Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 90, 32, 7, 36 ]
30
[ "32+7=39", "39-36=3", "90/3=30" ]
Current State: 30:[90, 32, 7, 36], Operations: [] Exploring Operation: 32+7=39, Resulting Numbers: [90, 36, 39] Generated Node #2: [90, 36, 39] from Operation: 32+7=39 Current State: 30:[90, 36, 39], Operations: ['32+7=39'] Exploring Operation: 39-36=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 39-36=3 Current State: 30:[90, 3], Operations: ['32+7=39', '39-36=3'] Exploring Operation: 90/3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 2, 84, 15, 46 ]
23
[ "2*46=92", "84-15=69", "92-69=23" ]
Current State: 23:[2, 84, 15, 46], Operations: [] Exploring Operation: 2*46=92, Resulting Numbers: [84, 15, 92] Generated Node #2: [84, 15, 92] from Operation: 2*46=92 Current State: 23:[84, 15, 92], Operations: ['2*46=92'] Exploring Operation: 84-15=69, Resulting Numbers: [92, 69] Generated Node #3: [92, 69] from Operation: 84-15=69 Current State: 23:[92, 69], Operations: ['2*46=92', '84-15=69'] Exploring Operation: 92-69=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 19, 55, 3, 13 ]
37
[ "19-13=6", "3*6=18", "55-18=37" ]
Current State: 37:[19, 55, 3, 13], Operations: [] Exploring Operation: 19-13=6, Resulting Numbers: [55, 3, 6] Generated Node #2: [55, 3, 6] from Operation: 19-13=6 Current State: 37:[55, 3, 6], Operations: ['19-13=6'] Exploring Operation: 3*6=18, Resulting Numbers: [55, 18] Generated Node #3: [55, 18] from Operation: 3*6=18 Current State: 37:[55, 18], Operations: ['19-13=6', '3*6=18'] Exploring Operation: 55-18=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 61, 53, 59, 85 ]
18
[ "61-53=8", "59+85=144", "144/8=18" ]
Current State: 18:[61, 53, 59, 85], Operations: [] Exploring Operation: 61-53=8, Resulting Numbers: [59, 85, 8] Generated Node #2: [59, 85, 8] from Operation: 61-53=8 Current State: 18:[59, 85, 8], Operations: ['61-53=8'] Exploring Operation: 59+85=144, Resulting Numbers: [8, 144] Generated Node #3: [8, 144] from Operation: 59+85=144 Current State: 18:[8, 144], Operations: ['61-53=8', '59+85=144'] Exploring Operation: 144/8=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 33, 78, 1, 35 ]
15
[ "33*35=1155", "78-1=77", "1155/77=15" ]
Current State: 15:[33, 78, 1, 35], Operations: [] Exploring Operation: 33*35=1155, Resulting Numbers: [78, 1, 1155] Generated Node #2: [78, 1, 1155] from Operation: 33*35=1155 Current State: 15:[78, 1, 1155], Operations: ['33*35=1155'] Exploring Operation: 78-1=77, Resulting Numbers: [1155, 77] Generated Node #3: [1155, 77] from Operation: 78-1=77 Current State: 15:[1155, 77], Operations: ['33*35=1155', '78-1=77'] Exploring Operation: 1155/77=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 60, 27, 88, 86 ]
93
[ "88-86=2", "60*2=120", "120-27=93" ]
Current State: 93:[60, 27, 88, 86], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [60, 27, 2] Generated Node #2: [60, 27, 2] from Operation: 88-86=2 Current State: 93:[60, 27, 2], Operations: ['88-86=2'] Exploring Operation: 60*2=120, Resulting Numbers: [27, 120] Generated Node #3: [27, 120] from Operation: 60*2=120 Current State: 93:[27, 120], Operations: ['88-86=2', '60*2=120'] Exploring Operation: 120-27=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 35, 31, 28, 61 ]
24
[ "61-31=30", "28*30=840", "840/35=24" ]
Current State: 24:[35, 31, 28, 61], Operations: [] Exploring Operation: 61-31=30, Resulting Numbers: [35, 28, 30] Generated Node #2: [35, 28, 30] from Operation: 61-31=30 Current State: 24:[35, 28, 30], Operations: ['61-31=30'] Exploring Operation: 28*30=840, Resulting Numbers: [35, 840] Generated Node #3: [35, 840] from Operation: 28*30=840 Current State: 24:[35, 840], Operations: ['61-31=30', '28*30=840'] Exploring Operation: 840/35=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 96, 36, 93, 84 ]
100
[ "93-84=9", "36/9=4", "96+4=100" ]
Current State: 100:[96, 36, 93, 84], Operations: [] Exploring Operation: 93-84=9, Resulting Numbers: [96, 36, 9] Generated Node #2: [96, 36, 9] from Operation: 93-84=9 Current State: 100:[96, 36, 9], Operations: ['93-84=9'] Exploring Operation: 36/9=4, Resulting Numbers: [96, 4] Generated Node #3: [96, 4] from Operation: 36/9=4 Current State: 100:[96, 4], Operations: ['93-84=9', '36/9=4'] Exploring Operation: 96+4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 72, 99, 6, 46 ]
67
[ "99-72=27", "46-6=40", "27+40=67" ]
Current State: 67:[72, 99, 6, 46], Operations: [] Exploring Operation: 99-72=27, Resulting Numbers: [6, 46, 27] Generated Node #2: [6, 46, 27] from Operation: 99-72=27 Current State: 67:[6, 46, 27], Operations: ['99-72=27'] Exploring Operation: 46-6=40, Resulting Numbers: [27, 40] Generated Node #3: [27, 40] from Operation: 46-6=40 Current State: 67:[27, 40], Operations: ['99-72=27', '46-6=40'] Exploring Operation: 27+40=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 61, 30, 70, 92 ]
69
[ "61+30=91", "92-70=22", "91-22=69" ]
Current State: 69:[61, 30, 70, 92], Operations: [] Exploring Operation: 61+30=91, Resulting Numbers: [70, 92, 91] Generated Node #2: [70, 92, 91] from Operation: 61+30=91 Current State: 69:[70, 92, 91], Operations: ['61+30=91'] Exploring Operation: 92-70=22, Resulting Numbers: [91, 22] Generated Node #3: [91, 22] from Operation: 92-70=22 Current State: 69:[91, 22], Operations: ['61+30=91', '92-70=22'] Exploring Operation: 91-22=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 84, 6, 90, 12 ]
67
[ "90+12=102", "102/6=17", "84-17=67" ]
Current State: 67:[84, 6, 90, 12], Operations: [] Exploring Operation: 90+12=102, Resulting Numbers: [84, 6, 102] Generated Node #2: [84, 6, 102] from Operation: 90+12=102 Current State: 67:[84, 6, 102], Operations: ['90+12=102'] Exploring Operation: 102/6=17, Resulting Numbers: [84, 17] Generated Node #3: [84, 17] from Operation: 102/6=17 Current State: 67:[84, 17], Operations: ['90+12=102', '102/6=17'] Exploring Operation: 84-17=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 28, 30, 28, 4 ]
64
[ "30-28=2", "28+4=32", "2*32=64" ]
Current State: 64:[28, 30, 28, 4], Operations: [] Exploring Operation: 30-28=2, Resulting Numbers: [4, 2] Generated Node #2: [4, 2] from Operation: 30-28=2 Current State: 64:[4, 2], Operations: ['30-28=2'] Exploring Operation: 28+4=32, Resulting Numbers: [2, 32] Generated Node #3: [2, 32] from Operation: 28+4=32 Current State: 64:[2, 32], Operations: ['30-28=2', '28+4=32'] Exploring Operation: 2*32=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 39, 18, 13, 61 ]
40
[ "39/13=3", "61-18=43", "43-3=40" ]
Current State: 40:[39, 18, 13, 61], Operations: [] Exploring Operation: 39/13=3, Resulting Numbers: [18, 61, 3] Generated Node #2: [18, 61, 3] from Operation: 39/13=3 Current State: 40:[18, 61, 3], Operations: ['39/13=3'] Exploring Operation: 61-18=43, Resulting Numbers: [3, 43] Generated Node #3: [3, 43] from Operation: 61-18=43 Current State: 40:[3, 43], Operations: ['39/13=3', '61-18=43'] Exploring Operation: 43-3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 40, 83, 9, 82 ]
31
[ "40-9=31", "83-82=1", "31*1=31" ]
Current State: 31:[40, 83, 9, 82], Operations: [] Exploring Operation: 40-9=31, Resulting Numbers: [83, 82, 31] Generated Node #2: [83, 82, 31] from Operation: 40-9=31 Current State: 31:[83, 82, 31], Operations: ['40-9=31'] Exploring Operation: 83-82=1, Resulting Numbers: [31, 1] Generated Node #3: [31, 1] from Operation: 83-82=1 Current State: 31:[31, 1], Operations: ['40-9=31', '83-82=1'] Exploring Operation: 31*1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 3, 61, 65, 21 ]
18
[ "21/3=7", "61+65=126", "126/7=18" ]
Current State: 18:[3, 61, 65, 21], Operations: [] Exploring Operation: 21/3=7, Resulting Numbers: [61, 65, 7] Generated Node #2: [61, 65, 7] from Operation: 21/3=7 Current State: 18:[61, 65, 7], Operations: ['21/3=7'] Exploring Operation: 61+65=126, Resulting Numbers: [7, 126] Generated Node #3: [7, 126] from Operation: 61+65=126 Current State: 18:[7, 126], Operations: ['21/3=7', '61+65=126'] Exploring Operation: 126/7=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 52, 40, 12, 49 ]
56
[ "49-40=9", "12*9=108", "108-52=56" ]
Current State: 56:[52, 40, 12, 49], Operations: [] Exploring Operation: 49-40=9, Resulting Numbers: [52, 12, 9] Generated Node #2: [52, 12, 9] from Operation: 49-40=9 Current State: 56:[52, 12, 9], Operations: ['49-40=9'] Exploring Operation: 12*9=108, Resulting Numbers: [52, 108] Generated Node #3: [52, 108] from Operation: 12*9=108 Current State: 56:[52, 108], Operations: ['49-40=9', '12*9=108'] Exploring Operation: 108-52=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 46, 93, 19, 73 ]
40
[ "93*19=1767", "73+1767=1840", "1840/46=40" ]
Current State: 40:[46, 93, 19, 73], Operations: [] Exploring Operation: 93*19=1767, Resulting Numbers: [46, 73, 1767] Generated Node #2: [46, 73, 1767] from Operation: 93*19=1767 Current State: 40:[46, 73, 1767], Operations: ['93*19=1767'] Exploring Operation: 73+1767=1840, Resulting Numbers: [46, 1840] Generated Node #3: [46, 1840] from Operation: 73+1767=1840 Current State: 40:[46, 1840], Operations: ['93*19=1767', '73+1767=1840'] Exploring Operation: 1840/46=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 14, 48, 35, 42 ]
58
[ "48*42=2016", "14+2016=2030", "2030/35=58" ]
Current State: 58:[14, 48, 35, 42], Operations: [] Exploring Operation: 48*42=2016, Resulting Numbers: [14, 35, 2016] Generated Node #2: [14, 35, 2016] from Operation: 48*42=2016 Current State: 58:[14, 35, 2016], Operations: ['48*42=2016'] Exploring Operation: 14+2016=2030, Resulting Numbers: [35, 2030] Generated Node #3: [35, 2030] from Operation: 14+2016=2030 Current State: 58:[35, 2030], Operations: ['48*42=2016', '14+2016=2030'] Exploring Operation: 2030/35=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 8, 10, 38, 30 ]
11
[ "10-8=2", "38/2=19", "30-19=11" ]
Current State: 11:[8, 10, 38, 30], Operations: [] Exploring Operation: 10-8=2, Resulting Numbers: [38, 30, 2] Generated Node #2: [38, 30, 2] from Operation: 10-8=2 Current State: 11:[38, 30, 2], Operations: ['10-8=2'] Exploring Operation: 38/2=19, Resulting Numbers: [30, 19] Generated Node #3: [30, 19] from Operation: 38/2=19 Current State: 11:[30, 19], Operations: ['10-8=2', '38/2=19'] Exploring Operation: 30-19=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 37, 93, 3, 50 ]
32
[ "37*3=111", "93+50=143", "143-111=32" ]
Current State: 32:[37, 93, 3, 50], Operations: [] Exploring Operation: 37*3=111, Resulting Numbers: [93, 50, 111] Generated Node #2: [93, 50, 111] from Operation: 37*3=111 Current State: 32:[93, 50, 111], Operations: ['37*3=111'] Exploring Operation: 93+50=143, Resulting Numbers: [111, 143] Generated Node #3: [111, 143] from Operation: 93+50=143 Current State: 32:[111, 143], Operations: ['37*3=111', '93+50=143'] Exploring Operation: 143-111=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 47, 6, 18, 92 ]
69
[ "47-6=41", "18+92=110", "110-41=69" ]
Current State: 69:[47, 6, 18, 92], Operations: [] Exploring Operation: 47-6=41, Resulting Numbers: [18, 92, 41] Generated Node #2: [18, 92, 41] from Operation: 47-6=41 Current State: 69:[18, 92, 41], Operations: ['47-6=41'] Exploring Operation: 18+92=110, Resulting Numbers: [41, 110] Generated Node #3: [41, 110] from Operation: 18+92=110 Current State: 69:[41, 110], Operations: ['47-6=41', '18+92=110'] Exploring Operation: 110-41=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 99, 92, 22, 88 ]
59
[ "99-92=7", "88-22=66", "66-7=59" ]
Current State: 59:[99, 92, 22, 88], Operations: [] Exploring Operation: 99-92=7, Resulting Numbers: [22, 88, 7] Generated Node #2: [22, 88, 7] from Operation: 99-92=7 Current State: 59:[22, 88, 7], Operations: ['99-92=7'] Exploring Operation: 88-22=66, Resulting Numbers: [7, 66] Generated Node #3: [7, 66] from Operation: 88-22=66 Current State: 59:[7, 66], Operations: ['99-92=7', '88-22=66'] Exploring Operation: 66-7=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 81, 29, 72, 38 ]
86
[ "81-29=52", "72-38=34", "52+34=86" ]
Current State: 86:[81, 29, 72, 38], Operations: [] Exploring Operation: 81-29=52, Resulting Numbers: [72, 38, 52] Generated Node #2: [72, 38, 52] from Operation: 81-29=52 Current State: 86:[72, 38, 52], Operations: ['81-29=52'] Exploring Operation: 72-38=34, Resulting Numbers: [52, 34] Generated Node #3: [52, 34] from Operation: 72-38=34 Current State: 86:[52, 34], Operations: ['81-29=52', '72-38=34'] Exploring Operation: 52+34=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 51, 89, 9, 55 ]
84
[ "89-51=38", "55-9=46", "38+46=84" ]
Current State: 84:[51, 89, 9, 55], Operations: [] Exploring Operation: 89-51=38, Resulting Numbers: [9, 55, 38] Generated Node #2: [9, 55, 38] from Operation: 89-51=38 Current State: 84:[9, 55, 38], Operations: ['89-51=38'] Exploring Operation: 55-9=46, Resulting Numbers: [38, 46] Generated Node #3: [38, 46] from Operation: 55-9=46 Current State: 84:[38, 46], Operations: ['89-51=38', '55-9=46'] Exploring Operation: 38+46=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 28, 60, 22, 16 ]
26
[ "60-28=32", "22-16=6", "32-6=26" ]
Current State: 26:[28, 60, 22, 16], Operations: [] Exploring Operation: 60-28=32, Resulting Numbers: [22, 16, 32] Generated Node #2: [22, 16, 32] from Operation: 60-28=32 Current State: 26:[22, 16, 32], Operations: ['60-28=32'] Exploring Operation: 22-16=6, Resulting Numbers: [32, 6] Generated Node #3: [32, 6] from Operation: 22-16=6 Current State: 26:[32, 6], Operations: ['60-28=32', '22-16=6'] Exploring Operation: 32-6=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 80, 15, 77, 34 ]
39
[ "80-77=3", "15/3=5", "34+5=39" ]
Current State: 39:[80, 15, 77, 34], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [15, 34, 3] Generated Node #2: [15, 34, 3] from Operation: 80-77=3 Current State: 39:[15, 34, 3], Operations: ['80-77=3'] Exploring Operation: 15/3=5, Resulting Numbers: [34, 5] Generated Node #3: [34, 5] from Operation: 15/3=5 Current State: 39:[34, 5], Operations: ['80-77=3', '15/3=5'] Exploring Operation: 34+5=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 21, 18, 12, 4 ]
51
[ "21-18=3", "12*4=48", "3+48=51" ]
Current State: 51:[21, 18, 12, 4], Operations: [] Exploring Operation: 21-18=3, Resulting Numbers: [12, 4, 3] Generated Node #2: [12, 4, 3] from Operation: 21-18=3 Current State: 51:[12, 4, 3], Operations: ['21-18=3'] Exploring Operation: 12*4=48, Resulting Numbers: [3, 48] Generated Node #3: [3, 48] from Operation: 12*4=48 Current State: 51:[3, 48], Operations: ['21-18=3', '12*4=48'] Exploring Operation: 3+48=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 50, 16, 10, 2 ]
68
[ "50+10=60", "16/2=8", "60+8=68" ]
Current State: 68:[50, 16, 10, 2], Operations: [] Exploring Operation: 50+10=60, Resulting Numbers: [16, 2, 60] Generated Node #2: [16, 2, 60] from Operation: 50+10=60 Current State: 68:[16, 2, 60], Operations: ['50+10=60'] Exploring Operation: 16/2=8, Resulting Numbers: [60, 8] Generated Node #3: [60, 8] from Operation: 16/2=8 Current State: 68:[60, 8], Operations: ['50+10=60', '16/2=8'] Exploring Operation: 60+8=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 80, 52, 3, 40 ]
46
[ "80*3=240", "240/40=6", "52-6=46" ]
Current State: 46:[80, 52, 3, 40], Operations: [] Exploring Operation: 80*3=240, Resulting Numbers: [52, 40, 240] Generated Node #2: [52, 40, 240] from Operation: 80*3=240 Current State: 46:[52, 40, 240], Operations: ['80*3=240'] Exploring Operation: 240/40=6, Resulting Numbers: [52, 6] Generated Node #3: [52, 6] from Operation: 240/40=6 Current State: 46:[52, 6], Operations: ['80*3=240', '240/40=6'] Exploring Operation: 52-6=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 12, 14, 3, 28 ]
38
[ "12*3=36", "28/14=2", "36+2=38" ]
Current State: 38:[12, 14, 3, 28], Operations: [] Exploring Operation: 12*3=36, Resulting Numbers: [14, 28, 36] Generated Node #2: [14, 28, 36] from Operation: 12*3=36 Current State: 38:[14, 28, 36], Operations: ['12*3=36'] Exploring Operation: 28/14=2, Resulting Numbers: [36, 2] Generated Node #3: [36, 2] from Operation: 28/14=2 Current State: 38:[36, 2], Operations: ['12*3=36', '28/14=2'] Exploring Operation: 36+2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 64, 46, 6, 69 ]
90
[ "64*69=4416", "4416/46=96", "96-6=90" ]
Current State: 90:[64, 46, 6, 69], Operations: [] Exploring Operation: 64*69=4416, Resulting Numbers: [46, 6, 4416] Generated Node #2: [46, 6, 4416] from Operation: 64*69=4416 Current State: 90:[46, 6, 4416], Operations: ['64*69=4416'] Exploring Operation: 4416/46=96, Resulting Numbers: [6, 96] Generated Node #3: [6, 96] from Operation: 4416/46=96 Current State: 90:[6, 96], Operations: ['64*69=4416', '4416/46=96'] Exploring Operation: 96-6=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 54, 11, 6, 52 ]
64
[ "54-52=2", "11*6=66", "66-2=64" ]
Current State: 64:[54, 11, 6, 52], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [11, 6, 2] Generated Node #2: [11, 6, 2] from Operation: 54-52=2 Current State: 64:[11, 6, 2], Operations: ['54-52=2'] Exploring Operation: 11*6=66, Resulting Numbers: [2, 66] Generated Node #3: [2, 66] from Operation: 11*6=66 Current State: 64:[2, 66], Operations: ['54-52=2', '11*6=66'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 69, 86, 85, 42 ]
60
[ "86-69=17", "85-42=43", "17+43=60" ]
Current State: 60:[69, 86, 85, 42], Operations: [] Exploring Operation: 86-69=17, Resulting Numbers: [85, 42, 17] Generated Node #2: [85, 42, 17] from Operation: 86-69=17 Current State: 60:[85, 42, 17], Operations: ['86-69=17'] Exploring Operation: 85-42=43, Resulting Numbers: [17, 43] Generated Node #3: [17, 43] from Operation: 85-42=43 Current State: 60:[17, 43], Operations: ['86-69=17', '85-42=43'] Exploring Operation: 17+43=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 41, 20, 70, 9 ]
28
[ "41+9=50", "20*70=1400", "1400/50=28" ]
Current State: 28:[41, 20, 70, 9], Operations: [] Exploring Operation: 41+9=50, Resulting Numbers: [20, 70, 50] Generated Node #2: [20, 70, 50] from Operation: 41+9=50 Current State: 28:[20, 70, 50], Operations: ['41+9=50'] Exploring Operation: 20*70=1400, Resulting Numbers: [50, 1400] Generated Node #3: [50, 1400] from Operation: 20*70=1400 Current State: 28:[50, 1400], Operations: ['41+9=50', '20*70=1400'] Exploring Operation: 1400/50=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 30, 19, 49, 56 ]
42
[ "30+19=49", "56-49=7", "49-7=42" ]
Current State: 42:[30, 19, 49, 56], Operations: [] Exploring Operation: 30+19=49, Resulting Numbers: [49, 56, 49] Generated Node #2: [49, 56, 49] from Operation: 30+19=49 Current State: 42:[49, 56, 49], Operations: ['30+19=49'] Exploring Operation: 56-49=7, Resulting Numbers: [7] 7,42 equal: Goal Reached Exploring Operation: 49-7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 89, 92, 77, 99 ]
25
[ "92-89=3", "99-77=22", "3+22=25" ]
Current State: 25:[89, 92, 77, 99], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [77, 99, 3] Generated Node #2: [77, 99, 3] from Operation: 92-89=3 Current State: 25:[77, 99, 3], Operations: ['92-89=3'] Exploring Operation: 99-77=22, Resulting Numbers: [3, 22] Generated Node #3: [3, 22] from Operation: 99-77=22 Current State: 25:[3, 22], Operations: ['92-89=3', '99-77=22'] Exploring Operation: 3+22=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 68, 15, 41, 43 ]
31
[ "68-15=53", "41+43=84", "84-53=31" ]
Current State: 31:[68, 15, 41, 43], Operations: [] Exploring Operation: 68-15=53, Resulting Numbers: [41, 43, 53] Generated Node #2: [41, 43, 53] from Operation: 68-15=53 Current State: 31:[41, 43, 53], Operations: ['68-15=53'] Exploring Operation: 41+43=84, Resulting Numbers: [53, 84] Generated Node #3: [53, 84] from Operation: 41+43=84 Current State: 31:[53, 84], Operations: ['68-15=53', '41+43=84'] Exploring Operation: 84-53=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 22, 79, 34, 44 ]
91
[ "22+79=101", "44-34=10", "101-10=91" ]
Current State: 91:[22, 79, 34, 44], Operations: [] Exploring Operation: 22+79=101, Resulting Numbers: [34, 44, 101] Generated Node #2: [34, 44, 101] from Operation: 22+79=101 Current State: 91:[34, 44, 101], Operations: ['22+79=101'] Exploring Operation: 44-34=10, Resulting Numbers: [101, 10] Generated Node #3: [101, 10] from Operation: 44-34=10 Current State: 91:[101, 10], Operations: ['22+79=101', '44-34=10'] Exploring Operation: 101-10=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 6, 93, 63, 33 ]
87
[ "63-33=30", "6*30=180", "180-93=87" ]
Current State: 87:[6, 93, 63, 33], Operations: [] Exploring Operation: 63-33=30, Resulting Numbers: [6, 93, 30] Generated Node #2: [6, 93, 30] from Operation: 63-33=30 Current State: 87:[6, 93, 30], Operations: ['63-33=30'] Exploring Operation: 6*30=180, Resulting Numbers: [93, 180] Generated Node #3: [93, 180] from Operation: 6*30=180 Current State: 87:[93, 180], Operations: ['63-33=30', '6*30=180'] Exploring Operation: 180-93=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 45, 32, 66, 48 ]
54
[ "48-45=3", "66/3=22", "32+22=54" ]
Current State: 54:[45, 32, 66, 48], Operations: [] Exploring Operation: 48-45=3, Resulting Numbers: [32, 66, 3] Generated Node #2: [32, 66, 3] from Operation: 48-45=3 Current State: 54:[32, 66, 3], Operations: ['48-45=3'] Exploring Operation: 66/3=22, Resulting Numbers: [32, 22] Generated Node #3: [32, 22] from Operation: 66/3=22 Current State: 54:[32, 22], Operations: ['48-45=3', '66/3=22'] Exploring Operation: 32+22=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 5, 48, 92, 14 ]
70
[ "5*14=70", "48+92=140", "140-70=70" ]
Current State: 70:[5, 48, 92, 14], Operations: [] Exploring Operation: 5*14=70, Resulting Numbers: [48, 92, 70] Generated Node #2: [48, 92, 70] from Operation: 5*14=70 Current State: 70:[48, 92, 70], Operations: ['5*14=70'] Exploring Operation: 48+92=140, Resulting Numbers: [70, 140] Generated Node #3: [70, 140] from Operation: 48+92=140 Current State: 70:[70, 140], Operations: ['5*14=70', '48+92=140'] Exploring Operation: 140-70=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 13, 25, 41, 75 ]
80
[ "13*75=975", "975/25=39", "41+39=80" ]
Current State: 80:[13, 25, 41, 75], Operations: [] Exploring Operation: 13*75=975, Resulting Numbers: [25, 41, 975] Generated Node #2: [25, 41, 975] from Operation: 13*75=975 Current State: 80:[25, 41, 975], Operations: ['13*75=975'] Exploring Operation: 975/25=39, Resulting Numbers: [41, 39] Generated Node #3: [41, 39] from Operation: 975/25=39 Current State: 80:[41, 39], Operations: ['13*75=975', '975/25=39'] Exploring Operation: 41+39=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 90, 26, 87, 70 ]
10
[ "87-26=61", "70-61=9", "90/9=10" ]
Current State: 10:[90, 26, 87, 70], Operations: [] Exploring Operation: 87-26=61, Resulting Numbers: [90, 70, 61] Generated Node #2: [90, 70, 61] from Operation: 87-26=61 Current State: 10:[90, 70, 61], Operations: ['87-26=61'] Exploring Operation: 70-61=9, Resulting Numbers: [90, 9] Generated Node #3: [90, 9] from Operation: 70-61=9 Current State: 10:[90, 9], Operations: ['87-26=61', '70-61=9'] Exploring Operation: 90/9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 98, 94, 43, 28 ]
60
[ "98-94=4", "43-28=15", "4*15=60" ]
Current State: 60:[98, 94, 43, 28], Operations: [] Exploring Operation: 98-94=4, Resulting Numbers: [43, 28, 4] Generated Node #2: [43, 28, 4] from Operation: 98-94=4 Current State: 60:[43, 28, 4], Operations: ['98-94=4'] Exploring Operation: 43-28=15, Resulting Numbers: [4, 15] Generated Node #3: [4, 15] from Operation: 43-28=15 Current State: 60:[4, 15], Operations: ['98-94=4', '43-28=15'] Exploring Operation: 4*15=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 11, 5, 64, 86 ]
71
[ "11+64=75", "75/5=15", "86-15=71" ]
Current State: 71:[11, 5, 64, 86], Operations: [] Exploring Operation: 11+64=75, Resulting Numbers: [5, 86, 75] Generated Node #2: [5, 86, 75] from Operation: 11+64=75 Current State: 71:[5, 86, 75], Operations: ['11+64=75'] Exploring Operation: 75/5=15, Resulting Numbers: [86, 15] Generated Node #3: [86, 15] from Operation: 75/5=15 Current State: 71:[86, 15], Operations: ['11+64=75', '75/5=15'] Exploring Operation: 86-15=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 28, 96, 70, 56 ]
22
[ "28*96=2688", "2688/56=48", "70-48=22" ]
Current State: 22:[28, 96, 70, 56], Operations: [] Exploring Operation: 28*96=2688, Resulting Numbers: [70, 56, 2688] Generated Node #2: [70, 56, 2688] from Operation: 28*96=2688 Current State: 22:[70, 56, 2688], Operations: ['28*96=2688'] Exploring Operation: 2688/56=48, Resulting Numbers: [70, 48] Generated Node #3: [70, 48] from Operation: 2688/56=48 Current State: 22:[70, 48], Operations: ['28*96=2688', '2688/56=48'] Exploring Operation: 70-48=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 11, 1, 5, 4 ]
21
[ "11+1=12", "5+4=9", "12+9=21" ]
Current State: 21:[11, 1, 5, 4], Operations: [] Exploring Operation: 11+1=12, Resulting Numbers: [5, 4, 12] Generated Node #2: [5, 4, 12] from Operation: 11+1=12 Current State: 21:[5, 4, 12], Operations: ['11+1=12'] Exploring Operation: 5+4=9, Resulting Numbers: [12, 9] Generated Node #3: [12, 9] from Operation: 5+4=9 Current State: 21:[12, 9], Operations: ['11+1=12', '5+4=9'] Exploring Operation: 12+9=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 68, 3, 39, 30 ]
18
[ "68-3=65", "39*30=1170", "1170/65=18" ]
Current State: 18:[68, 3, 39, 30], Operations: [] Exploring Operation: 68-3=65, Resulting Numbers: [39, 30, 65] Generated Node #2: [39, 30, 65] from Operation: 68-3=65 Current State: 18:[39, 30, 65], Operations: ['68-3=65'] Exploring Operation: 39*30=1170, Resulting Numbers: [65, 1170] Generated Node #3: [65, 1170] from Operation: 39*30=1170 Current State: 18:[65, 1170], Operations: ['68-3=65', '39*30=1170'] Exploring Operation: 1170/65=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 28, 99, 64, 65 ]
72
[ "99-28=71", "65-64=1", "71+1=72" ]
Current State: 72:[28, 99, 64, 65], Operations: [] Exploring Operation: 99-28=71, Resulting Numbers: [64, 65, 71] Generated Node #2: [64, 65, 71] from Operation: 99-28=71 Current State: 72:[64, 65, 71], Operations: ['99-28=71'] Exploring Operation: 65-64=1, Resulting Numbers: [71, 1] Generated Node #3: [71, 1] from Operation: 65-64=1 Current State: 72:[71, 1], Operations: ['99-28=71', '65-64=1'] Exploring Operation: 71+1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 82, 69, 45, 2 ]
73
[ "82/2=41", "69+45=114", "114-41=73" ]
Current State: 73:[82, 69, 45, 2], Operations: [] Exploring Operation: 82/2=41, Resulting Numbers: [69, 45, 41] Generated Node #2: [69, 45, 41] from Operation: 82/2=41 Current State: 73:[69, 45, 41], Operations: ['82/2=41'] Exploring Operation: 69+45=114, Resulting Numbers: [41, 114] Generated Node #3: [41, 114] from Operation: 69+45=114 Current State: 73:[41, 114], Operations: ['82/2=41', '69+45=114'] Exploring Operation: 114-41=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 5, 56, 64, 39 ]
21
[ "56-39=17", "5*17=85", "85-64=21" ]
Current State: 21:[5, 56, 64, 39], Operations: [] Exploring Operation: 56-39=17, Resulting Numbers: [5, 64, 17] Generated Node #2: [5, 64, 17] from Operation: 56-39=17 Current State: 21:[5, 64, 17], Operations: ['56-39=17'] Exploring Operation: 5*17=85, Resulting Numbers: [64, 85] Generated Node #3: [64, 85] from Operation: 5*17=85 Current State: 21:[64, 85], Operations: ['56-39=17', '5*17=85'] Exploring Operation: 85-64=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 93, 26, 75, 17 ]
61
[ "93+26=119", "75-17=58", "119-58=61" ]
Current State: 61:[93, 26, 75, 17], Operations: [] Exploring Operation: 93+26=119, Resulting Numbers: [75, 17, 119] Generated Node #2: [75, 17, 119] from Operation: 93+26=119 Current State: 61:[75, 17, 119], Operations: ['93+26=119'] Exploring Operation: 75-17=58, Resulting Numbers: [119, 58] Generated Node #3: [119, 58] from Operation: 75-17=58 Current State: 61:[119, 58], Operations: ['93+26=119', '75-17=58'] Exploring Operation: 119-58=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 6, 10, 92, 20 ]
23
[ "6+10=16", "20-16=4", "92/4=23" ]
Current State: 23:[6, 10, 92, 20], Operations: [] Exploring Operation: 6+10=16, Resulting Numbers: [92, 20, 16] Generated Node #2: [92, 20, 16] from Operation: 6+10=16 Current State: 23:[92, 20, 16], Operations: ['6+10=16'] Exploring Operation: 20-16=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation: 20-16=4 Current State: 23:[92, 4], Operations: ['6+10=16', '20-16=4'] Exploring Operation: 92/4=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 2, 6, 32, 51 ]
78
[ "2*32=64", "64-51=13", "6*13=78" ]
Current State: 78:[2, 6, 32, 51], Operations: [] Exploring Operation: 2*32=64, Resulting Numbers: [6, 51, 64] Generated Node #2: [6, 51, 64] from Operation: 2*32=64 Current State: 78:[6, 51, 64], Operations: ['2*32=64'] Exploring Operation: 64-51=13, Resulting Numbers: [6, 13] Generated Node #3: [6, 13] from Operation: 64-51=13 Current State: 78:[6, 13], Operations: ['2*32=64', '64-51=13'] Exploring Operation: 6*13=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 86, 85, 8, 24 ]
17
[ "86-85=1", "24-8=16", "1+16=17" ]
Current State: 17:[86, 85, 8, 24], Operations: [] Exploring Operation: 86-85=1, Resulting Numbers: [8, 24, 1] Generated Node #2: [8, 24, 1] from Operation: 86-85=1 Current State: 17:[8, 24, 1], Operations: ['86-85=1'] Exploring Operation: 24-8=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 24-8=16 Current State: 17:[1, 16], Operations: ['86-85=1', '24-8=16'] Exploring Operation: 1+16=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 18, 78, 30, 40 ]
50
[ "78-18=60", "40-30=10", "60-10=50" ]
Current State: 50:[18, 78, 30, 40], Operations: [] Exploring Operation: 78-18=60, Resulting Numbers: [30, 40, 60] Generated Node #2: [30, 40, 60] from Operation: 78-18=60 Current State: 50:[30, 40, 60], Operations: ['78-18=60'] Exploring Operation: 40-30=10, Resulting Numbers: [60, 10] Generated Node #3: [60, 10] from Operation: 40-30=10 Current State: 50:[60, 10], Operations: ['78-18=60', '40-30=10'] Exploring Operation: 60-10=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 48, 34, 36, 3 ]
99
[ "36-34=2", "48*2=96", "3+96=99" ]
Current State: 99:[48, 34, 36, 3], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [48, 3, 2] Generated Node #2: [48, 3, 2] from Operation: 36-34=2 Current State: 99:[48, 3, 2], Operations: ['36-34=2'] Exploring Operation: 48*2=96, Resulting Numbers: [3, 96] Generated Node #3: [3, 96] from Operation: 48*2=96 Current State: 99:[3, 96], Operations: ['36-34=2', '48*2=96'] Exploring Operation: 3+96=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 67, 38, 78, 86 ]
97
[ "67+38=105", "86-78=8", "105-8=97" ]
Current State: 97:[67, 38, 78, 86], Operations: [] Exploring Operation: 67+38=105, Resulting Numbers: [78, 86, 105] Generated Node #2: [78, 86, 105] from Operation: 67+38=105 Current State: 97:[78, 86, 105], Operations: ['67+38=105'] Exploring Operation: 86-78=8, Resulting Numbers: [105, 8] Generated Node #3: [105, 8] from Operation: 86-78=8 Current State: 97:[105, 8], Operations: ['67+38=105', '86-78=8'] Exploring Operation: 105-8=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 68, 85, 1, 73 ]
90
[ "85-68=17", "1*73=73", "17+73=90" ]
Current State: 90:[68, 85, 1, 73], Operations: [] Exploring Operation: 85-68=17, Resulting Numbers: [1, 73, 17] Generated Node #2: [1, 73, 17] from Operation: 85-68=17 Current State: 90:[1, 73, 17], Operations: ['85-68=17'] Exploring Operation: 1*73=73, Resulting Numbers: [17, 73] Generated Node #3: [17, 73] from Operation: 1*73=73 Current State: 90:[17, 73], Operations: ['85-68=17', '1*73=73'] Exploring Operation: 17+73=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 24, 65, 75, 60 ]
40
[ "65+60=125", "24*125=3000", "3000/75=40" ]
Current State: 40:[24, 65, 75, 60], Operations: [] Exploring Operation: 65+60=125, Resulting Numbers: [24, 75, 125] Generated Node #2: [24, 75, 125] from Operation: 65+60=125 Current State: 40:[24, 75, 125], Operations: ['65+60=125'] Exploring Operation: 24*125=3000, Resulting Numbers: [75, 3000] Generated Node #3: [75, 3000] from Operation: 24*125=3000 Current State: 40:[75, 3000], Operations: ['65+60=125', '24*125=3000'] Exploring Operation: 3000/75=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 25, 5, 47, 9 ]
36
[ "25-5=20", "47+9=56", "56-20=36" ]
Current State: 36:[25, 5, 47, 9], Operations: [] Exploring Operation: 25-5=20, Resulting Numbers: [47, 9, 20] Generated Node #2: [47, 9, 20] from Operation: 25-5=20 Current State: 36:[47, 9, 20], Operations: ['25-5=20'] Exploring Operation: 47+9=56, Resulting Numbers: [20, 56] Generated Node #3: [20, 56] from Operation: 47+9=56 Current State: 36:[20, 56], Operations: ['25-5=20', '47+9=56'] Exploring Operation: 56-20=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 81, 10, 49, 27 ]
13
[ "81/27=3", "49-10=39", "39/3=13" ]
Current State: 13:[81, 10, 49, 27], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [10, 49, 3] Generated Node #2: [10, 49, 3] from Operation: 81/27=3 Current State: 13:[10, 49, 3], Operations: ['81/27=3'] Exploring Operation: 49-10=39, Resulting Numbers: [3, 39] Generated Node #3: [3, 39] from Operation: 49-10=39 Current State: 13:[3, 39], Operations: ['81/27=3', '49-10=39'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 70, 31, 99, 88 ]
44
[ "70+31=101", "101-99=2", "88/2=44" ]
Current State: 44:[70, 31, 99, 88], Operations: [] Exploring Operation: 70+31=101, Resulting Numbers: [99, 88, 101] Generated Node #2: [99, 88, 101] from Operation: 70+31=101 Current State: 44:[99, 88, 101], Operations: ['70+31=101'] Exploring Operation: 101-99=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 101-99=2 Current State: 44:[88, 2], Operations: ['70+31=101', '101-99=2'] Exploring Operation: 88/2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 53, 10, 2, 19 ]
48
[ "53-10=43", "43-19=24", "2*24=48" ]
Current State: 48:[53, 10, 2, 19], Operations: [] Exploring Operation: 53-10=43, Resulting Numbers: [2, 19, 43] Generated Node #2: [2, 19, 43] from Operation: 53-10=43 Current State: 48:[2, 19, 43], Operations: ['53-10=43'] Exploring Operation: 43-19=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operation: 43-19=24 Current State: 48:[2, 24], Operations: ['53-10=43', '43-19=24'] Exploring Operation: 2*24=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 79, 73, 2, 35 ]
51
[ "79-35=44", "44/2=22", "73-22=51" ]
Current State: 51:[79, 73, 2, 35], Operations: [] Exploring Operation: 79-35=44, Resulting Numbers: [73, 2, 44] Generated Node #2: [73, 2, 44] from Operation: 79-35=44 Current State: 51:[73, 2, 44], Operations: ['79-35=44'] Exploring Operation: 44/2=22, Resulting Numbers: [73, 22] Generated Node #3: [73, 22] from Operation: 44/2=22 Current State: 51:[73, 22], Operations: ['79-35=44', '44/2=22'] Exploring Operation: 73-22=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 31, 96, 1, 44 ]
41
[ "31+1=32", "96/32=3", "44-3=41" ]
Current State: 41:[31, 96, 1, 44], Operations: [] Exploring Operation: 31+1=32, Resulting Numbers: [96, 44, 32] Generated Node #2: [96, 44, 32] from Operation: 31+1=32 Current State: 41:[96, 44, 32], Operations: ['31+1=32'] Exploring Operation: 96/32=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 96/32=3 Current State: 41:[44, 3], Operations: ['31+1=32', '96/32=3'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 47, 8, 89, 27 ]
44
[ "47+89=136", "136/8=17", "27+17=44" ]
Current State: 44:[47, 8, 89, 27], Operations: [] Exploring Operation: 47+89=136, Resulting Numbers: [8, 27, 136] Generated Node #2: [8, 27, 136] from Operation: 47+89=136 Current State: 44:[8, 27, 136], Operations: ['47+89=136'] Exploring Operation: 136/8=17, Resulting Numbers: [27, 17] Generated Node #3: [27, 17] from Operation: 136/8=17 Current State: 44:[27, 17], Operations: ['47+89=136', '136/8=17'] Exploring Operation: 27+17=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 35, 22, 41, 54 ]
78
[ "41-35=6", "22*6=132", "132-54=78" ]
Current State: 78:[35, 22, 41, 54], Operations: [] Exploring Operation: 41-35=6, Resulting Numbers: [22, 54, 6] Generated Node #2: [22, 54, 6] from Operation: 41-35=6 Current State: 78:[22, 54, 6], Operations: ['41-35=6'] Exploring Operation: 22*6=132, Resulting Numbers: [54, 132] Generated Node #3: [54, 132] from Operation: 22*6=132 Current State: 78:[54, 132], Operations: ['41-35=6', '22*6=132'] Exploring Operation: 132-54=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 74, 21, 97, 74 ]
75
[ "74/74=1", "97-21=76", "76-1=75" ]
Current State: 75:[74, 21, 97, 74], Operations: [] Exploring Operation: 74/74=1, Resulting Numbers: [21, 97, 1] Generated Node #2: [21, 97, 1] from Operation: 74/74=1 Current State: 75:[21, 97, 1], Operations: ['74/74=1'] Exploring Operation: 97-21=76, Resulting Numbers: [1, 76] Generated Node #3: [1, 76] from Operation: 97-21=76 Current State: 75:[1, 76], Operations: ['74/74=1', '97-21=76'] Exploring Operation: 76-1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 86, 82, 67, 82 ]
19
[ "86+82=168", "67+82=149", "168-149=19" ]
Current State: 19:[86, 82, 67, 82], Operations: [] Exploring Operation: 86+82=168, Resulting Numbers: [67, 168] Generated Node #2: [67, 168] from Operation: 86+82=168 Current State: 19:[67, 168], Operations: ['86+82=168'] Exploring Operation: 67+82=149, Resulting Numbers: [168, 149] Generated Node #3: [168, 149] from Operation: 67+82=149 Current State: 19:[168, 149], Operations: ['86+82=168', '67+82=149'] Exploring Operation: 168-149=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 74, 11, 57, 92 ]
50
[ "74+11=85", "92-57=35", "85-35=50" ]
Current State: 50:[74, 11, 57, 92], Operations: [] Exploring Operation: 74+11=85, Resulting Numbers: [57, 92, 85] Generated Node #2: [57, 92, 85] from Operation: 74+11=85 Current State: 50:[57, 92, 85], Operations: ['74+11=85'] Exploring Operation: 92-57=35, Resulting Numbers: [85, 35] Generated Node #3: [85, 35] from Operation: 92-57=35 Current State: 50:[85, 35], Operations: ['74+11=85', '92-57=35'] Exploring Operation: 85-35=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 42, 64, 93, 18 ]
97
[ "64-42=22", "93-18=75", "22+75=97" ]
Current State: 97:[42, 64, 93, 18], Operations: [] Exploring Operation: 64-42=22, Resulting Numbers: [93, 18, 22] Generated Node #2: [93, 18, 22] from Operation: 64-42=22 Current State: 97:[93, 18, 22], Operations: ['64-42=22'] Exploring Operation: 93-18=75, Resulting Numbers: [22, 75] Generated Node #3: [22, 75] from Operation: 93-18=75 Current State: 97:[22, 75], Operations: ['64-42=22', '93-18=75'] Exploring Operation: 22+75=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 47, 47, 60, 48 ]
12
[ "47-47=0", "60-48=12", "0+12=12" ]
Current State: 12:[47, 47, 60, 48], Operations: [] Exploring Operation: 47-47=0, Resulting Numbers: [60, 48, 0] Generated Node #2: [60, 48, 0] from Operation: 47-47=0 Current State: 12:[60, 48, 0], Operations: ['47-47=0'] Exploring Operation: 60-48=12, Resulting Numbers: [0, 12] Generated Node #3: [0, 12] from Operation: 60-48=12 Current State: 12:[0, 12], Operations: ['47-47=0', '60-48=12'] Exploring Operation: 0+12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 41, 2, 34, 58 ]
82
[ "41+58=99", "34/2=17", "99-17=82" ]
Current State: 82:[41, 2, 34, 58], Operations: [] Exploring Operation: 41+58=99, Resulting Numbers: [2, 34, 99] Generated Node #2: [2, 34, 99] from Operation: 41+58=99 Current State: 82:[2, 34, 99], Operations: ['41+58=99'] Exploring Operation: 34/2=17, Resulting Numbers: [99, 17] Generated Node #3: [99, 17] from Operation: 34/2=17 Current State: 82:[99, 17], Operations: ['41+58=99', '34/2=17'] Exploring Operation: 99-17=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 1, 38, 11, 89 ]
62
[ "1*38=38", "11+89=100", "100-38=62" ]
Current State: 62:[1, 38, 11, 89], Operations: [] Exploring Operation: 1*38=38, Resulting Numbers: [11, 89, 38] Generated Node #2: [11, 89, 38] from Operation: 1*38=38 Current State: 62:[11, 89, 38], Operations: ['1*38=38'] Exploring Operation: 11+89=100, Resulting Numbers: [38, 100] Generated Node #3: [38, 100] from Operation: 11+89=100 Current State: 62:[38, 100], Operations: ['1*38=38', '11+89=100'] Exploring Operation: 100-38=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 85, 33, 59, 89 ]
82
[ "85-33=52", "89-59=30", "52+30=82" ]
Current State: 82:[85, 33, 59, 89], Operations: [] Exploring Operation: 85-33=52, Resulting Numbers: [59, 89, 52] Generated Node #2: [59, 89, 52] from Operation: 85-33=52 Current State: 82:[59, 89, 52], Operations: ['85-33=52'] Exploring Operation: 89-59=30, Resulting Numbers: [52, 30] Generated Node #3: [52, 30] from Operation: 89-59=30 Current State: 82:[52, 30], Operations: ['85-33=52', '89-59=30'] Exploring Operation: 52+30=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 37, 34, 6, 98 ]
33
[ "37+34=71", "6+98=104", "104-71=33" ]
Current State: 33:[37, 34, 6, 98], Operations: [] Exploring Operation: 37+34=71, Resulting Numbers: [6, 98, 71] Generated Node #2: [6, 98, 71] from Operation: 37+34=71 Current State: 33:[6, 98, 71], Operations: ['37+34=71'] Exploring Operation: 6+98=104, Resulting Numbers: [71, 104] Generated Node #3: [71, 104] from Operation: 6+98=104 Current State: 33:[71, 104], Operations: ['37+34=71', '6+98=104'] Exploring Operation: 104-71=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 83, 7, 35, 3 ]
58
[ "83+7=90", "35-3=32", "90-32=58" ]
Current State: 58:[83, 7, 35, 3], Operations: [] Exploring Operation: 83+7=90, Resulting Numbers: [35, 3, 90] Generated Node #2: [35, 3, 90] from Operation: 83+7=90 Current State: 58:[35, 3, 90], Operations: ['83+7=90'] Exploring Operation: 35-3=32, Resulting Numbers: [90, 32] Generated Node #3: [90, 32] from Operation: 35-3=32 Current State: 58:[90, 32], Operations: ['83+7=90', '35-3=32'] Exploring Operation: 90-32=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 79, 80, 37, 5 ]
78
[ "79-5=74", "74/37=2", "80-2=78" ]
Current State: 78:[79, 80, 37, 5], Operations: [] Exploring Operation: 79-5=74, Resulting Numbers: [80, 37, 74] Generated Node #2: [80, 37, 74] from Operation: 79-5=74 Current State: 78:[80, 37, 74], Operations: ['79-5=74'] Exploring Operation: 74/37=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 74/37=2 Current State: 78:[80, 2], Operations: ['79-5=74', '74/37=2'] Exploring Operation: 80-2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 45, 46, 20, 99 ]
79
[ "46-45=1", "99-20=79", "1*79=79" ]
Current State: 79:[45, 46, 20, 99], Operations: [] Exploring Operation: 46-45=1, Resulting Numbers: [20, 99, 1] Generated Node #2: [20, 99, 1] from Operation: 46-45=1 Current State: 79:[20, 99, 1], Operations: ['46-45=1'] Exploring Operation: 99-20=79, Resulting Numbers: [1, 79] Generated Node #3: [1, 79] from Operation: 99-20=79 Current State: 79:[1, 79], Operations: ['46-45=1', '99-20=79'] Exploring Operation: 1*79=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 9, 60, 6, 49 ]
49
[ "60/6=10", "10-9=1", "49*1=49" ]
Current State: 49:[9, 60, 6, 49], Operations: [] Exploring Operation: 60/6=10, Resulting Numbers: [9, 49, 10] Generated Node #2: [9, 49, 10] from Operation: 60/6=10 Current State: 49:[9, 49, 10], Operations: ['60/6=10'] Exploring Operation: 10-9=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 10-9=1 Current State: 49:[49, 1], Operations: ['60/6=10', '10-9=1'] Exploring Operation: 49*1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 9, 10, 6, 2 ]
46
[ "9*6=54", "10-2=8", "54-8=46" ]
Current State: 46:[9, 10, 6, 2], Operations: [] Exploring Operation: 9*6=54, Resulting Numbers: [10, 2, 54] Generated Node #2: [10, 2, 54] from Operation: 9*6=54 Current State: 46:[10, 2, 54], Operations: ['9*6=54'] Exploring Operation: 10-2=8, Resulting Numbers: [54, 8] Generated Node #3: [54, 8] from Operation: 10-2=8 Current State: 46:[54, 8], Operations: ['9*6=54', '10-2=8'] Exploring Operation: 54-8=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 95, 22, 9, 52 ]
44
[ "95+9=104", "22*104=2288", "2288/52=44" ]
Current State: 44:[95, 22, 9, 52], Operations: [] Exploring Operation: 95+9=104, Resulting Numbers: [22, 52, 104] Generated Node #2: [22, 52, 104] from Operation: 95+9=104 Current State: 44:[22, 52, 104], Operations: ['95+9=104'] Exploring Operation: 22*104=2288, Resulting Numbers: [52, 2288] Generated Node #3: [52, 2288] from Operation: 22*104=2288 Current State: 44:[52, 2288], Operations: ['95+9=104', '22*104=2288'] Exploring Operation: 2288/52=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 8, 59, 7, 56 ]
18
[ "8+59=67", "56-7=49", "67-49=18" ]
Current State: 18:[8, 59, 7, 56], Operations: [] Exploring Operation: 8+59=67, Resulting Numbers: [7, 56, 67] Generated Node #2: [7, 56, 67] from Operation: 8+59=67 Current State: 18:[7, 56, 67], Operations: ['8+59=67'] Exploring Operation: 56-7=49, Resulting Numbers: [67, 49] Generated Node #3: [67, 49] from Operation: 56-7=49 Current State: 18:[67, 49], Operations: ['8+59=67', '56-7=49'] Exploring Operation: 67-49=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 25, 8, 18, 17 ]
63
[ "25-18=7", "17-8=9", "7*9=63" ]
Current State: 63:[25, 8, 18, 17], Operations: [] Exploring Operation: 25-18=7, Resulting Numbers: [8, 17, 7] Generated Node #2: [8, 17, 7] from Operation: 25-18=7 Current State: 63:[8, 17, 7], Operations: ['25-18=7'] Exploring Operation: 17-8=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 17-8=9 Current State: 63:[7, 9], Operations: ['25-18=7', '17-8=9'] Exploring Operation: 7*9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 16, 1, 11, 88 ]
24
[ "16*1=16", "88/11=8", "16+8=24" ]
Current State: 24:[16, 1, 11, 88], Operations: [] Exploring Operation: 16*1=16, Resulting Numbers: [11, 88, 16] Generated Node #2: [11, 88, 16] from Operation: 16*1=16 Current State: 24:[11, 88, 16], Operations: ['16*1=16'] Exploring Operation: 88/11=8, Resulting Numbers: [16, 8] Generated Node #3: [16, 8] from Operation: 88/11=8 Current State: 24:[16, 8], Operations: ['16*1=16', '88/11=8'] Exploring Operation: 16+8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 32, 10, 92, 9 ]
61
[ "32-10=22", "92-9=83", "83-22=61" ]
Current State: 61:[32, 10, 92, 9], Operations: [] Exploring Operation: 32-10=22, Resulting Numbers: [92, 9, 22] Generated Node #2: [92, 9, 22] from Operation: 32-10=22 Current State: 61:[92, 9, 22], Operations: ['32-10=22'] Exploring Operation: 92-9=83, Resulting Numbers: [22, 83] Generated Node #3: [22, 83] from Operation: 92-9=83 Current State: 61:[22, 83], Operations: ['32-10=22', '92-9=83'] Exploring Operation: 83-22=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 20, 72, 30, 42 ]
80
[ "20+72=92", "42-30=12", "92-12=80" ]
Current State: 80:[20, 72, 30, 42], Operations: [] Exploring Operation: 20+72=92, Resulting Numbers: [30, 42, 92] Generated Node #2: [30, 42, 92] from Operation: 20+72=92 Current State: 80:[30, 42, 92], Operations: ['20+72=92'] Exploring Operation: 42-30=12, Resulting Numbers: [92, 12] Generated Node #3: [92, 12] from Operation: 42-30=12 Current State: 80:[92, 12], Operations: ['20+72=92', '42-30=12'] Exploring Operation: 92-12=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 61, 2, 3, 77 ]
86
[ "77-2=75", "75/3=25", "61+25=86" ]
Current State: 86:[61, 2, 3, 77], Operations: [] Exploring Operation: 77-2=75, Resulting Numbers: [61, 3, 75] Generated Node #2: [61, 3, 75] from Operation: 77-2=75 Current State: 86:[61, 3, 75], Operations: ['77-2=75'] Exploring Operation: 75/3=25, Resulting Numbers: [61, 25] Generated Node #3: [61, 25] from Operation: 75/3=25 Current State: 86:[61, 25], Operations: ['77-2=75', '75/3=25'] Exploring Operation: 61+25=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 8, 50, 14, 29 ]
85
[ "50-8=42", "14+29=43", "42+43=85" ]
Current State: 85:[8, 50, 14, 29], Operations: [] Exploring Operation: 50-8=42, Resulting Numbers: [14, 29, 42] Generated Node #2: [14, 29, 42] from Operation: 50-8=42 Current State: 85:[14, 29, 42], Operations: ['50-8=42'] Exploring Operation: 14+29=43, Resulting Numbers: [42, 43] Generated Node #3: [42, 43] from Operation: 14+29=43 Current State: 85:[42, 43], Operations: ['50-8=42', '14+29=43'] Exploring Operation: 42+43=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 34, 18, 46, 27 ]
71
[ "34+18=52", "46-27=19", "52+19=71" ]
Current State: 71:[34, 18, 46, 27], Operations: [] Exploring Operation: 34+18=52, Resulting Numbers: [46, 27, 52] Generated Node #2: [46, 27, 52] from Operation: 34+18=52 Current State: 71:[46, 27, 52], Operations: ['34+18=52'] Exploring Operation: 46-27=19, Resulting Numbers: [52, 19] Generated Node #3: [52, 19] from Operation: 46-27=19 Current State: 71:[52, 19], Operations: ['34+18=52', '46-27=19'] Exploring Operation: 52+19=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 77, 79, 87, 84 ]
56
[ "84-77=7", "87-79=8", "7*8=56" ]
Current State: 56:[77, 79, 87, 84], Operations: [] Exploring Operation: 84-77=7, Resulting Numbers: [79, 87, 7] Generated Node #2: [79, 87, 7] from Operation: 84-77=7 Current State: 56:[79, 87, 7], Operations: ['84-77=7'] Exploring Operation: 87-79=8, Resulting Numbers: [7, 8] Generated Node #3: [7, 8] from Operation: 87-79=8 Current State: 56:[7, 8], Operations: ['84-77=7', '87-79=8'] Exploring Operation: 7*8=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 50, 4, 19, 99 ]
82
[ "50*4=200", "19+99=118", "200-118=82" ]
Current State: 82:[50, 4, 19, 99], Operations: [] Exploring Operation: 50*4=200, Resulting Numbers: [19, 99, 200] Generated Node #2: [19, 99, 200] from Operation: 50*4=200 Current State: 82:[19, 99, 200], Operations: ['50*4=200'] Exploring Operation: 19+99=118, Resulting Numbers: [200, 118] Generated Node #3: [200, 118] from Operation: 19+99=118 Current State: 82:[200, 118], Operations: ['50*4=200', '19+99=118'] Exploring Operation: 200-118=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 31, 55, 22, 25 ]
89
[ "31+55=86", "25-22=3", "86+3=89" ]
Current State: 89:[31, 55, 22, 25], Operations: [] Exploring Operation: 31+55=86, Resulting Numbers: [22, 25, 86] Generated Node #2: [22, 25, 86] from Operation: 31+55=86 Current State: 89:[22, 25, 86], Operations: ['31+55=86'] Exploring Operation: 25-22=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 25-22=3 Current State: 89:[86, 3], Operations: ['31+55=86', '25-22=3'] Exploring Operation: 86+3=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 86, 68, 36, 73 ]
75
[ "86-68=18", "36/18=2", "73+2=75" ]
Current State: 75:[86, 68, 36, 73], Operations: [] Exploring Operation: 86-68=18, Resulting Numbers: [36, 73, 18] Generated Node #2: [36, 73, 18] from Operation: 86-68=18 Current State: 75:[36, 73, 18], Operations: ['86-68=18'] Exploring Operation: 36/18=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 36/18=2 Current State: 75:[73, 2], Operations: ['86-68=18', '36/18=2'] Exploring Operation: 73+2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 27, 17, 8, 47 ]
65
[ "27-17=10", "8+47=55", "10+55=65" ]
Current State: 65:[27, 17, 8, 47], Operations: [] Exploring Operation: 27-17=10, Resulting Numbers: [8, 47, 10] Generated Node #2: [8, 47, 10] from Operation: 27-17=10 Current State: 65:[8, 47, 10], Operations: ['27-17=10'] Exploring Operation: 8+47=55, Resulting Numbers: [10, 55] Generated Node #3: [10, 55] from Operation: 8+47=55 Current State: 65:[10, 55], Operations: ['27-17=10', '8+47=55'] Exploring Operation: 10+55=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 93, 96, 31, 26 ]
15
[ "96-93=3", "31-26=5", "3*5=15" ]
Current State: 15:[93, 96, 31, 26], Operations: [] Exploring Operation: 96-93=3, Resulting Numbers: [31, 26, 3] Generated Node #2: [31, 26, 3] from Operation: 96-93=3 Current State: 15:[31, 26, 3], Operations: ['96-93=3'] Exploring Operation: 31-26=5, Resulting Numbers: [3, 5] Generated Node #3: [3, 5] from Operation: 31-26=5 Current State: 15:[3, 5], Operations: ['96-93=3', '31-26=5'] Exploring Operation: 3*5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 26, 85, 23, 49 ]
86
[ "26+23=49", "49/49=1", "85+1=86" ]
Current State: 86:[26, 85, 23, 49], Operations: [] Exploring Operation: 26+23=49, Resulting Numbers: [85, 49, 49] Generated Node #2: [85, 49, 49] from Operation: 26+23=49 Current State: 86:[85, 49, 49], Operations: ['26+23=49'] Exploring Operation: 49/49=1, Resulting Numbers: [85, 1] Generated Node #3: [85, 1] from Operation: 49/49=1 Current State: 86:[85, 1], Operations: ['26+23=49', '49/49=1'] Exploring Operation: 85+1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 36, 39, 61, 49 ]
64
[ "49-36=13", "39/13=3", "61+3=64" ]
Current State: 64:[36, 39, 61, 49], Operations: [] Exploring Operation: 49-36=13, Resulting Numbers: [39, 61, 13] Generated Node #2: [39, 61, 13] from Operation: 49-36=13 Current State: 64:[39, 61, 13], Operations: ['49-36=13'] Exploring Operation: 39/13=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 39/13=3 Current State: 64:[61, 3], Operations: ['49-36=13', '39/13=3'] Exploring Operation: 61+3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 22, 45, 39, 44 ]
17
[ "39-22=17", "45-44=1", "17*1=17" ]
Current State: 17:[22, 45, 39, 44], Operations: [] Exploring Operation: 39-22=17, Resulting Numbers: [45, 44, 17] Generated Node #2: [45, 44, 17] from Operation: 39-22=17 Current State: 17:[45, 44, 17], Operations: ['39-22=17'] Exploring Operation: 45-44=1, Resulting Numbers: [17, 1] Generated Node #3: [17, 1] from Operation: 45-44=1 Current State: 17:[17, 1], Operations: ['39-22=17', '45-44=1'] Exploring Operation: 17*1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4