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
[ 65, 48, 85, 32 ]
13
[ "85-48=37", "37-32=5", "65/5=13" ]
Current State: 13:[65, 48, 85, 32], Operations: [] Exploring Operation: 85-48=37, Resulting Numbers: [65, 32, 37] Generated Node #2: [65, 32, 37] from Operation: 85-48=37 Current State: 13:[65, 32, 37], Operations: ['85-48=37'] Exploring Operation: 37-32=5, Resulting Numbers: [65, 5] Generated Node #3: [65, 5] from Operation: 37-32=5 Current State: 13:[65, 5], Operations: ['85-48=37', '37-32=5'] Exploring Operation: 65/5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 66, 11, 49, 13 ]
82
[ "13-11=2", "66/2=33", "49+33=82" ]
Current State: 82:[66, 11, 49, 13], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [66, 49, 2] Generated Node #2: [66, 49, 2] from Operation: 13-11=2 Current State: 82:[66, 49, 2], Operations: ['13-11=2'] Exploring Operation: 66/2=33, Resulting Numbers: [49, 33] Generated Node #3: [49, 33] from Operation: 66/2=33 Current State: 82:[49, 33], Operations: ['13-11=2', '66/2=33'] Exploring Operation: 49+33=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 19, 41, 4, 95 ]
69
[ "41-19=22", "95-4=91", "91-22=69" ]
Current State: 69:[19, 41, 4, 95], Operations: [] Exploring Operation: 41-19=22, Resulting Numbers: [4, 95, 22] Generated Node #2: [4, 95, 22] from Operation: 41-19=22 Current State: 69:[4, 95, 22], Operations: ['41-19=22'] Exploring Operation: 95-4=91, Resulting Numbers: [22, 91] Generated Node #3: [22, 91] from Operation: 95-4=91 Current State: 69:[22, 91], Operations: ['41-19=22', '95-4=91'] Exploring Operation: 91-22=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 96, 24, 48, 38 ]
17
[ "24*38=912", "912-96=816", "816/48=17" ]
Current State: 17:[96, 24, 48, 38], Operations: [] Exploring Operation: 24*38=912, Resulting Numbers: [96, 48, 912] Generated Node #2: [96, 48, 912] from Operation: 24*38=912 Current State: 17:[96, 48, 912], Operations: ['24*38=912'] Exploring Operation: 912-96=816, Resulting Numbers: [48, 816] Generated Node #3: [48, 816] from Operation: 912-96=816 Current State: 17:[48, 816], Operations: ['24*38=912', '912-96=816'] Exploring Operation: 816/48=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 54, 12, 64, 90 ]
27
[ "54+90=144", "12*144=1728", "1728/64=27" ]
Current State: 27:[54, 12, 64, 90], Operations: [] Exploring Operation: 54+90=144, Resulting Numbers: [12, 64, 144] Generated Node #2: [12, 64, 144] from Operation: 54+90=144 Current State: 27:[12, 64, 144], Operations: ['54+90=144'] Exploring Operation: 12*144=1728, Resulting Numbers: [64, 1728] Generated Node #3: [64, 1728] from Operation: 12*144=1728 Current State: 27:[64, 1728], Operations: ['54+90=144', '12*144=1728'] Exploring Operation: 1728/64=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 46, 94, 69, 18 ]
82
[ "46*18=828", "828/69=12", "94-12=82" ]
Current State: 82:[46, 94, 69, 18], Operations: [] Exploring Operation: 46*18=828, Resulting Numbers: [94, 69, 828] Generated Node #2: [94, 69, 828] from Operation: 46*18=828 Current State: 82:[94, 69, 828], Operations: ['46*18=828'] Exploring Operation: 828/69=12, Resulting Numbers: [94, 12] Generated Node #3: [94, 12] from Operation: 828/69=12 Current State: 82:[94, 12], Operations: ['46*18=828', '828/69=12'] Exploring Operation: 94-12=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 52, 12, 29, 42 ]
16
[ "42-29=13", "52/13=4", "12+4=16" ]
Current State: 16:[52, 12, 29, 42], Operations: [] Exploring Operation: 42-29=13, Resulting Numbers: [52, 12, 13] Generated Node #2: [52, 12, 13] from Operation: 42-29=13 Current State: 16:[52, 12, 13], Operations: ['42-29=13'] Exploring Operation: 52/13=4, Resulting Numbers: [12, 4] Generated Node #3: [12, 4] from Operation: 52/13=4 Current State: 16:[12, 4], Operations: ['42-29=13', '52/13=4'] Exploring Operation: 12+4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 71, 16, 17, 18 ]
90
[ "71-16=55", "17+18=35", "55+35=90" ]
Current State: 90:[71, 16, 17, 18], Operations: [] Exploring Operation: 71-16=55, Resulting Numbers: [17, 18, 55] Generated Node #2: [17, 18, 55] from Operation: 71-16=55 Current State: 90:[17, 18, 55], Operations: ['71-16=55'] Exploring Operation: 17+18=35, Resulting Numbers: [55, 35] Generated Node #3: [55, 35] from Operation: 17+18=35 Current State: 90:[55, 35], Operations: ['71-16=55', '17+18=35'] Exploring Operation: 55+35=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 36, 3, 99, 47 ]
38
[ "36*3=108", "99+47=146", "146-108=38" ]
Current State: 38:[36, 3, 99, 47], Operations: [] Exploring Operation: 36*3=108, Resulting Numbers: [99, 47, 108] Generated Node #2: [99, 47, 108] from Operation: 36*3=108 Current State: 38:[99, 47, 108], Operations: ['36*3=108'] Exploring Operation: 99+47=146, Resulting Numbers: [108, 146] Generated Node #3: [108, 146] from Operation: 99+47=146 Current State: 38:[108, 146], Operations: ['36*3=108', '99+47=146'] Exploring Operation: 146-108=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 75, 5, 74, 22 ]
26
[ "75-5=70", "74+22=96", "96-70=26" ]
Current State: 26:[75, 5, 74, 22], Operations: [] Exploring Operation: 75-5=70, Resulting Numbers: [74, 22, 70] Generated Node #2: [74, 22, 70] from Operation: 75-5=70 Current State: 26:[74, 22, 70], Operations: ['75-5=70'] Exploring Operation: 74+22=96, Resulting Numbers: [70, 96] Generated Node #3: [70, 96] from Operation: 74+22=96 Current State: 26:[70, 96], Operations: ['75-5=70', '74+22=96'] Exploring Operation: 96-70=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 34, 76, 19, 12 ]
14
[ "76/19=4", "12*4=48", "48-34=14" ]
Current State: 14:[34, 76, 19, 12], Operations: [] Exploring Operation: 76/19=4, Resulting Numbers: [34, 12, 4] Generated Node #2: [34, 12, 4] from Operation: 76/19=4 Current State: 14:[34, 12, 4], Operations: ['76/19=4'] Exploring Operation: 12*4=48, Resulting Numbers: [34, 48] Generated Node #3: [34, 48] from Operation: 12*4=48 Current State: 14:[34, 48], Operations: ['76/19=4', '12*4=48'] Exploring Operation: 48-34=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 70, 78, 3, 9 ]
99
[ "78-70=8", "3+8=11", "9*11=99" ]
Current State: 99:[70, 78, 3, 9], Operations: [] Exploring Operation: 78-70=8, Resulting Numbers: [3, 9, 8] Generated Node #2: [3, 9, 8] from Operation: 78-70=8 Current State: 99:[3, 9, 8], Operations: ['78-70=8'] Exploring Operation: 3+8=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 3+8=11 Current State: 99:[9, 11], Operations: ['78-70=8', '3+8=11'] Exploring Operation: 9*11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 57, 60, 48, 87 ]
36
[ "60-57=3", "87-48=39", "39-3=36" ]
Current State: 36:[57, 60, 48, 87], Operations: [] Exploring Operation: 60-57=3, Resulting Numbers: [48, 87, 3] Generated Node #2: [48, 87, 3] from Operation: 60-57=3 Current State: 36:[48, 87, 3], Operations: ['60-57=3'] Exploring Operation: 87-48=39, Resulting Numbers: [3, 39] Generated Node #3: [3, 39] from Operation: 87-48=39 Current State: 36:[3, 39], Operations: ['60-57=3', '87-48=39'] Exploring Operation: 39-3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 14, 2, 60, 66 ]
34
[ "14*2=28", "66-60=6", "28+6=34" ]
Current State: 34:[14, 2, 60, 66], Operations: [] Exploring Operation: 14*2=28, Resulting Numbers: [60, 66, 28] Generated Node #2: [60, 66, 28] from Operation: 14*2=28 Current State: 34:[60, 66, 28], Operations: ['14*2=28'] Exploring Operation: 66-60=6, Resulting Numbers: [28, 6] Generated Node #3: [28, 6] from Operation: 66-60=6 Current State: 34:[28, 6], Operations: ['14*2=28', '66-60=6'] Exploring Operation: 28+6=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 64, 99, 2, 56 ]
78
[ "64+56=120", "99*2=198", "198-120=78" ]
Current State: 78:[64, 99, 2, 56], Operations: [] Exploring Operation: 64+56=120, Resulting Numbers: [99, 2, 120] Generated Node #2: [99, 2, 120] from Operation: 64+56=120 Current State: 78:[99, 2, 120], Operations: ['64+56=120'] Exploring Operation: 99*2=198, Resulting Numbers: [120, 198] Generated Node #3: [120, 198] from Operation: 99*2=198 Current State: 78:[120, 198], Operations: ['64+56=120', '99*2=198'] Exploring Operation: 198-120=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 20, 31, 71, 2 ]
49
[ "31-20=11", "2*11=22", "71-22=49" ]
Current State: 49:[20, 31, 71, 2], Operations: [] Exploring Operation: 31-20=11, Resulting Numbers: [71, 2, 11] Generated Node #2: [71, 2, 11] from Operation: 31-20=11 Current State: 49:[71, 2, 11], Operations: ['31-20=11'] Exploring Operation: 2*11=22, Resulting Numbers: [71, 22] Generated Node #3: [71, 22] from Operation: 2*11=22 Current State: 49:[71, 22], Operations: ['31-20=11', '2*11=22'] Exploring Operation: 71-22=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 93, 31, 62, 6 ]
89
[ "93-6=87", "62/31=2", "87+2=89" ]
Current State: 89:[93, 31, 62, 6], Operations: [] Exploring Operation: 93-6=87, Resulting Numbers: [31, 62, 87] Generated Node #2: [31, 62, 87] from Operation: 93-6=87 Current State: 89:[31, 62, 87], Operations: ['93-6=87'] Exploring Operation: 62/31=2, Resulting Numbers: [87, 2] Generated Node #3: [87, 2] from Operation: 62/31=2 Current State: 89:[87, 2], Operations: ['93-6=87', '62/31=2'] Exploring Operation: 87+2=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 28, 31, 28, 66 ]
91
[ "31-28=3", "28+66=94", "94-3=91" ]
Current State: 91:[28, 31, 28, 66], Operations: [] Exploring Operation: 31-28=3, Resulting Numbers: [66, 3] Generated Node #2: [66, 3] from Operation: 31-28=3 Current State: 91:[66, 3], Operations: ['31-28=3'] Exploring Operation: 28+66=94, Resulting Numbers: [3, 94] Generated Node #3: [3, 94] from Operation: 28+66=94 Current State: 91:[3, 94], Operations: ['31-28=3', '28+66=94'] Exploring Operation: 94-3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 42, 60, 22, 15 ]
16
[ "42+22=64", "60/15=4", "64/4=16" ]
Current State: 16:[42, 60, 22, 15], Operations: [] Exploring Operation: 42+22=64, Resulting Numbers: [60, 15, 64] Generated Node #2: [60, 15, 64] from Operation: 42+22=64 Current State: 16:[60, 15, 64], Operations: ['42+22=64'] Exploring Operation: 60/15=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 60/15=4 Current State: 16:[64, 4], Operations: ['42+22=64', '60/15=4'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 92, 10, 19, 88 ]
33
[ "92+10=102", "88-19=69", "102-69=33" ]
Current State: 33:[92, 10, 19, 88], Operations: [] Exploring Operation: 92+10=102, Resulting Numbers: [19, 88, 102] Generated Node #2: [19, 88, 102] from Operation: 92+10=102 Current State: 33:[19, 88, 102], Operations: ['92+10=102'] Exploring Operation: 88-19=69, Resulting Numbers: [102, 69] Generated Node #3: [102, 69] from Operation: 88-19=69 Current State: 33:[102, 69], Operations: ['92+10=102', '88-19=69'] Exploring Operation: 102-69=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 2, 64, 81, 19 ]
55
[ "2*19=38", "81-64=17", "38+17=55" ]
Current State: 55:[2, 64, 81, 19], Operations: [] Exploring Operation: 2*19=38, Resulting Numbers: [64, 81, 38] Generated Node #2: [64, 81, 38] from Operation: 2*19=38 Current State: 55:[64, 81, 38], Operations: ['2*19=38'] Exploring Operation: 81-64=17, Resulting Numbers: [38, 17] Generated Node #3: [38, 17] from Operation: 81-64=17 Current State: 55:[38, 17], Operations: ['2*19=38', '81-64=17'] Exploring Operation: 38+17=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 99, 8, 16, 21 ]
33
[ "8+16=24", "24-21=3", "99/3=33" ]
Current State: 33:[99, 8, 16, 21], Operations: [] Exploring Operation: 8+16=24, Resulting Numbers: [99, 21, 24] Generated Node #2: [99, 21, 24] from Operation: 8+16=24 Current State: 33:[99, 21, 24], Operations: ['8+16=24'] Exploring Operation: 24-21=3, Resulting Numbers: [99, 3] Generated Node #3: [99, 3] from Operation: 24-21=3 Current State: 33:[99, 3], Operations: ['8+16=24', '24-21=3'] Exploring Operation: 99/3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 22, 47, 14, 29 ]
88
[ "47-14=33", "33-29=4", "22*4=88" ]
Current State: 88:[22, 47, 14, 29], Operations: [] Exploring Operation: 47-14=33, Resulting Numbers: [22, 29, 33] Generated Node #2: [22, 29, 33] from Operation: 47-14=33 Current State: 88:[22, 29, 33], Operations: ['47-14=33'] Exploring Operation: 33-29=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 33-29=4 Current State: 88:[22, 4], Operations: ['47-14=33', '33-29=4'] Exploring Operation: 22*4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 81, 75, 29, 2 ]
41
[ "81-75=6", "2*6=12", "29+12=41" ]
Current State: 41:[81, 75, 29, 2], Operations: [] Exploring Operation: 81-75=6, Resulting Numbers: [29, 2, 6] Generated Node #2: [29, 2, 6] from Operation: 81-75=6 Current State: 41:[29, 2, 6], Operations: ['81-75=6'] Exploring Operation: 2*6=12, Resulting Numbers: [29, 12] Generated Node #3: [29, 12] from Operation: 2*6=12 Current State: 41:[29, 12], Operations: ['81-75=6', '2*6=12'] Exploring Operation: 29+12=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 98, 18, 77, 17 ]
20
[ "98-18=80", "77-17=60", "80-60=20" ]
Current State: 20:[98, 18, 77, 17], Operations: [] Exploring Operation: 98-18=80, Resulting Numbers: [77, 17, 80] Generated Node #2: [77, 17, 80] from Operation: 98-18=80 Current State: 20:[77, 17, 80], Operations: ['98-18=80'] Exploring Operation: 77-17=60, Resulting Numbers: [80, 60] Generated Node #3: [80, 60] from Operation: 77-17=60 Current State: 20:[80, 60], Operations: ['98-18=80', '77-17=60'] Exploring Operation: 80-60=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 53, 91, 54, 59 ]
31
[ "53+91=144", "54+59=113", "144-113=31" ]
Current State: 31:[53, 91, 54, 59], Operations: [] Exploring Operation: 53+91=144, Resulting Numbers: [54, 59, 144] Generated Node #2: [54, 59, 144] from Operation: 53+91=144 Current State: 31:[54, 59, 144], Operations: ['53+91=144'] Exploring Operation: 54+59=113, Resulting Numbers: [144, 113] Generated Node #3: [144, 113] from Operation: 54+59=113 Current State: 31:[144, 113], Operations: ['53+91=144', '54+59=113'] Exploring Operation: 144-113=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 43, 2, 8, 52 ]
85
[ "43-2=41", "52-8=44", "41+44=85" ]
Current State: 85:[43, 2, 8, 52], Operations: [] Exploring Operation: 43-2=41, Resulting Numbers: [8, 52, 41] Generated Node #2: [8, 52, 41] from Operation: 43-2=41 Current State: 85:[8, 52, 41], Operations: ['43-2=41'] Exploring Operation: 52-8=44, Resulting Numbers: [41, 44] Generated Node #3: [41, 44] from Operation: 52-8=44 Current State: 85:[41, 44], Operations: ['43-2=41', '52-8=44'] Exploring Operation: 41+44=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 94, 72, 74, 76 ]
56
[ "74-72=2", "76/2=38", "94-38=56" ]
Current State: 56:[94, 72, 74, 76], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [94, 76, 2] Generated Node #2: [94, 76, 2] from Operation: 74-72=2 Current State: 56:[94, 76, 2], Operations: ['74-72=2'] Exploring Operation: 76/2=38, Resulting Numbers: [94, 38] Generated Node #3: [94, 38] from Operation: 76/2=38 Current State: 56:[94, 38], Operations: ['74-72=2', '76/2=38'] Exploring Operation: 94-38=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 29, 94, 58, 87 ]
96
[ "29+87=116", "116/58=2", "94+2=96" ]
Current State: 96:[29, 94, 58, 87], Operations: [] Exploring Operation: 29+87=116, Resulting Numbers: [94, 58, 116] Generated Node #2: [94, 58, 116] from Operation: 29+87=116 Current State: 96:[94, 58, 116], Operations: ['29+87=116'] Exploring Operation: 116/58=2, Resulting Numbers: [94, 2] Generated Node #3: [94, 2] from Operation: 116/58=2 Current State: 96:[94, 2], Operations: ['29+87=116', '116/58=2'] Exploring Operation: 94+2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 15, 83, 42, 49 ]
40
[ "15+83=98", "98/49=2", "42-2=40" ]
Current State: 40:[15, 83, 42, 49], Operations: [] Exploring Operation: 15+83=98, Resulting Numbers: [42, 49, 98] Generated Node #2: [42, 49, 98] from Operation: 15+83=98 Current State: 40:[42, 49, 98], Operations: ['15+83=98'] Exploring Operation: 98/49=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 98/49=2 Current State: 40:[42, 2], Operations: ['15+83=98', '98/49=2'] Exploring Operation: 42-2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 69, 46, 42, 92 ]
12
[ "69+92=161", "46*42=1932", "1932/161=12" ]
Current State: 12:[69, 46, 42, 92], Operations: [] Exploring Operation: 69+92=161, Resulting Numbers: [46, 42, 161] Generated Node #2: [46, 42, 161] from Operation: 69+92=161 Current State: 12:[46, 42, 161], Operations: ['69+92=161'] Exploring Operation: 46*42=1932, Resulting Numbers: [161, 1932] Generated Node #3: [161, 1932] from Operation: 46*42=1932 Current State: 12:[161, 1932], Operations: ['69+92=161', '46*42=1932'] Exploring Operation: 1932/161=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 68, 69, 23, 96 ]
72
[ "69-68=1", "96-23=73", "73-1=72" ]
Current State: 72:[68, 69, 23, 96], Operations: [] Exploring Operation: 69-68=1, Resulting Numbers: [23, 96, 1] Generated Node #2: [23, 96, 1] from Operation: 69-68=1 Current State: 72:[23, 96, 1], Operations: ['69-68=1'] Exploring Operation: 96-23=73, Resulting Numbers: [1, 73] Generated Node #3: [1, 73] from Operation: 96-23=73 Current State: 72:[1, 73], Operations: ['69-68=1', '96-23=73'] Exploring Operation: 73-1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 60, 39, 36, 26 ]
78
[ "60-36=24", "26-24=2", "39*2=78" ]
Current State: 78:[60, 39, 36, 26], Operations: [] Exploring Operation: 60-36=24, Resulting Numbers: [39, 26, 24] Generated Node #2: [39, 26, 24] from Operation: 60-36=24 Current State: 78:[39, 26, 24], Operations: ['60-36=24'] Exploring Operation: 26-24=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 26-24=2 Current State: 78:[39, 2], Operations: ['60-36=24', '26-24=2'] Exploring Operation: 39*2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 80, 42, 84, 21 ]
86
[ "42+84=126", "126/21=6", "80+6=86" ]
Current State: 86:[80, 42, 84, 21], Operations: [] Exploring Operation: 42+84=126, Resulting Numbers: [80, 21, 126] Generated Node #2: [80, 21, 126] from Operation: 42+84=126 Current State: 86:[80, 21, 126], Operations: ['42+84=126'] Exploring Operation: 126/21=6, Resulting Numbers: [80, 6] Generated Node #3: [80, 6] from Operation: 126/21=6 Current State: 86:[80, 6], Operations: ['42+84=126', '126/21=6'] Exploring Operation: 80+6=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 3, 26, 2, 30 ]
54
[ "3*26=78", "30+78=108", "108/2=54" ]
Current State: 54:[3, 26, 2, 30], Operations: [] Exploring Operation: 3*26=78, Resulting Numbers: [2, 30, 78] Generated Node #2: [2, 30, 78] from Operation: 3*26=78 Current State: 54:[2, 30, 78], Operations: ['3*26=78'] Exploring Operation: 30+78=108, Resulting Numbers: [2, 108] Generated Node #3: [2, 108] from Operation: 30+78=108 Current State: 54:[2, 108], Operations: ['3*26=78', '30+78=108'] Exploring Operation: 108/2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 19, 25, 89, 32 ]
75
[ "89-32=57", "57/19=3", "25*3=75" ]
Current State: 75:[19, 25, 89, 32], Operations: [] Exploring Operation: 89-32=57, Resulting Numbers: [19, 25, 57] Generated Node #2: [19, 25, 57] from Operation: 89-32=57 Current State: 75:[19, 25, 57], Operations: ['89-32=57'] Exploring Operation: 57/19=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 57/19=3 Current State: 75:[25, 3], Operations: ['89-32=57', '57/19=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 52, 78, 28, 80 ]
48
[ "52-28=24", "80-78=2", "24*2=48" ]
Current State: 48:[52, 78, 28, 80], Operations: [] Exploring Operation: 52-28=24, Resulting Numbers: [78, 80, 24] Generated Node #2: [78, 80, 24] from Operation: 52-28=24 Current State: 48:[78, 80, 24], Operations: ['52-28=24'] Exploring Operation: 80-78=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 80-78=2 Current State: 48:[24, 2], Operations: ['52-28=24', '80-78=2'] Exploring Operation: 24*2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 72, 53, 99, 92 ]
12
[ "72-53=19", "99-92=7", "19-7=12" ]
Current State: 12:[72, 53, 99, 92], Operations: [] Exploring Operation: 72-53=19, Resulting Numbers: [99, 92, 19] Generated Node #2: [99, 92, 19] from Operation: 72-53=19 Current State: 12:[99, 92, 19], Operations: ['72-53=19'] Exploring Operation: 99-92=7, Resulting Numbers: [19, 7] Generated Node #3: [19, 7] from Operation: 99-92=7 Current State: 12:[19, 7], Operations: ['72-53=19', '99-92=7'] Exploring Operation: 19-7=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 69, 58, 92, 30 ]
66
[ "58+30=88", "69*88=6072", "6072/92=66" ]
Current State: 66:[69, 58, 92, 30], Operations: [] Exploring Operation: 58+30=88, Resulting Numbers: [69, 92, 88] Generated Node #2: [69, 92, 88] from Operation: 58+30=88 Current State: 66:[69, 92, 88], Operations: ['58+30=88'] Exploring Operation: 69*88=6072, Resulting Numbers: [92, 6072] Generated Node #3: [92, 6072] from Operation: 69*88=6072 Current State: 66:[92, 6072], Operations: ['58+30=88', '69*88=6072'] Exploring Operation: 6072/92=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 56, 41, 3, 54 ]
40
[ "56+41=97", "3+54=57", "97-57=40" ]
Current State: 40:[56, 41, 3, 54], Operations: [] Exploring Operation: 56+41=97, Resulting Numbers: [3, 54, 97] Generated Node #2: [3, 54, 97] from Operation: 56+41=97 Current State: 40:[3, 54, 97], Operations: ['56+41=97'] Exploring Operation: 3+54=57, Resulting Numbers: [97, 57] Generated Node #3: [97, 57] from Operation: 3+54=57 Current State: 40:[97, 57], Operations: ['56+41=97', '3+54=57'] Exploring Operation: 97-57=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 96, 4, 93, 86 ]
68
[ "93-86=7", "4*7=28", "96-28=68" ]
Current State: 68:[96, 4, 93, 86], Operations: [] Exploring Operation: 93-86=7, Resulting Numbers: [96, 4, 7] Generated Node #2: [96, 4, 7] from Operation: 93-86=7 Current State: 68:[96, 4, 7], Operations: ['93-86=7'] Exploring Operation: 4*7=28, Resulting Numbers: [96, 28] Generated Node #3: [96, 28] from Operation: 4*7=28 Current State: 68:[96, 28], Operations: ['93-86=7', '4*7=28'] Exploring Operation: 96-28=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 90, 88, 19, 53 ]
74
[ "90-88=2", "19+53=72", "2+72=74" ]
Current State: 74:[90, 88, 19, 53], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [19, 53, 2] Generated Node #2: [19, 53, 2] from Operation: 90-88=2 Current State: 74:[19, 53, 2], Operations: ['90-88=2'] Exploring Operation: 19+53=72, Resulting Numbers: [2, 72] Generated Node #3: [2, 72] from Operation: 19+53=72 Current State: 74:[2, 72], Operations: ['90-88=2', '19+53=72'] Exploring Operation: 2+72=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 6, 18, 14, 12 ]
34
[ "12/6=2", "18+14=32", "2+32=34" ]
Current State: 34:[6, 18, 14, 12], Operations: [] Exploring Operation: 12/6=2, Resulting Numbers: [18, 14, 2] Generated Node #2: [18, 14, 2] from Operation: 12/6=2 Current State: 34:[18, 14, 2], Operations: ['12/6=2'] Exploring Operation: 18+14=32, Resulting Numbers: [2, 32] Generated Node #3: [2, 32] from Operation: 18+14=32 Current State: 34:[2, 32], Operations: ['12/6=2', '18+14=32'] Exploring Operation: 2+32=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 78, 85, 32, 85 ]
47
[ "78-32=46", "85/85=1", "46+1=47" ]
Current State: 47:[78, 85, 32, 85], Operations: [] Exploring Operation: 78-32=46, Resulting Numbers: [85, 85, 46] Generated Node #2: [85, 85, 46] from Operation: 78-32=46 Current State: 47:[85, 85, 46], Operations: ['78-32=46'] Exploring Operation: 85/85=1, Resulting Numbers: [46, 1] Generated Node #3: [46, 1] from Operation: 85/85=1 Current State: 47:[46, 1], Operations: ['78-32=46', '85/85=1'] Exploring Operation: 46+1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 48, 33, 76, 32 ]
54
[ "33*32=1056", "1056/48=22", "76-22=54" ]
Current State: 54:[48, 33, 76, 32], Operations: [] Exploring Operation: 33*32=1056, Resulting Numbers: [48, 76, 1056] Generated Node #2: [48, 76, 1056] from Operation: 33*32=1056 Current State: 54:[48, 76, 1056], Operations: ['33*32=1056'] Exploring Operation: 1056/48=22, Resulting Numbers: [76, 22] Generated Node #3: [76, 22] from Operation: 1056/48=22 Current State: 54:[76, 22], Operations: ['33*32=1056', '1056/48=22'] Exploring Operation: 76-22=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 44, 14, 35, 86 ]
98
[ "44+35=79", "86-79=7", "14*7=98" ]
Current State: 98:[44, 14, 35, 86], Operations: [] Exploring Operation: 44+35=79, Resulting Numbers: [14, 86, 79] Generated Node #2: [14, 86, 79] from Operation: 44+35=79 Current State: 98:[14, 86, 79], Operations: ['44+35=79'] Exploring Operation: 86-79=7, Resulting Numbers: [14, 7] Generated Node #3: [14, 7] from Operation: 86-79=7 Current State: 98:[14, 7], Operations: ['44+35=79', '86-79=7'] Exploring Operation: 14*7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 47, 81, 20, 21 ]
35
[ "81-47=34", "21-20=1", "34+1=35" ]
Current State: 35:[47, 81, 20, 21], Operations: [] Exploring Operation: 81-47=34, Resulting Numbers: [20, 21, 34] Generated Node #2: [20, 21, 34] from Operation: 81-47=34 Current State: 35:[20, 21, 34], Operations: ['81-47=34'] Exploring Operation: 21-20=1, Resulting Numbers: [34, 1] Generated Node #3: [34, 1] from Operation: 21-20=1 Current State: 35:[34, 1], Operations: ['81-47=34', '21-20=1'] Exploring Operation: 34+1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 3, 11, 26, 93 ]
36
[ "26-11=15", "93+15=108", "108/3=36" ]
Current State: 36:[3, 11, 26, 93], Operations: [] Exploring Operation: 26-11=15, Resulting Numbers: [3, 93, 15] Generated Node #2: [3, 93, 15] from Operation: 26-11=15 Current State: 36:[3, 93, 15], Operations: ['26-11=15'] Exploring Operation: 93+15=108, Resulting Numbers: [3, 108] Generated Node #3: [3, 108] from Operation: 93+15=108 Current State: 36:[3, 108], Operations: ['26-11=15', '93+15=108'] Exploring Operation: 108/3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 63, 42, 73, 35 ]
59
[ "63-42=21", "73-35=38", "21+38=59" ]
Current State: 59:[63, 42, 73, 35], Operations: [] Exploring Operation: 63-42=21, Resulting Numbers: [73, 35, 21] Generated Node #2: [73, 35, 21] from Operation: 63-42=21 Current State: 59:[73, 35, 21], Operations: ['63-42=21'] Exploring Operation: 73-35=38, Resulting Numbers: [21, 38] Generated Node #3: [21, 38] from Operation: 73-35=38 Current State: 59:[21, 38], Operations: ['63-42=21', '73-35=38'] Exploring Operation: 21+38=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 66, 61, 43, 85 ]
47
[ "66-61=5", "85-43=42", "5+42=47" ]
Current State: 47:[66, 61, 43, 85], Operations: [] Exploring Operation: 66-61=5, Resulting Numbers: [43, 85, 5] Generated Node #2: [43, 85, 5] from Operation: 66-61=5 Current State: 47:[43, 85, 5], Operations: ['66-61=5'] Exploring Operation: 85-43=42, Resulting Numbers: [5, 42] Generated Node #3: [5, 42] from Operation: 85-43=42 Current State: 47:[5, 42], Operations: ['66-61=5', '85-43=42'] Exploring Operation: 5+42=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 14, 78, 68, 38 ]
14
[ "14+78=92", "68+38=106", "106-92=14" ]
Current State: 14:[14, 78, 68, 38], Operations: [] Exploring Operation: 14+78=92, Resulting Numbers: [68, 38, 92] Generated Node #2: [68, 38, 92] from Operation: 14+78=92 Current State: 14:[68, 38, 92], Operations: ['14+78=92'] Exploring Operation: 68+38=106, Resulting Numbers: [92, 106] Generated Node #3: [92, 106] from Operation: 68+38=106 Current State: 14:[92, 106], Operations: ['14+78=92', '68+38=106'] Exploring Operation: 106-92=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 25, 50, 70, 11 ]
79
[ "50/25=2", "70+11=81", "81-2=79" ]
Current State: 79:[25, 50, 70, 11], Operations: [] Exploring Operation: 50/25=2, Resulting Numbers: [70, 11, 2] Generated Node #2: [70, 11, 2] from Operation: 50/25=2 Current State: 79:[70, 11, 2], Operations: ['50/25=2'] Exploring Operation: 70+11=81, Resulting Numbers: [2, 81] Generated Node #3: [2, 81] from Operation: 70+11=81 Current State: 79:[2, 81], Operations: ['50/25=2', '70+11=81'] Exploring Operation: 81-2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 77, 80, 5, 8 ]
64
[ "80-77=3", "5+3=8", "8*8=64" ]
Current State: 64:[77, 80, 5, 8], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [5, 8, 3] Generated Node #2: [5, 8, 3] from Operation: 80-77=3 Current State: 64:[5, 8, 3], Operations: ['80-77=3'] Exploring Operation: 5+3=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 5+3=8 Current State: 64:[8, 8], Operations: ['80-77=3', '5+3=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 36, 21, 3, 62 ]
35
[ "36+62=98", "21*3=63", "98-63=35" ]
Current State: 35:[36, 21, 3, 62], Operations: [] Exploring Operation: 36+62=98, Resulting Numbers: [21, 3, 98] Generated Node #2: [21, 3, 98] from Operation: 36+62=98 Current State: 35:[21, 3, 98], Operations: ['36+62=98'] Exploring Operation: 21*3=63, Resulting Numbers: [98, 63] Generated Node #3: [98, 63] from Operation: 21*3=63 Current State: 35:[98, 63], Operations: ['36+62=98', '21*3=63'] Exploring Operation: 98-63=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 8, 10, 40, 16 ]
70
[ "40/8=5", "16*5=80", "80-10=70" ]
Current State: 70:[8, 10, 40, 16], Operations: [] Exploring Operation: 40/8=5, Resulting Numbers: [10, 16, 5] Generated Node #2: [10, 16, 5] from Operation: 40/8=5 Current State: 70:[10, 16, 5], Operations: ['40/8=5'] Exploring Operation: 16*5=80, Resulting Numbers: [10, 80] Generated Node #3: [10, 80] from Operation: 16*5=80 Current State: 70:[10, 80], Operations: ['40/8=5', '16*5=80'] Exploring Operation: 80-10=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 67, 68, 3, 67 ]
68
[ "67-67=0", "3*0=0", "68+0=68" ]
Current State: 68:[67, 68, 3, 67], Operations: [] Exploring Operation: 67-67=0, Resulting Numbers: [68, 3, 0] Generated Node #2: [68, 3, 0] from Operation: 67-67=0 Current State: 68:[68, 3, 0], Operations: ['67-67=0'] Exploring Operation: 3*0=0, Resulting Numbers: [68, 0] Generated Node #3: [68, 0] from Operation: 3*0=0 Current State: 68:[68, 0], Operations: ['67-67=0', '3*0=0'] Exploring Operation: 68+0=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 59, 90, 26, 20 ]
40
[ "90*26=2340", "20+2340=2360", "2360/59=40" ]
Current State: 40:[59, 90, 26, 20], Operations: [] Exploring Operation: 90*26=2340, Resulting Numbers: [59, 20, 2340] Generated Node #2: [59, 20, 2340] from Operation: 90*26=2340 Current State: 40:[59, 20, 2340], Operations: ['90*26=2340'] Exploring Operation: 20+2340=2360, Resulting Numbers: [59, 2360] Generated Node #3: [59, 2360] from Operation: 20+2340=2360 Current State: 40:[59, 2360], Operations: ['90*26=2340', '20+2340=2360'] Exploring Operation: 2360/59=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 70, 68, 82, 83 ]
84
[ "70-68=2", "83*2=166", "166-82=84" ]
Current State: 84:[70, 68, 82, 83], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [82, 83, 2] Generated Node #2: [82, 83, 2] from Operation: 70-68=2 Current State: 84:[82, 83, 2], Operations: ['70-68=2'] Exploring Operation: 83*2=166, Resulting Numbers: [82, 166] Generated Node #3: [82, 166] from Operation: 83*2=166 Current State: 84:[82, 166], Operations: ['70-68=2', '83*2=166'] Exploring Operation: 166-82=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 19, 3, 43, 41 ]
61
[ "19+43=62", "3*41=123", "123-62=61" ]
Current State: 61:[19, 3, 43, 41], Operations: [] Exploring Operation: 19+43=62, Resulting Numbers: [3, 41, 62] Generated Node #2: [3, 41, 62] from Operation: 19+43=62 Current State: 61:[3, 41, 62], Operations: ['19+43=62'] Exploring Operation: 3*41=123, Resulting Numbers: [62, 123] Generated Node #3: [62, 123] from Operation: 3*41=123 Current State: 61:[62, 123], Operations: ['19+43=62', '3*41=123'] Exploring Operation: 123-62=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 43, 42, 68, 29 ]
12
[ "43+42=85", "68+29=97", "97-85=12" ]
Current State: 12:[43, 42, 68, 29], Operations: [] Exploring Operation: 43+42=85, Resulting Numbers: [68, 29, 85] Generated Node #2: [68, 29, 85] from Operation: 43+42=85 Current State: 12:[68, 29, 85], Operations: ['43+42=85'] Exploring Operation: 68+29=97, Resulting Numbers: [85, 97] Generated Node #3: [85, 97] from Operation: 68+29=97 Current State: 12:[85, 97], Operations: ['43+42=85', '68+29=97'] Exploring Operation: 97-85=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 7, 2, 91, 77 ]
91
[ "91-7=84", "2*84=168", "168-77=91" ]
Current State: 91:[7, 2, 91, 77], Operations: [] Exploring Operation: 91-7=84, Resulting Numbers: [2, 77, 84] Generated Node #2: [2, 77, 84] from Operation: 91-7=84 Current State: 91:[2, 77, 84], Operations: ['91-7=84'] Exploring Operation: 2*84=168, Resulting Numbers: [77, 168] Generated Node #3: [77, 168] from Operation: 2*84=168 Current State: 91:[77, 168], Operations: ['91-7=84', '2*84=168'] Exploring Operation: 168-77=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 69, 3, 98, 39 ]
70
[ "69*3=207", "98+39=137", "207-137=70" ]
Current State: 70:[69, 3, 98, 39], Operations: [] Exploring Operation: 69*3=207, Resulting Numbers: [98, 39, 207] Generated Node #2: [98, 39, 207] from Operation: 69*3=207 Current State: 70:[98, 39, 207], Operations: ['69*3=207'] Exploring Operation: 98+39=137, Resulting Numbers: [207, 137] Generated Node #3: [207, 137] from Operation: 98+39=137 Current State: 70:[207, 137], Operations: ['69*3=207', '98+39=137'] Exploring Operation: 207-137=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 8, 93, 17, 20 ]
48
[ "93-8=85", "17+20=37", "85-37=48" ]
Current State: 48:[8, 93, 17, 20], Operations: [] Exploring Operation: 93-8=85, Resulting Numbers: [17, 20, 85] Generated Node #2: [17, 20, 85] from Operation: 93-8=85 Current State: 48:[17, 20, 85], Operations: ['93-8=85'] Exploring Operation: 17+20=37, Resulting Numbers: [85, 37] Generated Node #3: [85, 37] from Operation: 17+20=37 Current State: 48:[85, 37], Operations: ['93-8=85', '17+20=37'] Exploring Operation: 85-37=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 36, 39, 17, 74 ]
18
[ "36+39=75", "74-17=57", "75-57=18" ]
Current State: 18:[36, 39, 17, 74], Operations: [] Exploring Operation: 36+39=75, Resulting Numbers: [17, 74, 75] Generated Node #2: [17, 74, 75] from Operation: 36+39=75 Current State: 18:[17, 74, 75], Operations: ['36+39=75'] Exploring Operation: 74-17=57, Resulting Numbers: [75, 57] Generated Node #3: [75, 57] from Operation: 74-17=57 Current State: 18:[75, 57], Operations: ['36+39=75', '74-17=57'] Exploring Operation: 75-57=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 39, 8, 28, 88 ]
69
[ "39+8=47", "28+88=116", "116-47=69" ]
Current State: 69:[39, 8, 28, 88], Operations: [] Exploring Operation: 39+8=47, Resulting Numbers: [28, 88, 47] Generated Node #2: [28, 88, 47] from Operation: 39+8=47 Current State: 69:[28, 88, 47], Operations: ['39+8=47'] Exploring Operation: 28+88=116, Resulting Numbers: [47, 116] Generated Node #3: [47, 116] from Operation: 28+88=116 Current State: 69:[47, 116], Operations: ['39+8=47', '28+88=116'] Exploring Operation: 116-47=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 98, 90, 77, 3 ]
59
[ "90-77=13", "3*13=39", "98-39=59" ]
Current State: 59:[98, 90, 77, 3], Operations: [] Exploring Operation: 90-77=13, Resulting Numbers: [98, 3, 13] Generated Node #2: [98, 3, 13] from Operation: 90-77=13 Current State: 59:[98, 3, 13], Operations: ['90-77=13'] Exploring Operation: 3*13=39, Resulting Numbers: [98, 39] Generated Node #3: [98, 39] from Operation: 3*13=39 Current State: 59:[98, 39], Operations: ['90-77=13', '3*13=39'] Exploring Operation: 98-39=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 2, 82, 31, 83 ]
19
[ "82-31=51", "2*51=102", "102-83=19" ]
Current State: 19:[2, 82, 31, 83], Operations: [] Exploring Operation: 82-31=51, Resulting Numbers: [2, 83, 51] Generated Node #2: [2, 83, 51] from Operation: 82-31=51 Current State: 19:[2, 83, 51], Operations: ['82-31=51'] Exploring Operation: 2*51=102, Resulting Numbers: [83, 102] Generated Node #3: [83, 102] from Operation: 2*51=102 Current State: 19:[83, 102], Operations: ['82-31=51', '2*51=102'] Exploring Operation: 102-83=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 66, 60, 34, 66 ]
93
[ "66/66=1", "60+34=94", "94-1=93" ]
Current State: 93:[66, 60, 34, 66], Operations: [] Exploring Operation: 66/66=1, Resulting Numbers: [60, 34, 1] Generated Node #2: [60, 34, 1] from Operation: 66/66=1 Current State: 93:[60, 34, 1], Operations: ['66/66=1'] Exploring Operation: 60+34=94, Resulting Numbers: [1, 94] Generated Node #3: [1, 94] from Operation: 60+34=94 Current State: 93:[1, 94], Operations: ['66/66=1', '60+34=94'] Exploring Operation: 94-1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 4, 19, 9, 2 ]
91
[ "4*9=36", "2*36=72", "19+72=91" ]
Current State: 91:[4, 19, 9, 2], Operations: [] Exploring Operation: 4*9=36, Resulting Numbers: [19, 2, 36] Generated Node #2: [19, 2, 36] from Operation: 4*9=36 Current State: 91:[19, 2, 36], Operations: ['4*9=36'] Exploring Operation: 2*36=72, Resulting Numbers: [19, 72] Generated Node #3: [19, 72] from Operation: 2*36=72 Current State: 91:[19, 72], Operations: ['4*9=36', '2*36=72'] Exploring Operation: 19+72=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 25, 27, 62, 70 ]
80
[ "25+27=52", "62+70=132", "132-52=80" ]
Current State: 80:[25, 27, 62, 70], Operations: [] Exploring Operation: 25+27=52, Resulting Numbers: [62, 70, 52] Generated Node #2: [62, 70, 52] from Operation: 25+27=52 Current State: 80:[62, 70, 52], Operations: ['25+27=52'] Exploring Operation: 62+70=132, Resulting Numbers: [52, 132] Generated Node #3: [52, 132] from Operation: 62+70=132 Current State: 80:[52, 132], Operations: ['25+27=52', '62+70=132'] Exploring Operation: 132-52=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 65, 97, 3, 45 ]
53
[ "65*3=195", "97+45=142", "195-142=53" ]
Current State: 53:[65, 97, 3, 45], Operations: [] Exploring Operation: 65*3=195, Resulting Numbers: [97, 45, 195] Generated Node #2: [97, 45, 195] from Operation: 65*3=195 Current State: 53:[97, 45, 195], Operations: ['65*3=195'] Exploring Operation: 97+45=142, Resulting Numbers: [195, 142] Generated Node #3: [195, 142] from Operation: 97+45=142 Current State: 53:[195, 142], Operations: ['65*3=195', '97+45=142'] Exploring Operation: 195-142=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 77, 65, 61, 45 ]
63
[ "77+45=122", "122/61=2", "65-2=63" ]
Current State: 63:[77, 65, 61, 45], Operations: [] Exploring Operation: 77+45=122, Resulting Numbers: [65, 61, 122] Generated Node #2: [65, 61, 122] from Operation: 77+45=122 Current State: 63:[65, 61, 122], Operations: ['77+45=122'] Exploring Operation: 122/61=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 122/61=2 Current State: 63:[65, 2], Operations: ['77+45=122', '122/61=2'] Exploring Operation: 65-2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 72, 25, 52, 7 ]
83
[ "25+52=77", "77/7=11", "72+11=83" ]
Current State: 83:[72, 25, 52, 7], Operations: [] Exploring Operation: 25+52=77, Resulting Numbers: [72, 7, 77] Generated Node #2: [72, 7, 77] from Operation: 25+52=77 Current State: 83:[72, 7, 77], Operations: ['25+52=77'] Exploring Operation: 77/7=11, Resulting Numbers: [72, 11] Generated Node #3: [72, 11] from Operation: 77/7=11 Current State: 83:[72, 11], Operations: ['25+52=77', '77/7=11'] Exploring Operation: 72+11=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 10, 44, 73, 19 ]
38
[ "10+44=54", "73+19=92", "92-54=38" ]
Current State: 38:[10, 44, 73, 19], Operations: [] Exploring Operation: 10+44=54, Resulting Numbers: [73, 19, 54] Generated Node #2: [73, 19, 54] from Operation: 10+44=54 Current State: 38:[73, 19, 54], Operations: ['10+44=54'] Exploring Operation: 73+19=92, Resulting Numbers: [54, 92] Generated Node #3: [54, 92] from Operation: 73+19=92 Current State: 38:[54, 92], Operations: ['10+44=54', '73+19=92'] Exploring Operation: 92-54=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 28, 60, 24, 56 ]
82
[ "56/28=2", "60+24=84", "84-2=82" ]
Current State: 82:[28, 60, 24, 56], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [60, 24, 2] Generated Node #2: [60, 24, 2] from Operation: 56/28=2 Current State: 82:[60, 24, 2], Operations: ['56/28=2'] Exploring Operation: 60+24=84, Resulting Numbers: [2, 84] Generated Node #3: [2, 84] from Operation: 60+24=84 Current State: 82:[2, 84], Operations: ['56/28=2', '60+24=84'] Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 15, 50, 4, 8 ]
23
[ "50-15=35", "4+8=12", "35-12=23" ]
Current State: 23:[15, 50, 4, 8], Operations: [] Exploring Operation: 50-15=35, Resulting Numbers: [4, 8, 35] Generated Node #2: [4, 8, 35] from Operation: 50-15=35 Current State: 23:[4, 8, 35], Operations: ['50-15=35'] Exploring Operation: 4+8=12, Resulting Numbers: [35, 12] Generated Node #3: [35, 12] from Operation: 4+8=12 Current State: 23:[35, 12], Operations: ['50-15=35', '4+8=12'] Exploring Operation: 35-12=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 84, 71, 35, 12 ]
99
[ "84/12=7", "71+35=106", "106-7=99" ]
Current State: 99:[84, 71, 35, 12], Operations: [] Exploring Operation: 84/12=7, Resulting Numbers: [71, 35, 7] Generated Node #2: [71, 35, 7] from Operation: 84/12=7 Current State: 99:[71, 35, 7], Operations: ['84/12=7'] Exploring Operation: 71+35=106, Resulting Numbers: [7, 106] Generated Node #3: [7, 106] from Operation: 71+35=106 Current State: 99:[7, 106], Operations: ['84/12=7', '71+35=106'] Exploring Operation: 106-7=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 1, 50, 45, 44 ]
39
[ "1*50=50", "45+44=89", "89-50=39" ]
Current State: 39:[1, 50, 45, 44], Operations: [] Exploring Operation: 1*50=50, Resulting Numbers: [45, 44, 50] Generated Node #2: [45, 44, 50] from Operation: 1*50=50 Current State: 39:[45, 44, 50], Operations: ['1*50=50'] Exploring Operation: 45+44=89, Resulting Numbers: [50, 89] Generated Node #3: [50, 89] from Operation: 45+44=89 Current State: 39:[50, 89], Operations: ['1*50=50', '45+44=89'] Exploring Operation: 89-50=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 50, 7, 2, 57 ]
63
[ "50-2=48", "57-48=9", "7*9=63" ]
Current State: 63:[50, 7, 2, 57], Operations: [] Exploring Operation: 50-2=48, Resulting Numbers: [7, 57, 48] Generated Node #2: [7, 57, 48] from Operation: 50-2=48 Current State: 63:[7, 57, 48], Operations: ['50-2=48'] Exploring Operation: 57-48=9, Resulting Numbers: [7, 9] Generated Node #3: [7, 9] from Operation: 57-48=9 Current State: 63:[7, 9], Operations: ['50-2=48', '57-48=9'] Exploring Operation: 7*9=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 60, 30, 60, 97 ]
97
[ "60-60=0", "30*0=0", "97+0=97" ]
Current State: 97:[60, 30, 60, 97], Operations: [] Exploring Operation: 60-60=0, Resulting Numbers: [30, 97, 0] Generated Node #2: [30, 97, 0] from Operation: 60-60=0 Current State: 97:[30, 97, 0], Operations: ['60-60=0'] Exploring Operation: 30*0=0, Resulting Numbers: [97, 0] Generated Node #3: [97, 0] from Operation: 30*0=0 Current State: 97:[97, 0], Operations: ['60-60=0', '30*0=0'] Exploring Operation: 97+0=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 84, 84, 23, 2 ]
23
[ "84-84=0", "2*0=0", "23+0=23" ]
Current State: 23:[84, 84, 23, 2], Operations: [] Exploring Operation: 84-84=0, Resulting Numbers: [23, 2, 0] Generated Node #2: [23, 2, 0] from Operation: 84-84=0 Current State: 23:[23, 2, 0], Operations: ['84-84=0'] Exploring Operation: 2*0=0, Resulting Numbers: [23, 0] Generated Node #3: [23, 0] from Operation: 2*0=0 Current State: 23:[23, 0], Operations: ['84-84=0', '2*0=0'] Exploring Operation: 23+0=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 82, 2, 94, 1 ]
71
[ "82*2=164", "94-1=93", "164-93=71" ]
Current State: 71:[82, 2, 94, 1], Operations: [] Exploring Operation: 82*2=164, Resulting Numbers: [94, 1, 164] Generated Node #2: [94, 1, 164] from Operation: 82*2=164 Current State: 71:[94, 1, 164], Operations: ['82*2=164'] Exploring Operation: 94-1=93, Resulting Numbers: [164, 93] Generated Node #3: [164, 93] from Operation: 94-1=93 Current State: 71:[164, 93], Operations: ['82*2=164', '94-1=93'] Exploring Operation: 164-93=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 54, 87, 7, 64 ]
11
[ "54+87=141", "141-64=77", "77/7=11" ]
Current State: 11:[54, 87, 7, 64], Operations: [] Exploring Operation: 54+87=141, Resulting Numbers: [7, 64, 141] Generated Node #2: [7, 64, 141] from Operation: 54+87=141 Current State: 11:[7, 64, 141], Operations: ['54+87=141'] Exploring Operation: 141-64=77, Resulting Numbers: [7, 77] Generated Node #3: [7, 77] from Operation: 141-64=77 Current State: 11:[7, 77], Operations: ['54+87=141', '141-64=77'] Exploring Operation: 77/7=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 90, 16, 19, 33 ]
41
[ "90+33=123", "19-16=3", "123/3=41" ]
Current State: 41:[90, 16, 19, 33], Operations: [] Exploring Operation: 90+33=123, Resulting Numbers: [16, 19, 123] Generated Node #2: [16, 19, 123] from Operation: 90+33=123 Current State: 41:[16, 19, 123], Operations: ['90+33=123'] Exploring Operation: 19-16=3, Resulting Numbers: [123, 3] Generated Node #3: [123, 3] from Operation: 19-16=3 Current State: 41:[123, 3], Operations: ['90+33=123', '19-16=3'] Exploring Operation: 123/3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 18, 6, 36, 11 ]
35
[ "18-6=12", "36+11=47", "47-12=35" ]
Current State: 35:[18, 6, 36, 11], Operations: [] Exploring Operation: 18-6=12, Resulting Numbers: [36, 11, 12] Generated Node #2: [36, 11, 12] from Operation: 18-6=12 Current State: 35:[36, 11, 12], Operations: ['18-6=12'] Exploring Operation: 36+11=47, Resulting Numbers: [12, 47] Generated Node #3: [12, 47] from Operation: 36+11=47 Current State: 35:[12, 47], Operations: ['18-6=12', '36+11=47'] Exploring Operation: 47-12=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 7, 27, 38, 95 ]
23
[ "7+27=34", "95-38=57", "57-34=23" ]
Current State: 23:[7, 27, 38, 95], Operations: [] Exploring Operation: 7+27=34, Resulting Numbers: [38, 95, 34] Generated Node #2: [38, 95, 34] from Operation: 7+27=34 Current State: 23:[38, 95, 34], Operations: ['7+27=34'] Exploring Operation: 95-38=57, Resulting Numbers: [34, 57] Generated Node #3: [34, 57] from Operation: 95-38=57 Current State: 23:[34, 57], Operations: ['7+27=34', '95-38=57'] Exploring Operation: 57-34=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 80, 38, 17, 28 ]
90
[ "38-28=10", "17*10=170", "170-80=90" ]
Current State: 90:[80, 38, 17, 28], Operations: [] Exploring Operation: 38-28=10, Resulting Numbers: [80, 17, 10] Generated Node #2: [80, 17, 10] from Operation: 38-28=10 Current State: 90:[80, 17, 10], Operations: ['38-28=10'] Exploring Operation: 17*10=170, Resulting Numbers: [80, 170] Generated Node #3: [80, 170] from Operation: 17*10=170 Current State: 90:[80, 170], Operations: ['38-28=10', '17*10=170'] Exploring Operation: 170-80=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 49, 89, 47, 20 ]
21
[ "47*20=940", "89+940=1029", "1029/49=21" ]
Current State: 21:[49, 89, 47, 20], Operations: [] Exploring Operation: 47*20=940, Resulting Numbers: [49, 89, 940] Generated Node #2: [49, 89, 940] from Operation: 47*20=940 Current State: 21:[49, 89, 940], Operations: ['47*20=940'] Exploring Operation: 89+940=1029, Resulting Numbers: [49, 1029] Generated Node #3: [49, 1029] from Operation: 89+940=1029 Current State: 21:[49, 1029], Operations: ['47*20=940', '89+940=1029'] Exploring Operation: 1029/49=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 3, 91, 14, 21 ]
27
[ "3*91=273", "273/21=13", "14+13=27" ]
Current State: 27:[3, 91, 14, 21], Operations: [] Exploring Operation: 3*91=273, Resulting Numbers: [14, 21, 273] Generated Node #2: [14, 21, 273] from Operation: 3*91=273 Current State: 27:[14, 21, 273], Operations: ['3*91=273'] Exploring Operation: 273/21=13, Resulting Numbers: [14, 13] Generated Node #3: [14, 13] from Operation: 273/21=13 Current State: 27:[14, 13], Operations: ['3*91=273', '273/21=13'] Exploring Operation: 14+13=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 28, 1, 21, 7 ]
31
[ "28*1=28", "21/7=3", "28+3=31" ]
Current State: 31:[28, 1, 21, 7], Operations: [] Exploring Operation: 28*1=28, Resulting Numbers: [21, 7, 28] Generated Node #2: [21, 7, 28] from Operation: 28*1=28 Current State: 31:[21, 7, 28], Operations: ['28*1=28'] Exploring Operation: 21/7=3, Resulting Numbers: [28, 3] Generated Node #3: [28, 3] from Operation: 21/7=3 Current State: 31:[28, 3], Operations: ['28*1=28', '21/7=3'] Exploring Operation: 28+3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 40, 27, 83, 80 ]
54
[ "80/40=2", "83-27=56", "56-2=54" ]
Current State: 54:[40, 27, 83, 80], Operations: [] Exploring Operation: 80/40=2, Resulting Numbers: [27, 83, 2] Generated Node #2: [27, 83, 2] from Operation: 80/40=2 Current State: 54:[27, 83, 2], Operations: ['80/40=2'] Exploring Operation: 83-27=56, Resulting Numbers: [2, 56] Generated Node #3: [2, 56] from Operation: 83-27=56 Current State: 54:[2, 56], Operations: ['80/40=2', '83-27=56'] Exploring Operation: 56-2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 4, 41, 6, 56 ]
84
[ "41-6=35", "4*35=140", "140-56=84" ]
Current State: 84:[4, 41, 6, 56], Operations: [] Exploring Operation: 41-6=35, Resulting Numbers: [4, 56, 35] Generated Node #2: [4, 56, 35] from Operation: 41-6=35 Current State: 84:[4, 56, 35], Operations: ['41-6=35'] Exploring Operation: 4*35=140, Resulting Numbers: [56, 140] Generated Node #3: [56, 140] from Operation: 4*35=140 Current State: 84:[56, 140], Operations: ['41-6=35', '4*35=140'] Exploring Operation: 140-56=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 1, 66, 18, 6 ]
28
[ "18-1=17", "66/6=11", "17+11=28" ]
Current State: 28:[1, 66, 18, 6], Operations: [] Exploring Operation: 18-1=17, Resulting Numbers: [66, 6, 17] Generated Node #2: [66, 6, 17] from Operation: 18-1=17 Current State: 28:[66, 6, 17], Operations: ['18-1=17'] Exploring Operation: 66/6=11, Resulting Numbers: [17, 11] Generated Node #3: [17, 11] from Operation: 66/6=11 Current State: 28:[17, 11], Operations: ['18-1=17', '66/6=11'] Exploring Operation: 17+11=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 82, 90, 24, 56 ]
24
[ "90-82=8", "56-24=32", "32-8=24" ]
Current State: 24:[82, 90, 24, 56], Operations: [] Exploring Operation: 90-82=8, Resulting Numbers: [24, 56, 8] Generated Node #2: [24, 56, 8] from Operation: 90-82=8 Current State: 24:[24, 56, 8], Operations: ['90-82=8'] Exploring Operation: 56-24=32, Resulting Numbers: [8, 32] Generated Node #3: [8, 32] from Operation: 56-24=32 Current State: 24:[8, 32], Operations: ['90-82=8', '56-24=32'] Exploring Operation: 32-8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 62, 70, 25, 17 ]
34
[ "70-62=8", "25+17=42", "42-8=34" ]
Current State: 34:[62, 70, 25, 17], Operations: [] Exploring Operation: 70-62=8, Resulting Numbers: [25, 17, 8] Generated Node #2: [25, 17, 8] from Operation: 70-62=8 Current State: 34:[25, 17, 8], Operations: ['70-62=8'] Exploring Operation: 25+17=42, Resulting Numbers: [8, 42] Generated Node #3: [8, 42] from Operation: 25+17=42 Current State: 34:[8, 42], Operations: ['70-62=8', '25+17=42'] Exploring Operation: 42-8=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 1, 55, 20, 7 ]
92
[ "1+20=21", "7*21=147", "147-55=92" ]
Current State: 92:[1, 55, 20, 7], Operations: [] Exploring Operation: 1+20=21, Resulting Numbers: [55, 7, 21] Generated Node #2: [55, 7, 21] from Operation: 1+20=21 Current State: 92:[55, 7, 21], Operations: ['1+20=21'] Exploring Operation: 7*21=147, Resulting Numbers: [55, 147] Generated Node #3: [55, 147] from Operation: 7*21=147 Current State: 92:[55, 147], Operations: ['1+20=21', '7*21=147'] Exploring Operation: 147-55=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 53, 30, 89, 97 ]
75
[ "53+30=83", "97-89=8", "83-8=75" ]
Current State: 75:[53, 30, 89, 97], Operations: [] Exploring Operation: 53+30=83, Resulting Numbers: [89, 97, 83] Generated Node #2: [89, 97, 83] from Operation: 53+30=83 Current State: 75:[89, 97, 83], Operations: ['53+30=83'] Exploring Operation: 97-89=8, Resulting Numbers: [83, 8] Generated Node #3: [83, 8] from Operation: 97-89=8 Current State: 75:[83, 8], Operations: ['53+30=83', '97-89=8'] Exploring Operation: 83-8=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 2, 52, 13, 55 ]
47
[ "2*52=104", "104/13=8", "55-8=47" ]
Current State: 47:[2, 52, 13, 55], Operations: [] Exploring Operation: 2*52=104, Resulting Numbers: [13, 55, 104] Generated Node #2: [13, 55, 104] from Operation: 2*52=104 Current State: 47:[13, 55, 104], Operations: ['2*52=104'] Exploring Operation: 104/13=8, Resulting Numbers: [55, 8] Generated Node #3: [55, 8] from Operation: 104/13=8 Current State: 47:[55, 8], Operations: ['2*52=104', '104/13=8'] Exploring Operation: 55-8=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 77, 87, 48, 93 ]
69
[ "93-87=6", "48/6=8", "77-8=69" ]
Current State: 69:[77, 87, 48, 93], Operations: [] Exploring Operation: 93-87=6, Resulting Numbers: [77, 48, 6] Generated Node #2: [77, 48, 6] from Operation: 93-87=6 Current State: 69:[77, 48, 6], Operations: ['93-87=6'] Exploring Operation: 48/6=8, Resulting Numbers: [77, 8] Generated Node #3: [77, 8] from Operation: 48/6=8 Current State: 69:[77, 8], Operations: ['93-87=6', '48/6=8'] Exploring Operation: 77-8=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 69, 13, 3, 63 ]
73
[ "69/3=23", "63-13=50", "23+50=73" ]
Current State: 73:[69, 13, 3, 63], Operations: [] Exploring Operation: 69/3=23, Resulting Numbers: [13, 63, 23] Generated Node #2: [13, 63, 23] from Operation: 69/3=23 Current State: 73:[13, 63, 23], Operations: ['69/3=23'] Exploring Operation: 63-13=50, Resulting Numbers: [23, 50] Generated Node #3: [23, 50] from Operation: 63-13=50 Current State: 73:[23, 50], Operations: ['69/3=23', '63-13=50'] Exploring Operation: 23+50=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4