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
[ 3, 3, 57, 28 ]
96
[ "3+57=60", "60-28=32", "3*32=96" ]
Current State: 96:[3, 3, 57, 28], Operations: [] Exploring Operation: 3+57=60, Resulting Numbers: [28, 60] Generated Node #2: [28, 60] from Operation: 3+57=60 Current State: 96:[28, 60], Operations: ['3+57=60'] Exploring Operation: 60-28=32, Resulting Numbers: [32] 32,96 equal: Goal Reached Exploring Operation: 3*32=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 15, 48, 76, 71 ]
27
[ "76-71=5", "15*5=75", "75-48=27" ]
Current State: 27:[15, 48, 76, 71], Operations: [] Exploring Operation: 76-71=5, Resulting Numbers: [15, 48, 5] Generated Node #2: [15, 48, 5] from Operation: 76-71=5 Current State: 27:[15, 48, 5], Operations: ['76-71=5'] Exploring Operation: 15*5=75, Resulting Numbers: [48, 75] Generated Node #3: [48, 75] from Operation: 15*5=75 Current State: 27:[48, 75], Operations: ['76-71=5', '15*5=75'] Exploring Operation: 75-48=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 67, 87, 21, 97 ]
78
[ "67+87=154", "97-21=76", "154-76=78" ]
Current State: 78:[67, 87, 21, 97], Operations: [] Exploring Operation: 67+87=154, Resulting Numbers: [21, 97, 154] Generated Node #2: [21, 97, 154] from Operation: 67+87=154 Current State: 78:[21, 97, 154], Operations: ['67+87=154'] Exploring Operation: 97-21=76, Resulting Numbers: [154, 76] Generated Node #3: [154, 76] from Operation: 97-21=76 Current State: 78:[154, 76], Operations: ['67+87=154', '97-21=76'] Exploring Operation: 154-76=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 62, 30, 15, 9 ]
44
[ "30/15=2", "9*2=18", "62-18=44" ]
Current State: 44:[62, 30, 15, 9], Operations: [] Exploring Operation: 30/15=2, Resulting Numbers: [62, 9, 2] Generated Node #2: [62, 9, 2] from Operation: 30/15=2 Current State: 44:[62, 9, 2], Operations: ['30/15=2'] Exploring Operation: 9*2=18, Resulting Numbers: [62, 18] Generated Node #3: [62, 18] from Operation: 9*2=18 Current State: 44:[62, 18], Operations: ['30/15=2', '9*2=18'] Exploring Operation: 62-18=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 4, 98, 70, 51 ]
72
[ "4+98=102", "102/51=2", "70+2=72" ]
Current State: 72:[4, 98, 70, 51], Operations: [] Exploring Operation: 4+98=102, Resulting Numbers: [70, 51, 102] Generated Node #2: [70, 51, 102] from Operation: 4+98=102 Current State: 72:[70, 51, 102], Operations: ['4+98=102'] Exploring Operation: 102/51=2, Resulting Numbers: [70, 2] Generated Node #3: [70, 2] from Operation: 102/51=2 Current State: 72:[70, 2], Operations: ['4+98=102', '102/51=2'] Exploring Operation: 70+2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 16, 46, 56, 39 ]
24
[ "46-39=7", "56/7=8", "16+8=24" ]
Current State: 24:[16, 46, 56, 39], Operations: [] Exploring Operation: 46-39=7, Resulting Numbers: [16, 56, 7] Generated Node #2: [16, 56, 7] from Operation: 46-39=7 Current State: 24:[16, 56, 7], Operations: ['46-39=7'] Exploring Operation: 56/7=8, Resulting Numbers: [16, 8] Generated Node #3: [16, 8] from Operation: 56/7=8 Current State: 24:[16, 8], Operations: ['46-39=7', '56/7=8'] Exploring Operation: 16+8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 50, 48, 23, 35 ]
37
[ "48-23=25", "50/25=2", "35+2=37" ]
Current State: 37:[50, 48, 23, 35], Operations: [] Exploring Operation: 48-23=25, Resulting Numbers: [50, 35, 25] Generated Node #2: [50, 35, 25] from Operation: 48-23=25 Current State: 37:[50, 35, 25], Operations: ['48-23=25'] Exploring Operation: 50/25=2, Resulting Numbers: [35, 2] Generated Node #3: [35, 2] from Operation: 50/25=2 Current State: 37:[35, 2], Operations: ['48-23=25', '50/25=2'] Exploring Operation: 35+2=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 44, 39, 51, 35 ]
11
[ "44-39=5", "51-35=16", "16-5=11" ]
Current State: 11:[44, 39, 51, 35], Operations: [] Exploring Operation: 44-39=5, Resulting Numbers: [51, 35, 5] Generated Node #2: [51, 35, 5] from Operation: 44-39=5 Current State: 11:[51, 35, 5], Operations: ['44-39=5'] Exploring Operation: 51-35=16, Resulting Numbers: [5, 16] Generated Node #3: [5, 16] from Operation: 51-35=16 Current State: 11:[5, 16], Operations: ['44-39=5', '51-35=16'] Exploring Operation: 16-5=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 6, 27, 94, 46 ]
35
[ "94-46=48", "48/6=8", "27+8=35" ]
Current State: 35:[6, 27, 94, 46], Operations: [] Exploring Operation: 94-46=48, Resulting Numbers: [6, 27, 48] Generated Node #2: [6, 27, 48] from Operation: 94-46=48 Current State: 35:[6, 27, 48], Operations: ['94-46=48'] Exploring Operation: 48/6=8, Resulting Numbers: [27, 8] Generated Node #3: [27, 8] from Operation: 48/6=8 Current State: 35:[27, 8], Operations: ['94-46=48', '48/6=8'] Exploring Operation: 27+8=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 75, 80, 30, 52 ]
73
[ "75+80=155", "30+52=82", "155-82=73" ]
Current State: 73:[75, 80, 30, 52], Operations: [] Exploring Operation: 75+80=155, Resulting Numbers: [30, 52, 155] Generated Node #2: [30, 52, 155] from Operation: 75+80=155 Current State: 73:[30, 52, 155], Operations: ['75+80=155'] Exploring Operation: 30+52=82, Resulting Numbers: [155, 82] Generated Node #3: [155, 82] from Operation: 30+52=82 Current State: 73:[155, 82], Operations: ['75+80=155', '30+52=82'] Exploring Operation: 155-82=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 8, 43, 89, 27 ]
40
[ "89-8=81", "81/27=3", "43-3=40" ]
Current State: 40:[8, 43, 89, 27], Operations: [] Exploring Operation: 89-8=81, Resulting Numbers: [43, 27, 81] Generated Node #2: [43, 27, 81] from Operation: 89-8=81 Current State: 40:[43, 27, 81], Operations: ['89-8=81'] Exploring Operation: 81/27=3, Resulting Numbers: [43, 3] Generated Node #3: [43, 3] from Operation: 81/27=3 Current State: 40:[43, 3], Operations: ['89-8=81', '81/27=3'] Exploring Operation: 43-3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 62, 35, 51, 32 ]
31
[ "51-35=16", "62*16=992", "992/32=31" ]
Current State: 31:[62, 35, 51, 32], Operations: [] Exploring Operation: 51-35=16, Resulting Numbers: [62, 32, 16] Generated Node #2: [62, 32, 16] from Operation: 51-35=16 Current State: 31:[62, 32, 16], Operations: ['51-35=16'] Exploring Operation: 62*16=992, Resulting Numbers: [32, 992] Generated Node #3: [32, 992] from Operation: 62*16=992 Current State: 31:[32, 992], Operations: ['51-35=16', '62*16=992'] Exploring Operation: 992/32=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 93, 7, 71, 70 ]
99
[ "93+7=100", "71-70=1", "100-1=99" ]
Current State: 99:[93, 7, 71, 70], Operations: [] Exploring Operation: 93+7=100, Resulting Numbers: [71, 70, 100] Generated Node #2: [71, 70, 100] from Operation: 93+7=100 Current State: 99:[71, 70, 100], Operations: ['93+7=100'] Exploring Operation: 71-70=1, Resulting Numbers: [100, 1] Generated Node #3: [100, 1] from Operation: 71-70=1 Current State: 99:[100, 1], Operations: ['93+7=100', '71-70=1'] Exploring Operation: 100-1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 42, 52, 55, 11 ]
76
[ "52-42=10", "55+11=66", "10+66=76" ]
Current State: 76:[42, 52, 55, 11], Operations: [] Exploring Operation: 52-42=10, Resulting Numbers: [55, 11, 10] Generated Node #2: [55, 11, 10] from Operation: 52-42=10 Current State: 76:[55, 11, 10], Operations: ['52-42=10'] Exploring Operation: 55+11=66, Resulting Numbers: [10, 66] Generated Node #3: [10, 66] from Operation: 55+11=66 Current State: 76:[10, 66], Operations: ['52-42=10', '55+11=66'] Exploring Operation: 10+66=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 31, 3, 56, 32 ]
69
[ "31*3=93", "56-32=24", "93-24=69" ]
Current State: 69:[31, 3, 56, 32], Operations: [] Exploring Operation: 31*3=93, Resulting Numbers: [56, 32, 93] Generated Node #2: [56, 32, 93] from Operation: 31*3=93 Current State: 69:[56, 32, 93], Operations: ['31*3=93'] Exploring Operation: 56-32=24, Resulting Numbers: [93, 24] Generated Node #3: [93, 24] from Operation: 56-32=24 Current State: 69:[93, 24], Operations: ['31*3=93', '56-32=24'] Exploring Operation: 93-24=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 79, 28, 4, 8 ]
47
[ "79-28=51", "8-4=4", "51-4=47" ]
Current State: 47:[79, 28, 4, 8], Operations: [] Exploring Operation: 79-28=51, Resulting Numbers: [4, 8, 51] Generated Node #2: [4, 8, 51] from Operation: 79-28=51 Current State: 47:[4, 8, 51], Operations: ['79-28=51'] Exploring Operation: 8-4=4, Resulting Numbers: [51, 4] Generated Node #3: [51, 4] from Operation: 8-4=4 Current State: 47:[51, 4], Operations: ['79-28=51', '8-4=4'] Exploring Operation: 51-4=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 48, 45, 56, 39 ]
43
[ "48-45=3", "39/3=13", "56-13=43" ]
Current State: 43:[48, 45, 56, 39], Operations: [] Exploring Operation: 48-45=3, Resulting Numbers: [56, 39, 3] Generated Node #2: [56, 39, 3] from Operation: 48-45=3 Current State: 43:[56, 39, 3], Operations: ['48-45=3'] Exploring Operation: 39/3=13, Resulting Numbers: [56, 13] Generated Node #3: [56, 13] from Operation: 39/3=13 Current State: 43:[56, 13], Operations: ['48-45=3', '39/3=13'] Exploring Operation: 56-13=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 10, 19, 5, 17 ]
76
[ "19-10=9", "5*17=85", "85-9=76" ]
Current State: 76:[10, 19, 5, 17], Operations: [] Exploring Operation: 19-10=9, Resulting Numbers: [5, 17, 9] Generated Node #2: [5, 17, 9] from Operation: 19-10=9 Current State: 76:[5, 17, 9], Operations: ['19-10=9'] Exploring Operation: 5*17=85, Resulting Numbers: [9, 85] Generated Node #3: [9, 85] from Operation: 5*17=85 Current State: 76:[9, 85], Operations: ['19-10=9', '5*17=85'] Exploring Operation: 85-9=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 33, 22, 4, 39 ]
12
[ "33+22=55", "4+39=43", "55-43=12" ]
Current State: 12:[33, 22, 4, 39], Operations: [] Exploring Operation: 33+22=55, Resulting Numbers: [4, 39, 55] Generated Node #2: [4, 39, 55] from Operation: 33+22=55 Current State: 12:[4, 39, 55], Operations: ['33+22=55'] Exploring Operation: 4+39=43, Resulting Numbers: [55, 43] Generated Node #3: [55, 43] from Operation: 4+39=43 Current State: 12:[55, 43], Operations: ['33+22=55', '4+39=43'] Exploring Operation: 55-43=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 7, 89, 26, 67 ]
28
[ "89-26=63", "67-63=4", "7*4=28" ]
Current State: 28:[7, 89, 26, 67], Operations: [] Exploring Operation: 89-26=63, Resulting Numbers: [7, 67, 63] Generated Node #2: [7, 67, 63] from Operation: 89-26=63 Current State: 28:[7, 67, 63], Operations: ['89-26=63'] Exploring Operation: 67-63=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 67-63=4 Current State: 28:[7, 4], Operations: ['89-26=63', '67-63=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 7, 39, 3, 71 ]
11
[ "7+3=10", "39+71=110", "110/10=11" ]
Current State: 11:[7, 39, 3, 71], Operations: [] Exploring Operation: 7+3=10, Resulting Numbers: [39, 71, 10] Generated Node #2: [39, 71, 10] from Operation: 7+3=10 Current State: 11:[39, 71, 10], Operations: ['7+3=10'] Exploring Operation: 39+71=110, Resulting Numbers: [10, 110] Generated Node #3: [10, 110] from Operation: 39+71=110 Current State: 11:[10, 110], Operations: ['7+3=10', '39+71=110'] Exploring Operation: 110/10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 26, 30, 19, 25 ]
81
[ "30-26=4", "25*4=100", "100-19=81" ]
Current State: 81:[26, 30, 19, 25], Operations: [] Exploring Operation: 30-26=4, Resulting Numbers: [19, 25, 4] Generated Node #2: [19, 25, 4] from Operation: 30-26=4 Current State: 81:[19, 25, 4], Operations: ['30-26=4'] Exploring Operation: 25*4=100, Resulting Numbers: [19, 100] Generated Node #3: [19, 100] from Operation: 25*4=100 Current State: 81:[19, 100], Operations: ['30-26=4', '25*4=100'] Exploring Operation: 100-19=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 2, 88, 46, 8 ]
59
[ "2+46=48", "88/8=11", "48+11=59" ]
Current State: 59:[2, 88, 46, 8], Operations: [] Exploring Operation: 2+46=48, Resulting Numbers: [88, 8, 48] Generated Node #2: [88, 8, 48] from Operation: 2+46=48 Current State: 59:[88, 8, 48], Operations: ['2+46=48'] Exploring Operation: 88/8=11, Resulting Numbers: [48, 11] Generated Node #3: [48, 11] from Operation: 88/8=11 Current State: 59:[48, 11], Operations: ['2+46=48', '88/8=11'] Exploring Operation: 48+11=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 24, 97, 27, 86 ]
62
[ "24+97=121", "86-27=59", "121-59=62" ]
Current State: 62:[24, 97, 27, 86], Operations: [] Exploring Operation: 24+97=121, Resulting Numbers: [27, 86, 121] Generated Node #2: [27, 86, 121] from Operation: 24+97=121 Current State: 62:[27, 86, 121], Operations: ['24+97=121'] Exploring Operation: 86-27=59, Resulting Numbers: [121, 59] Generated Node #3: [121, 59] from Operation: 86-27=59 Current State: 62:[121, 59], Operations: ['24+97=121', '86-27=59'] Exploring Operation: 121-59=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 36, 7, 18, 18 ]
79
[ "36+7=43", "18+18=36", "43+36=79" ]
Current State: 79:[36, 7, 18, 18], Operations: [] Exploring Operation: 36+7=43, Resulting Numbers: [18, 18, 43] Generated Node #2: [18, 18, 43] from Operation: 36+7=43 Current State: 79:[18, 18, 43], Operations: ['36+7=43'] Exploring Operation: 18+18=36, Resulting Numbers: [43, 36] Generated Node #3: [43, 36] from Operation: 18+18=36 Current State: 79:[43, 36], Operations: ['36+7=43', '18+18=36'] Exploring Operation: 43+36=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 42, 60, 52, 98 ]
56
[ "42+60=102", "98-52=46", "102-46=56" ]
Current State: 56:[42, 60, 52, 98], Operations: [] Exploring Operation: 42+60=102, Resulting Numbers: [52, 98, 102] Generated Node #2: [52, 98, 102] from Operation: 42+60=102 Current State: 56:[52, 98, 102], Operations: ['42+60=102'] Exploring Operation: 98-52=46, Resulting Numbers: [102, 46] Generated Node #3: [102, 46] from Operation: 98-52=46 Current State: 56:[102, 46], Operations: ['42+60=102', '98-52=46'] Exploring Operation: 102-46=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 66, 14, 12, 11 ]
51
[ "66-14=52", "12-11=1", "52-1=51" ]
Current State: 51:[66, 14, 12, 11], Operations: [] Exploring Operation: 66-14=52, Resulting Numbers: [12, 11, 52] Generated Node #2: [12, 11, 52] from Operation: 66-14=52 Current State: 51:[12, 11, 52], Operations: ['66-14=52'] Exploring Operation: 12-11=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 12-11=1 Current State: 51:[52, 1], Operations: ['66-14=52', '12-11=1'] Exploring Operation: 52-1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 6, 13, 51, 39 ]
59
[ "51-39=12", "6*12=72", "72-13=59" ]
Current State: 59:[6, 13, 51, 39], Operations: [] Exploring Operation: 51-39=12, Resulting Numbers: [6, 13, 12] Generated Node #2: [6, 13, 12] from Operation: 51-39=12 Current State: 59:[6, 13, 12], Operations: ['51-39=12'] Exploring Operation: 6*12=72, Resulting Numbers: [13, 72] Generated Node #3: [13, 72] from Operation: 6*12=72 Current State: 59:[13, 72], Operations: ['51-39=12', '6*12=72'] Exploring Operation: 72-13=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 60, 57, 23, 62 ]
40
[ "62-60=2", "57+23=80", "80/2=40" ]
Current State: 40:[60, 57, 23, 62], Operations: [] Exploring Operation: 62-60=2, Resulting Numbers: [57, 23, 2] Generated Node #2: [57, 23, 2] from Operation: 62-60=2 Current State: 40:[57, 23, 2], Operations: ['62-60=2'] Exploring Operation: 57+23=80, Resulting Numbers: [2, 80] Generated Node #3: [2, 80] from Operation: 57+23=80 Current State: 40:[2, 80], Operations: ['62-60=2', '57+23=80'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 5, 80, 63, 5 ]
80
[ "5+80=85", "85/5=17", "63+17=80" ]
Current State: 80:[5, 80, 63, 5], Operations: [] Exploring Operation: 5+80=85, Resulting Numbers: [63, 85] Generated Node #2: [63, 85] from Operation: 5+80=85 Current State: 80:[63, 85], Operations: ['5+80=85'] Exploring Operation: 85/5=17, Resulting Numbers: [63, 17] Generated Node #3: [63, 17] from Operation: 85/5=17 Current State: 80:[63, 17], Operations: ['5+80=85', '85/5=17'] Exploring Operation: 63+17=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 4, 68, 22, 70 ]
16
[ "68-4=64", "70-22=48", "64-48=16" ]
Current State: 16:[4, 68, 22, 70], Operations: [] Exploring Operation: 68-4=64, Resulting Numbers: [22, 70, 64] Generated Node #2: [22, 70, 64] from Operation: 68-4=64 Current State: 16:[22, 70, 64], Operations: ['68-4=64'] Exploring Operation: 70-22=48, Resulting Numbers: [64, 48] Generated Node #3: [64, 48] from Operation: 70-22=48 Current State: 16:[64, 48], Operations: ['68-4=64', '70-22=48'] Exploring Operation: 64-48=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 82, 36, 93, 77 ]
95
[ "77-36=41", "82/41=2", "93+2=95" ]
Current State: 95:[82, 36, 93, 77], Operations: [] Exploring Operation: 77-36=41, Resulting Numbers: [82, 93, 41] Generated Node #2: [82, 93, 41] from Operation: 77-36=41 Current State: 95:[82, 93, 41], Operations: ['77-36=41'] Exploring Operation: 82/41=2, Resulting Numbers: [93, 2] Generated Node #3: [93, 2] from Operation: 82/41=2 Current State: 95:[93, 2], Operations: ['77-36=41', '82/41=2'] Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 17, 8, 11, 96 ]
18
[ "17-11=6", "96/8=12", "6+12=18" ]
Current State: 18:[17, 8, 11, 96], Operations: [] Exploring Operation: 17-11=6, Resulting Numbers: [8, 96, 6] Generated Node #2: [8, 96, 6] from Operation: 17-11=6 Current State: 18:[8, 96, 6], Operations: ['17-11=6'] Exploring Operation: 96/8=12, Resulting Numbers: [6, 12] Generated Node #3: [6, 12] from Operation: 96/8=12 Current State: 18:[6, 12], Operations: ['17-11=6', '96/8=12'] Exploring Operation: 6+12=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 13, 18, 6, 65 ]
40
[ "13+18=31", "6+65=71", "71-31=40" ]
Current State: 40:[13, 18, 6, 65], Operations: [] Exploring Operation: 13+18=31, Resulting Numbers: [6, 65, 31] Generated Node #2: [6, 65, 31] from Operation: 13+18=31 Current State: 40:[6, 65, 31], Operations: ['13+18=31'] Exploring Operation: 6+65=71, Resulting Numbers: [31, 71] Generated Node #3: [31, 71] from Operation: 6+65=71 Current State: 40:[31, 71], Operations: ['13+18=31', '6+65=71'] Exploring Operation: 71-31=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 99, 51, 57, 68 ]
42
[ "68-57=11", "99/11=9", "51-9=42" ]
Current State: 42:[99, 51, 57, 68], Operations: [] Exploring Operation: 68-57=11, Resulting Numbers: [99, 51, 11] Generated Node #2: [99, 51, 11] from Operation: 68-57=11 Current State: 42:[99, 51, 11], Operations: ['68-57=11'] Exploring Operation: 99/11=9, Resulting Numbers: [51, 9] Generated Node #3: [51, 9] from Operation: 99/11=9 Current State: 42:[51, 9], Operations: ['68-57=11', '99/11=9'] Exploring Operation: 51-9=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 70, 89, 60, 4 ]
45
[ "89-70=19", "60+4=64", "64-19=45" ]
Current State: 45:[70, 89, 60, 4], Operations: [] Exploring Operation: 89-70=19, Resulting Numbers: [60, 4, 19] Generated Node #2: [60, 4, 19] from Operation: 89-70=19 Current State: 45:[60, 4, 19], Operations: ['89-70=19'] Exploring Operation: 60+4=64, Resulting Numbers: [19, 64] Generated Node #3: [19, 64] from Operation: 60+4=64 Current State: 45:[19, 64], Operations: ['89-70=19', '60+4=64'] Exploring Operation: 64-19=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 82, 90, 2, 52 ]
36
[ "90-82=8", "2*8=16", "52-16=36" ]
Current State: 36:[82, 90, 2, 52], Operations: [] Exploring Operation: 90-82=8, Resulting Numbers: [2, 52, 8] Generated Node #2: [2, 52, 8] from Operation: 90-82=8 Current State: 36:[2, 52, 8], Operations: ['90-82=8'] Exploring Operation: 2*8=16, Resulting Numbers: [52, 16] Generated Node #3: [52, 16] from Operation: 2*8=16 Current State: 36:[52, 16], Operations: ['90-82=8', '2*8=16'] Exploring Operation: 52-16=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 68, 47, 67, 53 ]
99
[ "68-47=21", "67+53=120", "120-21=99" ]
Current State: 99:[68, 47, 67, 53], Operations: [] Exploring Operation: 68-47=21, Resulting Numbers: [67, 53, 21] Generated Node #2: [67, 53, 21] from Operation: 68-47=21 Current State: 99:[67, 53, 21], Operations: ['68-47=21'] Exploring Operation: 67+53=120, Resulting Numbers: [21, 120] Generated Node #3: [21, 120] from Operation: 67+53=120 Current State: 99:[21, 120], Operations: ['68-47=21', '67+53=120'] Exploring Operation: 120-21=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 62, 20, 52, 30 ]
76
[ "62+52=114", "20*114=2280", "2280/30=76" ]
Current State: 76:[62, 20, 52, 30], Operations: [] Exploring Operation: 62+52=114, Resulting Numbers: [20, 30, 114] Generated Node #2: [20, 30, 114] from Operation: 62+52=114 Current State: 76:[20, 30, 114], Operations: ['62+52=114'] Exploring Operation: 20*114=2280, Resulting Numbers: [30, 2280] Generated Node #3: [30, 2280] from Operation: 20*114=2280 Current State: 76:[30, 2280], Operations: ['62+52=114', '20*114=2280'] Exploring Operation: 2280/30=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 5, 88, 3, 31 ]
25
[ "3*31=93", "93-88=5", "5*5=25" ]
Current State: 25:[5, 88, 3, 31], Operations: [] Exploring Operation: 3*31=93, Resulting Numbers: [5, 88, 93] Generated Node #2: [5, 88, 93] from Operation: 3*31=93 Current State: 25:[5, 88, 93], Operations: ['3*31=93'] Exploring Operation: 93-88=5, Resulting Numbers: [5, 5] Generated Node #3: [5, 5] from Operation: 93-88=5 Current State: 25:[5, 5], Operations: ['3*31=93', '93-88=5'] Exploring Operation: 5*5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 36, 94, 62, 49 ]
19
[ "36+94=130", "62+49=111", "130-111=19" ]
Current State: 19:[36, 94, 62, 49], Operations: [] Exploring Operation: 36+94=130, Resulting Numbers: [62, 49, 130] Generated Node #2: [62, 49, 130] from Operation: 36+94=130 Current State: 19:[62, 49, 130], Operations: ['36+94=130'] Exploring Operation: 62+49=111, Resulting Numbers: [130, 111] Generated Node #3: [130, 111] from Operation: 62+49=111 Current State: 19:[130, 111], Operations: ['36+94=130', '62+49=111'] Exploring Operation: 130-111=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 55, 44, 40, 5 ]
95
[ "55-44=11", "5*11=55", "40+55=95" ]
Current State: 95:[55, 44, 40, 5], Operations: [] Exploring Operation: 55-44=11, Resulting Numbers: [40, 5, 11] Generated Node #2: [40, 5, 11] from Operation: 55-44=11 Current State: 95:[40, 5, 11], Operations: ['55-44=11'] Exploring Operation: 5*11=55, Resulting Numbers: [40, 55] Generated Node #3: [40, 55] from Operation: 5*11=55 Current State: 95:[40, 55], Operations: ['55-44=11', '5*11=55'] Exploring Operation: 40+55=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 81, 10, 92, 63 ]
64
[ "81+10=91", "92+63=155", "155-91=64" ]
Current State: 64:[81, 10, 92, 63], Operations: [] Exploring Operation: 81+10=91, Resulting Numbers: [92, 63, 91] Generated Node #2: [92, 63, 91] from Operation: 81+10=91 Current State: 64:[92, 63, 91], Operations: ['81+10=91'] Exploring Operation: 92+63=155, Resulting Numbers: [91, 155] Generated Node #3: [91, 155] from Operation: 92+63=155 Current State: 64:[91, 155], Operations: ['81+10=91', '92+63=155'] Exploring Operation: 155-91=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 39, 12, 23, 92 ]
31
[ "39-12=27", "92/23=4", "27+4=31" ]
Current State: 31:[39, 12, 23, 92], Operations: [] Exploring Operation: 39-12=27, Resulting Numbers: [23, 92, 27] Generated Node #2: [23, 92, 27] from Operation: 39-12=27 Current State: 31:[23, 92, 27], Operations: ['39-12=27'] Exploring Operation: 92/23=4, Resulting Numbers: [27, 4] Generated Node #3: [27, 4] from Operation: 92/23=4 Current State: 31:[27, 4], Operations: ['39-12=27', '92/23=4'] Exploring Operation: 27+4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 14, 26, 22, 24 ]
66
[ "24-22=2", "26*2=52", "14+52=66" ]
Current State: 66:[14, 26, 22, 24], Operations: [] Exploring Operation: 24-22=2, Resulting Numbers: [14, 26, 2] Generated Node #2: [14, 26, 2] from Operation: 24-22=2 Current State: 66:[14, 26, 2], Operations: ['24-22=2'] Exploring Operation: 26*2=52, Resulting Numbers: [14, 52] Generated Node #3: [14, 52] from Operation: 26*2=52 Current State: 66:[14, 52], Operations: ['24-22=2', '26*2=52'] Exploring Operation: 14+52=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 10, 44, 38, 83 ]
99
[ "10+44=54", "83-38=45", "54+45=99" ]
Current State: 99:[10, 44, 38, 83], Operations: [] Exploring Operation: 10+44=54, Resulting Numbers: [38, 83, 54] Generated Node #2: [38, 83, 54] from Operation: 10+44=54 Current State: 99:[38, 83, 54], Operations: ['10+44=54'] Exploring Operation: 83-38=45, Resulting Numbers: [54, 45] Generated Node #3: [54, 45] from Operation: 83-38=45 Current State: 99:[54, 45], Operations: ['10+44=54', '83-38=45'] Exploring Operation: 54+45=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 22, 9, 22, 90 ]
80
[ "22/22=1", "90-9=81", "81-1=80" ]
Current State: 80:[22, 9, 22, 90], Operations: [] Exploring Operation: 22/22=1, Resulting Numbers: [9, 90, 1] Generated Node #2: [9, 90, 1] from Operation: 22/22=1 Current State: 80:[9, 90, 1], Operations: ['22/22=1'] Exploring Operation: 90-9=81, Resulting Numbers: [1, 81] Generated Node #3: [1, 81] from Operation: 90-9=81 Current State: 80:[1, 81], Operations: ['22/22=1', '90-9=81'] Exploring Operation: 81-1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 13, 4, 39, 14 ]
43
[ "14-13=1", "4+39=43", "1*43=43" ]
Current State: 43:[13, 4, 39, 14], Operations: [] Exploring Operation: 14-13=1, Resulting Numbers: [4, 39, 1] Generated Node #2: [4, 39, 1] from Operation: 14-13=1 Current State: 43:[4, 39, 1], Operations: ['14-13=1'] Exploring Operation: 4+39=43, Resulting Numbers: [1, 43] Generated Node #3: [1, 43] from Operation: 4+39=43 Current State: 43:[1, 43], Operations: ['14-13=1', '4+39=43'] Exploring Operation: 1*43=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 26, 35, 8, 1 ]
54
[ "26+35=61", "8-1=7", "61-7=54" ]
Current State: 54:[26, 35, 8, 1], Operations: [] Exploring Operation: 26+35=61, Resulting Numbers: [8, 1, 61] Generated Node #2: [8, 1, 61] from Operation: 26+35=61 Current State: 54:[8, 1, 61], Operations: ['26+35=61'] Exploring Operation: 8-1=7, Resulting Numbers: [61, 7] Generated Node #3: [61, 7] from Operation: 8-1=7 Current State: 54:[61, 7], Operations: ['26+35=61', '8-1=7'] Exploring Operation: 61-7=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 81, 27, 25, 69 ]
40
[ "81-27=54", "25+69=94", "94-54=40" ]
Current State: 40:[81, 27, 25, 69], Operations: [] Exploring Operation: 81-27=54, Resulting Numbers: [25, 69, 54] Generated Node #2: [25, 69, 54] from Operation: 81-27=54 Current State: 40:[25, 69, 54], Operations: ['81-27=54'] Exploring Operation: 25+69=94, Resulting Numbers: [54, 94] Generated Node #3: [54, 94] from Operation: 25+69=94 Current State: 40:[54, 94], Operations: ['81-27=54', '25+69=94'] Exploring Operation: 94-54=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 6, 41, 8, 36 ]
27
[ "36/6=6", "41-8=33", "33-6=27" ]
Current State: 27:[6, 41, 8, 36], Operations: [] Exploring Operation: 36/6=6, Resulting Numbers: [41, 8, 6] Generated Node #2: [41, 8, 6] from Operation: 36/6=6 Current State: 27:[41, 8, 6], Operations: ['36/6=6'] Exploring Operation: 41-8=33, Resulting Numbers: [6, 33] Generated Node #3: [6, 33] from Operation: 41-8=33 Current State: 27:[6, 33], Operations: ['36/6=6', '41-8=33'] Exploring Operation: 33-6=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 3, 78, 20, 50 ]
51
[ "3+78=81", "50-20=30", "81-30=51" ]
Current State: 51:[3, 78, 20, 50], Operations: [] Exploring Operation: 3+78=81, Resulting Numbers: [20, 50, 81] Generated Node #2: [20, 50, 81] from Operation: 3+78=81 Current State: 51:[20, 50, 81], Operations: ['3+78=81'] Exploring Operation: 50-20=30, Resulting Numbers: [81, 30] Generated Node #3: [81, 30] from Operation: 50-20=30 Current State: 51:[81, 30], Operations: ['3+78=81', '50-20=30'] Exploring Operation: 81-30=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 92, 38, 99, 46 ]
59
[ "92/46=2", "99-38=61", "61-2=59" ]
Current State: 59:[92, 38, 99, 46], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [38, 99, 2] Generated Node #2: [38, 99, 2] from Operation: 92/46=2 Current State: 59:[38, 99, 2], Operations: ['92/46=2'] Exploring Operation: 99-38=61, Resulting Numbers: [2, 61] Generated Node #3: [2, 61] from Operation: 99-38=61 Current State: 59:[2, 61], Operations: ['92/46=2', '99-38=61'] Exploring Operation: 61-2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 5, 72, 28, 88 ]
60
[ "72+28=100", "100-88=12", "5*12=60" ]
Current State: 60:[5, 72, 28, 88], Operations: [] Exploring Operation: 72+28=100, Resulting Numbers: [5, 88, 100] Generated Node #2: [5, 88, 100] from Operation: 72+28=100 Current State: 60:[5, 88, 100], Operations: ['72+28=100'] Exploring Operation: 100-88=12, Resulting Numbers: [5, 12] Generated Node #3: [5, 12] from Operation: 100-88=12 Current State: 60:[5, 12], Operations: ['72+28=100', '100-88=12'] Exploring Operation: 5*12=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 82, 52, 84, 67 ]
82
[ "82+52=134", "134/67=2", "84-2=82" ]
Current State: 82:[82, 52, 84, 67], Operations: [] Exploring Operation: 82+52=134, Resulting Numbers: [84, 67, 134] Generated Node #2: [84, 67, 134] from Operation: 82+52=134 Current State: 82:[84, 67, 134], Operations: ['82+52=134'] Exploring Operation: 134/67=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 134/67=2 Current State: 82:[84, 2], Operations: ['82+52=134', '134/67=2'] Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 54, 87, 49, 60 ]
76
[ "87-54=33", "49+60=109", "109-33=76" ]
Current State: 76:[54, 87, 49, 60], Operations: [] Exploring Operation: 87-54=33, Resulting Numbers: [49, 60, 33] Generated Node #2: [49, 60, 33] from Operation: 87-54=33 Current State: 76:[49, 60, 33], Operations: ['87-54=33'] Exploring Operation: 49+60=109, Resulting Numbers: [33, 109] Generated Node #3: [33, 109] from Operation: 49+60=109 Current State: 76:[33, 109], Operations: ['87-54=33', '49+60=109'] Exploring Operation: 109-33=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 66, 82, 2, 29 ]
36
[ "82*29=2378", "2378-2=2376", "2376/66=36" ]
Current State: 36:[66, 82, 2, 29], Operations: [] Exploring Operation: 82*29=2378, Resulting Numbers: [66, 2, 2378] Generated Node #2: [66, 2, 2378] from Operation: 82*29=2378 Current State: 36:[66, 2, 2378], Operations: ['82*29=2378'] Exploring Operation: 2378-2=2376, Resulting Numbers: [66, 2376] Generated Node #3: [66, 2376] from Operation: 2378-2=2376 Current State: 36:[66, 2376], Operations: ['82*29=2378', '2378-2=2376'] Exploring Operation: 2376/66=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 63, 73, 82, 52 ]
20
[ "73-63=10", "82-52=30", "30-10=20" ]
Current State: 20:[63, 73, 82, 52], Operations: [] Exploring Operation: 73-63=10, Resulting Numbers: [82, 52, 10] Generated Node #2: [82, 52, 10] from Operation: 73-63=10 Current State: 20:[82, 52, 10], Operations: ['73-63=10'] Exploring Operation: 82-52=30, Resulting Numbers: [10, 30] Generated Node #3: [10, 30] from Operation: 82-52=30 Current State: 20:[10, 30], Operations: ['73-63=10', '82-52=30'] Exploring Operation: 30-10=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 61, 27, 90, 36 ]
51
[ "36-27=9", "90/9=10", "61-10=51" ]
Current State: 51:[61, 27, 90, 36], Operations: [] Exploring Operation: 36-27=9, Resulting Numbers: [61, 90, 9] Generated Node #2: [61, 90, 9] from Operation: 36-27=9 Current State: 51:[61, 90, 9], Operations: ['36-27=9'] Exploring Operation: 90/9=10, Resulting Numbers: [61, 10] Generated Node #3: [61, 10] from Operation: 90/9=10 Current State: 51:[61, 10], Operations: ['36-27=9', '90/9=10'] Exploring Operation: 61-10=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 80, 1, 6, 38 ]
54
[ "6-1=5", "80/5=16", "38+16=54" ]
Current State: 54:[80, 1, 6, 38], Operations: [] Exploring Operation: 6-1=5, Resulting Numbers: [80, 38, 5] Generated Node #2: [80, 38, 5] from Operation: 6-1=5 Current State: 54:[80, 38, 5], Operations: ['6-1=5'] Exploring Operation: 80/5=16, Resulting Numbers: [38, 16] Generated Node #3: [38, 16] from Operation: 80/5=16 Current State: 54:[38, 16], Operations: ['6-1=5', '80/5=16'] Exploring Operation: 38+16=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 72, 47, 21, 13 ]
70
[ "47-21=26", "26/13=2", "72-2=70" ]
Current State: 70:[72, 47, 21, 13], Operations: [] Exploring Operation: 47-21=26, Resulting Numbers: [72, 13, 26] Generated Node #2: [72, 13, 26] from Operation: 47-21=26 Current State: 70:[72, 13, 26], Operations: ['47-21=26'] Exploring Operation: 26/13=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 26/13=2 Current State: 70:[72, 2], Operations: ['47-21=26', '26/13=2'] Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 29, 19, 64, 23 ]
31
[ "29-19=10", "64-23=41", "41-10=31" ]
Current State: 31:[29, 19, 64, 23], Operations: [] Exploring Operation: 29-19=10, Resulting Numbers: [64, 23, 10] Generated Node #2: [64, 23, 10] from Operation: 29-19=10 Current State: 31:[64, 23, 10], Operations: ['29-19=10'] Exploring Operation: 64-23=41, Resulting Numbers: [10, 41] Generated Node #3: [10, 41] from Operation: 64-23=41 Current State: 31:[10, 41], Operations: ['29-19=10', '64-23=41'] Exploring Operation: 41-10=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 46, 39, 12, 52 ]
45
[ "46+39=85", "52-12=40", "85-40=45" ]
Current State: 45:[46, 39, 12, 52], Operations: [] Exploring Operation: 46+39=85, Resulting Numbers: [12, 52, 85] Generated Node #2: [12, 52, 85] from Operation: 46+39=85 Current State: 45:[12, 52, 85], Operations: ['46+39=85'] Exploring Operation: 52-12=40, Resulting Numbers: [85, 40] Generated Node #3: [85, 40] from Operation: 52-12=40 Current State: 45:[85, 40], Operations: ['46+39=85', '52-12=40'] Exploring Operation: 85-40=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 20, 24, 61, 44 ]
21
[ "24-20=4", "61-44=17", "4+17=21" ]
Current State: 21:[20, 24, 61, 44], Operations: [] Exploring Operation: 24-20=4, Resulting Numbers: [61, 44, 4] Generated Node #2: [61, 44, 4] from Operation: 24-20=4 Current State: 21:[61, 44, 4], Operations: ['24-20=4'] Exploring Operation: 61-44=17, Resulting Numbers: [4, 17] Generated Node #3: [4, 17] from Operation: 61-44=17 Current State: 21:[4, 17], Operations: ['24-20=4', '61-44=17'] Exploring Operation: 4+17=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 71, 55, 26, 43 ]
53
[ "71-55=16", "26+43=69", "69-16=53" ]
Current State: 53:[71, 55, 26, 43], Operations: [] Exploring Operation: 71-55=16, Resulting Numbers: [26, 43, 16] Generated Node #2: [26, 43, 16] from Operation: 71-55=16 Current State: 53:[26, 43, 16], Operations: ['71-55=16'] Exploring Operation: 26+43=69, Resulting Numbers: [16, 69] Generated Node #3: [16, 69] from Operation: 26+43=69 Current State: 53:[16, 69], Operations: ['71-55=16', '26+43=69'] Exploring Operation: 69-16=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 73, 66, 11, 67 ]
22
[ "73-67=6", "66/6=11", "11+11=22" ]
Current State: 22:[73, 66, 11, 67], Operations: [] Exploring Operation: 73-67=6, Resulting Numbers: [66, 11, 6] Generated Node #2: [66, 11, 6] from Operation: 73-67=6 Current State: 22:[66, 11, 6], Operations: ['73-67=6'] Exploring Operation: 66/6=11, Resulting Numbers: [11, 11] Generated Node #3: [11, 11] from Operation: 66/6=11 Current State: 22:[11, 11], Operations: ['73-67=6', '66/6=11'] Exploring Operation: 11+11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 48, 85, 7, 64 ]
62
[ "48+85=133", "7+64=71", "133-71=62" ]
Current State: 62:[48, 85, 7, 64], Operations: [] Exploring Operation: 48+85=133, Resulting Numbers: [7, 64, 133] Generated Node #2: [7, 64, 133] from Operation: 48+85=133 Current State: 62:[7, 64, 133], Operations: ['48+85=133'] Exploring Operation: 7+64=71, Resulting Numbers: [133, 71] Generated Node #3: [133, 71] from Operation: 7+64=71 Current State: 62:[133, 71], Operations: ['48+85=133', '7+64=71'] Exploring Operation: 133-71=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 91, 22, 72, 9 ]
61
[ "91-22=69", "72/9=8", "69-8=61" ]
Current State: 61:[91, 22, 72, 9], Operations: [] Exploring Operation: 91-22=69, Resulting Numbers: [72, 9, 69] Generated Node #2: [72, 9, 69] from Operation: 91-22=69 Current State: 61:[72, 9, 69], Operations: ['91-22=69'] Exploring Operation: 72/9=8, Resulting Numbers: [69, 8] Generated Node #3: [69, 8] from Operation: 72/9=8 Current State: 61:[69, 8], Operations: ['91-22=69', '72/9=8'] Exploring Operation: 69-8=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 55, 12, 50, 42 ]
18
[ "55-50=5", "12*5=60", "60-42=18" ]
Current State: 18:[55, 12, 50, 42], Operations: [] Exploring Operation: 55-50=5, Resulting Numbers: [12, 42, 5] Generated Node #2: [12, 42, 5] from Operation: 55-50=5 Current State: 18:[12, 42, 5], Operations: ['55-50=5'] Exploring Operation: 12*5=60, Resulting Numbers: [42, 60] Generated Node #3: [42, 60] from Operation: 12*5=60 Current State: 18:[42, 60], Operations: ['55-50=5', '12*5=60'] Exploring Operation: 60-42=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 90, 49, 46, 99 ]
12
[ "90-49=41", "99-46=53", "53-41=12" ]
Current State: 12:[90, 49, 46, 99], Operations: [] Exploring Operation: 90-49=41, Resulting Numbers: [46, 99, 41] Generated Node #2: [46, 99, 41] from Operation: 90-49=41 Current State: 12:[46, 99, 41], Operations: ['90-49=41'] Exploring Operation: 99-46=53, Resulting Numbers: [41, 53] Generated Node #3: [41, 53] from Operation: 99-46=53 Current State: 12:[41, 53], Operations: ['90-49=41', '99-46=53'] Exploring Operation: 53-41=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 35, 96, 44, 68 ]
39
[ "68-44=24", "96/24=4", "35+4=39" ]
Current State: 39:[35, 96, 44, 68], Operations: [] Exploring Operation: 68-44=24, Resulting Numbers: [35, 96, 24] Generated Node #2: [35, 96, 24] from Operation: 68-44=24 Current State: 39:[35, 96, 24], Operations: ['68-44=24'] Exploring Operation: 96/24=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 96/24=4 Current State: 39:[35, 4], Operations: ['68-44=24', '96/24=4'] Exploring Operation: 35+4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 90, 11, 70, 44 ]
13
[ "90+11=101", "70+44=114", "114-101=13" ]
Current State: 13:[90, 11, 70, 44], Operations: [] Exploring Operation: 90+11=101, Resulting Numbers: [70, 44, 101] Generated Node #2: [70, 44, 101] from Operation: 90+11=101 Current State: 13:[70, 44, 101], Operations: ['90+11=101'] Exploring Operation: 70+44=114, Resulting Numbers: [101, 114] Generated Node #3: [101, 114] from Operation: 70+44=114 Current State: 13:[101, 114], Operations: ['90+11=101', '70+44=114'] Exploring Operation: 114-101=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 4, 59, 5, 28 ]
67
[ "4*5=20", "59+28=87", "87-20=67" ]
Current State: 67:[4, 59, 5, 28], Operations: [] Exploring Operation: 4*5=20, Resulting Numbers: [59, 28, 20] Generated Node #2: [59, 28, 20] from Operation: 4*5=20 Current State: 67:[59, 28, 20], Operations: ['4*5=20'] Exploring Operation: 59+28=87, Resulting Numbers: [20, 87] Generated Node #3: [20, 87] from Operation: 59+28=87 Current State: 67:[20, 87], Operations: ['4*5=20', '59+28=87'] Exploring Operation: 87-20=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 95, 81, 22, 69 ]
61
[ "95+81=176", "176/22=8", "69-8=61" ]
Current State: 61:[95, 81, 22, 69], Operations: [] Exploring Operation: 95+81=176, Resulting Numbers: [22, 69, 176] Generated Node #2: [22, 69, 176] from Operation: 95+81=176 Current State: 61:[22, 69, 176], Operations: ['95+81=176'] Exploring Operation: 176/22=8, Resulting Numbers: [69, 8] Generated Node #3: [69, 8] from Operation: 176/22=8 Current State: 61:[69, 8], Operations: ['95+81=176', '176/22=8'] Exploring Operation: 69-8=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 8, 70, 99, 98 ]
62
[ "70-8=62", "99-98=1", "62*1=62" ]
Current State: 62:[8, 70, 99, 98], Operations: [] Exploring Operation: 70-8=62, Resulting Numbers: [99, 98, 62] Generated Node #2: [99, 98, 62] from Operation: 70-8=62 Current State: 62:[99, 98, 62], Operations: ['70-8=62'] Exploring Operation: 99-98=1, Resulting Numbers: [62, 1] Generated Node #3: [62, 1] from Operation: 99-98=1 Current State: 62:[62, 1], Operations: ['70-8=62', '99-98=1'] Exploring Operation: 62*1=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 45, 45, 48, 48 ]
87
[ "48-45=3", "45*3=135", "135-48=87" ]
Current State: 87:[45, 45, 48, 48], Operations: [] Exploring Operation: 48-45=3, Resulting Numbers: [3] 3,87 equal: Goal Reached Exploring Operation: 45*3=135, Resulting Numbers: [135] 135,87 equal: Goal Reached Exploring Operation: 135-48=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 52, 77, 1, 49 ]
80
[ "52+77=129", "1*49=49", "129-49=80" ]
Current State: 80:[52, 77, 1, 49], Operations: [] Exploring Operation: 52+77=129, Resulting Numbers: [1, 49, 129] Generated Node #2: [1, 49, 129] from Operation: 52+77=129 Current State: 80:[1, 49, 129], Operations: ['52+77=129'] Exploring Operation: 1*49=49, Resulting Numbers: [129, 49] Generated Node #3: [129, 49] from Operation: 1*49=49 Current State: 80:[129, 49], Operations: ['52+77=129', '1*49=49'] Exploring Operation: 129-49=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 92, 14, 51, 4 ]
23
[ "92-14=78", "51+4=55", "78-55=23" ]
Current State: 23:[92, 14, 51, 4], Operations: [] Exploring Operation: 92-14=78, Resulting Numbers: [51, 4, 78] Generated Node #2: [51, 4, 78] from Operation: 92-14=78 Current State: 23:[51, 4, 78], Operations: ['92-14=78'] Exploring Operation: 51+4=55, Resulting Numbers: [78, 55] Generated Node #3: [78, 55] from Operation: 51+4=55 Current State: 23:[78, 55], Operations: ['92-14=78', '51+4=55'] Exploring Operation: 78-55=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 9, 93, 17, 12 ]
55
[ "93-9=84", "17+12=29", "84-29=55" ]
Current State: 55:[9, 93, 17, 12], Operations: [] Exploring Operation: 93-9=84, Resulting Numbers: [17, 12, 84] Generated Node #2: [17, 12, 84] from Operation: 93-9=84 Current State: 55:[17, 12, 84], Operations: ['93-9=84'] Exploring Operation: 17+12=29, Resulting Numbers: [84, 29] Generated Node #3: [84, 29] from Operation: 17+12=29 Current State: 55:[84, 29], Operations: ['93-9=84', '17+12=29'] Exploring Operation: 84-29=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 14, 43, 27, 40 ]
69
[ "43-40=3", "14*3=42", "27+42=69" ]
Current State: 69:[14, 43, 27, 40], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [14, 27, 3] Generated Node #2: [14, 27, 3] from Operation: 43-40=3 Current State: 69:[14, 27, 3], Operations: ['43-40=3'] Exploring Operation: 14*3=42, Resulting Numbers: [27, 42] Generated Node #3: [27, 42] from Operation: 14*3=42 Current State: 69:[27, 42], Operations: ['43-40=3', '14*3=42'] Exploring Operation: 27+42=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 37, 53, 52, 75 ]
67
[ "37+53=90", "75-52=23", "90-23=67" ]
Current State: 67:[37, 53, 52, 75], Operations: [] Exploring Operation: 37+53=90, Resulting Numbers: [52, 75, 90] Generated Node #2: [52, 75, 90] from Operation: 37+53=90 Current State: 67:[52, 75, 90], Operations: ['37+53=90'] Exploring Operation: 75-52=23, Resulting Numbers: [90, 23] Generated Node #3: [90, 23] from Operation: 75-52=23 Current State: 67:[90, 23], Operations: ['37+53=90', '75-52=23'] Exploring Operation: 90-23=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 6, 53, 8, 59 ]
96
[ "53-6=47", "59-47=12", "8*12=96" ]
Current State: 96:[6, 53, 8, 59], Operations: [] Exploring Operation: 53-6=47, Resulting Numbers: [8, 59, 47] Generated Node #2: [8, 59, 47] from Operation: 53-6=47 Current State: 96:[8, 59, 47], Operations: ['53-6=47'] Exploring Operation: 59-47=12, Resulting Numbers: [8, 12] Generated Node #3: [8, 12] from Operation: 59-47=12 Current State: 96:[8, 12], Operations: ['53-6=47', '59-47=12'] Exploring Operation: 8*12=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 19, 62, 2, 27 ]
72
[ "62-19=43", "2+27=29", "43+29=72" ]
Current State: 72:[19, 62, 2, 27], Operations: [] Exploring Operation: 62-19=43, Resulting Numbers: [2, 27, 43] Generated Node #2: [2, 27, 43] from Operation: 62-19=43 Current State: 72:[2, 27, 43], Operations: ['62-19=43'] Exploring Operation: 2+27=29, Resulting Numbers: [43, 29] Generated Node #3: [43, 29] from Operation: 2+27=29 Current State: 72:[43, 29], Operations: ['62-19=43', '2+27=29'] Exploring Operation: 43+29=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 38, 24, 21, 51 ]
58
[ "38-24=14", "21+51=72", "72-14=58" ]
Current State: 58:[38, 24, 21, 51], Operations: [] Exploring Operation: 38-24=14, Resulting Numbers: [21, 51, 14] Generated Node #2: [21, 51, 14] from Operation: 38-24=14 Current State: 58:[21, 51, 14], Operations: ['38-24=14'] Exploring Operation: 21+51=72, Resulting Numbers: [14, 72] Generated Node #3: [14, 72] from Operation: 21+51=72 Current State: 58:[14, 72], Operations: ['38-24=14', '21+51=72'] Exploring Operation: 72-14=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 60, 22, 36, 42 ]
76
[ "60+22=82", "42-36=6", "82-6=76" ]
Current State: 76:[60, 22, 36, 42], Operations: [] Exploring Operation: 60+22=82, Resulting Numbers: [36, 42, 82] Generated Node #2: [36, 42, 82] from Operation: 60+22=82 Current State: 76:[36, 42, 82], Operations: ['60+22=82'] Exploring Operation: 42-36=6, Resulting Numbers: [82, 6] Generated Node #3: [82, 6] from Operation: 42-36=6 Current State: 76:[82, 6], Operations: ['60+22=82', '42-36=6'] Exploring Operation: 82-6=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 68, 78, 9, 65 ]
64
[ "78-68=10", "9+65=74", "74-10=64" ]
Current State: 64:[68, 78, 9, 65], Operations: [] Exploring Operation: 78-68=10, Resulting Numbers: [9, 65, 10] Generated Node #2: [9, 65, 10] from Operation: 78-68=10 Current State: 64:[9, 65, 10], Operations: ['78-68=10'] Exploring Operation: 9+65=74, Resulting Numbers: [10, 74] Generated Node #3: [10, 74] from Operation: 9+65=74 Current State: 64:[10, 74], Operations: ['78-68=10', '9+65=74'] Exploring Operation: 74-10=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 79, 5, 67, 45 ]
79
[ "79+67=146", "5*45=225", "225-146=79" ]
Current State: 79:[79, 5, 67, 45], Operations: [] Exploring Operation: 79+67=146, Resulting Numbers: [5, 45, 146] Generated Node #2: [5, 45, 146] from Operation: 79+67=146 Current State: 79:[5, 45, 146], Operations: ['79+67=146'] Exploring Operation: 5*45=225, Resulting Numbers: [146, 225] Generated Node #3: [146, 225] from Operation: 5*45=225 Current State: 79:[146, 225], Operations: ['79+67=146', '5*45=225'] Exploring Operation: 225-146=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 5, 34, 87, 89 ]
12
[ "89-87=2", "34/2=17", "17-5=12" ]
Current State: 12:[5, 34, 87, 89], Operations: [] Exploring Operation: 89-87=2, Resulting Numbers: [5, 34, 2] Generated Node #2: [5, 34, 2] from Operation: 89-87=2 Current State: 12:[5, 34, 2], Operations: ['89-87=2'] Exploring Operation: 34/2=17, Resulting Numbers: [5, 17] Generated Node #3: [5, 17] from Operation: 34/2=17 Current State: 12:[5, 17], Operations: ['89-87=2', '34/2=17'] Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 1, 65, 57, 94 ]
86
[ "1*65=65", "57+94=151", "151-65=86" ]
Current State: 86:[1, 65, 57, 94], Operations: [] Exploring Operation: 1*65=65, Resulting Numbers: [57, 94, 65] Generated Node #2: [57, 94, 65] from Operation: 1*65=65 Current State: 86:[57, 94, 65], Operations: ['1*65=65'] Exploring Operation: 57+94=151, Resulting Numbers: [65, 151] Generated Node #3: [65, 151] from Operation: 57+94=151 Current State: 86:[65, 151], Operations: ['1*65=65', '57+94=151'] Exploring Operation: 151-65=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 17, 29, 27, 57 ]
18
[ "29-17=12", "57-27=30", "30-12=18" ]
Current State: 18:[17, 29, 27, 57], Operations: [] Exploring Operation: 29-17=12, Resulting Numbers: [27, 57, 12] Generated Node #2: [27, 57, 12] from Operation: 29-17=12 Current State: 18:[27, 57, 12], Operations: ['29-17=12'] Exploring Operation: 57-27=30, Resulting Numbers: [12, 30] Generated Node #3: [12, 30] from Operation: 57-27=30 Current State: 18:[12, 30], Operations: ['29-17=12', '57-27=30'] Exploring Operation: 30-12=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 96, 46, 54, 61 ]
43
[ "96-46=50", "61-54=7", "50-7=43" ]
Current State: 43:[96, 46, 54, 61], Operations: [] Exploring Operation: 96-46=50, Resulting Numbers: [54, 61, 50] Generated Node #2: [54, 61, 50] from Operation: 96-46=50 Current State: 43:[54, 61, 50], Operations: ['96-46=50'] Exploring Operation: 61-54=7, Resulting Numbers: [50, 7] Generated Node #3: [50, 7] from Operation: 61-54=7 Current State: 43:[50, 7], Operations: ['96-46=50', '61-54=7'] Exploring Operation: 50-7=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 29, 46, 81, 91 ]
65
[ "29+46=75", "91-81=10", "75-10=65" ]
Current State: 65:[29, 46, 81, 91], Operations: [] Exploring Operation: 29+46=75, Resulting Numbers: [81, 91, 75] Generated Node #2: [81, 91, 75] from Operation: 29+46=75 Current State: 65:[81, 91, 75], Operations: ['29+46=75'] Exploring Operation: 91-81=10, Resulting Numbers: [75, 10] Generated Node #3: [75, 10] from Operation: 91-81=10 Current State: 65:[75, 10], Operations: ['29+46=75', '91-81=10'] Exploring Operation: 75-10=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 57, 38, 77, 8 ]
75
[ "57-38=19", "8*19=152", "152-77=75" ]
Current State: 75:[57, 38, 77, 8], Operations: [] Exploring Operation: 57-38=19, Resulting Numbers: [77, 8, 19] Generated Node #2: [77, 8, 19] from Operation: 57-38=19 Current State: 75:[77, 8, 19], Operations: ['57-38=19'] Exploring Operation: 8*19=152, Resulting Numbers: [77, 152] Generated Node #3: [77, 152] from Operation: 8*19=152 Current State: 75:[77, 152], Operations: ['57-38=19', '8*19=152'] Exploring Operation: 152-77=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 49, 72, 98, 55 ]
91
[ "49*72=3528", "3528/98=36", "55+36=91" ]
Current State: 91:[49, 72, 98, 55], Operations: [] Exploring Operation: 49*72=3528, Resulting Numbers: [98, 55, 3528] Generated Node #2: [98, 55, 3528] from Operation: 49*72=3528 Current State: 91:[98, 55, 3528], Operations: ['49*72=3528'] Exploring Operation: 3528/98=36, Resulting Numbers: [55, 36] Generated Node #3: [55, 36] from Operation: 3528/98=36 Current State: 91:[55, 36], Operations: ['49*72=3528', '3528/98=36'] Exploring Operation: 55+36=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 85, 8, 65, 26 ]
42
[ "85*26=2210", "2210/65=34", "8+34=42" ]
Current State: 42:[85, 8, 65, 26], Operations: [] Exploring Operation: 85*26=2210, Resulting Numbers: [8, 65, 2210] Generated Node #2: [8, 65, 2210] from Operation: 85*26=2210 Current State: 42:[8, 65, 2210], Operations: ['85*26=2210'] Exploring Operation: 2210/65=34, Resulting Numbers: [8, 34] Generated Node #3: [8, 34] from Operation: 2210/65=34 Current State: 42:[8, 34], Operations: ['85*26=2210', '2210/65=34'] Exploring Operation: 8+34=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 20, 61, 7, 66 ]
100
[ "61-20=41", "66-7=59", "41+59=100" ]
Current State: 100:[20, 61, 7, 66], Operations: [] Exploring Operation: 61-20=41, Resulting Numbers: [7, 66, 41] Generated Node #2: [7, 66, 41] from Operation: 61-20=41 Current State: 100:[7, 66, 41], Operations: ['61-20=41'] Exploring Operation: 66-7=59, Resulting Numbers: [41, 59] Generated Node #3: [41, 59] from Operation: 66-7=59 Current State: 100:[41, 59], Operations: ['61-20=41', '66-7=59'] Exploring Operation: 41+59=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 96, 16, 45, 5 ]
49
[ "45-16=29", "5*29=145", "145-96=49" ]
Current State: 49:[96, 16, 45, 5], Operations: [] Exploring Operation: 45-16=29, Resulting Numbers: [96, 5, 29] Generated Node #2: [96, 5, 29] from Operation: 45-16=29 Current State: 49:[96, 5, 29], Operations: ['45-16=29'] Exploring Operation: 5*29=145, Resulting Numbers: [96, 145] Generated Node #3: [96, 145] from Operation: 5*29=145 Current State: 49:[96, 145], Operations: ['45-16=29', '5*29=145'] Exploring Operation: 145-96=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 6, 3, 40, 18 ]
98
[ "6/3=2", "40*2=80", "18+80=98" ]
Current State: 98:[6, 3, 40, 18], Operations: [] Exploring Operation: 6/3=2, Resulting Numbers: [40, 18, 2] Generated Node #2: [40, 18, 2] from Operation: 6/3=2 Current State: 98:[40, 18, 2], Operations: ['6/3=2'] Exploring Operation: 40*2=80, Resulting Numbers: [18, 80] Generated Node #3: [18, 80] from Operation: 40*2=80 Current State: 98:[18, 80], Operations: ['6/3=2', '40*2=80'] Exploring Operation: 18+80=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 53, 7, 59, 56 ]
49
[ "53-7=46", "59-56=3", "46+3=49" ]
Current State: 49:[53, 7, 59, 56], Operations: [] Exploring Operation: 53-7=46, Resulting Numbers: [59, 56, 46] Generated Node #2: [59, 56, 46] from Operation: 53-7=46 Current State: 49:[59, 56, 46], Operations: ['53-7=46'] Exploring Operation: 59-56=3, Resulting Numbers: [46, 3] Generated Node #3: [46, 3] from Operation: 59-56=3 Current State: 49:[46, 3], Operations: ['53-7=46', '59-56=3'] Exploring Operation: 46+3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 30, 9, 8, 4 ]
10
[ "9-8=1", "4-1=3", "30/3=10" ]
Current State: 10:[30, 9, 8, 4], Operations: [] Exploring Operation: 9-8=1, Resulting Numbers: [30, 4, 1] Generated Node #2: [30, 4, 1] from Operation: 9-8=1 Current State: 10:[30, 4, 1], Operations: ['9-8=1'] Exploring Operation: 4-1=3, Resulting Numbers: [30, 3] Generated Node #3: [30, 3] from Operation: 4-1=3 Current State: 10:[30, 3], Operations: ['9-8=1', '4-1=3'] Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4