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
[ 31, 51, 29, 29 ]
11
[ "31-29=2", "51-29=22", "22/2=11" ]
Current State: 11:[31, 51, 29, 29], Operations: [] Exploring Operation: 31-29=2, Resulting Numbers: [51, 2] Generated Node #2: [51, 2] from Operation: 31-29=2 Current State: 11:[51, 2], Operations: ['31-29=2'] Exploring Operation: 51-29=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 51-29=22 Current State: 11:[2, 22], Operations: ['31-29=2', '51-29=22'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 43, 24, 14, 20 ]
86
[ "43*20=860", "24-14=10", "860/10=86" ]
Current State: 86:[43, 24, 14, 20], Operations: [] Exploring Operation: 43*20=860, Resulting Numbers: [24, 14, 860] Generated Node #2: [24, 14, 860] from Operation: 43*20=860 Current State: 86:[24, 14, 860], Operations: ['43*20=860'] Exploring Operation: 24-14=10, Resulting Numbers: [860, 10] Generated Node #3: [860, 10] from Operation: 24-14=10 Current State: 86:[860, 10], Operations: ['43*20=860', '24-14=10'] Exploring Operation: 860/10=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 46, 36, 29, 68 ]
86
[ "36*68=2448", "46+2448=2494", "2494/29=86" ]
Current State: 86:[46, 36, 29, 68], Operations: [] Exploring Operation: 36*68=2448, Resulting Numbers: [46, 29, 2448] Generated Node #2: [46, 29, 2448] from Operation: 36*68=2448 Current State: 86:[46, 29, 2448], Operations: ['36*68=2448'] Exploring Operation: 46+2448=2494, Resulting Numbers: [29, 2494] Generated Node #3: [29, 2494] from Operation: 46+2448=2494 Current State: 86:[29, 2494], Operations: ['36*68=2448', '46+2448=2494'] Exploring Operation: 2494/29=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 44, 87, 46, 58 ]
55
[ "87-44=43", "58-46=12", "43+12=55" ]
Current State: 55:[44, 87, 46, 58], Operations: [] Exploring Operation: 87-44=43, Resulting Numbers: [46, 58, 43] Generated Node #2: [46, 58, 43] from Operation: 87-44=43 Current State: 55:[46, 58, 43], Operations: ['87-44=43'] Exploring Operation: 58-46=12, Resulting Numbers: [43, 12] Generated Node #3: [43, 12] from Operation: 58-46=12 Current State: 55:[43, 12], Operations: ['87-44=43', '58-46=12'] Exploring Operation: 43+12=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 20, 38, 2, 34 ]
50
[ "38-20=18", "2*34=68", "68-18=50" ]
Current State: 50:[20, 38, 2, 34], Operations: [] Exploring Operation: 38-20=18, Resulting Numbers: [2, 34, 18] Generated Node #2: [2, 34, 18] from Operation: 38-20=18 Current State: 50:[2, 34, 18], Operations: ['38-20=18'] Exploring Operation: 2*34=68, Resulting Numbers: [18, 68] Generated Node #3: [18, 68] from Operation: 2*34=68 Current State: 50:[18, 68], Operations: ['38-20=18', '2*34=68'] Exploring Operation: 68-18=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 83, 99, 69, 3 ]
50
[ "99-83=16", "69-3=66", "66-16=50" ]
Current State: 50:[83, 99, 69, 3], Operations: [] Exploring Operation: 99-83=16, Resulting Numbers: [69, 3, 16] Generated Node #2: [69, 3, 16] from Operation: 99-83=16 Current State: 50:[69, 3, 16], Operations: ['99-83=16'] Exploring Operation: 69-3=66, Resulting Numbers: [16, 66] Generated Node #3: [16, 66] from Operation: 69-3=66 Current State: 50:[16, 66], Operations: ['99-83=16', '69-3=66'] Exploring Operation: 66-16=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 70, 43, 87, 33 ]
59
[ "70+43=113", "87-33=54", "113-54=59" ]
Current State: 59:[70, 43, 87, 33], Operations: [] Exploring Operation: 70+43=113, Resulting Numbers: [87, 33, 113] Generated Node #2: [87, 33, 113] from Operation: 70+43=113 Current State: 59:[87, 33, 113], Operations: ['70+43=113'] Exploring Operation: 87-33=54, Resulting Numbers: [113, 54] Generated Node #3: [113, 54] from Operation: 87-33=54 Current State: 59:[113, 54], Operations: ['70+43=113', '87-33=54'] Exploring Operation: 113-54=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 8, 3, 34, 1 ]
31
[ "8+1=9", "9/3=3", "34-3=31" ]
Current State: 31:[8, 3, 34, 1], Operations: [] Exploring Operation: 8+1=9, Resulting Numbers: [3, 34, 9] Generated Node #2: [3, 34, 9] from Operation: 8+1=9 Current State: 31:[3, 34, 9], Operations: ['8+1=9'] Exploring Operation: 9/3=3, Resulting Numbers: [34, 3] Generated Node #3: [34, 3] from Operation: 9/3=3 Current State: 31:[34, 3], Operations: ['8+1=9', '9/3=3'] Exploring Operation: 34-3=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 25, 72, 62, 48 ]
13
[ "25+72=97", "62+48=110", "110-97=13" ]
Current State: 13:[25, 72, 62, 48], Operations: [] Exploring Operation: 25+72=97, Resulting Numbers: [62, 48, 97] Generated Node #2: [62, 48, 97] from Operation: 25+72=97 Current State: 13:[62, 48, 97], Operations: ['25+72=97'] Exploring Operation: 62+48=110, Resulting Numbers: [97, 110] Generated Node #3: [97, 110] from Operation: 62+48=110 Current State: 13:[97, 110], Operations: ['25+72=97', '62+48=110'] Exploring Operation: 110-97=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 16, 35, 33, 15 ]
21
[ "16+33=49", "15*49=735", "735/35=21" ]
Current State: 21:[16, 35, 33, 15], Operations: [] Exploring Operation: 16+33=49, Resulting Numbers: [35, 15, 49] Generated Node #2: [35, 15, 49] from Operation: 16+33=49 Current State: 21:[35, 15, 49], Operations: ['16+33=49'] Exploring Operation: 15*49=735, Resulting Numbers: [35, 735] Generated Node #3: [35, 735] from Operation: 15*49=735 Current State: 21:[35, 735], Operations: ['16+33=49', '15*49=735'] Exploring Operation: 735/35=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 72, 74, 52, 23 ]
98
[ "74-72=2", "23*2=46", "52+46=98" ]
Current State: 98:[72, 74, 52, 23], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [52, 23, 2] Generated Node #2: [52, 23, 2] from Operation: 74-72=2 Current State: 98:[52, 23, 2], Operations: ['74-72=2'] Exploring Operation: 23*2=46, Resulting Numbers: [52, 46] Generated Node #3: [52, 46] from Operation: 23*2=46 Current State: 98:[52, 46], Operations: ['74-72=2', '23*2=46'] Exploring Operation: 52+46=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 9, 58, 84, 98 ]
42
[ "58-9=49", "84*49=4116", "4116/98=42" ]
Current State: 42:[9, 58, 84, 98], Operations: [] Exploring Operation: 58-9=49, Resulting Numbers: [84, 98, 49] Generated Node #2: [84, 98, 49] from Operation: 58-9=49 Current State: 42:[84, 98, 49], Operations: ['58-9=49'] Exploring Operation: 84*49=4116, Resulting Numbers: [98, 4116] Generated Node #3: [98, 4116] from Operation: 84*49=4116 Current State: 42:[98, 4116], Operations: ['58-9=49', '84*49=4116'] Exploring Operation: 4116/98=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 48, 66, 28, 14 ]
60
[ "66-48=18", "28+14=42", "18+42=60" ]
Current State: 60:[48, 66, 28, 14], Operations: [] Exploring Operation: 66-48=18, Resulting Numbers: [28, 14, 18] Generated Node #2: [28, 14, 18] from Operation: 66-48=18 Current State: 60:[28, 14, 18], Operations: ['66-48=18'] Exploring Operation: 28+14=42, Resulting Numbers: [18, 42] Generated Node #3: [18, 42] from Operation: 28+14=42 Current State: 60:[18, 42], Operations: ['66-48=18', '28+14=42'] Exploring Operation: 18+42=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 10, 90, 92, 33 ]
53
[ "92-90=2", "10*2=20", "33+20=53" ]
Current State: 53:[10, 90, 92, 33], Operations: [] Exploring Operation: 92-90=2, Resulting Numbers: [10, 33, 2] Generated Node #2: [10, 33, 2] from Operation: 92-90=2 Current State: 53:[10, 33, 2], Operations: ['92-90=2'] Exploring Operation: 10*2=20, Resulting Numbers: [33, 20] Generated Node #3: [33, 20] from Operation: 10*2=20 Current State: 53:[33, 20], Operations: ['92-90=2', '10*2=20'] Exploring Operation: 33+20=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 27, 27, 86, 23 ]
23
[ "27-27=0", "86*0=0", "23+0=23" ]
Current State: 23:[27, 27, 86, 23], Operations: [] Exploring Operation: 27-27=0, Resulting Numbers: [86, 23, 0] Generated Node #2: [86, 23, 0] from Operation: 27-27=0 Current State: 23:[86, 23, 0], Operations: ['27-27=0'] Exploring Operation: 86*0=0, Resulting Numbers: [23, 0] Generated Node #3: [23, 0] from Operation: 86*0=0 Current State: 23:[23, 0], Operations: ['27-27=0', '86*0=0'] Exploring Operation: 23+0=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 28, 78, 47, 35 ]
32
[ "78-28=50", "47+35=82", "82-50=32" ]
Current State: 32:[28, 78, 47, 35], Operations: [] Exploring Operation: 78-28=50, Resulting Numbers: [47, 35, 50] Generated Node #2: [47, 35, 50] from Operation: 78-28=50 Current State: 32:[47, 35, 50], Operations: ['78-28=50'] Exploring Operation: 47+35=82, Resulting Numbers: [50, 82] Generated Node #3: [50, 82] from Operation: 47+35=82 Current State: 32:[50, 82], Operations: ['78-28=50', '47+35=82'] Exploring Operation: 82-50=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 77, 16, 88, 99 ]
25
[ "88-77=11", "99/11=9", "16+9=25" ]
Current State: 25:[77, 16, 88, 99], Operations: [] Exploring Operation: 88-77=11, Resulting Numbers: [16, 99, 11] Generated Node #2: [16, 99, 11] from Operation: 88-77=11 Current State: 25:[16, 99, 11], Operations: ['88-77=11'] Exploring Operation: 99/11=9, Resulting Numbers: [16, 9] Generated Node #3: [16, 9] from Operation: 99/11=9 Current State: 25:[16, 9], Operations: ['88-77=11', '99/11=9'] Exploring Operation: 16+9=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 89, 19, 9, 35 ]
82
[ "89+19=108", "35-9=26", "108-26=82" ]
Current State: 82:[89, 19, 9, 35], Operations: [] Exploring Operation: 89+19=108, Resulting Numbers: [9, 35, 108] Generated Node #2: [9, 35, 108] from Operation: 89+19=108 Current State: 82:[9, 35, 108], Operations: ['89+19=108'] Exploring Operation: 35-9=26, Resulting Numbers: [108, 26] Generated Node #3: [108, 26] from Operation: 35-9=26 Current State: 82:[108, 26], Operations: ['89+19=108', '35-9=26'] Exploring Operation: 108-26=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 27, 3, 49, 48 ]
84
[ "27+49=76", "76-48=28", "3*28=84" ]
Current State: 84:[27, 3, 49, 48], Operations: [] Exploring Operation: 27+49=76, Resulting Numbers: [3, 48, 76] Generated Node #2: [3, 48, 76] from Operation: 27+49=76 Current State: 84:[3, 48, 76], Operations: ['27+49=76'] Exploring Operation: 76-48=28, Resulting Numbers: [3, 28] Generated Node #3: [3, 28] from Operation: 76-48=28 Current State: 84:[3, 28], Operations: ['27+49=76', '76-48=28'] Exploring Operation: 3*28=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 67, 98, 41, 44 ]
34
[ "98-67=31", "44-41=3", "31+3=34" ]
Current State: 34:[67, 98, 41, 44], Operations: [] Exploring Operation: 98-67=31, Resulting Numbers: [41, 44, 31] Generated Node #2: [41, 44, 31] from Operation: 98-67=31 Current State: 34:[41, 44, 31], Operations: ['98-67=31'] Exploring Operation: 44-41=3, Resulting Numbers: [31, 3] Generated Node #3: [31, 3] from Operation: 44-41=3 Current State: 34:[31, 3], Operations: ['98-67=31', '44-41=3'] Exploring Operation: 31+3=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 16, 95, 29, 33 ]
18
[ "95-29=66", "66/33=2", "16+2=18" ]
Current State: 18:[16, 95, 29, 33], Operations: [] Exploring Operation: 95-29=66, Resulting Numbers: [16, 33, 66] Generated Node #2: [16, 33, 66] from Operation: 95-29=66 Current State: 18:[16, 33, 66], Operations: ['95-29=66'] Exploring Operation: 66/33=2, Resulting Numbers: [16, 2] Generated Node #3: [16, 2] from Operation: 66/33=2 Current State: 18:[16, 2], Operations: ['95-29=66', '66/33=2'] Exploring Operation: 16+2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 33, 75, 42, 44 ]
45
[ "75-33=42", "42/42=1", "44+1=45" ]
Current State: 45:[33, 75, 42, 44], Operations: [] Exploring Operation: 75-33=42, Resulting Numbers: [42, 44, 42] Generated Node #2: [42, 44, 42] from Operation: 75-33=42 Current State: 45:[42, 44, 42], Operations: ['75-33=42'] Exploring Operation: 42/42=1, Resulting Numbers: [44, 1] Generated Node #3: [44, 1] from Operation: 42/42=1 Current State: 45:[44, 1], Operations: ['75-33=42', '42/42=1'] Exploring Operation: 44+1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 8, 50, 1, 28 ]
13
[ "50-8=42", "1+28=29", "42-29=13" ]
Current State: 13:[8, 50, 1, 28], Operations: [] Exploring Operation: 50-8=42, Resulting Numbers: [1, 28, 42] Generated Node #2: [1, 28, 42] from Operation: 50-8=42 Current State: 13:[1, 28, 42], Operations: ['50-8=42'] Exploring Operation: 1+28=29, Resulting Numbers: [42, 29] Generated Node #3: [42, 29] from Operation: 1+28=29 Current State: 13:[42, 29], Operations: ['50-8=42', '1+28=29'] Exploring Operation: 42-29=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 11, 29, 10, 35 ]
15
[ "11+29=40", "35-10=25", "40-25=15" ]
Current State: 15:[11, 29, 10, 35], Operations: [] Exploring Operation: 11+29=40, Resulting Numbers: [10, 35, 40] Generated Node #2: [10, 35, 40] from Operation: 11+29=40 Current State: 15:[10, 35, 40], Operations: ['11+29=40'] Exploring Operation: 35-10=25, Resulting Numbers: [40, 25] Generated Node #3: [40, 25] from Operation: 35-10=25 Current State: 15:[40, 25], Operations: ['11+29=40', '35-10=25'] Exploring Operation: 40-25=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 78, 24, 14, 2 ]
66
[ "78-24=54", "14-2=12", "54+12=66" ]
Current State: 66:[78, 24, 14, 2], Operations: [] Exploring Operation: 78-24=54, Resulting Numbers: [14, 2, 54] Generated Node #2: [14, 2, 54] from Operation: 78-24=54 Current State: 66:[14, 2, 54], Operations: ['78-24=54'] Exploring Operation: 14-2=12, Resulting Numbers: [54, 12] Generated Node #3: [54, 12] from Operation: 14-2=12 Current State: 66:[54, 12], Operations: ['78-24=54', '14-2=12'] Exploring Operation: 54+12=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 5, 33, 6, 99 ]
23
[ "99/33=3", "6*3=18", "5+18=23" ]
Current State: 23:[5, 33, 6, 99], Operations: [] Exploring Operation: 99/33=3, Resulting Numbers: [5, 6, 3] Generated Node #2: [5, 6, 3] from Operation: 99/33=3 Current State: 23:[5, 6, 3], Operations: ['99/33=3'] Exploring Operation: 6*3=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 6*3=18 Current State: 23:[5, 18], Operations: ['99/33=3', '6*3=18'] Exploring Operation: 5+18=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 60, 78, 3, 42 ]
84
[ "60-42=18", "18/3=6", "78+6=84" ]
Current State: 84:[60, 78, 3, 42], Operations: [] Exploring Operation: 60-42=18, Resulting Numbers: [78, 3, 18] Generated Node #2: [78, 3, 18] from Operation: 60-42=18 Current State: 84:[78, 3, 18], Operations: ['60-42=18'] Exploring Operation: 18/3=6, Resulting Numbers: [78, 6] Generated Node #3: [78, 6] from Operation: 18/3=6 Current State: 84:[78, 6], Operations: ['60-42=18', '18/3=6'] Exploring Operation: 78+6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 60, 98, 31, 11 ]
18
[ "98-60=38", "31-11=20", "38-20=18" ]
Current State: 18:[60, 98, 31, 11], Operations: [] Exploring Operation: 98-60=38, Resulting Numbers: [31, 11, 38] Generated Node #2: [31, 11, 38] from Operation: 98-60=38 Current State: 18:[31, 11, 38], Operations: ['98-60=38'] Exploring Operation: 31-11=20, Resulting Numbers: [38, 20] Generated Node #3: [38, 20] from Operation: 31-11=20 Current State: 18:[38, 20], Operations: ['98-60=38', '31-11=20'] Exploring Operation: 38-20=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 2, 35, 41, 59 ]
42
[ "2*59=118", "35+41=76", "118-76=42" ]
Current State: 42:[2, 35, 41, 59], Operations: [] Exploring Operation: 2*59=118, Resulting Numbers: [35, 41, 118] Generated Node #2: [35, 41, 118] from Operation: 2*59=118 Current State: 42:[35, 41, 118], Operations: ['2*59=118'] Exploring Operation: 35+41=76, Resulting Numbers: [118, 76] Generated Node #3: [118, 76] from Operation: 35+41=76 Current State: 42:[118, 76], Operations: ['2*59=118', '35+41=76'] Exploring Operation: 118-76=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 87, 4, 87, 26 ]
100
[ "87/87=1", "26-1=25", "4*25=100" ]
Current State: 100:[87, 4, 87, 26], Operations: [] Exploring Operation: 87/87=1, Resulting Numbers: [4, 26, 1] Generated Node #2: [4, 26, 1] from Operation: 87/87=1 Current State: 100:[4, 26, 1], Operations: ['87/87=1'] Exploring Operation: 26-1=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 26-1=25 Current State: 100:[4, 25], Operations: ['87/87=1', '26-1=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 22, 9, 51, 4 ]
80
[ "22+9=31", "51-31=20", "4*20=80" ]
Current State: 80:[22, 9, 51, 4], Operations: [] Exploring Operation: 22+9=31, Resulting Numbers: [51, 4, 31] Generated Node #2: [51, 4, 31] from Operation: 22+9=31 Current State: 80:[51, 4, 31], Operations: ['22+9=31'] Exploring Operation: 51-31=20, Resulting Numbers: [4, 20] Generated Node #3: [4, 20] from Operation: 51-31=20 Current State: 80:[4, 20], Operations: ['22+9=31', '51-31=20'] Exploring Operation: 4*20=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 76, 41, 68, 65 ]
98
[ "76-41=35", "68+65=133", "133-35=98" ]
Current State: 98:[76, 41, 68, 65], Operations: [] Exploring Operation: 76-41=35, Resulting Numbers: [68, 65, 35] Generated Node #2: [68, 65, 35] from Operation: 76-41=35 Current State: 98:[68, 65, 35], Operations: ['76-41=35'] Exploring Operation: 68+65=133, Resulting Numbers: [35, 133] Generated Node #3: [35, 133] from Operation: 68+65=133 Current State: 98:[35, 133], Operations: ['76-41=35', '68+65=133'] Exploring Operation: 133-35=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 59, 59, 10, 59 ]
48
[ "59/59=1", "59-10=49", "49-1=48" ]
Current State: 48:[59, 59, 10, 59], Operations: [] Exploring Operation: 59/59=1, Resulting Numbers: [10, 1] Generated Node #2: [10, 1] from Operation: 59/59=1 Current State: 48:[10, 1], Operations: ['59/59=1'] Exploring Operation: 59-10=49, Resulting Numbers: [1, 49] Generated Node #3: [1, 49] from Operation: 59-10=49 Current State: 48:[1, 49], Operations: ['59/59=1', '59-10=49'] Exploring Operation: 49-1=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 9, 41, 69, 42 ]
38
[ "69-42=27", "27/9=3", "41-3=38" ]
Current State: 38:[9, 41, 69, 42], Operations: [] Exploring Operation: 69-42=27, Resulting Numbers: [9, 41, 27] Generated Node #2: [9, 41, 27] from Operation: 69-42=27 Current State: 38:[9, 41, 27], Operations: ['69-42=27'] Exploring Operation: 27/9=3, Resulting Numbers: [41, 3] Generated Node #3: [41, 3] from Operation: 27/9=3 Current State: 38:[41, 3], Operations: ['69-42=27', '27/9=3'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 10, 27, 81, 23 ]
53
[ "10*81=810", "810/27=30", "23+30=53" ]
Current State: 53:[10, 27, 81, 23], Operations: [] Exploring Operation: 10*81=810, Resulting Numbers: [27, 23, 810] Generated Node #2: [27, 23, 810] from Operation: 10*81=810 Current State: 53:[27, 23, 810], Operations: ['10*81=810'] Exploring Operation: 810/27=30, Resulting Numbers: [23, 30] Generated Node #3: [23, 30] from Operation: 810/27=30 Current State: 53:[23, 30], Operations: ['10*81=810', '810/27=30'] Exploring Operation: 23+30=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 20, 76, 16, 22 ]
68
[ "22-20=2", "16/2=8", "76-8=68" ]
Current State: 68:[20, 76, 16, 22], Operations: [] Exploring Operation: 22-20=2, Resulting Numbers: [76, 16, 2] Generated Node #2: [76, 16, 2] from Operation: 22-20=2 Current State: 68:[76, 16, 2], Operations: ['22-20=2'] Exploring Operation: 16/2=8, Resulting Numbers: [76, 8] Generated Node #3: [76, 8] from Operation: 16/2=8 Current State: 68:[76, 8], Operations: ['22-20=2', '16/2=8'] Exploring Operation: 76-8=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 8, 19, 48, 34 ]
93
[ "19-8=11", "48+34=82", "11+82=93" ]
Current State: 93:[8, 19, 48, 34], Operations: [] Exploring Operation: 19-8=11, Resulting Numbers: [48, 34, 11] Generated Node #2: [48, 34, 11] from Operation: 19-8=11 Current State: 93:[48, 34, 11], Operations: ['19-8=11'] Exploring Operation: 48+34=82, Resulting Numbers: [11, 82] Generated Node #3: [11, 82] from Operation: 48+34=82 Current State: 93:[11, 82], Operations: ['19-8=11', '48+34=82'] Exploring Operation: 11+82=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 89, 36, 83, 27 ]
69
[ "89+36=125", "83-27=56", "125-56=69" ]
Current State: 69:[89, 36, 83, 27], Operations: [] Exploring Operation: 89+36=125, Resulting Numbers: [83, 27, 125] Generated Node #2: [83, 27, 125] from Operation: 89+36=125 Current State: 69:[83, 27, 125], Operations: ['89+36=125'] Exploring Operation: 83-27=56, Resulting Numbers: [125, 56] Generated Node #3: [125, 56] from Operation: 83-27=56 Current State: 69:[125, 56], Operations: ['89+36=125', '83-27=56'] Exploring Operation: 125-56=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 19, 2, 26, 57 ]
25
[ "26-19=7", "57-7=50", "50/2=25" ]
Current State: 25:[19, 2, 26, 57], Operations: [] Exploring Operation: 26-19=7, Resulting Numbers: [2, 57, 7] Generated Node #2: [2, 57, 7] from Operation: 26-19=7 Current State: 25:[2, 57, 7], Operations: ['26-19=7'] Exploring Operation: 57-7=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 57-7=50 Current State: 25:[2, 50], Operations: ['26-19=7', '57-7=50'] Exploring Operation: 50/2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 60, 58, 77, 33 ]
82
[ "60*77=4620", "4620/33=140", "140-58=82" ]
Current State: 82:[60, 58, 77, 33], Operations: [] Exploring Operation: 60*77=4620, Resulting Numbers: [58, 33, 4620] Generated Node #2: [58, 33, 4620] from Operation: 60*77=4620 Current State: 82:[58, 33, 4620], Operations: ['60*77=4620'] Exploring Operation: 4620/33=140, Resulting Numbers: [58, 140] Generated Node #3: [58, 140] from Operation: 4620/33=140 Current State: 82:[58, 140], Operations: ['60*77=4620', '4620/33=140'] Exploring Operation: 140-58=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 35, 86, 11, 55 ]
44
[ "35+86=121", "121/11=11", "55-11=44" ]
Current State: 44:[35, 86, 11, 55], Operations: [] Exploring Operation: 35+86=121, Resulting Numbers: [11, 55, 121] Generated Node #2: [11, 55, 121] from Operation: 35+86=121 Current State: 44:[11, 55, 121], Operations: ['35+86=121'] Exploring Operation: 121/11=11, Resulting Numbers: [55, 11] Generated Node #3: [55, 11] from Operation: 121/11=11 Current State: 44:[55, 11], Operations: ['35+86=121', '121/11=11'] Exploring Operation: 55-11=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 3, 51, 98, 6 ]
45
[ "6/3=2", "98-51=47", "47-2=45" ]
Current State: 45:[3, 51, 98, 6], Operations: [] Exploring Operation: 6/3=2, Resulting Numbers: [51, 98, 2] Generated Node #2: [51, 98, 2] from Operation: 6/3=2 Current State: 45:[51, 98, 2], Operations: ['6/3=2'] Exploring Operation: 98-51=47, Resulting Numbers: [2, 47] Generated Node #3: [2, 47] from Operation: 98-51=47 Current State: 45:[2, 47], Operations: ['6/3=2', '98-51=47'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 95, 9, 10, 21 ]
93
[ "95+9=104", "21-10=11", "104-11=93" ]
Current State: 93:[95, 9, 10, 21], Operations: [] Exploring Operation: 95+9=104, Resulting Numbers: [10, 21, 104] Generated Node #2: [10, 21, 104] from Operation: 95+9=104 Current State: 93:[10, 21, 104], Operations: ['95+9=104'] Exploring Operation: 21-10=11, Resulting Numbers: [104, 11] Generated Node #3: [104, 11] from Operation: 21-10=11 Current State: 93:[104, 11], Operations: ['95+9=104', '21-10=11'] Exploring Operation: 104-11=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 89, 48, 3, 44 ]
90
[ "89+48=137", "3+44=47", "137-47=90" ]
Current State: 90:[89, 48, 3, 44], Operations: [] Exploring Operation: 89+48=137, Resulting Numbers: [3, 44, 137] Generated Node #2: [3, 44, 137] from Operation: 89+48=137 Current State: 90:[3, 44, 137], Operations: ['89+48=137'] Exploring Operation: 3+44=47, Resulting Numbers: [137, 47] Generated Node #3: [137, 47] from Operation: 3+44=47 Current State: 90:[137, 47], Operations: ['89+48=137', '3+44=47'] Exploring Operation: 137-47=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 25, 17, 50, 27 ]
46
[ "50/25=2", "17+27=44", "2+44=46" ]
Current State: 46:[25, 17, 50, 27], Operations: [] Exploring Operation: 50/25=2, Resulting Numbers: [17, 27, 2] Generated Node #2: [17, 27, 2] from Operation: 50/25=2 Current State: 46:[17, 27, 2], Operations: ['50/25=2'] Exploring Operation: 17+27=44, Resulting Numbers: [2, 44] Generated Node #3: [2, 44] from Operation: 17+27=44 Current State: 46:[2, 44], Operations: ['50/25=2', '17+27=44'] Exploring Operation: 2+44=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 86, 9, 96, 32 ]
83
[ "9*32=288", "288/96=3", "86-3=83" ]
Current State: 83:[86, 9, 96, 32], Operations: [] Exploring Operation: 9*32=288, Resulting Numbers: [86, 96, 288] Generated Node #2: [86, 96, 288] from Operation: 9*32=288 Current State: 83:[86, 96, 288], Operations: ['9*32=288'] Exploring Operation: 288/96=3, Resulting Numbers: [86, 3] Generated Node #3: [86, 3] from Operation: 288/96=3 Current State: 83:[86, 3], Operations: ['9*32=288', '288/96=3'] Exploring Operation: 86-3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 71, 69, 98, 87 ]
68
[ "98-69=29", "87/29=3", "71-3=68" ]
Current State: 68:[71, 69, 98, 87], Operations: [] Exploring Operation: 98-69=29, Resulting Numbers: [71, 87, 29] Generated Node #2: [71, 87, 29] from Operation: 98-69=29 Current State: 68:[71, 87, 29], Operations: ['98-69=29'] Exploring Operation: 87/29=3, Resulting Numbers: [71, 3] Generated Node #3: [71, 3] from Operation: 87/29=3 Current State: 68:[71, 3], Operations: ['98-69=29', '87/29=3'] Exploring Operation: 71-3=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 66, 12, 13, 8 ]
26
[ "66+12=78", "13*8=104", "104-78=26" ]
Current State: 26:[66, 12, 13, 8], Operations: [] Exploring Operation: 66+12=78, Resulting Numbers: [13, 8, 78] Generated Node #2: [13, 8, 78] from Operation: 66+12=78 Current State: 26:[13, 8, 78], Operations: ['66+12=78'] Exploring Operation: 13*8=104, Resulting Numbers: [78, 104] Generated Node #3: [78, 104] from Operation: 13*8=104 Current State: 26:[78, 104], Operations: ['66+12=78', '13*8=104'] Exploring Operation: 104-78=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 2, 74, 32, 1 ]
21
[ "2*1=2", "74-32=42", "42/2=21" ]
Current State: 21:[2, 74, 32, 1], Operations: [] Exploring Operation: 2*1=2, Resulting Numbers: [74, 32, 2] Generated Node #2: [74, 32, 2] from Operation: 2*1=2 Current State: 21:[74, 32, 2], Operations: ['2*1=2'] Exploring Operation: 74-32=42, Resulting Numbers: [2, 42] Generated Node #3: [2, 42] from Operation: 74-32=42 Current State: 21:[2, 42], Operations: ['2*1=2', '74-32=42'] Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 12, 46, 20, 26 ]
52
[ "12+46=58", "26-20=6", "58-6=52" ]
Current State: 52:[12, 46, 20, 26], Operations: [] Exploring Operation: 12+46=58, Resulting Numbers: [20, 26, 58] Generated Node #2: [20, 26, 58] from Operation: 12+46=58 Current State: 52:[20, 26, 58], Operations: ['12+46=58'] Exploring Operation: 26-20=6, Resulting Numbers: [58, 6] Generated Node #3: [58, 6] from Operation: 26-20=6 Current State: 52:[58, 6], Operations: ['12+46=58', '26-20=6'] Exploring Operation: 58-6=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 78, 76, 79, 52 ]
23
[ "78+76=154", "79+52=131", "154-131=23" ]
Current State: 23:[78, 76, 79, 52], Operations: [] Exploring Operation: 78+76=154, Resulting Numbers: [79, 52, 154] Generated Node #2: [79, 52, 154] from Operation: 78+76=154 Current State: 23:[79, 52, 154], Operations: ['78+76=154'] Exploring Operation: 79+52=131, Resulting Numbers: [154, 131] Generated Node #3: [154, 131] from Operation: 79+52=131 Current State: 23:[154, 131], Operations: ['78+76=154', '79+52=131'] Exploring Operation: 154-131=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 12, 94, 6, 3 ]
94
[ "12/6=2", "3-2=1", "94*1=94" ]
Current State: 94:[12, 94, 6, 3], Operations: [] Exploring Operation: 12/6=2, Resulting Numbers: [94, 3, 2] Generated Node #2: [94, 3, 2] from Operation: 12/6=2 Current State: 94:[94, 3, 2], Operations: ['12/6=2'] Exploring Operation: 3-2=1, Resulting Numbers: [94, 1] Generated Node #3: [94, 1] from Operation: 3-2=1 Current State: 94:[94, 1], Operations: ['12/6=2', '3-2=1'] Exploring Operation: 94*1=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 16, 9, 28, 60 ]
32
[ "9*60=540", "540-28=512", "512/16=32" ]
Current State: 32:[16, 9, 28, 60], Operations: [] Exploring Operation: 9*60=540, Resulting Numbers: [16, 28, 540] Generated Node #2: [16, 28, 540] from Operation: 9*60=540 Current State: 32:[16, 28, 540], Operations: ['9*60=540'] Exploring Operation: 540-28=512, Resulting Numbers: [16, 512] Generated Node #3: [16, 512] from Operation: 540-28=512 Current State: 32:[16, 512], Operations: ['9*60=540', '540-28=512'] Exploring Operation: 512/16=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 42, 48, 85, 34 ]
45
[ "48-42=6", "85-34=51", "51-6=45" ]
Current State: 45:[42, 48, 85, 34], Operations: [] Exploring Operation: 48-42=6, Resulting Numbers: [85, 34, 6] Generated Node #2: [85, 34, 6] from Operation: 48-42=6 Current State: 45:[85, 34, 6], Operations: ['48-42=6'] Exploring Operation: 85-34=51, Resulting Numbers: [6, 51] Generated Node #3: [6, 51] from Operation: 85-34=51 Current State: 45:[6, 51], Operations: ['48-42=6', '85-34=51'] Exploring Operation: 51-6=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 3, 67, 28, 83 ]
47
[ "67-3=64", "28+83=111", "111-64=47" ]
Current State: 47:[3, 67, 28, 83], Operations: [] Exploring Operation: 67-3=64, Resulting Numbers: [28, 83, 64] Generated Node #2: [28, 83, 64] from Operation: 67-3=64 Current State: 47:[28, 83, 64], Operations: ['67-3=64'] Exploring Operation: 28+83=111, Resulting Numbers: [64, 111] Generated Node #3: [64, 111] from Operation: 28+83=111 Current State: 47:[64, 111], Operations: ['67-3=64', '28+83=111'] Exploring Operation: 111-64=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 52, 28, 84, 15 ]
21
[ "28-15=13", "52/13=4", "84/4=21" ]
Current State: 21:[52, 28, 84, 15], Operations: [] Exploring Operation: 28-15=13, Resulting Numbers: [52, 84, 13] Generated Node #2: [52, 84, 13] from Operation: 28-15=13 Current State: 21:[52, 84, 13], Operations: ['28-15=13'] Exploring Operation: 52/13=4, Resulting Numbers: [84, 4] Generated Node #3: [84, 4] from Operation: 52/13=4 Current State: 21:[84, 4], Operations: ['28-15=13', '52/13=4'] Exploring Operation: 84/4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 2, 59, 85, 31 ]
21
[ "85-59=26", "2*26=52", "52-31=21" ]
Current State: 21:[2, 59, 85, 31], Operations: [] Exploring Operation: 85-59=26, Resulting Numbers: [2, 31, 26] Generated Node #2: [2, 31, 26] from Operation: 85-59=26 Current State: 21:[2, 31, 26], Operations: ['85-59=26'] Exploring Operation: 2*26=52, Resulting Numbers: [31, 52] Generated Node #3: [31, 52] from Operation: 2*26=52 Current State: 21:[31, 52], Operations: ['85-59=26', '2*26=52'] Exploring Operation: 52-31=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 77, 24, 39, 27 ]
67
[ "77*24=1848", "1848-39=1809", "1809/27=67" ]
Current State: 67:[77, 24, 39, 27], Operations: [] Exploring Operation: 77*24=1848, Resulting Numbers: [39, 27, 1848] Generated Node #2: [39, 27, 1848] from Operation: 77*24=1848 Current State: 67:[39, 27, 1848], Operations: ['77*24=1848'] Exploring Operation: 1848-39=1809, Resulting Numbers: [27, 1809] Generated Node #3: [27, 1809] from Operation: 1848-39=1809 Current State: 67:[27, 1809], Operations: ['77*24=1848', '1848-39=1809'] Exploring Operation: 1809/27=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 21, 60, 6, 53 ]
22
[ "21+60=81", "6+53=59", "81-59=22" ]
Current State: 22:[21, 60, 6, 53], Operations: [] Exploring Operation: 21+60=81, Resulting Numbers: [6, 53, 81] Generated Node #2: [6, 53, 81] from Operation: 21+60=81 Current State: 22:[6, 53, 81], Operations: ['21+60=81'] Exploring Operation: 6+53=59, Resulting Numbers: [81, 59] Generated Node #3: [81, 59] from Operation: 6+53=59 Current State: 22:[81, 59], Operations: ['21+60=81', '6+53=59'] Exploring Operation: 81-59=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 2, 22, 44, 61 ]
78
[ "44-22=22", "61-22=39", "2*39=78" ]
Current State: 78:[2, 22, 44, 61], Operations: [] Exploring Operation: 44-22=22, Resulting Numbers: [2, 61, 22] Generated Node #2: [2, 61, 22] from Operation: 44-22=22 Current State: 78:[2, 61, 22], Operations: ['44-22=22'] Exploring Operation: 61-22=39, Resulting Numbers: [2, 39] Generated Node #3: [2, 39] from Operation: 61-22=39 Current State: 78:[2, 39], Operations: ['44-22=22', '61-22=39'] Exploring Operation: 2*39=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 43, 77, 72, 2 ]
76
[ "77-43=34", "72-34=38", "2*38=76" ]
Current State: 76:[43, 77, 72, 2], Operations: [] Exploring Operation: 77-43=34, Resulting Numbers: [72, 2, 34] Generated Node #2: [72, 2, 34] from Operation: 77-43=34 Current State: 76:[72, 2, 34], Operations: ['77-43=34'] Exploring Operation: 72-34=38, Resulting Numbers: [2, 38] Generated Node #3: [2, 38] from Operation: 72-34=38 Current State: 76:[2, 38], Operations: ['77-43=34', '72-34=38'] Exploring Operation: 2*38=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 24, 91, 28, 30 ]
77
[ "30-24=6", "28*6=168", "168-91=77" ]
Current State: 77:[24, 91, 28, 30], Operations: [] Exploring Operation: 30-24=6, Resulting Numbers: [91, 28, 6] Generated Node #2: [91, 28, 6] from Operation: 30-24=6 Current State: 77:[91, 28, 6], Operations: ['30-24=6'] Exploring Operation: 28*6=168, Resulting Numbers: [91, 168] Generated Node #3: [91, 168] from Operation: 28*6=168 Current State: 77:[91, 168], Operations: ['30-24=6', '28*6=168'] Exploring Operation: 168-91=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 46, 56, 63, 23 ]
14
[ "46/23=2", "63-56=7", "2*7=14" ]
Current State: 14:[46, 56, 63, 23], Operations: [] Exploring Operation: 46/23=2, Resulting Numbers: [56, 63, 2] Generated Node #2: [56, 63, 2] from Operation: 46/23=2 Current State: 14:[56, 63, 2], Operations: ['46/23=2'] Exploring Operation: 63-56=7, Resulting Numbers: [2, 7] Generated Node #3: [2, 7] from Operation: 63-56=7 Current State: 14:[2, 7], Operations: ['46/23=2', '63-56=7'] Exploring Operation: 2*7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 10, 29, 10, 16 ]
89
[ "16-10=6", "10*6=60", "29+60=89" ]
Current State: 89:[10, 29, 10, 16], Operations: [] Exploring Operation: 16-10=6, Resulting Numbers: [29, 6] Generated Node #2: [29, 6] from Operation: 16-10=6 Current State: 89:[29, 6], Operations: ['16-10=6'] Exploring Operation: 10*6=60, Resulting Numbers: [29, 60] Generated Node #3: [29, 60] from Operation: 10*6=60 Current State: 89:[29, 60], Operations: ['16-10=6', '10*6=60'] Exploring Operation: 29+60=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 45, 32, 73, 79 ]
83
[ "45+32=77", "79-73=6", "77+6=83" ]
Current State: 83:[45, 32, 73, 79], Operations: [] Exploring Operation: 45+32=77, Resulting Numbers: [73, 79, 77] Generated Node #2: [73, 79, 77] from Operation: 45+32=77 Current State: 83:[73, 79, 77], Operations: ['45+32=77'] Exploring Operation: 79-73=6, Resulting Numbers: [77, 6] Generated Node #3: [77, 6] from Operation: 79-73=6 Current State: 83:[77, 6], Operations: ['45+32=77', '79-73=6'] Exploring Operation: 77+6=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 14, 66, 42, 26 ]
28
[ "66-42=24", "26-24=2", "14*2=28" ]
Current State: 28:[14, 66, 42, 26], Operations: [] Exploring Operation: 66-42=24, Resulting Numbers: [14, 26, 24] Generated Node #2: [14, 26, 24] from Operation: 66-42=24 Current State: 28:[14, 26, 24], Operations: ['66-42=24'] Exploring Operation: 26-24=2, Resulting Numbers: [14, 2] Generated Node #3: [14, 2] from Operation: 26-24=2 Current State: 28:[14, 2], Operations: ['66-42=24', '26-24=2'] Exploring Operation: 14*2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 13, 65, 94, 56 ]
40
[ "13+65=78", "94-56=38", "78-38=40" ]
Current State: 40:[13, 65, 94, 56], Operations: [] Exploring Operation: 13+65=78, Resulting Numbers: [94, 56, 78] Generated Node #2: [94, 56, 78] from Operation: 13+65=78 Current State: 40:[94, 56, 78], Operations: ['13+65=78'] Exploring Operation: 94-56=38, Resulting Numbers: [78, 38] Generated Node #3: [78, 38] from Operation: 94-56=38 Current State: 40:[78, 38], Operations: ['13+65=78', '94-56=38'] Exploring Operation: 78-38=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 28, 31, 27, 68 ]
77
[ "31-28=3", "27/3=9", "68+9=77" ]
Current State: 77:[28, 31, 27, 68], Operations: [] Exploring Operation: 31-28=3, Resulting Numbers: [27, 68, 3] Generated Node #2: [27, 68, 3] from Operation: 31-28=3 Current State: 77:[27, 68, 3], Operations: ['31-28=3'] Exploring Operation: 27/3=9, Resulting Numbers: [68, 9] Generated Node #3: [68, 9] from Operation: 27/3=9 Current State: 77:[68, 9], Operations: ['31-28=3', '27/3=9'] Exploring Operation: 68+9=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 81, 85, 79, 15 ]
55
[ "81-79=2", "15*2=30", "85-30=55" ]
Current State: 55:[81, 85, 79, 15], Operations: [] Exploring Operation: 81-79=2, Resulting Numbers: [85, 15, 2] Generated Node #2: [85, 15, 2] from Operation: 81-79=2 Current State: 55:[85, 15, 2], Operations: ['81-79=2'] Exploring Operation: 15*2=30, Resulting Numbers: [85, 30] Generated Node #3: [85, 30] from Operation: 15*2=30 Current State: 55:[85, 30], Operations: ['81-79=2', '15*2=30'] Exploring Operation: 85-30=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 1, 52, 26, 13 ]
22
[ "1*52=52", "52/13=4", "26-4=22" ]
Current State: 22:[1, 52, 26, 13], Operations: [] Exploring Operation: 1*52=52, Resulting Numbers: [26, 13, 52] Generated Node #2: [26, 13, 52] from Operation: 1*52=52 Current State: 22:[26, 13, 52], Operations: ['1*52=52'] Exploring Operation: 52/13=4, Resulting Numbers: [26, 4] Generated Node #3: [26, 4] from Operation: 52/13=4 Current State: 22:[26, 4], Operations: ['1*52=52', '52/13=4'] Exploring Operation: 26-4=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 86, 93, 89, 27 ]
100
[ "93-86=7", "27*7=189", "189-89=100" ]
Current State: 100:[86, 93, 89, 27], Operations: [] Exploring Operation: 93-86=7, Resulting Numbers: [89, 27, 7] Generated Node #2: [89, 27, 7] from Operation: 93-86=7 Current State: 100:[89, 27, 7], Operations: ['93-86=7'] Exploring Operation: 27*7=189, Resulting Numbers: [89, 189] Generated Node #3: [89, 189] from Operation: 27*7=189 Current State: 100:[89, 189], Operations: ['93-86=7', '27*7=189'] Exploring Operation: 189-89=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 37, 3, 24, 8 ]
72
[ "37+3=40", "24+8=32", "40+32=72" ]
Current State: 72:[37, 3, 24, 8], Operations: [] Exploring Operation: 37+3=40, Resulting Numbers: [24, 8, 40] Generated Node #2: [24, 8, 40] from Operation: 37+3=40 Current State: 72:[24, 8, 40], Operations: ['37+3=40'] Exploring Operation: 24+8=32, Resulting Numbers: [40, 32] Generated Node #3: [40, 32] from Operation: 24+8=32 Current State: 72:[40, 32], Operations: ['37+3=40', '24+8=32'] Exploring Operation: 40+32=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 23, 87, 70, 5 ]
42
[ "23*5=115", "87+70=157", "157-115=42" ]
Current State: 42:[23, 87, 70, 5], Operations: [] Exploring Operation: 23*5=115, Resulting Numbers: [87, 70, 115] Generated Node #2: [87, 70, 115] from Operation: 23*5=115 Current State: 42:[87, 70, 115], Operations: ['23*5=115'] Exploring Operation: 87+70=157, Resulting Numbers: [115, 157] Generated Node #3: [115, 157] from Operation: 87+70=157 Current State: 42:[115, 157], Operations: ['23*5=115', '87+70=157'] Exploring Operation: 157-115=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 66, 4, 69, 72 ]
45
[ "72-66=6", "4*6=24", "69-24=45" ]
Current State: 45:[66, 4, 69, 72], Operations: [] Exploring Operation: 72-66=6, Resulting Numbers: [4, 69, 6] Generated Node #2: [4, 69, 6] from Operation: 72-66=6 Current State: 45:[4, 69, 6], Operations: ['72-66=6'] Exploring Operation: 4*6=24, Resulting Numbers: [69, 24] Generated Node #3: [69, 24] from Operation: 4*6=24 Current State: 45:[69, 24], Operations: ['72-66=6', '4*6=24'] Exploring Operation: 69-24=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 87, 17, 94, 88 ]
31
[ "94-87=7", "17*7=119", "119-88=31" ]
Current State: 31:[87, 17, 94, 88], Operations: [] Exploring Operation: 94-87=7, Resulting Numbers: [17, 88, 7] Generated Node #2: [17, 88, 7] from Operation: 94-87=7 Current State: 31:[17, 88, 7], Operations: ['94-87=7'] Exploring Operation: 17*7=119, Resulting Numbers: [88, 119] Generated Node #3: [88, 119] from Operation: 17*7=119 Current State: 31:[88, 119], Operations: ['94-87=7', '17*7=119'] Exploring Operation: 119-88=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 70, 48, 65, 9 ]
83
[ "65-48=17", "9*17=153", "153-70=83" ]
Current State: 83:[70, 48, 65, 9], Operations: [] Exploring Operation: 65-48=17, Resulting Numbers: [70, 9, 17] Generated Node #2: [70, 9, 17] from Operation: 65-48=17 Current State: 83:[70, 9, 17], Operations: ['65-48=17'] Exploring Operation: 9*17=153, Resulting Numbers: [70, 153] Generated Node #3: [70, 153] from Operation: 9*17=153 Current State: 83:[70, 153], Operations: ['65-48=17', '9*17=153'] Exploring Operation: 153-70=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 39, 33, 5, 94 ]
93
[ "39-33=6", "5+94=99", "99-6=93" ]
Current State: 93:[39, 33, 5, 94], Operations: [] Exploring Operation: 39-33=6, Resulting Numbers: [5, 94, 6] Generated Node #2: [5, 94, 6] from Operation: 39-33=6 Current State: 93:[5, 94, 6], Operations: ['39-33=6'] Exploring Operation: 5+94=99, Resulting Numbers: [6, 99] Generated Node #3: [6, 99] from Operation: 5+94=99 Current State: 93:[6, 99], Operations: ['39-33=6', '5+94=99'] Exploring Operation: 99-6=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 5, 99, 3, 39 ]
25
[ "99-39=60", "60/3=20", "5+20=25" ]
Current State: 25:[5, 99, 3, 39], Operations: [] Exploring Operation: 99-39=60, Resulting Numbers: [5, 3, 60] Generated Node #2: [5, 3, 60] from Operation: 99-39=60 Current State: 25:[5, 3, 60], Operations: ['99-39=60'] Exploring Operation: 60/3=20, Resulting Numbers: [5, 20] Generated Node #3: [5, 20] from Operation: 60/3=20 Current State: 25:[5, 20], Operations: ['99-39=60', '60/3=20'] Exploring Operation: 5+20=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 67, 36, 37, 28 ]
39
[ "67-28=39", "37-36=1", "39*1=39" ]
Current State: 39:[67, 36, 37, 28], Operations: [] Exploring Operation: 67-28=39, Resulting Numbers: [36, 37, 39] Generated Node #2: [36, 37, 39] from Operation: 67-28=39 Current State: 39:[36, 37, 39], Operations: ['67-28=39'] Exploring Operation: 37-36=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 37-36=1 Current State: 39:[39, 1], Operations: ['67-28=39', '37-36=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 81, 92, 3, 34 ]
67
[ "92-81=11", "3*11=33", "34+33=67" ]
Current State: 67:[81, 92, 3, 34], Operations: [] Exploring Operation: 92-81=11, Resulting Numbers: [3, 34, 11] Generated Node #2: [3, 34, 11] from Operation: 92-81=11 Current State: 67:[3, 34, 11], Operations: ['92-81=11'] Exploring Operation: 3*11=33, Resulting Numbers: [34, 33] Generated Node #3: [34, 33] from Operation: 3*11=33 Current State: 67:[34, 33], Operations: ['92-81=11', '3*11=33'] Exploring Operation: 34+33=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 32, 84, 85, 2 ]
19
[ "84-32=52", "2*52=104", "104-85=19" ]
Current State: 19:[32, 84, 85, 2], Operations: [] Exploring Operation: 84-32=52, Resulting Numbers: [85, 2, 52] Generated Node #2: [85, 2, 52] from Operation: 84-32=52 Current State: 19:[85, 2, 52], Operations: ['84-32=52'] Exploring Operation: 2*52=104, Resulting Numbers: [85, 104] Generated Node #3: [85, 104] from Operation: 2*52=104 Current State: 19:[85, 104], Operations: ['84-32=52', '2*52=104'] Exploring Operation: 104-85=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 42, 99, 25, 3 ]
29
[ "99-42=57", "25+3=28", "57-28=29" ]
Current State: 29:[42, 99, 25, 3], Operations: [] Exploring Operation: 99-42=57, Resulting Numbers: [25, 3, 57] Generated Node #2: [25, 3, 57] from Operation: 99-42=57 Current State: 29:[25, 3, 57], Operations: ['99-42=57'] Exploring Operation: 25+3=28, Resulting Numbers: [57, 28] Generated Node #3: [57, 28] from Operation: 25+3=28 Current State: 29:[57, 28], Operations: ['99-42=57', '25+3=28'] Exploring Operation: 57-28=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 3, 25, 59, 72 ]
52
[ "25+59=84", "72+84=156", "156/3=52" ]
Current State: 52:[3, 25, 59, 72], Operations: [] Exploring Operation: 25+59=84, Resulting Numbers: [3, 72, 84] Generated Node #2: [3, 72, 84] from Operation: 25+59=84 Current State: 52:[3, 72, 84], Operations: ['25+59=84'] Exploring Operation: 72+84=156, Resulting Numbers: [3, 156] Generated Node #3: [3, 156] from Operation: 72+84=156 Current State: 52:[3, 156], Operations: ['25+59=84', '72+84=156'] Exploring Operation: 156/3=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 86, 18, 43, 80 ]
71
[ "86/43=2", "18/2=9", "80-9=71" ]
Current State: 71:[86, 18, 43, 80], Operations: [] Exploring Operation: 86/43=2, Resulting Numbers: [18, 80, 2] Generated Node #2: [18, 80, 2] from Operation: 86/43=2 Current State: 71:[18, 80, 2], Operations: ['86/43=2'] Exploring Operation: 18/2=9, Resulting Numbers: [80, 9] Generated Node #3: [80, 9] from Operation: 18/2=9 Current State: 71:[80, 9], Operations: ['86/43=2', '18/2=9'] Exploring Operation: 80-9=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 87, 5, 85, 81 ]
43
[ "87-85=2", "5+81=86", "86/2=43" ]
Current State: 43:[87, 5, 85, 81], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [5, 81, 2] Generated Node #2: [5, 81, 2] from Operation: 87-85=2 Current State: 43:[5, 81, 2], Operations: ['87-85=2'] Exploring Operation: 5+81=86, Resulting Numbers: [2, 86] Generated Node #3: [2, 86] from Operation: 5+81=86 Current State: 43:[2, 86], Operations: ['87-85=2', '5+81=86'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 63, 26, 69, 63 ]
43
[ "63+26=89", "69+63=132", "132-89=43" ]
Current State: 43:[63, 26, 69, 63], Operations: [] Exploring Operation: 63+26=89, Resulting Numbers: [69, 89] Generated Node #2: [69, 89] from Operation: 63+26=89 Current State: 43:[69, 89], Operations: ['63+26=89'] Exploring Operation: 69+63=132, Resulting Numbers: [89, 132] Generated Node #3: [89, 132] from Operation: 69+63=132 Current State: 43:[89, 132], Operations: ['63+26=89', '69+63=132'] Exploring Operation: 132-89=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 38, 27, 68, 64 ]
67
[ "38+27=65", "68+64=132", "132-65=67" ]
Current State: 67:[38, 27, 68, 64], Operations: [] Exploring Operation: 38+27=65, Resulting Numbers: [68, 64, 65] Generated Node #2: [68, 64, 65] from Operation: 38+27=65 Current State: 67:[68, 64, 65], Operations: ['38+27=65'] Exploring Operation: 68+64=132, Resulting Numbers: [65, 132] Generated Node #3: [65, 132] from Operation: 68+64=132 Current State: 67:[65, 132], Operations: ['38+27=65', '68+64=132'] Exploring Operation: 132-65=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 2, 43, 30, 64 ]
41
[ "2+30=32", "64/32=2", "43-2=41" ]
Current State: 41:[2, 43, 30, 64], Operations: [] Exploring Operation: 2+30=32, Resulting Numbers: [43, 64, 32] Generated Node #2: [43, 64, 32] from Operation: 2+30=32 Current State: 41:[43, 64, 32], Operations: ['2+30=32'] Exploring Operation: 64/32=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 64/32=2 Current State: 41:[43, 2], Operations: ['2+30=32', '64/32=2'] Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 19, 97, 79, 27 ]
26
[ "97-19=78", "79-27=52", "78-52=26" ]
Current State: 26:[19, 97, 79, 27], Operations: [] Exploring Operation: 97-19=78, Resulting Numbers: [79, 27, 78] Generated Node #2: [79, 27, 78] from Operation: 97-19=78 Current State: 26:[79, 27, 78], Operations: ['97-19=78'] Exploring Operation: 79-27=52, Resulting Numbers: [78, 52] Generated Node #3: [78, 52] from Operation: 79-27=52 Current State: 26:[78, 52], Operations: ['97-19=78', '79-27=52'] Exploring Operation: 78-52=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 5, 7, 49, 67 ]
65
[ "5+67=72", "49/7=7", "72-7=65" ]
Current State: 65:[5, 7, 49, 67], Operations: [] Exploring Operation: 5+67=72, Resulting Numbers: [7, 49, 72] Generated Node #2: [7, 49, 72] from Operation: 5+67=72 Current State: 65:[7, 49, 72], Operations: ['5+67=72'] Exploring Operation: 49/7=7, Resulting Numbers: [72, 7] Generated Node #3: [72, 7] from Operation: 49/7=7 Current State: 65:[72, 7], Operations: ['5+67=72', '49/7=7'] Exploring Operation: 72-7=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 55, 19, 62, 24 ]
53
[ "62-24=38", "38/19=2", "55-2=53" ]
Current State: 53:[55, 19, 62, 24], Operations: [] Exploring Operation: 62-24=38, Resulting Numbers: [55, 19, 38] Generated Node #2: [55, 19, 38] from Operation: 62-24=38 Current State: 53:[55, 19, 38], Operations: ['62-24=38'] Exploring Operation: 38/19=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 38/19=2 Current State: 53:[55, 2], Operations: ['62-24=38', '38/19=2'] Exploring Operation: 55-2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 78, 30, 40, 26 ]
34
[ "78-30=48", "40-26=14", "48-14=34" ]
Current State: 34:[78, 30, 40, 26], Operations: [] Exploring Operation: 78-30=48, Resulting Numbers: [40, 26, 48] Generated Node #2: [40, 26, 48] from Operation: 78-30=48 Current State: 34:[40, 26, 48], Operations: ['78-30=48'] Exploring Operation: 40-26=14, Resulting Numbers: [48, 14] Generated Node #3: [48, 14] from Operation: 40-26=14 Current State: 34:[48, 14], Operations: ['78-30=48', '40-26=14'] Exploring Operation: 48-14=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 52, 80, 71, 41 ]
58
[ "80-52=28", "71-41=30", "28+30=58" ]
Current State: 58:[52, 80, 71, 41], Operations: [] Exploring Operation: 80-52=28, Resulting Numbers: [71, 41, 28] Generated Node #2: [71, 41, 28] from Operation: 80-52=28 Current State: 58:[71, 41, 28], Operations: ['80-52=28'] Exploring Operation: 71-41=30, Resulting Numbers: [28, 30] Generated Node #3: [28, 30] from Operation: 71-41=30 Current State: 58:[28, 30], Operations: ['80-52=28', '71-41=30'] Exploring Operation: 28+30=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 88, 64, 10, 26 ]
22
[ "26-10=16", "88*16=1408", "1408/64=22" ]
Current State: 22:[88, 64, 10, 26], Operations: [] Exploring Operation: 26-10=16, Resulting Numbers: [88, 64, 16] Generated Node #2: [88, 64, 16] from Operation: 26-10=16 Current State: 22:[88, 64, 16], Operations: ['26-10=16'] Exploring Operation: 88*16=1408, Resulting Numbers: [64, 1408] Generated Node #3: [64, 1408] from Operation: 88*16=1408 Current State: 22:[64, 1408], Operations: ['26-10=16', '88*16=1408'] Exploring Operation: 1408/64=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 6, 12, 89, 53 ]
71
[ "12/6=2", "89+53=142", "142/2=71" ]
Current State: 71:[6, 12, 89, 53], Operations: [] Exploring Operation: 12/6=2, Resulting Numbers: [89, 53, 2] Generated Node #2: [89, 53, 2] from Operation: 12/6=2 Current State: 71:[89, 53, 2], Operations: ['12/6=2'] Exploring Operation: 89+53=142, Resulting Numbers: [2, 142] Generated Node #3: [2, 142] from Operation: 89+53=142 Current State: 71:[2, 142], Operations: ['12/6=2', '89+53=142'] Exploring Operation: 142/2=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 46, 50, 60, 88 ]
38
[ "50-46=4", "88/4=22", "60-22=38" ]
Current State: 38:[46, 50, 60, 88], Operations: [] Exploring Operation: 50-46=4, Resulting Numbers: [60, 88, 4] Generated Node #2: [60, 88, 4] from Operation: 50-46=4 Current State: 38:[60, 88, 4], Operations: ['50-46=4'] Exploring Operation: 88/4=22, Resulting Numbers: [60, 22] Generated Node #3: [60, 22] from Operation: 88/4=22 Current State: 38:[60, 22], Operations: ['50-46=4', '88/4=22'] Exploring Operation: 60-22=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 89, 34, 21, 14 ]
93
[ "34-21=13", "14*13=182", "182-89=93" ]
Current State: 93:[89, 34, 21, 14], Operations: [] Exploring Operation: 34-21=13, Resulting Numbers: [89, 14, 13] Generated Node #2: [89, 14, 13] from Operation: 34-21=13 Current State: 93:[89, 14, 13], Operations: ['34-21=13'] Exploring Operation: 14*13=182, Resulting Numbers: [89, 182] Generated Node #3: [89, 182] from Operation: 14*13=182 Current State: 93:[89, 182], Operations: ['34-21=13', '14*13=182'] Exploring Operation: 182-89=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 17, 20, 45, 96 ]
39
[ "20-17=3", "45*3=135", "135-96=39" ]
Current State: 39:[17, 20, 45, 96], Operations: [] Exploring Operation: 20-17=3, Resulting Numbers: [45, 96, 3] Generated Node #2: [45, 96, 3] from Operation: 20-17=3 Current State: 39:[45, 96, 3], Operations: ['20-17=3'] Exploring Operation: 45*3=135, Resulting Numbers: [96, 135] Generated Node #3: [96, 135] from Operation: 45*3=135 Current State: 39:[96, 135], Operations: ['20-17=3', '45*3=135'] Exploring Operation: 135-96=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 19, 36, 63, 45 ]
38
[ "19*36=684", "63-45=18", "684/18=38" ]
Current State: 38:[19, 36, 63, 45], Operations: [] Exploring Operation: 19*36=684, Resulting Numbers: [63, 45, 684] Generated Node #2: [63, 45, 684] from Operation: 19*36=684 Current State: 38:[63, 45, 684], Operations: ['19*36=684'] Exploring Operation: 63-45=18, Resulting Numbers: [684, 18] Generated Node #3: [684, 18] from Operation: 63-45=18 Current State: 38:[684, 18], Operations: ['19*36=684', '63-45=18'] Exploring Operation: 684/18=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 15, 41, 2, 11 ]
93
[ "15+11=26", "2*26=52", "41+52=93" ]
Current State: 93:[15, 41, 2, 11], Operations: [] Exploring Operation: 15+11=26, Resulting Numbers: [41, 2, 26] Generated Node #2: [41, 2, 26] from Operation: 15+11=26 Current State: 93:[41, 2, 26], Operations: ['15+11=26'] Exploring Operation: 2*26=52, Resulting Numbers: [41, 52] Generated Node #3: [41, 52] from Operation: 2*26=52 Current State: 93:[41, 52], Operations: ['15+11=26', '2*26=52'] Exploring Operation: 41+52=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4