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
[ 2, 23, 80, 22 ]
68
[ "22/2=11", "80-23=57", "11+57=68" ]
Current State: 68:[2, 23, 80, 22], Operations: [] Exploring Operation: 22/2=11, Resulting Numbers: [23, 80, 11] Generated Node #2: [23, 80, 11] from Operation: 22/2=11 Current State: 68:[23, 80, 11], Operations: ['22/2=11'] Exploring Operation: 80-23=57, Resulting Numbers: [11, 57] Generated Node #3: [11, 57] from Operation: 80-23=57 Current State: 68:[11, 57], Operations: ['22/2=11', '80-23=57'] Exploring Operation: 11+57=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 90, 70, 36, 29 ]
90
[ "90*29=2610", "70*36=2520", "2610-2520=90" ]
Current State: 90:[90, 70, 36, 29], Operations: [] Exploring Operation: 90*29=2610, Resulting Numbers: [70, 36, 2610] Generated Node #2: [70, 36, 2610] from Operation: 90*29=2610 Current State: 90:[70, 36, 2610], Operations: ['90*29=2610'] Exploring Operation: 70*36=2520, Resulting Numbers: [2610, 2520] Generated Node #3: [2610, 2520] from Operation: 70*36=2520 Current State: 90:[2610, 2520], Operations: ['90*29=2610', '70*36=2520'] Exploring Operation: 2610-2520=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 60, 51, 2, 70 ]
44
[ "60-51=9", "70/2=35", "9+35=44" ]
Current State: 44:[60, 51, 2, 70], Operations: [] Exploring Operation: 60-51=9, Resulting Numbers: [2, 70, 9] Generated Node #2: [2, 70, 9] from Operation: 60-51=9 Current State: 44:[2, 70, 9], Operations: ['60-51=9'] Exploring Operation: 70/2=35, Resulting Numbers: [9, 35] Generated Node #3: [9, 35] from Operation: 70/2=35 Current State: 44:[9, 35], Operations: ['60-51=9', '70/2=35'] Exploring Operation: 9+35=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 94, 71, 48, 57 ]
55
[ "94+48=142", "142/71=2", "57-2=55" ]
Current State: 55:[94, 71, 48, 57], Operations: [] Exploring Operation: 94+48=142, Resulting Numbers: [71, 57, 142] Generated Node #2: [71, 57, 142] from Operation: 94+48=142 Current State: 55:[71, 57, 142], Operations: ['94+48=142'] Exploring Operation: 142/71=2, Resulting Numbers: [57, 2] Generated Node #3: [57, 2] from Operation: 142/71=2 Current State: 55:[57, 2], Operations: ['94+48=142', '142/71=2'] Exploring Operation: 57-2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 64, 40, 47, 85 ]
89
[ "64*85=5440", "5440/40=136", "136-47=89" ]
Current State: 89:[64, 40, 47, 85], Operations: [] Exploring Operation: 64*85=5440, Resulting Numbers: [40, 47, 5440] Generated Node #2: [40, 47, 5440] from Operation: 64*85=5440 Current State: 89:[40, 47, 5440], Operations: ['64*85=5440'] Exploring Operation: 5440/40=136, Resulting Numbers: [47, 136] Generated Node #3: [47, 136] from Operation: 5440/40=136 Current State: 89:[47, 136], Operations: ['64*85=5440', '5440/40=136'] Exploring Operation: 136-47=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 75, 39, 7, 58 ]
15
[ "75-39=36", "58-7=51", "51-36=15" ]
Current State: 15:[75, 39, 7, 58], Operations: [] Exploring Operation: 75-39=36, Resulting Numbers: [7, 58, 36] Generated Node #2: [7, 58, 36] from Operation: 75-39=36 Current State: 15:[7, 58, 36], Operations: ['75-39=36'] Exploring Operation: 58-7=51, Resulting Numbers: [36, 51] Generated Node #3: [36, 51] from Operation: 58-7=51 Current State: 15:[36, 51], Operations: ['75-39=36', '58-7=51'] Exploring Operation: 51-36=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 47, 6, 92, 84 ]
59
[ "92-47=45", "84/6=14", "45+14=59" ]
Current State: 59:[47, 6, 92, 84], Operations: [] Exploring Operation: 92-47=45, Resulting Numbers: [6, 84, 45] Generated Node #2: [6, 84, 45] from Operation: 92-47=45 Current State: 59:[6, 84, 45], Operations: ['92-47=45'] Exploring Operation: 84/6=14, Resulting Numbers: [45, 14] Generated Node #3: [45, 14] from Operation: 84/6=14 Current State: 59:[45, 14], Operations: ['92-47=45', '84/6=14'] Exploring Operation: 45+14=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 46, 59, 98, 36 ]
75
[ "59-46=13", "98-36=62", "13+62=75" ]
Current State: 75:[46, 59, 98, 36], Operations: [] Exploring Operation: 59-46=13, Resulting Numbers: [98, 36, 13] Generated Node #2: [98, 36, 13] from Operation: 59-46=13 Current State: 75:[98, 36, 13], Operations: ['59-46=13'] Exploring Operation: 98-36=62, Resulting Numbers: [13, 62] Generated Node #3: [13, 62] from Operation: 98-36=62 Current State: 75:[13, 62], Operations: ['59-46=13', '98-36=62'] Exploring Operation: 13+62=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 7, 5, 7, 13 ]
89
[ "7-5=2", "7*13=91", "91-2=89" ]
Current State: 89:[7, 5, 7, 13], Operations: [] Exploring Operation: 7-5=2, Resulting Numbers: [13, 2] Generated Node #2: [13, 2] from Operation: 7-5=2 Current State: 89:[13, 2], Operations: ['7-5=2'] Exploring Operation: 7*13=91, Resulting Numbers: [2, 91] Generated Node #3: [2, 91] from Operation: 7*13=91 Current State: 89:[2, 91], Operations: ['7-5=2', '7*13=91'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 62, 70, 7, 48 ]
91
[ "62+70=132", "48-7=41", "132-41=91" ]
Current State: 91:[62, 70, 7, 48], Operations: [] Exploring Operation: 62+70=132, Resulting Numbers: [7, 48, 132] Generated Node #2: [7, 48, 132] from Operation: 62+70=132 Current State: 91:[7, 48, 132], Operations: ['62+70=132'] Exploring Operation: 48-7=41, Resulting Numbers: [132, 41] Generated Node #3: [132, 41] from Operation: 48-7=41 Current State: 91:[132, 41], Operations: ['62+70=132', '48-7=41'] Exploring Operation: 132-41=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 55, 17, 3, 2 ]
38
[ "55-17=38", "3-2=1", "38*1=38" ]
Current State: 38:[55, 17, 3, 2], Operations: [] Exploring Operation: 55-17=38, Resulting Numbers: [3, 2, 38] Generated Node #2: [3, 2, 38] from Operation: 55-17=38 Current State: 38:[3, 2, 38], Operations: ['55-17=38'] Exploring Operation: 3-2=1, Resulting Numbers: [38, 1] Generated Node #3: [38, 1] from Operation: 3-2=1 Current State: 38:[38, 1], Operations: ['55-17=38', '3-2=1'] Exploring Operation: 38*1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 60, 20, 87, 46 ]
53
[ "60+20=80", "87+46=133", "133-80=53" ]
Current State: 53:[60, 20, 87, 46], Operations: [] Exploring Operation: 60+20=80, Resulting Numbers: [87, 46, 80] Generated Node #2: [87, 46, 80] from Operation: 60+20=80 Current State: 53:[87, 46, 80], Operations: ['60+20=80'] Exploring Operation: 87+46=133, Resulting Numbers: [80, 133] Generated Node #3: [80, 133] from Operation: 87+46=133 Current State: 53:[80, 133], Operations: ['60+20=80', '87+46=133'] Exploring Operation: 133-80=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 57, 66, 11, 20 ]
59
[ "57+20=77", "77/11=7", "66-7=59" ]
Current State: 59:[57, 66, 11, 20], Operations: [] Exploring Operation: 57+20=77, Resulting Numbers: [66, 11, 77] Generated Node #2: [66, 11, 77] from Operation: 57+20=77 Current State: 59:[66, 11, 77], Operations: ['57+20=77'] Exploring Operation: 77/11=7, Resulting Numbers: [66, 7] Generated Node #3: [66, 7] from Operation: 77/11=7 Current State: 59:[66, 7], Operations: ['57+20=77', '77/11=7'] Exploring Operation: 66-7=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 41, 43, 4, 3 ]
92
[ "41+4=45", "3*45=135", "135-43=92" ]
Current State: 92:[41, 43, 4, 3], Operations: [] Exploring Operation: 41+4=45, Resulting Numbers: [43, 3, 45] Generated Node #2: [43, 3, 45] from Operation: 41+4=45 Current State: 92:[43, 3, 45], Operations: ['41+4=45'] Exploring Operation: 3*45=135, Resulting Numbers: [43, 135] Generated Node #3: [43, 135] from Operation: 3*45=135 Current State: 92:[43, 135], Operations: ['41+4=45', '3*45=135'] Exploring Operation: 135-43=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 82, 91, 75, 5 ]
30
[ "91-82=9", "5*9=45", "75-45=30" ]
Current State: 30:[82, 91, 75, 5], Operations: [] Exploring Operation: 91-82=9, Resulting Numbers: [75, 5, 9] Generated Node #2: [75, 5, 9] from Operation: 91-82=9 Current State: 30:[75, 5, 9], Operations: ['91-82=9'] Exploring Operation: 5*9=45, Resulting Numbers: [75, 45] Generated Node #3: [75, 45] from Operation: 5*9=45 Current State: 30:[75, 45], Operations: ['91-82=9', '5*9=45'] Exploring Operation: 75-45=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 46, 85, 2, 61 ]
11
[ "85-46=39", "61-39=22", "22/2=11" ]
Current State: 11:[46, 85, 2, 61], Operations: [] Exploring Operation: 85-46=39, Resulting Numbers: [2, 61, 39] Generated Node #2: [2, 61, 39] from Operation: 85-46=39 Current State: 11:[2, 61, 39], Operations: ['85-46=39'] Exploring Operation: 61-39=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 61-39=22 Current State: 11:[2, 22], Operations: ['85-46=39', '61-39=22'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 28, 32, 35, 2 ]
34
[ "35-32=3", "2*3=6", "28+6=34" ]
Current State: 34:[28, 32, 35, 2], Operations: [] Exploring Operation: 35-32=3, Resulting Numbers: [28, 2, 3] Generated Node #2: [28, 2, 3] from Operation: 35-32=3 Current State: 34:[28, 2, 3], Operations: ['35-32=3'] Exploring Operation: 2*3=6, Resulting Numbers: [28, 6] Generated Node #3: [28, 6] from Operation: 2*3=6 Current State: 34:[28, 6], Operations: ['35-32=3', '2*3=6'] Exploring Operation: 28+6=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 7, 25, 81, 2 ]
76
[ "7-2=5", "25/5=5", "81-5=76" ]
Current State: 76:[7, 25, 81, 2], Operations: [] Exploring Operation: 7-2=5, Resulting Numbers: [25, 81, 5] Generated Node #2: [25, 81, 5] from Operation: 7-2=5 Current State: 76:[25, 81, 5], Operations: ['7-2=5'] Exploring Operation: 25/5=5, Resulting Numbers: [81, 5] Generated Node #3: [81, 5] from Operation: 25/5=5 Current State: 76:[81, 5], Operations: ['7-2=5', '25/5=5'] Exploring Operation: 81-5=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 2, 80, 74, 42 ]
16
[ "74/2=37", "42-37=5", "80/5=16" ]
Current State: 16:[2, 80, 74, 42], Operations: [] Exploring Operation: 74/2=37, Resulting Numbers: [80, 42, 37] Generated Node #2: [80, 42, 37] from Operation: 74/2=37 Current State: 16:[80, 42, 37], Operations: ['74/2=37'] Exploring Operation: 42-37=5, Resulting Numbers: [80, 5] Generated Node #3: [80, 5] from Operation: 42-37=5 Current State: 16:[80, 5], Operations: ['74/2=37', '42-37=5'] Exploring Operation: 80/5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 4, 29, 61, 83 ]
94
[ "4*29=116", "83-61=22", "116-22=94" ]
Current State: 94:[4, 29, 61, 83], Operations: [] Exploring Operation: 4*29=116, Resulting Numbers: [61, 83, 116] Generated Node #2: [61, 83, 116] from Operation: 4*29=116 Current State: 94:[61, 83, 116], Operations: ['4*29=116'] Exploring Operation: 83-61=22, Resulting Numbers: [116, 22] Generated Node #3: [116, 22] from Operation: 83-61=22 Current State: 94:[116, 22], Operations: ['4*29=116', '83-61=22'] Exploring Operation: 116-22=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 21, 42, 44, 42 ]
61
[ "21+42=63", "44-42=2", "63-2=61" ]
Current State: 61:[21, 42, 44, 42], Operations: [] Exploring Operation: 21+42=63, Resulting Numbers: [44, 63] Generated Node #2: [44, 63] from Operation: 21+42=63 Current State: 61:[44, 63], Operations: ['21+42=63'] Exploring Operation: 44-42=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 44-42=2 Current State: 61:[63, 2], Operations: ['21+42=63', '44-42=2'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 54, 41, 6, 87 ]
37
[ "54/6=9", "87-41=46", "46-9=37" ]
Current State: 37:[54, 41, 6, 87], Operations: [] Exploring Operation: 54/6=9, Resulting Numbers: [41, 87, 9] Generated Node #2: [41, 87, 9] from Operation: 54/6=9 Current State: 37:[41, 87, 9], Operations: ['54/6=9'] Exploring Operation: 87-41=46, Resulting Numbers: [9, 46] Generated Node #3: [9, 46] from Operation: 87-41=46 Current State: 37:[9, 46], Operations: ['54/6=9', '87-41=46'] Exploring Operation: 46-9=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 14, 76, 92, 13 ]
26
[ "14+76=90", "92-90=2", "13*2=26" ]
Current State: 26:[14, 76, 92, 13], Operations: [] Exploring Operation: 14+76=90, Resulting Numbers: [92, 13, 90] Generated Node #2: [92, 13, 90] from Operation: 14+76=90 Current State: 26:[92, 13, 90], Operations: ['14+76=90'] Exploring Operation: 92-90=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 92-90=2 Current State: 26:[13, 2], Operations: ['14+76=90', '92-90=2'] Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 62, 99, 66, 27 ]
18
[ "66-62=4", "99-27=72", "72/4=18" ]
Current State: 18:[62, 99, 66, 27], Operations: [] Exploring Operation: 66-62=4, Resulting Numbers: [99, 27, 4] Generated Node #2: [99, 27, 4] from Operation: 66-62=4 Current State: 18:[99, 27, 4], Operations: ['66-62=4'] Exploring Operation: 99-27=72, Resulting Numbers: [4, 72] Generated Node #3: [4, 72] from Operation: 99-27=72 Current State: 18:[4, 72], Operations: ['66-62=4', '99-27=72'] Exploring Operation: 72/4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 41, 93, 26, 95 ]
30
[ "41-26=15", "95-93=2", "15*2=30" ]
Current State: 30:[41, 93, 26, 95], Operations: [] Exploring Operation: 41-26=15, Resulting Numbers: [93, 95, 15] Generated Node #2: [93, 95, 15] from Operation: 41-26=15 Current State: 30:[93, 95, 15], Operations: ['41-26=15'] Exploring Operation: 95-93=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 95-93=2 Current State: 30:[15, 2], Operations: ['41-26=15', '95-93=2'] Exploring Operation: 15*2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 82, 46, 21, 95 ]
38
[ "82-46=36", "95-21=74", "74-36=38" ]
Current State: 38:[82, 46, 21, 95], Operations: [] Exploring Operation: 82-46=36, Resulting Numbers: [21, 95, 36] Generated Node #2: [21, 95, 36] from Operation: 82-46=36 Current State: 38:[21, 95, 36], Operations: ['82-46=36'] Exploring Operation: 95-21=74, Resulting Numbers: [36, 74] Generated Node #3: [36, 74] from Operation: 95-21=74 Current State: 38:[36, 74], Operations: ['82-46=36', '95-21=74'] Exploring Operation: 74-36=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 29, 86, 17, 23 ]
75
[ "29+86=115", "17+23=40", "115-40=75" ]
Current State: 75:[29, 86, 17, 23], Operations: [] Exploring Operation: 29+86=115, Resulting Numbers: [17, 23, 115] Generated Node #2: [17, 23, 115] from Operation: 29+86=115 Current State: 75:[17, 23, 115], Operations: ['29+86=115'] Exploring Operation: 17+23=40, Resulting Numbers: [115, 40] Generated Node #3: [115, 40] from Operation: 17+23=40 Current State: 75:[115, 40], Operations: ['29+86=115', '17+23=40'] Exploring Operation: 115-40=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 12, 17, 7, 7 ]
94
[ "12*7=84", "17-7=10", "84+10=94" ]
Current State: 94:[12, 17, 7, 7], Operations: [] Exploring Operation: 12*7=84, Resulting Numbers: [17, 84] Generated Node #2: [17, 84] from Operation: 12*7=84 Current State: 94:[17, 84], Operations: ['12*7=84'] Exploring Operation: 17-7=10, Resulting Numbers: [84, 10] Generated Node #3: [84, 10] from Operation: 17-7=10 Current State: 94:[84, 10], Operations: ['12*7=84', '17-7=10'] Exploring Operation: 84+10=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 35, 28, 33, 55 ]
81
[ "35-28=7", "33+55=88", "88-7=81" ]
Current State: 81:[35, 28, 33, 55], Operations: [] Exploring Operation: 35-28=7, Resulting Numbers: [33, 55, 7] Generated Node #2: [33, 55, 7] from Operation: 35-28=7 Current State: 81:[33, 55, 7], Operations: ['35-28=7'] Exploring Operation: 33+55=88, Resulting Numbers: [7, 88] Generated Node #3: [7, 88] from Operation: 33+55=88 Current State: 81:[7, 88], Operations: ['35-28=7', '33+55=88'] Exploring Operation: 88-7=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 30, 72, 12, 16 ]
74
[ "30+72=102", "12+16=28", "102-28=74" ]
Current State: 74:[30, 72, 12, 16], Operations: [] Exploring Operation: 30+72=102, Resulting Numbers: [12, 16, 102] Generated Node #2: [12, 16, 102] from Operation: 30+72=102 Current State: 74:[12, 16, 102], Operations: ['30+72=102'] Exploring Operation: 12+16=28, Resulting Numbers: [102, 28] Generated Node #3: [102, 28] from Operation: 12+16=28 Current State: 74:[102, 28], Operations: ['30+72=102', '12+16=28'] Exploring Operation: 102-28=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 23, 1, 10, 57 ]
71
[ "23+1=24", "57-10=47", "24+47=71" ]
Current State: 71:[23, 1, 10, 57], Operations: [] Exploring Operation: 23+1=24, Resulting Numbers: [10, 57, 24] Generated Node #2: [10, 57, 24] from Operation: 23+1=24 Current State: 71:[10, 57, 24], Operations: ['23+1=24'] Exploring Operation: 57-10=47, Resulting Numbers: [24, 47] Generated Node #3: [24, 47] from Operation: 57-10=47 Current State: 71:[24, 47], Operations: ['23+1=24', '57-10=47'] Exploring Operation: 24+47=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 25, 31, 13, 49 ]
92
[ "25+31=56", "49-13=36", "56+36=92" ]
Current State: 92:[25, 31, 13, 49], Operations: [] Exploring Operation: 25+31=56, Resulting Numbers: [13, 49, 56] Generated Node #2: [13, 49, 56] from Operation: 25+31=56 Current State: 92:[13, 49, 56], Operations: ['25+31=56'] Exploring Operation: 49-13=36, Resulting Numbers: [56, 36] Generated Node #3: [56, 36] from Operation: 49-13=36 Current State: 92:[56, 36], Operations: ['25+31=56', '49-13=36'] Exploring Operation: 56+36=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 1, 31, 5, 19 ]
17
[ "1*31=31", "19-5=14", "31-14=17" ]
Current State: 17:[1, 31, 5, 19], Operations: [] Exploring Operation: 1*31=31, Resulting Numbers: [5, 19, 31] Generated Node #2: [5, 19, 31] from Operation: 1*31=31 Current State: 17:[5, 19, 31], Operations: ['1*31=31'] Exploring Operation: 19-5=14, Resulting Numbers: [31, 14] Generated Node #3: [31, 14] from Operation: 19-5=14 Current State: 17:[31, 14], Operations: ['1*31=31', '19-5=14'] Exploring Operation: 31-14=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 53, 19, 64, 38 ]
68
[ "53-19=34", "64+38=102", "102-34=68" ]
Current State: 68:[53, 19, 64, 38], Operations: [] Exploring Operation: 53-19=34, Resulting Numbers: [64, 38, 34] Generated Node #2: [64, 38, 34] from Operation: 53-19=34 Current State: 68:[64, 38, 34], Operations: ['53-19=34'] Exploring Operation: 64+38=102, Resulting Numbers: [34, 102] Generated Node #3: [34, 102] from Operation: 64+38=102 Current State: 68:[34, 102], Operations: ['53-19=34', '64+38=102'] Exploring Operation: 102-34=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 37, 64, 5, 19 ]
46
[ "64-19=45", "45/5=9", "37+9=46" ]
Current State: 46:[37, 64, 5, 19], Operations: [] Exploring Operation: 64-19=45, Resulting Numbers: [37, 5, 45] Generated Node #2: [37, 5, 45] from Operation: 64-19=45 Current State: 46:[37, 5, 45], Operations: ['64-19=45'] Exploring Operation: 45/5=9, Resulting Numbers: [37, 9] Generated Node #3: [37, 9] from Operation: 45/5=9 Current State: 46:[37, 9], Operations: ['64-19=45', '45/5=9'] Exploring Operation: 37+9=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 45, 26, 85, 26 ]
92
[ "45-26=19", "85+26=111", "111-19=92" ]
Current State: 92:[45, 26, 85, 26], Operations: [] Exploring Operation: 45-26=19, Resulting Numbers: [85, 19] Generated Node #2: [85, 19] from Operation: 45-26=19 Current State: 92:[85, 19], Operations: ['45-26=19'] Exploring Operation: 85+26=111, Resulting Numbers: [19, 111] Generated Node #3: [19, 111] from Operation: 85+26=111 Current State: 92:[19, 111], Operations: ['45-26=19', '85+26=111'] Exploring Operation: 111-19=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 54, 1, 34, 21 ]
41
[ "54*1=54", "34-21=13", "54-13=41" ]
Current State: 41:[54, 1, 34, 21], Operations: [] Exploring Operation: 54*1=54, Resulting Numbers: [34, 21, 54] Generated Node #2: [34, 21, 54] from Operation: 54*1=54 Current State: 41:[34, 21, 54], Operations: ['54*1=54'] Exploring Operation: 34-21=13, Resulting Numbers: [54, 13] Generated Node #3: [54, 13] from Operation: 34-21=13 Current State: 41:[54, 13], Operations: ['54*1=54', '34-21=13'] Exploring Operation: 54-13=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 90, 24, 34, 73 ]
27
[ "90-24=66", "73-34=39", "66-39=27" ]
Current State: 27:[90, 24, 34, 73], Operations: [] Exploring Operation: 90-24=66, Resulting Numbers: [34, 73, 66] Generated Node #2: [34, 73, 66] from Operation: 90-24=66 Current State: 27:[34, 73, 66], Operations: ['90-24=66'] Exploring Operation: 73-34=39, Resulting Numbers: [66, 39] Generated Node #3: [66, 39] from Operation: 73-34=39 Current State: 27:[66, 39], Operations: ['90-24=66', '73-34=39'] Exploring Operation: 66-39=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 36, 5, 20, 94 ]
62
[ "94-36=58", "20/5=4", "58+4=62" ]
Current State: 62:[36, 5, 20, 94], Operations: [] Exploring Operation: 94-36=58, Resulting Numbers: [5, 20, 58] Generated Node #2: [5, 20, 58] from Operation: 94-36=58 Current State: 62:[5, 20, 58], Operations: ['94-36=58'] Exploring Operation: 20/5=4, Resulting Numbers: [58, 4] Generated Node #3: [58, 4] from Operation: 20/5=4 Current State: 62:[58, 4], Operations: ['94-36=58', '20/5=4'] Exploring Operation: 58+4=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 15, 80, 78, 81 ]
62
[ "80-15=65", "81-78=3", "65-3=62" ]
Current State: 62:[15, 80, 78, 81], Operations: [] Exploring Operation: 80-15=65, Resulting Numbers: [78, 81, 65] Generated Node #2: [78, 81, 65] from Operation: 80-15=65 Current State: 62:[78, 81, 65], Operations: ['80-15=65'] Exploring Operation: 81-78=3, Resulting Numbers: [65, 3] Generated Node #3: [65, 3] from Operation: 81-78=3 Current State: 62:[65, 3], Operations: ['80-15=65', '81-78=3'] Exploring Operation: 65-3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 93, 85, 51, 1 ]
42
[ "93-85=8", "51-1=50", "50-8=42" ]
Current State: 42:[93, 85, 51, 1], Operations: [] Exploring Operation: 93-85=8, Resulting Numbers: [51, 1, 8] Generated Node #2: [51, 1, 8] from Operation: 93-85=8 Current State: 42:[51, 1, 8], Operations: ['93-85=8'] Exploring Operation: 51-1=50, Resulting Numbers: [8, 50] Generated Node #3: [8, 50] from Operation: 51-1=50 Current State: 42:[8, 50], Operations: ['93-85=8', '51-1=50'] Exploring Operation: 50-8=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 57, 26, 72, 5 ]
98
[ "57-26=31", "72-5=67", "31+67=98" ]
Current State: 98:[57, 26, 72, 5], Operations: [] Exploring Operation: 57-26=31, Resulting Numbers: [72, 5, 31] Generated Node #2: [72, 5, 31] from Operation: 57-26=31 Current State: 98:[72, 5, 31], Operations: ['57-26=31'] Exploring Operation: 72-5=67, Resulting Numbers: [31, 67] Generated Node #3: [31, 67] from Operation: 72-5=67 Current State: 98:[31, 67], Operations: ['57-26=31', '72-5=67'] Exploring Operation: 31+67=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 32, 16, 14, 79 ]
49
[ "32-16=16", "79-14=65", "65-16=49" ]
Current State: 49:[32, 16, 14, 79], Operations: [] Exploring Operation: 32-16=16, Resulting Numbers: [14, 79, 16] Generated Node #2: [14, 79, 16] from Operation: 32-16=16 Current State: 49:[14, 79, 16], Operations: ['32-16=16'] Exploring Operation: 79-14=65, Resulting Numbers: [16, 65] Generated Node #3: [16, 65] from Operation: 79-14=65 Current State: 49:[16, 65], Operations: ['32-16=16', '79-14=65'] Exploring Operation: 65-16=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 8, 61, 10, 20 ]
55
[ "61-8=53", "20/10=2", "53+2=55" ]
Current State: 55:[8, 61, 10, 20], Operations: [] Exploring Operation: 61-8=53, Resulting Numbers: [10, 20, 53] Generated Node #2: [10, 20, 53] from Operation: 61-8=53 Current State: 55:[10, 20, 53], Operations: ['61-8=53'] Exploring Operation: 20/10=2, Resulting Numbers: [53, 2] Generated Node #3: [53, 2] from Operation: 20/10=2 Current State: 55:[53, 2], Operations: ['61-8=53', '20/10=2'] Exploring Operation: 53+2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 63, 30, 60, 90 ]
64
[ "30+60=90", "90/90=1", "63+1=64" ]
Current State: 64:[63, 30, 60, 90], Operations: [] Exploring Operation: 30+60=90, Resulting Numbers: [63, 90, 90] Generated Node #2: [63, 90, 90] from Operation: 30+60=90 Current State: 64:[63, 90, 90], Operations: ['30+60=90'] Exploring Operation: 90/90=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 90/90=1 Current State: 64:[63, 1], Operations: ['30+60=90', '90/90=1'] Exploring Operation: 63+1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 10, 30, 9, 24 ]
72
[ "30/10=3", "9*24=216", "216/3=72" ]
Current State: 72:[10, 30, 9, 24], Operations: [] Exploring Operation: 30/10=3, Resulting Numbers: [9, 24, 3] Generated Node #2: [9, 24, 3] from Operation: 30/10=3 Current State: 72:[9, 24, 3], Operations: ['30/10=3'] Exploring Operation: 9*24=216, Resulting Numbers: [3, 216] Generated Node #3: [3, 216] from Operation: 9*24=216 Current State: 72:[3, 216], Operations: ['30/10=3', '9*24=216'] Exploring Operation: 216/3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 30, 43, 49, 54 ]
18
[ "43-30=13", "54-49=5", "13+5=18" ]
Current State: 18:[30, 43, 49, 54], Operations: [] Exploring Operation: 43-30=13, Resulting Numbers: [49, 54, 13] Generated Node #2: [49, 54, 13] from Operation: 43-30=13 Current State: 18:[49, 54, 13], Operations: ['43-30=13'] Exploring Operation: 54-49=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 54-49=5 Current State: 18:[13, 5], Operations: ['43-30=13', '54-49=5'] Exploring Operation: 13+5=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 6, 6, 42, 20 ]
18
[ "6*42=252", "20-6=14", "252/14=18" ]
Current State: 18:[6, 6, 42, 20], Operations: [] Exploring Operation: 6*42=252, Resulting Numbers: [20, 252] Generated Node #2: [20, 252] from Operation: 6*42=252 Current State: 18:[20, 252], Operations: ['6*42=252'] Exploring Operation: 20-6=14, Resulting Numbers: [252, 14] Generated Node #3: [252, 14] from Operation: 20-6=14 Current State: 18:[252, 14], Operations: ['6*42=252', '20-6=14'] Exploring Operation: 252/14=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 55, 18, 31, 40 ]
30
[ "55-31=24", "18*40=720", "720/24=30" ]
Current State: 30:[55, 18, 31, 40], Operations: [] Exploring Operation: 55-31=24, Resulting Numbers: [18, 40, 24] Generated Node #2: [18, 40, 24] from Operation: 55-31=24 Current State: 30:[18, 40, 24], Operations: ['55-31=24'] Exploring Operation: 18*40=720, Resulting Numbers: [24, 720] Generated Node #3: [24, 720] from Operation: 18*40=720 Current State: 30:[24, 720], Operations: ['55-31=24', '18*40=720'] Exploring Operation: 720/24=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 29, 61, 62, 4 ]
26
[ "61-29=32", "62-4=58", "58-32=26" ]
Current State: 26:[29, 61, 62, 4], Operations: [] Exploring Operation: 61-29=32, Resulting Numbers: [62, 4, 32] Generated Node #2: [62, 4, 32] from Operation: 61-29=32 Current State: 26:[62, 4, 32], Operations: ['61-29=32'] Exploring Operation: 62-4=58, Resulting Numbers: [32, 58] Generated Node #3: [32, 58] from Operation: 62-4=58 Current State: 26:[32, 58], Operations: ['61-29=32', '62-4=58'] Exploring Operation: 58-32=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 48, 24, 60, 2 ]
86
[ "48-24=24", "60+2=62", "24+62=86" ]
Current State: 86:[48, 24, 60, 2], Operations: [] Exploring Operation: 48-24=24, Resulting Numbers: [60, 2, 24] Generated Node #2: [60, 2, 24] from Operation: 48-24=24 Current State: 86:[60, 2, 24], Operations: ['48-24=24'] Exploring Operation: 60+2=62, Resulting Numbers: [24, 62] Generated Node #3: [24, 62] from Operation: 60+2=62 Current State: 86:[24, 62], Operations: ['48-24=24', '60+2=62'] Exploring Operation: 24+62=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 60, 97, 28, 62 ]
71
[ "97-60=37", "62-28=34", "37+34=71" ]
Current State: 71:[60, 97, 28, 62], Operations: [] Exploring Operation: 97-60=37, Resulting Numbers: [28, 62, 37] Generated Node #2: [28, 62, 37] from Operation: 97-60=37 Current State: 71:[28, 62, 37], Operations: ['97-60=37'] Exploring Operation: 62-28=34, Resulting Numbers: [37, 34] Generated Node #3: [37, 34] from Operation: 62-28=34 Current State: 71:[37, 34], Operations: ['97-60=37', '62-28=34'] Exploring Operation: 37+34=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 25, 43, 76, 38 ]
81
[ "43-38=5", "25/5=5", "76+5=81" ]
Current State: 81:[25, 43, 76, 38], Operations: [] Exploring Operation: 43-38=5, Resulting Numbers: [25, 76, 5] Generated Node #2: [25, 76, 5] from Operation: 43-38=5 Current State: 81:[25, 76, 5], Operations: ['43-38=5'] Exploring Operation: 25/5=5, Resulting Numbers: [76, 5] Generated Node #3: [76, 5] from Operation: 25/5=5 Current State: 81:[76, 5], Operations: ['43-38=5', '25/5=5'] Exploring Operation: 76+5=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 6, 44, 22, 35 ]
63
[ "6+44=50", "35-22=13", "50+13=63" ]
Current State: 63:[6, 44, 22, 35], Operations: [] Exploring Operation: 6+44=50, Resulting Numbers: [22, 35, 50] Generated Node #2: [22, 35, 50] from Operation: 6+44=50 Current State: 63:[22, 35, 50], Operations: ['6+44=50'] Exploring Operation: 35-22=13, Resulting Numbers: [50, 13] Generated Node #3: [50, 13] from Operation: 35-22=13 Current State: 63:[50, 13], Operations: ['6+44=50', '35-22=13'] Exploring Operation: 50+13=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 45, 32, 5, 37 ]
28
[ "45-32=13", "5*13=65", "65-37=28" ]
Current State: 28:[45, 32, 5, 37], Operations: [] Exploring Operation: 45-32=13, Resulting Numbers: [5, 37, 13] Generated Node #2: [5, 37, 13] from Operation: 45-32=13 Current State: 28:[5, 37, 13], Operations: ['45-32=13'] Exploring Operation: 5*13=65, Resulting Numbers: [37, 65] Generated Node #3: [37, 65] from Operation: 5*13=65 Current State: 28:[37, 65], Operations: ['45-32=13', '5*13=65'] Exploring Operation: 65-37=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 79, 69, 12, 6 ]
48
[ "79-69=10", "6*10=60", "60-12=48" ]
Current State: 48:[79, 69, 12, 6], Operations: [] Exploring Operation: 79-69=10, Resulting Numbers: [12, 6, 10] Generated Node #2: [12, 6, 10] from Operation: 79-69=10 Current State: 48:[12, 6, 10], Operations: ['79-69=10'] Exploring Operation: 6*10=60, Resulting Numbers: [12, 60] Generated Node #3: [12, 60] from Operation: 6*10=60 Current State: 48:[12, 60], Operations: ['79-69=10', '6*10=60'] Exploring Operation: 60-12=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 78, 73, 3, 47 ]
94
[ "78-73=5", "5-3=2", "47*2=94" ]
Current State: 94:[78, 73, 3, 47], Operations: [] Exploring Operation: 78-73=5, Resulting Numbers: [3, 47, 5] Generated Node #2: [3, 47, 5] from Operation: 78-73=5 Current State: 94:[3, 47, 5], Operations: ['78-73=5'] Exploring Operation: 5-3=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 5-3=2 Current State: 94:[47, 2], Operations: ['78-73=5', '5-3=2'] Exploring Operation: 47*2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 82, 68, 39, 89 ]
64
[ "82-68=14", "89-39=50", "14+50=64" ]
Current State: 64:[82, 68, 39, 89], Operations: [] Exploring Operation: 82-68=14, Resulting Numbers: [39, 89, 14] Generated Node #2: [39, 89, 14] from Operation: 82-68=14 Current State: 64:[39, 89, 14], Operations: ['82-68=14'] Exploring Operation: 89-39=50, Resulting Numbers: [14, 50] Generated Node #3: [14, 50] from Operation: 89-39=50 Current State: 64:[14, 50], Operations: ['82-68=14', '89-39=50'] Exploring Operation: 14+50=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 99, 7, 73, 6 ]
83
[ "99*6=594", "7*73=511", "594-511=83" ]
Current State: 83:[99, 7, 73, 6], Operations: [] Exploring Operation: 99*6=594, Resulting Numbers: [7, 73, 594] Generated Node #2: [7, 73, 594] from Operation: 99*6=594 Current State: 83:[7, 73, 594], Operations: ['99*6=594'] Exploring Operation: 7*73=511, Resulting Numbers: [594, 511] Generated Node #3: [594, 511] from Operation: 7*73=511 Current State: 83:[594, 511], Operations: ['99*6=594', '7*73=511'] Exploring Operation: 594-511=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 32, 99, 21, 17 ]
93
[ "32+99=131", "21+17=38", "131-38=93" ]
Current State: 93:[32, 99, 21, 17], Operations: [] Exploring Operation: 32+99=131, Resulting Numbers: [21, 17, 131] Generated Node #2: [21, 17, 131] from Operation: 32+99=131 Current State: 93:[21, 17, 131], Operations: ['32+99=131'] Exploring Operation: 21+17=38, Resulting Numbers: [131, 38] Generated Node #3: [131, 38] from Operation: 21+17=38 Current State: 93:[131, 38], Operations: ['32+99=131', '21+17=38'] Exploring Operation: 131-38=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 52, 89, 69, 26 ]
98
[ "52+89=141", "69-26=43", "141-43=98" ]
Current State: 98:[52, 89, 69, 26], Operations: [] Exploring Operation: 52+89=141, Resulting Numbers: [69, 26, 141] Generated Node #2: [69, 26, 141] from Operation: 52+89=141 Current State: 98:[69, 26, 141], Operations: ['52+89=141'] Exploring Operation: 69-26=43, Resulting Numbers: [141, 43] Generated Node #3: [141, 43] from Operation: 69-26=43 Current State: 98:[141, 43], Operations: ['52+89=141', '69-26=43'] Exploring Operation: 141-43=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 84, 10, 18, 69 ]
66
[ "10+18=28", "84/28=3", "69-3=66" ]
Current State: 66:[84, 10, 18, 69], Operations: [] Exploring Operation: 10+18=28, Resulting Numbers: [84, 69, 28] Generated Node #2: [84, 69, 28] from Operation: 10+18=28 Current State: 66:[84, 69, 28], Operations: ['10+18=28'] Exploring Operation: 84/28=3, Resulting Numbers: [69, 3] Generated Node #3: [69, 3] from Operation: 84/28=3 Current State: 66:[69, 3], Operations: ['10+18=28', '84/28=3'] Exploring Operation: 69-3=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 75, 56, 3, 74 ]
58
[ "75-56=19", "3+74=77", "77-19=58" ]
Current State: 58:[75, 56, 3, 74], Operations: [] Exploring Operation: 75-56=19, Resulting Numbers: [3, 74, 19] Generated Node #2: [3, 74, 19] from Operation: 75-56=19 Current State: 58:[3, 74, 19], Operations: ['75-56=19'] Exploring Operation: 3+74=77, Resulting Numbers: [19, 77] Generated Node #3: [19, 77] from Operation: 3+74=77 Current State: 58:[19, 77], Operations: ['75-56=19', '3+74=77'] Exploring Operation: 77-19=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 74, 1, 50, 10 ]
69
[ "74*1=74", "50/10=5", "74-5=69" ]
Current State: 69:[74, 1, 50, 10], Operations: [] Exploring Operation: 74*1=74, Resulting Numbers: [50, 10, 74] Generated Node #2: [50, 10, 74] from Operation: 74*1=74 Current State: 69:[50, 10, 74], Operations: ['74*1=74'] Exploring Operation: 50/10=5, Resulting Numbers: [74, 5] Generated Node #3: [74, 5] from Operation: 50/10=5 Current State: 69:[74, 5], Operations: ['74*1=74', '50/10=5'] Exploring Operation: 74-5=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 22, 84, 69, 3 ]
83
[ "22+84=106", "69/3=23", "106-23=83" ]
Current State: 83:[22, 84, 69, 3], Operations: [] Exploring Operation: 22+84=106, Resulting Numbers: [69, 3, 106] Generated Node #2: [69, 3, 106] from Operation: 22+84=106 Current State: 83:[69, 3, 106], Operations: ['22+84=106'] Exploring Operation: 69/3=23, Resulting Numbers: [106, 23] Generated Node #3: [106, 23] from Operation: 69/3=23 Current State: 83:[106, 23], Operations: ['22+84=106', '69/3=23'] Exploring Operation: 106-23=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 55, 80, 51, 61 ]
77
[ "51+61=112", "55*112=6160", "6160/80=77" ]
Current State: 77:[55, 80, 51, 61], Operations: [] Exploring Operation: 51+61=112, Resulting Numbers: [55, 80, 112] Generated Node #2: [55, 80, 112] from Operation: 51+61=112 Current State: 77:[55, 80, 112], Operations: ['51+61=112'] Exploring Operation: 55*112=6160, Resulting Numbers: [80, 6160] Generated Node #3: [80, 6160] from Operation: 55*112=6160 Current State: 77:[80, 6160], Operations: ['51+61=112', '55*112=6160'] Exploring Operation: 6160/80=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 45, 91, 50, 58 ]
43
[ "58-45=13", "91/13=7", "50-7=43" ]
Current State: 43:[45, 91, 50, 58], Operations: [] Exploring Operation: 58-45=13, Resulting Numbers: [91, 50, 13] Generated Node #2: [91, 50, 13] from Operation: 58-45=13 Current State: 43:[91, 50, 13], Operations: ['58-45=13'] Exploring Operation: 91/13=7, Resulting Numbers: [50, 7] Generated Node #3: [50, 7] from Operation: 91/13=7 Current State: 43:[50, 7], Operations: ['58-45=13', '91/13=7'] Exploring Operation: 50-7=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 7, 10, 10, 92 ]
100
[ "7+92=99", "10/10=1", "99+1=100" ]
Current State: 100:[7, 10, 10, 92], Operations: [] Exploring Operation: 7+92=99, Resulting Numbers: [10, 10, 99] Generated Node #2: [10, 10, 99] from Operation: 7+92=99 Current State: 100:[10, 10, 99], Operations: ['7+92=99'] Exploring Operation: 10/10=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 10/10=1 Current State: 100:[99, 1], Operations: ['7+92=99', '10/10=1'] Exploring Operation: 99+1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 98, 26, 62, 46 ]
44
[ "98+26=124", "124/62=2", "46-2=44" ]
Current State: 44:[98, 26, 62, 46], Operations: [] Exploring Operation: 98+26=124, Resulting Numbers: [62, 46, 124] Generated Node #2: [62, 46, 124] from Operation: 98+26=124 Current State: 44:[62, 46, 124], Operations: ['98+26=124'] Exploring Operation: 124/62=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 124/62=2 Current State: 44:[46, 2], Operations: ['98+26=124', '124/62=2'] Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 6, 46, 11, 61 ]
90
[ "46-6=40", "61-11=50", "40+50=90" ]
Current State: 90:[6, 46, 11, 61], Operations: [] Exploring Operation: 46-6=40, Resulting Numbers: [11, 61, 40] Generated Node #2: [11, 61, 40] from Operation: 46-6=40 Current State: 90:[11, 61, 40], Operations: ['46-6=40'] Exploring Operation: 61-11=50, Resulting Numbers: [40, 50] Generated Node #3: [40, 50] from Operation: 61-11=50 Current State: 90:[40, 50], Operations: ['46-6=40', '61-11=50'] Exploring Operation: 40+50=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 46, 44, 13, 14 ]
41
[ "46-44=2", "14*2=28", "13+28=41" ]
Current State: 41:[46, 44, 13, 14], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [13, 14, 2] Generated Node #2: [13, 14, 2] from Operation: 46-44=2 Current State: 41:[13, 14, 2], Operations: ['46-44=2'] Exploring Operation: 14*2=28, Resulting Numbers: [13, 28] Generated Node #3: [13, 28] from Operation: 14*2=28 Current State: 41:[13, 28], Operations: ['46-44=2', '14*2=28'] Exploring Operation: 13+28=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 45, 5, 48, 44 ]
53
[ "45-44=1", "5+48=53", "1*53=53" ]
Current State: 53:[45, 5, 48, 44], Operations: [] Exploring Operation: 45-44=1, Resulting Numbers: [5, 48, 1] Generated Node #2: [5, 48, 1] from Operation: 45-44=1 Current State: 53:[5, 48, 1], Operations: ['45-44=1'] Exploring Operation: 5+48=53, Resulting Numbers: [1, 53] Generated Node #3: [1, 53] from Operation: 5+48=53 Current State: 53:[1, 53], Operations: ['45-44=1', '5+48=53'] Exploring Operation: 1*53=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 2, 43, 28, 42 ]
55
[ "43-2=41", "42-28=14", "41+14=55" ]
Current State: 55:[2, 43, 28, 42], Operations: [] Exploring Operation: 43-2=41, Resulting Numbers: [28, 42, 41] Generated Node #2: [28, 42, 41] from Operation: 43-2=41 Current State: 55:[28, 42, 41], Operations: ['43-2=41'] Exploring Operation: 42-28=14, Resulting Numbers: [41, 14] Generated Node #3: [41, 14] from Operation: 42-28=14 Current State: 55:[41, 14], Operations: ['43-2=41', '42-28=14'] Exploring Operation: 41+14=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 53, 12, 42, 6 ]
78
[ "53-42=11", "6*11=66", "12+66=78" ]
Current State: 78:[53, 12, 42, 6], Operations: [] Exploring Operation: 53-42=11, Resulting Numbers: [12, 6, 11] Generated Node #2: [12, 6, 11] from Operation: 53-42=11 Current State: 78:[12, 6, 11], Operations: ['53-42=11'] Exploring Operation: 6*11=66, Resulting Numbers: [12, 66] Generated Node #3: [12, 66] from Operation: 6*11=66 Current State: 78:[12, 66], Operations: ['53-42=11', '6*11=66'] Exploring Operation: 12+66=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 25, 65, 20, 51 ]
59
[ "25+65=90", "51-20=31", "90-31=59" ]
Current State: 59:[25, 65, 20, 51], Operations: [] Exploring Operation: 25+65=90, Resulting Numbers: [20, 51, 90] Generated Node #2: [20, 51, 90] from Operation: 25+65=90 Current State: 59:[20, 51, 90], Operations: ['25+65=90'] Exploring Operation: 51-20=31, Resulting Numbers: [90, 31] Generated Node #3: [90, 31] from Operation: 51-20=31 Current State: 59:[90, 31], Operations: ['25+65=90', '51-20=31'] Exploring Operation: 90-31=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 38, 40, 32, 25 ]
20
[ "32*25=800", "800-40=760", "760/38=20" ]
Current State: 20:[38, 40, 32, 25], Operations: [] Exploring Operation: 32*25=800, Resulting Numbers: [38, 40, 800] Generated Node #2: [38, 40, 800] from Operation: 32*25=800 Current State: 20:[38, 40, 800], Operations: ['32*25=800'] Exploring Operation: 800-40=760, Resulting Numbers: [38, 760] Generated Node #3: [38, 760] from Operation: 800-40=760 Current State: 20:[38, 760], Operations: ['32*25=800', '800-40=760'] Exploring Operation: 760/38=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 22, 89, 59, 57 ]
65
[ "89-22=67", "59-57=2", "67-2=65" ]
Current State: 65:[22, 89, 59, 57], Operations: [] Exploring Operation: 89-22=67, Resulting Numbers: [59, 57, 67] Generated Node #2: [59, 57, 67] from Operation: 89-22=67 Current State: 65:[59, 57, 67], Operations: ['89-22=67'] Exploring Operation: 59-57=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 59-57=2 Current State: 65:[67, 2], Operations: ['89-22=67', '59-57=2'] Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 88, 32, 77, 1 ]
20
[ "88-32=56", "77-1=76", "76-56=20" ]
Current State: 20:[88, 32, 77, 1], Operations: [] Exploring Operation: 88-32=56, Resulting Numbers: [77, 1, 56] Generated Node #2: [77, 1, 56] from Operation: 88-32=56 Current State: 20:[77, 1, 56], Operations: ['88-32=56'] Exploring Operation: 77-1=76, Resulting Numbers: [56, 76] Generated Node #3: [56, 76] from Operation: 77-1=76 Current State: 20:[56, 76], Operations: ['88-32=56', '77-1=76'] Exploring Operation: 76-56=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 12, 86, 5, 23 ]
41
[ "86-12=74", "5*23=115", "115-74=41" ]
Current State: 41:[12, 86, 5, 23], Operations: [] Exploring Operation: 86-12=74, Resulting Numbers: [5, 23, 74] Generated Node #2: [5, 23, 74] from Operation: 86-12=74 Current State: 41:[5, 23, 74], Operations: ['86-12=74'] Exploring Operation: 5*23=115, Resulting Numbers: [74, 115] Generated Node #3: [74, 115] from Operation: 5*23=115 Current State: 41:[74, 115], Operations: ['86-12=74', '5*23=115'] Exploring Operation: 115-74=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 69, 68, 70, 63 ]
66
[ "69+63=132", "70-68=2", "132/2=66" ]
Current State: 66:[69, 68, 70, 63], Operations: [] Exploring Operation: 69+63=132, Resulting Numbers: [68, 70, 132] Generated Node #2: [68, 70, 132] from Operation: 69+63=132 Current State: 66:[68, 70, 132], Operations: ['69+63=132'] Exploring Operation: 70-68=2, Resulting Numbers: [132, 2] Generated Node #3: [132, 2] from Operation: 70-68=2 Current State: 66:[132, 2], Operations: ['69+63=132', '70-68=2'] Exploring Operation: 132/2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 86, 4, 22, 19 ]
86
[ "22-4=18", "19-18=1", "86*1=86" ]
Current State: 86:[86, 4, 22, 19], Operations: [] Exploring Operation: 22-4=18, Resulting Numbers: [86, 19, 18] Generated Node #2: [86, 19, 18] from Operation: 22-4=18 Current State: 86:[86, 19, 18], Operations: ['22-4=18'] Exploring Operation: 19-18=1, Resulting Numbers: [86, 1] Generated Node #3: [86, 1] from Operation: 19-18=1 Current State: 86:[86, 1], Operations: ['22-4=18', '19-18=1'] Exploring Operation: 86*1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 87, 4, 21, 13 ]
10
[ "87-13=74", "4*21=84", "84-74=10" ]
Current State: 10:[87, 4, 21, 13], Operations: [] Exploring Operation: 87-13=74, Resulting Numbers: [4, 21, 74] Generated Node #2: [4, 21, 74] from Operation: 87-13=74 Current State: 10:[4, 21, 74], Operations: ['87-13=74'] Exploring Operation: 4*21=84, Resulting Numbers: [74, 84] Generated Node #3: [74, 84] from Operation: 4*21=84 Current State: 10:[74, 84], Operations: ['87-13=74', '4*21=84'] Exploring Operation: 84-74=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 91, 2, 65, 67 ]
91
[ "91+2=93", "67-65=2", "93-2=91" ]
Current State: 91:[91, 2, 65, 67], Operations: [] Exploring Operation: 91+2=93, Resulting Numbers: [65, 67, 93] Generated Node #2: [65, 67, 93] from Operation: 91+2=93 Current State: 91:[65, 67, 93], Operations: ['91+2=93'] Exploring Operation: 67-65=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 67-65=2 Current State: 91:[93, 2], Operations: ['91+2=93', '67-65=2'] Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 68, 33, 32, 23 ]
20
[ "68-33=35", "32+23=55", "55-35=20" ]
Current State: 20:[68, 33, 32, 23], Operations: [] Exploring Operation: 68-33=35, Resulting Numbers: [32, 23, 35] Generated Node #2: [32, 23, 35] from Operation: 68-33=35 Current State: 20:[32, 23, 35], Operations: ['68-33=35'] Exploring Operation: 32+23=55, Resulting Numbers: [35, 55] Generated Node #3: [35, 55] from Operation: 32+23=55 Current State: 20:[35, 55], Operations: ['68-33=35', '32+23=55'] Exploring Operation: 55-35=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 69, 60, 39, 26 ]
56
[ "69-60=9", "39+26=65", "65-9=56" ]
Current State: 56:[69, 60, 39, 26], Operations: [] Exploring Operation: 69-60=9, Resulting Numbers: [39, 26, 9] Generated Node #2: [39, 26, 9] from Operation: 69-60=9 Current State: 56:[39, 26, 9], Operations: ['69-60=9'] Exploring Operation: 39+26=65, Resulting Numbers: [9, 65] Generated Node #3: [9, 65] from Operation: 39+26=65 Current State: 56:[9, 65], Operations: ['69-60=9', '39+26=65'] Exploring Operation: 65-9=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 97, 40, 61, 87 ]
31
[ "97-40=57", "87-61=26", "57-26=31" ]
Current State: 31:[97, 40, 61, 87], Operations: [] Exploring Operation: 97-40=57, Resulting Numbers: [61, 87, 57] Generated Node #2: [61, 87, 57] from Operation: 97-40=57 Current State: 31:[61, 87, 57], Operations: ['97-40=57'] Exploring Operation: 87-61=26, Resulting Numbers: [57, 26] Generated Node #3: [57, 26] from Operation: 87-61=26 Current State: 31:[57, 26], Operations: ['97-40=57', '87-61=26'] Exploring Operation: 57-26=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 12, 30, 19, 48 ]
17
[ "12+48=60", "60/30=2", "19-2=17" ]
Current State: 17:[12, 30, 19, 48], Operations: [] Exploring Operation: 12+48=60, Resulting Numbers: [30, 19, 60] Generated Node #2: [30, 19, 60] from Operation: 12+48=60 Current State: 17:[30, 19, 60], Operations: ['12+48=60'] Exploring Operation: 60/30=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 60/30=2 Current State: 17:[19, 2], Operations: ['12+48=60', '60/30=2'] Exploring Operation: 19-2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 47, 49, 48, 69 ]
20
[ "48-47=1", "69-49=20", "1*20=20" ]
Current State: 20:[47, 49, 48, 69], Operations: [] Exploring Operation: 48-47=1, Resulting Numbers: [49, 69, 1] Generated Node #2: [49, 69, 1] from Operation: 48-47=1 Current State: 20:[49, 69, 1], Operations: ['48-47=1'] Exploring Operation: 69-49=20, Resulting Numbers: [1, 20] Generated Node #3: [1, 20] from Operation: 69-49=20 Current State: 20:[1, 20], Operations: ['48-47=1', '69-49=20'] Exploring Operation: 1*20=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 84, 46, 51, 63 ]
53
[ "63-51=12", "84/12=7", "46+7=53" ]
Current State: 53:[84, 46, 51, 63], Operations: [] Exploring Operation: 63-51=12, Resulting Numbers: [84, 46, 12] Generated Node #2: [84, 46, 12] from Operation: 63-51=12 Current State: 53:[84, 46, 12], Operations: ['63-51=12'] Exploring Operation: 84/12=7, Resulting Numbers: [46, 7] Generated Node #3: [46, 7] from Operation: 84/12=7 Current State: 53:[46, 7], Operations: ['63-51=12', '84/12=7'] Exploring Operation: 46+7=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 4, 21, 59, 4 ]
29
[ "4*21=84", "59-4=55", "84-55=29" ]
Current State: 29:[4, 21, 59, 4], Operations: [] Exploring Operation: 4*21=84, Resulting Numbers: [59, 84] Generated Node #2: [59, 84] from Operation: 4*21=84 Current State: 29:[59, 84], Operations: ['4*21=84'] Exploring Operation: 59-4=55, Resulting Numbers: [84, 55] Generated Node #3: [84, 55] from Operation: 59-4=55 Current State: 29:[84, 55], Operations: ['4*21=84', '59-4=55'] Exploring Operation: 84-55=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 79, 24, 33, 57 ]
36
[ "79-57=22", "24*33=792", "792/22=36" ]
Current State: 36:[79, 24, 33, 57], Operations: [] Exploring Operation: 79-57=22, Resulting Numbers: [24, 33, 22] Generated Node #2: [24, 33, 22] from Operation: 79-57=22 Current State: 36:[24, 33, 22], Operations: ['79-57=22'] Exploring Operation: 24*33=792, Resulting Numbers: [22, 792] Generated Node #3: [22, 792] from Operation: 24*33=792 Current State: 36:[22, 792], Operations: ['79-57=22', '24*33=792'] Exploring Operation: 792/22=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 50, 62, 57, 32 ]
23
[ "50+62=112", "57+32=89", "112-89=23" ]
Current State: 23:[50, 62, 57, 32], Operations: [] Exploring Operation: 50+62=112, Resulting Numbers: [57, 32, 112] Generated Node #2: [57, 32, 112] from Operation: 50+62=112 Current State: 23:[57, 32, 112], Operations: ['50+62=112'] Exploring Operation: 57+32=89, Resulting Numbers: [112, 89] Generated Node #3: [112, 89] from Operation: 57+32=89 Current State: 23:[112, 89], Operations: ['50+62=112', '57+32=89'] Exploring Operation: 112-89=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 82, 57, 27, 84 ]
15
[ "84-82=2", "57-27=30", "30/2=15" ]
Current State: 15:[82, 57, 27, 84], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [57, 27, 2] Generated Node #2: [57, 27, 2] from Operation: 84-82=2 Current State: 15:[57, 27, 2], Operations: ['84-82=2'] Exploring Operation: 57-27=30, Resulting Numbers: [2, 30] Generated Node #3: [2, 30] from Operation: 57-27=30 Current State: 15:[2, 30], Operations: ['84-82=2', '57-27=30'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 5, 53, 53, 31 ]
31
[ "53-53=0", "5*0=0", "31+0=31" ]
Current State: 31:[5, 53, 53, 31], Operations: [] Exploring Operation: 53-53=0, Resulting Numbers: [5, 31, 0] Generated Node #2: [5, 31, 0] from Operation: 53-53=0 Current State: 31:[5, 31, 0], Operations: ['53-53=0'] Exploring Operation: 5*0=0, Resulting Numbers: [31, 0] Generated Node #3: [31, 0] from Operation: 5*0=0 Current State: 31:[31, 0], Operations: ['53-53=0', '5*0=0'] Exploring Operation: 31+0=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 71, 65, 74, 90 ]
89
[ "71-65=6", "90/6=15", "74+15=89" ]
Current State: 89:[71, 65, 74, 90], Operations: [] Exploring Operation: 71-65=6, Resulting Numbers: [74, 90, 6] Generated Node #2: [74, 90, 6] from Operation: 71-65=6 Current State: 89:[74, 90, 6], Operations: ['71-65=6'] Exploring Operation: 90/6=15, Resulting Numbers: [74, 15] Generated Node #3: [74, 15] from Operation: 90/6=15 Current State: 89:[74, 15], Operations: ['71-65=6', '90/6=15'] Exploring Operation: 74+15=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 88, 90, 92, 22 ]
22
[ "92-90=2", "88/2=44", "44-22=22" ]
Current State: 22:[88, 90, 92, 22], Operations: [] Exploring Operation: 92-90=2, Resulting Numbers: [88, 22, 2] Generated Node #2: [88, 22, 2] from Operation: 92-90=2 Current State: 22:[88, 22, 2], Operations: ['92-90=2'] Exploring Operation: 88/2=44, Resulting Numbers: [22, 44] Generated Node #3: [22, 44] from Operation: 88/2=44 Current State: 22:[22, 44], Operations: ['92-90=2', '88/2=44'] Exploring Operation: 44-22=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 4, 38, 15, 28 ]
30
[ "4+15=19", "38/19=2", "28+2=30" ]
Current State: 30:[4, 38, 15, 28], Operations: [] Exploring Operation: 4+15=19, Resulting Numbers: [38, 28, 19] Generated Node #2: [38, 28, 19] from Operation: 4+15=19 Current State: 30:[38, 28, 19], Operations: ['4+15=19'] Exploring Operation: 38/19=2, Resulting Numbers: [28, 2] Generated Node #3: [28, 2] from Operation: 38/19=2 Current State: 30:[28, 2], Operations: ['4+15=19', '38/19=2'] Exploring Operation: 28+2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 96, 48, 91, 67 ]
23
[ "96-91=5", "48+67=115", "115/5=23" ]
Current State: 23:[96, 48, 91, 67], Operations: [] Exploring Operation: 96-91=5, Resulting Numbers: [48, 67, 5] Generated Node #2: [48, 67, 5] from Operation: 96-91=5 Current State: 23:[48, 67, 5], Operations: ['96-91=5'] Exploring Operation: 48+67=115, Resulting Numbers: [5, 115] Generated Node #3: [5, 115] from Operation: 48+67=115 Current State: 23:[5, 115], Operations: ['96-91=5', '48+67=115'] Exploring Operation: 115/5=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 81, 27, 85, 45 ]
30
[ "27*85=2295", "2295/45=51", "81-51=30" ]
Current State: 30:[81, 27, 85, 45], Operations: [] Exploring Operation: 27*85=2295, Resulting Numbers: [81, 45, 2295] Generated Node #2: [81, 45, 2295] from Operation: 27*85=2295 Current State: 30:[81, 45, 2295], Operations: ['27*85=2295'] Exploring Operation: 2295/45=51, Resulting Numbers: [81, 51] Generated Node #3: [81, 51] from Operation: 2295/45=51 Current State: 30:[81, 51], Operations: ['27*85=2295', '2295/45=51'] Exploring Operation: 81-51=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 84, 39, 19, 24 ]
40
[ "84-39=45", "24-19=5", "45-5=40" ]
Current State: 40:[84, 39, 19, 24], Operations: [] Exploring Operation: 84-39=45, Resulting Numbers: [19, 24, 45] Generated Node #2: [19, 24, 45] from Operation: 84-39=45 Current State: 40:[19, 24, 45], Operations: ['84-39=45'] Exploring Operation: 24-19=5, Resulting Numbers: [45, 5] Generated Node #3: [45, 5] from Operation: 24-19=5 Current State: 40:[45, 5], Operations: ['84-39=45', '24-19=5'] Exploring Operation: 45-5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4