Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 19, 25, 98, 86 ]
56
[ "19+25=44", "98-86=12", "44+12=56" ]
Current State: 56:[19, 25, 98, 86], Operations: [] Exploring Operation: 19+25=44, Resulting Numbers: [98, 86, 44] Generated Node #2: [98, 86, 44] from Operation: 19+25=44 Current State: 56:[98, 86, 44], Operations: ['19+25=44'] Exploring Operation: 98-86=12, Resulting Numbers: [44, 12] Generated Node #3: [44, 12] from Operation: 98-86=12 Current State: 56:[44, 12], Operations: ['19+25=44', '98-86=12'] Exploring Operation: 44+12=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 49, 90, 90, 95 ]
95
[ "90-90=0", "49*0=0", "95+0=95" ]
Current State: 95:[49, 90, 90, 95], Operations: [] Exploring Operation: 90-90=0, Resulting Numbers: [49, 95, 0] Generated Node #2: [49, 95, 0] from Operation: 90-90=0 Current State: 95:[49, 95, 0], Operations: ['90-90=0'] Exploring Operation: 49*0=0, Resulting Numbers: [95, 0] Generated Node #3: [95, 0] from Operation: 49*0=0 Current State: 95:[95, 0], Operations: ['90-90=0', '49*0=0'] Exploring Operation: 95+0=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 75, 92, 58, 82 ]
41
[ "92-75=17", "82-58=24", "17+24=41" ]
Current State: 41:[75, 92, 58, 82], Operations: [] Exploring Operation: 92-75=17, Resulting Numbers: [58, 82, 17] Generated Node #2: [58, 82, 17] from Operation: 92-75=17 Current State: 41:[58, 82, 17], Operations: ['92-75=17'] Exploring Operation: 82-58=24, Resulting Numbers: [17, 24] Generated Node #3: [17, 24] from Operation: 82-58=24 Current State: 41:[17, 24], Operations: ['92-75=17', '82-58=24'] Exploring Operation: 17+24=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 81, 57, 45, 2 ]
12
[ "81+45=126", "57*2=114", "126-114=12" ]
Current State: 12:[81, 57, 45, 2], Operations: [] Exploring Operation: 81+45=126, Resulting Numbers: [57, 2, 126] Generated Node #2: [57, 2, 126] from Operation: 81+45=126 Current State: 12:[57, 2, 126], Operations: ['81+45=126'] Exploring Operation: 57*2=114, Resulting Numbers: [126, 114] Generated Node #3: [126, 114] from Operation: 57*2=114 Current State: 12:[126, 114], Operations: ['81+45=126', '57*2=114'] Exploring Operation: 126-114=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 60, 5, 6, 45 ]
81
[ "60*6=360", "45+360=405", "405/5=81" ]
Current State: 81:[60, 5, 6, 45], Operations: [] Exploring Operation: 60*6=360, Resulting Numbers: [5, 45, 360] Generated Node #2: [5, 45, 360] from Operation: 60*6=360 Current State: 81:[5, 45, 360], Operations: ['60*6=360'] Exploring Operation: 45+360=405, Resulting Numbers: [5, 405] Generated Node #3: [5, 405] from Operation: 45+360=405 Current State: 81:[5, 405], Operations: ['60*6=360', '45+360=405'] Exploring Operation: 405/5=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 12, 3, 11, 60 ]
64
[ "12+3=15", "60-11=49", "15+49=64" ]
Current State: 64:[12, 3, 11, 60], Operations: [] Exploring Operation: 12+3=15, Resulting Numbers: [11, 60, 15] Generated Node #2: [11, 60, 15] from Operation: 12+3=15 Current State: 64:[11, 60, 15], Operations: ['12+3=15'] Exploring Operation: 60-11=49, Resulting Numbers: [15, 49] Generated Node #3: [15, 49] from Operation: 60-11=49 Current State: 64:[15, 49], Operations: ['12+3=15', '60-11=49'] Exploring Operation: 15+49=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 9, 34, 4, 89 ]
81
[ "9-4=5", "34*5=170", "170-89=81" ]
Current State: 81:[9, 34, 4, 89], Operations: [] Exploring Operation: 9-4=5, Resulting Numbers: [34, 89, 5] Generated Node #2: [34, 89, 5] from Operation: 9-4=5 Current State: 81:[34, 89, 5], Operations: ['9-4=5'] Exploring Operation: 34*5=170, Resulting Numbers: [89, 170] Generated Node #3: [89, 170] from Operation: 34*5=170 Current State: 81:[89, 170], Operations: ['9-4=5', '34*5=170'] Exploring Operation: 170-89=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 41, 10, 88, 96 ]
43
[ "41+10=51", "96-88=8", "51-8=43" ]
Current State: 43:[41, 10, 88, 96], Operations: [] Exploring Operation: 41+10=51, Resulting Numbers: [88, 96, 51] Generated Node #2: [88, 96, 51] from Operation: 41+10=51 Current State: 43:[88, 96, 51], Operations: ['41+10=51'] Exploring Operation: 96-88=8, Resulting Numbers: [51, 8] Generated Node #3: [51, 8] from Operation: 96-88=8 Current State: 43:[51, 8], Operations: ['41+10=51', '96-88=8'] Exploring Operation: 51-8=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 80, 86, 41, 91 ]
34
[ "80+86=166", "41+91=132", "166-132=34" ]
Current State: 34:[80, 86, 41, 91], Operations: [] Exploring Operation: 80+86=166, Resulting Numbers: [41, 91, 166] Generated Node #2: [41, 91, 166] from Operation: 80+86=166 Current State: 34:[41, 91, 166], Operations: ['80+86=166'] Exploring Operation: 41+91=132, Resulting Numbers: [166, 132] Generated Node #3: [166, 132] from Operation: 41+91=132 Current State: 34:[166, 132], Operations: ['80+86=166', '41+91=132'] Exploring Operation: 166-132=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 97, 46, 10, 41 ]
30
[ "97+41=138", "138/46=3", "10*3=30" ]
Current State: 30:[97, 46, 10, 41], Operations: [] Exploring Operation: 97+41=138, Resulting Numbers: [46, 10, 138] Generated Node #2: [46, 10, 138] from Operation: 97+41=138 Current State: 30:[46, 10, 138], Operations: ['97+41=138'] Exploring Operation: 138/46=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 138/46=3 Current State: 30:[10, 3], Operations: ['97+41=138', '138/46=3'] Exploring Operation: 10*3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 10, 18, 50, 96 ]
18
[ "10+18=28", "96-50=46", "46-28=18" ]
Current State: 18:[10, 18, 50, 96], Operations: [] Exploring Operation: 10+18=28, Resulting Numbers: [50, 96, 28] Generated Node #2: [50, 96, 28] from Operation: 10+18=28 Current State: 18:[50, 96, 28], Operations: ['10+18=28'] Exploring Operation: 96-50=46, Resulting Numbers: [28, 46] Generated Node #3: [28, 46] from Operation: 96-50=46 Current State: 18:[28, 46], Operations: ['10+18=28', '96-50=46'] Exploring Operation: 46-28=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 58, 39, 61, 48 ]
61
[ "61-58=3", "39/3=13", "48+13=61" ]
Current State: 61:[58, 39, 61, 48], Operations: [] Exploring Operation: 61-58=3, Resulting Numbers: [39, 48, 3] Generated Node #2: [39, 48, 3] from Operation: 61-58=3 Current State: 61:[39, 48, 3], Operations: ['61-58=3'] Exploring Operation: 39/3=13, Resulting Numbers: [48, 13] Generated Node #3: [48, 13] from Operation: 39/3=13 Current State: 61:[48, 13], Operations: ['61-58=3', '39/3=13'] Exploring Operation: 48+13=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 12, 35, 3, 8 ]
21
[ "35-8=27", "27/3=9", "12+9=21" ]
Current State: 21:[12, 35, 3, 8], Operations: [] Exploring Operation: 35-8=27, Resulting Numbers: [12, 3, 27] Generated Node #2: [12, 3, 27] from Operation: 35-8=27 Current State: 21:[12, 3, 27], Operations: ['35-8=27'] Exploring Operation: 27/3=9, Resulting Numbers: [12, 9] Generated Node #3: [12, 9] from Operation: 27/3=9 Current State: 21:[12, 9], Operations: ['35-8=27', '27/3=9'] Exploring Operation: 12+9=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 24, 78, 26, 97 ]
89
[ "24*26=624", "624/78=8", "97-8=89" ]
Current State: 89:[24, 78, 26, 97], Operations: [] Exploring Operation: 24*26=624, Resulting Numbers: [78, 97, 624] Generated Node #2: [78, 97, 624] from Operation: 24*26=624 Current State: 89:[78, 97, 624], Operations: ['24*26=624'] Exploring Operation: 624/78=8, Resulting Numbers: [97, 8] Generated Node #3: [97, 8] from Operation: 624/78=8 Current State: 89:[97, 8], Operations: ['24*26=624', '624/78=8'] Exploring Operation: 97-8=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 32, 50, 68, 26 ]
40
[ "32+50=82", "68-26=42", "82-42=40" ]
Current State: 40:[32, 50, 68, 26], Operations: [] Exploring Operation: 32+50=82, Resulting Numbers: [68, 26, 82] Generated Node #2: [68, 26, 82] from Operation: 32+50=82 Current State: 40:[68, 26, 82], Operations: ['32+50=82'] Exploring Operation: 68-26=42, Resulting Numbers: [82, 42] Generated Node #3: [82, 42] from Operation: 68-26=42 Current State: 40:[82, 42], Operations: ['32+50=82', '68-26=42'] Exploring Operation: 82-42=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 8, 54, 43, 27 ]
52
[ "43-27=16", "16/8=2", "54-2=52" ]
Current State: 52:[8, 54, 43, 27], Operations: [] Exploring Operation: 43-27=16, Resulting Numbers: [8, 54, 16] Generated Node #2: [8, 54, 16] from Operation: 43-27=16 Current State: 52:[8, 54, 16], Operations: ['43-27=16'] Exploring Operation: 16/8=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 16/8=2 Current State: 52:[54, 2], Operations: ['43-27=16', '16/8=2'] Exploring Operation: 54-2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 35, 60, 63, 27 ]
81
[ "60*63=3780", "3780/35=108", "108-27=81" ]
Current State: 81:[35, 60, 63, 27], Operations: [] Exploring Operation: 60*63=3780, Resulting Numbers: [35, 27, 3780] Generated Node #2: [35, 27, 3780] from Operation: 60*63=3780 Current State: 81:[35, 27, 3780], Operations: ['60*63=3780'] Exploring Operation: 3780/35=108, Resulting Numbers: [27, 108] Generated Node #3: [27, 108] from Operation: 3780/35=108 Current State: 81:[27, 108], Operations: ['60*63=3780', '3780/35=108'] Exploring Operation: 108-27=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 88, 92, 14, 4 ]
56
[ "88/4=22", "92-14=78", "78-22=56" ]
Current State: 56:[88, 92, 14, 4], Operations: [] Exploring Operation: 88/4=22, Resulting Numbers: [92, 14, 22] Generated Node #2: [92, 14, 22] from Operation: 88/4=22 Current State: 56:[92, 14, 22], Operations: ['88/4=22'] Exploring Operation: 92-14=78, Resulting Numbers: [22, 78] Generated Node #3: [22, 78] from Operation: 92-14=78 Current State: 56:[22, 78], Operations: ['88/4=22', '92-14=78'] Exploring Operation: 78-22=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 18, 71, 8, 20 ]
61
[ "18+71=89", "8+20=28", "89-28=61" ]
Current State: 61:[18, 71, 8, 20], Operations: [] Exploring Operation: 18+71=89, Resulting Numbers: [8, 20, 89] Generated Node #2: [8, 20, 89] from Operation: 18+71=89 Current State: 61:[8, 20, 89], Operations: ['18+71=89'] Exploring Operation: 8+20=28, Resulting Numbers: [89, 28] Generated Node #3: [89, 28] from Operation: 8+20=28 Current State: 61:[89, 28], Operations: ['18+71=89', '8+20=28'] Exploring Operation: 89-28=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 22, 74, 80, 8 ]
22
[ "22+74=96", "80+96=176", "176/8=22" ]
Current State: 22:[22, 74, 80, 8], Operations: [] Exploring Operation: 22+74=96, Resulting Numbers: [80, 8, 96] Generated Node #2: [80, 8, 96] from Operation: 22+74=96 Current State: 22:[80, 8, 96], Operations: ['22+74=96'] Exploring Operation: 80+96=176, Resulting Numbers: [8, 176] Generated Node #3: [8, 176] from Operation: 80+96=176 Current State: 22:[8, 176], Operations: ['22+74=96', '80+96=176'] Exploring Operation: 176/8=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 3, 78, 26, 75 ]
87
[ "3+26=29", "78-75=3", "29*3=87" ]
Current State: 87:[3, 78, 26, 75], Operations: [] Exploring Operation: 3+26=29, Resulting Numbers: [78, 75, 29] Generated Node #2: [78, 75, 29] from Operation: 3+26=29 Current State: 87:[78, 75, 29], Operations: ['3+26=29'] Exploring Operation: 78-75=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 78-75=3 Current State: 87:[29, 3], Operations: ['3+26=29', '78-75=3'] Exploring Operation: 29*3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 10, 9, 23, 13 ]
29
[ "10+9=19", "23-13=10", "19+10=29" ]
Current State: 29:[10, 9, 23, 13], Operations: [] Exploring Operation: 10+9=19, Resulting Numbers: [23, 13, 19] Generated Node #2: [23, 13, 19] from Operation: 10+9=19 Current State: 29:[23, 13, 19], Operations: ['10+9=19'] Exploring Operation: 23-13=10, Resulting Numbers: [19, 10] Generated Node #3: [19, 10] from Operation: 23-13=10 Current State: 29:[19, 10], Operations: ['10+9=19', '23-13=10'] Exploring Operation: 19+10=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 66, 24, 23, 46 ]
21
[ "66+24=90", "23+46=69", "90-69=21" ]
Current State: 21:[66, 24, 23, 46], Operations: [] Exploring Operation: 66+24=90, Resulting Numbers: [23, 46, 90] Generated Node #2: [23, 46, 90] from Operation: 66+24=90 Current State: 21:[23, 46, 90], Operations: ['66+24=90'] Exploring Operation: 23+46=69, Resulting Numbers: [90, 69] Generated Node #3: [90, 69] from Operation: 23+46=69 Current State: 21:[90, 69], Operations: ['66+24=90', '23+46=69'] Exploring Operation: 90-69=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 20, 25, 28, 33 ]
25
[ "25-20=5", "33-28=5", "5*5=25" ]
Current State: 25:[20, 25, 28, 33], Operations: [] Exploring Operation: 25-20=5, Resulting Numbers: [28, 33, 5] Generated Node #2: [28, 33, 5] from Operation: 25-20=5 Current State: 25:[28, 33, 5], Operations: ['25-20=5'] Exploring Operation: 33-28=5, Resulting Numbers: [5, 5] Generated Node #3: [5, 5] from Operation: 33-28=5 Current State: 25:[5, 5], Operations: ['25-20=5', '33-28=5'] Exploring Operation: 5*5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 72, 9, 27, 55 ]
90
[ "72/9=8", "27+55=82", "8+82=90" ]
Current State: 90:[72, 9, 27, 55], Operations: [] Exploring Operation: 72/9=8, Resulting Numbers: [27, 55, 8] Generated Node #2: [27, 55, 8] from Operation: 72/9=8 Current State: 90:[27, 55, 8], Operations: ['72/9=8'] Exploring Operation: 27+55=82, Resulting Numbers: [8, 82] Generated Node #3: [8, 82] from Operation: 27+55=82 Current State: 90:[8, 82], Operations: ['72/9=8', '27+55=82'] Exploring Operation: 8+82=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 48, 21, 21, 21 ]
28
[ "48-21=27", "21/21=1", "27+1=28" ]
Current State: 28:[48, 21, 21, 21], Operations: [] Exploring Operation: 48-21=27, Resulting Numbers: [27] 27,28 equal: Goal Reached Exploring Operation: 21/21=1, Resulting Numbers: [27, 1] Generated Node #2: [27, 1] from Operation: 21/21=1 Current State: 28:[27, 1], Operations: ['21/21=1'] Exploring Operation: 27+1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 8, 72, 50, 28 ]
86
[ "72-8=64", "50-28=22", "64+22=86" ]
Current State: 86:[8, 72, 50, 28], Operations: [] Exploring Operation: 72-8=64, Resulting Numbers: [50, 28, 64] Generated Node #2: [50, 28, 64] from Operation: 72-8=64 Current State: 86:[50, 28, 64], Operations: ['72-8=64'] Exploring Operation: 50-28=22, Resulting Numbers: [64, 22] Generated Node #3: [64, 22] from Operation: 50-28=22 Current State: 86:[64, 22], Operations: ['72-8=64', '50-28=22'] Exploring Operation: 64+22=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 61, 74, 86, 94 ]
45
[ "61+74=135", "86+94=180", "180-135=45" ]
Current State: 45:[61, 74, 86, 94], Operations: [] Exploring Operation: 61+74=135, Resulting Numbers: [86, 94, 135] Generated Node #2: [86, 94, 135] from Operation: 61+74=135 Current State: 45:[86, 94, 135], Operations: ['61+74=135'] Exploring Operation: 86+94=180, Resulting Numbers: [135, 180] Generated Node #3: [135, 180] from Operation: 86+94=180 Current State: 45:[135, 180], Operations: ['61+74=135', '86+94=180'] Exploring Operation: 180-135=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 49, 36, 60, 57 ]
32
[ "49+36=85", "60+57=117", "117-85=32" ]
Current State: 32:[49, 36, 60, 57], Operations: [] Exploring Operation: 49+36=85, Resulting Numbers: [60, 57, 85] Generated Node #2: [60, 57, 85] from Operation: 49+36=85 Current State: 32:[60, 57, 85], Operations: ['49+36=85'] Exploring Operation: 60+57=117, Resulting Numbers: [85, 117] Generated Node #3: [85, 117] from Operation: 60+57=117 Current State: 32:[85, 117], Operations: ['49+36=85', '60+57=117'] Exploring Operation: 117-85=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 6, 52, 7, 98 ]
72
[ "6+52=58", "98/7=14", "58+14=72" ]
Current State: 72:[6, 52, 7, 98], Operations: [] Exploring Operation: 6+52=58, Resulting Numbers: [7, 98, 58] Generated Node #2: [7, 98, 58] from Operation: 6+52=58 Current State: 72:[7, 98, 58], Operations: ['6+52=58'] Exploring Operation: 98/7=14, Resulting Numbers: [58, 14] Generated Node #3: [58, 14] from Operation: 98/7=14 Current State: 72:[58, 14], Operations: ['6+52=58', '98/7=14'] Exploring Operation: 58+14=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 20, 25, 43, 2 ]
53
[ "25-20=5", "2*5=10", "43+10=53" ]
Current State: 53:[20, 25, 43, 2], Operations: [] Exploring Operation: 25-20=5, Resulting Numbers: [43, 2, 5] Generated Node #2: [43, 2, 5] from Operation: 25-20=5 Current State: 53:[43, 2, 5], Operations: ['25-20=5'] Exploring Operation: 2*5=10, Resulting Numbers: [43, 10] Generated Node #3: [43, 10] from Operation: 2*5=10 Current State: 53:[43, 10], Operations: ['25-20=5', '2*5=10'] Exploring Operation: 43+10=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 44, 38, 69, 21 ]
96
[ "44-38=6", "69+21=90", "6+90=96" ]
Current State: 96:[44, 38, 69, 21], Operations: [] Exploring Operation: 44-38=6, Resulting Numbers: [69, 21, 6] Generated Node #2: [69, 21, 6] from Operation: 44-38=6 Current State: 96:[69, 21, 6], Operations: ['44-38=6'] Exploring Operation: 69+21=90, Resulting Numbers: [6, 90] Generated Node #3: [6, 90] from Operation: 69+21=90 Current State: 96:[6, 90], Operations: ['44-38=6', '69+21=90'] Exploring Operation: 6+90=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 56, 77, 87, 10 ]
57
[ "87-77=10", "10/10=1", "56+1=57" ]
Current State: 57:[56, 77, 87, 10], Operations: [] Exploring Operation: 87-77=10, Resulting Numbers: [56, 10, 10] Generated Node #2: [56, 10, 10] from Operation: 87-77=10 Current State: 57:[56, 10, 10], Operations: ['87-77=10'] Exploring Operation: 10/10=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 10/10=1 Current State: 57:[56, 1], Operations: ['87-77=10', '10/10=1'] Exploring Operation: 56+1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 76, 77, 2, 30 ]
18
[ "77-30=47", "2*47=94", "94-76=18" ]
Current State: 18:[76, 77, 2, 30], Operations: [] Exploring Operation: 77-30=47, Resulting Numbers: [76, 2, 47] Generated Node #2: [76, 2, 47] from Operation: 77-30=47 Current State: 18:[76, 2, 47], Operations: ['77-30=47'] Exploring Operation: 2*47=94, Resulting Numbers: [76, 94] Generated Node #3: [76, 94] from Operation: 2*47=94 Current State: 18:[76, 94], Operations: ['77-30=47', '2*47=94'] Exploring Operation: 94-76=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 18, 80, 56, 49 ]
43
[ "80-18=62", "56+49=105", "105-62=43" ]
Current State: 43:[18, 80, 56, 49], Operations: [] Exploring Operation: 80-18=62, Resulting Numbers: [56, 49, 62] Generated Node #2: [56, 49, 62] from Operation: 80-18=62 Current State: 43:[56, 49, 62], Operations: ['80-18=62'] Exploring Operation: 56+49=105, Resulting Numbers: [62, 105] Generated Node #3: [62, 105] from Operation: 56+49=105 Current State: 43:[62, 105], Operations: ['80-18=62', '56+49=105'] Exploring Operation: 105-62=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 26, 2, 19, 76 ]
96
[ "26-2=24", "76/19=4", "24*4=96" ]
Current State: 96:[26, 2, 19, 76], Operations: [] Exploring Operation: 26-2=24, Resulting Numbers: [19, 76, 24] Generated Node #2: [19, 76, 24] from Operation: 26-2=24 Current State: 96:[19, 76, 24], Operations: ['26-2=24'] Exploring Operation: 76/19=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 76/19=4 Current State: 96:[24, 4], Operations: ['26-2=24', '76/19=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 70, 53, 45, 56 ]
85
[ "56-53=3", "45/3=15", "70+15=85" ]
Current State: 85:[70, 53, 45, 56], Operations: [] Exploring Operation: 56-53=3, Resulting Numbers: [70, 45, 3] Generated Node #2: [70, 45, 3] from Operation: 56-53=3 Current State: 85:[70, 45, 3], Operations: ['56-53=3'] Exploring Operation: 45/3=15, Resulting Numbers: [70, 15] Generated Node #3: [70, 15] from Operation: 45/3=15 Current State: 85:[70, 15], Operations: ['56-53=3', '45/3=15'] Exploring Operation: 70+15=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 46, 32, 13, 30 ]
30
[ "46-32=14", "14-13=1", "30*1=30" ]
Current State: 30:[46, 32, 13, 30], Operations: [] Exploring Operation: 46-32=14, Resulting Numbers: [13, 30, 14] Generated Node #2: [13, 30, 14] from Operation: 46-32=14 Current State: 30:[13, 30, 14], Operations: ['46-32=14'] Exploring Operation: 14-13=1, Resulting Numbers: [30, 1] Generated Node #3: [30, 1] from Operation: 14-13=1 Current State: 30:[30, 1], Operations: ['46-32=14', '14-13=1'] Exploring Operation: 30*1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 56, 4, 52, 34 ]
50
[ "56-52=4", "4*4=16", "34+16=50" ]
Current State: 50:[56, 4, 52, 34], Operations: [] Exploring Operation: 56-52=4, Resulting Numbers: [4, 34, 4] Generated Node #2: [4, 34, 4] from Operation: 56-52=4 Current State: 50:[4, 34, 4], Operations: ['56-52=4'] Exploring Operation: 4*4=16, Resulting Numbers: [34, 16] Generated Node #3: [34, 16] from Operation: 4*4=16 Current State: 50:[34, 16], Operations: ['56-52=4', '4*4=16'] Exploring Operation: 34+16=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 69, 7, 27, 53 ]
77
[ "69-27=42", "53-42=11", "7*11=77" ]
Current State: 77:[69, 7, 27, 53], Operations: [] Exploring Operation: 69-27=42, Resulting Numbers: [7, 53, 42] Generated Node #2: [7, 53, 42] from Operation: 69-27=42 Current State: 77:[7, 53, 42], Operations: ['69-27=42'] Exploring Operation: 53-42=11, Resulting Numbers: [7, 11] Generated Node #3: [7, 11] from Operation: 53-42=11 Current State: 77:[7, 11], Operations: ['69-27=42', '53-42=11'] Exploring Operation: 7*11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 93, 40, 53, 42 ]
13
[ "42-40=2", "53*2=106", "106-93=13" ]
Current State: 13:[93, 40, 53, 42], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [93, 53, 2] Generated Node #2: [93, 53, 2] from Operation: 42-40=2 Current State: 13:[93, 53, 2], Operations: ['42-40=2'] Exploring Operation: 53*2=106, Resulting Numbers: [93, 106] Generated Node #3: [93, 106] from Operation: 53*2=106 Current State: 13:[93, 106], Operations: ['42-40=2', '53*2=106'] Exploring Operation: 106-93=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 61, 54, 62, 26 ]
95
[ "61-54=7", "62+26=88", "7+88=95" ]
Current State: 95:[61, 54, 62, 26], Operations: [] Exploring Operation: 61-54=7, Resulting Numbers: [62, 26, 7] Generated Node #2: [62, 26, 7] from Operation: 61-54=7 Current State: 95:[62, 26, 7], Operations: ['61-54=7'] Exploring Operation: 62+26=88, Resulting Numbers: [7, 88] Generated Node #3: [7, 88] from Operation: 62+26=88 Current State: 95:[7, 88], Operations: ['61-54=7', '62+26=88'] Exploring Operation: 7+88=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 56, 58, 67, 69 ]
86
[ "69-67=2", "56/2=28", "58+28=86" ]
Current State: 86:[56, 58, 67, 69], Operations: [] Exploring Operation: 69-67=2, Resulting Numbers: [56, 58, 2] Generated Node #2: [56, 58, 2] from Operation: 69-67=2 Current State: 86:[56, 58, 2], Operations: ['69-67=2'] Exploring Operation: 56/2=28, Resulting Numbers: [58, 28] Generated Node #3: [58, 28] from Operation: 56/2=28 Current State: 86:[58, 28], Operations: ['69-67=2', '56/2=28'] Exploring Operation: 58+28=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 41, 45, 25, 82 ]
61
[ "45-41=4", "82-25=57", "4+57=61" ]
Current State: 61:[41, 45, 25, 82], Operations: [] Exploring Operation: 45-41=4, Resulting Numbers: [25, 82, 4] Generated Node #2: [25, 82, 4] from Operation: 45-41=4 Current State: 61:[25, 82, 4], Operations: ['45-41=4'] Exploring Operation: 82-25=57, Resulting Numbers: [4, 57] Generated Node #3: [4, 57] from Operation: 82-25=57 Current State: 61:[4, 57], Operations: ['45-41=4', '82-25=57'] Exploring Operation: 4+57=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 3, 11, 6, 48 ]
22
[ "3+11=14", "48/6=8", "14+8=22" ]
Current State: 22:[3, 11, 6, 48], Operations: [] Exploring Operation: 3+11=14, Resulting Numbers: [6, 48, 14] Generated Node #2: [6, 48, 14] from Operation: 3+11=14 Current State: 22:[6, 48, 14], Operations: ['3+11=14'] Exploring Operation: 48/6=8, Resulting Numbers: [14, 8] Generated Node #3: [14, 8] from Operation: 48/6=8 Current State: 22:[14, 8], Operations: ['3+11=14', '48/6=8'] Exploring Operation: 14+8=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 37, 1, 56, 69 ]
89
[ "37-1=36", "56+69=125", "125-36=89" ]
Current State: 89:[37, 1, 56, 69], Operations: [] Exploring Operation: 37-1=36, Resulting Numbers: [56, 69, 36] Generated Node #2: [56, 69, 36] from Operation: 37-1=36 Current State: 89:[56, 69, 36], Operations: ['37-1=36'] Exploring Operation: 56+69=125, Resulting Numbers: [36, 125] Generated Node #3: [36, 125] from Operation: 56+69=125 Current State: 89:[36, 125], Operations: ['37-1=36', '56+69=125'] Exploring Operation: 125-36=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 29, 17, 9, 27 ]
97
[ "29+27=56", "17*9=153", "153-56=97" ]
Current State: 97:[29, 17, 9, 27], Operations: [] Exploring Operation: 29+27=56, Resulting Numbers: [17, 9, 56] Generated Node #2: [17, 9, 56] from Operation: 29+27=56 Current State: 97:[17, 9, 56], Operations: ['29+27=56'] Exploring Operation: 17*9=153, Resulting Numbers: [56, 153] Generated Node #3: [56, 153] from Operation: 17*9=153 Current State: 97:[56, 153], Operations: ['29+27=56', '17*9=153'] Exploring Operation: 153-56=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 70, 80, 9, 78 ]
88
[ "80-78=2", "9*2=18", "70+18=88" ]
Current State: 88:[70, 80, 9, 78], Operations: [] Exploring Operation: 80-78=2, Resulting Numbers: [70, 9, 2] Generated Node #2: [70, 9, 2] from Operation: 80-78=2 Current State: 88:[70, 9, 2], Operations: ['80-78=2'] Exploring Operation: 9*2=18, Resulting Numbers: [70, 18] Generated Node #3: [70, 18] from Operation: 9*2=18 Current State: 88:[70, 18], Operations: ['80-78=2', '9*2=18'] Exploring Operation: 70+18=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 17, 72, 96, 42 ]
39
[ "96*42=4032", "4032/72=56", "56-17=39" ]
Current State: 39:[17, 72, 96, 42], Operations: [] Exploring Operation: 96*42=4032, Resulting Numbers: [17, 72, 4032] Generated Node #2: [17, 72, 4032] from Operation: 96*42=4032 Current State: 39:[17, 72, 4032], Operations: ['96*42=4032'] Exploring Operation: 4032/72=56, Resulting Numbers: [17, 56] Generated Node #3: [17, 56] from Operation: 4032/72=56 Current State: 39:[17, 56], Operations: ['96*42=4032', '4032/72=56'] Exploring Operation: 56-17=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 4, 75, 49, 85 ]
43
[ "4+75=79", "85-49=36", "79-36=43" ]
Current State: 43:[4, 75, 49, 85], Operations: [] Exploring Operation: 4+75=79, Resulting Numbers: [49, 85, 79] Generated Node #2: [49, 85, 79] from Operation: 4+75=79 Current State: 43:[49, 85, 79], Operations: ['4+75=79'] Exploring Operation: 85-49=36, Resulting Numbers: [79, 36] Generated Node #3: [79, 36] from Operation: 85-49=36 Current State: 43:[79, 36], Operations: ['4+75=79', '85-49=36'] Exploring Operation: 79-36=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 94, 22, 11, 90 ]
22
[ "94-90=4", "11*4=44", "44-22=22" ]
Current State: 22:[94, 22, 11, 90], Operations: [] Exploring Operation: 94-90=4, Resulting Numbers: [22, 11, 4] Generated Node #2: [22, 11, 4] from Operation: 94-90=4 Current State: 22:[22, 11, 4], Operations: ['94-90=4'] Exploring Operation: 11*4=44, Resulting Numbers: [22, 44] Generated Node #3: [22, 44] from Operation: 11*4=44 Current State: 22:[22, 44], Operations: ['94-90=4', '11*4=44'] Exploring Operation: 44-22=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 48, 24, 51, 10 ]
11
[ "48+24=72", "51+10=61", "72-61=11" ]
Current State: 11:[48, 24, 51, 10], Operations: [] Exploring Operation: 48+24=72, Resulting Numbers: [51, 10, 72] Generated Node #2: [51, 10, 72] from Operation: 48+24=72 Current State: 11:[51, 10, 72], Operations: ['48+24=72'] Exploring Operation: 51+10=61, Resulting Numbers: [72, 61] Generated Node #3: [72, 61] from Operation: 51+10=61 Current State: 11:[72, 61], Operations: ['48+24=72', '51+10=61'] Exploring Operation: 72-61=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 33, 62, 35, 66 ]
60
[ "62-33=29", "66-35=31", "29+31=60" ]
Current State: 60:[33, 62, 35, 66], Operations: [] Exploring Operation: 62-33=29, Resulting Numbers: [35, 66, 29] Generated Node #2: [35, 66, 29] from Operation: 62-33=29 Current State: 60:[35, 66, 29], Operations: ['62-33=29'] Exploring Operation: 66-35=31, Resulting Numbers: [29, 31] Generated Node #3: [29, 31] from Operation: 66-35=31 Current State: 60:[29, 31], Operations: ['62-33=29', '66-35=31'] Exploring Operation: 29+31=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 13, 30, 64, 7 ]
88
[ "30-13=17", "64+7=71", "17+71=88" ]
Current State: 88:[13, 30, 64, 7], Operations: [] Exploring Operation: 30-13=17, Resulting Numbers: [64, 7, 17] Generated Node #2: [64, 7, 17] from Operation: 30-13=17 Current State: 88:[64, 7, 17], Operations: ['30-13=17'] Exploring Operation: 64+7=71, Resulting Numbers: [17, 71] Generated Node #3: [17, 71] from Operation: 64+7=71 Current State: 88:[17, 71], Operations: ['30-13=17', '64+7=71'] Exploring Operation: 17+71=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 8, 30, 23, 62 ]
27
[ "62-30=32", "32/8=4", "23+4=27" ]
Current State: 27:[8, 30, 23, 62], Operations: [] Exploring Operation: 62-30=32, Resulting Numbers: [8, 23, 32] Generated Node #2: [8, 23, 32] from Operation: 62-30=32 Current State: 27:[8, 23, 32], Operations: ['62-30=32'] Exploring Operation: 32/8=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 32/8=4 Current State: 27:[23, 4], Operations: ['62-30=32', '32/8=4'] Exploring Operation: 23+4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 74, 70, 14, 43 ]
61
[ "74-70=4", "14+43=57", "4+57=61" ]
Current State: 61:[74, 70, 14, 43], Operations: [] Exploring Operation: 74-70=4, Resulting Numbers: [14, 43, 4] Generated Node #2: [14, 43, 4] from Operation: 74-70=4 Current State: 61:[14, 43, 4], Operations: ['74-70=4'] Exploring Operation: 14+43=57, Resulting Numbers: [4, 57] Generated Node #3: [4, 57] from Operation: 14+43=57 Current State: 61:[4, 57], Operations: ['74-70=4', '14+43=57'] Exploring Operation: 4+57=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 47, 4, 13, 39 ]
95
[ "47-4=43", "13+39=52", "43+52=95" ]
Current State: 95:[47, 4, 13, 39], Operations: [] Exploring Operation: 47-4=43, Resulting Numbers: [13, 39, 43] Generated Node #2: [13, 39, 43] from Operation: 47-4=43 Current State: 95:[13, 39, 43], Operations: ['47-4=43'] Exploring Operation: 13+39=52, Resulting Numbers: [43, 52] Generated Node #3: [43, 52] from Operation: 13+39=52 Current State: 95:[43, 52], Operations: ['47-4=43', '13+39=52'] Exploring Operation: 43+52=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 36, 48, 86, 15 ]
30
[ "36+48=84", "86-84=2", "15*2=30" ]
Current State: 30:[36, 48, 86, 15], Operations: [] Exploring Operation: 36+48=84, Resulting Numbers: [86, 15, 84] Generated Node #2: [86, 15, 84] from Operation: 36+48=84 Current State: 30:[86, 15, 84], Operations: ['36+48=84'] Exploring Operation: 86-84=2, Resulting Numbers: [15, 2] Generated Node #3: [15, 2] from Operation: 86-84=2 Current State: 30:[15, 2], Operations: ['36+48=84', '86-84=2'] Exploring Operation: 15*2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 36, 3, 4, 26 ]
94
[ "36+4=40", "3*40=120", "120-26=94" ]
Current State: 94:[36, 3, 4, 26], Operations: [] Exploring Operation: 36+4=40, Resulting Numbers: [3, 26, 40] Generated Node #2: [3, 26, 40] from Operation: 36+4=40 Current State: 94:[3, 26, 40], Operations: ['36+4=40'] Exploring Operation: 3*40=120, Resulting Numbers: [26, 120] Generated Node #3: [26, 120] from Operation: 3*40=120 Current State: 94:[26, 120], Operations: ['36+4=40', '3*40=120'] Exploring Operation: 120-26=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 85, 14, 91, 87 ]
75
[ "85-14=71", "91-87=4", "71+4=75" ]
Current State: 75:[85, 14, 91, 87], Operations: [] Exploring Operation: 85-14=71, Resulting Numbers: [91, 87, 71] Generated Node #2: [91, 87, 71] from Operation: 85-14=71 Current State: 75:[91, 87, 71], Operations: ['85-14=71'] Exploring Operation: 91-87=4, Resulting Numbers: [71, 4] Generated Node #3: [71, 4] from Operation: 91-87=4 Current State: 75:[71, 4], Operations: ['85-14=71', '91-87=4'] Exploring Operation: 71+4=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 8, 56, 83, 78 ]
93
[ "78-56=22", "8*22=176", "176-83=93" ]
Current State: 93:[8, 56, 83, 78], Operations: [] Exploring Operation: 78-56=22, Resulting Numbers: [8, 83, 22] Generated Node #2: [8, 83, 22] from Operation: 78-56=22 Current State: 93:[8, 83, 22], Operations: ['78-56=22'] Exploring Operation: 8*22=176, Resulting Numbers: [83, 176] Generated Node #3: [83, 176] from Operation: 8*22=176 Current State: 93:[83, 176], Operations: ['78-56=22', '8*22=176'] Exploring Operation: 176-83=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 1, 46, 39, 68 ]
26
[ "1+68=69", "46*39=1794", "1794/69=26" ]
Current State: 26:[1, 46, 39, 68], Operations: [] Exploring Operation: 1+68=69, Resulting Numbers: [46, 39, 69] Generated Node #2: [46, 39, 69] from Operation: 1+68=69 Current State: 26:[46, 39, 69], Operations: ['1+68=69'] Exploring Operation: 46*39=1794, Resulting Numbers: [69, 1794] Generated Node #3: [69, 1794] from Operation: 46*39=1794 Current State: 26:[69, 1794], Operations: ['1+68=69', '46*39=1794'] Exploring Operation: 1794/69=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 23, 57, 26, 74 ]
51
[ "26-23=3", "74-57=17", "3*17=51" ]
Current State: 51:[23, 57, 26, 74], Operations: [] Exploring Operation: 26-23=3, Resulting Numbers: [57, 74, 3] Generated Node #2: [57, 74, 3] from Operation: 26-23=3 Current State: 51:[57, 74, 3], Operations: ['26-23=3'] Exploring Operation: 74-57=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 74-57=17 Current State: 51:[3, 17], Operations: ['26-23=3', '74-57=17'] Exploring Operation: 3*17=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 66, 81, 34, 53 ]
11
[ "81-34=47", "53-47=6", "66/6=11" ]
Current State: 11:[66, 81, 34, 53], Operations: [] Exploring Operation: 81-34=47, Resulting Numbers: [66, 53, 47] Generated Node #2: [66, 53, 47] from Operation: 81-34=47 Current State: 11:[66, 53, 47], Operations: ['81-34=47'] Exploring Operation: 53-47=6, Resulting Numbers: [66, 6] Generated Node #3: [66, 6] from Operation: 53-47=6 Current State: 11:[66, 6], Operations: ['81-34=47', '53-47=6'] Exploring Operation: 66/6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 60, 48, 74, 50 ]
88
[ "50-48=2", "74*2=148", "148-60=88" ]
Current State: 88:[60, 48, 74, 50], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [60, 74, 2] Generated Node #2: [60, 74, 2] from Operation: 50-48=2 Current State: 88:[60, 74, 2], Operations: ['50-48=2'] Exploring Operation: 74*2=148, Resulting Numbers: [60, 148] Generated Node #3: [60, 148] from Operation: 74*2=148 Current State: 88:[60, 148], Operations: ['50-48=2', '74*2=148'] Exploring Operation: 148-60=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 51, 4, 32, 40 ]
73
[ "51+32=83", "40/4=10", "83-10=73" ]
Current State: 73:[51, 4, 32, 40], Operations: [] Exploring Operation: 51+32=83, Resulting Numbers: [4, 40, 83] Generated Node #2: [4, 40, 83] from Operation: 51+32=83 Current State: 73:[4, 40, 83], Operations: ['51+32=83'] Exploring Operation: 40/4=10, Resulting Numbers: [83, 10] Generated Node #3: [83, 10] from Operation: 40/4=10 Current State: 73:[83, 10], Operations: ['51+32=83', '40/4=10'] Exploring Operation: 83-10=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 62, 51, 69, 12 ]
72
[ "51+69=120", "120/12=10", "62+10=72" ]
Current State: 72:[62, 51, 69, 12], Operations: [] Exploring Operation: 51+69=120, Resulting Numbers: [62, 12, 120] Generated Node #2: [62, 12, 120] from Operation: 51+69=120 Current State: 72:[62, 12, 120], Operations: ['51+69=120'] Exploring Operation: 120/12=10, Resulting Numbers: [62, 10] Generated Node #3: [62, 10] from Operation: 120/12=10 Current State: 72:[62, 10], Operations: ['51+69=120', '120/12=10'] Exploring Operation: 62+10=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 7, 30, 1, 2 ]
97
[ "1+2=3", "30*3=90", "7+90=97" ]
Current State: 97:[7, 30, 1, 2], Operations: [] Exploring Operation: 1+2=3, Resulting Numbers: [7, 30, 3] Generated Node #2: [7, 30, 3] from Operation: 1+2=3 Current State: 97:[7, 30, 3], Operations: ['1+2=3'] Exploring Operation: 30*3=90, Resulting Numbers: [7, 90] Generated Node #3: [7, 90] from Operation: 30*3=90 Current State: 97:[7, 90], Operations: ['1+2=3', '30*3=90'] Exploring Operation: 7+90=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 56, 79, 37, 44 ]
58
[ "79-56=23", "37+44=81", "81-23=58" ]
Current State: 58:[56, 79, 37, 44], Operations: [] Exploring Operation: 79-56=23, Resulting Numbers: [37, 44, 23] Generated Node #2: [37, 44, 23] from Operation: 79-56=23 Current State: 58:[37, 44, 23], Operations: ['79-56=23'] Exploring Operation: 37+44=81, Resulting Numbers: [23, 81] Generated Node #3: [23, 81] from Operation: 37+44=81 Current State: 58:[23, 81], Operations: ['79-56=23', '37+44=81'] Exploring Operation: 81-23=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 46, 21, 76, 10 ]
24
[ "76-46=30", "30/10=3", "21+3=24" ]
Current State: 24:[46, 21, 76, 10], Operations: [] Exploring Operation: 76-46=30, Resulting Numbers: [21, 10, 30] Generated Node #2: [21, 10, 30] from Operation: 76-46=30 Current State: 24:[21, 10, 30], Operations: ['76-46=30'] Exploring Operation: 30/10=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 30/10=3 Current State: 24:[21, 3], Operations: ['76-46=30', '30/10=3'] Exploring Operation: 21+3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 80, 96, 81, 84 ]
76
[ "80*81=6480", "6480-96=6384", "6384/84=76" ]
Current State: 76:[80, 96, 81, 84], Operations: [] Exploring Operation: 80*81=6480, Resulting Numbers: [96, 84, 6480] Generated Node #2: [96, 84, 6480] from Operation: 80*81=6480 Current State: 76:[96, 84, 6480], Operations: ['80*81=6480'] Exploring Operation: 6480-96=6384, Resulting Numbers: [84, 6384] Generated Node #3: [84, 6384] from Operation: 6480-96=6384 Current State: 76:[84, 6384], Operations: ['80*81=6480', '6480-96=6384'] Exploring Operation: 6384/84=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 49, 86, 42, 87 ]
91
[ "49+42=91", "87-86=1", "91*1=91" ]
Current State: 91:[49, 86, 42, 87], Operations: [] Exploring Operation: 49+42=91, Resulting Numbers: [86, 87, 91] Generated Node #2: [86, 87, 91] from Operation: 49+42=91 Current State: 91:[86, 87, 91], Operations: ['49+42=91'] Exploring Operation: 87-86=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 87-86=1 Current State: 91:[91, 1], Operations: ['49+42=91', '87-86=1'] Exploring Operation: 91*1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 4, 46, 25, 6 ]
81
[ "4+46=50", "25+6=31", "50+31=81" ]
Current State: 81:[4, 46, 25, 6], Operations: [] Exploring Operation: 4+46=50, Resulting Numbers: [25, 6, 50] Generated Node #2: [25, 6, 50] from Operation: 4+46=50 Current State: 81:[25, 6, 50], Operations: ['4+46=50'] Exploring Operation: 25+6=31, Resulting Numbers: [50, 31] Generated Node #3: [50, 31] from Operation: 25+6=31 Current State: 81:[50, 31], Operations: ['4+46=50', '25+6=31'] Exploring Operation: 50+31=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 16, 40, 52, 27 ]
12
[ "40-27=13", "52/13=4", "16-4=12" ]
Current State: 12:[16, 40, 52, 27], Operations: [] Exploring Operation: 40-27=13, Resulting Numbers: [16, 52, 13] Generated Node #2: [16, 52, 13] from Operation: 40-27=13 Current State: 12:[16, 52, 13], Operations: ['40-27=13'] Exploring Operation: 52/13=4, Resulting Numbers: [16, 4] Generated Node #3: [16, 4] from Operation: 52/13=4 Current State: 12:[16, 4], Operations: ['40-27=13', '52/13=4'] Exploring Operation: 16-4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 39, 42, 41, 46 ]
29
[ "42-39=3", "41+46=87", "87/3=29" ]
Current State: 29:[39, 42, 41, 46], Operations: [] Exploring Operation: 42-39=3, Resulting Numbers: [41, 46, 3] Generated Node #2: [41, 46, 3] from Operation: 42-39=3 Current State: 29:[41, 46, 3], Operations: ['42-39=3'] Exploring Operation: 41+46=87, Resulting Numbers: [3, 87] Generated Node #3: [3, 87] from Operation: 41+46=87 Current State: 29:[3, 87], Operations: ['42-39=3', '41+46=87'] Exploring Operation: 87/3=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 26, 76, 89, 84 ]
54
[ "89-84=5", "26*5=130", "130-76=54" ]
Current State: 54:[26, 76, 89, 84], Operations: [] Exploring Operation: 89-84=5, Resulting Numbers: [26, 76, 5] Generated Node #2: [26, 76, 5] from Operation: 89-84=5 Current State: 54:[26, 76, 5], Operations: ['89-84=5'] Exploring Operation: 26*5=130, Resulting Numbers: [76, 130] Generated Node #3: [76, 130] from Operation: 26*5=130 Current State: 54:[76, 130], Operations: ['89-84=5', '26*5=130'] Exploring Operation: 130-76=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 14, 3, 21, 35 ]
57
[ "3+35=38", "21*38=798", "798/14=57" ]
Current State: 57:[14, 3, 21, 35], Operations: [] Exploring Operation: 3+35=38, Resulting Numbers: [14, 21, 38] Generated Node #2: [14, 21, 38] from Operation: 3+35=38 Current State: 57:[14, 21, 38], Operations: ['3+35=38'] Exploring Operation: 21*38=798, Resulting Numbers: [14, 798] Generated Node #3: [14, 798] from Operation: 21*38=798 Current State: 57:[14, 798], Operations: ['3+35=38', '21*38=798'] Exploring Operation: 798/14=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 50, 13, 94, 34 ]
48
[ "13+34=47", "94/47=2", "50-2=48" ]
Current State: 48:[50, 13, 94, 34], Operations: [] Exploring Operation: 13+34=47, Resulting Numbers: [50, 94, 47] Generated Node #2: [50, 94, 47] from Operation: 13+34=47 Current State: 48:[50, 94, 47], Operations: ['13+34=47'] Exploring Operation: 94/47=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 94/47=2 Current State: 48:[50, 2], Operations: ['13+34=47', '94/47=2'] Exploring Operation: 50-2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 87, 40, 12, 25 ]
34
[ "87-40=47", "25-12=13", "47-13=34" ]
Current State: 34:[87, 40, 12, 25], Operations: [] Exploring Operation: 87-40=47, Resulting Numbers: [12, 25, 47] Generated Node #2: [12, 25, 47] from Operation: 87-40=47 Current State: 34:[12, 25, 47], Operations: ['87-40=47'] Exploring Operation: 25-12=13, Resulting Numbers: [47, 13] Generated Node #3: [47, 13] from Operation: 25-12=13 Current State: 34:[47, 13], Operations: ['87-40=47', '25-12=13'] Exploring Operation: 47-13=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 31, 37, 81, 56 ]
84
[ "37+56=93", "93/31=3", "81+3=84" ]
Current State: 84:[31, 37, 81, 56], Operations: [] Exploring Operation: 37+56=93, Resulting Numbers: [31, 81, 93] Generated Node #2: [31, 81, 93] from Operation: 37+56=93 Current State: 84:[31, 81, 93], Operations: ['37+56=93'] Exploring Operation: 93/31=3, Resulting Numbers: [81, 3] Generated Node #3: [81, 3] from Operation: 93/31=3 Current State: 84:[81, 3], Operations: ['37+56=93', '93/31=3'] Exploring Operation: 81+3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 54, 40, 38, 18 ]
34
[ "54-40=14", "38-18=20", "14+20=34" ]
Current State: 34:[54, 40, 38, 18], Operations: [] Exploring Operation: 54-40=14, Resulting Numbers: [38, 18, 14] Generated Node #2: [38, 18, 14] from Operation: 54-40=14 Current State: 34:[38, 18, 14], Operations: ['54-40=14'] Exploring Operation: 38-18=20, Resulting Numbers: [14, 20] Generated Node #3: [14, 20] from Operation: 38-18=20 Current State: 34:[14, 20], Operations: ['54-40=14', '38-18=20'] Exploring Operation: 14+20=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 85, 44, 4, 53 ]
16
[ "85-44=41", "4+53=57", "57-41=16" ]
Current State: 16:[85, 44, 4, 53], Operations: [] Exploring Operation: 85-44=41, Resulting Numbers: [4, 53, 41] Generated Node #2: [4, 53, 41] from Operation: 85-44=41 Current State: 16:[4, 53, 41], Operations: ['85-44=41'] Exploring Operation: 4+53=57, Resulting Numbers: [41, 57] Generated Node #3: [41, 57] from Operation: 4+53=57 Current State: 16:[41, 57], Operations: ['85-44=41', '4+53=57'] Exploring Operation: 57-41=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 56, 69, 48, 91 ]
41
[ "69-56=13", "91/13=7", "48-7=41" ]
Current State: 41:[56, 69, 48, 91], Operations: [] Exploring Operation: 69-56=13, Resulting Numbers: [48, 91, 13] Generated Node #2: [48, 91, 13] from Operation: 69-56=13 Current State: 41:[48, 91, 13], Operations: ['69-56=13'] Exploring Operation: 91/13=7, Resulting Numbers: [48, 7] Generated Node #3: [48, 7] from Operation: 91/13=7 Current State: 41:[48, 7], Operations: ['69-56=13', '91/13=7'] Exploring Operation: 48-7=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 12, 56, 74, 39 ]
40
[ "56+74=130", "12*130=1560", "1560/39=40" ]
Current State: 40:[12, 56, 74, 39], Operations: [] Exploring Operation: 56+74=130, Resulting Numbers: [12, 39, 130] Generated Node #2: [12, 39, 130] from Operation: 56+74=130 Current State: 40:[12, 39, 130], Operations: ['56+74=130'] Exploring Operation: 12*130=1560, Resulting Numbers: [39, 1560] Generated Node #3: [39, 1560] from Operation: 12*130=1560 Current State: 40:[39, 1560], Operations: ['56+74=130', '12*130=1560'] Exploring Operation: 1560/39=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 4, 42, 73, 25 ]
75
[ "25-4=21", "42/21=2", "73+2=75" ]
Current State: 75:[4, 42, 73, 25], Operations: [] Exploring Operation: 25-4=21, Resulting Numbers: [42, 73, 21] Generated Node #2: [42, 73, 21] from Operation: 25-4=21 Current State: 75:[42, 73, 21], Operations: ['25-4=21'] Exploring Operation: 42/21=2, Resulting Numbers: [73, 2] Generated Node #3: [73, 2] from Operation: 42/21=2 Current State: 75:[73, 2], Operations: ['25-4=21', '42/21=2'] Exploring Operation: 73+2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 50, 57, 6, 56 ]
93
[ "56-50=6", "6*6=36", "57+36=93" ]
Current State: 93:[50, 57, 6, 56], Operations: [] Exploring Operation: 56-50=6, Resulting Numbers: [57, 6, 6] Generated Node #2: [57, 6, 6] from Operation: 56-50=6 Current State: 93:[57, 6, 6], Operations: ['56-50=6'] Exploring Operation: 6*6=36, Resulting Numbers: [57, 36] Generated Node #3: [57, 36] from Operation: 6*6=36 Current State: 93:[57, 36], Operations: ['56-50=6', '6*6=36'] Exploring Operation: 57+36=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 45, 30, 95, 10 ]
44
[ "45+95=140", "140/10=14", "30+14=44" ]
Current State: 44:[45, 30, 95, 10], Operations: [] Exploring Operation: 45+95=140, Resulting Numbers: [30, 10, 140] Generated Node #2: [30, 10, 140] from Operation: 45+95=140 Current State: 44:[30, 10, 140], Operations: ['45+95=140'] Exploring Operation: 140/10=14, Resulting Numbers: [30, 14] Generated Node #3: [30, 14] from Operation: 140/10=14 Current State: 44:[30, 14], Operations: ['45+95=140', '140/10=14'] Exploring Operation: 30+14=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 62, 66, 52, 76 ]
89
[ "66-62=4", "52/4=13", "76+13=89" ]
Current State: 89:[62, 66, 52, 76], Operations: [] Exploring Operation: 66-62=4, Resulting Numbers: [52, 76, 4] Generated Node #2: [52, 76, 4] from Operation: 66-62=4 Current State: 89:[52, 76, 4], Operations: ['66-62=4'] Exploring Operation: 52/4=13, Resulting Numbers: [76, 13] Generated Node #3: [76, 13] from Operation: 52/4=13 Current State: 89:[76, 13], Operations: ['66-62=4', '52/4=13'] Exploring Operation: 76+13=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 14, 36, 40, 34 ]
28
[ "36-14=22", "40-34=6", "22+6=28" ]
Current State: 28:[14, 36, 40, 34], Operations: [] Exploring Operation: 36-14=22, Resulting Numbers: [40, 34, 22] Generated Node #2: [40, 34, 22] from Operation: 36-14=22 Current State: 28:[40, 34, 22], Operations: ['36-14=22'] Exploring Operation: 40-34=6, Resulting Numbers: [22, 6] Generated Node #3: [22, 6] from Operation: 40-34=6 Current State: 28:[22, 6], Operations: ['36-14=22', '40-34=6'] Exploring Operation: 22+6=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 66, 54, 48, 78 ]
74
[ "66-54=12", "48/12=4", "78-4=74" ]
Current State: 74:[66, 54, 48, 78], Operations: [] Exploring Operation: 66-54=12, Resulting Numbers: [48, 78, 12] Generated Node #2: [48, 78, 12] from Operation: 66-54=12 Current State: 74:[48, 78, 12], Operations: ['66-54=12'] Exploring Operation: 48/12=4, Resulting Numbers: [78, 4] Generated Node #3: [78, 4] from Operation: 48/12=4 Current State: 74:[78, 4], Operations: ['66-54=12', '48/12=4'] Exploring Operation: 78-4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 92, 13, 84, 62 ]
42
[ "92-84=8", "13*8=104", "104-62=42" ]
Current State: 42:[92, 13, 84, 62], Operations: [] Exploring Operation: 92-84=8, Resulting Numbers: [13, 62, 8] Generated Node #2: [13, 62, 8] from Operation: 92-84=8 Current State: 42:[13, 62, 8], Operations: ['92-84=8'] Exploring Operation: 13*8=104, Resulting Numbers: [62, 104] Generated Node #3: [62, 104] from Operation: 13*8=104 Current State: 42:[62, 104], Operations: ['92-84=8', '13*8=104'] Exploring Operation: 104-62=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 27, 21, 49, 54 ]
40
[ "27-21=6", "54/6=9", "49-9=40" ]
Current State: 40:[27, 21, 49, 54], Operations: [] Exploring Operation: 27-21=6, Resulting Numbers: [49, 54, 6] Generated Node #2: [49, 54, 6] from Operation: 27-21=6 Current State: 40:[49, 54, 6], Operations: ['27-21=6'] Exploring Operation: 54/6=9, Resulting Numbers: [49, 9] Generated Node #3: [49, 9] from Operation: 54/6=9 Current State: 40:[49, 9], Operations: ['27-21=6', '54/6=9'] Exploring Operation: 49-9=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 42, 25, 75, 61 ]
57
[ "61-42=19", "75/25=3", "19*3=57" ]
Current State: 57:[42, 25, 75, 61], Operations: [] Exploring Operation: 61-42=19, Resulting Numbers: [25, 75, 19] Generated Node #2: [25, 75, 19] from Operation: 61-42=19 Current State: 57:[25, 75, 19], Operations: ['61-42=19'] Exploring Operation: 75/25=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 75/25=3 Current State: 57:[19, 3], Operations: ['61-42=19', '75/25=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 52, 75, 8, 42 ]
27
[ "75-52=23", "8+42=50", "50-23=27" ]
Current State: 27:[52, 75, 8, 42], Operations: [] Exploring Operation: 75-52=23, Resulting Numbers: [8, 42, 23] Generated Node #2: [8, 42, 23] from Operation: 75-52=23 Current State: 27:[8, 42, 23], Operations: ['75-52=23'] Exploring Operation: 8+42=50, Resulting Numbers: [23, 50] Generated Node #3: [23, 50] from Operation: 8+42=50 Current State: 27:[23, 50], Operations: ['75-52=23', '8+42=50'] Exploring Operation: 50-23=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 90, 4, 47, 86 ]
48
[ "90-4=86", "86/86=1", "47+1=48" ]
Current State: 48:[90, 4, 47, 86], Operations: [] Exploring Operation: 90-4=86, Resulting Numbers: [47, 86, 86] Generated Node #2: [47, 86, 86] from Operation: 90-4=86 Current State: 48:[47, 86, 86], Operations: ['90-4=86'] Exploring Operation: 86/86=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 86/86=1 Current State: 48:[47, 1], Operations: ['90-4=86', '86/86=1'] Exploring Operation: 47+1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 68, 21, 75, 72 ]
92
[ "68+21=89", "75-72=3", "89+3=92" ]
Current State: 92:[68, 21, 75, 72], Operations: [] Exploring Operation: 68+21=89, Resulting Numbers: [75, 72, 89] Generated Node #2: [75, 72, 89] from Operation: 68+21=89 Current State: 92:[75, 72, 89], Operations: ['68+21=89'] Exploring Operation: 75-72=3, Resulting Numbers: [89, 3] Generated Node #3: [89, 3] from Operation: 75-72=3 Current State: 92:[89, 3], Operations: ['68+21=89', '75-72=3'] Exploring Operation: 89+3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 72, 22, 2, 77 ]
74
[ "22+2=24", "72/24=3", "77-3=74" ]
Current State: 74:[72, 22, 2, 77], Operations: [] Exploring Operation: 22+2=24, Resulting Numbers: [72, 77, 24] Generated Node #2: [72, 77, 24] from Operation: 22+2=24 Current State: 74:[72, 77, 24], Operations: ['22+2=24'] Exploring Operation: 72/24=3, Resulting Numbers: [77, 3] Generated Node #3: [77, 3] from Operation: 72/24=3 Current State: 74:[77, 3], Operations: ['22+2=24', '72/24=3'] Exploring Operation: 77-3=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 88, 81, 12, 79 ]
94
[ "81-79=2", "12/2=6", "88+6=94" ]
Current State: 94:[88, 81, 12, 79], Operations: [] Exploring Operation: 81-79=2, Resulting Numbers: [88, 12, 2] Generated Node #2: [88, 12, 2] from Operation: 81-79=2 Current State: 94:[88, 12, 2], Operations: ['81-79=2'] Exploring Operation: 12/2=6, Resulting Numbers: [88, 6] Generated Node #3: [88, 6] from Operation: 12/2=6 Current State: 94:[88, 6], Operations: ['81-79=2', '12/2=6'] Exploring Operation: 88+6=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 5, 50, 80, 32 ]
30
[ "5*32=160", "50+80=130", "160-130=30" ]
Current State: 30:[5, 50, 80, 32], Operations: [] Exploring Operation: 5*32=160, Resulting Numbers: [50, 80, 160] Generated Node #2: [50, 80, 160] from Operation: 5*32=160 Current State: 30:[50, 80, 160], Operations: ['5*32=160'] Exploring Operation: 50+80=130, Resulting Numbers: [160, 130] Generated Node #3: [160, 130] from Operation: 50+80=130 Current State: 30:[160, 130], Operations: ['5*32=160', '50+80=130'] Exploring Operation: 160-130=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 83, 77, 43, 41 ]
78
[ "83-77=6", "43+41=84", "84-6=78" ]
Current State: 78:[83, 77, 43, 41], Operations: [] Exploring Operation: 83-77=6, Resulting Numbers: [43, 41, 6] Generated Node #2: [43, 41, 6] from Operation: 83-77=6 Current State: 78:[43, 41, 6], Operations: ['83-77=6'] Exploring Operation: 43+41=84, Resulting Numbers: [6, 84] Generated Node #3: [6, 84] from Operation: 43+41=84 Current State: 78:[6, 84], Operations: ['83-77=6', '43+41=84'] Exploring Operation: 84-6=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4