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
[ 40, 4, 94, 28 ]
86
[ "40-4=36", "94+28=122", "122-36=86" ]
Current State: 86:[40, 4, 94, 28], Operations: [] Exploring Operation: 40-4=36, Resulting Numbers: [94, 28, 36] Generated Node #2: [94, 28, 36] from Operation: 40-4=36 Current State: 86:[94, 28, 36], Operations: ['40-4=36'] Exploring Operation: 94+28=122, Resulting Numbers: [36, 122] Generated Node #3: [36, 122] from Operation: 94+28=122 Current State: 86:[36, 122], Operations: ['40-4=36', '94+28=122'] Exploring Operation: 122-36=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 69, 11, 74, 66 ]
21
[ "69-66=3", "74-11=63", "63/3=21" ]
Current State: 21:[69, 11, 74, 66], Operations: [] Exploring Operation: 69-66=3, Resulting Numbers: [11, 74, 3] Generated Node #2: [11, 74, 3] from Operation: 69-66=3 Current State: 21:[11, 74, 3], Operations: ['69-66=3'] Exploring Operation: 74-11=63, Resulting Numbers: [3, 63] Generated Node #3: [3, 63] from Operation: 74-11=63 Current State: 21:[3, 63], Operations: ['69-66=3', '74-11=63'] Exploring Operation: 63/3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 88, 3, 94, 55 ]
53
[ "94-88=6", "6/3=2", "55-2=53" ]
Current State: 53:[88, 3, 94, 55], Operations: [] Exploring Operation: 94-88=6, Resulting Numbers: [3, 55, 6] Generated Node #2: [3, 55, 6] from Operation: 94-88=6 Current State: 53:[3, 55, 6], Operations: ['94-88=6'] Exploring Operation: 6/3=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 6/3=2 Current State: 53:[55, 2], Operations: ['94-88=6', '6/3=2'] Exploring Operation: 55-2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 89, 7, 59, 33 ]
83
[ "89+59=148", "7*33=231", "231-148=83" ]
Current State: 83:[89, 7, 59, 33], Operations: [] Exploring Operation: 89+59=148, Resulting Numbers: [7, 33, 148] Generated Node #2: [7, 33, 148] from Operation: 89+59=148 Current State: 83:[7, 33, 148], Operations: ['89+59=148'] Exploring Operation: 7*33=231, Resulting Numbers: [148, 231] Generated Node #3: [148, 231] from Operation: 7*33=231 Current State: 83:[148, 231], Operations: ['89+59=148', '7*33=231'] Exploring Operation: 231-148=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 69, 43, 93, 7 ]
26
[ "69+43=112", "93-7=86", "112-86=26" ]
Current State: 26:[69, 43, 93, 7], Operations: [] Exploring Operation: 69+43=112, Resulting Numbers: [93, 7, 112] Generated Node #2: [93, 7, 112] from Operation: 69+43=112 Current State: 26:[93, 7, 112], Operations: ['69+43=112'] Exploring Operation: 93-7=86, Resulting Numbers: [112, 86] Generated Node #3: [112, 86] from Operation: 93-7=86 Current State: 26:[112, 86], Operations: ['69+43=112', '93-7=86'] Exploring Operation: 112-86=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 3, 31, 65, 9 ]
90
[ "3+31=34", "65-9=56", "34+56=90" ]
Current State: 90:[3, 31, 65, 9], Operations: [] Exploring Operation: 3+31=34, Resulting Numbers: [65, 9, 34] Generated Node #2: [65, 9, 34] from Operation: 3+31=34 Current State: 90:[65, 9, 34], Operations: ['3+31=34'] Exploring Operation: 65-9=56, Resulting Numbers: [34, 56] Generated Node #3: [34, 56] from Operation: 65-9=56 Current State: 90:[34, 56], Operations: ['3+31=34', '65-9=56'] Exploring Operation: 34+56=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 8, 50, 77, 6 ]
13
[ "8+50=58", "77-6=71", "71-58=13" ]
Current State: 13:[8, 50, 77, 6], Operations: [] Exploring Operation: 8+50=58, Resulting Numbers: [77, 6, 58] Generated Node #2: [77, 6, 58] from Operation: 8+50=58 Current State: 13:[77, 6, 58], Operations: ['8+50=58'] Exploring Operation: 77-6=71, Resulting Numbers: [58, 71] Generated Node #3: [58, 71] from Operation: 77-6=71 Current State: 13:[58, 71], Operations: ['8+50=58', '77-6=71'] Exploring Operation: 71-58=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 48, 43, 57, 67 ]
33
[ "48+43=91", "57+67=124", "124-91=33" ]
Current State: 33:[48, 43, 57, 67], Operations: [] Exploring Operation: 48+43=91, Resulting Numbers: [57, 67, 91] Generated Node #2: [57, 67, 91] from Operation: 48+43=91 Current State: 33:[57, 67, 91], Operations: ['48+43=91'] Exploring Operation: 57+67=124, Resulting Numbers: [91, 124] Generated Node #3: [91, 124] from Operation: 57+67=124 Current State: 33:[91, 124], Operations: ['48+43=91', '57+67=124'] Exploring Operation: 124-91=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 8, 87, 95, 78 ]
79
[ "8+87=95", "95/95=1", "78+1=79" ]
Current State: 79:[8, 87, 95, 78], Operations: [] Exploring Operation: 8+87=95, Resulting Numbers: [95, 78, 95] Generated Node #2: [95, 78, 95] from Operation: 8+87=95 Current State: 79:[95, 78, 95], Operations: ['8+87=95'] Exploring Operation: 95/95=1, Resulting Numbers: [78, 1] Generated Node #3: [78, 1] from Operation: 95/95=1 Current State: 79:[78, 1], Operations: ['8+87=95', '95/95=1'] Exploring Operation: 78+1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 22, 15, 70, 46 ]
38
[ "22*46=1012", "15*70=1050", "1050-1012=38" ]
Current State: 38:[22, 15, 70, 46], Operations: [] Exploring Operation: 22*46=1012, Resulting Numbers: [15, 70, 1012] Generated Node #2: [15, 70, 1012] from Operation: 22*46=1012 Current State: 38:[15, 70, 1012], Operations: ['22*46=1012'] Exploring Operation: 15*70=1050, Resulting Numbers: [1012, 1050] Generated Node #3: [1012, 1050] from Operation: 15*70=1050 Current State: 38:[1012, 1050], Operations: ['22*46=1012', '15*70=1050'] Exploring Operation: 1050-1012=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 12, 2, 74, 22 ]
53
[ "74-12=62", "62/2=31", "22+31=53" ]
Current State: 53:[12, 2, 74, 22], Operations: [] Exploring Operation: 74-12=62, Resulting Numbers: [2, 22, 62] Generated Node #2: [2, 22, 62] from Operation: 74-12=62 Current State: 53:[2, 22, 62], Operations: ['74-12=62'] Exploring Operation: 62/2=31, Resulting Numbers: [22, 31] Generated Node #3: [22, 31] from Operation: 62/2=31 Current State: 53:[22, 31], Operations: ['74-12=62', '62/2=31'] Exploring Operation: 22+31=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 34, 20, 39, 57 ]
36
[ "34+20=54", "57-39=18", "54-18=36" ]
Current State: 36:[34, 20, 39, 57], Operations: [] Exploring Operation: 34+20=54, Resulting Numbers: [39, 57, 54] Generated Node #2: [39, 57, 54] from Operation: 34+20=54 Current State: 36:[39, 57, 54], Operations: ['34+20=54'] Exploring Operation: 57-39=18, Resulting Numbers: [54, 18] Generated Node #3: [54, 18] from Operation: 57-39=18 Current State: 36:[54, 18], Operations: ['34+20=54', '57-39=18'] Exploring Operation: 54-18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 19, 64, 95, 69 ]
81
[ "19+64=83", "95+69=164", "164-83=81" ]
Current State: 81:[19, 64, 95, 69], Operations: [] Exploring Operation: 19+64=83, Resulting Numbers: [95, 69, 83] Generated Node #2: [95, 69, 83] from Operation: 19+64=83 Current State: 81:[95, 69, 83], Operations: ['19+64=83'] Exploring Operation: 95+69=164, Resulting Numbers: [83, 164] Generated Node #3: [83, 164] from Operation: 95+69=164 Current State: 81:[83, 164], Operations: ['19+64=83', '95+69=164'] Exploring Operation: 164-83=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 62, 33, 65, 44 ]
80
[ "62-33=29", "65+44=109", "109-29=80" ]
Current State: 80:[62, 33, 65, 44], Operations: [] Exploring Operation: 62-33=29, Resulting Numbers: [65, 44, 29] Generated Node #2: [65, 44, 29] from Operation: 62-33=29 Current State: 80:[65, 44, 29], Operations: ['62-33=29'] Exploring Operation: 65+44=109, Resulting Numbers: [29, 109] Generated Node #3: [29, 109] from Operation: 65+44=109 Current State: 80:[29, 109], Operations: ['62-33=29', '65+44=109'] Exploring Operation: 109-29=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 72, 46, 11, 56 ]
72
[ "46+11=57", "57-56=1", "72*1=72" ]
Current State: 72:[72, 46, 11, 56], Operations: [] Exploring Operation: 46+11=57, Resulting Numbers: [72, 56, 57] Generated Node #2: [72, 56, 57] from Operation: 46+11=57 Current State: 72:[72, 56, 57], Operations: ['46+11=57'] Exploring Operation: 57-56=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 57-56=1 Current State: 72:[72, 1], Operations: ['46+11=57', '57-56=1'] Exploring Operation: 72*1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 88, 22, 32, 11 ]
76
[ "88/22=4", "11*4=44", "32+44=76" ]
Current State: 76:[88, 22, 32, 11], Operations: [] Exploring Operation: 88/22=4, Resulting Numbers: [32, 11, 4] Generated Node #2: [32, 11, 4] from Operation: 88/22=4 Current State: 76:[32, 11, 4], Operations: ['88/22=4'] Exploring Operation: 11*4=44, Resulting Numbers: [32, 44] Generated Node #3: [32, 44] from Operation: 11*4=44 Current State: 76:[32, 44], Operations: ['88/22=4', '11*4=44'] Exploring Operation: 32+44=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 2, 11, 32, 9 ]
44
[ "2*32=64", "11+9=20", "64-20=44" ]
Current State: 44:[2, 11, 32, 9], Operations: [] Exploring Operation: 2*32=64, Resulting Numbers: [11, 9, 64] Generated Node #2: [11, 9, 64] from Operation: 2*32=64 Current State: 44:[11, 9, 64], Operations: ['2*32=64'] Exploring Operation: 11+9=20, Resulting Numbers: [64, 20] Generated Node #3: [64, 20] from Operation: 11+9=20 Current State: 44:[64, 20], Operations: ['2*32=64', '11+9=20'] Exploring Operation: 64-20=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 2, 43, 23, 76 ]
12
[ "43-2=41", "76-23=53", "53-41=12" ]
Current State: 12:[2, 43, 23, 76], Operations: [] Exploring Operation: 43-2=41, Resulting Numbers: [23, 76, 41] Generated Node #2: [23, 76, 41] from Operation: 43-2=41 Current State: 12:[23, 76, 41], Operations: ['43-2=41'] Exploring Operation: 76-23=53, Resulting Numbers: [41, 53] Generated Node #3: [41, 53] from Operation: 76-23=53 Current State: 12:[41, 53], Operations: ['43-2=41', '76-23=53'] Exploring Operation: 53-41=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 27, 34, 74, 50 ]
46
[ "34+74=108", "108/27=4", "50-4=46" ]
Current State: 46:[27, 34, 74, 50], Operations: [] Exploring Operation: 34+74=108, Resulting Numbers: [27, 50, 108] Generated Node #2: [27, 50, 108] from Operation: 34+74=108 Current State: 46:[27, 50, 108], Operations: ['34+74=108'] Exploring Operation: 108/27=4, Resulting Numbers: [50, 4] Generated Node #3: [50, 4] from Operation: 108/27=4 Current State: 46:[50, 4], Operations: ['34+74=108', '108/27=4'] Exploring Operation: 50-4=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 52, 8, 5, 2 ]
46
[ "8*5=40", "52+40=92", "92/2=46" ]
Current State: 46:[52, 8, 5, 2], Operations: [] Exploring Operation: 8*5=40, Resulting Numbers: [52, 2, 40] Generated Node #2: [52, 2, 40] from Operation: 8*5=40 Current State: 46:[52, 2, 40], Operations: ['8*5=40'] Exploring Operation: 52+40=92, Resulting Numbers: [2, 92] Generated Node #3: [2, 92] from Operation: 52+40=92 Current State: 46:[2, 92], Operations: ['8*5=40', '52+40=92'] Exploring Operation: 92/2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 93, 42, 26, 8 ]
91
[ "42-26=16", "16/8=2", "93-2=91" ]
Current State: 91:[93, 42, 26, 8], Operations: [] Exploring Operation: 42-26=16, Resulting Numbers: [93, 8, 16] Generated Node #2: [93, 8, 16] from Operation: 42-26=16 Current State: 91:[93, 8, 16], Operations: ['42-26=16'] Exploring Operation: 16/8=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 16/8=2 Current State: 91:[93, 2], Operations: ['42-26=16', '16/8=2'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 15, 29, 81, 87 ]
86
[ "15*29=435", "435/87=5", "81+5=86" ]
Current State: 86:[15, 29, 81, 87], Operations: [] Exploring Operation: 15*29=435, Resulting Numbers: [81, 87, 435] Generated Node #2: [81, 87, 435] from Operation: 15*29=435 Current State: 86:[81, 87, 435], Operations: ['15*29=435'] Exploring Operation: 435/87=5, Resulting Numbers: [81, 5] Generated Node #3: [81, 5] from Operation: 435/87=5 Current State: 86:[81, 5], Operations: ['15*29=435', '435/87=5'] Exploring Operation: 81+5=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 53, 41, 44, 97 ]
50
[ "53+97=150", "44-41=3", "150/3=50" ]
Current State: 50:[53, 41, 44, 97], Operations: [] Exploring Operation: 53+97=150, Resulting Numbers: [41, 44, 150] Generated Node #2: [41, 44, 150] from Operation: 53+97=150 Current State: 50:[41, 44, 150], Operations: ['53+97=150'] Exploring Operation: 44-41=3, Resulting Numbers: [150, 3] Generated Node #3: [150, 3] from Operation: 44-41=3 Current State: 50:[150, 3], Operations: ['53+97=150', '44-41=3'] Exploring Operation: 150/3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 74, 73, 54, 38 ]
15
[ "74-73=1", "54-38=16", "16-1=15" ]
Current State: 15:[74, 73, 54, 38], Operations: [] Exploring Operation: 74-73=1, Resulting Numbers: [54, 38, 1] Generated Node #2: [54, 38, 1] from Operation: 74-73=1 Current State: 15:[54, 38, 1], Operations: ['74-73=1'] Exploring Operation: 54-38=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 54-38=16 Current State: 15:[1, 16], Operations: ['74-73=1', '54-38=16'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 17, 18, 54, 16 ]
99
[ "17+16=33", "54/18=3", "33*3=99" ]
Current State: 99:[17, 18, 54, 16], Operations: [] Exploring Operation: 17+16=33, Resulting Numbers: [18, 54, 33] Generated Node #2: [18, 54, 33] from Operation: 17+16=33 Current State: 99:[18, 54, 33], Operations: ['17+16=33'] Exploring Operation: 54/18=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 54/18=3 Current State: 99:[33, 3], Operations: ['17+16=33', '54/18=3'] Exploring Operation: 33*3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 11, 12, 66, 8 ]
80
[ "66/11=6", "12*6=72", "8+72=80" ]
Current State: 80:[11, 12, 66, 8], Operations: [] Exploring Operation: 66/11=6, Resulting Numbers: [12, 8, 6] Generated Node #2: [12, 8, 6] from Operation: 66/11=6 Current State: 80:[12, 8, 6], Operations: ['66/11=6'] Exploring Operation: 12*6=72, Resulting Numbers: [8, 72] Generated Node #3: [8, 72] from Operation: 12*6=72 Current State: 80:[8, 72], Operations: ['66/11=6', '12*6=72'] Exploring Operation: 8+72=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 68, 8, 87, 17 ]
91
[ "68/17=4", "8+87=95", "95-4=91" ]
Current State: 91:[68, 8, 87, 17], Operations: [] Exploring Operation: 68/17=4, Resulting Numbers: [8, 87, 4] Generated Node #2: [8, 87, 4] from Operation: 68/17=4 Current State: 91:[8, 87, 4], Operations: ['68/17=4'] Exploring Operation: 8+87=95, Resulting Numbers: [4, 95] Generated Node #3: [4, 95] from Operation: 8+87=95 Current State: 91:[4, 95], Operations: ['68/17=4', '8+87=95'] Exploring Operation: 95-4=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 88, 24, 84, 7 ]
76
[ "88-24=64", "84/7=12", "64+12=76" ]
Current State: 76:[88, 24, 84, 7], Operations: [] Exploring Operation: 88-24=64, Resulting Numbers: [84, 7, 64] Generated Node #2: [84, 7, 64] from Operation: 88-24=64 Current State: 76:[84, 7, 64], Operations: ['88-24=64'] Exploring Operation: 84/7=12, Resulting Numbers: [64, 12] Generated Node #3: [64, 12] from Operation: 84/7=12 Current State: 76:[64, 12], Operations: ['88-24=64', '84/7=12'] Exploring Operation: 64+12=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 59, 7, 94, 48 ]
17
[ "59-48=11", "7*11=77", "94-77=17" ]
Current State: 17:[59, 7, 94, 48], Operations: [] Exploring Operation: 59-48=11, Resulting Numbers: [7, 94, 11] Generated Node #2: [7, 94, 11] from Operation: 59-48=11 Current State: 17:[7, 94, 11], Operations: ['59-48=11'] Exploring Operation: 7*11=77, Resulting Numbers: [94, 77] Generated Node #3: [94, 77] from Operation: 7*11=77 Current State: 17:[94, 77], Operations: ['59-48=11', '7*11=77'] Exploring Operation: 94-77=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 26, 51, 12, 55 ]
92
[ "51-26=25", "12+55=67", "25+67=92" ]
Current State: 92:[26, 51, 12, 55], Operations: [] Exploring Operation: 51-26=25, Resulting Numbers: [12, 55, 25] Generated Node #2: [12, 55, 25] from Operation: 51-26=25 Current State: 92:[12, 55, 25], Operations: ['51-26=25'] Exploring Operation: 12+55=67, Resulting Numbers: [25, 67] Generated Node #3: [25, 67] from Operation: 12+55=67 Current State: 92:[25, 67], Operations: ['51-26=25', '12+55=67'] Exploring Operation: 25+67=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 63, 1, 44, 51 ]
73
[ "63*51=3213", "3213-1=3212", "3212/44=73" ]
Current State: 73:[63, 1, 44, 51], Operations: [] Exploring Operation: 63*51=3213, Resulting Numbers: [1, 44, 3213] Generated Node #2: [1, 44, 3213] from Operation: 63*51=3213 Current State: 73:[1, 44, 3213], Operations: ['63*51=3213'] Exploring Operation: 3213-1=3212, Resulting Numbers: [44, 3212] Generated Node #3: [44, 3212] from Operation: 3213-1=3212 Current State: 73:[44, 3212], Operations: ['63*51=3213', '3213-1=3212'] Exploring Operation: 3212/44=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 5, 65, 74, 41 ]
88
[ "74+41=115", "115/5=23", "65+23=88" ]
Current State: 88:[5, 65, 74, 41], Operations: [] Exploring Operation: 74+41=115, Resulting Numbers: [5, 65, 115] Generated Node #2: [5, 65, 115] from Operation: 74+41=115 Current State: 88:[5, 65, 115], Operations: ['74+41=115'] Exploring Operation: 115/5=23, Resulting Numbers: [65, 23] Generated Node #3: [65, 23] from Operation: 115/5=23 Current State: 88:[65, 23], Operations: ['74+41=115', '115/5=23'] Exploring Operation: 65+23=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 64, 62, 75, 39 ]
57
[ "64-62=2", "75+39=114", "114/2=57" ]
Current State: 57:[64, 62, 75, 39], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [75, 39, 2] Generated Node #2: [75, 39, 2] from Operation: 64-62=2 Current State: 57:[75, 39, 2], Operations: ['64-62=2'] Exploring Operation: 75+39=114, Resulting Numbers: [2, 114] Generated Node #3: [2, 114] from Operation: 75+39=114 Current State: 57:[2, 114], Operations: ['64-62=2', '75+39=114'] Exploring Operation: 114/2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 54, 76, 73, 49 ]
100
[ "76-54=22", "73+49=122", "122-22=100" ]
Current State: 100:[54, 76, 73, 49], Operations: [] Exploring Operation: 76-54=22, Resulting Numbers: [73, 49, 22] Generated Node #2: [73, 49, 22] from Operation: 76-54=22 Current State: 100:[73, 49, 22], Operations: ['76-54=22'] Exploring Operation: 73+49=122, Resulting Numbers: [22, 122] Generated Node #3: [22, 122] from Operation: 73+49=122 Current State: 100:[22, 122], Operations: ['76-54=22', '73+49=122'] Exploring Operation: 122-22=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 62, 55, 4, 75 ]
67
[ "75-55=20", "20/4=5", "62+5=67" ]
Current State: 67:[62, 55, 4, 75], Operations: [] Exploring Operation: 75-55=20, Resulting Numbers: [62, 4, 20] Generated Node #2: [62, 4, 20] from Operation: 75-55=20 Current State: 67:[62, 4, 20], Operations: ['75-55=20'] Exploring Operation: 20/4=5, Resulting Numbers: [62, 5] Generated Node #3: [62, 5] from Operation: 20/4=5 Current State: 67:[62, 5], Operations: ['75-55=20', '20/4=5'] Exploring Operation: 62+5=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 90, 91, 1, 84 ]
86
[ "91-90=1", "1+84=85", "1+85=86" ]
Current State: 86:[90, 91, 1, 84], Operations: [] Exploring Operation: 91-90=1, Resulting Numbers: [1, 84, 1] Generated Node #2: [1, 84, 1] from Operation: 91-90=1 Current State: 86:[1, 84, 1], Operations: ['91-90=1'] Exploring Operation: 1+84=85, Resulting Numbers: [85] 85,86 equal: Goal Reached Exploring Operation: 1+85=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 60, 9, 45, 88 ]
94
[ "60-9=51", "88-45=43", "51+43=94" ]
Current State: 94:[60, 9, 45, 88], Operations: [] Exploring Operation: 60-9=51, Resulting Numbers: [45, 88, 51] Generated Node #2: [45, 88, 51] from Operation: 60-9=51 Current State: 94:[45, 88, 51], Operations: ['60-9=51'] Exploring Operation: 88-45=43, Resulting Numbers: [51, 43] Generated Node #3: [51, 43] from Operation: 88-45=43 Current State: 94:[51, 43], Operations: ['60-9=51', '88-45=43'] Exploring Operation: 51+43=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 14, 70, 13, 11 ]
88
[ "70/14=5", "13-5=8", "11*8=88" ]
Current State: 88:[14, 70, 13, 11], Operations: [] Exploring Operation: 70/14=5, Resulting Numbers: [13, 11, 5] Generated Node #2: [13, 11, 5] from Operation: 70/14=5 Current State: 88:[13, 11, 5], Operations: ['70/14=5'] Exploring Operation: 13-5=8, Resulting Numbers: [11, 8] Generated Node #3: [11, 8] from Operation: 13-5=8 Current State: 88:[11, 8], Operations: ['70/14=5', '13-5=8'] Exploring Operation: 11*8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 67, 28, 65, 40 ]
14
[ "67-28=39", "65-40=25", "39-25=14" ]
Current State: 14:[67, 28, 65, 40], Operations: [] Exploring Operation: 67-28=39, Resulting Numbers: [65, 40, 39] Generated Node #2: [65, 40, 39] from Operation: 67-28=39 Current State: 14:[65, 40, 39], Operations: ['67-28=39'] Exploring Operation: 65-40=25, Resulting Numbers: [39, 25] Generated Node #3: [39, 25] from Operation: 65-40=25 Current State: 14:[39, 25], Operations: ['67-28=39', '65-40=25'] Exploring Operation: 39-25=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 94, 77, 4, 48 ]
61
[ "94-77=17", "48-4=44", "17+44=61" ]
Current State: 61:[94, 77, 4, 48], Operations: [] Exploring Operation: 94-77=17, Resulting Numbers: [4, 48, 17] Generated Node #2: [4, 48, 17] from Operation: 94-77=17 Current State: 61:[4, 48, 17], Operations: ['94-77=17'] Exploring Operation: 48-4=44, Resulting Numbers: [17, 44] Generated Node #3: [17, 44] from Operation: 48-4=44 Current State: 61:[17, 44], Operations: ['94-77=17', '48-4=44'] Exploring Operation: 17+44=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 9, 5, 49, 5 ]
39
[ "49-9=40", "5/5=1", "40-1=39" ]
Current State: 39:[9, 5, 49, 5], Operations: [] Exploring Operation: 49-9=40, Resulting Numbers: [5, 5, 40] Generated Node #2: [5, 5, 40] from Operation: 49-9=40 Current State: 39:[5, 5, 40], Operations: ['49-9=40'] Exploring Operation: 5/5=1, Resulting Numbers: [40, 1] Generated Node #3: [40, 1] from Operation: 5/5=1 Current State: 39:[40, 1], Operations: ['49-9=40', '5/5=1'] Exploring Operation: 40-1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 5, 99, 93, 89 ]
59
[ "99-93=6", "5*6=30", "89-30=59" ]
Current State: 59:[5, 99, 93, 89], Operations: [] Exploring Operation: 99-93=6, Resulting Numbers: [5, 89, 6] Generated Node #2: [5, 89, 6] from Operation: 99-93=6 Current State: 59:[5, 89, 6], Operations: ['99-93=6'] Exploring Operation: 5*6=30, Resulting Numbers: [89, 30] Generated Node #3: [89, 30] from Operation: 5*6=30 Current State: 59:[89, 30], Operations: ['99-93=6', '5*6=30'] Exploring Operation: 89-30=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 97, 49, 11, 98 ]
84
[ "97-11=86", "98/49=2", "86-2=84" ]
Current State: 84:[97, 49, 11, 98], Operations: [] Exploring Operation: 97-11=86, Resulting Numbers: [49, 98, 86] Generated Node #2: [49, 98, 86] from Operation: 97-11=86 Current State: 84:[49, 98, 86], Operations: ['97-11=86'] Exploring Operation: 98/49=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 98/49=2 Current State: 84:[86, 2], Operations: ['97-11=86', '98/49=2'] Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 51, 26, 49, 8 ]
32
[ "51-26=25", "49+8=57", "57-25=32" ]
Current State: 32:[51, 26, 49, 8], Operations: [] Exploring Operation: 51-26=25, Resulting Numbers: [49, 8, 25] Generated Node #2: [49, 8, 25] from Operation: 51-26=25 Current State: 32:[49, 8, 25], Operations: ['51-26=25'] Exploring Operation: 49+8=57, Resulting Numbers: [25, 57] Generated Node #3: [25, 57] from Operation: 49+8=57 Current State: 32:[25, 57], Operations: ['51-26=25', '49+8=57'] Exploring Operation: 57-25=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 64, 15, 97, 97 ]
49
[ "64-15=49", "97-97=0", "49+0=49" ]
Current State: 49:[64, 15, 97, 97], Operations: [] Exploring Operation: 64-15=49, Resulting Numbers: [97, 97, 49] Generated Node #2: [97, 97, 49] from Operation: 64-15=49 Current State: 49:[97, 97, 49], Operations: ['64-15=49'] Exploring Operation: 97-97=0, Resulting Numbers: [49, 0] Generated Node #3: [49, 0] from Operation: 97-97=0 Current State: 49:[49, 0], Operations: ['64-15=49', '97-97=0'] Exploring Operation: 49+0=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 2, 85, 75, 88 ]
96
[ "85-2=83", "88-75=13", "83+13=96" ]
Current State: 96:[2, 85, 75, 88], Operations: [] Exploring Operation: 85-2=83, Resulting Numbers: [75, 88, 83] Generated Node #2: [75, 88, 83] from Operation: 85-2=83 Current State: 96:[75, 88, 83], Operations: ['85-2=83'] Exploring Operation: 88-75=13, Resulting Numbers: [83, 13] Generated Node #3: [83, 13] from Operation: 88-75=13 Current State: 96:[83, 13], Operations: ['85-2=83', '88-75=13'] Exploring Operation: 83+13=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 84, 47, 68, 85 ]
54
[ "84-47=37", "85-68=17", "37+17=54" ]
Current State: 54:[84, 47, 68, 85], Operations: [] Exploring Operation: 84-47=37, Resulting Numbers: [68, 85, 37] Generated Node #2: [68, 85, 37] from Operation: 84-47=37 Current State: 54:[68, 85, 37], Operations: ['84-47=37'] Exploring Operation: 85-68=17, Resulting Numbers: [37, 17] Generated Node #3: [37, 17] from Operation: 85-68=17 Current State: 54:[37, 17], Operations: ['84-47=37', '85-68=17'] Exploring Operation: 37+17=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 73, 30, 43, 14 ]
73
[ "43-30=13", "14-13=1", "73*1=73" ]
Current State: 73:[73, 30, 43, 14], Operations: [] Exploring Operation: 43-30=13, Resulting Numbers: [73, 14, 13] Generated Node #2: [73, 14, 13] from Operation: 43-30=13 Current State: 73:[73, 14, 13], Operations: ['43-30=13'] Exploring Operation: 14-13=1, Resulting Numbers: [73, 1] Generated Node #3: [73, 1] from Operation: 14-13=1 Current State: 73:[73, 1], Operations: ['43-30=13', '14-13=1'] Exploring Operation: 73*1=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 7, 96, 49, 27 ]
81
[ "7+96=103", "49-27=22", "103-22=81" ]
Current State: 81:[7, 96, 49, 27], Operations: [] Exploring Operation: 7+96=103, Resulting Numbers: [49, 27, 103] Generated Node #2: [49, 27, 103] from Operation: 7+96=103 Current State: 81:[49, 27, 103], Operations: ['7+96=103'] Exploring Operation: 49-27=22, Resulting Numbers: [103, 22] Generated Node #3: [103, 22] from Operation: 49-27=22 Current State: 81:[103, 22], Operations: ['7+96=103', '49-27=22'] Exploring Operation: 103-22=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 24, 49, 79, 2 ]
78
[ "24*2=48", "79-49=30", "48+30=78" ]
Current State: 78:[24, 49, 79, 2], Operations: [] Exploring Operation: 24*2=48, Resulting Numbers: [49, 79, 48] Generated Node #2: [49, 79, 48] from Operation: 24*2=48 Current State: 78:[49, 79, 48], Operations: ['24*2=48'] Exploring Operation: 79-49=30, Resulting Numbers: [48, 30] Generated Node #3: [48, 30] from Operation: 79-49=30 Current State: 78:[48, 30], Operations: ['24*2=48', '79-49=30'] Exploring Operation: 48+30=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 17, 1, 36, 51 ]
12
[ "17*1=17", "36*17=612", "612/51=12" ]
Current State: 12:[17, 1, 36, 51], Operations: [] Exploring Operation: 17*1=17, Resulting Numbers: [36, 51, 17] Generated Node #2: [36, 51, 17] from Operation: 17*1=17 Current State: 12:[36, 51, 17], Operations: ['17*1=17'] Exploring Operation: 36*17=612, Resulting Numbers: [51, 612] Generated Node #3: [51, 612] from Operation: 36*17=612 Current State: 12:[51, 612], Operations: ['17*1=17', '36*17=612'] Exploring Operation: 612/51=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 92, 57, 23, 12 ]
95
[ "57+12=69", "69/23=3", "92+3=95" ]
Current State: 95:[92, 57, 23, 12], Operations: [] Exploring Operation: 57+12=69, Resulting Numbers: [92, 23, 69] Generated Node #2: [92, 23, 69] from Operation: 57+12=69 Current State: 95:[92, 23, 69], Operations: ['57+12=69'] Exploring Operation: 69/23=3, Resulting Numbers: [92, 3] Generated Node #3: [92, 3] from Operation: 69/23=3 Current State: 95:[92, 3], Operations: ['57+12=69', '69/23=3'] Exploring Operation: 92+3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 12, 21, 3, 55 ]
70
[ "12*3=36", "55-21=34", "36+34=70" ]
Current State: 70:[12, 21, 3, 55], Operations: [] Exploring Operation: 12*3=36, Resulting Numbers: [21, 55, 36] Generated Node #2: [21, 55, 36] from Operation: 12*3=36 Current State: 70:[21, 55, 36], Operations: ['12*3=36'] Exploring Operation: 55-21=34, Resulting Numbers: [36, 34] Generated Node #3: [36, 34] from Operation: 55-21=34 Current State: 70:[36, 34], Operations: ['12*3=36', '55-21=34'] Exploring Operation: 36+34=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 39, 11, 72, 65 ]
38
[ "72-65=7", "11*7=77", "77-39=38" ]
Current State: 38:[39, 11, 72, 65], Operations: [] Exploring Operation: 72-65=7, Resulting Numbers: [39, 11, 7] Generated Node #2: [39, 11, 7] from Operation: 72-65=7 Current State: 38:[39, 11, 7], Operations: ['72-65=7'] Exploring Operation: 11*7=77, Resulting Numbers: [39, 77] Generated Node #3: [39, 77] from Operation: 11*7=77 Current State: 38:[39, 77], Operations: ['72-65=7', '11*7=77'] Exploring Operation: 77-39=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 15, 9, 9, 41 ]
95
[ "15-9=6", "9*6=54", "41+54=95" ]
Current State: 95:[15, 9, 9, 41], Operations: [] Exploring Operation: 15-9=6, Resulting Numbers: [41, 6] Generated Node #2: [41, 6] from Operation: 15-9=6 Current State: 95:[41, 6], Operations: ['15-9=6'] Exploring Operation: 9*6=54, Resulting Numbers: [41, 54] Generated Node #3: [41, 54] from Operation: 9*6=54 Current State: 95:[41, 54], Operations: ['15-9=6', '9*6=54'] Exploring Operation: 41+54=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 89, 3, 94, 13 ]
74
[ "89+94=183", "183/3=61", "13+61=74" ]
Current State: 74:[89, 3, 94, 13], Operations: [] Exploring Operation: 89+94=183, Resulting Numbers: [3, 13, 183] Generated Node #2: [3, 13, 183] from Operation: 89+94=183 Current State: 74:[3, 13, 183], Operations: ['89+94=183'] Exploring Operation: 183/3=61, Resulting Numbers: [13, 61] Generated Node #3: [13, 61] from Operation: 183/3=61 Current State: 74:[13, 61], Operations: ['89+94=183', '183/3=61'] Exploring Operation: 13+61=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 40, 78, 54, 99 ]
30
[ "40*99=3960", "78+54=132", "3960/132=30" ]
Current State: 30:[40, 78, 54, 99], Operations: [] Exploring Operation: 40*99=3960, Resulting Numbers: [78, 54, 3960] Generated Node #2: [78, 54, 3960] from Operation: 40*99=3960 Current State: 30:[78, 54, 3960], Operations: ['40*99=3960'] Exploring Operation: 78+54=132, Resulting Numbers: [3960, 132] Generated Node #3: [3960, 132] from Operation: 78+54=132 Current State: 30:[3960, 132], Operations: ['40*99=3960', '78+54=132'] Exploring Operation: 3960/132=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 3, 89, 34, 56 ]
43
[ "3*34=102", "89+56=145", "145-102=43" ]
Current State: 43:[3, 89, 34, 56], Operations: [] Exploring Operation: 3*34=102, Resulting Numbers: [89, 56, 102] Generated Node #2: [89, 56, 102] from Operation: 3*34=102 Current State: 43:[89, 56, 102], Operations: ['3*34=102'] Exploring Operation: 89+56=145, Resulting Numbers: [102, 145] Generated Node #3: [102, 145] from Operation: 89+56=145 Current State: 43:[102, 145], Operations: ['3*34=102', '89+56=145'] Exploring Operation: 145-102=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 16, 25, 65, 19 ]
43
[ "16+25=41", "65+19=84", "84-41=43" ]
Current State: 43:[16, 25, 65, 19], Operations: [] Exploring Operation: 16+25=41, Resulting Numbers: [65, 19, 41] Generated Node #2: [65, 19, 41] from Operation: 16+25=41 Current State: 43:[65, 19, 41], Operations: ['16+25=41'] Exploring Operation: 65+19=84, Resulting Numbers: [41, 84] Generated Node #3: [41, 84] from Operation: 65+19=84 Current State: 43:[41, 84], Operations: ['16+25=41', '65+19=84'] Exploring Operation: 84-41=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 82, 19, 47, 2 ]
79
[ "82-19=63", "2*63=126", "126-47=79" ]
Current State: 79:[82, 19, 47, 2], Operations: [] Exploring Operation: 82-19=63, Resulting Numbers: [47, 2, 63] Generated Node #2: [47, 2, 63] from Operation: 82-19=63 Current State: 79:[47, 2, 63], Operations: ['82-19=63'] Exploring Operation: 2*63=126, Resulting Numbers: [47, 126] Generated Node #3: [47, 126] from Operation: 2*63=126 Current State: 79:[47, 126], Operations: ['82-19=63', '2*63=126'] Exploring Operation: 126-47=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 94, 71, 10, 60 ]
29
[ "94-71=23", "60/10=6", "23+6=29" ]
Current State: 29:[94, 71, 10, 60], Operations: [] Exploring Operation: 94-71=23, Resulting Numbers: [10, 60, 23] Generated Node #2: [10, 60, 23] from Operation: 94-71=23 Current State: 29:[10, 60, 23], Operations: ['94-71=23'] Exploring Operation: 60/10=6, Resulting Numbers: [23, 6] Generated Node #3: [23, 6] from Operation: 60/10=6 Current State: 29:[23, 6], Operations: ['94-71=23', '60/10=6'] Exploring Operation: 23+6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 75, 15, 84, 60 ]
36
[ "75-15=60", "84-60=24", "60-24=36" ]
Current State: 36:[75, 15, 84, 60], Operations: [] Exploring Operation: 75-15=60, Resulting Numbers: [84, 60, 60] Generated Node #2: [84, 60, 60] from Operation: 75-15=60 Current State: 36:[84, 60, 60], Operations: ['75-15=60'] Exploring Operation: 84-60=24, Resulting Numbers: [24] 24,36 equal: Goal Reached Exploring Operation: 60-24=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 64, 95, 48, 32 ]
93
[ "64-48=16", "32/16=2", "95-2=93" ]
Current State: 93:[64, 95, 48, 32], Operations: [] Exploring Operation: 64-48=16, Resulting Numbers: [95, 32, 16] Generated Node #2: [95, 32, 16] from Operation: 64-48=16 Current State: 93:[95, 32, 16], Operations: ['64-48=16'] Exploring Operation: 32/16=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 32/16=2 Current State: 93:[95, 2], Operations: ['64-48=16', '32/16=2'] Exploring Operation: 95-2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 67, 56, 93, 57 ]
42
[ "67+57=124", "56*93=5208", "5208/124=42" ]
Current State: 42:[67, 56, 93, 57], Operations: [] Exploring Operation: 67+57=124, Resulting Numbers: [56, 93, 124] Generated Node #2: [56, 93, 124] from Operation: 67+57=124 Current State: 42:[56, 93, 124], Operations: ['67+57=124'] Exploring Operation: 56*93=5208, Resulting Numbers: [124, 5208] Generated Node #3: [124, 5208] from Operation: 56*93=5208 Current State: 42:[124, 5208], Operations: ['67+57=124', '56*93=5208'] Exploring Operation: 5208/124=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 87, 37, 39, 56 ]
62
[ "87-56=31", "39-37=2", "31*2=62" ]
Current State: 62:[87, 37, 39, 56], Operations: [] Exploring Operation: 87-56=31, Resulting Numbers: [37, 39, 31] Generated Node #2: [37, 39, 31] from Operation: 87-56=31 Current State: 62:[37, 39, 31], Operations: ['87-56=31'] Exploring Operation: 39-37=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 39-37=2 Current State: 62:[31, 2], Operations: ['87-56=31', '39-37=2'] Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 1, 96, 9, 16 ]
89
[ "1*96=96", "16-9=7", "96-7=89" ]
Current State: 89:[1, 96, 9, 16], Operations: [] Exploring Operation: 1*96=96, Resulting Numbers: [9, 16, 96] Generated Node #2: [9, 16, 96] from Operation: 1*96=96 Current State: 89:[9, 16, 96], Operations: ['1*96=96'] Exploring Operation: 16-9=7, Resulting Numbers: [96, 7] Generated Node #3: [96, 7] from Operation: 16-9=7 Current State: 89:[96, 7], Operations: ['1*96=96', '16-9=7'] Exploring Operation: 96-7=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 31, 36, 77, 65 ]
93
[ "31*36=1116", "77-65=12", "1116/12=93" ]
Current State: 93:[31, 36, 77, 65], Operations: [] Exploring Operation: 31*36=1116, Resulting Numbers: [77, 65, 1116] Generated Node #2: [77, 65, 1116] from Operation: 31*36=1116 Current State: 93:[77, 65, 1116], Operations: ['31*36=1116'] Exploring Operation: 77-65=12, Resulting Numbers: [1116, 12] Generated Node #3: [1116, 12] from Operation: 77-65=12 Current State: 93:[1116, 12], Operations: ['31*36=1116', '77-65=12'] Exploring Operation: 1116/12=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 37, 77, 9, 62 ]
93
[ "77-37=40", "62-9=53", "40+53=93" ]
Current State: 93:[37, 77, 9, 62], Operations: [] Exploring Operation: 77-37=40, Resulting Numbers: [9, 62, 40] Generated Node #2: [9, 62, 40] from Operation: 77-37=40 Current State: 93:[9, 62, 40], Operations: ['77-37=40'] Exploring Operation: 62-9=53, Resulting Numbers: [40, 53] Generated Node #3: [40, 53] from Operation: 62-9=53 Current State: 93:[40, 53], Operations: ['77-37=40', '62-9=53'] Exploring Operation: 40+53=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 51, 6, 24, 78 ]
68
[ "24+78=102", "102/6=17", "51+17=68" ]
Current State: 68:[51, 6, 24, 78], Operations: [] Exploring Operation: 24+78=102, Resulting Numbers: [51, 6, 102] Generated Node #2: [51, 6, 102] from Operation: 24+78=102 Current State: 68:[51, 6, 102], Operations: ['24+78=102'] Exploring Operation: 102/6=17, Resulting Numbers: [51, 17] Generated Node #3: [51, 17] from Operation: 102/6=17 Current State: 68:[51, 17], Operations: ['24+78=102', '102/6=17'] Exploring Operation: 51+17=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 11, 14, 78, 73 ]
72
[ "11+73=84", "84/14=6", "78-6=72" ]
Current State: 72:[11, 14, 78, 73], Operations: [] Exploring Operation: 11+73=84, Resulting Numbers: [14, 78, 84] Generated Node #2: [14, 78, 84] from Operation: 11+73=84 Current State: 72:[14, 78, 84], Operations: ['11+73=84'] Exploring Operation: 84/14=6, Resulting Numbers: [78, 6] Generated Node #3: [78, 6] from Operation: 84/14=6 Current State: 72:[78, 6], Operations: ['11+73=84', '84/14=6'] Exploring Operation: 78-6=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 7, 10, 1, 86 ]
88
[ "10-7=3", "86-1=85", "3+85=88" ]
Current State: 88:[7, 10, 1, 86], Operations: [] Exploring Operation: 10-7=3, Resulting Numbers: [1, 86, 3] Generated Node #2: [1, 86, 3] from Operation: 10-7=3 Current State: 88:[1, 86, 3], Operations: ['10-7=3'] Exploring Operation: 86-1=85, Resulting Numbers: [3, 85] Generated Node #3: [3, 85] from Operation: 86-1=85 Current State: 88:[3, 85], Operations: ['10-7=3', '86-1=85'] Exploring Operation: 3+85=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 71, 35, 89, 6 ]
32
[ "89-71=18", "18/6=3", "35-3=32" ]
Current State: 32:[71, 35, 89, 6], Operations: [] Exploring Operation: 89-71=18, Resulting Numbers: [35, 6, 18] Generated Node #2: [35, 6, 18] from Operation: 89-71=18 Current State: 32:[35, 6, 18], Operations: ['89-71=18'] Exploring Operation: 18/6=3, Resulting Numbers: [35, 3] Generated Node #3: [35, 3] from Operation: 18/6=3 Current State: 32:[35, 3], Operations: ['89-71=18', '18/6=3'] Exploring Operation: 35-3=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 67, 57, 98, 79 ]
53
[ "67+57=124", "98+79=177", "177-124=53" ]
Current State: 53:[67, 57, 98, 79], Operations: [] Exploring Operation: 67+57=124, Resulting Numbers: [98, 79, 124] Generated Node #2: [98, 79, 124] from Operation: 67+57=124 Current State: 53:[98, 79, 124], Operations: ['67+57=124'] Exploring Operation: 98+79=177, Resulting Numbers: [124, 177] Generated Node #3: [124, 177] from Operation: 98+79=177 Current State: 53:[124, 177], Operations: ['67+57=124', '98+79=177'] Exploring Operation: 177-124=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 16, 17, 11, 39 ]
57
[ "17-11=6", "16*6=96", "96-39=57" ]
Current State: 57:[16, 17, 11, 39], Operations: [] Exploring Operation: 17-11=6, Resulting Numbers: [16, 39, 6] Generated Node #2: [16, 39, 6] from Operation: 17-11=6 Current State: 57:[16, 39, 6], Operations: ['17-11=6'] Exploring Operation: 16*6=96, Resulting Numbers: [39, 96] Generated Node #3: [39, 96] from Operation: 16*6=96 Current State: 57:[39, 96], Operations: ['17-11=6', '16*6=96'] Exploring Operation: 96-39=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 80, 49, 2, 18 ]
45
[ "2+18=20", "80/20=4", "49-4=45" ]
Current State: 45:[80, 49, 2, 18], Operations: [] Exploring Operation: 2+18=20, Resulting Numbers: [80, 49, 20] Generated Node #2: [80, 49, 20] from Operation: 2+18=20 Current State: 45:[80, 49, 20], Operations: ['2+18=20'] Exploring Operation: 80/20=4, Resulting Numbers: [49, 4] Generated Node #3: [49, 4] from Operation: 80/20=4 Current State: 45:[49, 4], Operations: ['2+18=20', '80/20=4'] Exploring Operation: 49-4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 4, 40, 53, 42 ]
98
[ "53-4=49", "42-40=2", "49*2=98" ]
Current State: 98:[4, 40, 53, 42], Operations: [] Exploring Operation: 53-4=49, Resulting Numbers: [40, 42, 49] Generated Node #2: [40, 42, 49] from Operation: 53-4=49 Current State: 98:[40, 42, 49], Operations: ['53-4=49'] Exploring Operation: 42-40=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 42-40=2 Current State: 98:[49, 2], Operations: ['53-4=49', '42-40=2'] Exploring Operation: 49*2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 41, 11, 77, 68 ]
39
[ "41-11=30", "77-68=9", "30+9=39" ]
Current State: 39:[41, 11, 77, 68], Operations: [] Exploring Operation: 41-11=30, Resulting Numbers: [77, 68, 30] Generated Node #2: [77, 68, 30] from Operation: 41-11=30 Current State: 39:[77, 68, 30], Operations: ['41-11=30'] Exploring Operation: 77-68=9, Resulting Numbers: [30, 9] Generated Node #3: [30, 9] from Operation: 77-68=9 Current State: 39:[30, 9], Operations: ['41-11=30', '77-68=9'] Exploring Operation: 30+9=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 22, 84, 15, 67 ]
20
[ "84-22=62", "15+67=82", "82-62=20" ]
Current State: 20:[22, 84, 15, 67], Operations: [] Exploring Operation: 84-22=62, Resulting Numbers: [15, 67, 62] Generated Node #2: [15, 67, 62] from Operation: 84-22=62 Current State: 20:[15, 67, 62], Operations: ['84-22=62'] Exploring Operation: 15+67=82, Resulting Numbers: [62, 82] Generated Node #3: [62, 82] from Operation: 15+67=82 Current State: 20:[62, 82], Operations: ['84-22=62', '15+67=82'] Exploring Operation: 82-62=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 38, 84, 35, 8 ]
95
[ "38+84=122", "35-8=27", "122-27=95" ]
Current State: 95:[38, 84, 35, 8], Operations: [] Exploring Operation: 38+84=122, Resulting Numbers: [35, 8, 122] Generated Node #2: [35, 8, 122] from Operation: 38+84=122 Current State: 95:[35, 8, 122], Operations: ['38+84=122'] Exploring Operation: 35-8=27, Resulting Numbers: [122, 27] Generated Node #3: [122, 27] from Operation: 35-8=27 Current State: 95:[122, 27], Operations: ['38+84=122', '35-8=27'] Exploring Operation: 122-27=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 50, 87, 31, 49 ]
57
[ "50+87=137", "31+49=80", "137-80=57" ]
Current State: 57:[50, 87, 31, 49], Operations: [] Exploring Operation: 50+87=137, Resulting Numbers: [31, 49, 137] Generated Node #2: [31, 49, 137] from Operation: 50+87=137 Current State: 57:[31, 49, 137], Operations: ['50+87=137'] Exploring Operation: 31+49=80, Resulting Numbers: [137, 80] Generated Node #3: [137, 80] from Operation: 31+49=80 Current State: 57:[137, 80], Operations: ['50+87=137', '31+49=80'] Exploring Operation: 137-80=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 49, 49, 99, 18 ]
17
[ "49+49=98", "99-18=81", "98-81=17" ]
Current State: 17:[49, 49, 99, 18], Operations: [] Exploring Operation: 49+49=98, Resulting Numbers: [99, 18, 98] Generated Node #2: [99, 18, 98] from Operation: 49+49=98 Current State: 17:[99, 18, 98], Operations: ['49+49=98'] Exploring Operation: 99-18=81, Resulting Numbers: [98, 81] Generated Node #3: [98, 81] from Operation: 99-18=81 Current State: 17:[98, 81], Operations: ['49+49=98', '99-18=81'] Exploring Operation: 98-81=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 24, 31, 42, 58 ]
93
[ "31-24=7", "42+58=100", "100-7=93" ]
Current State: 93:[24, 31, 42, 58], Operations: [] Exploring Operation: 31-24=7, Resulting Numbers: [42, 58, 7] Generated Node #2: [42, 58, 7] from Operation: 31-24=7 Current State: 93:[42, 58, 7], Operations: ['31-24=7'] Exploring Operation: 42+58=100, Resulting Numbers: [7, 100] Generated Node #3: [7, 100] from Operation: 42+58=100 Current State: 93:[7, 100], Operations: ['31-24=7', '42+58=100'] Exploring Operation: 100-7=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 14, 23, 95, 7 ]
74
[ "14/7=2", "95-23=72", "2+72=74" ]
Current State: 74:[14, 23, 95, 7], Operations: [] Exploring Operation: 14/7=2, Resulting Numbers: [23, 95, 2] Generated Node #2: [23, 95, 2] from Operation: 14/7=2 Current State: 74:[23, 95, 2], Operations: ['14/7=2'] Exploring Operation: 95-23=72, Resulting Numbers: [2, 72] Generated Node #3: [2, 72] from Operation: 95-23=72 Current State: 74:[2, 72], Operations: ['14/7=2', '95-23=72'] Exploring Operation: 2+72=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 19, 23, 81, 76 ]
20
[ "23-19=4", "81-76=5", "4*5=20" ]
Current State: 20:[19, 23, 81, 76], Operations: [] Exploring Operation: 23-19=4, Resulting Numbers: [81, 76, 4] Generated Node #2: [81, 76, 4] from Operation: 23-19=4 Current State: 20:[81, 76, 4], Operations: ['23-19=4'] Exploring Operation: 81-76=5, Resulting Numbers: [4, 5] Generated Node #3: [4, 5] from Operation: 81-76=5 Current State: 20:[4, 5], Operations: ['23-19=4', '81-76=5'] Exploring Operation: 4*5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 7, 61, 69, 89 ]
89
[ "7+61=68", "69-68=1", "89*1=89" ]
Current State: 89:[7, 61, 69, 89], Operations: [] Exploring Operation: 7+61=68, Resulting Numbers: [69, 89, 68] Generated Node #2: [69, 89, 68] from Operation: 7+61=68 Current State: 89:[69, 89, 68], Operations: ['7+61=68'] Exploring Operation: 69-68=1, Resulting Numbers: [89, 1] Generated Node #3: [89, 1] from Operation: 69-68=1 Current State: 89:[89, 1], Operations: ['7+61=68', '69-68=1'] Exploring Operation: 89*1=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 18, 63, 23, 5 ]
26
[ "63-23=40", "40/5=8", "18+8=26" ]
Current State: 26:[18, 63, 23, 5], Operations: [] Exploring Operation: 63-23=40, Resulting Numbers: [18, 5, 40] Generated Node #2: [18, 5, 40] from Operation: 63-23=40 Current State: 26:[18, 5, 40], Operations: ['63-23=40'] Exploring Operation: 40/5=8, Resulting Numbers: [18, 8] Generated Node #3: [18, 8] from Operation: 40/5=8 Current State: 26:[18, 8], Operations: ['63-23=40', '40/5=8'] Exploring Operation: 18+8=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 30, 22, 3, 26 ]
94
[ "30*3=90", "26-22=4", "90+4=94" ]
Current State: 94:[30, 22, 3, 26], Operations: [] Exploring Operation: 30*3=90, Resulting Numbers: [22, 26, 90] Generated Node #2: [22, 26, 90] from Operation: 30*3=90 Current State: 94:[22, 26, 90], Operations: ['30*3=90'] Exploring Operation: 26-22=4, Resulting Numbers: [90, 4] Generated Node #3: [90, 4] from Operation: 26-22=4 Current State: 94:[90, 4], Operations: ['30*3=90', '26-22=4'] Exploring Operation: 90+4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 69, 63, 7, 55 ]
97
[ "69-63=6", "7*6=42", "55+42=97" ]
Current State: 97:[69, 63, 7, 55], Operations: [] Exploring Operation: 69-63=6, Resulting Numbers: [7, 55, 6] Generated Node #2: [7, 55, 6] from Operation: 69-63=6 Current State: 97:[7, 55, 6], Operations: ['69-63=6'] Exploring Operation: 7*6=42, Resulting Numbers: [55, 42] Generated Node #3: [55, 42] from Operation: 7*6=42 Current State: 97:[55, 42], Operations: ['69-63=6', '7*6=42'] Exploring Operation: 55+42=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 69, 56, 5, 1 ]
17
[ "69-56=13", "5-1=4", "13+4=17" ]
Current State: 17:[69, 56, 5, 1], Operations: [] Exploring Operation: 69-56=13, Resulting Numbers: [5, 1, 13] Generated Node #2: [5, 1, 13] from Operation: 69-56=13 Current State: 17:[5, 1, 13], Operations: ['69-56=13'] Exploring Operation: 5-1=4, Resulting Numbers: [13, 4] Generated Node #3: [13, 4] from Operation: 5-1=4 Current State: 17:[13, 4], Operations: ['69-56=13', '5-1=4'] Exploring Operation: 13+4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 36, 18, 74, 68 ]
62
[ "36/18=2", "68*2=136", "136-74=62" ]
Current State: 62:[36, 18, 74, 68], Operations: [] Exploring Operation: 36/18=2, Resulting Numbers: [74, 68, 2] Generated Node #2: [74, 68, 2] from Operation: 36/18=2 Current State: 62:[74, 68, 2], Operations: ['36/18=2'] Exploring Operation: 68*2=136, Resulting Numbers: [74, 136] Generated Node #3: [74, 136] from Operation: 68*2=136 Current State: 62:[74, 136], Operations: ['36/18=2', '68*2=136'] Exploring Operation: 136-74=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 7, 21, 13, 82 ]
66
[ "21/7=3", "82-13=69", "69-3=66" ]
Current State: 66:[7, 21, 13, 82], Operations: [] Exploring Operation: 21/7=3, Resulting Numbers: [13, 82, 3] Generated Node #2: [13, 82, 3] from Operation: 21/7=3 Current State: 66:[13, 82, 3], Operations: ['21/7=3'] Exploring Operation: 82-13=69, Resulting Numbers: [3, 69] Generated Node #3: [3, 69] from Operation: 82-13=69 Current State: 66:[3, 69], Operations: ['21/7=3', '82-13=69'] Exploring Operation: 69-3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 65, 29, 98, 54 ]
80
[ "65-29=36", "98-54=44", "36+44=80" ]
Current State: 80:[65, 29, 98, 54], Operations: [] Exploring Operation: 65-29=36, Resulting Numbers: [98, 54, 36] Generated Node #2: [98, 54, 36] from Operation: 65-29=36 Current State: 80:[98, 54, 36], Operations: ['65-29=36'] Exploring Operation: 98-54=44, Resulting Numbers: [36, 44] Generated Node #3: [36, 44] from Operation: 98-54=44 Current State: 80:[36, 44], Operations: ['65-29=36', '98-54=44'] Exploring Operation: 36+44=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 36, 92, 51, 56 ]
51
[ "92-36=56", "51+56=107", "107-56=51" ]
Current State: 51:[36, 92, 51, 56], Operations: [] Exploring Operation: 92-36=56, Resulting Numbers: [51, 56, 56] Generated Node #2: [51, 56, 56] from Operation: 92-36=56 Current State: 51:[51, 56, 56], Operations: ['92-36=56'] Exploring Operation: 51+56=107, Resulting Numbers: [107] 107,51 equal: Goal Reached Exploring Operation: 107-56=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 20, 75, 27, 86 ]
77
[ "27-20=7", "86-75=11", "7*11=77" ]
Current State: 77:[20, 75, 27, 86], Operations: [] Exploring Operation: 27-20=7, Resulting Numbers: [75, 86, 7] Generated Node #2: [75, 86, 7] from Operation: 27-20=7 Current State: 77:[75, 86, 7], Operations: ['27-20=7'] Exploring Operation: 86-75=11, Resulting Numbers: [7, 11] Generated Node #3: [7, 11] from Operation: 86-75=11 Current State: 77:[7, 11], Operations: ['27-20=7', '86-75=11'] Exploring Operation: 7*11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 21, 21, 99, 44 ]
54
[ "21/21=1", "99-44=55", "55-1=54" ]
Current State: 54:[21, 21, 99, 44], Operations: [] Exploring Operation: 21/21=1, Resulting Numbers: [99, 44, 1] Generated Node #2: [99, 44, 1] from Operation: 21/21=1 Current State: 54:[99, 44, 1], Operations: ['21/21=1'] Exploring Operation: 99-44=55, Resulting Numbers: [1, 55] Generated Node #3: [1, 55] from Operation: 99-44=55 Current State: 54:[1, 55], Operations: ['21/21=1', '99-44=55'] Exploring Operation: 55-1=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 42, 29, 15, 35 ]
33
[ "42-29=13", "35-15=20", "13+20=33" ]
Current State: 33:[42, 29, 15, 35], Operations: [] Exploring Operation: 42-29=13, Resulting Numbers: [15, 35, 13] Generated Node #2: [15, 35, 13] from Operation: 42-29=13 Current State: 33:[15, 35, 13], Operations: ['42-29=13'] Exploring Operation: 35-15=20, Resulting Numbers: [13, 20] Generated Node #3: [13, 20] from Operation: 35-15=20 Current State: 33:[13, 20], Operations: ['42-29=13', '35-15=20'] Exploring Operation: 13+20=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 45, 16, 32, 65 ]
40
[ "65-45=20", "32/16=2", "20*2=40" ]
Current State: 40:[45, 16, 32, 65], Operations: [] Exploring Operation: 65-45=20, Resulting Numbers: [16, 32, 20] Generated Node #2: [16, 32, 20] from Operation: 65-45=20 Current State: 40:[16, 32, 20], Operations: ['65-45=20'] Exploring Operation: 32/16=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 32/16=2 Current State: 40:[20, 2], Operations: ['65-45=20', '32/16=2'] Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 68, 61, 83, 90 ]
94
[ "68*83=5644", "90+5644=5734", "5734/61=94" ]
Current State: 94:[68, 61, 83, 90], Operations: [] Exploring Operation: 68*83=5644, Resulting Numbers: [61, 90, 5644] Generated Node #2: [61, 90, 5644] from Operation: 68*83=5644 Current State: 94:[61, 90, 5644], Operations: ['68*83=5644'] Exploring Operation: 90+5644=5734, Resulting Numbers: [61, 5734] Generated Node #3: [61, 5734] from Operation: 90+5644=5734 Current State: 94:[61, 5734], Operations: ['68*83=5644', '90+5644=5734'] Exploring Operation: 5734/61=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 68, 17, 51, 86 ]
16
[ "68-17=51", "86-51=35", "51-35=16" ]
Current State: 16:[68, 17, 51, 86], Operations: [] Exploring Operation: 68-17=51, Resulting Numbers: [51, 86, 51] Generated Node #2: [51, 86, 51] from Operation: 68-17=51 Current State: 16:[51, 86, 51], Operations: ['68-17=51'] Exploring Operation: 86-51=35, Resulting Numbers: [35] 35,16 equal: Goal Reached Exploring Operation: 51-35=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 15, 75, 45, 82 ]
73
[ "75/15=5", "45/5=9", "82-9=73" ]
Current State: 73:[15, 75, 45, 82], Operations: [] Exploring Operation: 75/15=5, Resulting Numbers: [45, 82, 5] Generated Node #2: [45, 82, 5] from Operation: 75/15=5 Current State: 73:[45, 82, 5], Operations: ['75/15=5'] Exploring Operation: 45/5=9, Resulting Numbers: [82, 9] Generated Node #3: [82, 9] from Operation: 45/5=9 Current State: 73:[82, 9], Operations: ['75/15=5', '45/5=9'] Exploring Operation: 82-9=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4