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
[ 73, 16, 44, 28 ]
73
[ "73+16=89", "44-28=16", "89-16=73" ]
Current State: 73:[73, 16, 44, 28], Operations: [] Exploring Operation: 73+16=89, Resulting Numbers: [44, 28, 89] Generated Node #2: [44, 28, 89] from Operation: 73+16=89 Current State: 73:[44, 28, 89], Operations: ['73+16=89'] Exploring Operation: 44-28=16, Resulting Numbers: [89, 16] Generated Node #3: [89, 16] from Operation: 44-28=16 Current State: 73:[89, 16], Operations: ['73+16=89', '44-28=16'] Exploring Operation: 89-16=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 43, 34, 65, 4 ]
16
[ "43+34=77", "65-4=61", "77-61=16" ]
Current State: 16:[43, 34, 65, 4], Operations: [] Exploring Operation: 43+34=77, Resulting Numbers: [65, 4, 77] Generated Node #2: [65, 4, 77] from Operation: 43+34=77 Current State: 16:[65, 4, 77], Operations: ['43+34=77'] Exploring Operation: 65-4=61, Resulting Numbers: [77, 61] Generated Node #3: [77, 61] from Operation: 65-4=61 Current State: 16:[77, 61], Operations: ['43+34=77', '65-4=61'] Exploring Operation: 77-61=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 23, 31, 80, 66 ]
22
[ "31-23=8", "80-66=14", "8+14=22" ]
Current State: 22:[23, 31, 80, 66], Operations: [] Exploring Operation: 31-23=8, Resulting Numbers: [80, 66, 8] Generated Node #2: [80, 66, 8] from Operation: 31-23=8 Current State: 22:[80, 66, 8], Operations: ['31-23=8'] Exploring Operation: 80-66=14, Resulting Numbers: [8, 14] Generated Node #3: [8, 14] from Operation: 80-66=14 Current State: 22:[8, 14], Operations: ['31-23=8', '80-66=14'] Exploring Operation: 8+14=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 86, 48, 45, 94 ]
52
[ "86+94=180", "180/45=4", "48+4=52" ]
Current State: 52:[86, 48, 45, 94], Operations: [] Exploring Operation: 86+94=180, Resulting Numbers: [48, 45, 180] Generated Node #2: [48, 45, 180] from Operation: 86+94=180 Current State: 52:[48, 45, 180], Operations: ['86+94=180'] Exploring Operation: 180/45=4, Resulting Numbers: [48, 4] Generated Node #3: [48, 4] from Operation: 180/45=4 Current State: 52:[48, 4], Operations: ['86+94=180', '180/45=4'] Exploring Operation: 48+4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 11, 4, 31, 17 ]
21
[ "11-4=7", "31-17=14", "7+14=21" ]
Current State: 21:[11, 4, 31, 17], Operations: [] Exploring Operation: 11-4=7, Resulting Numbers: [31, 17, 7] Generated Node #2: [31, 17, 7] from Operation: 11-4=7 Current State: 21:[31, 17, 7], Operations: ['11-4=7'] Exploring Operation: 31-17=14, Resulting Numbers: [7, 14] Generated Node #3: [7, 14] from Operation: 31-17=14 Current State: 21:[7, 14], Operations: ['11-4=7', '31-17=14'] Exploring Operation: 7+14=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 38, 4, 84, 34 ]
83
[ "38-4=34", "34/34=1", "84-1=83" ]
Current State: 83:[38, 4, 84, 34], Operations: [] Exploring Operation: 38-4=34, Resulting Numbers: [84, 34, 34] Generated Node #2: [84, 34, 34] from Operation: 38-4=34 Current State: 83:[84, 34, 34], Operations: ['38-4=34'] Exploring Operation: 34/34=1, Resulting Numbers: [84, 1] Generated Node #3: [84, 1] from Operation: 34/34=1 Current State: 83:[84, 1], Operations: ['38-4=34', '34/34=1'] Exploring Operation: 84-1=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 27, 84, 60, 27 ]
25
[ "27/27=1", "84-60=24", "1+24=25" ]
Current State: 25:[27, 84, 60, 27], Operations: [] Exploring Operation: 27/27=1, Resulting Numbers: [84, 60, 1] Generated Node #2: [84, 60, 1] from Operation: 27/27=1 Current State: 25:[84, 60, 1], Operations: ['27/27=1'] Exploring Operation: 84-60=24, Resulting Numbers: [1, 24] Generated Node #3: [1, 24] from Operation: 84-60=24 Current State: 25:[1, 24], Operations: ['27/27=1', '84-60=24'] Exploring Operation: 1+24=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 38, 70, 73, 55 ]
90
[ "38+70=108", "73-55=18", "108-18=90" ]
Current State: 90:[38, 70, 73, 55], Operations: [] Exploring Operation: 38+70=108, Resulting Numbers: [73, 55, 108] Generated Node #2: [73, 55, 108] from Operation: 38+70=108 Current State: 90:[73, 55, 108], Operations: ['38+70=108'] Exploring Operation: 73-55=18, Resulting Numbers: [108, 18] Generated Node #3: [108, 18] from Operation: 73-55=18 Current State: 90:[108, 18], Operations: ['38+70=108', '73-55=18'] Exploring Operation: 108-18=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 88, 80, 28, 21 ]
14
[ "88*21=1848", "1848/28=66", "80-66=14" ]
Current State: 14:[88, 80, 28, 21], Operations: [] Exploring Operation: 88*21=1848, Resulting Numbers: [80, 28, 1848] Generated Node #2: [80, 28, 1848] from Operation: 88*21=1848 Current State: 14:[80, 28, 1848], Operations: ['88*21=1848'] Exploring Operation: 1848/28=66, Resulting Numbers: [80, 66] Generated Node #3: [80, 66] from Operation: 1848/28=66 Current State: 14:[80, 66], Operations: ['88*21=1848', '1848/28=66'] Exploring Operation: 80-66=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 10, 74, 4, 50 ]
18
[ "74-10=64", "50-4=46", "64-46=18" ]
Current State: 18:[10, 74, 4, 50], Operations: [] Exploring Operation: 74-10=64, Resulting Numbers: [4, 50, 64] Generated Node #2: [4, 50, 64] from Operation: 74-10=64 Current State: 18:[4, 50, 64], Operations: ['74-10=64'] Exploring Operation: 50-4=46, Resulting Numbers: [64, 46] Generated Node #3: [64, 46] from Operation: 50-4=46 Current State: 18:[64, 46], Operations: ['74-10=64', '50-4=46'] Exploring Operation: 64-46=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 96, 17, 33, 96 ]
15
[ "96/96=1", "33-17=16", "16-1=15" ]
Current State: 15:[96, 17, 33, 96], Operations: [] Exploring Operation: 96/96=1, Resulting Numbers: [17, 33, 1] Generated Node #2: [17, 33, 1] from Operation: 96/96=1 Current State: 15:[17, 33, 1], Operations: ['96/96=1'] Exploring Operation: 33-17=16, Resulting Numbers: [1, 16] Generated Node #3: [1, 16] from Operation: 33-17=16 Current State: 15:[1, 16], Operations: ['96/96=1', '33-17=16'] Exploring Operation: 16-1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 97, 2, 87, 21 ]
13
[ "97-2=95", "87+21=108", "108-95=13" ]
Current State: 13:[97, 2, 87, 21], Operations: [] Exploring Operation: 97-2=95, Resulting Numbers: [87, 21, 95] Generated Node #2: [87, 21, 95] from Operation: 97-2=95 Current State: 13:[87, 21, 95], Operations: ['97-2=95'] Exploring Operation: 87+21=108, Resulting Numbers: [95, 108] Generated Node #3: [95, 108] from Operation: 87+21=108 Current State: 13:[95, 108], Operations: ['97-2=95', '87+21=108'] Exploring Operation: 108-95=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 31, 25, 64, 88 ]
77
[ "31+25=56", "88*56=4928", "4928/64=77" ]
Current State: 77:[31, 25, 64, 88], Operations: [] Exploring Operation: 31+25=56, Resulting Numbers: [64, 88, 56] Generated Node #2: [64, 88, 56] from Operation: 31+25=56 Current State: 77:[64, 88, 56], Operations: ['31+25=56'] Exploring Operation: 88*56=4928, Resulting Numbers: [64, 4928] Generated Node #3: [64, 4928] from Operation: 88*56=4928 Current State: 77:[64, 4928], Operations: ['31+25=56', '88*56=4928'] Exploring Operation: 4928/64=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 81, 26, 27, 5 ]
77
[ "81-26=55", "27-5=22", "55+22=77" ]
Current State: 77:[81, 26, 27, 5], Operations: [] Exploring Operation: 81-26=55, Resulting Numbers: [27, 5, 55] Generated Node #2: [27, 5, 55] from Operation: 81-26=55 Current State: 77:[27, 5, 55], Operations: ['81-26=55'] Exploring Operation: 27-5=22, Resulting Numbers: [55, 22] Generated Node #3: [55, 22] from Operation: 27-5=22 Current State: 77:[55, 22], Operations: ['81-26=55', '27-5=22'] Exploring Operation: 55+22=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 2, 78, 56, 53 ]
72
[ "56-53=3", "2*3=6", "78-6=72" ]
Current State: 72:[2, 78, 56, 53], Operations: [] Exploring Operation: 56-53=3, Resulting Numbers: [2, 78, 3] Generated Node #2: [2, 78, 3] from Operation: 56-53=3 Current State: 72:[2, 78, 3], Operations: ['56-53=3'] Exploring Operation: 2*3=6, Resulting Numbers: [78, 6] Generated Node #3: [78, 6] from Operation: 2*3=6 Current State: 72:[78, 6], Operations: ['56-53=3', '2*3=6'] Exploring Operation: 78-6=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 88, 12, 17, 75 ]
48
[ "88-17=71", "75-71=4", "12*4=48" ]
Current State: 48:[88, 12, 17, 75], Operations: [] Exploring Operation: 88-17=71, Resulting Numbers: [12, 75, 71] Generated Node #2: [12, 75, 71] from Operation: 88-17=71 Current State: 48:[12, 75, 71], Operations: ['88-17=71'] Exploring Operation: 75-71=4, Resulting Numbers: [12, 4] Generated Node #3: [12, 4] from Operation: 75-71=4 Current State: 48:[12, 4], Operations: ['88-17=71', '75-71=4'] Exploring Operation: 12*4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 17, 68, 72, 38 ]
56
[ "68/17=4", "72/4=18", "38+18=56" ]
Current State: 56:[17, 68, 72, 38], Operations: [] Exploring Operation: 68/17=4, Resulting Numbers: [72, 38, 4] Generated Node #2: [72, 38, 4] from Operation: 68/17=4 Current State: 56:[72, 38, 4], Operations: ['68/17=4'] Exploring Operation: 72/4=18, Resulting Numbers: [38, 18] Generated Node #3: [38, 18] from Operation: 72/4=18 Current State: 56:[38, 18], Operations: ['68/17=4', '72/4=18'] Exploring Operation: 38+18=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 50, 48, 75, 48 ]
25
[ "50+48=98", "75+48=123", "123-98=25" ]
Current State: 25:[50, 48, 75, 48], Operations: [] Exploring Operation: 50+48=98, Resulting Numbers: [75, 98] Generated Node #2: [75, 98] from Operation: 50+48=98 Current State: 25:[75, 98], Operations: ['50+48=98'] Exploring Operation: 75+48=123, Resulting Numbers: [98, 123] Generated Node #3: [98, 123] from Operation: 75+48=123 Current State: 25:[98, 123], Operations: ['50+48=98', '75+48=123'] Exploring Operation: 123-98=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 61, 61, 26, 59 ]
96
[ "61-59=2", "61*2=122", "122-26=96" ]
Current State: 96:[61, 61, 26, 59], Operations: [] Exploring Operation: 61-59=2, Resulting Numbers: [26, 2] Generated Node #2: [26, 2] from Operation: 61-59=2 Current State: 96:[26, 2], Operations: ['61-59=2'] Exploring Operation: 61*2=122, Resulting Numbers: [26, 122] Generated Node #3: [26, 122] from Operation: 61*2=122 Current State: 96:[26, 122], Operations: ['61-59=2', '61*2=122'] Exploring Operation: 122-26=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 86, 8, 42, 42 ]
94
[ "86+8=94", "42-42=0", "94+0=94" ]
Current State: 94:[86, 8, 42, 42], Operations: [] Exploring Operation: 86+8=94, Resulting Numbers: [42, 42, 94] Generated Node #2: [42, 42, 94] from Operation: 86+8=94 Current State: 94:[42, 42, 94], Operations: ['86+8=94'] Exploring Operation: 42-42=0, Resulting Numbers: [94, 0] Generated Node #3: [94, 0] from Operation: 42-42=0 Current State: 94:[94, 0], Operations: ['86+8=94', '42-42=0'] Exploring Operation: 94+0=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 18, 53, 86, 7 ]
13
[ "18*7=126", "53+86=139", "139-126=13" ]
Current State: 13:[18, 53, 86, 7], Operations: [] Exploring Operation: 18*7=126, Resulting Numbers: [53, 86, 126] Generated Node #2: [53, 86, 126] from Operation: 18*7=126 Current State: 13:[53, 86, 126], Operations: ['18*7=126'] Exploring Operation: 53+86=139, Resulting Numbers: [126, 139] Generated Node #3: [126, 139] from Operation: 53+86=139 Current State: 13:[126, 139], Operations: ['18*7=126', '53+86=139'] Exploring Operation: 139-126=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 51, 11, 22, 63 ]
45
[ "51-11=40", "22+63=85", "85-40=45" ]
Current State: 45:[51, 11, 22, 63], Operations: [] Exploring Operation: 51-11=40, Resulting Numbers: [22, 63, 40] Generated Node #2: [22, 63, 40] from Operation: 51-11=40 Current State: 45:[22, 63, 40], Operations: ['51-11=40'] Exploring Operation: 22+63=85, Resulting Numbers: [40, 85] Generated Node #3: [40, 85] from Operation: 22+63=85 Current State: 45:[40, 85], Operations: ['51-11=40', '22+63=85'] Exploring Operation: 85-40=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 74, 13, 77, 66 ]
69
[ "77-66=11", "13*11=143", "143-74=69" ]
Current State: 69:[74, 13, 77, 66], Operations: [] Exploring Operation: 77-66=11, Resulting Numbers: [74, 13, 11] Generated Node #2: [74, 13, 11] from Operation: 77-66=11 Current State: 69:[74, 13, 11], Operations: ['77-66=11'] Exploring Operation: 13*11=143, Resulting Numbers: [74, 143] Generated Node #3: [74, 143] from Operation: 13*11=143 Current State: 69:[74, 143], Operations: ['77-66=11', '13*11=143'] Exploring Operation: 143-74=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 90, 27, 17, 94 ]
14
[ "90-27=63", "94-17=77", "77-63=14" ]
Current State: 14:[90, 27, 17, 94], Operations: [] Exploring Operation: 90-27=63, Resulting Numbers: [17, 94, 63] Generated Node #2: [17, 94, 63] from Operation: 90-27=63 Current State: 14:[17, 94, 63], Operations: ['90-27=63'] Exploring Operation: 94-17=77, Resulting Numbers: [63, 77] Generated Node #3: [63, 77] from Operation: 94-17=77 Current State: 14:[63, 77], Operations: ['90-27=63', '94-17=77'] Exploring Operation: 77-63=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 26, 24, 1, 46 ]
22
[ "26-24=2", "46/2=23", "23-1=22" ]
Current State: 22:[26, 24, 1, 46], Operations: [] Exploring Operation: 26-24=2, Resulting Numbers: [1, 46, 2] Generated Node #2: [1, 46, 2] from Operation: 26-24=2 Current State: 22:[1, 46, 2], Operations: ['26-24=2'] Exploring Operation: 46/2=23, Resulting Numbers: [1, 23] Generated Node #3: [1, 23] from Operation: 46/2=23 Current State: 22:[1, 23], Operations: ['26-24=2', '46/2=23'] Exploring Operation: 23-1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 41, 16, 73, 10 ]
88
[ "41-16=25", "73-10=63", "25+63=88" ]
Current State: 88:[41, 16, 73, 10], Operations: [] Exploring Operation: 41-16=25, Resulting Numbers: [73, 10, 25] Generated Node #2: [73, 10, 25] from Operation: 41-16=25 Current State: 88:[73, 10, 25], Operations: ['41-16=25'] Exploring Operation: 73-10=63, Resulting Numbers: [25, 63] Generated Node #3: [25, 63] from Operation: 73-10=63 Current State: 88:[25, 63], Operations: ['41-16=25', '73-10=63'] Exploring Operation: 25+63=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 48, 24, 81, 41 ]
38
[ "48/24=2", "81-41=40", "40-2=38" ]
Current State: 38:[48, 24, 81, 41], Operations: [] Exploring Operation: 48/24=2, Resulting Numbers: [81, 41, 2] Generated Node #2: [81, 41, 2] from Operation: 48/24=2 Current State: 38:[81, 41, 2], Operations: ['48/24=2'] Exploring Operation: 81-41=40, Resulting Numbers: [2, 40] Generated Node #3: [2, 40] from Operation: 81-41=40 Current State: 38:[2, 40], Operations: ['48/24=2', '81-41=40'] Exploring Operation: 40-2=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 91, 98, 12, 78 ]
98
[ "91-12=79", "79-78=1", "98*1=98" ]
Current State: 98:[91, 98, 12, 78], Operations: [] Exploring Operation: 91-12=79, Resulting Numbers: [98, 78, 79] Generated Node #2: [98, 78, 79] from Operation: 91-12=79 Current State: 98:[98, 78, 79], Operations: ['91-12=79'] Exploring Operation: 79-78=1, Resulting Numbers: [98, 1] Generated Node #3: [98, 1] from Operation: 79-78=1 Current State: 98:[98, 1], Operations: ['91-12=79', '79-78=1'] Exploring Operation: 98*1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 8, 6, 54, 27 ]
64
[ "54/27=2", "6+2=8", "8*8=64" ]
Current State: 64:[8, 6, 54, 27], Operations: [] Exploring Operation: 54/27=2, Resulting Numbers: [8, 6, 2] Generated Node #2: [8, 6, 2] from Operation: 54/27=2 Current State: 64:[8, 6, 2], Operations: ['54/27=2'] Exploring Operation: 6+2=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 6+2=8 Current State: 64:[8, 8], Operations: ['54/27=2', '6+2=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 38, 4, 74, 33 ]
74
[ "38-4=34", "34-33=1", "74*1=74" ]
Current State: 74:[38, 4, 74, 33], Operations: [] Exploring Operation: 38-4=34, Resulting Numbers: [74, 33, 34] Generated Node #2: [74, 33, 34] from Operation: 38-4=34 Current State: 74:[74, 33, 34], Operations: ['38-4=34'] Exploring Operation: 34-33=1, Resulting Numbers: [74, 1] Generated Node #3: [74, 1] from Operation: 34-33=1 Current State: 74:[74, 1], Operations: ['38-4=34', '34-33=1'] Exploring Operation: 74*1=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 23, 22, 52, 10 ]
20
[ "52-22=30", "30/10=3", "23-3=20" ]
Current State: 20:[23, 22, 52, 10], Operations: [] Exploring Operation: 52-22=30, Resulting Numbers: [23, 10, 30] Generated Node #2: [23, 10, 30] from Operation: 52-22=30 Current State: 20:[23, 10, 30], Operations: ['52-22=30'] Exploring Operation: 30/10=3, Resulting Numbers: [23, 3] Generated Node #3: [23, 3] from Operation: 30/10=3 Current State: 20:[23, 3], Operations: ['52-22=30', '30/10=3'] Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 42, 7, 64, 72 ]
42
[ "7+64=71", "72-71=1", "42*1=42" ]
Current State: 42:[42, 7, 64, 72], Operations: [] Exploring Operation: 7+64=71, Resulting Numbers: [42, 72, 71] Generated Node #2: [42, 72, 71] from Operation: 7+64=71 Current State: 42:[42, 72, 71], Operations: ['7+64=71'] Exploring Operation: 72-71=1, Resulting Numbers: [42, 1] Generated Node #3: [42, 1] from Operation: 72-71=1 Current State: 42:[42, 1], Operations: ['7+64=71', '72-71=1'] Exploring Operation: 42*1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 43, 33, 76, 66 ]
66
[ "43+33=76", "76+66=142", "142-76=66" ]
Current State: 66:[43, 33, 76, 66], Operations: [] Exploring Operation: 43+33=76, Resulting Numbers: [76, 66, 76] Generated Node #2: [76, 66, 76] from Operation: 43+33=76 Current State: 66:[76, 66, 76], Operations: ['43+33=76'] Exploring Operation: 76+66=142, Resulting Numbers: [142] 142,66 equal: Goal Reached Exploring Operation: 142-76=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 75, 20, 20, 97 ]
18
[ "75+20=95", "97-20=77", "95-77=18" ]
Current State: 18:[75, 20, 20, 97], Operations: [] Exploring Operation: 75+20=95, Resulting Numbers: [97, 95] Generated Node #2: [97, 95] from Operation: 75+20=95 Current State: 18:[97, 95], Operations: ['75+20=95'] Exploring Operation: 97-20=77, Resulting Numbers: [95, 77] Generated Node #3: [95, 77] from Operation: 97-20=77 Current State: 18:[95, 77], Operations: ['75+20=95', '97-20=77'] Exploring Operation: 95-77=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 4, 6, 66, 60 ]
36
[ "6-4=2", "60/2=30", "66-30=36" ]
Current State: 36:[4, 6, 66, 60], Operations: [] Exploring Operation: 6-4=2, Resulting Numbers: [66, 60, 2] Generated Node #2: [66, 60, 2] from Operation: 6-4=2 Current State: 36:[66, 60, 2], Operations: ['6-4=2'] Exploring Operation: 60/2=30, Resulting Numbers: [66, 30] Generated Node #3: [66, 30] from Operation: 60/2=30 Current State: 36:[66, 30], Operations: ['6-4=2', '60/2=30'] Exploring Operation: 66-30=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 72, 50, 6, 53 ]
90
[ "53-50=3", "6*3=18", "72+18=90" ]
Current State: 90:[72, 50, 6, 53], Operations: [] Exploring Operation: 53-50=3, Resulting Numbers: [72, 6, 3] Generated Node #2: [72, 6, 3] from Operation: 53-50=3 Current State: 90:[72, 6, 3], Operations: ['53-50=3'] Exploring Operation: 6*3=18, Resulting Numbers: [72, 18] Generated Node #3: [72, 18] from Operation: 6*3=18 Current State: 90:[72, 18], Operations: ['53-50=3', '6*3=18'] Exploring Operation: 72+18=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 92, 81, 15, 88 ]
77
[ "92-81=11", "15*11=165", "165-88=77" ]
Current State: 77:[92, 81, 15, 88], Operations: [] Exploring Operation: 92-81=11, Resulting Numbers: [15, 88, 11] Generated Node #2: [15, 88, 11] from Operation: 92-81=11 Current State: 77:[15, 88, 11], Operations: ['92-81=11'] Exploring Operation: 15*11=165, Resulting Numbers: [88, 165] Generated Node #3: [88, 165] from Operation: 15*11=165 Current State: 77:[88, 165], Operations: ['92-81=11', '15*11=165'] Exploring Operation: 165-88=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 90, 28, 16, 68 ]
22
[ "90-28=62", "16+68=84", "84-62=22" ]
Current State: 22:[90, 28, 16, 68], Operations: [] Exploring Operation: 90-28=62, Resulting Numbers: [16, 68, 62] Generated Node #2: [16, 68, 62] from Operation: 90-28=62 Current State: 22:[16, 68, 62], Operations: ['90-28=62'] Exploring Operation: 16+68=84, Resulting Numbers: [62, 84] Generated Node #3: [62, 84] from Operation: 16+68=84 Current State: 22:[62, 84], Operations: ['90-28=62', '16+68=84'] Exploring Operation: 84-62=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 60, 97, 58, 7 ]
83
[ "60-58=2", "7*2=14", "97-14=83" ]
Current State: 83:[60, 97, 58, 7], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [97, 7, 2] Generated Node #2: [97, 7, 2] from Operation: 60-58=2 Current State: 83:[97, 7, 2], Operations: ['60-58=2'] Exploring Operation: 7*2=14, Resulting Numbers: [97, 14] Generated Node #3: [97, 14] from Operation: 7*2=14 Current State: 83:[97, 14], Operations: ['60-58=2', '7*2=14'] Exploring Operation: 97-14=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 36, 56, 6, 47 ]
33
[ "56-36=20", "6+47=53", "53-20=33" ]
Current State: 33:[36, 56, 6, 47], Operations: [] Exploring Operation: 56-36=20, Resulting Numbers: [6, 47, 20] Generated Node #2: [6, 47, 20] from Operation: 56-36=20 Current State: 33:[6, 47, 20], Operations: ['56-36=20'] Exploring Operation: 6+47=53, Resulting Numbers: [20, 53] Generated Node #3: [20, 53] from Operation: 6+47=53 Current State: 33:[20, 53], Operations: ['56-36=20', '6+47=53'] Exploring Operation: 53-20=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 67, 80, 64, 8 ]
56
[ "67-64=3", "8*3=24", "80-24=56" ]
Current State: 56:[67, 80, 64, 8], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [80, 8, 3] Generated Node #2: [80, 8, 3] from Operation: 67-64=3 Current State: 56:[80, 8, 3], Operations: ['67-64=3'] Exploring Operation: 8*3=24, Resulting Numbers: [80, 24] Generated Node #3: [80, 24] from Operation: 8*3=24 Current State: 56:[80, 24], Operations: ['67-64=3', '8*3=24'] Exploring Operation: 80-24=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 39, 52, 12, 99 ]
47
[ "99-39=60", "60/12=5", "52-5=47" ]
Current State: 47:[39, 52, 12, 99], Operations: [] Exploring Operation: 99-39=60, Resulting Numbers: [52, 12, 60] Generated Node #2: [52, 12, 60] from Operation: 99-39=60 Current State: 47:[52, 12, 60], Operations: ['99-39=60'] Exploring Operation: 60/12=5, Resulting Numbers: [52, 5] Generated Node #3: [52, 5] from Operation: 60/12=5 Current State: 47:[52, 5], Operations: ['99-39=60', '60/12=5'] Exploring Operation: 52-5=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 11, 33, 11, 20 ]
27
[ "33/11=3", "20-11=9", "3*9=27" ]
Current State: 27:[11, 33, 11, 20], Operations: [] Exploring Operation: 33/11=3, Resulting Numbers: [20, 3] Generated Node #2: [20, 3] from Operation: 33/11=3 Current State: 27:[20, 3], Operations: ['33/11=3'] Exploring Operation: 20-11=9, Resulting Numbers: [3, 9] Generated Node #3: [3, 9] from Operation: 20-11=9 Current State: 27:[3, 9], Operations: ['33/11=3', '20-11=9'] Exploring Operation: 3*9=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 9, 5, 98, 13 ]
66
[ "9*5=45", "98+13=111", "111-45=66" ]
Current State: 66:[9, 5, 98, 13], Operations: [] Exploring Operation: 9*5=45, Resulting Numbers: [98, 13, 45] Generated Node #2: [98, 13, 45] from Operation: 9*5=45 Current State: 66:[98, 13, 45], Operations: ['9*5=45'] Exploring Operation: 98+13=111, Resulting Numbers: [45, 111] Generated Node #3: [45, 111] from Operation: 98+13=111 Current State: 66:[45, 111], Operations: ['9*5=45', '98+13=111'] Exploring Operation: 111-45=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 39, 78, 28, 67 ]
22
[ "39+78=117", "28+67=95", "117-95=22" ]
Current State: 22:[39, 78, 28, 67], Operations: [] Exploring Operation: 39+78=117, Resulting Numbers: [28, 67, 117] Generated Node #2: [28, 67, 117] from Operation: 39+78=117 Current State: 22:[28, 67, 117], Operations: ['39+78=117'] Exploring Operation: 28+67=95, Resulting Numbers: [117, 95] Generated Node #3: [117, 95] from Operation: 28+67=95 Current State: 22:[117, 95], Operations: ['39+78=117', '28+67=95'] Exploring Operation: 117-95=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 42, 87, 95, 66 ]
60
[ "87*66=5742", "5742-42=5700", "5700/95=60" ]
Current State: 60:[42, 87, 95, 66], Operations: [] Exploring Operation: 87*66=5742, Resulting Numbers: [42, 95, 5742] Generated Node #2: [42, 95, 5742] from Operation: 87*66=5742 Current State: 60:[42, 95, 5742], Operations: ['87*66=5742'] Exploring Operation: 5742-42=5700, Resulting Numbers: [95, 5700] Generated Node #3: [95, 5700] from Operation: 5742-42=5700 Current State: 60:[95, 5700], Operations: ['87*66=5742', '5742-42=5700'] Exploring Operation: 5700/95=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 37, 81, 45, 32 ]
77
[ "45-37=8", "32/8=4", "81-4=77" ]
Current State: 77:[37, 81, 45, 32], Operations: [] Exploring Operation: 45-37=8, Resulting Numbers: [81, 32, 8] Generated Node #2: [81, 32, 8] from Operation: 45-37=8 Current State: 77:[81, 32, 8], Operations: ['45-37=8'] Exploring Operation: 32/8=4, Resulting Numbers: [81, 4] Generated Node #3: [81, 4] from Operation: 32/8=4 Current State: 77:[81, 4], Operations: ['45-37=8', '32/8=4'] Exploring Operation: 81-4=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 85, 15, 4, 22 ]
96
[ "85-15=70", "4+22=26", "70+26=96" ]
Current State: 96:[85, 15, 4, 22], Operations: [] Exploring Operation: 85-15=70, Resulting Numbers: [4, 22, 70] Generated Node #2: [4, 22, 70] from Operation: 85-15=70 Current State: 96:[4, 22, 70], Operations: ['85-15=70'] Exploring Operation: 4+22=26, Resulting Numbers: [70, 26] Generated Node #3: [70, 26] from Operation: 4+22=26 Current State: 96:[70, 26], Operations: ['85-15=70', '4+22=26'] Exploring Operation: 70+26=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 65, 5, 8, 6 ]
63
[ "8-5=3", "6/3=2", "65-2=63" ]
Current State: 63:[65, 5, 8, 6], Operations: [] Exploring Operation: 8-5=3, Resulting Numbers: [65, 6, 3] Generated Node #2: [65, 6, 3] from Operation: 8-5=3 Current State: 63:[65, 6, 3], Operations: ['8-5=3'] Exploring Operation: 6/3=2, Resulting Numbers: [65, 2] Generated Node #3: [65, 2] from Operation: 6/3=2 Current State: 63:[65, 2], Operations: ['8-5=3', '6/3=2'] Exploring Operation: 65-2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 13, 9, 42, 22 ]
68
[ "13-9=4", "42+22=64", "4+64=68" ]
Current State: 68:[13, 9, 42, 22], Operations: [] Exploring Operation: 13-9=4, Resulting Numbers: [42, 22, 4] Generated Node #2: [42, 22, 4] from Operation: 13-9=4 Current State: 68:[42, 22, 4], Operations: ['13-9=4'] Exploring Operation: 42+22=64, Resulting Numbers: [4, 64] Generated Node #3: [4, 64] from Operation: 42+22=64 Current State: 68:[4, 64], Operations: ['13-9=4', '42+22=64'] Exploring Operation: 4+64=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 91, 98, 1, 10 ]
71
[ "98-91=7", "10*7=70", "1+70=71" ]
Current State: 71:[91, 98, 1, 10], Operations: [] Exploring Operation: 98-91=7, Resulting Numbers: [1, 10, 7] Generated Node #2: [1, 10, 7] from Operation: 98-91=7 Current State: 71:[1, 10, 7], Operations: ['98-91=7'] Exploring Operation: 10*7=70, Resulting Numbers: [1, 70] Generated Node #3: [1, 70] from Operation: 10*7=70 Current State: 71:[1, 70], Operations: ['98-91=7', '10*7=70'] Exploring Operation: 1+70=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 21, 52, 79, 42 ]
10
[ "21+79=100", "52-42=10", "100/10=10" ]
Current State: 10:[21, 52, 79, 42], Operations: [] Exploring Operation: 21+79=100, Resulting Numbers: [52, 42, 100] Generated Node #2: [52, 42, 100] from Operation: 21+79=100 Current State: 10:[52, 42, 100], Operations: ['21+79=100'] Exploring Operation: 52-42=10, Resulting Numbers: [100, 10] Generated Node #3: [100, 10] from Operation: 52-42=10 Current State: 10:[100, 10], Operations: ['21+79=100', '52-42=10'] Exploring Operation: 100/10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 70, 29, 94, 36 ]
17
[ "70-29=41", "94-36=58", "58-41=17" ]
Current State: 17:[70, 29, 94, 36], Operations: [] Exploring Operation: 70-29=41, Resulting Numbers: [94, 36, 41] Generated Node #2: [94, 36, 41] from Operation: 70-29=41 Current State: 17:[94, 36, 41], Operations: ['70-29=41'] Exploring Operation: 94-36=58, Resulting Numbers: [41, 58] Generated Node #3: [41, 58] from Operation: 94-36=58 Current State: 17:[41, 58], Operations: ['70-29=41', '94-36=58'] Exploring Operation: 58-41=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 43, 10, 85, 70 ]
35
[ "85-43=42", "70/10=7", "42-7=35" ]
Current State: 35:[43, 10, 85, 70], Operations: [] Exploring Operation: 85-43=42, Resulting Numbers: [10, 70, 42] Generated Node #2: [10, 70, 42] from Operation: 85-43=42 Current State: 35:[10, 70, 42], Operations: ['85-43=42'] Exploring Operation: 70/10=7, Resulting Numbers: [42, 7] Generated Node #3: [42, 7] from Operation: 70/10=7 Current State: 35:[42, 7], Operations: ['85-43=42', '70/10=7'] Exploring Operation: 42-7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 18, 38, 25, 40 ]
50
[ "38-18=20", "25*40=1000", "1000/20=50" ]
Current State: 50:[18, 38, 25, 40], Operations: [] Exploring Operation: 38-18=20, Resulting Numbers: [25, 40, 20] Generated Node #2: [25, 40, 20] from Operation: 38-18=20 Current State: 50:[25, 40, 20], Operations: ['38-18=20'] Exploring Operation: 25*40=1000, Resulting Numbers: [20, 1000] Generated Node #3: [20, 1000] from Operation: 25*40=1000 Current State: 50:[20, 1000], Operations: ['38-18=20', '25*40=1000'] Exploring Operation: 1000/20=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 59, 41, 19, 52 ]
52
[ "59-41=18", "19-18=1", "52*1=52" ]
Current State: 52:[59, 41, 19, 52], Operations: [] Exploring Operation: 59-41=18, Resulting Numbers: [19, 52, 18] Generated Node #2: [19, 52, 18] from Operation: 59-41=18 Current State: 52:[19, 52, 18], Operations: ['59-41=18'] Exploring Operation: 19-18=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 19-18=1 Current State: 52:[52, 1], Operations: ['59-41=18', '19-18=1'] Exploring Operation: 52*1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 5, 1, 94, 49 ]
10
[ "94-49=45", "45/5=9", "1+9=10" ]
Current State: 10:[5, 1, 94, 49], Operations: [] Exploring Operation: 94-49=45, Resulting Numbers: [5, 1, 45] Generated Node #2: [5, 1, 45] from Operation: 94-49=45 Current State: 10:[5, 1, 45], Operations: ['94-49=45'] Exploring Operation: 45/5=9, Resulting Numbers: [1, 9] Generated Node #3: [1, 9] from Operation: 45/5=9 Current State: 10:[1, 9], Operations: ['94-49=45', '45/5=9'] Exploring Operation: 1+9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 36, 57, 74, 51 ]
12
[ "74-57=17", "36*17=612", "612/51=12" ]
Current State: 12:[36, 57, 74, 51], Operations: [] Exploring Operation: 74-57=17, Resulting Numbers: [36, 51, 17] Generated Node #2: [36, 51, 17] from Operation: 74-57=17 Current State: 12:[36, 51, 17], Operations: ['74-57=17'] Exploring Operation: 36*17=612, Resulting Numbers: [51, 612] Generated Node #3: [51, 612] from Operation: 36*17=612 Current State: 12:[51, 612], Operations: ['74-57=17', '36*17=612'] Exploring Operation: 612/51=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 20, 99, 35, 60 ]
16
[ "99-20=79", "35+60=95", "95-79=16" ]
Current State: 16:[20, 99, 35, 60], Operations: [] Exploring Operation: 99-20=79, Resulting Numbers: [35, 60, 79] Generated Node #2: [35, 60, 79] from Operation: 99-20=79 Current State: 16:[35, 60, 79], Operations: ['99-20=79'] Exploring Operation: 35+60=95, Resulting Numbers: [79, 95] Generated Node #3: [79, 95] from Operation: 35+60=95 Current State: 16:[79, 95], Operations: ['99-20=79', '35+60=95'] Exploring Operation: 95-79=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 27, 45, 44, 54 ]
47
[ "45-27=18", "54/18=3", "44+3=47" ]
Current State: 47:[27, 45, 44, 54], Operations: [] Exploring Operation: 45-27=18, Resulting Numbers: [44, 54, 18] Generated Node #2: [44, 54, 18] from Operation: 45-27=18 Current State: 47:[44, 54, 18], Operations: ['45-27=18'] Exploring Operation: 54/18=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 54/18=3 Current State: 47:[44, 3], Operations: ['45-27=18', '54/18=3'] Exploring Operation: 44+3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 18, 52, 41, 24 ]
66
[ "24-18=6", "52-41=11", "6*11=66" ]
Current State: 66:[18, 52, 41, 24], Operations: [] Exploring Operation: 24-18=6, Resulting Numbers: [52, 41, 6] Generated Node #2: [52, 41, 6] from Operation: 24-18=6 Current State: 66:[52, 41, 6], Operations: ['24-18=6'] Exploring Operation: 52-41=11, Resulting Numbers: [6, 11] Generated Node #3: [6, 11] from Operation: 52-41=11 Current State: 66:[6, 11], Operations: ['24-18=6', '52-41=11'] Exploring Operation: 6*11=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 75, 63, 49, 30 ]
35
[ "75-30=45", "49*45=2205", "2205/63=35" ]
Current State: 35:[75, 63, 49, 30], Operations: [] Exploring Operation: 75-30=45, Resulting Numbers: [63, 49, 45] Generated Node #2: [63, 49, 45] from Operation: 75-30=45 Current State: 35:[63, 49, 45], Operations: ['75-30=45'] Exploring Operation: 49*45=2205, Resulting Numbers: [63, 2205] Generated Node #3: [63, 2205] from Operation: 49*45=2205 Current State: 35:[63, 2205], Operations: ['75-30=45', '49*45=2205'] Exploring Operation: 2205/63=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 31, 9, 67, 19 ]
88
[ "31+9=40", "67-19=48", "40+48=88" ]
Current State: 88:[31, 9, 67, 19], Operations: [] Exploring Operation: 31+9=40, Resulting Numbers: [67, 19, 40] Generated Node #2: [67, 19, 40] from Operation: 31+9=40 Current State: 88:[67, 19, 40], Operations: ['31+9=40'] Exploring Operation: 67-19=48, Resulting Numbers: [40, 48] Generated Node #3: [40, 48] from Operation: 67-19=48 Current State: 88:[40, 48], Operations: ['31+9=40', '67-19=48'] Exploring Operation: 40+48=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 10, 95, 5, 7 ]
13
[ "5*7=35", "95+35=130", "130/10=13" ]
Current State: 13:[10, 95, 5, 7], Operations: [] Exploring Operation: 5*7=35, Resulting Numbers: [10, 95, 35] Generated Node #2: [10, 95, 35] from Operation: 5*7=35 Current State: 13:[10, 95, 35], Operations: ['5*7=35'] Exploring Operation: 95+35=130, Resulting Numbers: [10, 130] Generated Node #3: [10, 130] from Operation: 95+35=130 Current State: 13:[10, 130], Operations: ['5*7=35', '95+35=130'] Exploring Operation: 130/10=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 2, 31, 30, 22 ]
48
[ "31-22=9", "2*9=18", "30+18=48" ]
Current State: 48:[2, 31, 30, 22], Operations: [] Exploring Operation: 31-22=9, Resulting Numbers: [2, 30, 9] Generated Node #2: [2, 30, 9] from Operation: 31-22=9 Current State: 48:[2, 30, 9], Operations: ['31-22=9'] Exploring Operation: 2*9=18, Resulting Numbers: [30, 18] Generated Node #3: [30, 18] from Operation: 2*9=18 Current State: 48:[30, 18], Operations: ['31-22=9', '2*9=18'] Exploring Operation: 30+18=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 38, 20, 11, 2 ]
10
[ "38/2=19", "20-11=9", "19-9=10" ]
Current State: 10:[38, 20, 11, 2], Operations: [] Exploring Operation: 38/2=19, Resulting Numbers: [20, 11, 19] Generated Node #2: [20, 11, 19] from Operation: 38/2=19 Current State: 10:[20, 11, 19], Operations: ['38/2=19'] Exploring Operation: 20-11=9, Resulting Numbers: [19, 9] Generated Node #3: [19, 9] from Operation: 20-11=9 Current State: 10:[19, 9], Operations: ['38/2=19', '20-11=9'] Exploring Operation: 19-9=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 33, 2, 6, 12 ]
54
[ "33+6=39", "39-12=27", "2*27=54" ]
Current State: 54:[33, 2, 6, 12], Operations: [] Exploring Operation: 33+6=39, Resulting Numbers: [2, 12, 39] Generated Node #2: [2, 12, 39] from Operation: 33+6=39 Current State: 54:[2, 12, 39], Operations: ['33+6=39'] Exploring Operation: 39-12=27, Resulting Numbers: [2, 27] Generated Node #3: [2, 27] from Operation: 39-12=27 Current State: 54:[2, 27], Operations: ['33+6=39', '39-12=27'] Exploring Operation: 2*27=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 23, 51, 30, 53 ]
76
[ "53-51=2", "23*2=46", "30+46=76" ]
Current State: 76:[23, 51, 30, 53], Operations: [] Exploring Operation: 53-51=2, Resulting Numbers: [23, 30, 2] Generated Node #2: [23, 30, 2] from Operation: 53-51=2 Current State: 76:[23, 30, 2], Operations: ['53-51=2'] Exploring Operation: 23*2=46, Resulting Numbers: [30, 46] Generated Node #3: [30, 46] from Operation: 23*2=46 Current State: 76:[30, 46], Operations: ['53-51=2', '23*2=46'] Exploring Operation: 30+46=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 15, 92, 2, 18 ]
57
[ "92-15=77", "2+18=20", "77-20=57" ]
Current State: 57:[15, 92, 2, 18], Operations: [] Exploring Operation: 92-15=77, Resulting Numbers: [2, 18, 77] Generated Node #2: [2, 18, 77] from Operation: 92-15=77 Current State: 57:[2, 18, 77], Operations: ['92-15=77'] Exploring Operation: 2+18=20, Resulting Numbers: [77, 20] Generated Node #3: [77, 20] from Operation: 2+18=20 Current State: 57:[77, 20], Operations: ['92-15=77', '2+18=20'] Exploring Operation: 77-20=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 60, 95, 27, 80 ]
48
[ "60+95=155", "27+80=107", "155-107=48" ]
Current State: 48:[60, 95, 27, 80], Operations: [] Exploring Operation: 60+95=155, Resulting Numbers: [27, 80, 155] Generated Node #2: [27, 80, 155] from Operation: 60+95=155 Current State: 48:[27, 80, 155], Operations: ['60+95=155'] Exploring Operation: 27+80=107, Resulting Numbers: [155, 107] Generated Node #3: [155, 107] from Operation: 27+80=107 Current State: 48:[155, 107], Operations: ['60+95=155', '27+80=107'] Exploring Operation: 155-107=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 59, 29, 61, 21 ]
48
[ "59+29=88", "61-21=40", "88-40=48" ]
Current State: 48:[59, 29, 61, 21], Operations: [] Exploring Operation: 59+29=88, Resulting Numbers: [61, 21, 88] Generated Node #2: [61, 21, 88] from Operation: 59+29=88 Current State: 48:[61, 21, 88], Operations: ['59+29=88'] Exploring Operation: 61-21=40, Resulting Numbers: [88, 40] Generated Node #3: [88, 40] from Operation: 61-21=40 Current State: 48:[88, 40], Operations: ['59+29=88', '61-21=40'] Exploring Operation: 88-40=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 26, 2, 67, 78 ]
67
[ "78/26=3", "3-2=1", "67*1=67" ]
Current State: 67:[26, 2, 67, 78], Operations: [] Exploring Operation: 78/26=3, Resulting Numbers: [2, 67, 3] Generated Node #2: [2, 67, 3] from Operation: 78/26=3 Current State: 67:[2, 67, 3], Operations: ['78/26=3'] Exploring Operation: 3-2=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 3-2=1 Current State: 67:[67, 1], Operations: ['78/26=3', '3-2=1'] Exploring Operation: 67*1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 92, 59, 38, 8 ]
61
[ "38+8=46", "92/46=2", "59+2=61" ]
Current State: 61:[92, 59, 38, 8], Operations: [] Exploring Operation: 38+8=46, Resulting Numbers: [92, 59, 46] Generated Node #2: [92, 59, 46] from Operation: 38+8=46 Current State: 61:[92, 59, 46], Operations: ['38+8=46'] Exploring Operation: 92/46=2, Resulting Numbers: [59, 2] Generated Node #3: [59, 2] from Operation: 92/46=2 Current State: 61:[59, 2], Operations: ['38+8=46', '92/46=2'] Exploring Operation: 59+2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 58, 80, 24, 74 ]
28
[ "80-58=22", "74-24=50", "50-22=28" ]
Current State: 28:[58, 80, 24, 74], Operations: [] Exploring Operation: 80-58=22, Resulting Numbers: [24, 74, 22] Generated Node #2: [24, 74, 22] from Operation: 80-58=22 Current State: 28:[24, 74, 22], Operations: ['80-58=22'] Exploring Operation: 74-24=50, Resulting Numbers: [22, 50] Generated Node #3: [22, 50] from Operation: 74-24=50 Current State: 28:[22, 50], Operations: ['80-58=22', '74-24=50'] Exploring Operation: 50-22=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 59, 5, 99, 70 ]
93
[ "59+5=64", "99-70=29", "64+29=93" ]
Current State: 93:[59, 5, 99, 70], Operations: [] Exploring Operation: 59+5=64, Resulting Numbers: [99, 70, 64] Generated Node #2: [99, 70, 64] from Operation: 59+5=64 Current State: 93:[99, 70, 64], Operations: ['59+5=64'] Exploring Operation: 99-70=29, Resulting Numbers: [64, 29] Generated Node #3: [64, 29] from Operation: 99-70=29 Current State: 93:[64, 29], Operations: ['59+5=64', '99-70=29'] Exploring Operation: 64+29=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 85, 22, 31, 30 ]
63
[ "85-22=63", "31-30=1", "63*1=63" ]
Current State: 63:[85, 22, 31, 30], Operations: [] Exploring Operation: 85-22=63, Resulting Numbers: [31, 30, 63] Generated Node #2: [31, 30, 63] from Operation: 85-22=63 Current State: 63:[31, 30, 63], Operations: ['85-22=63'] Exploring Operation: 31-30=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 31-30=1 Current State: 63:[63, 1], Operations: ['85-22=63', '31-30=1'] Exploring Operation: 63*1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 61, 21, 53, 18 ]
15
[ "61*18=1098", "21*53=1113", "1113-1098=15" ]
Current State: 15:[61, 21, 53, 18], Operations: [] Exploring Operation: 61*18=1098, Resulting Numbers: [21, 53, 1098] Generated Node #2: [21, 53, 1098] from Operation: 61*18=1098 Current State: 15:[21, 53, 1098], Operations: ['61*18=1098'] Exploring Operation: 21*53=1113, Resulting Numbers: [1098, 1113] Generated Node #3: [1098, 1113] from Operation: 21*53=1113 Current State: 15:[1098, 1113], Operations: ['61*18=1098', '21*53=1113'] Exploring Operation: 1113-1098=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 1, 73, 26, 65 ]
34
[ "1*73=73", "65-26=39", "73-39=34" ]
Current State: 34:[1, 73, 26, 65], Operations: [] Exploring Operation: 1*73=73, Resulting Numbers: [26, 65, 73] Generated Node #2: [26, 65, 73] from Operation: 1*73=73 Current State: 34:[26, 65, 73], Operations: ['1*73=73'] Exploring Operation: 65-26=39, Resulting Numbers: [73, 39] Generated Node #3: [73, 39] from Operation: 65-26=39 Current State: 34:[73, 39], Operations: ['1*73=73', '65-26=39'] Exploring Operation: 73-39=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 16, 86, 91, 25 ]
83
[ "91-16=75", "75/25=3", "86-3=83" ]
Current State: 83:[16, 86, 91, 25], Operations: [] Exploring Operation: 91-16=75, Resulting Numbers: [86, 25, 75] Generated Node #2: [86, 25, 75] from Operation: 91-16=75 Current State: 83:[86, 25, 75], Operations: ['91-16=75'] Exploring Operation: 75/25=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 75/25=3 Current State: 83:[86, 3], Operations: ['91-16=75', '75/25=3'] Exploring Operation: 86-3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 69, 47, 29, 62 ]
25
[ "69+47=116", "29+62=91", "116-91=25" ]
Current State: 25:[69, 47, 29, 62], Operations: [] Exploring Operation: 69+47=116, Resulting Numbers: [29, 62, 116] Generated Node #2: [29, 62, 116] from Operation: 69+47=116 Current State: 25:[29, 62, 116], Operations: ['69+47=116'] Exploring Operation: 29+62=91, Resulting Numbers: [116, 91] Generated Node #3: [116, 91] from Operation: 29+62=91 Current State: 25:[116, 91], Operations: ['69+47=116', '29+62=91'] Exploring Operation: 116-91=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 69, 84, 21, 40 ]
92
[ "69+84=153", "21+40=61", "153-61=92" ]
Current State: 92:[69, 84, 21, 40], Operations: [] Exploring Operation: 69+84=153, Resulting Numbers: [21, 40, 153] Generated Node #2: [21, 40, 153] from Operation: 69+84=153 Current State: 92:[21, 40, 153], Operations: ['69+84=153'] Exploring Operation: 21+40=61, Resulting Numbers: [153, 61] Generated Node #3: [153, 61] from Operation: 21+40=61 Current State: 92:[153, 61], Operations: ['69+84=153', '21+40=61'] Exploring Operation: 153-61=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 85, 77, 35, 5 ]
32
[ "85-77=8", "35+5=40", "40-8=32" ]
Current State: 32:[85, 77, 35, 5], Operations: [] Exploring Operation: 85-77=8, Resulting Numbers: [35, 5, 8] Generated Node #2: [35, 5, 8] from Operation: 85-77=8 Current State: 32:[35, 5, 8], Operations: ['85-77=8'] Exploring Operation: 35+5=40, Resulting Numbers: [8, 40] Generated Node #3: [8, 40] from Operation: 35+5=40 Current State: 32:[8, 40], Operations: ['85-77=8', '35+5=40'] Exploring Operation: 40-8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 16, 55, 33, 42 ]
62
[ "16+55=71", "42-33=9", "71-9=62" ]
Current State: 62:[16, 55, 33, 42], Operations: [] Exploring Operation: 16+55=71, Resulting Numbers: [33, 42, 71] Generated Node #2: [33, 42, 71] from Operation: 16+55=71 Current State: 62:[33, 42, 71], Operations: ['16+55=71'] Exploring Operation: 42-33=9, Resulting Numbers: [71, 9] Generated Node #3: [71, 9] from Operation: 42-33=9 Current State: 62:[71, 9], Operations: ['16+55=71', '42-33=9'] Exploring Operation: 71-9=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 87, 39, 15, 51 ]
45
[ "87-39=48", "51-48=3", "15*3=45" ]
Current State: 45:[87, 39, 15, 51], Operations: [] Exploring Operation: 87-39=48, Resulting Numbers: [15, 51, 48] Generated Node #2: [15, 51, 48] from Operation: 87-39=48 Current State: 45:[15, 51, 48], Operations: ['87-39=48'] Exploring Operation: 51-48=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 51-48=3 Current State: 45:[15, 3], Operations: ['87-39=48', '51-48=3'] Exploring Operation: 15*3=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 26, 31, 10, 66 ]
61
[ "31-26=5", "66-10=56", "5+56=61" ]
Current State: 61:[26, 31, 10, 66], Operations: [] Exploring Operation: 31-26=5, Resulting Numbers: [10, 66, 5] Generated Node #2: [10, 66, 5] from Operation: 31-26=5 Current State: 61:[10, 66, 5], Operations: ['31-26=5'] Exploring Operation: 66-10=56, Resulting Numbers: [5, 56] Generated Node #3: [5, 56] from Operation: 66-10=56 Current State: 61:[5, 56], Operations: ['31-26=5', '66-10=56'] Exploring Operation: 5+56=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 66, 42, 68, 62 ]
22
[ "66+42=108", "68+62=130", "130-108=22" ]
Current State: 22:[66, 42, 68, 62], Operations: [] Exploring Operation: 66+42=108, Resulting Numbers: [68, 62, 108] Generated Node #2: [68, 62, 108] from Operation: 66+42=108 Current State: 22:[68, 62, 108], Operations: ['66+42=108'] Exploring Operation: 68+62=130, Resulting Numbers: [108, 130] Generated Node #3: [108, 130] from Operation: 68+62=130 Current State: 22:[108, 130], Operations: ['66+42=108', '68+62=130'] Exploring Operation: 130-108=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 80, 77, 36, 16 ]
81
[ "36-16=20", "80/20=4", "77+4=81" ]
Current State: 81:[80, 77, 36, 16], Operations: [] Exploring Operation: 36-16=20, Resulting Numbers: [80, 77, 20] Generated Node #2: [80, 77, 20] from Operation: 36-16=20 Current State: 81:[80, 77, 20], Operations: ['36-16=20'] Exploring Operation: 80/20=4, Resulting Numbers: [77, 4] Generated Node #3: [77, 4] from Operation: 80/20=4 Current State: 81:[77, 4], Operations: ['36-16=20', '80/20=4'] Exploring Operation: 77+4=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 31, 75, 99, 1 ]
54
[ "75-31=44", "99-1=98", "98-44=54" ]
Current State: 54:[31, 75, 99, 1], Operations: [] Exploring Operation: 75-31=44, Resulting Numbers: [99, 1, 44] Generated Node #2: [99, 1, 44] from Operation: 75-31=44 Current State: 54:[99, 1, 44], Operations: ['75-31=44'] Exploring Operation: 99-1=98, Resulting Numbers: [44, 98] Generated Node #3: [44, 98] from Operation: 99-1=98 Current State: 54:[44, 98], Operations: ['75-31=44', '99-1=98'] Exploring Operation: 98-44=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 41, 59, 14, 20 ]
80
[ "59-41=18", "18-14=4", "20*4=80" ]
Current State: 80:[41, 59, 14, 20], Operations: [] Exploring Operation: 59-41=18, Resulting Numbers: [14, 20, 18] Generated Node #2: [14, 20, 18] from Operation: 59-41=18 Current State: 80:[14, 20, 18], Operations: ['59-41=18'] Exploring Operation: 18-14=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 18-14=4 Current State: 80:[20, 4], Operations: ['59-41=18', '18-14=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 56, 27, 16, 72 ]
26
[ "56+16=72", "72/72=1", "27-1=26" ]
Current State: 26:[56, 27, 16, 72], Operations: [] Exploring Operation: 56+16=72, Resulting Numbers: [27, 72, 72] Generated Node #2: [27, 72, 72] from Operation: 56+16=72 Current State: 26:[27, 72, 72], Operations: ['56+16=72'] Exploring Operation: 72/72=1, Resulting Numbers: [27, 1] Generated Node #3: [27, 1] from Operation: 72/72=1 Current State: 26:[27, 1], Operations: ['56+16=72', '72/72=1'] Exploring Operation: 27-1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 6, 15, 20, 60 ]
16
[ "60-20=40", "6*40=240", "240/15=16" ]
Current State: 16:[6, 15, 20, 60], Operations: [] Exploring Operation: 60-20=40, Resulting Numbers: [6, 15, 40] Generated Node #2: [6, 15, 40] from Operation: 60-20=40 Current State: 16:[6, 15, 40], Operations: ['60-20=40'] Exploring Operation: 6*40=240, Resulting Numbers: [15, 240] Generated Node #3: [15, 240] from Operation: 6*40=240 Current State: 16:[15, 240], Operations: ['60-20=40', '6*40=240'] Exploring Operation: 240/15=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 59, 71, 75, 23 ]
78
[ "59+71=130", "75-23=52", "130-52=78" ]
Current State: 78:[59, 71, 75, 23], Operations: [] Exploring Operation: 59+71=130, Resulting Numbers: [75, 23, 130] Generated Node #2: [75, 23, 130] from Operation: 59+71=130 Current State: 78:[75, 23, 130], Operations: ['59+71=130'] Exploring Operation: 75-23=52, Resulting Numbers: [130, 52] Generated Node #3: [130, 52] from Operation: 75-23=52 Current State: 78:[130, 52], Operations: ['59+71=130', '75-23=52'] Exploring Operation: 130-52=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 93, 9, 21, 51 ]
23
[ "93+9=102", "102/51=2", "21+2=23" ]
Current State: 23:[93, 9, 21, 51], Operations: [] Exploring Operation: 93+9=102, Resulting Numbers: [21, 51, 102] Generated Node #2: [21, 51, 102] from Operation: 93+9=102 Current State: 23:[21, 51, 102], Operations: ['93+9=102'] Exploring Operation: 102/51=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 102/51=2 Current State: 23:[21, 2], Operations: ['93+9=102', '102/51=2'] Exploring Operation: 21+2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 27, 65, 31, 93 ]
41
[ "65-27=38", "93/31=3", "38+3=41" ]
Current State: 41:[27, 65, 31, 93], Operations: [] Exploring Operation: 65-27=38, Resulting Numbers: [31, 93, 38] Generated Node #2: [31, 93, 38] from Operation: 65-27=38 Current State: 41:[31, 93, 38], Operations: ['65-27=38'] Exploring Operation: 93/31=3, Resulting Numbers: [38, 3] Generated Node #3: [38, 3] from Operation: 93/31=3 Current State: 41:[38, 3], Operations: ['65-27=38', '93/31=3'] Exploring Operation: 38+3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 46, 43, 45, 13 ]
61
[ "46-43=3", "45+13=58", "3+58=61" ]
Current State: 61:[46, 43, 45, 13], Operations: [] Exploring Operation: 46-43=3, Resulting Numbers: [45, 13, 3] Generated Node #2: [45, 13, 3] from Operation: 46-43=3 Current State: 61:[45, 13, 3], Operations: ['46-43=3'] Exploring Operation: 45+13=58, Resulting Numbers: [3, 58] Generated Node #3: [3, 58] from Operation: 45+13=58 Current State: 61:[3, 58], Operations: ['46-43=3', '45+13=58'] Exploring Operation: 3+58=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 54, 30, 30, 60 ]
25
[ "60-54=6", "30/6=5", "30-5=25" ]
Current State: 25:[54, 30, 30, 60], Operations: [] Exploring Operation: 60-54=6, Resulting Numbers: [30, 30, 6] Generated Node #2: [30, 30, 6] from Operation: 60-54=6 Current State: 25:[30, 30, 6], Operations: ['60-54=6'] Exploring Operation: 30/6=5, Resulting Numbers: [5] 5,25 equal: Goal Reached Exploring Operation: 30-5=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 20, 90, 76, 46 ]
80
[ "20+90=110", "76-46=30", "110-30=80" ]
Current State: 80:[20, 90, 76, 46], Operations: [] Exploring Operation: 20+90=110, Resulting Numbers: [76, 46, 110] Generated Node #2: [76, 46, 110] from Operation: 20+90=110 Current State: 80:[76, 46, 110], Operations: ['20+90=110'] Exploring Operation: 76-46=30, Resulting Numbers: [110, 30] Generated Node #3: [110, 30] from Operation: 76-46=30 Current State: 80:[110, 30], Operations: ['20+90=110', '76-46=30'] Exploring Operation: 110-30=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 92, 26, 90, 7 ]
38
[ "92-90=2", "26-7=19", "2*19=38" ]
Current State: 38:[92, 26, 90, 7], Operations: [] Exploring Operation: 92-90=2, Resulting Numbers: [26, 7, 2] Generated Node #2: [26, 7, 2] from Operation: 92-90=2 Current State: 38:[26, 7, 2], Operations: ['92-90=2'] Exploring Operation: 26-7=19, Resulting Numbers: [2, 19] Generated Node #3: [2, 19] from Operation: 26-7=19 Current State: 38:[2, 19], Operations: ['92-90=2', '26-7=19'] Exploring Operation: 2*19=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 42, 4, 81, 59 ]
97
[ "81-42=39", "4*39=156", "156-59=97" ]
Current State: 97:[42, 4, 81, 59], Operations: [] Exploring Operation: 81-42=39, Resulting Numbers: [4, 59, 39] Generated Node #2: [4, 59, 39] from Operation: 81-42=39 Current State: 97:[4, 59, 39], Operations: ['81-42=39'] Exploring Operation: 4*39=156, Resulting Numbers: [59, 156] Generated Node #3: [59, 156] from Operation: 4*39=156 Current State: 97:[59, 156], Operations: ['81-42=39', '4*39=156'] Exploring Operation: 156-59=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 25, 8, 33, 9 ]
80
[ "33-25=8", "8*9=72", "8+72=80" ]
Current State: 80:[25, 8, 33, 9], Operations: [] Exploring Operation: 33-25=8, Resulting Numbers: [8, 9, 8] Generated Node #2: [8, 9, 8] from Operation: 33-25=8 Current State: 80:[8, 9, 8], Operations: ['33-25=8'] Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,80 equal: Goal Reached Exploring Operation: 8+72=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4