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
[ 49, 99, 2, 95 ]
76
[ "95-49=46", "46/2=23", "99-23=76" ]
Current State: 76:[49, 99, 2, 95], Operations: [] Exploring Operation: 95-49=46, Resulting Numbers: [99, 2, 46] Generated Node #2: [99, 2, 46] from Operation: 95-49=46 Current State: 76:[99, 2, 46], Operations: ['95-49=46'] Exploring Operation: 46/2=23, Resulting Numbers: [99, 23] Generated Node #3: [99, 23] from Operation: 46/2=23 Current State: 76:[99, 23], Operations: ['95-49=46', '46/2=23'] Exploring Operation: 99-23=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 83, 89, 2, 37 ]
20
[ "89+37=126", "126/2=63", "83-63=20" ]
Current State: 20:[83, 89, 2, 37], Operations: [] Exploring Operation: 89+37=126, Resulting Numbers: [83, 2, 126] Generated Node #2: [83, 2, 126] from Operation: 89+37=126 Current State: 20:[83, 2, 126], Operations: ['89+37=126'] Exploring Operation: 126/2=63, Resulting Numbers: [83, 63] Generated Node #3: [83, 63] from Operation: 126/2=63 Current State: 20:[83, 63], Operations: ['89+37=126', '126/2=63'] Exploring Operation: 83-63=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 83, 2, 79, 67 ]
73
[ "83+2=85", "79-67=12", "85-12=73" ]
Current State: 73:[83, 2, 79, 67], Operations: [] Exploring Operation: 83+2=85, Resulting Numbers: [79, 67, 85] Generated Node #2: [79, 67, 85] from Operation: 83+2=85 Current State: 73:[79, 67, 85], Operations: ['83+2=85'] Exploring Operation: 79-67=12, Resulting Numbers: [85, 12] Generated Node #3: [85, 12] from Operation: 79-67=12 Current State: 73:[85, 12], Operations: ['83+2=85', '79-67=12'] Exploring Operation: 85-12=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 26, 28, 95, 86 ]
99
[ "26+86=112", "112/28=4", "95+4=99" ]
Current State: 99:[26, 28, 95, 86], Operations: [] Exploring Operation: 26+86=112, Resulting Numbers: [28, 95, 112] Generated Node #2: [28, 95, 112] from Operation: 26+86=112 Current State: 99:[28, 95, 112], Operations: ['26+86=112'] Exploring Operation: 112/28=4, Resulting Numbers: [95, 4] Generated Node #3: [95, 4] from Operation: 112/28=4 Current State: 99:[95, 4], Operations: ['26+86=112', '112/28=4'] Exploring Operation: 95+4=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 72, 78, 54, 59 ]
48
[ "72-59=13", "78/13=6", "54-6=48" ]
Current State: 48:[72, 78, 54, 59], Operations: [] Exploring Operation: 72-59=13, Resulting Numbers: [78, 54, 13] Generated Node #2: [78, 54, 13] from Operation: 72-59=13 Current State: 48:[78, 54, 13], Operations: ['72-59=13'] Exploring Operation: 78/13=6, Resulting Numbers: [54, 6] Generated Node #3: [54, 6] from Operation: 78/13=6 Current State: 48:[54, 6], Operations: ['72-59=13', '78/13=6'] Exploring Operation: 54-6=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 11, 21, 28, 79 ]
19
[ "11+21=32", "79-28=51", "51-32=19" ]
Current State: 19:[11, 21, 28, 79], Operations: [] Exploring Operation: 11+21=32, Resulting Numbers: [28, 79, 32] Generated Node #2: [28, 79, 32] from Operation: 11+21=32 Current State: 19:[28, 79, 32], Operations: ['11+21=32'] Exploring Operation: 79-28=51, Resulting Numbers: [32, 51] Generated Node #3: [32, 51] from Operation: 79-28=51 Current State: 19:[32, 51], Operations: ['11+21=32', '79-28=51'] Exploring Operation: 51-32=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 2, 34, 23, 44 ]
38
[ "34/2=17", "44-23=21", "17+21=38" ]
Current State: 38:[2, 34, 23, 44], Operations: [] Exploring Operation: 34/2=17, Resulting Numbers: [23, 44, 17] Generated Node #2: [23, 44, 17] from Operation: 34/2=17 Current State: 38:[23, 44, 17], Operations: ['34/2=17'] Exploring Operation: 44-23=21, Resulting Numbers: [17, 21] Generated Node #3: [17, 21] from Operation: 44-23=21 Current State: 38:[17, 21], Operations: ['34/2=17', '44-23=21'] Exploring Operation: 17+21=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 65, 69, 2, 61 ]
53
[ "69-65=4", "2*4=8", "61-8=53" ]
Current State: 53:[65, 69, 2, 61], Operations: [] Exploring Operation: 69-65=4, Resulting Numbers: [2, 61, 4] Generated Node #2: [2, 61, 4] from Operation: 69-65=4 Current State: 53:[2, 61, 4], Operations: ['69-65=4'] Exploring Operation: 2*4=8, Resulting Numbers: [61, 8] Generated Node #3: [61, 8] from Operation: 2*4=8 Current State: 53:[61, 8], Operations: ['69-65=4', '2*4=8'] Exploring Operation: 61-8=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 54, 49, 54, 16 ]
65
[ "54+49=103", "54-16=38", "103-38=65" ]
Current State: 65:[54, 49, 54, 16], Operations: [] Exploring Operation: 54+49=103, Resulting Numbers: [16, 103] Generated Node #2: [16, 103] from Operation: 54+49=103 Current State: 65:[16, 103], Operations: ['54+49=103'] Exploring Operation: 54-16=38, Resulting Numbers: [103, 38] Generated Node #3: [103, 38] from Operation: 54-16=38 Current State: 65:[103, 38], Operations: ['54+49=103', '54-16=38'] Exploring Operation: 103-38=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 8, 32, 5, 96 ]
64
[ "8-5=3", "96/3=32", "32+32=64" ]
Current State: 64:[8, 32, 5, 96], Operations: [] Exploring Operation: 8-5=3, Resulting Numbers: [32, 96, 3] Generated Node #2: [32, 96, 3] from Operation: 8-5=3 Current State: 64:[32, 96, 3], Operations: ['8-5=3'] Exploring Operation: 96/3=32, Resulting Numbers: [32, 32] Generated Node #3: [32, 32] from Operation: 96/3=32 Current State: 64:[32, 32], Operations: ['8-5=3', '96/3=32'] Exploring Operation: 32+32=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 4, 69, 12, 29 ]
37
[ "12/4=3", "69-29=40", "40-3=37" ]
Current State: 37:[4, 69, 12, 29], Operations: [] Exploring Operation: 12/4=3, Resulting Numbers: [69, 29, 3] Generated Node #2: [69, 29, 3] from Operation: 12/4=3 Current State: 37:[69, 29, 3], Operations: ['12/4=3'] Exploring Operation: 69-29=40, Resulting Numbers: [3, 40] Generated Node #3: [3, 40] from Operation: 69-29=40 Current State: 37:[3, 40], Operations: ['12/4=3', '69-29=40'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 88, 9, 66, 92 ]
61
[ "88+9=97", "66+92=158", "158-97=61" ]
Current State: 61:[88, 9, 66, 92], Operations: [] Exploring Operation: 88+9=97, Resulting Numbers: [66, 92, 97] Generated Node #2: [66, 92, 97] from Operation: 88+9=97 Current State: 61:[66, 92, 97], Operations: ['88+9=97'] Exploring Operation: 66+92=158, Resulting Numbers: [97, 158] Generated Node #3: [97, 158] from Operation: 66+92=158 Current State: 61:[97, 158], Operations: ['88+9=97', '66+92=158'] Exploring Operation: 158-97=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 4, 32, 15, 47 ]
21
[ "32-15=17", "4*17=68", "68-47=21" ]
Current State: 21:[4, 32, 15, 47], Operations: [] Exploring Operation: 32-15=17, Resulting Numbers: [4, 47, 17] Generated Node #2: [4, 47, 17] from Operation: 32-15=17 Current State: 21:[4, 47, 17], Operations: ['32-15=17'] Exploring Operation: 4*17=68, Resulting Numbers: [47, 68] Generated Node #3: [47, 68] from Operation: 4*17=68 Current State: 21:[47, 68], Operations: ['32-15=17', '4*17=68'] Exploring Operation: 68-47=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 57, 68, 55, 27 ]
43
[ "57+68=125", "55+27=82", "125-82=43" ]
Current State: 43:[57, 68, 55, 27], Operations: [] Exploring Operation: 57+68=125, Resulting Numbers: [55, 27, 125] Generated Node #2: [55, 27, 125] from Operation: 57+68=125 Current State: 43:[55, 27, 125], Operations: ['57+68=125'] Exploring Operation: 55+27=82, Resulting Numbers: [125, 82] Generated Node #3: [125, 82] from Operation: 55+27=82 Current State: 43:[125, 82], Operations: ['57+68=125', '55+27=82'] Exploring Operation: 125-82=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 44, 51, 36, 84 ]
41
[ "51-44=7", "84-36=48", "48-7=41" ]
Current State: 41:[44, 51, 36, 84], Operations: [] Exploring Operation: 51-44=7, Resulting Numbers: [36, 84, 7] Generated Node #2: [36, 84, 7] from Operation: 51-44=7 Current State: 41:[36, 84, 7], Operations: ['51-44=7'] Exploring Operation: 84-36=48, Resulting Numbers: [7, 48] Generated Node #3: [7, 48] from Operation: 84-36=48 Current State: 41:[7, 48], Operations: ['51-44=7', '84-36=48'] Exploring Operation: 48-7=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 92, 12, 86, 90 ]
89
[ "90-86=4", "12/4=3", "92-3=89" ]
Current State: 89:[92, 12, 86, 90], Operations: [] Exploring Operation: 90-86=4, Resulting Numbers: [92, 12, 4] Generated Node #2: [92, 12, 4] from Operation: 90-86=4 Current State: 89:[92, 12, 4], Operations: ['90-86=4'] Exploring Operation: 12/4=3, Resulting Numbers: [92, 3] Generated Node #3: [92, 3] from Operation: 12/4=3 Current State: 89:[92, 3], Operations: ['90-86=4', '12/4=3'] Exploring Operation: 92-3=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 38, 56, 59, 70 ]
83
[ "38+56=94", "70-59=11", "94-11=83" ]
Current State: 83:[38, 56, 59, 70], Operations: [] Exploring Operation: 38+56=94, Resulting Numbers: [59, 70, 94] Generated Node #2: [59, 70, 94] from Operation: 38+56=94 Current State: 83:[59, 70, 94], Operations: ['38+56=94'] Exploring Operation: 70-59=11, Resulting Numbers: [94, 11] Generated Node #3: [94, 11] from Operation: 70-59=11 Current State: 83:[94, 11], Operations: ['38+56=94', '70-59=11'] Exploring Operation: 94-11=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 38, 79, 6, 52 ]
87
[ "79-38=41", "52-6=46", "41+46=87" ]
Current State: 87:[38, 79, 6, 52], Operations: [] Exploring Operation: 79-38=41, Resulting Numbers: [6, 52, 41] Generated Node #2: [6, 52, 41] from Operation: 79-38=41 Current State: 87:[6, 52, 41], Operations: ['79-38=41'] Exploring Operation: 52-6=46, Resulting Numbers: [41, 46] Generated Node #3: [41, 46] from Operation: 52-6=46 Current State: 87:[41, 46], Operations: ['79-38=41', '52-6=46'] Exploring Operation: 41+46=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 80, 37, 27, 71 ]
76
[ "37+71=108", "108/27=4", "80-4=76" ]
Current State: 76:[80, 37, 27, 71], Operations: [] Exploring Operation: 37+71=108, Resulting Numbers: [80, 27, 108] Generated Node #2: [80, 27, 108] from Operation: 37+71=108 Current State: 76:[80, 27, 108], Operations: ['37+71=108'] Exploring Operation: 108/27=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 108/27=4 Current State: 76:[80, 4], Operations: ['37+71=108', '108/27=4'] Exploring Operation: 80-4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 57, 3, 97, 6 ]
78
[ "6-3=3", "57/3=19", "97-19=78" ]
Current State: 78:[57, 3, 97, 6], Operations: [] Exploring Operation: 6-3=3, Resulting Numbers: [57, 97, 3] Generated Node #2: [57, 97, 3] from Operation: 6-3=3 Current State: 78:[57, 97, 3], Operations: ['6-3=3'] Exploring Operation: 57/3=19, Resulting Numbers: [97, 19] Generated Node #3: [97, 19] from Operation: 57/3=19 Current State: 78:[97, 19], Operations: ['6-3=3', '57/3=19'] Exploring Operation: 97-19=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 66, 23, 32, 30 ]
26
[ "66+30=96", "96/32=3", "23+3=26" ]
Current State: 26:[66, 23, 32, 30], Operations: [] Exploring Operation: 66+30=96, Resulting Numbers: [23, 32, 96] Generated Node #2: [23, 32, 96] from Operation: 66+30=96 Current State: 26:[23, 32, 96], Operations: ['66+30=96'] Exploring Operation: 96/32=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 96/32=3 Current State: 26:[23, 3], Operations: ['66+30=96', '96/32=3'] Exploring Operation: 23+3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 45, 68, 97, 67 ]
94
[ "68+67=135", "135/45=3", "97-3=94" ]
Current State: 94:[45, 68, 97, 67], Operations: [] Exploring Operation: 68+67=135, Resulting Numbers: [45, 97, 135] Generated Node #2: [45, 97, 135] from Operation: 68+67=135 Current State: 94:[45, 97, 135], Operations: ['68+67=135'] Exploring Operation: 135/45=3, Resulting Numbers: [97, 3] Generated Node #3: [97, 3] from Operation: 135/45=3 Current State: 94:[97, 3], Operations: ['68+67=135', '135/45=3'] Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 19, 25, 36, 55 ]
49
[ "25-19=6", "36/6=6", "55-6=49" ]
Current State: 49:[19, 25, 36, 55], Operations: [] Exploring Operation: 25-19=6, Resulting Numbers: [36, 55, 6] Generated Node #2: [36, 55, 6] from Operation: 25-19=6 Current State: 49:[36, 55, 6], Operations: ['25-19=6'] Exploring Operation: 36/6=6, Resulting Numbers: [55, 6] Generated Node #3: [55, 6] from Operation: 36/6=6 Current State: 49:[55, 6], Operations: ['25-19=6', '36/6=6'] Exploring Operation: 55-6=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 7, 28, 13, 3 ]
38
[ "28-13=15", "3*15=45", "45-7=38" ]
Current State: 38:[7, 28, 13, 3], Operations: [] Exploring Operation: 28-13=15, Resulting Numbers: [7, 3, 15] Generated Node #2: [7, 3, 15] from Operation: 28-13=15 Current State: 38:[7, 3, 15], Operations: ['28-13=15'] Exploring Operation: 3*15=45, Resulting Numbers: [7, 45] Generated Node #3: [7, 45] from Operation: 3*15=45 Current State: 38:[7, 45], Operations: ['28-13=15', '3*15=45'] Exploring Operation: 45-7=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 48, 55, 2, 5 ]
96
[ "48+55=103", "2+5=7", "103-7=96" ]
Current State: 96:[48, 55, 2, 5], Operations: [] Exploring Operation: 48+55=103, Resulting Numbers: [2, 5, 103] Generated Node #2: [2, 5, 103] from Operation: 48+55=103 Current State: 96:[2, 5, 103], Operations: ['48+55=103'] Exploring Operation: 2+5=7, Resulting Numbers: [103, 7] Generated Node #3: [103, 7] from Operation: 2+5=7 Current State: 96:[103, 7], Operations: ['48+55=103', '2+5=7'] Exploring Operation: 103-7=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 38, 64, 19, 27 ]
72
[ "64-38=26", "19+27=46", "26+46=72" ]
Current State: 72:[38, 64, 19, 27], Operations: [] Exploring Operation: 64-38=26, Resulting Numbers: [19, 27, 26] Generated Node #2: [19, 27, 26] from Operation: 64-38=26 Current State: 72:[19, 27, 26], Operations: ['64-38=26'] Exploring Operation: 19+27=46, Resulting Numbers: [26, 46] Generated Node #3: [26, 46] from Operation: 19+27=46 Current State: 72:[26, 46], Operations: ['64-38=26', '19+27=46'] Exploring Operation: 26+46=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 50, 1, 42, 71 ]
63
[ "50*1=50", "42+71=113", "113-50=63" ]
Current State: 63:[50, 1, 42, 71], Operations: [] Exploring Operation: 50*1=50, Resulting Numbers: [42, 71, 50] Generated Node #2: [42, 71, 50] from Operation: 50*1=50 Current State: 63:[42, 71, 50], Operations: ['50*1=50'] Exploring Operation: 42+71=113, Resulting Numbers: [50, 113] Generated Node #3: [50, 113] from Operation: 42+71=113 Current State: 63:[50, 113], Operations: ['50*1=50', '42+71=113'] Exploring Operation: 113-50=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 1, 86, 88, 27 ]
25
[ "1*86=86", "88-27=61", "86-61=25" ]
Current State: 25:[1, 86, 88, 27], Operations: [] Exploring Operation: 1*86=86, Resulting Numbers: [88, 27, 86] Generated Node #2: [88, 27, 86] from Operation: 1*86=86 Current State: 25:[88, 27, 86], Operations: ['1*86=86'] Exploring Operation: 88-27=61, Resulting Numbers: [86, 61] Generated Node #3: [86, 61] from Operation: 88-27=61 Current State: 25:[86, 61], Operations: ['1*86=86', '88-27=61'] Exploring Operation: 86-61=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 66, 4, 94, 25 ]
32
[ "94-66=28", "28/4=7", "25+7=32" ]
Current State: 32:[66, 4, 94, 25], Operations: [] Exploring Operation: 94-66=28, Resulting Numbers: [4, 25, 28] Generated Node #2: [4, 25, 28] from Operation: 94-66=28 Current State: 32:[4, 25, 28], Operations: ['94-66=28'] Exploring Operation: 28/4=7, Resulting Numbers: [25, 7] Generated Node #3: [25, 7] from Operation: 28/4=7 Current State: 32:[25, 7], Operations: ['94-66=28', '28/4=7'] Exploring Operation: 25+7=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 68, 33, 40, 98 ]
93
[ "68-33=35", "98-40=58", "35+58=93" ]
Current State: 93:[68, 33, 40, 98], Operations: [] Exploring Operation: 68-33=35, Resulting Numbers: [40, 98, 35] Generated Node #2: [40, 98, 35] from Operation: 68-33=35 Current State: 93:[40, 98, 35], Operations: ['68-33=35'] Exploring Operation: 98-40=58, Resulting Numbers: [35, 58] Generated Node #3: [35, 58] from Operation: 98-40=58 Current State: 93:[35, 58], Operations: ['68-33=35', '98-40=58'] Exploring Operation: 35+58=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 56, 25, 7, 96 ]
72
[ "56-25=31", "7+96=103", "103-31=72" ]
Current State: 72:[56, 25, 7, 96], Operations: [] Exploring Operation: 56-25=31, Resulting Numbers: [7, 96, 31] Generated Node #2: [7, 96, 31] from Operation: 56-25=31 Current State: 72:[7, 96, 31], Operations: ['56-25=31'] Exploring Operation: 7+96=103, Resulting Numbers: [31, 103] Generated Node #3: [31, 103] from Operation: 7+96=103 Current State: 72:[31, 103], Operations: ['56-25=31', '7+96=103'] Exploring Operation: 103-31=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 28, 39, 8, 4 ]
46
[ "8-4=4", "28/4=7", "39+7=46" ]
Current State: 46:[28, 39, 8, 4], Operations: [] Exploring Operation: 8-4=4, Resulting Numbers: [28, 39, 4] Generated Node #2: [28, 39, 4] from Operation: 8-4=4 Current State: 46:[28, 39, 4], Operations: ['8-4=4'] Exploring Operation: 28/4=7, Resulting Numbers: [39, 7] Generated Node #3: [39, 7] from Operation: 28/4=7 Current State: 46:[39, 7], Operations: ['8-4=4', '28/4=7'] Exploring Operation: 39+7=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 10, 34, 51, 39 ]
43
[ "51+39=90", "90/10=9", "34+9=43" ]
Current State: 43:[10, 34, 51, 39], Operations: [] Exploring Operation: 51+39=90, Resulting Numbers: [10, 34, 90] Generated Node #2: [10, 34, 90] from Operation: 51+39=90 Current State: 43:[10, 34, 90], Operations: ['51+39=90'] Exploring Operation: 90/10=9, Resulting Numbers: [34, 9] Generated Node #3: [34, 9] from Operation: 90/10=9 Current State: 43:[34, 9], Operations: ['51+39=90', '90/10=9'] Exploring Operation: 34+9=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 63, 15, 2, 34 ]
59
[ "63-34=29", "15*2=30", "29+30=59" ]
Current State: 59:[63, 15, 2, 34], Operations: [] Exploring Operation: 63-34=29, Resulting Numbers: [15, 2, 29] Generated Node #2: [15, 2, 29] from Operation: 63-34=29 Current State: 59:[15, 2, 29], Operations: ['63-34=29'] Exploring Operation: 15*2=30, Resulting Numbers: [29, 30] Generated Node #3: [29, 30] from Operation: 15*2=30 Current State: 59:[29, 30], Operations: ['63-34=29', '15*2=30'] Exploring Operation: 29+30=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 70, 12, 98, 60 ]
49
[ "70-12=58", "60-58=2", "98/2=49" ]
Current State: 49:[70, 12, 98, 60], Operations: [] Exploring Operation: 70-12=58, Resulting Numbers: [98, 60, 58] Generated Node #2: [98, 60, 58] from Operation: 70-12=58 Current State: 49:[98, 60, 58], Operations: ['70-12=58'] Exploring Operation: 60-58=2, Resulting Numbers: [98, 2] Generated Node #3: [98, 2] from Operation: 60-58=2 Current State: 49:[98, 2], Operations: ['70-12=58', '60-58=2'] Exploring Operation: 98/2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 44, 40, 43, 53 ]
74
[ "44+40=84", "53-43=10", "84-10=74" ]
Current State: 74:[44, 40, 43, 53], Operations: [] Exploring Operation: 44+40=84, Resulting Numbers: [43, 53, 84] Generated Node #2: [43, 53, 84] from Operation: 44+40=84 Current State: 74:[43, 53, 84], Operations: ['44+40=84'] Exploring Operation: 53-43=10, Resulting Numbers: [84, 10] Generated Node #3: [84, 10] from Operation: 53-43=10 Current State: 74:[84, 10], Operations: ['44+40=84', '53-43=10'] Exploring Operation: 84-10=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 60, 13, 11, 4 ]
36
[ "13+11=24", "4*24=96", "96-60=36" ]
Current State: 36:[60, 13, 11, 4], Operations: [] Exploring Operation: 13+11=24, Resulting Numbers: [60, 4, 24] Generated Node #2: [60, 4, 24] from Operation: 13+11=24 Current State: 36:[60, 4, 24], Operations: ['13+11=24'] Exploring Operation: 4*24=96, Resulting Numbers: [60, 96] Generated Node #3: [60, 96] from Operation: 4*24=96 Current State: 36:[60, 96], Operations: ['13+11=24', '4*24=96'] Exploring Operation: 96-60=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 98, 96, 97, 94 ]
95
[ "98+94=192", "192/96=2", "97-2=95" ]
Current State: 95:[98, 96, 97, 94], Operations: [] Exploring Operation: 98+94=192, Resulting Numbers: [96, 97, 192] Generated Node #2: [96, 97, 192] from Operation: 98+94=192 Current State: 95:[96, 97, 192], Operations: ['98+94=192'] Exploring Operation: 192/96=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 192/96=2 Current State: 95:[97, 2], Operations: ['98+94=192', '192/96=2'] Exploring Operation: 97-2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 70, 88, 90, 15 ]
100
[ "90-88=2", "15*2=30", "70+30=100" ]
Current State: 100:[70, 88, 90, 15], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [70, 15, 2] Generated Node #2: [70, 15, 2] from Operation: 90-88=2 Current State: 100:[70, 15, 2], Operations: ['90-88=2'] Exploring Operation: 15*2=30, Resulting Numbers: [70, 30] Generated Node #3: [70, 30] from Operation: 15*2=30 Current State: 100:[70, 30], Operations: ['90-88=2', '15*2=30'] Exploring Operation: 70+30=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 63, 8, 90, 43 ]
78
[ "63-8=55", "90+43=133", "133-55=78" ]
Current State: 78:[63, 8, 90, 43], Operations: [] Exploring Operation: 63-8=55, Resulting Numbers: [90, 43, 55] Generated Node #2: [90, 43, 55] from Operation: 63-8=55 Current State: 78:[90, 43, 55], Operations: ['63-8=55'] Exploring Operation: 90+43=133, Resulting Numbers: [55, 133] Generated Node #3: [55, 133] from Operation: 90+43=133 Current State: 78:[55, 133], Operations: ['63-8=55', '90+43=133'] Exploring Operation: 133-55=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 5, 28, 88, 6 ]
16
[ "5+28=33", "88*6=528", "528/33=16" ]
Current State: 16:[5, 28, 88, 6], Operations: [] Exploring Operation: 5+28=33, Resulting Numbers: [88, 6, 33] Generated Node #2: [88, 6, 33] from Operation: 5+28=33 Current State: 16:[88, 6, 33], Operations: ['5+28=33'] Exploring Operation: 88*6=528, Resulting Numbers: [33, 528] Generated Node #3: [33, 528] from Operation: 88*6=528 Current State: 16:[33, 528], Operations: ['5+28=33', '88*6=528'] Exploring Operation: 528/33=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 86, 47, 17, 17 ]
99
[ "86+47=133", "17+17=34", "133-34=99" ]
Current State: 99:[86, 47, 17, 17], Operations: [] Exploring Operation: 86+47=133, Resulting Numbers: [17, 17, 133] Generated Node #2: [17, 17, 133] from Operation: 86+47=133 Current State: 99:[17, 17, 133], Operations: ['86+47=133'] Exploring Operation: 17+17=34, Resulting Numbers: [133, 34] Generated Node #3: [133, 34] from Operation: 17+17=34 Current State: 99:[133, 34], Operations: ['86+47=133', '17+17=34'] Exploring Operation: 133-34=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 5, 50, 1, 29 ]
17
[ "50-5=45", "29-1=28", "45-28=17" ]
Current State: 17:[5, 50, 1, 29], Operations: [] Exploring Operation: 50-5=45, Resulting Numbers: [1, 29, 45] Generated Node #2: [1, 29, 45] from Operation: 50-5=45 Current State: 17:[1, 29, 45], Operations: ['50-5=45'] Exploring Operation: 29-1=28, Resulting Numbers: [45, 28] Generated Node #3: [45, 28] from Operation: 29-1=28 Current State: 17:[45, 28], Operations: ['50-5=45', '29-1=28'] Exploring Operation: 45-28=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 63, 65, 1, 48 ]
48
[ "65-63=2", "2-1=1", "48*1=48" ]
Current State: 48:[63, 65, 1, 48], Operations: [] Exploring Operation: 65-63=2, Resulting Numbers: [1, 48, 2] Generated Node #2: [1, 48, 2] from Operation: 65-63=2 Current State: 48:[1, 48, 2], Operations: ['65-63=2'] Exploring Operation: 2-1=1, Resulting Numbers: [48, 1] Generated Node #3: [48, 1] from Operation: 2-1=1 Current State: 48:[48, 1], Operations: ['65-63=2', '2-1=1'] Exploring Operation: 48*1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 45, 50, 37, 50 ]
82
[ "45+50=95", "50-37=13", "95-13=82" ]
Current State: 82:[45, 50, 37, 50], Operations: [] Exploring Operation: 45+50=95, Resulting Numbers: [37, 95] Generated Node #2: [37, 95] from Operation: 45+50=95 Current State: 82:[37, 95], Operations: ['45+50=95'] Exploring Operation: 50-37=13, Resulting Numbers: [95, 13] Generated Node #3: [95, 13] from Operation: 50-37=13 Current State: 82:[95, 13], Operations: ['45+50=95', '50-37=13'] Exploring Operation: 95-13=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 85, 37, 1, 34 ]
82
[ "85-37=48", "1*34=34", "48+34=82" ]
Current State: 82:[85, 37, 1, 34], Operations: [] Exploring Operation: 85-37=48, Resulting Numbers: [1, 34, 48] Generated Node #2: [1, 34, 48] from Operation: 85-37=48 Current State: 82:[1, 34, 48], Operations: ['85-37=48'] Exploring Operation: 1*34=34, Resulting Numbers: [48, 34] Generated Node #3: [48, 34] from Operation: 1*34=34 Current State: 82:[48, 34], Operations: ['85-37=48', '1*34=34'] Exploring Operation: 48+34=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 34, 59, 48, 94 ]
48
[ "34+59=93", "94-93=1", "48*1=48" ]
Current State: 48:[34, 59, 48, 94], Operations: [] Exploring Operation: 34+59=93, Resulting Numbers: [48, 94, 93] Generated Node #2: [48, 94, 93] from Operation: 34+59=93 Current State: 48:[48, 94, 93], Operations: ['34+59=93'] Exploring Operation: 94-93=1, Resulting Numbers: [48, 1] Generated Node #3: [48, 1] from Operation: 94-93=1 Current State: 48:[48, 1], Operations: ['34+59=93', '94-93=1'] Exploring Operation: 48*1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 32, 6, 30, 80 ]
13
[ "32-30=2", "80-2=78", "78/6=13" ]
Current State: 13:[32, 6, 30, 80], Operations: [] Exploring Operation: 32-30=2, Resulting Numbers: [6, 80, 2] Generated Node #2: [6, 80, 2] from Operation: 32-30=2 Current State: 13:[6, 80, 2], Operations: ['32-30=2'] Exploring Operation: 80-2=78, Resulting Numbers: [6, 78] Generated Node #3: [6, 78] from Operation: 80-2=78 Current State: 13:[6, 78], Operations: ['32-30=2', '80-2=78'] Exploring Operation: 78/6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 74, 91, 65, 30 ]
32
[ "91*30=2730", "2730/65=42", "74-42=32" ]
Current State: 32:[74, 91, 65, 30], Operations: [] Exploring Operation: 91*30=2730, Resulting Numbers: [74, 65, 2730] Generated Node #2: [74, 65, 2730] from Operation: 91*30=2730 Current State: 32:[74, 65, 2730], Operations: ['91*30=2730'] Exploring Operation: 2730/65=42, Resulting Numbers: [74, 42] Generated Node #3: [74, 42] from Operation: 2730/65=42 Current State: 32:[74, 42], Operations: ['91*30=2730', '2730/65=42'] Exploring Operation: 74-42=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 14, 80, 99, 11 ]
47
[ "14-11=3", "99/3=33", "80-33=47" ]
Current State: 47:[14, 80, 99, 11], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [80, 99, 3] Generated Node #2: [80, 99, 3] from Operation: 14-11=3 Current State: 47:[80, 99, 3], Operations: ['14-11=3'] Exploring Operation: 99/3=33, Resulting Numbers: [80, 33] Generated Node #3: [80, 33] from Operation: 99/3=33 Current State: 47:[80, 33], Operations: ['14-11=3', '99/3=33'] Exploring Operation: 80-33=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 36, 5, 32, 23 ]
95
[ "36-32=4", "23-4=19", "5*19=95" ]
Current State: 95:[36, 5, 32, 23], Operations: [] Exploring Operation: 36-32=4, Resulting Numbers: [5, 23, 4] Generated Node #2: [5, 23, 4] from Operation: 36-32=4 Current State: 95:[5, 23, 4], Operations: ['36-32=4'] Exploring Operation: 23-4=19, Resulting Numbers: [5, 19] Generated Node #3: [5, 19] from Operation: 23-4=19 Current State: 95:[5, 19], Operations: ['36-32=4', '23-4=19'] Exploring Operation: 5*19=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 72, 94, 33, 28 ]
70
[ "94-28=66", "66/33=2", "72-2=70" ]
Current State: 70:[72, 94, 33, 28], Operations: [] Exploring Operation: 94-28=66, Resulting Numbers: [72, 33, 66] Generated Node #2: [72, 33, 66] from Operation: 94-28=66 Current State: 70:[72, 33, 66], Operations: ['94-28=66'] Exploring Operation: 66/33=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 66/33=2 Current State: 70:[72, 2], Operations: ['94-28=66', '66/33=2'] Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 75, 25, 76, 61 ]
85
[ "75+25=100", "76-61=15", "100-15=85" ]
Current State: 85:[75, 25, 76, 61], Operations: [] Exploring Operation: 75+25=100, Resulting Numbers: [76, 61, 100] Generated Node #2: [76, 61, 100] from Operation: 75+25=100 Current State: 85:[76, 61, 100], Operations: ['75+25=100'] Exploring Operation: 76-61=15, Resulting Numbers: [100, 15] Generated Node #3: [100, 15] from Operation: 76-61=15 Current State: 85:[100, 15], Operations: ['75+25=100', '76-61=15'] Exploring Operation: 100-15=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 77, 22, 38, 76 ]
66
[ "22*38=836", "836/76=11", "77-11=66" ]
Current State: 66:[77, 22, 38, 76], Operations: [] Exploring Operation: 22*38=836, Resulting Numbers: [77, 76, 836] Generated Node #2: [77, 76, 836] from Operation: 22*38=836 Current State: 66:[77, 76, 836], Operations: ['22*38=836'] Exploring Operation: 836/76=11, Resulting Numbers: [77, 11] Generated Node #3: [77, 11] from Operation: 836/76=11 Current State: 66:[77, 11], Operations: ['22*38=836', '836/76=11'] Exploring Operation: 77-11=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 48, 8, 84, 39 ]
25
[ "48/8=6", "84/6=14", "39-14=25" ]
Current State: 25:[48, 8, 84, 39], Operations: [] Exploring Operation: 48/8=6, Resulting Numbers: [84, 39, 6] Generated Node #2: [84, 39, 6] from Operation: 48/8=6 Current State: 25:[84, 39, 6], Operations: ['48/8=6'] Exploring Operation: 84/6=14, Resulting Numbers: [39, 14] Generated Node #3: [39, 14] from Operation: 84/6=14 Current State: 25:[39, 14], Operations: ['48/8=6', '84/6=14'] Exploring Operation: 39-14=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 64, 68, 66, 82 ]
73
[ "64+82=146", "68-66=2", "146/2=73" ]
Current State: 73:[64, 68, 66, 82], Operations: [] Exploring Operation: 64+82=146, Resulting Numbers: [68, 66, 146] Generated Node #2: [68, 66, 146] from Operation: 64+82=146 Current State: 73:[68, 66, 146], Operations: ['64+82=146'] Exploring Operation: 68-66=2, Resulting Numbers: [146, 2] Generated Node #3: [146, 2] from Operation: 68-66=2 Current State: 73:[146, 2], Operations: ['64+82=146', '68-66=2'] Exploring Operation: 146/2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 2, 68, 67, 90 ]
47
[ "2+68=70", "90-67=23", "70-23=47" ]
Current State: 47:[2, 68, 67, 90], Operations: [] Exploring Operation: 2+68=70, Resulting Numbers: [67, 90, 70] Generated Node #2: [67, 90, 70] from Operation: 2+68=70 Current State: 47:[67, 90, 70], Operations: ['2+68=70'] Exploring Operation: 90-67=23, Resulting Numbers: [70, 23] Generated Node #3: [70, 23] from Operation: 90-67=23 Current State: 47:[70, 23], Operations: ['2+68=70', '90-67=23'] Exploring Operation: 70-23=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 38, 93, 76, 84 ]
47
[ "93-38=55", "84-76=8", "55-8=47" ]
Current State: 47:[38, 93, 76, 84], Operations: [] Exploring Operation: 93-38=55, Resulting Numbers: [76, 84, 55] Generated Node #2: [76, 84, 55] from Operation: 93-38=55 Current State: 47:[76, 84, 55], Operations: ['93-38=55'] Exploring Operation: 84-76=8, Resulting Numbers: [55, 8] Generated Node #3: [55, 8] from Operation: 84-76=8 Current State: 47:[55, 8], Operations: ['93-38=55', '84-76=8'] Exploring Operation: 55-8=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 49, 77, 21, 10 ]
39
[ "77-49=28", "21-10=11", "28+11=39" ]
Current State: 39:[49, 77, 21, 10], Operations: [] Exploring Operation: 77-49=28, Resulting Numbers: [21, 10, 28] Generated Node #2: [21, 10, 28] from Operation: 77-49=28 Current State: 39:[21, 10, 28], Operations: ['77-49=28'] Exploring Operation: 21-10=11, Resulting Numbers: [28, 11] Generated Node #3: [28, 11] from Operation: 21-10=11 Current State: 39:[28, 11], Operations: ['77-49=28', '21-10=11'] Exploring Operation: 28+11=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 34, 3, 35, 56 ]
14
[ "34-3=31", "35-31=4", "56/4=14" ]
Current State: 14:[34, 3, 35, 56], Operations: [] Exploring Operation: 34-3=31, Resulting Numbers: [35, 56, 31] Generated Node #2: [35, 56, 31] from Operation: 34-3=31 Current State: 14:[35, 56, 31], Operations: ['34-3=31'] Exploring Operation: 35-31=4, Resulting Numbers: [56, 4] Generated Node #3: [56, 4] from Operation: 35-31=4 Current State: 14:[56, 4], Operations: ['34-3=31', '35-31=4'] Exploring Operation: 56/4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 4, 91, 51, 2 ]
46
[ "4+91=95", "51-2=49", "95-49=46" ]
Current State: 46:[4, 91, 51, 2], Operations: [] Exploring Operation: 4+91=95, Resulting Numbers: [51, 2, 95] Generated Node #2: [51, 2, 95] from Operation: 4+91=95 Current State: 46:[51, 2, 95], Operations: ['4+91=95'] Exploring Operation: 51-2=49, Resulting Numbers: [95, 49] Generated Node #3: [95, 49] from Operation: 51-2=49 Current State: 46:[95, 49], Operations: ['4+91=95', '51-2=49'] Exploring Operation: 95-49=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 51, 82, 36, 73 ]
47
[ "82-73=9", "36/9=4", "51-4=47" ]
Current State: 47:[51, 82, 36, 73], Operations: [] Exploring Operation: 82-73=9, Resulting Numbers: [51, 36, 9] Generated Node #2: [51, 36, 9] from Operation: 82-73=9 Current State: 47:[51, 36, 9], Operations: ['82-73=9'] Exploring Operation: 36/9=4, Resulting Numbers: [51, 4] Generated Node #3: [51, 4] from Operation: 36/9=4 Current State: 47:[51, 4], Operations: ['82-73=9', '36/9=4'] Exploring Operation: 51-4=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 86, 11, 3, 56 ]
31
[ "86-11=75", "75/3=25", "56-25=31" ]
Current State: 31:[86, 11, 3, 56], Operations: [] Exploring Operation: 86-11=75, Resulting Numbers: [3, 56, 75] Generated Node #2: [3, 56, 75] from Operation: 86-11=75 Current State: 31:[3, 56, 75], Operations: ['86-11=75'] Exploring Operation: 75/3=25, Resulting Numbers: [56, 25] Generated Node #3: [56, 25] from Operation: 75/3=25 Current State: 31:[56, 25], Operations: ['86-11=75', '75/3=25'] Exploring Operation: 56-25=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 78, 28, 70, 45 ]
60
[ "28*45=1260", "1260/70=18", "78-18=60" ]
Current State: 60:[78, 28, 70, 45], Operations: [] Exploring Operation: 28*45=1260, Resulting Numbers: [78, 70, 1260] Generated Node #2: [78, 70, 1260] from Operation: 28*45=1260 Current State: 60:[78, 70, 1260], Operations: ['28*45=1260'] Exploring Operation: 1260/70=18, Resulting Numbers: [78, 18] Generated Node #3: [78, 18] from Operation: 1260/70=18 Current State: 60:[78, 18], Operations: ['28*45=1260', '1260/70=18'] Exploring Operation: 78-18=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 63, 79, 6, 2 ]
94
[ "79-63=16", "6*16=96", "96-2=94" ]
Current State: 94:[63, 79, 6, 2], Operations: [] Exploring Operation: 79-63=16, Resulting Numbers: [6, 2, 16] Generated Node #2: [6, 2, 16] from Operation: 79-63=16 Current State: 94:[6, 2, 16], Operations: ['79-63=16'] Exploring Operation: 6*16=96, Resulting Numbers: [2, 96] Generated Node #3: [2, 96] from Operation: 6*16=96 Current State: 94:[2, 96], Operations: ['79-63=16', '6*16=96'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 70, 29, 2, 55 ]
61
[ "70/2=35", "55-29=26", "35+26=61" ]
Current State: 61:[70, 29, 2, 55], Operations: [] Exploring Operation: 70/2=35, Resulting Numbers: [29, 55, 35] Generated Node #2: [29, 55, 35] from Operation: 70/2=35 Current State: 61:[29, 55, 35], Operations: ['70/2=35'] Exploring Operation: 55-29=26, Resulting Numbers: [35, 26] Generated Node #3: [35, 26] from Operation: 55-29=26 Current State: 61:[35, 26], Operations: ['70/2=35', '55-29=26'] Exploring Operation: 35+26=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 3, 9, 99, 87 ]
70
[ "9/3=3", "87/3=29", "99-29=70" ]
Current State: 70:[3, 9, 99, 87], Operations: [] Exploring Operation: 9/3=3, Resulting Numbers: [99, 87, 3] Generated Node #2: [99, 87, 3] from Operation: 9/3=3 Current State: 70:[99, 87, 3], Operations: ['9/3=3'] Exploring Operation: 87/3=29, Resulting Numbers: [99, 29] Generated Node #3: [99, 29] from Operation: 87/3=29 Current State: 70:[99, 29], Operations: ['9/3=3', '87/3=29'] Exploring Operation: 99-29=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 42, 4, 64, 16 ]
58
[ "4*64=256", "256/16=16", "42+16=58" ]
Current State: 58:[42, 4, 64, 16], Operations: [] Exploring Operation: 4*64=256, Resulting Numbers: [42, 16, 256] Generated Node #2: [42, 16, 256] from Operation: 4*64=256 Current State: 58:[42, 16, 256], Operations: ['4*64=256'] Exploring Operation: 256/16=16, Resulting Numbers: [42, 16] Generated Node #3: [42, 16] from Operation: 256/16=16 Current State: 58:[42, 16], Operations: ['4*64=256', '256/16=16'] Exploring Operation: 42+16=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 55, 93, 58, 16 ]
36
[ "93-55=38", "58+16=74", "74-38=36" ]
Current State: 36:[55, 93, 58, 16], Operations: [] Exploring Operation: 93-55=38, Resulting Numbers: [58, 16, 38] Generated Node #2: [58, 16, 38] from Operation: 93-55=38 Current State: 36:[58, 16, 38], Operations: ['93-55=38'] Exploring Operation: 58+16=74, Resulting Numbers: [38, 74] Generated Node #3: [38, 74] from Operation: 58+16=74 Current State: 36:[38, 74], Operations: ['93-55=38', '58+16=74'] Exploring Operation: 74-38=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 97, 49, 73, 2 ]
75
[ "97+49=146", "73-2=71", "146-71=75" ]
Current State: 75:[97, 49, 73, 2], Operations: [] Exploring Operation: 97+49=146, Resulting Numbers: [73, 2, 146] Generated Node #2: [73, 2, 146] from Operation: 97+49=146 Current State: 75:[73, 2, 146], Operations: ['97+49=146'] Exploring Operation: 73-2=71, Resulting Numbers: [146, 71] Generated Node #3: [146, 71] from Operation: 73-2=71 Current State: 75:[146, 71], Operations: ['97+49=146', '73-2=71'] Exploring Operation: 146-71=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 66, 60, 70, 12 ]
91
[ "66+12=78", "70*78=5460", "5460/60=91" ]
Current State: 91:[66, 60, 70, 12], Operations: [] Exploring Operation: 66+12=78, Resulting Numbers: [60, 70, 78] Generated Node #2: [60, 70, 78] from Operation: 66+12=78 Current State: 91:[60, 70, 78], Operations: ['66+12=78'] Exploring Operation: 70*78=5460, Resulting Numbers: [60, 5460] Generated Node #3: [60, 5460] from Operation: 70*78=5460 Current State: 91:[60, 5460], Operations: ['66+12=78', '70*78=5460'] Exploring Operation: 5460/60=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 80, 14, 81, 80 ]
81
[ "80-80=0", "14*0=0", "81+0=81" ]
Current State: 81:[80, 14, 81, 80], Operations: [] Exploring Operation: 80-80=0, Resulting Numbers: [14, 81, 0] Generated Node #2: [14, 81, 0] from Operation: 80-80=0 Current State: 81:[14, 81, 0], Operations: ['80-80=0'] Exploring Operation: 14*0=0, Resulting Numbers: [81, 0] Generated Node #3: [81, 0] from Operation: 14*0=0 Current State: 81:[81, 0], Operations: ['80-80=0', '14*0=0'] Exploring Operation: 81+0=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 23, 35, 84, 81 ]
34
[ "84-81=3", "23*3=69", "69-35=34" ]
Current State: 34:[23, 35, 84, 81], Operations: [] Exploring Operation: 84-81=3, Resulting Numbers: [23, 35, 3] Generated Node #2: [23, 35, 3] from Operation: 84-81=3 Current State: 34:[23, 35, 3], Operations: ['84-81=3'] Exploring Operation: 23*3=69, Resulting Numbers: [35, 69] Generated Node #3: [35, 69] from Operation: 23*3=69 Current State: 34:[35, 69], Operations: ['84-81=3', '23*3=69'] Exploring Operation: 69-35=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 72, 14, 21, 46 ]
62
[ "72*21=1512", "1512/14=108", "108-46=62" ]
Current State: 62:[72, 14, 21, 46], Operations: [] Exploring Operation: 72*21=1512, Resulting Numbers: [14, 46, 1512] Generated Node #2: [14, 46, 1512] from Operation: 72*21=1512 Current State: 62:[14, 46, 1512], Operations: ['72*21=1512'] Exploring Operation: 1512/14=108, Resulting Numbers: [46, 108] Generated Node #3: [46, 108] from Operation: 1512/14=108 Current State: 62:[46, 108], Operations: ['72*21=1512', '1512/14=108'] Exploring Operation: 108-46=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 76, 79, 3, 84 ]
85
[ "79-76=3", "3/3=1", "84+1=85" ]
Current State: 85:[76, 79, 3, 84], Operations: [] Exploring Operation: 79-76=3, Resulting Numbers: [3, 84, 3] Generated Node #2: [3, 84, 3] from Operation: 79-76=3 Current State: 85:[3, 84, 3], Operations: ['79-76=3'] Exploring Operation: 3/3=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 3/3=1 Current State: 85:[84, 1], Operations: ['79-76=3', '3/3=1'] Exploring Operation: 84+1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 25, 32, 93, 9 ]
37
[ "25*32=800", "93*9=837", "837-800=37" ]
Current State: 37:[25, 32, 93, 9], Operations: [] Exploring Operation: 25*32=800, Resulting Numbers: [93, 9, 800] Generated Node #2: [93, 9, 800] from Operation: 25*32=800 Current State: 37:[93, 9, 800], Operations: ['25*32=800'] Exploring Operation: 93*9=837, Resulting Numbers: [800, 837] Generated Node #3: [800, 837] from Operation: 93*9=837 Current State: 37:[800, 837], Operations: ['25*32=800', '93*9=837'] Exploring Operation: 837-800=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 59, 77, 6, 79 ]
85
[ "77+79=156", "156/6=26", "59+26=85" ]
Current State: 85:[59, 77, 6, 79], Operations: [] Exploring Operation: 77+79=156, Resulting Numbers: [59, 6, 156] Generated Node #2: [59, 6, 156] from Operation: 77+79=156 Current State: 85:[59, 6, 156], Operations: ['77+79=156'] Exploring Operation: 156/6=26, Resulting Numbers: [59, 26] Generated Node #3: [59, 26] from Operation: 156/6=26 Current State: 85:[59, 26], Operations: ['77+79=156', '156/6=26'] Exploring Operation: 59+26=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 20, 2, 86, 12 ]
45
[ "86-20=66", "66/2=33", "12+33=45" ]
Current State: 45:[20, 2, 86, 12], Operations: [] Exploring Operation: 86-20=66, Resulting Numbers: [2, 12, 66] Generated Node #2: [2, 12, 66] from Operation: 86-20=66 Current State: 45:[2, 12, 66], Operations: ['86-20=66'] Exploring Operation: 66/2=33, Resulting Numbers: [12, 33] Generated Node #3: [12, 33] from Operation: 66/2=33 Current State: 45:[12, 33], Operations: ['86-20=66', '66/2=33'] Exploring Operation: 12+33=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 91, 27, 72, 5 ]
36
[ "91+5=96", "27*96=2592", "2592/72=36" ]
Current State: 36:[91, 27, 72, 5], Operations: [] Exploring Operation: 91+5=96, Resulting Numbers: [27, 72, 96] Generated Node #2: [27, 72, 96] from Operation: 91+5=96 Current State: 36:[27, 72, 96], Operations: ['91+5=96'] Exploring Operation: 27*96=2592, Resulting Numbers: [72, 2592] Generated Node #3: [72, 2592] from Operation: 27*96=2592 Current State: 36:[72, 2592], Operations: ['91+5=96', '27*96=2592'] Exploring Operation: 2592/72=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 9, 84, 21, 16 ]
73
[ "84/21=4", "16*4=64", "9+64=73" ]
Current State: 73:[9, 84, 21, 16], Operations: [] Exploring Operation: 84/21=4, Resulting Numbers: [9, 16, 4] Generated Node #2: [9, 16, 4] from Operation: 84/21=4 Current State: 73:[9, 16, 4], Operations: ['84/21=4'] Exploring Operation: 16*4=64, Resulting Numbers: [9, 64] Generated Node #3: [9, 64] from Operation: 16*4=64 Current State: 73:[9, 64], Operations: ['84/21=4', '16*4=64'] Exploring Operation: 9+64=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 38, 47, 79, 46 ]
42
[ "47-38=9", "79-46=33", "9+33=42" ]
Current State: 42:[38, 47, 79, 46], Operations: [] Exploring Operation: 47-38=9, Resulting Numbers: [79, 46, 9] Generated Node #2: [79, 46, 9] from Operation: 47-38=9 Current State: 42:[79, 46, 9], Operations: ['47-38=9'] Exploring Operation: 79-46=33, Resulting Numbers: [9, 33] Generated Node #3: [9, 33] from Operation: 79-46=33 Current State: 42:[9, 33], Operations: ['47-38=9', '79-46=33'] Exploring Operation: 9+33=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 65, 36, 90, 42 ]
40
[ "90*42=3780", "3780/36=105", "105-65=40" ]
Current State: 40:[65, 36, 90, 42], Operations: [] Exploring Operation: 90*42=3780, Resulting Numbers: [65, 36, 3780] Generated Node #2: [65, 36, 3780] from Operation: 90*42=3780 Current State: 40:[65, 36, 3780], Operations: ['90*42=3780'] Exploring Operation: 3780/36=105, Resulting Numbers: [65, 105] Generated Node #3: [65, 105] from Operation: 3780/36=105 Current State: 40:[65, 105], Operations: ['90*42=3780', '3780/36=105'] Exploring Operation: 105-65=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 93, 2, 60, 19 ]
47
[ "93-60=33", "2*33=66", "66-19=47" ]
Current State: 47:[93, 2, 60, 19], Operations: [] Exploring Operation: 93-60=33, Resulting Numbers: [2, 19, 33] Generated Node #2: [2, 19, 33] from Operation: 93-60=33 Current State: 47:[2, 19, 33], Operations: ['93-60=33'] Exploring Operation: 2*33=66, Resulting Numbers: [19, 66] Generated Node #3: [19, 66] from Operation: 2*33=66 Current State: 47:[19, 66], Operations: ['93-60=33', '2*33=66'] Exploring Operation: 66-19=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 78, 60, 30, 30 ]
78
[ "78+60=138", "30+30=60", "138-60=78" ]
Current State: 78:[78, 60, 30, 30], Operations: [] Exploring Operation: 78+60=138, Resulting Numbers: [30, 30, 138] Generated Node #2: [30, 30, 138] from Operation: 78+60=138 Current State: 78:[30, 30, 138], Operations: ['78+60=138'] Exploring Operation: 30+30=60, Resulting Numbers: [138, 60] Generated Node #3: [138, 60] from Operation: 30+30=60 Current State: 78:[138, 60], Operations: ['78+60=138', '30+30=60'] Exploring Operation: 138-60=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 56, 14, 52, 58 ]
40
[ "56+14=70", "52+58=110", "110-70=40" ]
Current State: 40:[56, 14, 52, 58], Operations: [] Exploring Operation: 56+14=70, Resulting Numbers: [52, 58, 70] Generated Node #2: [52, 58, 70] from Operation: 56+14=70 Current State: 40:[52, 58, 70], Operations: ['56+14=70'] Exploring Operation: 52+58=110, Resulting Numbers: [70, 110] Generated Node #3: [70, 110] from Operation: 52+58=110 Current State: 40:[70, 110], Operations: ['56+14=70', '52+58=110'] Exploring Operation: 110-70=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 18, 59, 32, 5 ]
83
[ "18+59=77", "32*5=160", "160-77=83" ]
Current State: 83:[18, 59, 32, 5], Operations: [] Exploring Operation: 18+59=77, Resulting Numbers: [32, 5, 77] Generated Node #2: [32, 5, 77] from Operation: 18+59=77 Current State: 83:[32, 5, 77], Operations: ['18+59=77'] Exploring Operation: 32*5=160, Resulting Numbers: [77, 160] Generated Node #3: [77, 160] from Operation: 32*5=160 Current State: 83:[77, 160], Operations: ['18+59=77', '32*5=160'] Exploring Operation: 160-77=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 6, 86, 76, 56 ]
100
[ "86-6=80", "76-56=20", "80+20=100" ]
Current State: 100:[6, 86, 76, 56], Operations: [] Exploring Operation: 86-6=80, Resulting Numbers: [76, 56, 80] Generated Node #2: [76, 56, 80] from Operation: 86-6=80 Current State: 100:[76, 56, 80], Operations: ['86-6=80'] Exploring Operation: 76-56=20, Resulting Numbers: [80, 20] Generated Node #3: [80, 20] from Operation: 76-56=20 Current State: 100:[80, 20], Operations: ['86-6=80', '76-56=20'] Exploring Operation: 80+20=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 28, 12, 4, 70 ]
60
[ "28+12=40", "40/4=10", "70-10=60" ]
Current State: 60:[28, 12, 4, 70], Operations: [] Exploring Operation: 28+12=40, Resulting Numbers: [4, 70, 40] Generated Node #2: [4, 70, 40] from Operation: 28+12=40 Current State: 60:[4, 70, 40], Operations: ['28+12=40'] Exploring Operation: 40/4=10, Resulting Numbers: [70, 10] Generated Node #3: [70, 10] from Operation: 40/4=10 Current State: 60:[70, 10], Operations: ['28+12=40', '40/4=10'] Exploring Operation: 70-10=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 92, 88, 80, 90 ]
18
[ "92+88=180", "90-80=10", "180/10=18" ]
Current State: 18:[92, 88, 80, 90], Operations: [] Exploring Operation: 92+88=180, Resulting Numbers: [80, 90, 180] Generated Node #2: [80, 90, 180] from Operation: 92+88=180 Current State: 18:[80, 90, 180], Operations: ['92+88=180'] Exploring Operation: 90-80=10, Resulting Numbers: [180, 10] Generated Node #3: [180, 10] from Operation: 90-80=10 Current State: 18:[180, 10], Operations: ['92+88=180', '90-80=10'] Exploring Operation: 180/10=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 1, 34, 15, 6 ]
85
[ "1*34=34", "15*34=510", "510/6=85" ]
Current State: 85:[1, 34, 15, 6], Operations: [] Exploring Operation: 1*34=34, Resulting Numbers: [15, 6, 34] Generated Node #2: [15, 6, 34] from Operation: 1*34=34 Current State: 85:[15, 6, 34], Operations: ['1*34=34'] Exploring Operation: 15*34=510, Resulting Numbers: [6, 510] Generated Node #3: [6, 510] from Operation: 15*34=510 Current State: 85:[6, 510], Operations: ['1*34=34', '15*34=510'] Exploring Operation: 510/6=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 41, 63, 97, 58 ]
51
[ "41+63=104", "97+58=155", "155-104=51" ]
Current State: 51:[41, 63, 97, 58], Operations: [] Exploring Operation: 41+63=104, Resulting Numbers: [97, 58, 104] Generated Node #2: [97, 58, 104] from Operation: 41+63=104 Current State: 51:[97, 58, 104], Operations: ['41+63=104'] Exploring Operation: 97+58=155, Resulting Numbers: [104, 155] Generated Node #3: [104, 155] from Operation: 97+58=155 Current State: 51:[104, 155], Operations: ['41+63=104', '97+58=155'] Exploring Operation: 155-104=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 3, 10, 40, 50 ]
48
[ "3+40=43", "50/10=5", "43+5=48" ]
Current State: 48:[3, 10, 40, 50], Operations: [] Exploring Operation: 3+40=43, Resulting Numbers: [10, 50, 43] Generated Node #2: [10, 50, 43] from Operation: 3+40=43 Current State: 48:[10, 50, 43], Operations: ['3+40=43'] Exploring Operation: 50/10=5, Resulting Numbers: [43, 5] Generated Node #3: [43, 5] from Operation: 50/10=5 Current State: 48:[43, 5], Operations: ['3+40=43', '50/10=5'] Exploring Operation: 43+5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 61, 60, 39, 73 ]
34
[ "61-60=1", "73-39=34", "1*34=34" ]
Current State: 34:[61, 60, 39, 73], Operations: [] Exploring Operation: 61-60=1, Resulting Numbers: [39, 73, 1] Generated Node #2: [39, 73, 1] from Operation: 61-60=1 Current State: 34:[39, 73, 1], Operations: ['61-60=1'] Exploring Operation: 73-39=34, Resulting Numbers: [1, 34] Generated Node #3: [1, 34] from Operation: 73-39=34 Current State: 34:[1, 34], Operations: ['61-60=1', '73-39=34'] Exploring Operation: 1*34=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 29, 38, 12, 24 ]
27
[ "38-29=9", "12+24=36", "36-9=27" ]
Current State: 27:[29, 38, 12, 24], Operations: [] Exploring Operation: 38-29=9, Resulting Numbers: [12, 24, 9] Generated Node #2: [12, 24, 9] from Operation: 38-29=9 Current State: 27:[12, 24, 9], Operations: ['38-29=9'] Exploring Operation: 12+24=36, Resulting Numbers: [9, 36] Generated Node #3: [9, 36] from Operation: 12+24=36 Current State: 27:[9, 36], Operations: ['38-29=9', '12+24=36'] Exploring Operation: 36-9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 85, 43, 32, 99 ]
89
[ "85-43=42", "32+99=131", "131-42=89" ]
Current State: 89:[85, 43, 32, 99], Operations: [] Exploring Operation: 85-43=42, Resulting Numbers: [32, 99, 42] Generated Node #2: [32, 99, 42] from Operation: 85-43=42 Current State: 89:[32, 99, 42], Operations: ['85-43=42'] Exploring Operation: 32+99=131, Resulting Numbers: [42, 131] Generated Node #3: [42, 131] from Operation: 32+99=131 Current State: 89:[42, 131], Operations: ['85-43=42', '32+99=131'] Exploring Operation: 131-42=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 40, 26, 10, 74 ]
70
[ "40-26=14", "10+74=84", "84-14=70" ]
Current State: 70:[40, 26, 10, 74], Operations: [] Exploring Operation: 40-26=14, Resulting Numbers: [10, 74, 14] Generated Node #2: [10, 74, 14] from Operation: 40-26=14 Current State: 70:[10, 74, 14], Operations: ['40-26=14'] Exploring Operation: 10+74=84, Resulting Numbers: [14, 84] Generated Node #3: [14, 84] from Operation: 10+74=84 Current State: 70:[14, 84], Operations: ['40-26=14', '10+74=84'] Exploring Operation: 84-14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 21, 11, 86, 99 ]
46
[ "21*11=231", "86+99=185", "231-185=46" ]
Current State: 46:[21, 11, 86, 99], Operations: [] Exploring Operation: 21*11=231, Resulting Numbers: [86, 99, 231] Generated Node #2: [86, 99, 231] from Operation: 21*11=231 Current State: 46:[86, 99, 231], Operations: ['21*11=231'] Exploring Operation: 86+99=185, Resulting Numbers: [231, 185] Generated Node #3: [231, 185] from Operation: 86+99=185 Current State: 46:[231, 185], Operations: ['21*11=231', '86+99=185'] Exploring Operation: 231-185=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 37, 49, 36, 47 ]
96
[ "37-36=1", "49+47=96", "1*96=96" ]
Current State: 96:[37, 49, 36, 47], Operations: [] Exploring Operation: 37-36=1, Resulting Numbers: [49, 47, 1] Generated Node #2: [49, 47, 1] from Operation: 37-36=1 Current State: 96:[49, 47, 1], Operations: ['37-36=1'] Exploring Operation: 49+47=96, Resulting Numbers: [1, 96] Generated Node #3: [1, 96] from Operation: 49+47=96 Current State: 96:[1, 96], Operations: ['37-36=1', '49+47=96'] Exploring Operation: 1*96=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 21, 37, 4, 5 ]
78
[ "21+37=58", "4*5=20", "58+20=78" ]
Current State: 78:[21, 37, 4, 5], Operations: [] Exploring Operation: 21+37=58, Resulting Numbers: [4, 5, 58] Generated Node #2: [4, 5, 58] from Operation: 21+37=58 Current State: 78:[4, 5, 58], Operations: ['21+37=58'] Exploring Operation: 4*5=20, Resulting Numbers: [58, 20] Generated Node #3: [58, 20] from Operation: 4*5=20 Current State: 78:[58, 20], Operations: ['21+37=58', '4*5=20'] Exploring Operation: 58+20=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 22, 10, 81, 87 ]
14
[ "22-10=12", "81+87=168", "168/12=14" ]
Current State: 14:[22, 10, 81, 87], Operations: [] Exploring Operation: 22-10=12, Resulting Numbers: [81, 87, 12] Generated Node #2: [81, 87, 12] from Operation: 22-10=12 Current State: 14:[81, 87, 12], Operations: ['22-10=12'] Exploring Operation: 81+87=168, Resulting Numbers: [12, 168] Generated Node #3: [12, 168] from Operation: 81+87=168 Current State: 14:[12, 168], Operations: ['22-10=12', '81+87=168'] Exploring Operation: 168/12=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4