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
[ 9, 17, 16, 95 ]
86
[ "95-9=86", "17-16=1", "86*1=86" ]
Current State: 86:[9, 17, 16, 95], Operations: [] Exploring Operation: 95-9=86, Resulting Numbers: [17, 16, 86] Generated Node #2: [17, 16, 86] from Operation: 95-9=86 Current State: 86:[17, 16, 86], Operations: ['95-9=86'] Exploring Operation: 17-16=1, Resulting Numbers: [86, 1] Generated Node #3: [86, 1] from Operation: 17-16=1 Current State: 86:[86, 1], Operations: ['95-9=86', '17-16=1'] Exploring Operation: 86*1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 15, 70, 80, 39 ]
34
[ "15+70=85", "80+39=119", "119-85=34" ]
Current State: 34:[15, 70, 80, 39], Operations: [] Exploring Operation: 15+70=85, Resulting Numbers: [80, 39, 85] Generated Node #2: [80, 39, 85] from Operation: 15+70=85 Current State: 34:[80, 39, 85], Operations: ['15+70=85'] Exploring Operation: 80+39=119, Resulting Numbers: [85, 119] Generated Node #3: [85, 119] from Operation: 80+39=119 Current State: 34:[85, 119], Operations: ['15+70=85', '80+39=119'] Exploring Operation: 119-85=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 50, 42, 14, 27 ]
59
[ "42/14=3", "27/3=9", "50+9=59" ]
Current State: 59:[50, 42, 14, 27], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [50, 27, 3] Generated Node #2: [50, 27, 3] from Operation: 42/14=3 Current State: 59:[50, 27, 3], Operations: ['42/14=3'] Exploring Operation: 27/3=9, Resulting Numbers: [50, 9] Generated Node #3: [50, 9] from Operation: 27/3=9 Current State: 59:[50, 9], Operations: ['42/14=3', '27/3=9'] Exploring Operation: 50+9=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 94, 22, 98, 61 ]
87
[ "94-22=72", "98+61=159", "159-72=87" ]
Current State: 87:[94, 22, 98, 61], Operations: [] Exploring Operation: 94-22=72, Resulting Numbers: [98, 61, 72] Generated Node #2: [98, 61, 72] from Operation: 94-22=72 Current State: 87:[98, 61, 72], Operations: ['94-22=72'] Exploring Operation: 98+61=159, Resulting Numbers: [72, 159] Generated Node #3: [72, 159] from Operation: 98+61=159 Current State: 87:[72, 159], Operations: ['94-22=72', '98+61=159'] Exploring Operation: 159-72=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 17, 31, 64, 51 ]
92
[ "51/17=3", "31+64=95", "95-3=92" ]
Current State: 92:[17, 31, 64, 51], Operations: [] Exploring Operation: 51/17=3, Resulting Numbers: [31, 64, 3] Generated Node #2: [31, 64, 3] from Operation: 51/17=3 Current State: 92:[31, 64, 3], Operations: ['51/17=3'] Exploring Operation: 31+64=95, Resulting Numbers: [3, 95] Generated Node #3: [3, 95] from Operation: 31+64=95 Current State: 92:[3, 95], Operations: ['51/17=3', '31+64=95'] Exploring Operation: 95-3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 19, 36, 87, 48 ]
97
[ "87*48=4176", "4176/36=116", "116-19=97" ]
Current State: 97:[19, 36, 87, 48], Operations: [] Exploring Operation: 87*48=4176, Resulting Numbers: [19, 36, 4176] Generated Node #2: [19, 36, 4176] from Operation: 87*48=4176 Current State: 97:[19, 36, 4176], Operations: ['87*48=4176'] Exploring Operation: 4176/36=116, Resulting Numbers: [19, 116] Generated Node #3: [19, 116] from Operation: 4176/36=116 Current State: 97:[19, 116], Operations: ['87*48=4176', '4176/36=116'] Exploring Operation: 116-19=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 7, 56, 2, 37 ]
53
[ "56/7=8", "2*8=16", "37+16=53" ]
Current State: 53:[7, 56, 2, 37], Operations: [] Exploring Operation: 56/7=8, Resulting Numbers: [2, 37, 8] Generated Node #2: [2, 37, 8] from Operation: 56/7=8 Current State: 53:[2, 37, 8], Operations: ['56/7=8'] Exploring Operation: 2*8=16, Resulting Numbers: [37, 16] Generated Node #3: [37, 16] from Operation: 2*8=16 Current State: 53:[37, 16], Operations: ['56/7=8', '2*8=16'] Exploring Operation: 37+16=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 37, 80, 27, 80 ]
11
[ "37-27=10", "80/80=1", "10+1=11" ]
Current State: 11:[37, 80, 27, 80], Operations: [] Exploring Operation: 37-27=10, Resulting Numbers: [80, 80, 10] Generated Node #2: [80, 80, 10] from Operation: 37-27=10 Current State: 11:[80, 80, 10], Operations: ['37-27=10'] Exploring Operation: 80/80=1, Resulting Numbers: [10, 1] Generated Node #3: [10, 1] from Operation: 80/80=1 Current State: 11:[10, 1], Operations: ['37-27=10', '80/80=1'] Exploring Operation: 10+1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 60, 2, 27, 36 ]
53
[ "60+2=62", "36-27=9", "62-9=53" ]
Current State: 53:[60, 2, 27, 36], Operations: [] Exploring Operation: 60+2=62, Resulting Numbers: [27, 36, 62] Generated Node #2: [27, 36, 62] from Operation: 60+2=62 Current State: 53:[27, 36, 62], Operations: ['60+2=62'] Exploring Operation: 36-27=9, Resulting Numbers: [62, 9] Generated Node #3: [62, 9] from Operation: 36-27=9 Current State: 53:[62, 9], Operations: ['60+2=62', '36-27=9'] Exploring Operation: 62-9=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 84, 78, 84, 85 ]
78
[ "84-84=0", "85*0=0", "78+0=78" ]
Current State: 78:[84, 78, 84, 85], Operations: [] Exploring Operation: 84-84=0, Resulting Numbers: [78, 85, 0] Generated Node #2: [78, 85, 0] from Operation: 84-84=0 Current State: 78:[78, 85, 0], Operations: ['84-84=0'] Exploring Operation: 85*0=0, Resulting Numbers: [78, 0] Generated Node #3: [78, 0] from Operation: 85*0=0 Current State: 78:[78, 0], Operations: ['84-84=0', '85*0=0'] Exploring Operation: 78+0=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 45, 23, 10, 95 ]
83
[ "45-23=22", "10+95=105", "105-22=83" ]
Current State: 83:[45, 23, 10, 95], Operations: [] Exploring Operation: 45-23=22, Resulting Numbers: [10, 95, 22] Generated Node #2: [10, 95, 22] from Operation: 45-23=22 Current State: 83:[10, 95, 22], Operations: ['45-23=22'] Exploring Operation: 10+95=105, Resulting Numbers: [22, 105] Generated Node #3: [22, 105] from Operation: 10+95=105 Current State: 83:[22, 105], Operations: ['45-23=22', '10+95=105'] Exploring Operation: 105-22=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 46, 55, 31, 52 ]
18
[ "46+55=101", "31+52=83", "101-83=18" ]
Current State: 18:[46, 55, 31, 52], Operations: [] Exploring Operation: 46+55=101, Resulting Numbers: [31, 52, 101] Generated Node #2: [31, 52, 101] from Operation: 46+55=101 Current State: 18:[31, 52, 101], Operations: ['46+55=101'] Exploring Operation: 31+52=83, Resulting Numbers: [101, 83] Generated Node #3: [101, 83] from Operation: 31+52=83 Current State: 18:[101, 83], Operations: ['46+55=101', '31+52=83'] Exploring Operation: 101-83=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 50, 54, 44, 35 ]
44
[ "50-44=6", "54/6=9", "35+9=44" ]
Current State: 44:[50, 54, 44, 35], Operations: [] Exploring Operation: 50-44=6, Resulting Numbers: [54, 35, 6] Generated Node #2: [54, 35, 6] from Operation: 50-44=6 Current State: 44:[54, 35, 6], Operations: ['50-44=6'] Exploring Operation: 54/6=9, Resulting Numbers: [35, 9] Generated Node #3: [35, 9] from Operation: 54/6=9 Current State: 44:[35, 9], Operations: ['50-44=6', '54/6=9'] Exploring Operation: 35+9=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 75, 22, 93, 14 ]
26
[ "75-22=53", "93-14=79", "79-53=26" ]
Current State: 26:[75, 22, 93, 14], Operations: [] Exploring Operation: 75-22=53, Resulting Numbers: [93, 14, 53] Generated Node #2: [93, 14, 53] from Operation: 75-22=53 Current State: 26:[93, 14, 53], Operations: ['75-22=53'] Exploring Operation: 93-14=79, Resulting Numbers: [53, 79] Generated Node #3: [53, 79] from Operation: 93-14=79 Current State: 26:[53, 79], Operations: ['75-22=53', '93-14=79'] Exploring Operation: 79-53=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 50, 76, 87, 4 ]
17
[ "76-50=26", "4*26=104", "104-87=17" ]
Current State: 17:[50, 76, 87, 4], Operations: [] Exploring Operation: 76-50=26, Resulting Numbers: [87, 4, 26] Generated Node #2: [87, 4, 26] from Operation: 76-50=26 Current State: 17:[87, 4, 26], Operations: ['76-50=26'] Exploring Operation: 4*26=104, Resulting Numbers: [87, 104] Generated Node #3: [87, 104] from Operation: 4*26=104 Current State: 17:[87, 104], Operations: ['76-50=26', '4*26=104'] Exploring Operation: 104-87=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 3, 4, 10, 17 ]
99
[ "10-4=6", "17*6=102", "102-3=99" ]
Current State: 99:[3, 4, 10, 17], Operations: [] Exploring Operation: 10-4=6, Resulting Numbers: [3, 17, 6] Generated Node #2: [3, 17, 6] from Operation: 10-4=6 Current State: 99:[3, 17, 6], Operations: ['10-4=6'] Exploring Operation: 17*6=102, Resulting Numbers: [3, 102] Generated Node #3: [3, 102] from Operation: 17*6=102 Current State: 99:[3, 102], Operations: ['10-4=6', '17*6=102'] Exploring Operation: 102-3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 70, 40, 10, 6 ]
41
[ "70/10=7", "40-6=34", "7+34=41" ]
Current State: 41:[70, 40, 10, 6], Operations: [] Exploring Operation: 70/10=7, Resulting Numbers: [40, 6, 7] Generated Node #2: [40, 6, 7] from Operation: 70/10=7 Current State: 41:[40, 6, 7], Operations: ['70/10=7'] Exploring Operation: 40-6=34, Resulting Numbers: [7, 34] Generated Node #3: [7, 34] from Operation: 40-6=34 Current State: 41:[7, 34], Operations: ['70/10=7', '40-6=34'] Exploring Operation: 7+34=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 69, 96, 24, 59 ]
14
[ "69-59=10", "96/24=4", "10+4=14" ]
Current State: 14:[69, 96, 24, 59], Operations: [] Exploring Operation: 69-59=10, Resulting Numbers: [96, 24, 10] Generated Node #2: [96, 24, 10] from Operation: 69-59=10 Current State: 14:[96, 24, 10], Operations: ['69-59=10'] Exploring Operation: 96/24=4, Resulting Numbers: [10, 4] Generated Node #3: [10, 4] from Operation: 96/24=4 Current State: 14:[10, 4], Operations: ['69-59=10', '96/24=4'] Exploring Operation: 10+4=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 49, 7, 39, 69 ]
37
[ "49/7=7", "69-39=30", "7+30=37" ]
Current State: 37:[49, 7, 39, 69], Operations: [] Exploring Operation: 49/7=7, Resulting Numbers: [39, 69, 7] Generated Node #2: [39, 69, 7] from Operation: 49/7=7 Current State: 37:[39, 69, 7], Operations: ['49/7=7'] Exploring Operation: 69-39=30, Resulting Numbers: [7, 30] Generated Node #3: [7, 30] from Operation: 69-39=30 Current State: 37:[7, 30], Operations: ['49/7=7', '69-39=30'] Exploring Operation: 7+30=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 39, 30, 58, 37 ]
90
[ "39+30=69", "58-37=21", "69+21=90" ]
Current State: 90:[39, 30, 58, 37], Operations: [] Exploring Operation: 39+30=69, Resulting Numbers: [58, 37, 69] Generated Node #2: [58, 37, 69] from Operation: 39+30=69 Current State: 90:[58, 37, 69], Operations: ['39+30=69'] Exploring Operation: 58-37=21, Resulting Numbers: [69, 21] Generated Node #3: [69, 21] from Operation: 58-37=21 Current State: 90:[69, 21], Operations: ['39+30=69', '58-37=21'] Exploring Operation: 69+21=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 38, 64, 23, 99 ]
62
[ "99-23=76", "76/38=2", "64-2=62" ]
Current State: 62:[38, 64, 23, 99], Operations: [] Exploring Operation: 99-23=76, Resulting Numbers: [38, 64, 76] Generated Node #2: [38, 64, 76] from Operation: 99-23=76 Current State: 62:[38, 64, 76], Operations: ['99-23=76'] Exploring Operation: 76/38=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 76/38=2 Current State: 62:[64, 2], Operations: ['99-23=76', '76/38=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 91, 3, 22, 35 ]
65
[ "3+22=25", "91*25=2275", "2275/35=65" ]
Current State: 65:[91, 3, 22, 35], Operations: [] Exploring Operation: 3+22=25, Resulting Numbers: [91, 35, 25] Generated Node #2: [91, 35, 25] from Operation: 3+22=25 Current State: 65:[91, 35, 25], Operations: ['3+22=25'] Exploring Operation: 91*25=2275, Resulting Numbers: [35, 2275] Generated Node #3: [35, 2275] from Operation: 91*25=2275 Current State: 65:[35, 2275], Operations: ['3+22=25', '91*25=2275'] Exploring Operation: 2275/35=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 52, 18, 14, 35 ]
28
[ "52+18=70", "14*70=980", "980/35=28" ]
Current State: 28:[52, 18, 14, 35], Operations: [] Exploring Operation: 52+18=70, Resulting Numbers: [14, 35, 70] Generated Node #2: [14, 35, 70] from Operation: 52+18=70 Current State: 28:[14, 35, 70], Operations: ['52+18=70'] Exploring Operation: 14*70=980, Resulting Numbers: [35, 980] Generated Node #3: [35, 980] from Operation: 14*70=980 Current State: 28:[35, 980], Operations: ['52+18=70', '14*70=980'] Exploring Operation: 980/35=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 66, 86, 83, 42 ]
52
[ "86-83=3", "42/3=14", "66-14=52" ]
Current State: 52:[66, 86, 83, 42], Operations: [] Exploring Operation: 86-83=3, Resulting Numbers: [66, 42, 3] Generated Node #2: [66, 42, 3] from Operation: 86-83=3 Current State: 52:[66, 42, 3], Operations: ['86-83=3'] Exploring Operation: 42/3=14, Resulting Numbers: [66, 14] Generated Node #3: [66, 14] from Operation: 42/3=14 Current State: 52:[66, 14], Operations: ['86-83=3', '42/3=14'] Exploring Operation: 66-14=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 79, 3, 22, 26 ]
67
[ "26-22=4", "3*4=12", "79-12=67" ]
Current State: 67:[79, 3, 22, 26], Operations: [] Exploring Operation: 26-22=4, Resulting Numbers: [79, 3, 4] Generated Node #2: [79, 3, 4] from Operation: 26-22=4 Current State: 67:[79, 3, 4], Operations: ['26-22=4'] Exploring Operation: 3*4=12, Resulting Numbers: [79, 12] Generated Node #3: [79, 12] from Operation: 3*4=12 Current State: 67:[79, 12], Operations: ['26-22=4', '3*4=12'] Exploring Operation: 79-12=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 30, 16, 88, 15 ]
88
[ "30-16=14", "15-14=1", "88*1=88" ]
Current State: 88:[30, 16, 88, 15], Operations: [] Exploring Operation: 30-16=14, Resulting Numbers: [88, 15, 14] Generated Node #2: [88, 15, 14] from Operation: 30-16=14 Current State: 88:[88, 15, 14], Operations: ['30-16=14'] Exploring Operation: 15-14=1, Resulting Numbers: [88, 1] Generated Node #3: [88, 1] from Operation: 15-14=1 Current State: 88:[88, 1], Operations: ['30-16=14', '15-14=1'] Exploring Operation: 88*1=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 50, 40, 2, 94 ]
99
[ "50-40=10", "10/2=5", "94+5=99" ]
Current State: 99:[50, 40, 2, 94], Operations: [] Exploring Operation: 50-40=10, Resulting Numbers: [2, 94, 10] Generated Node #2: [2, 94, 10] from Operation: 50-40=10 Current State: 99:[2, 94, 10], Operations: ['50-40=10'] Exploring Operation: 10/2=5, Resulting Numbers: [94, 5] Generated Node #3: [94, 5] from Operation: 10/2=5 Current State: 99:[94, 5], Operations: ['50-40=10', '10/2=5'] Exploring Operation: 94+5=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 18, 75, 61, 10 ]
14
[ "75-18=57", "61+10=71", "71-57=14" ]
Current State: 14:[18, 75, 61, 10], Operations: [] Exploring Operation: 75-18=57, Resulting Numbers: [61, 10, 57] Generated Node #2: [61, 10, 57] from Operation: 75-18=57 Current State: 14:[61, 10, 57], Operations: ['75-18=57'] Exploring Operation: 61+10=71, Resulting Numbers: [57, 71] Generated Node #3: [57, 71] from Operation: 61+10=71 Current State: 14:[57, 71], Operations: ['75-18=57', '61+10=71'] Exploring Operation: 71-57=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 68, 36, 96, 92 ]
28
[ "68-36=32", "96-92=4", "32-4=28" ]
Current State: 28:[68, 36, 96, 92], Operations: [] Exploring Operation: 68-36=32, Resulting Numbers: [96, 92, 32] Generated Node #2: [96, 92, 32] from Operation: 68-36=32 Current State: 28:[96, 92, 32], Operations: ['68-36=32'] Exploring Operation: 96-92=4, Resulting Numbers: [32, 4] Generated Node #3: [32, 4] from Operation: 96-92=4 Current State: 28:[32, 4], Operations: ['68-36=32', '96-92=4'] Exploring Operation: 32-4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 16, 16, 11, 20 ]
100
[ "16-11=5", "16*5=80", "20+80=100" ]
Current State: 100:[16, 16, 11, 20], Operations: [] Exploring Operation: 16-11=5, Resulting Numbers: [20, 5] Generated Node #2: [20, 5] from Operation: 16-11=5 Current State: 100:[20, 5], Operations: ['16-11=5'] Exploring Operation: 16*5=80, Resulting Numbers: [20, 80] Generated Node #3: [20, 80] from Operation: 16*5=80 Current State: 100:[20, 80], Operations: ['16-11=5', '16*5=80'] Exploring Operation: 20+80=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 84, 83, 3, 29 ]
88
[ "84-83=1", "3*29=87", "1+87=88" ]
Current State: 88:[84, 83, 3, 29], Operations: [] Exploring Operation: 84-83=1, Resulting Numbers: [3, 29, 1] Generated Node #2: [3, 29, 1] from Operation: 84-83=1 Current State: 88:[3, 29, 1], Operations: ['84-83=1'] Exploring Operation: 3*29=87, Resulting Numbers: [1, 87] Generated Node #3: [1, 87] from Operation: 3*29=87 Current State: 88:[1, 87], Operations: ['84-83=1', '3*29=87'] Exploring Operation: 1+87=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 60, 25, 13, 90 ]
65
[ "60+25=85", "90-85=5", "13*5=65" ]
Current State: 65:[60, 25, 13, 90], Operations: [] Exploring Operation: 60+25=85, Resulting Numbers: [13, 90, 85] Generated Node #2: [13, 90, 85] from Operation: 60+25=85 Current State: 65:[13, 90, 85], Operations: ['60+25=85'] Exploring Operation: 90-85=5, Resulting Numbers: [13, 5] Generated Node #3: [13, 5] from Operation: 90-85=5 Current State: 65:[13, 5], Operations: ['60+25=85', '90-85=5'] Exploring Operation: 13*5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 6, 6, 34, 2 ]
36
[ "6-6=0", "34+2=36", "0+36=36" ]
Current State: 36:[6, 6, 34, 2], Operations: [] Exploring Operation: 6-6=0, Resulting Numbers: [34, 2, 0] Generated Node #2: [34, 2, 0] from Operation: 6-6=0 Current State: 36:[34, 2, 0], Operations: ['6-6=0'] Exploring Operation: 34+2=36, Resulting Numbers: [0, 36] Generated Node #3: [0, 36] from Operation: 34+2=36 Current State: 36:[0, 36], Operations: ['6-6=0', '34+2=36'] Exploring Operation: 0+36=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 30, 3, 31, 49 ]
36
[ "30+31=61", "61-49=12", "3*12=36" ]
Current State: 36:[30, 3, 31, 49], Operations: [] Exploring Operation: 30+31=61, Resulting Numbers: [3, 49, 61] Generated Node #2: [3, 49, 61] from Operation: 30+31=61 Current State: 36:[3, 49, 61], Operations: ['30+31=61'] Exploring Operation: 61-49=12, Resulting Numbers: [3, 12] Generated Node #3: [3, 12] from Operation: 61-49=12 Current State: 36:[3, 12], Operations: ['30+31=61', '61-49=12'] Exploring Operation: 3*12=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 84, 28, 89, 16 ]
39
[ "84+28=112", "89-16=73", "112-73=39" ]
Current State: 39:[84, 28, 89, 16], Operations: [] Exploring Operation: 84+28=112, Resulting Numbers: [89, 16, 112] Generated Node #2: [89, 16, 112] from Operation: 84+28=112 Current State: 39:[89, 16, 112], Operations: ['84+28=112'] Exploring Operation: 89-16=73, Resulting Numbers: [112, 73] Generated Node #3: [112, 73] from Operation: 89-16=73 Current State: 39:[112, 73], Operations: ['84+28=112', '89-16=73'] Exploring Operation: 112-73=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 10, 80, 82, 87 ]
78
[ "87-82=5", "10/5=2", "80-2=78" ]
Current State: 78:[10, 80, 82, 87], Operations: [] Exploring Operation: 87-82=5, Resulting Numbers: [10, 80, 5] Generated Node #2: [10, 80, 5] from Operation: 87-82=5 Current State: 78:[10, 80, 5], Operations: ['87-82=5'] Exploring Operation: 10/5=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 10/5=2 Current State: 78:[80, 2], Operations: ['87-82=5', '10/5=2'] Exploring Operation: 80-2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 3, 33, 99, 88 ]
87
[ "3*33=99", "99/99=1", "88-1=87" ]
Current State: 87:[3, 33, 99, 88], Operations: [] Exploring Operation: 3*33=99, Resulting Numbers: [99, 88, 99] Generated Node #2: [99, 88, 99] from Operation: 3*33=99 Current State: 87:[99, 88, 99], Operations: ['3*33=99'] Exploring Operation: 99/99=1, Resulting Numbers: [88, 1] Generated Node #3: [88, 1] from Operation: 99/99=1 Current State: 87:[88, 1], Operations: ['3*33=99', '99/99=1'] Exploring Operation: 88-1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 83, 25, 51, 49 ]
42
[ "83-25=58", "51+49=100", "100-58=42" ]
Current State: 42:[83, 25, 51, 49], Operations: [] Exploring Operation: 83-25=58, Resulting Numbers: [51, 49, 58] Generated Node #2: [51, 49, 58] from Operation: 83-25=58 Current State: 42:[51, 49, 58], Operations: ['83-25=58'] Exploring Operation: 51+49=100, Resulting Numbers: [58, 100] Generated Node #3: [58, 100] from Operation: 51+49=100 Current State: 42:[58, 100], Operations: ['83-25=58', '51+49=100'] Exploring Operation: 100-58=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 99, 78, 31, 99 ]
31
[ "99-99=0", "78*0=0", "31+0=31" ]
Current State: 31:[99, 78, 31, 99], Operations: [] Exploring Operation: 99-99=0, Resulting Numbers: [78, 31, 0] Generated Node #2: [78, 31, 0] from Operation: 99-99=0 Current State: 31:[78, 31, 0], Operations: ['99-99=0'] Exploring Operation: 78*0=0, Resulting Numbers: [31, 0] Generated Node #3: [31, 0] from Operation: 78*0=0 Current State: 31:[31, 0], Operations: ['99-99=0', '78*0=0'] Exploring Operation: 31+0=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 27, 30, 85, 67 ]
21
[ "30-27=3", "85-67=18", "3+18=21" ]
Current State: 21:[27, 30, 85, 67], Operations: [] Exploring Operation: 30-27=3, Resulting Numbers: [85, 67, 3] Generated Node #2: [85, 67, 3] from Operation: 30-27=3 Current State: 21:[85, 67, 3], Operations: ['30-27=3'] Exploring Operation: 85-67=18, Resulting Numbers: [3, 18] Generated Node #3: [3, 18] from Operation: 85-67=18 Current State: 21:[3, 18], Operations: ['30-27=3', '85-67=18'] Exploring Operation: 3+18=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 64, 16, 3, 97 ]
59
[ "64+16=80", "97+80=177", "177/3=59" ]
Current State: 59:[64, 16, 3, 97], Operations: [] Exploring Operation: 64+16=80, Resulting Numbers: [3, 97, 80] Generated Node #2: [3, 97, 80] from Operation: 64+16=80 Current State: 59:[3, 97, 80], Operations: ['64+16=80'] Exploring Operation: 97+80=177, Resulting Numbers: [3, 177] Generated Node #3: [3, 177] from Operation: 97+80=177 Current State: 59:[3, 177], Operations: ['64+16=80', '97+80=177'] Exploring Operation: 177/3=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 6, 35, 29, 2 ]
47
[ "29-6=23", "35*2=70", "70-23=47" ]
Current State: 47:[6, 35, 29, 2], Operations: [] Exploring Operation: 29-6=23, Resulting Numbers: [35, 2, 23] Generated Node #2: [35, 2, 23] from Operation: 29-6=23 Current State: 47:[35, 2, 23], Operations: ['29-6=23'] Exploring Operation: 35*2=70, Resulting Numbers: [23, 70] Generated Node #3: [23, 70] from Operation: 35*2=70 Current State: 47:[23, 70], Operations: ['29-6=23', '35*2=70'] Exploring Operation: 70-23=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 37, 46, 51, 40 ]
29
[ "40-37=3", "51/3=17", "46-17=29" ]
Current State: 29:[37, 46, 51, 40], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [46, 51, 3] Generated Node #2: [46, 51, 3] from Operation: 40-37=3 Current State: 29:[46, 51, 3], Operations: ['40-37=3'] Exploring Operation: 51/3=17, Resulting Numbers: [46, 17] Generated Node #3: [46, 17] from Operation: 51/3=17 Current State: 29:[46, 17], Operations: ['40-37=3', '51/3=17'] Exploring Operation: 46-17=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 64, 50, 70, 2 ]
22
[ "64+50=114", "114-70=44", "44/2=22" ]
Current State: 22:[64, 50, 70, 2], Operations: [] Exploring Operation: 64+50=114, Resulting Numbers: [70, 2, 114] Generated Node #2: [70, 2, 114] from Operation: 64+50=114 Current State: 22:[70, 2, 114], Operations: ['64+50=114'] Exploring Operation: 114-70=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 114-70=44 Current State: 22:[2, 44], Operations: ['64+50=114', '114-70=44'] Exploring Operation: 44/2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 12, 69, 23, 86 ]
77
[ "86-12=74", "69/23=3", "74+3=77" ]
Current State: 77:[12, 69, 23, 86], Operations: [] Exploring Operation: 86-12=74, Resulting Numbers: [69, 23, 74] Generated Node #2: [69, 23, 74] from Operation: 86-12=74 Current State: 77:[69, 23, 74], Operations: ['86-12=74'] Exploring Operation: 69/23=3, Resulting Numbers: [74, 3] Generated Node #3: [74, 3] from Operation: 69/23=3 Current State: 77:[74, 3], Operations: ['86-12=74', '69/23=3'] Exploring Operation: 74+3=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 41, 30, 77, 2 ]
89
[ "41+77=118", "118/2=59", "30+59=89" ]
Current State: 89:[41, 30, 77, 2], Operations: [] Exploring Operation: 41+77=118, Resulting Numbers: [30, 2, 118] Generated Node #2: [30, 2, 118] from Operation: 41+77=118 Current State: 89:[30, 2, 118], Operations: ['41+77=118'] Exploring Operation: 118/2=59, Resulting Numbers: [30, 59] Generated Node #3: [30, 59] from Operation: 118/2=59 Current State: 89:[30, 59], Operations: ['41+77=118', '118/2=59'] Exploring Operation: 30+59=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 24, 94, 93, 88 ]
64
[ "88-24=64", "94-93=1", "64*1=64" ]
Current State: 64:[24, 94, 93, 88], Operations: [] Exploring Operation: 88-24=64, Resulting Numbers: [94, 93, 64] Generated Node #2: [94, 93, 64] from Operation: 88-24=64 Current State: 64:[94, 93, 64], Operations: ['88-24=64'] Exploring Operation: 94-93=1, Resulting Numbers: [64, 1] Generated Node #3: [64, 1] from Operation: 94-93=1 Current State: 64:[64, 1], Operations: ['88-24=64', '94-93=1'] Exploring Operation: 64*1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 97, 75, 25, 56 ]
71
[ "75/25=3", "56*3=168", "168-97=71" ]
Current State: 71:[97, 75, 25, 56], Operations: [] Exploring Operation: 75/25=3, Resulting Numbers: [97, 56, 3] Generated Node #2: [97, 56, 3] from Operation: 75/25=3 Current State: 71:[97, 56, 3], Operations: ['75/25=3'] Exploring Operation: 56*3=168, Resulting Numbers: [97, 168] Generated Node #3: [97, 168] from Operation: 56*3=168 Current State: 71:[97, 168], Operations: ['75/25=3', '56*3=168'] Exploring Operation: 168-97=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 65, 52, 30, 37 ]
67
[ "52-37=15", "30/15=2", "65+2=67" ]
Current State: 67:[65, 52, 30, 37], Operations: [] Exploring Operation: 52-37=15, Resulting Numbers: [65, 30, 15] Generated Node #2: [65, 30, 15] from Operation: 52-37=15 Current State: 67:[65, 30, 15], Operations: ['52-37=15'] Exploring Operation: 30/15=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 30/15=2 Current State: 67:[65, 2], Operations: ['52-37=15', '30/15=2'] Exploring Operation: 65+2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 56, 5, 81, 76 ]
66
[ "56+5=61", "81-76=5", "61+5=66" ]
Current State: 66:[56, 5, 81, 76], Operations: [] Exploring Operation: 56+5=61, Resulting Numbers: [81, 76, 61] Generated Node #2: [81, 76, 61] from Operation: 56+5=61 Current State: 66:[81, 76, 61], Operations: ['56+5=61'] Exploring Operation: 81-76=5, Resulting Numbers: [61, 5] Generated Node #3: [61, 5] from Operation: 81-76=5 Current State: 66:[61, 5], Operations: ['56+5=61', '81-76=5'] Exploring Operation: 61+5=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 78, 36, 56, 12 ]
91
[ "78*56=4368", "36+12=48", "4368/48=91" ]
Current State: 91:[78, 36, 56, 12], Operations: [] Exploring Operation: 78*56=4368, Resulting Numbers: [36, 12, 4368] Generated Node #2: [36, 12, 4368] from Operation: 78*56=4368 Current State: 91:[36, 12, 4368], Operations: ['78*56=4368'] Exploring Operation: 36+12=48, Resulting Numbers: [4368, 48] Generated Node #3: [4368, 48] from Operation: 36+12=48 Current State: 91:[4368, 48], Operations: ['78*56=4368', '36+12=48'] Exploring Operation: 4368/48=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 80, 54, 69, 57 ]
18
[ "80-57=23", "54*23=1242", "1242/69=18" ]
Current State: 18:[80, 54, 69, 57], Operations: [] Exploring Operation: 80-57=23, Resulting Numbers: [54, 69, 23] Generated Node #2: [54, 69, 23] from Operation: 80-57=23 Current State: 18:[54, 69, 23], Operations: ['80-57=23'] Exploring Operation: 54*23=1242, Resulting Numbers: [69, 1242] Generated Node #3: [69, 1242] from Operation: 54*23=1242 Current State: 18:[69, 1242], Operations: ['80-57=23', '54*23=1242'] Exploring Operation: 1242/69=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 17, 3, 23, 72 ]
22
[ "23-17=6", "72-6=66", "66/3=22" ]
Current State: 22:[17, 3, 23, 72], Operations: [] Exploring Operation: 23-17=6, Resulting Numbers: [3, 72, 6] Generated Node #2: [3, 72, 6] from Operation: 23-17=6 Current State: 22:[3, 72, 6], Operations: ['23-17=6'] Exploring Operation: 72-6=66, Resulting Numbers: [3, 66] Generated Node #3: [3, 66] from Operation: 72-6=66 Current State: 22:[3, 66], Operations: ['23-17=6', '72-6=66'] Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 26, 74, 1, 28 ]
74
[ "26+1=27", "28-27=1", "74*1=74" ]
Current State: 74:[26, 74, 1, 28], Operations: [] Exploring Operation: 26+1=27, Resulting Numbers: [74, 28, 27] Generated Node #2: [74, 28, 27] from Operation: 26+1=27 Current State: 74:[74, 28, 27], Operations: ['26+1=27'] Exploring Operation: 28-27=1, Resulting Numbers: [74, 1] Generated Node #3: [74, 1] from Operation: 28-27=1 Current State: 74:[74, 1], Operations: ['26+1=27', '28-27=1'] Exploring Operation: 74*1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 91, 48, 58, 12 ]
27
[ "91-48=43", "58+12=70", "70-43=27" ]
Current State: 27:[91, 48, 58, 12], Operations: [] Exploring Operation: 91-48=43, Resulting Numbers: [58, 12, 43] Generated Node #2: [58, 12, 43] from Operation: 91-48=43 Current State: 27:[58, 12, 43], Operations: ['91-48=43'] Exploring Operation: 58+12=70, Resulting Numbers: [43, 70] Generated Node #3: [43, 70] from Operation: 58+12=70 Current State: 27:[43, 70], Operations: ['91-48=43', '58+12=70'] Exploring Operation: 70-43=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 38, 88, 30, 36 ]
59
[ "38-36=2", "88+30=118", "118/2=59" ]
Current State: 59:[38, 88, 30, 36], Operations: [] Exploring Operation: 38-36=2, Resulting Numbers: [88, 30, 2] Generated Node #2: [88, 30, 2] from Operation: 38-36=2 Current State: 59:[88, 30, 2], Operations: ['38-36=2'] Exploring Operation: 88+30=118, Resulting Numbers: [2, 118] Generated Node #3: [2, 118] from Operation: 88+30=118 Current State: 59:[2, 118], Operations: ['38-36=2', '88+30=118'] Exploring Operation: 118/2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 71, 81, 35, 34 ]
83
[ "71+81=152", "35+34=69", "152-69=83" ]
Current State: 83:[71, 81, 35, 34], Operations: [] Exploring Operation: 71+81=152, Resulting Numbers: [35, 34, 152] Generated Node #2: [35, 34, 152] from Operation: 71+81=152 Current State: 83:[35, 34, 152], Operations: ['71+81=152'] Exploring Operation: 35+34=69, Resulting Numbers: [152, 69] Generated Node #3: [152, 69] from Operation: 35+34=69 Current State: 83:[152, 69], Operations: ['71+81=152', '35+34=69'] Exploring Operation: 152-69=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 55, 53, 47, 2 ]
98
[ "55-53=2", "47+2=49", "2*49=98" ]
Current State: 98:[55, 53, 47, 2], Operations: [] Exploring Operation: 55-53=2, Resulting Numbers: [47, 2, 2] Generated Node #2: [47, 2, 2] from Operation: 55-53=2 Current State: 98:[47, 2, 2], Operations: ['55-53=2'] Exploring Operation: 47+2=49, Resulting Numbers: [49] 49,98 equal: Goal Reached Exploring Operation: 2*49=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 75, 7, 16, 22 ]
21
[ "22-7=15", "75/15=5", "16+5=21" ]
Current State: 21:[75, 7, 16, 22], Operations: [] Exploring Operation: 22-7=15, Resulting Numbers: [75, 16, 15] Generated Node #2: [75, 16, 15] from Operation: 22-7=15 Current State: 21:[75, 16, 15], Operations: ['22-7=15'] Exploring Operation: 75/15=5, Resulting Numbers: [16, 5] Generated Node #3: [16, 5] from Operation: 75/15=5 Current State: 21:[16, 5], Operations: ['22-7=15', '75/15=5'] Exploring Operation: 16+5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 47, 50, 8, 27 ]
73
[ "50-47=3", "27*3=81", "81-8=73" ]
Current State: 73:[47, 50, 8, 27], Operations: [] Exploring Operation: 50-47=3, Resulting Numbers: [8, 27, 3] Generated Node #2: [8, 27, 3] from Operation: 50-47=3 Current State: 73:[8, 27, 3], Operations: ['50-47=3'] Exploring Operation: 27*3=81, Resulting Numbers: [8, 81] Generated Node #3: [8, 81] from Operation: 27*3=81 Current State: 73:[8, 81], Operations: ['50-47=3', '27*3=81'] Exploring Operation: 81-8=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 55, 13, 52, 48 ]
99
[ "55+48=103", "52/13=4", "103-4=99" ]
Current State: 99:[55, 13, 52, 48], Operations: [] Exploring Operation: 55+48=103, Resulting Numbers: [13, 52, 103] Generated Node #2: [13, 52, 103] from Operation: 55+48=103 Current State: 99:[13, 52, 103], Operations: ['55+48=103'] Exploring Operation: 52/13=4, Resulting Numbers: [103, 4] Generated Node #3: [103, 4] from Operation: 52/13=4 Current State: 99:[103, 4], Operations: ['55+48=103', '52/13=4'] Exploring Operation: 103-4=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 5, 5, 49, 8 ]
32
[ "5*5=25", "49+8=57", "57-25=32" ]
Current State: 32:[5, 5, 49, 8], Operations: [] Exploring Operation: 5*5=25, Resulting Numbers: [49, 8, 25] Generated Node #2: [49, 8, 25] from Operation: 5*5=25 Current State: 32:[49, 8, 25], Operations: ['5*5=25'] Exploring Operation: 49+8=57, Resulting Numbers: [25, 57] Generated Node #3: [25, 57] from Operation: 49+8=57 Current State: 32:[25, 57], Operations: ['5*5=25', '49+8=57'] Exploring Operation: 57-25=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 44, 3, 51, 3 ]
90
[ "44+3=47", "3*47=141", "141-51=90" ]
Current State: 90:[44, 3, 51, 3], Operations: [] Exploring Operation: 44+3=47, Resulting Numbers: [51, 47] Generated Node #2: [51, 47] from Operation: 44+3=47 Current State: 90:[51, 47], Operations: ['44+3=47'] Exploring Operation: 3*47=141, Resulting Numbers: [51, 141] Generated Node #3: [51, 141] from Operation: 3*47=141 Current State: 90:[51, 141], Operations: ['44+3=47', '3*47=141'] Exploring Operation: 141-51=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 78, 81, 69, 90 ]
63
[ "81-78=3", "90-69=21", "3*21=63" ]
Current State: 63:[78, 81, 69, 90], Operations: [] Exploring Operation: 81-78=3, Resulting Numbers: [69, 90, 3] Generated Node #2: [69, 90, 3] from Operation: 81-78=3 Current State: 63:[69, 90, 3], Operations: ['81-78=3'] Exploring Operation: 90-69=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 90-69=21 Current State: 63:[3, 21], Operations: ['81-78=3', '90-69=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 13, 66, 15, 48 ]
36
[ "15-13=2", "66-48=18", "2*18=36" ]
Current State: 36:[13, 66, 15, 48], Operations: [] Exploring Operation: 15-13=2, Resulting Numbers: [66, 48, 2] Generated Node #2: [66, 48, 2] from Operation: 15-13=2 Current State: 36:[66, 48, 2], Operations: ['15-13=2'] Exploring Operation: 66-48=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 66-48=18 Current State: 36:[2, 18], Operations: ['15-13=2', '66-48=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 5, 6, 48, 54 ]
34
[ "48-5=43", "54/6=9", "43-9=34" ]
Current State: 34:[5, 6, 48, 54], Operations: [] Exploring Operation: 48-5=43, Resulting Numbers: [6, 54, 43] Generated Node #2: [6, 54, 43] from Operation: 48-5=43 Current State: 34:[6, 54, 43], Operations: ['48-5=43'] Exploring Operation: 54/6=9, Resulting Numbers: [43, 9] Generated Node #3: [43, 9] from Operation: 54/6=9 Current State: 34:[43, 9], Operations: ['48-5=43', '54/6=9'] Exploring Operation: 43-9=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 8, 23, 2, 19 ]
57
[ "19-8=11", "23*2=46", "11+46=57" ]
Current State: 57:[8, 23, 2, 19], Operations: [] Exploring Operation: 19-8=11, Resulting Numbers: [23, 2, 11] Generated Node #2: [23, 2, 11] from Operation: 19-8=11 Current State: 57:[23, 2, 11], Operations: ['19-8=11'] Exploring Operation: 23*2=46, Resulting Numbers: [11, 46] Generated Node #3: [11, 46] from Operation: 23*2=46 Current State: 57:[11, 46], Operations: ['19-8=11', '23*2=46'] Exploring Operation: 11+46=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 20, 49, 23, 42 ]
49
[ "20+23=43", "43-42=1", "49*1=49" ]
Current State: 49:[20, 49, 23, 42], Operations: [] Exploring Operation: 20+23=43, Resulting Numbers: [49, 42, 43] Generated Node #2: [49, 42, 43] from Operation: 20+23=43 Current State: 49:[49, 42, 43], Operations: ['20+23=43'] Exploring Operation: 43-42=1, Resulting Numbers: [49, 1] Generated Node #3: [49, 1] from Operation: 43-42=1 Current State: 49:[49, 1], Operations: ['20+23=43', '43-42=1'] Exploring Operation: 49*1=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 76, 55, 26, 91 ]
86
[ "76-55=21", "91-26=65", "21+65=86" ]
Current State: 86:[76, 55, 26, 91], Operations: [] Exploring Operation: 76-55=21, Resulting Numbers: [26, 91, 21] Generated Node #2: [26, 91, 21] from Operation: 76-55=21 Current State: 86:[26, 91, 21], Operations: ['76-55=21'] Exploring Operation: 91-26=65, Resulting Numbers: [21, 65] Generated Node #3: [21, 65] from Operation: 91-26=65 Current State: 86:[21, 65], Operations: ['76-55=21', '91-26=65'] Exploring Operation: 21+65=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 20, 33, 43, 98 ]
42
[ "33-20=13", "98-43=55", "55-13=42" ]
Current State: 42:[20, 33, 43, 98], Operations: [] Exploring Operation: 33-20=13, Resulting Numbers: [43, 98, 13] Generated Node #2: [43, 98, 13] from Operation: 33-20=13 Current State: 42:[43, 98, 13], Operations: ['33-20=13'] Exploring Operation: 98-43=55, Resulting Numbers: [13, 55] Generated Node #3: [13, 55] from Operation: 98-43=55 Current State: 42:[13, 55], Operations: ['33-20=13', '98-43=55'] Exploring Operation: 55-13=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 16, 24, 3, 76 ]
74
[ "16*3=48", "48/24=2", "76-2=74" ]
Current State: 74:[16, 24, 3, 76], Operations: [] Exploring Operation: 16*3=48, Resulting Numbers: [24, 76, 48] Generated Node #2: [24, 76, 48] from Operation: 16*3=48 Current State: 74:[24, 76, 48], Operations: ['16*3=48'] Exploring Operation: 48/24=2, Resulting Numbers: [76, 2] Generated Node #3: [76, 2] from Operation: 48/24=2 Current State: 74:[76, 2], Operations: ['16*3=48', '48/24=2'] Exploring Operation: 76-2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 63, 77, 31, 84 ]
22
[ "84-77=7", "63/7=9", "31-9=22" ]
Current State: 22:[63, 77, 31, 84], Operations: [] Exploring Operation: 84-77=7, Resulting Numbers: [63, 31, 7] Generated Node #2: [63, 31, 7] from Operation: 84-77=7 Current State: 22:[63, 31, 7], Operations: ['84-77=7'] Exploring Operation: 63/7=9, Resulting Numbers: [31, 9] Generated Node #3: [31, 9] from Operation: 63/7=9 Current State: 22:[31, 9], Operations: ['84-77=7', '63/7=9'] Exploring Operation: 31-9=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 78, 86, 36, 19 ]
80
[ "78+36=114", "114/19=6", "86-6=80" ]
Current State: 80:[78, 86, 36, 19], Operations: [] Exploring Operation: 78+36=114, Resulting Numbers: [86, 19, 114] Generated Node #2: [86, 19, 114] from Operation: 78+36=114 Current State: 80:[86, 19, 114], Operations: ['78+36=114'] Exploring Operation: 114/19=6, Resulting Numbers: [86, 6] Generated Node #3: [86, 6] from Operation: 114/19=6 Current State: 80:[86, 6], Operations: ['78+36=114', '114/19=6'] Exploring Operation: 86-6=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 25, 12, 33, 25 ]
71
[ "25-12=13", "33+25=58", "13+58=71" ]
Current State: 71:[25, 12, 33, 25], Operations: [] Exploring Operation: 25-12=13, Resulting Numbers: [33, 13] Generated Node #2: [33, 13] from Operation: 25-12=13 Current State: 71:[33, 13], Operations: ['25-12=13'] Exploring Operation: 33+25=58, Resulting Numbers: [13, 58] Generated Node #3: [13, 58] from Operation: 33+25=58 Current State: 71:[13, 58], Operations: ['25-12=13', '33+25=58'] Exploring Operation: 13+58=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 2, 75, 16, 15 ]
19
[ "16-2=14", "75/15=5", "14+5=19" ]
Current State: 19:[2, 75, 16, 15], Operations: [] Exploring Operation: 16-2=14, Resulting Numbers: [75, 15, 14] Generated Node #2: [75, 15, 14] from Operation: 16-2=14 Current State: 19:[75, 15, 14], Operations: ['16-2=14'] Exploring Operation: 75/15=5, Resulting Numbers: [14, 5] Generated Node #3: [14, 5] from Operation: 75/15=5 Current State: 19:[14, 5], Operations: ['16-2=14', '75/15=5'] Exploring Operation: 14+5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 6, 73, 83, 83 ]
57
[ "73+83=156", "156/6=26", "83-26=57" ]
Current State: 57:[6, 73, 83, 83], Operations: [] Exploring Operation: 73+83=156, Resulting Numbers: [6, 156] Generated Node #2: [6, 156] from Operation: 73+83=156 Current State: 57:[6, 156], Operations: ['73+83=156'] Exploring Operation: 156/6=26, Resulting Numbers: [26] 26,57 equal: Goal Reached Exploring Operation: 83-26=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 18, 62, 65, 32 ]
22
[ "65-62=3", "18*3=54", "54-32=22" ]
Current State: 22:[18, 62, 65, 32], Operations: [] Exploring Operation: 65-62=3, Resulting Numbers: [18, 32, 3] Generated Node #2: [18, 32, 3] from Operation: 65-62=3 Current State: 22:[18, 32, 3], Operations: ['65-62=3'] Exploring Operation: 18*3=54, Resulting Numbers: [32, 54] Generated Node #3: [32, 54] from Operation: 18*3=54 Current State: 22:[32, 54], Operations: ['65-62=3', '18*3=54'] Exploring Operation: 54-32=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 23, 17, 15, 21 ]
30
[ "23-17=6", "15+21=36", "36-6=30" ]
Current State: 30:[23, 17, 15, 21], Operations: [] Exploring Operation: 23-17=6, Resulting Numbers: [15, 21, 6] Generated Node #2: [15, 21, 6] from Operation: 23-17=6 Current State: 30:[15, 21, 6], Operations: ['23-17=6'] Exploring Operation: 15+21=36, Resulting Numbers: [6, 36] Generated Node #3: [6, 36] from Operation: 15+21=36 Current State: 30:[6, 36], Operations: ['23-17=6', '15+21=36'] Exploring Operation: 36-6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 9, 63, 90, 3 ]
30
[ "9+90=99", "99/3=33", "63-33=30" ]
Current State: 30:[9, 63, 90, 3], Operations: [] Exploring Operation: 9+90=99, Resulting Numbers: [63, 3, 99] Generated Node #2: [63, 3, 99] from Operation: 9+90=99 Current State: 30:[63, 3, 99], Operations: ['9+90=99'] Exploring Operation: 99/3=33, Resulting Numbers: [63, 33] Generated Node #3: [63, 33] from Operation: 99/3=33 Current State: 30:[63, 33], Operations: ['9+90=99', '99/3=33'] Exploring Operation: 63-33=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 1, 90, 86, 7 ]
99
[ "1+90=91", "91/7=13", "86+13=99" ]
Current State: 99:[1, 90, 86, 7], Operations: [] Exploring Operation: 1+90=91, Resulting Numbers: [86, 7, 91] Generated Node #2: [86, 7, 91] from Operation: 1+90=91 Current State: 99:[86, 7, 91], Operations: ['1+90=91'] Exploring Operation: 91/7=13, Resulting Numbers: [86, 13] Generated Node #3: [86, 13] from Operation: 91/7=13 Current State: 99:[86, 13], Operations: ['1+90=91', '91/7=13'] Exploring Operation: 86+13=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 6, 98, 3, 78 ]
58
[ "6/3=2", "78*2=156", "156-98=58" ]
Current State: 58:[6, 98, 3, 78], Operations: [] Exploring Operation: 6/3=2, Resulting Numbers: [98, 78, 2] Generated Node #2: [98, 78, 2] from Operation: 6/3=2 Current State: 58:[98, 78, 2], Operations: ['6/3=2'] Exploring Operation: 78*2=156, Resulting Numbers: [98, 156] Generated Node #3: [98, 156] from Operation: 78*2=156 Current State: 58:[98, 156], Operations: ['6/3=2', '78*2=156'] Exploring Operation: 156-98=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 27, 54, 48, 33 ]
83
[ "54/27=2", "48+33=81", "2+81=83" ]
Current State: 83:[27, 54, 48, 33], Operations: [] Exploring Operation: 54/27=2, Resulting Numbers: [48, 33, 2] Generated Node #2: [48, 33, 2] from Operation: 54/27=2 Current State: 83:[48, 33, 2], Operations: ['54/27=2'] Exploring Operation: 48+33=81, Resulting Numbers: [2, 81] Generated Node #3: [2, 81] from Operation: 48+33=81 Current State: 83:[2, 81], Operations: ['54/27=2', '48+33=81'] Exploring Operation: 2+81=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 43, 35, 68, 6 ]
10
[ "43-35=8", "68-8=60", "60/6=10" ]
Current State: 10:[43, 35, 68, 6], Operations: [] Exploring Operation: 43-35=8, Resulting Numbers: [68, 6, 8] Generated Node #2: [68, 6, 8] from Operation: 43-35=8 Current State: 10:[68, 6, 8], Operations: ['43-35=8'] Exploring Operation: 68-8=60, Resulting Numbers: [6, 60] Generated Node #3: [6, 60] from Operation: 68-8=60 Current State: 10:[6, 60], Operations: ['43-35=8', '68-8=60'] Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 73, 38, 54, 88 ]
69
[ "73-38=35", "88-54=34", "35+34=69" ]
Current State: 69:[73, 38, 54, 88], Operations: [] Exploring Operation: 73-38=35, Resulting Numbers: [54, 88, 35] Generated Node #2: [54, 88, 35] from Operation: 73-38=35 Current State: 69:[54, 88, 35], Operations: ['73-38=35'] Exploring Operation: 88-54=34, Resulting Numbers: [35, 34] Generated Node #3: [35, 34] from Operation: 88-54=34 Current State: 69:[35, 34], Operations: ['73-38=35', '88-54=34'] Exploring Operation: 35+34=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 1, 24, 85, 89 ]
27
[ "24-1=23", "89-85=4", "23+4=27" ]
Current State: 27:[1, 24, 85, 89], Operations: [] Exploring Operation: 24-1=23, Resulting Numbers: [85, 89, 23] Generated Node #2: [85, 89, 23] from Operation: 24-1=23 Current State: 27:[85, 89, 23], Operations: ['24-1=23'] Exploring Operation: 89-85=4, Resulting Numbers: [23, 4] Generated Node #3: [23, 4] from Operation: 89-85=4 Current State: 27:[23, 4], Operations: ['24-1=23', '89-85=4'] Exploring Operation: 23+4=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 39, 2, 30, 71 ]
37
[ "39*2=78", "71-30=41", "78-41=37" ]
Current State: 37:[39, 2, 30, 71], Operations: [] Exploring Operation: 39*2=78, Resulting Numbers: [30, 71, 78] Generated Node #2: [30, 71, 78] from Operation: 39*2=78 Current State: 37:[30, 71, 78], Operations: ['39*2=78'] Exploring Operation: 71-30=41, Resulting Numbers: [78, 41] Generated Node #3: [78, 41] from Operation: 71-30=41 Current State: 37:[78, 41], Operations: ['39*2=78', '71-30=41'] Exploring Operation: 78-41=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 32, 64, 49, 6 ]
38
[ "49-32=17", "6*17=102", "102-64=38" ]
Current State: 38:[32, 64, 49, 6], Operations: [] Exploring Operation: 49-32=17, Resulting Numbers: [64, 6, 17] Generated Node #2: [64, 6, 17] from Operation: 49-32=17 Current State: 38:[64, 6, 17], Operations: ['49-32=17'] Exploring Operation: 6*17=102, Resulting Numbers: [64, 102] Generated Node #3: [64, 102] from Operation: 6*17=102 Current State: 38:[64, 102], Operations: ['49-32=17', '6*17=102'] Exploring Operation: 102-64=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 30, 20, 39, 64 ]
38
[ "20*39=780", "780/30=26", "64-26=38" ]
Current State: 38:[30, 20, 39, 64], Operations: [] Exploring Operation: 20*39=780, Resulting Numbers: [30, 64, 780] Generated Node #2: [30, 64, 780] from Operation: 20*39=780 Current State: 38:[30, 64, 780], Operations: ['20*39=780'] Exploring Operation: 780/30=26, Resulting Numbers: [64, 26] Generated Node #3: [64, 26] from Operation: 780/30=26 Current State: 38:[64, 26], Operations: ['20*39=780', '780/30=26'] Exploring Operation: 64-26=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 28, 57, 65, 60 ]
80
[ "28+57=85", "65-60=5", "85-5=80" ]
Current State: 80:[28, 57, 65, 60], Operations: [] Exploring Operation: 28+57=85, Resulting Numbers: [65, 60, 85] Generated Node #2: [65, 60, 85] from Operation: 28+57=85 Current State: 80:[65, 60, 85], Operations: ['28+57=85'] Exploring Operation: 65-60=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 65-60=5 Current State: 80:[85, 5], Operations: ['28+57=85', '65-60=5'] Exploring Operation: 85-5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 68, 65, 21, 71 ]
41
[ "68+65=133", "21+71=92", "133-92=41" ]
Current State: 41:[68, 65, 21, 71], Operations: [] Exploring Operation: 68+65=133, Resulting Numbers: [21, 71, 133] Generated Node #2: [21, 71, 133] from Operation: 68+65=133 Current State: 41:[21, 71, 133], Operations: ['68+65=133'] Exploring Operation: 21+71=92, Resulting Numbers: [133, 92] Generated Node #3: [133, 92] from Operation: 21+71=92 Current State: 41:[133, 92], Operations: ['68+65=133', '21+71=92'] Exploring Operation: 133-92=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 16, 9, 1, 10 ]
70
[ "16-9=7", "1*10=10", "7*10=70" ]
Current State: 70:[16, 9, 1, 10], Operations: [] Exploring Operation: 16-9=7, Resulting Numbers: [1, 10, 7] Generated Node #2: [1, 10, 7] from Operation: 16-9=7 Current State: 70:[1, 10, 7], Operations: ['16-9=7'] Exploring Operation: 1*10=10, Resulting Numbers: [7, 10] Generated Node #3: [7, 10] from Operation: 1*10=10 Current State: 70:[7, 10], Operations: ['16-9=7', '1*10=10'] Exploring Operation: 7*10=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 60, 28, 25, 20 ]
56
[ "60/20=3", "28+25=53", "3+53=56" ]
Current State: 56:[60, 28, 25, 20], Operations: [] Exploring Operation: 60/20=3, Resulting Numbers: [28, 25, 3] Generated Node #2: [28, 25, 3] from Operation: 60/20=3 Current State: 56:[28, 25, 3], Operations: ['60/20=3'] Exploring Operation: 28+25=53, Resulting Numbers: [3, 53] Generated Node #3: [3, 53] from Operation: 28+25=53 Current State: 56:[3, 53], Operations: ['60/20=3', '28+25=53'] Exploring Operation: 3+53=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 42, 2, 96, 89 ]
40
[ "42+96=138", "2*89=178", "178-138=40" ]
Current State: 40:[42, 2, 96, 89], Operations: [] Exploring Operation: 42+96=138, Resulting Numbers: [2, 89, 138] Generated Node #2: [2, 89, 138] from Operation: 42+96=138 Current State: 40:[2, 89, 138], Operations: ['42+96=138'] Exploring Operation: 2*89=178, Resulting Numbers: [138, 178] Generated Node #3: [138, 178] from Operation: 2*89=178 Current State: 40:[138, 178], Operations: ['42+96=138', '2*89=178'] Exploring Operation: 178-138=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 31, 95, 10, 40 ]
95
[ "31+10=41", "41-40=1", "95*1=95" ]
Current State: 95:[31, 95, 10, 40], Operations: [] Exploring Operation: 31+10=41, Resulting Numbers: [95, 40, 41] Generated Node #2: [95, 40, 41] from Operation: 31+10=41 Current State: 95:[95, 40, 41], Operations: ['31+10=41'] Exploring Operation: 41-40=1, Resulting Numbers: [95, 1] Generated Node #3: [95, 1] from Operation: 41-40=1 Current State: 95:[95, 1], Operations: ['31+10=41', '41-40=1'] Exploring Operation: 95*1=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 48, 15, 53, 91 ]
96
[ "15+91=106", "48*106=5088", "5088/53=96" ]
Current State: 96:[48, 15, 53, 91], Operations: [] Exploring Operation: 15+91=106, Resulting Numbers: [48, 53, 106] Generated Node #2: [48, 53, 106] from Operation: 15+91=106 Current State: 96:[48, 53, 106], Operations: ['15+91=106'] Exploring Operation: 48*106=5088, Resulting Numbers: [53, 5088] Generated Node #3: [53, 5088] from Operation: 48*106=5088 Current State: 96:[53, 5088], Operations: ['15+91=106', '48*106=5088'] Exploring Operation: 5088/53=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 19, 46, 9, 45 ]
49
[ "19*45=855", "855/9=95", "95-46=49" ]
Current State: 49:[19, 46, 9, 45], Operations: [] Exploring Operation: 19*45=855, Resulting Numbers: [46, 9, 855] Generated Node #2: [46, 9, 855] from Operation: 19*45=855 Current State: 49:[46, 9, 855], Operations: ['19*45=855'] Exploring Operation: 855/9=95, Resulting Numbers: [46, 95] Generated Node #3: [46, 95] from Operation: 855/9=95 Current State: 49:[46, 95], Operations: ['19*45=855', '855/9=95'] Exploring Operation: 95-46=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 49, 34, 74, 95 ]
86
[ "49+34=83", "74+95=169", "169-83=86" ]
Current State: 86:[49, 34, 74, 95], Operations: [] Exploring Operation: 49+34=83, Resulting Numbers: [74, 95, 83] Generated Node #2: [74, 95, 83] from Operation: 49+34=83 Current State: 86:[74, 95, 83], Operations: ['49+34=83'] Exploring Operation: 74+95=169, Resulting Numbers: [83, 169] Generated Node #3: [83, 169] from Operation: 74+95=169 Current State: 86:[83, 169], Operations: ['49+34=83', '74+95=169'] Exploring Operation: 169-83=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 59, 65, 83, 64 ]
13
[ "65-59=6", "83-64=19", "19-6=13" ]
Current State: 13:[59, 65, 83, 64], Operations: [] Exploring Operation: 65-59=6, Resulting Numbers: [83, 64, 6] Generated Node #2: [83, 64, 6] from Operation: 65-59=6 Current State: 13:[83, 64, 6], Operations: ['65-59=6'] Exploring Operation: 83-64=19, Resulting Numbers: [6, 19] Generated Node #3: [6, 19] from Operation: 83-64=19 Current State: 13:[6, 19], Operations: ['65-59=6', '83-64=19'] Exploring Operation: 19-6=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 1, 27, 58, 98 ]
66
[ "27-1=26", "98-58=40", "26+40=66" ]
Current State: 66:[1, 27, 58, 98], Operations: [] Exploring Operation: 27-1=26, Resulting Numbers: [58, 98, 26] Generated Node #2: [58, 98, 26] from Operation: 27-1=26 Current State: 66:[58, 98, 26], Operations: ['27-1=26'] Exploring Operation: 98-58=40, Resulting Numbers: [26, 40] Generated Node #3: [26, 40] from Operation: 98-58=40 Current State: 66:[26, 40], Operations: ['27-1=26', '98-58=40'] Exploring Operation: 26+40=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 26, 84, 5, 8 ]
32
[ "26-5=21", "84*8=672", "672/21=32" ]
Current State: 32:[26, 84, 5, 8], Operations: [] Exploring Operation: 26-5=21, Resulting Numbers: [84, 8, 21] Generated Node #2: [84, 8, 21] from Operation: 26-5=21 Current State: 32:[84, 8, 21], Operations: ['26-5=21'] Exploring Operation: 84*8=672, Resulting Numbers: [21, 672] Generated Node #3: [21, 672] from Operation: 84*8=672 Current State: 32:[21, 672], Operations: ['26-5=21', '84*8=672'] Exploring Operation: 672/21=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4