [3, 32, 1]
Generated Node #2: [3, 32, 1] from Operation: 50-49=1
Current State: 93:[3, 32, 1], Operations: ['50-49=1']
Exploring Operation: 32-1=31, Resulting Numbers: [3, 31]
Generated Node #3: [3, 31] from Operation: 32-1=31
Current State: 93:[3, 31], Operations: ['50-49=1', '32-1=31']
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
9,
67,
15,
66
] | 72 | [
"9+66=75",
"75/15=5",
"67+5=72"
] | Current State: 72:[9, 67, 15, 66], Operations: []
Exploring Operation: 9+66=75, Resulting Numbers: [67, 15, 75]
Generated Node #2: [67, 15, 75] from Operation: 9+66=75
Current State: 72:[67, 15, 75], Operations: ['9+66=75']
Exploring Operation: 75/15=5, Resulting Numbers: [67, 5]
Generated Node #3: [67, 5] from Operation: 75/15=5
Current State: 72:[67, 5], Operations: ['9+66=75', '75/15=5']
Exploring Operation: 67+5=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
39,
65,
52,
21
] | 42 | [
"39+65=104",
"104/52=2",
"21*2=42"
] | Current State: 42:[39, 65, 52, 21], Operations: []
Exploring Operation: 39+65=104, Resulting Numbers: [52, 21, 104]
Generated Node #2: [52, 21, 104] from Operation: 39+65=104
Current State: 42:[52, 21, 104], Operations: ['39+65=104']
Exploring Operation: 104/52=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 104/52=2
Current State: 42:[21, 2], Operations: ['39+65=104', '104/52=2']
Exploring Operation: 21*2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
53,
15,
13,
28
] | 83 | [
"53+15=68",
"28-13=15",
"68+15=83"
] | Current State: 83:[53, 15, 13, 28], Operations: []
Exploring Operation: 53+15=68, Resulting Numbers: [13, 28, 68]
Generated Node #2: [13, 28, 68] from Operation: 53+15=68
Current State: 83:[13, 28, 68], Operations: ['53+15=68']
Exploring Operation: 28-13=15, Resulting Numbers: [68, 15]
Generated Node #3: [68, 15] from Operation: 28-13=15
Current State: 83:[68, 15], Operations: ['53+15=68', '28-13=15']
Exploring Operation: 68+15=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
44,
1,
28,
95
] | 78 | [
"44+1=45",
"28+95=123",
"123-45=78"
] | Current State: 78:[44, 1, 28, 95], Operations: []
Exploring Operation: 44+1=45, Resulting Numbers: [28, 95, 45]
Generated Node #2: [28, 95, 45] from Operation: 44+1=45
Current State: 78:[28, 95, 45], Operations: ['44+1=45']
Exploring Operation: 28+95=123, Resulting Numbers: [45, 123]
Generated Node #3: [45, 123] from Operation: 28+95=123
Current State: 78:[45, 123], Operations: ['44+1=45', '28+95=123']
Exploring Operation: 123-45=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
90,
2,
55,
71
] | 72 | [
"90-2=88",
"71-55=16",
"88-16=72"
] | Current State: 72:[90, 2, 55, 71], Operations: []
Exploring Operation: 90-2=88, Resulting Numbers: [55, 71, 88]
Generated Node #2: [55, 71, 88] from Operation: 90-2=88
Current State: 72:[55, 71, 88], Operations: ['90-2=88']
Exploring Operation: 71-55=16, Resulting Numbers: [88, 16]
Generated Node #3: [88, 16] from Operation: 71-55=16
Current State: 72:[88, 16], Operations: ['90-2=88', '71-55=16']
Exploring Operation: 88-16=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
57,
15,
75,
72
] | 19 | [
"75-57=18",
"72/18=4",
"15+4=19"
] | Current State: 19:[57, 15, 75, 72], Operations: []
Exploring Operation: 75-57=18, Resulting Numbers: [15, 72, 18]
Generated Node #2: [15, 72, 18] from Operation: 75-57=18
Current State: 19:[15, 72, 18], Operations: ['75-57=18']
Exploring Operation: 72/18=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 72/18=4
Current State: 19:[15, 4], Operations: ['75-57=18', '72/18=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
11,
73,
2,
15
] | 92 | [
"73-11=62",
"2*15=30",
"62+30=92"
] | Current State: 92:[11, 73, 2, 15], Operations: []
Exploring Operation: 73-11=62, Resulting Numbers: [2, 15, 62]
Generated Node #2: [2, 15, 62] from Operation: 73-11=62
Current State: 92:[2, 15, 62], Operations: ['73-11=62']
Exploring Operation: 2*15=30, Resulting Numbers: [62, 30]
Generated Node #3: [62, 30] from Operation: 2*15=30
Current State: 92:[62, 30], Operations: ['73-11=62', '2*15=30']
Exploring Operation: 62+30=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
28,
3,
77,
29
] | 94 | [
"28+29=57",
"3*57=171",
"171-77=94"
] | Current State: 94:[28, 3, 77, 29], Operations: []
Exploring Operation: 28+29=57, Resulting Numbers: [3, 77, 57]
Generated Node #2: [3, 77, 57] from Operation: 28+29=57
Current State: 94:[3, 77, 57], Operations: ['28+29=57']
Exploring Operation: 3*57=171, Resulting Numbers: [77, 171]
Generated Node #3: [77, 171] from Operation: 3*57=171
Current State: 94:[77, 171], Operations: ['28+29=57', '3*57=171']
Exploring Operation: 171-77=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
99,
56,
48,
4
] | 95 | [
"99-56=43",
"48+4=52",
"43+52=95"
] | Current State: 95:[99, 56, 48, 4], Operations: []
Exploring Operation: 99-56=43, Resulting Numbers: [48, 4, 43]
Generated Node #2: [48, 4, 43] from Operation: 99-56=43
Current State: 95:[48, 4, 43], Operations: ['99-56=43']
Exploring Operation: 48+4=52, Resulting Numbers: [43, 52]
Generated Node #3: [43, 52] from Operation: 48+4=52
Current State: 95:[43, 52], Operations: ['99-56=43', '48+4=52']
Exploring Operation: 43+52=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
17,
36,
94,
12
] | 74 | [
"94-17=77",
"36/12=3",
"77-3=74"
] | Current State: 74:[17, 36, 94, 12], Operations: []
Exploring Operation: 94-17=77, Resulting Numbers: [36, 12, 77]
Generated Node #2: [36, 12, 77] from Operation: 94-17=77
Current State: 74:[36, 12, 77], Operations: ['94-17=77']
Exploring Operation: 36/12=3, Resulting Numbers: [77, 3]
Generated Node #3: [77, 3] from Operation: 36/12=3
Current State: 74:[77, 3], Operations: ['94-17=77', '36/12=3']
Exploring Operation: 77-3=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
80,
3,
69,
86
] | 100 | [
"80+3=83",
"86-69=17",
"83+17=100"
] | Current State: 100:[80, 3, 69, 86], Operations: []
Exploring Operation: 80+3=83, Resulting Numbers: [69, 86, 83]
Generated Node #2: [69, 86, 83] from Operation: 80+3=83
Current State: 100:[69, 86, 83], Operations: ['80+3=83']
Exploring Operation: 86-69=17, Resulting Numbers: [83, 17]
Generated Node #3: [83, 17] from Operation: 86-69=17
Current State: 100:[83, 17], Operations: ['80+3=83', '86-69=17']
Exploring Operation: 83+17=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
18,
74,
94,
84
] | 14 | [
"74+94=168",
"84+168=252",
"252/18=14"
] | Current State: 14:[18, 74, 94, 84], Operations: []
Exploring Operation: 74+94=168, Resulting Numbers: [18, 84, 168]
Generated Node #2: [18, 84, 168] from Operation: 74+94=168
Current State: 14:[18, 84, 168], Operations: ['74+94=168']
Exploring Operation: 84+168=252, Resulting Numbers: [18, 252]
Generated Node #3: [18, 252] from Operation: 84+168=252
Current State: 14:[18, 252], Operations: ['74+94=168', '84+168=252']
Exploring Operation: 252/18=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
97,
39,
74,
2
] | 21 | [
"97-39=58",
"74/2=37",
"58-37=21"
] | Current State: 21:[97, 39, 74, 2], Operations: []
Exploring Operation: 97-39=58, Resulting Numbers: [74, 2, 58]
Generated Node #2: [74, 2, 58] from Operation: 97-39=58
Current State: 21:[74, 2, 58], Operations: ['97-39=58']
Exploring Operation: 74/2=37, Resulting Numbers: [58, 37]
Generated Node #3: [58, 37] from Operation: 74/2=37
Current State: 21:[58, 37], Operations: ['97-39=58', '74/2=37']
Exploring Operation: 58-37=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
50,
17,
39,
80
] | 57 | [
"39+80=119",
"119/17=7",
"50+7=57"
] | Current State: 57:[50, 17, 39, 80], Operations: []
Exploring Operation: 39+80=119, Resulting Numbers: [50, 17, 119]
Generated Node #2: [50, 17, 119] from Operation: 39+80=119
Current State: 57:[50, 17, 119], Operations: ['39+80=119']
Exploring Operation: 119/17=7, Resulting Numbers: [50, 7]
Generated Node #3: [50, 7] from Operation: 119/17=7
Current State: 57:[50, 7], Operations: ['39+80=119', '119/17=7']
Exploring Operation: 50+7=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
76,
61,
99,
50
] | 39 | [
"76*50=3800",
"61+3800=3861",
"3861/99=39"
] | Current State: 39:[76, 61, 99, 50], Operations: []
Exploring Operation: 76*50=3800, Resulting Numbers: [61, 99, 3800]
Generated Node #2: [61, 99, 3800] from Operation: 76*50=3800
Current State: 39:[61, 99, 3800], Operations: ['76*50=3800']
Exploring Operation: 61+3800=3861, Resulting Numbers: [99, 3861]
Generated Node #3: [99, 3861] from Operation: 61+3800=3861
Current State: 39:[99, 3861], Operations: ['76*50=3800', '61+3800=3861']
Exploring Operation: 3861/99=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
28,
14,
1,
28
] | 42 | [
"28-14=14",
"1*28=28",
"14+28=42"
] | Current State: 42:[28, 14, 1, 28], Operations: []
Exploring Operation: 28-14=14, Resulting Numbers: [1, 14]
Generated Node #2: [1, 14] from Operation: 28-14=14
Current State: 42:[1, 14], Operations: ['28-14=14']
Exploring Operation: 1*28=28, Resulting Numbers: [14, 28]
Generated Node #3: [14, 28] from Operation: 1*28=28
Current State: 42:[14, 28], Operations: ['28-14=14', '1*28=28']
Exploring Operation: 14+28=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
3,
41,
63,
5
] | 81 | [
"63-41=22",
"5+22=27",
"3*27=81"
] | Current State: 81:[3, 41, 63, 5], Operations: []
Exploring Operation: 63-41=22, Resulting Numbers: [3, 5, 22]
Generated Node #2: [3, 5, 22] from Operation: 63-41=22
Current State: 81:[3, 5, 22], Operations: ['63-41=22']
Exploring Operation: 5+22=27, Resulting Numbers: [3, 27]
Generated Node #3: [3, 27] from Operation: 5+22=27
Current State: 81:[3, 27], Operations: ['63-41=22', '5+22=27']
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
66,
80,
80,
99
] | 40 | [
"80*99=7920",
"7920/66=120",
"120-80=40"
] | Current State: 40:[66, 80, 80, 99], Operations: []
Exploring Operation: 80*99=7920, Resulting Numbers: [66, 7920]
Generated Node #2: [66, 7920] from Operation: 80*99=7920
Current State: 40:[66, 7920], Operations: ['80*99=7920']
Exploring Operation: 7920/66=120, Resulting Numbers: [120]
120,40 equal: Goal Reached
Exploring Operation: 120-80=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
80,
56,
84,
14
] | 59 | [
"56/14=4",
"84/4=21",
"80-21=59"
] | Current State: 59:[80, 56, 84, 14], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [80, 84, 4]
Generated Node #2: [80, 84, 4] from Operation: 56/14=4
Current State: 59:[80, 84, 4], Operations: ['56/14=4']
Exploring Operation: 84/4=21, Resulting Numbers: [80, 21]
Generated Node #3: [80, 21] from Operation: 84/4=21
Current State: 59:[80, 21], Operations: ['56/14=4', '84/4=21']
Exploring Operation: 80-21=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
36,
84,
98,
70
] | 20 | [
"84-36=48",
"98-70=28",
"48-28=20"
] | Current State: 20:[36, 84, 98, 70], Operations: []
Exploring Operation: 84-36=48, Resulting Numbers: [98, 70, 48]
Generated Node #2: [98, 70, 48] from Operation: 84-36=48
Current State: 20:[98, 70, 48], Operations: ['84-36=48']
Exploring Operation: 98-70=28, Resulting Numbers: [48, 28]
Generated Node #3: [48, 28] from Operation: 98-70=28
Current State: 20:[48, 28], Operations: ['84-36=48', '98-70=28']
Exploring Operation: 48-28=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
93,
70,
47,
47
] | 70 | [
"93-47=46",
"47-46=1",
"70*1=70"
] | Current State: 70:[93, 70, 47, 47], Operations: []
Exploring Operation: 93-47=46, Resulting Numbers: [70, 46]
Generated Node #2: [70, 46] from Operation: 93-47=46
Current State: 70:[70, 46], Operations: ['93-47=46']
Exploring Operation: 47-46=1, Resulting Numbers: [70, 1]
Generated Node #3: [70, 1] from Operation: 47-46=1
Current State: 70:[70, 1], Operations: ['93-47=46', '47-46=1']
Exploring Operation: 70*1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
49,
86,
74,
30
] | 15 | [
"86-49=37",
"74/37=2",
"30/2=15"
] | Current State: 15:[49, 86, 74, 30], Operations: []
Exploring Operation: 86-49=37, Resulting Numbers: [74, 30, 37]
Generated Node #2: [74, 30, 37] from Operation: 86-49=37
Current State: 15:[74, 30, 37], Operations: ['86-49=37']
Exploring Operation: 74/37=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 74/37=2
Current State: 15:[30, 2], Operations: ['86-49=37', '74/37=2']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
24,
28,
16,
7
] | 32 | [
"24-16=8",
"28/7=4",
"8*4=32"
] | Current State: 32:[24, 28, 16, 7], Operations: []
Exploring Operation: 24-16=8, Resulting Numbers: [28, 7, 8]
Generated Node #2: [28, 7, 8] from Operation: 24-16=8
Current State: 32:[28, 7, 8], Operations: ['24-16=8']
Exploring Operation: 28/7=4, Resulting Numbers: [8, 4]
Generated Node #3: [8, 4] from Operation: 28/7=4
Current State: 32:[8, 4], Operations: ['24-16=8', '28/7=4']
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
67,
57,
83,
52
] | 30 | [
"67+83=150",
"57-52=5",
"150/5=30"
] | Current State: 30:[67, 57, 83, 52], Operations: []
Exploring Operation: 67+83=150, Resulting Numbers: [57, 52, 150]
Generated Node #2: [57, 52, 150] from Operation: 67+83=150
Current State: 30:[57, 52, 150], Operations: ['67+83=150']
Exploring Operation: 57-52=5, Resulting Numbers: [150, 5]
Generated Node #3: [150, 5] from Operation: 57-52=5
Current State: 30:[150, 5], Operations: ['67+83=150', '57-52=5']
Exploring Operation: 150/5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
57,
16,
80,
58
] | 51 | [
"57+16=73",
"80-58=22",
"73-22=51"
] | Current State: 51:[57, 16, 80, 58], Operations: []
Exploring Operation: 57+16=73, Resulting Numbers: [80, 58, 73]
Generated Node #2: [80, 58, 73] from Operation: 57+16=73
Current State: 51:[80, 58, 73], Operations: ['57+16=73']
Exploring Operation: 80-58=22, Resulting Numbers: [73, 22]
Generated Node #3: [73, 22] from Operation: 80-58=22
Current State: 51:[73, 22], Operations: ['57+16=73', '80-58=22']
Exploring Operation: 73-22=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
82,
57,
63,
8
] | 11 | [
"82-57=25",
"63+25=88",
"88/8=11"
] | Current State: 11:[82, 57, 63, 8], Operations: []
Exploring Operation: 82-57=25, Resulting Numbers: [63, 8, 25]
Generated Node #2: [63, 8, 25] from Operation: 82-57=25
Current State: 11:[63, 8, 25], Operations: ['82-57=25']
Exploring Operation: 63+25=88, Resulting Numbers: [8, 88]
Generated Node #3: [8, 88] from Operation: 63+25=88
Current State: 11:[8, 88], Operations: ['82-57=25', '63+25=88']
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
4,
75,
70,
3
] | 52 | [
"75-3=72",
"72/4=18",
"70-18=52"
] | Current State: 52:[4, 75, 70, 3], Operations: []
Exploring Operation: 75-3=72, Resulting Numbers: [4, 70, 72]
Generated Node #2: [4, 70, 72] from Operation: 75-3=72
Current State: 52:[4, 70, 72], Operations: ['75-3=72']
Exploring Operation: 72/4=18, Resulting Numbers: [70, 18]
Generated Node #3: [70, 18] from Operation: 72/4=18
Current State: 52:[70, 18], Operations: ['75-3=72', '72/4=18']
Exploring Operation: 70-18=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
97,
12,
28,
90
] | 47 | [
"97+12=109",
"90-28=62",
"109-62=47"
] | Current State: 47:[97, 12, 28, 90], Operations: []
Exploring Operation: 97+12=109, Resulting Numbers: [28, 90, 109]
Generated Node #2: [28, 90, 109] from Operation: 97+12=109
Current State: 47:[28, 90, 109], Operations: ['97+12=109']
Exploring Operation: 90-28=62, Resulting Numbers: [109, 62]
Generated Node #3: [109, 62] from Operation: 90-28=62
Current State: 47:[109, 62], Operations: ['97+12=109', '90-28=62']
Exploring Operation: 109-62=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
51,
91,
11,
17
] | 68 | [
"91-51=40",
"11+17=28",
"40+28=68"
] | Current State: 68:[51, 91, 11, 17], Operations: []
Exploring Operation: 91-51=40, Resulting Numbers: [11, 17, 40]
Generated Node #2: [11, 17, 40] from Operation: 91-51=40
Current State: 68:[11, 17, 40], Operations: ['91-51=40']
Exploring Operation: 11+17=28, Resulting Numbers: [40, 28]
Generated Node #3: [40, 28] from Operation: 11+17=28
Current State: 68:[40, 28], Operations: ['91-51=40', '11+17=28']
Exploring Operation: 40+28=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
10,
44,
18,
80
] | 42 | [
"10*80=800",
"800-44=756",
"756/18=42"
] | Current State: 42:[10, 44, 18, 80], Operations: []
Exploring Operation: 10*80=800, Resulting Numbers: [44, 18, 800]
Generated Node #2: [44, 18, 800] from Operation: 10*80=800
Current State: 42:[44, 18, 800], Operations: ['10*80=800']
Exploring Operation: 800-44=756, Resulting Numbers: [18, 756]
Generated Node #3: [18, 756] from Operation: 800-44=756
Current State: 42:[18, 756], Operations: ['10*80=800', '800-44=756']
Exploring Operation: 756/18=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
86,
46,
77,
34
] | 21 | [
"86+46=132",
"77+34=111",
"132-111=21"
] | Current State: 21:[86, 46, 77, 34], Operations: []
Exploring Operation: 86+46=132, Resulting Numbers: [77, 34, 132]
Generated Node #2: [77, 34, 132] from Operation: 86+46=132
Current State: 21:[77, 34, 132], Operations: ['86+46=132']
Exploring Operation: 77+34=111, Resulting Numbers: [132, 111]
Generated Node #3: [132, 111] from Operation: 77+34=111
Current State: 21:[132, 111], Operations: ['86+46=132', '77+34=111']
Exploring Operation: 132-111=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
31,
30,
3,
82
] | 84 | [
"31-30=1",
"3+82=85",
"85-1=84"
] | Current State: 84:[31, 30, 3, 82], Operations: []
Exploring Operation: 31-30=1, Resulting Numbers: [3, 82, 1]
Generated Node #2: [3, 82, 1] from Operation: 31-30=1
Current State: 84:[3, 82, 1], Operations: ['31-30=1']
Exploring Operation: 3+82=85, Resulting Numbers: [1, 85]
Generated Node #3: [1, 85] from Operation: 3+82=85
Current State: 84:[1, 85], Operations: ['31-30=1', '3+82=85']
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
13,
85,
62,
78
] | 68 | [
"85-13=72",
"62+78=140",
"140-72=68"
] | Current State: 68:[13, 85, 62, 78], Operations: []
Exploring Operation: 85-13=72, Resulting Numbers: [62, 78, 72]
Generated Node #2: [62, 78, 72] from Operation: 85-13=72
Current State: 68:[62, 78, 72], Operations: ['85-13=72']
Exploring Operation: 62+78=140, Resulting Numbers: [72, 140]
Generated Node #3: [72, 140] from Operation: 62+78=140
Current State: 68:[72, 140], Operations: ['85-13=72', '62+78=140']
Exploring Operation: 140-72=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
89,
78,
17,
87
] | 100 | [
"89-78=11",
"17*11=187",
"187-87=100"
] | Current State: 100:[89, 78, 17, 87], Operations: []
Exploring Operation: 89-78=11, Resulting Numbers: [17, 87, 11]
Generated Node #2: [17, 87, 11] from Operation: 89-78=11
Current State: 100:[17, 87, 11], Operations: ['89-78=11']
Exploring Operation: 17*11=187, Resulting Numbers: [87, 187]
Generated Node #3: [87, 187] from Operation: 17*11=187
Current State: 100:[87, 187], Operations: ['89-78=11', '17*11=187']
Exploring Operation: 187-87=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
16,
73,
96,
77
] | 19 | [
"16*96=1536",
"1536-73=1463",
"1463/77=19"
] | Current State: 19:[16, 73, 96, 77], Operations: []
Exploring Operation: 16*96=1536, Resulting Numbers: [73, 77, 1536]
Generated Node #2: [73, 77, 1536] from Operation: 16*96=1536
Current State: 19:[73, 77, 1536], Operations: ['16*96=1536']
Exploring Operation: 1536-73=1463, Resulting Numbers: [77, 1463]
Generated Node #3: [77, 1463] from Operation: 1536-73=1463
Current State: 19:[77, 1463], Operations: ['16*96=1536', '1536-73=1463']
Exploring Operation: 1463/77=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
6,
1,
50,
22
] | 88 | [
"1+22=23",
"6*23=138",
"138-50=88"
] | Current State: 88:[6, 1, 50, 22], Operations: []
Exploring Operation: 1+22=23, Resulting Numbers: [6, 50, 23]
Generated Node #2: [6, 50, 23] from Operation: 1+22=23
Current State: 88:[6, 50, 23], Operations: ['1+22=23']
Exploring Operation: 6*23=138, Resulting Numbers: [50, 138]
Generated Node #3: [50, 138] from Operation: 6*23=138
Current State: 88:[50, 138], Operations: ['1+22=23', '6*23=138']
Exploring Operation: 138-50=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
96,
19,
75,
90
] | 61 | [
"96*75=7200",
"7200/90=80",
"80-19=61"
] | Current State: 61:[96, 19, 75, 90], Operations: []
Exploring Operation: 96*75=7200, Resulting Numbers: [19, 90, 7200]
Generated Node #2: [19, 90, 7200] from Operation: 96*75=7200
Current State: 61:[19, 90, 7200], Operations: ['96*75=7200']
Exploring Operation: 7200/90=80, Resulting Numbers: [19, 80]
Generated Node #3: [19, 80] from Operation: 7200/90=80
Current State: 61:[19, 80], Operations: ['96*75=7200', '7200/90=80']
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
75,
7,
77,
2
] | 69 | [
"75+77=152",
"152/2=76",
"76-7=69"
] | Current State: 69:[75, 7, 77, 2], Operations: []
Exploring Operation: 75+77=152, Resulting Numbers: [7, 2, 152]
Generated Node #2: [7, 2, 152] from Operation: 75+77=152
Current State: 69:[7, 2, 152], Operations: ['75+77=152']
Exploring Operation: 152/2=76, Resulting Numbers: [7, 76]
Generated Node #3: [7, 76] from Operation: 152/2=76
Current State: 69:[7, 76], Operations: ['75+77=152', '152/2=76']
Exploring Operation: 76-7=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
9,
18,
94,
50
] | 53 | [
"18-9=9",
"94-50=44",
"9+44=53"
] | Current State: 53:[9, 18, 94, 50], Operations: []
Exploring Operation: 18-9=9, Resulting Numbers: [94, 50, 9]
Generated Node #2: [94, 50, 9] from Operation: 18-9=9
Current State: 53:[94, 50, 9], Operations: ['18-9=9']
Exploring Operation: 94-50=44, Resulting Numbers: [9, 44]
Generated Node #3: [9, 44] from Operation: 94-50=44
Current State: 53:[9, 44], Operations: ['18-9=9', '94-50=44']
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
81,
48,
71,
68
] | 99 | [
"81-48=33",
"71-68=3",
"33*3=99"
] | Current State: 99:[81, 48, 71, 68], Operations: []
Exploring Operation: 81-48=33, Resulting Numbers: [71, 68, 33]
Generated Node #2: [71, 68, 33] from Operation: 81-48=33
Current State: 99:[71, 68, 33], Operations: ['81-48=33']
Exploring Operation: 71-68=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 71-68=3
Current State: 99:[33, 3], Operations: ['81-48=33', '71-68=3']
Exploring Operation: 33*3=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
99,
93,
6,
39
] | 38 | [
"99-93=6",
"6/6=1",
"39-1=38"
] | Current State: 38:[99, 93, 6, 39], Operations: []
Exploring Operation: 99-93=6, Resulting Numbers: [6, 39, 6]
Generated Node #2: [6, 39, 6] from Operation: 99-93=6
Current State: 38:[6, 39, 6], Operations: ['99-93=6']
Exploring Operation: 6/6=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 6/6=1
Current State: 38:[39, 1], Operations: ['99-93=6', '6/6=1']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
50,
43,
98,
3
] | 42 | [
"50-43=7",
"98*3=294",
"294/7=42"
] | Current State: 42:[50, 43, 98, 3], Operations: []
Exploring Operation: 50-43=7, Resulting Numbers: [98, 3, 7]
Generated Node #2: [98, 3, 7] from Operation: 50-43=7
Current State: 42:[98, 3, 7], Operations: ['50-43=7']
Exploring Operation: 98*3=294, Resulting Numbers: [7, 294]
Generated Node #3: [7, 294] from Operation: 98*3=294
Current State: 42:[7, 294], Operations: ['50-43=7', '98*3=294']
Exploring Operation: 294/7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
4,
5,
26,
34
] | 49 | [
"5*34=170",
"26+170=196",
"196/4=49"
] | Current State: 49:[4, 5, 26, 34], Operations: []
Exploring Operation: 5*34=170, Resulting Numbers: [4, 26, 170]
Generated Node #2: [4, 26, 170] from Operation: 5*34=170
Current State: 49:[4, 26, 170], Operations: ['5*34=170']
Exploring Operation: 26+170=196, Resulting Numbers: [4, 196]
Generated Node #3: [4, 196] from Operation: 26+170=196
Current State: 49:[4, 196], Operations: ['5*34=170', '26+170=196']
Exploring Operation: 196/4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
76,
72,
40,
75
] | 59 | [
"72*75=5400",
"5400/40=135",
"135-76=59"
] | Current State: 59:[76, 72, 40, 75], Operations: []
Exploring Operation: 72*75=5400, Resulting Numbers: [76, 40, 5400]
Generated Node #2: [76, 40, 5400] from Operation: 72*75=5400
Current State: 59:[76, 40, 5400], Operations: ['72*75=5400']
Exploring Operation: 5400/40=135, Resulting Numbers: [76, 135]
Generated Node #3: [76, 135] from Operation: 5400/40=135
Current State: 59:[76, 135], Operations: ['72*75=5400', '5400/40=135']
Exploring Operation: 135-76=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
7,
24,
43,
82
] | 51 | [
"43-24=19",
"7*19=133",
"133-82=51"
] | Current State: 51:[7, 24, 43, 82], Operations: []
Exploring Operation: 43-24=19, Resulting Numbers: [7, 82, 19]
Generated Node #2: [7, 82, 19] from Operation: 43-24=19
Current State: 51:[7, 82, 19], Operations: ['43-24=19']
Exploring Operation: 7*19=133, Resulting Numbers: [82, 133]
Generated Node #3: [82, 133] from Operation: 7*19=133
Current State: 51:[82, 133], Operations: ['43-24=19', '7*19=133']
Exploring Operation: 133-82=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
68,
49,
30,
56
] | 67 | [
"68-49=19",
"30+56=86",
"86-19=67"
] | Current State: 67:[68, 49, 30, 56], Operations: []
Exploring Operation: 68-49=19, Resulting Numbers: [30, 56, 19]
Generated Node #2: [30, 56, 19] from Operation: 68-49=19
Current State: 67:[30, 56, 19], Operations: ['68-49=19']
Exploring Operation: 30+56=86, Resulting Numbers: [19, 86]
Generated Node #3: [19, 86] from Operation: 30+56=86
Current State: 67:[19, 86], Operations: ['68-49=19', '30+56=86']
Exploring Operation: 86-19=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
25,
49,
71,
93
] | 23 | [
"49+93=142",
"142/71=2",
"25-2=23"
] | Current State: 23:[25, 49, 71, 93], Operations: []
Exploring Operation: 49+93=142, Resulting Numbers: [25, 71, 142]
Generated Node #2: [25, 71, 142] from Operation: 49+93=142
Current State: 23:[25, 71, 142], Operations: ['49+93=142']
Exploring Operation: 142/71=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 142/71=2
Current State: 23:[25, 2], Operations: ['49+93=142', '142/71=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
29,
56,
95,
44
] | 78 | [
"56-29=27",
"95-44=51",
"27+51=78"
] | Current State: 78:[29, 56, 95, 44], Operations: []
Exploring Operation: 56-29=27, Resulting Numbers: [95, 44, 27]
Generated Node #2: [95, 44, 27] from Operation: 56-29=27
Current State: 78:[95, 44, 27], Operations: ['56-29=27']
Exploring Operation: 95-44=51, Resulting Numbers: [27, 51]
Generated Node #3: [27, 51] from Operation: 95-44=51
Current State: 78:[27, 51], Operations: ['56-29=27', '95-44=51']
Exploring Operation: 27+51=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
32,
55,
60,
50
] | 100 | [
"55-50=5",
"32*5=160",
"160-60=100"
] | Current State: 100:[32, 55, 60, 50], Operations: []
Exploring Operation: 55-50=5, Resulting Numbers: [32, 60, 5]
Generated Node #2: [32, 60, 5] from Operation: 55-50=5
Current State: 100:[32, 60, 5], Operations: ['55-50=5']
Exploring Operation: 32*5=160, Resulting Numbers: [60, 160]
Generated Node #3: [60, 160] from Operation: 32*5=160
Current State: 100:[60, 160], Operations: ['55-50=5', '32*5=160']
Exploring Operation: 160-60=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
40,
33,
44,
11
] | 77 | [
"40+33=73",
"44/11=4",
"73+4=77"
] | Current State: 77:[40, 33, 44, 11], Operations: []
Exploring Operation: 40+33=73, Resulting Numbers: [44, 11, 73]
Generated Node #2: [44, 11, 73] from Operation: 40+33=73
Current State: 77:[44, 11, 73], Operations: ['40+33=73']
Exploring Operation: 44/11=4, Resulting Numbers: [73, 4]
Generated Node #3: [73, 4] from Operation: 44/11=4
Current State: 77:[73, 4], Operations: ['40+33=73', '44/11=4']
Exploring Operation: 73+4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
16,
39,
44,
94
] | 83 | [
"16+39=55",
"44+94=138",
"138-55=83"
] | Current State: 83:[16, 39, 44, 94], Operations: []
Exploring Operation: 16+39=55, Resulting Numbers: [44, 94, 55]
Generated Node #2: [44, 94, 55] from Operation: 16+39=55
Current State: 83:[44, 94, 55], Operations: ['16+39=55']
Exploring Operation: 44+94=138, Resulting Numbers: [55, 138]
Generated Node #3: [55, 138] from Operation: 44+94=138
Current State: 83:[55, 138], Operations: ['16+39=55', '44+94=138']
Exploring Operation: 138-55=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
33,
45,
3,
23
] | 11 | [
"33/3=11",
"45-23=22",
"22-11=11"
] | Current State: 11:[33, 45, 3, 23], Operations: []
Exploring Operation: 33/3=11, Resulting Numbers: [45, 23, 11]
Generated Node #2: [45, 23, 11] from Operation: 33/3=11
Current State: 11:[45, 23, 11], Operations: ['33/3=11']
Exploring Operation: 45-23=22, Resulting Numbers: [11, 22]
Generated Node #3: [11, 22] from Operation: 45-23=22
Current State: 11:[11, 22], Operations: ['33/3=11', '45-23=22']
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
63,
66,
51,
14
] | 63 | [
"66-51=15",
"15-14=1",
"63*1=63"
] | Current State: 63:[63, 66, 51, 14], Operations: []
Exploring Operation: 66-51=15, Resulting Numbers: [63, 14, 15]
Generated Node #2: [63, 14, 15] from Operation: 66-51=15
Current State: 63:[63, 14, 15], Operations: ['66-51=15']
Exploring Operation: 15-14=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 15-14=1
Current State: 63:[63, 1], Operations: ['66-51=15', '15-14=1']
Exploring Operation: 63*1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
10,
40,
79,
33
] | 60 | [
"79-40=39",
"39-33=6",
"10*6=60"
] | Current State: 60:[10, 40, 79, 33], Operations: []
Exploring Operation: 79-40=39, Resulting Numbers: [10, 33, 39]
Generated Node #2: [10, 33, 39] from Operation: 79-40=39
Current State: 60:[10, 33, 39], Operations: ['79-40=39']
Exploring Operation: 39-33=6, Resulting Numbers: [10, 6]
Generated Node #3: [10, 6] from Operation: 39-33=6
Current State: 60:[10, 6], Operations: ['79-40=39', '39-33=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
49,
74,
94,
22
] | 91 | [
"74-49=25",
"94+22=116",
"116-25=91"
] | Current State: 91:[49, 74, 94, 22], Operations: []
Exploring Operation: 74-49=25, Resulting Numbers: [94, 22, 25]
Generated Node #2: [94, 22, 25] from Operation: 74-49=25
Current State: 91:[94, 22, 25], Operations: ['74-49=25']
Exploring Operation: 94+22=116, Resulting Numbers: [25, 116]
Generated Node #3: [25, 116] from Operation: 94+22=116
Current State: 91:[25, 116], Operations: ['74-49=25', '94+22=116']
Exploring Operation: 116-25=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
52,
52,
84,
82
] | 84 | [
"52-52=0",
"82*0=0",
"84+0=84"
] | Current State: 84:[52, 52, 84, 82], Operations: []
Exploring Operation: 52-52=0, Resulting Numbers: [84, 82, 0]
Generated Node #2: [84, 82, 0] from Operation: 52-52=0
Current State: 84:[84, 82, 0], Operations: ['52-52=0']
Exploring Operation: 82*0=0, Resulting Numbers: [84, 0]
Generated Node #3: [84, 0] from Operation: 82*0=0
Current State: 84:[84, 0], Operations: ['52-52=0', '82*0=0']
Exploring Operation: 84+0=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
80,
26,
52,
90
] | 36 | [
"80+26=106",
"52+90=142",
"142-106=36"
] | Current State: 36:[80, 26, 52, 90], Operations: []
Exploring Operation: 80+26=106, Resulting Numbers: [52, 90, 106]
Generated Node #2: [52, 90, 106] from Operation: 80+26=106
Current State: 36:[52, 90, 106], Operations: ['80+26=106']
Exploring Operation: 52+90=142, Resulting Numbers: [106, 142]
Generated Node #3: [106, 142] from Operation: 52+90=142
Current State: 36:[106, 142], Operations: ['80+26=106', '52+90=142']
Exploring Operation: 142-106=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
14,
8,
7,
45
] | 46 | [
"14-8=6",
"7+45=52",
"52-6=46"
] | Current State: 46:[14, 8, 7, 45], Operations: []
Exploring Operation: 14-8=6, Resulting Numbers: [7, 45, 6]
Generated Node #2: [7, 45, 6] from Operation: 14-8=6
Current State: 46:[7, 45, 6], Operations: ['14-8=6']
Exploring Operation: 7+45=52, Resulting Numbers: [6, 52]
Generated Node #3: [6, 52] from Operation: 7+45=52
Current State: 46:[6, 52], Operations: ['14-8=6', '7+45=52']
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
94,
95,
59,
19
] | 79 | [
"95-94=1",
"59+19=78",
"1+78=79"
] | Current State: 79:[94, 95, 59, 19], Operations: []
Exploring Operation: 95-94=1, Resulting Numbers: [59, 19, 1]
Generated Node #2: [59, 19, 1] from Operation: 95-94=1
Current State: 79:[59, 19, 1], Operations: ['95-94=1']
Exploring Operation: 59+19=78, Resulting Numbers: [1, 78]
Generated Node #3: [1, 78] from Operation: 59+19=78
Current State: 79:[1, 78], Operations: ['95-94=1', '59+19=78']
Exploring Operation: 1+78=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
52,
8,
10,
16
] | 84 | [
"52-10=42",
"16/8=2",
"42*2=84"
] | Current State: 84:[52, 8, 10, 16], Operations: []
Exploring Operation: 52-10=42, Resulting Numbers: [8, 16, 42]
Generated Node #2: [8, 16, 42] from Operation: 52-10=42
Current State: 84:[8, 16, 42], Operations: ['52-10=42']
Exploring Operation: 16/8=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 16/8=2
Current State: 84:[42, 2], Operations: ['52-10=42', '16/8=2']
Exploring Operation: 42*2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
58,
3,
27,
37
] | 56 | [
"58-27=31",
"3*31=93",
"93-37=56"
] | Current State: 56:[58, 3, 27, 37], Operations: []
Exploring Operation: 58-27=31, Resulting Numbers: [3, 37, 31]
Generated Node #2: [3, 37, 31] from Operation: 58-27=31
Current State: 56:[3, 37, 31], Operations: ['58-27=31']
Exploring Operation: 3*31=93, Resulting Numbers: [37, 93]
Generated Node #3: [37, 93] from Operation: 3*31=93
Current State: 56:[37, 93], Operations: ['58-27=31', '3*31=93']
Exploring Operation: 93-37=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
26,
62,
6,
10
] | 72 | [
"26+62=88",
"6+10=16",
"88-16=72"
] | Current State: 72:[26, 62, 6, 10], Operations: []
Exploring Operation: 26+62=88, Resulting Numbers: [6, 10, 88]
Generated Node #2: [6, 10, 88] from Operation: 26+62=88
Current State: 72:[6, 10, 88], Operations: ['26+62=88']
Exploring Operation: 6+10=16, Resulting Numbers: [88, 16]
Generated Node #3: [88, 16] from Operation: 6+10=16
Current State: 72:[88, 16], Operations: ['26+62=88', '6+10=16']
Exploring Operation: 88-16=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
8,
12,
45,
15
] | 72 | [
"45/15=3",
"12-3=9",
"8*9=72"
] | Current State: 72:[8, 12, 45, 15], Operations: []
Exploring Operation: 45/15=3, Resulting Numbers: [8, 12, 3]
Generated Node #2: [8, 12, 3] from Operation: 45/15=3
Current State: 72:[8, 12, 3], Operations: ['45/15=3']
Exploring Operation: 12-3=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 12-3=9
Current State: 72:[8, 9], Operations: ['45/15=3', '12-3=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
4,
21,
2,
10
] | 37 | [
"4+21=25",
"2+10=12",
"25+12=37"
] | Current State: 37:[4, 21, 2, 10], Operations: []
Exploring Operation: 4+21=25, Resulting Numbers: [2, 10, 25]
Generated Node #2: [2, 10, 25] from Operation: 4+21=25
Current State: 37:[2, 10, 25], Operations: ['4+21=25']
Exploring Operation: 2+10=12, Resulting Numbers: [25, 12]
Generated Node #3: [25, 12] from Operation: 2+10=12
Current State: 37:[25, 12], Operations: ['4+21=25', '2+10=12']
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
89,
77,
54,
43
] | 85 | [
"89-77=12",
"54+43=97",
"97-12=85"
] | Current State: 85:[89, 77, 54, 43], Operations: []
Exploring Operation: 89-77=12, Resulting Numbers: [54, 43, 12]
Generated Node #2: [54, 43, 12] from Operation: 89-77=12
Current State: 85:[54, 43, 12], Operations: ['89-77=12']
Exploring Operation: 54+43=97, Resulting Numbers: [12, 97]
Generated Node #3: [12, 97] from Operation: 54+43=97
Current State: 85:[12, 97], Operations: ['89-77=12', '54+43=97']
Exploring Operation: 97-12=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
92,
2,
12,
74
] | 77 | [
"92-12=80",
"74+80=154",
"154/2=77"
] | Current State: 77:[92, 2, 12, 74], Operations: []
Exploring Operation: 92-12=80, Resulting Numbers: [2, 74, 80]
Generated Node #2: [2, 74, 80] from Operation: 92-12=80
Current State: 77:[2, 74, 80], Operations: ['92-12=80']
Exploring Operation: 74+80=154, Resulting Numbers: [2, 154]
Generated Node #3: [2, 154] from Operation: 74+80=154
Current State: 77:[2, 154], Operations: ['92-12=80', '74+80=154']
Exploring Operation: 154/2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
34,
65,
67,
18
] | 35 | [
"67-65=2",
"34/2=17",
"18+17=35"
] | Current State: 35:[34, 65, 67, 18], Operations: []
Exploring Operation: 67-65=2, Resulting Numbers: [34, 18, 2]
Generated Node #2: [34, 18, 2] from Operation: 67-65=2
Current State: 35:[34, 18, 2], Operations: ['67-65=2']
Exploring Operation: 34/2=17, Resulting Numbers: [18, 17]
Generated Node #3: [18, 17] from Operation: 34/2=17
Current State: 35:[18, 17], Operations: ['67-65=2', '34/2=17']
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
84,
55,
48,
85
] | 66 | [
"84-55=29",
"85-48=37",
"29+37=66"
] | Current State: 66:[84, 55, 48, 85], Operations: []
Exploring Operation: 84-55=29, Resulting Numbers: [48, 85, 29]
Generated Node #2: [48, 85, 29] from Operation: 84-55=29
Current State: 66:[48, 85, 29], Operations: ['84-55=29']
Exploring Operation: 85-48=37, Resulting Numbers: [29, 37]
Generated Node #3: [29, 37] from Operation: 85-48=37
Current State: 66:[29, 37], Operations: ['84-55=29', '85-48=37']
Exploring Operation: 29+37=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
13,
26,
79,
12
] | 89 | [
"26/13=2",
"79+12=91",
"91-2=89"
] | Current State: 89:[13, 26, 79, 12], Operations: []
Exploring Operation: 26/13=2, Resulting Numbers: [79, 12, 2]
Generated Node #2: [79, 12, 2] from Operation: 26/13=2
Current State: 89:[79, 12, 2], Operations: ['26/13=2']
Exploring Operation: 79+12=91, Resulting Numbers: [2, 91]
Generated Node #3: [2, 91] from Operation: 79+12=91
Current State: 89:[2, 91], Operations: ['26/13=2', '79+12=91']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
98,
84,
81,
55
] | 51 | [
"98+55=153",
"84-81=3",
"153/3=51"
] | Current State: 51:[98, 84, 81, 55], Operations: []
Exploring Operation: 98+55=153, Resulting Numbers: [84, 81, 153]
Generated Node #2: [84, 81, 153] from Operation: 98+55=153
Current State: 51:[84, 81, 153], Operations: ['98+55=153']
Exploring Operation: 84-81=3, Resulting Numbers: [153, 3]
Generated Node #3: [153, 3] from Operation: 84-81=3
Current State: 51:[153, 3], Operations: ['98+55=153', '84-81=3']
Exploring Operation: 153/3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
71,
64,
67,
85
] | 52 | [
"71+85=156",
"67-64=3",
"156/3=52"
] | Current State: 52:[71, 64, 67, 85], Operations: []
Exploring Operation: 71+85=156, Resulting Numbers: [64, 67, 156]
Generated Node #2: [64, 67, 156] from Operation: 71+85=156
Current State: 52:[64, 67, 156], Operations: ['71+85=156']
Exploring Operation: 67-64=3, Resulting Numbers: [156, 3]
Generated Node #3: [156, 3] from Operation: 67-64=3
Current State: 52:[156, 3], Operations: ['71+85=156', '67-64=3']
Exploring Operation: 156/3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
88,
84,
49,
28
] | 25 | [
"88-84=4",
"49-28=21",
"4+21=25"
] | Current State: 25:[88, 84, 49, 28], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [49, 28, 4]
Generated Node #2: [49, 28, 4] from Operation: 88-84=4
Current State: 25:[49, 28, 4], Operations: ['88-84=4']
Exploring Operation: 49-28=21, Resulting Numbers: [4, 21]
Generated Node #3: [4, 21] from Operation: 49-28=21
Current State: 25:[4, 21], Operations: ['88-84=4', '49-28=21']
Exploring Operation: 4+21=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
2,
38,
68,
34
] | 94 | [
"68-38=30",
"2*30=60",
"34+60=94"
] | Current State: 94:[2, 38, 68, 34], Operations: []
Exploring Operation: 68-38=30, Resulting Numbers: [2, 34, 30]
Generated Node #2: [2, 34, 30] from Operation: 68-38=30
Current State: 94:[2, 34, 30], Operations: ['68-38=30']
Exploring Operation: 2*30=60, Resulting Numbers: [34, 60]
Generated Node #3: [34, 60] from Operation: 2*30=60
Current State: 94:[34, 60], Operations: ['68-38=30', '2*30=60']
Exploring Operation: 34+60=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
68,
37,
46,
19
] | 78 | [
"68+37=105",
"46-19=27",
"105-27=78"
] | Current State: 78:[68, 37, 46, 19], Operations: []
Exploring Operation: 68+37=105, Resulting Numbers: [46, 19, 105]
Generated Node #2: [46, 19, 105] from Operation: 68+37=105
Current State: 78:[46, 19, 105], Operations: ['68+37=105']
Exploring Operation: 46-19=27, Resulting Numbers: [105, 27]
Generated Node #3: [105, 27] from Operation: 46-19=27
Current State: 78:[105, 27], Operations: ['68+37=105', '46-19=27']
Exploring Operation: 105-27=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
93,
31,
39,
42
] | 62 | [
"42-39=3",
"93/3=31",
"31+31=62"
] | Current State: 62:[93, 31, 39, 42], Operations: []
Exploring Operation: 42-39=3, Resulting Numbers: [93, 31, 3]
Generated Node #2: [93, 31, 3] from Operation: 42-39=3
Current State: 62:[93, 31, 3], Operations: ['42-39=3']
Exploring Operation: 93/3=31, Resulting Numbers: [31, 31]
Generated Node #3: [31, 31] from Operation: 93/3=31
Current State: 62:[31, 31], Operations: ['42-39=3', '93/3=31']
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
60,
30,
60,
20
] | 82 | [
"60/30=2",
"60+20=80",
"2+80=82"
] | Current State: 82:[60, 30, 60, 20], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [20, 2]
Generated Node #2: [20, 2] from Operation: 60/30=2
Current State: 82:[20, 2], Operations: ['60/30=2']
Exploring Operation: 60+20=80, Resulting Numbers: [2, 80]
Generated Node #3: [2, 80] from Operation: 60+20=80
Current State: 82:[2, 80], Operations: ['60/30=2', '60+20=80']
Exploring Operation: 2+80=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
63,
31,
67,
47
] | 64 | [
"67-63=4",
"47-31=16",
"4*16=64"
] | Current State: 64:[63, 31, 67, 47], Operations: []
Exploring Operation: 67-63=4, Resulting Numbers: [31, 47, 4]
Generated Node #2: [31, 47, 4] from Operation: 67-63=4
Current State: 64:[31, 47, 4], Operations: ['67-63=4']
Exploring Operation: 47-31=16, Resulting Numbers: [4, 16]
Generated Node #3: [4, 16] from Operation: 47-31=16
Current State: 64:[4, 16], Operations: ['67-63=4', '47-31=16']
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
22,
73,
50,
14
] | 13 | [
"73-22=51",
"50+14=64",
"64-51=13"
] | Current State: 13:[22, 73, 50, 14], Operations: []
Exploring Operation: 73-22=51, Resulting Numbers: [50, 14, 51]
Generated Node #2: [50, 14, 51] from Operation: 73-22=51
Current State: 13:[50, 14, 51], Operations: ['73-22=51']
Exploring Operation: 50+14=64, Resulting Numbers: [51, 64]
Generated Node #3: [51, 64] from Operation: 50+14=64
Current State: 13:[51, 64], Operations: ['73-22=51', '50+14=64']
Exploring Operation: 64-51=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
67,
59,
75,
91
] | 89 | [
"59+75=134",
"134/67=2",
"91-2=89"
] | Current State: 89:[67, 59, 75, 91], Operations: []
Exploring Operation: 59+75=134, Resulting Numbers: [67, 91, 134]
Generated Node #2: [67, 91, 134] from Operation: 59+75=134
Current State: 89:[67, 91, 134], Operations: ['59+75=134']
Exploring Operation: 134/67=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 134/67=2
Current State: 89:[91, 2], Operations: ['59+75=134', '134/67=2']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
93,
61,
8,
17
] | 21 | [
"93-61=32",
"32/8=4",
"17+4=21"
] | Current State: 21:[93, 61, 8, 17], Operations: []
Exploring Operation: 93-61=32, Resulting Numbers: [8, 17, 32]
Generated Node #2: [8, 17, 32] from Operation: 93-61=32
Current State: 21:[8, 17, 32], Operations: ['93-61=32']
Exploring Operation: 32/8=4, Resulting Numbers: [17, 4]
Generated Node #3: [17, 4] from Operation: 32/8=4
Current State: 21:[17, 4], Operations: ['93-61=32', '32/8=4']
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
77,
78,
63,
38
] | 61 | [
"77-38=39",
"78/39=2",
"63-2=61"
] | Current State: 61:[77, 78, 63, 38], Operations: []
Exploring Operation: 77-38=39, Resulting Numbers: [78, 63, 39]
Generated Node #2: [78, 63, 39] from Operation: 77-38=39
Current State: 61:[78, 63, 39], Operations: ['77-38=39']
Exploring Operation: 78/39=2, Resulting Numbers: [63, 2]
Generated Node #3: [63, 2] from Operation: 78/39=2
Current State: 61:[63, 2], Operations: ['77-38=39', '78/39=2']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
34,
3,
12,
41
] | 39 | [
"34+41=75",
"3*12=36",
"75-36=39"
] | Current State: 39:[34, 3, 12, 41], Operations: []
Exploring Operation: 34+41=75, Resulting Numbers: [3, 12, 75]
Generated Node #2: [3, 12, 75] from Operation: 34+41=75
Current State: 39:[3, 12, 75], Operations: ['34+41=75']
Exploring Operation: 3*12=36, Resulting Numbers: [75, 36]
Generated Node #3: [75, 36] from Operation: 3*12=36
Current State: 39:[75, 36], Operations: ['34+41=75', '3*12=36']
Exploring Operation: 75-36=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
33,
23,
39,
41
] | 97 | [
"39-33=6",
"23*6=138",
"138-41=97"
] | Current State: 97:[33, 23, 39, 41], Operations: []
Exploring Operation: 39-33=6, Resulting Numbers: [23, 41, 6]
Generated Node #2: [23, 41, 6] from Operation: 39-33=6
Current State: 97:[23, 41, 6], Operations: ['39-33=6']
Exploring Operation: 23*6=138, Resulting Numbers: [41, 138]
Generated Node #3: [41, 138] from Operation: 23*6=138
Current State: 97:[41, 138], Operations: ['39-33=6', '23*6=138']
Exploring Operation: 138-41=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
17,
69,
58,
35
] | 60 | [
"69-35=34",
"34/17=2",
"58+2=60"
] | Current State: 60:[17, 69, 58, 35], Operations: []
Exploring Operation: 69-35=34, Resulting Numbers: [17, 58, 34]
Generated Node #2: [17, 58, 34] from Operation: 69-35=34
Current State: 60:[17, 58, 34], Operations: ['69-35=34']
Exploring Operation: 34/17=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 34/17=2
Current State: 60:[58, 2], Operations: ['69-35=34', '34/17=2']
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
60,
95,
32,
31
] | 34 | [
"95-60=35",
"32-31=1",
"35-1=34"
] | Current State: 34:[60, 95, 32, 31], Operations: []
Exploring Operation: 95-60=35, Resulting Numbers: [32, 31, 35]
Generated Node #2: [32, 31, 35] from Operation: 95-60=35
Current State: 34:[32, 31, 35], Operations: ['95-60=35']
Exploring Operation: 32-31=1, Resulting Numbers: [35, 1]
Generated Node #3: [35, 1] from Operation: 32-31=1
Current State: 34:[35, 1], Operations: ['95-60=35', '32-31=1']
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
72,
89,
17,
73
] | 16 | [
"17*73=1241",
"1241-89=1152",
"1152/72=16"
] | Current State: 16:[72, 89, 17, 73], Operations: []
Exploring Operation: 17*73=1241, Resulting Numbers: [72, 89, 1241]
Generated Node #2: [72, 89, 1241] from Operation: 17*73=1241
Current State: 16:[72, 89, 1241], Operations: ['17*73=1241']
Exploring Operation: 1241-89=1152, Resulting Numbers: [72, 1152]
Generated Node #3: [72, 1152] from Operation: 1241-89=1152
Current State: 16:[72, 1152], Operations: ['17*73=1241', '1241-89=1152']
Exploring Operation: 1152/72=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
36,
2,
2,
52
] | 89 | [
"36+52=88",
"2/2=1",
"88+1=89"
] | Current State: 89:[36, 2, 2, 52], Operations: []
Exploring Operation: 36+52=88, Resulting Numbers: [2, 2, 88]
Generated Node #2: [2, 2, 88] from Operation: 36+52=88
Current State: 89:[2, 2, 88], Operations: ['36+52=88']
Exploring Operation: 2/2=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 2/2=1
Current State: 89:[88, 1], Operations: ['36+52=88', '2/2=1']
Exploring Operation: 88+1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
3,
81,
2,
16
] | 75 | [
"2+16=18",
"18/3=6",
"81-6=75"
] | Current State: 75:[3, 81, 2, 16], Operations: []
Exploring Operation: 2+16=18, Resulting Numbers: [3, 81, 18]
Generated Node #2: [3, 81, 18] from Operation: 2+16=18
Current State: 75:[3, 81, 18], Operations: ['2+16=18']
Exploring Operation: 18/3=6, Resulting Numbers: [81, 6]
Generated Node #3: [81, 6] from Operation: 18/3=6
Current State: 75:[81, 6], Operations: ['2+16=18', '18/3=6']
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
59,
53,
82,
89
] | 42 | [
"59-53=6",
"89-82=7",
"6*7=42"
] | Current State: 42:[59, 53, 82, 89], Operations: []
Exploring Operation: 59-53=6, Resulting Numbers: [82, 89, 6]
Generated Node #2: [82, 89, 6] from Operation: 59-53=6
Current State: 42:[82, 89, 6], Operations: ['59-53=6']
Exploring Operation: 89-82=7, Resulting Numbers: [6, 7]
Generated Node #3: [6, 7] from Operation: 89-82=7
Current State: 42:[6, 7], Operations: ['59-53=6', '89-82=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
3,
82,
15,
70
] | 24 | [
"82-3=79",
"70-15=55",
"79-55=24"
] | Current State: 24:[3, 82, 15, 70], Operations: []
Exploring Operation: 82-3=79, Resulting Numbers: [15, 70, 79]
Generated Node #2: [15, 70, 79] from Operation: 82-3=79
Current State: 24:[15, 70, 79], Operations: ['82-3=79']
Exploring Operation: 70-15=55, Resulting Numbers: [79, 55]
Generated Node #3: [79, 55] from Operation: 70-15=55
Current State: 24:[79, 55], Operations: ['82-3=79', '70-15=55']
Exploring Operation: 79-55=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
72,
29,
19,
7
] | 38 | [
"72*19=1368",
"29+7=36",
"1368/36=38"
] | Current State: 38:[72, 29, 19, 7], Operations: []
Exploring Operation: 72*19=1368, Resulting Numbers: [29, 7, 1368]
Generated Node #2: [29, 7, 1368] from Operation: 72*19=1368
Current State: 38:[29, 7, 1368], Operations: ['72*19=1368']
Exploring Operation: 29+7=36, Resulting Numbers: [1368, 36]
Generated Node #3: [1368, 36] from Operation: 29+7=36
Current State: 38:[1368, 36], Operations: ['72*19=1368', '29+7=36']
Exploring Operation: 1368/36=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
37,
21,
24,
8
] | 83 | [
"37-24=13",
"8*13=104",
"104-21=83"
] | Current State: 83:[37, 21, 24, 8], Operations: []
Exploring Operation: 37-24=13, Resulting Numbers: [21, 8, 13]
Generated Node #2: [21, 8, 13] from Operation: 37-24=13
Current State: 83:[21, 8, 13], Operations: ['37-24=13']
Exploring Operation: 8*13=104, Resulting Numbers: [21, 104]
Generated Node #3: [21, 104] from Operation: 8*13=104
Current State: 83:[21, 104], Operations: ['37-24=13', '8*13=104']
Exploring Operation: 104-21=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
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