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
[ 39, 91, 99, 71 ]
80
[ "91-39=52", "99-71=28", "52+28=80" ]
Current State: 80:[39, 91, 99, 71], Operations: [] Exploring Operation: 91-39=52, Resulting Numbers: [99, 71, 52] Generated Node #2: [99, 71, 52] from Operation: 91-39=52 Current State: 80:[99, 71, 52], Operations: ['91-39=52'] Exploring Operation: 99-71=28, Resulting Numbers: [52, 28] Generated Node #3: [52, 28] from Operation: 99-71=28 Current State: 80:[52, 28], Operations: ['91-39=52', '99-71=28'] Exploring Operation: 52+28=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 73, 85, 69, 83 ]
77
[ "85-83=2", "73*2=146", "146-69=77" ]
Current State: 77:[73, 85, 69, 83], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [73, 69, 2] Generated Node #2: [73, 69, 2] from Operation: 85-83=2 Current State: 77:[73, 69, 2], Operations: ['85-83=2'] Exploring Operation: 73*2=146, Resulting Numbers: [69, 146] Generated Node #3: [69, 146] from Operation: 73*2=146 Current State: 77:[69, 146], Operations: ['85-83=2', '73*2=146'] Exploring Operation: 146-69=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 75, 75, 16, 66 ]
69
[ "75-66=9", "16*9=144", "144-75=69" ]
Current State: 69:[75, 75, 16, 66], Operations: [] Exploring Operation: 75-66=9, Resulting Numbers: [16, 9] Generated Node #2: [16, 9] from Operation: 75-66=9 Current State: 69:[16, 9], Operations: ['75-66=9'] Exploring Operation: 16*9=144, Resulting Numbers: [144] 144,69 equal: Goal Reached Exploring Operation: 144-75=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 72, 34, 35, 70 ]
76
[ "72-34=38", "70/35=2", "38*2=76" ]
Current State: 76:[72, 34, 35, 70], Operations: [] Exploring Operation: 72-34=38, Resulting Numbers: [35, 70, 38] Generated Node #2: [35, 70, 38] from Operation: 72-34=38 Current State: 76:[35, 70, 38], Operations: ['72-34=38'] Exploring Operation: 70/35=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 70/35=2 Current State: 76:[38, 2], Operations: ['72-34=38', '70/35=2'] Exploring Operation: 38*2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 14, 67, 53, 41 ]
41
[ "67-14=53", "53+41=94", "94-53=41" ]
Current State: 41:[14, 67, 53, 41], Operations: [] Exploring Operation: 67-14=53, Resulting Numbers: [53, 41, 53] Generated Node #2: [53, 41, 53] from Operation: 67-14=53 Current State: 41:[53, 41, 53], Operations: ['67-14=53'] Exploring Operation: 53+41=94, Resulting Numbers: [94] 94,41 equal: Goal Reached Exploring Operation: 94-53=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 70, 52, 57, 50 ]
11
[ "70-52=18", "57-50=7", "18-7=11" ]
Current State: 11:[70, 52, 57, 50], Operations: [] Exploring Operation: 70-52=18, Resulting Numbers: [57, 50, 18] Generated Node #2: [57, 50, 18] from Operation: 70-52=18 Current State: 11:[57, 50, 18], Operations: ['70-52=18'] Exploring Operation: 57-50=7, Resulting Numbers: [18, 7] Generated Node #3: [18, 7] from Operation: 57-50=7 Current State: 11:[18, 7], Operations: ['70-52=18', '57-50=7'] Exploring Operation: 18-7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 72, 39, 60, 23 ]
44
[ "72*23=1656", "60+1656=1716", "1716/39=44" ]
Current State: 44:[72, 39, 60, 23], Operations: [] Exploring Operation: 72*23=1656, Resulting Numbers: [39, 60, 1656] Generated Node #2: [39, 60, 1656] from Operation: 72*23=1656 Current State: 44:[39, 60, 1656], Operations: ['72*23=1656'] Exploring Operation: 60+1656=1716, Resulting Numbers: [39, 1716] Generated Node #3: [39, 1716] from Operation: 60+1656=1716 Current State: 44:[39, 1716], Operations: ['72*23=1656', '60+1656=1716'] Exploring Operation: 1716/39=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 3, 12, 52, 52 ]
65
[ "12/3=4", "52/4=13", "52+13=65" ]
Current State: 65:[3, 12, 52, 52], Operations: [] Exploring Operation: 12/3=4, Resulting Numbers: [52, 52, 4] Generated Node #2: [52, 52, 4] from Operation: 12/3=4 Current State: 65:[52, 52, 4], Operations: ['12/3=4'] Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,65 equal: Goal Reached Exploring Operation: 52+13=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 70, 83, 51, 23 ]
79
[ "70+83=153", "51+23=74", "153-74=79" ]
Current State: 79:[70, 83, 51, 23], Operations: [] Exploring Operation: 70+83=153, Resulting Numbers: [51, 23, 153] Generated Node #2: [51, 23, 153] from Operation: 70+83=153 Current State: 79:[51, 23, 153], Operations: ['70+83=153'] Exploring Operation: 51+23=74, Resulting Numbers: [153, 74] Generated Node #3: [153, 74] from Operation: 51+23=74 Current State: 79:[153, 74], Operations: ['70+83=153', '51+23=74'] Exploring Operation: 153-74=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 31, 34, 4, 3 ]
17
[ "31+34=65", "3+65=68", "68/4=17" ]
Current State: 17:[31, 34, 4, 3], Operations: [] Exploring Operation: 31+34=65, Resulting Numbers: [4, 3, 65] Generated Node #2: [4, 3, 65] from Operation: 31+34=65 Current State: 17:[4, 3, 65], Operations: ['31+34=65'] Exploring Operation: 3+65=68, Resulting Numbers: [4, 68] Generated Node #3: [4, 68] from Operation: 3+65=68 Current State: 17:[4, 68], Operations: ['31+34=65', '3+65=68'] Exploring Operation: 68/4=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 84, 78, 24, 60 ]
63
[ "78-60=18", "84*18=1512", "1512/24=63" ]
Current State: 63:[84, 78, 24, 60], Operations: [] Exploring Operation: 78-60=18, Resulting Numbers: [84, 24, 18] Generated Node #2: [84, 24, 18] from Operation: 78-60=18 Current State: 63:[84, 24, 18], Operations: ['78-60=18'] Exploring Operation: 84*18=1512, Resulting Numbers: [24, 1512] Generated Node #3: [24, 1512] from Operation: 84*18=1512 Current State: 63:[24, 1512], Operations: ['78-60=18', '84*18=1512'] Exploring Operation: 1512/24=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 95, 97, 80, 46 ]
12
[ "97-95=2", "46*2=92", "92-80=12" ]
Current State: 12:[95, 97, 80, 46], Operations: [] Exploring Operation: 97-95=2, Resulting Numbers: [80, 46, 2] Generated Node #2: [80, 46, 2] from Operation: 97-95=2 Current State: 12:[80, 46, 2], Operations: ['97-95=2'] Exploring Operation: 46*2=92, Resulting Numbers: [80, 92] Generated Node #3: [80, 92] from Operation: 46*2=92 Current State: 12:[80, 92], Operations: ['97-95=2', '46*2=92'] Exploring Operation: 92-80=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 18, 19, 71, 2 ]
87
[ "71-18=53", "2*53=106", "106-19=87" ]
Current State: 87:[18, 19, 71, 2], Operations: [] Exploring Operation: 71-18=53, Resulting Numbers: [19, 2, 53] Generated Node #2: [19, 2, 53] from Operation: 71-18=53 Current State: 87:[19, 2, 53], Operations: ['71-18=53'] Exploring Operation: 2*53=106, Resulting Numbers: [19, 106] Generated Node #3: [19, 106] from Operation: 2*53=106 Current State: 87:[19, 106], Operations: ['71-18=53', '2*53=106'] Exploring Operation: 106-19=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 95, 9, 30, 92 ]
24
[ "95-9=86", "92-30=62", "86-62=24" ]
Current State: 24:[95, 9, 30, 92], Operations: [] Exploring Operation: 95-9=86, Resulting Numbers: [30, 92, 86] Generated Node #2: [30, 92, 86] from Operation: 95-9=86 Current State: 24:[30, 92, 86], Operations: ['95-9=86'] Exploring Operation: 92-30=62, Resulting Numbers: [86, 62] Generated Node #3: [86, 62] from Operation: 92-30=62 Current State: 24:[86, 62], Operations: ['95-9=86', '92-30=62'] Exploring Operation: 86-62=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 38, 52, 97, 94 ]
62
[ "97-94=3", "38*3=114", "114-52=62" ]
Current State: 62:[38, 52, 97, 94], Operations: [] Exploring Operation: 97-94=3, Resulting Numbers: [38, 52, 3] Generated Node #2: [38, 52, 3] from Operation: 97-94=3 Current State: 62:[38, 52, 3], Operations: ['97-94=3'] Exploring Operation: 38*3=114, Resulting Numbers: [52, 114] Generated Node #3: [52, 114] from Operation: 38*3=114 Current State: 62:[52, 114], Operations: ['97-94=3', '38*3=114'] Exploring Operation: 114-52=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 85, 25, 21, 54 ]
82
[ "21+54=75", "75/25=3", "85-3=82" ]
Current State: 82:[85, 25, 21, 54], Operations: [] Exploring Operation: 21+54=75, Resulting Numbers: [85, 25, 75] Generated Node #2: [85, 25, 75] from Operation: 21+54=75 Current State: 82:[85, 25, 75], Operations: ['21+54=75'] Exploring Operation: 75/25=3, Resulting Numbers: [85, 3] Generated Node #3: [85, 3] from Operation: 75/25=3 Current State: 82:[85, 3], Operations: ['21+54=75', '75/25=3'] Exploring Operation: 85-3=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 11, 81, 49, 18 ]
88
[ "18-11=7", "49/7=7", "81+7=88" ]
Current State: 88:[11, 81, 49, 18], Operations: [] Exploring Operation: 18-11=7, Resulting Numbers: [81, 49, 7] Generated Node #2: [81, 49, 7] from Operation: 18-11=7 Current State: 88:[81, 49, 7], Operations: ['18-11=7'] Exploring Operation: 49/7=7, Resulting Numbers: [81, 7] Generated Node #3: [81, 7] from Operation: 49/7=7 Current State: 88:[81, 7], Operations: ['18-11=7', '49/7=7'] Exploring Operation: 81+7=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 32, 98, 33, 91 ]
58
[ "98-32=66", "33+91=124", "124-66=58" ]
Current State: 58:[32, 98, 33, 91], Operations: [] Exploring Operation: 98-32=66, Resulting Numbers: [33, 91, 66] Generated Node #2: [33, 91, 66] from Operation: 98-32=66 Current State: 58:[33, 91, 66], Operations: ['98-32=66'] Exploring Operation: 33+91=124, Resulting Numbers: [66, 124] Generated Node #3: [66, 124] from Operation: 33+91=124 Current State: 58:[66, 124], Operations: ['98-32=66', '33+91=124'] Exploring Operation: 124-66=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 21, 61, 10, 33 ]
37
[ "61-21=40", "40/10=4", "33+4=37" ]
Current State: 37:[21, 61, 10, 33], Operations: [] Exploring Operation: 61-21=40, Resulting Numbers: [10, 33, 40] Generated Node #2: [10, 33, 40] from Operation: 61-21=40 Current State: 37:[10, 33, 40], Operations: ['61-21=40'] Exploring Operation: 40/10=4, Resulting Numbers: [33, 4] Generated Node #3: [33, 4] from Operation: 40/10=4 Current State: 37:[33, 4], Operations: ['61-21=40', '40/10=4'] Exploring Operation: 33+4=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 57, 60, 20, 76 ]
53
[ "60-57=3", "76-20=56", "56-3=53" ]
Current State: 53:[57, 60, 20, 76], Operations: [] Exploring Operation: 60-57=3, Resulting Numbers: [20, 76, 3] Generated Node #2: [20, 76, 3] from Operation: 60-57=3 Current State: 53:[20, 76, 3], Operations: ['60-57=3'] Exploring Operation: 76-20=56, Resulting Numbers: [3, 56] Generated Node #3: [3, 56] from Operation: 76-20=56 Current State: 53:[3, 56], Operations: ['60-57=3', '76-20=56'] Exploring Operation: 56-3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 51, 59, 49, 40 ]
61
[ "51*49=2499", "2499-59=2440", "2440/40=61" ]
Current State: 61:[51, 59, 49, 40], Operations: [] Exploring Operation: 51*49=2499, Resulting Numbers: [59, 40, 2499] Generated Node #2: [59, 40, 2499] from Operation: 51*49=2499 Current State: 61:[59, 40, 2499], Operations: ['51*49=2499'] Exploring Operation: 2499-59=2440, Resulting Numbers: [40, 2440] Generated Node #3: [40, 2440] from Operation: 2499-59=2440 Current State: 61:[40, 2440], Operations: ['51*49=2499', '2499-59=2440'] Exploring Operation: 2440/40=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 9, 49, 60, 28 ]
90
[ "9+49=58", "60-28=32", "58+32=90" ]
Current State: 90:[9, 49, 60, 28], Operations: [] Exploring Operation: 9+49=58, Resulting Numbers: [60, 28, 58] Generated Node #2: [60, 28, 58] from Operation: 9+49=58 Current State: 90:[60, 28, 58], Operations: ['9+49=58'] Exploring Operation: 60-28=32, Resulting Numbers: [58, 32] Generated Node #3: [58, 32] from Operation: 60-28=32 Current State: 90:[58, 32], Operations: ['9+49=58', '60-28=32'] Exploring Operation: 58+32=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 51, 73, 28, 22 ]
28
[ "73-51=22", "28+22=50", "50-22=28" ]
Current State: 28:[51, 73, 28, 22], Operations: [] Exploring Operation: 73-51=22, Resulting Numbers: [28, 22, 22] Generated Node #2: [28, 22, 22] from Operation: 73-51=22 Current State: 28:[28, 22, 22], Operations: ['73-51=22'] Exploring Operation: 28+22=50, Resulting Numbers: [50] 50,28 equal: Goal Reached Exploring Operation: 50-22=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 33, 40, 93, 26 ]
39
[ "93-33=60", "26*60=1560", "1560/40=39" ]
Current State: 39:[33, 40, 93, 26], Operations: [] Exploring Operation: 93-33=60, Resulting Numbers: [40, 26, 60] Generated Node #2: [40, 26, 60] from Operation: 93-33=60 Current State: 39:[40, 26, 60], Operations: ['93-33=60'] Exploring Operation: 26*60=1560, Resulting Numbers: [40, 1560] Generated Node #3: [40, 1560] from Operation: 26*60=1560 Current State: 39:[40, 1560], Operations: ['93-33=60', '26*60=1560'] Exploring Operation: 1560/40=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 1, 58, 81, 81 ]
56
[ "58-1=57", "81/81=1", "57-1=56" ]
Current State: 56:[1, 58, 81, 81], Operations: [] Exploring Operation: 58-1=57, Resulting Numbers: [81, 81, 57] Generated Node #2: [81, 81, 57] from Operation: 58-1=57 Current State: 56:[81, 81, 57], Operations: ['58-1=57'] Exploring Operation: 81/81=1, Resulting Numbers: [57, 1] Generated Node #3: [57, 1] from Operation: 81/81=1 Current State: 56:[57, 1], Operations: ['58-1=57', '81/81=1'] Exploring Operation: 57-1=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 76, 58, 54, 88 ]
54
[ "76-54=22", "88/22=4", "58-4=54" ]
Current State: 54:[76, 58, 54, 88], Operations: [] Exploring Operation: 76-54=22, Resulting Numbers: [58, 88, 22] Generated Node #2: [58, 88, 22] from Operation: 76-54=22 Current State: 54:[58, 88, 22], Operations: ['76-54=22'] Exploring Operation: 88/22=4, Resulting Numbers: [58, 4] Generated Node #3: [58, 4] from Operation: 88/22=4 Current State: 54:[58, 4], Operations: ['76-54=22', '88/22=4'] Exploring Operation: 58-4=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 68, 73, 28, 67 ]
46
[ "68+73=141", "28+67=95", "141-95=46" ]
Current State: 46:[68, 73, 28, 67], Operations: [] Exploring Operation: 68+73=141, Resulting Numbers: [28, 67, 141] Generated Node #2: [28, 67, 141] from Operation: 68+73=141 Current State: 46:[28, 67, 141], Operations: ['68+73=141'] Exploring Operation: 28+67=95, Resulting Numbers: [141, 95] Generated Node #3: [141, 95] from Operation: 28+67=95 Current State: 46:[141, 95], Operations: ['68+73=141', '28+67=95'] Exploring Operation: 141-95=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 95, 43, 71, 88 ]
35
[ "95-43=52", "88-71=17", "52-17=35" ]
Current State: 35:[95, 43, 71, 88], Operations: [] Exploring Operation: 95-43=52, Resulting Numbers: [71, 88, 52] Generated Node #2: [71, 88, 52] from Operation: 95-43=52 Current State: 35:[71, 88, 52], Operations: ['95-43=52'] Exploring Operation: 88-71=17, Resulting Numbers: [52, 17] Generated Node #3: [52, 17] from Operation: 88-71=17 Current State: 35:[52, 17], Operations: ['95-43=52', '88-71=17'] Exploring Operation: 52-17=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 51, 64, 18, 8 ]
25
[ "51-18=33", "64/8=8", "33-8=25" ]
Current State: 25:[51, 64, 18, 8], Operations: [] Exploring Operation: 51-18=33, Resulting Numbers: [64, 8, 33] Generated Node #2: [64, 8, 33] from Operation: 51-18=33 Current State: 25:[64, 8, 33], Operations: ['51-18=33'] Exploring Operation: 64/8=8, Resulting Numbers: [33, 8] Generated Node #3: [33, 8] from Operation: 64/8=8 Current State: 25:[33, 8], Operations: ['51-18=33', '64/8=8'] Exploring Operation: 33-8=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 8, 55, 57, 59 ]
51
[ "59-57=2", "8/2=4", "55-4=51" ]
Current State: 51:[8, 55, 57, 59], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [8, 55, 2] Generated Node #2: [8, 55, 2] from Operation: 59-57=2 Current State: 51:[8, 55, 2], Operations: ['59-57=2'] Exploring Operation: 8/2=4, Resulting Numbers: [55, 4] Generated Node #3: [55, 4] from Operation: 8/2=4 Current State: 51:[55, 4], Operations: ['59-57=2', '8/2=4'] Exploring Operation: 55-4=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 78, 79, 72, 97 ]
24
[ "79-78=1", "97-72=25", "25-1=24" ]
Current State: 24:[78, 79, 72, 97], Operations: [] Exploring Operation: 79-78=1, Resulting Numbers: [72, 97, 1] Generated Node #2: [72, 97, 1] from Operation: 79-78=1 Current State: 24:[72, 97, 1], Operations: ['79-78=1'] Exploring Operation: 97-72=25, Resulting Numbers: [1, 25] Generated Node #3: [1, 25] from Operation: 97-72=25 Current State: 24:[1, 25], Operations: ['79-78=1', '97-72=25'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 4, 2, 9, 47 ]
99
[ "9-4=5", "2*47=94", "5+94=99" ]
Current State: 99:[4, 2, 9, 47], Operations: [] Exploring Operation: 9-4=5, Resulting Numbers: [2, 47, 5] Generated Node #2: [2, 47, 5] from Operation: 9-4=5 Current State: 99:[2, 47, 5], Operations: ['9-4=5'] Exploring Operation: 2*47=94, Resulting Numbers: [5, 94] Generated Node #3: [5, 94] from Operation: 2*47=94 Current State: 99:[5, 94], Operations: ['9-4=5', '2*47=94'] Exploring Operation: 5+94=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 50, 57, 6, 21 ]
53
[ "57+6=63", "63/21=3", "50+3=53" ]
Current State: 53:[50, 57, 6, 21], Operations: [] Exploring Operation: 57+6=63, Resulting Numbers: [50, 21, 63] Generated Node #2: [50, 21, 63] from Operation: 57+6=63 Current State: 53:[50, 21, 63], Operations: ['57+6=63'] Exploring Operation: 63/21=3, Resulting Numbers: [50, 3] Generated Node #3: [50, 3] from Operation: 63/21=3 Current State: 53:[50, 3], Operations: ['57+6=63', '63/21=3'] Exploring Operation: 50+3=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 31, 19, 52, 77 ]
79
[ "31+19=50", "52+77=129", "129-50=79" ]
Current State: 79:[31, 19, 52, 77], Operations: [] Exploring Operation: 31+19=50, Resulting Numbers: [52, 77, 50] Generated Node #2: [52, 77, 50] from Operation: 31+19=50 Current State: 79:[52, 77, 50], Operations: ['31+19=50'] Exploring Operation: 52+77=129, Resulting Numbers: [50, 129] Generated Node #3: [50, 129] from Operation: 52+77=129 Current State: 79:[50, 129], Operations: ['31+19=50', '52+77=129'] Exploring Operation: 129-50=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 42, 48, 11, 63 ]
80
[ "48-42=6", "11+63=74", "6+74=80" ]
Current State: 80:[42, 48, 11, 63], Operations: [] Exploring Operation: 48-42=6, Resulting Numbers: [11, 63, 6] Generated Node #2: [11, 63, 6] from Operation: 48-42=6 Current State: 80:[11, 63, 6], Operations: ['48-42=6'] Exploring Operation: 11+63=74, Resulting Numbers: [6, 74] Generated Node #3: [6, 74] from Operation: 11+63=74 Current State: 80:[6, 74], Operations: ['48-42=6', '11+63=74'] Exploring Operation: 6+74=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 22, 21, 9, 49 ]
43
[ "9*49=441", "441/21=21", "22+21=43" ]
Current State: 43:[22, 21, 9, 49], Operations: [] Exploring Operation: 9*49=441, Resulting Numbers: [22, 21, 441] Generated Node #2: [22, 21, 441] from Operation: 9*49=441 Current State: 43:[22, 21, 441], Operations: ['9*49=441'] Exploring Operation: 441/21=21, Resulting Numbers: [22, 21] Generated Node #3: [22, 21] from Operation: 441/21=21 Current State: 43:[22, 21], Operations: ['9*49=441', '441/21=21'] Exploring Operation: 22+21=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 11, 97, 12, 66 ]
99
[ "11*12=132", "132/66=2", "97+2=99" ]
Current State: 99:[11, 97, 12, 66], Operations: [] Exploring Operation: 11*12=132, Resulting Numbers: [97, 66, 132] Generated Node #2: [97, 66, 132] from Operation: 11*12=132 Current State: 99:[97, 66, 132], Operations: ['11*12=132'] Exploring Operation: 132/66=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 132/66=2 Current State: 99:[97, 2], Operations: ['11*12=132', '132/66=2'] Exploring Operation: 97+2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 98, 94, 51, 88 ]
29
[ "98-94=4", "88/4=22", "51-22=29" ]
Current State: 29:[98, 94, 51, 88], Operations: [] Exploring Operation: 98-94=4, Resulting Numbers: [51, 88, 4] Generated Node #2: [51, 88, 4] from Operation: 98-94=4 Current State: 29:[51, 88, 4], Operations: ['98-94=4'] Exploring Operation: 88/4=22, Resulting Numbers: [51, 22] Generated Node #3: [51, 22] from Operation: 88/4=22 Current State: 29:[51, 22], Operations: ['98-94=4', '88/4=22'] Exploring Operation: 51-22=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 43, 48, 77, 4 ]
57
[ "48-43=5", "4*5=20", "77-20=57" ]
Current State: 57:[43, 48, 77, 4], Operations: [] Exploring Operation: 48-43=5, Resulting Numbers: [77, 4, 5] Generated Node #2: [77, 4, 5] from Operation: 48-43=5 Current State: 57:[77, 4, 5], Operations: ['48-43=5'] Exploring Operation: 4*5=20, Resulting Numbers: [77, 20] Generated Node #3: [77, 20] from Operation: 4*5=20 Current State: 57:[77, 20], Operations: ['48-43=5', '4*5=20'] Exploring Operation: 77-20=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 12, 20, 89, 40 ]
99
[ "12+89=101", "40/20=2", "101-2=99" ]
Current State: 99:[12, 20, 89, 40], Operations: [] Exploring Operation: 12+89=101, Resulting Numbers: [20, 40, 101] Generated Node #2: [20, 40, 101] from Operation: 12+89=101 Current State: 99:[20, 40, 101], Operations: ['12+89=101'] Exploring Operation: 40/20=2, Resulting Numbers: [101, 2] Generated Node #3: [101, 2] from Operation: 40/20=2 Current State: 99:[101, 2], Operations: ['12+89=101', '40/20=2'] Exploring Operation: 101-2=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 63, 64, 21, 15 ]
37
[ "64-63=1", "21+15=36", "1+36=37" ]
Current State: 37:[63, 64, 21, 15], Operations: [] Exploring Operation: 64-63=1, Resulting Numbers: [21, 15, 1] Generated Node #2: [21, 15, 1] from Operation: 64-63=1 Current State: 37:[21, 15, 1], Operations: ['64-63=1'] Exploring Operation: 21+15=36, Resulting Numbers: [1, 36] Generated Node #3: [1, 36] from Operation: 21+15=36 Current State: 37:[1, 36], Operations: ['64-63=1', '21+15=36'] Exploring Operation: 1+36=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 2, 58, 55, 99 ]
28
[ "58+55=113", "113-99=14", "2*14=28" ]
Current State: 28:[2, 58, 55, 99], Operations: [] Exploring Operation: 58+55=113, Resulting Numbers: [2, 99, 113] Generated Node #2: [2, 99, 113] from Operation: 58+55=113 Current State: 28:[2, 99, 113], Operations: ['58+55=113'] Exploring Operation: 113-99=14, Resulting Numbers: [2, 14] Generated Node #3: [2, 14] from Operation: 113-99=14 Current State: 28:[2, 14], Operations: ['58+55=113', '113-99=14'] Exploring Operation: 2*14=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 84, 80, 74, 26 ]
44
[ "84-80=4", "74-26=48", "48-4=44" ]
Current State: 44:[84, 80, 74, 26], Operations: [] Exploring Operation: 84-80=4, Resulting Numbers: [74, 26, 4] Generated Node #2: [74, 26, 4] from Operation: 84-80=4 Current State: 44:[74, 26, 4], Operations: ['84-80=4'] Exploring Operation: 74-26=48, Resulting Numbers: [4, 48] Generated Node #3: [4, 48] from Operation: 74-26=48 Current State: 44:[4, 48], Operations: ['84-80=4', '74-26=48'] Exploring Operation: 48-4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 97, 18, 31, 49 ]
35
[ "97+18=115", "31+49=80", "115-80=35" ]
Current State: 35:[97, 18, 31, 49], Operations: [] Exploring Operation: 97+18=115, Resulting Numbers: [31, 49, 115] Generated Node #2: [31, 49, 115] from Operation: 97+18=115 Current State: 35:[31, 49, 115], Operations: ['97+18=115'] Exploring Operation: 31+49=80, Resulting Numbers: [115, 80] Generated Node #3: [115, 80] from Operation: 31+49=80 Current State: 35:[115, 80], Operations: ['97+18=115', '31+49=80'] Exploring Operation: 115-80=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 64, 23, 15, 87 ]
61
[ "64-23=41", "15+87=102", "102-41=61" ]
Current State: 61:[64, 23, 15, 87], Operations: [] Exploring Operation: 64-23=41, Resulting Numbers: [15, 87, 41] Generated Node #2: [15, 87, 41] from Operation: 64-23=41 Current State: 61:[15, 87, 41], Operations: ['64-23=41'] Exploring Operation: 15+87=102, Resulting Numbers: [41, 102] Generated Node #3: [41, 102] from Operation: 15+87=102 Current State: 61:[41, 102], Operations: ['64-23=41', '15+87=102'] Exploring Operation: 102-41=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 11, 85, 25, 78 ]
88
[ "85+25=110", "110/11=10", "78+10=88" ]
Current State: 88:[11, 85, 25, 78], Operations: [] Exploring Operation: 85+25=110, Resulting Numbers: [11, 78, 110] Generated Node #2: [11, 78, 110] from Operation: 85+25=110 Current State: 88:[11, 78, 110], Operations: ['85+25=110'] Exploring Operation: 110/11=10, Resulting Numbers: [78, 10] Generated Node #3: [78, 10] from Operation: 110/11=10 Current State: 88:[78, 10], Operations: ['85+25=110', '110/11=10'] Exploring Operation: 78+10=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 1, 71, 7, 67 ]
23
[ "7-1=6", "71+67=138", "138/6=23" ]
Current State: 23:[1, 71, 7, 67], Operations: [] Exploring Operation: 7-1=6, Resulting Numbers: [71, 67, 6] Generated Node #2: [71, 67, 6] from Operation: 7-1=6 Current State: 23:[71, 67, 6], Operations: ['7-1=6'] Exploring Operation: 71+67=138, Resulting Numbers: [6, 138] Generated Node #3: [6, 138] from Operation: 71+67=138 Current State: 23:[6, 138], Operations: ['7-1=6', '71+67=138'] Exploring Operation: 138/6=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 93, 79, 10, 23 ]
90
[ "93-79=14", "23-14=9", "10*9=90" ]
Current State: 90:[93, 79, 10, 23], Operations: [] Exploring Operation: 93-79=14, Resulting Numbers: [10, 23, 14] Generated Node #2: [10, 23, 14] from Operation: 93-79=14 Current State: 90:[10, 23, 14], Operations: ['93-79=14'] Exploring Operation: 23-14=9, Resulting Numbers: [10, 9] Generated Node #3: [10, 9] from Operation: 23-14=9 Current State: 90:[10, 9], Operations: ['93-79=14', '23-14=9'] Exploring Operation: 10*9=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 74, 9, 6, 15 ]
92
[ "74+9=83", "15-6=9", "83+9=92" ]
Current State: 92:[74, 9, 6, 15], Operations: [] Exploring Operation: 74+9=83, Resulting Numbers: [6, 15, 83] Generated Node #2: [6, 15, 83] from Operation: 74+9=83 Current State: 92:[6, 15, 83], Operations: ['74+9=83'] Exploring Operation: 15-6=9, Resulting Numbers: [83, 9] Generated Node #3: [83, 9] from Operation: 15-6=9 Current State: 92:[83, 9], Operations: ['74+9=83', '15-6=9'] Exploring Operation: 83+9=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 1, 97, 20, 2 ]
38
[ "97-1=96", "96-20=76", "76/2=38" ]
Current State: 38:[1, 97, 20, 2], Operations: [] Exploring Operation: 97-1=96, Resulting Numbers: [20, 2, 96] Generated Node #2: [20, 2, 96] from Operation: 97-1=96 Current State: 38:[20, 2, 96], Operations: ['97-1=96'] Exploring Operation: 96-20=76, Resulting Numbers: [2, 76] Generated Node #3: [2, 76] from Operation: 96-20=76 Current State: 38:[2, 76], Operations: ['97-1=96', '96-20=76'] Exploring Operation: 76/2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 2, 98, 97, 8 ]
17
[ "2*8=16", "98-97=1", "16+1=17" ]
Current State: 17:[2, 98, 97, 8], Operations: [] Exploring Operation: 2*8=16, Resulting Numbers: [98, 97, 16] Generated Node #2: [98, 97, 16] from Operation: 2*8=16 Current State: 17:[98, 97, 16], Operations: ['2*8=16'] Exploring Operation: 98-97=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 98-97=1 Current State: 17:[16, 1], Operations: ['2*8=16', '98-97=1'] Exploring Operation: 16+1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 50, 23, 78, 18 ]
52
[ "50-23=27", "78*18=1404", "1404/27=52" ]
Current State: 52:[50, 23, 78, 18], Operations: [] Exploring Operation: 50-23=27, Resulting Numbers: [78, 18, 27] Generated Node #2: [78, 18, 27] from Operation: 50-23=27 Current State: 52:[78, 18, 27], Operations: ['50-23=27'] Exploring Operation: 78*18=1404, Resulting Numbers: [27, 1404] Generated Node #3: [27, 1404] from Operation: 78*18=1404 Current State: 52:[27, 1404], Operations: ['50-23=27', '78*18=1404'] Exploring Operation: 1404/27=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 12, 51, 40, 50 ]
49
[ "51-12=39", "50-40=10", "39+10=49" ]
Current State: 49:[12, 51, 40, 50], Operations: [] Exploring Operation: 51-12=39, Resulting Numbers: [40, 50, 39] Generated Node #2: [40, 50, 39] from Operation: 51-12=39 Current State: 49:[40, 50, 39], Operations: ['51-12=39'] Exploring Operation: 50-40=10, Resulting Numbers: [39, 10] Generated Node #3: [39, 10] from Operation: 50-40=10 Current State: 49:[39, 10], Operations: ['51-12=39', '50-40=10'] Exploring Operation: 39+10=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 22, 81, 15, 2 ]
59
[ "22+81=103", "15+103=118", "118/2=59" ]
Current State: 59:[22, 81, 15, 2], Operations: [] Exploring Operation: 22+81=103, Resulting Numbers: [15, 2, 103] Generated Node #2: [15, 2, 103] from Operation: 22+81=103 Current State: 59:[15, 2, 103], Operations: ['22+81=103'] Exploring Operation: 15+103=118, Resulting Numbers: [2, 118] Generated Node #3: [2, 118] from Operation: 15+103=118 Current State: 59:[2, 118], Operations: ['22+81=103', '15+103=118'] Exploring Operation: 118/2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 71, 47, 28, 9 ]
61
[ "71-47=24", "28+9=37", "24+37=61" ]
Current State: 61:[71, 47, 28, 9], Operations: [] Exploring Operation: 71-47=24, Resulting Numbers: [28, 9, 24] Generated Node #2: [28, 9, 24] from Operation: 71-47=24 Current State: 61:[28, 9, 24], Operations: ['71-47=24'] Exploring Operation: 28+9=37, Resulting Numbers: [24, 37] Generated Node #3: [24, 37] from Operation: 28+9=37 Current State: 61:[24, 37], Operations: ['71-47=24', '28+9=37'] Exploring Operation: 24+37=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 24, 22, 28, 68 ]
54
[ "24-22=2", "28/2=14", "68-14=54" ]
Current State: 54:[24, 22, 28, 68], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [28, 68, 2] Generated Node #2: [28, 68, 2] from Operation: 24-22=2 Current State: 54:[28, 68, 2], Operations: ['24-22=2'] Exploring Operation: 28/2=14, Resulting Numbers: [68, 14] Generated Node #3: [68, 14] from Operation: 28/2=14 Current State: 54:[68, 14], Operations: ['24-22=2', '28/2=14'] Exploring Operation: 68-14=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 3, 6, 75, 11 ]
30
[ "75/3=25", "11-6=5", "25+5=30" ]
Current State: 30:[3, 6, 75, 11], Operations: [] Exploring Operation: 75/3=25, Resulting Numbers: [6, 11, 25] Generated Node #2: [6, 11, 25] from Operation: 75/3=25 Current State: 30:[6, 11, 25], Operations: ['75/3=25'] Exploring Operation: 11-6=5, Resulting Numbers: [25, 5] Generated Node #3: [25, 5] from Operation: 11-6=5 Current State: 30:[25, 5], Operations: ['75/3=25', '11-6=5'] Exploring Operation: 25+5=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 86, 48, 4, 89 ]
47
[ "86-48=38", "89-4=85", "85-38=47" ]
Current State: 47:[86, 48, 4, 89], Operations: [] Exploring Operation: 86-48=38, Resulting Numbers: [4, 89, 38] Generated Node #2: [4, 89, 38] from Operation: 86-48=38 Current State: 47:[4, 89, 38], Operations: ['86-48=38'] Exploring Operation: 89-4=85, Resulting Numbers: [38, 85] Generated Node #3: [38, 85] from Operation: 89-4=85 Current State: 47:[38, 85], Operations: ['86-48=38', '89-4=85'] Exploring Operation: 85-38=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 58, 61, 52, 98 ]
73
[ "58+61=119", "98-52=46", "119-46=73" ]
Current State: 73:[58, 61, 52, 98], Operations: [] Exploring Operation: 58+61=119, Resulting Numbers: [52, 98, 119] Generated Node #2: [52, 98, 119] from Operation: 58+61=119 Current State: 73:[52, 98, 119], Operations: ['58+61=119'] Exploring Operation: 98-52=46, Resulting Numbers: [119, 46] Generated Node #3: [119, 46] from Operation: 98-52=46 Current State: 73:[119, 46], Operations: ['58+61=119', '98-52=46'] Exploring Operation: 119-46=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 10, 31, 49, 18 ]
88
[ "31-10=21", "49+18=67", "21+67=88" ]
Current State: 88:[10, 31, 49, 18], Operations: [] Exploring Operation: 31-10=21, Resulting Numbers: [49, 18, 21] Generated Node #2: [49, 18, 21] from Operation: 31-10=21 Current State: 88:[49, 18, 21], Operations: ['31-10=21'] Exploring Operation: 49+18=67, Resulting Numbers: [21, 67] Generated Node #3: [21, 67] from Operation: 49+18=67 Current State: 88:[21, 67], Operations: ['31-10=21', '49+18=67'] Exploring Operation: 21+67=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 68, 98, 48, 52 ]
81
[ "52-48=4", "68/4=17", "98-17=81" ]
Current State: 81:[68, 98, 48, 52], Operations: [] Exploring Operation: 52-48=4, Resulting Numbers: [68, 98, 4] Generated Node #2: [68, 98, 4] from Operation: 52-48=4 Current State: 81:[68, 98, 4], Operations: ['52-48=4'] Exploring Operation: 68/4=17, Resulting Numbers: [98, 17] Generated Node #3: [98, 17] from Operation: 68/4=17 Current State: 81:[98, 17], Operations: ['52-48=4', '68/4=17'] Exploring Operation: 98-17=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 55, 23, 30, 17 ]
11
[ "23-17=6", "55*6=330", "330/30=11" ]
Current State: 11:[55, 23, 30, 17], Operations: [] Exploring Operation: 23-17=6, Resulting Numbers: [55, 30, 6] Generated Node #2: [55, 30, 6] from Operation: 23-17=6 Current State: 11:[55, 30, 6], Operations: ['23-17=6'] Exploring Operation: 55*6=330, Resulting Numbers: [30, 330] Generated Node #3: [30, 330] from Operation: 55*6=330 Current State: 11:[30, 330], Operations: ['23-17=6', '55*6=330'] Exploring Operation: 330/30=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 9, 29, 3, 30 ]
77
[ "9*29=261", "261-30=231", "231/3=77" ]
Current State: 77:[9, 29, 3, 30], Operations: [] Exploring Operation: 9*29=261, Resulting Numbers: [3, 30, 261] Generated Node #2: [3, 30, 261] from Operation: 9*29=261 Current State: 77:[3, 30, 261], Operations: ['9*29=261'] Exploring Operation: 261-30=231, Resulting Numbers: [3, 231] Generated Node #3: [3, 231] from Operation: 261-30=231 Current State: 77:[3, 231], Operations: ['9*29=261', '261-30=231'] Exploring Operation: 231/3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 82, 70, 72, 91 ]
78
[ "91-82=9", "72/9=8", "70+8=78" ]
Current State: 78:[82, 70, 72, 91], Operations: [] Exploring Operation: 91-82=9, Resulting Numbers: [70, 72, 9] Generated Node #2: [70, 72, 9] from Operation: 91-82=9 Current State: 78:[70, 72, 9], Operations: ['91-82=9'] Exploring Operation: 72/9=8, Resulting Numbers: [70, 8] Generated Node #3: [70, 8] from Operation: 72/9=8 Current State: 78:[70, 8], Operations: ['91-82=9', '72/9=8'] Exploring Operation: 70+8=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 43, 85, 37, 89 ]
84
[ "85-43=42", "37+89=126", "126-42=84" ]
Current State: 84:[43, 85, 37, 89], Operations: [] Exploring Operation: 85-43=42, Resulting Numbers: [37, 89, 42] Generated Node #2: [37, 89, 42] from Operation: 85-43=42 Current State: 84:[37, 89, 42], Operations: ['85-43=42'] Exploring Operation: 37+89=126, Resulting Numbers: [42, 126] Generated Node #3: [42, 126] from Operation: 37+89=126 Current State: 84:[42, 126], Operations: ['85-43=42', '37+89=126'] Exploring Operation: 126-42=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 55, 68, 89, 60 ]
42
[ "68-55=13", "89-60=29", "13+29=42" ]
Current State: 42:[55, 68, 89, 60], Operations: [] Exploring Operation: 68-55=13, Resulting Numbers: [89, 60, 13] Generated Node #2: [89, 60, 13] from Operation: 68-55=13 Current State: 42:[89, 60, 13], Operations: ['68-55=13'] Exploring Operation: 89-60=29, Resulting Numbers: [13, 29] Generated Node #3: [13, 29] from Operation: 89-60=29 Current State: 42:[13, 29], Operations: ['68-55=13', '89-60=29'] Exploring Operation: 13+29=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 8, 87, 10, 11 ]
10
[ "8*11=88", "88-87=1", "10*1=10" ]
Current State: 10:[8, 87, 10, 11], Operations: [] Exploring Operation: 8*11=88, Resulting Numbers: [87, 10, 88] Generated Node #2: [87, 10, 88] from Operation: 8*11=88 Current State: 10:[87, 10, 88], Operations: ['8*11=88'] Exploring Operation: 88-87=1, Resulting Numbers: [10, 1] Generated Node #3: [10, 1] from Operation: 88-87=1 Current State: 10:[10, 1], Operations: ['8*11=88', '88-87=1'] Exploring Operation: 10*1=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 46, 43, 14, 46 ]
14
[ "46-46=0", "43*0=0", "14+0=14" ]
Current State: 14:[46, 43, 14, 46], Operations: [] Exploring Operation: 46-46=0, Resulting Numbers: [43, 14, 0] Generated Node #2: [43, 14, 0] from Operation: 46-46=0 Current State: 14:[43, 14, 0], Operations: ['46-46=0'] Exploring Operation: 43*0=0, Resulting Numbers: [14, 0] Generated Node #3: [14, 0] from Operation: 43*0=0 Current State: 14:[14, 0], Operations: ['46-46=0', '43*0=0'] Exploring Operation: 14+0=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 8, 27, 99, 81 ]
37
[ "27-8=19", "99-81=18", "19+18=37" ]
Current State: 37:[8, 27, 99, 81], Operations: [] Exploring Operation: 27-8=19, Resulting Numbers: [99, 81, 19] Generated Node #2: [99, 81, 19] from Operation: 27-8=19 Current State: 37:[99, 81, 19], Operations: ['27-8=19'] Exploring Operation: 99-81=18, Resulting Numbers: [19, 18] Generated Node #3: [19, 18] from Operation: 99-81=18 Current State: 37:[19, 18], Operations: ['27-8=19', '99-81=18'] Exploring Operation: 19+18=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 30, 76, 3, 36 ]
78
[ "36-30=6", "6/3=2", "76+2=78" ]
Current State: 78:[30, 76, 3, 36], Operations: [] Exploring Operation: 36-30=6, Resulting Numbers: [76, 3, 6] Generated Node #2: [76, 3, 6] from Operation: 36-30=6 Current State: 78:[76, 3, 6], Operations: ['36-30=6'] Exploring Operation: 6/3=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 6/3=2 Current State: 78:[76, 2], Operations: ['36-30=6', '6/3=2'] Exploring Operation: 76+2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 10, 26, 70, 61 ]
64
[ "70-61=9", "10*9=90", "90-26=64" ]
Current State: 64:[10, 26, 70, 61], Operations: [] Exploring Operation: 70-61=9, Resulting Numbers: [10, 26, 9] Generated Node #2: [10, 26, 9] from Operation: 70-61=9 Current State: 64:[10, 26, 9], Operations: ['70-61=9'] Exploring Operation: 10*9=90, Resulting Numbers: [26, 90] Generated Node #3: [26, 90] from Operation: 10*9=90 Current State: 64:[26, 90], Operations: ['70-61=9', '10*9=90'] Exploring Operation: 90-26=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 57, 94, 11, 31 ]
17
[ "94-57=37", "31-11=20", "37-20=17" ]
Current State: 17:[57, 94, 11, 31], Operations: [] Exploring Operation: 94-57=37, Resulting Numbers: [11, 31, 37] Generated Node #2: [11, 31, 37] from Operation: 94-57=37 Current State: 17:[11, 31, 37], Operations: ['94-57=37'] Exploring Operation: 31-11=20, Resulting Numbers: [37, 20] Generated Node #3: [37, 20] from Operation: 31-11=20 Current State: 17:[37, 20], Operations: ['94-57=37', '31-11=20'] Exploring Operation: 37-20=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 34, 51, 2, 71 ]
46
[ "71-2=69", "34*69=2346", "2346/51=46" ]
Current State: 46:[34, 51, 2, 71], Operations: [] Exploring Operation: 71-2=69, Resulting Numbers: [34, 51, 69] Generated Node #2: [34, 51, 69] from Operation: 71-2=69 Current State: 46:[34, 51, 69], Operations: ['71-2=69'] Exploring Operation: 34*69=2346, Resulting Numbers: [51, 2346] Generated Node #3: [51, 2346] from Operation: 34*69=2346 Current State: 46:[51, 2346], Operations: ['71-2=69', '34*69=2346'] Exploring Operation: 2346/51=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 7, 58, 62, 39 ]
13
[ "7+58=65", "65-62=3", "39/3=13" ]
Current State: 13:[7, 58, 62, 39], Operations: [] Exploring Operation: 7+58=65, Resulting Numbers: [62, 39, 65] Generated Node #2: [62, 39, 65] from Operation: 7+58=65 Current State: 13:[62, 39, 65], Operations: ['7+58=65'] Exploring Operation: 65-62=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 65-62=3 Current State: 13:[39, 3], Operations: ['7+58=65', '65-62=3'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 46, 19, 7, 4 ]
91
[ "46-4=42", "19*7=133", "133-42=91" ]
Current State: 91:[46, 19, 7, 4], Operations: [] Exploring Operation: 46-4=42, Resulting Numbers: [19, 7, 42] Generated Node #2: [19, 7, 42] from Operation: 46-4=42 Current State: 91:[19, 7, 42], Operations: ['46-4=42'] Exploring Operation: 19*7=133, Resulting Numbers: [42, 133] Generated Node #3: [42, 133] from Operation: 19*7=133 Current State: 91:[42, 133], Operations: ['46-4=42', '19*7=133'] Exploring Operation: 133-42=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 13, 36, 41, 75 ]
44
[ "75-36=39", "39/13=3", "41+3=44" ]
Current State: 44:[13, 36, 41, 75], Operations: [] Exploring Operation: 75-36=39, Resulting Numbers: [13, 41, 39] Generated Node #2: [13, 41, 39] from Operation: 75-36=39 Current State: 44:[13, 41, 39], Operations: ['75-36=39'] Exploring Operation: 39/13=3, Resulting Numbers: [41, 3] Generated Node #3: [41, 3] from Operation: 39/13=3 Current State: 44:[41, 3], Operations: ['75-36=39', '39/13=3'] Exploring Operation: 41+3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 87, 56, 68, 18 ]
19
[ "87-56=31", "68-18=50", "50-31=19" ]
Current State: 19:[87, 56, 68, 18], Operations: [] Exploring Operation: 87-56=31, Resulting Numbers: [68, 18, 31] Generated Node #2: [68, 18, 31] from Operation: 87-56=31 Current State: 19:[68, 18, 31], Operations: ['87-56=31'] Exploring Operation: 68-18=50, Resulting Numbers: [31, 50] Generated Node #3: [31, 50] from Operation: 68-18=50 Current State: 19:[31, 50], Operations: ['87-56=31', '68-18=50'] Exploring Operation: 50-31=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 13, 16, 29, 23 ]
87
[ "16+23=39", "39/13=3", "29*3=87" ]
Current State: 87:[13, 16, 29, 23], Operations: [] Exploring Operation: 16+23=39, Resulting Numbers: [13, 29, 39] Generated Node #2: [13, 29, 39] from Operation: 16+23=39 Current State: 87:[13, 29, 39], Operations: ['16+23=39'] Exploring Operation: 39/13=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 39/13=3 Current State: 87:[29, 3], Operations: ['16+23=39', '39/13=3'] Exploring Operation: 29*3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 90, 15, 46, 30 ]
90
[ "46-15=31", "31-30=1", "90*1=90" ]
Current State: 90:[90, 15, 46, 30], Operations: [] Exploring Operation: 46-15=31, Resulting Numbers: [90, 30, 31] Generated Node #2: [90, 30, 31] from Operation: 46-15=31 Current State: 90:[90, 30, 31], Operations: ['46-15=31'] Exploring Operation: 31-30=1, Resulting Numbers: [90, 1] Generated Node #3: [90, 1] from Operation: 31-30=1 Current State: 90:[90, 1], Operations: ['46-15=31', '31-30=1'] Exploring Operation: 90*1=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 30, 9, 73, 84 ]
50
[ "30+9=39", "84-73=11", "39+11=50" ]
Current State: 50:[30, 9, 73, 84], Operations: [] Exploring Operation: 30+9=39, Resulting Numbers: [73, 84, 39] Generated Node #2: [73, 84, 39] from Operation: 30+9=39 Current State: 50:[73, 84, 39], Operations: ['30+9=39'] Exploring Operation: 84-73=11, Resulting Numbers: [39, 11] Generated Node #3: [39, 11] from Operation: 84-73=11 Current State: 50:[39, 11], Operations: ['30+9=39', '84-73=11'] Exploring Operation: 39+11=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 38, 87, 10, 72 ]
76
[ "38+72=110", "110/10=11", "87-11=76" ]
Current State: 76:[38, 87, 10, 72], Operations: [] Exploring Operation: 38+72=110, Resulting Numbers: [87, 10, 110] Generated Node #2: [87, 10, 110] from Operation: 38+72=110 Current State: 76:[87, 10, 110], Operations: ['38+72=110'] Exploring Operation: 110/10=11, Resulting Numbers: [87, 11] Generated Node #3: [87, 11] from Operation: 110/10=11 Current State: 76:[87, 11], Operations: ['38+72=110', '110/10=11'] Exploring Operation: 87-11=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 35, 11, 41, 23 ]
82
[ "35+11=46", "41*46=1886", "1886/23=82" ]
Current State: 82:[35, 11, 41, 23], Operations: [] Exploring Operation: 35+11=46, Resulting Numbers: [41, 23, 46] Generated Node #2: [41, 23, 46] from Operation: 35+11=46 Current State: 82:[41, 23, 46], Operations: ['35+11=46'] Exploring Operation: 41*46=1886, Resulting Numbers: [23, 1886] Generated Node #3: [23, 1886] from Operation: 41*46=1886 Current State: 82:[23, 1886], Operations: ['35+11=46', '41*46=1886'] Exploring Operation: 1886/23=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 81, 95, 67, 27 ]
80
[ "95-81=14", "67+27=94", "94-14=80" ]
Current State: 80:[81, 95, 67, 27], Operations: [] Exploring Operation: 95-81=14, Resulting Numbers: [67, 27, 14] Generated Node #2: [67, 27, 14] from Operation: 95-81=14 Current State: 80:[67, 27, 14], Operations: ['95-81=14'] Exploring Operation: 67+27=94, Resulting Numbers: [14, 94] Generated Node #3: [14, 94] from Operation: 67+27=94 Current State: 80:[14, 94], Operations: ['95-81=14', '67+27=94'] Exploring Operation: 94-14=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 90, 42, 2, 67 ]
40
[ "67-42=25", "2*25=50", "90-50=40" ]
Current State: 40:[90, 42, 2, 67], Operations: [] Exploring Operation: 67-42=25, Resulting Numbers: [90, 2, 25] Generated Node #2: [90, 2, 25] from Operation: 67-42=25 Current State: 40:[90, 2, 25], Operations: ['67-42=25'] Exploring Operation: 2*25=50, Resulting Numbers: [90, 50] Generated Node #3: [90, 50] from Operation: 2*25=50 Current State: 40:[90, 50], Operations: ['67-42=25', '2*25=50'] Exploring Operation: 90-50=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 3, 14, 98, 98 ]
43
[ "3*14=42", "98/98=1", "42+1=43" ]
Current State: 43:[3, 14, 98, 98], Operations: [] Exploring Operation: 3*14=42, Resulting Numbers: [98, 98, 42] Generated Node #2: [98, 98, 42] from Operation: 3*14=42 Current State: 43:[98, 98, 42], Operations: ['3*14=42'] Exploring Operation: 98/98=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 98/98=1 Current State: 43:[42, 1], Operations: ['3*14=42', '98/98=1'] Exploring Operation: 42+1=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 91, 3, 21, 68 ]
92
[ "91+21=112", "3*68=204", "204-112=92" ]
Current State: 92:[91, 3, 21, 68], Operations: [] Exploring Operation: 91+21=112, Resulting Numbers: [3, 68, 112] Generated Node #2: [3, 68, 112] from Operation: 91+21=112 Current State: 92:[3, 68, 112], Operations: ['91+21=112'] Exploring Operation: 3*68=204, Resulting Numbers: [112, 204] Generated Node #3: [112, 204] from Operation: 3*68=204 Current State: 92:[112, 204], Operations: ['91+21=112', '3*68=204'] Exploring Operation: 204-112=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 27, 2, 20, 50 ]
24
[ "27*2=54", "50-20=30", "54-30=24" ]
Current State: 24:[27, 2, 20, 50], Operations: [] Exploring Operation: 27*2=54, Resulting Numbers: [20, 50, 54] Generated Node #2: [20, 50, 54] from Operation: 27*2=54 Current State: 24:[20, 50, 54], Operations: ['27*2=54'] Exploring Operation: 50-20=30, Resulting Numbers: [54, 30] Generated Node #3: [54, 30] from Operation: 50-20=30 Current State: 24:[54, 30], Operations: ['27*2=54', '50-20=30'] Exploring Operation: 54-30=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 53, 61, 6, 38 ]
18
[ "53+61=114", "6*114=684", "684/38=18" ]
Current State: 18:[53, 61, 6, 38], Operations: [] Exploring Operation: 53+61=114, Resulting Numbers: [6, 38, 114] Generated Node #2: [6, 38, 114] from Operation: 53+61=114 Current State: 18:[6, 38, 114], Operations: ['53+61=114'] Exploring Operation: 6*114=684, Resulting Numbers: [38, 684] Generated Node #3: [38, 684] from Operation: 6*114=684 Current State: 18:[38, 684], Operations: ['53+61=114', '6*114=684'] Exploring Operation: 684/38=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 4, 88, 80, 57 ]
45
[ "4+88=92", "80+57=137", "137-92=45" ]
Current State: 45:[4, 88, 80, 57], Operations: [] Exploring Operation: 4+88=92, Resulting Numbers: [80, 57, 92] Generated Node #2: [80, 57, 92] from Operation: 4+88=92 Current State: 45:[80, 57, 92], Operations: ['4+88=92'] Exploring Operation: 80+57=137, Resulting Numbers: [92, 137] Generated Node #3: [92, 137] from Operation: 80+57=137 Current State: 45:[92, 137], Operations: ['4+88=92', '80+57=137'] Exploring Operation: 137-92=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 43, 87, 46, 11 ]
40
[ "46-43=3", "87/3=29", "11+29=40" ]
Current State: 40:[43, 87, 46, 11], Operations: [] Exploring Operation: 46-43=3, Resulting Numbers: [87, 11, 3] Generated Node #2: [87, 11, 3] from Operation: 46-43=3 Current State: 40:[87, 11, 3], Operations: ['46-43=3'] Exploring Operation: 87/3=29, Resulting Numbers: [11, 29] Generated Node #3: [11, 29] from Operation: 87/3=29 Current State: 40:[11, 29], Operations: ['46-43=3', '87/3=29'] Exploring Operation: 11+29=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 9, 16, 35, 48 ]
29
[ "35-9=26", "48/16=3", "26+3=29" ]
Current State: 29:[9, 16, 35, 48], Operations: [] Exploring Operation: 35-9=26, Resulting Numbers: [16, 48, 26] Generated Node #2: [16, 48, 26] from Operation: 35-9=26 Current State: 29:[16, 48, 26], Operations: ['35-9=26'] Exploring Operation: 48/16=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 48/16=3 Current State: 29:[26, 3], Operations: ['35-9=26', '48/16=3'] Exploring Operation: 26+3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 36, 59, 47, 51 ]
68
[ "51-47=4", "36/4=9", "59+9=68" ]
Current State: 68:[36, 59, 47, 51], Operations: [] Exploring Operation: 51-47=4, Resulting Numbers: [36, 59, 4] Generated Node #2: [36, 59, 4] from Operation: 51-47=4 Current State: 68:[36, 59, 4], Operations: ['51-47=4'] Exploring Operation: 36/4=9, Resulting Numbers: [59, 9] Generated Node #3: [59, 9] from Operation: 36/4=9 Current State: 68:[59, 9], Operations: ['51-47=4', '36/4=9'] Exploring Operation: 59+9=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 81, 64, 19, 47 ]
79
[ "81+64=145", "19+47=66", "145-66=79" ]
Current State: 79:[81, 64, 19, 47], Operations: [] Exploring Operation: 81+64=145, Resulting Numbers: [19, 47, 145] Generated Node #2: [19, 47, 145] from Operation: 81+64=145 Current State: 79:[19, 47, 145], Operations: ['81+64=145'] Exploring Operation: 19+47=66, Resulting Numbers: [145, 66] Generated Node #3: [145, 66] from Operation: 19+47=66 Current State: 79:[145, 66], Operations: ['81+64=145', '19+47=66'] Exploring Operation: 145-66=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 90, 63, 16, 96 ]
73
[ "90+63=153", "96-16=80", "153-80=73" ]
Current State: 73:[90, 63, 16, 96], Operations: [] Exploring Operation: 90+63=153, Resulting Numbers: [16, 96, 153] Generated Node #2: [16, 96, 153] from Operation: 90+63=153 Current State: 73:[16, 96, 153], Operations: ['90+63=153'] Exploring Operation: 96-16=80, Resulting Numbers: [153, 80] Generated Node #3: [153, 80] from Operation: 96-16=80 Current State: 73:[153, 80], Operations: ['90+63=153', '96-16=80'] Exploring Operation: 153-80=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 36, 79, 67, 97 ]
94
[ "79-67=12", "36/12=3", "97-3=94" ]
Current State: 94:[36, 79, 67, 97], Operations: [] Exploring Operation: 79-67=12, Resulting Numbers: [36, 97, 12] Generated Node #2: [36, 97, 12] from Operation: 79-67=12 Current State: 94:[36, 97, 12], Operations: ['79-67=12'] Exploring Operation: 36/12=3, Resulting Numbers: [97, 3] Generated Node #3: [97, 3] from Operation: 36/12=3 Current State: 94:[97, 3], Operations: ['79-67=12', '36/12=3'] Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 7, 31, 32, 92 ]
36
[ "31-7=24", "92-32=60", "60-24=36" ]
Current State: 36:[7, 31, 32, 92], Operations: [] Exploring Operation: 31-7=24, Resulting Numbers: [32, 92, 24] Generated Node #2: [32, 92, 24] from Operation: 31-7=24 Current State: 36:[32, 92, 24], Operations: ['31-7=24'] Exploring Operation: 92-32=60, Resulting Numbers: [24, 60] Generated Node #3: [24, 60] from Operation: 92-32=60 Current State: 36:[24, 60], Operations: ['31-7=24', '92-32=60'] Exploring Operation: 60-24=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 2, 32, 7, 30 ]
36
[ "30-2=28", "28/7=4", "32+4=36" ]
Current State: 36:[2, 32, 7, 30], Operations: [] Exploring Operation: 30-2=28, Resulting Numbers: [32, 7, 28] Generated Node #2: [32, 7, 28] from Operation: 30-2=28 Current State: 36:[32, 7, 28], Operations: ['30-2=28'] Exploring Operation: 28/7=4, Resulting Numbers: [32, 4] Generated Node #3: [32, 4] from Operation: 28/7=4 Current State: 36:[32, 4], Operations: ['30-2=28', '28/7=4'] Exploring Operation: 32+4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 86, 72, 81, 30 ]
78
[ "86-81=5", "30*5=150", "150-72=78" ]
Current State: 78:[86, 72, 81, 30], Operations: [] Exploring Operation: 86-81=5, Resulting Numbers: [72, 30, 5] Generated Node #2: [72, 30, 5] from Operation: 86-81=5 Current State: 78:[72, 30, 5], Operations: ['86-81=5'] Exploring Operation: 30*5=150, Resulting Numbers: [72, 150] Generated Node #3: [72, 150] from Operation: 30*5=150 Current State: 78:[72, 150], Operations: ['86-81=5', '30*5=150'] Exploring Operation: 150-72=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 10, 55, 16, 19 ]
69
[ "55*16=880", "880/10=88", "88-19=69" ]
Current State: 69:[10, 55, 16, 19], Operations: [] Exploring Operation: 55*16=880, Resulting Numbers: [10, 19, 880] Generated Node #2: [10, 19, 880] from Operation: 55*16=880 Current State: 69:[10, 19, 880], Operations: ['55*16=880'] Exploring Operation: 880/10=88, Resulting Numbers: [19, 88] Generated Node #3: [19, 88] from Operation: 880/10=88 Current State: 69:[19, 88], Operations: ['55*16=880', '880/10=88'] Exploring Operation: 88-19=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 2, 76, 11, 60 ]
35
[ "60/2=30", "76-11=65", "65-30=35" ]
Current State: 35:[2, 76, 11, 60], Operations: [] Exploring Operation: 60/2=30, Resulting Numbers: [76, 11, 30] Generated Node #2: [76, 11, 30] from Operation: 60/2=30 Current State: 35:[76, 11, 30], Operations: ['60/2=30'] Exploring Operation: 76-11=65, Resulting Numbers: [30, 65] Generated Node #3: [30, 65] from Operation: 76-11=65 Current State: 35:[30, 65], Operations: ['60/2=30', '76-11=65'] Exploring Operation: 65-30=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4