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
[ 7, 55, 65, 45 ]
14
[ "65+45=110", "7*110=770", "770/55=14" ]
Current State: 14:[7, 55, 65, 45], Operations: [] Exploring Operation: 65+45=110, Resulting Numbers: [7, 55, 110] Generated Node #2: [7, 55, 110] from Operation: 65+45=110 Current State: 14:[7, 55, 110], Operations: ['65+45=110'] Exploring Operation: 7*110=770, Resulting Numbers: [55, 770] Generated Node #3: [55, 770] from Operation: 7*110=770 Current State: 14:[55, 770], Operations: ['65+45=110', '7*110=770'] Exploring Operation: 770/55=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 2, 82, 62, 36 ]
39
[ "82-36=46", "46/2=23", "62-23=39" ]
Current State: 39:[2, 82, 62, 36], Operations: [] Exploring Operation: 82-36=46, Resulting Numbers: [2, 62, 46] Generated Node #2: [2, 62, 46] from Operation: 82-36=46 Current State: 39:[2, 62, 46], Operations: ['82-36=46'] Exploring Operation: 46/2=23, Resulting Numbers: [62, 23] Generated Node #3: [62, 23] from Operation: 46/2=23 Current State: 39:[62, 23], Operations: ['82-36=46', '46/2=23'] Exploring Operation: 62-23=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 46, 22, 28, 96 ]
44
[ "46-22=24", "96-28=68", "68-24=44" ]
Current State: 44:[46, 22, 28, 96], Operations: [] Exploring Operation: 46-22=24, Resulting Numbers: [28, 96, 24] Generated Node #2: [28, 96, 24] from Operation: 46-22=24 Current State: 44:[28, 96, 24], Operations: ['46-22=24'] Exploring Operation: 96-28=68, Resulting Numbers: [24, 68] Generated Node #3: [24, 68] from Operation: 96-28=68 Current State: 44:[24, 68], Operations: ['46-22=24', '96-28=68'] Exploring Operation: 68-24=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 50, 57, 9, 62 ]
36
[ "50+57=107", "9+62=71", "107-71=36" ]
Current State: 36:[50, 57, 9, 62], Operations: [] Exploring Operation: 50+57=107, Resulting Numbers: [9, 62, 107] Generated Node #2: [9, 62, 107] from Operation: 50+57=107 Current State: 36:[9, 62, 107], Operations: ['50+57=107'] Exploring Operation: 9+62=71, Resulting Numbers: [107, 71] Generated Node #3: [107, 71] from Operation: 9+62=71 Current State: 36:[107, 71], Operations: ['50+57=107', '9+62=71'] Exploring Operation: 107-71=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 14, 4, 93, 16 ]
43
[ "14+93=107", "4*16=64", "107-64=43" ]
Current State: 43:[14, 4, 93, 16], Operations: [] Exploring Operation: 14+93=107, Resulting Numbers: [4, 16, 107] Generated Node #2: [4, 16, 107] from Operation: 14+93=107 Current State: 43:[4, 16, 107], Operations: ['14+93=107'] Exploring Operation: 4*16=64, Resulting Numbers: [107, 64] Generated Node #3: [107, 64] from Operation: 4*16=64 Current State: 43:[107, 64], Operations: ['14+93=107', '4*16=64'] Exploring Operation: 107-64=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 74, 62, 10, 78 ]
86
[ "78-62=16", "10*16=160", "160-74=86" ]
Current State: 86:[74, 62, 10, 78], Operations: [] Exploring Operation: 78-62=16, Resulting Numbers: [74, 10, 16] Generated Node #2: [74, 10, 16] from Operation: 78-62=16 Current State: 86:[74, 10, 16], Operations: ['78-62=16'] Exploring Operation: 10*16=160, Resulting Numbers: [74, 160] Generated Node #3: [74, 160] from Operation: 10*16=160 Current State: 86:[74, 160], Operations: ['78-62=16', '10*16=160'] Exploring Operation: 160-74=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 10, 66, 99, 62 ]
47
[ "10*99=990", "990/66=15", "62-15=47" ]
Current State: 47:[10, 66, 99, 62], Operations: [] Exploring Operation: 10*99=990, Resulting Numbers: [66, 62, 990] Generated Node #2: [66, 62, 990] from Operation: 10*99=990 Current State: 47:[66, 62, 990], Operations: ['10*99=990'] Exploring Operation: 990/66=15, Resulting Numbers: [62, 15] Generated Node #3: [62, 15] from Operation: 990/66=15 Current State: 47:[62, 15], Operations: ['10*99=990', '990/66=15'] Exploring Operation: 62-15=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 57, 38, 29, 74 ]
95
[ "38*74=2812", "2812-57=2755", "2755/29=95" ]
Current State: 95:[57, 38, 29, 74], Operations: [] Exploring Operation: 38*74=2812, Resulting Numbers: [57, 29, 2812] Generated Node #2: [57, 29, 2812] from Operation: 38*74=2812 Current State: 95:[57, 29, 2812], Operations: ['38*74=2812'] Exploring Operation: 2812-57=2755, Resulting Numbers: [29, 2755] Generated Node #3: [29, 2755] from Operation: 2812-57=2755 Current State: 95:[29, 2755], Operations: ['38*74=2812', '2812-57=2755'] Exploring Operation: 2755/29=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 32, 92, 48, 36 ]
93
[ "32+92=124", "36*124=4464", "4464/48=93" ]
Current State: 93:[32, 92, 48, 36], Operations: [] Exploring Operation: 32+92=124, Resulting Numbers: [48, 36, 124] Generated Node #2: [48, 36, 124] from Operation: 32+92=124 Current State: 93:[48, 36, 124], Operations: ['32+92=124'] Exploring Operation: 36*124=4464, Resulting Numbers: [48, 4464] Generated Node #3: [48, 4464] from Operation: 36*124=4464 Current State: 93:[48, 4464], Operations: ['32+92=124', '36*124=4464'] Exploring Operation: 4464/48=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 38, 16, 6, 2 ]
67
[ "16*6=96", "38+96=134", "134/2=67" ]
Current State: 67:[38, 16, 6, 2], Operations: [] Exploring Operation: 16*6=96, Resulting Numbers: [38, 2, 96] Generated Node #2: [38, 2, 96] from Operation: 16*6=96 Current State: 67:[38, 2, 96], Operations: ['16*6=96'] Exploring Operation: 38+96=134, Resulting Numbers: [2, 134] Generated Node #3: [2, 134] from Operation: 38+96=134 Current State: 67:[2, 134], Operations: ['16*6=96', '38+96=134'] Exploring Operation: 134/2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 89, 47, 42, 38 ]
56
[ "89+47=136", "42+38=80", "136-80=56" ]
Current State: 56:[89, 47, 42, 38], Operations: [] Exploring Operation: 89+47=136, Resulting Numbers: [42, 38, 136] Generated Node #2: [42, 38, 136] from Operation: 89+47=136 Current State: 56:[42, 38, 136], Operations: ['89+47=136'] Exploring Operation: 42+38=80, Resulting Numbers: [136, 80] Generated Node #3: [136, 80] from Operation: 42+38=80 Current State: 56:[136, 80], Operations: ['89+47=136', '42+38=80'] Exploring Operation: 136-80=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 36, 18, 67, 29 ]
56
[ "36-18=18", "67-29=38", "18+38=56" ]
Current State: 56:[36, 18, 67, 29], Operations: [] Exploring Operation: 36-18=18, Resulting Numbers: [67, 29, 18] Generated Node #2: [67, 29, 18] from Operation: 36-18=18 Current State: 56:[67, 29, 18], Operations: ['36-18=18'] Exploring Operation: 67-29=38, Resulting Numbers: [18, 38] Generated Node #3: [18, 38] from Operation: 67-29=38 Current State: 56:[18, 38], Operations: ['36-18=18', '67-29=38'] Exploring Operation: 18+38=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 89, 9, 90, 90 ]
11
[ "90-89=1", "90/9=10", "1+10=11" ]
Current State: 11:[89, 9, 90, 90], Operations: [] Exploring Operation: 90-89=1, Resulting Numbers: [9, 1] Generated Node #2: [9, 1] from Operation: 90-89=1 Current State: 11:[9, 1], Operations: ['90-89=1'] Exploring Operation: 90/9=10, Resulting Numbers: [1, 10] Generated Node #3: [1, 10] from Operation: 90/9=10 Current State: 11:[1, 10], Operations: ['90-89=1', '90/9=10'] Exploring Operation: 1+10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 2, 98, 74, 42 ]
34
[ "74-42=32", "2*32=64", "98-64=34" ]
Current State: 34:[2, 98, 74, 42], Operations: [] Exploring Operation: 74-42=32, Resulting Numbers: [2, 98, 32] Generated Node #2: [2, 98, 32] from Operation: 74-42=32 Current State: 34:[2, 98, 32], Operations: ['74-42=32'] Exploring Operation: 2*32=64, Resulting Numbers: [98, 64] Generated Node #3: [98, 64] from Operation: 2*32=64 Current State: 34:[98, 64], Operations: ['74-42=32', '2*32=64'] Exploring Operation: 98-64=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 94, 36, 87, 17 ]
83
[ "94-87=7", "17*7=119", "119-36=83" ]
Current State: 83:[94, 36, 87, 17], Operations: [] Exploring Operation: 94-87=7, Resulting Numbers: [36, 17, 7] Generated Node #2: [36, 17, 7] from Operation: 94-87=7 Current State: 83:[36, 17, 7], Operations: ['94-87=7'] Exploring Operation: 17*7=119, Resulting Numbers: [36, 119] Generated Node #3: [36, 119] from Operation: 17*7=119 Current State: 83:[36, 119], Operations: ['94-87=7', '17*7=119'] Exploring Operation: 119-36=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 14, 54, 24, 74 ]
18
[ "14+54=68", "74-24=50", "68-50=18" ]
Current State: 18:[14, 54, 24, 74], Operations: [] Exploring Operation: 14+54=68, Resulting Numbers: [24, 74, 68] Generated Node #2: [24, 74, 68] from Operation: 14+54=68 Current State: 18:[24, 74, 68], Operations: ['14+54=68'] Exploring Operation: 74-24=50, Resulting Numbers: [68, 50] Generated Node #3: [68, 50] from Operation: 74-24=50 Current State: 18:[68, 50], Operations: ['14+54=68', '74-24=50'] Exploring Operation: 68-50=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 72, 46, 83, 90 ]
19
[ "72-46=26", "90-83=7", "26-7=19" ]
Current State: 19:[72, 46, 83, 90], Operations: [] Exploring Operation: 72-46=26, Resulting Numbers: [83, 90, 26] Generated Node #2: [83, 90, 26] from Operation: 72-46=26 Current State: 19:[83, 90, 26], Operations: ['72-46=26'] Exploring Operation: 90-83=7, Resulting Numbers: [26, 7] Generated Node #3: [26, 7] from Operation: 90-83=7 Current State: 19:[26, 7], Operations: ['72-46=26', '90-83=7'] Exploring Operation: 26-7=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 35, 58, 55, 40 ]
29
[ "55-35=20", "58*20=1160", "1160/40=29" ]
Current State: 29:[35, 58, 55, 40], Operations: [] Exploring Operation: 55-35=20, Resulting Numbers: [58, 40, 20] Generated Node #2: [58, 40, 20] from Operation: 55-35=20 Current State: 29:[58, 40, 20], Operations: ['55-35=20'] Exploring Operation: 58*20=1160, Resulting Numbers: [40, 1160] Generated Node #3: [40, 1160] from Operation: 58*20=1160 Current State: 29:[40, 1160], Operations: ['55-35=20', '58*20=1160'] Exploring Operation: 1160/40=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 54, 45, 4, 2 ]
63
[ "54*4=216", "216/2=108", "108-45=63" ]
Current State: 63:[54, 45, 4, 2], Operations: [] Exploring Operation: 54*4=216, Resulting Numbers: [45, 2, 216] Generated Node #2: [45, 2, 216] from Operation: 54*4=216 Current State: 63:[45, 2, 216], Operations: ['54*4=216'] Exploring Operation: 216/2=108, Resulting Numbers: [45, 108] Generated Node #3: [45, 108] from Operation: 216/2=108 Current State: 63:[45, 108], Operations: ['54*4=216', '216/2=108'] Exploring Operation: 108-45=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 28, 56, 29, 41 ]
99
[ "56/28=2", "29*2=58", "41+58=99" ]
Current State: 99:[28, 56, 29, 41], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [29, 41, 2] Generated Node #2: [29, 41, 2] from Operation: 56/28=2 Current State: 99:[29, 41, 2], Operations: ['56/28=2'] Exploring Operation: 29*2=58, Resulting Numbers: [41, 58] Generated Node #3: [41, 58] from Operation: 29*2=58 Current State: 99:[41, 58], Operations: ['56/28=2', '29*2=58'] Exploring Operation: 41+58=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 25, 49, 10, 43 ]
100
[ "49-10=39", "43-39=4", "25*4=100" ]
Current State: 100:[25, 49, 10, 43], Operations: [] Exploring Operation: 49-10=39, Resulting Numbers: [25, 43, 39] Generated Node #2: [25, 43, 39] from Operation: 49-10=39 Current State: 100:[25, 43, 39], Operations: ['49-10=39'] Exploring Operation: 43-39=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 43-39=4 Current State: 100:[25, 4], Operations: ['49-10=39', '43-39=4'] Exploring Operation: 25*4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 57, 27, 70, 70 ]
85
[ "57+27=84", "70/70=1", "84+1=85" ]
Current State: 85:[57, 27, 70, 70], Operations: [] Exploring Operation: 57+27=84, Resulting Numbers: [70, 70, 84] Generated Node #2: [70, 70, 84] from Operation: 57+27=84 Current State: 85:[70, 70, 84], Operations: ['57+27=84'] Exploring Operation: 70/70=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 70/70=1 Current State: 85:[84, 1], Operations: ['57+27=84', '70/70=1'] Exploring Operation: 84+1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 5, 87, 10, 24 ]
99
[ "10/5=2", "24/2=12", "87+12=99" ]
Current State: 99:[5, 87, 10, 24], Operations: [] Exploring Operation: 10/5=2, Resulting Numbers: [87, 24, 2] Generated Node #2: [87, 24, 2] from Operation: 10/5=2 Current State: 99:[87, 24, 2], Operations: ['10/5=2'] Exploring Operation: 24/2=12, Resulting Numbers: [87, 12] Generated Node #3: [87, 12] from Operation: 24/2=12 Current State: 99:[87, 12], Operations: ['10/5=2', '24/2=12'] Exploring Operation: 87+12=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 62, 27, 42, 48 ]
60
[ "48-27=21", "42/21=2", "62-2=60" ]
Current State: 60:[62, 27, 42, 48], Operations: [] Exploring Operation: 48-27=21, Resulting Numbers: [62, 42, 21] Generated Node #2: [62, 42, 21] from Operation: 48-27=21 Current State: 60:[62, 42, 21], Operations: ['48-27=21'] Exploring Operation: 42/21=2, Resulting Numbers: [62, 2] Generated Node #3: [62, 2] from Operation: 42/21=2 Current State: 60:[62, 2], Operations: ['48-27=21', '42/21=2'] Exploring Operation: 62-2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 88, 74, 54, 6 ]
34
[ "88-74=14", "54-6=48", "48-14=34" ]
Current State: 34:[88, 74, 54, 6], Operations: [] Exploring Operation: 88-74=14, Resulting Numbers: [54, 6, 14] Generated Node #2: [54, 6, 14] from Operation: 88-74=14 Current State: 34:[54, 6, 14], Operations: ['88-74=14'] Exploring Operation: 54-6=48, Resulting Numbers: [14, 48] Generated Node #3: [14, 48] from Operation: 54-6=48 Current State: 34:[14, 48], Operations: ['88-74=14', '54-6=48'] Exploring Operation: 48-14=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 66, 52, 9, 28 ]
51
[ "66-52=14", "9+28=37", "14+37=51" ]
Current State: 51:[66, 52, 9, 28], Operations: [] Exploring Operation: 66-52=14, Resulting Numbers: [9, 28, 14] Generated Node #2: [9, 28, 14] from Operation: 66-52=14 Current State: 51:[9, 28, 14], Operations: ['66-52=14'] Exploring Operation: 9+28=37, Resulting Numbers: [14, 37] Generated Node #3: [14, 37] from Operation: 9+28=37 Current State: 51:[14, 37], Operations: ['66-52=14', '9+28=37'] Exploring Operation: 14+37=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 95, 17, 42, 54 ]
90
[ "95-17=78", "54-42=12", "78+12=90" ]
Current State: 90:[95, 17, 42, 54], Operations: [] Exploring Operation: 95-17=78, Resulting Numbers: [42, 54, 78] Generated Node #2: [42, 54, 78] from Operation: 95-17=78 Current State: 90:[42, 54, 78], Operations: ['95-17=78'] Exploring Operation: 54-42=12, Resulting Numbers: [78, 12] Generated Node #3: [78, 12] from Operation: 54-42=12 Current State: 90:[78, 12], Operations: ['95-17=78', '54-42=12'] Exploring Operation: 78+12=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 16, 80, 39, 3 ]
51
[ "80-16=64", "39/3=13", "64-13=51" ]
Current State: 51:[16, 80, 39, 3], Operations: [] Exploring Operation: 80-16=64, Resulting Numbers: [39, 3, 64] Generated Node #2: [39, 3, 64] from Operation: 80-16=64 Current State: 51:[39, 3, 64], Operations: ['80-16=64'] Exploring Operation: 39/3=13, Resulting Numbers: [64, 13] Generated Node #3: [64, 13] from Operation: 39/3=13 Current State: 51:[64, 13], Operations: ['80-16=64', '39/3=13'] Exploring Operation: 64-13=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 32, 22, 31, 20 ]
15
[ "22-20=2", "32/2=16", "31-16=15" ]
Current State: 15:[32, 22, 31, 20], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [32, 31, 2] Generated Node #2: [32, 31, 2] from Operation: 22-20=2 Current State: 15:[32, 31, 2], Operations: ['22-20=2'] Exploring Operation: 32/2=16, Resulting Numbers: [31, 16] Generated Node #3: [31, 16] from Operation: 32/2=16 Current State: 15:[31, 16], Operations: ['22-20=2', '32/2=16'] Exploring Operation: 31-16=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 60, 30, 18, 61 ]
56
[ "60+30=90", "90/18=5", "61-5=56" ]
Current State: 56:[60, 30, 18, 61], Operations: [] Exploring Operation: 60+30=90, Resulting Numbers: [18, 61, 90] Generated Node #2: [18, 61, 90] from Operation: 60+30=90 Current State: 56:[18, 61, 90], Operations: ['60+30=90'] Exploring Operation: 90/18=5, Resulting Numbers: [61, 5] Generated Node #3: [61, 5] from Operation: 90/18=5 Current State: 56:[61, 5], Operations: ['60+30=90', '90/18=5'] Exploring Operation: 61-5=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 61, 29, 29, 20 ]
42
[ "61-20=41", "29/29=1", "41+1=42" ]
Current State: 42:[61, 29, 29, 20], Operations: [] Exploring Operation: 61-20=41, Resulting Numbers: [29, 29, 41] Generated Node #2: [29, 29, 41] from Operation: 61-20=41 Current State: 42:[29, 29, 41], Operations: ['61-20=41'] Exploring Operation: 29/29=1, Resulting Numbers: [41, 1] Generated Node #3: [41, 1] from Operation: 29/29=1 Current State: 42:[41, 1], Operations: ['61-20=41', '29/29=1'] Exploring Operation: 41+1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 79, 37, 87, 44 ]
73
[ "79+37=116", "87-44=43", "116-43=73" ]
Current State: 73:[79, 37, 87, 44], Operations: [] Exploring Operation: 79+37=116, Resulting Numbers: [87, 44, 116] Generated Node #2: [87, 44, 116] from Operation: 79+37=116 Current State: 73:[87, 44, 116], Operations: ['79+37=116'] Exploring Operation: 87-44=43, Resulting Numbers: [116, 43] Generated Node #3: [116, 43] from Operation: 87-44=43 Current State: 73:[116, 43], Operations: ['79+37=116', '87-44=43'] Exploring Operation: 116-43=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 20, 8, 32, 56 ]
87
[ "20*32=640", "56+640=696", "696/8=87" ]
Current State: 87:[20, 8, 32, 56], Operations: [] Exploring Operation: 20*32=640, Resulting Numbers: [8, 56, 640] Generated Node #2: [8, 56, 640] from Operation: 20*32=640 Current State: 87:[8, 56, 640], Operations: ['20*32=640'] Exploring Operation: 56+640=696, Resulting Numbers: [8, 696] Generated Node #3: [8, 696] from Operation: 56+640=696 Current State: 87:[8, 696], Operations: ['20*32=640', '56+640=696'] Exploring Operation: 696/8=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 59, 48, 16, 77 ]
46
[ "59+48=107", "77-16=61", "107-61=46" ]
Current State: 46:[59, 48, 16, 77], Operations: [] Exploring Operation: 59+48=107, Resulting Numbers: [16, 77, 107] Generated Node #2: [16, 77, 107] from Operation: 59+48=107 Current State: 46:[16, 77, 107], Operations: ['59+48=107'] Exploring Operation: 77-16=61, Resulting Numbers: [107, 61] Generated Node #3: [107, 61] from Operation: 77-16=61 Current State: 46:[107, 61], Operations: ['59+48=107', '77-16=61'] Exploring Operation: 107-61=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 9, 74, 32, 21 ]
98
[ "74-32=42", "21*42=882", "882/9=98" ]
Current State: 98:[9, 74, 32, 21], Operations: [] Exploring Operation: 74-32=42, Resulting Numbers: [9, 21, 42] Generated Node #2: [9, 21, 42] from Operation: 74-32=42 Current State: 98:[9, 21, 42], Operations: ['74-32=42'] Exploring Operation: 21*42=882, Resulting Numbers: [9, 882] Generated Node #3: [9, 882] from Operation: 21*42=882 Current State: 98:[9, 882], Operations: ['74-32=42', '21*42=882'] Exploring Operation: 882/9=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 14, 28, 46, 28 ]
61
[ "14+46=60", "28/28=1", "60+1=61" ]
Current State: 61:[14, 28, 46, 28], Operations: [] Exploring Operation: 14+46=60, Resulting Numbers: [28, 28, 60] Generated Node #2: [28, 28, 60] from Operation: 14+46=60 Current State: 61:[28, 28, 60], Operations: ['14+46=60'] Exploring Operation: 28/28=1, Resulting Numbers: [60, 1] Generated Node #3: [60, 1] from Operation: 28/28=1 Current State: 61:[60, 1], Operations: ['14+46=60', '28/28=1'] Exploring Operation: 60+1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 3, 30, 12, 26 ]
76
[ "3*30=90", "26-12=14", "90-14=76" ]
Current State: 76:[3, 30, 12, 26], Operations: [] Exploring Operation: 3*30=90, Resulting Numbers: [12, 26, 90] Generated Node #2: [12, 26, 90] from Operation: 3*30=90 Current State: 76:[12, 26, 90], Operations: ['3*30=90'] Exploring Operation: 26-12=14, Resulting Numbers: [90, 14] Generated Node #3: [90, 14] from Operation: 26-12=14 Current State: 76:[90, 14], Operations: ['3*30=90', '26-12=14'] Exploring Operation: 90-14=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 40, 5, 46, 72 ]
37
[ "40/5=8", "72/8=9", "46-9=37" ]
Current State: 37:[40, 5, 46, 72], Operations: [] Exploring Operation: 40/5=8, Resulting Numbers: [46, 72, 8] Generated Node #2: [46, 72, 8] from Operation: 40/5=8 Current State: 37:[46, 72, 8], Operations: ['40/5=8'] Exploring Operation: 72/8=9, Resulting Numbers: [46, 9] Generated Node #3: [46, 9] from Operation: 72/8=9 Current State: 37:[46, 9], Operations: ['40/5=8', '72/8=9'] Exploring Operation: 46-9=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 24, 89, 28, 23 ]
61
[ "24-23=1", "89-28=61", "1*61=61" ]
Current State: 61:[24, 89, 28, 23], Operations: [] Exploring Operation: 24-23=1, Resulting Numbers: [89, 28, 1] Generated Node #2: [89, 28, 1] from Operation: 24-23=1 Current State: 61:[89, 28, 1], Operations: ['24-23=1'] Exploring Operation: 89-28=61, Resulting Numbers: [1, 61] Generated Node #3: [1, 61] from Operation: 89-28=61 Current State: 61:[1, 61], Operations: ['24-23=1', '89-28=61'] Exploring Operation: 1*61=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 40, 41, 43, 16 ]
26
[ "41-40=1", "43-16=27", "27-1=26" ]
Current State: 26:[40, 41, 43, 16], Operations: [] Exploring Operation: 41-40=1, Resulting Numbers: [43, 16, 1] Generated Node #2: [43, 16, 1] from Operation: 41-40=1 Current State: 26:[43, 16, 1], Operations: ['41-40=1'] Exploring Operation: 43-16=27, Resulting Numbers: [1, 27] Generated Node #3: [1, 27] from Operation: 43-16=27 Current State: 26:[1, 27], Operations: ['41-40=1', '43-16=27'] Exploring Operation: 27-1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 69, 90, 85, 54 ]
52
[ "90-69=21", "85-54=31", "21+31=52" ]
Current State: 52:[69, 90, 85, 54], Operations: [] Exploring Operation: 90-69=21, Resulting Numbers: [85, 54, 21] Generated Node #2: [85, 54, 21] from Operation: 90-69=21 Current State: 52:[85, 54, 21], Operations: ['90-69=21'] Exploring Operation: 85-54=31, Resulting Numbers: [21, 31] Generated Node #3: [21, 31] from Operation: 85-54=31 Current State: 52:[21, 31], Operations: ['90-69=21', '85-54=31'] Exploring Operation: 21+31=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 76, 1, 2, 35 ]
37
[ "76+35=111", "1+2=3", "111/3=37" ]
Current State: 37:[76, 1, 2, 35], Operations: [] Exploring Operation: 76+35=111, Resulting Numbers: [1, 2, 111] Generated Node #2: [1, 2, 111] from Operation: 76+35=111 Current State: 37:[1, 2, 111], Operations: ['76+35=111'] Exploring Operation: 1+2=3, Resulting Numbers: [111, 3] Generated Node #3: [111, 3] from Operation: 1+2=3 Current State: 37:[111, 3], Operations: ['76+35=111', '1+2=3'] Exploring Operation: 111/3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 49, 9, 56, 2 ]
65
[ "56-49=7", "9*7=63", "2+63=65" ]
Current State: 65:[49, 9, 56, 2], Operations: [] Exploring Operation: 56-49=7, Resulting Numbers: [9, 2, 7] Generated Node #2: [9, 2, 7] from Operation: 56-49=7 Current State: 65:[9, 2, 7], Operations: ['56-49=7'] Exploring Operation: 9*7=63, Resulting Numbers: [2, 63] Generated Node #3: [2, 63] from Operation: 9*7=63 Current State: 65:[2, 63], Operations: ['56-49=7', '9*7=63'] Exploring Operation: 2+63=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 32, 55, 40, 8 ]
69
[ "55*40=2200", "8+2200=2208", "2208/32=69" ]
Current State: 69:[32, 55, 40, 8], Operations: [] Exploring Operation: 55*40=2200, Resulting Numbers: [32, 8, 2200] Generated Node #2: [32, 8, 2200] from Operation: 55*40=2200 Current State: 69:[32, 8, 2200], Operations: ['55*40=2200'] Exploring Operation: 8+2200=2208, Resulting Numbers: [32, 2208] Generated Node #3: [32, 2208] from Operation: 8+2200=2208 Current State: 69:[32, 2208], Operations: ['55*40=2200', '8+2200=2208'] Exploring Operation: 2208/32=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 63, 35, 46, 9 ]
27
[ "63-35=28", "46+9=55", "55-28=27" ]
Current State: 27:[63, 35, 46, 9], Operations: [] Exploring Operation: 63-35=28, Resulting Numbers: [46, 9, 28] Generated Node #2: [46, 9, 28] from Operation: 63-35=28 Current State: 27:[46, 9, 28], Operations: ['63-35=28'] Exploring Operation: 46+9=55, Resulting Numbers: [28, 55] Generated Node #3: [28, 55] from Operation: 46+9=55 Current State: 27:[28, 55], Operations: ['63-35=28', '46+9=55'] Exploring Operation: 55-28=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 30, 43, 26, 83 ]
70
[ "43-30=13", "83-26=57", "13+57=70" ]
Current State: 70:[30, 43, 26, 83], Operations: [] Exploring Operation: 43-30=13, Resulting Numbers: [26, 83, 13] Generated Node #2: [26, 83, 13] from Operation: 43-30=13 Current State: 70:[26, 83, 13], Operations: ['43-30=13'] Exploring Operation: 83-26=57, Resulting Numbers: [13, 57] Generated Node #3: [13, 57] from Operation: 83-26=57 Current State: 70:[13, 57], Operations: ['43-30=13', '83-26=57'] Exploring Operation: 13+57=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 12, 59, 49, 96 ]
18
[ "96/12=8", "59-49=10", "8+10=18" ]
Current State: 18:[12, 59, 49, 96], Operations: [] Exploring Operation: 96/12=8, Resulting Numbers: [59, 49, 8] Generated Node #2: [59, 49, 8] from Operation: 96/12=8 Current State: 18:[59, 49, 8], Operations: ['96/12=8'] Exploring Operation: 59-49=10, Resulting Numbers: [8, 10] Generated Node #3: [8, 10] from Operation: 59-49=10 Current State: 18:[8, 10], Operations: ['96/12=8', '59-49=10'] Exploring Operation: 8+10=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 92, 42, 2, 87 ]
94
[ "92+42=134", "134-87=47", "2*47=94" ]
Current State: 94:[92, 42, 2, 87], Operations: [] Exploring Operation: 92+42=134, Resulting Numbers: [2, 87, 134] Generated Node #2: [2, 87, 134] from Operation: 92+42=134 Current State: 94:[2, 87, 134], Operations: ['92+42=134'] Exploring Operation: 134-87=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 134-87=47 Current State: 94:[2, 47], Operations: ['92+42=134', '134-87=47'] Exploring Operation: 2*47=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 40, 95, 62, 24 ]
97
[ "40+95=135", "62-24=38", "135-38=97" ]
Current State: 97:[40, 95, 62, 24], Operations: [] Exploring Operation: 40+95=135, Resulting Numbers: [62, 24, 135] Generated Node #2: [62, 24, 135] from Operation: 40+95=135 Current State: 97:[62, 24, 135], Operations: ['40+95=135'] Exploring Operation: 62-24=38, Resulting Numbers: [135, 38] Generated Node #3: [135, 38] from Operation: 62-24=38 Current State: 97:[135, 38], Operations: ['40+95=135', '62-24=38'] Exploring Operation: 135-38=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 25, 46, 86, 50 ]
65
[ "25+46=71", "86+50=136", "136-71=65" ]
Current State: 65:[25, 46, 86, 50], Operations: [] Exploring Operation: 25+46=71, Resulting Numbers: [86, 50, 71] Generated Node #2: [86, 50, 71] from Operation: 25+46=71 Current State: 65:[86, 50, 71], Operations: ['25+46=71'] Exploring Operation: 86+50=136, Resulting Numbers: [71, 136] Generated Node #3: [71, 136] from Operation: 86+50=136 Current State: 65:[71, 136], Operations: ['25+46=71', '86+50=136'] Exploring Operation: 136-71=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 92, 13, 64, 13 ]
92
[ "13-13=0", "64*0=0", "92+0=92" ]
Current State: 92:[92, 13, 64, 13], Operations: [] Exploring Operation: 13-13=0, Resulting Numbers: [92, 64, 0] Generated Node #2: [92, 64, 0] from Operation: 13-13=0 Current State: 92:[92, 64, 0], Operations: ['13-13=0'] Exploring Operation: 64*0=0, Resulting Numbers: [92, 0] Generated Node #3: [92, 0] from Operation: 64*0=0 Current State: 92:[92, 0], Operations: ['13-13=0', '64*0=0'] Exploring Operation: 92+0=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 9, 37, 8, 43 ]
39
[ "43-37=6", "8*6=48", "48-9=39" ]
Current State: 39:[9, 37, 8, 43], Operations: [] Exploring Operation: 43-37=6, Resulting Numbers: [9, 8, 6] Generated Node #2: [9, 8, 6] from Operation: 43-37=6 Current State: 39:[9, 8, 6], Operations: ['43-37=6'] Exploring Operation: 8*6=48, Resulting Numbers: [9, 48] Generated Node #3: [9, 48] from Operation: 8*6=48 Current State: 39:[9, 48], Operations: ['43-37=6', '8*6=48'] Exploring Operation: 48-9=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 22, 66, 25, 89 ]
70
[ "66-22=44", "25+89=114", "114-44=70" ]
Current State: 70:[22, 66, 25, 89], Operations: [] Exploring Operation: 66-22=44, Resulting Numbers: [25, 89, 44] Generated Node #2: [25, 89, 44] from Operation: 66-22=44 Current State: 70:[25, 89, 44], Operations: ['66-22=44'] Exploring Operation: 25+89=114, Resulting Numbers: [44, 114] Generated Node #3: [44, 114] from Operation: 25+89=114 Current State: 70:[44, 114], Operations: ['66-22=44', '25+89=114'] Exploring Operation: 114-44=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 17, 85, 86, 18 ]
73
[ "85/17=5", "86-18=68", "5+68=73" ]
Current State: 73:[17, 85, 86, 18], Operations: [] Exploring Operation: 85/17=5, Resulting Numbers: [86, 18, 5] Generated Node #2: [86, 18, 5] from Operation: 85/17=5 Current State: 73:[86, 18, 5], Operations: ['85/17=5'] Exploring Operation: 86-18=68, Resulting Numbers: [5, 68] Generated Node #3: [5, 68] from Operation: 86-18=68 Current State: 73:[5, 68], Operations: ['85/17=5', '86-18=68'] Exploring Operation: 5+68=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 30, 14, 84, 65 ]
35
[ "30-14=16", "84-65=19", "16+19=35" ]
Current State: 35:[30, 14, 84, 65], Operations: [] Exploring Operation: 30-14=16, Resulting Numbers: [84, 65, 16] Generated Node #2: [84, 65, 16] from Operation: 30-14=16 Current State: 35:[84, 65, 16], Operations: ['30-14=16'] Exploring Operation: 84-65=19, Resulting Numbers: [16, 19] Generated Node #3: [16, 19] from Operation: 84-65=19 Current State: 35:[16, 19], Operations: ['30-14=16', '84-65=19'] Exploring Operation: 16+19=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 39, 3, 20, 40 ]
97
[ "39*3=117", "40-20=20", "117-20=97" ]
Current State: 97:[39, 3, 20, 40], Operations: [] Exploring Operation: 39*3=117, Resulting Numbers: [20, 40, 117] Generated Node #2: [20, 40, 117] from Operation: 39*3=117 Current State: 97:[20, 40, 117], Operations: ['39*3=117'] Exploring Operation: 40-20=20, Resulting Numbers: [117, 20] Generated Node #3: [117, 20] from Operation: 40-20=20 Current State: 97:[117, 20], Operations: ['39*3=117', '40-20=20'] Exploring Operation: 117-20=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 36, 7, 64, 18 ]
69
[ "36/18=2", "7+64=71", "71-2=69" ]
Current State: 69:[36, 7, 64, 18], Operations: [] Exploring Operation: 36/18=2, Resulting Numbers: [7, 64, 2] Generated Node #2: [7, 64, 2] from Operation: 36/18=2 Current State: 69:[7, 64, 2], Operations: ['36/18=2'] Exploring Operation: 7+64=71, Resulting Numbers: [2, 71] Generated Node #3: [2, 71] from Operation: 7+64=71 Current State: 69:[2, 71], Operations: ['36/18=2', '7+64=71'] Exploring Operation: 71-2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 3, 7, 74, 8 ]
56
[ "3+7=10", "74-8=66", "66-10=56" ]
Current State: 56:[3, 7, 74, 8], Operations: [] Exploring Operation: 3+7=10, Resulting Numbers: [74, 8, 10] Generated Node #2: [74, 8, 10] from Operation: 3+7=10 Current State: 56:[74, 8, 10], Operations: ['3+7=10'] Exploring Operation: 74-8=66, Resulting Numbers: [10, 66] Generated Node #3: [10, 66] from Operation: 74-8=66 Current State: 56:[10, 66], Operations: ['3+7=10', '74-8=66'] Exploring Operation: 66-10=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 19, 27, 71, 97 ]
34
[ "27-19=8", "97-71=26", "8+26=34" ]
Current State: 34:[19, 27, 71, 97], Operations: [] Exploring Operation: 27-19=8, Resulting Numbers: [71, 97, 8] Generated Node #2: [71, 97, 8] from Operation: 27-19=8 Current State: 34:[71, 97, 8], Operations: ['27-19=8'] Exploring Operation: 97-71=26, Resulting Numbers: [8, 26] Generated Node #3: [8, 26] from Operation: 97-71=26 Current State: 34:[8, 26], Operations: ['27-19=8', '97-71=26'] Exploring Operation: 8+26=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 55, 68, 57, 25 ]
59
[ "57-55=2", "68/2=34", "25+34=59" ]
Current State: 59:[55, 68, 57, 25], Operations: [] Exploring Operation: 57-55=2, Resulting Numbers: [68, 25, 2] Generated Node #2: [68, 25, 2] from Operation: 57-55=2 Current State: 59:[68, 25, 2], Operations: ['57-55=2'] Exploring Operation: 68/2=34, Resulting Numbers: [25, 34] Generated Node #3: [25, 34] from Operation: 68/2=34 Current State: 59:[25, 34], Operations: ['57-55=2', '68/2=34'] Exploring Operation: 25+34=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 87, 77, 68, 59 ]
90
[ "87-77=10", "68-59=9", "10*9=90" ]
Current State: 90:[87, 77, 68, 59], Operations: [] Exploring Operation: 87-77=10, Resulting Numbers: [68, 59, 10] Generated Node #2: [68, 59, 10] from Operation: 87-77=10 Current State: 90:[68, 59, 10], Operations: ['87-77=10'] Exploring Operation: 68-59=9, Resulting Numbers: [10, 9] Generated Node #3: [10, 9] from Operation: 68-59=9 Current State: 90:[10, 9], Operations: ['87-77=10', '68-59=9'] Exploring Operation: 10*9=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 35, 66, 11, 15 ]
33
[ "66+11=77", "15*77=1155", "1155/35=33" ]
Current State: 33:[35, 66, 11, 15], Operations: [] Exploring Operation: 66+11=77, Resulting Numbers: [35, 15, 77] Generated Node #2: [35, 15, 77] from Operation: 66+11=77 Current State: 33:[35, 15, 77], Operations: ['66+11=77'] Exploring Operation: 15*77=1155, Resulting Numbers: [35, 1155] Generated Node #3: [35, 1155] from Operation: 15*77=1155 Current State: 33:[35, 1155], Operations: ['66+11=77', '15*77=1155'] Exploring Operation: 1155/35=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 20, 37, 25, 92 ]
10
[ "20+37=57", "92-25=67", "67-57=10" ]
Current State: 10:[20, 37, 25, 92], Operations: [] Exploring Operation: 20+37=57, Resulting Numbers: [25, 92, 57] Generated Node #2: [25, 92, 57] from Operation: 20+37=57 Current State: 10:[25, 92, 57], Operations: ['20+37=57'] Exploring Operation: 92-25=67, Resulting Numbers: [57, 67] Generated Node #3: [57, 67] from Operation: 92-25=67 Current State: 10:[57, 67], Operations: ['20+37=57', '92-25=67'] Exploring Operation: 67-57=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 9, 3, 60, 92 ]
99
[ "3+60=63", "63/9=7", "92+7=99" ]
Current State: 99:[9, 3, 60, 92], Operations: [] Exploring Operation: 3+60=63, Resulting Numbers: [9, 92, 63] Generated Node #2: [9, 92, 63] from Operation: 3+60=63 Current State: 99:[9, 92, 63], Operations: ['3+60=63'] Exploring Operation: 63/9=7, Resulting Numbers: [92, 7] Generated Node #3: [92, 7] from Operation: 63/9=7 Current State: 99:[92, 7], Operations: ['3+60=63', '63/9=7'] Exploring Operation: 92+7=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 85, 27, 40, 21 ]
77
[ "85-27=58", "40-21=19", "58+19=77" ]
Current State: 77:[85, 27, 40, 21], Operations: [] Exploring Operation: 85-27=58, Resulting Numbers: [40, 21, 58] Generated Node #2: [40, 21, 58] from Operation: 85-27=58 Current State: 77:[40, 21, 58], Operations: ['85-27=58'] Exploring Operation: 40-21=19, Resulting Numbers: [58, 19] Generated Node #3: [58, 19] from Operation: 40-21=19 Current State: 77:[58, 19], Operations: ['85-27=58', '40-21=19'] Exploring Operation: 58+19=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 86, 72, 71, 71 ]
15
[ "86-72=14", "71/71=1", "14+1=15" ]
Current State: 15:[86, 72, 71, 71], Operations: [] Exploring Operation: 86-72=14, Resulting Numbers: [71, 71, 14] Generated Node #2: [71, 71, 14] from Operation: 86-72=14 Current State: 15:[71, 71, 14], Operations: ['86-72=14'] Exploring Operation: 71/71=1, Resulting Numbers: [14, 1] Generated Node #3: [14, 1] from Operation: 71/71=1 Current State: 15:[14, 1], Operations: ['86-72=14', '71/71=1'] Exploring Operation: 14+1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 77, 2, 17, 33 ]
63
[ "77+2=79", "33-17=16", "79-16=63" ]
Current State: 63:[77, 2, 17, 33], Operations: [] Exploring Operation: 77+2=79, Resulting Numbers: [17, 33, 79] Generated Node #2: [17, 33, 79] from Operation: 77+2=79 Current State: 63:[17, 33, 79], Operations: ['77+2=79'] Exploring Operation: 33-17=16, Resulting Numbers: [79, 16] Generated Node #3: [79, 16] from Operation: 33-17=16 Current State: 63:[79, 16], Operations: ['77+2=79', '33-17=16'] Exploring Operation: 79-16=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 6, 89, 80, 14 ]
11
[ "89-6=83", "80+14=94", "94-83=11" ]
Current State: 11:[6, 89, 80, 14], Operations: [] Exploring Operation: 89-6=83, Resulting Numbers: [80, 14, 83] Generated Node #2: [80, 14, 83] from Operation: 89-6=83 Current State: 11:[80, 14, 83], Operations: ['89-6=83'] Exploring Operation: 80+14=94, Resulting Numbers: [83, 94] Generated Node #3: [83, 94] from Operation: 80+14=94 Current State: 11:[83, 94], Operations: ['89-6=83', '80+14=94'] Exploring Operation: 94-83=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 86, 38, 58, 30 ]
40
[ "86-38=48", "58+30=88", "88-48=40" ]
Current State: 40:[86, 38, 58, 30], Operations: [] Exploring Operation: 86-38=48, Resulting Numbers: [58, 30, 48] Generated Node #2: [58, 30, 48] from Operation: 86-38=48 Current State: 40:[58, 30, 48], Operations: ['86-38=48'] Exploring Operation: 58+30=88, Resulting Numbers: [48, 88] Generated Node #3: [48, 88] from Operation: 58+30=88 Current State: 40:[48, 88], Operations: ['86-38=48', '58+30=88'] Exploring Operation: 88-48=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 54, 45, 2, 51 ]
42
[ "51-45=6", "2*6=12", "54-12=42" ]
Current State: 42:[54, 45, 2, 51], Operations: [] Exploring Operation: 51-45=6, Resulting Numbers: [54, 2, 6] Generated Node #2: [54, 2, 6] from Operation: 51-45=6 Current State: 42:[54, 2, 6], Operations: ['51-45=6'] Exploring Operation: 2*6=12, Resulting Numbers: [54, 12] Generated Node #3: [54, 12] from Operation: 2*6=12 Current State: 42:[54, 12], Operations: ['51-45=6', '2*6=12'] Exploring Operation: 54-12=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 63, 97, 10, 66 ]
22
[ "97-63=34", "66-10=56", "56-34=22" ]
Current State: 22:[63, 97, 10, 66], Operations: [] Exploring Operation: 97-63=34, Resulting Numbers: [10, 66, 34] Generated Node #2: [10, 66, 34] from Operation: 97-63=34 Current State: 22:[10, 66, 34], Operations: ['97-63=34'] Exploring Operation: 66-10=56, Resulting Numbers: [34, 56] Generated Node #3: [34, 56] from Operation: 66-10=56 Current State: 22:[34, 56], Operations: ['97-63=34', '66-10=56'] Exploring Operation: 56-34=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 37, 20, 23, 42 ]
89
[ "23-20=3", "42*3=126", "126-37=89" ]
Current State: 89:[37, 20, 23, 42], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [37, 42, 3] Generated Node #2: [37, 42, 3] from Operation: 23-20=3 Current State: 89:[37, 42, 3], Operations: ['23-20=3'] Exploring Operation: 42*3=126, Resulting Numbers: [37, 126] Generated Node #3: [37, 126] from Operation: 42*3=126 Current State: 89:[37, 126], Operations: ['23-20=3', '42*3=126'] Exploring Operation: 126-37=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 83, 90, 57, 91 ]
25
[ "83+90=173", "57+91=148", "173-148=25" ]
Current State: 25:[83, 90, 57, 91], Operations: [] Exploring Operation: 83+90=173, Resulting Numbers: [57, 91, 173] Generated Node #2: [57, 91, 173] from Operation: 83+90=173 Current State: 25:[57, 91, 173], Operations: ['83+90=173'] Exploring Operation: 57+91=148, Resulting Numbers: [173, 148] Generated Node #3: [173, 148] from Operation: 57+91=148 Current State: 25:[173, 148], Operations: ['83+90=173', '57+91=148'] Exploring Operation: 173-148=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 6, 7, 14, 5 ]
20
[ "7-6=1", "14+5=19", "1+19=20" ]
Current State: 20:[6, 7, 14, 5], Operations: [] Exploring Operation: 7-6=1, Resulting Numbers: [14, 5, 1] Generated Node #2: [14, 5, 1] from Operation: 7-6=1 Current State: 20:[14, 5, 1], Operations: ['7-6=1'] Exploring Operation: 14+5=19, Resulting Numbers: [1, 19] Generated Node #3: [1, 19] from Operation: 14+5=19 Current State: 20:[1, 19], Operations: ['7-6=1', '14+5=19'] Exploring Operation: 1+19=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 72, 74, 10, 48 ]
56
[ "74-72=2", "10+48=58", "58-2=56" ]
Current State: 56:[72, 74, 10, 48], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [10, 48, 2] Generated Node #2: [10, 48, 2] from Operation: 74-72=2 Current State: 56:[10, 48, 2], Operations: ['74-72=2'] Exploring Operation: 10+48=58, Resulting Numbers: [2, 58] Generated Node #3: [2, 58] from Operation: 10+48=58 Current State: 56:[2, 58], Operations: ['74-72=2', '10+48=58'] Exploring Operation: 58-2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 4, 5, 72, 8 ]
60
[ "4*5=20", "72+8=80", "80-20=60" ]
Current State: 60:[4, 5, 72, 8], Operations: [] Exploring Operation: 4*5=20, Resulting Numbers: [72, 8, 20] Generated Node #2: [72, 8, 20] from Operation: 4*5=20 Current State: 60:[72, 8, 20], Operations: ['4*5=20'] Exploring Operation: 72+8=80, Resulting Numbers: [20, 80] Generated Node #3: [20, 80] from Operation: 72+8=80 Current State: 60:[20, 80], Operations: ['4*5=20', '72+8=80'] Exploring Operation: 80-20=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 2, 11, 52, 52 ]
15
[ "52/2=26", "52-11=41", "41-26=15" ]
Current State: 15:[2, 11, 52, 52], Operations: [] Exploring Operation: 52/2=26, Resulting Numbers: [11, 26] Generated Node #2: [11, 26] from Operation: 52/2=26 Current State: 15:[11, 26], Operations: ['52/2=26'] Exploring Operation: 52-11=41, Resulting Numbers: [26, 41] Generated Node #3: [26, 41] from Operation: 52-11=41 Current State: 15:[26, 41], Operations: ['52/2=26', '52-11=41'] Exploring Operation: 41-26=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 86, 49, 42, 25 ]
68
[ "86+49=135", "42+25=67", "135-67=68" ]
Current State: 68:[86, 49, 42, 25], Operations: [] Exploring Operation: 86+49=135, Resulting Numbers: [42, 25, 135] Generated Node #2: [42, 25, 135] from Operation: 86+49=135 Current State: 68:[42, 25, 135], Operations: ['86+49=135'] Exploring Operation: 42+25=67, Resulting Numbers: [135, 67] Generated Node #3: [135, 67] from Operation: 42+25=67 Current State: 68:[135, 67], Operations: ['86+49=135', '42+25=67'] Exploring Operation: 135-67=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 1, 83, 78, 85 ]
38
[ "85-83=2", "78/2=39", "39-1=38" ]
Current State: 38:[1, 83, 78, 85], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [1, 78, 2] Generated Node #2: [1, 78, 2] from Operation: 85-83=2 Current State: 38:[1, 78, 2], Operations: ['85-83=2'] Exploring Operation: 78/2=39, Resulting Numbers: [1, 39] Generated Node #3: [1, 39] from Operation: 78/2=39 Current State: 38:[1, 39], Operations: ['85-83=2', '78/2=39'] Exploring Operation: 39-1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 11, 41, 15, 27 ]
25
[ "41-11=30", "30/15=2", "27-2=25" ]
Current State: 25:[11, 41, 15, 27], Operations: [] Exploring Operation: 41-11=30, Resulting Numbers: [15, 27, 30] Generated Node #2: [15, 27, 30] from Operation: 41-11=30 Current State: 25:[15, 27, 30], Operations: ['41-11=30'] Exploring Operation: 30/15=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 30/15=2 Current State: 25:[27, 2], Operations: ['41-11=30', '30/15=2'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 40, 64, 30, 36 ]
56
[ "40-36=4", "30*4=120", "120-64=56" ]
Current State: 56:[40, 64, 30, 36], Operations: [] Exploring Operation: 40-36=4, Resulting Numbers: [64, 30, 4] Generated Node #2: [64, 30, 4] from Operation: 40-36=4 Current State: 56:[64, 30, 4], Operations: ['40-36=4'] Exploring Operation: 30*4=120, Resulting Numbers: [64, 120] Generated Node #3: [64, 120] from Operation: 30*4=120 Current State: 56:[64, 120], Operations: ['40-36=4', '30*4=120'] Exploring Operation: 120-64=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 84, 86, 82, 22 ]
93
[ "86-84=2", "22/2=11", "82+11=93" ]
Current State: 93:[84, 86, 82, 22], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [82, 22, 2] Generated Node #2: [82, 22, 2] from Operation: 86-84=2 Current State: 93:[82, 22, 2], Operations: ['86-84=2'] Exploring Operation: 22/2=11, Resulting Numbers: [82, 11] Generated Node #3: [82, 11] from Operation: 22/2=11 Current State: 93:[82, 11], Operations: ['86-84=2', '22/2=11'] Exploring Operation: 82+11=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 69, 21, 52, 42 ]
43
[ "21*52=1092", "1092/42=26", "69-26=43" ]
Current State: 43:[69, 21, 52, 42], Operations: [] Exploring Operation: 21*52=1092, Resulting Numbers: [69, 42, 1092] Generated Node #2: [69, 42, 1092] from Operation: 21*52=1092 Current State: 43:[69, 42, 1092], Operations: ['21*52=1092'] Exploring Operation: 1092/42=26, Resulting Numbers: [69, 26] Generated Node #3: [69, 26] from Operation: 1092/42=26 Current State: 43:[69, 26], Operations: ['21*52=1092', '1092/42=26'] Exploring Operation: 69-26=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 79, 84, 42, 28 ]
49
[ "79-28=51", "84/42=2", "51-2=49" ]
Current State: 49:[79, 84, 42, 28], Operations: [] Exploring Operation: 79-28=51, Resulting Numbers: [84, 42, 51] Generated Node #2: [84, 42, 51] from Operation: 79-28=51 Current State: 49:[84, 42, 51], Operations: ['79-28=51'] Exploring Operation: 84/42=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 84/42=2 Current State: 49:[51, 2], Operations: ['79-28=51', '84/42=2'] Exploring Operation: 51-2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 67, 31, 30, 31 ]
36
[ "67-31=36", "31-30=1", "36*1=36" ]
Current State: 36:[67, 31, 30, 31], Operations: [] Exploring Operation: 67-31=36, Resulting Numbers: [30, 36] Generated Node #2: [30, 36] from Operation: 67-31=36 Current State: 36:[30, 36], Operations: ['67-31=36'] Exploring Operation: 31-30=1, Resulting Numbers: [36, 1] Generated Node #3: [36, 1] from Operation: 31-30=1 Current State: 36:[36, 1], Operations: ['67-31=36', '31-30=1'] Exploring Operation: 36*1=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 36, 82, 41, 22 ]
12
[ "41-36=5", "82-22=60", "60/5=12" ]
Current State: 12:[36, 82, 41, 22], Operations: [] Exploring Operation: 41-36=5, Resulting Numbers: [82, 22, 5] Generated Node #2: [82, 22, 5] from Operation: 41-36=5 Current State: 12:[82, 22, 5], Operations: ['41-36=5'] Exploring Operation: 82-22=60, Resulting Numbers: [5, 60] Generated Node #3: [5, 60] from Operation: 82-22=60 Current State: 12:[5, 60], Operations: ['41-36=5', '82-22=60'] Exploring Operation: 60/5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 77, 14, 24, 6 ]
73
[ "77+14=91", "24-6=18", "91-18=73" ]
Current State: 73:[77, 14, 24, 6], Operations: [] Exploring Operation: 77+14=91, Resulting Numbers: [24, 6, 91] Generated Node #2: [24, 6, 91] from Operation: 77+14=91 Current State: 73:[24, 6, 91], Operations: ['77+14=91'] Exploring Operation: 24-6=18, Resulting Numbers: [91, 18] Generated Node #3: [91, 18] from Operation: 24-6=18 Current State: 73:[91, 18], Operations: ['77+14=91', '24-6=18'] Exploring Operation: 91-18=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 67, 10, 6, 3 ]
55
[ "67-10=57", "6/3=2", "57-2=55" ]
Current State: 55:[67, 10, 6, 3], Operations: [] Exploring Operation: 67-10=57, Resulting Numbers: [6, 3, 57] Generated Node #2: [6, 3, 57] from Operation: 67-10=57 Current State: 55:[6, 3, 57], Operations: ['67-10=57'] Exploring Operation: 6/3=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 6/3=2 Current State: 55:[57, 2], Operations: ['67-10=57', '6/3=2'] Exploring Operation: 57-2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 68, 17, 83, 13 ]
100
[ "68/17=4", "83+13=96", "4+96=100" ]
Current State: 100:[68, 17, 83, 13], Operations: [] Exploring Operation: 68/17=4, Resulting Numbers: [83, 13, 4] Generated Node #2: [83, 13, 4] from Operation: 68/17=4 Current State: 100:[83, 13, 4], Operations: ['68/17=4'] Exploring Operation: 83+13=96, Resulting Numbers: [4, 96] Generated Node #3: [4, 96] from Operation: 83+13=96 Current State: 100:[4, 96], Operations: ['68/17=4', '83+13=96'] Exploring Operation: 4+96=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 83, 60, 93, 57 ]
59
[ "83-60=23", "93-57=36", "23+36=59" ]
Current State: 59:[83, 60, 93, 57], Operations: [] Exploring Operation: 83-60=23, Resulting Numbers: [93, 57, 23] Generated Node #2: [93, 57, 23] from Operation: 83-60=23 Current State: 59:[93, 57, 23], Operations: ['83-60=23'] Exploring Operation: 93-57=36, Resulting Numbers: [23, 36] Generated Node #3: [23, 36] from Operation: 93-57=36 Current State: 59:[23, 36], Operations: ['83-60=23', '93-57=36'] Exploring Operation: 23+36=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 12, 57, 63, 4 ]
42
[ "12*4=48", "63-57=6", "48-6=42" ]
Current State: 42:[12, 57, 63, 4], Operations: [] Exploring Operation: 12*4=48, Resulting Numbers: [57, 63, 48] Generated Node #2: [57, 63, 48] from Operation: 12*4=48 Current State: 42:[57, 63, 48], Operations: ['12*4=48'] Exploring Operation: 63-57=6, Resulting Numbers: [48, 6] Generated Node #3: [48, 6] from Operation: 63-57=6 Current State: 42:[48, 6], Operations: ['12*4=48', '63-57=6'] Exploring Operation: 48-6=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 30, 33, 24, 6 ]
84
[ "33-24=9", "6*9=54", "30+54=84" ]
Current State: 84:[30, 33, 24, 6], Operations: [] Exploring Operation: 33-24=9, Resulting Numbers: [30, 6, 9] Generated Node #2: [30, 6, 9] from Operation: 33-24=9 Current State: 84:[30, 6, 9], Operations: ['33-24=9'] Exploring Operation: 6*9=54, Resulting Numbers: [30, 54] Generated Node #3: [30, 54] from Operation: 6*9=54 Current State: 84:[30, 54], Operations: ['33-24=9', '6*9=54'] Exploring Operation: 30+54=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 57, 63, 76, 87 ]
53
[ "76*87=6612", "6612/57=116", "116-63=53" ]
Current State: 53:[57, 63, 76, 87], Operations: [] Exploring Operation: 76*87=6612, Resulting Numbers: [57, 63, 6612] Generated Node #2: [57, 63, 6612] from Operation: 76*87=6612 Current State: 53:[57, 63, 6612], Operations: ['76*87=6612'] Exploring Operation: 6612/57=116, Resulting Numbers: [63, 116] Generated Node #3: [63, 116] from Operation: 6612/57=116 Current State: 53:[63, 116], Operations: ['76*87=6612', '6612/57=116'] Exploring Operation: 116-63=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 77, 77, 2, 88 ]
55
[ "88-77=11", "2*11=22", "77-22=55" ]
Current State: 55:[77, 77, 2, 88], Operations: [] Exploring Operation: 88-77=11, Resulting Numbers: [2, 11] Generated Node #2: [2, 11] from Operation: 88-77=11 Current State: 55:[2, 11], Operations: ['88-77=11'] Exploring Operation: 2*11=22, Resulting Numbers: [22] 22,55 equal: Goal Reached Exploring Operation: 77-22=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 26, 62, 49, 31 ]
33
[ "62-49=13", "26/13=2", "31+2=33" ]
Current State: 33:[26, 62, 49, 31], Operations: [] Exploring Operation: 62-49=13, Resulting Numbers: [26, 31, 13] Generated Node #2: [26, 31, 13] from Operation: 62-49=13 Current State: 33:[26, 31, 13], Operations: ['62-49=13'] Exploring Operation: 26/13=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 26/13=2 Current State: 33:[31, 2], Operations: ['62-49=13', '26/13=2'] Exploring Operation: 31+2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 5, 53, 42, 31 ]
59
[ "53-5=48", "42-31=11", "48+11=59" ]
Current State: 59:[5, 53, 42, 31], Operations: [] Exploring Operation: 53-5=48, Resulting Numbers: [42, 31, 48] Generated Node #2: [42, 31, 48] from Operation: 53-5=48 Current State: 59:[42, 31, 48], Operations: ['53-5=48'] Exploring Operation: 42-31=11, Resulting Numbers: [48, 11] Generated Node #3: [48, 11] from Operation: 42-31=11 Current State: 59:[48, 11], Operations: ['53-5=48', '42-31=11'] Exploring Operation: 48+11=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 58, 21, 3, 96 ]
15
[ "58-21=37", "3*37=111", "111-96=15" ]
Current State: 15:[58, 21, 3, 96], Operations: [] Exploring Operation: 58-21=37, Resulting Numbers: [3, 96, 37] Generated Node #2: [3, 96, 37] from Operation: 58-21=37 Current State: 15:[3, 96, 37], Operations: ['58-21=37'] Exploring Operation: 3*37=111, Resulting Numbers: [96, 111] Generated Node #3: [96, 111] from Operation: 3*37=111 Current State: 15:[96, 111], Operations: ['58-21=37', '3*37=111'] Exploring Operation: 111-96=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 1, 44, 34, 40 ]
30
[ "1*44=44", "34+40=74", "74-44=30" ]
Current State: 30:[1, 44, 34, 40], Operations: [] Exploring Operation: 1*44=44, Resulting Numbers: [34, 40, 44] Generated Node #2: [34, 40, 44] from Operation: 1*44=44 Current State: 30:[34, 40, 44], Operations: ['1*44=44'] Exploring Operation: 34+40=74, Resulting Numbers: [44, 74] Generated Node #3: [44, 74] from Operation: 34+40=74 Current State: 30:[44, 74], Operations: ['1*44=44', '34+40=74'] Exploring Operation: 74-44=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 80, 5, 71, 70 ]
69
[ "80-70=10", "10/5=2", "71-2=69" ]
Current State: 69:[80, 5, 71, 70], Operations: [] Exploring Operation: 80-70=10, Resulting Numbers: [5, 71, 10] Generated Node #2: [5, 71, 10] from Operation: 80-70=10 Current State: 69:[5, 71, 10], Operations: ['80-70=10'] Exploring Operation: 10/5=2, Resulting Numbers: [71, 2] Generated Node #3: [71, 2] from Operation: 10/5=2 Current State: 69:[71, 2], Operations: ['80-70=10', '10/5=2'] Exploring Operation: 71-2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 99, 6, 15, 68 ]
82
[ "99-15=84", "84/6=14", "68+14=82" ]
Current State: 82:[99, 6, 15, 68], Operations: [] Exploring Operation: 99-15=84, Resulting Numbers: [6, 68, 84] Generated Node #2: [6, 68, 84] from Operation: 99-15=84 Current State: 82:[6, 68, 84], Operations: ['99-15=84'] Exploring Operation: 84/6=14, Resulting Numbers: [68, 14] Generated Node #3: [68, 14] from Operation: 84/6=14 Current State: 82:[68, 14], Operations: ['99-15=84', '84/6=14'] Exploring Operation: 68+14=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4