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
[ 94, 57, 92, 68 ]
61
[ "94-57=37", "92-68=24", "37+24=61" ]
Current State: 61:[94, 57, 92, 68], Operations: [] Exploring Operation: 94-57=37, Resulting Numbers: [92, 68, 37] Generated Node #2: [92, 68, 37] from Operation: 94-57=37 Current State: 61:[92, 68, 37], Operations: ['94-57=37'] Exploring Operation: 92-68=24, Resulting Numbers: [37, 24] Generated Node #3: [37, 24] from Operation: 92-68=24 Current State: 61:[37, 24], Operations: ['94-57=37', '92-68=24'] Exploring Operation: 37+24=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 53, 19, 23, 79 ]
57
[ "53+23=76", "79-76=3", "19*3=57" ]
Current State: 57:[53, 19, 23, 79], Operations: [] Exploring Operation: 53+23=76, Resulting Numbers: [19, 79, 76] Generated Node #2: [19, 79, 76] from Operation: 53+23=76 Current State: 57:[19, 79, 76], Operations: ['53+23=76'] Exploring Operation: 79-76=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 79-76=3 Current State: 57:[19, 3], Operations: ['53+23=76', '79-76=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 63, 86, 19, 32 ]
36
[ "86-63=23", "32-19=13", "23+13=36" ]
Current State: 36:[63, 86, 19, 32], Operations: [] Exploring Operation: 86-63=23, Resulting Numbers: [19, 32, 23] Generated Node #2: [19, 32, 23] from Operation: 86-63=23 Current State: 36:[19, 32, 23], Operations: ['86-63=23'] Exploring Operation: 32-19=13, Resulting Numbers: [23, 13] Generated Node #3: [23, 13] from Operation: 32-19=13 Current State: 36:[23, 13], Operations: ['86-63=23', '32-19=13'] Exploring Operation: 23+13=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 36, 5, 24, 8 ]
73
[ "36+5=41", "24+8=32", "41+32=73" ]
Current State: 73:[36, 5, 24, 8], Operations: [] Exploring Operation: 36+5=41, Resulting Numbers: [24, 8, 41] Generated Node #2: [24, 8, 41] from Operation: 36+5=41 Current State: 73:[24, 8, 41], Operations: ['36+5=41'] Exploring Operation: 24+8=32, Resulting Numbers: [41, 32] Generated Node #3: [41, 32] from Operation: 24+8=32 Current State: 73:[41, 32], Operations: ['36+5=41', '24+8=32'] Exploring Operation: 41+32=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 58, 40, 39, 8 ]
65
[ "58-40=18", "39+8=47", "18+47=65" ]
Current State: 65:[58, 40, 39, 8], Operations: [] Exploring Operation: 58-40=18, Resulting Numbers: [39, 8, 18] Generated Node #2: [39, 8, 18] from Operation: 58-40=18 Current State: 65:[39, 8, 18], Operations: ['58-40=18'] Exploring Operation: 39+8=47, Resulting Numbers: [18, 47] Generated Node #3: [18, 47] from Operation: 39+8=47 Current State: 65:[18, 47], Operations: ['58-40=18', '39+8=47'] Exploring Operation: 18+47=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 64, 19, 59, 32 ]
42
[ "64/32=2", "59-19=40", "2+40=42" ]
Current State: 42:[64, 19, 59, 32], Operations: [] Exploring Operation: 64/32=2, Resulting Numbers: [19, 59, 2] Generated Node #2: [19, 59, 2] from Operation: 64/32=2 Current State: 42:[19, 59, 2], Operations: ['64/32=2'] Exploring Operation: 59-19=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 59-19=40 Current State: 42:[2, 40], Operations: ['64/32=2', '59-19=40'] Exploring Operation: 2+40=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 96, 3, 61, 21 ]
14
[ "3+61=64", "21*64=1344", "1344/96=14" ]
Current State: 14:[96, 3, 61, 21], Operations: [] Exploring Operation: 3+61=64, Resulting Numbers: [96, 21, 64] Generated Node #2: [96, 21, 64] from Operation: 3+61=64 Current State: 14:[96, 21, 64], Operations: ['3+61=64'] Exploring Operation: 21*64=1344, Resulting Numbers: [96, 1344] Generated Node #3: [96, 1344] from Operation: 21*64=1344 Current State: 14:[96, 1344], Operations: ['3+61=64', '21*64=1344'] Exploring Operation: 1344/96=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 60, 21, 65, 85 ]
20
[ "65-60=5", "21*5=105", "105-85=20" ]
Current State: 20:[60, 21, 65, 85], Operations: [] Exploring Operation: 65-60=5, Resulting Numbers: [21, 85, 5] Generated Node #2: [21, 85, 5] from Operation: 65-60=5 Current State: 20:[21, 85, 5], Operations: ['65-60=5'] Exploring Operation: 21*5=105, Resulting Numbers: [85, 105] Generated Node #3: [85, 105] from Operation: 21*5=105 Current State: 20:[85, 105], Operations: ['65-60=5', '21*5=105'] Exploring Operation: 105-85=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 9, 63, 52, 49 ]
66
[ "52-49=3", "9/3=3", "63+3=66" ]
Current State: 66:[9, 63, 52, 49], Operations: [] Exploring Operation: 52-49=3, Resulting Numbers: [9, 63, 3] Generated Node #2: [9, 63, 3] from Operation: 52-49=3 Current State: 66:[9, 63, 3], Operations: ['52-49=3'] Exploring Operation: 9/3=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 9/3=3 Current State: 66:[63, 3], Operations: ['52-49=3', '9/3=3'] Exploring Operation: 63+3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 48, 3, 5, 5 ]
15
[ "48/3=16", "5/5=1", "16-1=15" ]
Current State: 15:[48, 3, 5, 5], Operations: [] Exploring Operation: 48/3=16, Resulting Numbers: [5, 5, 16] Generated Node #2: [5, 5, 16] from Operation: 48/3=16 Current State: 15:[5, 5, 16], Operations: ['48/3=16'] Exploring Operation: 5/5=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 5/5=1 Current State: 15:[16, 1], Operations: ['48/3=16', '5/5=1'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 40, 20, 5, 14 ]
26
[ "40+20=60", "60/5=12", "14+12=26" ]
Current State: 26:[40, 20, 5, 14], Operations: [] Exploring Operation: 40+20=60, Resulting Numbers: [5, 14, 60] Generated Node #2: [5, 14, 60] from Operation: 40+20=60 Current State: 26:[5, 14, 60], Operations: ['40+20=60'] Exploring Operation: 60/5=12, Resulting Numbers: [14, 12] Generated Node #3: [14, 12] from Operation: 60/5=12 Current State: 26:[14, 12], Operations: ['40+20=60', '60/5=12'] Exploring Operation: 14+12=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 7, 21, 71, 70 ]
13
[ "21-7=14", "71-70=1", "14-1=13" ]
Current State: 13:[7, 21, 71, 70], Operations: [] Exploring Operation: 21-7=14, Resulting Numbers: [71, 70, 14] Generated Node #2: [71, 70, 14] from Operation: 21-7=14 Current State: 13:[71, 70, 14], Operations: ['21-7=14'] Exploring Operation: 71-70=1, Resulting Numbers: [14, 1] Generated Node #3: [14, 1] from Operation: 71-70=1 Current State: 13:[14, 1], Operations: ['21-7=14', '71-70=1'] Exploring Operation: 14-1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 84, 65, 94, 14 ]
61
[ "84-65=19", "94-14=80", "80-19=61" ]
Current State: 61:[84, 65, 94, 14], Operations: [] Exploring Operation: 84-65=19, Resulting Numbers: [94, 14, 19] Generated Node #2: [94, 14, 19] from Operation: 84-65=19 Current State: 61:[94, 14, 19], Operations: ['84-65=19'] Exploring Operation: 94-14=80, Resulting Numbers: [19, 80] Generated Node #3: [19, 80] from Operation: 94-14=80 Current State: 61:[19, 80], Operations: ['84-65=19', '94-14=80'] Exploring Operation: 80-19=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 87, 6, 45, 51 ]
15
[ "87-6=81", "45+51=96", "96-81=15" ]
Current State: 15:[87, 6, 45, 51], Operations: [] Exploring Operation: 87-6=81, Resulting Numbers: [45, 51, 81] Generated Node #2: [45, 51, 81] from Operation: 87-6=81 Current State: 15:[45, 51, 81], Operations: ['87-6=81'] Exploring Operation: 45+51=96, Resulting Numbers: [81, 96] Generated Node #3: [81, 96] from Operation: 45+51=96 Current State: 15:[81, 96], Operations: ['87-6=81', '45+51=96'] Exploring Operation: 96-81=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 17, 68, 79, 2 ]
45
[ "17*2=34", "79-68=11", "34+11=45" ]
Current State: 45:[17, 68, 79, 2], Operations: [] Exploring Operation: 17*2=34, Resulting Numbers: [68, 79, 34] Generated Node #2: [68, 79, 34] from Operation: 17*2=34 Current State: 45:[68, 79, 34], Operations: ['17*2=34'] Exploring Operation: 79-68=11, Resulting Numbers: [34, 11] Generated Node #3: [34, 11] from Operation: 79-68=11 Current State: 45:[34, 11], Operations: ['17*2=34', '79-68=11'] Exploring Operation: 34+11=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 63, 67, 14, 9 ]
27
[ "67-63=4", "14+9=23", "4+23=27" ]
Current State: 27:[63, 67, 14, 9], Operations: [] Exploring Operation: 67-63=4, Resulting Numbers: [14, 9, 4] Generated Node #2: [14, 9, 4] from Operation: 67-63=4 Current State: 27:[14, 9, 4], Operations: ['67-63=4'] Exploring Operation: 14+9=23, Resulting Numbers: [4, 23] Generated Node #3: [4, 23] from Operation: 14+9=23 Current State: 27:[4, 23], Operations: ['67-63=4', '14+9=23'] Exploring Operation: 4+23=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 54, 64, 21, 32 ]
64
[ "54-21=33", "33-32=1", "64*1=64" ]
Current State: 64:[54, 64, 21, 32], Operations: [] Exploring Operation: 54-21=33, Resulting Numbers: [64, 32, 33] Generated Node #2: [64, 32, 33] from Operation: 54-21=33 Current State: 64:[64, 32, 33], Operations: ['54-21=33'] Exploring Operation: 33-32=1, Resulting Numbers: [64, 1] Generated Node #3: [64, 1] from Operation: 33-32=1 Current State: 64:[64, 1], Operations: ['54-21=33', '33-32=1'] Exploring Operation: 64*1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 17, 80, 6, 92 ]
90
[ "17*6=102", "92-80=12", "102-12=90" ]
Current State: 90:[17, 80, 6, 92], Operations: [] Exploring Operation: 17*6=102, Resulting Numbers: [80, 92, 102] Generated Node #2: [80, 92, 102] from Operation: 17*6=102 Current State: 90:[80, 92, 102], Operations: ['17*6=102'] Exploring Operation: 92-80=12, Resulting Numbers: [102, 12] Generated Node #3: [102, 12] from Operation: 92-80=12 Current State: 90:[102, 12], Operations: ['17*6=102', '92-80=12'] Exploring Operation: 102-12=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 20, 40, 71, 4 ]
63
[ "40/20=2", "4*2=8", "71-8=63" ]
Current State: 63:[20, 40, 71, 4], Operations: [] Exploring Operation: 40/20=2, Resulting Numbers: [71, 4, 2] Generated Node #2: [71, 4, 2] from Operation: 40/20=2 Current State: 63:[71, 4, 2], Operations: ['40/20=2'] Exploring Operation: 4*2=8, Resulting Numbers: [71, 8] Generated Node #3: [71, 8] from Operation: 4*2=8 Current State: 63:[71, 8], Operations: ['40/20=2', '4*2=8'] Exploring Operation: 71-8=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 36, 5, 94, 38 ]
87
[ "36-5=31", "94-38=56", "31+56=87" ]
Current State: 87:[36, 5, 94, 38], Operations: [] Exploring Operation: 36-5=31, Resulting Numbers: [94, 38, 31] Generated Node #2: [94, 38, 31] from Operation: 36-5=31 Current State: 87:[94, 38, 31], Operations: ['36-5=31'] Exploring Operation: 94-38=56, Resulting Numbers: [31, 56] Generated Node #3: [31, 56] from Operation: 94-38=56 Current State: 87:[31, 56], Operations: ['36-5=31', '94-38=56'] Exploring Operation: 31+56=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 2, 76, 4, 48 ]
70
[ "2*4=8", "48/8=6", "76-6=70" ]
Current State: 70:[2, 76, 4, 48], Operations: [] Exploring Operation: 2*4=8, Resulting Numbers: [76, 48, 8] Generated Node #2: [76, 48, 8] from Operation: 2*4=8 Current State: 70:[76, 48, 8], Operations: ['2*4=8'] Exploring Operation: 48/8=6, Resulting Numbers: [76, 6] Generated Node #3: [76, 6] from Operation: 48/8=6 Current State: 70:[76, 6], Operations: ['2*4=8', '48/8=6'] Exploring Operation: 76-6=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 23, 27, 40, 34 ]
44
[ "23+27=50", "40-34=6", "50-6=44" ]
Current State: 44:[23, 27, 40, 34], Operations: [] Exploring Operation: 23+27=50, Resulting Numbers: [40, 34, 50] Generated Node #2: [40, 34, 50] from Operation: 23+27=50 Current State: 44:[40, 34, 50], Operations: ['23+27=50'] Exploring Operation: 40-34=6, Resulting Numbers: [50, 6] Generated Node #3: [50, 6] from Operation: 40-34=6 Current State: 44:[50, 6], Operations: ['23+27=50', '40-34=6'] Exploring Operation: 50-6=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 26, 36, 41, 1 ]
22
[ "26+36=62", "41-1=40", "62-40=22" ]
Current State: 22:[26, 36, 41, 1], Operations: [] Exploring Operation: 26+36=62, Resulting Numbers: [41, 1, 62] Generated Node #2: [41, 1, 62] from Operation: 26+36=62 Current State: 22:[41, 1, 62], Operations: ['26+36=62'] Exploring Operation: 41-1=40, Resulting Numbers: [62, 40] Generated Node #3: [62, 40] from Operation: 41-1=40 Current State: 22:[62, 40], Operations: ['26+36=62', '41-1=40'] Exploring Operation: 62-40=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 7, 16, 28, 65 ]
61
[ "7*16=112", "112/28=4", "65-4=61" ]
Current State: 61:[7, 16, 28, 65], Operations: [] Exploring Operation: 7*16=112, Resulting Numbers: [28, 65, 112] Generated Node #2: [28, 65, 112] from Operation: 7*16=112 Current State: 61:[28, 65, 112], Operations: ['7*16=112'] Exploring Operation: 112/28=4, Resulting Numbers: [65, 4] Generated Node #3: [65, 4] from Operation: 112/28=4 Current State: 61:[65, 4], Operations: ['7*16=112', '112/28=4'] Exploring Operation: 65-4=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 66, 59, 68, 97 ]
96
[ "66+59=125", "97-68=29", "125-29=96" ]
Current State: 96:[66, 59, 68, 97], Operations: [] Exploring Operation: 66+59=125, Resulting Numbers: [68, 97, 125] Generated Node #2: [68, 97, 125] from Operation: 66+59=125 Current State: 96:[68, 97, 125], Operations: ['66+59=125'] Exploring Operation: 97-68=29, Resulting Numbers: [125, 29] Generated Node #3: [125, 29] from Operation: 97-68=29 Current State: 96:[125, 29], Operations: ['66+59=125', '97-68=29'] Exploring Operation: 125-29=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 31, 53, 1, 24 ]
47
[ "53-31=22", "1+24=25", "22+25=47" ]
Current State: 47:[31, 53, 1, 24], Operations: [] Exploring Operation: 53-31=22, Resulting Numbers: [1, 24, 22] Generated Node #2: [1, 24, 22] from Operation: 53-31=22 Current State: 47:[1, 24, 22], Operations: ['53-31=22'] Exploring Operation: 1+24=25, Resulting Numbers: [22, 25] Generated Node #3: [22, 25] from Operation: 1+24=25 Current State: 47:[22, 25], Operations: ['53-31=22', '1+24=25'] Exploring Operation: 22+25=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 9, 38, 64, 28 ]
34
[ "64-28=36", "36/9=4", "38-4=34" ]
Current State: 34:[9, 38, 64, 28], Operations: [] Exploring Operation: 64-28=36, Resulting Numbers: [9, 38, 36] Generated Node #2: [9, 38, 36] from Operation: 64-28=36 Current State: 34:[9, 38, 36], Operations: ['64-28=36'] Exploring Operation: 36/9=4, Resulting Numbers: [38, 4] Generated Node #3: [38, 4] from Operation: 36/9=4 Current State: 34:[38, 4], Operations: ['64-28=36', '36/9=4'] Exploring Operation: 38-4=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 83, 97, 36, 38 ]
69
[ "38-36=2", "83*2=166", "166-97=69" ]
Current State: 69:[83, 97, 36, 38], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [83, 97, 2] Generated Node #2: [83, 97, 2] from Operation: 38-36=2 Current State: 69:[83, 97, 2], Operations: ['38-36=2'] Exploring Operation: 83*2=166, Resulting Numbers: [97, 166] Generated Node #3: [97, 166] from Operation: 83*2=166 Current State: 69:[97, 166], Operations: ['38-36=2', '83*2=166'] Exploring Operation: 166-97=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 27, 55, 21, 25 ]
17
[ "27-25=2", "55-21=34", "34/2=17" ]
Current State: 17:[27, 55, 21, 25], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [55, 21, 2] Generated Node #2: [55, 21, 2] from Operation: 27-25=2 Current State: 17:[55, 21, 2], Operations: ['27-25=2'] Exploring Operation: 55-21=34, Resulting Numbers: [2, 34] Generated Node #3: [2, 34] from Operation: 55-21=34 Current State: 17:[2, 34], Operations: ['27-25=2', '55-21=34'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 77, 2, 12, 86 ]
44
[ "77-12=65", "2*65=130", "130-86=44" ]
Current State: 44:[77, 2, 12, 86], Operations: [] Exploring Operation: 77-12=65, Resulting Numbers: [2, 86, 65] Generated Node #2: [2, 86, 65] from Operation: 77-12=65 Current State: 44:[2, 86, 65], Operations: ['77-12=65'] Exploring Operation: 2*65=130, Resulting Numbers: [86, 130] Generated Node #3: [86, 130] from Operation: 2*65=130 Current State: 44:[86, 130], Operations: ['77-12=65', '2*65=130'] Exploring Operation: 130-86=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 97, 82, 16, 3 ]
33
[ "97-82=15", "16*3=48", "48-15=33" ]
Current State: 33:[97, 82, 16, 3], Operations: [] Exploring Operation: 97-82=15, Resulting Numbers: [16, 3, 15] Generated Node #2: [16, 3, 15] from Operation: 97-82=15 Current State: 33:[16, 3, 15], Operations: ['97-82=15'] Exploring Operation: 16*3=48, Resulting Numbers: [15, 48] Generated Node #3: [15, 48] from Operation: 16*3=48 Current State: 33:[15, 48], Operations: ['97-82=15', '16*3=48'] Exploring Operation: 48-15=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 44, 32, 3, 55 ]
85
[ "55-44=11", "32*3=96", "96-11=85" ]
Current State: 85:[44, 32, 3, 55], Operations: [] Exploring Operation: 55-44=11, Resulting Numbers: [32, 3, 11] Generated Node #2: [32, 3, 11] from Operation: 55-44=11 Current State: 85:[32, 3, 11], Operations: ['55-44=11'] Exploring Operation: 32*3=96, Resulting Numbers: [11, 96] Generated Node #3: [11, 96] from Operation: 32*3=96 Current State: 85:[11, 96], Operations: ['55-44=11', '32*3=96'] Exploring Operation: 96-11=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 13, 11, 57, 78 ]
23
[ "13-11=2", "78-57=21", "2+21=23" ]
Current State: 23:[13, 11, 57, 78], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [57, 78, 2] Generated Node #2: [57, 78, 2] from Operation: 13-11=2 Current State: 23:[57, 78, 2], Operations: ['13-11=2'] Exploring Operation: 78-57=21, Resulting Numbers: [2, 21] Generated Node #3: [2, 21] from Operation: 78-57=21 Current State: 23:[2, 21], Operations: ['13-11=2', '78-57=21'] Exploring Operation: 2+21=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 20, 43, 61, 22 ]
79
[ "22-20=2", "61*2=122", "122-43=79" ]
Current State: 79:[20, 43, 61, 22], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [43, 61, 2] Generated Node #2: [43, 61, 2] from Operation: 22-20=2 Current State: 79:[43, 61, 2], Operations: ['22-20=2'] Exploring Operation: 61*2=122, Resulting Numbers: [43, 122] Generated Node #3: [43, 122] from Operation: 61*2=122 Current State: 79:[43, 122], Operations: ['22-20=2', '61*2=122'] Exploring Operation: 122-43=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 93, 15, 54, 9 ]
65
[ "93-54=39", "15*39=585", "585/9=65" ]
Current State: 65:[93, 15, 54, 9], Operations: [] Exploring Operation: 93-54=39, Resulting Numbers: [15, 9, 39] Generated Node #2: [15, 9, 39] from Operation: 93-54=39 Current State: 65:[15, 9, 39], Operations: ['93-54=39'] Exploring Operation: 15*39=585, Resulting Numbers: [9, 585] Generated Node #3: [9, 585] from Operation: 15*39=585 Current State: 65:[9, 585], Operations: ['93-54=39', '15*39=585'] Exploring Operation: 585/9=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 1, 55, 52, 82 ]
26
[ "1+55=56", "82-52=30", "56-30=26" ]
Current State: 26:[1, 55, 52, 82], Operations: [] Exploring Operation: 1+55=56, Resulting Numbers: [52, 82, 56] Generated Node #2: [52, 82, 56] from Operation: 1+55=56 Current State: 26:[52, 82, 56], Operations: ['1+55=56'] Exploring Operation: 82-52=30, Resulting Numbers: [56, 30] Generated Node #3: [56, 30] from Operation: 82-52=30 Current State: 26:[56, 30], Operations: ['1+55=56', '82-52=30'] Exploring Operation: 56-30=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 48, 31, 14, 18 ]
83
[ "48+31=79", "18-14=4", "79+4=83" ]
Current State: 83:[48, 31, 14, 18], Operations: [] Exploring Operation: 48+31=79, Resulting Numbers: [14, 18, 79] Generated Node #2: [14, 18, 79] from Operation: 48+31=79 Current State: 83:[14, 18, 79], Operations: ['48+31=79'] Exploring Operation: 18-14=4, Resulting Numbers: [79, 4] Generated Node #3: [79, 4] from Operation: 18-14=4 Current State: 83:[79, 4], Operations: ['48+31=79', '18-14=4'] Exploring Operation: 79+4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 14, 6, 69, 34 ]
61
[ "14+34=48", "48/6=8", "69-8=61" ]
Current State: 61:[14, 6, 69, 34], Operations: [] Exploring Operation: 14+34=48, Resulting Numbers: [6, 69, 48] Generated Node #2: [6, 69, 48] from Operation: 14+34=48 Current State: 61:[6, 69, 48], Operations: ['14+34=48'] Exploring Operation: 48/6=8, Resulting Numbers: [69, 8] Generated Node #3: [69, 8] from Operation: 48/6=8 Current State: 61:[69, 8], Operations: ['14+34=48', '48/6=8'] Exploring Operation: 69-8=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 85, 37, 78, 6 ]
24
[ "85-37=48", "78-6=72", "72-48=24" ]
Current State: 24:[85, 37, 78, 6], Operations: [] Exploring Operation: 85-37=48, Resulting Numbers: [78, 6, 48] Generated Node #2: [78, 6, 48] from Operation: 85-37=48 Current State: 24:[78, 6, 48], Operations: ['85-37=48'] Exploring Operation: 78-6=72, Resulting Numbers: [48, 72] Generated Node #3: [48, 72] from Operation: 78-6=72 Current State: 24:[48, 72], Operations: ['85-37=48', '78-6=72'] Exploring Operation: 72-48=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 76, 80, 5, 90 ]
100
[ "5+90=95", "80*95=7600", "7600/76=100" ]
Current State: 100:[76, 80, 5, 90], Operations: [] Exploring Operation: 5+90=95, Resulting Numbers: [76, 80, 95] Generated Node #2: [76, 80, 95] from Operation: 5+90=95 Current State: 100:[76, 80, 95], Operations: ['5+90=95'] Exploring Operation: 80*95=7600, Resulting Numbers: [76, 7600] Generated Node #3: [76, 7600] from Operation: 80*95=7600 Current State: 100:[76, 7600], Operations: ['5+90=95', '80*95=7600'] Exploring Operation: 7600/76=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 2, 52, 21, 25 ]
24
[ "52+21=73", "73-25=48", "48/2=24" ]
Current State: 24:[2, 52, 21, 25], Operations: [] Exploring Operation: 52+21=73, Resulting Numbers: [2, 25, 73] Generated Node #2: [2, 25, 73] from Operation: 52+21=73 Current State: 24:[2, 25, 73], Operations: ['52+21=73'] Exploring Operation: 73-25=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 73-25=48 Current State: 24:[2, 48], Operations: ['52+21=73', '73-25=48'] Exploring Operation: 48/2=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 85, 15, 72, 50 ]
36
[ "85+15=100", "72*50=3600", "3600/100=36" ]
Current State: 36:[85, 15, 72, 50], Operations: [] Exploring Operation: 85+15=100, Resulting Numbers: [72, 50, 100] Generated Node #2: [72, 50, 100] from Operation: 85+15=100 Current State: 36:[72, 50, 100], Operations: ['85+15=100'] Exploring Operation: 72*50=3600, Resulting Numbers: [100, 3600] Generated Node #3: [100, 3600] from Operation: 72*50=3600 Current State: 36:[100, 3600], Operations: ['85+15=100', '72*50=3600'] Exploring Operation: 3600/100=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 48, 75, 62, 78 ]
59
[ "75*62=4650", "4650-48=4602", "4602/78=59" ]
Current State: 59:[48, 75, 62, 78], Operations: [] Exploring Operation: 75*62=4650, Resulting Numbers: [48, 78, 4650] Generated Node #2: [48, 78, 4650] from Operation: 75*62=4650 Current State: 59:[48, 78, 4650], Operations: ['75*62=4650'] Exploring Operation: 4650-48=4602, Resulting Numbers: [78, 4602] Generated Node #3: [78, 4602] from Operation: 4650-48=4602 Current State: 59:[78, 4602], Operations: ['75*62=4650', '4650-48=4602'] Exploring Operation: 4602/78=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 37, 43, 1, 8 ]
10
[ "37+43=80", "1*8=8", "80/8=10" ]
Current State: 10:[37, 43, 1, 8], Operations: [] Exploring Operation: 37+43=80, Resulting Numbers: [1, 8, 80] Generated Node #2: [1, 8, 80] from Operation: 37+43=80 Current State: 10:[1, 8, 80], Operations: ['37+43=80'] Exploring Operation: 1*8=8, Resulting Numbers: [80, 8] Generated Node #3: [80, 8] from Operation: 1*8=8 Current State: 10:[80, 8], Operations: ['37+43=80', '1*8=8'] Exploring Operation: 80/8=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 20, 29, 93, 64 ]
78
[ "20+29=49", "93-64=29", "49+29=78" ]
Current State: 78:[20, 29, 93, 64], Operations: [] Exploring Operation: 20+29=49, Resulting Numbers: [93, 64, 49] Generated Node #2: [93, 64, 49] from Operation: 20+29=49 Current State: 78:[93, 64, 49], Operations: ['20+29=49'] Exploring Operation: 93-64=29, Resulting Numbers: [49, 29] Generated Node #3: [49, 29] from Operation: 93-64=29 Current State: 78:[49, 29], Operations: ['20+29=49', '93-64=29'] Exploring Operation: 49+29=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 51, 80, 14, 2 ]
17
[ "80-51=29", "14-2=12", "29-12=17" ]
Current State: 17:[51, 80, 14, 2], Operations: [] Exploring Operation: 80-51=29, Resulting Numbers: [14, 2, 29] Generated Node #2: [14, 2, 29] from Operation: 80-51=29 Current State: 17:[14, 2, 29], Operations: ['80-51=29'] Exploring Operation: 14-2=12, Resulting Numbers: [29, 12] Generated Node #3: [29, 12] from Operation: 14-2=12 Current State: 17:[29, 12], Operations: ['80-51=29', '14-2=12'] Exploring Operation: 29-12=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 4, 80, 16, 19 ]
81
[ "4+80=84", "19-16=3", "84-3=81" ]
Current State: 81:[4, 80, 16, 19], Operations: [] Exploring Operation: 4+80=84, Resulting Numbers: [16, 19, 84] Generated Node #2: [16, 19, 84] from Operation: 4+80=84 Current State: 81:[16, 19, 84], Operations: ['4+80=84'] Exploring Operation: 19-16=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 19-16=3 Current State: 81:[84, 3], Operations: ['4+80=84', '19-16=3'] Exploring Operation: 84-3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 99, 88, 45, 66 ]
39
[ "99-88=11", "66/11=6", "45-6=39" ]
Current State: 39:[99, 88, 45, 66], Operations: [] Exploring Operation: 99-88=11, Resulting Numbers: [45, 66, 11] Generated Node #2: [45, 66, 11] from Operation: 99-88=11 Current State: 39:[45, 66, 11], Operations: ['99-88=11'] Exploring Operation: 66/11=6, Resulting Numbers: [45, 6] Generated Node #3: [45, 6] from Operation: 66/11=6 Current State: 39:[45, 6], Operations: ['99-88=11', '66/11=6'] Exploring Operation: 45-6=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 96, 42, 34, 60 ]
99
[ "42+60=102", "102/34=3", "96+3=99" ]
Current State: 99:[96, 42, 34, 60], Operations: [] Exploring Operation: 42+60=102, Resulting Numbers: [96, 34, 102] Generated Node #2: [96, 34, 102] from Operation: 42+60=102 Current State: 99:[96, 34, 102], Operations: ['42+60=102'] Exploring Operation: 102/34=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 102/34=3 Current State: 99:[96, 3], Operations: ['42+60=102', '102/34=3'] Exploring Operation: 96+3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 20, 94, 5, 57 ]
33
[ "20/5=4", "94-57=37", "37-4=33" ]
Current State: 33:[20, 94, 5, 57], Operations: [] Exploring Operation: 20/5=4, Resulting Numbers: [94, 57, 4] Generated Node #2: [94, 57, 4] from Operation: 20/5=4 Current State: 33:[94, 57, 4], Operations: ['20/5=4'] Exploring Operation: 94-57=37, Resulting Numbers: [4, 37] Generated Node #3: [4, 37] from Operation: 94-57=37 Current State: 33:[4, 37], Operations: ['20/5=4', '94-57=37'] Exploring Operation: 37-4=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 29, 94, 65, 29 ]
94
[ "29-29=0", "65*0=0", "94+0=94" ]
Current State: 94:[29, 94, 65, 29], Operations: [] Exploring Operation: 29-29=0, Resulting Numbers: [94, 65, 0] Generated Node #2: [94, 65, 0] from Operation: 29-29=0 Current State: 94:[94, 65, 0], Operations: ['29-29=0'] Exploring Operation: 65*0=0, Resulting Numbers: [94, 0] Generated Node #3: [94, 0] from Operation: 65*0=0 Current State: 94:[94, 0], Operations: ['29-29=0', '65*0=0'] Exploring Operation: 94+0=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 29, 6, 24, 66 ]
26
[ "6+66=72", "72/24=3", "29-3=26" ]
Current State: 26:[29, 6, 24, 66], Operations: [] Exploring Operation: 6+66=72, Resulting Numbers: [29, 24, 72] Generated Node #2: [29, 24, 72] from Operation: 6+66=72 Current State: 26:[29, 24, 72], Operations: ['6+66=72'] Exploring Operation: 72/24=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 72/24=3 Current State: 26:[29, 3], Operations: ['6+66=72', '72/24=3'] Exploring Operation: 29-3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 70, 48, 12, 38 ]
50
[ "48-38=10", "12*10=120", "120-70=50" ]
Current State: 50:[70, 48, 12, 38], Operations: [] Exploring Operation: 48-38=10, Resulting Numbers: [70, 12, 10] Generated Node #2: [70, 12, 10] from Operation: 48-38=10 Current State: 50:[70, 12, 10], Operations: ['48-38=10'] Exploring Operation: 12*10=120, Resulting Numbers: [70, 120] Generated Node #3: [70, 120] from Operation: 12*10=120 Current State: 50:[70, 120], Operations: ['48-38=10', '12*10=120'] Exploring Operation: 120-70=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 95, 9, 94, 8 ]
80
[ "95+9=104", "104-94=10", "8*10=80" ]
Current State: 80:[95, 9, 94, 8], Operations: [] Exploring Operation: 95+9=104, Resulting Numbers: [94, 8, 104] Generated Node #2: [94, 8, 104] from Operation: 95+9=104 Current State: 80:[94, 8, 104], Operations: ['95+9=104'] Exploring Operation: 104-94=10, Resulting Numbers: [8, 10] Generated Node #3: [8, 10] from Operation: 104-94=10 Current State: 80:[8, 10], Operations: ['95+9=104', '104-94=10'] Exploring Operation: 8*10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 60, 82, 52, 36 ]
72
[ "60*36=2160", "82-52=30", "2160/30=72" ]
Current State: 72:[60, 82, 52, 36], Operations: [] Exploring Operation: 60*36=2160, Resulting Numbers: [82, 52, 2160] Generated Node #2: [82, 52, 2160] from Operation: 60*36=2160 Current State: 72:[82, 52, 2160], Operations: ['60*36=2160'] Exploring Operation: 82-52=30, Resulting Numbers: [2160, 30] Generated Node #3: [2160, 30] from Operation: 82-52=30 Current State: 72:[2160, 30], Operations: ['60*36=2160', '82-52=30'] Exploring Operation: 2160/30=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 59, 3, 47, 74 ]
78
[ "59-47=12", "12/3=4", "74+4=78" ]
Current State: 78:[59, 3, 47, 74], Operations: [] Exploring Operation: 59-47=12, Resulting Numbers: [3, 74, 12] Generated Node #2: [3, 74, 12] from Operation: 59-47=12 Current State: 78:[3, 74, 12], Operations: ['59-47=12'] Exploring Operation: 12/3=4, Resulting Numbers: [74, 4] Generated Node #3: [74, 4] from Operation: 12/3=4 Current State: 78:[74, 4], Operations: ['59-47=12', '12/3=4'] Exploring Operation: 74+4=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 4, 39, 41, 2 ]
22
[ "39+41=80", "80/4=20", "2+20=22" ]
Current State: 22:[4, 39, 41, 2], Operations: [] Exploring Operation: 39+41=80, Resulting Numbers: [4, 2, 80] Generated Node #2: [4, 2, 80] from Operation: 39+41=80 Current State: 22:[4, 2, 80], Operations: ['39+41=80'] Exploring Operation: 80/4=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 80/4=20 Current State: 22:[2, 20], Operations: ['39+41=80', '80/4=20'] Exploring Operation: 2+20=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 88, 5, 6, 48 ]
48
[ "88-48=40", "40/5=8", "6*8=48" ]
Current State: 48:[88, 5, 6, 48], Operations: [] Exploring Operation: 88-48=40, Resulting Numbers: [5, 6, 40] Generated Node #2: [5, 6, 40] from Operation: 88-48=40 Current State: 48:[5, 6, 40], Operations: ['88-48=40'] Exploring Operation: 40/5=8, Resulting Numbers: [6, 8] Generated Node #3: [6, 8] from Operation: 40/5=8 Current State: 48:[6, 8], Operations: ['88-48=40', '40/5=8'] Exploring Operation: 6*8=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 2, 85, 39, 8 ]
40
[ "2+85=87", "39+8=47", "87-47=40" ]
Current State: 40:[2, 85, 39, 8], Operations: [] Exploring Operation: 2+85=87, Resulting Numbers: [39, 8, 87] Generated Node #2: [39, 8, 87] from Operation: 2+85=87 Current State: 40:[39, 8, 87], Operations: ['2+85=87'] Exploring Operation: 39+8=47, Resulting Numbers: [87, 47] Generated Node #3: [87, 47] from Operation: 39+8=47 Current State: 40:[87, 47], Operations: ['2+85=87', '39+8=47'] Exploring Operation: 87-47=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 66, 31, 9, 46 ]
99
[ "66-31=35", "46-35=11", "9*11=99" ]
Current State: 99:[66, 31, 9, 46], Operations: [] Exploring Operation: 66-31=35, Resulting Numbers: [9, 46, 35] Generated Node #2: [9, 46, 35] from Operation: 66-31=35 Current State: 99:[9, 46, 35], Operations: ['66-31=35'] Exploring Operation: 46-35=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 46-35=11 Current State: 99:[9, 11], Operations: ['66-31=35', '46-35=11'] Exploring Operation: 9*11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 29, 77, 41, 59 ]
27
[ "77+41=118", "118/59=2", "29-2=27" ]
Current State: 27:[29, 77, 41, 59], Operations: [] Exploring Operation: 77+41=118, Resulting Numbers: [29, 59, 118] Generated Node #2: [29, 59, 118] from Operation: 77+41=118 Current State: 27:[29, 59, 118], Operations: ['77+41=118'] Exploring Operation: 118/59=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 118/59=2 Current State: 27:[29, 2], Operations: ['77+41=118', '118/59=2'] Exploring Operation: 29-2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 15, 7, 3, 88 ]
76
[ "15/3=5", "88-7=81", "81-5=76" ]
Current State: 76:[15, 7, 3, 88], Operations: [] Exploring Operation: 15/3=5, Resulting Numbers: [7, 88, 5] Generated Node #2: [7, 88, 5] from Operation: 15/3=5 Current State: 76:[7, 88, 5], Operations: ['15/3=5'] Exploring Operation: 88-7=81, Resulting Numbers: [5, 81] Generated Node #3: [5, 81] from Operation: 88-7=81 Current State: 76:[5, 81], Operations: ['15/3=5', '88-7=81'] Exploring Operation: 81-5=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 23, 92, 8, 94 ]
90
[ "92/23=4", "94-8=86", "4+86=90" ]
Current State: 90:[23, 92, 8, 94], Operations: [] Exploring Operation: 92/23=4, Resulting Numbers: [8, 94, 4] Generated Node #2: [8, 94, 4] from Operation: 92/23=4 Current State: 90:[8, 94, 4], Operations: ['92/23=4'] Exploring Operation: 94-8=86, Resulting Numbers: [4, 86] Generated Node #3: [4, 86] from Operation: 94-8=86 Current State: 90:[4, 86], Operations: ['92/23=4', '94-8=86'] Exploring Operation: 4+86=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 28, 42, 3, 55 ]
95
[ "28+42=70", "3*55=165", "165-70=95" ]
Current State: 95:[28, 42, 3, 55], Operations: [] Exploring Operation: 28+42=70, Resulting Numbers: [3, 55, 70] Generated Node #2: [3, 55, 70] from Operation: 28+42=70 Current State: 95:[3, 55, 70], Operations: ['28+42=70'] Exploring Operation: 3*55=165, Resulting Numbers: [70, 165] Generated Node #3: [70, 165] from Operation: 3*55=165 Current State: 95:[70, 165], Operations: ['28+42=70', '3*55=165'] Exploring Operation: 165-70=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 88, 17, 4, 8 ]
61
[ "88*4=352", "352/8=44", "17+44=61" ]
Current State: 61:[88, 17, 4, 8], Operations: [] Exploring Operation: 88*4=352, Resulting Numbers: [17, 8, 352] Generated Node #2: [17, 8, 352] from Operation: 88*4=352 Current State: 61:[17, 8, 352], Operations: ['88*4=352'] Exploring Operation: 352/8=44, Resulting Numbers: [17, 44] Generated Node #3: [17, 44] from Operation: 352/8=44 Current State: 61:[17, 44], Operations: ['88*4=352', '352/8=44'] Exploring Operation: 17+44=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 2, 1, 26, 33 ]
12
[ "1+26=27", "33-27=6", "2*6=12" ]
Current State: 12:[2, 1, 26, 33], Operations: [] Exploring Operation: 1+26=27, Resulting Numbers: [2, 33, 27] Generated Node #2: [2, 33, 27] from Operation: 1+26=27 Current State: 12:[2, 33, 27], Operations: ['1+26=27'] Exploring Operation: 33-27=6, Resulting Numbers: [2, 6] Generated Node #3: [2, 6] from Operation: 33-27=6 Current State: 12:[2, 6], Operations: ['1+26=27', '33-27=6'] Exploring Operation: 2*6=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 30, 92, 13, 41 ]
68
[ "30+92=122", "13+41=54", "122-54=68" ]
Current State: 68:[30, 92, 13, 41], Operations: [] Exploring Operation: 30+92=122, Resulting Numbers: [13, 41, 122] Generated Node #2: [13, 41, 122] from Operation: 30+92=122 Current State: 68:[13, 41, 122], Operations: ['30+92=122'] Exploring Operation: 13+41=54, Resulting Numbers: [122, 54] Generated Node #3: [122, 54] from Operation: 13+41=54 Current State: 68:[122, 54], Operations: ['30+92=122', '13+41=54'] Exploring Operation: 122-54=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 62, 31, 27, 71 ]
67
[ "62-31=31", "27+71=98", "98-31=67" ]
Current State: 67:[62, 31, 27, 71], Operations: [] Exploring Operation: 62-31=31, Resulting Numbers: [27, 71, 31] Generated Node #2: [27, 71, 31] from Operation: 62-31=31 Current State: 67:[27, 71, 31], Operations: ['62-31=31'] Exploring Operation: 27+71=98, Resulting Numbers: [31, 98] Generated Node #3: [31, 98] from Operation: 27+71=98 Current State: 67:[31, 98], Operations: ['62-31=31', '27+71=98'] Exploring Operation: 98-31=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 3, 91, 95, 63 ]
84
[ "63/3=21", "95-91=4", "21*4=84" ]
Current State: 84:[3, 91, 95, 63], Operations: [] Exploring Operation: 63/3=21, Resulting Numbers: [91, 95, 21] Generated Node #2: [91, 95, 21] from Operation: 63/3=21 Current State: 84:[91, 95, 21], Operations: ['63/3=21'] Exploring Operation: 95-91=4, Resulting Numbers: [21, 4] Generated Node #3: [21, 4] from Operation: 95-91=4 Current State: 84:[21, 4], Operations: ['63/3=21', '95-91=4'] Exploring Operation: 21*4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 42, 79, 62, 92 ]
67
[ "79-42=37", "92-62=30", "37+30=67" ]
Current State: 67:[42, 79, 62, 92], Operations: [] Exploring Operation: 79-42=37, Resulting Numbers: [62, 92, 37] Generated Node #2: [62, 92, 37] from Operation: 79-42=37 Current State: 67:[62, 92, 37], Operations: ['79-42=37'] Exploring Operation: 92-62=30, Resulting Numbers: [37, 30] Generated Node #3: [37, 30] from Operation: 92-62=30 Current State: 67:[37, 30], Operations: ['79-42=37', '92-62=30'] Exploring Operation: 37+30=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 49, 32, 29, 80 ]
29
[ "49+32=81", "81-80=1", "29*1=29" ]
Current State: 29:[49, 32, 29, 80], Operations: [] Exploring Operation: 49+32=81, Resulting Numbers: [29, 80, 81] Generated Node #2: [29, 80, 81] from Operation: 49+32=81 Current State: 29:[29, 80, 81], Operations: ['49+32=81'] Exploring Operation: 81-80=1, Resulting Numbers: [29, 1] Generated Node #3: [29, 1] from Operation: 81-80=1 Current State: 29:[29, 1], Operations: ['49+32=81', '81-80=1'] Exploring Operation: 29*1=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 79, 12, 63, 33 ]
82
[ "33-12=21", "63/21=3", "79+3=82" ]
Current State: 82:[79, 12, 63, 33], Operations: [] Exploring Operation: 33-12=21, Resulting Numbers: [79, 63, 21] Generated Node #2: [79, 63, 21] from Operation: 33-12=21 Current State: 82:[79, 63, 21], Operations: ['33-12=21'] Exploring Operation: 63/21=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 63/21=3 Current State: 82:[79, 3], Operations: ['33-12=21', '63/21=3'] Exploring Operation: 79+3=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 95, 19, 23, 26 ]
66
[ "26-19=7", "23*7=161", "161-95=66" ]
Current State: 66:[95, 19, 23, 26], Operations: [] Exploring Operation: 26-19=7, Resulting Numbers: [95, 23, 7] Generated Node #2: [95, 23, 7] from Operation: 26-19=7 Current State: 66:[95, 23, 7], Operations: ['26-19=7'] Exploring Operation: 23*7=161, Resulting Numbers: [95, 161] Generated Node #3: [95, 161] from Operation: 23*7=161 Current State: 66:[95, 161], Operations: ['26-19=7', '23*7=161'] Exploring Operation: 161-95=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 59, 7, 91, 31 ]
17
[ "59+91=150", "150-31=119", "119/7=17" ]
Current State: 17:[59, 7, 91, 31], Operations: [] Exploring Operation: 59+91=150, Resulting Numbers: [7, 31, 150] Generated Node #2: [7, 31, 150] from Operation: 59+91=150 Current State: 17:[7, 31, 150], Operations: ['59+91=150'] Exploring Operation: 150-31=119, Resulting Numbers: [7, 119] Generated Node #3: [7, 119] from Operation: 150-31=119 Current State: 17:[7, 119], Operations: ['59+91=150', '150-31=119'] Exploring Operation: 119/7=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 4, 26, 79, 42 ]
49
[ "26*79=2054", "4+2054=2058", "2058/42=49" ]
Current State: 49:[4, 26, 79, 42], Operations: [] Exploring Operation: 26*79=2054, Resulting Numbers: [4, 42, 2054] Generated Node #2: [4, 42, 2054] from Operation: 26*79=2054 Current State: 49:[4, 42, 2054], Operations: ['26*79=2054'] Exploring Operation: 4+2054=2058, Resulting Numbers: [42, 2058] Generated Node #3: [42, 2058] from Operation: 4+2054=2058 Current State: 49:[42, 2058], Operations: ['26*79=2054', '4+2054=2058'] Exploring Operation: 2058/42=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 38, 71, 7, 8 ]
18
[ "71-38=33", "7+8=15", "33-15=18" ]
Current State: 18:[38, 71, 7, 8], Operations: [] Exploring Operation: 71-38=33, Resulting Numbers: [7, 8, 33] Generated Node #2: [7, 8, 33] from Operation: 71-38=33 Current State: 18:[7, 8, 33], Operations: ['71-38=33'] Exploring Operation: 7+8=15, Resulting Numbers: [33, 15] Generated Node #3: [33, 15] from Operation: 7+8=15 Current State: 18:[33, 15], Operations: ['71-38=33', '7+8=15'] Exploring Operation: 33-15=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 13, 31, 16, 25 ]
44
[ "16-13=3", "25*3=75", "75-31=44" ]
Current State: 44:[13, 31, 16, 25], Operations: [] Exploring Operation: 16-13=3, Resulting Numbers: [31, 25, 3] Generated Node #2: [31, 25, 3] from Operation: 16-13=3 Current State: 44:[31, 25, 3], Operations: ['16-13=3'] Exploring Operation: 25*3=75, Resulting Numbers: [31, 75] Generated Node #3: [31, 75] from Operation: 25*3=75 Current State: 44:[31, 75], Operations: ['16-13=3', '25*3=75'] Exploring Operation: 75-31=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 5, 36, 21, 43 ]
56
[ "43-36=7", "5*7=35", "21+35=56" ]
Current State: 56:[5, 36, 21, 43], Operations: [] Exploring Operation: 43-36=7, Resulting Numbers: [5, 21, 7] Generated Node #2: [5, 21, 7] from Operation: 43-36=7 Current State: 56:[5, 21, 7], Operations: ['43-36=7'] Exploring Operation: 5*7=35, Resulting Numbers: [21, 35] Generated Node #3: [21, 35] from Operation: 5*7=35 Current State: 56:[21, 35], Operations: ['43-36=7', '5*7=35'] Exploring Operation: 21+35=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 32, 88, 7, 46 ]
86
[ "46-32=14", "14/7=2", "88-2=86" ]
Current State: 86:[32, 88, 7, 46], Operations: [] Exploring Operation: 46-32=14, Resulting Numbers: [88, 7, 14] Generated Node #2: [88, 7, 14] from Operation: 46-32=14 Current State: 86:[88, 7, 14], Operations: ['46-32=14'] Exploring Operation: 14/7=2, Resulting Numbers: [88, 2] Generated Node #3: [88, 2] from Operation: 14/7=2 Current State: 86:[88, 2], Operations: ['46-32=14', '14/7=2'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 3, 71, 19, 41 ]
31
[ "71-19=52", "41+52=93", "93/3=31" ]
Current State: 31:[3, 71, 19, 41], Operations: [] Exploring Operation: 71-19=52, Resulting Numbers: [3, 41, 52] Generated Node #2: [3, 41, 52] from Operation: 71-19=52 Current State: 31:[3, 41, 52], Operations: ['71-19=52'] Exploring Operation: 41+52=93, Resulting Numbers: [3, 93] Generated Node #3: [3, 93] from Operation: 41+52=93 Current State: 31:[3, 93], Operations: ['71-19=52', '41+52=93'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 9, 87, 74, 59 ]
58
[ "87-74=13", "9*13=117", "117-59=58" ]
Current State: 58:[9, 87, 74, 59], Operations: [] Exploring Operation: 87-74=13, Resulting Numbers: [9, 59, 13] Generated Node #2: [9, 59, 13] from Operation: 87-74=13 Current State: 58:[9, 59, 13], Operations: ['87-74=13'] Exploring Operation: 9*13=117, Resulting Numbers: [59, 117] Generated Node #3: [59, 117] from Operation: 9*13=117 Current State: 58:[59, 117], Operations: ['87-74=13', '9*13=117'] Exploring Operation: 117-59=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 45, 64, 29, 5 ]
66
[ "64-45=19", "5*19=95", "95-29=66" ]
Current State: 66:[45, 64, 29, 5], Operations: [] Exploring Operation: 64-45=19, Resulting Numbers: [29, 5, 19] Generated Node #2: [29, 5, 19] from Operation: 64-45=19 Current State: 66:[29, 5, 19], Operations: ['64-45=19'] Exploring Operation: 5*19=95, Resulting Numbers: [29, 95] Generated Node #3: [29, 95] from Operation: 5*19=95 Current State: 66:[29, 95], Operations: ['64-45=19', '5*19=95'] Exploring Operation: 95-29=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 73, 35, 44, 22 ]
19
[ "73-35=38", "44/22=2", "38/2=19" ]
Current State: 19:[73, 35, 44, 22], Operations: [] Exploring Operation: 73-35=38, Resulting Numbers: [44, 22, 38] Generated Node #2: [44, 22, 38] from Operation: 73-35=38 Current State: 19:[44, 22, 38], Operations: ['73-35=38'] Exploring Operation: 44/22=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 44/22=2 Current State: 19:[38, 2], Operations: ['73-35=38', '44/22=2'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 17, 9, 7, 68 ]
53
[ "17-9=8", "68-7=61", "61-8=53" ]
Current State: 53:[17, 9, 7, 68], Operations: [] Exploring Operation: 17-9=8, Resulting Numbers: [7, 68, 8] Generated Node #2: [7, 68, 8] from Operation: 17-9=8 Current State: 53:[7, 68, 8], Operations: ['17-9=8'] Exploring Operation: 68-7=61, Resulting Numbers: [8, 61] Generated Node #3: [8, 61] from Operation: 68-7=61 Current State: 53:[8, 61], Operations: ['17-9=8', '68-7=61'] Exploring Operation: 61-8=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 11, 66, 27, 12 ]
40
[ "66-11=55", "27-12=15", "55-15=40" ]
Current State: 40:[11, 66, 27, 12], Operations: [] Exploring Operation: 66-11=55, Resulting Numbers: [27, 12, 55] Generated Node #2: [27, 12, 55] from Operation: 66-11=55 Current State: 40:[27, 12, 55], Operations: ['66-11=55'] Exploring Operation: 27-12=15, Resulting Numbers: [55, 15] Generated Node #3: [55, 15] from Operation: 27-12=15 Current State: 40:[55, 15], Operations: ['66-11=55', '27-12=15'] Exploring Operation: 55-15=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 30, 9, 46, 5 ]
95
[ "30*5=150", "9+46=55", "150-55=95" ]
Current State: 95:[30, 9, 46, 5], Operations: [] Exploring Operation: 30*5=150, Resulting Numbers: [9, 46, 150] Generated Node #2: [9, 46, 150] from Operation: 30*5=150 Current State: 95:[9, 46, 150], Operations: ['30*5=150'] Exploring Operation: 9+46=55, Resulting Numbers: [150, 55] Generated Node #3: [150, 55] from Operation: 9+46=55 Current State: 95:[150, 55], Operations: ['30*5=150', '9+46=55'] Exploring Operation: 150-55=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 3, 75, 81, 47 ]
29
[ "81-75=6", "3*6=18", "47-18=29" ]
Current State: 29:[3, 75, 81, 47], Operations: [] Exploring Operation: 81-75=6, Resulting Numbers: [3, 47, 6] Generated Node #2: [3, 47, 6] from Operation: 81-75=6 Current State: 29:[3, 47, 6], Operations: ['81-75=6'] Exploring Operation: 3*6=18, Resulting Numbers: [47, 18] Generated Node #3: [47, 18] from Operation: 3*6=18 Current State: 29:[47, 18], Operations: ['81-75=6', '3*6=18'] Exploring Operation: 47-18=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 1, 47, 84, 92 ]
55
[ "1*47=47", "92-84=8", "47+8=55" ]
Current State: 55:[1, 47, 84, 92], Operations: [] Exploring Operation: 1*47=47, Resulting Numbers: [84, 92, 47] Generated Node #2: [84, 92, 47] from Operation: 1*47=47 Current State: 55:[84, 92, 47], Operations: ['1*47=47'] Exploring Operation: 92-84=8, Resulting Numbers: [47, 8] Generated Node #3: [47, 8] from Operation: 92-84=8 Current State: 55:[47, 8], Operations: ['1*47=47', '92-84=8'] Exploring Operation: 47+8=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 17, 39, 47, 78 ]
28
[ "47-17=30", "78/39=2", "30-2=28" ]
Current State: 28:[17, 39, 47, 78], Operations: [] Exploring Operation: 47-17=30, Resulting Numbers: [39, 78, 30] Generated Node #2: [39, 78, 30] from Operation: 47-17=30 Current State: 28:[39, 78, 30], Operations: ['47-17=30'] Exploring Operation: 78/39=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 78/39=2 Current State: 28:[30, 2], Operations: ['47-17=30', '78/39=2'] Exploring Operation: 30-2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 92, 92, 75, 20 ]
54
[ "92/92=1", "75-20=55", "55-1=54" ]
Current State: 54:[92, 92, 75, 20], Operations: [] Exploring Operation: 92/92=1, Resulting Numbers: [75, 20, 1] Generated Node #2: [75, 20, 1] from Operation: 92/92=1 Current State: 54:[75, 20, 1], Operations: ['92/92=1'] Exploring Operation: 75-20=55, Resulting Numbers: [1, 55] Generated Node #3: [1, 55] from Operation: 75-20=55 Current State: 54:[1, 55], Operations: ['92/92=1', '75-20=55'] Exploring Operation: 55-1=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 47, 70, 76, 4 ]
57
[ "70-47=23", "76+4=80", "80-23=57" ]
Current State: 57:[47, 70, 76, 4], Operations: [] Exploring Operation: 70-47=23, Resulting Numbers: [76, 4, 23] Generated Node #2: [76, 4, 23] from Operation: 70-47=23 Current State: 57:[76, 4, 23], Operations: ['70-47=23'] Exploring Operation: 76+4=80, Resulting Numbers: [23, 80] Generated Node #3: [23, 80] from Operation: 76+4=80 Current State: 57:[23, 80], Operations: ['70-47=23', '76+4=80'] Exploring Operation: 80-23=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 71, 3, 63, 2 ]
61
[ "3+63=66", "2*66=132", "132-71=61" ]
Current State: 61:[71, 3, 63, 2], Operations: [] Exploring Operation: 3+63=66, Resulting Numbers: [71, 2, 66] Generated Node #2: [71, 2, 66] from Operation: 3+63=66 Current State: 61:[71, 2, 66], Operations: ['3+63=66'] Exploring Operation: 2*66=132, Resulting Numbers: [71, 132] Generated Node #3: [71, 132] from Operation: 2*66=132 Current State: 61:[71, 132], Operations: ['3+63=66', '2*66=132'] Exploring Operation: 132-71=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 23, 86, 91, 42 ]
24
[ "23+86=109", "91+42=133", "133-109=24" ]
Current State: 24:[23, 86, 91, 42], Operations: [] Exploring Operation: 23+86=109, Resulting Numbers: [91, 42, 109] Generated Node #2: [91, 42, 109] from Operation: 23+86=109 Current State: 24:[91, 42, 109], Operations: ['23+86=109'] Exploring Operation: 91+42=133, Resulting Numbers: [109, 133] Generated Node #3: [109, 133] from Operation: 91+42=133 Current State: 24:[109, 133], Operations: ['23+86=109', '91+42=133'] Exploring Operation: 133-109=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 55, 36, 6, 48 ]
69
[ "36+48=84", "84/6=14", "55+14=69" ]
Current State: 69:[55, 36, 6, 48], Operations: [] Exploring Operation: 36+48=84, Resulting Numbers: [55, 6, 84] Generated Node #2: [55, 6, 84] from Operation: 36+48=84 Current State: 69:[55, 6, 84], Operations: ['36+48=84'] Exploring Operation: 84/6=14, Resulting Numbers: [55, 14] Generated Node #3: [55, 14] from Operation: 84/6=14 Current State: 69:[55, 14], Operations: ['36+48=84', '84/6=14'] Exploring Operation: 55+14=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 3, 16, 98, 23 ]
45
[ "3*23=69", "16+98=114", "114-69=45" ]
Current State: 45:[3, 16, 98, 23], Operations: [] Exploring Operation: 3*23=69, Resulting Numbers: [16, 98, 69] Generated Node #2: [16, 98, 69] from Operation: 3*23=69 Current State: 45:[16, 98, 69], Operations: ['3*23=69'] Exploring Operation: 16+98=114, Resulting Numbers: [69, 114] Generated Node #3: [69, 114] from Operation: 16+98=114 Current State: 45:[69, 114], Operations: ['3*23=69', '16+98=114'] Exploring Operation: 114-69=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 48, 70, 25, 18 ]
58
[ "25-18=7", "70/7=10", "48+10=58" ]
Current State: 58:[48, 70, 25, 18], Operations: [] Exploring Operation: 25-18=7, Resulting Numbers: [48, 70, 7] Generated Node #2: [48, 70, 7] from Operation: 25-18=7 Current State: 58:[48, 70, 7], Operations: ['25-18=7'] Exploring Operation: 70/7=10, Resulting Numbers: [48, 10] Generated Node #3: [48, 10] from Operation: 70/7=10 Current State: 58:[48, 10], Operations: ['25-18=7', '70/7=10'] Exploring Operation: 48+10=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 5, 5, 26, 80 ]
42
[ "5*26=130", "80+130=210", "210/5=42" ]
Current State: 42:[5, 5, 26, 80], Operations: [] Exploring Operation: 5*26=130, Resulting Numbers: [80, 130] Generated Node #2: [80, 130] from Operation: 5*26=130 Current State: 42:[80, 130], Operations: ['5*26=130'] Exploring Operation: 80+130=210, Resulting Numbers: [210] 210,42 equal: Goal Reached Exploring Operation: 210/5=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 92, 51, 2, 82 ]
30
[ "82-51=31", "2*31=62", "92-62=30" ]
Current State: 30:[92, 51, 2, 82], Operations: [] Exploring Operation: 82-51=31, Resulting Numbers: [92, 2, 31] Generated Node #2: [92, 2, 31] from Operation: 82-51=31 Current State: 30:[92, 2, 31], Operations: ['82-51=31'] Exploring Operation: 2*31=62, Resulting Numbers: [92, 62] Generated Node #3: [92, 62] from Operation: 2*31=62 Current State: 30:[92, 62], Operations: ['82-51=31', '2*31=62'] Exploring Operation: 92-62=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 53, 54, 43, 4 ]
68
[ "53+54=107", "43-4=39", "107-39=68" ]
Current State: 68:[53, 54, 43, 4], Operations: [] Exploring Operation: 53+54=107, Resulting Numbers: [43, 4, 107] Generated Node #2: [43, 4, 107] from Operation: 53+54=107 Current State: 68:[43, 4, 107], Operations: ['53+54=107'] Exploring Operation: 43-4=39, Resulting Numbers: [107, 39] Generated Node #3: [107, 39] from Operation: 43-4=39 Current State: 68:[107, 39], Operations: ['53+54=107', '43-4=39'] Exploring Operation: 107-39=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 36, 5, 63, 34 ]
29
[ "36-34=2", "63-5=58", "58/2=29" ]
Current State: 29:[36, 5, 63, 34], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [5, 63, 2] Generated Node #2: [5, 63, 2] from Operation: 36-34=2 Current State: 29:[5, 63, 2], Operations: ['36-34=2'] Exploring Operation: 63-5=58, Resulting Numbers: [2, 58] Generated Node #3: [2, 58] from Operation: 63-5=58 Current State: 29:[2, 58], Operations: ['36-34=2', '63-5=58'] Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4