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
[ 16, 80, 32, 57 ]
26
[ "16*57=912", "912-80=832", "832/32=26" ]
Current State: 26:[16, 80, 32, 57], Operations: [] Exploring Operation: 16*57=912, Resulting Numbers: [80, 32, 912] Generated Node #2: [80, 32, 912] from Operation: 16*57=912 Current State: 26:[80, 32, 912], Operations: ['16*57=912'] Exploring Operation: 912-80=832, Resulting Numbers: [32, 832] Generated Node #3: [32, 832] from Operation: 912-80=832 Current State: 26:[32, 832], Operations: ['16*57=912', '912-80=832'] Exploring Operation: 832/32=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 53, 83, 19, 4 ]
80
[ "53+4=57", "57/19=3", "83-3=80" ]
Current State: 80:[53, 83, 19, 4], Operations: [] Exploring Operation: 53+4=57, Resulting Numbers: [83, 19, 57] Generated Node #2: [83, 19, 57] from Operation: 53+4=57 Current State: 80:[83, 19, 57], Operations: ['53+4=57'] Exploring Operation: 57/19=3, Resulting Numbers: [83, 3] Generated Node #3: [83, 3] from Operation: 57/19=3 Current State: 80:[83, 3], Operations: ['53+4=57', '57/19=3'] Exploring Operation: 83-3=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 58, 24, 21, 92 ]
82
[ "24-21=3", "58*3=174", "174-92=82" ]
Current State: 82:[58, 24, 21, 92], Operations: [] Exploring Operation: 24-21=3, Resulting Numbers: [58, 92, 3] Generated Node #2: [58, 92, 3] from Operation: 24-21=3 Current State: 82:[58, 92, 3], Operations: ['24-21=3'] Exploring Operation: 58*3=174, Resulting Numbers: [92, 174] Generated Node #3: [92, 174] from Operation: 58*3=174 Current State: 82:[92, 174], Operations: ['24-21=3', '58*3=174'] Exploring Operation: 174-92=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 74, 98, 17, 78 ]
30
[ "78-74=4", "17*4=68", "98-68=30" ]
Current State: 30:[74, 98, 17, 78], Operations: [] Exploring Operation: 78-74=4, Resulting Numbers: [98, 17, 4] Generated Node #2: [98, 17, 4] from Operation: 78-74=4 Current State: 30:[98, 17, 4], Operations: ['78-74=4'] Exploring Operation: 17*4=68, Resulting Numbers: [98, 68] Generated Node #3: [98, 68] from Operation: 17*4=68 Current State: 30:[98, 68], Operations: ['78-74=4', '17*4=68'] Exploring Operation: 98-68=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 11, 92, 64, 7 ]
49
[ "11*7=77", "92-64=28", "77-28=49" ]
Current State: 49:[11, 92, 64, 7], Operations: [] Exploring Operation: 11*7=77, Resulting Numbers: [92, 64, 77] Generated Node #2: [92, 64, 77] from Operation: 11*7=77 Current State: 49:[92, 64, 77], Operations: ['11*7=77'] Exploring Operation: 92-64=28, Resulting Numbers: [77, 28] Generated Node #3: [77, 28] from Operation: 92-64=28 Current State: 49:[77, 28], Operations: ['11*7=77', '92-64=28'] Exploring Operation: 77-28=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 94, 83, 47, 46 ]
74
[ "94/47=2", "83-46=37", "2*37=74" ]
Current State: 74:[94, 83, 47, 46], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [83, 46, 2] Generated Node #2: [83, 46, 2] from Operation: 94/47=2 Current State: 74:[83, 46, 2], Operations: ['94/47=2'] Exploring Operation: 83-46=37, Resulting Numbers: [2, 37] Generated Node #3: [2, 37] from Operation: 83-46=37 Current State: 74:[2, 37], Operations: ['94/47=2', '83-46=37'] Exploring Operation: 2*37=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 98, 5, 79, 5 ]
19
[ "98+5=103", "79+5=84", "103-84=19" ]
Current State: 19:[98, 5, 79, 5], Operations: [] Exploring Operation: 98+5=103, Resulting Numbers: [79, 103] Generated Node #2: [79, 103] from Operation: 98+5=103 Current State: 19:[79, 103], Operations: ['98+5=103'] Exploring Operation: 79+5=84, Resulting Numbers: [103, 84] Generated Node #3: [103, 84] from Operation: 79+5=84 Current State: 19:[103, 84], Operations: ['98+5=103', '79+5=84'] Exploring Operation: 103-84=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 35, 6, 11, 16 ]
34
[ "35*6=210", "11*16=176", "210-176=34" ]
Current State: 34:[35, 6, 11, 16], Operations: [] Exploring Operation: 35*6=210, Resulting Numbers: [11, 16, 210] Generated Node #2: [11, 16, 210] from Operation: 35*6=210 Current State: 34:[11, 16, 210], Operations: ['35*6=210'] Exploring Operation: 11*16=176, Resulting Numbers: [210, 176] Generated Node #3: [210, 176] from Operation: 11*16=176 Current State: 34:[210, 176], Operations: ['35*6=210', '11*16=176'] Exploring Operation: 210-176=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 16, 25, 54, 35 ]
29
[ "25-16=9", "54/9=6", "35-6=29" ]
Current State: 29:[16, 25, 54, 35], Operations: [] Exploring Operation: 25-16=9, Resulting Numbers: [54, 35, 9] Generated Node #2: [54, 35, 9] from Operation: 25-16=9 Current State: 29:[54, 35, 9], Operations: ['25-16=9'] Exploring Operation: 54/9=6, Resulting Numbers: [35, 6] Generated Node #3: [35, 6] from Operation: 54/9=6 Current State: 29:[35, 6], Operations: ['25-16=9', '54/9=6'] Exploring Operation: 35-6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 48, 30, 83, 98 ]
50
[ "98-83=15", "30/15=2", "48+2=50" ]
Current State: 50:[48, 30, 83, 98], Operations: [] Exploring Operation: 98-83=15, Resulting Numbers: [48, 30, 15] Generated Node #2: [48, 30, 15] from Operation: 98-83=15 Current State: 50:[48, 30, 15], Operations: ['98-83=15'] Exploring Operation: 30/15=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 30/15=2 Current State: 50:[48, 2], Operations: ['98-83=15', '30/15=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 95, 35, 6, 14 ]
68
[ "95-35=60", "14-6=8", "60+8=68" ]
Current State: 68:[95, 35, 6, 14], Operations: [] Exploring Operation: 95-35=60, Resulting Numbers: [6, 14, 60] Generated Node #2: [6, 14, 60] from Operation: 95-35=60 Current State: 68:[6, 14, 60], Operations: ['95-35=60'] Exploring Operation: 14-6=8, Resulting Numbers: [60, 8] Generated Node #3: [60, 8] from Operation: 14-6=8 Current State: 68:[60, 8], Operations: ['95-35=60', '14-6=8'] Exploring Operation: 60+8=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 47, 1, 33, 66 ]
96
[ "47+1=48", "66/33=2", "48*2=96" ]
Current State: 96:[47, 1, 33, 66], Operations: [] Exploring Operation: 47+1=48, Resulting Numbers: [33, 66, 48] Generated Node #2: [33, 66, 48] from Operation: 47+1=48 Current State: 96:[33, 66, 48], Operations: ['47+1=48'] Exploring Operation: 66/33=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 66/33=2 Current State: 96:[48, 2], Operations: ['47+1=48', '66/33=2'] Exploring Operation: 48*2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 24, 79, 25, 64 ]
14
[ "24+79=103", "25+64=89", "103-89=14" ]
Current State: 14:[24, 79, 25, 64], Operations: [] Exploring Operation: 24+79=103, Resulting Numbers: [25, 64, 103] Generated Node #2: [25, 64, 103] from Operation: 24+79=103 Current State: 14:[25, 64, 103], Operations: ['24+79=103'] Exploring Operation: 25+64=89, Resulting Numbers: [103, 89] Generated Node #3: [103, 89] from Operation: 25+64=89 Current State: 14:[103, 89], Operations: ['24+79=103', '25+64=89'] Exploring Operation: 103-89=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 62, 59, 94, 12 ]
15
[ "62+59=121", "94+12=106", "121-106=15" ]
Current State: 15:[62, 59, 94, 12], Operations: [] Exploring Operation: 62+59=121, Resulting Numbers: [94, 12, 121] Generated Node #2: [94, 12, 121] from Operation: 62+59=121 Current State: 15:[94, 12, 121], Operations: ['62+59=121'] Exploring Operation: 94+12=106, Resulting Numbers: [121, 106] Generated Node #3: [121, 106] from Operation: 94+12=106 Current State: 15:[121, 106], Operations: ['62+59=121', '94+12=106'] Exploring Operation: 121-106=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 40, 65, 95, 49 ]
38
[ "65-49=16", "95*16=1520", "1520/40=38" ]
Current State: 38:[40, 65, 95, 49], Operations: [] Exploring Operation: 65-49=16, Resulting Numbers: [40, 95, 16] Generated Node #2: [40, 95, 16] from Operation: 65-49=16 Current State: 38:[40, 95, 16], Operations: ['65-49=16'] Exploring Operation: 95*16=1520, Resulting Numbers: [40, 1520] Generated Node #3: [40, 1520] from Operation: 95*16=1520 Current State: 38:[40, 1520], Operations: ['65-49=16', '95*16=1520'] Exploring Operation: 1520/40=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 7, 68, 49, 59 ]
16
[ "49/7=7", "68-59=9", "7+9=16" ]
Current State: 16:[7, 68, 49, 59], Operations: [] Exploring Operation: 49/7=7, Resulting Numbers: [68, 59, 7] Generated Node #2: [68, 59, 7] from Operation: 49/7=7 Current State: 16:[68, 59, 7], Operations: ['49/7=7'] Exploring Operation: 68-59=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 68-59=9 Current State: 16:[7, 9], Operations: ['49/7=7', '68-59=9'] Exploring Operation: 7+9=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 73, 55, 96, 37 ]
98
[ "73+37=110", "110/55=2", "96+2=98" ]
Current State: 98:[73, 55, 96, 37], Operations: [] Exploring Operation: 73+37=110, Resulting Numbers: [55, 96, 110] Generated Node #2: [55, 96, 110] from Operation: 73+37=110 Current State: 98:[55, 96, 110], Operations: ['73+37=110'] Exploring Operation: 110/55=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 110/55=2 Current State: 98:[96, 2], Operations: ['73+37=110', '110/55=2'] Exploring Operation: 96+2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 18, 98, 17, 92 ]
41
[ "18+98=116", "92-17=75", "116-75=41" ]
Current State: 41:[18, 98, 17, 92], Operations: [] Exploring Operation: 18+98=116, Resulting Numbers: [17, 92, 116] Generated Node #2: [17, 92, 116] from Operation: 18+98=116 Current State: 41:[17, 92, 116], Operations: ['18+98=116'] Exploring Operation: 92-17=75, Resulting Numbers: [116, 75] Generated Node #3: [116, 75] from Operation: 92-17=75 Current State: 41:[116, 75], Operations: ['18+98=116', '92-17=75'] Exploring Operation: 116-75=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 4, 29, 5, 77 ]
97
[ "29-4=25", "77-5=72", "25+72=97" ]
Current State: 97:[4, 29, 5, 77], Operations: [] Exploring Operation: 29-4=25, Resulting Numbers: [5, 77, 25] Generated Node #2: [5, 77, 25] from Operation: 29-4=25 Current State: 97:[5, 77, 25], Operations: ['29-4=25'] Exploring Operation: 77-5=72, Resulting Numbers: [25, 72] Generated Node #3: [25, 72] from Operation: 77-5=72 Current State: 97:[25, 72], Operations: ['29-4=25', '77-5=72'] Exploring Operation: 25+72=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 49, 62, 5, 33 ]
68
[ "62+33=95", "95/5=19", "49+19=68" ]
Current State: 68:[49, 62, 5, 33], Operations: [] Exploring Operation: 62+33=95, Resulting Numbers: [49, 5, 95] Generated Node #2: [49, 5, 95] from Operation: 62+33=95 Current State: 68:[49, 5, 95], Operations: ['62+33=95'] Exploring Operation: 95/5=19, Resulting Numbers: [49, 19] Generated Node #3: [49, 19] from Operation: 95/5=19 Current State: 68:[49, 19], Operations: ['62+33=95', '95/5=19'] Exploring Operation: 49+19=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 25, 45, 75, 91 ]
86
[ "25+45=70", "91-75=16", "70+16=86" ]
Current State: 86:[25, 45, 75, 91], Operations: [] Exploring Operation: 25+45=70, Resulting Numbers: [75, 91, 70] Generated Node #2: [75, 91, 70] from Operation: 25+45=70 Current State: 86:[75, 91, 70], Operations: ['25+45=70'] Exploring Operation: 91-75=16, Resulting Numbers: [70, 16] Generated Node #3: [70, 16] from Operation: 91-75=16 Current State: 86:[70, 16], Operations: ['25+45=70', '91-75=16'] Exploring Operation: 70+16=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 30, 3, 18, 15 ]
43
[ "30/3=10", "18+15=33", "10+33=43" ]
Current State: 43:[30, 3, 18, 15], Operations: [] Exploring Operation: 30/3=10, Resulting Numbers: [18, 15, 10] Generated Node #2: [18, 15, 10] from Operation: 30/3=10 Current State: 43:[18, 15, 10], Operations: ['30/3=10'] Exploring Operation: 18+15=33, Resulting Numbers: [10, 33] Generated Node #3: [10, 33] from Operation: 18+15=33 Current State: 43:[10, 33], Operations: ['30/3=10', '18+15=33'] Exploring Operation: 10+33=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 15, 43, 8, 71 ]
36
[ "71-15=56", "56/8=7", "43-7=36" ]
Current State: 36:[15, 43, 8, 71], Operations: [] Exploring Operation: 71-15=56, Resulting Numbers: [43, 8, 56] Generated Node #2: [43, 8, 56] from Operation: 71-15=56 Current State: 36:[43, 8, 56], Operations: ['71-15=56'] Exploring Operation: 56/8=7, Resulting Numbers: [43, 7] Generated Node #3: [43, 7] from Operation: 56/8=7 Current State: 36:[43, 7], Operations: ['71-15=56', '56/8=7'] Exploring Operation: 43-7=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 71, 49, 8, 80 ]
49
[ "71+8=79", "80-79=1", "49*1=49" ]
Current State: 49:[71, 49, 8, 80], Operations: [] Exploring Operation: 71+8=79, Resulting Numbers: [49, 80, 79] Generated Node #2: [49, 80, 79] from Operation: 71+8=79 Current State: 49:[49, 80, 79], Operations: ['71+8=79'] Exploring Operation: 80-79=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 80-79=1 Current State: 49:[49, 1], Operations: ['71+8=79', '80-79=1'] Exploring Operation: 49*1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 27, 2, 52, 45 ]
72
[ "27-2=25", "52+45=97", "97-25=72" ]
Current State: 72:[27, 2, 52, 45], Operations: [] Exploring Operation: 27-2=25, Resulting Numbers: [52, 45, 25] Generated Node #2: [52, 45, 25] from Operation: 27-2=25 Current State: 72:[52, 45, 25], Operations: ['27-2=25'] Exploring Operation: 52+45=97, Resulting Numbers: [25, 97] Generated Node #3: [25, 97] from Operation: 52+45=97 Current State: 72:[25, 97], Operations: ['27-2=25', '52+45=97'] Exploring Operation: 97-25=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 54, 6, 55, 34 ]
98
[ "54/6=9", "55+34=89", "9+89=98" ]
Current State: 98:[54, 6, 55, 34], Operations: [] Exploring Operation: 54/6=9, Resulting Numbers: [55, 34, 9] Generated Node #2: [55, 34, 9] from Operation: 54/6=9 Current State: 98:[55, 34, 9], Operations: ['54/6=9'] Exploring Operation: 55+34=89, Resulting Numbers: [9, 89] Generated Node #3: [9, 89] from Operation: 55+34=89 Current State: 98:[9, 89], Operations: ['54/6=9', '55+34=89'] Exploring Operation: 9+89=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 26, 56, 4, 8 ]
26
[ "56-26=30", "8-4=4", "30-4=26" ]
Current State: 26:[26, 56, 4, 8], Operations: [] Exploring Operation: 56-26=30, Resulting Numbers: [4, 8, 30] Generated Node #2: [4, 8, 30] from Operation: 56-26=30 Current State: 26:[4, 8, 30], Operations: ['56-26=30'] Exploring Operation: 8-4=4, Resulting Numbers: [30, 4] Generated Node #3: [30, 4] from Operation: 8-4=4 Current State: 26:[30, 4], Operations: ['56-26=30', '8-4=4'] Exploring Operation: 30-4=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 90, 19, 60, 99 ]
47
[ "60*99=5940", "5940/90=66", "66-19=47" ]
Current State: 47:[90, 19, 60, 99], Operations: [] Exploring Operation: 60*99=5940, Resulting Numbers: [90, 19, 5940] Generated Node #2: [90, 19, 5940] from Operation: 60*99=5940 Current State: 47:[90, 19, 5940], Operations: ['60*99=5940'] Exploring Operation: 5940/90=66, Resulting Numbers: [19, 66] Generated Node #3: [19, 66] from Operation: 5940/90=66 Current State: 47:[19, 66], Operations: ['60*99=5940', '5940/90=66'] Exploring Operation: 66-19=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 64, 89, 52, 44 ]
33
[ "89-64=25", "52-44=8", "25+8=33" ]
Current State: 33:[64, 89, 52, 44], Operations: [] Exploring Operation: 89-64=25, Resulting Numbers: [52, 44, 25] Generated Node #2: [52, 44, 25] from Operation: 89-64=25 Current State: 33:[52, 44, 25], Operations: ['89-64=25'] Exploring Operation: 52-44=8, Resulting Numbers: [25, 8] Generated Node #3: [25, 8] from Operation: 52-44=8 Current State: 33:[25, 8], Operations: ['89-64=25', '52-44=8'] Exploring Operation: 25+8=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 15, 24, 57, 31 ]
49
[ "15+24=39", "57+31=88", "88-39=49" ]
Current State: 49:[15, 24, 57, 31], Operations: [] Exploring Operation: 15+24=39, Resulting Numbers: [57, 31, 39] Generated Node #2: [57, 31, 39] from Operation: 15+24=39 Current State: 49:[57, 31, 39], Operations: ['15+24=39'] Exploring Operation: 57+31=88, Resulting Numbers: [39, 88] Generated Node #3: [39, 88] from Operation: 57+31=88 Current State: 49:[39, 88], Operations: ['15+24=39', '57+31=88'] Exploring Operation: 88-39=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 15, 92, 85, 91 ]
83
[ "92-15=77", "91-85=6", "77+6=83" ]
Current State: 83:[15, 92, 85, 91], Operations: [] Exploring Operation: 92-15=77, Resulting Numbers: [85, 91, 77] Generated Node #2: [85, 91, 77] from Operation: 92-15=77 Current State: 83:[85, 91, 77], Operations: ['92-15=77'] Exploring Operation: 91-85=6, Resulting Numbers: [77, 6] Generated Node #3: [77, 6] from Operation: 91-85=6 Current State: 83:[77, 6], Operations: ['92-15=77', '91-85=6'] Exploring Operation: 77+6=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 65, 19, 89, 39 ]
82
[ "65-19=46", "89+39=128", "128-46=82" ]
Current State: 82:[65, 19, 89, 39], Operations: [] Exploring Operation: 65-19=46, Resulting Numbers: [89, 39, 46] Generated Node #2: [89, 39, 46] from Operation: 65-19=46 Current State: 82:[89, 39, 46], Operations: ['65-19=46'] Exploring Operation: 89+39=128, Resulting Numbers: [46, 128] Generated Node #3: [46, 128] from Operation: 89+39=128 Current State: 82:[46, 128], Operations: ['65-19=46', '89+39=128'] Exploring Operation: 128-46=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 71, 65, 12, 78 ]
80
[ "71-65=6", "12/6=2", "78+2=80" ]
Current State: 80:[71, 65, 12, 78], Operations: [] Exploring Operation: 71-65=6, Resulting Numbers: [12, 78, 6] Generated Node #2: [12, 78, 6] from Operation: 71-65=6 Current State: 80:[12, 78, 6], Operations: ['71-65=6'] Exploring Operation: 12/6=2, Resulting Numbers: [78, 2] Generated Node #3: [78, 2] from Operation: 12/6=2 Current State: 80:[78, 2], Operations: ['71-65=6', '12/6=2'] Exploring Operation: 78+2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 36, 20, 5, 45 ]
35
[ "36-20=16", "5*16=80", "80-45=35" ]
Current State: 35:[36, 20, 5, 45], Operations: [] Exploring Operation: 36-20=16, Resulting Numbers: [5, 45, 16] Generated Node #2: [5, 45, 16] from Operation: 36-20=16 Current State: 35:[5, 45, 16], Operations: ['36-20=16'] Exploring Operation: 5*16=80, Resulting Numbers: [45, 80] Generated Node #3: [45, 80] from Operation: 5*16=80 Current State: 35:[45, 80], Operations: ['36-20=16', '5*16=80'] Exploring Operation: 80-45=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 9, 94, 52, 22 ]
90
[ "22-9=13", "52/13=4", "94-4=90" ]
Current State: 90:[9, 94, 52, 22], Operations: [] Exploring Operation: 22-9=13, Resulting Numbers: [94, 52, 13] Generated Node #2: [94, 52, 13] from Operation: 22-9=13 Current State: 90:[94, 52, 13], Operations: ['22-9=13'] Exploring Operation: 52/13=4, Resulting Numbers: [94, 4] Generated Node #3: [94, 4] from Operation: 52/13=4 Current State: 90:[94, 4], Operations: ['22-9=13', '52/13=4'] Exploring Operation: 94-4=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 23, 54, 99, 81 ]
89
[ "54*99=5346", "5346/81=66", "23+66=89" ]
Current State: 89:[23, 54, 99, 81], Operations: [] Exploring Operation: 54*99=5346, Resulting Numbers: [23, 81, 5346] Generated Node #2: [23, 81, 5346] from Operation: 54*99=5346 Current State: 89:[23, 81, 5346], Operations: ['54*99=5346'] Exploring Operation: 5346/81=66, Resulting Numbers: [23, 66] Generated Node #3: [23, 66] from Operation: 5346/81=66 Current State: 89:[23, 66], Operations: ['54*99=5346', '5346/81=66'] Exploring Operation: 23+66=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 56, 1, 8, 92 ]
100
[ "56/8=7", "1+92=93", "7+93=100" ]
Current State: 100:[56, 1, 8, 92], Operations: [] Exploring Operation: 56/8=7, Resulting Numbers: [1, 92, 7] Generated Node #2: [1, 92, 7] from Operation: 56/8=7 Current State: 100:[1, 92, 7], Operations: ['56/8=7'] Exploring Operation: 1+92=93, Resulting Numbers: [7, 93] Generated Node #3: [7, 93] from Operation: 1+92=93 Current State: 100:[7, 93], Operations: ['56/8=7', '1+92=93'] Exploring Operation: 7+93=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 32, 44, 49, 6 ]
55
[ "44-32=12", "49-6=43", "12+43=55" ]
Current State: 55:[32, 44, 49, 6], Operations: [] Exploring Operation: 44-32=12, Resulting Numbers: [49, 6, 12] Generated Node #2: [49, 6, 12] from Operation: 44-32=12 Current State: 55:[49, 6, 12], Operations: ['44-32=12'] Exploring Operation: 49-6=43, Resulting Numbers: [12, 43] Generated Node #3: [12, 43] from Operation: 49-6=43 Current State: 55:[12, 43], Operations: ['44-32=12', '49-6=43'] Exploring Operation: 12+43=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 55, 88, 5, 4 ]
42
[ "88-55=33", "5+4=9", "33+9=42" ]
Current State: 42:[55, 88, 5, 4], Operations: [] Exploring Operation: 88-55=33, Resulting Numbers: [5, 4, 33] Generated Node #2: [5, 4, 33] from Operation: 88-55=33 Current State: 42:[5, 4, 33], Operations: ['88-55=33'] Exploring Operation: 5+4=9, Resulting Numbers: [33, 9] Generated Node #3: [33, 9] from Operation: 5+4=9 Current State: 42:[33, 9], Operations: ['88-55=33', '5+4=9'] Exploring Operation: 33+9=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 45, 81, 18, 32 ]
76
[ "45+81=126", "18+32=50", "126-50=76" ]
Current State: 76:[45, 81, 18, 32], Operations: [] Exploring Operation: 45+81=126, Resulting Numbers: [18, 32, 126] Generated Node #2: [18, 32, 126] from Operation: 45+81=126 Current State: 76:[18, 32, 126], Operations: ['45+81=126'] Exploring Operation: 18+32=50, Resulting Numbers: [126, 50] Generated Node #3: [126, 50] from Operation: 18+32=50 Current State: 76:[126, 50], Operations: ['45+81=126', '18+32=50'] Exploring Operation: 126-50=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 12, 32, 42, 21 ]
91
[ "32*42=1344", "1344/12=112", "112-21=91" ]
Current State: 91:[12, 32, 42, 21], Operations: [] Exploring Operation: 32*42=1344, Resulting Numbers: [12, 21, 1344] Generated Node #2: [12, 21, 1344] from Operation: 32*42=1344 Current State: 91:[12, 21, 1344], Operations: ['32*42=1344'] Exploring Operation: 1344/12=112, Resulting Numbers: [21, 112] Generated Node #3: [21, 112] from Operation: 1344/12=112 Current State: 91:[21, 112], Operations: ['32*42=1344', '1344/12=112'] Exploring Operation: 112-21=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 53, 36, 11, 46 ]
18
[ "53-36=17", "46-11=35", "35-17=18" ]
Current State: 18:[53, 36, 11, 46], Operations: [] Exploring Operation: 53-36=17, Resulting Numbers: [11, 46, 17] Generated Node #2: [11, 46, 17] from Operation: 53-36=17 Current State: 18:[11, 46, 17], Operations: ['53-36=17'] Exploring Operation: 46-11=35, Resulting Numbers: [17, 35] Generated Node #3: [17, 35] from Operation: 46-11=35 Current State: 18:[17, 35], Operations: ['53-36=17', '46-11=35'] Exploring Operation: 35-17=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 13, 70, 85, 10 ]
20
[ "13+70=83", "85-83=2", "10*2=20" ]
Current State: 20:[13, 70, 85, 10], Operations: [] Exploring Operation: 13+70=83, Resulting Numbers: [85, 10, 83] Generated Node #2: [85, 10, 83] from Operation: 13+70=83 Current State: 20:[85, 10, 83], Operations: ['13+70=83'] Exploring Operation: 85-83=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 85-83=2 Current State: 20:[10, 2], Operations: ['13+70=83', '85-83=2'] Exploring Operation: 10*2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 90, 71, 95, 97 ]
17
[ "90-71=19", "97-95=2", "19-2=17" ]
Current State: 17:[90, 71, 95, 97], Operations: [] Exploring Operation: 90-71=19, Resulting Numbers: [95, 97, 19] Generated Node #2: [95, 97, 19] from Operation: 90-71=19 Current State: 17:[95, 97, 19], Operations: ['90-71=19'] Exploring Operation: 97-95=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 97-95=2 Current State: 17:[19, 2], Operations: ['90-71=19', '97-95=2'] Exploring Operation: 19-2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 23, 63, 74, 70 ]
10
[ "63-23=40", "74-70=4", "40/4=10" ]
Current State: 10:[23, 63, 74, 70], Operations: [] Exploring Operation: 63-23=40, Resulting Numbers: [74, 70, 40] Generated Node #2: [74, 70, 40] from Operation: 63-23=40 Current State: 10:[74, 70, 40], Operations: ['63-23=40'] Exploring Operation: 74-70=4, Resulting Numbers: [40, 4] Generated Node #3: [40, 4] from Operation: 74-70=4 Current State: 10:[40, 4], Operations: ['63-23=40', '74-70=4'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 3, 15, 95, 41 ]
43
[ "3*41=123", "95-15=80", "123-80=43" ]
Current State: 43:[3, 15, 95, 41], Operations: [] Exploring Operation: 3*41=123, Resulting Numbers: [15, 95, 123] Generated Node #2: [15, 95, 123] from Operation: 3*41=123 Current State: 43:[15, 95, 123], Operations: ['3*41=123'] Exploring Operation: 95-15=80, Resulting Numbers: [123, 80] Generated Node #3: [123, 80] from Operation: 95-15=80 Current State: 43:[123, 80], Operations: ['3*41=123', '95-15=80'] Exploring Operation: 123-80=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 74, 71, 59, 50 ]
27
[ "74-71=3", "59-50=9", "3*9=27" ]
Current State: 27:[74, 71, 59, 50], Operations: [] Exploring Operation: 74-71=3, Resulting Numbers: [59, 50, 3] Generated Node #2: [59, 50, 3] from Operation: 74-71=3 Current State: 27:[59, 50, 3], Operations: ['74-71=3'] Exploring Operation: 59-50=9, Resulting Numbers: [3, 9] Generated Node #3: [3, 9] from Operation: 59-50=9 Current State: 27:[3, 9], Operations: ['74-71=3', '59-50=9'] Exploring Operation: 3*9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 40, 9, 46, 10 ]
33
[ "40/10=4", "46-9=37", "37-4=33" ]
Current State: 33:[40, 9, 46, 10], Operations: [] Exploring Operation: 40/10=4, Resulting Numbers: [9, 46, 4] Generated Node #2: [9, 46, 4] from Operation: 40/10=4 Current State: 33:[9, 46, 4], Operations: ['40/10=4'] Exploring Operation: 46-9=37, Resulting Numbers: [4, 37] Generated Node #3: [4, 37] from Operation: 46-9=37 Current State: 33:[4, 37], Operations: ['40/10=4', '46-9=37'] Exploring Operation: 37-4=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 42, 18, 31, 9 ]
81
[ "42-31=11", "9*11=99", "99-18=81" ]
Current State: 81:[42, 18, 31, 9], Operations: [] Exploring Operation: 42-31=11, Resulting Numbers: [18, 9, 11] Generated Node #2: [18, 9, 11] from Operation: 42-31=11 Current State: 81:[18, 9, 11], Operations: ['42-31=11'] Exploring Operation: 9*11=99, Resulting Numbers: [18, 99] Generated Node #3: [18, 99] from Operation: 9*11=99 Current State: 81:[18, 99], Operations: ['42-31=11', '9*11=99'] Exploring Operation: 99-18=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 21, 36, 58, 6 ]
49
[ "36-21=15", "58+6=64", "64-15=49" ]
Current State: 49:[21, 36, 58, 6], Operations: [] Exploring Operation: 36-21=15, Resulting Numbers: [58, 6, 15] Generated Node #2: [58, 6, 15] from Operation: 36-21=15 Current State: 49:[58, 6, 15], Operations: ['36-21=15'] Exploring Operation: 58+6=64, Resulting Numbers: [15, 64] Generated Node #3: [15, 64] from Operation: 58+6=64 Current State: 49:[15, 64], Operations: ['36-21=15', '58+6=64'] Exploring Operation: 64-15=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 78, 33, 16, 34 ]
93
[ "78+33=111", "34-16=18", "111-18=93" ]
Current State: 93:[78, 33, 16, 34], Operations: [] Exploring Operation: 78+33=111, Resulting Numbers: [16, 34, 111] Generated Node #2: [16, 34, 111] from Operation: 78+33=111 Current State: 93:[16, 34, 111], Operations: ['78+33=111'] Exploring Operation: 34-16=18, Resulting Numbers: [111, 18] Generated Node #3: [111, 18] from Operation: 34-16=18 Current State: 93:[111, 18], Operations: ['78+33=111', '34-16=18'] Exploring Operation: 111-18=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 93, 2, 21, 89 ]
23
[ "93-2=91", "89-21=68", "91-68=23" ]
Current State: 23:[93, 2, 21, 89], Operations: [] Exploring Operation: 93-2=91, Resulting Numbers: [21, 89, 91] Generated Node #2: [21, 89, 91] from Operation: 93-2=91 Current State: 23:[21, 89, 91], Operations: ['93-2=91'] Exploring Operation: 89-21=68, Resulting Numbers: [91, 68] Generated Node #3: [91, 68] from Operation: 89-21=68 Current State: 23:[91, 68], Operations: ['93-2=91', '89-21=68'] Exploring Operation: 91-68=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 63, 47, 90, 81 ]
44
[ "90-63=27", "81/27=3", "47-3=44" ]
Current State: 44:[63, 47, 90, 81], Operations: [] Exploring Operation: 90-63=27, Resulting Numbers: [47, 81, 27] Generated Node #2: [47, 81, 27] from Operation: 90-63=27 Current State: 44:[47, 81, 27], Operations: ['90-63=27'] Exploring Operation: 81/27=3, Resulting Numbers: [47, 3] Generated Node #3: [47, 3] from Operation: 81/27=3 Current State: 44:[47, 3], Operations: ['90-63=27', '81/27=3'] Exploring Operation: 47-3=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 67, 25, 95, 38 ]
41
[ "67+25=92", "95+38=133", "133-92=41" ]
Current State: 41:[67, 25, 95, 38], Operations: [] Exploring Operation: 67+25=92, Resulting Numbers: [95, 38, 92] Generated Node #2: [95, 38, 92] from Operation: 67+25=92 Current State: 41:[95, 38, 92], Operations: ['67+25=92'] Exploring Operation: 95+38=133, Resulting Numbers: [92, 133] Generated Node #3: [92, 133] from Operation: 95+38=133 Current State: 41:[92, 133], Operations: ['67+25=92', '95+38=133'] Exploring Operation: 133-92=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 70, 27, 17, 15 ]
62
[ "17-15=2", "70/2=35", "27+35=62" ]
Current State: 62:[70, 27, 17, 15], Operations: [] Exploring Operation: 17-15=2, Resulting Numbers: [70, 27, 2] Generated Node #2: [70, 27, 2] from Operation: 17-15=2 Current State: 62:[70, 27, 2], Operations: ['17-15=2'] Exploring Operation: 70/2=35, Resulting Numbers: [27, 35] Generated Node #3: [27, 35] from Operation: 70/2=35 Current State: 62:[27, 35], Operations: ['17-15=2', '70/2=35'] Exploring Operation: 27+35=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 30, 71, 15, 1 ]
57
[ "71-30=41", "15+1=16", "41+16=57" ]
Current State: 57:[30, 71, 15, 1], Operations: [] Exploring Operation: 71-30=41, Resulting Numbers: [15, 1, 41] Generated Node #2: [15, 1, 41] from Operation: 71-30=41 Current State: 57:[15, 1, 41], Operations: ['71-30=41'] Exploring Operation: 15+1=16, Resulting Numbers: [41, 16] Generated Node #3: [41, 16] from Operation: 15+1=16 Current State: 57:[41, 16], Operations: ['71-30=41', '15+1=16'] Exploring Operation: 41+16=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 94, 19, 89, 33 ]
70
[ "94-89=5", "33-19=14", "5*14=70" ]
Current State: 70:[94, 19, 89, 33], Operations: [] Exploring Operation: 94-89=5, Resulting Numbers: [19, 33, 5] Generated Node #2: [19, 33, 5] from Operation: 94-89=5 Current State: 70:[19, 33, 5], Operations: ['94-89=5'] Exploring Operation: 33-19=14, Resulting Numbers: [5, 14] Generated Node #3: [5, 14] from Operation: 33-19=14 Current State: 70:[5, 14], Operations: ['94-89=5', '33-19=14'] Exploring Operation: 5*14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 46, 11, 56, 42 ]
42
[ "46+11=57", "57-56=1", "42*1=42" ]
Current State: 42:[46, 11, 56, 42], Operations: [] Exploring Operation: 46+11=57, Resulting Numbers: [56, 42, 57] Generated Node #2: [56, 42, 57] from Operation: 46+11=57 Current State: 42:[56, 42, 57], Operations: ['46+11=57'] Exploring Operation: 57-56=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 57-56=1 Current State: 42:[42, 1], Operations: ['46+11=57', '57-56=1'] Exploring Operation: 42*1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 3, 10, 5, 92 ]
17
[ "10-3=7", "92-7=85", "85/5=17" ]
Current State: 17:[3, 10, 5, 92], Operations: [] Exploring Operation: 10-3=7, Resulting Numbers: [5, 92, 7] Generated Node #2: [5, 92, 7] from Operation: 10-3=7 Current State: 17:[5, 92, 7], Operations: ['10-3=7'] Exploring Operation: 92-7=85, Resulting Numbers: [5, 85] Generated Node #3: [5, 85] from Operation: 92-7=85 Current State: 17:[5, 85], Operations: ['10-3=7', '92-7=85'] Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 19, 47, 85, 38 ]
95
[ "47-19=28", "85+38=123", "123-28=95" ]
Current State: 95:[19, 47, 85, 38], Operations: [] Exploring Operation: 47-19=28, Resulting Numbers: [85, 38, 28] Generated Node #2: [85, 38, 28] from Operation: 47-19=28 Current State: 95:[85, 38, 28], Operations: ['47-19=28'] Exploring Operation: 85+38=123, Resulting Numbers: [28, 123] Generated Node #3: [28, 123] from Operation: 85+38=123 Current State: 95:[28, 123], Operations: ['47-19=28', '85+38=123'] Exploring Operation: 123-28=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 96, 16, 35, 19 ]
96
[ "96+16=112", "35-19=16", "112-16=96" ]
Current State: 96:[96, 16, 35, 19], Operations: [] Exploring Operation: 96+16=112, Resulting Numbers: [35, 19, 112] Generated Node #2: [35, 19, 112] from Operation: 96+16=112 Current State: 96:[35, 19, 112], Operations: ['96+16=112'] Exploring Operation: 35-19=16, Resulting Numbers: [112, 16] Generated Node #3: [112, 16] from Operation: 35-19=16 Current State: 96:[112, 16], Operations: ['96+16=112', '35-19=16'] Exploring Operation: 112-16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 73, 55, 71, 24 ]
62
[ "73-71=2", "55-24=31", "2*31=62" ]
Current State: 62:[73, 55, 71, 24], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [55, 24, 2] Generated Node #2: [55, 24, 2] from Operation: 73-71=2 Current State: 62:[55, 24, 2], Operations: ['73-71=2'] Exploring Operation: 55-24=31, Resulting Numbers: [2, 31] Generated Node #3: [2, 31] from Operation: 55-24=31 Current State: 62:[2, 31], Operations: ['73-71=2', '55-24=31'] Exploring Operation: 2*31=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 92, 54, 79, 88 ]
47
[ "92-54=38", "88-79=9", "38+9=47" ]
Current State: 47:[92, 54, 79, 88], Operations: [] Exploring Operation: 92-54=38, Resulting Numbers: [79, 88, 38] Generated Node #2: [79, 88, 38] from Operation: 92-54=38 Current State: 47:[79, 88, 38], Operations: ['92-54=38'] Exploring Operation: 88-79=9, Resulting Numbers: [38, 9] Generated Node #3: [38, 9] from Operation: 88-79=9 Current State: 47:[38, 9], Operations: ['92-54=38', '88-79=9'] Exploring Operation: 38+9=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 35, 46, 83, 23 ]
21
[ "35+46=81", "83-23=60", "81-60=21" ]
Current State: 21:[35, 46, 83, 23], Operations: [] Exploring Operation: 35+46=81, Resulting Numbers: [83, 23, 81] Generated Node #2: [83, 23, 81] from Operation: 35+46=81 Current State: 21:[83, 23, 81], Operations: ['35+46=81'] Exploring Operation: 83-23=60, Resulting Numbers: [81, 60] Generated Node #3: [81, 60] from Operation: 83-23=60 Current State: 21:[81, 60], Operations: ['35+46=81', '83-23=60'] Exploring Operation: 81-60=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 7, 62, 39, 3 ]
44
[ "7*3=21", "62-39=23", "21+23=44" ]
Current State: 44:[7, 62, 39, 3], Operations: [] Exploring Operation: 7*3=21, Resulting Numbers: [62, 39, 21] Generated Node #2: [62, 39, 21] from Operation: 7*3=21 Current State: 44:[62, 39, 21], Operations: ['7*3=21'] Exploring Operation: 62-39=23, Resulting Numbers: [21, 23] Generated Node #3: [21, 23] from Operation: 62-39=23 Current State: 44:[21, 23], Operations: ['7*3=21', '62-39=23'] Exploring Operation: 21+23=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 56, 2, 52, 20 ]
60
[ "56/2=28", "52-20=32", "28+32=60" ]
Current State: 60:[56, 2, 52, 20], Operations: [] Exploring Operation: 56/2=28, Resulting Numbers: [52, 20, 28] Generated Node #2: [52, 20, 28] from Operation: 56/2=28 Current State: 60:[52, 20, 28], Operations: ['56/2=28'] Exploring Operation: 52-20=32, Resulting Numbers: [28, 32] Generated Node #3: [28, 32] from Operation: 52-20=32 Current State: 60:[28, 32], Operations: ['56/2=28', '52-20=32'] Exploring Operation: 28+32=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 89, 11, 17, 21 ]
45
[ "21-17=4", "11*4=44", "89-44=45" ]
Current State: 45:[89, 11, 17, 21], Operations: [] Exploring Operation: 21-17=4, Resulting Numbers: [89, 11, 4] Generated Node #2: [89, 11, 4] from Operation: 21-17=4 Current State: 45:[89, 11, 4], Operations: ['21-17=4'] Exploring Operation: 11*4=44, Resulting Numbers: [89, 44] Generated Node #3: [89, 44] from Operation: 11*4=44 Current State: 45:[89, 44], Operations: ['21-17=4', '11*4=44'] Exploring Operation: 89-44=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 27, 89, 28, 97 ]
63
[ "89-27=62", "28+97=125", "125-62=63" ]
Current State: 63:[27, 89, 28, 97], Operations: [] Exploring Operation: 89-27=62, Resulting Numbers: [28, 97, 62] Generated Node #2: [28, 97, 62] from Operation: 89-27=62 Current State: 63:[28, 97, 62], Operations: ['89-27=62'] Exploring Operation: 28+97=125, Resulting Numbers: [62, 125] Generated Node #3: [62, 125] from Operation: 28+97=125 Current State: 63:[62, 125], Operations: ['89-27=62', '28+97=125'] Exploring Operation: 125-62=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 94, 89, 72, 96 ]
19
[ "94-89=5", "96-72=24", "24-5=19" ]
Current State: 19:[94, 89, 72, 96], Operations: [] Exploring Operation: 94-89=5, Resulting Numbers: [72, 96, 5] Generated Node #2: [72, 96, 5] from Operation: 94-89=5 Current State: 19:[72, 96, 5], Operations: ['94-89=5'] Exploring Operation: 96-72=24, Resulting Numbers: [5, 24] Generated Node #3: [5, 24] from Operation: 96-72=24 Current State: 19:[5, 24], Operations: ['94-89=5', '96-72=24'] Exploring Operation: 24-5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 17, 80, 70, 66 ]
39
[ "17+80=97", "70+66=136", "136-97=39" ]
Current State: 39:[17, 80, 70, 66], Operations: [] Exploring Operation: 17+80=97, Resulting Numbers: [70, 66, 97] Generated Node #2: [70, 66, 97] from Operation: 17+80=97 Current State: 39:[70, 66, 97], Operations: ['17+80=97'] Exploring Operation: 70+66=136, Resulting Numbers: [97, 136] Generated Node #3: [97, 136] from Operation: 70+66=136 Current State: 39:[97, 136], Operations: ['17+80=97', '70+66=136'] Exploring Operation: 136-97=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 80, 67, 54, 79 ]
38
[ "80-67=13", "79-54=25", "13+25=38" ]
Current State: 38:[80, 67, 54, 79], Operations: [] Exploring Operation: 80-67=13, Resulting Numbers: [54, 79, 13] Generated Node #2: [54, 79, 13] from Operation: 80-67=13 Current State: 38:[54, 79, 13], Operations: ['80-67=13'] Exploring Operation: 79-54=25, Resulting Numbers: [13, 25] Generated Node #3: [13, 25] from Operation: 79-54=25 Current State: 38:[13, 25], Operations: ['80-67=13', '79-54=25'] Exploring Operation: 13+25=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 91, 95, 2, 93 ]
99
[ "95-91=4", "2+93=95", "4+95=99" ]
Current State: 99:[91, 95, 2, 93], Operations: [] Exploring Operation: 95-91=4, Resulting Numbers: [2, 93, 4] Generated Node #2: [2, 93, 4] from Operation: 95-91=4 Current State: 99:[2, 93, 4], Operations: ['95-91=4'] Exploring Operation: 2+93=95, Resulting Numbers: [4, 95] Generated Node #3: [4, 95] from Operation: 2+93=95 Current State: 99:[4, 95], Operations: ['95-91=4', '2+93=95'] Exploring Operation: 4+95=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 89, 87, 20, 4 ]
82
[ "89-87=2", "20*4=80", "2+80=82" ]
Current State: 82:[89, 87, 20, 4], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [20, 4, 2] Generated Node #2: [20, 4, 2] from Operation: 89-87=2 Current State: 82:[20, 4, 2], Operations: ['89-87=2'] Exploring Operation: 20*4=80, Resulting Numbers: [2, 80] Generated Node #3: [2, 80] from Operation: 20*4=80 Current State: 82:[2, 80], Operations: ['89-87=2', '20*4=80'] Exploring Operation: 2+80=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 55, 72, 59, 66 ]
84
[ "59-55=4", "72/4=18", "66+18=84" ]
Current State: 84:[55, 72, 59, 66], Operations: [] Exploring Operation: 59-55=4, Resulting Numbers: [72, 66, 4] Generated Node #2: [72, 66, 4] from Operation: 59-55=4 Current State: 84:[72, 66, 4], Operations: ['59-55=4'] Exploring Operation: 72/4=18, Resulting Numbers: [66, 18] Generated Node #3: [66, 18] from Operation: 72/4=18 Current State: 84:[66, 18], Operations: ['59-55=4', '72/4=18'] Exploring Operation: 66+18=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 22, 83, 84, 28 ]
69
[ "28-22=6", "84/6=14", "83-14=69" ]
Current State: 69:[22, 83, 84, 28], Operations: [] Exploring Operation: 28-22=6, Resulting Numbers: [83, 84, 6] Generated Node #2: [83, 84, 6] from Operation: 28-22=6 Current State: 69:[83, 84, 6], Operations: ['28-22=6'] Exploring Operation: 84/6=14, Resulting Numbers: [83, 14] Generated Node #3: [83, 14] from Operation: 84/6=14 Current State: 69:[83, 14], Operations: ['28-22=6', '84/6=14'] Exploring Operation: 83-14=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 22, 8, 4, 28 ]
29
[ "8-4=4", "28/4=7", "22+7=29" ]
Current State: 29:[22, 8, 4, 28], Operations: [] Exploring Operation: 8-4=4, Resulting Numbers: [22, 28, 4] Generated Node #2: [22, 28, 4] from Operation: 8-4=4 Current State: 29:[22, 28, 4], Operations: ['8-4=4'] Exploring Operation: 28/4=7, Resulting Numbers: [22, 7] Generated Node #3: [22, 7] from Operation: 28/4=7 Current State: 29:[22, 7], Operations: ['8-4=4', '28/4=7'] Exploring Operation: 22+7=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 46, 32, 27, 29 ]
30
[ "29-27=2", "32/2=16", "46-16=30" ]
Current State: 30:[46, 32, 27, 29], Operations: [] Exploring Operation: 29-27=2, Resulting Numbers: [46, 32, 2] Generated Node #2: [46, 32, 2] from Operation: 29-27=2 Current State: 30:[46, 32, 2], Operations: ['29-27=2'] Exploring Operation: 32/2=16, Resulting Numbers: [46, 16] Generated Node #3: [46, 16] from Operation: 32/2=16 Current State: 30:[46, 16], Operations: ['29-27=2', '32/2=16'] Exploring Operation: 46-16=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 5, 27, 78, 62 ]
83
[ "27+78=105", "105/5=21", "62+21=83" ]
Current State: 83:[5, 27, 78, 62], Operations: [] Exploring Operation: 27+78=105, Resulting Numbers: [5, 62, 105] Generated Node #2: [5, 62, 105] from Operation: 27+78=105 Current State: 83:[5, 62, 105], Operations: ['27+78=105'] Exploring Operation: 105/5=21, Resulting Numbers: [62, 21] Generated Node #3: [62, 21] from Operation: 105/5=21 Current State: 83:[62, 21], Operations: ['27+78=105', '105/5=21'] Exploring Operation: 62+21=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 68, 6, 57, 19 ]
100
[ "68-6=62", "57-19=38", "62+38=100" ]
Current State: 100:[68, 6, 57, 19], Operations: [] Exploring Operation: 68-6=62, Resulting Numbers: [57, 19, 62] Generated Node #2: [57, 19, 62] from Operation: 68-6=62 Current State: 100:[57, 19, 62], Operations: ['68-6=62'] Exploring Operation: 57-19=38, Resulting Numbers: [62, 38] Generated Node #3: [62, 38] from Operation: 57-19=38 Current State: 100:[62, 38], Operations: ['68-6=62', '57-19=38'] Exploring Operation: 62+38=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 9, 71, 71, 97 ]
97
[ "71-71=0", "9*0=0", "97+0=97" ]
Current State: 97:[9, 71, 71, 97], Operations: [] Exploring Operation: 71-71=0, Resulting Numbers: [9, 97, 0] Generated Node #2: [9, 97, 0] from Operation: 71-71=0 Current State: 97:[9, 97, 0], Operations: ['71-71=0'] Exploring Operation: 9*0=0, Resulting Numbers: [97, 0] Generated Node #3: [97, 0] from Operation: 9*0=0 Current State: 97:[97, 0], Operations: ['71-71=0', '9*0=0'] Exploring Operation: 97+0=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 70, 35, 24, 59 ]
94
[ "70/35=2", "59*2=118", "118-24=94" ]
Current State: 94:[70, 35, 24, 59], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [24, 59, 2] Generated Node #2: [24, 59, 2] from Operation: 70/35=2 Current State: 94:[24, 59, 2], Operations: ['70/35=2'] Exploring Operation: 59*2=118, Resulting Numbers: [24, 118] Generated Node #3: [24, 118] from Operation: 59*2=118 Current State: 94:[24, 118], Operations: ['70/35=2', '59*2=118'] Exploring Operation: 118-24=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 85, 44, 42, 72 ]
15
[ "85+44=129", "42+72=114", "129-114=15" ]
Current State: 15:[85, 44, 42, 72], Operations: [] Exploring Operation: 85+44=129, Resulting Numbers: [42, 72, 129] Generated Node #2: [42, 72, 129] from Operation: 85+44=129 Current State: 15:[42, 72, 129], Operations: ['85+44=129'] Exploring Operation: 42+72=114, Resulting Numbers: [129, 114] Generated Node #3: [129, 114] from Operation: 42+72=114 Current State: 15:[129, 114], Operations: ['85+44=129', '42+72=114'] Exploring Operation: 129-114=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 27, 33, 79, 6 ]
92
[ "27+79=106", "33*6=198", "198-106=92" ]
Current State: 92:[27, 33, 79, 6], Operations: [] Exploring Operation: 27+79=106, Resulting Numbers: [33, 6, 106] Generated Node #2: [33, 6, 106] from Operation: 27+79=106 Current State: 92:[33, 6, 106], Operations: ['27+79=106'] Exploring Operation: 33*6=198, Resulting Numbers: [106, 198] Generated Node #3: [106, 198] from Operation: 33*6=198 Current State: 92:[106, 198], Operations: ['27+79=106', '33*6=198'] Exploring Operation: 198-106=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 88, 5, 4, 64 ]
67
[ "88-5=83", "64/4=16", "83-16=67" ]
Current State: 67:[88, 5, 4, 64], Operations: [] Exploring Operation: 88-5=83, Resulting Numbers: [4, 64, 83] Generated Node #2: [4, 64, 83] from Operation: 88-5=83 Current State: 67:[4, 64, 83], Operations: ['88-5=83'] Exploring Operation: 64/4=16, Resulting Numbers: [83, 16] Generated Node #3: [83, 16] from Operation: 64/4=16 Current State: 67:[83, 16], Operations: ['88-5=83', '64/4=16'] Exploring Operation: 83-16=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 46, 8, 32, 88 ]
31
[ "32+88=120", "120/8=15", "46-15=31" ]
Current State: 31:[46, 8, 32, 88], Operations: [] Exploring Operation: 32+88=120, Resulting Numbers: [46, 8, 120] Generated Node #2: [46, 8, 120] from Operation: 32+88=120 Current State: 31:[46, 8, 120], Operations: ['32+88=120'] Exploring Operation: 120/8=15, Resulting Numbers: [46, 15] Generated Node #3: [46, 15] from Operation: 120/8=15 Current State: 31:[46, 15], Operations: ['32+88=120', '120/8=15'] Exploring Operation: 46-15=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 38, 8, 10, 36 ]
52
[ "38*10=380", "36+380=416", "416/8=52" ]
Current State: 52:[38, 8, 10, 36], Operations: [] Exploring Operation: 38*10=380, Resulting Numbers: [8, 36, 380] Generated Node #2: [8, 36, 380] from Operation: 38*10=380 Current State: 52:[8, 36, 380], Operations: ['38*10=380'] Exploring Operation: 36+380=416, Resulting Numbers: [8, 416] Generated Node #3: [8, 416] from Operation: 36+380=416 Current State: 52:[8, 416], Operations: ['38*10=380', '36+380=416'] Exploring Operation: 416/8=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 99, 68, 89, 40 ]
80
[ "99-68=31", "89-40=49", "31+49=80" ]
Current State: 80:[99, 68, 89, 40], Operations: [] Exploring Operation: 99-68=31, Resulting Numbers: [89, 40, 31] Generated Node #2: [89, 40, 31] from Operation: 99-68=31 Current State: 80:[89, 40, 31], Operations: ['99-68=31'] Exploring Operation: 89-40=49, Resulting Numbers: [31, 49] Generated Node #3: [31, 49] from Operation: 89-40=49 Current State: 80:[31, 49], Operations: ['99-68=31', '89-40=49'] Exploring Operation: 31+49=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 39, 52, 11, 3 ]
44
[ "39/3=13", "52*11=572", "572/13=44" ]
Current State: 44:[39, 52, 11, 3], Operations: [] Exploring Operation: 39/3=13, Resulting Numbers: [52, 11, 13] Generated Node #2: [52, 11, 13] from Operation: 39/3=13 Current State: 44:[52, 11, 13], Operations: ['39/3=13'] Exploring Operation: 52*11=572, Resulting Numbers: [13, 572] Generated Node #3: [13, 572] from Operation: 52*11=572 Current State: 44:[13, 572], Operations: ['39/3=13', '52*11=572'] Exploring Operation: 572/13=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 54, 34, 58, 25 ]
36
[ "58-54=4", "34-25=9", "4*9=36" ]
Current State: 36:[54, 34, 58, 25], Operations: [] Exploring Operation: 58-54=4, Resulting Numbers: [34, 25, 4] Generated Node #2: [34, 25, 4] from Operation: 58-54=4 Current State: 36:[34, 25, 4], Operations: ['58-54=4'] Exploring Operation: 34-25=9, Resulting Numbers: [4, 9] Generated Node #3: [4, 9] from Operation: 34-25=9 Current State: 36:[4, 9], Operations: ['58-54=4', '34-25=9'] Exploring Operation: 4*9=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 34, 38, 86, 88 ]
53
[ "88-86=2", "38/2=19", "34+19=53" ]
Current State: 53:[34, 38, 86, 88], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [34, 38, 2] Generated Node #2: [34, 38, 2] from Operation: 88-86=2 Current State: 53:[34, 38, 2], Operations: ['88-86=2'] Exploring Operation: 38/2=19, Resulting Numbers: [34, 19] Generated Node #3: [34, 19] from Operation: 38/2=19 Current State: 53:[34, 19], Operations: ['88-86=2', '38/2=19'] Exploring Operation: 34+19=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 75, 21, 24, 16 ]
14
[ "75-21=54", "24+16=40", "54-40=14" ]
Current State: 14:[75, 21, 24, 16], Operations: [] Exploring Operation: 75-21=54, Resulting Numbers: [24, 16, 54] Generated Node #2: [24, 16, 54] from Operation: 75-21=54 Current State: 14:[24, 16, 54], Operations: ['75-21=54'] Exploring Operation: 24+16=40, Resulting Numbers: [54, 40] Generated Node #3: [54, 40] from Operation: 24+16=40 Current State: 14:[54, 40], Operations: ['75-21=54', '24+16=40'] Exploring Operation: 54-40=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 48, 20, 67, 93 ]
40
[ "67+93=160", "160/20=8", "48-8=40" ]
Current State: 40:[48, 20, 67, 93], Operations: [] Exploring Operation: 67+93=160, Resulting Numbers: [48, 20, 160] Generated Node #2: [48, 20, 160] from Operation: 67+93=160 Current State: 40:[48, 20, 160], Operations: ['67+93=160'] Exploring Operation: 160/20=8, Resulting Numbers: [48, 8] Generated Node #3: [48, 8] from Operation: 160/20=8 Current State: 40:[48, 8], Operations: ['67+93=160', '160/20=8'] Exploring Operation: 48-8=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 10, 40, 28, 40 ]
28
[ "40-40=0", "10*0=0", "28+0=28" ]
Current State: 28:[10, 40, 28, 40], Operations: [] Exploring Operation: 40-40=0, Resulting Numbers: [10, 28, 0] Generated Node #2: [10, 28, 0] from Operation: 40-40=0 Current State: 28:[10, 28, 0], Operations: ['40-40=0'] Exploring Operation: 10*0=0, Resulting Numbers: [28, 0] Generated Node #3: [28, 0] from Operation: 10*0=0 Current State: 28:[28, 0], Operations: ['40-40=0', '10*0=0'] Exploring Operation: 28+0=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 52, 9, 60, 27 ]
26
[ "52+9=61", "60+27=87", "87-61=26" ]
Current State: 26:[52, 9, 60, 27], Operations: [] Exploring Operation: 52+9=61, Resulting Numbers: [60, 27, 61] Generated Node #2: [60, 27, 61] from Operation: 52+9=61 Current State: 26:[60, 27, 61], Operations: ['52+9=61'] Exploring Operation: 60+27=87, Resulting Numbers: [61, 87] Generated Node #3: [61, 87] from Operation: 60+27=87 Current State: 26:[61, 87], Operations: ['52+9=61', '60+27=87'] Exploring Operation: 87-61=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 78, 2, 97, 83 ]
32
[ "97-78=19", "83-19=64", "64/2=32" ]
Current State: 32:[78, 2, 97, 83], Operations: [] Exploring Operation: 97-78=19, Resulting Numbers: [2, 83, 19] Generated Node #2: [2, 83, 19] from Operation: 97-78=19 Current State: 32:[2, 83, 19], Operations: ['97-78=19'] Exploring Operation: 83-19=64, Resulting Numbers: [2, 64] Generated Node #3: [2, 64] from Operation: 83-19=64 Current State: 32:[2, 64], Operations: ['97-78=19', '83-19=64'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 6, 15, 32, 53 ]
69
[ "6*15=90", "53-32=21", "90-21=69" ]
Current State: 69:[6, 15, 32, 53], Operations: [] Exploring Operation: 6*15=90, Resulting Numbers: [32, 53, 90] Generated Node #2: [32, 53, 90] from Operation: 6*15=90 Current State: 69:[32, 53, 90], Operations: ['6*15=90'] Exploring Operation: 53-32=21, Resulting Numbers: [90, 21] Generated Node #3: [90, 21] from Operation: 53-32=21 Current State: 69:[90, 21], Operations: ['6*15=90', '53-32=21'] Exploring Operation: 90-21=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 98, 67, 95, 38 ]
32
[ "98+67=165", "95+38=133", "165-133=32" ]
Current State: 32:[98, 67, 95, 38], Operations: [] Exploring Operation: 98+67=165, Resulting Numbers: [95, 38, 165] Generated Node #2: [95, 38, 165] from Operation: 98+67=165 Current State: 32:[95, 38, 165], Operations: ['98+67=165'] Exploring Operation: 95+38=133, Resulting Numbers: [165, 133] Generated Node #3: [165, 133] from Operation: 95+38=133 Current State: 32:[165, 133], Operations: ['98+67=165', '95+38=133'] Exploring Operation: 165-133=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 32, 3, 48, 4 ]
73
[ "32-3=29", "48-4=44", "29+44=73" ]
Current State: 73:[32, 3, 48, 4], Operations: [] Exploring Operation: 32-3=29, Resulting Numbers: [48, 4, 29] Generated Node #2: [48, 4, 29] from Operation: 32-3=29 Current State: 73:[48, 4, 29], Operations: ['32-3=29'] Exploring Operation: 48-4=44, Resulting Numbers: [29, 44] Generated Node #3: [29, 44] from Operation: 48-4=44 Current State: 73:[29, 44], Operations: ['32-3=29', '48-4=44'] Exploring Operation: 29+44=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 47, 7, 13, 53 ]
36
[ "53-47=6", "13-7=6", "6*6=36" ]
Current State: 36:[47, 7, 13, 53], Operations: [] Exploring Operation: 53-47=6, Resulting Numbers: [7, 13, 6] Generated Node #2: [7, 13, 6] from Operation: 53-47=6 Current State: 36:[7, 13, 6], Operations: ['53-47=6'] Exploring Operation: 13-7=6, Resulting Numbers: [6, 6] Generated Node #3: [6, 6] from Operation: 13-7=6 Current State: 36:[6, 6], Operations: ['53-47=6', '13-7=6'] Exploring Operation: 6*6=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 2, 32, 43, 27 ]
32
[ "32/2=16", "43-27=16", "16+16=32" ]
Current State: 32:[2, 32, 43, 27], Operations: [] Exploring Operation: 32/2=16, Resulting Numbers: [43, 27, 16] Generated Node #2: [43, 27, 16] from Operation: 32/2=16 Current State: 32:[43, 27, 16], Operations: ['32/2=16'] Exploring Operation: 43-27=16, Resulting Numbers: [16, 16] Generated Node #3: [16, 16] from Operation: 43-27=16 Current State: 32:[16, 16], Operations: ['32/2=16', '43-27=16'] Exploring Operation: 16+16=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4