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
[ 57, 63, 19, 18 ]
84
[ "57/19=3", "63+18=81", "3+81=84" ]
Current State: 84:[57, 63, 19, 18], Operations: [] Exploring Operation: 57/19=3, Resulting Numbers: [63, 18, 3] Generated Node #2: [63, 18, 3] from Operation: 57/19=3 Current State: 84:[63, 18, 3], Operations: ['57/19=3'] Exploring Operation: 63+18=81, Resulting Numbers: [3, 81] Generated Node #3: [3, 81] from Operation: 63+18=81 Current State: 84:[3, 81], Operations: ['57/19=3', '63+18=81'] Exploring Operation: 3+81=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 44, 14, 4, 39 ]
66
[ "44-39=5", "14*5=70", "70-4=66" ]
Current State: 66:[44, 14, 4, 39], Operations: [] Exploring Operation: 44-39=5, Resulting Numbers: [14, 4, 5] Generated Node #2: [14, 4, 5] from Operation: 44-39=5 Current State: 66:[14, 4, 5], Operations: ['44-39=5'] Exploring Operation: 14*5=70, Resulting Numbers: [4, 70] Generated Node #3: [4, 70] from Operation: 14*5=70 Current State: 66:[4, 70], Operations: ['44-39=5', '14*5=70'] Exploring Operation: 70-4=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 23, 56, 2, 97 ]
36
[ "23+56=79", "97-79=18", "2*18=36" ]
Current State: 36:[23, 56, 2, 97], Operations: [] Exploring Operation: 23+56=79, Resulting Numbers: [2, 97, 79] Generated Node #2: [2, 97, 79] from Operation: 23+56=79 Current State: 36:[2, 97, 79], Operations: ['23+56=79'] Exploring Operation: 97-79=18, Resulting Numbers: [2, 18] Generated Node #3: [2, 18] from Operation: 97-79=18 Current State: 36:[2, 18], Operations: ['23+56=79', '97-79=18'] Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 9, 63, 18, 5 ]
73
[ "18/9=2", "5*2=10", "63+10=73" ]
Current State: 73:[9, 63, 18, 5], Operations: [] Exploring Operation: 18/9=2, Resulting Numbers: [63, 5, 2] Generated Node #2: [63, 5, 2] from Operation: 18/9=2 Current State: 73:[63, 5, 2], Operations: ['18/9=2'] Exploring Operation: 5*2=10, Resulting Numbers: [63, 10] Generated Node #3: [63, 10] from Operation: 5*2=10 Current State: 73:[63, 10], Operations: ['18/9=2', '5*2=10'] Exploring Operation: 63+10=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 71, 28, 57, 44 ]
58
[ "71-28=43", "57+44=101", "101-43=58" ]
Current State: 58:[71, 28, 57, 44], Operations: [] Exploring Operation: 71-28=43, Resulting Numbers: [57, 44, 43] Generated Node #2: [57, 44, 43] from Operation: 71-28=43 Current State: 58:[57, 44, 43], Operations: ['71-28=43'] Exploring Operation: 57+44=101, Resulting Numbers: [43, 101] Generated Node #3: [43, 101] from Operation: 57+44=101 Current State: 58:[43, 101], Operations: ['71-28=43', '57+44=101'] Exploring Operation: 101-43=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 24, 80, 23, 39 ]
40
[ "80-24=56", "39-23=16", "56-16=40" ]
Current State: 40:[24, 80, 23, 39], Operations: [] Exploring Operation: 80-24=56, Resulting Numbers: [23, 39, 56] Generated Node #2: [23, 39, 56] from Operation: 80-24=56 Current State: 40:[23, 39, 56], Operations: ['80-24=56'] Exploring Operation: 39-23=16, Resulting Numbers: [56, 16] Generated Node #3: [56, 16] from Operation: 39-23=16 Current State: 40:[56, 16], Operations: ['80-24=56', '39-23=16'] Exploring Operation: 56-16=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 62, 79, 6, 47 ]
58
[ "79-62=17", "47-6=41", "17+41=58" ]
Current State: 58:[62, 79, 6, 47], Operations: [] Exploring Operation: 79-62=17, Resulting Numbers: [6, 47, 17] Generated Node #2: [6, 47, 17] from Operation: 79-62=17 Current State: 58:[6, 47, 17], Operations: ['79-62=17'] Exploring Operation: 47-6=41, Resulting Numbers: [17, 41] Generated Node #3: [17, 41] from Operation: 47-6=41 Current State: 58:[17, 41], Operations: ['79-62=17', '47-6=41'] Exploring Operation: 17+41=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 55, 29, 30, 2 ]
69
[ "55+29=84", "30/2=15", "84-15=69" ]
Current State: 69:[55, 29, 30, 2], Operations: [] Exploring Operation: 55+29=84, Resulting Numbers: [30, 2, 84] Generated Node #2: [30, 2, 84] from Operation: 55+29=84 Current State: 69:[30, 2, 84], Operations: ['55+29=84'] Exploring Operation: 30/2=15, Resulting Numbers: [84, 15] Generated Node #3: [84, 15] from Operation: 30/2=15 Current State: 69:[84, 15], Operations: ['55+29=84', '30/2=15'] Exploring Operation: 84-15=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 57, 67, 55, 40 ]
59
[ "67-57=10", "40/10=4", "55+4=59" ]
Current State: 59:[57, 67, 55, 40], Operations: [] Exploring Operation: 67-57=10, Resulting Numbers: [55, 40, 10] Generated Node #2: [55, 40, 10] from Operation: 67-57=10 Current State: 59:[55, 40, 10], Operations: ['67-57=10'] Exploring Operation: 40/10=4, Resulting Numbers: [55, 4] Generated Node #3: [55, 4] from Operation: 40/10=4 Current State: 59:[55, 4], Operations: ['67-57=10', '40/10=4'] Exploring Operation: 55+4=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 7, 28, 36, 37 ]
28
[ "28/7=4", "36/4=9", "37-9=28" ]
Current State: 28:[7, 28, 36, 37], Operations: [] Exploring Operation: 28/7=4, Resulting Numbers: [36, 37, 4] Generated Node #2: [36, 37, 4] from Operation: 28/7=4 Current State: 28:[36, 37, 4], Operations: ['28/7=4'] Exploring Operation: 36/4=9, Resulting Numbers: [37, 9] Generated Node #3: [37, 9] from Operation: 36/4=9 Current State: 28:[37, 9], Operations: ['28/7=4', '36/4=9'] Exploring Operation: 37-9=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 52, 67, 77, 90 ]
28
[ "67-52=15", "90-77=13", "15+13=28" ]
Current State: 28:[52, 67, 77, 90], Operations: [] Exploring Operation: 67-52=15, Resulting Numbers: [77, 90, 15] Generated Node #2: [77, 90, 15] from Operation: 67-52=15 Current State: 28:[77, 90, 15], Operations: ['67-52=15'] Exploring Operation: 90-77=13, Resulting Numbers: [15, 13] Generated Node #3: [15, 13] from Operation: 90-77=13 Current State: 28:[15, 13], Operations: ['67-52=15', '90-77=13'] Exploring Operation: 15+13=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 67, 79, 61, 28 ]
89
[ "67-61=6", "28*6=168", "168-79=89" ]
Current State: 89:[67, 79, 61, 28], Operations: [] Exploring Operation: 67-61=6, Resulting Numbers: [79, 28, 6] Generated Node #2: [79, 28, 6] from Operation: 67-61=6 Current State: 89:[79, 28, 6], Operations: ['67-61=6'] Exploring Operation: 28*6=168, Resulting Numbers: [79, 168] Generated Node #3: [79, 168] from Operation: 28*6=168 Current State: 89:[79, 168], Operations: ['67-61=6', '28*6=168'] Exploring Operation: 168-79=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 6, 76, 3, 85 ]
45
[ "76-6=70", "85-70=15", "3*15=45" ]
Current State: 45:[6, 76, 3, 85], Operations: [] Exploring Operation: 76-6=70, Resulting Numbers: [3, 85, 70] Generated Node #2: [3, 85, 70] from Operation: 76-6=70 Current State: 45:[3, 85, 70], Operations: ['76-6=70'] Exploring Operation: 85-70=15, Resulting Numbers: [3, 15] Generated Node #3: [3, 15] from Operation: 85-70=15 Current State: 45:[3, 15], Operations: ['76-6=70', '85-70=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 76, 56, 30, 15 ]
96
[ "76*30=2280", "2280/15=152", "152-56=96" ]
Current State: 96:[76, 56, 30, 15], Operations: [] Exploring Operation: 76*30=2280, Resulting Numbers: [56, 15, 2280] Generated Node #2: [56, 15, 2280] from Operation: 76*30=2280 Current State: 96:[56, 15, 2280], Operations: ['76*30=2280'] Exploring Operation: 2280/15=152, Resulting Numbers: [56, 152] Generated Node #3: [56, 152] from Operation: 2280/15=152 Current State: 96:[56, 152], Operations: ['76*30=2280', '2280/15=152'] Exploring Operation: 152-56=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 59, 46, 25, 89 ]
41
[ "59+46=105", "89-25=64", "105-64=41" ]
Current State: 41:[59, 46, 25, 89], Operations: [] Exploring Operation: 59+46=105, Resulting Numbers: [25, 89, 105] Generated Node #2: [25, 89, 105] from Operation: 59+46=105 Current State: 41:[25, 89, 105], Operations: ['59+46=105'] Exploring Operation: 89-25=64, Resulting Numbers: [105, 64] Generated Node #3: [105, 64] from Operation: 89-25=64 Current State: 41:[105, 64], Operations: ['59+46=105', '89-25=64'] Exploring Operation: 105-64=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 62, 12, 12, 98 ]
36
[ "62+12=74", "12+98=110", "110-74=36" ]
Current State: 36:[62, 12, 12, 98], Operations: [] Exploring Operation: 62+12=74, Resulting Numbers: [98, 74] Generated Node #2: [98, 74] from Operation: 62+12=74 Current State: 36:[98, 74], Operations: ['62+12=74'] Exploring Operation: 12+98=110, Resulting Numbers: [74, 110] Generated Node #3: [74, 110] from Operation: 12+98=110 Current State: 36:[74, 110], Operations: ['62+12=74', '12+98=110'] Exploring Operation: 110-74=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 89, 28, 89, 80 ]
53
[ "89/89=1", "80-28=52", "1+52=53" ]
Current State: 53:[89, 28, 89, 80], Operations: [] Exploring Operation: 89/89=1, Resulting Numbers: [28, 80, 1] Generated Node #2: [28, 80, 1] from Operation: 89/89=1 Current State: 53:[28, 80, 1], Operations: ['89/89=1'] Exploring Operation: 80-28=52, Resulting Numbers: [1, 52] Generated Node #3: [1, 52] from Operation: 80-28=52 Current State: 53:[1, 52], Operations: ['89/89=1', '80-28=52'] Exploring Operation: 1+52=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 73, 72, 35, 27 ]
68
[ "73+35=108", "108/27=4", "72-4=68" ]
Current State: 68:[73, 72, 35, 27], Operations: [] Exploring Operation: 73+35=108, Resulting Numbers: [72, 27, 108] Generated Node #2: [72, 27, 108] from Operation: 73+35=108 Current State: 68:[72, 27, 108], Operations: ['73+35=108'] Exploring Operation: 108/27=4, Resulting Numbers: [72, 4] Generated Node #3: [72, 4] from Operation: 108/27=4 Current State: 68:[72, 4], Operations: ['73+35=108', '108/27=4'] Exploring Operation: 72-4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 34, 65, 67, 38 ]
33
[ "38-34=4", "65+67=132", "132/4=33" ]
Current State: 33:[34, 65, 67, 38], Operations: [] Exploring Operation: 38-34=4, Resulting Numbers: [65, 67, 4] Generated Node #2: [65, 67, 4] from Operation: 38-34=4 Current State: 33:[65, 67, 4], Operations: ['38-34=4'] Exploring Operation: 65+67=132, Resulting Numbers: [4, 132] Generated Node #3: [4, 132] from Operation: 65+67=132 Current State: 33:[4, 132], Operations: ['38-34=4', '65+67=132'] Exploring Operation: 132/4=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 81, 57, 53, 84 ]
19
[ "81-53=28", "57*28=1596", "1596/84=19" ]
Current State: 19:[81, 57, 53, 84], Operations: [] Exploring Operation: 81-53=28, Resulting Numbers: [57, 84, 28] Generated Node #2: [57, 84, 28] from Operation: 81-53=28 Current State: 19:[57, 84, 28], Operations: ['81-53=28'] Exploring Operation: 57*28=1596, Resulting Numbers: [84, 1596] Generated Node #3: [84, 1596] from Operation: 57*28=1596 Current State: 19:[84, 1596], Operations: ['81-53=28', '57*28=1596'] Exploring Operation: 1596/84=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 36, 29, 35, 6 ]
36
[ "36+29=65", "35-6=29", "65-29=36" ]
Current State: 36:[36, 29, 35, 6], Operations: [] Exploring Operation: 36+29=65, Resulting Numbers: [35, 6, 65] Generated Node #2: [35, 6, 65] from Operation: 36+29=65 Current State: 36:[35, 6, 65], Operations: ['36+29=65'] Exploring Operation: 35-6=29, Resulting Numbers: [65, 29] Generated Node #3: [65, 29] from Operation: 35-6=29 Current State: 36:[65, 29], Operations: ['36+29=65', '35-6=29'] Exploring Operation: 65-29=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 75, 17, 6, 19 ]
25
[ "19-17=2", "75*2=150", "150/6=25" ]
Current State: 25:[75, 17, 6, 19], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [75, 6, 2] Generated Node #2: [75, 6, 2] from Operation: 19-17=2 Current State: 25:[75, 6, 2], Operations: ['19-17=2'] Exploring Operation: 75*2=150, Resulting Numbers: [6, 150] Generated Node #3: [6, 150] from Operation: 75*2=150 Current State: 25:[6, 150], Operations: ['19-17=2', '75*2=150'] Exploring Operation: 150/6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 2, 35, 10, 37 ]
49
[ "2*37=74", "35-10=25", "74-25=49" ]
Current State: 49:[2, 35, 10, 37], Operations: [] Exploring Operation: 2*37=74, Resulting Numbers: [35, 10, 74] Generated Node #2: [35, 10, 74] from Operation: 2*37=74 Current State: 49:[35, 10, 74], Operations: ['2*37=74'] Exploring Operation: 35-10=25, Resulting Numbers: [74, 25] Generated Node #3: [74, 25] from Operation: 35-10=25 Current State: 49:[74, 25], Operations: ['2*37=74', '35-10=25'] Exploring Operation: 74-25=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 11, 76, 88, 90 ]
91
[ "11+76=87", "88+90=178", "178-87=91" ]
Current State: 91:[11, 76, 88, 90], Operations: [] Exploring Operation: 11+76=87, Resulting Numbers: [88, 90, 87] Generated Node #2: [88, 90, 87] from Operation: 11+76=87 Current State: 91:[88, 90, 87], Operations: ['11+76=87'] Exploring Operation: 88+90=178, Resulting Numbers: [87, 178] Generated Node #3: [87, 178] from Operation: 88+90=178 Current State: 91:[87, 178], Operations: ['11+76=87', '88+90=178'] Exploring Operation: 178-87=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 97, 22, 37, 22 ]
37
[ "22-22=0", "97*0=0", "37+0=37" ]
Current State: 37:[97, 22, 37, 22], Operations: [] Exploring Operation: 22-22=0, Resulting Numbers: [97, 37, 0] Generated Node #2: [97, 37, 0] from Operation: 22-22=0 Current State: 37:[97, 37, 0], Operations: ['22-22=0'] Exploring Operation: 97*0=0, Resulting Numbers: [37, 0] Generated Node #3: [37, 0] from Operation: 97*0=0 Current State: 37:[37, 0], Operations: ['22-22=0', '97*0=0'] Exploring Operation: 37+0=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 1, 88, 39, 5 ]
43
[ "88-1=87", "39+5=44", "87-44=43" ]
Current State: 43:[1, 88, 39, 5], Operations: [] Exploring Operation: 88-1=87, Resulting Numbers: [39, 5, 87] Generated Node #2: [39, 5, 87] from Operation: 88-1=87 Current State: 43:[39, 5, 87], Operations: ['88-1=87'] Exploring Operation: 39+5=44, Resulting Numbers: [87, 44] Generated Node #3: [87, 44] from Operation: 39+5=44 Current State: 43:[87, 44], Operations: ['88-1=87', '39+5=44'] Exploring Operation: 87-44=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 45, 16, 72, 54 ]
72
[ "54-45=9", "16*9=144", "144-72=72" ]
Current State: 72:[45, 16, 72, 54], Operations: [] Exploring Operation: 54-45=9, Resulting Numbers: [16, 72, 9] Generated Node #2: [16, 72, 9] from Operation: 54-45=9 Current State: 72:[16, 72, 9], Operations: ['54-45=9'] Exploring Operation: 16*9=144, Resulting Numbers: [72, 144] Generated Node #3: [72, 144] from Operation: 16*9=144 Current State: 72:[72, 144], Operations: ['54-45=9', '16*9=144'] Exploring Operation: 144-72=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 15, 52, 35, 28 ]
100
[ "52-15=37", "35+28=63", "37+63=100" ]
Current State: 100:[15, 52, 35, 28], Operations: [] Exploring Operation: 52-15=37, Resulting Numbers: [35, 28, 37] Generated Node #2: [35, 28, 37] from Operation: 52-15=37 Current State: 100:[35, 28, 37], Operations: ['52-15=37'] Exploring Operation: 35+28=63, Resulting Numbers: [37, 63] Generated Node #3: [37, 63] from Operation: 35+28=63 Current State: 100:[37, 63], Operations: ['52-15=37', '35+28=63'] Exploring Operation: 37+63=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 51, 35, 42, 17 ]
21
[ "51/17=3", "42-35=7", "3*7=21" ]
Current State: 21:[51, 35, 42, 17], Operations: [] Exploring Operation: 51/17=3, Resulting Numbers: [35, 42, 3] Generated Node #2: [35, 42, 3] from Operation: 51/17=3 Current State: 21:[35, 42, 3], Operations: ['51/17=3'] Exploring Operation: 42-35=7, Resulting Numbers: [3, 7] Generated Node #3: [3, 7] from Operation: 42-35=7 Current State: 21:[3, 7], Operations: ['51/17=3', '42-35=7'] Exploring Operation: 3*7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 17, 47, 80, 56 ]
73
[ "56-47=9", "17*9=153", "153-80=73" ]
Current State: 73:[17, 47, 80, 56], Operations: [] Exploring Operation: 56-47=9, Resulting Numbers: [17, 80, 9] Generated Node #2: [17, 80, 9] from Operation: 56-47=9 Current State: 73:[17, 80, 9], Operations: ['56-47=9'] Exploring Operation: 17*9=153, Resulting Numbers: [80, 153] Generated Node #3: [80, 153] from Operation: 17*9=153 Current State: 73:[80, 153], Operations: ['56-47=9', '17*9=153'] Exploring Operation: 153-80=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 66, 19, 36, 8 ]
75
[ "66-19=47", "36-8=28", "47+28=75" ]
Current State: 75:[66, 19, 36, 8], Operations: [] Exploring Operation: 66-19=47, Resulting Numbers: [36, 8, 47] Generated Node #2: [36, 8, 47] from Operation: 66-19=47 Current State: 75:[36, 8, 47], Operations: ['66-19=47'] Exploring Operation: 36-8=28, Resulting Numbers: [47, 28] Generated Node #3: [47, 28] from Operation: 36-8=28 Current State: 75:[47, 28], Operations: ['66-19=47', '36-8=28'] Exploring Operation: 47+28=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 7, 51, 60, 6 ]
22
[ "51-7=44", "60+6=66", "66-44=22" ]
Current State: 22:[7, 51, 60, 6], Operations: [] Exploring Operation: 51-7=44, Resulting Numbers: [60, 6, 44] Generated Node #2: [60, 6, 44] from Operation: 51-7=44 Current State: 22:[60, 6, 44], Operations: ['51-7=44'] Exploring Operation: 60+6=66, Resulting Numbers: [44, 66] Generated Node #3: [44, 66] from Operation: 60+6=66 Current State: 22:[44, 66], Operations: ['51-7=44', '60+6=66'] Exploring Operation: 66-44=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 1, 1, 39, 53 ]
91
[ "1*1=1", "39+53=92", "92-1=91" ]
Current State: 91:[1, 1, 39, 53], Operations: [] Exploring Operation: 1*1=1, Resulting Numbers: [39, 53, 1] Generated Node #2: [39, 53, 1] from Operation: 1*1=1 Current State: 91:[39, 53, 1], Operations: ['1*1=1'] Exploring Operation: 39+53=92, Resulting Numbers: [1, 92] Generated Node #3: [1, 92] from Operation: 39+53=92 Current State: 91:[1, 92], Operations: ['1*1=1', '39+53=92'] Exploring Operation: 92-1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 83, 59, 51, 9 ]
100
[ "83+59=142", "51-9=42", "142-42=100" ]
Current State: 100:[83, 59, 51, 9], Operations: [] Exploring Operation: 83+59=142, Resulting Numbers: [51, 9, 142] Generated Node #2: [51, 9, 142] from Operation: 83+59=142 Current State: 100:[51, 9, 142], Operations: ['83+59=142'] Exploring Operation: 51-9=42, Resulting Numbers: [142, 42] Generated Node #3: [142, 42] from Operation: 51-9=42 Current State: 100:[142, 42], Operations: ['83+59=142', '51-9=42'] Exploring Operation: 142-42=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 27, 52, 34, 46 ]
69
[ "27*46=1242", "52-34=18", "1242/18=69" ]
Current State: 69:[27, 52, 34, 46], Operations: [] Exploring Operation: 27*46=1242, Resulting Numbers: [52, 34, 1242] Generated Node #2: [52, 34, 1242] from Operation: 27*46=1242 Current State: 69:[52, 34, 1242], Operations: ['27*46=1242'] Exploring Operation: 52-34=18, Resulting Numbers: [1242, 18] Generated Node #3: [1242, 18] from Operation: 52-34=18 Current State: 69:[1242, 18], Operations: ['27*46=1242', '52-34=18'] Exploring Operation: 1242/18=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 19, 62, 49, 68 ]
63
[ "19+49=68", "68/68=1", "62+1=63" ]
Current State: 63:[19, 62, 49, 68], Operations: [] Exploring Operation: 19+49=68, Resulting Numbers: [62, 68, 68] Generated Node #2: [62, 68, 68] from Operation: 19+49=68 Current State: 63:[62, 68, 68], Operations: ['19+49=68'] Exploring Operation: 68/68=1, Resulting Numbers: [62, 1] Generated Node #3: [62, 1] from Operation: 68/68=1 Current State: 63:[62, 1], Operations: ['19+49=68', '68/68=1'] Exploring Operation: 62+1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 65, 17, 72, 80 ]
39
[ "72-65=7", "17*7=119", "119-80=39" ]
Current State: 39:[65, 17, 72, 80], Operations: [] Exploring Operation: 72-65=7, Resulting Numbers: [17, 80, 7] Generated Node #2: [17, 80, 7] from Operation: 72-65=7 Current State: 39:[17, 80, 7], Operations: ['72-65=7'] Exploring Operation: 17*7=119, Resulting Numbers: [80, 119] Generated Node #3: [80, 119] from Operation: 17*7=119 Current State: 39:[80, 119], Operations: ['72-65=7', '17*7=119'] Exploring Operation: 119-80=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 7, 83, 62, 36 ]
97
[ "62+36=98", "98/7=14", "83+14=97" ]
Current State: 97:[7, 83, 62, 36], Operations: [] Exploring Operation: 62+36=98, Resulting Numbers: [7, 83, 98] Generated Node #2: [7, 83, 98] from Operation: 62+36=98 Current State: 97:[7, 83, 98], Operations: ['62+36=98'] Exploring Operation: 98/7=14, Resulting Numbers: [83, 14] Generated Node #3: [83, 14] from Operation: 98/7=14 Current State: 97:[83, 14], Operations: ['62+36=98', '98/7=14'] Exploring Operation: 83+14=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 63, 38, 80, 44 ]
82
[ "63-44=19", "38/19=2", "80+2=82" ]
Current State: 82:[63, 38, 80, 44], Operations: [] Exploring Operation: 63-44=19, Resulting Numbers: [38, 80, 19] Generated Node #2: [38, 80, 19] from Operation: 63-44=19 Current State: 82:[38, 80, 19], Operations: ['63-44=19'] Exploring Operation: 38/19=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 38/19=2 Current State: 82:[80, 2], Operations: ['63-44=19', '38/19=2'] Exploring Operation: 80+2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 77, 14, 61, 61 ]
92
[ "77+14=91", "61/61=1", "91+1=92" ]
Current State: 92:[77, 14, 61, 61], Operations: [] Exploring Operation: 77+14=91, Resulting Numbers: [61, 61, 91] Generated Node #2: [61, 61, 91] from Operation: 77+14=91 Current State: 92:[61, 61, 91], Operations: ['77+14=91'] Exploring Operation: 61/61=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 61/61=1 Current State: 92:[91, 1], Operations: ['77+14=91', '61/61=1'] Exploring Operation: 91+1=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 70, 82, 51, 51 ]
90
[ "82-70=12", "51+51=102", "102-12=90" ]
Current State: 90:[70, 82, 51, 51], Operations: [] Exploring Operation: 82-70=12, Resulting Numbers: [51, 51, 12] Generated Node #2: [51, 51, 12] from Operation: 82-70=12 Current State: 90:[51, 51, 12], Operations: ['82-70=12'] Exploring Operation: 51+51=102, Resulting Numbers: [12, 102] Generated Node #3: [12, 102] from Operation: 51+51=102 Current State: 90:[12, 102], Operations: ['82-70=12', '51+51=102'] Exploring Operation: 102-12=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 35, 21, 6, 77 ]
85
[ "35-21=14", "77-6=71", "14+71=85" ]
Current State: 85:[35, 21, 6, 77], Operations: [] Exploring Operation: 35-21=14, Resulting Numbers: [6, 77, 14] Generated Node #2: [6, 77, 14] from Operation: 35-21=14 Current State: 85:[6, 77, 14], Operations: ['35-21=14'] Exploring Operation: 77-6=71, Resulting Numbers: [14, 71] Generated Node #3: [14, 71] from Operation: 77-6=71 Current State: 85:[14, 71], Operations: ['35-21=14', '77-6=71'] Exploring Operation: 14+71=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 71, 77, 39, 79 ]
55
[ "71+39=110", "79-77=2", "110/2=55" ]
Current State: 55:[71, 77, 39, 79], Operations: [] Exploring Operation: 71+39=110, Resulting Numbers: [77, 79, 110] Generated Node #2: [77, 79, 110] from Operation: 71+39=110 Current State: 55:[77, 79, 110], Operations: ['71+39=110'] Exploring Operation: 79-77=2, Resulting Numbers: [110, 2] Generated Node #3: [110, 2] from Operation: 79-77=2 Current State: 55:[110, 2], Operations: ['71+39=110', '79-77=2'] Exploring Operation: 110/2=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 50, 55, 43, 2 ]
40
[ "55-50=5", "43+2=45", "45-5=40" ]
Current State: 40:[50, 55, 43, 2], Operations: [] Exploring Operation: 55-50=5, Resulting Numbers: [43, 2, 5] Generated Node #2: [43, 2, 5] from Operation: 55-50=5 Current State: 40:[43, 2, 5], Operations: ['55-50=5'] Exploring Operation: 43+2=45, Resulting Numbers: [5, 45] Generated Node #3: [5, 45] from Operation: 43+2=45 Current State: 40:[5, 45], Operations: ['55-50=5', '43+2=45'] Exploring Operation: 45-5=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 42, 19, 4, 98 ]
54
[ "42+98=140", "140/4=35", "19+35=54" ]
Current State: 54:[42, 19, 4, 98], Operations: [] Exploring Operation: 42+98=140, Resulting Numbers: [19, 4, 140] Generated Node #2: [19, 4, 140] from Operation: 42+98=140 Current State: 54:[19, 4, 140], Operations: ['42+98=140'] Exploring Operation: 140/4=35, Resulting Numbers: [19, 35] Generated Node #3: [19, 35] from Operation: 140/4=35 Current State: 54:[19, 35], Operations: ['42+98=140', '140/4=35'] Exploring Operation: 19+35=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 27, 9, 1, 50 ]
100
[ "27/9=3", "3-1=2", "50*2=100" ]
Current State: 100:[27, 9, 1, 50], Operations: [] Exploring Operation: 27/9=3, Resulting Numbers: [1, 50, 3] Generated Node #2: [1, 50, 3] from Operation: 27/9=3 Current State: 100:[1, 50, 3], Operations: ['27/9=3'] Exploring Operation: 3-1=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 3-1=2 Current State: 100:[50, 2], Operations: ['27/9=3', '3-1=2'] Exploring Operation: 50*2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 15, 2, 12, 55 ]
47
[ "15+55=70", "70/2=35", "12+35=47" ]
Current State: 47:[15, 2, 12, 55], Operations: [] Exploring Operation: 15+55=70, Resulting Numbers: [2, 12, 70] Generated Node #2: [2, 12, 70] from Operation: 15+55=70 Current State: 47:[2, 12, 70], Operations: ['15+55=70'] Exploring Operation: 70/2=35, Resulting Numbers: [12, 35] Generated Node #3: [12, 35] from Operation: 70/2=35 Current State: 47:[12, 35], Operations: ['15+55=70', '70/2=35'] Exploring Operation: 12+35=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 86, 52, 29, 31 ]
94
[ "86-52=34", "29+31=60", "34+60=94" ]
Current State: 94:[86, 52, 29, 31], Operations: [] Exploring Operation: 86-52=34, Resulting Numbers: [29, 31, 34] Generated Node #2: [29, 31, 34] from Operation: 86-52=34 Current State: 94:[29, 31, 34], Operations: ['86-52=34'] Exploring Operation: 29+31=60, Resulting Numbers: [34, 60] Generated Node #3: [34, 60] from Operation: 29+31=60 Current State: 94:[34, 60], Operations: ['86-52=34', '29+31=60'] Exploring Operation: 34+60=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 38, 22, 51, 6 ]
41
[ "38+22=60", "60/6=10", "51-10=41" ]
Current State: 41:[38, 22, 51, 6], Operations: [] Exploring Operation: 38+22=60, Resulting Numbers: [51, 6, 60] Generated Node #2: [51, 6, 60] from Operation: 38+22=60 Current State: 41:[51, 6, 60], Operations: ['38+22=60'] Exploring Operation: 60/6=10, Resulting Numbers: [51, 10] Generated Node #3: [51, 10] from Operation: 60/6=10 Current State: 41:[51, 10], Operations: ['38+22=60', '60/6=10'] Exploring Operation: 51-10=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 8, 17, 21, 34 ]
11
[ "21-8=13", "34/17=2", "13-2=11" ]
Current State: 11:[8, 17, 21, 34], Operations: [] Exploring Operation: 21-8=13, Resulting Numbers: [17, 34, 13] Generated Node #2: [17, 34, 13] from Operation: 21-8=13 Current State: 11:[17, 34, 13], Operations: ['21-8=13'] Exploring Operation: 34/17=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 34/17=2 Current State: 11:[13, 2], Operations: ['21-8=13', '34/17=2'] Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 4, 78, 6, 72 ]
30
[ "4*6=24", "78-72=6", "24+6=30" ]
Current State: 30:[4, 78, 6, 72], Operations: [] Exploring Operation: 4*6=24, Resulting Numbers: [78, 72, 24] Generated Node #2: [78, 72, 24] from Operation: 4*6=24 Current State: 30:[78, 72, 24], Operations: ['4*6=24'] Exploring Operation: 78-72=6, Resulting Numbers: [24, 6] Generated Node #3: [24, 6] from Operation: 78-72=6 Current State: 30:[24, 6], Operations: ['4*6=24', '78-72=6'] Exploring Operation: 24+6=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 40, 19, 10, 25 ]
24
[ "40+19=59", "10+25=35", "59-35=24" ]
Current State: 24:[40, 19, 10, 25], Operations: [] Exploring Operation: 40+19=59, Resulting Numbers: [10, 25, 59] Generated Node #2: [10, 25, 59] from Operation: 40+19=59 Current State: 24:[10, 25, 59], Operations: ['40+19=59'] Exploring Operation: 10+25=35, Resulting Numbers: [59, 35] Generated Node #3: [59, 35] from Operation: 10+25=35 Current State: 24:[59, 35], Operations: ['40+19=59', '10+25=35'] Exploring Operation: 59-35=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 27, 23, 6, 50 ]
74
[ "27-23=4", "6*4=24", "50+24=74" ]
Current State: 74:[27, 23, 6, 50], Operations: [] Exploring Operation: 27-23=4, Resulting Numbers: [6, 50, 4] Generated Node #2: [6, 50, 4] from Operation: 27-23=4 Current State: 74:[6, 50, 4], Operations: ['27-23=4'] Exploring Operation: 6*4=24, Resulting Numbers: [50, 24] Generated Node #3: [50, 24] from Operation: 6*4=24 Current State: 74:[50, 24], Operations: ['27-23=4', '6*4=24'] Exploring Operation: 50+24=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 93, 78, 44, 66 ]
37
[ "93-78=15", "66-44=22", "15+22=37" ]
Current State: 37:[93, 78, 44, 66], Operations: [] Exploring Operation: 93-78=15, Resulting Numbers: [44, 66, 15] Generated Node #2: [44, 66, 15] from Operation: 93-78=15 Current State: 37:[44, 66, 15], Operations: ['93-78=15'] Exploring Operation: 66-44=22, Resulting Numbers: [15, 22] Generated Node #3: [15, 22] from Operation: 66-44=22 Current State: 37:[15, 22], Operations: ['93-78=15', '66-44=22'] Exploring Operation: 15+22=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 4, 19, 31, 59 ]
26
[ "59-31=28", "28/4=7", "19+7=26" ]
Current State: 26:[4, 19, 31, 59], Operations: [] Exploring Operation: 59-31=28, Resulting Numbers: [4, 19, 28] Generated Node #2: [4, 19, 28] from Operation: 59-31=28 Current State: 26:[4, 19, 28], Operations: ['59-31=28'] Exploring Operation: 28/4=7, Resulting Numbers: [19, 7] Generated Node #3: [19, 7] from Operation: 28/4=7 Current State: 26:[19, 7], Operations: ['59-31=28', '28/4=7'] Exploring Operation: 19+7=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 79, 66, 32, 4 ]
49
[ "79-66=13", "32+4=36", "13+36=49" ]
Current State: 49:[79, 66, 32, 4], Operations: [] Exploring Operation: 79-66=13, Resulting Numbers: [32, 4, 13] Generated Node #2: [32, 4, 13] from Operation: 79-66=13 Current State: 49:[32, 4, 13], Operations: ['79-66=13'] Exploring Operation: 32+4=36, Resulting Numbers: [13, 36] Generated Node #3: [13, 36] from Operation: 32+4=36 Current State: 49:[13, 36], Operations: ['79-66=13', '32+4=36'] Exploring Operation: 13+36=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 36, 2, 34, 29 ]
25
[ "36+2=38", "34+29=63", "63-38=25" ]
Current State: 25:[36, 2, 34, 29], Operations: [] Exploring Operation: 36+2=38, Resulting Numbers: [34, 29, 38] Generated Node #2: [34, 29, 38] from Operation: 36+2=38 Current State: 25:[34, 29, 38], Operations: ['36+2=38'] Exploring Operation: 34+29=63, Resulting Numbers: [38, 63] Generated Node #3: [38, 63] from Operation: 34+29=63 Current State: 25:[38, 63], Operations: ['36+2=38', '34+29=63'] Exploring Operation: 63-38=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 17, 1, 51, 68 ]
35
[ "17+1=18", "68-51=17", "18+17=35" ]
Current State: 35:[17, 1, 51, 68], Operations: [] Exploring Operation: 17+1=18, Resulting Numbers: [51, 68, 18] Generated Node #2: [51, 68, 18] from Operation: 17+1=18 Current State: 35:[51, 68, 18], Operations: ['17+1=18'] Exploring Operation: 68-51=17, Resulting Numbers: [18, 17] Generated Node #3: [18, 17] from Operation: 68-51=17 Current State: 35:[18, 17], Operations: ['17+1=18', '68-51=17'] Exploring Operation: 18+17=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 22, 5, 81, 40 ]
43
[ "22+5=27", "81/27=3", "40+3=43" ]
Current State: 43:[22, 5, 81, 40], Operations: [] Exploring Operation: 22+5=27, Resulting Numbers: [81, 40, 27] Generated Node #2: [81, 40, 27] from Operation: 22+5=27 Current State: 43:[81, 40, 27], Operations: ['22+5=27'] Exploring Operation: 81/27=3, Resulting Numbers: [40, 3] Generated Node #3: [40, 3] from Operation: 81/27=3 Current State: 43:[40, 3], Operations: ['22+5=27', '81/27=3'] Exploring Operation: 40+3=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 69, 47, 25, 73 ]
70
[ "69-47=22", "73-25=48", "22+48=70" ]
Current State: 70:[69, 47, 25, 73], Operations: [] Exploring Operation: 69-47=22, Resulting Numbers: [25, 73, 22] Generated Node #2: [25, 73, 22] from Operation: 69-47=22 Current State: 70:[25, 73, 22], Operations: ['69-47=22'] Exploring Operation: 73-25=48, Resulting Numbers: [22, 48] Generated Node #3: [22, 48] from Operation: 73-25=48 Current State: 70:[22, 48], Operations: ['69-47=22', '73-25=48'] Exploring Operation: 22+48=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 3, 96, 87, 69 ]
42
[ "96-87=9", "3*9=27", "69-27=42" ]
Current State: 42:[3, 96, 87, 69], Operations: [] Exploring Operation: 96-87=9, Resulting Numbers: [3, 69, 9] Generated Node #2: [3, 69, 9] from Operation: 96-87=9 Current State: 42:[3, 69, 9], Operations: ['96-87=9'] Exploring Operation: 3*9=27, Resulting Numbers: [69, 27] Generated Node #3: [69, 27] from Operation: 3*9=27 Current State: 42:[69, 27], Operations: ['96-87=9', '3*9=27'] Exploring Operation: 69-27=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 30, 1, 14, 81 ]
64
[ "30+1=31", "14+81=95", "95-31=64" ]
Current State: 64:[30, 1, 14, 81], Operations: [] Exploring Operation: 30+1=31, Resulting Numbers: [14, 81, 31] Generated Node #2: [14, 81, 31] from Operation: 30+1=31 Current State: 64:[14, 81, 31], Operations: ['30+1=31'] Exploring Operation: 14+81=95, Resulting Numbers: [31, 95] Generated Node #3: [31, 95] from Operation: 14+81=95 Current State: 64:[31, 95], Operations: ['30+1=31', '14+81=95'] Exploring Operation: 95-31=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 15, 24, 92, 46 ]
63
[ "24*92=2208", "2208/46=48", "15+48=63" ]
Current State: 63:[15, 24, 92, 46], Operations: [] Exploring Operation: 24*92=2208, Resulting Numbers: [15, 46, 2208] Generated Node #2: [15, 46, 2208] from Operation: 24*92=2208 Current State: 63:[15, 46, 2208], Operations: ['24*92=2208'] Exploring Operation: 2208/46=48, Resulting Numbers: [15, 48] Generated Node #3: [15, 48] from Operation: 2208/46=48 Current State: 63:[15, 48], Operations: ['24*92=2208', '2208/46=48'] Exploring Operation: 15+48=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 53, 74, 13, 65 ]
16
[ "74-53=21", "65/13=5", "21-5=16" ]
Current State: 16:[53, 74, 13, 65], Operations: [] Exploring Operation: 74-53=21, Resulting Numbers: [13, 65, 21] Generated Node #2: [13, 65, 21] from Operation: 74-53=21 Current State: 16:[13, 65, 21], Operations: ['74-53=21'] Exploring Operation: 65/13=5, Resulting Numbers: [21, 5] Generated Node #3: [21, 5] from Operation: 65/13=5 Current State: 16:[21, 5], Operations: ['74-53=21', '65/13=5'] Exploring Operation: 21-5=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 64, 35, 47, 57 ]
19
[ "64-35=29", "57-47=10", "29-10=19" ]
Current State: 19:[64, 35, 47, 57], Operations: [] Exploring Operation: 64-35=29, Resulting Numbers: [47, 57, 29] Generated Node #2: [47, 57, 29] from Operation: 64-35=29 Current State: 19:[47, 57, 29], Operations: ['64-35=29'] Exploring Operation: 57-47=10, Resulting Numbers: [29, 10] Generated Node #3: [29, 10] from Operation: 57-47=10 Current State: 19:[29, 10], Operations: ['64-35=29', '57-47=10'] Exploring Operation: 29-10=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 76, 12, 4, 24 ]
74
[ "76-4=72", "24/12=2", "72+2=74" ]
Current State: 74:[76, 12, 4, 24], Operations: [] Exploring Operation: 76-4=72, Resulting Numbers: [12, 24, 72] Generated Node #2: [12, 24, 72] from Operation: 76-4=72 Current State: 74:[12, 24, 72], Operations: ['76-4=72'] Exploring Operation: 24/12=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 24/12=2 Current State: 74:[72, 2], Operations: ['76-4=72', '24/12=2'] Exploring Operation: 72+2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 77, 21, 24, 15 ]
35
[ "77-21=56", "15*56=840", "840/24=35" ]
Current State: 35:[77, 21, 24, 15], Operations: [] Exploring Operation: 77-21=56, Resulting Numbers: [24, 15, 56] Generated Node #2: [24, 15, 56] from Operation: 77-21=56 Current State: 35:[24, 15, 56], Operations: ['77-21=56'] Exploring Operation: 15*56=840, Resulting Numbers: [24, 840] Generated Node #3: [24, 840] from Operation: 15*56=840 Current State: 35:[24, 840], Operations: ['77-21=56', '15*56=840'] Exploring Operation: 840/24=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 16, 25, 32, 22 ]
40
[ "16*25=400", "32-22=10", "400/10=40" ]
Current State: 40:[16, 25, 32, 22], Operations: [] Exploring Operation: 16*25=400, Resulting Numbers: [32, 22, 400] Generated Node #2: [32, 22, 400] from Operation: 16*25=400 Current State: 40:[32, 22, 400], Operations: ['16*25=400'] Exploring Operation: 32-22=10, Resulting Numbers: [400, 10] Generated Node #3: [400, 10] from Operation: 32-22=10 Current State: 40:[400, 10], Operations: ['16*25=400', '32-22=10'] Exploring Operation: 400/10=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 84, 87, 65, 15 ]
70
[ "87-84=3", "15/3=5", "65+5=70" ]
Current State: 70:[84, 87, 65, 15], Operations: [] Exploring Operation: 87-84=3, Resulting Numbers: [65, 15, 3] Generated Node #2: [65, 15, 3] from Operation: 87-84=3 Current State: 70:[65, 15, 3], Operations: ['87-84=3'] Exploring Operation: 15/3=5, Resulting Numbers: [65, 5] Generated Node #3: [65, 5] from Operation: 15/3=5 Current State: 70:[65, 5], Operations: ['87-84=3', '15/3=5'] Exploring Operation: 65+5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 5, 55, 61, 75 ]
46
[ "5+55=60", "75-61=14", "60-14=46" ]
Current State: 46:[5, 55, 61, 75], Operations: [] Exploring Operation: 5+55=60, Resulting Numbers: [61, 75, 60] Generated Node #2: [61, 75, 60] from Operation: 5+55=60 Current State: 46:[61, 75, 60], Operations: ['5+55=60'] Exploring Operation: 75-61=14, Resulting Numbers: [60, 14] Generated Node #3: [60, 14] from Operation: 75-61=14 Current State: 46:[60, 14], Operations: ['5+55=60', '75-61=14'] Exploring Operation: 60-14=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 8, 48, 83, 47 ]
91
[ "8+83=91", "48-47=1", "91*1=91" ]
Current State: 91:[8, 48, 83, 47], Operations: [] Exploring Operation: 8+83=91, Resulting Numbers: [48, 47, 91] Generated Node #2: [48, 47, 91] from Operation: 8+83=91 Current State: 91:[48, 47, 91], Operations: ['8+83=91'] Exploring Operation: 48-47=1, Resulting Numbers: [91, 1] Generated Node #3: [91, 1] from Operation: 48-47=1 Current State: 91:[91, 1], Operations: ['8+83=91', '48-47=1'] Exploring Operation: 91*1=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 75, 2, 63, 6 ]
15
[ "75-63=12", "6/2=3", "12+3=15" ]
Current State: 15:[75, 2, 63, 6], Operations: [] Exploring Operation: 75-63=12, Resulting Numbers: [2, 6, 12] Generated Node #2: [2, 6, 12] from Operation: 75-63=12 Current State: 15:[2, 6, 12], Operations: ['75-63=12'] Exploring Operation: 6/2=3, Resulting Numbers: [12, 3] Generated Node #3: [12, 3] from Operation: 6/2=3 Current State: 15:[12, 3], Operations: ['75-63=12', '6/2=3'] Exploring Operation: 12+3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 7, 88, 92, 30 ]
58
[ "92-88=4", "7*4=28", "30+28=58" ]
Current State: 58:[7, 88, 92, 30], Operations: [] Exploring Operation: 92-88=4, Resulting Numbers: [7, 30, 4] Generated Node #2: [7, 30, 4] from Operation: 92-88=4 Current State: 58:[7, 30, 4], Operations: ['92-88=4'] Exploring Operation: 7*4=28, Resulting Numbers: [30, 28] Generated Node #3: [30, 28] from Operation: 7*4=28 Current State: 58:[30, 28], Operations: ['92-88=4', '7*4=28'] Exploring Operation: 30+28=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 4, 40, 42, 98 ]
54
[ "98-42=56", "56/4=14", "40+14=54" ]
Current State: 54:[4, 40, 42, 98], Operations: [] Exploring Operation: 98-42=56, Resulting Numbers: [4, 40, 56] Generated Node #2: [4, 40, 56] from Operation: 98-42=56 Current State: 54:[4, 40, 56], Operations: ['98-42=56'] Exploring Operation: 56/4=14, Resulting Numbers: [40, 14] Generated Node #3: [40, 14] from Operation: 56/4=14 Current State: 54:[40, 14], Operations: ['98-42=56', '56/4=14'] Exploring Operation: 40+14=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 85, 38, 42, 61 ]
20
[ "85+38=123", "42+61=103", "123-103=20" ]
Current State: 20:[85, 38, 42, 61], Operations: [] Exploring Operation: 85+38=123, Resulting Numbers: [42, 61, 123] Generated Node #2: [42, 61, 123] from Operation: 85+38=123 Current State: 20:[42, 61, 123], Operations: ['85+38=123'] Exploring Operation: 42+61=103, Resulting Numbers: [123, 103] Generated Node #3: [123, 103] from Operation: 42+61=103 Current State: 20:[123, 103], Operations: ['85+38=123', '42+61=103'] Exploring Operation: 123-103=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 31, 17, 28, 20 ]
62
[ "31-17=14", "28+20=48", "14+48=62" ]
Current State: 62:[31, 17, 28, 20], Operations: [] Exploring Operation: 31-17=14, Resulting Numbers: [28, 20, 14] Generated Node #2: [28, 20, 14] from Operation: 31-17=14 Current State: 62:[28, 20, 14], Operations: ['31-17=14'] Exploring Operation: 28+20=48, Resulting Numbers: [14, 48] Generated Node #3: [14, 48] from Operation: 28+20=48 Current State: 62:[14, 48], Operations: ['31-17=14', '28+20=48'] Exploring Operation: 14+48=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 50, 70, 49, 35 ]
70
[ "50*49=2450", "70-35=35", "2450/35=70" ]
Current State: 70:[50, 70, 49, 35], Operations: [] Exploring Operation: 50*49=2450, Resulting Numbers: [70, 35, 2450] Generated Node #2: [70, 35, 2450] from Operation: 50*49=2450 Current State: 70:[70, 35, 2450], Operations: ['50*49=2450'] Exploring Operation: 70-35=35, Resulting Numbers: [2450, 35] Generated Node #3: [2450, 35] from Operation: 70-35=35 Current State: 70:[2450, 35], Operations: ['50*49=2450', '70-35=35'] Exploring Operation: 2450/35=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 30, 32, 80, 42 ]
83
[ "42-32=10", "30/10=3", "80+3=83" ]
Current State: 83:[30, 32, 80, 42], Operations: [] Exploring Operation: 42-32=10, Resulting Numbers: [30, 80, 10] Generated Node #2: [30, 80, 10] from Operation: 42-32=10 Current State: 83:[30, 80, 10], Operations: ['42-32=10'] Exploring Operation: 30/10=3, Resulting Numbers: [80, 3] Generated Node #3: [80, 3] from Operation: 30/10=3 Current State: 83:[80, 3], Operations: ['42-32=10', '30/10=3'] Exploring Operation: 80+3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 19, 89, 64, 12 ]
32
[ "19+89=108", "64+12=76", "108-76=32" ]
Current State: 32:[19, 89, 64, 12], Operations: [] Exploring Operation: 19+89=108, Resulting Numbers: [64, 12, 108] Generated Node #2: [64, 12, 108] from Operation: 19+89=108 Current State: 32:[64, 12, 108], Operations: ['19+89=108'] Exploring Operation: 64+12=76, Resulting Numbers: [108, 76] Generated Node #3: [108, 76] from Operation: 64+12=76 Current State: 32:[108, 76], Operations: ['19+89=108', '64+12=76'] Exploring Operation: 108-76=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 60, 35, 15, 93 ]
90
[ "35-15=20", "60/20=3", "93-3=90" ]
Current State: 90:[60, 35, 15, 93], Operations: [] Exploring Operation: 35-15=20, Resulting Numbers: [60, 93, 20] Generated Node #2: [60, 93, 20] from Operation: 35-15=20 Current State: 90:[60, 93, 20], Operations: ['35-15=20'] Exploring Operation: 60/20=3, Resulting Numbers: [93, 3] Generated Node #3: [93, 3] from Operation: 60/20=3 Current State: 90:[93, 3], Operations: ['35-15=20', '60/20=3'] Exploring Operation: 93-3=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 44, 24, 54, 87 ]
53
[ "44-24=20", "87-54=33", "20+33=53" ]
Current State: 53:[44, 24, 54, 87], Operations: [] Exploring Operation: 44-24=20, Resulting Numbers: [54, 87, 20] Generated Node #2: [54, 87, 20] from Operation: 44-24=20 Current State: 53:[54, 87, 20], Operations: ['44-24=20'] Exploring Operation: 87-54=33, Resulting Numbers: [20, 33] Generated Node #3: [20, 33] from Operation: 87-54=33 Current State: 53:[20, 33], Operations: ['44-24=20', '87-54=33'] Exploring Operation: 20+33=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 17, 35, 49, 87 ]
51
[ "87-17=70", "70/35=2", "49+2=51" ]
Current State: 51:[17, 35, 49, 87], Operations: [] Exploring Operation: 87-17=70, Resulting Numbers: [35, 49, 70] Generated Node #2: [35, 49, 70] from Operation: 87-17=70 Current State: 51:[35, 49, 70], Operations: ['87-17=70'] Exploring Operation: 70/35=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 70/35=2 Current State: 51:[49, 2], Operations: ['87-17=70', '70/35=2'] Exploring Operation: 49+2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 90, 95, 4, 85 ]
86
[ "95-90=5", "85-4=81", "5+81=86" ]
Current State: 86:[90, 95, 4, 85], Operations: [] Exploring Operation: 95-90=5, Resulting Numbers: [4, 85, 5] Generated Node #2: [4, 85, 5] from Operation: 95-90=5 Current State: 86:[4, 85, 5], Operations: ['95-90=5'] Exploring Operation: 85-4=81, Resulting Numbers: [5, 81] Generated Node #3: [5, 81] from Operation: 85-4=81 Current State: 86:[5, 81], Operations: ['95-90=5', '85-4=81'] Exploring Operation: 5+81=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 24, 19, 19, 58 ]
37
[ "24-19=5", "19*5=95", "95-58=37" ]
Current State: 37:[24, 19, 19, 58], Operations: [] Exploring Operation: 24-19=5, Resulting Numbers: [58, 5] Generated Node #2: [58, 5] from Operation: 24-19=5 Current State: 37:[58, 5], Operations: ['24-19=5'] Exploring Operation: 19*5=95, Resulting Numbers: [58, 95] Generated Node #3: [58, 95] from Operation: 19*5=95 Current State: 37:[58, 95], Operations: ['24-19=5', '19*5=95'] Exploring Operation: 95-58=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 83, 94, 8, 58 ]
30
[ "94-83=11", "8*11=88", "88-58=30" ]
Current State: 30:[83, 94, 8, 58], Operations: [] Exploring Operation: 94-83=11, Resulting Numbers: [8, 58, 11] Generated Node #2: [8, 58, 11] from Operation: 94-83=11 Current State: 30:[8, 58, 11], Operations: ['94-83=11'] Exploring Operation: 8*11=88, Resulting Numbers: [58, 88] Generated Node #3: [58, 88] from Operation: 8*11=88 Current State: 30:[58, 88], Operations: ['94-83=11', '8*11=88'] Exploring Operation: 88-58=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 74, 77, 56, 92 ]
79
[ "56+92=148", "148/74=2", "77+2=79" ]
Current State: 79:[74, 77, 56, 92], Operations: [] Exploring Operation: 56+92=148, Resulting Numbers: [74, 77, 148] Generated Node #2: [74, 77, 148] from Operation: 56+92=148 Current State: 79:[74, 77, 148], Operations: ['56+92=148'] Exploring Operation: 148/74=2, Resulting Numbers: [77, 2] Generated Node #3: [77, 2] from Operation: 148/74=2 Current State: 79:[77, 2], Operations: ['56+92=148', '148/74=2'] Exploring Operation: 77+2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 55, 8, 60, 19 ]
55
[ "60-55=5", "19-8=11", "5*11=55" ]
Current State: 55:[55, 8, 60, 19], Operations: [] Exploring Operation: 60-55=5, Resulting Numbers: [8, 19, 5] Generated Node #2: [8, 19, 5] from Operation: 60-55=5 Current State: 55:[8, 19, 5], Operations: ['60-55=5'] Exploring Operation: 19-8=11, Resulting Numbers: [5, 11] Generated Node #3: [5, 11] from Operation: 19-8=11 Current State: 55:[5, 11], Operations: ['60-55=5', '19-8=11'] Exploring Operation: 5*11=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 86, 38, 87, 11 ]
88
[ "87-11=76", "76/38=2", "86+2=88" ]
Current State: 88:[86, 38, 87, 11], Operations: [] Exploring Operation: 87-11=76, Resulting Numbers: [86, 38, 76] Generated Node #2: [86, 38, 76] from Operation: 87-11=76 Current State: 88:[86, 38, 76], Operations: ['87-11=76'] Exploring Operation: 76/38=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 76/38=2 Current State: 88:[86, 2], Operations: ['87-11=76', '76/38=2'] Exploring Operation: 86+2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 14, 87, 87, 92 ]
79
[ "92-14=78", "87/87=1", "78+1=79" ]
Current State: 79:[14, 87, 87, 92], Operations: [] Exploring Operation: 92-14=78, Resulting Numbers: [87, 87, 78] Generated Node #2: [87, 87, 78] from Operation: 92-14=78 Current State: 79:[87, 87, 78], Operations: ['92-14=78'] Exploring Operation: 87/87=1, Resulting Numbers: [78, 1] Generated Node #3: [78, 1] from Operation: 87/87=1 Current State: 79:[78, 1], Operations: ['92-14=78', '87/87=1'] Exploring Operation: 78+1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 61, 80, 11, 71 ]
41
[ "80-61=19", "71-11=60", "60-19=41" ]
Current State: 41:[61, 80, 11, 71], Operations: [] Exploring Operation: 80-61=19, Resulting Numbers: [11, 71, 19] Generated Node #2: [11, 71, 19] from Operation: 80-61=19 Current State: 41:[11, 71, 19], Operations: ['80-61=19'] Exploring Operation: 71-11=60, Resulting Numbers: [19, 60] Generated Node #3: [19, 60] from Operation: 71-11=60 Current State: 41:[19, 60], Operations: ['80-61=19', '71-11=60'] Exploring Operation: 60-19=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 64, 78, 42, 62 ]
59
[ "78-64=14", "42/14=3", "62-3=59" ]
Current State: 59:[64, 78, 42, 62], Operations: [] Exploring Operation: 78-64=14, Resulting Numbers: [42, 62, 14] Generated Node #2: [42, 62, 14] from Operation: 78-64=14 Current State: 59:[42, 62, 14], Operations: ['78-64=14'] Exploring Operation: 42/14=3, Resulting Numbers: [62, 3] Generated Node #3: [62, 3] from Operation: 42/14=3 Current State: 59:[62, 3], Operations: ['78-64=14', '42/14=3'] Exploring Operation: 62-3=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 28, 33, 35, 15 ]
10
[ "33-28=5", "35+15=50", "50/5=10" ]
Current State: 10:[28, 33, 35, 15], Operations: [] Exploring Operation: 33-28=5, Resulting Numbers: [35, 15, 5] Generated Node #2: [35, 15, 5] from Operation: 33-28=5 Current State: 10:[35, 15, 5], Operations: ['33-28=5'] Exploring Operation: 35+15=50, Resulting Numbers: [5, 50] Generated Node #3: [5, 50] from Operation: 35+15=50 Current State: 10:[5, 50], Operations: ['33-28=5', '35+15=50'] Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 96, 79, 46, 65 ]
69
[ "79+65=144", "46*144=6624", "6624/96=69" ]
Current State: 69:[96, 79, 46, 65], Operations: [] Exploring Operation: 79+65=144, Resulting Numbers: [96, 46, 144] Generated Node #2: [96, 46, 144] from Operation: 79+65=144 Current State: 69:[96, 46, 144], Operations: ['79+65=144'] Exploring Operation: 46*144=6624, Resulting Numbers: [96, 6624] Generated Node #3: [96, 6624] from Operation: 46*144=6624 Current State: 69:[96, 6624], Operations: ['79+65=144', '46*144=6624'] Exploring Operation: 6624/96=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 27, 54, 36, 19 ]
57
[ "54/27=2", "36+19=55", "2+55=57" ]
Current State: 57:[27, 54, 36, 19], Operations: [] Exploring Operation: 54/27=2, Resulting Numbers: [36, 19, 2] Generated Node #2: [36, 19, 2] from Operation: 54/27=2 Current State: 57:[36, 19, 2], Operations: ['54/27=2'] Exploring Operation: 36+19=55, Resulting Numbers: [2, 55] Generated Node #3: [2, 55] from Operation: 36+19=55 Current State: 57:[2, 55], Operations: ['54/27=2', '36+19=55'] Exploring Operation: 2+55=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 96, 56, 47, 75 ]
98
[ "75-47=28", "56/28=2", "96+2=98" ]
Current State: 98:[96, 56, 47, 75], Operations: [] Exploring Operation: 75-47=28, Resulting Numbers: [96, 56, 28] Generated Node #2: [96, 56, 28] from Operation: 75-47=28 Current State: 98:[96, 56, 28], Operations: ['75-47=28'] Exploring Operation: 56/28=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 56/28=2 Current State: 98:[96, 2], Operations: ['75-47=28', '56/28=2'] Exploring Operation: 96+2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 39, 37, 3, 90 ]
40
[ "39/3=13", "90-37=53", "53-13=40" ]
Current State: 40:[39, 37, 3, 90], Operations: [] Exploring Operation: 39/3=13, Resulting Numbers: [37, 90, 13] Generated Node #2: [37, 90, 13] from Operation: 39/3=13 Current State: 40:[37, 90, 13], Operations: ['39/3=13'] Exploring Operation: 90-37=53, Resulting Numbers: [13, 53] Generated Node #3: [13, 53] from Operation: 90-37=53 Current State: 40:[13, 53], Operations: ['39/3=13', '90-37=53'] Exploring Operation: 53-13=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 90, 3, 93, 45 ]
93
[ "90/45=2", "3-2=1", "93*1=93" ]
Current State: 93:[90, 3, 93, 45], Operations: [] Exploring Operation: 90/45=2, Resulting Numbers: [3, 93, 2] Generated Node #2: [3, 93, 2] from Operation: 90/45=2 Current State: 93:[3, 93, 2], Operations: ['90/45=2'] Exploring Operation: 3-2=1, Resulting Numbers: [93, 1] Generated Node #3: [93, 1] from Operation: 3-2=1 Current State: 93:[93, 1], Operations: ['90/45=2', '3-2=1'] Exploring Operation: 93*1=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 62, 20, 22, 2 ]
30
[ "62+20=82", "82-22=60", "60/2=30" ]
Current State: 30:[62, 20, 22, 2], Operations: [] Exploring Operation: 62+20=82, Resulting Numbers: [22, 2, 82] Generated Node #2: [22, 2, 82] from Operation: 62+20=82 Current State: 30:[22, 2, 82], Operations: ['62+20=82'] Exploring Operation: 82-22=60, Resulting Numbers: [2, 60] Generated Node #3: [2, 60] from Operation: 82-22=60 Current State: 30:[2, 60], Operations: ['62+20=82', '82-22=60'] Exploring Operation: 60/2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 86, 20, 77, 2 ]
58
[ "86+20=106", "106-77=29", "2*29=58" ]
Current State: 58:[86, 20, 77, 2], Operations: [] Exploring Operation: 86+20=106, Resulting Numbers: [77, 2, 106] Generated Node #2: [77, 2, 106] from Operation: 86+20=106 Current State: 58:[77, 2, 106], Operations: ['86+20=106'] Exploring Operation: 106-77=29, Resulting Numbers: [2, 29] Generated Node #3: [2, 29] from Operation: 106-77=29 Current State: 58:[2, 29], Operations: ['86+20=106', '106-77=29'] Exploring Operation: 2*29=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 77, 53, 22, 54 ]
99
[ "77+22=99", "54-53=1", "99*1=99" ]
Current State: 99:[77, 53, 22, 54], Operations: [] Exploring Operation: 77+22=99, Resulting Numbers: [53, 54, 99] Generated Node #2: [53, 54, 99] from Operation: 77+22=99 Current State: 99:[53, 54, 99], Operations: ['77+22=99'] Exploring Operation: 54-53=1, Resulting Numbers: [99, 1] Generated Node #3: [99, 1] from Operation: 54-53=1 Current State: 99:[99, 1], Operations: ['77+22=99', '54-53=1'] Exploring Operation: 99*1=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4