Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 54, 36, 62, 33 ]
80
[ "36-33=3", "54/3=18", "62+18=80" ]
Current State: 80:[54, 36, 62, 33], Operations: [] Exploring Operation: 36-33=3, Resulting Numbers: [54, 62, 3] Generated Node #2: [54, 62, 3] from Operation: 36-33=3 Current State: 80:[54, 62, 3], Operations: ['36-33=3'] Exploring Operation: 54/3=18, Resulting Numbers: [62, 18] Generated Node #3: [62, 18] from Operation: 54/3=18 Current State: 80:[62, 18], Operations: ['36-33=3', '54/3=18'] Exploring Operation: 62+18=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 41, 58, 15, 65 ]
18
[ "58+65=123", "123/41=3", "15+3=18" ]
Current State: 18:[41, 58, 15, 65], Operations: [] Exploring Operation: 58+65=123, Resulting Numbers: [41, 15, 123] Generated Node #2: [41, 15, 123] from Operation: 58+65=123 Current State: 18:[41, 15, 123], Operations: ['58+65=123'] Exploring Operation: 123/41=3, Resulting Numbers: [15, 3] Generated Node #3: [15, 3] from Operation: 123/41=3 Current State: 18:[15, 3], Operations: ['58+65=123', '123/41=3'] Exploring Operation: 15+3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 93, 13, 71, 22 ]
13
[ "93+13=106", "71+22=93", "106-93=13" ]
Current State: 13:[93, 13, 71, 22], Operations: [] Exploring Operation: 93+13=106, Resulting Numbers: [71, 22, 106] Generated Node #2: [71, 22, 106] from Operation: 93+13=106 Current State: 13:[71, 22, 106], Operations: ['93+13=106'] Exploring Operation: 71+22=93, Resulting Numbers: [106, 93] Generated Node #3: [106, 93] from Operation: 71+22=93 Current State: 13:[106, 93], Operations: ['93+13=106', '71+22=93'] Exploring Operation: 106-93=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 46, 64, 56, 34 ]
88
[ "46+64=110", "56-34=22", "110-22=88" ]
Current State: 88:[46, 64, 56, 34], Operations: [] Exploring Operation: 46+64=110, Resulting Numbers: [56, 34, 110] Generated Node #2: [56, 34, 110] from Operation: 46+64=110 Current State: 88:[56, 34, 110], Operations: ['46+64=110'] Exploring Operation: 56-34=22, Resulting Numbers: [110, 22] Generated Node #3: [110, 22] from Operation: 56-34=22 Current State: 88:[110, 22], Operations: ['46+64=110', '56-34=22'] Exploring Operation: 110-22=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 50, 49, 7, 76 ]
25
[ "50+49=99", "76+99=175", "175/7=25" ]
Current State: 25:[50, 49, 7, 76], Operations: [] Exploring Operation: 50+49=99, Resulting Numbers: [7, 76, 99] Generated Node #2: [7, 76, 99] from Operation: 50+49=99 Current State: 25:[7, 76, 99], Operations: ['50+49=99'] Exploring Operation: 76+99=175, Resulting Numbers: [7, 175] Generated Node #3: [7, 175] from Operation: 76+99=175 Current State: 25:[7, 175], Operations: ['50+49=99', '76+99=175'] Exploring Operation: 175/7=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 2, 17, 63, 67 ]
88
[ "2*67=134", "63-17=46", "134-46=88" ]
Current State: 88:[2, 17, 63, 67], Operations: [] Exploring Operation: 2*67=134, Resulting Numbers: [17, 63, 134] Generated Node #2: [17, 63, 134] from Operation: 2*67=134 Current State: 88:[17, 63, 134], Operations: ['2*67=134'] Exploring Operation: 63-17=46, Resulting Numbers: [134, 46] Generated Node #3: [134, 46] from Operation: 63-17=46 Current State: 88:[134, 46], Operations: ['2*67=134', '63-17=46'] Exploring Operation: 134-46=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 5, 20, 68, 16 ]
80
[ "20/5=4", "68+16=84", "84-4=80" ]
Current State: 80:[5, 20, 68, 16], Operations: [] Exploring Operation: 20/5=4, Resulting Numbers: [68, 16, 4] Generated Node #2: [68, 16, 4] from Operation: 20/5=4 Current State: 80:[68, 16, 4], Operations: ['20/5=4'] Exploring Operation: 68+16=84, Resulting Numbers: [4, 84] Generated Node #3: [4, 84] from Operation: 68+16=84 Current State: 80:[4, 84], Operations: ['20/5=4', '68+16=84'] Exploring Operation: 84-4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 5, 60, 87, 72 ]
80
[ "5+60=65", "87-72=15", "65+15=80" ]
Current State: 80:[5, 60, 87, 72], Operations: [] Exploring Operation: 5+60=65, Resulting Numbers: [87, 72, 65] Generated Node #2: [87, 72, 65] from Operation: 5+60=65 Current State: 80:[87, 72, 65], Operations: ['5+60=65'] Exploring Operation: 87-72=15, Resulting Numbers: [65, 15] Generated Node #3: [65, 15] from Operation: 87-72=15 Current State: 80:[65, 15], Operations: ['5+60=65', '87-72=15'] Exploring Operation: 65+15=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 34, 24, 55, 4 ]
15
[ "34-24=10", "4*10=40", "55-40=15" ]
Current State: 15:[34, 24, 55, 4], Operations: [] Exploring Operation: 34-24=10, Resulting Numbers: [55, 4, 10] Generated Node #2: [55, 4, 10] from Operation: 34-24=10 Current State: 15:[55, 4, 10], Operations: ['34-24=10'] Exploring Operation: 4*10=40, Resulting Numbers: [55, 40] Generated Node #3: [55, 40] from Operation: 4*10=40 Current State: 15:[55, 40], Operations: ['34-24=10', '4*10=40'] Exploring Operation: 55-40=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 69, 75, 4, 49 ]
38
[ "75+49=124", "124/4=31", "69-31=38" ]
Current State: 38:[69, 75, 4, 49], Operations: [] Exploring Operation: 75+49=124, Resulting Numbers: [69, 4, 124] Generated Node #2: [69, 4, 124] from Operation: 75+49=124 Current State: 38:[69, 4, 124], Operations: ['75+49=124'] Exploring Operation: 124/4=31, Resulting Numbers: [69, 31] Generated Node #3: [69, 31] from Operation: 124/4=31 Current State: 38:[69, 31], Operations: ['75+49=124', '124/4=31'] Exploring Operation: 69-31=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 77, 68, 40, 54 ]
85
[ "77-68=9", "40+54=94", "94-9=85" ]
Current State: 85:[77, 68, 40, 54], Operations: [] Exploring Operation: 77-68=9, Resulting Numbers: [40, 54, 9] Generated Node #2: [40, 54, 9] from Operation: 77-68=9 Current State: 85:[40, 54, 9], Operations: ['77-68=9'] Exploring Operation: 40+54=94, Resulting Numbers: [9, 94] Generated Node #3: [9, 94] from Operation: 40+54=94 Current State: 85:[9, 94], Operations: ['77-68=9', '40+54=94'] Exploring Operation: 94-9=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 10, 63, 96, 2 ]
75
[ "10-2=8", "96/8=12", "63+12=75" ]
Current State: 75:[10, 63, 96, 2], Operations: [] Exploring Operation: 10-2=8, Resulting Numbers: [63, 96, 8] Generated Node #2: [63, 96, 8] from Operation: 10-2=8 Current State: 75:[63, 96, 8], Operations: ['10-2=8'] Exploring Operation: 96/8=12, Resulting Numbers: [63, 12] Generated Node #3: [63, 12] from Operation: 96/8=12 Current State: 75:[63, 12], Operations: ['10-2=8', '96/8=12'] Exploring Operation: 63+12=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 4, 3, 7, 29 ]
41
[ "4*29=116", "7+116=123", "123/3=41" ]
Current State: 41:[4, 3, 7, 29], Operations: [] Exploring Operation: 4*29=116, Resulting Numbers: [3, 7, 116] Generated Node #2: [3, 7, 116] from Operation: 4*29=116 Current State: 41:[3, 7, 116], Operations: ['4*29=116'] Exploring Operation: 7+116=123, Resulting Numbers: [3, 123] Generated Node #3: [3, 123] from Operation: 7+116=123 Current State: 41:[3, 123], Operations: ['4*29=116', '7+116=123'] Exploring Operation: 123/3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 15, 16, 54, 7 ]
42
[ "15*16=240", "54+240=294", "294/7=42" ]
Current State: 42:[15, 16, 54, 7], Operations: [] Exploring Operation: 15*16=240, Resulting Numbers: [54, 7, 240] Generated Node #2: [54, 7, 240] from Operation: 15*16=240 Current State: 42:[54, 7, 240], Operations: ['15*16=240'] Exploring Operation: 54+240=294, Resulting Numbers: [7, 294] Generated Node #3: [7, 294] from Operation: 54+240=294 Current State: 42:[7, 294], Operations: ['15*16=240', '54+240=294'] Exploring Operation: 294/7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 18, 85, 23, 90 ]
96
[ "85+23=108", "108/18=6", "90+6=96" ]
Current State: 96:[18, 85, 23, 90], Operations: [] Exploring Operation: 85+23=108, Resulting Numbers: [18, 90, 108] Generated Node #2: [18, 90, 108] from Operation: 85+23=108 Current State: 96:[18, 90, 108], Operations: ['85+23=108'] Exploring Operation: 108/18=6, Resulting Numbers: [90, 6] Generated Node #3: [90, 6] from Operation: 108/18=6 Current State: 96:[90, 6], Operations: ['85+23=108', '108/18=6'] Exploring Operation: 90+6=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 84, 36, 26, 76 ]
80
[ "84-76=8", "36-26=10", "8*10=80" ]
Current State: 80:[84, 36, 26, 76], Operations: [] Exploring Operation: 84-76=8, Resulting Numbers: [36, 26, 8] Generated Node #2: [36, 26, 8] from Operation: 84-76=8 Current State: 80:[36, 26, 8], Operations: ['84-76=8'] Exploring Operation: 36-26=10, Resulting Numbers: [8, 10] Generated Node #3: [8, 10] from Operation: 36-26=10 Current State: 80:[8, 10], Operations: ['84-76=8', '36-26=10'] Exploring Operation: 8*10=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 79, 99, 66, 13 ]
98
[ "79-66=13", "13/13=1", "99-1=98" ]
Current State: 98:[79, 99, 66, 13], Operations: [] Exploring Operation: 79-66=13, Resulting Numbers: [99, 13, 13] Generated Node #2: [99, 13, 13] from Operation: 79-66=13 Current State: 98:[99, 13, 13], Operations: ['79-66=13'] Exploring Operation: 13/13=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 13/13=1 Current State: 98:[99, 1], Operations: ['79-66=13', '13/13=1'] Exploring Operation: 99-1=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 98, 13, 22, 98 ]
36
[ "98/98=1", "13+22=35", "1+35=36" ]
Current State: 36:[98, 13, 22, 98], Operations: [] Exploring Operation: 98/98=1, Resulting Numbers: [13, 22, 1] Generated Node #2: [13, 22, 1] from Operation: 98/98=1 Current State: 36:[13, 22, 1], Operations: ['98/98=1'] Exploring Operation: 13+22=35, Resulting Numbers: [1, 35] Generated Node #3: [1, 35] from Operation: 13+22=35 Current State: 36:[1, 35], Operations: ['98/98=1', '13+22=35'] Exploring Operation: 1+35=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 89, 58, 30, 35 ]
35
[ "89-58=31", "31-30=1", "35*1=35" ]
Current State: 35:[89, 58, 30, 35], Operations: [] Exploring Operation: 89-58=31, Resulting Numbers: [30, 35, 31] Generated Node #2: [30, 35, 31] from Operation: 89-58=31 Current State: 35:[30, 35, 31], Operations: ['89-58=31'] Exploring Operation: 31-30=1, Resulting Numbers: [35, 1] Generated Node #3: [35, 1] from Operation: 31-30=1 Current State: 35:[35, 1], Operations: ['89-58=31', '31-30=1'] Exploring Operation: 35*1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 81, 27, 21, 30 ]
12
[ "81+27=108", "30-21=9", "108/9=12" ]
Current State: 12:[81, 27, 21, 30], Operations: [] Exploring Operation: 81+27=108, Resulting Numbers: [21, 30, 108] Generated Node #2: [21, 30, 108] from Operation: 81+27=108 Current State: 12:[21, 30, 108], Operations: ['81+27=108'] Exploring Operation: 30-21=9, Resulting Numbers: [108, 9] Generated Node #3: [108, 9] from Operation: 30-21=9 Current State: 12:[108, 9], Operations: ['81+27=108', '30-21=9'] Exploring Operation: 108/9=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 27, 14, 70, 38 ]
95
[ "27-14=13", "70+38=108", "108-13=95" ]
Current State: 95:[27, 14, 70, 38], Operations: [] Exploring Operation: 27-14=13, Resulting Numbers: [70, 38, 13] Generated Node #2: [70, 38, 13] from Operation: 27-14=13 Current State: 95:[70, 38, 13], Operations: ['27-14=13'] Exploring Operation: 70+38=108, Resulting Numbers: [13, 108] Generated Node #3: [13, 108] from Operation: 70+38=108 Current State: 95:[13, 108], Operations: ['27-14=13', '70+38=108'] Exploring Operation: 108-13=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 57, 92, 70, 58 ]
56
[ "92-57=35", "70/35=2", "58-2=56" ]
Current State: 56:[57, 92, 70, 58], Operations: [] Exploring Operation: 92-57=35, Resulting Numbers: [70, 58, 35] Generated Node #2: [70, 58, 35] from Operation: 92-57=35 Current State: 56:[70, 58, 35], Operations: ['92-57=35'] Exploring Operation: 70/35=2, Resulting Numbers: [58, 2] Generated Node #3: [58, 2] from Operation: 70/35=2 Current State: 56:[58, 2], Operations: ['92-57=35', '70/35=2'] Exploring Operation: 58-2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 20, 97, 82, 38 ]
73
[ "20+97=117", "82-38=44", "117-44=73" ]
Current State: 73:[20, 97, 82, 38], Operations: [] Exploring Operation: 20+97=117, Resulting Numbers: [82, 38, 117] Generated Node #2: [82, 38, 117] from Operation: 20+97=117 Current State: 73:[82, 38, 117], Operations: ['20+97=117'] Exploring Operation: 82-38=44, Resulting Numbers: [117, 44] Generated Node #3: [117, 44] from Operation: 82-38=44 Current State: 73:[117, 44], Operations: ['20+97=117', '82-38=44'] Exploring Operation: 117-44=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 90, 37, 50, 29 ]
30
[ "90*29=2610", "37+50=87", "2610/87=30" ]
Current State: 30:[90, 37, 50, 29], Operations: [] Exploring Operation: 90*29=2610, Resulting Numbers: [37, 50, 2610] Generated Node #2: [37, 50, 2610] from Operation: 90*29=2610 Current State: 30:[37, 50, 2610], Operations: ['90*29=2610'] Exploring Operation: 37+50=87, Resulting Numbers: [2610, 87] Generated Node #3: [2610, 87] from Operation: 37+50=87 Current State: 30:[2610, 87], Operations: ['90*29=2610', '37+50=87'] Exploring Operation: 2610/87=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 38, 7, 21, 35 ]
64
[ "38+21=59", "35/7=5", "59+5=64" ]
Current State: 64:[38, 7, 21, 35], Operations: [] Exploring Operation: 38+21=59, Resulting Numbers: [7, 35, 59] Generated Node #2: [7, 35, 59] from Operation: 38+21=59 Current State: 64:[7, 35, 59], Operations: ['38+21=59'] Exploring Operation: 35/7=5, Resulting Numbers: [59, 5] Generated Node #3: [59, 5] from Operation: 35/7=5 Current State: 64:[59, 5], Operations: ['38+21=59', '35/7=5'] Exploring Operation: 59+5=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 22, 52, 42, 98 ]
28
[ "22*98=2156", "52*42=2184", "2184-2156=28" ]
Current State: 28:[22, 52, 42, 98], Operations: [] Exploring Operation: 22*98=2156, Resulting Numbers: [52, 42, 2156] Generated Node #2: [52, 42, 2156] from Operation: 22*98=2156 Current State: 28:[52, 42, 2156], Operations: ['22*98=2156'] Exploring Operation: 52*42=2184, Resulting Numbers: [2156, 2184] Generated Node #3: [2156, 2184] from Operation: 52*42=2184 Current State: 28:[2156, 2184], Operations: ['22*98=2156', '52*42=2184'] Exploring Operation: 2184-2156=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 7, 89, 63, 6 ]
68
[ "7*6=42", "89-63=26", "42+26=68" ]
Current State: 68:[7, 89, 63, 6], Operations: [] Exploring Operation: 7*6=42, Resulting Numbers: [89, 63, 42] Generated Node #2: [89, 63, 42] from Operation: 7*6=42 Current State: 68:[89, 63, 42], Operations: ['7*6=42'] Exploring Operation: 89-63=26, Resulting Numbers: [42, 26] Generated Node #3: [42, 26] from Operation: 89-63=26 Current State: 68:[42, 26], Operations: ['7*6=42', '89-63=26'] Exploring Operation: 42+26=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 2, 70, 14, 83 ]
80
[ "2+83=85", "70/14=5", "85-5=80" ]
Current State: 80:[2, 70, 14, 83], Operations: [] Exploring Operation: 2+83=85, Resulting Numbers: [70, 14, 85] Generated Node #2: [70, 14, 85] from Operation: 2+83=85 Current State: 80:[70, 14, 85], Operations: ['2+83=85'] Exploring Operation: 70/14=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 70/14=5 Current State: 80:[85, 5], Operations: ['2+83=85', '70/14=5'] Exploring Operation: 85-5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 61, 15, 78, 55 ]
69
[ "61-15=46", "78-55=23", "46+23=69" ]
Current State: 69:[61, 15, 78, 55], Operations: [] Exploring Operation: 61-15=46, Resulting Numbers: [78, 55, 46] Generated Node #2: [78, 55, 46] from Operation: 61-15=46 Current State: 69:[78, 55, 46], Operations: ['61-15=46'] Exploring Operation: 78-55=23, Resulting Numbers: [46, 23] Generated Node #3: [46, 23] from Operation: 78-55=23 Current State: 69:[46, 23], Operations: ['61-15=46', '78-55=23'] Exploring Operation: 46+23=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 8, 2, 64, 89 ]
31
[ "8-2=6", "89-64=25", "6+25=31" ]
Current State: 31:[8, 2, 64, 89], Operations: [] Exploring Operation: 8-2=6, Resulting Numbers: [64, 89, 6] Generated Node #2: [64, 89, 6] from Operation: 8-2=6 Current State: 31:[64, 89, 6], Operations: ['8-2=6'] Exploring Operation: 89-64=25, Resulting Numbers: [6, 25] Generated Node #3: [6, 25] from Operation: 89-64=25 Current State: 31:[6, 25], Operations: ['8-2=6', '89-64=25'] Exploring Operation: 6+25=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 62, 24, 58, 65 ]
50
[ "65-62=3", "24/3=8", "58-8=50" ]
Current State: 50:[62, 24, 58, 65], Operations: [] Exploring Operation: 65-62=3, Resulting Numbers: [24, 58, 3] Generated Node #2: [24, 58, 3] from Operation: 65-62=3 Current State: 50:[24, 58, 3], Operations: ['65-62=3'] Exploring Operation: 24/3=8, Resulting Numbers: [58, 8] Generated Node #3: [58, 8] from Operation: 24/3=8 Current State: 50:[58, 8], Operations: ['65-62=3', '24/3=8'] Exploring Operation: 58-8=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 19, 78, 2, 5 ]
51
[ "19+78=97", "5+97=102", "102/2=51" ]
Current State: 51:[19, 78, 2, 5], Operations: [] Exploring Operation: 19+78=97, Resulting Numbers: [2, 5, 97] Generated Node #2: [2, 5, 97] from Operation: 19+78=97 Current State: 51:[2, 5, 97], Operations: ['19+78=97'] Exploring Operation: 5+97=102, Resulting Numbers: [2, 102] Generated Node #3: [2, 102] from Operation: 5+97=102 Current State: 51:[2, 102], Operations: ['19+78=97', '5+97=102'] Exploring Operation: 102/2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 35, 10, 70, 73 ]
81
[ "70/35=2", "10+73=83", "83-2=81" ]
Current State: 81:[35, 10, 70, 73], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [10, 73, 2] Generated Node #2: [10, 73, 2] from Operation: 70/35=2 Current State: 81:[10, 73, 2], Operations: ['70/35=2'] Exploring Operation: 10+73=83, Resulting Numbers: [2, 83] Generated Node #3: [2, 83] from Operation: 10+73=83 Current State: 81:[2, 83], Operations: ['70/35=2', '10+73=83'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 40, 5, 10, 19 ]
37
[ "40/5=8", "10+19=29", "8+29=37" ]
Current State: 37:[40, 5, 10, 19], Operations: [] Exploring Operation: 40/5=8, Resulting Numbers: [10, 19, 8] Generated Node #2: [10, 19, 8] from Operation: 40/5=8 Current State: 37:[10, 19, 8], Operations: ['40/5=8'] Exploring Operation: 10+19=29, Resulting Numbers: [8, 29] Generated Node #3: [8, 29] from Operation: 10+19=29 Current State: 37:[8, 29], Operations: ['40/5=8', '10+19=29'] Exploring Operation: 8+29=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 44, 19, 33, 66 ]
41
[ "44*33=1452", "1452/66=22", "19+22=41" ]
Current State: 41:[44, 19, 33, 66], Operations: [] Exploring Operation: 44*33=1452, Resulting Numbers: [19, 66, 1452] Generated Node #2: [19, 66, 1452] from Operation: 44*33=1452 Current State: 41:[19, 66, 1452], Operations: ['44*33=1452'] Exploring Operation: 1452/66=22, Resulting Numbers: [19, 22] Generated Node #3: [19, 22] from Operation: 1452/66=22 Current State: 41:[19, 22], Operations: ['44*33=1452', '1452/66=22'] Exploring Operation: 19+22=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 87, 43, 56, 26 ]
61
[ "87+43=130", "130/26=5", "56+5=61" ]
Current State: 61:[87, 43, 56, 26], Operations: [] Exploring Operation: 87+43=130, Resulting Numbers: [56, 26, 130] Generated Node #2: [56, 26, 130] from Operation: 87+43=130 Current State: 61:[56, 26, 130], Operations: ['87+43=130'] Exploring Operation: 130/26=5, Resulting Numbers: [56, 5] Generated Node #3: [56, 5] from Operation: 130/26=5 Current State: 61:[56, 5], Operations: ['87+43=130', '130/26=5'] Exploring Operation: 56+5=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 2, 60, 11, 91 ]
53
[ "2+11=13", "91/13=7", "60-7=53" ]
Current State: 53:[2, 60, 11, 91], Operations: [] Exploring Operation: 2+11=13, Resulting Numbers: [60, 91, 13] Generated Node #2: [60, 91, 13] from Operation: 2+11=13 Current State: 53:[60, 91, 13], Operations: ['2+11=13'] Exploring Operation: 91/13=7, Resulting Numbers: [60, 7] Generated Node #3: [60, 7] from Operation: 91/13=7 Current State: 53:[60, 7], Operations: ['2+11=13', '91/13=7'] Exploring Operation: 60-7=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 71, 67, 48, 63 ]
61
[ "71-63=8", "48/8=6", "67-6=61" ]
Current State: 61:[71, 67, 48, 63], Operations: [] Exploring Operation: 71-63=8, Resulting Numbers: [67, 48, 8] Generated Node #2: [67, 48, 8] from Operation: 71-63=8 Current State: 61:[67, 48, 8], Operations: ['71-63=8'] Exploring Operation: 48/8=6, Resulting Numbers: [67, 6] Generated Node #3: [67, 6] from Operation: 48/8=6 Current State: 61:[67, 6], Operations: ['71-63=8', '48/8=6'] Exploring Operation: 67-6=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 6, 35, 19, 21 ]
27
[ "35-6=29", "21-19=2", "29-2=27" ]
Current State: 27:[6, 35, 19, 21], Operations: [] Exploring Operation: 35-6=29, Resulting Numbers: [19, 21, 29] Generated Node #2: [19, 21, 29] from Operation: 35-6=29 Current State: 27:[19, 21, 29], Operations: ['35-6=29'] Exploring Operation: 21-19=2, Resulting Numbers: [29, 2] Generated Node #3: [29, 2] from Operation: 21-19=2 Current State: 27:[29, 2], Operations: ['35-6=29', '21-19=2'] Exploring Operation: 29-2=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 95, 74, 90, 72 ]
85
[ "74-72=2", "90*2=180", "180-95=85" ]
Current State: 85:[95, 74, 90, 72], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [95, 90, 2] Generated Node #2: [95, 90, 2] from Operation: 74-72=2 Current State: 85:[95, 90, 2], Operations: ['74-72=2'] Exploring Operation: 90*2=180, Resulting Numbers: [95, 180] Generated Node #3: [95, 180] from Operation: 90*2=180 Current State: 85:[95, 180], Operations: ['74-72=2', '90*2=180'] Exploring Operation: 180-95=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 23, 19, 22, 24 ]
93
[ "22-19=3", "23*3=69", "24+69=93" ]
Current State: 93:[23, 19, 22, 24], Operations: [] Exploring Operation: 22-19=3, Resulting Numbers: [23, 24, 3] Generated Node #2: [23, 24, 3] from Operation: 22-19=3 Current State: 93:[23, 24, 3], Operations: ['22-19=3'] Exploring Operation: 23*3=69, Resulting Numbers: [24, 69] Generated Node #3: [24, 69] from Operation: 23*3=69 Current State: 93:[24, 69], Operations: ['22-19=3', '23*3=69'] Exploring Operation: 24+69=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 54, 34, 87, 45 ]
22
[ "54-34=20", "87-45=42", "42-20=22" ]
Current State: 22:[54, 34, 87, 45], Operations: [] Exploring Operation: 54-34=20, Resulting Numbers: [87, 45, 20] Generated Node #2: [87, 45, 20] from Operation: 54-34=20 Current State: 22:[87, 45, 20], Operations: ['54-34=20'] Exploring Operation: 87-45=42, Resulting Numbers: [20, 42] Generated Node #3: [20, 42] from Operation: 87-45=42 Current State: 22:[20, 42], Operations: ['54-34=20', '87-45=42'] Exploring Operation: 42-20=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 34, 32, 96, 69 ]
25
[ "34-32=2", "96-69=27", "27-2=25" ]
Current State: 25:[34, 32, 96, 69], Operations: [] Exploring Operation: 34-32=2, Resulting Numbers: [96, 69, 2] Generated Node #2: [96, 69, 2] from Operation: 34-32=2 Current State: 25:[96, 69, 2], Operations: ['34-32=2'] Exploring Operation: 96-69=27, Resulting Numbers: [2, 27] Generated Node #3: [2, 27] from Operation: 96-69=27 Current State: 25:[2, 27], Operations: ['34-32=2', '96-69=27'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 26, 69, 92, 44 ]
92
[ "69-26=43", "44-43=1", "92*1=92" ]
Current State: 92:[26, 69, 92, 44], Operations: [] Exploring Operation: 69-26=43, Resulting Numbers: [92, 44, 43] Generated Node #2: [92, 44, 43] from Operation: 69-26=43 Current State: 92:[92, 44, 43], Operations: ['69-26=43'] Exploring Operation: 44-43=1, Resulting Numbers: [92, 1] Generated Node #3: [92, 1] from Operation: 44-43=1 Current State: 92:[92, 1], Operations: ['69-26=43', '44-43=1'] Exploring Operation: 92*1=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 75, 87, 94, 71 ]
28
[ "75-71=4", "94-87=7", "4*7=28" ]
Current State: 28:[75, 87, 94, 71], Operations: [] Exploring Operation: 75-71=4, Resulting Numbers: [87, 94, 4] Generated Node #2: [87, 94, 4] from Operation: 75-71=4 Current State: 28:[87, 94, 4], Operations: ['75-71=4'] Exploring Operation: 94-87=7, Resulting Numbers: [4, 7] Generated Node #3: [4, 7] from Operation: 94-87=7 Current State: 28:[4, 7], Operations: ['75-71=4', '94-87=7'] Exploring Operation: 4*7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 57, 63, 36, 82 ]
40
[ "63-57=6", "82-36=46", "46-6=40" ]
Current State: 40:[57, 63, 36, 82], Operations: [] Exploring Operation: 63-57=6, Resulting Numbers: [36, 82, 6] Generated Node #2: [36, 82, 6] from Operation: 63-57=6 Current State: 40:[36, 82, 6], Operations: ['63-57=6'] Exploring Operation: 82-36=46, Resulting Numbers: [6, 46] Generated Node #3: [6, 46] from Operation: 82-36=46 Current State: 40:[6, 46], Operations: ['63-57=6', '82-36=46'] Exploring Operation: 46-6=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 94, 55, 52, 60 ]
45
[ "94-55=39", "60*39=2340", "2340/52=45" ]
Current State: 45:[94, 55, 52, 60], Operations: [] Exploring Operation: 94-55=39, Resulting Numbers: [52, 60, 39] Generated Node #2: [52, 60, 39] from Operation: 94-55=39 Current State: 45:[52, 60, 39], Operations: ['94-55=39'] Exploring Operation: 60*39=2340, Resulting Numbers: [52, 2340] Generated Node #3: [52, 2340] from Operation: 60*39=2340 Current State: 45:[52, 2340], Operations: ['94-55=39', '60*39=2340'] Exploring Operation: 2340/52=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 17, 79, 19, 68 ]
25
[ "79-17=62", "19+68=87", "87-62=25" ]
Current State: 25:[17, 79, 19, 68], Operations: [] Exploring Operation: 79-17=62, Resulting Numbers: [19, 68, 62] Generated Node #2: [19, 68, 62] from Operation: 79-17=62 Current State: 25:[19, 68, 62], Operations: ['79-17=62'] Exploring Operation: 19+68=87, Resulting Numbers: [62, 87] Generated Node #3: [62, 87] from Operation: 19+68=87 Current State: 25:[62, 87], Operations: ['79-17=62', '19+68=87'] Exploring Operation: 87-62=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 66, 45, 75, 45 ]
39
[ "66*45=2970", "2970-45=2925", "2925/75=39" ]
Current State: 39:[66, 45, 75, 45], Operations: [] Exploring Operation: 66*45=2970, Resulting Numbers: [75, 2970] Generated Node #2: [75, 2970] from Operation: 66*45=2970 Current State: 39:[75, 2970], Operations: ['66*45=2970'] Exploring Operation: 2970-45=2925, Resulting Numbers: [75, 2925] Generated Node #3: [75, 2925] from Operation: 2970-45=2925 Current State: 39:[75, 2925], Operations: ['66*45=2970', '2970-45=2925'] Exploring Operation: 2925/75=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 10, 2, 29, 25 ]
41
[ "10+25=35", "2*35=70", "70-29=41" ]
Current State: 41:[10, 2, 29, 25], Operations: [] Exploring Operation: 10+25=35, Resulting Numbers: [2, 29, 35] Generated Node #2: [2, 29, 35] from Operation: 10+25=35 Current State: 41:[2, 29, 35], Operations: ['10+25=35'] Exploring Operation: 2*35=70, Resulting Numbers: [29, 70] Generated Node #3: [29, 70] from Operation: 2*35=70 Current State: 41:[29, 70], Operations: ['10+25=35', '2*35=70'] Exploring Operation: 70-29=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 39, 25, 17, 56 ]
21
[ "39-25=14", "56/14=4", "17+4=21" ]
Current State: 21:[39, 25, 17, 56], Operations: [] Exploring Operation: 39-25=14, Resulting Numbers: [17, 56, 14] Generated Node #2: [17, 56, 14] from Operation: 39-25=14 Current State: 21:[17, 56, 14], Operations: ['39-25=14'] Exploring Operation: 56/14=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 56/14=4 Current State: 21:[17, 4], Operations: ['39-25=14', '56/14=4'] Exploring Operation: 17+4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 25, 93, 32, 13 ]
99
[ "25+93=118", "32-13=19", "118-19=99" ]
Current State: 99:[25, 93, 32, 13], Operations: [] Exploring Operation: 25+93=118, Resulting Numbers: [32, 13, 118] Generated Node #2: [32, 13, 118] from Operation: 25+93=118 Current State: 99:[32, 13, 118], Operations: ['25+93=118'] Exploring Operation: 32-13=19, Resulting Numbers: [118, 19] Generated Node #3: [118, 19] from Operation: 32-13=19 Current State: 99:[118, 19], Operations: ['25+93=118', '32-13=19'] Exploring Operation: 118-19=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 40, 64, 52, 88 ]
44
[ "40+64=104", "52*88=4576", "4576/104=44" ]
Current State: 44:[40, 64, 52, 88], Operations: [] Exploring Operation: 40+64=104, Resulting Numbers: [52, 88, 104] Generated Node #2: [52, 88, 104] from Operation: 40+64=104 Current State: 44:[52, 88, 104], Operations: ['40+64=104'] Exploring Operation: 52*88=4576, Resulting Numbers: [104, 4576] Generated Node #3: [104, 4576] from Operation: 52*88=4576 Current State: 44:[104, 4576], Operations: ['40+64=104', '52*88=4576'] Exploring Operation: 4576/104=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 21, 81, 6, 64 ]
81
[ "21+81=102", "102/6=17", "64+17=81" ]
Current State: 81:[21, 81, 6, 64], Operations: [] Exploring Operation: 21+81=102, Resulting Numbers: [6, 64, 102] Generated Node #2: [6, 64, 102] from Operation: 21+81=102 Current State: 81:[6, 64, 102], Operations: ['21+81=102'] Exploring Operation: 102/6=17, Resulting Numbers: [64, 17] Generated Node #3: [64, 17] from Operation: 102/6=17 Current State: 81:[64, 17], Operations: ['21+81=102', '102/6=17'] Exploring Operation: 64+17=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 28, 38, 24, 11 ]
18
[ "28+38=66", "66/11=6", "24-6=18" ]
Current State: 18:[28, 38, 24, 11], Operations: [] Exploring Operation: 28+38=66, Resulting Numbers: [24, 11, 66] Generated Node #2: [24, 11, 66] from Operation: 28+38=66 Current State: 18:[24, 11, 66], Operations: ['28+38=66'] Exploring Operation: 66/11=6, Resulting Numbers: [24, 6] Generated Node #3: [24, 6] from Operation: 66/11=6 Current State: 18:[24, 6], Operations: ['28+38=66', '66/11=6'] Exploring Operation: 24-6=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 15, 3, 57, 90 ]
34
[ "57+90=147", "147/3=49", "49-15=34" ]
Current State: 34:[15, 3, 57, 90], Operations: [] Exploring Operation: 57+90=147, Resulting Numbers: [15, 3, 147] Generated Node #2: [15, 3, 147] from Operation: 57+90=147 Current State: 34:[15, 3, 147], Operations: ['57+90=147'] Exploring Operation: 147/3=49, Resulting Numbers: [15, 49] Generated Node #3: [15, 49] from Operation: 147/3=49 Current State: 34:[15, 49], Operations: ['57+90=147', '147/3=49'] Exploring Operation: 49-15=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 6, 57, 20, 27 ]
100
[ "57-27=30", "30/6=5", "20*5=100" ]
Current State: 100:[6, 57, 20, 27], Operations: [] Exploring Operation: 57-27=30, Resulting Numbers: [6, 20, 30] Generated Node #2: [6, 20, 30] from Operation: 57-27=30 Current State: 100:[6, 20, 30], Operations: ['57-27=30'] Exploring Operation: 30/6=5, Resulting Numbers: [20, 5] Generated Node #3: [20, 5] from Operation: 30/6=5 Current State: 100:[20, 5], Operations: ['57-27=30', '30/6=5'] Exploring Operation: 20*5=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 41, 38, 94, 18 ]
73
[ "41-38=3", "94-18=76", "76-3=73" ]
Current State: 73:[41, 38, 94, 18], Operations: [] Exploring Operation: 41-38=3, Resulting Numbers: [94, 18, 3] Generated Node #2: [94, 18, 3] from Operation: 41-38=3 Current State: 73:[94, 18, 3], Operations: ['41-38=3'] Exploring Operation: 94-18=76, Resulting Numbers: [3, 76] Generated Node #3: [3, 76] from Operation: 94-18=76 Current State: 73:[3, 76], Operations: ['41-38=3', '94-18=76'] Exploring Operation: 76-3=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 16, 34, 62, 64 ]
52
[ "16+34=50", "64-62=2", "50+2=52" ]
Current State: 52:[16, 34, 62, 64], Operations: [] Exploring Operation: 16+34=50, Resulting Numbers: [62, 64, 50] Generated Node #2: [62, 64, 50] from Operation: 16+34=50 Current State: 52:[62, 64, 50], Operations: ['16+34=50'] Exploring Operation: 64-62=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 64-62=2 Current State: 52:[50, 2], Operations: ['16+34=50', '64-62=2'] Exploring Operation: 50+2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 31, 55, 5, 15 ]
14
[ "55-31=24", "15-5=10", "24-10=14" ]
Current State: 14:[31, 55, 5, 15], Operations: [] Exploring Operation: 55-31=24, Resulting Numbers: [5, 15, 24] Generated Node #2: [5, 15, 24] from Operation: 55-31=24 Current State: 14:[5, 15, 24], Operations: ['55-31=24'] Exploring Operation: 15-5=10, Resulting Numbers: [24, 10] Generated Node #3: [24, 10] from Operation: 15-5=10 Current State: 14:[24, 10], Operations: ['55-31=24', '15-5=10'] Exploring Operation: 24-10=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 20, 53, 92, 71 ]
54
[ "53-20=33", "92-71=21", "33+21=54" ]
Current State: 54:[20, 53, 92, 71], Operations: [] Exploring Operation: 53-20=33, Resulting Numbers: [92, 71, 33] Generated Node #2: [92, 71, 33] from Operation: 53-20=33 Current State: 54:[92, 71, 33], Operations: ['53-20=33'] Exploring Operation: 92-71=21, Resulting Numbers: [33, 21] Generated Node #3: [33, 21] from Operation: 92-71=21 Current State: 54:[33, 21], Operations: ['53-20=33', '92-71=21'] Exploring Operation: 33+21=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 61, 30, 15, 42 ]
88
[ "61-30=31", "15+42=57", "31+57=88" ]
Current State: 88:[61, 30, 15, 42], Operations: [] Exploring Operation: 61-30=31, Resulting Numbers: [15, 42, 31] Generated Node #2: [15, 42, 31] from Operation: 61-30=31 Current State: 88:[15, 42, 31], Operations: ['61-30=31'] Exploring Operation: 15+42=57, Resulting Numbers: [31, 57] Generated Node #3: [31, 57] from Operation: 15+42=57 Current State: 88:[31, 57], Operations: ['61-30=31', '15+42=57'] Exploring Operation: 31+57=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 12, 21, 48, 20 ]
60
[ "12+48=60", "21-20=1", "60*1=60" ]
Current State: 60:[12, 21, 48, 20], Operations: [] Exploring Operation: 12+48=60, Resulting Numbers: [21, 20, 60] Generated Node #2: [21, 20, 60] from Operation: 12+48=60 Current State: 60:[21, 20, 60], Operations: ['12+48=60'] Exploring Operation: 21-20=1, Resulting Numbers: [60, 1] Generated Node #3: [60, 1] from Operation: 21-20=1 Current State: 60:[60, 1], Operations: ['12+48=60', '21-20=1'] Exploring Operation: 60*1=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 6, 50, 36, 2 ]
40
[ "6+50=56", "56-36=20", "2*20=40" ]
Current State: 40:[6, 50, 36, 2], Operations: [] Exploring Operation: 6+50=56, Resulting Numbers: [36, 2, 56] Generated Node #2: [36, 2, 56] from Operation: 6+50=56 Current State: 40:[36, 2, 56], Operations: ['6+50=56'] Exploring Operation: 56-36=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 56-36=20 Current State: 40:[2, 20], Operations: ['6+50=56', '56-36=20'] Exploring Operation: 2*20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 9, 92, 25, 75 ]
80
[ "92-9=83", "75/25=3", "83-3=80" ]
Current State: 80:[9, 92, 25, 75], Operations: [] Exploring Operation: 92-9=83, Resulting Numbers: [25, 75, 83] Generated Node #2: [25, 75, 83] from Operation: 92-9=83 Current State: 80:[25, 75, 83], Operations: ['92-9=83'] Exploring Operation: 75/25=3, Resulting Numbers: [83, 3] Generated Node #3: [83, 3] from Operation: 75/25=3 Current State: 80:[83, 3], Operations: ['92-9=83', '75/25=3'] Exploring Operation: 83-3=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 37, 81, 29, 33 ]
13
[ "37-33=4", "81-29=52", "52/4=13" ]
Current State: 13:[37, 81, 29, 33], Operations: [] Exploring Operation: 37-33=4, Resulting Numbers: [81, 29, 4] Generated Node #2: [81, 29, 4] from Operation: 37-33=4 Current State: 13:[81, 29, 4], Operations: ['37-33=4'] Exploring Operation: 81-29=52, Resulting Numbers: [4, 52] Generated Node #3: [4, 52] from Operation: 81-29=52 Current State: 13:[4, 52], Operations: ['37-33=4', '81-29=52'] Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 79, 93, 21, 69 ]
34
[ "93-79=14", "69-21=48", "48-14=34" ]
Current State: 34:[79, 93, 21, 69], Operations: [] Exploring Operation: 93-79=14, Resulting Numbers: [21, 69, 14] Generated Node #2: [21, 69, 14] from Operation: 93-79=14 Current State: 34:[21, 69, 14], Operations: ['93-79=14'] Exploring Operation: 69-21=48, Resulting Numbers: [14, 48] Generated Node #3: [14, 48] from Operation: 69-21=48 Current State: 34:[14, 48], Operations: ['93-79=14', '69-21=48'] Exploring Operation: 48-14=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 2, 21, 43, 41 ]
85
[ "43-21=22", "2*22=44", "41+44=85" ]
Current State: 85:[2, 21, 43, 41], Operations: [] Exploring Operation: 43-21=22, Resulting Numbers: [2, 41, 22] Generated Node #2: [2, 41, 22] from Operation: 43-21=22 Current State: 85:[2, 41, 22], Operations: ['43-21=22'] Exploring Operation: 2*22=44, Resulting Numbers: [41, 44] Generated Node #3: [41, 44] from Operation: 2*22=44 Current State: 85:[41, 44], Operations: ['43-21=22', '2*22=44'] Exploring Operation: 41+44=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 26, 7, 2, 40 ]
99
[ "26-7=19", "2*40=80", "19+80=99" ]
Current State: 99:[26, 7, 2, 40], Operations: [] Exploring Operation: 26-7=19, Resulting Numbers: [2, 40, 19] Generated Node #2: [2, 40, 19] from Operation: 26-7=19 Current State: 99:[2, 40, 19], Operations: ['26-7=19'] Exploring Operation: 2*40=80, Resulting Numbers: [19, 80] Generated Node #3: [19, 80] from Operation: 2*40=80 Current State: 99:[19, 80], Operations: ['26-7=19', '2*40=80'] Exploring Operation: 19+80=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 2, 66, 54, 64 ]
46
[ "64-54=10", "2*10=20", "66-20=46" ]
Current State: 46:[2, 66, 54, 64], Operations: [] Exploring Operation: 64-54=10, Resulting Numbers: [2, 66, 10] Generated Node #2: [2, 66, 10] from Operation: 64-54=10 Current State: 46:[2, 66, 10], Operations: ['64-54=10'] Exploring Operation: 2*10=20, Resulting Numbers: [66, 20] Generated Node #3: [66, 20] from Operation: 2*10=20 Current State: 46:[66, 20], Operations: ['64-54=10', '2*10=20'] Exploring Operation: 66-20=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 19, 29, 75, 46 ]
39
[ "29-19=10", "75-46=29", "10+29=39" ]
Current State: 39:[19, 29, 75, 46], Operations: [] Exploring Operation: 29-19=10, Resulting Numbers: [75, 46, 10] Generated Node #2: [75, 46, 10] from Operation: 29-19=10 Current State: 39:[75, 46, 10], Operations: ['29-19=10'] Exploring Operation: 75-46=29, Resulting Numbers: [10, 29] Generated Node #3: [10, 29] from Operation: 75-46=29 Current State: 39:[10, 29], Operations: ['29-19=10', '75-46=29'] Exploring Operation: 10+29=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 27, 12, 16, 64 ]
35
[ "27+12=39", "64/16=4", "39-4=35" ]
Current State: 35:[27, 12, 16, 64], Operations: [] Exploring Operation: 27+12=39, Resulting Numbers: [16, 64, 39] Generated Node #2: [16, 64, 39] from Operation: 27+12=39 Current State: 35:[16, 64, 39], Operations: ['27+12=39'] Exploring Operation: 64/16=4, Resulting Numbers: [39, 4] Generated Node #3: [39, 4] from Operation: 64/16=4 Current State: 35:[39, 4], Operations: ['27+12=39', '64/16=4'] Exploring Operation: 39-4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 71, 19, 9, 75 ]
40
[ "75-71=4", "19-9=10", "4*10=40" ]
Current State: 40:[71, 19, 9, 75], Operations: [] Exploring Operation: 75-71=4, Resulting Numbers: [19, 9, 4] Generated Node #2: [19, 9, 4] from Operation: 75-71=4 Current State: 40:[19, 9, 4], Operations: ['75-71=4'] Exploring Operation: 19-9=10, Resulting Numbers: [4, 10] Generated Node #3: [4, 10] from Operation: 19-9=10 Current State: 40:[4, 10], Operations: ['75-71=4', '19-9=10'] Exploring Operation: 4*10=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 43, 56, 92, 50 ]
29
[ "56-43=13", "92-50=42", "42-13=29" ]
Current State: 29:[43, 56, 92, 50], Operations: [] Exploring Operation: 56-43=13, Resulting Numbers: [92, 50, 13] Generated Node #2: [92, 50, 13] from Operation: 56-43=13 Current State: 29:[92, 50, 13], Operations: ['56-43=13'] Exploring Operation: 92-50=42, Resulting Numbers: [13, 42] Generated Node #3: [13, 42] from Operation: 92-50=42 Current State: 29:[13, 42], Operations: ['56-43=13', '92-50=42'] Exploring Operation: 42-13=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 9, 27, 48, 39 ]
13
[ "39-27=12", "48/12=4", "9+4=13" ]
Current State: 13:[9, 27, 48, 39], Operations: [] Exploring Operation: 39-27=12, Resulting Numbers: [9, 48, 12] Generated Node #2: [9, 48, 12] from Operation: 39-27=12 Current State: 13:[9, 48, 12], Operations: ['39-27=12'] Exploring Operation: 48/12=4, Resulting Numbers: [9, 4] Generated Node #3: [9, 4] from Operation: 48/12=4 Current State: 13:[9, 4], Operations: ['39-27=12', '48/12=4'] Exploring Operation: 9+4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 33, 15, 4, 5 ]
47
[ "33+15=48", "5-4=1", "48-1=47" ]
Current State: 47:[33, 15, 4, 5], Operations: [] Exploring Operation: 33+15=48, Resulting Numbers: [4, 5, 48] Generated Node #2: [4, 5, 48] from Operation: 33+15=48 Current State: 47:[4, 5, 48], Operations: ['33+15=48'] Exploring Operation: 5-4=1, Resulting Numbers: [48, 1] Generated Node #3: [48, 1] from Operation: 5-4=1 Current State: 47:[48, 1], Operations: ['33+15=48', '5-4=1'] Exploring Operation: 48-1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 37, 4, 12, 63 ]
97
[ "37*4=148", "63-12=51", "148-51=97" ]
Current State: 97:[37, 4, 12, 63], Operations: [] Exploring Operation: 37*4=148, Resulting Numbers: [12, 63, 148] Generated Node #2: [12, 63, 148] from Operation: 37*4=148 Current State: 97:[12, 63, 148], Operations: ['37*4=148'] Exploring Operation: 63-12=51, Resulting Numbers: [148, 51] Generated Node #3: [148, 51] from Operation: 63-12=51 Current State: 97:[148, 51], Operations: ['37*4=148', '63-12=51'] Exploring Operation: 148-51=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 69, 71, 80, 15 ]
94
[ "80-69=11", "15*11=165", "165-71=94" ]
Current State: 94:[69, 71, 80, 15], Operations: [] Exploring Operation: 80-69=11, Resulting Numbers: [71, 15, 11] Generated Node #2: [71, 15, 11] from Operation: 80-69=11 Current State: 94:[71, 15, 11], Operations: ['80-69=11'] Exploring Operation: 15*11=165, Resulting Numbers: [71, 165] Generated Node #3: [71, 165] from Operation: 15*11=165 Current State: 94:[71, 165], Operations: ['80-69=11', '15*11=165'] Exploring Operation: 165-71=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 63, 30, 27, 54 ]
27
[ "63-54=9", "30-27=3", "9*3=27" ]
Current State: 27:[63, 30, 27, 54], Operations: [] Exploring Operation: 63-54=9, Resulting Numbers: [30, 27, 9] Generated Node #2: [30, 27, 9] from Operation: 63-54=9 Current State: 27:[30, 27, 9], Operations: ['63-54=9'] Exploring Operation: 30-27=3, Resulting Numbers: [9, 3] Generated Node #3: [9, 3] from Operation: 30-27=3 Current State: 27:[9, 3], Operations: ['63-54=9', '30-27=3'] Exploring Operation: 9*3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 47, 27, 12, 64 ]
22
[ "47+27=74", "64-12=52", "74-52=22" ]
Current State: 22:[47, 27, 12, 64], Operations: [] Exploring Operation: 47+27=74, Resulting Numbers: [12, 64, 74] Generated Node #2: [12, 64, 74] from Operation: 47+27=74 Current State: 22:[12, 64, 74], Operations: ['47+27=74'] Exploring Operation: 64-12=52, Resulting Numbers: [74, 52] Generated Node #3: [74, 52] from Operation: 64-12=52 Current State: 22:[74, 52], Operations: ['47+27=74', '64-12=52'] Exploring Operation: 74-52=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 59, 43, 29, 13 ]
59
[ "43-29=14", "14-13=1", "59*1=59" ]
Current State: 59:[59, 43, 29, 13], Operations: [] Exploring Operation: 43-29=14, Resulting Numbers: [59, 13, 14] Generated Node #2: [59, 13, 14] from Operation: 43-29=14 Current State: 59:[59, 13, 14], Operations: ['43-29=14'] Exploring Operation: 14-13=1, Resulting Numbers: [59, 1] Generated Node #3: [59, 1] from Operation: 14-13=1 Current State: 59:[59, 1], Operations: ['43-29=14', '14-13=1'] Exploring Operation: 59*1=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 32, 16, 32, 4 ]
16
[ "32/16=2", "32/4=8", "2*8=16" ]
Current State: 16:[32, 16, 32, 4], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [4, 2] Generated Node #2: [4, 2] from Operation: 32/16=2 Current State: 16:[4, 2], Operations: ['32/16=2'] Exploring Operation: 32/4=8, Resulting Numbers: [2, 8] Generated Node #3: [2, 8] from Operation: 32/4=8 Current State: 16:[2, 8], Operations: ['32/16=2', '32/4=8'] Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 17, 28, 38, 27 ]
76
[ "28-17=11", "38+27=65", "11+65=76" ]
Current State: 76:[17, 28, 38, 27], Operations: [] Exploring Operation: 28-17=11, Resulting Numbers: [38, 27, 11] Generated Node #2: [38, 27, 11] from Operation: 28-17=11 Current State: 76:[38, 27, 11], Operations: ['28-17=11'] Exploring Operation: 38+27=65, Resulting Numbers: [11, 65] Generated Node #3: [11, 65] from Operation: 38+27=65 Current State: 76:[11, 65], Operations: ['28-17=11', '38+27=65'] Exploring Operation: 11+65=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 29, 20, 25, 8 ]
47
[ "29-20=9", "8*9=72", "72-25=47" ]
Current State: 47:[29, 20, 25, 8], Operations: [] Exploring Operation: 29-20=9, Resulting Numbers: [25, 8, 9] Generated Node #2: [25, 8, 9] from Operation: 29-20=9 Current State: 47:[25, 8, 9], Operations: ['29-20=9'] Exploring Operation: 8*9=72, Resulting Numbers: [25, 72] Generated Node #3: [25, 72] from Operation: 8*9=72 Current State: 47:[25, 72], Operations: ['29-20=9', '8*9=72'] Exploring Operation: 72-25=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 77, 86, 33, 77 ]
54
[ "77/77=1", "86-33=53", "1+53=54" ]
Current State: 54:[77, 86, 33, 77], Operations: [] Exploring Operation: 77/77=1, Resulting Numbers: [86, 33, 1] Generated Node #2: [86, 33, 1] from Operation: 77/77=1 Current State: 54:[86, 33, 1], Operations: ['77/77=1'] Exploring Operation: 86-33=53, Resulting Numbers: [1, 53] Generated Node #3: [1, 53] from Operation: 86-33=53 Current State: 54:[1, 53], Operations: ['77/77=1', '86-33=53'] Exploring Operation: 1+53=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 5, 22, 17, 4 ]
25
[ "17-5=12", "12/4=3", "22+3=25" ]
Current State: 25:[5, 22, 17, 4], Operations: [] Exploring Operation: 17-5=12, Resulting Numbers: [22, 4, 12] Generated Node #2: [22, 4, 12] from Operation: 17-5=12 Current State: 25:[22, 4, 12], Operations: ['17-5=12'] Exploring Operation: 12/4=3, Resulting Numbers: [22, 3] Generated Node #3: [22, 3] from Operation: 12/4=3 Current State: 25:[22, 3], Operations: ['17-5=12', '12/4=3'] Exploring Operation: 22+3=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 40, 92, 36, 52 ]
68
[ "92-40=52", "52-36=16", "52+16=68" ]
Current State: 68:[40, 92, 36, 52], Operations: [] Exploring Operation: 92-40=52, Resulting Numbers: [36, 52, 52] Generated Node #2: [36, 52, 52] from Operation: 92-40=52 Current State: 68:[36, 52, 52], Operations: ['92-40=52'] Exploring Operation: 52-36=16, Resulting Numbers: [16] 16,68 equal: Goal Reached Exploring Operation: 52+16=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 88, 42, 7, 94 ]
84
[ "94-88=6", "7*6=42", "42+42=84" ]
Current State: 84:[88, 42, 7, 94], Operations: [] Exploring Operation: 94-88=6, Resulting Numbers: [42, 7, 6] Generated Node #2: [42, 7, 6] from Operation: 94-88=6 Current State: 84:[42, 7, 6], Operations: ['94-88=6'] Exploring Operation: 7*6=42, Resulting Numbers: [42, 42] Generated Node #3: [42, 42] from Operation: 7*6=42 Current State: 84:[42, 42], Operations: ['94-88=6', '7*6=42'] Exploring Operation: 42+42=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 32, 55, 77, 39 ]
66
[ "39-32=7", "77/7=11", "55+11=66" ]
Current State: 66:[32, 55, 77, 39], Operations: [] Exploring Operation: 39-32=7, Resulting Numbers: [55, 77, 7] Generated Node #2: [55, 77, 7] from Operation: 39-32=7 Current State: 66:[55, 77, 7], Operations: ['39-32=7'] Exploring Operation: 77/7=11, Resulting Numbers: [55, 11] Generated Node #3: [55, 11] from Operation: 77/7=11 Current State: 66:[55, 11], Operations: ['39-32=7', '77/7=11'] Exploring Operation: 55+11=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 92, 55, 72, 4 ]
56
[ "92+72=164", "55*4=220", "220-164=56" ]
Current State: 56:[92, 55, 72, 4], Operations: [] Exploring Operation: 92+72=164, Resulting Numbers: [55, 4, 164] Generated Node #2: [55, 4, 164] from Operation: 92+72=164 Current State: 56:[55, 4, 164], Operations: ['92+72=164'] Exploring Operation: 55*4=220, Resulting Numbers: [164, 220] Generated Node #3: [164, 220] from Operation: 55*4=220 Current State: 56:[164, 220], Operations: ['92+72=164', '55*4=220'] Exploring Operation: 220-164=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 89, 15, 69, 20 ]
25
[ "89-15=74", "69-20=49", "74-49=25" ]
Current State: 25:[89, 15, 69, 20], Operations: [] Exploring Operation: 89-15=74, Resulting Numbers: [69, 20, 74] Generated Node #2: [69, 20, 74] from Operation: 89-15=74 Current State: 25:[69, 20, 74], Operations: ['89-15=74'] Exploring Operation: 69-20=49, Resulting Numbers: [74, 49] Generated Node #3: [74, 49] from Operation: 69-20=49 Current State: 25:[74, 49], Operations: ['89-15=74', '69-20=49'] Exploring Operation: 74-49=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 52, 22, 6, 30 ]
38
[ "52+22=74", "6+30=36", "74-36=38" ]
Current State: 38:[52, 22, 6, 30], Operations: [] Exploring Operation: 52+22=74, Resulting Numbers: [6, 30, 74] Generated Node #2: [6, 30, 74] from Operation: 52+22=74 Current State: 38:[6, 30, 74], Operations: ['52+22=74'] Exploring Operation: 6+30=36, Resulting Numbers: [74, 36] Generated Node #3: [74, 36] from Operation: 6+30=36 Current State: 38:[74, 36], Operations: ['52+22=74', '6+30=36'] Exploring Operation: 74-36=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 75, 61, 18, 5 ]
27
[ "75-61=14", "18-5=13", "14+13=27" ]
Current State: 27:[75, 61, 18, 5], Operations: [] Exploring Operation: 75-61=14, Resulting Numbers: [18, 5, 14] Generated Node #2: [18, 5, 14] from Operation: 75-61=14 Current State: 27:[18, 5, 14], Operations: ['75-61=14'] Exploring Operation: 18-5=13, Resulting Numbers: [14, 13] Generated Node #3: [14, 13] from Operation: 18-5=13 Current State: 27:[14, 13], Operations: ['75-61=14', '18-5=13'] Exploring Operation: 14+13=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 63, 3, 11, 75 ]
81
[ "63+3=66", "66/11=6", "75+6=81" ]
Current State: 81:[63, 3, 11, 75], Operations: [] Exploring Operation: 63+3=66, Resulting Numbers: [11, 75, 66] Generated Node #2: [11, 75, 66] from Operation: 63+3=66 Current State: 81:[11, 75, 66], Operations: ['63+3=66'] Exploring Operation: 66/11=6, Resulting Numbers: [75, 6] Generated Node #3: [75, 6] from Operation: 66/11=6 Current State: 81:[75, 6], Operations: ['63+3=66', '66/11=6'] Exploring Operation: 75+6=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 38, 96, 59, 22 ]
96
[ "59-38=21", "22-21=1", "96*1=96" ]
Current State: 96:[38, 96, 59, 22], Operations: [] Exploring Operation: 59-38=21, Resulting Numbers: [96, 22, 21] Generated Node #2: [96, 22, 21] from Operation: 59-38=21 Current State: 96:[96, 22, 21], Operations: ['59-38=21'] Exploring Operation: 22-21=1, Resulting Numbers: [96, 1] Generated Node #3: [96, 1] from Operation: 22-21=1 Current State: 96:[96, 1], Operations: ['59-38=21', '22-21=1'] Exploring Operation: 96*1=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 85, 30, 53, 86 ]
23
[ "86-85=1", "53-30=23", "1*23=23" ]
Current State: 23:[85, 30, 53, 86], Operations: [] Exploring Operation: 86-85=1, Resulting Numbers: [30, 53, 1] Generated Node #2: [30, 53, 1] from Operation: 86-85=1 Current State: 23:[30, 53, 1], Operations: ['86-85=1'] Exploring Operation: 53-30=23, Resulting Numbers: [1, 23] Generated Node #3: [1, 23] from Operation: 53-30=23 Current State: 23:[1, 23], Operations: ['86-85=1', '53-30=23'] Exploring Operation: 1*23=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 8, 75, 92, 23 ]
43
[ "8*92=736", "736/23=32", "75-32=43" ]
Current State: 43:[8, 75, 92, 23], Operations: [] Exploring Operation: 8*92=736, Resulting Numbers: [75, 23, 736] Generated Node #2: [75, 23, 736] from Operation: 8*92=736 Current State: 43:[75, 23, 736], Operations: ['8*92=736'] Exploring Operation: 736/23=32, Resulting Numbers: [75, 32] Generated Node #3: [75, 32] from Operation: 736/23=32 Current State: 43:[75, 32], Operations: ['8*92=736', '736/23=32'] Exploring Operation: 75-32=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 63, 27, 4, 73 ]
82
[ "63-27=36", "36/4=9", "73+9=82" ]
Current State: 82:[63, 27, 4, 73], Operations: [] Exploring Operation: 63-27=36, Resulting Numbers: [4, 73, 36] Generated Node #2: [4, 73, 36] from Operation: 63-27=36 Current State: 82:[4, 73, 36], Operations: ['63-27=36'] Exploring Operation: 36/4=9, Resulting Numbers: [73, 9] Generated Node #3: [73, 9] from Operation: 36/4=9 Current State: 82:[73, 9], Operations: ['63-27=36', '36/4=9'] Exploring Operation: 73+9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 15, 70, 90, 34 ]
98
[ "90/15=6", "70+34=104", "104-6=98" ]
Current State: 98:[15, 70, 90, 34], Operations: [] Exploring Operation: 90/15=6, Resulting Numbers: [70, 34, 6] Generated Node #2: [70, 34, 6] from Operation: 90/15=6 Current State: 98:[70, 34, 6], Operations: ['90/15=6'] Exploring Operation: 70+34=104, Resulting Numbers: [6, 104] Generated Node #3: [6, 104] from Operation: 70+34=104 Current State: 98:[6, 104], Operations: ['90/15=6', '70+34=104'] Exploring Operation: 104-6=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 57, 88, 76, 92 ]
38
[ "92-88=4", "76/4=19", "57-19=38" ]
Current State: 38:[57, 88, 76, 92], Operations: [] Exploring Operation: 92-88=4, Resulting Numbers: [57, 76, 4] Generated Node #2: [57, 76, 4] from Operation: 92-88=4 Current State: 38:[57, 76, 4], Operations: ['92-88=4'] Exploring Operation: 76/4=19, Resulting Numbers: [57, 19] Generated Node #3: [57, 19] from Operation: 76/4=19 Current State: 38:[57, 19], Operations: ['92-88=4', '76/4=19'] Exploring Operation: 57-19=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4