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
[ 54, 81, 12, 97 ]
72
[ "97-81=16", "54*16=864", "864/12=72" ]
Current State: 72:[54, 81, 12, 97], Operations: [] Exploring Operation: 97-81=16, Resulting Numbers: [54, 12, 16] Generated Node #2: [54, 12, 16] from Operation: 97-81=16 Current State: 72:[54, 12, 16], Operations: ['97-81=16'] Exploring Operation: 54*16=864, Resulting Numbers: [12, 864] Generated Node #3: [12, 864] from Operation: 54*16=864 Current State: 72:[12, 864], Operations: ['97-81=16', '54*16=864'] Exploring Operation: 864/12=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 85, 86, 80, 46 ]
34
[ "86-85=1", "80-46=34", "1*34=34" ]
Current State: 34:[85, 86, 80, 46], Operations: [] Exploring Operation: 86-85=1, Resulting Numbers: [80, 46, 1] Generated Node #2: [80, 46, 1] from Operation: 86-85=1 Current State: 34:[80, 46, 1], Operations: ['86-85=1'] Exploring Operation: 80-46=34, Resulting Numbers: [1, 34] Generated Node #3: [1, 34] from Operation: 80-46=34 Current State: 34:[1, 34], Operations: ['86-85=1', '80-46=34'] Exploring Operation: 1*34=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 69, 60, 69, 8 ]
86
[ "69-60=9", "69+8=77", "9+77=86" ]
Current State: 86:[69, 60, 69, 8], Operations: [] Exploring Operation: 69-60=9, Resulting Numbers: [8, 9] Generated Node #2: [8, 9] from Operation: 69-60=9 Current State: 86:[8, 9], Operations: ['69-60=9'] Exploring Operation: 69+8=77, Resulting Numbers: [9, 77] Generated Node #3: [9, 77] from Operation: 69+8=77 Current State: 86:[9, 77], Operations: ['69-60=9', '69+8=77'] Exploring Operation: 9+77=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 28, 32, 48, 40 ]
30
[ "48-28=20", "40/20=2", "32-2=30" ]
Current State: 30:[28, 32, 48, 40], Operations: [] Exploring Operation: 48-28=20, Resulting Numbers: [32, 40, 20] Generated Node #2: [32, 40, 20] from Operation: 48-28=20 Current State: 30:[32, 40, 20], Operations: ['48-28=20'] Exploring Operation: 40/20=2, Resulting Numbers: [32, 2] Generated Node #3: [32, 2] from Operation: 40/20=2 Current State: 30:[32, 2], Operations: ['48-28=20', '40/20=2'] Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 42, 36, 40, 48 ]
94
[ "42-36=6", "40+48=88", "6+88=94" ]
Current State: 94:[42, 36, 40, 48], Operations: [] Exploring Operation: 42-36=6, Resulting Numbers: [40, 48, 6] Generated Node #2: [40, 48, 6] from Operation: 42-36=6 Current State: 94:[40, 48, 6], Operations: ['42-36=6'] Exploring Operation: 40+48=88, Resulting Numbers: [6, 88] Generated Node #3: [6, 88] from Operation: 40+48=88 Current State: 94:[6, 88], Operations: ['42-36=6', '40+48=88'] Exploring Operation: 6+88=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 78, 48, 6, 68 ]
52
[ "78+48=126", "6+68=74", "126-74=52" ]
Current State: 52:[78, 48, 6, 68], Operations: [] Exploring Operation: 78+48=126, Resulting Numbers: [6, 68, 126] Generated Node #2: [6, 68, 126] from Operation: 78+48=126 Current State: 52:[6, 68, 126], Operations: ['78+48=126'] Exploring Operation: 6+68=74, Resulting Numbers: [126, 74] Generated Node #3: [126, 74] from Operation: 6+68=74 Current State: 52:[126, 74], Operations: ['78+48=126', '6+68=74'] Exploring Operation: 126-74=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 4, 86, 84, 29 ]
78
[ "84/4=21", "86-29=57", "21+57=78" ]
Current State: 78:[4, 86, 84, 29], Operations: [] Exploring Operation: 84/4=21, Resulting Numbers: [86, 29, 21] Generated Node #2: [86, 29, 21] from Operation: 84/4=21 Current State: 78:[86, 29, 21], Operations: ['84/4=21'] Exploring Operation: 86-29=57, Resulting Numbers: [21, 57] Generated Node #3: [21, 57] from Operation: 86-29=57 Current State: 78:[21, 57], Operations: ['84/4=21', '86-29=57'] Exploring Operation: 21+57=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 45, 4, 25, 45 ]
85
[ "45*45=2025", "2025/25=81", "4+81=85" ]
Current State: 85:[45, 4, 25, 45], Operations: [] Exploring Operation: 45*45=2025, Resulting Numbers: [4, 25, 2025] Generated Node #2: [4, 25, 2025] from Operation: 45*45=2025 Current State: 85:[4, 25, 2025], Operations: ['45*45=2025'] Exploring Operation: 2025/25=81, Resulting Numbers: [4, 81] Generated Node #3: [4, 81] from Operation: 2025/25=81 Current State: 85:[4, 81], Operations: ['45*45=2025', '2025/25=81'] Exploring Operation: 4+81=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 61, 20, 9, 67 ]
35
[ "61-20=41", "9+67=76", "76-41=35" ]
Current State: 35:[61, 20, 9, 67], Operations: [] Exploring Operation: 61-20=41, Resulting Numbers: [9, 67, 41] Generated Node #2: [9, 67, 41] from Operation: 61-20=41 Current State: 35:[9, 67, 41], Operations: ['61-20=41'] Exploring Operation: 9+67=76, Resulting Numbers: [41, 76] Generated Node #3: [41, 76] from Operation: 9+67=76 Current State: 35:[41, 76], Operations: ['61-20=41', '9+67=76'] Exploring Operation: 76-41=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 75, 70, 99, 8 ]
33
[ "75-70=5", "8-5=3", "99/3=33" ]
Current State: 33:[75, 70, 99, 8], Operations: [] Exploring Operation: 75-70=5, Resulting Numbers: [99, 8, 5] Generated Node #2: [99, 8, 5] from Operation: 75-70=5 Current State: 33:[99, 8, 5], Operations: ['75-70=5'] Exploring Operation: 8-5=3, Resulting Numbers: [99, 3] Generated Node #3: [99, 3] from Operation: 8-5=3 Current State: 33:[99, 3], Operations: ['75-70=5', '8-5=3'] Exploring Operation: 99/3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 2, 77, 71, 69 ]
67
[ "77-69=8", "8/2=4", "71-4=67" ]
Current State: 67:[2, 77, 71, 69], Operations: [] Exploring Operation: 77-69=8, Resulting Numbers: [2, 71, 8] Generated Node #2: [2, 71, 8] from Operation: 77-69=8 Current State: 67:[2, 71, 8], Operations: ['77-69=8'] Exploring Operation: 8/2=4, Resulting Numbers: [71, 4] Generated Node #3: [71, 4] from Operation: 8/2=4 Current State: 67:[71, 4], Operations: ['77-69=8', '8/2=4'] Exploring Operation: 71-4=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 36, 28, 14, 8 ]
56
[ "36-8=28", "28/14=2", "28*2=56" ]
Current State: 56:[36, 28, 14, 8], Operations: [] Exploring Operation: 36-8=28, Resulting Numbers: [28, 14, 28] Generated Node #2: [28, 14, 28] from Operation: 36-8=28 Current State: 56:[28, 14, 28], Operations: ['36-8=28'] Exploring Operation: 28/14=2, Resulting Numbers: [2] 2,56 equal: Goal Reached Exploring Operation: 28*2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 42, 6, 41, 18 ]
45
[ "42-18=24", "24/6=4", "41+4=45" ]
Current State: 45:[42, 6, 41, 18], Operations: [] Exploring Operation: 42-18=24, Resulting Numbers: [6, 41, 24] Generated Node #2: [6, 41, 24] from Operation: 42-18=24 Current State: 45:[6, 41, 24], Operations: ['42-18=24'] Exploring Operation: 24/6=4, Resulting Numbers: [41, 4] Generated Node #3: [41, 4] from Operation: 24/6=4 Current State: 45:[41, 4], Operations: ['42-18=24', '24/6=4'] Exploring Operation: 41+4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 60, 67, 33, 30 ]
56
[ "67-60=7", "33+30=63", "63-7=56" ]
Current State: 56:[60, 67, 33, 30], Operations: [] Exploring Operation: 67-60=7, Resulting Numbers: [33, 30, 7] Generated Node #2: [33, 30, 7] from Operation: 67-60=7 Current State: 56:[33, 30, 7], Operations: ['67-60=7'] Exploring Operation: 33+30=63, Resulting Numbers: [7, 63] Generated Node #3: [7, 63] from Operation: 33+30=63 Current State: 56:[7, 63], Operations: ['67-60=7', '33+30=63'] Exploring Operation: 63-7=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 74, 69, 17, 88 ]
21
[ "74-69=5", "17+88=105", "105/5=21" ]
Current State: 21:[74, 69, 17, 88], Operations: [] Exploring Operation: 74-69=5, Resulting Numbers: [17, 88, 5] Generated Node #2: [17, 88, 5] from Operation: 74-69=5 Current State: 21:[17, 88, 5], Operations: ['74-69=5'] Exploring Operation: 17+88=105, Resulting Numbers: [5, 105] Generated Node #3: [5, 105] from Operation: 17+88=105 Current State: 21:[5, 105], Operations: ['74-69=5', '17+88=105'] Exploring Operation: 105/5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 16, 38, 94, 81 ]
41
[ "16+38=54", "94-81=13", "54-13=41" ]
Current State: 41:[16, 38, 94, 81], Operations: [] Exploring Operation: 16+38=54, Resulting Numbers: [94, 81, 54] Generated Node #2: [94, 81, 54] from Operation: 16+38=54 Current State: 41:[94, 81, 54], Operations: ['16+38=54'] Exploring Operation: 94-81=13, Resulting Numbers: [54, 13] Generated Node #3: [54, 13] from Operation: 94-81=13 Current State: 41:[54, 13], Operations: ['16+38=54', '94-81=13'] Exploring Operation: 54-13=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 62, 56, 45, 93 ]
23
[ "62-56=6", "45+93=138", "138/6=23" ]
Current State: 23:[62, 56, 45, 93], Operations: [] Exploring Operation: 62-56=6, Resulting Numbers: [45, 93, 6] Generated Node #2: [45, 93, 6] from Operation: 62-56=6 Current State: 23:[45, 93, 6], Operations: ['62-56=6'] Exploring Operation: 45+93=138, Resulting Numbers: [6, 138] Generated Node #3: [6, 138] from Operation: 45+93=138 Current State: 23:[6, 138], Operations: ['62-56=6', '45+93=138'] Exploring Operation: 138/6=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 62, 48, 33, 77 ]
58
[ "62-48=14", "77-33=44", "14+44=58" ]
Current State: 58:[62, 48, 33, 77], Operations: [] Exploring Operation: 62-48=14, Resulting Numbers: [33, 77, 14] Generated Node #2: [33, 77, 14] from Operation: 62-48=14 Current State: 58:[33, 77, 14], Operations: ['62-48=14'] Exploring Operation: 77-33=44, Resulting Numbers: [14, 44] Generated Node #3: [14, 44] from Operation: 77-33=44 Current State: 58:[14, 44], Operations: ['62-48=14', '77-33=44'] Exploring Operation: 14+44=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 40, 33, 15, 28 ]
23
[ "33-28=5", "40/5=8", "15+8=23" ]
Current State: 23:[40, 33, 15, 28], Operations: [] Exploring Operation: 33-28=5, Resulting Numbers: [40, 15, 5] Generated Node #2: [40, 15, 5] from Operation: 33-28=5 Current State: 23:[40, 15, 5], Operations: ['33-28=5'] Exploring Operation: 40/5=8, Resulting Numbers: [15, 8] Generated Node #3: [15, 8] from Operation: 40/5=8 Current State: 23:[15, 8], Operations: ['33-28=5', '40/5=8'] Exploring Operation: 15+8=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 85, 62, 30, 83 ]
94
[ "85+62=147", "83-30=53", "147-53=94" ]
Current State: 94:[85, 62, 30, 83], Operations: [] Exploring Operation: 85+62=147, Resulting Numbers: [30, 83, 147] Generated Node #2: [30, 83, 147] from Operation: 85+62=147 Current State: 94:[30, 83, 147], Operations: ['85+62=147'] Exploring Operation: 83-30=53, Resulting Numbers: [147, 53] Generated Node #3: [147, 53] from Operation: 83-30=53 Current State: 94:[147, 53], Operations: ['85+62=147', '83-30=53'] Exploring Operation: 147-53=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 49, 34, 68, 32 ]
87
[ "34-32=2", "68*2=136", "136-49=87" ]
Current State: 87:[49, 34, 68, 32], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [49, 68, 2] Generated Node #2: [49, 68, 2] from Operation: 34-32=2 Current State: 87:[49, 68, 2], Operations: ['34-32=2'] Exploring Operation: 68*2=136, Resulting Numbers: [49, 136] Generated Node #3: [49, 136] from Operation: 68*2=136 Current State: 87:[49, 136], Operations: ['34-32=2', '68*2=136'] Exploring Operation: 136-49=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 72, 18, 28, 46 ]
70
[ "72/18=4", "28+46=74", "74-4=70" ]
Current State: 70:[72, 18, 28, 46], Operations: [] Exploring Operation: 72/18=4, Resulting Numbers: [28, 46, 4] Generated Node #2: [28, 46, 4] from Operation: 72/18=4 Current State: 70:[28, 46, 4], Operations: ['72/18=4'] Exploring Operation: 28+46=74, Resulting Numbers: [4, 74] Generated Node #3: [4, 74] from Operation: 28+46=74 Current State: 70:[4, 74], Operations: ['72/18=4', '28+46=74'] Exploring Operation: 74-4=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 38, 88, 17, 68 ]
16
[ "88*17=1496", "1496/68=22", "38-22=16" ]
Current State: 16:[38, 88, 17, 68], Operations: [] Exploring Operation: 88*17=1496, Resulting Numbers: [38, 68, 1496] Generated Node #2: [38, 68, 1496] from Operation: 88*17=1496 Current State: 16:[38, 68, 1496], Operations: ['88*17=1496'] Exploring Operation: 1496/68=22, Resulting Numbers: [38, 22] Generated Node #3: [38, 22] from Operation: 1496/68=22 Current State: 16:[38, 22], Operations: ['88*17=1496', '1496/68=22'] Exploring Operation: 38-22=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 29, 5, 65, 18 ]
71
[ "29-5=24", "65-18=47", "24+47=71" ]
Current State: 71:[29, 5, 65, 18], Operations: [] Exploring Operation: 29-5=24, Resulting Numbers: [65, 18, 24] Generated Node #2: [65, 18, 24] from Operation: 29-5=24 Current State: 71:[65, 18, 24], Operations: ['29-5=24'] Exploring Operation: 65-18=47, Resulting Numbers: [24, 47] Generated Node #3: [24, 47] from Operation: 65-18=47 Current State: 71:[24, 47], Operations: ['29-5=24', '65-18=47'] Exploring Operation: 24+47=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 99, 18, 99, 80 ]
91
[ "99+99=198", "198/18=11", "80+11=91" ]
Current State: 91:[99, 18, 99, 80], Operations: [] Exploring Operation: 99+99=198, Resulting Numbers: [18, 80, 198] Generated Node #2: [18, 80, 198] from Operation: 99+99=198 Current State: 91:[18, 80, 198], Operations: ['99+99=198'] Exploring Operation: 198/18=11, Resulting Numbers: [80, 11] Generated Node #3: [80, 11] from Operation: 198/18=11 Current State: 91:[80, 11], Operations: ['99+99=198', '198/18=11'] Exploring Operation: 80+11=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 32, 10, 18, 13 ]
25
[ "32+13=45", "10*45=450", "450/18=25" ]
Current State: 25:[32, 10, 18, 13], Operations: [] Exploring Operation: 32+13=45, Resulting Numbers: [10, 18, 45] Generated Node #2: [10, 18, 45] from Operation: 32+13=45 Current State: 25:[10, 18, 45], Operations: ['32+13=45'] Exploring Operation: 10*45=450, Resulting Numbers: [18, 450] Generated Node #3: [18, 450] from Operation: 10*45=450 Current State: 25:[18, 450], Operations: ['32+13=45', '10*45=450'] Exploring Operation: 450/18=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 84, 78, 48, 81 ]
46
[ "84+78=162", "162/81=2", "48-2=46" ]
Current State: 46:[84, 78, 48, 81], Operations: [] Exploring Operation: 84+78=162, Resulting Numbers: [48, 81, 162] Generated Node #2: [48, 81, 162] from Operation: 84+78=162 Current State: 46:[48, 81, 162], Operations: ['84+78=162'] Exploring Operation: 162/81=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 162/81=2 Current State: 46:[48, 2], Operations: ['84+78=162', '162/81=2'] Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 36, 90, 29, 17 ]
42
[ "90-36=54", "29-17=12", "54-12=42" ]
Current State: 42:[36, 90, 29, 17], Operations: [] Exploring Operation: 90-36=54, Resulting Numbers: [29, 17, 54] Generated Node #2: [29, 17, 54] from Operation: 90-36=54 Current State: 42:[29, 17, 54], Operations: ['90-36=54'] Exploring Operation: 29-17=12, Resulting Numbers: [54, 12] Generated Node #3: [54, 12] from Operation: 29-17=12 Current State: 42:[54, 12], Operations: ['90-36=54', '29-17=12'] Exploring Operation: 54-12=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 1, 81, 23, 17 ]
75
[ "1*81=81", "23-17=6", "81-6=75" ]
Current State: 75:[1, 81, 23, 17], Operations: [] Exploring Operation: 1*81=81, Resulting Numbers: [23, 17, 81] Generated Node #2: [23, 17, 81] from Operation: 1*81=81 Current State: 75:[23, 17, 81], Operations: ['1*81=81'] Exploring Operation: 23-17=6, Resulting Numbers: [81, 6] Generated Node #3: [81, 6] from Operation: 23-17=6 Current State: 75:[81, 6], Operations: ['1*81=81', '23-17=6'] Exploring Operation: 81-6=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 23, 69, 87, 31 ]
59
[ "69/23=3", "87-31=56", "3+56=59" ]
Current State: 59:[23, 69, 87, 31], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [87, 31, 3] Generated Node #2: [87, 31, 3] from Operation: 69/23=3 Current State: 59:[87, 31, 3], Operations: ['69/23=3'] Exploring Operation: 87-31=56, Resulting Numbers: [3, 56] Generated Node #3: [3, 56] from Operation: 87-31=56 Current State: 59:[3, 56], Operations: ['69/23=3', '87-31=56'] Exploring Operation: 3+56=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 54, 32, 2, 18 ]
58
[ "54-32=22", "2*18=36", "22+36=58" ]
Current State: 58:[54, 32, 2, 18], Operations: [] Exploring Operation: 54-32=22, Resulting Numbers: [2, 18, 22] Generated Node #2: [2, 18, 22] from Operation: 54-32=22 Current State: 58:[2, 18, 22], Operations: ['54-32=22'] Exploring Operation: 2*18=36, Resulting Numbers: [22, 36] Generated Node #3: [22, 36] from Operation: 2*18=36 Current State: 58:[22, 36], Operations: ['54-32=22', '2*18=36'] Exploring Operation: 22+36=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 74, 79, 3, 66 ]
27
[ "79-74=5", "66/3=22", "5+22=27" ]
Current State: 27:[74, 79, 3, 66], Operations: [] Exploring Operation: 79-74=5, Resulting Numbers: [3, 66, 5] Generated Node #2: [3, 66, 5] from Operation: 79-74=5 Current State: 27:[3, 66, 5], Operations: ['79-74=5'] Exploring Operation: 66/3=22, Resulting Numbers: [5, 22] Generated Node #3: [5, 22] from Operation: 66/3=22 Current State: 27:[5, 22], Operations: ['79-74=5', '66/3=22'] Exploring Operation: 5+22=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 8, 18, 16, 13 ]
32
[ "8+18=26", "16*26=416", "416/13=32" ]
Current State: 32:[8, 18, 16, 13], Operations: [] Exploring Operation: 8+18=26, Resulting Numbers: [16, 13, 26] Generated Node #2: [16, 13, 26] from Operation: 8+18=26 Current State: 32:[16, 13, 26], Operations: ['8+18=26'] Exploring Operation: 16*26=416, Resulting Numbers: [13, 416] Generated Node #3: [13, 416] from Operation: 16*26=416 Current State: 32:[13, 416], Operations: ['8+18=26', '16*26=416'] Exploring Operation: 416/13=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 87, 84, 23, 27 ]
47
[ "87-84=3", "23+27=50", "50-3=47" ]
Current State: 47:[87, 84, 23, 27], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [23, 27, 3] Generated Node #2: [23, 27, 3] from Operation: 87-84=3 Current State: 47:[23, 27, 3], Operations: ['87-84=3'] Exploring Operation: 23+27=50, Resulting Numbers: [3, 50] Generated Node #3: [3, 50] from Operation: 23+27=50 Current State: 47:[3, 50], Operations: ['87-84=3', '23+27=50'] Exploring Operation: 50-3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 28, 18, 99, 14 ]
41
[ "28-18=10", "14*10=140", "140-99=41" ]
Current State: 41:[28, 18, 99, 14], Operations: [] Exploring Operation: 28-18=10, Resulting Numbers: [99, 14, 10] Generated Node #2: [99, 14, 10] from Operation: 28-18=10 Current State: 41:[99, 14, 10], Operations: ['28-18=10'] Exploring Operation: 14*10=140, Resulting Numbers: [99, 140] Generated Node #3: [99, 140] from Operation: 14*10=140 Current State: 41:[99, 140], Operations: ['28-18=10', '14*10=140'] Exploring Operation: 140-99=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 57, 44, 16, 87 ]
35
[ "57+87=144", "144/16=9", "44-9=35" ]
Current State: 35:[57, 44, 16, 87], Operations: [] Exploring Operation: 57+87=144, Resulting Numbers: [44, 16, 144] Generated Node #2: [44, 16, 144] from Operation: 57+87=144 Current State: 35:[44, 16, 144], Operations: ['57+87=144'] Exploring Operation: 144/16=9, Resulting Numbers: [44, 9] Generated Node #3: [44, 9] from Operation: 144/16=9 Current State: 35:[44, 9], Operations: ['57+87=144', '144/16=9'] Exploring Operation: 44-9=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 56, 58, 4, 46 ]
82
[ "58+46=104", "104/4=26", "56+26=82" ]
Current State: 82:[56, 58, 4, 46], Operations: [] Exploring Operation: 58+46=104, Resulting Numbers: [56, 4, 104] Generated Node #2: [56, 4, 104] from Operation: 58+46=104 Current State: 82:[56, 4, 104], Operations: ['58+46=104'] Exploring Operation: 104/4=26, Resulting Numbers: [56, 26] Generated Node #3: [56, 26] from Operation: 104/4=26 Current State: 82:[56, 26], Operations: ['58+46=104', '104/4=26'] Exploring Operation: 56+26=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 57, 50, 95, 83 ]
53
[ "57*50=2850", "2850/95=30", "83-30=53" ]
Current State: 53:[57, 50, 95, 83], Operations: [] Exploring Operation: 57*50=2850, Resulting Numbers: [95, 83, 2850] Generated Node #2: [95, 83, 2850] from Operation: 57*50=2850 Current State: 53:[95, 83, 2850], Operations: ['57*50=2850'] Exploring Operation: 2850/95=30, Resulting Numbers: [83, 30] Generated Node #3: [83, 30] from Operation: 2850/95=30 Current State: 53:[83, 30], Operations: ['57*50=2850', '2850/95=30'] Exploring Operation: 83-30=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 43, 60, 5, 11 ]
42
[ "43+11=54", "60/5=12", "54-12=42" ]
Current State: 42:[43, 60, 5, 11], Operations: [] Exploring Operation: 43+11=54, Resulting Numbers: [60, 5, 54] Generated Node #2: [60, 5, 54] from Operation: 43+11=54 Current State: 42:[60, 5, 54], Operations: ['43+11=54'] Exploring Operation: 60/5=12, Resulting Numbers: [54, 12] Generated Node #3: [54, 12] from Operation: 60/5=12 Current State: 42:[54, 12], Operations: ['43+11=54', '60/5=12'] Exploring Operation: 54-12=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 2, 11, 88, 42 ]
78
[ "42/2=21", "11+88=99", "99-21=78" ]
Current State: 78:[2, 11, 88, 42], Operations: [] Exploring Operation: 42/2=21, Resulting Numbers: [11, 88, 21] Generated Node #2: [11, 88, 21] from Operation: 42/2=21 Current State: 78:[11, 88, 21], Operations: ['42/2=21'] Exploring Operation: 11+88=99, Resulting Numbers: [21, 99] Generated Node #3: [21, 99] from Operation: 11+88=99 Current State: 78:[21, 99], Operations: ['42/2=21', '11+88=99'] Exploring Operation: 99-21=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 49, 99, 98, 12 ]
85
[ "98/49=2", "99-12=87", "87-2=85" ]
Current State: 85:[49, 99, 98, 12], Operations: [] Exploring Operation: 98/49=2, Resulting Numbers: [99, 12, 2] Generated Node #2: [99, 12, 2] from Operation: 98/49=2 Current State: 85:[99, 12, 2], Operations: ['98/49=2'] Exploring Operation: 99-12=87, Resulting Numbers: [2, 87] Generated Node #3: [2, 87] from Operation: 99-12=87 Current State: 85:[2, 87], Operations: ['98/49=2', '99-12=87'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 13, 68, 66, 38 ]
64
[ "68-66=2", "13*2=26", "38+26=64" ]
Current State: 64:[13, 68, 66, 38], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [13, 38, 2] Generated Node #2: [13, 38, 2] from Operation: 68-66=2 Current State: 64:[13, 38, 2], Operations: ['68-66=2'] Exploring Operation: 13*2=26, Resulting Numbers: [38, 26] Generated Node #3: [38, 26] from Operation: 13*2=26 Current State: 64:[38, 26], Operations: ['68-66=2', '13*2=26'] Exploring Operation: 38+26=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 73, 2, 73, 72 ]
76
[ "73+2=75", "73-72=1", "75+1=76" ]
Current State: 76:[73, 2, 73, 72], Operations: [] Exploring Operation: 73+2=75, Resulting Numbers: [72, 75] Generated Node #2: [72, 75] from Operation: 73+2=75 Current State: 76:[72, 75], Operations: ['73+2=75'] Exploring Operation: 73-72=1, Resulting Numbers: [75, 1] Generated Node #3: [75, 1] from Operation: 73-72=1 Current State: 76:[75, 1], Operations: ['73+2=75', '73-72=1'] Exploring Operation: 75+1=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 3, 71, 50, 56 ]
45
[ "71-56=15", "15/3=5", "50-5=45" ]
Current State: 45:[3, 71, 50, 56], Operations: [] Exploring Operation: 71-56=15, Resulting Numbers: [3, 50, 15] Generated Node #2: [3, 50, 15] from Operation: 71-56=15 Current State: 45:[3, 50, 15], Operations: ['71-56=15'] Exploring Operation: 15/3=5, Resulting Numbers: [50, 5] Generated Node #3: [50, 5] from Operation: 15/3=5 Current State: 45:[50, 5], Operations: ['71-56=15', '15/3=5'] Exploring Operation: 50-5=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 80, 90, 49, 4 ]
89
[ "90-80=10", "4*10=40", "49+40=89" ]
Current State: 89:[80, 90, 49, 4], Operations: [] Exploring Operation: 90-80=10, Resulting Numbers: [49, 4, 10] Generated Node #2: [49, 4, 10] from Operation: 90-80=10 Current State: 89:[49, 4, 10], Operations: ['90-80=10'] Exploring Operation: 4*10=40, Resulting Numbers: [49, 40] Generated Node #3: [49, 40] from Operation: 4*10=40 Current State: 89:[49, 40], Operations: ['90-80=10', '4*10=40'] Exploring Operation: 49+40=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 37, 41, 27, 61 ]
84
[ "41-37=4", "27+61=88", "88-4=84" ]
Current State: 84:[37, 41, 27, 61], Operations: [] Exploring Operation: 41-37=4, Resulting Numbers: [27, 61, 4] Generated Node #2: [27, 61, 4] from Operation: 41-37=4 Current State: 84:[27, 61, 4], Operations: ['41-37=4'] Exploring Operation: 27+61=88, Resulting Numbers: [4, 88] Generated Node #3: [4, 88] from Operation: 27+61=88 Current State: 84:[4, 88], Operations: ['41-37=4', '27+61=88'] Exploring Operation: 88-4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 62, 33, 45, 27 ]
47
[ "62-33=29", "45-27=18", "29+18=47" ]
Current State: 47:[62, 33, 45, 27], Operations: [] Exploring Operation: 62-33=29, Resulting Numbers: [45, 27, 29] Generated Node #2: [45, 27, 29] from Operation: 62-33=29 Current State: 47:[45, 27, 29], Operations: ['62-33=29'] Exploring Operation: 45-27=18, Resulting Numbers: [29, 18] Generated Node #3: [29, 18] from Operation: 45-27=18 Current State: 47:[29, 18], Operations: ['62-33=29', '45-27=18'] Exploring Operation: 29+18=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 24, 64, 79, 57 ]
66
[ "24+64=88", "79-57=22", "88-22=66" ]
Current State: 66:[24, 64, 79, 57], Operations: [] Exploring Operation: 24+64=88, Resulting Numbers: [79, 57, 88] Generated Node #2: [79, 57, 88] from Operation: 24+64=88 Current State: 66:[79, 57, 88], Operations: ['24+64=88'] Exploring Operation: 79-57=22, Resulting Numbers: [88, 22] Generated Node #3: [88, 22] from Operation: 79-57=22 Current State: 66:[88, 22], Operations: ['24+64=88', '79-57=22'] Exploring Operation: 88-22=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 99, 23, 36, 4 ]
47
[ "36-23=13", "4*13=52", "99-52=47" ]
Current State: 47:[99, 23, 36, 4], Operations: [] Exploring Operation: 36-23=13, Resulting Numbers: [99, 4, 13] Generated Node #2: [99, 4, 13] from Operation: 36-23=13 Current State: 47:[99, 4, 13], Operations: ['36-23=13'] Exploring Operation: 4*13=52, Resulting Numbers: [99, 52] Generated Node #3: [99, 52] from Operation: 4*13=52 Current State: 47:[99, 52], Operations: ['36-23=13', '4*13=52'] Exploring Operation: 99-52=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 43, 41, 14, 25 ]
78
[ "43-41=2", "14+25=39", "2*39=78" ]
Current State: 78:[43, 41, 14, 25], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [14, 25, 2] Generated Node #2: [14, 25, 2] from Operation: 43-41=2 Current State: 78:[14, 25, 2], Operations: ['43-41=2'] Exploring Operation: 14+25=39, Resulting Numbers: [2, 39] Generated Node #3: [2, 39] from Operation: 14+25=39 Current State: 78:[2, 39], Operations: ['43-41=2', '14+25=39'] Exploring Operation: 2*39=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 21, 5, 35, 31 ]
70
[ "31-21=10", "35/5=7", "10*7=70" ]
Current State: 70:[21, 5, 35, 31], Operations: [] Exploring Operation: 31-21=10, Resulting Numbers: [5, 35, 10] Generated Node #2: [5, 35, 10] from Operation: 31-21=10 Current State: 70:[5, 35, 10], Operations: ['31-21=10'] Exploring Operation: 35/5=7, Resulting Numbers: [10, 7] Generated Node #3: [10, 7] from Operation: 35/5=7 Current State: 70:[10, 7], Operations: ['31-21=10', '35/5=7'] Exploring Operation: 10*7=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 29, 50, 95, 42 ]
47
[ "50+95=145", "145/29=5", "42+5=47" ]
Current State: 47:[29, 50, 95, 42], Operations: [] Exploring Operation: 50+95=145, Resulting Numbers: [29, 42, 145] Generated Node #2: [29, 42, 145] from Operation: 50+95=145 Current State: 47:[29, 42, 145], Operations: ['50+95=145'] Exploring Operation: 145/29=5, Resulting Numbers: [42, 5] Generated Node #3: [42, 5] from Operation: 145/29=5 Current State: 47:[42, 5], Operations: ['50+95=145', '145/29=5'] Exploring Operation: 42+5=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 52, 4, 77, 76 ]
56
[ "52+4=56", "77-76=1", "56*1=56" ]
Current State: 56:[52, 4, 77, 76], Operations: [] Exploring Operation: 52+4=56, Resulting Numbers: [77, 76, 56] Generated Node #2: [77, 76, 56] from Operation: 52+4=56 Current State: 56:[77, 76, 56], Operations: ['52+4=56'] Exploring Operation: 77-76=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 77-76=1 Current State: 56:[56, 1], Operations: ['52+4=56', '77-76=1'] Exploring Operation: 56*1=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 4, 96, 70, 84 ]
67
[ "96-84=12", "12/4=3", "70-3=67" ]
Current State: 67:[4, 96, 70, 84], Operations: [] Exploring Operation: 96-84=12, Resulting Numbers: [4, 70, 12] Generated Node #2: [4, 70, 12] from Operation: 96-84=12 Current State: 67:[4, 70, 12], Operations: ['96-84=12'] Exploring Operation: 12/4=3, Resulting Numbers: [70, 3] Generated Node #3: [70, 3] from Operation: 12/4=3 Current State: 67:[70, 3], Operations: ['96-84=12', '12/4=3'] Exploring Operation: 70-3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 55, 91, 92, 81 ]
27
[ "55+91=146", "92+81=173", "173-146=27" ]
Current State: 27:[55, 91, 92, 81], Operations: [] Exploring Operation: 55+91=146, Resulting Numbers: [92, 81, 146] Generated Node #2: [92, 81, 146] from Operation: 55+91=146 Current State: 27:[92, 81, 146], Operations: ['55+91=146'] Exploring Operation: 92+81=173, Resulting Numbers: [146, 173] Generated Node #3: [146, 173] from Operation: 92+81=173 Current State: 27:[146, 173], Operations: ['55+91=146', '92+81=173'] Exploring Operation: 173-146=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 2, 4, 73, 13 ]
91
[ "13-4=9", "2*9=18", "73+18=91" ]
Current State: 91:[2, 4, 73, 13], Operations: [] Exploring Operation: 13-4=9, Resulting Numbers: [2, 73, 9] Generated Node #2: [2, 73, 9] from Operation: 13-4=9 Current State: 91:[2, 73, 9], Operations: ['13-4=9'] Exploring Operation: 2*9=18, Resulting Numbers: [73, 18] Generated Node #3: [73, 18] from Operation: 2*9=18 Current State: 91:[73, 18], Operations: ['13-4=9', '2*9=18'] Exploring Operation: 73+18=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 7, 50, 17, 4 ]
46
[ "7+17=24", "4*24=96", "96-50=46" ]
Current State: 46:[7, 50, 17, 4], Operations: [] Exploring Operation: 7+17=24, Resulting Numbers: [50, 4, 24] Generated Node #2: [50, 4, 24] from Operation: 7+17=24 Current State: 46:[50, 4, 24], Operations: ['7+17=24'] Exploring Operation: 4*24=96, Resulting Numbers: [50, 96] Generated Node #3: [50, 96] from Operation: 4*24=96 Current State: 46:[50, 96], Operations: ['7+17=24', '4*24=96'] Exploring Operation: 96-50=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 99, 30, 78, 11 ]
12
[ "99/11=9", "30+78=108", "108/9=12" ]
Current State: 12:[99, 30, 78, 11], Operations: [] Exploring Operation: 99/11=9, Resulting Numbers: [30, 78, 9] Generated Node #2: [30, 78, 9] from Operation: 99/11=9 Current State: 12:[30, 78, 9], Operations: ['99/11=9'] Exploring Operation: 30+78=108, Resulting Numbers: [9, 108] Generated Node #3: [9, 108] from Operation: 30+78=108 Current State: 12:[9, 108], Operations: ['99/11=9', '30+78=108'] Exploring Operation: 108/9=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 90, 86, 84, 80 ]
69
[ "86-80=6", "90/6=15", "84-15=69" ]
Current State: 69:[90, 86, 84, 80], Operations: [] Exploring Operation: 86-80=6, Resulting Numbers: [90, 84, 6] Generated Node #2: [90, 84, 6] from Operation: 86-80=6 Current State: 69:[90, 84, 6], Operations: ['86-80=6'] Exploring Operation: 90/6=15, Resulting Numbers: [84, 15] Generated Node #3: [84, 15] from Operation: 90/6=15 Current State: 69:[84, 15], Operations: ['86-80=6', '90/6=15'] Exploring Operation: 84-15=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 57, 77, 43, 86 ]
18
[ "77-57=20", "86/43=2", "20-2=18" ]
Current State: 18:[57, 77, 43, 86], Operations: [] Exploring Operation: 77-57=20, Resulting Numbers: [43, 86, 20] Generated Node #2: [43, 86, 20] from Operation: 77-57=20 Current State: 18:[43, 86, 20], Operations: ['77-57=20'] Exploring Operation: 86/43=2, Resulting Numbers: [20, 2] Generated Node #3: [20, 2] from Operation: 86/43=2 Current State: 18:[20, 2], Operations: ['77-57=20', '86/43=2'] Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 29, 58, 6, 42 ]
90
[ "58/29=2", "42*2=84", "6+84=90" ]
Current State: 90:[29, 58, 6, 42], Operations: [] Exploring Operation: 58/29=2, Resulting Numbers: [6, 42, 2] Generated Node #2: [6, 42, 2] from Operation: 58/29=2 Current State: 90:[6, 42, 2], Operations: ['58/29=2'] Exploring Operation: 42*2=84, Resulting Numbers: [6, 84] Generated Node #3: [6, 84] from Operation: 42*2=84 Current State: 90:[6, 84], Operations: ['58/29=2', '42*2=84'] Exploring Operation: 6+84=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 90, 87, 94, 5 ]
78
[ "90+87=177", "94+5=99", "177-99=78" ]
Current State: 78:[90, 87, 94, 5], Operations: [] Exploring Operation: 90+87=177, Resulting Numbers: [94, 5, 177] Generated Node #2: [94, 5, 177] from Operation: 90+87=177 Current State: 78:[94, 5, 177], Operations: ['90+87=177'] Exploring Operation: 94+5=99, Resulting Numbers: [177, 99] Generated Node #3: [177, 99] from Operation: 94+5=99 Current State: 78:[177, 99], Operations: ['90+87=177', '94+5=99'] Exploring Operation: 177-99=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 8, 95, 36, 90 ]
46
[ "95*36=3420", "3420/90=38", "8+38=46" ]
Current State: 46:[8, 95, 36, 90], Operations: [] Exploring Operation: 95*36=3420, Resulting Numbers: [8, 90, 3420] Generated Node #2: [8, 90, 3420] from Operation: 95*36=3420 Current State: 46:[8, 90, 3420], Operations: ['95*36=3420'] Exploring Operation: 3420/90=38, Resulting Numbers: [8, 38] Generated Node #3: [8, 38] from Operation: 3420/90=38 Current State: 46:[8, 38], Operations: ['95*36=3420', '3420/90=38'] Exploring Operation: 8+38=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 97, 91, 39, 59 ]
90
[ "97+91=188", "39+59=98", "188-98=90" ]
Current State: 90:[97, 91, 39, 59], Operations: [] Exploring Operation: 97+91=188, Resulting Numbers: [39, 59, 188] Generated Node #2: [39, 59, 188] from Operation: 97+91=188 Current State: 90:[39, 59, 188], Operations: ['97+91=188'] Exploring Operation: 39+59=98, Resulting Numbers: [188, 98] Generated Node #3: [188, 98] from Operation: 39+59=98 Current State: 90:[188, 98], Operations: ['97+91=188', '39+59=98'] Exploring Operation: 188-98=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 59, 99, 29, 95 ]
34
[ "59+99=158", "29+95=124", "158-124=34" ]
Current State: 34:[59, 99, 29, 95], Operations: [] Exploring Operation: 59+99=158, Resulting Numbers: [29, 95, 158] Generated Node #2: [29, 95, 158] from Operation: 59+99=158 Current State: 34:[29, 95, 158], Operations: ['59+99=158'] Exploring Operation: 29+95=124, Resulting Numbers: [158, 124] Generated Node #3: [158, 124] from Operation: 29+95=124 Current State: 34:[158, 124], Operations: ['59+99=158', '29+95=124'] Exploring Operation: 158-124=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 94, 94, 8, 14 ]
23
[ "94/94=1", "8+14=22", "1+22=23" ]
Current State: 23:[94, 94, 8, 14], Operations: [] Exploring Operation: 94/94=1, Resulting Numbers: [8, 14, 1] Generated Node #2: [8, 14, 1] from Operation: 94/94=1 Current State: 23:[8, 14, 1], Operations: ['94/94=1'] Exploring Operation: 8+14=22, Resulting Numbers: [1, 22] Generated Node #3: [1, 22] from Operation: 8+14=22 Current State: 23:[1, 22], Operations: ['94/94=1', '8+14=22'] Exploring Operation: 1+22=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 69, 94, 52, 51 ]
97
[ "69-52=17", "51/17=3", "94+3=97" ]
Current State: 97:[69, 94, 52, 51], Operations: [] Exploring Operation: 69-52=17, Resulting Numbers: [94, 51, 17] Generated Node #2: [94, 51, 17] from Operation: 69-52=17 Current State: 97:[94, 51, 17], Operations: ['69-52=17'] Exploring Operation: 51/17=3, Resulting Numbers: [94, 3] Generated Node #3: [94, 3] from Operation: 51/17=3 Current State: 97:[94, 3], Operations: ['69-52=17', '51/17=3'] Exploring Operation: 94+3=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 82, 9, 37, 93 ]
98
[ "82-37=45", "45/9=5", "93+5=98" ]
Current State: 98:[82, 9, 37, 93], Operations: [] Exploring Operation: 82-37=45, Resulting Numbers: [9, 93, 45] Generated Node #2: [9, 93, 45] from Operation: 82-37=45 Current State: 98:[9, 93, 45], Operations: ['82-37=45'] Exploring Operation: 45/9=5, Resulting Numbers: [93, 5] Generated Node #3: [93, 5] from Operation: 45/9=5 Current State: 98:[93, 5], Operations: ['82-37=45', '45/9=5'] Exploring Operation: 93+5=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 50, 81, 59, 8 ]
80
[ "50+81=131", "59-8=51", "131-51=80" ]
Current State: 80:[50, 81, 59, 8], Operations: [] Exploring Operation: 50+81=131, Resulting Numbers: [59, 8, 131] Generated Node #2: [59, 8, 131] from Operation: 50+81=131 Current State: 80:[59, 8, 131], Operations: ['50+81=131'] Exploring Operation: 59-8=51, Resulting Numbers: [131, 51] Generated Node #3: [131, 51] from Operation: 59-8=51 Current State: 80:[131, 51], Operations: ['50+81=131', '59-8=51'] Exploring Operation: 131-51=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 48, 9, 57, 44 ]
45
[ "48+9=57", "57/57=1", "44+1=45" ]
Current State: 45:[48, 9, 57, 44], Operations: [] Exploring Operation: 48+9=57, Resulting Numbers: [57, 44, 57] Generated Node #2: [57, 44, 57] from Operation: 48+9=57 Current State: 45:[57, 44, 57], Operations: ['48+9=57'] Exploring Operation: 57/57=1, Resulting Numbers: [44, 1] Generated Node #3: [44, 1] from Operation: 57/57=1 Current State: 45:[44, 1], Operations: ['48+9=57', '57/57=1'] Exploring Operation: 44+1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 26, 2, 2, 17 ]
14
[ "26-2=24", "24-17=7", "2*7=14" ]
Current State: 14:[26, 2, 2, 17], Operations: [] Exploring Operation: 26-2=24, Resulting Numbers: [17, 24] Generated Node #2: [17, 24] from Operation: 26-2=24 Current State: 14:[17, 24], Operations: ['26-2=24'] Exploring Operation: 24-17=7, Resulting Numbers: [7] 7,14 equal: Goal Reached Exploring Operation: 2*7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 84, 13, 48, 3 ]
63
[ "84/3=28", "48-13=35", "28+35=63" ]
Current State: 63:[84, 13, 48, 3], Operations: [] Exploring Operation: 84/3=28, Resulting Numbers: [13, 48, 28] Generated Node #2: [13, 48, 28] from Operation: 84/3=28 Current State: 63:[13, 48, 28], Operations: ['84/3=28'] Exploring Operation: 48-13=35, Resulting Numbers: [28, 35] Generated Node #3: [28, 35] from Operation: 48-13=35 Current State: 63:[28, 35], Operations: ['84/3=28', '48-13=35'] Exploring Operation: 28+35=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 53, 30, 59, 54 ]
88
[ "53+30=83", "59-54=5", "83+5=88" ]
Current State: 88:[53, 30, 59, 54], Operations: [] Exploring Operation: 53+30=83, Resulting Numbers: [59, 54, 83] Generated Node #2: [59, 54, 83] from Operation: 53+30=83 Current State: 88:[59, 54, 83], Operations: ['53+30=83'] Exploring Operation: 59-54=5, Resulting Numbers: [83, 5] Generated Node #3: [83, 5] from Operation: 59-54=5 Current State: 88:[83, 5], Operations: ['53+30=83', '59-54=5'] Exploring Operation: 83+5=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 48, 6, 56, 70 ]
77
[ "48/6=8", "56/8=7", "70+7=77" ]
Current State: 77:[48, 6, 56, 70], Operations: [] Exploring Operation: 48/6=8, Resulting Numbers: [56, 70, 8] Generated Node #2: [56, 70, 8] from Operation: 48/6=8 Current State: 77:[56, 70, 8], Operations: ['48/6=8'] Exploring Operation: 56/8=7, Resulting Numbers: [70, 7] Generated Node #3: [70, 7] from Operation: 56/8=7 Current State: 77:[70, 7], Operations: ['48/6=8', '56/8=7'] Exploring Operation: 70+7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 6, 12, 20, 68 ]
14
[ "12/6=2", "68/2=34", "34-20=14" ]
Current State: 14:[6, 12, 20, 68], Operations: [] Exploring Operation: 12/6=2, Resulting Numbers: [20, 68, 2] Generated Node #2: [20, 68, 2] from Operation: 12/6=2 Current State: 14:[20, 68, 2], Operations: ['12/6=2'] Exploring Operation: 68/2=34, Resulting Numbers: [20, 34] Generated Node #3: [20, 34] from Operation: 68/2=34 Current State: 14:[20, 34], Operations: ['12/6=2', '68/2=34'] Exploring Operation: 34-20=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 2, 11, 57, 75 ]
89
[ "75-11=64", "64/2=32", "57+32=89" ]
Current State: 89:[2, 11, 57, 75], Operations: [] Exploring Operation: 75-11=64, Resulting Numbers: [2, 57, 64] Generated Node #2: [2, 57, 64] from Operation: 75-11=64 Current State: 89:[2, 57, 64], Operations: ['75-11=64'] Exploring Operation: 64/2=32, Resulting Numbers: [57, 32] Generated Node #3: [57, 32] from Operation: 64/2=32 Current State: 89:[57, 32], Operations: ['75-11=64', '64/2=32'] Exploring Operation: 57+32=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 66, 13, 68, 91 ]
14
[ "68-66=2", "91/13=7", "2*7=14" ]
Current State: 14:[66, 13, 68, 91], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [13, 91, 2] Generated Node #2: [13, 91, 2] from Operation: 68-66=2 Current State: 14:[13, 91, 2], Operations: ['68-66=2'] Exploring Operation: 91/13=7, Resulting Numbers: [2, 7] Generated Node #3: [2, 7] from Operation: 91/13=7 Current State: 14:[2, 7], Operations: ['68-66=2', '91/13=7'] Exploring Operation: 2*7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 22, 63, 62, 23 ]
40
[ "22*63=1386", "62*23=1426", "1426-1386=40" ]
Current State: 40:[22, 63, 62, 23], Operations: [] Exploring Operation: 22*63=1386, Resulting Numbers: [62, 23, 1386] Generated Node #2: [62, 23, 1386] from Operation: 22*63=1386 Current State: 40:[62, 23, 1386], Operations: ['22*63=1386'] Exploring Operation: 62*23=1426, Resulting Numbers: [1386, 1426] Generated Node #3: [1386, 1426] from Operation: 62*23=1426 Current State: 40:[1386, 1426], Operations: ['22*63=1386', '62*23=1426'] Exploring Operation: 1426-1386=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 61, 16, 35, 2 ]
55
[ "61-16=45", "2*45=90", "90-35=55" ]
Current State: 55:[61, 16, 35, 2], Operations: [] Exploring Operation: 61-16=45, Resulting Numbers: [35, 2, 45] Generated Node #2: [35, 2, 45] from Operation: 61-16=45 Current State: 55:[35, 2, 45], Operations: ['61-16=45'] Exploring Operation: 2*45=90, Resulting Numbers: [35, 90] Generated Node #3: [35, 90] from Operation: 2*45=90 Current State: 55:[35, 90], Operations: ['61-16=45', '2*45=90'] Exploring Operation: 90-35=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 82, 44, 74, 60 ]
72
[ "82-60=22", "44/22=2", "74-2=72" ]
Current State: 72:[82, 44, 74, 60], Operations: [] Exploring Operation: 82-60=22, Resulting Numbers: [44, 74, 22] Generated Node #2: [44, 74, 22] from Operation: 82-60=22 Current State: 72:[44, 74, 22], Operations: ['82-60=22'] Exploring Operation: 44/22=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 44/22=2 Current State: 72:[74, 2], Operations: ['82-60=22', '44/22=2'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 35, 71, 14, 60 ]
60
[ "35+71=106", "60-14=46", "106-46=60" ]
Current State: 60:[35, 71, 14, 60], Operations: [] Exploring Operation: 35+71=106, Resulting Numbers: [14, 60, 106] Generated Node #2: [14, 60, 106] from Operation: 35+71=106 Current State: 60:[14, 60, 106], Operations: ['35+71=106'] Exploring Operation: 60-14=46, Resulting Numbers: [106, 46] Generated Node #3: [106, 46] from Operation: 60-14=46 Current State: 60:[106, 46], Operations: ['35+71=106', '60-14=46'] Exploring Operation: 106-46=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 18, 38, 52, 7 ]
80
[ "52-38=14", "7*14=98", "98-18=80" ]
Current State: 80:[18, 38, 52, 7], Operations: [] Exploring Operation: 52-38=14, Resulting Numbers: [18, 7, 14] Generated Node #2: [18, 7, 14] from Operation: 52-38=14 Current State: 80:[18, 7, 14], Operations: ['52-38=14'] Exploring Operation: 7*14=98, Resulting Numbers: [18, 98] Generated Node #3: [18, 98] from Operation: 7*14=98 Current State: 80:[18, 98], Operations: ['52-38=14', '7*14=98'] Exploring Operation: 98-18=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 6, 74, 8, 76 ]
50
[ "6*8=48", "76-74=2", "48+2=50" ]
Current State: 50:[6, 74, 8, 76], Operations: [] Exploring Operation: 6*8=48, Resulting Numbers: [74, 76, 48] Generated Node #2: [74, 76, 48] from Operation: 6*8=48 Current State: 50:[74, 76, 48], Operations: ['6*8=48'] Exploring Operation: 76-74=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 76-74=2 Current State: 50:[48, 2], Operations: ['6*8=48', '76-74=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 43, 32, 66, 96 ]
63
[ "43*96=4128", "4128/32=129", "129-66=63" ]
Current State: 63:[43, 32, 66, 96], Operations: [] Exploring Operation: 43*96=4128, Resulting Numbers: [32, 66, 4128] Generated Node #2: [32, 66, 4128] from Operation: 43*96=4128 Current State: 63:[32, 66, 4128], Operations: ['43*96=4128'] Exploring Operation: 4128/32=129, Resulting Numbers: [66, 129] Generated Node #3: [66, 129] from Operation: 4128/32=129 Current State: 63:[66, 129], Operations: ['43*96=4128', '4128/32=129'] Exploring Operation: 129-66=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 83, 61, 44, 28 ]
94
[ "83-61=22", "44+28=72", "22+72=94" ]
Current State: 94:[83, 61, 44, 28], Operations: [] Exploring Operation: 83-61=22, Resulting Numbers: [44, 28, 22] Generated Node #2: [44, 28, 22] from Operation: 83-61=22 Current State: 94:[44, 28, 22], Operations: ['83-61=22'] Exploring Operation: 44+28=72, Resulting Numbers: [22, 72] Generated Node #3: [22, 72] from Operation: 44+28=72 Current State: 94:[22, 72], Operations: ['83-61=22', '44+28=72'] Exploring Operation: 22+72=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 40, 1, 20, 16 ]
43
[ "40-1=39", "20-16=4", "39+4=43" ]
Current State: 43:[40, 1, 20, 16], Operations: [] Exploring Operation: 40-1=39, Resulting Numbers: [20, 16, 39] Generated Node #2: [20, 16, 39] from Operation: 40-1=39 Current State: 43:[20, 16, 39], Operations: ['40-1=39'] Exploring Operation: 20-16=4, Resulting Numbers: [39, 4] Generated Node #3: [39, 4] from Operation: 20-16=4 Current State: 43:[39, 4], Operations: ['40-1=39', '20-16=4'] Exploring Operation: 39+4=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 24, 98, 51, 2 ]
96
[ "51*2=102", "102-98=4", "24*4=96" ]
Current State: 96:[24, 98, 51, 2], Operations: [] Exploring Operation: 51*2=102, Resulting Numbers: [24, 98, 102] Generated Node #2: [24, 98, 102] from Operation: 51*2=102 Current State: 96:[24, 98, 102], Operations: ['51*2=102'] Exploring Operation: 102-98=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 102-98=4 Current State: 96:[24, 4], Operations: ['51*2=102', '102-98=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 2, 14, 98, 14 ]
95
[ "98-2=96", "14/14=1", "96-1=95" ]
Current State: 95:[2, 14, 98, 14], Operations: [] Exploring Operation: 98-2=96, Resulting Numbers: [14, 14, 96] Generated Node #2: [14, 14, 96] from Operation: 98-2=96 Current State: 95:[14, 14, 96], Operations: ['98-2=96'] Exploring Operation: 14/14=1, Resulting Numbers: [96, 1] Generated Node #3: [96, 1] from Operation: 14/14=1 Current State: 95:[96, 1], Operations: ['98-2=96', '14/14=1'] Exploring Operation: 96-1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 84, 61, 49, 23 ]
30
[ "61-49=12", "84/12=7", "23+7=30" ]
Current State: 30:[84, 61, 49, 23], Operations: [] Exploring Operation: 61-49=12, Resulting Numbers: [84, 23, 12] Generated Node #2: [84, 23, 12] from Operation: 61-49=12 Current State: 30:[84, 23, 12], Operations: ['61-49=12'] Exploring Operation: 84/12=7, Resulting Numbers: [23, 7] Generated Node #3: [23, 7] from Operation: 84/12=7 Current State: 30:[23, 7], Operations: ['61-49=12', '84/12=7'] Exploring Operation: 23+7=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 1, 98, 56, 87 ]
67
[ "1*98=98", "87-56=31", "98-31=67" ]
Current State: 67:[1, 98, 56, 87], Operations: [] Exploring Operation: 1*98=98, Resulting Numbers: [56, 87, 98] Generated Node #2: [56, 87, 98] from Operation: 1*98=98 Current State: 67:[56, 87, 98], Operations: ['1*98=98'] Exploring Operation: 87-56=31, Resulting Numbers: [98, 31] Generated Node #3: [98, 31] from Operation: 87-56=31 Current State: 67:[98, 31], Operations: ['1*98=98', '87-56=31'] Exploring Operation: 98-31=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 33, 53, 7, 28 ]
41
[ "53-33=20", "28-7=21", "20+21=41" ]
Current State: 41:[33, 53, 7, 28], Operations: [] Exploring Operation: 53-33=20, Resulting Numbers: [7, 28, 20] Generated Node #2: [7, 28, 20] from Operation: 53-33=20 Current State: 41:[7, 28, 20], Operations: ['53-33=20'] Exploring Operation: 28-7=21, Resulting Numbers: [20, 21] Generated Node #3: [20, 21] from Operation: 28-7=21 Current State: 41:[20, 21], Operations: ['53-33=20', '28-7=21'] Exploring Operation: 20+21=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 38, 4, 18, 26 ]
70
[ "26-18=8", "4*8=32", "38+32=70" ]
Current State: 70:[38, 4, 18, 26], Operations: [] Exploring Operation: 26-18=8, Resulting Numbers: [38, 4, 8] Generated Node #2: [38, 4, 8] from Operation: 26-18=8 Current State: 70:[38, 4, 8], Operations: ['26-18=8'] Exploring Operation: 4*8=32, Resulting Numbers: [38, 32] Generated Node #3: [38, 32] from Operation: 4*8=32 Current State: 70:[38, 32], Operations: ['26-18=8', '4*8=32'] Exploring Operation: 38+32=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 40, 76, 57, 77 ]
96
[ "40+76=116", "77-57=20", "116-20=96" ]
Current State: 96:[40, 76, 57, 77], Operations: [] Exploring Operation: 40+76=116, Resulting Numbers: [57, 77, 116] Generated Node #2: [57, 77, 116] from Operation: 40+76=116 Current State: 96:[57, 77, 116], Operations: ['40+76=116'] Exploring Operation: 77-57=20, Resulting Numbers: [116, 20] Generated Node #3: [116, 20] from Operation: 77-57=20 Current State: 96:[116, 20], Operations: ['40+76=116', '77-57=20'] Exploring Operation: 116-20=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 8, 73, 45, 93 ]
17
[ "73-8=65", "93-45=48", "65-48=17" ]
Current State: 17:[8, 73, 45, 93], Operations: [] Exploring Operation: 73-8=65, Resulting Numbers: [45, 93, 65] Generated Node #2: [45, 93, 65] from Operation: 73-8=65 Current State: 17:[45, 93, 65], Operations: ['73-8=65'] Exploring Operation: 93-45=48, Resulting Numbers: [65, 48] Generated Node #3: [65, 48] from Operation: 93-45=48 Current State: 17:[65, 48], Operations: ['73-8=65', '93-45=48'] Exploring Operation: 65-48=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 69, 92, 25, 45 ]
93
[ "92-69=23", "25+45=70", "23+70=93" ]
Current State: 93:[69, 92, 25, 45], Operations: [] Exploring Operation: 92-69=23, Resulting Numbers: [25, 45, 23] Generated Node #2: [25, 45, 23] from Operation: 92-69=23 Current State: 93:[25, 45, 23], Operations: ['92-69=23'] Exploring Operation: 25+45=70, Resulting Numbers: [23, 70] Generated Node #3: [23, 70] from Operation: 25+45=70 Current State: 93:[23, 70], Operations: ['92-69=23', '25+45=70'] Exploring Operation: 23+70=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 16, 82, 83, 44 ]
28
[ "44-16=28", "83-82=1", "28*1=28" ]
Current State: 28:[16, 82, 83, 44], Operations: [] Exploring Operation: 44-16=28, Resulting Numbers: [82, 83, 28] Generated Node #2: [82, 83, 28] from Operation: 44-16=28 Current State: 28:[82, 83, 28], Operations: ['44-16=28'] Exploring Operation: 83-82=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 83-82=1 Current State: 28:[28, 1], Operations: ['44-16=28', '83-82=1'] Exploring Operation: 28*1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 46, 16, 42, 25 ]
37
[ "46-16=30", "42+25=67", "67-30=37" ]
Current State: 37:[46, 16, 42, 25], Operations: [] Exploring Operation: 46-16=30, Resulting Numbers: [42, 25, 30] Generated Node #2: [42, 25, 30] from Operation: 46-16=30 Current State: 37:[42, 25, 30], Operations: ['46-16=30'] Exploring Operation: 42+25=67, Resulting Numbers: [30, 67] Generated Node #3: [30, 67] from Operation: 42+25=67 Current State: 37:[30, 67], Operations: ['46-16=30', '42+25=67'] Exploring Operation: 67-30=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 55, 99, 91, 35 ]
28
[ "55+99=154", "91+35=126", "154-126=28" ]
Current State: 28:[55, 99, 91, 35], Operations: [] Exploring Operation: 55+99=154, Resulting Numbers: [91, 35, 154] Generated Node #2: [91, 35, 154] from Operation: 55+99=154 Current State: 28:[91, 35, 154], Operations: ['55+99=154'] Exploring Operation: 91+35=126, Resulting Numbers: [154, 126] Generated Node #3: [154, 126] from Operation: 91+35=126 Current State: 28:[154, 126], Operations: ['55+99=154', '91+35=126'] Exploring Operation: 154-126=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 77, 6, 29, 27 ]
70
[ "77+27=104", "6*29=174", "174-104=70" ]
Current State: 70:[77, 6, 29, 27], Operations: [] Exploring Operation: 77+27=104, Resulting Numbers: [6, 29, 104] Generated Node #2: [6, 29, 104] from Operation: 77+27=104 Current State: 70:[6, 29, 104], Operations: ['77+27=104'] Exploring Operation: 6*29=174, Resulting Numbers: [104, 174] Generated Node #3: [104, 174] from Operation: 6*29=174 Current State: 70:[104, 174], Operations: ['77+27=104', '6*29=174'] Exploring Operation: 174-104=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 11, 86, 35, 8 ]
19
[ "11-8=3", "35*3=105", "105-86=19" ]
Current State: 19:[11, 86, 35, 8], Operations: [] Exploring Operation: 11-8=3, Resulting Numbers: [86, 35, 3] Generated Node #2: [86, 35, 3] from Operation: 11-8=3 Current State: 19:[86, 35, 3], Operations: ['11-8=3'] Exploring Operation: 35*3=105, Resulting Numbers: [86, 105] Generated Node #3: [86, 105] from Operation: 35*3=105 Current State: 19:[86, 105], Operations: ['11-8=3', '35*3=105'] Exploring Operation: 105-86=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4