Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 87, 57, 21, 46 ]
49
[ "87+46=133", "21*133=2793", "2793/57=49" ]
Current State: 49:[87, 57, 21, 46], Operations: [] Exploring Operation: 87+46=133, Resulting Numbers: [57, 21, 133] Generated Node #2: [57, 21, 133] from Operation: 87+46=133 Current State: 49:[57, 21, 133], Operations: ['87+46=133'] Exploring Operation: 21*133=2793, Resulting Numbers: [57, 2793] Generated Node #3: [57, 2793] from Operation: 21*133=2793 Current State: 49:[57, 2793], Operations: ['87+46=133', '21*133=2793'] Exploring Operation: 2793/57=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 6, 63, 54, 99 ]
96
[ "63-6=57", "54+99=153", "153-57=96" ]
Current State: 96:[6, 63, 54, 99], Operations: [] Exploring Operation: 63-6=57, Resulting Numbers: [54, 99, 57] Generated Node #2: [54, 99, 57] from Operation: 63-6=57 Current State: 96:[54, 99, 57], Operations: ['63-6=57'] Exploring Operation: 54+99=153, Resulting Numbers: [57, 153] Generated Node #3: [57, 153] from Operation: 54+99=153 Current State: 96:[57, 153], Operations: ['63-6=57', '54+99=153'] Exploring Operation: 153-57=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 27, 72, 23, 37 ]
31
[ "72-27=45", "37-23=14", "45-14=31" ]
Current State: 31:[27, 72, 23, 37], Operations: [] Exploring Operation: 72-27=45, Resulting Numbers: [23, 37, 45] Generated Node #2: [23, 37, 45] from Operation: 72-27=45 Current State: 31:[23, 37, 45], Operations: ['72-27=45'] Exploring Operation: 37-23=14, Resulting Numbers: [45, 14] Generated Node #3: [45, 14] from Operation: 37-23=14 Current State: 31:[45, 14], Operations: ['72-27=45', '37-23=14'] Exploring Operation: 45-14=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 38, 54, 16, 21 ]
87
[ "38+54=92", "21-16=5", "92-5=87" ]
Current State: 87:[38, 54, 16, 21], Operations: [] Exploring Operation: 38+54=92, Resulting Numbers: [16, 21, 92] Generated Node #2: [16, 21, 92] from Operation: 38+54=92 Current State: 87:[16, 21, 92], Operations: ['38+54=92'] Exploring Operation: 21-16=5, Resulting Numbers: [92, 5] Generated Node #3: [92, 5] from Operation: 21-16=5 Current State: 87:[92, 5], Operations: ['38+54=92', '21-16=5'] Exploring Operation: 92-5=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 33, 74, 8, 54 ]
27
[ "33*54=1782", "74-8=66", "1782/66=27" ]
Current State: 27:[33, 74, 8, 54], Operations: [] Exploring Operation: 33*54=1782, Resulting Numbers: [74, 8, 1782] Generated Node #2: [74, 8, 1782] from Operation: 33*54=1782 Current State: 27:[74, 8, 1782], Operations: ['33*54=1782'] Exploring Operation: 74-8=66, Resulting Numbers: [1782, 66] Generated Node #3: [1782, 66] from Operation: 74-8=66 Current State: 27:[1782, 66], Operations: ['33*54=1782', '74-8=66'] Exploring Operation: 1782/66=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 27, 7, 29, 71 ]
85
[ "29-27=2", "7*2=14", "71+14=85" ]
Current State: 85:[27, 7, 29, 71], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [7, 71, 2] Generated Node #2: [7, 71, 2] from Operation: 29-27=2 Current State: 85:[7, 71, 2], Operations: ['29-27=2'] Exploring Operation: 7*2=14, Resulting Numbers: [71, 14] Generated Node #3: [71, 14] from Operation: 7*2=14 Current State: 85:[71, 14], Operations: ['29-27=2', '7*2=14'] Exploring Operation: 71+14=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 13, 1, 9, 10 ]
12
[ "13*1=13", "10-9=1", "13-1=12" ]
Current State: 12:[13, 1, 9, 10], Operations: [] Exploring Operation: 13*1=13, Resulting Numbers: [9, 10, 13] Generated Node #2: [9, 10, 13] from Operation: 13*1=13 Current State: 12:[9, 10, 13], Operations: ['13*1=13'] Exploring Operation: 10-9=1, Resulting Numbers: [13, 1] Generated Node #3: [13, 1] from Operation: 10-9=1 Current State: 12:[13, 1], Operations: ['13*1=13', '10-9=1'] Exploring Operation: 13-1=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 77, 99, 81, 7 ]
96
[ "99-77=22", "81-7=74", "22+74=96" ]
Current State: 96:[77, 99, 81, 7], Operations: [] Exploring Operation: 99-77=22, Resulting Numbers: [81, 7, 22] Generated Node #2: [81, 7, 22] from Operation: 99-77=22 Current State: 96:[81, 7, 22], Operations: ['99-77=22'] Exploring Operation: 81-7=74, Resulting Numbers: [22, 74] Generated Node #3: [22, 74] from Operation: 81-7=74 Current State: 96:[22, 74], Operations: ['99-77=22', '81-7=74'] Exploring Operation: 22+74=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 62, 34, 6, 12 ]
28
[ "62+34=96", "96/6=16", "12+16=28" ]
Current State: 28:[62, 34, 6, 12], Operations: [] Exploring Operation: 62+34=96, Resulting Numbers: [6, 12, 96] Generated Node #2: [6, 12, 96] from Operation: 62+34=96 Current State: 28:[6, 12, 96], Operations: ['62+34=96'] Exploring Operation: 96/6=16, Resulting Numbers: [12, 16] Generated Node #3: [12, 16] from Operation: 96/6=16 Current State: 28:[12, 16], Operations: ['62+34=96', '96/6=16'] Exploring Operation: 12+16=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 71, 8, 75, 66 ]
68
[ "75-71=4", "8/4=2", "66+2=68" ]
Current State: 68:[71, 8, 75, 66], Operations: [] Exploring Operation: 75-71=4, Resulting Numbers: [8, 66, 4] Generated Node #2: [8, 66, 4] from Operation: 75-71=4 Current State: 68:[8, 66, 4], Operations: ['75-71=4'] Exploring Operation: 8/4=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 8/4=2 Current State: 68:[66, 2], Operations: ['75-71=4', '8/4=2'] Exploring Operation: 66+2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 35, 3, 49, 57 ]
46
[ "35+3=38", "57-49=8", "38+8=46" ]
Current State: 46:[35, 3, 49, 57], Operations: [] Exploring Operation: 35+3=38, Resulting Numbers: [49, 57, 38] Generated Node #2: [49, 57, 38] from Operation: 35+3=38 Current State: 46:[49, 57, 38], Operations: ['35+3=38'] Exploring Operation: 57-49=8, Resulting Numbers: [38, 8] Generated Node #3: [38, 8] from Operation: 57-49=8 Current State: 46:[38, 8], Operations: ['35+3=38', '57-49=8'] Exploring Operation: 38+8=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 3, 11, 39, 62 ]
64
[ "39/3=13", "62-11=51", "13+51=64" ]
Current State: 64:[3, 11, 39, 62], Operations: [] Exploring Operation: 39/3=13, Resulting Numbers: [11, 62, 13] Generated Node #2: [11, 62, 13] from Operation: 39/3=13 Current State: 64:[11, 62, 13], Operations: ['39/3=13'] Exploring Operation: 62-11=51, Resulting Numbers: [13, 51] Generated Node #3: [13, 51] from Operation: 62-11=51 Current State: 64:[13, 51], Operations: ['39/3=13', '62-11=51'] Exploring Operation: 13+51=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 29, 17, 82, 31 ]
63
[ "29-17=12", "82-31=51", "12+51=63" ]
Current State: 63:[29, 17, 82, 31], Operations: [] Exploring Operation: 29-17=12, Resulting Numbers: [82, 31, 12] Generated Node #2: [82, 31, 12] from Operation: 29-17=12 Current State: 63:[82, 31, 12], Operations: ['29-17=12'] Exploring Operation: 82-31=51, Resulting Numbers: [12, 51] Generated Node #3: [12, 51] from Operation: 82-31=51 Current State: 63:[12, 51], Operations: ['29-17=12', '82-31=51'] Exploring Operation: 12+51=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 30, 12, 8, 49 ]
71
[ "12-8=4", "30*4=120", "120-49=71" ]
Current State: 71:[30, 12, 8, 49], Operations: [] Exploring Operation: 12-8=4, Resulting Numbers: [30, 49, 4] Generated Node #2: [30, 49, 4] from Operation: 12-8=4 Current State: 71:[30, 49, 4], Operations: ['12-8=4'] Exploring Operation: 30*4=120, Resulting Numbers: [49, 120] Generated Node #3: [49, 120] from Operation: 30*4=120 Current State: 71:[49, 120], Operations: ['12-8=4', '30*4=120'] Exploring Operation: 120-49=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 3, 3, 14, 38 ]
12
[ "3*14=42", "42-38=4", "3*4=12" ]
Current State: 12:[3, 3, 14, 38], Operations: [] Exploring Operation: 3*14=42, Resulting Numbers: [38, 42] Generated Node #2: [38, 42] from Operation: 3*14=42 Current State: 12:[38, 42], Operations: ['3*14=42'] Exploring Operation: 42-38=4, Resulting Numbers: [4] 4,12 equal: Goal Reached Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 75, 62, 88, 19 ]
38
[ "62+88=150", "150/75=2", "19*2=38" ]
Current State: 38:[75, 62, 88, 19], Operations: [] Exploring Operation: 62+88=150, Resulting Numbers: [75, 19, 150] Generated Node #2: [75, 19, 150] from Operation: 62+88=150 Current State: 38:[75, 19, 150], Operations: ['62+88=150'] Exploring Operation: 150/75=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 150/75=2 Current State: 38:[19, 2], Operations: ['62+88=150', '150/75=2'] Exploring Operation: 19*2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 97, 35, 41, 91 ]
82
[ "97+35=132", "91-41=50", "132-50=82" ]
Current State: 82:[97, 35, 41, 91], Operations: [] Exploring Operation: 97+35=132, Resulting Numbers: [41, 91, 132] Generated Node #2: [41, 91, 132] from Operation: 97+35=132 Current State: 82:[41, 91, 132], Operations: ['97+35=132'] Exploring Operation: 91-41=50, Resulting Numbers: [132, 50] Generated Node #3: [132, 50] from Operation: 91-41=50 Current State: 82:[132, 50], Operations: ['97+35=132', '91-41=50'] Exploring Operation: 132-50=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 56, 17, 26, 80 ]
33
[ "56+17=73", "26+80=106", "106-73=33" ]
Current State: 33:[56, 17, 26, 80], Operations: [] Exploring Operation: 56+17=73, Resulting Numbers: [26, 80, 73] Generated Node #2: [26, 80, 73] from Operation: 56+17=73 Current State: 33:[26, 80, 73], Operations: ['56+17=73'] Exploring Operation: 26+80=106, Resulting Numbers: [73, 106] Generated Node #3: [73, 106] from Operation: 26+80=106 Current State: 33:[73, 106], Operations: ['56+17=73', '26+80=106'] Exploring Operation: 106-73=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 89, 95, 57, 74 ]
25
[ "89-74=15", "95*15=1425", "1425/57=25" ]
Current State: 25:[89, 95, 57, 74], Operations: [] Exploring Operation: 89-74=15, Resulting Numbers: [95, 57, 15] Generated Node #2: [95, 57, 15] from Operation: 89-74=15 Current State: 25:[95, 57, 15], Operations: ['89-74=15'] Exploring Operation: 95*15=1425, Resulting Numbers: [57, 1425] Generated Node #3: [57, 1425] from Operation: 95*15=1425 Current State: 25:[57, 1425], Operations: ['89-74=15', '95*15=1425'] Exploring Operation: 1425/57=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 4, 28, 90, 50 ]
42
[ "28+90=118", "50+118=168", "168/4=42" ]
Current State: 42:[4, 28, 90, 50], Operations: [] Exploring Operation: 28+90=118, Resulting Numbers: [4, 50, 118] Generated Node #2: [4, 50, 118] from Operation: 28+90=118 Current State: 42:[4, 50, 118], Operations: ['28+90=118'] Exploring Operation: 50+118=168, Resulting Numbers: [4, 168] Generated Node #3: [4, 168] from Operation: 50+118=168 Current State: 42:[4, 168], Operations: ['28+90=118', '50+118=168'] Exploring Operation: 168/4=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 31, 78, 16, 8 ]
39
[ "78-31=47", "16-8=8", "47-8=39" ]
Current State: 39:[31, 78, 16, 8], Operations: [] Exploring Operation: 78-31=47, Resulting Numbers: [16, 8, 47] Generated Node #2: [16, 8, 47] from Operation: 78-31=47 Current State: 39:[16, 8, 47], Operations: ['78-31=47'] Exploring Operation: 16-8=8, Resulting Numbers: [47, 8] Generated Node #3: [47, 8] from Operation: 16-8=8 Current State: 39:[47, 8], Operations: ['78-31=47', '16-8=8'] Exploring Operation: 47-8=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 81, 27, 60, 3 ]
54
[ "81/27=3", "60-3=57", "57-3=54" ]
Current State: 54:[81, 27, 60, 3], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [60, 3, 3] Generated Node #2: [60, 3, 3] from Operation: 81/27=3 Current State: 54:[60, 3, 3], Operations: ['81/27=3'] Exploring Operation: 60-3=57, Resulting Numbers: [57] 57,54 equal: Goal Reached Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 26, 9, 67, 54 ]
99
[ "26+67=93", "54/9=6", "93+6=99" ]
Current State: 99:[26, 9, 67, 54], Operations: [] Exploring Operation: 26+67=93, Resulting Numbers: [9, 54, 93] Generated Node #2: [9, 54, 93] from Operation: 26+67=93 Current State: 99:[9, 54, 93], Operations: ['26+67=93'] Exploring Operation: 54/9=6, Resulting Numbers: [93, 6] Generated Node #3: [93, 6] from Operation: 54/9=6 Current State: 99:[93, 6], Operations: ['26+67=93', '54/9=6'] Exploring Operation: 93+6=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 44, 79, 68, 70 ]
74
[ "79-68=11", "44/11=4", "70+4=74" ]
Current State: 74:[44, 79, 68, 70], Operations: [] Exploring Operation: 79-68=11, Resulting Numbers: [44, 70, 11] Generated Node #2: [44, 70, 11] from Operation: 79-68=11 Current State: 74:[44, 70, 11], Operations: ['79-68=11'] Exploring Operation: 44/11=4, Resulting Numbers: [70, 4] Generated Node #3: [70, 4] from Operation: 44/11=4 Current State: 74:[70, 4], Operations: ['79-68=11', '44/11=4'] Exploring Operation: 70+4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 26, 19, 96, 94 ]
90
[ "26+19=45", "96-94=2", "45*2=90" ]
Current State: 90:[26, 19, 96, 94], Operations: [] Exploring Operation: 26+19=45, Resulting Numbers: [96, 94, 45] Generated Node #2: [96, 94, 45] from Operation: 26+19=45 Current State: 90:[96, 94, 45], Operations: ['26+19=45'] Exploring Operation: 96-94=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 96-94=2 Current State: 90:[45, 2], Operations: ['26+19=45', '96-94=2'] Exploring Operation: 45*2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 99, 77, 9, 8 ]
94
[ "99-77=22", "9*8=72", "22+72=94" ]
Current State: 94:[99, 77, 9, 8], Operations: [] Exploring Operation: 99-77=22, Resulting Numbers: [9, 8, 22] Generated Node #2: [9, 8, 22] from Operation: 99-77=22 Current State: 94:[9, 8, 22], Operations: ['99-77=22'] Exploring Operation: 9*8=72, Resulting Numbers: [22, 72] Generated Node #3: [22, 72] from Operation: 9*8=72 Current State: 94:[22, 72], Operations: ['99-77=22', '9*8=72'] Exploring Operation: 22+72=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 39, 53, 21, 48 ]
41
[ "53-39=14", "48-21=27", "14+27=41" ]
Current State: 41:[39, 53, 21, 48], Operations: [] Exploring Operation: 53-39=14, Resulting Numbers: [21, 48, 14] Generated Node #2: [21, 48, 14] from Operation: 53-39=14 Current State: 41:[21, 48, 14], Operations: ['53-39=14'] Exploring Operation: 48-21=27, Resulting Numbers: [14, 27] Generated Node #3: [14, 27] from Operation: 48-21=27 Current State: 41:[14, 27], Operations: ['53-39=14', '48-21=27'] Exploring Operation: 14+27=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 11, 17, 82, 33 ]
72
[ "11*17=187", "82+33=115", "187-115=72" ]
Current State: 72:[11, 17, 82, 33], Operations: [] Exploring Operation: 11*17=187, Resulting Numbers: [82, 33, 187] Generated Node #2: [82, 33, 187] from Operation: 11*17=187 Current State: 72:[82, 33, 187], Operations: ['11*17=187'] Exploring Operation: 82+33=115, Resulting Numbers: [187, 115] Generated Node #3: [187, 115] from Operation: 82+33=115 Current State: 72:[187, 115], Operations: ['11*17=187', '82+33=115'] Exploring Operation: 187-115=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 14, 67, 6, 18 ]
21
[ "67-18=49", "6*49=294", "294/14=21" ]
Current State: 21:[14, 67, 6, 18], Operations: [] Exploring Operation: 67-18=49, Resulting Numbers: [14, 6, 49] Generated Node #2: [14, 6, 49] from Operation: 67-18=49 Current State: 21:[14, 6, 49], Operations: ['67-18=49'] Exploring Operation: 6*49=294, Resulting Numbers: [14, 294] Generated Node #3: [14, 294] from Operation: 6*49=294 Current State: 21:[14, 294], Operations: ['67-18=49', '6*49=294'] Exploring Operation: 294/14=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 87, 5, 27, 3 ]
15
[ "87-27=60", "60/5=12", "3+12=15" ]
Current State: 15:[87, 5, 27, 3], Operations: [] Exploring Operation: 87-27=60, Resulting Numbers: [5, 3, 60] Generated Node #2: [5, 3, 60] from Operation: 87-27=60 Current State: 15:[5, 3, 60], Operations: ['87-27=60'] Exploring Operation: 60/5=12, Resulting Numbers: [3, 12] Generated Node #3: [3, 12] from Operation: 60/5=12 Current State: 15:[3, 12], Operations: ['87-27=60', '60/5=12'] Exploring Operation: 3+12=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 48, 25, 96, 6 ]
33
[ "96-48=48", "48/6=8", "25+8=33" ]
Current State: 33:[48, 25, 96, 6], Operations: [] Exploring Operation: 96-48=48, Resulting Numbers: [25, 6, 48] Generated Node #2: [25, 6, 48] from Operation: 96-48=48 Current State: 33:[25, 6, 48], Operations: ['96-48=48'] Exploring Operation: 48/6=8, Resulting Numbers: [25, 8] Generated Node #3: [25, 8] from Operation: 48/6=8 Current State: 33:[25, 8], Operations: ['96-48=48', '48/6=8'] Exploring Operation: 25+8=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 39, 87, 12, 1 ]
37
[ "87-39=48", "12-1=11", "48-11=37" ]
Current State: 37:[39, 87, 12, 1], Operations: [] Exploring Operation: 87-39=48, Resulting Numbers: [12, 1, 48] Generated Node #2: [12, 1, 48] from Operation: 87-39=48 Current State: 37:[12, 1, 48], Operations: ['87-39=48'] Exploring Operation: 12-1=11, Resulting Numbers: [48, 11] Generated Node #3: [48, 11] from Operation: 12-1=11 Current State: 37:[48, 11], Operations: ['87-39=48', '12-1=11'] Exploring Operation: 48-11=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 7, 44, 62, 5 ]
17
[ "7*5=35", "62-44=18", "35-18=17" ]
Current State: 17:[7, 44, 62, 5], Operations: [] Exploring Operation: 7*5=35, Resulting Numbers: [44, 62, 35] Generated Node #2: [44, 62, 35] from Operation: 7*5=35 Current State: 17:[44, 62, 35], Operations: ['7*5=35'] Exploring Operation: 62-44=18, Resulting Numbers: [35, 18] Generated Node #3: [35, 18] from Operation: 62-44=18 Current State: 17:[35, 18], Operations: ['7*5=35', '62-44=18'] Exploring Operation: 35-18=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 56, 60, 70, 46 ]
96
[ "60-56=4", "70-46=24", "4*24=96" ]
Current State: 96:[56, 60, 70, 46], Operations: [] Exploring Operation: 60-56=4, Resulting Numbers: [70, 46, 4] Generated Node #2: [70, 46, 4] from Operation: 60-56=4 Current State: 96:[70, 46, 4], Operations: ['60-56=4'] Exploring Operation: 70-46=24, Resulting Numbers: [4, 24] Generated Node #3: [4, 24] from Operation: 70-46=24 Current State: 96:[4, 24], Operations: ['60-56=4', '70-46=24'] Exploring Operation: 4*24=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 65, 3, 91, 90 ]
56
[ "91-65=26", "90/3=30", "26+30=56" ]
Current State: 56:[65, 3, 91, 90], Operations: [] Exploring Operation: 91-65=26, Resulting Numbers: [3, 90, 26] Generated Node #2: [3, 90, 26] from Operation: 91-65=26 Current State: 56:[3, 90, 26], Operations: ['91-65=26'] Exploring Operation: 90/3=30, Resulting Numbers: [26, 30] Generated Node #3: [26, 30] from Operation: 90/3=30 Current State: 56:[26, 30], Operations: ['91-65=26', '90/3=30'] Exploring Operation: 26+30=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 19, 2, 14, 32 ]
59
[ "19-14=5", "2*32=64", "64-5=59" ]
Current State: 59:[19, 2, 14, 32], Operations: [] Exploring Operation: 19-14=5, Resulting Numbers: [2, 32, 5] Generated Node #2: [2, 32, 5] from Operation: 19-14=5 Current State: 59:[2, 32, 5], Operations: ['19-14=5'] Exploring Operation: 2*32=64, Resulting Numbers: [5, 64] Generated Node #3: [5, 64] from Operation: 2*32=64 Current State: 59:[5, 64], Operations: ['19-14=5', '2*32=64'] Exploring Operation: 64-5=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 83, 3, 98, 7 ]
66
[ "83-3=80", "98/7=14", "80-14=66" ]
Current State: 66:[83, 3, 98, 7], Operations: [] Exploring Operation: 83-3=80, Resulting Numbers: [98, 7, 80] Generated Node #2: [98, 7, 80] from Operation: 83-3=80 Current State: 66:[98, 7, 80], Operations: ['83-3=80'] Exploring Operation: 98/7=14, Resulting Numbers: [80, 14] Generated Node #3: [80, 14] from Operation: 98/7=14 Current State: 66:[80, 14], Operations: ['83-3=80', '98/7=14'] Exploring Operation: 80-14=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 68, 42, 1, 28 ]
53
[ "68-42=26", "28-1=27", "26+27=53" ]
Current State: 53:[68, 42, 1, 28], Operations: [] Exploring Operation: 68-42=26, Resulting Numbers: [1, 28, 26] Generated Node #2: [1, 28, 26] from Operation: 68-42=26 Current State: 53:[1, 28, 26], Operations: ['68-42=26'] Exploring Operation: 28-1=27, Resulting Numbers: [26, 27] Generated Node #3: [26, 27] from Operation: 28-1=27 Current State: 53:[26, 27], Operations: ['68-42=26', '28-1=27'] Exploring Operation: 26+27=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 91, 90, 39, 6 ]
34
[ "91-90=1", "39-6=33", "1+33=34" ]
Current State: 34:[91, 90, 39, 6], Operations: [] Exploring Operation: 91-90=1, Resulting Numbers: [39, 6, 1] Generated Node #2: [39, 6, 1] from Operation: 91-90=1 Current State: 34:[39, 6, 1], Operations: ['91-90=1'] Exploring Operation: 39-6=33, Resulting Numbers: [1, 33] Generated Node #3: [1, 33] from Operation: 39-6=33 Current State: 34:[1, 33], Operations: ['91-90=1', '39-6=33'] Exploring Operation: 1+33=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 4, 37, 98, 39 ]
25
[ "98-37=61", "39+61=100", "100/4=25" ]
Current State: 25:[4, 37, 98, 39], Operations: [] Exploring Operation: 98-37=61, Resulting Numbers: [4, 39, 61] Generated Node #2: [4, 39, 61] from Operation: 98-37=61 Current State: 25:[4, 39, 61], Operations: ['98-37=61'] Exploring Operation: 39+61=100, Resulting Numbers: [4, 100] Generated Node #3: [4, 100] from Operation: 39+61=100 Current State: 25:[4, 100], Operations: ['98-37=61', '39+61=100'] Exploring Operation: 100/4=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 8, 56, 53, 88 ]
29
[ "8+56=64", "88-53=35", "64-35=29" ]
Current State: 29:[8, 56, 53, 88], Operations: [] Exploring Operation: 8+56=64, Resulting Numbers: [53, 88, 64] Generated Node #2: [53, 88, 64] from Operation: 8+56=64 Current State: 29:[53, 88, 64], Operations: ['8+56=64'] Exploring Operation: 88-53=35, Resulting Numbers: [64, 35] Generated Node #3: [64, 35] from Operation: 88-53=35 Current State: 29:[64, 35], Operations: ['8+56=64', '88-53=35'] Exploring Operation: 64-35=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 63, 83, 57, 18 ]
86
[ "63-57=6", "18/6=3", "83+3=86" ]
Current State: 86:[63, 83, 57, 18], Operations: [] Exploring Operation: 63-57=6, Resulting Numbers: [83, 18, 6] Generated Node #2: [83, 18, 6] from Operation: 63-57=6 Current State: 86:[83, 18, 6], Operations: ['63-57=6'] Exploring Operation: 18/6=3, Resulting Numbers: [83, 3] Generated Node #3: [83, 3] from Operation: 18/6=3 Current State: 86:[83, 3], Operations: ['63-57=6', '18/6=3'] Exploring Operation: 83+3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 3, 21, 91, 19 ]
29
[ "21+19=40", "3*40=120", "120-91=29" ]
Current State: 29:[3, 21, 91, 19], Operations: [] Exploring Operation: 21+19=40, Resulting Numbers: [3, 91, 40] Generated Node #2: [3, 91, 40] from Operation: 21+19=40 Current State: 29:[3, 91, 40], Operations: ['21+19=40'] Exploring Operation: 3*40=120, Resulting Numbers: [91, 120] Generated Node #3: [91, 120] from Operation: 3*40=120 Current State: 29:[91, 120], Operations: ['21+19=40', '3*40=120'] Exploring Operation: 120-91=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 31, 58, 59, 22 ]
64
[ "58-31=27", "59-22=37", "27+37=64" ]
Current State: 64:[31, 58, 59, 22], Operations: [] Exploring Operation: 58-31=27, Resulting Numbers: [59, 22, 27] Generated Node #2: [59, 22, 27] from Operation: 58-31=27 Current State: 64:[59, 22, 27], Operations: ['58-31=27'] Exploring Operation: 59-22=37, Resulting Numbers: [27, 37] Generated Node #3: [27, 37] from Operation: 59-22=37 Current State: 64:[27, 37], Operations: ['58-31=27', '59-22=37'] Exploring Operation: 27+37=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 11, 80, 30, 26 ]
95
[ "11+80=91", "30-26=4", "91+4=95" ]
Current State: 95:[11, 80, 30, 26], Operations: [] Exploring Operation: 11+80=91, Resulting Numbers: [30, 26, 91] Generated Node #2: [30, 26, 91] from Operation: 11+80=91 Current State: 95:[30, 26, 91], Operations: ['11+80=91'] Exploring Operation: 30-26=4, Resulting Numbers: [91, 4] Generated Node #3: [91, 4] from Operation: 30-26=4 Current State: 95:[91, 4], Operations: ['11+80=91', '30-26=4'] Exploring Operation: 91+4=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 5, 3, 82, 54 ]
16
[ "3*54=162", "162-82=80", "80/5=16" ]
Current State: 16:[5, 3, 82, 54], Operations: [] Exploring Operation: 3*54=162, Resulting Numbers: [5, 82, 162] Generated Node #2: [5, 82, 162] from Operation: 3*54=162 Current State: 16:[5, 82, 162], Operations: ['3*54=162'] Exploring Operation: 162-82=80, Resulting Numbers: [5, 80] Generated Node #3: [5, 80] from Operation: 162-82=80 Current State: 16:[5, 80], Operations: ['3*54=162', '162-82=80'] Exploring Operation: 80/5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 88, 81, 73, 80 ]
98
[ "81-73=8", "80/8=10", "88+10=98" ]
Current State: 98:[88, 81, 73, 80], Operations: [] Exploring Operation: 81-73=8, Resulting Numbers: [88, 80, 8] Generated Node #2: [88, 80, 8] from Operation: 81-73=8 Current State: 98:[88, 80, 8], Operations: ['81-73=8'] Exploring Operation: 80/8=10, Resulting Numbers: [88, 10] Generated Node #3: [88, 10] from Operation: 80/8=10 Current State: 98:[88, 10], Operations: ['81-73=8', '80/8=10'] Exploring Operation: 88+10=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 56, 92, 5, 44 ]
75
[ "92-56=36", "44-5=39", "36+39=75" ]
Current State: 75:[56, 92, 5, 44], Operations: [] Exploring Operation: 92-56=36, Resulting Numbers: [5, 44, 36] Generated Node #2: [5, 44, 36] from Operation: 92-56=36 Current State: 75:[5, 44, 36], Operations: ['92-56=36'] Exploring Operation: 44-5=39, Resulting Numbers: [36, 39] Generated Node #3: [36, 39] from Operation: 44-5=39 Current State: 75:[36, 39], Operations: ['92-56=36', '44-5=39'] Exploring Operation: 36+39=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 24, 96, 95, 36 ]
93
[ "96-24=72", "72/36=2", "95-2=93" ]
Current State: 93:[24, 96, 95, 36], Operations: [] Exploring Operation: 96-24=72, Resulting Numbers: [95, 36, 72] Generated Node #2: [95, 36, 72] from Operation: 96-24=72 Current State: 93:[95, 36, 72], Operations: ['96-24=72'] Exploring Operation: 72/36=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 72/36=2 Current State: 93:[95, 2], Operations: ['96-24=72', '72/36=2'] Exploring Operation: 95-2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 4, 20, 16, 32 ]
17
[ "20+16=36", "32+36=68", "68/4=17" ]
Current State: 17:[4, 20, 16, 32], Operations: [] Exploring Operation: 20+16=36, Resulting Numbers: [4, 32, 36] Generated Node #2: [4, 32, 36] from Operation: 20+16=36 Current State: 17:[4, 32, 36], Operations: ['20+16=36'] Exploring Operation: 32+36=68, Resulting Numbers: [4, 68] Generated Node #3: [4, 68] from Operation: 32+36=68 Current State: 17:[4, 68], Operations: ['20+16=36', '32+36=68'] Exploring Operation: 68/4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 83, 69, 60, 3 ]
95
[ "83+69=152", "60-3=57", "152-57=95" ]
Current State: 95:[83, 69, 60, 3], Operations: [] Exploring Operation: 83+69=152, Resulting Numbers: [60, 3, 152] Generated Node #2: [60, 3, 152] from Operation: 83+69=152 Current State: 95:[60, 3, 152], Operations: ['83+69=152'] Exploring Operation: 60-3=57, Resulting Numbers: [152, 57] Generated Node #3: [152, 57] from Operation: 60-3=57 Current State: 95:[152, 57], Operations: ['83+69=152', '60-3=57'] Exploring Operation: 152-57=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 54, 6, 32, 2 ]
89
[ "54+32=86", "6/2=3", "86+3=89" ]
Current State: 89:[54, 6, 32, 2], Operations: [] Exploring Operation: 54+32=86, Resulting Numbers: [6, 2, 86] Generated Node #2: [6, 2, 86] from Operation: 54+32=86 Current State: 89:[6, 2, 86], Operations: ['54+32=86'] Exploring Operation: 6/2=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 6/2=3 Current State: 89:[86, 3], Operations: ['54+32=86', '6/2=3'] Exploring Operation: 86+3=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 39, 3, 72, 41 ]
86
[ "39*3=117", "72-41=31", "117-31=86" ]
Current State: 86:[39, 3, 72, 41], Operations: [] Exploring Operation: 39*3=117, Resulting Numbers: [72, 41, 117] Generated Node #2: [72, 41, 117] from Operation: 39*3=117 Current State: 86:[72, 41, 117], Operations: ['39*3=117'] Exploring Operation: 72-41=31, Resulting Numbers: [117, 31] Generated Node #3: [117, 31] from Operation: 72-41=31 Current State: 86:[117, 31], Operations: ['39*3=117', '72-41=31'] Exploring Operation: 117-31=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 30, 93, 77, 5 ]
19
[ "93-30=63", "77+5=82", "82-63=19" ]
Current State: 19:[30, 93, 77, 5], Operations: [] Exploring Operation: 93-30=63, Resulting Numbers: [77, 5, 63] Generated Node #2: [77, 5, 63] from Operation: 93-30=63 Current State: 19:[77, 5, 63], Operations: ['93-30=63'] Exploring Operation: 77+5=82, Resulting Numbers: [63, 82] Generated Node #3: [63, 82] from Operation: 77+5=82 Current State: 19:[63, 82], Operations: ['93-30=63', '77+5=82'] Exploring Operation: 82-63=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 12, 18, 39, 68 ]
42
[ "12*39=468", "468/18=26", "68-26=42" ]
Current State: 42:[12, 18, 39, 68], Operations: [] Exploring Operation: 12*39=468, Resulting Numbers: [18, 68, 468] Generated Node #2: [18, 68, 468] from Operation: 12*39=468 Current State: 42:[18, 68, 468], Operations: ['12*39=468'] Exploring Operation: 468/18=26, Resulting Numbers: [68, 26] Generated Node #3: [68, 26] from Operation: 468/18=26 Current State: 42:[68, 26], Operations: ['12*39=468', '468/18=26'] Exploring Operation: 68-26=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 44, 23, 43, 51 ]
28
[ "44-43=1", "51-23=28", "1*28=28" ]
Current State: 28:[44, 23, 43, 51], Operations: [] Exploring Operation: 44-43=1, Resulting Numbers: [23, 51, 1] Generated Node #2: [23, 51, 1] from Operation: 44-43=1 Current State: 28:[23, 51, 1], Operations: ['44-43=1'] Exploring Operation: 51-23=28, Resulting Numbers: [1, 28] Generated Node #3: [1, 28] from Operation: 51-23=28 Current State: 28:[1, 28], Operations: ['44-43=1', '51-23=28'] Exploring Operation: 1*28=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 11, 33, 11, 47 ]
55
[ "33/11=3", "11+47=58", "58-3=55" ]
Current State: 55:[11, 33, 11, 47], Operations: [] Exploring Operation: 33/11=3, Resulting Numbers: [47, 3] Generated Node #2: [47, 3] from Operation: 33/11=3 Current State: 55:[47, 3], Operations: ['33/11=3'] Exploring Operation: 11+47=58, Resulting Numbers: [3, 58] Generated Node #3: [3, 58] from Operation: 11+47=58 Current State: 55:[3, 58], Operations: ['33/11=3', '11+47=58'] Exploring Operation: 58-3=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 11, 99, 38, 97 ]
15
[ "99/11=9", "38+97=135", "135/9=15" ]
Current State: 15:[11, 99, 38, 97], Operations: [] Exploring Operation: 99/11=9, Resulting Numbers: [38, 97, 9] Generated Node #2: [38, 97, 9] from Operation: 99/11=9 Current State: 15:[38, 97, 9], Operations: ['99/11=9'] Exploring Operation: 38+97=135, Resulting Numbers: [9, 135] Generated Node #3: [9, 135] from Operation: 38+97=135 Current State: 15:[9, 135], Operations: ['99/11=9', '38+97=135'] Exploring Operation: 135/9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 63, 71, 87, 66 ]
73
[ "71*66=4686", "4686-87=4599", "4599/63=73" ]
Current State: 73:[63, 71, 87, 66], Operations: [] Exploring Operation: 71*66=4686, Resulting Numbers: [63, 87, 4686] Generated Node #2: [63, 87, 4686] from Operation: 71*66=4686 Current State: 73:[63, 87, 4686], Operations: ['71*66=4686'] Exploring Operation: 4686-87=4599, Resulting Numbers: [63, 4599] Generated Node #3: [63, 4599] from Operation: 4686-87=4599 Current State: 73:[63, 4599], Operations: ['71*66=4686', '4686-87=4599'] Exploring Operation: 4599/63=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 2, 6, 63, 94 ]
34
[ "6/2=3", "94-63=31", "3+31=34" ]
Current State: 34:[2, 6, 63, 94], Operations: [] Exploring Operation: 6/2=3, Resulting Numbers: [63, 94, 3] Generated Node #2: [63, 94, 3] from Operation: 6/2=3 Current State: 34:[63, 94, 3], Operations: ['6/2=3'] Exploring Operation: 94-63=31, Resulting Numbers: [3, 31] Generated Node #3: [3, 31] from Operation: 94-63=31 Current State: 34:[3, 31], Operations: ['6/2=3', '94-63=31'] Exploring Operation: 3+31=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 55, 92, 36, 12 ]
40
[ "92-55=37", "36/12=3", "37+3=40" ]
Current State: 40:[55, 92, 36, 12], Operations: [] Exploring Operation: 92-55=37, Resulting Numbers: [36, 12, 37] Generated Node #2: [36, 12, 37] from Operation: 92-55=37 Current State: 40:[36, 12, 37], Operations: ['92-55=37'] Exploring Operation: 36/12=3, Resulting Numbers: [37, 3] Generated Node #3: [37, 3] from Operation: 36/12=3 Current State: 40:[37, 3], Operations: ['92-55=37', '36/12=3'] Exploring Operation: 37+3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 50, 48, 14, 32 ]
31
[ "48*32=1536", "14+1536=1550", "1550/50=31" ]
Current State: 31:[50, 48, 14, 32], Operations: [] Exploring Operation: 48*32=1536, Resulting Numbers: [50, 14, 1536] Generated Node #2: [50, 14, 1536] from Operation: 48*32=1536 Current State: 31:[50, 14, 1536], Operations: ['48*32=1536'] Exploring Operation: 14+1536=1550, Resulting Numbers: [50, 1550] Generated Node #3: [50, 1550] from Operation: 14+1536=1550 Current State: 31:[50, 1550], Operations: ['48*32=1536', '14+1536=1550'] Exploring Operation: 1550/50=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 73, 3, 4, 9 ]
10
[ "73+3=76", "76/4=19", "19-9=10" ]
Current State: 10:[73, 3, 4, 9], Operations: [] Exploring Operation: 73+3=76, Resulting Numbers: [4, 9, 76] Generated Node #2: [4, 9, 76] from Operation: 73+3=76 Current State: 10:[4, 9, 76], Operations: ['73+3=76'] Exploring Operation: 76/4=19, Resulting Numbers: [9, 19] Generated Node #3: [9, 19] from Operation: 76/4=19 Current State: 10:[9, 19], Operations: ['73+3=76', '76/4=19'] Exploring Operation: 19-9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 31, 27, 88, 62 ]
30
[ "31-27=4", "88-62=26", "4+26=30" ]
Current State: 30:[31, 27, 88, 62], Operations: [] Exploring Operation: 31-27=4, Resulting Numbers: [88, 62, 4] Generated Node #2: [88, 62, 4] from Operation: 31-27=4 Current State: 30:[88, 62, 4], Operations: ['31-27=4'] Exploring Operation: 88-62=26, Resulting Numbers: [4, 26] Generated Node #3: [4, 26] from Operation: 88-62=26 Current State: 30:[4, 26], Operations: ['31-27=4', '88-62=26'] Exploring Operation: 4+26=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 26, 55, 72, 84 ]
75
[ "26+55=81", "72+84=156", "156-81=75" ]
Current State: 75:[26, 55, 72, 84], Operations: [] Exploring Operation: 26+55=81, Resulting Numbers: [72, 84, 81] Generated Node #2: [72, 84, 81] from Operation: 26+55=81 Current State: 75:[72, 84, 81], Operations: ['26+55=81'] Exploring Operation: 72+84=156, Resulting Numbers: [81, 156] Generated Node #3: [81, 156] from Operation: 72+84=156 Current State: 75:[81, 156], Operations: ['26+55=81', '72+84=156'] Exploring Operation: 156-81=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 14, 24, 69, 3 ]
13
[ "24-14=10", "69/3=23", "23-10=13" ]
Current State: 13:[14, 24, 69, 3], Operations: [] Exploring Operation: 24-14=10, Resulting Numbers: [69, 3, 10] Generated Node #2: [69, 3, 10] from Operation: 24-14=10 Current State: 13:[69, 3, 10], Operations: ['24-14=10'] Exploring Operation: 69/3=23, Resulting Numbers: [10, 23] Generated Node #3: [10, 23] from Operation: 69/3=23 Current State: 13:[10, 23], Operations: ['24-14=10', '69/3=23'] Exploring Operation: 23-10=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 35, 18, 17, 85 ]
22
[ "35-18=17", "85/17=5", "17+5=22" ]
Current State: 22:[35, 18, 17, 85], Operations: [] Exploring Operation: 35-18=17, Resulting Numbers: [17, 85, 17] Generated Node #2: [17, 85, 17] from Operation: 35-18=17 Current State: 22:[17, 85, 17], Operations: ['35-18=17'] Exploring Operation: 85/17=5, Resulting Numbers: [5] 5,22 equal: Goal Reached Exploring Operation: 17+5=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 3, 30, 21, 90 ]
20
[ "3*30=90", "90/90=1", "21-1=20" ]
Current State: 20:[3, 30, 21, 90], Operations: [] Exploring Operation: 3*30=90, Resulting Numbers: [21, 90, 90] Generated Node #2: [21, 90, 90] from Operation: 3*30=90 Current State: 20:[21, 90, 90], Operations: ['3*30=90'] Exploring Operation: 90/90=1, Resulting Numbers: [21, 1] Generated Node #3: [21, 1] from Operation: 90/90=1 Current State: 20:[21, 1], Operations: ['3*30=90', '90/90=1'] Exploring Operation: 21-1=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 51, 23, 2, 2 ]
74
[ "51+23=74", "2-2=0", "74+0=74" ]
Current State: 74:[51, 23, 2, 2], Operations: [] Exploring Operation: 51+23=74, Resulting Numbers: [2, 2, 74] Generated Node #2: [2, 2, 74] from Operation: 51+23=74 Current State: 74:[2, 2, 74], Operations: ['51+23=74'] Exploring Operation: 2-2=0, Resulting Numbers: [74, 0] Generated Node #3: [74, 0] from Operation: 2-2=0 Current State: 74:[74, 0], Operations: ['51+23=74', '2-2=0'] Exploring Operation: 74+0=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 35, 23, 52, 40 ]
80
[ "35-23=12", "52+40=92", "92-12=80" ]
Current State: 80:[35, 23, 52, 40], Operations: [] Exploring Operation: 35-23=12, Resulting Numbers: [52, 40, 12] Generated Node #2: [52, 40, 12] from Operation: 35-23=12 Current State: 80:[52, 40, 12], Operations: ['35-23=12'] Exploring Operation: 52+40=92, Resulting Numbers: [12, 92] Generated Node #3: [12, 92] from Operation: 52+40=92 Current State: 80:[12, 92], Operations: ['35-23=12', '52+40=92'] Exploring Operation: 92-12=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 58, 89, 91, 46 ]
35
[ "91-89=2", "46/2=23", "58-23=35" ]
Current State: 35:[58, 89, 91, 46], Operations: [] Exploring Operation: 91-89=2, Resulting Numbers: [58, 46, 2] Generated Node #2: [58, 46, 2] from Operation: 91-89=2 Current State: 35:[58, 46, 2], Operations: ['91-89=2'] Exploring Operation: 46/2=23, Resulting Numbers: [58, 23] Generated Node #3: [58, 23] from Operation: 46/2=23 Current State: 35:[58, 23], Operations: ['91-89=2', '46/2=23'] Exploring Operation: 58-23=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 54, 51, 38, 3 ]
47
[ "54-51=3", "3*3=9", "38+9=47" ]
Current State: 47:[54, 51, 38, 3], Operations: [] Exploring Operation: 54-51=3, Resulting Numbers: [38, 3, 3] Generated Node #2: [38, 3, 3] from Operation: 54-51=3 Current State: 47:[38, 3, 3], Operations: ['54-51=3'] Exploring Operation: 3*3=9, Resulting Numbers: [38, 9] Generated Node #3: [38, 9] from Operation: 3*3=9 Current State: 47:[38, 9], Operations: ['54-51=3', '3*3=9'] Exploring Operation: 38+9=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 27, 95, 99, 90 ]
92
[ "99-90=9", "27/9=3", "95-3=92" ]
Current State: 92:[27, 95, 99, 90], Operations: [] Exploring Operation: 99-90=9, Resulting Numbers: [27, 95, 9] Generated Node #2: [27, 95, 9] from Operation: 99-90=9 Current State: 92:[27, 95, 9], Operations: ['99-90=9'] Exploring Operation: 27/9=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 27/9=3 Current State: 92:[95, 3], Operations: ['99-90=9', '27/9=3'] Exploring Operation: 95-3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 45, 70, 28, 3 ]
37
[ "45*3=135", "70+28=98", "135-98=37" ]
Current State: 37:[45, 70, 28, 3], Operations: [] Exploring Operation: 45*3=135, Resulting Numbers: [70, 28, 135] Generated Node #2: [70, 28, 135] from Operation: 45*3=135 Current State: 37:[70, 28, 135], Operations: ['45*3=135'] Exploring Operation: 70+28=98, Resulting Numbers: [135, 98] Generated Node #3: [135, 98] from Operation: 70+28=98 Current State: 37:[135, 98], Operations: ['45*3=135', '70+28=98'] Exploring Operation: 135-98=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 91, 76, 39, 40 ]
14
[ "91-76=15", "40-39=1", "15-1=14" ]
Current State: 14:[91, 76, 39, 40], Operations: [] Exploring Operation: 91-76=15, Resulting Numbers: [39, 40, 15] Generated Node #2: [39, 40, 15] from Operation: 91-76=15 Current State: 14:[39, 40, 15], Operations: ['91-76=15'] Exploring Operation: 40-39=1, Resulting Numbers: [15, 1] Generated Node #3: [15, 1] from Operation: 40-39=1 Current State: 14:[15, 1], Operations: ['91-76=15', '40-39=1'] Exploring Operation: 15-1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 2, 72, 5, 5 ]
11
[ "72/2=36", "5*5=25", "36-25=11" ]
Current State: 11:[2, 72, 5, 5], Operations: [] Exploring Operation: 72/2=36, Resulting Numbers: [5, 5, 36] Generated Node #2: [5, 5, 36] from Operation: 72/2=36 Current State: 11:[5, 5, 36], Operations: ['72/2=36'] Exploring Operation: 5*5=25, Resulting Numbers: [36, 25] Generated Node #3: [36, 25] from Operation: 5*5=25 Current State: 11:[36, 25], Operations: ['72/2=36', '5*5=25'] Exploring Operation: 36-25=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 13, 65, 13, 82 ]
43
[ "65-13=52", "13+82=95", "95-52=43" ]
Current State: 43:[13, 65, 13, 82], Operations: [] Exploring Operation: 65-13=52, Resulting Numbers: [82, 52] Generated Node #2: [82, 52] from Operation: 65-13=52 Current State: 43:[82, 52], Operations: ['65-13=52'] Exploring Operation: 13+82=95, Resulting Numbers: [52, 95] Generated Node #3: [52, 95] from Operation: 13+82=95 Current State: 43:[52, 95], Operations: ['65-13=52', '13+82=95'] Exploring Operation: 95-52=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 34, 44, 68, 68 ]
40
[ "68+68=136", "136/34=4", "44-4=40" ]
Current State: 40:[34, 44, 68, 68], Operations: [] Exploring Operation: 68+68=136, Resulting Numbers: [34, 44, 136] Generated Node #2: [34, 44, 136] from Operation: 68+68=136 Current State: 40:[34, 44, 136], Operations: ['68+68=136'] Exploring Operation: 136/34=4, Resulting Numbers: [44, 4] Generated Node #3: [44, 4] from Operation: 136/34=4 Current State: 40:[44, 4], Operations: ['68+68=136', '136/34=4'] Exploring Operation: 44-4=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 79, 81, 53, 96 ]
10
[ "81-79=2", "53*2=106", "106-96=10" ]
Current State: 10:[79, 81, 53, 96], Operations: [] Exploring Operation: 81-79=2, Resulting Numbers: [53, 96, 2] Generated Node #2: [53, 96, 2] from Operation: 81-79=2 Current State: 10:[53, 96, 2], Operations: ['81-79=2'] Exploring Operation: 53*2=106, Resulting Numbers: [96, 106] Generated Node #3: [96, 106] from Operation: 53*2=106 Current State: 10:[96, 106], Operations: ['81-79=2', '53*2=106'] Exploring Operation: 106-96=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 12, 61, 79, 84 ]
14
[ "12+61=73", "79-73=6", "84/6=14" ]
Current State: 14:[12, 61, 79, 84], Operations: [] Exploring Operation: 12+61=73, Resulting Numbers: [79, 84, 73] Generated Node #2: [79, 84, 73] from Operation: 12+61=73 Current State: 14:[79, 84, 73], Operations: ['12+61=73'] Exploring Operation: 79-73=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 79-73=6 Current State: 14:[84, 6], Operations: ['12+61=73', '79-73=6'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 22, 3, 12, 21 ]
19
[ "21-12=9", "9/3=3", "22-3=19" ]
Current State: 19:[22, 3, 12, 21], Operations: [] Exploring Operation: 21-12=9, Resulting Numbers: [22, 3, 9] Generated Node #2: [22, 3, 9] from Operation: 21-12=9 Current State: 19:[22, 3, 9], Operations: ['21-12=9'] Exploring Operation: 9/3=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 9/3=3 Current State: 19:[22, 3], Operations: ['21-12=9', '9/3=3'] Exploring Operation: 22-3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 16, 72, 90, 2 ]
40
[ "16*90=1440", "72/2=36", "1440/36=40" ]
Current State: 40:[16, 72, 90, 2], Operations: [] Exploring Operation: 16*90=1440, Resulting Numbers: [72, 2, 1440] Generated Node #2: [72, 2, 1440] from Operation: 16*90=1440 Current State: 40:[72, 2, 1440], Operations: ['16*90=1440'] Exploring Operation: 72/2=36, Resulting Numbers: [1440, 36] Generated Node #3: [1440, 36] from Operation: 72/2=36 Current State: 40:[1440, 36], Operations: ['16*90=1440', '72/2=36'] Exploring Operation: 1440/36=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 32, 55, 74, 18 ]
32
[ "74-55=19", "19-18=1", "32*1=32" ]
Current State: 32:[32, 55, 74, 18], Operations: [] Exploring Operation: 74-55=19, Resulting Numbers: [32, 18, 19] Generated Node #2: [32, 18, 19] from Operation: 74-55=19 Current State: 32:[32, 18, 19], Operations: ['74-55=19'] Exploring Operation: 19-18=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 19-18=1 Current State: 32:[32, 1], Operations: ['74-55=19', '19-18=1'] Exploring Operation: 32*1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 61, 67, 45, 75 ]
10
[ "67-61=6", "75*6=450", "450/45=10" ]
Current State: 10:[61, 67, 45, 75], Operations: [] Exploring Operation: 67-61=6, Resulting Numbers: [45, 75, 6] Generated Node #2: [45, 75, 6] from Operation: 67-61=6 Current State: 10:[45, 75, 6], Operations: ['67-61=6'] Exploring Operation: 75*6=450, Resulting Numbers: [45, 450] Generated Node #3: [45, 450] from Operation: 75*6=450 Current State: 10:[45, 450], Operations: ['67-61=6', '75*6=450'] Exploring Operation: 450/45=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 70, 51, 76, 12 ]
49
[ "76-70=6", "12/6=2", "51-2=49" ]
Current State: 49:[70, 51, 76, 12], Operations: [] Exploring Operation: 76-70=6, Resulting Numbers: [51, 12, 6] Generated Node #2: [51, 12, 6] from Operation: 76-70=6 Current State: 49:[51, 12, 6], Operations: ['76-70=6'] Exploring Operation: 12/6=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 12/6=2 Current State: 49:[51, 2], Operations: ['76-70=6', '12/6=2'] Exploring Operation: 51-2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 55, 5, 32, 2 ]
53
[ "55/5=11", "32*2=64", "64-11=53" ]
Current State: 53:[55, 5, 32, 2], Operations: [] Exploring Operation: 55/5=11, Resulting Numbers: [32, 2, 11] Generated Node #2: [32, 2, 11] from Operation: 55/5=11 Current State: 53:[32, 2, 11], Operations: ['55/5=11'] Exploring Operation: 32*2=64, Resulting Numbers: [11, 64] Generated Node #3: [11, 64] from Operation: 32*2=64 Current State: 53:[11, 64], Operations: ['55/5=11', '32*2=64'] Exploring Operation: 64-11=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 80, 47, 51, 22 ]
45
[ "80+22=102", "102/51=2", "47-2=45" ]
Current State: 45:[80, 47, 51, 22], Operations: [] Exploring Operation: 80+22=102, Resulting Numbers: [47, 51, 102] Generated Node #2: [47, 51, 102] from Operation: 80+22=102 Current State: 45:[47, 51, 102], Operations: ['80+22=102'] Exploring Operation: 102/51=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 102/51=2 Current State: 45:[47, 2], Operations: ['80+22=102', '102/51=2'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 79, 23, 3, 52 ]
81
[ "23+3=26", "52/26=2", "79+2=81" ]
Current State: 81:[79, 23, 3, 52], Operations: [] Exploring Operation: 23+3=26, Resulting Numbers: [79, 52, 26] Generated Node #2: [79, 52, 26] from Operation: 23+3=26 Current State: 81:[79, 52, 26], Operations: ['23+3=26'] Exploring Operation: 52/26=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 52/26=2 Current State: 81:[79, 2], Operations: ['23+3=26', '52/26=2'] Exploring Operation: 79+2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 14, 26, 99, 2 ]
98
[ "99-14=85", "26/2=13", "85+13=98" ]
Current State: 98:[14, 26, 99, 2], Operations: [] Exploring Operation: 99-14=85, Resulting Numbers: [26, 2, 85] Generated Node #2: [26, 2, 85] from Operation: 99-14=85 Current State: 98:[26, 2, 85], Operations: ['99-14=85'] Exploring Operation: 26/2=13, Resulting Numbers: [85, 13] Generated Node #3: [85, 13] from Operation: 26/2=13 Current State: 98:[85, 13], Operations: ['99-14=85', '26/2=13'] Exploring Operation: 85+13=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 38, 55, 35, 44 ]
77
[ "38-35=3", "44*3=132", "132-55=77" ]
Current State: 77:[38, 55, 35, 44], Operations: [] Exploring Operation: 38-35=3, Resulting Numbers: [55, 44, 3] Generated Node #2: [55, 44, 3] from Operation: 38-35=3 Current State: 77:[55, 44, 3], Operations: ['38-35=3'] Exploring Operation: 44*3=132, Resulting Numbers: [55, 132] Generated Node #3: [55, 132] from Operation: 44*3=132 Current State: 77:[55, 132], Operations: ['38-35=3', '44*3=132'] Exploring Operation: 132-55=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 29, 26, 94, 31 ]
60
[ "29-26=3", "94-31=63", "63-3=60" ]
Current State: 60:[29, 26, 94, 31], Operations: [] Exploring Operation: 29-26=3, Resulting Numbers: [94, 31, 3] Generated Node #2: [94, 31, 3] from Operation: 29-26=3 Current State: 60:[94, 31, 3], Operations: ['29-26=3'] Exploring Operation: 94-31=63, Resulting Numbers: [3, 63] Generated Node #3: [3, 63] from Operation: 94-31=63 Current State: 60:[3, 63], Operations: ['29-26=3', '94-31=63'] Exploring Operation: 63-3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 15, 35, 70, 20 ]
27
[ "35+70=105", "105/15=7", "20+7=27" ]
Current State: 27:[15, 35, 70, 20], Operations: [] Exploring Operation: 35+70=105, Resulting Numbers: [15, 20, 105] Generated Node #2: [15, 20, 105] from Operation: 35+70=105 Current State: 27:[15, 20, 105], Operations: ['35+70=105'] Exploring Operation: 105/15=7, Resulting Numbers: [20, 7] Generated Node #3: [20, 7] from Operation: 105/15=7 Current State: 27:[20, 7], Operations: ['35+70=105', '105/15=7'] Exploring Operation: 20+7=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 83, 17, 9, 23 ]
21
[ "83+9=92", "92/23=4", "17+4=21" ]
Current State: 21:[83, 17, 9, 23], Operations: [] Exploring Operation: 83+9=92, Resulting Numbers: [17, 23, 92] Generated Node #2: [17, 23, 92] from Operation: 83+9=92 Current State: 21:[17, 23, 92], Operations: ['83+9=92'] Exploring Operation: 92/23=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 92/23=4 Current State: 21:[17, 4], Operations: ['83+9=92', '92/23=4'] Exploring Operation: 17+4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 20, 5, 9, 37 ]
50
[ "20/5=4", "9+37=46", "4+46=50" ]
Current State: 50:[20, 5, 9, 37], Operations: [] Exploring Operation: 20/5=4, Resulting Numbers: [9, 37, 4] Generated Node #2: [9, 37, 4] from Operation: 20/5=4 Current State: 50:[9, 37, 4], Operations: ['20/5=4'] Exploring Operation: 9+37=46, Resulting Numbers: [4, 46] Generated Node #3: [4, 46] from Operation: 9+37=46 Current State: 50:[4, 46], Operations: ['20/5=4', '9+37=46'] Exploring Operation: 4+46=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 25, 2, 17, 79 ]
58
[ "25+17=42", "42/2=21", "79-21=58" ]
Current State: 58:[25, 2, 17, 79], Operations: [] Exploring Operation: 25+17=42, Resulting Numbers: [2, 79, 42] Generated Node #2: [2, 79, 42] from Operation: 25+17=42 Current State: 58:[2, 79, 42], Operations: ['25+17=42'] Exploring Operation: 42/2=21, Resulting Numbers: [79, 21] Generated Node #3: [79, 21] from Operation: 42/2=21 Current State: 58:[79, 21], Operations: ['25+17=42', '42/2=21'] Exploring Operation: 79-21=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 50, 50, 28, 51 ]
28
[ "50-50=0", "51*0=0", "28+0=28" ]
Current State: 28:[50, 50, 28, 51], Operations: [] Exploring Operation: 50-50=0, Resulting Numbers: [28, 51, 0] Generated Node #2: [28, 51, 0] from Operation: 50-50=0 Current State: 28:[28, 51, 0], Operations: ['50-50=0'] Exploring Operation: 51*0=0, Resulting Numbers: [28, 0] Generated Node #3: [28, 0] from Operation: 51*0=0 Current State: 28:[28, 0], Operations: ['50-50=0', '51*0=0'] Exploring Operation: 28+0=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 84, 2, 40, 5 ]
74
[ "84-2=82", "40/5=8", "82-8=74" ]
Current State: 74:[84, 2, 40, 5], Operations: [] Exploring Operation: 84-2=82, Resulting Numbers: [40, 5, 82] Generated Node #2: [40, 5, 82] from Operation: 84-2=82 Current State: 74:[40, 5, 82], Operations: ['84-2=82'] Exploring Operation: 40/5=8, Resulting Numbers: [82, 8] Generated Node #3: [82, 8] from Operation: 40/5=8 Current State: 74:[82, 8], Operations: ['84-2=82', '40/5=8'] Exploring Operation: 82-8=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 34, 38, 60, 4 ]
54
[ "60-38=22", "4*22=88", "88-34=54" ]
Current State: 54:[34, 38, 60, 4], Operations: [] Exploring Operation: 60-38=22, Resulting Numbers: [34, 4, 22] Generated Node #2: [34, 4, 22] from Operation: 60-38=22 Current State: 54:[34, 4, 22], Operations: ['60-38=22'] Exploring Operation: 4*22=88, Resulting Numbers: [34, 88] Generated Node #3: [34, 88] from Operation: 4*22=88 Current State: 54:[34, 88], Operations: ['60-38=22', '4*22=88'] Exploring Operation: 88-34=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 48, 39, 29, 88 ]
13
[ "48-39=9", "29+88=117", "117/9=13" ]
Current State: 13:[48, 39, 29, 88], Operations: [] Exploring Operation: 48-39=9, Resulting Numbers: [29, 88, 9] Generated Node #2: [29, 88, 9] from Operation: 48-39=9 Current State: 13:[29, 88, 9], Operations: ['48-39=9'] Exploring Operation: 29+88=117, Resulting Numbers: [9, 117] Generated Node #3: [9, 117] from Operation: 29+88=117 Current State: 13:[9, 117], Operations: ['48-39=9', '29+88=117'] Exploring Operation: 117/9=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 8, 82, 87, 51 ]
11
[ "87-82=5", "8*5=40", "51-40=11" ]
Current State: 11:[8, 82, 87, 51], Operations: [] Exploring Operation: 87-82=5, Resulting Numbers: [8, 51, 5] Generated Node #2: [8, 51, 5] from Operation: 87-82=5 Current State: 11:[8, 51, 5], Operations: ['87-82=5'] Exploring Operation: 8*5=40, Resulting Numbers: [51, 40] Generated Node #3: [51, 40] from Operation: 8*5=40 Current State: 11:[51, 40], Operations: ['87-82=5', '8*5=40'] Exploring Operation: 51-40=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4