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
[ 87, 75, 44, 51 ]
84
[ "87-75=12", "51-44=7", "12*7=84" ]
Current State: 84:[87, 75, 44, 51], Operations: [] Exploring Operation: 87-75=12, Resulting Numbers: [44, 51, 12] Generated Node #2: [44, 51, 12] from Operation: 87-75=12 Current State: 84:[44, 51, 12], Operations: ['87-75=12'] Exploring Operation: 51-44=7, Resulting Numbers: [12, 7] Generated Node #3: [12, 7] from Operation: 51-44=7 Current State: 84:[12, 7], Operations: ['87-75=12', '51-44=7'] Exploring Operation: 12*7=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 62, 39, 59, 76 ]
89
[ "62-59=3", "39/3=13", "76+13=89" ]
Current State: 89:[62, 39, 59, 76], Operations: [] Exploring Operation: 62-59=3, Resulting Numbers: [39, 76, 3] Generated Node #2: [39, 76, 3] from Operation: 62-59=3 Current State: 89:[39, 76, 3], Operations: ['62-59=3'] Exploring Operation: 39/3=13, Resulting Numbers: [76, 13] Generated Node #3: [76, 13] from Operation: 39/3=13 Current State: 89:[76, 13], Operations: ['62-59=3', '39/3=13'] Exploring Operation: 76+13=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 62, 78, 88, 2 ]
96
[ "62+78=140", "88/2=44", "140-44=96" ]
Current State: 96:[62, 78, 88, 2], Operations: [] Exploring Operation: 62+78=140, Resulting Numbers: [88, 2, 140] Generated Node #2: [88, 2, 140] from Operation: 62+78=140 Current State: 96:[88, 2, 140], Operations: ['62+78=140'] Exploring Operation: 88/2=44, Resulting Numbers: [140, 44] Generated Node #3: [140, 44] from Operation: 88/2=44 Current State: 96:[140, 44], Operations: ['62+78=140', '88/2=44'] Exploring Operation: 140-44=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 3, 77, 47, 20 ]
13
[ "3+77=80", "47+20=67", "80-67=13" ]
Current State: 13:[3, 77, 47, 20], Operations: [] Exploring Operation: 3+77=80, Resulting Numbers: [47, 20, 80] Generated Node #2: [47, 20, 80] from Operation: 3+77=80 Current State: 13:[47, 20, 80], Operations: ['3+77=80'] Exploring Operation: 47+20=67, Resulting Numbers: [80, 67] Generated Node #3: [80, 67] from Operation: 47+20=67 Current State: 13:[80, 67], Operations: ['3+77=80', '47+20=67'] Exploring Operation: 80-67=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 9, 38, 15, 42 ]
56
[ "38-9=29", "42-15=27", "29+27=56" ]
Current State: 56:[9, 38, 15, 42], Operations: [] Exploring Operation: 38-9=29, Resulting Numbers: [15, 42, 29] Generated Node #2: [15, 42, 29] from Operation: 38-9=29 Current State: 56:[15, 42, 29], Operations: ['38-9=29'] Exploring Operation: 42-15=27, Resulting Numbers: [29, 27] Generated Node #3: [29, 27] from Operation: 42-15=27 Current State: 56:[29, 27], Operations: ['38-9=29', '42-15=27'] Exploring Operation: 29+27=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 77, 11, 9, 97 ]
69
[ "97-9=88", "88/11=8", "77-8=69" ]
Current State: 69:[77, 11, 9, 97], Operations: [] Exploring Operation: 97-9=88, Resulting Numbers: [77, 11, 88] Generated Node #2: [77, 11, 88] from Operation: 97-9=88 Current State: 69:[77, 11, 88], Operations: ['97-9=88'] Exploring Operation: 88/11=8, Resulting Numbers: [77, 8] Generated Node #3: [77, 8] from Operation: 88/11=8 Current State: 69:[77, 8], Operations: ['97-9=88', '88/11=8'] Exploring Operation: 77-8=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 98, 15, 48, 66 ]
23
[ "98*15=1470", "48+1470=1518", "1518/66=23" ]
Current State: 23:[98, 15, 48, 66], Operations: [] Exploring Operation: 98*15=1470, Resulting Numbers: [48, 66, 1470] Generated Node #2: [48, 66, 1470] from Operation: 98*15=1470 Current State: 23:[48, 66, 1470], Operations: ['98*15=1470'] Exploring Operation: 48+1470=1518, Resulting Numbers: [66, 1518] Generated Node #3: [66, 1518] from Operation: 48+1470=1518 Current State: 23:[66, 1518], Operations: ['98*15=1470', '48+1470=1518'] Exploring Operation: 1518/66=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 32, 48, 52, 48 ]
20
[ "32+48=80", "52+48=100", "100-80=20" ]
Current State: 20:[32, 48, 52, 48], Operations: [] Exploring Operation: 32+48=80, Resulting Numbers: [52, 80] Generated Node #2: [52, 80] from Operation: 32+48=80 Current State: 20:[52, 80], Operations: ['32+48=80'] Exploring Operation: 52+48=100, Resulting Numbers: [80, 100] Generated Node #3: [80, 100] from Operation: 52+48=100 Current State: 20:[80, 100], Operations: ['32+48=80', '52+48=100'] Exploring Operation: 100-80=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 68, 32, 80, 84 ]
51
[ "68*84=5712", "32+80=112", "5712/112=51" ]
Current State: 51:[68, 32, 80, 84], Operations: [] Exploring Operation: 68*84=5712, Resulting Numbers: [32, 80, 5712] Generated Node #2: [32, 80, 5712] from Operation: 68*84=5712 Current State: 51:[32, 80, 5712], Operations: ['68*84=5712'] Exploring Operation: 32+80=112, Resulting Numbers: [5712, 112] Generated Node #3: [5712, 112] from Operation: 32+80=112 Current State: 51:[5712, 112], Operations: ['68*84=5712', '32+80=112'] Exploring Operation: 5712/112=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 37, 20, 54, 44 ]
88
[ "20+54=74", "74/37=2", "44*2=88" ]
Current State: 88:[37, 20, 54, 44], Operations: [] Exploring Operation: 20+54=74, Resulting Numbers: [37, 44, 74] Generated Node #2: [37, 44, 74] from Operation: 20+54=74 Current State: 88:[37, 44, 74], Operations: ['20+54=74'] Exploring Operation: 74/37=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 74/37=2 Current State: 88:[44, 2], Operations: ['20+54=74', '74/37=2'] Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 80, 5, 2, 74 ]
63
[ "80+5=85", "2*74=148", "148-85=63" ]
Current State: 63:[80, 5, 2, 74], Operations: [] Exploring Operation: 80+5=85, Resulting Numbers: [2, 74, 85] Generated Node #2: [2, 74, 85] from Operation: 80+5=85 Current State: 63:[2, 74, 85], Operations: ['80+5=85'] Exploring Operation: 2*74=148, Resulting Numbers: [85, 148] Generated Node #3: [85, 148] from Operation: 2*74=148 Current State: 63:[85, 148], Operations: ['80+5=85', '2*74=148'] Exploring Operation: 148-85=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 40, 27, 12, 25 ]
32
[ "27-25=2", "40/2=20", "12+20=32" ]
Current State: 32:[40, 27, 12, 25], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [40, 12, 2] Generated Node #2: [40, 12, 2] from Operation: 27-25=2 Current State: 32:[40, 12, 2], Operations: ['27-25=2'] Exploring Operation: 40/2=20, Resulting Numbers: [12, 20] Generated Node #3: [12, 20] from Operation: 40/2=20 Current State: 32:[12, 20], Operations: ['27-25=2', '40/2=20'] Exploring Operation: 12+20=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 38, 72, 48, 2 ]
54
[ "38-2=36", "72*36=2592", "2592/48=54" ]
Current State: 54:[38, 72, 48, 2], Operations: [] Exploring Operation: 38-2=36, Resulting Numbers: [72, 48, 36] Generated Node #2: [72, 48, 36] from Operation: 38-2=36 Current State: 54:[72, 48, 36], Operations: ['38-2=36'] Exploring Operation: 72*36=2592, Resulting Numbers: [48, 2592] Generated Node #3: [48, 2592] from Operation: 72*36=2592 Current State: 54:[48, 2592], Operations: ['38-2=36', '72*36=2592'] Exploring Operation: 2592/48=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 4, 65, 94, 61 ]
93
[ "65-4=61", "61/61=1", "94-1=93" ]
Current State: 93:[4, 65, 94, 61], Operations: [] Exploring Operation: 65-4=61, Resulting Numbers: [94, 61, 61] Generated Node #2: [94, 61, 61] from Operation: 65-4=61 Current State: 93:[94, 61, 61], Operations: ['65-4=61'] Exploring Operation: 61/61=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 61/61=1 Current State: 93:[94, 1], Operations: ['65-4=61', '61/61=1'] Exploring Operation: 94-1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 30, 26, 3, 34 ]
93
[ "30+26=56", "3+34=37", "56+37=93" ]
Current State: 93:[30, 26, 3, 34], Operations: [] Exploring Operation: 30+26=56, Resulting Numbers: [3, 34, 56] Generated Node #2: [3, 34, 56] from Operation: 30+26=56 Current State: 93:[3, 34, 56], Operations: ['30+26=56'] Exploring Operation: 3+34=37, Resulting Numbers: [56, 37] Generated Node #3: [56, 37] from Operation: 3+34=37 Current State: 93:[56, 37], Operations: ['30+26=56', '3+34=37'] Exploring Operation: 56+37=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 60, 79, 32, 36 ]
64
[ "36-32=4", "60/4=15", "79-15=64" ]
Current State: 64:[60, 79, 32, 36], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [60, 79, 4] Generated Node #2: [60, 79, 4] from Operation: 36-32=4 Current State: 64:[60, 79, 4], Operations: ['36-32=4'] Exploring Operation: 60/4=15, Resulting Numbers: [79, 15] Generated Node #3: [79, 15] from Operation: 60/4=15 Current State: 64:[79, 15], Operations: ['36-32=4', '60/4=15'] Exploring Operation: 79-15=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 79, 80, 31, 91 ]
60
[ "80-79=1", "91-31=60", "1*60=60" ]
Current State: 60:[79, 80, 31, 91], Operations: [] Exploring Operation: 80-79=1, Resulting Numbers: [31, 91, 1] Generated Node #2: [31, 91, 1] from Operation: 80-79=1 Current State: 60:[31, 91, 1], Operations: ['80-79=1'] Exploring Operation: 91-31=60, Resulting Numbers: [1, 60] Generated Node #3: [1, 60] from Operation: 91-31=60 Current State: 60:[1, 60], Operations: ['80-79=1', '91-31=60'] Exploring Operation: 1*60=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 88, 53, 42, 40 ]
33
[ "88-53=35", "42-40=2", "35-2=33" ]
Current State: 33:[88, 53, 42, 40], Operations: [] Exploring Operation: 88-53=35, Resulting Numbers: [42, 40, 35] Generated Node #2: [42, 40, 35] from Operation: 88-53=35 Current State: 33:[42, 40, 35], Operations: ['88-53=35'] Exploring Operation: 42-40=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 42-40=2 Current State: 33:[35, 2], Operations: ['88-53=35', '42-40=2'] Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 92, 72, 19, 65 ]
64
[ "92-72=20", "19+65=84", "84-20=64" ]
Current State: 64:[92, 72, 19, 65], Operations: [] Exploring Operation: 92-72=20, Resulting Numbers: [19, 65, 20] Generated Node #2: [19, 65, 20] from Operation: 92-72=20 Current State: 64:[19, 65, 20], Operations: ['92-72=20'] Exploring Operation: 19+65=84, Resulting Numbers: [20, 84] Generated Node #3: [20, 84] from Operation: 19+65=84 Current State: 64:[20, 84], Operations: ['92-72=20', '19+65=84'] Exploring Operation: 84-20=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 64, 77, 32, 16 ]
51
[ "64*32=2048", "2048/16=128", "128-77=51" ]
Current State: 51:[64, 77, 32, 16], Operations: [] Exploring Operation: 64*32=2048, Resulting Numbers: [77, 16, 2048] Generated Node #2: [77, 16, 2048] from Operation: 64*32=2048 Current State: 51:[77, 16, 2048], Operations: ['64*32=2048'] Exploring Operation: 2048/16=128, Resulting Numbers: [77, 128] Generated Node #3: [77, 128] from Operation: 2048/16=128 Current State: 51:[77, 128], Operations: ['64*32=2048', '2048/16=128'] Exploring Operation: 128-77=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 5, 46, 74, 2 ]
12
[ "5*2=10", "46+74=120", "120/10=12" ]
Current State: 12:[5, 46, 74, 2], Operations: [] Exploring Operation: 5*2=10, Resulting Numbers: [46, 74, 10] Generated Node #2: [46, 74, 10] from Operation: 5*2=10 Current State: 12:[46, 74, 10], Operations: ['5*2=10'] Exploring Operation: 46+74=120, Resulting Numbers: [10, 120] Generated Node #3: [10, 120] from Operation: 46+74=120 Current State: 12:[10, 120], Operations: ['5*2=10', '46+74=120'] Exploring Operation: 120/10=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 77, 55, 51, 10 ]
91
[ "77+55=132", "51-10=41", "132-41=91" ]
Current State: 91:[77, 55, 51, 10], Operations: [] Exploring Operation: 77+55=132, Resulting Numbers: [51, 10, 132] Generated Node #2: [51, 10, 132] from Operation: 77+55=132 Current State: 91:[51, 10, 132], Operations: ['77+55=132'] Exploring Operation: 51-10=41, Resulting Numbers: [132, 41] Generated Node #3: [132, 41] from Operation: 51-10=41 Current State: 91:[132, 41], Operations: ['77+55=132', '51-10=41'] Exploring Operation: 132-41=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 73, 56, 4, 48 ]
39
[ "73-48=25", "56/4=14", "25+14=39" ]
Current State: 39:[73, 56, 4, 48], Operations: [] Exploring Operation: 73-48=25, Resulting Numbers: [56, 4, 25] Generated Node #2: [56, 4, 25] from Operation: 73-48=25 Current State: 39:[56, 4, 25], Operations: ['73-48=25'] Exploring Operation: 56/4=14, Resulting Numbers: [25, 14] Generated Node #3: [25, 14] from Operation: 56/4=14 Current State: 39:[25, 14], Operations: ['73-48=25', '56/4=14'] Exploring Operation: 25+14=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 91, 87, 59, 2 ]
36
[ "91*2=182", "87+59=146", "182-146=36" ]
Current State: 36:[91, 87, 59, 2], Operations: [] Exploring Operation: 91*2=182, Resulting Numbers: [87, 59, 182] Generated Node #2: [87, 59, 182] from Operation: 91*2=182 Current State: 36:[87, 59, 182], Operations: ['91*2=182'] Exploring Operation: 87+59=146, Resulting Numbers: [182, 146] Generated Node #3: [182, 146] from Operation: 87+59=146 Current State: 36:[182, 146], Operations: ['91*2=182', '87+59=146'] Exploring Operation: 182-146=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 32, 37, 44, 35 ]
37
[ "37-32=5", "35/5=7", "44-7=37" ]
Current State: 37:[32, 37, 44, 35], Operations: [] Exploring Operation: 37-32=5, Resulting Numbers: [44, 35, 5] Generated Node #2: [44, 35, 5] from Operation: 37-32=5 Current State: 37:[44, 35, 5], Operations: ['37-32=5'] Exploring Operation: 35/5=7, Resulting Numbers: [44, 7] Generated Node #3: [44, 7] from Operation: 35/5=7 Current State: 37:[44, 7], Operations: ['37-32=5', '35/5=7'] Exploring Operation: 44-7=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 59, 48, 18, 26 ]
99
[ "59+48=107", "26-18=8", "107-8=99" ]
Current State: 99:[59, 48, 18, 26], Operations: [] Exploring Operation: 59+48=107, Resulting Numbers: [18, 26, 107] Generated Node #2: [18, 26, 107] from Operation: 59+48=107 Current State: 99:[18, 26, 107], Operations: ['59+48=107'] Exploring Operation: 26-18=8, Resulting Numbers: [107, 8] Generated Node #3: [107, 8] from Operation: 26-18=8 Current State: 99:[107, 8], Operations: ['59+48=107', '26-18=8'] Exploring Operation: 107-8=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 8, 60, 49, 71 ]
46
[ "8+60=68", "71-49=22", "68-22=46" ]
Current State: 46:[8, 60, 49, 71], Operations: [] Exploring Operation: 8+60=68, Resulting Numbers: [49, 71, 68] Generated Node #2: [49, 71, 68] from Operation: 8+60=68 Current State: 46:[49, 71, 68], Operations: ['8+60=68'] Exploring Operation: 71-49=22, Resulting Numbers: [68, 22] Generated Node #3: [68, 22] from Operation: 71-49=22 Current State: 46:[68, 22], Operations: ['8+60=68', '71-49=22'] Exploring Operation: 68-22=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 56, 41, 59, 39 ]
62
[ "41-39=2", "59*2=118", "118-56=62" ]
Current State: 62:[56, 41, 59, 39], Operations: [] Exploring Operation: 41-39=2, Resulting Numbers: [56, 59, 2] Generated Node #2: [56, 59, 2] from Operation: 41-39=2 Current State: 62:[56, 59, 2], Operations: ['41-39=2'] Exploring Operation: 59*2=118, Resulting Numbers: [56, 118] Generated Node #3: [56, 118] from Operation: 59*2=118 Current State: 62:[56, 118], Operations: ['41-39=2', '59*2=118'] Exploring Operation: 118-56=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 37, 82, 88, 29 ]
14
[ "82-37=45", "88-29=59", "59-45=14" ]
Current State: 14:[37, 82, 88, 29], Operations: [] Exploring Operation: 82-37=45, Resulting Numbers: [88, 29, 45] Generated Node #2: [88, 29, 45] from Operation: 82-37=45 Current State: 14:[88, 29, 45], Operations: ['82-37=45'] Exploring Operation: 88-29=59, Resulting Numbers: [45, 59] Generated Node #3: [45, 59] from Operation: 88-29=59 Current State: 14:[45, 59], Operations: ['82-37=45', '88-29=59'] Exploring Operation: 59-45=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 19, 10, 5, 17 ]
30
[ "19-5=14", "17-14=3", "10*3=30" ]
Current State: 30:[19, 10, 5, 17], Operations: [] Exploring Operation: 19-5=14, Resulting Numbers: [10, 17, 14] Generated Node #2: [10, 17, 14] from Operation: 19-5=14 Current State: 30:[10, 17, 14], Operations: ['19-5=14'] Exploring Operation: 17-14=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 17-14=3 Current State: 30:[10, 3], Operations: ['19-5=14', '17-14=3'] Exploring Operation: 10*3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 6, 59, 48, 32 ]
35
[ "48/6=8", "59-32=27", "8+27=35" ]
Current State: 35:[6, 59, 48, 32], Operations: [] Exploring Operation: 48/6=8, Resulting Numbers: [59, 32, 8] Generated Node #2: [59, 32, 8] from Operation: 48/6=8 Current State: 35:[59, 32, 8], Operations: ['48/6=8'] Exploring Operation: 59-32=27, Resulting Numbers: [8, 27] Generated Node #3: [8, 27] from Operation: 59-32=27 Current State: 35:[8, 27], Operations: ['48/6=8', '59-32=27'] Exploring Operation: 8+27=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 16, 6, 95, 83 ]
96
[ "95-6=89", "89-83=6", "16*6=96" ]
Current State: 96:[16, 6, 95, 83], Operations: [] Exploring Operation: 95-6=89, Resulting Numbers: [16, 83, 89] Generated Node #2: [16, 83, 89] from Operation: 95-6=89 Current State: 96:[16, 83, 89], Operations: ['95-6=89'] Exploring Operation: 89-83=6, Resulting Numbers: [16, 6] Generated Node #3: [16, 6] from Operation: 89-83=6 Current State: 96:[16, 6], Operations: ['95-6=89', '89-83=6'] Exploring Operation: 16*6=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 54, 83, 62, 31 ]
58
[ "83-54=29", "62/31=2", "29*2=58" ]
Current State: 58:[54, 83, 62, 31], Operations: [] Exploring Operation: 83-54=29, Resulting Numbers: [62, 31, 29] Generated Node #2: [62, 31, 29] from Operation: 83-54=29 Current State: 58:[62, 31, 29], Operations: ['83-54=29'] Exploring Operation: 62/31=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 62/31=2 Current State: 58:[29, 2], Operations: ['83-54=29', '62/31=2'] Exploring Operation: 29*2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 4, 99, 67, 5 ]
59
[ "67*5=335", "335-99=236", "236/4=59" ]
Current State: 59:[4, 99, 67, 5], Operations: [] Exploring Operation: 67*5=335, Resulting Numbers: [4, 99, 335] Generated Node #2: [4, 99, 335] from Operation: 67*5=335 Current State: 59:[4, 99, 335], Operations: ['67*5=335'] Exploring Operation: 335-99=236, Resulting Numbers: [4, 236] Generated Node #3: [4, 236] from Operation: 335-99=236 Current State: 59:[4, 236], Operations: ['67*5=335', '335-99=236'] Exploring Operation: 236/4=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 13, 16, 86, 92 ]
35
[ "13+16=29", "92-86=6", "29+6=35" ]
Current State: 35:[13, 16, 86, 92], Operations: [] Exploring Operation: 13+16=29, Resulting Numbers: [86, 92, 29] Generated Node #2: [86, 92, 29] from Operation: 13+16=29 Current State: 35:[86, 92, 29], Operations: ['13+16=29'] Exploring Operation: 92-86=6, Resulting Numbers: [29, 6] Generated Node #3: [29, 6] from Operation: 92-86=6 Current State: 35:[29, 6], Operations: ['13+16=29', '92-86=6'] Exploring Operation: 29+6=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 69, 1, 66, 77 ]
59
[ "69+1=70", "77-66=11", "70-11=59" ]
Current State: 59:[69, 1, 66, 77], Operations: [] Exploring Operation: 69+1=70, Resulting Numbers: [66, 77, 70] Generated Node #2: [66, 77, 70] from Operation: 69+1=70 Current State: 59:[66, 77, 70], Operations: ['69+1=70'] Exploring Operation: 77-66=11, Resulting Numbers: [70, 11] Generated Node #3: [70, 11] from Operation: 77-66=11 Current State: 59:[70, 11], Operations: ['69+1=70', '77-66=11'] Exploring Operation: 70-11=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 81, 39, 24, 21 ]
66
[ "24-21=3", "81/3=27", "39+27=66" ]
Current State: 66:[81, 39, 24, 21], Operations: [] Exploring Operation: 24-21=3, Resulting Numbers: [81, 39, 3] Generated Node #2: [81, 39, 3] from Operation: 24-21=3 Current State: 66:[81, 39, 3], Operations: ['24-21=3'] Exploring Operation: 81/3=27, Resulting Numbers: [39, 27] Generated Node #3: [39, 27] from Operation: 81/3=27 Current State: 66:[39, 27], Operations: ['24-21=3', '81/3=27'] Exploring Operation: 39+27=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 72, 5, 52, 63 ]
25
[ "72+63=135", "135/5=27", "52-27=25" ]
Current State: 25:[72, 5, 52, 63], Operations: [] Exploring Operation: 72+63=135, Resulting Numbers: [5, 52, 135] Generated Node #2: [5, 52, 135] from Operation: 72+63=135 Current State: 25:[5, 52, 135], Operations: ['72+63=135'] Exploring Operation: 135/5=27, Resulting Numbers: [52, 27] Generated Node #3: [52, 27] from Operation: 135/5=27 Current State: 25:[52, 27], Operations: ['72+63=135', '135/5=27'] Exploring Operation: 52-27=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 76, 21, 42, 19 ]
74
[ "76+21=97", "42-19=23", "97-23=74" ]
Current State: 74:[76, 21, 42, 19], Operations: [] Exploring Operation: 76+21=97, Resulting Numbers: [42, 19, 97] Generated Node #2: [42, 19, 97] from Operation: 76+21=97 Current State: 74:[42, 19, 97], Operations: ['76+21=97'] Exploring Operation: 42-19=23, Resulting Numbers: [97, 23] Generated Node #3: [97, 23] from Operation: 42-19=23 Current State: 74:[97, 23], Operations: ['76+21=97', '42-19=23'] Exploring Operation: 97-23=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 4, 36, 16, 54 ]
28
[ "16*54=864", "864/36=24", "4+24=28" ]
Current State: 28:[4, 36, 16, 54], Operations: [] Exploring Operation: 16*54=864, Resulting Numbers: [4, 36, 864] Generated Node #2: [4, 36, 864] from Operation: 16*54=864 Current State: 28:[4, 36, 864], Operations: ['16*54=864'] Exploring Operation: 864/36=24, Resulting Numbers: [4, 24] Generated Node #3: [4, 24] from Operation: 864/36=24 Current State: 28:[4, 24], Operations: ['16*54=864', '864/36=24'] Exploring Operation: 4+24=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 62, 99, 43, 33 ]
16
[ "62-43=19", "99/33=3", "19-3=16" ]
Current State: 16:[62, 99, 43, 33], Operations: [] Exploring Operation: 62-43=19, Resulting Numbers: [99, 33, 19] Generated Node #2: [99, 33, 19] from Operation: 62-43=19 Current State: 16:[99, 33, 19], Operations: ['62-43=19'] Exploring Operation: 99/33=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 99/33=3 Current State: 16:[19, 3], Operations: ['62-43=19', '99/33=3'] Exploring Operation: 19-3=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 69, 88, 91, 85 ]
71
[ "91+85=176", "176/88=2", "69+2=71" ]
Current State: 71:[69, 88, 91, 85], Operations: [] Exploring Operation: 91+85=176, Resulting Numbers: [69, 88, 176] Generated Node #2: [69, 88, 176] from Operation: 91+85=176 Current State: 71:[69, 88, 176], Operations: ['91+85=176'] Exploring Operation: 176/88=2, Resulting Numbers: [69, 2] Generated Node #3: [69, 2] from Operation: 176/88=2 Current State: 71:[69, 2], Operations: ['91+85=176', '176/88=2'] Exploring Operation: 69+2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 18, 29, 14, 7 ]
68
[ "18+29=47", "14+7=21", "47+21=68" ]
Current State: 68:[18, 29, 14, 7], Operations: [] Exploring Operation: 18+29=47, Resulting Numbers: [14, 7, 47] Generated Node #2: [14, 7, 47] from Operation: 18+29=47 Current State: 68:[14, 7, 47], Operations: ['18+29=47'] Exploring Operation: 14+7=21, Resulting Numbers: [47, 21] Generated Node #3: [47, 21] from Operation: 14+7=21 Current State: 68:[47, 21], Operations: ['18+29=47', '14+7=21'] Exploring Operation: 47+21=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 6, 56, 95, 38 ]
83
[ "56-6=50", "95+38=133", "133-50=83" ]
Current State: 83:[6, 56, 95, 38], Operations: [] Exploring Operation: 56-6=50, Resulting Numbers: [95, 38, 50] Generated Node #2: [95, 38, 50] from Operation: 56-6=50 Current State: 83:[95, 38, 50], Operations: ['56-6=50'] Exploring Operation: 95+38=133, Resulting Numbers: [50, 133] Generated Node #3: [50, 133] from Operation: 95+38=133 Current State: 83:[50, 133], Operations: ['56-6=50', '95+38=133'] Exploring Operation: 133-50=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 3, 28, 22, 93 ]
33
[ "28-22=6", "93+6=99", "99/3=33" ]
Current State: 33:[3, 28, 22, 93], Operations: [] Exploring Operation: 28-22=6, Resulting Numbers: [3, 93, 6] Generated Node #2: [3, 93, 6] from Operation: 28-22=6 Current State: 33:[3, 93, 6], Operations: ['28-22=6'] Exploring Operation: 93+6=99, Resulting Numbers: [3, 99] Generated Node #3: [3, 99] from Operation: 93+6=99 Current State: 33:[3, 99], Operations: ['28-22=6', '93+6=99'] Exploring Operation: 99/3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 56, 41, 89, 30 ]
35
[ "56*30=1680", "89-41=48", "1680/48=35" ]
Current State: 35:[56, 41, 89, 30], Operations: [] Exploring Operation: 56*30=1680, Resulting Numbers: [41, 89, 1680] Generated Node #2: [41, 89, 1680] from Operation: 56*30=1680 Current State: 35:[41, 89, 1680], Operations: ['56*30=1680'] Exploring Operation: 89-41=48, Resulting Numbers: [1680, 48] Generated Node #3: [1680, 48] from Operation: 89-41=48 Current State: 35:[1680, 48], Operations: ['56*30=1680', '89-41=48'] Exploring Operation: 1680/48=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 78, 1, 25, 27 ]
30
[ "1+25=26", "78/26=3", "27+3=30" ]
Current State: 30:[78, 1, 25, 27], Operations: [] Exploring Operation: 1+25=26, Resulting Numbers: [78, 27, 26] Generated Node #2: [78, 27, 26] from Operation: 1+25=26 Current State: 30:[78, 27, 26], Operations: ['1+25=26'] Exploring Operation: 78/26=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 78/26=3 Current State: 30:[27, 3], Operations: ['1+25=26', '78/26=3'] Exploring Operation: 27+3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 14, 8, 49, 83 ]
55
[ "8*49=392", "392/14=28", "83-28=55" ]
Current State: 55:[14, 8, 49, 83], Operations: [] Exploring Operation: 8*49=392, Resulting Numbers: [14, 83, 392] Generated Node #2: [14, 83, 392] from Operation: 8*49=392 Current State: 55:[14, 83, 392], Operations: ['8*49=392'] Exploring Operation: 392/14=28, Resulting Numbers: [83, 28] Generated Node #3: [83, 28] from Operation: 392/14=28 Current State: 55:[83, 28], Operations: ['8*49=392', '392/14=28'] Exploring Operation: 83-28=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 37, 33, 97, 82 ]
85
[ "37+33=70", "97-82=15", "70+15=85" ]
Current State: 85:[37, 33, 97, 82], Operations: [] Exploring Operation: 37+33=70, Resulting Numbers: [97, 82, 70] Generated Node #2: [97, 82, 70] from Operation: 37+33=70 Current State: 85:[97, 82, 70], Operations: ['37+33=70'] Exploring Operation: 97-82=15, Resulting Numbers: [70, 15] Generated Node #3: [70, 15] from Operation: 97-82=15 Current State: 85:[70, 15], Operations: ['37+33=70', '97-82=15'] Exploring Operation: 70+15=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 86, 16, 19, 6 ]
14
[ "86-6=80", "80/16=5", "19-5=14" ]
Current State: 14:[86, 16, 19, 6], Operations: [] Exploring Operation: 86-6=80, Resulting Numbers: [16, 19, 80] Generated Node #2: [16, 19, 80] from Operation: 86-6=80 Current State: 14:[16, 19, 80], Operations: ['86-6=80'] Exploring Operation: 80/16=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 80/16=5 Current State: 14:[19, 5], Operations: ['86-6=80', '80/16=5'] Exploring Operation: 19-5=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 90, 56, 13, 31 ]
10
[ "90-56=34", "13+31=44", "44-34=10" ]
Current State: 10:[90, 56, 13, 31], Operations: [] Exploring Operation: 90-56=34, Resulting Numbers: [13, 31, 34] Generated Node #2: [13, 31, 34] from Operation: 90-56=34 Current State: 10:[13, 31, 34], Operations: ['90-56=34'] Exploring Operation: 13+31=44, Resulting Numbers: [34, 44] Generated Node #3: [34, 44] from Operation: 13+31=44 Current State: 10:[34, 44], Operations: ['90-56=34', '13+31=44'] Exploring Operation: 44-34=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 43, 68, 41, 87 ]
53
[ "43-41=2", "68/2=34", "87-34=53" ]
Current State: 53:[43, 68, 41, 87], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [68, 87, 2] Generated Node #2: [68, 87, 2] from Operation: 43-41=2 Current State: 53:[68, 87, 2], Operations: ['43-41=2'] Exploring Operation: 68/2=34, Resulting Numbers: [87, 34] Generated Node #3: [87, 34] from Operation: 68/2=34 Current State: 53:[87, 34], Operations: ['43-41=2', '68/2=34'] Exploring Operation: 87-34=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 7, 25, 39, 30 ]
51
[ "25-7=18", "39+30=69", "69-18=51" ]
Current State: 51:[7, 25, 39, 30], Operations: [] Exploring Operation: 25-7=18, Resulting Numbers: [39, 30, 18] Generated Node #2: [39, 30, 18] from Operation: 25-7=18 Current State: 51:[39, 30, 18], Operations: ['25-7=18'] Exploring Operation: 39+30=69, Resulting Numbers: [18, 69] Generated Node #3: [18, 69] from Operation: 39+30=69 Current State: 51:[18, 69], Operations: ['25-7=18', '39+30=69'] Exploring Operation: 69-18=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 48, 89, 58, 41 ]
13
[ "58-48=10", "89+41=130", "130/10=13" ]
Current State: 13:[48, 89, 58, 41], Operations: [] Exploring Operation: 58-48=10, Resulting Numbers: [89, 41, 10] Generated Node #2: [89, 41, 10] from Operation: 58-48=10 Current State: 13:[89, 41, 10], Operations: ['58-48=10'] Exploring Operation: 89+41=130, Resulting Numbers: [10, 130] Generated Node #3: [10, 130] from Operation: 89+41=130 Current State: 13:[10, 130], Operations: ['58-48=10', '89+41=130'] Exploring Operation: 130/10=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 91, 33, 24, 3 ]
64
[ "91-3=88", "24*88=2112", "2112/33=64" ]
Current State: 64:[91, 33, 24, 3], Operations: [] Exploring Operation: 91-3=88, Resulting Numbers: [33, 24, 88] Generated Node #2: [33, 24, 88] from Operation: 91-3=88 Current State: 64:[33, 24, 88], Operations: ['91-3=88'] Exploring Operation: 24*88=2112, Resulting Numbers: [33, 2112] Generated Node #3: [33, 2112] from Operation: 24*88=2112 Current State: 64:[33, 2112], Operations: ['91-3=88', '24*88=2112'] Exploring Operation: 2112/33=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 66, 3, 67, 52 ]
61
[ "67-52=15", "15/3=5", "66-5=61" ]
Current State: 61:[66, 3, 67, 52], Operations: [] Exploring Operation: 67-52=15, Resulting Numbers: [66, 3, 15] Generated Node #2: [66, 3, 15] from Operation: 67-52=15 Current State: 61:[66, 3, 15], Operations: ['67-52=15'] Exploring Operation: 15/3=5, Resulting Numbers: [66, 5] Generated Node #3: [66, 5] from Operation: 15/3=5 Current State: 61:[66, 5], Operations: ['67-52=15', '15/3=5'] Exploring Operation: 66-5=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 96, 49, 90, 86 ]
51
[ "96-49=47", "90-86=4", "47+4=51" ]
Current State: 51:[96, 49, 90, 86], Operations: [] Exploring Operation: 96-49=47, Resulting Numbers: [90, 86, 47] Generated Node #2: [90, 86, 47] from Operation: 96-49=47 Current State: 51:[90, 86, 47], Operations: ['96-49=47'] Exploring Operation: 90-86=4, Resulting Numbers: [47, 4] Generated Node #3: [47, 4] from Operation: 90-86=4 Current State: 51:[47, 4], Operations: ['96-49=47', '90-86=4'] Exploring Operation: 47+4=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 77, 8, 6, 18 ]
47
[ "77+18=95", "8*6=48", "95-48=47" ]
Current State: 47:[77, 8, 6, 18], Operations: [] Exploring Operation: 77+18=95, Resulting Numbers: [8, 6, 95] Generated Node #2: [8, 6, 95] from Operation: 77+18=95 Current State: 47:[8, 6, 95], Operations: ['77+18=95'] Exploring Operation: 8*6=48, Resulting Numbers: [95, 48] Generated Node #3: [95, 48] from Operation: 8*6=48 Current State: 47:[95, 48], Operations: ['77+18=95', '8*6=48'] Exploring Operation: 95-48=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 55, 20, 10, 50 ]
14
[ "55-50=5", "20/5=4", "10+4=14" ]
Current State: 14:[55, 20, 10, 50], Operations: [] Exploring Operation: 55-50=5, Resulting Numbers: [20, 10, 5] Generated Node #2: [20, 10, 5] from Operation: 55-50=5 Current State: 14:[20, 10, 5], Operations: ['55-50=5'] Exploring Operation: 20/5=4, Resulting Numbers: [10, 4] Generated Node #3: [10, 4] from Operation: 20/5=4 Current State: 14:[10, 4], Operations: ['55-50=5', '20/5=4'] Exploring Operation: 10+4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 43, 47, 80, 72 ]
82
[ "43+47=90", "80-72=8", "90-8=82" ]
Current State: 82:[43, 47, 80, 72], Operations: [] Exploring Operation: 43+47=90, Resulting Numbers: [80, 72, 90] Generated Node #2: [80, 72, 90] from Operation: 43+47=90 Current State: 82:[80, 72, 90], Operations: ['43+47=90'] Exploring Operation: 80-72=8, Resulting Numbers: [90, 8] Generated Node #3: [90, 8] from Operation: 80-72=8 Current State: 82:[90, 8], Operations: ['43+47=90', '80-72=8'] Exploring Operation: 90-8=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 75, 21, 62, 99 ]
65
[ "75+21=96", "62+99=161", "161-96=65" ]
Current State: 65:[75, 21, 62, 99], Operations: [] Exploring Operation: 75+21=96, Resulting Numbers: [62, 99, 96] Generated Node #2: [62, 99, 96] from Operation: 75+21=96 Current State: 65:[62, 99, 96], Operations: ['75+21=96'] Exploring Operation: 62+99=161, Resulting Numbers: [96, 161] Generated Node #3: [96, 161] from Operation: 62+99=161 Current State: 65:[96, 161], Operations: ['75+21=96', '62+99=161'] Exploring Operation: 161-96=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 20, 27, 27, 81 ]
29
[ "27*27=729", "729/81=9", "20+9=29" ]
Current State: 29:[20, 27, 27, 81], Operations: [] Exploring Operation: 27*27=729, Resulting Numbers: [20, 81, 729] Generated Node #2: [20, 81, 729] from Operation: 27*27=729 Current State: 29:[20, 81, 729], Operations: ['27*27=729'] Exploring Operation: 729/81=9, Resulting Numbers: [20, 9] Generated Node #3: [20, 9] from Operation: 729/81=9 Current State: 29:[20, 9], Operations: ['27*27=729', '729/81=9'] Exploring Operation: 20+9=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 7, 61, 62, 25 ]
31
[ "7+61=68", "62-25=37", "68-37=31" ]
Current State: 31:[7, 61, 62, 25], Operations: [] Exploring Operation: 7+61=68, Resulting Numbers: [62, 25, 68] Generated Node #2: [62, 25, 68] from Operation: 7+61=68 Current State: 31:[62, 25, 68], Operations: ['7+61=68'] Exploring Operation: 62-25=37, Resulting Numbers: [68, 37] Generated Node #3: [68, 37] from Operation: 62-25=37 Current State: 31:[68, 37], Operations: ['7+61=68', '62-25=37'] Exploring Operation: 68-37=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 24, 90, 86, 2 ]
98
[ "90-86=4", "24*4=96", "2+96=98" ]
Current State: 98:[24, 90, 86, 2], Operations: [] Exploring Operation: 90-86=4, Resulting Numbers: [24, 2, 4] Generated Node #2: [24, 2, 4] from Operation: 90-86=4 Current State: 98:[24, 2, 4], Operations: ['90-86=4'] Exploring Operation: 24*4=96, Resulting Numbers: [2, 96] Generated Node #3: [2, 96] from Operation: 24*4=96 Current State: 98:[2, 96], Operations: ['90-86=4', '24*4=96'] Exploring Operation: 2+96=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 45, 19, 90, 6 ]
22
[ "90/45=2", "6/2=3", "19+3=22" ]
Current State: 22:[45, 19, 90, 6], Operations: [] Exploring Operation: 90/45=2, Resulting Numbers: [19, 6, 2] Generated Node #2: [19, 6, 2] from Operation: 90/45=2 Current State: 22:[19, 6, 2], Operations: ['90/45=2'] Exploring Operation: 6/2=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 6/2=3 Current State: 22:[19, 3], Operations: ['90/45=2', '6/2=3'] Exploring Operation: 19+3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 94, 2, 63, 65 ]
81
[ "94/2=47", "63+65=128", "128-47=81" ]
Current State: 81:[94, 2, 63, 65], Operations: [] Exploring Operation: 94/2=47, Resulting Numbers: [63, 65, 47] Generated Node #2: [63, 65, 47] from Operation: 94/2=47 Current State: 81:[63, 65, 47], Operations: ['94/2=47'] Exploring Operation: 63+65=128, Resulting Numbers: [47, 128] Generated Node #3: [47, 128] from Operation: 63+65=128 Current State: 81:[47, 128], Operations: ['94/2=47', '63+65=128'] Exploring Operation: 128-47=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 10, 2, 41, 70 ]
27
[ "10/2=5", "70/5=14", "41-14=27" ]
Current State: 27:[10, 2, 41, 70], Operations: [] Exploring Operation: 10/2=5, Resulting Numbers: [41, 70, 5] Generated Node #2: [41, 70, 5] from Operation: 10/2=5 Current State: 27:[41, 70, 5], Operations: ['10/2=5'] Exploring Operation: 70/5=14, Resulting Numbers: [41, 14] Generated Node #3: [41, 14] from Operation: 70/5=14 Current State: 27:[41, 14], Operations: ['10/2=5', '70/5=14'] Exploring Operation: 41-14=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 55, 11, 32, 29 ]
63
[ "55+11=66", "32-29=3", "66-3=63" ]
Current State: 63:[55, 11, 32, 29], Operations: [] Exploring Operation: 55+11=66, Resulting Numbers: [32, 29, 66] Generated Node #2: [32, 29, 66] from Operation: 55+11=66 Current State: 63:[32, 29, 66], Operations: ['55+11=66'] Exploring Operation: 32-29=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 32-29=3 Current State: 63:[66, 3], Operations: ['55+11=66', '32-29=3'] Exploring Operation: 66-3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 38, 80, 34, 66 ]
69
[ "80+34=114", "114/38=3", "66+3=69" ]
Current State: 69:[38, 80, 34, 66], Operations: [] Exploring Operation: 80+34=114, Resulting Numbers: [38, 66, 114] Generated Node #2: [38, 66, 114] from Operation: 80+34=114 Current State: 69:[38, 66, 114], Operations: ['80+34=114'] Exploring Operation: 114/38=3, Resulting Numbers: [66, 3] Generated Node #3: [66, 3] from Operation: 114/38=3 Current State: 69:[66, 3], Operations: ['80+34=114', '114/38=3'] Exploring Operation: 66+3=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 96, 56, 5, 19 ]
52
[ "5+19=24", "96/24=4", "56-4=52" ]
Current State: 52:[96, 56, 5, 19], Operations: [] Exploring Operation: 5+19=24, Resulting Numbers: [96, 56, 24] Generated Node #2: [96, 56, 24] from Operation: 5+19=24 Current State: 52:[96, 56, 24], Operations: ['5+19=24'] Exploring Operation: 96/24=4, Resulting Numbers: [56, 4] Generated Node #3: [56, 4] from Operation: 96/24=4 Current State: 52:[56, 4], Operations: ['5+19=24', '96/24=4'] Exploring Operation: 56-4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 52, 45, 32, 35 ]
30
[ "52+45=97", "32+35=67", "97-67=30" ]
Current State: 30:[52, 45, 32, 35], Operations: [] Exploring Operation: 52+45=97, Resulting Numbers: [32, 35, 97] Generated Node #2: [32, 35, 97] from Operation: 52+45=97 Current State: 30:[32, 35, 97], Operations: ['52+45=97'] Exploring Operation: 32+35=67, Resulting Numbers: [97, 67] Generated Node #3: [97, 67] from Operation: 32+35=67 Current State: 30:[97, 67], Operations: ['52+45=97', '32+35=67'] Exploring Operation: 97-67=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 81, 32, 25, 23 ]
59
[ "81*23=1863", "25+1863=1888", "1888/32=59" ]
Current State: 59:[81, 32, 25, 23], Operations: [] Exploring Operation: 81*23=1863, Resulting Numbers: [32, 25, 1863] Generated Node #2: [32, 25, 1863] from Operation: 81*23=1863 Current State: 59:[32, 25, 1863], Operations: ['81*23=1863'] Exploring Operation: 25+1863=1888, Resulting Numbers: [32, 1888] Generated Node #3: [32, 1888] from Operation: 25+1863=1888 Current State: 59:[32, 1888], Operations: ['81*23=1863', '25+1863=1888'] Exploring Operation: 1888/32=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 11, 31, 54, 93 ]
59
[ "31-11=20", "93-54=39", "20+39=59" ]
Current State: 59:[11, 31, 54, 93], Operations: [] Exploring Operation: 31-11=20, Resulting Numbers: [54, 93, 20] Generated Node #2: [54, 93, 20] from Operation: 31-11=20 Current State: 59:[54, 93, 20], Operations: ['31-11=20'] Exploring Operation: 93-54=39, Resulting Numbers: [20, 39] Generated Node #3: [20, 39] from Operation: 93-54=39 Current State: 59:[20, 39], Operations: ['31-11=20', '93-54=39'] Exploring Operation: 20+39=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 23, 73, 7, 30 ]
24
[ "30-23=7", "7*7=49", "73-49=24" ]
Current State: 24:[23, 73, 7, 30], Operations: [] Exploring Operation: 30-23=7, Resulting Numbers: [73, 7, 7] Generated Node #2: [73, 7, 7] from Operation: 30-23=7 Current State: 24:[73, 7, 7], Operations: ['30-23=7'] Exploring Operation: 7*7=49, Resulting Numbers: [73, 49] Generated Node #3: [73, 49] from Operation: 7*7=49 Current State: 24:[73, 49], Operations: ['30-23=7', '7*7=49'] Exploring Operation: 73-49=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 48, 47, 25, 90 ]
60
[ "48*90=4320", "47+25=72", "4320/72=60" ]
Current State: 60:[48, 47, 25, 90], Operations: [] Exploring Operation: 48*90=4320, Resulting Numbers: [47, 25, 4320] Generated Node #2: [47, 25, 4320] from Operation: 48*90=4320 Current State: 60:[47, 25, 4320], Operations: ['48*90=4320'] Exploring Operation: 47+25=72, Resulting Numbers: [4320, 72] Generated Node #3: [4320, 72] from Operation: 47+25=72 Current State: 60:[4320, 72], Operations: ['48*90=4320', '47+25=72'] Exploring Operation: 4320/72=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 82, 14, 21, 51 ]
48
[ "14*51=714", "714/21=34", "82-34=48" ]
Current State: 48:[82, 14, 21, 51], Operations: [] Exploring Operation: 14*51=714, Resulting Numbers: [82, 21, 714] Generated Node #2: [82, 21, 714] from Operation: 14*51=714 Current State: 48:[82, 21, 714], Operations: ['14*51=714'] Exploring Operation: 714/21=34, Resulting Numbers: [82, 34] Generated Node #3: [82, 34] from Operation: 714/21=34 Current State: 48:[82, 34], Operations: ['14*51=714', '714/21=34'] Exploring Operation: 82-34=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 47, 41, 6, 92 ]
24
[ "47+41=88", "92-88=4", "6*4=24" ]
Current State: 24:[47, 41, 6, 92], Operations: [] Exploring Operation: 47+41=88, Resulting Numbers: [6, 92, 88] Generated Node #2: [6, 92, 88] from Operation: 47+41=88 Current State: 24:[6, 92, 88], Operations: ['47+41=88'] Exploring Operation: 92-88=4, Resulting Numbers: [6, 4] Generated Node #3: [6, 4] from Operation: 92-88=4 Current State: 24:[6, 4], Operations: ['47+41=88', '92-88=4'] Exploring Operation: 6*4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 65, 38, 30, 2 ]
78
[ "38-2=36", "65*36=2340", "2340/30=78" ]
Current State: 78:[65, 38, 30, 2], Operations: [] Exploring Operation: 38-2=36, Resulting Numbers: [65, 30, 36] Generated Node #2: [65, 30, 36] from Operation: 38-2=36 Current State: 78:[65, 30, 36], Operations: ['38-2=36'] Exploring Operation: 65*36=2340, Resulting Numbers: [30, 2340] Generated Node #3: [30, 2340] from Operation: 65*36=2340 Current State: 78:[30, 2340], Operations: ['38-2=36', '65*36=2340'] Exploring Operation: 2340/30=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 18, 85, 55, 7 ]
14
[ "18*7=126", "85+55=140", "140-126=14" ]
Current State: 14:[18, 85, 55, 7], Operations: [] Exploring Operation: 18*7=126, Resulting Numbers: [85, 55, 126] Generated Node #2: [85, 55, 126] from Operation: 18*7=126 Current State: 14:[85, 55, 126], Operations: ['18*7=126'] Exploring Operation: 85+55=140, Resulting Numbers: [126, 140] Generated Node #3: [126, 140] from Operation: 85+55=140 Current State: 14:[126, 140], Operations: ['18*7=126', '85+55=140'] Exploring Operation: 140-126=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 18, 41, 97, 66 ]
54
[ "41-18=23", "97-66=31", "23+31=54" ]
Current State: 54:[18, 41, 97, 66], Operations: [] Exploring Operation: 41-18=23, Resulting Numbers: [97, 66, 23] Generated Node #2: [97, 66, 23] from Operation: 41-18=23 Current State: 54:[97, 66, 23], Operations: ['41-18=23'] Exploring Operation: 97-66=31, Resulting Numbers: [23, 31] Generated Node #3: [23, 31] from Operation: 97-66=31 Current State: 54:[23, 31], Operations: ['41-18=23', '97-66=31'] Exploring Operation: 23+31=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 24, 49, 32, 56 ]
42
[ "32-24=8", "56/8=7", "49-7=42" ]
Current State: 42:[24, 49, 32, 56], Operations: [] Exploring Operation: 32-24=8, Resulting Numbers: [49, 56, 8] Generated Node #2: [49, 56, 8] from Operation: 32-24=8 Current State: 42:[49, 56, 8], Operations: ['32-24=8'] Exploring Operation: 56/8=7, Resulting Numbers: [49, 7] Generated Node #3: [49, 7] from Operation: 56/8=7 Current State: 42:[49, 7], Operations: ['32-24=8', '56/8=7'] Exploring Operation: 49-7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 42, 41, 10, 75 ]
80
[ "42+41=83", "83-75=8", "10*8=80" ]
Current State: 80:[42, 41, 10, 75], Operations: [] Exploring Operation: 42+41=83, Resulting Numbers: [10, 75, 83] Generated Node #2: [10, 75, 83] from Operation: 42+41=83 Current State: 80:[10, 75, 83], Operations: ['42+41=83'] Exploring Operation: 83-75=8, Resulting Numbers: [10, 8] Generated Node #3: [10, 8] from Operation: 83-75=8 Current State: 80:[10, 8], Operations: ['42+41=83', '83-75=8'] Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 11, 82, 28, 90 ]
84
[ "11+82=93", "93-90=3", "28*3=84" ]
Current State: 84:[11, 82, 28, 90], Operations: [] Exploring Operation: 11+82=93, Resulting Numbers: [28, 90, 93] Generated Node #2: [28, 90, 93] from Operation: 11+82=93 Current State: 84:[28, 90, 93], Operations: ['11+82=93'] Exploring Operation: 93-90=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 93-90=3 Current State: 84:[28, 3], Operations: ['11+82=93', '93-90=3'] Exploring Operation: 28*3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 96, 6, 90, 43 ]
55
[ "96+6=102", "90-43=47", "102-47=55" ]
Current State: 55:[96, 6, 90, 43], Operations: [] Exploring Operation: 96+6=102, Resulting Numbers: [90, 43, 102] Generated Node #2: [90, 43, 102] from Operation: 96+6=102 Current State: 55:[90, 43, 102], Operations: ['96+6=102'] Exploring Operation: 90-43=47, Resulting Numbers: [102, 47] Generated Node #3: [102, 47] from Operation: 90-43=47 Current State: 55:[102, 47], Operations: ['96+6=102', '90-43=47'] Exploring Operation: 102-47=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 49, 54, 85, 31 ]
49
[ "49+54=103", "85-31=54", "103-54=49" ]
Current State: 49:[49, 54, 85, 31], Operations: [] Exploring Operation: 49+54=103, Resulting Numbers: [85, 31, 103] Generated Node #2: [85, 31, 103] from Operation: 49+54=103 Current State: 49:[85, 31, 103], Operations: ['49+54=103'] Exploring Operation: 85-31=54, Resulting Numbers: [103, 54] Generated Node #3: [103, 54] from Operation: 85-31=54 Current State: 49:[103, 54], Operations: ['49+54=103', '85-31=54'] Exploring Operation: 103-54=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 82, 4, 56, 15 ]
53
[ "82-15=67", "56/4=14", "67-14=53" ]
Current State: 53:[82, 4, 56, 15], Operations: [] Exploring Operation: 82-15=67, Resulting Numbers: [4, 56, 67] Generated Node #2: [4, 56, 67] from Operation: 82-15=67 Current State: 53:[4, 56, 67], Operations: ['82-15=67'] Exploring Operation: 56/4=14, Resulting Numbers: [67, 14] Generated Node #3: [67, 14] from Operation: 56/4=14 Current State: 53:[67, 14], Operations: ['82-15=67', '56/4=14'] Exploring Operation: 67-14=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 50, 41, 81, 68 ]
85
[ "50*68=3400", "81-41=40", "3400/40=85" ]
Current State: 85:[50, 41, 81, 68], Operations: [] Exploring Operation: 50*68=3400, Resulting Numbers: [41, 81, 3400] Generated Node #2: [41, 81, 3400] from Operation: 50*68=3400 Current State: 85:[41, 81, 3400], Operations: ['50*68=3400'] Exploring Operation: 81-41=40, Resulting Numbers: [3400, 40] Generated Node #3: [3400, 40] from Operation: 81-41=40 Current State: 85:[3400, 40], Operations: ['50*68=3400', '81-41=40'] Exploring Operation: 3400/40=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 10, 54, 82, 52 ]
62
[ "54-52=2", "10*2=20", "82-20=62" ]
Current State: 62:[10, 54, 82, 52], Operations: [] Exploring Operation: 54-52=2, Resulting Numbers: [10, 82, 2] Generated Node #2: [10, 82, 2] from Operation: 54-52=2 Current State: 62:[10, 82, 2], Operations: ['54-52=2'] Exploring Operation: 10*2=20, Resulting Numbers: [82, 20] Generated Node #3: [82, 20] from Operation: 10*2=20 Current State: 62:[82, 20], Operations: ['54-52=2', '10*2=20'] Exploring Operation: 82-20=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 3, 84, 14, 23 ]
14
[ "3+14=17", "23-17=6", "84/6=14" ]
Current State: 14:[3, 84, 14, 23], Operations: [] Exploring Operation: 3+14=17, Resulting Numbers: [84, 23, 17] Generated Node #2: [84, 23, 17] from Operation: 3+14=17 Current State: 14:[84, 23, 17], Operations: ['3+14=17'] Exploring Operation: 23-17=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 23-17=6 Current State: 14:[84, 6], Operations: ['3+14=17', '23-17=6'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 78, 33, 2, 12 ]
39
[ "78-33=45", "12/2=6", "45-6=39" ]
Current State: 39:[78, 33, 2, 12], Operations: [] Exploring Operation: 78-33=45, Resulting Numbers: [2, 12, 45] Generated Node #2: [2, 12, 45] from Operation: 78-33=45 Current State: 39:[2, 12, 45], Operations: ['78-33=45'] Exploring Operation: 12/2=6, Resulting Numbers: [45, 6] Generated Node #3: [45, 6] from Operation: 12/2=6 Current State: 39:[45, 6], Operations: ['78-33=45', '12/2=6'] Exploring Operation: 45-6=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 17, 21, 21, 19 ]
17
[ "21-21=0", "19*0=0", "17+0=17" ]
Current State: 17:[17, 21, 21, 19], Operations: [] Exploring Operation: 21-21=0, Resulting Numbers: [17, 19, 0] Generated Node #2: [17, 19, 0] from Operation: 21-21=0 Current State: 17:[17, 19, 0], Operations: ['21-21=0'] Exploring Operation: 19*0=0, Resulting Numbers: [17, 0] Generated Node #3: [17, 0] from Operation: 19*0=0 Current State: 17:[17, 0], Operations: ['21-21=0', '19*0=0'] Exploring Operation: 17+0=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 80, 8, 61, 54 ]
79
[ "80-8=72", "61-54=7", "72+7=79" ]
Current State: 79:[80, 8, 61, 54], Operations: [] Exploring Operation: 80-8=72, Resulting Numbers: [61, 54, 72] Generated Node #2: [61, 54, 72] from Operation: 80-8=72 Current State: 79:[61, 54, 72], Operations: ['80-8=72'] Exploring Operation: 61-54=7, Resulting Numbers: [72, 7] Generated Node #3: [72, 7] from Operation: 61-54=7 Current State: 79:[72, 7], Operations: ['80-8=72', '61-54=7'] Exploring Operation: 72+7=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 45, 41, 49, 39 ]
15
[ "45-39=6", "41+49=90", "90/6=15" ]
Current State: 15:[45, 41, 49, 39], Operations: [] Exploring Operation: 45-39=6, Resulting Numbers: [41, 49, 6] Generated Node #2: [41, 49, 6] from Operation: 45-39=6 Current State: 15:[41, 49, 6], Operations: ['45-39=6'] Exploring Operation: 41+49=90, Resulting Numbers: [6, 90] Generated Node #3: [6, 90] from Operation: 41+49=90 Current State: 15:[6, 90], Operations: ['45-39=6', '41+49=90'] Exploring Operation: 90/6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 96, 98, 46, 92 ]
62
[ "98-92=6", "96/6=16", "46+16=62" ]
Current State: 62:[96, 98, 46, 92], Operations: [] Exploring Operation: 98-92=6, Resulting Numbers: [96, 46, 6] Generated Node #2: [96, 46, 6] from Operation: 98-92=6 Current State: 62:[96, 46, 6], Operations: ['98-92=6'] Exploring Operation: 96/6=16, Resulting Numbers: [46, 16] Generated Node #3: [46, 16] from Operation: 96/6=16 Current State: 62:[46, 16], Operations: ['98-92=6', '96/6=16'] Exploring Operation: 46+16=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 15, 52, 82, 62 ]
64
[ "82-52=30", "30/15=2", "62+2=64" ]
Current State: 64:[15, 52, 82, 62], Operations: [] Exploring Operation: 82-52=30, Resulting Numbers: [15, 62, 30] Generated Node #2: [15, 62, 30] from Operation: 82-52=30 Current State: 64:[15, 62, 30], Operations: ['82-52=30'] Exploring Operation: 30/15=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 30/15=2 Current State: 64:[62, 2], Operations: ['82-52=30', '30/15=2'] Exploring Operation: 62+2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 31, 45, 36, 44 ]
84
[ "31+45=76", "44-36=8", "76+8=84" ]
Current State: 84:[31, 45, 36, 44], Operations: [] Exploring Operation: 31+45=76, Resulting Numbers: [36, 44, 76] Generated Node #2: [36, 44, 76] from Operation: 31+45=76 Current State: 84:[36, 44, 76], Operations: ['31+45=76'] Exploring Operation: 44-36=8, Resulting Numbers: [76, 8] Generated Node #3: [76, 8] from Operation: 44-36=8 Current State: 84:[76, 8], Operations: ['31+45=76', '44-36=8'] Exploring Operation: 76+8=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 14, 94, 50, 99 ]
41
[ "14+94=108", "50+99=149", "149-108=41" ]
Current State: 41:[14, 94, 50, 99], Operations: [] Exploring Operation: 14+94=108, Resulting Numbers: [50, 99, 108] Generated Node #2: [50, 99, 108] from Operation: 14+94=108 Current State: 41:[50, 99, 108], Operations: ['14+94=108'] Exploring Operation: 50+99=149, Resulting Numbers: [108, 149] Generated Node #3: [108, 149] from Operation: 50+99=149 Current State: 41:[108, 149], Operations: ['14+94=108', '50+99=149'] Exploring Operation: 149-108=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 56, 87, 38, 67 ]
59
[ "67-38=29", "87/29=3", "56+3=59" ]
Current State: 59:[56, 87, 38, 67], Operations: [] Exploring Operation: 67-38=29, Resulting Numbers: [56, 87, 29] Generated Node #2: [56, 87, 29] from Operation: 67-38=29 Current State: 59:[56, 87, 29], Operations: ['67-38=29'] Exploring Operation: 87/29=3, Resulting Numbers: [56, 3] Generated Node #3: [56, 3] from Operation: 87/29=3 Current State: 59:[56, 3], Operations: ['67-38=29', '87/29=3'] Exploring Operation: 56+3=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 1, 68, 44, 6 ]
19
[ "1+68=69", "44+6=50", "69-50=19" ]
Current State: 19:[1, 68, 44, 6], Operations: [] Exploring Operation: 1+68=69, Resulting Numbers: [44, 6, 69] Generated Node #2: [44, 6, 69] from Operation: 1+68=69 Current State: 19:[44, 6, 69], Operations: ['1+68=69'] Exploring Operation: 44+6=50, Resulting Numbers: [69, 50] Generated Node #3: [69, 50] from Operation: 44+6=50 Current State: 19:[69, 50], Operations: ['1+68=69', '44+6=50'] Exploring Operation: 69-50=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 88, 97, 65, 16 ]
79
[ "97-88=9", "16*9=144", "144-65=79" ]
Current State: 79:[88, 97, 65, 16], Operations: [] Exploring Operation: 97-88=9, Resulting Numbers: [65, 16, 9] Generated Node #2: [65, 16, 9] from Operation: 97-88=9 Current State: 79:[65, 16, 9], Operations: ['97-88=9'] Exploring Operation: 16*9=144, Resulting Numbers: [65, 144] Generated Node #3: [65, 144] from Operation: 16*9=144 Current State: 79:[65, 144], Operations: ['97-88=9', '16*9=144'] Exploring Operation: 144-65=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4