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
[ 27, 62, 54, 84 ]
49
[ "27+62=89", "54+84=138", "138-89=49" ]
Current State: 49:[27, 62, 54, 84], Operations: [] Exploring Operation: 27+62=89, Resulting Numbers: [54, 84, 89] Generated Node #2: [54, 84, 89] from Operation: 27+62=89 Current State: 49:[54, 84, 89], Operations: ['27+62=89'] Exploring Operation: 54+84=138, Resulting Numbers: [89, 138] Generated Node #3: [89, 138] from Operation: 54+84=138 Current State: 49:[89, 138], Operations: ['27+62=89', '54+84=138'] Exploring Operation: 138-89=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 22, 98, 91, 56 ]
41
[ "98-22=76", "91-56=35", "76-35=41" ]
Current State: 41:[22, 98, 91, 56], Operations: [] Exploring Operation: 98-22=76, Resulting Numbers: [91, 56, 76] Generated Node #2: [91, 56, 76] from Operation: 98-22=76 Current State: 41:[91, 56, 76], Operations: ['98-22=76'] Exploring Operation: 91-56=35, Resulting Numbers: [76, 35] Generated Node #3: [76, 35] from Operation: 91-56=35 Current State: 41:[76, 35], Operations: ['98-22=76', '91-56=35'] Exploring Operation: 76-35=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 14, 98, 2, 44 ]
30
[ "98/14=7", "2*7=14", "44-14=30" ]
Current State: 30:[14, 98, 2, 44], Operations: [] Exploring Operation: 98/14=7, Resulting Numbers: [2, 44, 7] Generated Node #2: [2, 44, 7] from Operation: 98/14=7 Current State: 30:[2, 44, 7], Operations: ['98/14=7'] Exploring Operation: 2*7=14, Resulting Numbers: [44, 14] Generated Node #3: [44, 14] from Operation: 2*7=14 Current State: 30:[44, 14], Operations: ['98/14=7', '2*7=14'] Exploring Operation: 44-14=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 84, 2, 22, 40 ]
73
[ "84+22=106", "40+106=146", "146/2=73" ]
Current State: 73:[84, 2, 22, 40], Operations: [] Exploring Operation: 84+22=106, Resulting Numbers: [2, 40, 106] Generated Node #2: [2, 40, 106] from Operation: 84+22=106 Current State: 73:[2, 40, 106], Operations: ['84+22=106'] Exploring Operation: 40+106=146, Resulting Numbers: [2, 146] Generated Node #3: [2, 146] from Operation: 40+106=146 Current State: 73:[2, 146], Operations: ['84+22=106', '40+106=146'] Exploring Operation: 146/2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 44, 94, 14, 90 ]
12
[ "94-90=4", "14*4=56", "56-44=12" ]
Current State: 12:[44, 94, 14, 90], Operations: [] Exploring Operation: 94-90=4, Resulting Numbers: [44, 14, 4] Generated Node #2: [44, 14, 4] from Operation: 94-90=4 Current State: 12:[44, 14, 4], Operations: ['94-90=4'] Exploring Operation: 14*4=56, Resulting Numbers: [44, 56] Generated Node #3: [44, 56] from Operation: 14*4=56 Current State: 12:[44, 56], Operations: ['94-90=4', '14*4=56'] Exploring Operation: 56-44=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 20, 44, 72, 72 ]
25
[ "44-20=24", "72/72=1", "24+1=25" ]
Current State: 25:[20, 44, 72, 72], Operations: [] Exploring Operation: 44-20=24, Resulting Numbers: [72, 72, 24] Generated Node #2: [72, 72, 24] from Operation: 44-20=24 Current State: 25:[72, 72, 24], Operations: ['44-20=24'] Exploring Operation: 72/72=1, Resulting Numbers: [24, 1] Generated Node #3: [24, 1] from Operation: 72/72=1 Current State: 25:[24, 1], Operations: ['44-20=24', '72/72=1'] Exploring Operation: 24+1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 31, 54, 18, 89 ]
40
[ "31+89=120", "54/18=3", "120/3=40" ]
Current State: 40:[31, 54, 18, 89], Operations: [] Exploring Operation: 31+89=120, Resulting Numbers: [54, 18, 120] Generated Node #2: [54, 18, 120] from Operation: 31+89=120 Current State: 40:[54, 18, 120], Operations: ['31+89=120'] Exploring Operation: 54/18=3, Resulting Numbers: [120, 3] Generated Node #3: [120, 3] from Operation: 54/18=3 Current State: 40:[120, 3], Operations: ['31+89=120', '54/18=3'] Exploring Operation: 120/3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 56, 35, 23, 66 ]
70
[ "56-23=33", "35*66=2310", "2310/33=70" ]
Current State: 70:[56, 35, 23, 66], Operations: [] Exploring Operation: 56-23=33, Resulting Numbers: [35, 66, 33] Generated Node #2: [35, 66, 33] from Operation: 56-23=33 Current State: 70:[35, 66, 33], Operations: ['56-23=33'] Exploring Operation: 35*66=2310, Resulting Numbers: [33, 2310] Generated Node #3: [33, 2310] from Operation: 35*66=2310 Current State: 70:[33, 2310], Operations: ['56-23=33', '35*66=2310'] Exploring Operation: 2310/33=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 86, 26, 81, 74 ]
56
[ "86-81=5", "26*5=130", "130-74=56" ]
Current State: 56:[86, 26, 81, 74], Operations: [] Exploring Operation: 86-81=5, Resulting Numbers: [26, 74, 5] Generated Node #2: [26, 74, 5] from Operation: 86-81=5 Current State: 56:[26, 74, 5], Operations: ['86-81=5'] Exploring Operation: 26*5=130, Resulting Numbers: [74, 130] Generated Node #3: [74, 130] from Operation: 26*5=130 Current State: 56:[74, 130], Operations: ['86-81=5', '26*5=130'] Exploring Operation: 130-74=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 88, 58, 66, 48 ]
22
[ "66*48=3168", "3168/88=36", "58-36=22" ]
Current State: 22:[88, 58, 66, 48], Operations: [] Exploring Operation: 66*48=3168, Resulting Numbers: [88, 58, 3168] Generated Node #2: [88, 58, 3168] from Operation: 66*48=3168 Current State: 22:[88, 58, 3168], Operations: ['66*48=3168'] Exploring Operation: 3168/88=36, Resulting Numbers: [58, 36] Generated Node #3: [58, 36] from Operation: 3168/88=36 Current State: 22:[58, 36], Operations: ['66*48=3168', '3168/88=36'] Exploring Operation: 58-36=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 46, 70, 50, 1 ]
63
[ "46-1=45", "70*45=3150", "3150/50=63" ]
Current State: 63:[46, 70, 50, 1], Operations: [] Exploring Operation: 46-1=45, Resulting Numbers: [70, 50, 45] Generated Node #2: [70, 50, 45] from Operation: 46-1=45 Current State: 63:[70, 50, 45], Operations: ['46-1=45'] Exploring Operation: 70*45=3150, Resulting Numbers: [50, 3150] Generated Node #3: [50, 3150] from Operation: 70*45=3150 Current State: 63:[50, 3150], Operations: ['46-1=45', '70*45=3150'] Exploring Operation: 3150/50=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 16, 9, 24, 72 ]
54
[ "9+72=81", "16*81=1296", "1296/24=54" ]
Current State: 54:[16, 9, 24, 72], Operations: [] Exploring Operation: 9+72=81, Resulting Numbers: [16, 24, 81] Generated Node #2: [16, 24, 81] from Operation: 9+72=81 Current State: 54:[16, 24, 81], Operations: ['9+72=81'] Exploring Operation: 16*81=1296, Resulting Numbers: [24, 1296] Generated Node #3: [24, 1296] from Operation: 16*81=1296 Current State: 54:[24, 1296], Operations: ['9+72=81', '16*81=1296'] Exploring Operation: 1296/24=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 88, 59, 41, 33 ]
48
[ "59-41=18", "88*18=1584", "1584/33=48" ]
Current State: 48:[88, 59, 41, 33], Operations: [] Exploring Operation: 59-41=18, Resulting Numbers: [88, 33, 18] Generated Node #2: [88, 33, 18] from Operation: 59-41=18 Current State: 48:[88, 33, 18], Operations: ['59-41=18'] Exploring Operation: 88*18=1584, Resulting Numbers: [33, 1584] Generated Node #3: [33, 1584] from Operation: 88*18=1584 Current State: 48:[33, 1584], Operations: ['59-41=18', '88*18=1584'] Exploring Operation: 1584/33=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 43, 86, 12, 39 ]
63
[ "86/43=2", "12*2=24", "39+24=63" ]
Current State: 63:[43, 86, 12, 39], Operations: [] Exploring Operation: 86/43=2, Resulting Numbers: [12, 39, 2] Generated Node #2: [12, 39, 2] from Operation: 86/43=2 Current State: 63:[12, 39, 2], Operations: ['86/43=2'] Exploring Operation: 12*2=24, Resulting Numbers: [39, 24] Generated Node #3: [39, 24] from Operation: 12*2=24 Current State: 63:[39, 24], Operations: ['86/43=2', '12*2=24'] Exploring Operation: 39+24=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 70, 41, 37, 42 ]
39
[ "70+41=111", "111/37=3", "42-3=39" ]
Current State: 39:[70, 41, 37, 42], Operations: [] Exploring Operation: 70+41=111, Resulting Numbers: [37, 42, 111] Generated Node #2: [37, 42, 111] from Operation: 70+41=111 Current State: 39:[37, 42, 111], Operations: ['70+41=111'] Exploring Operation: 111/37=3, Resulting Numbers: [42, 3] Generated Node #3: [42, 3] from Operation: 111/37=3 Current State: 39:[42, 3], Operations: ['70+41=111', '111/37=3'] Exploring Operation: 42-3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 50, 73, 75, 49 ]
49
[ "73-50=23", "75-49=26", "23+26=49" ]
Current State: 49:[50, 73, 75, 49], Operations: [] Exploring Operation: 73-50=23, Resulting Numbers: [75, 49, 23] Generated Node #2: [75, 49, 23] from Operation: 73-50=23 Current State: 49:[75, 49, 23], Operations: ['73-50=23'] Exploring Operation: 75-49=26, Resulting Numbers: [23, 26] Generated Node #3: [23, 26] from Operation: 75-49=26 Current State: 49:[23, 26], Operations: ['73-50=23', '75-49=26'] Exploring Operation: 23+26=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 18, 82, 67, 84 ]
47
[ "82-18=64", "84-67=17", "64-17=47" ]
Current State: 47:[18, 82, 67, 84], Operations: [] Exploring Operation: 82-18=64, Resulting Numbers: [67, 84, 64] Generated Node #2: [67, 84, 64] from Operation: 82-18=64 Current State: 47:[67, 84, 64], Operations: ['82-18=64'] Exploring Operation: 84-67=17, Resulting Numbers: [64, 17] Generated Node #3: [64, 17] from Operation: 84-67=17 Current State: 47:[64, 17], Operations: ['82-18=64', '84-67=17'] Exploring Operation: 64-17=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 98, 5, 96, 63 ]
60
[ "98-5=93", "96-63=33", "93-33=60" ]
Current State: 60:[98, 5, 96, 63], Operations: [] Exploring Operation: 98-5=93, Resulting Numbers: [96, 63, 93] Generated Node #2: [96, 63, 93] from Operation: 98-5=93 Current State: 60:[96, 63, 93], Operations: ['98-5=93'] Exploring Operation: 96-63=33, Resulting Numbers: [93, 33] Generated Node #3: [93, 33] from Operation: 96-63=33 Current State: 60:[93, 33], Operations: ['98-5=93', '96-63=33'] Exploring Operation: 93-33=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 95, 75, 71, 65 ]
34
[ "95+75=170", "71+65=136", "170-136=34" ]
Current State: 34:[95, 75, 71, 65], Operations: [] Exploring Operation: 95+75=170, Resulting Numbers: [71, 65, 170] Generated Node #2: [71, 65, 170] from Operation: 95+75=170 Current State: 34:[71, 65, 170], Operations: ['95+75=170'] Exploring Operation: 71+65=136, Resulting Numbers: [170, 136] Generated Node #3: [170, 136] from Operation: 71+65=136 Current State: 34:[170, 136], Operations: ['95+75=170', '71+65=136'] Exploring Operation: 170-136=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 29, 8, 96, 23 ]
59
[ "29+96=125", "8*23=184", "184-125=59" ]
Current State: 59:[29, 8, 96, 23], Operations: [] Exploring Operation: 29+96=125, Resulting Numbers: [8, 23, 125] Generated Node #2: [8, 23, 125] from Operation: 29+96=125 Current State: 59:[8, 23, 125], Operations: ['29+96=125'] Exploring Operation: 8*23=184, Resulting Numbers: [125, 184] Generated Node #3: [125, 184] from Operation: 8*23=184 Current State: 59:[125, 184], Operations: ['29+96=125', '8*23=184'] Exploring Operation: 184-125=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 79, 53, 97, 16 ]
19
[ "79+53=132", "97+16=113", "132-113=19" ]
Current State: 19:[79, 53, 97, 16], Operations: [] Exploring Operation: 79+53=132, Resulting Numbers: [97, 16, 132] Generated Node #2: [97, 16, 132] from Operation: 79+53=132 Current State: 19:[97, 16, 132], Operations: ['79+53=132'] Exploring Operation: 97+16=113, Resulting Numbers: [132, 113] Generated Node #3: [132, 113] from Operation: 97+16=113 Current State: 19:[132, 113], Operations: ['79+53=132', '97+16=113'] Exploring Operation: 132-113=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 45, 92, 73, 21 ]
99
[ "92-45=47", "73-21=52", "47+52=99" ]
Current State: 99:[45, 92, 73, 21], Operations: [] Exploring Operation: 92-45=47, Resulting Numbers: [73, 21, 47] Generated Node #2: [73, 21, 47] from Operation: 92-45=47 Current State: 99:[73, 21, 47], Operations: ['92-45=47'] Exploring Operation: 73-21=52, Resulting Numbers: [47, 52] Generated Node #3: [47, 52] from Operation: 73-21=52 Current State: 99:[47, 52], Operations: ['92-45=47', '73-21=52'] Exploring Operation: 47+52=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 9, 74, 51, 37 ]
51
[ "74-9=65", "51-37=14", "65-14=51" ]
Current State: 51:[9, 74, 51, 37], Operations: [] Exploring Operation: 74-9=65, Resulting Numbers: [51, 37, 65] Generated Node #2: [51, 37, 65] from Operation: 74-9=65 Current State: 51:[51, 37, 65], Operations: ['74-9=65'] Exploring Operation: 51-37=14, Resulting Numbers: [65, 14] Generated Node #3: [65, 14] from Operation: 51-37=14 Current State: 51:[65, 14], Operations: ['74-9=65', '51-37=14'] Exploring Operation: 65-14=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 59, 54, 26, 41 ]
78
[ "59-41=18", "54*26=1404", "1404/18=78" ]
Current State: 78:[59, 54, 26, 41], Operations: [] Exploring Operation: 59-41=18, Resulting Numbers: [54, 26, 18] Generated Node #2: [54, 26, 18] from Operation: 59-41=18 Current State: 78:[54, 26, 18], Operations: ['59-41=18'] Exploring Operation: 54*26=1404, Resulting Numbers: [18, 1404] Generated Node #3: [18, 1404] from Operation: 54*26=1404 Current State: 78:[18, 1404], Operations: ['59-41=18', '54*26=1404'] Exploring Operation: 1404/18=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 24, 79, 96, 5 ]
61
[ "96-79=17", "5*17=85", "85-24=61" ]
Current State: 61:[24, 79, 96, 5], Operations: [] Exploring Operation: 96-79=17, Resulting Numbers: [24, 5, 17] Generated Node #2: [24, 5, 17] from Operation: 96-79=17 Current State: 61:[24, 5, 17], Operations: ['96-79=17'] Exploring Operation: 5*17=85, Resulting Numbers: [24, 85] Generated Node #3: [24, 85] from Operation: 5*17=85 Current State: 61:[24, 85], Operations: ['96-79=17', '5*17=85'] Exploring Operation: 85-24=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 45, 40, 81, 96 ]
24
[ "45+40=85", "85-81=4", "96/4=24" ]
Current State: 24:[45, 40, 81, 96], Operations: [] Exploring Operation: 45+40=85, Resulting Numbers: [81, 96, 85] Generated Node #2: [81, 96, 85] from Operation: 45+40=85 Current State: 24:[81, 96, 85], Operations: ['45+40=85'] Exploring Operation: 85-81=4, Resulting Numbers: [96, 4] Generated Node #3: [96, 4] from Operation: 85-81=4 Current State: 24:[96, 4], Operations: ['45+40=85', '85-81=4'] Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 2, 7, 10, 42 ]
22
[ "2*42=84", "84/7=12", "10+12=22" ]
Current State: 22:[2, 7, 10, 42], Operations: [] Exploring Operation: 2*42=84, Resulting Numbers: [7, 10, 84] Generated Node #2: [7, 10, 84] from Operation: 2*42=84 Current State: 22:[7, 10, 84], Operations: ['2*42=84'] Exploring Operation: 84/7=12, Resulting Numbers: [10, 12] Generated Node #3: [10, 12] from Operation: 84/7=12 Current State: 22:[10, 12], Operations: ['2*42=84', '84/7=12'] Exploring Operation: 10+12=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 32, 34, 9, 13 ]
31
[ "34-32=2", "9*2=18", "13+18=31" ]
Current State: 31:[32, 34, 9, 13], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [9, 13, 2] Generated Node #2: [9, 13, 2] from Operation: 34-32=2 Current State: 31:[9, 13, 2], Operations: ['34-32=2'] Exploring Operation: 9*2=18, Resulting Numbers: [13, 18] Generated Node #3: [13, 18] from Operation: 9*2=18 Current State: 31:[13, 18], Operations: ['34-32=2', '9*2=18'] Exploring Operation: 13+18=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 77, 6, 18, 60 ]
49
[ "77-18=59", "60/6=10", "59-10=49" ]
Current State: 49:[77, 6, 18, 60], Operations: [] Exploring Operation: 77-18=59, Resulting Numbers: [6, 60, 59] Generated Node #2: [6, 60, 59] from Operation: 77-18=59 Current State: 49:[6, 60, 59], Operations: ['77-18=59'] Exploring Operation: 60/6=10, Resulting Numbers: [59, 10] Generated Node #3: [59, 10] from Operation: 60/6=10 Current State: 49:[59, 10], Operations: ['77-18=59', '60/6=10'] Exploring Operation: 59-10=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 65, 33, 85, 25 ]
12
[ "65+33=98", "85+25=110", "110-98=12" ]
Current State: 12:[65, 33, 85, 25], Operations: [] Exploring Operation: 65+33=98, Resulting Numbers: [85, 25, 98] Generated Node #2: [85, 25, 98] from Operation: 65+33=98 Current State: 12:[85, 25, 98], Operations: ['65+33=98'] Exploring Operation: 85+25=110, Resulting Numbers: [98, 110] Generated Node #3: [98, 110] from Operation: 85+25=110 Current State: 12:[98, 110], Operations: ['65+33=98', '85+25=110'] Exploring Operation: 110-98=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 1, 4, 8, 34 ]
47
[ "1+4=5", "8+34=42", "5+42=47" ]
Current State: 47:[1, 4, 8, 34], Operations: [] Exploring Operation: 1+4=5, Resulting Numbers: [8, 34, 5] Generated Node #2: [8, 34, 5] from Operation: 1+4=5 Current State: 47:[8, 34, 5], Operations: ['1+4=5'] Exploring Operation: 8+34=42, Resulting Numbers: [5, 42] Generated Node #3: [5, 42] from Operation: 8+34=42 Current State: 47:[5, 42], Operations: ['1+4=5', '8+34=42'] Exploring Operation: 5+42=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 84, 84, 85, 50 ]
85
[ "84-84=0", "50*0=0", "85+0=85" ]
Current State: 85:[84, 84, 85, 50], Operations: [] Exploring Operation: 84-84=0, Resulting Numbers: [85, 50, 0] Generated Node #2: [85, 50, 0] from Operation: 84-84=0 Current State: 85:[85, 50, 0], Operations: ['84-84=0'] Exploring Operation: 50*0=0, Resulting Numbers: [85, 0] Generated Node #3: [85, 0] from Operation: 50*0=0 Current State: 85:[85, 0], Operations: ['84-84=0', '50*0=0'] Exploring Operation: 85+0=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 21, 82, 46, 26 ]
83
[ "21+82=103", "46-26=20", "103-20=83" ]
Current State: 83:[21, 82, 46, 26], Operations: [] Exploring Operation: 21+82=103, Resulting Numbers: [46, 26, 103] Generated Node #2: [46, 26, 103] from Operation: 21+82=103 Current State: 83:[46, 26, 103], Operations: ['21+82=103'] Exploring Operation: 46-26=20, Resulting Numbers: [103, 20] Generated Node #3: [103, 20] from Operation: 46-26=20 Current State: 83:[103, 20], Operations: ['21+82=103', '46-26=20'] Exploring Operation: 103-20=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 11, 22, 88, 64 ]
71
[ "11+64=75", "88/22=4", "75-4=71" ]
Current State: 71:[11, 22, 88, 64], Operations: [] Exploring Operation: 11+64=75, Resulting Numbers: [22, 88, 75] Generated Node #2: [22, 88, 75] from Operation: 11+64=75 Current State: 71:[22, 88, 75], Operations: ['11+64=75'] Exploring Operation: 88/22=4, Resulting Numbers: [75, 4] Generated Node #3: [75, 4] from Operation: 88/22=4 Current State: 71:[75, 4], Operations: ['11+64=75', '88/22=4'] Exploring Operation: 75-4=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 6, 34, 52, 86 ]
98
[ "6+34=40", "52+86=138", "138-40=98" ]
Current State: 98:[6, 34, 52, 86], Operations: [] Exploring Operation: 6+34=40, Resulting Numbers: [52, 86, 40] Generated Node #2: [52, 86, 40] from Operation: 6+34=40 Current State: 98:[52, 86, 40], Operations: ['6+34=40'] Exploring Operation: 52+86=138, Resulting Numbers: [40, 138] Generated Node #3: [40, 138] from Operation: 52+86=138 Current State: 98:[40, 138], Operations: ['6+34=40', '52+86=138'] Exploring Operation: 138-40=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 3, 32, 64, 94 ]
88
[ "3*64=192", "192/32=6", "94-6=88" ]
Current State: 88:[3, 32, 64, 94], Operations: [] Exploring Operation: 3*64=192, Resulting Numbers: [32, 94, 192] Generated Node #2: [32, 94, 192] from Operation: 3*64=192 Current State: 88:[32, 94, 192], Operations: ['3*64=192'] Exploring Operation: 192/32=6, Resulting Numbers: [94, 6] Generated Node #3: [94, 6] from Operation: 192/32=6 Current State: 88:[94, 6], Operations: ['3*64=192', '192/32=6'] Exploring Operation: 94-6=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 2, 10, 69, 19 ]
90
[ "69-19=50", "2*50=100", "100-10=90" ]
Current State: 90:[2, 10, 69, 19], Operations: [] Exploring Operation: 69-19=50, Resulting Numbers: [2, 10, 50] Generated Node #2: [2, 10, 50] from Operation: 69-19=50 Current State: 90:[2, 10, 50], Operations: ['69-19=50'] Exploring Operation: 2*50=100, Resulting Numbers: [10, 100] Generated Node #3: [10, 100] from Operation: 2*50=100 Current State: 90:[10, 100], Operations: ['69-19=50', '2*50=100'] Exploring Operation: 100-10=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 64, 31, 21, 28 ]
88
[ "64+31=95", "28-21=7", "95-7=88" ]
Current State: 88:[64, 31, 21, 28], Operations: [] Exploring Operation: 64+31=95, Resulting Numbers: [21, 28, 95] Generated Node #2: [21, 28, 95] from Operation: 64+31=95 Current State: 88:[21, 28, 95], Operations: ['64+31=95'] Exploring Operation: 28-21=7, Resulting Numbers: [95, 7] Generated Node #3: [95, 7] from Operation: 28-21=7 Current State: 88:[95, 7], Operations: ['64+31=95', '28-21=7'] Exploring Operation: 95-7=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 50, 30, 40, 18 ]
23
[ "40-30=10", "50/10=5", "18+5=23" ]
Current State: 23:[50, 30, 40, 18], Operations: [] Exploring Operation: 40-30=10, Resulting Numbers: [50, 18, 10] Generated Node #2: [50, 18, 10] from Operation: 40-30=10 Current State: 23:[50, 18, 10], Operations: ['40-30=10'] Exploring Operation: 50/10=5, Resulting Numbers: [18, 5] Generated Node #3: [18, 5] from Operation: 50/10=5 Current State: 23:[18, 5], Operations: ['40-30=10', '50/10=5'] Exploring Operation: 18+5=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 66, 34, 8, 70 ]
79
[ "34+70=104", "104/8=13", "66+13=79" ]
Current State: 79:[66, 34, 8, 70], Operations: [] Exploring Operation: 34+70=104, Resulting Numbers: [66, 8, 104] Generated Node #2: [66, 8, 104] from Operation: 34+70=104 Current State: 79:[66, 8, 104], Operations: ['34+70=104'] Exploring Operation: 104/8=13, Resulting Numbers: [66, 13] Generated Node #3: [66, 13] from Operation: 104/8=13 Current State: 79:[66, 13], Operations: ['34+70=104', '104/8=13'] Exploring Operation: 66+13=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 28, 43, 71, 4 ]
35
[ "28/4=7", "71-43=28", "7+28=35" ]
Current State: 35:[28, 43, 71, 4], Operations: [] Exploring Operation: 28/4=7, Resulting Numbers: [43, 71, 7] Generated Node #2: [43, 71, 7] from Operation: 28/4=7 Current State: 35:[43, 71, 7], Operations: ['28/4=7'] Exploring Operation: 71-43=28, Resulting Numbers: [7, 28] Generated Node #3: [7, 28] from Operation: 71-43=28 Current State: 35:[7, 28], Operations: ['28/4=7', '71-43=28'] Exploring Operation: 7+28=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 55, 72, 42, 76 ]
74
[ "76-55=21", "42/21=2", "72+2=74" ]
Current State: 74:[55, 72, 42, 76], Operations: [] Exploring Operation: 76-55=21, Resulting Numbers: [72, 42, 21] Generated Node #2: [72, 42, 21] from Operation: 76-55=21 Current State: 74:[72, 42, 21], Operations: ['76-55=21'] Exploring Operation: 42/21=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 42/21=2 Current State: 74:[72, 2], Operations: ['76-55=21', '42/21=2'] Exploring Operation: 72+2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 61, 20, 46, 63 ]
33
[ "63-61=2", "20+46=66", "66/2=33" ]
Current State: 33:[61, 20, 46, 63], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [20, 46, 2] Generated Node #2: [20, 46, 2] from Operation: 63-61=2 Current State: 33:[20, 46, 2], Operations: ['63-61=2'] Exploring Operation: 20+46=66, Resulting Numbers: [2, 66] Generated Node #3: [2, 66] from Operation: 20+46=66 Current State: 33:[2, 66], Operations: ['63-61=2', '20+46=66'] Exploring Operation: 66/2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 38, 28, 4, 92 ]
22
[ "38+28=66", "92-4=88", "88-66=22" ]
Current State: 22:[38, 28, 4, 92], Operations: [] Exploring Operation: 38+28=66, Resulting Numbers: [4, 92, 66] Generated Node #2: [4, 92, 66] from Operation: 38+28=66 Current State: 22:[4, 92, 66], Operations: ['38+28=66'] Exploring Operation: 92-4=88, Resulting Numbers: [66, 88] Generated Node #3: [66, 88] from Operation: 92-4=88 Current State: 22:[66, 88], Operations: ['38+28=66', '92-4=88'] Exploring Operation: 88-66=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 53, 66, 6, 61 ]
19
[ "61-53=8", "66/6=11", "8+11=19" ]
Current State: 19:[53, 66, 6, 61], Operations: [] Exploring Operation: 61-53=8, Resulting Numbers: [66, 6, 8] Generated Node #2: [66, 6, 8] from Operation: 61-53=8 Current State: 19:[66, 6, 8], Operations: ['61-53=8'] Exploring Operation: 66/6=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 66/6=11 Current State: 19:[8, 11], Operations: ['61-53=8', '66/6=11'] Exploring Operation: 8+11=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 65, 99, 91, 89 ]
31
[ "91-89=2", "65*2=130", "130-99=31" ]
Current State: 31:[65, 99, 91, 89], Operations: [] Exploring Operation: 91-89=2, Resulting Numbers: [65, 99, 2] Generated Node #2: [65, 99, 2] from Operation: 91-89=2 Current State: 31:[65, 99, 2], Operations: ['91-89=2'] Exploring Operation: 65*2=130, Resulting Numbers: [99, 130] Generated Node #3: [99, 130] from Operation: 65*2=130 Current State: 31:[99, 130], Operations: ['91-89=2', '65*2=130'] Exploring Operation: 130-99=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 38, 16, 20, 20 ]
40
[ "38-16=22", "22-20=2", "20*2=40" ]
Current State: 40:[38, 16, 20, 20], Operations: [] Exploring Operation: 38-16=22, Resulting Numbers: [20, 20, 22] Generated Node #2: [20, 20, 22] from Operation: 38-16=22 Current State: 40:[20, 20, 22], Operations: ['38-16=22'] Exploring Operation: 22-20=2, Resulting Numbers: [2] 2,40 equal: Goal Reached Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 23, 84, 85, 25 ]
47
[ "23+84=107", "85-25=60", "107-60=47" ]
Current State: 47:[23, 84, 85, 25], Operations: [] Exploring Operation: 23+84=107, Resulting Numbers: [85, 25, 107] Generated Node #2: [85, 25, 107] from Operation: 23+84=107 Current State: 47:[85, 25, 107], Operations: ['23+84=107'] Exploring Operation: 85-25=60, Resulting Numbers: [107, 60] Generated Node #3: [107, 60] from Operation: 85-25=60 Current State: 47:[107, 60], Operations: ['23+84=107', '85-25=60'] Exploring Operation: 107-60=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 54, 28, 15, 64 ]
42
[ "64-54=10", "28*15=420", "420/10=42" ]
Current State: 42:[54, 28, 15, 64], Operations: [] Exploring Operation: 64-54=10, Resulting Numbers: [28, 15, 10] Generated Node #2: [28, 15, 10] from Operation: 64-54=10 Current State: 42:[28, 15, 10], Operations: ['64-54=10'] Exploring Operation: 28*15=420, Resulting Numbers: [10, 420] Generated Node #3: [10, 420] from Operation: 28*15=420 Current State: 42:[10, 420], Operations: ['64-54=10', '28*15=420'] Exploring Operation: 420/10=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 33, 88, 81, 24 ]
40
[ "33*88=2904", "2904/24=121", "121-81=40" ]
Current State: 40:[33, 88, 81, 24], Operations: [] Exploring Operation: 33*88=2904, Resulting Numbers: [81, 24, 2904] Generated Node #2: [81, 24, 2904] from Operation: 33*88=2904 Current State: 40:[81, 24, 2904], Operations: ['33*88=2904'] Exploring Operation: 2904/24=121, Resulting Numbers: [81, 121] Generated Node #3: [81, 121] from Operation: 2904/24=121 Current State: 40:[81, 121], Operations: ['33*88=2904', '2904/24=121'] Exploring Operation: 121-81=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 54, 45, 90, 45 ]
56
[ "54*45=2430", "90+2430=2520", "2520/45=56" ]
Current State: 56:[54, 45, 90, 45], Operations: [] Exploring Operation: 54*45=2430, Resulting Numbers: [90, 2430] Generated Node #2: [90, 2430] from Operation: 54*45=2430 Current State: 56:[90, 2430], Operations: ['54*45=2430'] Exploring Operation: 90+2430=2520, Resulting Numbers: [2520] 2520,56 equal: Goal Reached Exploring Operation: 2520/45=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 20, 69, 79, 33 ]
23
[ "20+69=89", "79+33=112", "112-89=23" ]
Current State: 23:[20, 69, 79, 33], Operations: [] Exploring Operation: 20+69=89, Resulting Numbers: [79, 33, 89] Generated Node #2: [79, 33, 89] from Operation: 20+69=89 Current State: 23:[79, 33, 89], Operations: ['20+69=89'] Exploring Operation: 79+33=112, Resulting Numbers: [89, 112] Generated Node #3: [89, 112] from Operation: 79+33=112 Current State: 23:[89, 112], Operations: ['20+69=89', '79+33=112'] Exploring Operation: 112-89=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 71, 37, 86, 47 ]
30
[ "71*37=2627", "2627-47=2580", "2580/86=30" ]
Current State: 30:[71, 37, 86, 47], Operations: [] Exploring Operation: 71*37=2627, Resulting Numbers: [86, 47, 2627] Generated Node #2: [86, 47, 2627] from Operation: 71*37=2627 Current State: 30:[86, 47, 2627], Operations: ['71*37=2627'] Exploring Operation: 2627-47=2580, Resulting Numbers: [86, 2580] Generated Node #3: [86, 2580] from Operation: 2627-47=2580 Current State: 30:[86, 2580], Operations: ['71*37=2627', '2627-47=2580'] Exploring Operation: 2580/86=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 28, 27, 36, 98 ]
77
[ "28*27=756", "756/36=21", "98-21=77" ]
Current State: 77:[28, 27, 36, 98], Operations: [] Exploring Operation: 28*27=756, Resulting Numbers: [36, 98, 756] Generated Node #2: [36, 98, 756] from Operation: 28*27=756 Current State: 77:[36, 98, 756], Operations: ['28*27=756'] Exploring Operation: 756/36=21, Resulting Numbers: [98, 21] Generated Node #3: [98, 21] from Operation: 756/36=21 Current State: 77:[98, 21], Operations: ['28*27=756', '756/36=21'] Exploring Operation: 98-21=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 92, 42, 65, 59 ]
85
[ "65-59=6", "42/6=7", "92-7=85" ]
Current State: 85:[92, 42, 65, 59], Operations: [] Exploring Operation: 65-59=6, Resulting Numbers: [92, 42, 6] Generated Node #2: [92, 42, 6] from Operation: 65-59=6 Current State: 85:[92, 42, 6], Operations: ['65-59=6'] Exploring Operation: 42/6=7, Resulting Numbers: [92, 7] Generated Node #3: [92, 7] from Operation: 42/6=7 Current State: 85:[92, 7], Operations: ['65-59=6', '42/6=7'] Exploring Operation: 92-7=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 20, 80, 67, 7 ]
70
[ "80/20=4", "67+7=74", "74-4=70" ]
Current State: 70:[20, 80, 67, 7], Operations: [] Exploring Operation: 80/20=4, Resulting Numbers: [67, 7, 4] Generated Node #2: [67, 7, 4] from Operation: 80/20=4 Current State: 70:[67, 7, 4], Operations: ['80/20=4'] Exploring Operation: 67+7=74, Resulting Numbers: [4, 74] Generated Node #3: [4, 74] from Operation: 67+7=74 Current State: 70:[4, 74], Operations: ['80/20=4', '67+7=74'] Exploring Operation: 74-4=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 40, 66, 75, 14 ]
77
[ "66+14=80", "80/40=2", "75+2=77" ]
Current State: 77:[40, 66, 75, 14], Operations: [] Exploring Operation: 66+14=80, Resulting Numbers: [40, 75, 80] Generated Node #2: [40, 75, 80] from Operation: 66+14=80 Current State: 77:[40, 75, 80], Operations: ['66+14=80'] Exploring Operation: 80/40=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 80/40=2 Current State: 77:[75, 2], Operations: ['66+14=80', '80/40=2'] Exploring Operation: 75+2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 63, 28, 21, 41 ]
71
[ "63+28=91", "41-21=20", "91-20=71" ]
Current State: 71:[63, 28, 21, 41], Operations: [] Exploring Operation: 63+28=91, Resulting Numbers: [21, 41, 91] Generated Node #2: [21, 41, 91] from Operation: 63+28=91 Current State: 71:[21, 41, 91], Operations: ['63+28=91'] Exploring Operation: 41-21=20, Resulting Numbers: [91, 20] Generated Node #3: [91, 20] from Operation: 41-21=20 Current State: 71:[91, 20], Operations: ['63+28=91', '41-21=20'] Exploring Operation: 91-20=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 5, 55, 38, 88 ]
47
[ "5*38=190", "55+88=143", "190-143=47" ]
Current State: 47:[5, 55, 38, 88], Operations: [] Exploring Operation: 5*38=190, Resulting Numbers: [55, 88, 190] Generated Node #2: [55, 88, 190] from Operation: 5*38=190 Current State: 47:[55, 88, 190], Operations: ['5*38=190'] Exploring Operation: 55+88=143, Resulting Numbers: [190, 143] Generated Node #3: [190, 143] from Operation: 55+88=143 Current State: 47:[190, 143], Operations: ['5*38=190', '55+88=143'] Exploring Operation: 190-143=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 21, 62, 59, 72 ]
96
[ "21+62=83", "72-59=13", "83+13=96" ]
Current State: 96:[21, 62, 59, 72], Operations: [] Exploring Operation: 21+62=83, Resulting Numbers: [59, 72, 83] Generated Node #2: [59, 72, 83] from Operation: 21+62=83 Current State: 96:[59, 72, 83], Operations: ['21+62=83'] Exploring Operation: 72-59=13, Resulting Numbers: [83, 13] Generated Node #3: [83, 13] from Operation: 72-59=13 Current State: 96:[83, 13], Operations: ['21+62=83', '72-59=13'] Exploring Operation: 83+13=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 48, 4, 88, 3 ]
18
[ "48/3=16", "88-16=72", "72/4=18" ]
Current State: 18:[48, 4, 88, 3], Operations: [] Exploring Operation: 48/3=16, Resulting Numbers: [4, 88, 16] Generated Node #2: [4, 88, 16] from Operation: 48/3=16 Current State: 18:[4, 88, 16], Operations: ['48/3=16'] Exploring Operation: 88-16=72, Resulting Numbers: [4, 72] Generated Node #3: [4, 72] from Operation: 88-16=72 Current State: 18:[4, 72], Operations: ['48/3=16', '88-16=72'] Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 69, 96, 65, 66 ]
97
[ "69-66=3", "96/3=32", "65+32=97" ]
Current State: 97:[69, 96, 65, 66], Operations: [] Exploring Operation: 69-66=3, Resulting Numbers: [96, 65, 3] Generated Node #2: [96, 65, 3] from Operation: 69-66=3 Current State: 97:[96, 65, 3], Operations: ['69-66=3'] Exploring Operation: 96/3=32, Resulting Numbers: [65, 32] Generated Node #3: [65, 32] from Operation: 96/3=32 Current State: 97:[65, 32], Operations: ['69-66=3', '96/3=32'] Exploring Operation: 65+32=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 76, 26, 22, 46 ]
88
[ "76-26=50", "50-46=4", "22*4=88" ]
Current State: 88:[76, 26, 22, 46], Operations: [] Exploring Operation: 76-26=50, Resulting Numbers: [22, 46, 50] Generated Node #2: [22, 46, 50] from Operation: 76-26=50 Current State: 88:[22, 46, 50], Operations: ['76-26=50'] Exploring Operation: 50-46=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 50-46=4 Current State: 88:[22, 4], Operations: ['76-26=50', '50-46=4'] Exploring Operation: 22*4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 50, 1, 10, 21 ]
48
[ "21-1=20", "20/10=2", "50-2=48" ]
Current State: 48:[50, 1, 10, 21], Operations: [] Exploring Operation: 21-1=20, Resulting Numbers: [50, 10, 20] Generated Node #2: [50, 10, 20] from Operation: 21-1=20 Current State: 48:[50, 10, 20], Operations: ['21-1=20'] Exploring Operation: 20/10=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 20/10=2 Current State: 48:[50, 2], Operations: ['21-1=20', '20/10=2'] Exploring Operation: 50-2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 13, 37, 82, 91 ]
52
[ "91/13=7", "82-37=45", "7+45=52" ]
Current State: 52:[13, 37, 82, 91], Operations: [] Exploring Operation: 91/13=7, Resulting Numbers: [37, 82, 7] Generated Node #2: [37, 82, 7] from Operation: 91/13=7 Current State: 52:[37, 82, 7], Operations: ['91/13=7'] Exploring Operation: 82-37=45, Resulting Numbers: [7, 45] Generated Node #3: [7, 45] from Operation: 82-37=45 Current State: 52:[7, 45], Operations: ['91/13=7', '82-37=45'] Exploring Operation: 7+45=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 84, 85, 49, 38 ]
82
[ "84+85=169", "49+38=87", "169-87=82" ]
Current State: 82:[84, 85, 49, 38], Operations: [] Exploring Operation: 84+85=169, Resulting Numbers: [49, 38, 169] Generated Node #2: [49, 38, 169] from Operation: 84+85=169 Current State: 82:[49, 38, 169], Operations: ['84+85=169'] Exploring Operation: 49+38=87, Resulting Numbers: [169, 87] Generated Node #3: [169, 87] from Operation: 49+38=87 Current State: 82:[169, 87], Operations: ['84+85=169', '49+38=87'] Exploring Operation: 169-87=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 59, 4, 31, 5 ]
29
[ "59-4=55", "31-5=26", "55-26=29" ]
Current State: 29:[59, 4, 31, 5], Operations: [] Exploring Operation: 59-4=55, Resulting Numbers: [31, 5, 55] Generated Node #2: [31, 5, 55] from Operation: 59-4=55 Current State: 29:[31, 5, 55], Operations: ['59-4=55'] Exploring Operation: 31-5=26, Resulting Numbers: [55, 26] Generated Node #3: [55, 26] from Operation: 31-5=26 Current State: 29:[55, 26], Operations: ['59-4=55', '31-5=26'] Exploring Operation: 55-26=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 4, 73, 38, 10 ]
85
[ "38+10=48", "48/4=12", "73+12=85" ]
Current State: 85:[4, 73, 38, 10], Operations: [] Exploring Operation: 38+10=48, Resulting Numbers: [4, 73, 48] Generated Node #2: [4, 73, 48] from Operation: 38+10=48 Current State: 85:[4, 73, 48], Operations: ['38+10=48'] Exploring Operation: 48/4=12, Resulting Numbers: [73, 12] Generated Node #3: [73, 12] from Operation: 48/4=12 Current State: 85:[73, 12], Operations: ['38+10=48', '48/4=12'] Exploring Operation: 73+12=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 9, 16, 18, 66 ]
74
[ "9*16=144", "144/18=8", "66+8=74" ]
Current State: 74:[9, 16, 18, 66], Operations: [] Exploring Operation: 9*16=144, Resulting Numbers: [18, 66, 144] Generated Node #2: [18, 66, 144] from Operation: 9*16=144 Current State: 74:[18, 66, 144], Operations: ['9*16=144'] Exploring Operation: 144/18=8, Resulting Numbers: [66, 8] Generated Node #3: [66, 8] from Operation: 144/18=8 Current State: 74:[66, 8], Operations: ['9*16=144', '144/18=8'] Exploring Operation: 66+8=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 13, 23, 64, 58 ]
16
[ "23-13=10", "64-58=6", "10+6=16" ]
Current State: 16:[13, 23, 64, 58], Operations: [] Exploring Operation: 23-13=10, Resulting Numbers: [64, 58, 10] Generated Node #2: [64, 58, 10] from Operation: 23-13=10 Current State: 16:[64, 58, 10], Operations: ['23-13=10'] Exploring Operation: 64-58=6, Resulting Numbers: [10, 6] Generated Node #3: [10, 6] from Operation: 64-58=6 Current State: 16:[10, 6], Operations: ['23-13=10', '64-58=6'] Exploring Operation: 10+6=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 83, 42, 14, 35 ]
51
[ "83-35=48", "42/14=3", "48+3=51" ]
Current State: 51:[83, 42, 14, 35], Operations: [] Exploring Operation: 83-35=48, Resulting Numbers: [42, 14, 48] Generated Node #2: [42, 14, 48] from Operation: 83-35=48 Current State: 51:[42, 14, 48], Operations: ['83-35=48'] Exploring Operation: 42/14=3, Resulting Numbers: [48, 3] Generated Node #3: [48, 3] from Operation: 42/14=3 Current State: 51:[48, 3], Operations: ['83-35=48', '42/14=3'] Exploring Operation: 48+3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 86, 13, 19, 72 ]
65
[ "86-19=67", "72-67=5", "13*5=65" ]
Current State: 65:[86, 13, 19, 72], Operations: [] Exploring Operation: 86-19=67, Resulting Numbers: [13, 72, 67] Generated Node #2: [13, 72, 67] from Operation: 86-19=67 Current State: 65:[13, 72, 67], Operations: ['86-19=67'] Exploring Operation: 72-67=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 72-67=5 Current State: 65:[13, 5], Operations: ['86-19=67', '72-67=5'] Exploring Operation: 13*5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 82, 29, 55, 63 ]
11
[ "82+63=145", "29*55=1595", "1595/145=11" ]
Current State: 11:[82, 29, 55, 63], Operations: [] Exploring Operation: 82+63=145, Resulting Numbers: [29, 55, 145] Generated Node #2: [29, 55, 145] from Operation: 82+63=145 Current State: 11:[29, 55, 145], Operations: ['82+63=145'] Exploring Operation: 29*55=1595, Resulting Numbers: [145, 1595] Generated Node #3: [145, 1595] from Operation: 29*55=1595 Current State: 11:[145, 1595], Operations: ['82+63=145', '29*55=1595'] Exploring Operation: 1595/145=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 90, 45, 75, 66 ]
85
[ "75-66=9", "45/9=5", "90-5=85" ]
Current State: 85:[90, 45, 75, 66], Operations: [] Exploring Operation: 75-66=9, Resulting Numbers: [90, 45, 9] Generated Node #2: [90, 45, 9] from Operation: 75-66=9 Current State: 85:[90, 45, 9], Operations: ['75-66=9'] Exploring Operation: 45/9=5, Resulting Numbers: [90, 5] Generated Node #3: [90, 5] from Operation: 45/9=5 Current State: 85:[90, 5], Operations: ['75-66=9', '45/9=5'] Exploring Operation: 90-5=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 12, 77, 82, 24 ]
72
[ "24/12=2", "77*2=154", "154-82=72" ]
Current State: 72:[12, 77, 82, 24], Operations: [] Exploring Operation: 24/12=2, Resulting Numbers: [77, 82, 2] Generated Node #2: [77, 82, 2] from Operation: 24/12=2 Current State: 72:[77, 82, 2], Operations: ['24/12=2'] Exploring Operation: 77*2=154, Resulting Numbers: [82, 154] Generated Node #3: [82, 154] from Operation: 77*2=154 Current State: 72:[82, 154], Operations: ['24/12=2', '77*2=154'] Exploring Operation: 154-82=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 97, 51, 85, 3 ]
87
[ "97-85=12", "3*12=36", "51+36=87" ]
Current State: 87:[97, 51, 85, 3], Operations: [] Exploring Operation: 97-85=12, Resulting Numbers: [51, 3, 12] Generated Node #2: [51, 3, 12] from Operation: 97-85=12 Current State: 87:[51, 3, 12], Operations: ['97-85=12'] Exploring Operation: 3*12=36, Resulting Numbers: [51, 36] Generated Node #3: [51, 36] from Operation: 3*12=36 Current State: 87:[51, 36], Operations: ['97-85=12', '3*12=36'] Exploring Operation: 51+36=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 48, 5, 42, 51 ]
64
[ "5+51=56", "48*56=2688", "2688/42=64" ]
Current State: 64:[48, 5, 42, 51], Operations: [] Exploring Operation: 5+51=56, Resulting Numbers: [48, 42, 56] Generated Node #2: [48, 42, 56] from Operation: 5+51=56 Current State: 64:[48, 42, 56], Operations: ['5+51=56'] Exploring Operation: 48*56=2688, Resulting Numbers: [42, 2688] Generated Node #3: [42, 2688] from Operation: 48*56=2688 Current State: 64:[42, 2688], Operations: ['5+51=56', '48*56=2688'] Exploring Operation: 2688/42=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 72, 58, 9, 55 ]
66
[ "72+58=130", "9+55=64", "130-64=66" ]
Current State: 66:[72, 58, 9, 55], Operations: [] Exploring Operation: 72+58=130, Resulting Numbers: [9, 55, 130] Generated Node #2: [9, 55, 130] from Operation: 72+58=130 Current State: 66:[9, 55, 130], Operations: ['72+58=130'] Exploring Operation: 9+55=64, Resulting Numbers: [130, 64] Generated Node #3: [130, 64] from Operation: 9+55=64 Current State: 66:[130, 64], Operations: ['72+58=130', '9+55=64'] Exploring Operation: 130-64=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 29, 35, 22, 43 ]
17
[ "29*22=638", "638-43=595", "595/35=17" ]
Current State: 17:[29, 35, 22, 43], Operations: [] Exploring Operation: 29*22=638, Resulting Numbers: [35, 43, 638] Generated Node #2: [35, 43, 638] from Operation: 29*22=638 Current State: 17:[35, 43, 638], Operations: ['29*22=638'] Exploring Operation: 638-43=595, Resulting Numbers: [35, 595] Generated Node #3: [35, 595] from Operation: 638-43=595 Current State: 17:[35, 595], Operations: ['29*22=638', '638-43=595'] Exploring Operation: 595/35=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 19, 27, 35, 95 ]
57
[ "95/19=5", "27+35=62", "62-5=57" ]
Current State: 57:[19, 27, 35, 95], Operations: [] Exploring Operation: 95/19=5, Resulting Numbers: [27, 35, 5] Generated Node #2: [27, 35, 5] from Operation: 95/19=5 Current State: 57:[27, 35, 5], Operations: ['95/19=5'] Exploring Operation: 27+35=62, Resulting Numbers: [5, 62] Generated Node #3: [5, 62] from Operation: 27+35=62 Current State: 57:[5, 62], Operations: ['95/19=5', '27+35=62'] Exploring Operation: 62-5=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 54, 47, 39, 49 ]
69
[ "49-47=2", "54*2=108", "108-39=69" ]
Current State: 69:[54, 47, 39, 49], Operations: [] Exploring Operation: 49-47=2, Resulting Numbers: [54, 39, 2] Generated Node #2: [54, 39, 2] from Operation: 49-47=2 Current State: 69:[54, 39, 2], Operations: ['49-47=2'] Exploring Operation: 54*2=108, Resulting Numbers: [39, 108] Generated Node #3: [39, 108] from Operation: 54*2=108 Current State: 69:[39, 108], Operations: ['49-47=2', '54*2=108'] Exploring Operation: 108-39=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 32, 87, 69, 45 ]
80
[ "32*45=1440", "87-69=18", "1440/18=80" ]
Current State: 80:[32, 87, 69, 45], Operations: [] Exploring Operation: 32*45=1440, Resulting Numbers: [87, 69, 1440] Generated Node #2: [87, 69, 1440] from Operation: 32*45=1440 Current State: 80:[87, 69, 1440], Operations: ['32*45=1440'] Exploring Operation: 87-69=18, Resulting Numbers: [1440, 18] Generated Node #3: [1440, 18] from Operation: 87-69=18 Current State: 80:[1440, 18], Operations: ['32*45=1440', '87-69=18'] Exploring Operation: 1440/18=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 7, 65, 3, 74 ]
100
[ "65-7=58", "3*58=174", "174-74=100" ]
Current State: 100:[7, 65, 3, 74], Operations: [] Exploring Operation: 65-7=58, Resulting Numbers: [3, 74, 58] Generated Node #2: [3, 74, 58] from Operation: 65-7=58 Current State: 100:[3, 74, 58], Operations: ['65-7=58'] Exploring Operation: 3*58=174, Resulting Numbers: [74, 174] Generated Node #3: [74, 174] from Operation: 3*58=174 Current State: 100:[74, 174], Operations: ['65-7=58', '3*58=174'] Exploring Operation: 174-74=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 88, 22, 60, 83 ]
27
[ "88/22=4", "83-60=23", "4+23=27" ]
Current State: 27:[88, 22, 60, 83], Operations: [] Exploring Operation: 88/22=4, Resulting Numbers: [60, 83, 4] Generated Node #2: [60, 83, 4] from Operation: 88/22=4 Current State: 27:[60, 83, 4], Operations: ['88/22=4'] Exploring Operation: 83-60=23, Resulting Numbers: [4, 23] Generated Node #3: [4, 23] from Operation: 83-60=23 Current State: 27:[4, 23], Operations: ['88/22=4', '83-60=23'] Exploring Operation: 4+23=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 20, 78, 40, 23 ]
75
[ "78-20=58", "40-23=17", "58+17=75" ]
Current State: 75:[20, 78, 40, 23], Operations: [] Exploring Operation: 78-20=58, Resulting Numbers: [40, 23, 58] Generated Node #2: [40, 23, 58] from Operation: 78-20=58 Current State: 75:[40, 23, 58], Operations: ['78-20=58'] Exploring Operation: 40-23=17, Resulting Numbers: [58, 17] Generated Node #3: [58, 17] from Operation: 40-23=17 Current State: 75:[58, 17], Operations: ['78-20=58', '40-23=17'] Exploring Operation: 58+17=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 92, 82, 65, 90 ]
35
[ "92-82=10", "90-65=25", "10+25=35" ]
Current State: 35:[92, 82, 65, 90], Operations: [] Exploring Operation: 92-82=10, Resulting Numbers: [65, 90, 10] Generated Node #2: [65, 90, 10] from Operation: 92-82=10 Current State: 35:[65, 90, 10], Operations: ['92-82=10'] Exploring Operation: 90-65=25, Resulting Numbers: [10, 25] Generated Node #3: [10, 25] from Operation: 90-65=25 Current State: 35:[10, 25], Operations: ['92-82=10', '90-65=25'] Exploring Operation: 10+25=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 48, 37, 12, 96 ]
86
[ "96/48=2", "37*2=74", "12+74=86" ]
Current State: 86:[48, 37, 12, 96], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [37, 12, 2] Generated Node #2: [37, 12, 2] from Operation: 96/48=2 Current State: 86:[37, 12, 2], Operations: ['96/48=2'] Exploring Operation: 37*2=74, Resulting Numbers: [12, 74] Generated Node #3: [12, 74] from Operation: 37*2=74 Current State: 86:[12, 74], Operations: ['96/48=2', '37*2=74'] Exploring Operation: 12+74=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 88, 15, 5, 24 ]
96
[ "15/5=3", "24/3=8", "88+8=96" ]
Current State: 96:[88, 15, 5, 24], Operations: [] Exploring Operation: 15/5=3, Resulting Numbers: [88, 24, 3] Generated Node #2: [88, 24, 3] from Operation: 15/5=3 Current State: 96:[88, 24, 3], Operations: ['15/5=3'] Exploring Operation: 24/3=8, Resulting Numbers: [88, 8] Generated Node #3: [88, 8] from Operation: 24/3=8 Current State: 96:[88, 8], Operations: ['15/5=3', '24/3=8'] Exploring Operation: 88+8=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 26, 2, 40, 15 ]
10
[ "2*15=30", "30-26=4", "40/4=10" ]
Current State: 10:[26, 2, 40, 15], Operations: [] Exploring Operation: 2*15=30, Resulting Numbers: [26, 40, 30] Generated Node #2: [26, 40, 30] from Operation: 2*15=30 Current State: 10:[26, 40, 30], Operations: ['2*15=30'] Exploring Operation: 30-26=4, Resulting Numbers: [40, 4] Generated Node #3: [40, 4] from Operation: 30-26=4 Current State: 10:[40, 4], Operations: ['2*15=30', '30-26=4'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 30, 11, 85, 77 ]
33
[ "30+11=41", "85-77=8", "41-8=33" ]
Current State: 33:[30, 11, 85, 77], Operations: [] Exploring Operation: 30+11=41, Resulting Numbers: [85, 77, 41] Generated Node #2: [85, 77, 41] from Operation: 30+11=41 Current State: 33:[85, 77, 41], Operations: ['30+11=41'] Exploring Operation: 85-77=8, Resulting Numbers: [41, 8] Generated Node #3: [41, 8] from Operation: 85-77=8 Current State: 33:[41, 8], Operations: ['30+11=41', '85-77=8'] Exploring Operation: 41-8=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 87, 73, 29, 38 ]
23
[ "87-73=14", "38-29=9", "14+9=23" ]
Current State: 23:[87, 73, 29, 38], Operations: [] Exploring Operation: 87-73=14, Resulting Numbers: [29, 38, 14] Generated Node #2: [29, 38, 14] from Operation: 87-73=14 Current State: 23:[29, 38, 14], Operations: ['87-73=14'] Exploring Operation: 38-29=9, Resulting Numbers: [14, 9] Generated Node #3: [14, 9] from Operation: 38-29=9 Current State: 23:[14, 9], Operations: ['87-73=14', '38-29=9'] Exploring Operation: 14+9=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 54, 43, 8, 66 ]
39
[ "54+43=97", "66-8=58", "97-58=39" ]
Current State: 39:[54, 43, 8, 66], Operations: [] Exploring Operation: 54+43=97, Resulting Numbers: [8, 66, 97] Generated Node #2: [8, 66, 97] from Operation: 54+43=97 Current State: 39:[8, 66, 97], Operations: ['54+43=97'] Exploring Operation: 66-8=58, Resulting Numbers: [97, 58] Generated Node #3: [97, 58] from Operation: 66-8=58 Current State: 39:[97, 58], Operations: ['54+43=97', '66-8=58'] Exploring Operation: 97-58=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 12, 16, 84, 62 ]
68
[ "12+84=96", "96/16=6", "62+6=68" ]
Current State: 68:[12, 16, 84, 62], Operations: [] Exploring Operation: 12+84=96, Resulting Numbers: [16, 62, 96] Generated Node #2: [16, 62, 96] from Operation: 12+84=96 Current State: 68:[16, 62, 96], Operations: ['12+84=96'] Exploring Operation: 96/16=6, Resulting Numbers: [62, 6] Generated Node #3: [62, 6] from Operation: 96/16=6 Current State: 68:[62, 6], Operations: ['12+84=96', '96/16=6'] Exploring Operation: 62+6=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 88, 72, 60, 57 ]
48
[ "88-72=16", "60-57=3", "16*3=48" ]
Current State: 48:[88, 72, 60, 57], Operations: [] Exploring Operation: 88-72=16, Resulting Numbers: [60, 57, 16] Generated Node #2: [60, 57, 16] from Operation: 88-72=16 Current State: 48:[60, 57, 16], Operations: ['88-72=16'] Exploring Operation: 60-57=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 60-57=3 Current State: 48:[16, 3], Operations: ['88-72=16', '60-57=3'] Exploring Operation: 16*3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 62, 50, 19, 3 ]
96
[ "62+50=112", "19-3=16", "112-16=96" ]
Current State: 96:[62, 50, 19, 3], Operations: [] Exploring Operation: 62+50=112, Resulting Numbers: [19, 3, 112] Generated Node #2: [19, 3, 112] from Operation: 62+50=112 Current State: 96:[19, 3, 112], Operations: ['62+50=112'] Exploring Operation: 19-3=16, Resulting Numbers: [112, 16] Generated Node #3: [112, 16] from Operation: 19-3=16 Current State: 96:[112, 16], Operations: ['62+50=112', '19-3=16'] Exploring Operation: 112-16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 78, 63, 92, 20 ]
97
[ "78-63=15", "92+20=112", "112-15=97" ]
Current State: 97:[78, 63, 92, 20], Operations: [] Exploring Operation: 78-63=15, Resulting Numbers: [92, 20, 15] Generated Node #2: [92, 20, 15] from Operation: 78-63=15 Current State: 97:[92, 20, 15], Operations: ['78-63=15'] Exploring Operation: 92+20=112, Resulting Numbers: [15, 112] Generated Node #3: [15, 112] from Operation: 92+20=112 Current State: 97:[15, 112], Operations: ['78-63=15', '92+20=112'] Exploring Operation: 112-15=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 2, 62, 63, 95 ]
48
[ "63-62=1", "95+1=96", "96/2=48" ]
Current State: 48:[2, 62, 63, 95], Operations: [] Exploring Operation: 63-62=1, Resulting Numbers: [2, 95, 1] Generated Node #2: [2, 95, 1] from Operation: 63-62=1 Current State: 48:[2, 95, 1], Operations: ['63-62=1'] Exploring Operation: 95+1=96, Resulting Numbers: [2, 96] Generated Node #3: [2, 96] from Operation: 95+1=96 Current State: 48:[2, 96], Operations: ['63-62=1', '95+1=96'] Exploring Operation: 96/2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 5, 13, 58, 42 ]
47
[ "13+42=55", "55/5=11", "58-11=47" ]
Current State: 47:[5, 13, 58, 42], Operations: [] Exploring Operation: 13+42=55, Resulting Numbers: [5, 58, 55] Generated Node #2: [5, 58, 55] from Operation: 13+42=55 Current State: 47:[5, 58, 55], Operations: ['13+42=55'] Exploring Operation: 55/5=11, Resulting Numbers: [58, 11] Generated Node #3: [58, 11] from Operation: 55/5=11 Current State: 47:[58, 11], Operations: ['13+42=55', '55/5=11'] Exploring Operation: 58-11=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 53, 96, 45, 61 ]
73
[ "53-45=8", "96/8=12", "61+12=73" ]
Current State: 73:[53, 96, 45, 61], Operations: [] Exploring Operation: 53-45=8, Resulting Numbers: [96, 61, 8] Generated Node #2: [96, 61, 8] from Operation: 53-45=8 Current State: 73:[96, 61, 8], Operations: ['53-45=8'] Exploring Operation: 96/8=12, Resulting Numbers: [61, 12] Generated Node #3: [61, 12] from Operation: 96/8=12 Current State: 73:[61, 12], Operations: ['53-45=8', '96/8=12'] Exploring Operation: 61+12=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 4, 52, 20, 34 ]
23
[ "20/4=5", "52-34=18", "5+18=23" ]
Current State: 23:[4, 52, 20, 34], Operations: [] Exploring Operation: 20/4=5, Resulting Numbers: [52, 34, 5] Generated Node #2: [52, 34, 5] from Operation: 20/4=5 Current State: 23:[52, 34, 5], Operations: ['20/4=5'] Exploring Operation: 52-34=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 52-34=18 Current State: 23:[5, 18], Operations: ['20/4=5', '52-34=18'] Exploring Operation: 5+18=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4