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
[ 8, 79, 96, 95 ]
28
[ "96/8=12", "95-79=16", "12+16=28" ]
Current State: 28:[8, 79, 96, 95], Operations: [] Exploring Operation: 96/8=12, Resulting Numbers: [79, 95, 12] Generated Node #2: [79, 95, 12] from Operation: 96/8=12 Current State: 28:[79, 95, 12], Operations: ['96/8=12'] Exploring Operation: 95-79=16, Resulting Numbers: [12, 16] Generated Node #3: [12, 16] from Operation: 95-79=16 Current State: 28:[12, 16], Operations: ['96/8=12', '95-79=16'] Exploring Operation: 12+16=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 3, 28, 13, 85 ]
52
[ "85-13=72", "72/3=24", "28+24=52" ]
Current State: 52:[3, 28, 13, 85], Operations: [] Exploring Operation: 85-13=72, Resulting Numbers: [3, 28, 72] Generated Node #2: [3, 28, 72] from Operation: 85-13=72 Current State: 52:[3, 28, 72], Operations: ['85-13=72'] Exploring Operation: 72/3=24, Resulting Numbers: [28, 24] Generated Node #3: [28, 24] from Operation: 72/3=24 Current State: 52:[28, 24], Operations: ['85-13=72', '72/3=24'] Exploring Operation: 28+24=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 82, 96, 56, 76 ]
19
[ "96-82=14", "56/14=4", "76/4=19" ]
Current State: 19:[82, 96, 56, 76], Operations: [] Exploring Operation: 96-82=14, Resulting Numbers: [56, 76, 14] Generated Node #2: [56, 76, 14] from Operation: 96-82=14 Current State: 19:[56, 76, 14], Operations: ['96-82=14'] Exploring Operation: 56/14=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 56/14=4 Current State: 19:[76, 4], Operations: ['96-82=14', '56/14=4'] Exploring Operation: 76/4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 3, 51, 18, 76 ]
95
[ "3*51=153", "76-18=58", "153-58=95" ]
Current State: 95:[3, 51, 18, 76], Operations: [] Exploring Operation: 3*51=153, Resulting Numbers: [18, 76, 153] Generated Node #2: [18, 76, 153] from Operation: 3*51=153 Current State: 95:[18, 76, 153], Operations: ['3*51=153'] Exploring Operation: 76-18=58, Resulting Numbers: [153, 58] Generated Node #3: [153, 58] from Operation: 76-18=58 Current State: 95:[153, 58], Operations: ['3*51=153', '76-18=58'] Exploring Operation: 153-58=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 86, 3, 50, 90 ]
43
[ "86-3=83", "90-50=40", "83-40=43" ]
Current State: 43:[86, 3, 50, 90], Operations: [] Exploring Operation: 86-3=83, Resulting Numbers: [50, 90, 83] Generated Node #2: [50, 90, 83] from Operation: 86-3=83 Current State: 43:[50, 90, 83], Operations: ['86-3=83'] Exploring Operation: 90-50=40, Resulting Numbers: [83, 40] Generated Node #3: [83, 40] from Operation: 90-50=40 Current State: 43:[83, 40], Operations: ['86-3=83', '90-50=40'] Exploring Operation: 83-40=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 93, 33, 95, 72 ]
69
[ "95-93=2", "72/2=36", "33+36=69" ]
Current State: 69:[93, 33, 95, 72], Operations: [] Exploring Operation: 95-93=2, Resulting Numbers: [33, 72, 2] Generated Node #2: [33, 72, 2] from Operation: 95-93=2 Current State: 69:[33, 72, 2], Operations: ['95-93=2'] Exploring Operation: 72/2=36, Resulting Numbers: [33, 36] Generated Node #3: [33, 36] from Operation: 72/2=36 Current State: 69:[33, 36], Operations: ['95-93=2', '72/2=36'] Exploring Operation: 33+36=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 11, 11, 31, 65 ]
12
[ "11+11=22", "65-31=34", "34-22=12" ]
Current State: 12:[11, 11, 31, 65], Operations: [] Exploring Operation: 11+11=22, Resulting Numbers: [31, 65, 22] Generated Node #2: [31, 65, 22] from Operation: 11+11=22 Current State: 12:[31, 65, 22], Operations: ['11+11=22'] Exploring Operation: 65-31=34, Resulting Numbers: [22, 34] Generated Node #3: [22, 34] from Operation: 65-31=34 Current State: 12:[22, 34], Operations: ['11+11=22', '65-31=34'] Exploring Operation: 34-22=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 8, 78, 84, 32 ]
99
[ "8*84=672", "672/32=21", "78+21=99" ]
Current State: 99:[8, 78, 84, 32], Operations: [] Exploring Operation: 8*84=672, Resulting Numbers: [78, 32, 672] Generated Node #2: [78, 32, 672] from Operation: 8*84=672 Current State: 99:[78, 32, 672], Operations: ['8*84=672'] Exploring Operation: 672/32=21, Resulting Numbers: [78, 21] Generated Node #3: [78, 21] from Operation: 672/32=21 Current State: 99:[78, 21], Operations: ['8*84=672', '672/32=21'] Exploring Operation: 78+21=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 4, 57, 3, 34 ]
76
[ "4*34=136", "57+3=60", "136-60=76" ]
Current State: 76:[4, 57, 3, 34], Operations: [] Exploring Operation: 4*34=136, Resulting Numbers: [57, 3, 136] Generated Node #2: [57, 3, 136] from Operation: 4*34=136 Current State: 76:[57, 3, 136], Operations: ['4*34=136'] Exploring Operation: 57+3=60, Resulting Numbers: [136, 60] Generated Node #3: [136, 60] from Operation: 57+3=60 Current State: 76:[136, 60], Operations: ['4*34=136', '57+3=60'] Exploring Operation: 136-60=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 59, 2, 57, 61 ]
51
[ "61-57=4", "2*4=8", "59-8=51" ]
Current State: 51:[59, 2, 57, 61], Operations: [] Exploring Operation: 61-57=4, Resulting Numbers: [59, 2, 4] Generated Node #2: [59, 2, 4] from Operation: 61-57=4 Current State: 51:[59, 2, 4], Operations: ['61-57=4'] Exploring Operation: 2*4=8, Resulting Numbers: [59, 8] Generated Node #3: [59, 8] from Operation: 2*4=8 Current State: 51:[59, 8], Operations: ['61-57=4', '2*4=8'] Exploring Operation: 59-8=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 38, 65, 46, 76 ]
88
[ "38*46=1748", "1748/76=23", "65+23=88" ]
Current State: 88:[38, 65, 46, 76], Operations: [] Exploring Operation: 38*46=1748, Resulting Numbers: [65, 76, 1748] Generated Node #2: [65, 76, 1748] from Operation: 38*46=1748 Current State: 88:[65, 76, 1748], Operations: ['38*46=1748'] Exploring Operation: 1748/76=23, Resulting Numbers: [65, 23] Generated Node #3: [65, 23] from Operation: 1748/76=23 Current State: 88:[65, 23], Operations: ['38*46=1748', '1748/76=23'] Exploring Operation: 65+23=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 64, 31, 17, 96 ]
32
[ "64*17=1088", "1088-96=992", "992/31=32" ]
Current State: 32:[64, 31, 17, 96], Operations: [] Exploring Operation: 64*17=1088, Resulting Numbers: [31, 96, 1088] Generated Node #2: [31, 96, 1088] from Operation: 64*17=1088 Current State: 32:[31, 96, 1088], Operations: ['64*17=1088'] Exploring Operation: 1088-96=992, Resulting Numbers: [31, 992] Generated Node #3: [31, 992] from Operation: 1088-96=992 Current State: 32:[31, 992], Operations: ['64*17=1088', '1088-96=992'] Exploring Operation: 992/31=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 15, 59, 18, 45 ]
65
[ "15*18=270", "270/45=6", "59+6=65" ]
Current State: 65:[15, 59, 18, 45], Operations: [] Exploring Operation: 15*18=270, Resulting Numbers: [59, 45, 270] Generated Node #2: [59, 45, 270] from Operation: 15*18=270 Current State: 65:[59, 45, 270], Operations: ['15*18=270'] Exploring Operation: 270/45=6, Resulting Numbers: [59, 6] Generated Node #3: [59, 6] from Operation: 270/45=6 Current State: 65:[59, 6], Operations: ['15*18=270', '270/45=6'] Exploring Operation: 59+6=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 3, 1, 24, 32 ]
52
[ "3+1=4", "24+32=56", "56-4=52" ]
Current State: 52:[3, 1, 24, 32], Operations: [] Exploring Operation: 3+1=4, Resulting Numbers: [24, 32, 4] Generated Node #2: [24, 32, 4] from Operation: 3+1=4 Current State: 52:[24, 32, 4], Operations: ['3+1=4'] Exploring Operation: 24+32=56, Resulting Numbers: [4, 56] Generated Node #3: [4, 56] from Operation: 24+32=56 Current State: 52:[4, 56], Operations: ['3+1=4', '24+32=56'] Exploring Operation: 56-4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 47, 9, 16, 5 ]
67
[ "47+9=56", "16-5=11", "56+11=67" ]
Current State: 67:[47, 9, 16, 5], Operations: [] Exploring Operation: 47+9=56, Resulting Numbers: [16, 5, 56] Generated Node #2: [16, 5, 56] from Operation: 47+9=56 Current State: 67:[16, 5, 56], Operations: ['47+9=56'] Exploring Operation: 16-5=11, Resulting Numbers: [56, 11] Generated Node #3: [56, 11] from Operation: 16-5=11 Current State: 67:[56, 11], Operations: ['47+9=56', '16-5=11'] Exploring Operation: 56+11=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 13, 84, 98, 20 ]
70
[ "20-13=7", "98/7=14", "84-14=70" ]
Current State: 70:[13, 84, 98, 20], Operations: [] Exploring Operation: 20-13=7, Resulting Numbers: [84, 98, 7] Generated Node #2: [84, 98, 7] from Operation: 20-13=7 Current State: 70:[84, 98, 7], Operations: ['20-13=7'] Exploring Operation: 98/7=14, Resulting Numbers: [84, 14] Generated Node #3: [84, 14] from Operation: 98/7=14 Current State: 70:[84, 14], Operations: ['20-13=7', '98/7=14'] Exploring Operation: 84-14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 84, 85, 45, 98 ]
52
[ "85-84=1", "98-45=53", "53-1=52" ]
Current State: 52:[84, 85, 45, 98], Operations: [] Exploring Operation: 85-84=1, Resulting Numbers: [45, 98, 1] Generated Node #2: [45, 98, 1] from Operation: 85-84=1 Current State: 52:[45, 98, 1], Operations: ['85-84=1'] Exploring Operation: 98-45=53, Resulting Numbers: [1, 53] Generated Node #3: [1, 53] from Operation: 98-45=53 Current State: 52:[1, 53], Operations: ['85-84=1', '98-45=53'] Exploring Operation: 53-1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 91, 58, 35, 7 ]
28
[ "91-58=33", "35/7=5", "33-5=28" ]
Current State: 28:[91, 58, 35, 7], Operations: [] Exploring Operation: 91-58=33, Resulting Numbers: [35, 7, 33] Generated Node #2: [35, 7, 33] from Operation: 91-58=33 Current State: 28:[35, 7, 33], Operations: ['91-58=33'] Exploring Operation: 35/7=5, Resulting Numbers: [33, 5] Generated Node #3: [33, 5] from Operation: 35/7=5 Current State: 28:[33, 5], Operations: ['91-58=33', '35/7=5'] Exploring Operation: 33-5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 3, 87, 87, 82 ]
89
[ "87-3=84", "87-82=5", "84+5=89" ]
Current State: 89:[3, 87, 87, 82], Operations: [] Exploring Operation: 87-3=84, Resulting Numbers: [82, 84] Generated Node #2: [82, 84] from Operation: 87-3=84 Current State: 89:[82, 84], Operations: ['87-3=84'] Exploring Operation: 87-82=5, Resulting Numbers: [84, 5] Generated Node #3: [84, 5] from Operation: 87-82=5 Current State: 89:[84, 5], Operations: ['87-3=84', '87-82=5'] Exploring Operation: 84+5=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 95, 55, 64, 10 ]
49
[ "95+55=150", "150/10=15", "64-15=49" ]
Current State: 49:[95, 55, 64, 10], Operations: [] Exploring Operation: 95+55=150, Resulting Numbers: [64, 10, 150] Generated Node #2: [64, 10, 150] from Operation: 95+55=150 Current State: 49:[64, 10, 150], Operations: ['95+55=150'] Exploring Operation: 150/10=15, Resulting Numbers: [64, 15] Generated Node #3: [64, 15] from Operation: 150/10=15 Current State: 49:[64, 15], Operations: ['95+55=150', '150/10=15'] Exploring Operation: 64-15=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 9, 44, 54, 35 ]
36
[ "9+44=53", "54+35=89", "89-53=36" ]
Current State: 36:[9, 44, 54, 35], Operations: [] Exploring Operation: 9+44=53, Resulting Numbers: [54, 35, 53] Generated Node #2: [54, 35, 53] from Operation: 9+44=53 Current State: 36:[54, 35, 53], Operations: ['9+44=53'] Exploring Operation: 54+35=89, Resulting Numbers: [53, 89] Generated Node #3: [53, 89] from Operation: 54+35=89 Current State: 36:[53, 89], Operations: ['9+44=53', '54+35=89'] Exploring Operation: 89-53=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 15, 82, 83, 58 ]
43
[ "58-15=43", "83-82=1", "43*1=43" ]
Current State: 43:[15, 82, 83, 58], Operations: [] Exploring Operation: 58-15=43, Resulting Numbers: [82, 83, 43] Generated Node #2: [82, 83, 43] from Operation: 58-15=43 Current State: 43:[82, 83, 43], Operations: ['58-15=43'] Exploring Operation: 83-82=1, Resulting Numbers: [43, 1] Generated Node #3: [43, 1] from Operation: 83-82=1 Current State: 43:[43, 1], Operations: ['58-15=43', '83-82=1'] Exploring Operation: 43*1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 17, 20, 70, 11 ]
27
[ "20-17=3", "70+11=81", "81/3=27" ]
Current State: 27:[17, 20, 70, 11], Operations: [] Exploring Operation: 20-17=3, Resulting Numbers: [70, 11, 3] Generated Node #2: [70, 11, 3] from Operation: 20-17=3 Current State: 27:[70, 11, 3], Operations: ['20-17=3'] Exploring Operation: 70+11=81, Resulting Numbers: [3, 81] Generated Node #3: [3, 81] from Operation: 70+11=81 Current State: 27:[3, 81], Operations: ['20-17=3', '70+11=81'] Exploring Operation: 81/3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 16, 69, 92, 68 ]
56
[ "16*69=1104", "1104/92=12", "68-12=56" ]
Current State: 56:[16, 69, 92, 68], Operations: [] Exploring Operation: 16*69=1104, Resulting Numbers: [92, 68, 1104] Generated Node #2: [92, 68, 1104] from Operation: 16*69=1104 Current State: 56:[92, 68, 1104], Operations: ['16*69=1104'] Exploring Operation: 1104/92=12, Resulting Numbers: [68, 12] Generated Node #3: [68, 12] from Operation: 1104/92=12 Current State: 56:[68, 12], Operations: ['16*69=1104', '1104/92=12'] Exploring Operation: 68-12=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 84, 29, 69, 67 ]
81
[ "84-29=55", "69+67=136", "136-55=81" ]
Current State: 81:[84, 29, 69, 67], Operations: [] Exploring Operation: 84-29=55, Resulting Numbers: [69, 67, 55] Generated Node #2: [69, 67, 55] from Operation: 84-29=55 Current State: 81:[69, 67, 55], Operations: ['84-29=55'] Exploring Operation: 69+67=136, Resulting Numbers: [55, 136] Generated Node #3: [55, 136] from Operation: 69+67=136 Current State: 81:[55, 136], Operations: ['84-29=55', '69+67=136'] Exploring Operation: 136-55=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 77, 90, 80, 85 ]
93
[ "90-85=5", "80/5=16", "77+16=93" ]
Current State: 93:[77, 90, 80, 85], Operations: [] Exploring Operation: 90-85=5, Resulting Numbers: [77, 80, 5] Generated Node #2: [77, 80, 5] from Operation: 90-85=5 Current State: 93:[77, 80, 5], Operations: ['90-85=5'] Exploring Operation: 80/5=16, Resulting Numbers: [77, 16] Generated Node #3: [77, 16] from Operation: 80/5=16 Current State: 93:[77, 16], Operations: ['90-85=5', '80/5=16'] Exploring Operation: 77+16=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 51, 79, 21, 24 ]
96
[ "24-21=3", "51/3=17", "79+17=96" ]
Current State: 96:[51, 79, 21, 24], Operations: [] Exploring Operation: 24-21=3, Resulting Numbers: [51, 79, 3] Generated Node #2: [51, 79, 3] from Operation: 24-21=3 Current State: 96:[51, 79, 3], Operations: ['24-21=3'] Exploring Operation: 51/3=17, Resulting Numbers: [79, 17] Generated Node #3: [79, 17] from Operation: 51/3=17 Current State: 96:[79, 17], Operations: ['24-21=3', '51/3=17'] Exploring Operation: 79+17=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 20, 54, 18, 62 ]
16
[ "20-18=2", "62-54=8", "2*8=16" ]
Current State: 16:[20, 54, 18, 62], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [54, 62, 2] Generated Node #2: [54, 62, 2] from Operation: 20-18=2 Current State: 16:[54, 62, 2], Operations: ['20-18=2'] Exploring Operation: 62-54=8, Resulting Numbers: [2, 8] Generated Node #3: [2, 8] from Operation: 62-54=8 Current State: 16:[2, 8], Operations: ['20-18=2', '62-54=8'] Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 94, 97, 4, 86 ]
93
[ "97-94=3", "4+86=90", "3+90=93" ]
Current State: 93:[94, 97, 4, 86], Operations: [] Exploring Operation: 97-94=3, Resulting Numbers: [4, 86, 3] Generated Node #2: [4, 86, 3] from Operation: 97-94=3 Current State: 93:[4, 86, 3], Operations: ['97-94=3'] Exploring Operation: 4+86=90, Resulting Numbers: [3, 90] Generated Node #3: [3, 90] from Operation: 4+86=90 Current State: 93:[3, 90], Operations: ['97-94=3', '4+86=90'] Exploring Operation: 3+90=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 5, 21, 3, 13 ]
17
[ "5-3=2", "21+13=34", "34/2=17" ]
Current State: 17:[5, 21, 3, 13], Operations: [] Exploring Operation: 5-3=2, Resulting Numbers: [21, 13, 2] Generated Node #2: [21, 13, 2] from Operation: 5-3=2 Current State: 17:[21, 13, 2], Operations: ['5-3=2'] Exploring Operation: 21+13=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 21+13=34 Current State: 17:[2, 34], Operations: ['5-3=2', '21+13=34'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 29, 80, 33, 24 ]
100
[ "29+80=109", "33-24=9", "109-9=100" ]
Current State: 100:[29, 80, 33, 24], Operations: [] Exploring Operation: 29+80=109, Resulting Numbers: [33, 24, 109] Generated Node #2: [33, 24, 109] from Operation: 29+80=109 Current State: 100:[33, 24, 109], Operations: ['29+80=109'] Exploring Operation: 33-24=9, Resulting Numbers: [109, 9] Generated Node #3: [109, 9] from Operation: 33-24=9 Current State: 100:[109, 9], Operations: ['29+80=109', '33-24=9'] Exploring Operation: 109-9=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 71, 92, 20, 25 ]
65
[ "71*25=1775", "92*20=1840", "1840-1775=65" ]
Current State: 65:[71, 92, 20, 25], Operations: [] Exploring Operation: 71*25=1775, Resulting Numbers: [92, 20, 1775] Generated Node #2: [92, 20, 1775] from Operation: 71*25=1775 Current State: 65:[92, 20, 1775], Operations: ['71*25=1775'] Exploring Operation: 92*20=1840, Resulting Numbers: [1775, 1840] Generated Node #3: [1775, 1840] from Operation: 92*20=1840 Current State: 65:[1775, 1840], Operations: ['71*25=1775', '92*20=1840'] Exploring Operation: 1840-1775=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 54, 51, 6, 56 ]
39
[ "56-54=2", "6*2=12", "51-12=39" ]
Current State: 39:[54, 51, 6, 56], Operations: [] Exploring Operation: 56-54=2, Resulting Numbers: [51, 6, 2] Generated Node #2: [51, 6, 2] from Operation: 56-54=2 Current State: 39:[51, 6, 2], Operations: ['56-54=2'] Exploring Operation: 6*2=12, Resulting Numbers: [51, 12] Generated Node #3: [51, 12] from Operation: 6*2=12 Current State: 39:[51, 12], Operations: ['56-54=2', '6*2=12'] Exploring Operation: 51-12=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 36, 19, 14, 11 ]
80
[ "36+19=55", "14+11=25", "55+25=80" ]
Current State: 80:[36, 19, 14, 11], Operations: [] Exploring Operation: 36+19=55, Resulting Numbers: [14, 11, 55] Generated Node #2: [14, 11, 55] from Operation: 36+19=55 Current State: 80:[14, 11, 55], Operations: ['36+19=55'] Exploring Operation: 14+11=25, Resulting Numbers: [55, 25] Generated Node #3: [55, 25] from Operation: 14+11=25 Current State: 80:[55, 25], Operations: ['36+19=55', '14+11=25'] Exploring Operation: 55+25=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 26, 98, 31, 17 ]
24
[ "98-26=72", "31+17=48", "72-48=24" ]
Current State: 24:[26, 98, 31, 17], Operations: [] Exploring Operation: 98-26=72, Resulting Numbers: [31, 17, 72] Generated Node #2: [31, 17, 72] from Operation: 98-26=72 Current State: 24:[31, 17, 72], Operations: ['98-26=72'] Exploring Operation: 31+17=48, Resulting Numbers: [72, 48] Generated Node #3: [72, 48] from Operation: 31+17=48 Current State: 24:[72, 48], Operations: ['98-26=72', '31+17=48'] Exploring Operation: 72-48=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 36, 74, 37, 11 ]
63
[ "37-36=1", "74-11=63", "1*63=63" ]
Current State: 63:[36, 74, 37, 11], Operations: [] Exploring Operation: 37-36=1, Resulting Numbers: [74, 11, 1] Generated Node #2: [74, 11, 1] from Operation: 37-36=1 Current State: 63:[74, 11, 1], Operations: ['37-36=1'] Exploring Operation: 74-11=63, Resulting Numbers: [1, 63] Generated Node #3: [1, 63] from Operation: 74-11=63 Current State: 63:[1, 63], Operations: ['37-36=1', '74-11=63'] Exploring Operation: 1*63=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 57, 53, 82, 87 ]
19
[ "82-53=29", "57*29=1653", "1653/87=19" ]
Current State: 19:[57, 53, 82, 87], Operations: [] Exploring Operation: 82-53=29, Resulting Numbers: [57, 87, 29] Generated Node #2: [57, 87, 29] from Operation: 82-53=29 Current State: 19:[57, 87, 29], Operations: ['82-53=29'] Exploring Operation: 57*29=1653, Resulting Numbers: [87, 1653] Generated Node #3: [87, 1653] from Operation: 57*29=1653 Current State: 19:[87, 1653], Operations: ['82-53=29', '57*29=1653'] Exploring Operation: 1653/87=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 8, 11, 1, 44 ]
64
[ "8+11=19", "1+44=45", "19+45=64" ]
Current State: 64:[8, 11, 1, 44], Operations: [] Exploring Operation: 8+11=19, Resulting Numbers: [1, 44, 19] Generated Node #2: [1, 44, 19] from Operation: 8+11=19 Current State: 64:[1, 44, 19], Operations: ['8+11=19'] Exploring Operation: 1+44=45, Resulting Numbers: [19, 45] Generated Node #3: [19, 45] from Operation: 1+44=45 Current State: 64:[19, 45], Operations: ['8+11=19', '1+44=45'] Exploring Operation: 19+45=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 21, 5, 24, 77 ]
93
[ "24*77=1848", "1848/21=88", "5+88=93" ]
Current State: 93:[21, 5, 24, 77], Operations: [] Exploring Operation: 24*77=1848, Resulting Numbers: [21, 5, 1848] Generated Node #2: [21, 5, 1848] from Operation: 24*77=1848 Current State: 93:[21, 5, 1848], Operations: ['24*77=1848'] Exploring Operation: 1848/21=88, Resulting Numbers: [5, 88] Generated Node #3: [5, 88] from Operation: 1848/21=88 Current State: 93:[5, 88], Operations: ['24*77=1848', '1848/21=88'] Exploring Operation: 5+88=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 52, 57, 40, 24 ]
45
[ "52+57=109", "40+24=64", "109-64=45" ]
Current State: 45:[52, 57, 40, 24], Operations: [] Exploring Operation: 52+57=109, Resulting Numbers: [40, 24, 109] Generated Node #2: [40, 24, 109] from Operation: 52+57=109 Current State: 45:[40, 24, 109], Operations: ['52+57=109'] Exploring Operation: 40+24=64, Resulting Numbers: [109, 64] Generated Node #3: [109, 64] from Operation: 40+24=64 Current State: 45:[109, 64], Operations: ['52+57=109', '40+24=64'] Exploring Operation: 109-64=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 9, 30, 53, 51 ]
83
[ "30-9=21", "53+51=104", "104-21=83" ]
Current State: 83:[9, 30, 53, 51], Operations: [] Exploring Operation: 30-9=21, Resulting Numbers: [53, 51, 21] Generated Node #2: [53, 51, 21] from Operation: 30-9=21 Current State: 83:[53, 51, 21], Operations: ['30-9=21'] Exploring Operation: 53+51=104, Resulting Numbers: [21, 104] Generated Node #3: [21, 104] from Operation: 53+51=104 Current State: 83:[21, 104], Operations: ['30-9=21', '53+51=104'] Exploring Operation: 104-21=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 2, 81, 76, 79 ]
89
[ "81-76=5", "2*5=10", "79+10=89" ]
Current State: 89:[2, 81, 76, 79], Operations: [] Exploring Operation: 81-76=5, Resulting Numbers: [2, 79, 5] Generated Node #2: [2, 79, 5] from Operation: 81-76=5 Current State: 89:[2, 79, 5], Operations: ['81-76=5'] Exploring Operation: 2*5=10, Resulting Numbers: [79, 10] Generated Node #3: [79, 10] from Operation: 2*5=10 Current State: 89:[79, 10], Operations: ['81-76=5', '2*5=10'] Exploring Operation: 79+10=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 20, 56, 92, 80 ]
88
[ "20+56=76", "92-80=12", "76+12=88" ]
Current State: 88:[20, 56, 92, 80], Operations: [] Exploring Operation: 20+56=76, Resulting Numbers: [92, 80, 76] Generated Node #2: [92, 80, 76] from Operation: 20+56=76 Current State: 88:[92, 80, 76], Operations: ['20+56=76'] Exploring Operation: 92-80=12, Resulting Numbers: [76, 12] Generated Node #3: [76, 12] from Operation: 92-80=12 Current State: 88:[76, 12], Operations: ['20+56=76', '92-80=12'] Exploring Operation: 76+12=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 42, 25, 2, 52 ]
42
[ "52/2=26", "26-25=1", "42*1=42" ]
Current State: 42:[42, 25, 2, 52], Operations: [] Exploring Operation: 52/2=26, Resulting Numbers: [42, 25, 26] Generated Node #2: [42, 25, 26] from Operation: 52/2=26 Current State: 42:[42, 25, 26], Operations: ['52/2=26'] Exploring Operation: 26-25=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 26-25=1 Current State: 42:[42, 1], Operations: ['52/2=26', '26-25=1'] Exploring Operation: 42*1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 11, 51, 99, 61 ]
99
[ "11+51=62", "62-61=1", "99*1=99" ]
Current State: 99:[11, 51, 99, 61], Operations: [] Exploring Operation: 11+51=62, Resulting Numbers: [99, 61, 62] Generated Node #2: [99, 61, 62] from Operation: 11+51=62 Current State: 99:[99, 61, 62], Operations: ['11+51=62'] Exploring Operation: 62-61=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 62-61=1 Current State: 99:[99, 1], Operations: ['11+51=62', '62-61=1'] Exploring Operation: 99*1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 87, 61, 37, 50 ]
46
[ "87+61=148", "148/37=4", "50-4=46" ]
Current State: 46:[87, 61, 37, 50], Operations: [] Exploring Operation: 87+61=148, Resulting Numbers: [37, 50, 148] Generated Node #2: [37, 50, 148] from Operation: 87+61=148 Current State: 46:[37, 50, 148], Operations: ['87+61=148'] Exploring Operation: 148/37=4, Resulting Numbers: [50, 4] Generated Node #3: [50, 4] from Operation: 148/37=4 Current State: 46:[50, 4], Operations: ['87+61=148', '148/37=4'] Exploring Operation: 50-4=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 82, 29, 3, 91 ]
23
[ "82+29=111", "91-3=88", "111-88=23" ]
Current State: 23:[82, 29, 3, 91], Operations: [] Exploring Operation: 82+29=111, Resulting Numbers: [3, 91, 111] Generated Node #2: [3, 91, 111] from Operation: 82+29=111 Current State: 23:[3, 91, 111], Operations: ['82+29=111'] Exploring Operation: 91-3=88, Resulting Numbers: [111, 88] Generated Node #3: [111, 88] from Operation: 91-3=88 Current State: 23:[111, 88], Operations: ['82+29=111', '91-3=88'] Exploring Operation: 111-88=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 37, 16, 56, 20 ]
17
[ "37+16=53", "56-20=36", "53-36=17" ]
Current State: 17:[37, 16, 56, 20], Operations: [] Exploring Operation: 37+16=53, Resulting Numbers: [56, 20, 53] Generated Node #2: [56, 20, 53] from Operation: 37+16=53 Current State: 17:[56, 20, 53], Operations: ['37+16=53'] Exploring Operation: 56-20=36, Resulting Numbers: [53, 36] Generated Node #3: [53, 36] from Operation: 56-20=36 Current State: 17:[53, 36], Operations: ['37+16=53', '56-20=36'] Exploring Operation: 53-36=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 60, 2, 14, 22 ]
26
[ "60+2=62", "14+22=36", "62-36=26" ]
Current State: 26:[60, 2, 14, 22], Operations: [] Exploring Operation: 60+2=62, Resulting Numbers: [14, 22, 62] Generated Node #2: [14, 22, 62] from Operation: 60+2=62 Current State: 26:[14, 22, 62], Operations: ['60+2=62'] Exploring Operation: 14+22=36, Resulting Numbers: [62, 36] Generated Node #3: [62, 36] from Operation: 14+22=36 Current State: 26:[62, 36], Operations: ['60+2=62', '14+22=36'] Exploring Operation: 62-36=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 41, 3, 16, 97 ]
37
[ "41+3=44", "97-16=81", "81-44=37" ]
Current State: 37:[41, 3, 16, 97], Operations: [] Exploring Operation: 41+3=44, Resulting Numbers: [16, 97, 44] Generated Node #2: [16, 97, 44] from Operation: 41+3=44 Current State: 37:[16, 97, 44], Operations: ['41+3=44'] Exploring Operation: 97-16=81, Resulting Numbers: [44, 81] Generated Node #3: [44, 81] from Operation: 97-16=81 Current State: 37:[44, 81], Operations: ['41+3=44', '97-16=81'] Exploring Operation: 81-44=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 96, 91, 94, 71 ]
75
[ "96-71=25", "94-91=3", "25*3=75" ]
Current State: 75:[96, 91, 94, 71], Operations: [] Exploring Operation: 96-71=25, Resulting Numbers: [91, 94, 25] Generated Node #2: [91, 94, 25] from Operation: 96-71=25 Current State: 75:[91, 94, 25], Operations: ['96-71=25'] Exploring Operation: 94-91=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 94-91=3 Current State: 75:[25, 3], Operations: ['96-71=25', '94-91=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 46, 20, 81, 44 ]
29
[ "46+20=66", "81-44=37", "66-37=29" ]
Current State: 29:[46, 20, 81, 44], Operations: [] Exploring Operation: 46+20=66, Resulting Numbers: [81, 44, 66] Generated Node #2: [81, 44, 66] from Operation: 46+20=66 Current State: 29:[81, 44, 66], Operations: ['46+20=66'] Exploring Operation: 81-44=37, Resulting Numbers: [66, 37] Generated Node #3: [66, 37] from Operation: 81-44=37 Current State: 29:[66, 37], Operations: ['46+20=66', '81-44=37'] Exploring Operation: 66-37=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 59, 24, 16, 16 ]
51
[ "59+24=83", "16+16=32", "83-32=51" ]
Current State: 51:[59, 24, 16, 16], Operations: [] Exploring Operation: 59+24=83, Resulting Numbers: [16, 16, 83] Generated Node #2: [16, 16, 83] from Operation: 59+24=83 Current State: 51:[16, 16, 83], Operations: ['59+24=83'] Exploring Operation: 16+16=32, Resulting Numbers: [83, 32] Generated Node #3: [83, 32] from Operation: 16+16=32 Current State: 51:[83, 32], Operations: ['59+24=83', '16+16=32'] Exploring Operation: 83-32=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 32, 20, 68, 83 ]
78
[ "32+68=100", "100/20=5", "83-5=78" ]
Current State: 78:[32, 20, 68, 83], Operations: [] Exploring Operation: 32+68=100, Resulting Numbers: [20, 83, 100] Generated Node #2: [20, 83, 100] from Operation: 32+68=100 Current State: 78:[20, 83, 100], Operations: ['32+68=100'] Exploring Operation: 100/20=5, Resulting Numbers: [83, 5] Generated Node #3: [83, 5] from Operation: 100/20=5 Current State: 78:[83, 5], Operations: ['32+68=100', '100/20=5'] Exploring Operation: 83-5=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 77, 8, 34, 62 ]
27
[ "77-8=69", "34+62=96", "96-69=27" ]
Current State: 27:[77, 8, 34, 62], Operations: [] Exploring Operation: 77-8=69, Resulting Numbers: [34, 62, 69] Generated Node #2: [34, 62, 69] from Operation: 77-8=69 Current State: 27:[34, 62, 69], Operations: ['77-8=69'] Exploring Operation: 34+62=96, Resulting Numbers: [69, 96] Generated Node #3: [69, 96] from Operation: 34+62=96 Current State: 27:[69, 96], Operations: ['77-8=69', '34+62=96'] Exploring Operation: 96-69=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 14, 14, 83, 21 ]
85
[ "21-14=7", "14/7=2", "83+2=85" ]
Current State: 85:[14, 14, 83, 21], Operations: [] Exploring Operation: 21-14=7, Resulting Numbers: [83, 7] Generated Node #2: [83, 7] from Operation: 21-14=7 Current State: 85:[83, 7], Operations: ['21-14=7'] Exploring Operation: 14/7=2, Resulting Numbers: [83, 2] Generated Node #3: [83, 2] from Operation: 14/7=2 Current State: 85:[83, 2], Operations: ['21-14=7', '14/7=2'] Exploring Operation: 83+2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 37, 95, 25, 15 ]
98
[ "95-37=58", "25+15=40", "58+40=98" ]
Current State: 98:[37, 95, 25, 15], Operations: [] Exploring Operation: 95-37=58, Resulting Numbers: [25, 15, 58] Generated Node #2: [25, 15, 58] from Operation: 95-37=58 Current State: 98:[25, 15, 58], Operations: ['95-37=58'] Exploring Operation: 25+15=40, Resulting Numbers: [58, 40] Generated Node #3: [58, 40] from Operation: 25+15=40 Current State: 98:[58, 40], Operations: ['95-37=58', '25+15=40'] Exploring Operation: 58+40=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 91, 6, 93, 10 ]
26
[ "93-91=2", "10*2=20", "6+20=26" ]
Current State: 26:[91, 6, 93, 10], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [6, 10, 2] Generated Node #2: [6, 10, 2] from Operation: 93-91=2 Current State: 26:[6, 10, 2], Operations: ['93-91=2'] Exploring Operation: 10*2=20, Resulting Numbers: [6, 20] Generated Node #3: [6, 20] from Operation: 10*2=20 Current State: 26:[6, 20], Operations: ['93-91=2', '10*2=20'] Exploring Operation: 6+20=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 33, 97, 34, 42 ]
72
[ "97-33=64", "42-34=8", "64+8=72" ]
Current State: 72:[33, 97, 34, 42], Operations: [] Exploring Operation: 97-33=64, Resulting Numbers: [34, 42, 64] Generated Node #2: [34, 42, 64] from Operation: 97-33=64 Current State: 72:[34, 42, 64], Operations: ['97-33=64'] Exploring Operation: 42-34=8, Resulting Numbers: [64, 8] Generated Node #3: [64, 8] from Operation: 42-34=8 Current State: 72:[64, 8], Operations: ['97-33=64', '42-34=8'] Exploring Operation: 64+8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 89, 96, 72, 8 ]
86
[ "96-72=24", "24/8=3", "89-3=86" ]
Current State: 86:[89, 96, 72, 8], Operations: [] Exploring Operation: 96-72=24, Resulting Numbers: [89, 8, 24] Generated Node #2: [89, 8, 24] from Operation: 96-72=24 Current State: 86:[89, 8, 24], Operations: ['96-72=24'] Exploring Operation: 24/8=3, Resulting Numbers: [89, 3] Generated Node #3: [89, 3] from Operation: 24/8=3 Current State: 86:[89, 3], Operations: ['96-72=24', '24/8=3'] Exploring Operation: 89-3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 80, 65, 5, 65 ]
80
[ "65-65=0", "5*0=0", "80+0=80" ]
Current State: 80:[80, 65, 5, 65], Operations: [] Exploring Operation: 65-65=0, Resulting Numbers: [80, 5, 0] Generated Node #2: [80, 5, 0] from Operation: 65-65=0 Current State: 80:[80, 5, 0], Operations: ['65-65=0'] Exploring Operation: 5*0=0, Resulting Numbers: [80, 0] Generated Node #3: [80, 0] from Operation: 5*0=0 Current State: 80:[80, 0], Operations: ['65-65=0', '5*0=0'] Exploring Operation: 80+0=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 72, 31, 18, 63 ]
36
[ "72/18=4", "63-31=32", "4+32=36" ]
Current State: 36:[72, 31, 18, 63], Operations: [] Exploring Operation: 72/18=4, Resulting Numbers: [31, 63, 4] Generated Node #2: [31, 63, 4] from Operation: 72/18=4 Current State: 36:[31, 63, 4], Operations: ['72/18=4'] Exploring Operation: 63-31=32, Resulting Numbers: [4, 32] Generated Node #3: [4, 32] from Operation: 63-31=32 Current State: 36:[4, 32], Operations: ['72/18=4', '63-31=32'] Exploring Operation: 4+32=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 25, 78, 68, 44 ]
79
[ "25+78=103", "68-44=24", "103-24=79" ]
Current State: 79:[25, 78, 68, 44], Operations: [] Exploring Operation: 25+78=103, Resulting Numbers: [68, 44, 103] Generated Node #2: [68, 44, 103] from Operation: 25+78=103 Current State: 79:[68, 44, 103], Operations: ['25+78=103'] Exploring Operation: 68-44=24, Resulting Numbers: [103, 24] Generated Node #3: [103, 24] from Operation: 68-44=24 Current State: 79:[103, 24], Operations: ['25+78=103', '68-44=24'] Exploring Operation: 103-24=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 38, 10, 88, 86 ]
86
[ "86-10=76", "76/38=2", "88-2=86" ]
Current State: 86:[38, 10, 88, 86], Operations: [] Exploring Operation: 86-10=76, Resulting Numbers: [38, 88, 76] Generated Node #2: [38, 88, 76] from Operation: 86-10=76 Current State: 86:[38, 88, 76], Operations: ['86-10=76'] Exploring Operation: 76/38=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 76/38=2 Current State: 86:[88, 2], Operations: ['86-10=76', '76/38=2'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 97, 40, 70, 10 ]
99
[ "70+10=80", "80/40=2", "97+2=99" ]
Current State: 99:[97, 40, 70, 10], Operations: [] Exploring Operation: 70+10=80, Resulting Numbers: [97, 40, 80] Generated Node #2: [97, 40, 80] from Operation: 70+10=80 Current State: 99:[97, 40, 80], Operations: ['70+10=80'] Exploring Operation: 80/40=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 80/40=2 Current State: 99:[97, 2], Operations: ['70+10=80', '80/40=2'] Exploring Operation: 97+2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 67, 84, 27, 90 ]
34
[ "67+84=151", "27+90=117", "151-117=34" ]
Current State: 34:[67, 84, 27, 90], Operations: [] Exploring Operation: 67+84=151, Resulting Numbers: [27, 90, 151] Generated Node #2: [27, 90, 151] from Operation: 67+84=151 Current State: 34:[27, 90, 151], Operations: ['67+84=151'] Exploring Operation: 27+90=117, Resulting Numbers: [151, 117] Generated Node #3: [151, 117] from Operation: 27+90=117 Current State: 34:[151, 117], Operations: ['67+84=151', '27+90=117'] Exploring Operation: 151-117=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 7, 13, 13, 51 ]
43
[ "51-7=44", "13/13=1", "44-1=43" ]
Current State: 43:[7, 13, 13, 51], Operations: [] Exploring Operation: 51-7=44, Resulting Numbers: [13, 13, 44] Generated Node #2: [13, 13, 44] from Operation: 51-7=44 Current State: 43:[13, 13, 44], Operations: ['51-7=44'] Exploring Operation: 13/13=1, Resulting Numbers: [44, 1] Generated Node #3: [44, 1] from Operation: 13/13=1 Current State: 43:[44, 1], Operations: ['51-7=44', '13/13=1'] Exploring Operation: 44-1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 35, 42, 26, 4 ]
52
[ "42+26=68", "68/4=17", "35+17=52" ]
Current State: 52:[35, 42, 26, 4], Operations: [] Exploring Operation: 42+26=68, Resulting Numbers: [35, 4, 68] Generated Node #2: [35, 4, 68] from Operation: 42+26=68 Current State: 52:[35, 4, 68], Operations: ['42+26=68'] Exploring Operation: 68/4=17, Resulting Numbers: [35, 17] Generated Node #3: [35, 17] from Operation: 68/4=17 Current State: 52:[35, 17], Operations: ['42+26=68', '68/4=17'] Exploring Operation: 35+17=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 61, 37, 64, 15 ]
73
[ "61-37=24", "64-15=49", "24+49=73" ]
Current State: 73:[61, 37, 64, 15], Operations: [] Exploring Operation: 61-37=24, Resulting Numbers: [64, 15, 24] Generated Node #2: [64, 15, 24] from Operation: 61-37=24 Current State: 73:[64, 15, 24], Operations: ['61-37=24'] Exploring Operation: 64-15=49, Resulting Numbers: [24, 49] Generated Node #3: [24, 49] from Operation: 64-15=49 Current State: 73:[24, 49], Operations: ['61-37=24', '64-15=49'] Exploring Operation: 24+49=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 8, 14, 66, 64 ]
54
[ "14+66=80", "80/8=10", "64-10=54" ]
Current State: 54:[8, 14, 66, 64], Operations: [] Exploring Operation: 14+66=80, Resulting Numbers: [8, 64, 80] Generated Node #2: [8, 64, 80] from Operation: 14+66=80 Current State: 54:[8, 64, 80], Operations: ['14+66=80'] Exploring Operation: 80/8=10, Resulting Numbers: [64, 10] Generated Node #3: [64, 10] from Operation: 80/8=10 Current State: 54:[64, 10], Operations: ['14+66=80', '80/8=10'] Exploring Operation: 64-10=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 24, 58, 57, 8 ]
39
[ "24/8=3", "57/3=19", "58-19=39" ]
Current State: 39:[24, 58, 57, 8], Operations: [] Exploring Operation: 24/8=3, Resulting Numbers: [58, 57, 3] Generated Node #2: [58, 57, 3] from Operation: 24/8=3 Current State: 39:[58, 57, 3], Operations: ['24/8=3'] Exploring Operation: 57/3=19, Resulting Numbers: [58, 19] Generated Node #3: [58, 19] from Operation: 57/3=19 Current State: 39:[58, 19], Operations: ['24/8=3', '57/3=19'] Exploring Operation: 58-19=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 95, 80, 61, 75 ]
29
[ "95-80=15", "75-61=14", "15+14=29" ]
Current State: 29:[95, 80, 61, 75], Operations: [] Exploring Operation: 95-80=15, Resulting Numbers: [61, 75, 15] Generated Node #2: [61, 75, 15] from Operation: 95-80=15 Current State: 29:[61, 75, 15], Operations: ['95-80=15'] Exploring Operation: 75-61=14, Resulting Numbers: [15, 14] Generated Node #3: [15, 14] from Operation: 75-61=14 Current State: 29:[15, 14], Operations: ['95-80=15', '75-61=14'] Exploring Operation: 15+14=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 20, 54, 12, 10 ]
65
[ "54*10=540", "540/12=45", "20+45=65" ]
Current State: 65:[20, 54, 12, 10], Operations: [] Exploring Operation: 54*10=540, Resulting Numbers: [20, 12, 540] Generated Node #2: [20, 12, 540] from Operation: 54*10=540 Current State: 65:[20, 12, 540], Operations: ['54*10=540'] Exploring Operation: 540/12=45, Resulting Numbers: [20, 45] Generated Node #3: [20, 45] from Operation: 540/12=45 Current State: 65:[20, 45], Operations: ['54*10=540', '540/12=45'] Exploring Operation: 20+45=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 27, 25, 63, 73 ]
53
[ "27-25=2", "63*2=126", "126-73=53" ]
Current State: 53:[27, 25, 63, 73], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [63, 73, 2] Generated Node #2: [63, 73, 2] from Operation: 27-25=2 Current State: 53:[63, 73, 2], Operations: ['27-25=2'] Exploring Operation: 63*2=126, Resulting Numbers: [73, 126] Generated Node #3: [73, 126] from Operation: 63*2=126 Current State: 53:[73, 126], Operations: ['27-25=2', '63*2=126'] Exploring Operation: 126-73=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 78, 44, 2, 72 ]
20
[ "44+72=116", "116/2=58", "78-58=20" ]
Current State: 20:[78, 44, 2, 72], Operations: [] Exploring Operation: 44+72=116, Resulting Numbers: [78, 2, 116] Generated Node #2: [78, 2, 116] from Operation: 44+72=116 Current State: 20:[78, 2, 116], Operations: ['44+72=116'] Exploring Operation: 116/2=58, Resulting Numbers: [78, 58] Generated Node #3: [78, 58] from Operation: 116/2=58 Current State: 20:[78, 58], Operations: ['44+72=116', '116/2=58'] Exploring Operation: 78-58=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 76, 39, 14, 87 ]
67
[ "39+87=126", "126/14=9", "76-9=67" ]
Current State: 67:[76, 39, 14, 87], Operations: [] Exploring Operation: 39+87=126, Resulting Numbers: [76, 14, 126] Generated Node #2: [76, 14, 126] from Operation: 39+87=126 Current State: 67:[76, 14, 126], Operations: ['39+87=126'] Exploring Operation: 126/14=9, Resulting Numbers: [76, 9] Generated Node #3: [76, 9] from Operation: 126/14=9 Current State: 67:[76, 9], Operations: ['39+87=126', '126/14=9'] Exploring Operation: 76-9=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 64, 72, 28, 64 ]
36
[ "72-64=8", "64/8=8", "28+8=36" ]
Current State: 36:[64, 72, 28, 64], Operations: [] Exploring Operation: 72-64=8, Resulting Numbers: [28, 8] Generated Node #2: [28, 8] from Operation: 72-64=8 Current State: 36:[28, 8], Operations: ['72-64=8'] Exploring Operation: 64/8=8, Resulting Numbers: [28, 8] Generated Node #3: [28, 8] from Operation: 64/8=8 Current State: 36:[28, 8], Operations: ['72-64=8', '64/8=8'] Exploring Operation: 28+8=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 42, 1, 75, 59 ]
26
[ "42*1=42", "75-59=16", "42-16=26" ]
Current State: 26:[42, 1, 75, 59], Operations: [] Exploring Operation: 42*1=42, Resulting Numbers: [75, 59, 42] Generated Node #2: [75, 59, 42] from Operation: 42*1=42 Current State: 26:[75, 59, 42], Operations: ['42*1=42'] Exploring Operation: 75-59=16, Resulting Numbers: [42, 16] Generated Node #3: [42, 16] from Operation: 75-59=16 Current State: 26:[42, 16], Operations: ['42*1=42', '75-59=16'] Exploring Operation: 42-16=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 2, 16, 56, 68 ]
70
[ "16+56=72", "68+72=140", "140/2=70" ]
Current State: 70:[2, 16, 56, 68], Operations: [] Exploring Operation: 16+56=72, Resulting Numbers: [2, 68, 72] Generated Node #2: [2, 68, 72] from Operation: 16+56=72 Current State: 70:[2, 68, 72], Operations: ['16+56=72'] Exploring Operation: 68+72=140, Resulting Numbers: [2, 140] Generated Node #3: [2, 140] from Operation: 68+72=140 Current State: 70:[2, 140], Operations: ['16+56=72', '68+72=140'] Exploring Operation: 140/2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 44, 52, 31, 90 ]
67
[ "52-44=8", "90-31=59", "8+59=67" ]
Current State: 67:[44, 52, 31, 90], Operations: [] Exploring Operation: 52-44=8, Resulting Numbers: [31, 90, 8] Generated Node #2: [31, 90, 8] from Operation: 52-44=8 Current State: 67:[31, 90, 8], Operations: ['52-44=8'] Exploring Operation: 90-31=59, Resulting Numbers: [8, 59] Generated Node #3: [8, 59] from Operation: 90-31=59 Current State: 67:[8, 59], Operations: ['52-44=8', '90-31=59'] Exploring Operation: 8+59=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 42, 62, 86, 56 ]
79
[ "62-56=6", "42/6=7", "86-7=79" ]
Current State: 79:[42, 62, 86, 56], Operations: [] Exploring Operation: 62-56=6, Resulting Numbers: [42, 86, 6] Generated Node #2: [42, 86, 6] from Operation: 62-56=6 Current State: 79:[42, 86, 6], Operations: ['62-56=6'] Exploring Operation: 42/6=7, Resulting Numbers: [86, 7] Generated Node #3: [86, 7] from Operation: 42/6=7 Current State: 79:[86, 7], Operations: ['62-56=6', '42/6=7'] Exploring Operation: 86-7=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 19, 46, 27, 56 ]
55
[ "46-19=27", "27/27=1", "56-1=55" ]
Current State: 55:[19, 46, 27, 56], Operations: [] Exploring Operation: 46-19=27, Resulting Numbers: [27, 56, 27] Generated Node #2: [27, 56, 27] from Operation: 46-19=27 Current State: 55:[27, 56, 27], Operations: ['46-19=27'] Exploring Operation: 27/27=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 27/27=1 Current State: 55:[56, 1], Operations: ['46-19=27', '27/27=1'] Exploring Operation: 56-1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 21, 33, 86, 6 ]
34
[ "33+86=119", "6*119=714", "714/21=34" ]
Current State: 34:[21, 33, 86, 6], Operations: [] Exploring Operation: 33+86=119, Resulting Numbers: [21, 6, 119] Generated Node #2: [21, 6, 119] from Operation: 33+86=119 Current State: 34:[21, 6, 119], Operations: ['33+86=119'] Exploring Operation: 6*119=714, Resulting Numbers: [21, 714] Generated Node #3: [21, 714] from Operation: 6*119=714 Current State: 34:[21, 714], Operations: ['33+86=119', '6*119=714'] Exploring Operation: 714/21=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 31, 23, 2, 66 ]
70
[ "31-23=8", "8/2=4", "66+4=70" ]
Current State: 70:[31, 23, 2, 66], Operations: [] Exploring Operation: 31-23=8, Resulting Numbers: [2, 66, 8] Generated Node #2: [2, 66, 8] from Operation: 31-23=8 Current State: 70:[2, 66, 8], Operations: ['31-23=8'] Exploring Operation: 8/2=4, Resulting Numbers: [66, 4] Generated Node #3: [66, 4] from Operation: 8/2=4 Current State: 70:[66, 4], Operations: ['31-23=8', '8/2=4'] Exploring Operation: 66+4=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 30, 18, 65, 41 ]
40
[ "65-41=24", "30*24=720", "720/18=40" ]
Current State: 40:[30, 18, 65, 41], Operations: [] Exploring Operation: 65-41=24, Resulting Numbers: [30, 18, 24] Generated Node #2: [30, 18, 24] from Operation: 65-41=24 Current State: 40:[30, 18, 24], Operations: ['65-41=24'] Exploring Operation: 30*24=720, Resulting Numbers: [18, 720] Generated Node #3: [18, 720] from Operation: 30*24=720 Current State: 40:[18, 720], Operations: ['65-41=24', '30*24=720'] Exploring Operation: 720/18=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 56, 17, 80, 63 ]
22
[ "56-17=39", "80-63=17", "39-17=22" ]
Current State: 22:[56, 17, 80, 63], Operations: [] Exploring Operation: 56-17=39, Resulting Numbers: [80, 63, 39] Generated Node #2: [80, 63, 39] from Operation: 56-17=39 Current State: 22:[80, 63, 39], Operations: ['56-17=39'] Exploring Operation: 80-63=17, Resulting Numbers: [39, 17] Generated Node #3: [39, 17] from Operation: 80-63=17 Current State: 22:[39, 17], Operations: ['56-17=39', '80-63=17'] Exploring Operation: 39-17=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 32, 54, 66, 2 ]
77
[ "54-32=22", "22/2=11", "66+11=77" ]
Current State: 77:[32, 54, 66, 2], Operations: [] Exploring Operation: 54-32=22, Resulting Numbers: [66, 2, 22] Generated Node #2: [66, 2, 22] from Operation: 54-32=22 Current State: 77:[66, 2, 22], Operations: ['54-32=22'] Exploring Operation: 22/2=11, Resulting Numbers: [66, 11] Generated Node #3: [66, 11] from Operation: 22/2=11 Current State: 77:[66, 11], Operations: ['54-32=22', '22/2=11'] Exploring Operation: 66+11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 11, 8, 14, 66 ]
16
[ "66/11=6", "8+14=22", "22-6=16" ]
Current State: 16:[11, 8, 14, 66], Operations: [] Exploring Operation: 66/11=6, Resulting Numbers: [8, 14, 6] Generated Node #2: [8, 14, 6] from Operation: 66/11=6 Current State: 16:[8, 14, 6], Operations: ['66/11=6'] Exploring Operation: 8+14=22, Resulting Numbers: [6, 22] Generated Node #3: [6, 22] from Operation: 8+14=22 Current State: 16:[6, 22], Operations: ['66/11=6', '8+14=22'] Exploring Operation: 22-6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 46, 63, 49, 71 ]
87
[ "46+63=109", "71-49=22", "109-22=87" ]
Current State: 87:[46, 63, 49, 71], Operations: [] Exploring Operation: 46+63=109, Resulting Numbers: [49, 71, 109] Generated Node #2: [49, 71, 109] from Operation: 46+63=109 Current State: 87:[49, 71, 109], Operations: ['46+63=109'] Exploring Operation: 71-49=22, Resulting Numbers: [109, 22] Generated Node #3: [109, 22] from Operation: 71-49=22 Current State: 87:[109, 22], Operations: ['46+63=109', '71-49=22'] Exploring Operation: 109-22=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 77, 82, 9, 11 ]
84
[ "77/11=7", "82+9=91", "91-7=84" ]
Current State: 84:[77, 82, 9, 11], Operations: [] Exploring Operation: 77/11=7, Resulting Numbers: [82, 9, 7] Generated Node #2: [82, 9, 7] from Operation: 77/11=7 Current State: 84:[82, 9, 7], Operations: ['77/11=7'] Exploring Operation: 82+9=91, Resulting Numbers: [7, 91] Generated Node #3: [7, 91] from Operation: 82+9=91 Current State: 84:[7, 91], Operations: ['77/11=7', '82+9=91'] Exploring Operation: 91-7=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 42, 90, 7, 6 ]
98
[ "90*7=630", "630-42=588", "588/6=98" ]
Current State: 98:[42, 90, 7, 6], Operations: [] Exploring Operation: 90*7=630, Resulting Numbers: [42, 6, 630] Generated Node #2: [42, 6, 630] from Operation: 90*7=630 Current State: 98:[42, 6, 630], Operations: ['90*7=630'] Exploring Operation: 630-42=588, Resulting Numbers: [6, 588] Generated Node #3: [6, 588] from Operation: 630-42=588 Current State: 98:[6, 588], Operations: ['90*7=630', '630-42=588'] Exploring Operation: 588/6=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 39, 52, 4, 68 ]
92
[ "39+52=91", "91-68=23", "4*23=92" ]
Current State: 92:[39, 52, 4, 68], Operations: [] Exploring Operation: 39+52=91, Resulting Numbers: [4, 68, 91] Generated Node #2: [4, 68, 91] from Operation: 39+52=91 Current State: 92:[4, 68, 91], Operations: ['39+52=91'] Exploring Operation: 91-68=23, Resulting Numbers: [4, 23] Generated Node #3: [4, 23] from Operation: 91-68=23 Current State: 92:[4, 23], Operations: ['39+52=91', '91-68=23'] Exploring Operation: 4*23=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 4, 29, 5, 19 ]
30
[ "29-4=25", "25-19=6", "5*6=30" ]
Current State: 30:[4, 29, 5, 19], Operations: [] Exploring Operation: 29-4=25, Resulting Numbers: [5, 19, 25] Generated Node #2: [5, 19, 25] from Operation: 29-4=25 Current State: 30:[5, 19, 25], Operations: ['29-4=25'] Exploring Operation: 25-19=6, Resulting Numbers: [5, 6] Generated Node #3: [5, 6] from Operation: 25-19=6 Current State: 30:[5, 6], Operations: ['29-4=25', '25-19=6'] Exploring Operation: 5*6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 70, 59, 89, 51 ]
61
[ "89+51=140", "140/70=2", "59+2=61" ]
Current State: 61:[70, 59, 89, 51], Operations: [] Exploring Operation: 89+51=140, Resulting Numbers: [70, 59, 140] Generated Node #2: [70, 59, 140] from Operation: 89+51=140 Current State: 61:[70, 59, 140], Operations: ['89+51=140'] Exploring Operation: 140/70=2, Resulting Numbers: [59, 2] Generated Node #3: [59, 2] from Operation: 140/70=2 Current State: 61:[59, 2], Operations: ['89+51=140', '140/70=2'] Exploring Operation: 59+2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 34, 22, 14, 47 ]
43
[ "34+22=56", "56/14=4", "47-4=43" ]
Current State: 43:[34, 22, 14, 47], Operations: [] Exploring Operation: 34+22=56, Resulting Numbers: [14, 47, 56] Generated Node #2: [14, 47, 56] from Operation: 34+22=56 Current State: 43:[14, 47, 56], Operations: ['34+22=56'] Exploring Operation: 56/14=4, Resulting Numbers: [47, 4] Generated Node #3: [47, 4] from Operation: 56/14=4 Current State: 43:[47, 4], Operations: ['34+22=56', '56/14=4'] Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 54, 70, 43, 19 ]
100
[ "54+70=124", "43-19=24", "124-24=100" ]
Current State: 100:[54, 70, 43, 19], Operations: [] Exploring Operation: 54+70=124, Resulting Numbers: [43, 19, 124] Generated Node #2: [43, 19, 124] from Operation: 54+70=124 Current State: 100:[43, 19, 124], Operations: ['54+70=124'] Exploring Operation: 43-19=24, Resulting Numbers: [124, 24] Generated Node #3: [124, 24] from Operation: 43-19=24 Current State: 100:[124, 24], Operations: ['54+70=124', '43-19=24'] Exploring Operation: 124-24=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 89, 32, 1, 16 ]
41
[ "89-32=57", "1*16=16", "57-16=41" ]
Current State: 41:[89, 32, 1, 16], Operations: [] Exploring Operation: 89-32=57, Resulting Numbers: [1, 16, 57] Generated Node #2: [1, 16, 57] from Operation: 89-32=57 Current State: 41:[1, 16, 57], Operations: ['89-32=57'] Exploring Operation: 1*16=16, Resulting Numbers: [57, 16] Generated Node #3: [57, 16] from Operation: 1*16=16 Current State: 41:[57, 16], Operations: ['89-32=57', '1*16=16'] Exploring Operation: 57-16=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 37, 6, 90, 2 ]
79
[ "90-6=84", "84/2=42", "37+42=79" ]
Current State: 79:[37, 6, 90, 2], Operations: [] Exploring Operation: 90-6=84, Resulting Numbers: [37, 2, 84] Generated Node #2: [37, 2, 84] from Operation: 90-6=84 Current State: 79:[37, 2, 84], Operations: ['90-6=84'] Exploring Operation: 84/2=42, Resulting Numbers: [37, 42] Generated Node #3: [37, 42] from Operation: 84/2=42 Current State: 79:[37, 42], Operations: ['90-6=84', '84/2=42'] Exploring Operation: 37+42=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 96, 42, 22, 2 ]
79
[ "96-22=74", "74/2=37", "42+37=79" ]
Current State: 79:[96, 42, 22, 2], Operations: [] Exploring Operation: 96-22=74, Resulting Numbers: [42, 2, 74] Generated Node #2: [42, 2, 74] from Operation: 96-22=74 Current State: 79:[42, 2, 74], Operations: ['96-22=74'] Exploring Operation: 74/2=37, Resulting Numbers: [42, 37] Generated Node #3: [42, 37] from Operation: 74/2=37 Current State: 79:[42, 37], Operations: ['96-22=74', '74/2=37'] Exploring Operation: 42+37=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 1, 18, 2, 82 ]
97
[ "18-1=17", "82-2=80", "17+80=97" ]
Current State: 97:[1, 18, 2, 82], Operations: [] Exploring Operation: 18-1=17, Resulting Numbers: [2, 82, 17] Generated Node #2: [2, 82, 17] from Operation: 18-1=17 Current State: 97:[2, 82, 17], Operations: ['18-1=17'] Exploring Operation: 82-2=80, Resulting Numbers: [17, 80] Generated Node #3: [17, 80] from Operation: 82-2=80 Current State: 97:[17, 80], Operations: ['18-1=17', '82-2=80'] Exploring Operation: 17+80=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4