nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
85,
2,
53,
20
] | 84 | [
"85-53=32",
"2*32=64",
"20+64=84"
] | Current State: 84:[85, 2, 53, 20], Operations: []
Exploring Operation: 85-53=32, Resulting Numbers: [2, 20, 32]
Generated Node #2: [2, 20, 32] from Operation: 85-53=32
Current State: 84:[2, 20, 32], Operations: ['85-53=32']
Exploring Operation: 2*32=64, Resulting Numbers: [20, 64]
Generated Node #3: [20, 64] from Operation: 2*32=64
Current State: 84:[20, 64], Operations: ['85-53=32', '2*32=64']
Exploring Operation: 20+64=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
57,
12,
57,
57
] | 12 | [
"57-57=0",
"57*0=0",
"12+0=12"
] | Current State: 12:[57, 12, 57, 57], Operations: []
Exploring Operation: 57-57=0, Resulting Numbers: [12, 0]
Generated Node #2: [12, 0] from Operation: 57-57=0
Current State: 12:[12, 0], Operations: ['57-57=0']
Exploring Operation: 57*0=0, Resulting Numbers: [12, 0]
Generated Node #3: [12, 0] from Operation: 57*0=0
Current State: 12:[12, 0], Operations: ['57-57=0', '57*0=0']
Exploring Operation: 12+0=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
40,
55,
16,
35
] | 32 | [
"40*16=640",
"55-35=20",
"640/20=32"
] | Current State: 32:[40, 55, 16, 35], Operations: []
Exploring Operation: 40*16=640, Resulting Numbers: [55, 35, 640]
Generated Node #2: [55, 35, 640] from Operation: 40*16=640
Current State: 32:[55, 35, 640], Operations: ['40*16=640']
Exploring Operation: 55-35=20, Resulting Numbers: [640, 20]
Generated Node #3: [640, 20] from Operation: 55-35=20
Current State: 32:[640, 20], Operations: ['40*16=640', '55-35=20']
Exploring Operation: 640/20=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
10,
6,
38,
85
] | 43 | [
"10-6=4",
"85-38=47",
"47-4=43"
] | Current State: 43:[10, 6, 38, 85], Operations: []
Exploring Operation: 10-6=4, Resulting Numbers: [38, 85, 4]
Generated Node #2: [38, 85, 4] from Operation: 10-6=4
Current State: 43:[38, 85, 4], Operations: ['10-6=4']
Exploring Operation: 85-38=47, Resulting Numbers: [4, 47]
Generated Node #3: [4, 47] from Operation: 85-38=47
Current State: 43:[4, 47], Operations: ['10-6=4', '85-38=47']
Exploring Operation: 47-4=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
76,
67,
69,
6
] | 54 | [
"76-67=9",
"69-6=63",
"63-9=54"
] | Current State: 54:[76, 67, 69, 6], Operations: []
Exploring Operation: 76-67=9, Resulting Numbers: [69, 6, 9]
Generated Node #2: [69, 6, 9] from Operation: 76-67=9
Current State: 54:[69, 6, 9], Operations: ['76-67=9']
Exploring Operation: 69-6=63, Resulting Numbers: [9, 63]
Generated Node #3: [9, 63] from Operation: 69-6=63
Current State: 54:[9, 63], Operations: ['76-67=9', '69-6=63']
Exploring Operation: 63-9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
5,
11,
22,
6
] | 49 | [
"22-5=17",
"11*6=66",
"66-17=49"
] | Current State: 49:[5, 11, 22, 6], Operations: []
Exploring Operation: 22-5=17, Resulting Numbers: [11, 6, 17]
Generated Node #2: [11, 6, 17] from Operation: 22-5=17
Current State: 49:[11, 6, 17], Operations: ['22-5=17']
Exploring Operation: 11*6=66, Resulting Numbers: [17, 66]
Generated Node #3: [17, 66] from Operation: 11*6=66
Current State: 49:[17, 66], Operations: ['22-5=17', '11*6=66']
Exploring Operation: 66-17=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
6,
88,
89,
49
] | 44 | [
"6+88=94",
"89+49=138",
"138-94=44"
] | Current State: 44:[6, 88, 89, 49], Operations: []
Exploring Operation: 6+88=94, Resulting Numbers: [89, 49, 94]
Generated Node #2: [89, 49, 94] from Operation: 6+88=94
Current State: 44:[89, 49, 94], Operations: ['6+88=94']
Exploring Operation: 89+49=138, Resulting Numbers: [94, 138]
Generated Node #3: [94, 138] from Operation: 89+49=138
Current State: 44:[94, 138], Operations: ['6+88=94', '89+49=138']
Exploring Operation: 138-94=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
58,
31,
40,
95
] | 82 | [
"58-31=27",
"95-40=55",
"27+55=82"
] | Current State: 82:[58, 31, 40, 95], Operations: []
Exploring Operation: 58-31=27, Resulting Numbers: [40, 95, 27]
Generated Node #2: [40, 95, 27] from Operation: 58-31=27
Current State: 82:[40, 95, 27], Operations: ['58-31=27']
Exploring Operation: 95-40=55, Resulting Numbers: [27, 55]
Generated Node #3: [27, 55] from Operation: 95-40=55
Current State: 82:[27, 55], Operations: ['58-31=27', '95-40=55']
Exploring Operation: 27+55=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
58,
4,
40,
4
] | 98 | [
"58+4=62",
"40*4=160",
"160-62=98"
] | Current State: 98:[58, 4, 40, 4], Operations: []
Exploring Operation: 58+4=62, Resulting Numbers: [40, 62]
Generated Node #2: [40, 62] from Operation: 58+4=62
Current State: 98:[40, 62], Operations: ['58+4=62']
Exploring Operation: 40*4=160, Resulting Numbers: [62, 160]
Generated Node #3: [62, 160] from Operation: 40*4=160
Current State: 98:[62, 160], Operations: ['58+4=62', '40*4=160']
Exploring Operation: 160-62=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
68,
75,
37,
40
] | 70 | [
"75-68=7",
"37+40=77",
"77-7=70"
] | Current State: 70:[68, 75, 37, 40], Operations: []
Exploring Operation: 75-68=7, Resulting Numbers: [37, 40, 7]
Generated Node #2: [37, 40, 7] from Operation: 75-68=7
Current State: 70:[37, 40, 7], Operations: ['75-68=7']
Exploring Operation: 37+40=77, Resulting Numbers: [7, 77]
Generated Node #3: [7, 77] from Operation: 37+40=77
Current State: 70:[7, 77], Operations: ['75-68=7', '37+40=77']
Exploring Operation: 77-7=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
15,
58,
10,
70
] | 37 | [
"58-15=43",
"10+70=80",
"80-43=37"
] | Current State: 37:[15, 58, 10, 70], Operations: []
Exploring Operation: 58-15=43, Resulting Numbers: [10, 70, 43]
Generated Node #2: [10, 70, 43] from Operation: 58-15=43
Current State: 37:[10, 70, 43], Operations: ['58-15=43']
Exploring Operation: 10+70=80, Resulting Numbers: [43, 80]
Generated Node #3: [43, 80] from Operation: 10+70=80
Current State: 37:[43, 80], Operations: ['58-15=43', '10+70=80']
Exploring Operation: 80-43=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
46,
6,
18,
5
] | 38 | [
"46+6=52",
"18*5=90",
"90-52=38"
] | Current State: 38:[46, 6, 18, 5], Operations: []
Exploring Operation: 46+6=52, Resulting Numbers: [18, 5, 52]
Generated Node #2: [18, 5, 52] from Operation: 46+6=52
Current State: 38:[18, 5, 52], Operations: ['46+6=52']
Exploring Operation: 18*5=90, Resulting Numbers: [52, 90]
Generated Node #3: [52, 90] from Operation: 18*5=90
Current State: 38:[52, 90], Operations: ['46+6=52', '18*5=90']
Exploring Operation: 90-52=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
98,
3,
7,
59
] | 29 | [
"98-3=95",
"7+59=66",
"95-66=29"
] | Current State: 29:[98, 3, 7, 59], Operations: []
Exploring Operation: 98-3=95, Resulting Numbers: [7, 59, 95]
Generated Node #2: [7, 59, 95] from Operation: 98-3=95
Current State: 29:[7, 59, 95], Operations: ['98-3=95']
Exploring Operation: 7+59=66, Resulting Numbers: [95, 66]
Generated Node #3: [95, 66] from Operation: 7+59=66
Current State: 29:[95, 66], Operations: ['98-3=95', '7+59=66']
Exploring Operation: 95-66=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
93,
39,
71,
1
] | 60 | [
"93+39=132",
"71+1=72",
"132-72=60"
] | Current State: 60:[93, 39, 71, 1], Operations: []
Exploring Operation: 93+39=132, Resulting Numbers: [71, 1, 132]
Generated Node #2: [71, 1, 132] from Operation: 93+39=132
Current State: 60:[71, 1, 132], Operations: ['93+39=132']
Exploring Operation: 71+1=72, Resulting Numbers: [132, 72]
Generated Node #3: [132, 72] from Operation: 71+1=72
Current State: 60:[132, 72], Operations: ['93+39=132', '71+1=72']
Exploring Operation: 132-72=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
90,
23,
22,
39
] | 52 | [
"90+23=113",
"22+39=61",
"113-61=52"
] | Current State: 52:[90, 23, 22, 39], Operations: []
Exploring Operation: 90+23=113, Resulting Numbers: [22, 39, 113]
Generated Node #2: [22, 39, 113] from Operation: 90+23=113
Current State: 52:[22, 39, 113], Operations: ['90+23=113']
Exploring Operation: 22+39=61, Resulting Numbers: [113, 61]
Generated Node #3: [113, 61] from Operation: 22+39=61
Current State: 52:[113, 61], Operations: ['90+23=113', '22+39=61']
Exploring Operation: 113-61=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
80,
28,
64,
44
] | 20 | [
"44-28=16",
"80*16=1280",
"1280/64=20"
] | Current State: 20:[80, 28, 64, 44], Operations: []
Exploring Operation: 44-28=16, Resulting Numbers: [80, 64, 16]
Generated Node #2: [80, 64, 16] from Operation: 44-28=16
Current State: 20:[80, 64, 16], Operations: ['44-28=16']
Exploring Operation: 80*16=1280, Resulting Numbers: [64, 1280]
Generated Node #3: [64, 1280] from Operation: 80*16=1280
Current State: 20:[64, 1280], Operations: ['44-28=16', '80*16=1280']
Exploring Operation: 1280/64=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
49,
96,
46,
55
] | 69 | [
"49-46=3",
"55*3=165",
"165-96=69"
] | Current State: 69:[49, 96, 46, 55], Operations: []
Exploring Operation: 49-46=3, Resulting Numbers: [96, 55, 3]
Generated Node #2: [96, 55, 3] from Operation: 49-46=3
Current State: 69:[96, 55, 3], Operations: ['49-46=3']
Exploring Operation: 55*3=165, Resulting Numbers: [96, 165]
Generated Node #3: [96, 165] from Operation: 55*3=165
Current State: 69:[96, 165], Operations: ['49-46=3', '55*3=165']
Exploring Operation: 165-96=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
44,
96,
20,
96
] | 65 | [
"44+20=64",
"96/96=1",
"64+1=65"
] | Current State: 65:[44, 96, 20, 96], Operations: []
Exploring Operation: 44+20=64, Resulting Numbers: [96, 96, 64]
Generated Node #2: [96, 96, 64] from Operation: 44+20=64
Current State: 65:[96, 96, 64], Operations: ['44+20=64']
Exploring Operation: 96/96=1, Resulting Numbers: [64, 1]
Generated Node #3: [64, 1] from Operation: 96/96=1
Current State: 65:[64, 1], Operations: ['44+20=64', '96/96=1']
Exploring Operation: 64+1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
69,
11,
38,
84
] | 64 | [
"69-11=58",
"38+84=122",
"122-58=64"
] | Current State: 64:[69, 11, 38, 84], Operations: []
Exploring Operation: 69-11=58, Resulting Numbers: [38, 84, 58]
Generated Node #2: [38, 84, 58] from Operation: 69-11=58
Current State: 64:[38, 84, 58], Operations: ['69-11=58']
Exploring Operation: 38+84=122, Resulting Numbers: [58, 122]
Generated Node #3: [58, 122] from Operation: 38+84=122
Current State: 64:[58, 122], Operations: ['69-11=58', '38+84=122']
Exploring Operation: 122-58=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
4,
27,
75,
12
] | 51 | [
"12/4=3",
"75-27=48",
"3+48=51"
] | Current State: 51:[4, 27, 75, 12], Operations: []
Exploring Operation: 12/4=3, Resulting Numbers: [27, 75, 3]
Generated Node #2: [27, 75, 3] from Operation: 12/4=3
Current State: 51:[27, 75, 3], Operations: ['12/4=3']
Exploring Operation: 75-27=48, Resulting Numbers: [3, 48]
Generated Node #3: [3, 48] from Operation: 75-27=48
Current State: 51:[3, 48], Operations: ['12/4=3', '75-27=48']
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
79,
7,
9,
80
] | 74 | [
"7+9=16",
"80/16=5",
"79-5=74"
] | Current State: 74:[79, 7, 9, 80], Operations: []
Exploring Operation: 7+9=16, Resulting Numbers: [79, 80, 16]
Generated Node #2: [79, 80, 16] from Operation: 7+9=16
Current State: 74:[79, 80, 16], Operations: ['7+9=16']
Exploring Operation: 80/16=5, Resulting Numbers: [79, 5]
Generated Node #3: [79, 5] from Operation: 80/16=5
Current State: 74:[79, 5], Operations: ['7+9=16', '80/16=5']
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
10,
54,
71,
79
] | 91 | [
"71-54=17",
"10*17=170",
"170-79=91"
] | Current State: 91:[10, 54, 71, 79], Operations: []
Exploring Operation: 71-54=17, Resulting Numbers: [10, 79, 17]
Generated Node #2: [10, 79, 17] from Operation: 71-54=17
Current State: 91:[10, 79, 17], Operations: ['71-54=17']
Exploring Operation: 10*17=170, Resulting Numbers: [79, 170]
Generated Node #3: [79, 170] from Operation: 10*17=170
Current State: 91:[79, 170], Operations: ['71-54=17', '10*17=170']
Exploring Operation: 170-79=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
17,
52,
48,
56
] | 61 | [
"17+52=69",
"56-48=8",
"69-8=61"
] | Current State: 61:[17, 52, 48, 56], Operations: []
Exploring Operation: 17+52=69, Resulting Numbers: [48, 56, 69]
Generated Node #2: [48, 56, 69] from Operation: 17+52=69
Current State: 61:[48, 56, 69], Operations: ['17+52=69']
Exploring Operation: 56-48=8, Resulting Numbers: [69, 8]
Generated Node #3: [69, 8] from Operation: 56-48=8
Current State: 61:[69, 8], Operations: ['17+52=69', '56-48=8']
Exploring Operation: 69-8=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
13,
73,
61,
58
] | 20 | [
"73-13=60",
"61-58=3",
"60/3=20"
] | Current State: 20:[13, 73, 61, 58], Operations: []
Exploring Operation: 73-13=60, Resulting Numbers: [61, 58, 60]
Generated Node #2: [61, 58, 60] from Operation: 73-13=60
Current State: 20:[61, 58, 60], Operations: ['73-13=60']
Exploring Operation: 61-58=3, Resulting Numbers: [60, 3]
Generated Node #3: [60, 3] from Operation: 61-58=3
Current State: 20:[60, 3], Operations: ['73-13=60', '61-58=3']
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
11,
67,
1,
54
] | 25 | [
"11+67=78",
"54-1=53",
"78-53=25"
] | Current State: 25:[11, 67, 1, 54], Operations: []
Exploring Operation: 11+67=78, Resulting Numbers: [1, 54, 78]
Generated Node #2: [1, 54, 78] from Operation: 11+67=78
Current State: 25:[1, 54, 78], Operations: ['11+67=78']
Exploring Operation: 54-1=53, Resulting Numbers: [78, 53]
Generated Node #3: [78, 53] from Operation: 54-1=53
Current State: 25:[78, 53], Operations: ['11+67=78', '54-1=53']
Exploring Operation: 78-53=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
33,
7,
9,
44
] | 75 | [
"33+7=40",
"44-9=35",
"40+35=75"
] | Current State: 75:[33, 7, 9, 44], Operations: []
Exploring Operation: 33+7=40, Resulting Numbers: [9, 44, 40]
Generated Node #2: [9, 44, 40] from Operation: 33+7=40
Current State: 75:[9, 44, 40], Operations: ['33+7=40']
Exploring Operation: 44-9=35, Resulting Numbers: [40, 35]
Generated Node #3: [40, 35] from Operation: 44-9=35
Current State: 75:[40, 35], Operations: ['33+7=40', '44-9=35']
Exploring Operation: 40+35=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
15,
2,
56,
21
] | 90 | [
"15-2=13",
"56+21=77",
"13+77=90"
] | Current State: 90:[15, 2, 56, 21], Operations: []
Exploring Operation: 15-2=13, Resulting Numbers: [56, 21, 13]
Generated Node #2: [56, 21, 13] from Operation: 15-2=13
Current State: 90:[56, 21, 13], Operations: ['15-2=13']
Exploring Operation: 56+21=77, Resulting Numbers: [13, 77]
Generated Node #3: [13, 77] from Operation: 56+21=77
Current State: 90:[13, 77], Operations: ['15-2=13', '56+21=77']
Exploring Operation: 13+77=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
77,
98,
52,
92
] | 79 | [
"98-52=46",
"92/46=2",
"77+2=79"
] | Current State: 79:[77, 98, 52, 92], Operations: []
Exploring Operation: 98-52=46, Resulting Numbers: [77, 92, 46]
Generated Node #2: [77, 92, 46] from Operation: 98-52=46
Current State: 79:[77, 92, 46], Operations: ['98-52=46']
Exploring Operation: 92/46=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 92/46=2
Current State: 79:[77, 2], Operations: ['98-52=46', '92/46=2']
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
68,
72,
40,
45
] | 89 | [
"72-68=4",
"40+45=85",
"4+85=89"
] | Current State: 89:[68, 72, 40, 45], Operations: []
Exploring Operation: 72-68=4, Resulting Numbers: [40, 45, 4]
Generated Node #2: [40, 45, 4] from Operation: 72-68=4
Current State: 89:[40, 45, 4], Operations: ['72-68=4']
Exploring Operation: 40+45=85, Resulting Numbers: [4, 85]
Generated Node #3: [4, 85] from Operation: 40+45=85
Current State: 89:[4, 85], Operations: ['72-68=4', '40+45=85']
Exploring Operation: 4+85=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
85,
12,
44,
25
] | 49 | [
"85-25=60",
"60/12=5",
"44+5=49"
] | Current State: 49:[85, 12, 44, 25], Operations: []
Exploring Operation: 85-25=60, Resulting Numbers: [12, 44, 60]
Generated Node #2: [12, 44, 60] from Operation: 85-25=60
Current State: 49:[12, 44, 60], Operations: ['85-25=60']
Exploring Operation: 60/12=5, Resulting Numbers: [44, 5]
Generated Node #3: [44, 5] from Operation: 60/12=5
Current State: 49:[44, 5], Operations: ['85-25=60', '60/12=5']
Exploring Operation: 44+5=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
70,
20,
6,
44
] | 29 | [
"70+20=90",
"90/6=15",
"44-15=29"
] | Current State: 29:[70, 20, 6, 44], Operations: []
Exploring Operation: 70+20=90, Resulting Numbers: [6, 44, 90]
Generated Node #2: [6, 44, 90] from Operation: 70+20=90
Current State: 29:[6, 44, 90], Operations: ['70+20=90']
Exploring Operation: 90/6=15, Resulting Numbers: [44, 15]
Generated Node #3: [44, 15] from Operation: 90/6=15
Current State: 29:[44, 15], Operations: ['70+20=90', '90/6=15']
Exploring Operation: 44-15=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
21,
81,
5,
79
] | 85 | [
"5+79=84",
"84/21=4",
"81+4=85"
] | Current State: 85:[21, 81, 5, 79], Operations: []
Exploring Operation: 5+79=84, Resulting Numbers: [21, 81, 84]
Generated Node #2: [21, 81, 84] from Operation: 5+79=84
Current State: 85:[21, 81, 84], Operations: ['5+79=84']
Exploring Operation: 84/21=4, Resulting Numbers: [81, 4]
Generated Node #3: [81, 4] from Operation: 84/21=4
Current State: 85:[81, 4], Operations: ['5+79=84', '84/21=4']
Exploring Operation: 81+4=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
1,
40,
2,
18
] | 42 | [
"40-1=39",
"39-18=21",
"2*21=42"
] | Current State: 42:[1, 40, 2, 18], Operations: []
Exploring Operation: 40-1=39, Resulting Numbers: [2, 18, 39]
Generated Node #2: [2, 18, 39] from Operation: 40-1=39
Current State: 42:[2, 18, 39], Operations: ['40-1=39']
Exploring Operation: 39-18=21, Resulting Numbers: [2, 21]
Generated Node #3: [2, 21] from Operation: 39-18=21
Current State: 42:[2, 21], Operations: ['40-1=39', '39-18=21']
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
13,
21,
11,
67
] | 23 | [
"13-11=2",
"67-21=46",
"46/2=23"
] | Current State: 23:[13, 21, 11, 67], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [21, 67, 2]
Generated Node #2: [21, 67, 2] from Operation: 13-11=2
Current State: 23:[21, 67, 2], Operations: ['13-11=2']
Exploring Operation: 67-21=46, Resulting Numbers: [2, 46]
Generated Node #3: [2, 46] from Operation: 67-21=46
Current State: 23:[2, 46], Operations: ['13-11=2', '67-21=46']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
20,
70,
46,
95
] | 28 | [
"20+95=115",
"70*46=3220",
"3220/115=28"
] | Current State: 28:[20, 70, 46, 95], Operations: []
Exploring Operation: 20+95=115, Resulting Numbers: [70, 46, 115]
Generated Node #2: [70, 46, 115] from Operation: 20+95=115
Current State: 28:[70, 46, 115], Operations: ['20+95=115']
Exploring Operation: 70*46=3220, Resulting Numbers: [115, 3220]
Generated Node #3: [115, 3220] from Operation: 70*46=3220
Current State: 28:[115, 3220], Operations: ['20+95=115', '70*46=3220']
Exploring Operation: 3220/115=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
14,
85,
87,
82
] | 94 | [
"14+85=99",
"87-82=5",
"99-5=94"
] | Current State: 94:[14, 85, 87, 82], Operations: []
Exploring Operation: 14+85=99, Resulting Numbers: [87, 82, 99]
Generated Node #2: [87, 82, 99] from Operation: 14+85=99
Current State: 94:[87, 82, 99], Operations: ['14+85=99']
Exploring Operation: 87-82=5, Resulting Numbers: [99, 5]
Generated Node #3: [99, 5] from Operation: 87-82=5
Current State: 94:[99, 5], Operations: ['14+85=99', '87-82=5']
Exploring Operation: 99-5=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
20,
39,
86,
63
] | 41 | [
"63-20=43",
"86/43=2",
"39+2=41"
] | Current State: 41:[20, 39, 86, 63], Operations: []
Exploring Operation: 63-20=43, Resulting Numbers: [39, 86, 43]
Generated Node #2: [39, 86, 43] from Operation: 63-20=43
Current State: 41:[39, 86, 43], Operations: ['63-20=43']
Exploring Operation: 86/43=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 86/43=2
Current State: 41:[39, 2], Operations: ['63-20=43', '86/43=2']
Exploring Operation: 39+2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
70,
58,
3,
29
] | 75 | [
"70-58=12",
"3*29=87",
"87-12=75"
] | Current State: 75:[70, 58, 3, 29], Operations: []
Exploring Operation: 70-58=12, Resulting Numbers: [3, 29, 12]
Generated Node #2: [3, 29, 12] from Operation: 70-58=12
Current State: 75:[3, 29, 12], Operations: ['70-58=12']
Exploring Operation: 3*29=87, Resulting Numbers: [12, 87]
Generated Node #3: [12, 87] from Operation: 3*29=87
Current State: 75:[12, 87], Operations: ['70-58=12', '3*29=87']
Exploring Operation: 87-12=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
67,
86,
16,
73
] | 10 | [
"73-67=6",
"16*6=96",
"96-86=10"
] | Current State: 10:[67, 86, 16, 73], Operations: []
Exploring Operation: 73-67=6, Resulting Numbers: [86, 16, 6]
Generated Node #2: [86, 16, 6] from Operation: 73-67=6
Current State: 10:[86, 16, 6], Operations: ['73-67=6']
Exploring Operation: 16*6=96, Resulting Numbers: [86, 96]
Generated Node #3: [86, 96] from Operation: 16*6=96
Current State: 10:[86, 96], Operations: ['73-67=6', '16*6=96']
Exploring Operation: 96-86=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
45,
14,
29,
98
] | 10 | [
"45+14=59",
"98-29=69",
"69-59=10"
] | Current State: 10:[45, 14, 29, 98], Operations: []
Exploring Operation: 45+14=59, Resulting Numbers: [29, 98, 59]
Generated Node #2: [29, 98, 59] from Operation: 45+14=59
Current State: 10:[29, 98, 59], Operations: ['45+14=59']
Exploring Operation: 98-29=69, Resulting Numbers: [59, 69]
Generated Node #3: [59, 69] from Operation: 98-29=69
Current State: 10:[59, 69], Operations: ['45+14=59', '98-29=69']
Exploring Operation: 69-59=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
54,
53,
3,
45
] | 56 | [
"54-45=9",
"9/3=3",
"53+3=56"
] | Current State: 56:[54, 53, 3, 45], Operations: []
Exploring Operation: 54-45=9, Resulting Numbers: [53, 3, 9]
Generated Node #2: [53, 3, 9] from Operation: 54-45=9
Current State: 56:[53, 3, 9], Operations: ['54-45=9']
Exploring Operation: 9/3=3, Resulting Numbers: [53, 3]
Generated Node #3: [53, 3] from Operation: 9/3=3
Current State: 56:[53, 3], Operations: ['54-45=9', '9/3=3']
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
47,
66,
41,
5
] | 27 | [
"66-47=19",
"41+5=46",
"46-19=27"
] | Current State: 27:[47, 66, 41, 5], Operations: []
Exploring Operation: 66-47=19, Resulting Numbers: [41, 5, 19]
Generated Node #2: [41, 5, 19] from Operation: 66-47=19
Current State: 27:[41, 5, 19], Operations: ['66-47=19']
Exploring Operation: 41+5=46, Resulting Numbers: [19, 46]
Generated Node #3: [19, 46] from Operation: 41+5=46
Current State: 27:[19, 46], Operations: ['66-47=19', '41+5=46']
Exploring Operation: 46-19=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
93,
43,
47,
7
] | 25 | [
"93+7=100",
"47-43=4",
"100/4=25"
] | Current State: 25:[93, 43, 47, 7], Operations: []
Exploring Operation: 93+7=100, Resulting Numbers: [43, 47, 100]
Generated Node #2: [43, 47, 100] from Operation: 93+7=100
Current State: 25:[43, 47, 100], Operations: ['93+7=100']
Exploring Operation: 47-43=4, Resulting Numbers: [100, 4]
Generated Node #3: [100, 4] from Operation: 47-43=4
Current State: 25:[100, 4], Operations: ['93+7=100', '47-43=4']
Exploring Operation: 100/4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
67,
7,
99,
92
] | 68 | [
"99-7=92",
"92/92=1",
"67+1=68"
] | Current State: 68:[67, 7, 99, 92], Operations: []
Exploring Operation: 99-7=92, Resulting Numbers: [67, 92, 92]
Generated Node #2: [67, 92, 92] from Operation: 99-7=92
Current State: 68:[67, 92, 92], Operations: ['99-7=92']
Exploring Operation: 92/92=1, Resulting Numbers: [67, 1]
Generated Node #3: [67, 1] from Operation: 92/92=1
Current State: 68:[67, 1], Operations: ['99-7=92', '92/92=1']
Exploring Operation: 67+1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
3,
37,
61,
69
] | 31 | [
"61-37=24",
"69+24=93",
"93/3=31"
] | Current State: 31:[3, 37, 61, 69], Operations: []
Exploring Operation: 61-37=24, Resulting Numbers: [3, 69, 24]
Generated Node #2: [3, 69, 24] from Operation: 61-37=24
Current State: 31:[3, 69, 24], Operations: ['61-37=24']
Exploring Operation: 69+24=93, Resulting Numbers: [3, 93]
Generated Node #3: [3, 93] from Operation: 69+24=93
Current State: 31:[3, 93], Operations: ['61-37=24', '69+24=93']
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
35,
51,
3,
48
] | 70 | [
"35+51=86",
"48/3=16",
"86-16=70"
] | Current State: 70:[35, 51, 3, 48], Operations: []
Exploring Operation: 35+51=86, Resulting Numbers: [3, 48, 86]
Generated Node #2: [3, 48, 86] from Operation: 35+51=86
Current State: 70:[3, 48, 86], Operations: ['35+51=86']
Exploring Operation: 48/3=16, Resulting Numbers: [86, 16]
Generated Node #3: [86, 16] from Operation: 48/3=16
Current State: 70:[86, 16], Operations: ['35+51=86', '48/3=16']
Exploring Operation: 86-16=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
67,
15,
26,
58
] | 56 | [
"67-15=52",
"52/26=2",
"58-2=56"
] | Current State: 56:[67, 15, 26, 58], Operations: []
Exploring Operation: 67-15=52, Resulting Numbers: [26, 58, 52]
Generated Node #2: [26, 58, 52] from Operation: 67-15=52
Current State: 56:[26, 58, 52], Operations: ['67-15=52']
Exploring Operation: 52/26=2, Resulting Numbers: [58, 2]
Generated Node #3: [58, 2] from Operation: 52/26=2
Current State: 56:[58, 2], Operations: ['67-15=52', '52/26=2']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
43,
26,
36,
79
] | 15 | [
"43-36=7",
"26+79=105",
"105/7=15"
] | Current State: 15:[43, 26, 36, 79], Operations: []
Exploring Operation: 43-36=7, Resulting Numbers: [26, 79, 7]
Generated Node #2: [26, 79, 7] from Operation: 43-36=7
Current State: 15:[26, 79, 7], Operations: ['43-36=7']
Exploring Operation: 26+79=105, Resulting Numbers: [7, 105]
Generated Node #3: [7, 105] from Operation: 26+79=105
Current State: 15:[7, 105], Operations: ['43-36=7', '26+79=105']
Exploring Operation: 105/7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
48,
78,
83,
51
] | 52 | [
"83-51=32",
"78*32=2496",
"2496/48=52"
] | Current State: 52:[48, 78, 83, 51], Operations: []
Exploring Operation: 83-51=32, Resulting Numbers: [48, 78, 32]
Generated Node #2: [48, 78, 32] from Operation: 83-51=32
Current State: 52:[48, 78, 32], Operations: ['83-51=32']
Exploring Operation: 78*32=2496, Resulting Numbers: [48, 2496]
Generated Node #3: [48, 2496] from Operation: 78*32=2496
Current State: 52:[48, 2496], Operations: ['83-51=32', '78*32=2496']
Exploring Operation: 2496/48=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
25,
25,
65,
8
] | 74 | [
"25/25=1",
"65+8=73",
"1+73=74"
] | Current State: 74:[25, 25, 65, 8], Operations: []
Exploring Operation: 25/25=1, Resulting Numbers: [65, 8, 1]
Generated Node #2: [65, 8, 1] from Operation: 25/25=1
Current State: 74:[65, 8, 1], Operations: ['25/25=1']
Exploring Operation: 65+8=73, Resulting Numbers: [1, 73]
Generated Node #3: [1, 73] from Operation: 65+8=73
Current State: 74:[1, 73], Operations: ['25/25=1', '65+8=73']
Exploring Operation: 1+73=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
93,
98,
88,
10
] | 20 | [
"98+88=186",
"186/93=2",
"10*2=20"
] | Current State: 20:[93, 98, 88, 10], Operations: []
Exploring Operation: 98+88=186, Resulting Numbers: [93, 10, 186]
Generated Node #2: [93, 10, 186] from Operation: 98+88=186
Current State: 20:[93, 10, 186], Operations: ['98+88=186']
Exploring Operation: 186/93=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 186/93=2
Current State: 20:[10, 2], Operations: ['98+88=186', '186/93=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
11,
93,
6,
95
] | 64 | [
"11*6=66",
"95-93=2",
"66-2=64"
] | Current State: 64:[11, 93, 6, 95], Operations: []
Exploring Operation: 11*6=66, Resulting Numbers: [93, 95, 66]
Generated Node #2: [93, 95, 66] from Operation: 11*6=66
Current State: 64:[93, 95, 66], Operations: ['11*6=66']
Exploring Operation: 95-93=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 95-93=2
Current State: 64:[66, 2], Operations: ['11*6=66', '95-93=2']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
14,
37,
26,
70
] | 84 | [
"37-26=11",
"14*11=154",
"154-70=84"
] | Current State: 84:[14, 37, 26, 70], Operations: []
Exploring Operation: 37-26=11, Resulting Numbers: [14, 70, 11]
Generated Node #2: [14, 70, 11] from Operation: 37-26=11
Current State: 84:[14, 70, 11], Operations: ['37-26=11']
Exploring Operation: 14*11=154, Resulting Numbers: [70, 154]
Generated Node #3: [70, 154] from Operation: 14*11=154
Current State: 84:[70, 154], Operations: ['37-26=11', '14*11=154']
Exploring Operation: 154-70=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
43,
92,
73,
52
] | 76 | [
"92-43=49",
"73+52=125",
"125-49=76"
] | Current State: 76:[43, 92, 73, 52], Operations: []
Exploring Operation: 92-43=49, Resulting Numbers: [73, 52, 49]
Generated Node #2: [73, 52, 49] from Operation: 92-43=49
Current State: 76:[73, 52, 49], Operations: ['92-43=49']
Exploring Operation: 73+52=125, Resulting Numbers: [49, 125]
Generated Node #3: [49, 125] from Operation: 73+52=125
Current State: 76:[49, 125], Operations: ['92-43=49', '73+52=125']
Exploring Operation: 125-49=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
51,
83,
21,
81
] | 36 | [
"51+21=72",
"83-81=2",
"72/2=36"
] | Current State: 36:[51, 83, 21, 81], Operations: []
Exploring Operation: 51+21=72, Resulting Numbers: [83, 81, 72]
Generated Node #2: [83, 81, 72] from Operation: 51+21=72
Current State: 36:[83, 81, 72], Operations: ['51+21=72']
Exploring Operation: 83-81=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 83-81=2
Current State: 36:[72, 2], Operations: ['51+21=72', '83-81=2']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
28,
4,
24,
16
] | 52 | [
"28+16=44",
"4*24=96",
"96-44=52"
] | Current State: 52:[28, 4, 24, 16], Operations: []
Exploring Operation: 28+16=44, Resulting Numbers: [4, 24, 44]
Generated Node #2: [4, 24, 44] from Operation: 28+16=44
Current State: 52:[4, 24, 44], Operations: ['28+16=44']
Exploring Operation: 4*24=96, Resulting Numbers: [44, 96]
Generated Node #3: [44, 96] from Operation: 4*24=96
Current State: 52:[44, 96], Operations: ['28+16=44', '4*24=96']
Exploring Operation: 96-44=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
74,
38,
25,
12
] | 36 | [
"25+12=37",
"74/37=2",
"38-2=36"
] | Current State: 36:[74, 38, 25, 12], Operations: []
Exploring Operation: 25+12=37, Resulting Numbers: [74, 38, 37]
Generated Node #2: [74, 38, 37] from Operation: 25+12=37
Current State: 36:[74, 38, 37], Operations: ['25+12=37']
Exploring Operation: 74/37=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 74/37=2
Current State: 36:[38, 2], Operations: ['25+12=37', '74/37=2']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
62,
89,
63,
60
] | 30 | [
"89-62=27",
"63-60=3",
"27+3=30"
] | Current State: 30:[62, 89, 63, 60], Operations: []
Exploring Operation: 89-62=27, Resulting Numbers: [63, 60, 27]
Generated Node #2: [63, 60, 27] from Operation: 89-62=27
Current State: 30:[63, 60, 27], Operations: ['89-62=27']
Exploring Operation: 63-60=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 63-60=3
Current State: 30:[27, 3], Operations: ['89-62=27', '63-60=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
64,
92,
34,
49
] | 55 | [
"92-64=28",
"34+49=83",
"83-28=55"
] | Current State: 55:[64, 92, 34, 49], Operations: []
Exploring Operation: 92-64=28, Resulting Numbers: [34, 49, 28]
Generated Node #2: [34, 49, 28] from Operation: 92-64=28
Current State: 55:[34, 49, 28], Operations: ['92-64=28']
Exploring Operation: 34+49=83, Resulting Numbers: [28, 83]
Generated Node #3: [28, 83] from Operation: 34+49=83
Current State: 55:[28, 83], Operations: ['92-64=28', '34+49=83']
Exploring Operation: 83-28=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
36,
6,
4,
25
] | 38 | [
"36-25=11",
"4*11=44",
"44-6=38"
] | Current State: 38:[36, 6, 4, 25], Operations: []
Exploring Operation: 36-25=11, Resulting Numbers: [6, 4, 11]
Generated Node #2: [6, 4, 11] from Operation: 36-25=11
Current State: 38:[6, 4, 11], Operations: ['36-25=11']
Exploring Operation: 4*11=44, Resulting Numbers: [6, 44]
Generated Node #3: [6, 44] from Operation: 4*11=44
Current State: 38:[6, 44], Operations: ['36-25=11', '4*11=44']
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
89,
71,
91,
32
] | 55 | [
"91-89=2",
"32/2=16",
"71-16=55"
] | Current State: 55:[89, 71, 91, 32], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [71, 32, 2]
Generated Node #2: [71, 32, 2] from Operation: 91-89=2
Current State: 55:[71, 32, 2], Operations: ['91-89=2']
Exploring Operation: 32/2=16, Resulting Numbers: [71, 16]
Generated Node #3: [71, 16] from Operation: 32/2=16
Current State: 55:[71, 16], Operations: ['91-89=2', '32/2=16']
Exploring Operation: 71-16=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
57,
49,
22,
1
] | 14 | [
"57-49=8",
"22*1=22",
"22-8=14"
] | Current State: 14:[57, 49, 22, 1], Operations: []
Exploring Operation: 57-49=8, Resulting Numbers: [22, 1, 8]
Generated Node #2: [22, 1, 8] from Operation: 57-49=8
Current State: 14:[22, 1, 8], Operations: ['57-49=8']
Exploring Operation: 22*1=22, Resulting Numbers: [8, 22]
Generated Node #3: [8, 22] from Operation: 22*1=22
Current State: 14:[8, 22], Operations: ['57-49=8', '22*1=22']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
2,
27,
95,
11
] | 90 | [
"2*11=22",
"95-27=68",
"22+68=90"
] | Current State: 90:[2, 27, 95, 11], Operations: []
Exploring Operation: 2*11=22, Resulting Numbers: [27, 95, 22]
Generated Node #2: [27, 95, 22] from Operation: 2*11=22
Current State: 90:[27, 95, 22], Operations: ['2*11=22']
Exploring Operation: 95-27=68, Resulting Numbers: [22, 68]
Generated Node #3: [22, 68] from Operation: 95-27=68
Current State: 90:[22, 68], Operations: ['2*11=22', '95-27=68']
Exploring Operation: 22+68=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
10,
5,
7,
10
] | 98 | [
"10*10=100",
"7-5=2",
"100-2=98"
] | Current State: 98:[10, 5, 7, 10], Operations: []
Exploring Operation: 10*10=100, Resulting Numbers: [5, 7, 100]
Generated Node #2: [5, 7, 100] from Operation: 10*10=100
Current State: 98:[5, 7, 100], Operations: ['10*10=100']
Exploring Operation: 7-5=2, Resulting Numbers: [100, 2]
Generated Node #3: [100, 2] from Operation: 7-5=2
Current State: 98:[100, 2], Operations: ['10*10=100', '7-5=2']
Exploring Operation: 100-2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
14,
55,
37,
99
] | 21 | [
"55-14=41",
"99-37=62",
"62-41=21"
] | Current State: 21:[14, 55, 37, 99], Operations: []
Exploring Operation: 55-14=41, Resulting Numbers: [37, 99, 41]
Generated Node #2: [37, 99, 41] from Operation: 55-14=41
Current State: 21:[37, 99, 41], Operations: ['55-14=41']
Exploring Operation: 99-37=62, Resulting Numbers: [41, 62]
Generated Node #3: [41, 62] from Operation: 99-37=62
Current State: 21:[41, 62], Operations: ['55-14=41', '99-37=62']
Exploring Operation: 62-41=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
67,
12,
88,
92
] | 52 | [
"88+92=180",
"180/12=15",
"67-15=52"
] | Current State: 52:[67, 12, 88, 92], Operations: []
Exploring Operation: 88+92=180, Resulting Numbers: [67, 12, 180]
Generated Node #2: [67, 12, 180] from Operation: 88+92=180
Current State: 52:[67, 12, 180], Operations: ['88+92=180']
Exploring Operation: 180/12=15, Resulting Numbers: [67, 15]
Generated Node #3: [67, 15] from Operation: 180/12=15
Current State: 52:[67, 15], Operations: ['88+92=180', '180/12=15']
Exploring Operation: 67-15=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
2,
69,
23,
17
] | 80 | [
"2*17=34",
"69-23=46",
"34+46=80"
] | Current State: 80:[2, 69, 23, 17], Operations: []
Exploring Operation: 2*17=34, Resulting Numbers: [69, 23, 34]
Generated Node #2: [69, 23, 34] from Operation: 2*17=34
Current State: 80:[69, 23, 34], Operations: ['2*17=34']
Exploring Operation: 69-23=46, Resulting Numbers: [34, 46]
Generated Node #3: [34, 46] from Operation: 69-23=46
Current State: 80:[34, 46], Operations: ['2*17=34', '69-23=46']
Exploring Operation: 34+46=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
23,
53,
31,
1
] | 60 | [
"53-23=30",
"31-1=30",
"30+30=60"
] | Current State: 60:[23, 53, 31, 1], Operations: []
Exploring Operation: 53-23=30, Resulting Numbers: [31, 1, 30]
Generated Node #2: [31, 1, 30] from Operation: 53-23=30
Current State: 60:[31, 1, 30], Operations: ['53-23=30']
Exploring Operation: 31-1=30, Resulting Numbers: [30, 30]
Generated Node #3: [30, 30] from Operation: 31-1=30
Current State: 60:[30, 30], Operations: ['53-23=30', '31-1=30']
Exploring Operation: 30+30=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
75,
60,
45,
27
] | 22 | [
"60-45=15",
"75/15=5",
"27-5=22"
] | Current State: 22:[75, 60, 45, 27], Operations: []
Exploring Operation: 60-45=15, Resulting Numbers: [75, 27, 15]
Generated Node #2: [75, 27, 15] from Operation: 60-45=15
Current State: 22:[75, 27, 15], Operations: ['60-45=15']
Exploring Operation: 75/15=5, Resulting Numbers: [27, 5]
Generated Node #3: [27, 5] from Operation: 75/15=5
Current State: 22:[27, 5], Operations: ['60-45=15', '75/15=5']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
95,
38,
43,
55
] | 74 | [
"43-38=5",
"95/5=19",
"55+19=74"
] | Current State: 74:[95, 38, 43, 55], Operations: []
Exploring Operation: 43-38=5, Resulting Numbers: [95, 55, 5]
Generated Node #2: [95, 55, 5] from Operation: 43-38=5
Current State: 74:[95, 55, 5], Operations: ['43-38=5']
Exploring Operation: 95/5=19, Resulting Numbers: [55, 19]
Generated Node #3: [55, 19] from Operation: 95/5=19
Current State: 74:[55, 19], Operations: ['43-38=5', '95/5=19']
Exploring Operation: 55+19=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
61,
45,
74,
36
] | 33 | [
"61+74=135",
"135/45=3",
"36-3=33"
] | Current State: 33:[61, 45, 74, 36], Operations: []
Exploring Operation: 61+74=135, Resulting Numbers: [45, 36, 135]
Generated Node #2: [45, 36, 135] from Operation: 61+74=135
Current State: 33:[45, 36, 135], Operations: ['61+74=135']
Exploring Operation: 135/45=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 135/45=3
Current State: 33:[36, 3], Operations: ['61+74=135', '135/45=3']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
25,
33,
40,
56
] | 42 | [
"25+33=58",
"56-40=16",
"58-16=42"
] | Current State: 42:[25, 33, 40, 56], Operations: []
Exploring Operation: 25+33=58, Resulting Numbers: [40, 56, 58]
Generated Node #2: [40, 56, 58] from Operation: 25+33=58
Current State: 42:[40, 56, 58], Operations: ['25+33=58']
Exploring Operation: 56-40=16, Resulting Numbers: [58, 16]
Generated Node #3: [58, 16] from Operation: 56-40=16
Current State: 42:[58, 16], Operations: ['25+33=58', '56-40=16']
Exploring Operation: 58-16=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
45,
80,
72,
17
] | 36 | [
"45+80=125",
"72+17=89",
"125-89=36"
] | Current State: 36:[45, 80, 72, 17], Operations: []
Exploring Operation: 45+80=125, Resulting Numbers: [72, 17, 125]
Generated Node #2: [72, 17, 125] from Operation: 45+80=125
Current State: 36:[72, 17, 125], Operations: ['45+80=125']
Exploring Operation: 72+17=89, Resulting Numbers: [125, 89]
Generated Node #3: [125, 89] from Operation: 72+17=89
Current State: 36:[125, 89], Operations: ['45+80=125', '72+17=89']
Exploring Operation: 125-89=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
43,
56,
69,
4
] | 98 | [
"43+69=112",
"56/4=14",
"112-14=98"
] | Current State: 98:[43, 56, 69, 4], Operations: []
Exploring Operation: 43+69=112, Resulting Numbers: [56, 4, 112]
Generated Node #2: [56, 4, 112] from Operation: 43+69=112
Current State: 98:[56, 4, 112], Operations: ['43+69=112']
Exploring Operation: 56/4=14, Resulting Numbers: [112, 14]
Generated Node #3: [112, 14] from Operation: 56/4=14
Current State: 98:[112, 14], Operations: ['43+69=112', '56/4=14']
Exploring Operation: 112-14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
68,
6,
3,
45
] | 87 | [
"68+6=74",
"74-45=29",
"3*29=87"
] | Current State: 87:[68, 6, 3, 45], Operations: []
Exploring Operation: 68+6=74, Resulting Numbers: [3, 45, 74]
Generated Node #2: [3, 45, 74] from Operation: 68+6=74
Current State: 87:[3, 45, 74], Operations: ['68+6=74']
Exploring Operation: 74-45=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 74-45=29
Current State: 87:[3, 29], Operations: ['68+6=74', '74-45=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
39,
75,
93,
23
] | 80 | [
"75-39=36",
"93+23=116",
"116-36=80"
] | Current State: 80:[39, 75, 93, 23], Operations: []
Exploring Operation: 75-39=36, Resulting Numbers: [93, 23, 36]
Generated Node #2: [93, 23, 36] from Operation: 75-39=36
Current State: 80:[93, 23, 36], Operations: ['75-39=36']
Exploring Operation: 93+23=116, Resulting Numbers: [36, 116]
Generated Node #3: [36, 116] from Operation: 93+23=116
Current State: 80:[36, 116], Operations: ['75-39=36', '93+23=116']
Exploring Operation: 116-36=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
50,
54,
58,
27
] | 89 | [
"54-50=4",
"58+27=85",
"4+85=89"
] | Current State: 89:[50, 54, 58, 27], Operations: []
Exploring Operation: 54-50=4, Resulting Numbers: [58, 27, 4]
Generated Node #2: [58, 27, 4] from Operation: 54-50=4
Current State: 89:[58, 27, 4], Operations: ['54-50=4']
Exploring Operation: 58+27=85, Resulting Numbers: [4, 85]
Generated Node #3: [4, 85] from Operation: 58+27=85
Current State: 89:[4, 85], Operations: ['54-50=4', '58+27=85']
Exploring Operation: 4+85=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
3,
88,
55,
25
] | 36 | [
"88-55=33",
"33/3=11",
"25+11=36"
] | Current State: 36:[3, 88, 55, 25], Operations: []
Exploring Operation: 88-55=33, Resulting Numbers: [3, 25, 33]
Generated Node #2: [3, 25, 33] from Operation: 88-55=33
Current State: 36:[3, 25, 33], Operations: ['88-55=33']
Exploring Operation: 33/3=11, Resulting Numbers: [25, 11]
Generated Node #3: [25, 11] from Operation: 33/3=11
Current State: 36:[25, 11], Operations: ['88-55=33', '33/3=11']
Exploring Operation: 25+11=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
35,
72,
21,
38
] | 17 | [
"38-35=3",
"72-21=51",
"51/3=17"
] | Current State: 17:[35, 72, 21, 38], Operations: []
Exploring Operation: 38-35=3, Resulting Numbers: [72, 21, 3]
Generated Node #2: [72, 21, 3] from Operation: 38-35=3
Current State: 17:[72, 21, 3], Operations: ['38-35=3']
Exploring Operation: 72-21=51, Resulting Numbers: [3, 51]
Generated Node #3: [3, 51] from Operation: 72-21=51
Current State: 17:[3, 51], Operations: ['38-35=3', '72-21=51']
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
7,
42,
87,
63
] | 29 | [
"7*87=609",
"63-42=21",
"609/21=29"
] | Current State: 29:[7, 42, 87, 63], Operations: []
Exploring Operation: 7*87=609, Resulting Numbers: [42, 63, 609]
Generated Node #2: [42, 63, 609] from Operation: 7*87=609
Current State: 29:[42, 63, 609], Operations: ['7*87=609']
Exploring Operation: 63-42=21, Resulting Numbers: [609, 21]
Generated Node #3: [609, 21] from Operation: 63-42=21
Current State: 29:[609, 21], Operations: ['7*87=609', '63-42=21']
Exploring Operation: 609/21=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
3,
17,
12,
96
] | 19 | [
"12+96=108",
"108/3=36",
"36-17=19"
] | Current State: 19:[3, 17, 12, 96], Operations: []
Exploring Operation: 12+96=108, Resulting Numbers: [3, 17, 108]
Generated Node #2: [3, 17, 108] from Operation: 12+96=108
Current State: 19:[3, 17, 108], Operations: ['12+96=108']
Exploring Operation: 108/3=36, Resulting Numbers: [17, 36]
Generated Node #3: [17, 36] from Operation: 108/3=36
Current State: 19:[17, 36], Operations: ['12+96=108', '108/3=36']
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
84,
14,
74,
43
] | 37 | [
"84/14=6",
"74-43=31",
"6+31=37"
] | Current State: 37:[84, 14, 74, 43], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [74, 43, 6]
Generated Node #2: [74, 43, 6] from Operation: 84/14=6
Current State: 37:[74, 43, 6], Operations: ['84/14=6']
Exploring Operation: 74-43=31, Resulting Numbers: [6, 31]
Generated Node #3: [6, 31] from Operation: 74-43=31
Current State: 37:[6, 31], Operations: ['84/14=6', '74-43=31']
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
35,
45,
23,
85
] | 84 | [
"23+85=108",
"35*108=3780",
"3780/45=84"
] | Current State: 84:[35, 45, 23, 85], Operations: []
Exploring Operation: 23+85=108, Resulting Numbers: [35, 45, 108]
Generated Node #2: [35, 45, 108] from Operation: 23+85=108
Current State: 84:[35, 45, 108], Operations: ['23+85=108']
Exploring Operation: 35*108=3780, Resulting Numbers: [45, 3780]
Generated Node #3: [45, 3780] from Operation: 35*108=3780
Current State: 84:[45, 3780], Operations: ['23+85=108', '35*108=3780']
Exploring Operation: 3780/45=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
93,
30,
60,
40
] | 64 | [
"93*40=3720",
"3720/30=124",
"124-60=64"
] | Current State: 64:[93, 30, 60, 40], Operations: []
Exploring Operation: 93*40=3720, Resulting Numbers: [30, 60, 3720]
Generated Node #2: [30, 60, 3720] from Operation: 93*40=3720
Current State: 64:[30, 60, 3720], Operations: ['93*40=3720']
Exploring Operation: 3720/30=124, Resulting Numbers: [60, 124]
Generated Node #3: [60, 124] from Operation: 3720/30=124
Current State: 64:[60, 124], Operations: ['93*40=3720', '3720/30=124']
Exploring Operation: 124-60=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
36,
27,
15,
45
] | 69 | [
"36-27=9",
"15+45=60",
"9+60=69"
] | Current State: 69:[36, 27, 15, 45], Operations: []
Exploring Operation: 36-27=9, Resulting Numbers: [15, 45, 9]
Generated Node #2: [15, 45, 9] from Operation: 36-27=9
Current State: 69:[15, 45, 9], Operations: ['36-27=9']
Exploring Operation: 15+45=60, Resulting Numbers: [9, 60]
Generated Node #3: [9, 60] from Operation: 15+45=60
Current State: 69:[9, 60], Operations: ['36-27=9', '15+45=60']
Exploring Operation: 9+60=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
18,
53,
2,
24
] | 68 | [
"18/2=9",
"53+24=77",
"77-9=68"
] | Current State: 68:[18, 53, 2, 24], Operations: []
Exploring Operation: 18/2=9, Resulting Numbers: [53, 24, 9]
Generated Node #2: [53, 24, 9] from Operation: 18/2=9
Current State: 68:[53, 24, 9], Operations: ['18/2=9']
Exploring Operation: 53+24=77, Resulting Numbers: [9, 77]
Generated Node #3: [9, 77] from Operation: 53+24=77
Current State: 68:[9, 77], Operations: ['18/2=9', '53+24=77']
Exploring Operation: 77-9=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
7,
45,
57,
7
] | 12 | [
"7+45=52",
"57+7=64",
"64-52=12"
] | Current State: 12:[7, 45, 57, 7], Operations: []
Exploring Operation: 7+45=52, Resulting Numbers: [57, 52]
Generated Node #2: [57, 52] from Operation: 7+45=52
Current State: 12:[57, 52], Operations: ['7+45=52']
Exploring Operation: 57+7=64, Resulting Numbers: [52, 64]
Generated Node #3: [52, 64] from Operation: 57+7=64
Current State: 12:[52, 64], Operations: ['7+45=52', '57+7=64']
Exploring Operation: 64-52=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
14,
94,
35,
61
] | 33 | [
"61-14=47",
"94/47=2",
"35-2=33"
] | Current State: 33:[14, 94, 35, 61], Operations: []
Exploring Operation: 61-14=47, Resulting Numbers: [94, 35, 47]
Generated Node #2: [94, 35, 47] from Operation: 61-14=47
Current State: 33:[94, 35, 47], Operations: ['61-14=47']
Exploring Operation: 94/47=2, Resulting Numbers: [35, 2]
Generated Node #3: [35, 2] from Operation: 94/47=2
Current State: 33:[35, 2], Operations: ['61-14=47', '94/47=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
3,
75,
18,
21
] | 90 | [
"18/3=6",
"75+21=96",
"96-6=90"
] | Current State: 90:[3, 75, 18, 21], Operations: []
Exploring Operation: 18/3=6, Resulting Numbers: [75, 21, 6]
Generated Node #2: [75, 21, 6] from Operation: 18/3=6
Current State: 90:[75, 21, 6], Operations: ['18/3=6']
Exploring Operation: 75+21=96, Resulting Numbers: [6, 96]
Generated Node #3: [6, 96] from Operation: 75+21=96
Current State: 90:[6, 96], Operations: ['18/3=6', '75+21=96']
Exploring Operation: 96-6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
35,
12,
30,
90
] | 91 | [
"90-12=78",
"35*78=2730",
"2730/30=91"
] | Current State: 91:[35, 12, 30, 90], Operations: []
Exploring Operation: 90-12=78, Resulting Numbers: [35, 30, 78]
Generated Node #2: [35, 30, 78] from Operation: 90-12=78
Current State: 91:[35, 30, 78], Operations: ['90-12=78']
Exploring Operation: 35*78=2730, Resulting Numbers: [30, 2730]
Generated Node #3: [30, 2730] from Operation: 35*78=2730
Current State: 91:[30, 2730], Operations: ['90-12=78', '35*78=2730']
Exploring Operation: 2730/30=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
33,
3,
92,
75
] | 47 | [
"33-3=30",
"92-75=17",
"30+17=47"
] | Current State: 47:[33, 3, 92, 75], Operations: []
Exploring Operation: 33-3=30, Resulting Numbers: [92, 75, 30]
Generated Node #2: [92, 75, 30] from Operation: 33-3=30
Current State: 47:[92, 75, 30], Operations: ['33-3=30']
Exploring Operation: 92-75=17, Resulting Numbers: [30, 17]
Generated Node #3: [30, 17] from Operation: 92-75=17
Current State: 47:[30, 17], Operations: ['33-3=30', '92-75=17']
Exploring Operation: 30+17=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
97,
63,
7,
90
] | 10 | [
"97+63=160",
"160-90=70",
"70/7=10"
] | Current State: 10:[97, 63, 7, 90], Operations: []
Exploring Operation: 97+63=160, Resulting Numbers: [7, 90, 160]
Generated Node #2: [7, 90, 160] from Operation: 97+63=160
Current State: 10:[7, 90, 160], Operations: ['97+63=160']
Exploring Operation: 160-90=70, Resulting Numbers: [7, 70]
Generated Node #3: [7, 70] from Operation: 160-90=70
Current State: 10:[7, 70], Operations: ['97+63=160', '160-90=70']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
93,
53,
26,
55
] | 43 | [
"93*26=2418",
"2418-53=2365",
"2365/55=43"
] | Current State: 43:[93, 53, 26, 55], Operations: []
Exploring Operation: 93*26=2418, Resulting Numbers: [53, 55, 2418]
Generated Node #2: [53, 55, 2418] from Operation: 93*26=2418
Current State: 43:[53, 55, 2418], Operations: ['93*26=2418']
Exploring Operation: 2418-53=2365, Resulting Numbers: [55, 2365]
Generated Node #3: [55, 2365] from Operation: 2418-53=2365
Current State: 43:[55, 2365], Operations: ['93*26=2418', '2418-53=2365']
Exploring Operation: 2365/55=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
69,
93,
24,
24
] | 25 | [
"93-69=24",
"24/24=1",
"24+1=25"
] | Current State: 25:[69, 93, 24, 24], Operations: []
Exploring Operation: 93-69=24, Resulting Numbers: [24, 24, 24]
Generated Node #2: [24, 24, 24] from Operation: 93-69=24
Current State: 25:[24, 24, 24], Operations: ['93-69=24']
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,25 equal: Goal Reached
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
27,
37,
35,
84
] | 38 | [
"27+84=111",
"111/37=3",
"35+3=38"
] | Current State: 38:[27, 37, 35, 84], Operations: []
Exploring Operation: 27+84=111, Resulting Numbers: [37, 35, 111]
Generated Node #2: [37, 35, 111] from Operation: 27+84=111
Current State: 38:[37, 35, 111], Operations: ['27+84=111']
Exploring Operation: 111/37=3, Resulting Numbers: [35, 3]
Generated Node #3: [35, 3] from Operation: 111/37=3
Current State: 38:[35, 3], Operations: ['27+84=111', '111/37=3']
Exploring Operation: 35+3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
18,
2,
66,
89
] | 10 | [
"18+66=84",
"89-84=5",
"2*5=10"
] | Current State: 10:[18, 2, 66, 89], Operations: []
Exploring Operation: 18+66=84, Resulting Numbers: [2, 89, 84]
Generated Node #2: [2, 89, 84] from Operation: 18+66=84
Current State: 10:[2, 89, 84], Operations: ['18+66=84']
Exploring Operation: 89-84=5, Resulting Numbers: [2, 5]
Generated Node #3: [2, 5] from Operation: 89-84=5
Current State: 10:[2, 5], Operations: ['18+66=84', '89-84=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
8,
31,
4,
19
] | 81 | [
"8*31=248",
"248/4=62",
"19+62=81"
] | Current State: 81:[8, 31, 4, 19], Operations: []
Exploring Operation: 8*31=248, Resulting Numbers: [4, 19, 248]
Generated Node #2: [4, 19, 248] from Operation: 8*31=248
Current State: 81:[4, 19, 248], Operations: ['8*31=248']
Exploring Operation: 248/4=62, Resulting Numbers: [19, 62]
Generated Node #3: [19, 62] from Operation: 248/4=62
Current State: 81:[19, 62], Operations: ['8*31=248', '248/4=62']
Exploring Operation: 19+62=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
66,
2,
87,
68
] | 55 | [
"87-66=21",
"68/2=34",
"21+34=55"
] | Current State: 55:[66, 2, 87, 68], Operations: []
Exploring Operation: 87-66=21, Resulting Numbers: [2, 68, 21]
Generated Node #2: [2, 68, 21] from Operation: 87-66=21
Current State: 55:[2, 68, 21], Operations: ['87-66=21']
Exploring Operation: 68/2=34, Resulting Numbers: [21, 34]
Generated Node #3: [21, 34] from Operation: 68/2=34
Current State: 55:[21, 34], Operations: ['87-66=21', '68/2=34']
Exploring Operation: 21+34=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
62,
28,
2,
69
] | 98 | [
"69-62=7",
"28/2=14",
"7*14=98"
] | Current State: 98:[62, 28, 2, 69], Operations: []
Exploring Operation: 69-62=7, Resulting Numbers: [28, 2, 7]
Generated Node #2: [28, 2, 7] from Operation: 69-62=7
Current State: 98:[28, 2, 7], Operations: ['69-62=7']
Exploring Operation: 28/2=14, Resulting Numbers: [7, 14]
Generated Node #3: [7, 14] from Operation: 28/2=14
Current State: 98:[7, 14], Operations: ['69-62=7', '28/2=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
81,
69,
33,
8
] | 13 | [
"81-69=12",
"33-8=25",
"25-12=13"
] | Current State: 13:[81, 69, 33, 8], Operations: []
Exploring Operation: 81-69=12, Resulting Numbers: [33, 8, 12]
Generated Node #2: [33, 8, 12] from Operation: 81-69=12
Current State: 13:[33, 8, 12], Operations: ['81-69=12']
Exploring Operation: 33-8=25, Resulting Numbers: [12, 25]
Generated Node #3: [12, 25] from Operation: 33-8=25
Current State: 13:[12, 25], Operations: ['81-69=12', '33-8=25']
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
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