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
[ 6, 26, 22, 75 ]
50
[ "26-22=4", "75*4=300", "300/6=50" ]
Current State: 50:[6, 26, 22, 75], Operations: [] Exploring Operation: 26-22=4, Resulting Numbers: [6, 75, 4] Generated Node #2: [6, 75, 4] from Operation: 26-22=4 Current State: 50:[6, 75, 4], Operations: ['26-22=4'] Exploring Operation: 75*4=300, Resulting Numbers: [6, 300] Generated Node #3: [6, 300] from Operation: 75*4=300 Current State: 50:[6, 300], Operations: ['26-22=4', '75*4=300'] Exploring Operation: 300/6=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 62, 49, 18, 60 ]
40
[ "62-60=2", "18/2=9", "49-9=40" ]
Current State: 40:[62, 49, 18, 60], Operations: [] Exploring Operation: 62-60=2, Resulting Numbers: [49, 18, 2] Generated Node #2: [49, 18, 2] from Operation: 62-60=2 Current State: 40:[49, 18, 2], Operations: ['62-60=2'] Exploring Operation: 18/2=9, Resulting Numbers: [49, 9] Generated Node #3: [49, 9] from Operation: 18/2=9 Current State: 40:[49, 9], Operations: ['62-60=2', '18/2=9'] Exploring Operation: 49-9=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 92, 80, 55, 20 ]
77
[ "92+20=112", "55*112=6160", "6160/80=77" ]
Current State: 77:[92, 80, 55, 20], Operations: [] Exploring Operation: 92+20=112, Resulting Numbers: [80, 55, 112] Generated Node #2: [80, 55, 112] from Operation: 92+20=112 Current State: 77:[80, 55, 112], Operations: ['92+20=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: ['92+20=112', '55*112=6160'] Exploring Operation: 6160/80=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 32, 94, 74, 5 ]
17
[ "94-32=62", "74+5=79", "79-62=17" ]
Current State: 17:[32, 94, 74, 5], Operations: [] Exploring Operation: 94-32=62, Resulting Numbers: [74, 5, 62] Generated Node #2: [74, 5, 62] from Operation: 94-32=62 Current State: 17:[74, 5, 62], Operations: ['94-32=62'] Exploring Operation: 74+5=79, Resulting Numbers: [62, 79] Generated Node #3: [62, 79] from Operation: 74+5=79 Current State: 17:[62, 79], Operations: ['94-32=62', '74+5=79'] Exploring Operation: 79-62=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 74, 48, 83, 88 ]
49
[ "74+48=122", "83+88=171", "171-122=49" ]
Current State: 49:[74, 48, 83, 88], Operations: [] Exploring Operation: 74+48=122, Resulting Numbers: [83, 88, 122] Generated Node #2: [83, 88, 122] from Operation: 74+48=122 Current State: 49:[83, 88, 122], Operations: ['74+48=122'] Exploring Operation: 83+88=171, Resulting Numbers: [122, 171] Generated Node #3: [122, 171] from Operation: 83+88=171 Current State: 49:[122, 171], Operations: ['74+48=122', '83+88=171'] Exploring Operation: 171-122=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 95, 94, 83, 61 ]
45
[ "95+94=189", "83+61=144", "189-144=45" ]
Current State: 45:[95, 94, 83, 61], Operations: [] Exploring Operation: 95+94=189, Resulting Numbers: [83, 61, 189] Generated Node #2: [83, 61, 189] from Operation: 95+94=189 Current State: 45:[83, 61, 189], Operations: ['95+94=189'] Exploring Operation: 83+61=144, Resulting Numbers: [189, 144] Generated Node #3: [189, 144] from Operation: 83+61=144 Current State: 45:[189, 144], Operations: ['95+94=189', '83+61=144'] Exploring Operation: 189-144=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 99, 97, 11, 1 ]
88
[ "99/11=9", "97*1=97", "97-9=88" ]
Current State: 88:[99, 97, 11, 1], Operations: [] Exploring Operation: 99/11=9, Resulting Numbers: [97, 1, 9] Generated Node #2: [97, 1, 9] from Operation: 99/11=9 Current State: 88:[97, 1, 9], Operations: ['99/11=9'] Exploring Operation: 97*1=97, Resulting Numbers: [9, 97] Generated Node #3: [9, 97] from Operation: 97*1=97 Current State: 88:[9, 97], Operations: ['99/11=9', '97*1=97'] Exploring Operation: 97-9=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 4, 10, 5, 83 ]
22
[ "10-5=5", "83+5=88", "88/4=22" ]
Current State: 22:[4, 10, 5, 83], Operations: [] Exploring Operation: 10-5=5, Resulting Numbers: [4, 83, 5] Generated Node #2: [4, 83, 5] from Operation: 10-5=5 Current State: 22:[4, 83, 5], Operations: ['10-5=5'] Exploring Operation: 83+5=88, Resulting Numbers: [4, 88] Generated Node #3: [4, 88] from Operation: 83+5=88 Current State: 22:[4, 88], Operations: ['10-5=5', '83+5=88'] Exploring Operation: 88/4=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 5, 9, 55, 59 ]
24
[ "5*55=275", "275-59=216", "216/9=24" ]
Current State: 24:[5, 9, 55, 59], Operations: [] Exploring Operation: 5*55=275, Resulting Numbers: [9, 59, 275] Generated Node #2: [9, 59, 275] from Operation: 5*55=275 Current State: 24:[9, 59, 275], Operations: ['5*55=275'] Exploring Operation: 275-59=216, Resulting Numbers: [9, 216] Generated Node #3: [9, 216] from Operation: 275-59=216 Current State: 24:[9, 216], Operations: ['5*55=275', '275-59=216'] Exploring Operation: 216/9=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 61, 27, 11, 44 ]
52
[ "61+27=88", "88/11=8", "44+8=52" ]
Current State: 52:[61, 27, 11, 44], Operations: [] Exploring Operation: 61+27=88, Resulting Numbers: [11, 44, 88] Generated Node #2: [11, 44, 88] from Operation: 61+27=88 Current State: 52:[11, 44, 88], Operations: ['61+27=88'] Exploring Operation: 88/11=8, Resulting Numbers: [44, 8] Generated Node #3: [44, 8] from Operation: 88/11=8 Current State: 52:[44, 8], Operations: ['61+27=88', '88/11=8'] Exploring Operation: 44+8=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 46, 7, 11, 45 ]
18
[ "46-45=1", "7+11=18", "1*18=18" ]
Current State: 18:[46, 7, 11, 45], Operations: [] Exploring Operation: 46-45=1, Resulting Numbers: [7, 11, 1] Generated Node #2: [7, 11, 1] from Operation: 46-45=1 Current State: 18:[7, 11, 1], Operations: ['46-45=1'] Exploring Operation: 7+11=18, Resulting Numbers: [1, 18] Generated Node #3: [1, 18] from Operation: 7+11=18 Current State: 18:[1, 18], Operations: ['46-45=1', '7+11=18'] Exploring Operation: 1*18=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 37, 57, 66, 81 ]
79
[ "37+57=94", "81-66=15", "94-15=79" ]
Current State: 79:[37, 57, 66, 81], Operations: [] Exploring Operation: 37+57=94, Resulting Numbers: [66, 81, 94] Generated Node #2: [66, 81, 94] from Operation: 37+57=94 Current State: 79:[66, 81, 94], Operations: ['37+57=94'] Exploring Operation: 81-66=15, Resulting Numbers: [94, 15] Generated Node #3: [94, 15] from Operation: 81-66=15 Current State: 79:[94, 15], Operations: ['37+57=94', '81-66=15'] Exploring Operation: 94-15=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 93, 63, 77, 26 ]
81
[ "93-63=30", "77-26=51", "30+51=81" ]
Current State: 81:[93, 63, 77, 26], Operations: [] Exploring Operation: 93-63=30, Resulting Numbers: [77, 26, 30] Generated Node #2: [77, 26, 30] from Operation: 93-63=30 Current State: 81:[77, 26, 30], Operations: ['93-63=30'] Exploring Operation: 77-26=51, Resulting Numbers: [30, 51] Generated Node #3: [30, 51] from Operation: 77-26=51 Current State: 81:[30, 51], Operations: ['93-63=30', '77-26=51'] Exploring Operation: 30+51=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 56, 19, 82, 15 ]
68
[ "19-15=4", "56/4=14", "82-14=68" ]
Current State: 68:[56, 19, 82, 15], Operations: [] Exploring Operation: 19-15=4, Resulting Numbers: [56, 82, 4] Generated Node #2: [56, 82, 4] from Operation: 19-15=4 Current State: 68:[56, 82, 4], Operations: ['19-15=4'] Exploring Operation: 56/4=14, Resulting Numbers: [82, 14] Generated Node #3: [82, 14] from Operation: 56/4=14 Current State: 68:[82, 14], Operations: ['19-15=4', '56/4=14'] Exploring Operation: 82-14=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 18, 53, 70, 91 ]
93
[ "53-18=35", "70/35=2", "91+2=93" ]
Current State: 93:[18, 53, 70, 91], Operations: [] Exploring Operation: 53-18=35, Resulting Numbers: [70, 91, 35] Generated Node #2: [70, 91, 35] from Operation: 53-18=35 Current State: 93:[70, 91, 35], Operations: ['53-18=35'] Exploring Operation: 70/35=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 70/35=2 Current State: 93:[91, 2], Operations: ['53-18=35', '70/35=2'] Exploring Operation: 91+2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 60, 2, 14, 79 ]
69
[ "60+14=74", "2*74=148", "148-79=69" ]
Current State: 69:[60, 2, 14, 79], Operations: [] Exploring Operation: 60+14=74, Resulting Numbers: [2, 79, 74] Generated Node #2: [2, 79, 74] from Operation: 60+14=74 Current State: 69:[2, 79, 74], Operations: ['60+14=74'] Exploring Operation: 2*74=148, Resulting Numbers: [79, 148] Generated Node #3: [79, 148] from Operation: 2*74=148 Current State: 69:[79, 148], Operations: ['60+14=74', '2*74=148'] Exploring Operation: 148-79=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 11, 25, 13, 29 ]
21
[ "13-11=2", "25*2=50", "50-29=21" ]
Current State: 21:[11, 25, 13, 29], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [25, 29, 2] Generated Node #2: [25, 29, 2] from Operation: 13-11=2 Current State: 21:[25, 29, 2], Operations: ['13-11=2'] Exploring Operation: 25*2=50, Resulting Numbers: [29, 50] Generated Node #3: [29, 50] from Operation: 25*2=50 Current State: 21:[29, 50], Operations: ['13-11=2', '25*2=50'] Exploring Operation: 50-29=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 68, 55, 78, 66 ]
25
[ "68-55=13", "78-66=12", "13+12=25" ]
Current State: 25:[68, 55, 78, 66], Operations: [] Exploring Operation: 68-55=13, Resulting Numbers: [78, 66, 13] Generated Node #2: [78, 66, 13] from Operation: 68-55=13 Current State: 25:[78, 66, 13], Operations: ['68-55=13'] Exploring Operation: 78-66=12, Resulting Numbers: [13, 12] Generated Node #3: [13, 12] from Operation: 78-66=12 Current State: 25:[13, 12], Operations: ['68-55=13', '78-66=12'] Exploring Operation: 13+12=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 2, 60, 53, 44 ]
53
[ "2+60=62", "53-44=9", "62-9=53" ]
Current State: 53:[2, 60, 53, 44], Operations: [] Exploring Operation: 2+60=62, Resulting Numbers: [53, 44, 62] Generated Node #2: [53, 44, 62] from Operation: 2+60=62 Current State: 53:[53, 44, 62], Operations: ['2+60=62'] Exploring Operation: 53-44=9, Resulting Numbers: [62, 9] Generated Node #3: [62, 9] from Operation: 53-44=9 Current State: 53:[62, 9], Operations: ['2+60=62', '53-44=9'] Exploring Operation: 62-9=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 39, 15, 31, 78 ]
13
[ "39*31=1209", "15+78=93", "1209/93=13" ]
Current State: 13:[39, 15, 31, 78], Operations: [] Exploring Operation: 39*31=1209, Resulting Numbers: [15, 78, 1209] Generated Node #2: [15, 78, 1209] from Operation: 39*31=1209 Current State: 13:[15, 78, 1209], Operations: ['39*31=1209'] Exploring Operation: 15+78=93, Resulting Numbers: [1209, 93] Generated Node #3: [1209, 93] from Operation: 15+78=93 Current State: 13:[1209, 93], Operations: ['39*31=1209', '15+78=93'] Exploring Operation: 1209/93=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 66, 75, 86, 4 ]
50
[ "75-66=9", "4*9=36", "86-36=50" ]
Current State: 50:[66, 75, 86, 4], Operations: [] Exploring Operation: 75-66=9, Resulting Numbers: [86, 4, 9] Generated Node #2: [86, 4, 9] from Operation: 75-66=9 Current State: 50:[86, 4, 9], Operations: ['75-66=9'] Exploring Operation: 4*9=36, Resulting Numbers: [86, 36] Generated Node #3: [86, 36] from Operation: 4*9=36 Current State: 50:[86, 36], Operations: ['75-66=9', '4*9=36'] Exploring Operation: 86-36=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 86, 1, 99, 42 ]
55
[ "86*1=86", "99+42=141", "141-86=55" ]
Current State: 55:[86, 1, 99, 42], Operations: [] Exploring Operation: 86*1=86, Resulting Numbers: [99, 42, 86] Generated Node #2: [99, 42, 86] from Operation: 86*1=86 Current State: 55:[99, 42, 86], Operations: ['86*1=86'] Exploring Operation: 99+42=141, Resulting Numbers: [86, 141] Generated Node #3: [86, 141] from Operation: 99+42=141 Current State: 55:[86, 141], Operations: ['86*1=86', '99+42=141'] Exploring Operation: 141-86=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 18, 58, 13, 89 ]
62
[ "58-18=40", "13+89=102", "102-40=62" ]
Current State: 62:[18, 58, 13, 89], Operations: [] Exploring Operation: 58-18=40, Resulting Numbers: [13, 89, 40] Generated Node #2: [13, 89, 40] from Operation: 58-18=40 Current State: 62:[13, 89, 40], Operations: ['58-18=40'] Exploring Operation: 13+89=102, Resulting Numbers: [40, 102] Generated Node #3: [40, 102] from Operation: 13+89=102 Current State: 62:[40, 102], Operations: ['58-18=40', '13+89=102'] Exploring Operation: 102-40=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 71, 54, 32, 47 ]
62
[ "71-54=17", "32+47=79", "79-17=62" ]
Current State: 62:[71, 54, 32, 47], Operations: [] Exploring Operation: 71-54=17, Resulting Numbers: [32, 47, 17] Generated Node #2: [32, 47, 17] from Operation: 71-54=17 Current State: 62:[32, 47, 17], Operations: ['71-54=17'] Exploring Operation: 32+47=79, Resulting Numbers: [17, 79] Generated Node #3: [17, 79] from Operation: 32+47=79 Current State: 62:[17, 79], Operations: ['71-54=17', '32+47=79'] Exploring Operation: 79-17=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 23, 12, 37, 35 ]
83
[ "23-12=11", "37+35=72", "11+72=83" ]
Current State: 83:[23, 12, 37, 35], Operations: [] Exploring Operation: 23-12=11, Resulting Numbers: [37, 35, 11] Generated Node #2: [37, 35, 11] from Operation: 23-12=11 Current State: 83:[37, 35, 11], Operations: ['23-12=11'] Exploring Operation: 37+35=72, Resulting Numbers: [11, 72] Generated Node #3: [11, 72] from Operation: 37+35=72 Current State: 83:[11, 72], Operations: ['23-12=11', '37+35=72'] Exploring Operation: 11+72=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 35, 48, 2, 34 ]
55
[ "48-35=13", "2*34=68", "68-13=55" ]
Current State: 55:[35, 48, 2, 34], Operations: [] Exploring Operation: 48-35=13, Resulting Numbers: [2, 34, 13] Generated Node #2: [2, 34, 13] from Operation: 48-35=13 Current State: 55:[2, 34, 13], Operations: ['48-35=13'] Exploring Operation: 2*34=68, Resulting Numbers: [13, 68] Generated Node #3: [13, 68] from Operation: 2*34=68 Current State: 55:[13, 68], Operations: ['48-35=13', '2*34=68'] Exploring Operation: 68-13=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 2, 9, 16, 43 ]
70
[ "2+9=11", "16+43=59", "11+59=70" ]
Current State: 70:[2, 9, 16, 43], Operations: [] Exploring Operation: 2+9=11, Resulting Numbers: [16, 43, 11] Generated Node #2: [16, 43, 11] from Operation: 2+9=11 Current State: 70:[16, 43, 11], Operations: ['2+9=11'] Exploring Operation: 16+43=59, Resulting Numbers: [11, 59] Generated Node #3: [11, 59] from Operation: 16+43=59 Current State: 70:[11, 59], Operations: ['2+9=11', '16+43=59'] Exploring Operation: 11+59=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 23, 58, 17, 14 ]
27
[ "23+58=81", "17-14=3", "81/3=27" ]
Current State: 27:[23, 58, 17, 14], Operations: [] Exploring Operation: 23+58=81, Resulting Numbers: [17, 14, 81] Generated Node #2: [17, 14, 81] from Operation: 23+58=81 Current State: 27:[17, 14, 81], Operations: ['23+58=81'] Exploring Operation: 17-14=3, Resulting Numbers: [81, 3] Generated Node #3: [81, 3] from Operation: 17-14=3 Current State: 27:[81, 3], Operations: ['23+58=81', '17-14=3'] Exploring Operation: 81/3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 98, 14, 86, 17 ]
34
[ "98-14=84", "86-84=2", "17*2=34" ]
Current State: 34:[98, 14, 86, 17], Operations: [] Exploring Operation: 98-14=84, Resulting Numbers: [86, 17, 84] Generated Node #2: [86, 17, 84] from Operation: 98-14=84 Current State: 34:[86, 17, 84], Operations: ['98-14=84'] Exploring Operation: 86-84=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 86-84=2 Current State: 34:[17, 2], Operations: ['98-14=84', '86-84=2'] Exploring Operation: 17*2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 57, 65, 32, 60 ]
15
[ "65-57=8", "32/8=4", "60/4=15" ]
Current State: 15:[57, 65, 32, 60], Operations: [] Exploring Operation: 65-57=8, Resulting Numbers: [32, 60, 8] Generated Node #2: [32, 60, 8] from Operation: 65-57=8 Current State: 15:[32, 60, 8], Operations: ['65-57=8'] Exploring Operation: 32/8=4, Resulting Numbers: [60, 4] Generated Node #3: [60, 4] from Operation: 32/8=4 Current State: 15:[60, 4], Operations: ['65-57=8', '32/8=4'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 42, 78, 65, 18 ]
26
[ "65*18=1170", "1170-78=1092", "1092/42=26" ]
Current State: 26:[42, 78, 65, 18], Operations: [] Exploring Operation: 65*18=1170, Resulting Numbers: [42, 78, 1170] Generated Node #2: [42, 78, 1170] from Operation: 65*18=1170 Current State: 26:[42, 78, 1170], Operations: ['65*18=1170'] Exploring Operation: 1170-78=1092, Resulting Numbers: [42, 1092] Generated Node #3: [42, 1092] from Operation: 1170-78=1092 Current State: 26:[42, 1092], Operations: ['65*18=1170', '1170-78=1092'] Exploring Operation: 1092/42=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 18, 50, 14, 72 ]
20
[ "50-14=36", "72/36=2", "18+2=20" ]
Current State: 20:[18, 50, 14, 72], Operations: [] Exploring Operation: 50-14=36, Resulting Numbers: [18, 72, 36] Generated Node #2: [18, 72, 36] from Operation: 50-14=36 Current State: 20:[18, 72, 36], Operations: ['50-14=36'] Exploring Operation: 72/36=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 72/36=2 Current State: 20:[18, 2], Operations: ['50-14=36', '72/36=2'] Exploring Operation: 18+2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 26, 47, 48, 19 ]
46
[ "47-26=21", "48+19=67", "67-21=46" ]
Current State: 46:[26, 47, 48, 19], Operations: [] Exploring Operation: 47-26=21, Resulting Numbers: [48, 19, 21] Generated Node #2: [48, 19, 21] from Operation: 47-26=21 Current State: 46:[48, 19, 21], Operations: ['47-26=21'] Exploring Operation: 48+19=67, Resulting Numbers: [21, 67] Generated Node #3: [21, 67] from Operation: 48+19=67 Current State: 46:[21, 67], Operations: ['47-26=21', '48+19=67'] Exploring Operation: 67-21=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 72, 9, 78, 5 ]
20
[ "72-9=63", "78+5=83", "83-63=20" ]
Current State: 20:[72, 9, 78, 5], Operations: [] Exploring Operation: 72-9=63, Resulting Numbers: [78, 5, 63] Generated Node #2: [78, 5, 63] from Operation: 72-9=63 Current State: 20:[78, 5, 63], Operations: ['72-9=63'] Exploring Operation: 78+5=83, Resulting Numbers: [63, 83] Generated Node #3: [63, 83] from Operation: 78+5=83 Current State: 20:[63, 83], Operations: ['72-9=63', '78+5=83'] Exploring Operation: 83-63=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 41, 85, 84, 57 ]
38
[ "41+85=126", "84*57=4788", "4788/126=38" ]
Current State: 38:[41, 85, 84, 57], Operations: [] Exploring Operation: 41+85=126, Resulting Numbers: [84, 57, 126] Generated Node #2: [84, 57, 126] from Operation: 41+85=126 Current State: 38:[84, 57, 126], Operations: ['41+85=126'] Exploring Operation: 84*57=4788, Resulting Numbers: [126, 4788] Generated Node #3: [126, 4788] from Operation: 84*57=4788 Current State: 38:[126, 4788], Operations: ['41+85=126', '84*57=4788'] Exploring Operation: 4788/126=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 87, 5, 7, 47 ]
67
[ "87+47=134", "7-5=2", "134/2=67" ]
Current State: 67:[87, 5, 7, 47], Operations: [] Exploring Operation: 87+47=134, Resulting Numbers: [5, 7, 134] Generated Node #2: [5, 7, 134] from Operation: 87+47=134 Current State: 67:[5, 7, 134], Operations: ['87+47=134'] Exploring Operation: 7-5=2, Resulting Numbers: [134, 2] Generated Node #3: [134, 2] from Operation: 7-5=2 Current State: 67:[134, 2], Operations: ['87+47=134', '7-5=2'] Exploring Operation: 134/2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 80, 26, 64, 8 ]
100
[ "80/8=10", "26+64=90", "10+90=100" ]
Current State: 100:[80, 26, 64, 8], Operations: [] Exploring Operation: 80/8=10, Resulting Numbers: [26, 64, 10] Generated Node #2: [26, 64, 10] from Operation: 80/8=10 Current State: 100:[26, 64, 10], Operations: ['80/8=10'] Exploring Operation: 26+64=90, Resulting Numbers: [10, 90] Generated Node #3: [10, 90] from Operation: 26+64=90 Current State: 100:[10, 90], Operations: ['80/8=10', '26+64=90'] Exploring Operation: 10+90=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 18, 50, 20, 48 ]
52
[ "20-18=2", "50*2=100", "100-48=52" ]
Current State: 52:[18, 50, 20, 48], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [50, 48, 2] Generated Node #2: [50, 48, 2] from Operation: 20-18=2 Current State: 52:[50, 48, 2], Operations: ['20-18=2'] Exploring Operation: 50*2=100, Resulting Numbers: [48, 100] Generated Node #3: [48, 100] from Operation: 50*2=100 Current State: 52:[48, 100], Operations: ['20-18=2', '50*2=100'] Exploring Operation: 100-48=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 72, 9, 89, 81 ]
81
[ "72*9=648", "89-81=8", "648/8=81" ]
Current State: 81:[72, 9, 89, 81], Operations: [] Exploring Operation: 72*9=648, Resulting Numbers: [89, 81, 648] Generated Node #2: [89, 81, 648] from Operation: 72*9=648 Current State: 81:[89, 81, 648], Operations: ['72*9=648'] Exploring Operation: 89-81=8, Resulting Numbers: [648, 8] Generated Node #3: [648, 8] from Operation: 89-81=8 Current State: 81:[648, 8], Operations: ['72*9=648', '89-81=8'] Exploring Operation: 648/8=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 3, 49, 29, 17 ]
98
[ "3+49=52", "29+17=46", "52+46=98" ]
Current State: 98:[3, 49, 29, 17], Operations: [] Exploring Operation: 3+49=52, Resulting Numbers: [29, 17, 52] Generated Node #2: [29, 17, 52] from Operation: 3+49=52 Current State: 98:[29, 17, 52], Operations: ['3+49=52'] Exploring Operation: 29+17=46, Resulting Numbers: [52, 46] Generated Node #3: [52, 46] from Operation: 29+17=46 Current State: 98:[52, 46], Operations: ['3+49=52', '29+17=46'] Exploring Operation: 52+46=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 9, 93, 77, 87 ]
92
[ "9+93=102", "87-77=10", "102-10=92" ]
Current State: 92:[9, 93, 77, 87], Operations: [] Exploring Operation: 9+93=102, Resulting Numbers: [77, 87, 102] Generated Node #2: [77, 87, 102] from Operation: 9+93=102 Current State: 92:[77, 87, 102], Operations: ['9+93=102'] Exploring Operation: 87-77=10, Resulting Numbers: [102, 10] Generated Node #3: [102, 10] from Operation: 87-77=10 Current State: 92:[102, 10], Operations: ['9+93=102', '87-77=10'] Exploring Operation: 102-10=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 78, 15, 10, 20 ]
51
[ "78-10=68", "15*68=1020", "1020/20=51" ]
Current State: 51:[78, 15, 10, 20], Operations: [] Exploring Operation: 78-10=68, Resulting Numbers: [15, 20, 68] Generated Node #2: [15, 20, 68] from Operation: 78-10=68 Current State: 51:[15, 20, 68], Operations: ['78-10=68'] Exploring Operation: 15*68=1020, Resulting Numbers: [20, 1020] Generated Node #3: [20, 1020] from Operation: 15*68=1020 Current State: 51:[20, 1020], Operations: ['78-10=68', '15*68=1020'] Exploring Operation: 1020/20=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 4, 86, 35, 60 ]
14
[ "60-35=25", "4*25=100", "100-86=14" ]
Current State: 14:[4, 86, 35, 60], Operations: [] Exploring Operation: 60-35=25, Resulting Numbers: [4, 86, 25] Generated Node #2: [4, 86, 25] from Operation: 60-35=25 Current State: 14:[4, 86, 25], Operations: ['60-35=25'] Exploring Operation: 4*25=100, Resulting Numbers: [86, 100] Generated Node #3: [86, 100] from Operation: 4*25=100 Current State: 14:[86, 100], Operations: ['60-35=25', '4*25=100'] Exploring Operation: 100-86=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 15, 85, 30, 19 ]
68
[ "30/15=2", "85-19=66", "2+66=68" ]
Current State: 68:[15, 85, 30, 19], Operations: [] Exploring Operation: 30/15=2, Resulting Numbers: [85, 19, 2] Generated Node #2: [85, 19, 2] from Operation: 30/15=2 Current State: 68:[85, 19, 2], Operations: ['30/15=2'] Exploring Operation: 85-19=66, Resulting Numbers: [2, 66] Generated Node #3: [2, 66] from Operation: 85-19=66 Current State: 68:[2, 66], Operations: ['30/15=2', '85-19=66'] Exploring Operation: 2+66=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 53, 13, 82, 67 ]
83
[ "53+13=66", "82+67=149", "149-66=83" ]
Current State: 83:[53, 13, 82, 67], Operations: [] Exploring Operation: 53+13=66, Resulting Numbers: [82, 67, 66] Generated Node #2: [82, 67, 66] from Operation: 53+13=66 Current State: 83:[82, 67, 66], Operations: ['53+13=66'] Exploring Operation: 82+67=149, Resulting Numbers: [66, 149] Generated Node #3: [66, 149] from Operation: 82+67=149 Current State: 83:[66, 149], Operations: ['53+13=66', '82+67=149'] Exploring Operation: 149-66=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 48, 32, 25, 96 ]
31
[ "48-32=16", "96/16=6", "25+6=31" ]
Current State: 31:[48, 32, 25, 96], Operations: [] Exploring Operation: 48-32=16, Resulting Numbers: [25, 96, 16] Generated Node #2: [25, 96, 16] from Operation: 48-32=16 Current State: 31:[25, 96, 16], Operations: ['48-32=16'] Exploring Operation: 96/16=6, Resulting Numbers: [25, 6] Generated Node #3: [25, 6] from Operation: 96/16=6 Current State: 31:[25, 6], Operations: ['48-32=16', '96/16=6'] Exploring Operation: 25+6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 68, 73, 28, 2 ]
79
[ "68/2=34", "73-28=45", "34+45=79" ]
Current State: 79:[68, 73, 28, 2], Operations: [] Exploring Operation: 68/2=34, Resulting Numbers: [73, 28, 34] Generated Node #2: [73, 28, 34] from Operation: 68/2=34 Current State: 79:[73, 28, 34], Operations: ['68/2=34'] Exploring Operation: 73-28=45, Resulting Numbers: [34, 45] Generated Node #3: [34, 45] from Operation: 73-28=45 Current State: 79:[34, 45], Operations: ['68/2=34', '73-28=45'] Exploring Operation: 34+45=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 30, 61, 37, 18 ]
50
[ "61-30=31", "37-18=19", "31+19=50" ]
Current State: 50:[30, 61, 37, 18], Operations: [] Exploring Operation: 61-30=31, Resulting Numbers: [37, 18, 31] Generated Node #2: [37, 18, 31] from Operation: 61-30=31 Current State: 50:[37, 18, 31], Operations: ['61-30=31'] Exploring Operation: 37-18=19, Resulting Numbers: [31, 19] Generated Node #3: [31, 19] from Operation: 37-18=19 Current State: 50:[31, 19], Operations: ['61-30=31', '37-18=19'] Exploring Operation: 31+19=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 94, 32, 38, 90 ]
98
[ "38+90=128", "128/32=4", "94+4=98" ]
Current State: 98:[94, 32, 38, 90], Operations: [] Exploring Operation: 38+90=128, Resulting Numbers: [94, 32, 128] Generated Node #2: [94, 32, 128] from Operation: 38+90=128 Current State: 98:[94, 32, 128], Operations: ['38+90=128'] Exploring Operation: 128/32=4, Resulting Numbers: [94, 4] Generated Node #3: [94, 4] from Operation: 128/32=4 Current State: 98:[94, 4], Operations: ['38+90=128', '128/32=4'] Exploring Operation: 94+4=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 18, 98, 96, 64 ]
50
[ "98-96=2", "64/2=32", "18+32=50" ]
Current State: 50:[18, 98, 96, 64], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [18, 64, 2] Generated Node #2: [18, 64, 2] from Operation: 98-96=2 Current State: 50:[18, 64, 2], Operations: ['98-96=2'] Exploring Operation: 64/2=32, Resulting Numbers: [18, 32] Generated Node #3: [18, 32] from Operation: 64/2=32 Current State: 50:[18, 32], Operations: ['98-96=2', '64/2=32'] Exploring Operation: 18+32=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 32, 93, 12, 4 ]
23
[ "32*4=128", "93+12=105", "128-105=23" ]
Current State: 23:[32, 93, 12, 4], Operations: [] Exploring Operation: 32*4=128, Resulting Numbers: [93, 12, 128] Generated Node #2: [93, 12, 128] from Operation: 32*4=128 Current State: 23:[93, 12, 128], Operations: ['32*4=128'] Exploring Operation: 93+12=105, Resulting Numbers: [128, 105] Generated Node #3: [128, 105] from Operation: 93+12=105 Current State: 23:[128, 105], Operations: ['32*4=128', '93+12=105'] Exploring Operation: 128-105=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 11, 69, 67, 96 ]
29
[ "69-11=58", "96-67=29", "58-29=29" ]
Current State: 29:[11, 69, 67, 96], Operations: [] Exploring Operation: 69-11=58, Resulting Numbers: [67, 96, 58] Generated Node #2: [67, 96, 58] from Operation: 69-11=58 Current State: 29:[67, 96, 58], Operations: ['69-11=58'] Exploring Operation: 96-67=29, Resulting Numbers: [58, 29] Generated Node #3: [58, 29] from Operation: 96-67=29 Current State: 29:[58, 29], Operations: ['69-11=58', '96-67=29'] Exploring Operation: 58-29=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 66, 72, 93, 84 ]
90
[ "66*93=6138", "72*84=6048", "6138-6048=90" ]
Current State: 90:[66, 72, 93, 84], Operations: [] Exploring Operation: 66*93=6138, Resulting Numbers: [72, 84, 6138] Generated Node #2: [72, 84, 6138] from Operation: 66*93=6138 Current State: 90:[72, 84, 6138], Operations: ['66*93=6138'] Exploring Operation: 72*84=6048, Resulting Numbers: [6138, 6048] Generated Node #3: [6138, 6048] from Operation: 72*84=6048 Current State: 90:[6138, 6048], Operations: ['66*93=6138', '72*84=6048'] Exploring Operation: 6138-6048=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 39, 7, 9, 21 ]
16
[ "39+7=46", "9+21=30", "46-30=16" ]
Current State: 16:[39, 7, 9, 21], Operations: [] Exploring Operation: 39+7=46, Resulting Numbers: [9, 21, 46] Generated Node #2: [9, 21, 46] from Operation: 39+7=46 Current State: 16:[9, 21, 46], Operations: ['39+7=46'] Exploring Operation: 9+21=30, Resulting Numbers: [46, 30] Generated Node #3: [46, 30] from Operation: 9+21=30 Current State: 16:[46, 30], Operations: ['39+7=46', '9+21=30'] Exploring Operation: 46-30=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 2, 8, 68, 88 ]
26
[ "8-2=6", "68+88=156", "156/6=26" ]
Current State: 26:[2, 8, 68, 88], Operations: [] Exploring Operation: 8-2=6, Resulting Numbers: [68, 88, 6] Generated Node #2: [68, 88, 6] from Operation: 8-2=6 Current State: 26:[68, 88, 6], Operations: ['8-2=6'] Exploring Operation: 68+88=156, Resulting Numbers: [6, 156] Generated Node #3: [6, 156] from Operation: 68+88=156 Current State: 26:[6, 156], Operations: ['8-2=6', '68+88=156'] Exploring Operation: 156/6=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 90, 37, 22, 67 ]
35
[ "67-22=45", "90/45=2", "37-2=35" ]
Current State: 35:[90, 37, 22, 67], Operations: [] Exploring Operation: 67-22=45, Resulting Numbers: [90, 37, 45] Generated Node #2: [90, 37, 45] from Operation: 67-22=45 Current State: 35:[90, 37, 45], Operations: ['67-22=45'] Exploring Operation: 90/45=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 90/45=2 Current State: 35:[37, 2], Operations: ['67-22=45', '90/45=2'] Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 59, 42, 13, 2 ]
51
[ "59+13=72", "42/2=21", "72-21=51" ]
Current State: 51:[59, 42, 13, 2], Operations: [] Exploring Operation: 59+13=72, Resulting Numbers: [42, 2, 72] Generated Node #2: [42, 2, 72] from Operation: 59+13=72 Current State: 51:[42, 2, 72], Operations: ['59+13=72'] Exploring Operation: 42/2=21, Resulting Numbers: [72, 21] Generated Node #3: [72, 21] from Operation: 42/2=21 Current State: 51:[72, 21], Operations: ['59+13=72', '42/2=21'] Exploring Operation: 72-21=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 62, 18, 42, 17 ]
19
[ "62-18=44", "42-17=25", "44-25=19" ]
Current State: 19:[62, 18, 42, 17], Operations: [] Exploring Operation: 62-18=44, Resulting Numbers: [42, 17, 44] Generated Node #2: [42, 17, 44] from Operation: 62-18=44 Current State: 19:[42, 17, 44], Operations: ['62-18=44'] Exploring Operation: 42-17=25, Resulting Numbers: [44, 25] Generated Node #3: [44, 25] from Operation: 42-17=25 Current State: 19:[44, 25], Operations: ['62-18=44', '42-17=25'] Exploring Operation: 44-25=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 39, 44, 10, 11 ]
13
[ "44-39=5", "10/5=2", "11+2=13" ]
Current State: 13:[39, 44, 10, 11], Operations: [] Exploring Operation: 44-39=5, Resulting Numbers: [10, 11, 5] Generated Node #2: [10, 11, 5] from Operation: 44-39=5 Current State: 13:[10, 11, 5], Operations: ['44-39=5'] Exploring Operation: 10/5=2, Resulting Numbers: [11, 2] Generated Node #3: [11, 2] from Operation: 10/5=2 Current State: 13:[11, 2], Operations: ['44-39=5', '10/5=2'] Exploring Operation: 11+2=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 2, 10, 69, 98 ]
34
[ "10/2=5", "98-69=29", "5+29=34" ]
Current State: 34:[2, 10, 69, 98], Operations: [] Exploring Operation: 10/2=5, Resulting Numbers: [69, 98, 5] Generated Node #2: [69, 98, 5] from Operation: 10/2=5 Current State: 34:[69, 98, 5], Operations: ['10/2=5'] Exploring Operation: 98-69=29, Resulting Numbers: [5, 29] Generated Node #3: [5, 29] from Operation: 98-69=29 Current State: 34:[5, 29], Operations: ['10/2=5', '98-69=29'] Exploring Operation: 5+29=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 84, 4, 22, 19 ]
76
[ "84+4=88", "88/22=4", "19*4=76" ]
Current State: 76:[84, 4, 22, 19], Operations: [] Exploring Operation: 84+4=88, Resulting Numbers: [22, 19, 88] Generated Node #2: [22, 19, 88] from Operation: 84+4=88 Current State: 76:[22, 19, 88], Operations: ['84+4=88'] Exploring Operation: 88/22=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 88/22=4 Current State: 76:[19, 4], Operations: ['84+4=88', '88/22=4'] Exploring Operation: 19*4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 26, 18, 20, 74 ]
86
[ "26-18=8", "20+74=94", "94-8=86" ]
Current State: 86:[26, 18, 20, 74], Operations: [] Exploring Operation: 26-18=8, Resulting Numbers: [20, 74, 8] Generated Node #2: [20, 74, 8] from Operation: 26-18=8 Current State: 86:[20, 74, 8], Operations: ['26-18=8'] Exploring Operation: 20+74=94, Resulting Numbers: [8, 94] Generated Node #3: [8, 94] from Operation: 20+74=94 Current State: 86:[8, 94], Operations: ['26-18=8', '20+74=94'] Exploring Operation: 94-8=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 95, 84, 42, 94 ]
96
[ "95*84=7980", "7980/42=190", "190-94=96" ]
Current State: 96:[95, 84, 42, 94], Operations: [] Exploring Operation: 95*84=7980, Resulting Numbers: [42, 94, 7980] Generated Node #2: [42, 94, 7980] from Operation: 95*84=7980 Current State: 96:[42, 94, 7980], Operations: ['95*84=7980'] Exploring Operation: 7980/42=190, Resulting Numbers: [94, 190] Generated Node #3: [94, 190] from Operation: 7980/42=190 Current State: 96:[94, 190], Operations: ['95*84=7980', '7980/42=190'] Exploring Operation: 190-94=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 71, 5, 80, 51 ]
84
[ "71-51=20", "20/5=4", "80+4=84" ]
Current State: 84:[71, 5, 80, 51], Operations: [] Exploring Operation: 71-51=20, Resulting Numbers: [5, 80, 20] Generated Node #2: [5, 80, 20] from Operation: 71-51=20 Current State: 84:[5, 80, 20], Operations: ['71-51=20'] Exploring Operation: 20/5=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 20/5=4 Current State: 84:[80, 4], Operations: ['71-51=20', '20/5=4'] Exploring Operation: 80+4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 15, 71, 5, 79 ]
45
[ "71+5=76", "79-76=3", "15*3=45" ]
Current State: 45:[15, 71, 5, 79], Operations: [] Exploring Operation: 71+5=76, Resulting Numbers: [15, 79, 76] Generated Node #2: [15, 79, 76] from Operation: 71+5=76 Current State: 45:[15, 79, 76], Operations: ['71+5=76'] Exploring Operation: 79-76=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 79-76=3 Current State: 45:[15, 3], Operations: ['71+5=76', '79-76=3'] Exploring Operation: 15*3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 75, 12, 70, 67 ]
29
[ "75+12=87", "70-67=3", "87/3=29" ]
Current State: 29:[75, 12, 70, 67], Operations: [] Exploring Operation: 75+12=87, Resulting Numbers: [70, 67, 87] Generated Node #2: [70, 67, 87] from Operation: 75+12=87 Current State: 29:[70, 67, 87], Operations: ['75+12=87'] Exploring Operation: 70-67=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 70-67=3 Current State: 29:[87, 3], Operations: ['75+12=87', '70-67=3'] Exploring Operation: 87/3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 98, 76, 54, 38 ]
46
[ "98-54=44", "76/38=2", "44+2=46" ]
Current State: 46:[98, 76, 54, 38], Operations: [] Exploring Operation: 98-54=44, Resulting Numbers: [76, 38, 44] Generated Node #2: [76, 38, 44] from Operation: 98-54=44 Current State: 46:[76, 38, 44], Operations: ['98-54=44'] Exploring Operation: 76/38=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 76/38=2 Current State: 46:[44, 2], Operations: ['98-54=44', '76/38=2'] Exploring Operation: 44+2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 53, 10, 5, 83 ]
100
[ "53+10=63", "83-63=20", "5*20=100" ]
Current State: 100:[53, 10, 5, 83], Operations: [] Exploring Operation: 53+10=63, Resulting Numbers: [5, 83, 63] Generated Node #2: [5, 83, 63] from Operation: 53+10=63 Current State: 100:[5, 83, 63], Operations: ['53+10=63'] Exploring Operation: 83-63=20, Resulting Numbers: [5, 20] Generated Node #3: [5, 20] from Operation: 83-63=20 Current State: 100:[5, 20], Operations: ['53+10=63', '83-63=20'] Exploring Operation: 5*20=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 78, 17, 33, 5 ]
70
[ "78+17=95", "33*5=165", "165-95=70" ]
Current State: 70:[78, 17, 33, 5], Operations: [] Exploring Operation: 78+17=95, Resulting Numbers: [33, 5, 95] Generated Node #2: [33, 5, 95] from Operation: 78+17=95 Current State: 70:[33, 5, 95], Operations: ['78+17=95'] Exploring Operation: 33*5=165, Resulting Numbers: [95, 165] Generated Node #3: [95, 165] from Operation: 33*5=165 Current State: 70:[95, 165], Operations: ['78+17=95', '33*5=165'] Exploring Operation: 165-95=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 44, 51, 2, 20 ]
85
[ "44+51=95", "20/2=10", "95-10=85" ]
Current State: 85:[44, 51, 2, 20], Operations: [] Exploring Operation: 44+51=95, Resulting Numbers: [2, 20, 95] Generated Node #2: [2, 20, 95] from Operation: 44+51=95 Current State: 85:[2, 20, 95], Operations: ['44+51=95'] Exploring Operation: 20/2=10, Resulting Numbers: [95, 10] Generated Node #3: [95, 10] from Operation: 20/2=10 Current State: 85:[95, 10], Operations: ['44+51=95', '20/2=10'] Exploring Operation: 95-10=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 88, 90, 61, 14 ]
94
[ "90-88=2", "61-14=47", "2*47=94" ]
Current State: 94:[88, 90, 61, 14], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [61, 14, 2] Generated Node #2: [61, 14, 2] from Operation: 90-88=2 Current State: 94:[61, 14, 2], Operations: ['90-88=2'] Exploring Operation: 61-14=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 61-14=47 Current State: 94:[2, 47], Operations: ['90-88=2', '61-14=47'] Exploring Operation: 2*47=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 95, 49, 61, 40 ]
55
[ "95-49=46", "61+40=101", "101-46=55" ]
Current State: 55:[95, 49, 61, 40], Operations: [] Exploring Operation: 95-49=46, Resulting Numbers: [61, 40, 46] Generated Node #2: [61, 40, 46] from Operation: 95-49=46 Current State: 55:[61, 40, 46], Operations: ['95-49=46'] Exploring Operation: 61+40=101, Resulting Numbers: [46, 101] Generated Node #3: [46, 101] from Operation: 61+40=101 Current State: 55:[46, 101], Operations: ['95-49=46', '61+40=101'] Exploring Operation: 101-46=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 61, 7, 31, 59 ]
36
[ "61-7=54", "31+59=90", "90-54=36" ]
Current State: 36:[61, 7, 31, 59], Operations: [] Exploring Operation: 61-7=54, Resulting Numbers: [31, 59, 54] Generated Node #2: [31, 59, 54] from Operation: 61-7=54 Current State: 36:[31, 59, 54], Operations: ['61-7=54'] Exploring Operation: 31+59=90, Resulting Numbers: [54, 90] Generated Node #3: [54, 90] from Operation: 31+59=90 Current State: 36:[54, 90], Operations: ['61-7=54', '31+59=90'] Exploring Operation: 90-54=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 93, 3, 72, 7 ]
62
[ "93+72=165", "165/3=55", "7+55=62" ]
Current State: 62:[93, 3, 72, 7], Operations: [] Exploring Operation: 93+72=165, Resulting Numbers: [3, 7, 165] Generated Node #2: [3, 7, 165] from Operation: 93+72=165 Current State: 62:[3, 7, 165], Operations: ['93+72=165'] Exploring Operation: 165/3=55, Resulting Numbers: [7, 55] Generated Node #3: [7, 55] from Operation: 165/3=55 Current State: 62:[7, 55], Operations: ['93+72=165', '165/3=55'] Exploring Operation: 7+55=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 1, 83, 97, 86 ]
72
[ "1*83=83", "97-86=11", "83-11=72" ]
Current State: 72:[1, 83, 97, 86], Operations: [] Exploring Operation: 1*83=83, Resulting Numbers: [97, 86, 83] Generated Node #2: [97, 86, 83] from Operation: 1*83=83 Current State: 72:[97, 86, 83], Operations: ['1*83=83'] Exploring Operation: 97-86=11, Resulting Numbers: [83, 11] Generated Node #3: [83, 11] from Operation: 97-86=11 Current State: 72:[83, 11], Operations: ['1*83=83', '97-86=11'] Exploring Operation: 83-11=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 3, 2, 96, 36 ]
34
[ "96/3=32", "36+32=68", "68/2=34" ]
Current State: 34:[3, 2, 96, 36], Operations: [] Exploring Operation: 96/3=32, Resulting Numbers: [2, 36, 32] Generated Node #2: [2, 36, 32] from Operation: 96/3=32 Current State: 34:[2, 36, 32], Operations: ['96/3=32'] Exploring Operation: 36+32=68, Resulting Numbers: [2, 68] Generated Node #3: [2, 68] from Operation: 36+32=68 Current State: 34:[2, 68], Operations: ['96/3=32', '36+32=68'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 92, 84, 17, 97 ]
96
[ "92+84=176", "97-17=80", "176-80=96" ]
Current State: 96:[92, 84, 17, 97], Operations: [] Exploring Operation: 92+84=176, Resulting Numbers: [17, 97, 176] Generated Node #2: [17, 97, 176] from Operation: 92+84=176 Current State: 96:[17, 97, 176], Operations: ['92+84=176'] Exploring Operation: 97-17=80, Resulting Numbers: [176, 80] Generated Node #3: [176, 80] from Operation: 97-17=80 Current State: 96:[176, 80], Operations: ['92+84=176', '97-17=80'] Exploring Operation: 176-80=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 7, 18, 43, 97 ]
65
[ "18-7=11", "97-43=54", "11+54=65" ]
Current State: 65:[7, 18, 43, 97], Operations: [] Exploring Operation: 18-7=11, Resulting Numbers: [43, 97, 11] Generated Node #2: [43, 97, 11] from Operation: 18-7=11 Current State: 65:[43, 97, 11], Operations: ['18-7=11'] Exploring Operation: 97-43=54, Resulting Numbers: [11, 54] Generated Node #3: [11, 54] from Operation: 97-43=54 Current State: 65:[11, 54], Operations: ['18-7=11', '97-43=54'] Exploring Operation: 11+54=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 75, 88, 74, 23 ]
66
[ "75+88=163", "74+23=97", "163-97=66" ]
Current State: 66:[75, 88, 74, 23], Operations: [] Exploring Operation: 75+88=163, Resulting Numbers: [74, 23, 163] Generated Node #2: [74, 23, 163] from Operation: 75+88=163 Current State: 66:[74, 23, 163], Operations: ['75+88=163'] Exploring Operation: 74+23=97, Resulting Numbers: [163, 97] Generated Node #3: [163, 97] from Operation: 74+23=97 Current State: 66:[163, 97], Operations: ['75+88=163', '74+23=97'] Exploring Operation: 163-97=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 96, 86, 51, 80 ]
59
[ "96-86=10", "80/10=8", "51+8=59" ]
Current State: 59:[96, 86, 51, 80], Operations: [] Exploring Operation: 96-86=10, Resulting Numbers: [51, 80, 10] Generated Node #2: [51, 80, 10] from Operation: 96-86=10 Current State: 59:[51, 80, 10], Operations: ['96-86=10'] Exploring Operation: 80/10=8, Resulting Numbers: [51, 8] Generated Node #3: [51, 8] from Operation: 80/10=8 Current State: 59:[51, 8], Operations: ['96-86=10', '80/10=8'] Exploring Operation: 51+8=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 66, 59, 4, 90 ]
98
[ "66+90=156", "156/4=39", "59+39=98" ]
Current State: 98:[66, 59, 4, 90], Operations: [] Exploring Operation: 66+90=156, Resulting Numbers: [59, 4, 156] Generated Node #2: [59, 4, 156] from Operation: 66+90=156 Current State: 98:[59, 4, 156], Operations: ['66+90=156'] Exploring Operation: 156/4=39, Resulting Numbers: [59, 39] Generated Node #3: [59, 39] from Operation: 156/4=39 Current State: 98:[59, 39], Operations: ['66+90=156', '156/4=39'] Exploring Operation: 59+39=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 43, 63, 13, 43 ]
77
[ "43/43=1", "63+13=76", "1+76=77" ]
Current State: 77:[43, 63, 13, 43], Operations: [] Exploring Operation: 43/43=1, Resulting Numbers: [63, 13, 1] Generated Node #2: [63, 13, 1] from Operation: 43/43=1 Current State: 77:[63, 13, 1], Operations: ['43/43=1'] Exploring Operation: 63+13=76, Resulting Numbers: [1, 76] Generated Node #3: [1, 76] from Operation: 63+13=76 Current State: 77:[1, 76], Operations: ['43/43=1', '63+13=76'] Exploring Operation: 1+76=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 18, 7, 30, 46 ]
20
[ "30-7=23", "46/23=2", "18+2=20" ]
Current State: 20:[18, 7, 30, 46], Operations: [] Exploring Operation: 30-7=23, Resulting Numbers: [18, 46, 23] Generated Node #2: [18, 46, 23] from Operation: 30-7=23 Current State: 20:[18, 46, 23], Operations: ['30-7=23'] Exploring Operation: 46/23=2, Resulting Numbers: [18, 2] Generated Node #3: [18, 2] from Operation: 46/23=2 Current State: 20:[18, 2], Operations: ['30-7=23', '46/23=2'] Exploring Operation: 18+2=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 8, 16, 96, 57 ]
47
[ "16-8=8", "96-57=39", "8+39=47" ]
Current State: 47:[8, 16, 96, 57], Operations: [] Exploring Operation: 16-8=8, Resulting Numbers: [96, 57, 8] Generated Node #2: [96, 57, 8] from Operation: 16-8=8 Current State: 47:[96, 57, 8], Operations: ['16-8=8'] Exploring Operation: 96-57=39, Resulting Numbers: [8, 39] Generated Node #3: [8, 39] from Operation: 96-57=39 Current State: 47:[8, 39], Operations: ['16-8=8', '96-57=39'] Exploring Operation: 8+39=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 52, 52, 68, 40 ]
68
[ "52-52=0", "40*0=0", "68+0=68" ]
Current State: 68:[52, 52, 68, 40], Operations: [] Exploring Operation: 52-52=0, Resulting Numbers: [68, 40, 0] Generated Node #2: [68, 40, 0] from Operation: 52-52=0 Current State: 68:[68, 40, 0], Operations: ['52-52=0'] Exploring Operation: 40*0=0, Resulting Numbers: [68, 0] Generated Node #3: [68, 0] from Operation: 40*0=0 Current State: 68:[68, 0], Operations: ['52-52=0', '40*0=0'] Exploring Operation: 68+0=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 25, 70, 85, 38 ]
34
[ "25+70=95", "85*38=3230", "3230/95=34" ]
Current State: 34:[25, 70, 85, 38], Operations: [] Exploring Operation: 25+70=95, Resulting Numbers: [85, 38, 95] Generated Node #2: [85, 38, 95] from Operation: 25+70=95 Current State: 34:[85, 38, 95], Operations: ['25+70=95'] Exploring Operation: 85*38=3230, Resulting Numbers: [95, 3230] Generated Node #3: [95, 3230] from Operation: 85*38=3230 Current State: 34:[95, 3230], Operations: ['25+70=95', '85*38=3230'] Exploring Operation: 3230/95=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 5, 83, 78, 53 ]
54
[ "83-5=78", "78/78=1", "53+1=54" ]
Current State: 54:[5, 83, 78, 53], Operations: [] Exploring Operation: 83-5=78, Resulting Numbers: [78, 53, 78] Generated Node #2: [78, 53, 78] from Operation: 83-5=78 Current State: 54:[78, 53, 78], Operations: ['83-5=78'] Exploring Operation: 78/78=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 78/78=1 Current State: 54:[53, 1], Operations: ['83-5=78', '78/78=1'] Exploring Operation: 53+1=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 19, 39, 66, 22 ]
55
[ "19+39=58", "66/22=3", "58-3=55" ]
Current State: 55:[19, 39, 66, 22], Operations: [] Exploring Operation: 19+39=58, Resulting Numbers: [66, 22, 58] Generated Node #2: [66, 22, 58] from Operation: 19+39=58 Current State: 55:[66, 22, 58], Operations: ['19+39=58'] Exploring Operation: 66/22=3, Resulting Numbers: [58, 3] Generated Node #3: [58, 3] from Operation: 66/22=3 Current State: 55:[58, 3], Operations: ['19+39=58', '66/22=3'] Exploring Operation: 58-3=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 89, 82, 16, 46 ]
66
[ "89-82=7", "16*7=112", "112-46=66" ]
Current State: 66:[89, 82, 16, 46], Operations: [] Exploring Operation: 89-82=7, Resulting Numbers: [16, 46, 7] Generated Node #2: [16, 46, 7] from Operation: 89-82=7 Current State: 66:[16, 46, 7], Operations: ['89-82=7'] Exploring Operation: 16*7=112, Resulting Numbers: [46, 112] Generated Node #3: [46, 112] from Operation: 16*7=112 Current State: 66:[46, 112], Operations: ['89-82=7', '16*7=112'] Exploring Operation: 112-46=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 83, 80, 38, 66 ]
59
[ "83+80=163", "38+66=104", "163-104=59" ]
Current State: 59:[83, 80, 38, 66], Operations: [] Exploring Operation: 83+80=163, Resulting Numbers: [38, 66, 163] Generated Node #2: [38, 66, 163] from Operation: 83+80=163 Current State: 59:[38, 66, 163], Operations: ['83+80=163'] Exploring Operation: 38+66=104, Resulting Numbers: [163, 104] Generated Node #3: [163, 104] from Operation: 38+66=104 Current State: 59:[163, 104], Operations: ['83+80=163', '38+66=104'] Exploring Operation: 163-104=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 7, 8, 28, 90 ]
18
[ "8+28=36", "90+36=126", "126/7=18" ]
Current State: 18:[7, 8, 28, 90], Operations: [] Exploring Operation: 8+28=36, Resulting Numbers: [7, 90, 36] Generated Node #2: [7, 90, 36] from Operation: 8+28=36 Current State: 18:[7, 90, 36], Operations: ['8+28=36'] Exploring Operation: 90+36=126, Resulting Numbers: [7, 126] Generated Node #3: [7, 126] from Operation: 90+36=126 Current State: 18:[7, 126], Operations: ['8+28=36', '90+36=126'] Exploring Operation: 126/7=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 69, 39, 67, 67 ]
14
[ "69-67=2", "67-39=28", "28/2=14" ]
Current State: 14:[69, 39, 67, 67], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [39, 2] Generated Node #2: [39, 2] from Operation: 69-67=2 Current State: 14:[39, 2], Operations: ['69-67=2'] Exploring Operation: 67-39=28, Resulting Numbers: [2, 28] Generated Node #3: [2, 28] from Operation: 67-39=28 Current State: 14:[2, 28], Operations: ['69-67=2', '67-39=28'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 42, 62, 42, 77 ]
14
[ "42/42=1", "77-62=15", "15-1=14" ]
Current State: 14:[42, 62, 42, 77], Operations: [] Exploring Operation: 42/42=1, Resulting Numbers: [62, 77, 1] Generated Node #2: [62, 77, 1] from Operation: 42/42=1 Current State: 14:[62, 77, 1], Operations: ['42/42=1'] Exploring Operation: 77-62=15, Resulting Numbers: [1, 15] Generated Node #3: [1, 15] from Operation: 77-62=15 Current State: 14:[1, 15], Operations: ['42/42=1', '77-62=15'] Exploring Operation: 15-1=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 48, 16, 34, 19 ]
11
[ "48+16=64", "34+19=53", "64-53=11" ]
Current State: 11:[48, 16, 34, 19], Operations: [] Exploring Operation: 48+16=64, Resulting Numbers: [34, 19, 64] Generated Node #2: [34, 19, 64] from Operation: 48+16=64 Current State: 11:[34, 19, 64], Operations: ['48+16=64'] Exploring Operation: 34+19=53, Resulting Numbers: [64, 53] Generated Node #3: [64, 53] from Operation: 34+19=53 Current State: 11:[64, 53], Operations: ['48+16=64', '34+19=53'] Exploring Operation: 64-53=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 73, 27, 27, 30 ]
82
[ "30-27=3", "27/3=9", "73+9=82" ]
Current State: 82:[73, 27, 27, 30], Operations: [] Exploring Operation: 30-27=3, Resulting Numbers: [73, 3] Generated Node #2: [73, 3] from Operation: 30-27=3 Current State: 82:[73, 3], Operations: ['30-27=3'] Exploring Operation: 27/3=9, Resulting Numbers: [73, 9] Generated Node #3: [73, 9] from Operation: 27/3=9 Current State: 82:[73, 9], Operations: ['30-27=3', '27/3=9'] Exploring Operation: 73+9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 28, 49, 34, 21 ]
46
[ "28*21=588", "588/49=12", "34+12=46" ]
Current State: 46:[28, 49, 34, 21], Operations: [] Exploring Operation: 28*21=588, Resulting Numbers: [49, 34, 588] Generated Node #2: [49, 34, 588] from Operation: 28*21=588 Current State: 46:[49, 34, 588], Operations: ['28*21=588'] Exploring Operation: 588/49=12, Resulting Numbers: [34, 12] Generated Node #3: [34, 12] from Operation: 588/49=12 Current State: 46:[34, 12], Operations: ['28*21=588', '588/49=12'] Exploring Operation: 34+12=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 60, 99, 53, 94 ]
41
[ "99-94=5", "60/5=12", "53-12=41" ]
Current State: 41:[60, 99, 53, 94], Operations: [] Exploring Operation: 99-94=5, Resulting Numbers: [60, 53, 5] Generated Node #2: [60, 53, 5] from Operation: 99-94=5 Current State: 41:[60, 53, 5], Operations: ['99-94=5'] Exploring Operation: 60/5=12, Resulting Numbers: [53, 12] Generated Node #3: [53, 12] from Operation: 60/5=12 Current State: 41:[53, 12], Operations: ['99-94=5', '60/5=12'] Exploring Operation: 53-12=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 53, 53, 47, 42 ]
42
[ "53-53=0", "47*0=0", "42+0=42" ]
Current State: 42:[53, 53, 47, 42], Operations: [] Exploring Operation: 53-53=0, Resulting Numbers: [47, 42, 0] Generated Node #2: [47, 42, 0] from Operation: 53-53=0 Current State: 42:[47, 42, 0], Operations: ['53-53=0'] Exploring Operation: 47*0=0, Resulting Numbers: [42, 0] Generated Node #3: [42, 0] from Operation: 47*0=0 Current State: 42:[42, 0], Operations: ['53-53=0', '47*0=0'] Exploring Operation: 42+0=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 1, 71, 56, 39 ]
89
[ "1+71=72", "56-39=17", "72+17=89" ]
Current State: 89:[1, 71, 56, 39], Operations: [] Exploring Operation: 1+71=72, Resulting Numbers: [56, 39, 72] Generated Node #2: [56, 39, 72] from Operation: 1+71=72 Current State: 89:[56, 39, 72], Operations: ['1+71=72'] Exploring Operation: 56-39=17, Resulting Numbers: [72, 17] Generated Node #3: [72, 17] from Operation: 56-39=17 Current State: 89:[72, 17], Operations: ['1+71=72', '56-39=17'] Exploring Operation: 72+17=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 60, 20, 94, 30 ]
44
[ "60+20=80", "94+30=124", "124-80=44" ]
Current State: 44:[60, 20, 94, 30], Operations: [] Exploring Operation: 60+20=80, Resulting Numbers: [94, 30, 80] Generated Node #2: [94, 30, 80] from Operation: 60+20=80 Current State: 44:[94, 30, 80], Operations: ['60+20=80'] Exploring Operation: 94+30=124, Resulting Numbers: [80, 124] Generated Node #3: [80, 124] from Operation: 94+30=124 Current State: 44:[80, 124], Operations: ['60+20=80', '94+30=124'] Exploring Operation: 124-80=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4