nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
52,
36,
21,
62
] | 19 | [
"62-36=26",
"52/26=2",
"21-2=19"
] | Current State: 19:[52, 36, 21, 62], Operations: []
Exploring Operation: 62-36=26, Resulting Numbers: [52, 21, 26]
Generated Node #2: [52, 21, 26] from Operation: 62-36=26
Current State: 19:[52, 21, 26], Operations: ['62-36=26']
Exploring Operation: 52/26=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 52/26=2
Current State: 19:[21, 2], Operations: ['62-36=26', '52/26=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
59,
2,
40,
66
] | 92 | [
"59*2=118",
"66-40=26",
"118-26=92"
] | Current State: 92:[59, 2, 40, 66], Operations: []
Exploring Operation: 59*2=118, Resulting Numbers: [40, 66, 118]
Generated Node #2: [40, 66, 118] from Operation: 59*2=118
Current State: 92:[40, 66, 118], Operations: ['59*2=118']
Exploring Operation: 66-40=26, Resulting Numbers: [118, 26]
Generated Node #3: [118, 26] from Operation: 66-40=26
Current State: 92:[118, 26], Operations: ['59*2=118', '66-40=26']
Exploring Operation: 118-26=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
90,
54,
96,
27
] | 75 | [
"90+54=144",
"96-27=69",
"144-69=75"
] | Current State: 75:[90, 54, 96, 27], Operations: []
Exploring Operation: 90+54=144, Resulting Numbers: [96, 27, 144]
Generated Node #2: [96, 27, 144] from Operation: 90+54=144
Current State: 75:[96, 27, 144], Operations: ['90+54=144']
Exploring Operation: 96-27=69, Resulting Numbers: [144, 69]
Generated Node #3: [144, 69] from Operation: 96-27=69
Current State: 75:[144, 69], Operations: ['90+54=144', '96-27=69']
Exploring Operation: 144-69=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
2,
20,
16,
46
] | 84 | [
"2+20=22",
"16+46=62",
"22+62=84"
] | Current State: 84:[2, 20, 16, 46], Operations: []
Exploring Operation: 2+20=22, Resulting Numbers: [16, 46, 22]
Generated Node #2: [16, 46, 22] from Operation: 2+20=22
Current State: 84:[16, 46, 22], Operations: ['2+20=22']
Exploring Operation: 16+46=62, Resulting Numbers: [22, 62]
Generated Node #3: [22, 62] from Operation: 16+46=62
Current State: 84:[22, 62], Operations: ['2+20=22', '16+46=62']
Exploring Operation: 22+62=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
42,
77,
43,
90
] | 56 | [
"77+43=120",
"42*120=5040",
"5040/90=56"
] | Current State: 56:[42, 77, 43, 90], Operations: []
Exploring Operation: 77+43=120, Resulting Numbers: [42, 90, 120]
Generated Node #2: [42, 90, 120] from Operation: 77+43=120
Current State: 56:[42, 90, 120], Operations: ['77+43=120']
Exploring Operation: 42*120=5040, Resulting Numbers: [90, 5040]
Generated Node #3: [90, 5040] from Operation: 42*120=5040
Current State: 56:[90, 5040], Operations: ['77+43=120', '42*120=5040']
Exploring Operation: 5040/90=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
3,
30,
59,
34
] | 14 | [
"59-3=56",
"34-30=4",
"56/4=14"
] | Current State: 14:[3, 30, 59, 34], Operations: []
Exploring Operation: 59-3=56, Resulting Numbers: [30, 34, 56]
Generated Node #2: [30, 34, 56] from Operation: 59-3=56
Current State: 14:[30, 34, 56], Operations: ['59-3=56']
Exploring Operation: 34-30=4, Resulting Numbers: [56, 4]
Generated Node #3: [56, 4] from Operation: 34-30=4
Current State: 14:[56, 4], Operations: ['59-3=56', '34-30=4']
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
34,
45,
80,
63
] | 28 | [
"45-34=11",
"80-63=17",
"11+17=28"
] | Current State: 28:[34, 45, 80, 63], Operations: []
Exploring Operation: 45-34=11, Resulting Numbers: [80, 63, 11]
Generated Node #2: [80, 63, 11] from Operation: 45-34=11
Current State: 28:[80, 63, 11], Operations: ['45-34=11']
Exploring Operation: 80-63=17, Resulting Numbers: [11, 17]
Generated Node #3: [11, 17] from Operation: 80-63=17
Current State: 28:[11, 17], Operations: ['45-34=11', '80-63=17']
Exploring Operation: 11+17=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
15,
41,
47,
7
] | 97 | [
"47-41=6",
"15*6=90",
"7+90=97"
] | Current State: 97:[15, 41, 47, 7], Operations: []
Exploring Operation: 47-41=6, Resulting Numbers: [15, 7, 6]
Generated Node #2: [15, 7, 6] from Operation: 47-41=6
Current State: 97:[15, 7, 6], Operations: ['47-41=6']
Exploring Operation: 15*6=90, Resulting Numbers: [7, 90]
Generated Node #3: [7, 90] from Operation: 15*6=90
Current State: 97:[7, 90], Operations: ['47-41=6', '15*6=90']
Exploring Operation: 7+90=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
20,
59,
88,
3
] | 69 | [
"20+88=108",
"59*3=177",
"177-108=69"
] | Current State: 69:[20, 59, 88, 3], Operations: []
Exploring Operation: 20+88=108, Resulting Numbers: [59, 3, 108]
Generated Node #2: [59, 3, 108] from Operation: 20+88=108
Current State: 69:[59, 3, 108], Operations: ['20+88=108']
Exploring Operation: 59*3=177, Resulting Numbers: [108, 177]
Generated Node #3: [108, 177] from Operation: 59*3=177
Current State: 69:[108, 177], Operations: ['20+88=108', '59*3=177']
Exploring Operation: 177-108=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
89,
73,
33,
6
] | 55 | [
"89-73=16",
"33+6=39",
"16+39=55"
] | Current State: 55:[89, 73, 33, 6], Operations: []
Exploring Operation: 89-73=16, Resulting Numbers: [33, 6, 16]
Generated Node #2: [33, 6, 16] from Operation: 89-73=16
Current State: 55:[33, 6, 16], Operations: ['89-73=16']
Exploring Operation: 33+6=39, Resulting Numbers: [16, 39]
Generated Node #3: [16, 39] from Operation: 33+6=39
Current State: 55:[16, 39], Operations: ['89-73=16', '33+6=39']
Exploring Operation: 16+39=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
48,
16,
62,
40
] | 44 | [
"48+62=110",
"16*110=1760",
"1760/40=44"
] | Current State: 44:[48, 16, 62, 40], Operations: []
Exploring Operation: 48+62=110, Resulting Numbers: [16, 40, 110]
Generated Node #2: [16, 40, 110] from Operation: 48+62=110
Current State: 44:[16, 40, 110], Operations: ['48+62=110']
Exploring Operation: 16*110=1760, Resulting Numbers: [40, 1760]
Generated Node #3: [40, 1760] from Operation: 16*110=1760
Current State: 44:[40, 1760], Operations: ['48+62=110', '16*110=1760']
Exploring Operation: 1760/40=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
14,
70,
99,
56
] | 25 | [
"56/14=4",
"99-70=29",
"29-4=25"
] | Current State: 25:[14, 70, 99, 56], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [70, 99, 4]
Generated Node #2: [70, 99, 4] from Operation: 56/14=4
Current State: 25:[70, 99, 4], Operations: ['56/14=4']
Exploring Operation: 99-70=29, Resulting Numbers: [4, 29]
Generated Node #3: [4, 29] from Operation: 99-70=29
Current State: 25:[4, 29], Operations: ['56/14=4', '99-70=29']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
10,
41,
20,
34
] | 23 | [
"41-10=31",
"20+34=54",
"54-31=23"
] | Current State: 23:[10, 41, 20, 34], Operations: []
Exploring Operation: 41-10=31, Resulting Numbers: [20, 34, 31]
Generated Node #2: [20, 34, 31] from Operation: 41-10=31
Current State: 23:[20, 34, 31], Operations: ['41-10=31']
Exploring Operation: 20+34=54, Resulting Numbers: [31, 54]
Generated Node #3: [31, 54] from Operation: 20+34=54
Current State: 23:[31, 54], Operations: ['41-10=31', '20+34=54']
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
73,
26,
69,
27
] | 77 | [
"73-69=4",
"26*4=104",
"104-27=77"
] | Current State: 77:[73, 26, 69, 27], Operations: []
Exploring Operation: 73-69=4, Resulting Numbers: [26, 27, 4]
Generated Node #2: [26, 27, 4] from Operation: 73-69=4
Current State: 77:[26, 27, 4], Operations: ['73-69=4']
Exploring Operation: 26*4=104, Resulting Numbers: [27, 104]
Generated Node #3: [27, 104] from Operation: 26*4=104
Current State: 77:[27, 104], Operations: ['73-69=4', '26*4=104']
Exploring Operation: 104-27=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
67,
30,
46,
83
] | 32 | [
"67+30=97",
"46+83=129",
"129-97=32"
] | Current State: 32:[67, 30, 46, 83], Operations: []
Exploring Operation: 67+30=97, Resulting Numbers: [46, 83, 97]
Generated Node #2: [46, 83, 97] from Operation: 67+30=97
Current State: 32:[46, 83, 97], Operations: ['67+30=97']
Exploring Operation: 46+83=129, Resulting Numbers: [97, 129]
Generated Node #3: [97, 129] from Operation: 46+83=129
Current State: 32:[97, 129], Operations: ['67+30=97', '46+83=129']
Exploring Operation: 129-97=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
1,
56,
47,
62
] | 70 | [
"56-1=55",
"62-47=15",
"55+15=70"
] | Current State: 70:[1, 56, 47, 62], Operations: []
Exploring Operation: 56-1=55, Resulting Numbers: [47, 62, 55]
Generated Node #2: [47, 62, 55] from Operation: 56-1=55
Current State: 70:[47, 62, 55], Operations: ['56-1=55']
Exploring Operation: 62-47=15, Resulting Numbers: [55, 15]
Generated Node #3: [55, 15] from Operation: 62-47=15
Current State: 70:[55, 15], Operations: ['56-1=55', '62-47=15']
Exploring Operation: 55+15=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
53,
96,
53,
53
] | 48 | [
"53*96=5088",
"53+53=106",
"5088/106=48"
] | Current State: 48:[53, 96, 53, 53], Operations: []
Exploring Operation: 53*96=5088, Resulting Numbers: [5088]
5088,48 equal: Goal Reached
Exploring Operation: 53+53=106, Resulting Numbers: [5088, 106]
Generated Node #2: [5088, 106] from Operation: 53+53=106
Current State: 48:[5088, 106], Operations: ['53+53=106']
Exploring Operation: 5088/106=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
43,
42,
84,
55
] | 14 | [
"55-43=12",
"84/42=2",
"12+2=14"
] | Current State: 14:[43, 42, 84, 55], Operations: []
Exploring Operation: 55-43=12, Resulting Numbers: [42, 84, 12]
Generated Node #2: [42, 84, 12] from Operation: 55-43=12
Current State: 14:[42, 84, 12], Operations: ['55-43=12']
Exploring Operation: 84/42=2, Resulting Numbers: [12, 2]
Generated Node #3: [12, 2] from Operation: 84/42=2
Current State: 14:[12, 2], Operations: ['55-43=12', '84/42=2']
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
89,
62,
57,
60
] | 16 | [
"89-57=32",
"62-60=2",
"32/2=16"
] | Current State: 16:[89, 62, 57, 60], Operations: []
Exploring Operation: 89-57=32, Resulting Numbers: [62, 60, 32]
Generated Node #2: [62, 60, 32] from Operation: 89-57=32
Current State: 16:[62, 60, 32], Operations: ['89-57=32']
Exploring Operation: 62-60=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 62-60=2
Current State: 16:[32, 2], Operations: ['89-57=32', '62-60=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
57,
29,
14,
33
] | 31 | [
"57-29=28",
"28/14=2",
"33-2=31"
] | Current State: 31:[57, 29, 14, 33], Operations: []
Exploring Operation: 57-29=28, Resulting Numbers: [14, 33, 28]
Generated Node #2: [14, 33, 28] from Operation: 57-29=28
Current State: 31:[14, 33, 28], Operations: ['57-29=28']
Exploring Operation: 28/14=2, Resulting Numbers: [33, 2]
Generated Node #3: [33, 2] from Operation: 28/14=2
Current State: 31:[33, 2], Operations: ['57-29=28', '28/14=2']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
83,
68,
89,
23
] | 97 | [
"83-68=15",
"89+23=112",
"112-15=97"
] | Current State: 97:[83, 68, 89, 23], Operations: []
Exploring Operation: 83-68=15, Resulting Numbers: [89, 23, 15]
Generated Node #2: [89, 23, 15] from Operation: 83-68=15
Current State: 97:[89, 23, 15], Operations: ['83-68=15']
Exploring Operation: 89+23=112, Resulting Numbers: [15, 112]
Generated Node #3: [15, 112] from Operation: 89+23=112
Current State: 97:[15, 112], Operations: ['83-68=15', '89+23=112']
Exploring Operation: 112-15=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
19,
62,
47,
44
] | 47 | [
"62-19=43",
"44-43=1",
"47*1=47"
] | Current State: 47:[19, 62, 47, 44], Operations: []
Exploring Operation: 62-19=43, Resulting Numbers: [47, 44, 43]
Generated Node #2: [47, 44, 43] from Operation: 62-19=43
Current State: 47:[47, 44, 43], Operations: ['62-19=43']
Exploring Operation: 44-43=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 44-43=1
Current State: 47:[47, 1], Operations: ['62-19=43', '44-43=1']
Exploring Operation: 47*1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
5,
85,
49,
5
] | 37 | [
"85/5=17",
"49+5=54",
"54-17=37"
] | Current State: 37:[5, 85, 49, 5], Operations: []
Exploring Operation: 85/5=17, Resulting Numbers: [49, 17]
Generated Node #2: [49, 17] from Operation: 85/5=17
Current State: 37:[49, 17], Operations: ['85/5=17']
Exploring Operation: 49+5=54, Resulting Numbers: [17, 54]
Generated Node #3: [17, 54] from Operation: 49+5=54
Current State: 37:[17, 54], Operations: ['85/5=17', '49+5=54']
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
73,
54,
29,
64
] | 35 | [
"73-64=9",
"54/9=6",
"29+6=35"
] | Current State: 35:[73, 54, 29, 64], Operations: []
Exploring Operation: 73-64=9, Resulting Numbers: [54, 29, 9]
Generated Node #2: [54, 29, 9] from Operation: 73-64=9
Current State: 35:[54, 29, 9], Operations: ['73-64=9']
Exploring Operation: 54/9=6, Resulting Numbers: [29, 6]
Generated Node #3: [29, 6] from Operation: 54/9=6
Current State: 35:[29, 6], Operations: ['73-64=9', '54/9=6']
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
49,
87,
34,
26
] | 98 | [
"87-49=38",
"34+26=60",
"38+60=98"
] | Current State: 98:[49, 87, 34, 26], Operations: []
Exploring Operation: 87-49=38, Resulting Numbers: [34, 26, 38]
Generated Node #2: [34, 26, 38] from Operation: 87-49=38
Current State: 98:[34, 26, 38], Operations: ['87-49=38']
Exploring Operation: 34+26=60, Resulting Numbers: [38, 60]
Generated Node #3: [38, 60] from Operation: 34+26=60
Current State: 98:[38, 60], Operations: ['87-49=38', '34+26=60']
Exploring Operation: 38+60=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
98,
5,
95,
74
] | 72 | [
"98-5=93",
"95-74=21",
"93-21=72"
] | Current State: 72:[98, 5, 95, 74], Operations: []
Exploring Operation: 98-5=93, Resulting Numbers: [95, 74, 93]
Generated Node #2: [95, 74, 93] from Operation: 98-5=93
Current State: 72:[95, 74, 93], Operations: ['98-5=93']
Exploring Operation: 95-74=21, Resulting Numbers: [93, 21]
Generated Node #3: [93, 21] from Operation: 95-74=21
Current State: 72:[93, 21], Operations: ['98-5=93', '95-74=21']
Exploring Operation: 93-21=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
2,
43,
56,
55
] | 97 | [
"2*55=110",
"56-43=13",
"110-13=97"
] | Current State: 97:[2, 43, 56, 55], Operations: []
Exploring Operation: 2*55=110, Resulting Numbers: [43, 56, 110]
Generated Node #2: [43, 56, 110] from Operation: 2*55=110
Current State: 97:[43, 56, 110], Operations: ['2*55=110']
Exploring Operation: 56-43=13, Resulting Numbers: [110, 13]
Generated Node #3: [110, 13] from Operation: 56-43=13
Current State: 97:[110, 13], Operations: ['2*55=110', '56-43=13']
Exploring Operation: 110-13=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
97,
56,
87,
9
] | 55 | [
"97-56=41",
"87+9=96",
"96-41=55"
] | Current State: 55:[97, 56, 87, 9], Operations: []
Exploring Operation: 97-56=41, Resulting Numbers: [87, 9, 41]
Generated Node #2: [87, 9, 41] from Operation: 97-56=41
Current State: 55:[87, 9, 41], Operations: ['97-56=41']
Exploring Operation: 87+9=96, Resulting Numbers: [41, 96]
Generated Node #3: [41, 96] from Operation: 87+9=96
Current State: 55:[41, 96], Operations: ['97-56=41', '87+9=96']
Exploring Operation: 96-41=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
47,
41,
44,
55
] | 42 | [
"47-44=3",
"55-41=14",
"3*14=42"
] | Current State: 42:[47, 41, 44, 55], Operations: []
Exploring Operation: 47-44=3, Resulting Numbers: [41, 55, 3]
Generated Node #2: [41, 55, 3] from Operation: 47-44=3
Current State: 42:[41, 55, 3], Operations: ['47-44=3']
Exploring Operation: 55-41=14, Resulting Numbers: [3, 14]
Generated Node #3: [3, 14] from Operation: 55-41=14
Current State: 42:[3, 14], Operations: ['47-44=3', '55-41=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
2,
29,
9,
19
] | 95 | [
"29+9=38",
"2*38=76",
"19+76=95"
] | Current State: 95:[2, 29, 9, 19], Operations: []
Exploring Operation: 29+9=38, Resulting Numbers: [2, 19, 38]
Generated Node #2: [2, 19, 38] from Operation: 29+9=38
Current State: 95:[2, 19, 38], Operations: ['29+9=38']
Exploring Operation: 2*38=76, Resulting Numbers: [19, 76]
Generated Node #3: [19, 76] from Operation: 2*38=76
Current State: 95:[19, 76], Operations: ['29+9=38', '2*38=76']
Exploring Operation: 19+76=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
8,
62,
90,
40
] | 80 | [
"8*90=720",
"720/40=18",
"62+18=80"
] | Current State: 80:[8, 62, 90, 40], Operations: []
Exploring Operation: 8*90=720, Resulting Numbers: [62, 40, 720]
Generated Node #2: [62, 40, 720] from Operation: 8*90=720
Current State: 80:[62, 40, 720], Operations: ['8*90=720']
Exploring Operation: 720/40=18, Resulting Numbers: [62, 18]
Generated Node #3: [62, 18] from Operation: 720/40=18
Current State: 80:[62, 18], Operations: ['8*90=720', '720/40=18']
Exploring Operation: 62+18=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
42,
90,
94,
21
] | 25 | [
"90-42=48",
"94-21=73",
"73-48=25"
] | Current State: 25:[42, 90, 94, 21], Operations: []
Exploring Operation: 90-42=48, Resulting Numbers: [94, 21, 48]
Generated Node #2: [94, 21, 48] from Operation: 90-42=48
Current State: 25:[94, 21, 48], Operations: ['90-42=48']
Exploring Operation: 94-21=73, Resulting Numbers: [48, 73]
Generated Node #3: [48, 73] from Operation: 94-21=73
Current State: 25:[48, 73], Operations: ['90-42=48', '94-21=73']
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
56,
41,
56,
45
] | 45 | [
"56-56=0",
"41*0=0",
"45+0=45"
] | Current State: 45:[56, 41, 56, 45], Operations: []
Exploring Operation: 56-56=0, Resulting Numbers: [41, 45, 0]
Generated Node #2: [41, 45, 0] from Operation: 56-56=0
Current State: 45:[41, 45, 0], Operations: ['56-56=0']
Exploring Operation: 41*0=0, Resulting Numbers: [45, 0]
Generated Node #3: [45, 0] from Operation: 41*0=0
Current State: 45:[45, 0], Operations: ['56-56=0', '41*0=0']
Exploring Operation: 45+0=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
58,
27,
73,
28
] | 16 | [
"58+27=85",
"73+28=101",
"101-85=16"
] | Current State: 16:[58, 27, 73, 28], Operations: []
Exploring Operation: 58+27=85, Resulting Numbers: [73, 28, 85]
Generated Node #2: [73, 28, 85] from Operation: 58+27=85
Current State: 16:[73, 28, 85], Operations: ['58+27=85']
Exploring Operation: 73+28=101, Resulting Numbers: [85, 101]
Generated Node #3: [85, 101] from Operation: 73+28=101
Current State: 16:[85, 101], Operations: ['58+27=85', '73+28=101']
Exploring Operation: 101-85=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
84,
25,
71,
27
] | 15 | [
"84-25=59",
"71-27=44",
"59-44=15"
] | Current State: 15:[84, 25, 71, 27], Operations: []
Exploring Operation: 84-25=59, Resulting Numbers: [71, 27, 59]
Generated Node #2: [71, 27, 59] from Operation: 84-25=59
Current State: 15:[71, 27, 59], Operations: ['84-25=59']
Exploring Operation: 71-27=44, Resulting Numbers: [59, 44]
Generated Node #3: [59, 44] from Operation: 71-27=44
Current State: 15:[59, 44], Operations: ['84-25=59', '71-27=44']
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
79,
4,
27,
50
] | 63 | [
"79-27=52",
"52/4=13",
"50+13=63"
] | Current State: 63:[79, 4, 27, 50], Operations: []
Exploring Operation: 79-27=52, Resulting Numbers: [4, 50, 52]
Generated Node #2: [4, 50, 52] from Operation: 79-27=52
Current State: 63:[4, 50, 52], Operations: ['79-27=52']
Exploring Operation: 52/4=13, Resulting Numbers: [50, 13]
Generated Node #3: [50, 13] from Operation: 52/4=13
Current State: 63:[50, 13], Operations: ['79-27=52', '52/4=13']
Exploring Operation: 50+13=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
87,
18,
61,
59
] | 67 | [
"87-18=69",
"61-59=2",
"69-2=67"
] | Current State: 67:[87, 18, 61, 59], Operations: []
Exploring Operation: 87-18=69, Resulting Numbers: [61, 59, 69]
Generated Node #2: [61, 59, 69] from Operation: 87-18=69
Current State: 67:[61, 59, 69], Operations: ['87-18=69']
Exploring Operation: 61-59=2, Resulting Numbers: [69, 2]
Generated Node #3: [69, 2] from Operation: 61-59=2
Current State: 67:[69, 2], Operations: ['87-18=69', '61-59=2']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
50,
35,
17,
84
] | 70 | [
"84-50=34",
"35*34=1190",
"1190/17=70"
] | Current State: 70:[50, 35, 17, 84], Operations: []
Exploring Operation: 84-50=34, Resulting Numbers: [35, 17, 34]
Generated Node #2: [35, 17, 34] from Operation: 84-50=34
Current State: 70:[35, 17, 34], Operations: ['84-50=34']
Exploring Operation: 35*34=1190, Resulting Numbers: [17, 1190]
Generated Node #3: [17, 1190] from Operation: 35*34=1190
Current State: 70:[17, 1190], Operations: ['84-50=34', '35*34=1190']
Exploring Operation: 1190/17=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
89,
25,
21,
44
] | 49 | [
"89+25=114",
"21+44=65",
"114-65=49"
] | Current State: 49:[89, 25, 21, 44], Operations: []
Exploring Operation: 89+25=114, Resulting Numbers: [21, 44, 114]
Generated Node #2: [21, 44, 114] from Operation: 89+25=114
Current State: 49:[21, 44, 114], Operations: ['89+25=114']
Exploring Operation: 21+44=65, Resulting Numbers: [114, 65]
Generated Node #3: [114, 65] from Operation: 21+44=65
Current State: 49:[114, 65], Operations: ['89+25=114', '21+44=65']
Exploring Operation: 114-65=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
40,
27,
37,
5
] | 18 | [
"40/5=8",
"37-27=10",
"8+10=18"
] | Current State: 18:[40, 27, 37, 5], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [27, 37, 8]
Generated Node #2: [27, 37, 8] from Operation: 40/5=8
Current State: 18:[27, 37, 8], Operations: ['40/5=8']
Exploring Operation: 37-27=10, Resulting Numbers: [8, 10]
Generated Node #3: [8, 10] from Operation: 37-27=10
Current State: 18:[8, 10], Operations: ['40/5=8', '37-27=10']
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
99,
62,
39,
2
] | 29 | [
"99-39=60",
"62/2=31",
"60-31=29"
] | Current State: 29:[99, 62, 39, 2], Operations: []
Exploring Operation: 99-39=60, Resulting Numbers: [62, 2, 60]
Generated Node #2: [62, 2, 60] from Operation: 99-39=60
Current State: 29:[62, 2, 60], Operations: ['99-39=60']
Exploring Operation: 62/2=31, Resulting Numbers: [60, 31]
Generated Node #3: [60, 31] from Operation: 62/2=31
Current State: 29:[60, 31], Operations: ['99-39=60', '62/2=31']
Exploring Operation: 60-31=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
73,
7,
79,
20
] | 75 | [
"73+7=80",
"80/20=4",
"79-4=75"
] | Current State: 75:[73, 7, 79, 20], Operations: []
Exploring Operation: 73+7=80, Resulting Numbers: [79, 20, 80]
Generated Node #2: [79, 20, 80] from Operation: 73+7=80
Current State: 75:[79, 20, 80], Operations: ['73+7=80']
Exploring Operation: 80/20=4, Resulting Numbers: [79, 4]
Generated Node #3: [79, 4] from Operation: 80/20=4
Current State: 75:[79, 4], Operations: ['73+7=80', '80/20=4']
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
5,
20,
92,
3
] | 32 | [
"20/5=4",
"92+4=96",
"96/3=32"
] | Current State: 32:[5, 20, 92, 3], Operations: []
Exploring Operation: 20/5=4, Resulting Numbers: [92, 3, 4]
Generated Node #2: [92, 3, 4] from Operation: 20/5=4
Current State: 32:[92, 3, 4], Operations: ['20/5=4']
Exploring Operation: 92+4=96, Resulting Numbers: [3, 96]
Generated Node #3: [3, 96] from Operation: 92+4=96
Current State: 32:[3, 96], Operations: ['20/5=4', '92+4=96']
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
30,
90,
26,
35
] | 43 | [
"90/30=3",
"26*3=78",
"78-35=43"
] | Current State: 43:[30, 90, 26, 35], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [26, 35, 3]
Generated Node #2: [26, 35, 3] from Operation: 90/30=3
Current State: 43:[26, 35, 3], Operations: ['90/30=3']
Exploring Operation: 26*3=78, Resulting Numbers: [35, 78]
Generated Node #3: [35, 78] from Operation: 26*3=78
Current State: 43:[35, 78], Operations: ['90/30=3', '26*3=78']
Exploring Operation: 78-35=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
34,
74,
51,
15
] | 37 | [
"51-34=17",
"17-15=2",
"74/2=37"
] | Current State: 37:[34, 74, 51, 15], Operations: []
Exploring Operation: 51-34=17, Resulting Numbers: [74, 15, 17]
Generated Node #2: [74, 15, 17] from Operation: 51-34=17
Current State: 37:[74, 15, 17], Operations: ['51-34=17']
Exploring Operation: 17-15=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 17-15=2
Current State: 37:[74, 2], Operations: ['51-34=17', '17-15=2']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
71,
80,
46,
56
] | 79 | [
"56-46=10",
"80/10=8",
"71+8=79"
] | Current State: 79:[71, 80, 46, 56], Operations: []
Exploring Operation: 56-46=10, Resulting Numbers: [71, 80, 10]
Generated Node #2: [71, 80, 10] from Operation: 56-46=10
Current State: 79:[71, 80, 10], Operations: ['56-46=10']
Exploring Operation: 80/10=8, Resulting Numbers: [71, 8]
Generated Node #3: [71, 8] from Operation: 80/10=8
Current State: 79:[71, 8], Operations: ['56-46=10', '80/10=8']
Exploring Operation: 71+8=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
48,
68,
21,
65
] | 66 | [
"68-48=20",
"21+65=86",
"86-20=66"
] | Current State: 66:[48, 68, 21, 65], Operations: []
Exploring Operation: 68-48=20, Resulting Numbers: [21, 65, 20]
Generated Node #2: [21, 65, 20] from Operation: 68-48=20
Current State: 66:[21, 65, 20], Operations: ['68-48=20']
Exploring Operation: 21+65=86, Resulting Numbers: [20, 86]
Generated Node #3: [20, 86] from Operation: 21+65=86
Current State: 66:[20, 86], Operations: ['68-48=20', '21+65=86']
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
6,
98,
5,
95
] | 27 | [
"6*5=30",
"98-95=3",
"30-3=27"
] | Current State: 27:[6, 98, 5, 95], Operations: []
Exploring Operation: 6*5=30, Resulting Numbers: [98, 95, 30]
Generated Node #2: [98, 95, 30] from Operation: 6*5=30
Current State: 27:[98, 95, 30], Operations: ['6*5=30']
Exploring Operation: 98-95=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 98-95=3
Current State: 27:[30, 3], Operations: ['6*5=30', '98-95=3']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
46,
97,
16,
56
] | 64 | [
"46*56=2576",
"2576/16=161",
"161-97=64"
] | Current State: 64:[46, 97, 16, 56], Operations: []
Exploring Operation: 46*56=2576, Resulting Numbers: [97, 16, 2576]
Generated Node #2: [97, 16, 2576] from Operation: 46*56=2576
Current State: 64:[97, 16, 2576], Operations: ['46*56=2576']
Exploring Operation: 2576/16=161, Resulting Numbers: [97, 161]
Generated Node #3: [97, 161] from Operation: 2576/16=161
Current State: 64:[97, 161], Operations: ['46*56=2576', '2576/16=161']
Exploring Operation: 161-97=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
57,
77,
92,
2
] | 56 | [
"77-57=20",
"92+20=112",
"112/2=56"
] | Current State: 56:[57, 77, 92, 2], Operations: []
Exploring Operation: 77-57=20, Resulting Numbers: [92, 2, 20]
Generated Node #2: [92, 2, 20] from Operation: 77-57=20
Current State: 56:[92, 2, 20], Operations: ['77-57=20']
Exploring Operation: 92+20=112, Resulting Numbers: [2, 112]
Generated Node #3: [2, 112] from Operation: 92+20=112
Current State: 56:[2, 112], Operations: ['77-57=20', '92+20=112']
Exploring Operation: 112/2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
67,
30,
14,
17
] | 94 | [
"67+30=97",
"17-14=3",
"97-3=94"
] | Current State: 94:[67, 30, 14, 17], Operations: []
Exploring Operation: 67+30=97, Resulting Numbers: [14, 17, 97]
Generated Node #2: [14, 17, 97] from Operation: 67+30=97
Current State: 94:[14, 17, 97], Operations: ['67+30=97']
Exploring Operation: 17-14=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 17-14=3
Current State: 94:[97, 3], Operations: ['67+30=97', '17-14=3']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
94,
43,
37,
5
] | 70 | [
"94-43=51",
"51-37=14",
"5*14=70"
] | Current State: 70:[94, 43, 37, 5], Operations: []
Exploring Operation: 94-43=51, Resulting Numbers: [37, 5, 51]
Generated Node #2: [37, 5, 51] from Operation: 94-43=51
Current State: 70:[37, 5, 51], Operations: ['94-43=51']
Exploring Operation: 51-37=14, Resulting Numbers: [5, 14]
Generated Node #3: [5, 14] from Operation: 51-37=14
Current State: 70:[5, 14], Operations: ['94-43=51', '51-37=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
95,
19,
13,
6
] | 73 | [
"95/19=5",
"13*6=78",
"78-5=73"
] | Current State: 73:[95, 19, 13, 6], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [13, 6, 5]
Generated Node #2: [13, 6, 5] from Operation: 95/19=5
Current State: 73:[13, 6, 5], Operations: ['95/19=5']
Exploring Operation: 13*6=78, Resulting Numbers: [5, 78]
Generated Node #3: [5, 78] from Operation: 13*6=78
Current State: 73:[5, 78], Operations: ['95/19=5', '13*6=78']
Exploring Operation: 78-5=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
89,
24,
41,
97
] | 38 | [
"97-89=8",
"24/8=3",
"41-3=38"
] | Current State: 38:[89, 24, 41, 97], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [24, 41, 8]
Generated Node #2: [24, 41, 8] from Operation: 97-89=8
Current State: 38:[24, 41, 8], Operations: ['97-89=8']
Exploring Operation: 24/8=3, Resulting Numbers: [41, 3]
Generated Node #3: [41, 3] from Operation: 24/8=3
Current State: 38:[41, 3], Operations: ['97-89=8', '24/8=3']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
78,
83,
13,
39
] | 38 | [
"78/13=6",
"83-39=44",
"44-6=38"
] | Current State: 38:[78, 83, 13, 39], Operations: []
Exploring Operation: 78/13=6, Resulting Numbers: [83, 39, 6]
Generated Node #2: [83, 39, 6] from Operation: 78/13=6
Current State: 38:[83, 39, 6], Operations: ['78/13=6']
Exploring Operation: 83-39=44, Resulting Numbers: [6, 44]
Generated Node #3: [6, 44] from Operation: 83-39=44
Current State: 38:[6, 44], Operations: ['78/13=6', '83-39=44']
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
19,
43,
94,
43
] | 76 | [
"94-19=75",
"43/43=1",
"75+1=76"
] | Current State: 76:[19, 43, 94, 43], Operations: []
Exploring Operation: 94-19=75, Resulting Numbers: [43, 43, 75]
Generated Node #2: [43, 43, 75] from Operation: 94-19=75
Current State: 76:[43, 43, 75], Operations: ['94-19=75']
Exploring Operation: 43/43=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 43/43=1
Current State: 76:[75, 1], Operations: ['94-19=75', '43/43=1']
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
30,
66,
15,
60
] | 51 | [
"30+66=96",
"60-15=45",
"96-45=51"
] | Current State: 51:[30, 66, 15, 60], Operations: []
Exploring Operation: 30+66=96, Resulting Numbers: [15, 60, 96]
Generated Node #2: [15, 60, 96] from Operation: 30+66=96
Current State: 51:[15, 60, 96], Operations: ['30+66=96']
Exploring Operation: 60-15=45, Resulting Numbers: [96, 45]
Generated Node #3: [96, 45] from Operation: 60-15=45
Current State: 51:[96, 45], Operations: ['30+66=96', '60-15=45']
Exploring Operation: 96-45=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
35,
41,
90,
70
] | 85 | [
"41-35=6",
"90/6=15",
"70+15=85"
] | Current State: 85:[35, 41, 90, 70], Operations: []
Exploring Operation: 41-35=6, Resulting Numbers: [90, 70, 6]
Generated Node #2: [90, 70, 6] from Operation: 41-35=6
Current State: 85:[90, 70, 6], Operations: ['41-35=6']
Exploring Operation: 90/6=15, Resulting Numbers: [70, 15]
Generated Node #3: [70, 15] from Operation: 90/6=15
Current State: 85:[70, 15], Operations: ['41-35=6', '90/6=15']
Exploring Operation: 70+15=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
72,
33,
37,
3
] | 73 | [
"72-33=39",
"37-3=34",
"39+34=73"
] | Current State: 73:[72, 33, 37, 3], Operations: []
Exploring Operation: 72-33=39, Resulting Numbers: [37, 3, 39]
Generated Node #2: [37, 3, 39] from Operation: 72-33=39
Current State: 73:[37, 3, 39], Operations: ['72-33=39']
Exploring Operation: 37-3=34, Resulting Numbers: [39, 34]
Generated Node #3: [39, 34] from Operation: 37-3=34
Current State: 73:[39, 34], Operations: ['72-33=39', '37-3=34']
Exploring Operation: 39+34=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
87,
52,
70,
52
] | 50 | [
"87-52=35",
"70/35=2",
"52-2=50"
] | Current State: 50:[87, 52, 70, 52], Operations: []
Exploring Operation: 87-52=35, Resulting Numbers: [70, 35]
Generated Node #2: [70, 35] from Operation: 87-52=35
Current State: 50:[70, 35], Operations: ['87-52=35']
Exploring Operation: 70/35=2, Resulting Numbers: [2]
2,50 equal: Goal Reached
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
22,
20,
38,
17
] | 21 | [
"22+20=42",
"38-17=21",
"42-21=21"
] | Current State: 21:[22, 20, 38, 17], Operations: []
Exploring Operation: 22+20=42, Resulting Numbers: [38, 17, 42]
Generated Node #2: [38, 17, 42] from Operation: 22+20=42
Current State: 21:[38, 17, 42], Operations: ['22+20=42']
Exploring Operation: 38-17=21, Resulting Numbers: [42, 21]
Generated Node #3: [42, 21] from Operation: 38-17=21
Current State: 21:[42, 21], Operations: ['22+20=42', '38-17=21']
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
63,
72,
2,
15
] | 75 | [
"63+72=135",
"15+135=150",
"150/2=75"
] | Current State: 75:[63, 72, 2, 15], Operations: []
Exploring Operation: 63+72=135, Resulting Numbers: [2, 15, 135]
Generated Node #2: [2, 15, 135] from Operation: 63+72=135
Current State: 75:[2, 15, 135], Operations: ['63+72=135']
Exploring Operation: 15+135=150, Resulting Numbers: [2, 150]
Generated Node #3: [2, 150] from Operation: 15+135=150
Current State: 75:[2, 150], Operations: ['63+72=135', '15+135=150']
Exploring Operation: 150/2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
48,
3,
85,
6
] | 74 | [
"85-48=37",
"6/3=2",
"37*2=74"
] | Current State: 74:[48, 3, 85, 6], Operations: []
Exploring Operation: 85-48=37, Resulting Numbers: [3, 6, 37]
Generated Node #2: [3, 6, 37] from Operation: 85-48=37
Current State: 74:[3, 6, 37], Operations: ['85-48=37']
Exploring Operation: 6/3=2, Resulting Numbers: [37, 2]
Generated Node #3: [37, 2] from Operation: 6/3=2
Current State: 74:[37, 2], Operations: ['85-48=37', '6/3=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
5,
68,
71,
44
] | 90 | [
"68-5=63",
"71-44=27",
"63+27=90"
] | Current State: 90:[5, 68, 71, 44], Operations: []
Exploring Operation: 68-5=63, Resulting Numbers: [71, 44, 63]
Generated Node #2: [71, 44, 63] from Operation: 68-5=63
Current State: 90:[71, 44, 63], Operations: ['68-5=63']
Exploring Operation: 71-44=27, Resulting Numbers: [63, 27]
Generated Node #3: [63, 27] from Operation: 71-44=27
Current State: 90:[63, 27], Operations: ['68-5=63', '71-44=27']
Exploring Operation: 63+27=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
33,
86,
24,
5
] | 72 | [
"86-33=53",
"24-5=19",
"53+19=72"
] | Current State: 72:[33, 86, 24, 5], Operations: []
Exploring Operation: 86-33=53, Resulting Numbers: [24, 5, 53]
Generated Node #2: [24, 5, 53] from Operation: 86-33=53
Current State: 72:[24, 5, 53], Operations: ['86-33=53']
Exploring Operation: 24-5=19, Resulting Numbers: [53, 19]
Generated Node #3: [53, 19] from Operation: 24-5=19
Current State: 72:[53, 19], Operations: ['86-33=53', '24-5=19']
Exploring Operation: 53+19=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
29,
5,
38,
56
] | 61 | [
"56-38=18",
"5*18=90",
"90-29=61"
] | Current State: 61:[29, 5, 38, 56], Operations: []
Exploring Operation: 56-38=18, Resulting Numbers: [29, 5, 18]
Generated Node #2: [29, 5, 18] from Operation: 56-38=18
Current State: 61:[29, 5, 18], Operations: ['56-38=18']
Exploring Operation: 5*18=90, Resulting Numbers: [29, 90]
Generated Node #3: [29, 90] from Operation: 5*18=90
Current State: 61:[29, 90], Operations: ['56-38=18', '5*18=90']
Exploring Operation: 90-29=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
18,
44,
21,
44
] | 38 | [
"18+21=39",
"44/44=1",
"39-1=38"
] | Current State: 38:[18, 44, 21, 44], Operations: []
Exploring Operation: 18+21=39, Resulting Numbers: [44, 44, 39]
Generated Node #2: [44, 44, 39] from Operation: 18+21=39
Current State: 38:[44, 44, 39], Operations: ['18+21=39']
Exploring Operation: 44/44=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 44/44=1
Current State: 38:[39, 1], Operations: ['18+21=39', '44/44=1']
Exploring Operation: 39-1=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
36,
12,
2,
55
] | 61 | [
"36/12=3",
"2*3=6",
"55+6=61"
] | Current State: 61:[36, 12, 2, 55], Operations: []
Exploring Operation: 36/12=3, Resulting Numbers: [2, 55, 3]
Generated Node #2: [2, 55, 3] from Operation: 36/12=3
Current State: 61:[2, 55, 3], Operations: ['36/12=3']
Exploring Operation: 2*3=6, Resulting Numbers: [55, 6]
Generated Node #3: [55, 6] from Operation: 2*3=6
Current State: 61:[55, 6], Operations: ['36/12=3', '2*3=6']
Exploring Operation: 55+6=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
56,
1,
59,
68
] | 46 | [
"56-1=55",
"68-59=9",
"55-9=46"
] | Current State: 46:[56, 1, 59, 68], Operations: []
Exploring Operation: 56-1=55, Resulting Numbers: [59, 68, 55]
Generated Node #2: [59, 68, 55] from Operation: 56-1=55
Current State: 46:[59, 68, 55], Operations: ['56-1=55']
Exploring Operation: 68-59=9, Resulting Numbers: [55, 9]
Generated Node #3: [55, 9] from Operation: 68-59=9
Current State: 46:[55, 9], Operations: ['56-1=55', '68-59=9']
Exploring Operation: 55-9=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
79,
96,
81,
49
] | 97 | [
"81-79=2",
"96/2=48",
"49+48=97"
] | Current State: 97:[79, 96, 81, 49], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [96, 49, 2]
Generated Node #2: [96, 49, 2] from Operation: 81-79=2
Current State: 97:[96, 49, 2], Operations: ['81-79=2']
Exploring Operation: 96/2=48, Resulting Numbers: [49, 48]
Generated Node #3: [49, 48] from Operation: 96/2=48
Current State: 97:[49, 48], Operations: ['81-79=2', '96/2=48']
Exploring Operation: 49+48=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
52,
58,
82,
30
] | 58 | [
"52+58=110",
"82-30=52",
"110-52=58"
] | Current State: 58:[52, 58, 82, 30], Operations: []
Exploring Operation: 52+58=110, Resulting Numbers: [82, 30, 110]
Generated Node #2: [82, 30, 110] from Operation: 52+58=110
Current State: 58:[82, 30, 110], Operations: ['52+58=110']
Exploring Operation: 82-30=52, Resulting Numbers: [110, 52]
Generated Node #3: [110, 52] from Operation: 82-30=52
Current State: 58:[110, 52], Operations: ['52+58=110', '82-30=52']
Exploring Operation: 110-52=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
68,
33,
16,
48
] | 68 | [
"33+16=49",
"49-48=1",
"68*1=68"
] | Current State: 68:[68, 33, 16, 48], Operations: []
Exploring Operation: 33+16=49, Resulting Numbers: [68, 48, 49]
Generated Node #2: [68, 48, 49] from Operation: 33+16=49
Current State: 68:[68, 48, 49], Operations: ['33+16=49']
Exploring Operation: 49-48=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 49-48=1
Current State: 68:[68, 1], Operations: ['33+16=49', '49-48=1']
Exploring Operation: 68*1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
43,
76,
90,
32
] | 56 | [
"43+90=133",
"32*133=4256",
"4256/76=56"
] | Current State: 56:[43, 76, 90, 32], Operations: []
Exploring Operation: 43+90=133, Resulting Numbers: [76, 32, 133]
Generated Node #2: [76, 32, 133] from Operation: 43+90=133
Current State: 56:[76, 32, 133], Operations: ['43+90=133']
Exploring Operation: 32*133=4256, Resulting Numbers: [76, 4256]
Generated Node #3: [76, 4256] from Operation: 32*133=4256
Current State: 56:[76, 4256], Operations: ['43+90=133', '32*133=4256']
Exploring Operation: 4256/76=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
3,
75,
11,
43
] | 87 | [
"11+43=54",
"3*54=162",
"162-75=87"
] | Current State: 87:[3, 75, 11, 43], Operations: []
Exploring Operation: 11+43=54, Resulting Numbers: [3, 75, 54]
Generated Node #2: [3, 75, 54] from Operation: 11+43=54
Current State: 87:[3, 75, 54], Operations: ['11+43=54']
Exploring Operation: 3*54=162, Resulting Numbers: [75, 162]
Generated Node #3: [75, 162] from Operation: 3*54=162
Current State: 87:[75, 162], Operations: ['11+43=54', '3*54=162']
Exploring Operation: 162-75=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
59,
49,
36,
59
] | 62 | [
"59+49=108",
"108/36=3",
"59+3=62"
] | Current State: 62:[59, 49, 36, 59], Operations: []
Exploring Operation: 59+49=108, Resulting Numbers: [36, 108]
Generated Node #2: [36, 108] from Operation: 59+49=108
Current State: 62:[36, 108], Operations: ['59+49=108']
Exploring Operation: 108/36=3, Resulting Numbers: [3]
3,62 equal: Goal Reached
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
3,
61,
51,
59
] | 96 | [
"51-3=48",
"61-59=2",
"48*2=96"
] | Current State: 96:[3, 61, 51, 59], Operations: []
Exploring Operation: 51-3=48, Resulting Numbers: [61, 59, 48]
Generated Node #2: [61, 59, 48] from Operation: 51-3=48
Current State: 96:[61, 59, 48], Operations: ['51-3=48']
Exploring Operation: 61-59=2, Resulting Numbers: [48, 2]
Generated Node #3: [48, 2] from Operation: 61-59=2
Current State: 96:[48, 2], Operations: ['51-3=48', '61-59=2']
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
63,
69,
61,
27
] | 82 | [
"69-63=6",
"61+27=88",
"88-6=82"
] | Current State: 82:[63, 69, 61, 27], Operations: []
Exploring Operation: 69-63=6, Resulting Numbers: [61, 27, 6]
Generated Node #2: [61, 27, 6] from Operation: 69-63=6
Current State: 82:[61, 27, 6], Operations: ['69-63=6']
Exploring Operation: 61+27=88, Resulting Numbers: [6, 88]
Generated Node #3: [6, 88] from Operation: 61+27=88
Current State: 82:[6, 88], Operations: ['69-63=6', '61+27=88']
Exploring Operation: 88-6=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
10,
18,
58,
96
] | 26 | [
"10*18=180",
"58+96=154",
"180-154=26"
] | Current State: 26:[10, 18, 58, 96], Operations: []
Exploring Operation: 10*18=180, Resulting Numbers: [58, 96, 180]
Generated Node #2: [58, 96, 180] from Operation: 10*18=180
Current State: 26:[58, 96, 180], Operations: ['10*18=180']
Exploring Operation: 58+96=154, Resulting Numbers: [180, 154]
Generated Node #3: [180, 154] from Operation: 58+96=154
Current State: 26:[180, 154], Operations: ['10*18=180', '58+96=154']
Exploring Operation: 180-154=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
92,
87,
41,
34
] | 32 | [
"87-41=46",
"92/46=2",
"34-2=32"
] | Current State: 32:[92, 87, 41, 34], Operations: []
Exploring Operation: 87-41=46, Resulting Numbers: [92, 34, 46]
Generated Node #2: [92, 34, 46] from Operation: 87-41=46
Current State: 32:[92, 34, 46], Operations: ['87-41=46']
Exploring Operation: 92/46=2, Resulting Numbers: [34, 2]
Generated Node #3: [34, 2] from Operation: 92/46=2
Current State: 32:[34, 2], Operations: ['87-41=46', '92/46=2']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
41,
6,
58,
78
] | 67 | [
"41+6=47",
"78-58=20",
"47+20=67"
] | Current State: 67:[41, 6, 58, 78], Operations: []
Exploring Operation: 41+6=47, Resulting Numbers: [58, 78, 47]
Generated Node #2: [58, 78, 47] from Operation: 41+6=47
Current State: 67:[58, 78, 47], Operations: ['41+6=47']
Exploring Operation: 78-58=20, Resulting Numbers: [47, 20]
Generated Node #3: [47, 20] from Operation: 78-58=20
Current State: 67:[47, 20], Operations: ['41+6=47', '78-58=20']
Exploring Operation: 47+20=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
9,
23,
37,
1
] | 50 | [
"23-9=14",
"37-1=36",
"14+36=50"
] | Current State: 50:[9, 23, 37, 1], Operations: []
Exploring Operation: 23-9=14, Resulting Numbers: [37, 1, 14]
Generated Node #2: [37, 1, 14] from Operation: 23-9=14
Current State: 50:[37, 1, 14], Operations: ['23-9=14']
Exploring Operation: 37-1=36, Resulting Numbers: [14, 36]
Generated Node #3: [14, 36] from Operation: 37-1=36
Current State: 50:[14, 36], Operations: ['23-9=14', '37-1=36']
Exploring Operation: 14+36=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
24,
77,
15,
30
] | 98 | [
"77-24=53",
"15+30=45",
"53+45=98"
] | Current State: 98:[24, 77, 15, 30], Operations: []
Exploring Operation: 77-24=53, Resulting Numbers: [15, 30, 53]
Generated Node #2: [15, 30, 53] from Operation: 77-24=53
Current State: 98:[15, 30, 53], Operations: ['77-24=53']
Exploring Operation: 15+30=45, Resulting Numbers: [53, 45]
Generated Node #3: [53, 45] from Operation: 15+30=45
Current State: 98:[53, 45], Operations: ['77-24=53', '15+30=45']
Exploring Operation: 53+45=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
84,
21,
91,
39
] | 85 | [
"91*39=3549",
"3549/21=169",
"169-84=85"
] | Current State: 85:[84, 21, 91, 39], Operations: []
Exploring Operation: 91*39=3549, Resulting Numbers: [84, 21, 3549]
Generated Node #2: [84, 21, 3549] from Operation: 91*39=3549
Current State: 85:[84, 21, 3549], Operations: ['91*39=3549']
Exploring Operation: 3549/21=169, Resulting Numbers: [84, 169]
Generated Node #3: [84, 169] from Operation: 3549/21=169
Current State: 85:[84, 169], Operations: ['91*39=3549', '3549/21=169']
Exploring Operation: 169-84=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
32,
63,
54,
68
] | 45 | [
"63-32=31",
"68-54=14",
"31+14=45"
] | Current State: 45:[32, 63, 54, 68], Operations: []
Exploring Operation: 63-32=31, Resulting Numbers: [54, 68, 31]
Generated Node #2: [54, 68, 31] from Operation: 63-32=31
Current State: 45:[54, 68, 31], Operations: ['63-32=31']
Exploring Operation: 68-54=14, Resulting Numbers: [31, 14]
Generated Node #3: [31, 14] from Operation: 68-54=14
Current State: 45:[31, 14], Operations: ['63-32=31', '68-54=14']
Exploring Operation: 31+14=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
30,
46,
2,
78
] | 40 | [
"30+46=76",
"76/2=38",
"78-38=40"
] | Current State: 40:[30, 46, 2, 78], Operations: []
Exploring Operation: 30+46=76, Resulting Numbers: [2, 78, 76]
Generated Node #2: [2, 78, 76] from Operation: 30+46=76
Current State: 40:[2, 78, 76], Operations: ['30+46=76']
Exploring Operation: 76/2=38, Resulting Numbers: [78, 38]
Generated Node #3: [78, 38] from Operation: 76/2=38
Current State: 40:[78, 38], Operations: ['30+46=76', '76/2=38']
Exploring Operation: 78-38=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
74,
58,
50,
95
] | 87 | [
"74+58=132",
"95-50=45",
"132-45=87"
] | Current State: 87:[74, 58, 50, 95], Operations: []
Exploring Operation: 74+58=132, Resulting Numbers: [50, 95, 132]
Generated Node #2: [50, 95, 132] from Operation: 74+58=132
Current State: 87:[50, 95, 132], Operations: ['74+58=132']
Exploring Operation: 95-50=45, Resulting Numbers: [132, 45]
Generated Node #3: [132, 45] from Operation: 95-50=45
Current State: 87:[132, 45], Operations: ['74+58=132', '95-50=45']
Exploring Operation: 132-45=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
62,
4,
96,
46
] | 26 | [
"62+96=158",
"4*46=184",
"184-158=26"
] | Current State: 26:[62, 4, 96, 46], Operations: []
Exploring Operation: 62+96=158, Resulting Numbers: [4, 46, 158]
Generated Node #2: [4, 46, 158] from Operation: 62+96=158
Current State: 26:[4, 46, 158], Operations: ['62+96=158']
Exploring Operation: 4*46=184, Resulting Numbers: [158, 184]
Generated Node #3: [158, 184] from Operation: 4*46=184
Current State: 26:[158, 184], Operations: ['62+96=158', '4*46=184']
Exploring Operation: 184-158=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
73,
2,
71,
31
] | 66 | [
"73-71=2",
"2+31=33",
"2*33=66"
] | Current State: 66:[73, 2, 71, 31], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [2, 31, 2]
Generated Node #2: [2, 31, 2] from Operation: 73-71=2
Current State: 66:[2, 31, 2], Operations: ['73-71=2']
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,66 equal: Goal Reached
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
79,
29,
76,
56
] | 82 | [
"79-29=50",
"76+56=132",
"132-50=82"
] | Current State: 82:[79, 29, 76, 56], Operations: []
Exploring Operation: 79-29=50, Resulting Numbers: [76, 56, 50]
Generated Node #2: [76, 56, 50] from Operation: 79-29=50
Current State: 82:[76, 56, 50], Operations: ['79-29=50']
Exploring Operation: 76+56=132, Resulting Numbers: [50, 132]
Generated Node #3: [50, 132] from Operation: 76+56=132
Current State: 82:[50, 132], Operations: ['79-29=50', '76+56=132']
Exploring Operation: 132-50=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
4,
90,
35,
44
] | 94 | [
"4*35=140",
"90-44=46",
"140-46=94"
] | Current State: 94:[4, 90, 35, 44], Operations: []
Exploring Operation: 4*35=140, Resulting Numbers: [90, 44, 140]
Generated Node #2: [90, 44, 140] from Operation: 4*35=140
Current State: 94:[90, 44, 140], Operations: ['4*35=140']
Exploring Operation: 90-44=46, Resulting Numbers: [140, 46]
Generated Node #3: [140, 46] from Operation: 90-44=46
Current State: 94:[140, 46], Operations: ['4*35=140', '90-44=46']
Exploring Operation: 140-46=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
5,
26,
30,
37
] | 61 | [
"37-30=7",
"5*7=35",
"26+35=61"
] | Current State: 61:[5, 26, 30, 37], Operations: []
Exploring Operation: 37-30=7, Resulting Numbers: [5, 26, 7]
Generated Node #2: [5, 26, 7] from Operation: 37-30=7
Current State: 61:[5, 26, 7], Operations: ['37-30=7']
Exploring Operation: 5*7=35, Resulting Numbers: [26, 35]
Generated Node #3: [26, 35] from Operation: 5*7=35
Current State: 61:[26, 35], Operations: ['37-30=7', '5*7=35']
Exploring Operation: 26+35=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
45,
46,
10,
88
] | 98 | [
"46-45=1",
"10+88=98",
"1*98=98"
] | Current State: 98:[45, 46, 10, 88], Operations: []
Exploring Operation: 46-45=1, Resulting Numbers: [10, 88, 1]
Generated Node #2: [10, 88, 1] from Operation: 46-45=1
Current State: 98:[10, 88, 1], Operations: ['46-45=1']
Exploring Operation: 10+88=98, Resulting Numbers: [1, 98]
Generated Node #3: [1, 98] from Operation: 10+88=98
Current State: 98:[1, 98], Operations: ['46-45=1', '10+88=98']
Exploring Operation: 1*98=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
86,
53,
73,
9
] | 49 | [
"86-53=33",
"73+9=82",
"82-33=49"
] | Current State: 49:[86, 53, 73, 9], Operations: []
Exploring Operation: 86-53=33, Resulting Numbers: [73, 9, 33]
Generated Node #2: [73, 9, 33] from Operation: 86-53=33
Current State: 49:[73, 9, 33], Operations: ['86-53=33']
Exploring Operation: 73+9=82, Resulting Numbers: [33, 82]
Generated Node #3: [33, 82] from Operation: 73+9=82
Current State: 49:[33, 82], Operations: ['86-53=33', '73+9=82']
Exploring Operation: 82-33=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
28,
24,
25,
86
] | 78 | [
"28-25=3",
"24/3=8",
"86-8=78"
] | Current State: 78:[28, 24, 25, 86], Operations: []
Exploring Operation: 28-25=3, Resulting Numbers: [24, 86, 3]
Generated Node #2: [24, 86, 3] from Operation: 28-25=3
Current State: 78:[24, 86, 3], Operations: ['28-25=3']
Exploring Operation: 24/3=8, Resulting Numbers: [86, 8]
Generated Node #3: [86, 8] from Operation: 24/3=8
Current State: 78:[86, 8], Operations: ['28-25=3', '24/3=8']
Exploring Operation: 86-8=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
7,
3,
17,
60
] | 21 | [
"7*60=420",
"3+17=20",
"420/20=21"
] | Current State: 21:[7, 3, 17, 60], Operations: []
Exploring Operation: 7*60=420, Resulting Numbers: [3, 17, 420]
Generated Node #2: [3, 17, 420] from Operation: 7*60=420
Current State: 21:[3, 17, 420], Operations: ['7*60=420']
Exploring Operation: 3+17=20, Resulting Numbers: [420, 20]
Generated Node #3: [420, 20] from Operation: 3+17=20
Current State: 21:[420, 20], Operations: ['7*60=420', '3+17=20']
Exploring Operation: 420/20=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
82,
15,
74,
2
] | 19 | [
"82-74=8",
"8/2=4",
"15+4=19"
] | Current State: 19:[82, 15, 74, 2], Operations: []
Exploring Operation: 82-74=8, Resulting Numbers: [15, 2, 8]
Generated Node #2: [15, 2, 8] from Operation: 82-74=8
Current State: 19:[15, 2, 8], Operations: ['82-74=8']
Exploring Operation: 8/2=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 8/2=4
Current State: 19:[15, 4], Operations: ['82-74=8', '8/2=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
85,
7,
57,
43
] | 39 | [
"85-57=28",
"28/7=4",
"43-4=39"
] | Current State: 39:[85, 7, 57, 43], Operations: []
Exploring Operation: 85-57=28, Resulting Numbers: [7, 43, 28]
Generated Node #2: [7, 43, 28] from Operation: 85-57=28
Current State: 39:[7, 43, 28], Operations: ['85-57=28']
Exploring Operation: 28/7=4, Resulting Numbers: [43, 4]
Generated Node #3: [43, 4] from Operation: 28/7=4
Current State: 39:[43, 4], Operations: ['85-57=28', '28/7=4']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
64,
22,
30,
61
] | 69 | [
"30-22=8",
"64/8=8",
"61+8=69"
] | Current State: 69:[64, 22, 30, 61], Operations: []
Exploring Operation: 30-22=8, Resulting Numbers: [64, 61, 8]
Generated Node #2: [64, 61, 8] from Operation: 30-22=8
Current State: 69:[64, 61, 8], Operations: ['30-22=8']
Exploring Operation: 64/8=8, Resulting Numbers: [61, 8]
Generated Node #3: [61, 8] from Operation: 64/8=8
Current State: 69:[61, 8], Operations: ['30-22=8', '64/8=8']
Exploring Operation: 61+8=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
33,
12,
40,
35
] | 24 | [
"33-12=21",
"40*21=840",
"840/35=24"
] | Current State: 24:[33, 12, 40, 35], Operations: []
Exploring Operation: 33-12=21, Resulting Numbers: [40, 35, 21]
Generated Node #2: [40, 35, 21] from Operation: 33-12=21
Current State: 24:[40, 35, 21], Operations: ['33-12=21']
Exploring Operation: 40*21=840, Resulting Numbers: [35, 840]
Generated Node #3: [35, 840] from Operation: 40*21=840
Current State: 24:[35, 840], Operations: ['33-12=21', '40*21=840']
Exploring Operation: 840/35=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
96,
23,
77,
12
] | 92 | [
"96/12=8",
"23+77=100",
"100-8=92"
] | Current State: 92:[96, 23, 77, 12], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [23, 77, 8]
Generated Node #2: [23, 77, 8] from Operation: 96/12=8
Current State: 92:[23, 77, 8], Operations: ['96/12=8']
Exploring Operation: 23+77=100, Resulting Numbers: [8, 100]
Generated Node #3: [8, 100] from Operation: 23+77=100
Current State: 92:[8, 100], Operations: ['96/12=8', '23+77=100']
Exploring Operation: 100-8=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
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