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
[ 9, 6, 7, 24 ]
36
[ "9-7=2", "24-6=18", "2*18=36" ]
Current State: 36:[9, 6, 7, 24], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [6, 24, 2] Generated Node #2: [6, 24, 2] from Operation: 9-7=2 Current State: 36:[6, 24, 2], Operations: ['9-7=2'] Exploring Operation: 24-6=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 24-6=18 Current State: 36:[2, 18], Operations: ['9-7=2', '24-6=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 52, 75, 7, 68 ]
93
[ "75-52=23", "7*23=161", "161-68=93" ]
Current State: 93:[52, 75, 7, 68], Operations: [] Exploring Operation: 75-52=23, Resulting Numbers: [7, 68, 23] Generated Node #2: [7, 68, 23] from Operation: 75-52=23 Current State: 93:[7, 68, 23], Operations: ['75-52=23'] Exploring Operation: 7*23=161, Resulting Numbers: [68, 161] Generated Node #3: [68, 161] from Operation: 7*23=161 Current State: 93:[68, 161], Operations: ['75-52=23', '7*23=161'] Exploring Operation: 161-68=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 77, 49, 48, 66 ]
11
[ "77-66=11", "49-48=1", "11*1=11" ]
Current State: 11:[77, 49, 48, 66], Operations: [] Exploring Operation: 77-66=11, Resulting Numbers: [49, 48, 11] Generated Node #2: [49, 48, 11] from Operation: 77-66=11 Current State: 11:[49, 48, 11], Operations: ['77-66=11'] Exploring Operation: 49-48=1, Resulting Numbers: [11, 1] Generated Node #3: [11, 1] from Operation: 49-48=1 Current State: 11:[11, 1], Operations: ['77-66=11', '49-48=1'] Exploring Operation: 11*1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 62, 78, 9, 69 ]
63
[ "78-9=69", "69/69=1", "62+1=63" ]
Current State: 63:[62, 78, 9, 69], Operations: [] Exploring Operation: 78-9=69, Resulting Numbers: [62, 69, 69] Generated Node #2: [62, 69, 69] from Operation: 78-9=69 Current State: 63:[62, 69, 69], Operations: ['78-9=69'] Exploring Operation: 69/69=1, Resulting Numbers: [62, 1] Generated Node #3: [62, 1] from Operation: 69/69=1 Current State: 63:[62, 1], Operations: ['78-9=69', '69/69=1'] Exploring Operation: 62+1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 44, 24, 65, 50 ]
69
[ "50-44=6", "24/6=4", "65+4=69" ]
Current State: 69:[44, 24, 65, 50], Operations: [] Exploring Operation: 50-44=6, Resulting Numbers: [24, 65, 6] Generated Node #2: [24, 65, 6] from Operation: 50-44=6 Current State: 69:[24, 65, 6], Operations: ['50-44=6'] Exploring Operation: 24/6=4, Resulting Numbers: [65, 4] Generated Node #3: [65, 4] from Operation: 24/6=4 Current State: 69:[65, 4], Operations: ['50-44=6', '24/6=4'] Exploring Operation: 65+4=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 24, 10, 80, 8 ]
70
[ "80-24=56", "10*56=560", "560/8=70" ]
Current State: 70:[24, 10, 80, 8], Operations: [] Exploring Operation: 80-24=56, Resulting Numbers: [10, 8, 56] Generated Node #2: [10, 8, 56] from Operation: 80-24=56 Current State: 70:[10, 8, 56], Operations: ['80-24=56'] Exploring Operation: 10*56=560, Resulting Numbers: [8, 560] Generated Node #3: [8, 560] from Operation: 10*56=560 Current State: 70:[8, 560], Operations: ['80-24=56', '10*56=560'] Exploring Operation: 560/8=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 96, 28, 65, 65 ]
67
[ "96-28=68", "65/65=1", "68-1=67" ]
Current State: 67:[96, 28, 65, 65], Operations: [] Exploring Operation: 96-28=68, Resulting Numbers: [65, 65, 68] Generated Node #2: [65, 65, 68] from Operation: 96-28=68 Current State: 67:[65, 65, 68], Operations: ['96-28=68'] Exploring Operation: 65/65=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 65/65=1 Current State: 67:[68, 1], Operations: ['96-28=68', '65/65=1'] Exploring Operation: 68-1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 36, 6, 15, 84 ]
99
[ "36-6=30", "84-15=69", "30+69=99" ]
Current State: 99:[36, 6, 15, 84], Operations: [] Exploring Operation: 36-6=30, Resulting Numbers: [15, 84, 30] Generated Node #2: [15, 84, 30] from Operation: 36-6=30 Current State: 99:[15, 84, 30], Operations: ['36-6=30'] Exploring Operation: 84-15=69, Resulting Numbers: [30, 69] Generated Node #3: [30, 69] from Operation: 84-15=69 Current State: 99:[30, 69], Operations: ['36-6=30', '84-15=69'] Exploring Operation: 30+69=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 55, 32, 63, 43 ]
43
[ "55-32=23", "63-43=20", "23+20=43" ]
Current State: 43:[55, 32, 63, 43], Operations: [] Exploring Operation: 55-32=23, Resulting Numbers: [63, 43, 23] Generated Node #2: [63, 43, 23] from Operation: 55-32=23 Current State: 43:[63, 43, 23], Operations: ['55-32=23'] Exploring Operation: 63-43=20, Resulting Numbers: [23, 20] Generated Node #3: [23, 20] from Operation: 63-43=20 Current State: 43:[23, 20], Operations: ['55-32=23', '63-43=20'] Exploring Operation: 23+20=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 6, 14, 94, 15 ]
71
[ "14-6=8", "94-15=79", "79-8=71" ]
Current State: 71:[6, 14, 94, 15], Operations: [] Exploring Operation: 14-6=8, Resulting Numbers: [94, 15, 8] Generated Node #2: [94, 15, 8] from Operation: 14-6=8 Current State: 71:[94, 15, 8], Operations: ['14-6=8'] Exploring Operation: 94-15=79, Resulting Numbers: [8, 79] Generated Node #3: [8, 79] from Operation: 94-15=79 Current State: 71:[8, 79], Operations: ['14-6=8', '94-15=79'] Exploring Operation: 79-8=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 53, 96, 57, 5 ]
59
[ "53-5=48", "96/48=2", "57+2=59" ]
Current State: 59:[53, 96, 57, 5], Operations: [] Exploring Operation: 53-5=48, Resulting Numbers: [96, 57, 48] Generated Node #2: [96, 57, 48] from Operation: 53-5=48 Current State: 59:[96, 57, 48], Operations: ['53-5=48'] Exploring Operation: 96/48=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 96/48=2 Current State: 59:[57, 2], Operations: ['53-5=48', '96/48=2'] Exploring Operation: 57+2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 22, 26, 57, 28 ]
89
[ "26-22=4", "57+28=85", "4+85=89" ]
Current State: 89:[22, 26, 57, 28], Operations: [] Exploring Operation: 26-22=4, Resulting Numbers: [57, 28, 4] Generated Node #2: [57, 28, 4] from Operation: 26-22=4 Current State: 89:[57, 28, 4], Operations: ['26-22=4'] Exploring Operation: 57+28=85, Resulting Numbers: [4, 85] Generated Node #3: [4, 85] from Operation: 57+28=85 Current State: 89:[4, 85], Operations: ['26-22=4', '57+28=85'] Exploring Operation: 4+85=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 95, 4, 42, 29 ]
27
[ "95+42=137", "137-29=108", "108/4=27" ]
Current State: 27:[95, 4, 42, 29], Operations: [] Exploring Operation: 95+42=137, Resulting Numbers: [4, 29, 137] Generated Node #2: [4, 29, 137] from Operation: 95+42=137 Current State: 27:[4, 29, 137], Operations: ['95+42=137'] Exploring Operation: 137-29=108, Resulting Numbers: [4, 108] Generated Node #3: [4, 108] from Operation: 137-29=108 Current State: 27:[4, 108], Operations: ['95+42=137', '137-29=108'] Exploring Operation: 108/4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 54, 22, 50, 52 ]
70
[ "54-22=32", "50+52=102", "102-32=70" ]
Current State: 70:[54, 22, 50, 52], Operations: [] Exploring Operation: 54-22=32, Resulting Numbers: [50, 52, 32] Generated Node #2: [50, 52, 32] from Operation: 54-22=32 Current State: 70:[50, 52, 32], Operations: ['54-22=32'] Exploring Operation: 50+52=102, Resulting Numbers: [32, 102] Generated Node #3: [32, 102] from Operation: 50+52=102 Current State: 70:[32, 102], Operations: ['54-22=32', '50+52=102'] Exploring Operation: 102-32=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 19, 36, 7, 55 ]
32
[ "36+55=91", "91/7=13", "19+13=32" ]
Current State: 32:[19, 36, 7, 55], Operations: [] Exploring Operation: 36+55=91, Resulting Numbers: [19, 7, 91] Generated Node #2: [19, 7, 91] from Operation: 36+55=91 Current State: 32:[19, 7, 91], Operations: ['36+55=91'] Exploring Operation: 91/7=13, Resulting Numbers: [19, 13] Generated Node #3: [19, 13] from Operation: 91/7=13 Current State: 32:[19, 13], Operations: ['36+55=91', '91/7=13'] Exploring Operation: 19+13=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 68, 46, 40, 88 ]
10
[ "68-46=22", "40*22=880", "880/88=10" ]
Current State: 10:[68, 46, 40, 88], Operations: [] Exploring Operation: 68-46=22, Resulting Numbers: [40, 88, 22] Generated Node #2: [40, 88, 22] from Operation: 68-46=22 Current State: 10:[40, 88, 22], Operations: ['68-46=22'] Exploring Operation: 40*22=880, Resulting Numbers: [88, 880] Generated Node #3: [88, 880] from Operation: 40*22=880 Current State: 10:[88, 880], Operations: ['68-46=22', '40*22=880'] Exploring Operation: 880/88=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 84, 44, 7, 26 ]
95
[ "84+44=128", "7+26=33", "128-33=95" ]
Current State: 95:[84, 44, 7, 26], Operations: [] Exploring Operation: 84+44=128, Resulting Numbers: [7, 26, 128] Generated Node #2: [7, 26, 128] from Operation: 84+44=128 Current State: 95:[7, 26, 128], Operations: ['84+44=128'] Exploring Operation: 7+26=33, Resulting Numbers: [128, 33] Generated Node #3: [128, 33] from Operation: 7+26=33 Current State: 95:[128, 33], Operations: ['84+44=128', '7+26=33'] Exploring Operation: 128-33=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 85, 2, 55, 38 ]
100
[ "85-2=83", "55-38=17", "83+17=100" ]
Current State: 100:[85, 2, 55, 38], Operations: [] Exploring Operation: 85-2=83, Resulting Numbers: [55, 38, 83] Generated Node #2: [55, 38, 83] from Operation: 85-2=83 Current State: 100:[55, 38, 83], Operations: ['85-2=83'] Exploring Operation: 55-38=17, Resulting Numbers: [83, 17] Generated Node #3: [83, 17] from Operation: 55-38=17 Current State: 100:[83, 17], Operations: ['85-2=83', '55-38=17'] Exploring Operation: 83+17=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 54, 33, 4, 14 ]
66
[ "4*14=56", "56-54=2", "33*2=66" ]
Current State: 66:[54, 33, 4, 14], Operations: [] Exploring Operation: 4*14=56, Resulting Numbers: [54, 33, 56] Generated Node #2: [54, 33, 56] from Operation: 4*14=56 Current State: 66:[54, 33, 56], Operations: ['4*14=56'] Exploring Operation: 56-54=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 56-54=2 Current State: 66:[33, 2], Operations: ['4*14=56', '56-54=2'] Exploring Operation: 33*2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 35, 89, 56, 39 ]
71
[ "89-35=54", "56-39=17", "54+17=71" ]
Current State: 71:[35, 89, 56, 39], Operations: [] Exploring Operation: 89-35=54, Resulting Numbers: [56, 39, 54] Generated Node #2: [56, 39, 54] from Operation: 89-35=54 Current State: 71:[56, 39, 54], Operations: ['89-35=54'] Exploring Operation: 56-39=17, Resulting Numbers: [54, 17] Generated Node #3: [54, 17] from Operation: 56-39=17 Current State: 71:[54, 17], Operations: ['89-35=54', '56-39=17'] Exploring Operation: 54+17=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 57, 5, 46, 25 ]
55
[ "57-46=11", "25/5=5", "11*5=55" ]
Current State: 55:[57, 5, 46, 25], Operations: [] Exploring Operation: 57-46=11, Resulting Numbers: [5, 25, 11] Generated Node #2: [5, 25, 11] from Operation: 57-46=11 Current State: 55:[5, 25, 11], Operations: ['57-46=11'] Exploring Operation: 25/5=5, Resulting Numbers: [11, 5] Generated Node #3: [11, 5] from Operation: 25/5=5 Current State: 55:[11, 5], Operations: ['57-46=11', '25/5=5'] Exploring Operation: 11*5=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 39, 38, 26, 65 ]
34
[ "39+65=104", "104/26=4", "38-4=34" ]
Current State: 34:[39, 38, 26, 65], Operations: [] Exploring Operation: 39+65=104, Resulting Numbers: [38, 26, 104] Generated Node #2: [38, 26, 104] from Operation: 39+65=104 Current State: 34:[38, 26, 104], Operations: ['39+65=104'] Exploring Operation: 104/26=4, Resulting Numbers: [38, 4] Generated Node #3: [38, 4] from Operation: 104/26=4 Current State: 34:[38, 4], Operations: ['39+65=104', '104/26=4'] Exploring Operation: 38-4=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 27, 88, 50, 42 ]
48
[ "27+50=77", "88*42=3696", "3696/77=48" ]
Current State: 48:[27, 88, 50, 42], Operations: [] Exploring Operation: 27+50=77, Resulting Numbers: [88, 42, 77] Generated Node #2: [88, 42, 77] from Operation: 27+50=77 Current State: 48:[88, 42, 77], Operations: ['27+50=77'] Exploring Operation: 88*42=3696, Resulting Numbers: [77, 3696] Generated Node #3: [77, 3696] from Operation: 88*42=3696 Current State: 48:[77, 3696], Operations: ['27+50=77', '88*42=3696'] Exploring Operation: 3696/77=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 13, 44, 22 ]
19
[ "3*44=132", "132/22=6", "13+6=19" ]
Current State: 19:[3, 13, 44, 22], Operations: [] Exploring Operation: 3*44=132, Resulting Numbers: [13, 22, 132] Generated Node #2: [13, 22, 132] from Operation: 3*44=132 Current State: 19:[13, 22, 132], Operations: ['3*44=132'] Exploring Operation: 132/22=6, Resulting Numbers: [13, 6] Generated Node #3: [13, 6] from Operation: 132/22=6 Current State: 19:[13, 6], Operations: ['3*44=132', '132/22=6'] Exploring Operation: 13+6=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 78, 27, 58, 95 ]
68
[ "78+27=105", "95-58=37", "105-37=68" ]
Current State: 68:[78, 27, 58, 95], Operations: [] Exploring Operation: 78+27=105, Resulting Numbers: [58, 95, 105] Generated Node #2: [58, 95, 105] from Operation: 78+27=105 Current State: 68:[58, 95, 105], Operations: ['78+27=105'] Exploring Operation: 95-58=37, Resulting Numbers: [105, 37] Generated Node #3: [105, 37] from Operation: 95-58=37 Current State: 68:[105, 37], Operations: ['78+27=105', '95-58=37'] Exploring Operation: 105-37=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 88, 18, 86, 67 ]
98
[ "88-86=2", "67-18=49", "2*49=98" ]
Current State: 98:[88, 18, 86, 67], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [18, 67, 2] Generated Node #2: [18, 67, 2] from Operation: 88-86=2 Current State: 98:[18, 67, 2], Operations: ['88-86=2'] Exploring Operation: 67-18=49, Resulting Numbers: [2, 49] Generated Node #3: [2, 49] from Operation: 67-18=49 Current State: 98:[2, 49], Operations: ['88-86=2', '67-18=49'] Exploring Operation: 2*49=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 53, 4, 39, 43 ]
63
[ "53+43=96", "96/4=24", "39+24=63" ]
Current State: 63:[53, 4, 39, 43], Operations: [] Exploring Operation: 53+43=96, Resulting Numbers: [4, 39, 96] Generated Node #2: [4, 39, 96] from Operation: 53+43=96 Current State: 63:[4, 39, 96], Operations: ['53+43=96'] Exploring Operation: 96/4=24, Resulting Numbers: [39, 24] Generated Node #3: [39, 24] from Operation: 96/4=24 Current State: 63:[39, 24], Operations: ['53+43=96', '96/4=24'] Exploring Operation: 39+24=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 44, 77, 85, 19 ]
71
[ "77-44=33", "85+19=104", "104-33=71" ]
Current State: 71:[44, 77, 85, 19], Operations: [] Exploring Operation: 77-44=33, Resulting Numbers: [85, 19, 33] Generated Node #2: [85, 19, 33] from Operation: 77-44=33 Current State: 71:[85, 19, 33], Operations: ['77-44=33'] Exploring Operation: 85+19=104, Resulting Numbers: [33, 104] Generated Node #3: [33, 104] from Operation: 85+19=104 Current State: 71:[33, 104], Operations: ['77-44=33', '85+19=104'] Exploring Operation: 104-33=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 72, 95, 11, 60 ]
83
[ "72+60=132", "132/11=12", "95-12=83" ]
Current State: 83:[72, 95, 11, 60], Operations: [] Exploring Operation: 72+60=132, Resulting Numbers: [95, 11, 132] Generated Node #2: [95, 11, 132] from Operation: 72+60=132 Current State: 83:[95, 11, 132], Operations: ['72+60=132'] Exploring Operation: 132/11=12, Resulting Numbers: [95, 12] Generated Node #3: [95, 12] from Operation: 132/11=12 Current State: 83:[95, 12], Operations: ['72+60=132', '132/11=12'] Exploring Operation: 95-12=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 47, 29, 70, 64 ]
24
[ "47-29=18", "70-64=6", "18+6=24" ]
Current State: 24:[47, 29, 70, 64], Operations: [] Exploring Operation: 47-29=18, Resulting Numbers: [70, 64, 18] Generated Node #2: [70, 64, 18] from Operation: 47-29=18 Current State: 24:[70, 64, 18], Operations: ['47-29=18'] Exploring Operation: 70-64=6, Resulting Numbers: [18, 6] Generated Node #3: [18, 6] from Operation: 70-64=6 Current State: 24:[18, 6], Operations: ['47-29=18', '70-64=6'] Exploring Operation: 18+6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 4, 68, 37, 65 ]
10
[ "68+37=105", "105-65=40", "40/4=10" ]
Current State: 10:[4, 68, 37, 65], Operations: [] Exploring Operation: 68+37=105, Resulting Numbers: [4, 65, 105] Generated Node #2: [4, 65, 105] from Operation: 68+37=105 Current State: 10:[4, 65, 105], Operations: ['68+37=105'] Exploring Operation: 105-65=40, Resulting Numbers: [4, 40] Generated Node #3: [4, 40] from Operation: 105-65=40 Current State: 10:[4, 40], Operations: ['68+37=105', '105-65=40'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 65, 2, 77, 69 ]
63
[ "77-65=12", "12/2=6", "69-6=63" ]
Current State: 63:[65, 2, 77, 69], Operations: [] Exploring Operation: 77-65=12, Resulting Numbers: [2, 69, 12] Generated Node #2: [2, 69, 12] from Operation: 77-65=12 Current State: 63:[2, 69, 12], Operations: ['77-65=12'] Exploring Operation: 12/2=6, Resulting Numbers: [69, 6] Generated Node #3: [69, 6] from Operation: 12/2=6 Current State: 63:[69, 6], Operations: ['77-65=12', '12/2=6'] Exploring Operation: 69-6=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 44, 16, 32, 24 ]
80
[ "44+16=60", "32*60=1920", "1920/24=80" ]
Current State: 80:[44, 16, 32, 24], Operations: [] Exploring Operation: 44+16=60, Resulting Numbers: [32, 24, 60] Generated Node #2: [32, 24, 60] from Operation: 44+16=60 Current State: 80:[32, 24, 60], Operations: ['44+16=60'] Exploring Operation: 32*60=1920, Resulting Numbers: [24, 1920] Generated Node #3: [24, 1920] from Operation: 32*60=1920 Current State: 80:[24, 1920], Operations: ['44+16=60', '32*60=1920'] Exploring Operation: 1920/24=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 60, 9, 3, 23 ]
30
[ "60+3=63", "63/9=7", "23+7=30" ]
Current State: 30:[60, 9, 3, 23], Operations: [] Exploring Operation: 60+3=63, Resulting Numbers: [9, 23, 63] Generated Node #2: [9, 23, 63] from Operation: 60+3=63 Current State: 30:[9, 23, 63], Operations: ['60+3=63'] Exploring Operation: 63/9=7, Resulting Numbers: [23, 7] Generated Node #3: [23, 7] from Operation: 63/9=7 Current State: 30:[23, 7], Operations: ['60+3=63', '63/9=7'] Exploring Operation: 23+7=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 70, 19, 13, 3 ]
88
[ "19-13=6", "3*6=18", "70+18=88" ]
Current State: 88:[70, 19, 13, 3], Operations: [] Exploring Operation: 19-13=6, Resulting Numbers: [70, 3, 6] Generated Node #2: [70, 3, 6] from Operation: 19-13=6 Current State: 88:[70, 3, 6], Operations: ['19-13=6'] Exploring Operation: 3*6=18, Resulting Numbers: [70, 18] Generated Node #3: [70, 18] from Operation: 3*6=18 Current State: 88:[70, 18], Operations: ['19-13=6', '3*6=18'] Exploring Operation: 70+18=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 23, 15, 5, 27 ]
60
[ "23+15=38", "27-5=22", "38+22=60" ]
Current State: 60:[23, 15, 5, 27], Operations: [] Exploring Operation: 23+15=38, Resulting Numbers: [5, 27, 38] Generated Node #2: [5, 27, 38] from Operation: 23+15=38 Current State: 60:[5, 27, 38], Operations: ['23+15=38'] Exploring Operation: 27-5=22, Resulting Numbers: [38, 22] Generated Node #3: [38, 22] from Operation: 27-5=22 Current State: 60:[38, 22], Operations: ['23+15=38', '27-5=22'] Exploring Operation: 38+22=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 20, 52, 30, 22 ]
11
[ "52-20=32", "32-30=2", "22/2=11" ]
Current State: 11:[20, 52, 30, 22], Operations: [] Exploring Operation: 52-20=32, Resulting Numbers: [30, 22, 32] Generated Node #2: [30, 22, 32] from Operation: 52-20=32 Current State: 11:[30, 22, 32], Operations: ['52-20=32'] Exploring Operation: 32-30=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 32-30=2 Current State: 11:[22, 2], Operations: ['52-20=32', '32-30=2'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 32, 96, 97, 43 ]
32
[ "96/32=3", "43*3=129", "129-97=32" ]
Current State: 32:[32, 96, 97, 43], Operations: [] Exploring Operation: 96/32=3, Resulting Numbers: [97, 43, 3] Generated Node #2: [97, 43, 3] from Operation: 96/32=3 Current State: 32:[97, 43, 3], Operations: ['96/32=3'] Exploring Operation: 43*3=129, Resulting Numbers: [97, 129] Generated Node #3: [97, 129] from Operation: 43*3=129 Current State: 32:[97, 129], Operations: ['96/32=3', '43*3=129'] Exploring Operation: 129-97=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 34, 32, 11, 3 ]
41
[ "32-11=21", "21/3=7", "34+7=41" ]
Current State: 41:[34, 32, 11, 3], Operations: [] Exploring Operation: 32-11=21, Resulting Numbers: [34, 3, 21] Generated Node #2: [34, 3, 21] from Operation: 32-11=21 Current State: 41:[34, 3, 21], Operations: ['32-11=21'] Exploring Operation: 21/3=7, Resulting Numbers: [34, 7] Generated Node #3: [34, 7] from Operation: 21/3=7 Current State: 41:[34, 7], Operations: ['32-11=21', '21/3=7'] Exploring Operation: 34+7=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 60, 4, 9, 21 ]
36
[ "60+21=81", "4*81=324", "324/9=36" ]
Current State: 36:[60, 4, 9, 21], Operations: [] Exploring Operation: 60+21=81, Resulting Numbers: [4, 9, 81] Generated Node #2: [4, 9, 81] from Operation: 60+21=81 Current State: 36:[4, 9, 81], Operations: ['60+21=81'] Exploring Operation: 4*81=324, Resulting Numbers: [9, 324] Generated Node #3: [9, 324] from Operation: 4*81=324 Current State: 36:[9, 324], Operations: ['60+21=81', '4*81=324'] Exploring Operation: 324/9=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 1, 55, 9, 4 ]
23
[ "1+55=56", "56/4=14", "9+14=23" ]
Current State: 23:[1, 55, 9, 4], Operations: [] Exploring Operation: 1+55=56, Resulting Numbers: [9, 4, 56] Generated Node #2: [9, 4, 56] from Operation: 1+55=56 Current State: 23:[9, 4, 56], Operations: ['1+55=56'] Exploring Operation: 56/4=14, Resulting Numbers: [9, 14] Generated Node #3: [9, 14] from Operation: 56/4=14 Current State: 23:[9, 14], Operations: ['1+55=56', '56/4=14'] Exploring Operation: 9+14=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 56, 63, 84, 98 ]
61
[ "98-56=42", "84/42=2", "63-2=61" ]
Current State: 61:[56, 63, 84, 98], Operations: [] Exploring Operation: 98-56=42, Resulting Numbers: [63, 84, 42] Generated Node #2: [63, 84, 42] from Operation: 98-56=42 Current State: 61:[63, 84, 42], Operations: ['98-56=42'] Exploring Operation: 84/42=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 84/42=2 Current State: 61:[63, 2], Operations: ['98-56=42', '84/42=2'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 59, 22, 49, 42 ]
74
[ "59+22=81", "49-42=7", "81-7=74" ]
Current State: 74:[59, 22, 49, 42], Operations: [] Exploring Operation: 59+22=81, Resulting Numbers: [49, 42, 81] Generated Node #2: [49, 42, 81] from Operation: 59+22=81 Current State: 74:[49, 42, 81], Operations: ['59+22=81'] Exploring Operation: 49-42=7, Resulting Numbers: [81, 7] Generated Node #3: [81, 7] from Operation: 49-42=7 Current State: 74:[81, 7], Operations: ['59+22=81', '49-42=7'] Exploring Operation: 81-7=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 55, 69, 10, 35 ]
11
[ "69-55=14", "35-10=25", "25-14=11" ]
Current State: 11:[55, 69, 10, 35], Operations: [] Exploring Operation: 69-55=14, Resulting Numbers: [10, 35, 14] Generated Node #2: [10, 35, 14] from Operation: 69-55=14 Current State: 11:[10, 35, 14], Operations: ['69-55=14'] Exploring Operation: 35-10=25, Resulting Numbers: [14, 25] Generated Node #3: [14, 25] from Operation: 35-10=25 Current State: 11:[14, 25], Operations: ['69-55=14', '35-10=25'] Exploring Operation: 25-14=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 97, 11, 68, 4 ]
10
[ "97+11=108", "108-68=40", "40/4=10" ]
Current State: 10:[97, 11, 68, 4], Operations: [] Exploring Operation: 97+11=108, Resulting Numbers: [68, 4, 108] Generated Node #2: [68, 4, 108] from Operation: 97+11=108 Current State: 10:[68, 4, 108], Operations: ['97+11=108'] Exploring Operation: 108-68=40, Resulting Numbers: [4, 40] Generated Node #3: [4, 40] from Operation: 108-68=40 Current State: 10:[4, 40], Operations: ['97+11=108', '108-68=40'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 40, 44, 85, 55 ]
55
[ "40+44=84", "85-84=1", "55*1=55" ]
Current State: 55:[40, 44, 85, 55], Operations: [] Exploring Operation: 40+44=84, Resulting Numbers: [85, 55, 84] Generated Node #2: [85, 55, 84] from Operation: 40+44=84 Current State: 55:[85, 55, 84], Operations: ['40+44=84'] Exploring Operation: 85-84=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 85-84=1 Current State: 55:[55, 1], Operations: ['40+44=84', '85-84=1'] Exploring Operation: 55*1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 87, 95, 75, 72 ]
90
[ "87-72=15", "75/15=5", "95-5=90" ]
Current State: 90:[87, 95, 75, 72], Operations: [] Exploring Operation: 87-72=15, Resulting Numbers: [95, 75, 15] Generated Node #2: [95, 75, 15] from Operation: 87-72=15 Current State: 90:[95, 75, 15], Operations: ['87-72=15'] Exploring Operation: 75/15=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 75/15=5 Current State: 90:[95, 5], Operations: ['87-72=15', '75/15=5'] Exploring Operation: 95-5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 68, 56, 8, 60 ]
36
[ "68-56=12", "8*12=96", "96-60=36" ]
Current State: 36:[68, 56, 8, 60], Operations: [] Exploring Operation: 68-56=12, Resulting Numbers: [8, 60, 12] Generated Node #2: [8, 60, 12] from Operation: 68-56=12 Current State: 36:[8, 60, 12], Operations: ['68-56=12'] Exploring Operation: 8*12=96, Resulting Numbers: [60, 96] Generated Node #3: [60, 96] from Operation: 8*12=96 Current State: 36:[60, 96], Operations: ['68-56=12', '8*12=96'] Exploring Operation: 96-60=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 83, 4, 66, 56 ]
12
[ "83-66=17", "4*17=68", "68-56=12" ]
Current State: 12:[83, 4, 66, 56], Operations: [] Exploring Operation: 83-66=17, Resulting Numbers: [4, 56, 17] Generated Node #2: [4, 56, 17] from Operation: 83-66=17 Current State: 12:[4, 56, 17], Operations: ['83-66=17'] Exploring Operation: 4*17=68, Resulting Numbers: [56, 68] Generated Node #3: [56, 68] from Operation: 4*17=68 Current State: 12:[56, 68], Operations: ['83-66=17', '4*17=68'] Exploring Operation: 68-56=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 27, 20, 83, 77 ]
93
[ "83-77=6", "20*6=120", "120-27=93" ]
Current State: 93:[27, 20, 83, 77], Operations: [] Exploring Operation: 83-77=6, Resulting Numbers: [27, 20, 6] Generated Node #2: [27, 20, 6] from Operation: 83-77=6 Current State: 93:[27, 20, 6], Operations: ['83-77=6'] Exploring Operation: 20*6=120, Resulting Numbers: [27, 120] Generated Node #3: [27, 120] from Operation: 20*6=120 Current State: 93:[27, 120], Operations: ['83-77=6', '20*6=120'] Exploring Operation: 120-27=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 89, 21, 17, 8 ]
87
[ "21-17=4", "8/4=2", "89-2=87" ]
Current State: 87:[89, 21, 17, 8], Operations: [] Exploring Operation: 21-17=4, Resulting Numbers: [89, 8, 4] Generated Node #2: [89, 8, 4] from Operation: 21-17=4 Current State: 87:[89, 8, 4], Operations: ['21-17=4'] Exploring Operation: 8/4=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 8/4=2 Current State: 87:[89, 2], Operations: ['21-17=4', '8/4=2'] Exploring Operation: 89-2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 92, 66, 72, 76 ]
89
[ "76-72=4", "92/4=23", "66+23=89" ]
Current State: 89:[92, 66, 72, 76], Operations: [] Exploring Operation: 76-72=4, Resulting Numbers: [92, 66, 4] Generated Node #2: [92, 66, 4] from Operation: 76-72=4 Current State: 89:[92, 66, 4], Operations: ['76-72=4'] Exploring Operation: 92/4=23, Resulting Numbers: [66, 23] Generated Node #3: [66, 23] from Operation: 92/4=23 Current State: 89:[66, 23], Operations: ['76-72=4', '92/4=23'] Exploring Operation: 66+23=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 66, 9, 36, 64 ]
25
[ "66+9=75", "36+64=100", "100-75=25" ]
Current State: 25:[66, 9, 36, 64], Operations: [] Exploring Operation: 66+9=75, Resulting Numbers: [36, 64, 75] Generated Node #2: [36, 64, 75] from Operation: 66+9=75 Current State: 25:[36, 64, 75], Operations: ['66+9=75'] Exploring Operation: 36+64=100, Resulting Numbers: [75, 100] Generated Node #3: [75, 100] from Operation: 36+64=100 Current State: 25:[75, 100], Operations: ['66+9=75', '36+64=100'] Exploring Operation: 100-75=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 44, 44, 21, 94 ]
74
[ "44/44=1", "94-21=73", "1+73=74" ]
Current State: 74:[44, 44, 21, 94], Operations: [] Exploring Operation: 44/44=1, Resulting Numbers: [21, 94, 1] Generated Node #2: [21, 94, 1] from Operation: 44/44=1 Current State: 74:[21, 94, 1], Operations: ['44/44=1'] Exploring Operation: 94-21=73, Resulting Numbers: [1, 73] Generated Node #3: [1, 73] from Operation: 94-21=73 Current State: 74:[1, 73], Operations: ['44/44=1', '94-21=73'] Exploring Operation: 1+73=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 36, 26, 36, 52 ]
77
[ "36/36=1", "26+52=78", "78-1=77" ]
Current State: 77:[36, 26, 36, 52], Operations: [] Exploring Operation: 36/36=1, Resulting Numbers: [26, 52, 1] Generated Node #2: [26, 52, 1] from Operation: 36/36=1 Current State: 77:[26, 52, 1], Operations: ['36/36=1'] Exploring Operation: 26+52=78, Resulting Numbers: [1, 78] Generated Node #3: [1, 78] from Operation: 26+52=78 Current State: 77:[1, 78], Operations: ['36/36=1', '26+52=78'] Exploring Operation: 78-1=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 50, 28, 29, 15 ]
62
[ "50*15=750", "28*29=812", "812-750=62" ]
Current State: 62:[50, 28, 29, 15], Operations: [] Exploring Operation: 50*15=750, Resulting Numbers: [28, 29, 750] Generated Node #2: [28, 29, 750] from Operation: 50*15=750 Current State: 62:[28, 29, 750], Operations: ['50*15=750'] Exploring Operation: 28*29=812, Resulting Numbers: [750, 812] Generated Node #3: [750, 812] from Operation: 28*29=812 Current State: 62:[750, 812], Operations: ['50*15=750', '28*29=812'] Exploring Operation: 812-750=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 21, 92, 3, 34 ]
31
[ "92-21=71", "3*34=102", "102-71=31" ]
Current State: 31:[21, 92, 3, 34], Operations: [] Exploring Operation: 92-21=71, Resulting Numbers: [3, 34, 71] Generated Node #2: [3, 34, 71] from Operation: 92-21=71 Current State: 31:[3, 34, 71], Operations: ['92-21=71'] Exploring Operation: 3*34=102, Resulting Numbers: [71, 102] Generated Node #3: [71, 102] from Operation: 3*34=102 Current State: 31:[71, 102], Operations: ['92-21=71', '3*34=102'] Exploring Operation: 102-71=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 43, 64, 58, 2 ]
46
[ "64-58=6", "6/2=3", "43+3=46" ]
Current State: 46:[43, 64, 58, 2], Operations: [] Exploring Operation: 64-58=6, Resulting Numbers: [43, 2, 6] Generated Node #2: [43, 2, 6] from Operation: 64-58=6 Current State: 46:[43, 2, 6], Operations: ['64-58=6'] Exploring Operation: 6/2=3, Resulting Numbers: [43, 3] Generated Node #3: [43, 3] from Operation: 6/2=3 Current State: 46:[43, 3], Operations: ['64-58=6', '6/2=3'] Exploring Operation: 43+3=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 65, 20, 4, 62 ]
47
[ "65+62=127", "20*4=80", "127-80=47" ]
Current State: 47:[65, 20, 4, 62], Operations: [] Exploring Operation: 65+62=127, Resulting Numbers: [20, 4, 127] Generated Node #2: [20, 4, 127] from Operation: 65+62=127 Current State: 47:[20, 4, 127], Operations: ['65+62=127'] Exploring Operation: 20*4=80, Resulting Numbers: [127, 80] Generated Node #3: [127, 80] from Operation: 20*4=80 Current State: 47:[127, 80], Operations: ['65+62=127', '20*4=80'] Exploring Operation: 127-80=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 86, 2, 50, 86 ]
26
[ "86/86=1", "50/2=25", "1+25=26" ]
Current State: 26:[86, 2, 50, 86], Operations: [] Exploring Operation: 86/86=1, Resulting Numbers: [2, 50, 1] Generated Node #2: [2, 50, 1] from Operation: 86/86=1 Current State: 26:[2, 50, 1], Operations: ['86/86=1'] Exploring Operation: 50/2=25, Resulting Numbers: [1, 25] Generated Node #3: [1, 25] from Operation: 50/2=25 Current State: 26:[1, 25], Operations: ['86/86=1', '50/2=25'] Exploring Operation: 1+25=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 75, 84, 45, 48 ]
60
[ "84-48=36", "75*36=2700", "2700/45=60" ]
Current State: 60:[75, 84, 45, 48], Operations: [] Exploring Operation: 84-48=36, Resulting Numbers: [75, 45, 36] Generated Node #2: [75, 45, 36] from Operation: 84-48=36 Current State: 60:[75, 45, 36], Operations: ['84-48=36'] Exploring Operation: 75*36=2700, Resulting Numbers: [45, 2700] Generated Node #3: [45, 2700] from Operation: 75*36=2700 Current State: 60:[45, 2700], Operations: ['84-48=36', '75*36=2700'] Exploring Operation: 2700/45=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 65, 95, 5, 87 ]
68
[ "65+95=160", "5+87=92", "160-92=68" ]
Current State: 68:[65, 95, 5, 87], Operations: [] Exploring Operation: 65+95=160, Resulting Numbers: [5, 87, 160] Generated Node #2: [5, 87, 160] from Operation: 65+95=160 Current State: 68:[5, 87, 160], Operations: ['65+95=160'] Exploring Operation: 5+87=92, Resulting Numbers: [160, 92] Generated Node #3: [160, 92] from Operation: 5+87=92 Current State: 68:[160, 92], Operations: ['65+95=160', '5+87=92'] Exploring Operation: 160-92=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 17, 5, 23, 5 ]
30
[ "17*5=85", "23*5=115", "115-85=30" ]
Current State: 30:[17, 5, 23, 5], Operations: [] Exploring Operation: 17*5=85, Resulting Numbers: [23, 85] Generated Node #2: [23, 85] from Operation: 17*5=85 Current State: 30:[23, 85], Operations: ['17*5=85'] Exploring Operation: 23*5=115, Resulting Numbers: [85, 115] Generated Node #3: [85, 115] from Operation: 23*5=115 Current State: 30:[85, 115], Operations: ['17*5=85', '23*5=115'] Exploring Operation: 115-85=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 54, 46, 38, 77 ]
47
[ "54-46=8", "77-38=39", "8+39=47" ]
Current State: 47:[54, 46, 38, 77], Operations: [] Exploring Operation: 54-46=8, Resulting Numbers: [38, 77, 8] Generated Node #2: [38, 77, 8] from Operation: 54-46=8 Current State: 47:[38, 77, 8], Operations: ['54-46=8'] Exploring Operation: 77-38=39, Resulting Numbers: [8, 39] Generated Node #3: [8, 39] from Operation: 77-38=39 Current State: 47:[8, 39], Operations: ['54-46=8', '77-38=39'] Exploring Operation: 8+39=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 54, 78, 18, 48 ]
69
[ "78*48=3744", "3744-18=3726", "3726/54=69" ]
Current State: 69:[54, 78, 18, 48], Operations: [] Exploring Operation: 78*48=3744, Resulting Numbers: [54, 18, 3744] Generated Node #2: [54, 18, 3744] from Operation: 78*48=3744 Current State: 69:[54, 18, 3744], Operations: ['78*48=3744'] Exploring Operation: 3744-18=3726, Resulting Numbers: [54, 3726] Generated Node #3: [54, 3726] from Operation: 3744-18=3726 Current State: 69:[54, 3726], Operations: ['78*48=3744', '3744-18=3726'] Exploring Operation: 3726/54=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 23, 92, 6, 90 ]
100
[ "23+92=115", "90/6=15", "115-15=100" ]
Current State: 100:[23, 92, 6, 90], Operations: [] Exploring Operation: 23+92=115, Resulting Numbers: [6, 90, 115] Generated Node #2: [6, 90, 115] from Operation: 23+92=115 Current State: 100:[6, 90, 115], Operations: ['23+92=115'] Exploring Operation: 90/6=15, Resulting Numbers: [115, 15] Generated Node #3: [115, 15] from Operation: 90/6=15 Current State: 100:[115, 15], Operations: ['23+92=115', '90/6=15'] Exploring Operation: 115-15=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 64, 36, 34, 43 ]
49
[ "64-36=28", "34+43=77", "77-28=49" ]
Current State: 49:[64, 36, 34, 43], Operations: [] Exploring Operation: 64-36=28, Resulting Numbers: [34, 43, 28] Generated Node #2: [34, 43, 28] from Operation: 64-36=28 Current State: 49:[34, 43, 28], Operations: ['64-36=28'] Exploring Operation: 34+43=77, Resulting Numbers: [28, 77] Generated Node #3: [28, 77] from Operation: 34+43=77 Current State: 49:[28, 77], Operations: ['64-36=28', '34+43=77'] Exploring Operation: 77-28=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 8, 44, 71, 80 ]
37
[ "80/8=10", "71-44=27", "10+27=37" ]
Current State: 37:[8, 44, 71, 80], Operations: [] Exploring Operation: 80/8=10, Resulting Numbers: [44, 71, 10] Generated Node #2: [44, 71, 10] from Operation: 80/8=10 Current State: 37:[44, 71, 10], Operations: ['80/8=10'] Exploring Operation: 71-44=27, Resulting Numbers: [10, 27] Generated Node #3: [10, 27] from Operation: 71-44=27 Current State: 37:[10, 27], Operations: ['80/8=10', '71-44=27'] Exploring Operation: 10+27=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 63, 24, 81, 26 ]
36
[ "81-63=18", "26-24=2", "18*2=36" ]
Current State: 36:[63, 24, 81, 26], Operations: [] Exploring Operation: 81-63=18, Resulting Numbers: [24, 26, 18] Generated Node #2: [24, 26, 18] from Operation: 81-63=18 Current State: 36:[24, 26, 18], Operations: ['81-63=18'] Exploring Operation: 26-24=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 26-24=2 Current State: 36:[18, 2], Operations: ['81-63=18', '26-24=2'] Exploring Operation: 18*2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 59, 76, 93, 44 ]
86
[ "59+76=135", "93-44=49", "135-49=86" ]
Current State: 86:[59, 76, 93, 44], Operations: [] Exploring Operation: 59+76=135, Resulting Numbers: [93, 44, 135] Generated Node #2: [93, 44, 135] from Operation: 59+76=135 Current State: 86:[93, 44, 135], Operations: ['59+76=135'] Exploring Operation: 93-44=49, Resulting Numbers: [135, 49] Generated Node #3: [135, 49] from Operation: 93-44=49 Current State: 86:[135, 49], Operations: ['59+76=135', '93-44=49'] Exploring Operation: 135-49=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 55, 26, 37, 9 ]
52
[ "55-37=18", "26*18=468", "468/9=52" ]
Current State: 52:[55, 26, 37, 9], Operations: [] Exploring Operation: 55-37=18, Resulting Numbers: [26, 9, 18] Generated Node #2: [26, 9, 18] from Operation: 55-37=18 Current State: 52:[26, 9, 18], Operations: ['55-37=18'] Exploring Operation: 26*18=468, Resulting Numbers: [9, 468] Generated Node #3: [9, 468] from Operation: 26*18=468 Current State: 52:[9, 468], Operations: ['55-37=18', '26*18=468'] Exploring Operation: 468/9=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 18, 85, 4, 59 ]
86
[ "85-59=26", "4*26=104", "104-18=86" ]
Current State: 86:[18, 85, 4, 59], Operations: [] Exploring Operation: 85-59=26, Resulting Numbers: [18, 4, 26] Generated Node #2: [18, 4, 26] from Operation: 85-59=26 Current State: 86:[18, 4, 26], Operations: ['85-59=26'] Exploring Operation: 4*26=104, Resulting Numbers: [18, 104] Generated Node #3: [18, 104] from Operation: 4*26=104 Current State: 86:[18, 104], Operations: ['85-59=26', '4*26=104'] Exploring Operation: 104-18=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 8, 67, 26, 47 ]
14
[ "67-8=59", "26+47=73", "73-59=14" ]
Current State: 14:[8, 67, 26, 47], Operations: [] Exploring Operation: 67-8=59, Resulting Numbers: [26, 47, 59] Generated Node #2: [26, 47, 59] from Operation: 67-8=59 Current State: 14:[26, 47, 59], Operations: ['67-8=59'] Exploring Operation: 26+47=73, Resulting Numbers: [59, 73] Generated Node #3: [59, 73] from Operation: 26+47=73 Current State: 14:[59, 73], Operations: ['67-8=59', '26+47=73'] Exploring Operation: 73-59=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 73, 17, 20, 97 ]
30
[ "73+97=170", "170/17=10", "20+10=30" ]
Current State: 30:[73, 17, 20, 97], Operations: [] Exploring Operation: 73+97=170, Resulting Numbers: [17, 20, 170] Generated Node #2: [17, 20, 170] from Operation: 73+97=170 Current State: 30:[17, 20, 170], Operations: ['73+97=170'] Exploring Operation: 170/17=10, Resulting Numbers: [20, 10] Generated Node #3: [20, 10] from Operation: 170/17=10 Current State: 30:[20, 10], Operations: ['73+97=170', '170/17=10'] Exploring Operation: 20+10=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 5, 4, 30, 85 ]
95
[ "5*4=20", "30+85=115", "115-20=95" ]
Current State: 95:[5, 4, 30, 85], Operations: [] Exploring Operation: 5*4=20, Resulting Numbers: [30, 85, 20] Generated Node #2: [30, 85, 20] from Operation: 5*4=20 Current State: 95:[30, 85, 20], Operations: ['5*4=20'] Exploring Operation: 30+85=115, Resulting Numbers: [20, 115] Generated Node #3: [20, 115] from Operation: 30+85=115 Current State: 95:[20, 115], Operations: ['5*4=20', '30+85=115'] Exploring Operation: 115-20=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 99, 46, 1, 12 ]
64
[ "99-46=53", "12-1=11", "53+11=64" ]
Current State: 64:[99, 46, 1, 12], Operations: [] Exploring Operation: 99-46=53, Resulting Numbers: [1, 12, 53] Generated Node #2: [1, 12, 53] from Operation: 99-46=53 Current State: 64:[1, 12, 53], Operations: ['99-46=53'] Exploring Operation: 12-1=11, Resulting Numbers: [53, 11] Generated Node #3: [53, 11] from Operation: 12-1=11 Current State: 64:[53, 11], Operations: ['99-46=53', '12-1=11'] Exploring Operation: 53+11=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 28, 90, 72, 50 ]
92
[ "28+72=100", "100/50=2", "90+2=92" ]
Current State: 92:[28, 90, 72, 50], Operations: [] Exploring Operation: 28+72=100, Resulting Numbers: [90, 50, 100] Generated Node #2: [90, 50, 100] from Operation: 28+72=100 Current State: 92:[90, 50, 100], Operations: ['28+72=100'] Exploring Operation: 100/50=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 100/50=2 Current State: 92:[90, 2], Operations: ['28+72=100', '100/50=2'] Exploring Operation: 90+2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 82, 13, 47, 35 ]
14
[ "82-47=35", "35/35=1", "13+1=14" ]
Current State: 14:[82, 13, 47, 35], Operations: [] Exploring Operation: 82-47=35, Resulting Numbers: [13, 35, 35] Generated Node #2: [13, 35, 35] from Operation: 82-47=35 Current State: 14:[13, 35, 35], Operations: ['82-47=35'] Exploring Operation: 35/35=1, Resulting Numbers: [13, 1] Generated Node #3: [13, 1] from Operation: 35/35=1 Current State: 14:[13, 1], Operations: ['82-47=35', '35/35=1'] Exploring Operation: 13+1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 1, 75, 5, 29 ]
81
[ "1+29=30", "30/5=6", "75+6=81" ]
Current State: 81:[1, 75, 5, 29], Operations: [] Exploring Operation: 1+29=30, Resulting Numbers: [75, 5, 30] Generated Node #2: [75, 5, 30] from Operation: 1+29=30 Current State: 81:[75, 5, 30], Operations: ['1+29=30'] Exploring Operation: 30/5=6, Resulting Numbers: [75, 6] Generated Node #3: [75, 6] from Operation: 30/5=6 Current State: 81:[75, 6], Operations: ['1+29=30', '30/5=6'] Exploring Operation: 75+6=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 77, 85, 8, 45 ]
89
[ "77-45=32", "32/8=4", "85+4=89" ]
Current State: 89:[77, 85, 8, 45], Operations: [] Exploring Operation: 77-45=32, Resulting Numbers: [85, 8, 32] Generated Node #2: [85, 8, 32] from Operation: 77-45=32 Current State: 89:[85, 8, 32], Operations: ['77-45=32'] Exploring Operation: 32/8=4, Resulting Numbers: [85, 4] Generated Node #3: [85, 4] from Operation: 32/8=4 Current State: 89:[85, 4], Operations: ['77-45=32', '32/8=4'] Exploring Operation: 85+4=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 52, 46, 94, 14 ]
87
[ "52+46=98", "98/14=7", "94-7=87" ]
Current State: 87:[52, 46, 94, 14], Operations: [] Exploring Operation: 52+46=98, Resulting Numbers: [94, 14, 98] Generated Node #2: [94, 14, 98] from Operation: 52+46=98 Current State: 87:[94, 14, 98], Operations: ['52+46=98'] Exploring Operation: 98/14=7, Resulting Numbers: [94, 7] Generated Node #3: [94, 7] from Operation: 98/14=7 Current State: 87:[94, 7], Operations: ['52+46=98', '98/14=7'] Exploring Operation: 94-7=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 14, 5, 2, 22 ]
81
[ "14*5=70", "22/2=11", "70+11=81" ]
Current State: 81:[14, 5, 2, 22], Operations: [] Exploring Operation: 14*5=70, Resulting Numbers: [2, 22, 70] Generated Node #2: [2, 22, 70] from Operation: 14*5=70 Current State: 81:[2, 22, 70], Operations: ['14*5=70'] Exploring Operation: 22/2=11, Resulting Numbers: [70, 11] Generated Node #3: [70, 11] from Operation: 22/2=11 Current State: 81:[70, 11], Operations: ['14*5=70', '22/2=11'] Exploring Operation: 70+11=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 4, 7, 48, 24 ]
36
[ "48/24=2", "7+2=9", "4*9=36" ]
Current State: 36:[4, 7, 48, 24], Operations: [] Exploring Operation: 48/24=2, Resulting Numbers: [4, 7, 2] Generated Node #2: [4, 7, 2] from Operation: 48/24=2 Current State: 36:[4, 7, 2], Operations: ['48/24=2'] Exploring Operation: 7+2=9, Resulting Numbers: [4, 9] Generated Node #3: [4, 9] from Operation: 7+2=9 Current State: 36:[4, 9], Operations: ['48/24=2', '7+2=9'] Exploring Operation: 4*9=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 62, 58, 6, 6 ]
60
[ "62-58=4", "6+4=10", "6*10=60" ]
Current State: 60:[62, 58, 6, 6], Operations: [] Exploring Operation: 62-58=4, Resulting Numbers: [6, 6, 4] Generated Node #2: [6, 6, 4] from Operation: 62-58=4 Current State: 60:[6, 6, 4], Operations: ['62-58=4'] Exploring Operation: 6+4=10, Resulting Numbers: [10] 10,60 equal: Goal Reached Exploring Operation: 6*10=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 68, 85, 69, 3 ]
81
[ "68+85=153", "69+3=72", "153-72=81" ]
Current State: 81:[68, 85, 69, 3], Operations: [] Exploring Operation: 68+85=153, Resulting Numbers: [69, 3, 153] Generated Node #2: [69, 3, 153] from Operation: 68+85=153 Current State: 81:[69, 3, 153], Operations: ['68+85=153'] Exploring Operation: 69+3=72, Resulting Numbers: [153, 72] Generated Node #3: [153, 72] from Operation: 69+3=72 Current State: 81:[153, 72], Operations: ['68+85=153', '69+3=72'] Exploring Operation: 153-72=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 13, 63, 88, 21 ]
98
[ "13+88=101", "63/21=3", "101-3=98" ]
Current State: 98:[13, 63, 88, 21], Operations: [] Exploring Operation: 13+88=101, Resulting Numbers: [63, 21, 101] Generated Node #2: [63, 21, 101] from Operation: 13+88=101 Current State: 98:[63, 21, 101], Operations: ['13+88=101'] Exploring Operation: 63/21=3, Resulting Numbers: [101, 3] Generated Node #3: [101, 3] from Operation: 63/21=3 Current State: 98:[101, 3], Operations: ['13+88=101', '63/21=3'] Exploring Operation: 101-3=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 39, 68, 2, 93 ]
35
[ "68-39=29", "2*29=58", "93-58=35" ]
Current State: 35:[39, 68, 2, 93], Operations: [] Exploring Operation: 68-39=29, Resulting Numbers: [2, 93, 29] Generated Node #2: [2, 93, 29] from Operation: 68-39=29 Current State: 35:[2, 93, 29], Operations: ['68-39=29'] Exploring Operation: 2*29=58, Resulting Numbers: [93, 58] Generated Node #3: [93, 58] from Operation: 2*29=58 Current State: 35:[93, 58], Operations: ['68-39=29', '2*29=58'] Exploring Operation: 93-58=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 15, 51, 37, 53 ]
54
[ "51-15=36", "37+53=90", "90-36=54" ]
Current State: 54:[15, 51, 37, 53], Operations: [] Exploring Operation: 51-15=36, Resulting Numbers: [37, 53, 36] Generated Node #2: [37, 53, 36] from Operation: 51-15=36 Current State: 54:[37, 53, 36], Operations: ['51-15=36'] Exploring Operation: 37+53=90, Resulting Numbers: [36, 90] Generated Node #3: [36, 90] from Operation: 37+53=90 Current State: 54:[36, 90], Operations: ['51-15=36', '37+53=90'] Exploring Operation: 90-36=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 8, 60, 29, 14 ]
81
[ "8*14=112", "60-29=31", "112-31=81" ]
Current State: 81:[8, 60, 29, 14], Operations: [] Exploring Operation: 8*14=112, Resulting Numbers: [60, 29, 112] Generated Node #2: [60, 29, 112] from Operation: 8*14=112 Current State: 81:[60, 29, 112], Operations: ['8*14=112'] Exploring Operation: 60-29=31, Resulting Numbers: [112, 31] Generated Node #3: [112, 31] from Operation: 60-29=31 Current State: 81:[112, 31], Operations: ['8*14=112', '60-29=31'] Exploring Operation: 112-31=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 31, 42, 47, 17 ]
44
[ "31-17=14", "42/14=3", "47-3=44" ]
Current State: 44:[31, 42, 47, 17], Operations: [] Exploring Operation: 31-17=14, Resulting Numbers: [42, 47, 14] Generated Node #2: [42, 47, 14] from Operation: 31-17=14 Current State: 44:[42, 47, 14], Operations: ['31-17=14'] Exploring Operation: 42/14=3, Resulting Numbers: [47, 3] Generated Node #3: [47, 3] from Operation: 42/14=3 Current State: 44:[47, 3], Operations: ['31-17=14', '42/14=3'] Exploring Operation: 47-3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 56, 76, 28, 57 ]
95
[ "56*76=4256", "4256/28=152", "152-57=95" ]
Current State: 95:[56, 76, 28, 57], Operations: [] Exploring Operation: 56*76=4256, Resulting Numbers: [28, 57, 4256] Generated Node #2: [28, 57, 4256] from Operation: 56*76=4256 Current State: 95:[28, 57, 4256], Operations: ['56*76=4256'] Exploring Operation: 4256/28=152, Resulting Numbers: [57, 152] Generated Node #3: [57, 152] from Operation: 4256/28=152 Current State: 95:[57, 152], Operations: ['56*76=4256', '4256/28=152'] Exploring Operation: 152-57=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 74, 14, 54, 18 ]
91
[ "74+14=88", "54/18=3", "88+3=91" ]
Current State: 91:[74, 14, 54, 18], Operations: [] Exploring Operation: 74+14=88, Resulting Numbers: [54, 18, 88] Generated Node #2: [54, 18, 88] from Operation: 74+14=88 Current State: 91:[54, 18, 88], Operations: ['74+14=88'] Exploring Operation: 54/18=3, Resulting Numbers: [88, 3] Generated Node #3: [88, 3] from Operation: 54/18=3 Current State: 91:[88, 3], Operations: ['74+14=88', '54/18=3'] Exploring Operation: 88+3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 47, 25, 27, 45 ]
90
[ "47+25=72", "45-27=18", "72+18=90" ]
Current State: 90:[47, 25, 27, 45], Operations: [] Exploring Operation: 47+25=72, Resulting Numbers: [27, 45, 72] Generated Node #2: [27, 45, 72] from Operation: 47+25=72 Current State: 90:[27, 45, 72], Operations: ['47+25=72'] Exploring Operation: 45-27=18, Resulting Numbers: [72, 18] Generated Node #3: [72, 18] from Operation: 45-27=18 Current State: 90:[72, 18], Operations: ['47+25=72', '45-27=18'] Exploring Operation: 72+18=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 34, 16, 89, 80 ]
59
[ "34+16=50", "89-80=9", "50+9=59" ]
Current State: 59:[34, 16, 89, 80], Operations: [] Exploring Operation: 34+16=50, Resulting Numbers: [89, 80, 50] Generated Node #2: [89, 80, 50] from Operation: 34+16=50 Current State: 59:[89, 80, 50], Operations: ['34+16=50'] Exploring Operation: 89-80=9, Resulting Numbers: [50, 9] Generated Node #3: [50, 9] from Operation: 89-80=9 Current State: 59:[50, 9], Operations: ['34+16=50', '89-80=9'] Exploring Operation: 50+9=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 42, 13, 22, 99 ]
66
[ "42+13=55", "22+99=121", "121-55=66" ]
Current State: 66:[42, 13, 22, 99], Operations: [] Exploring Operation: 42+13=55, Resulting Numbers: [22, 99, 55] Generated Node #2: [22, 99, 55] from Operation: 42+13=55 Current State: 66:[22, 99, 55], Operations: ['42+13=55'] Exploring Operation: 22+99=121, Resulting Numbers: [55, 121] Generated Node #3: [55, 121] from Operation: 22+99=121 Current State: 66:[55, 121], Operations: ['42+13=55', '22+99=121'] Exploring Operation: 121-55=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 52, 31, 47, 54 ]
90
[ "52+31=83", "54-47=7", "83+7=90" ]
Current State: 90:[52, 31, 47, 54], Operations: [] Exploring Operation: 52+31=83, Resulting Numbers: [47, 54, 83] Generated Node #2: [47, 54, 83] from Operation: 52+31=83 Current State: 90:[47, 54, 83], Operations: ['52+31=83'] Exploring Operation: 54-47=7, Resulting Numbers: [83, 7] Generated Node #3: [83, 7] from Operation: 54-47=7 Current State: 90:[83, 7], Operations: ['52+31=83', '54-47=7'] Exploring Operation: 83+7=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 28, 7, 13, 16 ]
89
[ "28-13=15", "7*15=105", "105-16=89" ]
Current State: 89:[28, 7, 13, 16], Operations: [] Exploring Operation: 28-13=15, Resulting Numbers: [7, 16, 15] Generated Node #2: [7, 16, 15] from Operation: 28-13=15 Current State: 89:[7, 16, 15], Operations: ['28-13=15'] Exploring Operation: 7*15=105, Resulting Numbers: [16, 105] Generated Node #3: [16, 105] from Operation: 7*15=105 Current State: 89:[16, 105], Operations: ['28-13=15', '7*15=105'] Exploring Operation: 105-16=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 2, 83, 63, 49 ]
63
[ "83-2=81", "49*81=3969", "3969/63=63" ]
Current State: 63:[2, 83, 63, 49], Operations: [] Exploring Operation: 83-2=81, Resulting Numbers: [63, 49, 81] Generated Node #2: [63, 49, 81] from Operation: 83-2=81 Current State: 63:[63, 49, 81], Operations: ['83-2=81'] Exploring Operation: 49*81=3969, Resulting Numbers: [63, 3969] Generated Node #3: [63, 3969] from Operation: 49*81=3969 Current State: 63:[63, 3969], Operations: ['83-2=81', '49*81=3969'] Exploring Operation: 3969/63=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 55, 30, 4, 47 ]
62
[ "55-47=8", "4*8=32", "30+32=62" ]
Current State: 62:[55, 30, 4, 47], Operations: [] Exploring Operation: 55-47=8, Resulting Numbers: [30, 4, 8] Generated Node #2: [30, 4, 8] from Operation: 55-47=8 Current State: 62:[30, 4, 8], Operations: ['55-47=8'] Exploring Operation: 4*8=32, Resulting Numbers: [30, 32] Generated Node #3: [30, 32] from Operation: 4*8=32 Current State: 62:[30, 32], Operations: ['55-47=8', '4*8=32'] Exploring Operation: 30+32=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 32, 40, 36, 62 ]
72
[ "36-32=4", "40/4=10", "62+10=72" ]
Current State: 72:[32, 40, 36, 62], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [40, 62, 4] Generated Node #2: [40, 62, 4] from Operation: 36-32=4 Current State: 72:[40, 62, 4], Operations: ['36-32=4'] Exploring Operation: 40/4=10, Resulting Numbers: [62, 10] Generated Node #3: [62, 10] from Operation: 40/4=10 Current State: 72:[62, 10], Operations: ['36-32=4', '40/4=10'] Exploring Operation: 62+10=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4