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
[ 93, 76, 62, 90 ]
24
[ "93*76=7068", "7068/62=114", "114-90=24" ]
Current State: 24:[93, 76, 62, 90], Operations: [] Exploring Operation: 93*76=7068, Resulting Numbers: [62, 90, 7068] Generated Node #2: [62, 90, 7068] from Operation: 93*76=7068 Current State: 24:[62, 90, 7068], Operations: ['93*76=7068'] Exploring Operation: 7068/62=114, Resulting Numbers: [90, 114] Generated Node #3: [90, 114] from Operation: 7068/62=114 Current State: 24:[90, 114], Operations: ['93*76=7068', '7068/62=114'] Exploring Operation: 114-90=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 35, 4, 5, 29 ]
50
[ "35+4=39", "39-29=10", "5*10=50" ]
Current State: 50:[35, 4, 5, 29], Operations: [] Exploring Operation: 35+4=39, Resulting Numbers: [5, 29, 39] Generated Node #2: [5, 29, 39] from Operation: 35+4=39 Current State: 50:[5, 29, 39], Operations: ['35+4=39'] Exploring Operation: 39-29=10, Resulting Numbers: [5, 10] Generated Node #3: [5, 10] from Operation: 39-29=10 Current State: 50:[5, 10], Operations: ['35+4=39', '39-29=10'] Exploring Operation: 5*10=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 2, 4, 12, 95 ]
94
[ "2+95=97", "12/4=3", "97-3=94" ]
Current State: 94:[2, 4, 12, 95], Operations: [] Exploring Operation: 2+95=97, Resulting Numbers: [4, 12, 97] Generated Node #2: [4, 12, 97] from Operation: 2+95=97 Current State: 94:[4, 12, 97], Operations: ['2+95=97'] Exploring Operation: 12/4=3, Resulting Numbers: [97, 3] Generated Node #3: [97, 3] from Operation: 12/4=3 Current State: 94:[97, 3], Operations: ['2+95=97', '12/4=3'] Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 81, 30, 31, 25 ]
32
[ "81-31=50", "50/25=2", "30+2=32" ]
Current State: 32:[81, 30, 31, 25], Operations: [] Exploring Operation: 81-31=50, Resulting Numbers: [30, 25, 50] Generated Node #2: [30, 25, 50] from Operation: 81-31=50 Current State: 32:[30, 25, 50], Operations: ['81-31=50'] Exploring Operation: 50/25=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 50/25=2 Current State: 32:[30, 2], Operations: ['81-31=50', '50/25=2'] Exploring Operation: 30+2=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 4, 18, 81, 82 ]
23
[ "4+18=22", "82-81=1", "22+1=23" ]
Current State: 23:[4, 18, 81, 82], Operations: [] Exploring Operation: 4+18=22, Resulting Numbers: [81, 82, 22] Generated Node #2: [81, 82, 22] from Operation: 4+18=22 Current State: 23:[81, 82, 22], Operations: ['4+18=22'] Exploring Operation: 82-81=1, Resulting Numbers: [22, 1] Generated Node #3: [22, 1] from Operation: 82-81=1 Current State: 23:[22, 1], Operations: ['4+18=22', '82-81=1'] Exploring Operation: 22+1=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 52, 83, 77, 77 ]
31
[ "83-52=31", "77-77=0", "31+0=31" ]
Current State: 31:[52, 83, 77, 77], Operations: [] Exploring Operation: 83-52=31, Resulting Numbers: [77, 77, 31] Generated Node #2: [77, 77, 31] from Operation: 83-52=31 Current State: 31:[77, 77, 31], Operations: ['83-52=31'] Exploring Operation: 77-77=0, Resulting Numbers: [31, 0] Generated Node #3: [31, 0] from Operation: 77-77=0 Current State: 31:[31, 0], Operations: ['83-52=31', '77-77=0'] Exploring Operation: 31+0=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 43, 7, 46, 92 ]
79
[ "43*92=3956", "3956/46=86", "86-7=79" ]
Current State: 79:[43, 7, 46, 92], Operations: [] Exploring Operation: 43*92=3956, Resulting Numbers: [7, 46, 3956] Generated Node #2: [7, 46, 3956] from Operation: 43*92=3956 Current State: 79:[7, 46, 3956], Operations: ['43*92=3956'] Exploring Operation: 3956/46=86, Resulting Numbers: [7, 86] Generated Node #3: [7, 86] from Operation: 3956/46=86 Current State: 79:[7, 86], Operations: ['43*92=3956', '3956/46=86'] Exploring Operation: 86-7=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 99, 20, 80, 10 ]
93
[ "99-10=89", "80/20=4", "89+4=93" ]
Current State: 93:[99, 20, 80, 10], Operations: [] Exploring Operation: 99-10=89, Resulting Numbers: [20, 80, 89] Generated Node #2: [20, 80, 89] from Operation: 99-10=89 Current State: 93:[20, 80, 89], Operations: ['99-10=89'] Exploring Operation: 80/20=4, Resulting Numbers: [89, 4] Generated Node #3: [89, 4] from Operation: 80/20=4 Current State: 93:[89, 4], Operations: ['99-10=89', '80/20=4'] Exploring Operation: 89+4=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 39, 26, 13, 67 ]
45
[ "26*67=1742", "13+1742=1755", "1755/39=45" ]
Current State: 45:[39, 26, 13, 67], Operations: [] Exploring Operation: 26*67=1742, Resulting Numbers: [39, 13, 1742] Generated Node #2: [39, 13, 1742] from Operation: 26*67=1742 Current State: 45:[39, 13, 1742], Operations: ['26*67=1742'] Exploring Operation: 13+1742=1755, Resulting Numbers: [39, 1755] Generated Node #3: [39, 1755] from Operation: 13+1742=1755 Current State: 45:[39, 1755], Operations: ['26*67=1742', '13+1742=1755'] Exploring Operation: 1755/39=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 52, 2, 66, 90 ]
50
[ "52/2=26", "90-66=24", "26+24=50" ]
Current State: 50:[52, 2, 66, 90], Operations: [] Exploring Operation: 52/2=26, Resulting Numbers: [66, 90, 26] Generated Node #2: [66, 90, 26] from Operation: 52/2=26 Current State: 50:[66, 90, 26], Operations: ['52/2=26'] Exploring Operation: 90-66=24, Resulting Numbers: [26, 24] Generated Node #3: [26, 24] from Operation: 90-66=24 Current State: 50:[26, 24], Operations: ['52/2=26', '90-66=24'] Exploring Operation: 26+24=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 45, 48, 50, 46 ]
68
[ "50-48=2", "46/2=23", "45+23=68" ]
Current State: 68:[45, 48, 50, 46], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [45, 46, 2] Generated Node #2: [45, 46, 2] from Operation: 50-48=2 Current State: 68:[45, 46, 2], Operations: ['50-48=2'] Exploring Operation: 46/2=23, Resulting Numbers: [45, 23] Generated Node #3: [45, 23] from Operation: 46/2=23 Current State: 68:[45, 23], Operations: ['50-48=2', '46/2=23'] Exploring Operation: 45+23=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 16, 13, 15, 79 ]
67
[ "16-13=3", "79-15=64", "3+64=67" ]
Current State: 67:[16, 13, 15, 79], Operations: [] Exploring Operation: 16-13=3, Resulting Numbers: [15, 79, 3] Generated Node #2: [15, 79, 3] from Operation: 16-13=3 Current State: 67:[15, 79, 3], Operations: ['16-13=3'] Exploring Operation: 79-15=64, Resulting Numbers: [3, 64] Generated Node #3: [3, 64] from Operation: 79-15=64 Current State: 67:[3, 64], Operations: ['16-13=3', '79-15=64'] Exploring Operation: 3+64=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 7, 60, 70, 49 ]
99
[ "70/7=10", "60+49=109", "109-10=99" ]
Current State: 99:[7, 60, 70, 49], Operations: [] Exploring Operation: 70/7=10, Resulting Numbers: [60, 49, 10] Generated Node #2: [60, 49, 10] from Operation: 70/7=10 Current State: 99:[60, 49, 10], Operations: ['70/7=10'] Exploring Operation: 60+49=109, Resulting Numbers: [10, 109] Generated Node #3: [10, 109] from Operation: 60+49=109 Current State: 99:[10, 109], Operations: ['70/7=10', '60+49=109'] Exploring Operation: 109-10=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 29, 51, 2, 42 ]
25
[ "42-29=13", "2*13=26", "51-26=25" ]
Current State: 25:[29, 51, 2, 42], Operations: [] Exploring Operation: 42-29=13, Resulting Numbers: [51, 2, 13] Generated Node #2: [51, 2, 13] from Operation: 42-29=13 Current State: 25:[51, 2, 13], Operations: ['42-29=13'] Exploring Operation: 2*13=26, Resulting Numbers: [51, 26] Generated Node #3: [51, 26] from Operation: 2*13=26 Current State: 25:[51, 26], Operations: ['42-29=13', '2*13=26'] Exploring Operation: 51-26=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 42, 88, 40, 88 ]
40
[ "88-88=0", "42*0=0", "40+0=40" ]
Current State: 40:[42, 88, 40, 88], Operations: [] Exploring Operation: 88-88=0, Resulting Numbers: [42, 40, 0] Generated Node #2: [42, 40, 0] from Operation: 88-88=0 Current State: 40:[42, 40, 0], Operations: ['88-88=0'] Exploring Operation: 42*0=0, Resulting Numbers: [40, 0] Generated Node #3: [40, 0] from Operation: 42*0=0 Current State: 40:[40, 0], Operations: ['88-88=0', '42*0=0'] Exploring Operation: 40+0=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 23, 12, 79, 5 ]
95
[ "23-12=11", "79+5=84", "11+84=95" ]
Current State: 95:[23, 12, 79, 5], Operations: [] Exploring Operation: 23-12=11, Resulting Numbers: [79, 5, 11] Generated Node #2: [79, 5, 11] from Operation: 23-12=11 Current State: 95:[79, 5, 11], Operations: ['23-12=11'] Exploring Operation: 79+5=84, Resulting Numbers: [11, 84] Generated Node #3: [11, 84] from Operation: 79+5=84 Current State: 95:[11, 84], Operations: ['23-12=11', '79+5=84'] Exploring Operation: 11+84=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 80, 19, 43, 74 ]
18
[ "80+19=99", "43+74=117", "117-99=18" ]
Current State: 18:[80, 19, 43, 74], Operations: [] Exploring Operation: 80+19=99, Resulting Numbers: [43, 74, 99] Generated Node #2: [43, 74, 99] from Operation: 80+19=99 Current State: 18:[43, 74, 99], Operations: ['80+19=99'] Exploring Operation: 43+74=117, Resulting Numbers: [99, 117] Generated Node #3: [99, 117] from Operation: 43+74=117 Current State: 18:[99, 117], Operations: ['80+19=99', '43+74=117'] Exploring Operation: 117-99=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 90, 75, 46, 30 ]
21
[ "90/30=3", "75/3=25", "46-25=21" ]
Current State: 21:[90, 75, 46, 30], Operations: [] Exploring Operation: 90/30=3, Resulting Numbers: [75, 46, 3] Generated Node #2: [75, 46, 3] from Operation: 90/30=3 Current State: 21:[75, 46, 3], Operations: ['90/30=3'] Exploring Operation: 75/3=25, Resulting Numbers: [46, 25] Generated Node #3: [46, 25] from Operation: 75/3=25 Current State: 21:[46, 25], Operations: ['90/30=3', '75/3=25'] Exploring Operation: 46-25=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 2, 10, 18, 65 ]
49
[ "18-10=8", "2*8=16", "65-16=49" ]
Current State: 49:[2, 10, 18, 65], Operations: [] Exploring Operation: 18-10=8, Resulting Numbers: [2, 65, 8] Generated Node #2: [2, 65, 8] from Operation: 18-10=8 Current State: 49:[2, 65, 8], Operations: ['18-10=8'] Exploring Operation: 2*8=16, Resulting Numbers: [65, 16] Generated Node #3: [65, 16] from Operation: 2*8=16 Current State: 49:[65, 16], Operations: ['18-10=8', '2*8=16'] Exploring Operation: 65-16=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 53, 47, 21, 32 ]
66
[ "53-47=6", "32-21=11", "6*11=66" ]
Current State: 66:[53, 47, 21, 32], Operations: [] Exploring Operation: 53-47=6, Resulting Numbers: [21, 32, 6] Generated Node #2: [21, 32, 6] from Operation: 53-47=6 Current State: 66:[21, 32, 6], Operations: ['53-47=6'] Exploring Operation: 32-21=11, Resulting Numbers: [6, 11] Generated Node #3: [6, 11] from Operation: 32-21=11 Current State: 66:[6, 11], Operations: ['53-47=6', '32-21=11'] Exploring Operation: 6*11=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 1, 87, 7, 34 ]
92
[ "1+34=35", "35/7=5", "87+5=92" ]
Current State: 92:[1, 87, 7, 34], Operations: [] Exploring Operation: 1+34=35, Resulting Numbers: [87, 7, 35] Generated Node #2: [87, 7, 35] from Operation: 1+34=35 Current State: 92:[87, 7, 35], Operations: ['1+34=35'] Exploring Operation: 35/7=5, Resulting Numbers: [87, 5] Generated Node #3: [87, 5] from Operation: 35/7=5 Current State: 92:[87, 5], Operations: ['1+34=35', '35/7=5'] Exploring Operation: 87+5=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 55, 4, 78, 57 ]
50
[ "55+57=112", "112/4=28", "78-28=50" ]
Current State: 50:[55, 4, 78, 57], Operations: [] Exploring Operation: 55+57=112, Resulting Numbers: [4, 78, 112] Generated Node #2: [4, 78, 112] from Operation: 55+57=112 Current State: 50:[4, 78, 112], Operations: ['55+57=112'] Exploring Operation: 112/4=28, Resulting Numbers: [78, 28] Generated Node #3: [78, 28] from Operation: 112/4=28 Current State: 50:[78, 28], Operations: ['55+57=112', '112/4=28'] Exploring Operation: 78-28=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 91, 88, 27, 8 ]
72
[ "91-88=3", "27*8=216", "216/3=72" ]
Current State: 72:[91, 88, 27, 8], Operations: [] Exploring Operation: 91-88=3, Resulting Numbers: [27, 8, 3] Generated Node #2: [27, 8, 3] from Operation: 91-88=3 Current State: 72:[27, 8, 3], Operations: ['91-88=3'] Exploring Operation: 27*8=216, Resulting Numbers: [3, 216] Generated Node #3: [3, 216] from Operation: 27*8=216 Current State: 72:[3, 216], Operations: ['91-88=3', '27*8=216'] Exploring Operation: 216/3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 79, 67, 94, 66 ]
14
[ "79+67=146", "94+66=160", "160-146=14" ]
Current State: 14:[79, 67, 94, 66], Operations: [] Exploring Operation: 79+67=146, Resulting Numbers: [94, 66, 146] Generated Node #2: [94, 66, 146] from Operation: 79+67=146 Current State: 14:[94, 66, 146], Operations: ['79+67=146'] Exploring Operation: 94+66=160, Resulting Numbers: [146, 160] Generated Node #3: [146, 160] from Operation: 94+66=160 Current State: 14:[146, 160], Operations: ['79+67=146', '94+66=160'] Exploring Operation: 160-146=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 34, 64, 15, 69 ]
95
[ "34-15=19", "69-64=5", "19*5=95" ]
Current State: 95:[34, 64, 15, 69], Operations: [] Exploring Operation: 34-15=19, Resulting Numbers: [64, 69, 19] Generated Node #2: [64, 69, 19] from Operation: 34-15=19 Current State: 95:[64, 69, 19], Operations: ['34-15=19'] Exploring Operation: 69-64=5, Resulting Numbers: [19, 5] Generated Node #3: [19, 5] from Operation: 69-64=5 Current State: 95:[19, 5], Operations: ['34-15=19', '69-64=5'] Exploring Operation: 19*5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 5, 85, 16, 92 ]
87
[ "85-5=80", "80/16=5", "92-5=87" ]
Current State: 87:[5, 85, 16, 92], Operations: [] Exploring Operation: 85-5=80, Resulting Numbers: [16, 92, 80] Generated Node #2: [16, 92, 80] from Operation: 85-5=80 Current State: 87:[16, 92, 80], Operations: ['85-5=80'] Exploring Operation: 80/16=5, Resulting Numbers: [92, 5] Generated Node #3: [92, 5] from Operation: 80/16=5 Current State: 87:[92, 5], Operations: ['85-5=80', '80/16=5'] Exploring Operation: 92-5=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 87, 60, 12, 21 ]
69
[ "87+21=108", "108/12=9", "60+9=69" ]
Current State: 69:[87, 60, 12, 21], Operations: [] Exploring Operation: 87+21=108, Resulting Numbers: [60, 12, 108] Generated Node #2: [60, 12, 108] from Operation: 87+21=108 Current State: 69:[60, 12, 108], Operations: ['87+21=108'] Exploring Operation: 108/12=9, Resulting Numbers: [60, 9] Generated Node #3: [60, 9] from Operation: 108/12=9 Current State: 69:[60, 9], Operations: ['87+21=108', '108/12=9'] Exploring Operation: 60+9=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 84, 30, 42, 29 ]
22
[ "42-30=12", "84/12=7", "29-7=22" ]
Current State: 22:[84, 30, 42, 29], Operations: [] Exploring Operation: 42-30=12, Resulting Numbers: [84, 29, 12] Generated Node #2: [84, 29, 12] from Operation: 42-30=12 Current State: 22:[84, 29, 12], Operations: ['42-30=12'] Exploring Operation: 84/12=7, Resulting Numbers: [29, 7] Generated Node #3: [29, 7] from Operation: 84/12=7 Current State: 22:[29, 7], Operations: ['42-30=12', '84/12=7'] Exploring Operation: 29-7=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 16, 64, 60, 56 ]
20
[ "16+64=80", "60-56=4", "80/4=20" ]
Current State: 20:[16, 64, 60, 56], Operations: [] Exploring Operation: 16+64=80, Resulting Numbers: [60, 56, 80] Generated Node #2: [60, 56, 80] from Operation: 16+64=80 Current State: 20:[60, 56, 80], Operations: ['16+64=80'] Exploring Operation: 60-56=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 60-56=4 Current State: 20:[80, 4], Operations: ['16+64=80', '60-56=4'] Exploring Operation: 80/4=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 72, 82, 74, 92 ]
20
[ "74-72=2", "92-82=10", "2*10=20" ]
Current State: 20:[72, 82, 74, 92], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [82, 92, 2] Generated Node #2: [82, 92, 2] from Operation: 74-72=2 Current State: 20:[82, 92, 2], Operations: ['74-72=2'] Exploring Operation: 92-82=10, Resulting Numbers: [2, 10] Generated Node #3: [2, 10] from Operation: 92-82=10 Current State: 20:[2, 10], Operations: ['74-72=2', '92-82=10'] Exploring Operation: 2*10=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 87, 40, 97, 54 ]
50
[ "97-87=10", "40/10=4", "54-4=50" ]
Current State: 50:[87, 40, 97, 54], Operations: [] Exploring Operation: 97-87=10, Resulting Numbers: [40, 54, 10] Generated Node #2: [40, 54, 10] from Operation: 97-87=10 Current State: 50:[40, 54, 10], Operations: ['97-87=10'] Exploring Operation: 40/10=4, Resulting Numbers: [54, 4] Generated Node #3: [54, 4] from Operation: 40/10=4 Current State: 50:[54, 4], Operations: ['97-87=10', '40/10=4'] Exploring Operation: 54-4=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 67, 49, 45, 83 ]
12
[ "67+49=116", "45+83=128", "128-116=12" ]
Current State: 12:[67, 49, 45, 83], Operations: [] Exploring Operation: 67+49=116, Resulting Numbers: [45, 83, 116] Generated Node #2: [45, 83, 116] from Operation: 67+49=116 Current State: 12:[45, 83, 116], Operations: ['67+49=116'] Exploring Operation: 45+83=128, Resulting Numbers: [116, 128] Generated Node #3: [116, 128] from Operation: 45+83=128 Current State: 12:[116, 128], Operations: ['67+49=116', '45+83=128'] Exploring Operation: 128-116=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 45, 19, 88, 69 ]
62
[ "45+88=133", "133/19=7", "69-7=62" ]
Current State: 62:[45, 19, 88, 69], Operations: [] Exploring Operation: 45+88=133, Resulting Numbers: [19, 69, 133] Generated Node #2: [19, 69, 133] from Operation: 45+88=133 Current State: 62:[19, 69, 133], Operations: ['45+88=133'] Exploring Operation: 133/19=7, Resulting Numbers: [69, 7] Generated Node #3: [69, 7] from Operation: 133/19=7 Current State: 62:[69, 7], Operations: ['45+88=133', '133/19=7'] Exploring Operation: 69-7=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 12, 15, 7, 93 ]
73
[ "12+15=27", "7+93=100", "100-27=73" ]
Current State: 73:[12, 15, 7, 93], Operations: [] Exploring Operation: 12+15=27, Resulting Numbers: [7, 93, 27] Generated Node #2: [7, 93, 27] from Operation: 12+15=27 Current State: 73:[7, 93, 27], Operations: ['12+15=27'] Exploring Operation: 7+93=100, Resulting Numbers: [27, 100] Generated Node #3: [27, 100] from Operation: 7+93=100 Current State: 73:[27, 100], Operations: ['12+15=27', '7+93=100'] Exploring Operation: 100-27=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 84, 99, 86, 85 ]
92
[ "86-84=2", "99+85=184", "184/2=92" ]
Current State: 92:[84, 99, 86, 85], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [99, 85, 2] Generated Node #2: [99, 85, 2] from Operation: 86-84=2 Current State: 92:[99, 85, 2], Operations: ['86-84=2'] Exploring Operation: 99+85=184, Resulting Numbers: [2, 184] Generated Node #3: [2, 184] from Operation: 99+85=184 Current State: 92:[2, 184], Operations: ['86-84=2', '99+85=184'] Exploring Operation: 184/2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 45, 8, 6, 44 ]
87
[ "45-8=37", "6+44=50", "37+50=87" ]
Current State: 87:[45, 8, 6, 44], Operations: [] Exploring Operation: 45-8=37, Resulting Numbers: [6, 44, 37] Generated Node #2: [6, 44, 37] from Operation: 45-8=37 Current State: 87:[6, 44, 37], Operations: ['45-8=37'] Exploring Operation: 6+44=50, Resulting Numbers: [37, 50] Generated Node #3: [37, 50] from Operation: 6+44=50 Current State: 87:[37, 50], Operations: ['45-8=37', '6+44=50'] Exploring Operation: 37+50=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 23, 7, 69, 79 ]
100
[ "69/23=3", "7*3=21", "79+21=100" ]
Current State: 100:[23, 7, 69, 79], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [7, 79, 3] Generated Node #2: [7, 79, 3] from Operation: 69/23=3 Current State: 100:[7, 79, 3], Operations: ['69/23=3'] Exploring Operation: 7*3=21, Resulting Numbers: [79, 21] Generated Node #3: [79, 21] from Operation: 7*3=21 Current State: 100:[79, 21], Operations: ['69/23=3', '7*3=21'] Exploring Operation: 79+21=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 82, 41, 3, 30 ]
25
[ "82/41=2", "30-3=27", "27-2=25" ]
Current State: 25:[82, 41, 3, 30], Operations: [] Exploring Operation: 82/41=2, Resulting Numbers: [3, 30, 2] Generated Node #2: [3, 30, 2] from Operation: 82/41=2 Current State: 25:[3, 30, 2], Operations: ['82/41=2'] Exploring Operation: 30-3=27, Resulting Numbers: [2, 27] Generated Node #3: [2, 27] from Operation: 30-3=27 Current State: 25:[2, 27], Operations: ['82/41=2', '30-3=27'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 45, 37, 95, 20 ]
88
[ "45*37=1665", "95+1665=1760", "1760/20=88" ]
Current State: 88:[45, 37, 95, 20], Operations: [] Exploring Operation: 45*37=1665, Resulting Numbers: [95, 20, 1665] Generated Node #2: [95, 20, 1665] from Operation: 45*37=1665 Current State: 88:[95, 20, 1665], Operations: ['45*37=1665'] Exploring Operation: 95+1665=1760, Resulting Numbers: [20, 1760] Generated Node #3: [20, 1760] from Operation: 95+1665=1760 Current State: 88:[20, 1760], Operations: ['45*37=1665', '95+1665=1760'] Exploring Operation: 1760/20=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 56, 67, 77, 76 ]
83
[ "67-56=11", "77/11=7", "76+7=83" ]
Current State: 83:[56, 67, 77, 76], Operations: [] Exploring Operation: 67-56=11, Resulting Numbers: [77, 76, 11] Generated Node #2: [77, 76, 11] from Operation: 67-56=11 Current State: 83:[77, 76, 11], Operations: ['67-56=11'] Exploring Operation: 77/11=7, Resulting Numbers: [76, 7] Generated Node #3: [76, 7] from Operation: 77/11=7 Current State: 83:[76, 7], Operations: ['67-56=11', '77/11=7'] Exploring Operation: 76+7=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 56, 66, 77, 30 ]
57
[ "66-56=10", "77-30=47", "10+47=57" ]
Current State: 57:[56, 66, 77, 30], Operations: [] Exploring Operation: 66-56=10, Resulting Numbers: [77, 30, 10] Generated Node #2: [77, 30, 10] from Operation: 66-56=10 Current State: 57:[77, 30, 10], Operations: ['66-56=10'] Exploring Operation: 77-30=47, Resulting Numbers: [10, 47] Generated Node #3: [10, 47] from Operation: 77-30=47 Current State: 57:[10, 47], Operations: ['66-56=10', '77-30=47'] Exploring Operation: 10+47=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 1, 78, 88, 16 ]
27
[ "78-1=77", "88+16=104", "104-77=27" ]
Current State: 27:[1, 78, 88, 16], Operations: [] Exploring Operation: 78-1=77, Resulting Numbers: [88, 16, 77] Generated Node #2: [88, 16, 77] from Operation: 78-1=77 Current State: 27:[88, 16, 77], Operations: ['78-1=77'] Exploring Operation: 88+16=104, Resulting Numbers: [77, 104] Generated Node #3: [77, 104] from Operation: 88+16=104 Current State: 27:[77, 104], Operations: ['78-1=77', '88+16=104'] Exploring Operation: 104-77=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 25, 40, 81, 28 ]
68
[ "40-25=15", "81-28=53", "15+53=68" ]
Current State: 68:[25, 40, 81, 28], Operations: [] Exploring Operation: 40-25=15, Resulting Numbers: [81, 28, 15] Generated Node #2: [81, 28, 15] from Operation: 40-25=15 Current State: 68:[81, 28, 15], Operations: ['40-25=15'] Exploring Operation: 81-28=53, Resulting Numbers: [15, 53] Generated Node #3: [15, 53] from Operation: 81-28=53 Current State: 68:[15, 53], Operations: ['40-25=15', '81-28=53'] Exploring Operation: 15+53=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 35, 3, 46, 22 ]
85
[ "35-22=13", "3*13=39", "46+39=85" ]
Current State: 85:[35, 3, 46, 22], Operations: [] Exploring Operation: 35-22=13, Resulting Numbers: [3, 46, 13] Generated Node #2: [3, 46, 13] from Operation: 35-22=13 Current State: 85:[3, 46, 13], Operations: ['35-22=13'] Exploring Operation: 3*13=39, Resulting Numbers: [46, 39] Generated Node #3: [46, 39] from Operation: 3*13=39 Current State: 85:[46, 39], Operations: ['35-22=13', '3*13=39'] Exploring Operation: 46+39=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 5, 53, 10, 25 ]
21
[ "53*10=530", "530-5=525", "525/25=21" ]
Current State: 21:[5, 53, 10, 25], Operations: [] Exploring Operation: 53*10=530, Resulting Numbers: [5, 25, 530] Generated Node #2: [5, 25, 530] from Operation: 53*10=530 Current State: 21:[5, 25, 530], Operations: ['53*10=530'] Exploring Operation: 530-5=525, Resulting Numbers: [25, 525] Generated Node #3: [25, 525] from Operation: 530-5=525 Current State: 21:[25, 525], Operations: ['53*10=530', '530-5=525'] Exploring Operation: 525/25=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 54, 79, 22, 67 ]
44
[ "54+79=133", "22+67=89", "133-89=44" ]
Current State: 44:[54, 79, 22, 67], Operations: [] Exploring Operation: 54+79=133, Resulting Numbers: [22, 67, 133] Generated Node #2: [22, 67, 133] from Operation: 54+79=133 Current State: 44:[22, 67, 133], Operations: ['54+79=133'] Exploring Operation: 22+67=89, Resulting Numbers: [133, 89] Generated Node #3: [133, 89] from Operation: 22+67=89 Current State: 44:[133, 89], Operations: ['54+79=133', '22+67=89'] Exploring Operation: 133-89=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 86, 91, 67, 69 ]
41
[ "86+91=177", "67+69=136", "177-136=41" ]
Current State: 41:[86, 91, 67, 69], Operations: [] Exploring Operation: 86+91=177, Resulting Numbers: [67, 69, 177] Generated Node #2: [67, 69, 177] from Operation: 86+91=177 Current State: 41:[67, 69, 177], Operations: ['86+91=177'] Exploring Operation: 67+69=136, Resulting Numbers: [177, 136] Generated Node #3: [177, 136] from Operation: 67+69=136 Current State: 41:[177, 136], Operations: ['86+91=177', '67+69=136'] Exploring Operation: 177-136=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 99, 10, 3, 31 ]
40
[ "99-10=89", "31+89=120", "120/3=40" ]
Current State: 40:[99, 10, 3, 31], Operations: [] Exploring Operation: 99-10=89, Resulting Numbers: [3, 31, 89] Generated Node #2: [3, 31, 89] from Operation: 99-10=89 Current State: 40:[3, 31, 89], Operations: ['99-10=89'] Exploring Operation: 31+89=120, Resulting Numbers: [3, 120] Generated Node #3: [3, 120] from Operation: 31+89=120 Current State: 40:[3, 120], Operations: ['99-10=89', '31+89=120'] Exploring Operation: 120/3=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 40, 42, 5, 23 ]
43
[ "40-23=17", "5*17=85", "85-42=43" ]
Current State: 43:[40, 42, 5, 23], Operations: [] Exploring Operation: 40-23=17, Resulting Numbers: [42, 5, 17] Generated Node #2: [42, 5, 17] from Operation: 40-23=17 Current State: 43:[42, 5, 17], Operations: ['40-23=17'] Exploring Operation: 5*17=85, Resulting Numbers: [42, 85] Generated Node #3: [42, 85] from Operation: 5*17=85 Current State: 43:[42, 85], Operations: ['40-23=17', '5*17=85'] Exploring Operation: 85-42=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 15, 6, 67, 6 ]
59
[ "15+6=21", "6*21=126", "126-67=59" ]
Current State: 59:[15, 6, 67, 6], Operations: [] Exploring Operation: 15+6=21, Resulting Numbers: [67, 21] Generated Node #2: [67, 21] from Operation: 15+6=21 Current State: 59:[67, 21], Operations: ['15+6=21'] Exploring Operation: 6*21=126, Resulting Numbers: [67, 126] Generated Node #3: [67, 126] from Operation: 6*21=126 Current State: 59:[67, 126], Operations: ['15+6=21', '6*21=126'] Exploring Operation: 126-67=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 30, 72, 3, 39 ]
57
[ "30*3=90", "72-39=33", "90-33=57" ]
Current State: 57:[30, 72, 3, 39], Operations: [] Exploring Operation: 30*3=90, Resulting Numbers: [72, 39, 90] Generated Node #2: [72, 39, 90] from Operation: 30*3=90 Current State: 57:[72, 39, 90], Operations: ['30*3=90'] Exploring Operation: 72-39=33, Resulting Numbers: [90, 33] Generated Node #3: [90, 33] from Operation: 72-39=33 Current State: 57:[90, 33], Operations: ['30*3=90', '72-39=33'] Exploring Operation: 90-33=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 54, 63, 84, 11 ]
86
[ "63-54=9", "84+11=95", "95-9=86" ]
Current State: 86:[54, 63, 84, 11], Operations: [] Exploring Operation: 63-54=9, Resulting Numbers: [84, 11, 9] Generated Node #2: [84, 11, 9] from Operation: 63-54=9 Current State: 86:[84, 11, 9], Operations: ['63-54=9'] Exploring Operation: 84+11=95, Resulting Numbers: [9, 95] Generated Node #3: [9, 95] from Operation: 84+11=95 Current State: 86:[9, 95], Operations: ['63-54=9', '84+11=95'] Exploring Operation: 95-9=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 25, 2, 52, 53 ]
28
[ "25+2=27", "53-52=1", "27+1=28" ]
Current State: 28:[25, 2, 52, 53], Operations: [] Exploring Operation: 25+2=27, Resulting Numbers: [52, 53, 27] Generated Node #2: [52, 53, 27] from Operation: 25+2=27 Current State: 28:[52, 53, 27], Operations: ['25+2=27'] Exploring Operation: 53-52=1, Resulting Numbers: [27, 1] Generated Node #3: [27, 1] from Operation: 53-52=1 Current State: 28:[27, 1], Operations: ['25+2=27', '53-52=1'] Exploring Operation: 27+1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 30, 57, 59, 6 ]
90
[ "30*6=180", "59-57=2", "180/2=90" ]
Current State: 90:[30, 57, 59, 6], Operations: [] Exploring Operation: 30*6=180, Resulting Numbers: [57, 59, 180] Generated Node #2: [57, 59, 180] from Operation: 30*6=180 Current State: 90:[57, 59, 180], Operations: ['30*6=180'] Exploring Operation: 59-57=2, Resulting Numbers: [180, 2] Generated Node #3: [180, 2] from Operation: 59-57=2 Current State: 90:[180, 2], Operations: ['30*6=180', '59-57=2'] Exploring Operation: 180/2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 63, 3, 56, 5 ]
80
[ "56-5=51", "51/3=17", "63+17=80" ]
Current State: 80:[63, 3, 56, 5], Operations: [] Exploring Operation: 56-5=51, Resulting Numbers: [63, 3, 51] Generated Node #2: [63, 3, 51] from Operation: 56-5=51 Current State: 80:[63, 3, 51], Operations: ['56-5=51'] Exploring Operation: 51/3=17, Resulting Numbers: [63, 17] Generated Node #3: [63, 17] from Operation: 51/3=17 Current State: 80:[63, 17], Operations: ['56-5=51', '51/3=17'] Exploring Operation: 63+17=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 32, 12, 50, 10 ]
68
[ "12-10=2", "50*2=100", "100-32=68" ]
Current State: 68:[32, 12, 50, 10], Operations: [] Exploring Operation: 12-10=2, Resulting Numbers: [32, 50, 2] Generated Node #2: [32, 50, 2] from Operation: 12-10=2 Current State: 68:[32, 50, 2], Operations: ['12-10=2'] Exploring Operation: 50*2=100, Resulting Numbers: [32, 100] Generated Node #3: [32, 100] from Operation: 50*2=100 Current State: 68:[32, 100], Operations: ['12-10=2', '50*2=100'] Exploring Operation: 100-32=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 40, 19, 43, 14 ]
18
[ "40*19=760", "14+760=774", "774/43=18" ]
Current State: 18:[40, 19, 43, 14], Operations: [] Exploring Operation: 40*19=760, Resulting Numbers: [43, 14, 760] Generated Node #2: [43, 14, 760] from Operation: 40*19=760 Current State: 18:[43, 14, 760], Operations: ['40*19=760'] Exploring Operation: 14+760=774, Resulting Numbers: [43, 774] Generated Node #3: [43, 774] from Operation: 14+760=774 Current State: 18:[43, 774], Operations: ['40*19=760', '14+760=774'] Exploring Operation: 774/43=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 21, 62, 75, 88 ]
28
[ "62-21=41", "88-75=13", "41-13=28" ]
Current State: 28:[21, 62, 75, 88], Operations: [] Exploring Operation: 62-21=41, Resulting Numbers: [75, 88, 41] Generated Node #2: [75, 88, 41] from Operation: 62-21=41 Current State: 28:[75, 88, 41], Operations: ['62-21=41'] Exploring Operation: 88-75=13, Resulting Numbers: [41, 13] Generated Node #3: [41, 13] from Operation: 88-75=13 Current State: 28:[41, 13], Operations: ['62-21=41', '88-75=13'] Exploring Operation: 41-13=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 1, 6, 44, 76 ]
19
[ "44+76=120", "120/6=20", "20-1=19" ]
Current State: 19:[1, 6, 44, 76], Operations: [] Exploring Operation: 44+76=120, Resulting Numbers: [1, 6, 120] Generated Node #2: [1, 6, 120] from Operation: 44+76=120 Current State: 19:[1, 6, 120], Operations: ['44+76=120'] Exploring Operation: 120/6=20, Resulting Numbers: [1, 20] Generated Node #3: [1, 20] from Operation: 120/6=20 Current State: 19:[1, 20], Operations: ['44+76=120', '120/6=20'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 18, 63, 20, 95 ]
70
[ "63-18=45", "20+95=115", "115-45=70" ]
Current State: 70:[18, 63, 20, 95], Operations: [] Exploring Operation: 63-18=45, Resulting Numbers: [20, 95, 45] Generated Node #2: [20, 95, 45] from Operation: 63-18=45 Current State: 70:[20, 95, 45], Operations: ['63-18=45'] Exploring Operation: 20+95=115, Resulting Numbers: [45, 115] Generated Node #3: [45, 115] from Operation: 20+95=115 Current State: 70:[45, 115], Operations: ['63-18=45', '20+95=115'] Exploring Operation: 115-45=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 37, 7, 84, 39 ]
15
[ "37-7=30", "84-39=45", "45-30=15" ]
Current State: 15:[37, 7, 84, 39], Operations: [] Exploring Operation: 37-7=30, Resulting Numbers: [84, 39, 30] Generated Node #2: [84, 39, 30] from Operation: 37-7=30 Current State: 15:[84, 39, 30], Operations: ['37-7=30'] Exploring Operation: 84-39=45, Resulting Numbers: [30, 45] Generated Node #3: [30, 45] from Operation: 84-39=45 Current State: 15:[30, 45], Operations: ['37-7=30', '84-39=45'] Exploring Operation: 45-30=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 33, 72, 28, 96 ]
16
[ "33*96=3168", "3168/72=44", "44-28=16" ]
Current State: 16:[33, 72, 28, 96], Operations: [] Exploring Operation: 33*96=3168, Resulting Numbers: [72, 28, 3168] Generated Node #2: [72, 28, 3168] from Operation: 33*96=3168 Current State: 16:[72, 28, 3168], Operations: ['33*96=3168'] Exploring Operation: 3168/72=44, Resulting Numbers: [28, 44] Generated Node #3: [28, 44] from Operation: 3168/72=44 Current State: 16:[28, 44], Operations: ['33*96=3168', '3168/72=44'] Exploring Operation: 44-28=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 2, 97, 44, 5 ]
29
[ "97-44=53", "5+53=58", "58/2=29" ]
Current State: 29:[2, 97, 44, 5], Operations: [] Exploring Operation: 97-44=53, Resulting Numbers: [2, 5, 53] Generated Node #2: [2, 5, 53] from Operation: 97-44=53 Current State: 29:[2, 5, 53], Operations: ['97-44=53'] Exploring Operation: 5+53=58, Resulting Numbers: [2, 58] Generated Node #3: [2, 58] from Operation: 5+53=58 Current State: 29:[2, 58], Operations: ['97-44=53', '5+53=58'] Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 17, 52, 33, 5 ]
73
[ "52-17=35", "33+5=38", "35+38=73" ]
Current State: 73:[17, 52, 33, 5], Operations: [] Exploring Operation: 52-17=35, Resulting Numbers: [33, 5, 35] Generated Node #2: [33, 5, 35] from Operation: 52-17=35 Current State: 73:[33, 5, 35], Operations: ['52-17=35'] Exploring Operation: 33+5=38, Resulting Numbers: [35, 38] Generated Node #3: [35, 38] from Operation: 33+5=38 Current State: 73:[35, 38], Operations: ['52-17=35', '33+5=38'] Exploring Operation: 35+38=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 32, 17, 96, 29 ]
43
[ "96/32=3", "17+29=46", "46-3=43" ]
Current State: 43:[32, 17, 96, 29], Operations: [] Exploring Operation: 96/32=3, Resulting Numbers: [17, 29, 3] Generated Node #2: [17, 29, 3] from Operation: 96/32=3 Current State: 43:[17, 29, 3], Operations: ['96/32=3'] Exploring Operation: 17+29=46, Resulting Numbers: [3, 46] Generated Node #3: [3, 46] from Operation: 17+29=46 Current State: 43:[3, 46], Operations: ['96/32=3', '17+29=46'] Exploring Operation: 46-3=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 25, 95, 5, 42 ]
90
[ "25+95=120", "5*42=210", "210-120=90" ]
Current State: 90:[25, 95, 5, 42], Operations: [] Exploring Operation: 25+95=120, Resulting Numbers: [5, 42, 120] Generated Node #2: [5, 42, 120] from Operation: 25+95=120 Current State: 90:[5, 42, 120], Operations: ['25+95=120'] Exploring Operation: 5*42=210, Resulting Numbers: [120, 210] Generated Node #3: [120, 210] from Operation: 5*42=210 Current State: 90:[120, 210], Operations: ['25+95=120', '5*42=210'] Exploring Operation: 210-120=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 92, 51, 45, 8 ]
32
[ "92-51=41", "45-41=4", "8*4=32" ]
Current State: 32:[92, 51, 45, 8], Operations: [] Exploring Operation: 92-51=41, Resulting Numbers: [45, 8, 41] Generated Node #2: [45, 8, 41] from Operation: 92-51=41 Current State: 32:[45, 8, 41], Operations: ['92-51=41'] Exploring Operation: 45-41=4, Resulting Numbers: [8, 4] Generated Node #3: [8, 4] from Operation: 45-41=4 Current State: 32:[8, 4], Operations: ['92-51=41', '45-41=4'] Exploring Operation: 8*4=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 13, 30, 11, 13 ]
44
[ "30-13=17", "17-13=4", "11*4=44" ]
Current State: 44:[13, 30, 11, 13], Operations: [] Exploring Operation: 30-13=17, Resulting Numbers: [11, 17] Generated Node #2: [11, 17] from Operation: 30-13=17 Current State: 44:[11, 17], Operations: ['30-13=17'] Exploring Operation: 17-13=4, Resulting Numbers: [11, 4] Generated Node #3: [11, 4] from Operation: 17-13=4 Current State: 44:[11, 4], Operations: ['30-13=17', '17-13=4'] Exploring Operation: 11*4=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 92, 5, 98, 94 ]
93
[ "92+5=97", "98-94=4", "97-4=93" ]
Current State: 93:[92, 5, 98, 94], Operations: [] Exploring Operation: 92+5=97, Resulting Numbers: [98, 94, 97] Generated Node #2: [98, 94, 97] from Operation: 92+5=97 Current State: 93:[98, 94, 97], Operations: ['92+5=97'] Exploring Operation: 98-94=4, Resulting Numbers: [97, 4] Generated Node #3: [97, 4] from Operation: 98-94=4 Current State: 93:[97, 4], Operations: ['92+5=97', '98-94=4'] Exploring Operation: 97-4=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 68, 39, 4, 67 ]
11
[ "68/4=17", "67-39=28", "28-17=11" ]
Current State: 11:[68, 39, 4, 67], Operations: [] Exploring Operation: 68/4=17, Resulting Numbers: [39, 67, 17] Generated Node #2: [39, 67, 17] from Operation: 68/4=17 Current State: 11:[39, 67, 17], Operations: ['68/4=17'] Exploring Operation: 67-39=28, Resulting Numbers: [17, 28] Generated Node #3: [17, 28] from Operation: 67-39=28 Current State: 11:[17, 28], Operations: ['68/4=17', '67-39=28'] Exploring Operation: 28-17=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 65, 69, 16, 91 ]
59
[ "65+69=134", "91-16=75", "134-75=59" ]
Current State: 59:[65, 69, 16, 91], Operations: [] Exploring Operation: 65+69=134, Resulting Numbers: [16, 91, 134] Generated Node #2: [16, 91, 134] from Operation: 65+69=134 Current State: 59:[16, 91, 134], Operations: ['65+69=134'] Exploring Operation: 91-16=75, Resulting Numbers: [134, 75] Generated Node #3: [134, 75] from Operation: 91-16=75 Current State: 59:[134, 75], Operations: ['65+69=134', '91-16=75'] Exploring Operation: 134-75=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 8, 61, 8, 4 ]
63
[ "8-4=4", "8/4=2", "61+2=63" ]
Current State: 63:[8, 61, 8, 4], Operations: [] Exploring Operation: 8-4=4, Resulting Numbers: [61, 4] Generated Node #2: [61, 4] from Operation: 8-4=4 Current State: 63:[61, 4], Operations: ['8-4=4'] Exploring Operation: 8/4=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 8/4=2 Current State: 63:[61, 2], Operations: ['8-4=4', '8/4=2'] Exploring Operation: 61+2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 45, 62, 58, 38 ]
87
[ "45+62=107", "58-38=20", "107-20=87" ]
Current State: 87:[45, 62, 58, 38], Operations: [] Exploring Operation: 45+62=107, Resulting Numbers: [58, 38, 107] Generated Node #2: [58, 38, 107] from Operation: 45+62=107 Current State: 87:[58, 38, 107], Operations: ['45+62=107'] Exploring Operation: 58-38=20, Resulting Numbers: [107, 20] Generated Node #3: [107, 20] from Operation: 58-38=20 Current State: 87:[107, 20], Operations: ['45+62=107', '58-38=20'] Exploring Operation: 107-20=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 10, 47, 37, 2 ]
17
[ "10+47=57", "37*2=74", "74-57=17" ]
Current State: 17:[10, 47, 37, 2], Operations: [] Exploring Operation: 10+47=57, Resulting Numbers: [37, 2, 57] Generated Node #2: [37, 2, 57] from Operation: 10+47=57 Current State: 17:[37, 2, 57], Operations: ['10+47=57'] Exploring Operation: 37*2=74, Resulting Numbers: [57, 74] Generated Node #3: [57, 74] from Operation: 37*2=74 Current State: 17:[57, 74], Operations: ['10+47=57', '37*2=74'] Exploring Operation: 74-57=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 53, 36, 91, 97 ]
93
[ "53+91=144", "144/36=4", "97-4=93" ]
Current State: 93:[53, 36, 91, 97], Operations: [] Exploring Operation: 53+91=144, Resulting Numbers: [36, 97, 144] Generated Node #2: [36, 97, 144] from Operation: 53+91=144 Current State: 93:[36, 97, 144], Operations: ['53+91=144'] Exploring Operation: 144/36=4, Resulting Numbers: [97, 4] Generated Node #3: [97, 4] from Operation: 144/36=4 Current State: 93:[97, 4], Operations: ['53+91=144', '144/36=4'] Exploring Operation: 97-4=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 3, 77, 33, 27 ]
68
[ "77-3=74", "33-27=6", "74-6=68" ]
Current State: 68:[3, 77, 33, 27], Operations: [] Exploring Operation: 77-3=74, Resulting Numbers: [33, 27, 74] Generated Node #2: [33, 27, 74] from Operation: 77-3=74 Current State: 68:[33, 27, 74], Operations: ['77-3=74'] Exploring Operation: 33-27=6, Resulting Numbers: [74, 6] Generated Node #3: [74, 6] from Operation: 33-27=6 Current State: 68:[74, 6], Operations: ['77-3=74', '33-27=6'] Exploring Operation: 74-6=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 29, 61, 14, 25 ]
26
[ "61+14=75", "75/25=3", "29-3=26" ]
Current State: 26:[29, 61, 14, 25], Operations: [] Exploring Operation: 61+14=75, Resulting Numbers: [29, 25, 75] Generated Node #2: [29, 25, 75] from Operation: 61+14=75 Current State: 26:[29, 25, 75], Operations: ['61+14=75'] Exploring Operation: 75/25=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 75/25=3 Current State: 26:[29, 3], Operations: ['61+14=75', '75/25=3'] Exploring Operation: 29-3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 61, 46, 10, 52 ]
44
[ "61-52=9", "10*9=90", "90-46=44" ]
Current State: 44:[61, 46, 10, 52], Operations: [] Exploring Operation: 61-52=9, Resulting Numbers: [46, 10, 9] Generated Node #2: [46, 10, 9] from Operation: 61-52=9 Current State: 44:[46, 10, 9], Operations: ['61-52=9'] Exploring Operation: 10*9=90, Resulting Numbers: [46, 90] Generated Node #3: [46, 90] from Operation: 10*9=90 Current State: 44:[46, 90], Operations: ['61-52=9', '10*9=90'] Exploring Operation: 90-46=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 16, 29, 61, 85 ]
83
[ "61-29=32", "32/16=2", "85-2=83" ]
Current State: 83:[16, 29, 61, 85], Operations: [] Exploring Operation: 61-29=32, Resulting Numbers: [16, 85, 32] Generated Node #2: [16, 85, 32] from Operation: 61-29=32 Current State: 83:[16, 85, 32], Operations: ['61-29=32'] Exploring Operation: 32/16=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 32/16=2 Current State: 83:[85, 2], Operations: ['61-29=32', '32/16=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 36, 3, 12, 3 ]
87
[ "36-3=33", "3*33=99", "99-12=87" ]
Current State: 87:[36, 3, 12, 3], Operations: [] Exploring Operation: 36-3=33, Resulting Numbers: [12, 33] Generated Node #2: [12, 33] from Operation: 36-3=33 Current State: 87:[12, 33], Operations: ['36-3=33'] Exploring Operation: 3*33=99, Resulting Numbers: [12, 99] Generated Node #3: [12, 99] from Operation: 3*33=99 Current State: 87:[12, 99], Operations: ['36-3=33', '3*33=99'] Exploring Operation: 99-12=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 48, 4, 74, 14 ]
33
[ "74-14=60", "60/4=15", "48-15=33" ]
Current State: 33:[48, 4, 74, 14], Operations: [] Exploring Operation: 74-14=60, Resulting Numbers: [48, 4, 60] Generated Node #2: [48, 4, 60] from Operation: 74-14=60 Current State: 33:[48, 4, 60], Operations: ['74-14=60'] Exploring Operation: 60/4=15, Resulting Numbers: [48, 15] Generated Node #3: [48, 15] from Operation: 60/4=15 Current State: 33:[48, 15], Operations: ['74-14=60', '60/4=15'] Exploring Operation: 48-15=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 2, 46, 28, 10 ]
27
[ "46+28=74", "74/2=37", "37-10=27" ]
Current State: 27:[2, 46, 28, 10], Operations: [] Exploring Operation: 46+28=74, Resulting Numbers: [2, 10, 74] Generated Node #2: [2, 10, 74] from Operation: 46+28=74 Current State: 27:[2, 10, 74], Operations: ['46+28=74'] Exploring Operation: 74/2=37, Resulting Numbers: [10, 37] Generated Node #3: [10, 37] from Operation: 74/2=37 Current State: 27:[10, 37], Operations: ['46+28=74', '74/2=37'] Exploring Operation: 37-10=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 36, 50, 80, 84 ]
70
[ "80-50=30", "84*30=2520", "2520/36=70" ]
Current State: 70:[36, 50, 80, 84], Operations: [] Exploring Operation: 80-50=30, Resulting Numbers: [36, 84, 30] Generated Node #2: [36, 84, 30] from Operation: 80-50=30 Current State: 70:[36, 84, 30], Operations: ['80-50=30'] Exploring Operation: 84*30=2520, Resulting Numbers: [36, 2520] Generated Node #3: [36, 2520] from Operation: 84*30=2520 Current State: 70:[36, 2520], Operations: ['80-50=30', '84*30=2520'] Exploring Operation: 2520/36=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 71, 70, 60, 10 ]
61
[ "71*60=4260", "10+4260=4270", "4270/70=61" ]
Current State: 61:[71, 70, 60, 10], Operations: [] Exploring Operation: 71*60=4260, Resulting Numbers: [70, 10, 4260] Generated Node #2: [70, 10, 4260] from Operation: 71*60=4260 Current State: 61:[70, 10, 4260], Operations: ['71*60=4260'] Exploring Operation: 10+4260=4270, Resulting Numbers: [70, 4270] Generated Node #3: [70, 4270] from Operation: 10+4260=4270 Current State: 61:[70, 4270], Operations: ['71*60=4260', '10+4260=4270'] Exploring Operation: 4270/70=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 30, 51, 78, 48 ]
68
[ "51-48=3", "30/3=10", "78-10=68" ]
Current State: 68:[30, 51, 78, 48], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [30, 78, 3] Generated Node #2: [30, 78, 3] from Operation: 51-48=3 Current State: 68:[30, 78, 3], Operations: ['51-48=3'] Exploring Operation: 30/3=10, Resulting Numbers: [78, 10] Generated Node #3: [78, 10] from Operation: 30/3=10 Current State: 68:[78, 10], Operations: ['51-48=3', '30/3=10'] Exploring Operation: 78-10=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 69, 7, 11, 43 ]
27
[ "69+43=112", "112/7=16", "11+16=27" ]
Current State: 27:[69, 7, 11, 43], Operations: [] Exploring Operation: 69+43=112, Resulting Numbers: [7, 11, 112] Generated Node #2: [7, 11, 112] from Operation: 69+43=112 Current State: 27:[7, 11, 112], Operations: ['69+43=112'] Exploring Operation: 112/7=16, Resulting Numbers: [11, 16] Generated Node #3: [11, 16] from Operation: 112/7=16 Current State: 27:[11, 16], Operations: ['69+43=112', '112/7=16'] Exploring Operation: 11+16=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 24, 45, 90, 74 ]
52
[ "74-24=50", "90/45=2", "50+2=52" ]
Current State: 52:[24, 45, 90, 74], Operations: [] Exploring Operation: 74-24=50, Resulting Numbers: [45, 90, 50] Generated Node #2: [45, 90, 50] from Operation: 74-24=50 Current State: 52:[45, 90, 50], Operations: ['74-24=50'] Exploring Operation: 90/45=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 90/45=2 Current State: 52:[50, 2], Operations: ['74-24=50', '90/45=2'] Exploring Operation: 50+2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 2, 84, 5, 29 ]
16
[ "5+29=34", "2*34=68", "84-68=16" ]
Current State: 16:[2, 84, 5, 29], Operations: [] Exploring Operation: 5+29=34, Resulting Numbers: [2, 84, 34] Generated Node #2: [2, 84, 34] from Operation: 5+29=34 Current State: 16:[2, 84, 34], Operations: ['5+29=34'] Exploring Operation: 2*34=68, Resulting Numbers: [84, 68] Generated Node #3: [84, 68] from Operation: 2*34=68 Current State: 16:[84, 68], Operations: ['5+29=34', '2*34=68'] Exploring Operation: 84-68=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 70, 87, 8, 6 ]
52
[ "8-6=2", "70/2=35", "87-35=52" ]
Current State: 52:[70, 87, 8, 6], Operations: [] Exploring Operation: 8-6=2, Resulting Numbers: [70, 87, 2] Generated Node #2: [70, 87, 2] from Operation: 8-6=2 Current State: 52:[70, 87, 2], Operations: ['8-6=2'] Exploring Operation: 70/2=35, Resulting Numbers: [87, 35] Generated Node #3: [87, 35] from Operation: 70/2=35 Current State: 52:[87, 35], Operations: ['8-6=2', '70/2=35'] Exploring Operation: 87-35=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 96, 12, 63, 19 ]
40
[ "96-12=84", "63-19=44", "84-44=40" ]
Current State: 40:[96, 12, 63, 19], Operations: [] Exploring Operation: 96-12=84, Resulting Numbers: [63, 19, 84] Generated Node #2: [63, 19, 84] from Operation: 96-12=84 Current State: 40:[63, 19, 84], Operations: ['96-12=84'] Exploring Operation: 63-19=44, Resulting Numbers: [84, 44] Generated Node #3: [84, 44] from Operation: 63-19=44 Current State: 40:[84, 44], Operations: ['96-12=84', '63-19=44'] Exploring Operation: 84-44=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 44, 62, 40, 56 ]
10
[ "44+62=106", "40+56=96", "106-96=10" ]
Current State: 10:[44, 62, 40, 56], Operations: [] Exploring Operation: 44+62=106, Resulting Numbers: [40, 56, 106] Generated Node #2: [40, 56, 106] from Operation: 44+62=106 Current State: 10:[40, 56, 106], Operations: ['44+62=106'] Exploring Operation: 40+56=96, Resulting Numbers: [106, 96] Generated Node #3: [106, 96] from Operation: 40+56=96 Current State: 10:[106, 96], Operations: ['44+62=106', '40+56=96'] Exploring Operation: 106-96=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 48, 31, 18, 71 ]
71
[ "48-31=17", "18-17=1", "71*1=71" ]
Current State: 71:[48, 31, 18, 71], Operations: [] Exploring Operation: 48-31=17, Resulting Numbers: [18, 71, 17] Generated Node #2: [18, 71, 17] from Operation: 48-31=17 Current State: 71:[18, 71, 17], Operations: ['48-31=17'] Exploring Operation: 18-17=1, Resulting Numbers: [71, 1] Generated Node #3: [71, 1] from Operation: 18-17=1 Current State: 71:[71, 1], Operations: ['48-31=17', '18-17=1'] Exploring Operation: 71*1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 24, 2, 69, 27 ]
99
[ "69-24=45", "2*27=54", "45+54=99" ]
Current State: 99:[24, 2, 69, 27], Operations: [] Exploring Operation: 69-24=45, Resulting Numbers: [2, 27, 45] Generated Node #2: [2, 27, 45] from Operation: 69-24=45 Current State: 99:[2, 27, 45], Operations: ['69-24=45'] Exploring Operation: 2*27=54, Resulting Numbers: [45, 54] Generated Node #3: [45, 54] from Operation: 2*27=54 Current State: 99:[45, 54], Operations: ['69-24=45', '2*27=54'] Exploring Operation: 45+54=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 82, 17, 38, 97 ]
76
[ "82+17=99", "99-97=2", "38*2=76" ]
Current State: 76:[82, 17, 38, 97], Operations: [] Exploring Operation: 82+17=99, Resulting Numbers: [38, 97, 99] Generated Node #2: [38, 97, 99] from Operation: 82+17=99 Current State: 76:[38, 97, 99], Operations: ['82+17=99'] Exploring Operation: 99-97=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 99-97=2 Current State: 76:[38, 2], Operations: ['82+17=99', '99-97=2'] Exploring Operation: 38*2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 90, 11, 5, 39 ]
35
[ "90-11=79", "5+39=44", "79-44=35" ]
Current State: 35:[90, 11, 5, 39], Operations: [] Exploring Operation: 90-11=79, Resulting Numbers: [5, 39, 79] Generated Node #2: [5, 39, 79] from Operation: 90-11=79 Current State: 35:[5, 39, 79], Operations: ['90-11=79'] Exploring Operation: 5+39=44, Resulting Numbers: [79, 44] Generated Node #3: [79, 44] from Operation: 5+39=44 Current State: 35:[79, 44], Operations: ['90-11=79', '5+39=44'] Exploring Operation: 79-44=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 90, 73, 74, 64 ]
64
[ "73-64=9", "90/9=10", "74-10=64" ]
Current State: 64:[90, 73, 74, 64], Operations: [] Exploring Operation: 73-64=9, Resulting Numbers: [90, 74, 9] Generated Node #2: [90, 74, 9] from Operation: 73-64=9 Current State: 64:[90, 74, 9], Operations: ['73-64=9'] Exploring Operation: 90/9=10, Resulting Numbers: [74, 10] Generated Node #3: [74, 10] from Operation: 90/9=10 Current State: 64:[74, 10], Operations: ['73-64=9', '90/9=10'] Exploring Operation: 74-10=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 92, 42, 7, 86 ]
55
[ "92+42=134", "86-7=79", "134-79=55" ]
Current State: 55:[92, 42, 7, 86], Operations: [] Exploring Operation: 92+42=134, Resulting Numbers: [7, 86, 134] Generated Node #2: [7, 86, 134] from Operation: 92+42=134 Current State: 55:[7, 86, 134], Operations: ['92+42=134'] Exploring Operation: 86-7=79, Resulting Numbers: [134, 79] Generated Node #3: [134, 79] from Operation: 86-7=79 Current State: 55:[134, 79], Operations: ['92+42=134', '86-7=79'] Exploring Operation: 134-79=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 72, 13, 84, 4 ]
38
[ "72-13=59", "84/4=21", "59-21=38" ]
Current State: 38:[72, 13, 84, 4], Operations: [] Exploring Operation: 72-13=59, Resulting Numbers: [84, 4, 59] Generated Node #2: [84, 4, 59] from Operation: 72-13=59 Current State: 38:[84, 4, 59], Operations: ['72-13=59'] Exploring Operation: 84/4=21, Resulting Numbers: [59, 21] Generated Node #3: [59, 21] from Operation: 84/4=21 Current State: 38:[59, 21], Operations: ['72-13=59', '84/4=21'] Exploring Operation: 59-21=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 96, 93, 3, 42 ]
83
[ "96/3=32", "93-42=51", "32+51=83" ]
Current State: 83:[96, 93, 3, 42], Operations: [] Exploring Operation: 96/3=32, Resulting Numbers: [93, 42, 32] Generated Node #2: [93, 42, 32] from Operation: 96/3=32 Current State: 83:[93, 42, 32], Operations: ['96/3=32'] Exploring Operation: 93-42=51, Resulting Numbers: [32, 51] Generated Node #3: [32, 51] from Operation: 93-42=51 Current State: 83:[32, 51], Operations: ['96/3=32', '93-42=51'] Exploring Operation: 32+51=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 46, 1, 21, 2 ]
25
[ "46-21=25", "2-1=1", "25*1=25" ]
Current State: 25:[46, 1, 21, 2], Operations: [] Exploring Operation: 46-21=25, Resulting Numbers: [1, 2, 25] Generated Node #2: [1, 2, 25] from Operation: 46-21=25 Current State: 25:[1, 2, 25], Operations: ['46-21=25'] Exploring Operation: 2-1=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 2-1=1 Current State: 25:[25, 1], Operations: ['46-21=25', '2-1=1'] Exploring Operation: 25*1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4