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
[ 42, 34, 40, 6 ]
60
[ "42*40=1680", "34-6=28", "1680/28=60" ]
Current State: 60:[42, 34, 40, 6], Operations: [] Exploring Operation: 42*40=1680, Resulting Numbers: [34, 6, 1680] Generated Node #2: [34, 6, 1680] from Operation: 42*40=1680 Current State: 60:[34, 6, 1680], Operations: ['42*40=1680'] Exploring Operation: 34-6=28, Resulting Numbers: [1680, 28] Generated Node #3: [1680, 28] from Operation: 34-6=28 Current State: 60:[1680, 28], Operations: ['42*40=1680', '34-6=28'] Exploring Operation: 1680/28=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 24, 72, 9, 18 ]
15
[ "72/24=3", "9/3=3", "18-3=15" ]
Current State: 15:[24, 72, 9, 18], Operations: [] Exploring Operation: 72/24=3, Resulting Numbers: [9, 18, 3] Generated Node #2: [9, 18, 3] from Operation: 72/24=3 Current State: 15:[9, 18, 3], Operations: ['72/24=3'] Exploring Operation: 9/3=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 9/3=3 Current State: 15:[18, 3], Operations: ['72/24=3', '9/3=3'] Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 44, 70, 10, 75 ]
91
[ "70-44=26", "75-10=65", "26+65=91" ]
Current State: 91:[44, 70, 10, 75], Operations: [] Exploring Operation: 70-44=26, Resulting Numbers: [10, 75, 26] Generated Node #2: [10, 75, 26] from Operation: 70-44=26 Current State: 91:[10, 75, 26], Operations: ['70-44=26'] Exploring Operation: 75-10=65, Resulting Numbers: [26, 65] Generated Node #3: [26, 65] from Operation: 75-10=65 Current State: 91:[26, 65], Operations: ['70-44=26', '75-10=65'] Exploring Operation: 26+65=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 2, 94, 63, 22 ]
84
[ "94-63=31", "2*31=62", "22+62=84" ]
Current State: 84:[2, 94, 63, 22], Operations: [] Exploring Operation: 94-63=31, Resulting Numbers: [2, 22, 31] Generated Node #2: [2, 22, 31] from Operation: 94-63=31 Current State: 84:[2, 22, 31], Operations: ['94-63=31'] Exploring Operation: 2*31=62, Resulting Numbers: [22, 62] Generated Node #3: [22, 62] from Operation: 2*31=62 Current State: 84:[22, 62], Operations: ['94-63=31', '2*31=62'] Exploring Operation: 22+62=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 91, 89, 78, 59 ]
21
[ "91-89=2", "78-59=19", "2+19=21" ]
Current State: 21:[91, 89, 78, 59], Operations: [] Exploring Operation: 91-89=2, Resulting Numbers: [78, 59, 2] Generated Node #2: [78, 59, 2] from Operation: 91-89=2 Current State: 21:[78, 59, 2], Operations: ['91-89=2'] Exploring Operation: 78-59=19, Resulting Numbers: [2, 19] Generated Node #3: [2, 19] from Operation: 78-59=19 Current State: 21:[2, 19], Operations: ['91-89=2', '78-59=19'] Exploring Operation: 2+19=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 1, 44, 42, 67 ]
67
[ "44-1=43", "43-42=1", "67*1=67" ]
Current State: 67:[1, 44, 42, 67], Operations: [] Exploring Operation: 44-1=43, Resulting Numbers: [42, 67, 43] Generated Node #2: [42, 67, 43] from Operation: 44-1=43 Current State: 67:[42, 67, 43], Operations: ['44-1=43'] Exploring Operation: 43-42=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 43-42=1 Current State: 67:[67, 1], Operations: ['44-1=43', '43-42=1'] Exploring Operation: 67*1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 64, 14, 74, 54 ]
66
[ "64-54=10", "14*10=140", "140-74=66" ]
Current State: 66:[64, 14, 74, 54], Operations: [] Exploring Operation: 64-54=10, Resulting Numbers: [14, 74, 10] Generated Node #2: [14, 74, 10] from Operation: 64-54=10 Current State: 66:[14, 74, 10], Operations: ['64-54=10'] Exploring Operation: 14*10=140, Resulting Numbers: [74, 140] Generated Node #3: [74, 140] from Operation: 14*10=140 Current State: 66:[74, 140], Operations: ['64-54=10', '14*10=140'] Exploring Operation: 140-74=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 56, 56, 83, 77 ]
83
[ "56-56=0", "77*0=0", "83+0=83" ]
Current State: 83:[56, 56, 83, 77], Operations: [] Exploring Operation: 56-56=0, Resulting Numbers: [83, 77, 0] Generated Node #2: [83, 77, 0] from Operation: 56-56=0 Current State: 83:[83, 77, 0], Operations: ['56-56=0'] Exploring Operation: 77*0=0, Resulting Numbers: [83, 0] Generated Node #3: [83, 0] from Operation: 77*0=0 Current State: 83:[83, 0], Operations: ['56-56=0', '77*0=0'] Exploring Operation: 83+0=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 24, 44, 13, 64 ]
52
[ "24+44=68", "68-64=4", "13*4=52" ]
Current State: 52:[24, 44, 13, 64], Operations: [] Exploring Operation: 24+44=68, Resulting Numbers: [13, 64, 68] Generated Node #2: [13, 64, 68] from Operation: 24+44=68 Current State: 52:[13, 64, 68], Operations: ['24+44=68'] Exploring Operation: 68-64=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 68-64=4 Current State: 52:[13, 4], Operations: ['24+44=68', '68-64=4'] Exploring Operation: 13*4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 5, 7, 47, 48 ]
11
[ "5+7=12", "48-47=1", "12-1=11" ]
Current State: 11:[5, 7, 47, 48], Operations: [] Exploring Operation: 5+7=12, Resulting Numbers: [47, 48, 12] Generated Node #2: [47, 48, 12] from Operation: 5+7=12 Current State: 11:[47, 48, 12], Operations: ['5+7=12'] Exploring Operation: 48-47=1, Resulting Numbers: [12, 1] Generated Node #3: [12, 1] from Operation: 48-47=1 Current State: 11:[12, 1], Operations: ['5+7=12', '48-47=1'] Exploring Operation: 12-1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 67, 45, 55, 80 ]
23
[ "67+45=112", "55+80=135", "135-112=23" ]
Current State: 23:[67, 45, 55, 80], Operations: [] Exploring Operation: 67+45=112, Resulting Numbers: [55, 80, 112] Generated Node #2: [55, 80, 112] from Operation: 67+45=112 Current State: 23:[55, 80, 112], Operations: ['67+45=112'] Exploring Operation: 55+80=135, Resulting Numbers: [112, 135] Generated Node #3: [112, 135] from Operation: 55+80=135 Current State: 23:[112, 135], Operations: ['67+45=112', '55+80=135'] Exploring Operation: 135-112=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 36, 33, 53, 95 ]
39
[ "36-33=3", "95-53=42", "42-3=39" ]
Current State: 39:[36, 33, 53, 95], Operations: [] Exploring Operation: 36-33=3, Resulting Numbers: [53, 95, 3] Generated Node #2: [53, 95, 3] from Operation: 36-33=3 Current State: 39:[53, 95, 3], Operations: ['36-33=3'] Exploring Operation: 95-53=42, Resulting Numbers: [3, 42] Generated Node #3: [3, 42] from Operation: 95-53=42 Current State: 39:[3, 42], Operations: ['36-33=3', '95-53=42'] Exploring Operation: 42-3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 82, 43, 2, 54 ]
91
[ "82-43=39", "54-2=52", "39+52=91" ]
Current State: 91:[82, 43, 2, 54], Operations: [] Exploring Operation: 82-43=39, Resulting Numbers: [2, 54, 39] Generated Node #2: [2, 54, 39] from Operation: 82-43=39 Current State: 91:[2, 54, 39], Operations: ['82-43=39'] Exploring Operation: 54-2=52, Resulting Numbers: [39, 52] Generated Node #3: [39, 52] from Operation: 54-2=52 Current State: 91:[39, 52], Operations: ['82-43=39', '54-2=52'] Exploring Operation: 39+52=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 88, 91, 91, 18 ]
18
[ "91-91=0", "88*0=0", "18+0=18" ]
Current State: 18:[88, 91, 91, 18], Operations: [] Exploring Operation: 91-91=0, Resulting Numbers: [88, 18, 0] Generated Node #2: [88, 18, 0] from Operation: 91-91=0 Current State: 18:[88, 18, 0], Operations: ['91-91=0'] Exploring Operation: 88*0=0, Resulting Numbers: [18, 0] Generated Node #3: [18, 0] from Operation: 88*0=0 Current State: 18:[18, 0], Operations: ['91-91=0', '88*0=0'] Exploring Operation: 18+0=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 85, 22, 95, 2 ]
61
[ "95-22=73", "2*73=146", "146-85=61" ]
Current State: 61:[85, 22, 95, 2], Operations: [] Exploring Operation: 95-22=73, Resulting Numbers: [85, 2, 73] Generated Node #2: [85, 2, 73] from Operation: 95-22=73 Current State: 61:[85, 2, 73], Operations: ['95-22=73'] Exploring Operation: 2*73=146, Resulting Numbers: [85, 146] Generated Node #3: [85, 146] from Operation: 2*73=146 Current State: 61:[85, 146], Operations: ['95-22=73', '2*73=146'] Exploring Operation: 146-85=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 29, 64, 85, 32 ]
28
[ "85-29=56", "64/32=2", "56/2=28" ]
Current State: 28:[29, 64, 85, 32], Operations: [] Exploring Operation: 85-29=56, Resulting Numbers: [64, 32, 56] Generated Node #2: [64, 32, 56] from Operation: 85-29=56 Current State: 28:[64, 32, 56], Operations: ['85-29=56'] Exploring Operation: 64/32=2, Resulting Numbers: [56, 2] Generated Node #3: [56, 2] from Operation: 64/32=2 Current State: 28:[56, 2], Operations: ['85-29=56', '64/32=2'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 4, 53, 94, 82 ]
56
[ "94-82=12", "12/4=3", "53+3=56" ]
Current State: 56:[4, 53, 94, 82], Operations: [] Exploring Operation: 94-82=12, Resulting Numbers: [4, 53, 12] Generated Node #2: [4, 53, 12] from Operation: 94-82=12 Current State: 56:[4, 53, 12], Operations: ['94-82=12'] Exploring Operation: 12/4=3, Resulting Numbers: [53, 3] Generated Node #3: [53, 3] from Operation: 12/4=3 Current State: 56:[53, 3], Operations: ['94-82=12', '12/4=3'] Exploring Operation: 53+3=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 8, 32, 48, 42 ]
35
[ "8+32=40", "42*40=1680", "1680/48=35" ]
Current State: 35:[8, 32, 48, 42], Operations: [] Exploring Operation: 8+32=40, Resulting Numbers: [48, 42, 40] Generated Node #2: [48, 42, 40] from Operation: 8+32=40 Current State: 35:[48, 42, 40], Operations: ['8+32=40'] Exploring Operation: 42*40=1680, Resulting Numbers: [48, 1680] Generated Node #3: [48, 1680] from Operation: 42*40=1680 Current State: 35:[48, 1680], Operations: ['8+32=40', '42*40=1680'] Exploring Operation: 1680/48=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 60, 65, 2, 66 ]
22
[ "65-60=5", "5-2=3", "66/3=22" ]
Current State: 22:[60, 65, 2, 66], Operations: [] Exploring Operation: 65-60=5, Resulting Numbers: [2, 66, 5] Generated Node #2: [2, 66, 5] from Operation: 65-60=5 Current State: 22:[2, 66, 5], Operations: ['65-60=5'] Exploring Operation: 5-2=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 5-2=3 Current State: 22:[66, 3], Operations: ['65-60=5', '5-2=3'] Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 64, 3, 38, 28 ]
77
[ "64+3=67", "38-28=10", "67+10=77" ]
Current State: 77:[64, 3, 38, 28], Operations: [] Exploring Operation: 64+3=67, Resulting Numbers: [38, 28, 67] Generated Node #2: [38, 28, 67] from Operation: 64+3=67 Current State: 77:[38, 28, 67], Operations: ['64+3=67'] Exploring Operation: 38-28=10, Resulting Numbers: [67, 10] Generated Node #3: [67, 10] from Operation: 38-28=10 Current State: 77:[67, 10], Operations: ['64+3=67', '38-28=10'] Exploring Operation: 67+10=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 39, 34, 27, 73 ]
95
[ "39-34=5", "27+73=100", "100-5=95" ]
Current State: 95:[39, 34, 27, 73], Operations: [] Exploring Operation: 39-34=5, Resulting Numbers: [27, 73, 5] Generated Node #2: [27, 73, 5] from Operation: 39-34=5 Current State: 95:[27, 73, 5], Operations: ['39-34=5'] Exploring Operation: 27+73=100, Resulting Numbers: [5, 100] Generated Node #3: [5, 100] from Operation: 27+73=100 Current State: 95:[5, 100], Operations: ['39-34=5', '27+73=100'] Exploring Operation: 100-5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 28, 6, 92, 77 ]
57
[ "28+92=120", "120/6=20", "77-20=57" ]
Current State: 57:[28, 6, 92, 77], Operations: [] Exploring Operation: 28+92=120, Resulting Numbers: [6, 77, 120] Generated Node #2: [6, 77, 120] from Operation: 28+92=120 Current State: 57:[6, 77, 120], Operations: ['28+92=120'] Exploring Operation: 120/6=20, Resulting Numbers: [77, 20] Generated Node #3: [77, 20] from Operation: 120/6=20 Current State: 57:[77, 20], Operations: ['28+92=120', '120/6=20'] Exploring Operation: 77-20=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 33, 85, 87, 80 ]
24
[ "33+87=120", "85-80=5", "120/5=24" ]
Current State: 24:[33, 85, 87, 80], Operations: [] Exploring Operation: 33+87=120, Resulting Numbers: [85, 80, 120] Generated Node #2: [85, 80, 120] from Operation: 33+87=120 Current State: 24:[85, 80, 120], Operations: ['33+87=120'] Exploring Operation: 85-80=5, Resulting Numbers: [120, 5] Generated Node #3: [120, 5] from Operation: 85-80=5 Current State: 24:[120, 5], Operations: ['33+87=120', '85-80=5'] Exploring Operation: 120/5=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 53, 92, 13, 4 ]
56
[ "92-53=39", "13+4=17", "39+17=56" ]
Current State: 56:[53, 92, 13, 4], Operations: [] Exploring Operation: 92-53=39, Resulting Numbers: [13, 4, 39] Generated Node #2: [13, 4, 39] from Operation: 92-53=39 Current State: 56:[13, 4, 39], Operations: ['92-53=39'] Exploring Operation: 13+4=17, Resulting Numbers: [39, 17] Generated Node #3: [39, 17] from Operation: 13+4=17 Current State: 56:[39, 17], Operations: ['92-53=39', '13+4=17'] Exploring Operation: 39+17=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 70, 40, 14, 5 ]
50
[ "70/14=5", "40+5=45", "5+45=50" ]
Current State: 50:[70, 40, 14, 5], Operations: [] Exploring Operation: 70/14=5, Resulting Numbers: [40, 5, 5] Generated Node #2: [40, 5, 5] from Operation: 70/14=5 Current State: 50:[40, 5, 5], Operations: ['70/14=5'] Exploring Operation: 40+5=45, Resulting Numbers: [45] 45,50 equal: Goal Reached Exploring Operation: 5+45=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 47, 23, 25, 93 ]
70
[ "47+93=140", "25-23=2", "140/2=70" ]
Current State: 70:[47, 23, 25, 93], Operations: [] Exploring Operation: 47+93=140, Resulting Numbers: [23, 25, 140] Generated Node #2: [23, 25, 140] from Operation: 47+93=140 Current State: 70:[23, 25, 140], Operations: ['47+93=140'] Exploring Operation: 25-23=2, Resulting Numbers: [140, 2] Generated Node #3: [140, 2] from Operation: 25-23=2 Current State: 70:[140, 2], Operations: ['47+93=140', '25-23=2'] Exploring Operation: 140/2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 2, 84, 91, 90 ]
88
[ "90-84=6", "6/2=3", "91-3=88" ]
Current State: 88:[2, 84, 91, 90], Operations: [] Exploring Operation: 90-84=6, Resulting Numbers: [2, 91, 6] Generated Node #2: [2, 91, 6] from Operation: 90-84=6 Current State: 88:[2, 91, 6], Operations: ['90-84=6'] Exploring Operation: 6/2=3, Resulting Numbers: [91, 3] Generated Node #3: [91, 3] from Operation: 6/2=3 Current State: 88:[91, 3], Operations: ['90-84=6', '6/2=3'] Exploring Operation: 91-3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 31, 66, 64, 63 ]
96
[ "31+66=97", "64-63=1", "97-1=96" ]
Current State: 96:[31, 66, 64, 63], Operations: [] Exploring Operation: 31+66=97, Resulting Numbers: [64, 63, 97] Generated Node #2: [64, 63, 97] from Operation: 31+66=97 Current State: 96:[64, 63, 97], Operations: ['31+66=97'] Exploring Operation: 64-63=1, Resulting Numbers: [97, 1] Generated Node #3: [97, 1] from Operation: 64-63=1 Current State: 96:[97, 1], Operations: ['31+66=97', '64-63=1'] Exploring Operation: 97-1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 12, 82, 81, 83 ]
95
[ "12+83=95", "82-81=1", "95*1=95" ]
Current State: 95:[12, 82, 81, 83], Operations: [] Exploring Operation: 12+83=95, Resulting Numbers: [82, 81, 95] Generated Node #2: [82, 81, 95] from Operation: 12+83=95 Current State: 95:[82, 81, 95], Operations: ['12+83=95'] Exploring Operation: 82-81=1, Resulting Numbers: [95, 1] Generated Node #3: [95, 1] from Operation: 82-81=1 Current State: 95:[95, 1], Operations: ['12+83=95', '82-81=1'] Exploring Operation: 95*1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 1, 88, 73, 5 ]
74
[ "88-73=15", "5*15=75", "75-1=74" ]
Current State: 74:[1, 88, 73, 5], Operations: [] Exploring Operation: 88-73=15, Resulting Numbers: [1, 5, 15] Generated Node #2: [1, 5, 15] from Operation: 88-73=15 Current State: 74:[1, 5, 15], Operations: ['88-73=15'] Exploring Operation: 5*15=75, Resulting Numbers: [1, 75] Generated Node #3: [1, 75] from Operation: 5*15=75 Current State: 74:[1, 75], Operations: ['88-73=15', '5*15=75'] Exploring Operation: 75-1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 14, 17, 30, 86 ]
96
[ "17-14=3", "30/3=10", "86+10=96" ]
Current State: 96:[14, 17, 30, 86], Operations: [] Exploring Operation: 17-14=3, Resulting Numbers: [30, 86, 3] Generated Node #2: [30, 86, 3] from Operation: 17-14=3 Current State: 96:[30, 86, 3], Operations: ['17-14=3'] Exploring Operation: 30/3=10, Resulting Numbers: [86, 10] Generated Node #3: [86, 10] from Operation: 30/3=10 Current State: 96:[86, 10], Operations: ['17-14=3', '30/3=10'] Exploring Operation: 86+10=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 98, 30, 79, 69 ]
78
[ "98-30=68", "79-69=10", "68+10=78" ]
Current State: 78:[98, 30, 79, 69], Operations: [] Exploring Operation: 98-30=68, Resulting Numbers: [79, 69, 68] Generated Node #2: [79, 69, 68] from Operation: 98-30=68 Current State: 78:[79, 69, 68], Operations: ['98-30=68'] Exploring Operation: 79-69=10, Resulting Numbers: [68, 10] Generated Node #3: [68, 10] from Operation: 79-69=10 Current State: 78:[68, 10], Operations: ['98-30=68', '79-69=10'] Exploring Operation: 68+10=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 51, 90, 82, 53 ]
98
[ "53-51=2", "90*2=180", "180-82=98" ]
Current State: 98:[51, 90, 82, 53], Operations: [] Exploring Operation: 53-51=2, Resulting Numbers: [90, 82, 2] Generated Node #2: [90, 82, 2] from Operation: 53-51=2 Current State: 98:[90, 82, 2], Operations: ['53-51=2'] Exploring Operation: 90*2=180, Resulting Numbers: [82, 180] Generated Node #3: [82, 180] from Operation: 90*2=180 Current State: 98:[82, 180], Operations: ['53-51=2', '90*2=180'] Exploring Operation: 180-82=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 26, 95, 87, 17 ]
90
[ "95-17=78", "78/26=3", "87+3=90" ]
Current State: 90:[26, 95, 87, 17], Operations: [] Exploring Operation: 95-17=78, Resulting Numbers: [26, 87, 78] Generated Node #2: [26, 87, 78] from Operation: 95-17=78 Current State: 90:[26, 87, 78], Operations: ['95-17=78'] Exploring Operation: 78/26=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 78/26=3 Current State: 90:[87, 3], Operations: ['95-17=78', '78/26=3'] Exploring Operation: 87+3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 28, 23, 56, 71 ]
10
[ "28-23=5", "71-56=15", "15-5=10" ]
Current State: 10:[28, 23, 56, 71], Operations: [] Exploring Operation: 28-23=5, Resulting Numbers: [56, 71, 5] Generated Node #2: [56, 71, 5] from Operation: 28-23=5 Current State: 10:[56, 71, 5], Operations: ['28-23=5'] Exploring Operation: 71-56=15, Resulting Numbers: [5, 15] Generated Node #3: [5, 15] from Operation: 71-56=15 Current State: 10:[5, 15], Operations: ['28-23=5', '71-56=15'] Exploring Operation: 15-5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 40, 13, 25, 43 ]
88
[ "43-40=3", "25*3=75", "13+75=88" ]
Current State: 88:[40, 13, 25, 43], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [13, 25, 3] Generated Node #2: [13, 25, 3] from Operation: 43-40=3 Current State: 88:[13, 25, 3], Operations: ['43-40=3'] Exploring Operation: 25*3=75, Resulting Numbers: [13, 75] Generated Node #3: [13, 75] from Operation: 25*3=75 Current State: 88:[13, 75], Operations: ['43-40=3', '25*3=75'] Exploring Operation: 13+75=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 4, 22, 67, 92 ]
63
[ "4*22=88", "92-67=25", "88-25=63" ]
Current State: 63:[4, 22, 67, 92], Operations: [] Exploring Operation: 4*22=88, Resulting Numbers: [67, 92, 88] Generated Node #2: [67, 92, 88] from Operation: 4*22=88 Current State: 63:[67, 92, 88], Operations: ['4*22=88'] Exploring Operation: 92-67=25, Resulting Numbers: [88, 25] Generated Node #3: [88, 25] from Operation: 92-67=25 Current State: 63:[88, 25], Operations: ['4*22=88', '92-67=25'] Exploring Operation: 88-25=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 97, 45, 23, 40 ]
48
[ "97+23=120", "120/40=3", "45+3=48" ]
Current State: 48:[97, 45, 23, 40], Operations: [] Exploring Operation: 97+23=120, Resulting Numbers: [45, 40, 120] Generated Node #2: [45, 40, 120] from Operation: 97+23=120 Current State: 48:[45, 40, 120], Operations: ['97+23=120'] Exploring Operation: 120/40=3, Resulting Numbers: [45, 3] Generated Node #3: [45, 3] from Operation: 120/40=3 Current State: 48:[45, 3], Operations: ['97+23=120', '120/40=3'] Exploring Operation: 45+3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 81, 18, 12, 13 ]
98
[ "81+18=99", "13-12=1", "99-1=98" ]
Current State: 98:[81, 18, 12, 13], Operations: [] Exploring Operation: 81+18=99, Resulting Numbers: [12, 13, 99] Generated Node #2: [12, 13, 99] from Operation: 81+18=99 Current State: 98:[12, 13, 99], Operations: ['81+18=99'] Exploring Operation: 13-12=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 13-12=1 Current State: 98:[99, 1], Operations: ['81+18=99', '13-12=1'] Exploring Operation: 99-1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 75, 16, 88, 37 ]
40
[ "75+16=91", "88-37=51", "91-51=40" ]
Current State: 40:[75, 16, 88, 37], Operations: [] Exploring Operation: 75+16=91, Resulting Numbers: [88, 37, 91] Generated Node #2: [88, 37, 91] from Operation: 75+16=91 Current State: 40:[88, 37, 91], Operations: ['75+16=91'] Exploring Operation: 88-37=51, Resulting Numbers: [91, 51] Generated Node #3: [91, 51] from Operation: 88-37=51 Current State: 40:[91, 51], Operations: ['75+16=91', '88-37=51'] Exploring Operation: 91-51=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 28, 41, 86, 3 ]
13
[ "86-41=45", "45/3=15", "28-15=13" ]
Current State: 13:[28, 41, 86, 3], Operations: [] Exploring Operation: 86-41=45, Resulting Numbers: [28, 3, 45] Generated Node #2: [28, 3, 45] from Operation: 86-41=45 Current State: 13:[28, 3, 45], Operations: ['86-41=45'] Exploring Operation: 45/3=15, Resulting Numbers: [28, 15] Generated Node #3: [28, 15] from Operation: 45/3=15 Current State: 13:[28, 15], Operations: ['86-41=45', '45/3=15'] Exploring Operation: 28-15=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 48, 30, 27, 96 ]
33
[ "96/48=2", "30*2=60", "60-27=33" ]
Current State: 33:[48, 30, 27, 96], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [30, 27, 2] Generated Node #2: [30, 27, 2] from Operation: 96/48=2 Current State: 33:[30, 27, 2], Operations: ['96/48=2'] Exploring Operation: 30*2=60, Resulting Numbers: [27, 60] Generated Node #3: [27, 60] from Operation: 30*2=60 Current State: 33:[27, 60], Operations: ['96/48=2', '30*2=60'] Exploring Operation: 60-27=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 70, 3, 7, 71 ]
11
[ "70-3=67", "7+71=78", "78-67=11" ]
Current State: 11:[70, 3, 7, 71], Operations: [] Exploring Operation: 70-3=67, Resulting Numbers: [7, 71, 67] Generated Node #2: [7, 71, 67] from Operation: 70-3=67 Current State: 11:[7, 71, 67], Operations: ['70-3=67'] Exploring Operation: 7+71=78, Resulting Numbers: [67, 78] Generated Node #3: [67, 78] from Operation: 7+71=78 Current State: 11:[67, 78], Operations: ['70-3=67', '7+71=78'] Exploring Operation: 78-67=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 13, 4, 2, 28 ]
89
[ "13*28=364", "364/4=91", "91-2=89" ]
Current State: 89:[13, 4, 2, 28], Operations: [] Exploring Operation: 13*28=364, Resulting Numbers: [4, 2, 364] Generated Node #2: [4, 2, 364] from Operation: 13*28=364 Current State: 89:[4, 2, 364], Operations: ['13*28=364'] Exploring Operation: 364/4=91, Resulting Numbers: [2, 91] Generated Node #3: [2, 91] from Operation: 364/4=91 Current State: 89:[2, 91], Operations: ['13*28=364', '364/4=91'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 29, 3, 35, 74 ]
48
[ "29*3=87", "74-35=39", "87-39=48" ]
Current State: 48:[29, 3, 35, 74], Operations: [] Exploring Operation: 29*3=87, Resulting Numbers: [35, 74, 87] Generated Node #2: [35, 74, 87] from Operation: 29*3=87 Current State: 48:[35, 74, 87], Operations: ['29*3=87'] Exploring Operation: 74-35=39, Resulting Numbers: [87, 39] Generated Node #3: [87, 39] from Operation: 74-35=39 Current State: 48:[87, 39], Operations: ['29*3=87', '74-35=39'] Exploring Operation: 87-39=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 63, 62, 32, 3 ]
28
[ "63-62=1", "32-3=29", "29-1=28" ]
Current State: 28:[63, 62, 32, 3], Operations: [] Exploring Operation: 63-62=1, Resulting Numbers: [32, 3, 1] Generated Node #2: [32, 3, 1] from Operation: 63-62=1 Current State: 28:[32, 3, 1], Operations: ['63-62=1'] Exploring Operation: 32-3=29, Resulting Numbers: [1, 29] Generated Node #3: [1, 29] from Operation: 32-3=29 Current State: 28:[1, 29], Operations: ['63-62=1', '32-3=29'] Exploring Operation: 29-1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 86, 91, 18, 82 ]
77
[ "86+91=177", "18+82=100", "177-100=77" ]
Current State: 77:[86, 91, 18, 82], Operations: [] Exploring Operation: 86+91=177, Resulting Numbers: [18, 82, 177] Generated Node #2: [18, 82, 177] from Operation: 86+91=177 Current State: 77:[18, 82, 177], Operations: ['86+91=177'] Exploring Operation: 18+82=100, Resulting Numbers: [177, 100] Generated Node #3: [177, 100] from Operation: 18+82=100 Current State: 77:[177, 100], Operations: ['86+91=177', '18+82=100'] Exploring Operation: 177-100=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 87, 33, 31, 25 ]
66
[ "87-25=62", "33*62=2046", "2046/31=66" ]
Current State: 66:[87, 33, 31, 25], Operations: [] Exploring Operation: 87-25=62, Resulting Numbers: [33, 31, 62] Generated Node #2: [33, 31, 62] from Operation: 87-25=62 Current State: 66:[33, 31, 62], Operations: ['87-25=62'] Exploring Operation: 33*62=2046, Resulting Numbers: [31, 2046] Generated Node #3: [31, 2046] from Operation: 33*62=2046 Current State: 66:[31, 2046], Operations: ['87-25=62', '33*62=2046'] Exploring Operation: 2046/31=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 3, 19, 72, 94 ]
47
[ "94-19=75", "75/3=25", "72-25=47" ]
Current State: 47:[3, 19, 72, 94], Operations: [] Exploring Operation: 94-19=75, Resulting Numbers: [3, 72, 75] Generated Node #2: [3, 72, 75] from Operation: 94-19=75 Current State: 47:[3, 72, 75], Operations: ['94-19=75'] Exploring Operation: 75/3=25, Resulting Numbers: [72, 25] Generated Node #3: [72, 25] from Operation: 75/3=25 Current State: 47:[72, 25], Operations: ['94-19=75', '75/3=25'] Exploring Operation: 72-25=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 53, 41, 29, 26 ]
91
[ "53+41=94", "29-26=3", "94-3=91" ]
Current State: 91:[53, 41, 29, 26], Operations: [] Exploring Operation: 53+41=94, Resulting Numbers: [29, 26, 94] Generated Node #2: [29, 26, 94] from Operation: 53+41=94 Current State: 91:[29, 26, 94], Operations: ['53+41=94'] Exploring Operation: 29-26=3, Resulting Numbers: [94, 3] Generated Node #3: [94, 3] from Operation: 29-26=3 Current State: 91:[94, 3], Operations: ['53+41=94', '29-26=3'] Exploring Operation: 94-3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 63, 15, 99, 40 ]
61
[ "63+15=78", "99+40=139", "139-78=61" ]
Current State: 61:[63, 15, 99, 40], Operations: [] Exploring Operation: 63+15=78, Resulting Numbers: [99, 40, 78] Generated Node #2: [99, 40, 78] from Operation: 63+15=78 Current State: 61:[99, 40, 78], Operations: ['63+15=78'] Exploring Operation: 99+40=139, Resulting Numbers: [78, 139] Generated Node #3: [78, 139] from Operation: 99+40=139 Current State: 61:[78, 139], Operations: ['63+15=78', '99+40=139'] Exploring Operation: 139-78=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 40, 81, 7, 70 ]
77
[ "40*7=280", "280/70=4", "81-4=77" ]
Current State: 77:[40, 81, 7, 70], Operations: [] Exploring Operation: 40*7=280, Resulting Numbers: [81, 70, 280] Generated Node #2: [81, 70, 280] from Operation: 40*7=280 Current State: 77:[81, 70, 280], Operations: ['40*7=280'] Exploring Operation: 280/70=4, Resulting Numbers: [81, 4] Generated Node #3: [81, 4] from Operation: 280/70=4 Current State: 77:[81, 4], Operations: ['40*7=280', '280/70=4'] Exploring Operation: 81-4=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 61, 21, 97, 65 ]
50
[ "61+21=82", "97-65=32", "82-32=50" ]
Current State: 50:[61, 21, 97, 65], Operations: [] Exploring Operation: 61+21=82, Resulting Numbers: [97, 65, 82] Generated Node #2: [97, 65, 82] from Operation: 61+21=82 Current State: 50:[97, 65, 82], Operations: ['61+21=82'] Exploring Operation: 97-65=32, Resulting Numbers: [82, 32] Generated Node #3: [82, 32] from Operation: 97-65=32 Current State: 50:[82, 32], Operations: ['61+21=82', '97-65=32'] Exploring Operation: 82-32=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 43, 91, 33, 79 ]
22
[ "43+91=134", "33+79=112", "134-112=22" ]
Current State: 22:[43, 91, 33, 79], Operations: [] Exploring Operation: 43+91=134, Resulting Numbers: [33, 79, 134] Generated Node #2: [33, 79, 134] from Operation: 43+91=134 Current State: 22:[33, 79, 134], Operations: ['43+91=134'] Exploring Operation: 33+79=112, Resulting Numbers: [134, 112] Generated Node #3: [134, 112] from Operation: 33+79=112 Current State: 22:[134, 112], Operations: ['43+91=134', '33+79=112'] Exploring Operation: 134-112=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 57, 51, 42, 44 ]
92
[ "57-51=6", "42+44=86", "6+86=92" ]
Current State: 92:[57, 51, 42, 44], Operations: [] Exploring Operation: 57-51=6, Resulting Numbers: [42, 44, 6] Generated Node #2: [42, 44, 6] from Operation: 57-51=6 Current State: 92:[42, 44, 6], Operations: ['57-51=6'] Exploring Operation: 42+44=86, Resulting Numbers: [6, 86] Generated Node #3: [6, 86] from Operation: 42+44=86 Current State: 92:[6, 86], Operations: ['57-51=6', '42+44=86'] Exploring Operation: 6+86=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 7, 25, 90, 37 ]
28
[ "37-7=30", "90/30=3", "25+3=28" ]
Current State: 28:[7, 25, 90, 37], Operations: [] Exploring Operation: 37-7=30, Resulting Numbers: [25, 90, 30] Generated Node #2: [25, 90, 30] from Operation: 37-7=30 Current State: 28:[25, 90, 30], Operations: ['37-7=30'] Exploring Operation: 90/30=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 90/30=3 Current State: 28:[25, 3], Operations: ['37-7=30', '90/30=3'] Exploring Operation: 25+3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 41, 72, 20, 67 ]
16
[ "72-41=31", "67-20=47", "47-31=16" ]
Current State: 16:[41, 72, 20, 67], Operations: [] Exploring Operation: 72-41=31, Resulting Numbers: [20, 67, 31] Generated Node #2: [20, 67, 31] from Operation: 72-41=31 Current State: 16:[20, 67, 31], Operations: ['72-41=31'] Exploring Operation: 67-20=47, Resulting Numbers: [31, 47] Generated Node #3: [31, 47] from Operation: 67-20=47 Current State: 16:[31, 47], Operations: ['72-41=31', '67-20=47'] Exploring Operation: 47-31=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 88, 44, 22, 20 ]
42
[ "88-44=44", "22-20=2", "44-2=42" ]
Current State: 42:[88, 44, 22, 20], Operations: [] Exploring Operation: 88-44=44, Resulting Numbers: [22, 20, 44] Generated Node #2: [22, 20, 44] from Operation: 88-44=44 Current State: 42:[22, 20, 44], Operations: ['88-44=44'] Exploring Operation: 22-20=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 22-20=2 Current State: 42:[44, 2], Operations: ['88-44=44', '22-20=2'] Exploring Operation: 44-2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 61, 63, 43, 87 ]
42
[ "63-61=2", "87-43=44", "44-2=42" ]
Current State: 42:[61, 63, 43, 87], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [43, 87, 2] Generated Node #2: [43, 87, 2] from Operation: 63-61=2 Current State: 42:[43, 87, 2], Operations: ['63-61=2'] Exploring Operation: 87-43=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 87-43=44 Current State: 42:[2, 44], Operations: ['63-61=2', '87-43=44'] Exploring Operation: 44-2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 40, 14, 42, 48 ]
17
[ "42-40=2", "48-14=34", "34/2=17" ]
Current State: 17:[40, 14, 42, 48], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [14, 48, 2] Generated Node #2: [14, 48, 2] from Operation: 42-40=2 Current State: 17:[14, 48, 2], Operations: ['42-40=2'] Exploring Operation: 48-14=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 48-14=34 Current State: 17:[2, 34], Operations: ['42-40=2', '48-14=34'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 92, 14, 15, 48 ]
73
[ "92+14=106", "48-15=33", "106-33=73" ]
Current State: 73:[92, 14, 15, 48], Operations: [] Exploring Operation: 92+14=106, Resulting Numbers: [15, 48, 106] Generated Node #2: [15, 48, 106] from Operation: 92+14=106 Current State: 73:[15, 48, 106], Operations: ['92+14=106'] Exploring Operation: 48-15=33, Resulting Numbers: [106, 33] Generated Node #3: [106, 33] from Operation: 48-15=33 Current State: 73:[106, 33], Operations: ['92+14=106', '48-15=33'] Exploring Operation: 106-33=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 21, 27, 93, 58 ]
83
[ "21+27=48", "93-58=35", "48+35=83" ]
Current State: 83:[21, 27, 93, 58], Operations: [] Exploring Operation: 21+27=48, Resulting Numbers: [93, 58, 48] Generated Node #2: [93, 58, 48] from Operation: 21+27=48 Current State: 83:[93, 58, 48], Operations: ['21+27=48'] Exploring Operation: 93-58=35, Resulting Numbers: [48, 35] Generated Node #3: [48, 35] from Operation: 93-58=35 Current State: 83:[48, 35], Operations: ['21+27=48', '93-58=35'] Exploring Operation: 48+35=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 2, 93, 61, 50 ]
66
[ "93-61=32", "32/2=16", "50+16=66" ]
Current State: 66:[2, 93, 61, 50], Operations: [] Exploring Operation: 93-61=32, Resulting Numbers: [2, 50, 32] Generated Node #2: [2, 50, 32] from Operation: 93-61=32 Current State: 66:[2, 50, 32], Operations: ['93-61=32'] Exploring Operation: 32/2=16, Resulting Numbers: [50, 16] Generated Node #3: [50, 16] from Operation: 32/2=16 Current State: 66:[50, 16], Operations: ['93-61=32', '32/2=16'] Exploring Operation: 50+16=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 25, 29, 28, 34 ]
58
[ "29-25=4", "28+34=62", "62-4=58" ]
Current State: 58:[25, 29, 28, 34], Operations: [] Exploring Operation: 29-25=4, Resulting Numbers: [28, 34, 4] Generated Node #2: [28, 34, 4] from Operation: 29-25=4 Current State: 58:[28, 34, 4], Operations: ['29-25=4'] Exploring Operation: 28+34=62, Resulting Numbers: [4, 62] Generated Node #3: [4, 62] from Operation: 28+34=62 Current State: 58:[4, 62], Operations: ['29-25=4', '28+34=62'] Exploring Operation: 62-4=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 33, 52, 26, 23 ]
89
[ "33*52=1716", "1716/26=66", "23+66=89" ]
Current State: 89:[33, 52, 26, 23], Operations: [] Exploring Operation: 33*52=1716, Resulting Numbers: [26, 23, 1716] Generated Node #2: [26, 23, 1716] from Operation: 33*52=1716 Current State: 89:[26, 23, 1716], Operations: ['33*52=1716'] Exploring Operation: 1716/26=66, Resulting Numbers: [23, 66] Generated Node #3: [23, 66] from Operation: 1716/26=66 Current State: 89:[23, 66], Operations: ['33*52=1716', '1716/26=66'] Exploring Operation: 23+66=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 59, 40, 42, 41 ]
23
[ "42-40=2", "41*2=82", "82-59=23" ]
Current State: 23:[59, 40, 42, 41], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [59, 41, 2] Generated Node #2: [59, 41, 2] from Operation: 42-40=2 Current State: 23:[59, 41, 2], Operations: ['42-40=2'] Exploring Operation: 41*2=82, Resulting Numbers: [59, 82] Generated Node #3: [59, 82] from Operation: 41*2=82 Current State: 23:[59, 82], Operations: ['42-40=2', '41*2=82'] Exploring Operation: 82-59=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 1, 77, 38, 23 ]
46
[ "77-1=76", "76/38=2", "23*2=46" ]
Current State: 46:[1, 77, 38, 23], Operations: [] Exploring Operation: 77-1=76, Resulting Numbers: [38, 23, 76] Generated Node #2: [38, 23, 76] from Operation: 77-1=76 Current State: 46:[38, 23, 76], Operations: ['77-1=76'] Exploring Operation: 76/38=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 76/38=2 Current State: 46:[23, 2], Operations: ['77-1=76', '76/38=2'] Exploring Operation: 23*2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 46, 74, 51, 21 ]
48
[ "46+74=120", "51+21=72", "120-72=48" ]
Current State: 48:[46, 74, 51, 21], Operations: [] Exploring Operation: 46+74=120, Resulting Numbers: [51, 21, 120] Generated Node #2: [51, 21, 120] from Operation: 46+74=120 Current State: 48:[51, 21, 120], Operations: ['46+74=120'] Exploring Operation: 51+21=72, Resulting Numbers: [120, 72] Generated Node #3: [120, 72] from Operation: 51+21=72 Current State: 48:[120, 72], Operations: ['46+74=120', '51+21=72'] Exploring Operation: 120-72=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 25, 86, 68, 92 ]
87
[ "25+86=111", "92-68=24", "111-24=87" ]
Current State: 87:[25, 86, 68, 92], Operations: [] Exploring Operation: 25+86=111, Resulting Numbers: [68, 92, 111] Generated Node #2: [68, 92, 111] from Operation: 25+86=111 Current State: 87:[68, 92, 111], Operations: ['25+86=111'] Exploring Operation: 92-68=24, Resulting Numbers: [111, 24] Generated Node #3: [111, 24] from Operation: 92-68=24 Current State: 87:[111, 24], Operations: ['25+86=111', '92-68=24'] Exploring Operation: 111-24=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 6, 47, 76, 55 ]
38
[ "6+47=53", "55-53=2", "76/2=38" ]
Current State: 38:[6, 47, 76, 55], Operations: [] Exploring Operation: 6+47=53, Resulting Numbers: [76, 55, 53] Generated Node #2: [76, 55, 53] from Operation: 6+47=53 Current State: 38:[76, 55, 53], Operations: ['6+47=53'] Exploring Operation: 55-53=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 55-53=2 Current State: 38:[76, 2], Operations: ['6+47=53', '55-53=2'] Exploring Operation: 76/2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 69, 4, 39, 10 ]
80
[ "69-39=30", "30-10=20", "4*20=80" ]
Current State: 80:[69, 4, 39, 10], Operations: [] Exploring Operation: 69-39=30, Resulting Numbers: [4, 10, 30] Generated Node #2: [4, 10, 30] from Operation: 69-39=30 Current State: 80:[4, 10, 30], Operations: ['69-39=30'] Exploring Operation: 30-10=20, Resulting Numbers: [4, 20] Generated Node #3: [4, 20] from Operation: 30-10=20 Current State: 80:[4, 20], Operations: ['69-39=30', '30-10=20'] Exploring Operation: 4*20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 91, 76, 3, 61 ]
76
[ "91+76=167", "61+167=228", "228/3=76" ]
Current State: 76:[91, 76, 3, 61], Operations: [] Exploring Operation: 91+76=167, Resulting Numbers: [3, 61, 167] Generated Node #2: [3, 61, 167] from Operation: 91+76=167 Current State: 76:[3, 61, 167], Operations: ['91+76=167'] Exploring Operation: 61+167=228, Resulting Numbers: [3, 228] Generated Node #3: [3, 228] from Operation: 61+167=228 Current State: 76:[3, 228], Operations: ['91+76=167', '61+167=228'] Exploring Operation: 228/3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 3, 96, 14, 12 ]
40
[ "12/3=4", "14*4=56", "96-56=40" ]
Current State: 40:[3, 96, 14, 12], Operations: [] Exploring Operation: 12/3=4, Resulting Numbers: [96, 14, 4] Generated Node #2: [96, 14, 4] from Operation: 12/3=4 Current State: 40:[96, 14, 4], Operations: ['12/3=4'] Exploring Operation: 14*4=56, Resulting Numbers: [96, 56] Generated Node #3: [96, 56] from Operation: 14*4=56 Current State: 40:[96, 56], Operations: ['12/3=4', '14*4=56'] Exploring Operation: 96-56=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 90, 49, 2, 69 ]
97
[ "90-49=41", "2*69=138", "138-41=97" ]
Current State: 97:[90, 49, 2, 69], Operations: [] Exploring Operation: 90-49=41, Resulting Numbers: [2, 69, 41] Generated Node #2: [2, 69, 41] from Operation: 90-49=41 Current State: 97:[2, 69, 41], Operations: ['90-49=41'] Exploring Operation: 2*69=138, Resulting Numbers: [41, 138] Generated Node #3: [41, 138] from Operation: 2*69=138 Current State: 97:[41, 138], Operations: ['90-49=41', '2*69=138'] Exploring Operation: 138-41=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 65, 2, 70, 81 ]
56
[ "65+2=67", "81-70=11", "67-11=56" ]
Current State: 56:[65, 2, 70, 81], Operations: [] Exploring Operation: 65+2=67, Resulting Numbers: [70, 81, 67] Generated Node #2: [70, 81, 67] from Operation: 65+2=67 Current State: 56:[70, 81, 67], Operations: ['65+2=67'] Exploring Operation: 81-70=11, Resulting Numbers: [67, 11] Generated Node #3: [67, 11] from Operation: 81-70=11 Current State: 56:[67, 11], Operations: ['65+2=67', '81-70=11'] Exploring Operation: 67-11=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 1, 20, 48, 76 ]
12
[ "20-1=19", "48*19=912", "912/76=12" ]
Current State: 12:[1, 20, 48, 76], Operations: [] Exploring Operation: 20-1=19, Resulting Numbers: [48, 76, 19] Generated Node #2: [48, 76, 19] from Operation: 20-1=19 Current State: 12:[48, 76, 19], Operations: ['20-1=19'] Exploring Operation: 48*19=912, Resulting Numbers: [76, 912] Generated Node #3: [76, 912] from Operation: 48*19=912 Current State: 12:[76, 912], Operations: ['20-1=19', '48*19=912'] Exploring Operation: 912/76=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 84, 48, 79, 44 ]
20
[ "84-79=5", "48-44=4", "5*4=20" ]
Current State: 20:[84, 48, 79, 44], Operations: [] Exploring Operation: 84-79=5, Resulting Numbers: [48, 44, 5] Generated Node #2: [48, 44, 5] from Operation: 84-79=5 Current State: 20:[48, 44, 5], Operations: ['84-79=5'] Exploring Operation: 48-44=4, Resulting Numbers: [5, 4] Generated Node #3: [5, 4] from Operation: 48-44=4 Current State: 20:[5, 4], Operations: ['84-79=5', '48-44=4'] Exploring Operation: 5*4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 18, 78, 47, 9 ]
29
[ "18/9=2", "78-47=31", "31-2=29" ]
Current State: 29:[18, 78, 47, 9], Operations: [] Exploring Operation: 18/9=2, Resulting Numbers: [78, 47, 2] Generated Node #2: [78, 47, 2] from Operation: 18/9=2 Current State: 29:[78, 47, 2], Operations: ['18/9=2'] Exploring Operation: 78-47=31, Resulting Numbers: [2, 31] Generated Node #3: [2, 31] from Operation: 78-47=31 Current State: 29:[2, 31], Operations: ['18/9=2', '78-47=31'] Exploring Operation: 31-2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 38, 32, 70, 46 ]
47
[ "38+32=70", "70/70=1", "46+1=47" ]
Current State: 47:[38, 32, 70, 46], Operations: [] Exploring Operation: 38+32=70, Resulting Numbers: [70, 46, 70] Generated Node #2: [70, 46, 70] from Operation: 38+32=70 Current State: 47:[70, 46, 70], Operations: ['38+32=70'] Exploring Operation: 70/70=1, Resulting Numbers: [46, 1] Generated Node #3: [46, 1] from Operation: 70/70=1 Current State: 47:[46, 1], Operations: ['38+32=70', '70/70=1'] Exploring Operation: 46+1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 60, 85, 29, 27 ]
32
[ "60+85=145", "145/29=5", "27+5=32" ]
Current State: 32:[60, 85, 29, 27], Operations: [] Exploring Operation: 60+85=145, Resulting Numbers: [29, 27, 145] Generated Node #2: [29, 27, 145] from Operation: 60+85=145 Current State: 32:[29, 27, 145], Operations: ['60+85=145'] Exploring Operation: 145/29=5, Resulting Numbers: [27, 5] Generated Node #3: [27, 5] from Operation: 145/29=5 Current State: 32:[27, 5], Operations: ['60+85=145', '145/29=5'] Exploring Operation: 27+5=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 78, 21, 77, 76 ]
55
[ "78-77=1", "76-21=55", "1*55=55" ]
Current State: 55:[78, 21, 77, 76], Operations: [] Exploring Operation: 78-77=1, Resulting Numbers: [21, 76, 1] Generated Node #2: [21, 76, 1] from Operation: 78-77=1 Current State: 55:[21, 76, 1], Operations: ['78-77=1'] Exploring Operation: 76-21=55, Resulting Numbers: [1, 55] Generated Node #3: [1, 55] from Operation: 76-21=55 Current State: 55:[1, 55], Operations: ['78-77=1', '76-21=55'] Exploring Operation: 1*55=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 86, 99, 66, 76 ]
15
[ "86-76=10", "99*10=990", "990/66=15" ]
Current State: 15:[86, 99, 66, 76], Operations: [] Exploring Operation: 86-76=10, Resulting Numbers: [99, 66, 10] Generated Node #2: [99, 66, 10] from Operation: 86-76=10 Current State: 15:[99, 66, 10], Operations: ['86-76=10'] Exploring Operation: 99*10=990, Resulting Numbers: [66, 990] Generated Node #3: [66, 990] from Operation: 99*10=990 Current State: 15:[66, 990], Operations: ['86-76=10', '99*10=990'] Exploring Operation: 990/66=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 2, 12, 44, 46 ]
80
[ "12-2=10", "44+46=90", "90-10=80" ]
Current State: 80:[2, 12, 44, 46], Operations: [] Exploring Operation: 12-2=10, Resulting Numbers: [44, 46, 10] Generated Node #2: [44, 46, 10] from Operation: 12-2=10 Current State: 80:[44, 46, 10], Operations: ['12-2=10'] Exploring Operation: 44+46=90, Resulting Numbers: [10, 90] Generated Node #3: [10, 90] from Operation: 44+46=90 Current State: 80:[10, 90], Operations: ['12-2=10', '44+46=90'] Exploring Operation: 90-10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 10, 16, 64, 27 ]
14
[ "64-10=54", "54/27=2", "16-2=14" ]
Current State: 14:[10, 16, 64, 27], Operations: [] Exploring Operation: 64-10=54, Resulting Numbers: [16, 27, 54] Generated Node #2: [16, 27, 54] from Operation: 64-10=54 Current State: 14:[16, 27, 54], Operations: ['64-10=54'] Exploring Operation: 54/27=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 54/27=2 Current State: 14:[16, 2], Operations: ['64-10=54', '54/27=2'] Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 63, 91, 46, 85 ]
96
[ "63-46=17", "85/17=5", "91+5=96" ]
Current State: 96:[63, 91, 46, 85], Operations: [] Exploring Operation: 63-46=17, Resulting Numbers: [91, 85, 17] Generated Node #2: [91, 85, 17] from Operation: 63-46=17 Current State: 96:[91, 85, 17], Operations: ['63-46=17'] Exploring Operation: 85/17=5, Resulting Numbers: [91, 5] Generated Node #3: [91, 5] from Operation: 85/17=5 Current State: 96:[91, 5], Operations: ['63-46=17', '85/17=5'] Exploring Operation: 91+5=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 85, 77, 96, 66 ]
27
[ "77*96=7392", "7392/66=112", "112-85=27" ]
Current State: 27:[85, 77, 96, 66], Operations: [] Exploring Operation: 77*96=7392, Resulting Numbers: [85, 66, 7392] Generated Node #2: [85, 66, 7392] from Operation: 77*96=7392 Current State: 27:[85, 66, 7392], Operations: ['77*96=7392'] Exploring Operation: 7392/66=112, Resulting Numbers: [85, 112] Generated Node #3: [85, 112] from Operation: 7392/66=112 Current State: 27:[85, 112], Operations: ['77*96=7392', '7392/66=112'] Exploring Operation: 112-85=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 62, 47, 65, 63 ]
48
[ "65-62=3", "63-47=16", "3*16=48" ]
Current State: 48:[62, 47, 65, 63], Operations: [] Exploring Operation: 65-62=3, Resulting Numbers: [47, 63, 3] Generated Node #2: [47, 63, 3] from Operation: 65-62=3 Current State: 48:[47, 63, 3], Operations: ['65-62=3'] Exploring Operation: 63-47=16, Resulting Numbers: [3, 16] Generated Node #3: [3, 16] from Operation: 63-47=16 Current State: 48:[3, 16], Operations: ['65-62=3', '63-47=16'] Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 8, 27, 51, 11 ]
53
[ "27-11=16", "16/8=2", "51+2=53" ]
Current State: 53:[8, 27, 51, 11], Operations: [] Exploring Operation: 27-11=16, Resulting Numbers: [8, 51, 16] Generated Node #2: [8, 51, 16] from Operation: 27-11=16 Current State: 53:[8, 51, 16], Operations: ['27-11=16'] Exploring Operation: 16/8=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 16/8=2 Current State: 53:[51, 2], Operations: ['27-11=16', '16/8=2'] Exploring Operation: 51+2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 75, 8, 40, 5 ]
38
[ "75+8=83", "40+5=45", "83-45=38" ]
Current State: 38:[75, 8, 40, 5], Operations: [] Exploring Operation: 75+8=83, Resulting Numbers: [40, 5, 83] Generated Node #2: [40, 5, 83] from Operation: 75+8=83 Current State: 38:[40, 5, 83], Operations: ['75+8=83'] Exploring Operation: 40+5=45, Resulting Numbers: [83, 45] Generated Node #3: [83, 45] from Operation: 40+5=45 Current State: 38:[83, 45], Operations: ['75+8=83', '40+5=45'] Exploring Operation: 83-45=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 3, 91, 3, 30 ]
67
[ "3+91=94", "30-3=27", "94-27=67" ]
Current State: 67:[3, 91, 3, 30], Operations: [] Exploring Operation: 3+91=94, Resulting Numbers: [30, 94] Generated Node #2: [30, 94] from Operation: 3+91=94 Current State: 67:[30, 94], Operations: ['3+91=94'] Exploring Operation: 30-3=27, Resulting Numbers: [94, 27] Generated Node #3: [94, 27] from Operation: 30-3=27 Current State: 67:[94, 27], Operations: ['3+91=94', '30-3=27'] Exploring Operation: 94-27=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 14, 8, 86, 27 ]
37
[ "14+8=22", "86-27=59", "59-22=37" ]
Current State: 37:[14, 8, 86, 27], Operations: [] Exploring Operation: 14+8=22, Resulting Numbers: [86, 27, 22] Generated Node #2: [86, 27, 22] from Operation: 14+8=22 Current State: 37:[86, 27, 22], Operations: ['14+8=22'] Exploring Operation: 86-27=59, Resulting Numbers: [22, 59] Generated Node #3: [22, 59] from Operation: 86-27=59 Current State: 37:[22, 59], Operations: ['14+8=22', '86-27=59'] Exploring Operation: 59-22=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 13, 30, 49, 19 ]
67
[ "13*49=637", "30*19=570", "637-570=67" ]
Current State: 67:[13, 30, 49, 19], Operations: [] Exploring Operation: 13*49=637, Resulting Numbers: [30, 19, 637] Generated Node #2: [30, 19, 637] from Operation: 13*49=637 Current State: 67:[30, 19, 637], Operations: ['13*49=637'] Exploring Operation: 30*19=570, Resulting Numbers: [637, 570] Generated Node #3: [637, 570] from Operation: 30*19=570 Current State: 67:[637, 570], Operations: ['13*49=637', '30*19=570'] Exploring Operation: 637-570=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 27, 54, 97, 88 ]
72
[ "27+54=81", "97-88=9", "81-9=72" ]
Current State: 72:[27, 54, 97, 88], Operations: [] Exploring Operation: 27+54=81, Resulting Numbers: [97, 88, 81] Generated Node #2: [97, 88, 81] from Operation: 27+54=81 Current State: 72:[97, 88, 81], Operations: ['27+54=81'] Exploring Operation: 97-88=9, Resulting Numbers: [81, 9] Generated Node #3: [81, 9] from Operation: 97-88=9 Current State: 72:[81, 9], Operations: ['27+54=81', '97-88=9'] Exploring Operation: 81-9=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 3, 87, 39, 75 ]
33
[ "87+39=126", "126/3=42", "75-42=33" ]
Current State: 33:[3, 87, 39, 75], Operations: [] Exploring Operation: 87+39=126, Resulting Numbers: [3, 75, 126] Generated Node #2: [3, 75, 126] from Operation: 87+39=126 Current State: 33:[3, 75, 126], Operations: ['87+39=126'] Exploring Operation: 126/3=42, Resulting Numbers: [75, 42] Generated Node #3: [75, 42] from Operation: 126/3=42 Current State: 33:[75, 42], Operations: ['87+39=126', '126/3=42'] Exploring Operation: 75-42=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 36, 34, 35, 36 ]
72
[ "36+34=70", "70/35=2", "36*2=72" ]
Current State: 72:[36, 34, 35, 36], Operations: [] Exploring Operation: 36+34=70, Resulting Numbers: [35, 70] Generated Node #2: [35, 70] from Operation: 36+34=70 Current State: 72:[35, 70], Operations: ['36+34=70'] Exploring Operation: 70/35=2, Resulting Numbers: [2] 2,72 equal: Goal Reached Exploring Operation: 36*2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 54, 26, 14, 42 ]
83
[ "54+26=80", "42/14=3", "80+3=83" ]
Current State: 83:[54, 26, 14, 42], Operations: [] Exploring Operation: 54+26=80, Resulting Numbers: [14, 42, 80] Generated Node #2: [14, 42, 80] from Operation: 54+26=80 Current State: 83:[14, 42, 80], Operations: ['54+26=80'] Exploring Operation: 42/14=3, Resulting Numbers: [80, 3] Generated Node #3: [80, 3] from Operation: 42/14=3 Current State: 83:[80, 3], Operations: ['54+26=80', '42/14=3'] Exploring Operation: 80+3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 63, 83, 3, 28 ]
90
[ "63/3=21", "83+28=111", "111-21=90" ]
Current State: 90:[63, 83, 3, 28], Operations: [] Exploring Operation: 63/3=21, Resulting Numbers: [83, 28, 21] Generated Node #2: [83, 28, 21] from Operation: 63/3=21 Current State: 90:[83, 28, 21], Operations: ['63/3=21'] Exploring Operation: 83+28=111, Resulting Numbers: [21, 111] Generated Node #3: [21, 111] from Operation: 83+28=111 Current State: 90:[21, 111], Operations: ['63/3=21', '83+28=111'] Exploring Operation: 111-21=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 82, 42, 12, 40 ]
88
[ "42-40=2", "12/2=6", "82+6=88" ]
Current State: 88:[82, 42, 12, 40], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [82, 12, 2] Generated Node #2: [82, 12, 2] from Operation: 42-40=2 Current State: 88:[82, 12, 2], Operations: ['42-40=2'] Exploring Operation: 12/2=6, Resulting Numbers: [82, 6] Generated Node #3: [82, 6] from Operation: 12/2=6 Current State: 88:[82, 6], Operations: ['42-40=2', '12/2=6'] Exploring Operation: 82+6=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 41, 1, 37, 89 ]
22
[ "41-37=4", "89-1=88", "88/4=22" ]
Current State: 22:[41, 1, 37, 89], Operations: [] Exploring Operation: 41-37=4, Resulting Numbers: [1, 89, 4] Generated Node #2: [1, 89, 4] from Operation: 41-37=4 Current State: 22:[1, 89, 4], Operations: ['41-37=4'] Exploring Operation: 89-1=88, Resulting Numbers: [4, 88] Generated Node #3: [4, 88] from Operation: 89-1=88 Current State: 22:[4, 88], Operations: ['41-37=4', '89-1=88'] Exploring Operation: 88/4=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 18, 91, 74, 82 ]
72
[ "91-82=9", "18/9=2", "74-2=72" ]
Current State: 72:[18, 91, 74, 82], Operations: [] Exploring Operation: 91-82=9, Resulting Numbers: [18, 74, 9] Generated Node #2: [18, 74, 9] from Operation: 91-82=9 Current State: 72:[18, 74, 9], Operations: ['91-82=9'] Exploring Operation: 18/9=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 18/9=2 Current State: 72:[74, 2], Operations: ['91-82=9', '18/9=2'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4