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
[ 20, 90, 45, 26 ]
30
[ "26-20=6", "90/6=15", "45-15=30" ]
Current State: 30:[20, 90, 45, 26], Operations: [] Exploring Operation: 26-20=6, Resulting Numbers: [90, 45, 6] Generated Node #2: [90, 45, 6] from Operation: 26-20=6 Current State: 30:[90, 45, 6], Operations: ['26-20=6'] Exploring Operation: 90/6=15, Resulting Numbers: [45, 15] Generated Node #3: [45, 15] from Operation: 90/6=15 Current State: 30:[45, 15], Operations: ['26-20=6', '90/6=15'] Exploring Operation: 45-15=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 10, 79, 17, 86 ]
87
[ "86-79=7", "10*7=70", "17+70=87" ]
Current State: 87:[10, 79, 17, 86], Operations: [] Exploring Operation: 86-79=7, Resulting Numbers: [10, 17, 7] Generated Node #2: [10, 17, 7] from Operation: 86-79=7 Current State: 87:[10, 17, 7], Operations: ['86-79=7'] Exploring Operation: 10*7=70, Resulting Numbers: [17, 70] Generated Node #3: [17, 70] from Operation: 10*7=70 Current State: 87:[17, 70], Operations: ['86-79=7', '10*7=70'] Exploring Operation: 17+70=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 22, 35, 92, 9 ]
71
[ "22*9=198", "35+92=127", "198-127=71" ]
Current State: 71:[22, 35, 92, 9], Operations: [] Exploring Operation: 22*9=198, Resulting Numbers: [35, 92, 198] Generated Node #2: [35, 92, 198] from Operation: 22*9=198 Current State: 71:[35, 92, 198], Operations: ['22*9=198'] Exploring Operation: 35+92=127, Resulting Numbers: [198, 127] Generated Node #3: [198, 127] from Operation: 35+92=127 Current State: 71:[198, 127], Operations: ['22*9=198', '35+92=127'] Exploring Operation: 198-127=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 14, 31, 31, 21 ]
55
[ "14+31=45", "31-21=10", "45+10=55" ]
Current State: 55:[14, 31, 31, 21], Operations: [] Exploring Operation: 14+31=45, Resulting Numbers: [21, 45] Generated Node #2: [21, 45] from Operation: 14+31=45 Current State: 55:[21, 45], Operations: ['14+31=45'] Exploring Operation: 31-21=10, Resulting Numbers: [45, 10] Generated Node #3: [45, 10] from Operation: 31-21=10 Current State: 55:[45, 10], Operations: ['14+31=45', '31-21=10'] Exploring Operation: 45+10=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 40, 72, 34, 73 ]
74
[ "40+34=74", "73-72=1", "74*1=74" ]
Current State: 74:[40, 72, 34, 73], Operations: [] Exploring Operation: 40+34=74, Resulting Numbers: [72, 73, 74] Generated Node #2: [72, 73, 74] from Operation: 40+34=74 Current State: 74:[72, 73, 74], Operations: ['40+34=74'] Exploring Operation: 73-72=1, Resulting Numbers: [74, 1] Generated Node #3: [74, 1] from Operation: 73-72=1 Current State: 74:[74, 1], Operations: ['40+34=74', '73-72=1'] Exploring Operation: 74*1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 43, 84, 37, 28 ]
50
[ "84-43=41", "37-28=9", "41+9=50" ]
Current State: 50:[43, 84, 37, 28], Operations: [] Exploring Operation: 84-43=41, Resulting Numbers: [37, 28, 41] Generated Node #2: [37, 28, 41] from Operation: 84-43=41 Current State: 50:[37, 28, 41], Operations: ['84-43=41'] Exploring Operation: 37-28=9, Resulting Numbers: [41, 9] Generated Node #3: [41, 9] from Operation: 37-28=9 Current State: 50:[41, 9], Operations: ['84-43=41', '37-28=9'] Exploring Operation: 41+9=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 85, 6, 37, 50 ]
78
[ "85+6=91", "50-37=13", "91-13=78" ]
Current State: 78:[85, 6, 37, 50], Operations: [] Exploring Operation: 85+6=91, Resulting Numbers: [37, 50, 91] Generated Node #2: [37, 50, 91] from Operation: 85+6=91 Current State: 78:[37, 50, 91], Operations: ['85+6=91'] Exploring Operation: 50-37=13, Resulting Numbers: [91, 13] Generated Node #3: [91, 13] from Operation: 50-37=13 Current State: 78:[91, 13], Operations: ['85+6=91', '50-37=13'] Exploring Operation: 91-13=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 34, 82, 10, 29 ]
77
[ "34+82=116", "10+29=39", "116-39=77" ]
Current State: 77:[34, 82, 10, 29], Operations: [] Exploring Operation: 34+82=116, Resulting Numbers: [10, 29, 116] Generated Node #2: [10, 29, 116] from Operation: 34+82=116 Current State: 77:[10, 29, 116], Operations: ['34+82=116'] Exploring Operation: 10+29=39, Resulting Numbers: [116, 39] Generated Node #3: [116, 39] from Operation: 10+29=39 Current State: 77:[116, 39], Operations: ['34+82=116', '10+29=39'] Exploring Operation: 116-39=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 34, 34, 36, 90 ]
14
[ "34+34=68", "90-36=54", "68-54=14" ]
Current State: 14:[34, 34, 36, 90], Operations: [] Exploring Operation: 34+34=68, Resulting Numbers: [36, 90, 68] Generated Node #2: [36, 90, 68] from Operation: 34+34=68 Current State: 14:[36, 90, 68], Operations: ['34+34=68'] Exploring Operation: 90-36=54, Resulting Numbers: [68, 54] Generated Node #3: [68, 54] from Operation: 90-36=54 Current State: 14:[68, 54], Operations: ['34+34=68', '90-36=54'] Exploring Operation: 68-54=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 65, 73, 63, 3 ]
91
[ "65+63=128", "73*3=219", "219-128=91" ]
Current State: 91:[65, 73, 63, 3], Operations: [] Exploring Operation: 65+63=128, Resulting Numbers: [73, 3, 128] Generated Node #2: [73, 3, 128] from Operation: 65+63=128 Current State: 91:[73, 3, 128], Operations: ['65+63=128'] Exploring Operation: 73*3=219, Resulting Numbers: [128, 219] Generated Node #3: [128, 219] from Operation: 73*3=219 Current State: 91:[128, 219], Operations: ['65+63=128', '73*3=219'] Exploring Operation: 219-128=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 48, 74, 80, 72 ]
56
[ "74-72=2", "48/2=24", "80-24=56" ]
Current State: 56:[48, 74, 80, 72], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [48, 80, 2] Generated Node #2: [48, 80, 2] from Operation: 74-72=2 Current State: 56:[48, 80, 2], Operations: ['74-72=2'] Exploring Operation: 48/2=24, Resulting Numbers: [80, 24] Generated Node #3: [80, 24] from Operation: 48/2=24 Current State: 56:[80, 24], Operations: ['74-72=2', '48/2=24'] Exploring Operation: 80-24=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 3, 41, 57, 9 ]
22
[ "3+41=44", "57+9=66", "66-44=22" ]
Current State: 22:[3, 41, 57, 9], Operations: [] Exploring Operation: 3+41=44, Resulting Numbers: [57, 9, 44] Generated Node #2: [57, 9, 44] from Operation: 3+41=44 Current State: 22:[57, 9, 44], Operations: ['3+41=44'] Exploring Operation: 57+9=66, Resulting Numbers: [44, 66] Generated Node #3: [44, 66] from Operation: 57+9=66 Current State: 22:[44, 66], Operations: ['3+41=44', '57+9=66'] Exploring Operation: 66-44=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 49, 23, 90, 24 ]
40
[ "49-23=26", "90-24=66", "66-26=40" ]
Current State: 40:[49, 23, 90, 24], Operations: [] Exploring Operation: 49-23=26, Resulting Numbers: [90, 24, 26] Generated Node #2: [90, 24, 26] from Operation: 49-23=26 Current State: 40:[90, 24, 26], Operations: ['49-23=26'] Exploring Operation: 90-24=66, Resulting Numbers: [26, 66] Generated Node #3: [26, 66] from Operation: 90-24=66 Current State: 40:[26, 66], Operations: ['49-23=26', '90-24=66'] Exploring Operation: 66-26=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 32, 86, 74, 22 ]
72
[ "86-22=64", "64/32=2", "74-2=72" ]
Current State: 72:[32, 86, 74, 22], Operations: [] Exploring Operation: 86-22=64, Resulting Numbers: [32, 74, 64] Generated Node #2: [32, 74, 64] from Operation: 86-22=64 Current State: 72:[32, 74, 64], Operations: ['86-22=64'] Exploring Operation: 64/32=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 64/32=2 Current State: 72:[74, 2], Operations: ['86-22=64', '64/32=2'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 27, 68, 78, 10 ]
73
[ "78-68=10", "10*10=100", "100-27=73" ]
Current State: 73:[27, 68, 78, 10], Operations: [] Exploring Operation: 78-68=10, Resulting Numbers: [27, 10, 10] Generated Node #2: [27, 10, 10] from Operation: 78-68=10 Current State: 73:[27, 10, 10], Operations: ['78-68=10'] Exploring Operation: 10*10=100, Resulting Numbers: [27, 100] Generated Node #3: [27, 100] from Operation: 10*10=100 Current State: 73:[27, 100], Operations: ['78-68=10', '10*10=100'] Exploring Operation: 100-27=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 49, 81, 3, 8 ]
58
[ "49*3=147", "81+8=89", "147-89=58" ]
Current State: 58:[49, 81, 3, 8], Operations: [] Exploring Operation: 49*3=147, Resulting Numbers: [81, 8, 147] Generated Node #2: [81, 8, 147] from Operation: 49*3=147 Current State: 58:[81, 8, 147], Operations: ['49*3=147'] Exploring Operation: 81+8=89, Resulting Numbers: [147, 89] Generated Node #3: [147, 89] from Operation: 81+8=89 Current State: 58:[147, 89], Operations: ['49*3=147', '81+8=89'] Exploring Operation: 147-89=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 90, 22, 86, 52 ]
70
[ "90-22=68", "86+52=138", "138-68=70" ]
Current State: 70:[90, 22, 86, 52], Operations: [] Exploring Operation: 90-22=68, Resulting Numbers: [86, 52, 68] Generated Node #2: [86, 52, 68] from Operation: 90-22=68 Current State: 70:[86, 52, 68], Operations: ['90-22=68'] Exploring Operation: 86+52=138, Resulting Numbers: [68, 138] Generated Node #3: [68, 138] from Operation: 86+52=138 Current State: 70:[68, 138], Operations: ['90-22=68', '86+52=138'] Exploring Operation: 138-68=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 27, 7, 30, 32 ]
75
[ "30-27=3", "32-7=25", "3*25=75" ]
Current State: 75:[27, 7, 30, 32], Operations: [] Exploring Operation: 30-27=3, Resulting Numbers: [7, 32, 3] Generated Node #2: [7, 32, 3] from Operation: 30-27=3 Current State: 75:[7, 32, 3], Operations: ['30-27=3'] Exploring Operation: 32-7=25, Resulting Numbers: [3, 25] Generated Node #3: [3, 25] from Operation: 32-7=25 Current State: 75:[3, 25], Operations: ['30-27=3', '32-7=25'] Exploring Operation: 3*25=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 8, 82, 26, 90 ]
90
[ "90-82=8", "8*8=64", "26+64=90" ]
Current State: 90:[8, 82, 26, 90], Operations: [] Exploring Operation: 90-82=8, Resulting Numbers: [8, 26, 8] Generated Node #2: [8, 26, 8] from Operation: 90-82=8 Current State: 90:[8, 26, 8], Operations: ['90-82=8'] Exploring Operation: 8*8=64, Resulting Numbers: [26, 64] Generated Node #3: [26, 64] from Operation: 8*8=64 Current State: 90:[26, 64], Operations: ['90-82=8', '8*8=64'] Exploring Operation: 26+64=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 22, 96, 51, 25 ]
83
[ "25-22=3", "96/3=32", "51+32=83" ]
Current State: 83:[22, 96, 51, 25], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [96, 51, 3] Generated Node #2: [96, 51, 3] from Operation: 25-22=3 Current State: 83:[96, 51, 3], Operations: ['25-22=3'] Exploring Operation: 96/3=32, Resulting Numbers: [51, 32] Generated Node #3: [51, 32] from Operation: 96/3=32 Current State: 83:[51, 32], Operations: ['25-22=3', '96/3=32'] Exploring Operation: 51+32=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 48, 4, 28, 17 ]
63
[ "48+4=52", "28-17=11", "52+11=63" ]
Current State: 63:[48, 4, 28, 17], Operations: [] Exploring Operation: 48+4=52, Resulting Numbers: [28, 17, 52] Generated Node #2: [28, 17, 52] from Operation: 48+4=52 Current State: 63:[28, 17, 52], Operations: ['48+4=52'] Exploring Operation: 28-17=11, Resulting Numbers: [52, 11] Generated Node #3: [52, 11] from Operation: 28-17=11 Current State: 63:[52, 11], Operations: ['48+4=52', '28-17=11'] Exploring Operation: 52+11=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 10, 7, 1, 42 ]
61
[ "10*42=420", "420/7=60", "1+60=61" ]
Current State: 61:[10, 7, 1, 42], Operations: [] Exploring Operation: 10*42=420, Resulting Numbers: [7, 1, 420] Generated Node #2: [7, 1, 420] from Operation: 10*42=420 Current State: 61:[7, 1, 420], Operations: ['10*42=420'] Exploring Operation: 420/7=60, Resulting Numbers: [1, 60] Generated Node #3: [1, 60] from Operation: 420/7=60 Current State: 61:[1, 60], Operations: ['10*42=420', '420/7=60'] Exploring Operation: 1+60=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 14, 88, 53, 18 ]
75
[ "18-14=4", "88/4=22", "53+22=75" ]
Current State: 75:[14, 88, 53, 18], Operations: [] Exploring Operation: 18-14=4, Resulting Numbers: [88, 53, 4] Generated Node #2: [88, 53, 4] from Operation: 18-14=4 Current State: 75:[88, 53, 4], Operations: ['18-14=4'] Exploring Operation: 88/4=22, Resulting Numbers: [53, 22] Generated Node #3: [53, 22] from Operation: 88/4=22 Current State: 75:[53, 22], Operations: ['18-14=4', '88/4=22'] Exploring Operation: 53+22=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 58, 55, 44, 45 ]
59
[ "58-55=3", "45/3=15", "44+15=59" ]
Current State: 59:[58, 55, 44, 45], Operations: [] Exploring Operation: 58-55=3, Resulting Numbers: [44, 45, 3] Generated Node #2: [44, 45, 3] from Operation: 58-55=3 Current State: 59:[44, 45, 3], Operations: ['58-55=3'] Exploring Operation: 45/3=15, Resulting Numbers: [44, 15] Generated Node #3: [44, 15] from Operation: 45/3=15 Current State: 59:[44, 15], Operations: ['58-55=3', '45/3=15'] Exploring Operation: 44+15=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 25, 11, 87, 6 ]
67
[ "25-11=14", "87-6=81", "81-14=67" ]
Current State: 67:[25, 11, 87, 6], Operations: [] Exploring Operation: 25-11=14, Resulting Numbers: [87, 6, 14] Generated Node #2: [87, 6, 14] from Operation: 25-11=14 Current State: 67:[87, 6, 14], Operations: ['25-11=14'] Exploring Operation: 87-6=81, Resulting Numbers: [14, 81] Generated Node #3: [14, 81] from Operation: 87-6=81 Current State: 67:[14, 81], Operations: ['25-11=14', '87-6=81'] Exploring Operation: 81-14=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 25, 57, 56, 57 ]
83
[ "25+57=82", "57-56=1", "82+1=83" ]
Current State: 83:[25, 57, 56, 57], Operations: [] Exploring Operation: 25+57=82, Resulting Numbers: [56, 82] Generated Node #2: [56, 82] from Operation: 25+57=82 Current State: 83:[56, 82], Operations: ['25+57=82'] Exploring Operation: 57-56=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 57-56=1 Current State: 83:[82, 1], Operations: ['25+57=82', '57-56=1'] Exploring Operation: 82+1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 29, 13, 3, 25 ]
23
[ "29-13=16", "3*16=48", "48-25=23" ]
Current State: 23:[29, 13, 3, 25], Operations: [] Exploring Operation: 29-13=16, Resulting Numbers: [3, 25, 16] Generated Node #2: [3, 25, 16] from Operation: 29-13=16 Current State: 23:[3, 25, 16], Operations: ['29-13=16'] Exploring Operation: 3*16=48, Resulting Numbers: [25, 48] Generated Node #3: [25, 48] from Operation: 3*16=48 Current State: 23:[25, 48], Operations: ['29-13=16', '3*16=48'] Exploring Operation: 48-25=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 94, 46, 32, 3 ]
13
[ "94-46=48", "32+3=35", "48-35=13" ]
Current State: 13:[94, 46, 32, 3], Operations: [] Exploring Operation: 94-46=48, Resulting Numbers: [32, 3, 48] Generated Node #2: [32, 3, 48] from Operation: 94-46=48 Current State: 13:[32, 3, 48], Operations: ['94-46=48'] Exploring Operation: 32+3=35, Resulting Numbers: [48, 35] Generated Node #3: [48, 35] from Operation: 32+3=35 Current State: 13:[48, 35], Operations: ['94-46=48', '32+3=35'] Exploring Operation: 48-35=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 40, 42, 85, 6 ]
82
[ "42-40=2", "6/2=3", "85-3=82" ]
Current State: 82:[40, 42, 85, 6], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [85, 6, 2] Generated Node #2: [85, 6, 2] from Operation: 42-40=2 Current State: 82:[85, 6, 2], Operations: ['42-40=2'] Exploring Operation: 6/2=3, Resulting Numbers: [85, 3] Generated Node #3: [85, 3] from Operation: 6/2=3 Current State: 82:[85, 3], Operations: ['42-40=2', '6/2=3'] Exploring Operation: 85-3=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 50, 32, 94, 98 ]
78
[ "50+32=82", "98-94=4", "82-4=78" ]
Current State: 78:[50, 32, 94, 98], Operations: [] Exploring Operation: 50+32=82, Resulting Numbers: [94, 98, 82] Generated Node #2: [94, 98, 82] from Operation: 50+32=82 Current State: 78:[94, 98, 82], Operations: ['50+32=82'] Exploring Operation: 98-94=4, Resulting Numbers: [82, 4] Generated Node #3: [82, 4] from Operation: 98-94=4 Current State: 78:[82, 4], Operations: ['50+32=82', '98-94=4'] Exploring Operation: 82-4=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 11, 79, 38, 36 ]
16
[ "11+79=90", "38+36=74", "90-74=16" ]
Current State: 16:[11, 79, 38, 36], Operations: [] Exploring Operation: 11+79=90, Resulting Numbers: [38, 36, 90] Generated Node #2: [38, 36, 90] from Operation: 11+79=90 Current State: 16:[38, 36, 90], Operations: ['11+79=90'] Exploring Operation: 38+36=74, Resulting Numbers: [90, 74] Generated Node #3: [90, 74] from Operation: 38+36=74 Current State: 16:[90, 74], Operations: ['11+79=90', '38+36=74'] Exploring Operation: 90-74=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 30, 16, 80, 68 ]
58
[ "30+16=46", "80-68=12", "46+12=58" ]
Current State: 58:[30, 16, 80, 68], Operations: [] Exploring Operation: 30+16=46, Resulting Numbers: [80, 68, 46] Generated Node #2: [80, 68, 46] from Operation: 30+16=46 Current State: 58:[80, 68, 46], Operations: ['30+16=46'] Exploring Operation: 80-68=12, Resulting Numbers: [46, 12] Generated Node #3: [46, 12] from Operation: 80-68=12 Current State: 58:[46, 12], Operations: ['30+16=46', '80-68=12'] Exploring Operation: 46+12=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 37, 3, 51, 74 ]
94
[ "37+74=111", "51/3=17", "111-17=94" ]
Current State: 94:[37, 3, 51, 74], Operations: [] Exploring Operation: 37+74=111, Resulting Numbers: [3, 51, 111] Generated Node #2: [3, 51, 111] from Operation: 37+74=111 Current State: 94:[3, 51, 111], Operations: ['37+74=111'] Exploring Operation: 51/3=17, Resulting Numbers: [111, 17] Generated Node #3: [111, 17] from Operation: 51/3=17 Current State: 94:[111, 17], Operations: ['37+74=111', '51/3=17'] Exploring Operation: 111-17=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 66, 76, 6, 29 ]
18
[ "76*6=456", "66+456=522", "522/29=18" ]
Current State: 18:[66, 76, 6, 29], Operations: [] Exploring Operation: 76*6=456, Resulting Numbers: [66, 29, 456] Generated Node #2: [66, 29, 456] from Operation: 76*6=456 Current State: 18:[66, 29, 456], Operations: ['76*6=456'] Exploring Operation: 66+456=522, Resulting Numbers: [29, 522] Generated Node #3: [29, 522] from Operation: 66+456=522 Current State: 18:[29, 522], Operations: ['76*6=456', '66+456=522'] Exploring Operation: 522/29=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 36, 70, 32, 1 ]
65
[ "70-36=34", "32-1=31", "34+31=65" ]
Current State: 65:[36, 70, 32, 1], Operations: [] Exploring Operation: 70-36=34, Resulting Numbers: [32, 1, 34] Generated Node #2: [32, 1, 34] from Operation: 70-36=34 Current State: 65:[32, 1, 34], Operations: ['70-36=34'] Exploring Operation: 32-1=31, Resulting Numbers: [34, 31] Generated Node #3: [34, 31] from Operation: 32-1=31 Current State: 65:[34, 31], Operations: ['70-36=34', '32-1=31'] Exploring Operation: 34+31=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 29, 88, 16, 4 ]
51
[ "88*4=352", "352/16=22", "29+22=51" ]
Current State: 51:[29, 88, 16, 4], Operations: [] Exploring Operation: 88*4=352, Resulting Numbers: [29, 16, 352] Generated Node #2: [29, 16, 352] from Operation: 88*4=352 Current State: 51:[29, 16, 352], Operations: ['88*4=352'] Exploring Operation: 352/16=22, Resulting Numbers: [29, 22] Generated Node #3: [29, 22] from Operation: 352/16=22 Current State: 51:[29, 22], Operations: ['88*4=352', '352/16=22'] Exploring Operation: 29+22=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 17, 93, 48, 14 ]
17
[ "48-17=31", "93/31=3", "14+3=17" ]
Current State: 17:[17, 93, 48, 14], Operations: [] Exploring Operation: 48-17=31, Resulting Numbers: [93, 14, 31] Generated Node #2: [93, 14, 31] from Operation: 48-17=31 Current State: 17:[93, 14, 31], Operations: ['48-17=31'] Exploring Operation: 93/31=3, Resulting Numbers: [14, 3] Generated Node #3: [14, 3] from Operation: 93/31=3 Current State: 17:[14, 3], Operations: ['48-17=31', '93/31=3'] Exploring Operation: 14+3=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 83, 83, 89, 95 ]
95
[ "83-83=0", "89*0=0", "95+0=95" ]
Current State: 95:[83, 83, 89, 95], Operations: [] Exploring Operation: 83-83=0, Resulting Numbers: [89, 95, 0] Generated Node #2: [89, 95, 0] from Operation: 83-83=0 Current State: 95:[89, 95, 0], Operations: ['83-83=0'] Exploring Operation: 89*0=0, Resulting Numbers: [95, 0] Generated Node #3: [95, 0] from Operation: 89*0=0 Current State: 95:[95, 0], Operations: ['83-83=0', '89*0=0'] Exploring Operation: 95+0=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 46, 38, 10, 98 ]
18
[ "46-38=8", "10*8=80", "98-80=18" ]
Current State: 18:[46, 38, 10, 98], Operations: [] Exploring Operation: 46-38=8, Resulting Numbers: [10, 98, 8] Generated Node #2: [10, 98, 8] from Operation: 46-38=8 Current State: 18:[10, 98, 8], Operations: ['46-38=8'] Exploring Operation: 10*8=80, Resulting Numbers: [98, 80] Generated Node #3: [98, 80] from Operation: 10*8=80 Current State: 18:[98, 80], Operations: ['46-38=8', '10*8=80'] Exploring Operation: 98-80=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 39, 91, 83, 51 ]
82
[ "91-39=52", "83+51=134", "134-52=82" ]
Current State: 82:[39, 91, 83, 51], Operations: [] Exploring Operation: 91-39=52, Resulting Numbers: [83, 51, 52] Generated Node #2: [83, 51, 52] from Operation: 91-39=52 Current State: 82:[83, 51, 52], Operations: ['91-39=52'] Exploring Operation: 83+51=134, Resulting Numbers: [52, 134] Generated Node #3: [52, 134] from Operation: 83+51=134 Current State: 82:[52, 134], Operations: ['91-39=52', '83+51=134'] Exploring Operation: 134-52=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 19, 35, 3, 86 ]
35
[ "19+35=54", "3+86=89", "89-54=35" ]
Current State: 35:[19, 35, 3, 86], Operations: [] Exploring Operation: 19+35=54, Resulting Numbers: [3, 86, 54] Generated Node #2: [3, 86, 54] from Operation: 19+35=54 Current State: 35:[3, 86, 54], Operations: ['19+35=54'] Exploring Operation: 3+86=89, Resulting Numbers: [54, 89] Generated Node #3: [54, 89] from Operation: 3+86=89 Current State: 35:[54, 89], Operations: ['19+35=54', '3+86=89'] Exploring Operation: 89-54=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 5, 51, 70, 82 ]
68
[ "5+51=56", "82-70=12", "56+12=68" ]
Current State: 68:[5, 51, 70, 82], Operations: [] Exploring Operation: 5+51=56, Resulting Numbers: [70, 82, 56] Generated Node #2: [70, 82, 56] from Operation: 5+51=56 Current State: 68:[70, 82, 56], Operations: ['5+51=56'] Exploring Operation: 82-70=12, Resulting Numbers: [56, 12] Generated Node #3: [56, 12] from Operation: 82-70=12 Current State: 68:[56, 12], Operations: ['5+51=56', '82-70=12'] Exploring Operation: 56+12=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 96, 36, 58, 45 ]
73
[ "96-36=60", "58-45=13", "60+13=73" ]
Current State: 73:[96, 36, 58, 45], Operations: [] Exploring Operation: 96-36=60, Resulting Numbers: [58, 45, 60] Generated Node #2: [58, 45, 60] from Operation: 96-36=60 Current State: 73:[58, 45, 60], Operations: ['96-36=60'] Exploring Operation: 58-45=13, Resulting Numbers: [60, 13] Generated Node #3: [60, 13] from Operation: 58-45=13 Current State: 73:[60, 13], Operations: ['96-36=60', '58-45=13'] Exploring Operation: 60+13=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 36, 57, 74, 37 ]
75
[ "36*37=1332", "1332/74=18", "57+18=75" ]
Current State: 75:[36, 57, 74, 37], Operations: [] Exploring Operation: 36*37=1332, Resulting Numbers: [57, 74, 1332] Generated Node #2: [57, 74, 1332] from Operation: 36*37=1332 Current State: 75:[57, 74, 1332], Operations: ['36*37=1332'] Exploring Operation: 1332/74=18, Resulting Numbers: [57, 18] Generated Node #3: [57, 18] from Operation: 1332/74=18 Current State: 75:[57, 18], Operations: ['36*37=1332', '1332/74=18'] Exploring Operation: 57+18=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 55, 21, 58, 93 ]
41
[ "55+21=76", "93-58=35", "76-35=41" ]
Current State: 41:[55, 21, 58, 93], Operations: [] Exploring Operation: 55+21=76, Resulting Numbers: [58, 93, 76] Generated Node #2: [58, 93, 76] from Operation: 55+21=76 Current State: 41:[58, 93, 76], Operations: ['55+21=76'] Exploring Operation: 93-58=35, Resulting Numbers: [76, 35] Generated Node #3: [76, 35] from Operation: 93-58=35 Current State: 41:[76, 35], Operations: ['55+21=76', '93-58=35'] Exploring Operation: 76-35=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 10, 3, 56, 19 ]
45
[ "10*3=30", "56+19=75", "75-30=45" ]
Current State: 45:[10, 3, 56, 19], Operations: [] Exploring Operation: 10*3=30, Resulting Numbers: [56, 19, 30] Generated Node #2: [56, 19, 30] from Operation: 10*3=30 Current State: 45:[56, 19, 30], Operations: ['10*3=30'] Exploring Operation: 56+19=75, Resulting Numbers: [30, 75] Generated Node #3: [30, 75] from Operation: 56+19=75 Current State: 45:[30, 75], Operations: ['10*3=30', '56+19=75'] Exploring Operation: 75-30=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 95, 51, 93, 47 ]
31
[ "95-51=44", "47-44=3", "93/3=31" ]
Current State: 31:[95, 51, 93, 47], Operations: [] Exploring Operation: 95-51=44, Resulting Numbers: [93, 47, 44] Generated Node #2: [93, 47, 44] from Operation: 95-51=44 Current State: 31:[93, 47, 44], Operations: ['95-51=44'] Exploring Operation: 47-44=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 47-44=3 Current State: 31:[93, 3], Operations: ['95-51=44', '47-44=3'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 42, 54, 99, 39 ]
81
[ "42-39=3", "54/3=18", "99-18=81" ]
Current State: 81:[42, 54, 99, 39], Operations: [] Exploring Operation: 42-39=3, Resulting Numbers: [54, 99, 3] Generated Node #2: [54, 99, 3] from Operation: 42-39=3 Current State: 81:[54, 99, 3], Operations: ['42-39=3'] Exploring Operation: 54/3=18, Resulting Numbers: [99, 18] Generated Node #3: [99, 18] from Operation: 54/3=18 Current State: 81:[99, 18], Operations: ['42-39=3', '54/3=18'] Exploring Operation: 99-18=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 24, 14, 3, 11 ]
74
[ "24/3=8", "11*8=88", "88-14=74" ]
Current State: 74:[24, 14, 3, 11], Operations: [] Exploring Operation: 24/3=8, Resulting Numbers: [14, 11, 8] Generated Node #2: [14, 11, 8] from Operation: 24/3=8 Current State: 74:[14, 11, 8], Operations: ['24/3=8'] Exploring Operation: 11*8=88, Resulting Numbers: [14, 88] Generated Node #3: [14, 88] from Operation: 11*8=88 Current State: 74:[14, 88], Operations: ['24/3=8', '11*8=88'] Exploring Operation: 88-14=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 49, 5, 56, 35 ]
49
[ "49*5=245", "245/35=7", "56-7=49" ]
Current State: 49:[49, 5, 56, 35], Operations: [] Exploring Operation: 49*5=245, Resulting Numbers: [56, 35, 245] Generated Node #2: [56, 35, 245] from Operation: 49*5=245 Current State: 49:[56, 35, 245], Operations: ['49*5=245'] Exploring Operation: 245/35=7, Resulting Numbers: [56, 7] Generated Node #3: [56, 7] from Operation: 245/35=7 Current State: 49:[56, 7], Operations: ['49*5=245', '245/35=7'] Exploring Operation: 56-7=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 5, 4, 27, 17 ]
62
[ "5*17=85", "27-4=23", "85-23=62" ]
Current State: 62:[5, 4, 27, 17], Operations: [] Exploring Operation: 5*17=85, Resulting Numbers: [4, 27, 85] Generated Node #2: [4, 27, 85] from Operation: 5*17=85 Current State: 62:[4, 27, 85], Operations: ['5*17=85'] Exploring Operation: 27-4=23, Resulting Numbers: [85, 23] Generated Node #3: [85, 23] from Operation: 27-4=23 Current State: 62:[85, 23], Operations: ['5*17=85', '27-4=23'] Exploring Operation: 85-23=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 23, 16, 3, 40 ]
50
[ "23-16=7", "3+40=43", "7+43=50" ]
Current State: 50:[23, 16, 3, 40], Operations: [] Exploring Operation: 23-16=7, Resulting Numbers: [3, 40, 7] Generated Node #2: [3, 40, 7] from Operation: 23-16=7 Current State: 50:[3, 40, 7], Operations: ['23-16=7'] Exploring Operation: 3+40=43, Resulting Numbers: [7, 43] Generated Node #3: [7, 43] from Operation: 3+40=43 Current State: 50:[7, 43], Operations: ['23-16=7', '3+40=43'] Exploring Operation: 7+43=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 40, 82, 7, 30 ]
84
[ "82-40=42", "42-30=12", "7*12=84" ]
Current State: 84:[40, 82, 7, 30], Operations: [] Exploring Operation: 82-40=42, Resulting Numbers: [7, 30, 42] Generated Node #2: [7, 30, 42] from Operation: 82-40=42 Current State: 84:[7, 30, 42], Operations: ['82-40=42'] Exploring Operation: 42-30=12, Resulting Numbers: [7, 12] Generated Node #3: [7, 12] from Operation: 42-30=12 Current State: 84:[7, 12], Operations: ['82-40=42', '42-30=12'] Exploring Operation: 7*12=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 2, 85, 23, 56 ]
19
[ "56-23=33", "2*33=66", "85-66=19" ]
Current State: 19:[2, 85, 23, 56], Operations: [] Exploring Operation: 56-23=33, Resulting Numbers: [2, 85, 33] Generated Node #2: [2, 85, 33] from Operation: 56-23=33 Current State: 19:[2, 85, 33], Operations: ['56-23=33'] Exploring Operation: 2*33=66, Resulting Numbers: [85, 66] Generated Node #3: [85, 66] from Operation: 2*33=66 Current State: 19:[85, 66], Operations: ['56-23=33', '2*33=66'] Exploring Operation: 85-66=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 90, 30, 9, 33 ]
96
[ "90+30=120", "33-9=24", "120-24=96" ]
Current State: 96:[90, 30, 9, 33], Operations: [] Exploring Operation: 90+30=120, Resulting Numbers: [9, 33, 120] Generated Node #2: [9, 33, 120] from Operation: 90+30=120 Current State: 96:[9, 33, 120], Operations: ['90+30=120'] Exploring Operation: 33-9=24, Resulting Numbers: [120, 24] Generated Node #3: [120, 24] from Operation: 33-9=24 Current State: 96:[120, 24], Operations: ['90+30=120', '33-9=24'] Exploring Operation: 120-24=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 5, 83, 85, 61 ]
25
[ "83-61=22", "5*22=110", "110-85=25" ]
Current State: 25:[5, 83, 85, 61], Operations: [] Exploring Operation: 83-61=22, Resulting Numbers: [5, 85, 22] Generated Node #2: [5, 85, 22] from Operation: 83-61=22 Current State: 25:[5, 85, 22], Operations: ['83-61=22'] Exploring Operation: 5*22=110, Resulting Numbers: [85, 110] Generated Node #3: [85, 110] from Operation: 5*22=110 Current State: 25:[85, 110], Operations: ['83-61=22', '5*22=110'] Exploring Operation: 110-85=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 32, 91, 5, 18 ]
36
[ "91-32=59", "5+18=23", "59-23=36" ]
Current State: 36:[32, 91, 5, 18], Operations: [] Exploring Operation: 91-32=59, Resulting Numbers: [5, 18, 59] Generated Node #2: [5, 18, 59] from Operation: 91-32=59 Current State: 36:[5, 18, 59], Operations: ['91-32=59'] Exploring Operation: 5+18=23, Resulting Numbers: [59, 23] Generated Node #3: [59, 23] from Operation: 5+18=23 Current State: 36:[59, 23], Operations: ['91-32=59', '5+18=23'] Exploring Operation: 59-23=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 93, 29, 48, 68 ]
51
[ "93-29=64", "48*68=3264", "3264/64=51" ]
Current State: 51:[93, 29, 48, 68], Operations: [] Exploring Operation: 93-29=64, Resulting Numbers: [48, 68, 64] Generated Node #2: [48, 68, 64] from Operation: 93-29=64 Current State: 51:[48, 68, 64], Operations: ['93-29=64'] Exploring Operation: 48*68=3264, Resulting Numbers: [64, 3264] Generated Node #3: [64, 3264] from Operation: 48*68=3264 Current State: 51:[64, 3264], Operations: ['93-29=64', '48*68=3264'] Exploring Operation: 3264/64=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 83, 43, 39, 68 ]
66
[ "43-39=4", "68/4=17", "83-17=66" ]
Current State: 66:[83, 43, 39, 68], Operations: [] Exploring Operation: 43-39=4, Resulting Numbers: [83, 68, 4] Generated Node #2: [83, 68, 4] from Operation: 43-39=4 Current State: 66:[83, 68, 4], Operations: ['43-39=4'] Exploring Operation: 68/4=17, Resulting Numbers: [83, 17] Generated Node #3: [83, 17] from Operation: 68/4=17 Current State: 66:[83, 17], Operations: ['43-39=4', '68/4=17'] Exploring Operation: 83-17=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 26, 18, 62, 27 ]
43
[ "26-18=8", "62-27=35", "8+35=43" ]
Current State: 43:[26, 18, 62, 27], Operations: [] Exploring Operation: 26-18=8, Resulting Numbers: [62, 27, 8] Generated Node #2: [62, 27, 8] from Operation: 26-18=8 Current State: 43:[62, 27, 8], Operations: ['26-18=8'] Exploring Operation: 62-27=35, Resulting Numbers: [8, 35] Generated Node #3: [8, 35] from Operation: 62-27=35 Current State: 43:[8, 35], Operations: ['26-18=8', '62-27=35'] Exploring Operation: 8+35=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 3, 19, 12, 63 ]
84
[ "19-3=16", "63*16=1008", "1008/12=84" ]
Current State: 84:[3, 19, 12, 63], Operations: [] Exploring Operation: 19-3=16, Resulting Numbers: [12, 63, 16] Generated Node #2: [12, 63, 16] from Operation: 19-3=16 Current State: 84:[12, 63, 16], Operations: ['19-3=16'] Exploring Operation: 63*16=1008, Resulting Numbers: [12, 1008] Generated Node #3: [12, 1008] from Operation: 63*16=1008 Current State: 84:[12, 1008], Operations: ['19-3=16', '63*16=1008'] Exploring Operation: 1008/12=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 62, 84, 19, 2 ]
39
[ "84-62=22", "19-2=17", "22+17=39" ]
Current State: 39:[62, 84, 19, 2], Operations: [] Exploring Operation: 84-62=22, Resulting Numbers: [19, 2, 22] Generated Node #2: [19, 2, 22] from Operation: 84-62=22 Current State: 39:[19, 2, 22], Operations: ['84-62=22'] Exploring Operation: 19-2=17, Resulting Numbers: [22, 17] Generated Node #3: [22, 17] from Operation: 19-2=17 Current State: 39:[22, 17], Operations: ['84-62=22', '19-2=17'] Exploring Operation: 22+17=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 7, 8, 46, 25 ]
15
[ "7*8=56", "46+25=71", "71-56=15" ]
Current State: 15:[7, 8, 46, 25], Operations: [] Exploring Operation: 7*8=56, Resulting Numbers: [46, 25, 56] Generated Node #2: [46, 25, 56] from Operation: 7*8=56 Current State: 15:[46, 25, 56], Operations: ['7*8=56'] Exploring Operation: 46+25=71, Resulting Numbers: [56, 71] Generated Node #3: [56, 71] from Operation: 46+25=71 Current State: 15:[56, 71], Operations: ['7*8=56', '46+25=71'] Exploring Operation: 71-56=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 62, 12, 98, 15 ]
12
[ "98-62=36", "15-12=3", "36/3=12" ]
Current State: 12:[62, 12, 98, 15], Operations: [] Exploring Operation: 98-62=36, Resulting Numbers: [12, 15, 36] Generated Node #2: [12, 15, 36] from Operation: 98-62=36 Current State: 12:[12, 15, 36], Operations: ['98-62=36'] Exploring Operation: 15-12=3, Resulting Numbers: [36, 3] Generated Node #3: [36, 3] from Operation: 15-12=3 Current State: 12:[36, 3], Operations: ['98-62=36', '15-12=3'] Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 91, 95, 11, 92 ]
77
[ "95-91=4", "92-11=81", "81-4=77" ]
Current State: 77:[91, 95, 11, 92], Operations: [] Exploring Operation: 95-91=4, Resulting Numbers: [11, 92, 4] Generated Node #2: [11, 92, 4] from Operation: 95-91=4 Current State: 77:[11, 92, 4], Operations: ['95-91=4'] Exploring Operation: 92-11=81, Resulting Numbers: [4, 81] Generated Node #3: [4, 81] from Operation: 92-11=81 Current State: 77:[4, 81], Operations: ['95-91=4', '92-11=81'] Exploring Operation: 81-4=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 26, 63, 5, 58 ]
90
[ "63-26=37", "58-5=53", "37+53=90" ]
Current State: 90:[26, 63, 5, 58], Operations: [] Exploring Operation: 63-26=37, Resulting Numbers: [5, 58, 37] Generated Node #2: [5, 58, 37] from Operation: 63-26=37 Current State: 90:[5, 58, 37], Operations: ['63-26=37'] Exploring Operation: 58-5=53, Resulting Numbers: [37, 53] Generated Node #3: [37, 53] from Operation: 58-5=53 Current State: 90:[37, 53], Operations: ['63-26=37', '58-5=53'] Exploring Operation: 37+53=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 50, 2, 73, 6 ]
65
[ "50-2=48", "48/6=8", "73-8=65" ]
Current State: 65:[50, 2, 73, 6], Operations: [] Exploring Operation: 50-2=48, Resulting Numbers: [73, 6, 48] Generated Node #2: [73, 6, 48] from Operation: 50-2=48 Current State: 65:[73, 6, 48], Operations: ['50-2=48'] Exploring Operation: 48/6=8, Resulting Numbers: [73, 8] Generated Node #3: [73, 8] from Operation: 48/6=8 Current State: 65:[73, 8], Operations: ['50-2=48', '48/6=8'] Exploring Operation: 73-8=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 11, 91, 31, 53 ]
34
[ "11*91=1001", "53+1001=1054", "1054/31=34" ]
Current State: 34:[11, 91, 31, 53], Operations: [] Exploring Operation: 11*91=1001, Resulting Numbers: [31, 53, 1001] Generated Node #2: [31, 53, 1001] from Operation: 11*91=1001 Current State: 34:[31, 53, 1001], Operations: ['11*91=1001'] Exploring Operation: 53+1001=1054, Resulting Numbers: [31, 1054] Generated Node #3: [31, 1054] from Operation: 53+1001=1054 Current State: 34:[31, 1054], Operations: ['11*91=1001', '53+1001=1054'] Exploring Operation: 1054/31=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 46, 4, 13, 1 ]
85
[ "4-1=3", "13*3=39", "46+39=85" ]
Current State: 85:[46, 4, 13, 1], Operations: [] Exploring Operation: 4-1=3, Resulting Numbers: [46, 13, 3] Generated Node #2: [46, 13, 3] from Operation: 4-1=3 Current State: 85:[46, 13, 3], Operations: ['4-1=3'] Exploring Operation: 13*3=39, Resulting Numbers: [46, 39] Generated Node #3: [46, 39] from Operation: 13*3=39 Current State: 85:[46, 39], Operations: ['4-1=3', '13*3=39'] Exploring Operation: 46+39=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 66, 98, 96, 96 ]
60
[ "96-66=30", "98-96=2", "30*2=60" ]
Current State: 60:[66, 98, 96, 96], Operations: [] Exploring Operation: 96-66=30, Resulting Numbers: [98, 30] Generated Node #2: [98, 30] from Operation: 96-66=30 Current State: 60:[98, 30], Operations: ['96-66=30'] Exploring Operation: 98-96=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 98-96=2 Current State: 60:[30, 2], Operations: ['96-66=30', '98-96=2'] Exploring Operation: 30*2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 6, 75, 36, 71 ]
15
[ "75-71=4", "36/4=9", "6+9=15" ]
Current State: 15:[6, 75, 36, 71], Operations: [] Exploring Operation: 75-71=4, Resulting Numbers: [6, 36, 4] Generated Node #2: [6, 36, 4] from Operation: 75-71=4 Current State: 15:[6, 36, 4], Operations: ['75-71=4'] Exploring Operation: 36/4=9, Resulting Numbers: [6, 9] Generated Node #3: [6, 9] from Operation: 36/4=9 Current State: 15:[6, 9], Operations: ['75-71=4', '36/4=9'] Exploring Operation: 6+9=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 4, 45, 99, 36 ]
44
[ "4*99=396", "45-36=9", "396/9=44" ]
Current State: 44:[4, 45, 99, 36], Operations: [] Exploring Operation: 4*99=396, Resulting Numbers: [45, 36, 396] Generated Node #2: [45, 36, 396] from Operation: 4*99=396 Current State: 44:[45, 36, 396], Operations: ['4*99=396'] Exploring Operation: 45-36=9, Resulting Numbers: [396, 9] Generated Node #3: [396, 9] from Operation: 45-36=9 Current State: 44:[396, 9], Operations: ['4*99=396', '45-36=9'] Exploring Operation: 396/9=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 64, 23, 36, 19 ]
95
[ "64-23=41", "41-36=5", "19*5=95" ]
Current State: 95:[64, 23, 36, 19], Operations: [] Exploring Operation: 64-23=41, Resulting Numbers: [36, 19, 41] Generated Node #2: [36, 19, 41] from Operation: 64-23=41 Current State: 95:[36, 19, 41], Operations: ['64-23=41'] Exploring Operation: 41-36=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 41-36=5 Current State: 95:[19, 5], Operations: ['64-23=41', '41-36=5'] Exploring Operation: 19*5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 72, 25, 4, 70 ]
27
[ "72-25=47", "4+70=74", "74-47=27" ]
Current State: 27:[72, 25, 4, 70], Operations: [] Exploring Operation: 72-25=47, Resulting Numbers: [4, 70, 47] Generated Node #2: [4, 70, 47] from Operation: 72-25=47 Current State: 27:[4, 70, 47], Operations: ['72-25=47'] Exploring Operation: 4+70=74, Resulting Numbers: [47, 74] Generated Node #3: [47, 74] from Operation: 4+70=74 Current State: 27:[47, 74], Operations: ['72-25=47', '4+70=74'] Exploring Operation: 74-47=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 97, 25, 63, 44 ]
35
[ "97-25=72", "63+44=107", "107-72=35" ]
Current State: 35:[97, 25, 63, 44], Operations: [] Exploring Operation: 97-25=72, Resulting Numbers: [63, 44, 72] Generated Node #2: [63, 44, 72] from Operation: 97-25=72 Current State: 35:[63, 44, 72], Operations: ['97-25=72'] Exploring Operation: 63+44=107, Resulting Numbers: [72, 107] Generated Node #3: [72, 107] from Operation: 63+44=107 Current State: 35:[72, 107], Operations: ['97-25=72', '63+44=107'] Exploring Operation: 107-72=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 98, 96, 16, 33 ]
65
[ "98-96=2", "16*2=32", "33+32=65" ]
Current State: 65:[98, 96, 16, 33], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [16, 33, 2] Generated Node #2: [16, 33, 2] from Operation: 98-96=2 Current State: 65:[16, 33, 2], Operations: ['98-96=2'] Exploring Operation: 16*2=32, Resulting Numbers: [33, 32] Generated Node #3: [33, 32] from Operation: 16*2=32 Current State: 65:[33, 32], Operations: ['98-96=2', '16*2=32'] Exploring Operation: 33+32=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 2, 46, 44, 69 ]
41
[ "46/2=23", "69/23=3", "44-3=41" ]
Current State: 41:[2, 46, 44, 69], Operations: [] Exploring Operation: 46/2=23, Resulting Numbers: [44, 69, 23] Generated Node #2: [44, 69, 23] from Operation: 46/2=23 Current State: 41:[44, 69, 23], Operations: ['46/2=23'] Exploring Operation: 69/23=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 69/23=3 Current State: 41:[44, 3], Operations: ['46/2=23', '69/23=3'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 19, 29, 16, 5 ]
36
[ "19+16=35", "35/5=7", "29+7=36" ]
Current State: 36:[19, 29, 16, 5], Operations: [] Exploring Operation: 19+16=35, Resulting Numbers: [29, 5, 35] Generated Node #2: [29, 5, 35] from Operation: 19+16=35 Current State: 36:[29, 5, 35], Operations: ['19+16=35'] Exploring Operation: 35/5=7, Resulting Numbers: [29, 7] Generated Node #3: [29, 7] from Operation: 35/5=7 Current State: 36:[29, 7], Operations: ['19+16=35', '35/5=7'] Exploring Operation: 29+7=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 22, 66, 44, 39 ]
75
[ "44*39=1716", "1716-66=1650", "1650/22=75" ]
Current State: 75:[22, 66, 44, 39], Operations: [] Exploring Operation: 44*39=1716, Resulting Numbers: [22, 66, 1716] Generated Node #2: [22, 66, 1716] from Operation: 44*39=1716 Current State: 75:[22, 66, 1716], Operations: ['44*39=1716'] Exploring Operation: 1716-66=1650, Resulting Numbers: [22, 1650] Generated Node #3: [22, 1650] from Operation: 1716-66=1650 Current State: 75:[22, 1650], Operations: ['44*39=1716', '1716-66=1650'] Exploring Operation: 1650/22=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 24, 95, 96, 96 ]
24
[ "96-96=0", "95*0=0", "24+0=24" ]
Current State: 24:[24, 95, 96, 96], Operations: [] Exploring Operation: 96-96=0, Resulting Numbers: [24, 95, 0] Generated Node #2: [24, 95, 0] from Operation: 96-96=0 Current State: 24:[24, 95, 0], Operations: ['96-96=0'] Exploring Operation: 95*0=0, Resulting Numbers: [24, 0] Generated Node #3: [24, 0] from Operation: 95*0=0 Current State: 24:[24, 0], Operations: ['96-96=0', '95*0=0'] Exploring Operation: 24+0=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 30, 90, 24, 7 ]
12
[ "30+90=120", "120/24=5", "7+5=12" ]
Current State: 12:[30, 90, 24, 7], Operations: [] Exploring Operation: 30+90=120, Resulting Numbers: [24, 7, 120] Generated Node #2: [24, 7, 120] from Operation: 30+90=120 Current State: 12:[24, 7, 120], Operations: ['30+90=120'] Exploring Operation: 120/24=5, Resulting Numbers: [7, 5] Generated Node #3: [7, 5] from Operation: 120/24=5 Current State: 12:[7, 5], Operations: ['30+90=120', '120/24=5'] Exploring Operation: 7+5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 5, 73, 75, 74 ]
80
[ "5+75=80", "74-73=1", "80*1=80" ]
Current State: 80:[5, 73, 75, 74], Operations: [] Exploring Operation: 5+75=80, Resulting Numbers: [73, 74, 80] Generated Node #2: [73, 74, 80] from Operation: 5+75=80 Current State: 80:[73, 74, 80], Operations: ['5+75=80'] Exploring Operation: 74-73=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 74-73=1 Current State: 80:[80, 1], Operations: ['5+75=80', '74-73=1'] Exploring Operation: 80*1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 97, 79, 61, 67 ]
48
[ "97+79=176", "61+67=128", "176-128=48" ]
Current State: 48:[97, 79, 61, 67], Operations: [] Exploring Operation: 97+79=176, Resulting Numbers: [61, 67, 176] Generated Node #2: [61, 67, 176] from Operation: 97+79=176 Current State: 48:[61, 67, 176], Operations: ['97+79=176'] Exploring Operation: 61+67=128, Resulting Numbers: [176, 128] Generated Node #3: [176, 128] from Operation: 61+67=128 Current State: 48:[176, 128], Operations: ['97+79=176', '61+67=128'] Exploring Operation: 176-128=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 22, 85, 90, 58 ]
75
[ "22+85=107", "90-58=32", "107-32=75" ]
Current State: 75:[22, 85, 90, 58], Operations: [] Exploring Operation: 22+85=107, Resulting Numbers: [90, 58, 107] Generated Node #2: [90, 58, 107] from Operation: 22+85=107 Current State: 75:[90, 58, 107], Operations: ['22+85=107'] Exploring Operation: 90-58=32, Resulting Numbers: [107, 32] Generated Node #3: [107, 32] from Operation: 90-58=32 Current State: 75:[107, 32], Operations: ['22+85=107', '90-58=32'] Exploring Operation: 107-32=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 4, 8, 25, 57 ]
20
[ "4+8=12", "57-25=32", "32-12=20" ]
Current State: 20:[4, 8, 25, 57], Operations: [] Exploring Operation: 4+8=12, Resulting Numbers: [25, 57, 12] Generated Node #2: [25, 57, 12] from Operation: 4+8=12 Current State: 20:[25, 57, 12], Operations: ['4+8=12'] Exploring Operation: 57-25=32, Resulting Numbers: [12, 32] Generated Node #3: [12, 32] from Operation: 57-25=32 Current State: 20:[12, 32], Operations: ['4+8=12', '57-25=32'] Exploring Operation: 32-12=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 17, 67, 1, 51 ]
55
[ "67+1=68", "68/17=4", "51+4=55" ]
Current State: 55:[17, 67, 1, 51], Operations: [] Exploring Operation: 67+1=68, Resulting Numbers: [17, 51, 68] Generated Node #2: [17, 51, 68] from Operation: 67+1=68 Current State: 55:[17, 51, 68], Operations: ['67+1=68'] Exploring Operation: 68/17=4, Resulting Numbers: [51, 4] Generated Node #3: [51, 4] from Operation: 68/17=4 Current State: 55:[51, 4], Operations: ['67+1=68', '68/17=4'] Exploring Operation: 51+4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 21, 33, 2, 44 ]
100
[ "21+33=54", "2+44=46", "54+46=100" ]
Current State: 100:[21, 33, 2, 44], Operations: [] Exploring Operation: 21+33=54, Resulting Numbers: [2, 44, 54] Generated Node #2: [2, 44, 54] from Operation: 21+33=54 Current State: 100:[2, 44, 54], Operations: ['21+33=54'] Exploring Operation: 2+44=46, Resulting Numbers: [54, 46] Generated Node #3: [54, 46] from Operation: 2+44=46 Current State: 100:[54, 46], Operations: ['21+33=54', '2+44=46'] Exploring Operation: 54+46=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 21, 77, 69, 58 ]
87
[ "21+77=98", "69-58=11", "98-11=87" ]
Current State: 87:[21, 77, 69, 58], Operations: [] Exploring Operation: 21+77=98, Resulting Numbers: [69, 58, 98] Generated Node #2: [69, 58, 98] from Operation: 21+77=98 Current State: 87:[69, 58, 98], Operations: ['21+77=98'] Exploring Operation: 69-58=11, Resulting Numbers: [98, 11] Generated Node #3: [98, 11] from Operation: 69-58=11 Current State: 87:[98, 11], Operations: ['21+77=98', '69-58=11'] Exploring Operation: 98-11=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 50, 68, 64, 27 ]
92
[ "50-27=23", "68-64=4", "23*4=92" ]
Current State: 92:[50, 68, 64, 27], Operations: [] Exploring Operation: 50-27=23, Resulting Numbers: [68, 64, 23] Generated Node #2: [68, 64, 23] from Operation: 50-27=23 Current State: 92:[68, 64, 23], Operations: ['50-27=23'] Exploring Operation: 68-64=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 68-64=4 Current State: 92:[23, 4], Operations: ['50-27=23', '68-64=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 41, 26, 37, 46 ]
98
[ "41-26=15", "37+46=83", "15+83=98" ]
Current State: 98:[41, 26, 37, 46], Operations: [] Exploring Operation: 41-26=15, Resulting Numbers: [37, 46, 15] Generated Node #2: [37, 46, 15] from Operation: 41-26=15 Current State: 98:[37, 46, 15], Operations: ['41-26=15'] Exploring Operation: 37+46=83, Resulting Numbers: [15, 83] Generated Node #3: [15, 83] from Operation: 37+46=83 Current State: 98:[15, 83], Operations: ['41-26=15', '37+46=83'] Exploring Operation: 15+83=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 62, 44, 79, 97 ]
66
[ "79+97=176", "176/44=4", "62+4=66" ]
Current State: 66:[62, 44, 79, 97], Operations: [] Exploring Operation: 79+97=176, Resulting Numbers: [62, 44, 176] Generated Node #2: [62, 44, 176] from Operation: 79+97=176 Current State: 66:[62, 44, 176], Operations: ['79+97=176'] Exploring Operation: 176/44=4, Resulting Numbers: [62, 4] Generated Node #3: [62, 4] from Operation: 176/44=4 Current State: 66:[62, 4], Operations: ['79+97=176', '176/44=4'] Exploring Operation: 62+4=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 5, 1, 3, 37 ]
62
[ "5*37=185", "1+185=186", "186/3=62" ]
Current State: 62:[5, 1, 3, 37], Operations: [] Exploring Operation: 5*37=185, Resulting Numbers: [1, 3, 185] Generated Node #2: [1, 3, 185] from Operation: 5*37=185 Current State: 62:[1, 3, 185], Operations: ['5*37=185'] Exploring Operation: 1+185=186, Resulting Numbers: [3, 186] Generated Node #3: [3, 186] from Operation: 1+185=186 Current State: 62:[3, 186], Operations: ['5*37=185', '1+185=186'] Exploring Operation: 186/3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 6, 72, 52, 88 ]
39
[ "72-6=66", "52*66=3432", "3432/88=39" ]
Current State: 39:[6, 72, 52, 88], Operations: [] Exploring Operation: 72-6=66, Resulting Numbers: [52, 88, 66] Generated Node #2: [52, 88, 66] from Operation: 72-6=66 Current State: 39:[52, 88, 66], Operations: ['72-6=66'] Exploring Operation: 52*66=3432, Resulting Numbers: [88, 3432] Generated Node #3: [88, 3432] from Operation: 52*66=3432 Current State: 39:[88, 3432], Operations: ['72-6=66', '52*66=3432'] Exploring Operation: 3432/88=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 72, 44, 37, 62 ]
91
[ "72+44=116", "62-37=25", "116-25=91" ]
Current State: 91:[72, 44, 37, 62], Operations: [] Exploring Operation: 72+44=116, Resulting Numbers: [37, 62, 116] Generated Node #2: [37, 62, 116] from Operation: 72+44=116 Current State: 91:[37, 62, 116], Operations: ['72+44=116'] Exploring Operation: 62-37=25, Resulting Numbers: [116, 25] Generated Node #3: [116, 25] from Operation: 62-37=25 Current State: 91:[116, 25], Operations: ['72+44=116', '62-37=25'] Exploring Operation: 116-25=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 37, 59, 14, 63 ]
92
[ "37-14=23", "63-59=4", "23*4=92" ]
Current State: 92:[37, 59, 14, 63], Operations: [] Exploring Operation: 37-14=23, Resulting Numbers: [59, 63, 23] Generated Node #2: [59, 63, 23] from Operation: 37-14=23 Current State: 92:[59, 63, 23], Operations: ['37-14=23'] Exploring Operation: 63-59=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 63-59=4 Current State: 92:[23, 4], Operations: ['37-14=23', '63-59=4'] Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 27, 84, 69, 3 ]
69
[ "84/3=28", "28-27=1", "69*1=69" ]
Current State: 69:[27, 84, 69, 3], Operations: [] Exploring Operation: 84/3=28, Resulting Numbers: [27, 69, 28] Generated Node #2: [27, 69, 28] from Operation: 84/3=28 Current State: 69:[27, 69, 28], Operations: ['84/3=28'] Exploring Operation: 28-27=1, Resulting Numbers: [69, 1] Generated Node #3: [69, 1] from Operation: 28-27=1 Current State: 69:[69, 1], Operations: ['84/3=28', '28-27=1'] Exploring Operation: 69*1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 95, 60, 98, 21 ]
53
[ "98-95=3", "21/3=7", "60-7=53" ]
Current State: 53:[95, 60, 98, 21], Operations: [] Exploring Operation: 98-95=3, Resulting Numbers: [60, 21, 3] Generated Node #2: [60, 21, 3] from Operation: 98-95=3 Current State: 53:[60, 21, 3], Operations: ['98-95=3'] Exploring Operation: 21/3=7, Resulting Numbers: [60, 7] Generated Node #3: [60, 7] from Operation: 21/3=7 Current State: 53:[60, 7], Operations: ['98-95=3', '21/3=7'] Exploring Operation: 60-7=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 60, 27, 56, 39 ]
72
[ "60-39=21", "27*56=1512", "1512/21=72" ]
Current State: 72:[60, 27, 56, 39], Operations: [] Exploring Operation: 60-39=21, Resulting Numbers: [27, 56, 21] Generated Node #2: [27, 56, 21] from Operation: 60-39=21 Current State: 72:[27, 56, 21], Operations: ['60-39=21'] Exploring Operation: 27*56=1512, Resulting Numbers: [21, 1512] Generated Node #3: [21, 1512] from Operation: 27*56=1512 Current State: 72:[21, 1512], Operations: ['60-39=21', '27*56=1512'] Exploring Operation: 1512/21=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 17, 17, 32, 10 ]
43
[ "17/17=1", "32+10=42", "1+42=43" ]
Current State: 43:[17, 17, 32, 10], Operations: [] Exploring Operation: 17/17=1, Resulting Numbers: [32, 10, 1] Generated Node #2: [32, 10, 1] from Operation: 17/17=1 Current State: 43:[32, 10, 1], Operations: ['17/17=1'] Exploring Operation: 32+10=42, Resulting Numbers: [1, 42] Generated Node #3: [1, 42] from Operation: 32+10=42 Current State: 43:[1, 42], Operations: ['17/17=1', '32+10=42'] Exploring Operation: 1+42=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 12, 14, 92, 10 ]
65
[ "92-14=78", "10*78=780", "780/12=65" ]
Current State: 65:[12, 14, 92, 10], Operations: [] Exploring Operation: 92-14=78, Resulting Numbers: [12, 10, 78] Generated Node #2: [12, 10, 78] from Operation: 92-14=78 Current State: 65:[12, 10, 78], Operations: ['92-14=78'] Exploring Operation: 10*78=780, Resulting Numbers: [12, 780] Generated Node #3: [12, 780] from Operation: 10*78=780 Current State: 65:[12, 780], Operations: ['92-14=78', '10*78=780'] Exploring Operation: 780/12=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4